============================== prooftrans ============================ Prover9 (64) version 2022-xxA, December 2021. Process 15357 was started by veroff on b146-05, Thu Feb 10 06:34:18 2022 The command was "prover9 -f aa2_12.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 3824.89 (+ 163.02) seconds.: "aa2{x1/x2}". % Length of proof: 16490 (0 new hints) % Level of proof: 690 % Maximum clause weight: 103.000 % Given clauses in run: 17700 % Given clauses in proof: 16477 (0 new hints) 1 a(x,a(x,y,z),u) = 1 # label("aa2{x1/x2}") # label(non_clause) # label(goal). [goal]. 2 1 * x = x. [assumption]. 3 x * 1 = x. [assumption]. 4 x \ (x * y) = y. [assumption]. 5 x * (x \ y) = y. [assumption]. 6 (x * y) / y = x. [assumption]. 7 (x / y) * y = x. [assumption]. 8 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 9 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(8),flip(a)]. 10 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 11 K(x,y) = (y * x) \ (x * y). [copy(10),flip(a)]. 12 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 13 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(12),flip(a)]. 14 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 15 R(x,y,z) = ((x * y) * z) / (y * z). [copy(14),flip(a)]. 16 x \ (y * x) = T(y,x). [assumption]. 17 T(x,y) = y \ (x * y). [copy(16),flip(a)]. 18 T(T(x,y),z) = T(T(x,z),y). [assumption]. 19 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 20 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(19),flip(a)]. 21 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 22 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(21),flip(a)]. 23 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 24 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(23),flip(a)]. 25 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 26 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 27 x * ((y * z) \ x) = (x / z) * (y \ x) # label("middle Bol"). [assumption]. 28 (x / y) * (z \ x) = x * ((z * y) \ x). [copy(27),flip(a)]. 29 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 30 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 31 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 32 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 33 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 34 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 35 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 36 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 37 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 38 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 39 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 40 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 41 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 42 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 43 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 44 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 45 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 46 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 47 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [assumption]. 48 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. 49 T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. 50 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [assumption]. 51 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [assumption]. 52 x != y | x * z = y * z # label("Aux 1"). [assumption]. 53 x != y | z * x = z * y # label("Aux 2"). [assumption]. 54 x != y | x / z = y / z # label("Aux 3"). [assumption]. 56 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 57 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 58 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 59 a(c1,a(c1,c2,c3),c4) != 1 # label("aa2{x1/x2}") # answer("aa2{x1/x2}"). [deny(1)]. 60 1 \ x = x. [para(2(a,1),4(a,1,2))]. 61 x \ x = 1. [para(3(a,1),4(a,1,2))]. 62 x * (y * (y \ 1)) = x. [para(5(a,2),3(a,1,2))]. 63 x * (y * (y \ (x \ z))) = z. [para(5(a,2),5(a,1,2))]. 64 x / x = 1. [para(2(a,1),6(a,1,1))]. 65 x / 1 = x. [para(3(a,1),6(a,1,1))]. 66 x * (((x \ y) * z) / z) = y. [para(6(a,2),5(a,1,2))]. 67 x / (y \ x) = y. [para(5(a,1),6(a,1,1))]. 68 ((1 / x) * x) * y = y. [para(7(a,2),2(a,1,1))]. 69 x * ((1 / y) * y) = x. [para(7(a,2),3(a,1,2))]. 70 (x / y) \ x = y. [para(7(a,1),4(a,1,2))]. 72 (((x / y) / z) * z) * y = x. [para(7(a,2),7(a,1,1))]. 73 (x * y) \ ((x * 1) * y) = a(x,1,y). [para(2(a,1),9(a,2,1,2)),flip(a)]. 74 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(9(a,2),5(a,1,2))]. 75 (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). [para(5(a,1),9(a,2,1,2)),flip(a)]. 76 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(5(a,1),9(a,2,2,1)),flip(a)]. 77 (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). [para(5(a,1),9(a,2,2)),flip(a)]. 78 x \ (((x / (y * z)) * y) * z) = a(x / (y * z),y,z). [para(7(a,1),9(a,2,1)),flip(a)]. 79 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(7(a,1),9(a,2,2,1)),flip(a)]. 80 (x * y) * K(y,x) = y * x. [para(11(a,2),5(a,1,2))]. 81 x \ ((y \ x) * y) = K(y \ x,y). [para(5(a,1),11(a,2,1)),flip(a)]. 82 ((x \ y) * x) \ y = K(x,x \ y). [para(5(a,1),11(a,2,2)),flip(a)]. 83 x \ (y * (x / y)) = K(y,x / y). [para(7(a,1),11(a,2,1)),flip(a)]. 84 x \ (1 * (x * y)) = L(y,x,1). [para(2(a,1),13(a,2,1)),flip(a)]. 85 (x * y) \ (x * y) = L(1,y,x). [para(3(a,1),13(a,2,2,2)),flip(a)]. 86 (x * y) * L(z,y,x) = x * (y * z). [para(13(a,2),5(a,1,2))]. 87 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(5(a,1),13(a,2,1)),flip(a)]. 88 L(x \ y,x,z) = (z * x) \ (z * y). [para(5(a,1),13(a,2,2,2))]. 89 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(7(a,1),13(a,2,1)),flip(a)]. 90 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(7(a,1),13(a,2,2,2))]. 91 L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. [para(7(a,1),13(a,2,2))]. 92 ((x * 1) * y) / y = R(x,1,y). [para(2(a,1),15(a,2,2)),flip(a)]. 93 (x * y) / (y * 1) = R(x,y,1). [para(3(a,1),15(a,2,1)),flip(a)]. 94 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(5(a,1),15(a,2,1,1))]. 95 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(5(a,1),15(a,2,2)),flip(a)]. 96 R(x,y,z) * (y * z) = (x * y) * z. [para(15(a,2),7(a,1,1))]. 97 R(x / y,y,z) = (x * z) / (y * z). [para(7(a,1),15(a,2,1,1))]. 98 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(7(a,1),15(a,2,2)),flip(a)]. 99 T(x,1) = 1 \ x. [para(3(a,1),17(a,2,2))]. 100 T(x,x) = x. [para(17(a,2),4(a,1))]. 101 x * T(y,x) = y * x. [para(17(a,2),5(a,1,2))]. 102 T(x,x \ y) = (x \ y) \ y. [para(5(a,1),17(a,2,2))]. 103 T(x / y,y) = y \ x. [para(7(a,1),17(a,2,2))]. 104 L(T(T(x,y),z),u,w) = T(L(T(x,z),u,w),y). [para(18(a,1),20(a,1,1))]. 105 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(22(a,2),18(a,1,1)),flip(a)]. 106 (x / y) \ (x * ((z * y) \ x)) = z \ x. [para(28(a,1),4(a,1,2))]. 107 (x * y) * ((x * z) \ (x * y)) = ((x * y) / z) * y. [para(4(a,1),28(a,1,2)),flip(a)]. 108 (x * ((y * z) \ x)) / (y \ x) = x / z. [para(28(a,1),6(a,1,1))]. 110 1 * x != y | z != y | x = z. [para(2(a,1),29(b,1))]. 111 x != y | z * u != y | z \ x = u. [para(5(a,1),29(a,1))]. 112 x != y | z * u != y | x / u = z. [para(7(a,1),30(a,1))]. 113 1 * x != y | x = y. [para(2(a,1),38(a,2))]. 114 x * y != x | 1 = y. [para(3(a,1),38(a,1)),flip(a)]. 115 x * y != z | x \ z = y. [para(5(a,1),38(a,1)),flip(a)]. 116 x * (x \ (y * z)) != y * u | u = z. [para(5(a,2),38(a,2)),flip(a)]. 118 (x / y) * (z \ x) != x * u | (z * y) \ x = u. [para(28(a,2),38(a,1))]. 120 x * 1 != y | y = x. [para(3(a,1),39(a,1)),flip(a)]. 121 x * 1 != y | x = y. [para(3(a,1),39(a,2))]. 122 x * (y \ z) != z | x = y. [para(5(a,1),39(a,2))]. 123 x * y != z | z / y = x. [para(7(a,1),39(a,1)),flip(a)]. 124 x / y != z | z * y = x. [para(6(a,1),41(a,1)),flip(a)]. 125 R(x,y,z) != u / (y * z) | (x * y) * z = u. [para(15(a,2),41(a,1))]. 126 x \ y != z | x * z = y. [para(4(a,1),42(a,1)),flip(a)]. 127 T(x,y) != y \ z | x * y = z. [para(17(a,2),42(a,1))]. 132 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(18(a,1),44(a,1))]. 133 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(20(a,2),44(a,1)),flip(a)]. 134 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(22(a,2),44(a,1)),flip(a)]. 135 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(20(a,1),45(a,1))]. 136 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(25(a,1),45(a,1))]. 137 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(22(a,1),46(a,1))]. 138 ((x / y) * y) * z = x * z. [hyper(52,a,7,a)]. 139 (x * (x \ y)) * z = y * z. [hyper(52,a,5,a)]. 140 x * (y * (y \ z)) = x * z. [hyper(53,a,5,a)]. 141 ((x / y) * y) / z = x / z. [hyper(54,a,7,a)]. 142 T(T(x,y),z) \ u = T(T(x,z),y) \ u. [hyper(56,a,18,a)]. 143 (x * (x \ y)) \ z = y \ z. [hyper(56,a,5,a)]. 144 x \ T(T(y,z),u) = x \ T(T(y,u),z). [hyper(57,a,18,a)]. 145 (x * y) / y = (x / z) * z. [hyper(58,a,7,a,b,6,a(flip)),flip(a)]. 146 (x / y) * y = z * (z \ x). [hyper(58,a,7,a,b,5,a(flip))]. 147 (x / y) * y = x * 1. [hyper(58,a,7,a,b,3,a(flip))]. 148 x \ (x * y) = z * (z \ y). [hyper(58,a,5,a,b,4,a(flip)),flip(a)]. 149 x * (x \ y) = y * 1. [hyper(58,a,5,a,b,3,a(flip))]. 151 (x * (x \ 1)) \ y = y. [para(5(a,2),60(a,1,1))]. 152 ((1 / x) * x) \ y = y. [para(7(a,2),60(a,1,1))]. 153 x * ((1 * y) \ x) = (x / y) * x. [para(60(a,1),28(a,1,2)),flip(a)]. 154 1 \ x != y | x = y. [para(60(a,1),42(a,2))]. 155 K(x,x) = 1. [hyper(58,a,11,a,b,61,a)]. 156 x \ x = 1 * 1. [hyper(58,a,61,a,b,3,a(flip))]. 157 x / (y * (y \ 1)) = x. [para(5(a,2),65(a,1,2))]. 158 x / 1 != y | y = x. [para(65(a,1),41(a,1)),flip(a)]. 159 x / 1 != y | x = y. [para(65(a,1),41(a,2))]. 160 T(x,R(x,y,z)) = x. [hyper(37,a,22,a,b,100,a(flip))]. 161 T(x,L(x,y,z)) = x. [hyper(36,a,20,a,b,100,a(flip))]. 162 T(x,T(x,y)) = x. [hyper(35,a,18,a,b,100,a(flip))]. 163 T(T(x,y),x) = T(x,y). [para(100(a,1),18(a,1,1)),flip(a)]. 164 T(L(x,y,z),x) = L(x,y,z). [para(100(a,1),20(a,1,1)),flip(a)]. 166 x / (y \ x) = (y / z) * z. [hyper(58,a,67,a,b,7,a(flip))]. 167 x / (y \ x) = z * (z \ y). [hyper(58,a,67,a,b,5,a(flip))]. 168 (x / (y \ x)) * z = y * z. [hyper(52,a,67,a)]. 169 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(31,a,15,a(flip),b,67,a),flip(a)]. 170 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(9(a,2),67(a,1,2))]. 172 (x * (y * z)) / L(z,y,x) = x * y. [para(13(a,2),67(a,1,2))]. 173 (x * y) / T(x,y) = y. [para(17(a,2),67(a,1,2))]. 174 x * ((y * (z \ x)) \ x) = z * (y \ x). [para(67(a,1),28(a,1,1)),flip(a)]. 175 x / y != z | z \ x = y. [para(67(a,1),40(a,1)),flip(a)]. 176 (x / y) \ x = y / 1. [hyper(58,a,70,a,b,65,a(flip))]. 177 (x / y) \ x = z * (z \ y). [hyper(58,a,70,a,b,5,a(flip))]. 178 ((x / y) \ x) * z = y * z. [hyper(52,a,70,a)]. 179 x * ((y / (x \ z)) \ y) = z. [hyper(33,a,4,a,b,70,a(flip))]. 180 ((x / (y / z)) \ x) \ y = z. [hyper(31,a,67,a,b,70,a(flip))]. 181 x * (((x / y) * z) \ x) = (x / z) * y. [para(70(a,1),28(a,1,2)),flip(a)]. 182 (x / y) \ z != y | x = z. [para(70(a,1),42(a,1)),flip(a)]. 183 x \ y != z | y / z = x. [para(70(a,1),43(a,1)),flip(a)]. 184 T(x,1) = x. [hyper(58,a,99,a,b,60,a)]. 185 K(x,1) = 1. [hyper(50,a,184,a)]. 186 T(1,x) = 1. [hyper(49,a,184,a)]. 187 T(x,1) != y | x = y. [para(184(a,1),44(a,2))]. 188 T(x,y \ y) = x. [para(61(a,2),184(a,1,2))]. 190 K(x,T(x,y)) = 1. [hyper(50,a,162,a)]. 191 T(x,T(T(x,y),z)) = x. [hyper(35,a,18,a,b,162,a(flip))]. 192 T(T(x,y),T(x,z)) = T(x,y). [para(162(a,1),18(a,1,1)),flip(a)]. 195 K(x,1) * y != z | y = z. [para(185(a,2),113(a,1,1))]. 196 x \ x != y | 1 = y. [para(156(a,2),113(a,1))]. 198 x * (y * (y \ 1)) != z | x = z. [para(5(a,2),121(a,1,2))]. 199 x * (y \ y) != z | x = z. [para(61(a,2),121(a,1,2))]. 200 (x * (x \ 1)) \ y != z | y = z. [para(5(a,2),154(a,1,1))]. 201 T(x,R(T(x,y),z,u)) = x. [hyper(35,a,18,a,b,160,a(flip))]. 202 T(x,R(y,z,u)) != y | y = x. [para(160(a,1),44(a,1)),flip(a)]. 203 T(x,L(L(x,y,z),u,w)) = x. [hyper(36,a,20,a,b,161,a(flip))]. 204 T(x,L(T(x,y),z,u)) = x. [hyper(35,a,18,a,b,161,a(flip))]. 205 x * (x \ y) = y * (z * (z \ 1)). [hyper(58,a,62,a,b,5,a(flip)),flip(a)]. 206 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(62(a,1),9(a,2,1)),flip(a)]. 207 L(x \ 1,x,y) = (y * x) \ y. [para(62(a,1),13(a,2,2))]. 208 (x / y) * y = ((1 / z) * z) * x. [hyper(58,a,68,a,b,7,a(flip)),flip(a)]. 209 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(68(a,1),9(a,2,2)),flip(a)]. 210 R(1 / x,x,y) = y / (x * y). [para(68(a,1),15(a,2,1))]. 211 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(69(a,1),13(a,2,2))]. 212 T((x * y) / x,x) = y. [hyper(29,a,7,a(flip),b,101,a),flip(a)]. 213 (x * T(y,x)) / x = y. [hyper(30,a,7,a,b,101,a(flip))]. 214 x \ (y * T(x,y)) = y. [hyper(29,a,5,a,b,101,a(flip))]. 215 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(101(a,1),9(a,2,1,2)),flip(a)]. 216 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(101(a,1),9(a,2,2,1)),flip(a)]. 217 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(101(a,1),9(a,2,2)),flip(a)]. 218 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(101(a,1),13(a,2,1)),flip(a)]. 219 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(101(a,1),13(a,2,2,2)),flip(a)]. 220 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(101(a,1),15(a,2,1,1)),flip(a)]. 221 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(101(a,1),15(a,2,1)),flip(a)]. 222 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(101(a,1),15(a,2,2)),flip(a)]. 223 x * T(T(y,x),z) = T(y,z) * x. [para(18(a,1),101(a,1,2))]. 224 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(20(a,2),101(a,1,2))]. 225 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(22(a,2),101(a,1,2))]. 226 x * y != z | y * u != z | T(x,y) = u. [para(101(a,1),29(a,1))]. 227 x * y != z * x | T(z,x) = y. [para(101(a,1),38(a,1)),flip(a)]. 228 T(x,y) * x = x * T(x,y). [para(162(a,1),101(a,1,2))]. 229 L(x,y,z) * x = x * L(x,y,z). [para(161(a,1),101(a,1,2))]. 230 T(x / (x / y),x / y) = y. [hyper(58,a,103,a,b,70,a)]. 232 T(T(x / y,z),y) = T(y \ x,z). [para(103(a,1),18(a,1,1)),flip(a)]. 233 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(103(a,1),20(a,1,1)),flip(a)]. 234 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(103(a,1),22(a,1,1)),flip(a)]. 235 T(x,y) != y \ z | z / y = x. [para(103(a,1),44(a,1)),flip(a)]. 236 T(x / y,y \ x) = x / y. [para(103(a,1),162(a,1,2))]. 237 (x / y) * y != z | z = x. [para(147(a,2),120(a,1))]. 238 (x / y) * y != z | x = z. [para(147(a,2),121(a,1))]. 239 x * (x \ y) != z | z = y. [para(149(a,2),120(a,1))]. 240 x * (x \ y) != z | y = z. [para(149(a,2),121(a,1))]. 241 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(58,a,13,a,b,151,a),flip(a)]. 242 K(x \ 1,x) = (x \ 1) * x. [hyper(58,a,11,a,b,151,a)]. 243 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(58,a,13,a,b,152,a),flip(a)]. 244 K(x,1 / x) = x * (1 / x). [hyper(58,a,11,a,b,152,a)]. 245 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(58,a,15,a,b,157,a),flip(a)]. 247 (x / y) \ x != z | z = y. [para(176(a,2),158(a,1))]. 248 (x / y) \ x != z | y = z. [para(176(a,2),159(a,1))]. 249 T(x,y) != z | (y * z) / y = x. [para(212(a,1),44(a,1)),flip(a)]. 250 T((x * y) / x,y) = (x * y) / x. [para(212(a,1),162(a,1,2))]. 251 x \ y != z | z * T(x,z) = y. [para(214(a,1),42(a,1)),flip(a)]. 253 x * L(y,z,u) != u * (z * y) | u * z = x. [para(13(a,2),122(a,1,2)),flip(b)]. 255 x * ((x * y) \ x) = x / y. [hyper(199,a,28,a),flip(a)]. 256 x * ((x * y) \ x) != z | x / y = z. [para(28(a,1),199(a,1))]. 257 L(T(x,y),z,u) * x = x * L(T(x,y),z,u). [para(204(a,1),101(a,1,2))]. 258 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(15(a,2),237(a,1,1)),flip(b)]. 259 x * T(y,x) != z | y * x = z. [para(173(a,1),237(a,1,1)),flip(b)]. 260 x * y != z | y * T(x,y) = z. [para(213(a,1),237(a,1,1)),flip(b)]. 261 (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. [para(9(a,2),239(a,1,2)),flip(b)]. 262 (x * y) * K(y,x) != z | y * x = z. [para(11(a,2),239(a,1,2)),flip(b)]. 263 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(13(a,2),239(a,1,2)),flip(b)]. 265 x \ (x * y) != z | z = y. [para(6(a,1),247(a,1,1))]. 266 x \ (y * x) != z | T(y,x) = z. [para(173(a,1),247(a,1,1)),flip(b)]. 267 x \ (x * y) != z | y = z. [para(6(a,1),248(a,1,1))]. 268 T((x * y) / x,x) != z | y = z. [para(103(a,2),267(a,1))]. 269 L(x \ (y \ z),x,y) = (y * x) \ z. [para(63(a,1),13(a,2,2))]. 272 R((x / y) / z,z,y) = x / (z * y). [para(72(a,1),15(a,2,1))]. 273 x * K(y \ x,y) = (y \ x) * y. [para(5(a,1),80(a,1,1))]. 274 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(80(a,1),13(a,2,2,2)),flip(a)]. 275 (x * y) * z != y * x | K(y,x) = z. [para(80(a,1),38(a,1)),flip(a)]. 276 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(80(a,1),173(a,1,1))]. 277 (x * y) \ (y * x) != z | K(y,x) = z. [para(80(a,1),265(a,1,2)),flip(b)]. 278 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(53,a,102,a)]. 279 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(52,a,102,a)]. 280 x != y | z != y | x = z. [para(2(a,1),110(a,1))]. 282 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(280,a,5,a,b,140,a)]. 283 (x / (y * (y \ z))) * z = x. [hyper(238,a,140,a),flip(a)]. 284 x / (y \ ((x / z) * z)) = y. [hyper(58,a,67,a(flip),b,141,a),flip(a)]. 285 x / y != (z / u) * u | z * y = x. [para(145(a,1),41(a,1)),flip(a)]. 286 ((x / y) * y) * z != u | x * z = u. [para(145(a,1),237(a,1,1)),flip(b)]. 287 (x * y) / y != z | x = z. [para(145(a,2),238(a,1))]. 288 x / (y \ x) != z | y = z. [para(5(a,1),287(a,1,1))]. 289 (x * T(y,x)) / x != z | y = z. [para(101(a,2),287(a,1,1))]. 290 (x / y) \ (z * (z \ x)) = y. [hyper(115,a,146,a)]. 291 (x / y) * y != z * u | z \ x = u. [para(146(a,2),38(a,1))]. 292 x * (x \ y) != z * u | y / u = z. [para(146(a,1),39(a,1))]. 294 x * (y * (y \ z)) != u | x * z = u. [para(148(a,1),239(a,1,2)),flip(b)]. 296 x / (y \ x) != z | z = y. [para(166(a,2),237(a,1))]. 297 (x * (x \ y)) \ z != u | y \ z = u. [para(167(a,1),247(a,1,1)),flip(b)]. 298 (x * (y \ 1)) \ 1 = y * (x \ 1). [hyper(110,a,28,a(flip),b,168,a(flip))]. 299 (x / y) \ x != z * u | z \ y = u. [para(177(a,2),38(a,1))]. 300 (x / y) * ((z / y) \ z) = x. [para(70(a,1),179(a,1,2,1,2))]. 301 T(x,y) * x != x * z | T(x,y) = z. [para(228(a,2),38(a,1))]. 302 (x / y) * (y \ x) = (y \ x) * (x / y). [para(236(a,1),101(a,1,2)),flip(a)]. 304 (x * y) \ x = x \ (x / y). [hyper(115,a,255,a),flip(a)]. 305 x / (x \ y) = x * (y \ x). [para(5(a,1),255(a,1,2,1)),flip(a)]. 306 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(15(a,2),283(a,1,1))]. 307 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(13(a,2),284(a,1,2))]. 308 x / a(y,z,(y * z) \ x) = y * (z * ((y * z) \ x)). [hyper(34,a,9,a(flip),b,290,a),flip(a)]. 309 x \ (y * (y \ z)) != u | z / u = x. [para(290(a,1),43(a,1)),flip(a)]. 311 x * ((y / z) \ y) != u | u / z = x. [para(300(a,1),39(a,1)),flip(a)]. 312 (x * y) * (x \ (x / y)) = x. [hyper(126,a,304,a)]. 313 (x / y) * (x \ (x / z)) = x * (((x * z) * y) \ x). [para(304(a,1),28(a,1,2))]. 315 (x * y) * (x \ (x / y)) != z | x = z. [para(304(a,1),240(a,1,2))]. 316 (x * y) / ((x * y) \ x) = (x * y) * y. [para(4(a,1),305(a,2,2))]. 317 (x * (y \ x)) * (z \ x) = x * ((z * (x \ y)) \ x). [para(305(a,1),28(a,1,1))]. 318 (x * x) * (x \ 1) = x. [para(64(a,1),312(a,1,2,2))]. 319 (x * y) \ x != z | x \ (x / y) = z. [para(312(a,1),265(a,1,2)),flip(b)]. 321 x \ (x * y) = L(y,x,1). [para(2(a,1),84(a,1,2))]. 322 L(x,y,1) = x. [hyper(267,a,321,a),flip(a)]. 324 L(1,x,y) = 1. [hyper(196,a,85,a),flip(a)]. 326 a(x,y,1) = 1. [hyper(48,a,324,a)]. 327 a(x,y,K(z,z)) = 1. [para(155(a,2),326(a,1,3))]. 328 (x * y) / y = R(x,1,y). [para(3(a,1),92(a,1,1,1))]. 329 R(x,1,y) = x. [hyper(287,a,328,a),flip(a)]. 332 (x * y) / y = R(x,y,1). [para(3(a,1),93(a,1,2))]. 333 R(x,y,1) = x. [hyper(287,a,332,a),flip(a)]. 335 L(x,y \ 1,y) != z | y * ((y \ 1) * x) = z. [para(13(a,2),200(a,1))]. 336 L(x \ 1,x,y) = y \ (y / x). [hyper(280,a,304,a(flip),b,207,a),flip(a)]. 337 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(280,a,143,a(flip),b,207,a),flip(a)]. 338 x / L(y \ 1,y,x) = x * y. [hyper(183,a,207,a(flip))]. 339 (x * y) * L(y \ 1,y,x) = x. [hyper(126,a,207,a(flip))]. 340 L(x \ 1,x,y / x) = y \ (y / x). [para(7(a,1),207(a,2,1))]. 341 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(207(a,1),25(a,1,1)),flip(a)]. 343 x * L(y \ 1,y,x) = x / y. [para(207(a,2),255(a,1,2))]. 344 R(1 / x,x,y) \ y = x * y. [hyper(175,a,210,a(flip))]. 345 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(210(a,1),22(a,2,1)),flip(a)]. 346 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(67(a,1),210(a,1,1))]. 347 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(18(a,1),259(a,1,2))]. 348 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(20(a,2),259(a,1,2))]. 349 L(T(x,y),z,u) * x != w | x * L(T(x,y),z,u) = w. [para(204(a,1),259(a,1,2))]. 350 (x \ y) \ y != z | T(x,x \ y) = z. [para(5(a,1),266(a,1,2))]. 352 T(x / y,y) != z | y \ x = z. [para(5(a,1),268(a,1,1,1))]. 353 x * L(y \ 1,y,z) = x * (z \ (z / y)). [hyper(53,a,336,a)]. 354 L(x \ 1,x,y) * z = (y \ (y / x)) * z. [hyper(52,a,336,a)]. 355 L((x \ y) \ 1,x \ y,y) = y \ x. [para(67(a,1),336(a,2,2))]. 357 x \ (x / L(y \ 1,y,x)) = y. [hyper(115,a,338,a(flip))]. 358 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(338(a,1),247(a,1,1)),flip(b)]. 359 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(339(a,1),13(a,2,2,2))]. 360 L(L(x \ 1,x,y),y,z) = (z * y) \ (z * (y / x)). [para(343(a,1),13(a,2,2,2))]. 362 x \ (x / y) != z | L(y \ 1,y,x) = z. [para(343(a,1),265(a,1,2)),flip(b)]. 363 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(67(a,1),344(a,1,1,1))]. 364 T(x,y) != z | y \ (x * y) = z. [para(6(a,1),352(a,1,1))]. 366 T(x,x \ y) != z | (x \ y) \ y = z. [para(67(a,1),352(a,1,1))]. 368 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(111,a,13,a,b,152,a(flip))]. 369 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(111,a,13,a,b,151,a(flip))]. 370 (x * (y \ z)) \ z = z \ (y * (x \ z)). [hyper(111,a,168,a(flip),b,28,a(flip)),flip(a)]. 371 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(112,a,15,a,b,157,a(flip))]. 372 L(x,y,1 / y) / (y * x) = 1 / y. [hyper(112,a,13,a,b,152,a(flip))]. 373 (x / y) * x = x * (y \ x). [para(2(a,1),153(a,1,2,1)),flip(a)]. 374 (x / y) / x = x / (x * y). [hyper(112,a,255,a(flip),b,373,a)]. 375 T(x / y,x) = y \ x. [hyper(227,a,373,a(flip))]. 376 1 / x = x \ 1. [hyper(110,a,373,a(flip),b,3,a(flip)),flip(a)]. 378 (x \ 1) \ 1 = x. [hyper(296,a,376,a)]. 379 1 / (1 / x) = x. [hyper(280,a,70,a(flip),b,376,a),flip(a)]. 380 (x \ 1) * x = 1. [hyper(124,a,376,a)]. 381 (x \ 1) * (y \ 1) = 1 * ((y * x) \ 1). [para(376(a,1),28(a,1,1))]. 382 T(x \ 1,x) = x \ 1. [para(376(a,1),103(a,1,1))]. 383 x \ 1 != y | y \ 1 = x. [para(376(a,1),175(a,1))]. 384 (x \ 1) \ 1 != y | x = y. [para(376(a,1),248(a,1,1))]. 385 T(1 / (1 / x),x \ 1) = x. [para(376(a,1),230(a,1,2))]. 386 K(x,x \ 1) = x * (1 / x). [para(376(a,1),244(a,1,2))]. 387 1 / x != y | x \ 1 = y. [para(378(a,1),288(a,1,2))]. 388 L(x,x \ 1,y) = y \ (y / (x \ 1)). [para(378(a,1),336(a,1,1))]. 389 x / L(y,y \ 1,x) = x * (y \ 1). [para(378(a,1),338(a,1,2,1))]. 390 x * L(y,y \ 1,x) = x / (y \ 1). [para(378(a,1),343(a,1,2,1))]. 392 K(x \ 1,x) = 1. [hyper(58,a,242,a,b,380,a)]. 393 K(x \ 1,x) = K(y \ 1,y). [hyper(280,a,392,a,b,392,a)]. 394 K(x \ 1,x) = (y \ 1) * y. [hyper(280,a,380,a,b,392,a),flip(a)]. 395 K(x \ 1,x) / y = y \ 1. [hyper(112,a,392,a,b,380,a)]. 396 (x \ 1) \ K(y \ 1,y) = x. [hyper(111,a,392,a,b,380,a)]. 397 T(x,K(y \ 1,y)) = x. [para(392(a,2),184(a,1,2))]. 398 L(x,y,K(z \ 1,z)) = x. [para(392(a,2),322(a,1,3))]. 399 R(x,K(y \ 1,y),z) = x. [para(392(a,2),329(a,1,2))]. 400 R(x,y,K(z \ 1,z)) = x. [para(392(a,2),333(a,1,3))]. 401 K(x,x \ 1) = 1. [para(378(a,1),392(a,1,1))]. 402 K(x,x \ 1) = K(y,y \ 1). [hyper(280,a,401,a,b,401,a)]. 403 (x \ 1) \ K(y,y \ 1) = x. [hyper(111,a,401,a,b,380,a)]. 404 T(x,K(y,y \ 1)) = x. [para(401(a,2),184(a,1,2))]. 405 L(x,y,K(z,z \ 1)) = x. [para(401(a,2),322(a,1,3))]. 407 R(x,y,K(z,z \ 1)) = x. [para(401(a,2),333(a,1,3))]. 408 x \ K(y,y \ 1) = 1 / x. [para(401(a,2),376(a,2,2)),flip(a)]. 409 T(x / (x / y),x) = y. [hyper(280,a,70,a(flip),b,375,a),flip(a)]. 410 T(x,y) != z \ y | y / z = x. [para(375(a,1),44(a,1)),flip(a)]. 411 T(x,y) = (x \ y) \ y. [para(67(a,1),375(a,1,1))]. 412 K(x \ 1,x) \ (y * K(x \ 1,x)) = y. [hyper(364,a,397,a)]. 413 T(x,K(y,1 / y)) = x. [para(70(a,1),397(a,1,2,1))]. 414 K(x \ 1,x) * y = y * K(x \ 1,x). [para(397(a,1),101(a,1,2))]. 416 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(397(a,1),259(a,1,2))]. 417 K(x,x \ 1) * y = y * K(x,x \ 1). [para(404(a,1),101(a,1,2))]. 418 x \ (K(y,y \ 1) * x) = K(y,y \ 1). [para(404(a,1),214(a,1,2,2))]. 419 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(404(a,1),259(a,1,2))]. 420 (x * y) / x = x / (x / y). [hyper(249,a,409,a)]. 421 T(x,y) != z | y / (y / z) = x. [para(409(a,1),44(a,1)),flip(a)]. 423 T(x,x \ y) = T(x,y). [hyper(280,a,102,a,b,411,a)]. 424 (R(x,y,z) \ u) \ u = R(T(x,u),y,z). [hyper(58,a,22,a,b,411,a),flip(a)]. 425 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(58,a,164,a(flip),b,411,a),flip(a)]. 427 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(58,a,161,a(flip),b,411,a),flip(a)]. 428 x / T(y,x) = y \ x. [hyper(183,a,411,a(flip))]. 429 (x \ y) * T(x,y) = y. [hyper(126,a,411,a(flip))]. 430 T(x,y) != z \ y | x \ y = z. [para(411(a,2),43(a,1))]. 431 x / T(y,x) != z | y \ x = z. [para(411(a,2),288(a,1,2))]. 432 T(x \ y,y) = T(x,y) \ y. [para(411(a,2),411(a,2,1))]. 434 T(x,x \ R(x,y,z)) = x. [hyper(280,a,160,a(flip),b,423,a),flip(a)]. 435 T(x,x * y) = T(x,y). [para(4(a,1),423(a,1,2)),flip(a)]. 436 T(x * (y * z),(x * y) * z) = T(x * (y * z),a(x,y,z)). [para(9(a,2),423(a,1,2)),flip(a)]. 437 T(x * y,x * (y * z)) = T(x * y,L(z,y,x)). [para(13(a,2),423(a,1,2)),flip(a)]. 438 T(T(x,y),x \ z) = T(T(x,z),y). [para(423(a,1),18(a,1,1)),flip(a)]. 441 x / T(T(y,x),z) = T(y,z) \ x. [para(18(a,1),428(a,1,2))]. 442 x / L(T(y,x),z,u) = L(y,z,u) \ x. [para(20(a,2),428(a,1,2))]. 443 T(x,y) / x = x \ T(x,y). [para(162(a,1),428(a,1,2))]. 444 R(x,y,z) / x = x \ R(x,y,z). [para(160(a,1),428(a,1,2))]. 445 L(x,y,z) / x = x \ L(x,y,z). [para(161(a,1),428(a,1,2))]. 446 x / (x \ y) = (y / x) \ x. [para(103(a,1),428(a,1,2))]. 447 x / T(x,y) = T(x,y) \ x. [para(163(a,1),428(a,1,2))]. 448 (x \ y) \ y != z | T(x,y) = z. [para(428(a,1),247(a,1,1)),flip(b)]. 449 x / L(x,y,z) = L(x,y,z) \ x. [para(164(a,1),428(a,1,2))]. 450 (x \ T(x,y)) * x = T(x,y). [para(162(a,1),429(a,1,2))]. 451 (x \ L(x,y,z)) * x = L(x,y,z). [para(161(a,1),429(a,1,2))]. 452 T(T(x,y),x * z) = T(T(x,z),y). [para(435(a,1),18(a,1,1)),flip(a)]. 453 (x \ 1) \ K(y \ 1,y) != z | x = z. [para(392(a,2),384(a,1,2))]. 454 L(x,y,K(z \ 1,z)) != u | x = u. [para(398(a,1),45(a,2))]. 455 L(x,y,K(z,1 / z)) = x. [para(70(a,1),398(a,1,3,1))]. 456 R(x,y,K(z,1 / z)) = x. [para(70(a,1),400(a,1,3,1))]. 457 R(x,y,K(1 / z,z)) = x. [para(376(a,2),400(a,1,3,1))]. 458 R(x,y,K(z,z \ 1)) != u | x = u. [para(407(a,1),46(a,2))]. 459 (x / y) \ (x / (x * y)) = L(x \ 1,x,x / y). [hyper(111,a,374,a(flip),b,343,a)]. 460 x / (x * (y \ x)) = y / x. [para(67(a,1),374(a,1,1)),flip(a)]. 461 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(385(a,1),18(a,1,1)),flip(a)]. 462 K(x \ 1,x) != y * z | z \ 1 = y. [para(394(a,2),39(a,1))]. 463 K(1 / x,x) / y = y \ 1. [para(376(a,2),395(a,1,1,1))]. 464 K(x,x \ 1) = y * (1 / y). [hyper(280,a,386,a(flip),b,402,a),flip(a)]. 466 x * (T(x,y) / x) = T(x,y). [hyper(126,a,443,a(flip))]. 467 x * (T(x,y) / x) != z | T(x,y) = z. [para(443(a,2),239(a,1,2)),flip(b)]. 468 (x / y) \ y = y * (x \ y). [hyper(58,a,305,a(flip),b,446,a),flip(a)]. 469 T(x,y) / x != z | x \ T(x,y) = z. [para(450(a,1),287(a,1,1))]. 470 (x / y) * (y * (x \ y)) = y. [hyper(124,a,460,a)]. 471 K(x,x \ 1) != y * z | 1 / y = z. [para(464(a,2),38(a,1))]. 472 K(x,1 / x) = y * (1 / y). [para(376(a,2),464(a,1,2))]. 473 T(x,y) != x * z | T(x,y) / x = z. [para(466(a,1),38(a,1))]. 474 x \ T(x,y) != z | T(x,y) / x = z. [para(466(a,1),265(a,1,2)),flip(b)]. 475 x * ((y * x) \ x) = y \ x. [para(6(a,1),468(a,1,1)),flip(a)]. 476 x / (x * (y \ x)) != z | y / x = z. [para(468(a,1),288(a,1,2))]. 479 (x * y) \ y = y \ (x \ y). [hyper(115,a,475,a),flip(a)]. 480 (x * y) * (y \ (x \ y)) = y. [hyper(126,a,479,a)]. 481 (x \ y) \ (x \ (x \ y)) = y \ (x \ y). [hyper(58,a,143,a(flip),b,479,a),flip(a)]. 482 x * ((y * x) \ x) != z | y \ x = z. [para(479(a,2),239(a,1,2)),flip(b)]. 483 (x * y) \ y != z | y \ (x \ y) = z. [para(480(a,1),265(a,1,2)),flip(b)]. 485 x / L(x,y,z) != u | L(x,y,z) \ x = u. [para(164(a,1),431(a,1,2))]. 486 x \ y != z | T(y / x,y) = z. [para(70(a,1),448(a,1,1))]. 487 T(x,x \ y) != z | T(x,y) = z. [para(102(a,2),448(a,1))]. 489 T(x,y) != z | T(x,x * y) = z. [para(4(a,1),487(a,1,2))]. 490 T(x * (y * z),a(x,y,z)) != u | T(x * (y * z),(x * y) * z) = u. [para(9(a,2),487(a,1,2))]. 491 T(x * y,L(z,y,x)) != u | T(x * y,x * (y * z)) = u. [para(13(a,2),487(a,1,2))]. 492 x * (y * (y \ 1)) != z * u | z \ x = u. [para(205(a,1),38(a,1))]. 493 ((1 / x) * x) * y != z * u | y / u = z. [para(208(a,1),39(a,1))]. 494 x * T(x \ (y * x),z) = T(y,z) * x. [para(17(a,1),223(a,1,2,1))]. 495 T(x / y,z) * y = y * T(y \ x,z). [para(103(a,1),223(a,1,2,1)),flip(a)]. 496 (x \ y) * T(T(x,y),z) = T(x,z) * (x \ y). [para(423(a,1),223(a,1,2,1))]. 497 (x * L(x,y,z)) \ (L(x,y,z) * (x * u)) = L(u,x,L(x,y,z)). [para(229(a,1),13(a,2,1)),flip(a)]. 498 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(249,a,232,a)]. 499 T(x \ y,z) != T(u,x) | T(y / x,z) = u. [para(232(a,1),44(a,1))]. 500 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(232(a,1),259(a,1,2))]. 501 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(232(a,1),289(a,1,1,2))]. 502 T(x \ y,y) = T(x \ y,x). [para(375(a,1),232(a,1,1)),flip(a)]. 503 T(x \ y,x) = T(x,y) \ y. [hyper(58,a,432,a(flip),b,502,a),flip(a)]. 504 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(58,a,411,a(flip),b,502,a),flip(a)]. 505 x * T(x \ y,y) = (x \ y) * x. [para(502(a,2),101(a,1,2))]. 506 T((x * y) \ x,x * y) = T(x \ (x / y),x). [para(304(a,1),502(a,1,1)),flip(a)]. 507 T(x \ y,x) != z \ y | (x \ y) \ y = z. [para(502(a,1),430(a,1))]. 508 T(x,(y * x) / y) = x. [hyper(49,a,250,a)]. 509 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(250(a,1),429(a,1,2))]. 510 ((x * y) / x) / y = y \ ((x * y) / x). [para(508(a,1),428(a,1,2))]. 512 (x \ 1) * (y \ 1) = (y * x) \ 1. [para(378(a,1),298(a,1,1,2)),flip(a)]. 514 (x * (y * (z \ 1))) \ 1 = (z * (y \ 1)) * (x \ 1). [para(298(a,1),298(a,1,1,2))]. 515 x * L(y,z,u) != y | L(y,z,u) \ y = x. [para(425(a,1),122(a,1,2)),flip(b)]. 516 (x \ y) * T(T(x,y),z) != u | T(x,z) * (x \ y) = u. [para(438(a,1),259(a,1,2))]. 517 (x \ y) * T(T(T(x,y),z),u) = T(T(x,z),u) * (x \ y). [para(438(a,1),223(a,1,2,1))]. 518 x / T(y \ x,z) = T(x / y,z) \ x. [para(375(a,1),441(a,1,2,1))]. 519 T(x / (x / y),z) \ x = x / T(y,z). [para(409(a,1),441(a,1,2,1)),flip(a)]. 520 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(411(a,1),441(a,1,2,1))]. 521 x / T(T(y,z),y \ x) = T(y,z) \ x. [para(438(a,2),441(a,1,2))]. 522 (x \ 1) / (y \ 1) = (y \ x) \ 1. [hyper(112,a,143,a(flip),b,512,a)]. 523 ((x \ 1) * ((y \ 1) * z)) \ (((y * x) \ 1) * z) = a(x \ 1,y \ 1,z). [para(512(a,1),9(a,2,2,1)),flip(a)]. 524 (x * (y \ 1)) \ (x * ((z * y) \ 1)) = L(z \ 1,y \ 1,x). [para(512(a,1),13(a,2,2,2)),flip(a)]. 525 ((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) = R(x,y \ 1,z \ 1). [para(512(a,1),15(a,2,2)),flip(a)]. 527 ((1 / x) * y) \ 1 = (y \ 1) * x. [para(70(a,1),512(a,1,2)),flip(a)]. 528 ((x \ 1) * y) \ 1 = (y \ 1) * x. [para(378(a,1),512(a,1,2)),flip(a)]. 529 (x \ (y \ 1)) \ 1 = y / (x \ 1). [para(378(a,1),522(a,1,1)),flip(a)]. 530 ((x \ 1) \ y) \ 1 = (y \ 1) / x. [para(378(a,1),522(a,1,2)),flip(a)]. 531 (((x \ 1) * y) * z) \ 1 = (z \ 1) * ((y \ 1) * x). [para(528(a,1),512(a,1,2)),flip(a)]. 532 ((x \ 1) * y) / (z \ 1) = (z \ ((y \ 1) * x)) \ 1. [para(528(a,1),522(a,1,1))]. 533 (x / (y \ 1)) \ 1 = y \ (x \ 1). [hyper(383,a,529,a)]. 534 ((x / (y \ 1)) * z) \ 1 = (z \ 1) * (y \ (x \ 1)). [para(529(a,1),528(a,1,1,1))]. 535 ((x \ 1) / y) \ 1 = (y \ 1) \ x. [hyper(383,a,530,a)]. 536 (1 / x) \ (y \ 1) = (y / x) \ 1. [para(70(a,1),533(a,1,1,2)),flip(a)]. 537 (x \ 1) \ (y \ 1) = (y / x) \ 1. [para(378(a,1),533(a,1,1,2)),flip(a)]. 538 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [para(444(a,1),537(a,2,1))]. 539 (x * y) \ (x * y) = a(x,1,y). [para(3(a,1),73(a,1,2,1))]. 540 a(x,1,y) = 1. [hyper(196,a,539,a),flip(a)]. 542 L(x,1,y) = x. [hyper(47,a,540,a)]. 544 L(x,1,y) = z \ (z * x). [hyper(280,a,4,a,b,542,a),flip(a)]. 545 L(x,1,y) != z | z = x. [para(542(a,1),45(a,1)),flip(a)]. 546 L(x,1,y) != z | x = z. [para(542(a,1),45(a,2))]. 548 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(58,a,139,a(flip),b,86,a)]. 549 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(58,a,138,a(flip),b,86,a)]. 550 (x * (y * (x * y))) / (x * y) = L(x * y,y,x). [hyper(112,a,86,a(flip),b,229,a)]. 551 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(112,a,86,a(flip),b,101,a)]. 552 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(111,a,86,a(flip),b,101,a)]. 553 (x * (y * L(z,y,x))) \ (x * (y * z)) = a(x,y,L(z,y,x)). [para(86(a,1),9(a,2,2)),flip(a)]. 554 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(86(a,1),13(a,2,1)),flip(a)]. 555 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(86(a,1),13(a,2,2,2)),flip(a)]. 556 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(86(a,1),15(a,2,1)),flip(a)]. 557 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(20(a,1),86(a,1,2))]. 558 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(24(a,2),86(a,1,2))]. 559 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(25(a,1),86(a,1,2))]. 560 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(86(a,1),38(a,1)),flip(a)]. 561 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(101(a,1),86(a,1,1))]. 562 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(86(a,1),265(a,1,2)),flip(b)]. 563 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(398(a,1),86(a,1,2))]. 564 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(405(a,1),86(a,1,2))]. 565 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(455(a,1),86(a,1,2))]. 566 L(x \ T(y * x,y),x,y) = y. [hyper(280,a,214,a(flip),b,88,a),flip(a)]. 567 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(280,a,152,a(flip),b,88,a),flip(a)]. 568 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(280,a,151,a(flip),b,88,a),flip(a)]. 569 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(280,a,143,a(flip),b,88,a),flip(a)]. 570 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(7(a,1),88(a,2,1))]. 571 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(9(a,2),88(a,1,1)),flip(a)]. 572 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(88(a,1),20(a,2,1)),flip(a)]. 573 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(101(a,1),88(a,2,1))]. 574 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(101(a,1),88(a,2,2))]. 575 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(102(a,2),88(a,1,1))]. 576 L((x \ (x / y)) \ z,x \ (x / y),x * y) = x \ ((x * y) * z). [para(312(a,1),88(a,2,1))]. 577 L((x \ 1) \ y,x \ 1,x * x) = x \ ((x * x) * y). [para(318(a,1),88(a,2,1))]. 578 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(88(a,2),200(a,1))]. 579 L(L(x \ 1,x,y) \ z,L(x \ 1,x,y),y) = (y / x) \ (y * z). [para(343(a,1),88(a,2,1))]. 580 L(x \ L(y \ 1,y,z),x,z) = (z * x) \ (z / y). [para(343(a,1),88(a,2,2))]. 581 L(x \ (1 / y),x,y) = (y * x) \ K(z,1 / z). [para(472(a,2),88(a,2,2))]. 582 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(86(a,1),88(a,2,1))]. 583 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(86(a,1),88(a,2,2))]. 584 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(111,a,139,a(flip),b,96,a)]. 585 R(x / y,y,z) \ (x * z) = y * z. [hyper(111,a,138,a(flip),b,96,a)]. 586 R(x,1 / y,y) / y = x * (1 / y). [hyper(112,a,69,a(flip),b,96,a(flip))]. 587 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(111,a,96,a(flip),b,86,a)]. 588 R(x,y / z,z) * y = (x * (y / z)) * z. [para(7(a,1),96(a,1,2))]. 589 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(96(a,1),15(a,2,1,1)),flip(a)]. 590 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(96(a,1),15(a,2,2)),flip(a)]. 591 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(24(a,1),96(a,1,1))]. 592 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(26(a,1),96(a,1,1))]. 593 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(96(a,1),39(a,1))]. 594 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(101(a,1),96(a,1,2))]. 595 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(96(a,1),80(a,1,1))]. 596 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(80(a,1),96(a,1,2))]. 597 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(96(a,1),287(a,1,1))]. 598 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(96(a,1),198(a,1))]. 599 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(400(a,1),96(a,1,1)),flip(a)]. 600 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(407(a,1),96(a,1,1)),flip(a)]. 601 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(456(a,1),96(a,1,1)),flip(a)]. 602 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(457(a,1),96(a,1,1)),flip(a)]. 603 R(x,y,1 / y) * K(z,z \ 1) = (x * y) * (1 / y). [para(464(a,2),96(a,1,2))]. 604 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(280,a,157,a(flip),b,97,a),flip(a)]. 605 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(5(a,1),97(a,2,2))]. 606 R(x / (y / z),y / z,z) = (x * z) / y. [para(7(a,1),97(a,2,2))]. 607 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(97(a,1),22(a,2,1)),flip(a)]. 608 R(x / y,y,T(z,y)) = (x * T(z,y)) / (z * y). [para(101(a,1),97(a,2,2))]. 610 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(96(a,1),97(a,2,1))]. 611 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(96(a,1),97(a,2,2))]. 612 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(97(a,2),97(a,1,1))]. 613 x * (x \ y) != z * u | z \ y = u. [para(5(a,1),116(a,1,2,2)),flip(b)]. 614 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(101(a,1),169(a,1,2,1))]. 615 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(80(a,1),169(a,1,2,1))]. 616 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(86(a,1),169(a,1,2,1))]. 617 (x * y) / L(z,y / z,x) = x * (y / z). [para(7(a,1),172(a,1,1,2))]. 618 (x * (y * z)) / u != x * y | L(z,y,x) = u. [para(172(a,1),40(a,1)),flip(a)]. 619 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(376(a,1),211(a,1,2))]. 620 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(111,a,25,a,b,241,a)]. 621 L(x \ 1,y \ 1,y) = y * ((x * y) \ 1). [para(512(a,1),241(a,1,2)),flip(a)]. 622 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(111,a,25,a,b,243,a)]. 623 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(101(a,1),243(a,1,2)),flip(a)]. 624 (1 / x) * (x * y) = L(y,x,x \ 1). [para(376(a,1),243(a,2,3))]. 626 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(269(a,1),20(a,2,1))]. 627 x * (y / x) != y * z | K(x,y / x) = z. [para(7(a,1),275(a,1,1)),flip(a)]. 628 (x * (x \ y)) * z != u | y * z = u. [para(67(a,1),286(a,1,1,1))]. 630 (x / (y \ x)) * z != u | y * z = u. [para(166(a,2),286(a,1,1))]. 631 x * y != z * u | z \ (x * y) = u. [para(6(a,1),291(a,1,1))]. 635 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(13(a,2),292(a,1,2))]. 637 (x / y) * y != z * u | x / u = z. [para(70(a,1),292(a,1,2))]. 638 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(148(a,1),292(a,1,2))]. 641 L(x,y \ z,y) != u | z \ (y * ((y \ z) * x)) = u. [para(13(a,2),297(a,1))]. 642 (x * (x \ y)) \ z != u * w | u \ (y \ z) = w. [para(167(a,1),299(a,1,1))]. 643 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(337(a,1),161(a,1,2))]. 644 L(x \ 1,x,y / x) = L(x \ 1,x,y). [hyper(280,a,336,a,b,340,a),flip(a)]. 645 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(340(a,1),20(a,2,1)),flip(a)]. 646 L(x \ 1,x,y / x) * y = (y / x) * K(y \ (y / x),y). [para(340(a,2),273(a,2,1)),flip(a)]. 647 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [para(378(a,1),346(a,1,2))]. 648 T(x,y) != z | T(x,x \ y) = z. [para(411(a,2),350(a,1))]. 650 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(378(a,1),363(a,1,1,2))]. 651 T(x,y) != z | (x \ y) \ y = z. [para(423(a,1),366(a,1))]. 652 (1 / x) \ L(y,x,x \ 1) = x * y. [para(376(a,1),368(a,1,2,3))]. 654 L(x,y,y \ 1) / (y * x) = 1 / y. [para(376(a,1),372(a,1,1,3))]. 655 L(x \ L(y,y \ 1,z),x,z) = (z * x) \ (z / (y \ 1)). [para(388(a,2),269(a,1,1,2))]. 656 x / L(y,y \ 1,x) = x * (1 / y). [para(376(a,2),389(a,2,2))]. 657 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(567(a,1),20(a,2,1))]. 658 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(567(a,1),24(a,1,1)),flip(a)]. 659 L(x \ y,x,x \ 1) = (1 / x) * y. [para(376(a,1),567(a,1,3))]. 660 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(568(a,1),20(a,2,1))]. 661 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(568(a,1),161(a,1,2))]. 662 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(210(a,2),585(a,1,1,1))]. 663 R(x / (1 / y),1 / y,y) = x * y. [hyper(285,a,586,a),flip(a)]. 664 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [para(24(a,1),586(a,1,1))]. 665 R(x,y \ 1,y) / y = x * (1 / y). [para(376(a,1),586(a,1,1,2))]. 666 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(604(a,1),24(a,2,1))]. 667 (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. [para(9(a,2),613(a,1,2))]. 668 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(148(a,1),613(a,1,2))]. 670 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(101(a,1),624(a,1,2)),flip(a)]. 671 (x \ 1) * (x * y) = L(y,x,x \ 1). [para(376(a,1),624(a,1,1))]. 673 ((x / y) \ x) * z != u | y * z = u. [para(177(a,2),628(a,1,1))]. 674 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(139(a,2),631(a,1))]. 676 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(145(a,1),637(a,1,1))]. 677 (x \ 1) \ L(y,x,x \ 1) = x * y. [para(376(a,1),652(a,1,1))]. 679 x / L(1 / y,y,x) = x * (1 / (1 / y)). [para(70(a,1),656(a,1,2,2))]. 680 L(x \ y,x,x \ 1) = (x \ 1) * y. [para(376(a,1),659(a,2,1))]. 681 R(x / (1 / y),y \ 1,y) = x * y. [para(376(a,1),663(a,1,2))]. 682 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(124,a,665,a)]. 683 L(T(x,y),y,y \ 1) = (y \ 1) * (x * y). [para(101(a,1),671(a,1,2)),flip(a)]. 684 L(x \ y,x,x \ 1) != z | (x \ 1) * y = z. [para(671(a,1),294(a,1))]. 685 (x \ 1) * (x * y) != z | L(y,x,x \ 1) = z. [para(677(a,1),239(a,1,2)),flip(b)]. 687 (x * (y \ 1)) * y = R(x,y \ 1,y). [para(376(a,1),682(a,1,1,2))]. 688 (x * ((y \ 1) * y)) \ R(x,y \ 1,y) = a(x,y \ 1,y). [para(687(a,1),9(a,2,2)),flip(a)]. 689 (x / y) \ (x * (z \ x)) = (z / y) \ x. [para(7(a,1),106(a,1,2,2,1))]. 690 (x / y) * (z \ x) != u | x * ((z * y) \ x) = u. [para(106(a,1),239(a,1,2)),flip(b)]. 691 (x * (y \ x)) / (z \ x) = x / (z \ y). [para(5(a,1),108(a,1,1,2,1))]. 692 (x * (y \ z)) / z = z / (y * (x \ z)). [hyper(112,a,174,a(flip),b,373,a)]. 693 ((x / y) * z) \ x = x \ ((x / z) * y). [hyper(115,a,181,a),flip(a)]. 694 ((x / y) * z) / x = x / ((x / z) * y). [hyper(112,a,181,a(flip),b,373,a)]. 696 x \ ((x / y) * z) != u | ((x / z) * y) \ x = u. [para(181(a,1),265(a,1,2)),flip(b)]. 697 x * (((x / y) * L(x,z,u)) \ x) = (L(x,z,u) \ x) * y. [para(449(a,1),181(a,2,1))]. 698 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(58,a,86,a(flip),b,224,a)]. 699 x * (y * L(T(z,y),u,w)) = x * (L(z,u,w) * y). [hyper(53,a,224,a)]. 700 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(17(a,1),224(a,1,2,1))]. 701 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(22(a,2),224(a,1,2,1))]. 702 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(103(a,1),224(a,1,2,1)),flip(a)]. 703 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(212(a,1),224(a,1,2,1)),flip(a)]. 704 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(102(a,1),224(a,1,2,1))]. 705 L(x \ 1,y,z) * x = x * L(x \ 1,y,z). [para(382(a,1),224(a,1,2,1)),flip(a)]. 706 (x \ y) * L(T(x,y),z,u) = L(x,z,u) * (x \ y). [para(423(a,1),224(a,1,2,1))]. 707 x * L(T(x \ y,y),z,u) = L(x \ y,z,u) * x. [para(502(a,2),224(a,1,2,1))]. 708 ((x * y) * z) / R(T(x,y * z),y,z) = y * z. [hyper(112,a,96,a(flip),b,225,a)]. 709 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [hyper(112,a,5,a(flip),b,225,a)]. 710 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(111,a,96,a(flip),b,225,a)]. 711 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(225(a,1),38(a,1))]. 712 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(103(a,1),225(a,1,2,1)),flip(a)]. 713 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(212(a,1),225(a,1,2,1)),flip(a)]. 714 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(102(a,1),225(a,1,2,1))]. 715 T(x / y,y * (x \ y)) = y \ (y / (x \ y)). [hyper(226,a,470,a,b,312,a)]. 716 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(249,a,233,a)]. 717 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(249,a,234,a)]. 718 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(97(a,1),234(a,1,1))]. 719 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(272(a,1),234(a,1,1)),flip(a)]. 720 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(604(a,1),234(a,1,1)),flip(a)]. 721 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [hyper(240,a,279,a),flip(a)]. 722 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(279(a,2),11(a,2,1)),flip(a)]. 723 (x \ y) * (y / x) = y * ((x * x) \ y). [hyper(58,a,28,a(flip),b,302,a),flip(a)]. 724 (x * y) / (x \ (x / y)) = (x * y) * y. [para(304(a,1),316(a,1,2))]. 726 (x * y) \ (x * (z \ (x * y))) = (z * y) \ (x * y). [para(4(a,1),370(a,1,1,2)),flip(a)]. 727 (x * (y \ (y / z))) \ y = y \ ((y * z) * (x \ y)). [para(304(a,1),370(a,1,1,2))]. 728 x \ ((y \ x) * (z \ x)) = (z * T(y,x)) \ x. [para(411(a,2),370(a,1,1,2)),flip(a)]. 730 (x \ 1) * (y \ 1) != z | (y * x) \ 1 = z. [para(381(a,2),113(a,1))]. 731 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [para(412(a,1),140(a,1,2,2))]. 733 K(x \ 1,x) * y = y * K(z \ 1,z). [para(393(a,1),414(a,1,1))]. 736 K(x,x \ 1) * y != z * u | z \ (y * K(x,x \ 1)) = u. [para(417(a,2),631(a,1))]. 738 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(418(a,1),239(a,1,2)),flip(b)]. 739 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(375(a,1),424(a,2,1))]. 740 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [para(423(a,2),424(a,2,1)),flip(a)]. 742 R(T(x,(x * y) * z),y,z) = (y * z) \ ((x * y) * z). [para(169(a,1),424(a,1,1)),flip(a)]. 743 L(x,y,z) / L(x,u,w) = L(x,u,w) \ L(x,y,z). [para(161(a,1),442(a,1,2,1))]. 744 x / L(T(x,y),z,u) = L(T(x,y),z,u) \ x. [para(163(a,1),442(a,1,2,1))]. 745 x / L(y \ x,z,u) = L(x / y,z,u) \ x. [para(375(a,1),442(a,1,2,1))]. 746 T(x \ L(x,y,z),u) * x = x * T(x \ L(x,y,z),u). [para(451(a,1),494(a,1,2,1,2)),flip(a)]. 748 (x * T(y,z)) / x = T((x * y) / x,z). [para(4(a,1),498(a,1,1,2,1))]. 749 ((x * y) * T(L(z,y,x),u)) / (x * y) = T((x * (y * z)) / (x * y),u). [para(13(a,2),498(a,1,1,2,1))]. 751 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(175,a,518,a)]. 752 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(183,a,519,a)]. 753 x \ y != y / T(z,u) | T(y / (y / z),u) = x. [para(519(a,1),43(a,1)),flip(a)]. 754 x / T(y,x / y) = y \ x. [para(230(a,1),519(a,1,1)),flip(a)]. 755 T(x,y / x) = (x \ y) \ y. [hyper(175,a,754,a),flip(a)]. 756 T(x,y / x) = T(x,y). [hyper(31,a,428,a,b,754,a),flip(a)]. 757 (x \ y) \ y != z | T(x,y / x) = z. [para(754(a,1),247(a,1,1)),flip(b)]. 758 T(x,x * (y / x)) = T(x,y). [hyper(489,a,756,a)]. 759 T(x,y / x) = T(x,x \ y). [hyper(280,a,423,a,b,756,a),flip(a)]. 760 T(x,(x * y) / x) = T(x,y). [hyper(280,a,435,a(flip),b,756,a),flip(a)]. 761 T(x,y * x) = T(x,y). [para(6(a,1),756(a,1,2)),flip(a)]. 762 T(T(x,y),z / x) = T(T(x,z),y). [para(756(a,1),18(a,1,1)),flip(a)]. 764 T(x,y / x) != z | (x \ y) \ y = z. [para(756(a,2),651(a,1))]. 765 (x / y) * L(T(y,x),z,u) = L(y,z,u) * (x / y). [para(756(a,1),224(a,1,2,1))]. 766 T(x,y * x) = T(x,x * y). [hyper(280,a,435,a,b,761,a),flip(a)]. 767 T(x,(x \ y) * x) = T(x,y). [hyper(280,a,423,a(flip),b,761,a),flip(a)]. 768 T(T(x,y),z * x) = T(T(x,z),y). [para(761(a,1),18(a,1,1)),flip(a)]. 769 (x * y) * T(y,x) = y * (x * y). [para(761(a,1),101(a,1,2))]. 770 T(x,T(y,x)) = T(x,y). [para(213(a,1),760(a,1,2)),flip(a)]. 771 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(770(a,1),18(a,1,1)),flip(a)]. 772 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(770(a,1),20(a,1,1)),flip(a)]. 773 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(20(a,2),770(a,1,2))]. 774 x * T(y,T(x,y)) = y * x. [para(770(a,2),101(a,1,2))]. 775 T(x,x / y) = T(x,y \ x). [para(375(a,1),770(a,1,2)),flip(a)]. 776 T(x \ y,T(x,y)) = T(x \ y,x). [para(423(a,1),770(a,1,2))]. 777 T(x,T(y,y \ x)) = T(x,y). [para(423(a,2),770(a,1,2))]. 778 T(x * y,T(x,y)) = T(x * y,x). [para(435(a,1),770(a,1,2))]. 779 T(x,T(y,y * x)) = T(x,y). [para(435(a,2),770(a,1,2))]. 780 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(770(a,1),225(a,1,2,1))]. 781 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(58,a,22,a,b,766,a)]. 782 ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). [para(767(a,1),101(a,1,2))]. 783 T((x * y) * z,(y * z) \ ((x * y) * z)) = T((x * y) * z,R(x,y,z)). [para(15(a,2),775(a,1,2)),flip(a)]. 784 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(779(a,1),225(a,1,2,1))]. 785 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(102(a,1),771(a,1,1))]. 786 T(x / y,T(y,x)) = y \ x. [hyper(35,a,232,a,b,776,a(flip))]. 789 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [hyper(175,a,520,a),flip(a)]. 790 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(175,a,521,a),flip(a)]. 791 T(x * y,(x \ 1) \ y) = x * y. [hyper(49,a,661,a)]. 792 (x * y) / ((x \ 1) \ y) = ((x \ 1) \ y) \ (x * y). [para(661(a,1),428(a,1,2))]. 794 T((x \ 1) * y,x \ y) = (x \ 1) * y. [para(378(a,1),791(a,1,2,1))]. 795 ((x / y) / z) \ x = (x / z) \ (x * y). [para(70(a,1),689(a,1,2,2)),flip(a)]. 796 (x / y) \ (x * T(z,x)) = ((z \ x) / y) \ x. [para(411(a,2),689(a,1,2,2))]. 797 ((x * y) * (z \ (x * y))) / T(x,y) = (x * y) / (y \ z). [para(17(a,2),691(a,1,2))]. 800 (x \ y) / (z \ y) = y / (z \ (x * y)). [para(475(a,1),691(a,1,1))]. 802 (x * (y \ z)) / (u \ z) = z / (u \ (y * (x \ z))). [para(174(a,1),691(a,1,1))]. 803 ((x / y) * z) / (u \ x) = x / (u \ ((x / z) * y)). [para(181(a,1),691(a,1,1))]. 804 (x * y) / (y * (z \ (x * y))) = (z * T(x,y)) / (x * y). [para(17(a,2),692(a,1,1,2)),flip(a)]. 807 ((x / y) * L(z \ 1,z,x)) \ x = x \ ((x * z) * y). [para(338(a,1),693(a,2,2,1))]. 811 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(103(a,1),748(a,1,1,2)),flip(a)]. 812 T(x / (x / (y / z)),z) = x / (x / (z \ y)). [para(103(a,1),752(a,1,2,2)),flip(a)]. 813 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. [para(103(a,1),789(a,2,1,1))]. 814 K((x \ 1) * y,x \ y) = 1. [hyper(50,a,794,a)]. 816 x / (y \ ((x / z) * x)) = z / (y \ x). [para(70(a,1),800(a,1,1)),flip(a)]. 817 x / (y \ (x * (z \ x))) = z / (y \ x). [para(373(a,1),816(a,1,2,2))]. 818 (x * y) / (z \ y) = y / (z \ (x \ y)). [para(475(a,1),817(a,1,2,2)),flip(a)]. 819 x * a(x / (y * z),y,z) = ((x / (y * z)) * y) * z. [hyper(286,a,74,a)]. 820 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(7(a,1),74(a,1,1,2))]. 821 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(62(a,1),74(a,1,1))]. 822 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(101(a,1),74(a,1,1,2))]. 823 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(74(a,1),265(a,1,2)),flip(b)]. 824 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(101(a,1),87(a,1,2,2)),flip(a)]. 825 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(89(a,1),154(a,1))]. 826 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(101(a,1),89(a,1,2,2)),flip(a)]. 827 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(86(a,1),89(a,1,2,2)),flip(a)]. 828 x / (y * ((z * y) \ x)) = R(z,y,y \ x). [hyper(58,a,692,a(flip),b,95,a)]. 830 R(x,y,y \ z) * z != u | (x * y) * (y \ z) = u. [para(95(a,1),237(a,1,1)),flip(b)]. 831 T(x * (y * z),a(x,y,z)) != u | a(x,y,z) \ ((x * y) * z) = u. [para(170(a,1),352(a,1,1))]. 832 ((x * y) * z) \ (x * (y * z)) != u | L(a(x,y,z) \ 1,a(x,y,z),(x * y) * z) = u. [para(170(a,1),362(a,1,2))]. 833 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(624(a,1),209(a,1,1))]. 834 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(376(a,1),833(a,2,1))]. 835 L(T(x,y),y,x) = T(x,x * y). [hyper(266,a,219,a),flip(a)]. 836 L(T(x,y),y,z) != (z * y) \ u | z * (x * y) = u. [para(219(a,1),42(a,1))]. 837 L(T(x,y \ 1),y \ 1,y) != z | y * (x * (y \ 1)) = z. [para(219(a,1),200(a,1))]. 838 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(96(a,1),219(a,1,2))]. 839 L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. [para(219(a,1),297(a,1))]. 840 L(L(T(x,y),y,z) \ 1,(z * y) \ (z * (x * y)),z * (x * y)) = (z * (x * y)) \ (z * y). [para(219(a,1),355(a,1,1,1))]. 841 T(L(x,y,x),y) = T(x,x * y). [hyper(58,a,20,a(flip),b,835,a)]. 842 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(835(a,2),225(a,1,2,1))]. 844 L(x,y,x) = x. [hyper(35,a,435,a(flip),b,841,a),flip(a)]. 845 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(841(a,1),224(a,1,2,1))]. 846 L(x,y,x) = L(x,z,x). [hyper(280,a,844,a,b,844,a)]. 847 T(x / (x / y),x) = L(y,z,y). [hyper(280,a,409,a,b,844,a)]. 848 L(x,y,x) = 1 / (1 / x). [hyper(280,a,379,a,b,844,a),flip(a)]. 850 L(x \ y,z,x \ y) = T(y / x,y). [hyper(280,a,375,a,b,844,a),flip(a)]. 851 a(x,y,x) = 1. [hyper(48,a,844,a)]. 852 L(x,y,T(x,z)) = x. [hyper(133,a,844,a(flip))]. 853 L(x,y,L(x,z,u)) = x. [hyper(36,a,25,a,b,844,a(flip))]. 854 L(T(x,y),z,x) = T(x,y). [para(844(a,1),20(a,2,1))]. 855 L(L(x,y,z),u,x) = L(x,y,z). [para(844(a,1),25(a,1,1)),flip(a)]. 856 (x \ 1) * (x \ 1) = (x \ 1) / x. [para(844(a,1),343(a,1,2))]. 857 (x * y) * x = x * (y * x). [para(844(a,1),86(a,1,2))]. 858 a(x,y,x) = a(z,u,z). [hyper(280,a,851,a,b,851,a)]. 859 K(x \ 1,x) = a(y,z,y). [hyper(280,a,392,a,b,851,a)]. 860 a(x,y,x) \ z = z. [para(851(a,2),60(a,1,1))]. 861 T(x,a(y,z,y)) = x. [para(851(a,2),184(a,1,2))]. 862 K(x,a(y,z,y)) = 1. [para(851(a,2),185(a,1,2))]. 863 L(x,y,a(z,u,z)) = x. [para(851(a,2),322(a,1,3))]. 864 L(x,y,T(x,z)) = L(x,u,x). [hyper(280,a,844,a,b,852,a),flip(a)]. 865 (T(x,y) * z) * x = T(x,y) * (z * x). [para(852(a,1),86(a,1,2))]. 866 L(x,y,x) = a(z,u,z) \ x. [hyper(280,a,844,a,b,860,a)]. 867 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(127,a,861,a)]. 868 T(a(x,y,x),z) = a(x,y,x). [hyper(49,a,861,a)]. 869 a(x,y,x) * z = z * a(x,y,x). [para(861(a,1),101(a,1,2))]. 871 x * K(y,a(z,u,z)) = x. [para(862(a,2),3(a,1,2))]. 872 R(L(x,y,x),z,u) = L(R(x,z,u),w,x). [para(846(a,1),24(a,1,1))]. 874 L(x,y,L(x,z,u)) = L(x,w,x). [hyper(280,a,844,a,b,853,a),flip(a)]. 875 (L(x,y,z) \ 1) * x = L(x,y,z) \ x. [hyper(111,a,853,a(flip),b,241,a),flip(a)]. 876 L(T(x,y),z,L(x,u,w)) = T(x,y). [para(853(a,1),20(a,2,1))]. 877 (L(x,y,z) * u) * x = L(x,y,z) * (u * x). [para(853(a,1),86(a,1,2))]. 878 L(x,y,z \ (z / (x \ 1))) = x. [para(388(a,1),853(a,1,3))]. 879 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [hyper(111,a,863,a(flip),b,241,a),flip(a)]. 880 L(x,y,a(z,u,z)) != w | x = w. [para(863(a,1),45(a,2))]. 881 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(863(a,1),86(a,1,2))]. 883 T(L(x,y,x),x \ 1) = x. [para(848(a,2),385(a,1,1))]. 886 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(58,a,671,a,b,854,a)]. 887 a(x,y,T(x,z)) = 1. [hyper(48,a,854,a)]. 888 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(111,a,854,a(flip),b,671,a)]. 889 L(L(T(x,y),z,u),w,x) = L(T(x,y),z,u). [para(854(a,1),25(a,1,1)),flip(a)]. 890 L(x \ y,z,y / x) = T(y / x,y). [para(375(a,1),854(a,1,1))]. 891 (x * y) * T(x,z) = x * (y * T(x,z)). [para(854(a,1),86(a,1,2))]. 892 a(x,y,T(x,z)) = a(u,w,u). [hyper(280,a,851,a,b,887,a),flip(a)]. 893 L(T(x,x \ 1),y,x) = x. [hyper(58,a,20,a,b,883,a)]. 894 L(x,y,z) != z | T(z,z \ 1) = x. [para(883(a,1),135(a,1)),flip(a)]. 895 (x * y) * T(y,x) = (y * x) * y. [hyper(280,a,769,a,b,857,a)]. 896 T((x \ y) * x,x \ y) = y. [hyper(226,a,857,a,b,140,a(flip))]. 897 T(x * y,x) = y * x. [hyper(226,a,857,a,b,xx)]. 898 T(x,y) = (y \ x) * y. [hyper(226,a,139,a(flip),b,857,a(flip))]. 899 T(x,x / y) = y * (x / y). [hyper(226,a,138,a(flip),b,857,a(flip))]. 900 R(x,y,x) = x. [hyper(30,a,96,a,b,857,a(flip))]. 902 (x * (y \ x)) * (x / y) = (x / y) * (x * (x / y)). [para(373(a,1),857(a,1,1))]. 903 R(x,y,x) = R(x,z,x). [hyper(280,a,900,a,b,900,a)]. 904 R(T(x,y),z,T(x,y)) = T(x,x \ y). [hyper(280,a,423,a,b,900,a),flip(a)]. 905 R(x,y,x) = (x \ 1) \ 1. [hyper(280,a,378,a,b,900,a),flip(a)]. 906 a(x,y,x) \ R(z,u,z) = z. [hyper(58,a,860,a,b,900,a)]. 907 R(x,y,T(x,z)) = x. [hyper(134,a,900,a(flip))]. 908 R(T(x,y),z,x) = (x \ y) \ y. [para(900(a,1),424(a,1,1,1)),flip(a)]. 909 R(x,y,T(x,z)) = R(x,u,x). [hyper(280,a,900,a,b,907,a),flip(a)]. 910 R(T(x,y),z,T(x,u)) = (x \ y) \ y. [para(907(a,1),424(a,1,1,1)),flip(a)]. 911 T((x \ (x / y)) * (x * y),x \ (x / y)) = x. [hyper(280,a,312,a(flip),b,897,a),flip(a)]. 912 T(x * (y / x),x) = y. [hyper(280,a,7,a(flip),b,897,a),flip(a)]. 913 T(x * y,T(x,y)) = y * x. [hyper(58,a,778,a,b,897,a)]. 914 x * T(y * z,y) = x * (z * y). [hyper(53,a,897,a)]. 915 T(T(x * y,z),x) = T(y * x,z). [para(897(a,1),18(a,1,1)),flip(a)]. 916 T(x,y) != z * y | y * z = x. [para(897(a,1),44(a,1)),flip(a)]. 917 T(x * y,y) = T(x,y) * y. [para(101(a,1),897(a,1,1))]. 918 T(x * (y / x),x) != z | y = z. [para(897(a,2),238(a,1))]. 919 (x \ (x / y)) * (x * y) = T(x,x * y). [para(312(a,1),897(a,1,1)),flip(a)]. 921 x / (y * x) = (x * y) \ x. [para(897(a,1),428(a,1,2))]. 922 T(x,y) * (x \ y) = T(y,x \ y). [para(429(a,1),897(a,1,1)),flip(a)]. 923 T(x * (y * z),x * y) = L(z,y,x) * (x * y). [para(86(a,1),897(a,1,1))]. 924 T(L(x,y,y \ 1),y \ 1) = (y * x) * (y \ 1). [para(671(a,1),897(a,1,1))]. 925 L(x * y,z,u) * x = x * L(y * x,z,u). [para(897(a,1),224(a,1,2,1)),flip(a)]. 926 T((x * y) * z,x * (y * z)) = a(x,y,z) * (x * (y * z)). [para(74(a,1),897(a,1,1))]. 927 x * T(x \ y,y) = T(y,x). [hyper(280,a,505,a,b,898,a)]. 928 T(x,y) = x * K(y \ x,y). [hyper(280,a,273,a,b,898,a),flip(a)]. 929 T(x,y) / y = y \ x. [hyper(112,a,898,a,b,xx)]. 930 T(x \ y,x) = x \ T(y,x). [hyper(111,a,898,a,b,101,a),flip(a)]. 931 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(58,a,160,a(flip),b,898,a),flip(a)]. 932 L(T(x,y),z,u) / y = y \ L(x,z,u). [hyper(112,a,20,a,b,898,a(flip))]. 933 T(x,y) / (x * y) = (x * y) \ x. [hyper(112,a,435,a(flip),b,898,a(flip))]. 934 x \ (x / (x / y)) = y / x. [hyper(112,a,409,a(flip),b,898,a(flip)),flip(a)]. 935 (x \ y) / y = y \ (y / x). [hyper(112,a,375,a(flip),b,898,a(flip))]. 936 x / R(x,y,z) = R(x,y,z) \ x. [hyper(112,a,160,a(flip),b,898,a(flip))]. 937 (x \ y) / x = x \ (y / x). [hyper(112,a,103,a(flip),b,898,a(flip))]. 938 ((x \ y) * (x * z)) \ (T(y,x) * z) = a(x \ y,x,z). [para(898(a,2),9(a,2,2,1)),flip(a)]. 939 (x * (y \ z)) \ (x * T(z,y)) = L(y,y \ z,x). [para(898(a,2),13(a,2,2,2)),flip(a)]. 940 T(x,y) / y != z | y \ x = z. [para(898(a,2),287(a,1,1))]. 941 K(x,x \ y) = T(y,x) \ y. [para(898(a,2),82(a,1,1)),flip(a)]. 943 L(x \ y,x,z) * (z * x) = T(z * y,z * x). [para(88(a,2),898(a,2,1)),flip(a)]. 945 T(x * ((x \ y) * z),y) = L(z,x \ y,x) * y. [para(87(a,1),898(a,2,1))]. 946 x / (x / y) = x * (y / x). [hyper(421,a,912,a)]. 947 (x * y) / x = x * (y / x). [hyper(249,a,912,a)]. 948 T(x,y) != z | y * (z / y) = x. [para(912(a,1),44(a,1)),flip(a)]. 950 L(x * (y / x),z,u) \ x = x / L(y,z,u). [para(912(a,1),442(a,1,2,1)),flip(a)]. 951 T(x,y) / y = x / T(y,x). [hyper(280,a,428,a,b,929,a),flip(a)]. 953 x \ y != z / x | T(y,x) = z. [para(929(a,1),41(a,1))]. 954 (x \ y) * x != z | T(y,x) = z. [para(929(a,1),237(a,1,1)),flip(b)]. 956 (T(x,y) / y) \ x = T(y,x). [para(929(a,2),411(a,2,1)),flip(a)]. 957 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(929(a,1),754(a,1,2,2))]. 958 T(x,x \ 1) = R(x,y,x). [hyper(280,a,102,a,b,905,a)]. 959 T(T(x,x \ 1),y) = R(T(x,y),z,x). [para(958(a,2),22(a,2,1)),flip(a)]. 960 L(R(x,y,x),z,x) = x. [para(958(a,1),893(a,1,1))]. 961 R(x,y,x) = z \ T(x * z,x). [hyper(36,a,566,a,b,960,a),flip(a)]. 964 a(x,y,x) = L(z,u,z) \ z. [hyper(34,a,425,a,b,866,a(flip)),flip(a)]. 966 T(a(x,y,x),z) = a(u,w,u). [hyper(280,a,858,a,b,868,a),flip(a)]. 967 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(868(a,1),259(a,1,2))]. 968 T(x * T(x \ y,y),x \ y) = y. [para(505(a,2),896(a,1,1))]. 969 T(T(x,y),y \ x) = x. [para(898(a,2),896(a,1,1))]. 970 T(T(T(x,y),z),y \ x) = T(x,z). [para(969(a,1),18(a,1,1)),flip(a)]. 971 T(x,y \ z) != z | T(z,y) = x. [para(969(a,1),44(a,1)),flip(a)]. 972 T(T(x,y),z) * (y \ x) = (y \ x) * T(x,z). [para(969(a,1),223(a,1,2,1)),flip(a)]. 973 T(x \ y,T(y,x)) = T(x \ y,y). [para(969(a,1),770(a,1,2)),flip(a)]. 974 T(x,y \ x) = y * (x / y). [hyper(58,a,775,a(flip),b,899,a)]. 975 x \ T(y,x \ y) = y / x. [hyper(111,a,775,a(flip),b,899,a(flip))]. 977 T(T(x,y),z * (x / z)) = T(x,y). [para(899(a,1),192(a,1,2))]. 978 R(x,y,x) = a(z,u,z) * x. [hyper(126,a,906,a),flip(a)]. 979 T(R(x,y,x),z) = R(T(x,z),u,T(x,w)). [para(909(a,1),22(a,2,1)),flip(a)]. 980 L(R(x,y,T(x,z)),u,x) = x. [para(909(a,2),960(a,1,1))]. 983 x / (y * x) = x \ (x / y). [hyper(280,a,304,a(flip),b,921,a),flip(a)]. 984 x * (T(x,y) \ y) = T(y,x). [para(432(a,1),927(a,1,2))]. 985 T(x,y) != x * z | K(y \ x,y) = z. [para(928(a,2),38(a,1))]. 986 T(x,y) \ y = x \ T(y,x). [hyper(58,a,503,a(flip),b,930,a)]. 987 T(x \ y,x) != x \ z | T(y,x) = z. [para(930(a,2),42(a,1))]. 988 T(x \ (y / x),x) = x \ (x \ y). [para(103(a,1),930(a,2,2))]. 989 T(x \ (x / y),x) = x \ (y \ x). [para(375(a,1),930(a,2,2))]. 990 L((x / y) \ 1,x / y,x) = y / x. [hyper(362,a,934,a)]. 992 (x * (y / x)) * (z \ x) = x * ((z * (x / y)) \ x). [para(946(a,1),28(a,1,1))]. 993 ((x * (y \ x)) * x) / (x * (y \ x)) = (x * (y \ x)) * (y / x). [para(460(a,1),947(a,2,2))]. 994 a(x,y,x) != z | a(u,w,u) = z. [para(966(a,1),187(a,1))]. 998 x \ T(y,z \ y) = x \ (z * (y / z)). [hyper(111,a,974,a,b,5,a)]. 1000 x * (y / x) != z | T(y,x \ y) = z. [para(975(a,1),239(a,1,2)),flip(b)]. 1002 x \ (x / (y / x)) = x / y. [para(7(a,1),983(a,1,2)),flip(a)]. 1003 (x \ (x / y)) * (z \ x) = x * ((z * (y * x)) \ x). [para(983(a,1),28(a,1,1))]. 1004 x / (L(x,y,z) * x) = x \ (L(x,y,z) \ x). [para(449(a,1),983(a,2,2))]. 1005 T(x,y) * (x \ T(y,x)) = y. [hyper(126,a,986,a)]. 1007 x / (y / x) = x * (x / y). [hyper(126,a,1002,a),flip(a)]. 1008 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(758(a,1),1005(a,1,1))]. 1009 (x * (y \ x)) * ((x * (y \ x)) / x) = (x * (y \ x)) / (y / x). [para(460(a,1),1007(a,1,2)),flip(a)]. 1010 ((x / y) \ y) / (x / y) = (x / y) \ (y * (y / x)). [para(1007(a,1),937(a,2,2))]. 1011 (x \ 1) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z). [hyper(58,a,671,a,b,855,a)]. 1012 a(x,y,L(x,z,u)) = 1. [hyper(48,a,855,a)]. 1013 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [hyper(111,a,855,a(flip),b,671,a)]. 1014 (x \ 1) * L(x,y,z) = x \ L(x,y,z). [hyper(111,a,855,a(flip),b,241,a),flip(a)]. 1015 (x * y) * L(x,z,u) = x * (y * L(x,z,u)). [para(855(a,1),86(a,1,2))]. 1016 a(x,y,L(x,z,u)) = a(w,v5,w). [hyper(280,a,851,a,b,1012,a),flip(a)]. 1017 R(T(x,y),z,x) = T(x,y / x). [hyper(280,a,755,a,b,908,a),flip(a)]. 1019 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(397(a,1),916(a,1)),flip(a)]. 1020 x * K(y,1 / y) != z | K(y,1 / y) * x = z. [para(413(a,1),916(a,1)),flip(a)]. 1021 T(x * y,x) != z | y * x = z. [para(6(a,1),918(a,1,1,2))]. 1022 T(x,y) != z | (y \ x) * y = z. [para(66(a,1),918(a,1,1))]. 1025 x / T(T(x,y),z) != u | T(T(x,y),z) \ x = u. [para(191(a,1),940(a,1,1))]. 1026 x * y != z | T(y * x,y) = z. [para(4(a,1),954(a,1,1))]. 1028 x * T(x \ y,y) != z | T(y,x) = z. [para(505(a,2),954(a,1))]. 1029 x * R(y,z,y) = T(y * x,y). [hyper(126,a,961,a(flip))]. 1030 L(R(x,y,x),z,u) = (u * z) \ (u * T(x * z,x)). [para(961(a,2),88(a,1,1))]. 1034 a(x,y,T(x,z)) != u | a(w,v5,w) = u. [para(892(a,2),994(a,1))]. 1035 R(T(x,y * x),z,x) = T(x,y). [para(6(a,1),1017(a,2,2))]. 1038 T(x,y \ x) != z | T(y,x) * (y \ x) = z. [para(429(a,1),1021(a,1,1))]. 1039 T(x * (y * z),x * y) != u | L(z,y,x) * (x * y) = u. [para(86(a,1),1021(a,1,1))]. 1040 (x * y) / x != z | (y \ ((x * y) / x)) * y = z. [para(250(a,1),1022(a,1))]. 1041 T(R(x,y,x),z * x) = T(x,z). [hyper(58,a,22,a(flip),b,1035,a)]. 1042 L(R(x,y,x),z,u) * (w * x) = (w * x) * L(T(x,w),z,u). [para(1041(a,1),224(a,1,2,1)),flip(a)]. 1043 R(R(x,y,x),z,u) * (w * x) = (w * x) * R(T(x,w),z,u). [para(1041(a,1),225(a,1,2,1)),flip(a)]. 1044 (x \ 1) / x = (x * x) \ 1. [hyper(58,a,512,a(flip),b,856,a),flip(a)]. 1045 (x * x) \ 1 = x \ (1 / x). [hyper(58,a,937,a(flip),b,1044,a),flip(a)]. 1046 (x * x) \ 1 = x \ (x \ 1). [para(376(a,1),1045(a,2,2))]. 1047 R(x,y,x) = x * a(z,u,z). [para(906(a,1),867(a,1,1)),flip(a)]. 1048 (x \ T(x * y,z)) * x = T(y * x,z). [hyper(1022,a,915,a)]. 1049 T(x * y,(y * x) \ x) = y * x. [hyper(35,a,423,a(flip),b,915,a),flip(a)]. 1050 T(x * y,z) / y = y \ T(y * x,z). [hyper(112,a,915,a(flip),b,898,a(flip))]. 1051 T(T(x * y,z),u) * x = x * T(T(y * x,z),u). [para(915(a,1),223(a,1,2,1)),flip(a)]. 1052 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(915(a,1),930(a,2,2))]. 1054 T(T(T(x,y),z),z \ x) = T(x,y). [para(18(a,1),970(a,1,1))]. 1057 T(L(x \ 1,x,y),y) = y \ (x \ y). [para(336(a,2),989(a,1,1))]. 1058 T(x * y,x \ (y \ x)) = y * x. [para(479(a,1),1049(a,1,2))]. 1059 T(x / y,x) != z | y \ x = z. [para(850(a,1),545(a,1)),flip(b)]. 1062 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(959(a,2),363(a,1,1))]. 1063 L(x \ 1,x,y) * y = x \ y. [hyper(127,a,1057,a)]. 1064 L(T(x \ 1,y),x,y) = y \ (x \ y). [hyper(58,a,20,a,b,1057,a)]. 1065 L(x \ 1,x,y) \ (x \ y) = y. [hyper(115,a,1063,a)]. 1067 L(x,x \ 1,y) * y = (x \ 1) \ y. [para(378(a,1),1063(a,1,1,1))]. 1068 (x \ y) \ x = (y \ x) * x. [para(337(a,1),1063(a,1,1)),flip(a)]. 1069 ((x * (y * z)) \ (x * y)) * (x * y) = L(z,y,x) \ (x * y). [para(13(a,2),1068(a,1,1)),flip(a)]. 1070 L(x \ 1,x,y) * y != z | x \ y = z. [para(1065(a,1),239(a,1,2)),flip(b)]. 1071 L(L(T(x \ 1,y),z,u),x,y) = L(y \ (x \ y),z,u). [para(1064(a,1),25(a,1,1)),flip(a)]. 1072 L(T(x,y),x \ 1,y) = y \ ((x \ 1) \ y). [para(378(a,1),1064(a,1,1,1))]. 1073 (x \ 1) \ L(x,y,z) = x * L(x,y,z). [para(853(a,1),1067(a,1,1)),flip(a)]. 1074 T(x * (T(x,y) * z),x) = T(x,y) * (z * x). [hyper(1026,a,865,a)]. 1075 (T(x \ (x / y),z) * (x * y)) * (x \ (x / y)) = T(x \ (x / y),z) * x. [para(312(a,1),865(a,2,2))]. 1076 L(R(x,y,z),u,x) = L(R(x,y,z),w,x). [hyper(58,a,872,a(flip),b,872,a)]. 1077 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(376(a,2),875(a,1,1))]. 1079 T(x,y) * z != x * (u * T(x,y)) | T(x * u,T(x,y)) = z. [para(891(a,1),227(a,2))]. 1081 T(x,y) = (x \ (x / y)) * (x * y). [hyper(280,a,435,a(flip),b,919,a)]. 1082 T(x \ (x / y),x * y) = (x * y) \ T(x,y). [hyper(111,a,1081,a,b,101,a),flip(a)]. 1083 T(T(x,y),x \ (x / y)) = (x * y) * (x \ (x / y)). [para(1081(a,2),897(a,1,1))]. 1084 T(x,y) = (x / (y * x)) * (x * y). [para(983(a,2),1081(a,2,1))]. 1086 (x / (y * x)) \ T(x,y) = x * y. [hyper(111,a,1084,a,b,xx)]. 1087 R(1 / x,x,y) \ T(y,x) = y * x. [para(210(a,2),1086(a,1,1))]. 1088 L(x * y,z,u) / y = y \ L(y * x,z,u). [para(897(a,1),932(a,1,1,1))]. 1089 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(4(a,1),957(a,1,2,2))]. 1090 ((L(x,y,z) \ 1) * x) \ 1 = x \ L(x,y,z). [hyper(58,a,528,a,b,1014,a)]. 1091 L(x \ 1,x,L(x,y,z)) = x \ 1. [hyper(30,a,1063,a,b,1014,a)]. 1093 L((x \ y) \ 1,x \ y,(x \ 1) * y) = (x \ y) \ 1. [para(680(a,1),1091(a,1,3))]. 1094 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(5(a,1),1048(a,1,1,2,1)),flip(a)]. 1095 (x \ T(x * (y / x),z)) * x = T(y,z). [para(7(a,1),1048(a,2,1))]. 1097 T((x \ y) * x,z) / x = x \ T(y,z). [para(5(a,1),1050(a,2,2,1))]. 1098 x \ T(x * (y / x),z) = T(y,z) / x. [para(7(a,1),1050(a,1,1,1)),flip(a)]. 1099 (x \ T(x * y,z)) * x != u | T(y * x,z) = u. [para(1050(a,1),237(a,1,1)),flip(b)]. 1101 x \ L(y,z,u) != y * L(y,z,u) | y \ 1 = x. [para(1073(a,1),43(a,1)),flip(a)]. 1102 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(1094(a,2),39(a,1))]. 1103 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(103(a,1),1094(a,2,1,2))]. 1104 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(1094(a,2),82(a,1,1))]. 1105 T(x * (y / x),z) = x * (T(y,z) / x). [para(1095(a,1),66(a,1,2,1)),flip(a)]. 1106 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(1097(a,1),237(a,1,1)),flip(b)]. 1107 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(931(a,1),1097(a,1,1,1))]. 1111 T(x * (y / x),z) != x * u | T(y,z) / x = u. [para(1105(a,2),38(a,1))]. 1112 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(67(a,1),1105(a,1,1,2)),flip(a)]. 1113 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(103(a,1),1105(a,2,2,1))]. 1114 x * (T(R(y,x \ 1,x),z) / x) = T(x * (y * (1 / x)),z). [para(665(a,1),1105(a,1,1,2)),flip(a)]. 1115 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(58,a,225,a,b,306,a)]. 1117 ((x * y) * (y \ z)) / z != u | R(x,y,y \ z) = u. [para(306(a,1),287(a,1,1))]. 1118 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(352,a,345,a),flip(a)]. 1119 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(102(a,1),347(a,1,2,1))]. 1120 x * T(x \ 1,y) != z | T(x \ 1,y) * x = z. [para(382(a,1),347(a,1,2,1))]. 1121 x * T(x \ (y \ x),z) != u | T(x \ (x / y),z) * x = u. [para(989(a,1),347(a,1,2,1))]. 1122 (L(x \ 1,x,y) * (z * u)) \ (((y \ (y / x)) * z) * u) = a(L(x \ 1,x,y),z,u). [para(354(a,1),9(a,2,2,1)),flip(a)]. 1125 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(111,a,224,a(flip),b,548,a(flip))]. 1126 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(25(a,1),548(a,1,2))]. 1127 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(548(a,1),38(a,1))]. 1128 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(548(a,1),265(a,1,2)),flip(b)]. 1129 x * T(y / (y / z),y) = z * ((z \ x) * z). [para(847(a,2),548(a,1,2))]. 1130 (L(x,y \ z,y) / (y * ((y \ z) * x))) * (L(x,y \ z,y) * z) = T(L(x,y \ z,y),z). [para(548(a,1),1084(a,2,1,2)),flip(a)]. 1131 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(58,a,224,a(flip),b,549,a),flip(a)]. 1132 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(25(a,1),549(a,1,2))]. 1133 x \ ((x / y) * (y * z)) != u | L(z,y,x / y) = u. [para(549(a,1),265(a,1,2)),flip(b)]. 1134 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(569(a,1),20(a,2,1))]. 1135 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(569(a,1),24(a,1,1)),flip(a)]. 1137 K(x,y) = L(x \ T(x,y),x,y). [hyper(280,a,11,a,b,574,a)]. 1138 K(x,y) = L(T(x,y) / x,x,y). [para(443(a,2),1137(a,2,1))]. 1139 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(588(a,1),39(a,1))]. 1141 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(605(a,1),234(a,1,1))]. 1142 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(606(a,1),22(a,2,1))]. 1143 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(606(a,1),234(a,1,1)),flip(a)]. 1144 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(617(a,1),103(a,1,1))]. 1145 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(398(a,1),617(a,1,2))]. 1146 (T(x,y) * z) / x = T(x,y) * (z / x). [para(852(a,1),617(a,1,2))]. 1147 (L(x,y,z) * u) / x = L(x,y,z) * (u / x). [para(853(a,1),617(a,1,2))]. 1148 (x * y) / T(x,z) = x * (y / T(x,z)). [para(854(a,1),617(a,1,2))]. 1149 (x * y) / L(x,z,u) = x * (y / L(x,z,u)). [para(855(a,1),617(a,1,2))]. 1150 (x / y) * (z / T(x / y,T(y,x))) = ((x / y) * z) / (y \ x). [para(786(a,1),1148(a,1,2)),flip(a)]. 1151 (x * y) * (z / T(x * y,x)) = ((x * y) * z) / (y * x). [para(897(a,1),1148(a,1,2)),flip(a)]. 1152 L(T(x \ 1,y),z \ 1,z) = T(z * ((x * z) \ 1),y). [para(621(a,1),20(a,2,1))]. 1153 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(102(a,2),647(a,2,2,1)),flip(a)]. 1154 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(280,a,279,a,b,650,a),flip(a)]. 1155 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(670(a,1),224(a,1,2))]. 1156 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(4(a,1),718(a,2,1)),flip(a)]. 1157 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(719(a,1),306(a,1,1)),flip(a)]. 1159 x \ ((x * y) * (y \ 1)) != z | a(x,y,y \ 1) = z. [para(821(a,1),265(a,1,2)),flip(b)]. 1160 R(x,y,y \ z) \ z = y * ((x * y) \ z). [hyper(175,a,828,a)]. 1162 (x \ 1) * L(T(x,y),z,u) = x \ L(T(x,y),z,u). [hyper(111,a,889,a(flip),b,241,a),flip(a)]. 1163 L(T(L(x,y,z),u),w,x) = L(T(x,u),y,z). [para(20(a,1),889(a,1,1))]. 1164 (x * y) / L(T(x,z),u,w) = x * (y / L(T(x,z),u,w)). [para(889(a,1),617(a,1,2))]. 1166 T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. [para(1156(a,2),44(a,1)),flip(a)]. 1167 R(x,y,z) \ (y * z) = y * ((x * y) \ (y * z)). [para(4(a,1),1160(a,1,1,3))]. 1170 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(280,a,22,a,b,105,a)]. 1171 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(22(a,1),258(a,1,1))]. 1174 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(101(a,1),258(a,1,2))]. 1176 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(25(a,1),263(a,1,2))]. 1177 (x * y) * L(z,T(x,y),y) != u | y * (T(x,y) * z) = u. [para(101(a,1),263(a,1,1))]. 1178 L(x,y,z) * (z * y) != u | z * (y * T(x,z * y)) = u. [para(224(a,1),263(a,1))]. 1181 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(161(a,1),496(a,1,2,1)),flip(a)]. 1182 T((x * y) \ x,x * y) = x \ (y \ x). [hyper(280,a,989,a(flip),b,506,a),flip(a)]. 1183 T(x \ (x / y),x * y) = x \ (y \ x). [para(304(a,1),1182(a,1,1))]. 1184 L(x \ (x / y),z,u) * (x * y) = (x * y) * L(x \ (y \ x),z,u). [para(1183(a,1),224(a,1,2,1)),flip(a)]. 1185 (x * y) * z != y * (T(x,y) * u) | L(u,T(x,y),y) = z. [para(101(a,1),560(a,1,1))]. 1186 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(5(a,1),562(a,1,2,2))]. 1188 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(101(a,1),562(a,1,2,2))]. 1189 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) != w | L(u,L(z,y,x),x * y) = w. [para(86(a,1),562(a,1,1))]. 1190 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(86(a,1),562(a,1,2,2))]. 1191 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(74(a,1),562(a,1,2,2))]. 1193 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(225(a,1),597(a,1,2))]. 1195 L(T(x,y),y,y \ 1) != z | (y \ 1) * (x * y) = z. [para(17(a,2),684(a,1,1))]. 1197 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(123,a,703,a),flip(a)]. 1198 L((x * y) / x,z \ x,z) = (z * ((z \ x) * y)) / x. [hyper(112,a,548,a(flip),b,703,a),flip(a)]. 1199 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(112,a,86,a(flip),b,703,a),flip(a)]. 1201 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(210(a,1),712(a,1,1))]. 1202 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(123,a,713,a),flip(a)]. 1203 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [hyper(58,a,306,a(flip),b,713,a)]. 1204 T(x / y,y * (x \ y)) = y \ x. [para(67(a,1),715(a,2,2))]. 1207 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(716(a,1),268(a,1,1))]. 1208 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(269(a,1),716(a,1,1,2)),flip(a)]. 1209 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(567(a,1),716(a,1,1,2))]. 1210 ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). [para(568(a,1),716(a,1,1,2))]. 1211 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(1137(a,2),716(a,1,1,2)),flip(a)]. 1212 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(13(a,2),717(a,1,1,2,1))]. 1213 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(717(a,1),237(a,1,1)),flip(b)]. 1214 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [hyper(183,a,739,a)]. 1215 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [para(210(a,1),739(a,1,1,1)),flip(a)]. 1216 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [hyper(183,a,740,a(flip))]. 1217 (L(x / y,z,u) \ x) \ x = L(y \ x,z,u). [hyper(175,a,745,a)]. 1218 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(207(a,1),745(a,1,2)),flip(a)]. 1219 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(183,a,1218,a),flip(a)]. 1220 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(5(a,1),1219(a,2,2,2,1))]. 1221 ((x \ y) / z) \ y = (y / z) \ (x * y). [para(101(a,1),796(a,1,2)),flip(a)]. 1222 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(249,a,811,a)]. 1223 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(811(a,1),101(a,1,2)),flip(a)]. 1225 (x * (y / (y / (x \ z)))) / x = y / (y / (z / x)). [hyper(249,a,812,a)]. 1226 (x / (x / (y / z))) * z = z * (x / (x / (z \ y))). [para(812(a,1),101(a,1,2)),flip(a)]. 1227 T(((x / y) \ z) \ z,y) != u \ z | (y \ x) \ z = u. [para(813(a,2),43(a,1))]. 1228 (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). [para(813(a,1),101(a,1,2)),flip(a)]. 1229 L(x,y,z) \ (u * x) = (L(x,y,z) \ u) * x. [hyper(111,a,139,a(flip),b,877,a(flip))]. 1230 L(x,y,z) * (T(u,L(x,y,z)) * x) = (u * L(x,y,z)) * x. [para(101(a,1),877(a,1,1)),flip(a)]. 1231 (L(x,y,z) * (u * x)) \ (L(x,y,z) * u) = L(x \ 1,x,L(x,y,z) * u). [para(877(a,1),207(a,2,1)),flip(a)]. 1234 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(898(a,2),877(a,2,2))]. 1235 R(a(x,y,x),z,u) = a(x,y,x). [hyper(593,a,881,a)]. 1236 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(881(a,1),9(a,2,1)),flip(a)]. 1238 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(869(a,1),881(a,1,1))]. 1240 ((a(x,y,x) * (z / u)) * u) / z = a(x,y,x). [hyper(58,a,98,a,b,1235,a)]. 1241 L(x,y,R(a(z,u,z),w,v5)) = x. [para(1235(a,2),863(a,1,3))]. 1242 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(29,a,466,a,b,886,a)]. 1243 T(x \ 1,y) != (x \ 1) * z | x * T(x \ 1,y) = z. [para(886(a,1),38(a,1))]. 1245 T(T(x,y),x \ (x / y)) = x. [para(1081(a,2),911(a,1,1))]. 1247 T(x,y \ (y / z)) != y | T(y,z) = x. [para(1245(a,1),44(a,1)),flip(a)]. 1248 L(x * (y / x),z,u) = x / (x / L(y,z,u)). [hyper(183,a,950,a),flip(a)]. 1249 x / (x * L(x,y,z)) = x \ (L(x,y,z) \ x). [para(229(a,1),1004(a,1,2))]. 1250 x \ (y * L(x,z,u)) = (x \ y) * L(x,z,u). [hyper(111,a,139,a(flip),b,1015,a(flip))]. 1252 (x * (y * L(x,z,u))) \ L(x,z,u) = L(x,z,u) \ ((x * y) \ L(x,z,u)). [para(1015(a,1),479(a,1,1))]. 1255 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(102(a,1),1062(a,1,1,1))]. 1256 (x * y) \ T(x,y) = x \ (y \ x). [hyper(58,a,1183,a(flip),b,1082,a),flip(a)]. 1257 T(x,y) = (x * y) * (x \ (y \ x)). [hyper(126,a,1256,a),flip(a)]. 1258 (x * (y \ x)) \ T(x / y,x) = (x / y) \ (x \ (x / y)). [para(373(a,1),1256(a,1,1))]. 1259 T(x,y) = (x * y) * ((y * x) \ x). [para(479(a,2),1257(a,2,2))]. 1260 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [hyper(124,a,1088,a)]. 1261 x \ L(x * y,z,u) != w / x | L(y * x,z,u) = w. [para(1088(a,1),41(a,1))]. 1262 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [para(875(a,1),1090(a,1,1))]. 1263 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(383,a,1262,a)]. 1264 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [hyper(183,a,1262,a)]. 1265 (L(x,y,z) \ x) \ 1 != x \ u | L(x,y,z) = u. [para(1262(a,2),42(a,1))]. 1267 (x * (L(y,z,u) \ y)) \ 1 = (y \ L(y,z,u)) * (x \ 1). [para(1262(a,1),512(a,1,1)),flip(a)]. 1268 ((L(x,y,z) \ x) * u) \ 1 = (u \ 1) * (x \ L(x,y,z)). [para(1262(a,1),512(a,1,2)),flip(a)]. 1269 a(x \ 1,x,y) \ 1 = y \ L(y,x,x \ 1). [para(834(a,1),1262(a,1,1))]. 1270 a(x,y,x) \ 1 = z \ L(z,u,z). [para(964(a,2),1262(a,1,1))]. 1271 a(x,y,x) \ z = (u \ L(u,w,u)) * z. [para(1270(a,1),879(a,1,1)),flip(a)]. 1272 x \ L(x,y,x) = z / R(z,u,z). [hyper(112,a,906,a(flip),b,1271,a(flip)),flip(a)]. 1273 R(x,y,x) \ x = z \ L(z,u,z). [hyper(280,a,936,a(flip),b,1272,a)]. 1274 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(249,a,1103,a)]. 1275 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(1103(a,1),101(a,1,2)),flip(a)]. 1276 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(1113(a,1),101(a,1,2)),flip(a)]. 1277 (x * ((x \ y) * x)) / y = y / (y / x). [hyper(112,a,1129,a(flip),b,101,a(flip))]. 1279 x * (y / (y / T(z,y))) = z * ((z \ x) * z). [para(752(a,2),1129(a,1,2))]. 1280 (L(x,y,z) * L(x,u,w)) / x = L(x,y,z) * (x \ L(x,u,w)). [para(445(a,1),1147(a,2,2))]. 1281 L(x,x \ 1,y) * (y / x) = ((x \ 1) \ y) / x. [para(1067(a,1),1147(a,1,1)),flip(a)]. 1282 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(103(a,1),1170(a,1,1,1)),flip(a)]. 1286 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(1197(a,2),237(a,1,1)),flip(b)]. 1287 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(269(a,1),1197(a,2,1,2))]. 1288 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(340(a,1),1197(a,2,1,2))]. 1289 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(568(a,1),1197(a,2,1,2))]. 1290 L((x * R(y,z,T(y,u))) / x,w,y) = (x * y) / x. [para(980(a,1),1197(a,2,1,2))]. 1291 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(569(a,1),1197(a,2,1,2))]. 1292 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(1202(a,1),96(a,1,1))]. 1293 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(663(a,1),1202(a,2,1,2))]. 1294 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(1202(a,1),258(a,1,1))]. 1295 R(x / (x / y),z,u) \ x = x / R(y,z,u). [para(70(a,1),1214(a,1,2,1)),flip(a)]. 1297 L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y. [para(67(a,1),1217(a,1,1,1,1)),flip(a)]. 1298 ((L(x,y,z) \ u) * x) * 1 = L(x,y,z) \ (u * x). [hyper(280,a,3,a,b,1229,a)]. 1299 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [hyper(280,a,869,a(flip),b,1238,a),flip(a)]. 1301 a(x,y,x) = ((a(z,u,z) * (w / v5)) * v5) / w. [hyper(280,a,858,a,b,1240,a)]. 1302 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [para(15(a,2),1240(a,1,1,1,2))]. 1303 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(280,a,946,a(flip),b,1248,a),flip(a)]. 1304 L(x * ((y \ 1) / x),y,x) = x / (x * y). [para(338(a,1),1248(a,2,2))]. 1305 ((x \ y) * L(x,z,u)) * 1 = x \ (y * L(x,z,u)). [hyper(280,a,3,a,b,1250,a)]. 1306 x / ((x \ y) * L(x,z,u)) = x * ((y * L(x,z,u)) \ x). [para(1250(a,1),305(a,1,2))]. 1307 (x \ (y * z)) * L(x,z,y) = x \ (y * (z * x)). [para(86(a,1),1250(a,1,2)),flip(a)]. 1308 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(5(a,1),1260(a,1,1,2,1)),flip(a)]. 1309 L(x * y,z,u) / y != w | y \ L(y * x,z,u) = w. [para(1260(a,1),287(a,1,1))]. 1310 ((x \ y) * x) * T(x,y) = y * (z / (z / T(x,z))). [hyper(280,a,782,a,b,1279,a)]. 1311 R(T(x / (x / y),z),u,w) \ x = x / R(T(y,z),u,w). [para(752(a,1),1295(a,1,1,1))]. 1313 R(x,y,x) * z = (x * z) * a(u,w,u). [para(1047(a,2),1299(a,1,1))]. 1314 a(x,y,x) = ((a(z,u,z) * w) * v5) / (w * v5). [para(6(a,1),1301(a,2,1,1,2))]. 1316 L(x * (y / x),z,u) != x * w | L(y,z,u) / x = w. [para(1303(a,2),38(a,1))]. 1317 L(x * (T(y \ 1,z) / x),y,z) = x * ((z \ (y \ z)) / x). [para(1064(a,1),1303(a,2,2,1))]. 1318 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(569(a,1),1308(a,2,1,2))]. 1319 a(x,y,x) = (((z * a(u,w,u)) * v5) * v6) / ((z * v5) * v6). [para(1238(a,2),1314(a,2,1,1))]. 1320 (x * y) * (y \ (x \ 1)) = a(x,y,y \ (x \ 1)). [hyper(200,a,75,a)]. 1321 a(x,y,y \ (x \ 1)) != z | (x * y) * (y \ (x \ 1)) = z. [para(75(a,1),200(a,1))]. 1322 (x * y) * a(x,z,z \ y) != u * w | ((x * z) * (z \ y)) / w = u. [para(75(a,1),292(a,1,2))]. 1323 (x \ L(x,y,z)) \ (((x \ 1) * u) * (u \ L(x,y,z))) = a(x \ 1,u,u \ L(x,y,z)). [para(1014(a,1),75(a,1,1))]. 1324 (x * ((x \ 1) * y)) \ y = a(x,x \ 1,y). [para(2(a,1),76(a,1,2))]. 1325 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(986(a,1),76(a,1,1,2,1))]. 1326 L(x,y \ 1,y) \ x = a(y,y \ 1,x). [para(241(a,1),1324(a,1,1))]. 1327 L(x,y,z / (y * x)) = z \ ((z / y) * (y * x)). [hyper(280,a,693,a(flip),b,91,a),flip(a)]. 1329 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(280,a,88,a(flip),b,341,a),flip(a)]. 1330 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(341(a,1),86(a,1,2))]. 1331 x * L(x \ (y * x),z,u) != w | L(y,z,u) * x = w. [para(17(a,1),348(a,1,2,1))]. 1332 x * L(x \ 1,y,z) != u | L(x \ 1,y,z) * x = u. [para(382(a,1),348(a,1,2,1))]. 1334 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(779(a,1),348(a,1,2,1))]. 1335 (x * (y \ x)) * L(x \ y,z,u) != w | L(y / x,z,u) * (x * (y \ x)) = w. [para(1204(a,1),348(a,1,2,1))]. 1338 T(x \ 1,y) / (x \ 1) != z | T(1 / x,y) * x = z. [para(1242(a,2),500(a,1))]. 1339 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(4(a,1),501(a,1,1,2,1))]. 1340 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(207(a,1),557(a,1,2,1))]. 1341 (x * y) * T(x \ (x / y),z) = x * (y * T(y \ 1,z)). [para(336(a,1),557(a,1,2,1))]. 1342 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(88(a,1),557(a,1,2,1))]. 1343 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(269(a,1),557(a,1,2,1))]. 1344 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(835(a,1),557(a,1,2,1))]. 1345 x * (y * L(x,T(x,y),y)) = y * (T(x,y) * x). [hyper(58,a,1015,a(flip),b,561,a)]. 1346 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(25(a,1),561(a,1,2))]. 1347 (x * y) \ (x * ((y \ z) * y)) = T((x * y) \ (x * z),y). [hyper(280,a,219,a,b,572,a)]. 1348 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(572(a,2),263(a,1,2))]. 1349 R(T(x / y,z),y,u) * (y * u) = (y * u) * T((y * u) \ (x * u),z). [para(607(a,1),495(a,1,1))]. 1350 R((x * y) / x,x,T(y,x)) = ((y * x) * y) / (y * x). [para(895(a,1),608(a,2,1))]. 1351 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(101(a,1),614(a,1,2))]. 1352 (1 / x) \ T(((1 / x) * x) \ y,z) = x * T(x \ ((1 / x) \ y),z). [hyper(111,a,626,a(flip),b,243,a)]. 1353 (x / y) * (y * T(y \ ((x / y) \ z),u)) = x * T(((x / y) * y) \ z,u). [para(626(a,1),549(a,1,2)),flip(a)]. 1354 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(626(a,1),263(a,1,2))]. 1356 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(645(a,2),549(a,1,2)),flip(a)]. 1357 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(58,a,623,a(flip),b,657,a)]. 1358 (x \ (y / (1 / x))) * x = T(y,x) / (1 / x). [hyper(29,a,1105,a(flip),b,1357,a),flip(a)]. 1359 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(4(a,1),1357(a,1,2,1)),flip(a)]. 1360 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(111,a,660,a(flip),b,241,a),flip(a)]. 1362 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(207(a,1),698(a,2,1)),flip(a)]. 1364 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(101(a,1),710(a,1,2,1)),flip(a)]. 1365 R(T(x,y * z),y,z) * (y * z) = T((x * y) * z,y * z). [para(710(a,1),898(a,2,1)),flip(a)]. 1366 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(306(a,1),711(a,1))]. 1369 T(((x / y) * y) \ ((x / y) * z),y) = x \ ((x / y) * ((y \ z) * y)). [hyper(58,a,572,a,b,826,a)]. 1370 L(T(T(x,y \ 1),z),y,y \ 1) = (y * T(x,z)) * (y \ 1). [hyper(58,a,104,a,b,924,a)]. 1371 L(T(x,y \ 1),y,y \ 1) = (y * x) * (y \ 1). [hyper(58,a,20,a,b,924,a)]. 1372 (x * (y \ (y / z))) \ (x * (z \ y)) = L(y,y \ (y / z),x). [para(375(a,1),939(a,1,2,2))]. 1373 x * K(y \ 1,y) != z | K(u \ 1,u) * x = z. [para(393(a,1),1019(a,1,2))]. 1374 T(T(x * y,z),x) != u | T(y * x,z) = u. [para(898(a,2),1099(a,1))]. 1376 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(111,a,138,a(flip),b,1115,a),flip(a)]. 1377 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(111,a,68,a(flip),b,1115,a),flip(a)]. 1378 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(20(a,2),1115(a,1,2,1))]. 1379 x \ ((y * z) * (z \ x)) != u | R(T(y,x),z,z \ x) = u. [para(1115(a,1),265(a,1,2)),flip(b)]. 1380 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(337(a,1),1125(a,1,2,1)),flip(a)]. 1381 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(1155(a,1),509(a,1,1,1,1))]. 1382 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(1220(a,1),679(a,1,2))]. 1383 L(x,y,z / (y * x)) = L(x,y,z / y). [hyper(280,a,89,a(flip),b,1327,a),flip(a)]. 1384 L(x,y,z / (y * x)) != u | ((z / (y * x)) * y) \ z = u. [para(1327(a,2),696(a,1))]. 1385 x / L(y,z,x / z) = (x / (z * y)) * z. [para(1383(a,1),307(a,1,2))]. 1386 (x * y) / L(z,y,x) = ((x * y) / (y * z)) * y. [para(6(a,1),1385(a,1,2,3))]. 1387 x * (y * L(x,T(x,y),y)) = y * (x * T(x,y)). [para(228(a,1),1345(a,2,2))]. 1388 T(x * y,x \ 1) = x * T(y,x \ 1). [hyper(226,a,1371,a(flip),b,671,a)]. 1389 L(T(T(x,y \ 1),z),y,y \ 1) = T((y * x) * (y \ 1),z). [para(1371(a,1),20(a,2,1))]. 1390 L(x * y,y,x) \ (x * y) = ((x * y) / (y * (x * y))) * y. [hyper(485,a,1386,a)]. 1391 (x * y) / L(T(z,y),y,x) = ((x * y) / (z * y)) * y. [para(101(a,1),1386(a,2,1,2))]. 1392 T(((x * y) / (y * z)) * y,L(z,y,x)) = L(z,y,x) \ (x * y). [para(1386(a,1),103(a,1,1))]. 1393 T(((x * y) / (y * z)) * y,L(z,y,x)) != u | L(z,y,x) \ (x * y) = u. [para(1386(a,1),352(a,1,1))]. 1394 (x * y) \ (((x * y) / z) * y) != u | (x * z) \ (x * y) = u. [para(107(a,1),265(a,1,2)),flip(b)]. 1396 (x \ (x / y)) * (x \ (x / z)) = x * (((x * z) * (y * x)) \ x). [para(983(a,1),313(a,1,1))]. 1397 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(563(a,1),15(a,2,1,1)),flip(a)]. 1399 K(x \ 1,x) * (y * z) = (y * K(u \ 1,u)) * z. [para(733(a,1),563(a,1,1)),flip(a)]. 1400 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(593,a,564,a)]. 1403 K(x \ 1,x) * (y * z) = y * (z * K(u \ 1,u)). [hyper(1373,a,599,a)]. 1407 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(1020,a,601,a)]. 1408 (L(x,y,z) \ u) * L(L(T(x,u),y,z),w,v5) = L(L(x,y,z),w,v5) * (L(x,y,z) \ u). [para(20(a,2),706(a,1,2,1))]. 1409 (x * (y \ z)) * L(T(L(y,y \ z,x),x * T(z,y)),u,w) = L((x * (y \ z)) \ (x * T(z,y)),u,w) * (x * (y \ z)). [para(939(a,1),707(a,1,2,1,1))]. 1410 L(x \ (y \ (z * x)),x,z) = (y * x) \ (z * x). [hyper(1186,a,726,a)]. 1411 (x * (T(y,z) \ (T(y,z) / y))) \ T(y,z) = T(y,z) \ ((y * T(y,z)) * (x \ T(y,z))). [para(228(a,1),727(a,2,2,1))]. 1412 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) = a(x,y,z * K(u \ 1,u)). [hyper(111,a,731,a,b,74,a)]. 1414 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [hyper(280,a,1147,a,b,765,a),flip(a)]. 1415 (x * y) \ ((x * z) * (z \ y)) != u | a(x,z,z \ y) = u. [para(5(a,1),823(a,1,1,2))]. 1419 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(101(a,1),823(a,1,2,1))]. 1420 (x * (y * L(z,y,x))) \ (x * (y * z)) != u | a(x,y,L(z,y,x)) = u. [para(86(a,1),823(a,1,2))]. 1421 ((x \ y) * (x * z)) \ (T(y,x) * z) != u | a(x \ y,x,z) = u. [para(898(a,2),823(a,1,2,1))]. 1422 (L(x \ 1,x,y) * (z * u)) \ (((y \ (y / x)) * z) * u) != w | a(y \ (y / x),z,u) = w. [para(354(a,2),823(a,1,1))]. 1423 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1098(a,1),1008(a,1,2))]. 1424 T(x,y) * (y / T(x,y)) = x * (y / x). [para(951(a,1),1423(a,1,2))]. 1425 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(1424(a,1),1098(a,1,2,1))]. 1426 (x * (y \ x)) / (y / x) = (y / x) \ (x * (x / y)). [para(468(a,1),1010(a,1,1))]. 1429 T(T(x,y),x \ (x / y)) != z | x = z. [para(1083(a,2),315(a,1))]. 1431 (K(x \ 1,x) * y) / z = (y / z) * K(u \ 1,u). [hyper(280,a,733,a(flip),b,1145,a),flip(a)]. 1433 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(245(a,1),1159(a,1,2))]. 1434 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(4(a,1),1222(a,1,1,2,1,2))]. 1435 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(1222(a,1),237(a,1,1)),flip(b)]. 1437 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(97(a,2),1223(a,1,1,1,2))]. 1438 (x * (y / (y / z))) / x = y / (y / ((x * z) / x)). [para(4(a,1),1225(a,1,1,2,2,2))]. 1439 (x \ y) * ((((x \ y) \ y) \ z) \ z) = ((x \ z) \ z) * (x \ y). [para(67(a,1),1228(a,1,1,1,1)),flip(a)]. 1440 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(1274(a,1),237(a,1,1)),flip(b)]. 1441 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(58,a,371,a,b,1275,a)]. 1442 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(67(a,1),1275(a,1,1,1,2)),flip(a)]. 1443 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(101(a,2),1275(a,2,2)),flip(a)]. 1444 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(210(a,2),1275(a,1,1,1,2))]. 1445 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(207(a,2),1276(a,2,2,2,1))]. 1446 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(97(a,1),1282(a,1,1,1))]. 1447 L(R((x * y) / x,z,T(y,u)),w,y) = (x * y) / x. [para(1202(a,2),1290(a,1,1))]. 1448 L(x,y,z) \ (u * x) != w | (L(x,y,z) \ u) * x = w. [para(1298(a,1),120(a,1)),flip(b)]. 1449 x \ (y * L(x,z,u)) != w | (x \ y) * L(x,z,u) = w. [para(1305(a,1),120(a,1)),flip(b)]. 1450 x \ T(x * y,y) = T(y,x \ 1). [hyper(1028,a,1360,a),flip(a)]. 1451 T(x / (y \ 1),z) * (y \ 1) = y \ T(y * x,z). [hyper(500,a,1360,a)]. 1452 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(259,a,1360,a),flip(a)]. 1453 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(58,a,494,a(flip),b,1360,a),flip(a)]. 1454 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(3(a,1),1360(a,2,2,1))]. 1455 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(5(a,1),1360(a,2,2,1))]. 1456 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(1360(a,1),259(a,1))]. 1457 (x * (y \ 1)) * T(((y * (x \ 1)) \ 1) \ z,u) = (y * (x \ 1)) \ T((y * (x \ 1)) * z,u). [para(298(a,1),1360(a,1,1))]. 1458 ((L(x,y,z) \ 1) * x) \ T(((L(x,y,z) \ 1) * x) * u,w) = (x \ L(x,y,z)) * T((((L(x,y,z) \ 1) * x) \ 1) \ u,w). [para(1090(a,1),1360(a,1,1)),flip(a)]. 1459 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [hyper(111,a,81,a(flip),b,1380,a)]. 1460 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(4(a,1),1459(a,1,2,1)),flip(a)]. 1461 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [para(70(a,1),1382(a,1,2,2,2)),flip(a)]. 1462 x \ (K(y \ 1,y) * z) = (x \ z) * K(u \ 1,u). [hyper(668,a,1403,a)]. 1463 x \ K(y \ 1,y) = (x \ 1) * K(z \ 1,z). [hyper(492,a,1403,a)]. 1464 K(x \ 1,x) * (y * z) = y * (K(u \ 1,u) * z). [hyper(280,a,731,a,b,1403,a),flip(a)]. 1465 ((x \ 1) \ 1) * K(y \ 1,y) = x. [hyper(453,a,1463,a),flip(a)]. 1466 x / K(y \ 1,y) = (x \ 1) \ 1. [hyper(112,a,396,a(flip),b,1463,a(flip))]. 1467 K(x \ 1,x) * ((y \ 1) \ 1) = y. [hyper(1373,a,1465,a)]. 1468 x * K(y \ 1,y) = 1 / (1 / x). [para(180(a,1),1465(a,1,1))]. 1469 K(x \ 1,x) * (((y \ 1) \ 1) * z) = y * z. [para(1465(a,1),1399(a,2,1))]. 1470 R(((x / y) \ 1) \ 1,K(z \ 1,z),y) = x / (K(z \ 1,z) * y). [para(1466(a,1),272(a,1,1))]. 1472 L(x,y,x) = x * K(z \ 1,z). [hyper(280,a,848,a,b,1468,a)]. 1473 x * K(1 / y,y) = 1 / (1 / x). [para(376(a,2),1468(a,1,2,1))]. 1474 x * K(y,y \ 1) = 1 / (1 / x). [para(378(a,1),1468(a,1,2,1))]. 1475 (x * y) * K(z \ 1,z) = x * (1 / (1 / y)). [para(1468(a,1),599(a,2,2))]. 1476 K(x \ 1,x) * (y * z) = (1 / (1 / y)) * z. [para(1468(a,1),1399(a,2,1))]. 1477 K(x \ 1,x) * (y * z) = y * (1 / (1 / z)). [para(1468(a,1),1403(a,2,2))]. 1478 (x \ 1) * K(y,y \ 1) = 1 / x. [para(67(a,1),1474(a,2,2))]. 1480 (x * (y \ 1)) * K(z,z \ 1) = x * (1 / y). [para(1478(a,1),600(a,2,2))]. 1481 x \ (K(y \ 1,y) * z) = ((x \ 1) \ 1) \ z. [hyper(668,a,1469,a)]. 1482 ((x \ 1) \ 1) \ (x * y) = y * K(z \ 1,z). [hyper(111,a,1469,a(flip),b,1403,a(flip))]. 1483 K(x \ 1,x) * T(y,(z \ 1) \ 1) = z * (T((z \ 1) \ 1,y) \ y). [para(984(a,1),1469(a,1,2))]. 1484 K(x \ 1,x) * (y * z) = (1 / (1 / z)) * T(y,z). [para(101(a,1),1476(a,1,2))]. 1485 K(x,x \ 1) * (y * (z \ 1)) = y * (1 / z). [hyper(738,a,1480,a)]. 1486 K(x \ 1,x) * K(y,y \ 1) = 1. [hyper(33,a,403,a(flip),b,1481,a),flip(a)]. 1487 x \ (K(y,y \ 1) * z) = ((x \ 1) \ 1) \ z. [para(378(a,1),1481(a,1,2,1,1))]. 1489 K(x \ 1,x) * K(y,1 / y) = 1. [para(376(a,2),1486(a,1,2,2))]. 1490 (x \ y) * K(z \ 1,z) = ((x \ 1) \ 1) \ y. [para(5(a,1),1482(a,1,2)),flip(a)]. 1492 K(x,x \ 1) * y = z * (1 / (1 / (z \ y))). [para(179(a,1),1485(a,1,2))]. 1493 (1 / x) \ (K(y,y \ 1) * z) = (x \ 1) \ z. [para(70(a,1),1487(a,2,1,1))]. 1494 K(x \ 1,x) * (y \ z) = ((y \ 1) \ 1) \ z. [hyper(1373,a,1490,a)]. 1495 (x \ y) * K(z,z \ 1) = ((x \ 1) \ 1) \ y. [para(378(a,1),1490(a,1,2,1))]. 1496 K(x \ 1,x) * ((y \ z) * u) = (((y \ 1) \ 1) \ z) * u. [para(1490(a,1),1399(a,2,1))]. 1497 x \ (K(y,y \ 1) * z) = 1 / (1 / (x \ z)). [hyper(631,a,1492,a)]. 1498 K(x,x \ 1) * y = (1 / z) * ((z \ 1) \ y). [hyper(126,a,1493,a),flip(a)]. 1499 ((x \ 1) \ 1) \ y != z | (x \ y) * K(u \ 1,u) = z. [para(1494(a,1),416(a,1))]. 1500 x \ (K(y,y \ 1) * z) = (x \ z) * K(u,u \ 1). [hyper(280,a,1487,a,b,1495,a)]. 1501 (1 / x) * ((x \ 1) \ y) = y * K(z,z \ 1). [hyper(419,a,1498,a),flip(a)]. 1502 K(x,x \ 1) * ((y \ 1) * z) = (1 / y) * z. [para(4(a,1),1498(a,2,2))]. 1503 (1 / x) \ (1 / y) = (x \ 1) \ (y \ 1). [hyper(111,a,1478,a(flip),b,1501,a)]. 1504 ((x \ 1) * y) * K(z,z \ 1) = (1 / x) * y. [para(4(a,1),1501(a,1,2)),flip(a)]. 1505 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(280,a,538,a(flip),b,1503,a),flip(a)]. 1507 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(58,a,565,a,b,1407,a)]. 1508 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(6(a,1),1414(a,1,1)),flip(a)]. 1509 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(977(a,1),1425(a,1,1))]. 1510 (K(x \ 1,x) * y) / z != u | K(w \ 1,w) * (y / z) = u. [para(1431(a,2),1019(a,1))]. 1512 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [hyper(126,a,1453,a),flip(a)]. 1513 T(x,y) * (x \ 1) = x \ T(x,y). [para(62(a,1),1453(a,1,2,1)),flip(a)]. 1514 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(226,a,888,a(flip),b,1513,a)]. 1515 T(x,y) \ (T(x,y) / x) = x \ 1. [hyper(111,a,443,a,b,1513,a)]. 1516 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(126,a,1460,a(flip)),flip(a)]. 1517 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(115,a,1461,a),flip(a)]. 1519 K(x \ 1,x) * (y * z) != y * u | K(w \ 1,w) * z = u. [para(1464(a,2),38(a,1))]. 1520 K(x \ 1,x) * (y * z) = z * (K(u \ 1,u) * T(y,z)). [para(101(a,1),1464(a,1,2))]. 1523 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(w \ 1,w). [para(1464(a,1),1462(a,1,2))]. 1525 T(x,1 / (1 / y)) = T(x,y). [hyper(226,a,1477,a(flip),b,1484,a(flip))]. 1526 T(x,1 / y) = T(x,y \ 1). [para(67(a,1),1525(a,1,2,2))]. 1527 T(x,L(y,z,y)) = T(x,y). [para(848(a,2),1525(a,1,2))]. 1528 T(x,y * K(z,z \ 1)) = T(x,y). [para(1474(a,2),1525(a,1,2))]. 1529 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(1527(a,1),101(a,1,2))]. 1530 T(x,T(y / z,y)) = T(x,z \ y). [para(850(a,1),1527(a,1,2))]. 1531 T(x / (1 / y),y \ 1) = (1 / y) \ x. [hyper(352,a,1526,a),flip(a)]. 1532 T(x,(y \ 1) \ 1) = T(x,y). [para(67(a,1),1526(a,1,2)),flip(a)]. 1533 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(1526(a,1),101(a,1,2))]. 1535 T(x,R(y,z,y)) = T(x,y). [para(905(a,2),1532(a,1,2))]. 1536 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(1535(a,1),101(a,1,2))]. 1537 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(910(a,1),1535(a,1,2))]. 1538 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(1480(a,1),1528(a,1,2))]. 1539 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(1495(a,1),1528(a,1,2))]. 1540 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(1504(a,1),1528(a,1,2))]. 1541 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(352,a,1537,a),flip(a)]. 1542 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(103(a,1),1529(a,1,2))]. 1544 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(60(a,2),1533(a,2,2))]. 1546 L(R(x,y,x),z,R(x,u,x)) = (R(x,u,x) * z) \ ((x * z) * R(x,u,x)). [para(1536(a,1),1030(a,2,2))]. 1548 x \ (K(y,y \ 1) * z) = K(u,u \ 1) * (x \ z). [hyper(738,a,1500,a(flip)),flip(a)]. 1550 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(175,a,1517,a)]. 1552 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(w,w \ 1) = u. [para(1548(a,2),419(a,1))]. 1553 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(67(a,1),1550(a,1,1,2,2,2)),flip(a)]. 1554 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(67(a,1),1553(a,2,1,2,2))]. 1555 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(175,a,1554,a)]. 1557 ((x * y) * (y \ 1)) * (x \ 1) = a(x,y,(x * y) \ 1). [hyper(58,a,514,a(flip),b,77,a)]. 1558 (x * (T(y,x) * ((y * x) \ z))) \ z = a(x,T(y,x),(y * x) \ z). [para(5(a,1),216(a,1,2))]. 1559 (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(780(a,1),216(a,1,1,2))]. 1560 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(624(a,1),274(a,1,1))]. 1561 L(a(x,y,(x * y) \ z) \ 1,a(x,y,(x * y) \ z),z) = z \ (x * (y * ((x * y) \ z))). [hyper(111,a,308,a(flip),b,343,a),flip(a)]. 1564 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(207(a,1),558(a,1,2,1))]. 1565 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(269(a,1),558(a,1,2,1))]. 1566 (x * y) * L(x \ (x / y),z,u) = x * (y * L(y \ 1,z,u)). [para(336(a,1),559(a,1,2,1))]. 1567 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(269(a,1),559(a,1,2,1))]. 1568 x * ((y \ x) * L((y \ x) \ 1,z,u)) = (x * (y \ x)) * L(x \ y,z,u). [para(355(a,1),559(a,1,2,1)),flip(a)]. 1569 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(835(a,1),559(a,1,2,1))]. 1570 x * ((x / y) * L((x / y) \ 1,z,u)) = (x * (x / y)) * L(y / x,z,u). [para(990(a,1),559(a,1,2,1)),flip(a)]. 1571 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(272(a,1),591(a,1,1,1)),flip(a)]. 1573 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(210(a,1),592(a,1,1,1))]. 1574 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(97(a,1),592(a,1,1,1))]. 1575 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(568(a,1),620(a,1,2,1)),flip(a)]. 1576 (L(x,y,z) \ 1) * L(x,u,w) = L(x,y,z) \ L(x,u,w). [para(853(a,1),620(a,1,2,1)),flip(a)]. 1577 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(567(a,1),622(a,1,2,1))]. 1578 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(825,a,658,a)]. 1579 L(R(x / (1 / y),1 / y,y),z,u) / y = (1 / y) * L((1 / y) \ x,z,u). [hyper(280,a,702,a(flip),b,664,a),flip(a)]. 1580 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [hyper(112,a,666,a(flip),b,245,a)]. 1581 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [hyper(31,a,1216,a,b,709,a),flip(a)]. 1582 T(x,(x * y) * z) = T(x,y * z). [hyper(37,a,710,a(flip),b,742,a),flip(a)]. 1583 T(x,(x \ y) * z) = T(x,y * z). [para(5(a,1),1582(a,1,2,1)),flip(a)]. 1584 ((x * y) * z) / T(x,y * z) = x \ ((x * y) * z). [para(1582(a,1),428(a,1,2))]. 1585 ((x * y) * z) * L(T(x,y * z),u,w) = L(x,u,w) * ((x * y) * z). [para(1582(a,1),224(a,1,2,1))]. 1587 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(766(a,2),845(a,1,2,1))]. 1589 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(504(a,1),1134(a,1,1))]. 1590 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(1134(a,1),548(a,1,2)),flip(a)]. 1591 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(1142(a,1),588(a,1,1)),flip(a)]. 1592 T(x * ((y * x) \ 1),z) \ T(y \ 1,z) = a(x,x \ 1,T(y \ 1,z)). [para(1152(a,1),1326(a,1,1))]. 1593 L((x * y) / x,y \ x,y) = x / (x / y). [hyper(280,a,1277,a(flip),b,1198,a),flip(a)]. 1594 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [hyper(226,a,1203,a,b,5,a),flip(a)]. 1597 L(x,y,z) * u != w | u * L(T(x,u),y,z) = w. [para(213(a,1),1286(a,1,1,1))]. 1598 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(103(a,1),1446(a,1,1)),flip(a)]. 1600 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(w \ 1,w) = u. [para(1481(a,2),1499(a,1))]. 1602 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(4(a,1),1598(a,1,1,1)),flip(a)]. 1604 ((x \ 1) * (y * x)) \ ((x \ 1) * y) = L(x \ 1,x,y). [hyper(58,a,855,a(flip),b,359,a),flip(a)]. 1605 ((x \ 1) * (T(y,x \ 1) * x)) \ (y * (x \ 1)) = L(x \ 1,x,T(y,x \ 1)). [para(101(a,1),1604(a,1,2))]. 1606 (x * 1) \ R(x,y \ 1,y) = a(x,y \ 1,y). [para(380(a,1),688(a,1,1,2))]. 1607 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [para(3(a,1),1606(a,1,1))]. 1609 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(29,a,225,a,b,714,a)]. 1610 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(111,a,1609,a(flip),b,721,a),flip(a)]. 1611 ((x * y) * z) / (y * x) = (x * y) * (z / (y * x)). [para(897(a,1),1151(a,1,2,2)),flip(a)]. 1614 (x * (y \ x)) \ (y \ x) = (x / y) \ (x \ (x / y)). [para(375(a,1),1258(a,1,2))]. 1615 (x / y) \ (x \ (x / y)) = (y \ x) \ (x \ (y \ x)). [hyper(483,a,1614,a),flip(a)]. 1616 T((x \ (x / y)) / (x / y),x \ (x / y)) = (y \ x) \ (x \ (y \ x)). [hyper(486,a,1615,a)]. 1617 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(642,a,1267,a)]. 1618 x / R(T(y \ x,z),u,w) = R(T(x / y,z),u,w) \ x. [para(67(a,1),1311(a,1,1,1,1,2)),flip(a)]. 1619 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(1118(a,1),1311(a,1,1)),flip(a)]. 1620 a(x,y,x) = ((R(z,u,z) * w) * v5) / ((z * w) * v5). [para(1047(a,2),1319(a,2,1,1,1))]. 1621 (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). [para(101(a,1),1340(a,1,1))]. 1622 (x * (y * z)) * T(((x * y) * L(z,y,x)) \ (x * y),u) = (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)). [para(86(a,1),1340(a,1,1))]. 1623 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(347,a,1344,a),flip(a)]. 1624 T(x,y) * (x * z) = x * (T(x,y) * z). [para(223(a,1),1623(a,1,2)),flip(a)]. 1625 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(668,a,1624,a)]. 1626 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(294,a,1624,a),flip(a)]. 1627 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(115,a,1624,a)]. 1629 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(111,a,62,a(flip),b,1624,a),flip(a)]. 1630 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(111,a,63,a(flip),b,1624,a(flip)),flip(a)]. 1631 (T(x,y) * x) \ (x * (T(x,y) * z)) = L(z,x,T(x,y)). [hyper(111,a,1624,a(flip),b,86,a)]. 1633 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(101(a,1),1624(a,1,2)),flip(a)]. 1634 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(103(a,1),1624(a,1,1)),flip(a)]. 1635 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(115,a,1629,a)]. 1636 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [para(1181(a,1),1625(a,1,2))]. 1638 T(x,y) * T(y,x) = x * y. [para(1005(a,1),1626(a,1,2)),flip(a)]. 1639 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(1638(a,1),9(a,2,2,1)),flip(a)]. 1641 T(x,y) * (x * z) != u | x * (T(x,y) * z) = u. [para(1627(a,1),239(a,1,2)),flip(b)]. 1642 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(115,a,1630,a)]. 1643 T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. [para(1642(a,1),239(a,1,2)),flip(b)]. 1644 T(T(x,y) * z,x) = T(x,y) * T(z,x). [hyper(226,a,865,a,b,1633,a)]. 1645 T(x,y) * (y * x) = x * (x * y). [para(1638(a,1),1633(a,1,2)),flip(a)]. 1646 T(x,y) / T(y,z) = T(x / T(y,z),y). [hyper(1111,a,1644,a)]. 1647 T(x,y) * (x \ z) != u | x \ (T(x,y) * z) = u. [para(4(a,1),1643(a,1,2,2))]. 1648 (x * T(x,y)) \ (x * (T(x,y) * z)) = L(z,x,T(x,y)). [para(228(a,1),1631(a,1,1))]. 1649 L(x,y,T(y,z)) != u | L(x,T(y,z),y) = u. [para(1648(a,1),562(a,1))]. 1650 T((x * y) \ (x * z),y) = (x * y) \ (x * T(z,y)). [para(898(a,2),1347(a,1,2,2)),flip(a)]. 1652 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1508(a,1),103(a,1,1))]. 1653 T(x * K(y \ 1,y),z) = K(u \ 1,u) * T(x,z). [hyper(226,a,1399,a(flip),b,1520,a(flip))]. 1657 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(3(a,1),1575(a,2,2,1))]. 1658 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(269(a,1),1575(a,1,2)),flip(a)]. 1659 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(58,a,704,a(flip),b,1657,a)]. 1660 (x \ L(x,y,z)) / (x \ 1) = L(x,y,z). [hyper(112,a,1657,a(flip),b,704,a(flip))]. 1662 (x * L(y,z,u)) \ (x * (y \ L(y,z,u))) = L(y \ 1,L(y,z,u),x). [para(1659(a,1),13(a,2,2,2)),flip(a)]. 1663 T(x * L(y,z,u),L(y \ 1,L(y,z,u),x)) = T(x * L(y,z,u),x * (y \ L(y,z,u))). [para(1659(a,1),437(a,1,2,2)),flip(a)]. 1664 L(x,y,z) * (x \ 1) != u | x \ L(x,y,z) = u. [para(1660(a,1),237(a,1,1)),flip(b)]. 1665 (x \ 1) * L((x \ 1) \ 1,y,z) != u | x \ L(x,y,z) = u. [para(704(a,2),1664(a,1))]. 1666 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(126,a,1577,a)]. 1667 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(3(a,1),1578(a,2,1))]. 1669 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(280,a,702,a(flip),b,1580,a),flip(a)]. 1670 x / R(T(y \ x,z),y,y \ z) = (z \ (x * (y \ z))) \ x. [para(1376(a,1),1618(a,2,1))]. 1671 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(103(a,1),1634(a,1,2,1))]. 1672 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(212(a,1),1634(a,1,2,1)),flip(a)]. 1673 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(668,a,1671,a)]. 1674 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(280,a,69,a(flip),b,1671,a),flip(a)]. 1675 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(111,a,62,a(flip),b,1671,a),flip(a)]. 1680 (1 / x) * K(y \ 1,y) = x \ 1. [para(394(a,2),1674(a,1,2))]. 1681 K(x \ 1,x) * (1 / y) = y \ 1. [hyper(1373,a,1680,a)]. 1683 K(x \ 1,x) * ((1 / y) * z) = (y \ 1) * z. [para(1680(a,1),1399(a,2,1))]. 1684 K(x \ 1,x) * (y * (1 / z)) = y * (z \ 1). [para(1680(a,1),1403(a,2,2))]. 1686 K(x \ 1,x) * y = (y \ 1) \ 1. [para(67(a,1),1681(a,1,2))]. 1687 K(x \ 1,x) * R(1 / y,z,u) = R(y \ 1,z,u). [hyper(280,a,739,a(flip),b,1686,a),flip(a)]. 1688 K(x,x \ 1) * y = (y \ 1) \ 1. [para(378(a,1),1686(a,1,1,1))]. 1689 (K(x \ 1,x) * y) \ z = y \ (K(u,u \ 1) * z). [para(1686(a,2),1487(a,2,1)),flip(a)]. 1690 x * K(y,y \ 1) = (x \ 1) \ 1. [hyper(419,a,1688,a)]. 1692 K(x,x \ 1) * (1 / (1 / y)) = y. [hyper(280,a,180,a(flip),b,1688,a),flip(a)]. 1693 K(x,x \ 1) * (y * z) = ((y \ 1) \ 1) * z. [para(1688(a,1),564(a,1,1)),flip(a)]. 1694 (K(x,x \ 1) * y) * K(z \ 1,z) = y. [para(1688(a,2),1465(a,1,1))]. 1696 (K(x,x \ 1) * y) \ z = (y \ z) * K(u \ 1,u). [para(1688(a,2),1490(a,2,1)),flip(a)]. 1697 T(x,K(y,y \ 1) * z) = T(x,z). [para(1688(a,2),1532(a,1,2))]. 1698 (x \ y) * K(z,z \ 1) = x \ ((y \ 1) \ 1). [para(1688(a,1),1500(a,1,2)),flip(a)]. 1699 T(x,x \ 1) = x * K(y,y \ 1). [hyper(280,a,102,a,b,1690,a)]. 1700 x * K(y,1 / y) = (x \ 1) \ 1. [para(376(a,2),1690(a,1,2,2))]. 1701 (x * y) * K(z,z \ 1) = x * ((y \ 1) \ 1). [para(1690(a,1),600(a,2,2))]. 1702 K(x \ 1,x) * (y * K(z,z \ 1)) = y. [para(1690(a,2),1467(a,1,2))]. 1704 K(x \ 1,x) \ y = K(z,z \ 1) * y. [hyper(111,a,1692,a(flip),b,1477,a)]. 1705 K(x,x \ 1) * (y * K(z \ 1,z)) = y. [hyper(30,a,1475,a,b,1692,a(flip))]. 1709 (x * y) * K(z,z \ 1) = x * T(y,y \ 1). [para(1699(a,2),600(a,2,2))]. 1710 L(x,y,z) * K(u,1 / u) = L((x \ 1) \ 1,y,z). [hyper(280,a,1297,a,b,1700,a),flip(a)]. 1715 K(x,x \ 1) * (((y \ 1) \ 1) \ z) = y \ z. [hyper(30,a,1490,a,b,1694,a),flip(a)]. 1717 ((1 / x) * y) * K(z \ 1,z) = (x \ 1) * y. [para(1502(a,1),1694(a,1,1))]. 1721 (K(x \ 1,x) * y) * K(z,z \ 1) = y. [hyper(58,a,600,a,b,1702,a)]. 1724 (x \ 1) \ (K(y \ 1,y) * z) = (1 / x) \ z. [hyper(111,a,1721,a(flip),b,1501,a),flip(a)]. 1726 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1675(a,1),38(a,1))]. 1727 K(x \ 1,x) * y = (z \ 1) * ((1 / z) \ y). [hyper(294,a,1683,a)]. 1728 (1 / x) * (K(y \ 1,y) * z) = (x \ 1) * z. [hyper(58,a,1464,a(flip),b,1683,a)]. 1729 (1 / x) * (y * K(z \ 1,z)) = (x \ 1) * y. [hyper(58,a,1403,a(flip),b,1683,a)]. 1731 K(x \ 1,x) * R(1 / y,z,u) = (y \ 1) * (y * R(y \ 1,z,u)). [para(1667(a,1),1683(a,1,2))]. 1733 K(x,x \ 1) * (y * z) = (y * K(u,u \ 1)) * z. [para(1690(a,2),1693(a,2,1))]. 1734 K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1). [hyper(738,a,1701,a)]. 1735 x * K(y,y \ 1) = z * (((z \ x) \ 1) \ 1). [hyper(628,a,1701,a)]. 1741 K(x,x \ 1) * (y * z) = y * T(z,z \ 1). [hyper(738,a,1709,a)]. 1742 K(x \ 1,x) * (y * T(z,z \ 1)) = y * z. [hyper(30,a,1721,a,b,1709,a)]. 1743 ((x \ 1) \ y) * K(z \ 1,z) = (1 / x) \ y. [hyper(58,a,1462,a(flip),b,1724,a)]. 1744 K(x \ 1,x) * ((y \ 1) \ z) = (1 / y) \ z. [hyper(111,a,5,a(flip),b,1728,a),flip(a)]. 1746 (K(x,x \ 1) * y) * z = y * ((z \ 1) \ 1). [hyper(58,a,564,a,b,1734,a)]. 1749 K(x,x \ 1) * (y * z) = y * (K(u,u \ 1) * z). [para(1688(a,2),1734(a,2,2))]. 1750 x * (((x \ (y \ z)) \ 1) \ 1) = ((y \ 1) \ 1) \ z. [hyper(58,a,1495,a(flip),b,1735,a),flip(a)]. 1754 ((x \ 1) \ 1) \ ((y \ 1) \ z) = x \ ((1 / y) \ z). [para(1744(a,1),1481(a,1,2)),flip(a)]. 1756 ((x \ 1) * y) * ((z \ 1) \ 1) = ((1 / x) * y) * z. [para(1502(a,1),1746(a,1,1)),flip(a)]. 1758 (x * K(y \ 1,y)) * ((z \ 1) \ 1) = x * z. [para(1705(a,1),1746(a,1,1)),flip(a)]. 1759 (((x \ 1) \ 1) \ y) * ((z \ 1) \ 1) = (x \ y) * z. [para(1715(a,1),1746(a,1,1)),flip(a)]. 1761 (x * K(y \ 1,y)) * T((z \ 1) \ 1,u) = x * T(z,u). [para(789(a,2),1758(a,1,2))]. 1763 (x * y) \ (K(z,z \ 1) * u) = (x * (1 / (1 / y))) \ u. [para(1477(a,1),1689(a,1,1)),flip(a)]. 1764 K(x,1 / x) * (y * L(z,u,w)) = y * L((z \ 1) \ 1,u,w). [para(1710(a,1),1407(a,2,2))]. 1766 K(x,x \ 1) / y = (1 / y) * K(z,z \ 1). [hyper(112,a,69,a(flip),b,1733,a(flip))]. 1769 (x * ((K(y,y \ 1) * z) * u)) \ ((K(w,w \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(1749(a,2),9(a,2,2,1)),flip(a)]. 1771 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(w \ 1,w). [para(1749(a,1),1696(a,1,1))]. 1772 (((x / y) \ 1) \ 1) \ x = z * (((z \ y) \ 1) \ 1). [para(70(a,1),1750(a,1,2,1,1,2)),flip(a)]. 1773 T((x \ 1) \ 1,y) \ ((z \ 1) \ u) = T(x,y) \ ((1 / z) \ u). [para(789(a,2),1754(a,1,1))]. 1774 ((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z. [hyper(111,a,5,a(flip),b,1756,a),flip(a)]. 1777 x / (y * (((y \ z) \ 1) \ 1)) = ((x / z) \ 1) \ 1. [hyper(183,a,1772,a)]. 1778 ((L(x,y,y \ 1) \ z) \ 1) \ 1 = ((y \ 1) * (y * x)) \ z. [para(624(a,1),1774(a,1,1,1,1))]. 1779 x / (y * ((z \ 1) \ 1)) = ((x / (y * z)) \ 1) \ 1. [para(4(a,1),1777(a,1,2,2,1,1))]. 1784 L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). [para(700(a,1),1666(a,1,2)),flip(a)]. 1785 (x \ 1) \ L((x \ 1) * y,z,u) = x * L(x \ y,z,u). [hyper(1309,a,1669,a)]. 1787 (x * (1 / (1 / y))) \ (z * u) = (x * y) \ (((z \ 1) \ 1) * u). [para(1693(a,1),1763(a,1,2)),flip(a)]. 1788 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1674(a,1),1784(a,1,1)),flip(a)]. 1789 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [hyper(111,a,337,a(flip),b,1788,a),flip(a)]. 1790 x * L(x \ ((x \ 1) \ y),z,u) = (x \ 1) \ L(y,z,u). [para(5(a,1),1785(a,1,2,1)),flip(a)]. 1792 L(x \ ((x \ 1) \ y),z,u) = x \ ((x \ 1) \ L(y,z,u)). [hyper(115,a,1790,a),flip(a)]. 1794 L(x \ 1,y \ 1,y) != z | y * ((x * y) \ 1) = z. [para(524(a,1),200(a,1))]. 1795 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(29,a,1131,a,b,646,a(flip)),flip(a)]. 1797 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(111,a,1795,a,b,xx)]. 1798 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(357(a,1),1795(a,1,1))]. 1799 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1797(a,1),239(a,1,2)),flip(b)]. 1800 x \ (y * K(z,z \ 1)) = 1 / (1 / (x \ y)). [hyper(736,a,1492,a)]. 1802 (x / y) * K(z,z \ 1) = x / (1 / (1 / y)). [hyper(33,a,1517,a(flip),b,1800,a),flip(a)]. 1803 1 / (1 / (x \ (y / z))) = x \ (y / (1 / (1 / z))). [para(1802(a,1),1800(a,1,2)),flip(a)]. 1805 x * (1 / (1 / (x \ (y / z)))) = y / (1 / (1 / z)). [hyper(126,a,1803,a(flip))]. 1808 (x / (1 / (1 / y))) / z = 1 / (1 / ((x / y) / z)). [hyper(112,a,1805,a(flip),b,1226,a)]. 1810 1 / (1 / ((x / (y \ 1)) / z)) = (x / (1 / y)) / z. [para(67(a,1),1808(a,1,1,2,2)),flip(a)]. 1811 1 / ((x / (y \ 1)) / z) = ((x / (1 / y)) / z) \ 1. [hyper(175,a,1810,a),flip(a)]. 1812 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(58,a,558,a(flip),b,842,a)]. 1813 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(225(a,1),1812(a,1,2)),flip(a)]. 1814 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(668,a,1813,a)]. 1815 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(638,a,1813,a)]. 1816 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(492,a,1813,a),flip(a)]. 1817 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(111,a,62,a(flip),b,1813,a),flip(a)]. 1818 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(226,a,1813,a(flip),b,282,a),flip(a)]. 1819 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(101(a,1),1813(a,1,2)),flip(a)]. 1821 R(x,y,z) * (x \ 1) = R(x,y,z) / x. [hyper(280,a,444,a,b,1816,a),flip(a)]. 1823 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(1816(a,1),1201(a,1,1,2)),flip(a)]. 1824 R(x,y,x) \ 1 = x \ (z \ L(z,u,z)). [hyper(111,a,1273,a(flip),b,1817,a),flip(a)]. 1825 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1817(a,1),243(a,1,2)),flip(a)]. 1826 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1817(a,1),1453(a,1,2,1,2))]. 1827 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(96(a,1),1814(a,1,2)),flip(a)]. 1828 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(123,a,1827,a),flip(a)]. 1829 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(58,a,591,a(flip),b,1042,a),flip(a)]. 1830 (x * (y * T(y,x))) / y = L(y,y,x) * x. [hyper(635,a,1829,a)]. 1831 x * ((y * (x * T(x,y))) \ x) = (L(x,x,y) * y) \ x. [para(1830(a,1),468(a,1,1)),flip(a)]. 1832 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(58,a,592,a(flip),b,1043,a),flip(a)]. 1833 L(x,y,x \ 1) \ ((x \ 1) * y) = L(x \ 1,x,y) * ((x \ 1) * y). [para(1604(a,1),1069(a,1,1)),flip(a)]. 1836 x * (R(T(y,z),x \ 1,x) / x) = T(x * (y * (1 / x)),z). [para(22(a,2),1114(a,1,2,1))]. 1837 T(x,((x \ y) \ y) \ z) * (x \ y) = (x \ y) * ((((x \ y) \ y) \ z) \ z). [hyper(1119,a,278,a)]. 1839 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(569(a,1),1126(a,1,2,1)),flip(a)]. 1840 (x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u). [para(340(a,1),1132(a,1,2,1)),flip(a)]. 1841 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(570(a,1),1132(a,1,2,1)),flip(a)]. 1842 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(111,a,1135,a(flip),b,241,a),flip(a)]. 1843 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(1135(a,1),548(a,1,2)),flip(a)]. 1844 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(1199(a,2),41(a,1))]. 1845 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(1287(a,1),86(a,1,2))]. 1846 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(1287(a,1),263(a,1,2))]. 1847 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(1288(a,1),549(a,1,2)),flip(a)]. 1848 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(111,a,1289,a(flip),b,241,a),flip(a)]. 1849 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(210(a,1),1292(a,1,1,1,2))]. 1850 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [para(1293(a,1),586(a,1,1)),flip(a)]. 1851 L(T(x * ((y \ 1) / x),z),y,z) = x * ((z \ (y \ z)) / x). [para(1105(a,2),1317(a,1,1))]. 1852 T((x * y) * z,y * z) = (T(x,y * z) * y) * z. [hyper(258,a,1365,a),flip(a)]. 1853 T((x * y) * (y \ z),y * (y \ z)) = (T(x,z) * y) * (y \ z). [para(5(a,1),1852(a,2,1,1,2))]. 1854 T((x * x) * y,x * y) = (T(x,y) * x) * y. [para(435(a,1),1852(a,2,1,1))]. 1855 T((x * x) * y,x * y) = (x * T(x,y)) * y. [para(228(a,1),1854(a,2,1))]. 1856 (x * (y \ (y / x))) \ y = L(y,y \ (y / x),x). [para(5(a,1),1372(a,1,2))]. 1857 L(x,x \ (x / y),x * y) = x \ ((x * y) * (y \ x)). [para(312(a,1),1372(a,1,1)),flip(a)]. 1858 x \ ((x * y) * (y \ x)) = L(x,x \ (x / y),y). [hyper(58,a,727,a(flip),b,1856,a)]. 1859 R(T(x,x),y,y \ x) = L(x,x \ (x / y),y). [hyper(1379,a,1858,a)]. 1860 L(x,x \ (x / y),y) = R(x,y,y \ x). [para(100(a,1),1859(a,1,1)),flip(a)]. 1861 L(x,x \ (x / y),x * y) = L(x,x \ (x / y),y). [hyper(280,a,1858,a(flip),b,1857,a),flip(a)]. 1862 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [hyper(58,a,1370,a(flip),b,1389,a),flip(a)]. 1863 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(5(a,1),1862(a,1,1,1)),flip(a)]. 1864 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(100(a,1),1862(a,2,1,2))]. 1865 K((x * y) * (x \ 1),y) = 1. [hyper(50,a,1864,a)]. 1866 K(((1 / x) * y) * x,y) = 1. [para(70(a,1),1865(a,1,1,2))]. 1867 K(x * y,(1 / y) \ x) = 1. [para(5(a,1),1866(a,1,1,1))]. 1868 (x \ 1) \ T((x \ 1) * y,z) = x * T(x \ y,z). [hyper(30,a,1048,a,b,1863,a)]. 1869 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [hyper(280,a,101,a(flip),b,1868,a),flip(a)]. 1870 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [hyper(126,a,1869,a)]. 1871 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(4(a,1),1870(a,1,2,1)),flip(a)]. 1872 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(81(a,1),1870(a,1,2,1)),flip(a)]. 1873 L(x * y,y,x) \ (x * y) = ((x * y) \ ((x * y) / y)) * y. [para(983(a,1),1390(a,2,1))]. 1875 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(7(a,1),1456(a,1,2,1))]. 1876 ((x \ 1) \ 1) * y != x * z | K(u \ 1,u) * z = y. [para(1469(a,1),1519(a,1)),flip(a)]. 1877 x \ (y * (K(z \ 1,z) * u)) != w | (x \ (y * u)) * K(v5 \ 1,v5) = w. [para(1464(a,1),1600(a,1,2))]. 1886 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [para(665(a,1),1836(a,1,2)),flip(a)]. 1887 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(67(a,1),1886(a,2,2,2))]. 1888 L(T((x \ 1) \ L((y \ 1) / x,x,x \ 1),z),y,z) = x * ((z \ (y \ z)) / x). [para(677(a,2),1851(a,1,1,1))]. 1889 L(x * y,y,x) \ (x * y) = ((x * y) \ x) * y. [para(6(a,1),1873(a,2,1,2))]. 1890 L(x * y,y,x) \ (x * y) = (x \ (x / y)) * y. [para(304(a,1),1889(a,2,1))]. 1891 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(86(a,1),589(a,1,1))]. 1892 ((x * y) * ((z \ 1) \ 1)) / ((y * z) * K(u,u \ 1)) = R(R(x,y,z),y * z,K(u,u \ 1)). [para(1701(a,1),589(a,1,1))]. 1893 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(111,a,595,a(flip),b,96,a)]. 1895 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(444(a,1),610(a,1,1))]. 1896 (x * ((y \ x) * x)) / (x * (y \ x)) = (x * (y \ x)) * (y / x). [para(857(a,1),993(a,1,1))]. 1897 (x * (y \ x)) * ((x * (y \ x)) / x) = (y / x) \ (x * (x / y)). [hyper(280,a,1426,a(flip),b,1009,a),flip(a)]. 1898 ((x / y) * z) / (y \ x) = (x / y) * (z / (y \ x)). [para(786(a,1),1150(a,1,2,2)),flip(a)]. 1902 (x * y) * L(L(x,z,u),w,v5) != v6 | x * (y * L(L(x,z,u),w,v5)) = v6. [para(855(a,1),1176(a,1,2,1))]. 1903 x * (y * T(y \ (x \ z),z)) = T(z,x * y). [hyper(1028,a,1343,a),flip(a)]. 1904 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(280,a,1443,a(flip),b,1343,a),flip(a)]. 1906 x * ((y * (x \ z)) * T((x \ z) \ (y \ (x \ z)),z)) = T(z,x * (y * (x \ z))). [para(479(a,1),1903(a,1,2,2,1))]. 1907 T(x,x \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). [hyper(280,a,279,a,b,1439,a)]. 1909 (x \ (y * ((z \ 1) \ 1))) * K(u \ 1,u) = x \ (y * z). [para(1467(a,1),1523(a,1,2,2)),flip(a)]. 1910 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(101(a,1),1564(a,1,1))]. 1911 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(348,a,1569,a),flip(a)]. 1912 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [hyper(58,a,699,a(flip),b,1911,a),flip(a)]. 1913 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(111,a,699,a(flip),b,1911,a(flip))]. 1914 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(668,a,1912,a)]. 1915 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(294,a,1912,a),flip(a)]. 1916 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(111,a,140,a(flip),b,1912,a)]. 1917 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(111,a,62,a(flip),b,1912,a),flip(a)]. 1918 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(111,a,63,a(flip),b,1912,a(flip)),flip(a)]. 1920 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1912(a,1),219(a,1,2))]. 1921 (x * L(x,y,z)) \ (x * (L(x,y,z) * u)) = L(u,x,L(x,y,z)). [para(1912(a,1),497(a,1,2))]. 1922 (L(x,y,z) \ 1) * x = x * (L(x,y,z) \ 1). [hyper(280,a,875,a,b,1917,a)]. 1923 x * (L(x,y \ 1,y) \ 1) = a(y,y \ 1,x). [hyper(280,a,1326,a(flip),b,1917,a),flip(a)]. 1924 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(115,a,1917,a)]. 1926 L(x \ y,x,x \ 1) \ (x \ y) = (x \ y) * (((x \ 1) * y) \ 1). [para(680(a,1),1917(a,1,2,1)),flip(a)]. 1927 x * ((L(x,y,z) \ 1) * L(x,u,w)) = (L(x,y,z) \ x) * L(x,u,w). [para(1917(a,1),1015(a,1,1)),flip(a)]. 1928 (x \ 1) * L((x \ 1) \ (L(x,y,z) \ 1),u,w) = x \ L(L(x,y,z) \ x,u,w). [para(1917(a,1),1575(a,2,2,1))]. 1929 x / (x * L(x,y,z)) = L(x,y,z) \ 1. [hyper(58,a,1249,a,b,1924,a)]. 1930 x * (L(x,y,z) \ 1) != u | L(x,y,z) \ x = u. [para(1924(a,1),239(a,1,2)),flip(b)]. 1931 (L(x,y,z) \ 1) \ x = x * L(x,y,z). [hyper(175,a,1929,a)]. 1932 L(x,y,z) * (x * u) != w | x * (L(x,y,z) * u) = w. [para(1913(a,1),239(a,1,2)),flip(b)]. 1934 L(x \ 1,x,y) * ((x \ 1) \ y) = (x \ 1) \ (x \ y). [para(1063(a,1),1914(a,1,2)),flip(a)]. 1935 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [para(1914(a,2),1234(a,1,1))]. 1936 L(x,y,z) * (x \ (u * x)) = T(L(x,y,z) * u,x). [hyper(226,a,877,a,b,1915,a),flip(a)]. 1937 L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w. [para(1915(a,1),38(a,1))]. 1938 x \ (L(x,y,z) * u) != w | L(x,y,z) * (x \ u) = w. [para(1915(a,1),265(a,1,2)),flip(b)]. 1939 L(x * (y / x),z,u) \ ((x * (y / x)) * x) = x * ((L(x * (y / x),z,u) * (x / y)) \ x). [hyper(280,a,992,a(flip),b,1916,a),flip(a)]. 1940 (x / y) * (L(x / y,z,u) \ y) = L(x / y,z,u) \ x. [para(7(a,1),1916(a,1,2)),flip(a)]. 1942 L(x \ (y * (L(y,z,u) \ x)),x,y) = (L(y,z,u) * x) \ (y * x). [para(1916(a,1),1410(a,1,1,2))]. 1943 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(115,a,1918,a)]. 1944 L(x,y,z) \ (L(x,u,w) * (x \ v5)) = x \ (L(x,y,z) \ (L(x,u,w) * v5)). [hyper(111,a,1914,a(flip),b,1918,a)]. 1945 L(x \ 1,x,L(x,y,z) \ u) \ (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u. [hyper(111,a,1943,a,b,1063,a)]. 1946 T(L(x,y,z) * u,x) = L(x,y,z) * T(u,x). [hyper(954,a,1935,a)]. 1947 L(x,y,z) * T(u,x) != w | T(L(x,y,z) * u,x) = w. [para(1935(a,1),954(a,1))]. 1948 T(L(x,y,z) * (u / x),x) = L(x,y,z) * (x \ u). [para(103(a,1),1946(a,2,2))]. 1949 T(L(L(x,x \ 1,y),z,u) * (y * (x \ 1)),L(x,x \ 1,y)) = L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y). [para(389(a,1),1948(a,1,1,2))]. 1950 x \ (L(y / x,z,u) * ((y / x) \ x)) = (L(y / x,z,u) \ y) \ x. [para(1940(a,1),370(a,1,1)),flip(a)]. 1951 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(1213,a,1573,a)]. 1952 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(3(a,1),1590(a,2,2,1,2))]. 1953 x \ (y * T(y \ (x * z),u)) != w | (x \ y) * T((x \ y) \ z,u) = w. [para(1590(a,1),265(a,1,2)),flip(b)]. 1954 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1795(a,2),1952(a,1,2)),flip(a)]. 1957 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(495(a,1),1591(a,1,1))]. 1958 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(280,a,1914,a(flip),b,1652,a),flip(a)]. 1959 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(4(a,1),1672(a,1,1)),flip(a)]. 1960 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(492,a,1959,a),flip(a)]. 1963 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(111,a,140,a(flip),b,1959,a)]. 1964 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(226,a,7,a(flip),b,1959,a(flip)),flip(a)]. 1965 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(123,a,1964,a),flip(a)]. 1966 R((x * y) / x,x,T(y,x)) = T(y * x,y) / x. [hyper(58,a,1350,a,b,1965,a)]. 1967 R((x * y) / x,x,T(y,x)) = x \ T(x * y,y). [hyper(280,a,1050,a(flip),b,1966,a),flip(a)]. 1968 L(x \ T(x * y,y),z,y) = (x * y) / x. [para(1967(a,1),1447(a,1,1))]. 1969 (x * y) \ ((y * x) * x) = (y * x) / y. [hyper(58,a,574,a(flip),b,1968,a)]. 1971 (x * y) * ((y * x) / y) = (y * x) * x. [hyper(126,a,1969,a)]. 1972 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(628,a,1971,a)]. 1973 (x * y) \ ((y * x) * x) != z | (y * x) / y = z. [para(1971(a,1),265(a,1,2)),flip(b)]. 1975 ((x * y) / x) \ (y \ (x * y)) = y \ x. [hyper(111,a,290,a(flip),b,1963,a(flip)),flip(a)]. 1976 ((x * y) / x) \ T(x,y) = y \ x. [para(17(a,2),1975(a,1,2))]. 1977 T(x,y) / (y \ x) = (x * y) / x. [hyper(183,a,1976,a)]. 1978 T(x,y) * ((((x * y) / x) * z) \ T(x,y)) = (T(x,y) / z) * (y \ x). [para(1976(a,1),28(a,1,2)),flip(a)]. 1979 L(x \ (y \ z),x,(z * y) / z) = (((z * y) / z) * x) \ T(z,y). [para(1976(a,1),269(a,1,1,2))]. 1980 T((x \ y) * x,x) = (x \ y) * ((y * x) / y). [para(1977(a,1),1112(a,1,2)),flip(a)]. 1982 (x / y) \ (x * L(x \ (x / y),z,u)) = y * L(y \ 1,z,u). [hyper(115,a,1840,a)]. 1983 (x / y) \ (x * L(x \ (x / y),z,u)) != w | y * L(y \ 1,z,u) = w. [para(1840(a,1),265(a,1,2)),flip(b)]. 1984 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(60(a,1),1842(a,2,2,1))]. 1985 (x \ ((y * (x * z)) / y)) / (x \ 1) = (y * (z / (x \ 1))) / y. [hyper(112,a,1848,a(flip),b,1223,a)]. 1986 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(2(a,1),1850(a,2,1,1,2))]. 1987 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(1435,a,1986,a)]. 1988 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(70(a,1),1987(a,1,2,1,2))]. 1989 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(280,a,510,a(flip),b,1988,a),flip(a)]. 1990 (1 / x) \ (x \ ((y * x) / y)) = (y * x) / y. [hyper(111,a,510,a(flip),b,1988,a)]. 1991 T(1 / x,(y * x) / y) = x \ 1. [hyper(226,a,1989,a,b,1960,a)]. 1995 T((x * y) * (y \ z),z) = (T(x,z) * y) * (y \ z). [para(5(a,1),1853(a,1,2))]. 1996 (T(x,y) * y) \ T((x * z) * (z \ y),y) = a(T(x,y),z,z \ y). [para(1995(a,2),75(a,1,2))]. 1997 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(67(a,1),1887(a,1,1,2,2))]. 1999 (x * (y \ x)) * (x * ((y \ x) / x)) = (y / x) \ (x * (x / y)). [para(947(a,1),1897(a,1,2))]. 2000 L(x,L(y,z,u),y) = L(x,y,L(y,z,u)). [hyper(562,a,1921,a)]. 2001 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(712(a,1),1951(a,2,1))]. 2002 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(280,a,495,a(flip),b,1957,a),flip(a)]. 2004 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(17(a,2),1958(a,2,2))]. 2005 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(1587(a,1),2004(a,1,1))]. 2007 (x / y) \ (x * L(L(y \ 1,y,x),z,u)) = y * L(y \ 1,z,u). [para(336(a,2),1982(a,1,2,2,1))]. 2008 (x \ y) \ (y * L(y \ (y / T(x,y)),z,u)) = T(x,y) * L(T(x,y) \ 1,z,u). [para(428(a,1),1982(a,1,1))]. 2009 (x * (y \ x)) * (x * (x \ (x / y))) = (y / x) \ (x * (x / y)). [para(935(a,1),1999(a,1,2,2))]. 2010 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(112,a,101,a(flip),b,2002,a),flip(a)]. 2011 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(2(a,1),2002(a,2,2,1,2))]. 2012 ((x / y) * T((x / y) \ x,z)) * y = x * T(y,z). [para(4(a,1),2002(a,2,2,1))]. 2013 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(112,a,2,a(flip),b,2012,a),flip(a)]. 2014 ((x / y) * T(y,z)) * y = x * T(y,z). [para(70(a,1),2012(a,1,1,2,1))]. 2015 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [hyper(226,a,2014,a,b,5,a)]. 2016 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(123,a,2014,a)]. 2017 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [hyper(115,a,2014,a)]. 2018 (x / y) * T(y,x) = (y * x) / y. [hyper(112,a,101,a(flip),b,2014,a),flip(a)]. 2020 (1 / x) * T(x,y) = T(x,y) / x. [hyper(112,a,2,a(flip),b,2014,a),flip(a)]. 2021 (x * T(y,z)) * y = (x * y) * T(y,z). [para(6(a,1),2014(a,1,1,1))]. 2022 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(173(a,1),2014(a,1,1,1))]. 2023 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(338(a,1),2018(a,1,1)),flip(a)]. 2024 (1 / x) * T(x,y) = x \ T(x,y). [hyper(280,a,443,a(flip),b,2020,a),flip(a)]. 2026 T(1 / x,T(x,y)) = x \ 1. [hyper(226,a,2024,a,b,1513,a)]. 2028 T(1 / x,(y \ x) * y) = x \ 1. [para(898(a,1),2026(a,1,2))]. 2029 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2026(a,1),345(a,2,1))]. 2030 ((x \ y) * x) * (y \ 1) != z | (1 / y) * ((x \ y) * x) = z. [para(2028(a,1),259(a,1,2))]. 2032 (x / (y / z)) * T(y / z,z) = (x * (z \ y)) / (y / z). [para(103(a,1),2016(a,1,1,2)),flip(a)]. 2033 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [para(6(a,1),2017(a,1,1,1))]. 2034 x \ (y * T(z,u)) != z | (y / z) * T(z,u) = x. [para(2017(a,1),43(a,1)),flip(a)]. 2035 (1 / T(x,y)) * x = x / T(x,y). [hyper(493,a,2021,a),flip(a)]. 2037 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(280,a,447,a(flip),b,2035,a),flip(a)]. 2039 x \ ((y * z) * T(z,u)) != z | y * T(z,u) = x. [para(2033(a,1),43(a,1)),flip(a)]. 2040 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(1799,a,2013,a)]. 2042 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [hyper(112,a,2013,a(flip),b,495,a)]. 2043 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(124,a,2040,a(flip)),flip(a)]. 2044 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(123,a,2011,a),flip(a)]. 2045 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(223(a,1),2022(a,1,1))]. 2047 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [para(103(a,1),2032(a,1,2)),flip(a)]. 2048 (x / ((y * z) / y)) * (y \ (y * z)) = (x * z) / ((y * z) / y). [para(4(a,1),2047(a,1,1,2)),flip(a)]. 2049 (x / y) \ (y * (y / x)) = (y * (x \ y)) * (y / x). [hyper(294,a,2009,a),flip(a)]. 2051 (x / y) \ (y * (y / x)) = (y / x) * (y * (y / x)). [hyper(280,a,902,a(flip),b,2049,a),flip(a)]. 2052 (x * (y \ x)) / (y / x) = (x / y) * (x * (x / y)). [hyper(58,a,1426,a,b,2051,a)]. 2053 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [para(4(a,1),2048(a,1,2)),flip(a)]. 2054 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(698(a,1),217(a,1,1))]. 2055 ((x \ y) * (x * T(z,(x \ y) * x))) \ (T(y,x) * T(z,(x \ y) * x)) = (L(z,x,x \ y) * ((x \ y) * x)) \ (z * ((x \ y) * x)). [hyper(280,a,938,a,b,2054,a)]. 2056 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(5(a,1),2054(a,1,1,2))]. 2057 1 / ((x * y) \ (x * ((z * (y \ 1)) \ 1))) = R(z,y \ 1,x \ 1). [hyper(58,a,802,a(flip),b,525,a)]. 2058 L(L(x \ 1,x,y) \ z,y \ (y / x),y * x) = y \ ((y * x) * z). [para(336(a,2),576(a,1,1,1))]. 2059 L(T(x,x / y),x \ (x / y),x * y) = x \ ((x * y) * (x / y)). [para(411(a,2),576(a,1,1))]. 2060 L((x \ 1) \ y,T(x,z) \ (T(x,z) / x),T(x,z) * x) = T(x,z) \ ((T(x,z) * x) * y). [para(1515(a,1),576(a,1,1,1))]. 2061 L(L(L(x \ 1,x,y) \ z,u,w),L(x \ 1,x,y),y) = L((y / x) \ (y * z),u,w). [para(579(a,1),25(a,1,1)),flip(a)]. 2062 (L(x \ 1,x,y) \ 1) \ (L(x \ 1,x,y) \ y) = ((y / x) \ (y * 1)) * ((L(x \ 1,x,y) \ 1) \ y). [para(579(a,1),1934(a,1,1)),flip(a)]. 2064 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(1291(a,1),548(a,1,2)),flip(a)]. 2065 a(x,y,x) = (R(R(z,u,w),v5,R(z,u,w)) * (u * w)) / ((z * u) * w). [para(978(a,2),1302(a,1,1,1)),flip(a)]. 2066 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (1 \ (x * z))) * y). [hyper(111,a,1318,a(flip),b,241,a),flip(a)]. 2067 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(573(a,1),1346(a,1,2,1))]. 2068 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(24(a,1),1378(a,1,2))]. 2069 x / (K(y \ 1,y) * z) = ((x / z) \ 1) \ 1. [hyper(58,a,399,a(flip),b,1470,a),flip(a)]. 2072 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(376(a,1),1619(a,1,2,2))]. 2073 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(337(a,1),1789(a,1,1)),flip(a)]. 2074 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(126,a,2073,a)]. 2075 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(280,a,4,a(flip),b,2074,a),flip(a)]. 2076 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(4(a,1),2075(a,1,2,1))]. 2077 L(x \ y,x,x \ 1) \ (x \ y) = (x \ y) * ((y \ 1) * x). [para(528(a,1),1926(a,2,2))]. 2078 ((x \ 1) * y) \ (x \ y) = (x \ y) * ((y \ 1) * x). [para(680(a,1),2077(a,1,1))]. 2079 L(T(x \ (y * (L(y,z,u) \ x)),w),x,y) = T((L(y,z,u) * x) \ (y * x),w). [para(1942(a,1),20(a,2,1))]. 2080 L((x * (L(x,y,z) \ u)) / u,u,x) * u = u * ((L(x,y,z) * u) \ (x * u)). [para(1942(a,1),702(a,2,2))]. 2081 L(x \ (y \ z),x,z * (y / z)) = (((z * y) / z) * x) \ T(z,y). [para(947(a,1),1979(a,1,3))]. 2082 T(x * y,y) \ T((x * z) * (z \ y),y) = a(T(x,y),z,z \ y). [para(917(a,2),1996(a,1,1))]. 2084 ((x * y) / z) \ (x * (y * L(z \ 1,z,x * y))) = z * L(z \ 1,y,x). [para(86(a,1),2007(a,1,2))]. 2085 1 / ((x * y) \ (x * (y * (z \ 1)))) = R(z,y \ 1,x \ 1). [para(298(a,1),2057(a,1,2,2,2))]. 2087 R(x,y \ 1,z \ 1) = 1 / L(x \ 1,y,z). [para(13(a,2),2085(a,1,2)),flip(a)]. 2088 R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. [hyper(280,a,376,a(flip),b,2087,a),flip(a)]. 2089 R(x,y \ 1,z \ 1) != u | L(x \ 1,y,z) \ 1 = u. [para(2087(a,2),387(a,1))]. 2090 R(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1. [para(378(a,1),2088(a,2,1,1))]. 2091 R(x \ y,(x \ y) \ 1,x \ 1) = (y \ x) \ 1. [para(337(a,1),2088(a,2,1))]. 2093 R(x \ 1,y,z \ 1) = L(x,y \ 1,z) \ 1. [para(378(a,1),2090(a,1,2))]. 2094 R(x \ 1,y \ 1,z) = L(x,y,z \ 1) \ 1. [para(378(a,1),2090(a,1,3))]. 2095 L(x,(y \ 1) \ 1,z) = L(x,y,z). [hyper(34,a,2090,a(flip),b,2093,a(flip)),flip(a)]. 2096 x * R(x \ 1,y,y \ 1) = a(y,y \ 1,x). [para(2093(a,2),1923(a,1,2))]. 2097 L(x,T(y,y \ 1),z) = L(x,y,z). [para(102(a,2),2095(a,1,2))]. 2098 L(x,T(1 / y,z),u) = L(x,T(y \ 1,z),u). [para(751(a,1),2095(a,1,2)),flip(a)]. 2099 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(2097(a,1),86(a,1,2))]. 2100 L(x,y,(z \ 1) \ 1) = L(x,y,z). [hyper(34,a,2090,a(flip),b,2094,a(flip)),flip(a)]. 2101 L(x,y,1 / z) = L(x,y,z \ 1). [para(70(a,1),2100(a,1,3,1)),flip(a)]. 2102 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(1686(a,2),2100(a,1,3))]. 2103 L(T(x,1 / y) \ z,T(x,1 / y),y \ 1) = (x * (1 / y)) \ ((1 / y) * z). [hyper(58,a,573,a(flip),b,2101,a),flip(a)]. 2104 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [para(733(a,1),2102(a,1,3))]. 2105 L(x,y,a(z,u,z) * w) = L(x,y,w). [para(859(a,1),2102(a,1,3,1))]. 2106 L(x,y,L(z,u,z)) = L(x,y,z). [para(1472(a,2),2104(a,1,3))]. 2107 L(x,T(y \ 1,z),(u \ 1) \ 1) = L(x,T(1 / y,z),u). [hyper(280,a,2100,a,b,2098,a)]. 2108 (x * T(1 / y,z)) \ (x * (T(1 / y,z) * u)) = L(u,T(y \ 1,z),(x \ 1) \ 1). [hyper(280,a,13,a(flip),b,2107,a)]. 2109 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(2099(a,1),38(a,1)),flip(a)]. 2110 L(T(x,y \ x),x \ (x / y),x * y) = x \ ((x * y) * (x / y)). [para(775(a,1),2059(a,1,1))]. 2111 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(1377(a,1),2068(a,1,2,1)),flip(a)]. 2112 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(702(a,1),2111(a,1,1))]. 2113 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(123,a,2112,a)]. 2114 (x \ y) \ (y * L(y \ (x \ y),z,u)) != w | T(x * L(x \ 1,z,u),x \ y) = w. [para(2112(a,1),266(a,1,2))]. 2115 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(169(a,1),2113(a,1,1,2,1,2))]. 2116 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(376(a,1),2072(a,1,2,1,2,1))]. 2117 L(x \ (y \ z),x,z * (y / z)) = ((z * (y / z)) * x) \ T(z,y). [para(947(a,1),2081(a,2,1,1))]. 2118 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(5(a,1),1157(a,2,1,1,2))]. 2119 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(280,a,495,a(flip),b,2118,a),flip(a)]. 2120 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(6(a,1),2119(a,1,1,1,2))]. 2121 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(1366,a,2120,a)]. 2122 x / T(y \ (x * (z \ y)),z) = (y \ (x * (z \ y))) \ x. [para(2121(a,1),1670(a,1,2))]. 2123 (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). [para(2(a,1),2122(a,1,2,1,2)),flip(a)]. 2124 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(2(a,1),2123(a,1,1,2)),flip(a)]. 2125 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(175,a,2124,a),flip(a)]. 2126 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2125(a,2),1532(a,1,2))]. 2127 T((x * y) * L(x \ (y \ x),z,u),x \ (x / y)) = L(x \ (x / y),z,u) * T(x * y,x \ (x / y)). [para(1184(a,1),1946(a,1,1))]. 2128 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(1322,a,101,a(flip))]. 2129 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(152(a,1),1352(a,1,2,1)),flip(a)]. 2130 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(7(a,1),1369(a,1,1,1)),flip(a)]. 2132 K(x \ 1,x) * T(y,z) = z * (T((z \ 1) \ 1,y) \ y). [para(378(a,1),1483(a,1,2,2))]. 2133 T(x * K(y \ 1,y),z) = z * (T((z \ 1) \ 1,x) \ x). [hyper(58,a,1653,a,b,2132,a)]. 2134 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(z \ 1,z),x),T((x \ 1) \ 1,y)). [para(2133(a,2),2120(a,2,2,1,2))]. 2135 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(280,a,2101,a(flip),b,1560,a),flip(a)]. 2136 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(58,a,2001,a(flip),b,1565,a),flip(a)]. 2137 K(x \ 1,x) * R(((y \ 1) * y) \ z,u,w) = (y \ 1) * (y * R(y \ ((y \ 1) \ z),u,w)). [para(394(a,2),1565(a,1,1))]. 2138 (x * y) * L(y \ (x \ y),z,u) = x * (y * L(y \ (x \ y),z,u)). [para(479(a,1),1567(a,1,2,1))]. 2139 (x \ 1) * (y * L(y \ ((x \ 1) \ 1),z,u)) = ((x \ 1) * y) * L((y \ 1) * x,z,u). [para(528(a,1),1567(a,1,2,1)),flip(a)]. 2140 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(280,a,702,a(flip),b,1571,a),flip(a)]. 2141 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(1213,a,1574,a)]. 2142 T((x / y) \ ((x / y) / x),x \ (x / y)) = (y \ x) \ (x \ (y \ x)). [para(935(a,1),1616(a,1,1))]. 2143 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,u,x) \ 1). [para(1824(a,2),1636(a,2,2))]. 2144 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [hyper(111,a,1687,a(flip),b,1731,a(flip))]. 2145 x * R(x \ 1,y,y \ 1) = a(x \ 1,y,y \ 1). [hyper(1433,a,2144,a),flip(a)]. 2146 a(x \ 1,y,y \ 1) = a(y,y \ 1,x). [hyper(58,a,2096,a(flip),b,2145,a),flip(a)]. 2147 a(x,x \ 1,y \ 1) = a(y,x,x \ 1). [para(378(a,1),2146(a,1,1)),flip(a)]. 2148 L(x,y,x \ 1) \ ((x \ 1) * y) = (x \ 1) * (L(x \ 1,x,y) * y). [hyper(280,a,1912,a(flip),b,1833,a),flip(a)]. 2149 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(115,a,1839,a)]. 2150 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(5(a,1),1841(a,2,2,1,2))]. 2152 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(115,a,1847,a)]. 2153 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(1435,a,1849,a)]. 2154 ((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(96(a,1),1849(a,1,2))]. 2155 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(266,a,1920,a),flip(a)]. 2157 T(x,L(x,y,z) * u) = T(x,u). [hyper(58,a,876,a(flip),b,2155,a),flip(a)]. 2159 T(x,L(x,y,z) * u) = T(x,x * u). [hyper(280,a,435,a,b,2157,a),flip(a)]. 2160 T(x \ 1,x \ y) = T(x \ 1,y). [para(1063(a,1),2157(a,1,2))]. 2161 T(x \ 1,x * y) = T(x \ 1,y). [para(4(a,1),2160(a,1,2)),flip(a)]. 2162 (x * y) * L(T(x \ 1,y),z,u) != w | L(x \ 1,z,u) * (x * y) = w. [para(2161(a,1),348(a,1,2,1))]. 2165 (L(x,y,z) \ x) * L(x,u,w) = x * (L(x,y,z) \ L(x,u,w)). [para(1576(a,1),1927(a,1,2)),flip(a)]. 2166 x * L(y,z,u) != y * (L(y,w,v5) \ L(y,z,u)) | L(y,w,v5) \ y = x. [para(2165(a,1),39(a,1)),flip(a)]. 2167 x \ (L(y / x,z,u) * (x * (y \ x))) = (L(y / x,z,u) \ y) \ x. [para(468(a,1),1950(a,1,2,2))]. 2168 T(x,y) * (((x * (y / x)) * z) \ T(x,y)) = (T(x,y) / z) * (y \ x). [para(947(a,1),1978(a,1,2,1,1))]. 2169 a(x,y,x) = ((R(z,u,R(z,w,v5)) * w) * v5) / ((z * w) * v5). [para(592(a,1),2065(a,2,1))]. 2170 (R(x,y,R(x,z,u)) * z) * u = (R(x,w,x) * z) * u. [hyper(32,a,1620,a(flip),b,2169,a(flip)),flip(a)]. 2172 R(R(x,y,x),z,u) * (z * u) = (R(x,w,R(x,z,u)) * z) * u. [hyper(280,a,96,a,b,2170,a)]. 2173 R(R(x,y,z),u,R(x,y,z)) = R(R(x,w,x),y,z). [hyper(30,a,592,a,b,2172,a)]. 2174 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [para(60(a,1),2066(a,2,2,1,2))]. 2175 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(6(a,1),2140(a,1,1,1,1,1)),flip(a)]. 2176 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(702(a,1),2140(a,1,1))]. 2177 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(712(a,1),2141(a,2,1))]. 2178 (x * y) * R((x * y) \ ((x * z) * y),u,w) = (x * R(z,u,w)) * y. [para(713(a,1),2141(a,2,1))]. 2179 T((x / y) \ (x / (x * y)),x \ (x / y)) = (y \ x) \ (x \ (y \ x)). [para(374(a,1),2142(a,1,1,2))]. 2180 L(x,y,x \ 1) \ ((x \ 1) * y) = (x \ 1) * (x \ y). [para(1063(a,1),2148(a,2,2))]. 2181 x \ ((y \ 1) * z) != (y \ 1) * (y \ z) | L(y,z,y \ 1) = x. [para(2180(a,1),43(a,1)),flip(a)]. 2182 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(3(a,1),2149(a,1,2,2,1,2)),flip(a)]. 2183 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(5(a,1),2149(a,1,2,2,1,2)),flip(a)]. 2185 ((x * y) \ x) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(y,z,u)). [para(4(a,1),2182(a,2,2,2,1))]. 2186 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(13(a,2),2182(a,1,1)),flip(a)]. 2187 ((x * y) \ y) * L(((x * y) \ y) \ 1,z,u) = (x * y) \ (y * L(T(x,y),z,u)). [para(17(a,2),2182(a,2,2,2,1))]. 2188 (x \ y) * L((x \ y) \ 1,y,y \ 1) = x \ (y * ((y \ 1) * x)). [para(680(a,1),2182(a,2,2,2))]. 2189 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(5(a,1),2152(a,1,2,2,1))]. 2190 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(58,a,83,a(flip),b,2189,a)]. 2191 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(1223(a,1),2153(a,2,1))]. 2192 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(4(a,1),2175(a,1,2,1)),flip(a)]. 2193 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(703(a,1),2192(a,1,1))]. 2194 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(676,a,2193,a)]. 2196 ((x / y) * L(y,z,u)) * y = x * L(y,z,u). [hyper(280,a,138,a(flip),b,2193,a),flip(a)]. 2197 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(115,a,2193,a)]. 2198 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(112,a,138,a(flip),b,2193,a)]. 2199 (x * (y * y)) / y = x * L(y,y,x). [hyper(112,a,86,a(flip),b,2193,a)]. 2200 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(112,a,68,a(flip),b,2193,a),flip(a)]. 2201 T(x * y,L(y,z,u)) = T(x,L(y,z,u)) * y. [hyper(226,a,2193,a(flip),b,1230,a)]. 2202 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(111,a,138,a(flip),b,2193,a(flip))]. 2204 ((x * y) / z) * L(z,T(x,y),y) = (y * (T(x,y) * z)) / z. [hyper(112,a,561,a(flip),b,2196,a),flip(a)]. 2205 (x / y) * L(y,z,x / z) = ((x / z) * (z * y)) / y. [hyper(112,a,549,a(flip),b,2196,a),flip(a)]. 2206 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [hyper(112,a,86,a(flip),b,2196,a),flip(a)]. 2207 ((x / y) * L(y,y \ 1,x)) \ (x / (y \ 1)) = y. [hyper(111,a,390,a(flip),b,2196,a)]. 2208 (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. [para(2196(a,1),287(a,1,1))]. 2209 ((x / y) * L(y,z,u)) \ y = y * ((x * L(y,z,u)) \ y). [para(2196(a,1),475(a,1,2,1)),flip(a)]. 2210 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(2197(a,1),1602(a,1,1)),flip(a)]. 2211 (L(x,y,z) / x) * L(x,u,w) = L(x,y,z) * (x \ L(x,u,w)). [hyper(58,a,1280,a(flip),b,2198,a),flip(a)]. 2212 x / y != (z / y) * L(y,u,w) | z * L(y,u,w) = x. [para(2198(a,1),41(a,1)),flip(a)]. 2213 (x * L(T(y,x),z,u)) / T(y,x) = (y \ x) * L(T(y,x),z,u). [para(428(a,1),2198(a,2,1))]. 2214 T(x \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [hyper(1102,a,2201,a),flip(a)]. 2215 T((x / L(y,z,u)) * y,L(y,z,u)) = (L(y,z,u) \ x) * y. [para(103(a,1),2201(a,2,1))]. 2216 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(172(a,1),2202(a,1,1,1)),flip(a)]. 2217 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(115,a,2206,a),flip(a)]. 2218 (x * y) * (((x * (y * z)) / z) \ (x * y)) = ((x * y) / L(z,y,x)) * z. [para(2206(a,1),181(a,1,2,1))]. 2219 (x * y) \ (((x * y) / L(z,y,x)) * z) = ((x * (y * z)) / z) \ (x * y). [para(2206(a,1),693(a,1,1)),flip(a)]. 2220 T((x * (y * z)) / z,(x * y) / z) = L(z,y,x) * ((x * y) / z). [para(2206(a,1),897(a,1,1))]. 2221 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [para(2210(a,1),708(a,1,2))]. 2222 ((x * y) / z) * L(z,y,x) != u | (x * (y * z)) / z = u. [para(2217(a,2),239(a,1,2)),flip(b)]. 2223 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(124,a,2221,a)]. 2224 T(x,y * L(x,z,u)) = T(x,y). [hyper(226,a,1015,a(flip),b,2223,a)]. 2225 T(x \ 1,y / x) = T(x \ 1,y). [para(343(a,1),2224(a,1,2))]. 2226 T(x,y * (z * x)) = T(x,y * z). [para(86(a,1),2224(a,1,2))]. 2227 T(x,y / (x \ 1)) = T(x,y). [para(390(a,1),2224(a,1,2))]. 2228 T(x,x \ (y / (x \ 1))) = T(x,y). [hyper(648,a,2227,a)]. 2229 L(T(x \ 1,y),x,y / x) = (y / x) \ (x \ (y / x)). [para(2225(a,1),1064(a,1,1))]. 2230 T(x,y * (x \ 1)) = T(x,x \ y). [para(6(a,1),2228(a,1,2,2)),flip(a)]. 2231 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [para(522(a,1),2228(a,1,2,2))]. 2232 T(x,y * (x \ 1)) = T(x,y / x). [hyper(280,a,759,a,b,2230,a),flip(a)]. 2233 T(x,y * (1 / x)) = T(x,y / x). [hyper(58,a,1538,a,b,2232,a)]. 2234 T(x,(y / (1 / x)) / x) = T(x,y). [para(7(a,1),2233(a,1,2)),flip(a)]. 2235 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1658(a,1),2231(a,1,2,2,1)),flip(a)]. 2236 ((x / y) * (y * (y \ 1))) / (y \ 1) = (x / (y \ 1)) * (x \ (x / y)). [para(340(a,1),2205(a,1,2)),flip(a)]. 2237 x \ ((x / L(y,z,x / z)) * y) = (((x / z) * (z * y)) / y) \ x. [para(2205(a,1),693(a,1,1)),flip(a)]. 2238 (x / y) / (y \ 1) != z | (x / (y \ 1)) * L(y \ 1,y,x) = z. [para(343(a,1),2208(a,1,1))]. 2239 ((x / (x * y)) * L(x,z,u)) \ x = x * (((x / y) * L(x,z,u)) \ x). [para(374(a,1),2209(a,1,1,1))]. 2240 (L(x,y,z) * (x \ L(x,u,w))) \ L(x,y,z) = L(x,y,z) \ ((L(x,y,z) / L(x,u,w)) * x). [para(2211(a,1),693(a,1,1))]. 2241 (L(x,y,z) * u) / T(x,u) = (x \ u) * L(T(x,u),y,z). [para(224(a,1),2213(a,1,1))]. 2242 (L(x,y,z) * u) / T(x,u) = L(x,y,z) * (x \ u). [hyper(280,a,706,a(flip),b,2241,a),flip(a)]. 2244 (((x / y) * (y * z)) / z) \ x = x \ (((x / (y * z)) * y) * z). [para(1385(a,1),2237(a,1,2,1)),flip(a)]. 2245 (((x / y) * (y * z)) / z) \ x = a(x / (y * z),y,z). [hyper(280,a,78,a(flip),b,2244,a),flip(a)]. 2247 (((x / y) * (y * T(z,y))) / T(z,y)) \ x = x \ (((x / (z * y)) * y) * T(z,y)). [para(101(a,1),2244(a,2,2,1,1,2))]. 2249 L(T(x,((1 / y) * (y * z)) / z),((1 / y) * (y * z)) / z,a(1 / (y * z),y,z)) = ((((1 / y) * (y * z)) / z) \ 1) * (x * (((1 / y) * (y * z)) / z)). [para(2245(a,1),683(a,1,3))]. 2250 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [hyper(280,a,1567,a(flip),b,2176,a),flip(a)]. 2251 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(64(a,1),2176(a,1,1,2,1,2)),flip(a)]. 2253 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(58,a,1567,a(flip),b,2251,a)]. 2254 ((x / y) * L((x / y) \ 1,z,u)) * y = x * L(x \ y,z,u). [hyper(58,a,2150,a(flip),b,2253,a),flip(a)]. 2255 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(112,a,2150,a(flip),b,2253,a(flip)),flip(a)]. 2256 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(4(a,1),2253(a,1,2,2,1,2))]. 2257 (x * L(x \ y,z,u)) / y != w | (x / y) * L((x / y) \ 1,z,u) = w. [para(2254(a,1),287(a,1,1))]. 2258 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(((x / y) * y) \ (z * y),u,w). [hyper(286,a,2177,a),flip(a)]. 2259 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(58,a,1565,a(flip),b,2177,a)]. 2260 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(226,a,2177,a(flip),b,1843,a),flip(a)]. 2261 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(226,a,2177,a(flip),b,1565,a(flip)),flip(a)]. 2262 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(111,a,2177,a(flip),b,1843,a),flip(a)]. 2264 (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(838(a,1),2177(a,1,2,1)),flip(a)]. 2265 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(17(a,2),2261(a,1,2,1,2)),flip(a)]. 2266 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(111,a,2265,a,b,xx)]. 2267 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(4(a,1),2178(a,1,2,1)),flip(a)]. 2268 (x * y) / R(y,z,u) = (x / R(y,z,u)) * y. [hyper(676,a,2267,a)]. 2269 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(112,a,138,a(flip),b,2267,a)]. 2270 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(112,a,68,a(flip),b,2267,a),flip(a)]. 2271 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(225(a,1),2267(a,1,1)),flip(a)]. 2273 T(1 / x,R(x,y,z)) = x \ 1. [hyper(226,a,2270,a,b,1821,a)]. 2274 T(1 / (1 / x),R(1 / x,y,z)) = x. [hyper(280,a,70,a(flip),b,2273,a),flip(a)]. 2275 T(1 / (1 / x),y / (x * y)) = x. [para(210(a,1),2274(a,1,2))]. 2276 T(1 / (1 / x),(y * x) \ y) = x. [para(921(a,1),2275(a,1,2))]. 2277 T(x,(y * x) \ y) = T(x,x \ 1). [para(2276(a,1),461(a,1,1)),flip(a)]. 2278 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(280,a,102,a(flip),b,2277,a),flip(a)]. 2279 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(5(a,1),2278(a,1,2,1))]. 2280 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(70(a,1),2279(a,1,2))]. 2281 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(280,a,1555,a(flip),b,2280,a),flip(a)]. 2282 T(x \ (x / y),y) = x \ (x / y). [hyper(280,a,378,a(flip),b,2280,a),flip(a)]. 2283 (x \ (x / y)) * y = y * (x \ (x / y)). [para(2282(a,1),101(a,1,2)),flip(a)]. 2284 x * (y \ (y / x)) != z | (y \ (y / x)) * x = z. [para(2282(a,1),259(a,1,2))]. 2286 L(x * y,y,x) \ (x * y) = y * (x \ (x / y)). [hyper(58,a,1890,a,b,2283,a)]. 2287 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(70(a,1),2281(a,2,2,2,1))]. 2289 (x * y) \ L(x * y,y,x) = (y * (x \ (x / y))) \ 1. [para(2286(a,1),1262(a,1,1)),flip(a)]. 2290 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(101(a,1),2271(a,1,1)),flip(a)]. 2291 ((x / y) * (y * (y \ 1))) / (y \ 1) = x * (((x * y) * (y \ 1)) \ x). [hyper(280,a,313,a(flip),b,2236,a),flip(a)]. 2292 x \ ((x / L(x,y,z)) * (x * u)) = x * (((x / u) * L(x,y,z)) \ x). [hyper(58,a,693,a(flip),b,2239,a)]. 2294 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [para(6(a,1),2250(a,1,1,2,1,2)),flip(a)]. 2295 x \ ((L(x,y,z) \ x) * (x * u)) = x * (((x / u) * L(x,y,z)) \ x). [para(449(a,1),2292(a,1,2,1))]. 2296 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(227,a,2294,a),flip(a)]. 2297 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [para(61(a,1),2294(a,1,2,2,1,2)),flip(a)]. 2298 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(17(a,2),2296(a,1,2,1,2)),flip(a)]. 2299 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(111,a,2298,a,b,xx)]. 2300 x \ ((L(x,y,z) \ x) * (x * u)) = (L(x,y,z) \ x) * u. [hyper(280,a,697,a(flip),b,2295,a),flip(a)]. 2301 x \ ((L(x,y,z) \ x) * u) = (L(x,y,z) \ x) * (x \ u). [para(5(a,1),2300(a,1,2,2))]. 2302 x * ((L(x,y,z) \ x) * (x \ u)) = (L(x,y,z) \ x) * u. [hyper(126,a,2301,a)]. 2303 (L(x,y,z) \ x) * (x \ L(x,u,w)) = L(x,y,z) \ L(x,u,w). [hyper(29,a,2165,a(flip),b,2302,a),flip(a)]. 2305 (x \ L(x,y,z)) * T(L(x,u,w) \ x,x \ L(x,y,z)) = L(x,u,w) \ L(x,y,z). [hyper(260,a,2303,a)]. 2307 (x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = (L(x,u,w) \ L(x,y,z)) \ (x \ L(x,y,z)). [para(2303(a,1),479(a,1,1)),flip(a)]. 2308 (L(x,y,z) \ L(x,u,w)) * ((x \ L(x,u,w)) \ ((L(x,y,z) \ x) \ (x \ L(x,u,w)))) = x \ L(x,u,w). [para(2303(a,1),480(a,1,1))]. 2309 ((x \ 1) * ((y * z) \ 1)) \ (((z * x) \ 1) * (y \ 1)) = a(x \ 1,z \ 1,y \ 1). [para(512(a,1),523(a,1,1,2))]. 2310 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(280,a,9,a,b,582,a)]. 2311 ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). [para(5(a,1),590(a,1,2,1))]. 2312 (x * (y * T(z,u))) / (x * y) = T((x * (y * z)) / (x * y),u). [para(557(a,1),749(a,1,1))]. 2313 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(258,a,1349,a),flip(a)]. 2314 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(495(a,1),2313(a,2,1))]. 2315 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(58,a,1343,a(flip),b,2314,a)]. 2316 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(226,a,2314,a(flip),b,1343,a(flip)),flip(a)]. 2317 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(2(a,1),2314(a,1,2,1,2))]. 2318 (x * y) * T((x * y) \ (z * y),u) != w * v5 | w \ ((x * T(x \ z,u)) * y) = v5. [para(2314(a,2),631(a,1))]. 2319 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(17(a,2),2316(a,1,2,1,2)),flip(a)]. 2320 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(111,a,2319,a,b,xx)]. 2321 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(4(a,1),2320(a,1,2,1,2,1)),flip(a)]. 2322 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(58,a,1343,a(flip),b,2317,a)]. 2323 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(101(a,1),2322(a,1,2)),flip(a)]. 2324 (x \ y) * ((y \ T(x,x \ y)) * y) = ((x \ y) * T((x \ y) \ 1,y)) * y. [para(102(a,2),2323(a,2,2,1,2)),flip(a)]. 2325 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(5(a,1),2315(a,1,2,2,1,2,2))]. 2326 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(7(a,1),2315(a,1,2,2,1,2,2)),flip(a)]. 2327 x * ((y \ (x \ (z * y))) * y) = (x * T(x \ z,y)) * y. [para(101(a,1),2315(a,1,2))]. 2328 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(88(a,2),2315(a,1,2,2,1,2)),flip(a)]. 2329 ((x * (y \ z)) * T((x * (y \ z)) \ x,z)) * z = (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z). [para(575(a,2),2327(a,1,2,1,2)),flip(a)]. 2330 (x * (y * T(y \ (x \ z),u))) / y = x * T(x \ (z / y),u). [hyper(123,a,2326,a)]. 2331 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(101(a,1),2326(a,1,1)),flip(a)]. 2333 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(58,a,1343,a,b,2331,a)]. 2334 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(1360(a,1),2331(a,1,2)),flip(a)]. 2335 ((1 / x) * ((1 / x) \ T(y,z))) / x = (1 / x) * T((1 / x) \ (y / x),z). [para(2129(a,1),2330(a,1,1,2))]. 2338 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(563(a,1),1397(a,1,1))]. 2346 ((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))) != u | z * L(z \ 1,y,x) = u. [para(86(a,1),1983(a,1,2))]. 2347 (x * y) / (((x * y) / L(z,y,x)) * z) != u | ((x * (y * z)) / z) / (x * y) = u. [para(2218(a,1),476(a,1,2))]. 2348 (x * y) \ (((x * y) / (x \ (x / y))) * (y \ 1)) = ((x * (y * (y \ 1))) / (y \ 1)) \ (x * y). [para(336(a,1),2219(a,1,2,1,2))]. 2349 (((x * (y * z)) / z) \ (x * y)) * (x * y) != u | T(((x * y) / L(z,y,x)) * z,x * y) = u. [para(2219(a,1),954(a,1,1))]. 2350 R(K(x \ 1,x) * y,z,u) = K(w \ 1,w) * (((y * z) * u) / (z * u)). [hyper(1510,a,2338,a),flip(a)]. 2352 R(K(x \ 1,x) * y,z,u) = K(w \ 1,w) * R(y,z,u). [para(15(a,2),2350(a,2,2))]. 2353 (x * ((y * z) * K(u \ 1,u))) \ (K(w \ 1,w) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(w \ 1,w)). [para(1403(a,1),571(a,1,1))]. 2354 L(L(x \ 1,y * x,L(x,z,u)),x,y) = L(x \ 1,x,L(x,z,u) * y). [hyper(58,a,1329,a,b,1231,a)]. 2355 (x / y) * (y * T(y \ ((x / y) \ z),u)) = x * T(x \ z,u). [para(7(a,1),1353(a,2,2,1,1))]. 2356 (x * (y \ x)) * L(x \ y,z,u) = x * (y \ (x * L(x \ y,z,u))). [para(2182(a,1),1568(a,1,2)),flip(a)]. 2357 x \ ((x * (x / y)) * L(y / x,z,u)) = (x / y) * L((x / y) \ 1,z,u). [hyper(115,a,1570,a)]. 2359 (x * (x / y)) * L(y / x,z,u) = x * ((x * L(x \ y,z,u)) / y). [para(2255(a,1),1570(a,1,2)),flip(a)]. 2360 (x * (y \ x)) * (((x * (y \ x)) * L((x * (y \ x)) \ x,z,u)) / x) = ((x * (y \ x)) * ((x * (y \ x)) / x)) * L(y / x,z,u). [para(460(a,1),2359(a,1,2,1)),flip(a)]. 2361 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [para(101(a,1),1621(a,1,2,1,1)),flip(a)]. 2362 x * (T(y,x) * T(T(y,x) \ 1,z)) = y * (x * T(x \ (y \ x),z)). [hyper(280,a,1343,a(flip),b,2361,a),flip(a)]. 2363 x * K(y \ (y / T(z,x)),y) = z * (x * T(x \ (z \ x),y)). [para(1795(a,2),2362(a,1,2))]. 2365 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(226,a,2322,a(flip),b,2363,a)]. 2369 T(x,((x \ y) \ y) \ z) = T(x,x \ z). [hyper(30,a,1907,a,b,1837,a),flip(a)]. 2371 T(x,T(x,y) \ z) = T(x,x \ z). [para(411(a,2),2369(a,1,2,1))]. 2373 T(x,T(x,y) \ z) = T(x,z). [hyper(280,a,423,a(flip),b,2371,a),flip(a)]. 2374 T(x,x \ (T(x,y) * z)) = T(x,z). [para(4(a,1),2371(a,1,2)),flip(a)]. 2375 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(61(a,1),1845(a,2,2,2,1,2,2))]. 2377 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(115,a,2064,a)]. 2378 ((x * y) / z) \ u != z * L(z \ 1,y,x) | x * (y * L(z \ 1,z,x * y)) = u. [para(2084(a,1),42(a,1)),flip(a)]. 2379 (x \ (x / y)) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(y,z,u)). [para(304(a,1),2185(a,1,1))]. 2380 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(2251(a,1),2256(a,1,2)),flip(a)]. 2382 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1657(a,1),2380(a,1,1)),flip(a)]. 2383 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),2260(a,1,1))]. 2384 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(17(a,2),2383(a,1,2,1,1))]. 2385 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(4(a,1),2384(a,2,1,2,1))]. 2386 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(1330(a,1),2297(a,1,1))]. 2388 (x \ y) * ((y \ T(x,x \ y)) * y) = (x \ ((y \ x) * y)) * y. [para(1380(a,1),2324(a,2,1))]. 2389 (x \ y) * ((y \ T(x,x \ y)) * y) = K(y \ x,y) * y. [para(81(a,1),2388(a,2,1))]. 2390 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(5(a,1),2335(a,1,1)),flip(a)]. 2391 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [hyper(58,a,1954,a(flip),b,2390,a)]. 2393 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [para(6(a,1),2390(a,1,2,1,2))]. 2394 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(280,a,1050,a(flip),b,2393,a),flip(a)]. 2395 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(2393(a,1),2331(a,1,2)),flip(a)]. 2396 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(259,a,2394,a),flip(a)]. 2398 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [para(3(a,1),2377(a,1,2,2,1,2,2)),flip(a)]. 2399 x \ ((y * x) * ((z * ((y * x) \ x)) / z)) = T(y,x) * ((z * ((x \ (y * x)) \ 1)) / z). [para(17(a,2),2398(a,1,1)),flip(a)]. 2400 (x \ (x / y)) * L((x \ (x / y)) \ 1,z,u) = (x * y) \ (x * L(y,z,u)). [para(304(a,1),2379(a,1,2,1,1))]. 2401 x \ ((x / y) * L((x / y) \ x,z,u)) = (x * y) \ (x * L(y,z,u)). [hyper(58,a,2182,a(flip),b,2400,a)]. 2402 (x * y) \ (x * L(y,z,u)) = x \ ((x / y) * L(y,z,u)). [para(70(a,1),2401(a,1,2,2,1)),flip(a)]. 2403 L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)). [hyper(1186,a,2402,a)]. 2405 x \ ((x / (y \ 1)) * L(y \ 1,y,x)) = (x * (y \ 1)) \ (x / y). [para(343(a,1),2402(a,1,2)),flip(a)]. 2406 (x * y) \ (((x * y) / L(z,y,x)) * L(L(z,y,x),u,w)) = (x * (y * z)) \ ((x * y) * L(L(z,y,x),u,w)). [para(86(a,1),2402(a,1,1)),flip(a)]. 2407 (x * y) \ (((x * y) / z) * L(z,y,x)) = ((x * y) * z) \ (x * (y * z)). [para(86(a,1),2402(a,1,2)),flip(a)]. 2408 x \ ((x / y) * L(y,y \ 1,x)) = (x * y) \ (x / (y \ 1)). [para(390(a,1),2402(a,1,2)),flip(a)]. 2409 (T(x,y) * y) \ (T(x,y) * L(y,z,u)) = T(x,y) \ ((y \ x) * L(y,z,u)). [para(929(a,1),2402(a,2,2,1))]. 2410 x \ ((x / y) * L(y,z,u)) != w | L(y \ L(y,z,u),y,x) = w. [para(2402(a,1),1186(a,1))]. 2411 (x * y) \ (((x * y) / z) * L(z,T(x,y),y)) = ((x * y) * z) \ (y * (T(x,y) * z)). [para(561(a,1),2402(a,1,2)),flip(a)]. 2412 x * L(y \ L(y,z,u),y,x) = (x / y) * L(y,z,u). [hyper(126,a,2403,a(flip))]. 2413 L(x,y,z) != z \ ((z / y) * L(y,u,w)) | y \ L(y,u,w) = x. [para(2403(a,1),45(a,1)),flip(a)]. 2414 x * L(y \ L(y,z,u),y,x) != w | (x / y) * L(y,z,u) = w. [para(2403(a,2),239(a,1,2)),flip(b)]. 2415 L(x * L(x \ 1,y,z),x \ 1,u) = u \ ((u / (x \ 1)) * L(x \ 1,y,z)). [para(1013(a,1),2403(a,1,1))]. 2416 x \ (x / L(y \ L(y,z,u),y,x)) = ((x / y) * L(y,z,u)) \ x. [para(2412(a,1),304(a,1,1)),flip(a)]. 2417 x / L(y \ L(y,z,u),y,x) = (x / L(y,z,u)) * y. [hyper(33,a,693,a(flip),b,2416,a),flip(a)]. 2418 x / L(y \ L(y,y \ 1,x),y,x) = (x * (y \ 1)) * y. [para(389(a,1),2417(a,2,1))]. 2419 x / ((x * y) \ (x / (y \ 1))) = (x * (y \ 1)) * y. [para(655(a,1),2418(a,1,2))]. 2420 ((x * y) * z) \ (x * (y * z)) = (x * y) \ ((x * (y * z)) / z). [para(2206(a,1),2407(a,1,2)),flip(a)]. 2421 ((x / (y * z)) * y) \ (((x / (y * z)) * (y * z)) / z) = (((x / (y * z)) * y) * z) \ x. [para(7(a,1),2420(a,1,2)),flip(a)]. 2422 (x * y) \ ((x * (y * T(z,y))) / T(z,y)) = ((x * y) * T(z,y)) \ (x * (z * y)). [para(101(a,1),2420(a,1,2,2)),flip(a)]. 2423 T(x * y,y) \ (T(x,y) * L(y,z,u)) = T(x,y) \ ((y \ x) * L(y,z,u)). [para(917(a,2),2409(a,1,1))]. 2424 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(558(a,1),1212(a,1,1)),flip(a)]. 2425 L(x / y,z,u) * (y * (x \ y)) = y * (x \ (y * L(y \ x,z,u))). [hyper(1335,a,2356,a)]. 2426 x \ (x * (y \ (x * L(x \ y,z,u)))) = (L(y / x,z,u) \ y) \ x. [para(2425(a,1),2167(a,1,2))]. 2427 (L(x / y,z,u) \ x) \ y = x \ (y * L(y \ x,z,u)). [hyper(267,a,2426,a),flip(a)]. 2429 (x \ (y * L(y \ x,z,u))) \ y = T(L(x / y,z,u) \ x,y). [para(2427(a,1),411(a,2,1)),flip(a)]. 2430 (x \ (y * L(y \ x,z,u))) / y = y \ (y / (L(x / y,z,u) \ x)). [para(2427(a,1),935(a,1,1))]. 2431 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(58,a,1276,a(flip),b,1445,a),flip(a)]. 2432 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(663(a,1),1579(a,1,1,1)),flip(a)]. 2434 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(280,a,557,a(flip),b,2023,a),flip(a)]. 2435 (x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x))) * x = x * (y * T(y \ 1,x)). [hyper(1040,a,2434,a)]. 2436 (1 / x) \ (x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x))) = x * (y * T(y \ 1,x)). [hyper(58,a,1990,a,b,2434,a)]. 2437 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(2434(a,1),1960(a,1,1)),flip(a)]. 2438 L(x / (L(y,z,u) * (y \ x)),x,y) * x = x * ((L(y,z,u) * x) \ (y * x)). [para(692(a,1),2080(a,1,1,1))]. 2440 L(T(x,y \ 1) \ z,T(x,1 / y),y \ 1) = (x * (1 / y)) \ ((1 / y) * z). [para(376(a,1),2103(a,1,1,1,2))]. 2441 L(x * (y \ (y / x)),x \ 1,z) = z \ ((z / (x \ 1)) * L(x \ 1,x,y)). [para(336(a,1),2415(a,1,1,2))]. 2442 L((x \ 1) * ((y \ 1) \ ((x \ y) \ 1)),(x \ 1) \ 1,z) = z \ ((z / ((x \ 1) \ 1)) * L((x \ 1) \ 1,x \ 1,y \ 1)). [para(522(a,1),2441(a,1,1,2,2))]. 2443 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(1303(a,2),2431(a,1,2))]. 2444 L(T(x,y \ 1) \ z,T(x,y \ 1),y \ 1) = (x * (1 / y)) \ ((1 / y) * z). [para(376(a,1),2440(a,1,2,2))]. 2445 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(263,a,2443,a),flip(a)]. 2446 (x * (1 / y)) \ ((1 / y) * z) = (x * (y \ 1)) \ ((y \ 1) * z). [hyper(58,a,573,a(flip),b,2444,a),flip(a)]. 2447 (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). [hyper(277,a,2446,a),flip(a)]. 2448 K(1 / x,y) = K(x \ 1,y). [hyper(277,a,2447,a),flip(a)]. 2449 K(1 / x,y) != z | K(x \ 1,y) = z. [para(2447(a,1),277(a,1))]. 2450 K((x \ 1) \ 1,y) = K(x,y). [para(67(a,1),2448(a,1,1)),flip(a)]. 2451 K(1 / (1 / x),y) = K(x,y). [para(70(a,1),2448(a,2,1))]. 2452 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [para(298(a,1),2450(a,1,1,1))]. 2453 K(R(x,y,x),z) = K(x,z). [para(905(a,2),2450(a,1,1))]. 2454 K(K(x \ 1,x) * y,z) = K(y,z). [para(1686(a,2),2450(a,1,1))]. 2455 K((x \ y) \ y,z) = K(T(x,y),z). [para(910(a,1),2453(a,1,1))]. 2456 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [hyper(280,a,1138,a(flip),b,2451,a)]. 2457 K(L(x,y,x),z) = K(x,z). [para(848(a,2),2451(a,1,1))]. 2458 K(x * K(y \ 1,y),z) = K(x,z). [para(1468(a,2),2451(a,1,1))]. 2459 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(1497(a,2),2451(a,1,1))]. 2460 K(x \ (x * y),z) = K(y,z). [para(544(a,1),2457(a,1,1))]. 2461 K(T(x / y,x),z) = K(y \ x,z). [para(850(a,1),2457(a,1,1))]. 2462 K((x / y) \ x,z) = K(y,z). [para(7(a,1),2460(a,1,1,2))]. 2463 K((1 / (1 / x)) * y,z) = K(x * y,z). [para(1476(a,1),2454(a,1,1))]. 2464 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(1477(a,1),2454(a,1,1))]. 2465 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(1494(a,1),2454(a,1,1))]. 2466 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(1684(a,1),2454(a,1,1)),flip(a)]. 2468 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(1909(a,1),2458(a,1,1)),flip(a)]. 2469 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(1771(a,2),2458(a,1,1))]. 2470 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(67(a,1),2449(a,1,1))]. 2471 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(5(a,1),2463(a,2,1))]. 2472 K(T(x,x \ 1) \ y,z) = K(x \ y,z). [para(102(a,2),2465(a,1,1,1))]. 2473 K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). [para(740(a,2),2465(a,1,1,1))]. 2474 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(67(a,1),2466(a,1,1,2)),flip(a)]. 2475 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(5(a,1),2474(a,2,1))]. 2476 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(58,a,1211,a(flip),b,2456,a),flip(a)]. 2477 K(1 / (1 / x),y) * x != z | x * K(x,y) = z. [para(2476(a,2),237(a,1,1)),flip(b)]. 2478 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [para(378(a,1),2452(a,1,1,1,2)),flip(a)]. 2479 K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). [para(1502(a,1),2459(a,1,1,2))]. 2480 K(x,y) * x != z | x * K(x,y) = z. [para(379(a,1),2477(a,1,1,1))]. 2481 K(x,y) * x = x * K(x,y). [hyper(2480,a,xx),flip(a)]. 2482 T(x,K(x,y)) = x. [hyper(227,a,2481,a)]. 2483 T(K(x,y),x) = K(x,y). [hyper(226,a,2481,a,b,xx)]. 2484 K(x,K(x,y)) = 1. [hyper(50,a,2482,a)]. 2485 T(T(x,y),K(x,z)) = T(x,y). [para(2482(a,1),18(a,1,1)),flip(a)]. 2486 K(x,y) / x = x \ K(x,y). [para(2482(a,1),428(a,1,2))]. 2487 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(2482(a,1),223(a,1,2,1)),flip(a)]. 2488 K(x,y) / T(x,z) = T(x,z) \ K(x,y). [para(2482(a,1),441(a,1,2,1))]. 2489 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(2482(a,1),224(a,1,2,1)),flip(a)]. 2490 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(2482(a,1),348(a,1,2,1))]. 2492 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(2483(a,1),224(a,1,2,1)),flip(a)]. 2493 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2483(a,1),225(a,1,2,1)),flip(a)]. 2494 T(K(x,y) * K(z \ 1,z),x) = K(u \ 1,u) * K(x,y). [para(2483(a,1),1653(a,2,2))]. 2495 K(T(x,y),K(x,z)) = 1. [hyper(50,a,2485,a)]. 2496 T(K(x,y),T(x,z)) = K(x,y). [hyper(49,a,2485,a)]. 2499 T(x,L(K(x,y),z,u)) = x. [hyper(227,a,2492,a)]. 2500 R(L(K(x,y),z,u),x,1 / x) * K(w,w \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(2492(a,1),603(a,2,1))]. 2501 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(1174,a,2493,a),flip(a)]. 2502 T(x,R(K(x,y),z,u)) = x. [hyper(227,a,2493,a)]. 2503 K(x,R(K(x,y),z,u)) = 1. [hyper(50,a,2502,a)]. 2504 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(5(a,1),2468(a,1,1,2)),flip(a)]. 2505 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(101(a,2),2501(a,2,1,1,1))]. 2506 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(5(a,1),1826(a,1,2,1)),flip(a)]. 2507 R(x,y,x) \ T(x,z) = x \ ((x \ L(x,u,x)) * T(x,z)). [hyper(58,a,2143,a,b,2506,a),flip(a)]. 2508 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(103(a,1),2506(a,1,1)),flip(a)]. 2509 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(103(a,1),2508(a,1,2)),flip(a)]. 2510 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(4(a,1),2509(a,1,1)),flip(a)]. 2511 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(4(a,1),2510(a,1,2)),flip(a)]. 2512 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(101(a,1),1910(a,1,2,1,1)),flip(a)]. 2514 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(226,a,2001,a(flip),b,2512,a),flip(a)]. 2515 (x \ 1) * L((L(x,y,z) / x) \ 1,u,w) = x \ L(L(x,y,z) \ x,u,w). [para(537(a,1),1928(a,1,2,1))]. 2516 (x \ 1) * L((x \ L(x,y,z)) \ 1,u,w) = x \ L(L(x,y,z) \ x,u,w). [para(445(a,1),2515(a,1,2,1,1))]. 2517 (x \ 1) * L(L(x,y,z) \ x,u,w) = x \ L(L(x,y,z) \ x,u,w). [para(1263(a,1),2516(a,1,2,1))]. 2518 x \ L(L(x,y,z) \ x,L(x,y,z),z * y) = (x \ 1) * a(z,y,x). [para(2310(a,2),2517(a,1,2)),flip(a)]. 2519 (x \ 1) * a(y,z,x) = x \ a(y,z,x). [para(2310(a,2),2518(a,1,2)),flip(a)]. 2520 (x \ a(y,z,x)) / a(y,z,x) = x \ 1. [hyper(123,a,2519,a)]. 2524 (x \ y) \ (y * L(y \ (x \ y),z,u)) = T(x,y) * L(T(x,y) \ 1,z,u). [para(428(a,1),2008(a,1,2,2,1,2))]. 2525 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(5(a,1),2056(a,1,2,2)),flip(a)]. 2526 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(5(a,1),2525(a,1,3,2)),flip(a)]. 2529 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(226,a,2176,a,b,2067,a(flip))]. 2531 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [para(6(a,1),2529(a,1,1,2,1,2)),flip(a)]. 2532 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(213(a,1),2529(a,1,1,2,1,2)),flip(a)]. 2534 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(986(a,1),2531(a,1,2,1))]. 2535 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(186(a,1),2532(a,1,2,1,2))]. 2536 (x \ y) \ (y * L(y \ (x \ y),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(58,a,2524,a,b,2535,a)]. 2537 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(569(a,1),2535(a,2,1,2))]. 2538 (x \ (y \ x)) * L(((y * x) \ x) \ 1,z,u) = (y * x) \ (x * L(T(y,x),z,u)). [para(479(a,1),2187(a,1,1))]. 2539 (((x / y) * (z * y)) / T(z,y)) \ x = x \ (((x / (z * y)) * y) * T(z,y)). [para(101(a,1),2247(a,1,1,1,2))]. 2540 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(7(a,1),2258(a,2,2,1,1))]. 2541 (x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w). [hyper(123,a,2540,a)]. 2542 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [para(2(a,1),2541(a,1,1,2,1,2)),flip(a)]. 2543 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(15(a,2),2542(a,1,1)),flip(a)]. 2544 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(714(a,1),2262(a,2,2,1))]. 2545 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(986(a,1),2385(a,1,2,1))]. 2546 ((x * y) * T(z,y)) \ (x * (z * y)) = (x * y) \ ((x * (z * y)) / T(z,y)). [para(101(a,1),2422(a,1,2,1,2)),flip(a)]. 2547 (x \ (x * (y * T(y \ 1,x)))) * x = x * (y * T(y \ 1,x)). [para(2434(a,1),2435(a,1,1,2))]. 2548 (x * T(x \ 1,y)) * y = y * (x * T(x \ 1,y)). [para(4(a,1),2547(a,1,1))]. 2549 T(x,y * T(y \ 1,x)) = x. [hyper(227,a,2548,a)]. 2553 T(x,y \ T(y,x)) = x. [para(1454(a,1),2549(a,1,2))]. 2554 T(x,K(y,x)) = x. [para(1516(a,2),2549(a,1,2))]. 2555 T(x,x * K(y,x)) = x. [hyper(489,a,2554,a)]. 2556 T(x,K(y,R(x,z,u))) = x. [hyper(137,a,2554,a)]. 2557 T(K(x,y),y) = K(x,y). [hyper(49,a,2554,a)]. 2558 K(x,y) * y = y * K(x,y). [para(2554(a,1),101(a,1,2))]. 2559 K(x,y) * y != z | y * K(x,y) = z. [para(2554(a,1),259(a,1,2))]. 2560 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2554(a,1),223(a,1,2,1)),flip(a)]. 2561 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2554(a,1),224(a,1,2,1)),flip(a)]. 2562 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2554(a,1),225(a,1,2,1)),flip(a)]. 2563 T(x * (y / x),K(z,y)) = x * (y / x). [para(2554(a,1),1105(a,2,2,1))]. 2564 T((x * (y * z)) / (x * y),K(u,z)) = (x * (y * z)) / (x * y). [para(2554(a,1),2312(a,1,1,2,2)),flip(a)]. 2565 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(2553(a,1),223(a,1,2,1)),flip(a)]. 2566 T(x * K(y,x),x) = x * K(y,x). [hyper(49,a,2555,a)]. 2568 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2557(a,1),224(a,1,2,1)),flip(a)]. 2569 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(2556(a,1),18(a,1,1)),flip(a)]. 2570 (x \ y) * ((y \ T(x,x \ y)) * y) = y * K(y \ x,y). [hyper(58,a,2389,a,b,2558,a)]. 2572 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2558(a,1),593(a,2,2))]. 2573 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(2558(a,1),710(a,1,2,1))]. 2574 ((x * K(y,z)) * z) \ ((x * (z * K(y,z))) * z) = L(z,K(y,z),x). [para(2558(a,1),2216(a,2,2,1,2)),flip(a)]. 2575 T(K(x,y),T(y,z)) = K(x,y). [hyper(227,a,2560,a)]. 2576 T(x,y) * K(z,x) != u | K(z,x) * T(x,y) = u. [para(2575(a,1),259(a,1,2))]. 2577 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(2575(a,1),1106(a,1,1,2))]. 2578 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(227,a,2561,a)]. 2580 ((x * L(y,z,u)) * K(w,y)) / (K(w,y) * L(y,z,u)) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(2578(a,1),222(a,1,1,2))]. 2581 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2562(a,1),38(a,1)),flip(a)]. 2582 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(2562(a,2),556(a,1,1,2))]. 2583 T(x,L(K(y,x),z,u)) = x. [hyper(227,a,2568,a)]. 2584 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(227,a,2565,a)]. 2586 (x \ (y \ x)) * L((x \ (y \ x)) \ 1,z,u) = (y * x) \ (x * L(T(y,x),z,u)). [para(479(a,1),2538(a,1,2,1,1))]. 2587 x \ ((y \ x) * L((y \ x) \ x,z,u)) = (y * x) \ (x * L(T(y,x),z,u)). [hyper(58,a,2182,a(flip),b,2586,a)]. 2588 (x * y) \ (y * L(T(x,y),z,u)) = y \ (L(x,z,u) * (x \ y)). [para(704(a,1),2587(a,1,2)),flip(a)]. 2589 (x * y) \ (L(x,z,u) * y) = y \ (L(x,z,u) * (x \ y)). [para(224(a,1),2588(a,1,2))]. 2590 (x * y) * (y \ (L(x,z,u) * (x \ y))) = L(x,z,u) * y. [hyper(126,a,2589,a)]. 2591 (L(x,y,z) \ u) \ (L(x,y,z) * (x \ (L(x,y,z) \ u))) = (x * (L(x,y,z) \ u)) \ u. [para(5(a,1),2589(a,1,2)),flip(a)]. 2592 ((x \ 1) * y) \ (L(x \ 1,x,y) * y) = y \ ((x \ 1) \ (x \ y)). [para(1934(a,1),2589(a,2,2))]. 2593 (x * y) * T(y \ (L(x,z,u) * (x \ y)),w) = (x * T(x \ L(x,z,u),w)) * y. [para(2589(a,1),2314(a,1,2,1))]. 2595 ((x \ 1) * y) \ (x \ y) = y \ ((x \ 1) \ (x \ y)). [para(1063(a,1),2592(a,1,2))]. 2596 x \ ((y \ 1) \ (y \ x)) = (y \ x) * ((x \ 1) * y). [hyper(58,a,2078,a(flip),b,2595,a),flip(a)]. 2597 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(1294,a,1437,a),flip(a)]. 2598 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(7(a,1),2597(a,1,2,1,2,2)),flip(a)]. 2599 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(1223(a,1),2597(a,2,1))]. 2600 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(286,a,2598,a),flip(a)]. 2602 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(58,a,1845,a(flip),b,2599,a)]. 2603 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(5(a,1),2602(a,1,2,2,1)),flip(a)]. 2604 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(88(a,2),2603(a,2,2,2,1))]. 2605 T(x * L(x \ 1,y,z),x \ u) = T(x * L(x \ 1,y,z),u). [hyper(2114,a,2536,a)]. 2606 (x \ y) * T(x * L(x \ 1,z,u),y) = (x * L(x \ 1,z,u)) * (x \ y). [para(2605(a,1),101(a,1,2))]. 2607 (((x * y) * z) \ 1) \ (((y * z) \ 1) * (x \ 1)) = a(z \ 1,y \ 1,x \ 1). [para(512(a,1),2309(a,1,1))]. 2608 (((x * y) * z) \ 1) \ ((x * (y * z)) \ 1) = a(z \ 1,y \ 1,x \ 1). [para(512(a,1),2607(a,1,2))]. 2609 ((x * (y * z)) / ((x * y) * z)) \ 1 = a(z \ 1,y \ 1,x \ 1). [hyper(58,a,537,a(flip),b,2608,a)]. 2610 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(1340(a,1),2328(a,1,1)),flip(a)]. 2611 ((x * y) * z) \ (y * (T(x,y) * z)) = (x * y) \ ((y * (T(x,y) * z)) / z). [para(2204(a,1),2411(a,1,2)),flip(a)]. 2612 (x * (x \ y)) \ (((x \ y) * (T(x,x \ y) * z)) / z) = (y * z) \ ((x \ y) * (T(x,x \ y) * z)). [para(5(a,1),2611(a,1,1,1)),flip(a)]. 2613 L(R(K(x,y),x,1 / x),z,u) * K(w,w \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(24(a,1),2500(a,1,1))]. 2614 L(a(x,y,z) \ 1,a(x,y,z),(x * y) * z) = (x * y) \ ((x * (y * z)) / z). [hyper(832,a,2420,a)]. 2618 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(881(a,1),1236(a,1,2,1))]. 2619 T(x,y) \ ((x * T(x,y)) * (z \ T(x,y))) = (z * (x \ 1)) \ T(x,y). [para(1515(a,1),1411(a,1,1,2)),flip(a)]. 2621 ((x \ 1) * y) * L((y \ 1) * x,z,u) = (x \ 1) * (y * L(y \ x,z,u)). [para(378(a,1),2139(a,1,2,2,1,2)),flip(a)]. 2628 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1657(a,1),2382(a,1,2,1)),flip(a)]. 2629 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(111,a,62,a(flip),b,2628,a),flip(a)]. 2630 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [para(1263(a,1),2629(a,1,2)),flip(a)]. 2631 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(58,a,1617,a(flip),b,2630,a),flip(a)]. 2632 x * (L(x \ 1,y,z) \ (x \ 1)) = L(x \ 1,y,z) \ 1. [para(378(a,1),2631(a,1,1))]. 2633 L(x \ 1,y,z) \ (x \ 1) = x \ R(x,y \ 1,z \ 1). [hyper(111,a,2088,a,b,2632,a),flip(a)]. 2635 x \ ((y * x) * ((z * ((y * x) \ x)) / z)) = T(y,x) * ((z * (T(y,x) \ 1)) / z). [para(17(a,2),2399(a,2,2,1,2,1))]. 2636 x \ ((y * ((z * (y \ 1)) / z)) * x) = T(y,x) * ((z * (T(y,x) \ 1)) / z). [para(2191(a,1),2635(a,1,2))]. 2637 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(266,a,2636,a),flip(a)]. 2638 T(x,y) * ((z * (T(x,y) \ 1)) / z) != u | T(x * ((z * (x \ 1)) / z),y) = u. [para(2636(a,1),266(a,1))]. 2639 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(58,a,2190,a,b,2637,a),flip(a)]. 2640 (((x / (y * z)) * y) * z) \ x = ((x / (y * z)) * y) \ (x / z). [para(7(a,1),2421(a,1,2,1)),flip(a)]. 2642 (1 / x) \ (x \ (x * (y * T(y \ 1,x)))) = x * (y * T(y \ 1,x)). [para(2434(a,1),2436(a,1,2,2))]. 2643 (1 / x) \ (y * T(y \ 1,x)) = x * (y * T(y \ 1,x)). [para(4(a,1),2642(a,1,2))]. 2644 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [hyper(34,a,344,a,b,2643,a)]. 2647 R(1 / x,x,K(y,x)) = 1 / x. [para(1516(a,2),2644(a,1,3))]. 2648 (1 / x) \ K(y,x) = x * K(y,x). [para(2647(a,1),344(a,1,1))]. 2649 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(126,a,2648,a)]. 2650 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [para(67(a,1),2648(a,1,1)),flip(a)]. 2651 K(x \ 1,x) * K(y,z) = (z \ 1) * (z * K(y,z)). [para(2648(a,1),1727(a,2,2))]. 2653 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(2650(a,1),1540(a,2,2))]. 2654 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(2434(a,1),2437(a,1,2)),flip(a)]. 2655 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(111,a,4,a(flip),b,2654,a)]. 2657 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(1798(a,2),2655(a,1,1,2))]. 2658 (x * K(y,x)) \ K(y,x) = x \ 1. [para(1798(a,2),2657(a,1,2))]. 2659 K(x,y) / (y \ 1) = y * K(x,y). [hyper(183,a,2658,a)]. 2660 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(126,a,2658,a)]. 2662 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [para(70(a,1),2659(a,1,2)),flip(a)]. 2663 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(2659(a,1),1356(a,1,1)),flip(a)]. 2664 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(112,a,2660,a(flip),b,1756,a(flip)),flip(a)]. 2665 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(2660(a,1),2610(a,1,1))]. 2666 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(2664(a,1),2653(a,1,2))]. 2669 (L(x,y,z) \ u) \ (L(x,y,z) * (x \ (L(x,y,z) \ u))) = u \ (L(x,y,z) * (x \ u)). [hyper(280,a,370,a(flip),b,2591,a),flip(a)]. 2673 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(881(a,1),2618(a,1,2))]. 2674 (L(x,y,z) \ u) \ (x \ u) = u \ (L(x,y,z) * (x \ u)). [para(1918(a,1),2669(a,1,2))]. 2675 (x \ y) / (y \ (L(x,z,u) * (x \ y))) = L(x,z,u) \ y. [hyper(183,a,2674,a)]. 2676 (x \ y) \ (L(x \ 1,x,y) * ((x \ 1) \ (x \ y))) = y \ ((x \ 1) \ (x \ y)). [para(1065(a,1),2674(a,1,1)),flip(a)]. 2678 L(x,y,z) * ((L(x,y,z) \ u) * T(u \ (L(x,y,z) * (x \ u)),w)) = u * T(u \ (L(x,y,z) * (x \ u)),w). [para(2674(a,1),1590(a,1,2,2,1))]. 2680 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(1191,a,2673,a)]. 2684 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(880,a,2680,a),flip(a)]. 2687 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(5(a,1),2684(a,1,1)),flip(a)]. 2688 a(L(x \ 1,x,y),z,u) = a(y \ (y / x),z,u). [hyper(1422,a,1122,a),flip(a)]. 2690 x * ((y \ L(y,z,u)) * T((y \ L(y,z,u)) \ (x \ (x * L(y,z,u))),x * L(y,z,u))) = T(x * L(y,z,u),L(y \ 1,L(y,z,u),x)). [hyper(280,a,1903,a,b,1663,a)]. 2691 L((x \ 1) \ y,x \ 1,T(x,z) * x) = T(x,z) \ ((T(x,z) * x) * y). [para(1515(a,1),2060(a,1,2))]. 2692 L((x \ 1) \ y,x \ 1,x * T(x,z)) = T(x,z) \ ((T(x,z) * x) * y). [para(228(a,1),2691(a,1,3))]. 2694 L((x \ 1) \ y,x \ 1,x * T(x,z)) = T(x,z) \ ((x * T(x,z)) * y). [para(228(a,1),2692(a,2,2,1))]. 2695 (x * (y \ 1)) \ T((x * (y \ 1)) * z,u) = (y * (x \ 1)) * T((y * (x \ 1)) \ z,u). [para(298(a,1),1457(a,1,2,1,1)),flip(a)]. 2696 (x * (y \ 1)) \ T((x * (y \ 1)) * z,u) = y * ((x \ 1) * T((x \ 1) \ (y \ z),u)). [hyper(280,a,1343,a(flip),b,2695,a),flip(a)]. 2697 (x * (y \ 1)) \ T((x * (y \ 1)) * z,u) = y * (x \ T(x * (y \ z),u)). [para(1360(a,1),2696(a,2,2))]. 2698 (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(1819(a,1),1559(a,1,1))]. 2699 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1832(a,1),2698(a,1,2))]. 2700 a(x,T(y,x),R(T(x,y),z,u)) != w | a(R(x,z,u),y,x) = w. [para(2699(a,1),823(a,1))]. 2702 R(R(x,y,z),y * z,K(u,u \ 1)) = ((x * y) * ((z \ 1) \ 1)) / (y * ((z \ 1) \ 1)). [para(1701(a,1),1892(a,1,2)),flip(a)]. 2703 R(R(x,y,z),y * z,K(u,u \ 1)) = R(x,y,(z \ 1) \ 1). [hyper(280,a,15,a,b,2702,a),flip(a)]. 2704 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(458,a,2703,a),flip(a)]. 2706 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(2704(a,1),96(a,1,1))]. 2707 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(2706(a,1),39(a,1))]. 2708 L(x * (y / x),z,u) \ (x * ((y / x) * x)) = x * ((L(x * (y / x),z,u) * (x / y)) \ x). [para(857(a,1),1939(a,1,2))]. 2709 K(x \ 1,x) * R(K(y \ 1,y) \ z,u,w) = (v5 \ 1) * (v5 * R(v5 \ ((v5 \ 1) \ z),u,w)). [para(394(a,2),2137(a,1,2,1,1))]. 2710 L(x,y,z) \ (L(x,y,z) / (x \ L(x,u,w))) = L(x,y,z) \ ((L(x,y,z) / L(x,u,w)) * x). [hyper(319,a,2240,a)]. 2712 ((x * (y * (y \ 1))) / (y \ 1)) \ (x * y) = (x * y) \ (((x * y) * y) * (y \ 1)). [para(724(a,1),2348(a,1,2,1)),flip(a)]. 2713 (x * y) \ (((x * y) * y) * (y \ 1)) = (x / (y \ 1)) \ (x * y). [para(62(a,1),2712(a,1,1,1)),flip(a)]. 2714 a(x * y,y,y \ 1) = (x / (y \ 1)) \ (x * y). [hyper(1159,a,2713,a)]. 2715 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(81(a,1),2544(a,1,1))]. 2716 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(81(a,1),2715(a,1,2,1,1))]. 2717 x * ((L(x * (y / x),z,u) * (x / y)) \ x) = L(x * (y / x),z,u) \ (x * y). [para(7(a,1),2708(a,1,2,2)),flip(a)]. 2718 K(x \ 1,x) * R(K(y \ 1,y) \ (z * u),w,v5) = ((u \ 1) * R((u \ 1) \ z,w,v5)) * u. [hyper(280,a,2259,a(flip),b,2709,a),flip(a)]. 2720 L(x,y,z) \ (L(x,y,z) / (x \ L(x,u,w))) = (L(x,y,z) \ (L(x,y,z) / L(x,u,w))) * x. [hyper(280,a,1229,a(flip),b,2710,a),flip(a)]. 2721 K(x \ 1,x) * R(K(y \ 1,y) \ (z * u),w,v5) = (u \ R(u * z,w,v5)) * u. [para(1984(a,1),2718(a,2,1))]. 2722 K(x \ 1,x) * R(K(y,y \ 1) * (z * u),w,v5) = (u \ R(u * z,w,v5)) * u. [para(1704(a,1),2721(a,1,2,1))]. 2723 K(x \ 1,x) * R(y * T(z,z \ 1),u,w) = (z \ R(z * y,u,w)) * z. [para(1741(a,1),2722(a,1,2,1))]. 2724 R(K(x \ 1,x) * (y * T(z,z \ 1)),u,w) = (z \ R(z * y,u,w)) * z. [hyper(58,a,2352,a,b,2723,a)]. 2725 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(1742(a,1),2724(a,1,1)),flip(a)]. 2726 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(5(a,1),2725(a,1,1,2,1)),flip(a)]. 2727 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(604(a,1),2726(a,2,1,2))]. 2728 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(681(a,1),2726(a,2,1,2))]. 2729 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(2726(a,2),1444(a,1,1))]. 2730 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(2727(a,1),1441(a,1,1))]. 2731 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(112,a,2728,a(flip),b,682,a),flip(a)]. 2732 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(58,a,2395,a(flip),b,2731,a)]. 2733 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(1050(a,1),2732(a,1,2))]. 2734 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(58,a,2334,a,b,2733,a)]. 2735 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(1440,a,2734,a)]. 2736 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(58,a,2174,a(flip),b,2735,a),flip(a)]. 2737 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(124,a,2736,a)]. 2738 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(2736(a,1),237(a,1,1)),flip(b)]. 2740 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(258,a,2729,a),flip(a)]. 2741 ((L(x,y,z) \ (L(x,y,z) / L(x,u,w))) * x) * (L(x,y,z) * (x \ L(x,u,w))) = T(L(x,y,z),x \ L(x,u,w)). [para(2720(a,1),1081(a,2,1)),flip(a)]. 2742 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(w \ 1,w) = a(x,y,z * K(u \ 1,u)). [hyper(1877,a,1412,a)]. 2747 (x * (K(y,y \ 1) * (z * u))) \ ((K(w,w \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(564(a,1),1769(a,1,1,2))]. 2750 (x * (K(y,y \ 1) * (z * u))) \ (K(w,w \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(564(a,1),2747(a,1,2))]. 2751 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(w,w \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(1552,a,2750,a)]. 2754 a(x,K(y,y \ 1) * z,u) = (((x * (z * u)) \ ((x * z) * u)) * K(w \ 1,w)) * K(v5,v5 \ 1). [para(1771(a,1),2751(a,1,1)),flip(a)]. 2755 a(x,K(y,y \ 1) * z,u) = (a(x,z,u) * K(w \ 1,w)) * K(v5,v5 \ 1). [para(9(a,2),2754(a,2,1,1))]. 2756 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(1454(a,1),2663(a,2,2))]. 2757 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2659(a,1),2756(a,1,2,1,2))]. 2758 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(17(a,2),2757(a,1,2,1))]. 2759 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(2554(a,1),2758(a,1,2,1)),flip(a)]. 2760 (L(x \ 1,x,y) \ 1) \ (L(x \ 1,x,y) \ y) = ((y / x) \ y) * ((L(x \ 1,x,y) \ 1) \ y). [para(3(a,1),2062(a,2,1,2))]. 2761 (L(x \ 1,x,y) \ 1) \ (L(x \ 1,x,y) \ y) != z | x * ((L(x \ 1,x,y) \ 1) \ y) = z. [para(2760(a,2),673(a,1))]. 2762 (x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = L(x,y,z) \ (L(x,u,w) * (x \ L(x,y,z))). [hyper(280,a,2674,a(flip),b,2307,a),flip(a)]. 2764 (x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = x \ (L(x,y,z) \ (L(x,u,w) * L(x,y,z))). [hyper(280,a,1944,a(flip),b,2762,a),flip(a)]. 2765 (x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = x \ T(L(x,u,w),L(x,y,z)). [para(17(a,2),2764(a,2,2))]. 2766 (x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = x \ L(T(x,L(x,y,z)),u,w). [para(20(a,2),2765(a,2,2))]. 2767 (x \ L(x,y,z)) \ ((L(x,u,w) \ x) \ (x \ L(x,y,z))) = x \ L(x,u,w). [para(161(a,1),2766(a,2,2,1))]. 2768 (L(x,y,z) \ L(x,u,w)) * (x \ L(x,y,z)) = x \ L(x,u,w). [para(2767(a,1),2308(a,1,2))]. 2770 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(6(a,1),1381(a,1,1,1))]. 2772 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)). [para(86(a,1),1622(a,1,2,1,1))]. 2773 (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * ((y * z) * T((y * z) \ y,u)). [hyper(1348,a,2772,a),flip(a)]. 2774 (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * (y * (z * T(z \ 1,u))). [para(1340(a,1),2773(a,2,2))]. 2775 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(560,a,2774,a),flip(a)]. 2776 (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(280,a,558,a(flip),b,2264,a),flip(a)]. 2777 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(225(a,1),2776(a,2,2))]. 2778 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * ((y \ z) * T((y \ z) \ 1,z))) * z. [para(1340(a,1),2329(a,1,1)),flip(a)]. 2779 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * (y \ ((z \ y) * z))) * z. [para(1380(a,1),2778(a,2,1,2))]. 2780 (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * K(z \ y,z)) * z. [para(81(a,1),2779(a,2,1,2))]. 2781 (x * (y \ z)) * L((z \ T(y,y \ z)) * z,y \ z,x) = (x * K(z \ y,z)) * z. [para(1308(a,2),2780(a,1,2))]. 2782 x * ((y \ z) * ((z \ T(y,y \ z)) * z)) = (x * K(z \ y,z)) * z. [hyper(263,a,2781,a)]. 2783 (x * K(y \ z,y)) * y = x * (y * K(y \ z,y)). [para(2570(a,1),2782(a,1,2)),flip(a)]. 2784 x * (y * K(y \ (y * z),y)) = (x * K(z,y)) * y. [para(4(a,1),2783(a,1,1,2,1)),flip(a)]. 2785 (x * K(y,z)) * z = x * (z * K(y,z)). [para(4(a,1),2784(a,1,2,2,1)),flip(a)]. 2786 R(x,K(y,z),z) = x. [hyper(2572,a,2785,a)]. 2787 (x * y) / (y * K(z,y)) = x / K(z,y). [hyper(676,a,2785,a)]. 2790 (x * (y * K(z,y))) \ ((x * (y * K(z,y))) * y) = L(y,K(z,y),x). [para(2785(a,1),2574(a,1,1))]. 2791 (x * y) \ ((y * x) * x) = K(y,x) * x. [para(2786(a,1),615(a,1,1))]. 2792 (x * y) / x = K(x,y) * y. [hyper(1973,a,2791,a)]. 2793 K(x,y) = ((x * y) / x) / y. [hyper(112,a,1969,a(flip),b,2791,a(flip)),flip(a)]. 2794 (x * y) / x = y * K(x,y). [hyper(280,a,2558,a(flip),b,2792,a),flip(a)]. 2795 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(112,a,1434,a,b,2792,a(flip))]. 2796 K(x,x \ y) * (x \ y) = y / x. [para(5(a,1),2792(a,1,1)),flip(a)]. 2797 T(K(x,y) * y,x) = y. [para(2792(a,1),212(a,1,1))]. 2798 (x * y) / x != z | y * K(x,y) = z. [para(2792(a,2),2559(a,1))]. 2800 T(x * K(y,x),y) = x. [para(2558(a,1),2797(a,1,1))]. 2801 T(x,y) = x * K(y \ x,x). [hyper(971,a,2800,a)]. 2802 x * K(y,x) = y * (x / y). [hyper(948,a,2800,a),flip(a)]. 2803 (x \ y) * K(x,x \ y) = y / x. [hyper(235,a,2800,a),flip(a)]. 2804 x * K(R(x,y,z),x) = x. [hyper(202,a,2800,a),flip(a)]. 2805 T(x,y) * K(y,T(x,y)) = x. [hyper(44,a,2800,a)]. 2806 x / (x / y) = y * K(x / y,y). [hyper(35,a,230,a,b,2800,a)]. 2807 x \ (y * K(x,y)) = y / x. [hyper(112,a,2800,a(flip),b,898,a(flip)),flip(a)]. 2808 T(T(x * K(y,x),z),y) = T(x,z). [para(2800(a,1),18(a,1,1)),flip(a)]. 2809 (x * K(y,x)) * y = y * x. [para(2800(a,1),101(a,1,2)),flip(a)]. 2810 T(x * K(y,x),z) * y = y * T(x,z). [para(2800(a,1),223(a,1,2,1)),flip(a)]. 2811 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(2800(a,1),224(a,1,2,1)),flip(a)]. 2812 T(x,y * K(x,y)) = T(x,y). [para(2800(a,1),770(a,1,2)),flip(a)]. 2813 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(2800(a,1),773(a,1,2,1)),flip(a)]. 2814 L(x * K(y,x),z,x * K(y,x)) = L(x * K(y,x),u,x). [para(2800(a,1),864(a,1,3)),flip(a)]. 2815 T(x \ K(y,x \ 1),y) = x \ 1. [para(2650(a,1),2800(a,1,1))]. 2816 K(R(x,y,z),x) = 1. [hyper(114,a,2804,a),flip(a)]. 2818 K(x,y) / (1 / y) = (x * (1 / (1 / y))) / x. [hyper(112,a,2793,a,b,1986,a)]. 2820 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(1339,a,2794,a)]. 2821 K(x,1 / y) / y = (x * (1 / y)) / x. [hyper(280,a,2662,a(flip),b,2794,a)]. 2822 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(53,a,2794,a)]. 2824 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(2794(a,1),97(a,1,1))]. 2825 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(2794(a,2),585(a,1,2))]. 2826 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(2794(a,1),748(a,2,1)),flip(a)]. 2827 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(2794(a,1),1197(a,1,1))]. 2828 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(2794(a,1),1202(a,1,1))]. 2829 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(2794(a,2),79(a,1,2))]. 2830 (x \ y) * (x * K(y,x)) = T((x \ y) * x,x). [para(2794(a,1),1980(a,2,2)),flip(a)]. 2831 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(2794(a,1),2053(a,2,1,2))]. 2832 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(2193(a,1),2794(a,1,1))]. 2833 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(2267(a,1),2794(a,1,1))]. 2834 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(2290(a,1),2794(a,1,1))]. 2835 ((x * y) / x) \ K(x,y) = y \ 1. [para(2794(a,2),2658(a,1,1))]. 2836 (x * y) / ((z * y) / z) = x / K(z,y). [para(2794(a,2),2787(a,1,2))]. 2838 T(x,y \ x) = x * K(y,x). [hyper(280,a,974,a,b,2802,a)]. 2839 K(x,y / x) = K(x,y). [hyper(627,a,2802,a(flip))]. 2840 K(x,y * x) = K(x,y). [para(6(a,1),2839(a,1,2)),flip(a)]. 2841 T(x * y,K(y,x)) = x * y. [para(2840(a,1),2554(a,1,2))]. 2842 T(x,K(y,x * y)) = x. [para(2840(a,2),2554(a,1,2))]. 2843 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(2809(a,1),1086(a,1,1,2))]. 2844 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(2809(a,1),597(a,1,1,1))]. 2845 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(2650(a,1),2809(a,1,1))]. 2846 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(2812(a,1),2005(a,2,2))]. 2847 T(x,y) * (x \ y) = y * K(x,y). [hyper(1038,a,2838,a)]. 2848 T(x,y \ x) = K(y,x) * x. [hyper(280,a,2558,a,b,2838,a),flip(a)]. 2849 T(x,y) \ (y * K(x,y)) = x \ y. [hyper(111,a,2838,a(flip),b,922,a)]. 2850 K((x \ y) \ y,y) = K(x,y). [hyper(29,a,2801,a(flip),b,2838,a(flip))]. 2851 T(x,y \ x) != x * z | K(y,x) = z. [para(2838(a,2),38(a,1))]. 2852 K(x,y) = (x * y) / (y * x). [para(2841(a,1),276(a,1,2)),flip(a)]. 2853 K(T(x,y),y) = K(x,y). [hyper(58,a,2455,a(flip),b,2850,a)]. 2854 K(x / y,x) = K(y \ x,x). [para(70(a,1),2850(a,1,1,1)),flip(a)]. 2855 K(x \ (y * x),x) = K(y,x). [para(17(a,1),2853(a,1,1))]. 2856 K(x / y,y) = K(y \ x,y). [para(103(a,1),2853(a,1,1)),flip(a)]. 2857 K(x * y,y) = K(y * x,y). [para(897(a,1),2853(a,1,1))]. 2858 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(718(a,1),2853(a,1,1))]. 2859 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(2853(a,1),2794(a,2,2))]. 2860 K(x,y) * (y * x) = x * y. [hyper(124,a,2852,a(flip))]. 2861 ((x \ y) * x) / y = K(x \ y,x). [para(5(a,1),2852(a,2,2)),flip(a)]. 2862 K(x \ y,x) * y = (x \ y) * x. [para(2852(a,2),283(a,1,1))]. 2863 (x * y) * ((K(x,y) * z) \ (x * y)) = ((x * y) / z) * (y * x). [para(2852(a,2),181(a,1,2,1,1))]. 2864 (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (x * y). [para(2852(a,2),1098(a,1,2,1,2))]. 2865 K(x,y / x) * y = x * (y / x). [para(7(a,1),2860(a,1,2))]. 2867 (1 / (x \ y)) * (y / x) = K(x,x \ y). [para(2803(a,1),2649(a,1,2))]. 2868 x / (x / y) = y * K(y \ x,y). [para(2856(a,1),2806(a,2,2))]. 2869 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(35,a,2800,a,b,2808,a)]. 2870 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(35,a,2797,a,b,2808,a)]. 2871 T(T(T(x,y \ x),z),y) = T(x,z). [para(2838(a,2),2808(a,1,1,1))]. 2872 x * (y * K(x,y)) = T(x,y) * y. [para(2847(a,1),1626(a,1,2))]. 2873 T(x \ y,y) \ (y * K(x \ y,y)) = T(x,y). [hyper(280,a,411,a,b,2849,a),flip(a)]. 2875 T(K(x \ y,x),y) = K(x \ y,x). [hyper(226,a,2862,a,b,273,a)]. 2876 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(2862(a,1),1872(a,2,2))]. 2877 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(280,a,2794,a,b,2868,a)]. 2878 T(x * K(x \ y,x),y) = L(x,z,x). [para(2868(a,1),847(a,1,1))]. 2879 T(x / (x / y),y \ x) = y. [para(2868(a,2),2800(a,1,1))]. 2881 T(x,y) != T(z,u) | T(T(z,y \ z),u) = x. [para(2871(a,1),44(a,2)),flip(b)]. 2882 T(x,y) = x * K(x,y). [hyper(30,a,2785,a,b,2872,a(flip)),flip(a)]. 2883 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(2872(a,1),15(a,2,2)),flip(a)]. 2884 T(x,x \ y) * (x \ y) = x * (y / x). [para(2803(a,1),2872(a,1,2)),flip(a)]. 2885 x * T(x \ 1,y) = K(x \ 1,y). [hyper(1243,a,2882,a)]. 2886 K(x \ y,x) = K(y,x). [hyper(985,a,2882,a)]. 2887 K(x,y) = T(x,y) / x. [hyper(473,a,2882,a),flip(a)]. 2888 T(x,y) = K(x,y) * x. [hyper(280,a,2481,a,b,2882,a),flip(a)]. 2889 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(112,a,2882,a,b,74,a)]. 2890 K(x,y) = x \ T(x,y). [hyper(111,a,2882,a,b,xx),flip(a)]. 2891 T(x,L(y,z,y)) = x * K(x,y). [hyper(58,a,1527,a,b,2882,a)]. 2892 L(T(x,y),z,u) \ L(T(T(x,w),y),z,u) = K(L(T(x,y),z,u),w). [hyper(111,a,104,a,b,2882,a(flip))]. 2893 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [hyper(111,a,22,a,b,2882,a(flip))]. 2894 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [hyper(111,a,20,a,b,2882,a(flip))]. 2895 K(x,L(x,y,z) * u) = x \ T(x,x * u). [hyper(111,a,2159,a(flip),b,2882,a(flip)),flip(a)]. 2896 K(x,y \ x) = K(y,x). [hyper(29,a,2838,a(flip),b,2882,a(flip)),flip(a)]. 2897 K(x \ y,y) = K(y,x). [hyper(29,a,2801,a(flip),b,2882,a(flip))]. 2898 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(2882(a,2),15(a,2,2)),flip(a)]. 2899 T(x,y) != x * z | K(x,y) = z. [para(2882(a,2),38(a,1))]. 2900 x \ T(x,y) != z | K(x,y) = z. [para(2882(a,2),265(a,1,2)),flip(b)]. 2901 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(2882(a,2),1575(a,2,2,1))]. 2902 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(2448(a,1),2882(a,2,2)),flip(a)]. 2903 x * K(R(x,y,x),z) = T(x,z). [para(2453(a,2),2882(a,2,2)),flip(a)]. 2904 x * K(T(x,y),y) = T(x,y). [para(2853(a,2),2882(a,2,2)),flip(a)]. 2905 K(x \ y,x) = a(z,u,z) \ K(y,x). [hyper(280,a,860,a,b,2886,a),flip(a)]. 2906 K(x / y,y) = K(x,y). [hyper(58,a,2856,a,b,2886,a)]. 2907 K(x * y,y) = K(x,y). [hyper(58,a,2855,a(flip),b,2886,a),flip(a)]. 2908 K(x * y,x) = K(y,x). [hyper(58,a,2460,a(flip),b,2886,a),flip(a)]. 2909 K(L(x \ 1,x,y),y) = K(y / x,y). [para(336(a,2),2886(a,1,1))]. 2910 K(x,y) = (1 / x) * T(x,y). [hyper(280,a,2020,a,b,2887,a),flip(a)]. 2911 T(x,y) = (1 / x) \ K(x,y). [hyper(111,a,2887,a,b,2020,a),flip(a)]. 2912 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(111,a,2887,a,b,1242,a(flip))]. 2913 T(1 / x,y) * x = K(x \ 1,y). [hyper(1338,a,2887,a(flip))]. 2914 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [para(22(a,2),2887(a,2,1)),flip(a)]. 2915 K(x,y) * x != z | T(x,y) = z. [para(2887(a,2),237(a,1,1)),flip(b)]. 2916 x * K(x,y) != z | T(x,y) = z. [para(2887(a,2),467(a,1,2))]. 2917 K(x,y) != z | x \ T(x,y) = z. [para(2887(a,2),469(a,1))]. 2919 T(1 / (1 / x),y) = K(x,y) / (1 / x). [para(2887(a,2),2042(a,1,1)),flip(a)]. 2920 K(x / y,y) * (x / y) = y \ x. [hyper(352,a,2888,a),flip(a)]. 2921 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(58,a,20,a,b,2888,a),flip(a)]. 2922 (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). [para(2888(a,2),13(a,2,2,2)),flip(a)]. 2923 x * (K(y,x) * y) = y * x. [para(2888(a,1),101(a,1,2))]. 2925 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(2888(a,2),219(a,1,1))]. 2926 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(2888(a,2),1186(a,1,2))]. 2927 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(2888(a,2),822(a,1,1))]. 2928 ((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(2888(a,2),2128(a,1,2,1))]. 2929 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [para(2888(a,2),2268(a,1,1)),flip(a)]. 2930 (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. [para(2888(a,2),2432(a,2,1,1))]. 2931 T(x,y) != z | x * K(x,y) = z. [para(2888(a,2),2480(a,1))]. 2932 K(x,y) * T(x,y) = T(T(x,y),y). [para(2853(a,1),2888(a,2,1)),flip(a)]. 2933 K(x,y) = T(x,y) * (x \ 1). [hyper(280,a,1513,a,b,2890,a),flip(a)]. 2934 ((x * y) / x) / y = x \ T(x,y). [hyper(58,a,2793,a(flip),b,2890,a)]. 2935 K(x,y) != x \ z | T(x,y) = z. [para(2890(a,2),42(a,1))]. 2937 K(x,y) != z | T(x,y) / x = z. [para(2890(a,2),474(a,1))]. 2938 T(x,y) / (x \ (z * T(x,y))) = (z \ T(x,y)) / K(x,y). [para(2890(a,2),800(a,1,2)),flip(a)]. 2940 K(x / y,x) = K(x,y). [para(70(a,1),2896(a,1,2)),flip(a)]. 2941 K(x,x \ (y * (z \ x))) = K(z * (y \ x),x). [para(370(a,1),2896(a,1,2))]. 2942 T(x \ y,K(x,y)) = x \ y. [para(2896(a,1),2554(a,1,2))]. 2943 K(x,(y \ x) \ x) = K(x,y). [hyper(58,a,2896,a,b,2897,a)]. 2944 K(x,x / y) = K(y,x). [hyper(58,a,2462,a(flip),b,2897,a),flip(a)]. 2945 R(x,K(y,z),y) = x. [para(2897(a,1),2786(a,1,2))]. 2946 a(x,y,x) \ K(z * u,z) = K(u,z). [hyper(58,a,860,a,b,2908,a)]. 2947 K(x,x / y) = K(x,y \ x). [hyper(280,a,2896,a,b,2944,a),flip(a)]. 2948 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(1264(a,1),2910(a,2,1)),flip(a)]. 2949 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(111,a,2933,a,b,101,a),flip(a)]. 2950 K(1 / x,y) / x = T(1 / x,y). [hyper(311,a,2933,a(flip))]. 2952 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(2933(a,2),562(a,1,2,2))]. 2953 K(x,T(y,x)) = K(x,y). [para(411(a,2),2943(a,1,2))]. 2954 K(x,x \ (y * x)) = K(x,y). [para(17(a,1),2953(a,1,2))]. 2955 K(x,y / x) = K(x,x \ y). [para(103(a,1),2953(a,1,2)),flip(a)]. 2956 K(x * y,T(x,y)) = K(x * y,x). [para(435(a,1),2953(a,1,2))]. 2957 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(232(a,1),2953(a,1,2)),flip(a)]. 2958 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(234(a,1),2953(a,1,2)),flip(a)]. 2959 K(x,y * x) = K(x,x * y). [para(897(a,1),2953(a,1,2))]. 2960 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(915(a,1),2953(a,1,2))]. 2961 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(926(a,1),2953(a,1,2))]. 2962 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(2224(a,1),2953(a,1,2))]. 2963 T(x,y) * K(y,x) = x. [para(2953(a,1),2805(a,1,2))]. 2964 K(x,y) * T(y,x) = y. [hyper(2576,a,2963,a)]. 2965 T(x,y) = x / K(y,x). [hyper(123,a,2963,a),flip(a)]. 2966 K(x,y) = T(y,x) \ y. [hyper(115,a,2963,a),flip(a)]. 2967 K(x,y) = y / T(y,x). [hyper(112,a,2963,a(flip),b,2560,a(flip)),flip(a)]. 2968 T(x,y) = K(y,x) \ x. [hyper(111,a,2963,a(flip),b,2560,a(flip)),flip(a)]. 2969 T(x,y) \ x != z | K(y,x) = z. [para(2963(a,1),265(a,1,2)),flip(b)]. 2971 x / T(x,y) != z | K(y,x) = z. [para(2964(a,1),287(a,1,1))]. 2972 x * ((T(x,y) * z) \ x) = (x / z) * K(y,x). [para(2965(a,2),181(a,1,2,1,1))]. 2973 K(x,y) = (1 / T(y,x)) * y. [hyper(280,a,2037,a,b,2966,a),flip(a)]. 2974 K(x,y) = y * (T(y,x) \ 1). [hyper(280,a,1629,a,b,2966,a),flip(a)]. 2975 K(x,x \ y) = K(x,y). [hyper(280,a,941,a,b,2966,a)]. 2976 T(T(x,y),z) \ T(x,z) = K(y,T(x,z)). [hyper(280,a,142,a,b,2966,a)]. 2977 K(x,y) / y = 1 / T(y,x). [hyper(112,a,2966,a,b,2037,a)]. 2978 T(x,y) \ 1 = x \ K(y,x). [hyper(111,a,2966,a,b,1629,a),flip(a)]. 2980 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(20(a,2),2966(a,2,1)),flip(a)]. 2981 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(22(a,2),2966(a,2,1)),flip(a)]. 2982 K(x,y) != z \ y | T(y,x) = z. [para(2966(a,2),43(a,1))]. 2983 T(T(x,y),z) \ T(x,z) = K(y / x,T(x,z)). [para(762(a,1),2966(a,2,1)),flip(a)]. 2984 x / (T(x,y) * (z \ x)) = (z * K(y,x)) / x. [para(2966(a,2),692(a,1,1,2)),flip(a)]. 2985 (x * y) \ (y * x) = K(y,y * x). [para(897(a,1),2966(a,2,1)),flip(a)]. 2987 x * ((y * (T(x,z) * x)) \ x) = (x \ K(z,x)) * (y \ x). [para(2967(a,2),1003(a,1,1,2)),flip(a)]. 2988 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(2968(a,2),2716(a,1,2,1))]. 2989 K(x,x * y) = K(x,y). [para(4(a,1),2975(a,1,2)),flip(a)]. 2990 T(x,K(y,y \ x)) = x. [para(2975(a,2),2554(a,1,2))]. 2991 x * K(y,y \ x) = y * (x / y). [para(2975(a,2),2802(a,1,2))]. 2992 K(x,y) * (x \ y) = y / x. [para(2975(a,1),2796(a,1,1))]. 2993 (x \ y) * K(x,y) = y / x. [para(2975(a,1),2803(a,1,2))]. 2994 K(x,x \ y) * y = x * (y / x). [para(2955(a,1),2865(a,1,1))]. 2995 K(x \ 1,x) * K(y,z) = (T(z,y) \ 1) * z. [para(2973(a,2),1683(a,1,2))]. 2996 K(x,y) * K(z \ 1,z) = (T(y,x) \ 1) * y. [para(2973(a,2),1717(a,1,1))]. 2998 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(2974(a,2),87(a,1,2,2)),flip(a)]. 2999 T(x,y) = (K(y,x) / x) \ 1. [hyper(175,a,2977,a(flip)),flip(a)]. 3001 T(1 / (1 / x),y) = 1 / (K(y,x) / x). [para(2977(a,2),752(a,1,2)),flip(a)]. 3002 T(x,y) = 1 / (x \ K(y,x)). [hyper(183,a,2978,a),flip(a)]. 3003 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(2978(a,1),288(a,1,2))]. 3004 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(2978(a,1),2535(a,1,2,1))]. 3006 K(L(x,y,z) * (z * y),x * (z * y)) * a(z,y,T(x,z * y)) = (x * (z * y)) / (L(x,y,z) * (z * y)). [para(2054(a,1),2992(a,1,2))]. 3007 (x / y) * T((y \ x) \ (L(K(y,x),z,u) * (K(y,x) \ (y \ x))),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(2992(a,1),2593(a,1,1))]. 3009 (((x * (y * z)) / z) \ (x * y)) * K(x * y,((x * y) / L(z,y,x)) * z) = (((x * y) / L(z,y,x)) * z) / (x * y). [para(2219(a,1),2993(a,1,1))]. 3010 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(20(a,2),2900(a,1,2))]. 3011 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(835(a,2),2900(a,1,2))]. 3015 T(x,L(y,z,y)) != u | T(x,y) = u. [para(2891(a,2),2916(a,1))]. 3018 K(x,x \ y) != z | K(x,y) = z. [para(941(a,2),2969(a,1))]. 3019 x \ y != (z * y) / (y * z) | T(y,z) = x. [para(2852(a,1),2982(a,1)),flip(a)]. 3020 K(x,y) != z | K(x,x * y) = z. [para(4(a,1),3018(a,1,2))]. 3021 K(x * y,L(z,y,x)) != u | K(x * y,x * (y * z)) = u. [para(13(a,2),3018(a,1,2))]. 3022 K(x * y,L(T(z,y),y,x)) != u | K(x * y,x * (z * y)) = u. [para(219(a,1),3018(a,1,2))]. 3023 K(L(x,y,z) * (z * y),a(z,y,T(x,z * y))) != u | K(L(x,y,z) * (z * y),x * (z * y)) = u. [para(2054(a,1),3018(a,1,2))]. 3024 K(x,y * x) != z | K(x,x * y) = z. [para(2840(a,2),3020(a,1))]. 3025 ((x \ y) * x) / y = T(K(x \ y,x),y). [hyper(280,a,2861,a,b,2875,a)]. 3026 K(x \ (x / y),x) = K(y \ 1,x). [hyper(1799,a,2885,a)]. 3027 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(1354,a,2885,a)]. 3028 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(58,a,2775,a(flip),b,2885,a)]. 3029 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(58,a,2333,a(flip),b,2885,a)]. 3030 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(58,a,2044,a(flip),b,2885,a)]. 3031 K(x \ 1,y) != z | T(x \ 1,y) * x = z. [para(2885(a,1),1120(a,1))]. 3032 (x * y) * T(x \ (x / y),z) = x * K(y \ 1,z). [para(2885(a,1),1341(a,2,2))]. 3033 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(2885(a,1),1362(a,2,2))]. 3034 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(2885(a,1),1952(a,1,2)),flip(a)]. 3035 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(2885(a,1),2011(a,1,1))]. 3036 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(2885(a,1),2317(a,2,1))]. 3037 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(2885(a,1),2322(a,2,1))]. 3038 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(2885(a,1),2365(a,1,1)),flip(a)]. 3040 K(x,y) * (x / y) = y \ x. [para(2906(a,1),2920(a,1,1))]. 3041 x \ ((y * x) / y) = y \ T(y,x). [hyper(58,a,510,a(flip),b,2934,a)]. 3042 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(2934(a,1),585(a,1,1,1))]. 3043 K(x,x * y) != z | K(x,y) = z. [para(2985(a,1),277(a,1))]. 3044 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [hyper(111,a,1105,a,b,2991,a)]. 3045 (x * (y * z)) * (((x * y) * z) / (x * (y * z))) = ((x * y) * z) * K(x * (y * z),a(x,y,z)). [para(9(a,2),2991(a,1,2,2)),flip(a)]. 3046 x * (y / x) != y * z | K(x,x \ y) = z. [para(2991(a,1),38(a,1))]. 3048 ((x * y) / x) * (y \ 1) = x \ T(x,y). [hyper(58,a,1960,a,b,3041,a)]. 3049 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(2905(a,2),2687(a,1,1))]. 3050 K(L(x \ 1,x,y),y) = K(y,x). [hyper(280,a,2940,a(flip),b,2909,a),flip(a)]. 3051 K(x * y,x) = a(z,u,z) * K(y,x). [hyper(126,a,2946,a),flip(a)]. 3053 K(x * y,x) = K(y,x) * a(z,u,z). [para(2946(a,1),867(a,1,1)),flip(a)]. 3055 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(3051(a,2),2105(a,1,3))]. 3056 K(x * y,x) != z | a(u,w,u) * K(y,x) = z. [para(3053(a,2),967(a,1))]. 3058 K(x,y \ 1) / y = (x * (1 / y)) / x. [para(376(a,1),2821(a,1,1,2))]. 3059 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(238,a,2822,a),flip(a)]. 3061 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(111,a,2826,a,b,2794,a(flip))]. 3062 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(2826(a,2),268(a,1,1))]. 3063 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(2826(a,2),2798(a,1))]. 3064 (x / ((y * z) / y)) * z = x / K(y,z). [hyper(58,a,2053,a(flip),b,2836,a)]. 3065 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [para(2845(a,1),66(a,1,2,1))]. 3066 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(2859(a,1),703(a,1,1,1))]. 3068 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * ((z \ x) * (((z \ x) \ u) * K(y,(z \ x) \ u))). [para(2859(a,1),2064(a,1,2,2)),flip(a)]. 3072 ((x \ y) * x) * x = y * (y / (y / x)). [para(2877(a,1),1972(a,1,2)),flip(a)]. 3073 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(5(a,1),2960(a,1,2,1)),flip(a)]. 3074 K(x,y) / (1 / x) = 1 / (K(y,x) / x). [hyper(58,a,2919,a(flip),b,3001,a)]. 3075 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3048(a,1),562(a,1,1))]. 3076 L(L(x,y,K(z,u)),w,R(a(v5,v6,v5),v7,v8)) = L(x,y,K(u * z,u)). [hyper(280,a,1241,a,b,3055,a)]. 3077 ((x * (1 / y)) / x) * y = K(x,y \ 1). [hyper(124,a,3058,a)]. 3078 K(x,1 / y) = K(x,y \ 1). [hyper(32,a,2821,a,b,3058,a)]. 3079 K(x,(y \ 1) \ 1) = K(x,y). [para(67(a,1),3078(a,1,2)),flip(a)]. 3080 K(x,T(y,y \ 1)) = K(x,y). [para(102(a,2),3079(a,1,2))]. 3081 K(x,T(y,1 / y)) = K(x,y). [para(755(a,2),3079(a,1,2))]. 3082 K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). [para(790(a,2),3079(a,1,2))]. 3083 K(x,R(y,z,y)) = K(x,y). [para(905(a,2),3079(a,1,2))]. 3084 K(x,K(y \ 1,y) * z) = K(x,z). [para(1686(a,2),3079(a,1,2))]. 3085 K(x,y * K(z,z \ 1)) = K(x,y). [para(1690(a,2),3079(a,1,2))]. 3086 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(2069(a,2),3079(a,1,2))]. 3087 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(904(a,1),3083(a,1,2))]. 3088 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(910(a,1),3083(a,1,2))]. 3089 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(979(a,2),3083(a,1,2))]. 3090 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(1145(a,2),3084(a,1,2))]. 3091 K(x,((y \ 1) \ 1) * z) = K(x,y * z). [para(1469(a,1),3084(a,1,2)),flip(a)]. 3092 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(1494(a,1),3084(a,1,2))]. 3093 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(1500(a,2),3085(a,1,2))]. 3094 K(x,T(y / z,y)) = K(x,z \ y). [para(70(a,1),3088(a,1,2,1)),flip(a)]. 3095 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(910(a,1),3089(a,1,2,1))]. 3096 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(112,a,3059,a(flip),b,2785,a),flip(a)]. 3097 (x * ((y * z) / y)) / K(y,z) = x * z. [para(6(a,1),3064(a,1,1)),flip(a)]. 3099 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(2638,a,3065,a)]. 3100 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(280,a,2890,a(flip),b,3065,a),flip(a)]. 3101 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(111,a,3078,a,b,3065,a)]. 3102 x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1). [hyper(58,a,2398,a(flip),b,3065,a)]. 3103 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(3065(a,1),2191(a,2,1))]. 3104 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(3065(a,1),2375(a,2,2))]. 3106 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(986(a,1),3072(a,1,1,1))]. 3108 K(x,R(y,z,y) * u) = K(x,y * u). [para(905(a,2),3091(a,1,2,1))]. 3109 K(R(x,y,x),R(z,u,z) * w) = K(x,z * w). [hyper(280,a,2453,a(flip),b,3108,a),flip(a)]. 3110 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(905(a,2),3092(a,1,2,1))]. 3111 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(978(a,1),3110(a,1,2,1))]. 3112 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(910(a,1),3110(a,1,2,1))]. 3113 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(5(a,1),3096(a,1,1,2,1))]. 3115 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(3096(a,1),2130(a,2,1,2))]. 3116 (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))). [para(3096(a,1),2396(a,1,2,1))]. 3117 (x * (y * K(z,y))) / K(z,y) = x * y. [para(2794(a,1),3097(a,1,1,2))]. 3118 L(K(x,y),y,z) = K(x,y). [hyper(618,a,3117,a)]. 3119 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(285,a,3117,a),flip(a)]. 3120 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(124,a,3117,a)]. 3122 a(x,y,K(z,y)) = 1. [hyper(48,a,3118,a)]. 3123 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(3118(a,1),25(a,1,1)),flip(a)]. 3124 a(x,y,K(z,y * z)) = 1. [para(2840(a,2),3122(a,1,3))]. 3125 a(x,y,K(y,z)) = 1. [para(2897(a,1),3122(a,1,3))]. 3126 L(K(x,y),x,z) = K(x,y). [hyper(47,a,3125,a)]. 3127 L(K(x,y * x),y,z) = K(x,y * x). [hyper(47,a,3124,a)]. 3128 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(3126(a,1),24(a,1,1)),flip(a)]. 3129 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(3126(a,1),557(a,1,2,1))]. 3130 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(3126(a,1),622(a,1,2,1))]. 3131 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). [para(3126(a,1),1891(a,1,2,2)),flip(a)]. 3132 (x / y) * (z * (y / z)) = x * K(z,y). [para(2802(a,1),3119(a,1,2))]. 3133 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(2803(a,1),3119(a,1,2))]. 3134 x * (y * K(x * y,y)) = T(x * y,y). [hyper(2916,a,3120,a),flip(a)]. 3135 R(x,y,K(z,y)) = x. [hyper(593,a,3120,a)]. 3136 (x * y) * K(z,y) = x * T(y,z \ y). [para(2838(a,2),3120(a,2,2))]. 3137 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(2803(a,1),3120(a,2,2))]. 3139 R(x,y * z,K(z,y)) = x. [para(2840(a,1),3135(a,1,3))]. 3140 R(x,y,K(y,z)) = x. [para(2897(a,1),3135(a,1,3))]. 3141 R(x,y,K(y,z)) != u | u = x. [para(3140(a,1),46(a,1)),flip(a)]. 3142 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(3140(a,1),2777(a,1,1,1))]. 3143 R(x,y,K(z * y,z)) = x. [para(2908(a,2),3140(a,1,3))]. 3144 R(x,y * z,K(z,y)) != u | x = u. [para(3139(a,1),46(a,2))]. 3145 (x * (y * z)) * K(z,y) = x * (z * y). [para(3139(a,1),596(a,1,1)),flip(a)]. 3146 (1 / x) \ K(y * x,y) = x * K(y * x,y). [para(3143(a,1),344(a,1,1))]. 3147 ((x \ y) / y) * (x * (y / x)) = y / x. [hyper(280,a,2993,a(flip),b,3132,a),flip(a)]. 3148 (x \ y) * (z * (x / z)) = T(y,x) * K(z,x). [para(929(a,1),3132(a,1,1))]. 3149 ((x * y) * y) / (x * y) = x \ T(x * y,y). [hyper(111,a,3134,a(flip),b,2822,a),flip(a)]. 3150 (x / (y * z)) * (z * y) = x * K(z,y). [hyper(286,a,3145,a),flip(a)]. 3151 (x * (y * z)) \ (x * (z * y)) = K(z,y). [hyper(115,a,3145,a)]. 3152 T(x,y * z) * K(z,y) = ((y * z) \ x) * (z * y). [para(898(a,2),3145(a,1,1))]. 3153 (x * (y * z)) \ u != K(z,y) | x * (z * y) = u. [para(3151(a,1),42(a,1)),flip(a)]. 3155 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(280,a,2890,a,b,2895,a),flip(a)]. 3156 K(x,L(x,y,z) * u) = K(x,u). [hyper(280,a,2989,a(flip),b,3155,a),flip(a)]. 3157 K(x,(x \ 1) \ y) = K(x,x * y). [para(1067(a,1),3155(a,1,2))]. 3158 K(x,L(x,y,z) * u) != w | K(x,u) = w. [para(3155(a,2),3043(a,1))]. 3159 K(x,L(x,y,z) \ u) = K(x,u). [para(5(a,1),3156(a,1,2)),flip(a)]. 3160 T(L(x,y,z) * u,K(x,u)) = L(x,y,z) * u. [para(3156(a,1),2554(a,1,2))]. 3161 T(T(T(x,y),z),y \ x) != u | T(x,z) = u. [para(2801(a,2),3062(a,1,1,1))]. 3162 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(2805(a,1),3062(a,1,1,1))]. 3163 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [para(3128(a,1),549(a,1,2)),flip(a)]. 3164 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(30,a,2809,a,b,2811,a)]. 3165 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(25(a,1),2811(a,2,2))]. 3166 (K(x,y) / (1 / y)) * x = x * (1 / (1 / y)). [hyper(124,a,2818,a(flip))]. 3167 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(112,a,2827,a,b,2792,a(flip))]. 3168 L(x,y,z) \ L(x * K(u,x),y,z) = K(u,L(x,y,z)). [hyper(111,a,2827,a,b,2794,a(flip))]. 3169 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(280,a,2794,a(flip),b,2828,a)]. 3170 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [hyper(125,a,2828,a)]. 3171 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(111,a,2828,a,b,2794,a(flip))]. 3172 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(2869(a,1),265(a,1,2)),flip(b)]. 3173 T((x * y) * K(z,x * y),x) = (y * x) * K(z,T(x * y,x)). [para(897(a,1),2869(a,1,1)),flip(a)]. 3174 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(2869(a,1),218(a,1,2,2))]. 3175 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(2869(a,1),2872(a,1,2)),flip(a)]. 3176 K(x \ 1,T(x,y)) = K(z \ 1,z). [hyper(30,a,1653,a(flip),b,2870,a),flip(a)]. 3177 T(x \ y,y) \ T(y,x) = T(x,y). [para(2801(a,2),2873(a,1,2))]. 3178 T(a(x,y,z),(x * y) * z) \ T((x * y) * z,x * (y * z)) = T(x * (y * z),(x * y) * z). [para(9(a,2),3177(a,1,1,1))]. 3179 K(x * (y \ z),z) = K(z,y * (x \ z)). [hyper(3018,a,2941,a),flip(a)]. 3180 K(x / y,T(y,z)) = K(x,T(y,z)). [hyper(58,a,2976,a(flip),b,2983,a),flip(a)]. 3181 K(x * y,T(y,z)) = K(x,T(y,z)). [para(6(a,1),3180(a,1,1)),flip(a)]. 3182 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(58,a,2651,a(flip),b,2995,a)]. 3183 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(29,a,1742,a,b,2995,a),flip(a)]. 3184 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [para(3183(a,1),2882(a,2,2)),flip(a)]. 3185 ((T(x,y) \ 1) * x) * T((z \ 1) \ 1,u) = K(y,x) * T(z,u). [para(2996(a,1),1761(a,1,1))]. 3186 T((T(x,y) \ 1) * x,y) = K(z \ 1,z) * K(y,x). [para(2996(a,1),2494(a,1,1))]. 3187 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(1342(a,1),3030(a,1,1))]. 3188 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [para(2390(a,1),3030(a,1,1)),flip(a)]. 3189 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [hyper(2318,a,3034,a)]. 3190 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(58,a,1455,a(flip),b,3034,a),flip(a)]. 3191 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(58,a,1360,a(flip),b,3034,a)]. 3192 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(280,a,3034,a(flip),b,3035,a),flip(a)]. 3193 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(280,a,2390,a(flip),b,3035,a),flip(a)]. 3194 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(280,a,1455,a(flip),b,3035,a),flip(a)]. 3195 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(4(a,1),3035(a,2,2,1))]. 3196 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(67(a,1),3035(a,1,1,1,1))]. 3197 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(58,a,3026,a(flip),b,3038,a)]. 3198 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(70(a,1),3197(a,2,1,1))]. 3199 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(378(a,1),3197(a,2,1,1))]. 3200 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(519(a,1),3198(a,1,1))]. 3201 T(x,y) != K(1 / T(z,y),u) | K(1 / z,u) = x. [para(3200(a,2),44(a,1)),flip(a)]. 3203 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(3061(a,1),239(a,1,2)),flip(b)]. 3204 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(2868(a,2),3061(a,1,2,1))]. 3205 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(1496(a,1),3086(a,1,2,2))]. 3206 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(1489(a,1),3090(a,1,2,1)),flip(a)]. 3207 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(1693(a,1),3093(a,1,2,2))]. 3208 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(1741(a,1),3093(a,1,2,2))]. 3209 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(58,a,2190,a,b,3100,a)]. 3210 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3100(a,1),2639(a,1,1))]. 3211 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [para(423(a,2),3112(a,2,2,1)),flip(a)]. 3214 x * K(y,y \ z) != u * (z / y) | u * (y \ z) = x. [para(3137(a,1),39(a,1)),flip(a)]. 3215 (1 / x) \ K(x * y,y) = x * K(y * x,y). [para(2857(a,2),3146(a,1,2))]. 3216 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(58,a,2822,a,b,3182,a)]. 3217 (x \ 1) * K(y,x) = T(x,y) \ 1. [hyper(30,a,2785,a,b,3182,a(flip))]. 3218 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(3217(a,1),562(a,1,2,2))]. 3219 x * (K(y,y \ 1) * ((T(z,x) \ 1) * z)) = T(x,z). [para(1741(a,2),3184(a,1,2))]. 3221 (1 / x) \ K(x * y,y) = x * K(x * y,y). [para(2857(a,2),3215(a,2,2))]. 3222 (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(3221(a,2),218(a,1,2,2))]. 3223 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(280,a,2794,a(flip),b,2824,a),flip(a)]. 3224 R(x / (x / y),y \ x,y) = y * K((y \ x) * y,y). [para(2868(a,2),3223(a,1,1))]. 3225 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(434(a,1),2893(a,1,2,1)),flip(a)]. 3226 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(2914(a,1),611(a,1,1)),flip(a)]. 3227 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(844(a,1),2921(a,1,1,1))]. 3228 L(T(x,y),z,u) \ (K(L(x,z,u),y) * (x \ L(x,z,u))) = L(x \ 1,L(x,z,u),K(L(x,z,u),y)). [para(2921(a,1),1662(a,1,1))]. 3230 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(434(a,1),2981(a,1,1,1)),flip(a)]. 3231 T((x / (y * K(z,y))) * y,(z * y) / z) = ((z * y) / z) \ (x * y). [para(2831(a,1),103(a,1,1))]. 3232 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(280,a,1107,a(flip),b,2929,a),flip(a)]. 3233 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(101(a,1),3027(a,1,2))]. 3234 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(2885(a,1),3028(a,1,1))]. 3235 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(378(a,1),3234(a,1,1,1)),flip(a)]. 3236 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(3234(a,1),86(a,1,2))]. 3237 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(3198(a,1),3234(a,1,1)),flip(a)]. 3238 K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(3235(a,1),3074(a,2,2,1))]. 3239 T(x * K(y \ 1,z),x * y) = T(x \ (x / y),z) * (x * y). [para(3032(a,1),897(a,1,1))]. 3240 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(115,a,3036,a)]. 3241 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(70(a,1),3036(a,2,1,1))]. 3243 (x * y) * T(y \ (x \ y),z) = K(x \ 1,z) * y. [para(479(a,1),3036(a,1,2,1))]. 3244 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(770(a,2),3073(a,2,2))]. 3245 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(3065(a,1),3099(a,1,1)),flip(a)]. 3247 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(70(a,1),3245(a,2,1,2))]. 3249 T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). [para(2499(a,1),3245(a,1,2,1)),flip(a)]. 3250 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(58,a,3078,a,b,3247,a)]. 3251 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(519(a,1),3247(a,1,2))]. 3252 K(x,R(T(K(x,y),z),u,w)) = 1. [para(3247(a,1),2503(a,1,2,1))]. 3253 T(x,y) != K(z,1 / T(u,y)) | K(z,1 / u) = x. [para(3251(a,2),44(a,1)),flip(a)]. 3254 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(280,a,3078,a,b,3102,a),flip(a)]. 3255 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [hyper(126,a,3102,a)]. 3256 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). [para(3130(a,1),3025(a,1,1,1)),flip(a)]. 3257 T(x,T(x \ y,z)) * T(x \ y,z) = x * T(y / x,z). [para(2803(a,1),3175(a,2,2,1))]. 3258 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(126,a,3191,a)]. 3259 T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). [para(3191(a,1),2265(a,2,2,1))]. 3260 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(70(a,1),3196(a,1,1,1))]. 3261 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(378(a,1),3196(a,1,1,1))]. 3262 K(x \ 1,x) * (y \ z) = z * T(z \ (y \ z),T(y,u)). [para(3176(a,1),3196(a,1,1))]. 3263 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(280,a,3209,a(flip),b,3210,a),flip(a)]. 3264 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(3219(a,1),2469(a,1,1,1)),flip(a)]. 3265 T((x * y) \ y,T(x,z)) = (x * y) \ (K(u \ 1,u) * y). [para(3176(a,1),3240(a,1,2,1)),flip(a)]. 3266 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(344(a,1),3254(a,1,2,2,1,2))]. 3267 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(280,a,2822,a(flip),b,3255,a)]. 3268 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2029(a,1),3263(a,2,2,2,1))]. 3269 L(T(x,y),z,u) \ L(T(x * K(w,x),y),z,u) = K(w,L(T(x,y),z,u)). [para(2869(a,1),3168(a,1,2,1))]. 3271 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(900(a,1),3169(a,1,2,2)),flip(a)]. 3272 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(280,a,2562,a(flip),b,3271,a),flip(a)]. 3276 (x \ y) * R(y / (y / x),x \ y,x) = T((x \ y) * x,x). [para(3224(a,2),3134(a,1,2))]. 3277 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(2812(a,1),2843(a,1,2))]. 3278 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(280,a,2872,a(flip),b,3277,a),flip(a)]. 3279 x * ((y * (x * T(x,z))) \ x) = (x \ K(z,x)) * (y \ x). [para(228(a,1),2987(a,1,2,1,2))]. 3280 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [hyper(1846,a,3103,a)]. 3281 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(5(a,1),3104(a,1,2,1))]. 3282 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(3104(a,1),2604(a,1,1)),flip(a)]. 3283 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [para(376(a,1),3188(a,1,1,1,1))]. 3284 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(22(a,2),3190(a,2,2))]. 3285 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(280,a,61,a(flip),b,3225,a),flip(a)]. 3287 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(3230(a,2),196(a,1))]. 3288 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(1514(a,1),3257(a,1,1))]. 3289 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3288(a,1),13(a,2,1)),flip(a)]. 3290 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(3260(a,2),3037(a,1,2))]. 3291 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3261(a,2),3037(a,1,2))]. 3292 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(58,a,1494,a(flip),b,3262,a),flip(a)]. 3293 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(280,a,3240,a(flip),b,3265,a),flip(a)]. 3294 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [hyper(1127,a,3267,a)]. 3295 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(58,a,3118,a(flip),b,3294,a),flip(a)]. 3297 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(58,a,3078,a,b,3295,a)]. 3298 K(x,((y * z) \ y) \ 1) = K(x,z). [para(4(a,1),3295(a,2,2))]. 3299 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(9(a,2),3295(a,1,2,1)),flip(a)]. 3300 K(x,y \ (y / z)) = K(x,z \ 1). [para(70(a,1),3295(a,1,2,1)),flip(a)]. 3301 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(3295(a,1),3255(a,1,2))]. 3302 K(x,1 / (y \ x)) = K(x,y / x). [hyper(280,a,2955,a,b,3297,a),flip(a)]. 3303 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(13(a,2),3297(a,1,2,2)),flip(a)]. 3304 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(280,a,3118,a,b,3298,a)]. 3305 K(x,(y / z) \ 1) = K(x,z / y). [para(934(a,1),3300(a,1,2)),flip(a)]. 3306 K(x,y / (z * y)) = K(x,z \ 1). [para(983(a,2),3300(a,1,2))]. 3307 K(x,1 / (y / z)) = K(x,z / y). [hyper(58,a,3078,a,b,3305,a)]. 3308 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(101(a,1),3304(a,2,2,1,1))]. 3309 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(3304(a,1),454(a,1))]. 3310 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(2(a,1),3309(a,1,2,1,1))]. 3311 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5(a,1),3309(a,1,2,1,1))]. 3312 L(K(x,y),y,z) != u | K(x,y) = u. [para(3304(a,2),3309(a,1))]. 3314 K(x,T(y,1 / y)) != z | K(x,y) = z. [para(755(a,2),3310(a,1,2))]. 3315 K(x,R(y,z,y)) != u | K(x,y) = u. [para(905(a,2),3310(a,1,2))]. 3316 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2279(a,2),3310(a,1,2))]. 3317 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(904(a,1),3315(a,1,2))]. 3318 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(910(a,1),3315(a,1,2))]. 3319 K(x,y \ 1) != z | K(x,u \ (u / y)) = z. [para(70(a,1),3311(a,1,2,1))]. 3320 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(376(a,2),3311(a,1,2))]. 3321 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(88(a,2),3311(a,1,2,1))]. 3322 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(722(a,2),3318(a,1))]. 3323 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(280,a,2600,a(flip),b,3301,a)]. 3324 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(2994(a,2),3323(a,1,1))]. 3325 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(359(a,2),3303(a,1,2))]. 3326 (x \ K(y,x)) * (y \ x) = (L(x,x,y) * y) \ x. [hyper(58,a,1831,a(flip),b,3279,a),flip(a)]. 3327 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(2998(a,1),2537(a,1,2))]. 3328 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(269(a,1),3236(a,1,2,1,1))]. 3329 R(x / (x / y),y \ x,y) = y * K(x,y). [hyper(29,a,2830,a,b,3276,a),flip(a)]. 3331 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(583(a,2),3299(a,1,2))]. 3332 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(376(a,2),3325(a,1,2,1,1))]. 3333 (x * y) \ (((x * y) / z) * (y * x)) != u | (K(x,y) * z) \ (x * y) = u. [para(2863(a,1),265(a,1,2)),flip(b)]. 3334 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(80(a,1),2864(a,1,2,1)),flip(a)]. 3335 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [hyper(124,a,3334,a)]. 3336 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(2949(a,2),2901(a,1,2,1))]. 3337 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(2911(a,2),2930(a,1,2,1))]. 3338 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(2800(a,1),3337(a,1,2,1)),flip(a)]. 3339 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(30,a,1310,a,b,3106,a),flip(a)]. 3343 T((x * y) * K(z,x * y),x) = (y * x) * K(z,y * x). [para(897(a,1),3173(a,2,2,2))]. 3344 K(x,T(y * z,y)) = K(x,z * y). [hyper(29,a,3173,a(flip),b,3343,a(flip))]. 3345 T(T(x * y,z \ (x * y)),x) = (y * x) * K(z,y * x). [para(2838(a,2),3343(a,1,1))]. 3346 T(x,T(y * z,y)) = x * K(x,z * y). [para(3344(a,1),2882(a,2,2))]. 3347 T(x,T(y * z,y)) = T(x,z * y). [hyper(280,a,2882,a,b,3346,a),flip(a)]. 3348 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(3346(a,2),2916(a,1))]. 3349 T(x * y,z \ (y * x)) = (x * y) * K(z,x * y). [hyper(1374,a,3345,a)]. 3350 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(70(a,1),3290(a,2,1,1))]. 3351 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(4(a,1),3350(a,1,2,2)),flip(a)]. 3353 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(112,a,3351,a,b,xx)]. 3354 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(111,a,3351,a,b,101,a)]. 3357 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(378(a,1),3291(a,2,1,1))]. 3358 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(348,a,3336,a)]. 3359 T(x \ 1,L(T(x,y),z,u)) = x \ 1. [hyper(226,a,1162,a,b,3358,a)]. 3360 T((((1 / x) * (x * y)) / y) \ 1,L(T(((1 / x) * (x * y)) / y,z),u,w)) = a(1 / (x * y),x,y). [hyper(280,a,2245,a(flip),b,3359,a),flip(a)]. 3361 L(x,K(y,x),z) = x. [hyper(267,a,2790,a),flip(a)]. 3363 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(3361(a,1),24(a,1,1)),flip(a)]. 3364 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(3361(a,1),25(a,1,1)),flip(a)]. 3365 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(3361(a,1),557(a,1,2,1))]. 3366 L(x,K(x,y),z) = x. [para(2897(a,1),3361(a,1,2))]. 3367 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(58,a,2922,a,b,3366,a)]. 3368 L(T(x,y),K(x,z),u) = T(x,y). [para(3366(a,1),20(a,2,1))]. 3369 (x * K(y,z)) * T(y,u) = x * (K(y,z) * T(y,u)). [para(3366(a,1),557(a,1,2,1))]. 3370 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(3368(a,1),25(a,1,1)),flip(a)]. 3371 (x * K(y,z)) * L(T(y,u),w,v5) = x * (K(y,z) * L(T(y,u),w,v5)). [para(3368(a,1),559(a,1,2,1))]. 3372 (x * y) * K(y,z) = x * T(y,z). [hyper(2039,a,3367,a),flip(a)]. 3373 (x / y) * T(y,z) = x * K(y,z). [hyper(2034,a,3367,a)]. 3375 x * T(y * K(x,z),x) = y * T(x,z). [hyper(251,a,3367,a)]. 3376 (x * T(y,z)) / y = x * K(y,z). [hyper(183,a,3367,a)]. 3377 (x * K(y,z)) * y = x * T(y,z). [hyper(126,a,3367,a)]. 3378 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(3367(a,1),239(a,1,2)),flip(b)]. 3379 (x / T(y,z)) * K(y,z) = x / y. [para(3367(a,1),284(a,1,2)),flip(a)]. 3380 (x * K(y,z)) / T(y,z) = x / y. [hyper(676,a,3372,a)]. 3381 x * T(x \ y,z) = y * K(x \ y,z). [hyper(628,a,3372,a),flip(a)]. 3382 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(226,a,3372,a,b,5,a),flip(a)]. 3383 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(115,a,3372,a)]. 3384 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(111,a,7,a(flip),b,3372,a)]. 3385 (x * T(y,z)) / (y * z) = (x * y) / (z * y). [hyper(112,a,3372,a(flip),b,3150,a)]. 3386 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(111,a,138,a(flip),b,3372,a(flip))]. 3387 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(111,a,3372,a(flip),b,139,a(flip))]. 3388 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(3372(a,1),13(a,2,2,2)),flip(a)]. 3389 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(3372(a,2),38(a,1))]. 3392 (x \ y) * T(T(x,y),z) = y * K(T(x,y),z). [para(429(a,1),3372(a,1,1)),flip(a)]. 3393 R(x * y,K(y,z),K(y,z) \ u) = u / (K(y,z) * ((x * T(y,z)) \ u)). [para(3372(a,1),828(a,1,2,2,1)),flip(a)]. 3395 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(3372(a,1),2785(a,1,1)),flip(a)]. 3396 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(2888(a,2),3372(a,1,1)),flip(a)]. 3397 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(2964(a,1),3372(a,1,1)),flip(a)]. 3398 (x * (y * z)) / T(y,z) = (x * (z * y)) / y. [hyper(112,a,3145,a(flip),b,3373,a)]. 3399 x * K(y \ x,z) != u | y * T(y \ x,z) = u. [para(3373(a,1),630(a,1))]. 3400 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(3373(a,1),1452(a,1,2,1))]. 3401 T(x * K(y,z),y) = y \ (x * T(y,z)). [para(3373(a,1),2015(a,1,1))]. 3402 L(x \ 1,x,y * T(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [hyper(111,a,3376,a(flip),b,343,a),flip(a)]. 3403 x / y != z * K(y,u) | z * T(y,u) = x. [para(3376(a,1),41(a,1)),flip(a)]. 3404 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(3376(a,1),352(a,1,1))]. 3405 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y * T(x,z)). [para(3376(a,1),644(a,1,3))]. 3406 (T(x,y) \ z) * K(x,y) = T(z,T(x,y)) / x. [para(898(a,2),3376(a,1,1)),flip(a)]. 3407 (1 / x) * K(x,y) = K(x,y) / x. [para(2910(a,2),3376(a,1,1)),flip(a)]. 3408 (x * K(y,z)) / y = (x / y) * K(y,z). [para(3373(a,1),3376(a,1,1))]. 3410 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(30,a,2045,a,b,3377,a),flip(a)]. 3412 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(3377(a,1),266(a,1,2))]. 3413 T(x,y) * T(x,y) = x * T(T(x,y),y). [para(2904(a,1),3377(a,1,1))]. 3414 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(3120(a,1),3377(a,1,1))]. 3415 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(3217(a,1),3377(a,1,1))]. 3416 K(x,y) * K(y,x) = 1. [hyper(32,a,2977,a(flip),b,3380,a),flip(a)]. 3417 1 / K(x,y) = K(y,x). [hyper(123,a,3416,a)]. 3418 K(x,y) \ 1 = K(y,x). [hyper(115,a,3416,a)]. 3419 1 / (x * K(y,x)) = K(x,y) / x. [hyper(112,a,3416,a(flip),b,3119,a)]. 3420 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(111,a,3416,a(flip),b,3119,a)]. 3421 x * (K(y,z) * K(z,y)) = x. [para(3416(a,2),3(a,1,2))]. 3422 K(x,y) \ 1 != z | K(y,x) = z. [para(3416(a,1),265(a,1,2)),flip(b)]. 3423 1 / K(x,y) != z | K(y,x) = z. [para(3416(a,1),287(a,1,1))]. 3425 K(x,y) / x = 1 / ((y * x) / y). [hyper(112,a,3417,a(flip),b,3064,a)]. 3426 K(x,y) != 1 / z | K(y,x) = z. [para(3417(a,1),40(a,1))]. 3427 (K(x,y) * z) \ 1 = (z \ 1) * K(y,x). [para(3417(a,1),527(a,1,1,1))]. 3429 T(x,K(y,z) \ 1) = T(x,K(z,y)). [para(3417(a,1),1526(a,1,2)),flip(a)]. 3430 K(x,y) * T(K(y,x),z) = K(K(y,x),z). [para(3417(a,1),2910(a,2,1)),flip(a)]. 3432 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [para(3418(a,1),298(a,1,1,2))]. 3433 (K(x,y) / z) \ 1 = (1 / z) \ K(y,x). [para(3418(a,1),536(a,1,2)),flip(a)]. 3435 K(x,y) * (z \ 1) != u | (z * K(y,x)) \ 1 = u. [para(3418(a,1),730(a,1,1))]. 3436 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(3418(a,1),2514(a,2,1,2,1))]. 3437 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(3418(a,1),3234(a,1,1,1)),flip(a)]. 3438 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(3235(a,1),3418(a,1,1)),flip(a)]. 3439 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(3418(a,1),3258(a,1,2,2,1,1,2))]. 3440 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(3383(a,1),239(a,1,2)),flip(b)]. 3441 (x * (y * z)) \ ((x * y) * T(L(z,y,x),u)) = K(L(z,y,x),u). [para(86(a,1),3383(a,1,1))]. 3442 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(3419(a,1),2910(a,2,1)),flip(a)]. 3443 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(3058(a,2),3425(a,2,2))]. 3444 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(3364(a,1),556(a,1,2,2)),flip(a)]. 3445 T(K(x \ 1,x) * K(y,z),y) = y \ T(y * K(u \ 1,u),z). [hyper(111,a,1653,a,b,3375,a),flip(a)]. 3446 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(58,a,1455,a(flip),b,3381,a),flip(a)]. 3447 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(58,a,1360,a(flip),b,3381,a)]. 3449 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(29,a,3034,a(flip),b,3381,a(flip))]. 3450 x * T(x \ y,z) != y * u | K(x \ y,z) = u. [para(3381(a,2),38(a,1))]. 3451 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(3381(a,2),265(a,1,2)),flip(b)]. 3452 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(3381(a,2),87(a,1,2,2)),flip(a)]. 3453 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(3381(a,2),2573(a,1,2,1)),flip(a)]. 3455 K(x \ (x / y),z) = K(y \ 1,z). [para(70(a,1),3449(a,1,1,1)),flip(a)]. 3456 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(3449(a,1),3258(a,1,2,2))]. 3457 K(x \ (x / L(y,z,u)),w) = L(K(y \ 1,w),z,u). [hyper(280,a,3234,a,b,3455,a),flip(a)]. 3459 K(x \ (x / y),z) = T(z,y \ 1) \ z. [hyper(280,a,2966,a(flip),b,3455,a),flip(a)]. 3461 K((x / y) \ 1,z) = K(y / x,z). [para(934(a,1),3455(a,1,1)),flip(a)]. 3462 K((x \ y) / y,z) = K(x \ 1,z). [para(935(a,2),3455(a,1,1))]. 3463 K(x / (y * x),z) = K(y \ 1,z). [para(983(a,2),3455(a,1,1))]. 3466 K((x / y) \ 1,x) = K(x \ y,x). [hyper(280,a,2856,a(flip),b,3461,a),flip(a)]. 3467 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(58,a,3030,a,b,3461,a)]. 3468 K(1 / (x / y),z) = K(y / x,z). [hyper(58,a,2448,a,b,3461,a)]. 3469 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(58,a,3283,a(flip),b,3461,a),flip(a)]. 3470 K(x / y,z) * x = y * T(y \ x,z). [para(3461(a,1),3035(a,1,1))]. 3471 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [hyper(58,a,2854,a(flip),b,3462,a)]. 3473 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [para(533(a,1),3466(a,1,1))]. 3475 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(3468(a,1),2449(a,1))]. 3476 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(280,a,2487,a(flip),b,3396,a)]. 3477 T(x * K(y / z,y),y / z) = (y / z) \ (x * (z \ y)). [para(375(a,1),3401(a,2,2,2))]. 3478 (x * y) \ (z * T(x * y,x)) = T(z * K(y,x),x * y). [para(2908(a,1),3401(a,1,1,2)),flip(a)]. 3480 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [para(2554(a,1),3410(a,1,2,1))]. 3481 (x \ 1) * (K(y,z) * 1) = (K(z,y) * x) \ 1. [para(3(a,2),3427(a,2,2)),flip(a)]. 3482 (K(x,y) * z) * L((z \ 1) * K(y,x),u,w) = K(x,y) * (z * L(z \ (K(x,y) \ 1),u,w)). [para(3427(a,1),1567(a,1,2,1))]. 3483 (x * K(y,z)) * L(K(z,y) * (x \ 1),u,w) != v5 | L((x * K(y,z)) \ 1,u,w) * (x * K(y,z)) = v5. [para(3432(a,1),1332(a,1,2,1))]. 3484 (x * K(y,z)) * L(K(z,y) * (x \ 1),u,w) = x * (K(y,z) * L(K(y,z) \ (x \ 1),u,w)). [para(3432(a,1),1567(a,1,2,1))]. 3485 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. [hyper(183,a,3433,a)]. 3486 T(x,y \ (y / z)) = T(x,z \ 1). [hyper(2982,a,3459,a)]. 3487 K(x \ (x / y),z) != u | K(y \ 1,z) = u. [para(3459(a,2),2969(a,1))]. 3488 T(T(x,y),y \ 1) = x. [hyper(1429,a,3486,a),flip(a)]. 3489 T(T(x,y \ 1),y) = x. [hyper(1247,a,3486,a)]. 3490 T(x,(y * z) \ y) = T(x,z \ 1). [para(6(a,1),3486(a,1,2,2))]. 3491 T(x,(y \ z) \ 1) = T(x,z \ y). [para(67(a,1),3486(a,1,2,2)),flip(a)]. 3492 T(x,L(y \ 1,y,z)) = T(x,y \ 1). [para(336(a,2),3486(a,1,2))]. 3493 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(357(a,1),3486(a,1,2)),flip(a)]. 3494 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [para(428(a,1),3486(a,1,2,2)),flip(a)]. 3495 T(x,(y / z) \ 1) = T(x,z / y). [para(934(a,1),3486(a,1,2)),flip(a)]. 3496 T(x,(y \ z) / z) = T(x,y \ 1). [para(935(a,2),3486(a,1,2))]. 3497 T(x,y / (z * y)) = T(x,z \ 1). [para(983(a,2),3486(a,1,2))]. 3498 T(x,y \ 1) != z | T(z,y) = x. [para(3486(a,1),1247(a,1))]. 3499 T(T(x,y),y \ 1) != z | x = z. [para(3486(a,1),1429(a,1))]. 3500 T(x * (y \ 1),y) = (y \ 1) * x. [hyper(1374,a,3488,a)]. 3501 T((x \ 1) \ y,x) = y / (x \ 1). [hyper(235,a,3488,a),flip(a)]. 3503 T(T(x,K(y,z)),K(z,y)) = x. [hyper(58,a,3429,a(flip),b,3488,a)]. 3504 T(x,(y \ 1) \ x) = T(x,y). [hyper(58,a,2871,a(flip),b,3488,a),flip(a)]. 3505 T(T(T(x,y \ 1),z),y) = T(x,z). [hyper(35,a,18,a,b,3488,a),flip(a)]. 3506 T(T(T(x,y),z),y \ 1) = T(x,z). [para(3488(a,1),18(a,1,1)),flip(a)]. 3507 T(x,y) * (y \ 1) = (y \ 1) * x. [para(3488(a,1),101(a,1,2)),flip(a)]. 3508 T(x \ y,x \ 1) = y / x. [para(103(a,1),3488(a,1,1))]. 3509 T(x,y \ 1) = (y * x) / y. [para(212(a,1),3488(a,1,1))]. 3510 T(x \ y,y \ 1) = y / x. [para(375(a,1),3488(a,1,1))]. 3512 T(x,y \ 1) * y = y * x. [para(3488(a,1),223(a,1,2)),flip(a)]. 3513 T(x,y \ 1) \ y = y / x. [para(3488(a,1),441(a,1,2)),flip(a)]. 3514 T(x * y,y \ 1) = y * x. [para(897(a,1),3488(a,1,1))]. 3515 T(x,y \ 1) = y * (x / y). [para(912(a,1),3488(a,1,1))]. 3516 T(x,y \ 1) = T(x,y \ x). [para(3488(a,1),970(a,1,1)),flip(a)]. 3517 x * y != z | T(y,x \ 1) * x = z. [para(3488(a,1),347(a,1,2))]. 3519 T(x,y \ 1) = x * K(y,x). [para(2800(a,1),3488(a,1,1))]. 3520 T(x,y \ x) != z | T(x,y \ 1) = z. [para(3488(a,1),3161(a,1,1))]. 3521 x \ T(y,x \ 1) = y / x. [hyper(112,a,3489,a(flip),b,898,a(flip)),flip(a)]. 3523 L(T(x,y \ 1),z,u) * y = y * L(x,z,u). [para(3489(a,1),224(a,1,2,1)),flip(a)]. 3524 x \ L(T(y,x \ 1),z,u) = L(y,z,u) / x. [para(3489(a,1),932(a,1,1,1)),flip(a)]. 3525 x * y != z | T(y * x,x \ 1) = z. [para(3489(a,1),1374(a,1))]. 3526 K(T(x,y \ 1),y) = K(x,y). [para(3489(a,1),2853(a,1,1)),flip(a)]. 3527 x * K(y,x) != z | T(x,y \ 1) = z. [para(3489(a,1),3062(a,1))]. 3528 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(1374,a,3503,a)]. 3529 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(235,a,3503,a),flip(a)]. 3530 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(3503(a,1),44(a,1)),flip(a)]. 3531 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(3503(a,1),101(a,1,2)),flip(a)]. 3532 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(3504(a,1),429(a,1,2))]. 3533 (x / y) / (y \ 1) = (y \ 1) \ (y \ x). [hyper(112,a,3508,a(flip),b,898,a(flip))]. 3535 T((x * y) \ (x * z),y \ 1) = L(z / y,y,x). [para(3508(a,1),572(a,2,1))]. 3536 T(x \ (y * z),(y \ x) \ 1) = L(z / (y \ x),y \ x,y). [para(3508(a,1),1134(a,1,1)),flip(a)]. 3538 L(T(x,(y * z) \ 1),z,y) = (y * (z * x)) / (y * z). [para(3509(a,2),1199(a,1,1))]. 3539 (x / y) / (x \ 1) = (x \ 1) \ (y \ x). [hyper(112,a,3510,a(flip),b,898,a(flip))]. 3540 T(T(x \ 1,y \ x),z) = T(T(x \ 1,z),x / y). [para(3510(a,1),771(a,1,2)),flip(a)]. 3541 T((x \ y) * (y \ 1),y \ 1) = (y / x) * (y \ 1). [para(3510(a,1),917(a,2,1))]. 3542 (x * (y \ x)) * (x \ 1) = L(x / y,x,x \ 1). [para(3510(a,1),1371(a,1,1)),flip(a)]. 3543 T(x * (y \ x),x \ 1) = x * (x / y). [para(3510(a,1),1388(a,2,2))]. 3545 T((x \ 1) * y,x \ 1) * x = L(y,x \ 1,x). [hyper(280,a,241,a(flip),b,3512,a),flip(a)]. 3546 ((x \ 1) \ y) * x = x * (y / (x \ 1)). [para(103(a,1),3512(a,1,1))]. 3547 (x \ (y \ 1)) * y = y * ((y \ 1) / x). [para(375(a,1),3512(a,1,1))]. 3548 ((x \ 1) * (x * y)) \ (y * (x \ 1)) = L(x \ 1,x,T(y,x \ 1)). [para(3512(a,1),1605(a,1,1,2))]. 3549 K(x \ 1,y) * x = x * K(x \ 1,y). [para(2483(a,1),3512(a,1,1))]. 3550 x / ((x \ 1) * y) = (y * (x \ 1)) \ x. [para(897(a,1),3513(a,1,1)),flip(a)]. 3551 T(x * y,z \ (z / y)) = y * x. [hyper(58,a,3486,a,b,3514,a)]. 3552 T(x \ 1,y * x) = T(x \ 1,x * y). [para(3514(a,1),770(a,1,2)),flip(a)]. 3553 K(x \ 1,y * x) = K(x \ 1,x * y). [para(3514(a,1),2953(a,1,2)),flip(a)]. 3554 T(x * T(y,z),y \ 1) = y * (x * K(y,z)). [para(3377(a,1),3514(a,1,1))]. 3555 x \ T(y,x \ 1) != z | y / x = z. [para(3515(a,2),265(a,1,2)),flip(b)]. 3556 T(x / y,x \ 1) = x * (x / (x * y)). [para(374(a,1),3515(a,2,2))]. 3557 T(x,y \ 1) != z | T(x,y \ x) = z. [para(3515(a,2),1000(a,1))]. 3558 T(x,x * (y \ 1)) = T(x,y \ x). [hyper(489,a,3516,a)]. 3559 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(280,a,423,a,b,3516,a)]. 3560 T(x / y,L(y \ 1,y,x)) = T(x / y,x \ 1). [para(336(a,2),3516(a,2,2)),flip(a)]. 3561 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3516(a,2),429(a,1,2))]. 3562 T(x,(y * (z \ x)) \ 1) = T(x,x \ (z * (y \ x))). [para(370(a,1),3516(a,2,2))]. 3563 T((x * y) * z,R(T(x,y * z),y,z)) = T((x * y) * z,(y * z) \ 1). [para(710(a,1),3516(a,2,2)),flip(a)]. 3566 K(x,y \ 1) = K(y,x). [hyper(2899,a,3519,a)]. 3567 T(x * y,z \ (y * x)) = T(x * y,z \ 1). [hyper(280,a,3349,a,b,3519,a)]. 3568 T(T(T(x,y \ 1),z),y) != u | T(x,z) = u. [para(3519(a,2),3062(a,1,1,1))]. 3569 K(x,y \ (y / z)) = K(z,x). [hyper(3319,a,3566,a)]. 3570 K(x \ y,z) = K(z,y \ x). [hyper(3311,a,3566,a),flip(a)]. 3571 K(x \ 1,y) = K(y,x). [hyper(3310,a,3566,a),flip(a)]. 3572 K(x,y / (z * y)) = K(z,x). [hyper(58,a,3306,a,b,3566,a)]. 3573 K(x / y,z) = K(z,y / x). [hyper(58,a,3305,a(flip),b,3566,a),flip(a)]. 3574 T(x \ K(x,y),y) = x \ 1. [para(3566(a,1),2815(a,1,1,2))]. 3575 (x \ K(x,y)) * y = y * (x \ 1). [para(3566(a,1),2845(a,1,1,2))]. 3576 a(x,y \ 1,K(y,z)) = 1. [para(3566(a,1),3122(a,1,3))]. 3577 K(x \ 1,y) != z | K(y,x) = z. [para(3566(a,1),3310(a,1))]. 3578 K(x \ y,z) != u | K(z,y \ x) = u. [para(3566(a,1),3311(a,1))]. 3579 K(K(x,y),z) = K(z,K(y,x)). [para(3418(a,1),3566(a,1,2)),flip(a)]. 3580 K(x,y) = T(y \ 1,x) * y. [hyper(3031,a,3571,a),flip(a)]. 3581 K(x \ 1,y) = K(x,y \ 1). [hyper(280,a,3566,a,b,3571,a),flip(a)]. 3582 K(x \ 1,y * x) = K(y,x). [hyper(280,a,2907,a(flip),b,3571,a),flip(a)]. 3583 K(x \ (x / y),z) = K(z,y). [hyper(58,a,3455,a,b,3571,a)]. 3584 T(x \ 1,y) = x \ K(y,x). [hyper(111,a,3571,a(flip),b,2885,a),flip(a)]. 3585 R(x,K(y \ 1,z),y) = x. [para(3571(a,2),2786(a,1,2))]. 3586 R(x,y,K(y \ 1,z)) = x. [para(3571(a,2),3135(a,1,3))]. 3587 R(x,y \ 1,K(z,y)) = x. [para(3571(a,1),3140(a,1,3))]. 3588 x * T(x \ y,z) = y * K(z,y \ x). [para(3571(a,1),3034(a,2,2))]. 3589 (x * y) * T(y \ (x \ y),z) = K(z,x) * y. [para(3571(a,1),3243(a,2,1))]. 3590 T(x \ (x / y),z) * (x * y) = T(x * K(z,y),x * y). [para(3571(a,1),3239(a,1,1,2)),flip(a)]. 3591 (x * (y \ 1)) * K(z,y) = x * T(y \ 1,z). [para(3571(a,1),3372(a,1,2))]. 3592 L(K(x,y),x \ 1,z) = K(x,y). [hyper(47,a,3576,a)]. 3593 R(x,K(y \ 1,z),y) = R(x,u,K(u \ 1,w)). [hyper(280,a,3585,a,b,3586,a)]. 3594 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [hyper(280,a,946,a(flip),b,3521,a),flip(a)]. 3596 K(x,L(x,y,z) / u) = K(u,x). [hyper(58,a,3159,a(flip),b,3569,a)]. 3597 K(L(x \ 1,x,y),z) = K(z,x). [para(357(a,1),3569(a,1,2)),flip(a)]. 3598 K(x,(y * (z * u)) \ (y * z)) = K(L(u,z,y),x). [para(172(a,1),3569(a,1,2,2))]. 3599 K(x \ (y \ x),z) = K(z,T(y,x)). [hyper(280,a,3088,a(flip),b,3570,a),flip(a)]. 3600 K(x \ (L(y,z,u) * (y \ x)),w) = K(w,(L(y,z,u) * x) \ (y * x)). [para(2589(a,1),3570(a,1,1))]. 3601 (x \ y) * K(z,y \ x) = T(x \ y,z). [para(3570(a,1),2882(a,2,2)),flip(a)]. 3603 K(x \ y,y) != z | K(y,x) = z. [para(3570(a,2),3018(a,1))]. 3604 R(x,y \ z,K(u,z \ y)) = x. [para(3570(a,1),3140(a,1,3))]. 3605 K(x \ 1,y / z) = K(x,z / y). [hyper(58,a,3571,a,b,3573,a)]. 3606 (x * (y / z)) * K(u,z / y) = x * T(y / z,u). [para(3573(a,1),3372(a,1,2))]. 3607 x * (y \ 1) != z | (y \ K(y,x)) * x = z. [para(3574(a,1),259(a,1,2))]. 3609 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(58,a,3430,a,b,3579,a)]. 3610 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(3579(a,1),2888(a,2,1)),flip(a)]. 3611 T(x \ 1,y) = T(x,y) \ 1. [hyper(280,a,2978,a,b,3584,a),flip(a)]. 3612 T(x \ 1,y) != x \ z | K(y,x) = z. [para(3584(a,2),42(a,1))]. 3613 T(x \ 1,y \ x) = x \ K(x,y). [para(2897(a,1),3584(a,2,2))]. 3614 T((x / y) \ 1,y) = (y \ x) \ 1. [hyper(1227,a,3611,a),flip(a)]. 3615 x * T(y \ 1,z) = x * (T(y,z) \ 1). [hyper(53,a,3611,a)]. 3616 T(1 / x,y) \ 1 = T(x,y). [hyper(34,a,751,a,b,3611,a(flip))]. 3617 T(L(x,y,z) \ 1,u) = L(T(x,u),y,z) \ 1. [para(20(a,2),3611(a,2,1))]. 3618 x * L(T(y \ 1,z),T(y,z),x) = x / T(y,z). [para(3611(a,2),343(a,1,2,1))]. 3619 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(434(a,1),3611(a,2,1))]. 3620 T(x \ 1,y) * (z \ 1) = (z * T(x,y)) \ 1. [para(3611(a,2),512(a,1,1))]. 3621 T((x * y) \ 1,T(x,y)) = (y * x) \ 1. [para(913(a,1),3611(a,2,1))]. 3622 T((x \ (x / y)) \ 1,x) = (x \ (y \ x)) \ 1. [para(989(a,1),3611(a,2,1))]. 3623 (x \ y) \ (y * L(y \ (x \ y),z,u)) = T(x,y) * L(T(x \ 1,y),z,u). [para(3611(a,2),2524(a,2,2,1))]. 3624 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(3418(a,1),3611(a,1,1)),flip(a)]. 3626 T(x * T(y,z),T(y \ 1,z)) = T(y,z) * x. [para(3611(a,2),3514(a,1,2))]. 3627 T((x * y) \ 1,y \ 1) = (y * x) \ 1. [para(3514(a,1),3611(a,2,1))]. 3629 1 / T(x,y) = T(1 / x,y). [hyper(183,a,3616,a)]. 3630 K(T(x,y),z) = T(K(x,z),y). [para(3616(a,1),3198(a,1,1))]. 3631 K(x,T(y,z)) = T(K(x,y),z). [para(3616(a,1),3247(a,1,2))]. 3632 1 / T(K(x,y),z) = T(K(y,x),z). [para(3417(a,1),3629(a,2,1))]. 3633 K(T(x,L(y,z,u)),y) = K(x,y). [hyper(280,a,2578,a(flip),b,3630,a),flip(a)]. 3634 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(58,a,2455,a,b,3630,a)]. 3635 x * K(T(y,x),z) = K(y,z) * x. [para(3630(a,2),101(a,1,2))]. 3636 T(K(x,y),K(x,z)) = K(x,y). [para(2482(a,1),3630(a,1,1)),flip(a)]. 3637 T(K(x,y),K(z,x)) = K(x,y). [para(2554(a,1),3630(a,1,1)),flip(a)]. 3638 K(T(x,y),z) = K(x,T(z,y)). [hyper(280,a,3630,a,b,3631,a)]. 3639 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(280,a,3245,a,b,3631,a),flip(a)]. 3640 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(280,a,3197,a,b,3631,a)]. 3641 K(x,T(y,T(x,z))) = K(x,y). [hyper(280,a,2496,a(flip),b,3631,a),flip(a)]. 3642 K(x,T(y,z)) / z = z \ K(x,y). [hyper(112,a,3631,a,b,898,a(flip))]. 3643 T(K(x,y / z),y) = K(x,z \ y). [hyper(58,a,3094,a(flip),b,3631,a),flip(a)]. 3644 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(53,a,3631,a)]. 3645 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(18(a,1),3631(a,1,2))]. 3646 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(20(a,2),3631(a,1,2))]. 3647 x * K(y,T(z,x)) = K(y,z) * x. [para(3631(a,2),101(a,1,2))]. 3648 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(3631(a,2),259(a,1,2))]. 3649 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(3631(a,2),224(a,1,2,1))]. 3650 T(K(x,y),z * y) = K(x,T(y,z)). [para(761(a,1),3631(a,1,2)),flip(a)]. 3651 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(3631(a,2),698(a,1,2,2))]. 3652 L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. [para(3631(a,2),839(a,1,1))]. 3653 T(K(x,y),K(y,z)) = K(x,y). [para(2482(a,1),3631(a,1,2)),flip(a)]. 3654 ((K(x,y) * z) * u) \ (z * (K(x,T(y,z)) * u)) = (K(x,y) * z) \ ((z * (T(K(x,y),z) * u)) / u). [para(3631(a,2),2611(a,1,2,2,1))]. 3655 x * T(K(x,y),z) = T(x,T(y,z)). [para(3631(a,1),2882(a,2,2)),flip(a)]. 3656 K(x,y) * ((K(x,T(y,z)) * u) \ K(x,y)) = (K(x,y) / u) * K(z,K(x,y)). [para(3631(a,2),2972(a,1,2,1,1))]. 3657 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(3631(a,2),3204(a,1,1))]. 3658 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(3631(a,2),3631(a,1,2))]. 3659 K(x,T(y,K(x,z))) = K(x,y). [hyper(58,a,3631,a,b,3636,a)]. 3660 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(3636(a,1),259(a,1,2))]. 3661 T(K(x * y,z),K(x,y)) = K(x * y,z). [para(2907(a,1),3636(a,1,2))]. 3662 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(3637(a,1),101(a,1,2)),flip(a)]. 3663 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(3637(a,1),259(a,1,2))]. 3664 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(58,a,2455,a,b,3638,a)]. 3665 K(x,T(y \ 1,z)) = K(y,T(x,z)). [hyper(58,a,3566,a(flip),b,3638,a),flip(a)]. 3666 K(x / y,T(z,x)) = K(y \ x,z). [hyper(58,a,2461,a(flip),b,3638,a),flip(a)]. 3667 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(53,a,3638,a)]. 3668 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(20(a,2),3638(a,1,1))]. 3669 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(22(a,2),3638(a,1,1))]. 3670 K(x,T(y,R(x,z,u))) = K(x,y). [para(160(a,1),3638(a,1,1)),flip(a)]. 3671 K(T(x,R(y,z,u)),y) = K(x,y). [para(160(a,1),3638(a,2,2))]. 3672 K(x,T(y,L(x,z,u))) = K(x,y). [para(161(a,1),3638(a,1,1)),flip(a)]. 3673 K(x / y,T(z,y)) = K(y \ x,z). [para(103(a,1),3638(a,1,1)),flip(a)]. 3674 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(191(a,1),3638(a,1,1)),flip(a)]. 3675 K((x * y) / x,T(z,x)) = K(y,z). [para(212(a,1),3638(a,1,1)),flip(a)]. 3676 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(201(a,1),3638(a,1,1)),flip(a)]. 3677 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(164(a,1),3638(a,2,2))]. 3678 K(x,T(y,x * z)) = K(T(x,z),y). [para(435(a,1),3638(a,1,1)),flip(a)]. 3679 K(x * y,T(z,x)) = K(y * x,z). [para(897(a,1),3638(a,1,1)),flip(a)]. 3680 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(3638(a,1),2888(a,2,1)),flip(a)]. 3681 R(x,y,K(z,T(y,u))) = x. [para(3638(a,1),3135(a,1,3))]. 3682 (x * y) * K(x,T(z,y)) = T(x,z) * y. [para(3638(a,1),3410(a,1,2))]. 3684 R(x,y \ 1,K(z,T(y,u))) = x. [para(3638(a,1),3587(a,1,3))]. 3685 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(3681(a,1),96(a,1,1)),flip(a)]. 3686 R(x,T(y,z),K(u,y)) = x. [para(969(a,1),3681(a,1,3,2))]. 3687 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [para(3686(a,1),344(a,1,1))]. 3688 R(x,T(y,z),K(y,u)) = x. [para(2897(a,1),3686(a,1,3))]. 3689 (x * T(y,z)) * K(y,u) = x * (T(y,z) * K(y,u)). [para(3688(a,1),96(a,1,1)),flip(a)]. 3690 R(x,(y * z) / y,K(z,u)) = x. [para(3509(a,1),3688(a,1,2))]. 3691 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(3641(a,2),2560(a,1,2))]. 3692 T(x,T(y,T(x,z))) = x * K(x,y). [para(3641(a,1),2882(a,2,2))]. 3693 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [para(3641(a,1),2869(a,1,2)),flip(a)]. 3694 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(3653(a,1),259(a,1,2))]. 3695 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(3653(a,1),223(a,1,2,1)),flip(a)]. 3696 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(3653(a,1),224(a,1,2,1)),flip(a)]. 3697 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(3653(a,1),225(a,1,2,1)),flip(a)]. 3698 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(3653(a,1),348(a,1,2,1))]. 3700 T(x \ y,y \ 1) != z | y / x = z. [para(375(a,1),3499(a,1,1))]. 3701 T(x * y,y \ 1) != z | y * x = z. [para(897(a,1),3499(a,1,1))]. 3702 T((L(x,y,z) \ u) * x,L(x,y,z) \ 1) != w | (u / L(x,y,z)) * x = w. [para(2215(a,1),3499(a,1,1))]. 3703 T(T(x,K(y,z)),K(z,y)) != u | x = u. [para(3418(a,1),3499(a,1,2))]. 3705 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(3488(a,1),3499(a,1,1))]. 3708 x * (y * T(y \ (x \ 1),z)) != u | K(z,x * y) = u. [para(3027(a,2),3577(a,1))]. 3709 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(3418(a,1),3577(a,1,1))]. 3710 K(x / y,z) != u | K(z,y / x) = u. [para(3461(a,1),3577(a,1))]. 3711 K(x,y \ 1) != z | K(y,x) = z. [para(3581(a,1),3577(a,1))]. 3713 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(111,a,3592,a(flip),b,241,a),flip(a)]. 3714 K(x / L(y,z,u),y) = K(x,y). [hyper(58,a,3573,a,b,3596,a)]. 3715 K(x * L(y,z,u),y) = K(x,y). [hyper(58,a,3572,a(flip),b,3596,a),flip(a)]. 3717 K(x,y) * L(y \ 1,y,z) = L(T(y \ 1,x),y,z). [para(3597(a,1),2921(a,1,1))]. 3719 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(3604(a,1),584(a,1,1))]. 3720 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(58,a,2461,a(flip),b,3633,a),flip(a)]. 3721 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(897(a,1),3633(a,1,1)),flip(a)]. 3722 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(103(a,1),3670(a,1,2)),flip(a)]. 3723 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(3670(a,1),3203(a,1,2))]. 3724 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [hyper(58,a,3344,a(flip),b,3672,a),flip(a)]. 3725 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(2800(a,1),3684(a,1,3,2))]. 3726 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(3690(a,1),585(a,1,1))]. 3728 K(x,y) != z | K(y \ 1,x) = z. [para(378(a,1),3711(a,1,2))]. 3729 K(x,y \ z) != u | K(z \ y,x) = u. [para(3295(a,1),3711(a,1))]. 3730 K(x,y \ (y / z)) != u | K(z,x) = u. [para(3300(a,2),3711(a,1))]. 3731 K(x,y / z) != u | K(z / y,x) = u. [para(3305(a,1),3711(a,1))]. 3732 K(x,y / (z * y)) != u | K(z,x) = u. [para(3306(a,2),3711(a,1))]. 3733 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(3418(a,1),3711(a,1,2))]. 3734 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(3571(a,2),3711(a,1))]. 3735 K(x \ 1,K(y,z)) != u | K(x,K(z,y)) = u. [para(3579(a,1),3711(a,1))]. 3736 K(x * (y * z),z) = K(x * y,z). [para(172(a,1),3714(a,1,1)),flip(a)]. 3737 K(x * (y / z),z) = K(x * y,z). [para(617(a,1),3714(a,1,1))]. 3738 K(x,y * L(x \ 1,z,u)) = K(y,x \ 1). [hyper(3711,a,3715,a)]. 3739 K(x * L(y,z,u),y) = K(y * x,y). [hyper(280,a,2908,a,b,3715,a),flip(a)]. 3741 K(x,K(y,z)) != u | K(x \ 1,K(z,y)) = u. [para(3579(a,1),3728(a,1))]. 3742 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(366,a,3490,a),flip(a)]. 3743 T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). [para(619(a,2),3490(a,1,2))]. 3744 T(T(x,y \ z),z \ y) = x. [hyper(3499,a,3491,a),flip(a)]. 3745 (x \ y) \ T(z,y \ x) = z / (x \ y). [hyper(111,a,3491,a(flip),b,3515,a(flip))]. 3746 T(x,y / (z \ 1)) = T(x,(y \ 1) \ z). [para(529(a,1),3491(a,1,2))]. 3747 T(x,(y \ 1) / z) = T(x,y \ (z \ 1)). [para(530(a,1),3491(a,1,2))]. 3748 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(3491(a,1),1544(a,1,2))]. 3749 T(x,y \ z) * (z \ y) = (z \ y) * x. [para(3491(a,1),3512(a,1,1))]. 3750 T(x,y \ z) != u | T(u,z \ y) = x. [para(3491(a,1),3498(a,1))]. 3751 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(3744(a,1),3499(a,1,1))]. 3752 T(x / y,y / x) = ((x / y) \ 1) \ 1. [hyper(366,a,3495,a),flip(a)]. 3753 T(x,(x / y) \ 1) = T(x,x \ y). [hyper(280,a,759,a(flip),b,3495,a),flip(a)]. 3754 T(x,(y / z) \ x) = T(x,z / y). [hyper(58,a,3516,a(flip),b,3495,a)]. 3755 K(x,T(y / z,z / y)) = K(x,y / z). [para(3495(a,1),3080(a,1,2))]. 3756 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(280,a,770,a,b,3496,a)]. 3757 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(764,a,3497,a),flip(a)]. 3758 x / T(y * x,y \ 1) = (y * x) \ x. [para(3497(a,1),754(a,1,2))]. 3759 x * ((x \ 1) * y) != z | (y * (x \ 1)) * x = z. [para(3500(a,1),259(a,1,2))]. 3760 (x \ ((x \ 1) \ y)) \ (y / (x \ 1)) = x. [hyper(111,a,3501,a(flip),b,898,a(flip))]. 3761 T(x,y) != z / (y \ 1) | (y \ 1) \ z = x. [para(3501(a,1),44(a,1)),flip(a)]. 3762 T(x,y) != T(z,u) | T(T(z,y \ 1),u) = x. [para(3505(a,1),44(a,2)),flip(b)]. 3763 T(T(x,y),z \ 1) = T(T(x,y),z \ x). [para(1054(a,1),3506(a,1,1))]. 3764 T(x * y,x) * (x \ 1) = L(y,x,x \ 1). [hyper(280,a,671,a(flip),b,3507,a),flip(a)]. 3765 K(x,y) * (T(x,z) \ 1) = (T(x,z) \ 1) * K(x,y). [para(2496(a,1),3507(a,1,1))]. 3766 K(x,T(y,z)) * (z \ 1) = (z \ 1) * K(x,y). [para(3631(a,2),3507(a,1,1))]. 3767 T((x * y) * L(x \ (y \ x),z,u),x \ (x / y)) = L(x \ (x / y),z,u) * (y * x). [para(3551(a,1),2127(a,2,2))]. 3768 T(T(x,L(y,z,u)) \ 1,T(y \ x,L(y,z,u))) = T(x,L(y,z,u)) \ K(T(x,L(y,z,u)),y). [para(2214(a,2),3613(a,1,2))]. 3769 x * (((x \ y) \ 1) / x) = (y / x) \ 1. [hyper(948,a,3614,a)]. 3770 T((x / y) \ 1,y) * (z / ((x / y) \ 1)) = (((y \ x) \ 1) * z) / ((x / y) \ 1). [para(3614(a,1),1146(a,1,1,1)),flip(a)]. 3772 K(x / y,z) * y = y * K(y \ x,z). [para(103(a,1),3635(a,1,2,1)),flip(a)]. 3773 K(x / y,z) * x = x * K(y \ x,z). [para(375(a,1),3635(a,1,2,1)),flip(a)]. 3774 K(x / (x / y),z) * x = x * K(y,z). [para(409(a,1),3635(a,1,2,1)),flip(a)]. 3775 K(x * y,z) * x = x * K(y * x,z). [para(897(a,1),3635(a,1,2,1)),flip(a)]. 3776 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(3574(a,1),3635(a,1,2,1)),flip(a)]. 3777 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [hyper(280,a,375,a,b,3642,a)]. 3778 K(x,y \ z) / y = y \ K(x,z / y). [para(103(a,1),3642(a,1,1,2))]. 3779 (x \ 1) \ K(y,T(z,x)) = K(y,z) / (x \ 1). [para(3488(a,1),3642(a,1,1,2)),flip(a)]. 3780 K(x,y / z) * y = y * K(x,z \ y). [para(3643(a,1),101(a,1,2)),flip(a)]. 3781 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = a(x,u,K(y,T(z,u))). [para(3647(a,1),9(a,2,1,2)),flip(a)]. 3782 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(18(a,1),3647(a,1,2,2))]. 3783 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(3647(a,1),38(a,1))]. 3784 K(x,y / z) * z = z * K(x,z \ y). [para(103(a,1),3647(a,1,2,2)),flip(a)]. 3785 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(191(a,1),3647(a,1,2,2))]. 3786 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(435(a,1),3647(a,1,2,2))]. 3787 K(x,y * z) * y = y * K(x,z * y). [para(897(a,1),3647(a,1,2,2)),flip(a)]. 3788 (x * (T(y,x) * K(z,T(u,y * x)))) \ (K(z,u) * (y * x)) = a(x,T(y,x),K(z,T(u,y * x))). [para(3647(a,1),216(a,1,2))]. 3789 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(2555(a,1),3647(a,1,2,2)),flip(a)]. 3790 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(2990(a,1),3647(a,1,2,2))]. 3791 K(x * y,x) * y = y * K(x * y,x). [para(2956(a,1),3647(a,1,2)),flip(a)]. 3792 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(3574(a,1),3647(a,1,2,2)),flip(a)]. 3793 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(3631(a,2),3647(a,1,2,2))]. 3794 T(K(x,y),z * y) = T(K(x,y),z). [hyper(280,a,3631,a(flip),b,3650,a),flip(a)]. 3795 K(x,y \ (z \ y)) = K(z,T(x,y)). [hyper(58,a,3570,a(flip),b,3664,a)]. 3796 K((x \ y) \ y,T(y,z)) = K(x,T(y,z)). [para(163(a,1),3664(a,2,2))]. 3797 x \ T(x,T(y \ 1,z)) = K(y,T(x,z)). [hyper(2917,a,3665,a)]. 3798 K(x / y,T(z,x)) = K(z,x \ y). [hyper(280,a,3570,a(flip),b,3666,a),flip(a)]. 3799 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [para(163(a,1),3666(a,1,2))]. 3800 K(x / y,L(T(z,y),u,w)) = K(y \ x,L(z,u,w)). [para(20(a,2),3673(a,1,2))]. 3801 K(x / (y \ z),z / y) = K((y \ z) \ x,z / y). [para(236(a,1),3673(a,1,2))]. 3802 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(3673(a,1),2888(a,2,1)),flip(a)]. 3803 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(3673(a,1),2915(a,1,1))]. 3804 K((x \ y) \ z,y \ x) != u | K(z / (x \ y),y \ x) = u. [para(3673(a,1),3316(a,1))]. 3805 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(3674(a,1),2888(a,2,1))]. 3806 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(280,a,3638,a(flip),b,3678,a),flip(a)]. 3807 (x * y) * K(x,T(z,x * y)) = T(x,z) * y. [para(3678(a,2),3410(a,1,2))]. 3808 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(3314,a,3679,a)]. 3809 K(x * y,L(T(z,x),u,w)) = K(y * x,L(z,u,w)). [para(20(a,2),3679(a,1,2))]. 3810 K(x * y,T(y,z)) = K(y * x,T(y,z)). [para(163(a,1),3679(a,1,2)),flip(a)]. 3811 K(x * y,K(y,z)) = K(y * x,K(y,z)). [para(2483(a,1),3679(a,1,2)),flip(a)]. 3812 K(x * y,z) * (y * x) = T(y * x,T(z,y)). [para(3679(a,1),2888(a,2,1)),flip(a)]. 3813 T(x,T(y,T(x,z))) = T(x,y). [hyper(280,a,2882,a,b,3692,a),flip(a)]. 3814 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(2800(a,1),3813(a,1,2,2))]. 3815 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(3813(a,1),3175(a,1,1)),flip(a)]. 3816 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [para(533(a,1),3753(a,1,2))]. 3819 T(K(x,y),z / y) = T(K(x,y),z). [para(7(a,1),3794(a,1,2)),flip(a)]. 3820 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(280,a,3665,a,b,3795,a)]. 3821 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(5(a,1),3806(a,1,2,2)),flip(a)]. 3822 K(x,L(T(y,x * z),u,w)) = K(x,T(L(y,u,w),z)). [para(20(a,2),3806(a,1,2))]. 3823 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [para(1583(a,1),3806(a,1,2))]. 3824 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(280,a,3631,a(flip),b,3821,a),flip(a)]. 3825 T(x,y) * L(y \ 1,y,z) = L(y \ 1,y,z) * x. [para(3493(a,1),3512(a,1,1))]. 3826 x \ y != z | T(y,x) / x = z. [para(3488(a,1),3555(a,1,2))]. 3827 L(T(x,y \ 1),z,x) != u | T(x,y \ x) = u. [para(854(a,2),3557(a,1))]. 3828 K(a(x,y,z),u) != w | K(u,((x * y) * z) \ (x * (y * z))) = w. [para(9(a,2),3578(a,1,1))]. 3829 K(x \ ((x / y) * L(y,z,u)),w) != v5 | K(w,(x * L(y,z,u)) \ (x * y)) = v5. [para(2402(a,1),3578(a,1,1))]. 3830 x \ (y * T(y \ x,z)) != u | K(z,x \ y) = u. [para(3387(a,2),3578(a,1))]. 3832 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3619(a,1),940(a,1,1))]. 3833 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(1816(a,2),3619(a,1,2))]. 3834 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [hyper(58,a,3094,a(flip),b,3676,a),flip(a)]. 3835 T((x * y) * z,(y * z) \ 1) != u | (y * z) * R(x,y,z) = u. [para(96(a,1),3701(a,1,1))]. 3836 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(3418(a,1),3701(a,1,2))]. 3837 T(x * (y \ z),z \ y) != u | (y \ z) * x = u. [para(3491(a,1),3701(a,1))]. 3838 T(x,K(y,z)) != u | T(x,K(z,y) \ 1) = u. [para(3489(a,1),3703(a,1,1))]. 3839 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(3637(a,1),3703(a,1,1))]. 3841 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(3566(a,2),3710(a,1))]. 3842 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(3571(a,2),3729(a,1))]. 3843 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(3798(a,2),3729(a,1))]. 3844 K((x / y) \ x,z) != u | K(y,z) = u. [para(3570(a,2),3730(a,1))]. 3847 K(x * y,y) != z | K(x,y) = z. [para(2944(a,1),3732(a,1))]. 3848 K((x / (y * x)) \ 1,z) != u | K(y,z) = u. [para(3571(a,2),3732(a,1))]. 3849 K(x * L(y,z,u),y) != w | K(x,y) = w. [para(3596(a,1),3732(a,1))]. 3850 K(x * y,x) != z | K(y,x) = z. [para(2857(a,1),3847(a,1))]. 3851 K(x \ (y * x),x) != z | K(y,x) = z. [para(2886(a,2),3847(a,1))]. 3852 K(x * y,x) != z | K(y * x,x) = z. [para(3736(a,1),3850(a,1))]. 3853 K(x \ 1,y) != z | K(1 / x,y) = z. [para(70(a,1),3734(a,1,1,1))]. 3854 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(790(a,2),3734(a,1,1))]. 3855 K(R(x,y,x),z) != u | K(x,z) = u. [para(905(a,2),3734(a,1,1))]. 3856 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(904(a,1),3855(a,1,1))]. 3857 K((x \ y) \ y,z) != u | K(T(x,y),z) = u. [para(910(a,1),3855(a,1,1))]. 3858 K(x * L(y,z,u),y) = K(x,y) * a(w,v5,w). [hyper(280,a,3053,a(flip),b,3739,a),flip(a)]. 3859 K(x / (y \ 1),y) = K(y * x,y). [para(390(a,1),3739(a,1,1))]. 3860 K(x / (y \ 1),y) = K(x * y,y). [hyper(280,a,2857,a,b,3859,a),flip(a)]. 3861 K(x,T(y,K(x,z))) != u | K(x,y) = u. [para(3631(a,2),3839(a,1))]. 3862 K(x \ (x * y),z) != u | K(y,z) = u. [para(6(a,1),3844(a,1,1,1))]. 3863 K(x \ (((x \ 1) * y) \ 1),x) != z | K(y \ 1,x) = z. [para(528(a,2),3851(a,1,1,2))]. 3864 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(3463(a,2),3853(a,1))]. 3865 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(3673(a,2),3862(a,1))]. 3866 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [para(1342(a,1),3467(a,1,1))]. 3867 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [para(67(a,1),3470(a,1,1,1)),flip(a)]. 3870 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [para(67(a,1),3485(a,1,2,1)),flip(a)]. 3872 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [para(3611(a,2),3494(a,1,2))]. 3873 T(x,K(y,z)) != K(z,y) * u | u * K(z,y) = x. [para(3528(a,1),44(a,1)),flip(a)]. 3874 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [para(3372(a,1),3528(a,1,1))]. 3875 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(3528(a,1),3629(a,1,2)),flip(a)]. 3877 (x / (y \ 1)) * L(y \ 1,y,x) = (y \ 1) \ (y \ x). [hyper(2238,a,3533,a)]. 3878 (x / y) \ ((y \ 1) \ (y \ x)) = L(y,y \ 1,x / y). [hyper(111,a,3533,a(flip),b,390,a)]. 3879 L(L((x \ 1) \ 1,x \ 1,y),y,x) = (x * y) \ (((x \ 1) \ y) * x). [para(3546(a,2),360(a,2,2))]. 3881 ((x \ ((y \ 1) \ 1)) * (y \ 1)) \ 1 = ((((y \ 1) \ 1) / x) \ 1) * y. [para(3547(a,2),528(a,1,1))]. 3882 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(3552(a,1),2535(a,1,2,1,1))]. 3883 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(3552(a,2),2535(a,1,1))]. 3884 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(3553(a,1),3033(a,2,2))]. 3885 L(T(x,x / (x * y)),x / (x * y),(x / (x * y)) \ 1) = ((x / (x * y)) \ 1) * T(x / y,x \ 1). [para(3556(a,2),683(a,2,2))]. 3886 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(70(a,1),3561(a,1,2,2))]. 3887 (x * y) * K(z,(x * y) \ (x * u)) = x * (u * T(u \ y,z)). [hyper(1348,a,3588,a),flip(a)]. 3888 K(x,y) * T(x,T(x,y) \ z) = z * T(z \ T(x,y),x). [hyper(280,a,3396,a,b,3588,a)]. 3889 (x * T(x \ y,z)) * u = (y * K(z,y \ x)) * u. [hyper(52,a,3588,a)]. 3890 L(x,y,z) * (x \ K(u,L(x,y,z) \ x)) = T(x \ L(x,y,z),u). [hyper(29,a,1915,a,b,3588,a)]. 3891 T(x * K(y,x \ z),z) = T(z \ x,y) * z. [para(3588(a,1),897(a,1,1))]. 3892 (L(x,y,z) \ u) * T(u \ (L(x,y,z) * (x \ u)),w) = (x \ u) * K(w,(x \ u) \ (L(x,y,z) \ u)). [para(2674(a,1),3588(a,1,2,1))]. 3893 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(3631(a,2),3609(a,1,2))]. 3894 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(280,a,3631,a,b,3610,a),flip(a)]. 3896 T(x * ((y * x) \ 1),x \ 1) = x * ((x * y) \ 1). [para(3627(a,1),1388(a,2,2))]. 3897 ((x * y) \ 1) * x = x * ((y * x) \ 1). [para(3627(a,1),3512(a,1,1))]. 3898 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(161(a,1),3639(a,2,2,1))]. 3899 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(161(a,1),3640(a,1,1,1)),flip(a)]. 3900 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(2482(a,1),3640(a,1,1,1)),flip(a)]. 3901 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(22(a,2),3677(a,1,1))]. 3902 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,L((y \ z) \ u,y \ z,y)). [para(569(a,1),3677(a,1,2))]. 3903 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [hyper(280,a,18,a,b,3680,a),flip(a)]. 3904 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(58,a,3476,a,b,3680,a)]. 3905 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(375(a,1),3680(a,1,1,2))]. 3906 K(x,y * z) * T(x,z) = T(T(x,z),z * y). [para(897(a,1),3680(a,1,1,2))]. 3907 ((x * y) * z) * K(x,T(y,z)) = T(x * y,y) * z. [para(3181(a,1),3682(a,1,2))]. 3908 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(207(a,2),3742(a,2,1)),flip(a)]. 3909 L(x / (y \ z),y \ z,y) = z \ (y * T(x,z \ y)). [para(3745(a,1),569(a,1,1))]. 3910 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2557(a,1),3749(a,1,1))]. 3912 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(3705,a,3757,a)]. 3913 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(70(a,1),3757(a,1,2))]. 3914 (x / y) * L(y,y \ 1,x) = y \ ((y \ 1) \ x). [hyper(34,a,2207,a,b,3760,a)]. 3916 T(T(x,y),z \ x) != u | T(T(x,z \ 1),y) = u. [para(3763(a,1),3162(a,1))]. 3917 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(3305(a,2),3780(a,1,1))]. 3918 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(3305(a,2),3784(a,1,1))]. 3919 (x * y) \ ((x * K(z,u * x)) * y) = R(T(K(z,x * u),x * y),x,y). [para(3787(a,1),710(a,1,2,1))]. 3920 x \ T(x,T(L(y,z,u) \ y,w)) = K(y \ L(y,z,u),T(x,w)). [para(1263(a,1),3797(a,1,2,2,1))]. 3922 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(280,a,2888,a,b,3805,a),flip(a)]. 3923 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(2800(a,1),3922(a,1,2,2,1))]. 3924 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(280,a,2464,a(flip),b,3808,a),flip(a)]. 3925 K(x * y,T(x,z)) = K(y,T(x,z)). [hyper(58,a,3181,a(flip),b,3810,a),flip(a)]. 3926 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(58,a,3490,a(flip),b,3816,a),flip(a)]. 3927 K(x * (y * z),z) != u | K(x * y,z) = u. [para(86(a,1),3849(a,1,1))]. 3929 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(435(a,1),3893(a,1,2,2))]. 3931 K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). [para(2975(a,1),3894(a,1,1,2))]. 3932 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(2989(a,1),3894(a,1,1,2))]. 3933 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(3900(a,1),2902(a,1,2)),flip(a)]. 3934 K(x,y \ 1) * T(x,L(T(y,z),u,w)) = T(T(x,y \ 1),L(T(y,z),u,w)). [para(3359(a,1),3903(a,1,1,2))]. 3935 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(3631(a,2),3904(a,1,2,2))]. 3936 T(x,y) * T(x,y) != z | x * T(T(x,y),y) = z. [para(2904(a,1),3378(a,1,1))]. 3938 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(2792(a,2),3440(a,1,1))]. 3939 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(2888(a,2),3440(a,1,1))]. 3940 K(x \ y,x) != z | K((x / y) \ 1,x) = z. [para(2856(a,1),3475(a,1))]. 3942 x * K(y,L(T(z,x),u,w)) != v5 | K(y,L(z,u,w)) * x = v5. [para(20(a,2),3648(a,1,2,2))]. 3945 K(x,y * L(x \ 1,z,u)) = K(x,y). [hyper(280,a,3566,a(flip),b,3738,a),flip(a)]. 3946 K(x,y * (z * (x \ 1))) = K(x,y * z). [para(86(a,1),3945(a,1,2))]. 3947 T(x,L(y,y \ 1,z)) = T(x,y). [para(70(a,1),3743(a,2,2))]. 3949 (x * y) * (y \ 1) = L(x,y,y \ 1). [para(897(a,1),3764(a,1,1))]. 3950 L(x / y,y,y \ 1) = x * (y \ 1). [para(912(a,1),3764(a,1,1)),flip(a)]. 3951 L(x,x \ y,(x \ y) \ 1) = y * ((x \ y) \ 1). [para(896(a,1),3764(a,1,1)),flip(a)]. 3952 R(x,y,y \ 1) = L(x,y,y \ 1). [hyper(598,a,3949,a)]. 3953 L(x,y,y \ 1) / (y \ 1) = x * y. [hyper(123,a,3949,a)]. 3954 (x * T(y,z)) * T(y \ 1,z) = L(x,T(y,z),T(y,z) \ 1). [hyper(58,a,3615,a,b,3949,a)]. 3955 x \ L(x,y,y \ 1) = a(x,y,y \ 1). [hyper(111,a,3949,a(flip),b,821,a)]. 3956 L(x,y,y \ 1) \ 1 = y * ((x * y) \ 1). [para(3949(a,1),298(a,1,1))]. 3960 x \ L(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(3949(a,1),1159(a,1,2))]. 3961 L(x,y,y \ 1) * (x \ 1) = a(x,y,(x * y) \ 1). [para(3949(a,1),1557(a,1,1))]. 3962 ((x / y) * (y * (y \ 1))) / (y \ 1) = x * (L(x,y,y \ 1) \ x). [para(3949(a,1),2291(a,2,2,1))]. 3963 x * L(x \ 1,y,y \ 1) = a(y,y \ 1,x). [para(3952(a,1),2096(a,1,2))]. 3964 L(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(3950(a,1),20(a,2,1))]. 3966 (x / y) \ L(x / y,y,y \ 1) = ((x * (y \ 1)) \ (x / y)) \ 1. [para(3950(a,1),1262(a,1,1,1)),flip(a)]. 3967 L(T((x \ 1) \ ((y \ 1) * (x \ 1)),z),y,z) = x * ((z \ (y \ z)) / x). [para(3950(a,1),1888(a,1,1,1,2))]. 3969 a(x \ 1,x,y) \ 1 = a(y,x,x \ 1). [hyper(58,a,1269,a,b,3955,a)]. 3970 x * a(x,y,y \ 1) != z | L(x,y,y \ 1) = z. [para(3955(a,1),239(a,1,2)),flip(b)]. 3971 a(x,y,y \ 1) * x = L(x,y,y \ 1). [para(3955(a,1),451(a,1,1))]. 3972 a(x,y,y \ 1) \ 1 = a(y \ 1,y,x). [hyper(383,a,3969,a)]. 3973 a(x,y,y \ 1) \ 1 != z | a(y \ 1,y,x) = z. [para(3969(a,1),384(a,1,1))]. 3975 T(x \ 1,R(x,y,z)) = R(x \ 1,u,x \ 1). [para(3833(a,1),1035(a,1,1)),flip(a)]. 3977 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(97(a,2),3841(a,1,2,1))]. 3978 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(17(a,2),3842(a,1,1,1))]. 3979 K(x / y,x) != z | K(y \ x,x) = z. [para(100(a,1),3843(a,1,2))]. 3983 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(3664(a,1),3857(a,1))]. 3984 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(5(a,1),3865(a,1,1,1))]. 3985 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(3983,a,3898,a)]. 3986 L(x \ 1,x,y) \ y = x * y. [hyper(280,a,3514,a(flip),b,3908,a),flip(a)]. 3987 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(183,a,3908,a)]. 3988 L(x,x \ 1,y) \ y = (x \ 1) * y. [para(378(a,1),3986(a,1,1,1))]. 3989 L(L(x \ 1,x,y),z,u) * (L(x \ 1,x,y) \ y) = (x * y) * L(L(T(x \ 1,y),x,y),z,u). [para(3986(a,1),1408(a,1,1)),flip(a)]. 3990 R(x,x \ 1,y) = L(x,x \ 1,y). [hyper(34,a,363,a,b,3988,a)]. 3992 (x \ 1) * (y \ (y / (x \ 1))) = x \ (y \ (y / (x \ 1))). [para(878(a,1),3988(a,1,1)),flip(a)]. 3993 L(x,x \ 1,y \ 1) = L(x \ 1,x,y) \ 1. [hyper(2089,a,3990,a),flip(a)]. 3994 L(x \ y,(x \ y) \ 1,x \ 1) = (y \ x) \ 1. [hyper(58,a,2091,a(flip),b,3990,a),flip(a)]. 3995 K(x \ (y * (z * x)),x) != u | K(y * z,x) = u. [para(2886(a,2),3927(a,1))]. 3996 K(x * y,y) != z | K(y * x,y) = z. [para(2908(a,1),3927(a,1))]. 3997 K(x,y) != z | K(y * x,y) = z. [para(2907(a,1),3996(a,1))]. 3998 K(x * L(y,z,u),y) != w | K(y * x,y) = w. [para(3715(a,2),3997(a,1))]. 3999 (x \ 1) \ (y * ((z * y) \ 1)) = (L(z,y,y \ 1) / x) \ 1. [para(3956(a,1),537(a,1,2))]. 4000 x * (y * ((x * y) \ 1)) = L(x,y,y \ 1) \ x. [para(3956(a,1),1917(a,1,2))]. 4003 K(x \ (x / y),T(z,x)) != u | K(x \ (y \ x),z) = u. [para(935(a,1),3984(a,1,1))]. 4004 (x * y) / (y * (z \ (x * y))) = (z * x) / (y * x). [hyper(58,a,804,a,b,3385,a)]. 4005 (x \ y) * T(T(x,y),z) = K(x,z) * y. [hyper(280,a,3635,a(flip),b,3392,a),flip(a)]. 4006 T(x,y) * (x \ z) = K(x,y) * z. [hyper(516,a,4005,a)]. 4007 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(112,a,4005,a(flip),b,496,a(flip))]. 4008 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(111,a,4005,a(flip),b,496,a(flip))]. 4009 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [para(161(a,1),4005(a,1,2,1))]. 4010 T(K(x,y) * z,x \ z) = T(T(x,z),y) * (x \ z). [para(4005(a,1),897(a,1,1))]. 4011 x \ (T(x,y) * z) = K(x,y) * z. [hyper(1647,a,4006,a)]. 4012 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(1643,a,4006,a),flip(a)]. 4013 K(x,y) \ (x \ z) = T(x,y) \ z. [hyper(111,a,1630,a(flip),b,4006,a(flip))]. 4014 K(x,y) * (x * z) = T(x,y) * z. [para(4(a,1),4006(a,1,2)),flip(a)]. 4015 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(13(a,2),4006(a,1,2)),flip(a)]. 4016 K(x,y) * (z * x) = T(x,y) * T(z,x). [para(17(a,2),4006(a,1,2)),flip(a)]. 4018 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(4006(a,1),218(a,1,2,2))]. 4019 x * (K(x,y) * z) = T(x,y) * z. [para(4006(a,1),1626(a,1,2))]. 4021 K(x,y) * T(z,x \ 1) = T(x,y) * (z / x). [para(3521(a,1),4006(a,1,2)),flip(a)]. 4022 T(x,y) \ z != x \ u | K(x,y) * u = z. [para(4007(a,1),182(a,1,1))]. 4023 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4007(a,1),237(a,1,1)),flip(b)]. 4024 x * (T(y,z) * (y \ u)) != w | x * (K(y,z) * u) = w. [para(4008(a,1),294(a,1,2,2))]. 4025 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(4011(a,1),239(a,1,2)),flip(b)]. 4026 T(T(x,y) * z,x) = (K(x,y) * z) * x. [para(4011(a,1),898(a,2,1))]. 4028 T(x,K(x,y) * z) = T(x,z). [para(4011(a,1),2374(a,1,2))]. 4029 K(x,y) * (x \ 1) = x \ K(x,y). [para(2933(a,2),4011(a,1,2)),flip(a)]. 4030 T(T(x,y) * z,K(x,y) * z) != u | T(T(x,y) * z,x \ 1) = u. [para(4011(a,1),3520(a,1,2))]. 4031 x \ (K(x,y) * z) = K(x,y) * (x \ z). [para(4006(a,1),4011(a,1,2))]. 4032 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(280,a,2583,a(flip),b,4028,a),flip(a)]. 4033 T(x,K(y,x) * z) = T(x,z). [para(2896(a,1),4028(a,1,2,1))]. 4034 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(4028(a,1),2869(a,1,1))]. 4036 T(x,K(y,y \ x) * z) = T(x,z). [para(2975(a,2),4033(a,1,2,1))]. 4037 T(x,y * T(z,x)) = T(x,y * z). [para(3195(a,1),4033(a,1,2))]. 4038 T(x,y \ T(z,x)) = T(x,y \ z). [para(3194(a,1),4033(a,1,2))]. 4039 T(x,y * K(z,x)) = T(x,y). [para(3774(a,1),4033(a,1,2))]. 4040 T(x,y * K(x,z)) = T(x,y). [para(2897(a,1),4039(a,1,2,2))]. 4041 T(x,y * (z * x)) = T(x,y * (x * z)). [para(3145(a,1),4039(a,1,2))]. 4042 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(4039(a,1),2894(a,1,2,1)),flip(a)]. 4043 T(x,T(y,x) * z) = T(x,y * z). [para(3410(a,1),4039(a,1,2))]. 4044 K(x,y * K(x,z)) = x \ T(x,y). [hyper(111,a,4040,a(flip),b,2882,a(flip)),flip(a)]. 4045 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(4040(a,1),773(a,1,2,1))]. 4046 (x * K(y,z)) * L(T(y,x),u,w) != v5 | L(y,u,w) * (x * K(y,z)) = v5. [para(4040(a,1),348(a,1,2,1))]. 4049 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4012(a,1),38(a,1))]. 4050 K(x / y,x) * ((y \ x) \ z) = (x / y) \ z. [para(375(a,1),4012(a,1,2,1))]. 4051 (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). [para(4012(a,1),897(a,1,1)),flip(a)]. 4052 T(x,T(y,x) \ z) = T(x,y \ z). [para(4012(a,1),4033(a,1,2)),flip(a)]. 4053 K(x,y) \ (T(x,y) * z) = x * z. [hyper(115,a,4014,a)]. 4054 x / (x * K(y,x)) = K(x,y). [hyper(112,a,2963,a(flip),b,4014,a)]. 4055 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(111,a,101,a(flip),b,4014,a)]. 4056 x * (T(x,y) \ z) = K(x,y) \ z. [hyper(111,a,5,a(flip),b,4014,a),flip(a)]. 4057 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [hyper(58,a,699,a(flip),b,4014,a)]. 4059 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(225(a,1),4014(a,1,2))]. 4060 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(4014(a,1),597(a,1,1,1))]. 4061 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4014(a,1),555(a,1,1))]. 4062 K(x,y) * (T(x,y) * z) = T(T(x,y),y) * z. [para(2853(a,1),4014(a,1,1))]. 4063 K(x,y) * (T(x,z) * z) = T(x,y) * (z * K(x,z)). [para(2872(a,1),4014(a,1,2))]. 4064 (K(x,y) * x) * z = K(x,y) * (x * z). [para(2888(a,1),4014(a,2,1)),flip(a)]. 4065 T(x,y \ 1) * z = K(y,x) * (x * z). [para(3566(a,1),4014(a,1,1)),flip(a)]. 4066 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(3579(a,1),4014(a,1,1))]. 4067 K(x,T(y,z)) * (T(x,z) * u) = T(T(x,z),y) * u. [para(3638(a,1),4014(a,1,1))]. 4068 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(3164(a,1),4054(a,1,2))]. 4069 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [hyper(280,a,3396,a,b,4019,a),flip(a)]. 4070 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(280,a,4006,a(flip),b,4019,a),flip(a)]. 4071 T(T(x,y) * z,x) = K(x,y) * (z * x). [hyper(226,a,865,a,b,4019,a)]. 4072 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4019(a,1),9(a,2,2,1)),flip(a)]. 4073 T(x,y) * z != x * u | K(x,y) * z = u. [para(4019(a,1),38(a,1))]. 4074 T(x,y) * T(T(z,K(x,y)),u) = x * (T(z,u) * K(x,y)). [para(223(a,1),4019(a,1,2)),flip(a)]. 4075 T(x,y \ x) * z = x * (K(y,x) * z). [para(2896(a,1),4019(a,1,2,1)),flip(a)]. 4076 K(T(x,y) * z,K(x,y) * z) = K(x,K(x,y) * z). [para(4019(a,1),2907(a,1,1))]. 4077 T(x,y \ 1) * z = x * (K(y,x) * z). [para(3566(a,1),4019(a,1,2,1)),flip(a)]. 4078 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(3662(a,1),4019(a,1,2))]. 4079 (x * K(y,x)) \ 1 = x \ K(x,y). [hyper(58,a,3432,a,b,4029,a)]. 4080 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(4036(a,1),221(a,1,2,2)),flip(a)]. 4081 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(897(a,1),4038(a,1,2,2))]. 4082 T(x,(y / x) * z) = T(x,(x \ y) * z). [para(103(a,1),4043(a,1,2,1)),flip(a)]. 4083 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(4043(a,1),1364(a,1,1)),flip(a)]. 4084 K(x,y * K(x,z)) = K(x,y). [hyper(280,a,2890,a,b,4044,a),flip(a)]. 4085 K(x,y * K(x,z)) != u | K(x,y) = u. [para(4044(a,2),2900(a,1))]. 4086 K(x,y * K(z,x)) = K(x,y). [para(2896(a,1),4084(a,1,2,2))]. 4087 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(3570(a,1),4084(a,1,2,2))]. 4088 K(x,K(x,y) * z) = K(x,z). [para(3647(a,1),4084(a,1,2))]. 4089 K(x,T(x,y) * z) = K(x,x * z). [para(3682(a,1),4084(a,1,2))]. 4090 K(x,y \ T(z,x)) = K(x,y \ z). [para(3190(a,1),4086(a,1,2))]. 4091 K(x,y * T(z,x)) = K(x,y * z). [para(3372(a,1),4086(a,1,2))]. 4092 K(x * K(y,z),z) = 1 / K(z,x). [para(4086(a,1),3417(a,1,2)),flip(a)]. 4093 K(x,K(y,x) * z) = K(x,z). [para(3635(a,1),4086(a,1,2))]. 4095 K(x * y,K(y,x) * z) = K(x * y,z). [para(2908(a,1),4088(a,1,2,1))]. 4096 K(x,K(x \ 1,y) * z) = K(x,z). [para(3581(a,2),4088(a,1,2,1))]. 4097 K(x,T(x,y) \ z) = K(x,x \ z). [para(4012(a,1),4088(a,1,2)),flip(a)]. 4098 K(x,K(y,x) \ z) = K(x,z). [para(5(a,1),4093(a,1,2)),flip(a)]. 4099 K(x,K(y,y \ x) * z) = K(x,z). [para(2975(a,2),4093(a,1,2,1))]. 4100 K(x,T(y,x) \ z) = K(x,y \ z). [para(4012(a,1),4093(a,1,2)),flip(a)]. 4101 T(x * y,T(x,y) \ z) = T(x * y,x \ z). [para(435(a,1),4052(a,1,2,1))]. 4102 T(x,(y * x) \ z) = T(x,(x * y) \ z). [para(897(a,1),4052(a,1,2,1))]. 4103 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(3501(a,1),4052(a,1,2,1))]. 4104 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4053(a,1),239(a,1,2)),flip(b)]. 4105 ((x * y) / x) \ 1 = y \ K(y,x). [para(2794(a,2),4079(a,1,1))]. 4106 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [para(4079(a,1),2933(a,2,2)),flip(a)]. 4107 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(3169(a,1),4079(a,1,1)),flip(a)]. 4108 R(x,y \ K(y,z),K(u,y)) = x. [para(4079(a,1),3725(a,1,2))]. 4109 K(x,T(x,y) * z) = K(x,z). [hyper(280,a,2989,a(flip),b,4089,a),flip(a)]. 4110 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(897(a,1),4090(a,1,2,2))]. 4111 K(x * K(y,z),z) = K(x,z). [hyper(280,a,3417,a(flip),b,4092,a),flip(a)]. 4112 K(x * K(y,z),z) != u | K(x,z) = u. [para(4092(a,2),3423(a,1))]. 4113 K(x * K(y,z),y) = K(x,y). [para(2897(a,1),4111(a,1,1,2))]. 4114 K(x * T(y,z),z) = K(x * y,z). [para(3372(a,1),4111(a,1,1))]. 4115 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(3570(a,2),4111(a,1,1,2))]. 4116 K(x * K(y,T(z,u)),z) = K(x,z). [para(3638(a,1),4111(a,1,1,2))]. 4117 K(K(x,y) * z,y) = K(z,y). [para(3635(a,1),4111(a,1,1))]. 4118 K(x / (y / z),z) = K(x / (z \ y),z). [para(3113(a,1),4113(a,1,1)),flip(a)]. 4119 K(x * T(y,z),y) = K(x * y,y). [para(3372(a,1),4113(a,1,1))]. 4120 K(K(x,y) * z,x) = K(z,x). [para(3647(a,1),4113(a,1,1))]. 4121 K(T(x,y) * z,x) = K(x * z,x). [para(3682(a,1),4113(a,1,1))]. 4122 K(K(x,y \ 1) * z,y) = K(z,y). [para(3581(a,1),4117(a,1,1,1))]. 4123 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(3675(a,1),4117(a,1,1,1))]. 4124 K(K(x,y) \ z,x) = K(z,x). [para(5(a,1),4120(a,1,1)),flip(a)]. 4125 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(4120(a,1),3126(a,1,1))]. 4126 K(K(x \ 1,y) \ z,x) = K(z,x). [para(3581(a,2),4124(a,1,1,1))]. 4127 K(K(x,y) * z,x) != u | K(z,x) = u. [para(4124(a,1),3862(a,1))]. 4128 K(x,x \ K(y,x)) = K(x,x \ 1). [para(2978(a,1),4097(a,1,2))]. 4129 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [hyper(58,a,3112,a,b,4100,a)]. 4130 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(897(a,1),4100(a,1,2,1))]. 4131 K(x,y) = x * (((y * x) / y) \ 1). [hyper(126,a,4105,a(flip)),flip(a)]. 4133 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(3410(a,1),4116(a,1,1))]. 4134 K(x * T(y,z),y) = K(x,y). [hyper(280,a,2907,a(flip),b,4119,a),flip(a)]. 4135 (x * T(y,z)) \ (y * K(x,y)) = y / (x * T(y,z)). [para(4134(a,1),2807(a,1,2,2))]. 4136 K(T(x,y) * z,x) = K(z,x). [hyper(280,a,2908,a(flip),b,4121,a),flip(a)]. 4137 (T(x,y) * z) * K(x * z,x) != u | T(T(x,y) * z,x) = u. [para(4121(a,1),2916(a,1,2))]. 4138 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(3194(a,1),4122(a,1,1))]. 4139 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(4012(a,1),4122(a,1,1)),flip(a)]. 4140 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(4126(a,1),2882(a,2,2)),flip(a)]. 4142 K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). [para(3235(a,1),4128(a,1,2,2))]. 4143 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(4131(a,2),1813(a,2,2))]. 4145 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(1495(a,1),4085(a,1,2))]. 4146 K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. [para(1504(a,1),4085(a,1,2))]. 4147 K(x,y \ ((z \ 1) \ 1)) != u | K(x,y \ z) = u. [para(1698(a,1),4085(a,1,2))]. 4148 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(3113(a,1),4085(a,1,2))]. 4149 K(x,K(x,y) * z) != u | K(x,z) = u. [para(3647(a,1),4085(a,1,2))]. 4150 K(L(x,y,x),z) != u | K(x,z) = u. [para(1472(a,2),4112(a,1,1))]. 4152 K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. [para(1490(a,1),4112(a,1,1))]. 4153 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(1743(a,1),4112(a,1,1))]. 4154 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(3190(a,1),4112(a,1,1))]. 4155 K(L(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(874(a,2),4150(a,1,1))]. 4156 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(1485(a,1),4127(a,1,1))]. 4157 K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. [para(1734(a,1),4127(a,1,1))]. 4158 (x \ K(x,y)) * L(x,z,u) = K(x,y) * (x \ L(x,z,u)). [hyper(1449,a,4031,a)]. 4159 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [para(3227(a,1),4031(a,1,2)),flip(a)]. 4160 T(x,y * (x * z)) = T(x,y * z). [hyper(58,a,2226,a(flip),b,4041,a),flip(a)]. 4161 T(T(x,y),z * (x * u)) = T(T(x,z * u),y). [para(4160(a,1),18(a,1,1)),flip(a)]. 4162 R(K(x,y),x,z) = K(x,y). [hyper(2707,a,4064,a)]. 4163 L(x,y,K(y,z)) = x. [hyper(560,a,4064,a)]. 4164 L(x,y * z,K(z,y)) = x. [hyper(58,a,3055,a(flip),b,4163,a)]. 4165 L(x,y,K(y,z)) != u | x = u. [para(4163(a,1),45(a,2))]. 4166 L(x,y,K(z,y)) = x. [para(2896(a,1),4163(a,1,3))]. 4167 L(x,T(y,z) * u,K(u,y)) = x. [para(4136(a,1),4163(a,1,3))]. 4168 (K(x,y) * y) * z = K(x,y) * (y * z). [hyper(1844,a,4166,a),flip(a)]. 4169 a(K(x,y),y,z) = 1. [hyper(48,a,4166,a)]. 4170 L(x,y,K(z,y)) != u | x = u. [para(4166(a,1),45(a,2))]. 4171 a(K(x,y),x \ 1,z) = 1. [para(3566(a,1),4169(a,1,1))]. 4172 L(K(x,y),z,u) * K(w,w \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(4162(a,1),2613(a,1,1,1))]. 4173 L(x,y * z,K(z,y)) != u | x = u. [para(4164(a,1),45(a,2))]. 4174 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(3508(a,1),4065(a,1,1)),flip(a)]. 4175 K(x,y) * (y * z) = ((x * y) / x) * z. [para(3509(a,1),4065(a,1,1)),flip(a)]. 4177 x \ (T(y,x \ 1) * z) = K(x,y) * (x \ (y * z)). [para(4065(a,2),4031(a,1,2))]. 4178 x \ (K(x,y) * z) != u | K(x,y) * (x \ z) = u. [para(4070(a,1),265(a,1,2)),flip(b)]. 4179 (K(x,y) * z) * x = K(x,y) * (z * x). [hyper(58,a,4026,a(flip),b,4071,a)]. 4180 T(T(x * y,T(x,z)) * u,x * y) = K(y,T(x,z)) * (u * (x * y)). [para(3925(a,1),4071(a,2,1))]. 4181 (x * K(y,x)) * z = x * (K(y,x) * z). [para(2838(a,1),4075(a,1,1))]. 4182 x * ((x * (K(y,x) * z)) \ x) = (x / z) * K(y \ x,x). [para(4075(a,1),2972(a,1,2,1))]. 4183 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(58,a,4065,a(flip),b,4077,a)]. 4184 L(x,y,z) * (K(u,L(x,y,z)) * w) = L(T(x,u \ 1),y,z) * w. [para(20(a,2),4077(a,1,1)),flip(a)]. 4185 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(3508(a,1),4077(a,1,1)),flip(a)]. 4186 ((x * y) / x) * z = y * (K(x,y) * z). [para(3509(a,1),4077(a,1,1))]. 4187 T(x,y) * (K(z,T(x,y)) * u) = T(T(x,y),z \ x) * u. [para(3763(a,1),4077(a,1,1)),flip(a)]. 4188 T(x,(y / x) * z) = T(x,y * z). [hyper(280,a,1583,a(flip),b,4082,a),flip(a)]. 4189 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(4095(a,1),2800(a,1,1,2))]. 4190 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(739(a,1),4129(a,1,2,1)),flip(a)]. 4191 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(3508(a,1),4138(a,1,1,2))]. 4192 K(x \ (y * z),z) = K(x \ (z * y),z). [para(3514(a,1),4138(a,1,1,2)),flip(a)]. 4193 R(K(x,y),y,z) = K(x,y). [hyper(2707,a,4168,a)]. 4196 L(x,y,K(x,z)) = x. [hyper(2109,a,4179,a)]. 4197 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(4179(a,1),358(a,1,1))]. 4198 L(T(x,y),z,K(x,u)) = T(x,y). [para(4196(a,1),20(a,2,1))]. 4199 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(4196(a,1),25(a,1,1)),flip(a)]. 4200 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(4196(a,1),558(a,1,2,1))]. 4201 L(x,y,K(z,x)) = x. [para(2896(a,1),4196(a,1,3))]. 4202 L(x,y,K(z,L(x,u,w))) = x. [hyper(136,a,4201,a)]. 4203 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(4201(a,1),25(a,1,1)),flip(a)]. 4204 (K(x,y) * z) * y = K(x,y) * (z * y). [para(4201(a,1),86(a,1,2))]. 4205 K(x,y \ L(y,z,u)) * (y \ L(y,z,u)) != w | (K(x,y \ L(y,z,u)) / y) * L(y,z,u) = w. [para(4201(a,1),2414(a,1,2))]. 4206 L(x \ 1,y,K(x,z)) = x \ 1. [para(3566(a,1),4201(a,1,3))]. 4207 (K(x,L(y,z,u)) * w) * T(y,v5) = K(x,L(y,z,u)) * (w * T(y,v5)). [para(4202(a,1),557(a,1,2,1))]. 4208 (K(x,y) * z) / T(x,u) = K(x,y) * (z / T(x,u)). [para(4198(a,1),617(a,1,2))]. 4209 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [para(4198(a,1),3988(a,1,1)),flip(a)]. 4210 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(4206(a,1),86(a,1,2))]. 4211 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(4206(a,1),1329(a,1,1)),flip(a)]. 4212 L(L(x \ 1,y,z),u,K(w,x)) = L(x \ 1,y,z). [para(3571(a,1),4199(a,1,3))]. 4213 (K(x,y) * z) / L(y,u,w) = K(x,y) * (z / L(y,u,w)). [para(4203(a,1),617(a,1,2))]. 4214 R(x,K(y,x),z) = x. [hyper(2707,a,4181,a)]. 4215 L(x,K(y,z),z) = x. [hyper(560,a,4181,a)]. 4216 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(4181(a,1),13(a,2,1)),flip(a)]. 4217 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(2869(a,1),4181(a,1,1)),flip(a)]. 4218 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(3169(a,1),4181(a,1,1)),flip(a)]. 4219 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(4181(a,1),3170(a,1,1))]. 4220 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(4214(a,1),592(a,1,1,1)),flip(a)]. 4221 R(x * y,K(y,x),z) = x * y. [para(2840(a,1),4214(a,1,2))]. 4222 R(x,K(x,y),z) = x. [para(2897(a,1),4214(a,1,2))]. 4223 L(x,K(y,z),z) != u | u = x. [para(4215(a,1),45(a,1)),flip(a)]. 4224 L(x,K(y,z),y) = x. [para(2897(a,1),4215(a,1,2))]. 4225 L(x,K(y,z),T(z,u)) = x. [para(3675(a,1),4215(a,1,2))]. 4226 R(T(x,y),K(x,z),u) = T(x,y). [para(4222(a,1),22(a,2,1))]. 4227 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4222(a,1),591(a,1,1,1)),flip(a)]. 4228 L(x,K(y * z,z),y) = x. [para(2907(a,2),4224(a,1,2))]. 4229 (x * K(x * y,y)) * z = x * (K(x * y,y) * z). [hyper(1844,a,4228,a),flip(a)]. 4230 (x * y) \ ((y * x) * z) = K(y,x) * z. [para(4221(a,1),615(a,1,1))]. 4231 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4226(a,1),592(a,1,1,1)),flip(a)]. 4232 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). [para(96(a,1),4183(a,1,2)),flip(a)]. 4233 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(4183(a,1),294(a,1))]. 4234 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4183(a,1),555(a,1,1))]. 4235 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(4183(a,1),4179(a,1,1))]. 4236 K(x,y) = ((y * x) / y) \ x. [hyper(111,a,3421,a(flip),b,4186,a),flip(a)]. 4237 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4014(a,1),4186(a,2,2))]. 4238 (x / y) \ (y \ x) = K(y \ x,y). [para(5(a,1),4236(a,2,1,1)),flip(a)]. 4239 K(x,y) * ((y * x) / y) = x. [para(4236(a,2),509(a,1,1))]. 4240 L((x * y) / x,z,u) \ L(y,z,u) = K(L(y,z,u),x). [para(1197(a,2),4236(a,2,1)),flip(a)]. 4241 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(2826(a,2),4236(a,2,1)),flip(a)]. 4242 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(2828(a,2),4236(a,2,1)),flip(a)]. 4244 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(86(a,1),4239(a,1,2,1))]. 4245 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(74(a,1),4239(a,1,2,1))]. 4246 (T(x,y) \ x) * ((x * y) / x) = y. [para(2966(a,1),4239(a,1,1))]. 4248 (x / y) * K(y \ x,y) = y \ x. [hyper(126,a,4238,a)]. 4249 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(30,a,2770,a,b,4246,a)]. 4251 (x / y) * z != y \ x | K(y \ x,y) = z. [para(4248(a,1),38(a,1)),flip(a)]. 4252 (x / y) * K(x,y) = y \ x. [para(2886(a,1),4248(a,1,2))]. 4253 (x / y) \ (y \ x) != z | K(x,y) = z. [para(4252(a,1),265(a,1,2)),flip(b)]. 4254 K(x \ y,x) != z | K(y,x) = z. [para(4238(a,1),4253(a,1))]. 4255 K(((x / y) * z) \ x,x) != u | K((x / z) * y,x) = u. [para(693(a,2),4254(a,1,1))]. 4256 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(6(a,1),4191(a,1,1,2)),flip(a)]. 4257 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(4191(a,1),3167(a,1,1,1,2))]. 4258 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5(a,1),4192(a,2,1,2))]. 4260 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(126,a,4230,a)]. 4261 K(x,y) * ((x * y) \ z) = (y * x) \ z. [para(5(a,1),4230(a,1,2)),flip(a)]. 4262 (x * y) \ (z * (y * x)) = K(y,x) * T(z,y * x). [para(101(a,1),4230(a,1,2))]. 4264 (x * y) \ (y * (x * T(K(x,z),u))) = K(y,x) * T(K(x,z),u). [para(3129(a,1),4230(a,1,2))]. 4265 T(K(x,y) * z,(y * x) \ 1) = ((x * y) * z) / (y * x). [para(4230(a,1),3508(a,1,1))]. 4267 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(628,a,4260,a)]. 4268 K(x,y) * (K(y,x) * z) = z. [hyper(29,a,4260,a(flip),b,4260,a),flip(a)]. 4270 (x * y) * (T(x,y) \ z) = (y * x) * (x \ z). [para(4012(a,1),4260(a,1,2)),flip(a)]. 4271 K(x,y) \ z = K(y,x) * z. [hyper(294,a,4268,a),flip(a)]. 4272 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(227,a,4268,a),flip(a)]. 4273 x / (K(y,z) * x) = K(z,y). [hyper(123,a,4268,a)]. 4274 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(29,a,4029,a,b,4268,a),flip(a)]. 4275 K(x,y) * (T(y,x) * z) = y * z. [hyper(29,a,4014,a,b,4268,a),flip(a)]. 4276 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(29,a,4012,a,b,4268,a),flip(a)]. 4277 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(29,a,3893,a,b,4268,a),flip(a)]. 4278 K(x \ y,x) * (x * (y / x)) = y. [hyper(29,a,2994,a,b,4268,a),flip(a)]. 4279 L(x \ 1,x,K(y,z)) = K(z,y) * (K(y,z) / x). [hyper(29,a,343,a,b,4268,a)]. 4280 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(29,a,3647,a(flip),b,4268,a),flip(a)]. 4281 T(K(x,y) * z,K(x,y)) = z / K(y,x). [hyper(112,a,4268,a(flip),b,3531,a),flip(a)]. 4282 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(111,a,4268,a(flip),b,4006,a),flip(a)]. 4283 K(x,y) * z != u | K(y,x) * u = z. [para(4268(a,1),38(a,1)),flip(a)]. 4284 x * (K(y,z) * u) != u | K(z,y) = x. [para(4268(a,1),39(a,1)),flip(a)]. 4285 K(x,y) \ z != u | K(y,x) * z = u. [para(4268(a,1),265(a,1,2)),flip(b)]. 4286 x / (K(y,z) * x) != u | K(z,y) = u. [para(4268(a,1),287(a,1,1))]. 4287 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(4268(a,1),88(a,2,2))]. 4288 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(4268(a,1),96(a,1,2))]. 4289 L(x,(K(y,z) * u) / x,K(z,y)) = (K(z,y) * ((K(y,z) * u) / x)) \ u. [para(4268(a,1),90(a,2,2))]. 4290 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(4268(a,1),897(a,1,1)),flip(a)]. 4291 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(4268(a,1),1021(a,1,1))]. 4292 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),K(u,z) * y) = w. [para(4268(a,1),823(a,1,1,2))]. 4293 T(x,y) * (K(y,x) * z) = x * z. [para(4268(a,1),4019(a,1,2)),flip(a)]. 4294 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(111,a,4271,a,b,3647,a)]. 4295 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(111,a,4271,a,b,101,a)]. 4296 x * (T(x,y) \ z) = K(y,x) * z. [hyper(58,a,4056,a,b,4271,a)]. 4297 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(58,a,1607,a(flip),b,4271,a),flip(a)]. 4298 (x * y) / (T(x,z) * y) = K(z,x). [hyper(112,a,4053,a(flip),b,4271,a(flip))]. 4299 x \ y != K(z,u) * y | K(u,z) = x. [para(4271(a,1),43(a,1)),flip(a)]. 4300 K(x,y) * (K(y,x) * z) != u | u = z. [para(4271(a,1),239(a,1,2))]. 4301 K(x,y) * (K(y,x) * z) != u | z = u. [para(4271(a,1),240(a,1,2))]. 4302 K(x,y) * (z * K(y,x)) != u | T(z,K(y,x)) = u. [para(4271(a,1),266(a,1))]. 4303 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(4271(a,1),269(a,1,1))]. 4305 (x * (K(y,z) * u)) \ u = u \ (K(z,y) * (x \ u)). [para(4271(a,1),370(a,1,1,2))]. 4306 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(4271(a,1),643(a,1,2))]. 4307 (x * (K(y,z) * u)) / u = u / (K(z,y) * (x \ u)). [para(4271(a,1),692(a,1,1,2))]. 4308 T(K(x,y) \ z,K(y,x)) = z * K(y,x). [para(4271(a,2),897(a,1,1))]. 4310 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(4271(a,1),306(a,1,1,3))]. 4311 x / a(y,K(z,u),(y * K(z,u)) \ x) = y * (K(u,z) \ ((y * K(z,u)) \ x)). [para(4271(a,2),308(a,2,2))]. 4312 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(4271(a,1),1895(a,1,1))]. 4313 (K(x,y) \ 1) \ z = K(x,y) * z. [para(3418(a,2),4271(a,1,1))]. 4314 K(K(x,y) * z,u) = K(u,z \ K(y,x)). [para(4271(a,1),3570(a,1,1))]. 4315 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(3638(a,1),4271(a,1,1))]. 4317 (x * K(y,z)) \ x = K(z,y). [hyper(58,a,921,a(flip),b,4273,a)]. 4318 K(x,y) != z / u | K(y,x) * z = u. [para(4273(a,1),40(a,1))]. 4319 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(2560(a,2),4273(a,1,2))]. 4320 x / (y * T(y \ x,z)) = K(z,x / y). [para(3470(a,1),4273(a,1,2))]. 4321 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(4029(a,1),4273(a,1,2))]. 4322 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(280,a,3112,a,b,4317,a)]. 4323 x / K(y,z) = x * K(z,y). [hyper(183,a,4317,a)]. 4324 (x * K(y,z)) * K(z,y) = x. [hyper(126,a,4317,a)]. 4325 (x / T(y,z)) * y = x * K(z,y). [hyper(34,a,3384,a,b,4317,a)]. 4326 (x * T(y,z)) * K(z,y) = x * y. [hyper(34,a,3383,a,b,4317,a),flip(a)]. 4327 a(x,y,x) = K(z,u) * K(u,u \ z). [hyper(34,a,2905,a(flip),b,4317,a)]. 4328 K(x,y) != z \ u | u * K(y,x) = z. [para(4317(a,1),43(a,1))]. 4329 x * K(y,z) != u | u * K(z,y) = x. [para(4317(a,1),122(a,1,2)),flip(b)]. 4330 (x * K(y,z)) * K(z,y) != u | x = u. [para(4317(a,1),240(a,1,2))]. 4331 x / K(y,z) != u | x * K(z,y) = u. [para(4317(a,1),288(a,1,2))]. 4332 (x * K(y,z)) * (u \ x) = x * ((u * K(z,y)) \ x). [para(4317(a,1),174(a,1,2,1,2)),flip(a)]. 4333 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [para(3217(a,1),4317(a,1,1)),flip(a)]. 4334 (x * T(y,z)) \ (x * y) = K(z,y). [para(3372(a,1),4317(a,1,1))]. 4336 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(3381(a,2),4317(a,1,1))]. 4337 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(3410(a,1),4317(a,1,1))]. 4338 (K(x,y) * z) \ z = K(y,T(x,z)). [para(3635(a,1),4317(a,1,1))]. 4339 x / K(y,T(z,u)) = x * K(z,T(y,u)). [hyper(280,a,3667,a(flip),b,4323,a),flip(a)]. 4340 T(x,y) / (x \ (z * T(x,y))) = (z \ T(x,y)) * K(y,x). [hyper(58,a,2938,a,b,4323,a)]. 4341 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(58,a,2836,a,b,4323,a)]. 4342 (x * y) / (y * K(z,y)) = x * K(y,z). [hyper(58,a,2787,a,b,4323,a)]. 4343 (x * K(y,z)) \ x != u | K(z,y) = u. [para(4323(a,1),247(a,1,1)),flip(b)]. 4344 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(4323(a,1),272(a,1,1))]. 4345 (x * K(y,z)) * (u \ x) != x * w | (u * K(z,y)) \ x = w. [para(4323(a,1),118(a,1,1))]. 4346 (x * K(y,z)) * (u \ x) != w | x * ((u * K(z,y)) \ x) = w. [para(4323(a,1),690(a,1,1))]. 4347 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(4323(a,1),1144(a,1,1,2))]. 4348 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(4323(a,1),3307(a,2,2))]. 4349 x / (K(y,z) \ 1) = x * K(y,z). [para(3418(a,2),4323(a,1,2))]. 4350 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(3214,a,4324,a),flip(a)]. 4351 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(58,a,2755,a,b,4324,a)]. 4352 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(30,a,3713,a,b,4324,a),flip(a)]. 4353 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(30,a,3662,a,b,4324,a),flip(a)]. 4354 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(30,a,3647,a,b,4324,a),flip(a)]. 4355 (x / y) * K(z,y) = x / T(y,z). [hyper(30,a,3379,a,b,4324,a),flip(a)]. 4356 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [hyper(30,a,3113,a,b,4324,a),flip(a)]. 4357 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(30,a,3096,a,b,4324,a)]. 4359 (x * K(y,z)) / z = x / T(z,y). [hyper(112,a,4324,a(flip),b,3373,a),flip(a)]. 4360 x \ ((x * K(y,z)) * (K(z,y) * u)) = L(u,K(z,y),x * K(y,z)). [para(4324(a,1),13(a,2,1)),flip(a)]. 4362 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(4324(a,1),823(a,1,1,2))]. 4363 ((x * K(y,z)) * (K(z,y) * u)) \ (x * u) != w | a(x * K(y,z),K(z,y),u) = w. [para(4324(a,1),823(a,1,2,1))]. 4364 (L(x,K(y,z),u * K(z,y)) * u) \ (x * ((u * K(z,y)) * K(y,z))) = a(u * K(z,y),K(y,z),T(x,(u * K(z,y)) * K(y,z))). [para(4324(a,1),2054(a,1,1,2))]. 4365 (x * K(y,z)) * T(z,y) = x * z. [para(4324(a,1),3377(a,1,1)),flip(a)]. 4366 (x * (K(y,z) \ 1)) * K(y,z) = x. [para(3418(a,2),4324(a,1,1,2))]. 4367 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(4274(a,1),287(a,1,1))]. 4368 K(x,y \ (y / z)) * (T(y \ (y / z),x) * (u \ y)) = y * ((u * (z * y)) \ y). [hyper(280,a,1003,a(flip),b,4275,a),flip(a)]. 4369 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(111,a,4275,a(flip),b,4016,a(flip))]. 4372 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(4275(a,1),555(a,1,1)),flip(a)]. 4373 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4275(a,1),4019(a,1,2)),flip(a)]. 4374 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4275(a,1),4123(a,1,1)),flip(a)]. 4375 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [hyper(111,a,4276,a(flip),b,3647,a)]. 4376 T(x,y) \ (x * z) = K(y,x) * z. [para(4(a,1),4276(a,1,2)),flip(a)]. 4377 T(x,y) \ (z * x) = K(y,x) * T(z,x). [para(17(a,2),4276(a,1,2)),flip(a)]. 4378 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(2890(a,2),4276(a,1,2)),flip(a)]. 4379 T(x,y \ x) \ z = K(x,y) * (x \ z). [para(2897(a,1),4276(a,1,1)),flip(a)]. 4380 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(3638(a,1),4276(a,1,1))]. 4382 (T(x,y) \ z) * x != u | T(K(y,x) * z,x) = u. [para(4282(a,1),954(a,1,1))]. 4383 K(x,y) * (z * T(y,x)) = T(y * z,T(y,x)). [hyper(1079,a,4293,a),flip(a)]. 4384 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(280,a,2991,a(flip),b,4293,a),flip(a)]. 4385 T(x,y) * z != x * u | K(y,x) * u = z. [para(4293(a,1),38(a,1)),flip(a)]. 4386 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(4293(a,1),265(a,1,2)),flip(b)]. 4387 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(4295(a,1),2136(a,1,2,2,1))]. 4388 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(4295(a,1),2253(a,1,2,2,1))]. 4389 T(K(x,y) * z,y) = T(y,x) \ (z * y). [hyper(226,a,4204,a,b,4296,a)]. 4390 T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. [hyper(29,a,3241,a,b,4296,a)]. 4391 (x * y) \ (K(z,y * x) * u) = K(y,x) * (T(y * x,z) \ u). [hyper(111,a,4296,a(flip),b,4260,a)]. 4393 x \ (K(y,x) * z) != u | T(x,y) \ z = u. [para(4296(a,1),265(a,1,2)),flip(b)]. 4394 (x * y) * ((y * x) \ z) = K(x,x * y) * z. [para(897(a,1),4296(a,1,2,1))]. 4395 (x / T(x,y)) * z = x * (T(x,y) \ z). [para(2967(a,1),4296(a,2,1)),flip(a)]. 4396 K(x,y) * (K(z,T(y,x)) * u) = y * (T(T(y,x),z) \ u). [para(4296(a,1),4275(a,1,2))]. 4397 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(22(a,2),4298(a,1,2,1))]. 4398 K(x,y) * (T(y,x) * z) != u | y * z = u. [para(4298(a,1),237(a,1,1)),flip(b)]. 4399 T(x / T(y,z),y) = y \ (x * K(z,y)). [hyper(226,a,4325,a,b,5,a)]. 4400 (x / T(y,z)) \ (x * K(z,y)) = y. [hyper(115,a,4325,a)]. 4404 (T(x,y) \ (T(x,y) / z)) * x = (z \ T(x,y)) * K(y,x). [para(935(a,1),4325(a,1,1))]. 4405 T(x * K(y,z),z \ 1) = z * (x / T(z,y)). [para(4325(a,1),3514(a,1,1))]. 4406 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(3758(a,1),4325(a,1,1))]. 4409 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(4326(a,1),3377(a,1,1)),flip(a)]. 4410 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(2978(a,1),4333(a,2,1)),flip(a)]. 4411 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(4334(a,1),239(a,1,2)),flip(b)]. 4413 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(226,a,4349,a(flip),b,4268,a),flip(a)]. 4414 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(4352(a,1),97(a,2,2))]. 4415 (x * y) / T(y,z) = x * K(z,y). [para(6(a,1),4355(a,1,1)),flip(a)]. 4416 T(x,y) / T(y,z) = (y \ x) * K(z,y). [para(929(a,1),4355(a,1,1)),flip(a)]. 4417 (x \ (x / y)) * K(z,x) = (y \ x) / T(x,z). [para(935(a,1),4355(a,1,1))]. 4418 (x * (y / x)) * K(z,x / y) = x / T(x / y,z). [para(946(a,1),4355(a,1,1))]. 4419 T(x,y) / T(x,z) = K(x,y) * K(z,x). [para(2887(a,2),4355(a,1,1)),flip(a)]. 4420 (x / (y \ z)) * K(y,z) = x / T(y \ z,z). [para(2896(a,1),4355(a,1,2))]. 4421 x / T(y,z \ y) = (x / y) * K(y,z). [para(2897(a,1),4355(a,1,2)),flip(a)]. 4422 K(x,y) * ((z / x) \ 1) = (z / T(x,y)) \ 1. [para(4355(a,1),3432(a,1,1)),flip(a)]. 4423 x / (T(x,y) * (z \ x)) = z / T(x,y). [hyper(58,a,2984,a,b,4359,a)]. 4424 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(115,a,4365,a)]. 4425 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(112,a,2994,a(flip),b,4365,a)]. 4427 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(111,a,5,a(flip),b,4365,a)]. 4428 (x \ y) * K(y,x) = x \ T(y,x). [hyper(30,a,3339,a,b,4365,a),flip(a)]. 4432 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(20(a,2),4369(a,1,1))]. 4433 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(20(a,2),4376(a,1,1))]. 4434 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(4376(a,1),239(a,1,2)),flip(b)]. 4436 T(x,y) / ((T(x,y) / x) * z) = (T(x,y) / z) * K(y,x). [hyper(58,a,694,a(flip),b,4415,a)]. 4437 T(x * K(y,z),x * z) = T(z,y) \ (x * z). [para(4415(a,1),375(a,1,1))]. 4439 x \ T(x * y,x) = y * K(x * y,x). [para(4(a,1),4428(a,1,1)),flip(a)]. 4440 T(x,y) * K(x * y,y) = y \ T(x * y,y). [para(17(a,2),4428(a,1,1))]. 4441 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(17(a,2),4285(a,1))]. 4442 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(3638(a,1),4285(a,1,1))]. 4443 T(x,y) \ z != u | K(y,x) * (x \ z) = u. [para(4013(a,1),4285(a,1))]. 4447 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4012(a,1),4300(a,1,2)),flip(b)]. 4450 K(x,x \ y) = K(x,y) * a(z,u,z). [hyper(4283,a,4327,a(flip)),flip(a)]. 4452 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(3638(a,1),4329(a,1,2))]. 4453 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(3379(a,1),4330(a,1,1))]. 4455 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(3638(a,1),4331(a,1,2))]. 4458 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(3217(a,1),4343(a,1,1))]. 4459 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(3169(a,1),4343(a,1,1))]. 4460 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(3381(a,2),4343(a,1,1))]. 4461 (T(x,y) * z) \ (x * z) != u | K(y,T(x,z)) = u. [para(3410(a,1),4343(a,1,1))]. 4462 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(3638(a,1),4343(a,1,1,2))]. 4463 K(x,x \ y) = a(z,u,z) * K(x,y). [hyper(280,a,869,a,b,4450,a),flip(a)]. 4464 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(4463(a,2),2105(a,1,3))]. 4465 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(4463(a,2),2684(a,1,1))]. 4466 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(4261(a,1),4019(a,1,2)),flip(a)]. 4467 K(x,(y * x) \ z) != u | K(x,(x * y) \ z) = u. [para(4261(a,1),4149(a,1,2))]. 4468 L(x \ (y * K(z,u)),x,K(u,z)) = (K(u,z) * x) \ T(y,K(z,u)). [para(4272(a,1),88(a,2,2))]. 4469 K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. [para(4277(a,1),4300(a,1,2)),flip(b)]. 4470 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(280,a,2450,a(flip),b,4319,a),flip(a)]. 4471 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(1343(a,1),4320(a,1,2))]. 4472 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(2010(a,1),4320(a,1,2))]. 4476 (x * (y * T(y \ z,u))) \ (x * z) = K(u,(x * y) \ (x * z)). [para(1342(a,1),4336(a,1,1))]. 4477 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(1343(a,1),4336(a,1,1))]. 4478 (T(x,y) * z) \ (x * z) = T(K(y,x),z). [hyper(280,a,3631,a(flip),b,4337,a),flip(a)]. 4479 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(58,a,2831,a(flip),b,4341,a)]. 4480 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(175,a,4342,a)]. 4481 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(58,a,141,a(flip),b,4342,a)]. 4482 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [para(2785(a,1),4342(a,1,1))]. 4483 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1688(a,1),4351(a,1,2))]. 4485 K(x,y) * (x * (T(y,x) * z)) = x * (y * z). [hyper(58,a,4014,a,b,4373,a)]. 4486 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4373(a,1),1639(a,1,1))]. 4487 T(x,K(y,z)) * (K(y,T(z,x)) * u) = x * (K(y,z) * u). [para(3631(a,2),4373(a,1,2,1))]. 4488 T(x,y) * ((x \ 1) * y) = x * (y * (x \ 1)). [para(3507(a,1),4373(a,1,2))]. 4489 T(x,y) * (y * (x * z)) = x * (y * (T(x,y) * z)). [para(4373(a,1),4373(a,1,2))]. 4491 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(280,a,3662,a,b,4378,a),flip(a)]. 4492 x \ y != K(z,u) * (z \ y) | T(z,u \ z) = x. [para(4379(a,1),43(a,1)),flip(a)]. 4493 (x * (y / x)) \ z = K(y,x) * (y \ z). [para(974(a,1),4379(a,1,1))]. 4494 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(2838(a,1),4379(a,1,1))]. 4495 T(K(x,y) * (T(y,x) / z),y) = ((T(y,x) / y) * z) \ T(y,x). [hyper(280,a,693,a,b,4389,a),flip(a)]. 4496 T(K(x,y) * z,y) = K(x,y) * T(z,y). [hyper(280,a,4377,a(flip),b,4389,a),flip(a)]. 4497 T(K(x,y) * z,y) / T(z,y) = K(x,y). [hyper(112,a,4389,a,b,4377,a(flip))]. 4498 T(K(x,y \ 1) * (z * y),y \ 1) = T(y \ 1,x) \ L(z,y,y \ 1). [para(3949(a,1),4389(a,2,2))]. 4499 (x * T(y,z)) \ y = T(y,z) \ (x \ y). [hyper(118,a,4395,a)]. 4500 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(111,a,86,a(flip),b,4409,a)]. 4501 (x * T(y,K(z,u))) * K(z,T(u,y)) = (x * y) * K(z,u). [hyper(58,a,3644,a,b,4409,a)]. 4502 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(58,a,1646,a(flip),b,4416,a)]. 4503 (x \ y) \ T(y / T(x,z),x) = K(z,x). [hyper(111,a,1646,a(flip),b,4416,a(flip))]. 4504 (x / y) / T(x,z) = x / (T(x,z) * y). [para(70(a,1),4423(a,1,2,2)),flip(a)]. 4505 x / (T(x,y) * T(z,x)) = (z \ x) / T(x,y). [para(411(a,2),4423(a,1,2,2))]. 4506 ((x * y) * K(z,x \ (x / y))) \ x = T((x * y) \ x,z). [para(304(a,1),4427(a,1,1,2,2))]. 4507 x * (y * K(x * y,x)) = T(x * y,x). [hyper(126,a,4439,a)]. 4508 T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). [hyper(58,a,2321,a,b,4439,a)]. 4509 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(58,a,1089,a,b,4439,a)]. 4510 x \ T(x * y,x) = y * K(y * x,x). [para(2857(a,2),4439(a,2,2))]. 4511 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [para(3570(a,2),4464(a,1,3))]. 4512 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(4119(a,2),4465(a,2,1)),flip(a)]. 4513 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(4480(a,1),2262(a,1,1)),flip(a)]. 4514 T(x,y) \ ((K(x,y) * K(z,x)) * (u \ T(x,y))) = (u * T(T(x,z),T(x,y))) \ T(x,y). [para(4491(a,1),728(a,1,2,1))]. 4516 ((x * y) / x) \ z = K(y,x) * (y \ z). [para(947(a,2),4493(a,1,1))]. 4517 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(2803(a,1),4494(a,1,1)),flip(a)]. 4518 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [para(5(a,1),4496(a,1,1)),flip(a)]. 4519 T(K(x,x / y) * z,x / y) = K(y,x) * T(z,x / y). [para(2944(a,1),4496(a,2,1))]. 4520 T(x * y,x) / T(T(x,z) * y,x) = K(z,x). [para(4275(a,1),4497(a,1,1,1))]. 4521 T(x / T(y,T(z,u)),y) = (y \ x) * K(z,T(y,u)). [hyper(280,a,3667,a(flip),b,4502,a),flip(a)]. 4522 (x * (y \ z)) \ (x * T(z / T(y,u),y)) = L(K(u,y),y \ z,x). [para(4502(a,2),13(a,2,2,2)),flip(a)]. 4523 T(x / T(y,z),y) * L((y \ x) \ ((y \ x) / K(z,y)),u,w) = (y \ x) * (K(z,y) * L(K(z,y) \ 1,u,w)). [para(4502(a,2),1566(a,1,1))]. 4524 (x \ y) * K(z,x) != u | T(y / T(x,z),x) = u. [para(4503(a,1),239(a,1,2)),flip(b)]. 4525 (x * y) / (T(x * y,x) * z) = ((x * y) / z) / (y * x). [para(897(a,1),4504(a,1,2)),flip(a)]. 4528 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [para(4516(a,2),4019(a,1,2))]. 4529 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(58,a,494,a(flip),b,4518,a),flip(a)]. 4530 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(4518(a,1),2326(a,1,1)),flip(a)]. 4531 (x \ y) * (z * (x / z)) = T(y * K(z,x),x). [hyper(280,a,3148,a,b,4529,a)]. 4532 T(x,y) * z != u | K(x,y) * (x * z) = u. [para(4(a,1),4023(a,1,2))]. 4533 T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. [para(17(a,2),4023(a,1,2))]. 4534 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4282(a,1),4023(a,1,2))]. 4536 x * (x * y) != z | T(x,y) * (y * x) = z. [para(2860(a,1),4025(a,1,2))]. 4538 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(3396(a,2),4073(a,1))]. 4541 K(x,y) * T(x,z \ 1) != u | T(x,y) * K(z,x) = u. [para(3519(a,2),4104(a,1,2))]. 4543 K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). [hyper(112,a,4142,a(flip),b,2867,a)]. 4544 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(17(a,1),4154(a,1,1,2))]. 4545 K(x \ (y * z),z) != u | K(x \ (z * y),z) = u. [para(897(a,1),4154(a,1,1,2))]. 4546 K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u. [para(898(a,1),4154(a,1,1,2))]. 4550 T(x * y,z) \ ((y * x) * u) != w | K(z,x * y) * (K(y,x) * u) = w. [para(4260(a,1),4386(a,1,2))]. 4552 K(x,y) * T((z * y) / z,x) != u | y * K(z,T(y,x)) = u. [para(2820(a,2),4398(a,1,2))]. 4554 K(x,y) * (K(z,T(y,x)) * u) != w | y * (T(T(y,x),z) \ u) = w. [para(4296(a,1),4398(a,1,2))]. 4555 K(x \ 1,x) * K(y,z) != u | (T(z,y) \ 1) * z = u. [para(394(a,2),4411(a,1,1))]. 4556 (x \ T(y,z)) * K(z,y) != u | L(x \ 1,x,T(y,z)) * y = u. [para(1063(a,1),4411(a,1,1))]. 4559 T(x,y) * (T(y,x) * z) != u | x * (y * z) = u. [para(4014(a,1),4434(a,1,2))]. 4560 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(4268(a,1),4434(a,1,2))]. 4562 K(x,y) * K(y,z) != u | T(y,x) \ T(y,z) = u. [para(2890(a,2),4447(a,1,2))]. 4564 x \ y != z | y / T(x,y) = z. [para(4252(a,1),4453(a,1))]. 4565 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(3004(a,1),4560(a,1))]. 4567 ((x * y) * (z \ (x * y))) / T(x,y) = (((x * y) / z) * (y * x)) / x. [para(373(a,1),3398(a,1,1))]. 4568 x \ (((x / (y * z)) * z) * T(y,z)) = (((x / z) * (z * y)) / y) \ x. [para(3398(a,1),2539(a,1,1)),flip(a)]. 4569 ((x * y) * T(z,y)) \ (x * (z * y)) = (x * y) \ ((x * (y * z)) / z). [para(3398(a,1),2546(a,2,2))]. 4570 (x * ((K(y,z) * u) * y)) / T(K(y,z) * u,y) = (x * (T(y,z) * u)) / (K(y,z) * u). [para(4019(a,1),3398(a,2,1,2))]. 4571 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(2794(a,2),3414(a,1,1,2))]. 4572 K((x \ 1) \ y,x) = K(x * y,x). [hyper(29,a,4439,a(flip),b,3447,a(flip)),flip(a)]. 4573 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [para(3447(a,1),1048(a,1,1))]. 4574 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(3447(a,1),2298(a,2,2,1))]. 4575 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(58,a,2465,a(flip),b,4572,a),flip(a)]. 4578 T(x,T(y,K(z,x))) = T(x,y). [hyper(30,a,3682,a(flip),b,3480,a(flip)),flip(a)]. 4580 L(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y * L(x,z,u)) / T(T(x,y \ 1),y). [para(3523(a,1),2242(a,1,1)),flip(a)]. 4581 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(3532(a,1),4439(a,1,2,1)),flip(a)]. 4582 T(T(x,y) * z,x \ 1) = T(x * (z * K(x,y)),z). [para(3554(a,1),915(a,1,1)),flip(a)]. 4583 T(x,y * (z * (y \ x))) = y * (K(x,z) * (y \ x)). [para(3589(a,1),1906(a,1,2)),flip(a)]. 4584 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(111,a,3615,a(flip),b,3591,a)]. 4585 T(x * (y \ 1),y) * K(z,y) = T(x * T(y \ 1,z),y). [para(3591(a,1),4529(a,1,1)),flip(a)]. 4586 R(x,K(y \ 1,z),y) = ((x * u) * K(u \ 1,w)) / (u * K(u \ 1,w)). [hyper(280,a,15,a(flip),b,3593,a),flip(a)]. 4587 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1875,a,3594,a)]. 4588 T(L(x,y,y \ 1) \ 1,z) = y * ((T(x,z) * y) \ 1). [hyper(280,a,3956,a(flip),b,3617,a),flip(a)]. 4589 L(T(L(x,y,z) \ 1,y),(z * y) \ (z * (x * y)),z * (x * y)) = (z * (x * y)) \ (z * y). [para(3617(a,2),840(a,1,1))]. 4590 (x * T((y \ 1) / z,u)) \ 1 = T((z \ 1) \ y,u) * (x \ 1). [para(535(a,1),3620(a,1,1,1)),flip(a)]. 4591 T(x \ 1,y) * (T(x,y) * z) = (z * T(x,y)) * T(x \ 1,y). [para(3626(a,1),101(a,1,2))]. 4592 T(x,y) != K(z,L(T(u,y),w,v5)) | K(z,L(u,w,v5)) = x. [para(3646(a,2),44(a,1)),flip(a)]. 4593 T((x \ 1) \ 1,y) \ ((T(z,u) \ 1) \ K(w,z)) = T(x,y) \ (T(z,u) * K(w,z)). [para(3687(a,1),1773(a,2,2))]. 4594 K(L(x,y,z) * u,x) = K(x * u,x). [hyper(280,a,3739,a(flip),b,3721,a),flip(a)]. 4596 K(x * (L(x,y,z) \ u),x) = K(u,x). [para(5(a,1),4594(a,1,1)),flip(a)]. 4597 K(x,y * L(x,z,u)) = K(x,y). [hyper(3158,a,3724,a),flip(a)]. 4599 K(x,y / L(x,z,u)) = K(x,y). [para(7(a,1),4597(a,1,2)),flip(a)]. 4600 K(x,y * (z * x)) = K(x,y * z). [para(86(a,1),4597(a,1,2))]. 4602 K(x \ K(x,y),x) = K(z \ 1,z). [hyper(30,a,733,a,b,3776,a),flip(a)]. 4603 K(x,y) / (K(x,y) / x) = x * K(z \ 1,z). [para(4602(a,1),2868(a,2,2))]. 4604 T(K(x,y) / z,K(x,y)) != u / z | K(x,T(y,z)) = u. [para(3777(a,2),41(a,1))]. 4605 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(3777(a,2),4355(a,1,1))]. 4606 T(x,y) * T(y * K(z,y),x) = (y * K(z,y)) * T(x,y). [para(3814(a,1),101(a,1,2))]. 4607 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(7(a,1),3823(a,1,2,2)),flip(a)]. 4608 K(x * L(y,z,u),y) = K(x,y) * a(w,v5,L(w,v6,v7)). [para(1016(a,2),3858(a,2,2))]. 4609 (x \ y) * T((x \ y) \ y,z) != u * y | K(x,z) = u. [para(3867(a,2),39(a,1))]. 4610 T(x * T(y,z),K(z,y)) = T(T(y,z) * x,y). [hyper(280,a,4071,a,b,3874,a),flip(a)]. 4611 (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. [hyper(126,a,3912,a(flip))]. 4613 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). [para(3912(a,2),3087(a,1,2,2))]. 4614 (((1 / x) * (x * y)) \ (x * y)) \ (x * y) = (1 / x) * (y * x). [hyper(58,a,1359,a(flip),b,3913,a),flip(a)]. 4615 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(280,a,3324,a,b,3917,a)]. 4616 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [hyper(280,a,3301,a(flip),b,3917,a),flip(a)]. 4618 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(58,a,2235,a,b,3926,a)]. 4619 L(x / y,(x / y) \ 1,x \ 1) = (y / x) \ 1. [para(990(a,1),3993(a,2,1))]. 4620 K(L(x,y,z) * u,x) != w | K(x * u,x) = w. [para(3721(a,2),3998(a,1))]. 4621 K(x,y) * ((y \ x) \ z) = (x / y) \ z. [para(2940(a,1),4050(a,1,1))]. 4622 (x / y) \ ((y \ x) * z) = K(x,y) * z. [para(4(a,1),4621(a,1,2)),flip(a)]. 4623 (x / y) \ (z * (y \ x)) = K(x,y) * T(z,y \ x). [para(17(a,2),4621(a,1,2)),flip(a)]. 4625 T(x,T(y,z)) / y = T(y \ x,K(y,z)). [hyper(58,a,3406,a(flip),b,4051,a)]. 4626 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(58,a,3382,a(flip),b,4055,a)]. 4627 T(x,y) * (T(x,y) * z) = x * (T(T(x,y),y) * z). [para(4062(a,1),4019(a,1,2)),flip(a)]. 4628 K(x,T(y,z)) * K(x,z) = x \ T(T(x,z),y). [hyper(111,a,3680,a(flip),b,4069,a),flip(a)]. 4629 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(3137(a,1),4087(a,1,2))]. 4630 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(4101(a,2),3758(a,1,2))]. 4631 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(58,a,3786,a,b,4174,a)]. 4632 K(x,y) * ((x \ y) * z) = (y / x) * z. [para(2975(a,1),4174(a,1,1))]. 4633 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(4174(a,1),4099(a,1,2))]. 4634 (x / y) * ((y \ x) \ z) = K(y,x) * z. [hyper(294,a,4632,a),flip(a)]. 4635 T(x,y) \ ((y \ x) * z) = x \ ((x / y) * z). [hyper(111,a,4632,a(flip),b,4296,a),flip(a)]. 4637 (x \ y) \ ((y / x) * z) = K(x,y) * z. [hyper(58,a,1673,a,b,4634,a)]. 4638 (x / y) \ (K(y,x) * z) != u | (y \ x) \ z = u. [para(4634(a,1),265(a,1,2)),flip(b)]. 4639 (x \ y) * (K(x,y) * z) = (y / x) * z. [hyper(126,a,4637,a)]. 4641 ((x \ y) * K(x,y)) * L(((x \ y) * K(x,y)) \ z,u,w) = (y / x) * L(K(x,y) \ ((x \ y) \ z),u,w). [hyper(58,a,1567,a,b,4639,a)]. 4642 ((x / y) * z) / (y \ x) = T(K(y,x) * z,x \ y). [hyper(112,a,4639,a(flip),b,3749,a)]. 4643 (x / y) * (y / x) = (y \ x) * (x \ y). [para(3040(a,1),4639(a,1,2)),flip(a)]. 4644 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(111,a,5,a(flip),b,4185,a),flip(a)]. 4645 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(4014(a,1),4185(a,1,2))]. 4646 (x * (y / x)) * (x * z) = y * (T(x,y) * z). [para(947(a,1),4237(a,1,1))]. 4647 (x * (y / x)) * ((y / x) \ z) = y * (T(y / x,x) \ z). [hyper(286,a,4270,a),flip(a)]. 4650 (x * (y / z)) * K(y,z) = x * (z \ y). [para(2886(a,1),4350(a,1,2))]. 4651 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(4350(a,1),4115(a,1,1)),flip(a)]. 4652 ((x * (y / z)) / y) * K(y,z) = (x * (z \ y)) / y. [para(4650(a,1),3408(a,1,1)),flip(a)]. 4653 (x * (y \ z)) * T(y,z) = (x * (z / y)) * y. [para(4650(a,1),4365(a,1,1))]. 4654 K(x \ 1,x) * ((y / (z \ 1)) * u) = (y / (1 / z)) * u. [para(4356(a,1),1399(a,2,1))]. 4655 K(x * y,T(x,z)) = a(u,w,u) * K(y,T(x,z)). [hyper(3056,a,4374,a),flip(a)]. 4656 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(4374(a,1),3061(a,1,2,1,2)),flip(a)]. 4657 (x \ y) \ (T(x,z) \ y) = K(z,T(x,y)). [hyper(280,a,3087,a(flip),b,4375,a),flip(a)]. 4658 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(126,a,4657,a)]. 4659 (x * y) * ((y * x) \ z) = K(x,y) * z. [para(2989(a,1),4394(a,2,1))]. 4660 (x * y) * ((y * x) \ y) = y * K(x,y). [hyper(280,a,2558,a(flip),b,4659,a),flip(a)]. 4661 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(115,a,4659,a)]. 4662 K(x,y) * ((y * x) * z) = (x * y) * z. [para(4(a,1),4659(a,1,2)),flip(a)]. 4663 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(111,a,4660,a(flip),b,138,a(flip))]. 4665 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(5(a,1),4662(a,1,2,1))]. 4666 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(2267(a,2),4662(a,1,2))]. 4667 T(x * K(y * z,y * (z * u)),(y * (z * u)) \ 1) = (y * (z * u)) * (x / (L(u,z,y) * (y * z))). [para(923(a,1),4405(a,2,2,2))]. 4668 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(3417(a,2),4413(a,1,1))]. 4669 K(L(x,y,z),u) * ((L(x,y,z) \ x) \ 1) = (x / T(L(x,y,z),u)) \ 1. [para(449(a,1),4422(a,1,2,1))]. 4670 x * ((y * x) \ (z * (x * y))) = T(x,y) * T(z,x * y). [para(17(a,2),4466(a,1,2)),flip(a)]. 4671 a(x,T(y,x),(y * x) \ z) = (x * (y * ((x * y) \ z))) \ z. [para(4466(a,1),1558(a,1,1,2)),flip(a)]. 4672 T(x,y) * (y * (x * z)) != u | x * (y * (T(x,y) * z)) = u. [para(4485(a,1),4434(a,1,2))]. 4673 (x \ y) / T(y,x) = y / (y * x). [para(1638(a,1),4505(a,1,2)),flip(a)]. 4674 x / T(T(x,y) * z,x) = (z \ x) / T(x,y). [para(1644(a,2),4505(a,1,2))]. 4675 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z). [para(2890(a,2),4517(a,1,2))]. 4676 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(58,a,1963,a,b,4528,a)]. 4677 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(280,a,2501,a,b,4571,a),flip(a)]. 4678 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(3311,a,4575,a)]. 4679 K(x,y) / (K(x,y) / x) = 1 / (1 / x). [hyper(280,a,2868,a,b,4603,a),flip(a)]. 4680 (1 / (1 / x)) \ K(x,y) = K(x,y) / x. [hyper(175,a,4679,a)]. 4681 K(x,y) / (1 / y) = 1 / (K(y,x) / y). [para(4680(a,1),3485(a,1,2)),flip(a)]. 4682 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(4681(a,1),3166(a,1,1))]. 4683 T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. [hyper(226,a,4611,a,b,5,a)]. 4684 T(x * y,y) \ (T(x,y) * L(y,z,u)) = x \ ((x / y) * L(y,z,u)). [hyper(58,a,2423,a,b,4635,a)]. 4685 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(4644(a,1),4149(a,1,2))]. 4687 ((x \ y) * (z / (x \ y))) * T(y,x) = z * (T(x \ y,z) * x). [para(898(a,2),4646(a,1,2))]. 4688 ((x * (y / x)) * (x * z)) \ ((x * y) * z) = a(y,T(x,y),z). [para(4646(a,2),216(a,1,1))]. 4693 (x * (y / x)) \ x = y \ (y / (y / x)). [para(2806(a,2),4663(a,1,2)),flip(a)]. 4694 x * ((y * (x / y)) \ y) = x / (x / y). [hyper(126,a,4693,a(flip))]. 4695 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(198,a,4665,a),flip(a)]. 4697 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(2030,a,4695,a)]. 4698 (x \ y) / T(y,z) = (T(y,z) * x) \ y. [hyper(431,a,4674,a),flip(a)]. 4699 (x \ (x / y)) * K(z,x) = (T(x,z) * y) \ x. [hyper(58,a,4417,a,b,4698,a)]. 4700 (T(x,y) * y) \ x = x / (x * y). [hyper(58,a,4673,a(flip),b,4698,a),flip(a)]. 4701 (T(T(x,y),y \ 1) * z) \ T(x,y) = (z \ T(x,y)) / x. [para(3488(a,1),4698(a,1,2)),flip(a)]. 4702 T(x * y,y) \ x = x / (x * y). [para(917(a,2),4700(a,1,1))]. 4705 (x / y) * K(z,y) != u | x * T(x \ (x / y),z) = u. [para(3583(a,1),3399(a,1,2))]. 4706 (x \ y) * K(z,T(x,y)) != u | y * T(y \ (x \ y),z) = u. [para(3599(a,1),3399(a,1,2))]. 4707 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(1343(a,1),3451(a,1,2))]. 4708 T(K(x,y) * (x \ (y * z)),(x / y) \ 1) = L(z / (x / y),x / y,y). [para(4493(a,1),3535(a,1,1))]. 4709 (x * (1 \ x)) * ((x * (y \ x)) \ x) = x * (L(x / y,x,x \ 1) \ x). [para(3542(a,1),317(a,2,2,1))]. 4710 (x * (y \ 1)) * y = L(x,y \ 1,y). [para(897(a,1),3545(a,1,1))]. 4711 T((x \ 1) \ y,z) * (x \ 1) = T(x * y,z) / x. [hyper(112,a,660,a(flip),b,4710,a),flip(a)]. 4712 x * (L(y,x \ 1,x) \ x) = (y * (x \ 1)) \ x. [para(4710(a,1),475(a,1,2,1))]. 4713 L(T(x / (y \ 1),z),y \ 1,y) = (y \ T(y * x,z)) * y. [para(1451(a,1),4710(a,1,1)),flip(a)]. 4714 T(x / y,L(y \ 1,y,x)) = x * (x / (x * y)). [hyper(280,a,3556,a(flip),b,3560,a),flip(a)]. 4715 L(T(x \ 1,y),T(x,y),L(x,z,u) * y) = (L(x,z,u) * y) \ (L(x,z,u) * (x \ y)). [hyper(111,a,2242,a(flip),b,3618,a),flip(a)]. 4716 x * L(T(T(y \ 1,z),u),T(T(y,z),u),x) = x / T(T(y,z),u). [para(3611(a,2),3618(a,1,2,1,1))]. 4717 T(x,y) \ T(x,z) != u | K(x,z) * K(y,x) = u. [para(4378(a,2),3663(a,1))]. 4718 L(x,y \ 1,y) != z | (x * (y \ 1)) * y = z. [para(241(a,1),3759(a,1))]. 4719 (x * y) \ (x / (y \ 1)) = x \ (y \ ((y \ 1) \ x)). [para(3914(a,1),2408(a,1,2)),flip(a)]. 4720 T(T(x,y \ x),z) != u | T(T(x,y \ 1),z) = u. [para(18(a,1),3916(a,1))]. 4722 L(T(x,y),x \ z,(x \ z) \ 1) = T(z * ((x \ z) \ 1),y). [para(3951(a,1),20(a,2,1))]. 4723 (x \ 1) \ T(y * (x \ 1),z) = x * T(y / x,z). [hyper(111,a,3964,a(flip),b,671,a)]. 4724 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(3978,a,3199,a)]. 4726 L(x / y,y,y \ 1) \ (x / y) = (x / y) * (y * (x \ 1)). [para(7(a,1),4000(a,1,2,2,1)),flip(a)]. 4729 K(x * (y \ 1),z) != u | K(x * (1 / y),z) = u. [para(70(a,1),4157(a,1,1,2,1))]. 4730 (x \ K(x,y)) * L(x,z,u) != w | K(x,y) * (x \ L(x,z,u)) = w. [para(1250(a,1),4178(a,1))]. 4734 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(4271(a,1),4442(a,1))]. 4735 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(4323(a,1),4455(a,1))]. 4736 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(1343(a,1),4460(a,1,1))]. 4737 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(4478(a,1),4461(a,1))]. 4739 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(3630(a,2),4737(a,1))]. 4740 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(3634(a,2),4737(a,1))]. 4741 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(3794(a,2),4737(a,1))]. 4742 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(3824(a,2),4737(a,1))]. 4743 K(x,K(y,z)) * K(z,y) != u | K(z,T(y,x)) = u. [para(3610(a,2),4737(a,1))]. 4744 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(20(a,2),4739(a,1,1))]. 4746 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(3678(a,2),4739(a,1))]. 4748 K(x,(x * y) \ z) != u | K(x,T(z / (x * y),y)) = u. [para(103(a,1),4746(a,1,2))]. 4749 K(x,T(x * y,L(z,y,x))) != u | K(x,T(x * y,y * z)) = u. [para(437(a,1),4746(a,1,2))]. 4750 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(3929(a,1),4469(a,1))]. 4751 K(x * y,K(y,z)) != u | K(x,K(y,z)) = u. [para(3811(a,2),4750(a,1))]. 4752 T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. [para(20(a,2),4533(a,1,2))]. 4754 T(T(x,y) * z,x) != u | K(x,y) * (z * x) = u. [para(1644(a,2),4533(a,1))]. 4756 T(x,T(y,x)) * (T(y,x) * z) != u | x * (y * z) = u. [para(770(a,2),4559(a,1,1))]. 4757 T(x,y) * T(y * K(z,y),x) != u | x * (y * K(z,T(y,x))) = u. [para(2869(a,1),4559(a,1,2))]. 4758 a(x,y,x) = K(z * u,T(z,w)) * K(z,T(u,w)). [hyper(4452,a,4655,a(flip)),flip(a)]. 4759 T(x / y,y \ 1) = x * (x / (x * y)). [hyper(58,a,3492,a(flip),b,4714,a)]. 4760 T(x * (x / (x * y)),y) = x / y. [hyper(3498,a,4759,a)]. 4762 (x * (x / (x * y))) * y = y * (x / y). [para(4759(a,1),3512(a,1,1))]. 4763 (x / y) * (T(y,x * (x / (x * y))) * z) = (x * (x / (x * y))) * (y * z). [para(4760(a,1),4373(a,1,1))]. 4764 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(3630(a,1),4734(a,1,1))]. 4765 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(3630(a,1),4735(a,1,2))]. 4766 a(x,y,x) != z * K(u,T(w,v5)) | K(u * w,T(u,v5)) = z. [para(4758(a,2),39(a,1))]. 4767 a(x,y,x) = K(((z \ u) \ u) * w,T(T(z,u),v5)) * K((z \ u) \ u,T(w,v5)). [para(3095(a,1),4758(a,2,1))]. 4769 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(3446(a,1),654(a,1,2))]. 4770 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(3457(a,1),3487(a,1))]. 4771 T(T(x \ 1,y),x / z) = T(x \ K(x,z),y). [para(3613(a,1),3540(a,1,1)),flip(a)]. 4773 x / ((y \ x) * (x \ 1)) = ((x / y) * (x \ 1)) \ x. [para(3541(a,1),3513(a,1,1)),flip(a)]. 4774 T(x,(y * (z \ x)) \ 1) != u | T(x,z * (y \ x)) = u. [para(3562(a,2),487(a,1))]. 4775 T(x,y \ 1) * K(z,y / x) = y * T(x / y,z). [para(3515(a,2),3606(a,1,1))]. 4776 L(K(x,y),z,u) * (u * z) != w | u * (z * K(x,T(y,u * z))) = w. [para(3649(a,1),263(a,1))]. 4777 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(560,a,3685,a)]. 4778 (x * T(y,z)) * K(y,u) = x * (K(y,u) * T(y,z)). [para(2487(a,1),3689(a,2,2))]. 4779 L(T(x \ 1,y),x,z) * K(L(x \ 1,x,z),u) = K(y,x) * T(L(x \ 1,x,z),u). [para(3717(a,1),3372(a,1,1))]. 4780 K(x,y) * (x \ K(z,x)) = (T(x,z) \ 1) * K(x,y). [para(2978(a,1),3765(a,1,2))]. 4781 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(280,a,4271,a,b,3785,a)]. 4782 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(280,a,3397,a(flip),b,3785,a),flip(a)]. 4783 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(3533(a,2),3801(a,2,1)),flip(a)]. 4784 K(x,L(T(y,x * z),u,w)) = K(x,L(T(y,z),u,w)). [para(20(a,2),3822(a,2,2))]. 4785 T(x,y) = (y \ x) / L(y \ 1,y,x). [hyper(112,a,1063,a(flip),b,3825,a),flip(a)]. 4787 T(x,y) * (z \ (z / y)) = L(y \ 1,y,z) * x. [hyper(58,a,353,a(flip),b,3825,a)]. 4788 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(3910(a,1),4434(a,1,2))]. 4789 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(58,a,2471,a(flip),b,3924,a),flip(a)]. 4790 K(x,K(y,y \ z)) = K(x,K(y,z)). [hyper(30,a,3894,a,b,3931,a)]. 4791 K(x,K(y,y * z)) = K(x,K(y,z)). [para(4(a,1),4790(a,1,2,2)),flip(a)]. 4792 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(4790(a,1),2882(a,2,2))]. 4793 K(x,K(y,z * y)) = K(x,K(y,z)). [para(2954(a,1),4790(a,1,2)),flip(a)]. 4794 K(x,K(y,T(y,z) \ u)) = K(x,K(y,u)). [para(4097(a,2),4790(a,1,2))]. 4795 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [para(3155(a,2),4791(a,1,2))]. 4796 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(74(a,1),4793(a,1,2,2))]. 4797 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(4792(a,2),2916(a,1))]. 4798 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(3724(a,1),4795(a,1,2))]. 4799 T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u. [para(3570(a,2),4797(a,1,2))]. 4800 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(4799,a,xx),flip(a)]. 4801 T(x,K(y,y / z)) = T(x,K(z,y)). [para(70(a,1),4800(a,1,2,1)),flip(a)]. 4802 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [hyper(280,a,2902,a(flip),b,3933,a),flip(a)]. 4803 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(814(a,1),3935(a,1,1))]. 4804 a(x,y,(x * y) \ 1) = x \ L(x,y,y \ 1). [hyper(1664,a,3961,a),flip(a)]. 4805 a(x,y,(x * y) \ 1) = a(x,y,y \ 1). [hyper(280,a,3955,a(flip),b,4804,a),flip(a)]. 4806 a(x \ 1,y,((x \ 1) * y) \ 1) = x * L(x \ 1,y,y \ 1). [hyper(280,a,1013,a(flip),b,4804,a),flip(a)]. 4807 a(x \ 1,y,(y \ 1) * x) = a(x \ 1,y,y \ 1). [para(528(a,1),4805(a,1,3))]. 4808 R(x,y,x) \ T(x,z) = x \ (K(x,z) * L(x,u,x)). [para(4009(a,1),2507(a,2,2))]. 4809 K(x,y) * T(x * z,z) = T(x,y) * (z * K(x,z)). [para(917(a,2),4063(a,1,2))]. 4810 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [hyper(4764,a,4066,a(flip)),flip(a)]. 4811 K(x,T(y,z)) * (z * K(x,z)) = T(T(x,z),y) * (x \ z). [para(2847(a,1),4067(a,1,2))]. 4812 K(x,T(y,z)) * (K(x,z) * u) = T(T(x,z),y) * (x \ u). [para(4006(a,1),4067(a,1,2))]. 4813 K(T(x,y) * z,K(x,y) * z) = K(x,z). [hyper(280,a,4088,a(flip),b,4076,a),flip(a)]. 4815 (T(x,y) * z) * K(x,z) != u | T(T(x,y) * z,K(x,y) * z) = u. [para(4813(a,1),2916(a,1,2))]. 4816 (x * T(y,z)) \ T(y,x \ y) = y / (x * T(y,z)). [para(2838(a,2),4135(a,1,2))]. 4818 T(K(x,y) * (z / T(x,u)),T(x,u)) != w | T(x,u) \ (K(x,y) * z) = w. [para(4208(a,1),352(a,1,1))]. 4819 R(K(x,y),z,x \ 1) = K(x,y). [hyper(593,a,4210,a)]. 4820 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(260,a,4210,a)]. 4821 (x / y) \ (K(y,x) * (z \ (x / y))) = (z * (y \ x)) \ (x / y). [para(3040(a,1),4305(a,1,1,2)),flip(a)]. 4822 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(3553(a,2),4406(a,2,2))]. 4823 x / T(x / y,z) = x * T(y / x,z). [hyper(58,a,3606,a(flip),b,4418,a),flip(a)]. 4824 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(280,a,3790,a(flip),b,4425,a),flip(a)]. 4826 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(2730(a,1),4472(a,1,2))]. 4827 (x * (y \ z)) \ (x * T(z / T(y,T(u,w)),y)) != v5 | L(K(u,T(y,w)),y \ z,x) = v5. [para(4521(a,2),562(a,1,2,2))]. 4828 T(x * ((x \ y) * K(x,z)),x \ y) = T(K(x,z) * y,x \ 1). [para(4006(a,1),4582(a,1,1)),flip(a)]. 4829 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(67(a,1),4616(a,1,1,2,1))]. 4830 T(K(x,y) * z,y \ x) = (y / x) * (z / (x \ y)). [hyper(58,a,1898,a(flip),b,4642,a),flip(a)]. 4831 x / (y \ ((x / z) * y)) = T(K(y,x) * z,x \ y). [hyper(58,a,803,a(flip),b,4642,a)]. 4832 (x * (x \ y)) \ (((x \ y) * (T(x,x \ y) * z)) / z) = (y * z) \ ((y / x) * (x * z)). [para(4645(a,1),2612(a,2,2))]. 4833 ((x * (y / z)) / y) * K(y,z) = y / (z * (x \ y)). [hyper(280,a,692,a(flip),b,4652,a),flip(a)]. 4834 x / (x \ (y \ ((y \ 1) \ x))) = (x * (y \ 1)) * y. [para(4719(a,1),2419(a,1,2))]. 4835 x / ((y \ x) * (x \ 1)) = x \ ((x / (x \ 1)) * y). [hyper(280,a,693,a(flip),b,4773,a),flip(a)]. 4836 K(x,y) * (x \ K(z,x)) = T(x,z) \ K(x,y). [hyper(280,a,4209,a(flip),b,4780,a),flip(a)]. 4837 K(x,L(T(y,x \ z),u,w)) = K(x,L(T(y,z),u,w)). [para(5(a,1),4784(a,1,2,1,2)),flip(a)]. 4838 R(x,y,x) \ T(x,z) = x \ L(T(x,z),u,x). [para(3227(a,1),4808(a,2,2))]. 4839 K(x,y) * T(x * z,z) = T(x,y) * T(z,x \ z). [para(2838(a,2),4809(a,2,2))]. 4840 (K(x,y) * z) * (K(y,T(x,z)) * u) = (z * K(x,y)) * (K(y,x) * u). [para(4810(a,1),4260(a,1,2))]. 4841 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4824(a,1),1509(a,1,2,1,2))]. 4842 T(K(x \ 1,y \ 1) * z,(y \ 1) \ (x \ 1)) = ((y \ 1) / (x \ 1)) * (z / ((y / x) \ 1)). [para(537(a,1),4830(a,2,2,2))]. 4843 T(K(x,y) * z,y \ x) = y / T(y / z,x). [para(17(a,2),4831(a,1,2)),flip(a)]. 4844 T(K(x,y) * z,y \ x) = y * T(z / y,x). [hyper(280,a,4823,a(flip),b,4843,a),flip(a)]. 4845 x * ((y \ ((y \ 1) \ x)) \ x) = (x * (y \ 1)) * y. [hyper(58,a,305,a(flip),b,4834,a)]. 4846 x / ((y \ x) * (x \ 1)) = x \ ((x * (1 \ x)) * y). [para(305(a,1),4835(a,2,2,1))]. 4847 K(x,L(T(x * (y * K(x,z)),y),u,w)) = K(x,L(T(T(x,z) * y,1),u,w)). [para(4582(a,1),4837(a,1,2,1))]. 4848 x * T(y,x \ y) = T(x * y,y). [hyper(29,a,4014,a,b,4839,a)]. 4849 x * ((y \ ((y \ 1) \ x)) \ x) = L(x,y \ 1,y). [hyper(280,a,4710,a(flip),b,4845,a),flip(a)]. 4850 x / ((y \ x) * (x \ 1)) = x \ ((x * x) * y). [para(60(a,1),4846(a,2,2,1,2))]. 4851 ((x \ 1) \ (x \ y)) \ y = y \ ((y * x) * (x \ 1)). [para(3877(a,1),807(a,1,1))]. 4852 (x * (y \ 1)) \ (x / y) = x \ ((y \ 1) \ (y \ x)). [para(3877(a,1),2405(a,1,2)),flip(a)]. 4853 L(x * L(x \ 1,x,y),x \ 1,y) = y \ ((x \ 1) \ (x \ y)). [para(3877(a,1),2415(a,2,2))]. 4854 ((x \ 1) \ (x \ y)) \ y = a(y,x,x \ 1). [hyper(280,a,206,a(flip),b,4851,a),flip(a)]. 4856 L((x * y) / x,z,y) \ L(y,z,y) = K(y,x). [hyper(280,a,2457,a(flip),b,4240,a),flip(a)]. 4858 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [para(1593(a,1),4856(a,1,1)),flip(a)]. 4859 (x / (x / y)) \ L(y,z,y) = K(y,x). [para(846(a,1),4858(a,2,2)),flip(a)]. 4861 K(x,(x / y) * z) != u | K((x / z) * y,x) = u. [para(2897(a,1),4255(a,1))]. 4862 ((x \ (K(y,z) * u)) \ L(x \ (K(y,z) * u),x,K(z,y))) / ((x \ (K(y,z) * u)) \ 1) = (K(z,y) * x) \ u. [hyper(58,a,1660,a,b,4287,a)]. 4863 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(4271(a,1),4287(a,1,1))]. 4864 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(4303(a,1),4223(a,1)),flip(b)]. 4865 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(823,a,4486,a),flip(a)]. 4866 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4486(a,1),823(a,1))]. 4867 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(2700,a,4865,a(flip)),flip(a)]. 4868 K(x,y) * K(z \ 1,z) != u | (T(y,x) \ 1) * y = u. [para(733(a,1),4555(a,1))]. 4869 T((T(x,y) \ 1) * x,y) != z | (T(x,y) \ 1) * x = z. [para(3186(a,2),4555(a,1))]. 4870 T(x * ((y * x) \ 1),z) = x * ((T(y,z) * x) \ 1). [para(3956(a,1),4588(a,1,1))]. 4871 x \ T(x * ((y * x) \ 1),z) = (T(y,z) * x) \ 1. [hyper(111,a,4870,a,b,xx)]. 4872 (T(x / y,z) * y) \ 1 = y \ T(y * (x \ 1),z). [para(7(a,1),4871(a,1,2,1,2,1)),flip(a)]. 4873 (x * T(x \ y,z)) \ 1 = x \ T(x * (y \ 1),z). [para(495(a,1),4872(a,1,1))]. 4875 a(x,y,L(x,z,u)) = K(w,v5) * K(v5 * L(w,v6,v7),w). [hyper(4283,a,4608,a(flip)),flip(a)]. 4876 x * T(x \ (x / y),z) = x / T(y,z). [hyper(4705,a,4355,a)]. 4877 T(x \ (x / y),z) = x \ (x / T(y,z)). [hyper(115,a,4876,a),flip(a)]. 4878 x * T(L(y \ 1,y,x),z) = x / T(y,z). [para(336(a,2),4876(a,1,2,1))]. 4879 T(x \ (x / y),z) * (u \ x) = x * ((u * (T(y,z) * x)) \ x). [para(4877(a,2),1003(a,1,1))]. 4881 x / T(x \ y,z) = x * T(y \ x,z). [para(337(a,1),4878(a,1,2,1)),flip(a)]. 4882 T(x * K(y,z),y / z) = (y / z) \ (x * (z \ y)). [para(2940(a,1),3477(a,1,1,2))]. 4883 T(x * K(y,z),y / z) = K(y,z) * T(x,z \ y). [hyper(280,a,4623,a(flip),b,4882,a),flip(a)]. 4884 T(x * K(y,z),z * y) = (z * y) \ (x * (y * z)). [para(897(a,1),3478(a,1,2,2)),flip(a)]. 4885 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(235,a,4884,a)]. 4886 (x * K(y,z)) * (z * y) = x * (y * z). [hyper(127,a,4884,a)]. 4887 ((x / y) * (z * y)) / (y * z) = x / T(y,z). [hyper(280,a,4355,a(flip),b,4885,a),flip(a)]. 4888 (x * (y \ x)) * (y / x) = x * K(y \ x,x). [hyper(58,a,1896,a(flip),b,4885,a)]. 4889 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(58,a,141,a(flip),b,4885,a),flip(a)]. 4893 (x * T(y,z)) * (z * y) = (x * y) * (y * z). [para(3372(a,1),4886(a,1,1))]. 4894 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(5(a,1),4889(a,1,1,2))]. 4895 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(7(a,1),4889(a,1,1,2))]. 4897 K(x,y / (z * x)) = K(x,y / (x * z)). [para(4889(a,1),4084(a,1,2))]. 4898 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(4889(a,1),4085(a,1,2))]. 4899 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(4889(a,1),4112(a,1,1))]. 4900 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(97(a,2),4897(a,2,2)),flip(a)]. 4901 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(241(a,1),4897(a,2,2,2))]. 4902 T(x,y) = (x * (y \ x)) * (y / x). [hyper(280,a,2801,a,b,4888,a)]. 4903 L((x / y) \ z,x / y,y * (x \ y)) = T(y,x) \ ((y * (x \ y)) * z). [para(4902(a,2),88(a,2,1))]. 4904 (x * (y \ x)) \ (((x * (y \ x)) / (y / x)) * L(y / x,z,u)) = T(x,y) \ ((x * (y \ x)) * L(y / x,z,u)). [para(4902(a,2),2402(a,1,1)),flip(a)]. 4906 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(58,a,2958,a(flip),b,4900,a)]. 4907 T(x \ (x / y),z) * (x * y) = T(y,z) \ (x * y). [hyper(280,a,4437,a(flip),b,3590,a),flip(a)]. 4908 T(x \ (x / y),z) * (x * y) = T(K(z,y) * x,y). [hyper(280,a,4389,a,b,4907,a),flip(a)]. 4909 T(K(x,y) * z,y) * (z \ (z / y)) = T(z \ (z / y),x) * z. [para(4908(a,1),1075(a,1,1))]. 4910 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(4(a,1),3748(a,1,2,2))]. 4911 x * T(x \ T(y,z),y) = K(y,z) * T(y,x). [para(2373(a,1),3888(a,1,2)),flip(a)]. 4913 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(1334,a,4057,a(flip)),flip(a)]. 4914 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(280,a,784,a(flip),b,4059,a),flip(a)]. 4915 (x * y) \ (T(x,y) * R(T(z,x),u,w)) = (y * x) \ (R(z,u,w) * x). [hyper(111,a,4059,a(flip),b,4659,a)]. 4917 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [para(4271(a,1),4140(a,1,1))]. 4918 (x / y) * K(z \ x,x) = x / (K(z,x) * y). [hyper(256,a,4182,a),flip(a)]. 4919 x / (K(y,x) * z) = (x / z) * K(x,y). [para(2897(a,1),4918(a,1,2)),flip(a)]. 4920 T((x / y) * K(x,z),x) != u | (K(z,x) * y) \ x = u. [para(4919(a,1),1059(a,1,1))]. 4921 T(T(x,L(y,z,u)),y \ x) * w = T(x,L(y,z,u)) * (K(y,x) * w). [para(3672(a,1),4187(a,1,2,1)),flip(a)]. 4922 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(4189(a,1),3375(a,1,2)),flip(a)]. 4923 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(593,a,4200,a)]. 4924 (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). [hyper(112,a,4217,a(flip),b,4183,a)]. 4925 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(2562(a,1),4220(a,1,1))]. 4926 L(x,K(y,z),L(y,u,w)) = x. [hyper(560,a,4227,a)]. 4927 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(2489(a,1),4227(a,1,1))]. 4928 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(58,a,4303,a(flip),b,4926,a)]. 4929 T(K(x,y) * z,(y * x) \ 1) = (x * y) * (z / (y * x)). [hyper(280,a,1611,a(flip),b,4265,a),flip(a)]. 4930 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(4322(a,2),4343(a,1))]. 4931 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(2953(a,1),4396(a,1,2,1))]. 4932 T(K(x,y),z) * (z * K(x,y)) = y * (T(T(y,x),x) \ z). [hyper(4536,a,4931,a)]. 4933 T(K(x,y) * (T(y,x) / z),y) = (z \ T(y,x)) * K(x,y). [hyper(4382,a,4404,a)]. 4934 T(x,y) / (K(x,y) * z) = (T(x,y) / z) * K(y,x). [para(2887(a,2),4436(a,1,2,1))]. 4935 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(1343(a,1),4471(a,1,2,2))]. 4936 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(2824(a,2),4471(a,2,2))]. 4937 (x * ((y \ (y / z)) * T(L(z \ 1,z,y) \ (x \ u),w))) \ u = K(w,(x * L(z \ 1,z,y)) \ u). [para(354(a,1),4477(a,1,1,2))]. 4938 (x * (y \ T(y * (x \ z),u))) \ z = K(u,(x * (y \ 1)) \ z). [para(1360(a,1),4477(a,1,1,2))]. 4939 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(1343(a,1),4477(a,1,1,2))]. 4940 (x * (K(y,z) * T(K(z,y) * (x \ u),w))) \ u = K(w,(x * K(y,z)) \ u). [para(4271(a,1),4477(a,1,1,2,2,1))]. 4941 T(L((K(x,y) * z) \ 1,u,w),K(x,y)) * (K(x,T(y,L((K(x,y) * z) \ 1,u,w))) * z) = (K(x,y) * z) * L((K(x,y) * z) \ 1,u,w). [hyper(280,a,705,a(flip),b,4487,a),flip(a)]. 4942 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(280,a,20,a,b,4500,a),flip(a)]. 4943 ((x * y) * K(y,z)) \ x = T((x * y) \ x,z). [para(3569(a,1),4506(a,1,1,2))]. 4944 T((x * y) \ x,z) = (x * T(y,z)) \ x. [para(3372(a,1),4943(a,1,1)),flip(a)]. 4946 T((x * y) \ x,z) != u \ x | x * T(y,z) = u. [para(4944(a,2),43(a,1))]. 4947 T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). [para(4510(a,1),4508(a,1,1)),flip(a)]. 4948 T(K(x,y) * z,y / x) = K(x,y) * T(z,y / x). [para(2944(a,1),4519(a,1,1,1))]. 4949 ((x * y) / z) / (y * x) = (x * y) / ((y * x) * z). [para(897(a,1),4525(a,1,2,1)),flip(a)]. 4950 T(x * T(y \ 1,z),y) = ((y \ 1) * x) * K(z,y). [para(3500(a,1),4585(a,1,1)),flip(a)]. 4951 T(x * T(y \ 1,T(z,u)),y) = ((y \ 1) * x) * K(z,T(y,u)). [hyper(280,a,3667,a(flip),b,4950,a),flip(a)]. 4952 (x * (y / x)) * ((y / x) \ z) = y * ((x \ y) \ z). [para(103(a,1),4647(a,2,2,1))]. 4953 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(4654(a,1),3086(a,1,2,2))]. 4954 x * T(y * K(x,z),z * x) = T(x,z) * T(y,x * z). [para(4884(a,2),4670(a,1,2))]. 4955 (x \ T(y,z)) / y = (y * x) \ T(y,z). [para(3488(a,1),4701(a,1,1,1)),flip(a)]. 4956 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5(a,1),4829(a,2,2,1))]. 4957 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(4829(a,2),3280(a,1,2))]. 4958 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(4(a,1),4957(a,1,2,2)),flip(a)]. 4959 (x \ 1) * (K(y,(x \ 1) \ 1) * z) = K(y,x) * ((x \ 1) * z). [para(378(a,1),4958(a,1,1,2)),flip(a)]. 4960 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [hyper(3440,a,4917,a),flip(a)]. 4961 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [para(4271(a,1),4960(a,1,1))]. 4962 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(4961(a,1),915(a,1,1))]. 4963 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [hyper(280,a,4260,a(flip),b,4922,a),flip(a)]. 4964 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [para(2923(a,2),4963(a,2,1))]. 4965 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(4925(a,1),593(a,1))]. 4966 K(L(x,y,z) / u,x) * (L(x,w,v5) \ v6) = (L(x,w,v5) * K(u,x)) \ v6. [para(3596(a,1),4928(a,1,1,2)),flip(a)]. 4967 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(2800(a,1),4942(a,2,1))]. 4970 L(x \ 1,x,y * T(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(3402(a,2),2952(a,1))]. 4972 T(x \ (y * z),(y \ x) \ 1) = x \ (y * T(z,x \ y)). [hyper(280,a,3909,a(flip),b,3536,a),flip(a)]. 4973 T(x \ (y * z),x \ y) = x \ (y * T(z,x \ y)). [hyper(3751,a,4972,a)]. 4974 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(2157(a,1),3651(a,1,2,2,2)),flip(a)]. 4975 (x * T(y,z)) * T(y \ 1,z) = L(x,T(y,z),T(y \ 1,z)). [para(3611(a,2),3954(a,2,3))]. 4976 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4015(a,1),571(a,1,1))]. 4977 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(280,a,2894,a(flip),b,4042,a),flip(a)]. 4978 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(3635(a,1),4977(a,1,2))]. 4979 (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(4509(a,2),4083(a,1,2,1))]. 4980 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(1581(a,1),4397(a,1,2,1))]. 4981 a(x,T(y,x),(y * x) \ z) = a(x,y,(x * y) \ z). [hyper(280,a,77,a(flip),b,4671,a),flip(a)]. 4983 x * T(x \ (y \ x),z) = T(y,z) \ x. [hyper(4706,a,4658,a)]. 4984 T(x \ (x / y),z) * x = T(y,z) \ x. [hyper(1121,a,4983,a)]. 4985 T(x \ (y \ x),z) = x \ (T(y,z) \ x). [hyper(115,a,4983,a),flip(a)]. 4986 T(x \ K(y,z),z) = T(x,z) \ K(y,z). [hyper(58,a,4518,a(flip),b,4983,a)]. 4987 x * T(T(x,y) \ 1,z) = T(T(x,y),z) \ x. [para(1635(a,1),4983(a,1,2,1))]. 4988 (x * y) * T((x * y) \ T(y,z),u) = T(x * K(z,y),u) \ (x * y). [para(4424(a,1),4983(a,1,2,1,2))]. 4989 T(x \ (y \ x),z) != x \ u | T(y,z) \ x = u. [para(4985(a,2),42(a,1))]. 4991 x * T(T(x \ 1,y),z) = T(T(x,y),z) \ x. [para(3611(a,2),4987(a,1,2,1))]. 4992 L(T(x / (y \ 1),z),y \ 1,y) = T(x * y,z). [hyper(280,a,1048,a(flip),b,4713,a),flip(a)]. 4993 (x \ 1) * T(y / (x \ 1),z) = x \ T(y * x,z). [hyper(111,a,4992,a(flip),b,241,a),flip(a)]. 4994 (x * (y \ 1)) \ (x / y) = (x / y) * (y * (x \ 1)). [para(3950(a,1),4726(a,1,1))]. 4995 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(3405(a,2),4970(a,1))]. 4996 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(3034(a,2),3439(a,1,2))]. 4997 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [para(557(a,1),3441(a,1,2))]. 4998 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [hyper(126,a,4997,a)]. 4999 L(K(x,y),z * x,u) = K(L(x,z,u),y). [hyper(58,a,3388,a(flip),b,4997,a)]. 5000 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [hyper(34,a,4317,a,b,4997,a)]. 5002 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(58,a,4125,a(flip),b,4999,a),flip(a)]. 5003 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(5(a,1),4999(a,1,2))]. 5004 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(7(a,1),4999(a,1,2)),flip(a)]. 5005 K(L(x,y,z),y * x) != u | K(x,y * x) = u. [para(4999(a,1),3312(a,1))]. 5006 L(K(x,y),z,x) = K(x,y). [hyper(4150,a,5004,a),flip(a)]. 5007 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(280,a,13,a(flip),b,5004,a),flip(a)]. 5008 L(K(x,y),z,T(x,u)) = K(x,y). [para(852(a,1),5004(a,1,1)),flip(a)]. 5009 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(5004(a,1),3418(a,1,1)),flip(a)]. 5010 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(5004(a,1),3422(a,1,1))]. 5011 L(K(x,y),z,x) != u | K(x,y) = u. [para(5004(a,1),4150(a,1))]. 5012 L(K(x,y),z,K(x,u)) = K(x,y). [para(4196(a,1),5004(a,1,1)),flip(a)]. 5013 a(x,y,K(x,z)) = 1. [hyper(48,a,5006,a)]. 5014 (x * y) * K(x,z) = x * (y * K(x,z)). [para(5006(a,1),86(a,1,2))]. 5015 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(5006(a,1),548(a,1,2)),flip(a)]. 5016 (x * y) * K(x,z) != u | x * (y * K(x,z)) = u. [para(5006(a,1),263(a,1,2))]. 5017 a(x,y,K(x * z,z)) = 1. [para(2907(a,2),5013(a,1,3))]. 5018 L(K(x * y,y),z,x) = K(x * y,y). [hyper(47,a,5017,a)]. 5019 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(5012(a,1),20(a,2,1))]. 5020 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(5012(a,1),86(a,1,2))]. 5021 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(5018(a,1),3651(a,2,1))]. 5022 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(674,a,5014,a)]. 5023 R(x,y,K(x,z)) = x. [hyper(593,a,5014,a)]. 5024 (x * (y * K(x,z))) \ ((x * y) * L(K(x,z),u,w)) = (x * y) \ (((x * y) / K(x,z)) * L(K(x,z),u,w)). [para(5014(a,1),2402(a,1,1))]. 5025 (x * y) * (z * K(x * y,T(y,u))) = ((x * y) * z) * K(x,T(y,u)). [para(3181(a,1),5014(a,1,2)),flip(a)]. 5026 R(x,y,K(T(x,z),u)) = x. [hyper(134,a,5023,a(flip))]. 5027 x * (y * K(x,z)) != u | (x * y) * K(x,z) = u. [para(5023(a,1),258(a,1,1))]. 5028 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(5023(a,1),591(a,1,1,1)),flip(a)]. 5029 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(5023(a,1),592(a,1,1,1)),flip(a)]. 5030 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(5023(a,1),1893(a,1,1,3,2))]. 5031 R(x,y,K(z,x)) = x. [para(2896(a,1),5023(a,1,3))]. 5032 R(x \ 1,y,K(z,x)) = x \ 1. [para(3571(a,1),5023(a,1,3))]. 5033 R(x,y,K(z,T(x,u))) = x. [para(3665(a,1),5023(a,1,3))]. 5034 (x * y) * K(z,x) = x * (y * K(z,x)). [para(5031(a,1),96(a,1,1)),flip(a)]. 5035 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(5031(a,1),591(a,1,1,1)),flip(a)]. 5036 R(x \ 1,y,K(x,z)) = x \ 1. [para(3566(a,1),5031(a,1,3))]. 5037 (x * y) * K(T(x,z),u) = x * (y * K(T(x,z),u)). [para(5026(a,1),96(a,1,1)),flip(a)]. 5038 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(5033(a,1),591(a,1,1,1)),flip(a)]. 5039 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [para(5032(a,1),96(a,1,1)),flip(a)]. 5040 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(5036(a,1),96(a,1,1)),flip(a)]. 5041 L(K(x,y),z,y) = K(x,y). [hyper(2109,a,5034,a)]. 5042 K(L(x,y,z),z) = K(x,z). [hyper(58,a,4999,a(flip),b,5041,a)]. 5043 (x * y) * K(z,x) != u | x * (y * K(z,x)) = u. [para(5041(a,1),263(a,1,2))]. 5045 x * K(L(y,z,u),u) = x * K(y,u). [hyper(53,a,5042,a)]. 5046 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(25(a,1),5042(a,1,1))]. 5047 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(269(a,1),5042(a,1,1))]. 5048 K((x \ y) \ z,x) = K(y \ (x * z),x). [para(569(a,1),5042(a,1,1)),flip(a)]. 5049 T(x * K(y,x),L(y,z,x)) = x. [para(5042(a,1),2800(a,1,1,2))]. 5051 T(x,L(y,z,x)) = T(x,y). [para(5049(a,1),2808(a,1,1)),flip(a)]. 5052 T(x,L(y,z,x)) = x * K(x,y). [hyper(280,a,2882,a(flip),b,5051,a),flip(a)]. 5053 L(x,y,z) * T(z,x) != u | z * L(x,y,z) = u. [para(5051(a,1),259(a,1,2))]. 5054 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(269(a,1),5051(a,1,2))]. 5055 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(569(a,1),5051(a,1,2)),flip(a)]. 5056 K(x,L(y,z,x)) = K(x,y). [hyper(2899,a,5052,a)]. 5057 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(25(a,1),5056(a,1,2))]. 5058 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(269(a,1),5056(a,1,2))]. 5059 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(569(a,1),5056(a,1,2)),flip(a)]. 5060 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(1134(a,1),5056(a,1,2)),flip(a)]. 5061 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(5056(a,1),4999(a,1,1)),flip(a)]. 5062 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(58,a,3029,a,b,5047,a)]. 5063 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(5(a,1),5047(a,1,1,1)),flip(a)]. 5064 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(2076(a,1),5047(a,1,1,1)),flip(a)]. 5065 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(280,a,4081,a,b,5055,a),flip(a)]. 5066 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(4748,a,5058,a)]. 5067 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(58,a,4130,a,b,5058,a)]. 5068 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(5058(a,1),3323(a,2,2))]. 5069 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(4685,a,5059,a)]. 5070 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(58,a,3473,a(flip),b,5063,a)]. 5071 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [hyper(280,a,4317,a,b,5067,a)]. 5072 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(88(a,2),5067(a,1,2))]. 5073 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x). [para(1658(a,1),5070(a,1,1,2,1)),flip(a)]. 5074 K(L(x,K(y,z),u),y) = K(x,y). [hyper(280,a,4120,a(flip),b,5002,a),flip(a)]. 5076 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(269(a,1),5074(a,1,1))]. 5077 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [para(1076(a,1),5074(a,1,1))]. 5078 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(3312,a,5003,a),flip(a)]. 5079 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(88(a,1),5003(a,2,1))]. 5080 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(269(a,1),5003(a,2,1))]. 5081 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(569(a,1),5003(a,2,1))]. 5082 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(2310(a,2),5003(a,2,1))]. 5083 K((1 / x) * y,y) = K(x \ y,y). [para(567(a,1),5078(a,1,1))]. 5084 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(569(a,1),5078(a,1,1)),flip(a)]. 5085 K((1 / x) \ y,y) = K(x * y,y). [hyper(58,a,2463,a(flip),b,5083,a),flip(a)]. 5086 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [hyper(3862,a,5085,a),flip(a)]. 5087 K((1 / x) \ y,y) = K(y * x,y). [hyper(280,a,2857,a(flip),b,5085,a),flip(a)]. 5088 K(x * (y \ 1),x) = K(y \ x,x). [para(67(a,1),5087(a,1,1,1)),flip(a)]. 5089 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(5088(a,1),4242(a,1,1,1,2))]. 5090 K(((x \ y) \ z) \ x,x) != u | K(z \ y,x) = u. [para(5084(a,2),4546(a,1))]. 5091 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5062(a,1),2740(a,2,1))]. 5092 T(L(x,y,z) * z,x) = z * L(x,y,z). [hyper(5053,a,1946,a(flip)),flip(a)]. 5093 (x * L(y,z,x)) / y = y \ (L(y,z,x) * x). [hyper(112,a,5092,a(flip),b,898,a(flip))]. 5094 x \ (L(x,y,z) * z) = (z / x) * L(x,y,z). [hyper(2208,a,5093,a),flip(a)]. 5095 L(x,y,z) * (x \ z) = (z / x) * L(x,y,z). [hyper(1938,a,5094,a)]. 5096 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(3886(a,1),5072(a,2,2,2,2))]. 5097 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(280,a,2504,a(flip),b,5079,a),flip(a)]. 5098 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(4572(a,1),5079(a,1,1))]. 5099 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(58,a,4777,a(flip),b,5081,a)]. 5101 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(5037(a,1),38(a,1)),flip(a)]. 5102 L(K(x,y),z,y \ 1) = K(x,y). [hyper(2109,a,5039,a)]. 5103 L(K(x,y),z,y \ 1) = (x * y) / (y * x). [hyper(280,a,2852,a(flip),b,5102,a),flip(a)]. 5104 K(L(x,y,z \ 1),z) = K(x,z). [hyper(58,a,4999,a(flip),b,5102,a)]. 5105 K((1 / x) * y,x) = K(x \ y,x). [para(659(a,1),5104(a,1,1))]. 5106 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [para(574(a,1),5104(a,1,1))]. 5107 K(x * (1 / y),y) = K(y \ x,y). [hyper(58,a,3808,a(flip),b,5105,a)]. 5108 K(x \ ((1 / x) \ y),x) = K(y,x). [para(5(a,1),5105(a,1,1)),flip(a)]. 5109 K(x * (y \ 1),y) = K(y \ x,y). [hyper(4156,a,5107,a)]. 5110 K(x * (1 / y),y) = 1 / K(y,y \ x). [hyper(280,a,3417,a,b,5107,a),flip(a)]. 5111 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(67(a,1),5107(a,1,1,2)),flip(a)]. 5112 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(3940,a,5108,a)]. 5113 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(58,a,4123,a(flip),b,5109,a),flip(a)]. 5114 x * K(x * (y \ 1),y) = (y \ x) * y. [para(5109(a,2),273(a,1,2))]. 5115 K(x,y * (1 / x)) = K(x,x \ y). [hyper(3426,a,5110,a)]. 5116 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(67(a,1),5115(a,1,2,2)),flip(a)]. 5117 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(70(a,1),5114(a,1,2,1,2)),flip(a)]. 5118 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(378(a,1),5114(a,1,2,1,2)),flip(a)]. 5119 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(280,a,3298,a(flip),b,5111,a),flip(a)]. 5120 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(5111(a,1),3049(a,1,1))]. 5121 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(376(a,2),5116(a,1,2,1))]. 5122 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(3853,a,5121,a)]. 5123 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [para(5122(a,1),2803(a,1,2))]. 5124 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(5122(a,1),2991(a,1,2)),flip(a)]. 5125 L(K(x,y),z,x \ 1) = K(x,y). [hyper(2109,a,5040,a)]. 5126 K(x,y) * ((y \ 1) * (z * K(y,x))) = T((y \ 1) * z,K(y,x)). [hyper(226,a,5040,a,b,4268,a),flip(a)]. 5129 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(58,a,1276,a(flip),b,5068,a),flip(a)]. 5130 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(110,a,5068,a(flip),b,1276,a(flip)),flip(a)]. 5132 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(5130(a,1),2445(a,2,2))]. 5133 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [hyper(34,a,4336,a,b,5071,a)]. 5134 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(5071(a,1),4343(a,1))]. 5137 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(280,a,4124,a(flip),b,5076,a),flip(a)]. 5139 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(2896(a,1),5137(a,1,1,1,2))]. 5140 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(3635(a,1),5139(a,1,1,1))]. 5141 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(5139(a,1),4317(a,1,1,2)),flip(a)]. 5142 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(88(a,2),5140(a,1,1))]. 5143 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(3297(a,1),5117(a,2,2))]. 5144 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(3553(a,1),5123(a,1,2))]. 5145 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(3449(a,1),5124(a,2,2))]. 5146 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(4(a,1),5129(a,2,2,2,1))]. 5147 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(5129(a,1),38(a,1))]. 5148 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(280,a,4317,a(flip),b,5141,a),flip(a)]. 5149 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(2897(a,1),5148(a,1,2,1,2))]. 5150 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(4354(a,1),5148(a,1,2,1)),flip(a)]. 5151 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(9(a,2),5150(a,1,2)),flip(a)]. 5152 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [para(5150(a,1),2882(a,2,2))]. 5153 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(280,a,2882,a,b,5152,a),flip(a)]. 5154 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(2896(a,1),5153(a,1,2,1,1))]. 5155 (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. [hyper(4329,a,5144,a)]. 5156 K((1 / x) \ y,1 / x) = K(x * y,x \ 1). [hyper(4251,a,5155,a)]. 5157 (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). [hyper(280,a,3130,a(flip),b,5155,a),flip(a)]. 5158 (x * (y * z)) \ (x * (y * T(z,u))) != w | K(L(z,y,x),u) = w. [para(4998(a,1),265(a,1,2)),flip(b)]. 5159 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [para(4998(a,1),4317(a,1,1))]. 5160 (x * (y * T(y \ z,u))) \ (x * z) = K(u,L(y \ z,y,x)). [hyper(111,a,140,a(flip),b,5000,a)]. 5161 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(101(a,1),5000(a,1,1,2))]. 5162 K(x,L(y,x,z)) = K(x,y). [hyper(29,a,3145,a,b,5161,a),flip(a)]. 5164 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(58,a,5072,a(flip),b,5162,a)]. 5165 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [para(269(a,1),5162(a,1,2))]. 5166 K(x,(x \ 1) * y) = K(x,x \ y). [para(680(a,1),5162(a,1,2))]. 5168 (x * y) * K(y,L(z,y,u)) = x * T(y,z). [para(5162(a,2),3372(a,1,2))]. 5169 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(1215(a,2),5166(a,1,2,1)),flip(a)]. 5171 K(x,(y * x) \ z) = K(x,y \ z). [hyper(280,a,2975,a(flip),b,5165,a),flip(a)]. 5172 K(x,(y * x) \ z) != u | K(x,y \ z) = u. [para(5165(a,2),3018(a,1))]. 5173 K(x,y \ (x \ z)) = K(x,y \ z). [hyper(5134,a,5171,a)]. 5174 K(x,(x * y) \ z) = K(x,y \ z). [hyper(4467,a,5171,a)]. 5175 K(x \ y,y \ z) = K(x \ y,x \ z). [para(5(a,1),5171(a,1,2,1))]. 5176 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(3020,a,5173,a)]. 5177 K(x,y \ (x * z)) = K(x,y \ z). [para(4(a,1),5173(a,1,2,2)),flip(a)]. 5178 K(x,y \ (z * x)) = K(x,y \ z). [hyper(58,a,4110,a,b,5177,a)]. 5179 K(x * y,(x * (y * z)) \ z) = K(x * y,a(x,y,z)). [para(9(a,2),5177(a,1,2)),flip(a)]. 5181 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(5178(a,2),3020(a,1))]. 5183 K(x \ T(y,z),K(z,y)) = K(x \ T(y,z),x \ y). [para(2966(a,2),5175(a,1,2))]. 5184 T(x,L(y,x,z)) = T(x,y). [hyper(3389,a,5168,a)]. 5185 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(262,a,5168,a),flip(a)]. 5186 T(x,(y * x) \ z) = T(x,x \ (y \ z)). [para(269(a,1),5184(a,1,2))]. 5187 T(x,(x \ 1) * y) = T(x,x \ y). [para(680(a,1),5184(a,1,2))]. 5189 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(5(a,1),5187(a,1,2)),flip(a)]. 5190 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(5189(a,1),777(a,1,2))]. 5191 (x * L(y,x,z)) / y = y \ (L(y,x,z) * x). [hyper(112,a,5185,a(flip),b,1935,a)]. 5192 T(x,(y * x) \ z) = T(x,y \ z). [hyper(280,a,423,a(flip),b,5186,a),flip(a)]. 5193 T(x,(x * y) \ z) = T(x,y \ z). [hyper(58,a,4102,a(flip),b,5192,a)]. 5194 T(x \ y,y \ z) = T(x \ y,x \ z). [para(5(a,1),5192(a,1,2,1))]. 5195 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [para(5192(a,1),3821(a,1,2))]. 5196 K(x,(x * y) \ z) != u | K(x,y \ z) = u. [para(4130(a,1),5172(a,1))]. 5197 K(x * y,(x * (y * z)) \ u) != w | K(x * y,L(z,y,x) \ u) = w. [para(86(a,1),5196(a,1,2,1))]. 5198 x \ (L(x,y,z) * y) = (y / x) * L(x,y,z). [hyper(2208,a,5191,a),flip(a)]. 5199 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(4(a,1),5195(a,1,2,2)),flip(a)]. 5200 L(x,y,z) * (x \ y) = (y / x) * L(x,y,z). [hyper(1938,a,5198,a)]. 5201 (x / y) \ T(L(y,x,z) * (y \ x),L(y,x,z)) = T(L(y,x,z),(x / y) \ 1). [para(5200(a,2),1450(a,1,2,1))]. 5202 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(1916(a,1),5181(a,1,2))]. 5203 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(5007(a,2),562(a,1))]. 5204 K(L(x,y / T(x,y),z),u) != w | L(K(x,u),T(y,x),z) = w. [para(951(a,1),5203(a,1,1,2))]. 5205 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(5080(a,1),548(a,1,2)),flip(a)]. 5206 L(K(x \ (y * (z \ u)),y),z \ u,z) = K((z * (y \ x)) \ u,y). [para(5048(a,1),5080(a,1,1))]. 5207 (x * (y * T(T(z,y),u))) \ (x * (z * y)) = K(u,L(T(z,y),y,x)). [para(101(a,1),5159(a,1,2,2))]. 5208 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(5028(a,1),4343(a,1,1))]. 5209 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(2109,a,5029,a)]. 5210 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(111,a,5209,a(flip),b,241,a),flip(a)]. 5211 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(115,a,5210,a)]. 5213 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(2109,a,5035,a)]. 5214 L(x,y,z) * ((L(x,y,z) \ u) * K(w,x)) = u * K(w,x). [hyper(628,a,5035,a),flip(a)]. 5215 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(58,a,4999,a(flip),b,5213,a)]. 5216 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(1589(a,1),5215(a,1,1))]. 5217 K(T(x,y) \ K(z,x),T(x,y)) = K(u \ 1,u). [hyper(280,a,393,a,b,5113,a),flip(a)]. 5218 K(x,y) * K(z \ 1,z) = (T(y,u) \ K(x,y)) * T(y,u). [para(5217(a,1),273(a,1,2))]. 5219 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(3450,a,5133,a)]. 5220 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(58,a,1904,a(flip),b,5133,a)]. 5221 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(5219(a,1),3167(a,1,1,1,2))]. 5222 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(5219(a,2),4544(a,1))]. 5223 K(x \ (y * (z \ x)),z \ x) != u | K(z \ y,z \ x) = u. [para(5(a,1),5222(a,1,1,1))]. 5224 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(4258(a,1),5222(a,1))]. 5225 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [hyper(1440,a,5220,a),flip(a)]. 5226 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(52,a,5225,a)]. 5227 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(5164(a,1),5146(a,1,2))]. 5228 (x * (y * (z / y))) / (z / y) = (x * z) / (y \ z). [hyper(112,a,5227,a(flip),b,3133,a)]. 5230 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(4868,a,5218,a),flip(a)]. 5231 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(2577,a,5230,a)]. 5232 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(710(a,1),5151(a,1,2))]. 5233 K(x,a(K(x,y),z,u)) = 1. [hyper(58,a,3252,a(flip),b,5232,a),flip(a)]. 5235 T(x,a(K(x,y),z,u)) = x. [hyper(51,a,5233,a)]. 5236 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(49,a,5235,a)]. 5237 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(5235(a,1),18(a,1,1)),flip(a)]. 5238 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(5235(a,1),3635(a,1,2,1)),flip(a)]. 5239 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(5236(a,1),3635(a,1,2,1)),flip(a)]. 5240 (x * (y \ T(y * z,u))) \ (x * z) = K(u,L((y \ 1) \ z,y \ 1,x)). [para(1360(a,1),5160(a,1,1,2))]. 5241 T((T(x,y) \ 1) * x,y) = y \ T(y * K(z \ 1,z),x). [para(2995(a,1),3445(a,1,1))]. 5242 x \ T(x * K(y \ 1,y),z) = (T(z,x) \ 1) * z. [hyper(4869,a,5241,a),flip(a)]. 5243 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(3726(a,2),3938(a,1))]. 5244 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(3867(a,1),3866(a,1,1,2)),flip(a)]. 5245 L(R(x,y,z),u,x) = K(L(R(x,y,z),w,x),x * w) * ((x * (w * R(x,y,z))) / (x * w)). [hyper(280,a,1076,a,b,4244,a)]. 5246 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(280,a,3609,a(flip),b,4264,a),flip(a)]. 5247 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(3655(a,1),5246(a,1,2,2))]. 5248 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(4626(a,2),5247(a,1,2))]. 5249 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(2900,a,5248,a)]. 5250 K(x,K(y,z)) = K(z,K(y,x)). [hyper(4751,a,5249,a)]. 5251 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(5249(a,1),4751(a,1))]. 5252 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(3741,a,5250,a)]. 5253 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(3735,a,5250,a),flip(a)]. 5254 K(K(x,y),z) = K(x,K(y,z)). [hyper(3733,a,5250,a)]. 5255 x * K(y,K(z,x)) = T(x,K(z,y)). [para(5250(a,1),2882(a,2,2)),flip(a)]. 5256 K(T(x,y),K(y,z)) = K(z,K(y,x)). [para(2953(a,1),5250(a,1,2)),flip(a)]. 5257 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(5250(a,1),2968(a,2,1)),flip(a)]. 5258 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(5250(a,1),2916(a,1,2))]. 5259 K(x,K(y \ 1,z)) = K(z,K(x,y)). [para(3571(a,1),5250(a,1,2)),flip(a)]. 5260 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(5250(a,1),3733(a,1))]. 5261 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(5250(a,1),3610(a,1,1))]. 5262 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(5250(a,1),3894(a,1,1))]. 5264 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(5250(a,1),4277(a,1,2))]. 5265 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(5250(a,1),4066(a,1,1))]. 5266 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(5250(a,1),4810(a,1,1))]. 5267 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(5254(a,1),2882(a,2,2)),flip(a)]. 5269 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(5254(a,1),2916(a,1,2))]. 5270 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(5254(a,1),3372(a,1,2))]. 5271 x * T(x \ y,K(z,u)) = y * K(z,K(u,y \ x)). [para(5254(a,1),3588(a,2,2))]. 5272 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(4088(a,1),5254(a,1,1)),flip(a)]. 5273 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(5254(a,1),3437(a,2,1))]. 5274 K(x,K(y,1 / z)) = K(z,K(x,y)). [hyper(3844,a,5252,a),flip(a)]. 5275 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(58,a,3234,a,b,5252,a)]. 5277 K(x,K(y,z)) = K(y,K(x,z)). [para(3566(a,1),5253(a,1,2))]. 5278 K(K(x,y),z) = K(y,K(z,x)). [hyper(3733,a,5277,a)]. 5279 K(K(x,y),z) = K(y,K(x,z)). [hyper(280,a,5254,a,b,5277,a)]. 5280 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(280,a,5253,a,b,5277,a)]. 5281 K(x,K(y,z)) = K(z,K(x,y)). [hyper(280,a,5250,a,b,5277,a),flip(a)]. 5282 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(280,a,4791,a,b,5277,a)]. 5283 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(280,a,5252,a(flip),b,5277,a),flip(a)]. 5284 K(x \ T(y,z),x \ y) = K(z,K(x \ T(y,z),y)). [hyper(280,a,5183,a(flip),b,5277,a)]. 5285 K(x,K(y,z * L(x,u,w))) = K(y,K(x,z)). [hyper(280,a,4798,a(flip),b,5277,a),flip(a)]. 5286 x * K(y,K(x,z)) = T(x,K(y,z)). [para(5277(a,1),2882(a,2,2)),flip(a)]. 5287 K(x,K(y,z)) * y = T(y,K(x,z)). [para(5277(a,1),2888(a,2,1)),flip(a)]. 5288 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(2959(a,2),5277(a,1,2))]. 5289 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(5277(a,1),2915(a,1,1))]. 5291 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(5277(a,1),3440(a,1,2))]. 5292 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(5277(a,1),4019(a,1,2,1))]. 5293 K(x,K(y,z)) * (K(z,x) * u) = K(z,T(x,y)) * u. [para(5277(a,1),4810(a,1,1))]. 5294 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(5277(a,1),4885(a,2,2))]. 5295 K(K(x,y),z) = K(x,K(z,y)). [hyper(280,a,5250,a,b,5278,a),flip(a)]. 5296 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(5278(a,1),3709(a,1))]. 5297 K(K(x,y),z) = K(z,K(x,y)). [hyper(280,a,5250,a,b,5279,a),flip(a)]. 5298 K(x,K(y,z)) = K(x,K(z,y)). [hyper(58,a,5278,a(flip),b,5279,a)]. 5299 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(5279(a,1),2860(a,1,1))]. 5300 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(3235(a,1),5279(a,1,1)),flip(a)]. 5301 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(5279(a,1),3709(a,1))]. 5302 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(3741,a,5281,a)]. 5303 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(3735,a,5281,a),flip(a)]. 5304 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(280,a,5253,a,b,5281,a)]. 5305 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(280,a,4790,a,b,5281,a)]. 5306 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(280,a,3893,a,b,5281,a)]. 5307 K(K(x,y),z \ u) = K(x,K(y,u \ z)). [hyper(280,a,3570,a(flip),b,5281,a)]. 5308 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(58,a,5252,a,b,5281,a)]. 5309 x * K(y,K(z,x)) = T(x,K(y,z)). [para(5281(a,2),2882(a,2,2)),flip(a)]. 5311 K(x,K(y,z)) * z = T(z,K(x,y)). [para(5281(a,2),2888(a,2,1)),flip(a)]. 5313 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(5281(a,2),3193(a,1,1))]. 5314 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(5281(a,2),3372(a,1,2))]. 5315 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(5281(a,2),3519(a,2,2)),flip(a)]. 5316 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(3638(a,1),5281(a,1,2))]. 5318 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(5281(a,1),4007(a,1,1,1))]. 5319 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(5281(a,2),4014(a,1,1))]. 5320 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(5281(a,2),4277(a,1,2))]. 5321 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(5281(a,2),3447(a,2,2))]. 5322 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(5281(a,2),3456(a,1,2,2))]. 5323 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(5281(a,2),3932(a,1,1))]. 5324 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(5295(a,1),3709(a,1))]. 5325 x * K(K(y,z),x) = T(x,K(y,z)). [para(5297(a,2),2882(a,2,2)),flip(a)]. 5326 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(5297(a,1),3416(a,1,1))]. 5327 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(5297(a,1),3709(a,1))]. 5328 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(5297(a,1),4276(a,1,1))]. 5329 x \ (K(x,K(y,z)) * u) = T(x,K(y,z)) \ u. [para(5297(a,1),4282(a,1,2,1))]. 5330 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(5297(a,1),4283(a,1,1))]. 5331 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | u = w. [para(5297(a,1),4301(a,1,1))]. 5333 K(x,K(y,z)) * (K(u,T(x,K(y,z))) * w) = x * (T(T(x,K(y,z)),u) \ w). [para(5297(a,1),4396(a,1,1))]. 5334 K(x,K(y,z)) * x = T(x,K(z,y)). [para(5298(a,1),2888(a,2,1)),flip(a)]. 5335 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(2896(a,1),5298(a,1,2)),flip(a)]. 5336 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(3188(a,1),5298(a,1,2)),flip(a)]. 5337 K(x,K(y \ 1,z)) = K(x,K(y,z)). [para(3566(a,1),5298(a,1,2)),flip(a)]. 5338 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(3572(a,2),5298(a,1,2))]. 5339 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(3573(a,1),5298(a,1,2))]. 5340 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(3638(a,1),5298(a,1,2))]. 5341 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(3673(a,2),5298(a,1,2))]. 5343 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(5298(a,1),4277(a,1,2))]. 5344 K(x,K(y,z)) * (K(y,z) * u) = K(y,T(z,x)) * u. [para(5298(a,1),4810(a,1,1))]. 5345 K(x,y) * K(y,T(x,z)) = K(T(y,x),K(x,z)). [hyper(280,a,3893,a,b,5256,a)]. 5346 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(3283(a,1),5259(a,1,2)),flip(a)]. 5347 K(x,K(y,1 / z)) = K(x,K(y,z)). [hyper(280,a,5281,a,b,5274,a),flip(a)]. 5348 K(x,K(y,1 / z)) = K(x,K(z,y)). [hyper(280,a,5277,a,b,5274,a),flip(a)]. 5349 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(3295(a,1),5280(a,1,2)),flip(a)]. 5350 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(58,a,5277,a,b,5282,a)]. 5351 T(x * y,K(z,(1 / y) \ x)) = K(z,1) * (x * y). [para(1867(a,1),5287(a,1,1,2)),flip(a)]. 5352 K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). [para(5173(a,2),5304(a,1,2))]. 5353 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(58,a,5281,a,b,5305,a)]. 5354 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(58,a,5277,a,b,5305,a)]. 5355 T(x,K(y,z)) = T(x,K(z,y)). [hyper(58,a,5255,a(flip),b,5309,a)]. 5356 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(4441,a,5355,a)]. 5357 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(4291,a,5355,a)]. 5358 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(3836,a,5355,a),flip(a)]. 5359 T(T(x,K(y,z)),K(y,z)) = x. [hyper(3703,a,5355,a),flip(a)]. 5360 T(T(K(x,y) * z,u),K(y,x)) = T(z * K(x,y),u). [hyper(1374,a,5355,a),flip(a)]. 5361 T(K(x,y) / z,K(y,x)) = z \ K(x,y). [hyper(1059,a,5355,a),flip(a)]. 5362 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(1021,a,5355,a),flip(a)]. 5363 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(5355(a,1),101(a,1,2))]. 5364 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(5355(a,1),1021(a,1))]. 5365 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(5355(a,1),3162(a,1,1))]. 5366 T(x,K(y \ 1,z)) = T(x,K(y,z)). [para(3566(a,1),5355(a,1,2)),flip(a)]. 5367 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(3570(a,1),5355(a,1,2))]. 5368 T(x,K(y,z)) != u | T(u,K(y,z)) = x. [para(5355(a,1),3530(a,1))]. 5369 T(T(x,K(y,z)),K(y,z)) != u | x = u. [para(5355(a,1),3703(a,1,1))]. 5370 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(5355(a,1),3531(a,1,1))]. 5371 (x * T(y,K(z,u))) / (y * K(u,z)) = (x * y) / (K(u,z) * y). [para(5355(a,1),3385(a,1,1,2))]. 5372 T(x * K(y,z),K(y,z)) != u | K(y,z) * x = u. [para(5355(a,1),3836(a,1))]. 5373 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [hyper(1166,a,5359,a)]. 5374 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [hyper(948,a,5359,a)]. 5375 T(x \ K(y,z),K(y,z)) = K(y,z) / x. [hyper(410,a,5359,a),flip(a)]. 5376 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(5359(a,1),3703(a,1,1))]. 5377 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(280,a,4668,a,b,5311,a),flip(a)]. 5378 T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. [para(4134(a,1),5311(a,1,1,2)),flip(a)]. 5379 T(T(T(x,K(y,z)),u),K(y,z)) != w | T(x,u) = w. [para(5325(a,1),3062(a,1,1,1))]. 5381 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(3233(a,2),5337(a,1,2))]. 5382 K(x,K(x / y,z)) = K(x,K(z,y)). [para(3583(a,1),5353(a,1,2)),flip(a)]. 5383 K(x,K(x / y,z)) = K(x,K(y,z)). [para(3569(a,1),5354(a,1,2)),flip(a)]. 5384 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(3579(a,2),5251(a,1))]. 5386 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(5279(a,2),5251(a,1))]. 5390 K(x \ 1,K(y,z)) != u | K(y,K(x,z)) = u. [para(5308(a,2),5296(a,1))]. 5391 K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. [para(3638(a,1),5301(a,1,2))]. 5392 K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. [para(3893(a,2),5324(a,1))]. 5394 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(5274(a,2),5324(a,1))]. 5395 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(2840(a,2),5327(a,1,2))]. 5396 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(2897(a,2),5327(a,1,2))]. 5397 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(3570(a,1),5327(a,1,2))]. 5398 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(3573(a,1),5327(a,1,2))]. 5399 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(3638(a,1),5327(a,1,2))]. 5400 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(3673(a,2),5327(a,1,2))]. 5401 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(5382(a,2),5327(a,1))]. 5402 T((x * (y * z)) / (x * y),K(u,z)) != w | (x * (y * z)) / (x * y) = w. [para(2564(a,1),5369(a,1,1))]. 5403 T(x,K(y \ 1,z)) != u | T(x,K(y,z)) = u. [para(3571(a,2),5376(a,1,2))]. 5404 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(3570(a,1),5376(a,1,2))]. 5405 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(3570(a,2),5376(a,1,2))]. 5406 K(x,y) * (z * K(y,x)) != u | T(z,K(x,y)) = u. [para(4272(a,2),5376(a,1))]. 5407 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(5366(a,2),5376(a,1))]. 5408 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(3821(a,1),5257(a,1,1,2))]. 5409 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(3659(a,1),5261(a,1,1,2)),flip(a)]. 5410 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(5262(a,1),3660(a,1))]. 5411 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(5264(a,1),38(a,1))]. 5412 K(x,y * ((y \ z) * u)) * K(x,K(y * ((y \ z) * u),z)) = K(x,L(u,y \ z,y) * z). [para(945(a,1),5264(a,2,2))]. 5413 K(x,(y * z) * (z \ u)) * K(x,K((y * z) * (z \ u),u)) = K(x,(T(y,u) * z) * (z \ u)). [para(1995(a,1),5264(a,2,2))]. 5415 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(5065(a,2),5264(a,2,2))]. 5416 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(4098(a,1),5267(a,1,2,2)),flip(a)]. 5418 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(280,a,5254,a(flip),b,5272,a),flip(a)]. 5419 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(3663,a,5306,a)]. 5420 T(x * K(y,K(z,u \ x)),u) = T(u \ x,K(y,z)) * u. [para(5307(a,1),3891(a,1,1,2))]. 5421 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [hyper(5296,a,5316,a)]. 5422 K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). [hyper(58,a,5353,a(flip),b,5316,a),flip(a)]. 5423 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(5316(a,2),3932(a,1,1))]. 5424 K(x,K(y,T(z,u))) != w | K(z,K(y,T(x,u))) = w. [para(5316(a,1),5296(a,1))]. 5425 K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. [para(5316(a,1),5324(a,1))]. 5426 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(5316(a,2),5267(a,1,2))]. 5427 K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). [para(5338(a,1),3931(a,1,1))]. 5428 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(5338(a,2),5327(a,1))]. 5429 K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). [para(5340(a,1),5262(a,1,1))]. 5430 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(58,a,2794,a,b,5343,a)]. 5431 x * (K(y,z) / x) = K(y,T(z,x)). [hyper(58,a,2802,a(flip),b,5343,a)]. 5432 T(K(x,T(y,z)),z) = K(x,y). [para(5343(a,1),2800(a,1,1))]. 5433 K(x,T(y,z)) * z = z * K(x,y). [para(5343(a,1),2809(a,1,1))]. 5434 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(5343(a,1),3170(a,1,1,1))]. 5435 K(x,T(T(y,z),z)) = K(x,y). [hyper(4737,a,5432,a)]. 5436 K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)). [hyper(4592,a,5432,a),flip(a)]. 5437 K(T(x,y),T(z,y)) = K(x,z). [hyper(58,a,3630,a,b,5432,a)]. 5438 K(x,T(y \ z,z)) = K(x,z / y). [hyper(35,a,3643,a,b,5432,a),flip(a)]. 5439 T(K(x,y \ z),y) = K(x,z / y). [para(103(a,1),5432(a,1,1,2))]. 5440 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(5432(a,1),225(a,1,2,1)),flip(a)]. 5441 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [para(3574(a,1),5432(a,1,1,2))]. 5442 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(3629(a,2),5432(a,1,1,2))]. 5443 T(T(K(x,y),z),z) = K(x,y). [para(3631(a,1),5432(a,1,1))]. 5444 T(K(x \ y,z),y) = K(y / x,z). [para(3666(a,1),5432(a,1,1))]. 5445 T(K(x \ y,z),x) = K(y / x,z). [para(3673(a,1),5432(a,1,1))]. 5446 K(x \ y,T(z,x)) = K(y / x,z). [hyper(3984,a,5435,a)]. 5447 K((x * y) / x,z) = K(y,T(z,x)). [hyper(3865,a,5435,a),flip(a)]. 5448 K(x \ y,T(z,y)) = K(y / x,z). [hyper(3843,a,5435,a)]. 5449 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(58,a,3669,a,b,5435,a)]. 5450 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(58,a,3668,a,b,5435,a)]. 5451 K(x * y,T(z,y)) = K(y * x,z). [hyper(58,a,3679,a(flip),b,5435,a)]. 5452 K(x,T(y \ z,y)) = K(x,z / y). [para(103(a,1),5435(a,1,2,1))]. 5453 K(x,T(y * z,z)) = K(x,z * y). [para(897(a,1),5435(a,1,2,1))]. 5454 K(x,T(y,z \ y)) = K(x,T(y,z)). [para(969(a,1),5435(a,1,2,1))]. 5455 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(1170(a,2),5435(a,1,2))]. 5456 K(x,T(y,z \ 1)) = K(x,T(y,z)). [para(3488(a,1),5435(a,1,2,1))]. 5457 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(3744(a,1),5435(a,1,2,1))]. 5458 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(5435(a,1),3680(a,1,1)),flip(a)]. 5459 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(5435(a,1),3865(a,1))]. 5460 K(x,T(y,z)) / (z \ 1) = (z \ 1) \ K(x,y). [para(5435(a,1),3779(a,1,2)),flip(a)]. 5461 K(T(x,y),z * y) = K(x,y * z). [hyper(58,a,3344,a(flip),b,5437,a)]. 5462 K(T(x,y),z \ y) = K(x,y / z). [hyper(58,a,3094,a(flip),b,5437,a)]. 5463 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(20(a,2),5437(a,1,2))]. 5464 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(22(a,2),5437(a,1,2))]. 5465 K(T(x,y),y \ z) = K(x,z / y). [para(103(a,1),5437(a,1,2))]. 5466 K(x,(y * z) / y) = K(T(x,y),z). [para(212(a,1),5437(a,1,2)),flip(a)]. 5467 K(x / (x / y),z) = K(y,T(z,x)). [para(409(a,1),5437(a,1,1)),flip(a)]. 5468 K(x,y / (y / z)) = K(T(x,y),z). [para(409(a,1),5437(a,1,2)),flip(a)]. 5469 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(968(a,1),5437(a,1,1)),flip(a)]. 5470 K(T(x,y \ 1),(1 / y) \ z) = K(x,z / (1 / y)). [para(1531(a,1),5437(a,1,2))]. 5471 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1602(a,1),5437(a,1,2))]. 5472 K(x * K(y,x),z) = K(x,T(z,y)). [para(2800(a,1),5437(a,1,1)),flip(a)]. 5473 K(x,y * K(z,y)) = K(T(x,z),y). [para(2800(a,1),5437(a,1,2)),flip(a)]. 5474 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(2879(a,1),5437(a,1,2))]. 5475 x * K(T(x,y),T(z,y)) = T(x,z). [para(5437(a,2),2882(a,2,2)),flip(a)]. 5476 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(5437(a,1),2870(a,1,1)),flip(a)]. 5478 T(T(T(x,y),T(z,y)) * u,T(x,y)) = K(x,z) * (u * T(x,y)). [para(5437(a,1),4071(a,2,1))]. 5479 K(x,T(y,z)) * (z * K(y,x)) = z. [para(5437(a,1),4280(a,1,2,2))]. 5480 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(5049(a,1),5437(a,1,1))]. 5481 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(5437(a,1),5137(a,1,1,1,2))]. 5482 T(K(1 / T(x,y),z),y) = K(1 / x,z). [hyper(3201,a,5443,a),flip(a)]. 5483 x / (x / K(y,z)) = T(K(y,z),x). [hyper(421,a,5443,a)]. 5484 (x * K(y,z)) / x = T(K(y,z),x). [hyper(249,a,5443,a)]. 5485 T(K(x,y),z) * z = z * K(x,y). [para(5443(a,1),101(a,1,2)),flip(a)]. 5486 (x * K(y,z)) / x != u | T(K(y,z),x) = u. [para(5443(a,1),289(a,1,1,2))]. 5487 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(5443(a,1),3499(a,1,1))]. 5488 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(5430(a,1),268(a,1,1))]. 5489 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(5430(a,1),1199(a,1,1)),flip(a)]. 5490 K(x,y \ z) * y = y * K(x,z / y). [para(103(a,1),5433(a,1,1,2))]. 5491 K(x,y \ z) * z = z * K(x,z / y). [para(375(a,1),5433(a,1,1,2))]. 5492 K(x,y * z) * z = z * K(x,z * y). [para(897(a,1),5433(a,1,1,2))]. 5493 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(5433(a,1),710(a,1,2,1)),flip(a)]. 5494 T(K(x,T(y,L(z,u,w))) * L(z,u,w),z) = L(z,u,w) * T(K(x,y),z). [para(5433(a,2),1946(a,1,1))]. 5495 K(x * y,z) * y = y * K(y * x,z). [para(3679(a,1),5433(a,1,1))]. 5496 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(5433(a,1),4019(a,1,2)),flip(a)]. 5497 (K(x,T(y,z * u)) * (u * z)) / z = ((z * u) * K(x,y)) / T(z,u). [para(5433(a,1),3398(a,1,1)),flip(a)]. 5498 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(58,a,5060,a(flip),b,5438,a)]. 5499 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(5438(a,1),3843(a,1))]. 5500 T(K(x \ y,z),y) = K((x / y) \ 1,z). [hyper(280,a,3461,a,b,5444,a),flip(a)]. 5501 x / K(x / y,z) = K(y \ x,z) \ x. [para(5444(a,1),428(a,1,2))]. 5502 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(280,a,3461,a,b,5445,a),flip(a)]. 5503 K((x / y) / x,z) = K(x \ (y \ x),z). [hyper(4003,a,5446,a),flip(a)]. 5504 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(58,a,3449,a,b,5446,a)]. 5505 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(9(a,2),5446(a,1,1)),flip(a)]. 5506 K(L(T(x,y),y,z),T(u,z * y)) = K((z * (x * y)) / (z * y),u). [para(219(a,1),5446(a,1,1))]. 5507 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(5446(a,1),3407(a,1,2)),flip(a)]. 5508 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(58,a,3167,a,b,5447,a)]. 5509 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(1208(a,2),5447(a,1,1))]. 5510 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(5447(a,1),2882(a,2,2)),flip(a)]. 5511 T(x * K((y * z) / y,x),u) = T(x,u) * K(z,T(T(x,u),y)). [para(5447(a,1),2869(a,1,2)),flip(a)]. 5512 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3149(a,1),5447(a,1,1))]. 5513 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(5447(a,1),3294(a,1,1))]. 5514 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(5447(a,1),3865(a,1))]. 5515 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(280,a,3679,a,b,5451,a),flip(a)]. 5516 K(x * y,L(T(z,y),u,w)) = K(y * x,L(z,u,w)). [para(20(a,2),5451(a,1,2))]. 5517 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [para(5451(a,1),2882(a,2,2)),flip(a)]. 5519 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(3372(a,1),5451(a,1,1))]. 5520 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(13(a,2),5452(a,1,2,1)),flip(a)]. 5521 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(280,a,3344,a,b,5453,a),flip(a)]. 5522 K(x,T(y,z) * z) = K(x,z * y). [para(917(a,1),5453(a,1,2))]. 5524 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [para(5456(a,1),2882(a,2,2))]. 5525 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [para(2161(a,1),5462(a,1,1))]. 5526 K(x,(x \ y) / z) != u | K(T(x,y),z \ (x \ y)) = u. [para(5462(a,1),3856(a,1))]. 5527 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(5187(a,1),5465(a,1,1))]. 5528 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(58,a,2795,a,b,5466,a)]. 5529 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(1202(a,2),5466(a,1,2))]. 5530 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(18(a,1),5467(a,2,2))]. 5531 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(58,a,4106,a,b,5472,a)]. 5532 (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). [hyper(58,a,3442,a,b,5472,a)]. 5533 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(3638(a,1),5472(a,1,1,2))]. 5534 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(3671(a,1),5472(a,1,1,2)),flip(a)]. 5535 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(2875(a,2),5473(a,1,2,2))]. 5536 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(2815(a,1),5475(a,1,2,2)),flip(a)]. 5537 x / (x * K(y,z)) = K(z,T(y,x)). [hyper(123,a,5479,a)]. 5538 x / (x * K(y,z)) != u | K(z,T(y,x)) = u. [para(5479(a,1),287(a,1,1))]. 5539 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(5483(a,1),1295(a,1,1,1))]. 5540 x / (x / K(y,z)) != u | K(y,T(z,x)) = u. [para(5483(a,2),4737(a,1))]. 5541 (x * L(K(y,z),u,w)) / x = L(T(K(y,z),x),u,w). [para(5484(a,1),1197(a,1,1)),flip(a)]. 5542 T(K(x,y) * z,z) = z * K(x,y). [hyper(58,a,917,a,b,5485,a)]. 5544 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(3819(a,1),5485(a,1,1))]. 5545 K(x,R(T(y,z),u,w) * z) = K(x,z * R(y,u,w)). [para(22(a,2),5522(a,1,2,1))]. 5546 x * ((y * (x * K(z,u))) \ x) = K(u,T(z,x)) * (y \ x). [para(5537(a,1),28(a,1,1)),flip(a)]. 5549 T(K(x,y),L(y,z,u)) != w | K(x,y) = w. [para(161(a,1),5488(a,1,1,2))]. 5550 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(3630(a,2),5488(a,1))]. 5552 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(3673(a,1),5488(a,1,1))]. 5553 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(103(a,1),5514(a,1,2,1))]. 5554 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(375(a,1),5514(a,1,2,1))]. 5555 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(897(a,1),5514(a,1,2,1))]. 5556 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(969(a,1),5514(a,1,2,1))]. 5557 K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. [para(1054(a,1),5514(a,1,2,1))]. 5558 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(3488(a,1),5514(a,1,2,1))]. 5559 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(3744(a,1),5514(a,1,2,1))]. 5560 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(3666(a,1),5514(a,1))]. 5561 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(3673(a,1),5514(a,1))]. 5562 K(x,T(y,z)) != u | K((z * x) / z,y) = u. [para(3675(a,1),5514(a,1))]. 5563 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(3679(a,1),5514(a,1))]. 5564 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(3676(a,1),5514(a,1))]. 5565 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(3668(a,2),5514(a,1))]. 5566 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(3669(a,2),5514(a,1))]. 5567 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(5451(a,1),5514(a,1))]. 5568 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(18(a,1),5550(a,1,2))]. 5569 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(20(a,2),5550(a,1,2))]. 5570 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(22(a,2),5550(a,1,2))]. 5571 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(103(a,1),5550(a,1,2))]. 5572 K(x,T(y,z)) != u | K(z / (z / x),y) = u. [para(409(a,1),5550(a,1,1))]. 5575 K(x,K(y,z)) * K(z \ (y \ 1),y) != u | K(z \ (y \ 1),T(y,x)) = u. [para(5352(a,1),4743(a,1,1))]. 5576 T(x,K(y,z)) != K(y,z) * u | x * K(z,y) = u. [para(5356(a,1),38(a,1))]. 5577 (x * K(y,z)) \ (x * T(u,K(y,z))) != w | L(u * K(z,y),K(y,z),x) = w. [para(5356(a,1),562(a,1,2,2))]. 5578 T(x * (y * z),K(y,z)) = K(y,z) * (x * (z * y)). [para(3145(a,1),5356(a,1,2)),flip(a)]. 5579 K(x,y) * (z * T(y,x)) = T(z * y,K(x,y)). [para(3372(a,1),5356(a,1,2))]. 5580 K(x,T(y,z)) * (u * K(y,T(x,z))) = T(u,K(x,T(y,z))). [para(3638(a,1),5356(a,1,2,2))]. 5581 K(x,y) * (z / T(x,y)) = T(z / x,K(x,y)). [para(4355(a,1),5356(a,1,2))]. 5582 x * T(y,K(x,z)) != u | T(x,z) * (y * K(z,x)) = u. [para(5356(a,1),4025(a,1,2))]. 5583 (K(x,y) * z) * ((K(x,y) * z) * K(y,x)) = z * (K(x,y) * z). [para(5357(a,2),769(a,1,2))]. 5585 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(2886(a,1),5358(a,1,2))]. 5586 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(5362(a,1),223(a,1,2,1)),flip(a)]. 5587 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(4668(a,2),5370(a,1,1))]. 5588 T(x \ K(y,z),x) = K(y,z) / x. [hyper(58,a,502,a(flip),b,5375,a)]. 5589 (K(x,y) / z) * (z \ 1) = (z \ 1) * (z \ K(x,y)). [para(5588(a,1),3507(a,1,1))]. 5590 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(5296,a,5418,a)]. 5591 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [para(5(a,1),5418(a,1,2,1)),flip(a)]. 5592 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(280,a,5353,a(flip),b,5421,a),flip(a)]. 5593 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(3253,a,5442,a),flip(a)]. 5594 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(4742,a,5457,a),flip(a)]. 5595 K(x,T(y,(z \ u) * 1)) = K(x,T(y,u \ z)). [para(3(a,2),5457(a,1,2,2))]. 5596 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(280,a,3476,a,b,5458,a),flip(a)]. 5597 K(x,y * z) * T(x,z \ 1) = T(T(x,z \ 1),z * y). [para(3514(a,1),5458(a,1,2)),flip(a)]. 5598 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(280,a,5468,a(flip),b,5474,a),flip(a)]. 5599 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(3201,a,5482,a),flip(a)]. 5601 K(x * y,(x / z) \ 1) = K(y * x,x \ z). [hyper(30,a,3918,a,b,5495,a)]. 5602 K(x,y * T(K(z \ u,y),u)) = K(T(x,(z / u) \ 1),y). [para(5500(a,2),5473(a,1,2,2))]. 5603 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(17(a,2),5502(a,1,1,1)),flip(a)]. 5604 K(x / (x * y),z) = K(x \ (y \ x),z). [para(374(a,1),5503(a,1,1))]. 5605 R(x,y \ z,K(y / z,u)) = x. [para(5504(a,1),3586(a,1,3))]. 5606 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(5605(a,1),584(a,1,1))]. 5607 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(160(a,1),5515(a,1,2)),flip(a)]. 5608 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(280,a,2882,a,b,5524,a),flip(a)]. 5609 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(5524(a,2),2916(a,1))]. 5610 T(x,T(T(y,z),z)) = T(x,y). [para(3488(a,1),5608(a,1,2)),flip(a)]. 5611 T(x,T(y \ z,y)) = T(x,z / y). [para(3508(a,1),5608(a,1,2)),flip(a)]. 5612 T(x,(y * z) / y) = T(x,T(z,y)). [para(3509(a,1),5608(a,1,2))]. 5613 T(x,T(y * z,z)) = T(x,z * y). [para(3514(a,1),5608(a,1,2)),flip(a)]. 5614 T(x,y * (z / y)) = T(x,T(z,y)). [para(3515(a,1),5608(a,1,2))]. 5615 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(3491(a,1),5608(a,1,2))]. 5616 T(x,y * (y / (y * z))) = T(x,T(y / z,y)). [para(3556(a,1),5608(a,1,2))]. 5617 T(x,T(T(y,z),z)) = T(x,L(y,y \ 1,u)). [hyper(280,a,3947,a,b,5610,a),flip(a)]. 5618 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(232(a,1),5610(a,1,2,1))]. 5620 T(x,(y / z) / z) = T(x,z \ (z \ y)). [para(988(a,1),5611(a,1,2)),flip(a)]. 5622 T(x,T(y * z,u) / y) = T(x,y \ T(z * y,u)). [para(1052(a,1),5611(a,1,2)),flip(a)]. 5623 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2821(a,2),5612(a,1,2))]. 5624 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(3292(a,1),5612(a,1,2,1)),flip(a)]. 5625 T(x,T(y,z) * z) = T(x,z * y). [para(917(a,1),5613(a,1,2))]. 5626 L(x,y,T(z,y)) * (T(z,y) * y) = T(T(z,y) * (y * x),y * z). [hyper(1039,a,5625,a)]. 5627 T(x,T(y \ z,u) * y) = T(x,y * T(z / y,u)). [para(232(a,1),5625(a,1,2,1))]. 5628 T(x,(y * z) * z) = T(x,z * (z * y)). [para(897(a,1),5625(a,1,2,1))]. 5629 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(280,a,5298,a,b,5590,a),flip(a)]. 5630 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(280,a,5277,a,b,5590,a),flip(a)]. 5631 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(5296,a,5591,a)]. 5632 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(230(a,1),5593(a,1,2,2,1))]. 5633 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(5596(a,1),223(a,1,2))]. 5634 (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(5596(a,2),220(a,1,1,1))]. 5635 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(5599(a,1),2965(a,2,2))]. 5637 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(4268(a,1),5629(a,1,1)),flip(a)]. 5638 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(5630(a,1),3140(a,1,3))]. 5639 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(3631(a,1),5631(a,1,2))]. 5640 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(280,a,5281,a,b,5637,a),flip(a)]. 5641 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(4621(a,1),5640(a,1,2,2))]. 5642 K(x,K(y,z * L(x,u,w))) = K(x,K(y,z)). [hyper(280,a,5277,a,b,5285,a),flip(a)]. 5644 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(5277(a,1),5401(a,1))]. 5645 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(2794(a,1),5459(a,1,1))]. 5646 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(280,a,5472,a(flip),b,5480,a),flip(a)]. 5647 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(569(a,1),5646(a,1,2,2)),flip(a)]. 5648 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(5430(a,1),5486(a,1))]. 5649 K(T(x,y),z) != u | T(K(x,z),y) = u. [para(3638(a,2),5648(a,1))]. 5650 T(K(x,y),z * y) != u | T(K(x,y),z) = u. [para(3650(a,2),5648(a,1))]. 5651 K(T(1 / x,y) \ 1,z) != u | T(K(x,z),y) = u. [para(3616(a,2),5649(a,1,1))]. 5652 K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). [hyper(5487,a,3197,a(flip)),flip(a)]. 5654 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(3630(a,2),5552(a,1))]. 5655 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(9(a,2),5553(a,1,2,1))]. 5656 K(x,T(y * L(y \ 1,z,u),w / y)) != v5 | K(x,(w * L(w \ (w / y),z,u)) / (w / y)) = v5. [para(1982(a,1),5553(a,1,2,1))]. 5657 K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5. [para(3676(a,1),5553(a,1))]. 5658 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(3676(a,1),5554(a,1))]. 5659 K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. [para(5594(a,1),5555(a,1))]. 5660 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(5521(a,1),5555(a,1))]. 5661 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(3754(a,1),5556(a,1,2))]. 5662 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(3494(a,1),5558(a,1,2))]. 5663 K(x \ y,T(y,z)) != u | K(y / x,T(y,z)) = u. [para(163(a,1),5560(a,1,2))]. 5664 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(435(a,1),5560(a,1,2))]. 5665 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(4028(a,1),5560(a,1,2))]. 5666 K((x * K(y,z)) \ u,T(y,x)) != w | K(u / (x * K(y,z)),y) = w. [para(4040(a,1),5561(a,1,2))]. 5667 K((x * y) * L(y,z,u),T(w,y)) != v5 | K(y * (x * L(y,z,u)),w) = v5. [para(2193(a,1),5563(a,1,1))]. 5669 K(x * y,L(T(z,x),u,w)) != v5 | K(y * x,L(z,u,w)) = v5. [para(20(a,2),5567(a,1,2))]. 5670 K((x \ y) * z,T(u,y \ x)) != w | K(z * (x \ y),u) = w. [para(5457(a,1),5567(a,1))]. 5671 K(T(x,y),(x \ y) \ z) != u | K(x,z / (x \ y)) = u. [para(423(a,1),5571(a,1,1))]. 5672 K(T(x,y * z),L(z \ u,z,y)) != w | K(x,(y * u) / (y * z)) = w. [para(88(a,2),5571(a,1,2))]. 5674 T(x,y * K(z,y)) != u | T(x,T(y,z)) = u. [para(3519(a,1),5609(a,1,2))]. 5675 T(x,T(y,z \ u)) != w | T(x,T(y,u \ z)) = w. [para(3491(a,1),5609(a,1,2))]. 5677 T(x,T(T(y,z),z)) != u | T(x,y) = u. [para(5617(a,2),3015(a,1))]. 5678 T(x,T(y \ z,y)) != u | T(x,z / y) = u. [para(103(a,1),5677(a,1,2,1))]. 5679 T(x,T(y,x)) != z | T(x,y) = z. [para(770(a,1),5677(a,1))]. 5680 T(x,T(y * z,z)) != u | T(x,z * y) = u. [para(897(a,1),5677(a,1,2,1))]. 5681 T(x * K(y,x),T(z,T(x,u))) != w | T(x * K(y,x),z) = w. [para(3923(a,1),5677(a,1))]. 5682 T(x,L(y,y \ 1,z)) != u | T(x,y) = u. [para(5617(a,1),5677(a,1))]. 5683 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(3756(a,1),5679(a,1))]. 5684 T(x,K(y,z / x)) != u | T(x,K(y,x \ z)) = u. [para(5439(a,1),5679(a,1,2))]. 5687 T(x,(y / z) \ 1) != u | T(x,z / y) = u. [para(4619(a,1),5682(a,1,2))]. 5688 K(x,K(y,z * (u * x))) = K(x,K(y,z * u)). [para(86(a,1),5642(a,1,2,2))]. 5690 (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(3442(a,2),5645(a,1))]. 5693 K(T(x,y) \ y,z) != u | K(y / x,z) = u. [para(503(a,1),5654(a,1,1))]. 5694 K(x \ T(y,x),z) != u | K(y / x,z) = u. [para(930(a,1),5654(a,1,1))]. 5695 T(x,y \ T(z * y,u)) != w | T(x,T(y * z,u) / y) = w. [para(1052(a,1),5678(a,1,2))]. 5697 T(x,y \ (y / z)) != u | T(x,z \ 1) = u. [para(935(a,1),5683(a,1,2))]. 5698 T(x,(y \ 1) \ z) != u | T(x,y / (z \ 1)) = u. [para(535(a,1),5687(a,1,2))]. 5699 T(x,(y * K(z,u)) \ 1) != w | T(x,z / (y * T(z,u))) = w. [para(3376(a,1),5687(a,1,2,1))]. 5704 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(4323(a,2),5299(a,1,2))]. 5705 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(5314(a,1),4040(a,1,2))]. 5706 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(2953(a,1),5319(a,1,1,2))]. 5707 T(x,K(y,z)) \ ((K(y,z) * x) * u) = x \ ((x * K(y,z)) * u). [para(4662(a,1),5329(a,1,2)),flip(a)]. 5708 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(5341(a,1),5264(a,1,2))]. 5709 T(x,y) \ T(x,T(y,z)) = K(T(x,y),K(y,z)). [hyper(4562,a,5345,a)]. 5710 T(x,K(y,z * T(x,u))) = T(x,K(y,z)). [hyper(280,a,5311,a(flip),b,5378,a),flip(a)]. 5711 T(x,K(y,z * x)) = T(x,K(y,z)). [para(100(a,1),5710(a,1,2,2,2))]. 5712 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(280,a,5355,a,b,5711,a),flip(a)]. 5713 T(x,K(y,z / x)) = T(x,K(y,z)). [para(7(a,1),5711(a,1,2,2)),flip(a)]. 5714 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(5376,a,5712,a)]. 5715 T(x,K(y,z / x)) = T(x,K(z,y)). [hyper(280,a,5355,a,b,5713,a),flip(a)]. 5716 T(x,K(x / y,z)) = T(x,K(y,z)). [para(3573(a,2),5715(a,1,2))]. 5717 T(x,K(y,z / x)) != u | T(x,K(y,z)) = u. [para(5715(a,2),5376(a,1))]. 5718 K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). [hyper(280,a,5421,a,b,5422,a),flip(a)]. 5719 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [para(20(a,2),5436(a,1,2))]. 5720 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(230(a,1),5436(a,1,2,1,1))]. 5722 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(5203,a,5450,a)]. 5723 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(2155(a,1),5450(a,1,1))]. 5724 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(2800(a,1),5455(a,1,2,1,1)),flip(a)]. 5725 (K(x,T(y,z)) * (z \ 1)) \ K(x,T(y,z)) = K(x,T(y,z)) \ ((z \ 1) \ K(x,y)). [hyper(111,a,5460,a(flip),b,255,a),flip(a)]. 5726 K(x,T(y,z)) * L(K(x,T(y,z)) \ (K(x,T(y,z)) / (z \ 1)),u,w) = ((z \ 1) \ K(x,y)) * ((z \ 1) * L((z \ 1) \ 1,u,w)). [para(5460(a,1),1840(a,1,1)),flip(a)]. 5727 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(2155(a,1),5463(a,1,2))]. 5728 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(5476(a,1),748(a,1,1,2)),flip(a)]. 5729 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(5476(a,1),5437(a,1,1))]. 5730 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(5473(a,1),5476(a,1,1,2))]. 5731 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(5561,a,5512,a)]. 5732 (x * y) \ (K(T(z,y),x * y) * u) = ((x * y) * K(y * x,z)) \ u. [para(5517(a,2),4282(a,2,1))]. 5733 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(5454(a,1),5533(a,1,1,2))]. 5734 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(280,a,4355,a(flip),b,5544,a),flip(a)]. 5735 K(x,T(y,z)) * (z / y) = z / T(y,x). [hyper(4764,a,5734,a)]. 5736 x / T(y,z) != u | K(z,T(y,x)) * (x / y) = u. [para(5734(a,1),4764(a,1))]. 5738 T(x,y * (y / (y * z))) = T(x,z \ y). [hyper(280,a,1530,a(flip),b,5616,a),flip(a)]. 5739 T(x,T(y,z) * (T(y,z) / (K(y,z) * u))) = T(x,(y \ u) \ T(y,z)). [para(4006(a,1),5738(a,1,2,2,2))]. 5740 T(x,T(y,z \ 1) * (T(y,z \ 1) / (z * T(y / z,u)))) = T(x,K(u,z / y) \ T(y,z \ 1)). [para(4775(a,1),5738(a,1,2,2,2))]. 5741 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(3302(a,1),5623(a,1,2,1))]. 5742 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(5458(a,2),5633(a,1,2))]. 5743 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(280,a,2965,a,b,5635,a),flip(a)]. 5744 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(103(a,1),5743(a,1,2,2,1))]. 5745 K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). [hyper(280,a,3197,a,b,5652,a),flip(a)]. 5747 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(3285(a,1),5704(a,1,1,2))]. 5748 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(33,a,2890,a(flip),b,5709,a)]. 5749 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(5376,a,5748,a)]. 5750 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(3162,a,5748,a)]. 5751 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(103(a,1),5748(a,1,1)),flip(a)]. 5752 T(x,T(y,z)) != T(u,y) | T(x,K(y,z)) = u. [para(5748(a,1),132(a,1))]. 5753 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [para(3629(a,2),5748(a,2,2))]. 5754 T(T(x,K(y,z)),z) = T(x,T(z,y)). [hyper(3162,a,5749,a)]. 5755 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(5749(a,1),3659(a,1,2))]. 5756 T(x,T(y,z)) != u | T(T(x,y),K(y,z)) = u. [para(5749(a,1),5376(a,1))]. 5757 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(2908(a,1),5750(a,1,1,2))]. 5758 T(x * K(y,x),T(y,z)) != u | T(x,K(y,z)) = u. [para(5750(a,1),3062(a,1))]. 5759 T(T(x,K(y,z)),T(y,z)) = T(x,y). [para(5359(a,1),5750(a,1,1)),flip(a)]. 5760 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(3653(a,1),5754(a,1,1)),flip(a)]. 5761 T(x \ K(y,z),T(z,y)) = T(K(y,z) / x,z). [para(5375(a,1),5754(a,1,1)),flip(a)]. 5762 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(103(a,1),5755(a,1,2,2)),flip(a)]. 5763 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(915(a,1),5755(a,1,2,2))]. 5764 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(1141(a,1),5755(a,1,2,2))]. 5765 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [para(423(a,1),5760(a,1,2))]. 5766 T(x,T(y \ z,K(y,u))) * T(y,u) = x * (T(y,u) * K(x,z / y)). [para(5751(a,1),5496(a,1,1,2))]. 5767 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(280,a,3821,a(flip),b,5762,a),flip(a)]. 5768 K(x,T(y,z * x)) = K(x,T(y,z)). [para(6(a,1),5767(a,1,2,2)),flip(a)]. 5769 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(170(a,1),5767(a,1,2,2)),flip(a)]. 5770 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(5767(a,1),5316(a,2,2))]. 5771 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(280,a,2457,a,b,5768,a)]. 5772 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(5768(a,1),3647(a,1,2))]. 5773 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(5768(a,1),5433(a,1,1))]. 5774 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(5514,a,5771,a)]. 5776 K(x,L(T(y * z,z),u,w)) = K(x,L(z * y,u,w)). [para(897(a,1),5719(a,1,2,1,1))]. 5777 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(2800(a,1),5742(a,1,2,1)),flip(a)]. 5778 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(504(a,1),5744(a,1,2,2))]. 5779 K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). [para(3509(a,1),5745(a,1,1,1))]. 5780 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(280,a,3347,a(flip),b,5757,a),flip(a)]. 5781 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(5757(a,2),3348(a,1))]. 5782 x * (T(y,z * x) * K(x,z)) = T(x,z) * T(y,x * z). [para(5780(a,1),4074(a,1,2)),flip(a)]. 5783 T(T(x,K(y,z)),y * z) = T(x,z * y). [para(5355(a,1),5780(a,1,1))]. 5784 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(3162,a,5783,a)]. 5785 T(x,y * z) != u | T(T(x,z * y),K(z,y)) = u. [para(5783(a,1),3162(a,1))]. 5786 T((x * y) / z,y * x) = T(z \ (x * y),K(x,y)). [para(375(a,1),5784(a,1,1)),flip(a)]. 5787 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(5770(a,2),5296(a,1))]. 5788 T(K(x,y),z * x) = T(K(x,y),z). [hyper(226,a,5772,a(flip),b,3644,a(flip))]. 5790 T(K(x,y),T(y,z) * x) = K(x,y). [hyper(280,a,2575,a(flip),b,5788,a),flip(a)]. 5792 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(280,a,3372,a(flip),b,5773,a),flip(a)]. 5794 T(T(x,T(y,z)) * z,x) = z * T(x,y). [hyper(58,a,4071,a,b,5792,a)]. 5795 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(112,a,5792,a(flip),b,4016,a(flip))]. 5796 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(761(a,1),5792(a,1,1,2))]. 5797 T(K(x,y),z) * (z * x) = z * T(x,y). [para(3631(a,1),5792(a,1,1))]. 5798 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(3824(a,1),5792(a,1,1))]. 5799 T(T(x,y * z) * z,x) = z * T(x,z * y). [para(897(a,1),5794(a,1,1,1,2))]. 5800 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(102(a,1),5795(a,1,1,2))]. 5801 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(3558(a,1),5795(a,1,1,2))]. 5802 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(4756,a,5797,a),flip(a)]. 5803 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). [para(1210(a,1),5779(a,1,1,1))]. 5804 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(3661(a,1),5802(a,1,1)),flip(a)]. 5805 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(5316(a,2),5269(a,1,2))]. 5806 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(5759(a,1),5379(a,1,1))]. 5807 T(T(x,y) * K(z,y),K(y,u)) != w | T(x * K(z,y),T(y,u)) = w. [para(4529(a,1),5806(a,1,1))]. 5808 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(5355(a,1),5806(a,1))]. 5809 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(5592(a,2),5399(a,1))]. 5810 K(x,y) * (z / K(x,y)) != u | T(z,K(x,y)) = u. [para(4323(a,2),5406(a,1,2))]. 5812 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(280,a,5472,a(flip),b,5534,a),flip(a)]. 5813 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(103(a,1),5812(a,1,2,2)),flip(a)]. 5814 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(5594(a,2),5559(a,1))]. 5816 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(5684,a,5715,a)]. 5817 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(5404,a,5816,a)]. 5818 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(280,a,5355,a,b,5817,a),flip(a)]. 5819 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(111,a,5817,a(flip),b,4290,a)]. 5820 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(5818(a,1),2894(a,1,2,1))]. 5821 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(5818(a,1),5370(a,1,1))]. 5822 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(5435(a,1),5781(a,1,1,2))]. 5823 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(5265(a,2),4764(a,1))]. 5824 K(x,K(y,z)) * T(u,K(x,y)) = T(K(x,y),z) * (u * K(y,x)). [para(5356(a,1),5265(a,1,2))]. 5826 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(5252(a,1),5275(a,1,1))]. 5827 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(5302(a,1),5275(a,1,1))]. 5828 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(5308(a,1),5275(a,1,1))]. 5829 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(5826(a,1),86(a,1,2))]. 5830 (x * y) * K(z,K(u,L(w,y,x))) != v5 | x * (y * K(z,K(u,w))) = v5. [para(5826(a,1),263(a,1,2))]. 5831 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(58,a,5826,a(flip),b,5827,a)]. 5832 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(58,a,5827,a(flip),b,5828,a)]. 5833 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(58,a,5826,a(flip),b,5828,a),flip(a)]. 5834 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(280,a,5383,a,b,5831,a)]. 5835 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(5162(a,1),5831(a,1,2)),flip(a)]. 5836 K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). [hyper(5390,a,5832,a),flip(a)]. 5837 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(280,a,5353,a(flip),b,5832,a),flip(a)]. 5839 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(269(a,1),5833(a,2,2,2))]. 5840 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(5833(a,1),5296(a,1))]. 5841 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(5833(a,2),5296(a,1))]. 5842 K(x \ T(y,z),x \ y) = K(z,K(y,T(y,z) \ x)). [hyper(280,a,5349,a(flip),b,5284,a),flip(a)]. 5843 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [hyper(3694,a,5323,a)]. 5844 T(x * y,K(z,(1 / y) \ x)) = x * y. [hyper(195,a,5351,a(flip)),flip(a)]. 5845 T(x * y,K(z,(y \ 1) \ x)) = x * y. [para(376(a,1),5844(a,1,2,2,1))]. 5846 K((x \ 1) \ y,z) * (y * x) = (y * x) * K((x \ 1) \ y,z). [para(5845(a,1),3531(a,1,1)),flip(a)]. 5847 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5083(a,1),5381(a,2,2))]. 5848 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(280,a,5261,a(flip),b,5409,a),flip(a)]. 5849 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(3529(a,1),5848(a,1,2))]. 5850 T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. [para(5416(a,2),5269(a,1))]. 5851 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(766(a,1),5426(a,1,2,2,2))]. 5852 K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(5751(a,1),5429(a,2,2))]. 5853 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(4040(a,1),5440(a,1,1,1,2))]. 5854 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [hyper(58,a,5441,a,b,5470,a)]. 5855 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(3938,a,5510,a)]. 5856 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(4283,a,5855,a)]. 5857 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(2794(a,1),5856(a,1,2,1))]. 5858 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(3490(a,1),5857(a,1,2)),flip(a)]. 5859 K(x * y,x * (z * y)) = K(y * x,L(z,y,x)). [hyper(3022,a,5516,a)]. 5860 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(5529(a,1),2882(a,2,2))]. 5862 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [para(2794(a,2),5532(a,1,2,1))]. 5863 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(58,a,2666,a,b,5536,a)]. 5864 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [hyper(183,a,5539,a)]. 5866 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) != v5 | z = v5. [para(5541(a,1),248(a,1,1))]. 5867 K(x,(T(y,z) * u) * (u \ z)) = K(x,z * R(y,u,u \ z)). [para(306(a,1),5545(a,1,2))]. 5868 T(x * (y / (z / y)),K(y,y / z)) = K(y,y / z) * (x * ((y / z) * y)). [para(1007(a,2),5578(a,1,1,2))]. 5869 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(58,a,4663,a(flip),b,5606,a),flip(a)]. 5870 T(T(x,y * T(y \ z,u)),K(y,T(y \ z,u))) = T(x,y * T(z / y,u)). [hyper(5785,a,5627,a)]. 5871 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(58,a,3250,a(flip),b,5632,a)]. 5872 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(1594(a,1),5647(a,1,2,2)),flip(a)]. 5873 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(280,a,5774,a,b,5731,a)]. 5874 K(T(x * y,y) / x,z) = K(y,z). [hyper(4150,a,5873,a),flip(a)]. 5876 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(5(a,1),5874(a,1,1,1,1))]. 5877 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(58,a,5533,a(flip),b,5733,a),flip(a)]. 5878 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(5615(a,1),5877(a,1,2))]. 5879 T(x,1 / T(y,z)) = T(x,T(1 / y,z)). [hyper(5806,a,5753,a),flip(a)]. 5880 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(411(a,1),5879(a,1,2,2))]. 5881 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(30,a,2810,a,b,5777,a)]. 5882 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(58,a,5880,a(flip),b,5778,a)]. 5883 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(280,a,2505,a,b,5796,a),flip(a)]. 5885 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(5800(a,1),3384(a,1,1,1))]. 5886 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(1087(a,1),5819(a,1,1,1,1))]. 5887 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(280,a,5491,a(flip),b,5821,a),flip(a)]. 5888 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(269(a,1),5834(a,1,2,2)),flip(a)]. 5889 K(x \ T(y,z),x \ y) = K(z,K(y,x)). [hyper(280,a,4794,a(flip),b,5842,a),flip(a)]. 5890 K(x \ T(y,z),x \ y) = K(x,K(y,z)). [hyper(280,a,5250,a,b,5889,a),flip(a)]. 5892 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(5850,a,5849,a(flip)),flip(a)]. 5893 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(4323(a,1),5892(a,1,2))]. 5894 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(4081(a,1),5862(a,1,2))]. 5895 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(2899,a,5863,a)]. 5896 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5112(a,1),5895(a,1,2,1)),flip(a)]. 5897 x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). [para(3631(a,2),5864(a,2,1))]. 5898 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(5881(a,1),3815(a,1,2))]. 5899 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [hyper(4073,a,5887,a)]. 5900 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(29,a,5292,a,b,5887,a(flip))]. 5901 K(x,K(y,z)) * K(y,x / z) = K(y,z \ x). [hyper(5330,a,5899,a)]. 5902 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(5250(a,1),5899(a,1,1))]. 5903 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(5281(a,2),5899(a,1,1))]. 5904 K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). [hyper(5330,a,5900,a)]. 5905 K(x,K(y,(x / z) * u)) * K(y,x / ((x / z) * u)) = K(y,x \ ((x / u) * z)). [para(693(a,1),5901(a,2,2))]. 5906 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [para(5250(a,1),5901(a,1,1))]. 5907 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [para(5281(a,2),5901(a,1,1))]. 5908 K(x,K(y,z * u)) * K(y,x \ (z * (u * x))) = K(y,(z * (u * x)) / x). [para(5688(a,1),5902(a,1,1))]. 5909 K(x,K(L(y \ 1,y,z),z)) * K(x,L(y \ 1,y,z) \ z) = K(x,z * y). [para(338(a,1),5903(a,2,2))]. 5910 K(x,K(y * z,y * (u * z))) * K(x,L(T(u,z),z,y)) = K(x,(y * (u * z)) / (y * z)). [para(219(a,1),5903(a,1,2,2))]. 5911 (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(5903(a,1),2898(a,1,1,1))]. 5912 K(x,K(y,z * u)) * K(x,(z * (u * y)) / y) = K(x,y \ (z * (u * y))). [para(4600(a,1),5907(a,1,1,2))]. 5914 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(58,a,5104,a(flip),b,5509,a),flip(a)]. 5915 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(5827(a,2),5840(a,1))]. 5916 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(5828(a,2),5840(a,1))]. 5917 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(5298(a,1),5841(a,1))]. 5918 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(3235(a,1),5300(a,1,2)),flip(a)]. 5919 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(7(a,1),5321(a,1,2,1))]. 5920 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(58,a,5257,a(flip),b,5408,a),flip(a)]. 5921 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(4(a,1),5920(a,1,2,2)),flip(a)]. 5922 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(3415(a,2),5525(a,1,2,2))]. 5923 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(2794(a,1),5528(a,1,1,1,2))]. 5924 T(T(x,y \ 1),y * z) = T(x,z * y) * K(y,x). [hyper(4541,a,5597,a),flip(a)]. 5925 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(58,a,5535,a(flip),b,5602,a),flip(a)]. 5926 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(5749(a,1),5706(a,2,1))]. 5927 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(5437(a,1),5722(a,1,1)),flip(a)]. 5928 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(5204,a,5927,a)]. 5929 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(173(a,1),5927(a,1,1,2)),flip(a)]. 5930 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(428(a,1),5927(a,1,1,2))]. 5932 L(K(x,y * x),T(y,x),z) = K(x,y * x). [hyper(280,a,3127,a(flip),b,5928,a),flip(a)]. 5933 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(2974(a,2),5929(a,1,2)),flip(a)]. 5934 K(L(x,x \ 1,y),z) = K(x,z). [hyper(280,a,542,a(flip),b,5930,a),flip(a)]. 5935 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(5565,a,5934,a),flip(a)]. 5936 K(R(x,x \ 1,y),z) = K(x,z). [para(3990(a,2),5934(a,1,1))]. 5937 K(R(x,x \ 1,y),L(z,x,u)) = K(x,z). [hyper(280,a,5162,a(flip),b,5936,a),flip(a)]. 5939 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(2959(a,1),5932(a,1,1))]. 5940 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(3157(a,2),5939(a,1,1))]. 5941 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(5935(a,1),5550(a,1))]. 5942 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(2450(a,2),5940(a,1,1))]. 5943 L(K(x,y),K(z,x),u) = K(x,y). [hyper(5941,a,5933,a),flip(a)]. 5944 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(5943(a,1),86(a,1,2))]. 5945 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(5943(a,1),558(a,1,2,1))]. 5946 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(4329,a,5944,a)]. 5947 R(x,K(y,z),K(z,u)) = x. [hyper(593,a,5944,a)]. 5948 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(3662(a,2),5944(a,2,2))]. 5949 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(280,a,4323,a(flip),b,5947,a),flip(a)]. 5950 (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(5947(a,1),2777(a,1,1,1))]. 5951 R(x,T(K(y,z),u),K(z,w)) = x. [para(3198(a,1),5947(a,1,2))]. 5952 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(3235(a,1),5947(a,1,2))]. 5953 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(5952(a,1),585(a,1,1))]. 5954 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(5952(a,1),616(a,1,1))]. 5955 (x * K(y,z)) \ (x * K(y,u)) = K(z,y) * K(y,u). [para(5949(a,1),585(a,1,1))]. 5956 (x * (K(y,z) * K(z,u))) * w != x * K(y,z) | K(u,z) = w. [para(5946(a,1),38(a,1)),flip(a)]. 5957 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(3662(a,2),5946(a,1,1,2))]. 5958 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(226,a,5948,a,b,698,a)]. 5960 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(5957(a,1),4330(a,1,1))]. 5961 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(280,a,5472,a(flip),b,5729,a),flip(a)]. 5963 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [para(2908(a,2),5961(a,1,1,1))]. 5964 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(280,a,5882,a(flip),b,5741,a),flip(a)]. 5965 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(29,a,4954,a,b,5782,a)]. 5966 T(x * K(y,z),z * y) = ((z * y) \ x) * (y * z). [hyper(280,a,3152,a(flip),b,5965,a),flip(a)]. 5967 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(58,a,5795,a(flip),b,5801,a),flip(a)]. 5968 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [hyper(111,a,5967,a(flip),b,2882,a(flip)),flip(a)]. 5969 K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). [hyper(280,a,2890,a,b,5968,a),flip(a)]. 5970 K(x,T(x * (y \ 1),z)) != u | K(x,T(y \ x,z)) = u. [para(5968(a,2),2900(a,1))]. 5971 K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). [hyper(58,a,2960,a,b,5969,a)]. 5972 K(x,T((y \ 1) * x,z)) != u | K(x,T(y \ x,z)) = u. [para(2960(a,2),5970(a,1))]. 5973 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(420(a,1),5860(a,1,2,1))]. 5974 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(3693(a,1),5898(a,1,2))]. 5975 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(124,a,5923,a)]. 5976 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(5923(a,1),3059(a,1,1))]. 5977 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(58,a,5961,a(flip),b,5963,a)]. 5978 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(58,a,5763,a,b,5977,a)]. 5979 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(280,a,5860,a,b,5973,a)]. 5980 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(5975(a,1),4273(a,1,2))]. 5981 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(5975(a,1),4286(a,1,2))]. 5982 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(58,a,3789,a(flip),b,5976,a)]. 5983 ((x * y) / x) / ((x * (y * K(z \ ((u \ 1) * w),y))) / x) = K(y,T(z \ ((1 / u) * w),x)). [para(2479(a,1),5980(a,1,2,1,2,2))]. 5984 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(3462(a,1),5980(a,1,2,1,2,2)),flip(a)]. 5985 ((x * y) / x) / ((x * (y * K(z \ (y * u),y))) / x) = K(y,T(z \ (u * y),x)). [para(4192(a,1),5980(a,1,2,1,2,2))]. 5986 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(3647(a,1),5489(a,1,1,2)),flip(a)]. 5987 (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. [para(2794(a,2),5690(a,1,2,1))]. 5988 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(5568,a,5723,a),flip(a)]. 5989 K(x,K(y,z)) * (K(x,x \ y) * u) != w | K(x,T(x \ y,z)) * u = w. [para(5353(a,1),5823(a,1,1))]. 5990 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(3471(a,2),5942(a,1,1))]. 5991 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(4155,a,5988,a)]. 5992 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(5(a,1),5991(a,1,2,2)),flip(a)]. 5993 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(1063(a,1),5991(a,1,2,2))]. 5994 T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. [hyper(58,a,1540,a(flip),b,4390,a)]. 5995 K(x,L(y \ z,y,u)) = K(x,(u * y) \ (u * z)). [hyper(58,a,5160,a(flip),b,4476,a)]. 5996 K(x,L(y \ (z \ u),y,T(T(u,z),w))) = K(x,(T(T(u,z),w) * y) \ ((z \ u) * T(u,w))). [para(972(a,1),5995(a,2,2,2))]. 5997 K(x,L(y \ L(y,z,u),y,w)) = K(x,w \ ((w / y) * L(y,z,u))). [para(2402(a,1),5995(a,2,2))]. 5998 T(K(x,y) * (T(y,x) / z),y) = (K(y,x) * z) \ T(y,x). [para(2887(a,2),4495(a,2,1,1))]. 5999 (K(x,y) * z) \ T(x,y) = (z \ T(x,y)) * K(y,x). [hyper(58,a,4933,a(flip),b,5998,a),flip(a)]. 6000 L(x \ y,x,K(y,z)) = (x \ T(y,z)) * K(z,y). [hyper(2926,a,5999,a)]. 6001 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(280,a,495,a(flip),b,4530,a),flip(a)]. 6002 (x * T((y \ 1) / x,z)) \ 1 = T(x * y,z) / x. [hyper(280,a,4711,a(flip),b,4590,a),flip(a)]. 6003 T(x \ 1,y) * (T(x,y) * z) = L(z,T(x,y),T(x \ 1,y)). [hyper(280,a,4975,a(flip),b,4591,a),flip(a)]. 6004 (L(x,y,1 / y) \ (y * x)) \ (y * x) = (1 / y) * (x * y). [para(243(a,1),4614(a,1,1,1))]. 6005 T(L(x,y,1 / y),(y * x) / L(x,y,1 / y)) = (1 / y) * (x * y). [hyper(757,a,6004,a)]. 6006 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(280,a,3295,a(flip),b,4678,a),flip(a)]. 6007 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(3804,a,6006,a(flip)),flip(a)]. 6008 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(4(a,1),6007(a,2,2))]. 6009 T(x,(y \ z) \ 1) * T(z,y) = x * (T(y \ z,x) * y). [para(3515(a,2),4687(a,1,1))]. 6010 T(x,y \ z) * T(y,z) = x * (T(z \ y,x) * z). [para(3491(a,1),6009(a,1,1))]. 6011 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [hyper(4749,a,5646,a)]. 6012 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [para(5(a,1),6011(a,1,2,2)),flip(a)]. 6013 K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). [para(7(a,1),6012(a,1,2,1)),flip(a)]. 6014 K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). [hyper(280,a,3799,a(flip),b,6013,a),flip(a)]. 6015 K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). [para(7(a,1),6014(a,1,2,1)),flip(a)]. 6016 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(280,a,3799,a(flip),b,6015,a),flip(a)]. 6018 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [para(376(a,2),4783(a,2,1,2))]. 6019 a(x \ 1,y,(y \ 1) * x) = x * L(x \ 1,y,y \ 1). [para(528(a,1),4806(a,1,3))]. 6020 a((x \ y) \ 1,y,(y \ 1) * (x \ y)) = x \ (y * ((y \ 1) * x)). [hyper(280,a,2188,a(flip),b,6019,a),flip(a)]. 6021 (x * (y \ z)) \ (z / y) != u | (y \ z) \ (x \ (z / y)) = u. [para(4821(a,1),4638(a,1))]. 6022 T(x \ (x / y),z) * x = L(y \ 1,y,x) * (K(z,y) * x). [hyper(58,a,4787,a(flip),b,4909,a),flip(a)]. 6023 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(60(a,1),4910(a,2,2))]. 6024 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),1 / ((y * z) \ y)). [para(6023(a,1),3051(a,1,1))]. 6025 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6023(a,1),4114(a,1,1)),flip(a)]. 6026 K(R(x,y,x),R(x,y,x) * z) * T(x * L(z,u,w),x) = L(z,u,w) * T(R(x,y,x),R(x,y,x) * z). [para(1029(a,1),4913(a,1,2))]. 6027 K(R(x,y,x),R(x,y,x) * z) * T(x * R(z,u,w),x) = R(z,u,w) * T(R(x,y,x),R(x,y,x) * z). [para(1029(a,1),4914(a,1,2))]. 6028 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(67(a,1),4953(a,1,2,2,1,2)),flip(a)]. 6029 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(378(a,1),4959(a,1,2,1,2)),flip(a)]. 6030 K(x,y) * ((y \ 1) * (z * K(y,x))) = (y \ 1) * T(z,K(y,x)). [para(4272(a,1),6029(a,2,2))]. 6031 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(115,a,4996,a)]. 6032 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(494(a,1),4996(a,1,2)),flip(a)]. 6033 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(4518(a,1),4996(a,1,2)),flip(a)]. 6034 T(K(x,y) * (K(x,y) \ ((z \ 1) \ K(x,y))),x) = K(z,x) * ((z \ 1) \ K(x,y)). [hyper(280,a,3261,a,b,6033,a),flip(a)]. 6035 (T(K(x,y) * z,x) * u) / (T(z,x) * u) = R(K(x,y),T(z,x),u). [para(6033(a,2),15(a,2,1,1)),flip(a)]. 6036 T(K(x,y) * (x / z),x) = K(x,y) * (z \ x). [para(375(a,1),6033(a,2,2))]. 6037 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(5199(a,1),5021(a,1,2,2))]. 6038 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(3647(a,1),6037(a,1,2)),flip(a)]. 6039 x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. [hyper(294,a,6038,a),flip(a)]. 6040 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(5091(a,1),4826(a,1,2)),flip(a)]. 6041 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(5147,a,5132,a)]. 6042 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(6041(a,1),4317(a,1,1,2)),flip(a)]. 6043 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(280,a,4317,a(flip),b,6042,a),flip(a)]. 6044 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(5(a,1),6043(a,1,1,1)),flip(a)]. 6045 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(58,a,5047,a,b,6044,a)]. 6046 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(6044(a,1),3002(a,2,2,2)),flip(a)]. 6047 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(3003,a,6046,a),flip(a)]. 6048 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(58,a,5054,a,b,6047,a)]. 6049 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(3388(a,1),5158(a,1))]. 6051 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(5061(a,2),6049(a,1))]. 6052 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(5205(a,2),4343(a,1,1))]. 6053 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(2174(a,1),5226(a,2,1)),flip(a)]. 6054 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(5230(a,1),5231(a,1,1))]. 6055 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(4318,a,5244,a)]. 6056 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [para(5178(a,1),5415(a,1,2,2))]. 6057 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(29,a,5415,a,b,6056,a)]. 6058 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1814(a,1),6057(a,1,2,2))]. 6059 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(5446(a,1),5507(a,1,1)),flip(a)]. 6060 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(6059(a,1),630(a,1))]. 6061 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(6060,a,3870,a),flip(a)]. 6062 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(3101(a,1),6061(a,1,2))]. 6063 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(3468(a,1),6062(a,2,2))]. 6064 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(280,a,4895,a(flip),b,6063,a),flip(a)]. 6065 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [hyper(175,a,6064,a),flip(a)]. 6066 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(6065(a,2),1779(a,2,1))]. 6067 T(x,y) * K(z,T(T(x,y),u)) = T(x * K(z,T(x,u)),y). [para(5447(a,1),5511(a,1,1,2)),flip(a)]. 6068 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(3856,a,5527,a)]. 6069 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(219(a,1),6068(a,1,2))]. 6071 T(K((x \ 1) \ y,z),y * x) = K((x \ 1) \ y,z). [hyper(226,a,5846,a,b,xx)]. 6072 T((x * y) \ ((x * K((y \ 1) \ x,z)) * y),x) = R(K((y \ 1) \ x,z),x,y). [para(6071(a,1),1602(a,2,1))]. 6073 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(280,a,5335,a(flip),b,5847,a),flip(a)]. 6074 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(70(a,1),6073(a,1,2,2,1,2))]. 6075 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(4146,a,6074,a)]. 6076 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(5805,a,5851,a),flip(a)]. 6077 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(58,a,5765,a(flip),b,6076,a),flip(a)]. 6078 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(280,a,5857,a(flip),b,5858,a),flip(a)]. 6079 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(5(a,1),6078(a,1,2,1,1)),flip(a)]. 6080 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(58,a,3872,a(flip),b,6079,a)]. 6082 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. [para(5994(a,1),5434(a,1,1,1,2)),flip(a)]. 6083 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [para(376(a,2),6018(a,1,1,2))]. 6084 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(376(a,1),6025(a,1,1,1))]. 6085 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(58,a,5126,a(flip),b,6030,a)]. 6086 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(29,a,1997,a(flip),b,6085,a(flip)),flip(a)]. 6088 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(1102,a,6086,a),flip(a)]. 6089 x * T(x \ y,K(x,z)) = T(y,K(x,z)). [hyper(126,a,6088,a(flip))]. 6091 T(x,K(y,z)) / y = T(x / y,K(y,z)). [hyper(112,a,6089,a(flip),b,495,a)]. 6092 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(4(a,1),6089(a,1,2,1)),flip(a)]. 6093 T(x * (y \ 1),K(y,z)) = T(x,K(y,z)) * (y \ 1). [para(6089(a,1),1863(a,1,1)),flip(a)]. 6094 T(x,K(y,z)) / z = T(x / z,K(z,y)). [para(5355(a,1),6091(a,1,1))]. 6095 T(x,y) * (z * K(y,x)) = T(x * z,K(x,y)). [hyper(5582,a,6092,a(flip))]. 6096 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(5585(a,1),6092(a,2,2))]. 6097 T(x,K(y,z)) / z = T(x / z,K(y,z)). [hyper(280,a,5355,a,b,6094,a),flip(a)]. 6098 T(x * y,K(z,x)) = x * T(y,K(z,x)). [hyper(32,a,748,a,b,6097,a),flip(a)]. 6099 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6031(a,1),1048(a,1,1))]. 6100 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(29,a,4496,a(flip),b,6032,a(flip))]. 6101 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(3404,a,6100,a)]. 6102 T(L(x,y,z) * K(u,w),u) = L(T(x,u),y,z) * K(u,w). [para(20(a,2),6100(a,2,1))]. 6103 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(103(a,1),6100(a,2,1))]. 6104 T((x / y) * K(x,z),x) = (y \ x) * K(x,z). [para(375(a,1),6100(a,2,1))]. 6105 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [para(6101(a,2),3377(a,1,1))]. 6106 T(x,y) * K(y,z) != u | T(x * K(y,z),y) = u. [para(6101(a,1),3412(a,1))]. 6107 T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. [para(6103(a,2),39(a,1))]. 6108 (x \ y) * K(y,z) != u | (K(z,y) * x) \ y = u. [para(6104(a,1),4920(a,1))]. 6109 T(x * T(y,z),y) = T(x,y) * T(y,z). [hyper(954,a,6105,a)]. 6110 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(6109(a,2),4089(a,1,2))]. 6111 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(58,a,3244,a(flip),b,6110,a)]. 6112 L(T(x,y),z,u) * K(y,w) != v5 | T(L(x,z,u) * K(y,w),y) = v5. [para(20(a,2),6106(a,1,1))]. 6113 T(K(x,y) * L(y,z,u),x) = L(T(y,x),z,u) * K(x,y). [para(2561(a,1),6102(a,1,1))]. 6114 K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. [para(6040(a,2),4286(a,1))]. 6115 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(6055(a,1),287(a,1,1))]. 6116 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1815(a,1),6055(a,1,1,2))]. 6117 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * u) / (x * (y \ u)))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(6055(a,1),571(a,1,1)),flip(a)]. 6118 K(x * (K(y,z) * u),z) = K(x * u,z). [para(6055(a,1),4120(a,1,1)),flip(a)]. 6119 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(6055(a,1),4096(a,1,2)),flip(a)]. 6120 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6055(a,1),5150(a,1,2,1)),flip(a)]. 6121 K(x * (K(y,z) * u),y) = K(x * u,y). [para(2897(a,1),6118(a,1,1,2,1))]. 6122 K(x * (y * K(z,u)),u) = K(x * y,u). [para(3774(a,1),6118(a,1,1,2))]. 6123 K(x * ((y * z) \ u),z) = K(x * ((z * y) \ u),z). [para(4261(a,1),6118(a,1,1,2)),flip(a)]. 6124 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(6121(a,1),3171(a,1,2,1,2)),flip(a)]. 6125 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(6121(a,1),4068(a,1,2,1,2)),flip(a)]. 6126 K(x * (y * K(z,u)),z) = K(x * y,z). [para(5433(a,1),6121(a,1,1,2))]. 6127 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(6122(a,1),5980(a,1,2,1,2,2)),flip(a)]. 6128 K(x * (K(y,z) * u),y) = K(x * (u * K(y,w)),y). [hyper(280,a,6121,a,b,6126,a)]. 6129 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(2897(a,1),6119(a,1,2,2,1))]. 6130 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(3566(a,1),6119(a,1,2,2,1))]. 6131 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(2920(a,1),6130(a,1,2,2)),flip(a)]. 6132 K(x,y * (z * K(u,x))) = K(x,y * z). [para(5479(a,1),6130(a,1,2,2)),flip(a)]. 6133 K(x,y * L(z,u,z)) = K(x,y * z). [para(1472(a,2),6132(a,1,2,2))]. 6134 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(4894(a,1),6132(a,1,2,2))]. 6135 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(5735(a,1),6129(a,1,2,2))]. 6136 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(4630(a,1),6135(a,1,2,2)),flip(a)]. 6137 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(4283,a,6116,a),flip(a)]. 6138 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(4268(a,1),6116(a,1,2,2)),flip(a)]. 6139 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(5437(a,1),6116(a,1,1))]. 6140 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(111,a,62,a(flip),b,6137,a),flip(a)]. 6141 (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(111,a,6140,a,b,2074,a)]. 6142 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(6058(a,2),5397(a,1))]. 6143 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(58,a,5921,a(flip),b,6077,a)]. 6144 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(6143(a,1),4737(a,1))]. 6145 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(6083(a,1),2806(a,2,2))]. 6146 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(280,a,2466,a(flip),b,6084,a),flip(a)]. 6147 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(4(a,1),6099(a,1,1,2,1)),flip(a)]. 6148 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [hyper(30,a,5965,a(flip),b,6147,a(flip))]. 6149 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6147(a,2),39(a,1))]. 6150 T(K(x,y) * z,x * y) = (y * x) \ (z * (x * y)). [hyper(280,a,4262,a,b,6148,a),flip(a)]. 6151 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(3395(a,1),2883(a,1,1))]. 6152 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(597,a,6151,a),flip(a)]. 6153 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(5325(a,1),6152(a,1,3)),flip(a)]. 6154 L(T(x,y),z,u) \ L(T(T(x,w),y),z,u) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(2892(a,2),4744(a,1))]. 6155 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(280,a,5298,a,b,2948,a),flip(a)]. 6156 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(2948(a,2),5327(a,1))]. 6157 L(x,y,K(z * u,z)) != w | L(x,y,K(u,z)) = w. [para(3076(a,1),545(a,1)),flip(b)]. 6159 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(101(a,1),3174(a,1,2)),flip(a)]. 6160 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(280,a,2573,a(flip),b,6159,a)]. 6161 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(280,a,3308,a(flip),b,6160,a),flip(a)]. 6163 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(1303(a,2),3282(a,1,2))]. 6164 ((x / y) * (y * (y \ 1))) / (y \ 1) = x * a(y \ 1,y,x). [para(834(a,1),3962(a,2,2))]. 6165 x * a(y \ 1,y,x) = (x / y) / (y \ 1). [para(62(a,1),6164(a,1,1)),flip(a)]. 6166 x * a(y \ 1,y,x) = (y \ 1) \ (y \ x). [hyper(280,a,3533,a(flip),b,6165,a),flip(a)]. 6167 x \ ((y \ 1) \ (y \ x)) = a(y \ 1,y,x). [hyper(111,a,3533,a(flip),b,6165,a)]. 6169 x \ ((y \ 1) \ (y \ x)) != z | a(y \ 1,y,x) = z. [para(6166(a,1),265(a,1,2)),flip(b)]. 6170 ((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = (((x \ y) \ 1) * (x \ 1)) * L(((x \ 1) \ 1) * (x \ y),z,u). [para(6166(a,2),2621(a,2,2,2,1)),flip(a)]. 6171 (x * (y \ 1)) \ (x / y) = a(y \ 1,y,x). [hyper(58,a,4852,a,b,6167,a)]. 6172 (x \ y) * ((y \ 1) * x) = a(x \ 1,x,y). [hyper(58,a,2596,a(flip),b,6167,a)]. 6175 L(x * L(x \ 1,x,y),x \ 1,y) != z | a(x \ 1,x,y) = z. [para(4853(a,2),6169(a,1))]. 6176 (x / y) \ L(x / y,y,y \ 1) = a(y \ 1,y,x) \ 1. [para(6171(a,1),3966(a,2,1))]. 6177 (x / y) \ L(x / y,y,y \ 1) = a(x,y,y \ 1). [hyper(280,a,3969,a(flip),b,6176,a),flip(a)]. 6178 a(x / y,y,y \ 1) = a(x,y,y \ 1). [hyper(3960,a,6177,a)]. 6179 a(x * y,y,y \ 1) = a(x,y,y \ 1). [para(6(a,1),6178(a,1,1)),flip(a)]. 6180 (x / (y \ 1)) \ (x * y) = a(x,y,y \ 1). [hyper(58,a,2714,a(flip),b,6179,a)]. 6182 (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(5433(a,1),4288(a,1,1,3)),flip(a)]. 6183 L(x,K(y,z),u * K(z,y)) != u \ w | (u * K(z,y)) * (K(y,z) * x) = w. [para(4360(a,1),42(a,1))]. 6184 x \ (y / a(x * K(z,u),K(u,z),((x * K(z,u)) * K(u,z)) \ y)) = L(((x * K(z,u)) * K(u,z)) \ y,K(u,z),x * K(z,u)). [para(308(a,2),4360(a,1,2))]. 6185 K(x,y) * (K(x,y) * z) != u | y * (T(T(y,x),x) \ z) = u. [para(2953(a,1),4554(a,1,2,1))]. 6186 (x * K(y,x)) * T(z,x) = z * (x * K(y,T(x,z))). [hyper(4757,a,4606,a),flip(a)]. 6187 T(T(x,y) * z,K(x,y) * z) = T(x,y) * T(z,x \ z). [hyper(4815,a,3136,a)]. 6188 T(T(x,y) * z,K(x,y) * z) = K(x,y) * T(x * z,z). [hyper(280,a,4839,a,b,6187,a),flip(a)]. 6189 T(T(x,y) * z,x \ 1) = K(x,y) * T(x * z,z). [hyper(4030,a,6188,a)]. 6190 K(x,T(x,y) * z) * ((T(x,y) * z) * u) = (K(x,y) * T(x * z,z)) * u. [para(6189(a,1),4065(a,1,1)),flip(a)]. 6191 (T(x,y) * z) * (K(x,T(x,y) * z) * u) = (K(x,y) * T(x * z,z)) * u. [para(6189(a,1),4077(a,1,1)),flip(a)]. 6192 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,L(T(y,u),u,x)). [para(223(a,1),5207(a,1,1,2))]. 6193 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,T(L(y,u,x),u)). [para(20(a,1),6192(a,2,2))]. 6194 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(3631(a,2),5493(a,1,1))]. 6195 K(L(x,y,z),T(T(u,z * y),y)) = K((z * (x * y)) / (z * y),u). [hyper(4744,a,5506,a)]. 6196 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(280,a,5447,a(flip),b,5513,a),flip(a)]. 6197 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(58,a,4777,a(flip),b,6196,a),flip(a)]. 6199 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(58,a,3820,a(flip),b,6197,a)]. 6200 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [para(376(a,2),6197(a,1,2,1))]. 6201 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(6200(a,2),5554(a,1))]. 6202 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(4(a,1),6201(a,1,2,1,2))]. 6203 L(x,y,T(z,y)) * T(z * y,y) = T(T(z,y) * (y * x),y * z). [para(917(a,2),5626(a,1,2))]. 6204 T(T(x,y) * (y * z),y * x) \ (z * (T(x,y) * y)) = a(T(x,y),y,T(z,T(x,y) * y)). [para(5626(a,1),2054(a,1,1))]. 6205 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(5666,a,5481,a),flip(a)]. 6206 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(5561,a,6205,a),flip(a)]. 6207 K(x / (K(y,z) * u),y) = K(x / u,y). [para(3647(a,1),6206(a,1,1,2))]. 6208 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(3010,a,5820,a),flip(a)]. 6209 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(280,a,5281,a,b,6208,a),flip(a)]. 6210 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(6209(a,1),5318(a,1,1,1)),flip(a)]. 6211 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [para(3532(a,2),5990(a,1,1,2))]. 6212 a((x \ y) \ 1,y,(y \ 1) * (x \ y)) = x \ L(x,y \ 1,y). [para(241(a,1),6020(a,2,2))]. 6213 a((x \ y) \ 1,y,y \ 1) = x \ L(x,y \ 1,y). [hyper(58,a,4807,a(flip),b,6212,a)]. 6214 T(K(x,y) * L(y,z,u),x) != w | T(L(y,z,u) * K(x,y),x) = w. [para(6113(a,2),6112(a,1))]. 6215 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(263,a,6163,a)]. 6216 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(226,a,2809,a(flip),b,6215,a),flip(a)]. 6218 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(115,a,6216,a)]. 6219 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(112,a,6216,a(flip),b,1276,a)]. 6220 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(1456,a,6218,a),flip(a)]. 6221 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [hyper(280,a,1113,a,b,6218,a)]. 6222 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(112,a,6218,a,b,4956,a)]. 6223 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(111,a,6218,a,b,2884,a)]. 6224 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(70(a,1),6219(a,1,1,2))]. 6225 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(6219(a,2),207(a,2,1))]. 6226 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(3386(a,1),6222(a,1,2))]. 6227 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(111,a,6224,a,b,xx)]. 6229 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(759(a,2),6227(a,1,2,1))]. 6230 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3559(a,1),6223(a,1,1))]. 6231 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(652(a,1),6230(a,2,2))]. 6232 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(4(a,1),6220(a,1,2,1)),flip(a)]. 6233 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(58,a,1759,a(flip),b,6232,a),flip(a)]. 6234 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(6232(a,2),3046(a,1))]. 6235 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(346(a,2),6233(a,1,2))]. 6236 K(L(x,y,z),T(T(u,y),z * y)) = K((z * (x * y)) / (z * y),u). [para(18(a,1),6195(a,1,2))]. 6237 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(6234,a,5118,a)]. 6238 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(6237(a,1),4512(a,2,1))]. 6239 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(280,a,5120,a(flip),b,6238,a),flip(a)]. 6240 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(4134(a,1),6239(a,1,1)),flip(a)]. 6241 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(378(a,1),6240(a,1,1,2)),flip(a)]. 6242 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(3353(a,1),3187(a,2,1,1))]. 6243 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(973(a,1),3189(a,1,2,1,2)),flip(a)]. 6244 L(K(x,y),y \ 1,z) = K(x,y). [hyper(3218,a,4584,a)]. 6245 K(x \ 1,y) != z | K(L(x,y \ 1,u) \ 1,y) = z. [para(6244(a,1),4770(a,1))]. 6246 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(6245,a,6045,a)]. 6247 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [para(420(a,1),3231(a,1,2))]. 6248 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(1188,a,3354,a)]. 6249 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(101(a,1),6248(a,2,2))]. 6250 K(x,(L(y,z,u) * (y \ w)) \ w) = K(x,(L(y,z,u) * w) \ (y * w)). [hyper(3578,a,3600,a)]. 6251 (x * y) \ (((x \ 1) \ y) * x) = L(L(x,x \ 1,y),y,x). [para(378(a,1),3879(a,1,1,1)),flip(a)]. 6252 (x * y) \ (((x \ 1) \ y) * x) = L(x,x \ 1,y). [hyper(280,a,855,a(flip),b,6251,a),flip(a)]. 6254 (x * y) \ (x * (y / (x \ 1))) = L(x,x \ 1,y). [para(3546(a,1),6252(a,1,2))]. 6255 T(x * y,x * (y / (x \ 1))) \ (x * (y / (x \ 1))) = T(L(x,x \ 1,y),x * (y / (x \ 1))). [para(6254(a,1),432(a,1,1)),flip(a)]. 6256 ((((x \ 1) \ 1) / y) \ 1) * x = ((y \ x) * (x \ 1)) \ 1. [para(378(a,1),3881(a,1,1,1,2)),flip(a)]. 6257 ((((x \ 1) \ 1) / y) \ 1) * x = x * ((y \ x) \ 1). [hyper(280,a,298,a(flip),b,6256,a),flip(a)]. 6258 ((x / y) \ 1) * x = x * ((y \ x) \ 1). [para(378(a,1),6257(a,1,1,1,1))]. 6259 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(4028(a,1),4034(a,1,2,2)),flip(a)]. 6260 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(280,a,2869,a(flip),b,6259,a),flip(a)]. 6263 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5866,a,4432,a),flip(a)]. 6264 x * K(L(K(y,z),u,w),x) != v5 | T(x,L(K(y,z),u,w)) = v5. [para(6263(a,1),3062(a,1))]. 6266 (x * y) \ ((x * (y * (z / y))) / (z / y)) = ((x * y) * T(z / y,y)) \ (x * z). [para(7(a,1),4569(a,1,2,2)),flip(a)]. 6268 ((x * y) * (y \ 1)) \ (x * ((y \ 1) * y)) = (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)). [para(382(a,1),4569(a,1,1,2))]. 6269 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(1139,a,4615,a)]. 6270 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(770(a,1),4867(a,1,1))]. 6271 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(780(a,1),4915(a,1,2))]. 6272 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(96(a,1),6271(a,2,2))]. 6273 T(T(x,L(y,z,u)),y \ x) = K(y,x) * T(x,L(y,z,u)). [hyper(301,a,4921,a)]. 6274 T(x,L(y,z,u)) * (K(y,x) * w) != v5 * w | T(T(x,L(y,z,u)),y \ x) = v5. [para(4921(a,1),39(a,1))]. 6275 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(1021,a,4962,a),flip(a)]. 6276 T(K(x \ 1,y) * z,x) = K(x \ 1,y) * T(z,x). [hyper(30,a,6147,a(flip),b,6275,a(flip)),flip(a)]. 6277 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(378(a,1),6275(a,2,2,2))]. 6278 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(378(a,1),6277(a,1,1,2,2))]. 6279 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(30,a,6147,a(flip),b,6278,a(flip)),flip(a)]. 6280 T(K(x,y) * z,x \ 1) = T(x,y) * (z / x). [hyper(280,a,4021,a(flip),b,6279,a),flip(a)]. 6281 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(20(a,2),6279(a,2,2))]. 6282 T(K(x,y) * z,x \ (K(x,y) * z)) = T(x,y) * (z / x). [hyper(3557,a,6280,a)]. 6283 T(x * ((x \ y) * K(x,z)),x \ y) = T(x,z) * (y / x). [hyper(58,a,4828,a,b,6280,a)]. 6284 T(K(x,y) * z,K(x,y) * (x \ z)) = T(x,y) * (z / x). [para(4031(a,1),6282(a,1,2))]. 6285 T(x * K(y,z),y \ x) = T(y,z) * (x / y). [para(5015(a,1),6283(a,1,1))]. 6286 x * (y * T(y \ (x \ T(y,z)),u)) = T(x * K(z,y),u) \ (x * y). [hyper(1354,a,4988,a)]. 6287 ((x * y) * z) * K(x,T(y,u)) = (x * y) * (z * K(x,T(y,u))). [para(3181(a,1),5025(a,1,2,2)),flip(a)]. 6288 (x * y) * (z * K(x,T(y,z))) = T(x * y,y) * z. [hyper(58,a,3907,a(flip),b,6287,a),flip(a)]. 6289 T(x * y,y) * (x * z) = (x * y) * (T(x,y) * z). [para(3807(a,1),6288(a,1,2)),flip(a)]. 6290 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(2109,a,5038,a)]. 6291 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(58,a,2106,a(flip),b,6290,a)]. 6292 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,L(y,v6,v7) * z)). [para(2157(a,1),6290(a,1,1,2))]. 6293 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(58,a,5081,a(flip),b,6291,a),flip(a)]. 6294 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(5560,a,6293,a),flip(a)]. 6295 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(4223,a,6292,a)]. 6296 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(5(a,1),6295(a,1,2,2)),flip(a)]. 6297 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(4651(a,2),5143(a,2,2))]. 6298 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(4629(a,2),5145(a,2,2))]. 6299 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(5336(a,1),5313(a,1,1))]. 6300 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(6299(a,1),98(a,1,1,1)),flip(a)]. 6301 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(6299(a,1),4284(a,1,2))]. 6303 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(58,a,5618,a(flip),b,5624,a)]. 6304 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(280,a,3496,a(flip),b,6303,a),flip(a)]. 6306 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(280,a,1539,a(flip),b,6304,a),flip(a)]. 6307 ((x * y) * K(y * x,z)) \ u = (x * y) \ (K(z,y * x) * u). [para(5461(a,1),5732(a,1,2,1)),flip(a)]. 6308 ((x * y) * K(y * x,z)) \ u = K(y,x) * (T(y * x,z) \ u). [hyper(280,a,4391,a(flip),b,6307,a),flip(a)]. 6309 K(x,y) * (T(x * y,z) \ u) = T(y * x,T(z,x)) \ u. [para(5517(a,1),6308(a,1,1)),flip(a)]. 6310 T(x,T(y,z) * ((T(y,z) / u) * K(z,y))) = T(x,(y \ u) \ T(y,z)). [para(4934(a,1),5739(a,1,2,2))]. 6311 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(2876(a,1),5769(a,1,2)),flip(a)]. 6312 K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(2957(a,1),5852(a,1,1,2))]. 6313 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(70(a,1),5854(a,1,1,2)),flip(a)]. 6314 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(3526(a,1),6313(a,2,1))]. 6315 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(3443(a,1),6314(a,1,2))]. 6316 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(58,a,4348,a(flip),b,6315,a)]. 6317 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(376(a,2),6316(a,1,2,2,1))]. 6318 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(4324(a,1),5945(a,1,1)),flip(a)]. 6319 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(4(a,1),6008(a,1,2))]. 6320 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(58,a,6146,a(flip),b,6319,a)]. 6321 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(2738,a,6053,a),flip(a)]. 6322 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(280,a,4007,a(flip),b,6210,a),flip(a)]. 6323 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(5405,a,6322,a)]. 6324 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(4479(a,1),6247(a,1,1))]. 6325 K(x,(L(y,z,u) * w) \ (y * w)) = K(x,w \ (y * (L(y,z,u) \ w))). [para(370(a,1),6250(a,1,2)),flip(a)]. 6326 T(x,T(y * (T(y,z) / u),K(y,z))) = T(x,(y \ u) \ T(y,z)). [para(6095(a,1),6310(a,1,2))]. 6327 K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). [para(5718(a,1),6312(a,1,1))]. 6328 K(x,(y \ z) \ (y * (L(y,u,w) \ (y \ z)))) = K(x,(L(y,u,w) * (y \ z)) \ z). [para(5(a,1),6325(a,1,2,2)),flip(a)]. 6329 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(2844,a,2832,a)]. 6330 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(2832(a,1),1156(a,2,1)),flip(a)]. 6331 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(3063,a,6330,a)]. 6332 (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(6329(a,1),2269(a,1,1,2)),flip(a)]. 6333 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(2962(a,1),6331(a,1,2))]. 6334 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [para(2833(a,1),1156(a,2,1)),flip(a)]. 6335 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(2833(a,1),1446(a,1,1,1))]. 6336 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(3063,a,6334,a)]. 6337 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(58,a,6260,a(flip),b,6334,a)]. 6338 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(6334(a,1),2810(a,1,1))]. 6339 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(4133(a,1),6334(a,1,1,2))]. 6340 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(5607(a,1),6336(a,1,2))]. 6341 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(111,a,6340,a(flip),b,4078,a),flip(a)]. 6342 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(58,a,4230,a,b,6341,a)]. 6343 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [hyper(258,a,6338,a),flip(a)]. 6344 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(3164(a,1),3165(a,1,1,1))]. 6345 L(T(x,y),z,u) \ L(T(T(x,w \ x),y),z,u) = K(w,L(T(x,y),z,u)). [para(2838(a,2),3269(a,1,2,1,1))]. 6346 T(K(x,y) * ((y * x) / z),x * y) = (K(y,x) * z) \ (y * x). [hyper(3333,a,6150,a(flip)),flip(a)]. 6347 R(x * y,K(y,z),K(z,y) * u) = u / (K(y,z) * ((x * T(y,z)) \ u)). [para(4271(a,1),3393(a,1,3))]. 6348 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(3452(a,2),4707(a,1))]. 6350 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(280,a,3189,a(flip),b,3453,a),flip(a)]. 6351 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(58,a,6161,a(flip),b,6350,a),flip(a)]. 6352 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(3842,a,6351,a),flip(a)]. 6353 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(3311,a,6352,a),flip(a)]. 6354 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(17(a,2),6353(a,2,2))]. 6355 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(7(a,1),6354(a,1,1,1)),flip(a)]. 6356 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(280,a,4192,a,b,6355,a),flip(a)]. 6357 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(67(a,1),6356(a,1,1,1)),flip(a)]. 6358 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(280,a,6016,a(flip),b,6357,a),flip(a)]. 6359 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(5223,a,6358,a),flip(a)]. 6360 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(5554,a,6359,a),flip(a)]. 6361 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(111,a,6360,a(flip),b,2974,a(flip))]. 6362 T((x * y) * z,R(T(x,y * z),y,z)) != u | (y * z) * R(x,y,z) = u. [para(3563(a,2),3835(a,1))]. 6363 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,z \ (y * u)). [para(569(a,1),3902(a,2,2))]. 6364 L(T((x \ 1) \ ((x * y) \ 1),z),y,z) = x * ((z \ (y \ z)) / x). [para(512(a,1),3967(a,1,1,1,2))]. 6365 L(T(((x * y) / x) \ 1,z),y,z) = x * ((z \ (y \ z)) / x). [para(537(a,1),6364(a,1,1,1))]. 6366 L(T((x * (y / x)) \ 1,z),y,z) = x * ((z \ (y \ z)) / x). [para(947(a,1),6365(a,1,1,1,1))]. 6367 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(4046,a,3371,a),flip(a)]. 6368 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(6367(a,1),552(a,1,2))]. 6369 (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(4200(a,1),4072(a,1,1,2))]. 6370 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(1202(a,2),4143(a,1,2,2,1))]. 6371 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(4181(a,1),4216(a,1,2))]. 6372 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(58,a,2135,a(flip),b,4249,a)]. 6373 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(376(a,1),6372(a,2,1,2,1))]. 6374 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(58,a,5103,a(flip),b,6373,a),flip(a)]. 6375 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(3019,a,6374,a),flip(a)]. 6377 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(6375(a,1),2116(a,1,2,1)),flip(a)]. 6378 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(58,a,4108,a(flip),b,4414,a),flip(a)]. 6380 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(2882(a,2),6378(a,1,1))]. 6381 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(175,a,6380,a(flip))]. 6382 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(2955(a,1),6381(a,2,2))]. 6383 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(103(a,1),6382(a,1,1,1))]. 6384 T(x \ 1,y) \ L(z,x,x \ 1) = T(K(x,y) * (z * x),x \ 1). [para(3566(a,1),4498(a,1,1,1)),flip(a)]. 6385 T(x \ 1,y) \ L(z,x,x \ 1) = T(T(T(x,y) * z,x),x \ 1). [para(4071(a,2),6384(a,2,1))]. 6386 T(x \ 1,y) \ L(z,x,x \ 1) = T(x,y) * z. [hyper(280,a,3488,a(flip),b,6385,a),flip(a)]. 6388 T(x \ 1,y) * (T(x,y) * z) != u | L(z,x,x \ 1) = u. [para(6386(a,1),239(a,1,2)),flip(b)]. 6389 L(x,T(y,z),T(y \ 1,z)) = L(x,y,y \ 1). [hyper(6388,a,6003,a),flip(a)]. 6390 L(x,T(y,z),T(y \ 1,z)) != u | L(x,y,y \ 1) = u. [para(6003(a,1),6388(a,1))]. 6391 L(x,y \ z,T((z / y) \ 1,y)) = L(x,z / y,(z / y) \ 1). [para(103(a,1),6389(a,1,2))]. 6392 L(x,y \ (z \ y),T((y \ (y / z)) \ 1,y)) = L(x,y \ (y / z),(y \ (y / z)) \ 1). [para(989(a,1),6389(a,1,2))]. 6393 L(x,y / z,(y / z) \ 1) = L(x,z \ y,(z \ y) \ 1). [para(3614(a,1),6391(a,1,3)),flip(a)]. 6394 R(x,K(y \ 1,z),y) = ((x * u) * K(u \ 1,w)) / (K(u \ 1,w) * u). [para(3549(a,2),4586(a,2,2))]. 6395 T(x,L(x * (y \ z),x \ 1,y) \ 1) != u | T(x,z \ (y * (x \ 1))) = u. [para(4618(a,2),3751(a,1))]. 6396 T(K(x,y) * (x \ (y * z)),y / x) = L(z / (x / y),x / y,y). [hyper(5687,a,4708,a)]. 6397 x * (L(x / y,x,x \ 1) \ x) = (x * x) * ((x * (y \ x)) \ x). [para(60(a,1),4709(a,1,1,2)),flip(a)]. 6398 x * (L(x / y,x,x \ 1) \ x) = (x * x) * (x \ (x / (y \ x))). [para(304(a,1),6397(a,2,2))]. 6399 x * (L(x / y,x,x \ 1) \ x) = (x * x) * (x \ y). [para(67(a,1),6398(a,2,2,2))]. 6401 K(x,y / L(x,z,u)) * (L(x,w,v5) \ v6) = (L(x,w,v5) * K(y,x)) \ v6. [para(3573(a,1),4966(a,1,1))]. 6402 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(4459,a,5089,a),flip(a)]. 6403 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y * K(x,y),(x / (x / y)) * (z \ 1)). [para(3329(a,1),6402(a,1,1)),flip(a)]. 6404 T(K(x,T(y,L(z,u,w))) * L(z,u,w),z) = L(z,u,w) * K(x,T(y,z)). [hyper(280,a,3644,a,b,5494,a),flip(a)]. 6405 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(1895(a,2),5505(a,1,1))]. 6406 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(5447(a,1),5508(a,1,1,1,2))]. 6407 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(20(a,2),6406(a,2,2))]. 6408 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(435(a,1),6407(a,1,1,1,2,2))]. 6409 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). [hyper(280,a,5745,a(flip),b,5803,a),flip(a)]. 6410 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [hyper(280,a,3696,a(flip),b,5954,a),flip(a)]. 6411 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2511(a,1),6370(a,1,2))]. 6412 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(111,a,2903,a(flip),b,6411,a),flip(a)]. 6413 R((x * y) / x,z,y) \ y = y \ L(T(y,x),u,y). [hyper(280,a,4838,a(flip),b,6412,a),flip(a)]. 6415 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,w,y),y)) = ((R((z * y) / z,w,y) \ y) \ y) \ x. [para(6413(a,1),1541(a,1,1,2,1))]. 6416 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [hyper(125,a,6394,a)]. 6417 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(226,a,6416,a,b,5,a),flip(a)]. 6419 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(280,a,2133,a(flip),b,6417,a),flip(a)]. 6421 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(1475(a,1),6419(a,1,2)),flip(a)]. 6422 (L(x,y,z) * K(u,x)) \ w = K(x,u) * (L(x,y,z) \ w). [para(4599(a,1),6401(a,1,1)),flip(a)]. 6423 K(T(x,y),y) * (L(T(x,y),z,u) \ w) = (L(T(x,y),z,u) * K(y,x)) \ w. [para(2953(a,1),6422(a,1,1,2)),flip(a)]. 6424 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(4306(a,1),6405(a,2,2))]. 6425 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(6405(a,1),5280(a,2,2))]. 6426 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(58,a,6407,a(flip),b,6408,a),flip(a)]. 6427 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(111,a,2988,a(flip),b,4296,a),flip(a)]. 6428 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(3(a,1),3327(a,2,1,2,2))]. 6429 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(3719(a,1),6428(a,1,2))]. 6430 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(4788,a,6429,a),flip(a)]. 6431 T(x,(y \ z) * (z \ y)) = x. [hyper(49,a,6430,a)]. 6432 T(x,y * ((z * y) \ z)) = x. [para(4(a,1),6431(a,1,2,1))]. 6433 T(x,y * (z \ (z / y))) = x. [para(70(a,1),6431(a,1,2,1))]. 6434 T(x,(y / z) * (z / y)) = x. [para(4643(a,2),6431(a,1,2))]. 6435 K(x,y * ((z * y) \ z)) = 1. [hyper(50,a,6432,a)]. 6436 K(x * (y \ (y / x)),z) = 1. [hyper(3612,a,6433,a)]. 6437 T(x,(y / (z * y)) * z) = x. [para(6(a,1),6434(a,1,2,2))]. 6438 K(x,y * L(y \ 1,y,z)) = 1. [para(207(a,2),6435(a,1,2,2))]. 6439 K(x * (y \ (y / x)),z) * u = u. [para(6436(a,2),2(a,1,1))]. 6440 T(K(x,y),z / (y * z)) = K(x,y). [hyper(5650,a,6437,a)]. 6441 T(K(x,y),(z * y) \ z) = K(x,y). [para(921(a,1),6440(a,1,2))]. 6442 K(x / ((y * z) \ y),z) = K(((y * z) \ y) \ x,z). [hyper(5552,a,6441,a)]. 6443 K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). [hyper(58,a,6320,a,b,6442,a)]. 6444 K(x,y) * ((K(x,T(y,z)) * u) \ K(x,y)) = (K(x,y) / u) * K(x,K(y,z)). [para(5281(a,2),3656(a,2,2))]. 6445 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(5501(a,1),3657(a,1,2,1,2))]. 6446 T(T(x,y \ 1),L(T(y,z),u,w)) = K(y,x) * T(x,L(T(y,z),u,w)). [para(3566(a,1),3934(a,1,1)),flip(a)]. 6447 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4014(a,1),4061(a,1,2)),flip(a)]. 6448 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(280,a,13,a,b,6447,a),flip(a)]. 6449 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(6447(a,2),562(a,1))]. 6450 L(x,y,T(z,x)) = L(x,y,z). [hyper(58,a,4203,a(flip),b,6448,a),flip(a)]. 6451 ((x \ 1) * (x * y)) \ (y * (x \ 1)) = L(x \ 1,x,y). [hyper(58,a,3548,a,b,6450,a)]. 6452 L(x,y,x / z) = L(x,y,z \ x). [para(375(a,1),6450(a,1,3)),flip(a)]. 6453 L(x,y,z * x) = L(x,y,x * z). [para(897(a,1),6450(a,1,3))]. 6454 L(x * y,z,(x * y) / x) = L(x * y,z,y). [para(4(a,1),6452(a,2,3))]. 6455 L(x * y,z,x * (y / x)) = L(x * y,z,y). [para(947(a,1),6454(a,1,3))]. 6456 L(x,y,y \ 1) \ (x * (y \ 1)) = L(y \ 1,y,x). [para(671(a,1),6451(a,1,1))]. 6457 x / L(y \ 1,y,x / (y \ 1)) = L(x / (y \ 1),y,y \ 1). [para(6456(a,1),284(a,1,2))]. 6458 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(4197,a,4211,a)]. 6459 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(5433(a,1),6458(a,1,3))]. 6460 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(4995,a,6459,a)]. 6461 L(x \ 1,x,y * (z * x)) = L(x \ 1,x,y * (x * z)). [para(3145(a,1),6459(a,1,3)),flip(a)]. 6463 L(T(x \ 1,y),T(x,z),u) = T(L(x \ 1,x,u),y). [para(6460(a,1),20(a,2,1))]. 6464 L(T(x \ 1,y),T(x,z),u) = L(T(x \ 1,y),x,u). [hyper(280,a,20,a,b,6463,a),flip(a)]. 6466 L(T(T(x,y) \ 1,z),T(T(x,u),y),w) = L(T(T(x,y) \ 1,z),T(x,y),w). [para(18(a,1),6464(a,1,2))]. 6467 L(T(T(x \ 1,y),z),T(x,u),w) = T(L(T(x \ 1,y),x,w),z). [para(6464(a,1),20(a,2,1))]. 6468 L(T(L(x,y,z) \ 1,u),L(T(x,w),y,z),v5) = L(T(L(x,y,z) \ 1,u),L(x,y,z),v5). [para(20(a,2),6464(a,1,2))]. 6469 L(T(T(x \ 1,y),z),T(x,u),w) = L(T(T(x \ 1,y),z),x,w). [hyper(280,a,20,a,b,6467,a),flip(a)]. 6470 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(378(a,1),4470(a,1,2,2,2))]. 6471 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(4(a,1),4574(a,1,1,2,1)),flip(a)]. 6472 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(4572(a,1),6471(a,1,2,1,2))]. 6473 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(2857(a,2),6472(a,1,2,1,2))]. 6474 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(29,a,4507,a,b,6473,a)]. 6475 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(6474(a,1),554(a,1,2,2))]. 6476 (x / y) * (T(y,y \ x) * z) = (x * (x / (x * y))) * (y * z). [para(5738(a,1),4763(a,1,2,1))]. 6477 (x * (x / (x * y))) * (y * z) = (x / y) * (T(y,x) * z). [para(423(a,1),6476(a,1,2,1)),flip(a)]. 6478 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(101(a,1),4935(a,1,2,2,2))]. 6479 ((x * y) * (K(x,T(z,y)) * T(K(T(z,y),x) * ((x * y) \ u),w))) \ u = K(w,(T(x,z) * y) \ u). [para(3682(a,1),4940(a,2,2,1))]. 6480 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(2813(a,1),4967(a,1,1,2))]. 6481 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(2872(a,1),6480(a,1,2,2))]. 6482 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(5184(a,1),6481(a,1,1,2)),flip(a)]. 6483 L(x,T(y,x),z) = L(x,y,z). [hyper(280,a,13,a,b,6482,a)]. 6485 L(x,y / x,z) = L(x,x \ y,z). [para(103(a,1),6483(a,1,2)),flip(a)]. 6486 L(x,x \ (K(y,z) * u),K(z,y)) = (K(z,y) * ((K(y,z) * u) / x)) \ u. [hyper(58,a,4289,a(flip),b,6485,a),flip(a)]. 6487 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(6485(a,1),5203(a,1,1))]. 6488 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(3309,a,5119,a)]. 6490 T((x * K(y,z)) \ (x * u),K(y,z)) = L(u * K(z,y),K(y,z),x). [hyper(5577,a,1650,a(flip)),flip(a)]. 6491 T((x * K(y,z)) \ (x * u),K(y,z)) != w | L(u * K(z,y),K(y,z),x) = w. [para(1650(a,2),5577(a,1))]. 6492 T(x * (y / (z / y)),K(y,y / z)) = K(z,y) * (x * ((y / z) * y)). [para(2944(a,1),5868(a,2,1))]. 6493 T(x * (y / (z / y)),K(y,y / z)) = K(z,y) * (x * (y * (z \ y))). [para(373(a,1),6492(a,2,2,2))]. 6494 T(x * (y * (y / z)),K(y,y / z)) = K(z,y) * (x * (y * (z \ y))). [para(1007(a,1),6493(a,1,1,2))]. 6495 T(x * (y * (y / z)),K(z,y)) = K(z,y) * (x * (y * (z \ y))). [hyper(58,a,4801,a(flip),b,6494,a)]. 6496 T(x * (y * (y / z)),K(y,z)) = K(z,y) * (x * (y * (z \ y))). [hyper(5376,a,6495,a)]. 6497 K(x,K(y,z)) * K(x,L(z \ 1,z,y) \ y) = K(x,y * z). [para(3050(a,1),5909(a,1,1,2))]. 6499 K(x,K(y,z)) * K(x,L(y \ 1,y,z) \ z) = K(x,z * y). [para(5298(a,1),6497(a,1,1))]. 6500 K(x,K(y,z)) * K(x,y * z) = K(x,z * y). [para(3986(a,1),6499(a,1,2,2))]. 6501 K(x,K(y,z)) * K(y,x * z) = K(y,z * x). [para(5277(a,1),6500(a,1,1))]. 6502 K(x,(y * (z * u)) / u) * K(x,K(u,y * z)) = K(x,u \ (y * (z * u))). [hyper(3660,a,5912,a)]. 6503 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(280,a,5980,a(flip),b,5984,a),flip(a)]. 6504 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(70(a,1),6503(a,1,2,1,1)),flip(a)]. 6505 K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). [hyper(58,a,3820,a(flip),b,6504,a)]. 6506 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(280,a,2959,a,b,6111,a),flip(a)]. 6507 K(L(x,y,z),T(u \ x,w)) = K(u,L(T(x,w),y,z)). [hyper(6154,a,6345,a)]. 6508 (K(x,y) * T(x * z,z)) * u = K(x,z) * ((T(x,y) * z) * u). [para(4109(a,1),6190(a,1,1)),flip(a)]. 6510 (K(x,y) * T(x * z,z)) * u = (T(x,y) * z) * (K(x,z) * u). [para(4109(a,1),6191(a,1,2,1)),flip(a)]. 6511 (T(x,y) * z) * (K(x,z) * u) = K(x,z) * ((T(x,y) * z) * u). [hyper(58,a,6508,a(flip),b,6510,a),flip(a)]. 6513 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(280,a,3189,a(flip),b,6243,a),flip(a)]. 6514 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(280,a,6351,a(flip),b,6513,a),flip(a)]. 6515 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(3842,a,6514,a)]. 6516 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(280,a,3295,a(flip),b,6515,a),flip(a)]. 6517 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(17(a,2),6516(a,2,2))]. 6518 K(T(x,y),y) * (L(T(x,y),z,u) \ w) = T(L(x,z,u) * K(y,x),y) \ w. [para(6102(a,2),6423(a,2,1))]. 6519 L(T(T(x \ 1,y),z),T(T(x,u),y),w) = L(T(T(x,y) \ 1,z),T(x,y),w). [para(3611(a,2),6466(a,1,1,1))]. 6520 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(5(a,1),6506(a,2,2))]. 6521 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(770(a,1),6520(a,1,2))]. 6522 T(L(x,y,z) * K(u,x),u) \ w = K(x,u) * (L(T(x,u),y,z) \ w). [para(2853(a,1),6518(a,1,1)),flip(a)]. 6523 L(T(T(x \ 1,y),z),T(T(x,u),y),w) = L(T(T(x \ 1,y),z),T(x,y),w). [para(3611(a,2),6519(a,2,1,1))]. 6524 L(T(T(x \ 1,y),z),T(T(x,y),u),w) = L(T(T(x \ 1,y),z),T(x,y),w). [para(18(a,1),6523(a,1,2))]. 6525 L(T(T(x \ 1,y),z),T(T(x,y),u),w) = L(T(T(x \ 1,y),z),x,w). [hyper(280,a,6469,a(flip),b,6524,a),flip(a)]. 6527 x * L(T(T(y \ 1,z),u),y,x) = x / T(T(y,z),u). [para(6525(a,1),4716(a,1,2))]. 6529 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(58,a,4218,a(flip),b,4232,a)]. 6530 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(258,a,6529,a),flip(a)]. 6531 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4181(a,1),6530(a,2,1))]. 6532 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [hyper(280,a,4964,a,b,6531,a),flip(a)]. 6533 K(x,R(y,z,x)) = K(x,y). [hyper(30,a,4235,a(flip),b,6531,a),flip(a)]. 6535 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(30,a,594,a,b,6532,a)]. 6536 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(58,a,3167,a(flip),b,4257,a),flip(a)]. 6537 (K(x * y,z) * ((x * y) / x)) * x != (x * y) * u | R(K(x * y,z),y,T(x,y)) = u. [para(4677(a,2),38(a,1))]. 6538 (x / y) \ ((y \ x) * L(y,x,z)) = T(L(y,x,z),(x / y) \ 1). [para(897(a,1),5201(a,1,2))]. 6539 T(L(x,y,z),(y / x) \ 1) = K(y,x) * L(x,y,z). [hyper(58,a,4622,a(flip),b,6538,a),flip(a)]. 6540 T(L(x,y,z),x / y) = K(y,x) * L(x,y,z). [hyper(5687,a,6539,a)]. 6541 L(T(x,x / y),y,z) = K(y,x) * L(x,y,z). [hyper(58,a,20,a,b,6540,a)]. 6542 L(T(x,y \ x),y,z) = K(y,x) * L(x,y,z). [para(775(a,1),6541(a,1,1))]. 6543 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(58,a,3167,a(flip),b,5221,a),flip(a)]. 6544 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) != u | K(x,L(y,z,x \ 1)) = u. [para(6069(a,1),5569(a,1))]. 6545 T((x * y) \ T(x * y,z),x) = R(K((y \ 1) \ x,z),x,y). [para(4573(a,1),6072(a,1,1,2))]. 6546 R(K((x \ 1) \ y,z),y,x) = T(K(y * x,z),y). [para(2890(a,2),6545(a,1,1)),flip(a)]. 6547 R(K(x \ y,z),y,x \ 1) = T(K(y * (x \ 1),z),y). [para(378(a,1),6546(a,1,1,1,1))]. 6548 R(K(x \ L(y,z,u),y),L(y,z,u),x \ 1) != w | K(L(y,z,u) * (x \ 1),y) = w. [para(6547(a,2),5549(a,1))]. 6549 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(280,a,3171,a(flip),b,6124,a),flip(a)]. 6550 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(4268(a,1),6549(a,1,1)),flip(a)]. 6551 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(2897(a,1),6550(a,1,1,1))]. 6552 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [para(6551(a,1),2882(a,2,2)),flip(a)]. 6553 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(3440,a,6552,a),flip(a)]. 6554 T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). [para(6553(a,2),4336(a,1,1))]. 6555 K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. [para(5(a,1),6554(a,1,1,1)),flip(a)]. 6556 K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). [hyper(280,a,2966,a,b,6555,a),flip(a)]. 6557 K(R(x,y,z),K(u,x) * w) = K(R(x,y,z),w). [para(4271(a,1),6556(a,1,2))]. 6558 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(3774(a,1),6557(a,1,2))]. 6559 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(2897(a,1),6558(a,1,2,2))]. 6560 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(280,a,4068,a(flip),b,6125,a),flip(a)]. 6561 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(4802(a,1),6249(a,1,1))]. 6562 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(6561(a,1),3237(a,1,1,1)),flip(a)]. 6564 a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). [hyper(280,a,9,a,b,6272,a)]. 6565 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(280,a,141,a(flip),b,6300,a),flip(a)]. 6566 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(280,a,2887,a,b,6565,a),flip(a)]. 6568 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(280,a,5277,a,b,6566,a),flip(a)]. 6569 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(4(a,1),6335(a,2,1,1))]. 6570 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(5681,a,6339,a)]. 6572 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(58,a,6334,a(flip),b,6570,a),flip(a)]. 6573 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(969(a,1),6572(a,1,2,2))]. 6574 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) != w | T(K(x,y),z * K(x,u)) = w. [para(6562(a,2),5651(a,1))]. 6575 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [hyper(6574,a,5019,a)]. 6576 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(3372(a,1),6575(a,1,2))]. 6577 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [para(3647(a,1),6575(a,1,2))]. 6578 T(K(x,y),K(x,z) * u) = L(T(K(x,y),u),w,K(x,v5)). [hyper(280,a,5019,a,b,6577,a),flip(a)]. 6579 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(2896(a,1),6577(a,1,2,1))]. 6580 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(280,a,5790,a(flip),b,6576,a),flip(a)]. 6581 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(6580(a,1),3632(a,1,2)),flip(a)]. 6582 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(280,a,3417,a(flip),b,6581,a),flip(a)]. 6583 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [para(6582(a,1),101(a,1,2))]. 6584 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),w),v5,v6)) = z * L(T(K(x,u),K(x,v7) * w),v5,v6). [para(6578(a,2),1126(a,1,2,1)),flip(a)]. 6585 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(4411,a,6583,a),flip(a)]. 6586 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(4016(a,2),6585(a,1,2))]. 6587 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(5989,a,6586,a)]. 6588 x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). [para(4(a,1),3259(a,1,1,2,1)),flip(a)]. 6589 x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). [para(3449(a,1),6588(a,1,2,1,2))]. 6590 x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). [para(4572(a,1),6589(a,1,2,1,2))]. 6591 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). [hyper(29,a,4507,a,b,6590,a)]. 6592 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). [para(2857(a,2),6591(a,2,1,2))]. 6593 K(1 / x,x) \ (R(1 / y,y,K(1 / x,x)) * ((z * (1 / (1 / y))) / z)) = K(z,1 / (K(1 / x,x) \ R(1 / y,y,K(1 / x,x)))). [para(1473(a,1),3266(a,1,2,2,1,2))]. 6594 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(3419(a,1),3338(a,2,1))]. 6595 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(2800(a,1),6594(a,1,1,1))]. 6596 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(175,a,6595,a)]. 6597 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),u,x) = R(x,y,x) * K(z,R(x,y,x)). [para(960(a,1),6596(a,1,1,2))]. 6598 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(3624(a,1),3436(a,1,2,1))]. 6599 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(4764,a,6598,a)]. 6600 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(3631(a,2),6599(a,1,2,1))]. 6601 T((x / y) \ 1,y) * (z / ((x / y) \ 1)) = ((x / y) \ ((z \ 1) * (y \ x))) \ 1. [hyper(280,a,532,a(flip),b,3770,a),flip(a)]. 6602 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4183(a,1),4234(a,1,2))]. 6603 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(4362,a,6410,a)]. 6604 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(4324(a,1),6603(a,1,2)),flip(a)]. 6605 T(x,a(y,z,K(x,u))) = x. [para(6604(a,1),4032(a,1,2))]. 6606 a(x,y,K(z,u)) * K(w,z) != v5 | K(w,z) * a(x,y,K(z,u)) = v5. [para(6605(a,1),3648(a,1,2,2))]. 6607 K(x,y) * (T(z \ (z / x),y) * (u \ z)) = z * ((u * (x * z)) \ z). [para(3569(a,1),4368(a,1,1))]. 6609 K(x,y) * (z * ((u * (T(x,y) * z)) \ z)) = z * ((u * (x * z)) \ z). [para(4879(a,1),6607(a,1,2))]. 6610 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(225(a,1),4387(a,1,2)),flip(a)]. 6611 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(3418(a,1),6610(a,1,1,2,1))]. 6612 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [hyper(58,a,699,a(flip),b,4388,a),flip(a)]. 6613 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(3418(a,1),6612(a,1,1,2,1))]. 6614 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(280,a,4,a(flip),b,4593,a),flip(a)]. 6615 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(126,a,6614,a)]. 6616 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(6615(a,1),6470(a,1,2))]. 6617 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). [hyper(280,a,5438,a(flip),b,4613,a),flip(a)]. 6618 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). [hyper(280,a,3306,a(flip),b,6617,a),flip(a)]. 6620 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). [hyper(280,a,3079,a(flip),b,6618,a),flip(a)]. 6621 K(x,T((y \ 1) * z,y) \ z) = K(x,y). [para(4683(a,1),6620(a,1,2))]. 6622 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(113,a,4803,a),flip(a)]. 6623 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(794(a,1),6622(a,1,1)),flip(a)]. 6624 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(4565,a,6623,a)]. 6626 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(3647(a,1),4974(a,2,2))]. 6627 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(5213(a,1),6626(a,1,1)),flip(a)]. 6628 L(x,y,z) * (K(u,x) * (L(x,y,z) \ w)) = K(u,x) * w. [hyper(280,a,140,a(flip),b,6627,a),flip(a)]. 6630 (K(x,y) \ ((K(x,y) * z) / L(y,u,w))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(6628(a,1),1985(a,1,1,2,1))]. 6631 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(58,a,4397,a(flip),b,4980,a),flip(a)]. 6632 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),w,R(x,y,z)). [para(6631(a,1),2878(a,1,1,2))]. 6633 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),w,R(x,z,u)). [para(3169(a,1),6632(a,1,1))]. 6634 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),w,R(x,z,u)). [hyper(58,a,22,a,b,6633,a)]. 6635 R(L(x,y,x),z,u) = L(R(x,z,u),w,R(x,z,u)). [para(2878(a,1),6634(a,1,1))]. 6636 L(R(x,y,z),u,R(x,y,z)) = L(R(x,y,z),w,x). [hyper(58,a,872,a(flip),b,6635,a),flip(a)]. 6637 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),w,x) * u) \ (R(x,y,z) * u). [para(6636(a,1),2526(a,1,1,1)),flip(a)]. 6638 ((x \ 1) * K(y,z)) \ K(y,T(z,x)) = K(y,T(z,x)) \ ((x \ 1) \ K(y,z)). [para(3766(a,1),5725(a,1,1))]. 6639 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(280,a,5895,a(flip),b,5896,a),flip(a)]. 6641 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(67(a,1),6639(a,1,1,2,1,2,1))]. 6643 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(58,a,5925,a(flip),b,6641,a)]. 6644 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(58,a,5598,a(flip),b,6643,a)]. 6645 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [hyper(5981,a,5985,a),flip(a)]. 6646 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),w)) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),w)). [para(278(a,2),6645(a,1,2,1,2)),flip(a)]. 6647 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [para(5(a,1),6034(a,1,1)),flip(a)]. 6649 (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(6647(a,2),2325(a,2,1,2))]. 6650 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(280,a,5980,a(flip),b,6127,a),flip(a)]. 6651 K(x,T(y * T(z,x),u)) = K(x,T(y * z,u)). [para(928(a,2),6650(a,1,2,1,2))]. 6652 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(1729(a,1),6650(a,1,2,1)),flip(a)]. 6653 K(x,T(y * (z * K(u,T(x,w))),v5)) = K(x,T(y * z,v5)). [para(3638(a,1),6650(a,1,2,1,2,2))]. 6654 K(x,T(y * (x * K(z,T(x,y))),u)) = K(x,T((x * K(z,x)) * y,u)). [para(6186(a,1),6651(a,1,2,1))]. 6655 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4697(a,1),6652(a,1,2,1)),flip(a)]. 6656 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(3631(a,2),6655(a,2,2))]. 6657 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(6656(a,2),5809(a,1))]. 6658 K(x,T((x * K(y,x)) * z,u)) = K(x,T(z * x,u)). [hyper(58,a,6653,a(flip),b,6654,a),flip(a)]. 6660 K(x,T((y / (y / x)) * z,u)) = K(x,T(z * x,u)). [para(2806(a,2),6658(a,1,2,1,1))]. 6661 K(x,T((y / (y / x)) * (z \ 1),u)) = K(x,T(z \ x,u)). [hyper(280,a,5971,a(flip),b,6660,a),flip(a)]. 6662 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(5437(a,1),6139(a,1,2,2,1))]. 6664 (x * y) \ ((x * (y * (z / y))) / (z / y)) = ((x * y) * (y \ z)) \ (x * z). [para(103(a,1),6266(a,2,1,2))]. 6665 ((x * y) * (y \ z)) \ (x * z) = (x * y) \ ((x * z) / (y \ z)). [para(5228(a,1),6664(a,1,2)),flip(a)]. 6666 K(x,(y \ z) \ (y * (L(y,u,w) \ (y \ z)))) = K(x,z \ (y * (L(y,u,w) \ z))). [para(370(a,1),6328(a,2,2))]. 6667 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(58,a,1610,a(flip),b,6427,a)]. 6668 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(58,a,6371,a(flip),b,6602,a),flip(a)]. 6669 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(4173,a,6668,a),flip(a)]. 6670 L(x,y,y * (z / y)) = L(x,y,z). [para(2802(a,1),6669(a,1,3))]. 6671 L(x,y,T(z,y)) = L(x,y,z). [para(2805(a,1),6669(a,1,3)),flip(a)]. 6672 L(x,y,z / y) = L(x,y,y \ z). [para(2803(a,1),6669(a,1,3))]. 6673 L(x,y,T(z,y \ 1)) = L(x,y,z). [para(3519(a,2),6669(a,1,3))]. 6674 L(x,y,z * y) = L(x,y,y * z). [para(897(a,1),6671(a,1,3))]. 6675 L(x,y \ (z \ y),z * y) = L(x,y \ (z \ y),y * z). [para(1058(a,1),6671(a,1,3))]. 6676 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(2373(a,1),6671(a,1,3))]. 6677 L(x,y \ 1,z / y) = L(x,y \ 1,y \ z). [para(3508(a,1),6671(a,1,3))]. 6678 L(x,y,z / (y \ 1)) = L(x,y,(y \ 1) \ z). [para(3501(a,1),6671(a,1,3))]. 6679 T(T(x,y) * (y * z),y * x) = L(z,y,x) * T(x * y,y). [para(6671(a,1),6203(a,1,1)),flip(a)]. 6680 x \ ((x / y) * (y * z)) = L(z,y,y \ x). [hyper(58,a,89,a,b,6672,a)]. 6681 L(x \ 1,x,x \ y) = L(x \ 1,x,y). [hyper(58,a,644,a(flip),b,6672,a),flip(a)]. 6682 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(58,a,570,a(flip),b,6672,a),flip(a)]. 6683 x * L(y,z,z \ x) = (x / z) * (z * y). [para(6672(a,1),549(a,1,2))]. 6684 (x / y) * (y * T(z,x)) = L(z,y,y \ x) * x. [para(6672(a,1),1131(a,2,1))]. 6685 x / L(y,z,z \ x) = (x / (z * y)) * z. [para(6672(a,1),1385(a,1,2))]. 6686 (x / y) * L(y,z,z \ x) = ((x / z) * (z * y)) / y. [para(6672(a,1),2205(a,1,2))]. 6687 L(x \ 1,x,x * y) = L(x \ 1,x,y). [para(4(a,1),6681(a,1,3)),flip(a)]. 6688 L(T(x \ 1,y),x,x \ z) = T(L(x \ 1,x,z),y). [para(6681(a,1),20(a,2,1))]. 6689 L(x \ 1,x,y) * (x \ y) = x \ (x \ y). [para(6681(a,1),1063(a,1,1))]. 6690 L((x \ 1) \ 1,x \ 1,(y * x) \ 1) = L((x \ 1) \ 1,x \ 1,y \ 1). [para(512(a,1),6687(a,1,3))]. 6691 x * L(y,z,z \ x) != u | (x / z) * (z * y) = u. [para(6680(a,1),239(a,1,2)),flip(b)]. 6692 L(x,y,y \ z) != u | L(x,y,z / y) = u. [para(6680(a,1),1133(a,1))]. 6693 (x * y) \ (((x * y) / x) * z) = L(x \ z,x,y). [para(4(a,1),6682(a,1,3)),flip(a)]. 6694 ((x * y) / x) * (x * z) = (x * y) * L(z,x,y). [para(4(a,1),6683(a,1,2,3)),flip(a)]. 6695 (x / y) * (y * z) != x * u | L(z,y,y \ x) = u. [para(6683(a,1),38(a,1))]. 6696 (x * y) * L(z,T(y,u),T(y,u) \ (x * y)) = (x * K(u,y)) * (T(y,u) * z). [para(4415(a,1),6683(a,2,1))]. 6697 L(x,y,y \ x) \ x = (x / (y * x)) * y. [hyper(485,a,6685,a)]. 6698 L(x,y,y \ x) \ x = (x \ (x / y)) * y. [para(983(a,1),6697(a,2,1))]. 6699 L(x,y,y \ x) \ x = y * (x \ (x / y)). [hyper(280,a,2283,a(flip),b,6698,a),flip(a)]. 6700 (x * (y \ (y / x))) \ 1 = y \ L(y,x,x \ y). [para(6699(a,1),1262(a,1,1))]. 6701 (x / y) \ ((y \ 1) \ (y \ x)) = L(y,y \ 1,y \ x). [hyper(58,a,3878,a,b,6677,a)]. 6702 L(x,x \ 1,x \ y) * (y / x) = (x \ 1) \ (y / x). [para(6677(a,1),1067(a,1,1))]. 6703 x / L(y \ 1,y,(y \ 1) \ x) = L(x / (y \ 1),y,y \ 1). [para(6678(a,1),6457(a,1,2))]. 6704 (x * y) * L(z,x,y) = y * (T(x,y) * z). [hyper(58,a,4237,a(flip),b,6694,a),flip(a)]. 6705 ((x * y) / x) * (x * z) != (x * y) * u | L(z,x,y) = u. [para(6694(a,2),38(a,1))]. 6706 L(x,T(y,z),z) = L(x,y,z). [hyper(1185,a,6704,a)]. 6707 x * (T(y,x) * T(z,y * x)) = L(z,y,x) * (y * x). [hyper(348,a,6704,a),flip(a)]. 6708 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [hyper(111,a,140,a(flip),b,6704,a),flip(a)]. 6709 (x * L(x \ 1,y,z)) * (x \ (y * z)) = z * (T(y,z) * ((y * z) \ (x \ (y * z)))). [hyper(58,a,2112,a,b,6704,a)]. 6710 ((x * y) / z) * L(z,x,y) = (y * (T(x,y) * z)) / z. [hyper(112,a,6704,a(flip),b,2196,a),flip(a)]. 6711 (x * y) \ (y * (T(x,y) * z)) != u | L(z,x,y) = u. [para(6704(a,1),265(a,1,2)),flip(b)]. 6712 L(T(L(x,y,z) \ u,w),L(x,y,z),y * z) = T((z * (T(y,z) * x)) \ ((y * z) * u),w). [para(6704(a,1),572(a,1,1,1)),flip(a)]. 6713 (x * y) * L(T(T(x,y) \ L(T(x,y),z,u),w),x,y) = y * (T(T(x,y) \ L(T(x,y),z,u),w) * T(x,y)). [para(746(a,2),6704(a,2,2))]. 6714 L(x,T(T(y,z),u),z) = L(x,T(y,u),z). [para(18(a,1),6706(a,1,2))]. 6715 L(x,L(T(y,z),u,w),z) = L(x,L(y,u,w),z). [para(20(a,2),6706(a,1,2))]. 6716 L(x,y / z,z) = L(x,z \ y,z). [para(103(a,1),6706(a,1,2)),flip(a)]. 6717 L(x,y * z,z) = L(x,z * y,z). [para(897(a,1),6706(a,1,2))]. 6718 L(x,y \ T(z,y),y) = L(x,y \ z,y). [para(930(a,1),6706(a,1,2))]. 6719 L(x,y \ (y / z),y * z) = L(x,y \ (z \ y),y * z). [para(1183(a,1),6706(a,1,2)),flip(a)]. 6720 L(x,y / z,z * (y \ z)) = L(x,z \ y,z * (y \ z)). [para(1204(a,1),6706(a,1,2)),flip(a)]. 6721 x * (y * L(x,x,y)) = y * (x * T(x,y)). [para(6706(a,1),1387(a,1,2,2))]. 6722 (x * y) * L(z,x,y) != u | y * (T(x,y) * z) = u. [para(6706(a,1),1177(a,1,2))]. 6723 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(6706(a,2),5078(a,1,1))]. 6724 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [hyper(280,a,6671,a,b,6716,a)]. 6725 L(x,T(T(y,z),u),z * K(w,y)) = L(x,T(y,u),z * K(w,y)). [para(4039(a,1),6714(a,1,2,1))]. 6726 L(T(T(x,y) \ z,u),x,y) = T((x * y) \ (y * z),u). [para(6708(a,1),20(a,2,1))]. 6727 x \ (y * (x * T(x,y))) = y * L(x,x,y). [hyper(115,a,6721,a)]. 6728 L(x \ (y * L(z,z,y)),x,z) = (z * x) \ (y * (z * T(z,y))). [para(6721(a,1),88(a,2,2))]. 6729 (x * (y * T(y,x))) * ((y * y) \ (x * (y * T(y,x)))) = (x * L(y,y,x)) * ((x * (y * T(y,x))) / y). [para(6727(a,1),723(a,1,1)),flip(a)]. 6730 L(L(T(x,y),z,u) \ T(w,y),L(x,z,u),y) = (y * L(T(x,y),z,u)) \ (w * y). [hyper(58,a,574,a(flip),b,6715,a),flip(a)]. 6731 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(6676(a,1),548(a,1,2)),flip(a)]. 6732 L(T(x \ 1,y),x,x \ z) = L(T(x \ 1,y),x,z). [hyper(280,a,20,a,b,6688,a),flip(a)]. 6733 (x * y) \ (y * z) != u | L(T(x,y) \ z,x,y) = u. [para(5(a,1),6711(a,1,2,2))]. 6734 (T(x,y) * z) \ (z * (T(T(x,z),y) * u)) != w | L(u,T(x,y),z) = w. [para(18(a,1),6711(a,1,2,2,1))]. 6735 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(218(a,1),6711(a,1))]. 6745 L(T(x \ 1,y),x,z / x) = L(T(x \ 1,y),x,z). [hyper(6692,a,6732,a)]. 6746 L(T(x \ 1,y),x,x * z) = L(T(x \ 1,y),x,z). [para(4(a,1),6732(a,1,3)),flip(a)]. 6747 (x / y) \ (y \ (x / y)) = L(T(y \ 1,x),y,x). [hyper(58,a,2229,a(flip),b,6745,a)]. 6748 (x / y) \ (y \ (x / y)) = x \ (y \ x). [hyper(280,a,1064,a(flip),b,6747,a),flip(a)]. 6749 ((x / L(y,z,z \ x)) * y) \ x = x \ (((x / z) * (z * y)) / y). [hyper(111,a,6686,a(flip),b,181,a),flip(a)]. 6750 (x / y) * L(y,K(z,u),K(u,z) * x) = ((x / K(z,u)) * (K(z,u) * y)) / y. [para(4271(a,1),6686(a,1,2,3))]. 6751 (x / y) * L(y,y \ 1,y \ x) = (y \ 1) \ (y \ x). [hyper(126,a,6701,a)]. 6753 (L(x,y,z) * (y * z)) \ ((y * z) * T(x,y * z)) = a(z,T(y,z),T(x,y * z)). [para(6707(a,1),216(a,1,1))]. 6754 L(x,y,z) = ((y * z) / x) \ ((z * (T(y,z) * x)) / x). [hyper(115,a,6710,a),flip(a)]. 6757 ((x * y) / z) * L(z,x,y) != u | (y * (T(x,y) * z)) / z = u. [para(6754(a,2),239(a,1,2)),flip(b)]. 6758 L(x,y \ ((y / z) \ y),y * (y / z)) = L(x,y \ z,(y / z) * y). [para(70(a,1),6675(a,1,2,2)),flip(a)]. 6759 L(T(x,y \ x),x \ (y \ x),x * y) = x \ ((x * y) * (x / y)). [hyper(58,a,2110,a(flip),b,6719,a),flip(a)]. 6760 L(L(x \ 1,x,y) \ z,y \ (x \ y),y * x) = y \ ((y * x) * z). [hyper(58,a,2058,a(flip),b,6719,a),flip(a)]. 6761 L(x,x \ (y \ x),x * y) = L(x,x \ (x / y),y). [hyper(58,a,1861,a(flip),b,6719,a),flip(a)]. 6762 L(x,x \ (y \ x),y * x) = L(x,x \ (x / y),y). [hyper(58,a,6675,a,b,6761,a)]. 6763 L((x / y) \ z,y \ x,y * (x \ y)) = T(y,x) \ ((y * (x \ y)) * z). [hyper(58,a,4903,a(flip),b,6720,a),flip(a)]. 6764 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(986(a,1),6731(a,1,2,1))]. 6765 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(986(a,1),6764(a,2,2,2))]. 6766 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(6765(a,1),1325(a,1,1))]. 6767 L(x / (y \ 1),y,y \ 1) != x / z | L(y \ 1,y,(y \ 1) \ x) = z. [para(6703(a,1),40(a,1))]. 6768 L((x \ y) * L(x,x,y),x,x) = (x * x) \ (y * (x * T(x,y))). [para(1250(a,1),6728(a,1,1))]. 6769 (((x / (y * z)) * y) * z) \ x = x \ (((x / y) * (y * z)) / z). [para(6685(a,1),6749(a,1,1,1))]. 6770 ((x / (y * z)) * y) \ (x / z) = x \ (((x / y) * (y * z)) / z). [hyper(58,a,2640,a(flip),b,6769,a)]. 6771 L(x,y \ ((y / z) \ y),y * (y / z)) = L(x,y \ z,y * (z \ y)). [para(373(a,1),6758(a,2,3))]. 6772 L(L((x / y) \ 1,x / y,x) \ z,x \ y,x * (x / y)) = x \ ((x * (x / y)) * z). [para(70(a,1),6760(a,1,2,2))]. 6773 L(x,y \ z,y * (y / z)) = L(x,y \ z,y * (z \ y)). [para(70(a,1),6771(a,1,2,2))]. 6774 L((x \ 1) \ 1,x \ 1,y \ 1) = L(x,x \ 1,(y * x) \ 1). [para(378(a,1),6690(a,1,1)),flip(a)]. 6775 L(x,x \ 1,(y * x) \ 1) = L(x,x \ 1,y \ 1). [para(378(a,1),6774(a,1,1)),flip(a)]. 6776 (x * y) * (y * L(y \ 1,(y \ 1) \ 1,(z * (y \ 1)) \ 1)) = (x * (y * L(y \ 1,(y \ 1) \ 1,z \ 1))) * y. [para(6775(a,1),2386(a,1,1,2,2)),flip(a)]. 6777 (x * y) * L(z,T(y,u),T(K(u,y) * x,y)) = (x * K(u,y)) * (T(y,u) * z). [para(4389(a,2),6696(a,1,2,3))]. 6778 (x / y) * L(y,K(z,u),K(u,z) * x) = ((x * K(u,z)) * (K(z,u) * y)) / y. [para(4323(a,1),6750(a,2,1,1))]. 6779 (x / y) * L(y,K(z,u),K(u,z) * x) = y / (K(u,z) * ((x * K(u,z)) \ y)). [hyper(280,a,4307,a(flip),b,6778,a),flip(a)]. 6780 x * L(y,K(z,u),K(u,z) * x) = (x * K(u,z)) * (K(z,u) * y). [hyper(2212,a,6778,a(flip))]. 6781 (x / y) * L(y,K(z,u),K(u,z) * x) = R(x,K(u,z),K(u,z) \ y). [hyper(280,a,828,a(flip),b,6779,a),flip(a)]. 6782 (x / y) * L(y,K(z,u),K(u,z) * x) = R(x,K(u,z),K(z,u) * y). [para(4271(a,1),6781(a,2,3))]. 6788 K(x,(y \ z) \ (y * (y \ (L(y,u,w) \ z)))) = K(x,z \ (y * (L(y,u,w) \ z))). [para(1943(a,1),6666(a,1,2,2,2))]. 6789 L(L(T(x,y),z,u) \ T(w,y),L(x,z,u),y) = (L(x,z,u) * y) \ (w * y). [para(224(a,1),6730(a,2,1))]. 6790 (L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),T(x,y * z)). [para(101(a,1),6753(a,1,2))]. 6791 K(x,(y \ z) \ (L(y,u,w) \ z)) = K(x,z \ (y * (L(y,u,w) \ z))). [para(5(a,1),6788(a,1,2,2))]. 6793 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(5097(a,1),4769(a,1,1))]. 6794 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(298(a,1),6793(a,1,1,1))]. 6795 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(2475(a,1),6794(a,1,1))]. 6796 K(x,y) / z != 1 / (u \ x) | u \ T(x,y) = z. [para(6795(a,1),40(a,1)),flip(a)]. 6797 1 / ((T(x,y) / z) \ x) = K(x,y) / z. [para(70(a,1),6795(a,1,2)),flip(a)]. 6801 L(T(x \ 1,y),x,z) * K(u,x) = K(y,x) * T(L(x \ 1,x,z),u). [para(3597(a,1),4779(a,1,2))]. 6802 L(T(x \ 1,y),x,z) * K(u,x) = K(y,x) * L(T(x \ 1,u),x,z). [para(20(a,2),6801(a,2,2))]. 6804 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(4965,a,6138,a)]. 6805 (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(3638(a,1),6182(a,2,1,2))]. 6806 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) != u | K(y,y * x) = u. [para(6211(a,2),3024(a,1))]. 6807 (x * L(x \ 1,y,z)) * (x \ (y * z)) = z * (y * ((z * y) \ (x \ (y * z)))). [para(4466(a,1),6709(a,2,2))]. 6808 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(5237(a,1),2928(a,1,2))]. 6810 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(96(a,1),3226(a,1,1)),flip(a)]. 6811 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(58,a,4162,a(flip),b,6810,a),flip(a)]. 6812 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(4060,a,6811,a)]. 6814 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(58,a,4923,a(flip),b,6812,a),flip(a)]. 6815 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(5(a,1),6812(a,1,2)),flip(a)]. 6816 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4070(a,1),6812(a,1,2)),flip(a)]. 6817 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(4296(a,1),6812(a,1,2))]. 6818 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(6814(a,1),2888(a,2,1)),flip(a)]. 6819 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(6814(a,1),3420(a,1,1,1)),flip(a)]. 6820 K(x,y) * ((y * R(x,z,R(x,u,w))) * v5) = (R(x,z,R(x,u,w)) * y) * v5. [para(6814(a,1),4662(a,1,1))]. 6821 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6815(a,2),96(a,1,1))]. 6822 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(94(a,1),6815(a,1,1))]. 6823 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(6815(a,1),4093(a,1,2,1))]. 6824 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6815(a,1),4317(a,1,1,2)),flip(a)]. 6825 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(6815(a,1),6550(a,1,1,1))]. 6826 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(2897(a,1),6823(a,1,2,1,1))]. 6827 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(96(a,1),6826(a,1,2))]. 6828 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(70(a,1),6822(a,1,1,2,1)),flip(a)]. 6829 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(280,a,3666,a(flip),b,6828,a),flip(a)]. 6830 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(7(a,1),6828(a,2,1,1))]. 6831 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(7(a,1),6828(a,2,1,2))]. 6832 K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). [para(5467(a,1),6828(a,1,1)),flip(a)]. 6833 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(5031(a,1),6821(a,1,1,1)),flip(a)]. 6834 L(K(x,y),z,K(y,u)) = K(x,y). [hyper(2109,a,6833,a)]. 6835 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(6833(a,1),1602(a,1,1,2))]. 6836 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(6834(a,1),558(a,1,2,1))]. 6837 L(K(x,y),z,K(u,y)) = K(x,y). [para(2896(a,1),6834(a,1,3))]. 6838 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(6049,a,6837,a)]. 6839 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(6837(a,1),86(a,1,2))]. 6840 (K(x,y) * z) * K(u,y) != w | K(x,y) * (z * K(u,y)) = w. [para(6837(a,1),263(a,1,2))]. 6841 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(58,a,5142,a(flip),b,6838,a)]. 6842 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(6838(a,1),2999(a,2,1,1))]. 6844 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(2796(a,1),6841(a,1,1,2))]. 6845 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(2897(a,1),6841(a,1,1,2,1))]. 6846 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(3195(a,1),6841(a,1,1,2))]. 6847 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4276(a,1),6841(a,1,1,2))]. 6848 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(2920(a,1),6845(a,1,1,2)),flip(a)]. 6850 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(4006(a,2),6845(a,1,1,2))]. 6851 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(5437(a,1),6845(a,1,1,2,1))]. 6852 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(280,a,2999,a,b,6842,a),flip(a)]. 6853 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(88(a,1),6852(a,1,2))]. 6854 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(897(a,1),6846(a,1,1,2,2))]. 6855 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(215(a,1),6846(a,1,1)),flip(a)]. 6856 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(6850(a,1),4241(a,1,1,1,2)),flip(a)]. 6857 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(6844(a,1),4242(a,1,1,1,2))]. 6858 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(5665,a,6851,a),flip(a)]. 6859 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(2860(a,1),6851(a,1,1,2)),flip(a)]. 6861 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(5560,a,6858,a),flip(a)]. 6862 K((x * K(y,z)) / u,z) = K(x / u,z). [para(5479(a,1),6861(a,1,1,1)),flip(a)]. 6863 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(6861(a,1),5980(a,1,2,1,2,2)),flip(a)]. 6864 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(3372(a,1),6862(a,1,1,1))]. 6865 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(6864(a,1),4317(a,1,1,2)),flip(a)]. 6866 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(58,a,5154,a(flip),b,6853,a)]. 6868 T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). [para(4275(a,1),6866(a,1,2,2)),flip(a)]. 6869 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(103(a,1),6868(a,1,2,2,1)),flip(a)]. 6870 K(x \ (y * (x * z)),x) = K(y * z,x). [hyper(3995,a,6854,a),flip(a)]. 6871 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(555(a,1),6854(a,2,1))]. 6872 K(x * (y * z),y) = K(x * z,y). [hyper(4254,a,6870,a)]. 6873 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(63(a,1),6870(a,1,1,2)),flip(a)]. 6874 K(x * (y \ z),y) = K(x * z,y). [para(5(a,1),6872(a,1,1,2)),flip(a)]. 6875 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(280,a,2468,a(flip),b,6859,a),flip(a)]. 6876 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(2854(a,1),6830(a,1,1))]. 6877 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(6207(a,1),6830(a,1,1))]. 6878 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(280,a,22,a,b,6818,a),flip(a)]. 6879 K(x,(y * T(z,x)) / u) = K(x,(y * z) / u). [hyper(280,a,4317,a(flip),b,6865,a),flip(a)]. 6880 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(6865(a,2),4343(a,1))]. 6881 K(x,(y * x) / z) = K(x,(x * y) / z). [para(101(a,1),6879(a,1,2,1))]. 6882 K(x,(y * x) / L(y,z,u)) = K(x,(x / L(y,z,u)) * y). [para(2194(a,1),6881(a,2,2))]. 6885 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(111,a,6878,a(flip),b,4070,a),flip(a)]. 6886 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(5530(a,1),6829(a,1,1))]. 6887 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(6855(a,1),5254(a,1,1)),flip(a)]. 6888 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(6848(a,1),6876(a,1,1))]. 6889 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [hyper(58,a,6830,a(flip),b,6877,a),flip(a)]. 6890 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(6889(a,1),5980(a,1,2,1,2,2)),flip(a)]. 6891 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [hyper(58,a,6194,a(flip),b,6886,a),flip(a)]. 6892 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(4328,a,6891,a)]. 6893 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(58,a,4193,a(flip),b,6888,a),flip(a)]. 6894 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(5499,a,6893,a)]. 6896 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(6894(a,1),4317(a,1,1,2))]. 6897 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(6894(a,1),4410(a,1,1,2))]. 6898 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(4343,a,6896,a)]. 6899 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(6836(a,1),1871(a,2,2))]. 6900 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(280,a,5278,a(flip),b,6887,a),flip(a)]. 6901 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(5324,a,6900,a)]. 6902 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(58,a,4666,a(flip),b,6820,a),flip(a)]. 6903 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(280,a,4241,a(flip),b,6856,a),flip(a)]. 6904 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(1630(a,1),6903(a,1,2,2)),flip(a)]. 6905 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(280,a,5046,a(flip),b,6871,a),flip(a)]. 6907 K(x,T((K(x,y) * z) / u,w)) != v5 | K(x,T(z / u,w)) = v5. [para(6863(a,2),5981(a,1))]. 6908 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(6361(a,1),6897(a,1,1))]. 6909 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(4458,a,6908,a),flip(a)]. 6911 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(280,a,1094,a,b,3400,a)]. 6913 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4275(a,1),4372(a,2,2))]. 6914 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(6913(a,2),562(a,1))]. 6916 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(4167(a,1),6914(a,1))]. 6917 L(x,y,T(z,x)) != u | L(x,y,z) = u. [para(4199(a,1),6914(a,1))]. 6921 L(K(x,y),z,u) != w | L(L(K(x,y),z,u),y,v5) = w. [para(3123(a,1),6916(a,1))]. 6924 L(x,y / z,z) != u | L(x,z \ y,z) = u. [para(6724(a,1),6916(a,1))]. 6925 L(x,y,z * x) != u | L(x,y,x * z) = u. [para(897(a,1),6917(a,1,3))]. 6926 T(K(x,y) * (x \ (y * z)),y / x) != u | L(z / (x / y),y \ x,y) = u. [para(6396(a,2),6924(a,1))]. 6927 L(x,x \ (x / y),y) != z | L(x,x \ (y \ x),x * y) = z. [para(6762(a,1),6925(a,1))]. 6928 (x * T(T(y,z) * u,y)) / T(K(y,z) * u,y) = (x * (T(y,z) * u)) / (K(y,z) * u). [para(4026(a,2),4570(a,1,1,2))]. 6929 L(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y * L(x,z,u)) / x. [para(3489(a,1),4580(a,2,2))]. 6930 L(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * L(x,z,u). [hyper(280,a,2198,a(flip),b,6929,a),flip(a)]. 6931 L(T(x,y \ 1),z,u) * (y / x) = (y / x) * L(x,z,u). [para(3513(a,1),6930(a,1,2))]. 6932 L(x * (y / x),z,u) * (x / y) = (x / y) * L(y,z,u). [para(3515(a,1),6931(a,1,1,1))]. 6933 L(x * (y / x),z,u) \ (x * y) = x * (((x / y) * L(y,z,u)) \ x). [para(6932(a,1),2717(a,1,2,1)),flip(a)]. 6934 L(x * (y / x),z,u) \ (x * y) = (x / L(y,z,u)) * y. [hyper(280,a,181,a(flip),b,6933,a),flip(a)]. 6935 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(280,a,3061,a(flip),b,4656,a),flip(a)]. 6936 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(102(a,1),6935(a,1,1,1))]. 6937 a(x,y,x) = K(z * u,T(T(z,w),v5)) * K((z \ w) \ w,T(u,v5)). [para(6936(a,1),4767(a,2,1))]. 6938 a(x,y,x) = K(z * u,T(T(z,w),v5)) * K(z,T(T(u,v5),w)). [para(3664(a,1),6937(a,2,2))]. 6940 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(4766,a,6938,a)]. 6941 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(280,a,3631,a(flip),b,6940,a),flip(a)]. 6942 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(5843(a,2),6941(a,2,1)),flip(a)]. 6943 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(2857(a,2),6942(a,1,1,1))]. 6944 (L(x,y,z) * u) \ (L(x,y,z) * (x \ u)) = L(T(x \ 1,u),x,L(x,y,z) * u). [hyper(58,a,6464,a(flip),b,4715,a),flip(a)]. 6946 x \ (((y \ x) * (T(y,y \ x) * z)) / z) = (x * z) \ ((x / y) * (y * z)). [hyper(297,a,4832,a)]. 6948 (x * y) \ ((x / z) * (z * y)) = x \ (((x / z) * (z * y)) / y). [para(4645(a,1),6946(a,1,2,1)),flip(a)]. 6949 x \ (((x / K(y,z)) * (K(y,z) * (u * K(z,y)))) / (u * K(z,y))) = (x * (u * K(z,y))) \ ((x / K(y,z)) * T(u,K(y,z))). [para(5356(a,1),6948(a,1,2,2)),flip(a)]. 6950 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(5982(a,1),5730(a,1,1))]. 6951 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(58,a,5728,a(flip),b,6950,a),flip(a)]. 6952 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(5473(a,1),6951(a,1,1))]. 6953 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(2794(a,2),6952(a,1,2,1))]. 6954 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(3691(a,2),6953(a,2,1,2)),flip(a)]. 6955 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(4552,a,6954,a(flip)),flip(a)]. 6956 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(5755(a,1),6955(a,2,2))]. 6957 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(3641(a,1),6956(a,1,1,2,2))]. 6958 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(5974(a,1),6957(a,1,1))]. 6959 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(3403,a,6958,a),flip(a)]. 6960 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(58,a,3815,a,b,6959,a)]. 6961 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(226,a,3377,a,b,6960,a)]. 6962 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(35,a,5750,a,b,6961,a)]. 6963 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(5448(a,1),6961(a,1,1,2)),flip(a)]. 6964 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(6962(a,2),38(a,1))]. 6965 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(5758,a,6963,a),flip(a)]. 6966 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(280,a,4800,a(flip),b,6965,a),flip(a)]. 6967 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(6966(a,1),2808(a,1,1))]. 6968 T(T(x,K(y,z)),y / z) != u | T(x,z \ y) = u. [para(6966(a,1),3062(a,1,1))]. 6969 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(5365,a,6967,a)]. 6970 T(K(x,y) * z,y \ x) = T(z * K(x,y),x / y). [para(897(a,1),6967(a,1,1)),flip(a)]. 6971 T(T(x,K(T(y * z,u),y)),T(y * z,u) / y) = T(x,(y \ 1) * T((y \ 1) \ z,u)). [para(1360(a,2),6967(a,2,2))]. 6972 T(T(x,K(y,z)),y \ z) = T(x,z / y). [para(3503(a,1),6967(a,1,1)),flip(a)]. 6973 T(T(x,K(y / z,T(y,u))),y / (T(y,u) * z)) = T(x,T(y,u) \ (y / z)). [para(4504(a,1),6967(a,1,2))]. 6974 T(T(x,K(y,z)),y \ z) != u | T(x,z / y) = u. [para(6969(a,1),5379(a,1))]. 6975 T(T(x,K(y * z,y * (z * u))),L(u,z,y)) = T(x,(y * (z * u)) / (y * z)). [para(13(a,2),6972(a,1,2))]. 6976 T(x \ (y * T(z,K(x,y))),x \ y) = x \ (y * T(z,y / x)). [para(6972(a,1),4973(a,2,2,2))]. 6977 T(x * (y / x),z / y) != u | T(x * (y / x),y \ z) = u. [para(2563(a,1),6968(a,1,1))]. 6978 T(T(x,K(y,z)),y / (T(y,u) * z)) != w | T(x,(T(y,u) * z) \ y) = w. [para(4109(a,1),6968(a,1,1,2))]. 6979 T(K(x,y) * z,y \ x) = K(x,y) * T(z,y \ x). [hyper(280,a,4883,a(flip),b,6970,a),flip(a)]. 6980 T(x * K(y,z),y / z) = z * T(x / z,y). [hyper(58,a,4844,a(flip),b,6970,a),flip(a)]. 6981 (x / y) \ (z * (y \ x)) = y * T(z / y,x). [hyper(58,a,4882,a(flip),b,6980,a)]. 6982 T((x / y) \ 1,y) * (z / ((x / y) \ 1)) = (y * T((z \ 1) / y,x)) \ 1. [para(6981(a,1),6601(a,2,1))]. 6983 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(6977,a,3495,a(flip)),flip(a)]. 6984 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(6983(a,1),3987(a,1,2))]. 6985 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(70(a,1),6984(a,1,2,2)),flip(a)]. 6986 T(x \ T(y * z,K(x,y)),x \ y) = x \ (y * T(z,y / x)). [para(6098(a,2),6976(a,1,1,2))]. 6987 T(T(x \ (y * z),K(x,y)),x \ y) = x \ (y * T(z,y / x)). [para(6088(a,2),6986(a,1,1))]. 6988 T(x \ (y * z),y / x) = x \ (y * T(z,y / x)). [hyper(6974,a,6987,a)]. 6989 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(6221(a,1),6985(a,2,2))]. 6990 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(58,a,6225,a(flip),b,6989,a),flip(a)]. 6991 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(378(a,1),6990(a,1,2,2,2)),flip(a)]. 6992 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(378(a,1),6991(a,1,1,1,2)),flip(a)]. 6993 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(175,a,6992,a)]. 6994 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(103(a,1),6993(a,1,1,1,1))]. 6995 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(103(a,1),6994(a,2,2))]. 6996 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(6383(a,1),6995(a,1,1))]. 6997 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(5166(a,2),6996(a,1,1,2))]. 6998 (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(6559(a,1),6997(a,1,1,2))]. 6999 ((x \ y) \ 1) * (z / ((y / x) \ 1)) = (x * T((z \ 1) / x,y)) \ 1. [para(3614(a,1),6982(a,1,1))]. 7000 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(185(a,1),5747(a,1,1))]. 7002 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(4323(a,1),7000(a,1,2))]. 7003 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = L(x,y,y \ 1) \ (x * ((y \ 1) * y)). [para(3949(a,1),6268(a,1,1)),flip(a)]. 7004 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = L(x,y,y \ 1) \ (x * 1). [para(380(a,1),7003(a,2,2,2))]. 7005 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = L(x,y,y \ 1) \ x. [para(3(a,1),7004(a,2,2))]. 7007 (x * y) \ ((x * (y * (y \ 1))) / (y \ 1)) = a(y \ 1,y,x). [hyper(280,a,834,a(flip),b,7005,a),flip(a)]. 7008 (x * y) \ (x / (y \ 1)) = a(y \ 1,y,x). [para(62(a,1),7007(a,1,2,1))]. 7009 x \ (y \ ((y \ 1) \ x)) = a(y \ 1,y,x). [hyper(58,a,4719,a(flip),b,7008,a)]. 7010 (x \ 1) \ (x \ y) = x \ ((x \ 1) \ y). [hyper(33,a,6167,a,b,7009,a)]. 7011 L(x \ 1,x,y) \ ((L(x \ 1,x,y) \ 1) \ y) = x * ((L(x \ 1,x,y) \ 1) \ y). [hyper(2761,a,7010,a),flip(a)]. 7012 (x / y) * L(y,y \ 1,x) = (y \ 1) \ (y \ x). [hyper(280,a,3914,a,b,7010,a)]. 7013 (x \ 1) * (x \ ((x \ 1) \ y)) = x \ y. [hyper(126,a,7010,a)]. 7014 (x / y) / (y \ 1) = y \ ((y \ 1) \ x). [hyper(58,a,3533,a,b,7010,a)]. 7015 (x \ y) \ (L(x \ 1,x,y) * ((x \ 1) \ (x \ y))) = y \ (x \ ((x \ 1) \ y)). [para(7010(a,1),2676(a,2,2))]. 7016 (x \ ((x \ 1) \ y)) \ y = a(y,x,x \ 1). [para(7010(a,1),4854(a,1,1))]. 7017 x \ ((x \ 1) * y) = (x \ 1) * (x \ y). [para(4(a,1),7013(a,1,2,2)),flip(a)]. 7019 (x \ ((x \ 1) \ y)) * T(x \ 1,T(x \ ((x \ 1) \ y),z)) = T(x \ y,K(x \ ((x \ 1) \ y),z)). [para(7013(a,1),4626(a,1,1)),flip(a)]. 7020 (x \ ((x \ 1) \ y)) * (x \ 1) = y / x. [hyper(124,a,7014,a)]. 7021 L(x,y,x \ 1) = x. [hyper(2181,a,7017,a)]. 7022 (x \ 1) * (x \ (y \ 1)) = x \ ((y * x) \ 1). [para(512(a,1),7017(a,1,2)),flip(a)]. 7023 L(x \ 1,y,x) = x \ 1. [hyper(58,a,2100,a(flip),b,7021,a)]. 7024 ((x \ 1) * y) * x = (x \ 1) * (y * x). [para(7021(a,1),86(a,1,2))]. 7025 (x * y) * (x \ 1) = x * (y * (x \ 1)). [para(7023(a,1),86(a,1,2))]. 7026 (x * y) / (x \ 1) = x * (y / (x \ 1)). [para(7023(a,1),617(a,1,2))]. 7027 (x * y) * L(x \ 1,z,u) = x * (y * L(x \ 1,z,u)). [para(7023(a,1),559(a,1,2,1))]. 7028 (L(x,y,z) \ ((L(x,y,z) \ 1) \ L(x,u,w))) * (L(x,y,z) \ 1) = L(x,y,z) \ L(x,u,w). [hyper(280,a,743,a(flip),b,7020,a),flip(a)]. 7029 (x \ ((x \ 1) \ y)) * T(x \ 1,z) = (y / x) * K(z,x). [para(7020(a,1),3591(a,1,1)),flip(a)]. 7030 (x \ 1) * ((y \ 1) * x) = ((y * x) \ 1) * x. [para(512(a,1),7024(a,1,1)),flip(a)]. 7031 L(x * ((x \ 1) * y),z,u) / ((x \ 1) * y) = ((x \ 1) * y) \ L((x \ 1) * (y * x),z,u). [para(7024(a,1),1088(a,2,2,1))]. 7032 (x \ (x / y)) * ((x \ 1) \ x) = x * ((((x \ 1) * y) * x) \ x). [para(7024(a,2),1003(a,2,2,1))]. 7033 (((x \ 1) * y) \ 1) * L((((x \ 1) * y) \ 1) \ x,z,u) = ((x \ 1) * y) \ L((x \ 1) * (y * x),z,u). [para(7024(a,1),1575(a,2,2,1))]. 7034 ((x / (x * y)) \ 1) * T(x / y,x \ 1) = (((x / (x * y)) \ 1) * x) * (x / (x * y)). [para(3556(a,2),7024(a,2,2)),flip(a)]. 7035 ((x / (x * y)) \ 1) * T(x / y,y \ 1) = (((x / (x * y)) \ 1) * x) * (x / (x * y)). [para(4759(a,2),7024(a,2,2)),flip(a)]. 7037 L(T(x,y \ 1),y,y \ 1) = y * (x * (y \ 1)). [hyper(58,a,1371,a,b,7025,a)]. 7038 (x * (y * (x \ 1))) * L((x * y) \ ((x * y) / (x \ 1)),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [para(7025(a,1),1566(a,1,1))]. 7039 (x * y) \ ((x * y) / (x \ 1)) = L(x,x \ 1,y). [para(7026(a,2),6254(a,1,2))]. 7040 x * a(x,y,y \ 1) = L(x,y \ 1,y). [para(7016(a,1),4849(a,1,2))]. 7041 L(x,y \ 1,y) = L(x,y,y \ 1). [hyper(3970,a,7040,a),flip(a)]. 7042 (x * (y \ 1)) * y = L(x,y,y \ 1). [hyper(4718,a,7041,a)]. 7043 L(x \ 1,y,y \ 1) = y * ((x * y) \ 1). [hyper(1794,a,7041,a),flip(a)]. 7044 L((x \ 1) \ y,x,x \ 1) = x * y. [hyper(578,a,7041,a),flip(a)]. 7045 x * ((x \ 1) * y) = L(y,x,x \ 1). [hyper(335,a,7041,a)]. 7046 L(T(x \ 1,y),z,z \ 1) = T(z * ((x * z) \ 1),y). [hyper(58,a,1152,a(flip),b,7041,a),flip(a)]. 7047 L(T((x \ 1) \ y,z),x,x \ 1) = T(x * y,z). [hyper(58,a,660,a(flip),b,7041,a),flip(a)]. 7048 L(x,y,y \ 1) \ x = a(y,y \ 1,x). [para(7041(a,1),1326(a,1,1))]. 7049 x \ L(L(y,x,x \ 1),z,u) = (x \ 1) * L(y,z,u). [para(7041(a,1),620(a,1,2,1))]. 7050 L(T(x,y \ 1),y,y \ 1) != z | y * (x * (y \ 1)) = z. [para(7041(a,1),837(a,1))]. 7051 L(x \ 1,y,y \ 1) != z | y * ((x * y) \ 1) = z. [para(7041(a,1),1794(a,1))]. 7052 x * (L(y,x,x \ 1) \ x) = (y * (x \ 1)) \ x. [para(7041(a,1),4712(a,1,2,1))]. 7053 a((x \ y) \ 1,y,y \ 1) = x \ L(x,y,y \ 1). [para(7041(a,1),6213(a,2,2))]. 7054 L(x / (y \ 1),y,y \ 1) = x * y. [hyper(286,a,7042,a),flip(a)]. 7055 (x * (y \ 1)) / y = (x / y) * (y \ 1). [hyper(112,a,3950,a(flip),b,7042,a)]. 7056 L(L((x \ 1) \ y,z,u),x,x \ 1) = L(x * y,z,u). [para(7044(a,1),25(a,1,1)),flip(a)]. 7057 ((x \ 1) \ y) \ L((x \ 1) \ y,x,x \ 1) = (((x \ 1) \ y) \ 1) * (x * y). [para(7044(a,1),1014(a,1,2)),flip(a)]. 7059 T(L(x / (y \ 1),y,y \ 1) \ x,y \ 1) = (x \ ((y \ 1) * (y * x))) \ (y \ 1). [para(7044(a,1),2429(a,1,1,2,2)),flip(a)]. 7060 x \ (y * (x \ 1)) = (x \ 1) * (y / x). [hyper(111,a,3950,a(flip),b,7045,a)]. 7061 L(x / (y \ 1),y,y \ 1) = x / L(y \ 1,y,x). [hyper(280,a,338,a,b,7054,a),flip(a)]. 7062 x * (y * ((x * y) \ 1)) = a(y,y \ 1,x). [hyper(58,a,4000,a,b,7048,a)]. 7063 a(x \ 1,x,y) = a(x,x \ 1,y). [hyper(58,a,834,a(flip),b,7048,a)]. 7064 x \ a(y,y \ 1,x) = y * ((x * y) \ 1). [hyper(111,a,7048,a(flip),b,4000,a)]. 7065 a(x \ 1,y,y \ 1) = a(y \ 1,y,x). [hyper(280,a,2146,a,b,7063,a)]. 7066 x \ (y \ ((y \ 1) \ x)) = a(y,y \ 1,x). [hyper(58,a,7009,a,b,7063,a)]. 7067 (x * y) \ (x / (y \ 1)) = a(y,y \ 1,x). [hyper(58,a,7008,a,b,7063,a)]. 7068 (x * (y \ 1)) \ (x / y) = a(y,y \ 1,x). [hyper(58,a,6171,a,b,7063,a)]. 7069 a(x,y,y \ 1) \ 1 = a(y,y \ 1,x). [hyper(58,a,3972,a,b,7063,a)]. 7070 a(x,x \ 1,y) \ 1 = a(y,x,x \ 1). [para(7063(a,1),3969(a,1,1))]. 7071 a(x,x \ 1,y) \ L(a(y,x,x \ 1),z,u) = a(y,x,x \ 1) * L(a(y,x,x \ 1),z,u). [para(7069(a,1),1073(a,1,1))]. 7072 a(x,x \ 1,y) != z | a(x \ 1,x,y) = z. [para(7069(a,1),3973(a,1))]. 7074 L(x \ 1,y \ z,(y \ z) \ 1) = (z / y) * ((x * (z / y)) \ 1). [hyper(58,a,6393,a(flip),b,7043,a)]. 7075 (x * (((y * x) \ 1) * T(((y * x) \ 1) \ z,u))) \ (x * z) = K(u,L(y \ 1,x,x \ 1) \ (x * z)). [para(7043(a,2),4476(a,2,2,1))]. 7077 x * a(y,y \ 1,x) = y \ ((y \ 1) \ x). [hyper(126,a,7066,a)]. 7078 (x * y) * a(y,y \ 1,x) = x / (y \ 1). [hyper(126,a,7067,a)]. 7079 (x / y) * (y * (x \ 1)) = a(y,y \ 1,x). [hyper(58,a,4994,a(flip),b,7068,a)]. 7080 a(x \ 1,y,y \ 1) != z | a(y \ 1,y,x) = z. [para(2146(a,2),7072(a,1))]. 7081 L(x,y,y \ 1) \ x != z | a(y \ 1,y,x) = z. [para(7048(a,2),7072(a,1))]. 7083 x \ (y \ ((y \ 1) \ x)) != z | a(y,y \ 1,x) = z. [para(7077(a,1),265(a,1,2)),flip(b)]. 7085 (x \ 1) * (x \ (x \ (y \ 1))) = x \ (x \ ((y * x) \ 1)). [para(7022(a,1),7017(a,1,2)),flip(a)]. 7086 (x \ 1) * (((y * K(x,z)) \ 1) * x) = ((y * T(x,z)) \ 1) * x. [para(3377(a,1),7030(a,2,1,1))]. 7087 L(x,x \ 1,x \ y) = L(x,x \ 1,y). [hyper(29,a,6751,a,b,7012,a)]. 7088 L(x,x \ 1,y) * (y / x) = (x \ 1) \ (y / x). [para(7087(a,1),6702(a,1,1))]. 7089 ((x / y) * (x \ 1)) \ x = (x * x) * (x \ y). [hyper(58,a,6399,a(flip),b,7052,a),flip(a)]. 7090 x \ ((x / (x \ 1)) * y) = (x * x) * (x \ y). [hyper(58,a,693,a(flip),b,7089,a)]. 7091 x \ ((x * (1 \ x)) * y) = (x * x) * (x \ y). [para(305(a,1),7090(a,1,2,1))]. 7092 x \ ((x * x) * y) = (x * x) * (x \ y). [para(60(a,1),7091(a,1,2,1,2))]. 7093 (x \ y) * ((y \ 1) * x) != z | a(x \ 1,x,x \ y) = z. [para(2077(a,1),7081(a,1))]. 7094 ((x \ 1) \ y) / x = (x \ 1) \ (y / x). [hyper(58,a,1281,a(flip),b,7088,a)]. 7095 a((x \ y) \ 1,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(7053(a,2),3960(a,1))]. 7096 L(x \ 1,x,(x \ 1) \ y) = L(x \ 1,x,y). [hyper(6767,a,7061,a)]. 7097 L(x \ 1,x,y) * (x \ ((x \ 1) \ y)) = x \ (x \ ((x \ 1) \ y)). [para(7096(a,1),6689(a,1,1))]. 7098 a(x \ 1,x,y) != z | a(x,x \ 1,y) = z. [para(7009(a,1),7083(a,1))]. 7099 a(x \ 1,y,y \ 1) != z | a(y,y \ 1,x) = z. [para(7065(a,2),7098(a,1))]. 7101 T(x \ 1,y) * (T(z * ((x * z) \ 1),y) \ 1) = L(T(x \ 1,y),z,z \ 1) \ T(x \ 1,y). [para(7046(a,1),1917(a,1,2,1))]. 7102 a(x,x \ 1,y \ x) = a(y,x,x \ 1). [hyper(7095,a,2146,a),flip(a)]. 7103 (T(x,y) * T(y,x)) * L(T(x,y) \ 1,z,u) = x * (y * L(T(x,y) \ 1,z,u)). [hyper(280,a,4373,a(flip),b,7027,a),flip(a)]. 7105 (x \ ((x \ 1) \ y)) * T(x \ 1,z) != u | y / T(x,z) = u. [para(7029(a,2),4453(a,1))]. 7106 L(x * (y / x),x,x \ 1) != z | x * (y * (x \ 1)) = z. [para(3515(a,1),7050(a,1,1))]. 7107 (x \ 1) * (x \ (x \ (x \ 1))) = x \ (x \ (x \ (x \ 1))). [para(1046(a,1),7085(a,2,2,2))]. 7108 a(x \ 1,x,x \ y) = a(x \ 1,x,y). [hyper(7093,a,6172,a)]. 7109 a(x,x \ 1,x \ y) = a(x \ 1,x,y). [hyper(7098,a,7108,a)]. 7110 a(x,x \ 1,x \ y) = a(x,x \ 1,y). [hyper(280,a,7063,a(flip),b,7109,a),flip(a)]. 7111 a(L(x \ 1,x,y),L(x \ 1,x,y) \ 1,x \ y) = a(L(x \ 1,x,y),L(x \ 1,x,y) \ 1,y). [para(1065(a,1),7110(a,1,3)),flip(a)]. 7112 (x \ (x / y)) * ((1 \ x) * x) = x * ((((x \ 1) * y) * x) \ x). [para(1068(a,1),7032(a,1,2))]. 7113 x * ((((x \ 1) * y) * x) \ x) = (x \ (x / y)) * (x * x). [para(60(a,1),7112(a,1,2,1)),flip(a)]. 7114 (x \ (x / y)) * (x * x) = ((x \ 1) * y) \ x. [hyper(482,a,7113,a),flip(a)]. 7115 (x \ (x / (y \ x))) * (x * x) = x \ (y * ((x \ 1) \ x)). [hyper(280,a,370,a(flip),b,7114,a),flip(a)]. 7116 T(((x \ 1) * y) \ x,(x * x) \ 1) != z | (x * x) * (x \ (x / y)) = z. [para(7114(a,1),3701(a,1,1))]. 7117 (x \ (x / (((x \ 1) \ 1) / y))) * (x * x) = ((y \ ((x \ 1) \ 1)) * (x \ 1)) \ x. [para(3547(a,2),7114(a,2,1))]. 7118 x \ (y * ((x \ 1) \ x)) = (x \ y) * (x * x). [para(67(a,1),7115(a,1,1,2)),flip(a)]. 7120 x \ (y * ((1 \ x) * x)) = (x \ y) * (x * x). [para(1068(a,1),7118(a,1,2,2))]. 7121 x \ (y * (x * x)) = (x \ y) * (x * x). [para(60(a,1),7120(a,1,2,2,1))]. 7122 x * ((x \ y) * (x * x)) = y * (x * x). [hyper(126,a,7121,a)]. 7123 (x * y) * (x * x) = x * (y * (x * x)). [para(4(a,1),7122(a,1,2,1)),flip(a)]. 7124 (x * (y * (x * x))) * K(x * x,z) != u | (x * y) * T(x * x,z) = u. [para(7123(a,1),3440(a,1,1))]. 7125 x * (T(y,x \ y) * (x * x)) = T(x * y,y) * (x * x). [para(4848(a,1),7123(a,1,1)),flip(a)]. 7126 x * (T(y,x \ y) * (x * x)) = (x * y) * (T(x,y) * x). [hyper(280,a,6289,a(flip),b,7125,a),flip(a)]. 7127 x * (T(y,x \ y) * (x * x)) = (x * y) * (x * T(x,y)). [para(228(a,1),7126(a,2,2))]. 7128 x * (y * (K(x,y) * (x * x))) = (x * y) * (x * T(x,y)). [para(4075(a,1),7127(a,1,2))]. 7129 (x * y) * (x * T(x,y)) = x * (y * (T(x,y) * x)). [para(4014(a,1),7128(a,1,2,2)),flip(a)]. 7130 (x * y) * (x * T(x,y)) = x * (y * (x * T(x,y))). [para(228(a,1),7129(a,2,2,2))]. 7131 (x / y) * ((z * (x / y)) \ 1) = (y \ x) * ((z * (y \ x)) \ 1). [hyper(7051,a,7074,a),flip(a)]. 7132 L(x \ 1,(x * y) \ x,((x * y) \ x) \ 1) = (x / (x * y)) * (T(x / y,x \ 1) \ 1). [para(3556(a,2),7074(a,2,2,1))]. 7133 ((x * y) \ x) * ((x * ((x * y) \ x)) \ 1) = (x / (x * y)) * (T(x / y,y \ 1) \ 1). [para(4759(a,2),7131(a,1,2,1)),flip(a)]. 7134 (x \ y) \ (L(x \ 1,x,y) * ((x \ 1) \ (x \ y))) = a(x,x \ 1,y). [hyper(280,a,7066,a(flip),b,7015,a),flip(a)]. 7135 (x \ y) \ (L(x \ 1,x,y) * (x \ ((x \ 1) \ y))) = a(x,x \ 1,y). [para(7010(a,1),7134(a,1,2,2))]. 7136 (x \ y) \ (x \ (x \ ((x \ 1) \ y))) = a(x,x \ 1,y). [para(7097(a,1),7135(a,1,2))]. 7137 x \ (L(y \ 1,y,x) \ (L(y \ 1,y,x) \ ((L(y \ 1,y,x) \ 1) \ (y \ x)))) = a(L(y \ 1,y,x),L(y \ 1,y,x) \ 1,y \ x). [para(1065(a,1),7136(a,1,1))]. 7138 (x * y) * L(T(x,y) \ 1,z,u) = x * (y * L(T(x,y) \ 1,z,u)). [para(1638(a,1),7103(a,1,1))]. 7139 (x * y) * L(T(x \ 1,y),z,u) = x * (y * L(T(x,y) \ 1,z,u)). [para(3611(a,2),7138(a,1,2,1))]. 7140 x * (y * L(T(x,y) \ 1,z,u)) = L(x \ 1,z,u) * (x * y). [hyper(2162,a,7139,a),flip(a)]. 7141 x * (y * L(T(x \ 1,y),z,u)) = L(x \ 1,z,u) * (x * y). [para(3611(a,2),7140(a,1,2,2,1))]. 7142 L(x \ 1,y,z) * (x * u) = x * (L(x \ 1,y,z) * u). [hyper(58,a,699,a(flip),b,7141,a),flip(a)]. 7143 (x * L(x \ 1,y,z)) * L(x \ 1,u,w) = L(x \ 1,y,z) * (x * L(x \ 1,u,w)). [hyper(280,a,7027,a,b,7142,a)]. 7145 x * (L(x \ 1,y,z) * (x \ u)) != w | L(x \ 1,y,z) * u = w. [para(7142(a,1),294(a,1))]. 7146 ((x \ ((y \ 1) \ 1)) * (y \ 1)) \ y = (y \ (y / (y / x))) * (y * y). [para(378(a,1),7117(a,1,1,2,2,1)),flip(a)]. 7147 ((x \ ((y \ 1) \ 1)) * (y \ 1)) \ y = (x / y) * (y * y). [para(934(a,1),7146(a,2,1))]. 7148 ((x \ y) * (y \ 1)) \ y = (x / y) * (y * y). [para(378(a,1),7147(a,1,1,1,2))]. 7149 T(((x \ y) * (y \ 1)) \ y,(x \ y) * (y \ 1)) = T((x / y) * (y * y),y). [para(7148(a,1),502(a,1,1)),flip(a)]. 7150 (x \ ((y \ x) * (x \ 1))) \ x = ((y / x) * (x * x)) * x. [para(7148(a,1),1068(a,2,1))]. 7151 ((x \ 1) * ((y \ x) / x)) \ x = ((y / x) * (x * x)) * x. [para(7060(a,1),7150(a,1,1))]. 7152 ((x \ 1) * (x \ (x / y))) \ x = ((y / x) * (x * x)) * x. [para(935(a,1),7151(a,1,1,2))]. 7153 x \ ((x * y) * ((x \ 1) \ x)) = ((y / x) * (x * x)) * x. [hyper(58,a,727,a(flip),b,7152,a)]. 7154 ((x / y) * (y * y)) * y = (y \ (y * x)) * (y * y). [hyper(58,a,7118,a(flip),b,7153,a),flip(a)]. 7155 ((x / y) * (y * y)) * y = x * (y * y). [para(4(a,1),7154(a,2,1))]. 7156 T((x / y) * (y * y),y) = (y \ x) * (y * y). [hyper(226,a,7155,a,b,7122,a)]. 7157 (x * (y * y)) / y = (x / y) * (y * y). [hyper(123,a,7155,a)]. 7158 x * (y * y) != z * y | (x / y) * (y * y) = z. [para(7155(a,1),39(a,1))]. 7160 T(x,(y / x) * (x * x)) * (y * (x * x)) = x * (x * ((y / x) * (x * x))). [para(7155(a,1),1645(a,1,2))]. 7161 (x * ((y / x) * (x * x))) \ ((y * (x * x)) * z) = K((y / x) * (x * x),x) * z. [para(7155(a,1),4230(a,1,2,1))]. 7162 (x / y) * (y * y) = x * L(y,y,x). [hyper(58,a,2199,a(flip),b,7157,a),flip(a)]. 7163 L(x,x,x * y) = L(x,x,y). [hyper(6705,a,7162,a),flip(a)]. 7164 L(x,x,x \ y) = L(x,x,y). [hyper(6695,a,7162,a)]. 7165 T((((x * y) * x) / (x * x)) * x,L(x,x,y)) = L(x,x,x * y) \ ((x * y) * x). [para(7163(a,1),1392(a,1,2))]. 7166 T(((x \ y) * (y \ 1)) \ y,(x \ y) * (y \ 1)) = (y \ x) * (y * y). [hyper(280,a,7156,a(flip),b,7149,a),flip(a)]. 7167 T(x,y / ((z \ y) * (y \ 1))) = T(x,(y \ z) * (y * y)). [para(7166(a,1),5611(a,1,2)),flip(a)]. 7168 T(x,y \ ((y * y) * z)) = T(x,(y \ z) * (y * y)). [para(4850(a,1),7167(a,1,2))]. 7169 T(x,(y / x) * x) * (y * (x * x)) = x * (x * ((y / x) * (x * x))). [para(2226(a,1),7160(a,1,1))]. 7170 T(x,y) * (y * (x * x)) = x * (x * ((y / x) * (x * x))). [para(7(a,1),7169(a,1,1,2))]. 7171 x * (y * (T(x,y) * x)) = x * (x * ((y / x) * (x * x))). [hyper(4672,a,7170,a)]. 7172 x * (y * (x * T(x,y))) = x * (x * ((y / x) * (x * x))). [para(228(a,1),7171(a,1,2,2))]. 7173 T(((x * (y * x)) / (x * x)) * x,L(x,x,y)) = L(x,x,x * y) \ ((x * y) * x). [para(857(a,1),7165(a,1,1,1,1))]. 7174 L(x \ 1,x,y) \ (L(x,x \ 1,y \ 1) \ y) = x * ((L(x \ 1,x,y) \ 1) \ y). [para(3993(a,2),7011(a,1,2,1))]. 7175 T(L(x / (y \ 1),y,y \ 1) \ x,y \ 1) = (x \ L(x,y,y \ 1)) \ (y \ 1). [para(671(a,1),7059(a,2,1,2))]. 7176 T(L(x / (y \ 1),y,y \ 1) \ x,y \ 1) = a(x,y,y \ 1) \ (y \ 1). [para(3955(a,1),7175(a,2,1))]. 7177 T((x * y) \ x,y \ 1) = a(x,y,y \ 1) \ (y \ 1). [para(7054(a,1),7176(a,1,1,1))]. 7178 T(x \ (x / y),y \ 1) = a(x,y,y \ 1) \ (y \ 1). [para(304(a,1),7177(a,1,1))]. 7179 (x \ (x / y)) \ (y \ 1) = a(x,y,y \ 1). [hyper(430,a,7178,a)]. 7180 L(x \ 1,x,y) \ (L(x,x \ 1,y \ 1) \ y) = x * (L(x,x \ 1,y \ 1) \ y). [para(3993(a,2),7174(a,2,2,1))]. 7181 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(3372(a,1),6342(a,1,2))]. 7182 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(6343(a,1),7181(a,1,2))]. 7183 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(823,a,7182,a),flip(a)]. 7184 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(7182(a,1),823(a,1))]. 7185 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(58,a,6341,a,b,7183,a)]. 7186 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(6573(a,2),7183(a,1,2))]. 7187 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(7183(a,1),6885(a,1,2)),flip(a)]. 7189 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(7185(a,1),4353(a,1,1))]. 7190 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(7(a,1),7189(a,1,2,2))]. 7191 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4049,a,7187,a)]. 7192 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(58,a,1610,a(flip),b,7191,a)]. 7193 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(7184,a,7186,a)]. 7194 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(58,a,6270,a(flip),b,7193,a),flip(a)]. 7195 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4866,a,7194,a)]. 7196 L(x,y \ (y / z),(y \ (y / z)) \ 1) = L(x,y \ (z \ y),(y \ (z \ y)) \ 1). [para(3622(a,1),6392(a,1,3)),flip(a)]. 7197 L((x / y) \ z,y \ x,y * (y / x)) = y \ ((y * (y / x)) * z). [para(990(a,1),6772(a,1,1,1))]. 7198 L((x / y) \ z,y \ x,y * (x \ y)) = y \ ((y * (y / x)) * z). [hyper(58,a,6773,a(flip),b,7197,a)]. 7199 T(x,y) \ ((x * (y \ x)) * z) = x \ ((x * (x / y)) * z). [hyper(58,a,6763,a(flip),b,7198,a)]. 7200 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(4587(a,1),6911(a,1,1)),flip(a)]. 7201 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7200(a,1),6226(a,1,1)),flip(a)]. 7202 T(T(x,K(y * z,T(y,u))),T(y * z,u) / y) = T(x,(y \ 1) * T((y \ 1) \ z,u)). [para(3638(a,1),6971(a,1,1,2))]. 7203 ((x / (x * y)) \ 1) * T(x / y,x \ 1) = (x * (((x * y) \ x) \ 1)) * (x / (x * y)). [para(6258(a,1),7034(a,2,1))]. 7204 ((x / (x * y)) \ 1) * T(x / y,y \ 1) = (x * (((x * y) \ x) \ 1)) * (x / (x * y)). [para(6258(a,1),7035(a,2,1))]. 7205 ((x * y) \ x) * ((x * ((x * y) \ x)) \ 1) = (x / (x * y)) * T((x / y) \ 1,y \ 1). [hyper(280,a,3615,a,b,7133,a),flip(a)]. 7206 x \ a((x * y) \ x,((x * y) \ x) \ 1,x) = (x / (x * y)) * (T(x / y,y \ 1) \ 1). [hyper(58,a,7064,a,b,7133,a)]. 7207 L((x \ (x / y)) \ 1,x \ (x / y),x * y) * ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) = ((x \ (x / y)) * (x \ ((x * y) * 1))) * L((x \ (x / y)) \ 1,z,u). [para(576(a,1),7143(a,1,1,2)),flip(a)]. 7208 L((x \ (x / y)) \ 1,z,u) * ((x \ (x / y)) * L((x \ (x / y)) \ 1,x \ (x / y),x * y)) = ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) * (x \ ((x * y) * 1)). [para(576(a,1),7143(a,1,2)),flip(a)]. 7209 T(T(x,K(y,T(z,u))),T(z * y,u) / z) = T(x,(z \ 1) * T((z \ 1) \ y,u)). [para(3925(a,1),7202(a,1,1,2))]. 7210 ((x / (x * y)) \ 1) * T(x / y,x \ 1) = (x * ((x \ (x / y)) \ 1)) * (x / (x * y)). [para(304(a,1),7203(a,2,1,2,1))]. 7211 ((x / (x * y)) \ 1) * T(x / y,y \ 1) = (x * ((x \ (x / y)) \ 1)) * (x / (x * y)). [para(304(a,1),7204(a,2,1,2,1))]. 7212 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(1193,a,2834,a),flip(a)]. 7213 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(7212(a,1),5472(a,1,1)),flip(a)]. 7214 K(R(x,y,R(T(x,y),z,u)),T(w,y)) != v5 | K(x,T(w,R(x,z,u) * y)) = v5. [para(7213(a,1),5568(a,1))]. 7215 (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(3215(a,1),3222(a,1,2,2))]. 7216 (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). [para(4947(a,1),7215(a,1,2,2))]. 7217 L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). [para(101(a,1),7216(a,1,2)),flip(a)]. 7218 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(101(a,1),4080(a,2,2))]. 7219 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(2315(a,1),4936(a,1,2))]. 7220 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(4(a,1),7219(a,1,2,1,2,1))]. 7221 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(280,a,5724,a(flip),b,7220,a),flip(a)]. 7222 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(3863,a,5073,a(flip)),flip(a)]. 7223 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [hyper(280,a,3449,a(flip),b,7222,a),flip(a)]. 7225 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(58,a,6246,a(flip),b,7223,a),flip(a)]. 7227 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(58,a,5106,a(flip),b,7225,a),flip(a)]. 7228 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(280,a,4138,a(flip),b,7227,a),flip(a)]. 7229 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(4544,a,7228,a)]. 7230 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(101(a,1),7229(a,1,1,1)),flip(a)]. 7231 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(58,a,4139,a(flip),b,7230,a),flip(a)]. 7232 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(58,a,5098,a,b,7231,a)]. 7233 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [para(3949(a,1),7231(a,1,1,1))]. 7234 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(4660(a,1),7232(a,2,1,2,1))]. 7235 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(5222,a,7233,a(flip)),flip(a)]. 7236 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(7235(a,1),3061(a,1,2,1,2))]. 7237 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(3172,a,7236,a),flip(a)]. 7238 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(680(a,1),7237(a,1,1,1))]. 7239 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(280,a,6293,a(flip),b,7238,a),flip(a)]. 7240 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(58,a,5914,a(flip),b,7239,a),flip(a)]. 7241 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(5561,a,7240,a),flip(a)]. 7242 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(4739,a,5216,a),flip(a)]. 7244 L(R(x,y,z),u,x) = K(R(x,y,z),x * w) * ((x * (w * R(x,y,z))) / (x * w)). [para(5077(a,1),5245(a,2,1))]. 7245 L(R(x,y,z),u,x) = K(R(x,y,z),x * w) * ((x * (L(w,v5,w) * R(x,y,z))) / (x * L(w,v5,w))). [para(6133(a,1),7244(a,2,1))]. 7246 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(2496(a,1),5634(a,1,2,1)),flip(a)]. 7247 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(2496(a,1),7246(a,1,2)),flip(a)]. 7249 (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(7247(a,1),712(a,1,1,1)),flip(a)]. 7251 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(280,a,5878,a(flip),b,5872,a),flip(a)]. 7252 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(280,a,5978,a(flip),b,7251,a),flip(a)]. 7253 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(212(a,1),7252(a,2,2,2))]. 7254 K(x,K(y * z,L(u,y,z))) * K(x,L(T(u,y),y,z)) = K(x,(z * (u * y)) / (z * y)). [para(5859(a,1),5910(a,1,1,2))]. 7255 T(T(x,y) * (y * z),y * x) \ (z * T(x * y,y)) = a(T(x,y),y,T(z,T(x,y) * y)). [para(917(a,2),6204(a,1,2,2))]. 7256 L(x \ 1,x \ (x / y),((x * y) \ x) \ 1) = (x / (x * y)) * (T(x / y,x \ 1) \ 1). [para(304(a,1),7132(a,1,2))]. 7257 (x / (x * y)) * (T(x / y,x \ 1) \ 1) != z | ((x * y) \ x) * ((x * ((x * y) \ x)) \ 1) = z. [para(7132(a,1),7051(a,1))]. 7258 x \ a(x \ (x / y),((x * y) \ x) \ 1,x) = (x / (x * y)) * (T(x / y,y \ 1) \ 1). [para(304(a,1),7206(a,1,2,1))]. 7259 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(4181(a,1),7234(a,2,1,2))]. 7260 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(280,a,6296,a(flip),b,7242,a),flip(a)]. 7262 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(280,a,5446,a(flip),b,7260,a),flip(a)]. 7263 T(T(x,y) * (y * z),y * x) \ (z * T(x * y,y)) = a(T(x,y),y,T(z,y * x)). [para(5625(a,1),7255(a,2,3))]. 7264 (L(x,y,z) * T(z * y,y)) \ (x * T(z * y,y)) = a(T(z,y),y,T(x,y * z)). [para(6679(a,1),7263(a,1,1))]. 7265 L(x \ 1,x \ (x / y),(x \ (x / y)) \ 1) = (x / (x * y)) * (T(x / y,x \ 1) \ 1). [para(304(a,1),7256(a,1,3,1))]. 7266 x \ a(x \ (x / y),(x \ (x / y)) \ 1,x) = (x / (x * y)) * (T(x / y,y \ 1) \ 1). [para(304(a,1),7258(a,1,2,2,1))]. 7267 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(4018(a,1),7259(a,2,1))]. 7268 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(280,a,6723,a(flip),b,7267,a),flip(a)]. 7270 L(x \ 1,x \ (y \ x),(x \ (y \ x)) \ 1) = (x / (x * y)) * (T(x / y,x \ 1) \ 1). [hyper(58,a,7196,a(flip),b,7265,a)]. 7271 (x \ (y \ x)) * ((x * (x \ (y \ x))) \ 1) = (x / (x * y)) * (T(x / y,x \ 1) \ 1). [hyper(7051,a,7270,a)]. 7272 (x / (x * y)) * (T(x / y,x \ 1) \ 1) = (x \ (y \ x)) * ((y \ x) \ 1). [para(5(a,1),7271(a,1,2,1)),flip(a)]. 7274 (K(x,y) * z) * L((z \ 1) * K(y,x),u,w) = K(x,y) * (z * L(z \ K(y,x),u,w)). [para(3418(a,1),3482(a,2,2,2,1,2))]. 7275 (x * K(y,z)) * L(K(z,y) * (x \ 1),u,w) = x * (K(y,z) * L(K(z,y) * (x \ 1),u,w)). [para(4271(a,1),3484(a,2,2,2,1))]. 7276 T(T(x \ 1,L(y,z,u)),T(y \ x,L(y,z,u))) = T(x,L(y,z,u)) \ K(T(x,L(y,z,u)),y). [para(3611(a,2),3768(a,1,1))]. 7277 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(4323(a,1),4347(a,1,2,2))]. 7278 L(T(L(x,y,z) \ 1,y),L(T(x,y),y,z),z * (x * y)) = (z * (x * y)) \ (z * y). [para(219(a,1),4589(a,1,2))]. 7279 L(T(L(x,y,z) \ 1,y),L(x,y,z),z * (x * y)) = (z * (x * y)) \ (z * y). [hyper(58,a,6468,a(flip),b,7278,a)]. 7281 T(K(x \ 1,y \ 1) * z,(y \ 1) \ (x \ 1)) = ((x \ y) \ 1) * (z / ((y / x) \ 1)). [para(522(a,1),4842(a,2,1))]. 7282 T(K(x,y \ 1) * z,(x \ 1) \ (y \ 1)) = ((y \ x) \ 1) * (z / ((x / y) \ 1)). [para(3566(a,1),7281(a,1,1,1))]. 7283 T(K(x,y) * z,(y \ 1) \ (x \ 1)) = ((x \ y) \ 1) * (z / ((y / x) \ 1)). [para(3566(a,1),7282(a,1,1,1))]. 7284 ((x \ y) \ 1) * (z / ((y / x) \ 1)) = T(K(x,y) * z,(x / y) \ 1). [para(537(a,1),7283(a,1,2)),flip(a)]. 7285 ((x \ y) \ 1) * (z / ((y / x) \ 1)) = T(K(x,y) * z,y / x). [hyper(280,a,3495,a(flip),b,7284,a),flip(a)]. 7286 T(K(x,y) * z,y / x) = (x * T((z \ 1) / x,y)) \ 1. [hyper(58,a,6999,a(flip),b,7285,a),flip(a)]. 7287 T(K(x,y) * z,y / x) = T(x * z,y) / x. [hyper(280,a,6002,a(flip),b,7286,a),flip(a)]. 7288 K(x,T(y \ ((1 / z) * u),w)) = K(x,T(y \ ((z \ 1) * u),w)). [hyper(5981,a,5983,a),flip(a)]. 7289 K(x,T(y \ (((z \ 1) \ 1) * u),w)) = K(x,T(y \ (z * u),w)). [para(67(a,1),7288(a,1,2,1,2,1)),flip(a)]. 7290 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(3241(a,1),6242(a,1,1,2))]. 7291 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(280,a,2462,a(flip),b,7290,a),flip(a)]. 7293 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(124,a,7291,a)]. 7294 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(31,a,4273,a,b,7291,a)]. 7296 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(5823,a,7293,a),flip(a)]. 7297 K(x,y) * (K(x,T(z,y)) * u) = T(T(x,y),z) * (x \ u). [hyper(280,a,4812,a(flip),b,7293,a),flip(a)]. 7298 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(101(a,1),7293(a,1,2)),flip(a)]. 7299 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(5281(a,2),7293(a,1,1))]. 7300 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(4268(a,1),7294(a,1,2,2)),flip(a)]. 7301 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(280,a,4376,a,b,7300,a)]. 7302 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(5004(a,1),7300(a,1,2,1)),flip(a)]. 7303 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4019(a,1),7301(a,1,2))]. 7304 K(x,y) * (K(z,x) * u) != w | K(z,x) * (K(x,y) * u) = w. [para(7301(a,1),4386(a,1))]. 7305 x \ (T(x,y) * (K(z,x) * u)) = T(x,z) \ (T(x,y) * u). [hyper(280,a,4011,a,b,7303,a)]. 7306 T(x,y) * (K(z,x) * u) = K(z,x) * (T(x,y) * u). [hyper(33,a,4282,a,b,7305,a),flip(a)]. 7307 T(x,y) \ (K(z,x) * u) = K(z,x) * (T(x,y) \ u). [hyper(111,a,140,a(flip),b,7306,a)]. 7309 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(226,a,5020,a,b,7298,a)]. 7310 T(K(x,K(y,z)) * u,K(x,y)) = T(K(x,y),z) * (u * K(y,x)). [hyper(280,a,5824,a(flip),b,7309,a),flip(a)]. 7311 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(29,a,6032,a(flip),b,7309,a(flip)),flip(a)]. 7312 T(K(x,y) * z,K(x,u)) != K(x,y) * w | T(z,K(x,u)) = w. [para(7309(a,2),38(a,1))]. 7313 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(5281(a,1),7309(a,2,1))]. 7314 T(T(x,y),K(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). [hyper(5807,a,7311,a),flip(a)]. 7315 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(3235(a,1),7311(a,2,2))]. 7316 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(7311(a,2),4317(a,1,1))]. 7317 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(4324(a,1),7316(a,1,1,1))]. 7318 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(126,a,7317,a),flip(a)]. 7319 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(7318(a,2),4317(a,1,1))]. 7320 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) != w | K(z,y) = w. [para(7318(a,2),4343(a,1,1))]. 7321 K(x,y) * (T(z,K(y,x)) * K(y,u)) = (z * K(y,u)) * K(x,y). [para(7318(a,1),5363(a,1,2))]. 7322 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(7214,a,7319,a(flip)),flip(a)]. 7323 T(x * K(y,z),T(z,u)) = T(x,T(z,u)) * K(y,z). [para(5748(a,1),7314(a,1,1)),flip(a)]. 7324 T(K(x,y) * z,T(x,u)) = K(x,y) * T(z,T(x,u)). [hyper(6149,a,7323,a),flip(a)]. 7325 K(x,y) * T(z / T(x,u),T(x,u)) = T(x,u) \ (K(x,y) * z). [hyper(4818,a,7324,a),flip(a)]. 7326 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(5281(a,2),7299(a,2,2,1))]. 7327 T(K(x,K(y,z)) * u,K(x,y)) = K(x,T(y,z)) * (u * K(y,x)). [hyper(4764,a,7310,a(flip)),flip(a)]. 7328 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(5281(a,1),7313(a,1,1,1))]. 7329 T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). [para(103(a,1),7325(a,1,2)),flip(a)]. 7330 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(294,a,7326,a),flip(a)]. 7331 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(5281(a,2),7330(a,1,2,1))]. 7332 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(5004(a,1),7302(a,1,1))]. 7333 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(3235(a,1),7315(a,1,1,2))]. 7334 T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)). [hyper(1102,a,7333,a),flip(a)]. 7335 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,w) \ v5),v6,v7)) = z * L(T(K(x,u),v5),v6,v7). [para(5(a,1),6584(a,2,2,1,2))]. 7341 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(960(a,1),6597(a,1,2))]. 7342 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(280,a,3169,a(flip),b,7341,a),flip(a)]. 7347 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(900(a,1),7342(a,1,1,1,1,1))]. 7351 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(3232(a,1),7347(a,1,1))]. 7353 R(x * K(y,x),z,x) = (x \ L(T(x,y),u,x)) \ x. [para(4838(a,1),7351(a,1,1)),flip(a)]. 7354 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(280,a,5980,a(flip),b,6890,a),flip(a)]. 7355 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(5792(a,1),7354(a,1,2,1,2,1))]. 7356 L(L(x,y,z) \ ((L(x,y,z) \ 1) \ x),u,w) * (L(x,y,z) \ 1) = L(x,y,z) \ L(x,u,w). [para(1792(a,2),7028(a,1,1))]. 7357 ((x \ 1) * y) \ L((x \ 1) * (y * x),z,u) = L(L(y,x,x \ 1),z,u) / ((x \ 1) * y). [para(7045(a,1),7031(a,1,1,1)),flip(a)]. 7358 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,w) \ z),v5,v6)) = L(K(x,u),v5,v6) * z. [hyper(280,a,224,a(flip),b,7335,a),flip(a)]. 7359 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [hyper(58,a,699,a(flip),b,7358,a)]. 7360 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(4271(a,1),7359(a,1,2,2))]. 7361 L(L(x,y,z) \ (x * L(x,y,z)),u,w) * (L(x,y,z) \ 1) = L(x,y,z) \ L(x,u,w). [para(1931(a,1),7356(a,1,1,1,2))]. 7362 L(T(x,L(x,y,z)),u,w) * (L(x,y,z) \ 1) = L(x,y,z) \ L(x,u,w). [para(17(a,2),7361(a,1,1,1))]. 7363 L(x,y,z) * (L(x,u,w) \ 1) = L(x,u,w) \ L(x,y,z). [para(161(a,1),7362(a,1,1,1))]. 7364 L(x,y,z) \ (L(x,u,w) \ L(x,y,z)) = L(x,u,w) \ 1. [hyper(115,a,7363,a)]. 7365 ((L(x,y,z) \ L(x,u,w)) \ L(x,u,w)) * L(x,u,w) = (L(x,y,z) \ 1) \ L(x,u,w). [para(7364(a,1),1068(a,1,1)),flip(a)]. 7366 T(L(x,y,z),L(x,u,w)) * L(x,u,w) = (L(x,y,z) \ 1) \ L(x,u,w). [para(411(a,2),7365(a,1,1))]. 7367 L(T(x,L(x,y,z)),u,w) * L(x,y,z) = (L(x,u,w) \ 1) \ L(x,y,z). [para(20(a,2),7366(a,1,1))]. 7368 (L(x,y,z) \ 1) \ L(x,u,w) = L(x,y,z) * L(x,u,w). [para(161(a,1),7367(a,1,1,1)),flip(a)]. 7369 L(x,x \ 1,y \ 1) \ L(x \ 1,z,u) = L(x \ 1,x,y) * L(x \ 1,z,u). [para(3993(a,2),7368(a,1,1))]. 7370 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). [para(2882(a,2),3131(a,2,1,2))]. 7371 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(3372(a,1),7370(a,2,2))]. 7372 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = R(x,y,T(z,u)). [hyper(280,a,15,a,b,7371,a),flip(a)]. 7373 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [para(3126(a,1),7372(a,1,3))]. 7374 R(x,y,T(z,y)) = R(x,y,z). [hyper(3144,a,7373,a),flip(a)]. 7375 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(58,a,5638,a(flip),b,7373,a),flip(a)]. 7377 R(x,y,T(z,y)) != u | R(x,y,z) = u. [para(7373(a,1),3144(a,1))]. 7378 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(58,a,6153,a,b,7374,a)]. 7379 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(7374(a,1),594(a,1,1))]. 7381 K(x,y) != z | R(K(x,y),y,u) = z. [para(4193(a,1),7377(a,1))]. 7382 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(5893(a,1),7378(a,1,2))]. 7383 R(T(1 / x,y),x,z) * (z * x) = K(x \ 1,y) * T(z,x). [para(2913(a,1),7379(a,2,1))]. 7385 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7375(a,2),4310(a,1,1))]. 7386 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * (x \ K(x \ 1,y)). [hyper(280,a,2120,a,b,7383,a),flip(a)]. 7387 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(3631(a,2),7382(a,1,2))]. 7388 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(7387(a,1),6805(a,2,1))]. 7389 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5362(a,1),7385(a,1,1,3))]. 7390 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(4271(a,1),7389(a,2,2))]. 7391 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(280,a,7390,a(flip),b,7388,a),flip(a)]. 7392 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(3638(a,1),7391(a,1,1,2))]. 7393 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(5433(a,1),7392(a,1,2))]. 7394 (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(5238(a,2),7393(a,1,1))]. 7395 T(a(x,y,z),(x * y) * z) \ (a(x,y,z) * (x * (y * z))) = T(x * (y * z),(x * y) * z). [para(926(a,1),3178(a,1,2))]. 7396 K((x * y) * z,a(x,y,z)) * (x * (y * z)) = T(x * (y * z),(x * y) * z). [hyper(4386,a,7395,a)]. 7397 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [hyper(33,a,2108,a,b,3289,a),flip(a)]. 7399 K(x \ 1,x) * (T(1 / y,z) * u) = T(y \ 1,z) * u. [hyper(1876,a,7397,a)]. 7400 T(x \ 1,y) * x = K(z \ 1,z) * K(x \ 1,y). [para(2913(a,1),7399(a,1,2)),flip(a)]. 7401 (1 / x) \ T(x \ 1,y) = T(x \ 1,y) * x. [hyper(280,a,4675,a(flip),b,7400,a)]. 7402 K(x \ 1,x) * (y * K(z \ 1,u)) = y * (T(z \ 1,u) * z). [para(7400(a,2),1464(a,2,2))]. 7403 x / (y * (T(z \ 1,u) * ((z \ (T(z \ 1,u) \ (y \ x))) * z))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(7401(a,2),6478(a,2,2,2,2))]. 7404 K(x,y / (z * (T(u \ 1,w) * u))) = K(x,y / (z * K(u \ 1,w))). [para(7402(a,1),3086(a,1,2,2))]. 7405 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(280,a,6,a(flip),b,3444,a),flip(a)]. 7407 R(x,K(y,z),L(z,u,w)) = x. [para(3364(a,1),7405(a,1,3))]. 7408 x / (K(y,z) * L(z,u,w)) = (x / L(z,u,w)) * K(z,y). [hyper(58,a,4344,a(flip),b,7407,a)]. 7410 (((x * L(y,z,u)) * K(w,y)) / L(y,z,u)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [hyper(58,a,2580,a(flip),b,7408,a),flip(a)]. 7411 L(L(x \ 1,x,y),z,u) * (L(x \ 1,x,y) \ y) = (x * y) * L(y \ (x \ y),z,u). [para(1064(a,1),3989(a,2,2,1))]. 7412 L(L(x \ 1,x,y),z,u) * (L(x \ 1,x,y) \ y) = x * (y * L(y \ (x \ y),z,u)). [hyper(280,a,2138,a(flip),b,7411,a),flip(a)]. 7413 L(L(x \ 1,x,y),z,u) * (x * y) = x * (y * L(y \ (x \ y),z,u)). [para(3986(a,1),7412(a,1,2))]. 7414 L(x \ (x / y),z,u) * (y * x) = y * (x * L(x \ (y \ x),z,u)). [para(336(a,1),7413(a,1,1,1))]. 7415 T((x * y) * L(x \ (y \ x),z,u),x \ (x / y)) = y * (x * L(x \ (y \ x),z,u)). [hyper(58,a,3767,a,b,7414,a)]. 7416 T((x * y) * L(x \ (y \ x),z,u),y \ 1) = y * (x * L(x \ (y \ x),z,u)). [hyper(5697,a,7415,a)]. 7418 T((x * y) * L(x \ (y \ x),z,u),y \ 1) = (y * L(y \ 1,z,u)) * x. [hyper(280,a,2253,a(flip),b,7416,a),flip(a)]. 7419 T((x * L(x \ 1,y,z)) * u,x) = (u * x) * L(u \ (x \ u),y,z). [hyper(3498,a,7418,a)]. 7420 T((x * y) * L(x \ (y \ x),z,u),y \ 1) != w | (y * L(y \ 1,z,u)) * x = w. [para(7419(a,1),3499(a,1,1))]. 7422 T(x \ L(x,y,z),u \ (x \ L(x,y,z))) = (K(u,x \ L(x,y,z)) / x) * L(x,y,z). [hyper(4205,a,2848,a(flip)),flip(a)]. 7423 (K(x,y \ L(y,z,u)) / y) * L(y,z,u) = T(y \ L(y,z,u),x \ 1). [hyper(3520,a,7422,a),flip(a)]. 7424 (x \ K(y,L(x,z,u) / x)) * L(x,z,u) = T(x \ L(x,z,u),y \ 1). [para(3778(a,1),7423(a,1,1))]. 7425 (x \ K(y,x \ L(x,z,u))) * L(x,z,u) = T(x \ L(x,z,u),y \ 1). [para(445(a,1),7424(a,1,1,2,2))]. 7426 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(58,a,5116,a(flip),b,5169,a),flip(a)]. 7427 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(3848,a,7426,a),flip(a)]. 7428 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(58,a,5603,a(flip),b,7427,a)]. 7429 K(x,R(x \ 1,x,y) * z) != u | K(x,z * (y / (x * y))) = u. [para(7427(a,1),3848(a,1))]. 7430 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(6136(a,1),7428(a,1,1))]. 7431 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(4737,a,7430,a)]. 7432 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(5550,a,7431,a),flip(a)]. 7434 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),y \ (y * z)). [para(3297(a,1),6024(a,2,2))]. 7435 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),z). [para(4(a,1),7434(a,2,2,2))]. 7436 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(x,z). [para(2853(a,1),7435(a,2,2))]. 7437 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(280,a,3051,a,b,7436,a),flip(a)]. 7438 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(3320,a,7437,a)]. 7439 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(4(a,1),7438(a,1,2))]. 7440 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(4156,a,7439,a)]. 7441 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(58,a,6443,a(flip),b,7440,a)]. 7443 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(5(a,1),7441(a,2,1))]. 7444 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y,T((x / (x / y)) * (z \ 1),x)). [hyper(280,a,5472,a(flip),b,6403,a),flip(a)]. 7445 K(x * K(y,x),z \ (y / (y / x))) = K(x,T((y / (y / x)) * (z \ 1),y)). [para(3329(a,1),7444(a,1,1))]. 7446 K(x,T((y / (y / x)) * (z \ 1),y)) = K(x,T(z \ (y / (y / x)),y)). [hyper(5645,a,7445,a),flip(a)]. 7448 K(x,T(y \ (z / (z / x)),z)) = K(x,T(y \ x,z)). [hyper(58,a,6661,a(flip),b,7446,a),flip(a)]. 7449 K(x / (x / y),z \ (x / (x / y))) = K(y,T(z \ y,x)). [hyper(5572,a,7448,a)]. 7451 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(280,a,2526,a(flip),b,6637,a),flip(a)]. 7452 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(22(a,2),7451(a,2,3))]. 7453 T(x \ 1,y) * T((z * ((x * z) \ 1)) \ 1,y) = L(T(x \ 1,y),z,z \ 1) \ T(x \ 1,y). [hyper(58,a,3615,a,b,7101,a)]. 7454 ((x * y) \ x) * ((x * ((x * y) \ x)) \ 1) = (x \ (y \ x)) * ((y \ x) \ 1). [hyper(7257,a,7272,a)]. 7455 (x / (x * y)) * T((x / y) \ 1,y \ 1) = (x \ (y \ x)) * ((y \ x) \ 1). [hyper(58,a,7205,a(flip),b,7454,a)]. 7456 T(x \ 1,y) * T(1 \ ((x * z) * (z \ 1)),y) = L(T(x \ 1,y),z,z \ 1) \ T(x \ 1,y). [para(370(a,1),7453(a,1,2,1))]. 7457 L(T(x \ 1,y),z,z \ 1) \ T(x \ 1,y) = T(x \ 1,y) * T(1 \ L(x,z,z \ 1),y). [para(3949(a,1),7456(a,1,2,1,2)),flip(a)]. 7458 L(T(x \ 1,y),z,z \ 1) \ T(x \ 1,y) = T(x \ 1,y) * T(L(x,z,z \ 1),y). [para(60(a,1),7457(a,2,2,1))]. 7459 L(T(x \ 1,y),z,z \ 1) \ T(x \ 1,y) = T(x \ 1,y) * L(T(x,y),z,z \ 1). [para(20(a,2),7458(a,2,2))]. 7460 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(3140(a,1),3142(a,1,1,2,1,1)),flip(a)]. 7461 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(4(a,1),7460(a,2,1,2,1))]. 7462 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(3140(a,1),7461(a,1,1)),flip(a)]. 7463 L(T(x,y),z,u) \ (K(L(x,z,u),y) * (x \ L(x,z,u))) = x \ 1. [hyper(280,a,4163,a(flip),b,3228,a),flip(a)]. 7465 T((L(x,y,y \ 1) / x) \ 1,L(T(((1 / y) * (y * x)) / x,z),u,w)) = a(1 / (y * x),y,x). [para(624(a,1),3360(a,1,1,1,1))]. 7466 T((x \ L(x,y,y \ 1)) \ 1,L(T(((1 / y) * (y * x)) / x,z),u,w)) = a(1 / (y * x),y,x). [para(445(a,1),7465(a,1,1,1))]. 7467 T(a(x,y,y \ 1) \ 1,L(T(((1 / y) * (y * x)) / x,z),u,w)) = a(1 / (y * x),y,x). [para(3955(a,1),7466(a,1,1,1))]. 7468 T(a(x,y,y \ 1) \ 1,L(T(L(x,y,y \ 1) / x,z),u,w)) = a(1 / (y * x),y,x). [para(624(a,1),7467(a,1,2,1,1,1))]. 7469 T(a(x,y,y \ 1) \ 1,L(T(x \ L(x,y,y \ 1),z),u,w)) = a(1 / (y * x),y,x). [para(445(a,1),7468(a,1,2,1,1))]. 7470 T(a(x,y,y \ 1) \ 1,L(T(a(x,y,y \ 1),z),u,w)) = a(1 / (y * x),y,x). [para(3955(a,1),7469(a,1,2,1,1))]. 7471 a(1 / (x * y),x,y) = a(y,x,x \ 1) \ 1. [hyper(58,a,3359,a(flip),b,7470,a),flip(a)]. 7472 a((x * y) \ 1,x,y) = a(y,x,x \ 1) \ 1. [para(376(a,1),7471(a,1,1))]. 7473 a((x * y) \ 1,x,y) = a(x,x \ 1,y). [hyper(280,a,7069,a(flip),b,7472,a),flip(a)]. 7474 a((x * y) \ 1,x,y) = a(x \ 1,x,y). [hyper(280,a,3972,a(flip),b,7472,a),flip(a)]. 7475 ((K(x,y) * z) * u) \ (z * (K(x,T(y,z)) * u)) = (K(x,y) * z) \ ((z * (K(x,T(y,z)) * u)) / u). [para(3631(a,2),3654(a,2,2,1,2,1))]. 7476 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(376(a,1),5886(a,1,2,2,1,1))]. 7477 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(6869(a,1),5894(a,1,2))]. 7478 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(785(a,1),5922(a,1,1))]. 7479 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(3854,a,7478,a)]. 7480 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(280,a,2450,a(flip),b,7479,a),flip(a)]. 7481 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(7480(a,2),6880(a,1))]. 7482 (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(4019(a,1),6369(a,1,1))]. 7483 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(823,a,7482,a),flip(a)]. 7484 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(7482(a,1),823(a,1))]. 7485 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4012(a,1),7483(a,1,2)),flip(a)]. 7486 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(67(a,1),6445(a,1,2,1)),flip(a)]. 7488 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(3631(a,2),7486(a,2,2))]. 7489 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(280,a,4315,a(flip),b,7488,a),flip(a)]. 7491 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(58,a,5639,a(flip),b,7489,a),flip(a)]. 7493 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(7491(a,2),5644(a,1))]. 7494 ((x * y) * (K(x,T(z,y)) * T(K(z,T(x,y)) * ((x * y) \ u),w))) \ u = K(w,(T(x,z) * y) \ u). [para(3638(a,1),6479(a,1,1,2,2,1,1))]. 7495 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),K(w,v5))) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),K(v5,w))). [para(5355(a,1),6646(a,1,2))]. 7496 a(L(x \ 1,x,y),L(x \ 1,x,y) \ 1,x \ y) = a(L(x \ 1,x,y),L(x,x \ 1,y \ 1),y). [para(3993(a,2),7111(a,2,2))]. 7498 L(R(x,y,z),u,x) = K(R(x,y,z),x * w) * R((x * (L(w,v5,w) * x)) / (x * L(w,v5,w)),y,z). [para(2424(a,2),7245(a,2,2))]. 7499 ((K(x,y) * z) * u) \ (z * (K(x,T(y,z)) * u)) = (K(x,y) * z) \ (u / (K(T(y,z),x) * (z \ u))). [para(4307(a,1),7475(a,2,2))]. 7500 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(5355(a,1),7476(a,1,2))]. 7501 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(4(a,1),7477(a,1,2,2,2,1))]. 7502 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [hyper(5987,a,7501,a),flip(a)]. 7503 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [hyper(5562,a,7502,a)]. 7504 a(L(x \ 1,x,y),L(x,x \ 1,y \ 1),x \ y) = a(L(x \ 1,x,y),L(x,x \ 1,y \ 1),y). [para(3993(a,2),7496(a,1,2))]. 7506 L(R(x,y,z),u,x) = K(R(x,y,z),x * w) * R(x * K(L(w,v5,w),x),y,z). [para(4885(a,1),7498(a,2,2,1))]. 7507 L(R(x,y,z),u,x) = K(R(x,y,z),x * w) * R(x * K(w,x),y,z). [para(542(a,1),7506(a,2,2,1,2,1))]. 7508 ((K(x,y) * z) * u) \ (z * (K(x,T(y,z)) * u)) = (K(x,y) * z) \ (u / (K(y,T(x,z)) * (z \ u))). [para(3638(a,1),7499(a,2,2,2,1))]. 7510 T(L(L(x * K(y,x),z,x),u,w) * y,x * K(y,x)) = L(x * K(y,x),u,w) * T(y,x). [para(2814(a,1),2846(a,1,1,1,1))]. 7511 T(x * L(L(y,z,u),w,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6344(a,1),7510(a,1,1))]. 7513 T(x * L(L(y,z,u),w,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(280,a,3066,a(flip),b,7511,a),flip(a)]. 7514 T(x * L(L(y,z,y),u,w),y * K(x,y)) = T(x,y) * L(y,u,w). [para(25(a,1),7513(a,1,1,2))]. 7515 T(x * L(L(y,z,y),u,w),T(y,x)) = T(x,y) * L(y,u,w). [hyper(5674,a,7514,a)]. 7516 L((x * K(y,z)) \ 1,u,w) * (x * K(y,z)) = x * (K(y,z) * L(K(z,y) * (x \ 1),u,w)). [hyper(3483,a,7275,a)]. 7517 L(K(x,y) * (z \ 1),u,w) * (z * K(y,x)) = z * (K(y,x) * L(K(x,y) * (z \ 1),u,w)). [para(3432(a,1),7516(a,1,1,1))]. 7518 L(T(x,(x * y) \ x),x / (x * y),(x / (x * y)) \ 1) = ((x / (x * y)) \ 1) * T(x / y,x \ 1). [para(775(a,1),3885(a,1,1))]. 7519 (x * (y * T(y,x))) * ((y * y) \ (x * (y * T(y,x)))) = (x * L(y,y,x)) * (L(y,y,x) * x). [para(1830(a,1),6729(a,2,2))]. 7520 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(4459,a,6857,a),flip(a)]. 7521 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(2825(a,1),7520(a,1,2)),flip(a)]. 7522 (x * ((y * x) \ T((y * x) * z,u))) \ (x * z) = K(u,L(y \ 1,x,x \ 1) \ (x * z)). [para(1360(a,1),7075(a,1,1,2))]. 7523 L(T(x,y \ x),x / (x * y),(x / (x * y)) \ 1) = ((x / (x * y)) \ 1) * T(x / y,x \ 1). [para(5193(a,1),7518(a,1,1))]. 7524 L(T(x,y \ x),(x * y) \ x,((x * y) \ x) \ 1) = ((x / (x * y)) \ 1) * T(x / y,x \ 1). [hyper(58,a,6393,a(flip),b,7523,a)]. 7525 L(T(x,y \ x),x \ (x / y),((x * y) \ x) \ 1) = ((x / (x * y)) \ 1) * T(x / y,x \ 1). [para(304(a,1),7524(a,1,2))]. 7526 L(T(x,y \ x),x \ (x / y),(x \ (x / y)) \ 1) = ((x / (x * y)) \ 1) * T(x / y,x \ 1). [para(304(a,1),7525(a,1,3,1))]. 7527 L(T(x,y \ x),x \ (y \ x),(x \ (y \ x)) \ 1) = ((x / (x * y)) \ 1) * T(x / y,x \ 1). [hyper(58,a,7196,a(flip),b,7526,a)]. 7528 T((x \ y) * ((y \ (x \ y)) \ 1),x \ y) = ((y / (y * x)) \ 1) * T(y / x,y \ 1). [hyper(58,a,4722,a(flip),b,7527,a)]. 7529 ((x / (x * y)) \ 1) * T(x / y,x \ 1) = ((x \ (y \ x)) \ 1) * (y \ x). [hyper(1021,a,7528,a),flip(a)]. 7531 (x * ((x \ (x / y)) \ 1)) * (x / (x * y)) = ((x \ (y \ x)) \ 1) * (y \ x). [hyper(58,a,7210,a(flip),b,7529,a)]. 7532 ((x / (x * y)) \ 1) * T(x / y,y \ 1) = ((x \ (y \ x)) \ 1) * (y \ x). [hyper(58,a,7211,a,b,7531,a)]. 7533 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(2835(a,1),3115(a,1,2,2,1))]. 7535 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(3216(a,1),7533(a,1,2,2))]. 7536 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(154,a,7535,a)]. 7537 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(60(a,1),7536(a,2,1))]. 7538 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(111,a,1991,a(flip),b,7537,a)]. 7539 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1657(a,1),3882(a,2,1))]. 7540 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(58,a,7539,a(flip),b,3883,a),flip(a)]. 7541 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1657(a,1),7540(a,1,1)),flip(a)]. 7542 (x / y) * L(((y \ x) * K(y,x)) \ z,u,w) = (x / y) * L(K(y,x) \ ((y \ x) \ z),u,w). [para(2993(a,1),4641(a,1,1))]. 7543 (x / y) * L(K(y,x) \ ((y \ x) \ z),u,w) = (x / y) * L((x / y) \ z,u,w). [para(2993(a,1),7542(a,1,2,1,1)),flip(a)]. 7544 (x / y) * L(K(x,y) * ((y \ x) \ z),u,w) = (x / y) * L((x / y) \ z,u,w). [para(4271(a,1),7543(a,1,2,1))]. 7545 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(4384(a,1),4841(a,1,2,1)),flip(a)]. 7546 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(977(a,1),7545(a,1,2))]. 7548 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(58,a,7201,a,b,7546,a)]. 7550 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(280,a,3044,a(flip),b,7548,a),flip(a)]. 7551 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(58,a,5601,a(flip),b,7550,a)]. 7552 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(280,a,3297,a(flip),b,5064,a),flip(a)]. 7553 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(4(a,1),7552(a,2,2))]. 7554 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(3320,a,7553,a)]. 7555 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(4(a,1),7554(a,1,2))]. 7556 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(58,a,5047,a(flip),b,7555,a)]. 7557 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(58,a,7443,a(flip),b,7556,a)]. 7558 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(4153,a,7557,a)]. 7560 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(58,a,6488,a(flip),b,7558,a)]. 7562 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(58,a,6123,a(flip),b,7560,a)]. 7563 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(5(a,1),7560(a,1,1,2,1)),flip(a)]. 7564 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(280,a,4651,a,b,7563,a),flip(a)]. 7565 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(7564(a,1),273(a,1,2))]. 7566 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(58,a,6297,a,b,7565,a)]. 7571 L(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(3109(a,1),6026(a,1,1)),flip(a)]. 7572 L(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(903(a,1),7571(a,1,2,1))]. 7574 L(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(280,a,6033,a,b,7572,a),flip(a)]. 7576 L(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(4014(a,1),7574(a,2,1))]. 7577 L(x,y,z) * T(R(u,w,u),x * R(u,w,u)) = T(T(u,u * x) * L(x,y,z),u). [para(766(a,2),7576(a,1,2))]. 7578 L(x,y,z) * T(R(u,w,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(900(a,1),7577(a,1,2,2,2))]. 7580 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(1041(a,1),7578(a,1,2)),flip(a)]. 7585 R(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(3109(a,1),6027(a,1,1)),flip(a)]. 7586 R(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(903(a,1),7585(a,1,2,1))]. 7588 R(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(280,a,6033,a,b,7586,a),flip(a)]. 7590 R(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(4014(a,1),7588(a,2,1))]. 7591 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(86(a,1),6475(a,1,2)),flip(a)]. 7592 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(280,a,555,a(flip),b,7591,a)]. 7593 ((x \ 1) * y) * L((((y \ 1) * x) \ 1) \ y,z,u) = ((y \ 1) * x) \ L((y \ 1) * (x * y),z,u). [para(528(a,1),7033(a,1,1))]. 7594 ((x \ 1) * y) \ L((x \ 1) * (y * x),z,u) = ((y \ 1) * x) * L(((y \ 1) * x) \ x,z,u). [para(528(a,1),7593(a,1,2,1,1)),flip(a)]. 7595 ((x \ 1) * y) \ L((x \ 1) * (y * x),z,u) = (y \ 1) * (x * L(x \ ((y \ 1) \ x),z,u)). [hyper(280,a,1567,a(flip),b,7594,a),flip(a)]. 7597 (x \ 1) * (y * L(y \ ((x \ 1) \ y),z,u)) = L(L(x,y,y \ 1),z,u) / ((y \ 1) * x). [hyper(58,a,7357,a(flip),b,7595,a),flip(a)]. 7598 (x * y) \ (((x * y) / L(z,y,x)) * L(L(z,y,x),u,w)) = (x * (y * z)) \ (x * (y * L(z,u,w))). [para(559(a,1),2406(a,2,2))]. 7599 ((x \ (K(y,z) * u)) \ ((K(z,y) * x) \ u)) / ((x \ (K(y,z) * u)) \ 1) = (K(z,y) * x) \ u. [para(4287(a,1),4862(a,1,1,2))]. 7600 (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(4014(a,1),4976(a,1,2))]. 7601 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. [para(376(a,1),6082(a,2,1,1,2,1,1,1))]. 7602 (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(280,a,4482,a(flip),b,6332,a),flip(a)]. 7603 (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(280,a,5948,a(flip),b,7602,a),flip(a)]. 7604 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(v5,v6,L(v5,v7,v8)). [para(4875(a,2),7603(a,2,2))]. 7605 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(v5,v6,L(v5,v7,v8)). [para(4481(a,1),7604(a,1,1))]. 7607 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(v5,v6,L(v5,v7,v8)). [para(6329(a,1),7605(a,1,2))]. 7609 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,w,y),y)) = ((R((z * y) / z,w,y) \ y) \ y) \ x. [para(7353(a,2),6415(a,1,1,2))]. 7610 (x * y) * T((x * y) \ (y * L(T(x,y),z,u)),w) = y * (T(T(x,y) \ L(T(x,y),z,u),w) * T(x,y)). [para(6726(a,1),6713(a,1,2))]. 7611 x * (T(T(y,x) \ L(T(y,x),z,u),w) * T(y,x)) = (y * x) * T(x \ (L(y,z,u) * (y \ x)),w). [para(2588(a,1),7610(a,1,2,1)),flip(a)]. 7612 x * (T(T(y,x) \ L(T(y,x),z,u),w) * T(y,x)) = (y * T(y \ L(y,z,u),w)) * x. [hyper(280,a,2593,a(flip),b,7611,a),flip(a)]. 7613 x * (T(y,x) * T(T(y,x) \ L(T(y,x),z,u),w)) = (y * T(y \ L(y,z,u),w)) * x. [para(746(a,1),7612(a,1,2))]. 7614 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(219(a,1),6835(a,1,1)),flip(a)]. 7615 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(5355(a,1),7614(a,2,1,1))]. 7616 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(280,a,20,a,b,7615,a),flip(a)]. 7617 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(4(a,1),7521(a,2,1,1))]. 7618 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(280,a,6558,a(flip),b,7617,a),flip(a)]. 7620 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(4(a,1),7618(a,1,1,1))]. 7621 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(4(a,1),7620(a,1,2,2))]. 7622 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(3235(a,1),7621(a,1,2,1,3))]. 7623 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. [para(6621(a,1),7601(a,2,1,1))]. 7624 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. [para(4276(a,1),7623(a,2,1))]. 7626 ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(479(a,1),7624(a,1,2,1,2))]. 7627 ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(6505(a,1),7626(a,1,2,1))]. 7628 ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(65(a,1),7627(a,1,2,1,2,1))]. 7630 (x * (y * (z * K(u \ 1,u)))) \ (K(w \ 1,w) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(w \ 1,w)). [para(599(a,1),2353(a,1,1,2))]. 7631 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(3363(a,1),2582(a,1,2,2)),flip(a)]. 7632 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(280,a,5294,a(flip),b,7631,a),flip(a)]. 7634 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(2816(a,1),7632(a,2,2,2))]. 7635 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(185(a,1),7634(a,2,2))]. 7637 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(280,a,3,a(flip),b,7635,a),flip(a)]. 7639 R(x,K(y,z),R(z,u,w)) = x. [para(3363(a,1),7637(a,1,3))]. 7640 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(58,a,4344,a(flip),b,7639,a)]. 7642 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(3272(a,2),7640(a,1,2))]. 7644 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,w,y),y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [para(7642(a,1),7609(a,1,1))]. 7645 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),w,y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [para(22(a,2),7644(a,1,2))]. 7646 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,w,y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [para(250(a,1),7645(a,1,2,1))]. 7647 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),w,y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [hyper(58,a,5979,a(flip),b,7646,a)]. 7648 T(x / T(y,z),y) * L((y \ x) \ ((y \ x) * K(y,z)),u,w) = (y \ x) * (K(z,y) * L(K(z,y) \ 1,u,w)). [para(4323(a,1),4523(a,1,2,1,2))]. 7649 (x * (y \ x)) \ (((x * (y \ x)) / (y / x)) * L(y / x,z,u)) = x \ ((x * (x / y)) * L(y / x,z,u)). [hyper(280,a,7199,a(flip),b,4904,a),flip(a)]. 7650 (x * (y \ x)) \ (((x * (y \ x)) / (y / x)) * L(y / x,z,u)) = (x / y) * L((x / y) \ 1,z,u). [hyper(280,a,2357,a(flip),b,7649,a),flip(a)]. 7651 (x * (y \ x)) \ (((x / y) * (x * (x / y))) * L(y / x,z,u)) = (x / y) * L((x / y) \ 1,z,u). [para(2052(a,1),7650(a,1,2,1))]. 7652 (x * (y \ x)) \ (((x / y) * (x * (x / y))) * L(y / x,z,u)) = (x * L(x \ y,z,u)) / y. [hyper(280,a,2255,a(flip),b,7651,a),flip(a)]. 7653 (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(4271(a,1),6141(a,1,1,2))]. 7654 (x * (y * (x \ 1))) * L(L(x,x \ 1,y),z,u) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [para(7039(a,1),7038(a,1,2,1))]. 7655 x * ((y * (x \ 1)) * L(L(x,x \ 1,y),z,u)) = (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)). [hyper(1902,a,7654,a)]. 7656 (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)) = x * (y * ((x \ 1) * L(x,z,u))). [para(559(a,1),7655(a,1,2)),flip(a)]. 7657 (x * y) * ((x \ 1) * L((x \ 1) \ 1,z,u)) = x * (y * (x \ L(x,z,u))). [para(1014(a,1),7656(a,2,2,2))]. 7658 (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). [para(1657(a,1),7657(a,1,2))]. 7659 L(x \ L(x,y,z),u,x) = x \ L(x,y,z). [hyper(2109,a,7658,a)]. 7660 (T(x,y) * T(y,x)) * (T(x,y) \ L(T(x,y),z,u)) = x * (y * (T(x,y) \ L(T(x,y),z,u))). [hyper(280,a,4373,a(flip),b,7658,a),flip(a)]. 7662 a(x,y,x \ L(x,z,u)) = 1. [hyper(48,a,7659,a)]. 7663 (x * y) * (x \ L(x,z,u)) != w | x * (y * (x \ L(x,z,u))) = w. [para(7659(a,1),263(a,1,2))]. 7664 (x * y) * T(x \ L(x,z,u),w) = x * (y * T(x \ L(x,z,u),w)). [para(7659(a,1),557(a,1,2,1))]. 7665 x \ L(x,y,z) != u | L(x \ L(x,y,z),w,x) = u. [para(7659(a,1),6735(a,1))]. 7666 a(x \ y,z,(x \ y) \ ((x \ 1) * y)) = 1. [para(680(a,1),7662(a,1,3,2))]. 7667 (x * y) * (T(x,y) \ L(T(x,y),z,u)) = x * (y * (T(x,y) \ L(T(x,y),z,u))). [para(1638(a,1),7660(a,1,1))]. 7668 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,w))) = K(x,T(y \ (z * T(x,x \ 1)),K(w,u))). [hyper(280,a,2450,a(flip),b,7495,a),flip(a)]. 7669 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * T(x,x \ 1))). [hyper(280,a,3659,a(flip),b,7668,a),flip(a)]. 7670 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * x)). [hyper(280,a,3208,a(flip),b,7669,a),flip(a)]. 7671 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(x,u))) = K(x,y \ (z * x)). [para(2897(a,1),7670(a,1,2,2))]. 7672 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = ((x * (y * (z * K(w \ 1,w)))) \ ((x * y) * z)) * K(v5 \ 1,v5). [hyper(1600,a,7630,a),flip(a)]. 7674 (x \ y) * (K(z,x) * L(K(z,x) \ 1,u,w)) = T(y / T(x,z),x) * L(K(x,z),u,w). [para(4(a,1),7648(a,1,2,1)),flip(a)]. 7676 ((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(7640(a,1),7653(a,1,1))]. 7677 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(w \ 1,w)). [hyper(280,a,2742,a(flip),b,7672,a),flip(a)]. 7678 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(4170,a,7677,a),flip(a)]. 7680 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(1465(a,1),7678(a,1,3)),flip(a)]. 7681 ((L(x,y,z) \ (L(x,y,z) / L(x,u,w))) * x) * (L(x,y,z) * (x \ L(x,u,w))) = L(T(x,x \ L(x,u,w)),y,z). [hyper(280,a,20,a,b,2741,a),flip(a)]. 7682 (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(2857(a,2),4979(a,1,1,1,2))]. 7683 (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(5295(a,1),5911(a,1,1,2))]. 7684 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(70(a,1),6231(a,1,1,2))]. 7685 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(20(a,2),7684(a,1,1))]. 7686 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(670(a,1),7685(a,1,1))]. 7687 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(70(a,1),7686(a,1,2,2,2))]. 7688 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(20(a,2),7687(a,1,2,2))]. 7689 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(670(a,1),7688(a,1,2,2))]. 7690 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(4(a,1),7689(a,1,2))]. 7692 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(7690(a,1),6377(a,1,1)),flip(a)]. 7693 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(175,a,7692,a)]. 7694 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(58,a,1778,a(flip),b,7693,a)]. 7695 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(3370(a,1),6368(a,1,1)),flip(a)]. 7696 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(280,a,4433,a(flip),b,7695,a),flip(a)]. 7698 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(280,a,4014,a(flip),b,7696,a),flip(a)]. 7699 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(3370(a,1),7698(a,1,2))]. 7700 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(58,a,4045,a(flip),b,7699,a)]. 7702 ((L(x,y,z) \ (L(x,y,z) / L(x,u,w))) * x) * (L(x,y,z) * (x \ L(x,u,w))) = L(T(x,L(x,u,w)),y,z). [para(423(a,1),7681(a,2,1))]. 7703 ((L(x,y,z) \ (L(x,y,z) / L(x,u,w))) * x) * (L(x,y,z) * (x \ L(x,u,w))) = L(x,y,z). [para(161(a,1),7702(a,2,1))]. 7704 ((L(x,y,z) \ (L(x,u,w) \ L(x,y,z))) * x) * (L(x,y,z) * (x \ L(x,u,w))) = L(x,y,z). [para(743(a,1),7703(a,1,1,1,2))]. 7705 ((L(x,y,z) \ 1) * x) * (L(x,u,w) * (x \ L(x,y,z))) = L(x,u,w). [para(7364(a,1),7704(a,1,1,1))]. 7706 (L(x,y,z) \ x) * (L(x,u,w) * (x \ L(x,y,z))) = L(x,u,w). [para(875(a,1),7705(a,1,1))]. 7708 L(L(x \ 1,y,z),u,K(w,x)) = (L(x \ 1,v5,v6) \ (x \ 1)) * (L(x \ 1,y,z) * ((x \ 1) \ L(x \ 1,v5,v6))). [hyper(280,a,4212,a,b,7706,a)]. 7709 (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(5355(a,1),7682(a,1,1,1))]. 7710 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(5708(a,1),7683(a,1,1)),flip(a)]. 7711 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(3631(a,2),7710(a,2,2))]. 7712 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(280,a,4339,a(flip),b,7711,a),flip(a)]. 7713 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(5298(a,1),7712(a,1,1))]. 7714 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(3141,a,7713,a)]. 7716 L(L(x \ 1,y,z),u,K(w,x)) = (x \ R(x,v5 \ 1,v6 \ 1)) * (L(x \ 1,y,z) * ((x \ 1) \ L(x \ 1,v5,v6))). [para(2633(a,1),7708(a,2,1))]. 7717 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). [para(2842(a,1),7709(a,1,1,1)),flip(a)]. 7718 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). [para(4509(a,1),7717(a,2,2,1))]. 7719 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). [para(2857(a,2),7718(a,2,2,1,2))]. 7720 R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(2857(a,2),7719(a,1,1,1))]. 7721 R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(3631(a,2),7720(a,1,1))]. 7722 R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5199(a,1),7721(a,1,1))]. 7723 R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5714(a,1),7722(a,1,2))]. 7724 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). [para(155(a,1),7723(a,1,2,2)),flip(a)]. 7726 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). [para(184(a,1),7724(a,2,2))]. 7727 L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). [hyper(58,a,7217,a,b,7726,a)]. 7728 L(K(x * T(y,z),x),T(y,z),z) = R(K(y * x,T(x,z)),y,z). [para(2857(a,1),7727(a,1,1))]. 7729 L(L(x \ 1,y,z),u,K(w,x)) = (x \ R(x,v5 \ 1,v6 \ 1)) * (L(x \ 1,y,z) * (x * L(x \ 1,v5,v6))). [para(1013(a,1),7716(a,2,2,2))]. 7730 L(L(x \ 1,y,z),u,K(w,x)) = (x \ R(x,v5 \ 1,v6 \ 1)) * (x * (L(x \ 1,y,z) * L(x \ 1,v5,v6))). [para(7142(a,1),7729(a,2,2))]. 7731 (x \ R(x,y \ 1,z \ 1)) * (x * (L(x \ 1,u,w) * L(x \ 1,y,z))) = L(x \ 1,u,w). [hyper(4223,a,7730,a)]. 7732 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(w,w \ 1)) / L(K(x,y),z,u). [para(4172(a,2),3256(a,2,1))]. 7733 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(4480(a,1),4513(a,2,2,1,1))]. 7734 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(4317(a,1),7733(a,2,2,1))]. 7737 (x * y) * (y * L(y \ 1,(y \ 1) \ 1,(z * (y \ 1)) \ 1)) = (x * (y * L(y \ 1,y,z \ 1))) * y. [para(378(a,1),6776(a,2,1,2,2,2))]. 7739 (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(408(a,1),6998(a,1,1))]. 7740 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(280,a,5211,a(flip),b,7739,a),flip(a)]. 7742 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(126,a,7740,a)]. 7743 (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(7742(a,1),7676(a,1,1))]. 7744 (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(6140(a,1),7743(a,1,2))]. 7745 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1726,a,7744,a)]. 7746 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(280,a,4271,a(flip),b,7745,a),flip(a)]. 7747 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(58,a,6819,a,b,7746,a)]. 7748 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(2581,a,7747,a),flip(a)]. 7749 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(5570,a,7748,a),flip(a)]. 7751 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(5550,a,7749,a),flip(a)]. 7753 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(7751(a,1),7322(a,1,1,1,2)),flip(a)]. 7754 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(280,a,7319,a(flip),b,7753,a),flip(a)]. 7755 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(7753(a,2),7320(a,1))]. 7757 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(5554,a,7754,a),flip(a)]. 7758 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(280,a,5264,a,b,7754,a),flip(a)]. 7759 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [para(5(a,1),7754(a,1,2,2)),flip(a)]. 7760 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(96(a,1),7754(a,1,2,2))]. 7761 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [hyper(58,a,5813,a,b,7759,a)]. 7763 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(5411,a,7758,a)]. 7764 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(96(a,1),7763(a,1,2,2))]. 7765 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(5296,a,7764,a)]. 7766 K(x,K(y,z * u)) * K(y,x \ ((x * z) * u)) = K(y,((x * z) * u) / x). [para(7764(a,1),5902(a,1,1))]. 7767 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(w,w \ 1),L(K(x,y),z,u)). [hyper(280,a,5484,a(flip),b,7732,a),flip(a)]. 7768 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). [hyper(280,a,3249,a(flip),b,7767,a),flip(a)]. 7770 T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). [para(5156(a,1),7768(a,1,1))]. 7772 K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). [hyper(58,a,3249,a(flip),b,7770,a)]. 7775 (x * (y \ z)) * L(L(T(y,x * T(z,y)),y \ z,x),u,w) = L((x * (y \ z)) \ (x * T(z,y)),u,w) * (x * (y \ z)). [para(20(a,2),1409(a,1,2,1))]. 7776 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(96(a,1),2154(a,1,1,1,2,2)),flip(a)]. 7777 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(280,a,1223,a(flip),b,7776,a),flip(a)]. 7778 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(280,a,2599,a(flip),b,7777,a),flip(a)]. 7779 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(1223(a,1),7778(a,1,1))]. 7780 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = (K(x,y \ 1) * z) * u. [para(3103(a,1),7778(a,2,1))]. 7781 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(3077(a,1),7780(a,1,1))]. 7782 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(30,a,96,a,b,7781,a)]. 7783 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(30,a,4064,a(flip),b,7781,a),flip(a)]. 7785 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(26(a,1),7783(a,1,2,1))]. 7786 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(378(a,1),7782(a,1,1,2)),flip(a)]. 7787 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(3295(a,1),7782(a,1,1)),flip(a)]. 7788 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(3305(a,1),7782(a,1,1)),flip(a)]. 7789 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(5067(a,1),7782(a,1,1))]. 7790 R(x,R(K(y,z),u,w),y) = x. [para(7786(a,1),2945(a,1,2))]. 7791 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(7786(a,1),4120(a,1,1,1))]. 7792 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(7790(a,1),96(a,1,1)),flip(a)]. 7793 K((K(x,y) * z) * u,x) = K(z * u,x). [para(96(a,1),7791(a,1,1))]. 7794 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6812(a,1),7791(a,1,1,1))]. 7795 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4275(a,1),7794(a,1,1)),flip(a)]. 7796 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(5449(a,1),7794(a,1,1,1))]. 7797 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7793(a,1),6337(a,1,1,2))]. 7798 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(7795(a,1),7185(a,1,1))]. 7799 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(58,a,5519,a,b,7796,a)]. 7800 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(7787(a,1),6425(a,1,2))]. 7801 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(3977,a,7788,a),flip(a)]. 7802 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(7(a,1),7801(a,2,2,1))]. 7803 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(7(a,1),7801(a,2,2,2))]. 7804 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(67(a,1),7801(a,1,1,2)),flip(a)]. 7805 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(157(a,1),7801(a,2,2))]. 7806 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(936(a,1),7801(a,1,1,2))]. 7807 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(58,a,4923,a(flip),b,7803,a),flip(a)]. 7808 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(94(a,2),7804(a,1,2))]. 7809 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(58,a,6824,a(flip),b,7808,a)]. 7810 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(4(a,1),7808(a,1,2,2)),flip(a)]. 7811 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(169(a,1),7808(a,1,2,2)),flip(a)]. 7812 K(x,R(y,K(y,z) * (y \ u),w)) = R(K(x,y),K(y,z) * u,w). [para(4031(a,1),7808(a,1,2,2))]. 7813 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(58,a,4923,a(flip),b,7810,a),flip(a)]. 7814 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(58,a,4819,a(flip),b,7810,a),flip(a)]. 7815 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(7810(a,1),22(a,2,1))]. 7816 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(7810(a,1),6533(a,1,2))]. 7817 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(7810(a,1),6823(a,1,2,1))]. 7818 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(7814(a,1),2882(a,2,2))]. 7819 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(1143(a,1),7813(a,1,2))]. 7820 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(1143(a,1),7816(a,1,2,2))]. 7821 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(3774(a,1),7817(a,1,2))]. 7822 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(4276(a,1),7817(a,1,2))]. 7823 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(4621(a,1),7817(a,1,2))]. 7824 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(280,a,2882,a,b,7818,a),flip(a)]. 7825 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(1143(a,1),7824(a,1,2))]. 7826 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(4356(a,1),7821(a,1,2))]. 7827 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(58,a,921,a,b,7809,a)]. 7828 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [para(2(a,1),7809(a,1,1))]. 7829 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 * v6 | x / v6 = v5. [para(7809(a,1),292(a,1,2))]. 7830 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(7809(a,1),3884(a,1,1)),flip(a)]. 7831 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(6804(a,1),7809(a,1,1,2)),flip(a)]. 7832 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [hyper(175,a,7827,a)]. 7833 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(124,a,7827,a)]. 7834 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [para(96(a,1),7827(a,1,2))]. 7835 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(280,a,4317,a(flip),b,7831,a),flip(a)]. 7836 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(58,a,7803,a(flip),b,7835,a)]. 7837 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(280,a,96,a(flip),b,7832,a),flip(a)]. 7838 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(7786(a,2),7832(a,2,1)),flip(a)]. 7840 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(2862(a,1),7834(a,1,2,1))]. 7841 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(2994(a,1),7834(a,1,2,1))]. 7842 ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(5772(a,2),7834(a,1,2,1))]. 7843 (K(x,y) * z) \ (z * u) = z \ ((K(y,x) * z) * u). [hyper(111,a,7837,a(flip),b,1167,a(flip)),flip(a)]. 7845 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(7837(a,1),424(a,1,1))]. 7846 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(280,a,3631,a,b,7815,a),flip(a)]. 7847 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(22(a,2),7822(a,1,2,1))]. 7848 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(1627(a,1),7822(a,1,2)),flip(a)]. 7849 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(22(a,2),7846(a,2,2))]. 7850 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(5657,a,7847,a)]. 7851 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(3631(a,2),7849(a,1,1))]. 7852 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(5(a,1),7851(a,1,2)),flip(a)]. 7853 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(2800(a,1),7851(a,1,1,2))]. 7854 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(280,a,329,a(flip),b,7852,a),flip(a)]. 7855 R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,(y * K(z,y)) \ u,w)). [para(2800(a,1),7852(a,1,2,1)),flip(a)]. 7856 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(280,a,3631,a(flip),b,7854,a),flip(a)]. 7857 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(612(a,1),7785(a,1,2,1)),flip(a)]. 7858 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(58,a,141,a(flip),b,7840,a),flip(a)]. 7859 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(R(K(z \ x,z),x,y),K(z \ x,z) * w) * R(K(z \ x,z) * K(w,K(z \ x,z)),x,y). [para(7841(a,2),7507(a,1,1))]. 7860 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(378(a,1),7789(a,1,1,2,2)),flip(a)]. 7861 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(2493(a,1),7792(a,2,2))]. 7862 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(58,a,7807,a,b,7826,a)]. 7863 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [hyper(4299,a,7838,a(flip))]. 7864 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(5260,a,7863,a)]. 7865 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(378(a,1),7863(a,1,1,1,1)),flip(a)]. 7866 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(7863(a,1),3271(a,2,2))]. 7867 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(7863(a,1),5279(a,1,1)),flip(a)]. 7868 R(K(x \ 1,y),z,u) = K(1 / R(x,z,u),y). [hyper(280,a,2448,a,b,7865,a),flip(a)]. 7869 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(58,a,7810,a(flip),b,7865,a),flip(a)]. 7870 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(58,a,7782,a(flip),b,7865,a),flip(a)]. 7871 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(97(a,1),7865(a,2,1,1))]. 7872 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(2885(a,2),7865(a,1,1))]. 7873 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(7868(a,2),2449(a,1))]. 7874 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(7863(a,1),7864(a,1,1)),flip(a)]. 7875 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(7863(a,1),7867(a,1,2)),flip(a)]. 7876 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(58,a,7874,a,b,7875,a)]. 7877 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(5277(a,1),7876(a,1,1))]. 7878 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7782(a,1),7877(a,2,2))]. 7879 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(7870(a,1),6240(a,1,1))]. 7880 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(280,a,5304,a(flip),b,7878,a),flip(a)]. 7881 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(7878(a,2),5334(a,1,1))]. 7882 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(5253(a,1),7880(a,1,1))]. 7883 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(5304(a,1),7880(a,1,1))]. 7884 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(58,a,7876,a(flip),b,7882,a)]. 7885 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(58,a,7874,a(flip),b,7882,a)]. 7886 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(58,a,7882,a(flip),b,7883,a)]. 7887 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(58,a,7877,a(flip),b,7883,a)]. 7888 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(280,a,5277,a,b,7886,a)]. 7889 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(280,a,2495,a(flip),b,7886,a),flip(a)]. 7890 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(5471(a,1),7889(a,1,2))]. 7891 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(4162(a,1),7887(a,1,2)),flip(a)]. 7892 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(280,a,5353,a(flip),b,7888,a),flip(a)]. 7893 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(3631(a,2),7845(a,2,1))]. 7894 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(7871(a,1),96(a,1,1))]. 7895 ((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(5727(a,1),7893(a,2,1))]. 7896 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(5787,a,7820,a)]. 7897 K(x,K(y,(z / x) \ u)) != w | K(x,K(y,z \ (u * x))) = w. [para(7896(a,1),5400(a,1))]. 7898 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(3566(a,1),7881(a,1,1,1,2)),flip(a)]. 7899 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(7877(a,1),7898(a,2,1))]. 7900 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(280,a,2888,a,b,7899,a),flip(a)]. 7901 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(5407,a,7900,a),flip(a)]. 7903 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(58,a,6334,a(flip),b,7797,a),flip(a)]. 7905 ((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(7903(a,1),6667(a,2,2,2,1,1))]. 7906 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7806(a,1),7884(a,1,2)),flip(a)]. 7907 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(7829,a,6318,a(flip))]. 7908 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(58,a,6269,a(flip),b,7858,a),flip(a)]. 7909 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(1275(a,1),7908(a,1,2))]. 7910 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(280,a,3305,a(flip),b,7909,a),flip(a)]. 7912 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(58,a,4826,a(flip),b,7910,a)]. 7913 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(1442(a,1),7910(a,1,2))]. 7914 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(6114,a,7912,a),flip(a)]. 7915 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(58,a,4897,a,b,7914,a)]. 7916 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u,y,z) \ (x \ 1)). [para(96(a,1),7914(a,1,2,2,2))]. 7917 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(7(a,1),7915(a,1,2,2,1)),flip(a)]. 7918 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(3147(a,1),7915(a,1,2,2,1))]. 7919 K(x \ 1,y / (z * (x \ 1))) != u | K(x \ 1,(z / y) \ x) = u. [para(7917(a,1),4147(a,1))]. 7920 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(662(a,1),7913(a,1,2,2))]. 7921 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4181(a,1),7853(a,1,2))]. 7922 R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,K(y,z) * (y \ u),w)). [para(4494(a,1),7855(a,2,2,2))]. 7923 K(x \ 1,R(y * (x \ 1),z,u) \ 1) != w | K(R(x,z,u) \ 1,y \ x) = w. [para(7860(a,2),7873(a,1))]. 7924 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(58,a,6240,a(flip),b,7879,a)]. 7925 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(58,a,6240,a(flip),b,7924,a),flip(a)]. 7926 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(58,a,6240,a(flip),b,7925,a)]. 7927 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(280,a,7917,a(flip),b,7918,a),flip(a)]. 7928 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(58,a,4906,a,b,7927,a)]. 7929 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(70(a,1),7928(a,2,2,2,1))]. 7930 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(58,a,7810,a(flip),b,7921,a),flip(a)]. 7931 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(2800(a,1),7930(a,1,2,1)),flip(a)]. 7932 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(2897(a,1),7931(a,1,2,2,1))]. 7933 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(7932(a,1),4317(a,1,1,2)),flip(a)]. 7934 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(7933(a,2),4343(a,1))]. 7935 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(7934,a,6816,a),flip(a)]. 7936 K(R(x,K(y,x) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(2896(a,1),7934(a,1,1,2,1))]. 7937 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(280,a,6815,a(flip),b,7935,a),flip(a)]. 7938 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(2896(a,1),7937(a,1,2,1))]. 7939 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(58,a,6817,a(flip),b,7938,a)]. 7941 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(3513(a,1),7939(a,1,1,2))]. 7942 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(6(a,1),7941(a,1,1,2)),flip(a)]. 7943 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(67(a,1),7941(a,1,1,2)),flip(a)]. 7944 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(58,a,7810,a(flip),b,7942,a),flip(a)]. 7945 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(58,a,6405,a(flip),b,7944,a),flip(a)]. 7946 K(R(x,R(y,z,u),w),R(y,z,u)) = K(x,R(R(y,x,w),z,u)). [para(26(a,1),7944(a,2,2))]. 7947 R(K(x,T(y * K(z,y),z)),u,w) = R(K(x,y),K(y,z) * u,w). [hyper(280,a,7812,a(flip),b,7922,a),flip(a)]. 7948 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(2800(a,1),7947(a,1,1,2)),flip(a)]. 7949 R(K(x,y \ z),(y \ z) * y,u) = R(K(x,y \ z),z,u). [para(2862(a,1),7948(a,1,2))]. 7950 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [hyper(58,a,7810,a(flip),b,7949,a),flip(a)]. 7951 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(1895(a,1),7950(a,2,2))]. 7952 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(3372(a,1),7842(a,1,2,1))]. 7953 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(58,a,7221,a(flip),b,7952,a),flip(a)]. 7954 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(280,a,5464,a(flip),b,7953,a),flip(a)]. 7957 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(7863(a,1),7866(a,1,1,2))]. 7959 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(7957(a,2),7809(a,1,1))]. 7961 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(58,a,3192,a(flip),b,7894,a)]. 7962 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(3192(a,1),7961(a,2,1))]. 7963 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(226,a,7962,a(flip),b,3328,a(flip)),flip(a)]. 7965 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(17(a,2),7963(a,1,2,1,1,2)),flip(a)]. 7966 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(280,a,3034,a,b,7965,a),flip(a)]. 7967 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(3449(a,1),7966(a,1,1,2)),flip(a)]. 7968 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(7967(a,1),5469(a,1,1))]. 7969 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(5084(a,1),7968(a,1,1,1,2))]. 7970 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(5047(a,1),7969(a,1,1,1,2))]. 7971 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(58,a,7761,a(flip),b,7819,a)]. 7973 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(103(a,1),7971(a,1,2)),flip(a)]. 7974 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(58,a,7823,a(flip),b,7973,a)]. 7975 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(280,a,3305,a(flip),b,7857,a),flip(a)]. 7976 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(58,a,7788,a(flip),b,7975,a)]. 7977 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(2947(a,1),7976(a,1,1))]. 7978 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(58,a,6812,a(flip),b,7977,a),flip(a)]. 7979 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(4219(a,1),7978(a,1,2,1))]. 7980 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(5327,a,7906,a)]. 7981 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(7980(a,1),5327(a,1))]. 7982 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(22(a,2),7848(a,1,2,2,2,1))]. 7983 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(4256(a,1),7970(a,1,1,1,2)),flip(a)]. 7984 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(2566(a,1),7983(a,2,1))]. 7985 K(x,T(y,T(z \ (x * u),x) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7984(a,2),5645(a,1))]. 7986 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(4(a,1),7982(a,1,2))]. 7988 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(3670(a,1),7798(a,1,2)),flip(a)]. 7989 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(280,a,7185,a(flip),b,7988,a),flip(a)]. 7991 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(103(a,1),7989(a,1,2)),flip(a)]. 7992 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(7991(a,1),7190(a,1,1))]. 7993 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(280,a,3722,a(flip),b,7992,a),flip(a)]. 7994 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(22(a,2),7799(a,1,1,2))]. 7995 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(58,a,7884,a(flip),b,7800,a)]. 7996 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(5355(a,1),7994(a,1,2))]. 7997 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(2569(a,1),7996(a,1,2))]. 7999 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(7997(a,1),6334(a,1,1,2))]. 8000 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(2869(a,1),7999(a,1,1))]. 8001 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(58,a,6569,a(flip),b,8000,a),flip(a)]. 8002 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2191(a,1),7779(a,2,1))]. 8003 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(30,a,96,a,b,8002,a),flip(a)]. 8004 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(58,a,2190,a,b,8003,a),flip(a)]. 8005 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3100(a,1),8004(a,1,1))]. 8006 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(280,a,3209,a(flip),b,8005,a),flip(a)]. 8007 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(280,a,3268,a,b,8006,a)]. 8008 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(378(a,1),8007(a,2,1,2,2))]. 8009 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3495(a,1),8008(a,1,1,2))]. 8010 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(6(a,1),8009(a,1,1,2,2))]. 8011 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(58,a,2584,a(flip),b,8010,a),flip(a)]. 8013 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(8011(a,1),3042(a,1,1))]. 8014 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3075,a,8013,a)]. 8016 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(280,a,241,a(flip),b,8014,a),flip(a)]. 8017 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(2794(a,1),8016(a,1,3))]. 8018 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(280,a,568,a(flip),b,8017,a),flip(a)]. 8019 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [hyper(894,a,8018,a)]. 8020 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(4079(a,1),8019(a,1,2))]. 8021 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(8020(a,1),223(a,1,2,1))]. 8022 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(280,a,5531,a(flip),b,8021,a),flip(a)]. 8024 (x \ K(x,y * (K(x,z) * u))) * T((x \ 1) \ K(y * (u * K(x,w)),x),v5) = K(x,T(v5,y * (K(x,z) * u))). [para(6128(a,1),8022(a,1,2,1,2))]. 8025 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(6836(a,1),7830(a,2,2))]. 8026 (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(4927(a,1),7895(a,1,1))]. 8027 (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(5433(a,1),8026(a,1,1,2))]. 8028 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(5208,a,8027,a),flip(a)]. 8029 R(K(x,y),L(y,z,u),w) = K(x,y). [para(853(a,1),8028(a,1,1,2))]. 8030 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [hyper(6548,a,8029,a)]. 8031 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(58,a,6831,a(flip),b,8029,a)]. 8032 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(4620,a,8030,a),flip(a)]. 8034 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(280,a,5088,a(flip),b,8032,a),flip(a)]. 8035 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(280,a,3720,a(flip),b,8031,a),flip(a)]. 8036 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(58,a,7262,a,b,8035,a)]. 8037 K((L(x,y,z) \ u) \ w,T(x,w)) = K((u / w) \ L(x,y,z),x). [hyper(4740,a,8036,a)]. 8038 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(5560,a,8037,a)]. 8040 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(280,a,8034,a(flip),b,8038,a),flip(a)]. 8042 K(x / (y \ z),y) = K((z / x) \ y,y). [para(322(a,1),8040(a,1,1,2,1))]. 8043 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(58,a,6294,a,b,8042,a)]. 8044 K(x / (y / z),z) = K((y / x) \ z,z). [hyper(58,a,4118,a,b,8042,a)]. 8045 K(((x * y) / z) \ y,y) = K(z / x,y). [para(6(a,1),8044(a,1,1,2)),flip(a)]. 8046 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(5664,a,8043,a)]. 8047 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(58,a,7241,a,b,8046,a)]. 8048 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(4(a,1),8047(a,1,1,1)),flip(a)]. 8049 K(((x \ 1) * y) / z,x) = K(y / (z * x),x). [hyper(58,a,8045,a(flip),b,8048,a)]. 8050 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(58,a,7192,a(flip),b,7905,a)]. 8051 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(7484,a,8050,a)]. 8054 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(6902(a,1),8051(a,2,2,2))]. 8055 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(5(a,1),8054(a,2,2,2,1))]. 8056 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(4(a,1),8055(a,2,2))]. 8058 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(280,a,7183,a(flip),b,8056,a),flip(a)]. 8059 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(58,a,7485,a(flip),b,8058,a),flip(a)]. 8061 K(x,T(y,z * (K(x,u) * w))) = (x \ K(x,z * w)) * T((x \ 1) \ K(z * (w * K(x,v5)),x),y). [para(6130(a,1),8024(a,1,1,2)),flip(a)]. 8062 K(x,T(y,z * (K(x,u) * w))) = (x \ K(x,z * w)) * T((x \ 1) \ K(z * w,x),y). [para(871(a,1),8061(a,2,2,1,2,1,2))]. 8064 K(x,T(y,z * (K(x,u) * w))) = K(x,T(y,z * w)). [hyper(280,a,8022,a(flip),b,8062,a),flip(a)]. 8065 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(2860(a,1),8064(a,1,2,2,2)),flip(a)]. 8066 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(2896(a,1),8064(a,1,2,2,2,1))]. 8067 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(4260(a,1),8064(a,1,2,2)),flip(a)]. 8068 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(3421(a,1),8066(a,1,2,2)),flip(a)]. 8069 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(4268(a,1),8066(a,1,2,2)),flip(a)]. 8070 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(4658(a,1),8068(a,1,2,2))]. 8071 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(6892(a,1),8068(a,1,2,2)),flip(a)]. 8072 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(58,a,3094,a(flip),b,8069,a),flip(a)]. 8073 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(7985,a,8070,a),flip(a)]. 8074 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(280,a,7760,a(flip),b,8067,a),flip(a)]. 8075 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(103(a,1),8074(a,1,2)),flip(a)]. 8076 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(5814,a,8073,a)]. 8077 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(5(a,1),8076(a,1,2,2,1)),flip(a)]. 8078 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(9(a,2),8076(a,1,2,2)),flip(a)]. 8079 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(280,a,5264,a,b,8077,a)]. 8080 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(58,a,5647,a(flip),b,8077,a)]. 8081 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(58,a,7253,a(flip),b,8080,a),flip(a)]. 8082 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(5(a,1),8080(a,1,2,2,2)),flip(a)]. 8083 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [para(8080(a,1),2882(a,2,2))]. 8084 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(5557,a,8082,a),flip(a)]. 8085 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(5556,a,8082,a),flip(a)]. 8087 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(280,a,2882,a,b,8083,a),flip(a)]. 8088 T(x,T(y,x \ z)) = T(x,T(y,z)). [para(4(a,1),8087(a,1,2,2)),flip(a)]. 8089 T(x,T(y,z \ x)) = T(x,T(y,z)). [hyper(5675,a,8088,a)]. 8090 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(3490(a,1),8088(a,1,2))]. 8091 T(x * y,T(z,y)) = T(x * y,T(z,x)). [para(4(a,1),8089(a,1,2,2))]. 8092 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(203(a,1),8091(a,1,2)),flip(a)]. 8093 T(x * y,T(1 / y,x)) = T(x * y,1 / y). [para(236(a,1),8090(a,1,2)),flip(a)]. 8094 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(4(a,1),8081(a,1,2,2))]. 8095 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(58,a,5764,a(flip),b,8094,a)]. 8099 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(280,a,3821,a(flip),b,8095,a),flip(a)]. 8100 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(7(a,1),8099(a,1,2,2,1)),flip(a)]. 8101 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(8100(a,1),2882(a,2,2))]. 8102 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(280,a,2882,a,b,8101,a),flip(a)]. 8103 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(58,a,7825,a(flip),b,8102,a),flip(a)]. 8104 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(6907,a,8072,a)]. 8105 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(58,a,3094,a(flip),b,8104,a),flip(a)]. 8106 K(x,y \ T(x,z)) = K(x,y \ x). [para(2888(a,2),8105(a,1,2,2))]. 8107 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(2920(a,1),8105(a,1,2,2)),flip(a)]. 8109 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(4012(a,1),8105(a,1,2,2)),flip(a)]. 8110 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(4275(a,1),8105(a,1,2,2)),flip(a)]. 8111 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6055(a,1),8105(a,1,2,2)),flip(a)]. 8112 K(x,T(y \ x,K(y,z))) = K(x,y \ x). [para(6088(a,2),8106(a,1,2))]. 8113 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(280,a,6898,a(flip),b,8107,a),flip(a)]. 8114 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(555(a,1),8111(a,1,2))]. 8115 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(2862(a,1),8111(a,1,2,2,2))]. 8116 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(280,a,6909,a(flip),b,8113,a),flip(a)]. 8117 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(58,a,7449,a(flip),b,8116,a),flip(a)]. 8118 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(29,a,5264,a,b,8079,a)]. 8119 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(5397,a,8118,a)]. 8120 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(58,a,5641,a,b,8118,a)]. 8121 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7897,a,8120,a)]. 8122 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(8121(a,1),5315(a,1,2)),flip(a)]. 8123 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(5559,a,8084,a)]. 8124 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(3844,a,8117,a)]. 8126 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(58,a,5069,a(flip),b,8124,a)]. 8127 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(58,a,4110,a,b,8126,a)]. 8128 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [para(70(a,1),8127(a,1,2,2,1)),flip(a)]. 8129 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(8128(a,1),5432(a,1,1))]. 8130 T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. [para(8128(a,1),5488(a,1,1))]. 8131 K(x,(y / z) \ x) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(8129(a,1),6144(a,1))]. 8132 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(5439(a,1),8130(a,1))]. 8133 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [hyper(8132,a,6882,a)]. 8134 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(4(a,1),8123(a,1,2,2)),flip(a)]. 8135 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(445(a,1),8133(a,1,2,1))]. 8136 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(8134(a,1),5986(a,1,1))]. 8137 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(710(a,1),8078(a,1,2,2))]. 8138 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(5564,a,8137,a),flip(a)]. 8140 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(8138(a,1),2882(a,2,2))]. 8141 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(280,a,2882,a,b,8140,a),flip(a)]. 8142 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(8141(a,1),5885(a,1,1,1))]. 8143 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(65(a,1),8103(a,1,2,2))]. 8144 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(103(a,1),8143(a,1,2)),flip(a)]. 8145 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(280,a,5267,a(flip),b,8122,a),flip(a)]. 8146 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(5487,a,8145,a)]. 8147 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(7(a,1),8146(a,1,2,2)),flip(a)]. 8148 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(8147(a,1),2894(a,1,2,1))]. 8149 T(x * L(L(y,z,y),u,w),y) = T(x,y) * L(y,u,w). [hyper(58,a,7515,a(flip),b,8092,a),flip(a)]. 8150 T(x * L(y,z,u),y) = T(x,y) * L(y,z,u). [para(542(a,1),8149(a,1,1,2,1))]. 8151 T(L(x,y,z) \ u,x) = L(x,y,z) \ T(u,x). [hyper(1102,a,8150,a),flip(a)]. 8152 T(x * y,y) \ T(x * L(y,z,u),y) = x \ ((x / y) * L(y,z,u)). [para(8150(a,2),4684(a,1,2))]. 8153 T(x \ L(y,z,u),y) = T(x,y) \ L(y,z,u). [hyper(4989,a,8151,a),flip(a)]. 8154 T(K(x,y),L(x,z,u)) * (L(x,z,u) * K(x,y)) = y * T(T(y,x) \ L(x,z,u),x). [para(8153(a,2),4932(a,2,2))]. 8155 K(x,T(y * L(z,u,w),z) \ T(y * z,z)) = K(y \ ((y / z) * L(z,u,w)),x). [para(8152(a,1),3570(a,1,1)),flip(a)]. 8156 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(5435(a,1),8136(a,1,1)),flip(a)]. 8158 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(3322,a,8142,a)]. 8159 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(58,a,7945,a,b,8158,a)]. 8160 K(a(x,y,z),x) = 1. [hyper(3287,a,8159,a),flip(a)]. 8162 T(a(x,y,z),x) = a(x,y,z). [hyper(51,a,8160,a)]. 8163 T(x,a(x,y,z)) = x. [hyper(49,a,8162,a)]. 8164 a(x,y,z) * x = x * a(x,y,z). [para(8162(a,1),101(a,1,2)),flip(a)]. 8166 a(x,y,y \ 1) * x != z | L(x,y,y \ 1) = z. [para(8164(a,2),3970(a,1))]. 8167 K(x,T(y * L(z,u,w),z) \ T(y * z,z)) != v5 | K(x,(y * L(z,u,w)) \ (y * z)) = v5. [para(8155(a,2),3829(a,1))]. 8168 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(3010,a,8148,a),flip(a)]. 8169 T(K(x,y),L(x,z,u)) * (L(x,z,u) * K(x,y)) = y * T(T(y \ L(x,z,u),x),x). [para(8153(a,2),8154(a,2,2,1))]. 8170 K(x,T(y,L(x,z,u))) * (L(x,z,u) * K(x,y)) = y * T(T(y \ L(x,z,u),x),x). [hyper(4764,a,8169,a)]. 8171 K(x,T(y,L(x,z,u))) * (L(x,z,u) * K(x,y)) != w * v5 | w \ (y * T(T(y \ L(x,z,u),x),x)) = v5. [para(8170(a,2),631(a,1))]. 8172 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(13(a,2),2186(a,2,2,1,1))]. 8173 (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1567(a,1),8172(a,1,2))]. 8174 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(4(a,1),8173(a,1,2,2,2,1,2))]. 8175 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1330(a,1),8174(a,1,2,2))]. 8176 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(562,a,8175,a),flip(a)]. 8177 L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5. [para(8175(a,1),562(a,1))]. 8178 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(58,a,7360,a,b,8176,a)]. 8179 a(L(x,y,z) \ 1,u,(u \ 1) * L(x,y,z)) = L(x * L(x \ 1,u,u \ 1),y,z). [hyper(58,a,6019,a,b,8176,a)]. 8180 L(x * L(x \ 1,y,z),u,L(x,w,v5)) = x * L(L(x,u,L(x,w,v5)) \ 1,y,z). [para(853(a,1),8176(a,1,1)),flip(a)]. 8181 L(T(x,y),z,u) * L(L(T(x,y),z,u) \ 1,w,v5) = L(T(x,y) * L(T(x \ 1,y),w,v5),z,u). [para(3611(a,2),8176(a,2,1,2,1))]. 8182 L(x,y,y \ 1) * L(y * ((x * y) \ 1),z,u) = L(x * L(x \ 1,z,u),y,y \ 1). [para(3956(a,1),8176(a,1,2,1))]. 8183 (K(x,y) * (K(y,x) / z)) * L(L(z \ 1,z,K(y,x)) \ 1,u,w) = L((z \ 1) * L((z \ 1) \ 1,u,w),z,K(y,x)). [para(4279(a,1),8176(a,1,1))]. 8184 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(6460(a,1),8176(a,1,1))]. 8185 L(T(x \ 1,y),x,z) * L(L(T(x \ 1,y),T(x,u),z) \ 1,w,v5) = L(T(x \ 1,y) * L(T(x \ 1,y) \ 1,w,v5),T(x,u),z). [para(6464(a,1),8176(a,1,1))]. 8186 L(x * L(x \ 1,y,z),u,L(x,w,v5)) = x * L(x \ 1,y,z). [para(853(a,1),8180(a,2,2,1,1))]. 8188 L(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). [hyper(58,a,2106,a(flip),b,8186,a)]. 8189 a(x,y,x * L(x \ 1,z,u)) = 1. [hyper(48,a,8188,a)]. 8190 (x * y) * (x * L(x \ 1,z,u)) = x * (y * (x * L(x \ 1,z,u))). [para(8188(a,1),86(a,1,2))]. 8192 x \ (y * (x * L(x \ 1,z,u))) = (x \ y) * (x * L(x \ 1,z,u)). [hyper(674,a,8190,a)]. 8194 ((x / ((x / y) * L((x / y) \ 1,z,u))) / y) \ x = ((x / y) \ x) * ((x / y) * L((x / y) \ 1,z,u)). [hyper(58,a,795,a,b,8192,a)]. 8196 (x \ y) * (x * L(x \ 1,z,z \ 1)) = x \ (y * a(z,z \ 1,x)). [para(3963(a,1),8192(a,1,2,2)),flip(a)]. 8197 x \ (y * a(z,z \ 1,x)) = (x \ y) * a(z,z \ 1,x). [para(3963(a,1),8196(a,1,2)),flip(a)]. 8201 a(L(x,y,z) \ 1,u,(u \ 1) * L(x,y,z)) = L(a(x \ 1,u,(u \ 1) * x),y,z). [para(6019(a,2),8179(a,2,1))]. 8206 L(a(x \ 1,y,(y \ 1) * x),z,u) = a(L(x,z,u) \ 1,y,y \ 1). [hyper(58,a,4807,a(flip),b,8201,a),flip(a)]. 8207 a(L(x,y,z) \ 1,u,u \ 1) = L(a(x \ 1,u,u \ 1),y,z). [para(4807(a,1),8206(a,1,1)),flip(a)]. 8208 a(L(x,y,z) \ 1,u,u \ 1) = L(a(u,u \ 1,x),y,z). [para(2146(a,1),8207(a,2,1))]. 8209 a(x,x \ 1,L(y,z,u)) = L(a(x,x \ 1,y),z,u). [hyper(7099,a,8208,a)]. 8210 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(6460(a,1),8184(a,1,2,1,1)),flip(a)]. 8211 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(280,a,8176,a(flip),b,8210,a),flip(a)]. 8213 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1657(a,1),8211(a,2,1))]. 8214 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1657(a,1),8213(a,1,1))]. 8215 (K(x,y) * (K(y,x) / z)) * L(L(z \ 1,z,K(y,x)) \ 1,u,w) = L(z \ L(z,u,w),z,K(y,x)). [para(1657(a,1),8183(a,2,1))]. 8216 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(15(a,2),2543(a,2,2,1,1))]. 8217 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(2177(a,1),8216(a,1,1))]. 8218 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(2001(a,1),8217(a,1,1,1))]. 8219 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(597,a,8218,a),flip(a)]. 8221 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(58,a,1823,a(flip),b,8219,a),flip(a)]. 8222 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(4336(a,1),8219(a,2,1,2,1))]. 8224 R(x * T(x \ 1,R(x,y,z)),u,w) = ((x \ 1) / (x \ R(x,u,w))) * R(x,u,w). [para(3975(a,2),8221(a,1,1,2))]. 8225 K(R(x,y,z) \ 1,R(x,u,w)) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(58,a,7872,a(flip),b,8224,a)]. 8226 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(462,a,8225,a),flip(a)]. 8227 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3832,a,8226,a)]. 8228 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(8227(a,1),3284(a,1,2,1,1))]. 8229 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(378(a,1),8228(a,1,2,1))]. 8230 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(8229(a,1),7002(a,1,2)),flip(a)]. 8231 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(280,a,2,a(flip),b,8230,a),flip(a)]. 8232 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(4283,a,8231,a)]. 8233 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(7751(a,1),8232(a,1,1))]. 8234 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(7884(a,1),8232(a,1,1))]. 8235 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(4447,a,8233,a)]. 8236 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(8001(a,1),8233(a,1,2,2))]. 8237 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(7184,a,8235,a)]. 8238 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(8235(a,1),7184(a,1))]. 8239 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7187(a,1),8236(a,1,2))]. 8240 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(4301,a,8239,a),flip(a)]. 8241 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(8239(a,1),4300(a,1)),flip(b)]. 8242 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(8238,a,8240,a)]. 8245 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(8237(a,2),8241(a,1))]. 8246 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(3631(a,2),8234(a,1,2,2,1))]. 8247 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(4271(a,1),8246(a,1,2))]. 8248 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(8247(a,1),39(a,1)),flip(a)]. 8249 (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(280,a,592,a(flip),b,7249,a),flip(a)]. 8250 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(58,a,2177,a(flip),b,8249,a)]. 8251 (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(4781(a,1),8250(a,1,1,2,1))]. 8252 (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(4782(a,1),8251(a,1,1,2,1))]. 8253 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(5475(a,1),8252(a,1,1,2,1)),flip(a)]. 8254 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(58,a,4231,a(flip),b,8253,a),flip(a)]. 8256 (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(8254(a,1),1828(a,2,1,2)),flip(a)]. 8257 (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(4271(a,1),8256(a,1,1))]. 8258 (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(6662(a,1),8257(a,1,1))]. 8259 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(296,a,8258,a)]. 8262 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(58,a,7805,a(flip),b,8259,a)]. 8263 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(280,a,3834,a(flip),b,8262,a),flip(a)]. 8265 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(58,a,7986,a(flip),b,8263,a),flip(a)]. 8267 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(100(a,1),8265(a,1,2,2,1)),flip(a)]. 8268 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(58,a,8265,a,b,8267,a)]. 8269 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(5658,a,8268,a)]. 8273 L((x * (y \ z)) \ (x * T(z,y)),u,w) * (x * (y \ z)) = x * ((y \ z) * L(T(y,x * T(z,y)),u,w)). [hyper(1176,a,7775,a),flip(a)]. 8274 x * ((y \ z) * L(T(y,x * T(z,y)),u,w)) = L(L(y,y \ z,x),u,w) * (x * (y \ z)). [para(939(a,1),8273(a,1,1,1)),flip(a)]. 8275 L(L(x,x \ y,z),u,w) * (z * (x \ y)) = z * ((x \ y) * L(T(x,z * y),u,w)). [para(4037(a,1),8274(a,1,2,2,1)),flip(a)]. 8276 T(x * ((y \ 1) * L(T(y,x * 1),z,u)),L(y,y \ 1,x)) = L(L(y,y \ 1,x),z,u) * (L(y,y \ 1,x) \ x). [para(8275(a,1),1949(a,1,1))]. 8277 T(x * ((y \ 1) * L(T(y,x),z,u)),L(y,y \ 1,x)) = L(L(y,y \ 1,x),z,u) * (L(y,y \ 1,x) \ x). [para(3(a,1),8276(a,1,1,2,2,1,2))]. 8278 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) = T(y * (x \ L(T(x,y),z,u)),L(x,x \ 1,y)). [para(1162(a,1),8277(a,1,1,2)),flip(a)]. 8279 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) != w | T(y * (x \ L(T(x,y),z,u)),x) = w. [para(8278(a,2),5682(a,1))]. 8280 L(L(x,x \ 1,y),z,u) * ((x \ 1) * y) != w | T(y * (x \ L(T(x,y),z,u)),x) = w. [para(3988(a,1),8279(a,1,2))]. 8281 L(L(x,x \ 1,y),z,u) * ((x \ 1) * y) = T(y * (x \ L(T(x,y),z,u)),x). [hyper(8280,a,xx),flip(a)]. 8282 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(3418(a,1),8178(a,2,1,2,1))]. 8283 ((L(x,y,z) \ 1) * x) \ T(((L(x,y,z) \ 1) * x) * u,w) = (x \ L(x,y,z)) * T((x \ L(x,y,z)) \ u,w). [para(1090(a,1),1458(a,2,2,1,1))]. 8284 (x * (L(x,y,z) \ 1)) \ T(((L(x,y,z) \ 1) * x) * u,w) = (x \ L(x,y,z)) * T((x \ L(x,y,z)) \ u,w). [para(1922(a,1),8283(a,1,1))]. 8285 (x * (L(x,y,z) \ 1)) \ T((x * (L(x,y,z) \ 1)) * u,w) = (x \ L(x,y,z)) * T((x \ L(x,y,z)) \ u,w). [para(1922(a,1),8284(a,1,2,1,1))]. 8286 (x \ L(x,y,z)) * T((x \ L(x,y,z)) \ u,w) = L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)). [hyper(58,a,2697,a(flip),b,8285,a),flip(a)]. 8287 (x \ L(x,y,z)) * (((x \ L(x,y,z)) \ u) * K(w,K(v5,(x \ L(x,y,z)) \ u))) = L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),K(w,v5))). [para(5309(a,2),8286(a,1,2))]. 8288 L((x \ 1) * (((x \ y) / y) \ 1),(x \ 1) \ 1,z) = z \ ((z / ((x \ 1) \ 1)) * L((x \ 1) \ 1,x \ 1,y \ 1)). [para(537(a,1),2442(a,1,1,2))]. 8289 L((x \ 1) * ((y \ (y / x)) \ 1),(x \ 1) \ 1,z) = z \ ((z / ((x \ 1) \ 1)) * L((x \ 1) \ 1,x \ 1,y \ 1)). [para(935(a,1),8288(a,1,1,2,1))]. 8290 L(((x \ (x / y)) * y) \ 1,(y \ 1) \ 1,z) = z \ ((z / ((y \ 1) \ 1)) * L((y \ 1) \ 1,y \ 1,x \ 1)). [para(512(a,1),8289(a,1,1))]. 8291 L((x * (y \ (y / x))) \ 1,(x \ 1) \ 1,z) = z \ ((z / ((x \ 1) \ 1)) * L((x \ 1) \ 1,x \ 1,y \ 1)). [para(2283(a,1),8290(a,1,1,1))]. 8292 L((x * (y \ (y / x))) \ 1,x,z) = z \ ((z / ((x \ 1) \ 1)) * L((x \ 1) \ 1,x \ 1,y \ 1)). [hyper(58,a,2095,a(flip),b,8291,a)]. 8293 L((x * (y \ (y / x))) \ 1,x,z) = z \ ((z / x) * L((x \ 1) \ 1,x \ 1,y \ 1)). [para(378(a,1),8292(a,2,2,1,2))]. 8294 L((x * (y \ (y / x))) \ 1,x,z) = z \ ((z / x) * L(x,x \ 1,y \ 1)). [para(378(a,1),8293(a,2,2,2,1))]. 8295 (x * (y \ (y / x))) \ 1 = x \ L(x,x \ 1,y \ 1). [hyper(2413,a,8294,a),flip(a)]. 8296 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * (u * K(y,(u \ (z \ x)) \ 1)). [para(3267(a,1),3068(a,2,2))]. 8297 x * ((x \ (y * z)) * K(T(u,(y \ x) \ z),x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [hyper(58,a,2822,a(flip),b,8296,a)]. 8298 x * ((x \ (y * z)) * K(u,x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [para(6363(a,1),8297(a,1,2,2))]. 8299 (x * y) * K(z,((x * y) \ u) \ 1) = x * (y * K(z,(y \ (x \ u)) \ 1)). [hyper(58,a,3267,a(flip),b,8298,a)]. 8300 L(K(x,(y \ (z \ u)) \ 1),y,z) = K(x,((z * y) \ u) \ 1). [hyper(560,a,8299,a)]. 8301 L(K(x,(y \ z) \ 1),y,u) = K(x,((u * y) \ (u * z)) \ 1). [para(4(a,1),8300(a,1,1,2,1,2))]. 8302 K(x,((y * z) \ (y * (z * u))) \ 1) = L(K(x,u \ 1),z,y). [para(4(a,1),8301(a,1,1,2,1)),flip(a)]. 8303 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(13(a,2),8302(a,1,2,1)),flip(a)]. 8304 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(58,a,3592,a(flip),b,8303,a),flip(a)]. 8305 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(378(a,1),8303(a,1,1,2)),flip(a)]. 8306 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(8304(a,1),2882(a,2,2))]. 8307 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(58,a,3438,a(flip),b,8305,a)]. 8308 R(x,L(K(x,y),z,u),w) = x. [para(8305(a,1),4222(a,1,2))]. 8309 L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(8305(a,1),3238(a,1,1))]. 8310 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(8305(a,1),8303(a,1,1)),flip(a)]. 8311 (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). [para(8308(a,1),96(a,1,1)),flip(a)]. 8312 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(5010,a,8307,a)]. 8313 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(8307(a,1),288(a,1,2))]. 8314 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(8307(a,1),384(a,1,1))]. 8315 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(8307(a,1),5273(a,1,1)),flip(a)]. 8316 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(5569,a,8312,a),flip(a)]. 8317 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(6(a,1),8312(a,1,2,2)),flip(a)]. 8318 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(90(a,1),8312(a,1,2))]. 8319 L(K(x,y),z,T(y,u)) = K(x,y). [para(852(a,1),8312(a,1,2)),flip(a)]. 8320 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(3376(a,1),8312(a,1,2,2)),flip(a)]. 8321 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(8312(a,1),3631(a,2,1))]. 8322 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(6485(a,1),8312(a,1,2))]. 8323 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(8319(a,1),86(a,1,2))]. 8324 K(x \ (T(y,z) \ u),y) != w | K((T(y,z) * x) \ u,y) = w. [para(8319(a,1),6348(a,1))]. 8325 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(6921,a,8317,a)]. 8326 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(58,a,5929,a(flip),b,8317,a)]. 8327 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(58,a,5125,a(flip),b,8317,a),flip(a)]. 8328 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(58,a,5012,a(flip),b,8317,a),flip(a)]. 8329 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(58,a,5008,a(flip),b,8317,a),flip(a)]. 8330 K(x,L(y,z,x)) != u | K(x,y) = u. [para(8317(a,1),5011(a,1))]. 8331 K(x \ 1,L(y,z,x)) = K(x \ 1,y). [para(378(a,1),8327(a,1,2,3))]. 8332 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [para(569(a,1),8327(a,1,2)),flip(a)]. 8333 T(x,L(y,z,x \ 1)) = x * K(x,y). [para(8327(a,1),2882(a,2,2))]. 8334 K(x,L(y,z,K(u,x))) = K(x,y). [para(2896(a,1),8328(a,1,2,3))]. 8335 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(8328(a,1),5277(a,1,2)),flip(a)]. 8336 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(20(a,1),8329(a,1,2))]. 8337 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [para(269(a,1),8329(a,1,2))]. 8338 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(25(a,1),8334(a,1,2))]. 8339 K(L(x,y,z),y) = K(x,y). [hyper(280,a,5162,a(flip),b,8326,a),flip(a)]. 8340 K(x \ 1,L(y,x,z)) = K(y,x). [hyper(3728,a,8339,a)]. 8344 K(x \ 1,T((x * y) \ z,u)) = K(x \ 1,T(y \ (x \ z),u)). [para(626(a,1),8331(a,1,2))]. 8345 T(x,L(y,z,x \ 1)) = T(x,y). [hyper(280,a,2882,a,b,8333,a),flip(a)]. 8346 T(x,((x \ 1) \ y) \ z) = T(x,y \ ((x \ 1) * z)). [para(569(a,1),8345(a,1,2)),flip(a)]. 8347 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(4(a,1),8322(a,1,2,2)),flip(a)]. 8348 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(70(a,1),8322(a,1,2,2)),flip(a)]. 8349 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8347(a,1),86(a,1,2))]. 8351 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(5915,a,8315,a),flip(a)]. 8352 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8315(a,1),5915(a,1))]. 8353 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(546,a,8348,a),flip(a)]. 8354 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(280,a,5277,a,b,8351,a),flip(a)]. 8355 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(58,a,8168,a,b,8351,a)]. 8356 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(58,a,5918,a(flip),b,8351,a)]. 8357 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(8351(a,2),5286(a,1,2))]. 8358 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(280,a,5837,a(flip),b,8354,a),flip(a)]. 8359 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(280,a,5831,a,b,8356,a),flip(a)]. 8360 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(8348(a,1),8356(a,1,2)),flip(a)]. 8361 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(8317(a,1),8359(a,1,2)),flip(a)]. 8362 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(280,a,2882,a,b,8306,a),flip(a)]. 8363 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(280,a,6048,a(flip),b,8362,a),flip(a)]. 8364 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(5009(a,2),8314(a,1))]. 8365 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(67(a,1),8318(a,1,2,1,2)),flip(a)]. 8366 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(428(a,1),8318(a,1,2,1,2))]. 8367 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(8317(a,1),8325(a,1,1))]. 8368 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(58,a,8114,a(flip),b,8338,a)]. 8369 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(90(a,1),8364(a,1,2))]. 8370 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(58,a,3126,a(flip),b,8365,a),flip(a)]. 8371 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(5(a,1),8365(a,2,2,1))]. 8372 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(5(a,1),8365(a,2,2,2))]. 8373 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(5(a,1),8370(a,1,2,1)),flip(a)]. 8374 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(5(a,1),8370(a,1,2,2))]. 8375 K(x,(1 / y) * x) = K(x,y \ x). [para(152(a,1),8370(a,1,2))]. 8376 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [hyper(58,a,5086,a,b,8375,a)]. 8377 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(58,a,8135,a(flip),b,8373,a),flip(a)]. 8378 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(5181,a,8373,a(flip)),flip(a)]. 8380 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(936(a,2),8378(a,1,2,1))]. 8381 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(58,a,5929,a(flip),b,8371,a)]. 8382 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(58,a,5209,a(flip),b,8371,a)]. 8383 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(58,a,5081,a(flip),b,8371,a),flip(a)]. 8384 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(8371(a,1),86(a,1,2))]. 8385 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(4137,a,8323,a),flip(a)]. 8386 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(280,a,8109,a(flip),b,8337,a),flip(a)]. 8388 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(6264,a,8357,a)]. 8389 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(1021,a,8388,a),flip(a)]. 8390 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(5840,a,8361,a)]. 8391 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(8374(a,1),3802(a,1,1))]. 8392 K(x,y \ x) != z | K(((1 / y) * x) * y,(1 / y) * x) = z. [para(8376(a,1),3996(a,1))]. 8393 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(4439(a,2),8385(a,1,2))]. 8394 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(58,a,5839,a(flip),b,8390,a),flip(a)]. 8395 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(2266(a,1),8393(a,1,2)),flip(a)]. 8396 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(2299(a,1),8393(a,1,2)),flip(a)]. 8397 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(4271(a,1),8372(a,1,1,2))]. 8398 (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). [para(8309(a,1),5157(a,1,1))]. 8399 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(5437(a,1),8316(a,1,1)),flip(a)]. 8400 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [para(6(a,1),8399(a,1,2,2)),flip(a)]. 8401 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(3380(a,1),8399(a,1,2,2)),flip(a)]. 8403 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(280,a,8312,a(flip),b,8401,a),flip(a)]. 8404 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(8403(a,1),6604(a,1,2))]. 8405 T(x * (y * K(z,u)),L(K(u,z),y,x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(8403(a,1),7277(a,1,2))]. 8406 K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). [para(8403(a,2),8315(a,2,1)),flip(a)]. 8407 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(4283,a,8404,a)]. 8408 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(3698,a,8404,a)]. 8409 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(58,a,6410,a,b,8404,a)]. 8410 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(8404(a,1),6613(a,1,1)),flip(a)]. 8411 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(8404(a,1),8282(a,2,1))]. 8412 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(8303(a,1),8404(a,1,2))]. 8414 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(8407(a,1),4300(a,1,2)),flip(b)]. 8415 L(K(x * y,y),x,z) = 1 / K(y,x * y). [hyper(112,a,3124,a(flip),b,8408,a),flip(a)]. 8416 L(K(x,y),z,u) * w != a(u,z,K(y,x)) | K(y,x) = w. [para(8408(a,1),38(a,1)),flip(a)]. 8417 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(8317(a,1),8408(a,1,1))]. 8418 L(K(x * y,y),x,z) = K(x * y,y). [hyper(280,a,3417,a(flip),b,8415,a),flip(a)]. 8419 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(8418(a,1),7592(a,1,1)),flip(a)]. 8420 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(4999(a,1),8414(a,1,2))]. 8421 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(58,a,8400,a(flip),b,8320,a),flip(a)]. 8423 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(3647(a,1),8421(a,1,2,2))]. 8424 K(x,(x / L(y,z,u)) * y) = K(x,L(y,z,u) \ y). [hyper(58,a,5178,a(flip),b,8377,a),flip(a)]. 8425 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1916(a,1),8377(a,1,2)),flip(a)]. 8426 (((x * (y * z)) / z) \ (x * y)) * K(x * y,L(z,y,x) \ z) = (((x * y) / L(z,y,x)) * z) / (x * y). [para(8424(a,1),3009(a,1,2))]. 8427 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(8131,a,8380,a)]. 8428 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(58,a,7974,a(flip),b,8382,a),flip(a)]. 8429 K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). [hyper(280,a,5273,a,b,8406,a),flip(a)]. 8430 K(L(K(x,y),z * K(y,u),w),v5) != v6 | K(x,K(v5,L(y,z,w))) = v6. [para(8406(a,2),5916(a,1))]. 8431 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(8324,a,6847,a)]. 8432 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8431(a,1),5281(a,2,2))]. 8433 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(280,a,5281,a(flip),b,8432,a),flip(a)]. 8434 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(280,a,8119,a(flip),b,8433,a),flip(a)]. 8435 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(5324,a,8434,a)]. 8436 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(7600(a,1),8435(a,1,2,2))]. 8437 K(x,L(y,z,L(x,u,w))) = K(x,y). [hyper(29,a,5028,a,b,8349,a),flip(a)]. 8438 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(29,a,602,a,b,8349,a),flip(a)]. 8440 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(5034(a,1),8349(a,2,2))]. 8441 K(1 / x,x) / L(x,y,z) = 1 / T(L(x,y,z),1 / x). [hyper(112,a,8438,a(flip),b,2973,a(flip))]. 8442 1 / T(L(x,y,z),1 / x) = L(x,y,z) \ 1. [hyper(58,a,463,a(flip),b,8441,a),flip(a)]. 8444 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [hyper(753,a,8442,a(flip))]. 8445 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(8444(a,1),18(a,1,1)),flip(a)]. 8446 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(6395,a,8363,a)]. 8447 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(58,a,8144,a,b,8446,a)]. 8448 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(58,a,4103,a(flip),b,8447,a)]. 8449 T(x,y \ ((x \ 1) * z)) = T(x,y \ (x \ z)). [hyper(58,a,8346,a(flip),b,8448,a)]. 8450 (x * T(y,z \ (y \ u))) / T(x,y) = T(y,T(z \ ((y \ 1) * u),x)). [para(8449(a,1),5795(a,1,1,2))]. 8451 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(555(a,1),8381(a,2,2))]. 8452 K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). [hyper(8392,a,8373,a)]. 8454 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(280,a,2829,a,b,8409,a)]. 8455 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(1275(a,2),8440(a,2,2))]. 8456 K(x \ 1,T((x * y) \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ ((x \ 1) * z),u)). [para(369(a,1),8344(a,2,2,1,2))]. 8457 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8352,a,8355,a)]. 8458 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(60(a,1),8383(a,2,1))]. 8459 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(1818(a,1),8383(a,2,1))]. 8460 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(8458(a,1),5349(a,1,2)),flip(a)]. 8461 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(5101,a,8384,a)]. 8462 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(29,a,7462,a,b,8384,a)]. 8464 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(5671,a,8461,a),flip(a)]. 8465 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(5571,a,8464,a)]. 8466 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(58,a,6881,a,b,8465,a)]. 8467 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(5(a,1),8465(a,1,2,1)),flip(a)]. 8468 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(8132,a,8466,a),flip(a)]. 8469 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(4148,a,8467,a)]. 8470 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(58,a,5498,a,b,8468,a)]. 8472 K(x,((x * y) / z) \ x) = K(x,z / y). [para(4(a,1),8468(a,1,2,2)),flip(a)]. 8473 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(6(a,1),8469(a,1,2,2))]. 8474 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(5526,a,8473,a)]. 8476 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(8473(a,1),4317(a,1,1,2))]. 8488 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(4343,a,8476,a),flip(a)]. 8489 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(3235(a,1),8412(a,1,1))]. 8490 K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). [para(3234(a,1),8429(a,2,1,1))]. 8491 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(6536(a,1),8457(a,1,2))]. 8492 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [hyper(5368,a,8389,a)]. 8493 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(3776(a,2),8397(a,2,2,1))]. 8494 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(3792(a,2),8397(a,2,2,1))]. 8495 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(8391(a,1),3803(a,1))]. 8496 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(280,a,2545,a(flip),b,8395,a),flip(a)]. 8497 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(280,a,2534,a(flip),b,8396,a),flip(a)]. 8498 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(4(a,1),8497(a,1,1,2,1)),flip(a)]. 8499 T(x,T(y \ ((x \ 1) * z),u)) = T(x,T(y \ (x \ z),u)). [hyper(58,a,5795,a(flip),b,8450,a),flip(a)]. 8500 K(x,T(y \ ((x \ 1) * z),u)) = x \ T(x,T(y \ (x \ z),u)). [hyper(111,a,8499,a(flip),b,2882,a(flip)),flip(a)]. 8501 K(x,T(y \ ((x \ 1) * z),u)) = K(x,T(y \ (x \ z),u)). [hyper(280,a,2890,a,b,8500,a),flip(a)]. 8502 K(x \ 1,T(y \ ((x \ 1) \ z),u)) = K(x \ 1,T(y \ (x * z),u)). [hyper(58,a,7289,a(flip),b,8501,a),flip(a)]. 8503 K(x \ 1,T(y \ (x * ((x \ 1) * z)),u)) = K(x \ 1,T(y \ z,u)). [para(4(a,1),8502(a,1,2,1,2)),flip(a)]. 8504 K(x \ 1,T(y \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ z,u)). [para(241(a,1),8503(a,1,2,1,2))]. 8506 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(58,a,6120,a(flip),b,8368,a),flip(a)]. 8508 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(13(a,2),8506(a,2,2))]. 8509 K(x,L(y,T(z,x),u)) = K(x,L(y,z,u)). [para(2043(a,2),8508(a,1,2,2))]. 8510 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(2897(a,1),8508(a,1,2,2,1))]. 8511 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(4271(a,2),8508(a,1,2,2))]. 8512 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(8510(a,1),4321(a,1,2,2)),flip(a)]. 8513 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(280,a,4321,a(flip),b,8512,a),flip(a)]. 8514 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(2964(a,1),8513(a,1,1,2)),flip(a)]. 8515 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(6543(a,1),8394(a,1,2))]. 8516 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(58,a,8491,a(flip),b,8515,a)]. 8517 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(58,a,5839,a(flip),b,8516,a),flip(a)]. 8518 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(5296,a,8517,a)]. 8519 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(58,a,6901,a(flip),b,8518,a)]. 8520 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(280,a,7890,a(flip),b,8519,a),flip(a)]. 8522 K(x,K(y,a(z,x,u))) = 1. [para(212(a,1),8520(a,1,2,2,3))]. 8524 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(8522(a,1),5255(a,1,2)),flip(a)]. 8525 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(280,a,3,a(flip),b,8524,a),flip(a)]. 8526 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(4797,a,8525,a)]. 8527 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(8526(a,1),101(a,1,2)),flip(a)]. 8529 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(280,a,7503,a(flip),b,8452,a),flip(a)]. 8530 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(4(a,1),8496(a,1,1,2,1))]. 8531 R(x,y,z) * T(R(u,w,u),R(u,v5,u) * x) = T(u * R(x,y,z),u * x). [hyper(58,a,7590,a,b,8530,a)]. 8532 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(4(a,1),8498(a,1,1,2,1)),flip(a)]. 8533 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(58,a,7580,a(flip),b,8532,a),flip(a)]. 8534 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) != w | K(x * L(y,z,u),x * y) = w. [para(8533(a,1),2900(a,1,2))]. 8535 R(x,y,z) * R(T(u,x * R(u,w,u)),w,u) = T(u * R(x,y,z),u * x). [para(781(a,2),8531(a,1,2))]. 8536 R(x,y,z) * R(T(u,x * u),w,u) = T(u * R(x,y,z),u * x). [para(900(a,1),8535(a,1,2,1,2,2))]. 8538 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(1035(a,1),8536(a,1,2)),flip(a)]. 8539 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) != w | K(x * y,x * R(y,z,u)) = w. [para(8538(a,1),2971(a,1,2))]. 8540 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1814(a,1),8427(a,1,2,1))]. 8541 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(160(a,1),8540(a,1,2,2))]. 8542 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(5659,a,8541,a)]. 8543 T(x * (y * K(z,u)),K(z,L(u,y,x))) = L(K(u,z),y / K(u,z),x) \ (x * y). [hyper(58,a,8388,a(flip),b,8405,a)]. 8545 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). [hyper(8430,a,8490,a),flip(a)]. 8546 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). [hyper(280,a,5836,a(flip),b,8545,a),flip(a)]. 8547 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). [para(6409(a,1),8546(a,1,1,1)),flip(a)]. 8548 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). [para(3418(a,1),8547(a,2,1))]. 8549 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). [hyper(280,a,5254,a(flip),b,8548,a),flip(a)]. 8550 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(280,a,5283,a(flip),b,8549,a),flip(a)]. 8551 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(58,a,6323,a(flip),b,8543,a),flip(a)]. 8552 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T((x * y) \ z,u)). [hyper(58,a,8504,a(flip),b,8456,a),flip(a)]. 8553 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T(y \ (x \ z),u)). [hyper(280,a,8344,a(flip),b,8552,a),flip(a)]. 8554 K((x \ 1) \ 1,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(58,a,7671,a(flip),b,8553,a),flip(a)]. 8555 K(x,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(3734,a,8554,a)]. 8556 K(x,y \ ((x \ 1) \ z)) = K(x,y \ (z * x)). [hyper(3861,a,8555,a)]. 8557 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(3566(a,1),8493(a,1,1,2,1))]. 8558 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(58,a,8397,a(flip),b,8557,a),flip(a)]. 8559 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(3776(a,1),8558(a,1,2,1))]. 8560 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(3582(a,1),8559(a,1,2,1,2)),flip(a)]. 8561 (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). [para(7772(a,1),8398(a,1,2))]. 8562 K(x,x \ 1) / (L(K(y,z),u,w) / z) = z * L(K(z,y),u,w). [hyper(58,a,1766,a,b,8561,a)]. 8565 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). [hyper(58,a,4543,a(flip),b,8562,a)]. 8566 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(4(a,1),8451(a,1,2,1))]. 8568 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,2),8566(a,1,2))]. 8569 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(6051,a,8568,a)]. 8570 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(280,a,5057,a(flip),b,8569,a),flip(a)]. 8572 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(5(a,1),8570(a,2,2,2))]. 8573 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(7(a,1),8570(a,1,1,2)),flip(a)]. 8574 K(L(x,T(y * (x \ z),y),u),R(y,w,y)) = K(x,L(R(y,w,y),z,u)). [para(1029(a,1),8572(a,1,1,2))]. 8575 L(x,K(y,L(z,u,w)),T(z,v5)) = x. [para(8572(a,1),4225(a,1,2))]. 8576 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(8573(a,1),4040(a,1,2,2))]. 8577 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(8573(a,1),4120(a,1,1,1))]. 8578 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [para(8573(a,1),8069(a,1,2,2,1))]. 8579 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(8576(a,1),2980(a,1,1,1)),flip(a)]. 8580 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(5792(a,1),8577(a,1,1))]. 8581 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(2796(a,1),8578(a,1,2,2))]. 8582 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(20(a,2),8580(a,1,1,2))]. 8583 K(x * L(T(y,z),u,w),y) = K(x,y). [hyper(280,a,3715,a(flip),b,8582,a),flip(a)]. 8585 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(280,a,5992,a(flip),b,8581,a),flip(a)]. 8587 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(172(a,1),8585(a,1,2,2)),flip(a)]. 8588 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(58,a,8065,a(flip),b,8587,a)]. 8589 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(5(a,1),8588(a,1,2,2,2)),flip(a)]. 8590 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,w,y),z,u)). [hyper(3315,a,8574,a)]. 8592 K(L(x,y * (x \ z),u),y) = K(x,L(R(y,w,y),z,u)). [hyper(58,a,8514,a(flip),b,8590,a)]. 8593 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(280,a,2980,a(flip),b,8579,a),flip(a)]. 8594 K(x * K(y,z),L(y,u,w)) = K(x,L(y,u,w)). [para(322(a,1),8593(a,1,1,2,1))]. 8595 K(x * T(y,z),L(z,u,w)) = K(x * y,L(z,u,w)). [para(4326(a,1),8594(a,1,1)),flip(a)]. 8596 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(8310(a,1),8489(a,1,2))]. 8597 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(3235(a,1),8596(a,2,3))]. 8598 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(7(a,1),8454(a,2,1))]. 8599 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(280,a,4399,a,b,8598,a)]. 8600 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(5056(a,1),8551(a,2,2))]. 8601 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(280,a,6096,a(flip),b,8600,a),flip(a)]. 8602 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(4323(a,1),8601(a,1,1,2))]. 8603 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(8403(a,1),8602(a,1,1))]. 8605 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(8307(a,1),8411(a,1,2,2,2,1))]. 8606 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(58,a,7360,a(flip),b,8605,a)]. 8607 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(58,a,8597,a(flip),b,8606,a)]. 8608 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(3126(a,1),8607(a,1,3)),flip(a)]. 8609 a(x,y,a(z,u,K(y,w))) = 1. [hyper(48,a,8608,a)]. 8610 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(5437(a,1),8609(a,1,3,3))]. 8611 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(4146,a,8529,a)]. 8612 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [para(376(a,1),8611(a,1,1,1,1))]. 8613 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(3852,a,8612,a)]. 8614 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(241(a,1),8613(a,1,1))]. 8615 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [hyper(5005,a,8614,a)]. 8616 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [hyper(58,a,6131,a(flip),b,8615,a)]. 8617 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(4(a,1),8616(a,1,2,2))]. 8618 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [hyper(5459,a,8617,a)]. 8619 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). [hyper(5972,a,8618,a)]. 8620 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(280,a,8470,a(flip),b,8619,a),flip(a)]. 8621 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(4(a,1),8620(a,1,2,1,1)),flip(a)]. 8622 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [para(420(a,1),8621(a,1,2,1))]. 8623 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(58,a,8472,a(flip),b,8622,a),flip(a)]. 8624 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(4746,a,8623,a),flip(a)]. 8625 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(58,a,7850,a(flip),b,8624,a)]. 8626 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(8625(a,2),5564(a,1))]. 8627 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(58,a,8335,a(flip),b,8436,a),flip(a)]. 8628 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(5296,a,8627,a)]. 8630 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8386(a,1),8628(a,1,2))]. 8631 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [para(5173(a,1),8630(a,1,2))]. 8632 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(4271(a,1),8455(a,1,1,2,2))]. 8633 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(4070(a,1),8632(a,1,1,2))]. 8634 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8511(a,1),8633(a,1,2))]. 8635 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8322(a,1),8634(a,1,2))]. 8637 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(4271(a,1),8635(a,2,2,1,1))]. 8638 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(5357(a,1),8637(a,2,2,1))]. 8639 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(6086(a,2),8638(a,2,2))]. 8640 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(7(a,1),8639(a,2,2,1))]. 8641 ((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(8640(a,1),3278(a,1,1,2))]. 8642 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(5947(a,1),5950(a,1,1,2,1,1)),flip(a)]. 8643 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(4(a,1),8642(a,2,1,2,1))]. 8645 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(5947(a,1),8643(a,1,1)),flip(a)]. 8646 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(3697(a,1),8645(a,2,2))]. 8647 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(58,a,7907,a,b,8646,a)]. 8648 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(287,a,8647,a),flip(a)]. 8649 (K(x,y) \ (K(x,y) * (z / L(y,u,w)))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(4213(a,1),6630(a,1,1,2))]. 8650 x \ (((x / K(y,z)) * (K(y,z) * (u * K(z,y)))) / (u * K(z,y))) = (x * (u * K(z,y))) \ ((x * K(z,y)) * T(u,K(y,z))). [para(4323(a,1),6949(a,2,2,1))]. 8651 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) / (K(w,x) \ 1). [para(4(a,1),8649(a,1,1)),flip(a)]. 8652 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [hyper(280,a,4349,a(flip),b,8651,a),flip(a)]. 8654 (L(x,y,z) * ((L(x,y,z) \ u) * K(w,x))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [para(4349(a,1),8652(a,1,1,2))]. 8655 (x * K(y,z)) / L(z,u,w) = (x / L(z,u,w)) * K(y,z). [para(5214(a,1),8654(a,1,1))]. 8657 (((x * L(y,z,u)) / L(y,z,u)) * K(w,y)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(8655(a,1),7410(a,1,1))]. 8658 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = (x * K(w,y)) * K(y,w). [para(6(a,1),8657(a,1,1,1)),flip(a)]. 8659 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = x. [hyper(280,a,4324,a(flip),b,8658,a),flip(a)]. 8661 (x * L(y,z,u)) * T(K(w,y),L(y,z,u)) = x * (K(w,y) * L(y,z,u)). [para(8659(a,1),594(a,1,1)),flip(a)]. 8662 (x * (K(y,z) * L(z,u,w))) \ (x * (K(y,z) * L(z,u,w))) = a(x,L(z,u,w),T(K(y,z),L(z,u,w))). [hyper(111,a,8661,a(flip),b,822,a)]. 8664 a(x,L(y,z,u),T(K(w,y),L(y,z,u))) = 1. [hyper(196,a,8662,a),flip(a)]. 8666 a(x,L(y,z,u),K(w,y)) = 1. [para(2578(a,1),8664(a,1,3))]. 8667 L(K(x,y),L(y,z,u),w) = K(x,y). [hyper(47,a,8666,a)]. 8670 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(58,a,5081,a(flip),b,8667,a),flip(a)]. 8671 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(58,a,8034,a(flip),b,8670,a),flip(a)]. 8673 x \ (((x / K(y,z)) * (K(y,z) * (u * K(z,y)))) / (u * K(z,y))) = (x * (u * K(z,y))) \ ((x * K(z,y)) * T(u,K(z,y))). [para(5355(a,1),8650(a,2,2,2))]. 8674 x \ (((x / K(y,z)) * (K(y,z) * (u * K(z,y)))) / (u * K(z,y))) = a(x,K(z,y),T(u,K(z,y))). [hyper(280,a,215,a(flip),b,8673,a),flip(a)]. 8675 ((x * y) * (z * L(z \ ((x * y) \ (y * z)),u,w))) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(1567(a,1),2115(a,1,1))]. 8676 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(1454(a,1),2665(a,2,1,2))]. 8677 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(2759(a,1),8676(a,2,1))]. 8678 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(8018(a,1),8677(a,1,2,2,1,2))]. 8679 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(494(a,1),8678(a,1,2)),flip(a)]. 8681 (T(x,y) * (K(z,x) * u)) / u = K(z,x) * T(x,y). [hyper(112,a,7306,a,b,8679,a)]. 8682 x / (K(y,z) * (T(y,u) \ x)) = K(z,y) * T(y,u). [hyper(58,a,4307,a(flip),b,8681,a)]. 8683 ((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = ((x * (x \ y)) \ 1) * L(((x \ 1) \ 1) * (x \ y),z,u). [para(512(a,1),6170(a,2,1))]. 8684 ((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = (y \ 1) * L(((x \ 1) \ 1) * (x \ y),z,u). [para(5(a,1),8683(a,2,1,1))]. 8686 ((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = (y \ 1) * L(x * (x \ y),z,u). [para(378(a,1),8684(a,2,2,1,1))]. 8687 ((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = (y \ 1) * L(y,z,u). [para(5(a,1),8686(a,2,2,1))]. 8688 ((x \ y) \ 1) * ((x \ 1) * L(y * a(x \ 1,x,y),z,u)) = y \ L(y,z,u). [hyper(280,a,1014,a(flip),b,8687,a),flip(a)]. 8689 ((x \ y) \ 1) * ((x \ 1) * L((x \ 1) \ (x \ y),z,u)) = y \ L(y,z,u). [para(6166(a,1),8688(a,1,2,2,1))]. 8690 ((x \ y) \ 1) * (x \ (1 * L(1 \ y,z,u))) = y \ L(y,z,u). [para(2183(a,1),8689(a,1,2))]. 8691 ((x \ y) \ 1) * (x \ (1 * L(y,z,u))) = y \ L(y,z,u). [para(60(a,1),8690(a,1,2,2,2,1))]. 8692 ((x \ y) \ 1) * (x \ L(y,z,u)) = y \ L(y,z,u). [para(2(a,1),8691(a,1,2,2))]. 8693 (x \ L(x,y,z)) / (u \ L(x,y,z)) = (u \ x) \ 1. [hyper(123,a,8692,a)]. 8694 ((x \ y) \ 1) \ (y \ L(y,z,u)) = x \ L(y,z,u). [hyper(115,a,8692,a)]. 8695 ((x \ L(y,z,u)) \ 1) * (x \ y) = (y \ L(y,z,u)) \ 1. [para(8692(a,1),528(a,1,1)),flip(a)]. 8696 (((x \ 1) \ y) \ 1) * (x * y) = y \ L(y,x,x \ 1). [para(677(a,1),8692(a,1,2))]. 8697 (x \ L(x,y,z)) * (L(x,y,z) \ L(x,u,w)) = x \ L(x,u,w). [para(1262(a,1),8692(a,1,1))]. 8698 (((x \ 1) \ y) \ 1) * (x * y) = a(y,x,x \ 1). [hyper(280,a,3955,a(flip),b,8696,a),flip(a)]. 8700 ((x \ 1) \ y) \ L((x \ 1) \ y,x,x \ 1) = a(y,x,x \ 1). [hyper(58,a,7057,a,b,8698,a)]. 8701 ((x \ L(y,z,u)) \ 1) * (x \ y) = L(y,z,u) \ y. [hyper(280,a,1263,a(flip),b,8695,a),flip(a)]. 8703 T(x \ L(x,y,z),L(x,y,z) \ L(x,u,w)) = x \ L(x,y,z). [hyper(226,a,8697,a,b,2768,a)]. 8705 ((x \ 1) \ y) \ (x * y) = a(y,x,x \ 1). [para(7044(a,1),8700(a,1,2))]. 8706 T(x \ L(x,y,z),x \ L(x,u,w)) = x \ L(x,y,z). [hyper(58,a,5194,a(flip),b,8703,a)]. 8707 T(x \ L(x,y,z),L(x,u,w) \ x) = x \ L(x,y,z). [hyper(3750,a,8706,a)]. 8708 T(L(x,y,z) \ x,x \ L(x,u,w)) = L(x,y,z) \ x. [hyper(49,a,8707,a)]. 8709 T(L(x \ 1,x,y) \ (x \ 1),(x \ 1) \ L(x \ 1,z,u)) = (y \ (y / x)) \ (x \ 1). [para(336(a,1),8708(a,2,1))]. 8710 (x \ L(x,y,z)) * (L(x,u,w) \ x) = L(x,u,w) \ L(x,y,z). [para(8708(a,1),2305(a,1,2))]. 8711 L(L(x,y,z) \ x,x \ L(x,u,w),x) = L(x,u,w) \ (x * (L(x,y,z) \ L(x,u,w))). [para(8710(a,1),87(a,1,2,2)),flip(a)]. 8713 T(x \ R(x,x \ 1,y \ 1),(x \ 1) \ L(x \ 1,z,u)) = (y \ (y / x)) \ (x \ 1). [para(2633(a,1),8709(a,1,1))]. 8714 L(L(x,y,z) \ x,x \ L(x,u,w),x) = x * (L(x,u,w) \ (L(x,y,z) \ L(x,u,w))). [hyper(280,a,1916,a(flip),b,8711,a),flip(a)]. 8715 T(x \ L(x,x \ 1,y \ 1),(x \ 1) \ L(x \ 1,z,u)) = (y \ (y / x)) \ (x \ 1). [para(3990(a,1),8713(a,1,1,2))]. 8716 L(L(x,y,z) \ x,x \ L(x,u,w),x) = x * (L(x,y,z) \ 1). [para(7364(a,1),8714(a,2,2))]. 8717 L(L(x,y,z) \ x,x \ L(x,u,w),x) != v5 | L(x,y,z) \ x = v5. [para(8716(a,2),1930(a,1))]. 8719 T(x \ L(x,x \ 1,y \ 1),x * L(x \ 1,z,u)) = (y \ (y / x)) \ (x \ 1). [para(1013(a,1),8715(a,1,2))]. 8720 T(x \ L(x,x \ 1,y \ 1),x * L(x \ 1,z,u)) = L(x \ 1,x,y) \ (x \ 1). [para(336(a,2),8719(a,2,1))]. 8721 T(x \ L(x,x \ 1,y \ 1),x * L(x \ 1,z,u)) = x \ R(x,x \ 1,y \ 1). [hyper(280,a,2633,a(flip),b,8720,a),flip(a)]. 8722 T(x \ L(x,x \ 1,y \ 1),x * L(x \ 1,z,u)) = x \ L(x,x \ 1,y \ 1). [para(3990(a,1),8721(a,2,2))]. 8723 (x \ (x / y)) \ (y \ 1) = y \ L(y,y \ 1,x \ 1). [hyper(58,a,8719,a(flip),b,8722,a)]. 8724 x \ L(x,x \ 1,y \ 1) = a(y,x,x \ 1). [hyper(58,a,7179,a(flip),b,8723,a),flip(a)]. 8725 (x * (y \ (y / x))) \ 1 = a(y,x,x \ 1). [hyper(58,a,8295,a,b,8724,a)]. 8726 (x * y) \ L(x * y,y,x) = a(x,y,y \ 1). [hyper(58,a,2289,a,b,8725,a)]. 8727 x * (y \ (y / x)) = a(x,x \ 1,y). [hyper(34,a,7070,a,b,8725,a),flip(a)]. 8728 (x \ (x / y)) * y = a(y,y \ 1,x). [hyper(2284,a,8727,a)]. 8729 x * L(x \ 1,x,y) = a(x,x \ 1,y). [hyper(58,a,353,a,b,8727,a)]. 8730 a(x \ 1,(x \ 1) \ 1,y) = x \ (y \ (y / (x \ 1))). [hyper(58,a,3992,a(flip),b,8727,a),flip(a)]. 8731 T(x,a(y,y \ 1,z)) = x. [para(8727(a,1),6433(a,1,2))]. 8732 a(x,x \ 1,y) \ 1 = y \ L(y,x,x \ y). [para(8727(a,1),6700(a,1,1))]. 8733 a(x,x \ 1,y) / z = z \ a(x,x \ 1,y). [hyper(1059,a,8731,a),flip(a)]. 8734 T(x,a(y,z,z \ 1)) = x. [para(2147(a,1),8731(a,1,2))]. 8735 x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x. [hyper(6107,a,8734,a),flip(a)]. 8736 (a(x,y,y \ 1) \ z) \ z = a(x,y,y \ 1). [hyper(507,a,8734,a)]. 8737 T(x,a(y,z \ 1,z)) = x. [para(378(a,1),8734(a,1,2,3))]. 8738 T(a(x,y \ 1,y),z) = a(x,y \ 1,y). [hyper(49,a,8737,a)]. 8739 a(L(x \ 1,x,y),L(x \ 1,x,y) \ 1,y) = x * L(x \ 1,x,y). [para(357(a,1),8728(a,1,1)),flip(a)]. 8740 a(x \ y,(x \ y) \ 1,x) = (x \ y) * (y \ x). [para(337(a,1),8729(a,1,2)),flip(a)]. 8741 x * (L(x \ 1,x,y) * L(x \ 1,z,u)) = a(x,x \ 1,y) * L(x \ 1,z,u). [para(8729(a,1),7027(a,1,1)),flip(a)]. 8742 x * (L(x \ 1,x,y) * (x \ L(x,z,u))) = a(x,x \ 1,y) * (x \ L(x,z,u)). [para(8729(a,1),7658(a,1,1)),flip(a)]. 8743 (x * y) * (y * L(y \ 1,(y \ 1) \ 1,(z * (y \ 1)) \ 1)) = (x * a(y,y \ 1,z \ 1)) * y. [para(8729(a,1),7737(a,2,1,2))]. 8744 T(a(x,y \ 1,y),z) = x \ R(x,y \ 1,y). [hyper(280,a,1607,a,b,8738,a),flip(a)]. 8745 (L(x,y,y \ 1) \ x) \ 1 = x \ L(x,y,y \ x). [para(7048(a,2),8732(a,1,1))]. 8746 x / (y \ L(y,z,z \ 1)) = a(y,z,z \ 1) \ x. [para(3955(a,2),8735(a,1,2))]. 8747 a(x,y,y \ 1) \ (x * y) = x / (y \ 1). [hyper(34,a,6180,a,b,8736,a),flip(a)]. 8748 a(x,y,y \ 1) \ x = (y \ 1) \ (y \ x). [hyper(34,a,4854,a,b,8736,a),flip(a)]. 8749 (x * y) / (x / (y \ 1)) != z | a(x,y,y \ 1) = z. [para(8747(a,1),288(a,1,2))]. 8750 a(x,y,y \ 1) * ((y \ 1) \ (y \ x)) = x. [hyper(126,a,8748,a)]. 8751 a(x,y,y \ 1) * (y \ ((y \ 1) \ x)) = x. [para(7010(a,1),8750(a,1,2))]. 8753 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(4297(a,2),8744(a,1,1))]. 8754 x \ ((x \ (x / y)) * ((x / y) \ x)) = (x / (x * y)) * (T(x / y,y \ 1) \ 1). [para(8740(a,1),7266(a,1,2))]. 8755 L(x,y,y \ 1) = L(x,y,y \ x). [hyper(1265,a,8745,a)]. 8756 a(x,y,y \ 1) * x = L(x,y,y \ x). [hyper(58,a,3971,a,b,8755,a)]. 8757 x \ L(y,x,x \ y) = (x \ 1) * y. [hyper(111,a,8755,a(flip),b,7045,a)]. 8758 L(x * y,x,x \ 1) = L(x * y,x,y). [para(4(a,1),8755(a,2,3))]. 8759 L(T(x,y \ 1),y,y \ 1) = L(T(x,y \ 1),y,x / y). [para(3521(a,1),8755(a,2,3))]. 8760 x \ L(x * y,x,y) = (x \ 1) * (x * y). [para(4(a,1),8757(a,1,2,3))]. 8762 L(x,y,y \ x) != z | L(x,y,y \ 1) = z. [para(8756(a,1),8166(a,1))]. 8763 L((x \ 1) \ y,x,y) = x * y. [hyper(36,a,7056,a,b,8758,a)]. 8764 x \ L(x * y,x,x \ 1) = L(y * x,x,y) / x. [para(8758(a,2),1088(a,2,2)),flip(a)]. 8765 L(x \ y,x \ 1,y) = (x \ 1) * y. [para(378(a,1),8763(a,1,1,1))]. 8766 (x * (y \ 1)) * ((y \ 1) * x) = x * ((y \ 1) * (y \ x)). [para(8765(a,1),86(a,1,2))]. 8767 x \ L(x * y,x,y) = L(y,x,x \ 1). [hyper(280,a,671,a(flip),b,8760,a),flip(a)]. 8768 x / (L(y,z,z \ 1) / y) = a(y,z,z \ 1) \ x. [para(445(a,2),8746(a,1,2))]. 8769 L(x * y,y,y \ 1) = L(x * y,y,x). [hyper(1261,a,8764,a)]. 8770 L((x \ y) * x,x,x \ 1) = L((x \ y) * x,x,y / x). [hyper(280,a,6672,a,b,8769,a),flip(a)]. 8771 L((x * y) * (y \ (x \ y)),y \ (x \ y),(y \ (x \ y)) \ 1) = L((x * y) * (y \ (x \ y)),y \ (x \ y),y * x). [hyper(280,a,6675,a(flip),b,8769,a),flip(a)]. 8772 x / (((1 / y) * (y * z)) / z) = a(z,y,y \ 1) \ x. [para(624(a,2),8768(a,1,2,1))]. 8773 x \ (y \ (y / (x \ 1))) = a(x \ 1,x,y). [hyper(58,a,4483,a(flip),b,8730,a),flip(a)]. 8774 x \ (y \ (y / (x \ 1))) = a(x,x \ 1,y). [hyper(280,a,7063,a(flip),b,8773,a),flip(a)]. 8775 x \ L(x,x \ 1,y) = a(x,x \ 1,y). [para(388(a,2),8774(a,1,2))]. 8776 x * a(x,x \ 1,y) = L(x,x \ 1,y). [hyper(126,a,8775,a)]. 8777 L(x,x \ 1,y \ x) = x * a(y,x,x \ 1). [para(7102(a,1),8776(a,1,2)),flip(a)]. 8778 (x * L(y,y \ 1,z \ y)) \ ((x * y) * a(z,y,y \ 1)) != u | a(x,y,a(z,y,y \ 1)) = u. [para(8777(a,2),823(a,1,1,2))]. 8779 (x * L(y,y \ 1,z \ y)) \ ((x * a(z,y,y \ 1)) * T(y,a(z,y,y \ 1))) = a(x,a(z,y,y \ 1),T(y,a(z,y,y \ 1))). [para(8777(a,2),215(a,1,1,2))]. 8780 L(T(x,y \ 1),y,y \ 1) = L(T(x,y \ 1),y,y \ x). [hyper(280,a,6672,a(flip),b,8759,a),flip(a)]. 8781 L((x \ y) * x,x,y / x) = L(T(y,x),x,x \ 1). [para(898(a,2),8770(a,1,1)),flip(a)]. 8782 L((x \ y) * x,x,y / x) = (x \ 1) * (y * x). [hyper(280,a,683,a(flip),b,8781,a),flip(a)]. 8783 L(T(x,y),y,x / y) = (y \ 1) * (x * y). [para(898(a,2),8782(a,1,1))]. 8784 L(T(x,y),y,y \ x) = (y \ 1) * (x * y). [hyper(58,a,6672,a(flip),b,8783,a)]. 8785 L(T(x,x / (x * y)),x / (x * y),(x / (x * y)) \ x) = ((x / (x * y)) \ 1) * T(x / y,y \ 1). [para(4759(a,2),8784(a,2,2))]. 8786 L(T(x,y \ 1),y,y \ x) = y * (x * (y \ 1)). [hyper(7050,a,8780,a),flip(a)]. 8787 L(T(x,y \ x),y,y \ x) = y * (x * (y \ 1)). [para(3516(a,1),8786(a,1,1))]. 8788 a(L(x \ 1,x,y),L(x \ 1,x,y) \ 1,y) = a(x,x \ 1,y). [hyper(280,a,8729,a(flip),b,8739,a),flip(a)]. 8789 a(L(x \ 1,x,y),L(x,x \ 1,y \ 1),y) = a(x,x \ 1,y). [para(3993(a,2),8788(a,1,2))]. 8790 a(L(x \ 1,x,y),L(x,x \ 1,y \ 1),x \ y) = a(x,x \ 1,y). [hyper(58,a,7504,a,b,8789,a)]. 8791 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(58,a,6600,a,b,8753,a)]. 8792 a(x,x \ 1,y) * (x \ L(x,z,u)) = L(x \ 1,x,y) * L(x,z,u). [hyper(7145,a,8742,a),flip(a)]. 8793 (x / (x * y)) * (T(x / y,y \ 1) \ 1) = x \ ((x \ (x / y)) * y). [para(70(a,1),8754(a,1,2,2)),flip(a)]. 8794 (x / (x * y)) * (T(x / y,y \ 1) \ 1) = x \ a(y,y \ 1,x). [para(8728(a,1),8793(a,2,2))]. 8795 (x / (x * y)) * (T(x / y,y \ 1) \ 1) = y * ((x * y) \ 1). [hyper(280,a,7064,a(flip),b,8794,a),flip(a)]. 8796 (x / (x * y)) * T((x / y) \ 1,y \ 1) = y * ((x * y) \ 1). [hyper(58,a,3615,a,b,8795,a)]. 8797 (x \ (y \ x)) * ((y \ x) \ 1) = y * ((x * y) \ 1). [hyper(58,a,7455,a(flip),b,8796,a)]. 8798 ((x \ y) \ K(x \ y,y \ (x \ y))) * (y \ (x \ y)) = x * ((y * x) \ 1). [hyper(3607,a,8797,a)]. 8799 ((x \ y) \ K(y,x \ y)) * (y \ (x \ y)) = x * ((y * x) \ 1). [para(2896(a,1),8798(a,1,1,2))]. 8800 ((x \ y) \ K(x,y)) * (y \ (x \ y)) = x * ((y * x) \ 1). [para(2896(a,1),8799(a,1,1,2))]. 8801 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(58,a,4810,a,b,8791,a)]. 8802 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(8248,a,8801,a)]. 8803 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(378(a,1),8802(a,1,2,2,2))]. 8804 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(280,a,5298,a,b,8803,a),flip(a)]. 8805 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(8803(a,1),5286(a,1,2)),flip(a)]. 8806 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(604(a,1),8804(a,1,2,2))]. 8807 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(3952(a,1),8804(a,1,2,2))]. 8808 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(378(a,1),8807(a,1,2,2,3))]. 8809 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(7044(a,1),8807(a,1,2,2)),flip(a)]. 8810 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(7054(a,1),8807(a,1,2,2)),flip(a)]. 8811 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(376(a,2),8806(a,1,2,2,2))]. 8812 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(5397,a,8809,a)]. 8813 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(897(a,2),8809(a,2,2,2)),flip(a)]. 8814 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(8809(a,1),5322(a,1,2,2))]. 8815 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(5398,a,8810,a)]. 8816 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(5327,a,8810,a)]. 8817 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(58,a,8460,a(flip),b,8812,a),flip(a)]. 8818 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(7(a,1),8815(a,2,2,2))]. 8819 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(376(a,2),8815(a,1,2,2,1))]. 8820 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(280,a,5298,a,b,8816,a),flip(a)]. 8822 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(5296,a,8818,a)]. 8823 K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(58,a,8550,a(flip),b,8820,a),flip(a)]. 8824 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(8820(a,2),5327(a,1))]. 8825 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(58,a,5346,a(flip),b,8822,a)]. 8827 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(8825(a,1),6299(a,1,1))]. 8828 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(8825(a,1),6568(a,1,1))]. 8829 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(5298(a,1),8828(a,1,1))]. 8831 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(58,a,7882,a(flip),b,8829,a)]. 8832 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(67(a,1),8831(a,1,2,2,2))]. 8833 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(5330,a,8827,a)]. 8834 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(67(a,1),8827(a,1,2)),flip(a)]. 8836 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(5250(a,1),8833(a,1,1))]. 8837 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(5281(a,1),8834(a,2,1))]. 8838 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(6301,a,8836,a)]. 8839 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(175,a,8837,a)]. 8840 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(7541(a,1),8838(a,1,1,1,1))]. 8841 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(2926,a,8839,a)]. 8842 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(48,a,8841,a)]. 8843 a(K(x * y,K(z,u)),x,y) = 1. [para(4(a,1),8842(a,1,3))]. 8844 a(K(K(x,y),z),u,u \ z) = 1. [para(3579(a,2),8842(a,1,1))]. 8845 a(K(x,K(y,z * u)),z,u) = 1. [para(5250(a,1),8843(a,1,1))]. 8846 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(280,a,5326,a,b,8844,a),flip(a)]. 8847 T(x,K(y,R(z,u,u \ 1))) != w | T(x,K(z,y)) = w. [para(8805(a,2),5258(a,1))]. 8848 K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). [para(7(a,1),8823(a,1,2,1)),flip(a)]. 8849 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(8832(a,1),8846(a,2,2))]. 8850 K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). [hyper(5296,a,8848,a)]. 8851 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). [hyper(58,a,8813,a(flip),b,8850,a)]. 8852 (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). [para(8851(a,1),5919(a,2,2))]. 8853 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). [para(5277(a,1),8852(a,2,2))]. 8854 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(8808(a,1),8853(a,2,2))]. 8855 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(5281(a,2),8854(a,2,2))]. 8857 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(173(a,1),8855(a,1,1)),flip(a)]. 8858 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(5396,a,8817,a),flip(a)]. 8859 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(5397,a,8858,a)]. 8860 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(2961(a,2),8859(a,2,2))]. 8861 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(5281(a,2),8849(a,2,2))]. 8862 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(3579(a,1),8861(a,1,1))]. 8863 (x * y) * (y * L(y \ 1,(y \ 1) \ 1,(z * (y \ 1)) \ 1)) = (x * a(z,y,y \ 1)) * y. [para(2147(a,1),8743(a,2,1,2))]. 8864 (x * y) * (y * L(y \ 1,y,(z * (y \ 1)) \ 1)) = (x * a(z,y,y \ 1)) * y. [para(378(a,1),8863(a,1,2,2,2))]. 8865 (x * y) * (y * L(y \ 1,y,y * (z \ 1))) = (x * a(z,y,y \ 1)) * y. [para(298(a,1),8864(a,1,2,2,3))]. 8866 (x * y) * (y * L(y \ 1,y,z \ 1)) = (x * a(z,y,y \ 1)) * y. [para(6687(a,1),8865(a,1,2,2))]. 8867 (x * y) * a(y,y \ 1,z \ 1) = (x * a(z,y,y \ 1)) * y. [para(8729(a,1),8866(a,1,2))]. 8868 (x * a(y,z,z \ 1)) * z = (x * z) * a(y,z,z \ 1). [para(2147(a,1),8867(a,1,2)),flip(a)]. 8869 L(T(x,(x * y) \ x),x / (x * y),(x / (x * y)) \ x) = ((x / (x * y)) \ 1) * T(x / y,y \ 1). [para(775(a,1),8785(a,1,1))]. 8870 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(3469(a,2),8840(a,1,1))]. 8871 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(5386,a,8870,a)]. 8872 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(8824,a,8871,a)]. 8873 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(7(a,1),8872(a,1,2,2)),flip(a)]. 8874 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(8873(a,1),5251(a,1))]. 8875 L(T(x,y \ x),x / (x * y),(x / (x * y)) \ x) = ((x / (x * y)) \ 1) * T(x / y,y \ 1). [para(5193(a,1),8869(a,1,1))]. 8876 L(T(x,y \ x),x / (x * y),x * y) = ((x / (x * y)) \ 1) * T(x / y,y \ 1). [para(70(a,1),8875(a,1,3))]. 8877 L(T(x,y \ x),(x * y) \ x,x * y) = ((x / (x * y)) \ 1) * T(x / y,y \ 1). [hyper(6924,a,8876,a)]. 8879 L(T(x,y \ x),x \ (x / y),x * y) = ((x / (x * y)) \ 1) * T(x / y,y \ 1). [para(304(a,1),8877(a,1,2))]. 8880 ((x / (x * y)) \ 1) * T(x / y,y \ 1) = x \ ((x * y) * (x / y)). [hyper(58,a,2110,a(flip),b,8879,a),flip(a)]. 8881 ((x \ (y \ x)) \ 1) * (y \ x) = x \ ((x * y) * (x / y)). [hyper(58,a,7532,a(flip),b,8880,a)]. 8882 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(13(a,2),8860(a,1,2,2,2)),flip(a)]. 8883 L((x * y) * (y \ (x \ y)),y \ (x \ y),y * x) = L(y,y \ (x \ y),(y \ (x \ y)) \ 1). [para(480(a,1),8771(a,1,1)),flip(a)]. 8884 L((x * y) * (y \ (x \ y)),y \ (x \ y),y * x) = (x \ y) * ((y \ (x \ y)) \ 1). [hyper(280,a,3951,a(flip),b,8883,a),flip(a)]. 8885 L(x,x \ (y \ x),x * y) = (y \ x) * ((x \ (y \ x)) \ 1). [para(480(a,1),8884(a,1,1))]. 8886 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(4271(a,1),6424(a,1,1,1))]. 8887 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(4(a,1),8459(a,1,1,1)),flip(a)]. 8888 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(280,a,3664,a(flip),b,8887,a),flip(a)]. 8890 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(280,a,7757,a(flip),b,8888,a),flip(a)]. 8891 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(4739,a,8890,a)]. 8892 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(58,a,8589,a(flip),b,8891,a)]. 8893 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(7755,a,8892,a)]. 8894 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(5554,a,8893,a),flip(a)]. 8896 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(58,a,7836,a(flip),b,8894,a)]. 8897 (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(2294(a,1),8675(a,1,1))]. 8898 (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(2251(a,1),8897(a,1,1,1))]. 8899 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(169(a,1),8898(a,1,2))]. 8900 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(597,a,8899,a),flip(a)]. 8902 R(x,y,z) * L(R(x,y,z) \ 1,u,1 / x) = R(x * T(1 / x,1),y,z). [para(890(a,1),8900(a,2,1,2))]. 8903 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1825(a,1),8902(a,1,2))]. 8905 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(184(a,1),8903(a,2,1,2))]. 8906 R(K(x,x \ 1),y,z) = R(u,y,z) * ((1 / u) * (R(u,y,z) \ u)). [para(464(a,2),8905(a,2,1)),flip(a)]. 8907 K(x,x \ 1) = R(y,z,u) * ((1 / y) * (R(y,z,u) \ y)). [hyper(58,a,1400,a(flip),b,8906,a)]. 8909 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(471,a,8907,a),flip(a)]. 8911 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(115,a,8909,a)]. 8912 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(58,a,1505,a(flip),b,8911,a)]. 8913 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(7183(a,1),8912(a,1,1)),flip(a)]. 8914 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(4865(a,1),8913(a,2,1))]. 8915 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(6573(a,1),8914(a,1,1))]. 8916 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(7195(a,1),8915(a,2,1))]. 8917 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(58,a,8913,a(flip),b,8916,a)]. 8918 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(8242(a,1),8917(a,1,1)),flip(a)]. 8919 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(43,a,8918,a)]. 8921 (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(280,a,6766,a,b,8919,a)]. 8923 (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(6718(a,1),8921(a,1,1,2))]. 8924 (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(701(a,1),8923(a,1,1))]. 8925 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(225(a,1),8924(a,1,2)),flip(a)]. 8927 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(280,a,2526,a(flip),b,8925,a),flip(a)]. 8929 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(22(a,2),8927(a,2,3))]. 8930 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(58,a,8919,a(flip),b,8929,a)]. 8931 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(8245,a,8930,a)]. 8933 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(58,a,8059,a(flip),b,8931,a),flip(a)]. 8935 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(58,a,7452,a,b,8933,a)]. 8936 a(x,x \ y,R(x,z,u)) = a(w,v5,w). [hyper(1034,a,8935,a),flip(a)]. 8939 (x * (y \ x)) * (((x * (y \ x)) * L((x * (y \ x)) \ x,z,u)) / x) = ((x * (y \ x)) * (x * ((y \ x) / x))) * L(y / x,z,u). [para(947(a,1),2360(a,2,1,2))]. 8940 a(x * K(y,z),K(z,y),T(u,(x * K(y,z)) * K(z,y))) = (L(u,K(z,y),x * K(y,z)) * x) \ (u * x). [para(4324(a,1),4364(a,1,2,2)),flip(a)]. 8941 (L(x,K(y,z),u * K(z,y)) * u) \ (x * u) = a(u * K(z,y),K(y,z),T(x,u)). [para(4324(a,1),8940(a,1,3,2)),flip(a)]. 8942 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(6080(a,1),4581(a,2,2))]. 8943 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(60(a,1),8942(a,2,2,2,1))]. 8944 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(5190(a,1),8943(a,2,2))]. 8945 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3532(a,1),8944(a,1,2,1))]. 8946 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(6199(a,1),8945(a,1,2)),flip(a)]. 8947 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(60(a,1),8946(a,2,2,2,1))]. 8948 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(5448(a,1),8947(a,2,2))]. 8949 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(3860(a,1),8948(a,2,2))]. 8950 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(280,a,4440,a(flip),b,8949,a),flip(a)]. 8951 K(x,T(y,z)) * L(K(x,T(y,z)) \ (K(x,T(y,z)) / (z \ 1)),u,w) = ((z \ 1) \ K(x,y)) * (z \ L(z,u,w)). [para(1657(a,1),5726(a,2,2))]. 8952 K(x,T(y,z)) * L(K(x,T(y,z)) \ ((z \ 1) \ K(x,y)),u,w) = ((z \ 1) \ K(x,y)) * (z \ L(z,u,w)). [para(5460(a,1),8951(a,1,2,1,2))]. 8953 L(((x * K(y,z)) * K(z,y)) \ u,K(z,y),x * K(y,z)) = x \ (u / a(x * K(y,z),K(z,y),x \ u)). [para(4324(a,1),6184(a,1,2,2,3,1)),flip(a)]. 8954 (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(4271(a,1),6649(a,1,2,1))]. 8955 (x * L(y,y \ 1,z \ y)) \ ((x * a(z,y,y \ 1)) * y) = a(x,a(z,y,y \ 1),T(y,a(z,y,y \ 1))). [para(8734(a,1),8779(a,1,2,2))]. 8956 (x * L(y,y \ 1,z \ y)) \ ((x * y) * a(z,y,y \ 1)) = a(x,a(z,y,y \ 1),T(y,a(z,y,y \ 1))). [para(8868(a,1),8955(a,1,2))]. 8957 a(x,a(y,z,z \ 1),T(z,a(y,z,z \ 1))) = a(x,z,a(y,z,z \ 1)). [hyper(8778,a,8956,a),flip(a)]. 8958 a(x,a(y,z,z \ 1),z) = a(x,z,a(y,z,z \ 1)). [para(8734(a,1),8957(a,1,3))]. 8959 (x * (y \ x)) * (((x * (y \ x)) * L((x * (y \ x)) \ x,z,u)) / x) = ((x * (y \ x)) * (x * (x \ (x / y)))) * L(y / x,z,u). [para(935(a,1),8939(a,2,1,2,2))]. 8960 (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(4271(a,1),8954(a,1,2,2,1,1))]. 8961 (x * (y \ x)) * (((x * (y \ x)) * L((x * (y \ x)) \ x,z,u)) / x) = ((x * (y \ x)) * (x / y)) * L(y / x,z,u). [para(5(a,1),8959(a,2,1,2))]. 8963 (x * (y \ x)) * (((x * (y \ x)) * L((x * (y \ x)) \ x,z,u)) / x) = ((x / y) * (x * (x / y))) * L(y / x,z,u). [para(902(a,1),8961(a,2,1))]. 8964 (x * (y \ x)) * (((x * (y \ x)) * L(x \ (x / (y \ x)),z,u)) / x) = ((x / y) * (x * (x / y))) * L(y / x,z,u). [para(304(a,1),8963(a,1,2,1,2,1))]. 8965 (x * (y \ x)) * (((x * (y \ x)) * L(x \ y,z,u)) / x) = ((x / y) * (x * (x / y))) * L(y / x,z,u). [para(67(a,1),8964(a,1,2,1,2,1,2))]. 8967 (x * (y \ x)) * ((x * (y \ (x * L(x \ y,z,u)))) / x) = ((x / y) * (x * (x / y))) * L(y / x,z,u). [para(2356(a,1),8965(a,1,2,1))]. 8968 (x * (y \ x)) * (x * ((y \ (x * L(x \ y,z,u))) / x)) = ((x / y) * (x * (x / y))) * L(y / x,z,u). [para(947(a,1),8967(a,1,2))]. 8969 (x * (y \ x)) * (x * (x \ (x / (L(y / x,z,u) \ y)))) = ((x / y) * (x * (x / y))) * L(y / x,z,u). [para(2430(a,1),8968(a,1,2,2))]. 8970 ((x / y) * (x * (x / y))) * L(y / x,z,u) = (x * (y \ x)) * (x / (L(y / x,z,u) \ y)). [hyper(294,a,8969,a),flip(a)]. 8972 (x * (y \ x)) \ ((x * (y \ x)) * (x / (L(y / x,z,u) \ y))) = (x * L(x \ y,z,u)) / y. [para(8970(a,1),7652(a,1,2))]. 8973 (x * L(x \ y,z,u)) / y = x / (L(y / x,z,u) \ y). [hyper(267,a,8972,a),flip(a)]. 8974 x / (L(K(y,z) / x,u,w) \ K(y,z)) = (x * L(x \ K(y,z),u,w)) * K(z,y). [hyper(4331,a,8973,a),flip(a)]. 8975 (x / y) * L((x / y) \ 1,z,u) = x / (L(y / x,z,u) \ y). [hyper(2257,a,8973,a)]. 8977 (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(1343(a,1),8960(a,1,2))]. 8978 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(6001(a,1),8977(a,1,2))]. 8979 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(58,a,3037,a(flip),b,8978,a),flip(a)]. 8981 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(378(a,1),8979(a,2,1,1))]. 8982 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(3357(a,1),8981(a,1,1))]. 8983 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(4(a,1),8982(a,1,2))]. 8984 R(K(x,y),K(y,z),u) = K(x,y). [hyper(2707,a,8983,a)]. 8985 L(x,K(y,z),K(u,y)) = x. [hyper(560,a,8983,a)]. 8986 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(112,a,7294,a(flip),b,8983,a)]. 8987 x \ (K(y,z) * (K(z,u) * x)) != w | T(K(y,z) * K(z,u),x) = w. [para(8983(a,1),266(a,1,2))]. 8988 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(3662(a,2),8983(a,1,1))]. 8989 L(x,K(y,z),K(u,y)) = K(w,v5) * (K(v5,w) * x). [hyper(280,a,4268,a,b,8985,a),flip(a)]. 8990 L(x,K(y,z),K(y,u)) = x. [hyper(58,a,4511,a(flip),b,8985,a)]. 8991 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [hyper(1844,a,8990,a),flip(a)]. 8992 (K(x,y) * K(x,z)) * u != w | K(x,y) * (K(x,z) * u) = w. [para(8990(a,1),263(a,1,2))]. 8993 L(x,K(y,z),K(z,u)) = x. [para(2896(a,1),8990(a,1,2))]. 8994 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(280,a,2879,a(flip),b,8993,a),flip(a)]. 8995 L(x,K(y,z),K(z,u)) != w | x = w. [para(8993(a,1),45(a,2))]. 8996 L(x,K(y,z),L(K(u,z),w,v5) \ 1) = x. [para(3438(a,1),8993(a,1,3))]. 8997 L(x,K(y,z),K(u,K(z,w))) = x. [para(5253(a,1),8993(a,1,3))]. 8998 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(8993(a,1),5958(a,1,1,1)),flip(a)]. 8999 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(8984(a,1),8219(a,1,1)),flip(a)]. 9000 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [hyper(1844,a,8997,a),flip(a)]. 9001 L(x,L(K(y,z),u,w),L(K(v5,z),v6,v7) \ 1) = x. [para(3235(a,1),8996(a,1,2))]. 9002 (K(x,y) * ((K(y,x) * z) * u)) \ (L(z,K(w,v5),K(v6,w)) * u) = a(K(x,y),K(y,x) * z,u). [para(8989(a,2),9(a,2,2,1)),flip(a)]. 9003 (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. [hyper(58,a,7044,a(flip),b,9001,a),flip(a)]. 9004 (x * L(K(y,z),u,w)) \ x = L(K(y,z),u,w) \ 1. [hyper(111,a,9001,a(flip),b,3949,a)]. 9005 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(4278(a,1),8986(a,1,1))]. 9006 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(4268(a,1),8988(a,2,2))]. 9007 T(x,y) \ (K(z,x) * (K(x,y) * (u \ T(x,y)))) = (u * T(T(x,z),T(x,y))) \ T(x,y). [para(8988(a,1),4514(a,1,2))]. 9008 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(8307(a,1),9003(a,1,1))]. 9009 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(280,a,3696,a(flip),b,9008,a),flip(a)]. 9010 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(267,a,9008,a),flip(a)]. 9011 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [hyper(58,a,8603,a(flip),b,9008,a),flip(a)]. 9012 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [hyper(30,a,1069,a,b,9008,a(flip))]. 9013 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(y,x),z,u) \ T(w,K(x,v5)). [para(9008(a,1),7334(a,1,1))]. 9014 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(8416,a,9010,a),flip(a)]. 9015 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(9010(a,1),265(a,1,2)),flip(b)]. 9016 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(9010(a,1),8410(a,1,2)),flip(a)]. 9017 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(5082(a,1),9014(a,1,1))]. 9018 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(126,a,9012,a)]. 9019 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(5(a,1),9012(a,1,2))]. 9020 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(4439(a,2),9012(a,1,1,2))]. 9021 L(K(x,y),z,L(y,u,w)) != v5 | K(x,y) = v5. [para(9012(a,1),5208(a,1))]. 9022 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(8944(a,1),9012(a,1,1,2)),flip(a)]. 9023 L(K(x,y),z,y) != u | K(x,y) = u. [para(322(a,1),9021(a,1,3))]. 9024 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(5080(a,1),9023(a,1))]. 9025 L(K(x,y),K(z,y),u) = K(x,y). [hyper(5956,a,9018,a),flip(a)]. 9026 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(3635(a,1),9018(a,1,1,2))]. 9027 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(9025(a,1),86(a,1,2))]. 9028 L(K(x,y),K(y,z),u) = K(x,y). [para(2897(a,1),9025(a,1,2))]. 9029 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(9028(a,1),86(a,1,2))]. 9031 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(3463(a,2),9024(a,1))]. 9032 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(280,a,8307,a(flip),b,9004,a),flip(a)]. 9033 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(183,a,9032,a)]. 9034 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(9033(a,1),5953(a,1,1))]. 9035 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(111,a,3416,a(flip),b,9006,a)]. 9036 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [para(9035(a,1),3571(a,1,1))]. 9037 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(9035(a,1),3577(a,1,1))]. 9038 R(x,K(y,z),K(u,y)) = x. [hyper(593,a,9029,a)]. 9039 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(280,a,5948,a,b,9029,a),flip(a)]. 9040 K(x,y) * (T(z,K(y,x)) * K(y,u)) = z * (K(y,u) * K(x,y)). [hyper(58,a,7321,a,b,9029,a)]. 9041 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [para(3662(a,1),9029(a,2,2))]. 9042 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(58,a,7616,a(flip),b,9038,a)]. 9044 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(9038(a,1),5030(a,1,1))]. 9045 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(9039(a,2),3377(a,1,1))]. 9046 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(4324(a,1),9039(a,2,1))]. 9047 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(9019(a,1),6052(a,1))]. 9048 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(9026(a,1),5541(a,1,1)),flip(a)]. 9049 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(8307(a,2),9009(a,2,2)),flip(a)]. 9050 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(111,a,4268,a(flip),b,9016,a),flip(a)]. 9051 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(58,a,2785,a(flip),b,9045,a)]. 9052 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. [hyper(58,a,7332,a(flip),b,9050,a)]. 9053 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(280,a,3365,a(flip),b,9051,a),flip(a)]. 9054 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(58,a,8410,a(flip),b,9052,a),flip(a)]. 9055 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(267,a,9054,a),flip(a)]. 9056 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(183,a,9054,a)]. 9057 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(6606,a,9054,a(flip)),flip(a)]. 9058 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(9054(a,1),126(a,1))]. 9059 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(9054(a,1),288(a,1,2))]. 9060 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(58,a,921,a(flip),b,9056,a)]. 9061 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(183,a,9060,a)]. 9062 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(58,a,2889,a(flip),b,9061,a),flip(a)]. 9063 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(9061(a,1),247(a,1,1)),flip(b)]. 9064 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(279(a,2),9063(a,1,1))]. 9065 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2560(a,2),9053(a,2,2))]. 9067 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(2908(a,2),9057(a,1,1,3))]. 9068 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(v5,v6,L(v5,v7,v8)). [hyper(58,a,7607,a(flip),b,9065,a),flip(a)]. 9069 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(280,a,4267,a(flip),b,9011,a),flip(a)]. 9070 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(30,a,4665,a,b,9069,a),flip(a)]. 9072 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(4091(a,1),9020(a,2,1))]. 9073 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(3662(a,1),8998(a,1,2,2))]. 9074 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(9000(a,2),1351(a,1,2))]. 9075 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(4271(a,1),9047(a,1,1,2))]. 9077 K(x,y \ ((x \ 1) \ z)) != u | K(x,((x \ 1) * y) \ z) = u. [para(5125(a,1),9047(a,1))]. 9078 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(9077,a,8556,a)]. 9079 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [para(5(a,1),9078(a,1,2,1)),flip(a)]. 9080 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [hyper(58,a,8332,a(flip),b,9079,a)]. 9081 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(58,a,8115,a(flip),b,9080,a)]. 9082 K(T(x,y),z \ (T(x,y) \ y)) = K(x,((x \ 1) * y) / z). [hyper(7481,a,9081,a),flip(a)]. 9083 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(58,a,6904,a(flip),b,9082,a)]. 9085 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(58,a,8474,a(flip),b,9083,a),flip(a)]. 9086 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(6544,a,9085,a),flip(a)]. 9087 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(58,a,4901,a(flip),b,9086,a)]. 9088 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(280,a,8327,a(flip),b,9087,a),flip(a)]. 9090 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(7(a,1),9088(a,1,2,1))]. 9091 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(58,a,4901,a,b,9090,a)]. 9092 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(5(a,1),9091(a,1,2,2,1)),flip(a)]. 9093 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [para(378(a,1),9092(a,1,2,2,1)),flip(a)]. 9094 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(9092(a,1),7802(a,1,1))]. 9095 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(7919,a,9093,a),flip(a)]. 9096 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(9095(a,1),7802(a,1,1))]. 9097 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(5330,a,9049,a)]. 9098 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(29,a,9057,a(flip),b,9067,a(flip))]. 9099 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(5(a,1),9098(a,1,3,2)),flip(a)]. 9100 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(5116(a,1),9099(a,1,3))]. 9101 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [para(3582(a,1),9100(a,1,3)),flip(a)]. 9102 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(3449(a,1),9101(a,1,3))]. 9103 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(3582(a,1),9101(a,1,3)),flip(a)]. 9104 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [para(2886(a,1),9102(a,1,3)),flip(a)]. 9105 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [para(2896(a,1),9102(a,2,3))]. 9106 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(9073(a,1),4336(a,1,1))]. 9107 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(346(a,2),9005(a,1,2,2,2))]. 9108 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(280,a,9008,a(flip),b,9013,a),flip(a)]. 9109 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(280,a,3696,a(flip),b,9034,a),flip(a)]. 9110 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(280,a,223,a(flip),b,9108,a),flip(a)]. 9111 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(8995,a,9042,a)]. 9113 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(3162,a,9111,a)]. 9115 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(5355(a,1),9111(a,1,1))]. 9116 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(280,a,2882,a(flip),b,9113,a)]. 9117 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(58,a,9111,a(flip),b,9113,a)]. 9118 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(7941(a,1),9115(a,1,1,2)),flip(a)]. 9119 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(2931,a,9117,a)]. 9120 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(2888(a,1),9116(a,2,1)),flip(a)]. 9121 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(9116(a,1),2916(a,1))]. 9122 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(9119(a,1),2916(a,1))]. 9123 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [para(9036(a,2),9119(a,1,2))]. 9124 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(3662(a,2),9123(a,1,2,1))]. 9125 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(29,a,2882,a(flip),b,9124,a),flip(a)]. 9126 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(18(a,1),9121(a,1))]. 9127 T(T(x,K(y,z)),K(z,u)) != w | T(x,K(z,u) * K(y,z)) = w. [para(5355(a,1),9126(a,1,1))]. 9128 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(58,a,7328,a(flip),b,9120,a)]. 9129 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(4538,a,9128,a)]. 9130 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(280,a,9125,a,b,9129,a),flip(a)]. 9131 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(280,a,9036,a,b,9129,a),flip(a)]. 9132 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(58,a,8862,a,b,9129,a),flip(a)]. 9133 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(58,a,7331,a,b,9129,a)]. 9134 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(7804(a,1),9131(a,1,2,2)),flip(a)]. 9136 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(280,a,8845,a(flip),b,9132,a),flip(a)]. 9137 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(3662(a,1),9136(a,1,2))]. 9138 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(4(a,1),9137(a,1,2,2,2,3))]. 9139 (x / y) * R(y,z,L(y,u,w)) = x * a(v5,v6,L(v5,v7,v8)). [para(6333(a,1),9068(a,1,2))]. 9142 (x / y) * R(y,z,y) = x * a(u,w,L(u,v5,v6)). [para(322(a,1),9139(a,1,2,3))]. 9143 R(x,y,L(x,z,u)) = R(x,w,x). [hyper(29,a,9139,a,b,9142,a)]. 9144 (x / y) * R(y,z,y) = x * a(u,w,u). [para(322(a,1),9142(a,2,2,3))]. 9145 R(L(x,y,z),u,L(x,w,v5)) = L(R(x,v6,x),y,z). [para(9143(a,1),24(a,2,1))]. 9146 K(R(x,y,L(x,z,u)),w) = K(x,w). [para(9143(a,2),2453(a,1,1))]. 9147 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(5566,a,9146,a),flip(a)]. 9148 (x * y) * a(z,u,z) = x * R(y,w,y). [para(6(a,1),9144(a,1,1)),flip(a)]. 9149 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(v5,v6,v5). [para(2173(a,1),9144(a,1,2))]. 9150 a(x,y,x) = (z * u) \ T(u * z,u). [hyper(111,a,1029,a(flip),b,9148,a),flip(a)]. 9151 (x * a(y,z,y)) \ (x * R(u,w,u)) = u. [hyper(111,a,9148,a(flip),b,1299,a)]. 9153 T(x * y,x) = a(z,u,z) * (y * x). [para(9150(a,2),3335(a,1,1)),flip(a)]. 9154 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(9153(a,2),2105(a,1,3))]. 9155 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(9153(a,2),3111(a,1,2,1))]. 9156 (R(x,y,x) * z) \ ((x * z) * R(u,w,u)) = u. [para(1313(a,2),9151(a,1,1))]. 9157 L(x,y,T((z \ u) * z,z \ u)) = L(x,y,u). [para(5(a,1),9154(a,2,3))]. 9158 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(5(a,1),9155(a,1,2,1,1)),flip(a)]. 9159 L(R(x,y,x),z,R(x,u,x)) = x. [hyper(58,a,1546,a,b,9156,a)]. 9161 (x / R(y,z,y)) * L(R(y,z,y),u,R(y,z,y)) = y * (R(y,z,y) \ x). [para(9159(a,1),1542(a,1,1)),flip(a)]. 9162 L(x,y,(z \ T(u,z \ u)) * z) = L(x,y,u). [para(1094(a,1),9157(a,1,3))]. 9163 L(x,y,T(T(z,u \ z),u)) = L(x,y,z). [para(898(a,2),9162(a,1,3))]. 9164 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(9145(a,1),3315(a,1,2))]. 9165 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(5550,a,9147,a),flip(a)]. 9167 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(9165(a,1),2999(a,2,1,1))]. 9168 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(8592(a,2),9164(a,1))]. 9169 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(280,a,2999,a,b,9167,a),flip(a)]. 9170 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(8994(a,1),9169(a,1,2,3))]. 9171 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [hyper(58,a,7647,a(flip),b,9170,a),flip(a)]. 9172 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(v5,v5 \ v6,R(v5,v7,v8)). [para(8936(a,2),9149(a,2,2))]. 9173 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(58,a,7802,a(flip),b,9094,a),flip(a)]. 9174 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(58,a,3205,a(flip),b,9173,a),flip(a)]. 9179 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(9159(a,1),9161(a,1,2))]. 9181 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(v5,v6,R(v5,v7,v8)). [para(4(a,1),9172(a,2,2,2))]. 9182 a(x,y,R(x,z,u)) = a(w,v5,R(w,v6,v7)). [hyper(29,a,9181,a(flip),b,9181,a(flip))]. 9202 K(x,R(x,y,z) \ u) = a(w,v5,R(w,v6,v7)) * K(x,u). [para(9182(a,1),7993(a,1,1)),flip(a)]. 9207 K(x,R(x,y,z) \ u) = K(x,u) * a(w,x \ u,R(w,v5,v6)). [hyper(280,a,8527,a(flip),b,9202,a),flip(a)]. 9209 K(x,R(x,y,z) \ u) = K(x,u) * a(w,v5,w). [para(8936(a,1),9207(a,2,2))]. 9211 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(280,a,4450,a,b,9209,a),flip(a)]. 9212 K(x,x \ ((x * R(T(x,y),z,u)) / w)) != v5 | K(x,w \ x) = v5. [para(9211(a,1),8626(a,1))]. 9214 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(9008(a,1),9097(a,1,2))]. 9215 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(7901(a,1),9118(a,2,1))]. 9216 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(280,a,9111,a(flip),b,9215,a),flip(a)]. 9217 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(7941(a,1),9216(a,1,2,2))]. 9218 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(280,a,9117,a,b,9217,a)]. 9219 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(3631(a,2),9048(a,1,1))]. 9220 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(101(a,1),9072(a,1,1,2,2,1))]. 9221 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(280,a,5928,a(flip),b,9220,a),flip(a)]. 9222 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(7873,a,9096,a)]. 9223 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8066(a,1),9219(a,1,1))]. 9224 (x * (K(y,z) * u)) / (x * u) = (x * u) / (x * (K(z,y) * u)). [hyper(58,a,5986,a(flip),b,9223,a)]. 9226 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(6115,a,9224,a(flip))]. 9227 (x * (K(y,z) * u)) / (x * u) != w | K(y,(x * u) / (x * (z \ u))) = w. [para(9224(a,2),6115(a,1))]. 9228 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(280,a,7218,a,b,9226,a)]. 9229 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(280,a,8156,a(flip),b,9226,a),flip(a)]. 9230 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(898(a,2),9106(a,1,1,1)),flip(a)]. 9231 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(9115(a,1),9230(a,2,1))]. 9232 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(280,a,2966,a,b,9231,a),flip(a)]. 9233 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(4271(a,1),9232(a,1,2))]. 9234 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(280,a,9125,a(flip),b,9233,a),flip(a)]. 9235 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(5277(a,1),9133(a,1,2,2,2))]. 9236 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(4233,a,9235,a)]. 9237 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(5277(a,1),9236(a,1,1))]. 9238 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(4036(a,1),9228(a,1,3)),flip(a)]. 9239 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(58,a,9229,a(flip),b,9238,a),flip(a)]. 9241 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(9239(a,1),22(a,2,1))]. 9242 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(2954(a,1),9239(a,1,1))]. 9243 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(9239(a,1),4107(a,1,1))]. 9244 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(280,a,20,a,b,9241,a),flip(a)]. 9245 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(2954(a,1),9242(a,2,1))]. 9246 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [hyper(58,a,6535,a(flip),b,9245,a),flip(a)]. 9247 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(9246(a,1),20(a,2,1))]. 9248 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(280,a,3631,a,b,9247,a),flip(a)]. 9249 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(22(a,2),9248(a,2,2))]. 9250 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(3631(a,2),9249(a,1,1))]. 9251 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(280,a,7852,a(flip),b,9250,a),flip(a)]. 9252 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(3631(a,2),9244(a,2,1))]. 9253 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(3631(a,2),9252(a,1,1))]. 9254 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(5(a,1),9251(a,1,3)),flip(a)]. 9255 T(x,y) \ (K(z,x) * (K(x,y) * (u \ T(x,y)))) = (u * T(x,z)) \ T(x,y). [para(192(a,1),9007(a,2,1,2))]. 9256 K(x,y) * (T(y,z) \ (K(y,z) * (u \ T(y,z)))) = (u * T(y,x)) \ T(y,z). [hyper(58,a,7307,a(flip),b,9255,a)]. 9258 K(x,y) * (y \ (z \ T(y,u))) = (z * T(y,x)) \ T(y,u). [para(4008(a,1),9256(a,1,2))]. 9259 (x * T(y,z)) \ T(y,u) = T(y,z) \ (x \ T(y,u)). [hyper(4447,a,9258,a),flip(a)]. 9262 T(x,y) \ (z \ T(x,z \ x)) = x / (z * T(x,y)). [hyper(58,a,4816,a(flip),b,9259,a),flip(a)]. 9263 x / (y * T(x,z)) = T(x,z) \ (x / y). [para(975(a,1),9262(a,1,2)),flip(a)]. 9265 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,w,y)) * y). [hyper(58,a,6324,a(flip),b,9171,a),flip(a)]. 9266 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,w,y) \ u)). [para(9179(a,1),9265(a,2,2))]. 9267 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,w,y) \ u)). [hyper(280,a,4676,a(flip),b,9266,a),flip(a)]. 9268 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,w,x) \ u)). [para(6413(a,1),9267(a,1,1,1))]. 9269 R(x * K(y,x),z,x) \ u = T(x,y) * (x \ (R(x,w,x) \ u)). [para(7353(a,2),9268(a,1,1))]. 9270 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,v5,x) \ u) = w. [para(9269(a,2),4023(a,1))]. 9271 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(101(a,1),9110(a,1,1))]. 9272 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(7887(a,1),9134(a,2,2))]. 9273 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(280,a,9131,a(flip),b,9272,a),flip(a)]. 9274 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(7804(a,1),9273(a,1,1,2))]. 9275 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(5023(a,1),9044(a,1,2,2)),flip(a)]. 9277 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(3377(a,1),9275(a,2,2))]. 9278 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(5023(a,1),9277(a,1,2,2)),flip(a)]. 9279 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(4113(a,1),9278(a,2,2))]. 9281 K(x,y) * K(L(y,z,u),x) != w | K(x * L(y,z,u),x * y) = w. [para(9279(a,1),8534(a,1))]. 9282 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(8984(a,1),8999(a,2,2,1,1))]. 9283 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(3418(a,1),9282(a,2,2,1))]. 9285 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(3418(a,1),9283(a,1,1,2,1))]. 9286 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(58,a,4312,a(flip),b,9285,a)]. 9287 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(9285(a,1),587(a,1,1,1)),flip(a)]. 9288 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(9285(a,2),6611(a,1,1))]. 9289 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(9285(a,1),8886(a,1,1))]. 9291 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(5254(a,1),9288(a,1,1,1,2,1))]. 9292 K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(3311,a,9289,a)]. 9294 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). [para(4271(a,1),9292(a,1,2))]. 9295 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(58,a,9274,a(flip),b,9294,a)]. 9296 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(58,a,9234,a(flip),b,9295,a),flip(a)]. 9297 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(7883(a,1),9291(a,1,1,1,2))]. 9298 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(9237(a,1),9297(a,1,1,1))]. 9299 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(9239(a,1),9243(a,1,2,1)),flip(a)]. 9300 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(8358(a,1),9299(a,2,2))]. 9301 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(5056(a,1),9300(a,2,2,2))]. 9302 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(280,a,9008,a(flip),b,9301,a),flip(a)]. 9304 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(5343(a,1),9302(a,1,1,1))]. 9305 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(9253(a,1),9304(a,1,1)),flip(a)]. 9306 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(280,a,9008,a(flip),b,9305,a),flip(a)]. 9307 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(3638(a,1),9306(a,2,1,1))]. 9308 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(280,a,3,a(flip),b,9307,a),flip(a)]. 9309 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(9308(a,1),9214(a,1,2))]. 9310 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(9309(a,2),8314(a,1))]. 9311 ((x \ y) * (x * T(z,(x \ y) * x))) \ (T(y,x) * T(z,(x \ y) * x)) = (L(z,x,x \ y) * T(y,x)) \ (z * ((x \ y) * x)). [para(898(a,2),2055(a,2,1,2))]. 9312 ((x \ y) * (x * T(z,(x \ y) * x))) \ (T(y,x) * T(z,(x \ y) * x)) = (L(z,x,x \ y) * T(y,x)) \ (z * T(y,x)). [para(898(a,2),9311(a,2,2,2))]. 9313 ((x \ y) * (x * T(z,T(y,x)))) \ (T(y,x) * T(z,(x \ y) * x)) = (L(z,x,x \ y) * T(y,x)) \ (z * T(y,x)). [para(898(a,2),9312(a,1,1,2,2,2))]. 9314 ((x \ y) * (x * T(z,T(y,x)))) \ (T(y,x) * T(z,T(y,x))) = (L(z,x,x \ y) * T(y,x)) \ (z * T(y,x)). [para(898(a,2),9313(a,1,2,2,2))]. 9315 (L(x,y,y \ z) * T(z,y)) \ (x * T(z,y)) = a(y \ z,y,T(x,T(z,y))). [hyper(1421,a,9314,a),flip(a)]. 9316 L(T(x \ 1,y) * L(T(x \ 1,y) \ 1,z,u),T(x,w),v5) = L(T(x \ 1,y),x,v5) * L(L(T(x \ 1,y),x,v5) \ 1,z,u). [para(6464(a,1),8185(a,1,2,1,1)),flip(a)]. 9317 L(T(x \ 1,y) * L(T(x \ 1,y) \ 1,z,u),T(x,w),v5) = L(T(x \ 1,y) * L(T((x \ 1) \ 1,y),z,u),x,v5). [hyper(280,a,8181,a(flip),b,9316,a),flip(a)]. 9319 L(T(x \ 1,y) * L(T(x \ 1,y) \ 1,z,u),T(x,w),v5) = L(T(x \ 1,y) * L(T(x,y),z,u),x,v5). [para(378(a,1),9317(a,2,1,2,1,1))]. 9320 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(7872(a,1),8222(a,1,1))]. 9321 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(7872(a,1),9320(a,1,2,1,1)),flip(a)]. 9322 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(3418(a,1),9321(a,2,2,1))]. 9323 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(7782(a,1),9322(a,2,2))]. 9324 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(2885(a,1),9323(a,1,1,1)),flip(a)]. 9325 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(7782(a,1),9324(a,2,1,2))]. 9326 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((1 / z) * ((x * (1 / (1 / z))) / x)). [para(457(a,1),6593(a,1,2,1)),flip(a)]. 9328 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((1 / z) * (1 / (1 / ((x * z) / x)))). [para(1438(a,1),9326(a,2,2,2))]. 9329 x \ (L(y \ 1,y,x) \ (L(y \ 1,y,x) \ (L(y,y \ 1,x \ 1) \ (y \ x)))) = a(L(y \ 1,y,x),L(y \ 1,y,x) \ 1,y \ x). [para(3993(a,2),7137(a,1,2,2,2,1))]. 9330 x * ((y \ L(y,z,u)) * T((y \ L(y,z,u)) \ L(y,z,u),x * L(y,z,u))) = T(x * L(y,z,u),L(y \ 1,L(y,z,u),x)). [para(4(a,1),2690(a,1,2,2,1,2))]. 9332 x * ((y \ L(y,z,u)) * T(y,x * L(y,z,u))) = T(x * L(y,z,u),L(y \ 1,L(y,z,u),x)). [para(427(a,1),9330(a,1,2,2,1))]. 9333 T(x * L(y,z,u),L(y \ 1,L(y,z,u),x)) = x * ((y \ L(y,z,u)) * T(y,x)). [para(2224(a,1),9332(a,1,2,2)),flip(a)]. 9335 T(x * L(y,z,u),L(y \ 1,L(y,z,u),x)) = x * (K(y,x) * L(y,z,u)). [para(4009(a,1),9333(a,2,2))]. 9336 T(L((x \ 1) * K(y,z),u,w),K(z,y)) * (K(z,T(y,L((K(z,y) * x) \ 1,u,w))) * x) = (K(z,y) * x) * L((K(z,y) * x) \ 1,u,w). [para(3427(a,1),4941(a,1,1,1,1))]. 9337 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(8950(a,1),9022(a,2,1,2))]. 9338 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(6806,a,9337,a),flip(a)]. 9340 L(K(x,x * y),y,z) = K(x,x * y). [hyper(58,a,9221,a(flip),b,9338,a)]. 9342 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(9340(a,2),3417(a,1,2))]. 9343 L(K(x * y,x),y,z) = K(x * y,x). [hyper(8313,a,9342,a)]. 9344 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(58,a,8419,a(flip),b,9343,a)]. 9345 R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). [hyper(58,a,7728,a(flip),b,9343,a)]. 9346 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(58,a,7268,a(flip),b,9343,a),flip(a)]. 9348 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(5(a,1),9346(a,1,1,2,1)),flip(a)]. 9349 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(207(a,2),9346(a,1,1,2))]. 9350 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(86(a,1),9346(a,1,1,2,1))]. 9351 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(58,a,8671,a,b,9348,a)]. 9352 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(58,a,5084,a(flip),b,9348,a)]. 9353 K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. [para(9348(a,1),5090(a,1))]. 9354 K(x \ (y * z),y) = K(y * (x \ z),y). [hyper(4545,a,9352,a)]. 9355 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(9352(a,1),5222(a,1))]. 9356 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(9354(a,1),5206(a,1,1))]. 9357 K((x / y) \ z,z) = K(z * (y / x),z). [para(990(a,1),9349(a,1,1,2)),flip(a)]. 9358 K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). [para(15(a,2),9357(a,1,1,1)),flip(a)]. 9359 K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). [para(1153(a,1),9357(a,2,1,2))]. 9361 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(86(a,1),9351(a,1,1,2))]. 9365 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(269(a,1),9344(a,2,1,2))]. 9366 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(359(a,1),9344(a,2,1,2))]. 9367 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(5224,a,9361,a)]. 9368 K(x \ (y \ (z * (u * y))),y) != w | K(x \ (z * u),y) = w. [para(9367(a,2),9355(a,1))]. 9369 K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). [para(6(a,1),9359(a,1,1,1)),flip(a)]. 9370 K(x * R(y \ 1,y,z),x) = K(y \ x,x). [hyper(280,a,2472,a(flip),b,9369,a),flip(a)]. 9372 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(2857(a,1),9365(a,1,1))]. 9373 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(5(a,1),9372(a,1,2))]. 9374 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(58,a,9356,a(flip),b,9373,a)]. 9376 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(4(a,1),9374(a,1,1,1,2)),flip(a)]. 9377 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(9353,a,9376,a)]. 9378 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(58,a,6905,a(flip),b,9377,a),flip(a)]. 9380 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(9368,a,9378,a),flip(a)]. 9381 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(13(a,2),9380(a,2,1))]. 9382 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(9168,a,9381,a),flip(a)]. 9383 K(L(x,x \ y,z),u) != w | K(x,L(u,y,z)) = w. [para(9381(a,1),9168(a,1))]. 9384 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(6487,a,9382,a)]. 9385 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(9382(a,1),6487(a,1))]. 9387 K(x,L(y,y,z)) = K(x,y). [hyper(3312,a,9384,a),flip(a)]. 9388 (x * (y * K(z,u))) \ (x * y) = K(u,L(z,y,x)). [hyper(58,a,9012,a,b,9384,a)]. 9389 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(58,a,8407,a,b,9384,a)]. 9390 (x * (y * K(z,u))) / (x * y) = K(z,L(T(u,x * y),y,x)). [hyper(58,a,5489,a,b,9384,a)]. 9391 (x * (y \ z)) \ (x * T(z / T(y,u),y)) = K(u,L(y,y \ z,x)). [hyper(58,a,4522,a,b,9384,a)]. 9392 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(58,a,3952,a,b,9384,a)]. 9393 K(x,L(L(y,z,u),y,w)) = K(x,L(y,z,u)). [hyper(58,a,8367,a(flip),b,9384,a),flip(a)]. 9394 K(x,L(y,y * z,u)) = K(x,L(y,z,u)). [hyper(58,a,8347,a(flip),b,9384,a),flip(a)]. 9395 K(x,L(y,z * y,u)) = K(x,L(y,z,u)). [hyper(58,a,8317,a(flip),b,9384,a),flip(a)]. 9396 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(9384(a,1),86(a,1,2))]. 9397 (x * y) * K(z,L(u,y,x)) != w | x * (y * K(z,u)) = w. [para(9384(a,1),263(a,1,2))]. 9398 (x * y) \ (((x * y) / K(z,L(u,y,x))) * K(z,u)) = ((x * (y * K(z,u))) / K(z,u)) \ (x * y). [para(9384(a,1),2219(a,1,2,1,2))]. 9399 K(x \ y,L(x,z,u)) = L(K(y,x),z,u). [para(2886(a,1),9384(a,1,1)),flip(a)]. 9400 K(x * L(y,z,u),L(y,w,v5)) = L(K(x,y),w,v5). [para(3715(a,1),9384(a,1,1)),flip(a)]. 9401 x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). [para(9384(a,1),6683(a,1,2))]. 9402 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(9384(a,1),6704(a,1,2))]. 9403 (x * y) * K(z,L(u,x,y)) != w | y * (T(x,y) * K(z,u)) = w. [para(9384(a,1),6722(a,1,2))]. 9404 K(x * (y \ z),L(y,u,w)) = L(K(x * z,y),u,w). [para(6874(a,1),9384(a,1,1)),flip(a)]. 9405 (x * (y * K(x,z))) \ ((x * y) * K(x,L(z,u,w))) = (x * y) \ (((x * y) / K(x,z)) * L(K(x,z),u,w)). [para(9384(a,1),5024(a,1,2,2))]. 9406 (x * y) \ (((x * y) / K(z,L(u,y,x))) * L(L(K(z,u),y,x),w,v5)) = (x * (y * K(z,u))) \ (x * (y * L(K(z,u),w,v5))). [para(9384(a,1),7598(a,1,2,1,2))]. 9407 (x \ y) * (K(z,x) * L(K(z,x) \ 1,u,w)) = T(y / T(x,z),x) * K(x,L(z,u,w)). [para(9384(a,1),7674(a,2,2))]. 9408 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(9384(a,1),8404(a,1,2))]. 9409 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(9384(a,1),8408(a,1,1))]. 9410 K(x,y) * K(y,L(x,z,u)) != w | a(u,z,K(x,y)) = w. [para(9384(a,1),8414(a,1,2))]. 9411 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(9384(a,1),8607(a,1,3))]. 9412 (x / y) * T((y \ x) \ (K(y,L(x,z,u)) * (K(y,x) \ (y \ x))),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(9384(a,1),3007(a,1,2,1,2,1))]. 9413 K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. [para(9384(a,1),9047(a,1))]. 9414 T(x,L(y,y,z)) = x * K(x,y). [para(9387(a,1),2882(a,2,2))]. 9416 T(x,L(y,y,z)) = T(x,y). [hyper(280,a,2882,a,b,9414,a),flip(a)]. 9417 T(x,L(y,y,z)) != u | T(x,y) = u. [para(9414(a,2),2916(a,1))]. 9418 T(L(x,x,y) * z,x) = z * L(x,x,y). [hyper(1021,a,9416,a),flip(a)]. 9419 T(((x * (y * x)) / (x * x)) * x,x) = L(x,x,x * y) \ ((x * y) * x). [hyper(58,a,7173,a(flip),b,9416,a),flip(a)]. 9420 K(x,L(y,(z * (y * K(u,w))) \ y,v5)) = K(x,L(y,K(w,T(u,y)) * (z \ y),v5)). [para(5546(a,1),9394(a,1,2,2)),flip(a)]. 9421 K(x,L(y,T(z,y),u)) = K(x,L(y,y \ z,u)). [para(898(a,2),9395(a,1,2,2))]. 9422 K(x \ y,L(x,z,u)) = K(y,L(x,z,u)). [hyper(280,a,9384,a(flip),b,9399,a),flip(a)]. 9423 x * ((y * L(x,x,z)) / x) = L(x,x,z) * y. [hyper(948,a,9418,a)]. 9424 K(x * y,L(x,z,u)) = K(y,L(x,z,u)). [hyper(3862,a,9422,a),flip(a)]. 9426 K(x,K(y,L(z,u,w))) != v5 | L(K(x,K(y,z)),u,w) = v5. [para(8359(a,1),9385(a,1))]. 9428 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(9408(a,1),4078(a,1,2)),flip(a)]. 9430 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(58,a,8417,a(flip),b,9409,a)]. 9431 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(5281(a,2),9430(a,1,3))]. 9432 x * ((y / x) * L(x,x,z)) = L(x,x,z) * y. [para(2198(a,1),9423(a,1,2))]. 9433 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(5930(a,1),9383(a,1))]. 9434 (x * (y * K(z,u))) \ (x * y) != w | K(u,L(z,y,x)) = w. [para(9012(a,2),9433(a,1))]. 9435 K(x \ y,L(x,z,u)) != w | K(y,L(x,z,u)) = w. [para(9399(a,2),9433(a,1))]. 9436 ((x * y) / (y * K(z,u))) * y = (x * y) * K(u,L(z,y,x)). [para(9388(a,1),107(a,1,2)),flip(a)]. 9437 K(T(x,y),L(x * z,u,w)) = (w * (u * K(z,T(x,y)))) \ (w * u). [para(3925(a,1),9388(a,1,1,2,2)),flip(a)]. 9438 (L(x,y,z) \ x) * K(u,L(w,L(x,y,z) \ 1,x)) = x * ((L(x,y,z) \ 1) * K(u,w)). [para(1917(a,1),9396(a,1,1))]. 9439 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(9396(a,1),2916(a,1))]. 9440 (x * T(y,z)) * K(u,L(w,y,x * K(y,z))) = (x * K(y,z)) * (y * K(u,w)). [para(3377(a,1),9396(a,1,1))]. 9441 K(x * (y * K(z,u)),L(z,w,v5)) = K(x * y,L(z,w,v5)). [para(9396(a,1),8594(a,1,1))]. 9442 K(x * L(y,z,u),L(y,w,v5)) = K(x,L(y,w,v5)). [hyper(280,a,9384,a(flip),b,9400,a),flip(a)]. 9444 K(x * (y \ z),L(y,u,w)) = K(x * z,L(y,u,w)). [hyper(280,a,9384,a(flip),b,9404,a),flip(a)]. 9445 (x * (a(y,z,K(u,w)) \ v5)) \ (x * T(v5,a(y,z,K(u,w)))) = a(y,z,K(u,L(w,a(y,z,K(u,w)) \ v5,x))). [hyper(280,a,939,a,b,9411,a)]. 9446 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(58,a,7700,a,b,9428,a)]. 9447 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(8819(a,1),9431(a,1,3))]. 9448 K(x * (y * z),L(y,u,w)) = K(x * z,L(y,u,w)). [para(4(a,1),9444(a,1,1,2)),flip(a)]. 9449 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(9446(a,1),2808(a,1,1))]. 9450 K(T(x,y) * z,L(T(y,x),u,w)) = K(x * (y * z),L(T(y,x),u,w)). [para(4373(a,1),9448(a,1,1)),flip(a)]. 9451 (K(x,L(y,z,z \ K(u,w))) \ 1) * K(w,u) = ((K(u,w) / z) * (z * K(x,y))) \ 1. [para(9401(a,1),3427(a,1,1)),flip(a)]. 9452 x * K(y,L(T(z,u),u,u \ x)) = (x / u) * (K(y,z) * u). [para(3647(a,1),9401(a,2,2))]. 9453 ((x / y) * y) \ ((x * K(z,L(u,y,y \ x))) / K(z,u)) = (((x / y) * y) * T(K(z,u),y)) \ ((x / y) * (K(z,u) * y)). [para(9401(a,2),4569(a,2,2,1)),flip(a)]. 9454 x * (T(y,x) * K(z,T(u,y * x))) = K(z,L(u,y,x)) * (y * x). [hyper(3942,a,9402,a),flip(a)]. 9455 ((x * y) * (y \ 1)) * K(z,L(u,x * y,y \ 1)) = (y \ 1) * ((y * x) * K(z,u)). [para(3514(a,1),9402(a,2,2,1))]. 9456 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(3662(a,2),9410(a,1))]. 9457 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(5833(a,2),9426(a,1))]. 9458 ((x * y) / (y * K(z,u))) * y = x * (y * K(u,z)). [hyper(280,a,9396,a(flip),b,9436,a),flip(a)]. 9459 (x / (y * K(z,u))) * y = (x / y) * (y * K(u,z)). [para(7(a,1),9458(a,1,1,1))]. 9460 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(30,a,1507,a,b,9459,a),flip(a)]. 9461 (x / y) * (y * K(z,T(u,y))) = (x / (K(u,z) * y)) * y. [para(3635(a,1),9459(a,1,1,2)),flip(a)]. 9462 ((x / y) * (y * K(z,u))) * K(y,w) != v5 | (x / (y * K(u,z))) * T(y,w) = v5. [para(9459(a,1),3440(a,1,1))]. 9463 T(T(x,y) * (z / (x * K(u,w))),x) = K(x,y) * ((z / x) * (x * K(w,u))). [para(9459(a,1),4071(a,2,2))]. 9464 (x / (K(y,z) * u)) * ((K(y,z) * u) * K(y,z)) = (x / T(u,K(z,y))) * (K(y,z) * u). [para(4290(a,1),9459(a,1,1,2)),flip(a)]. 9465 K(x,1 / x) * (y / z) = y / (1 / (1 / z)). [para(1473(a,1),9460(a,1,2)),flip(a)]. 9467 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(9465(a,1),6827(a,1,2,1))]. 9468 (x / (K(y,z) * u)) * u = (x / u) * (K(z,y) * u). [para(3647(a,1),9461(a,1,2)),flip(a)]. 9469 K((x * y) * z,L(u,x,y)) * (x * y) != w | y * (T(x,y) * K(z * (x * y),u)) = w. [para(3775(a,2),9403(a,1))]. 9470 K(x,L(y,z \ u,z)) != w | K(x,(z * ((z \ u) / y)) \ u) = w. [para(70(a,1),9413(a,1,2,1))]. 9471 (x * (y \ z)) \ (x * T(z / T(y,u),y)) = K(u,L(y,T(z,y),x)). [hyper(280,a,9421,a,b,9391,a),flip(a)]. 9472 K(T(x,y),L(x * z,u,w)) = K(T(x,y),L(z,u,w)). [hyper(280,a,9388,a(flip),b,9437,a),flip(a)]. 9473 K(T(x,y),L(x * z,u,w)) = K(x,T(L(z,u,w),y)). [hyper(280,a,3638,a(flip),b,9472,a),flip(a)]. 9474 K(T(x,y),L(x * z,u,w)) = K(x,L(T(z,y),u,w)). [para(20(a,2),9473(a,2,2))]. 9475 K(x,T(L(x * y,z,u),w)) = K(x,L(T(y,w),z,u)). [hyper(4739,a,9474,a)]. 9476 K(x,L(T(x * y,z),u,w)) = K(x,L(T(y,z),u,w)). [para(20(a,2),9475(a,1,2))]. 9477 K(x,L(T(T(x,y) * z,1),u,w)) = K(x,L(T(z * K(x,y),z),u,w)). [hyper(58,a,4847,a(flip),b,9476,a)]. 9478 L(K(x,T(y,z)),y \ u,w) = K(T(x,z),L(y,T(u,y),w)). [hyper(4827,a,9471,a)]. 9479 L(K(x,T(y,z)),y \ u,w) = K(x,T(L(y,T(u,y),w),z)). [hyper(280,a,3638,a(flip),b,9478,a),flip(a)]. 9480 L(K(x,T(y,z)),y \ u,w) = K(x,L(T(y,z),T(u,y),w)). [para(20(a,2),9479(a,2,2))]. 9481 K(x,L(T(y,z),T(u,y),w)) != v5 | K(x,L(T(y,z),y \ u,w)) = v5. [para(9480(a,1),9433(a,1))]. 9482 K(T(x,y) * z,L(T(y,x),u,w)) = K((y * z) * x,L(y,u,w)). [hyper(280,a,3809,a(flip),b,9450,a),flip(a)]. 9483 K(x,L(T(T(x,y) * z,1),u,w)) = K(x,L(K(x,y) * z,u,w)). [para(897(a,1),9477(a,2,2,1))]. 9485 T(((x * (y * x)) / (x * x)) * x,x) = L(x,x,y) \ ((x * y) * x). [para(7163(a,1),9419(a,2,1))]. 9486 T(((x * (y * x)) / (x * x)) * x,x) = L(x,x,y) \ (x * (y * x)). [para(857(a,1),9485(a,2,2))]. 9487 T(((x * (y * x)) / (x * x)) * x,x) = x * (L(x,x,y) \ (y * x)). [hyper(280,a,1916,a(flip),b,9486,a),flip(a)]. 9488 T(((x * (y * x)) / (x * x)) * x,x) = x * ((L(x,x,y) \ y) * x). [para(1229(a,1),9487(a,2,2))]. 9489 (K(L(x,y,y \ K(z,u)),w) * 1) * K(u,z) = ((K(z,u) / y) * (y * K(w,x))) \ 1. [para(4271(a,1),9451(a,1,1))]. 9490 L(x,y,y \ 1) * K(z,L(u,x * y,y \ 1)) = (y \ 1) * ((y * x) * K(z,u)). [para(3949(a,1),9455(a,1,1))]. 9491 (x \ y) * (K(z,x) * L(K(z,x) \ 1,u,w)) = T((y / T(x,z)) * K(x,L(z,u,w)),x). [hyper(280,a,6100,a,b,9407,a),flip(a)]. 9492 (x / (K(y,z) * u)) * (K(y,z) * (u * K(y,z))) = (x / T(u,K(z,y))) * (K(y,z) * u). [para(857(a,1),9464(a,1,2))]. 9493 T((x / T(y,z)) * K(y,L(z,u,w)),y) = (y \ x) * (K(z,y) * L(K(y,z),u,w)). [para(3418(a,1),9491(a,1,2,2,1)),flip(a)]. 9494 T((x / T(y,z)) * K(y,L(z,u,w)),y) = (y \ x) * (K(z,y) * K(y,L(z,u,w))). [para(9384(a,1),9493(a,2,2,2))]. 9495 (x * y) \ (((x * y) * K(L(z,y,x),u)) * K(u,z)) = ((x * (y * K(u,z))) / K(u,z)) \ (x * y). [para(4323(a,1),9398(a,1,2,1))]. 9496 (x * (y \ z)) \ (((x * (y \ z)) / K(u,L(y,y \ z,x))) * K(u,y)) = ((x * T(z / T(y,u),y)) / K(u,y)) \ (x * (y \ z)). [para(4502(a,2),9398(a,2,1,1,2))]. 9497 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(2857(a,1),9366(a,1,1))]. 9498 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(9349(a,1),9497(a,1,1))]. 9499 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(339(a,1),9498(a,1,2)),flip(a)]. 9501 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(58,a,9350,a(flip),b,9499,a),flip(a)]. 9502 K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). [para(2850(a,1),9501(a,1,1)),flip(a)]. 9503 T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). [hyper(58,a,4520,a,b,9502,a)]. 9504 T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). [para(9502(a,1),3002(a,2,2,2))]. 9505 T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). [hyper(280,a,8565,a(flip),b,9504,a),flip(a)]. 9506 T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). [para(9505(a,1),9503(a,1,2,1,1))]. 9507 T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). [para(8311(a,1),9506(a,1,2,1))]. 9508 T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). [para(9384(a,1),9507(a,1,2,1,2,1))]. 9509 T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). [para(4019(a,1),9508(a,1,2,1))]. 9510 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(58,a,4520,a(flip),b,9509,a),flip(a)]. 9511 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(9433,a,9510,a),flip(a)]. 9512 K(x,(y * (z \ u)) \ (y * u)) = K(L(x,u,y),T(z,u)). [hyper(58,a,8366,a,b,9510,a)]. 9513 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(568(a,1),9510(a,2,1))]. 9516 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(9510(a,1),8404(a,1,2))]. 9517 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(9510(a,1),9433(a,1))]. 9518 K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). [hyper(9383,a,9511,a),flip(a)]. 9519 K(x,L(y \ (y / z),u,w)) = K(z,L(x,u,w)). [hyper(3730,a,9511,a),flip(a)]. 9520 K(x \ 1,L(y,z,u)) = K(y,L(x,z,u)). [hyper(3728,a,9511,a)]. 9521 K(x,L(y \ 1,z,u)) = K(y,L(x,z,u)). [hyper(3711,a,9511,a),flip(a)]. 9522 K(x,(y * (z * u)) \ (y * z)) = K(u,L(x,z,y)). [hyper(58,a,3598,a,b,9511,a)]. 9523 K(x,L(T(T(y,z),u * z),z,u)) = K((u * (x * z)) / (u * z),y). [hyper(58,a,6236,a(flip),b,9511,a),flip(a)]. 9524 K(x,L(K(y,x) * z,u,w)) = K(L(x,u,w),z). [hyper(58,a,4978,a(flip),b,9511,a),flip(a)]. 9525 T(x,L(y,z,u) \ x) = x * K(y,L(x,z,u)). [para(9511(a,1),2838(a,2,2))]. 9526 K(x,L(y,z,u)) * L(x,z,u) = L(T(x,y),z,u). [para(9511(a,1),2921(a,1,1))]. 9527 (x * L(y,z,u)) * K(y,L(w,z,u)) = x * T(L(y,z,u),w). [para(9511(a,1),3372(a,1,2))]. 9528 T(x,L(y,z,u) \ 1) = x * K(y,L(x,z,u)). [para(9511(a,1),3519(a,2,2))]. 9529 x * K(y,L(x,z,u)) != w | T(x,L(y,z,u) \ 1) = w. [para(9511(a,1),3527(a,1,2))]. 9530 K(x,L(y \ z,u,w)) != v5 | K(z \ y,L(x,u,w)) = v5. [para(9511(a,1),3729(a,1))]. 9531 K(x,L(y,z,u)) * (y * w) = y * (K(L(x,z,u),y) * w). [para(9511(a,1),4183(a,1,1))]. 9532 T(x,L(y,z,u)) * (K(y,L(x,z,u)) * w) = x * w. [para(9511(a,1),4293(a,1,2,1))]. 9533 T(x / T(y,L(z,u,w)),y) = (y \ x) * K(z,L(y,u,w)). [para(9511(a,1),4502(a,2,2))]. 9534 K(x,y) * (K(z,L(T(y,x),u,w)) * v5) = y * (T(T(y,x),L(z,u,w)) \ v5). [para(9511(a,1),4396(a,1,2,1))]. 9535 (x * (y * z)) * K(z,L(u,y,x)) = x * (y * T(z,u)). [para(9511(a,1),4998(a,1,2))]. 9536 K(x,L(y,z,u)) * (w * K(y,L(x,z,u))) = T(w,K(x,L(y,z,u))). [para(9511(a,1),5356(a,1,2,2))]. 9537 K(x,L(y,z,u)) * ((L(x,z,u) \ x) \ 1) = (x / T(L(x,z,u),y)) \ 1. [para(9511(a,1),4669(a,1,1))]. 9538 L(T(x,y),z,u) \ (K(x,L(y,z,u)) * (x \ L(x,z,u))) = x \ 1. [para(9511(a,1),7463(a,1,2,1))]. 9539 K(x,L(y,x \ z,u)) != w | K(x,L(y,z,u)) = w. [para(9511(a,1),9383(a,1))]. 9540 (K(x,L(y,z,z \ K(u,w))) * 1) * K(w,u) = ((K(u,w) / z) * (z * K(y,x))) \ 1. [para(9511(a,1),9489(a,1,1,1))]. 9541 (x * y) \ (((x * y) * K(z,L(u,y,x))) * K(u,z)) = ((x * (y * K(u,z))) / K(u,z)) \ (x * y). [para(9511(a,1),9495(a,1,2,1,2))]. 9542 K(x,L(y,x * z,u)) = K(x,L(y,z,u)). [para(4(a,1),9518(a,1,2,2)),flip(a)]. 9543 K(x * (y \ 1),L(z,u,w)) = K(z,L(y * (x \ 1),u,w)). [hyper(58,a,2452,a(flip),b,9520,a)]. 9544 K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. [para(9520(a,1),3577(a,1))]. 9545 K(x,L(L(y \ 1,z,u),w,v5)) = K(y,L(L(x,w,v5),z,u)). [hyper(58,a,9511,a(flip),b,9521,a)]. 9546 K(x \ 1,L(y,(z * x) \ 1,u)) = K(x \ 1,L(y,z \ 1,u)). [para(512(a,1),9542(a,1,2,2))]. 9547 K(x \ 1,L(y,z,u)) != w | K(y,L(x,z,u)) = w. [para(3571(a,2),9517(a,1))]. 9548 K(x \ (x / y),L(z,u,w)) != v5 | K(z,L(y,u,w)) = v5. [para(3583(a,2),9517(a,1))]. 9549 K(x \ (y \ x),L(z,u,w)) != v5 | K(z,L(T(y,x),u,w)) = v5. [para(3599(a,2),9517(a,1))]. 9550 K(x,(y * (z * u)) \ (y * z)) != w | K(u,L(x,z,y)) = w. [para(3598(a,2),9517(a,1))]. 9551 L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. [para(9384(a,2),9544(a,1))]. 9552 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(9281,a,9516,a)]. 9553 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(8420,a,9516,a)]. 9554 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [hyper(4329,a,9516,a)]. 9555 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(8354(a,1),9516(a,1,2))]. 9556 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [hyper(280,a,9409,a,b,9553,a)]. 9557 K(x,(y * (z / u)) / (y * z)) = K(u,L(T(x,y * z),z,y)). [hyper(5672,a,9519,a)]. 9558 K(x,L(K(y,x) * z,u,w)) = K(x,L(z,u,w)). [hyper(280,a,9511,a(flip),b,9524,a),flip(a)]. 9559 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(7(a,1),9552(a,1,1))]. 9560 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(8214(a,1),9554(a,1,2,2))]. 9561 K(x,L(K(x,y) * z,u,w)) = K(x,L(z,u,w)). [para(2897(a,1),9558(a,1,2,1,1))]. 9562 K(x,L(T(T(x,y) * z,1),u,w)) = K(x,L(z,u,w)). [hyper(58,a,9483,a,b,9561,a)]. 9563 K(x \ y,L(z,x,u)) = K(z,(u * y) \ (u * x)). [para(5(a,1),9522(a,1,2,1,2)),flip(a)]. 9564 T(K(x,(y * (z * u)) \ (y * z)) * w,x) = K(u,L(x,z,y)) * T(w,x). [para(9522(a,1),6033(a,2,1))]. 9565 L(x,y,z) * K(x,L(u,y,z)) = L(T(x,u),y,z). [hyper(2490,a,9526,a)]. 9566 (K(x,L(y,z,u)) / x) * L(x,z,u) = L(T(x,y),z,u) / x. [hyper(112,a,9526,a(flip),b,2196,a),flip(a)]. 9567 K(x,L(y,z,u)) * (x \ L(x,z,u)) = x \ L(T(x,y),z,u). [hyper(111,a,9526,a(flip),b,4070,a),flip(a)]. 9568 L(x,y,z) * (K(x,L(u,y,z)) * w) = L(T(x,u),y,z) * w. [para(9526(a,1),4927(a,1,1)),flip(a)]. 9569 K(x,L(L(y,x \ z,u),w,v5)) != v6 | K(x,L(L(y,w,v5),z,u)) = v6. [para(25(a,1),9539(a,1,2))]. 9570 L(x \ 1,x,y) * K(z,x) = L(T(x \ 1,z),x,y). [para(8340(a,1),9565(a,1,2))]. 9571 L(x,y,z) * K(x,L(y,u,w)) = L(T(x,L(y,u,w)),y,z). [para(9393(a,1),9565(a,1,2))]. 9572 T(x,L(y,z,u)) * K(y,K(L(x,z,u),w)) = x * K(L(x,z,u),T(y,w)). [para(5306(a,1),9532(a,1,2))]. 9573 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(9556(a,1),9456(a,1))]. 9575 K(x,L(T(x,y) * z,u,w)) = K(x,L(z,u,w)). [para(184(a,1),9562(a,1,2,1))]. 9576 K(x,L(T(x,y) \ z,u,w)) = K(x,L(z,u,w)). [para(5(a,1),9575(a,1,2,1)),flip(a)]. 9577 K(x,L(x * y,z,u)) = K(x,L(y,z,u)). [para(100(a,1),9575(a,1,2,1,1))]. 9578 K(x,L(x \ y,z,u)) = K(x,L(y,z,u)). [para(5(a,1),9577(a,1,2,1)),flip(a)]. 9579 K(x,L(T(x,y) / z,u,w)) = K(z,L(x,u,w)). [hyper(58,a,9519,a(flip),b,9576,a),flip(a)]. 9580 K(x,L(y \ x,z,u)) = K(y,L(x,z,u)). [para(929(a,1),9579(a,1,2,1))]. 9581 K(x,L(T(x,y) * ((z * L(T(x,y),u,w)) \ T(x,y)),v5,v6)) = K((T(x,y) \ z) * L(T(x,y),u,w),L(x,v5,v6)). [para(1306(a,1),9579(a,1,2,1))]. 9582 K(x,T(L(T(x,y) / z,u,w),v5)) = T(K(z,L(x,u,w)),v5). [para(9579(a,1),3631(a,2,1))]. 9583 T(x,L(y \ x,z,u)) = x * K(y,L(x,z,u)). [para(9580(a,1),2882(a,2,2))]. 9585 T(x,L(y \ x,z,u)) = T(x,L(y,z,u) \ x). [hyper(280,a,9525,a,b,9583,a),flip(a)]. 9586 (x \ y) * K(x,L(y,z,u)) != w | T(x \ y,L(x,z,u) \ 1) = w. [para(9578(a,1),9529(a,1,2))]. 9587 K(x,L(y,z,u)) * (y * w) = y * (K(x,L(y,z,u)) * w). [para(9511(a,1),9531(a,2,2,1))]. 9588 K(x,L((y / (z \ 1)) * (u \ 1),w,v5)) = K(u * (z \ (y \ 1)),L(x,w,v5)). [para(533(a,1),9543(a,1,1,2)),flip(a)]. 9589 K(x,(y * z) / (y * (z * u))) != w | K(u,L(T(x,y * z),z,y)) = w. [para(5462(a,1),9550(a,1))]. 9590 K(x,T(L(T(x,y) / z,u,w),v5)) = K(z,L(T(x,v5),u,w)). [hyper(280,a,3646,a,b,9582,a),flip(a)]. 9591 K(x,L(T(T(x,y) / z,u),w,v5)) = K(z,L(T(x,u),w,v5)). [para(20(a,2),9590(a,1,2))]. 9592 K(x,L(T(y,T(y,z)),u,w)) = K(y,L(x \ T(y,z),u,w)). [para(375(a,1),9591(a,1,2,1)),flip(a)]. 9593 K(x,L(y \ T(x,z),u,w)) = K(y,L(x,u,w)). [para(162(a,1),9592(a,1,2,1)),flip(a)]. 9594 (x * L(y,z,u)) * K(y,L(w,z,u)) = x * L(T(y,w),z,u). [para(20(a,2),9527(a,2,2))]. 9595 K(x / (x * y),L(z,u,w)) != v5 | K(z,L(T(y,x),u,w)) = v5. [para(5604(a,2),9549(a,1))]. 9596 K(x \ y,L(T(z,u * y),y,u)) = K(z,(u * x) / (u * y)). [para(67(a,1),9557(a,1,2,1,2)),flip(a)]. 9597 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(58,a,8425,a(flip),b,9559,a)]. 9598 (x \ K(x,L(y,z,u))) * L(x,z,u) = L(T(x,y),z,u) / x. [para(2486(a,1),9566(a,1,1))]. 9599 L(x \ 1,x,y) * (K(z,x) * u) = L(T(x \ 1,z),x,y) * u. [para(8340(a,1),9568(a,1,2,1))]. 9600 ((x / y) * L(y,z,u)) * K(y \ L(y,z,u),L(w,y,x)) = x * L(T(y \ L(y,z,u),w),y,x). [para(2412(a,1),9594(a,1,1))]. 9601 K(x,T(L(T(y,z * u),u,z),u)) = K(y,(z * (x \ u)) / (z * u)). [hyper(4740,a,9596,a)]. 9602 K(T(x \ y,x),L(T(z,u * T(y,x)),T(y,x),u)) = K(z,(u * x) / (u * T(y,x))). [para(930(a,2),9596(a,1,1))]. 9603 K(L(x,y,z) \ ((x * u) \ L(x,y,z)),L(T(w,v5 * L(x,y,z)),L(x,y,z),v5)) = K(w,(v5 * (x * (u * L(x,y,z)))) / (v5 * L(x,y,z))). [para(1252(a,1),9596(a,1,1))]. 9604 K(x \ (y \ 1),L(T(z,T(y * u,w) / y),y \ 1,T((y \ 1) \ u,w))) = K(z,(T((y \ 1) \ u,w) * x) / (T((y \ 1) \ u,w) * (y \ 1))). [para(4711(a,1),9596(a,1,2,1,2))]. 9605 K(x,(y * T(z,u)) / (y * u)) != w | K(u / z,L(T(x,y * u),u,y)) = w. [para(9596(a,1),5693(a,1))]. 9606 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [para(3714(a,1),9597(a,2,3))]. 9607 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(5202,a,9606,a)]. 9609 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,w,x) = a(u,z,K(x,y)). [hyper(58,a,4859,a,b,9607,a)]. 9610 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(7(a,1),9607(a,1,2))]. 9611 K(x,L(y,z,u)) * (x \ L(x,z,u)) = L(T(x,y),z,u) / x. [hyper(4730,a,9598,a)]. 9612 K(x \ 1,L(y,z \ 1,u)) = K(y,L(x,(z * x) \ 1,u)). [hyper(9547,a,9546,a),flip(a)]. 9613 K(x,L(y,(z * y) \ 1,u)) != w | K(x,L(y,z \ 1,u)) = w. [para(9612(a,1),9547(a,1))]. 9614 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(9555(a,1),3660(a,1))]. 9615 T(x \ (x / y),z) * x = L(T(y \ 1,z),y,x) * x. [hyper(58,a,6022,a,b,9599,a)]. 9616 L(T(x \ 1,y),x,z) * z = T(x,y) \ z. [hyper(58,a,4984,a(flip),b,9615,a),flip(a)]. 9617 K(x,L(T(T(y,z),u * z),z,u)) != w | K(y,(u * z) / (u * (x * z))) = w. [para(9523(a,2),3710(a,1))]. 9618 L(T(x,y),z,u) \ (L(T(x,y),z,u) / x) = x \ 1. [para(9611(a,1),9538(a,1,2))]. 9619 T(x \ 1,y) * L(T(x,z),u,w) = T(x,y) \ L(T(x,z),u,w). [para(9618(a,1),4984(a,1,1,1))]. 9620 L(T(x \ 1,y),z,z \ 1) \ T(x \ 1,y) = T(x,y) \ L(T(x,y),z,z \ 1). [hyper(58,a,7459,a,b,9619,a)]. 9621 L(T(x \ 1,y) * L(T(x \ 1,y) \ 1,z,u),T(x,w),v5) = L(T(x,y) \ L(T(x,y),z,u),x,v5). [para(9619(a,1),9319(a,2,1))]. 9622 K(x,L(T(T(y,z),u * z),z,u)) = K(y,(u * (x \ z)) / (u * z)). [para(104(a,2),9601(a,1,2))]. 9623 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(3979,a,9610,a)]. 9624 K(x \ y,L(T(T(z,y),u * y),y,u)) = K(z,(u * T(x,y)) / (u * y)). [para(411(a,2),9622(a,2,2,1,2))]. 9625 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(58,a,9348,a(flip),b,9623,a)]. 9626 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(8040(a,1),9625(a,2,3))]. 9627 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(70(a,1),9626(a,2,3,1))]. 9630 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(9627(a,1),4273(a,1,2,1)),flip(a)]. 9631 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(280,a,9056,a(flip),b,9630,a),flip(a)]. 9632 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(9631(a,1),2882(a,2,2))]. 9633 L(x,a(y,z,K(u,x)),w) = x. [para(9631(a,1),3366(a,1,2))]. 9634 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(9631(a,1),9098(a,1,3)),flip(a)]. 9635 (x * a(y,z,K(u,w))) * L(w,v5,v6) = x * (a(y,z,K(u,w)) * L(w,v5,v6)). [para(9633(a,1),559(a,1,2,1))]. 9636 (x * a(y,z,K(u,w))) * L(w,v5,v6) != v7 | x * (a(y,z,K(u,w)) * L(w,v5,v6)) = v7. [para(9633(a,1),1176(a,1,2,1))]. 9637 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(58,a,9102,a,b,9634,a)]. 9638 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(9637(a,1),9017(a,1,2))]. 9639 K(x,(y * z) / (y * T(z / u,u \ 1))) != w | K(z / (z * u),L(T(x,y * z),z,y)) = w. [para(4759(a,2),9589(a,1,2,2,2))]. 9640 K(x,L(y,z,u)) * ((L(x,z,u) \ x) \ 1) = (x / L(T(x,y),z,u)) \ 1. [para(20(a,2),9537(a,2,1,2))]. 9641 T(K(x,L(y,z,u)) * w,y) = K(x,L(y,z,u)) * T(w,y). [para(9522(a,1),9564(a,1,1,1))]. 9642 K(x,L(y,z,u)) * ((L(x,z,u) \ x) \ 1) = (L(T(x,y),z,u) \ x) \ 1. [para(744(a,1),9640(a,2,1))]. 9643 K(x,L(y,z,u)) * (x \ L(x,z,u)) = (L(T(x,y),z,u) \ x) \ 1. [para(1262(a,1),9642(a,1,2))]. 9644 (L(T(x,y),z,u) \ x) \ 1 = x \ L(T(x,y),z,u). [hyper(58,a,9567,a(flip),b,9643,a),flip(a)]. 9645 K(x,(y * (z \ u)) / (y * u)) = K(x,(y * u) / (y * (z * u))). [hyper(9617,a,9622,a),flip(a)]. 9646 K(x,(y * ((z \ 1) \ (u \ 1))) / (y * (u \ 1))) = K(x,(y * (u \ 1)) / (y * ((u * z) \ 1))). [para(512(a,1),9645(a,2,2,2,2))]. 9647 K(x,(y * (L(z \ 1,z,u) \ u)) / (y * u)) = K(x,(y * u) / (y * (z \ u))). [para(1063(a,1),9645(a,2,2,2,2))]. 9648 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(8609(a,1),9638(a,1,2)),flip(a)]. 9649 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(280,a,3,a(flip),b,9648,a),flip(a)]. 9651 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(9649(a,1),6616(a,1,2,2)),flip(a)]. 9652 K(x,(y * (z * u)) / (y * u)) = K(x,(y * u) / (y * (z \ u))). [para(3986(a,1),9647(a,1,2,1,2))]. 9653 L(T(x \ 1,y),z,z \ 1) \ T(x \ 1,y) = a(T(x,y),z,z \ 1). [hyper(280,a,3955,a(flip),b,9620,a),flip(a)]. 9654 T(x * ((y * x) \ 1),z) \ T(y \ 1,z) = a(T(y,z),x,x \ 1). [para(7046(a,1),9653(a,1,1))]. 9655 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(280,a,6616,a(flip),b,9651,a),flip(a)]. 9656 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(9655(a,1),2882(a,2,2))]. 9657 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(280,a,2882,a,b,9656,a),flip(a)]. 9658 K(x,L(y,z,z \ K(u,w))) * K(w,u) = ((K(u,w) / z) * (z * K(y,x))) \ 1. [para(3(a,1),9540(a,1,1))]. 9659 (x * K(L(y,z,u) \ y,x)) \ L(x,w,x) = a(u,z,K(x,y)). [para(4341(a,1),9609(a,1,1))]. 9660 K(x,L(y,z,u) \ y) * (x \ L(x,w,x)) = a(u,z,K(x,y)). [hyper(4864,a,9659,a)]. 9661 x \ L(T(x,L(y,z,u) \ y),w,x) = a(u,z,K(x,y)). [hyper(58,a,4159,a(flip),b,9660,a)]. 9662 x \ L(T(x,a(y,z,u)),w,x) = a(y,z,K(x,u)). [para(9657(a,1),9661(a,1,2,1))]. 9663 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(3011,a,9662,a)]. 9664 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(3043,a,9663,a),flip(a)]. 9665 a(x,y,K(z,u)) != w | K(z,a(x,y,u)) = w. [para(9663(a,1),3043(a,1))]. 9666 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [para(9664(a,2),2882(a,2,2)),flip(a)]. 9667 a(x,y,K(z,u)) * z = T(z,a(x,y,u)). [para(9664(a,2),2888(a,2,1)),flip(a)]. 9668 a(x,y,K(z,u)) * z != w | T(z,a(x,y,u)) = w. [para(9664(a,2),2915(a,1,1))]. 9669 (x * y) * a(z,u,K(y,w)) = x * T(y,a(z,u,w)). [para(9664(a,2),3372(a,1,2))]. 9671 a(x,y,K(z,u)) * (z * w) = T(z,a(x,y,u)) * w. [para(9664(a,2),4014(a,1,1))]. 9672 a(x,y,K(z,u)) * (z * w) != v5 | T(z,a(x,y,u)) * w = v5. [para(9664(a,2),4104(a,1,1))]. 9673 (x * y) * a(z,u,K(y,x)) = T(x * y,a(z,u,x)). [para(2908(a,1),9666(a,1,2,3))]. 9674 a(x,y,K(z,u)) * u != w | T(u,a(x,y,z \ 1)) = w. [para(3566(a,1),9668(a,1,1,3))]. 9675 a(x,y,K(z,u)) * (K(w,u) * z) != v5 | T(K(w,u) * z,a(x,y,u)) = v5. [para(4117(a,1),9668(a,1,1,3))]. 9676 a(x,y,K(z,u)) * (K(u,w) * z) != v5 | T(K(u,w) * z,a(x,y,u)) = v5. [para(4120(a,1),9668(a,1,1,3))]. 9677 T(x * y,a(z,u,x)) = x * T(y,a(z,u,x)). [hyper(58,a,9669,a(flip),b,9673,a),flip(a)]. 9678 K(x,(y * ((z / u) \ 1)) / (y * (z \ 1))) = K(x,(y * (z \ 1)) / (y * ((z * u) \ 1))). [para(537(a,1),9646(a,1,2,1,2))]. 9679 ((x * (y * K(z,u))) / K(z,u)) \ (x * y) = (x * y) \ ((x * (y * K(u,z))) * K(z,u)). [para(9396(a,1),9541(a,1,2,1)),flip(a)]. 9680 ((x * (y * K(z,u))) * K(u,z)) \ (x * y) = (x * y) \ ((x * (y * K(u,z))) * K(z,u)). [para(4323(a,1),9679(a,1,1))]. 9681 (((x / y) * (y * K(z,u))) * K(u,z)) \ ((x / y) * y) = x \ (((x / y) * (y * K(u,z))) * K(z,u)). [para(7(a,1),9680(a,2,1))]. 9682 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(9634(a,1),9560(a,1,1))]. 9683 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(8610(a,1),9682(a,1,1))]. 9684 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(113,a,9683,a)]. 9686 K(x,y \ ((y / z) * L(z,u,w))) = K(x,z \ L(z,u,w)). [hyper(58,a,5997,a(flip),b,9684,a)]. 9687 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(58,a,3331,a(flip),b,9684,a)]. 9688 (x * y) * K(z,y \ L(y,u,w)) = x * (y * K(z,y \ L(y,u,w))). [para(9684(a,1),9396(a,1,2))]. 9690 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(9687(a,1),2882(a,2,2)),flip(a)]. 9693 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(2916,a,9690,a),flip(a)]. 9694 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(9693(a,2),835(a,1,1))]. 9696 K(x,(y * z) \ ((z * (T(y,z) * u)) / u)) = K(x,u \ L(u,y,z)). [para(6710(a,1),9686(a,1,2,2))]. 9697 (x * (y * K(z,y \ L(y,u,w)))) \ (x * y) = (x * y) \ ((x * y) / K(z,y \ L(y,u,w))). [para(9688(a,1),304(a,1,1))]. 9698 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(280,a,9632,a(flip),b,9694,a),flip(a)]. 9699 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(3827,a,9698,a)]. 9700 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(2851,a,9699,a),flip(a)]. 9701 K(a(x,y,y),z) = 1. [hyper(58,a,3125,a(flip),b,9700,a),flip(a)]. 9702 K(a(x,y,z),y) = 1. [hyper(58,a,3122,a(flip),b,9700,a),flip(a)]. 9703 K(a(x,y,z),z) = 1. [hyper(58,a,327,a(flip),b,9700,a),flip(a)]. 9704 K(x,((y * z) * u) \ (y * (z * u))) = a(y,z,K(u,x)). [hyper(3828,a,9700,a(flip))]. 9705 T(x * a(y,z,K(u,x)),a(y,z,u)) = x. [para(9700(a,2),2800(a,1,1,2))]. 9706 a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). [para(9700(a,2),2888(a,2,1)),flip(a)]. 9708 a(x,y,K(z,u)) * (a(x,y,z) \ 1) = a(x,y,z) \ K(a(x,y,z),u). [para(9700(a,2),4029(a,1,1))]. 9709 a(x,y,K(z,u)) * (u * w) = u * (K(a(x,y,z),u) * w). [para(9700(a,2),4183(a,1,1))]. 9710 a(x,y,K(z,u)) * (u \ w) = T(u,a(x,y,z)) \ w. [para(9700(a,2),4276(a,1,1))]. 9711 T(a(x,y,z),u \ a(x,y,z)) \ w = a(x,y,K(z,u)) * (a(x,y,z) \ w). [para(9700(a,2),4379(a,2,1))]. 9712 a(x,y,K(z,u)) * (u \ w) != v5 | T(u,a(x,y,z)) \ w = v5. [para(9700(a,2),4447(a,1,1))]. 9713 (L(x,y,z) * u) * a(w,v5,K(v6,x)) = L(x,y,z) * (u * K(a(w,v5,v6),x)). [para(9700(a,2),5035(a,1,2))]. 9714 (a(x,y,K(z,u)) * w) \ (w * v5) = w \ ((K(u,a(x,y,z)) * w) * v5). [para(9700(a,2),7843(a,1,1,1))]. 9715 T(a(x,y,y),z) = a(x,y,y). [hyper(51,a,9701,a)]. 9716 T(a(x,y,z),y) = a(x,y,z). [hyper(51,a,9702,a)]. 9717 T(a(x,y,z),z) = a(x,y,z). [hyper(51,a,9703,a)]. 9718 T(x,a(y,z,z)) = x. [hyper(49,a,9715,a)]. 9719 a(x,y,y) / z = z \ a(x,y,y). [hyper(112,a,9715,a(flip),b,898,a(flip))]. 9720 a(x,y,y) * z = z * a(x,y,y). [para(9715(a,1),101(a,1,2)),flip(a)]. 9722 x / a(y,z,z) != u | a(y,z,z) \ x = u. [para(9715(a,1),431(a,1,2))]. 9723 a(x,y,y) * z != u | z * a(x,y,y) = u. [para(9718(a,1),259(a,1,2))]. 9724 T(x,a(y,x,z)) = x. [hyper(49,a,9716,a)]. 9725 a(x,y,z) * y = y * a(x,y,z). [para(9716(a,1),101(a,1,2)),flip(a)]. 9726 x / a(y,x,z) = a(y,x,z) \ x. [para(9716(a,1),428(a,1,2))]. 9727 a(x,y,z) * z = z * a(x,y,z). [para(9717(a,1),101(a,1,2)),flip(a)]. 9728 K(a(x,y,z),u * z) * a(x,y,z) = T(T(a(x,y,z),z),z * u). [para(9717(a,1),3906(a,1,2))]. 9729 (x * a(y,x,z)) * L(x \ (a(y,x,z) \ x),u,w) = x * (a(y,x,z) * L(a(y,x,z) \ 1,u,w)). [para(9726(a,1),1566(a,1,2,1,2))]. 9730 K(x,(y * z) \ ((y * (z * u)) / u)) = a(y,z,K(u,x)). [para(2420(a,1),9704(a,1,2))]. 9731 K(x,(y * z) \ ((z * (T(y,z) * u)) / u)) = a(z,T(y,z),K(u,x)). [para(101(a,1),9730(a,1,2,1))]. 9732 K(x,a(y,z,K(u,w))) * ((y * z) \ ((y * (z * u)) / u)) = T((y * z) \ ((y * (z * u)) / u),K(x,w)). [para(9730(a,1),5311(a,1,1,2))]. 9733 a(x,y,K(z,u)) * (u * w) = u * (a(x,y,K(z,u)) * w). [para(9700(a,2),9709(a,2,2,1))]. 9734 a(x,y,K(z,u * z)) * a(x,y,z) = T(T(a(x,y,z),z),z * u). [para(9700(a,2),9728(a,1,1))]. 9735 T(T(a(x,y,z),z),z * u) = a(x,y,K(z,u)) * a(x,y,z). [para(2840(a,1),9734(a,1,1,3)),flip(a)]. 9736 T(T(a(x,y,z),z),z * u) = T(a(x,y,z),u). [hyper(280,a,9706,a(flip),b,9735,a),flip(a)]. 9737 T(a(x,y,z),z * u) = T(a(x,y,z),u). [para(9717(a,1),9736(a,1,1))]. 9738 T(a(x,y,z),z \ u) = T(a(x,y,z),u). [para(5(a,1),9737(a,1,2)),flip(a)]. 9739 T(a(x,y,z),z * ((u / w) \ 1)) != v5 | T(a(x,y,z),w / u) = v5. [para(9737(a,2),5687(a,1))]. 9740 a(x,y,K(z,u)) * (a(x,y,z) \ 1) = a(x,y,z) \ a(x,y,K(z,u)). [para(9700(a,2),9708(a,2,2))]. 9741 a(x,y,K(z,u)) * (a(x,y,z) \ w) = T(a(x,y,z),u \ 1) \ w. [para(3516(a,2),9711(a,1,1)),flip(a)]. 9742 a(x,y,z) \ a(x,y,K(z,u)) = T(a(x,y,z),u \ 1) \ 1. [hyper(58,a,9740,a(flip),b,9741,a)]. 9743 a(x,y,z) \ a(x,y,K(z,u)) = T(a(x,y,z) \ 1,u \ 1). [hyper(280,a,3611,a,b,9742,a),flip(a)]. 9744 (L(x,y,z) * u) * a(w,v5,K(v6,x)) = L(x,y,z) * (u * a(w,v5,K(v6,x))). [para(9700(a,2),9713(a,2,2,2))]. 9745 L(x,y,z) \ (u * a(w,v5,K(v6,x))) = (L(x,y,z) \ u) * a(w,v5,K(v6,x)). [hyper(674,a,9744,a)]. 9746 T((x * a(y,z,K(u,w))) * L(w,v5,v6),L(w,v5,v6) \ 1) = (L(w,v5,v6) * x) * a(y,z,K(u,w)). [hyper(280,a,3514,a,b,9744,a)]. 9747 L(x,y,z) * (T(u,L(x,y,z)) * a(w,v5,K(v6,x))) = (u * L(x,y,z)) * a(w,v5,K(v6,x)). [para(101(a,1),9744(a,1,1)),flip(a)]. 9748 L(x,y,z) * ((L(x,y,z) \ u) * a(w,v5,K(v6,x))) != v7 | u * a(w,v5,K(v6,x)) = v7. [para(9744(a,1),628(a,1))]. 9749 L(x,y,z) * ((L(x,y,z) \ u) * a(w,v5,K(v6,x))) != u * v7 | a(w,v5,K(v6,x)) = v7. [para(9745(a,1),116(a,1,2)),flip(b)]. 9750 (x * y) \ ((x * y) / K(z,y \ L(y,u,w))) = K(y \ L(y,u,w),L(z,y,x)). [hyper(9434,a,9697,a),flip(a)]. 9751 (x * y) \ ((x * y) * K(y \ L(y,z,u),w)) = K(y \ L(y,z,u),L(w,y,x)). [para(4323(a,1),9750(a,1,2))]. 9752 (x * y) \ ((x * y) * K(z,L(y,u,w) \ y)) = K(y \ L(y,u,w),L(z,y,x)). [para(3570(a,1),9751(a,1,2,2))]. 9753 K(x \ L(x,y,z),L(u,x,w)) = K(u,L(x,y,z) \ x). [hyper(267,a,9752,a),flip(a)]. 9754 K(x \ L(x,y,z),L(u,x,w)) != v5 | K(u,L(x,y,z) \ x) = v5. [para(9752(a,1),265(a,1)),flip(b)]. 9756 K(x,(y * L(z,u,w)) \ (y * z)) = K(x,L(z,u,w) \ z). [hyper(58,a,9563,a(flip),b,9753,a)]. 9757 (x * L(y,z,u)) * K(w,L(y,z,u) \ y) = x * (y * T(y \ L(y,z,u),w)). [para(9756(a,1),3887(a,1,2))]. 9758 K(x,(y * L(z,u,w)) \ (y * z)) != v5 | K(x,L(z,u,w) \ z) = v5. [para(9563(a,1),9754(a,1))]. 9759 ((x / y) * L(y,z,u)) * K(w,L(y,z,u) \ y) = x * L(T(y \ L(y,z,u),w),y,x). [para(9753(a,1),9600(a,1,2))]. 9760 (x / y) * (y * T(y \ L(y,z,u),w)) = x * L(T(y \ L(y,z,u),w),y,x). [hyper(58,a,9757,a(flip),b,9759,a)]. 9763 T(x * (a(y,z,K(u,w)) * L(w,v5,v6)),L(w,v5,v6) \ 1) = (L(w,v5,v6) * x) * a(y,z,K(u,w)). [para(9635(a,1),9746(a,1,1))]. 9764 L(T(x \ 1,y) * L(T((x \ 1) \ 1,y),z,u),T(x,w),v5) = L(T(x,y) \ L(T(x,y),z,u),x,v5). [para(3611(a,2),9621(a,1,1,2,1))]. 9765 (((x / y) * (y * K(z,u))) * K(u,z)) \ x = x \ (((x / y) * (y * K(u,z))) * K(z,u)). [para(7(a,1),9681(a,1,2))]. 9766 L(T(x \ 1,y) * L(T(x,y),z,u),T(x,w),v5) = L(T(x,y) \ L(T(x,y),z,u),x,v5). [para(378(a,1),9764(a,1,1,2,1,1))]. 9767 L(T(x,y) \ L(T(x,y),z,u),T(x,w),v5) = L(T(x,y) \ L(T(x,y),z,u),x,v5). [para(9619(a,1),9766(a,1,1))]. 9768 x * L(T(y,z) \ L(T(y,z),u,w),y,x) = (x / T(y,z)) * L(T(y,z),u,w). [para(9767(a,1),2412(a,1,2))]. 9769 (x * (y * K(x,z))) \ (x * (y * K(x,L(z,u,w)))) = (x * y) \ (((x * y) / K(x,z)) * L(K(x,z),u,w)). [para(5014(a,1),9405(a,1,2))]. 9770 ((x / y) * y) \ ((x * K(z,L(u,y,y \ x))) / K(z,u)) = (x * T(K(z,u),y)) \ ((x / y) * (K(z,u) * y)). [para(7(a,1),9453(a,2,1,1))]. 9772 ((x / y) * y) \ ((x * K(z,L(u,y,y \ x))) / K(z,u)) = (x * K(z,T(u,y))) \ ((x / y) * (K(z,u) * y)). [para(3631(a,2),9770(a,2,1,2))]. 9773 (x * K(y,T(z,u))) \ ((x / u) * (K(y,z) * u)) = x \ ((x * K(y,L(z,u,u \ x))) / K(y,z)). [para(7(a,1),9772(a,1,1)),flip(a)]. 9774 (x * K(y,T(z,u))) \ ((x / u) * (K(y,z) * u)) = x \ (((x / u) * (u * K(y,z))) / K(y,z)). [para(9401(a,1),9773(a,2,2,1))]. 9775 (x * K(y,T(z,u))) \ ((x / u) * (K(y,z) * u)) = x \ (((x / u) * (u * K(y,z))) * K(z,y)). [para(4323(a,1),9774(a,2,2))]. 9776 (x * y) \ (((x * y) * K(L(z,y,x),u)) * L(L(K(u,z),y,x),w,v5)) = (x * (y * K(u,z))) \ (x * (y * L(K(u,z),w,v5))). [para(4323(a,1),9406(a,1,2,1))]. 9777 (x * y) \ (((x * y) * K(L(z,y,x),u)) * L(K(u,L(z,y,x)),w,v5)) = (x * (y * K(u,z))) \ (x * (y * L(K(u,z),w,v5))). [para(9384(a,1),9776(a,1,2,2,1))]. 9778 (x * y) \ (((x * y) * K(L(z,y,x),u)) * K(u,L(L(z,y,x),w,v5))) = (x * (y * K(u,z))) \ (x * (y * L(K(u,z),w,v5))). [para(9384(a,1),9777(a,1,2,2))]. 9779 (x * y) \ ((x * y) * (K(z,L(L(u,y,x),w,v5)) * K(L(u,y,x),z))) = (x * (y * K(z,u))) \ (x * (y * L(K(z,u),w,v5))). [para(5948(a,1),9778(a,1,2))]. 9780 (x * (y * K(z,u))) \ (x * (y * L(K(z,u),w,v5))) = K(z,L(L(u,y,x),w,v5)) * K(L(u,y,x),z). [hyper(267,a,9779,a),flip(a)]. 9782 (x * (y * K(z,u))) \ (x * (y * K(z,L(u,w,v5)))) = K(z,L(L(u,y,x),w,v5)) * K(L(u,y,x),z). [para(9384(a,1),9780(a,1,2,2,2))]. 9783 (x * y) \ (((x * y) / K(x,z)) * L(K(x,z),u,w)) = K(x,L(L(z,y,x),u,w)) * K(L(z,y,x),x). [hyper(58,a,9769,a(flip),b,9782,a)]. 9784 (x * y) \ (((x * y) / K(x,z)) * L(K(x,z),u,w)) = K(x,L(z,u,w)) * K(L(z,y,x),x). [para(5057(a,1),9783(a,2,1))]. 9785 (x * y) \ (((x * y) / K(x,z)) * L(K(x,z),u,w)) = K(x,L(z,u,w)) * K(z,x). [hyper(280,a,5045,a(flip),b,9784,a),flip(a)]. 9788 (x * (y \ z)) \ (((x * (y \ z)) / K(u,L(y,T(z,y),x))) * K(u,y)) = ((x * T(z / T(y,u),y)) / K(u,y)) \ (x * (y \ z)). [para(9421(a,2),9496(a,1,2,1,2))]. 9789 (x * (y \ z)) \ (((x * (y \ z)) * K(L(y,T(z,y),x),u)) * K(u,y)) = ((x * T(z / T(y,u),y)) / K(u,y)) \ (x * (y \ z)). [para(4323(a,1),9788(a,1,2,1))]. 9790 (x * (y \ z)) \ (((x * (y \ z)) * K(y,L(u,T(z,y),x))) * K(u,y)) = ((x * T(z / T(y,u),y)) / K(u,y)) \ (x * (y \ z)). [para(9511(a,1),9789(a,1,2,1,2))]. 9791 (x * (y \ z)) \ ((x * (y \ z)) * (K(u,y) * K(y,L(u,T(z,y),x)))) = ((x * T(z / T(y,u),y)) / K(u,y)) \ (x * (y \ z)). [para(9041(a,1),9790(a,1,2))]. 9792 ((x * T(y / T(z,u),z)) / K(u,z)) \ (x * (z \ y)) = K(u,z) * K(z,L(u,T(y,z),x)). [hyper(267,a,9791,a),flip(a)]. 9794 ((x * T(y / T(z,u),z)) * K(z,u)) \ (x * (z \ y)) = K(u,z) * K(z,L(u,T(y,z),x)). [para(4323(a,1),9792(a,1,1))]. 9795 ((x * T(y / T(z,u),z)) * K(z,u)) \ (x * (z \ y)) = K(u,z) * K(z,L(u,y,x)). [para(8509(a,1),9794(a,2,2))]. 9796 (x / y) * T((y \ x) \ (K(y,L(x,z,u)) * (T(y,x) \ x)),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(4013(a,1),9412(a,1,2,1,2,2))]. 9797 (x / y) * T((y \ x) \ (K(y,L(x,z,u)) * T(y \ x,x)),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(432(a,2),9796(a,1,2,1,2,2))]. 9798 (x / y) * T((y \ x) \ T(K(y,L(x,z,u)) * (y \ x),x),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(9641(a,2),9797(a,1,2,1,2))]. 9799 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(5277(a,1),9074(a,1,1,3,1))]. 9800 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(4724(a,1),9107(a,1,2,1))]. 9801 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(6235(a,1),9800(a,1,2,2)),flip(a)]. 9802 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(5798(a,1),9801(a,2,2))]. 9803 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(4(a,1),9802(a,2,2,1))]. 9804 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(7694(a,1),9803(a,1,1,2))]. 9805 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7856(a,1),9804(a,1,1))]. 9806 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(7694(a,1),9805(a,1,2,1))]. 9808 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(671(a,1),9806(a,1,2,2))]. 9809 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(3901(a,1),9808(a,1,2))]. 9810 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(5937(a,1),9809(a,1,2)),flip(a)]. 9811 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(280,a,4529,a,b,9810,a),flip(a)]. 9813 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(8539,a,9811,a),flip(a)]. 9814 L(T((x \ 1) * K(y,z),K(z,y)),u,w) * (K(z,T(y,L((K(z,y) * x) \ 1,u,w))) * x) = (K(z,y) * x) * L((K(z,y) * x) \ 1,u,w). [para(20(a,2),9336(a,1,1))]. 9815 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(6579(a,1),9799(a,1,1,3))]. 9816 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(3658(a,2),9815(a,1,1,3))]. 9818 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(5277(a,1),9816(a,1,2,1,1))]. 9819 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(8988(a,1),9818(a,1,2))]. 9820 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(5277(a,1),9819(a,2,2,1))]. 9821 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(6579(a,1),9820(a,2,2))]. 9822 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(3658(a,2),9821(a,2,2))]. 9824 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(5951(a,1),9822(a,1,1))]. 9825 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(8987,a,9824,a),flip(a)]. 9826 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(58,a,3695,a(flip),b,9825,a)]. 9827 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [hyper(4765,a,9826,a)]. 9828 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(280,a,6943,a(flip),b,9827,a),flip(a)]. 9829 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(29,a,5423,a,b,9828,a)]. 9830 R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). [hyper(58,a,9345,a,b,9829,a)]. 9831 R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(2800(a,1),9830(a,1,1,2))]. 9832 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(6122(a,1),9831(a,1,1))]. 9833 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). [para(2800(a,1),9832(a,2,2))]. 9835 R(K(x * y,y),x,z) = K(x * y,y). [hyper(280,a,6122,a(flip),b,9833,a),flip(a)]. 9837 R(K(x * y,x),y,z) = K(y * x,x). [para(2857(a,1),9835(a,1,1))]. 9838 ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). [hyper(58,a,2311,a,b,9837,a)]. 9839 ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). [para(3791(a,1),9838(a,1,1,1))]. 9840 (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). [para(6592(a,1),9839(a,1,1,1))]. 9841 (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(96(a,1),9840(a,1,1))]. 9842 ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(4229(a,1),9841(a,1,1,1))]. 9843 K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). [para(6039(a,1),9842(a,1,1,1)),flip(a)]. 9844 K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). [hyper(280,a,15,a,b,9843,a),flip(a)]. 9845 K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). [hyper(3996,a,9844,a)]. 9846 K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). [para(2857(a,1),9845(a,2,1))]. 9847 K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). [para(94(a,1),9846(a,1,1,2))]. 9848 K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). [para(1154(a,1),9847(a,1,1,2,2,1))]. 9849 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). [hyper(58,a,9358,a(flip),b,9848,a),flip(a)]. 9850 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). [hyper(280,a,2473,a(flip),b,9849,a),flip(a)]. 9851 R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). [para(9370(a,1),9850(a,1,1))]. 9852 x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). [para(9851(a,1),5897(a,1,2,2))]. 9855 R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). [hyper(5540,a,9852,a),flip(a)]. 9856 (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). [para(9855(a,1),7809(a,1,1,2))]. 9857 R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). [hyper(4462,a,9856,a),flip(a)]. 9858 R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). [para(3638(a,1),9857(a,1,1))]. 9859 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). [hyper(280,a,6327,a,b,9858,a)]. 9860 L(K(x,y) * (z \ 1),u,w) * (K(y,T(x,L((K(y,x) * z) \ 1,u,w))) * z) = (K(y,x) * z) * L((K(y,x) * z) \ 1,u,w). [para(3528(a,1),9814(a,1,1,1))]. 9861 L(K(x,y) * (z \ 1),u,w) * (K(y,T(x,L((z \ 1) * K(x,y),u,w))) * z) = (K(y,x) * z) * L((K(y,x) * z) \ 1,u,w). [para(3427(a,1),9860(a,1,2,1,2,2,1))]. 9862 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(z \ 1,z),x),T((x \ 1) \ 1,y)). [para(1255(a,1),2134(a,1,1,1))]. 9863 (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x) = x * T(x \ T(x * K(z \ 1,z),y),T((y \ 1) \ 1,x)). [para(3185(a,1),9862(a,1,1))]. 9864 x * T(x \ T(x * K(y \ 1,y),z),T((z \ 1) \ 1,x)) = z * (T((z \ 1) \ 1,x) \ x). [para(2964(a,1),9863(a,1,1)),flip(a)]. 9865 x * T(x \ T(x * K(y \ 1,y),z),T((z \ 1) \ 1,x)) = z \ (x * (1 / (1 / z))). [hyper(280,a,6421,a(flip),b,9864,a),flip(a)]. 9866 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(5242(a,1),9865(a,1,2,1))]. 9867 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(378(a,1),9866(a,1,2,2,1))]. 9868 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(6054(a,1),9867(a,1,2)),flip(a)]. 9869 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(9868(a,1),5099(a,1,1,1)),flip(a)]. 9871 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(1787(a,1),9869(a,1,1)),flip(a)]. 9872 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(280,a,6875,a(flip),b,9871,a),flip(a)]. 9873 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(280,a,6517,a(flip),b,9872,a),flip(a)]. 9874 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(58,a,3264,a(flip),b,9873,a)]. 9875 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(58,a,6521,a(flip),b,9874,a)]. 9876 K(x \ y,T(y,z)) = K(y,T(x,z)). [hyper(3603,a,9875,a),flip(a)]. 9878 K(x / y,T(x,z)) = K(x,T(y,z)). [hyper(5663,a,9876,a)]. 9879 K(x,T(y \ x,z)) = K(y,T(x,z)). [hyper(58,a,3796,a(flip),b,9876,a),flip(a)]. 9880 T(x,T(y \ x,z)) \ u = K(x,T(y,z)) * (x \ u). [para(9876(a,1),4380(a,1,1)),flip(a)]. 9881 T(T(x,K(y,T(z,u))),y / (T(y,u) * z)) = T(x,T(y,u) \ (y / z)). [para(9878(a,1),6973(a,1,1,2))]. 9882 T(x,T(y \ x,z)) = x * K(y,T(x,z)). [para(9879(a,1),2882(a,2,2))]. 9883 (x * y) * K(z,T(y,u)) = x * T(y,T(z \ y,u)). [para(9879(a,1),3372(a,1,2))]. 9884 T(T(x,y),T(z \ T(x,y),u)) = T(x * K(z,T(x,u)),y). [hyper(280,a,6067,a(flip),b,9882,a),flip(a)]. 9885 T(x,T(y \ x,z)) = T(x,T(y,z) \ x). [hyper(4492,a,9880,a),flip(a)]. 9886 T(T(x,y),T(z \ T(x,y),u)) = T(T(x,T(z \ x,u)),y). [para(9882(a,2),9884(a,2,1))]. 9887 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(2726(a,2),7920(a,1,2,1))]. 9888 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(2726(a,2),9887(a,1,2,1,1))]. 9889 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(96(a,1),9888(a,1,2)),flip(a)]. 9890 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(96(a,1),9889(a,2,2,1))]. 9891 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(5062(a,1),9890(a,2,2,1,1))]. 9892 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(280,a,7834,a(flip),b,9891,a),flip(a)]. 9893 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(280,a,7789,a(flip),b,9892,a),flip(a)]. 9894 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(662(a,1),9893(a,1,2,2,2))]. 9895 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(58,a,7916,a(flip),b,9894,a),flip(a)]. 9896 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(7923,a,9895,a),flip(a)]. 9897 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(4147,a,9896,a),flip(a)]. 9899 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(58,a,9222,a(flip),b,9897,a),flip(a)]. 9900 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(606(a,1),9899(a,1,2,1)),flip(a)]. 9901 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(7828(a,1),6899(a,1,1,1))]. 9902 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(7833(a,1),9901(a,1,1)),flip(a)]. 9903 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [hyper(280,a,7901,a(flip),b,9902,a),flip(a)]. 9905 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(7828(a,1),9903(a,1,1))]. 9906 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [hyper(58,a,8025,a,b,9905,a)]. 9907 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(7828(a,1),9906(a,1,2,1))]. 9908 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(7885(a,1),9907(a,1,2))]. 9909 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6549(a,1),9908(a,1,2,2))]. 9911 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6825(a,1),9909(a,1,2,2))]. 9912 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [hyper(5291,a,9911,a),flip(a)]. 9914 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(7312,a,9912,a)]. 9915 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(9121,a,9914,a),flip(a)]. 9916 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(5403,a,9914,a),flip(a)]. 9917 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(5376,a,9914,a)]. 9918 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(720(a,1),9914(a,1,2,2)),flip(a)]. 9919 K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). [para(9917(a,2),8112(a,1,2))]. 9920 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(9919(a,1),9859(a,2,1))]. 9921 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(9916(a,1),7500(a,1,2))]. 9922 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(8847,a,9918,a),flip(a)]. 9923 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(5437(a,1),9922(a,1,2)),flip(a)]. 9924 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(5465(a,1),9923(a,1,2)),flip(a)]. 9925 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(378(a,1),9924(a,1,2,2,2)),flip(a)]. 9926 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(5717,a,9925,a),flip(a)]. 9927 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(9926(a,1),3004(a,1,1))]. 9928 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [hyper(9127,a,9915,a)]. 9929 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(3662(a,1),9928(a,1,2)),flip(a)]. 9930 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(9122,a,9929,a)]. 9931 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(280,a,2882,a(flip),b,9930,a)]. 9932 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(29,a,2882,a(flip),b,9931,a)]. 9933 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(58,a,9296,a,b,9932,a)]. 9934 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(2484(a,1),9920(a,1,1))]. 9937 1 * K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). [para(2947(a,1),9934(a,1,2))]. 9938 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [hyper(113,a,9937,a),flip(a)]. 9939 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(2943(a,1),9938(a,1,1)),flip(a)]. 9940 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(4190(a,1),9938(a,1,1))]. 9941 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(9939(a,1),9940(a,1,1)),flip(a)]. 9942 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(280,a,9138,a(flip),b,9933,a),flip(a)]. 9943 K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. [hyper(3311,a,9942,a)]. 9945 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(4271(a,1),9943(a,1,2))]. 9946 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(9945(a,1),4245(a,1,1))]. 9947 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(9286(a,1),9946(a,1,2))]. 9948 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(113,a,9947,a)]. 9949 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(5297(a,1),9947(a,1,2,1))]. 9950 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(4283,a,9948,a)]. 9951 T(x,y) * a(K(x,y),z,u) = x * R(K(x,y),z,u). [para(9948(a,1),4293(a,1,2))]. 9952 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(9948(a,1),5945(a,2,2))]. 9953 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(7782(a,1),9948(a,1,2))]. 9954 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(7954(a,1),9948(a,1,2))]. 9955 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(9948(a,1),8648(a,1,1,2))]. 9956 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(9948(a,1),9218(a,2,2))]. 9957 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(9948(a,1),9274(a,1,1)),flip(a)]. 9958 (T(K(x,y) * z,x) * u) / (T(z,x) * u) = K(x,y) * a(K(x,y),T(z,x),u). [hyper(280,a,6035,a,b,9950,a)]. 9959 ((K(x,y) * z) * u) / (z * u) = K(x,y) * a(K(x,y),z,u). [hyper(280,a,15,a(flip),b,9950,a)]. 9960 T(x,y \ 1) * a(K(y,x),z,u) = x * R(K(y,x),z,u). [para(9950(a,1),4077(a,2,2))]. 9961 (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(9950(a,1),7394(a,1,1)),flip(a)]. 9962 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(9954(a,1),4078(a,1,2)),flip(a)]. 9963 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(9954(a,1),9813(a,1,1))]. 9964 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(58,a,7734,a,b,9952,a)]. 9965 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(58,a,5853,a,b,9952,a)]. 9966 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(9948(a,1),9955(a,1,2))]. 9967 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(111,a,102,a(flip),b,9966,a)]. 9968 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(9037,a,9957,a)]. 9970 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(9957(a,1),9037(a,1))]. 9971 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(3723,a,9962,a)]. 9972 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(9968(a,1),9298(a,1,1,1))]. 9973 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(9971(a,2),38(a,1))]. 9974 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(280,a,6240,a(flip),b,9953,a),flip(a)]. 9975 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(58,a,9325,a(flip),b,9953,a)]. 9976 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(7882(a,1),9949(a,1,2,2))]. 9977 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(9237(a,1),9976(a,1,2))]. 9978 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(4(a,1),9964(a,1,2,1,2,1))]. 9980 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(7861(a,1),9978(a,1,2))]. 9981 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(4357(a,2),9980(a,1,1))]. 9982 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(280,a,7925,a(flip),b,9975,a),flip(a)]. 9983 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(9974(a,1),9982(a,1,1)),flip(a)]. 9984 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(3163(a,1),9981(a,1,2))]. 9985 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(280,a,9965,a(flip),b,9961,a),flip(a)]. 9986 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(333(a,1),9972(a,1,1)),flip(a)]. 9987 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(280,a,5239,a(flip),b,9986,a),flip(a)]. 9988 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(5254(a,1),9987(a,1,2,1,1))]. 9989 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(7883(a,1),9988(a,1,2,1))]. 9990 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(2888(a,2),9989(a,1,2))]. 9991 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(58,a,9912,a,b,9990,a)]. 9992 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(5287(a,1),9991(a,1,1))]. 9993 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(9126,a,9992,a)]. 9994 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(58,a,9956,a(flip),b,9993,a),flip(a)]. 9995 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(29,a,2882,a(flip),b,9994,a),flip(a)]. 9996 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(9970,a,9995,a)]. 9997 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(9996(a,1),9977(a,1,2))]. 9998 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(113,a,9997,a),flip(a)]. 9999 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(280,a,9995,a,b,9998,a),flip(a)]. 10000 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(5277(a,1),9998(a,1,1))]. 10001 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(5277(a,1),9999(a,1,1))]. 10002 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5254(a,1),9927(a,1,2,1,2))]. 10003 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(3566(a,1),10002(a,1,2,1,2,2))]. 10004 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5288(a,1),10003(a,1,2,1,2))]. 10005 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5350(a,1),10004(a,1,2,1,2))]. 10006 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(2949(a,2),10005(a,1,2,1))]. 10007 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(4752,a,10006,a)]. 10008 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(5308(a,1),10007(a,1,1)),flip(a)]. 10009 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(3358(a,1),10008(a,2,2))]. 10010 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(280,a,5328,a(flip),b,10009,a),flip(a)]. 10012 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(280,a,6075,a(flip),b,6311,a),flip(a)]. 10013 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(280,a,5281,a(flip),b,10012,a),flip(a)]. 10023 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(K(z \ x,z) * w,R(z \ x,x,y))) * R(K(z \ x,z) * K(w,K(z \ x,z)),x,y). [para(7885(a,1),7859(a,2,1))]. 10024 ((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(9384(a,1),8641(a,1,2,2))]. 10025 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(280,a,4,a(flip),b,9287,a),flip(a)]. 10027 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(9285(a,1),10025(a,1,3))]. 10029 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(9948(a,1),10027(a,1,3))]. 10030 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [hyper(1844,a,10029,a),flip(a)]. 10032 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(58,a,9985,a(flip),b,10030,a),flip(a)]. 10033 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(4268(a,1),10032(a,1,2))]. 10034 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(5435(a,1),10033(a,1,1,1)),flip(a)]. 10035 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(227,a,10034,a),flip(a)]. 10036 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(280,a,9963,a(flip),b,10035,a)]. 10037 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(160(a,1),10036(a,2,1,2))]. 10038 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(7381,a,10037,a)]. 10039 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(7(a,1),10037(a,1,1))]. 10040 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(58,a,4633,a(flip),b,10039,a)]. 10041 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(58,a,8542,a(flip),b,10040,a)]. 10042 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [para(2906(a,1),10041(a,2,1))]. 10043 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(3043,a,10042,a),flip(a)]. 10044 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(10043(a,1),10000(a,2,2))]. 10045 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(10037(a,1),10038(a,1,1))]. 10046 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(58,a,9983,a,b,10045,a)]. 10047 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(w,R(z \ x,x,y))) * R(K(z \ x,z) * K(w,K(z \ x,z)),x,y). [para(6551(a,1),10023(a,2,1,2))]. 10049 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,R(w,x,y))) * R(K(z \ x,z) * K(w,K(z \ x,z)),x,y). [para(7892(a,1),10047(a,2,1))]. 10050 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,w)) * R(K(z \ x,z) * K(w,K(z \ x,z)),x,y). [para(7891(a,1),10049(a,2,1))]. 10051 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,w)) * R(K(z \ x,T(z,w)),x,y). [para(5343(a,1),10050(a,2,2,1))]. 10053 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,w)) * R(K(x \ y,T(x,w)),y,z). [para(7841(a,1),10051(a,1,1))]. 10054 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(8995,a,10053,a),flip(a)]. 10055 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(9254(a,1),10054(a,1,2))]. 10056 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(9310,a,10055,a),flip(a)]. 10057 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(280,a,9070,a(flip),b,10056,a),flip(a)]. 10059 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(58,a,7943,a(flip),b,10057,a)]. 10060 K((x * y) / (z * y),z) = K(z \ x,z). [hyper(58,a,2858,a(flip),b,10059,a)]. 10061 K(R(x,y,z),y) = K(y \ (y * x),y). [para(4(a,1),10059(a,1,1,1))]. 10062 K(R(x,y,z),y) = K(x,y). [hyper(280,a,2460,a(flip),b,10061,a),flip(a)]. 10063 K(R(x,y,z),y) != u | K(x,y) = u. [para(10061(a,2),3862(a,1))]. 10065 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [hyper(58,a,7946,a(flip),b,10062,a)]. 10066 K(x,R(y,x,z)) = K(x,y). [hyper(58,a,7944,a(flip),b,10062,a)]. 10067 K(x / (1 / y),1 / y) = K(x * y,1 / y). [para(663(a,1),10062(a,1,1)),flip(a)]. 10069 L(K(x,y),z,y * x) = K(x,y). [hyper(58,a,9246,a,b,10066,a)]. 10070 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(58,a,7929,a(flip),b,10066,a)]. 10071 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(663(a,1),10066(a,1,2)),flip(a)]. 10072 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(10066(a,1),9921(a,1,2,2))]. 10074 L(K(x,y),z,y * x) = K(x,L(y,x,u)). [hyper(280,a,5162,a,b,10069,a),flip(a)]. 10075 K(x,R(y,x,z)) != u | K(x,y) = u. [para(7944(a,1),10063(a,1))]. 10077 K(x / (y * z),y) = K(y \ (x / z),y). [para(7(a,1),10060(a,1,1,1))]. 10078 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(4898,a,10070,a)]. 10080 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(58,a,8473,a,b,10070,a)]. 10081 K(x,L(y,x,z)) != u | K(x,y) = u. [para(10074(a,1),545(a,1)),flip(b)]. 10084 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(850(a,1),10081(a,1,2))]. 10086 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(4899,a,10077,a)]. 10087 K(x,y / (x * z)) = K(x,y / z). [hyper(280,a,2975,a(flip),b,10078,a),flip(a)]. 10088 K(T(x,y),z / ((y \ 1) * x)) = K(T(x,y),z / (y \ 1)). [para(3507(a,1),10087(a,1,2,2))]. 10089 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(4(a,1),10080(a,1,2,1)),flip(a)]. 10091 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(58,a,8488,a,b,10086,a)]. 10092 K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). [hyper(58,a,8049,a,b,10086,a)]. 10093 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(9212,a,10089,a),flip(a)]. 10094 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(10091(a,1),3772(a,1,1))]. 10096 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(58,a,7811,a,b,10065,a)]. 10097 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3670(a,1),10084(a,1))]. 10098 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(58,a,8269,a(flip),b,10093,a)]. 10100 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(58,a,8462,a(flip),b,10098,a)]. 10101 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(10067(a,1),6145(a,2,2))]. 10102 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(10071(a,1),6317(a,1,2,2))]. 10103 (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). [para(10092(a,1),4924(a,1,1,1,1,2))]. 10106 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(280,a,8378,a(flip),b,10100,a),flip(a)]. 10107 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(58,a,8428,a,b,10106,a)]. 10109 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(1827(a,1),10107(a,1,2,2))]. 10110 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(3783,a,10094,a)]. 10111 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(58,a,4607,a(flip),b,10110,a)]. 10112 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(10111(a,1),4317(a,1,1,2)),flip(a)]. 10113 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(10097,a,8896,a),flip(a)]. 10114 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(58,a,6317,a(flip),b,10102,a),flip(a)]. 10115 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(58,a,5871,a(flip),b,10114,a),flip(a)]. 10116 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(4741,a,10115,a),flip(a)]. 10118 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(280,a,4317,a(flip),b,10112,a),flip(a)]. 10119 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(4739,a,10118,a)]. 10120 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(67(a,1),10119(a,1,2,1,2)),flip(a)]. 10121 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(58,a,5096,a,b,10120,a)]. 10122 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(58,a,7862,a,b,10113,a)]. 10123 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10066(a,1),10096(a,1,1))]. 10124 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(10123(a,2),6241(a,2,1)),flip(a)]. 10127 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [hyper(280,a,5176,a(flip),b,10109,a),flip(a)]. 10128 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(5(a,1),10127(a,1,2,2,2,1))]. 10129 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(4789(a,1),10101(a,2,2))]. 10130 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(280,a,2662,a(flip),b,10129,a),flip(a)]. 10131 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(67(a,1),10130(a,1,1))]. 10132 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(67(a,1),10131(a,1,2,1)),flip(a)]. 10134 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(3302(a,1),10132(a,1,1))]. 10135 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(10134(a,2),3752(a,1,2))]. 10136 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10134(a,2),6066(a,2,1,1,2,1)),flip(a)]. 10137 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(7869(a,1),10124(a,2,1))]. 10138 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(280,a,6241,a(flip),b,10137,a),flip(a)]. 10139 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(10123(a,1),10138(a,1,1))]. 10140 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(280,a,7926,a(flip),b,10139,a),flip(a)]. 10141 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(58,a,10046,a(flip),b,10140,a),flip(a)]. 10142 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(376(a,1),10121(a,2,2,2,1))]. 10143 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(280,a,8085,a(flip),b,10142,a),flip(a)]. 10144 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(280,a,5456,a(flip),b,10143,a),flip(a)]. 10145 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(10081,a,10144,a),flip(a)]. 10146 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(280,a,7551,a,b,10145,a)]. 10148 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(280,a,1104,a,b,10145,a)]. 10149 K(x,T(x \ y,z)) = K(x,T(y,z)). [hyper(280,a,2975,a(flip),b,10145,a),flip(a)]. 10150 K(x,x \ T(x * y,z)) = K(x,T(y,z)). [para(4(a,1),10145(a,1,2,1)),flip(a)]. 10151 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(10145(a,2),2882(a,2,2)),flip(a)]. 10152 T(T(x,y * T(y \ z,u)),K(y,T(z,u))) = T(x,y * T(z / y,u)). [para(10149(a,1),5870(a,1,2))]. 10153 K(x,T(y,z) / x) = K(x,T(y / x,z)). [para(1098(a,1),10150(a,1,2))]. 10154 K(x,T(y,x / y) / x) = K(x,y / x). [hyper(280,a,3755,a(flip),b,10153,a),flip(a)]. 10155 K(x,y / x) * T(y,x / y) = x * (T(y,x / y) / x). [para(10154(a,1),2865(a,1,1))]. 10156 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(10146(a,1),2888(a,2,1)),flip(a)]. 10157 T(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(2916,a,10151,a)]. 10158 T(x,T(x \ y,z)) = T(x,T(y,z)). [hyper(280,a,423,a(flip),b,10157,a),flip(a)]. 10159 T(x \ 1,T(x \ y,z)) = T(x,T(y,z)) \ 1. [para(10158(a,1),3611(a,2,1))]. 10160 T(x \ 1,T(x \ y,z)) = T(x \ 1,T(y,z)). [hyper(280,a,3611,a,b,10159,a),flip(a)]. 10161 (x \ ((x \ 1) \ y)) * T(x \ 1,T((x \ 1) \ y,z)) = T(x \ y,K(x \ ((x \ 1) \ y),z)). [para(10160(a,1),7019(a,1,2))]. 10162 K(x * y,1 / x) * T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) = (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)). [para(372(a,1),10155(a,1,1,2))]. 10163 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(58,a,6587,a(flip),b,10156,a),flip(a)]. 10164 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(10163(a,2),4645(a,1,2))]. 10165 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(259,a,10164,a)]. 10166 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(10165(a,1),6808(a,1,1))]. 10167 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(10166(a,1),8599(a,1,1)),flip(a)]. 10168 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(280,a,5236,a(flip),b,10167,a),flip(a)]. 10169 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(58,a,2829,a(flip),b,10168,a),flip(a)]. 10170 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(6(a,1),10169(a,2,1))]. 10171 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(17(a,2),10170(a,1,3))]. 10172 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(10171(a,1),2927(a,1,2))]. 10173 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(58,a,9062,a(flip),b,10172,a),flip(a)]. 10174 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [para(3775(a,2),10173(a,2,2))]. 10175 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [hyper(58,a,4571,a,b,10174,a)]. 10176 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [para(3647(a,2),10175(a,2,2))]. 10177 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [hyper(280,a,86,a,b,10176,a),flip(a)]. 10178 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(6537,a,10177,a)]. 10179 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(10178(a,1),5883(a,2,2))]. 10180 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(1087(a,1),10072(a,2,2))]. 10182 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(5748(a,1),10180(a,1,2))]. 10183 K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). [hyper(58,a,4924,a(flip),b,10103,a),flip(a)]. 10184 K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). [hyper(58,a,6832,a(flip),b,10183,a),flip(a)]. 10185 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(58,a,5964,a(flip),b,10135,a)]. 10186 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(1811(a,2),10185(a,2,1))]. 10187 T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | (x / ((x \ y) \ 1)) / x = z. [para(10186(a,2),247(a,1)),flip(b)]. 10188 (x \ ((x \ 1) \ y)) * T(x \ 1,T(y,z)) = T(x \ y,K(x \ ((x \ 1) \ y),z)). [para(10158(a,1),10161(a,1,2))]. 10189 T(x \ y,K(x \ ((x \ 1) \ y),z)) = y / T(x,T(y,z)). [hyper(7105,a,10188,a),flip(a)]. 10190 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(280,a,86,a(flip),b,10179,a),flip(a)]. 10191 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(3647(a,1),10190(a,2,2))]. 10192 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(101(a,1),10191(a,1,1,2,2,1))]. 10193 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(5714(a,1),10192(a,1,1,2))]. 10194 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(3659(a,1),10193(a,1,1))]. 10195 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(101(a,1),10194(a,1,2,1,1,1))]. 10197 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(10195(a,1),2925(a,1,2)),flip(a)]. 10198 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(280,a,4376,a(flip),b,10197,a),flip(a)]. 10199 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(4165,a,10198,a),flip(a)]. 10201 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(58,a,5804,a(flip),b,10199,a),flip(a)]. 10202 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(10201(a,2),10182(a,1,1))]. 10203 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(5495(a,1),10202(a,1,1,1))]. 10204 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(3293(a,2),10203(a,1,2,2))]. 10205 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(7562(a,1),10204(a,1,1,1,2))]. 10206 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(273(a,1),10205(a,1,1,1))]. 10208 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(479(a,1),10206(a,1,1,2))]. 10209 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(100(a,1),10208(a,1,2,2,2))]. 10210 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(479(a,1),10209(a,1,2,2,1))]. 10211 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(2126(a,1),10210(a,1,2))]. 10212 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(58,a,10148,a(flip),b,10211,a)]. 10213 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(58,a,8082,a(flip),b,10212,a)]. 10214 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(188(a,1),10213(a,1,2)),flip(a)]. 10215 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(58,a,7432,a,b,10214,a)]. 10217 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(7429,a,10215,a)]. 10219 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(58,a,6134,a(flip),b,10217,a),flip(a)]. 10220 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(10219(a,1),2991(a,1,2))]. 10221 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(58,a,6298,a,b,10220,a)]. 10222 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = K(x * y,1 / x) * ((1 / x) * (y * x)). [para(6005(a,1),10162(a,1,2)),flip(a)]. 10223 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * (K(x * y,1 / x) * (y * x)). [hyper(280,a,4183,a(flip),b,10222,a),flip(a)]. 10224 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * T(y * x,T(1 / x,y)). [para(3812(a,1),10223(a,2,2))]. 10225 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * T(y * x,1 / x). [para(8093(a,1),10224(a,2,2))]. 10226 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (y * x) * (1 / x). [hyper(280,a,101,a(flip),b,10225,a),flip(a)]. 10227 (x * y) * (((1 / x) * (y * x)) / (x * y)) = (y * x) * (1 / x). [para(6005(a,1),10226(a,1,2,1))]. 10228 (x * y) * (1 / T(x,y)) = (y * x) * (1 / x). [para(4887(a,1),10227(a,1,2))]. 10229 (x * (x \ (y / (1 / x)))) * (1 / T(x,x \ (y / (1 / x)))) = (T(y,x) / (1 / x)) * (1 / x). [para(1358(a,1),10228(a,2,1))]. 10230 (x / (1 / y)) * (1 / T(y,y \ (x / (1 / y)))) = (T(x,y) / (1 / y)) * (1 / y). [hyper(628,a,10229,a)]. 10232 (x / (1 / y)) * (1 / T(y,(x / (1 / y)) / y)) = (T(x,y) / (1 / y)) * (1 / y). [para(759(a,2),10230(a,1,2,2))]. 10233 (T(x,y) / (1 / y)) * (1 / y) = (x / (1 / y)) * (1 / T(y,x)). [para(2234(a,1),10232(a,1,2,2)),flip(a)]. 10234 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(637,a,10233,a)]. 10235 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(103(a,1),10234(a,1,2,2))]. 10236 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(10235(a,1),6229(a,1,2)),flip(a)]. 10237 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(10236(a,2),2287(a,1,1))]. 10238 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(10187,a,10237,a)]. 10239 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [hyper(126,a,10238,a(flip))]. 10240 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(58,a,8855,a(flip),b,10024,a)]. 10241 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(6560(a,1),10240(a,1,2,2)),flip(a)]. 10242 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(5298(a,1),10241(a,2,2))]. 10244 L(T(x,L(y,z,z \ 1) / y),((1 / z) * (z * y)) / y,a(1 / (z * y),z,y)) = ((((1 / z) * (z * y)) / y) \ 1) * (x * (((1 / z) * (z * y)) / y)). [para(624(a,1),2249(a,1,1,2,1))]. 10245 L(T(x,y \ L(y,z,z \ 1)),((1 / z) * (z * y)) / y,a(1 / (z * y),z,y)) = ((((1 / z) * (z * y)) / y) \ 1) * (x * (((1 / z) * (z * y)) / y)). [para(445(a,1),10244(a,1,1,2))]. 10246 L(T(x,a(y,z,z \ 1)),((1 / z) * (z * y)) / y,a(1 / (z * y),z,y)) = ((((1 / z) * (z * y)) / y) \ 1) * (x * (((1 / z) * (z * y)) / y)). [para(3955(a,1),10245(a,1,1,2))]. 10247 ((((1 / x) * (x * y)) / y) \ 1) * (z * (((1 / x) * (x * y)) / y)) = L(z,((1 / x) * (x * y)) / y,a(1 / (x * y),x,y)). [para(8734(a,1),10246(a,1,1)),flip(a)]. 10248 ((((1 / x) * (x * y)) / y) \ 1) * (z * (((1 / x) * (x * y)) / y)) = L(z,L(y,x,x \ 1) / y,a(1 / (x * y),x,y)). [para(624(a,1),10247(a,2,2,1))]. 10249 ((((1 / x) * (x * y)) / y) \ 1) * (z * (((1 / x) * (x * y)) / y)) = L(z,y \ L(y,x,x \ 1),a(1 / (x * y),x,y)). [para(445(a,1),10248(a,2,2))]. 10250 ((((1 / x) * (x * y)) / y) \ 1) * (z * (((1 / x) * (x * y)) / y)) = L(z,a(y,x,x \ 1),a(1 / (x * y),x,y)). [para(3955(a,1),10249(a,2,2))]. 10251 ((((1 / x) * (x * y)) / y) \ 1) * (z * (((1 / x) * (x * y)) / y)) = L(z,a(y,x,x \ 1),a((x * y) \ 1,x,y)). [para(376(a,1),10250(a,2,3,1))]. 10252 ((L(x,y,y \ 1) / x) \ 1) * (z * (((1 / y) * (y * x)) / x)) = L(z,a(x,y,y \ 1),a((y * x) \ 1,y,x)). [para(624(a,1),10251(a,1,1,1,1))]. 10253 ((x \ L(x,y,y \ 1)) \ 1) * (z * (((1 / y) * (y * x)) / x)) = L(z,a(x,y,y \ 1),a((y * x) \ 1,y,x)). [para(445(a,1),10252(a,1,1,1))]. 10254 (a(x,y,y \ 1) \ 1) * (z * (((1 / y) * (y * x)) / x)) = L(z,a(x,y,y \ 1),a((y * x) \ 1,y,x)). [para(3955(a,1),10253(a,1,1,1))]. 10255 (a(x,y,y \ 1) \ 1) * (z * (L(x,y,y \ 1) / x)) = L(z,a(x,y,y \ 1),a((y * x) \ 1,y,x)). [para(624(a,1),10254(a,1,2,2,1))]. 10256 (a(x,y,y \ 1) \ 1) * (z * (x \ L(x,y,y \ 1))) = L(z,a(x,y,y \ 1),a((y * x) \ 1,y,x)). [para(445(a,1),10255(a,1,2,2))]. 10257 L(x,a(y,z,z \ 1),a((z * y) \ 1,z,y)) = (a(y,z,z \ 1) \ 1) * (x * a(y,z,z \ 1)). [para(3955(a,1),10256(a,1,2,2)),flip(a)]. 10258 (a(x,y,y \ 1) \ 1) * (z * a(x,y,y \ 1)) = L(z,a(x,y,y \ 1),a(y \ 1,y,x)). [para(7474(a,1),10257(a,1,3)),flip(a)]. 10259 a(x,x \ 1,y) * (z * a(y,x,x \ 1)) = L(z,a(y,x,x \ 1),a(x \ 1,x,y)). [para(7069(a,1),10258(a,1,1))]. 10260 a(x,x \ 1,y) * (z * a(y,x,x \ 1)) = L(z,a(y,x,x \ 1),a(x,x \ 1,y)). [para(7063(a,1),10259(a,2,3))]. 10261 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(2912(a,1),7386(a,2,2))]. 10262 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(2912(a,1),10261(a,1,1,3,2,2))]. 10263 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * T(x \ 1,y))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(2912(a,1),10262(a,1,2,1,2,2))]. 10264 K(x \ 1,y) * T(K(x \ 1,y) \ (z * T(x \ 1,y)),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(58,a,7383,a(flip),b,10263,a)]. 10265 T(K(x \ 1,y) * (K(x \ 1,y) \ (z * T(x \ 1,y))),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(58,a,6276,a,b,10264,a)]. 10266 ((x \ y) * x) * T(x \ 1,z) = T(y * T(x \ 1,z),x). [para(5(a,1),10265(a,1,1)),flip(a)]. 10267 (x \ (T(x \ 1,y) \ z)) * x = T(x \ 1,y) \ T(z,x). [hyper(30,a,1094,a(flip),b,10266,a),flip(a)]. 10269 x / (y * (T(z \ 1,u) * (T(z \ 1,u) \ T(y \ x,z)))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(10267(a,1),7403(a,1,2,2,2))]. 10270 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = y / (z * T(z \ y,x)). [para(5(a,1),10269(a,1,2,2)),flip(a)]. 10271 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = K(x,y / z). [hyper(280,a,4320,a(flip),b,10270,a),flip(a)]. 10273 K(x,y / (z * (T(x \ 1,u) * x))) = K(x,y / z). [para(7401(a,1),10271(a,1,2,2,2))]. 10274 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [hyper(58,a,7404,a(flip),b,10273,a)]. 10275 K(x,y / (z * K(u,x))) = K(x,y / z). [para(3580(a,2),10273(a,1,2,2,2))]. 10276 K(x,y / (z * K(x,u))) = K(x,y / z). [para(2897(a,1),10275(a,1,2,2,2))]. 10277 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(4354(a,1),10275(a,1,2,2)),flip(a)]. 10278 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(6892(a,1),10276(a,1,2,2)),flip(a)]. 10279 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(4662(a,1),10277(a,1,2,2)),flip(a)]. 10280 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(4631(a,1),10274(a,1,2,2))]. 10281 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(4354(a,1),10278(a,1,2,2,1)),flip(a)]. 10282 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(6055(a,1),10281(a,1,2,2,1)),flip(a)]. 10283 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(280,a,9173,a(flip),b,10280,a),flip(a)]. 10284 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(2470,a,10283,a)]. 10285 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(58,a,6028,a(flip),b,10283,a),flip(a)]. 10286 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(58,a,7979,a(flip),b,10282,a)]. 10287 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(58,a,9174,a(flip),b,10285,a),flip(a)]. 10288 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(280,a,9900,a(flip),b,10287,a),flip(a)]. 10289 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(58,a,10284,a(flip),b,10288,a),flip(a)]. 10290 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(3734,a,10289,a)]. 10291 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(58,a,7917,a(flip),b,10290,a)]. 10292 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(4898,a,10291,a),flip(a)]. 10293 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(101(a,1),10291(a,1,2,2)),flip(a)]. 10294 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(58,a,10279,a(flip),b,10292,a)]. 10295 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(10294(a,1),4321(a,1,2,2))]. 10296 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(4367,a,10295,a),flip(a)]. 10297 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(9031,a,10296,a),flip(a)]. 10300 K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). [hyper(58,a,10077,a(flip),b,10297,a)]. 10303 K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). [para(10300(a,1),5427(a,1,2)),flip(a)]. 10305 K(x \ (y / (z * y)),T(x,u)) != w | K(z \ (x \ 1),T(x,u)) = w. [para(10303(a,2),5575(a,1))]. 10307 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). [hyper(10305,a,10184,a),flip(a)]. 10308 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). [hyper(280,a,2462,a(flip),b,10307,a),flip(a)]. 10310 R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). [para(3082(a,1),10308(a,1,1))]. 10311 ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. [para(10310(a,1),7628(a,1,2))]. 10312 T(x * T(y \ 1,T(z,x)),y) = (T(y,z) \ 1) * x. [hyper(58,a,4951,a,b,10311,a)]. 10314 T(x * T(y \ 1,T(z,x)),y) = T(y \ 1,z) * x. [para(3611(a,2),10312(a,2,1))]. 10316 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(280,a,10122,a(flip),b,10286,a),flip(a)]. 10317 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(280,a,3638,a(flip),b,10293,a),flip(a)]. 10318 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(15(a,2),10316(a,2,2,1))]. 10319 K(x,R(y,z,u) \ R(x,z,u)) != w | K(R(x,z,u),y \ x) = w. [para(10318(a,1),7936(a,1))]. 10320 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(10319,a,10098,a)]. 10321 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(58,a,7622,a(flip),b,10320,a),flip(a)]. 10322 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(58,a,9941,a(flip),b,10321,a)]. 10323 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4193(a,1),10322(a,1,1))]. 10327 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(10323(a,1),7959(a,1,1,1,2))]. 10330 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,v5,x)) = R(K(x,y),z,u). [hyper(9270,a,10327,a)]. 10332 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(199,a,10330,a),flip(a)]. 10333 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(10330(a,1),199(a,1))]. 10334 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(58,a,9392,a(flip),b,10332,a),flip(a)]. 10337 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(10332(a,1),9984(a,1,2,2))]. 10339 K(x,L(y,z,z \ 1)) != u | K(x,R(y,z,z \ 1)) = u. [para(9392(a,1),10333(a,1))]. 10340 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(604(a,1),10334(a,1,2)),flip(a)]. 10342 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(5243,a,10337,a)]. 10343 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(58,a,6553,a,b,10342,a)]. 10344 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(2558(a,1),10343(a,1,1))]. 10345 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(9973,a,10344,a)]. 10346 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(10345(a,2),9999(a,2,1)),flip(a)]. 10347 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(58,a,10001,a,b,10346,a)]. 10348 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(58,a,10044,a(flip),b,10347,a)]. 10349 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(58,a,6058,a,b,10348,a)]. 10350 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(5281(a,2),10349(a,2,1))]. 10351 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(6142,a,10350,a)]. 10352 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(58,a,7980,a(flip),b,10351,a)]. 10353 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(5298(a,1),10352(a,2,1))]. 10354 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(7891(a,1),10353(a,2,1))]. 10355 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(7981,a,10354,a)]. 10358 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(58,a,7995,a(flip),b,10355,a)]. 10360 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(280,a,5066,a(flip),b,10317,a),flip(a)]. 10361 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(4739,a,10360,a)]. 10362 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(58,a,7355,a(flip),b,10361,a)]. 10364 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(58,a,8075,a(flip),b,10362,a)]. 10365 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) = L(K(x,u),z,y * x). [hyper(8369,a,10364,a),flip(a)]. 10367 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [hyper(58,a,10128,a(flip),b,10365,a)]. 10368 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(17(a,2),10367(a,1,2,2,1))]. 10369 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(58,a,8110,a(flip),b,10368,a),flip(a)]. 10370 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(280,a,8318,a(flip),b,10369,a),flip(a)]. 10371 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). [para(10370(a,1),7600(a,1,1,2)),flip(a)]. 10372 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). [hyper(280,a,9109,a(flip),b,10371,a),flip(a)]. 10374 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). [hyper(280,a,8404,a(flip),b,10372,a),flip(a)]. 10375 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(4170,a,10374,a)]. 10376 a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. [para(10375(a,1),9060(a,1,1,2)),flip(a)]. 10377 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(280,a,9060,a(flip),b,10376,a),flip(a)]. 10378 L((x \ (x / y)) \ 1,x \ (x / y),x * y) * ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) = ((x \ (x / y)) * (x \ (x * y))) * L((x \ (x / y)) \ 1,z,u). [para(3(a,1),7207(a,2,1,2,2))]. 10379 L((x \ (x / y)) \ 1,x \ (x / y),x * y) * ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) = ((x \ (x / y)) * y) * L((x \ (x / y)) \ 1,z,u). [para(4(a,1),10378(a,2,1,2))]. 10380 (x \ ((x * y) * 1)) * ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) = ((x \ (x / y)) * y) * L((x \ (x / y)) \ 1,z,u). [para(576(a,1),10379(a,1,1))]. 10381 (x \ (x * y)) * ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) = ((x \ (x / y)) * y) * L((x \ (x / y)) \ 1,z,u). [para(3(a,1),10380(a,1,1,2))]. 10382 ((x \ (x / y)) * y) * L((x \ (x / y)) \ 1,z,u) = y * ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)). [para(4(a,1),10381(a,1,1)),flip(a)]. 10383 ((x \ (x / y)) * y) * L((x \ (x / y)) \ 1,z,u) = y * (x \ ((x / y) * L((x / y) \ x,z,u))). [para(2182(a,1),10382(a,2,2))]. 10384 ((x \ (x / y)) * y) * L((x \ (x / y)) \ 1,z,u) = y * (x \ ((x / y) * L(y,z,u))). [para(70(a,1),10383(a,2,2,2,2,1))]. 10385 (x * (y \ (y / x))) * L((y \ (y / x)) \ 1,z,u) = x * (y \ ((y / x) * L(x,z,u))). [para(2283(a,1),10384(a,1,1))]. 10386 L((x \ (x / y)) \ 1,z,u) * ((x \ (x / y)) * L((x \ (x / y)) \ 1,x \ (x / y),x * y)) = (x \ ((x / y) * L((x / y) \ x,z,u))) * (x \ ((x * y) * 1)). [para(2182(a,1),7208(a,2,1))]. 10387 L((x \ (x / y)) \ 1,z,u) * ((x \ (x / y)) * L((x \ (x / y)) \ 1,x \ (x / y),x * y)) = (x \ ((x / y) * L(y,z,u))) * (x \ ((x * y) * 1)). [para(70(a,1),10386(a,2,1,2,2,1))]. 10388 L((x \ (x / y)) \ 1,z,u) * ((x \ (x / y)) * L((x \ (x / y)) \ 1,x \ (x / y),x * y)) = (x \ ((x / y) * L(y,z,u))) * (x \ (x * y)). [para(3(a,1),10387(a,2,2,2))]. 10389 L((x \ (x / y)) \ 1,z,u) * ((x \ (x / y)) * L((x \ (x / y)) \ 1,x \ (x / y),x * y)) = (x \ ((x / y) * L(y,z,u))) * y. [para(4(a,1),10388(a,2,2))]. 10390 L((x \ (x / y)) \ 1,z,u) * ((x \ (x / y)) * (x \ ((x * y) * 1))) = (x \ ((x / y) * L(y,z,u))) * y. [para(576(a,1),10389(a,1,2,2))]. 10391 L((x \ (x / y)) \ 1,z,u) * ((x \ (x / y)) * (x \ (x * y))) = (x \ ((x / y) * L(y,z,u))) * y. [para(3(a,1),10390(a,1,2,2,2))]. 10392 L((x \ (x / y)) \ 1,z,u) * ((x \ (x / y)) * y) = (x \ ((x / y) * L(y,z,u))) * y. [para(4(a,1),10391(a,1,2,2))]. 10393 L((x \ (x / y)) \ 1,z,u) * (y * (x \ (x / y))) = (x \ ((x / y) * L(y,z,u))) * y. [para(2283(a,1),10392(a,1,2))]. 10394 (x * (y \ (y / x))) * L(T((y \ (y / x)) \ 1,x * (y \ (y / x))),z,u) = (y \ ((y / x) * L(x,z,u))) * x. [hyper(1597,a,10393,a)]. 10395 (x * (y \ (y / x))) * L((y \ (y / x)) \ 1,z,u) = (y \ ((y / x) * L(x,z,u))) * x. [para(6433(a,1),10394(a,1,2,1))]. 10396 (x \ ((x / y) * L(y,z,u))) * y = y * (x \ ((x / y) * L(y,z,u))). [hyper(58,a,10385,a(flip),b,10395,a),flip(a)]. 10398 ((x \ ((x / K(y,z)) * L(K(y,z),u,w))) / z) * (y * (z / y)) = K(y,z) * (x \ ((x / K(y,z)) * L(K(y,z),u,w))). [hyper(58,a,3132,a,b,10396,a)]. 10399 ((x \ ((x * K(y,z)) * L(K(z,y),u,w))) / y) * (z * (y / z)) = K(z,y) * (x \ ((x / K(z,y)) * L(K(z,y),u,w))). [para(4323(a,1),10398(a,1,1,1,2,1))]. 10400 ((x \ ((x * K(y,z)) * K(z,L(y,u,w)))) / y) * (z * (y / z)) = K(z,y) * (x \ ((x / K(z,y)) * L(K(z,y),u,w))). [para(9384(a,1),10399(a,1,1,1,2,2))]. 10401 ((x \ (x * (K(y,L(z,u,w)) * K(z,y)))) / z) * (y * (z / y)) = K(y,z) * (x \ ((x / K(y,z)) * L(K(y,z),u,w))). [para(5948(a,1),10400(a,1,1,1,2))]. 10402 K(x,y) * (z \ ((z / K(x,y)) * L(K(x,y),u,w))) = ((K(x,L(y,u,w)) * K(y,x)) / y) * (x * (y / x)). [para(4(a,1),10401(a,1,1,1)),flip(a)]. 10404 K(x,y) * (z \ ((z / K(x,y)) * L(K(x,y),u,w))) = ((K(x,L(y,u,w)) / y) * K(y,x)) * (x * (y / x)). [para(3408(a,1),10402(a,2,1))]. 10405 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(378(a,1),6624(a,1,2,1,2,2,2,2,1))]. 10406 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5277(a,1),10405(a,1,2,1))]. 10407 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5993(a,1),10406(a,1,2,1,2))]. 10408 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(3899(a,1),10407(a,1,2,1,2))]. 10410 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5303(a,1),10408(a,1,2,1))]. 10411 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(378(a,1),10410(a,1,2,2,1,2,1,2,2,2,1))]. 10412 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5254(a,1),10411(a,1,2,2,1,2))]. 10413 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6644(a,1),10412(a,1,2,2,1,2,2))]. 10414 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(3985(a,1),10413(a,1,2,2,1,2,2))]. 10416 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5253(a,1),10414(a,1,2,2,1,2))]. 10417 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(2949(a,2),10416(a,1,2,2,1))]. 10418 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6281(a,2),10417(a,1,2))]. 10419 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(58,a,4820,a(flip),b,10418,a)]. 10420 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(3358(a,1),10419(a,1,2)),flip(a)]. 10421 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(280,a,5328,a(flip),b,10420,a),flip(a)]. 10422 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1657(a,1),10421(a,1,1)),flip(a)]. 10423 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(58,a,10010,a,b,10422,a)]. 10424 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1657(a,1),10423(a,1,1))]. 10425 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(10424(a,1),6155(a,1,2))]. 10426 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(6156,a,10425,a),flip(a)]. 10427 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(280,a,5281,a,b,10426,a),flip(a)]. 10429 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(58,a,8873,a(flip),b,10427,a)]. 10430 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(280,a,5277,a,b,10429,a),flip(a)]. 10431 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(8874,a,10430,a)]. 10432 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(58,a,8882,a,b,10431,a)]. 10433 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(280,a,8631,a(flip),b,10432,a),flip(a)]. 10434 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(5395,a,10433,a)]. 10435 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(10433(a,1),5395(a,1))]. 10436 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(58,a,4796,a,b,10434,a)]. 10437 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(58,a,10013,a,b,10436,a)]. 10438 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(6657,a,10437,a)]. 10439 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(58,a,10358,a(flip),b,10438,a)]. 10440 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(7765(a,1),10439(a,1,1)),flip(a)]. 10441 K(x,K(y * z,a(y,z,u))) = 1. [hyper(280,a,8845,a(flip),b,10440,a),flip(a)]. 10442 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(10435,a,10441,a)]. 10445 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(10442(a,1),5377(a,1,1)),flip(a)]. 10446 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(280,a,2,a(flip),b,10445,a),flip(a)]. 10447 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(10446(a,1),5587(a,1,1)),flip(a)]. 10448 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(3783,a,10447,a)]. 10449 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(5655,a,10448,a)]. 10450 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(58,a,7951,a,b,10449,a)]. 10451 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(10043(a,2),10450(a,1,1))]. 10452 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(58,a,9983,a,b,10451,a)]. 10453 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(58,a,10141,a(flip),b,10452,a)]. 10454 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(280,a,2989,a,b,10453,a)]. 10456 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(280,a,10345,a(flip),b,10454,a),flip(a)]. 10457 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(58,a,9663,a(flip),b,10456,a),flip(a)]. 10458 a(x,x,K(y,z)) = 1. [hyper(58,a,4169,a(flip),b,10457,a),flip(a)]. 10459 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(10457(a,1),9967(a,1,1,2))]. 10460 K(a(x,x,y),z) = 1. [hyper(58,a,9700,a(flip),b,10458,a)]. 10461 T(a(x,x,y),z) = a(x,x,y). [hyper(51,a,10460,a)]. 10462 T(x,a(y,y,z)) = x. [hyper(49,a,10461,a)]. 10463 a(x,x,y) / z = z \ a(x,x,y). [hyper(112,a,10461,a(flip),b,898,a(flip))]. 10464 a(x,x,y) * z = z * a(x,x,y). [para(10461(a,1),101(a,1,2)),flip(a)]. 10465 x * a(y,y,z) != u | a(y,y,z) * x = u. [para(10461(a,1),259(a,1,2))]. 10466 x / a(y,y,z) = a(y,y,z) \ x. [para(10461(a,1),428(a,1,2))]. 10467 T(K(x,y) * a(z,z,u),y \ x) = K(x,y) * a(z,z,u). [para(10461(a,1),6979(a,2,2))]. 10468 T(x,a(y,y,z)) != u | x = u. [para(10462(a,1),44(a,2))]. 10469 a(x,x,y) * z != u | z * a(x,x,y) = u. [para(10462(a,1),259(a,1,2))]. 10470 x * T(a(y,y,z) / x,u) = K(u,x) * a(y,y,z). [hyper(58,a,4844,a(flip),b,10467,a)]. 10471 x * T(x \ a(y,y,z),u) = K(u,x) * a(y,y,z). [para(10463(a,1),10470(a,1,2,1))]. 10472 K(x,y \ a(z,z,u)) = K(y,x). [hyper(4609,a,10471,a),flip(a)]. 10473 T(x \ a(y,y,z),u) = T(x,u) \ a(y,y,z). [hyper(29,a,4296,a,b,10471,a),flip(a)]. 10474 T(a(x,x,y) * z,u) = a(x,x,y) * T(z,u). [hyper(4946,a,10473,a),flip(a)]. 10475 T(x * a(y,y,z),u) = a(y,y,z) * T(x,u). [para(10464(a,1),10474(a,1,1))]. 10476 T(x * a(y,y,z),u) = T(x,u) * a(y,y,z). [hyper(280,a,10464,a(flip),b,10475,a),flip(a)]. 10477 x * T((a(y,y,z) \ (x \ u)) * a(y,y,z),u) = T(u,x * a(y,y,z)). [para(10475(a,2),1903(a,1,2))]. 10478 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(9064,a,10459,a),flip(a)]. 10479 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(10459(a,1),9064(a,1))]. 10480 (K(x,y) * ((K(y,x) * z) * u)) \ (L(z,K(w,v5),K(v6,w)) * u) = a(x,K(y,x) * z,K(u,y)). [hyper(58,a,9002,a,b,10478,a)]. 10481 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(58,a,10457,a(flip),b,10478,a),flip(a)]. 10482 a(x,y,K(z,x \ u)) = a(K(x,u),y,z). [hyper(58,a,4465,a(flip),b,10478,a),flip(a)]. 10483 a(x,x \ 1,K(y,z)) = 1. [hyper(58,a,4171,a(flip),b,10478,a),flip(a)]. 10484 a(x \ y,z,K(u,x)) = a(K(y,x),z,u). [hyper(58,a,3049,a(flip),b,10478,a),flip(a)]. 10485 a(x * L(y,z,u),w,K(v5,y)) = a(K(x,y),w,v5). [para(3715(a,1),10478(a,1,1)),flip(a)]. 10486 a(x,y,K(z,L(u,w,x))) = a(K(x,u),y,z). [para(5056(a,1),10478(a,1,1)),flip(a)]. 10487 a(x,y,K(z,L(u,x,w))) = a(K(x,u),y,z). [para(5162(a,1),10478(a,1,1)),flip(a)]. 10488 a(x,y,K(z,u \ (x * w))) = a(K(x,u \ w),y,z). [para(5177(a,1),10478(a,1,1)),flip(a)]. 10489 a((x * y) / x,z,K(u,w)) = a(K(y,T(w,x)),z,u). [para(5447(a,1),10478(a,1,1)),flip(a)]. 10490 L(K(x,y),z \ 1,z) = K(x,y). [hyper(47,a,10483,a)]. 10491 K(x,y) \ (K(x,y) / z) = 1 / z. [hyper(112,a,10483,a(flip),b,8728,a),flip(a)]. 10492 L(x \ 1,x,K(y,z)) = x \ 1. [hyper(111,a,10483,a(flip),b,8729,a),flip(a)]. 10493 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(9047,a,10490,a)]. 10494 K((x \ 1) \ y,z) = K(x * y,z). [hyper(58,a,9513,a(flip),b,10490,a),flip(a)]. 10495 L(K(x,y),z,z \ 1) = K(x,y). [hyper(58,a,7041,a(flip),b,10490,a)]. 10496 K(x,y) * (z \ 1) = K(x,y) / z. [hyper(112,a,10490,a(flip),b,4710,a),flip(a)]. 10497 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(111,a,10490,a(flip),b,241,a),flip(a)]. 10498 K(x,y) * (K(y,x) / z) = z \ 1. [hyper(58,a,4279,a(flip),b,10492,a)]. 10499 K(x,y) / (z \ 1) = K(x,y) * z. [para(10492(a,1),338(a,1,2))]. 10501 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(10492(a,1),1070(a,1,1))]. 10502 ((K(x,y) / z) * (u \ 1)) \ K(x,y) = K(x,y) \ ((K(x,y) * u) * z). [para(10492(a,1),807(a,1,1,2))]. 10503 (x \ 1) \ K(y,z) = x * K(y,z). [para(10492(a,1),3986(a,1,1))]. 10504 (x \ 1) * (x \ K(y,z)) = x \ (x \ K(y,z)). [para(10492(a,1),6689(a,1,1))]. 10505 L(x \ 1,x,a(y,z,K(u,w))) = x \ 1. [para(9552(a,1),10492(a,1,3))]. 10506 K(L(x,y,y \ 1),z) = K(x,z). [hyper(9551,a,10495,a)]. 10507 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(9433,a,10495,a)]. 10509 K(x,y) / (z * K(x,y)) = 1 / z. [hyper(112,a,10495,a(flip),b,624,a)]. 10510 (1 / x) \ K(y,z) = x * K(y,z). [hyper(111,a,10495,a(flip),b,624,a)]. 10513 K((x \ 1) * y,z) = K(x \ y,z). [para(680(a,1),10506(a,1,1))]. 10514 K(x * (y \ 1),z) = K(x / y,z). [para(3950(a,1),10506(a,1,1))]. 10516 K(x,R(y,z,z \ 1)) = K(x,y). [hyper(10339,a,10507,a)]. 10517 K(x,y * (z \ 1)) = K(x,y / z). [hyper(58,a,10340,a(flip),b,10507,a)]. 10518 K(x,(1 / y) * z) = K(x,y \ z). [para(659(a,1),10507(a,1,2))]. 10519 K(x,(y \ 1) * z) = K(x,y \ z). [para(680(a,1),10507(a,1,2))]. 10520 K(x,(y \ 1) \ z) = K(x,y * z). [para(7044(a,1),10507(a,1,2)),flip(a)]. 10521 K(x,y / (z \ 1)) = K(x,y * z). [para(7054(a,1),10507(a,1,2)),flip(a)]. 10522 K(x,L((y \ 1) \ z,u,w)) = K(x,L(y * z,u,w)). [para(7056(a,1),10507(a,1,2)),flip(a)]. 10523 K(x,L(y * z,y,z)) = K(x,y * z). [para(8758(a,1),10507(a,1,2))]. 10524 K(x,L(y * z,z,y)) = K(x,y * z). [para(8769(a,1),10507(a,1,2))]. 10525 K(x,R(y,z,z \ 1)) = K(x,L(y,u,u \ 1)). [hyper(280,a,10507,a,b,10516,a),flip(a)]. 10526 K(x,L(y * (z \ 1),u,w)) = K(x,L(y / z,u,w)). [para(666(a,1),10516(a,1,2))]. 10527 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(9665,a,10481,a),flip(a)]. 10528 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(280,a,10478,a,b,10481,a)]. 10529 K(x,y) * K(y,L(x,z,u)) = a(x,z,K(y,u)). [hyper(280,a,9408,a,b,10481,a)]. 10530 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(280,a,9664,a(flip),b,10481,a),flip(a)]. 10531 a(x,y,K(y * x,z)) = 1. [hyper(280,a,3124,a(flip),b,10481,a),flip(a)]. 10532 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(53,a,10481,a)]. 10533 a(x,y,K(z,u)) * w = a(u,y,K(x,z)) * w. [hyper(52,a,10481,a)]. 10534 a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). [para(3566(a,1),10481(a,1,3)),flip(a)]. 10535 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(5278(a,1),10481(a,1,3))]. 10536 a(x,y,a(y,z,K(u,w))) = 1. [para(10481(a,2),8609(a,1,3))]. 10537 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(10481(a,2),9054(a,1,1))]. 10538 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) = w. [para(10481(a,2),9055(a,1,1))]. 10539 a(x,y,K(z,u)) * w != v5 | a(u,y,K(z,x)) * v5 = w. [para(10481(a,2),9058(a,1,1))]. 10540 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(10481(a,1),9389(a,1,2))]. 10541 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [para(10481(a,2),9389(a,1,2))]. 10542 T(x * a(x,y,K(z,u)),u) = T(x,L(u,y,z)). [para(10481(a,1),9449(a,1,1,2))]. 10543 a(x,y,K(z,L(u,w,v5))) = a(u,y,K(x,L(z,w,v5))). [para(9511(a,1),10481(a,1,3))]. 10544 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(10481(a,2),9666(a,1,2))]. 10545 a(x,y,K(z,u)) * u = T(u,a(z,y,x)). [para(10481(a,1),9667(a,1,1))]. 10546 a(x,y,K(z,u)) * x = T(x,a(u,y,z)). [para(10481(a,2),9667(a,1,1))]. 10547 (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). [para(10481(a,2),9669(a,1,2))]. 10548 a(x,y,K(z,u)) * (x * w) = T(x,a(u,y,z)) * w. [para(10481(a,2),9671(a,1,1))]. 10550 a(x,y,K(z,u)) * (x * w) != v5 | T(x,a(u,y,z)) * w = v5. [para(10481(a,2),9672(a,1,1))]. 10551 a(x,y,K(z,u)) * (z \ w) = T(z,a(u,y,x)) \ w. [para(10481(a,2),9710(a,1,1))]. 10552 a(x,y,K(z,u)) * (z \ w) != v5 | T(z,a(u,y,x)) \ w = v5. [para(10481(a,2),9712(a,1,1))]. 10553 L(x,y,z) \ (u * a(x,w,K(v5,v6))) = (L(x,y,z) \ u) * a(v5,w,K(v6,x)). [para(10481(a,1),9745(a,1,2,2))]. 10554 L(K(x * y,z),x,y) = K(x * y,z). [hyper(47,a,10531,a)]. 10555 K(x,y) * (1 / z) = K(x,y) / z. [hyper(126,a,10491,a)]. 10556 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(10491(a,1),898(a,2,1))]. 10557 K(x,y \ (z \ 1)) = K(z * y,x). [hyper(3578,a,10494,a)]. 10560 ((x \ 1) \ y) * K(x * y,z) = T((x \ 1) \ y,z). [para(10494(a,1),2882(a,2,2)),flip(a)]. 10562 x * (y * K(x * y,z)) = T(x * y,z). [para(10494(a,1),3456(a,1,2,2))]. 10563 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(10494(a,1),4152(a,1))]. 10565 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(10494(a,1),6321(a,1,1,2))]. 10566 (x * K(y,z)) \ 1 = K(z,y) / x. [hyper(3435,a,10496,a)]. 10567 (x / T(y,z)) \ 1 = K(y,z) / (x / y). [hyper(58,a,4422,a(flip),b,10496,a)]. 10568 (K(x,y) / z) * K(y,x) = T(z \ 1,K(x,y)). [para(10496(a,1),5357(a,1,1))]. 10569 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(4329,a,10497,a)]. 10570 K(x,y) * (z \ K(y,x)) = T(z \ 1,K(y,x)). [hyper(226,a,10497,a,b,4268,a),flip(a)]. 10571 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(58,a,3427,a,b,10497,a)]. 10574 (x * (y \ 1)) \ K(z,u) = (y * (x \ 1)) * K(z,u). [para(298(a,1),10497(a,1,1)),flip(a)]. 10575 ((x \ 1) * y) \ K(z,u) = ((y \ 1) * x) * K(z,u). [para(528(a,1),10497(a,1,1)),flip(a)]. 10579 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(10497(a,1),4317(a,1,1))]. 10580 (x \ K(y,z)) * T(z,y) = (x \ 1) * z. [para(10497(a,1),4365(a,1,1))]. 10581 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(10497(a,1),4343(a,1,1))]. 10582 (x \ K(y,(x \ 1) \ z)) \ z = T((x \ 1) \ z,y). [para(10497(a,1),4427(a,1,1))]. 10584 (K(x,y) * z) * L(z \ K(y,x),u,w) = K(x,y) * (z * L(z \ K(y,x),u,w)). [para(10497(a,1),7274(a,1,2,1))]. 10585 (L(x,y,z) \ x) * K(u,L(w,L(x,y,z) \ 1,x)) = x * (L(x,y,z) \ K(u,w)). [para(10497(a,1),9438(a,2,2))]. 10587 K(x,y) * (K(y,x) / (z \ 1)) = z. [hyper(280,a,378,a(flip),b,10498,a),flip(a)]. 10588 (x \ K(y,z)) \ 1 = K(z,y) * x. [para(67(a,1),10498(a,1,2)),flip(a)]. 10589 (x \ 1) * L(L(x \ 1,x,K(y,z)) \ 1,u,w) = L(x \ L(x,u,w),x,K(y,z)). [para(10498(a,1),8215(a,1,1))]. 10590 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [para(2999(a,2),10499(a,1,2)),flip(a)]. 10591 x \ K(y,z) != u * K(y,z) | u \ 1 = x. [para(10503(a,1),43(a,1)),flip(a)]. 10592 (x \ y) * K(y,z) = x \ T(y,z). [hyper(6796,a,10509,a),flip(a)]. 10594 1 / (x * K(y,z)) = K(z,y) / x. [para(4324(a,1),10509(a,1,2)),flip(a)]. 10595 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(280,a,3096,a(flip),b,10510,a),flip(a)]. 10596 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(58,a,3433,a,b,10510,a)]. 10602 K((x \ 1) * y,z) = K(z,y \ x). [hyper(280,a,3570,a(flip),b,10513,a),flip(a)]. 10603 K(x \ ((x \ 1) \ y),z) = K(y,z). [para(5(a,1),10513(a,1,1)),flip(a)]. 10604 K((x \ 1) * y,z) != u | K(z,y \ x) = u. [para(10513(a,2),3578(a,1))]. 10605 K(x * (1 / y),z) = K(x / y,z). [hyper(4729,a,10514,a)]. 10606 K(x * (y \ 1),z) = K(z,y / x). [hyper(280,a,3573,a(flip),b,10514,a),flip(a)]. 10607 K(x / (1 / y),z) = K(x * y,z). [para(70(a,1),10514(a,1,1,2)),flip(a)]. 10608 K(x * (y \ 1),z) != u | K(z,y / x) = u. [para(10514(a,2),3710(a,1))]. 10610 K(x,L(y * (z \ 1),u,w)) = K(L(x,u,w),y / z). [hyper(9517,a,10517,a)]. 10613 K(x,y / (z * (u \ 1))) = K(x,y * (u * (z \ 1))). [para(298(a,1),10517(a,1,2,2)),flip(a)]. 10615 K(x,y / ((z \ 1) * u)) = K(x,y * ((u \ 1) * z)). [para(528(a,1),10517(a,1,2,2)),flip(a)]. 10616 K(x,y / (L(z,u,w) \ z)) = K(x,y * (z \ L(z,u,w))). [para(1262(a,1),10517(a,1,2,2)),flip(a)]. 10617 K(x,y * (z * ((u * z) \ 1))) = K(x,y / L(u,z,z \ 1)). [para(3956(a,1),10517(a,1,2,2))]. 10618 K(x,(y * (z \ 1)) \ u) = K(x,(z * (y \ 1)) * u). [para(298(a,1),10519(a,1,2,1)),flip(a)]. 10619 K(x,((y \ 1) * z) \ u) = K(x,((z \ 1) * y) * u). [para(528(a,1),10519(a,1,2,1)),flip(a)]. 10621 K(x,(y * ((z * y) \ 1)) * u) = K(x,L(z,y,y \ 1) \ u). [para(3956(a,1),10519(a,1,2,1))]. 10622 K(x \ (y \ 1),z) = K(z,y * x). [hyper(3729,a,10520,a)]. 10623 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(280,a,3344,a,b,10520,a)]. 10624 T(x,(y \ 1) \ z) = x * K(x,y * z). [para(10520(a,1),2882(a,2,2))]. 10625 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(10520(a,1),4145(a,1))]. 10626 x * (a(y,z,K(u,x)) * w) = T(x,a(u,z,y)) * w. [para(10527(a,2),4019(a,1,2,1))]. 10627 a(K(x,y),z,u) = K(a(u,z,y),x). [hyper(280,a,9700,a(flip),b,10528,a),flip(a)]. 10628 K(x * y,(x * (y * z)) \ z) = a(x * y,y,K(z,x)). [hyper(280,a,5179,a,b,10530,a)]. 10629 a((x * y) / x,z,K(u,w)) = K(y,T(a(w,z,u),x)). [hyper(280,a,5447,a(flip),b,10530,a),flip(a)]. 10630 a(L(x,y,z) * (z * y),y,K(T(x,z * y),z)) = K(L(x,y,z) * (z * y),x * (z * y)). [hyper(3023,a,10530,a(flip)),flip(a)]. 10631 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(10530(a,2),2916(a,1,2))]. 10632 (x * (y * z)) * (((x * y) * z) / (x * (y * z))) = ((x * y) * z) * a(x * (y * z),y,K(z,x)). [para(10530(a,2),3045(a,2,2))]. 10633 a((x * y) * z,y,K(z,x)) * (x * (y * z)) = T(x * (y * z),(x * y) * z). [para(10530(a,2),7396(a,1,1))]. 10634 K(x,L(y,a(y,z,K(u,w)) * v5,v6)) = K(x,L(y,v5,v6)). [para(10530(a,2),8423(a,1,2,2,1))]. 10635 a(L(x,y,z),u,K(w,v5)) != v6 | K(x,L(a(v5,u,w),y,z)) = v6. [para(10530(a,2),9517(a,1))]. 10636 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(10530(a,1),9664(a,2,2))]. 10637 a(x,y,a(z,u,K(w,v5))) * (z * v6) = T(z,a(x,y,a(v5,u,w))) * v6. [para(10530(a,2),9671(a,1,1,3))]. 10638 (a(x,y,K(z,u)) * w) \ (w * v5) = w \ ((a(u,y,K(z,x)) * w) * v5). [para(10530(a,2),9714(a,2,2,1,1))]. 10639 a(x,y,K(K(z,u),w)) * ((w * y) \ ((w * (y * z)) / z)) = T((w * y) \ ((w * (y * z)) / z),K(x,u)). [para(10530(a,2),9732(a,1,1))]. 10640 a(a(x,y,K(z,u)),w,v5) = a(x,w,K(v5,a(u,y,z))). [para(10530(a,2),10478(a,1,1))]. 10641 K(((x \ 1) * y) * z,u) = K(u,z \ ((y \ 1) * x)). [para(528(a,1),10557(a,1,2,2)),flip(a)]. 10642 T(x,K(y,z \ (u \ 1))) != w | T(x,K(y,u * z)) = w. [para(10557(a,2),5376(a,1,2))]. 10643 (x * (y * K(z,u))) \ 1 = (K(u,z) / y) * (x \ 1). [para(10566(a,1),512(a,1,1)),flip(a)]. 10644 T(x,(y * K(z,u)) \ (w \ 1)) = T(x,(K(u,z) / y) / w). [para(10566(a,1),3747(a,1,2,1)),flip(a)]. 10645 (x \ 1) * ((K(y,x) / z) * x) = ((z * T(x,y)) \ 1) * x. [para(10566(a,1),7086(a,1,2,1))]. 10647 (x * (K(y,z) * u)) \ 1 = (u \ K(z,y)) * (x \ 1). [para(10571(a,1),512(a,1,1)),flip(a)]. 10648 ((K(x,y) * z) * u) \ 1 = (u \ 1) * (z \ K(y,x)). [para(10571(a,1),512(a,1,2)),flip(a)]. 10649 (x / (K(y,z) * u)) \ 1 = (u \ K(z,y)) \ (x \ 1). [para(10571(a,1),537(a,1,1)),flip(a)]. 10650 (T(x,y) * z) \ K(x,y) = (x * z) \ 1. [para(4275(a,1),10571(a,1,1)),flip(a)]. 10651 K(K(x,y) * z,u) * T(w,z \ K(y,x)) = T(K(x,y) * z,u) * (w / (K(x,y) * z)). [para(10571(a,1),4021(a,1,2,2))]. 10652 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(10571(a,1),10517(a,1,2,2)),flip(a)]. 10653 (K(x,y) * z) \ 1 != u | z \ K(y,x) = u. [para(10588(a,1),384(a,1,1))]. 10654 (K(x,y) * z) \ y = z \ T(y,x). [hyper(6108,a,10592,a)]. 10655 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(4329,a,10592,a)]. 10659 (x \ (y / z)) * K(y / z,z) = x \ (z \ y). [para(103(a,1),10592(a,2,2))]. 10660 (x * (y \ x)) * K(x,z) = (y / x) \ T(x,z). [para(468(a,1),10592(a,1,1))]. 10661 ((x \ y) * y) * K(y,z) = (y \ x) \ T(y,z). [para(1068(a,1),10592(a,1,1))]. 10662 ((x * y) / z) \ T((x * (y * z)) / z,u) = L(z,y,x) * K((x * (y * z)) / z,u). [para(2217(a,2),10592(a,1,1)),flip(a)]. 10663 x \ T(y,z \ y) = (x \ y) * K(z,y). [para(2896(a,1),10592(a,1,2)),flip(a)]. 10664 (x \ T(y,z)) \ (x \ y) = K(z,y). [para(10592(a,1),4317(a,1,1))]. 10666 (x \ T(y,z)) * K(z,y) != u | x \ y = u. [para(10592(a,1),4330(a,1,1))]. 10667 (K(x,y) * K(z,x)) * K(T(x,y),u) = T(x,z) \ T(T(x,y),u). [para(4491(a,1),10592(a,1,1))]. 10668 (x \ y) * a(y,z,K(u,w)) = x \ T(y,a(w,z,u)). [para(10530(a,2),10592(a,1,2))]. 10669 (T(x,y) / z) \ x = z * K(y,x). [hyper(31,a,6797,a,b,10594,a)]. 10670 L(x * K(y,z),u,w) / (x * K(y,z)) = (K(z,y) / x) * L(x * K(y,z),u,w). [para(10594(a,1),2200(a,1,1)),flip(a)]. 10672 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(10594(a,1),9467(a,1,2,1,2,2))]. 10674 ((K(x,y) / z) * L(z * K(y,x),u,w)) * z = K(x,y) * L(K(x,y) \ z,u,w). [para(10596(a,1),2254(a,1,1,2,1))]. 10676 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10596(a,1),10136(a,1,1,1,2))]. 10678 x / T(y,T(x,z)) = T(y \ x,K(x,z)). [para(10603(a,1),10189(a,1,2)),flip(a)]. 10679 K(x,(y \ 1) / z) != u | K(z * y,x) = u. [para(10606(a,1),4157(a,1))]. 10680 K(x \ (y \ 1),L(z,u,w)) = K(z,L(y * x,u,w)). [hyper(280,a,9511,a(flip),b,10622,a),flip(a)]. 10681 K(x \ (y \ 1),L(z,u,w)) != v5 | K(z,L(y * x,u,w)) = v5. [para(10622(a,2),9517(a,1))]. 10682 (K(x,y) * z) \ T(x,y) = z \ x. [para(4268(a,1),10654(a,1,1)),flip(a)]. 10683 x * T(x \ (y \ T(x,z)),u) = T(K(z,x) * y,u) \ x. [para(10654(a,1),4983(a,1,2,1,2))]. 10684 L(x \ 1,x,T(y,z)) * y = x \ y. [hyper(4556,a,10655,a)]. 10686 T(x,y) / (x \ (z * T(x,y))) = z \ x. [hyper(58,a,4340,a,b,10655,a)]. 10687 (T(x,y) * z) \ T(x,y) = x \ (x / z). [hyper(30,a,4699,a,b,10655,a),flip(a)]. 10691 K(x \ T(y,z),x \ y) * K(z,y) = (x \ y) / (x \ T(y,z)). [para(10664(a,1),2992(a,1,2))]. 10692 x / (y * K(z,x)) = T(x,z) / y. [hyper(183,a,10669,a)]. 10693 (T(x,y) / z) \ T(x,u) = (z * K(y,x)) * K(x,u). [para(10669(a,1),10592(a,1,1)),flip(a)]. 10696 L(T(x,y),z,u) \ T(x,L(y,z,u)) = L(x,z,u) \ x. [para(9526(a,1),10682(a,1,1))]. 10699 x / T(T(x,y \ 1),y * z) = T(x,y) / T(x,z * y). [para(5924(a,2),10692(a,1,2))]. 10700 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(10524(a,1),5831(a,1,2)),flip(a)]. 10701 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(9433,a,10554,a)]. 10702 L(x \ 1,x,T(y,z)) = L(x \ 1,x,y). [hyper(30,a,1063,a,b,10684,a),flip(a)]. 10704 a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). [hyper(280,a,10478,a(flip),b,10482,a),flip(a)]. 10705 a(x \ y,z,K(u,x)) = a(y,z,K(u,x)). [hyper(280,a,10478,a(flip),b,10484,a),flip(a)]. 10706 K(x,y \ (z \ 1)) != u | K(z * y,x) = u. [para(10493(a,1),3711(a,1))]. 10707 T(x,a(y,z,u \ 1)) = T(x,a(u,z,y)). [hyper(9674,a,10545,a)]. 10709 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(9439,a,10562,a)]. 10712 T(x * y,x * (y * z)) = T(x * y,z). [hyper(491,a,10709,a)]. 10713 T(x * L(y,z,u),y \ 1) = x * (K(y,x) * L(y,z,u)). [hyper(58,a,9335,a(flip),b,10709,a),flip(a)]. 10714 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(10709(a,1),551(a,1,2)),flip(a)]. 10715 (x \ K(y,z / y)) * (y \ z) = (x \ 1) * (z / y). [para(103(a,1),10580(a,1,2))]. 10716 (x \ K(y,y \ (y / z))) * (y \ (z \ y)) = (x \ 1) * (y \ (y / z)). [para(989(a,1),10580(a,1,2))]. 10717 L(T(x \ K(y,z),T(z,y)),T(z,y),T(z,y) \ 1) = (T(z,y) \ 1) * ((x \ 1) * z). [para(10580(a,1),683(a,2,2))]. 10718 (x \ K(y,z / u)) * T(z * (u \ 1),y) = (x \ 1) * (z * (u \ 1)). [para(10517(a,1),10580(a,1,1,2))]. 10719 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(10623(a,1),5660(a,1))]. 10720 T(x,(y \ 1) \ z) = T(x,y * z). [hyper(280,a,2882,a,b,10624,a),flip(a)]. 10721 T(x,(y \ 1) \ z) != u | T(x,y * z) = u. [para(10624(a,2),2916(a,1))]. 10722 T(x,y / (z \ 1)) = T(x,y * z). [hyper(5698,a,10720,a)]. 10723 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(58,a,1539,a(flip),b,10720,a),flip(a)]. 10725 T(x,((y \ 1) * z) \ u) = T(x,((z \ 1) * y) * u). [para(528(a,1),10720(a,1,2,1))]. 10726 T(x,(y \ z) * (z \ L(z,u,w))) = T(x,y \ L(z,u,w)). [para(8694(a,1),10720(a,1,2)),flip(a)]. 10727 T(x * K(y,z \ 1),y * z) = (z \ 1) * T(x / (z \ 1),y). [hyper(58,a,6980,a(flip),b,10722,a),flip(a)]. 10728 T(x,y / (z \ 1)) != T(u,y * z) | u = x. [para(10722(a,1),44(a,1)),flip(a)]. 10729 T(x,y * (1 / z)) = T(x,y / z). [para(70(a,1),10722(a,1,2,2)),flip(a)]. 10730 T(x,y / (1 / z)) = T(x,y * z). [para(376(a,2),10722(a,1,2,2))]. 10731 T(x,y * (z \ 1)) = T(x,y / z). [para(378(a,1),10722(a,1,2,2)),flip(a)]. 10732 T(((x \ 1) * y) * z,x \ y) = z * ((x \ 1) * y). [hyper(1021,a,10723,a),flip(a)]. 10733 T(x,L(y \ z,x,u)) = T(x,(y \ 1) * z). [hyper(280,a,5184,a,b,10723,a)]. 10735 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [para(512(a,1),10723(a,1,2))]. 10737 K(x,T(y \ ((z \ 1) * u),z \ u)) != w | K(x,((z \ 1) * u) / y) = w. [para(10723(a,1),5554(a,1,2))]. 10738 K(x \ y,L(T(z,u \ y),y,u \ 1)) = K(z,((u \ 1) * x) / ((u \ 1) * y)). [para(10723(a,1),9596(a,1,2,1))]. 10739 T(x,y * (1 / z)) = x * K(x,y / z). [hyper(280,a,2882,a(flip),b,10729,a),flip(a)]. 10742 T(x,y * (z * ((u * z) \ 1))) = T(x,y / L(u,z,z \ 1)). [para(3956(a,1),10731(a,1,2,2))]. 10743 K(x \ (y \ 1),L(T(z,u / y),y \ 1,u)) = K(z,(u * x) / (u * (y \ 1))). [para(10731(a,1),9596(a,1,2,1))]. 10744 T(a(x,y,z),z / (u / w)) != v5 | T(a(x,y,z),w / u) = v5. [para(10731(a,1),9739(a,1))]. 10745 x \ (y * (z / y)) = (x \ z) * K(y,z). [hyper(58,a,998,a(flip),b,10663,a)]. 10748 T(x,y) / T(z * K(x,y),x) = z \ x. [para(3401(a,2),10686(a,1,2))]. 10749 T(x,y) \ (T(x,y) / z) = x \ (x / z). [hyper(319,a,10687,a)]. 10751 L(x \ 1,x,y * z) = L(x \ 1,x,z * y). [hyper(58,a,9154,a(flip),b,10702,a)]. 10752 L(x \ 1,x,y / z) = L(x \ 1,x,z \ y). [para(103(a,1),10702(a,1,3)),flip(a)]. 10753 L(x \ 1,x,T(y,z) * (u / y)) = L(x \ 1,x,K(y,z) * u). [para(6280(a,1),10702(a,1,3))]. 10754 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [para(4(a,1),10704(a,1,3,2)),flip(a)]. 10755 a(x,y,a(z,u,K(w,x \ v5))) = a(x,y,K(a(z,u,w),v5)). [para(9700(a,2),10704(a,1,3))]. 10756 a(x * y,z,K(u,x)) = a(y,z,K(u,x)). [para(4(a,1),10705(a,1,1)),flip(a)]. 10757 a(x,y,z \ 1) * T(u,a(z,y,x)) = u * a(x,y,z \ 1). [para(10707(a,1),101(a,1,2))]. 10758 T(x * y,y \ z) = T(x * y,x * z). [para(5(a,1),10712(a,1,2,2)),flip(a)]. 10759 T(x,(y * z) \ x) = T(x,z \ (y \ 1)). [hyper(3557,a,10735,a)]. 10760 T(K(x,y) * z,x \ (y \ 1)) = (x * y) * (z / (y * x)). [hyper(58,a,4929,a(flip),b,10735,a),flip(a)]. 10761 T(x,(y * z) \ (R(u,y,z) \ 1)) = T(x,((u * y) * z) \ 1). [para(96(a,1),10735(a,1,2,1)),flip(a)]. 10762 T(x,y \ (z \ 1)) * (z * y) = (z * y) * x. [para(10735(a,1),3512(a,1,1))]. 10763 L(T(x,y \ (z \ 1)),y,z) = (z * (y * x)) / (z * y). [para(10735(a,1),3538(a,1,1))]. 10764 T(x,(y \ x) \ (z \ 1)) != u | T(x,y * (z \ x)) = u. [para(10735(a,1),4774(a,1))]. 10765 T(x,(K(y,T(z,u)) * w) \ (T(u,K(y,z)) \ 1)) = T(x,(u * (K(y,z) * w)) \ 1). [para(4487(a,1),10735(a,1,2,1)),flip(a)]. 10766 T(x,K(y,L(z,u,w)) \ ((u * w) \ 1)) = T(x,(w * (T(u,w) * K(y,z))) \ 1). [para(9402(a,1),10735(a,1,2,1)),flip(a)]. 10767 T(x,y * (1 / z)) != u | T(x,y / z) = u. [para(10739(a,2),2916(a,1))]. 10768 ((x * (T(y,x) * (z / (y * x)))) \ z) * K(y * x,z) = a(x,T(y,x),z / (y * x)). [hyper(1419,a,10745,a),flip(a)]. 10769 T(x * K(y,z),y) = (x \ y) \ T(y,z). [hyper(175,a,10748,a),flip(a)]. 10770 K(x,y) * (x / z) = T(x,y) / z. [hyper(4022,a,10749,a)]. 10771 (x \ y) \ (T(y / x,y) / z) = (y / x) \ ((y / x) / z). [para(375(a,1),10749(a,1,1))]. 10772 T(T(x,x / y) / y,x) = x / y. [para(10770(a,1),2797(a,1,1))]. 10773 T(x,y \ 1) / z = K(y,x) * (x / z). [para(3566(a,1),10770(a,1,1)),flip(a)]. 10774 T(x,y) * (x / z) = x * (T(x,y) / z). [para(10770(a,1),4019(a,1,2)),flip(a)]. 10776 T(T(x,y) / z,x) = K(x,y) * (z \ x). [para(10770(a,1),6036(a,1,1))]. 10777 a(x,y,K(z,u)) * (u / w) = T(u,a(z,y,x)) / w. [para(10527(a,2),10770(a,1,1))]. 10778 T(T(x,y \ x) / y,x) = x / y. [para(775(a,1),10772(a,1,1,1))]. 10779 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(10778(a,1),3905(a,1,2))]. 10780 T(x,a(x * y,z,u)) = x * a(x,z,K(u,y)). [para(10754(a,1),10544(a,1,2)),flip(a)]. 10781 T(x * y,x * (y / z)) = T(x * y,z \ 1). [hyper(5697,a,10758,a),flip(a)]. 10782 T((x / y) * z,z \ y) = T((x / y) * z,x). [para(7(a,1),10758(a,2,2))]. 10783 T(T(x * y,x * z),u) = T(T(x * y,u),y \ z). [para(10758(a,1),18(a,1,1))]. 10784 (x * y) / T(x * z,z \ y) = (x * z) \ (x * y). [para(10758(a,2),428(a,1,2))]. 10785 T(x,((K(y,z) * u) * w) \ x) = T(x,w \ (u \ K(z,y))). [para(10571(a,1),10759(a,2,2,2))]. 10786 T(x * K(y / z,z),y / z) = (x \ (y / z)) \ (z \ y). [para(103(a,1),10769(a,2,2))]. 10787 K(x,y * x) * ((y * x) / z) = (x * y) / z. [para(3514(a,1),10773(a,1,1)),flip(a)]. 10788 T(((T(x,y) * z) * (z \ y)) / u,(x * z) * (z \ y)) = K((x * z) * (z \ y),y) * (u \ ((x * z) * (z \ y))). [para(1995(a,1),10776(a,1,1,1))]. 10789 T(x,y * (z * (y \ x))) = y * T(T(x,z) / y,x). [para(10776(a,2),4583(a,2,2))]. 10790 a(a(x,y,K(z,u)),w,v5) != v6 | a(a(x,y,z),w,K(v5,u)) = v6. [para(9700(a,2),10479(a,1,1))]. 10791 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(10457(a,1),10479(a,1))]. 10792 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(10528(a,1),10479(a,1))]. 10793 a(x,y,K(z,L(u,w,x))) != v5 | a(x,y,K(z,u)) = v5. [para(10486(a,2),10479(a,1))]. 10794 a(x,y,K(z,L(u,x,w))) = a(x,y,K(z,u)). [hyper(280,a,10478,a(flip),b,10487,a),flip(a)]. 10796 K(((x \ 1) * y) * z,u) != w | K(u,z \ ((y \ 1) * x)) = w. [para(528(a,1),10604(a,1,1,1))]. 10797 K((x \ (y \ 1)) * z,u) != w | K(u,z \ (y / (x \ 1))) = w. [para(533(a,1),10604(a,1,1,1))]. 10798 K(((x \ 1) * (y \ (z \ 1))) * u,w) != v5 | K(w,u \ ((z / (y \ 1)) * x)) = v5. [para(534(a,1),10604(a,1,1,1))]. 10799 K(x * ((y \ 1) * (z \ (u \ 1))),w) != v5 | K(w,((u / (z \ 1)) * y) / x) = v5. [para(534(a,1),10608(a,1,1,2))]. 10800 K(x,(y * (z \ 1)) * u) != w | K(x,(z * (y \ 1)) \ u) = w. [para(298(a,1),10625(a,1,2,1))]. 10801 K(x,((y \ 1) * z) * u) != w | K(x,((z \ 1) * y) \ u) = w. [para(528(a,1),10625(a,1,2,1))]. 10802 K(x,(y * ((z * y) \ 1)) * u) != w | K(x,L(z,y,y \ 1) \ u) = w. [para(3956(a,1),10625(a,1,2,1))]. 10803 L(x \ y,x,K(y,z)) != u | x \ y = u. [para(6000(a,2),10666(a,1))]. 10804 L(x,y,z) * T(z * y,x) = z * (y * x). [hyper(124,a,10714,a(flip))]. 10806 T((x * (y * z)) / (x * y),K(x * y,z)) = K(x * y,z) * L(z,y,x). [para(10714(a,2),5581(a,1,2)),flip(a)]. 10808 K(x,((y \ 1) * z) \ u) != w | K(x,((z \ 1) * y) * u) = w. [para(528(a,1),10719(a,1,2,1))]. 10810 K(x,(y \ K(z,u)) \ w) != v5 | K(x,(K(u,z) * y) * w) = v5. [para(10571(a,1),10719(a,1,2,1))]. 10811 T(x,y / (z \ 1)) != u | T(x,y * z) = u. [para(3746(a,2),10721(a,1))]. 10812 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(10733(a,1),3015(a,1))]. 10813 K(x,T(y,(z \ 1) * u)) = K(x,T(y,z \ u)). [para(10733(a,1),5646(a,1,2))]. 10814 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(376(a,1),10767(a,1,2,2))]. 10815 K(x,y) * K(y,L(x,z,u)) != w | a(x,z,K(y,u)) = w. [para(9408(a,2),10791(a,1))]. 10817 a(K(x,y),z,u) != w | a(u,z,K(y,x)) = w. [para(10478(a,2),10791(a,1))]. 10819 T(L(x,y,z) * (z * y),x) = z * (y * x). [hyper(1947,a,10804,a)]. 10820 L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x. [hyper(112,a,10804,a(flip),b,1234,a),flip(a)]. 10821 T(x,y / ((z \ 1) * u)) != w | T(x,y * ((u \ 1) * z)) = w. [para(528(a,1),10811(a,1,2,2))]. 10822 T(x,(y * z) \ 1) != u | T(x,z \ (y \ 1)) = u. [para(512(a,1),10812(a,1,2))]. 10825 K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(10627(a,1),10817(a,1))]. 10826 T(L(x,y,y * (z / y)) * ((y * (z / y)) * y),x) = z * (T(y,z) * x). [hyper(280,a,4646,a(flip),b,10819,a),flip(a)]. 10827 T(L(x,y \ z,y) * z,x) = y * ((y \ z) * x). [para(5(a,1),10819(a,1,1,2))]. 10828 T(L(x,y,z / y) * z,x) = (z / y) * (y * x). [para(7(a,1),10819(a,1,1,2))]. 10829 T(((x * y) \ z) * (x * y),y \ (x \ z)) = x * (y * (y \ (x \ z))). [para(269(a,1),10819(a,1,1,1))]. 10830 L(x,y,L(y,z,u) * (u * z)) = L(x,y,u * (z * y)). [para(10819(a,1),6671(a,1,3)),flip(a)]. 10831 (K(x,y) / z) * (z \ 1) = z \ (z \ K(x,y)). [hyper(58,a,5589,a,b,10504,a)]. 10833 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(10525(a,1),10075(a,1))]. 10834 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(3950(a,1),10833(a,1,2))]. 10835 L(K(x,y),z,z \ 1) != u | K(x,y) = u. [para(9384(a,2),10833(a,1))]. 10836 K(x,y * (z * (u \ 1))) != w | K(x,y / (u * (z \ 1))) = w. [para(298(a,1),10834(a,1,2,2))]. 10837 K(x,y * ((z \ 1) * u)) != w | K(x,y / ((u \ 1) * z)) = w. [para(528(a,1),10834(a,1,2,2))]. 10838 K(x,y * ((z \ 1) * ((u \ 1) * w))) != v5 | K(x,y / (((w \ 1) * u) * z)) = v5. [para(531(a,1),10834(a,1,2,2))]. 10840 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [para(10529(a,1),4353(a,1,1))]. 10841 L(x \ 1,x,a(y,z,K(u,w))) * a(w,z,K(y,u)) = x \ a(y,z,K(u,w)). [hyper(1070,a,10532,a),flip(a)]. 10842 (x * a(y,z,K(u,w))) * v5 = (x * a(w,z,K(y,u))) * v5. [hyper(52,a,10532,a)]. 10843 T(((a(x,y,K(z,u)) * w) / (w * v5)) * w,L(v5,w,a(z,y,K(u,x)))) = L(v5,w,a(z,y,K(u,x))) \ (a(z,y,K(u,x)) * w). [para(10533(a,1),1392(a,1,1,1,1))]. 10844 (a(x,y,K(z,u)) \ (a(x,y,K(z,u)) / w)) * (a(u,y,K(x,z)) * a(x,y,K(z,u))) = ((a(x,y,K(z,u)) \ 1) * w) \ a(x,y,K(z,u)). [para(10533(a,1),7114(a,1,2))]. 10845 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(5250(a,1),10535(a,2,3)),flip(a)]. 10846 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(5281(a,1),10535(a,2,3))]. 10847 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) != v5 | w = v5. [para(10537(a,1),240(a,1,2))]. 10849 (x * (a(y,z,K(u,w)) * v5)) \ (x * T(v5,a(w,z,K(u,y)))) = a(w,z,K(u,L(y,a(w,z,K(u,y)) \ v5,x))). [para(10537(a,1),9445(a,1,1,2))]. 10850 a(x,y,K(z,u)) \ w != v5 | a(u,y,K(z,x)) * w = v5. [para(10538(a,1),265(a,1,2)),flip(b)]. 10851 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [para(5297(a,1),10540(a,1,2,3))]. 10852 L(L(L(x \ 1,x,K(y,z)) \ a(z,u,K(y,w)),v5,v6),L(x \ 1,x,K(y,z)),K(y,z)) = L((K(y,z) / x) \ K(y,L(z,u,w)),v5,v6). [para(10541(a,1),2061(a,2,1,2))]. 10853 T((a(x,y,K(z,u)) * L(a(x,y,K(z,u)) \ 1,w,v5)) * K(z,x),a(x,y,K(z,u))) = K(z,L(x,y,u)) * L(K(z,x) \ (a(x,y,K(z,u)) \ K(z,x)),w,v5). [para(10541(a,1),7419(a,2,1))]. 10854 K(x,L(y,L(z,u,w),z)) = K(x,y) * 1. [para(8666(a,1),10541(a,1,2)),flip(a)]. 10855 K(x,L(y,L(z,u,w),z)) != v5 | K(x,y) = v5. [para(10854(a,2),120(a,1)),flip(b)]. 10856 K(x,L(y,z,L(z,u,w))) != v5 | K(x,y) = v5. [para(2000(a,1),10855(a,1,2))]. 10857 K(x,L(y,z,L(z,u,w))) = K(x,y). [hyper(10856,a,xx),flip(a)]. 10858 K(x,L(y,z,z)) = K(x,y). [para(322(a,1),10857(a,1,2,3))]. 10859 (x * (x * y)) * K(y,z) = x * (x * T(y,z)). [para(10858(a,1),9535(a,1,2))]. 10860 T(T(x,a(y,z,u)),y) = T(x,L(y,z,u)). [para(10544(a,1),10542(a,1,1))]. 10861 T(x,L(y,z,z)) = T(x,y). [para(9718(a,1),10860(a,1,1)),flip(a)]. 10862 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(10556(a,1),4605(a,1,1))]. 10863 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(10594(a,2),10556(a,1,1))]. 10864 K(x,y) * (K(z,L(u,w,v5)) / u) = K(x,y) / T(u,L(z,w,v5)). [para(9511(a,1),10590(a,1,2,1))]. 10865 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(10595(a,1),3116(a,2,1))]. 10866 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(5277(a,1),10636(a,1,3))]. 10867 (x \ (y / z)) * K(y,z) = x \ (z \ y). [para(2906(a,1),10659(a,1,2))]. 10869 (x \ (y \ z)) / T(z,y) = (x \ (z / y)) / z. [hyper(112,a,10867,a(flip),b,3373,a)]. 10870 x * ((y \ x) * K(x,z)) = (y / x) \ T(x,z). [hyper(5016,a,10660,a)]. 10871 (x \ y) \ T(x,z) = (y \ x) * T(x,z). [hyper(3440,a,10661,a),flip(a)]. 10872 L(x \ 1,x,T(T(T(y,z),u),w) * (y \ z)) = L(x \ 1,x,T(T(y,u),w) * (y \ z)). [para(517(a,1),10751(a,1,3)),flip(a)]. 10873 (x / y) \ (x / (x * y)) = L(x \ 1,x,y \ x). [hyper(58,a,459,a,b,10752,a)]. 10874 (T(x,y \ (z \ 1)) * z) * y = (z * y) * R(x,z,y). [hyper(1171,a,10762,a)]. 10875 ((x * y) * z) \ ((T(z,y \ (x \ 1)) * x) * y) = a(T(z,y \ (x \ 1)),x,y). [para(10762(a,1),9(a,2,1)),flip(a)]. 10876 T(x,a(x * y,z,u)) = T(x,a(y,z,u)). [hyper(280,a,10544,a(flip),b,10780,a),flip(a)]. 10877 (x * y) / T(x * y,z \ 1) = K(x * (y / z),x * y). [para(10781(a,1),2967(a,2,2)),flip(a)]. 10878 T(x * y,(x \ 1) \ 1) \ (x * (y / (x \ 1))) = T(L(x,x \ 1,y),x * (y / (x \ 1))). [para(10781(a,1),6255(a,1,1))]. 10879 K(x,y) * ((y * x) / z) = (x * y) / z. [para(2840(a,1),10787(a,1,1))]. 10880 K(x,y) * ((y * x) / z) != u | (x * y) / z = u. [para(10879(a,1),4300(a,1,2)),flip(b)]. 10881 T((x * y) / z,x * y) = (K(y,x) * z) \ (y * x). [para(10879(a,1),6346(a,1,1))]. 10882 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [hyper(58,a,10533,a,b,10840,a)]. 10884 T(K(x,K(y,z)) * a(z,u,K(y,w)),K(y,z)) = T(K(y,z),x) \ K(y,L(z,u,w)). [para(10840(a,1),4389(a,2,2))]. 10885 K(x,L(y,z,L(u,x,w))) = a(y,z,K(x,u)) * K(x,y). [para(5162(a,1),10840(a,1,1,3)),flip(a)]. 10886 K(x,L(y,z,u * L(u \ 1,u,w))) = a(y,z,1) * K(x,y). [para(6438(a,1),10840(a,1,1,3)),flip(a)]. 10887 K(x,L(y,z,L(u,u,w))) = a(y,z,K(x,u)) * K(x,y). [para(9387(a,1),10840(a,1,1,3)),flip(a)]. 10888 a(x,y,a(z,u,K(w,v5))) * K(z,x) = K(z,L(x,y,a(v5,u,w))). [para(10530(a,2),10840(a,1,1,3))]. 10889 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(9614,a,10846,a)]. 10890 (x * x) * T(x * x,y) = x * (x * T(x * x,y)). [hyper(7124,a,10859,a)]. 10891 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(58,a,10535,a(flip),b,10866,a)]. 10892 (x / y) \ T(y,z) = y * (x \ T(y,z)). [para(10592(a,1),10870(a,1,2)),flip(a)]. 10893 ((x / y) * L(y,z,u)) \ T(y,w) = y * ((x * L(y,z,u)) \ T(y,w)). [para(2198(a,1),10892(a,1,1))]. 10894 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(280,a,9384,a,b,10882,a),flip(a)]. 10895 (a(x,y,K(z,u)) * (K(x,u) * L(K(x,u) \ 1,w,v5))) * K(x,u) = K(x,L(u,y,z)) * (K(x,u) * L(K(x,u) \ 1,w,v5)). [para(10882(a,1),2386(a,2,1))]. 10896 a(x,y,K(z,u)) * K(x,L(u,w,z)) = K(x,L(L(u,w,z),y,z)). [para(5056(a,1),10882(a,1,1,3))]. 10897 L(a(x,y,K(z,u)),K(x,u),K(x,u) \ 1) * L(K(x,u) * (K(x,L(u,y,z)) \ 1),w,v5) = L(a(x,y,K(z,u)) * L(a(x,y,K(z,u)) \ 1,w,v5),K(x,u),K(x,u) \ 1). [para(10882(a,1),8182(a,1,2,1,2,1))]. 10898 a(x,y,K(z,u / w)) * K(x,z) = K(x,L(z,y,w * (u \ 1))). [para(10606(a,1),10882(a,1,1,3))]. 10899 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(280,a,5828,a(flip),b,10894,a),flip(a)]. 10900 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(10894(a,1),39(a,1))]. 10901 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(10894(a,2),5915(a,1))]. 10902 a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. [para(10894(a,2),9433(a,1))]. 10903 a(x * L(y,z,u),w,K(v5,y)) != v6 | a(x,w,K(v5,y)) = v6. [para(10485(a,2),10479(a,1))]. 10904 (x * y) * a(x,z,K(u,y)) != w | T(x * y,a(y,z,u)) = w. [para(10377(a,1),10631(a,1,2))]. 10905 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(10700(a,1),10242(a,2,2))]. 10906 L(x,y,z) * (x \ (x \ (z * y))) = x \ ((z * (y * x)) / x). [hyper(111,a,10820,a(flip),b,1915,a),flip(a)]. 10907 ((x * (y * z)) / z) \ ((z \ (x * y)) * L(z,y,x)) = K(z \ (x * y),L(z,y,x)). [para(10820(a,1),11(a,2,1)),flip(a)]. 10908 (x * y) * (((x * (y * z)) / z) \ (x * y)) = z * (L(z,y,x) \ (x * y)). [para(10820(a,1),174(a,1,2,1))]. 10909 (x * y) \ (z * (L(z,y,x) \ (x * y))) = ((x * (y * z)) / z) \ (x * y). [para(10820(a,1),370(a,1,1)),flip(a)]. 10910 L(T(x \ 1,x \ (y * z)),x,L(x,z,y) * (x \ (y * z))) = ((y * (z * x)) / x) \ (L(x,z,y) * (x \ (x \ (y * z)))). [para(10820(a,1),6944(a,1,1)),flip(a)]. 10911 ((x \ 1) * (x * ((x \ 1) \ y))) / ((x \ 1) \ y) = (x * y) * (((x \ 1) \ y) \ ((x \ 1) * x)). [para(7044(a,1),10820(a,1,1)),flip(a)]. 10912 ((x \ 1) * (x * (y / (x \ 1)))) / (y / (x \ 1)) = (y * x) * ((y / (x \ 1)) \ ((x \ 1) * x)). [para(7054(a,1),10820(a,1,1)),flip(a)]. 10913 T(L(x,K(y,z) * u,K(z,y)) * u,x) = K(z,y) * ((K(z,y) \ u) * x). [para(4271(a,1),10827(a,1,1,1,2))]. 10914 (x / (y * ((y \ z) * u))) * (L(u,y \ z,y) * z) = x * K(u,L(u,y \ z,y) * z). [para(10827(a,1),4325(a,1,1,2))]. 10915 T(L(x,y,y \ z) * z,x) = (z / y) * (y * x). [para(6672(a,1),10828(a,1,1,1))]. 10916 T(L(x \ 1,x,y \ x),x \ (x / y)) = (y \ x) \ (x \ (y \ x)). [para(10873(a,1),2179(a,1,1))]. 10917 L(x,y,y \ z) * z = x * (((z / y) * (y * x)) / x). [hyper(948,a,10915,a),flip(a)]. 10918 a(x,y,K(z,u \ (x * w))) = a(x,y,K(z,u \ w)). [hyper(280,a,10478,a(flip),b,10488,a),flip(a)]. 10919 a((x * y) / x,z,K(u,w)) != v5 | a(y,z,K(u,T(w,x))) = v5. [para(10489(a,2),10479(a,1))]. 10920 (x * (y \ T(y * z,u))) \ (x * z) = K(u,L(y * z,y \ 1,x)). [hyper(58,a,5240,a,b,10522,a)]. 10921 K(x,L(y / (z / (u \ 1)),w,v5)) = K(x,L(y * (u \ (z \ 1)),w,v5)). [para(533(a,1),10526(a,1,2,1,2)),flip(a)]. 10923 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). [hyper(10792,a,10543,a)]. 10924 a(x \ L(x,y,z),u,K(w,L(v5,x,v6))) = a(v5,u,K(w,L(x,y,z) \ x)). [para(9753(a,1),10543(a,2,3))]. 10925 a(x,y,K(z,L(u,w,v5))) * K(u,z) = K(u,L(z,y,L(x,w,v5))). [para(10543(a,1),10840(a,1,1))]. 10926 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(30,a,2737,a(flip),b,10565,a),flip(a)]. 10927 (x \ K(y,x * z)) \ z = T((x \ 1) \ z,y). [para(10520(a,1),10582(a,1,1,2))]. 10928 K(x,L(y * (z \ 1),u,w)) != v5 | K(x,L(y / z,u,w)) = v5. [para(10610(a,2),9517(a,1))]. 10929 K(x,(y * (z \ 1)) / (y * ((z * u) \ 1))) = K(x,(y * ((z / u) \ 1)) * (z * (y \ 1))). [hyper(58,a,9678,a(flip),b,10613,a)]. 10930 K(x,y * ((z / (u \ 1)) * (w \ 1))) = K(x,y / (w * (u \ (z \ 1)))). [para(533(a,1),10613(a,1,2,2,2)),flip(a)]. 10931 K(T(x,y),z * ((x \ 1) * y)) = K(T(x,y),z / (y \ 1)). [hyper(58,a,10088,a(flip),b,10615,a),flip(a)]. 10932 K(x,y) * (T(x,a(z,u,w)) * v5) != v6 | T(x,y) * (a(w,u,K(z,x)) * v5) = v6. [para(10626(a,1),4104(a,1,2))]. 10933 a(a(x,y,K(z,u)),w,v5) = a(x,w,a(v5,y,K(z,u))). [para(10530(a,2),10640(a,2,3))]. 10934 K(((x \ 1) * y) * z,T(u,w)) != v5 | K(u,T(z \ ((y \ 1) * x),w)) = v5. [para(10641(a,2),4739(a,1))]. 10935 K(x,L(y,z,z \ K(u,w))) * K(w,u) = (K(x,y) / z) * ((K(u,w) / z) \ 1). [hyper(58,a,9658,a,b,10643,a)]. 10936 (T(x,y) / z) \ T(x,u) = z * (K(x,u) * K(y,x)). [hyper(280,a,5948,a(flip),b,10693,a),flip(a)]. 10937 (x \ K(y,z)) * (y \ z) = (x \ 1) * (z / y). [para(2839(a,1),10715(a,1,1,2))]. 10938 (L(x,x,y) * y) \ x = (x \ 1) * (x / y). [hyper(58,a,3326,a(flip),b,10937,a)]. 10939 K(x,T(y,(z \ ((u \ 1) * w)) * 1)) = K(x,T(y,((w \ 1) * u) * z)). [para(10725(a,1),5595(a,2,2))]. 10940 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(58,a,3875,a(flip),b,10863,a)]. 10941 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(10940(a,1),10555(a,1,2))]. 10942 (K(x,y) * z) \ (x * y) = z \ (y * x). [hyper(1059,a,10881,a),flip(a)]. 10943 ((x * y) / z) * (y * x) = (x * y) * (z \ (y * x)). [para(10942(a,1),2863(a,1,2)),flip(a)]. 10944 (T(x,y) * z) \ (x * y) = (x * z) \ (y * x). [para(4014(a,1),10942(a,1,1))]. 10945 (x * (T(y,x) * z)) \ (y * x) = (x * (y * z)) \ (x * y). [para(4485(a,1),10942(a,1,1)),flip(a)]. 10946 T(x * K(y,z),z) \ (x * z) = (x * K(y,z)) \ (z * x). [para(4529(a,2),10944(a,1,1))]. 10947 ((x * y) * (z \ (x * y))) / T(x,y) = ((x * y) * (z \ (y * x))) / x. [para(10943(a,1),4567(a,2,1))]. 10948 K(x * y,(x * (y * z)) \ z) = a(y,y,K(z,x)). [hyper(280,a,10756,a(flip),b,10628,a),flip(a)]. 10949 K(x * y,(x * (y * z)) \ z) = 1. [hyper(280,a,10458,a(flip),b,10948,a),flip(a)]. 10950 K(x * y,L(z,y,x) \ z) = 1. [hyper(5197,a,10949,a)]. 10952 (((x * y) / L(z,y,x)) * z) / (x * y) = (((x * (y * z)) / z) \ (x * y)) * 1. [para(10950(a,1),8426(a,1,2)),flip(a)]. 10953 L(T(x,y),y,z) \ T(x,y) = L(x,y,z) \ x. [para(9416(a,1),10696(a,1,2))]. 10955 a(x,y,K(z,u)) * w != v5 | a(u,y,K(x,z)) * w = v5. [para(9055(a,1),10847(a,1,2))]. 10956 a(x,y,K(z,u)) * K(z,x) != w | K(z,L(x,y,u)) = w. [para(9554(a,1),10847(a,1,2))]. 10957 a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. [para(9054(a,1),10850(a,1))]. 10958 K(x,L(y,z,L(u,x,w))) = K(x,L(y,z,u)). [hyper(280,a,10840,a(flip),b,10885,a),flip(a)]. 10959 K(x,L(y,z,L(u,u,w))) = K(x,L(y,z,u)). [hyper(280,a,10840,a(flip),b,10887,a),flip(a)]. 10960 a(x,y,K(z,u)) * K(x,z) != w | K(x,L(z,y,v5 \ (v5 / u))) = w. [para(3583(a,1),10902(a,1,1,3))]. 10961 a(x,y,K(z,u)) * K(x,L(u,z,w)) != v5 | K(x,L(L(u,z,w),y,z)) = v5. [para(5162(a,1),10902(a,1,1,3))]. 10962 L(x,y,y \ z) * (x \ z) = ((z / y) * (y * x)) / x. [hyper(1937,a,10917,a)]. 10963 (x * y) \ (x * (((y / z) * (z * x)) / x)) = y \ (L(x,z,z \ y) * (x \ y)). [hyper(111,a,10917,a(flip),b,2590,a)]. 10967 K(x,L(y,z,L(u,u,w))) != v5 | K(x,L(y,z,u)) = v5. [para(10887(a,2),10956(a,1))]. 10969 x \ (y * (L(y,z,z \ x) \ x)) = (((x / z) * (z * y)) / y) \ x. [para(10962(a,1),370(a,1,1)),flip(a)]. 10970 T(x * K(y,z),u) \ (x * z) = x * (T(K(y,z) * x,u) \ z). [para(10683(a,1),6286(a,1,2)),flip(a)]. 10971 x / T(T(x,y \ 1),y * z) = K(x,y) * K(z * y,x). [hyper(280,a,4419,a(flip),b,10699,a),flip(a)]. 10972 T(x * L(y,z,u),y \ 1) = T(x,y \ 1) * L(y,z,u). [hyper(280,a,4077,a,b,10713,a),flip(a)]. 10973 L(x \ 1,x,L(y,z,u)) * (K(y,L(x \ 1,x,L(y,z,u))) * L(y,z,u)) = T(x \ L(y,z,u),y \ 1). [para(1063(a,1),10713(a,1,1)),flip(a)]. 10974 a(x,y,a(z,u,K(w,x \ v5))) = a(x,y,a(z,u,K(w,v5))). [para(9700(a,2),10755(a,2,3))]. 10975 (x / y) \ ((x / y) / z) = (y \ x) \ ((y \ x) / z). [para(375(a,1),10771(a,1,2,1)),flip(a)]. 10976 (x \ y) \ z != (y / x) \ ((y / x) / u) | (x \ y) / u = z. [para(10975(a,2),42(a,1)),flip(a)]. 10977 T(x * K(y,z),y / z) = (x \ (y / z)) \ (z \ y). [para(2906(a,1),10786(a,1,1,2))]. 10978 (x \ (y / z)) \ (z \ y) = z * T(x / z,y). [hyper(58,a,6980,a(flip),b,10977,a),flip(a)]. 10979 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [hyper(280,a,9384,a,b,10851,a),flip(a)]. 10980 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(280,a,8347,a,b,10851,a),flip(a)]. 10981 K(x * (y / z),x * y) = K(z \ 1,x * y). [hyper(2971,a,10877,a),flip(a)]. 10982 K(x * (y / z),x * y) = K(x * y,z). [hyper(280,a,3571,a(flip),b,10981,a),flip(a)]. 10983 K(x,T(y * ((x \ 1) * z),z)) = K(T(x,z),y / (z \ 1)). [hyper(4739,a,10931,a)]. 10984 T(T(x,y \ 1),y * z) \ x = K(x,y) * K(z * y,x). [hyper(1025,a,10971,a)]. 10985 T(L(x,y,z) * T(u,x \ 1),T(L(x,y,z),T(u,x \ 1))) = T(u * L(x,y,z),x \ 1). [hyper(280,a,913,a,b,10972,a)]. 10986 T(x * L(y \ L(y,z,u),y,T(x,(y \ L(y,z,u)) \ 1)),(y \ L(y,z,u)) \ 1) = (T(x,(y \ L(y,z,u)) \ 1) / y) * L(y,z,u). [hyper(280,a,2412,a(flip),b,10972,a),flip(a)]. 10987 K(x,T(y * ((x \ 1) * z),z)) = K(T(x,z),y * z). [hyper(280,a,10521,a(flip),b,10983,a),flip(a)]. 10988 K(x,T(y * ((x \ 1) * z),z)) = K(x,z * y). [hyper(280,a,5461,a(flip),b,10987,a),flip(a)]. 10989 K(x * (y / z),T(y * (((x * (y / z)) \ 1) * x),x)) = K(x * y,z). [hyper(280,a,10982,a(flip),b,10988,a),flip(a)]. 10990 a(x,y,K(z,L(u,w,v5))) = K(x,L(a(u,y,z),w,v5)). [hyper(10635,a,10923,a),flip(a)]. 10991 T(T(x * ((y * x) \ 1),z),u / L(y,x,x \ 1)) = T(T(x * ((y * x) \ 1),u),z). [hyper(58,a,768,a(flip),b,10742,a),flip(a)]. 10992 T(x,(y * z) \ (R(u,y,z) \ 1)) = T(x,z \ ((u * y) \ 1)). [hyper(280,a,10735,a(flip),b,10761,a),flip(a)]. 10994 a(a(x,y,z),u,K(w,v5)) = a(x,u,a(w,y,K(z,v5))). [hyper(10790,a,10933,a)]. 10995 K(x,L(y,z,u * L(u \ 1,u,w))) = 1 * K(x,y). [para(326(a,1),10886(a,2,1))]. 10996 K(x,L(y,z,u * L(u \ 1,u,w))) != v5 | K(x,y) = v5. [para(10995(a,2),113(a,1))]. 10998 K(x,T(a(y,z,u),w)) != v5 | a(x,z,K(u,T(y,w))) = v5. [para(10629(a,1),10919(a,1))]. 10999 K(x,L(y * ((z \ 1) * u),w,v5)) != v6 | K(x,L(y / ((u \ 1) * z),w,v5)) = v6. [para(528(a,1),10928(a,1,2,1,2))]. 11000 K(x * (y \ (z \ 1)),L(u,w,v5)) != v6 | K(u,L((z / (y \ 1)) / x,w,v5)) = v6. [para(9588(a,1),10928(a,1))]. 11001 ((x * y) * R(z,x,y)) * (u / (R(z,x,y) * (x * y))) = T(K(x * y,R(z,x,y)) * u,y \ ((z * x) \ 1)). [hyper(58,a,10760,a(flip),b,10992,a)]. 11002 (K(x,y) * K(z,x)) * K(x,T(u,y)) = T(x,z) \ T(T(x,y),u). [hyper(4735,a,10667,a)]. 11003 (x \ y) / (x \ T(y,z)) = K(x,K(y,z)) * K(z,y). [para(5890(a,1),10691(a,1,1)),flip(a)]. 11004 (x \ y) / (x \ T(y,z)) = K(z,T(y,x)). [hyper(280,a,3894,a(flip),b,11003,a),flip(a)]. 11005 L(x,y,z) / (((z * y) / x) \ T((z * (y * x)) / x,u)) = K(u,T((z * (y * x)) / x,(z * y) / x)). [para(2217(a,2),11004(a,1,1))]. 11006 ((x \ 1) \ (y * (x \ 1))) / (x * T(y / x,z)) = K(z,T(y * (x \ 1),x \ 1)). [para(4723(a,1),11004(a,1,2))]. 11007 T(x * K(y,z),z * y) = (y \ 1) * T(x / (y \ 1),z). [para(3566(a,1),10727(a,1,1,2))]. 11008 T(x * K(y,z),z * y) = y \ T(x * y,z). [hyper(280,a,4993,a(flip),b,11007,a),flip(a)]. 11009 T(x,y) * T(z,x * y) = x * (x \ T(z * x,y)). [para(11008(a,1),4954(a,1,2)),flip(a)]. 11010 T(x,y) * T(z,x * y) = T(z * x,y). [hyper(280,a,5,a(flip),b,11009,a),flip(a)]. 11011 T(x,y) \ T(z * x,y) = T(z,x * y). [hyper(111,a,5,a(flip),b,11009,a)]. 11013 T(x,y) * L(T(z,x * y),u,w) = T(L(z,u,w) * x,y). [para(20(a,2),11010(a,1,2))]. 11014 x * T(y,x * x) = T(y * x,x). [para(100(a,1),11010(a,1,1))]. 11016 T(x,y) * T(x,y) = T(x * x,y). [para(435(a,1),11010(a,1,2))]. 11017 T(x,y) * T(T(x,y),z) = T(T(x,z) * x,y). [para(452(a,1),11010(a,1,2))]. 11018 K(x,y) * (x \ (y * T(z,y * (x \ 1)))) = x \ T(z * y,x \ 1). [para(11010(a,1),4177(a,1,2)),flip(a)]. 11019 L(x,y,z) * (y * z) = z * T(x * y,z). [para(11010(a,1),6707(a,1,2)),flip(a)]. 11020 T(a(x,y,y) * z,u) = T(z,u) * a(x,y,y). [para(9715(a,1),11010(a,1,2)),flip(a)]. 11021 T(x \ y,(y \ 1) * (y \ 1)) = T(y / x,y \ 1). [hyper(226,a,3541,a(flip),b,11014,a),flip(a)]. 11022 T(T(x,y),y) = T(x,y * y). [hyper(226,a,917,a(flip),b,11014,a)]. 11023 T(K(x,y),z * z) = K(x,y). [hyper(29,a,5542,a(flip),b,11014,a),flip(a)]. 11024 T(x,K(y,z) * K(y,z)) = x. [hyper(29,a,5358,a(flip),b,11014,a),flip(a)]. 11025 x * T((y \ (x \ (y * y))) * y,y) = T(y * y,x * y). [para(11014(a,1),1903(a,1,2))]. 11026 T(x * y,x * x) = T(y * x,x). [hyper(1374,a,11022,a),flip(a)]. 11028 T(x * y,x * x) != z | T(y * x,x) = z. [para(11022(a,1),1374(a,1))]. 11029 T(x,y) * (T(x,y) * z) = x * (T(x,y * y) * z). [para(11022(a,1),4627(a,2,2,1))]. 11031 K(x,T(y,z * z)) = K(x,y). [para(11022(a,1),5435(a,1,2))]. 11032 T(x,T(y,z * z)) = T(x,y). [para(11022(a,1),5610(a,1,2))]. 11033 T(T(x,y) * T(y,z),y) = T(x,y * y) * T(y,z). [para(11022(a,1),6109(a,2,1))]. 11034 T(x * x,K(y,z)) = x * x. [hyper(49,a,11023,a)]. 11035 (K(x,y) * K(x,y)) * z = z * (K(x,y) * K(x,y)). [hyper(1021,a,11024,a),flip(a)]. 11036 T(x,K(y,z * z)) = x. [hyper(5752,a,11032,a)]. 11037 K(T(x,y * y),z) * (u * T(x,y * y)) = T(T(T(x,y * y),z) * u,x). [hyper(4754,a,11032,a)]. 11038 T(T(x,y * y) * z,x) = z * T(x,y * y). [hyper(1021,a,11032,a),flip(a)]. 11039 T(x,y) != z * T(y,u * u) | T(y,u * u) * z = x. [para(11032(a,1),916(a,1))]. 11040 T(x,T(y * y,z)) = T(x,y * y). [hyper(5808,a,11036,a)]. 11041 K(x,y * y) * z = z * K(x,y * y). [hyper(5372,a,11036,a)]. 11042 K(x * x,y) * z = z * K(x * x,y). [hyper(5364,a,11036,a),flip(a)]. 11043 K(x,T(y * y,z)) = K(x,y * y). [hyper(4604,a,11036,a)]. 11044 T(K(x,y * y),z) = K(x,y * y). [hyper(49,a,11036,a)]. 11045 T(x,K(y,z * z)) != u | x = u. [para(11036(a,1),44(a,2))]. 11046 ((x * y) * T(x,y)) \ (y * T(T(x,y) * T(x,y),K(z,u))) = (x * y) \ ((y * (T(x,y) * T(x,y))) / T(x,y)). [para(11034(a,2),2611(a,1,2,2))]. 11047 x * (T(y * y,z) * K(x,u)) = T(x,u) * T(y * y,z). [para(11034(a,1),4074(a,1,2,1)),flip(a)]. 11048 T(x * x,y * z) != u | T(x * x,z * y) = u. [para(11034(a,1),5781(a,1,1))]. 11049 (x * T(T(y,x) * T(y,x),K(z,u))) / T(y,x) = ((y * x) / T(y,x)) * L(T(y,x),y,x). [para(11034(a,2),6710(a,2,1,2)),flip(a)]. 11051 x * T(T(x,y),y) = T(x * x,y). [hyper(3936,a,11016,a)]. 11054 (x * y) * R(K(z,u * u),x,y) = (K(z,u * u) * x) * y. [para(11043(a,1),5434(a,1,1,1)),flip(a)]. 11055 x * T(x,y * y) = T(x * x,y). [para(11022(a,1),11051(a,1,2))]. 11056 T(x,y * y) = x * K(x * x,y). [hyper(29,a,10562,a,b,11055,a),flip(a)]. 11057 T((x * y) * (x * y),z) / a(x,y,T(x * y,z * z)) = x * (y * T(x * y,z * z)). [hyper(112,a,11055,a(flip),b,74,a)]. 11059 K(x * x,y) = K(x,y * y). [hyper(2899,a,11056,a),flip(a)]. 11060 x * T(y,z * z) = x * (y * K(y * y,z)). [hyper(53,a,11056,a)]. 11061 K(x * x,y) = K(x,T(y * y,z)). [hyper(280,a,11043,a,b,11059,a),flip(a)]. 11062 K(x * x,y) * z = K(x,y * y) * z. [hyper(52,a,11059,a)]. 11063 K(x * x,y) * z = z * K(x,y * y). [para(11061(a,2),5433(a,1,1))]. 11064 (K(x,T(y * y,z)) * u) * K(z,y * y) = (y * y) * (T(T(y * y,z),x) \ u). [hyper(4554,a,11041,a),flip(a)]. 11065 (K(x,y * y) * z) * u = (z * K(x,y * y)) * u. [hyper(52,a,11041,a)]. 11067 K(x * x,T(y,z)) = K(x * x,y). [hyper(3783,a,11042,a)]. 11068 x * (K(y * y,z) * u) = x * (u * K(y * y,z)). [hyper(53,a,11042,a)]. 11069 K(x * x,y / z) = K(x * x,z \ y). [hyper(30,a,5491,a,b,11042,a),flip(a)]. 11071 (K(x * x,y) * (z * u)) / T(z,u * K(x * x,y)) = z \ ((z * u) * K(x * x,y)). [para(11042(a,2),1584(a,1,1))]. 11072 K(x,y * y) * (z * K(y,x * x)) = z. [hyper(4283,a,11063,a)]. 11074 L(x,y,z) * (y * z) = (x * y) * z. [hyper(280,a,101,a(flip),b,11019,a),flip(a)]. 11075 L(x,y,z) = ((x * y) * z) / (y * z). [hyper(112,a,101,a(flip),b,11019,a),flip(a)]. 11076 L(x,y,z) \ ((x * y) * z) = y * z. [hyper(111,a,101,a(flip),b,11019,a)]. 11078 L(x,y,y \ z) * z = (x * y) * (y \ z). [hyper(294,a,11074,a)]. 11079 L(x / y,y,z) = (x * z) / (y * z). [hyper(112,a,138,a(flip),b,11074,a),flip(a)]. 11080 L((x / y) / z,z,y) = x / (z * y). [hyper(112,a,72,a(flip),b,11074,a),flip(a)]. 11081 L(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(111,a,139,a(flip),b,11074,a)]. 11082 R(x,y,z) = L(x,y,z). [hyper(30,a,96,a,b,11074,a)]. 11083 L(x,y,x * L(x \ 1,z,u)) = x. [hyper(30,a,8190,a(flip),b,11074,a),flip(a)]. 11084 L(x,y,x \ L(x,z,u)) = x. [hyper(30,a,7658,a(flip),b,11074,a),flip(a)]. 11085 L(x,y,L(x \ 1,z,u)) = x. [hyper(30,a,7027,a(flip),b,11074,a),flip(a)]. 11086 (x * y) \ ((z * x) * y) = L(T(z,x * y),x,y). [hyper(111,a,11074,a(flip),b,224,a)]. 11087 (x * y) * z != u * (y * z) | L(x,y,z) = u. [para(11074(a,1),39(a,1))]. 11088 ((x * y) * z) / (y * z) != u | L(x,y,z) = u. [para(11074(a,1),287(a,1,1))]. 11089 K(x,(x * y) * z) = K(x,y * z). [para(11074(a,1),3156(a,1,2))]. 11090 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(9384(a,1),11074(a,1,1))]. 11091 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(7873,a,11082,a),flip(a)]. 11093 a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). [hyper(280,a,9411,a,b,11082,a)]. 11094 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(280,a,9384,a(flip),b,11082,a),flip(a)]. 11095 (x / y) * L(y,K(z,u),K(u,z) * x) = L(x,K(u,z),K(z,u) * y). [hyper(58,a,6782,a,b,11082,a)]. 11096 L(x,x \ (x / y),y) = L(x,y,y \ x). [hyper(58,a,1860,a,b,11082,a)]. 11097 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(58,a,6831,a(flip),b,11082,a),flip(a)]. 11098 L(x * y,K(y,z),K(z,y) * u) = u / (K(y,z) * ((x * T(y,z)) \ u)). [hyper(58,a,6347,a(flip),b,11082,a),flip(a)]. 11099 L((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [hyper(58,a,4344,a(flip),b,11082,a),flip(a)]. 11100 (x * y) * R(z,y,x) = x * (y * z). [para(11082(a,2),86(a,1,2))]. 11101 L(x,y,y \ z) \ z = y * ((x * y) \ z). [para(11082(a,1),1160(a,1,1))]. 11102 L(x,y,y \ z) * z != u | (x * y) * (y \ z) = u. [para(11082(a,1),830(a,1,1))]. 11103 T((x * y) * z,(y * z) \ ((x * y) * z)) = T((x * y) * z,L(x,y,z)). [para(11082(a,1),783(a,2,2))]. 11104 L(x,y,z) * (z * y) = (x * y) * T(z,y). [para(11082(a,1),7379(a,1,1))]. 11105 L(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(11082(a,1),7390(a,1,1))]. 11107 R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11082(a,2),9433(a,1))]. 11108 K(R(x,y,z),u) = K(x,L(u,y,z)). [para(11082(a,2),9511(a,1,1))]. 11109 L(T(x,y),z,x \ L(x,u,w)) = T(x,y). [para(11084(a,1),20(a,2,1))]. 11110 L(x,y,a(x,z,z \ 1)) = x. [para(3955(a,1),11084(a,1,3))]. 11111 L(x \ 1,y,L(x,z,u)) = x \ 1. [para(378(a,1),11085(a,1,3,1))]. 11112 (L(x \ 1,y,z) * u) * x != w | L(x \ 1,y,z) * (u * x) = w. [para(11085(a,1),263(a,1,2))]. 11113 K(x,(x \ y) * z) = K(x,y * z). [para(5(a,1),11089(a,1,2,1)),flip(a)]. 11114 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(10333,a,11094,a)]. 11115 (T(K(x,y) * z,x) * u) / (T(z,x) * u) = K(x,L(y,T(z,x),u)). [hyper(58,a,6035,a,b,11094,a)]. 11116 K(x,L(T(T(y,z),z * u),z,u)) = (z * u) \ ((z * K(x,y)) * u). [hyper(58,a,6194,a(flip),b,11094,a),flip(a)]. 11118 K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). [para(11094(a,1),7379(a,1,1))]. 11119 T(x,y) * a(K(x,y),z,u) = x * K(x,L(y,z,u)). [para(11094(a,1),9951(a,2,2))]. 11120 T(x,y \ 1) * a(K(y,x),z,u) = x * K(y,L(x,z,u)). [para(11094(a,1),9960(a,2,2))]. 11122 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(280,a,9511,a,b,11108,a),flip(a)]. 11123 K(x,L(y,z,u)) * ((R(x,z,u) * y) \ w) = (y * R(x,z,u)) \ w. [para(11108(a,1),4261(a,1,1))]. 11124 (L(x,y,z) * u) * (x \ 1) = L(x,y,z) * (u * (x \ 1)). [para(11111(a,1),86(a,1,2))]. 11126 L(x \ 1,x,L(x,y,z) * u) = L(x \ 1,x,u). [para(11111(a,1),2354(a,1,1)),flip(a)]. 11127 K(x,K(y,z * u)) * K(x,y * ((y \ z) * u)) = K(x,((y \ z) * u) * y). [para(11113(a,1),6500(a,1,1,2))]. 11128 K(x,R(L(y,z,u),w,v5)) = K(x,L(L(y,w,v5),z,u)). [para(25(a,1),11114(a,2,2))]. 11129 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(719(a,1),11114(a,1,2)),flip(a)]. 11130 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(272(a,1),11122(a,1,1)),flip(a)]. 11131 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [para(11079(a,1),5509(a,1,1)),flip(a)]. 11132 (x * y) * (z / (y * x)) = x * (y * ((z / x) / y)). [para(11080(a,1),86(a,1,2))]. 11133 (x * y) * (z / (y * x)) != u | x * (y * ((z / x) / y)) = u. [para(11080(a,1),263(a,1,2))]. 11134 L(x * (((y / z) / u) / x),u,z) = x * ((y / (u * z)) / x). [para(11080(a,1),1303(a,2,2,1))]. 11135 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(11080(a,1),8360(a,2,2,2))]. 11137 L(x,x \ (y \ x),x * y) = L(x,y,y \ x). [hyper(6927,a,11096,a)]. 11138 L(x,x \ (y \ x),y * x) = L(x,y,y \ x). [hyper(58,a,6762,a,b,11096,a)]. 11139 T(x,L(x,y,z) * u) = L(T(x,u),w,x \ L(x,v5,v6)). [hyper(280,a,2157,a,b,11109,a)]. 11140 (x / y) * (y * T(z,x)) = (z * y) * (y \ x). [hyper(58,a,6684,a,b,11078,a)]. 11141 x * L(x,y,y \ x) = (x * y) * (y \ x). [hyper(58,a,229,a(flip),b,11078,a)]. 11142 ((x / y) * (y * z)) / z = z \ ((z * y) * (y \ x)). [hyper(111,a,11078,a(flip),b,10917,a(flip)),flip(a)]. 11144 L(x,K(y,z),K(z,y) * u) \ u = K(y,z) * ((x * K(y,z)) \ u). [para(4271(a,1),11101(a,1,1,3))]. 11145 x * (y * K(z,T(u,x * y))) = (K(z,u) * y) * T(x,y). [hyper(4776,a,11104,a)]. 11146 x * (y * T(z,x * y)) = (z * y) * T(x,y). [hyper(1178,a,11104,a)]. 11147 L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [hyper(280,a,3644,a,b,11104,a),flip(a)]. 11148 L(x,y,z) * ((z * y) / x) = ((x * y) * T(z,y)) / x. [para(11104(a,1),1147(a,1,1)),flip(a)]. 11149 K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. [para(10332(a,1),11107(a,1))]. 11150 (x / y) * (y * x) = (x * y) * (y \ x). [hyper(6691,a,11141,a)]. 11151 ((x * y) * (y \ x)) \ (x / y) = (x / y) \ ((x / y) / (y * x)). [para(11150(a,1),304(a,1,1))]. 11152 T(x,y) * T(T(x,y),z) = T(x * T(x,z),y). [para(228(a,1),11017(a,2,1))]. 11153 T(a(x,y,y) * z,u) = a(x,y,y) * T(z,u). [hyper(280,a,9720,a,b,11020,a),flip(a)]. 11154 T(a(x,y,y) \ z,u) * a(x,y,y) = T(z,u). [para(5(a,1),11020(a,1,1)),flip(a)]. 11155 R(x,y,z) != u | L(x,y,z) = u. [para(15(a,2),11088(a,1))]. 11157 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(4770,a,11091,a),flip(a)]. 11158 (x \ y) * ((y \ (x \ y)) \ 1) = L(y,x,x \ y). [hyper(58,a,8885,a(flip),b,11137,a)]. 11159 (a(x,y,z) / u) * (u * x) = (x * u) * (u \ a(x,y,z)). [para(8163(a,1),11140(a,1,2,2))]. 11160 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [para(11157(a,1),10579(a,1,1,2))]. 11161 x * (T(y,x) * K(z * (y * x),u)) = (K((y * x) * z,u) * y) * x. [hyper(9469,a,11090,a)]. 11162 ((x * y) \ 1) * (K(L(z,x,y),u) * 1) = ((K(u,z) * x) * y) \ 1. [para(11090(a,1),3481(a,2,1))]. 11163 L(T(x,y \ 1),z,u) * (z * u) = L(x,z,u) * ((K(y,x) * z) * u). [para(11090(a,1),4184(a,1,2)),flip(a)]. 11164 (x * y) \ ((K(L(z,x,y),u) * (x * y)) * w) = ((K(u,z) * x) * y) \ ((x * y) * w). [para(11090(a,1),7843(a,1,1)),flip(a)]. 11165 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(3652,a,11097,a)]. 11167 L(x \ 1,x,y * (z * x)) = L(x \ 1,x,y * z). [hyper(58,a,10830,a(flip),b,11126,a)]. 11168 L(x \ 1,x,L(x,y,z) \ u) = L(x \ 1,x,u). [para(5(a,1),11126(a,1,3)),flip(a)]. 11169 L(T(x \ 1,y),x,L(x,z,u) * w) = T(L(x \ 1,x,w),y). [para(11126(a,1),20(a,2,1))]. 11171 K(L((x / (y \ x)) / x,x,y \ x),z) = K(y / x,z). [para(460(a,1),11130(a,2,1))]. 11172 K(L(L(x / y,z,u) \ (x / y),L(x / y,z,u),y),w) = K(x / (L(x / y,z,u) * y),w). [para(449(a,1),11130(a,1,1,1))]. 11173 K(L((x / y) / K(z,T(u,y)),K(z,T(u,y)),y),w) = K(x / (y * K(z,u)),w). [para(5433(a,1),11130(a,2,1,2))]. 11174 L(x \ 1,x,y) \ (L(x,z,u) \ (x \ y)) = L(x,z,u) \ y. [para(11168(a,1),1945(a,1,1))]. 11176 T(x \ y,(y * y) \ 1) = T(y / x,y \ 1). [para(512(a,1),11021(a,1,2))]. 11177 T(x / ((x \ 1) * y),x \ 1) = (x * x) * (x \ (x / y)). [hyper(7116,a,11176,a),flip(a)]. 11178 T(T(x * T(y,z),y),y) = T(x,y * y) * T(y,z). [para(6109(a,2),11033(a,1,1))]. 11179 K(x,y) * (K(x,y) * z) = z * (K(x,y) * K(x,y)). [hyper(8992,a,11035,a)]. 11180 (K(x,y * y) * z) * u = (z * K(x * x,y)) * u. [para(11059(a,2),11065(a,2,1,2))]. 11181 a(x,y,K(z,L(u,w,v5))) * (w * v5) != v6 | (a(x,y,K(z,u)) * w) * v5 = v6. [para(11093(a,2),258(a,1,1))]. 11182 T(x,y) * a(K(x,y),z,u) = T(x,L(y,z,u)). [hyper(280,a,2882,a,b,11119,a),flip(a)]. 11183 T(x,y) * a(x,z,K(u,y)) = T(x,L(y,z,u)). [para(10478(a,1),11182(a,1,2))]. 11184 K(x,L(L(y,z,u),w,v5)) = K(x,L(L(y,w,v5),z,u)). [hyper(11149,a,11128,a)]. 11185 K(x,L(L(y,z,u),w,v5)) != v6 | K(x,L(L(y,w,v5),z,u)) = v6. [para(11128(a,1),11149(a,1))]. 11187 L(x \ 1,x,y * (x * z)) = L(x \ 1,x,y * z). [hyper(58,a,6461,a(flip),b,11167,a)]. 11188 T(x * T(y,z),y * y) = T(x,y * y) * T(y,z). [hyper(58,a,11022,a(flip),b,11178,a)]. 11189 x * (T(T(x,y),y) \ z) = z * (K(y,x) * K(y,x)). [hyper(6185,a,11179,a)]. 11190 L(x \ 1,x,(x * y) * z) = L(x \ 1,x,z * y). [hyper(58,a,10751,a,b,11187,a)]. 11191 T(T(x * T(y,z),y * y),x) = T(y,z) * T(x,y * y). [para(11188(a,2),11038(a,1,1))]. 11192 x * (T(T(x,a(y,z,u)),a(y,z,u)) \ w) = w * (a(y,z,K(u,x)) * K(a(y,z,u),x)). [para(9700(a,2),11189(a,2,2,1))]. 11193 L(((x * (K(y,z) * (K(u,w) * v5))) / v5) * K(w,u),K(u,w),v5) = (K(u,w) * v5) / (K(z,y) * (x \ (K(u,w) * v5))). [hyper(280,a,4307,a(flip),b,11099,a),flip(a)]. 11194 K(x,y \ (z * (u * (z \ y)))) * (z * (z \ y)) = (K(x,T(u,z \ y)) * (z \ y)) * T(z,z \ y). [para(824(a,1),11118(a,1,1,2))]. 11195 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(u,1 / u)). [para(581(a,1),11129(a,1,2)),flip(a)]. 11196 T(x,(x \ L(x,y,z)) * u) = L(T(x,u),w,x \ L(x,v5,v6)). [hyper(58,a,1583,a,b,11139,a)]. 11197 K(L(x / y,y,x \ y),z) = K(x / y,z). [para(67(a,1),11171(a,1,1,1,1))]. 11199 K(x / y,L(z,y,x \ y)) = K(x / y,z). [hyper(9517,a,11197,a)]. 11200 K(x / y,L(z,y,x \ y)) != u | K(z,y / x) = u. [para(11199(a,2),3710(a,1))]. 11201 x * T(T(x \ (y * y),y),y) = T(y * y,x * y). [para(898(a,2),11025(a,1,2,1))]. 11202 x * T(x \ (y * y),y * y) = T(y * y,x * y). [para(11022(a,1),11201(a,1,2))]. 11203 T(x * x,y * x) = T(x * x,y). [hyper(1028,a,11202,a),flip(a)]. 11204 T(x * x,x * y) = T(x * x,y). [hyper(11048,a,11203,a)]. 11205 T(T(x * x,y),x * z) = T(T(x * x,z),y). [para(11204(a,1),18(a,1,1)),flip(a)]. 11206 T(T(x * x,y),x \ z) = T(T(x * x,z),y). [para(11204(a,1),10783(a,1,1)),flip(a)]. 11207 x * T((y * y) * K(x,z),z) = T(x,z) * T(y * y,z). [para(4529(a,2),11047(a,1,2))]. 11208 T(x,y \ 1) * a(K(y,x),z,u) = T(x,L(y,z,u) \ 1). [hyper(280,a,9528,a,b,11120,a),flip(a)]. 11209 L((x \ 1) \ y,x,x \ 1) * (z * (((x \ 1) \ y) \ 1)) = ((x * y) * z) * (((x \ 1) \ y) \ 1). [para(7044(a,1),11124(a,1,1,1)),flip(a)]. 11210 K((x * y) \ (x * z),T(u,y)) = K((z * x) / (y * x),u). [para(4(a,1),11131(a,2,1,1,1))]. 11211 K((x * y) \ z,T(u,y)) = K(T(z,x) / (y * x),u). [para(898(a,2),11131(a,2,1,1))]. 11212 K((x * y) \ z,T(u,y)) = K(u,(y * x) / T(z,x)). [hyper(280,a,3573,a(flip),b,11211,a),flip(a)]. 11213 K(((x / y) * z) \ x,T(u,z)) = K(u,(z * (x / y)) / T(x,y \ x)). [para(775(a,1),11212(a,2,2,2))]. 11214 K(L(x,x \ y,z),T(u,x \ y)) = K(u,((x \ y) * z) / T(z * T(y,x),z)). [para(939(a,1),11212(a,1,1))]. 11215 (x * (x / (x * y))) * (y * K(z,T(u,(x * (x / (x * y))) * y))) = (K(z,u) * y) * (x / y). [para(4760(a,1),11145(a,2,2))]. 11216 T((x * (y \ 1)) \ y,y \ 1) = (y * y) * (y \ (y / x)). [para(3550(a,1),11177(a,1,1))]. 11217 T(T(x,y) * z,x * x) = T(x,y) * T(z,x * x). [hyper(1374,a,11191,a)]. 11219 T(x,y) * T(x * x,y) = x * T(x * T(x,y),y). [para(3372(a,1),11207(a,1,2,1)),flip(a)]. 11220 T(x,y \ 1) * a(y,z,K(u,x)) = T(x,L(y,z,u) \ 1). [para(10478(a,1),11208(a,1,2))]. 11221 K((x * y) \ (x * z),T(u,y)) != w | K(u,(y * x) / (z * x)) = w. [para(11210(a,2),3710(a,1))]. 11222 (x * x) * (x \ (x / y)) = x / (y * (x \ 1)). [hyper(3700,a,11216,a),flip(a)]. 11223 T(K(x,y) * z,x \ (y \ 1)) != u | x * (y * ((z / x) / y)) = u. [para(10760(a,2),11133(a,1))]. 11224 x * (T(y,x) * (z * (((u / x) / y) / z))) = (y * x) * (z * ((u / (y * x)) / z)). [para(11134(a,1),6704(a,1,2)),flip(a)]. 11225 T((x * y) * K(z,T(u,y)),x) = K(z,u) * (y * x). [para(11147(a,1),10819(a,1,1))]. 11226 T(x \ ((T(x,y) * z) * K(u,T(w,z))),K(x,y)) = (K(u,w) * (z * T(x,y))) / x. [para(11225(a,1),4625(a,1,1)),flip(a)]. 11227 L(T(x \ 1,y),x,L(x,z,u) * w) = L(T(x \ 1,y),x,w). [hyper(280,a,20,a,b,11169,a),flip(a)]. 11228 a(L(x \ 1,x,y),L(x \ 1,x,y) \ 1,x \ y) = y \ (L(x \ 1,x,y) \ (L(x,x \ 1,y \ 1) \ y)). [para(11174(a,1),9329(a,1,2,2)),flip(a)]. 11230 L(T(x,y),z,x \ L(x,u,w)) = ((x \ L(x,v5,v6)) * y) \ (x * ((x \ L(x,v5,v6)) * y)). [hyper(364,a,11196,a),flip(a)]. 11231 K(x,y) * (K(z,L(x,u,w)) / x) = T(x,L(z,u,w)) \ K(x,y). [hyper(280,a,2488,a(flip),b,10864,a),flip(a)]. 11232 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(5298(a,1),10889(a,1,2))]. 11233 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(87(a,2),10899(a,2,2,2)),flip(a)]. 11234 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(5302(a,1),10899(a,1,1,3))]. 11235 K(x,L(y,z,u \ ((u / w) * L(w,v5,v6)))) = a(w \ L(w,v5,v6),z,K(y,L(x,w,u))) * K(x,y). [para(2403(a,1),10925(a,2,2,3)),flip(a)]. 11236 a(a(x,y,(x * y) \ z) \ 1,u,K(w,L(v5,a(x,y,(x * y) \ z),z))) * K(v5,w) = K(v5,L(w,u,z \ (x * (y * ((x * y) \ z))))). [para(1561(a,1),10925(a,2,2,3))]. 11237 a(x,y,K(z,L(u,w,w \ v5))) * K(u,z) = K(u,L(z,y,L(x,w,v5 / w))). [para(6672(a,1),10925(a,1,1,3,2))]. 11238 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(6873(a,1),10926(a,1,2))]. 11239 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(4(a,1),11238(a,1,2,1))]. 11241 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(169(a,1),11239(a,1,1)),flip(a)]. 11244 K(x,y) * (z \ (y * x)) != u | T(z \ (x * y),K(x,y)) = u. [para(11239(a,1),5406(a,1,2))]. 11245 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(280,a,3372,a(flip),b,11241,a),flip(a)]. 11246 L(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [para(11082(a,1),11245(a,1,1))]. 11247 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(9015,a,11246,a)]. 11248 x * (T(K(y,z) * x,z) \ z) = (x * K(y,z)) \ (z * x). [hyper(58,a,10946,a(flip),b,10970,a),flip(a)]. 11249 x * T((K(y,z) * x) \ z,z) = (x * K(y,z)) \ (z * x). [para(432(a,2),11248(a,1,2))]. 11250 (x * K(y,z)) \ (z * x) = x * T(x \ T(z,y),z). [para(10654(a,1),11249(a,1,2,1)),flip(a)]. 11251 (x * K(y,z)) \ (z * x) = K(z,y) * T(z,x). [hyper(280,a,4911,a(flip),b,11250,a),flip(a)]. 11252 (((x \ 1) * y) * K(z,T(x,y))) \ (x * (y * (x \ 1))) = K(T(x,y),z) * T(T(x,y),(x \ 1) * y). [para(4488(a,1),11251(a,1,2))]. 11253 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(29,a,10979,a,b,10980,a)]. 11255 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(5(a,1),11253(a,1,2)),flip(a)]. 11256 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(5281(a,2),11253(a,1,3))]. 11257 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(5281(a,2),11256(a,2,3))]. 11258 K(x,y) * (K(x,T(z,y)) * K(u,x)) = T(x,u) \ T(T(x,y),z). [hyper(5960,a,11002,a)]. 11259 (x / y) \ ((x / y) / (y * x)) = (y \ x) \ ((x * y) \ (x / y)). [hyper(6021,a,11151,a),flip(a)]. 11260 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(10581,a,11160,a),flip(a)]. 11261 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(1143(a,1),11260(a,1,2,1)),flip(a)]. 11262 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(58,a,9130,a(flip),b,11232,a)]. 11263 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(8417(a,1),11262(a,1,1))]. 11264 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(5298(a,1),11263(a,2,3))]. 11265 T(T(x,y),z) * (x \ K(u,x)) = T(x,u) \ T(T(x,y),z). [hyper(58,a,7297,a(flip),b,11258,a)]. 11266 (x \ y) / (x * y) = (y * x) \ (y / x). [hyper(10976,a,11259,a(flip))]. 11267 T(L(x \ 1,x,y \ x),y \ 1) = (y \ x) \ (x \ (y \ x)). [hyper(5697,a,10916,a)]. 11269 x * (L(x,y,y \ z) \ z) = ((z / (y * x)) * y) * x. [hyper(33,a,2244,a(flip),b,10969,a),flip(a)]. 11270 x \ (y * (L(y,z,z \ x) \ x)) = (y \ ((y * z) * (z \ x))) \ x. [para(11142(a,1),10969(a,2,1))]. 11271 T((x / (y * z)) * y,z) = L(z,y,y \ x) \ x. [hyper(227,a,11269,a)]. 11272 L(x,y,z) * (K(u,x) * (L(x,y,z) \ (L(K(u,x),w,w \ v5) \ v5))) = ((v5 / (w * K(u,x))) * w) * K(u,x). [hyper(58,a,6628,a,b,11269,a)]. 11273 K(x,y) * (L(K(x,y),x \ z,(x \ z) \ u) \ u) = ((u / (x \ (z * K(x,y)))) * (x \ z)) * K(x,y). [para(5022(a,2),11269(a,2,1,1,2))]. 11274 K(x * y,z) * (L(K(x * y,z),x,x \ u) \ u) = ((u / (K(y * x,z) * x)) * x) * K(x * y,z). [para(5495(a,2),11269(a,2,1,1,2))]. 11275 K(x,y) * (L(K(x,y),z \ x,(z \ x) \ u) \ u) = ((u / (z \ T(x,y))) * (z \ x)) * K(x,y). [para(10592(a,1),11269(a,2,1,1,2))]. 11276 ((x / (y * z)) * y) * z = z * (y * ((z * y) \ x)). [para(11101(a,1),11269(a,1,2)),flip(a)]. 11277 T((x / (y * z)) * y,z) = y * ((z * y) \ x). [hyper(280,a,11101,a(flip),b,11271,a),flip(a)]. 11278 x * ((x * x) \ (x * (y * x))) = x * ((L(x,x,y) \ y) * x). [hyper(58,a,9488,a(flip),b,11277,a),flip(a)]. 11279 x * (y * ((x * y) \ z)) != u | ((z / (y * x)) * y) * x = u. [para(11277(a,1),259(a,1,2))]. 11281 ((x / (K(y,z) * (u * K(z,y)))) * K(y,z)) * (u * K(z,y)) = (u * K(z,y)) * (K(y,z) * (u \ x)). [para(4324(a,1),11276(a,2,2,2,1))]. 11282 x * L(x \ (y * x),x,x) = x * ((L(x,x,y) \ y) * x). [para(88(a,2),11278(a,1,2))]. 11283 x * ((L(x,x,y) \ y) * x) != z | L(y,x,x) * x = z. [para(11282(a,1),1331(a,1))]. 11284 ((x * K(y,z)) * (K(z,y) * u)) \ (x * u) = a(u * K(z,y),K(y,z),T(x,u)). [para(11105(a,1),8941(a,1,1))]. 11285 K(x,y * z) * ((R(x,y,z) * (y * z)) \ u) = ((y * z) * R(x,y,z)) \ u. [para(10523(a,1),11123(a,1,1))]. 11286 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(10607(a,1),11135(a,1,2))]. 11287 ((x * y) \ 1) * (K(z,L(u,x,y)) * 1) = ((K(u,z) * x) * y) \ 1. [para(9511(a,1),11162(a,1,2,1))]. 11288 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(58,a,8492,a,b,11247,a)]. 11289 ((x * y) \ 1) * K(z,L(u,x,y)) = ((K(u,z) * x) * y) \ 1. [para(3(a,1),11287(a,1,2))]. 11290 (x * y) \ K(z,L(u,x,y)) = ((K(u,z) * x) * y) \ 1. [hyper(10501,a,11289,a)]. 11291 (x * y) \ K(z,L(u,x,y)) = (y \ 1) * (x \ K(z,u)). [hyper(280,a,10648,a(flip),b,11290,a),flip(a)]. 11292 (x \ 1) * (y \ K(z,y * x)) = (y * x) \ K(z,y * x). [para(10523(a,1),11291(a,1,2)),flip(a)]. 11293 (x \ 1) * (y \ K(z,y * x)) = T((y * x) \ 1,z). [hyper(280,a,3584,a,b,11292,a),flip(a)]. 11294 (x * ((K(y,z) / u) \ 1)) * K(y,z) = K(y,z) \ ((K(y,z) * x) * u). [hyper(58,a,10574,a(flip),b,10502,a)]. 11295 T(x * y,a(z,u,K(w,v5)) * x) / (a(z,u,K(w,v5)) * x) = x \ ((a(v5,u,K(w,z)) * x) * y). [hyper(3826,a,10638,a)]. 11296 (x \ K(y,z)) * (z \ (y \ z)) = (x \ 1) * (z \ (z / y)). [para(3569(a,1),10716(a,1,1,2))]. 11297 ((x \ y) \ 1) * (y \ (y / x)) = x * ((y * x) \ 1). [hyper(58,a,8800,a(flip),b,11296,a),flip(a)]. 11299 K(x,K(y \ 1,z * (u \ 1))) * K(x,(y \ K(w,z / u)) * T(z * (u \ 1),w)) = K(x,(z * (u \ 1)) * (y \ 1)). [para(10718(a,2),6500(a,1,2,2))]. 11300 T(T(x,y * z),z \ (y \ x)) = y * (z * (z \ (y \ x))). [para(898(a,2),10829(a,1,1))]. 11301 T(T(x,y * z),z \ (y \ x)) = x. [hyper(280,a,63,a(flip),b,11300,a),flip(a)]. 11302 T(x,(y \ x) \ z) = T(x,y * z). [hyper(3750,a,11301,a)]. 11304 T(x,(y * z) \ x) != u | T(x,z \ (y \ x)) = u. [para(11301(a,1),3161(a,1,1))]. 11305 T(x,y * (z \ 1)) = T(x,y * (z \ x)). [hyper(10764,a,11302,a),flip(a)]. 11306 K(x,(y \ x) \ z) = x \ T(x,y * z). [hyper(111,a,11302,a(flip),b,2882,a(flip)),flip(a)]. 11307 T(x,y * (z * (y \ x))) = T(x,T(z,y \ x)). [para(17(a,2),11302(a,1,2)),flip(a)]. 11308 T(x,(x / y) * z) = T(x,y \ z). [para(70(a,1),11302(a,1,2,1)),flip(a)]. 11309 T(x,y * (z \ x)) = T(x,y / z). [hyper(10814,a,11305,a),flip(a)]. 11310 T(x * (y \ z),T(z,x / y)) = T(x * (y \ z),z). [para(11309(a,1),770(a,1,2))]. 11311 K(x,(y \ x) \ z) = K(x,y * z). [hyper(280,a,2890,a,b,11306,a),flip(a)]. 11312 K(x,(x / y) * z) = K(x,y \ z). [para(70(a,1),11311(a,1,2,1)),flip(a)]. 11313 K((x / y) * z,x) = K(x,z \ y). [hyper(4861,a,11312,a)]. 11315 a(x,y,K(z,u \ w)) * K(z,x) = K(z,L(x,y,(z / u) * w)). [para(11312(a,1),10840(a,1,1,3))]. 11316 K(x,y \ (z \ x)) = K(z * y,x). [para(67(a,1),11313(a,1,1,1)),flip(a)]. 11317 K(x * (y \ 1),z) = K(z,y * (x \ z)). [hyper(10719,a,11316,a),flip(a)]. 11318 K((x \ y) \ z,y) = K(x * z,y). [hyper(3729,a,11316,a)]. 11319 K(x * ((x \ y) * z),y) = K(z,y). [hyper(3862,a,11318,a),flip(a)]. 11320 K(x,y * ((y \ z) * u)) * K(x,K(u,z)) = K(x,L(u,y \ z,y) * z). [para(11319(a,1),5412(a,1,2,2))]. 11321 K(x,y * (z \ x)) = K(x,y / z). [hyper(10608,a,11317,a),flip(a)]. 11322 K(x * (y \ z),z) = K(z,y / x). [hyper(58,a,3179,a,b,11321,a)]. 11323 K(x,(y * z) * (z \ u)) * K(x,K(u,z / (y * z))) = K(x,(T(y,u) * z) * (z \ u)). [para(11322(a,1),5413(a,1,2,2))]. 11324 T(x,y * (z * (y \ x))) = T(x,T(z,y)). [hyper(280,a,8089,a(flip),b,11307,a),flip(a)]. 11325 x * T(T(y,z) / x,y) = T(y,T(z,x)). [hyper(58,a,10789,a(flip),b,11324,a)]. 11326 T(T(x,T(y,z)) / z,x) = z \ T(x,y). [hyper(111,a,5610,a(flip),b,11325,a),flip(a)]. 11327 T(T((x * y) * (y \ z),T(z,T(x * z,z))) / T(x * z,z),(x * y) * (y \ z)) = a(T(x,z),y,y \ z). [hyper(280,a,2082,a(flip),b,11326,a),flip(a)]. 11328 T(T(x,T(y,z)) / z,x) != z \ u | T(x,y) = u. [para(11326(a,2),42(a,1))]. 11329 T(x,y \ (z \ 1)) = T(x,y \ (z \ x)). [hyper(11304,a,10759,a),flip(a)]. 11330 T(T(T(x,y),z \ (u \ 1)),y \ x) = T(x,z \ (u \ T(x,y))). [para(11329(a,2),970(a,1,1))]. 11331 T((x * y) * (y \ z),T(z,x)) = T((x * y) * (y \ z),z). [para(6(a,1),11310(a,1,2,2))]. 11332 K(x,L(y,z,(x / u) * w)) != v5 | K(x,L(y,z,u \ w)) = v5. [para(11315(a,1),10956(a,1))]. 11333 T(x,y \ (z \ T(x,u))) = T(x,y \ (z \ 1)). [hyper(3161,a,11330,a),flip(a)]. 11335 T(T(x,y),z \ (u \ T(x,w))) = T(T(x,z \ (u \ 1)),y). [para(11333(a,1),18(a,1,1)),flip(a)]. 11336 ((x * y) * (z \ (y * x))) / x = (x * y) / (y \ z). [hyper(58,a,797,a(flip),b,10947,a),flip(a)]. 11337 K(x * (y / z),T(y * (x * (((y / z) * x) \ 1)),x)) = K(x * y,z). [para(3897(a,1),10989(a,1,2,1,2))]. 11338 K(x,y) * (x \ (y * T(z,y * (x \ 1)))) = (z * y) / x. [hyper(280,a,3521,a(flip),b,11018,a),flip(a)]. 11339 K(x,y) * (x \ (y * T(z,y / x))) = (z * y) / x. [para(10731(a,1),11338(a,1,2,2,2))]. 11340 K(x,y) * T(x \ (y * z),y / x) = (z * y) / x. [para(6988(a,2),11339(a,1,2))]. 11341 T(K(x,y) * (x \ (y * z)),y / x) = (z * y) / x. [hyper(58,a,4948,a,b,11340,a)]. 11342 L(x / (y / z),z \ y,z) = (x * z) / y. [hyper(6926,a,11341,a)]. 11343 K(x / (y / z),L(u,z \ y,z)) = K((x * z) / y,u). [para(11342(a,1),9511(a,1,1)),flip(a)]. 11344 K(x / (y / z),L(u,z \ y,z)) != w | K(u,y / (x * z)) = w. [para(11343(a,2),3710(a,1))]. 11345 T(((K(x,y) * z) * K(y,x)) \ ((K(x,y) * z) * u),K(y,x) \ 1) = ((u / K(y,x)) / z) * L(z,K(x,y),K(y,x) * (u / K(y,x))). [hyper(280,a,3535,a,b,11095,a)]. 11346 ((K(x,y) \ z) / u) * L(u,K(y,x),K(x,y) * (K(x,y) \ z)) = ((K(y,x) * u) * K(x,y)) \ ((K(y,x) * u) * z). [hyper(280,a,88,a(flip),b,11095,a),flip(a)]. 11347 ((K((x * y) * z,u) * x) * y) \ ((x * y) * K(z * (x * y),u)) = a(y,T(x,y),K(z * (x * y),u)). [para(11161(a,1),216(a,1,1))]. 11348 L(L(T(x,y \ 1),z,u) \ 1,L(T(x,y \ 1),z,u),z * u) \ (z * u) = L(x,z,u) * ((K(y,x) * z) * u). [hyper(58,a,3986,a,b,11163,a)]. 11349 L(T(x \ 1,y \ 1),x,x \ z) * (x * (x \ z)) = L(x \ 1,x,z) * ((K(y,x \ 1) * x) * (x \ z)). [para(6681(a,1),11163(a,2,1))]. 11350 K(x \ ((x / y) * z),T(u,y)) = K(u,(y * (x / z)) / T(x,z \ x)). [para(693(a,1),11213(a,1,1))]. 11351 K(x,y) \ ((K(x,y) * z) * u) = (z * (u * K(y,x))) * K(x,y). [para(10596(a,1),11294(a,1,1,2)),flip(a)]. 11352 (x * (y * K(z,u))) * K(u,z) = K(z,u) * ((K(u,z) * x) * y). [hyper(4285,a,11351,a),flip(a)]. 11353 (x * (y * K(z,u))) * K(u,z) != w | K(z,u) * ((K(u,z) * x) * y) = w. [para(11351(a,1),4285(a,1))]. 11354 (x * T(y / T(z,u),z)) * K(z,u) = K(u,z) * ((K(z,u) * x) * (z \ y)). [para(4502(a,2),11352(a,1,1,2))]. 11355 K((x / y) * z,x * (z * (((x / y) * z) \ 1))) = K(z * x,y). [hyper(5567,a,11337,a)]. 11356 K((x / y) * z,x * z) = K(z * x,y). [hyper(58,a,3946,a(flip),b,11355,a)]. 11357 K(x,K(y * z,u)) * K(x,((z / u) * y) / (z * y)) = K(x,(z * y) \ ((z / u) * y)). [para(11356(a,1),5904(a,1,1,2))]. 11358 x * T(T(x \ y,a(z,z,u)),y) = T(y,x * a(z,z,u)). [para(898(a,2),10477(a,1,2,1))]. 11359 T(x,y * a(z,z,u)) = y * T(y \ x,x). [para(10462(a,1),11358(a,1,2,1)),flip(a)]. 11360 T(x,y * a(z,z,u)) != w | T(x,y) = w. [para(11359(a,2),1028(a,1))]. 11362 T(x,a(y,y,z) * u) != w | T(x,u) = w. [para(10464(a,2),11360(a,1,2))]. 11363 K(x * y,z) * L(z,y,x) = (x * (y * z)) / (x * y). [hyper(5402,a,10806,a),flip(a)]. 11365 T(L(x,y,z) * ((y * (z / y)) * y),x) = z * (T(y,z) * x). [para(6670(a,1),10826(a,1,1,1))]. 11366 T(L(x,y,z) * (y * ((z / y) * y)),x) = z * (T(y,z) * x). [para(857(a,1),11365(a,1,1,2))]. 11367 T(L(x,y,z) * (y * z),x) = z * (T(y,z) * x). [para(7(a,1),11366(a,1,1,2,2))]. 11368 T((x * y) * z,x) = z * (T(y,z) * x). [para(11074(a,1),11367(a,1,1))]. 11369 x * (T(y,x) * K(z,u * u)) = (K(z,u * u) * y) * x. [hyper(11045,a,11368,a),flip(a)]. 11370 T((x * y) * z,x) = (y * (z / y)) * (y * x). [hyper(280,a,4646,a,b,11368,a),flip(a)]. 11371 L(x,y,z) = (y * z) \ T((x * y) * z,x). [hyper(111,a,11368,a,b,6704,a),flip(a)]. 11372 (x * (T(y,x) * z)) / z = z \ ((z * y) * x). [hyper(112,a,11368,a(flip),b,898,a(flip))]. 11373 x * (T(y \ z,x) * y) = T(z * x,y). [para(5(a,1),11368(a,1,1,1)),flip(a)]. 11374 (x * (T(y,x) * z)) / z != u | z \ ((z * y) * x) = u. [para(11368(a,1),940(a,1,1))]. 11375 T(x,y \ z) * T(y,z) = T(y * x,z). [hyper(58,a,6010,a,b,11373,a)]. 11376 (x * y) \ T((z * x) * y,z) = ((z * x) * y) / (x * y). [hyper(58,a,11075,a(flip),b,11371,a),flip(a)]. 11377 x * ((y / x) * (x * x)) = T((x * x) * y,x). [hyper(280,a,7123,a(flip),b,11370,a)]. 11378 T((x * y) * z,x) = T(z,y \ 1) * (y * x). [para(3515(a,2),11370(a,2,1))]. 11379 L(x,y,z) = ((y * z) / x) \ (x \ ((x * y) * z)). [hyper(111,a,11372,a(flip),b,6710,a),flip(a)]. 11380 (K(x,y * y) * (z * u)) / u = u \ ((u * z) * K(x,y * y)). [para(11036(a,1),11372(a,1,1,2,1))]. 11381 x * (T(y,x \ 1) * (x * x)) = T((x * x) * (x * y),x). [para(3509(a,2),11377(a,1,2,1))]. 11382 x * T((x * x) * y,x) = x * (y * (x * T(x,y))). [para(11377(a,1),7172(a,2,2)),flip(a)]. 11383 T((x * x) * y,x) \ ((y * (x * x)) * z) = K((y / x) * (x * x),x) * z. [para(11377(a,1),7161(a,1,1))]. 11384 (T(x,y \ 1) * z) \ ((T(x,y \ 1) * (z * y)) / y) = ((T(x,y \ 1) * z) * T(y,z)) \ T((z * y) * x,z). [para(11378(a,2),4569(a,1,2)),flip(a)]. 11385 T(((K(x,y) / z) \ 1) * u,z) = T(u,K(y,x) \ 1) * (K(y,x) * z). [para(10596(a,2),11378(a,1,1,1))]. 11386 ((K(x,y * y) * z) / u) \ (u \ ((u * K(x * x,y)) * z)) = L(u,K(x * x,y),z). [para(11062(a,1),11379(a,2,1,1)),flip(a)]. 11387 x * (y * (x * T(x,y))) = ((x * x) * y) * x. [hyper(259,a,11382,a),flip(a)]. 11388 (x * y) * (x * T(x,y)) = ((x * x) * y) * x. [hyper(58,a,7130,a,b,11387,a)]. 11389 T(T((x * y) * z,x),y * z) = (x * y) * z. [hyper(953,a,11376,a)]. 11390 (x * y) \ L(T((z * x) * y,z),u,w) = L((z * x) * y,u,w) / (x * y). [para(11389(a,1),932(a,1,1,1)),flip(a)]. 11391 ((x * y) * K(z,u * u)) / y = y \ ((y * x) * K(z,u * u)). [para(11041(a,1),11380(a,1,1))]. 11392 T(((K(x,y) / z) \ 1) * u,z) = T(u,K(x,y)) * (K(y,x) * z). [para(3418(a,1),11385(a,2,1,2))]. 11393 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(5277(a,1),10901(a,1,1,3))]. 11394 (x * y) * z != u * (L(u,y,x) \ (x * y)) | ((x * (y * u)) / u) \ (x * y) = z. [para(10908(a,1),38(a,1)),flip(a)]. 11395 (T((x * y) * z,x) / x) \ (T(z,y \ 1) * y) = (T(z,y \ 1) * y) \ (x * (L(x,y,T(z,y \ 1)) \ (T(z,y \ 1) * y))). [para(11378(a,2),10909(a,2,1,1)),flip(a)]. 11396 T((x * y) * z,R(T(x,y * z),y,z)) = T((x * y) * z,L(x,y,z)). [para(710(a,1),11103(a,1,2))]. 11397 T((x * y) * z,L(x,y,z)) = (y * z) * R(x,y,z). [hyper(6362,a,11396,a),flip(a)]. 11398 (x * y) * R(x,x,y) != z | T((x * x) * y,x) = z. [para(11397(a,1),9417(a,1))]. 11399 K(x,y * ((y \ z) * u)) * K(x,K(z,u)) = K(x,L(u,y \ z,y) * z). [para(5298(a,1),11320(a,1,2))]. 11401 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(11393,a,11234,a),flip(a)]. 11402 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(70(a,1),11401(a,1,2,2,3)),flip(a)]. 11403 (x \ a(y,z,K(u,w))) * K(v5,L(v6,L(x \ 1,x,a(y,z,K(u,w))),a(w,z,K(y,u)))) = a(w,z,K(y,u)) * (T(L(x \ 1,x,a(y,z,K(u,w))),a(w,z,K(y,u))) * K(v5,v6)). [para(10841(a,1),9402(a,1,1))]. 11404 K(x,T(y,z * z)) * (u * T(x,z * z)) = T(T(T(x,z * z),y) * u,x). [hyper(4734,a,11037,a)]. 11405 K(x,y * ((y \ z) * u)) * K(x,K(y,z * u)) = K(x,((y \ z) * u) * y). [hyper(3660,a,11127,a)]. 11406 K(x,y * z) * (((x * y) * z) \ u) = ((y * z) * R(x,y,z)) \ u. [para(96(a,1),11285(a,1,2,1))]. 11407 T(((x * y) * z) \ (x * (y * z)),K(x,y * z)) = ((y * z) * R(x,y,z)) \ ((y * z) * x). [hyper(11244,a,11406,a)]. 11408 (K(x,y) * ((K(y,x) * z) * (y \ u))) \ (z * (y \ u)) = K(x,y) * K(y,L(x,u,z)). [para(11354(a,1),9795(a,1,1))]. 11409 K(x,(x * x) * y) * (K(y,x * x) * z) = K((y / x) * (x * x),x) * z. [hyper(4550,a,11383,a)]. 11410 T(T(T(x,y * y),z) * u,x) = K(x,z) * (u * T(x,y * y)). [para(11031(a,1),11404(a,1,1)),flip(a)]. 11412 K(x,x * y) * (K(y,x * x) * z) = K((y / x) * (x * x),x) * z. [para(11089(a,1),11409(a,1,1))]. 11413 K((x / y) * (y * y),y) * z = K(y,x) * (K(x,y * y) * z). [para(2989(a,1),11412(a,1,1)),flip(a)]. 11414 K(x,y) * (K(y,x * x) * z) = K((y / x) * x,x) * z. [para(3736(a,1),11413(a,1,1)),flip(a)]. 11415 K(x,y) * (K(y,x * x) * z) = K(y,x) * z. [para(7(a,1),11414(a,2,1,1))]. 11416 K(x,y * y) * (K(y,x) * z) = K(x,y) * z. [hyper(58,a,7300,a,b,11415,a)]. 11417 (x * (K(y,z) * u)) / T(K(z,y),K(y,z * z) * u) = (x * ((K(y,z * z) * u) * K(z,y))) / K(z,y). [para(11415(a,1),3398(a,1,1,2))]. 11418 K(x,y) * (z * K(y,x * x)) = K(y,x) * z. [para(11041(a,1),11415(a,1,2))]. 11419 K(x * x,y) * K(y,x) = K(x,y). [hyper(30,a,5583,a,b,11418,a)]. 11420 K(x,y) * K(x,y) = K(x * x,y). [hyper(4329,a,11419,a)]. 11422 K(x,y) * (K(x,y) * z) = K(x * x,y) * z. [para(11420(a,1),8991(a,1,1)),flip(a)]. 11423 K(x,y * y) * K(x * x,y) = K(x * x,y * y). [para(11059(a,2),11420(a,1,2))]. 11424 x * (a((x * y) * z,y,K(z,x)) * (y * z)) = T(x * (y * z),(x * y) * z). [hyper(58,a,9733,a(flip),b,10633,a)]. 11425 K(x \ (y \ 1),L(T(z,u),y \ 1,u * y)) = K(z,((u * y) * x) / ((u * y) * (y \ 1))). [para(6(a,1),10743(a,1,2,1,2))]. 11426 K(x \ (y \ 1),L(T(z,y \ (y \ u)),y \ 1,u / y)) = K(z,((u / y) * x) / ((u / y) * (y \ 1))). [para(5620(a,1),10743(a,1,2,1))]. 11427 T(x,K(y,L(z,u,w)) \ ((u * w) \ 1)) = T(x,(K(z,y) / T(u,w)) * (w \ 1)). [para(10643(a,1),10766(a,2,2))]. 11428 ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(T(z,y \ (x \ 1)),x,y). [para(10874(a,1),10875(a,1,2))]. 11429 K(x,L(y,z,z \ K(u,w))) * K(w,u) = (K(x,y) / z) * (z * K(w,u)). [para(10596(a,1),10935(a,2,2))]. 11430 (((x * y) / L(z,y,x)) * z) / (x * y) = ((x * (y * z)) / z) \ (x * y). [hyper(280,a,3,a(flip),b,10952,a),flip(a)]. 11432 (((x * (y * z)) / z) \ (x * y)) * (x * y) = u * (u \ (((x * y) / L(z,y,x)) * z)). [para(11430(a,1),146(a,1,1))]. 11433 (x * y) \ (x * (((y / z) * (z * x)) / x)) = y \ (((y / z) * (z * x)) / x). [para(10962(a,1),10963(a,2,2))]. 11434 (x * y) \ (x * (((y / x) / x) * (x * x))) = y \ (((y / x) * (x * x)) / x). [para(7157(a,1),11433(a,1,2,2))]. 11435 (x * y) \ T((x * x) * (y / x),x) = y \ (((y / x) * (x * x)) / x). [para(11377(a,1),11434(a,1,2))]. 11436 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(280,a,3639,a,b,11261,a),flip(a)]. 11437 a(x * K(y,z),K(z,y),T(u,x)) != w | a(u * K(z,y),K(y,z),x) = w. [para(11284(a,1),4363(a,1))]. 11438 x * (a((x * y) * z,y,K(z,x)) * (y * z)) = T(x * (y * z),a(x,y,z)). [hyper(280,a,436,a(flip),b,11424,a),flip(a)]. 11439 x * (a(x * y,y,K(z,x)) * (y * z)) = T(x * (y * z),a(x,y,z)). [para(10375(a,1),11438(a,1,2,1))]. 11440 x * (a(y,y,K(z,x)) * (y * z)) = T(x * (y * z),a(x,y,z)). [para(10756(a,1),11439(a,1,2,1))]. 11441 T(x * (y * z),a(x,y,z)) = x * (1 * (y * z)). [para(10458(a,1),11440(a,1,2,1)),flip(a)]. 11442 T(x * (y * z),a(x,y,z)) = x * (y * z). [para(2(a,1),11441(a,2,2))]. 11444 a(x,y,z) \ ((x * y) * z) = x * (y * z). [hyper(831,a,11442,a)]. 11445 T(x * (y * z),(x * y) * z) = x * (y * z). [hyper(490,a,11442,a)]. 11446 x / (y * (z * ((y * z) \ x))) = a(y,z,(y * z) \ x). [hyper(309,a,11444,a)]. 11447 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(183,a,11444,a),flip(a)]. 11448 a(x,y,z) * (x * (y * z)) = (x * y) * z. [hyper(126,a,11444,a)]. 11450 ((x * y) * z) / (y * (T(x,y) * z)) = a(y,T(x,y),z). [para(101(a,1),11447(a,2,1,1)),flip(a)]. 11452 a(x / (y * z),y,z) * ((x / (y * z)) * (y * z)) = z * (L(z,y,y \ x) \ x). [hyper(280,a,11269,a,b,11448,a),flip(a)]. 11453 (a(x * y,x,y) / (x * y)) * ((x * y) * (x * y)) = (((x * y) * x) * y) / (x * y). [hyper(112,a,11448,a(flip),b,7155,a),flip(a)]. 11454 ((x * y) * z) / L(y * z,x,a(x,y,z)) = a(x,y,z) * x. [hyper(112,a,11448,a(flip),b,86,a)]. 11455 a(x,y / z,z) * (x * y) = (x * (y / z)) * z. [para(7(a,1),11448(a,1,2,2))]. 11457 a(T(x,y \ (z \ 1)),z,y) * ((z * y) * x) = (T(x,y \ (z \ 1)) * z) * y. [para(10762(a,1),11448(a,1,2))]. 11458 T(T(x,(y * (z * u)) \ 1),(y * (z * u)) * a(y,z,u)) \ x = K(x,y * (z * u)) * K((y * z) * u,x). [para(11448(a,1),10984(a,2,2,1))]. 11459 (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). [hyper(112,a,11445,a(flip),b,898,a(flip))]. 11460 (a(x,y / z,z) * (y * x)) * K(x,y) = (x * (y / z)) * z. [hyper(58,a,3145,a,b,11455,a)]. 11461 K(x,K(y * (z / u),u)) * K(x,a(y,z / u,u) * (y * z)) = K(x,u * (y * (z / u))). [para(11455(a,2),6500(a,1,2,2))]. 11462 (K(x * x,y) * (z * u)) / (u * (T(z,u) * K(x,y * y))) = a(u,T(z,u),K(x,y * y)). [para(11063(a,2),11450(a,1,1))]. 11463 ((x * y) * z) / L(y * z,x,a(x,y,z)) = x * a(x,y,z). [hyper(280,a,8164,a(flip),b,11454,a),flip(a)]. 11464 (((x * y) * z) \ (x * (y * z))) \ 1 = a(z \ 1,y \ 1,x \ 1). [para(11459(a,1),2609(a,1,1))]. 11465 (x * (y * z)) / L(z,x * y,(x * y) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) * (x * y). [para(11459(a,1),6685(a,2,1))]. 11466 T(x,K(y,L(z,u,w)) \ ((u * w) \ 1)) = T(x,(K(z,y) / T(u,w)) / w). [hyper(280,a,10731,a(flip),b,11427,a),flip(a)]. 11467 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(280,a,6504,a(flip),b,11436,a),flip(a)]. 11468 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(3321,a,11467,a),flip(a)]. 11469 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(280,a,9158,a(flip),b,11468,a),flip(a)]. 11470 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(3281(a,1),11468(a,2,2,1))]. 11471 a(T(x,y \ (z \ 1)),z,y) * ((z * y) * x) = (z * y) * R(x,z,y). [hyper(280,a,10874,a(flip),b,11457,a),flip(a)]. 11472 L(x \ L(x,y,z),x,K(u,w)) = (x \ 1) * L((x \ 1) \ 1,y,z). [para(10492(a,1),10589(a,1,2,1,1)),flip(a)]. 11474 L(x \ L(x,y,z),x,K(u,w)) = x \ L(x,y,z). [hyper(280,a,1657,a(flip),b,11472,a),flip(a)]. 11477 T(x,(K(y,T(z,u)) * w) \ (T(u,K(y,z)) \ 1)) = T(x,(w \ K(z,y)) * (u \ 1)). [para(10647(a,1),10765(a,2,2))]. 11478 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(5876(a,1),10779(a,1,1)),flip(a)]. 11479 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(280,a,3802,a(flip),b,11478,a),flip(a)]. 11480 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(10778(a,1),11479(a,1,1)),flip(a)]. 11481 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(8495,a,11480,a)]. 11482 T(K(x,K(y,z)) * a(z,u,K(y,w)),K(y,z)) = K(y,T(z,x)) \ K(y,L(z,u,w)). [para(3631(a,2),10884(a,2,1))]. 11483 ((x * (y * z)) / z) \ (z \ (x * (y * z))) = K(z \ (x * y),L(z,y,x)). [para(1307(a,1),10907(a,1,2))]. 11484 K(x \ (y * z),L(x,z,y)) = K(y * (z * x),x). [hyper(4253,a,11483,a),flip(a)]. 11485 K(x * (y * z),z) = K(x * y,L(z,y,x)). [hyper(9435,a,11484,a),flip(a)]. 11486 K(x * y,L(z,y,x)) = K(x * y,z). [hyper(3927,a,11485,a),flip(a)]. 11487 K(x * y,x * (y * z)) = K(x * y,z). [hyper(3021,a,11486,a)]. 11488 K(x * y,z) * L(x * y,y,x) = L(T(x * y,z),y,x). [para(11486(a,1),9526(a,1,1))]. 11489 L(x * y,y,x) * K(x * y,z) = L(T(x * y,z),y,x). [para(11486(a,1),9565(a,1,2))]. 11490 T(T(x,K(y * z,u)),L(u,z,y)) = T(x,(y * (z * u)) / (y * z)). [para(11487(a,1),6975(a,1,1,2))]. 11491 (x * (y * z)) * (u / (L(z,y,x) * (x * y))) = T(u * K(x * y,z),(x * (y * z)) \ 1). [para(11487(a,1),4667(a,1,1,2)),flip(a)]. 11492 K((x * y) * (y \ (x \ y)),z) * L((x * y) * (y \ (x \ y)),y \ (x \ y),x * y) = L(T((x * y) * (y \ (x \ y)),z),y \ (x \ y),y * x). [hyper(280,a,6675,a(flip),b,11488,a),flip(a)]. 11493 K((x / y) * y,z) * L((x / y) * y,y,x / y) = L(T((x / y) * y,z),y,y \ x). [hyper(280,a,6672,a(flip),b,11488,a),flip(a)]. 11494 L(T(x * y,z),y,x) * (x * y) = L(x * y,y,x) * T(x * y,z). [para(11489(a,1),3377(a,1,1))]. 11495 T(T(x,L(y,z,u)),K(y,u * z)) = T(x,(u * (z * y)) / (u * z)). [hyper(5365,a,11490,a)]. 11496 L(x * y,y,x) * T(x * y,z) = (x * y) * L(T(x * y,z),y,x). [hyper(349,a,11494,a),flip(a)]. 11497 L(x * y,y,x) * T(x * y,z) = x * (y * T(x * y,z)). [hyper(280,a,86,a(flip),b,11496,a),flip(a)]. 11498 L(T(x * x,y),T(x,y * y),x) * T(x * T(x,y * y),z) = x * (T(x,y * y) * T(x * T(x,y * y),z)). [para(11055(a,1),11497(a,1,1,1))]. 11499 T(x,y \ 1) / (y * T(x / y,z)) = K(z,T(x * (y \ 1),y \ 1)). [para(17(a,2),11006(a,1,1))]. 11500 T(x,y \ 1) / (y * T(x / y,z)) = K(z,(y \ 1) * x). [hyper(280,a,5453,a(flip),b,11499,a),flip(a)]. 11501 T(x,y \ 1) / (y * T(x / y,z)) = K(z,y \ x). [hyper(280,a,10519,a(flip),b,11500,a),flip(a)]. 11502 T(x,K(y,z / u) \ T(u,z \ 1)) = T(x,T(u,z \ 1) * K(y,z \ u)). [para(11501(a,1),5740(a,1,2,2)),flip(a)]. 11503 (K(x,y * y) * z) * K(u,y * y) = (y * y) * (T(T(y * y,u),x) \ z). [para(11043(a,1),11064(a,1,1,1))]. 11504 K(x,y * y) * (z * K(u,y * y)) = (y * y) * (T(T(y * y,u),x) \ z). [hyper(6840,a,11503,a)]. 11506 T(x,y) * (T(y,x) * (z * (((u / T(x,y)) / y) / z))) = (y * T(x,y)) * (z * ((u / (y * T(x,y))) / z)). [para(770(a,1),11224(a,1,2,1))]. 11507 a(x / (y * z),y,z) * x = z * (L(z,y,y \ x) \ x). [para(7(a,1),11452(a,1,2))]. 11508 a(L(x,y,z) / (u * x),u,x) = L(x,u,u \ L(x,y,z)) \ x. [hyper(2166,a,11507,a),flip(a)]. 11509 T(x,(K(y,T(z,u)) * w) \ (T(u,K(y,z)) \ 1)) = T(x,(w \ K(z,y)) / u). [hyper(280,a,10731,a(flip),b,11477,a),flip(a)]. 11510 T(x,(K(y,T(z,u)) * w) \ T(u \ 1,K(y,z))) = T(x,(w \ K(z,y)) / u). [para(3611(a,2),11509(a,1,2,2))]. 11511 T(K(x,K(y,z)) * a(z,u,K(y,w)),K(y,z)) = K(z,T(y,x)) * K(y,L(z,u,w)). [hyper(280,a,4315,a(flip),b,11482,a),flip(a)]. 11512 ((x * y) / z) \ T((x * (y * z)) / z,u) = L(z,y,x) * K(u,z / (x * (y * z))). [para(3573(a,1),10662(a,2,2))]. 11513 L(T(K(x,y) / z,y),T(y,x),T(y,x) \ 1) = (T(y,x) \ 1) * ((z \ 1) * y). [para(5761(a,1),10717(a,1,1))]. 11514 L(T(K(x,y) / z,y),T(y,x),T(y \ 1,x)) = (T(y,x) \ 1) * ((z \ 1) * y). [para(3611(a,2),11513(a,1,3))]. 11515 L(T(K(x,y) / z,y),y,y \ 1) = (T(y,x) \ 1) * ((z \ 1) * y). [hyper(6390,a,11514,a)]. 11516 (T(x,y) \ 1) * ((z \ 1) * x) = (x \ 1) * ((K(y,x) / z) * x). [hyper(1195,a,11515,a),flip(a)]. 11518 T(x \ 1,y) * ((z \ 1) * x) = (x \ 1) * ((K(y,x) / z) * x). [para(3611(a,2),11516(a,1,1))]. 11519 T(x \ 1,y) * ((z \ 1) * x) = ((z * T(x,y)) \ 1) * x. [hyper(280,a,10645,a(flip),b,11518,a),flip(a)]. 11520 (x * y) \ ((K(z,L(u,x,y)) * (x * y)) * w) = ((K(u,z) * x) * y) \ ((x * y) * w). [para(9511(a,1),11164(a,1,2,1,1))]. 11521 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(11255(a,1),11233(a,2,1))]. 11522 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(280,a,10899,a(flip),b,11521,a),flip(a)]. 11523 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(87(a,1),11522(a,1,2,2))]. 11524 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(6716(a,2),11523(a,1,2,2))]. 11525 T(((x * y) / L(z,y,x)) * z,x * y) = u * (u \ (((x * y) / L(z,y,x)) * z)). [hyper(2349,a,11432,a)]. 11526 T(((x * y) / L(z,y,x)) * z,x * y) = ((x * y) / L(z,y,x)) * z. [hyper(280,a,300,a(flip),b,11525,a),flip(a)]. 11527 (x * y) / (((x * y) / L(z,y,x)) * z) = (((x * y) / L(z,y,x)) * z) \ (x * y). [para(11526(a,1),428(a,1,2))]. 11528 (x * y) / (((x * y) / L(z,y,x)) * z) = (x * y) \ (((x * y) / z) * L(z,y,x)). [hyper(280,a,693,a(flip),b,11527,a),flip(a)]. 11529 (x * y) / (((x * y) / L(z,y,x)) * z) = (x * y) \ ((x * (y * z)) / z). [para(2206(a,1),11528(a,2,2))]. 11530 ((x * (y * z)) / z) / (x * y) = (x * y) \ ((x * (y * z)) / z). [hyper(2347,a,11529,a)]. 11532 (x * y) \ ((x * (y * (K(y,z) * u))) / (K(y,z) * u)) = ((x * (T(y,z) * u)) / (K(y,z) * u)) / (x * y). [para(4019(a,1),11530(a,1,1,1,2)),flip(a)]. 11533 (a(x * y,x,y) / (x * y)) * ((x * y) * (x * y)) = R(x * y,x,y). [hyper(280,a,15,a,b,11453,a),flip(a)]. 11534 ((x * y) * (x * y)) * ((x * y) \ a(x * y,x,y)) = R(x * y,x,y). [hyper(58,a,11159,a(flip),b,11533,a)]. 11535 ((x * y) * (x * y)) * ((x * y) \ a(x * y,x,y)) = L(x * y,x,y). [hyper(280,a,11082,a(flip),b,11534,a),flip(a)]. 11536 ((K(x,y) * z) * u) \ ((z * u) * w) = (z * u) \ (((K(y,x) * z) * u) * w). [para(11090(a,1),11520(a,1,2,1)),flip(a)]. 11537 (x / (y * ((y \ z) * u))) * (L(u,y \ z,y) * z) = x * K(u,z). [para(3156(a,1),10914(a,2,2))]. 11538 L(x,y \ z,y) * K(x,z) = T(L(x,y \ z,y),z). [hyper(58,a,1130,a(flip),b,11537,a),flip(a)]. 11540 L(x,y \ z,y) * K(x,z) = L(T(x,z),y \ z,y). [hyper(280,a,20,a,b,11538,a),flip(a)]. 11542 K(x,(y * ((z / u) \ 1)) * (z * (y \ 1))) = K(x,(y * (z \ 1)) * ((z * u) * (y \ 1))). [hyper(58,a,10613,a(flip),b,10929,a),flip(a)]. 11543 x * (T(T(x,a(y,z,u)),a(y,z,u)) \ w) = w * (a(y,z,K(u,x)) * a(y,z,K(u,x))). [para(9700(a,2),11192(a,2,2,2))]. 11544 (x \ L(x,y,z)) * (x * u) = x * ((x \ L(x,y,z)) * u). [hyper(836,a,11230,a)]. 11545 ((x \ L(x,y,z)) * x) \ (x * ((x \ L(x,y,z)) * u)) = L(u,x,x \ L(x,y,z)). [hyper(111,a,11544,a(flip),b,86,a)]. 11547 L(x,y,z) \ (x * ((x \ L(x,y,z)) * u)) = L(u,x,x \ L(x,y,z)). [para(451(a,1),11545(a,1,1))]. 11548 L(x,y \ L(y,z,u),y) = L(x,y,y \ L(y,z,u)). [hyper(1128,a,11547,a)]. 11549 L(L(x,y,z) \ x,x,x \ L(x,u,w)) = L(x,y,z) \ x. [hyper(8717,a,11548,a),flip(a)]. 11550 L(x,y,y \ L(y,z,z \ 1)) = L(x,a(y,z,z \ 1),y). [para(3955(a,1),11548(a,1,2)),flip(a)]. 11551 L(x,a(y,z,z \ 1),y) = L(x,y,a(y,z,z \ 1)). [para(3955(a,1),11550(a,1,3)),flip(a)]. 11552 L(x,y * z,a(y * z,z,z \ 1)) = L(x,a(y,z,z \ 1),y * z). [para(6179(a,1),11551(a,1,2)),flip(a)]. 11553 L(x,a(y,z,z \ 1),y * z) = L(x,y * z,a(y,z,z \ 1)). [para(6179(a,1),11552(a,1,3)),flip(a)]. 11554 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(8640(a,1),11288(a,1,1))]. 11555 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(5355(a,1),11554(a,1,1,2))]. 11556 K(x,(y * z) * (z \ u)) * K(x,K(y,u)) = K(x,(T(y,u) * z) * (z \ u)). [para(3572(a,1),11323(a,1,2,2))]. 11557 K(x,(y * z) * (z \ u)) * K(x,K(y,u)) = K(x,u * R(y,z,z \ u)). [hyper(280,a,5867,a(flip),b,11556,a),flip(a)]. 11559 K(x,K(y,z * u)) * K(x,((u / y) * z) / (u * z)) = K(x,(u * z) \ ((u / y) * z)). [para(5298(a,1),11357(a,1,1))]. 11560 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(5(a,1),11469(a,1,2,1,2))]. 11561 K(x,y) * L((x / z) * z,z,x / z) = L(T((x / z) * z,y),z,z \ x). [para(7(a,1),11493(a,1,1,1))]. 11562 L(T((x / y) * y,z),y,y \ x) = K(x,z) * L(x,y,x / y). [para(7(a,1),11561(a,1,2,1)),flip(a)]. 11563 L(T((x / y) * y,z),y,y \ x) = K(x,z) * L(x,y,y \ x). [para(6452(a,1),11562(a,2,2))]. 11564 K(x,y) * L(x,z,z \ x) = L(T(x,y),z,z \ x). [para(7(a,1),11563(a,1,1,1)),flip(a)]. 11565 a(L(x,y,z) * (z * y),y,K(x,T(z,z * y))) = K(L(x,y,z) * (z * y),x * (z * y)). [para(3638(a,1),10630(a,1,3))]. 11566 T(L(x,x \ 1,y),x * (y / (x \ 1))) = T(x * y,x) \ (x * (y / (x \ 1))). [para(378(a,1),10878(a,1,1,2)),flip(a)]. 11567 T(L(x,x \ 1,y),x * (y / (x \ 1))) = (y * x) \ (x * (y / (x \ 1))). [para(897(a,1),11566(a,2,1))]. 11568 L(T(x,x * (y / (x \ 1))),x \ 1,y) = (y * x) \ (x * (y / (x \ 1))). [hyper(58,a,20,a,b,11567,a)]. 11569 L(T(x,y / (x \ 1)),x \ 1,y) = (y * x) \ (x * (y / (x \ 1))). [para(435(a,1),11568(a,1,1))]. 11570 (x * y) \ (y * (x / (y \ 1))) = L(T(y,x),y \ 1,x). [para(2227(a,1),11569(a,1,1)),flip(a)]. 11571 (x * y) \ (y * (x / (y \ 1))) = x \ ((y \ 1) \ x). [hyper(280,a,1072,a(flip),b,11570,a),flip(a)]. 11572 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = L(((y \ 1) \ x) / x,z,u) * (x * (((y \ 1) \ x) \ x)). [para(11571(a,2),2425(a,2,2,2,2,1)),flip(a)]. 11573 (x \ 1) * (y * L((y * x) \ (x * (y / (x \ 1))),z,u)) = L(L((x \ 1) \ 1,x \ 1,y),z,u) * ((x \ 1) * y). [para(11571(a,2),7413(a,2,2,2,1)),flip(a)]. 11574 (x * T(T(y,x) * T(y,x),K(z,u))) / T(y,x) = x * L(T(y,x),y,x). [para(173(a,1),11049(a,2,1))]. 11575 (x * T(T(y,x) * T(y,x),K(z,u))) / T(y,x) = L(y,y,x) * x. [hyper(280,a,224,a(flip),b,11574,a),flip(a)]. 11576 (x * T(y * T(T(y,x),x),K(z,u))) / T(y,x) = L(y,y,x) * x. [para(3413(a,1),11575(a,1,1,2,1))]. 11577 (x * (y * T(T(y,x),x))) / T(y,x) = L(y,y,x) * x. [para(397(a,1),11576(a,1,1,2))]. 11578 T((x * y) \ ((x * (y * z)) / z),K(x,y * z)) = ((y * z) * R(x,y,z)) \ ((y * z) * x). [para(2420(a,1),11407(a,1,1))]. 11579 K(x,K(y * z,u)) * K(x,a(y,z / u,u) * (y * z)) = K(x,u * (y * (z / u))). [para(3737(a,1),11461(a,1,1,2))]. 11580 K(x,K(y,z * u)) * K(y,a(z,u / x,x) * (z * u)) = K(y,x * (z * (u / x))). [para(5281(a,1),11579(a,1,1))]. 11581 K(x,K(y,z * u)) * K(y,(z * (u / x)) * x) = K(y,x * (z * (u / x))). [para(11455(a,1),11580(a,1,2,2))]. 11582 (K(x * x,y) * (z * u)) / ((K(x,y * y) * z) * u) = a(u,T(z,u),K(x,y * y)). [para(11369(a,1),11462(a,1,2))]. 11583 (x * (y * z)) * (u / (L(z,y,x) * (x * y))) = T(u * K(x * y,z),(y * z) \ (x \ 1)). [hyper(280,a,10735,a(flip),b,11491,a),flip(a)]. 11584 T(x * K(y * z,u),(z * u) \ (y \ 1)) = (y * (z * u)) * (x / ((u * z) * T(y,z))). [para(11104(a,1),11583(a,1,2,2)),flip(a)]. 11585 (x * (y * z)) * ((u * K(z,x * y)) / ((z * y) * T(x,y))) = T(u,(y * z) \ (x \ 1)). [para(4324(a,1),11584(a,1,1)),flip(a)]. 11586 (K(x,y) * ((K(y,x) * z) * u)) \ (z * u) = a(x,K(y,x) * z,K(u,y)). [para(398(a,1),10480(a,1,2,1))]. 11587 a(x,K(y,x) * z,K(y \ u,y)) = K(x,y) * K(y,L(x,u,z)). [hyper(58,a,11408,a(flip),b,11586,a),flip(a)]. 11588 a(x,K(y,x) * z,K(u,y)) = K(x,y) * K(y,L(x,u,z)). [hyper(58,a,9105,a(flip),b,11587,a)]. 11589 a(x,K(x,y) * z,K(y,u)) = K(y,x) * K(x,L(y,u,z)). [hyper(10792,a,11588,a)]. 11590 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(5869(a,1),10676(a,1,1,1,2))]. 11591 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(4694(a,1),11590(a,1,1,1)),flip(a)]. 11592 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(1811(a,2),11591(a,1,2,2,1))]. 11593 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(70(a,1),11592(a,1,2,2))]. 11595 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10239(a,1),11593(a,1,2))]. 11596 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [hyper(183,a,11595,a(flip))]. 11597 ((x \ 1) * (x * ((x \ 1) \ y))) / ((x \ 1) \ y) = (x * y) * (((x \ 1) \ y) \ 1). [para(380(a,1),10911(a,2,2,2))]. 11599 L((x \ 1) \ y,x,x \ 1) / ((x \ 1) \ y) = (x * y) * (((x \ 1) \ y) \ 1). [para(671(a,1),11597(a,1,1))]. 11600 (x * y) * (((x \ 1) \ y) \ 1) = (x * y) / ((x \ 1) \ y). [para(7044(a,1),11599(a,1,1)),flip(a)]. 11601 (x * y) * (((x \ 1) \ y) \ 1) = ((x \ 1) \ y) \ (x * y). [hyper(280,a,792,a(flip),b,11600,a),flip(a)]. 11602 (x * y) * (((x \ 1) \ y) \ 1) = a(y,x,x \ 1). [hyper(280,a,8705,a(flip),b,11601,a),flip(a)]. 11603 (x * y) * ((y \ 1) / x) = a(y,x,x \ 1). [para(530(a,1),11602(a,1,2))]. 11604 ((x \ 1) * (x * (y / (x \ 1)))) / (y / (x \ 1)) = (y * x) * ((y / (x \ 1)) \ 1). [para(380(a,1),10912(a,2,2,2))]. 11606 ((x \ 1) * (x * (y / (x \ 1)))) / (y / (x \ 1)) = (y * x) * (x \ (y \ 1)). [para(533(a,1),11604(a,2,2))]. 11607 ((x \ 1) * (x * (y / (x \ 1)))) / (y / (x \ 1)) = a(y,x,x \ (y \ 1)). [hyper(280,a,1320,a(flip),b,11606,a),flip(a)]. 11608 L(x / (y \ 1),y,y \ 1) / (x / (y \ 1)) = a(x,y,y \ (x \ 1)). [para(671(a,1),11607(a,1,1))]. 11609 (x * y) / (x / (y \ 1)) = a(x,y,y \ (x \ 1)). [para(7054(a,1),11608(a,1,1))]. 11610 a(x,y,y \ (x \ 1)) = a(x,y,y \ 1). [hyper(8749,a,11609,a),flip(a)]. 11611 a(x,y,y \ 1) != z | (x * y) * (y \ (x \ 1)) = z. [para(11610(a,1),1321(a,1))]. 11612 K(L(L(x / y,z,u) \ (x / y),L(x / y,z,u),y),w) = K(x / (y * L(y \ x,z,u)),w). [para(702(a,1),11172(a,2,1,2))]. 11613 (x * (x / (x * y))) * (y * K(z,T(u,y * (x / y)))) = (K(z,u) * y) * (x / y). [para(4762(a,1),11215(a,1,2,2,2,2))]. 11614 (x * (x / (x * y))) * (y * K(z,T(u,T(x,y)))) = (K(z,u) * y) * (x / y). [para(5614(a,1),11613(a,1,2,2,2))]. 11615 K(L(x / y,z,u) \ (x / y),L(w,L(x / y,z,u),y)) = K(x / (y * L(y \ x,z,u)),w). [hyper(9517,a,11612,a)]. 11616 K(L(x / y,z,u) \ (x / y),L(w,L(x / y,z,u),y)) != v5 | K(w,(y * L(y \ x,z,u)) / x) = v5. [para(11615(a,2),3710(a,1))]. 11617 T((x * y) * z,(x * (y * z)) \ ((x * y) * z)) = ((x * y) * z) * a(x * (y * z),y,K(z,x)). [hyper(1000,a,10632,a)]. 11618 L((x \ 1) \ y,x,x \ 1) * (z * (((x \ 1) \ y) \ 1)) = ((x * y) * z) * ((y \ 1) / x). [para(530(a,1),11209(a,2,2))]. 11619 (x * y) * (z * (((x \ 1) \ y) \ 1)) = ((x * y) * z) * ((y \ 1) / x). [para(7044(a,1),11618(a,1,1))]. 11620 ((x * y) * z) * ((y \ 1) / x) = (x * y) * (z * ((y \ 1) / x)). [para(530(a,1),11619(a,1,2,2)),flip(a)]. 11621 K(x,L(y,z,u \ ((u / w) * L(w,v5,v6)))) = a(x,z,K(y,L(w,v5,v6) \ w)) * K(x,y). [para(10924(a,1),11235(a,2,1))]. 11623 K(x,y) * (K(x,L(y,z \ x,(z \ x) \ u)) \ u) = ((u / (z \ T(x,y))) * (z \ x)) * K(x,y). [para(9384(a,1),11275(a,1,2,1))]. 11624 ((x * y) * z) * a(x * (y * z),y,K(z,x)) = T((x * y) * z,a(x,y,z)). [para(9(a,2),11617(a,1,2)),flip(a)]. 11625 ((x * y) * z) * a(y * z,y,K(z,x)) = T((x * y) * z,a(x,y,z)). [para(10756(a,1),11624(a,1,2))]. 11626 ((x * y) * z) * a(y,y,K(z,x)) = T((x * y) * z,a(x,y,z)). [para(10375(a,1),11625(a,1,2))]. 11627 T((x * y) * z,a(x,y,z)) = ((x * y) * z) * 1. [para(10458(a,1),11626(a,1,2)),flip(a)]. 11628 T((x * y) * z,a(x,y,z)) = (x * y) * z. [hyper(280,a,3,a(flip),b,11627,a),flip(a)]. 11630 T((x * y) * z,a(x,y,z)) != u * z | x * y = u. [para(11628(a,2),39(a,1))]. 11631 ((x * y) * z) * a(x,y,z) = a(x,y,z) * ((x * y) * z). [para(11628(a,1),101(a,1,2)),flip(a)]. 11632 a(x,y,(x * y) \ z) * ((x * y) * ((x * y) \ z)) = z * a(x,y,(x * y) \ z). [hyper(628,a,11631,a),flip(a)]. 11633 a(x,y,(x * y) \ z) * z = z * a(x,y,(x * y) \ z). [hyper(294,a,11632,a)]. 11635 (x * a(y,z,(y * z) \ x)) \ x = x \ (a(y,z,(y * z) \ x) \ x). [para(11633(a,1),479(a,1,1))]. 11636 x \ (x / a(y,z,(y * z) \ x)) = x \ (a(y,z,(y * z) \ x) \ x). [hyper(319,a,11635,a)]. 11637 x \ (a(y,z,(y * z) \ x) \ x) = x \ (y * (z * ((y * z) \ x))). [para(308(a,1),11636(a,1,2)),flip(a)]. 11638 K(x,y) * (K(L(y,z \ x,(z \ x) \ u),x) * u) = ((u / (z \ T(x,y))) * (z \ x)) * K(x,y). [para(4271(a,1),11623(a,1,2))]. 11639 K(x,y) * (K(y,L(x,z \ x,(z \ x) \ u)) * u) = ((u / (z \ T(x,y))) * (z \ x)) * K(x,y). [para(9511(a,1),11638(a,1,2,1))]. 11640 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(379(a,1),10865(a,1,2,2))]. 11642 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(1991(a,1),11640(a,1,2)),flip(a)]. 11643 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(280,a,7538,a(flip),b,11642,a),flip(a)]. 11645 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((T(z,x) \ 1) * z). [para(11643(a,1),9328(a,2,2))]. 11646 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(y,1 / y) * ((T(z,x) \ 1) * z). [hyper(280,a,4271,a(flip),b,11645,a),flip(a)]. 11647 K(x,1 / (K(1 / y,y) \ R(1 / L(z,u,w),L(z,u,w),K(1 / y,y)))) = (T(L(z,u,w),x) \ 1) * L((z \ 1) \ 1,u,w). [hyper(280,a,1764,a(flip),b,11646,a),flip(a)]. 11648 T(x * T(y \ 1,T(z,x)),y) \ (y * (x * (y \ 1))) = K(T(y,x),z) * T(T(y,x),(y \ 1) * x). [para(4951(a,2),11252(a,1,1))]. 11649 ((x / T(y,K(z,u))) * K(z,u)) * (y * K(u,z)) = (y * K(u,z)) * (K(z,u) * (y \ x)). [para(5356(a,1),11281(a,1,1,1,2))]. 11650 T((x / T(y,K(z,u))) * K(z,u),y * K(u,z)) = K(z,u) * (y \ x). [hyper(226,a,11649,a,b,xx)]. 11652 (T(x \ 1,y) * z) \ (x * (z * (x \ 1))) = K(T(x,z),y) * T(T(x,z),(x \ 1) * z). [para(10314(a,1),11648(a,1,1))]. 11653 (T(x \ 1,y) * z) \ (x * (z * (x \ 1))) = K(x,T(y,z)) * T(T(x,z),(x \ 1) * z). [hyper(4734,a,11652,a(flip)),flip(a)]. 11654 (T(x \ 1,y) * z) \ (x * (z * (x \ 1))) = K(x,T(y,z)) * T(T(x,z),x \ z). [para(10723(a,1),11653(a,2,2))]. 11655 (T(x \ 1,y) * z) \ (x * (z * (x \ 1))) = K(x,T(y,z)) * T(T(x,z),z). [para(438(a,1),11654(a,2,2))]. 11656 (T(x \ 1,y) * z) \ (x * (z * (x \ 1))) = K(x,T(y,z)) * T(x,z * z). [para(11022(a,1),11655(a,2,2))]. 11657 L(x,y,z) / (L(x,y,z) * K(u,x / (z * (y * x)))) = K(u,T((z * (y * x)) / x,(z * y) / x)). [para(11512(a,1),11005(a,1,2))]. 11658 K(x,T((y * (z * u)) / u,(y * z) / u)) = K(u / (y * (z * u)),T(x,L(u,z,y))). [hyper(5538,a,11657,a),flip(a)]. 11659 K(x,y) * (K(x,L(y,x \ z,(x \ z) \ u)) \ u) = ((u / (x \ (z * K(x,y)))) * (x \ z)) * K(x,y). [para(9384(a,1),11273(a,1,2,1))]. 11660 K(x * y,z) * (K(x * y,L(z,x,x \ u)) \ u) = ((u / (K(y * x,z) * x)) * x) * K(x * y,z). [para(9384(a,1),11274(a,1,2,1))]. 11661 K(x \ (y \ 1),L(T(z,y \ (y \ u)),y \ 1,y \ u)) = K(z,((u / y) * x) / ((u / y) * (y \ 1))). [para(6677(a,1),11426(a,1,2))]. 11662 (x * (y * z)) / L(z,x * y,L(z,y,x)) = (((x * y) * z) \ (x * (y * z))) * (x * y). [para(13(a,2),11465(a,1,2,3))]. 11663 (((x * y) * z) \ (x * (y * z))) * (x * y) = (x * (y * z)) / z. [para(853(a,1),11662(a,1,2)),flip(a)]. 11664 ((((x / y) * y) * x) \ ((x * y) * (y \ x))) * ((x / y) * y) = ((x / y) * (y * x)) / x. [para(11150(a,1),11663(a,1,1,2))]. 11665 ((x * x) \ ((x * y) * (y \ x))) * ((x / y) * y) = ((x / y) * (y * x)) / x. [para(7(a,1),11664(a,1,1,1,1))]. 11667 a(x,y,y \ x) * ((x / y) * y) = ((x / y) * (y * x)) / x. [para(75(a,1),11665(a,1,1))]. 11668 ((x / y) * (y * x)) / x = a(x,y,y \ x) * x. [para(7(a,1),11667(a,1,2)),flip(a)]. 11669 ((x * y) * (y \ x)) / x = a(x,y,y \ x) * x. [para(11150(a,1),11668(a,1,1))]. 11670 a(x,y,y \ x) * x = R(x,y,y \ x). [hyper(1117,a,11669,a),flip(a)]. 11671 a(x,y,y \ x) * x = L(x,y,y \ x). [hyper(280,a,11082,a(flip),b,11670,a),flip(a)]. 11672 a(x,y,y \ 1) = a(x,y,y \ x). [hyper(30,a,8756,a,b,11671,a)]. 11673 K(x,y) * (K(x,L(y,z,(x \ z) \ u)) \ u) = ((u / (x \ (z * K(x,y)))) * (x \ z)) * K(x,y). [para(9518(a,1),11659(a,1,2,1))]. 11674 K(x,y) * (K(L(y,z,(x \ z) \ u),x) * u) = ((u / (x \ (z * K(x,y)))) * (x \ z)) * K(x,y). [para(4271(a,1),11673(a,1,2))]. 11675 K(x,y) * (K(y,L(x,z,(x \ z) \ u)) * u) = ((u / (x \ (z * K(x,y)))) * (x \ z)) * K(x,y). [para(9511(a,1),11674(a,1,2,1))]. 11676 K(x * y,z) * (K(L(z,x,x \ u),x * y) * u) = ((u / (K(y * x,z) * x)) * x) * K(x * y,z). [para(4271(a,1),11660(a,1,2))]. 11677 K(x * y,z) * (K(z,L(x * y,x,x \ u)) * u) = ((u / (K(y * x,z) * x)) * x) * K(x * y,z). [para(9511(a,1),11676(a,1,2,1))]. 11678 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(5277(a,1),10905(a,2,2))]. 11679 L(x \ 1,x,L(y,z,u)) * (K(y,x \ 1) * L(y,z,u)) = T(x \ L(y,z,u),y \ 1). [para(8437(a,1),10973(a,1,2,1))]. 11680 L(x \ 1,x,L(y,z,u)) * (K(x,y) * L(y,z,u)) = T(x \ L(y,z,u),y \ 1). [para(3566(a,1),11679(a,1,2,1))]. 11682 L(x \ 1,x,y) * ((K(z,x \ 1) * x) * (x \ y)) = L(T(x \ 1,z \ 1),x,y) * (x * (x \ y)). [para(6732(a,1),11349(a,1,1)),flip(a)]. 11683 L(x \ 1,x,y) * ((K(z,x \ 1) * x) * (x \ y)) = L(T(x \ 1,z \ 1),x,y) * y. [hyper(280,a,140,a(flip),b,11682,a),flip(a)]. 11685 L(x \ 1,x,y) * ((K(z,x \ 1) * x) * (x \ y)) = T(x,z \ 1) \ y. [hyper(280,a,9616,a(flip),b,11683,a),flip(a)]. 11686 L(x \ 1,x,y) * ((K(x,z) * x) * (x \ y)) = T(x,z \ 1) \ y. [para(3566(a,1),11685(a,1,2,1,1))]. 11687 L(x \ 1,x,y) * (T(x,z) * (x \ y)) = T(x,z \ 1) \ y. [para(2888(a,2),11686(a,1,2,1))]. 11688 L(x \ 1,x,y) * (K(x,z) * y) = T(x,z \ 1) \ y. [hyper(4024,a,11687,a)]. 11689 T(x \ L(y,z,u),y \ 1) = T(x,y \ 1) \ L(y,z,u). [hyper(58,a,11680,a(flip),b,11688,a)]. 11690 T(L(x,y,z) * u,x \ 1) = L(x,y,z) * T(u,x \ 1). [hyper(4946,a,11689,a),flip(a)]. 11691 T(T(L(x,y,z) * u,x \ 1),T(L(x,y,z),T(u,x \ 1))) = T(u * L(x,y,z),x \ 1). [para(11690(a,2),10985(a,1,1))]. 11692 T(T(L(x,y,z) * u,x \ 1),T(L(x,y,z),T(u,x))) = T(u * L(x,y,z),x \ 1). [para(5608(a,1),11691(a,1,2))]. 11693 T(T(L(x,y,z) * u,x \ 1),L(T(x,u),y,z)) = T(u * L(x,y,z),x \ 1). [para(772(a,1),11692(a,1,2))]. 11694 (x * T(y,x)) * (z * ((u / (x * T(y,x))) / z)) = y * (x * (z * (((u / T(y,x)) / x) / z))). [hyper(4559,a,11506,a),flip(a)]. 11695 (x * y) * (z * ((u / (y * T(x,y))) / z)) = x * (y * (z * (((u / T(x,y)) / y) / z))). [para(101(a,1),11694(a,1,1))]. 11696 x * (y * (z * (((u / T(x,y)) / y) / z))) = (x * y) * (z * ((u / (x * y)) / z)). [para(101(a,1),11695(a,1,2,2,1,2)),flip(a)]. 11697 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(9384(a,1),11678(a,1,1,2))]. 11698 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(58,a,9271,a,b,11697,a)]. 11699 (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(8640(a,1),11698(a,1,1)),flip(a)]. 11700 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(111,a,11699,a,b,11555,a(flip))]. 11702 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(5419(a,2),11700(a,1,2,2))]. 11703 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(5948(a,2),11702(a,1,2))]. 11704 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(5705(a,2),11703(a,1,2,2,2))]. 11705 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(4338(a,2),11704(a,1,2,2))]. 11706 ((x * y) * R(z,x,y)) * (u / (R(z,x,y) * (x * y))) = T(K(x * y,L(z,x,y)) * u,y \ ((z * x) \ 1)). [para(11082(a,1),11001(a,2,1,1,2))]. 11707 a(L(x \ 1,x,y),L(x \ 1,x,y) \ 1,x \ y) = y \ (x * (L(x,x \ 1,y \ 1) \ y)). [para(7180(a,1),11228(a,2,2))]. 11708 a(L(x \ 1,x,y),L(x,x \ 1,y \ 1),x \ y) = y \ (x * (L(x,x \ 1,y \ 1) \ y)). [para(3993(a,2),11707(a,1,2))]. 11709 x \ (y * (L(y,y \ 1,x \ 1) \ x)) = a(y,y \ 1,x). [hyper(58,a,8790,a(flip),b,11708,a),flip(a)]. 11710 L(x,y,z) * (K(u,x) * (L(x,y,z) \ (K(u,L(x,w,w \ v5)) \ v5))) = ((v5 / (w * K(u,x))) * w) * K(u,x). [para(9384(a,1),11272(a,1,2,2,2,1))]. 11711 T(T((x * y) * (y \ z),T(z,x * z)) / T(x * z,z),(x * y) * (y \ z)) = a(T(x,z),y,y \ z). [para(770(a,1),11327(a,1,1,1,2))]. 11712 T(T((x * y) * (y \ z),T(z,x)) / T(x * z,z),(x * y) * (y \ z)) = a(T(x,z),y,y \ z). [para(761(a,1),11711(a,1,1,1,2))]. 11713 T(T((x * y) * (y \ z),z) / T(x * z,z),(x * y) * (y \ z)) = a(T(x,z),y,y \ z). [para(11331(a,1),11712(a,1,1,1))]. 11714 T(T(x,(y * z) \ (u \ 1)),(u * (y * z)) * a(u,y,z)) \ x = K(x,u * (y * z)) * K((u * y) * z,x). [para(10735(a,1),11458(a,1,1,1))]. 11715 ((x * y) * R(z,x,y)) * (u / (R(z,x,y) * (x * y))) = T(K(x * y,z) * u,y \ ((z * x) \ 1)). [para(10701(a,1),11706(a,2,1,1))]. 11716 ((x * y) * R(z,x,y)) * (u / ((z * x) * y)) = T(K(x * y,z) * u,y \ ((z * x) \ 1)). [para(96(a,1),11715(a,1,2,2))]. 11717 L(x,y,z) * (K(u,x) * (L(x,y,z) \ (K(L(x,w,w \ v5),u) * v5))) = ((v5 / (w * K(u,x))) * w) * K(u,x). [para(4271(a,1),11710(a,1,2,2,2))]. 11718 T(T(x,(y * z) \ (u \ 1)),(u * y) * z) \ x = K(x,u * (y * z)) * K((u * y) * z,x). [para(74(a,1),11714(a,1,1,2))]. 11719 T(T(x,(y * z) * u),(z * u) \ (y \ 1)) \ x = K(x,y * (z * u)) * K((y * z) * u,x). [hyper(58,a,142,a,b,11718,a)]. 11720 L(x,y,z) * (K(u,x) * (L(x,y,z) \ (K(x,L(u,w,w \ v5)) * v5))) = ((v5 / (w * K(u,x))) * w) * K(u,x). [para(9511(a,1),11717(a,1,2,2,2,1))]. 11721 T(((T(x,y) * z) * (z \ y)) / u,(x * z) * (z \ y)) = K(y,z / (x * z)) * (u \ ((x * z) * (z \ y))). [para(11322(a,1),10788(a,2,1))]. 11722 T(((T(x,y) * z) * (z \ y)) / u,(x * z) * (z \ y)) = K(x,y) * (u \ ((x * z) * (z \ y))). [para(3572(a,1),11721(a,2,1))]. 11723 T(T((x * y) * (y \ z),z) / u,(x * y) * (y \ z)) = K(x,z) * (u \ ((x * y) * (y \ z))). [para(1995(a,2),11722(a,1,1,1))]. 11725 K(x,y) * (T(x * y,y) \ ((x * z) * (z \ y))) = a(T(x,y),z,z \ y). [hyper(58,a,11713,a(flip),b,11723,a),flip(a)]. 11726 T(x * y,T(x,y)) \ ((y * z) * (z \ x)) = a(T(y,x),z,z \ x). [hyper(58,a,6309,a(flip),b,11725,a)]. 11727 (x * y) \ ((x * z) * (z \ y)) = a(T(x,y),z,z \ y). [para(913(a,1),11726(a,1,1))]. 11728 a(T(x,y),z,z \ y) = a(x,z,z \ y). [hyper(1415,a,11727,a),flip(a)]. 11729 a(T(x,y * z),y,z) = a(x,y,y \ (y * z)). [para(4(a,1),11728(a,1,3))]. 11730 a(x / y,z,z \ y) = a(y \ x,z,z \ y). [para(103(a,1),11728(a,1,1)),flip(a)]. 11731 a(T(x,y * z),y,z) = a(x,y,z). [para(4(a,1),11729(a,2,3))]. 11732 a(x / (y * z),y,z) = a((y * z) \ x,y,z). [para(103(a,1),11731(a,1,1)),flip(a)]. 11733 a(T(x,(y * z) \ 1),y,z) = a(x,y,z). [para(3489(a,1),11731(a,1,1)),flip(a)]. 11734 a(T(x \ (y * z),K(y,z)),z,y) = a((y * z) / x,z,y). [para(5786(a,1),11731(a,1,1))]. 11735 a(T(x,y \ (z \ 1)),z,y) = a(x,z,y). [para(10735(a,1),11733(a,1,1))]. 11736 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(58,a,11428,a,b,11735,a),flip(a)]. 11737 a(x,y,z) * ((y * z) * x) = (y * z) * R(x,y,z). [para(11735(a,1),11471(a,1,1))]. 11738 (((x / y) * (y * z)) / z) \ x = a((y * z) \ x,y,z). [hyper(58,a,2245,a,b,11732,a)]. 11740 a((x * y) \ L(y,z,u),x,y) = L(y,x,x \ L(y,z,u)) \ y. [hyper(58,a,11508,a(flip),b,11732,a),flip(a)]. 11741 x * a((y * z) \ x,y,z) = ((x / (y * z)) * y) * z. [para(11732(a,1),819(a,1,2))]. 11742 a((x * y) / ((y * x) * z),y,x) = a((y * x) \ ((x * y) / z),y,x). [para(4949(a,1),11732(a,1,1))]. 11743 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(126,a,11736,a(flip))]. 11745 a(x,y / z,z) * (y * x) = ((y / z) * z) * R(x,y / z,z). [para(7(a,1),11737(a,1,2,1))]. 11746 R(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(29,a,10547,a(flip),b,11743,a(flip)),flip(a)]. 11747 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(11155,a,11746,a)]. 11748 T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(11746(a,1),11155(a,1))]. 11749 a(x,y,K(z,u)) * u = L(u,y,K(x,z)). [hyper(280,a,10545,a,b,11747,a)]. 11750 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(280,a,10544,a,b,11747,a)]. 11751 a(x,y,K(z,u)) * z = L(z,y,K(u,x)). [hyper(280,a,9667,a,b,11747,a)]. 11752 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(280,a,9666,a,b,11747,a)]. 11753 L(x,y,K(z,x * u)) = T(x,a(u,y,z)). [hyper(280,a,10876,a(flip),b,11747,a),flip(a)]. 11754 L(a(x,x,y),z,K(u,w)) = a(x,x,y). [hyper(280,a,10461,a(flip),b,11747,a),flip(a)]. 11755 L(x \ 1,y,K(z,u)) = T(x,a(u,y,z)) \ 1. [hyper(280,a,3611,a(flip),b,11747,a),flip(a)]. 11756 L(a(x,y,z) * u,y,K(z,x)) = u * a(x,y,z). [hyper(280,a,897,a(flip),b,11747,a),flip(a)]. 11757 L(a(x,y,z) * u,y,K(z,x)) != w | u * a(x,y,z) = w. [para(11747(a,2),1021(a,1))]. 11758 (x / y) * L(y,z,K(u,w)) = x * K(y,a(w,z,u)). [para(11747(a,2),3373(a,1,2))]. 11759 (x * L(y,z,K(u,w))) \ y = T(y,a(w,z,u)) \ (x \ y). [para(11747(a,2),4499(a,1,1,2))]. 11760 L(x * a(y,z,u),z,K(u,y)) \ x = x / (x * a(y,z,u)). [para(11747(a,2),4702(a,1,1))]. 11761 x * L(T(L(y \ 1,z,K(u,w)),v5),y,x) = x / T(T(y,a(w,z,u)),v5). [para(11747(a,2),6527(a,1,2,1,1))]. 11762 T(x * y,a(z,u,x)) = x * L(y,u,K(x,z)). [para(11747(a,2),9677(a,2,2))]. 11763 T(L(x,y,K(z,u)),u) = T(x,L(u,y,z)). [para(11747(a,2),10860(a,1,1))]. 11764 a(x,y,K(z,u)) * (x * w) = L(x,y,K(z,u)) * w. [para(11747(a,2),10548(a,2,1))]. 11765 a(x,y,K(z,u)) * (z \ w) = L(z,y,K(x,u)) \ w. [para(11747(a,2),10551(a,2,1))]. 11766 (x \ y) * a(y,z,K(u,w)) = x \ L(y,z,K(u,w)). [para(11747(a,2),10668(a,2,2))]. 11767 a(x,y,K(z,u)) * (u / w) = L(u,y,K(x,z)) / w. [para(11747(a,2),10777(a,2,1))]. 11768 a(x,y,z \ 1) * L(u,y,K(x,z)) = u * a(x,y,z \ 1). [para(11747(a,2),10757(a,1,2))]. 11769 a(x,y,a(z,u,K(w,v5))) * (z * v6) = L(z,y,K(a(v5,u,w),x)) * v6. [para(11747(a,2),10637(a,2,1))]. 11770 x * (T(L(x,y,K(z,u)),a(u,y,z)) \ w) = w * (a(u,y,K(z,x)) * a(u,y,K(z,x))). [para(11747(a,2),11543(a,1,2,1,1))]. 11771 x \ L(x,y,K(z,u)) = a(z,y,K(u,x)). [hyper(30,a,451,a,b,11749,a)]. 11772 a(x,y,K(K(z,u) * w,v5)) * (w \ K(u,z)) = L(w \ K(u,z),y,K(x,v5)). [para(4314(a,2),11749(a,1,1,3))]. 11773 a(x,y,K(z,u)) * L(u,z,w) = L(L(u,z,w),y,K(x,z)). [para(5162(a,1),11749(a,1,1,3))]. 11774 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(58,a,10532,a,b,11750,a)]. 11775 L(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(11750(a,1),10631(a,1))]. 11776 x * a(y,z,K(u,L(x,w,v5))) = L(x,z,K(y,L(u,w,v5))). [para(10543(a,2),11750(a,1,2))]. 11777 L(x,y,K(z,x * u)) = L(x,y,K(z,u)). [hyper(280,a,11747,a,b,11753,a),flip(a)]. 11778 T(T(x,y \ x),L(y,z,u)) = L(x,z,K(u,y)). [hyper(2881,a,11763,a)]. 11779 L(T(x,y),z,K(u,y)) = T(x,L(y,z,u)). [hyper(58,a,20,a,b,11763,a)]. 11780 x * L(x \ 1,y,K(z,u)) = a(z,y,K(u,x \ 1)). [hyper(58,a,1013,a(flip),b,11771,a)]. 11782 (x \ (K(y,z) \ u)) \ ((K(y,z) * x) \ u) = a(y,x,K(z,x \ (K(y,z) \ u))). [para(269(a,1),11771(a,1,2))]. 11783 T(L(x,y,K(z,u)),a(z,y,u)) = x. [para(11774(a,1),9705(a,1,1))]. 11784 L(L(x,y,K(z,u)),y,K(u,z)) = x. [hyper(58,a,11747,a,b,11783,a)]. 11785 T(T(x,a(y,z,u)),a(u,z,y)) = x. [para(11747(a,1),11783(a,1,1))]. 11786 L(x,y,K(z,u)) != w | L(w,y,K(u,z)) = x. [para(11784(a,1),45(a,1)),flip(a)]. 11787 T(x,a(y,z,u) \ 1) = T(x,a(u,z,y)). [hyper(3568,a,11785,a),flip(a)]. 11788 T(x,a(y,z,u)) * a(u,z,y) = a(u,z,y) * x. [para(11785(a,1),101(a,1,2)),flip(a)]. 11789 L(T(x,L(y,z,u)),z,K(y,u)) = T(x,y). [hyper(36,a,11784,a,b,11779,a)]. 11790 L(T(x,y \ 1),z,K(y,u)) = T(x,L(y \ 1,z,u)). [para(3566(a,1),11779(a,1,3))]. 11792 L(T(x,L(y,z,u)),w,K(u,y)) = T(x,L(L(y,z,u),w,u)). [para(5056(a,1),11779(a,1,3))]. 11793 L(T(x,y * y),z,K(u,y)) = T(T(x,y),L(y,z,u)). [para(11022(a,1),11779(a,1,1))]. 11794 L(T(x,y * y),z,K(u * u,y)) = T(x,L(y * y,z,u)). [para(11059(a,2),11779(a,1,3))]. 11795 (x * (y * (a(z,u,w) \ 1))) / T(x * y,a(w,u,z)) = L(a(z,u,w) \ 1,y,x). [para(11787(a,1),10714(a,2,2)),flip(a)]. 11796 L(x * L(y,z,u),z,K(y,u)) = T(L(y,z,u) * x,y). [para(897(a,1),11789(a,1,1))]. 11797 x * a(y,z,K(x,u)) != w | L(x,z,K(u,y)) = w. [para(9666(a,2),11748(a,1))]. 11799 x * a(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(10544(a,2),11748(a,1))]. 11801 L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. [para(11747(a,2),11755(a,2,1))]. 11802 L(x * y,z,K(x,u)) = x * L(y,z,K(x,u)). [hyper(11748,a,11762,a)]. 11803 T(T(L(x,y,z),u \ L(x,y,z)),L(u,w,v5)) = L(L(x,w,K(v5,u)),y,z). [hyper(280,a,25,a,b,11778,a),flip(a)]. 11804 (x \ 1) * L(y \ 1,z,K(u,w)) = (L(y,z,K(u,w)) * x) \ 1. [para(11801(a,2),512(a,1,2))]. 11805 L(x \ 1,y,K(a(z,u,w),v5)) = L(x,y,a(z,u,K(w,v5))) \ 1. [para(9700(a,2),11801(a,2,1,3))]. 11806 L(x / y,z,K(y,u)) = L(x,z,K(y,u)) / y. [hyper(1316,a,11802,a),flip(a)]. 11807 K(x,L(y,z,L(u,w,K(z,v5)))) * L(z * u,w,K(z,v5)) = (K(x,y) * z) * L(u,w,K(z,v5)). [para(11802(a,2),11090(a,1,2))]. 11808 T(L(x / y,z,K(y,u)),y) = y \ L(x,z,K(y,u)). [para(11806(a,2),103(a,1,1))]. 11809 L(x / (y * z),u,K(y * z,T(z,w))) = L(x,u,K(y,T(z,w))) / (y * z). [para(3181(a,1),11806(a,2,1,3))]. 11810 L((x * y) * R(z,x,y),x,K(y,z)) = ((x * y) * z) * a(z,x,y). [para(11737(a,1),11756(a,1,1))]. 11812 (x / y) * L(y,z,K(u,w)) = x * a(y,z,K(u,w)). [para(10530(a,2),11758(a,2,2))]. 11813 a(x,y,K(z,u)) * (u * w) = L(u,y,K(x,z)) * w. [hyper(10957,a,11764,a)]. 11814 a(x,y,K(z,u)) * (L(u,y,K(z,x)) * w) = u * w. [hyper(10539,a,11764,a)]. 11815 a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. [hyper(10957,a,11765,a)]. 11816 (x / y) \ L(x,z,K(u,w)) = y * a(x,z,K(u,w)). [hyper(673,a,11766,a),flip(a)]. 11817 (x \ y) * a(z,u,K(y,w)) = x \ L(y,u,K(w,z)). [hyper(58,a,10532,a(flip),b,11766,a)]. 11818 x * L(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). [para(3566(a,1),11780(a,2,3))]. 11819 x * L(x \ 1,y,K(a(z,u,w),v5)) = a(z,y,a(x,u,K(w,v5))). [hyper(280,a,10994,a(flip),b,11818,a),flip(a)]. 11820 x \ a(y,z,K(x * u,w)) = u * L(u \ (x \ 1),z,K(y,w)). [hyper(111,a,11818,a(flip),b,1567,a(flip))]. 11821 T(x * y,L(y \ 1,z,u)) = L(y * x,z,K(y,u)). [para(3514(a,1),11790(a,1,1)),flip(a)]. 11822 L(x \ y,z,K(x,u)) = x \ L(y,z,K(x,u)). [hyper(1207,a,11808,a)]. 11823 L((x * y) \ z,u,K(x * y,x)) = (x * y) \ L(z,u,K(y,x)). [para(2908(a,1),11822(a,2,2,3))]. 11824 (x / L(y,z,u)) * L(L(y,w,K(v5,v6)),z,u) = x * a(L(y,z,u),w,K(v5,v6)). [para(25(a,1),11812(a,1,2))]. 11825 x * (L(x,y,K(z,u)) \ w) = a(u,y,K(z,x)) * w. [hyper(294,a,11814,a),flip(a)]. 11826 x * (L(x,y,K(z,u)) \ w) != v5 | a(u,y,K(z,x)) * w = v5. [para(11814(a,1),294(a,1))]. 11827 L(x,y,K(z,u)) \ (x / w) = x \ (L(x,y,K(u,z)) / w). [hyper(111,a,11767,a(flip),b,11825,a),flip(a)]. 11828 x \ (((x / (y * z)) * z) * T(y,z)) = a((z * y) \ x,z,y). [hyper(58,a,4568,a,b,11738,a)]. 11829 a((x * T(y,x)) \ z,x,T(y,x)) = z \ (((z / (y * x)) * x) * T(y,x)). [hyper(58,a,2247,a(flip),b,11738,a),flip(a)]. 11830 (((x / y) * (y * (y \ z))) / (y \ z)) \ x = a(z \ x,y,y \ z). [para(5(a,1),11738(a,2,1,1))]. 11831 (x \ 1) \ (((1 / y) * (y * z)) / z) = (a((y * z) \ 1,y,z) / x) \ 1. [para(11738(a,1),535(a,1,1,1)),flip(a)]. 11832 (((x / y) * (y * K(z,u))) * K(u,z)) \ x = a((y * K(z,u)) \ x,y,K(z,u)). [para(4323(a,1),11738(a,1,1))]. 11833 ((((1 / x) * (x * y)) / y) \ 1) * (z * (((1 / x) * (x * y)) / y)) = (a((x * y) \ 1,x,y) * z) * (((1 / x) * (x * y)) / y). [para(11738(a,1),7024(a,1,1,1)),flip(a)]. 11834 K(x,y / (((1 / z) * (z * u)) / u)) = K(x,y * a((z * u) \ 1,z,u)). [para(11738(a,1),10517(a,1,2,2)),flip(a)]. 11835 x * a((y * z) \ x,y,z) = z * (y * ((z * y) \ x)). [hyper(280,a,11276,a(flip),b,11741,a),flip(a)]. 11836 T(L(x \ (x / y),z,u) * (x * y),x \ (x / y)) = L(x * (y * L(y \ 1,z,u)),z,K(x \ (x / y),u)). [para(1566(a,1),11796(a,1,1)),flip(a)]. 11838 (x * L(y,z,K(u,w))) \ y = L(y,z,K(u,w)) \ (x \ y). [para(11747(a,2),11759(a,2,1))]. 11839 T(T(x,y),L(y,z,u * u)) = T(x,L(y * y,z,u)). [hyper(58,a,11793,a(flip),b,11794,a)]. 11840 L((x * y) * R(z,x,y),x,K(y,z)) \ ((x * y) * z) = ((x * y) * z) / (((x * y) * z) * a(z,x,y)). [para(11743(a,1),11760(a,1,1,1))]. 11841 a(x,y / z,z) * (y * x) = y * R(x,y / z,z). [hyper(280,a,138,a(flip),b,11745,a),flip(a)]. 11843 (x * R(y,x / z,z)) * K(y,x) = (y * (x / z)) * z. [para(11841(a,1),11460(a,1,1))]. 11844 x * (R(y,x / z,z) * K(y,x)) = (y * (x / z)) * z. [hyper(5043,a,11843,a)]. 11845 x * (L(y,x / z,z) * K(y,x)) = (y * (x / z)) * z. [para(11082(a,1),11844(a,1,2,1))]. 11846 x * (L(y,z \ x,z) * K(y,x)) = (y * (x / z)) * z. [para(6716(a,1),11845(a,1,2,1))]. 11847 x * L(T(y,x),z \ x,z) = (y * (x / z)) * z. [para(11540(a,1),11846(a,1,2))]. 11848 L(x,y \ z,y) * z = (x * (z / y)) * y. [hyper(348,a,11847,a)]. 11849 K(x,y * ((y \ z) * u)) * K(x,K(z,u)) = K(x,(u * (z / y)) * y). [para(11848(a,1),11399(a,2,2))]. 11850 L(x \ 1,y,K(a(z,u,w),v5)) != v6 \ 1 | L(x,y,a(z,u,K(w,v5))) = v6. [para(11805(a,2),43(a,1))]. 11851 L(x \ 1,y,a(z,u,K(w,v5))) = L(x,y,a(z,u,K(w,v5))) \ 1. [para(9700(a,2),11805(a,1,3))]. 11852 x * L(x \ 1,y,a(z,u,K(w,v5))) = a(z,y,a(x,u,K(w,v5))). [para(9700(a,2),11819(a,1,2,3))]. 11853 x * (y * L(y \ (x \ 1),z,K(u,w))) != v5 | a(u,z,K(x * y,w)) = v5. [para(11820(a,1),239(a,1,2)),flip(b)]. 11854 (K(x,y) \ (z \ 1)) * (z \ a(x,K(x,y) \ (z \ 1),K(z * K(x,y),y))) = K(x,y) * ((K(x,y) \ (z \ 1)) * T(K(x,y) \ (z \ 1),K(x,y))). [para(11820(a,2),6721(a,1,2))]. 11855 L((x * y) \ z,u,K(y,x)) = (x * y) \ L(z,u,K(y,x)). [hyper(6157,a,11823,a)]. 11856 L((x * y) * R(z,x,y),x,K(y,z)) = (x * y) * R(z,x,y). [hyper(280,a,11743,a(flip),b,11810,a),flip(a)]. 11857 (((x / y) * z) / (y \ z)) \ x = a(z \ x,y,y \ z). [para(5(a,1),11830(a,1,1,1,2))]. 11858 a(x \ (y * z),z,z \ x) = ((y * x) / (z \ x)) \ (y * z). [para(6(a,1),11857(a,1,1,1,1)),flip(a)]. 11860 a(x,x,x \ y) = ((y * y) / (x \ y)) \ (y * x). [para(4(a,1),11858(a,1,1))]. 11861 a(L(x,y,z) \ ((x \ 1) * u),u,u \ L(x,y,z)) = ((x \ L(x,y,z)) / (u \ L(x,y,z))) \ ((x \ 1) * u). [para(1014(a,1),11858(a,2,1,1))]. 11862 a(x,y,a(z,u,K(w,v5))) * (z * v6) = L(z,y,a(v5,u,K(w,x))) * v6. [para(9700(a,2),11769(a,2,1,3))]. 11863 x * L(L(T(y \ 1,z),u,K(w,v5)),y,x) = x / T(T(y,a(v5,u,w)),z). [para(20(a,2),11761(a,1,2,1))]. 11864 T(T(L(x,y,z),u \ 1),L(u,w,v5)) = L(L(x,w,K(v5,u)),y,z). [hyper(4720,a,11803,a)]. 11865 T(L(T(x,y \ 1),z,u),L(y,w,v5)) = L(L(x,w,K(v5,y)),z,u). [para(20(a,2),11864(a,1,1))]. 11866 L(T(T(x,y \ 1),L(y,z,u)),w,v5) = L(L(x,z,K(u,y)),w,v5). [hyper(58,a,20,a,b,11865,a)]. 11867 a((x * T(y,x)) \ z,x,T(y,x)) = a((x * y) \ z,x,y). [hyper(280,a,11828,a(flip),b,11829,a),flip(a)]. 11868 a((x * y) \ z,y,T(x,y)) = a((y * x) \ z,y,x). [para(101(a,1),11867(a,1,1,1))]. 11869 (x \ 1) \ (((1 / y) * (y * z)) / z) = (a(y,y \ 1,z) / x) \ 1. [para(7473(a,1),11831(a,2,1,1))]. 11870 (x \ 1) \ (((1 / y) * (y * z)) / z) = (x \ a(y,y \ 1,z)) \ 1. [para(8733(a,1),11869(a,2,1))]. 11871 (x \ 1) \ (L(y,z,z \ 1) / y) = (x \ a(z,z \ 1,y)) \ 1. [para(624(a,1),11870(a,1,2,1))]. 11872 (x \ 1) \ (y \ L(y,z,z \ 1)) = (x \ a(z,z \ 1,y)) \ 1. [para(445(a,1),11871(a,1,2))]. 11873 (x \ a(y,y \ 1,z)) \ 1 = (x \ 1) \ a(z,y,y \ 1). [para(3955(a,1),11872(a,1,2)),flip(a)]. 11874 K(x,y / (((1 / z) * (z * u)) / u)) = K(x,y * a(z \ 1,z,u)). [para(7474(a,1),11834(a,2,2,2))]. 11875 K(x,a(y,z,z \ 1) \ u) = K(x,u * a(z \ 1,z,y)). [para(8772(a,1),11874(a,1,2))]. 11876 K(x,a(y,z,z \ 1) \ u) = K(x,u * a(z,z \ 1,y)). [para(7063(a,1),11875(a,2,2,2))]. 11877 x * L(L(T(y \ 1,z),u,K(w,v5)),y,x) = x / T(L(y,u,K(w,v5)),z). [para(11747(a,2),11863(a,2,2,1))]. 11878 x * L(L(T(y \ 1,z),u,K(w,v5)),y,x) = x / L(T(y,z),u,K(w,v5)). [para(20(a,2),11877(a,2,2))]. 11879 (x \ (K(y,z) * u)) \ ((K(z,y) * x) \ u) = a(z,x,K(y,x \ (K(z,y) \ u))). [para(4271(a,1),11782(a,1,1,2))]. 11880 (x / L(y,z,u)) * L(L(y,w,K(v5,v6)),z,u) = x * a(y,w,K(v5,L(v6,z,u))). [para(10923(a,1),11824(a,2,2))]. 11881 (x * (y * (a(z,u,w) \ 1))) / L(x * y,u,K(z,w)) = L(a(z,u,w) \ 1,y,x). [para(11747(a,2),11795(a,1,2))]. 11882 x * (L(L(x,y,K(z,u)),y,K(z,u)) \ w) = w * (a(u,y,K(z,x)) * a(u,y,K(z,x))). [para(11747(a,2),11770(a,1,2,1))]. 11883 ((x * y) * z) / (((x * y) * z) * a(z,x,y)) = ((x * y) * R(z,x,y)) \ ((x * y) * z). [para(11856(a,1),11840(a,1,1)),flip(a)]. 11884 ((x * y) * z) / ((x * y) * R(z,x,y)) = ((x * y) * R(z,x,y)) \ ((x * y) * z). [para(11743(a,1),11883(a,1,2))]. 11885 ((x * y) * R(K(z,u * u),x,y)) \ ((x * y) * K(z,u * u)) = (K(z * z,u) * (x * y)) / ((x * y) * R(K(z,u * u),x,y)). [para(11063(a,2),11884(a,1,1)),flip(a)]. 11886 T(L(x \ (x / y),z,u) * (x * y),x \ (x / y)) = L(x * (y * L(y \ 1,z,u)),z,K(u,y)). [para(3583(a,1),11836(a,2,3))]. 11887 T((x * y) * L(x \ (y \ x),z,u),x \ (x / y)) = L(x * (y * L(y \ 1,z,u)),z,K(u,y)). [para(1184(a,1),11886(a,1,1))]. 11889 T((x * y) * L(x \ (y \ x),z,u),y \ 1) = L(x * (y * L(y \ 1,z,u)),z,K(u,y)). [hyper(5697,a,11887,a)]. 11890 L(x * (y * L(y \ 1,z,u)),z,K(u,y)) = (y * L(y \ 1,z,u)) * x. [hyper(7420,a,11889,a),flip(a)]. 11892 L(x * (y * L(y \ 1,z,u)),z,K(u,y)) != w | (y * L(y \ 1,z,u)) * x = w. [para(11889(a,1),7420(a,1))]. 11893 L(K(x,y) * (L(y,z,u) * L(K(x,y) \ 1,w,v5)),w,K(v5,K(x,y))) = (K(x,y) * L(K(x,y) \ 1,w,v5)) * L(y,z,u). [para(6627(a,1),11890(a,1,1))]. 11894 a(L(x,y,z) \ ((x \ 1) * u),u,u \ L(x,y,z)) = ((u \ x) \ 1) \ ((x \ 1) * u). [para(8693(a,1),11861(a,2,1))]. 11896 (x * (y * T(x,y))) \ (y * T(T(x,y) * T(x,y),K(z,u))) = (x * y) \ ((y * (T(x,y) * T(x,y))) / T(x,y)). [para(891(a,1),11046(a,1,1))]. 11897 L(T(L(x,y,z) \ 1,u \ 1),L(T(x,u \ 1),y,z),y * z) \ (y * z) = L(x,y,z) * ((K(u,x) * y) * z). [para(3617(a,2),11348(a,1,1,1))]. 11898 (T(x,y \ 1) * y) \ ((T(x,y \ 1) * (y * y)) / y) = ((y * x) * T(y,y)) \ T((y * y) * x,y). [para(3512(a,1),11384(a,2,1,1))]. 11899 (T(x,y \ 1) * y) \ ((T(x,y \ 1) * (y * y)) / y) = ((y * x) * y) \ T((y * y) * x,y). [para(100(a,1),11898(a,2,1,2))]. 11900 (T(x,y \ 1) * y) \ ((T(x,y \ 1) * (y * y)) / y) = (y * (x * y)) \ T((y * y) * x,y). [para(857(a,1),11899(a,2,1))]. 11901 (x * (x * y)) \ (y * T(T(x,y) * T(x,y),K(z,u))) = (x * y) \ ((y * (T(x,y) * T(x,y))) / T(x,y)). [para(101(a,1),11896(a,1,1,2))]. 11902 (x * (x * y)) \ (y * T(x * T(T(x,y),y),K(z,u))) = (x * y) \ ((y * (T(x,y) * T(x,y))) / T(x,y)). [para(3413(a,1),11901(a,1,2,2,1))]. 11903 (x * y) \ ((y * (T(x,y) * T(x,y))) / T(x,y)) = (x * (x * y)) \ (y * (x * T(T(x,y),y))). [para(397(a,1),11902(a,1,2,2)),flip(a)]. 11904 (x * y) \ ((y * (x * T(T(x,y),y))) / T(x,y)) = (x * (x * y)) \ (y * (x * T(T(x,y),y))). [para(3413(a,1),11903(a,1,2,1,2))]. 11905 (x * (x * y)) \ (y * (x * T(T(x,y),y))) = (x * y) \ (L(x,x,y) * y). [para(11577(a,1),11904(a,1,2)),flip(a)]. 11906 (x * (x * y)) \ (y * (x * T(T(x,y),y))) = y \ (L(x,x,y) * (x \ y)). [hyper(280,a,2589,a(flip),b,11905,a),flip(a)]. 11907 (x * (x * y)) \ (y * (x * T(T(x,y),y))) = y \ ((y / x) * L(x,x,y)). [para(5095(a,1),11906(a,2,2))]. 11908 (x * (x * y)) \ (y * T(x * x,y)) = y \ ((y / x) * L(x,x,y)). [para(11051(a,1),11907(a,1,2,2))]. 11909 (x * (x * y)) \ ((x * x) * y) = y \ ((y / x) * L(x,x,y)). [para(101(a,1),11908(a,1,2))]. 11910 x \ ((x / y) * L(y,y,x)) = a(y,y,x). [hyper(823,a,11909,a),flip(a)]. 11911 (x / y) * L(y,y,x) = x * a(y,y,x). [hyper(126,a,11910,a),flip(a)]. 11912 x * (y * a(x,x,y)) = L(x,x,y) * y. [para(11911(a,1),9432(a,1,2))]. 11913 L(T(L(x,y,z) \ 1,u \ 1),L(x,y,z),y * z) \ (y * z) = L(x,y,z) * ((K(u,x) * y) * z). [para(6468(a,1),11897(a,1,1))]. 11915 T((x * (T(y,x) * z)) \ ((y * x) * 1),u \ 1) \ (y * x) = L(z,y,x) * ((K(u,z) * y) * x). [para(6712(a,1),11913(a,1,1))]. 11916 T((x * (T(y,x) * z)) \ (y * x),u \ 1) \ (y * x) = L(z,y,x) * ((K(u,z) * y) * x). [para(3(a,1),11915(a,1,1,1,2))]. 11917 T((x * (y * z)) \ (x * y),u \ 1) \ (y * x) = L(z,y,x) * ((K(u,z) * y) * x). [para(10945(a,1),11916(a,1,1,1))]. 11918 ((K(x,y) * z) / u) * L(u,K(x,y),K(y,x) * (K(y,x) \ z)) = ((K(x,y) * u) * K(y,x)) \ ((K(x,y) * u) * z). [para(4271(a,1),11346(a,1,1,1))]. 11919 (x \ 1) * (y * L((y * x) \ (x * (y / (x \ 1))),z,u)) = L(L(x,x \ 1,y),z,u) * ((x \ 1) * y). [para(378(a,1),11573(a,2,1,1,1))]. 11920 (x \ 1) * (y * L((y * x) \ (x * (y / (x \ 1))),z,u)) = T(y * (x \ L(T(x,y),z,u)),x). [hyper(280,a,8281,a(flip),b,11919,a),flip(a)]. 11921 T(x * (y \ L(T(y,x),z,u)),y) = (y \ 1) * (x * L(x \ ((y \ 1) \ x),z,u)). [para(11571(a,1),11920(a,1,2,2,1)),flip(a)]. 11922 T(x * (y \ L(T(y,x),z,u)),y) = L(L(y,x,x \ 1),z,u) / ((x \ 1) * y). [hyper(280,a,7597,a(flip),b,11921,a),flip(a)]. 11923 ((K(x,y) * z) * K(y,x)) \ ((K(x,y) * z) * u) = ((K(x,y) * u) / z) * L(z,K(x,y),u). [para(5(a,1),11918(a,1,2,3)),flip(a)]. 11924 ((K(x,y) * z) * K(y,x)) \ ((K(x,y) * z) * u) = (u * (T(K(x,y),u) * z)) / z. [hyper(280,a,6710,a(flip),b,11923,a),flip(a)]. 11925 ((K(x,y) * z) * K(y,x)) \ ((K(x,y) * z) * u) = (u * (K(x,T(y,u)) * z)) / z. [para(3631(a,2),11924(a,2,1,2,1))]. 11926 ((K(x,y) * z) * K(y,x)) \ ((K(x,y) * z) * u) = z / (K(T(y,u),x) * (u \ z)). [hyper(280,a,4307,a(flip),b,11925,a),flip(a)]. 11927 ((K(x,y) * z) * K(y,x)) \ ((K(x,y) * z) * u) = z / (K(y,T(x,u)) * (u \ z)). [para(3638(a,1),11926(a,2,2,1))]. 11928 T(x,K(y,z)) \ ((K(y,z) * x) * u) = x / (K(z,T(y,u)) * (u \ x)). [para(5357(a,1),11927(a,1,1))]. 11929 x / (K(y,T(z,u)) * (u \ x)) = x \ ((x * K(z,y)) * u). [hyper(58,a,5707,a(flip),b,11928,a),flip(a)]. 11930 K(x,K(y \ 1,z / u)) * K(x,(y \ K(w,z / u)) * T(z * (u \ 1),w)) = K(x,(z * (u \ 1)) * (y \ 1)). [para(8806(a,1),11299(a,1,1))]. 11931 K(x,K(y,z / u)) * K(x,(y \ K(w,u / z)) * T(u * (z \ 1),w)) = K(x,(u * (z \ 1)) * (y \ 1)). [para(3605(a,1),11930(a,1,1,2))]. 11932 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(7(a,1),11470(a,1,2,1,2))]. 11933 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(1259(a,2),11705(a,1,2))]. 11934 K(x,T(y * T(z,K(u,w)),K(u,w)) \ z) = K(T(y,K(w,u) * z),x). [para(11933(a,1),3570(a,1,1)),flip(a)]. 11935 x \ T(y * T(x,K(x / z,u)),K(x / z,u)) = T(y,x * K(u,z \ x)). [para(3780(a,1),11933(a,2,2))]. 11936 ((K(x,y) * z) \ 1) \ K(u,z \ T(w * T(z,K(y,x)),K(y,x))) = K(u,w) / ((K(x,y) * z) \ 1). [para(11933(a,2),3779(a,1,2,2))]. 11937 x \ (T(y * T(x,K(z,u)),K(z,u)) * K(x,w)) = T(y,K(u,z) * x) * K(x,w). [para(11933(a,1),5022(a,2,1))]. 11938 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(5355(a,1),11933(a,1,2,1,2))]. 11939 T(x \ K(K(y,z),u),K(z,y) * u) = u \ T((x \ 1) * u,K(y,z)). [para(10580(a,1),11933(a,1,2,1)),flip(a)]. 11940 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(5355(a,1),11938(a,1,2))]. 11941 x \ T(y * T(x,K(z,u * x)),K(u * x,z)) = T(y,x * K(z,x * u)). [para(5492(a,1),11938(a,2,2))]. 11942 K(x,y) * (y \ T(z * T(T(y,x),K(u,w)),K(u,w))) = T(z,K(u,w) * T(y,x)). [hyper(4443,a,11940,a)]. 11943 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(58,a,11933,a(flip),b,11940,a)]. 11944 T(x / (K(y,z) * u),K(z,y) * u) = (K(y,z) * u) \ x. [hyper(499,a,11943,a)]. 11945 T(x * K(y,K(z,u)),K(u,z) * y) = y \ T(x * y,K(z,u)). [hyper(280,a,11008,a(flip),b,11943,a),flip(a)]. 11946 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(111,a,11943,a,b,2882,a(flip))]. 11947 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(3566(a,1),11943(a,1,2,1)),flip(a)]. 11948 T(x,K(y,z) * (K(y,z) * u)) = T(x,u). [para(4268(a,1),11943(a,1,2)),flip(a)]. 11949 T(x,y * (T(T(y,z),z) \ u)) = T(x,u). [para(4931(a,1),11948(a,1,2))]. 11950 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(4(a,1),11949(a,1,2,2)),flip(a)]. 11951 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(5822,a,11950,a),flip(a)]. 11952 T(x,(y * (z / y)) * u) = T(x,T(z,y) * u). [para(912(a,1),11950(a,1,2,1,1)),flip(a)]. 11953 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(2900,a,11946,a)]. 11954 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(11946(a,1),2900(a,1))]. 11955 K(x,(K(y,z) \ (K(y,z) / u)) * (w \ K(y,z))) = K(x,K(z,y) * ((w * (u * K(y,z))) \ K(y,z))). [para(1003(a,2),11953(a,1,2))]. 11956 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [para(3566(a,1),11953(a,1,2,1)),flip(a)]. 11957 K(x,K(y,z) * (K(y,z) * u)) = K(x,u). [para(4268(a,1),11953(a,1,2)),flip(a)]. 11958 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(4276(a,1),11953(a,1,2)),flip(a)]. 11959 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(3802(a,1),11953(a,1,2)),flip(a)]. 11960 K(x,K(y,z) * (K(u,T(y,z)) * w)) = K(x,y * (T(T(y,z),u) \ w)). [para(4396(a,1),11953(a,1,2)),flip(a)]. 11961 K(x,y * (T(T(y,z),z) \ u)) = K(x,u). [para(4931(a,1),11957(a,1,2))]. 11962 K(x,T(T(y,z),z) * u) = K(x,y * u). [para(4(a,1),11961(a,1,2,2)),flip(a)]. 11963 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [para(912(a,1),11962(a,1,2,1,1)),flip(a)]. 11964 K(x,T(y,z \ 1) * u) = K(x,T(y,z) * u). [para(3488(a,1),11962(a,1,2,1,1))]. 11965 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(5363(a,1),11947(a,1,2)),flip(a)]. 11966 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(58,a,11953,a,b,11956,a)]. 11967 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(11956(a,1),8494(a,1,1))]. 11968 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(4379(a,2),11958(a,1,2))]. 11969 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(4516(a,2),11958(a,1,2))]. 11970 K(x,T((y * z) * u,y)) = K(x,T(u,z) * (z * y)). [para(11370(a,2),11963(a,1,2))]. 11971 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(3295(a,1),11966(a,1,2,1)),flip(a)]. 11972 K(x,T(T(y,z),z) \ u) = K(x,y \ u). [para(213(a,1),11969(a,1,2,1)),flip(a)]. 11973 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [para(897(a,1),11972(a,1,2,1,1))]. 11974 K(x,T(y * z,y \ 1) \ u) = K(x,(z * y) \ u). [para(3514(a,1),11972(a,1,2,1,1))]. 11975 K(x,T(y,z * z) \ u) = K(x,y \ u). [para(11022(a,1),11972(a,1,2,1))]. 11976 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [para(917(a,1),11973(a,1,2,1))]. 11977 K(x,T(((y \ 1) * z) \ y,y * y) \ u) = K(x,((y * y) * (y \ (y / z))) \ u). [para(7114(a,1),11973(a,1,2,1,1))]. 11978 K(x,((y \ z) * y) \ u) = K(x,(y * (z / y)) \ u). [para(103(a,1),11976(a,1,2,1,1))]. 11979 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(5781,a,11951,a),flip(a)]. 11980 T(x,y * T(z,u \ 1)) = T(x,y * T(z,u)). [para(3488(a,1),11979(a,1,2,2,1))]. 11981 K(x,T((y * z) * u,y)) = K(x,L(T(u,z) * (z * y),w,w)). [hyper(280,a,10858,a,b,11970,a),flip(a)]. 11982 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [para(2886(a,1),11971(a,1,2,1)),flip(a)]. 11983 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(3802(a,1),11982(a,1,2))]. 11984 K(x,(((y * z) \ 1) * z) \ u) = K(x,(z * ((z * y) \ 1)) \ u). [para(3896(a,1),11974(a,1,2,1)),flip(a)]. 11985 K(x,(y * (z / y)) \ u) \ 1 = K(((y \ z) * y) \ u,x). [para(11978(a,1),3418(a,1,1))]. 11986 K(((x \ y) * x) \ z,u) = K((x * (y / x)) \ z,u). [hyper(3422,a,11985,a),flip(a)]. 11987 K((x * (y / x)) \ z,u) = K(T(y,x) \ z,u). [para(898(a,2),11986(a,1,1,1)),flip(a)]. 11988 K(x,y \ (z * (u / z))) = K(T(u,z) \ y,x). [hyper(3578,a,11987,a)]. 11991 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [hyper(280,a,3570,a(flip),b,11988,a),flip(a)]. 11992 K(x,y \ (z * (u / z))) != w | K(x,y \ T(u,z)) = w. [para(11988(a,2),3578(a,1))]. 11993 K(x,y \ T(z * u,u)) = K(x,y \ (u * z)). [para(6(a,1),11991(a,1,2,2,2)),flip(a)]. 11994 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(3515(a,2),11991(a,1,2,2))]. 11995 K(x,T(y * L(z,u,w),z) \ (z * y)) != v5 | K(x,(y * L(z,u,w)) \ (y * z)) = v5. [para(11993(a,1),8167(a,1))]. 11996 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(3494(a,1),11994(a,1,2,2))]. 11997 K(x,T((y * z) * u,y)) != w | K(x,T(u,z) * (z * y)) = w. [para(11981(a,2),8330(a,1))]. 11998 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(3566(a,1),11965(a,1,2,2,2))]. 11999 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(101(a,1),11998(a,1,2)),flip(a)]. 12000 T(x,y * K(z,u)) = T(x,y * K(u,z)). [para(3571(a,1),11999(a,1,2,2))]. 12001 x / T(x,y * K(z,u)) = K(y * K(u,z),x). [para(12000(a,1),2967(a,2,2)),flip(a)]. 12002 T(x,(y \ z) * K(u,z)) = T(x,y \ T(z,u)). [para(10592(a,1),12000(a,1,2)),flip(a)]. 12003 T(x,y \ T(z,u \ 1)) = T(x,(y \ z) * K(u,z)). [hyper(58,a,11999,a(flip),b,12002,a),flip(a)]. 12004 T(x,y \ T(z,u \ 1)) = T(x,y \ T(z,u)). [hyper(280,a,12002,a(flip),b,12003,a),flip(a)]. 12005 K(x,(((y * z) \ 1) * z) \ u) = K(x,((z * y) * (z \ 1)) * u). [hyper(280,a,10618,a(flip),b,11984,a),flip(a)]. 12006 K(x,(((y * z) \ 1) * z) \ u) = K(x,(z * (y * (z \ 1))) * u). [para(7025(a,1),12005(a,2,2,1))]. 12007 K(x,T(y * T(z,K(u,w)),K(u,w)) \ z) = K(y,T(x,K(w,u) * z)). [hyper(280,a,3638,a(flip),b,11934,a),flip(a)]. 12008 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(280,a,11959,a(flip),b,11983,a),flip(a)]. 12009 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(11481(a,1),12008(a,1,2))]. 12010 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(58,a,11932,a(flip),b,12009,a)]. 12011 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(3292(a,1),12009(a,1,2,2,2)),flip(a)]. 12012 K(x,T(y * T(z,K(u,w)),K(w,u)) \ z) = K(y,T(x,K(u,w) * z)). [para(5355(a,1),12007(a,1,2,1,1,2))]. 12013 x \ T(y * T(x,K(z,u)),K(x / z,u)) = T(y,x * K(u,z \ x)). [para(5716(a,1),11935(a,1,2,1,2))]. 12014 x \ T(y * T(x,K(z,u)),K(u,z / x)) = T(y,x * K(u,z \ x)). [para(3573(a,1),12013(a,1,2,2))]. 12015 x \ T(y * T(x,K(z,u)),K(z * x,u)) = T(y,x * K(u,x * z)). [para(5712(a,1),11941(a,1,2,1,2))]. 12016 x \ T(y * T(x,K(z,u)),K(u,z * x)) = T(y,x * K(u,x * z)). [para(5355(a,1),12015(a,1,2))]. 12017 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9075,a,11967,a),flip(a)]. 12018 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(3792(a,1),12017(a,1,2,1))]. 12019 K(x,((y * y) * (y \ (y / z))) \ u) = K(x,(((y \ 1) * z) \ y) \ u). [hyper(58,a,11975,a(flip),b,11977,a),flip(a)]. 12021 K(x,(y / (z * (y \ 1))) \ u) = K(x,(((y \ 1) * z) \ y) \ u). [para(11222(a,1),12019(a,1,2,1))]. 12022 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(58,a,12018,a(flip),b,12010,a)]. 12023 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(58,a,8560,a(flip),b,12022,a)]. 12024 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(2882(a,2),12023(a,1,2,1))]. 12025 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(770(a,1),12024(a,1,2,1))]. 12026 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(101(a,1),12025(a,1,2,2,1))]. 12027 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(101(a,1),12026(a,1,2,2,2,2))]. 12028 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(5610(a,1),12027(a,2,2))]. 12029 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(11992,a,12028,a)]. 12031 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(4822(a,1),12029(a,1,2,2,2))]. 12032 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(378(a,1),12011(a,2,2,2,2,1))]. 12033 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(5618(a,1),12032(a,1,2))]. 12034 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(6306(a,1),12033(a,1,2)),flip(a)]. 12035 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(280,a,5456,a(flip),b,12034,a),flip(a)]. 12037 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(58,a,11560,a(flip),b,12035,a)]. 12038 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(956(a,1),12037(a,1,2,2,1))]. 12039 ((x \ 1) * K(y,z)) \ K(u,x \ T(w * T(x,K(y,z)),K(y,z))) = K(u,w) / ((K(z,y) * x) \ 1). [para(3427(a,1),11936(a,1,1))]. 12040 K(x,(K(y,z) * (K(z,y) / u)) * (w \ K(z,y))) = K(x,K(y,z) * ((w * (u * K(z,y))) \ K(z,y))). [para(4271(a,1),11955(a,1,2,1))]. 12041 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(929(a,1),12038(a,1,2,1,2))]. 12042 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(956(a,1),12041(a,1,2,2,2,2))]. 12043 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(58,a,11968,a(flip),b,12042,a)]. 12044 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(929(a,1),12043(a,2,2,2))]. 12045 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(11992,a,12044,a)]. 12046 ((x \ 1) * K(y,z)) \ K(u,T(w,K(y,z) * x)) = K(u,w) / ((K(z,y) * x) \ 1). [para(11940(a,1),12039(a,1,2,2))]. 12047 K(x,K(y,z) * ((u * (w * K(z,y))) \ K(z,y))) = K(x,(w \ 1) * (u \ K(z,y))). [para(10498(a,1),12040(a,1,2,1)),flip(a)]. 12049 K(x,K(y,z) * ((u * (w * K(z,y))) \ K(z,y))) != v5 | K(x,w \ (u \ K(z,y))) = v5. [para(12047(a,2),10625(a,1))]. 12050 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(58,a,3211,a(flip),b,12031,a)]. 12051 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(3582(a,1),12050(a,1,2,2,2,2))]. 12052 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(2882(a,2),12051(a,1,2,2,2))]. 12053 K(x,T(y / (z * u),(z * u) \ u)) = K(x,T(z * u,u) \ T(y,T(u,z))). [hyper(4930,a,12052,a),flip(a)]. 12054 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(280,a,11973,a(flip),b,12053,a),flip(a)]. 12055 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(479(a,1),12054(a,1,2,2))]. 12056 K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). [hyper(5662,a,12055,a)]. 12057 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(3033(a,1),12056(a,2,2,1))]. 12058 L(T(x \ 1,x \ (y * z)),x,L(x,z,y) * (x \ (y * z))) = ((y * (z * x)) / x) \ (x \ ((y * (z * x)) / x)). [para(10906(a,1),10910(a,2,2))]. 12059 L(T(x \ 1,x \ (y * z)),x,L(x,z,y) * (x \ (y * z))) = (y * (z * x)) \ (x \ (y * (z * x))). [hyper(280,a,6748,a(flip),b,12058,a),flip(a)]. 12060 L(T(x \ 1,y * z),x,L(x,z,y) * (x \ (y * z))) = (y * (z * x)) \ (x \ (y * (z * x))). [para(2160(a,1),12059(a,1,1))]. 12061 L(T(x \ 1,y * z),x,x \ (y * z)) = (y * (z * x)) \ (x \ (y * (z * x))). [hyper(58,a,11227,a(flip),b,12060,a)]. 12063 (x * (y * z)) \ (z \ (x * (y * z))) = L(T(z \ 1,x * y),z,x * y). [hyper(58,a,6732,a(flip),b,12061,a),flip(a)]. 12064 (x * (y * z)) \ (z \ (x * (y * z))) = (x * y) \ (z \ (x * y)). [hyper(280,a,1064,a(flip),b,12063,a),flip(a)]. 12065 L(K(x,y) * (L(y,z,u) * L(K(y,x),w,v5)),w,K(v5,K(x,y))) = (K(x,y) * L(K(x,y) \ 1,w,v5)) * L(y,z,u). [para(3418(a,1),11893(a,1,1,2,2,1))]. 12066 L(K(x,y) * (L(y,z,u) * K(y,L(x,w,v5))),w,K(v5,K(x,y))) = (K(x,y) * L(K(x,y) \ 1,w,v5)) * L(y,z,u). [para(9384(a,1),12065(a,1,1,2,2))]. 12067 L(K(x,y) * L(T(y,L(x,z,u)),x,w),z,K(u,K(x,y))) = (K(x,y) * L(K(x,y) \ 1,z,u)) * L(y,x,w). [para(9571(a,1),12066(a,1,1,2))]. 12068 (a(x,y,K(z,u)) * (K(x,u) * L(K(u,x),w,v5))) * K(x,u) = K(x,L(u,y,z)) * (K(x,u) * L(K(x,u) \ 1,w,v5)). [para(3418(a,1),10895(a,1,1,2,2,1))]. 12069 (a(x,y,K(z,u)) * (K(x,u) * K(u,L(x,w,v5)))) * K(x,u) = K(x,L(u,y,z)) * (K(x,u) * L(K(x,u) \ 1,w,v5)). [para(9384(a,1),12068(a,1,1,2,2))]. 12070 (T((x * y) * z,x) / x) \ (T(z,y \ 1) * y) = (y * z) \ (x * (L(x,y,T(z,y \ 1)) \ (T(z,y \ 1) * y))). [para(3512(a,1),11395(a,2,1))]. 12071 (T((x * y) * z,x) / x) \ (T(z,y \ 1) * y) = (y * z) \ (x * (L(x,y,z) \ (T(z,y \ 1) * y))). [para(6673(a,1),12070(a,2,2,2,1))]. 12072 (T((x * y) * z,x) / x) \ (T(z,y \ 1) * y) = (y * z) \ (x * (L(x,y,z) \ (y * z))). [para(3512(a,1),12071(a,2,2,2,2))]. 12073 (T((x * x) * y,x) / x) \ (T(y,x \ 1) * x) = (L(x,x,y) * y) \ (x * y). [hyper(280,a,726,a(flip),b,12072,a),flip(a)]. 12074 (x \ ((x * x) * y)) \ (T(y,x \ 1) * x) = (L(x,x,y) * y) \ (x * y). [para(929(a,1),12073(a,1,1))]. 12075 (L(x,x,y) * y) \ (x * y) = ((x * x) * (x \ y)) \ (T(y,x \ 1) * x). [para(7092(a,1),12074(a,1,1)),flip(a)]. 12076 (L(x,x,y) * y) \ (x * y) = ((x * x) * (x \ y)) \ (x * y). [para(3512(a,1),12075(a,2,2))]. 12077 (L(x,x,y) * y) \ (x * y) = (x * x) \ ((x * y) / (x \ y)). [hyper(280,a,6665,a(flip),b,12076,a),flip(a)]. 12078 K(x,1 / (K(1 / y,y) \ (1 / L(z,u,w)))) = (T(L(z,u,w),x) \ 1) * L((z \ 1) \ 1,u,w). [para(457(a,1),11647(a,1,2,2,2))]. 12080 K(x,1 / (K(y,1 / y) * (1 / L(z,u,w)))) = (T(L(z,u,w),x) \ 1) * L((z \ 1) \ 1,u,w). [para(4271(a,1),12078(a,1,2,2))]. 12081 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(9465(a,1),12080(a,1,2,2)),flip(a)]. 12082 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(280,a,10116,a(flip),b,12081,a),flip(a)]. 12083 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(184(a,1),12082(a,2,2))]. 12084 ((((1 / x) * (x * y)) / y) \ 1) * (z * (((1 / x) * (x * y)) / y)) = (a(x,x \ 1,y) * z) * (((1 / x) * (x * y)) / y). [para(7473(a,1),11833(a,2,1,1))]. 12085 ((((1 / x) * (x * y)) / y) \ 1) * (z * (((1 / x) * (x * y)) / y)) = (a(x,x \ 1,y) * z) * (L(y,x,x \ 1) / y). [para(624(a,1),12084(a,2,2,1))]. 12086 ((((1 / x) * (x * y)) / y) \ 1) * (z * (((1 / x) * (x * y)) / y)) = (a(x,x \ 1,y) * z) * (y \ L(y,x,x \ 1)). [para(445(a,1),12085(a,2,2))]. 12087 ((((1 / x) * (x * y)) / y) \ 1) * (z * (((1 / x) * (x * y)) / y)) = (a(x,x \ 1,y) * z) * a(y,x,x \ 1). [para(3955(a,1),12086(a,2,2))]. 12088 ((L(x,y,y \ 1) / x) \ 1) * (z * (((1 / y) * (y * x)) / x)) = (a(y,y \ 1,x) * z) * a(x,y,y \ 1). [para(624(a,1),12087(a,1,1,1,1))]. 12089 ((x \ L(x,y,y \ 1)) \ 1) * (z * (((1 / y) * (y * x)) / x)) = (a(y,y \ 1,x) * z) * a(x,y,y \ 1). [para(445(a,1),12088(a,1,1,1))]. 12090 (a(x,y,y \ 1) \ 1) * (z * (((1 / y) * (y * x)) / x)) = (a(y,y \ 1,x) * z) * a(x,y,y \ 1). [para(3955(a,1),12089(a,1,1,1))]. 12091 a(x,x \ 1,y) * (z * (((1 / x) * (x * y)) / y)) = (a(x,x \ 1,y) * z) * a(y,x,x \ 1). [para(7069(a,1),12090(a,1,1))]. 12092 a(x,x \ 1,y) * (z * (L(y,x,x \ 1) / y)) = (a(x,x \ 1,y) * z) * a(y,x,x \ 1). [para(624(a,1),12091(a,1,2,2,1))]. 12093 a(x,x \ 1,y) * (z * (y \ L(y,x,x \ 1))) = (a(x,x \ 1,y) * z) * a(y,x,x \ 1). [para(445(a,1),12092(a,1,2,2))]. 12094 (a(x,x \ 1,y) * z) * a(y,x,x \ 1) = a(x,x \ 1,y) * (z * a(y,x,x \ 1)). [para(3955(a,1),12093(a,1,2,2)),flip(a)]. 12095 (a(x,x \ 1,y) * z) * a(y,x,x \ 1) = L(z,a(y,x,x \ 1),a(x,x \ 1,y)). [hyper(280,a,10260,a(flip),b,12094,a),flip(a)]. 12096 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = L(x \ (x / (y \ 1)),z,u) * (x * (((y \ 1) \ x) \ x)). [para(935(a,1),11572(a,2,1,1))]. 12097 ((x * y) * R(K(z,u * u),x,y)) \ ((x * y) * K(z,u * u)) = (K(z * z,u) * (x * y)) / ((K(z,u * u) * x) * y). [para(11054(a,1),11885(a,2,2))]. 12098 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = L(x \ (x / (y \ 1)),z,u) * (x * T(y \ 1,x)). [para(411(a,2),12096(a,2,2,2))]. 12099 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = L(x \ (x / (y \ 1)),z,u) * ((y \ 1) * x). [para(101(a,1),12098(a,2,2))]. 12100 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = (y \ 1) * (x * L(x \ ((y \ 1) \ x),z,u)). [hyper(280,a,7414,a(flip),b,12099,a),flip(a)]. 12101 x * (((y \ 1) \ x) \ (x * L((x * y) \ (y * (x / (y \ 1))),z,u))) = L(L(y,x,x \ 1),z,u) / ((x \ 1) * y). [hyper(280,a,7597,a(flip),b,12100,a),flip(a)]. 12102 x * (((y \ 1) \ x) \ (x * L(x \ ((y \ 1) \ x),z,u))) = L(L(y,x,x \ 1),z,u) / ((x \ 1) * y). [para(11571(a,1),12101(a,1,2,2,2,1))]. 12103 x * (T(y \ 1,x) * L(T((y \ 1) \ 1,x),z,u)) = L(L(y,x,x \ 1),z,u) / ((x \ 1) * y). [para(3623(a,1),12102(a,1,2))]. 12104 L(L(x,y,y \ 1),z,u) / ((y \ 1) * x) = y * (T(x \ 1,y) * L(T(x,y),z,u)). [para(378(a,1),12103(a,1,2,2,1,1)),flip(a)]. 12105 L(L(x,y,y \ 1),z,u) / ((y \ 1) * x) = y * (T(x,y) \ L(T(x,y),z,u)). [para(9619(a,1),12104(a,2,2))]. 12106 T(x * (y \ L(T(y,x),z,u)),y) = x * (T(y,x) \ L(T(y,x),z,u)). [hyper(58,a,11922,a,b,12105,a)]. 12107 L(L((x \ 1) \ a(y,z,K(u,w)),v5,v6),L(x \ 1,x,K(u,y)),K(u,y)) = L((K(u,y) / x) \ K(u,L(y,z,w)),v5,v6). [para(10492(a,1),10852(a,1,1,1,1))]. 12109 ((x / K(y,z)) / u) * L(u,K(z,y),K(y,z) * (x / K(y,z))) = T(T(u,K(z,y)) \ ((K(z,y) * u) * x),K(y,z) \ 1). [para(5357(a,1),11345(a,1,1,1)),flip(a)]. 12110 ((x / K(y,z)) / u) * L(u,K(z,y),K(y,z) * (x / K(y,z))) = T(u \ ((u * K(z,y)) * x),K(y,z) \ 1). [para(5707(a,1),12109(a,2,1))]. 12111 ((x / K(y,z)) / u) * L(u,K(z,y),K(y,z) * (x / K(y,z))) = T(u \ ((u * K(z,y)) * x),K(z,y)). [hyper(280,a,3429,a(flip),b,12110,a),flip(a)]. 12112 ((x * K(y,z)) / u) * L(u,K(y,z),K(z,y) * (x / K(z,y))) = T(u \ ((u * K(y,z)) * x),K(y,z)). [para(4323(a,1),12111(a,1,1,1))]. 12113 ((x * K(y,z)) / u) * L(u,K(y,z),T(x,K(z,y))) = T(u \ ((u * K(y,z)) * x),K(y,z)). [para(5374(a,1),12112(a,1,2,3))]. 12114 T(x * L(y \ L(y,z,u),y,T(x,(y \ L(y,z,u)) \ 1)),(y \ L(y,z,u)) \ 1) = (T(x,L(y,z,u) \ y) / y) * L(y,z,u). [para(1263(a,1),10986(a,2,1,1,2))]. 12115 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(1182(a,1),12057(a,2,2,2,2))]. 12116 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(280,a,11996,a(flip),b,12115,a),flip(a)]. 12117 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [para(3582(a,1),12116(a,2,2,1,2))]. 12118 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(2882(a,2),12117(a,2,2,1))]. 12119 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(280,a,12045,a(flip),b,12118,a),flip(a)]. 12120 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(5(a,1),12119(a,1,2,1,2))]. 12121 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(423(a,1),12120(a,1,2,2))]. 12122 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(897(a,1),12121(a,1,2,2)),flip(a)]. 12123 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(6(a,1),12122(a,1,2,1)),flip(a)]. 12124 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(70(a,1),12122(a,1,2,2)),flip(a)]. 12125 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(6(a,1),12123(a,1,2,1)),flip(a)]. 12126 K(T(x,y \ z),u) = K(x,T(u,y * z)). [hyper(3983,a,12125,a)]. 12127 x \ T(x,T(y,z * u)) = K(x,T(y,z \ u)). [hyper(280,a,2890,a(flip),b,12125,a)]. 12128 K(L(x,x \ y,z),T(u,x * y)) = K(u,((x \ y) * z) / T(z * T(y,x),z)). [hyper(58,a,11214,a(flip),b,12125,a),flip(a)]. 12129 K(x,L(T(y,z * u),w,v5)) = K(x,T(L(y,w,v5),z \ u)). [para(20(a,2),12125(a,2,2)),flip(a)]. 12132 K(x,T(y,L(z,u,w) * (z \ v5))) = K(x,T(y,z * (L(z,u,w) * v5))). [para(1914(a,1),12125(a,1,2,2))]. 12133 K(x * (y \ z),T(u,y * z)) != w | K((y \ z) * x,u) = w. [para(12125(a,1),5563(a,1))]. 12134 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(12125(a,1),5662(a,1))]. 12135 K((x \ y) * z,T(u,y * x)) != w | K(z * (x \ y),u) = w. [para(12125(a,1),5670(a,1))]. 12136 K(x,T(y \ ((z \ 1) * u),z * u)) != w | K(x,((z \ 1) * u) / y) = w. [para(12125(a,1),10737(a,1))]. 12137 K(((x \ 1) * y) * z,T(u,x * y)) = K(z * ((x \ 1) * y),u). [para(10732(a,1),12126(a,1,1)),flip(a)]. 12138 K(x,T(y,z \ u)) != w | K(x,T(y,z * u)) = w. [para(12127(a,1),2900(a,1))]. 12139 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(373(a,1),12124(a,1,2,2))]. 12140 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(12134,a,12139,a)]. 12141 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(12140(a,1),7714(a,1,1))]. 12142 K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,z * u),w,v5)). [para(20(a,2),12129(a,2,2)),flip(a)]. 12143 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(7493,a,12141,a)]. 12144 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(5425,a,12143,a)]. 12145 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(5424,a,12143,a)]. 12146 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(5391,a,12143,a)]. 12147 K(x,K(y,z)) * u = u * K(z,K(x,y)). [para(12143(a,1),3793(a,1,2)),flip(a)]. 12148 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(12143(a,2),5324(a,1))]. 12150 K(x,K(y,z)) * K(x,T(y,u)) = K(x,T(T(y,u),z)). [para(12144(a,1),5262(a,1,1))]. 12151 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(5461(a,1),12144(a,1,2))]. 12152 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(5462(a,1),12144(a,1,2))]. 12153 K(x,K(y,z)) * (K(x,T(y,u)) * w) = K(x,T(T(y,u),z)) * w. [para(12144(a,1),5266(a,1,1))]. 12154 K(x,K(y,z)) * (K(x,T(y,u)) * w) != v5 | K(x,T(T(y,u),z)) * w = v5. [para(12144(a,1),5823(a,1,1))]. 12158 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(3508(a,1),12145(a,1,2,2)),flip(a)]. 12159 K(x,T(K(y,z),u)) = K(x,K(z,y)). [para(3631(a,1),12145(a,1,2))]. 12160 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [para(3798(a,1),12145(a,1,2)),flip(a)]. 12163 T(K(x,K(y,z)),u) = K(x,K(y,z)). [hyper(58,a,3658,a(flip),b,12146,a)]. 12164 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(12146(a,1),3793(a,1,2)),flip(a)]. 12167 K(x,K(y,z)) * K(x,y / T(z,u)) = K(x,T(z,u) \ y). [para(12146(a,1),5904(a,1,1))]. 12169 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,L(y,u,w))). [para(9510(a,2),12159(a,1,2,1))]. 12171 T(x,K(y,K(z,u))) = x. [hyper(49,a,12163,a)]. 12173 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [para(12163(a,1),11010(a,1,2)),flip(a)]. 12174 T(x * K(y,K(z,u)),w) = K(y,K(z,u)) * T(x,w). [para(12163(a,1),11375(a,1,1)),flip(a)]. 12175 K(x,T(y,K(z,u))) = K(x,y). [hyper(6964,a,12171,a)]. 12176 T(x,T(y,K(z,u))) = T(x,y). [hyper(5806,a,12171,a)]. 12177 T(x,K(y,z) / u) = T(x,u \ K(y,z)). [hyper(58,a,6969,a(flip),b,12171,a),flip(a)]. 12178 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(58,a,5784,a(flip),b,12171,a)]. 12179 x * (K(y,K(z,u)) * w) = x * (w * K(y,K(z,u))). [para(12171(a,1),914(a,1,2))]. 12180 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(12171(a,1),5781(a,1,1))]. 12182 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(10084,a,12175,a),flip(a)]. 12183 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(5660,a,12175,a),flip(a)]. 12184 T(K(x,y),K(z,u)) = K(x,y). [hyper(5648,a,12175,a)]. 12185 K(K(x,y) * z,u) = K(z * K(x,y),u). [hyper(5567,a,12175,a),flip(a)]. 12186 K(T(x,K(y,z)),u) = K(x,u). [hyper(5550,a,12175,a),flip(a)]. 12191 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(12175(a,1),3647(a,1,2))]. 12193 K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. [para(12175(a,1),3648(a,1,2))]. 12194 K(x,y) * (K(z,u) * K(y,x)) = K(z,u). [para(12175(a,1),4280(a,1,2,2))]. 12195 K(x,y / K(z,u)) = K(x,K(u,z) * y). [para(4281(a,1),12175(a,1,2))]. 12197 K(x,T(T(y,z) * u,y)) = K(x,u * T(y,z)). [para(4610(a,1),12175(a,1,2))]. 12200 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(12175(a,1),5514(a,1))]. 12201 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(12175(a,1),5555(a,1))]. 12202 K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(12175(a,1),5563(a,1))]. 12203 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(12175(a,1),5660(a,1))]. 12204 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(5748(a,1),12175(a,1,2))]. 12205 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(5784(a,1),12175(a,1,2))]. 12209 K(x,K(y,z)) * (K(u,x) * w) = x * (T(T(x,K(y,z)),u) \ w). [para(12175(a,1),5333(a,1,2,1))]. 12210 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(6969(a,1),12175(a,1,2)),flip(a)]. 12216 T(x,(y \ z) \ T(y,u)) = T(x,y * (T(y,u) / z)). [hyper(58,a,6326,a(flip),b,12176,a)]. 12219 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(12176(a,1),5677(a,1))]. 12220 T(x,y * K(z,u)) != w | T(x,K(z,u) * y) = w. [para(12176(a,1),5680(a,1))]. 12221 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(5748(a,1),12176(a,1,2))]. 12223 x * (T(y,z) * K(x,u / y)) = T(x,y \ u) * T(y,z). [para(12176(a,1),5766(a,1,1)),flip(a)]. 12230 T(K(x,y) * z,K(z,u)) = K(x,y) * z. [para(12184(a,1),6086(a,2,1))]. 12231 (K(x,y) * K(z,u)) * L(w,K(x,y),K(z,u)) = K(z,u) * (K(x,y) * w). [para(12184(a,1),6704(a,2,2,1))]. 12234 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(5648,a,12204,a)]. 12240 K(x,L(T(y,T(z,u)),w,v5)) = K(x,T(L(y,w,v5),z)). [para(20(a,2),12204(a,1,2))]. 12244 T(x,y) * K(z,T(u,x)) = K(z,u) * T(x,y). [para(12204(a,1),3647(a,1,2))]. 12245 K(x,T(T(y,z) * u,y)) != w | K(x,u * T(y,z)) = w. [para(12204(a,1),5660(a,1))]. 12247 (x * (x / (x * y))) * (y * K(z,T(u,x))) = (K(z,u) * y) * (x / y). [para(12204(a,1),11614(a,1,2,2))]. 12249 T(T(x,y),K(y,T(z,u))) = T(x,T(y,z)). [hyper(5756,a,12221,a)]. 12253 T(T(x,y) \ K(z,u),K(z,u)) = T(x,y) \ K(z,T(u,x)). [hyper(111,a,12234,a(flip),b,927,a),flip(a)]. 12255 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(5748(a,1),12200(a,1,2))]. 12256 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(5784(a,1),12200(a,1,2))]. 12258 T(x,T(T(y,K(z,u)),w)) != v5 | T(x,T(y,w)) = v5. [para(18(a,1),12219(a,1,2))]. 12259 K(x,y * z) * K(z,K(y,x)) = K(x,z * y). [hyper(58,a,6501,a(flip),b,12147,a),flip(a)]. 12260 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(58,a,5293,a(flip),b,12147,a),flip(a)]. 12261 (K(x,y) * z) \ (K(x,T(y,u)) * z) = K(x,K(y,u)). [hyper(111,a,5293,a(flip),b,12147,a(flip))]. 12264 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [hyper(280,a,8811,a(flip),b,12151,a),flip(a)]. 12265 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(12151(a,1),5296(a,1))]. 12266 K(x,K(y,z * u)) * K(x,y * (u * z)) = K(x,(u * z) * y). [para(12151(a,1),6500(a,1,1))]. 12267 x * (y * K(z,K(u,y * x))) = T(x * y,K(z,u)). [para(12151(a,1),8814(a,1,2,2))]. 12268 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(280,a,5888,a,b,12152,a)]. 12271 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(12158(a,2),5327(a,1))]. 12272 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(13(a,2),12160(a,2,2,2))]. 12273 x * K(x,K(y,z / u)) = T(x,K(y,z \ u)). [para(12160(a,2),2882(a,2,2)),flip(a)]. 12274 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(12160(a,1),5398(a,1))]. 12275 K(x,K(y,z)) * (u * K(x,K(y,z))) = u. [hyper(5330,a,12164,a)]. 12276 K(x,K(y,z \ u)) * z = u * T(u \ z,K(x,y)). [hyper(280,a,5271,a,b,12164,a),flip(a)]. 12277 K(x,K(y,z)) * (u \ 1) = u \ K(x,K(y,z)). [hyper(280,a,10497,a(flip),b,12164,a),flip(a)]. 12278 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(280,a,5829,a(flip),b,12164,a),flip(a)]. 12279 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(280,a,5270,a(flip),b,12164,a),flip(a)]. 12281 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. [para(12164(a,1),4019(a,1,2))]. 12282 (K(x,y) * z) * K(x,K(y,u)) != w | K(x,T(y,u)) * z = w. [para(12164(a,1),5823(a,1))]. 12283 T(K(x,K(y,z)) * u,K(z,y) * x) = x \ T(u * x,K(y,z)). [para(12164(a,2),11945(a,1,1))]. 12284 T(x,(y * K(z,u)) \ 1) = T(x,y \ K(u,z)). [para(10566(a,2),12177(a,1,2))]. 12285 T(x,K(y,z) * u) = T(x,u * K(z,y)). [hyper(280,a,12000,a,b,12178,a),flip(a)]. 12286 x / T(x,y * K(z,u)) != w | K(K(z,u) * y,x) = w. [para(12178(a,1),2971(a,1,2))]. 12287 T(T(x,y * K(z,u)),K(w,K(z,u) * y)) != v5 | T(x,T(K(z,u) * y,w)) = v5. [para(12178(a,1),5808(a,1,1))]. 12288 T(x,K(y,z) * (u \ 1)) != w | T(x,u \ K(y,z)) = w. [para(12178(a,2),10812(a,1))]. 12289 K(x,T(1 / (y * z),y)) = K(x,K(u,1 / u) / (z * y)). [hyper(280,a,11195,a,b,12182,a)]. 12290 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(11954,a,12183,a)]. 12291 K(x,(K(y,T(z,u)) * w) * K(z,u)) = K(x,z * (T(T(z,u),y) \ w)). [hyper(58,a,11960,a(flip),b,12183,a),flip(a)]. 12292 K(x,K(y,z) * (u \ 1)) != w | K(x,u \ K(y,z)) = w. [para(12183(a,2),10625(a,1))]. 12293 K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. [para(12183(a,1),11954(a,1))]. 12294 T(x * K(K(y,z) * u,w),(u * K(y,z)) \ x) = T(u * K(y,z),w) * (x / (u * K(y,z))). [para(12185(a,2),6285(a,1,1,2))]. 12295 ((K(x,y) \ 1) \ z) * K(z * K(x,y),u) = T((K(x,y) \ 1) \ z,u). [para(12185(a,1),10560(a,1,2))]. 12296 (x * K(y,z)) * L(K(u,w),K(y,z),x) = x * (K(u,w) * K(y,z)). [para(12191(a,1),86(a,2,2))]. 12298 K(K(x,y) / z,u) = K(u,K(y,x) * z). [hyper(3731,a,12195,a)]. 12299 (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). [para(12205(a,1),3647(a,1,2))]. 12300 K(x,T(y,z * u)) * (u * z) = (u * z) * K(x,y). [para(12205(a,1),5433(a,1,1))]. 12302 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(280,a,11165,a,b,12210,a)]. 12303 K(x,T(y,z / u)) = K(x,T(y,u * z)). [hyper(280,a,12125,a(flip),b,12210,a),flip(a)]. 12304 K(x,T(y,z / u)) != w | K(x,T(y,u * z)) = w. [para(12210(a,2),12138(a,1))]. 12305 T(K(x,y) * z,T(z,u)) = T(K(x,y) * z,z). [para(12230(a,1),5750(a,1,1)),flip(a)]. 12306 T(T(x,y / z),K(u,y \ z)) = T(x,T(y / z,u)). [para(3798(a,1),12249(a,1,2))]. 12308 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(115,a,12275,a)]. 12309 L(x \ (y * K(z,K(u,w))),x,K(z,K(u,w))) = (K(z,K(u,w)) * x) \ y. [para(12275(a,1),88(a,2,2))]. 12310 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [para(3379(a,1),12275(a,1,2))]. 12313 T(x,K(y,z) * (x / u)) = T(x,u \ K(z,y)). [hyper(280,a,11308,a(flip),b,12285,a),flip(a)]. 12314 T(x,K(y,z) * (u \ K(y,z))) = T(x,u \ 1). [para(10569(a,1),12285(a,2,2))]. 12315 K(x,(y * z) * K(u,y)) = K(x,T(y,u) * z). [para(4014(a,1),12290(a,1,2)),flip(a)]. 12316 K(x,K(y,L(z,u,w)) * v5) = K(x,v5 * K(z,L(y,u,w))). [para(9511(a,1),12290(a,1,2,1))]. 12317 K(x,K(y,z) * (u \ K(z,y))) = K(u,x). [para(67(a,1),12298(a,1,1)),flip(a)]. 12319 K(x,K(y,z)) \ (u * z) = u * T(z,K(x,y)). [hyper(280,a,5314,a(flip),b,12308,a),flip(a)]. 12320 K(x * (y * K(z,u)),w) = K(w,y \ (x \ K(z,u))). [hyper(12049,a,12317,a),flip(a)]. 12321 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(897(a,1),12148(a,1,2,2))]. 12322 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(3638(a,2),12148(a,1,2))]. 12323 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(3679(a,1),12148(a,1,2))]. 12327 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(3508(a,1),12255(a,1,2,2))]. 12329 K(x,K(y,T(z,u)) * (w * (z * y))) = K(x,w * T(z * y,T(z,u))). [para(4180(a,1),12197(a,1,2))]. 12330 T(x,y) * K(z,L(T(u,x),w,v5)) = K(z,L(u,w,v5)) * T(x,y). [para(20(a,2),12244(a,1,2,2))]. 12331 x / L(K(y,T(z,u)),T(u,w),T(u,w) \ x) = (x / (K(y,z) * T(u,w))) * T(u,w). [para(12244(a,1),6685(a,2,1,2))]. 12332 K(x * y,z) * K(z,y * x) = K(y,K(x,z)). [hyper(4283,a,12259,a)]. 12333 (T(x,K(y,z)) / u) * (u * L(u \ ((T(x,K(y,z)) / u) \ w),v5,v6)) = x * (L(T(x,K(y,z)) \ w,v5,v6) * K(x,K(y,z))). [hyper(280,a,2150,a,b,12281,a)]. 12334 T(x,y / (z * T(y,u))) = T(x,z \ K(u,y)). [hyper(5699,a,12284,a)]. 12335 T(K(x,y) * z,T(z,u)) = z * K(x,y). [hyper(280,a,5542,a(flip),b,12305,a),flip(a)]. 12336 T(x,(K(y,z) \ (K(y,z) / u)) * (w \ K(y,z))) = T(x,(w * (u * K(y,z))) \ 1). [para(1003(a,2),12314(a,1,2))]. 12337 K(x,y * (z * K(u,y))) = K(x,T(y,u) * z). [para(5034(a,1),12315(a,1,2))]. 12338 K(x * y,z) * K(z,y * x) = K(x,K(y,z)). [hyper(280,a,5277,a,b,12332,a),flip(a)]. 12339 T(x,T(y,z) \ (y / u)) = T(x,u \ K(z,y)). [para(9263(a,1),12334(a,1,2))]. 12340 K(x,T(y,z) * (u / (z * y))) = K(x,y * (u / (y * z))). [para(4889(a,1),12337(a,1,2,2)),flip(a)]. 12341 K(x,K(y,z)) * K(y * x,z) = K(x * y,z). [hyper(4329,a,12338,a)]. 12342 (K(x,K(y,z)) * K(z,u)) * K(y * x,z) = K(x * y,z) * K(z,u). [para(12338(a,1),9046(a,1,1,1))]. 12343 K(x,K(y,z)) * K(z * x,y) = K(x * z,y). [para(5298(a,1),12341(a,1,1))]. 12345 T(x,y * K(z,u)) != w | T(x,y * K(u,z)) = w. [para(12285(a,1),12180(a,1))]. 12346 K(x / K(y,z),u) != w | K(K(z,y) * x,u) = w. [para(4323(a,2),12202(a,1,1))]. 12347 K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. [para(11953(a,1),12203(a,1))]. 12349 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(12285(a,2),12220(a,1))]. 12350 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(10730(a,2),12256(a,1,2))]. 12351 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(10518(a,2),12274(a,1,2))]. 12352 K(x,y * K(z,L(u,w,v5))) != v6 | K(x,K(u,L(z,w,v5)) * y) = v6. [para(9511(a,1),12293(a,1,2,2))]. 12353 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(96(a,1),12321(a,1,2,2))]. 12357 K(x,T(y,L((z / u) / w,w,u))) != v5 | K(x,T(y,(w * u) \ z)) = v5. [para(11080(a,2),12327(a,1,2,2))]. 12360 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(11940(a,2),12349(a,1))]. 12362 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(12164(a,1),12173(a,1,1))]. 12364 T(K(x,y) * K(z,K(u,w)),v5) = K(z,K(u,w)) * K(x,T(y,v5)). [hyper(280,a,3644,a,b,12174,a),flip(a)]. 12367 x * (K(y,K(z,u * w)) * v5) = x * (v5 * K(y,K(z,w * u))). [para(12151(a,1),12179(a,1,2,1))]. 12369 T(x,(y \ z) * T(z,u)) = T(x,z * (T(z,u) / y)). [para(10871(a,1),12216(a,1,2))]. 12370 K(x,L(T(y,T(z,u)),w,v5)) = K(x,L(T(y,z),w,v5)). [para(20(a,2),12240(a,2,2))]. 12372 K(x,(y * (z * T(z \ (y \ u),w))) \ u) = (K(x,w) * v5) \ (K(x,T(w,(y * z) \ u)) * v5). [para(4477(a,2),12261(a,2,2)),flip(a)]. 12373 x * (K(y,K(z,u * x)) * u) = T(x * u,K(y,z)). [hyper(58,a,12179,a,b,12267,a)]. 12374 (x * L(y,y,x)) * (y * K(z,K(u,x * (y * T(y,x))))) = T((x * L(y,y,x)) * y,K(z,u)). [para(6721(a,1),12267(a,1,2,2,2,2))]. 12375 L(x,y,z) * (K(u,K(w,v5 \ x)) * v5) = x * (L(x,y,z) * T(x \ v5,K(u,w))). [para(12276(a,2),1912(a,1,2))]. 12376 L(K(x,K(y,z \ u)) \ 1,z,z \ 1) = z * ((u * T(u \ z,K(x,y))) \ 1). [para(12276(a,1),7043(a,2,2,1))]. 12377 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(280,a,3644,a,b,12279,a),flip(a)]. 12378 (x * y) * K(z,T(L(u,x,y),y * x)) = (K(z,u) * x) * y. [hyper(280,a,11090,a(flip),b,12299,a),flip(a)]. 12379 ((x * y) * K(z,u)) / T(x,y) = ((y * x) * K(z,u)) / x. [para(12300(a,1),5497(a,1,1)),flip(a)]. 12380 K(x,(y \ z) \ (u \ K(y,z))) = K(u * (z / y),x). [para(2993(a,1),12320(a,1,1,2)),flip(a)]. 12381 T(x * K(y,K(z,x * u)),u) = u \ T(x * u,K(y,z)). [hyper(280,a,8857,a(flip),b,12362,a),flip(a)]. 12382 (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(12362(a,1),4334(a,1,1,2))]. 12384 K(x \ T(y,z),L(T(u,y * (T(y,z) / w)),T(y,z),w \ y)) = K(u,((w \ y) * x) / ((w \ y) * T(y,z))). [para(12369(a,1),9596(a,1,2,1))]. 12385 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). [para(103(a,1),12370(a,1,2,1,2)),flip(a)]. 12386 K(x,L(T(y / T(z,u),z),w,v5)) = K(x,L(T(z,u) \ y,w,v5)). [para(103(a,1),12370(a,1,2,1)),flip(a)]. 12387 K(x,L(T(y,z * u),w,v5)) = K(x,L(T(y,u * z),w,v5)). [para(897(a,1),12370(a,1,2,1,2))]. 12388 K(T(x,y) * z,L(T(u,x),w,v5)) != v6 | K(z * T(x,y),L(u,w,v5)) = v6. [para(12370(a,1),5669(a,1))]. 12389 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(12377(a,2),38(a,1))]. 12390 (x * K(y,T(z,u))) * L(w,K(y,K(z,u)),x * K(y,z)) = (x * K(y,z)) * (T(K(y,K(z,u)),x * K(y,z)) * w). [para(12377(a,1),6704(a,1,1))]. 12391 K(K(x,y) * z,u) = K(z * K(y,x),u). [hyper(12286,a,12001,a)]. 12392 K(x,(y * K(z,u)) \ 1) = K(K(u,z) * y,x). [hyper(280,a,3566,a,b,12391,a)]. 12393 K(K(x,L(y,z,u)) * w,v5) = K(w * K(y,L(x,z,u)),v5). [para(9511(a,1),12391(a,1,1,1))]. 12394 K(x,K(y,z) * (u \ 1)) = K(K(y,z) * u,x). [para(3432(a,1),12392(a,1,2))]. 12395 K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. [para(12392(a,1),3711(a,1))]. 12396 K(K(x,y) * z,u) = K(u,z \ K(x,y)). [hyper(12292,a,12394,a),flip(a)]. 12397 T(K(x,y \ K(z,u)) * w,y \ K(z,u)) = K(K(z,u) * y,x) * T(w,y \ K(z,u)). [para(12396(a,2),4496(a,2,1))]. 12398 a(x,y,K(K(z,u) * w,v5)) * K(v5,x) = K(v5,L(x,y,w \ K(z,u))). [para(12396(a,2),10840(a,1,1,3))]. 12399 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(12151(a,1),12351(a,1))]. 12400 K(x,K(y * (z * u),z)) * K(x,(y * (u * z)) / z) = K(x,T(z,u) \ (y * (z * u))). [para(3398(a,1),12167(a,1,2,2))]. 12402 T(T(x,y) \ K(z,u),K(z,u)) != T(x,y) \ w | K(z,T(u,x)) = w. [para(12253(a,2),42(a,1))]. 12403 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(280,a,3206,a(flip),b,12289,a),flip(a)]. 12404 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(6202,a,12403,a)]. 12405 T(x,K(y,L(z,u,w)) * v5) / x = K(x,v5 * K(z,L(y,u,w))). [hyper(2937,a,12316,a)]. 12406 K(x,(y * (y / z)) * (u / ((y \ 1) * (y * (z \ y))))) = K(x,(y * (z \ y)) * (u / ((y * (z \ y)) * (y \ 1)))). [para(3543(a,1),12340(a,1,2,1))]. 12407 ((x * y) * K(z,u * u)) / T(x,y) = x \ ((x * y) * K(z,u * u)). [hyper(280,a,11391,a(flip),b,12379,a),flip(a)]. 12408 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u * z),w,v5)). [hyper(280,a,12142,a(flip),b,12385,a),flip(a)]. 12409 K(x,L(T(y * (z * u),u * z),w,v5)) = K(x,L((z * u) * y,w,v5)). [hyper(280,a,5776,a(flip),b,12387,a),flip(a)]. 12410 (x * y) * K(z,L(T(u,y * x),x,y)) = (K(z,u) * x) * y. [para(20(a,2),12378(a,1,2,2))]. 12411 x * (T(y,x) * K(z,T(u,x * y))) = (K(z,u) * y) * x. [hyper(9403,a,12410,a)]. 12412 K(((x \ 1) * y) * z,T(u,y * x)) = K(z * ((x \ 1) * y),u). [hyper(12256,a,12137,a)]. 12413 K(T(x,y * z),u / ((y \ 1) * z)) = K((u \ 1) * ((y \ 1) * z),x). [hyper(10608,a,12137,a)]. 12414 (x / K(y,T(T(z,u),w))) \ (x * L(L(K(y,T(T(z,u),w)) \ 1,K(y,T(T(z,u),w)),x),v5,v6)) = K(y,K(z,w)) * (K(y,T(z,u)) * L(K(y,T(T(z,u),w)) \ 1,v5,v6)). [hyper(280,a,2007,a,b,12153,a)]. 12415 K(x,K(y,z)) * (K(u,x) * w) = x * (T(T(x,u),K(y,z)) \ w). [para(18(a,1),12209(a,2,2,1))]. 12417 T((K(x,K(y,z)) * u) \ 1,K(z,y) * x) = (x \ T(u * x,K(y,z))) \ 1. [para(12283(a,1),3611(a,2,1))]. 12419 K(x,y) * (K(y,K(z,u)) * w) = y * (T(T(y,x),K(z,u)) \ w). [hyper(7304,a,12415,a)]. 12420 K(x,y) * (z * K(y,K(u,w))) = y * (T(T(y,x),K(u,w)) \ z). [hyper(58,a,12179,a(flip),b,12419,a)]. 12421 K(x,L(y,z,u)) * (K(y,K(w,v5)) * v6) = y * (T(T(y,L(x,z,u)),K(w,v5)) \ v6). [para(9511(a,1),12419(a,1,1))]. 12422 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(280,a,5383,a(flip),b,12268,a),flip(a)]. 12423 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(12271,a,12422,a)]. 12424 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(17(a,2),12423(a,1,2,1,1))]. 12425 x * (K(y,z) * K(u,w)) != v5 | x * (K(u,w) * K(y,z)) = v5. [para(12296(a,1),263(a,1))]. 12426 (x / y) * (T(y,x) * K(z,T(u,x))) = (K(z,u) * y) * (x / y). [hyper(58,a,6477,a(flip),b,12247,a)]. 12428 (K(x,y) * z) * K(z * K(x,y),u) = T((K(x,y) \ 1) \ z,u). [para(4313(a,1),12295(a,1,1))]. 12429 K(x,K(y,T(z,u)) * (w * (y * (z \ y)))) = K(x,w * T(y * (z \ y),T(y,u))). [para(9876(a,1),12329(a,1,2,1))]. 12430 T(x,y * K(z,u * u)) = T(x,y). [hyper(31,a,1584,a,b,12407,a)]. 12431 T(x,y * K(z * z,u)) = T(x,y). [hyper(12345,a,12430,a)]. 12432 T(x,K(y,z * z) * u) = T(x,u). [hyper(12220,a,12430,a)]. 12433 T((x / T(y,K(z * z,u))) * K(z * z,u),y) = K(z * z,u) * (y \ x). [hyper(58,a,11650,a(flip),b,12430,a),flip(a)]. 12434 K(x * K(y * y,z),u) = u / T(u,x). [para(12430(a,1),12001(a,1,2)),flip(a)]. 12435 K(x,y * K(z * z,u)) = x \ T(x,y). [hyper(111,a,12431,a(flip),b,2882,a(flip)),flip(a)]. 12436 (K(x * x,y) * (z * u)) / T(z,u) = z \ ((z * u) * K(x * x,y)). [para(12431(a,1),11071(a,1,2))]. 12437 (x * (K(y,z) * u)) / T(K(z,y),u) = (x * ((K(y,z * z) * u) * K(z,y))) / K(z,y). [para(12432(a,1),11417(a,1,2))]. 12438 K(x * K(y * y,z),u) = K(x,u). [hyper(280,a,2967,a,b,12434,a),flip(a)]. 12439 T((K(x * x,y) \ 1) \ z,u) = (K(x * x,y) * z) * K(z,u). [para(12438(a,1),12428(a,1,2)),flip(a)]. 12440 K(x,y * K(z * z,u)) = K(x,y). [hyper(280,a,2890,a,b,12435,a),flip(a)]. 12441 K(x,y * K(z * z,u)) != w | K(x,y) = w. [para(12435(a,2),2900(a,1))]. 12442 K(x,y * (z * T(u,w * w))) = K(x,y * (z * u)). [para(5000(a,1),12440(a,1,2)),flip(a)]. 12444 K(x,L(T(y * y,z),u,w)) != v5 | K(x,L(y * y,u,w)) = v5. [para(9565(a,1),12441(a,1,2))]. 12446 T((K(x * x,y) \ 1) \ z,u) = K(x * x,y) * T(z,u). [hyper(280,a,3372,a(flip),b,12439,a),flip(a)]. 12447 T(K(x * x,y) * z,u) = K(x * x,y) * T(z,u). [para(4313(a,1),12446(a,1,1))]. 12448 K(T(x,y * z),u * ((z \ 1) * y)) = K((u \ 1) * ((y \ 1) * z),x). [hyper(58,a,10615,a(flip),b,12413,a)]. 12449 (K(x * x,y) * (z * u)) / u = u \ ((u * z) * K(x * x,y)). [hyper(58,a,3398,a(flip),b,12436,a)]. 12451 K(x,T(y * ((z \ 1) * u),u * z)) = K((y \ 1) * ((u \ 1) * z),x). [hyper(4739,a,12448,a)]. 12452 K(x,T(y * ((z \ 1) * u),u * z)) = K(x,((u \ 1) * z) \ y). [hyper(280,a,10602,a(flip),b,12451,a),flip(a)]. 12453 K(x,T(y * ((z \ 1) * u),u * z)) = K(x,((z \ 1) * u) * y). [hyper(280,a,10619,a(flip),b,12452,a),flip(a)]. 12454 K(x,T(y * ((z \ 1) * u),u * z)) != w | K(x,((z \ 1) * u) * y) = w. [para(12452(a,2),10808(a,1))]. 12455 K(x,T(y * ((z \ 1) * (u / ((z \ 1) \ 1))),(u / ((z \ 1) \ 1)) * z)) = K(x,((((z \ 1) \ 1) \ u) * (z \ 1)) * y). [para(3546(a,2),12453(a,2,2,1))]. 12456 K((x * y) * z,L(x,u,w)) = K(y * T(z,x),L(x,u,w)). [hyper(12388,a,9482,a),flip(a)]. 12457 K((x * y) * z,L(x,u,w)) = K(y * z,L(x,u,w)). [hyper(280,a,8595,a(flip),b,12456,a),flip(a)]. 12458 K((T(x,y) \ z) * u,L(x,w,v5)) = K((K(y,x) * z) * u,L(x,w,v5)). [para(4296(a,1),12457(a,1,1,1)),flip(a)]. 12459 T(x \ K(K(y,z),u),K(z,y) * u) = (u \ T(x * u,K(y,z))) \ 1. [para(10571(a,1),12417(a,1,1))]. 12460 (x \ T(y * x,K(z,u))) \ 1 = x \ T((y \ 1) * x,K(z,u)). [hyper(58,a,11939,a(flip),b,12459,a),flip(a)]. 12461 x * ((x \ T((y \ 1) * x,K(z,u))) / x) = (T(y * x,K(z,u)) / x) \ 1. [para(12460(a,1),3769(a,1,2,1))]. 12462 T((x / T(y,K(z,u * u))) * K(u * u,z),y) = K(u * u,z) * (y \ x). [para(5355(a,1),12433(a,1,1,1,2))]. 12463 x * (x \ (T((y \ 1) * x,K(z,u)) / x)) = (T(y * x,K(z,u)) / x) \ 1. [para(937(a,1),12461(a,1,2))]. 12464 T((x / y) * K(z * z,u),y) = K(z * z,u) * (y \ x). [para(11036(a,1),12462(a,1,1,1,2))]. 12465 x * (x \ (x \ T(x * (y \ 1),K(z,u)))) = (T(y * x,K(z,u)) / x) \ 1. [para(1050(a,1),12463(a,1,2,2))]. 12466 (T(x * y,K(z,u)) / y) \ 1 = y \ T(y * (x \ 1),K(z,u)). [hyper(240,a,12465,a),flip(a)]. 12468 (x \ T(x * y,K(z,u))) \ 1 = x \ T(x * (y \ 1),K(z,u)). [para(1050(a,1),12466(a,1,1))]. 12469 x \ T(x * y,K(z,u)) = x * T(x \ y,K(z,u)). [hyper(34,a,4873,a,b,12468,a),flip(a)]. 12470 K(x,((y \ z) * u) / T(u * T(z,y),u)) = K(y,L(T(x,y * z),z,u)). [hyper(9383,a,12128,a),flip(a)]. 12471 K(x,((y \ z) * u) / T(u * T(z,y),u)) = K(y,L(T(x,z),z,u)). [hyper(280,a,4784,a(flip),b,12470,a),flip(a)]. 12472 K(x,((y \ z) * u) / (T(z,y) * u)) = K(y,L(T(x,z),z,u)). [para(897(a,1),12471(a,1,2,2))]. 12473 L(K(K(x,y \ z),u) * 1,y,y \ 1) = y * ((z * T(z \ y,K(u,x))) \ 1). [para(4271(a,1),12376(a,1,1))]. 12474 L(K(x,K(y \ z,u)) * 1,y,y \ 1) = y * ((z * T(z \ y,K(u,x))) \ 1). [para(5254(a,1),12473(a,1,1,1))]. 12475 L(K(x,K(y,z \ u)) * 1,u,u \ 1) = u * ((z * T(z \ u,K(y,x))) \ 1). [para(3570(a,1),12474(a,1,1,1,2))]. 12476 L(K(x,K(y,z \ u)) * 1,u,u \ 1) = u * ((z * T(z \ u,K(x,y))) \ 1). [para(5277(a,1),12475(a,1,1,1))]. 12477 L(K(x,K(y,z \ u)),u,u \ 1) = u * ((z * T(z \ u,K(x,y))) \ 1). [para(3(a,1),12476(a,1,1))]. 12478 x * ((y * T(y \ x,K(z,u))) \ 1) = K(z,K(u,y \ x)). [hyper(10835,a,12477,a),flip(a)]. 12480 x * (y \ T(y * (x \ 1),K(z,u))) = K(z,K(u,y \ x)). [para(4873(a,1),12478(a,1,2))]. 12481 x * (y * T(y \ (x \ 1),K(z,u))) = K(z,K(u,y \ x)). [para(12469(a,1),12480(a,1,2))]. 12482 K(K(x,y),z * u) = K(x,K(y,u \ z)). [hyper(3708,a,12481,a)]. 12483 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [hyper(5384,a,12482,a),flip(a)]. 12484 K(x,K(y,z \ u)) != w | K(x,K(y,u * z)) = w. [para(12482(a,1),5384(a,1))]. 12485 K(x,K(y,z / u)) = K(x,K(y,z * u)). [hyper(12274,a,12483,a)]. 12486 x * T(x \ y,K(z,u)) = y * K(z,K(u,x * y)). [para(12483(a,1),5271(a,2,2))]. 12487 T(x * K(y,K(z,x * u)),u) = T(u \ x,K(y,z)) * u. [para(12483(a,1),5420(a,1,1,2))]. 12488 K(x,K(y,z * u)) != w | K(x,K(y,z / u)) = w. [para(12483(a,1),12274(a,1))]. 12489 K(x,K(y,z * (u \ z))) = K(x,K(y,u)). [para(67(a,1),12485(a,1,2,2)),flip(a)]. 12490 K(x,K(y,z * u)) * K(x,(y \ K(w,u / z)) * T(u * (z \ 1),w)) = K(x,(u * (z \ 1)) * (y \ 1)). [para(12485(a,1),11931(a,1,1))]. 12491 x * K(x,K(y,z * u)) = T(x,K(y,z \ u)). [para(12485(a,1),12273(a,1,2))]. 12492 K(x,K(y,z * u)) * K((z / u) * x,y) = K(x * (z / u),y). [para(12485(a,1),12343(a,1,1))]. 12493 K(x,K(y,z)) * K(x,y * ((z \ u) * u)) = K(x,((z \ u) * u) * y). [para(12489(a,1),12266(a,1,1))]. 12494 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [hyper(2916,a,12491,a),flip(a)]. 12495 T(x,K(y,z \ u)) != w | T(x,K(y,z * u)) = w. [para(12491(a,1),2916(a,1))]. 12496 T(x,K(y,z \ u)) = T(x,K(y,u * z)). [hyper(5404,a,12494,a)]. 12497 T(T(x,y / z),K(u,y * z)) = T(x,T(y / z,u)). [hyper(58,a,12306,a(flip),b,12494,a),flip(a)]. 12498 T(T(x,K(y,z * u)),y * (z \ u)) = T(x,(z \ u) * y). [para(12494(a,1),5783(a,1,1))]. 12499 T(T(x,K(y,z * u)),y / (u \ z)) != w | T(x,(u \ z) \ y) = w. [para(12496(a,1),6968(a,1,1))]. 12500 K(x,K(y,z / u)) != w | K(x,K(y,z * u)) = w. [para(12152(a,2),12484(a,1))]. 12501 T(x,K(y,z \ u)) != w | T(x,K(y,u * z)) = w. [para(5367(a,1),12495(a,1))]. 12502 L(x * K(y,K(z,u * x)),w,v5) * u = u * L(T(u \ x,K(y,z)) * u,w,v5). [para(12486(a,1),925(a,1,1,1))]. 12503 T(T(x,y / K(z,u / y)),K(w,K(z,y \ u) * y)) = T(x,T(y / K(z,u / y),w)). [para(5490(a,2),12497(a,1,2,2))]. 12504 x \ T(y * x,K(z,u)) = T(x \ y,K(z,u)) * x. [hyper(58,a,12381,a(flip),b,12487,a)]. 12505 T(x,(K(y,z) \ (K(y,z) / u)) * (w \ K(y,z))) = T(x,(K(z,y) / u) * (w \ 1)). [para(10643(a,1),12336(a,2,2))]. 12506 L(x,y,z) * (K(u,K(w,x * v5)) * v5) = x * (L(x,y,z) * T(x \ v5,K(u,w))). [para(12483(a,1),12375(a,1,2,1))]. 12507 T(x,(K(y,z) \ (K(y,z) / u)) * (w \ K(y,z))) = T(x,(K(z,y) / u) / w). [hyper(280,a,10731,a(flip),b,12505,a),flip(a)]. 12508 L(x,y,z) * (u * K(w,K(v5,u * x))) = x * (L(x,y,z) * T(x \ u,K(w,v5))). [hyper(58,a,12367,a(flip),b,12506,a)]. 12509 x / K(y,L(T(z,u),T(u,w),T(u,w) \ x)) = (x / (K(y,z) * T(u,w))) * T(u,w). [para(9384(a,1),12331(a,1,2))]. 12510 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(3773(a,1),12302(a,1,2,2))]. 12511 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(58,a,6193,a(flip),b,12382,a)]. 12512 K(x,L(y,K(z,K(u,w)),v5)) = K(x,y * K(z,K(u,w))). [hyper(12200,a,12511,a)]. 12513 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(10996,a,12512,a),flip(a)]. 12515 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(12201,a,12513,a)]. 12516 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(2391(a,1),12513(a,1,2))]. 12517 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(3190(a,1),12513(a,1,2))]. 12518 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(5829(a,1),12513(a,1,2))]. 12519 K(x,K(y,K(z,u)) \ w) = K(x,w). [para(12308(a,2),12513(a,1,2))]. 12520 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(280,a,2890,a(flip),b,12515,a),flip(a)]. 12521 K(x,(K(y,z) * u) \ w) = K(x,(u * K(y,z)) \ w). [para(4261(a,1),12515(a,1,2))]. 12522 K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). [para(12377(a,1),12515(a,1,2))]. 12523 K(x,T(y,K(z,u)) \ ((T(y,K(z,u)) / w) * v5)) = K(x,((T(y,K(z,u)) / v5) * w) \ y). [para(693(a,1),12517(a,1,2))]. 12524 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(2935,a,12520,a)]. 12525 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(12520(a,2),2900(a,1))]. 12526 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(12180,a,12524,a)]. 12527 T(x,y * T(z,K(u,w))) = T(x,y * z). [para(3195(a,1),12524(a,1,2))]. 12528 T(x,y \ T(z,K(u,w))) = T(x,y \ z). [para(3194(a,1),12524(a,1,2))]. 12529 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(3894(a,1),12524(a,1,2))]. 12530 T(x,(K(y,z) * u) \ w) = T(x,(u * K(y,z)) \ w). [para(4261(a,1),12524(a,1,2))]. 12531 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(5899(a,1),12524(a,1,2))]. 12532 T(x,y * K(z,T(u,w))) = T(x,y * K(z,u)). [para(12377(a,1),12524(a,1,2))]. 12533 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(12526(a,1),2967(a,2,2))]. 12535 T(x,K(y,T(z,u))) = T(x,K(z,y)). [hyper(280,a,5355,a,b,12529,a),flip(a)]. 12536 K(x,T(y,z)) * (u * K(y,T(x,z))) = T(u,K(x,y)). [hyper(58,a,5580,a,b,12529,a)]. 12537 T(T(x,y * T(y \ z,u)),K(y,z)) = T(x,y * T(z / y,u)). [hyper(58,a,10152,a(flip),b,12529,a),flip(a)]. 12538 T(T(x,K(y,z)),T(z,u)) = T(x,T(T(z,u),y)). [para(12529(a,1),5754(a,1,1))]. 12539 T(T(x,K(y,z)),y / (T(y,u) * z)) = T(x,T(y,u) \ (y / z)). [para(12529(a,1),9881(a,1,1))]. 12540 (x * T(y,K(z,u))) / (y * K(u,T(z,w))) = (x * y) / (K(u,T(z,w)) * y). [para(12535(a,1),3385(a,1,1,2))]. 12541 T(T(x,K(y,z)),T(y * z,u) / y) = T(x,(y \ 1) * T((y \ 1) \ z,u)). [para(12535(a,1),7209(a,1,1))]. 12543 T(x,(K(y,T(z,u)) * w) \ (u \ 1)) = T(x,(w \ K(z,y)) / u). [hyper(58,a,11510,a(flip),b,12528,a),flip(a)]. 12544 x \ T(y * T(x,K(z,u)),K(u,x \ z)) = T(y,x * K(u,z \ x)). [para(12531(a,1),12014(a,1,2))]. 12545 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(280,a,2967,a,b,12533,a),flip(a)]. 12546 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(12202,a,12545,a)]. 12547 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). [para(12260(a,1),12545(a,1,1))]. 12548 (K(x,K(y,z)) * (u * w)) / (K(x,K(y,z)) * u) = K(u,w) * L(w,u,K(x,K(y,z))). [para(12546(a,1),11363(a,1,1)),flip(a)]. 12550 K(x,T(y,K(z,u)) * w) != v5 | K(x,y * w) = v5. [para(4014(a,1),12525(a,1,2))]. 12551 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(5328(a,1),12525(a,1,2))]. 12552 K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. [para(12278(a,1),12525(a,1,2))]. 12553 K(x,y * (z \ K(u,K(w,v5)))) = K(x,y * (z \ 1)). [para(10497(a,1),12518(a,1,2,2))]. 12554 K(x,y * (K(z,T(u,w)) * v5)) = K(x,y * (K(z,u) * v5)). [para(12260(a,1),12518(a,1,2,2))]. 12555 K(x,K(y,T(z,u)) * w) = K(x,w * K(y,z)). [hyper(12201,a,12522,a)]. 12556 K(x,y * T(z,T(u \ z,w))) = K(x,(y * z) * K(u,z)). [para(9883(a,1),12522(a,1,2))]. 12557 T(x,y * K(z,T(u,w))) = T(x,K(u,z) * y). [hyper(280,a,12285,a,b,12532,a),flip(a)]. 12558 T(x,y * K(z,u / w)) = T(x,y * K(z,w \ u)). [para(103(a,1),12532(a,1,2,2,2)),flip(a)]. 12559 K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. [para(12547(a,2),12395(a,1))]. 12560 K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w). [hyper(280,a,12290,a,b,12555,a),flip(a)]. 12561 K(x,K(y,T(z,u)) * w) != v5 | K(x,K(z,y) * w) = v5. [para(12555(a,2),12293(a,1))]. 12562 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [hyper(12220,a,12557,a)]. 12563 K(x,K(y,z) * (u * (z * (y \ z)))) = K(x,u * T(z * (y \ z),T(z,w))). [hyper(58,a,12429,a(flip),b,12560,a),flip(a)]. 12564 T(x,K(T(y,z),u) * w) = T(x,K(u,y) * w). [para(969(a,1),12562(a,1,2,1,2)),flip(a)]. 12565 T(x,K(T(y,z),u) * w) = w \ T(x * T(w,K(y,u)),K(y,u)). [hyper(280,a,11933,a,b,12564,a),flip(a)]. 12566 K(x,(y * T(z,K(u,w))) \ z) = K(y,T(x,K(u,w) * z)). [hyper(12551,a,12012,a)]. 12568 a(x / (K(y,T(z,u)) * (w * K(z,T(y,u)))),K(y,T(z,u)),w * K(z,T(y,u))) = (((x / K(y,T(z,u))) * T(w,K(y,z))) / (w * K(z,T(y,u)))) \ x. [para(12536(a,1),2245(a,1,1,1,2)),flip(a)]. 12569 K(x,y * (z \ K(u,K(w,v5)))) = K(x,y / z). [hyper(280,a,10517,a(flip),b,12553,a),flip(a)]. 12570 K(x,y / (T(z,K(u,w)) * v5)) = K(x,y * ((z * v5) \ 1)). [para(10650(a,1),12569(a,1,2,2)),flip(a)]. 12571 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(80(a,1),12552(a,1,2,2))]. 12572 K(x,y * (z * (u * K(w,K(v5,v6))))) != v7 | K(x,y * (z * u)) = v7. [para(5829(a,1),12552(a,1,2,2))]. 12573 K(x,y * (z \ (u * K(w,v5)))) != v6 | K(x,y * (z \ (K(w,v5) * u))) = v6. [para(10926(a,1),12552(a,1,2,2))]. 12575 K(x,K(y,z) * (K(u,y) * w)) = K(x,y * (T(T(y,z),u) \ w)). [hyper(58,a,11960,a(flip),b,12554,a),flip(a)]. 12576 K(x,y * T(z,T(u \ z,w))) = K(x,K(z,u) * (y * z)). [hyper(280,a,12290,a,b,12556,a),flip(a)]. 12577 K(x,T(y,K(z,u)) \ (w \ y)) = K(w,T(x,K(z,u) * y)). [para(4499(a,1),12566(a,1,2))]. 12578 K(x,y / (T(z,K(u,w)) * v5)) = K(x,y / (z * v5)). [hyper(280,a,10517,a(flip),b,12570,a),flip(a)]. 12579 K(x,y * T(z,T(u \ z,w))) = K(x,T(T(z,u) * y,z)). [para(4071(a,2),12576(a,2,2))]. 12580 K(x,T(y,K(z,u) * w)) = K(y,w \ (x \ w)). [hyper(12551,a,12577,a),flip(a)]. 12581 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(280,a,3795,a(flip),b,12580,a),flip(a)]. 12582 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(12256,a,12581,a)]. 12584 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). [para(3195(a,1),12581(a,1,2,2))]. 12586 K(x,T(y,(z / u) \ w)) = K(x,T(y,(u \ z) \ w)). [para(4050(a,1),12581(a,1,2,2))]. 12587 K(x,T(y,(z / u) * w)) = K(x,T(y,(u \ z) * w)). [para(4174(a,1),12581(a,1,2,2))]. 12589 K(x,K(y,K(z,u) * w)) = K(x,y) * K(y,T(x,w)). [para(12581(a,1),5306(a,1,2)),flip(a)]. 12593 K(x,T(y,(K(z,u) * w) * v5)) = K(x,T(y,w * v5)). [para(6821(a,1),12581(a,1,2,2))]. 12594 ((x \ 1) * K(y,z)) \ K(u,T(w,x)) = K(u,w) / ((K(z,y) * x) \ 1). [para(12581(a,1),12046(a,1,2))]. 12595 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(12581(a,1),12300(a,1,1))]. 12596 K(x,L(T(y,z * K(u,w)),v5,v6)) = K(L(x,v5,v6),T(y,z)). [hyper(9517,a,12582,a)]. 12597 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(58,a,12303,a,b,12582,a)]. 12599 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(3113(a,1),12582(a,1,2,2)),flip(a)]. 12600 K(x,T(y,z * (u / w))) = K(x,T(y,z * (w \ u))). [para(3137(a,1),12582(a,1,2,2))]. 12604 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(12597(a,1),5433(a,1,1))]. 12606 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(280,a,5306,a(flip),b,12589,a),flip(a)]. 12607 K(x,K(y,K(z,u) * w)) = K(w,K(x,y)). [hyper(280,a,3893,a(flip),b,12589,a),flip(a)]. 12608 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(12321,a,12606,a)]. 12610 K(x,K(y,K(z,u) * w)) = K(x,K(w,y)). [hyper(280,a,5298,a,b,12606,a),flip(a)]. 12611 K(x,K(y,K(z,u) * w)) = K(K(x,y),w). [hyper(280,a,5254,a,b,12606,a),flip(a)]. 12612 K(x,K(y,z * T(u,w))) = K(x,K(y,z * u)). [para(3195(a,1),12606(a,1,2,2))]. 12613 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(4175(a,1),12606(a,1,2,2))]. 12615 T(x,K(y,K(z,u) * w)) = K(y,K(x,w)) * x. [para(12606(a,1),5287(a,1,1)),flip(a)]. 12616 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(5735(a,1),12606(a,1,2,2))]. 12617 K(x,K(y,z)) * K(x,y \ (K(u,w) * z)) = K(x,(K(u,w) * z) / y). [para(12606(a,1),5903(a,1,1))]. 12618 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(6055(a,1),12606(a,1,2,2)),flip(a)]. 12619 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [para(10787(a,1),12606(a,1,2,2))]. 12621 x * (K(x,K(y,z)) * K(u,w)) = T(x * K(u,w),K(y,z)). [para(12607(a,1),12373(a,1,2,1))]. 12622 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(3096(a,1),12608(a,1,2,2)),flip(a)]. 12623 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(3113(a,1),12608(a,1,2,2)),flip(a)]. 12624 K(x,K(y,z * (u / w))) = K(x,K(y,z * (w \ u))). [para(3137(a,1),12608(a,1,2,2))]. 12625 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(4889(a,1),12608(a,1,2,2))]. 12626 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(6892(a,1),12608(a,1,2,2)),flip(a)]. 12627 K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). [para(9396(a,1),12608(a,1,2,2))]. 12628 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(12488,a,12610,a)]. 12629 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(5917,a,12610,a)]. 12632 K(x,K(y,z)) * K(x,(K(u,w) * y) \ z) = K(x,z / (K(u,w) * y)). [para(12610(a,1),5900(a,1,1))]. 12633 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [para(12298(a,2),12610(a,1,2))]. 12634 K(x,K(y,K(z,u) * w)) = (v5 * (w * K(x,y))) \ (v5 * (K(x,y) * w)). [hyper(280,a,3151,a,b,12611,a),flip(a)]. 12635 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(5917,a,12628,a)]. 12636 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(5428,a,12628,a),flip(a)]. 12638 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(12628(a,1),5428(a,1))]. 12639 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(280,a,12633,a,b,12636,a)]. 12640 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(2391(a,1),12636(a,1,2,1))]. 12641 K(x,K(y,z * u)) * K(y,(z * T(u,w)) \ x) = K(y,x / (z * T(u,w))). [para(12612(a,1),5899(a,1,1))]. 12642 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(12612(a,2),12321(a,1))]. 12643 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(280,a,5287,a(flip),b,12615,a),flip(a)]. 12644 T(x,K(y,K(z,u) * w)) != v5 | T(x,K(y,w)) = v5. [para(12615(a,2),5289(a,1))]. 12645 T(T(x,y * K(z,u)),K(w,y)) != v5 | T(x,T(K(z,u) * y,w)) = v5. [para(12643(a,1),12287(a,1))]. 12646 T(T(x,K(y,z)),T(K(u,w) * z,v5)) = T(x,T(T(K(u,w) * z,v5),y)). [para(12643(a,1),12538(a,1,1))]. 12647 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(230(a,1),12616(a,1,2,2,2)),flip(a)]. 12648 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(58,a,12424,a(flip),b,12640,a),flip(a)]. 12650 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(5410,a,12599,a)]. 12652 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(12351,a,12618,a)]. 12653 K(x,K(y,z * u)) * K(x,(z * (K(w,v5) * u)) \ y) = K(x,y / (z * (K(w,v5) * u))). [para(12618(a,1),5900(a,1,1))]. 12655 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(5398,a,12619,a),flip(a)]. 12656 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(12619(a,1),5398(a,1))]. 12657 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(12623(a,2),5828(a,1,1))]. 12658 K(x,K(y,z * (u \ w))) * K(x,y * (z * (w / u))) = K(x,(z * (w / u)) * y). [para(12624(a,1),6500(a,1,1))]. 12659 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [para(11321(a,1),12624(a,2,2))]. 12660 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(5296,a,12659,a)]. 12661 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(280,a,5277,a,b,12660,a),flip(a)]. 12662 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [para(11075(a,2),12625(a,1,2,2)),flip(a)]. 12663 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(2391(a,1),12626(a,1,2,2,1))]. 12664 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(3410(a,1),12626(a,1,2,2,1))]. 12665 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(4631(a,1),12626(a,1,2,2,1))]. 12666 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(12626(a,2),12321(a,1))]. 12667 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [hyper(58,a,8360,a(flip),b,12639,a),flip(a)]. 12668 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(12655(a,1),5398(a,1))]. 12669 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(12655(a,2),5398(a,1))]. 12670 K(x,y * T(z,T(u \ z,w))) = K(x,y * T(z,u)). [hyper(280,a,12197,a(flip),b,12579,a),flip(a)]. 12671 K(x,y * T(z,u \ z)) = K(x,y * T(z,u)). [para(100(a,1),12670(a,1,2,2,2))]. 12672 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [para(974(a,1),12671(a,1,2,2))]. 12673 K(x,K(y,z * T(u,w))) * K(y,(z * (w * (u / w))) \ x) = K(y,x / (z * (w * (u / w)))). [para(12672(a,1),5899(a,1,1,2))]. 12674 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3081(a,1),12595(a,1,1))]. 12675 K(x,L(T(y,z * K(u,w)),v5,v6)) = K(x,L(T(y,z),v5,v6)). [hyper(280,a,9511,a(flip),b,12596,a),flip(a)]. 12676 K(x,L(T(y,z * K(u,w)),v5,v6)) != v7 | K(x,L(T(y,z),v5,v6)) = v7. [para(12596(a,2),9517(a,1))]. 12677 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(58,a,10590,a(flip),b,12604,a)]. 12678 K(x,y) * (K(z,u) / x) = (K(z,u) / x) * K(x,y). [para(2953(a,1),12604(a,1,1))]. 12679 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(58,a,10862,a,b,12677,a)]. 12680 K(x,y) * (z \ ((z / K(x,y)) * L(K(x,y),u,w))) = (K(y,x) * (K(x,L(y,u,w)) / y)) * (x * (y / x)). [para(12678(a,2),10404(a,2,1))]. 12681 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(4025,a,12621,a),flip(a)]. 12683 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(6149,a,12681,a),flip(a)]. 12688 x \ T((y * T(x,K(z,u))) * K(x,w),K(z,u)) = T(y,K(u,z) * x) * K(x,w). [para(12681(a,2),11937(a,1,2))]. 12689 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(w,u)). [hyper(5376,a,12683,a)]. 12692 T(K(x,y) * K(z,u),K(w,v5)) = K(z,u) * T(K(x,y),K(w,v5)). [para(12191(a,1),12683(a,1,1))]. 12693 K(x,y) * T(z,K(u,w)) != v5 | T(K(x,y) * z,K(u,w)) = v5. [para(12689(a,1),5376(a,1))]. 12694 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(280,a,5831,a,b,12635,a),flip(a)]. 12696 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(280,a,12264,a(flip),b,12652,a),flip(a)]. 12697 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(5398,a,12696,a)]. 12698 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(3195(a,1),12696(a,1,2,2,1))]. 12699 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(5479(a,1),12697(a,1,2,2,2)),flip(a)]. 12700 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6821(a,1),12697(a,1,2,2,2))]. 12701 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(12699(a,1),12377(a,1,1))]. 12702 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(230(a,1),12663(a,1,2,2,1,1)),flip(a)]. 12703 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(12321,a,12664,a)]. 12704 K(x,L(T(y,(z / u) * w),v5,v6)) = K(x,L(T(y,(u \ z) * w),v5,v6)). [para(4631(a,1),12675(a,1,2,1,2))]. 12705 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(58,a,12655,a(flip),b,12698,a)]. 12706 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(103(a,1),12705(a,1,2,2,2,1)),flip(a)]. 12708 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(58,a,11523,a(flip),b,12648,a)]. 12709 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(5373(a,1),12648(a,1,2,1))]. 12710 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [hyper(58,a,12619,a,b,12662,a)]. 12711 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(4355(a,1),12666(a,1,2,2,1))]. 12712 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(12151(a,1),12666(a,1))]. 12713 K(x,K(y,a(z,u,u \ w))) != v5 | K(x,K(y,((u \ w) * (z * u)) / T(z * w,a(z,u,u \ w)))) = v5. [para(2128(a,1),12669(a,1,2,2))]. 12715 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [para(7(a,1),12710(a,1,2,2,1,2)),flip(a)]. 12716 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(80(a,1),12712(a,1,2,2,2))]. 12717 K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. [para(3635(a,1),12712(a,1,2,2,2))]. 12718 K(x,K(y,z * (u \ w))) != v5 | K(x,K(y,z * (w / u))) = v5. [para(4248(a,1),12712(a,1,2,2,2))]. 12719 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(5146(a,1),12712(a,1,2,2,2))]. 12720 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(5720(a,2),12715(a,1,2))]. 12722 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(4260(a,1),12717(a,1,2,2))]. 12723 T(T(x,K(y,z)),y * T(y \ z,u)) = T(x,y * T(z / y,u)). [hyper(3162,a,12537,a)]. 12725 T(T(x,K(y,z)),y * T(z / y,u)) != w | T(x,y * T(y \ z,u)) = w. [para(12537(a,1),5379(a,1))]. 12726 T(x,(T(y,z) * u) \ y) = T(x,T(y,z) \ (y / u)). [hyper(6978,a,12539,a)]. 12728 T(x,(T(y,z) * u) \ y) = T(x,u \ K(z,y)). [hyper(280,a,12339,a(flip),b,12726,a),flip(a)]. 12729 K(x,L(T(y,(T(z,u) * w) \ z),v5,v6)) = K(x,L(T(y,T(z,u) * (z / w)),v5,v6)). [para(12726(a,2),12142(a,1,2,1))]. 12731 T(x,K(T(y,z),u) * w) != v5 | T(x,K(u,y) * w) = v5. [para(12565(a,2),12360(a,1))]. 12732 K(x,(K(y,z) * u) * K(w,z)) = K(x,z * (T(T(z,w),y) \ u)). [hyper(12347,a,12575,a)]. 12735 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(1209(a,1),12665(a,1,2,2,1,1)),flip(a)]. 12736 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(58,a,10941,a(flip),b,12674,a),flip(a)]. 12737 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(58,a,12679,a(flip),b,12736,a),flip(a)]. 12738 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(12737(a,2),8417(a,2,2))]. 12739 T(K(x,y) * K(z,u),K(w,v5)) = K(z,u) * K(x,y). [para(12184(a,1),12692(a,2,2))]. 12740 K(x,y) * (K(z,u) * K(w,v5)) = (K(w,v5) * K(z,u)) * K(x,y). [para(12739(a,1),101(a,1,2))]. 12742 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(280,a,5339,a,b,12700,a),flip(a)]. 12743 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(12321,a,12702,a)]. 12744 K(x,K(y,z) * (u * K(w,z))) = K(x,z * (T(T(z,w),y) \ u)). [para(6839(a,1),12732(a,1,2))]. 12745 K(K(x,y),z) * (K(u,w) * K(v5,v6)) = (K(v5,v6) * K(u,w)) * K(x,K(y,z)). [para(5254(a,1),12740(a,2,2))]. 12746 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(12668,a,12742,a)]. 12747 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(67(a,1),12743(a,1,2,2,2,1,2)),flip(a)]. 12748 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(12743(a,1),12321(a,1))]. 12749 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(12746(a,2),12668(a,1))]. 12751 K(x,L(T(y,z * u),w,v5)) != v6 | K(x,L(T(y,u * z),w,v5)) = v6. [para(80(a,1),12676(a,1,2,1,2))]. 12753 K(x,L(T(y,z * (u / w)),v5,v6)) != v7 | K(x,L(T(y,z * (w \ u)),v5,v6)) = v7. [para(3137(a,1),12676(a,1,2,1,2))]. 12754 K(x,L(T(y,z * T(u,w)),v5,v6)) != v7 | K(x,L(T(y,z * u),v5,v6)) = v7. [para(3372(a,1),12676(a,1,2,1,2))]. 12756 K(x,L(T(y,z \ K(u,w)),v5,v6)) != v7 | K(x,L(T(y,z),v5,v6)) = v7. [para(12142(a,2),12676(a,1))]. 12757 x \ T(y * T(x,K(z,u)),K(u,z * x)) = T(y,x * K(u,z \ x)). [para(12496(a,1),12544(a,1,2))]. 12758 ((x \ 1) * K(y,z)) \ K(u,T(w,x)) = K(u,w) / ((x \ 1) * K(y,z)). [para(3427(a,1),12594(a,2,2))]. 12760 K(x,K(y,K(z,u) * w)) = (v5 * (K(v5,v6) * (w * K(x,y)))) \ (T(v5,v6) * (K(x,y) * w)). [para(4019(a,2),12634(a,2,1))]. 12761 T(T(x,K(y,z)),T(K(u,w) * y,v5)) = T(x,T(T(K(u,w) * y,v5),z)). [para(5355(a,1),12646(a,1,1))]. 12762 T(x,y * K(z,u \ y)) = T(x,y * K(z,y * u)). [hyper(58,a,12016,a(flip),b,12757,a),flip(a)]. 12763 K(x,T(y,z)) \ ((z \ 1) \ K(x,y)) = K(x,y) / ((z \ 1) * K(x,y)). [hyper(58,a,6638,a(flip),b,12758,a)]. 12764 T(T(x,K(y,z)),K(u,w) * y) = T(x,T(T(K(u,w) * y,K(v5,v6)),z)). [hyper(12219,a,12761,a)]. 12765 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(2920(a,1),12749(a,1,2,2,2,2))]. 12766 T(T(x,K(y,z)),T(y * z,u) / y) = T(x,y \ T(y * z,u)). [para(1360(a,1),12541(a,2,2))]. 12768 T(T(x,K(y,z)),y \ T(z * y,u)) = T(x,y \ T(y * z,u)). [hyper(58,a,5622,a(flip),b,12766,a)]. 12769 T(T(x,y \ T(y * z,u)),K(y,z) \ x) = T(x,y \ T(z * y,u)). [para(12768(a,1),970(a,1,1))]. 12770 T(T(x,K(y,z)),(y \ (z * y)) * K(u,z * y)) = T(x,y \ T(y * z,u \ (z * y))). [para(10663(a,1),12768(a,1,2))]. 12772 K(x,T(y * (z * (z / u)),K(z,u))) = K(x,y * T(z * (u \ z),T(z,w))). [para(6496(a,2),12563(a,1,2))]. 12773 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(280,a,12694,a(flip),b,12667,a),flip(a)]. 12775 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(280,a,5835,a(flip),b,12773,a),flip(a)]. 12776 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(12638,a,12775,a)]. 12778 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(12389,a,12701,a),flip(a)]. 12779 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(4355(a,1),12778(a,1,2,2,1))]. 12780 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(5661,a,12779,a)]. 12781 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(280,a,8336,a(flip),b,12780,a),flip(a)]. 12782 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(103(a,1),12780(a,1,2,2,2,2)),flip(a)]. 12783 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(12780(a,1),2950(a,1,1)),flip(a)]. 12784 K(K(x,y),z) * (K(u,w) * K(x,y)) != v5 | K(x,T(y,z)) * K(u,w) = v5. [para(12745(a,2),12282(a,1))]. 12785 K(x,y * T(z * (u \ z),T(z,w))) = K(x,y * (z * (z / u))). [hyper(12200,a,12772,a),flip(a)]. 12787 K(x,y * ((z \ u) * u)) = K(x,y * (u * (u / z))). [para(913(a,1),12785(a,1,2,2))]. 12788 K(x,K(y,z)) * K(x,y * (u * (u / z))) = K(x,((z \ u) * u) * y). [para(12787(a,1),12493(a,1,2))]. 12789 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(8321(a,1),12720(a,1,2))]. 12790 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [hyper(58,a,12169,a(flip),b,12789,a),flip(a)]. 12792 K(x,K(y,z)) * K(x,y * (u * (u / z))) = K(x,(u * (u / z)) * y). [para(12489(a,1),12658(a,1,1))]. 12793 K(x,((y \ z) * z) * u) = K(x,(z * (z / y)) * u). [hyper(58,a,12788,a(flip),b,12792,a)]. 12794 x \ T(y * (K(x,z) * T(x,K(u,w))),K(u,w)) = T(y,K(w,u) * x) * K(x,z). [para(4778(a,1),12688(a,1,2,1))]. 12795 K(x,L(T(y,(T(z,u) * w) \ z),v5,v6)) = K(x,L(T(y,z * (T(z,u) / w)),v5,v6)). [para(10774(a,1),12729(a,2,2,1,2))]. 12796 x \ T(y * T(K(x,z) * x,K(u,w)),K(u,w)) = T(y,K(w,u) * x) * K(x,z). [para(12683(a,2),12794(a,1,2,1,2))]. 12797 x \ T(y * T(T(x,z),K(u,w)),K(u,w)) = T(y,K(w,u) * x) * K(x,z). [para(2888(a,2),12796(a,1,2,1,2,1))]. 12798 K(x,y) * (T(z,K(u,w) * y) * K(y,x)) = T(z,K(w,u) * T(y,x)). [para(12797(a,1),11942(a,1,2))]. 12799 T(T(x,K(y,z) * u),K(u,w)) = T(x,K(z,y) * T(u,w)). [hyper(4302,a,12798,a)]. 12800 T(T(x,K(y,z)),K(u,w) * y) = T(x,K(w,u) * T(y,z)). [hyper(3162,a,12799,a)]. 12801 T(x,T(T(K(y,z) * u,K(w,v5)),v6)) = T(x,K(z,y) * T(u,v6)). [hyper(58,a,12764,a(flip),b,12800,a)]. 12802 T(x,K(y,z) * T(u,w)) != v5 | T(x,T(K(z,y) * u,w)) = v5. [para(12801(a,1),12258(a,1))]. 12803 T(x,T(y,z) * K(u,w)) != v5 | T(x,T(K(u,w) * y,z)) = v5. [para(12285(a,1),12802(a,1))]. 12804 T(x,T(K(y,z \ u) * u,z \ 1)) = T(x,K(y,z / u) \ T(u,z \ 1)). [hyper(12803,a,11502,a(flip))]. 12805 T(x,T(y * K(z,y / u),u \ 1)) = T(x,K(z,u / y) \ T(y,u \ 1)). [para(5491(a,1),12804(a,1,2,1))]. 12806 T(x,K(y,z / u) \ T(u,z \ 1)) = T(x,T(u * K(y,u / z),z)). [hyper(5609,a,12805,a),flip(a)]. 12807 K(x,K(y * z,u)) * K(x,(y * (z * u)) / u) = K(x,T(u,z) \ (y * (u * z))). [para(6872(a,1),12400(a,1,1,2))]. 12808 K(x,K(y,z * u)) * K(x,(z * (u * y)) / y) = K(x,T(y,u) \ (z * (y * u))). [para(5298(a,1),12807(a,1,1))]. 12809 K(x,T(y,z) \ (u * (y * z))) = K(x,y \ (u * (z * y))). [hyper(58,a,5912,a(flip),b,12808,a),flip(a)]. 12810 (x * (K(y,z) * u)) / K(z,T(y,u)) = (x * ((K(y,z * z) * u) * K(z,y))) / K(z,y). [para(3631(a,2),12437(a,1,2))]. 12812 T(T(x,y * K(z / y,u)),K(w,K(u,y \ z) * y)) = T(x,T(y / K(u,z / y),w)). [para(4323(a,1),12503(a,1,1,2))]. 12813 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(5205(a,1),12510(a,1,2)),flip(a)]. 12814 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(280,a,4,a(flip),b,12813,a),flip(a)]. 12815 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(3864,a,12814,a),flip(a)]. 12817 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(12814(a,1),3864(a,1))]. 12818 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(7566(a,1),12815(a,1,1,1,2,1,2))]. 12819 K(x,((T(y,K(z,u)) / w) * v5) \ y) != v6 | K(x,y \ ((T(y,K(z,u)) / v5) * w)) = v6. [para(12523(a,1),12551(a,1))]. 12820 T(T(x,K(y,z)),T(z,y) * K(u,z * y)) = T(x,y \ T(y * z,u \ (z * y))). [para(17(a,2),12770(a,1,2,1))]. 12821 T(T(x,K(y,z)),T(K(u,z * y) * z,y)) = T(x,y \ T(y * z,u \ (z * y))). [hyper(12803,a,12820,a)]. 12822 T(T(x,K(y,z)),T(z * K(u,y * z),y)) = T(x,y \ T(y * z,u \ (z * y))). [para(3787(a,1),12821(a,1,2,1))]. 12823 (x * ((K(y,z * z) * u) * K(z,y))) / K(z,y) = (x * (K(y,z) * u)) * K(y,T(z,u)). [hyper(4455,a,12810,a),flip(a)]. 12824 T(T(x,y * K(z,y / u)),K(w,K(z,y \ u) * y)) = T(x,T(y / K(z,u / y),w)). [para(3573(a,1),12812(a,1,1,2,2))]. 12825 T(T(x,y * K(z,u \ y)),K(w,K(z,y \ u) * y)) = T(x,T(y / K(z,u / y),w)). [para(12558(a,1),12824(a,1,1))]. 12826 T(T(x,y * K(z,y * u)),K(w,K(z,y \ u) * y)) = T(x,T(y / K(z,u / y),w)). [para(12762(a,1),12825(a,1,1))]. 12827 T(T(x,y * K(z,y * u)),K(w,y)) = T(x,T(y / K(z,u / y),w)). [hyper(12644,a,12826,a)]. 12828 T(x,T(y / K(z,u / y),w)) = T(x,T(K(z,y * u) * y,w)). [hyper(12645,a,12827,a),flip(a)]. 12830 T(x,T(y / K(z,u / y),w)) = T(x,T(y * K(z,u * y),w)). [para(3787(a,1),12828(a,2,2,1))]. 12831 T(x,T(y * K(z / y,u),w)) = T(x,T(y * K(u,z * y),w)). [para(4323(a,1),12830(a,1,2,1))]. 12832 T(x,T(y * K(z,y / u),w)) = T(x,T(y * K(z,u * y),w)). [para(3573(a,1),12831(a,1,2,1,2))]. 12833 T(x,K(y,z / u) \ T(u,z \ 1)) = T(x,T(u * K(y,z * u),z)). [hyper(58,a,12806,a,b,12832,a)]. 12834 T(x,K(y / z,u) * T(z,y \ 1)) = T(x,T(z * K(u,y * z),y)). [para(4271(a,1),12833(a,1,2))]. 12835 T(x,K(y,z / u) * T(z,u \ 1)) = T(x,T(z * K(y,u * z),u)). [para(3573(a,1),12834(a,1,2,1))]. 12836 T(x,T(y * K(z,u * y),u)) = T(x,K(z,y / u) * T(y,u)). [hyper(58,a,11980,a(flip),b,12835,a),flip(a)]. 12837 T(x,T(K(y / z,u) * y,z)) = T(x,T(y * K(u,z * y),z)). [hyper(12802,a,12836,a(flip))]. 12838 T(x,T(K(y,z / u) * u,z)) = T(x,T(u * K(y,z * u),z)). [para(3573(a,1),12837(a,1,2,1,1))]. 12839 T(x,T(y * K(z,y \ u),u)) = T(x,T(y * K(z,u * y),u)). [para(3784(a,1),12838(a,1,2,1))]. 12840 T(x,T(y * K(z,u * y),u)) = T(x,T(u \ y,z) * u). [para(3891(a,1),12839(a,1,2)),flip(a)]. 12841 T(x,T(y * K(z,u * y),u)) = T(x,u * T(y / u,z)). [hyper(280,a,5627,a(flip),b,12840,a),flip(a)]. 12842 T(T(x,K(y,z)),y * T(z / y,u)) = T(x,y \ T(y * z,u \ (z * y))). [hyper(58,a,12822,a(flip),b,12841,a),flip(a)]. 12843 T(x,y \ T(y * z,u \ (z * y))) = T(x,y * T(y \ z,u)). [hyper(12725,a,12842,a),flip(a)]. 12844 T(x,y \ T(y * z,u \ 1)) = T(x,y * T(y \ z,u)). [para(3567(a,1),12843(a,1,2,2))]. 12845 T(x,y \ T(y * z,u)) = T(x,y * T(y \ z,u)). [hyper(58,a,12004,a(flip),b,12844,a)]. 12846 T(T(x,y * T(y \ z,u)),K(y,z) \ x) = T(x,y \ T(z * y,u)). [para(12845(a,1),12769(a,1,1))]. 12847 T(T(x,y * T(y \ z,u)),K(z,y) * x) = T(x,y \ T(z * y,u)). [para(4271(a,1),12846(a,1,2))]. 12848 T(T(x,K(y,z)),z * T(z \ y,u)) = T(x,z \ T(y * z,u)). [hyper(58,a,768,a(flip),b,12847,a)]. 12849 T(T(x,K(y,z)),y * T(y \ z,u)) = T(x,y \ T(z * y,u)). [para(5355(a,1),12848(a,1,1))]. 12850 T(x,y \ T(z * y,u)) = T(x,y * T(z / y,u)). [hyper(58,a,12723,a(flip),b,12849,a),flip(a)]. 12851 T(x,T(y * z,u) / y) = T(x,y * T(z / y,u)). [hyper(5695,a,12850,a)]. 12852 K(x \ (y \ 1),L(T(z,y * T(u / y,w)),y \ 1,T((y \ 1) \ u,w))) = K(z,(T((y \ 1) \ u,w) * x) / (T((y \ 1) \ u,w) * (y \ 1))). [para(12851(a,1),9604(a,1,2,1))]. 12853 K(x,K(y,z * u)) * K(y,(z * (w * (u / w))) \ x) = K(y,x / (z * (w * (u / w)))). [para(12612(a,1),12673(a,1,1))]. 12855 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(4(a,1),12735(a,1,2,2,1,1)),flip(a)]. 12856 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(12353,a,12855,a)]. 12858 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(24(a,1),12856(a,1,2,2,2))]. 12859 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(8356(a,1),12738(a,1,1))]. 12860 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(12713,a,10636,a(flip))]. 12861 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(12158(a,1),12860(a,2,3))]. 12862 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(58,a,12616,a(flip),b,12861,a)]. 12864 K(x,K(y,z * u)) * K(x,(y \ 1) * (u * (z \ 1))) = K(x,(u * (z \ 1)) * (y \ 1)). [para(10718(a,1),12490(a,1,2,2))]. 12865 K(x,K(y,z * u)) * K(x,y \ (u * (z \ 1))) = K(x,(u * (z \ 1)) * (y \ 1)). [para(10519(a,1),12864(a,1,2))]. 12866 K(x,K(y,z * u)) * K(x,y \ (u * (z \ 1))) = K(x,(u * (z \ 1)) / y). [hyper(280,a,10517,a(flip),b,12865,a),flip(a)]. 12867 K(x,K(y,z * u)) * K(y,x \ (u * (z \ 1))) = K(y,(u * (z \ 1)) / x). [para(5277(a,1),12866(a,1,1))]. 12868 K(x,y) * (z \ ((z / K(x,y)) * L(K(x,y),u,w))) = (T(y,L(x,u,w)) \ K(y,x)) * (x * (y / x)). [para(11231(a,1),12680(a,2,1))]. 12869 (T(x,L(y,z,u)) \ K(x,y)) * (y * (x / y)) = K(y,x) * (K(y,L(x,z,u)) * K(x,y)). [para(9785(a,1),12868(a,1,2)),flip(a)]. 12870 (T(x,L(y,z,u)) \ K(x,y)) * (y * (x / y)) = K(y,L(x,z,u)). [hyper(280,a,12194,a(flip),b,12869,a),flip(a)]. 12873 K(x,(y * (z \ y)) * (u / ((y * (z \ y)) * (y \ 1)))) = K(x,(y * (y / z)) * (u / L(z \ y,y,y \ 1))). [para(671(a,1),12406(a,1,2,2,2)),flip(a)]. 12874 K(x,T(y * ((z \ 1) * (u / z)),(u / ((z \ 1) \ 1)) * z)) = K(x,((((z \ 1) \ 1) \ u) * (z \ 1)) * y). [para(378(a,1),12455(a,1,2,1,2,2,2))]. 12875 K(x,T(y * ((z \ 1) * (u / z)),(u / z) * z)) = K(x,((((z \ 1) \ 1) \ u) * (z \ 1)) * y). [para(378(a,1),12874(a,1,2,2,1,2))]. 12876 K(x,((((y \ 1) \ 1) \ z) * (y \ 1)) * u) = K(x,((y \ 1) * (z / y)) * u). [hyper(12454,a,12875,a),flip(a)]. 12877 K(x,((y \ 1) * (z / y)) * u) = K(x,((y \ z) * (y \ 1)) * u). [para(378(a,1),12876(a,1,2,1,1,1)),flip(a)]. 12878 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(10221(a,1),12818(a,1,1,1))]. 12879 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(12817,a,12878,a),flip(a)]. 12880 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(280,a,12599,a,b,12879,a),flip(a)]. 12881 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(58,a,12782,a,b,12880,a)]. 12882 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(12350,a,12881,a),flip(a)]. 12883 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(12882(a,1),12783(a,2,1))]. 12884 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(280,a,2950,a(flip),b,12883,a),flip(a)]. 12885 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(12884(a,1),8445(a,1,1))]. 12886 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(58,a,8445,a(flip),b,12885,a),flip(a)]. 12887 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(12886(a,1),12083(a,1,1,1)),flip(a)]. 12888 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(280,a,12083,a(flip),b,12887,a),flip(a)]. 12889 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(280,a,3638,a(flip),b,12888,a),flip(a)]. 12890 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(4739,a,12889,a)]. 12891 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(58,a,12780,a(flip),b,12890,a)]. 12892 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(58,a,12781,a(flip),b,12891,a),flip(a)]. 12893 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(58,a,8336,a(flip),b,12892,a)]. 12894 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(100(a,1),12893(a,1,2,2,1,1)),flip(a)]. 12896 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(58,a,12599,a(flip),b,12894,a)]. 12897 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(280,a,5264,a,b,12896,a)]. 12898 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(29,a,12650,a,b,12897,a)]. 12899 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(5398,a,12898,a)]. 12900 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(58,a,12647,a(flip),b,12898,a),flip(a)]. 12901 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(58,a,12622,a(flip),b,12898,a),flip(a)]. 12902 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(12898(a,1),12657(a,1,1))]. 12903 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(12321,a,12901,a)]. 12904 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(5(a,1),12903(a,1,2,2,2,2)),flip(a)]. 12905 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(5915,a,12902,a),flip(a)]. 12906 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(58,a,12708,a(flip),b,12905,a),flip(a)]. 12907 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(70(a,1),12905(a,1,2,1,2)),flip(a)]. 12908 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(12323,a,12907,a)]. 12909 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(5(a,1),12906(a,2,2,2,2))]. 12910 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(280,a,12619,a,b,12909,a),flip(a)]. 12911 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(12909(a,2),12669(a,1))]. 12912 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(58,a,12908,a(flip),b,12910,a)]. 12913 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(12910(a,2),12669(a,1))]. 12914 K(x,K((y / z) / u,L(w,z,y))) != v5 | K(x,K(w,(y * (1 / u)) / z)) = v5. [para(10605(a,1),12911(a,1,2))]. 12915 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(6224(a,2),12912(a,2,2,2,1))]. 12916 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(12914,a,12912,a),flip(a)]. 12917 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(10607(a,1),12915(a,1,2))]. 12918 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(12911,a,12917,a),flip(a)]. 12920 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(58,a,12899,a(flip),b,12918,a)]. 12921 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(12711,a,12920,a)]. 12922 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(58,a,12747,a,b,12921,a)]. 12923 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(58,a,12743,a(flip),b,12921,a),flip(a)]. 12924 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(12748,a,12922,a)]. 12925 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(12656,a,12923,a)]. 12926 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(58,a,12916,a,b,12923,a)]. 12927 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(58,a,12272,a(flip),b,12923,a),flip(a)]. 12928 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(58,a,11286,a,b,12925,a)]. 12929 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(374(a,1),12925(a,1,2,2))]. 12930 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(11596(a,1),12925(a,1,2,2,2,1)),flip(a)]. 12931 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(12656,a,12926,a)]. 12932 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(58,a,11524,a(flip),b,12928,a)]. 12933 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(12404(a,1),12929(a,1,2)),flip(a)]. 12934 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(280,a,12931,a(flip),b,12930,a),flip(a)]. 12936 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(58,a,12924,a(flip),b,12934,a)]. 12937 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(12669,a,12936,a)]. 12939 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(58,a,12706,a(flip),b,12936,a)]. 12940 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(5398,a,12939,a)]. 12941 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(101(a,1),12939(a,1,2,2,2)),flip(a)]. 12942 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(58,a,12862,a(flip),b,12940,a),flip(a)]. 12943 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(12265,a,12942,a)]. 12944 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(280,a,11257,a,b,12942,a),flip(a)]. 12945 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(12942(a,1),5296(a,1))]. 12946 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(7(a,1),12943(a,1,2,2,2,2))]. 12947 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(12711,a,12941,a),flip(a)]. 12948 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(12765,a,12947,a)]. 12949 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(58,a,12790,a(flip),b,12948,a),flip(a)]. 12950 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(7(a,1),12944(a,2,2))]. 12951 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(280,a,5347,a(flip),b,12933,a),flip(a)]. 12952 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(58,a,12903,a(flip),b,12951,a),flip(a)]. 12954 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(280,a,12899,a(flip),b,12952,a),flip(a)]. 12955 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(12716,a,12954,a)]. 12956 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(243(a,1),12954(a,1,2,2,2))]. 12957 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(280,a,12613,a(flip),b,12956,a),flip(a)]. 12959 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(58,a,12858,a(flip),b,12957,a),flip(a)]. 12961 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(96(a,1),12959(a,1,2,2)),flip(a)]. 12962 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(12722,a,12961,a)]. 12963 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(12642,a,12962,a),flip(a)]. 12964 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(12399,a,12962,a)]. 12965 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(12642,a,12963,a),flip(a)]. 12966 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(12719,a,12965,a),flip(a)]. 12967 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(12716,a,12965,a)]. 12968 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(58,a,12927,a(flip),b,12965,a),flip(a)]. 12969 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(58,a,12955,a(flip),b,12968,a)]. 12970 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(280,a,12703,a(flip),b,12966,a),flip(a)]. 12971 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(280,a,8811,a(flip),b,12964,a),flip(a)]. 12972 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(280,a,12937,a(flip),b,12971,a),flip(a)]. 12973 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(5398,a,12972,a)]. 12974 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(10449(a,1),12973(a,1,2)),flip(a)]. 12975 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(3373(a,1),12970(a,1,2,2,2))]. 12976 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(12712,a,12975,a)]. 12978 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(58,a,12976,a(flip),b,12969,a)]. 12979 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(58,a,12949,a(flip),b,12978,a),flip(a)]. 12980 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(58,a,11402,a(flip),b,12979,a)]. 12981 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(280,a,10891,a,b,12974,a),flip(a)]. 12982 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(12322,a,12709,a),flip(a)]. 12984 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [para(11108(a,1),12982(a,2,2))]. 12985 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(280,a,12776,a(flip),b,12984,a),flip(a)]. 12986 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(12749,a,12985,a)]. 12988 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(58,a,12662,a(flip),b,12986,a)]. 12989 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(58,a,12629,a(flip),b,12988,a),flip(a)]. 12990 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(9457,a,12989,a)]. 12992 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(10555(a,1),12989(a,1,2,2,2))]. 12993 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(280,a,10899,a,b,12990,a),flip(a)]. 12994 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(280,a,12980,a(flip),b,12992,a),flip(a)]. 12995 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(12994(a,1),12859(a,1,1)),flip(a)]. 12996 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(10900,a,12993,a)]. 12997 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(2796(a,1),12996(a,1,2))]. 12998 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(2865(a,1),12996(a,1,2))]. 12999 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(58,a,9447,a(flip),b,12998,a),flip(a)]. 13000 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(5281(a,2),12999(a,2,3))]. 13001 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(8819(a,1),13000(a,2,3))]. 13002 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(5(a,1),13001(a,1,3,2,2))]. 13003 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(5281(a,1),13002(a,1,3))]. 13004 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(5(a,1),13003(a,2,3,2,2))]. 13005 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(5281(a,1),13004(a,2,3))]. 13006 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(70(a,1),13005(a,1,2,2))]. 13007 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(5281(a,2),13006(a,1,3))]. 13008 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(5281(a,2),13007(a,2,3))]. 13009 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(58,a,10845,a,b,13008,a)]. 13010 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(5298(a,1),13009(a,2,3))]. 13011 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(5297(a,1),12995(a,2,2))]. 13013 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(280,a,9130,a(flip),b,13011,a),flip(a)]. 13014 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(8417(a,1),13013(a,2,1))]. 13015 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(280,a,11264,a(flip),b,13014,a),flip(a)]. 13016 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(12737(a,1),13015(a,1,2))]. 13017 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(5297(a,1),13016(a,1,3))]. 13018 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(9573,a,13017,a)]. 13019 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(155(a,1),13018(a,1,2,1))]. 13020 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(58,a,12981,a,b,13019,a)]. 13021 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(58,a,13010,a(flip),b,13019,a)]. 13022 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(280,a,10846,a,b,13021,a),flip(a)]. 13023 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(5281(a,1),13020(a,2,3))]. 13024 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(4682(a,1),13023(a,1,2,2,2,1))]. 13025 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(379(a,1),13024(a,1,2,2,2,1,2))]. 13026 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(10672(a,1),13025(a,1,2))]. 13027 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(4481(a,1),13026(a,1,2,2,1))]. 13028 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [hyper(58,a,12967,a(flip),b,13027,a)]. 13029 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(12666,a,13028,a)]. 13030 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(4348(a,1),13029(a,2,3,2))]. 13031 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(12608(a,1),13030(a,2,3))]. 13032 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(58,a,12946,a(flip),b,13031,a)]. 13034 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(67(a,1),13032(a,1,3,2,1))]. 13035 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(12904(a,1),13034(a,1,3))]. 13036 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(5277(a,1),13035(a,1,3))]. 13037 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(12661(a,1),13036(a,1,3))]. 13038 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(58,a,11255,a(flip),b,13037,a),flip(a)]. 13039 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(5298(a,1),13038(a,1,3))]. 13040 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(58,a,12997,a,b,13039,a)]. 13041 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(58,a,13022,a(flip),b,13040,a),flip(a)]. 13042 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(5277(a,1),13041(a,2,3))]. 13043 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(12945,a,13042,a)]. 13044 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(5281(a,2),13043(a,2,3))]. 13045 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(58,a,12950,a(flip),b,13044,a)]. 13046 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(5339(a,1),13045(a,1,3))]. 13047 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(5298(a,1),13046(a,2,3))]. 13048 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(58,a,13042,a(flip),b,13047,a),flip(a)]. 13049 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(13048(a,1),10894(a,1,1))]. 13050 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(5277(a,1),13049(a,1,2))]. 13051 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(11393,a,13050,a),flip(a)]. 13052 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(5916,a,13051,a)]. 13053 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(280,a,12932,a(flip),b,13052,a),flip(a)]. 13054 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(827(a,1),13052(a,1,2,2)),flip(a)]. 13055 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(3332(a,1),13052(a,1,2)),flip(a)]. 13056 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(12913,a,13053,a)]. 13057 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(13055(a,2),5394(a,1))]. 13058 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(280,a,12152,a,b,13054,a),flip(a)]. 13059 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(280,a,13056,a(flip),b,13058,a),flip(a)]. 13060 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(280,a,12900,a(flip),b,13059,a),flip(a)]. 13063 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(5520(a,1),13060(a,2,2))]. 13064 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(280,a,12146,a(flip),b,13063,a),flip(a)]. 13067 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(58,a,11524,a(flip),b,13064,a)]. 13068 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(13057,a,13067,a),flip(a)]. 13071 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(8353(a,1),13068(a,1,2)),flip(a)]. 13073 K(x,K(y,L(z,u,w))) = K(x,K(z,y)). [hyper(280,a,5348,a(flip),b,13071,a),flip(a)]. 13074 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(280,a,5347,a(flip),b,13071,a),flip(a)]. 13075 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(280,a,5274,a(flip),b,13071,a),flip(a)]. 13077 K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. [para(13071(a,2),5394(a,1))]. 13082 K(x,K(y,L(z,u,w))) = K(y,K(x,z)). [hyper(280,a,5281,a(flip),b,13073,a),flip(a)]. 13083 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(58,a,13051,a,b,13073,a)]. 13086 K(x,K(y,z * u)) * K(x,L(T(y,z),z,u)) = K(x,(u * (y * z)) / (u * z)). [para(13073(a,1),7254(a,1,1))]. 13090 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,v5,v6))). [hyper(280,a,13073,a,b,13074,a)]. 13094 K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). [para(569(a,1),13074(a,1,2,2)),flip(a)]. 13095 T(x,K(y,L(z,u,w))) = K(y,K(x,z)) * x. [para(13074(a,1),5287(a,1,1)),flip(a)]. 13096 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(13074(a,1),5829(a,1,2))]. 13097 (x * y) * K(z,K(u,w)) != v5 | x * (y * K(z,K(u,w))) = v5. [para(13074(a,1),5830(a,1,2))]. 13101 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(13074(a,1),12278(a,1,1))]. 13107 K(x,K(y,z)) * (T(K(x,L(z,u,w)),y) * v5) = K(x,L(z,u,w)) * v5. [para(13082(a,1),4275(a,1,1))]. 13113 a(x,y,K(z,K(u,w))) = 1. [hyper(48,a,13083,a)]. 13114 x * ((x \ y) * K(z,K(u,w))) = y * K(z,K(u,w)). [para(13083(a,1),548(a,1,2)),flip(a)]. 13115 x * K(y,K(z,u)) != w * (v5 * K(y,K(z,u))) | w * v5 = x. [para(13083(a,1),253(a,1,2))]. 13116 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(13083(a,1),11074(a,1,1)),flip(a)]. 13117 a(x,y,K(K(z,u),w)) = 1. [hyper(10791,a,13113,a)]. 13121 K(x,K(y,a(z,u,w))) = 1. [hyper(58,a,10891,a(flip),b,13113,a)]. 13124 T((x * y) \ ((x * (y * z)) / z),K(u,w)) = 1 * ((x * y) \ ((x * (y * z)) / z)). [para(13117(a,1),10639(a,1,1)),flip(a)]. 13131 T(x,K(y,a(z,u,w))) = x. [hyper(51,a,13121,a)]. 13133 K(x,K(y,L(z,u,w) \ z)) = 1. [para(9655(a,2),13121(a,1,2))]. 13135 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(6964,a,13131,a)]. 13141 T(x,K(y,L(z,u,w) \ z)) = x. [para(9655(a,2),13131(a,1,2))]. 13142 T(x,a(y,z,K(u,w))) = x. [para(9664(a,2),13131(a,1,2))]. 13143 x / a(y,z,K(u,w)) = a(y,z,K(u,w)) \ x. [hyper(6107,a,13142,a),flip(a)]. 13144 a(x,y,K(z,u)) / w = w \ a(x,y,K(z,u)). [hyper(1059,a,13142,a),flip(a)]. 13145 (a(x,y,K(z,u)) \ w) * a(x,y,K(z,u)) = w. [hyper(1022,a,13142,a)]. 13146 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(1021,a,13142,a),flip(a)]. 13147 a(x,y,K(z,u)) * (w / a(x,y,K(z,u))) = w. [hyper(948,a,13142,a)]. 13149 L(x,y,K(z,K(u,w))) = x. [hyper(58,a,11783,a(flip),b,13142,a),flip(a)]. 13150 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(49,a,13142,a)]. 13151 T(x,a(y,z,K(u,w))) != v5 | x = v5. [para(13142(a,1),44(a,2))]. 13152 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(13142(a,1),259(a,1,2))]. 13153 a(x,y,K(z,u)) / w != v5 | w \ a(x,y,K(z,u)) = v5. [para(13142(a,1),431(a,1,2))]. 13154 x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. [para(13142(a,1),916(a,1)),flip(a)]. 13155 x * (a(y,z,K(u,w)) * v5) = x * (v5 * a(y,z,K(u,w))). [para(13142(a,1),914(a,1,2))]. 13156 T(x,L(y,z,K(u,w))) = T(x,y). [para(13142(a,1),10860(a,1,1)),flip(a)]. 13157 L(x,a(y,z,K(u,w)),v5) * (v5 * a(y,z,K(u,w))) = (x * a(y,z,K(u,w))) * v5. [para(13142(a,1),11104(a,2,2))]. 13158 a(x,y,K(z,L(u,a(x,y,K(z,u)) \ w,v5))) = (v5 * (a(u,y,K(z,x)) * w)) \ (v5 * w). [para(13142(a,1),10849(a,1,2,2)),flip(a)]. 13160 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(6449,a,13149,a)]. 13162 T(L(x,y,K(z,u)) * w,x) = w * L(x,y,K(z,u)). [hyper(58,a,11796,a(flip),b,13149,a)]. 13164 L(x,y,K(z,K(u,w))) != v5 | v5 = x. [para(13149(a,1),45(a,1)),flip(a)]. 13165 L(x,y,K(z,K(u,w))) != v5 | x = v5. [para(13149(a,1),45(a,2))]. 13166 x \ (y * K(z,K(u,w))) = (x \ y) * K(z,K(u,w)). [para(13149(a,1),11081(a,1,1))]. 13167 (K(x,K(y,z)) * (u * w)) / (K(x,K(y,z)) * u) = K(u,w) * w. [para(13149(a,1),12548(a,2,2))]. 13168 K(x,K(y,z * L(z,u,w))) = 1. [hyper(12484,a,13133,a)]. 13169 T(L(x,y,z) \ x,K(u,w)) = (L(x,y,z) \ x) * 1. [para(13133(a,1),5255(a,1,2)),flip(a)]. 13170 T(K(x,y),a(z,u,w)) = K(x,y). [hyper(5648,a,13135,a)]. 13173 K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). [para(13135(a,1),3647(a,1,2)),flip(a)]. 13175 K(x,y) * (T(x,a(z,u,w)) * v5) = T(T(x,a(z,u,w)),y) * v5. [para(13135(a,1),4067(a,1,1))]. 13177 K(x,T(y,a(z,u,w))) != v5 | K(x,y) = v5. [para(13135(a,1),5514(a,1))]. 13178 K(x,a(y,z,u) * w) != v5 | K(x,w * a(y,z,u)) = v5. [para(13135(a,1),5660(a,1))]. 13179 K(x,T(y,L(z,u,w) \ z)) = K(x,y). [para(9657(a,2),13135(a,1,2))]. 13180 K(x,L(y,z,K(u,w))) = K(x,y). [para(11747(a,2),13135(a,1,2))]. 13181 T(x,K(y,z * L(z,u,w))) = x. [hyper(12501,a,13141,a)]. 13182 T(x,K(y,z * L(z \ 1,u,w))) = x. [hyper(10642,a,13141,a)]. 13183 T(x,T(L(y,z,u) \ y,w)) = T(x,L(y,z,u) \ y). [hyper(5808,a,13141,a)]. 13184 T(((K(x,y) * z) / (z * u)) * z,u) = L(u,z,K(x,y)) \ (K(x,y) * z). [hyper(1393,a,13156,a),flip(a)]. 13185 T(x / L(y,z,K(u,w)),y) = L(y,z,K(u,w)) \ x. [hyper(352,a,13156,a),flip(a)]. 13188 T(x,(K(y,z) * u) \ w) = T(x,u \ (K(z,y) * w)). [para(4287(a,1),13156(a,1,2))]. 13189 T(x,L(y,z,T(u,w))) = T(x,L(y,z,u)). [para(6448(a,1),13156(a,1,2))]. 13190 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [para(11779(a,1),13156(a,1,2))]. 13191 K(x,K(y,z * (u * (z * u)))) = 1. [para(86(a,1),13168(a,1,2,2))]. 13193 T(a(x,y,z),K(u,w)) = a(x,y,z). [hyper(49,a,13170,a)]. 13195 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(9544,a,13180,a)]. 13196 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(6448(a,1),13180(a,1,2))]. 13197 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(13180(a,1),9396(a,1,2))]. 13198 (K(x,y) * z) * K(u,w) != v5 | K(x,y) * (z * K(u,w)) = v5. [para(13180(a,1),9397(a,1,2))]. 13199 K(x,L(y,z,a(u,w,K(v5,v6)))) = K(x,y). [para(9552(a,1),13180(a,1,2,3))]. 13200 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [para(11779(a,1),13180(a,1,2))]. 13201 K(x,T(L(y,z,u) * w,y)) = K(x,w * L(y,z,u)). [para(11796(a,1),13180(a,1,2))]. 13202 T(x,K(y,z * (u * (z * u)))) = x. [para(86(a,1),13181(a,1,2,2))]. 13204 L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). [hyper(58,a,9154,a(flip),b,13160,a),flip(a)]. 13205 L(x,y,T(z,T(u,w))) = L(x,y,T(z,u)). [para(5748(a,1),13160(a,1,3))]. 13206 ((x * K(y,z)) / u) * L(u,K(y,z),x) = T(u \ ((u * K(y,z)) * x),K(y,z)). [para(13160(a,1),12113(a,1,2))]. 13207 L(x,y,T(z,K(u,w))) != v5 | L(x,y,z) = v5. [para(6448(a,1),13164(a,1)),flip(b)]. 13208 T(a(x,y,z),u / w) = T(a(x,y,z),w \ u). [para(13193(a,1),6967(a,1,1))]. 13209 T(a(x,y,z),u / w) != v5 | T(a(x,y,z),w \ u) = v5. [para(13193(a,1),6968(a,1,1))]. 13210 T(K(x,y) * a(z,u,w),K(v5,v6)) = K(x,y) * a(z,u,w). [para(13193(a,1),12683(a,2,2))]. 13211 K(x,T(y * (z * (y * z)),u)) = K(x,y * (z * (y * z))). [hyper(12402,a,13202,a)]. 13212 T(x,T(y * (z * (y * z)),u)) = T(x,y * (z * (y * z))). [hyper(5808,a,13202,a)]. 13213 K(x,T(y,z \ L(z,u,w))) = K(x,y). [hyper(5559,a,13179,a)]. 13214 (x / T(T(y,L(z,u,w) \ z),v5)) \ (x * K(v5,y)) = T(y,L(z,u,w) \ z). [para(13179(a,1),4400(a,1,2,2))]. 13215 x \ T(T(x,L(y,z,u) \ y),w) = K(x,w) * K(x,L(y,z,u) \ y). [para(13179(a,1),4628(a,1,1)),flip(a)]. 13216 K(x,(L(y,z,u) \ y) \ w) != v5 | K(x,w / (L(y,z,u) \ y)) = v5. [para(13179(a,1),5553(a,1))]. 13217 L(T(x,L(y,z,u) \ y) \ 1,T(x,L(y,z,u) \ y),w) * K(v5,x) = L(T(T(x,L(y,z,u) \ y) \ 1,v5),T(x,L(y,z,u) \ y),w). [para(13179(a,1),9570(a,1,2))]. 13218 K(x,T(y * L(y \ 1,z,u),w)) = K(x,y * L(y \ 1,z,u)). [hyper(12402,a,13182,a)]. 13219 T(x,L(y,z,u)) \ K(T(x,L(y,z,u)),y) = T(T(x \ 1,L(y,z,u)),T(y \ x,y)). [hyper(58,a,7276,a(flip),b,13190,a)]. 13220 T(x,T(y * L(z,u,w),z)) != v5 | T(x,L(z,u,w) * y) = v5. [para(13190(a,1),5680(a,1))]. 13221 K(x,T(y,(z / u) / w)) = K(x,T(y,(w * u) \ z)). [hyper(12357,a,13200,a),flip(a)]. 13222 K(x * L(y,z,u),T(w,y)) = K(L(y,z,u) * x,w). [hyper(5563,a,13200,a),flip(a)]. 13224 K(x,T((y * (z * u)) / u,(y * z) / u)) = K(u / (y * (z * u)),T(x,u)). [hyper(58,a,11658,a,b,13200,a)]. 13225 K(x,T(y,(z \ u) \ w)) = K(x,T(y,u \ (z * w))). [para(569(a,1),13200(a,1,2,2)),flip(a)]. 13226 L(x,y,z) * K(u,T(w,x)) = K(u,w) * L(x,y,z). [para(13200(a,1),3647(a,1,2))]. 13227 L(x,y,z) * K(u,T(w,x)) != v5 | K(u,w) * L(x,y,z) = v5. [para(13200(a,1),3648(a,1,2))]. 13228 K(x,T(y,z)) * L(z,u,w) = L(z,u,w) * K(x,y). [para(13200(a,1),5433(a,1,1))]. 13229 L(K(x,y) * (z \ 1),u,w) * (K(y,T(x,(z \ 1) * K(x,y))) * z) = (K(y,x) * z) * L((K(y,x) * z) \ 1,u,w). [para(13200(a,1),9861(a,1,2,1))]. 13231 K(x,T(y \ L(y,z,u),w) * v5) = K(x,v5 * T(y \ L(y,z,u),w)). [hyper(12245,a,13213,a),flip(a)]. 13233 T(a(x,y,a(z,u,K(w,v5))),v6) = a(x,y,K(a(z,u,w),v5)). [para(9700(a,2),13150(a,1,1,3))]. 13234 (a(x,y,K(z,u)) * w) * T(v5,w) = v5 * (w * a(x,y,K(z,u))). [para(13150(a,1),11146(a,1,2,2)),flip(a)]. 13235 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(13150(a,1),11375(a,1,1)),flip(a)]. 13236 K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. [para(11747(a,2),13177(a,1,2))]. 13237 T(x,L(y,z,u * w)) = T(x,L(y,z,w * u)). [para(897(a,1),13189(a,1,2,3))]. 13238 K(x,L(y \ (z \ u),y,T(u,z))) = K(x,(T(T(u,z),w) * y) \ ((z \ u) * T(u,w))). [hyper(58,a,5996,a(flip),b,13196,a),flip(a)]. 13239 K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). [para(103(a,1),13196(a,1,2,3)),flip(a)]. 13240 K(x,L(y,z,L(u,w,K(v5,v6)))) = K(x,L(y,z,u)). [para(11747(a,2),13196(a,1,2,3))]. 13241 (K(x,y) * z) * a(u,w,K(v5,v6)) = K(x,y) * (z * a(u,w,K(v5,v6))). [para(13199(a,1),11090(a,1,1)),flip(a)]. 13242 L(x,T(y,z),T(u,y)) = L(x,T(y,z),u). [hyper(6916,a,13205,a),flip(a)]. 13243 K(x,L(L(y,z,K(u,w)),v5,v6)) != v7 | K(x,L(y,v5,v6)) = v7. [para(25(a,1),13236(a,1,2))]. 13244 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (K(z,y) * w)) = v5. [para(4287(a,1),13236(a,1,2))]. 13245 K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. [para(6448(a,1),13236(a,1,2))]. 13247 K(x,L(y,z,a(u,w,K(v5,v6)))) != v7 | K(x,y) = v7. [para(9552(a,1),13236(a,1,2,3))]. 13248 (x * y) * L(z,T(y,u),K(u,y) * x) = (x * K(u,y)) * (T(y,u) * z). [para(13242(a,1),6777(a,1,2))]. 13249 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [hyper(280,a,5287,a(flip),b,13095,a),flip(a)]. 13250 T(x * K(y,L(z,u,w)),K(y,z)) = K(y,L(z,u,w)) * x. [hyper(5372,a,13249,a),flip(a)]. 13251 K(x,L(y,z,u)) * (w * K(y,L(x,z,u))) = T(w,K(x,y)). [hyper(58,a,9536,a,b,13249,a)]. 13253 T(x,K(y,z)) * K(y,L(z,u,w)) = K(y,L(z,u,w)) * x. [para(13249(a,1),5370(a,1,1))]. 13256 L(x,y,z * K(u,w)) != v5 | L(x,y,K(u,w) * z) = v5. [para(897(a,1),13207(a,1,3))]. 13257 K(x,K(y,(z * u) \ w)) != v5 | K(x,K(y,u \ (z \ w))) = v5. [para(269(a,1),13077(a,1,2,2))]. 13260 K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,v5,v6))). [hyper(5327,a,13090,a)]. 13274 x / a(y,z,K(u,w)) = a(w,z,K(u,y)) * x. [hyper(280,a,10537,a(flip),b,13143,a),flip(a)]. 13276 x / a(y,z,K(u,w)) != v5 | a(w,z,K(u,y)) * x = v5. [para(13143(a,2),10850(a,1))]. 13277 (a(x,y,K(z,u)) \ (w \ a(x,y,K(z,u)))) * (a(u,y,K(x,z)) * a(x,y,K(z,u))) = ((a(x,y,K(z,u)) \ 1) * w) \ a(x,y,K(z,u)). [para(13144(a,1),10844(a,1,1,2))]. 13278 a(x,y,K(z,u)) * w = w * a(u,y,K(x,z)). [hyper(10957,a,13146,a)]. 13279 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(10955,a,13146,a)]. 13280 (x \ y) * a(z,u,K(x,w)) = T(x,a(w,u,z)) \ y. [hyper(10552,a,13146,a),flip(a)]. 13281 (x * y) * a(x,z,K(u,w)) = T(x,a(w,z,u)) * y. [hyper(10550,a,13146,a),flip(a)]. 13282 a(x,y,K(z,u)) * (w * a(u,y,K(z,x))) = w. [hyper(10539,a,13146,a)]. 13283 (x \ y) * a(z,u,K(w,x)) = T(x,a(z,u,w)) \ y. [hyper(9712,a,13146,a),flip(a)]. 13284 a(x,y,K(z,u)) * (w * x) = w * T(x,a(u,y,z)). [hyper(280,a,10547,a(flip),b,13146,a),flip(a)]. 13285 a(x,y,K(z,u)) * (w * z) = w * T(z,a(x,y,u)). [hyper(280,a,9669,a(flip),b,13146,a),flip(a)]. 13286 (a(x,y,K(z,u)) * w) \ v5 = (w * a(x,y,K(z,u))) \ v5. [hyper(56,a,13146,a)]. 13288 T(a(x,y,K(z,u)) * w,w) != v5 | a(x,y,K(z,u)) * w = v5. [para(13146(a,2),1021(a,1,1))]. 13289 a(x,y,K(z,L(u,w,v5))) * v6 = v6 * a(z,y,K(u,L(x,w,v5))). [para(10543(a,1),13146(a,1,1))]. 13290 a(x,y,K(z,u)) * (w * a(u,y,K(z,x))) != v5 | w = v5. [para(13146(a,1),10847(a,1,2))]. 13291 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(13146(a,1),10902(a,1))]. 13292 x * a(y,z,K(u,w)) != v5 | a(w,z,K(y,u)) * x = v5. [para(13146(a,1),10955(a,1))]. 13293 (a(x,y,K(z,u)) * w) * v5 = (w * a(z,y,K(u,x))) * v5. [para(13146(a,2),10842(a,2,1)),flip(a)]. 13294 x * (a(y,z,u) * K(x,w)) = T(x,w) * a(y,z,u). [para(13173(a,1),4019(a,1,2))]. 13296 L(x,y,K(z,u) * (w * T(z,v5))) = L(x,y,w * (T(z,v5) * K(z,u))). [para(3689(a,1),13204(a,2,3))]. 13297 L(x,y,(K(z,u) * w) * K(z,T(v5,u))) = L(x,y,T(T(z,u),v5) * (z \ w)). [para(4812(a,1),13204(a,1,3)),flip(a)]. 13298 L(x,y,K(z,L(u,w,v5)) * (v5 * w)) = L(x,y,v5 * (w * K(z,u))). [para(9396(a,1),13204(a,2,3))]. 13299 T(a(x,y,z),(u / w) \ z) = T(a(x,y,z),w / u). [hyper(10744,a,13208,a),flip(a)]. 13300 T(x,L((y \ 1) \ z,y \ 1,T(y,u) * y)) = T(x,T(y,u) \ ((y * T(y,u)) * z)). [para(2694(a,1),13237(a,1,2)),flip(a)]. 13301 K(x \ y,L(T(z,(u / w) * y),y,w \ u)) = K(z,((u / w) * x) / ((u / w) * y)). [hyper(58,a,9596,a(flip),b,13239,a),flip(a)]. 13304 T(x,L(y,z,u)) * K(y,K(x,L(w,v5,v6))) = x * K(L(x,z,u),T(y,w)). [para(13260(a,1),9572(a,1,2))]. 13305 x / (x * a(y,z,K(u,w))) = a(w,z,K(u,y)). [hyper(112,a,6,a(flip),b,13274,a(flip))]. 13306 (x \ y) * a(x,z,K(u,w)) = T(x,a(u,z,w)) \ y. [hyper(9712,a,13278,a),flip(a)]. 13307 (x \ 1) \ L(a(y,z,K(u,w)),x,x \ 1) = a(u,z,K(w,y)) * x. [hyper(280,a,677,a,b,13278,a)]. 13308 (x / y) * a(x,z,K(u,w)) = T(x,a(w,z,u)) / y. [hyper(58,a,10777,a(flip),b,13278,a),flip(a)]. 13309 x * (a(y,z,K(u,w)) * v5) = x * (v5 * a(w,z,K(y,u))). [hyper(53,a,13278,a)]. 13311 x * (y * (a(z,u,K(w,v5)) * (((v6 / T(x,y)) / y) / a(z,u,K(w,v5))))) = (x * y) * (((v6 / (x * y)) / a(z,u,K(w,v5))) * a(v5,u,K(z,w))). [para(13278(a,1),11696(a,2,2))]. 13312 (x / y) * a(z,u,K(x,w)) = L(x,u,K(w,z)) / y. [hyper(58,a,11767,a(flip),b,13279,a),flip(a)]. 13313 x \ (y * a(z,u,K(x,w))) = L(x,u,K(z,w)) \ y. [hyper(111,a,13279,a(flip),b,11825,a)]. 13314 (x * y) * L(a(z,u,K(w,v5)),y,x) = x * (a(v5,u,K(z,w)) * y). [para(13279(a,2),86(a,2,2))]. 13315 L(x \ a(y,z,K(u,w)),x,v5) * (v5 * x) = T(a(w,z,K(y,u)) * v5,v5 * x). [para(13279(a,2),943(a,2,1))]. 13316 (a(x,y,K(z,u)) * w) * L(v5,w,a(z,y,K(u,x))) = a(z,y,K(u,x)) * (T(w,a(z,y,K(u,x))) * v5). [para(13279(a,2),6704(a,1,1))]. 13317 x / (x * a(y,z,K(u,w))) != v5 | a(w,z,K(u,y)) = v5. [para(13279(a,1),9059(a,1,2))]. 13318 K(a(x,y,z),u) * w = w * a(z,y,K(u,x)). [para(9700(a,1),13279(a,1,1))]. 13319 a(x * x,y,K(z,u)) * w = w * a(z,y,K(u * u,x)). [para(11059(a,2),13279(a,2,2,3))]. 13320 T((a(x,y,K(z,u)) * w) * v5,L(w,a(z,y,K(u,x)),v5)) = (a(z,y,K(u,x)) * v5) * R(w,a(z,y,K(u,x)),v5). [para(13279(a,2),11397(a,1,1,1))]. 13321 (x * a(y,z,K(u,w))) * a(w,z,K(u,y)) = x. [hyper(58,a,13146,a(flip),b,13282,a)]. 13322 a(x,y,K(x \ z,u)) = w / (w * a(u,y,K(z,x))). [para(2886(a,1),13305(a,1,2,2,3)),flip(a)]. 13323 a(T(x,y),z,K(u * x,w)) = v5 / (v5 * a(w,z,K(u,T(x,y)))). [para(3181(a,1),13305(a,1,2,2,3)),flip(a)]. 13324 a((x * K(y,z)) \ u,w,K(y,v5)) = v6 / (v6 * a(v5,w,K(y,x \ u))). [para(5149(a,1),13305(a,1,2,2,3)),flip(a)]. 13325 x \ (y * a(z,u,K(x,w))) = T(x,a(w,u,z)) \ y. [hyper(111,a,13318,a(flip),b,4296,a)]. 13327 T(x * (y * a(z,u,K(w,v5))),L(a(v5,u,K(w,z)),y * a(z,u,K(w,v5)),x)) = T(x * (y * a(z,u,K(w,v5))),x * y). [para(13321(a,1),437(a,1,2,2)),flip(a)]. 13328 K(x,L(y,z,u)) * L(z * u,w,K(z,v5)) = (K(x,y) * z) * L(u,w,K(z,v5)). [para(13240(a,1),11807(a,1,1))]. 13329 K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. [para(3508(a,1),13245(a,1,2,3))]. 13330 K(x,L(y,z,L(u,w,K(v5,v6)))) != v7 | K(x,L(y,z,u)) = v7. [para(11747(a,2),13245(a,1,2,3))]. 13331 K(x,K(y,z \ (u * w))) = K(x,K(y,w * (u \ z))). [hyper(12484,a,13094,a),flip(a)]. 13333 (x \ L(x,y,z)) * (((x \ L(x,y,z)) \ u) * K(w,K(v5,L(x,y,z) \ (x * u)))) = L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),K(w,v5))). [para(13094(a,1),8287(a,1,2,2))]. 13335 x * ((x \ y) * K(z,K(u,w))) != v5 | y * K(z,K(u,w)) = v5. [para(13096(a,1),628(a,1))]. 13336 ((x * y) * L(y,z,u)) * K(w,K(v5,v6)) = (x * L(y,z,u)) * (y * K(w,K(v5,v6))). [para(2193(a,1),13096(a,1,1))]. 13337 x * (y * (z * K(x,K(u,w)))) = T(x,K(u,w)) * (y * z). [para(13096(a,1),12281(a,1,2))]. 13338 T(x * (y * K(z,K(u,w))),v5) = T(x * y,v5) * K(z,K(u,w)). [para(13096(a,1),12362(a,1,1))]. 13340 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [hyper(280,a,12179,a,b,13101,a),flip(a)]. 13341 (x * y) \ (x * (K(z,K(u,w)) * (y * v5))) != v6 | L(v5 * K(z,K(u,w)),y,x) = v6. [para(13101(a,2),562(a,1,2,2))]. 13342 (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(13101(a,2),823(a,1,1,2))]. 13345 K(x,K(y,z)) * (u * (w \ 1)) = u * (w \ K(x,K(y,z))). [para(10497(a,1),13101(a,2,2))]. 13347 x \ (y * K(z,K(u,w))) = K(z,K(u,w)) * (x \ y). [hyper(111,a,13114,a(flip),b,12179,a)]. 13348 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(280,a,13101,a(flip),b,13116,a),flip(a)]. 13350 (x * (y * K(z,K(u,w)))) * v5 = K(z,K(u,w)) * ((x * y) * v5). [para(13101(a,1),13116(a,1,1))]. 13351 L((x \ y) * K(z,K(u,w)),x,K(z,K(u,w))) = (K(z,K(u,w)) * x) \ y. [para(13166(a,1),12309(a,1,1))]. 13352 T(L(x,y,z) \ x,K(u,w)) = L(x,y,z) \ x. [hyper(280,a,3,a(flip),b,13169,a),flip(a)]. 13353 T(L(x,y,z) \ x,K(u,w)) != v5 | L(x,y,z) \ x = v5. [para(13169(a,2),120(a,1)),flip(b)]. 13354 T(L(x,y,z) \ x,T(u,w)) = T(L(x,y,z) \ x,u). [para(13352(a,1),5750(a,1,1)),flip(a)]. 13355 K(x \ L(x,y,z),T(u,w)) = u \ T(u,L(x,y,z) \ x). [para(13183(a,1),3920(a,1,2)),flip(a)]. 13356 x * (L(x,y,K(z,u)) \ w) != v5 | (w / L(x,y,K(z,u))) * x = v5. [para(13185(a,1),259(a,1,2))]. 13359 L((K(x,y) * z) \ ((K(x,y) * z) / K(u,w)),v5,v6) * (K(x,y) * (z * K(u,w))) = ((K(x,y) * z) * K(u,w)) * L((K(x,y) * z) \ (K(u,w) \ (K(x,y) * z)),v5,v6). [para(13197(a,1),1184(a,1,2))]. 13360 K(x,K(y,T(z,u)) * (w * K(z,u))) = K(x,z * (T(T(z,u),y) \ w)). [para(13197(a,1),12291(a,1,2))]. 13361 K(x,K(y,K(z,u) * w)) = (v5 * ((K(v5,v6) * w) * K(x,y))) \ (T(v5,v6) * (K(x,y) * w)). [para(13197(a,2),12760(a,2,1,2))]. 13362 K(x,L(y,z,u) * (y \ w)) = K(x,(w / y) * L(y,z,u)). [para(1948(a,1),13201(a,1,2))]. 13363 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (w / u))). [hyper(12327,a,13221,a),flip(a)]. 13364 K(L(x,y,z) * (u * x),w) = K(x * (u * L(x,y,z)),w). [hyper(5667,a,13222,a),flip(a)]. 13365 K(x,T(y,(z / u) \ w)) = K(x,T(y,z \ (u * w))). [hyper(58,a,12586,a,b,13225,a)]. 13367 T(K(x,T(y,L(z,u,w))) * L(z,u,w),z) = K(x,y) * L(z,u,w). [hyper(58,a,6404,a,b,13226,a)]. 13368 T(L(x,y,z),L(u,w,v5)) * K(u,T(v6,x)) = T(K(u,v6) * L(x,y,z),L(u,w,v5)). [para(13226(a,1),7700(a,1,1)),flip(a)]. 13369 K(x,L(T(T(y,z),u * L(z,w,v5)),L(z,w,v5),u)) = (u * (K(x,y) * L(z,w,v5))) / (u * L(z,w,v5)). [para(13226(a,1),9390(a,1,1,2)),flip(a)]. 13370 (x \ y) * a(z,u,a(x,w,K(v5,v6))) = T(x,a(a(v6,w,v5),u,z)) \ y. [para(10530(a,2),13280(a,1,2,3))]. 13371 (x \ y) * a(z,u,a(x,w,K(v5,v6))) = T(x,a(v6,u,a(z,w,v5))) \ y. [para(10994(a,1),13280(a,1,2))]. 13372 (L(x,y,K(z,u)) \ w) * a(v5,v6,K(x,v7)) = T(L(x,y,K(z,u)),a(v7,v6,v5)) \ w. [para(13195(a,1),13280(a,1,2,3))]. 13373 T(x * y,a(y,z,u)) = T(x,a(y,z,u)) * y. [hyper(10904,a,13281,a)]. 13374 K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). [hyper(29,a,3682,a,b,13281,a)]. 13375 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(10998,a,13374,a)]. 13376 a(x,y,K(z,u)) * T(x,w) = T(T(x,w),a(u,y,z)). [para(13374(a,1),3680(a,1,1))]. 13377 x \ T(T(x,y),a(z,u,w)) = a(x,u,K(w,z)) * K(x,y). [para(13374(a,1),4628(a,1,1)),flip(a)]. 13378 T(T(x,y),a(z,u,w)) * (x \ v5) = a(x,u,K(w,z)) * (K(x,y) * v5). [para(13374(a,1),4812(a,1,1)),flip(a)]. 13380 T(a(x,y,K(z,u)),w) = a(x,y,K(z,T(u,v5))). [hyper(280,a,13150,a,b,13375,a)]. 13381 (x * (T(y,x) * K(z,T(u,y * x)))) \ (K(z,u) * (y * x)) = a(x,T(y,x),K(z,u)). [hyper(58,a,3788,a,b,13375,a)]. 13382 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = a(x,u,K(y,z)). [hyper(58,a,3781,a,b,13375,a)]. 13383 K(L(x,y,z) * (z * y),x * (z * y)) = a(L(x,y,z) * (z * y),y,K(x,z)). [hyper(58,a,11565,a(flip),b,13375,a)]. 13384 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(103(a,1),13375(a,1,3,2)),flip(a)]. 13385 T(x,a(y,z,T(u,w))) = a(y,z,K(x,u)) * x. [para(13375(a,1),9667(a,1,1)),flip(a)]. 13386 a(x,y,K(z,T(L(L(u,w,v5),v6,v7),v8))) = a(x,y,K(z,L(L(u,v6,v7),w,v5))). [para(11184(a,1),13375(a,2,3))]. 13387 T(x,a(x * y,z,u)) * y = T(x * y,a(y,z,u)). [para(10876(a,2),13373(a,2,1)),flip(a)]. 13388 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(13380(a,1),187(a,1))]. 13389 a(x,y,K(z,u \ w)) * K(x,z) = K(x,L(z,y,u * (w \ 1))). [para(13384(a,1),10898(a,1,1))]. 13390 T(x * y,a(z,u,T(y,w))) = a(z,u,K(x,y)) * (x * y). [para(2907(a,1),13385(a,2,1,3))]. 13391 T(x,a(y,z,T(u,w))) != v5 | T(x,a(y,z,u)) = v5. [para(13385(a,2),9668(a,1))]. 13393 a(x,y,K(z,L(T(u,w),v5,v6))) != v7 | a(x,y,K(z,L(u,v5,v6))) = v7. [para(20(a,2),13388(a,1,3,2))]. 13395 a(x,y,T(K(z,u),w)) != v5 | a(x,y,K(z,u)) = v5. [para(3631(a,1),13388(a,1,3))]. 13397 (x \ y) * a(z,u,a(w,v5,K(v6,x))) = T(x,a(a(z,v5,v6),u,w)) \ y. [para(10994(a,1),13283(a,1,2))]. 13399 a(L(x \ 1,x,y),z,K(u,w)) * (y / x) = y * T(L(x \ 1,x,y),a(w,z,u)). [para(343(a,1),13284(a,1,2))]. 13400 a(x,y,K(z,u)) * (w * z) = w * L(z,y,K(u,x)). [para(11747(a,2),13285(a,2,2))]. 13401 ((x / a(y,z,K(x,u))) * w) \ x = x \ (L(x,z,K(u,y)) / w). [hyper(111,a,13312,a(flip),b,181,a),flip(a)]. 13402 L(x,y,K(z,u)) \ (w \ x) = x \ (w \ L(x,y,K(u,z))). [para(11817(a,1),13313(a,1,2)),flip(a)]. 13403 a(x,y,K(x \ z,u)) = a(x,y,K(z,u)). [hyper(280,a,13305,a(flip),b,13322,a),flip(a)]. 13404 a(x,y,K(x * z,u)) = a(x,y,K(z,u)). [para(4(a,1),13403(a,1,3,1)),flip(a)]. 13405 x \ (y * a(z,u,K(w,x))) = T(x,a(z,u,w)) \ y. [para(10481(a,1),13325(a,1,2,2))]. 13406 K(x,K(y,z * (u \ w))) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(13331(a,1),12484(a,1))]. 13407 x \ (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x \ w). [hyper(668,a,13340,a)]. 13410 K(x,K(y,z)) * (u * (K(y,z) * w)) = u * (K(y,T(z,x)) * w). [para(5344(a,1),13340(a,2,2))]. 13411 x \ (K(y,K(z,u)) * w) = K(u,K(y,z)) * (x \ w). [para(12147(a,2),13347(a,1,2))]. 13412 x \ (y * (z * K(u,K(w,v5)))) = K(u,K(w,v5)) * (x \ (y * z)). [para(13096(a,1),13347(a,1,2))]. 13413 (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). [para(12164(a,1),13348(a,1,1))]. 13414 (x \ 1) * (y * K(z,K(u,w))) = (x \ K(z,K(u,w))) * y. [para(12277(a,1),13348(a,1,1)),flip(a)]. 13415 T(x * K(y,K(z,u)),w) * v5 = T(x,w) * (v5 * K(y,K(z,u))). [para(12174(a,2),13348(a,1,1))]. 13416 K(x,T(y,z \ (u / w))) = K(x,T(y,(z * w) * u)). [hyper(12138,a,13363,a),flip(a)]. 13417 K(x,(y * (z * T(z \ (y \ u),w))) \ u) = (K(x,w) * v5) \ (K(x,T(w,y \ (u / z))) * v5). [para(13363(a,1),12372(a,2,2,1))]. 13418 K(x,T(y,z \ (u * w))) = K(x,T(y,(z / u) * w)). [hyper(12138,a,13365,a),flip(a)]. 13419 a(T(x,y),z,K(u,w)) = a(x,z,K(u,w)). [hyper(30,a,10546,a,b,13376,a)]. 13421 a(x / y,z,K(u,w)) = a(y \ x,z,K(u,w)). [para(103(a,1),13419(a,1,1)),flip(a)]. 13422 a(L(x,y,z) * (z * y),u,K(w,v5)) = a(z * (y * x),u,K(w,v5)). [para(923(a,1),13419(a,1,1))]. 13424 T(x,a(x * y,z,u)) * y = L(x * y,z,K(u,y)). [hyper(280,a,11747,a,b,13387,a),flip(a)]. 13425 T(K(x,y) * z,a(u,w,x)) = K(x,y) * L(z,w,K(x,u)). [hyper(9676,a,13400,a)]. 13426 T(K(x,y) * z,a(u,w,y)) = K(x,y) * L(z,w,K(y,u)). [hyper(9675,a,13400,a)]. 13427 (x * y) * a(z,u,K(w,y)) = x * L(y,u,K(z,w)). [hyper(58,a,13278,a(flip),b,13400,a)]. 13428 T(x,a(y,z,u)) \ K(w,x) = T(x,w) \ a(y,z,K(u,x)). [hyper(4393,a,13405,a),flip(a)]. 13429 L(x,y,z) * (x \ a(u,w,K(v5,x))) = T(x,a(u,w,v5)) \ L(x,y,z). [hyper(1938,a,13405,a)]. 13430 x \ (y * (K(z,K(u,w)) * v5)) = K(z,K(u,w)) * (x \ (y * v5)). [para(13340(a,1),13407(a,1,2))]. 13431 K(x,K(y,z)) * (u \ (w \ 1)) = u \ (w \ K(y,K(z,x))). [para(12277(a,1),13411(a,1,2)),flip(a)]. 13432 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [hyper(280,a,12179,a,b,13413,a),flip(a)]. 13433 (x * (y * (z * K(u,K(w,v5))))) \ ((x * (y * K(u,K(w,v5)))) * z) = a(x,y * K(u,K(w,v5)),z). [para(13413(a,1),9(a,2,1,2)),flip(a)]. 13434 (x * (y * K(z,K(u,w)))) \ (x * (y * (v5 * K(z,K(u,w))))) != v6 | L(v5,y * K(z,K(u,w)),x) = v6. [para(13413(a,1),562(a,1,2,2))]. 13435 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (w / u))). [hyper(12138,a,13416,a),flip(a)]. 13436 K(x,T(y,(z / u) * w)) = K(x,T(y,z * (u * w))). [hyper(12138,a,13418,a),flip(a)]. 13437 L(x,y,K(z,x * u)) * u = L(x * u,y,K(z,u)). [para(11747(a,2),13424(a,1,1))]. 13438 L(x,K(y,K(z,u)),w) = x. [hyper(11087,a,13432,a)]. 13439 (x * K(y,z)) * (T(K(y,K(z,u)),x * K(y,z)) * w) = (x * K(y,T(z,u))) * w. [para(13438(a,1),12390(a,1,2)),flip(a)]. 13440 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u \ w))). [hyper(280,a,12600,a(flip),b,13435,a),flip(a)]. 13441 K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z * w))). [hyper(58,a,12587,a(flip),b,13436,a)]. 13442 L(x * y,z,K(u,y)) = L(x,z,K(u,y)) * y. [para(11777(a,1),13437(a,1,1)),flip(a)]. 13443 L(x * x,y,K(z,x)) = x * x. [para(4201(a,1),13442(a,2,1))]. 13444 K(x,T(y,(z \ ((u \ 1) * w)) * 1)) = K(x,T(y,(w \ 1) * (u \ z))). [hyper(58,a,10939,a,b,13440,a)]. 13445 K(x,T(y,(z * (u \ (w \ 1))) * 1)) = K(x,T(y,z * (w / (u \ 1)))). [para(529(a,1),13440(a,2,2,2,2))]. 13447 a(x,y,K(z,u)) * w != v5 | w * a(z,y,K(u,x)) = v5. [para(10481(a,1),13152(a,1,1))]. 13448 a(x,y,K(z,u)) * w != v5 | w * a(u,y,K(x,z)) = v5. [para(10481(a,2),13152(a,1,1))]. 13451 T(a(x,y,z),(u / w) \ z) != v5 | T(a(x,y,z),u \ w) = v5. [para(13299(a,2),13209(a,1))]. 13452 L(x,y,K(z,u) * ((K(u,z) * w) * v5)) != v6 | L(x,y,K(u,z) * (w * (v5 * K(z,u)))) = v6. [para(11352(a,1),13256(a,1,3))]. 13536 a(x,y,K(x \ z,u)) != w | a(x,y,K(z,u)) = w. [para(13322(a,2),13317(a,1))]. 13537 T(T(x * (y * (x * y)),z) / u,x * (y * (x * y))) = u \ T(x * (y * (x * y)),z). [hyper(1059,a,13212,a),flip(a)]. 13538 T(a(x,y,a(z,u,K(w,v5))),v6) = a(x,y,a(z,u,K(w,v5))). [para(9700(a,2),13233(a,2,3))]. 13539 T(K(x,y) * a(z,u,K(w,v5)),v6) = a(z,u,K(w,v5)) * K(x,T(y,v6)). [hyper(280,a,3644,a,b,13235,a),flip(a)]. 13540 T(x * a(y,z,K(u,w)),v5) = T(x,v5) * a(y,z,K(u,w)). [hyper(280,a,13146,a(flip),b,13235,a),flip(a)]. 13541 T(a(x,y,K(z,u)) * w,v5) = a(x,y,K(z,u)) * T(w,v5). [para(13146(a,2),13235(a,1,1))]. 13543 K(x,L(T(y,L(z,u,w)),v5,v6)) != v7 | K(x,L(T(y,z),v5,v6)) = v7. [para(11779(a,1),13243(a,1,2,1))]. 13544 T(T(x,y) * K(z,L(u,w,v5)),K(z,u)) = T(x,y) * K(z,L(T(u,x),w,v5)). [hyper(280,a,12330,a,b,13250,a),flip(a)]. 13545 T(x * (y * K(z,u)),K(z,u)) = K(z,L(u,y,x)) * (x * y). [para(9396(a,1),13250(a,1,1))]. 13547 K(x,L(y,z,u)) * (w * K(y,L(x,z,u))) = T(w,K(y,x)). [hyper(280,a,5355,a,b,13251,a),flip(a)]. 13548 K(x,L(y,z,u)) * ((w * K(y,L(x,z,u))) * T(y,v5)) = T(w,K(x,y)) * T(y,v5). [para(13251(a,1),4207(a,1,1)),flip(a)]. 13549 K(x,L(y,z,u)) * (x \ y) = (x \ y) * K(x,L(y,z,u)). [para(2942(a,1),13253(a,1,1)),flip(a)]. 13550 K(x,L(y,z,u)) * (w * K(y,x)) = (K(y,x) * w) * K(x,L(y,z,u)). [para(3528(a,1),13253(a,1,1)),flip(a)]. 13551 K(x,y) * (K(y,L(x,z,u)) * w) = w * (K(y,L(x,z,u)) * K(x,y)). [para(13253(a,1),9040(a,1,2))]. 13552 L((a(x,y,K(z,u)) * w) \ 1,a(x,y,K(z,u)) * w,a(v5,v6,K(v7,v8))) = (w * a(x,y,K(z,u))) \ 1. [hyper(58,a,10505,a,b,13286,a)]. 13553 T(x * (a(y,z,K(u,w)) * v5),(a(y,z,K(u,w)) * v5) \ 1) = (v5 * a(u,z,K(w,y))) * x. [hyper(3525,a,13293,a)]. 13554 x * (a(y,z,K(u,w)) * v5) = x * (K(a(u,z,w),y) * v5). [para(13318(a,2),13309(a,2,2))]. 13555 (a(x,y,K(z * z,u)) / w) * (a(u * u,y,K(x,z)) * w) = (a(x,y,K(z * z,u)) * w) * (w \ a(x,y,K(z * z,u))). [para(13319(a,2),11150(a,1,2))]. 13556 (x * a(y * y,z,K(u,w))) \ (x / a(y * y,z,K(u,w))) = (a(y * y,z,K(u,w)) \ x) / (x * a(u,z,K(w * w,y))). [para(13319(a,1),11266(a,1,2)),flip(a)]. 13557 (x * (y \ 1)) * (z * K(u,K(w,v5))) = (x * (y \ K(u,K(w,v5)))) * z. [para(13345(a,1),13348(a,1,1)),flip(a)]. 13558 K(x \ L(x,y,z),T(u,w)) = K(u,L(x,y,z) \ x). [hyper(280,a,2890,a,b,13355,a),flip(a)]. 13560 K(x,L(y,z,u) \ y) != w | K(y \ L(y,z,u),T(x,v5)) = w. [para(13558(a,1),3317(a,1))]. 13561 K(L(K(x,y),z,u) * (K(y,x) * ((K(x,y) * w) * v5)),v6) = K(K(x,y) * ((w * (v5 * K(y,x))) * L(K(x,y),z,u)),v6). [para(11352(a,1),13364(a,1,1,2))]. 13562 x \ T(T(x,a(y,z,u)),w) = a(x,z,K(u,y)) * K(x,w). [hyper(58,a,144,a,b,13377,a)]. 13563 T(x * y,a(z,u,T(y,w))) = T(x,a(z,u,y)) * y. [hyper(280,a,9671,a(flip),b,13390,a),flip(a)]. 13564 T(x * y,a(z,u,y)) = T(x,a(z,u,y)) * y. [hyper(13391,a,13563,a)]. 13565 T(x * y,a(x,y,z)) = x * y. [hyper(11630,a,13564,a),flip(a)]. 13566 T(x * y,a(z,x,y)) = x * y. [para(9724(a,1),13564(a,2,1))]. 13567 ((x * y) * a(x,y,z)) \ (x * y) = (x * y) \ (a(x,y,z) \ (x * y)). [hyper(111,a,13565,a(flip),b,1257,a(flip))]. 13569 (x * y) / ((x * y) * a(x,y,z)) = ((x * y) * a(x,y,z)) \ (x * y). [para(13565(a,1),933(a,1,1))]. 13570 a(x,y,z) * (y * x) = (y * x) * a(x,y,z). [para(13566(a,1),11788(a,1,1)),flip(a)]. 13571 (x * (x \ y)) * a(x \ y,x,z) = a(x \ y,x,z) * y. [hyper(294,a,13570,a),flip(a)]. 13572 (x * L(y,z,K(u,w))) \ y = y \ (x \ L(y,z,K(w,u))). [hyper(58,a,11838,a,b,13402,a)]. 13573 (x \ 1) * (y * (z * K(u,K(w,v5)))) = (x \ K(u,K(w,v5))) * (y * z). [para(13096(a,1),13414(a,1,2))]. 13574 K(x,y) * L(z,u,K(x,w)) != v5 | L(K(x,y) * z,u,K(x,w)) = v5. [para(13425(a,1),11748(a,1))]. 13575 K(x,y) * L(z,u,K(y,w)) != v5 | L(K(x,y) * z,u,K(y,w)) = v5. [para(13426(a,1),11748(a,1))]. 13576 T(x,y \ (z \ K(u,K(w,v5)))) = T(x,y \ (z \ 1)). [para(13431(a,1),12524(a,1,2))]. 13577 a(x,y,a(z,u,K(w,v5))) * v6 = v6 * a(x,y,a(z,u,K(w,v5))). [para(13538(a,1),101(a,1,2)),flip(a)]. 13578 L(x * a(y,z,K(u,w)),v5,K(v6,v7)) = T(x,a(v7,v5,v6)) * a(y,z,K(u,w)). [hyper(11748,a,13540,a)]. 13579 x * (a(y,z,K(u,w)) * K(x,v5)) = T(x * a(y,z,K(u,w)),v5). [hyper(280,a,13294,a,b,13540,a)]. 13580 T(x * a(y,z,K(u,x)),y \ 1) = T(x,L(y,z,u) \ 1). [hyper(280,a,11220,a(flip),b,13540,a),flip(a)]. 13581 T(K(x,y) * a(z,u,K(w,v5)),v6) = K(x,T(y,v6)) * a(z,u,K(w,v5)). [hyper(4764,a,13540,a(flip)),flip(a)]. 13582 L(x,y,z) * T(u * a(w,v5,K(v6,x)),L(x,y,z)) = (u * L(x,y,z)) * a(w,v5,K(v6,x)). [para(13540(a,2),9747(a,1,2))]. 13583 T(a(x,y,K(z,u)) * a(w,v5,K(v6,v7)),v8) = a(x,y,K(z,u)) * a(w,v5,K(v6,v7)). [para(13150(a,1),13540(a,2,1))]. 13584 T(a(x,y,K(z,u)) * L(w,v5,v6),v7) = a(x,y,K(z,u)) * L(T(w,v7),v5,v6). [para(20(a,2),13541(a,2,2))]. 13585 a(x,y,K(z,u)) * T(L(w \ 1,w,a(x,y,K(z,u))),v5) = T(a(x,y,K(z,u)) / w,v5). [para(343(a,1),13541(a,1,1)),flip(a)]. 13586 (x * T(a(y,z,K(u,w)) * (a(y,z,K(u,w)) \ (x \ v5)),v6)) \ v5 = K(v6,(x * a(y,z,K(u,w))) \ v5). [para(13541(a,2),4477(a,1,1,2))]. 13587 K(x,L(y,z,u)) * (w * (K(y,L(x,z,u)) * T(y,v5))) = T(w * T(y,v5),K(y,x)). [para(4778(a,1),13547(a,1,2))]. 13588 (x / y) * T((y \ x) \ T((y \ x) * K(y,L(x,z,u)),x),w) = (K(y,x) * T(K(y,x) \ L(K(y,x),z,u),w)) * (y \ x). [para(13549(a,1),9798(a,1,2,1,2,1))]. 13589 x * (K(a(y,z,u),w) * v5) != x * v6 | a(w,z,K(y,u)) * v5 = v6. [para(13554(a,1),38(a,1))]. 13590 x \ T(L(x,y,K(z,u)),w) = a(x,y,K(z,u)) * K(x,w). [para(11747(a,2),13562(a,1,2,1))]. 13591 T(a(x \ y,x,z),y) = a(x \ y,x,z). [hyper(226,a,13571,a(flip),b,139,a(flip))]. 13593 T(L(x,y,K(z,u)),z \ 1) = T(x,L(z,y,u) \ 1). [para(11774(a,1),13580(a,1,1))]. 13594 L(T(x,y \ 1),z,K(y,u)) = T(x,L(y,z,u) \ 1). [hyper(58,a,20,a,b,13593,a)]. 13595 T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). [hyper(58,a,11790,a(flip),b,13594,a)]. 13596 T((L(x,y,z) \ u) * x,L(x \ 1,y,z)) = (u / L(x,y,z)) * x. [hyper(3702,a,13595,a(flip)),flip(a)]. 13599 T(x,K(y,z)) * K(u,w) != v5 | K(y,z) * ((x * K(z,y)) * K(u,w)) = v5. [para(5356(a,1),13198(a,1,1))]. 13601 L(T(x,y),z,u) * K(w,T(v5,x)) != v6 | K(w,v5) * L(T(x,y),z,u) = v6. [para(12204(a,1),13227(a,1,2))]. 13602 K(x,K(y,z \ (u \ w))) = K(x,K(y,w * (u * z))). [hyper(13257,a,12483,a)]. 13603 K(x,K(y,(z \ u) * w)) = K(x,K(y,u * (z * w))). [hyper(12484,a,13602,a)]. 13604 K(x,K(y,z * (u * w))) * K(y,x * ((u \ z) * w)) = K(y,((u \ z) * w) * x). [para(13603(a,1),6501(a,1,1))]. 13605 (x \ y) * (z * K(u,K(w,y * (x * z)))) = T((x \ y) * z,K(u,w)). [para(13603(a,1),8814(a,1,2,2))]. 13606 T(x * (y * K(z,u)),K(z,u)) = (K(z,u) * y) * T(x,y). [hyper(280,a,11118,a(flip),b,13545,a),flip(a)]. 13607 T(x,y * (K(z,L(u,w,v5)) * (v5 * w))) = T(x,y * (v5 * (w * K(z,u)))). [para(13545(a,1),12527(a,1,2,2))]. 13608 T((x * K(y,z)) * L((x * K(y,z)) \ 1,u,w),K(y,z)) = (K(y,z) * x) * T(L((x * K(y,z)) \ 1,u,w),x). [para(705(a,1),13606(a,1,1))]. 13609 T(x,T((y * (z * K(u,w))) \ x,K(u,w))) = T(x,((K(u,w) * z) * T(y,z)) \ x). [para(13606(a,1),9885(a,2,2,1))]. 13610 T(x,y \ x) = (K(z,K(u,w)) * (y * x)) / (K(z,K(u,w)) * y). [hyper(280,a,2848,a,b,13167,a)]. 13611 T(x,y) * (a(z,u,K(w,x)) * v5) = T(T(x,a(w,u,z)),y) * v5. [hyper(10932,a,13175,a)]. 13612 K(x,(y * L(y \ (y / z),u,w)) / (y / z)) = K(x,z * L(z \ 1,u,w)). [hyper(5656,a,13218,a)]. 13613 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [hyper(226,a,13155,a,b,13234,a)]. 13614 T((a(x,y,K(z,u)) * w) / v5,w) = v5 \ (a(x,y,K(z,u)) * w). [hyper(1059,a,13613,a),flip(a)]. 13615 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [para(9664(a,1),13613(a,1,2,1))]. 13616 T(x * y,x) / (a(z,u,K(w,v5)) * x) = x \ ((a(v5,u,K(w,z)) * x) * y). [para(13613(a,1),11295(a,1,1))]. 13617 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(13146(a,1),13613(a,1,2))]. 13618 (a(x,y,K(z,u)) * w) * T(v5,a(v6,v7,K(v8,v9)) * w) = v5 * (w * a(x,y,K(z,u))). [para(13613(a,2),13234(a,1,2))]. 13619 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [hyper(280,a,17,a(flip),b,13615,a),flip(a)]. 13620 K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). [hyper(111,a,13617,a(flip),b,2882,a(flip)),flip(a)]. 13621 T(x,y * (K(z,u) * K(u,L(z,w,v5)))) = T(x,y). [para(9408(a,2),13617(a,1,2,2))]. 13622 T(x,K(y,a(z,u,w)) * v5) != v6 | T(x,v5) = v6. [para(13619(a,2),266(a,1))]. 13623 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(280,a,2890,a,b,13620,a),flip(a)]. 13624 K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(13620(a,2),2900(a,1))]. 13625 K(x,a(y,z,K(u,w)) \ v5) = K(x,v5). [para(13145(a,1),13623(a,1,2)),flip(a)]. 13626 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [para(13146(a,2),13623(a,1,2))]. 13627 K(x,T(y,a(z,u,w)) \ v5) = K(x,y \ v5). [para(13280(a,1),13623(a,1,2))]. 13628 K(x \ a(y,z,K(u,w)),v5) = K(v5,x). [hyper(3729,a,13625,a)]. 13629 K(x,K(y,z)) * K(x,y \ (a(u,w,K(v5,v6)) * z)) = K(x,(a(u,w,K(v5,v6)) * z) / y). [para(13626(a,1),5903(a,1,1,2))]. 13630 T(T(x,K(y,z)),y / (a(u,w,K(v5,v6)) * z)) != v7 | T(x,(a(u,w,K(v5,v6)) * z) \ y) = v7. [para(13626(a,1),6968(a,1,1,2))]. 13631 K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). [para(11765(a,1),13626(a,1,2))]. 13632 K(x \ a(y,z,K(u,w)),v5 / v6) != v7 | K(x,v6 / v5) = v7. [para(13628(a,2),3710(a,1))]. 13633 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [para(11081(a,1),13631(a,1,2)),flip(a)]. 13635 T(x,T(y,a(z,u,w))) != v5 | T(x,y) = v5. [para(2043(a,2),13622(a,1,2))]. 13636 T(x,a(y,z,K(u,w)) * v5) != v6 | T(x,v5) = v6. [para(9664(a,2),13622(a,1,2,1))]. 13637 T(x,T(T(y,a(z,u,w)),v5)) != v6 | T(x,T(y,v5)) = v6. [para(18(a,1),13635(a,1,2))]. 13638 T(x,L(y,z,K(u,w))) != v5 | T(x,y) = v5. [para(11747(a,2),13635(a,1,2))]. 13640 T(x,L(y,z,a(u,w,K(v5,v6)))) != v7 | T(x,y) = v7. [para(9552(a,1),13638(a,1,2,3))]. 13641 K(x,(y * z) * K(u,w)) != v5 | K(x,y * (z * K(u,w))) = v5. [para(74(a,1),13624(a,1,2))]. 13642 K(x,a(y,z,K(u,w)) * v5) != v6 | K(x,v5) = v6. [para(13146(a,2),13624(a,1,2))]. 13644 K(x,y * L(z,u,K(w,v5))) != v6 | K(x,y * z) = v6. [para(13427(a,1),13624(a,1,2))]. 13645 K(x,L(y,z,K(u,w)) \ v5) != v6 | K(x,y \ v5) = v6. [para(11765(a,1),13642(a,1,2))]. 13646 K(x,y \ (z * K(u,w))) = K(x,K(w,u) * (y \ z)). [hyper(280,a,12290,a,b,13633,a),flip(a)]. 13647 K(x,(y \ (z * u)) * K(w,L(v5,u,z))) = K(x,y \ (z * (u * K(w,v5)))). [para(9396(a,1),13633(a,1,2,2)),flip(a)]. 13648 T(K(x,y) * T(z,a(u,w,v5)),T(z,v6)) = T(z,a(u,w,v5)) * K(x,y). [hyper(13637,a,12335,a)]. 13649 K(x,K(y,z) * (u * w)) != v5 | K(x,(K(y,z) * u) * w) = v5. [para(86(a,1),13644(a,1,2))]. 13650 K(x,(K(y,z) * u) * w) = K(x,K(y,z) * (u * w)). [hyper(13649,a,xx)]. 13651 K(x,K(y,z) * ((z \ u) * w)) = K(x,(T(z,y) \ u) * w). [para(4276(a,1),13650(a,1,2,1)),flip(a)]. 13652 T((x * (a(y,z,K(u,L(w,v5,v6))) * v7)) \ (x * v7),v8 \ 1) \ (v7 * x) = L(a(u,z,K(w,L(y,v5,v6))),v7,x) * ((K(v8,a(u,z,K(w,L(y,v5,v6)))) * v7) * x). [para(13289(a,2),11917(a,1,1,1,1,2))]. 13653 a(T(x,y),z,K(u * x,w)) = v5 / (v5 * a(w,z,K(u,x))). [para(13375(a,1),13323(a,2,2,2))]. 13654 a(T(x,y),z,K(u * x,w)) = a(x,z,K(u,w)). [hyper(280,a,13305,a(flip),b,13653,a),flip(a)]. 13656 a(x,y,K(z * x,u)) = a(x,y,K(z,u)). [hyper(58,a,13419,a(flip),b,13654,a)]. 13657 ((a(x,y,K(z,u)) * z) * w) \ z = z \ (L(z,y,K(x,u)) / w). [para(13274(a,1),13401(a,1,1,1))]. 13658 L(T(L(x,K(y,z) * u,K(w,K(y,z))) \ 1,K(y,z) * u),L(x,K(y,z) * u,K(w,K(y,z))),x * (K(y,T(z,w)) * u)) = (K(w,K(y,z)) * (x * (K(y,z) * u))) \ (K(w,K(y,z)) * (K(y,z) * u)). [para(13410(a,1),7279(a,1,3))]. 13659 K(x,K(y,z)) * ((u * (K(y,z) * w)) * v5) = (u * (K(y,T(z,x)) * w)) * v5. [para(13410(a,1),13116(a,1,1)),flip(a)]. 13660 x \ (y * T(K(z,K(u,w)) * v5,v6)) = K(z,K(u,w)) * (x \ (y * T(v5,v6))). [para(12173(a,2),13412(a,1,2,2))]. 13661 K(x,L(T(y,L(z,u,w)),v5,v6)) = K(x,L(T(y,z),v5,v6)). [hyper(13543,a,xx),flip(a)]. 13662 K(x,L(T(y,z \ (u * w)),v5,v6)) != v7 | K(x,L(T(y,(u \ z) \ w),v5,v6)) = v7. [para(569(a,1),13543(a,1,2,1,2))]. 13663 K(x,L(T(y,z / (u * w)),v5,v6)) != v7 | K(x,L(T(y,(z / w) / u),v5,v6)) = v7. [para(11080(a,1),13543(a,1,2,1,2))]. 13664 x * a(y,z,a(x,u,K(w,v5))) = L(x,z,a(v5,u,K(w,y))). [hyper(29,a,11862,a,b,13577,a)]. 13666 (x * a(y,z,K(u,w))) * K(x,v5) = T(x * a(y,z,K(u,w)),v5). [hyper(5027,a,13579,a)]. 13667 T(x,y \ (z \ x)) = (K(u,K(w,v5)) * ((z * y) * x)) / (K(u,K(w,v5)) * (z * y)). [hyper(11304,a,13610,a)]. 13668 T(x,y) * (z * a(u,w,K(v5,x))) = T(T(x,a(v5,w,u)),y) * z. [hyper(58,a,13155,a(flip),b,13611,a)]. 13669 ((a(x,y,K(z,u)) * w) / v5) * w = w * (v5 \ (a(x,y,K(z,u)) * w)). [para(13614(a,1),101(a,1,2)),flip(a)]. 13670 (L(x,y,K(z,u)) * w) \ x = x \ (L(x,y,K(u,z)) / w). [para(11751(a,1),13657(a,1,1,1))]. 13671 x / T(L(x,y,K(z,u)) * w,x) = x \ (L(x,y,K(u,z)) / w). [hyper(4564,a,13670,a)]. 13672 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(29,a,2882,a(flip),b,13666,a)]. 13673 K(x,K(y,z)) * K(x,(y * a(u,w,K(v5,v6))) \ z) = K(x,z / (y * a(u,w,K(v5,v6)))). [para(13672(a,1),5903(a,1,1,2))]. 13674 K(a(x,y,K(z,u)) * w,v5) = K(w,v5). [para(13146(a,2),13672(a,1,1))]. 13675 L(L(a(x,y,K(z,u)) * w,v5,v6),v7,K(w,v8)) = L(a(x,y,K(z,u)) * w,v5,v6). [para(13674(a,1),4199(a,1,3))]. 13676 K(L(x,y,K(z,u)) \ w,v5) = K(x \ w,v5). [para(11765(a,1),13674(a,1,1))]. 13677 K(x \ (L(x,y,K(z,u)) / w),L(v5,v6,v7)) != v8 | K(v5,L(w,v6,v7)) = v8. [para(13676(a,1),9548(a,1))]. 13678 x / (y * L(x,z,K(u,w))) = x \ (L(x,z,K(w,u)) / y). [para(13162(a,1),13671(a,1,2))]. 13679 K(x \ (L(x,y,K(z,u)) / w),L(T(v5,w * L(x,y,K(u,z))),v6,v7)) = K((w * L(x,y,K(u,z))) \ x,L(v5,v6,v7)). [para(13678(a,1),3800(a,1,1))]. 13680 (x \ 1) \ a(y,z,K(u,L(w,x,x \ 1))) = a(u,z,K(w,y)) * x. [para(9411(a,2),13307(a,1,2))]. 13681 (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (a(v5,u,K(z,w)) * y). [para(9411(a,2),13314(a,1,2))]. 13682 (x / L(y,z,K(u,w))) * y = a(w,z,K(u,y)) * x. [hyper(13356,a,11825,a)]. 13683 T(L(x,y,z) * K(u,w),x) = K(u,w) * L(x,y,z). [para(5433(a,1),13367(a,1,1))]. 13685 L(x * (L(x,y,z) \ u),y,K(x,z)) = (u / L(x,y,z)) * x. [hyper(58,a,11821,a(flip),b,13596,a)]. 13690 a(x,y,K(z,L(u,w,w \ 1))) / (a(z,y,K(u,x)) * w) = w \ 1. [hyper(183,a,13680,a)]. 13691 (x \ 1) \ a(y,z,K(u,w)) = a(u,z,K(w,y)) * x. [para(10507(a,1),13680(a,1,2,3))]. 13692 a(x,y,K(z,u)) * (w \ 1) = w \ a(u,y,K(x,z)). [para(378(a,1),13691(a,1,1)),flip(a)]. 13694 L(L(a(x,y,K(z,u)) * w,v5,v6),L(w \ 1,w,K(x,u)),K(x,u)) = L((K(x,u) / w) \ K(x,L(u,y,z)),v5,v6). [para(13691(a,1),12107(a,1,1,1))]. 13695 a(x,y,K(z,u)) * (w \ 1) = w \ a(x,y,K(z,u)). [hyper(10955,a,13692,a)]. 13696 a(x,y,K(z,u)) * (w \ a(u,y,K(z,x))) = w \ 1. [hyper(10539,a,13695,a)]. 13698 a(x,y,K(z,u)) * (w \ a(u,y,K(z,x))) != v5 | w \ 1 = v5. [para(13695(a,1),10847(a,1,2))]. 13699 (a(x,y,K(z,u)) * w) \ a(u,y,K(x,L(z,w,w \ 1))) = w \ 1. [hyper(13153,a,13690,a)]. 13700 (a(x,y,K(z,u)) * w) \ a(u,y,K(x,z)) = w \ 1. [para(10507(a,1),13699(a,1,2,3))]. 13701 (a(x,y,K(z,u)) * w) \ 1 = w \ a(z,y,K(x,u)). [para(9055(a,1),13700(a,1,1)),flip(a)]. 13703 (x * a(y,z,K(u,w))) \ 1 = x \ a(y,z,K(w,u)). [para(13282(a,1),13700(a,1,1)),flip(a)]. 13704 (x \ a(y,z,K(u,w))) \ 1 = a(u,z,K(y,w)) * x. [hyper(383,a,13701,a)]. 13705 (x * (y * a(z,u,K(w,v5)))) \ 1 = (y \ a(z,u,K(v5,w))) * (x \ 1). [para(13703(a,1),512(a,1,1)),flip(a)]. 13708 K(x,K(y,z)) * (T(K(y,L(x,u,w)),z) * v5) = K(y,L(x,u,w)) * v5. [para(5281(a,1),13107(a,1,1))]. 13709 K(x,T(y \ L(y,z,u),w) * (y * v5)) = K(x,y * (v5 * T(y \ L(y,z,u),w))). [para(7664(a,1),13231(a,2,2))]. 13710 L(x,y,K(z,u) * (w * T(z,v5))) = L(x,y,w * (K(z,v5) * T(z,u))). [para(3396(a,2),13296(a,2,3,2))]. 13711 a((x * K(y,z)) \ u,w,K(y,v5)) = a(x \ u,w,K(y,v5)). [hyper(280,a,13305,a(flip),b,13324,a),flip(a)]. 13713 (((x / y) * (y * K(z,u))) * K(u,z)) \ x = a(y \ x,y,K(z,u)). [hyper(58,a,11832,a,b,13711,a)]. 13716 x \ (((x / y) * (y * K(z,u))) * K(u,z)) = a(y \ x,y,K(u,z)). [hyper(58,a,9765,a(flip),b,13713,a)]. 13717 (x * K(y,T(z,u))) \ ((x / u) * (K(y,z) * u)) = a(u \ x,u,K(z,y)). [hyper(58,a,9775,a,b,13716,a)]. 13718 K(x,K(y,z) * (u * K(y,w))) = K(x,y * (T(T(y,w),z) \ u)). [hyper(12561,a,13360,a)]. 13720 K(x,y * (T(T(y,L(z,u,w)),v5) \ (w * u))) = K(x,K(y,v5) * (w * (u * K(y,z)))). [para(9396(a,1),13718(a,1,2,2)),flip(a)]. 13721 (x \ y) * a(z,u,a(x,w,K(v5,v6))) = L(x,u,K(a(z,w,v5),v6)) \ y. [para(11747(a,2),13371(a,2,1))]. 13722 (T(x,y) / a(x,z,K(u,w))) \ T(x,v5) = T(T(x,v5),a(w,z,u)) * (x \ K(y,x)). [hyper(280,a,10936,a,b,13378,a)]. 13723 (a(x,y,K(z,u)) * (K(x,w) * v5)) / v5 = v5 / (x * (T(T(x,w),a(u,y,z)) \ v5)). [para(13378(a,1),692(a,1,1))]. 13724 a(x,y,a(z,u,K(w,v5))) = a(v5,y,a(x,u,K(w,z))). [hyper(29,a,13370,a,b,13397,a)]. 13726 L(x,y,z) * (x \ a(x,u,K(w,v5))) = T(x,a(w,u,v5)) \ L(x,y,z). [para(10481(a,1),13429(a,1,2,2))]. 13727 K(x,T(y,(z \ ((u \ 1) * w)) * 1)) = K(x,T(y,w \ (u \ z))). [hyper(280,a,10813,a(flip),b,13444,a),flip(a)]. 13728 K(x,T(y,(z \ ((u \ 1) * w)) * 1)) = K(x,T(y,w * (u \ z))). [hyper(280,a,12125,a(flip),b,13727,a),flip(a)]. 13729 K(x,T(y,z \ ((u \ 1) * w))) = K(x,T(y,w * (u \ z))). [para(3(a,1),13728(a,1,2,2))]. 13730 K(x,T(y,z * ((u \ 1) * w))) = K(x,T(y,w * (u \ z))). [hyper(12138,a,13729,a)]. 13731 K(x,T(y,z * ((u \ 1) \ w))) = K(x,T(y,w * (u * z))). [para(378(a,1),13730(a,1,2,2,2,1)),flip(a)]. 13732 K(x,y) * K(y,T(x,z * (u \ w))) = K(x,K(y,w * ((u \ 1) * z))). [para(13730(a,1),5306(a,1,2))]. 13733 K(x,T(y,(z * (u \ (w \ 1))) * 1)) = K(x,T(y,z * ((u \ 1) \ w))). [hyper(280,a,12600,a(flip),b,13445,a),flip(a)]. 13734 K(x,L(y,z,u)) * (w * K(y,x)) = K(y,x) * (w * K(x,L(y,z,u))). [hyper(280,a,13197,a(flip),b,13550,a),flip(a)]. 13735 K(x,y) * (K(y,L(x,z,u)) * w) = w * (K(x,y) * K(y,L(x,z,u))). [hyper(12425,a,13551,a(flip)),flip(a)]. 13736 K(x,y) * (K(L(y,z,u),x) * w) = w * (K(y,L(x,z,u)) * K(x,y)). [para(9511(a,2),13551(a,1,2,1))]. 13737 K(x,y) * (T(K(y,L(x,z,u)),L(w,v5,v6)) * (K(w,L(K(y,L(x,z,u)),v5,v6)) * v7)) = v7 * (K(y,L(x,z,u)) * K(x,y)). [para(9532(a,2),13551(a,1,2))]. 13738 K(x,y) * (K(y,L(x,z,u)) * w) != v5 | w * (K(x,y) * K(y,L(x,z,u))) = v5. [para(13551(a,2),12425(a,1))]. 13739 ((x * (y \ 1)) * ((z * K(u,K(w,v5))) * T((z * K(u,K(w,v5))) \ ((x * (y \ 1)) \ v6),v7))) \ v6 = K(v7,((x * (y \ K(u,K(w,v5)))) * z) \ v6). [para(13557(a,1),4477(a,2,2,1))]. 13740 (x * y) / ((x * y) * a(x,y,z)) = (x * y) \ (a(x,y,z) \ (x * y)). [hyper(280,a,13567,a(flip),b,13569,a),flip(a)]. 13741 (x \ 1) * (y * (T(T(y,z),K(u,w)) \ v5)) = (x \ K(y,K(u,w))) * (K(z,y) * v5). [para(12420(a,1),13573(a,1,2))]. 13742 T(K(x,y) * L(z,u,K(w,v5)),T(z,v6)) = T(z,a(v5,u,w)) * K(x,y). [para(11747(a,2),13648(a,1,1,2))]. 13743 T(x * ((x * y) \ (a(z,u,K(w,v5)) * x)),L(y,x,a(w,u,K(v5,z)))) = L(y,x,a(w,u,K(v5,z))) \ (a(w,u,K(v5,z)) * x). [para(13669(a,1),10843(a,1,1))]. 13744 K(x,K(y,z)) * (K(y,L(T(x,z),u,w)) * v5) = K(y,L(x,u,w)) * v5. [para(3646(a,2),13708(a,1,2,1))]. 13745 (x \ y) * a(z,u,a(x,w,K(v5,v6))) = L(x,u,a(z,w,K(v5,v6))) \ y. [para(9700(a,2),13721(a,2,1,3))]. 13746 L(x,y,z) * (x \ a(x,u,K(w,v5))) = L(x,u,K(v5,w)) \ L(x,y,z). [para(11747(a,2),13726(a,2,1))]. 13747 K(x,K(y,z * ((u \ 1) * w))) != v5 | K(x,K(y,w * (u \ z))) = v5. [para(13732(a,1),5392(a,1))]. 13748 K(x,T(y,(z * (u \ (w \ 1))) * 1)) = K(x,T(y,w * (u * z))). [hyper(280,a,13731,a(flip),b,13733,a),flip(a)]. 13749 K(x,T(y,z * (u \ (w \ 1)))) = K(x,T(y,w * (u * z))). [para(3(a,1),13748(a,1,2,2))]. 13750 K(x * (y \ (z \ (u \ 1))),T(w,u * (z * y))) != v5 | K((y \ (z \ (u \ 1))) * x,w) = v5. [para(13749(a,1),12133(a,1))]. 13751 x * (K(y,x) * (z * K(x,L(y,u,w)))) = T(x,L(y,u,w)) * (z * K(y,x)). [para(13734(a,1),4019(a,1,2))]. 13752 K(x,L(y,z,u)) * (K(w,v5) * (v6 * K(y,x))) = K(y,x) * ((K(w,v5) * v6) * K(x,L(y,z,u))). [para(13197(a,1),13734(a,1,2))]. 13753 K(x,y) * (x * (K(y,L(x,z,u)) * w)) = (x * w) * (K(x,y) * K(y,L(x,z,u))). [para(9587(a,1),13735(a,1,2))]. 13754 K(x,y) * (K(y,L(x,z,u)) * w) != v5 | w * (K(y,L(x,z,u)) * K(x,y)) = v5. [para(13735(a,2),12425(a,1))]. 13755 T(x,K(y,z) * (K(z,L(y,u,w)) * v5)) = T(x,v5). [para(13735(a,2),13621(a,1,2))]. 13756 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [para(4268(a,1),13755(a,1,2,2)),flip(a)]. 13757 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(7294(a,1),13755(a,1,2))]. 13758 T(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y). [hyper(12180,a,13757,a)]. 13760 x * T(x,(K(y,L(z,u,w)) * v5) * (K(y,L(z,u,w)) * v5)) = T(x * x,K(y,z) * v5). [hyper(58,a,11055,a,b,13757,a)]. 13761 T(x,(K(y,z) * u) * w) = T(x,K(y,z) * (u * w)). [para(11090(a,1),13757(a,1,2))]. 13762 K(x,y * K(z,L(u,w,v5))) = T(x,K(u,z) * y) / x. [para(13757(a,1),12405(a,1,1)),flip(a)]. 13763 T(x,y \ K(z,L(u,w,v5))) = T(x,K(z,u) * (x / y)). [hyper(58,a,11308,a(flip),b,13758,a)]. 13764 K(x,y * K(z,L(u,w,v5))) = K(x,K(u,z) * y). [hyper(280,a,2887,a,b,13762,a),flip(a)]. 13766 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [hyper(12352,a,13764,a)]. 13767 K(x,L(y * K(z,L(u,w,v5)),v6,v7)) = K(L(x,v6,v7),K(u,z) * y). [hyper(9517,a,13764,a)]. 13768 K(x,K(y,z) * L(z,u,w)) = K(x,L(T(z,y),u,w)). [para(9565(a,1),13764(a,1,2)),flip(a)]. 13769 K(x,K(y,z) * (u * L(z,w,v5))) = K(x,u * L(T(z,y),w,v5)). [para(9594(a,1),13764(a,1,2)),flip(a)]. 13770 K(x,y * K(z,L(u,w,v5))) != v6 | K(x,y * K(u,z)) = v6. [para(13764(a,2),12203(a,1))]. 13771 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(z,L(y,v6,v7)))) = v5. [para(13764(a,1),13641(a,1))]. 13773 K(x,L(y,z,u) * (T(T(L(y,z,u),w),v5) \ v6)) = K(x,K(v5,y) * (v6 * K(w,L(y,z,u)))). [hyper(58,a,12744,a(flip),b,13766,a)]. 13774 K(K(x,L(y,z,u)) * w,v5) = K(v5,K(x,y) * (w \ 1)). [hyper(58,a,12394,a(flip),b,13766,a)]. 13775 K(x,K(y,z) * ((y * L(z,u,w)) \ v5)) = K(x,(L(z,u,w) * y) \ v5). [para(4261(a,1),13766(a,1,2)),flip(a)]. 13776 K(x,L(y,z,u) * (T(T(L(y,z,u),w),v5) \ v6)) = K(x,K(w,y) * (K(v5,T(L(y,z,u),w)) * v6)). [para(4396(a,1),13766(a,1,2))]. 13777 T(x,y \ K(z,L(u,w,v5))) = T(x,y \ K(u,z)). [hyper(280,a,12313,a(flip),b,13763,a),flip(a)]. 13778 K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). [hyper(280,a,12394,a(flip),b,13774,a),flip(a)]. 13780 K(x,L(y * K(z,L(u,w,v5)),v6,v7)) = K(x,L(K(u,z) * y,v6,v7)). [hyper(280,a,9511,a(flip),b,13767,a),flip(a)]. 13781 K(x,L(T(y / T(z,L(u,w,v5)),z),v6,v7)) = K(x,L(K(z,u) * (z \ y),v6,v7)). [para(9533(a,2),13780(a,1,2,1))]. 13782 (x \ y) * (K(z,L(x,u,w)) * K(x,z)) = K(x,z) * (T(x,L(z,u,w)) \ y). [para(4276(a,1),13736(a,1,2)),flip(a)]. 13783 T(K(x,y) * L(z,u,K(w,v5)),T(z,v6)) = L(z,u,K(w,v5)) * K(x,y). [para(11747(a,2),13742(a,2,1))]. 13784 K(x,K(y,z)) * (K(y,L(x,u,w)) * v5) = K(y,L(T(x,z),u,w)) * v5. [hyper(5330,a,13744,a)]. 13785 K(x,y * (z * K(u,L(w,v5,v6)))) = K(x,K(u,w) * (y * z)). [hyper(13771,a,11953,a)]. 13786 K(x,y * (K(z,L(u,w,v5)) * v6)) = K(x,K(z,u) * (y * v6)). [hyper(12571,a,13785,a)]. 13787 K(x,y * (z * K(u,L(w,v5,v6)))) != v7 | K(x,K(w,u) * (y * z)) = v7. [para(13785(a,2),11954(a,1))]. 13788 K(x,y * (K(z,L(u,w,v5)) * v6)) = K(x,y * (v6 * K(u,L(z,v7,v8)))). [hyper(13771,a,13786,a(flip)),flip(a)]. 13789 K(x,K(y,z)) * (K(y,L(x,u,w)) * K(v5,v6)) = K(v5,v6) * K(y,L(T(x,z),u,w)). [hyper(280,a,12191,a,b,13784,a),flip(a)]. 13790 K(x,y * (z * K(u,L(w,v5,v6)))) = K(x,y * (K(w,u) * z)). [para(322(a,1),13788(a,1,2,2,1,2)),flip(a)]. 13791 K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). [hyper(58,a,13785,a(flip),b,13790,a)]. 13792 K(x,(y \ z) * (K(y,u) * w)) = K(x,(T(y,u) \ z) * w). [hyper(58,a,13651,a(flip),b,13791,a),flip(a)]. 13793 L(a(x,x,y),z,K(u,w)) \ (K(u,w) * z) = ((K(u,w) * z) / (z * a(x,x,y))) * z. [hyper(10468,a,13184,a),flip(a)]. 13794 (x * y) * L(z,T(T(x,y),u),K(u,T(x,y)) * y) = (y * K(u,T(x,y))) * (T(T(x,y),u) * z). [para(101(a,1),13248(a,1,1))]. 13795 T(x,L(y,z,u)) * K(x,K(y,w)) = x * K(L(x,z,u),T(y,w)). [para(8335(a,1),13304(a,1,2))]. 13797 K(x,L(y,z,u)) * T(x,K(y,w)) = x * K(L(x,z,u),T(y,w)). [hyper(3939,a,13795,a)]. 13798 T(K(x,L(y,z,u)) * x,K(y,w)) = x * K(L(x,z,u),T(y,w)). [hyper(12693,a,13797,a)]. 13799 T(T(x,L(y,z,u)),K(y,w)) = x * K(L(x,z,u),T(y,w)). [para(2888(a,2),13798(a,1,1))]. 13800 T(T(x,L(y,z,u)),K(y,w)) = x * K(x,L(T(y,w),z,u)). [para(9511(a,1),13799(a,2,2))]. 13801 T(T(x,L(y,z,u)),K(y,w)) != v5 | T(x,L(T(y,w),z,u)) = v5. [para(13800(a,2),2916(a,1))]. 13802 T(x,(y * (z * u)) / (y * z)) != w | T(x,L(T(u,y * z),z,y)) = w. [para(11495(a,1),13801(a,1))]. 13803 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [hyper(13165,a,13351,a),flip(a)]. 13805 (K(x,K(y,z)) * u) \ w = K(x,K(y,z)) * (u \ w). [hyper(280,a,12164,a,b,13803,a),flip(a)]. 13806 K(x,K(y,z)) * ((u * w) \ ((K(x,K(y,z)) * u) * (L(w,u,K(x,K(y,z))) * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [hyper(1189,a,13805,a),flip(a)]. 13807 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [hyper(642,a,13805,a),flip(a)]. 13808 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) * (x \ w). [para(12164(a,1),13805(a,1,1))]. 13809 (x * (T(T(x,y),K(z,u)) \ w)) \ v5 = K(x,K(z,u)) * ((K(y,x) * w) \ v5). [para(12415(a,1),13805(a,1,1))]. 13810 (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). [para(13101(a,1),13805(a,1,1))]. 13811 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [para(13340(a,1),13805(a,1,1))]. 13812 K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). [para(13807(a,2),12519(a,1,2))]. 13813 K(x,(T(y,K(z,u)) * w) \ v5) = K(x,(y * w) \ v5). [para(4053(a,1),13812(a,1,2,1)),flip(a)]. 13814 K(x,(y * T(z,K(u,w))) \ v5) = K(x,(y * z) \ v5). [para(12319(a,1),13812(a,1,2,1))]. 13815 K(x,(T(y \ 1,K(z,u)) * ((w \ 1) * y)) \ v5) = K(x,(((w * y) \ 1) * y) \ v5). [para(7030(a,1),13813(a,2,2,1))]. 13816 K(x,(y * (K(z,u) * w)) \ v5) = K(x,(y * (w * K(z,u))) \ v5). [para(897(a,1),13814(a,1,2,1,2)),flip(a)]. 13817 (x * (y * (z * K(u,K(w,v5))))) \ v6 = K(u,K(w,v5)) * ((x * (y * z)) \ v6). [para(13096(a,1),13810(a,1,1,2))]. 13818 K(x,y) * ((z * K(y,x)) * K(x,L(y,u,w))) = K(x,L(y,u,w)) * z. [hyper(13599,a,13253,a)]. 13819 K(x,y) * ((z * K(y,x)) * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(13599,a,12681,a(flip))]. 13820 (x * K(y,z)) * K(u,w) = (x * K(u,w)) * K(y,z). [hyper(29,a,5356,a,b,13819,a)]. 13822 T(x,K(y,z)) != K(y,z) * ((u * K(z,y)) * K(w,v5)) | u * K(w,v5) = x. [para(13819(a,2),44(a,1)),flip(a)]. 13823 ((x * K(y,z)) * K(u,w)) * y = (x * K(u,w)) * T(y,z). [para(13820(a,1),3377(a,1,1))]. 13825 ((x \ y) * K(z,u)) * T(x,y) = ((y / x) * K(z,u)) * x. [para(2993(a,1),13823(a,1,1,1)),flip(a)]. 13826 K(x,L(y,z,u)) * (w * K(x,y)) = K(x,y) * (w * K(x,L(y,z,u))). [para(4324(a,1),13818(a,1,2,1)),flip(a)]. 13827 K((x * K(y,z)) * K(z,L(y,u,w)),v5) = K(K(y,z) * (x * K(y,L(z,u,w))),v5). [para(13826(a,1),12393(a,1,1)),flip(a)]. 13828 T(x,K(y,z) * (u * (w * K(z,y)))) = T(x,u * w). [hyper(58,a,13755,a(flip),b,13607,a),flip(a)]. 13829 T(x,K(y,z) * (u * (w * K(y,z)))) = T(x,u * w). [hyper(12349,a,13828,a)]. 13830 T(x,K(y,z) * (u * (K(y,z) * w))) = T(x,u * T(w,K(z,y))). [para(3531(a,1),13829(a,1,2,2,2))]. 13831 T(x,K(y,z) * (u * (K(y,z) * w))) = T(x,u * w). [hyper(280,a,12527,a(flip),b,13830,a),flip(a)]. 13833 K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(v5,w)). [hyper(13770,a,13647,a),flip(a)]. 13834 K(x,y \ (z * (u * K(w,v5)))) != v6 | K(x,K(w,v5) * (y \ (z * u))) = v6. [para(13833(a,2),12293(a,1))]. 13835 (x * L(T(T(y \ 1,L(z,u,w) \ z),v5),y,x)) \ (x * K(v5,y)) = T(y,L(z,u,w) \ z). [para(6527(a,2),13214(a,1,1))]. 13837 K(x,T((y * (z * u)) / u,(y * z) / u)) = K(x,u \ (y * (z * u))). [hyper(280,a,3798,a(flip),b,13224,a),flip(a)]. 13838 K(x,L(y,z,u) * ((u * z) / y)) = K(x,y \ (u * (z * y))). [para(2220(a,1),13837(a,1,2))]. 13839 K(x,((y * z) * T(u,z)) / y) = K(x,y \ (u * (z * y))). [para(11148(a,1),13838(a,1,2))]. 13840 L(x,y,K(z,u) * (w * K(z,T(v5,u)))) = L(x,y,T(T(z,u),v5) * (z \ w)). [para(5020(a,1),13297(a,1,3))]. 13841 K(x,L(T(y * (z * (y * z)),u),w,v5)) = K(x,L(y * (z * (y * z)),w,v5)). [hyper(29,a,13202,a(flip),b,13544,a(flip)),flip(a)]. 13843 L(x * a(y,z,K(u,w)),v5,K(v6,v7)) = L(x,v5,K(v6,v7)) * a(y,z,K(u,w)). [para(11747(a,2),13578(a,2,1))]. 13844 (x * y) / (a(z,u,K(w,v5)) * y) = y \ ((a(v5,u,K(w,z)) * y) * x). [para(897(a,1),13616(a,1,1))]. 13846 x \ ((a(y,z,K(u,w)) * x) * (v5 * a(w,z,K(u,y)))) = L(v5,a(w,z,K(u,y)),x). [hyper(11088,a,13844,a),flip(a)]. 13847 (x * y) / (y * a(z,u,K(w,v5))) = y \ ((a(v5,u,K(w,z)) * y) * x). [para(13146(a,1),13844(a,1,2))]. 13848 K(x,y / ((z \ 1) * (u * (T(T(u,w),K(v5,v6)) \ v7)))) = K(x,y * ((K(u,K(v5,v6)) * ((K(w,u) * v7) \ 1)) * z)). [para(13809(a,1),10615(a,2,2,2,1))]. 13850 T(x \ ((x * K(y,z)) * u),K(y,z)) = (u * (K(y,z) * x)) / x. [hyper(2222,a,13206,a),flip(a)]. 13852 T(x \ ((x * K(y,z)) * u),K(y,z)) = x / (K(z,y) * (u \ x)). [hyper(280,a,4307,a(flip),b,13850,a),flip(a)]. 13853 T(x \ ((x * K(y,z)) * u),K(z,y)) = x / (K(z,y) * (u \ x)). [hyper(5376,a,13852,a)]. 13854 T(x \ ((x * K(y,z)) * u),K(z,y) \ 1) = x / (K(z,y) * (u \ x)). [hyper(3838,a,13852,a)]. 13857 K(L(x,y,z) * (z * y),x * (z * y)) = a(z * (y * x),y,K(x,z)). [hyper(280,a,13422,a(flip),b,13383,a),flip(a)]. 13858 K(L(x,y,z) * (z * y),x * (z * y)) = a(y * x,y,K(x,z)). [hyper(280,a,10756,a(flip),b,13857,a),flip(a)]. 13859 a(x * y,x,K(y,z)) * a(z,x,T(y,z * x)) = (y * (z * x)) / (L(y,x,z) * (z * x)). [para(13858(a,1),3006(a,1,1))]. 13860 K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,u * (z * w)),v5,v6)). [hyper(13662,a,12142,a)]. 13861 K(x,L(T(y,(z * u) * w),v5,v6)) != v7 | K(x,L(T(y,(w / u) / z),v5,v6)) = v7. [para(12408(a,1),13663(a,1))]. 13862 K(x,L(T(y,L(z,u,w)) \ v5,v6,v7)) = K(x,L(K(y,z) * (y \ v5),v6,v7)). [hyper(58,a,12386,a(flip),b,13781,a)]. 13863 K(x,L(K(y,z) * (y \ u),w,v5)) = K(x,L(T(y,z) \ u,w,v5)). [para(322(a,1),13862(a,1,2,1,1,2)),flip(a)]. 13864 K(x,L((y * (z / y)) \ u,w,v5)) = K(x,L(T(z,y) \ u,w,v5)). [para(4493(a,2),13863(a,1,2,1))]. 13865 ((x * y) * R(z,x,y)) \ ((x * y) * z) = (z * x) \ ((z * (x * y)) / y). [hyper(110,a,13124,a(flip),b,11578,a(flip)),flip(a)]. 13868 (((x * y) * R(z / (x * y),x,y)) \ z) * K(x * y,z) = ((z / (x * y)) * x) \ (((z / (x * y)) * (x * y)) / y). [hyper(58,a,10745,a(flip),b,13865,a)]. 13869 ((x * y) * R(x,x,y)) \ (x * (y * x)) = (x * x) \ ((x * (x * y)) / y). [para(857(a,1),13865(a,1,2))]. 13870 ((x * y) * R(K(z,u * u),x,y)) \ ((x * y) * K(z,u * u)) = (x * K(z,u * u)) \ ((K(z,u * u) * (x * y)) / y). [para(11041(a,1),13865(a,2,1))]. 13871 (x * (x * y)) \ ((x * x) * y) = (y * x) \ ((y * (x * x)) / x). [para(11100(a,1),13865(a,1,1))]. 13872 (x * y) \ ((x * (y * y)) / y) = a(y,y,x). [hyper(823,a,13871,a),flip(a)]. 13873 (x * y) \ ((x / y) * (y * y)) = a(y,y,x). [para(7157(a,1),13872(a,1,2))]. 13874 x \ (((x / y) * (y * y)) / y) = a(y,y,x). [hyper(58,a,6948,a(flip),b,13873,a)]. 13876 (x * y) * R(x,x,y) = (x * x) * T(y,x). [hyper(34,a,4569,a,b,13869,a),flip(a)]. 13877 T((x * x) * y,x) = (x * x) * T(y,x). [hyper(11398,a,13876,a)]. 13878 T((x * x) * (x * y),x) = (x * x) * (y * x). [hyper(280,a,914,a(flip),b,13877,a),flip(a)]. 13879 T((x * x) * y,x) / (y * x) = L(x,x,y). [hyper(112,a,13877,a,b,11104,a)]. 13880 (x * (y * x)) \ T((x * x) * y,x) = a(x,x,T(y,x)). [hyper(111,a,13877,a,b,822,a)]. 13881 T((x * x) * (y / x),x) = (x * x) * (x \ y). [para(103(a,1),13877(a,2,2))]. 13883 T((x * x) * y,x) / L(x * T(y,x),x,a(x,x,T(y,x))) = x * a(x,x,T(y,x)). [para(13877(a,2),11463(a,1,1))]. 13884 T((x * x) * y,x) / (y * x) = L(x,x,T(y,x \ 1)). [hyper(280,a,6673,a,b,13879,a),flip(a)]. 13885 x * (T(y,x \ 1) * (x * x)) = (x * x) * (y * x). [hyper(58,a,11381,a,b,13878,a)]. 13886 (x * y) \ ((x * x) * (x \ y)) = y \ (((y / x) * (x * x)) / x). [para(13881(a,1),11435(a,1,2))]. 13887 x * T((x * x) * y,x) = (x * x) * (y * x). [para(11378(a,2),13885(a,1,2))]. 13888 ((x * x) * y) * x = (x * x) * (y * x). [hyper(259,a,13887,a)]. 13889 (x * y) * (x * T(x,y)) = (x * x) * (y * x). [hyper(58,a,11388,a,b,13888,a)]. 13890 T((x * x) * (y * x),T((x * x) * y,x)) = x * ((x * x) * y). [para(13888(a,1),913(a,1,1))]. 13891 (T(x,y) * K(x,T(x,y))) * (T(x,y) * T(T(x,y),K(x,T(x,y)))) = K(x,T(x,y)) * ((T(x,y) * T(x,y)) * T(x,y)). [hyper(280,a,6511,a(flip),b,13889,a),flip(a)]. 13892 (T(x,y \ 1) * y) \ ((T(x,y \ 1) * (y * y)) / y) = a(y,y,T(x,y)). [hyper(58,a,11900,a,b,13880,a)]. 13893 x \ (((x / y) * (y * y)) / y) = a(y,y,y \ x). [hyper(1415,a,13886,a),flip(a)]. 13894 a(x,x,x \ y) = a(x,x,y). [hyper(58,a,13874,a(flip),b,13893,a),flip(a)]. 13895 ((x * x) / (y \ x)) \ (x * y) = a(y,y,x). [hyper(58,a,11860,a(flip),b,13894,a)]. 13896 a(x,x,y) * (x * (x * (x \ y))) = (x * x) * (x \ y). [para(13894(a,1),11448(a,1,1))]. 13897 a(x,x,y) * (x * y) = (x * x) * (x \ y). [para(5(a,1),13896(a,1,2,2))]. 13899 (x * y) \ ((T(y,x \ 1) * (x * x)) / x) = a(x,x,T(y,x)). [para(3512(a,1),13892(a,1,1))]. 13900 (x * y) \ (T((x * x) * y,x) / x) = a(x,x,T(y,x)). [para(11378(a,2),13899(a,1,2,1))]. 13901 (x * y) \ (x \ ((x * x) * y)) = a(x,x,T(y,x)). [para(929(a,1),13900(a,1,2))]. 13902 (x * y) \ ((x * x) * (x \ y)) = a(x,x,T(y,x)). [para(7092(a,1),13901(a,1,2))]. 13903 a(x,x,T(y,x)) = a(x,x,x \ y). [hyper(1415,a,13902,a),flip(a)]. 13904 a(x,x,T(y,x)) = a(x,x,y). [hyper(280,a,13894,a(flip),b,13903,a),flip(a)]. 13905 L(a(x,y,K(z,u)),a(w,v5,K(v6,v7)),v8) * (v8 * a(w,v5,K(v6,v7))) = (a(w,v5,K(v6,v7)) * a(x,y,K(z,u))) * v8. [para(13146(a,1),13157(a,2,1))]. 13907 (x * L(y,z,u)) * (y * K(w,K(v5,v6))) = (x * y) * (L(y,z,u) * K(w,K(v5,v6))). [hyper(13097,a,13336,a),flip(a)]. 13908 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(v5 * K(x,K(y,z)),w,u). [hyper(13341,a,13430,a),flip(a)]. 13909 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) != v6 | L(v5 * K(x,K(y,z)),w,u) = v6. [para(13430(a,1),13341(a,1))]. 13910 L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). [para(13(a,2),13908(a,1,2)),flip(a)]. 13911 L(K(x,K(y,z)) * u,w,v5) = K(x,K(y,z)) * L(u,w,v5). [para(12164(a,2),13910(a,1,1))]. 13912 x * L(y * K(z,K(u,w)),v5,v6) = x * (L(y,v5,v6) * K(z,K(u,w))). [para(13910(a,2),12179(a,1,2))]. 13913 L(x * K(y,K(z,u)),w,v5) * v6 = L(x,w,v5) * (v6 * K(y,K(z,u))). [para(13910(a,2),13348(a,1,1))]. 13914 L(K(x,K(y,z)) * K(u,w),v5,v6) = K(x,K(y,z)) * K(u,L(w,v5,v6)). [para(9384(a,1),13911(a,2,2))]. 13915 (T(x,K(y,z)) / u) * (u * L(u \ ((T(x,K(y,z)) / u) \ w),v5,v6)) = x * L((T(x,K(y,z)) \ w) * K(x,K(y,z)),v5,v6). [hyper(280,a,12333,a,b,13912,a)]. 13916 L(x,y,z) * (u * K(w,K(v5,u * x))) = u * L(T(u \ x,K(w,v5)) * u,y,z). [hyper(58,a,12502,a(flip),b,13913,a),flip(a)]. 13917 L(K(x,K(y,z * u)) * K(x,T(y,z)),z,u) = K(x,(u * (y * z)) / (u * z)). [hyper(280,a,13086,a(flip),b,13914,a),flip(a)]. 13918 L(K(x,K(y,z)) * K(z,u),w,v5) * K(y * x,z) = K(x * y,z) * K(z,L(u,w,v5)). [para(13914(a,2),12342(a,1,1))]. 13919 L(K(x,T(T(y,z),z * u)),z,u) = K(x,(u * (y * z)) / (u * z)). [para(12150(a,1),13917(a,1,1))]. 13920 K(x,L(T(T(y,z),z * u),z,u)) = K(x,(u * (y * z)) / (u * z)). [hyper(9433,a,13919,a)]. 13921 K(x,(y * (z * u)) / (y * u)) != w | K(x,L(T(T(z,u),u * y),u,y)) = w. [para(13919(a,1),9433(a,1))]. 13922 K(x,(y * (z * u)) / (y * u)) = (u * y) \ ((u * K(x,z)) * y). [hyper(58,a,11116,a(flip),b,13920,a),flip(a)]. 13923 K(x,(y * ((z * u) * u)) / (y * u)) = R(T(K(x,u * z),u * y),u,y). [hyper(280,a,3919,a(flip),b,13922,a),flip(a)]. 13924 K(x,(y * ((z * u) * u)) / (y * u)) = R(K(x,T(u * z,u * y)),u,y). [para(3631(a,2),13923(a,2,1))]. 13925 K(x,(y * ((z * u) * u)) / (y * u)) = K(x,L(T(u * z,u * y),u,y)). [hyper(280,a,11094,a(flip),b,13924,a),flip(a)]. 13926 K(x,(y * z) / (y * ((u * z) \ z))) = K(x,L(T(z * u,z * y),z,y)). [hyper(58,a,9652,a(flip),b,13925,a)]. 13927 K(x,(y * z) / (y * (z \ (u \ z)))) = K(x,L(T(z * u,z * y),z,y)). [para(479(a,1),13926(a,1,2,2,2))]. 13928 K(x,(y * z) / (y * (u \ z))) != w | K(x,L(T(T(u,z),z * y),z,y)) = w. [para(9652(a,1),13921(a,1))]. 13929 L(T(x,L(y,z,u)),w,v5) * K(y,T(v6,x)) = T(K(y,v6) * L(x,w,v5),L(y,z,u)). [para(20(a,2),13368(a,1,1))]. 13930 (L(x,y,K(z,u)) \ w) * a(v5,v6,K(x,v7)) = L(T(x,a(v7,v6,v5)),y,K(z,u)) \ w. [para(20(a,2),13372(a,2,1))]. 13931 a(x \ 1,y,K(z,L(u,x,w))) * (w / x) = w * T(L(x \ 1,x,w),a(u,y,z)). [para(10923(a,1),13399(a,1,1))]. 13932 (x * K(y,z)) * (K(y,K(z,u)) * w) = (x * K(y,T(z,u))) * w. [para(12163(a,1),13439(a,1,2,1))]. 13933 ((x * K(y,z)) * ((K(y,K(z,u)) * w) * v5)) \ (((x * K(y,T(z,u))) * w) * v5) = a(x * K(y,z),K(y,K(z,u)) * w,v5). [para(13932(a,1),9(a,2,2,1)),flip(a)]. 13935 (x * K(y,z)) * (u * (w * K(y,K(z,v5)))) = (x * K(y,T(z,v5))) * (u * w). [para(13101(a,1),13932(a,1,2))]. 13936 K(x,L(y,z,u)) * (w * (K(y,L(x,z,u)) * T(y,v5))) = T(w,K(x,y)) * T(y,v5). [para(3369(a,1),13548(a,1,2))]. 13937 T(x,T((y * (z * K(u,w))) \ x,K(u,w))) = T(x,T(y,z) \ (z \ K(w,u))). [hyper(280,a,10785,a(flip),b,13609,a),flip(a)]. 13938 (a(x,y,K(z,u)) * T(u,w)) \ T(u,v5) = T(T(u,v5),a(x,y,z)) * (u \ K(w,u)). [para(13274(a,1),13722(a,1,1))]. 13939 x / (K(y,z) * (a(z,u,K(w,v5)) \ x)) = x / (z * (T(T(z,y),a(v5,u,w)) \ x)). [hyper(58,a,4307,a(flip),b,13723,a)]. 13940 (x * y) * (K(x,z) * K(z,L(x,u,w))) = T(x,z) * (K(z,L(x,u,w)) * y). [hyper(4104,a,13753,a),flip(a)]. 13941 ((T(x,y) * K(y,L(x,z,u))) / w) * L(w,K(y,L(x,z,u)),T(x,y)) = ((x * w) * (K(x,y) * K(y,L(x,z,u)))) / w. [para(13940(a,2),2206(a,2,1))]. 13942 T(T(x,(K(y,L(z,u,w)) * v5) * T(z,y)) * T(z,y),x) = T(z,y) * T(x,(z * v5) * (K(z,y) * K(y,L(z,u,w)))). [para(13940(a,2),5799(a,2,2,2))]. 13943 K(K(x,y),z) * (K(y,L(x,u,w)) * K(v5,v6)) = K(v5,v6) * K(y,L(T(x,z),u,w)). [para(5254(a,2),13789(a,1,1))]. 13944 K(x,(((y * T(z,K(u,w))) \ 1) * z) \ v5) = K(x,(((y * z) \ 1) * z) \ v5). [para(11519(a,1),13815(a,1,2,1))]. 13945 K(x,(((y * z) \ 1) * z) \ u) != w | K(x,((z \ 1) * (y * T(z,K(v5,v6)))) * u) = w. [para(13944(a,1),10808(a,1))]. 13946 K(K(x,y) * (z * K(x,L(y,u,w))),v5) = K(z * (K(y,L(x,u,w)) * K(x,y)),v5). [para(5948(a,1),13827(a,1,1)),flip(a)]. 13947 x \ ((a(y,z,K(u,w)) * x) * ((a(w,z,K(u,y)) \ T(v5,x)) * a(w,z,K(u,y)))) = (x * a(w,z,K(u,y))) \ (v5 * x). [hyper(280,a,574,a(flip),b,13846,a),flip(a)]. 13948 (x * L(y,z,u)) * (y * K(w,K(v5,v6))) = (x * y) * L(y * K(w,K(v5,v6)),z,u). [hyper(280,a,13912,a,b,13907,a),flip(a)]. 13949 T(K(x,y) * L(z,u,w),L(x,v5,v6)) = K(x,y) * L(T(z,L(x,v5,v6)),u,w). [hyper(13601,a,13929,a),flip(a)]. 13950 L(T(K(x,y) * L(y,x,z),L(x,u,w)),u,K(w,K(x,y))) = (K(x,y) * L(K(x,y) \ 1,u,w)) * L(y,x,z). [para(13949(a,2),12067(a,1,1))]. 13951 (a(x,y,K(z,u)) \ 1) * (z \ L(z,w,K(v5,v6))) = (L(T(z,a(u,y,x)),w,K(v5,v6)) \ z) \ 1. [para(13930(a,1),1268(a,1,1)),flip(a)]. 13952 a(x,y,K(z,L(u,z,w))) * (w / z) = w * T(L(z \ 1,z,w),a(u,y,x)). [para(10534(a,1),13931(a,1,1))]. 13953 x * T(L(y \ 1,y,x),a(z,u,w)) = a(w,u,K(y,z)) * (x / y). [para(5162(a,1),13952(a,1,1,3)),flip(a)]. 13954 a(x,y,K(z,u)) * (w / z) = w / T(z,a(u,y,x)). [hyper(58,a,4878,a(flip),b,13953,a),flip(a)]. 13956 (x / y) * a(y,z,K(u,w)) = x / T(y,a(u,z,w)). [hyper(13447,a,13954,a)]. 13957 (x / y) * a(y,z,K(u,w)) = x / L(y,z,K(w,u)). [para(11747(a,2),13956(a,2,2))]. 13958 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(13957(a,1),13623(a,1,2))]. 13959 K(x,y / ((K(z,u) * w) \ v5)) = K(x,y / (w \ (K(u,z) * v5))). [para(4287(a,1),13958(a,1,2,2))]. 13960 K(x,y) * K(y,T(x,z / (u \ (K(w,v5) * v6)))) = K(x,K(y,z / ((K(v5,w) * u) \ v6))). [para(13959(a,2),5306(a,2,2))]. 13961 T(x * T(y,z),K(y,u)) = T(x,K(u,y)) * T(y,z). [hyper(58,a,13587,a(flip),b,13936,a)]. 13962 T(x * T(y,z),K(u,y)) = T(x,K(u,y)) * T(y,z). [hyper(5376,a,13961,a)]. 13963 T(x * T(K(y,z) * u,u),K(K(y,z) * u,w)) = T(x,K(w,K(y,z) * u)) * (u * K(y,z)). [para(5542(a,1),13961(a,2,2))]. 13964 T(T(x,y) * T(z,u),K(y,z)) = T(x,T(y,z)) * T(z,u). [para(5748(a,1),13962(a,2,1))]. 13965 T(T(x,y) * T(z,y),x) = T(z,T(y,x)) * T(x,y). [hyper(58,a,4610,a(flip),b,13964,a)]. 13966 T(T(x,x * y) * T(z,x * y),x) = T(z,y * x) * T(x,x * y). [para(897(a,1),13965(a,2,1,2))]. 13967 T(T(x,x * y) * T(z,x * y),x) = T(z,y * x) * T(x,y). [para(435(a,1),13966(a,2,2))]. 13968 T(T(x,y) * T(z,x * y),x) = T(z,y * x) * T(x,y). [para(435(a,1),13967(a,1,1,1))]. 13969 T(x,y * z) * T(z,y) = T(T(x * z,y),z). [para(11010(a,1),13968(a,1,1)),flip(a)]. 13970 T(T((x * x) * x,y),x) = T(x * x,y) * T(x,y). [para(11203(a,1),13969(a,1,1)),flip(a)]. 13971 T(a(x,y,K(z,u)) * u,w) \ T(u,v5) = T(T(u,v5),a(x,y,z)) * (u \ K(w,u)). [para(13541(a,2),13938(a,1,1))]. 13972 x / (K(y,z) * (a(u,w,K(v5,z)) * x)) = x / (z * (T(T(z,y),a(u,w,v5)) \ x)). [para(10537(a,1),13939(a,1,2,2))]. 13973 K(x,T(y,z)) * K(y,L(x,u,w)) = K(x,y) * K(y,L(T(x,z),u,w)). [hyper(12784,a,13943,a)]. 13974 T(K(x,K(y,z)) * a(z,u,K(y,w)),K(y,z)) = K(z,y) * K(y,L(T(z,x),u,w)). [hyper(58,a,11511,a,b,13973,a)]. 13975 T(T(x,y),a(z,u,w)) * (x \ K(v5,x)) = T(T(x,a(w,u,z)),v5) \ T(x,y). [para(10545(a,1),13971(a,1,1,1)),flip(a)]. 13976 T(T(x,a(y,z,u)),w) \ T(x,v5) = T(x,w) \ T(T(x,v5),a(u,z,y)). [hyper(58,a,11265,a(flip),b,13975,a),flip(a)]. 13977 T(L(x,y,K(z,u)),w) \ T(x,v5) = T(x,w) \ T(T(x,v5),a(z,y,u)). [para(11747(a,2),13976(a,1,1,1))]. 13978 L(T(x,y),z,K(u,w)) \ T(x,v5) = T(x,y) \ T(T(x,v5),a(u,z,w)). [para(20(a,2),13977(a,1,1))]. 13979 L(T(x,y),z,K(u,w)) \ T(x,v5) = T(x,y) \ L(T(x,v5),z,K(w,u)). [para(11747(a,2),13978(a,2,2))]. 13980 K(x,y) * (a(z,u,K(w,y)) * v5) = y * (T(T(y,x),a(z,u,w)) \ v5). [hyper(40,a,13972,a)]. 13981 K(x,y) * (z * a(y,u,K(w,v5))) = y * (T(T(y,x),a(w,u,v5)) \ z). [hyper(58,a,13309,a(flip),b,13980,a)]. 13982 K(x,y) * (z * a(u,w,K(v5,y))) = y * (T(T(y,x),a(u,w,v5)) \ z). [hyper(58,a,13155,a(flip),b,13980,a)]. 13984 K(x,y) * (z * a(y,u,K(w,v5))) = y * (L(T(y,x),u,K(v5,w)) \ z). [para(11747(a,2),13981(a,2,2,1))]. 13985 a(x,y,K(z,u)) * (w * a(v5,v6,K(v7,u))) = u * (T(T(u,a(x,y,z)),a(v5,v6,v7)) \ w). [para(9700(a,2),13982(a,1,1))]. 13986 T(K(x,K(y,z)) * a(y,u,K(x,w)),K(x,y)) = K(y,x) * K(x,L(T(y,z),u,w)). [para(5281(a,2),13974(a,1,1,1))]. 13988 T(x,L(y,z,u)) \ K(T(x,L(y,z,u)),y) = T(T(x \ 1,L(y,z,u)),x / y). [hyper(280,a,5611,a(flip),b,13219,a),flip(a)]. 13989 T(x,L(y,z,u)) \ K(T(x,L(y,z,u)),y) = T(x \ K(x,y),L(y,z,u)). [hyper(280,a,4771,a(flip),b,13988,a),flip(a)]. 13990 T(x \ K(x,y),L(y,z,u)) = T(x,L(y,z,u)) \ K(x,y). [para(3633(a,1),13989(a,1,2)),flip(a)]. 13992 T(x \ K(x,y),L(y,z,u)) * (y * (x / y)) = K(y,L(x,z,u)). [para(13990(a,2),12870(a,1,1))]. 13993 K(x \ K(x,y),L(y,z,u)) * ((x \ K(x,y)) * (y * (x / y))) = K(y,L(x,z,u)). [hyper(4532,a,13992,a)]. 13994 K(x \ K(x,y),L(y,z,u)) * T(K(x,y) * K(y,x),x) = K(y,L(x,z,u)). [para(4531(a,1),13993(a,1,2))]. 13995 K(x \ K(x,y),L(y,z,u)) * T(1,x) = K(y,L(x,z,u)). [para(3416(a,1),13994(a,1,2,1))]. 13996 K(x \ K(x,y),L(y,z,u)) * 1 = K(y,L(x,z,u)). [para(186(a,1),13995(a,1,2))]. 13998 K(x \ K(x,y),L(y,z,u)) = K(y,L(x,z,u)). [hyper(121,a,13996,a)]. 14000 x * T(x \ K(x,y),L(y,z,u)) = K(x,y) * K(y,L(x,z,u)). [para(13998(a,1),3381(a,2,2))]. 14001 a(x,y,z) * T(a(x,y,z) \ a(x,y,K(z,u)),L(u,w,v5)) = K(a(x,y,z),u) * K(u,L(a(x,y,z),w,v5)). [para(9700(a,2),14000(a,1,2,1,2))]. 14003 K(x,(T(T(y,z),u) * w) \ ((z \ y) * T(y,u))) != v5 | K(x,L(w \ (z \ y),w,y)) = v5. [para(13238(a,1),13245(a,1))]. 14005 (K(x,L(y,z,u)) * (z * u)) \ (K(x,y) * (z * u)) = a(u,T(z,u),K(x,y)). [para(9454(a,1),13381(a,1,1))]. 14006 ((K(x,y) * z) * u) \ (K(x,y) * (z * u)) = a(u,T(z,u),K(x,y)). [para(11090(a,1),14005(a,1,1))]. 14007 (K(x,y) * z) \ ((K(x,y) * (z * u)) / u) = a(u,T(z,u),K(x,y)). [hyper(58,a,2420,a(flip),b,14006,a)]. 14008 x * (y * a(z,u,K(w,v5))) != v6 | x * (a(z,u,K(w,v5)) * y) = v6. [para(13618(a,1),259(a,1))]. 14009 K(x,y * (T(T(y,z),L(u,w,v5)) \ (v5 * w))) = K(x,K(y,z) * (v5 * (w * K(y,u)))). [para(18(a,1),13720(a,1,2,2,1))]. 14010 ((K(x,y) * z) / (z * a(u,u,w))) * z = a(u,u,w) \ (K(x,y) * z). [para(11754(a,1),13793(a,1,1)),flip(a)]. 14012 T((x * x) * y,x) / L(y * x,x,a(x,x,T(y,x))) = x * a(x,x,T(y,x)). [para(101(a,1),13883(a,1,2,1))]. 14013 T((x * x) * y,x) / L(y * x,x,a(x,x,y)) = x * a(x,x,T(y,x)). [para(13904(a,1),14012(a,1,2,3))]. 14014 T((x * x) * y,x) / L(y * x,x,a(x,x,y)) = x * a(x,x,y). [para(13904(a,1),14013(a,2,2))]. 14015 K(x,((y \ 1) * (z * T(y,K(u,w)))) * v5) = K(x,(y * (z * (y \ 1))) * v5). [hyper(13945,a,12006,a)]. 14016 a(x,y,K(z,L(u,a(u,y,K(z,x)) * w,v5))) = (v5 * (a(u,y,K(z,x)) * w)) \ (v5 * w). [para(10537(a,1),13158(a,1,3,2,2))]. 14017 K(K(x,y),K(z,u) * w) = (v5 * ((K(v5,v6) * w) * K(x,y))) \ (T(v5,v6) * (K(x,y) * w)). [hyper(5260,a,13361,a)]. 14018 T(x * (y * (x * y)),T(z,u)) = T(x * (y * (x * y)),z). [hyper(11328,a,13537,a),flip(a)]. 14019 T(x * (y * (x * y)),L(T(z,u),w,v5)) = T(x * (y * (x * y)),L(z,w,v5)). [para(20(a,2),14018(a,1,2))]. 14020 a(x,y,K(z,u)) / T(w,v5) = T(a(x,y,K(z,u)) / w,v5). [hyper(58,a,4878,a(flip),b,13585,a)]. 14021 T(a(x,y,K(z,u)) / w,v5) = T(w,v5) \ a(x,y,K(z,u)). [hyper(13153,a,14020,a),flip(a)]. 14022 T(x \ a(y,z,K(u,w)),v5) = T(x,v5) \ a(y,z,K(u,w)). [para(13144(a,1),14021(a,1,1))]. 14023 T(x \ a(y,z,K(u,x)),w) = T(x,a(y,z,u)) \ K(w,x). [hyper(280,a,13428,a,b,14022,a),flip(a)]. 14024 T(x \ a(y,z,K(u,x)),w) = L(x,z,K(u,y)) \ K(w,x). [para(11747(a,2),14023(a,2,1))]. 14025 x * T(x,K(y,L(z,u,w)) * (v5 * (K(y,L(z,u,w)) * v5))) = T(x * x,K(y,z) * v5). [para(13761(a,1),13760(a,1,2))]. 14026 L(T(K(x,y) * K(z,K(u,x)),w),v5,v6) * K(u * z,x) = K(z * u,x) * K(x,L(T(y,w),v5,v6)). [para(12364(a,2),13918(a,1,1,1))]. 14027 K(x,y) * K(y,T(x,(z \ (K(u,w) * v5)) * v6)) = K(x,K(y,v6 / ((K(w,u) * z) \ v5))). [para(12303(a,1),13960(a,1,2))]. 14028 a(x,y,K(z,u)) * (a(u,w,K(v5,v6)) * v7) = u * (T(T(u,a(x,y,z)),a(v5,w,v6)) \ v7). [para(13279(a,2),13985(a,1,2))]. 14029 (x * (a(y,z,K(u,w)) * v5)) \ (x * v5) = a(w,z,K(u,L(y,v5,x))). [para(10634(a,1),14016(a,1,3)),flip(a)]. 14031 x * (K(y,z) * (K(x,u) * w)) = T(x,u) * (K(y,z) * w). [hyper(3153,a,14017,a(flip))]. 14032 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(29,a,4019,a,b,14031,a)]. 14033 K(x,y) * (K(z,u) * (K(y,x) * w)) = K(z,u) * w. [hyper(4385,a,14031,a(flip))]. 14034 (T(x,y) * (K(z,u) * w)) \ ((x * (K(x,y) * w)) * T(K(z,u),K(x,y) * w)) = a(x,K(x,y) * w,T(K(z,u),K(x,y) * w)). [para(14031(a,1),215(a,1,1))]. 14039 K(x,y) * (K(z,u) * (y \ w)) = K(z,u) * (T(y,x) \ w). [para(4276(a,1),14032(a,1,2)),flip(a)]. 14040 K(x,y) * (K(z,u) * L(y \ 1,y,w)) = K(z,u) * L(T(y \ 1,x),y,w). [para(3717(a,1),14032(a,1,2)),flip(a)]. 14042 K(x,y) * (K(z,u) * (K(x,K(y,w)) * v5)) = K(z,u) * (K(x,T(y,w)) * v5). [para(7296(a,1),14032(a,1,2)),flip(a)]. 14043 K(a(x,y,z),u) * (K(w,v5) * v6) = K(w,v5) * (a(x,y,K(z,u)) * v6). [para(9700(a,2),14032(a,1,2,1)),flip(a)]. 14044 K(x,T(y,K(z,u))) * (K(u,z) * (w \ K(z,u))) = (w * (K(z,u) * K(y,x))) \ K(z,u). [hyper(29,a,5546,a,b,14033,a),flip(a)]. 14045 K(x,y) * (K(z,u) * w) != v5 | K(z,u) * (K(x,y) * w) = v5. [para(14033(a,1),4300(a,1,2)),flip(b)]. 14046 (x \ y) * (K(x,L(z,u,w)) * K(z,x)) = K(x,L(z,u,w)) * (T(x,z) \ y). [hyper(13754,a,14039,a)]. 14047 (x \ y) * (K(z,x) * K(x,L(z,u,w))) = K(x,L(z,u,w)) * (T(x,z) \ y). [hyper(13738,a,14039,a)]. 14050 K(x,y) * (a(z,u,K(w,v5)) * a(v6,v7,K(v8,v5))) = v5 * (T(T(v5,a(z,u,w)),a(v6,v7,v8)) \ K(x,y)). [hyper(58,a,13982,a(flip),b,14043,a),flip(a)]. 14051 K(x,y) * (a(z,u,K(w,v5)) * v6) = a(z,u,K(w,v5)) * (K(x,y) * v6). [para(9700(a,2),14043(a,1,1)),flip(a)]. 14052 K(x,y) * (a(z,u,K(K(x,y) * w,v5)) * w) = L(K(x,y) * w,u,K(v5,z)). [hyper(280,a,11751,a(flip),b,14051,a),flip(a)]. 14053 a(x,y,K(z,u)) * L(x \ 1,x,w) = L(T(x \ 1,a(z,y,u)),x,w). [hyper(13589,a,14040,a)]. 14054 a(x,y,K(z,u)) * L(x \ 1,x,w) = L(L(x \ 1,y,K(u,z)),x,w). [para(11747(a,2),14053(a,2,1))]. 14055 T((x / T(y,z)) * K(y,L(z,u,w)),y) = K(y,L(z,u,w)) * (T(y,z) \ x). [hyper(58,a,9494,a,b,14047,a)]. 14056 T((x \ y) * K(x,L(y,z,u)),x) = K(x,L(y,z,u)) * (T(x,y) \ y). [para(428(a,1),14055(a,1,1,1))]. 14057 (x \ y) * (K(x,L(y,z,u)) * K(y,x)) = T((x \ y) * K(x,L(y,z,u)),x). [hyper(280,a,14046,a,b,14056,a)]. 14058 T((x \ y) * K(x,L(y,z,u)),x) = K(x,L(y,z,u)) * T(x \ y,y). [para(432(a,2),14056(a,2,2))]. 14059 T(K(x,L(y,z,u)) * (x \ y),y) = T((x \ y) * K(x,L(y,z,u)),x). [hyper(280,a,9641,a,b,14058,a)]. 14060 T((x \ y) * K(x,L(y,z,u)),y) = T((x \ y) * K(x,L(y,z,u)),x). [para(13549(a,1),14059(a,1,1))]. 14061 T(x * x,K(y,z) * u) = x * T(x,u * u). [para(13831(a,1),14025(a,1,2)),flip(a)]. 14062 T(x * x,K(y,z) * u) = T(x * x,u). [hyper(280,a,11055,a(flip),b,14061,a),flip(a)]. 14065 T(x * x,y * (z * K(u,w))) = T(x * x,y * z). [hyper(58,a,13829,a(flip),b,14062,a),flip(a)]. 14066 T(x * (x * (x * x)),K(y,z) * u) = T((x * x) * (x * x),u). [para(7123(a,1),14062(a,1,1))]. 14067 T(x * x,y * (z * u)) = T(x * x,y * (u * z)). [para(80(a,1),14065(a,1,2,2))]. 14068 (x * x) * T(x * x,(y * z) * (z * y)) = T((x * x) * (x * x),y * z). [para(14067(a,1),11055(a,1,2))]. 14069 T(x * (x * (x * x)),K(y,z) * u) = T(x * (x * (x * x)),u). [para(7123(a,1),14066(a,2,1))]. 14070 T(T(x,y) * (T(x,y) * T(x * x,y)),K(z,u) * w) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),w). [para(11016(a,1),14069(a,1,1,2,2))]. 14071 T(T(x * (x * (x * x)),K(y,z) * u),x * (x * x)) = T(x,u * (x * (x * x))) * T(x * (x * x),u). [para(14069(a,2),13969(a,2,1)),flip(a)]. 14072 x * (x * T(x * x,(y * z) * (z * y))) = T((x * x) * (x * x),y * z). [hyper(58,a,10890,a(flip),b,14068,a)]. 14073 x * (x * T(x * x,(y * z) * (z * y))) = T(x * (x * (x * x)),y * z). [para(7123(a,1),14072(a,2,1))]. 14074 K(x,y) * K(y,T(x,(K(z,u) * w) * (v5 * v6))) = K(x,K(y,v6 / ((K(u,z) * v5) \ w))). [para(13441(a,1),14027(a,1,2))]. 14075 a(x,y,K(z,u)) * (a(u,w,K(v5,v6)) * v7) = u * (T(L(u,y,K(z,x)),a(v5,w,v6)) \ v7). [para(11747(a,2),14028(a,2,2,1,1))]. 14076 (x * (K(y,z) * K(u,w))) \ K(y,z) = K(w,u) * (K(z,y) * (x \ K(y,z))). [para(12175(a,1),14044(a,1,1)),flip(a)]. 14077 (x * (K(y,z) * K(u,w))) \ K(y,z) = K(w,u) * T(x \ 1,K(y,z)). [para(10570(a,1),14076(a,2,2))]. 14079 (x * (K(y,z) * K(u,w))) \ K(y,z) = T(K(w,u) * (x \ 1),K(y,z)). [hyper(280,a,12683,a,b,14077,a),flip(a)]. 14080 (x * (K(y,z) * K(u,w))) \ K(y,z) = T(K(w,u) / x,K(y,z)). [para(10496(a,1),14079(a,2,1))]. 14081 (K(x,y) / z) \ K(u,w) = z * (K(u,w) * K(y,x)). [hyper(34,a,411,a(flip),b,14080,a)]. 14082 K(x,K(y,z / ((K(u,w) * v5) \ v6))) = K(x,y) * K(y,T(x,v6 * (v5 * z))). [para(12593(a,1),14074(a,1,2)),flip(a)]. 14083 K(x,K(y,z / ((K(u,w) * v5) \ v6))) = K(x,K(y,v6 * (v5 * z))). [hyper(280,a,5306,a(flip),b,14082,a),flip(a)]. 14085 K(x,K(y,z / (u \ (K(w,v5) * v6)))) = K(x,K(y,v6 * (u * z))). [para(13959(a,1),14083(a,1,2))]. 14086 K(x,K(y,z * (u \ (K(w,v5) * v6)))) = K(x,K(y,v6 * (u * z))). [hyper(12500,a,14085,a)]. 14087 K(x,K(y,z * (T(u,w) \ v5))) = K(x,K(y,v5 * (u * z))). [para(4282(a,1),14086(a,1,2,2,2))]. 14088 K(x,K(y,z * (u * T(u,w)))) = K(x,K(y,z)). [para(5(a,1),14087(a,1,2,2)),flip(a)]. 14089 (x * L(y,y,x)) * (y * K(z,K(u,x))) = T((x * L(y,y,x)) * y,K(z,u)). [para(14088(a,1),12374(a,1,2,2))]. 14090 (x * L(y,y,x)) * (y * K(x,K(z,u))) = T((x * L(y,y,x)) * y,K(z,u)). [para(5281(a,1),14089(a,1,2,2))]. 14092 (x * y) * L(y * K(x,K(z,u)),y,x) = T((x * L(y,y,x)) * y,K(z,u)). [hyper(58,a,13948,a(flip),b,14090,a)]. 14093 T((x * L(y,y,x)) * y,K(z,u)) = x * (y * (y * K(x,K(z,u)))). [hyper(263,a,14092,a),flip(a)]. 14094 T((x * L(y,y,x)) * y,K(z,u)) = T(x,K(z,u)) * (y * y). [hyper(280,a,13337,a(flip),b,14093,a),flip(a)]. 14095 T((x * y) * L(y,y,x),K(z,u)) = T(x,K(z,u)) * (y * y). [para(2193(a,1),14094(a,1,1))]. 14096 T(x * (y * y),K(z,u)) = T(x,K(z,u)) * (y * y). [para(86(a,1),14095(a,1,1))]. 14097 T(((x * x) * y) * K(z,u),x * x) = K(z,u) * T(y * (x * x),K(z,u)). [para(14096(a,2),11368(a,2,2))]. 14098 T(((x * x) * y) * K(z,u),x * x) = (y * (x * x)) * K(z,u). [hyper(280,a,101,a(flip),b,14097,a),flip(a)]. 14099 (((x * x) \ y) * (x * x)) * K(z,u) = T(y * K(z,u),x * x). [para(5(a,1),14098(a,1,1,1)),flip(a)]. 14100 T(x * K(y,z),u * u) = T(x,u * u) * K(y,z). [para(898(a,2),14099(a,1,1)),flip(a)]. 14101 T(K(x,y) * z,u * u) = K(x,y) * T(z,u * u). [hyper(6149,a,14100,a),flip(a)]. 14102 T(K(x,T(y,z)) * x,z * z) = (T(x \ 1,y) * z) \ (x * (z * (x \ 1))). [hyper(280,a,11656,a,b,14101,a),flip(a)]. 14103 T(T(x,T(y,z)),z * z) = (T(x \ 1,y) * z) \ (x * (z * (x \ 1))). [para(2888(a,2),14102(a,1,1))]. 14104 T(T(x,T(y,z)),T(z,u) * T(z,u)) = (T(x \ 1,y) * T(z,u)) \ (x * (T(z,u) * (x \ 1))). [para(12221(a,1),14103(a,1,1))]. 14105 a(x,y,K(z,u)) * (a(u,w,K(v5,v6)) * v7) = u * (L(L(u,y,K(z,x)),w,K(v6,v5)) \ v7). [para(11747(a,2),14075(a,2,2,1))]. 14106 (x * a(y,z,K(u,w))) * v5 != v6 | (a(w,z,K(y,u)) * x) * v5 = v6. [para(13553(a,1),3701(a,1))]. 14107 (x * L(y,z,u)) * a(w,v5,K(v6,y)) = (x * a(w,v5,K(v6,y))) * L(y,z,u). [hyper(259,a,13582,a),flip(a)]. 14108 (x * L(y,z,u)) * a(w,v5,K(v6,y)) != v7 | x * (a(w,v5,K(v6,y)) * L(y,z,u)) = v7. [para(14107(a,2),9636(a,1))]. 14109 K(x,L(y,z,u) * (T(T(L(y,z,u),w),v5) \ v6)) = K(x,K(y,w) * (K(v5,y) * v6)). [hyper(13787,a,13773,a(flip)),flip(a)]. 14110 K(x,L(y,z,u) * (T(T(L(y,z,u),w),v5) \ v6)) = K(x,y * (T(T(y,w),v5) \ v6)). [hyper(280,a,12575,a(flip),b,14109,a),flip(a)]. 14112 K(x,L(y,z,u) * (T(L(T(y,w),z,u),v5) \ v6)) = K(x,y * (T(T(y,w),v5) \ v6)). [para(20(a,2),14110(a,1,2,2,1,1))]. 14113 K(x,L(y,z,u) * (L(T(T(y,w),v5),z,u) \ v6)) = K(x,y * (T(T(y,w),v5) \ v6)). [para(20(a,2),14112(a,1,2,2,1))]. 14114 a(x,x,K(y,z)) * a(z,x,T(y,z * x)) = (y * (z * x)) / (L(y,x,z) * (z * x)). [para(10375(a,1),13859(a,1,1))]. 14115 (x * (y * z)) / (L(x,z,y) * (y * z)) = 1 * a(y,z,T(x,y * z)). [para(10458(a,1),14114(a,1,1)),flip(a)]. 14116 (x * (y * z)) / (L(x,z,y) * (y * z)) != u | a(y,z,T(x,y * z)) = u. [para(14115(a,2),113(a,1))]. 14118 K(x,(y * (z * T(z \ (y \ u),w))) \ u) = K(x,K(w,y \ (u / z))). [hyper(280,a,12261,a(flip),b,13417,a),flip(a)]. 14119 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (w / u))). [para(4477(a,1),14118(a,1,2))]. 14120 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). [hyper(13257,a,14119,a)]. 14121 K(x,K(y,z \ (u / w))) = K(x,K(y,(z \ u) * w)). [hyper(12484,a,14120,a),flip(a)]. 14122 K(x,K(y,(z \ u) * w)) = K(x,K(y,(u / w) * z)). [hyper(12484,a,14121,a),flip(a)]. 14123 K(x,K(y,(z / u) * w)) = K(x,K(y,z * (w * u))). [hyper(58,a,13603,a(flip),b,14122,a),flip(a)]. 14124 K(x,K(y,z * (u * w))) * K(x,y / ((z / w) * u)) = K(x,((z / w) * u) \ y). [para(14123(a,1),5904(a,1,1))]. 14125 K(x,K(y,x * (z * u))) * K(y,x / ((x / u) * z)) = K(y,x \ ((x / z) * u)). [para(14123(a,1),5905(a,1,1))]. 14126 K(x,K(y,z * u)) * K(y,x / ((x / u) * z)) = K(y,x \ ((x / z) * u)). [para(5350(a,1),14125(a,1,1))]. 14127 K(T(x,K(y,z)),K(u,w * y)) * K(u,T(x,K(y,z)) / (T(x / y,K(y,z)) * w)) = K(u,T(x,K(y,z)) \ ((T(x,K(y,z)) / w) * y)). [para(6091(a,1),14126(a,1,2,2,2,1))]. 14128 K(x,L(y,z,u)) * (K(w,v5) * (v6 * K(y,x))) = K(y,x) * (K(w,v5) * (v6 * K(x,L(y,z,u)))). [para(13197(a,1),13752(a,2,2))]. 14129 (a(x,y,K(z,u)) \ 1) * (z \ L(z,w,K(v5,v6))) = z \ L(T(z,a(u,y,x)),w,K(v5,v6)). [hyper(280,a,9644,a(flip),b,13951,a),flip(a)]. 14130 (a(x,y,K(z,u)) * 1) * (z \ L(z,w,K(v5,v6))) = z \ L(T(z,a(x,y,u)),w,K(v5,v6)). [para(10537(a,1),14129(a,1,1))]. 14131 a(x,y,K(z,u)) * (z \ L(z,w,K(v5,v6))) = z \ L(T(z,a(x,y,u)),w,K(v5,v6)). [para(3(a,1),14130(a,1,1))]. 14132 L(x,y,K(z,u)) \ L(x,w,K(v5,v6)) = x \ L(T(x,a(z,y,u)),w,K(v5,v6)). [hyper(58,a,11765,a(flip),b,14131,a)]. 14133 L(x,y,K(z,u)) \ L(x,w,K(v5,v6)) = x \ L(L(x,y,K(u,z)),w,K(v5,v6)). [para(11747(a,2),14132(a,2,2,1))]. 14134 T(x * T(K(y,z) * u,u),K(K(y,z) * u,w)) = T(x,K(w,u)) * (u * K(y,z)). [para(12643(a,1),13963(a,2,1))]. 14135 T(x * T(K(y,z) * u,u),K(K(y,z) * u,w)) = T(x,K(u,w)) * (u * K(y,z)). [para(5355(a,1),14134(a,2,1))]. 14137 T(x * (y * K(z,u)),K(K(z,u) * y,w)) = T(x,K(y,w)) * (y * K(z,u)). [para(5542(a,1),14135(a,1,1,2))]. 14138 T(x * (y * K(z,u)),K(w,K(z,u) * y)) = T(x,K(y,w)) * (y * K(z,u)). [hyper(5376,a,14137,a)]. 14139 T(x * (y * K(z,u)),K(w,y)) = T(x,K(y,w)) * (y * K(z,u)). [hyper(12644,a,14138,a)]. 14140 T(x * (y * K(z,u)),K(y,w)) = T(x,K(y,w)) * (y * K(z,u)). [hyper(5376,a,14139,a)]. 14142 T((K(x,y) * z) * (x * K(u,w)),K(x,y)) = (z * K(x,y)) * (x * K(u,w)). [para(897(a,1),14140(a,2,1))]. 14143 (T(x \ 1,y \ z) * T(y,u)) \ (x * (T(y,u) * (x \ 1))) = T(T(x,z / y),T(y,u) * T(y,u)). [para(5611(a,1),14104(a,1,1)),flip(a)]. 14144 (x * (y * (z * K(x,K(u,w))))) \ ((T(x,K(u,w)) * y) * z) = a(x,y * K(x,K(u,w)),z). [para(12281(a,1),13433(a,1,2,1))]. 14145 (x * (y * (z * K(u,K(w,v5))))) \ (K(u,K(w,v5)) * ((x * y) * z)) = a(x,y * K(u,K(w,v5)),z). [para(13350(a,1),13433(a,1,2))]. 14146 (T(x,K(y,z)) * (u * w)) \ ((T(x,K(y,z)) * u) * w) = a(x,u * K(x,K(y,z)),w). [para(13337(a,1),14144(a,1,1))]. 14147 a(x,y * K(x,K(z,u)),w) = a(T(x,K(z,u)),y,w). [hyper(823,a,14146,a),flip(a)]. 14148 K(x,L(y,z,u) * (T(L(T(y,w),z,u),v5) \ v6)) = K(x,K(w,y) * (K(v5,T(L(y,z,u),w)) * v6)). [para(20(a,2),13776(a,1,2,2,1,1))]. 14149 (x * y) * L(z,T(T(x,y),u),y * K(u,x)) = (y * K(u,T(x,y))) * (T(T(x,y),u) * z). [para(5433(a,1),13794(a,1,2,3))]. 14150 (x * K(y,T(z,x))) * (T(T(z,x),y) * u) = (z * x) * L(u,T(z,y),x * K(y,z)). [para(6725(a,1),14149(a,1,2)),flip(a)]. 14151 (x * y) * L(z,T(x,u),y * K(u,x)) = (K(u,x) * y) * (T(T(x,y),u) * z). [para(3647(a,1),14150(a,1,1)),flip(a)]. 14152 (x * y) \ ((K(z,x) * y) * (T(T(x,y),z) * u)) != w | L(u,T(x,z),y * K(z,x)) = w. [para(14151(a,1),265(a,1,2)),flip(b)]. 14153 K(x,K(y,z)) * ((u * (w * v5)) \ (K(x,K(y,z)) * ((u * w) * v5))) = a(u,w * K(x,K(y,z)),v5). [hyper(58,a,13817,a(flip),b,14145,a)]. 14154 K(x,L(y,z,u) * (L(T(T(y,w),v5),z,u) \ v6)) = K(x,K(w,y) * (K(v5,T(L(y,z,u),w)) * v6)). [para(20(a,2),14148(a,1,2,2,1))]. 14155 K(x,K(y,z)) * (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) = a(u,w * K(x,K(y,z)),v5). [para(13407(a,1),14153(a,1,2))]. 14156 K(x,L(y,z,u) * (L(T(T(y,w),v5),z,u) \ v6)) = K(x,K(w,y) * (K(v5,L(T(y,w),z,u)) * v6)). [para(20(a,2),14154(a,2,2,2,1,2))]. 14157 K(x,K(y,z)) * (K(x,K(y,z)) * a(u,w,v5)) = a(u,w * K(x,K(y,z)),v5). [para(9(a,2),14155(a,1,2,2))]. 14158 a(x,y * K(z,K(u,w)),v5) != v6 | a(x,y,v5) = v6. [para(14157(a,1),5331(a,1))]. 14161 a(x,K(y,K(z,u)) * w,v5) != v6 | a(x,w,v5) = v6. [para(3635(a,1),14158(a,1,2))]. 14162 a(x,K(y,T(z,u)),w) != v5 | a(x,K(y,z),w) = v5. [para(4277(a,1),14158(a,1,2))]. 14163 a(T(x,K(y,z)),u,w) != v5 | a(x,u,w) = v5. [para(14147(a,1),14158(a,1))]. 14164 a((x * y) / z,y,x) = a(z \ (x * y),y,x). [hyper(14163,a,11734,a),flip(a)]. 14165 a(x * K(y,z),u,w) != v5 | a(K(y,z) * x,u,w) = v5. [para(897(a,1),14163(a,1,1))]. 14166 a(T(x,T(y,z)),u,w) != v5 | a(T(x,y),u,w) = v5. [para(5748(a,1),14163(a,1,1))]. 14167 a((x * y) / z,y,x) != u | a(z \ (x * y),y,x) = u. [para(11734(a,1),14163(a,1))]. 14168 a(x,(y \ 1) \ 1,z) != u | a(x,y,z) = u. [para(1686(a,1),14161(a,1,2))]. 14169 a(x,K(y,T(z,u)),w) = a(x,K(y,z),w). [hyper(14162,a,xx),flip(a)]. 14170 a(x,K(y,z),u) != w | a(x,K(y,T(z,v5)),u) = w. [para(969(a,1),14162(a,1,2,2))]. 14171 K(x,L(y,z,u) * (L(T(T(y,w),v5),z,u) \ v6)) = K(x,y * (T(T(y,w),L(v5,z,u)) \ v6)). [para(9534(a,1),14156(a,2,2))]. 14172 K(x,y * (T(T(y,z),L(u,w,v5)) \ v6)) = K(x,y * (T(T(y,z),u) \ v6)). [hyper(58,a,14113,a(flip),b,14171,a),flip(a)]. 14174 K(x,K(y,z) * (u * (w * K(y,v5)))) = K(x,y * (T(T(y,z),v5) \ (u * w))). [hyper(58,a,14009,a(flip),b,14172,a)]. 14176 K(x,K(y,z) * (u * (w * K(y,z)))) = K(x,u * w). [hyper(280,a,11961,a(flip),b,14174,a),flip(a)]. 14177 K(x,(K(y,z) * u) * (w * K(y,z))) = K(x,u * w). [hyper(13649,a,14176,a)]. 14178 K(x,K(y,z)) * ((u * w) \ (u * (w * (v5 * K(x,K(y,z)))))) != v6 | L(v5,w * K(x,K(y,z)),u) = v6. [para(13810(a,1),13434(a,1))]. 14179 L(T(K(x,y * z),u),w,v5) * K(z * y,x) = K(y * z,x) * K(x,L(T(z * y,u),w,v5)). [para(12259(a,1),14026(a,1,1,1,1))]. 14180 L(K(x,T(y * z,u)),w,v5) * K(z * y,x) = K(y * z,x) * K(x,L(T(z * y,u),w,v5)). [para(3631(a,2),14179(a,1,1,1))]. 14181 K(x,L(T(y * z,u),w,v5)) * K(z * y,x) = K(y * z,x) * K(x,L(T(z * y,u),w,v5)). [para(9384(a,1),14180(a,1,1))]. 14182 K(x,y) * (a(z,u,K(w,v5)) * a(v6,v7,K(v8,v5))) = v5 * (T(L(v5,u,K(w,z)),a(v6,v7,v8)) \ K(x,y)). [para(11747(a,2),14050(a,2,2,1,1))]. 14183 (T(x \ 1,y \ z) * T(y,u)) \ (x * (T(y,u) * (x \ 1))) = T(T(x,z / y),T(y * y,u)). [para(11016(a,1),14143(a,2,2))]. 14184 (T(x \ 1,y \ z) * T(y,u)) \ (x * (T(y,u) * (x \ 1))) = T(T(x,z / y),y * y). [hyper(280,a,11040,a(flip),b,14183,a),flip(a)]. 14186 T(T(x,y / z),z * z) = T(z * (x \ 1),y) \ (x * (T(z,y) * (x \ 1))). [para(11375(a,1),14184(a,1,1)),flip(a)]. 14187 T(T(x,y / z),z * z) = T(z * (x \ 1),y) \ T(x * (z * (x \ 1)),y). [para(1512(a,2),14186(a,2,2))]. 14188 T(T(x,y / z),z * z) = T(x,(z * (x \ 1)) * y). [hyper(280,a,11011,a(flip),b,14187,a),flip(a)]. 14189 L((x * K(y,K(z,u))) * K(y,K(z,u)),w,v5) = L(x,w * K(y,K(z,u)),v5). [hyper(14178,a,13908,a),flip(a)]. 14190 L(x * (K(y,K(z,u)) * K(y,K(z,u))),w,v5) = L(x,w * K(y,K(z,u)),v5). [para(9027(a,1),14189(a,1,1))]. 14191 L(x,y * K(z,K(u,w)),v5) = L(x * 1,y,v5). [para(5326(a,1),14190(a,1,1,2)),flip(a)]. 14192 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [para(3(a,1),14191(a,2,1))]. 14194 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(4277(a,1),14192(a,1,2))]. 14195 L(x,K(y,T(z,u)) * w,v5) = L(x,K(y,z) * w,v5). [para(12260(a,1),14192(a,1,2))]. 14196 K(x,L(y,(z * (y * K(u,w))) \ y,v5)) = K(x,L(y,K(w,u) * (z \ y),v5)). [para(14195(a,1),9420(a,2,2))]. 14198 K(x,y) * (a(z,u,K(w,v5)) * a(v6,v7,K(v8,v5))) = v5 * (L(L(v5,u,K(w,z)),v7,K(v8,v6)) \ K(x,y)). [para(11747(a,2),14182(a,2,2,1))]. 14199 K(x,L(T(T(y,z),u * L(z,w,v5)),L(z,w,v5),u)) != v6 | K(x,(u * L(z,w,v5)) / (u * (y \ L(z,w,v5)))) = v6. [para(13369(a,2),9227(a,1))]. 14200 L(x \ a(y,z,K(u,w)),a(u,z,K(y,w)) * x,a(v5,v6,K(v7,v8))) = (x * a(u,z,K(y,w))) \ 1. [para(13701(a,1),13552(a,1,1))]. 14201 K(x,(y * a(z,u,K(w,v5))) \ v6) = (y * T(y \ v6,x)) \ v6. [para(5(a,1),13586(a,1,1,2,1)),flip(a)]. 14202 K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). [hyper(280,a,4336,a(flip),b,14201,a),flip(a)]. 14204 K(x,((y * (z / K(u,w))) * K(u,w)) \ v5) = K(x,(y * z) \ v5). [para(820(a,1),14202(a,1,2,1))]. 14205 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [para(13146(a,2),14202(a,1,2,1))]. 14206 K(x,(y * L(z,u,K(w,v5))) \ v6) = K(x,(y * z) \ v6). [para(13427(a,1),14202(a,1,2,1))]. 14207 K(x,y / (z * a(u,w,K(v5,v6)))) = K(x,K(z,y)) * K(x,z \ y). [para(14202(a,1),13673(a,1,2)),flip(a)]. 14208 K(x,(y * z) \ (y * (L(z,u,K(w,v5)) * v6))) = K(x,L(v6,L(z,u,K(w,v5)),y)). [para(13(a,2),14206(a,1,2)),flip(a)]. 14209 K(x,((y \ 1) * L(z \ 1,u,K(w,v5))) \ v6) = K(x,((z * y) \ 1) \ v6). [para(512(a,1),14206(a,2,2,1))]. 14210 K(x,((y * (z * K(u,w))) * K(w,u)) \ v5) = K(x,(y * z) \ v5). [para(4323(a,1),14204(a,1,2,1,1,2))]. 14211 K(x,y / (z * a(u,w,K(v5,v6)))) = K(x,y / z). [hyper(280,a,5903,a(flip),b,14207,a),flip(a)]. 14213 K(x,y / (a(z,u,K(w,v5)) * v6)) = K(x,y / v6). [para(13146(a,2),14211(a,1,2,2))]. 14214 T(x,y / (a(z,u,K(w,v5)) * v6)) = x * K(x,y / v6). [para(14213(a,1),2882(a,2,2))]. 14215 T(x,y / (a(z,u,K(w,v5)) * v6)) = T(x,y / v6). [hyper(280,a,2882,a,b,14214,a),flip(a)]. 14216 T(T(x,K(y,z)),y / z) = T(x,(a(u,w,K(v5,v6)) * z) \ y). [hyper(13630,a,14215,a),flip(a)]. 14217 T(x,(a(y,z,K(u,w)) * v5) \ v6) = T(x,v5 \ v6). [hyper(6968,a,14216,a),flip(a)]. 14218 T(x * (y \ (a(z,u,K(w,v5)) * v6)),v6 \ y) = (y \ (a(z,u,K(w,v5)) * v6)) * x. [hyper(3837,a,14217,a),flip(a)]. 14219 T(x * (a(y,z,K(u,w)) * v5),v5 \ 1) = (v5 * a(u,z,K(w,y))) * x. [hyper(58,a,13553,a(flip),b,14217,a),flip(a)]. 14221 (L(x,y,z) * a(u,w,K(x,v5))) * v6 = (L(x,y,z) * v6) * a(v5,w,K(u,x)). [hyper(58,a,9763,a(flip),b,14219,a),flip(a)]. 14222 K(x,((L(y,z,K(u,w)) * v5) \ 1) \ v6) = K(x,((y * v5) \ 1) \ v6). [para(11804(a,1),14209(a,1,2,1))]. 14223 K(x,(L(y,z,K(u,w)) * v5) * v6) = K(x,((y * v5) \ 1) \ v6). [hyper(10719,a,14222,a)]. 14224 K(x,(L(y,z,K(u,w)) * v5) * v6) = K(x,(y * v5) * v6). [hyper(280,a,10520,a(flip),b,14223,a),flip(a)]. 14225 K(x,T(y * L(z,u,K(w,v5)),K(L(z,u,K(w,v5)),v6)) * v7) = K(x,(z * T(y,T(L(z,u,K(w,v5)),v6))) * v7). [para(4626(a,2),14224(a,1,2,1))]. 14226 (L(x,y,z) * a(u,w,K(x,v5))) * v6 = L(x,y,z) * (v6 * a(v5,w,K(u,x))). [hyper(280,a,9744,a(flip),b,14221,a),flip(a)]. 14227 (L(x,y,z) * a(u,w,K(v5,x))) * v6 = L(x,y,z) * (v6 * a(u,w,K(v5,x))). [hyper(58,a,10842,a(flip),b,14226,a)]. 14228 T(x * ((y * z) \ (a(u,w,K(v5,v6)) * y)),z) = ((y * z) \ (a(u,w,K(v5,v6)) * y)) * x. [para(4(a,1),14218(a,1,2))]. 14229 K(x,K(y,z)) * ((u * (K(x,K(y,z)) * (w * v5))) \ ((u * w) * v5)) = a(u,w,v5 * K(x,K(y,z))). [hyper(13342,a,13412,a),flip(a)]. 14230 K(x,K(y,z)) * (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) = a(u,w,v5 * K(x,K(y,z))). [para(13811(a,1),14229(a,1,2))]. 14231 K(x,K(y,z)) * (K(x,K(y,z)) * a(u,w,v5)) = a(u,w,v5 * K(x,K(y,z))). [para(9(a,2),14230(a,1,2,2))]. 14232 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(5331,a,14231,a),flip(a)]. 14233 a(x,y,T(z,K(u,w))) = a(x,y,z). [para(928(a,2),14232(a,1,3))]. 14234 a(x,y,K(z,K(u,w)) * v5) = a(x,y,v5). [para(3635(a,1),14232(a,1,3))]. 14235 a(x,y,z * (u * T(w,K(v5,v6)))) = a(x,y,z * (u * w)). [para(4998(a,1),14232(a,1,3))]. 14236 x \ (((x / K(y,z)) * (K(y,z) * (u * K(z,y)))) / (u * K(z,y))) = a(x,K(z,y),u). [hyper(58,a,8674,a,b,14233,a)]. 14237 a(x,y,K(z,u) \ w) = a(x,y,w * K(u,z)). [para(4308(a,1),14233(a,1,3)),flip(a)]. 14238 a(x,y,T(z,T(u,w))) = a(x,y,T(z,u)). [para(5748(a,1),14233(a,1,3))]. 14239 a(x,y,T(z,u / w)) = a(x,y,T(z,w \ u)). [para(6969(a,1),14233(a,1,3)),flip(a)]. 14240 a(x,y,z * K(u,T(w,v5))) = a(x,y,z * K(u,w)). [para(12377(a,1),14234(a,1,3))]. 14241 (L(x,y,y \ z) * T(z,y)) \ (x * T(z,y)) = a(y \ z,y,T(x,z)). [hyper(58,a,9315,a,b,14238,a)]. 14244 x \ (((x * K(y,z)) * (K(z,y) * (u * K(y,z)))) / (u * K(y,z))) = a(x,K(y,z),u). [para(4323(a,1),14236(a,1,2,1,1))]. 14245 x \ (((x * K(y,z)) * T(u,K(z,y))) / (u * K(y,z))) = a(x,K(y,z),u). [para(5356(a,1),14244(a,1,2,1,2))]. 14246 x \ (((x * K(y,z)) * u) / (K(y,z) * u)) = a(x,K(y,z),u). [para(5371(a,1),14245(a,1,2))]. 14247 x \ L(x,K(y,z),u) = a(x,K(y,z),u). [para(11075(a,2),14246(a,1,2))]. 14248 L(x \ L(x,K(y,z),u),w,x) = a(x,K(y,z),u). [hyper(7665,a,14247,a)]. 14249 x * a(x,K(y,z),u) = L(x,K(y,z),u). [hyper(126,a,14247,a)]. 14250 (x \ T(L(x,K(y,z),u),w)) * K(w,L(x,K(y,z),u)) = a(x,K(y,z),u). [hyper(58,a,10655,a,b,14247,a)]. 14251 x * a(x,K(y,z),u) != w | L(x,K(y,z),u) = w. [para(14247(a,1),239(a,1,2)),flip(b)]. 14252 L(x,K(y,z),u) \ (x * (w \ L(x,K(y,z),u))) = (w * a(x,K(y,z),u)) \ L(x,K(y,z),u). [para(14247(a,1),370(a,1,1,2)),flip(a)]. 14253 L(x,K(y,z),u) \ x = a(x,K(y,z),u) \ 1. [para(14247(a,1),1263(a,1,1)),flip(a)]. 14254 x * L(a(y,K(z,u),w),y,x) = (x / y) * L(y,K(z,u),w). [para(14247(a,1),2412(a,1,2,1))]. 14255 a(K(x,y) \ z,K(x,y),K(x,y) \ u) = (K(x,y) \ z) \ (u \ ((u / K(x,y)) * z)). [para(6682(a,1),14247(a,1,2)),flip(a)]. 14256 T((x * K(y,z)) \ (x * u),K(y,z)) = (u * K(z,y)) * a(u * K(z,y),K(y,z),x). [hyper(280,a,6490,a,b,14249,a)]. 14257 x \ L(x,K(y,z),u) != w | a(x,K(y,z),u) = w. [para(14249(a,1),265(a,1,2)),flip(b)]. 14259 L(a(x,K(y,z),u),w,x) = a(x,K(y,z),u). [para(14247(a,1),14248(a,1,1))]. 14260 (x * y) * a(x,K(z,u),w) = x * (y * a(x,K(z,u),w)). [para(14259(a,1),86(a,1,2))]. 14262 x * L(x \ 1,K(y,z),u) != w | a(x \ 1,K(y,z),u) = w. [para(1013(a,1),14257(a,1))]. 14263 x * ((K(y,z) * u) * a(x,K(y,z),u)) = (x * K(y,z)) * u. [hyper(261,a,14260,a),flip(a)]. 14264 (x \ L(T(x,y),K(z,u),w)) * K(y,L(x,K(z,u),w)) = a(x,K(z,u),w). [para(20(a,2),14250(a,1,1,2))]. 14265 a(K(x,y) \ z,K(x,y),K(x,y) \ u) = (K(y,x) * z) \ (u \ ((u / K(x,y)) * z)). [para(4271(a,1),14255(a,2,1))]. 14266 a(K(x,y) \ z,K(x,y),K(x,y) \ u) = (K(y,x) * z) \ (u \ ((u * K(y,x)) * z)). [para(4323(a,1),14265(a,2,2,2,1))]. 14267 a(K(x,y) * z,K(y,x),K(y,x) \ u) = (K(x,y) * z) \ (u \ ((u * K(x,y)) * z)). [para(4271(a,1),14266(a,1,1))]. 14268 a(K(x,y) * z,K(y,x),K(x,y) * u) = (K(x,y) * z) \ (u \ ((u * K(x,y)) * z)). [para(4271(a,1),14267(a,1,3))]. 14269 x * (L(x,K(y,z),u) \ (w \ L(x,K(y,z),u))) = (w * a(x,K(y,z),u)) \ L(x,K(y,z),u). [hyper(58,a,1916,a(flip),b,14252,a)]. 14270 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),z) = T(x * (T(x,y * y) * T(x * x,y)),K(u,w) * z). [para(11029(a,1),14070(a,1,1)),flip(a)]. 14271 T(T(x * (x * (x * x)),K(y,z) * u),x * (x * x)) = T(x,u * (x * x)) * T(x * (x * x),u). [para(4160(a,1),14071(a,2,1))]. 14272 T(T(x * (x * (x * x)),K(y,z) * u),x * (x * x)) = T(x,u * x) * T(x * (x * x),u). [para(2226(a,1),14271(a,2,1))]. 14273 T(T(x * (x * (x * x)),K(y,z) * u),x * (x * x)) = T(x,u) * T(x * (x * x),u). [para(761(a,1),14272(a,2,1))]. 14274 T(T(x * (x * (x * x)),y),x * (x * x)) = T(x,y) * T(x * (x * x),y). [para(1697(a,1),14273(a,1,1))]. 14275 T(T(x,y) * (x * (K(x,y) * (T(x,y) * T(x,y)))),z) = T(x * (T(x,y * y) * T(x * x,y)),K(u,w) * z). [para(4019(a,2),14270(a,1,1,2))]. 14276 L(T(L(T(x,y \ x),y,z),L(y,u,w)),u,K(w,K(y,x))) = (K(y,x) * L(K(y,x) \ 1,u,w)) * L(x,y,z). [para(6542(a,2),13950(a,1,1,1))]. 14277 a(x,y,z) * T(T(a(x,y,z) \ 1,u \ 1),L(u,w,v5)) = K(a(x,y,z),u) * K(u,L(a(x,y,z),w,v5)). [para(9743(a,1),14001(a,1,2,1))]. 14278 T(T(a(x,y,z),u \ 1),L(u,w,v5)) \ a(x,y,z) = K(a(x,y,z),u) * K(u,L(a(x,y,z),w,v5)). [hyper(58,a,4991,a(flip),b,14277,a)]. 14279 T(T(a(x,y,z),u \ 1),L(u,w,v5)) \ a(x,y,z) = a(x,y,K(z,u)) * K(u,L(a(x,y,z),w,v5)). [para(9700(a,2),14278(a,2,1))]. 14280 T(T(a(x,y,z),u \ 1),L(u,w,v5)) \ a(x,y,z) = a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))). [para(10990(a,2),14279(a,2,2))]. 14281 K(x,(y * T(z,T(L(y,u,K(w,v5)),v6))) * v7) = K(x,(z * L(y,u,K(w,v5))) * v7). [hyper(12550,a,14225,a),flip(a)]. 14282 K(x,(y * T(z,L(T(y,u),w,K(v5,v6)))) * v7) = K(x,(z * L(y,w,K(v5,v6))) * v7). [para(20(a,2),14281(a,1,2,1,2,2))]. 14283 K(x,(y * T(z,T(y,u))) * w) = K(x,(z * L(y,v5,K(v6,v7))) * w). [para(13156(a,1),14282(a,1,2,1,2))]. 14284 K(x,(y * L(z,u,K(w,v5))) * v6) = K(x,(y * z) * v6). [para(774(a,1),14283(a,1,2,1)),flip(a)]. 14286 L(L(T(T(x,y \ x),L(y,z,u)),y,w),z,K(u,K(y,x))) = (K(y,x) * L(K(y,x) \ 1,z,u)) * L(x,y,w). [para(20(a,2),14276(a,1,1))]. 14287 L(L(L(x,y,K(z,u)),u,w),y,K(z,K(u,x))) = (K(u,x) * L(K(u,x) \ 1,y,z)) * L(x,u,w). [para(11778(a,1),14286(a,1,1,1))]. 14288 (K(x,y) * L(K(x,y) \ 1,z,u)) * L(y,x,w) = L(L(y,z,K(u,x)),x,w). [hyper(13165,a,14287,a),flip(a)]. 14290 (K(x,y) * L(K(y,x),z,u)) * L(y,x,w) = L(L(y,z,K(u,x)),x,w). [para(3418(a,1),14288(a,1,1,2,1))]. 14291 (K(x,y) * K(y,L(x,z,u))) * L(y,x,w) = L(L(y,z,K(u,x)),x,w). [para(9384(a,1),14290(a,1,1,2))]. 14292 T((x * K(y,z)) * L(K(z,y) / x,u,w),K(y,z)) = (K(y,z) * x) * T(L((x * K(y,z)) \ 1,u,w),x). [para(10566(a,1),13608(a,1,1,2,1))]. 14293 L(L(a(x,y,K(z,u)) * w,v5,v6),w \ 1,K(x,u)) = L((K(x,u) / w) \ K(x,L(u,y,z)),v5,v6). [para(10492(a,1),13694(a,1,2))]. 14295 K(x,y * ((K(z,K(u,w)) * ((K(v5,z) * v6) \ 1)) * v7)) = K(x,y / ((v7 \ K(z,K(u,w))) * (K(v5,z) * v6))). [para(13741(a,1),13848(a,1,2,2)),flip(a)]. 14296 T(T(x,y) * (x * (K(x,y) * (T(x,y) * T(x,y)))),z) = T(x * (T(x,y * y) * T(x * x,y)),z). [hyper(280,a,13615,a(flip),b,14275,a),flip(a)]. 14297 T(T(x,y) * (x * (K(x,y) * T(x * x,y))),z) = T(x * (T(x,y * y) * T(x * x,y)),z). [para(11016(a,1),14296(a,1,1,2,2,2))]. 14298 T(T(x,y) * (x * T(K(x,y) * (x * x),y)),z) = T(x * (T(x,y * y) * T(x * x,y)),z). [para(4496(a,2),14297(a,1,1,2,2))]. 14299 T(T(x,y) * (x * T(T(x,y) * x,y)),z) = T(x * (T(x,y * y) * T(x * x,y)),z). [para(4014(a,1),14298(a,1,1,2,2,1))]. 14300 T(T(x,y) * (x * T(x * T(x,y),y)),z) = T(x * (T(x,y * y) * T(x * x,y)),z). [para(228(a,1),14299(a,1,1,2,2,1))]. 14301 T(x * (T(x,y * y) * T(x * x,y)),z) = T(x * (T(x,y) * T(x * T(x,y),y)),z). [para(1624(a,1),14300(a,1,1)),flip(a)]. 14302 x * (T(x,y * y) * T(x * x,y)) = x * (T(x,y) * T(x * T(x,y),y)). [hyper(44,a,14301,a)]. 14303 (((x * y) * R(z / (x * y),x,y)) \ z) * K(x * y,z) = ((z / (x * y)) * x) \ (z / y). [para(7(a,1),13868(a,2,2,1))]. 14304 (((x * y) * R(z / (x * y),x,y)) \ z) * K(x * y,z) = z \ (((z / x) * (x * y)) / y). [hyper(280,a,6770,a(flip),b,14303,a),flip(a)]. 14306 (((x * y) * L(z / (x * y),x,y)) \ z) * K(x * y,z) = z \ (((z / x) * (x * y)) / y). [para(11082(a,1),14304(a,1,1,1,2))]. 14307 ((x * (T(y,x) * (z / (y * x)))) \ z) * K(y * x,z) = z \ (((z / y) * (y * x)) / x). [para(6704(a,1),14306(a,1,1,1))]. 14308 L(K(x,y) * (z \ 1),u,w) * (K(y,T(x,z \ 1)) * z) = (K(y,x) * z) * L((K(y,x) * z) \ 1,u,w). [para(4040(a,1),13229(a,1,2,1,2))]. 14311 L(K(x,y) * (z \ 1),u,w) * (K(y,T(x,z)) * z) = (K(y,x) * z) * L((K(y,x) * z) \ 1,u,w). [para(5456(a,1),14308(a,1,2,1))]. 14313 L(K(x,y) * (z \ 1),u,w) * (z * K(y,x)) = (K(y,x) * z) * L((K(y,x) * z) \ 1,u,w). [para(5433(a,1),14311(a,1,2))]. 14314 (K(x,y) * z) * L((K(x,y) * z) \ 1,u,w) = z * (K(x,y) * L(K(y,x) * (z \ 1),u,w)). [hyper(58,a,7517,a(flip),b,14313,a),flip(a)]. 14315 (K(x,y) * z) * L((z \ 1) * K(y,x),u,w) = z * (K(x,y) * L(K(y,x) * (z \ 1),u,w)). [para(3427(a,1),14314(a,1,2,1))]. 14316 x * (K(y,z) * L(K(z,y) * (x \ 1),u,w)) = K(y,z) * (x * L(x \ K(z,y),u,w)). [hyper(58,a,7274,a(flip),b,14315,a),flip(a)]. 14317 (x * K(y,z)) * L(K(z,y) * (x \ 1),u,w) = K(y,z) * (x * L(x \ K(z,y),u,w)). [hyper(58,a,7275,a,b,14316,a)]. 14318 K(x,y) * (z * L(z \ K(y,x),u,w)) = z * (K(x,y) * L(K(y,x) / z,u,w)). [para(10496(a,1),14316(a,1,2,2,1)),flip(a)]. 14319 (x * K(y,z)) * L(K(z,y) / x,u,w) = K(y,z) * (x * L(x \ K(z,y),u,w)). [para(10496(a,1),14317(a,1,2,1))]. 14320 T(K(x,y) * (z * L(z \ K(y,x),u,w)),K(x,y)) = (K(x,y) * z) * T(L((z * K(x,y)) \ 1,u,w),z). [para(14319(a,1),14292(a,1,1))]. 14321 (K(x,y) * z) * T(L((z * K(x,y)) \ 1,u,w),z) = (z * L(z \ K(y,x),u,w)) * K(x,y). [hyper(1021,a,14320,a),flip(a)]. 14322 (K(x,y) * z) * T(L(K(y,x) / z,u,w),z) = (z * L(z \ K(y,x),u,w)) * K(x,y). [para(10566(a,1),14321(a,1,2,1,1))]. 14323 (x * L(x \ K(y,z),u,w)) * K(z,y) = (K(z,y) * x) * L(x \ K(y,z),u,w). [para(233(a,1),14322(a,1,2)),flip(a)]. 14324 (x * L(x \ K(y,z),u,w)) * K(z,y) = K(z,y) * (x * L(x \ K(y,z),u,w)). [hyper(280,a,10584,a(flip),b,14323,a),flip(a)]. 14325 x / (L(K(y,z) / x,u,w) \ K(y,z)) = K(z,y) * (x * L(x \ K(y,z),u,w)). [hyper(58,a,8974,a,b,14324,a)]. 14326 K(K(x,L(y,z,u)) * (K(y,x) * ((K(x,y) * w) * v5)),v6) = K(K(x,y) * ((w * (v5 * K(y,x))) * L(K(x,y),z,u)),v6). [para(9384(a,1),13561(a,1,1,1))]. 14327 (T(x,y) * 1) * (T(x,y) * T(T(x,y),K(x,T(x,y)))) = K(x,T(x,y)) * ((T(x,y) * T(x,y)) * T(x,y)). [para(190(a,1),13891(a,1,1,2))]. 14328 K(x,T(x,y)) * ((T(x,y) * T(x,y)) * T(x,y)) = T(x,y) * (T(x,y) * T(T(x,y),K(x,T(x,y)))). [para(3(a,1),14327(a,1,1)),flip(a)]. 14330 K(x,T(x,y)) * ((T(x,y) * T(x,y)) * T(x,y)) = T(x,y) * (T(x,y) * T(x,y)). [para(2485(a,1),14328(a,2,2,2))]. 14333 K(x,T(x,y)) * ((T(x,y) * T(x,y)) * T(x,y)) = T(x,y) * T(x * x,y). [para(11016(a,1),14330(a,2,2))]. 14334 1 * ((T(x,y) * T(x,y)) * T(x,y)) = T(x,y) * T(x * x,y). [para(190(a,1),14333(a,1,1))]. 14336 1 * (T(x * x,y) * T(x,y)) = T(x,y) * T(x * x,y). [para(11016(a,1),14334(a,1,2,1))]. 14337 T(x * x,y) * T(x,y) = x * T(x * T(x,y),y). [hyper(110,a,14336,a,b,11219,a(flip))]. 14339 T(T((x * x) * x,y),x) = x * T(x * T(x,y),y). [hyper(58,a,13970,a,b,14337,a)]. 14340 T(T(x * (x * x),y),x) = x * T(x * T(x,y),y). [para(857(a,1),14339(a,1,1,1))]. 14341 x * T(x * T(x,y),y) = T((x * x) * x,y). [hyper(1374,a,14340,a),flip(a)]. 14342 x * T(x * T(x,y),y) = T(x * (x * x),y). [para(857(a,1),14341(a,2,1))]. 14343 T(x,y) * T(x * x,y) = T(x * (x * x),y). [hyper(58,a,11219,a,b,14342,a)]. 14344 (T(x * K(y,L(x,z,u)),y) / w) * L(w,K(y,L(x,z,u)),T(x,y)) = ((x * w) * (K(x,y) * K(y,L(x,z,u)))) / w. [para(6100(a,2),13941(a,1,1,1))]. 14345 T(T(x,K(y,L(z,u,w)) * (v5 * T(z,y))) * T(z,y),x) = T(z,y) * T(x,(z * v5) * (K(z,y) * K(y,L(z,u,w)))). [para(4207(a,1),13942(a,1,1,1,2))]. 14346 x \ ((a(y,z,K(u,w)) * x) * T(v5,x)) = (x * a(w,z,K(u,y))) \ (v5 * x). [para(13145(a,1),13947(a,1,2,2))]. 14348 (x * a(y,z,K(u,w))) \ (v5 * x) = x \ (v5 * (x * a(w,z,K(u,y)))). [para(13234(a,1),14346(a,1,2)),flip(a)]. 14349 K(K(x,y) * ((z * (u * K(y,x))) * L(K(x,y),w,v5)),v6) = K(K(x,y) * (K(y,x) * ((K(x,y) * z) * u)),v6). [hyper(58,a,13778,a(flip),b,14326,a),flip(a)]. 14351 K(K(x,y) * ((z * (u * K(y,x))) * L(K(x,y),w,v5)),v6) = K((K(x,y) * z) * u,v6). [para(4268(a,1),14349(a,2,1))]. 14353 K(K(x,y) * ((z * (u * K(y,x))) * K(x,L(y,w,v5))),v6) = K((K(x,y) * z) * u,v6). [para(8317(a,1),14351(a,1,1,2,2))]. 14354 (T(T(x,L(y,z,u) \ x),y) / w) * L(w,K(y,L(x,z,u)),T(x,y)) = ((x * w) * (K(x,y) * K(y,L(x,z,u)))) / w. [para(9525(a,2),14344(a,1,1,1,1))]. 14355 T(T(x,K(y,z) * (u * T(z,y))) * T(z,y),x) = T(z,y) * T(x,(z * u) * (K(z,y) * K(y,L(z,w,v5)))). [para(13757(a,1),14345(a,1,1,1))]. 14356 T(T(x,T(y * z,K(u,z))) * T(z,u),x) = T(z,u) * T(x,(z * y) * (K(z,u) * K(u,L(z,w,v5)))). [para(5579(a,1),14355(a,1,1,1,2))]. 14358 T(T(x,y * z) * T(z,u),x) = T(z,u) * T(x,(z * y) * (K(z,u) * K(u,L(z,w,v5)))). [para(12176(a,1),14356(a,1,1,1))]. 14360 T(T(x,y * z) * T(z,u),x) = T(z,u) * T(x,z * y). [para(13621(a,1),14358(a,2,2))]. 14362 (T(T(x,y),L(y,z,u) \ x) / w) * L(w,K(y,L(x,z,u)),T(x,y)) = ((x * w) * (K(x,y) * K(y,L(x,z,u)))) / w. [para(18(a,1),14354(a,1,1,1))]. 14363 ((x * y) * (K(x,z) * K(z,L(x,u,w)))) / y = (T(T(x,z),L(z,u,w) \ x) / y) * y. [para(8575(a,1),14362(a,1,2)),flip(a)]. 14364 ((x * y) * (K(x,z) * K(z,L(x,u,w)))) / y = T(T(x,z),L(z,u,w) \ x). [hyper(280,a,7,a(flip),b,14363,a),flip(a)]. 14366 (T(x,y) * (K(y,L(x,z,u)) * w)) / w = T(T(x,y),L(y,z,u) \ x). [para(13940(a,1),14364(a,1,1))]. 14367 x / (K(L(y,z,u),w) * (T(y,w) \ x)) = T(T(y,w),L(w,z,u) \ y). [hyper(58,a,4307,a(flip),b,14366,a)]. 14368 T(T(x,T(y \ x,z)),L(T(y \ x,z),u,w) \ x) = v5 / (K(y,L(T(x,z),u,w)) * (T(x,T(y \ x,z)) \ v5)). [para(6507(a,1),14367(a,1,2,1)),flip(a)]. 14369 x / (K(y,L(z,u,w)) * (T(y,z) \ x)) = T(T(y,z),L(z,u,w) \ y). [para(9511(a,1),14367(a,1,2,1))]. 14370 T(x,y) / (K(x,L(z,u,w)) * (K(x,y) * K(z,x))) = T(T(x,z),L(z,u,w) \ x). [para(4491(a,1),14369(a,1,2,2))]. 14371 T(x,y) / (K(z,x) * (K(x,y) * K(x,L(z,u,w)))) = T(T(x,z),L(z,u,w) \ x). [para(13734(a,1),14370(a,1,2))]. 14372 T(T(x,T(y \ x,z)),L(T(y \ x,z),u,w) \ x) = v5 / (K(y,L(T(x,z),u,w)) * (K(x,T(y,z)) * (x \ v5))). [para(9880(a,1),14368(a,2,2,2))]. 14373 T(x * (y * a(z,u,K(w,v5))),L(a(v5,u,K(w,z)),y * a(z,u,K(w,v5)),x)) = L(a(z,u,K(w,v5)),y,x) * (x * y). [hyper(280,a,923,a(flip),b,13327,a),flip(a)]. 14374 T(x * (y * a(z,u,K(w,v5))),L(a(v5,u,K(w,z)),y * a(z,u,K(w,v5)),x)) = a(z,u,K(w,L(v5,y,x))) * (x * y). [para(9411(a,2),14373(a,2,1))]. 14375 T(x * (y * a(z,u,K(w,v5))),a(v5,u,K(w,L(z,y * a(z,u,K(w,v5)),x)))) = a(z,u,K(w,L(v5,y,x))) * (x * y). [para(9411(a,2),14374(a,1,2))]. 14376 a(x,y,K(z,L(u,w,v5))) * (v5 * w) = v5 * (w * a(x,y,K(z,u))). [hyper(13151,a,14375,a),flip(a)]. 14378 T(x,y * (z * a(u,w,K(v5,v6)))) = T(x,y * z). [para(14376(a,1),13613(a,1,2))]. 14379 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(14376(a,1),13626(a,1,2))]. 14380 K(x,y / (z * (u * a(w,v5,K(v6,v7))))) = K(x,y / (z * u)). [para(14376(a,1),14213(a,1,2,2))]. 14381 T(x,y * (z \ L(u,w,K(v5,v6)))) = T(x,y * (z \ u)). [para(11766(a,1),14378(a,1,2,2))]. 14382 K(x,y * (z / L(u,w,K(v5,v6)))) = K(x,y * (z / u)). [para(13957(a,1),14379(a,1,2,2))]. 14383 K(x \ (y \ L(z,u,K(w,v5))),L(T(v6,v7 * (y \ z)),y \ L(z,u,K(w,v5)),v7)) = K(v6,(v7 * x) / (v7 * (y \ L(z,u,K(w,v5))))). [para(14381(a,1),9596(a,1,2,1))]. 14384 K(x,y / (z * T(u,L(w,v5,v6)))) = K(x,y / (z * T(u,w))). [para(11183(a,1),14380(a,1,2,2,2))]. 14385 K(x,y / (z * T(u,L(w \ 1,v5,v6)))) = K(x,y / (z * (w * (u / w)))). [para(3515(a,1),14384(a,2,2,2,2))]. 14386 K(x,y / (z * T(u,w \ 1))) = K(x,y / (z * (w * (u / w)))). [hyper(58,a,14384,a(flip),b,14385,a)]. 14387 K(x,y) * (K(y,L(T(x,L(z,u,w)),v5,v6)) * (K(z,L(K(y,L(x,v5,v6)),u,w)) * v7)) = v7 * (K(y,L(x,v5,v6)) * K(x,y)). [para(3646(a,2),13737(a,1,2,1))]. 14388 ((x * K(y,z)) * (u * (w * K(y,K(z,v5))))) \ (((x * K(y,T(z,v5))) * u) * w) = a(x * K(y,z),K(y,K(z,v5)) * u,w). [para(13348(a,1),13933(a,1,1,2))]. 14389 K(x,y) * (K(y,L(T(x,z),u,w)) * (K(z,L(K(y,L(x,u,w)),v5,v6)) * v7)) = v7 * (K(y,L(x,u,w)) * K(x,y)). [para(13661(a,1),14387(a,1,2,1))]. 14390 K(x,y) * (K(y,L(T(x,z),u,w)) * (K(z,K(y,L(L(x,u,w),v5,v6))) * v7)) = v7 * (K(y,L(x,u,w)) * K(x,y)). [para(8317(a,1),14389(a,1,2,2,1,2))]. 14392 K(x,y) * (K(y,L(T(x,z),u,w)) * (K(y,K(z,L(x,u,w))) * v5)) = v5 * (K(y,L(x,u,w)) * K(x,y)). [para(8335(a,1),14390(a,1,2,2,1))]. 14393 K(x,y) * (K(y,L(T(x,z),u,w)) * (K(x,K(y,z)) * v5)) = v5 * (K(y,L(x,u,w)) * K(x,y)). [para(13075(a,1),14392(a,1,2,2,1))]. 14394 K(x,L(T(y,z),u,w)) * (K(y,T(x,z)) * v5) = v5 * (K(x,L(y,u,w)) * K(y,x)). [hyper(58,a,14042,a(flip),b,14393,a)]. 14396 K(x,L(T(y,z),u,w)) * (T(x,T(y,z)) \ v5) = (x \ v5) * (K(x,L(y,u,w)) * K(y,x)). [para(4380(a,1),14394(a,1,2))]. 14397 T(T(x,T(y \ x,z)),L(T(y \ x,z),u,w) \ x) = v5 / ((x \ v5) * (K(y,L(x,u,w)) * K(x,y))). [para(14394(a,1),14372(a,2,2))]. 14398 K(x,L(T(y,z),u,w)) * (T(x,T(y,z)) \ v5) = K(x,L(y,u,w)) * (T(x,y) \ v5). [hyper(280,a,14046,a(flip),b,14396,a),flip(a)]. 14399 T(T(x,T(y,z)),L(T(y,z),u,w) \ x) = v5 / (K(x,L(y,u,w)) * (T(x,y) \ v5)). [para(14398(a,1),14369(a,1,2)),flip(a)]. 14400 T(T(x,T(y,z)),L(T(y,z),u,w) \ x) = T(T(x,y),L(y,u,w) \ x). [hyper(280,a,14369,a(flip),b,14399,a),flip(a)]. 14401 T(T(x,T(y \ x,z)),L(T(y \ x,z),u,w) \ x) = v5 / (K(x,y) * (T(x,L(y,u,w)) \ v5)). [para(13782(a,1),14397(a,2,2))]. 14403 T(T(x,y \ x),L(y \ x,z,u) \ x) = w / (K(x,y) * (T(x,L(y,z,u)) \ w)). [hyper(58,a,14400,a(flip),b,14401,a)]. 14404 T(T(x,y \ x),L(y \ x,z,u) \ x) = K(y,x) * T(x,L(y,z,u)). [hyper(280,a,8682,a(flip),b,14403,a),flip(a)]. 14405 T(T(x,y \ x),L(y \ x,z,u) \ x) = T(T(x,L(y,z,u)),y \ x). [hyper(280,a,6273,a,b,14404,a),flip(a)]. 14406 ((x * K(y,T(z,u))) * (w * v5)) \ (((x * K(y,T(z,u))) * w) * v5) = a(x * K(y,z),K(y,K(z,u)) * w,v5). [para(13935(a,1),14388(a,1,1))]. 14407 a(x * K(y,z),K(y,K(z,u)) * w,v5) = a(x * K(y,T(z,u)),w,v5). [hyper(823,a,14406,a),flip(a)]. 14408 a(x * K(y,T(z,u)),w,v5) = a(x * K(y,z),w,v5). [hyper(14161,a,14407,a),flip(a)]. 14409 a(K(x,T(y,z)) * u,w,v5) = a(u * K(x,y),w,v5). [hyper(14165,a,14408,a)]. 14411 (x \ a(y,z,K(u * u,w))) * (a(w * w,z,K(y,u)) * x) = (a(y,z,K(u * u,w)) * x) * (x \ a(y,z,K(u * u,w))). [para(13144(a,1),13555(a,1,1))]. 14412 (x * a(y * y,z,K(u,w))) \ (x / a(y * y,z,K(u,w))) = (a(w,z,K(u,y * y)) * x) / (x * a(u,z,K(w * w,y))). [para(10537(a,1),13556(a,2,1))]. 14413 T(x * ((x * y) \ (a(z,u,K(w,v5)) * x)),y) = L(y,x,a(w,u,K(v5,z))) \ (a(w,u,K(v5,z)) * x). [hyper(13640,a,13743,a)]. 14414 L(x,y,a(z,u,K(w,v5))) \ (a(z,u,K(w,v5)) * y) = ((y * x) \ (a(v5,u,K(z,w)) * y)) * y. [hyper(58,a,14228,a(flip),b,14413,a),flip(a)]. 14415 (T(x,K(y,z)) / u) * (u * L(u \ ((T(x,K(y,z)) / u) \ w),v5,v6)) = x * L(T(x \ w,K(x,K(y,z))),v5,v6). [para(4051(a,1),13915(a,2,2,1))]. 14416 (T(x,K(y,z)) / u) * (u * L(u \ ((T(x,K(y,z)) / u) \ w),v5,v6)) = x * L(x \ w,v5,v6). [para(12171(a,1),14415(a,2,2,1))]. 14417 T(x,K(y,z)) * L(T(x,K(y,z)) \ u,w,v5) = x * L(x \ u,w,v5). [hyper(58,a,2150,a(flip),b,14416,a)]. 14419 T(x,K(y,z)) * L(T(u,x * K(y,z)),w,v5) = x * L(x \ T(u * x,K(y,z)),w,v5). [para(11011(a,1),14417(a,1,2,1))]. 14420 T(x,K(y,z)) * L(T(u,x * K(y,z)),w,v5) = x * L(T(x \ u,K(y,z)) * x,w,v5). [para(12504(a,1),14419(a,2,2,1))]. 14421 x * L(T(x \ y,K(z,u)) * x,w,v5) = T(L(y,w,v5) * x,K(z,u)). [hyper(58,a,11013,a(flip),b,14420,a),flip(a)]. 14422 L(x,y,z) * (u * K(w,K(v5,u * x))) = T(L(x,y,z) * u,K(w,v5)). [hyper(58,a,13916,a,b,14421,a)]. 14423 x * (L(x,y,z) * T(x \ u,K(w,v5))) = T(L(x,y,z) * u,K(w,v5)). [hyper(58,a,12508,a(flip),b,14422,a)]. 14424 (x * a(y * y,z,K(u,w))) \ (x / a(y * y,z,K(u,w))) = x \ ((a(y,z,K(w * w,u)) * x) * a(w,z,K(u,y * y))). [hyper(280,a,13847,a(flip),b,14412,a),flip(a)]. 14425 (T(x,y) * (K(z,u) * w)) \ ((T(x,y) * w) * T(K(z,u),K(x,y) * w)) = a(x,K(x,y) * w,T(K(z,u),K(x,y) * w)). [para(4019(a,1),14034(a,1,2,1))]. 14426 (T(x,y) * (K(z,u) * w)) \ ((T(x,y) * w) * K(z,T(u,K(x,y) * w))) = a(x,K(x,y) * w,T(K(z,u),K(x,y) * w)). [para(3631(a,2),14425(a,1,2,2))]. 14427 a(x,K(x,y) * z,T(K(u,w),K(x,y) * z)) = (T(x,y) * (K(u,w) * z)) \ ((T(x,y) * z) * K(u,T(w,z))). [para(12581(a,1),14426(a,1,2,2)),flip(a)]. 14428 a(x,K(x,y) * z,T(K(u,w),K(x,y) * z)) = a(T(x,y),z,K(u,w)). [hyper(280,a,13382,a(flip),b,14427,a),flip(a)]. 14430 a(x,K(x,y) * z,T(K(u,w),K(x,y) * z)) = a(x,z,K(u,w)). [hyper(280,a,13419,a(flip),b,14428,a),flip(a)]. 14431 a(x,K(x,y) * z,K(u,w)) = a(x,z,K(u,w)). [hyper(13395,a,14430,a)]. 14433 K(x,y) * K(y,L(x,z,u)) = a(y,u,K(x,z)). [hyper(58,a,11589,a(flip),b,14431,a)]. 14434 K(x,L(y,z,u)) * K(y,x) = a(x,u,K(y,z)). [hyper(12193,a,14433,a)]. 14435 a(x,y,K(z,u)) = a(z,u,K(x,y)). [hyper(10815,a,14433,a)]. 14436 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(9410,a,14433,a)]. 14437 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,u,z)). [hyper(4283,a,14433,a)]. 14439 (x * K(y,z)) \ (x * K(y,L(z,u,w))) = a(y,w,K(z,u)). [hyper(58,a,5955,a,b,14433,a)]. 14440 K(x,y) * a(x,z,K(y,u)) != w | K(x,L(y,u,z)) = w. [para(14433(a,1),4300(a,1,2)),flip(b)]. 14441 a(x,y,K(z,u)) * K(x,z) = K(x,L(z,u,y)). [para(14433(a,1),4353(a,1,1))]. 14443 K(x,L(y,z,u)) * (K(x,y) * L(K(x,y) \ 1,w,v5)) = (a(x,z,K(u,y)) * a(y,v5,K(x,w))) * K(x,y). [para(14433(a,1),12069(a,1,1,2)),flip(a)]. 14444 K(x,y) * (K(y,L(x,z,u)) * w) = w * a(y,u,K(x,z)). [para(14433(a,1),13735(a,2,2))]. 14445 a(x,y,K(z,u)) * L(x,z,w) = L(L(x,u,K(y,z)),z,w). [para(14433(a,1),14291(a,1,1))]. 14446 a(x,y,K(z,u)) = a(x,u,K(y,z)). [hyper(10791,a,14435,a),flip(a)]. 14447 a(x,K(y,z),K(u,w)) = 1. [hyper(280,a,13113,a(flip),b,14435,a),flip(a)]. 14448 a(x * (y * z),z,K(u,w)) = a(u,w,K(x * y,z)). [para(3736(a,1),14435(a,1,3)),flip(a)]. 14449 a(x,y,K(z,u)) * w = a(x,u,K(y,z)) * w. [para(14435(a,1),10533(a,2,1)),flip(a)]. 14450 K(x,y) * a(z,y,K(x,u)) = K(x,L(y,u,z)). [para(14435(a,1),10540(a,1,2))]. 14451 a(x,y,K(z,u)) * K(z,y) = K(z,L(y,u,x)). [para(14435(a,1),10882(a,1,1))]. 14452 a(x,y / ((z \ 1) * u),K(w,v5)) = a(w,v5,K(x,y * ((u \ 1) * z))). [para(10615(a,1),14435(a,1,3)),flip(a)]. 14453 a(x,y,K(z,u)) * K(z,y) != w | K(z,L(y,u,x)) = w. [para(14435(a,1),10902(a,1,1))]. 14454 a(x,y,K(z,u)) * w = w * a(z,u,K(x,y)). [para(14435(a,1),13146(a,1,1))]. 14455 a(x,y,K(z,u)) * w = w * a(x,z,K(u,y)). [para(14435(a,1),13278(a,2,2))]. 14456 K(x,y) * a(z,y,K(x,u)) != w | K(x,L(y,u,z)) = w. [para(14435(a,1),13291(a,1,2))]. 14457 L(K(x,y),K(z,u),w) = K(x,y). [hyper(47,a,14447,a)]. 14458 K(L(x,K(y,z),u),w) = K(x,w). [hyper(9551,a,14457,a)]. 14459 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(9433,a,14457,a)]. 14461 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(14457(a,1),86(a,1,2))]. 14465 (K(x,y) * K(z,u)) * w = K(x,y) * (K(z,u) * w). [para(14457(a,1),11074(a,1,1)),flip(a)]. 14467 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [para(14457(a,1),12296(a,1,2))]. 14469 K((x / y) / K(z,T(u,y)),w) = K(x / (y * K(z,u)),w). [hyper(58,a,11173,a(flip),b,14458,a),flip(a)]. 14472 K(x,L(y,a(z,u,K(w,v5)),v6)) = K(x,y). [para(9552(a,1),14459(a,1,2,2))]. 14474 T(x * (K(y,z) * K(u,w)),K(u,w)) = K(u,w) * (x * K(y,z)). [para(14459(a,1),13545(a,2,1))]. 14475 (x \ L(T(x,y),K(z,u),w)) * K(y,x) = a(x,K(z,u),w). [para(14459(a,1),14264(a,1,2))]. 14476 a(x,y,K(z,u)) * (w * K(v5,v6)) = w * (K(v5,v6) * a(x,y,K(z,u))). [para(14459(a,1),14376(a,1,1,3))]. 14477 a(x,y,K(z,u)) = a(z,x,K(y,u)). [hyper(280,a,10481,a,b,14436,a),flip(a)]. 14478 a(x,T(y,z),K(u,w)) = a(w,x,K(u,y)). [hyper(280,a,13375,a(flip),b,14436,a),flip(a)]. 14479 a(x,y,K(z * y,u)) = a(u,x,K(z,y)). [hyper(280,a,9103,a(flip),b,14436,a),flip(a)]. 14480 x \ a(y,z,K(u,w)) = x \ a(w,y,K(u,z)). [hyper(111,a,14436,a,b,5,a)]. 14481 K(x,y) * a(z,x,K(y,u)) = K(x,L(y,z,u)). [para(14436(a,2),9389(a,1,2))]. 14482 K(x,y) * a(z,u,K(x,y)) = K(x,L(y,z,u)). [para(14436(a,2),10541(a,1,2))]. 14483 a(x,y,K(z,u)) * K(z,u) = K(z,L(u,x,y)). [para(14436(a,2),10840(a,1,1))]. 14484 a(x,y,K(z,u)) * K(y,x) = K(y,L(x,u,z)). [para(14436(a,1),10882(a,1,1))]. 14485 a(x,y,K(z,u)) * K(u,y) = K(u,L(y,x,z)). [para(14436(a,2),10882(a,1,1))]. 14486 a(x,y,K(z,u)) * K(y,x) != w | K(y,L(x,u,z)) = w. [para(14436(a,1),10902(a,1,1))]. 14487 a(x,y,K(z,u)) * K(z,u) != w | K(z,L(u,x,y)) = w. [para(14436(a,2),10956(a,1,1))]. 14488 a(x,y,K(z,u)) * w != v5 | a(z,u,K(x,y)) * w = v5. [para(14436(a,1),10957(a,1,1))]. 14489 a(x,y,K(z,u)) * w != v5 | a(z,x,K(y,u)) * w = v5. [para(14436(a,2),10957(a,1,1))]. 14490 a(x,y,K(z,u)) * (y \ w) = L(y,u,K(x,z)) \ w. [para(14436(a,1),11815(a,1,1))]. 14491 a(x,y,K(z,u)) * w = w * a(y,z,K(x,u)). [para(14436(a,2),13278(a,2,2))]. 14492 x * a(y,z,K(u,w)) != v5 | a(y,w,K(z,u)) * x = v5. [para(14436(a,1),13292(a,1,2))]. 14493 a(x,y,K(z,u)) * w != v5 | w * a(z,x,K(y,u)) = v5. [para(14436(a,2),13447(a,1,1))]. 14494 K(x,y) * a(z,x,K(u,y)) = K(x,L(y,u,z)). [para(14446(a,1),9389(a,1,2))]. 14495 K(x,y) * a(x,y,K(z,u)) = K(x,L(y,z,u)). [para(14446(a,1),10540(a,1,2))]. 14496 K(x,y) * a(y,z,K(u,x)) = K(x,L(y,u,z)). [para(14446(a,1),10541(a,1,2))]. 14497 a(x,y,K(z,u)) * K(u,x) = K(u,L(x,z,y)). [para(14446(a,1),10840(a,1,1))]. 14498 a(x,y,K(z,u)) * K(x,y) = K(x,L(y,z,u)). [para(14446(a,1),10882(a,1,1))]. 14499 a(x,y,K(z,u)) * K(x,y) != w | K(x,L(y,z,u)) = w. [para(14446(a,1),10902(a,1,1))]. 14500 x * a(x,y,K(z,u)) = L(x,z,K(u,y)). [para(14446(a,1),11750(a,1,2))]. 14501 x * a(y,x,K(z,u)) = L(x,z,K(y,u)). [para(14446(a,1),11774(a,1,2))]. 14503 (x * y) * a(z,y,K(u,w)) = x * L(y,u,K(z,w)). [para(14446(a,1),13427(a,1,2))]. 14504 a(x \ y,x,K(z,u)) = a(x,z,K(y,u)). [hyper(13536,a,14477,a),flip(a)]. 14505 a(x,y * L(z,u,w),K(v5,z)) = a(y,v5,K(x,z)). [hyper(10903,a,14477,a),flip(a)]. 14506 a(x,y \ z,K(y,u)) = a(y,x,K(z,u)). [hyper(280,a,13403,a(flip),b,14477,a),flip(a)]. 14507 a(x,y,K(z,u \ y)) = a(z,x,K(u,y)). [hyper(280,a,9104,a(flip),b,14477,a),flip(a)]. 14508 a(x,y,K(z,y \ u)) = a(z,x,K(y,u)). [hyper(280,a,9099,a(flip),b,14477,a),flip(a)]. 14509 a(x,y,K(z,y * u)) = a(y,z,K(x,u)). [hyper(58,a,10754,a(flip),b,14477,a),flip(a)]. 14510 a(x,y,K(z,L(u,y,w))) = a(z,x,K(y,u)). [para(5162(a,1),14477(a,2,3))]. 14511 a(x,y,K(z,L(u,y * w,v5))) = a(z,x,K(y,L(u,w,v5))). [para(9542(a,1),14477(a,2,3))]. 14512 a(x,y,K(z,u)) * K(x,L(u,z,y)) = K(x,u). [para(14477(a,1),9554(a,1,1))]. 14513 a(x,y,K(z,L(u \ y,w,v5))) = a(z,x,K(u,L(y,w,v5))). [para(9580(a,1),14477(a,2,3))]. 14514 (x * a(y,z,K(x,u))) * L(x \ (a(z,x,K(y,u)) \ x),w,v5) = x * (a(z,x,K(y,u)) * L(a(z,x,K(y,u)) \ 1,w,v5)). [para(14477(a,1),9729(a,1,1,2))]. 14515 a(x,y,K(z,u)) != w | a(x,z,K(u,y)) = w. [para(14477(a,1),10791(a,1))]. 14516 a(x,y,K(z,u)) * K(y,u) = K(y,L(u,z,x)). [para(14477(a,1),10882(a,1,1))]. 14517 a(x,y,K(z * z,u)) = a(y,z,K(x,u * u)). [para(11059(a,2),14477(a,2,3)),flip(a)]. 14518 a(x,y,K(z,L(u,w,v5))) * K(u,y) = K(u,L(y,x,L(z,w,v5))). [para(14477(a,2),10925(a,1,1))]. 14519 a(x,y * K(z,u),K(w,v5)) = a(w,x,K(K(u,z) * y,v5)). [para(12391(a,2),14477(a,2,3))]. 14520 a(x \ y,x,K(z,u)) != w | a(x,z,K(y,u)) = w. [para(14477(a,1),13536(a,1))]. 14521 (x * a(y,z,K(u,w))) * a(v5,v6,K(v7,v8)) = x * (a(v8,v6,K(v5,v7)) * a(y,z,K(u,w))). [para(14472(a,1),13681(a,1,2,3))]. 14522 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [hyper(280,a,14436,a,b,14478,a),flip(a)]. 14523 a(x,T(y,z),K(u,w)) = a(u,x,K(y,w)). [hyper(280,a,10481,a,b,14478,a),flip(a)]. 14524 (K(x,y) * z) \ ((K(x,y) * (z * u)) / u) = a(y,u,K(x,z)). [hyper(58,a,14007,a,b,14478,a)]. 14525 K(x,(y * z) \ ((z * (T(y,z) * u)) / u)) = a(x,z,K(u,y)). [hyper(58,a,9731,a,b,14478,a)]. 14526 K(x,L(y,T(z,u),w)) = K(x,y) * a(x,w,K(y,z)). [para(14478(a,1),9389(a,1,2)),flip(a)]. 14527 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(11799,a,14500,a),flip(a)]. 14528 L(x,y,K(z,u)) != w | L(x,u,K(y,z)) = w. [para(14500(a,1),11799(a,1))]. 14529 L(x,K(y,z),K(u,w)) = x. [hyper(13165,a,14527,a),flip(a)]. 14530 L(T(x,L(y,z,u)),u,K(y,w)) = T(x,L(L(y,z,u),w,u)). [hyper(280,a,11792,a(flip),b,14527,a),flip(a)]. 14531 L(T(x,y),z,K(y,u)) = T(x,L(y,u,z)). [hyper(280,a,11779,a(flip),b,14527,a),flip(a)]. 14532 L(T(x,y),y,K(z,u)) = T(x,L(y,z,u)). [hyper(58,a,11779,a(flip),b,14527,a),flip(a)]. 14533 K(x,y) * (z * T(u,K(x,y) * z)) = L(u,x,K(y,z)) * (K(x,y) * z). [para(14527(a,2),698(a,2,1))]. 14534 L(x,y \ 1,K(z,u)) = L(x,z,K(y,u)). [para(3566(a,1),14527(a,1,3)),flip(a)]. 14535 L(x,K(y,z) * u,K(w,y)) = L(x,w,K(y,u)). [para(4088(a,1),14527(a,1,3)),flip(a)]. 14536 L(x,y,K(z,u)) * (K(y,z) * u) = (x * u) * K(y,T(z,u)). [para(14527(a,2),11147(a,1,1))]. 14537 L(x,y,K(z,u)) != w | L(w,z,K(y,u)) = x. [para(14527(a,1),11786(a,1))]. 14538 L(x * y,z,K(x,u)) = x * L(y,u,K(z,x)). [para(14527(a,1),11802(a,2,2))]. 14539 L((x * y) \ z,u,K(y,x)) = (x * y) \ L(z,x,K(u,y)). [para(14527(a,1),11855(a,2,2))]. 14540 L(x,K(y,z),K(u,w)) != v5 | v5 = x. [para(14527(a,1),13164(a,1))]. 14542 L(x,K(y,z),a(u,w,K(v5,v6))) = x. [hyper(11850,a,14529,a)]. 14543 T(x,a(y,K(z,u),w)) = x. [hyper(11775,a,14529,a)]. 14544 a(x,K(y,z),u) * w = w * a(x,K(y,z),u). [hyper(11757,a,14529,a),flip(a)]. 14549 (x / L(y,K(z,u),w)) * y = y * (L(y,K(z,u),w) \ x). [hyper(58,a,13685,a(flip),b,14529,a)]. 14550 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(58,a,11789,a(flip),b,14529,a),flip(a)]. 14551 (K(x,y) * K(z,u)) \ w = K(u,z) * (K(y,x) * w). [hyper(58,a,4863,a(flip),b,14529,a)]. 14552 T(a(x,K(y,z),u),w) = a(x,K(y,z),u). [hyper(226,a,14529,a(flip),b,11756,a(flip))]. 14556 L(x,a(y,z,K(u,w)),K(v5,v6)) = x. [para(9552(a,1),14529(a,1,2))]. 14558 (K(x,y) * K(z,u)) * w = K(z,u) * (K(x,y) * w). [para(14529(a,1),12231(a,1,2))]. 14559 x / a(y,K(z,u),w) = a(y,K(z,u),w) \ x. [hyper(6107,a,14543,a),flip(a)]. 14560 T(x,a(y,K(z,u),w)) != v5 | x = v5. [para(14543(a,1),44(a,2))]. 14561 x / a(y,K(z,u),w) != v5 | a(y,K(z,u),w) \ x = v5. [para(14543(a,1),352(a,1))]. 14563 L(x,K(y,z),u) * T(w,x) = w * L(x,K(y,z),u). [para(14550(a,1),101(a,1,2))]. 14565 L(x,a(y,z,K(u,w)),a(v5,v6,K(v7,v8))) = x. [para(9552(a,1),14542(a,1,2))]. 14566 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * a(y,z,K(u,w))). [para(14556(a,1),13157(a,1,1)),flip(a)]. 14568 a(x,y \ z,K(u,y)) = a(y,u,K(z,x)). [hyper(58,a,14436,a(flip),b,14504,a)]. 14570 a(x,y,K(a(z,u,w),v5 \ y)) = a(z,x,a(v5,u,K(w,y))). [hyper(280,a,10994,a(flip),b,14507,a),flip(a)]. 14571 a(x,y,a(z,u,K(w,v5 \ y))) = a(z,a(x,u,w),K(v5,y)). [hyper(58,a,10994,a(flip),b,14507,a)]. 14572 a(x,y,K(z,L(u \ y,w,v5))) = a(z,L(x,w,v5),K(u,y)). [hyper(58,a,10923,a(flip),b,14507,a)]. 14573 K(x,L(y,z,u \ z)) = a(x,y,K(u,z)) * K(x,y). [para(14507(a,1),10840(a,1,1)),flip(a)]. 14574 a(x \ y,y,K(z,u)) = w / (w * a(z,u,K(x,y))). [para(14507(a,1),13305(a,1,2,2)),flip(a)]. 14575 a(x,y / z,K(u,w)) = a(x,z \ y,K(u,w)). [para(103(a,1),14522(a,1,2)),flip(a)]. 14578 a(x,T(y,z),K(u,w)) = a(u,x,K(y,T(w,v5))). [hyper(13388,a,14523,a)]. 14579 (K(x * x,y) * (z * u)) / ((K(x,y * y) * z) * u) = a(x,u,K(z,y * y)). [hyper(58,a,11582,a,b,14523,a)]. 14580 ((K((x * y) * z,u) * x) * y) \ ((x * y) * K(z * (x * y),u)) = a(z * (x * y),y,K(x,u)). [hyper(58,a,11347,a,b,14523,a)]. 14581 L(T(T(x,L(y,z,u)),y),u,K(y,z)) = T(x,L(y,z,u) * L(y,z,u)). [hyper(280,a,11022,a(flip),b,14531,a),flip(a)]. 14582 L(x * y,z,K(y,u)) = T(y * x,L(y,u,z)). [para(897(a,1),14531(a,1,1))]. 14583 T(T(x,y \ 1),L(y,z,u)) = L(x,u,K(y,z)). [para(3489(a,1),14531(a,1,1)),flip(a)]. 14584 L(T(x,y),z,K(y,u * K(w,v5))) = T(x,L(y,K(v5,w) * u,z)). [para(12290(a,1),14531(a,1,3))]. 14585 T(x,L(y * z,z,y)) = T(x,y * z). [hyper(4173,a,14532,a),flip(a)]. 14586 T(x,L(y * z,z,y)) != u | T(x,y * z) = u. [para(14532(a,1),4173(a,1))]. 14587 L(L(a(x,y,K(z,u)) * w,v5,v6),x,K(w,u)) = L((K(x,u) / w) \ K(x,L(u,y,z)),v5,v6). [hyper(58,a,14293,a(flip),b,14534,a),flip(a)]. 14588 L(a(x,K(y,z),u),w,K(v5,v6)) = a(x,K(y,z),u). [hyper(11748,a,14552,a)]. 14589 a(x,K(y,z),u) != w | T(a(x,K(y,z),u),v5) = w. [para(14552(a,1),487(a,1))]. 14590 K(x,L(y,z,a(u,K(w,v5),v6))) * (a(u,K(w,v5),v6) * z) = (K(x,y) * z) * a(u,K(w,v5),v6). [para(14552(a,1),11118(a,2,2))]. 14591 T(x \ L(x,K(y,z),u),w) = a(x,K(y,z),u). [para(14247(a,2),14552(a,1,1))]. 14592 a(x,y,K(z,u)) * K(y,L(u,z,w)) = K(y,L(L(u,z,w),z,x)). [para(14510(a,1),10882(a,1,1))]. 14594 a(x,y,K(z,u)) * (L(u,z,w) * v5) = L(L(u,z,w),z,K(y,x)) * v5. [para(14510(a,1),11813(a,1,1))]. 14595 L(x,y,K(z,u)) != w | L(x,z,K(u,y)) = w. [para(14527(a,2),14528(a,1))]. 14596 a(x,y,K(z,u)) * (T(a(w,v5,K(v6,v7)),a(x,y,K(z,u))) * v8) = (a(u,y,K(x,z)) * a(w,v5,K(v6,v7))) * v8. [para(14565(a,1),13316(a,1,2)),flip(a)]. 14597 a(x,y,K(z,u)) * (K(L(z,u,y),x) * w) = K(z,x) * w. [para(14434(a,1),9006(a,1,1))]. 14598 K(x,K(y,z)) * a(y,u,K(x,w)) = K(x,y) * K(y,L(T(x,z),w,u)). [para(14434(a,1),13789(a,1,2))]. 14599 T((x \ y) * K(x,L(y,z,u)),x) = (x \ y) * a(x,u,K(y,z)). [para(14434(a,1),14057(a,1,2)),flip(a)]. 14600 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,u \ y,z)). [para(2896(a,1),14437(a,1,2,3))]. 14601 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,u \ 1,z)). [para(3566(a,1),14437(a,1,2,3))]. 14602 K(x,y) * (T(x,z) \ a(x,u,K(y,w))) = T(x,z) \ K(x,L(y,w,u)). [para(14437(a,1),7329(a,1,2)),flip(a)]. 14603 K(x,L(y,L(z,u,u \ 1),w)) = K(x,y) * a(x,w,K(y,z)). [para(10507(a,1),14437(a,1,2,3)),flip(a)]. 14604 K(x,L(y,L(z,u,L(u,w,v5)),v6)) = K(x,y) * a(x,v6,K(y,z)). [para(10857(a,1),14437(a,1,2,3)),flip(a)]. 14605 K(x,y) * a(x,z,K(y,u / w)) = K(x,L(y,u * (w \ y),z)). [para(11321(a,1),14437(a,1,2,3))]. 14606 K(x,L(y,z,u \ (u / w))) = K(x,L(y,w,z)). [hyper(10960,a,14441,a)]. 14607 K(x,L(y,z,u \ ((u / w) * L(w,v5,v6)))) = K(x,L(y,L(w,v5,v6) \ w,z)). [hyper(58,a,11621,a,b,14441,a)]. 14608 K(x,L(y,z,u * (w \ 1))) = K(x,L(y,u \ w,z)). [hyper(58,a,13389,a(flip),b,14441,a)]. 14609 (a(x,y,K(z,u)) * w) \ (a(x,u,K(y,z)) * (w * v5)) = L(v5,w,a(x,u,K(y,z))). [para(14449(a,2),13(a,2,1)),flip(a)]. 14610 (a(x,y,K(z,u)) * w) \ (a(x,u,K(y,z)) * (w * v5)) != v6 | L(v5,w,a(x,y,K(z,u))) = v6. [para(14449(a,1),562(a,1,2))]. 14611 K(x,y) * a(z,y,K(x,u * w)) = K(x,L(y,u * (w * x),z)). [para(4600(a,1),14450(a,1,2,3))]. 14612 K(x,L(y,z,z \ u)) = a(u,y,K(x,z)) * K(x,y). [para(10705(a,1),14451(a,1,1)),flip(a)]. 14613 K(x,L(y,z,u)) != w | a(x,y,K(z,u)) * K(x,y) = w. [para(14451(a,1),10957(a,1))]. 14615 ((x \ a(y,z,K(u,w))) \ 1) * (x \ L(a(w,y,K(u,z)),v5,v6)) = a(w,y,K(u,z)) \ L(a(w,y,K(u,z)),v5,v6). [para(14480(a,2),8692(a,1,1,1))]. 14616 a(x,y,K(z,u \ w)) * K(z,y) = K(z,L(y,x,w \ u)). [para(3570(a,1),14485(a,1,1,3))]. 14617 a(x,y,K(z,u)) * w != v5 * a(y,z,K(x,u)) | v5 = w. [para(14491(a,1),38(a,1)),flip(a)]. 14618 K(x,(y * (z * u)) \ ((y * z) * (L(u,z,y) * w))) = a(x,w,K(L(u,z,y),y * z)) * K(x,w). [para(554(a,2),14498(a,2,2)),flip(a)]. 14619 K(x,L(y,z,u)) * (K(x,y) \ (L(a(x,y,K(z,u)),w,v5) * (a(x,y,K(z,u)) \ K(x,y)))) = L(a(x,y,K(z,u)),w,v5) * K(x,y). [para(14498(a,1),2590(a,1,1))]. 14620 K(x,L(y,z * u,z)) = a(x,y,K(u,z)) * K(x,y). [para(2908(a,1),14498(a,1,1,3)),flip(a)]. 14621 K(x,L(y,z,u \ (z * w))) = a(x,y,K(z,u \ w)) * K(x,y). [para(5177(a,1),14498(a,1,1,3)),flip(a)]. 14622 K(x,L(y,z * u,L(z,w,v5))) = a(x,y,K(u,L(z,w,v5))) * K(x,y). [para(9424(a,1),14498(a,1,1,3)),flip(a)]. 14623 K(x,L(y,z,L(T(z,u) \ w,v5,v6))) = a(x,y,K(z,L(w,v5,v6))) * K(x,y). [para(9576(a,1),14498(a,1,1,3)),flip(a)]. 14624 a(x,y,a(z,u,K(w,v5))) * K(x,y) = K(x,L(y,a(z,u,w),v5)). [para(9700(a,2),14498(a,1,1,3))]. 14625 a(x,y,a(z,u,K(w,v5))) * K(x,y) = K(x,L(y,z,a(v5,u,w))). [para(10530(a,2),14498(a,1,1,3))]. 14626 a(x,y,K(z,u / w)) * K(x,y) = K(x,L(y,w * (u \ 1),z)). [para(10606(a,1),14498(a,1,1,3))]. 14627 a(x,K(y,z) * u,K(w,v5)) * K(x,K(z,y) * u) = K(x,L(K(y,z) * u,w,v5)). [para(11953(a,1),14498(a,1,2))]. 14628 K(x,L(L(y,z,u),u,z)) = K(x,y). [hyper(10961,a,14512,a)]. 14630 K(x,L((y * z) / u,z,z \ u)) = K(x,y / (u / z)). [para(11342(a,1),14628(a,1,2,1))]. 14631 a(x,y,a(z,u,K(w,v5))) * K(y,v5) = K(y,L(v5,z,a(x,u,w))). [para(10994(a,1),14516(a,1,1))]. 14632 T(L(x,y,K(z,u)) * u,x) = K(y,z) * ((K(y,z) \ u) * x). [para(14535(a,1),10913(a,1,1,1))]. 14633 K(x,L(y,z,T(u,w))) = a(z,y,K(u,T(x,v5))) * K(x,y). [para(14578(a,1),14497(a,1,1)),flip(a)]. 14634 T(T(x,y \ 1),L(y,z,u)) = T(x,a(z,u,y)). [hyper(280,a,11747,a(flip),b,14583,a),flip(a)]. 14635 L(L(x,y,K(z,u)),w,v5) = L(L(x,u,K(y,z)),w,v5). [para(14583(a,1),11866(a,1,1))]. 14636 K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). [para(64(a,1),14606(a,1,2,3,2))]. 14637 K(x,L(y,z,L(u \ 1,u,w))) = K(x,L(y,u,z)). [para(336(a,2),14606(a,1,2,3))]. 14638 K(x \ y,L(T(z,u \ y),u,y)) = K(z,((u \ 1) * x) / ((u \ 1) * y)). [hyper(58,a,10738,a(flip),b,14636,a),flip(a)]. 14639 K(x,L(y,z \ 1,u)) = K(x,L(y,u,z)). [para(378(a,1),14636(a,1,2,3)),flip(a)]. 14640 T(x,L(y,z,u \ 1)) = x * K(x,L(y,u,z)). [para(14636(a,1),2882(a,2,2))]. 14641 L(x,y,y \ 1) * K(z,L(u,y,x * y)) = (y \ 1) * ((y * x) * K(z,u)). [para(14636(a,1),9490(a,1,2))]. 14643 K(x,L(y,z,K(u,w) / (v5 / u))) = K(x,L(y,v5 / T(u,w),z)). [para(10567(a,1),14636(a,1,2,3))]. 14644 K(x,L(y,z,(u \ K(w,v5)) * (v6 \ 1))) = K(x,L(y,v6 * (K(v5,w) * u),z)). [para(10647(a,1),14636(a,1,2,3))]. 14645 K(x,L(y,z \ 1,u)) = K(x,L(y,u,z * y)). [hyper(9613,a,14639,a)]. 14646 (x * (y \ T(y * z,u))) \ (x * z) = K(u,L(y * z,x,y)). [hyper(58,a,10920,a,b,14639,a)]. 14647 K(x \ (y \ 1),L(T(z,y \ (y \ u)),y \ u,y)) = K(z,((u / y) * x) / ((u / y) * (y \ 1))). [hyper(58,a,11661,a(flip),b,14639,a),flip(a)]. 14648 K(x,((y * z) * u) / ((y * z) * (z \ 1))) = K(u \ (z \ 1),L(T(x,y),y * z,z)). [hyper(58,a,11425,a(flip),b,14639,a)]. 14649 a(x,y,K(z,L(u,w,v5))) * K(u,z) = K(u,L(z,y,L(x,v5 \ 1,w))). [para(14639(a,1),10925(a,1,1,3))]. 14650 K(x,L(y,z,((1 / u) * (u * w)) / w)) = K(x,L(y,a((u * w) \ 1,u,w),z)). [para(11738(a,1),14639(a,1,2,2)),flip(a)]. 14651 K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. [para(14639(a,1),13236(a,1))]. 14654 K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(4303(a,1),14651(a,1,2))]. 14655 a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = T(a(x,y,z),a(w,v5,u)) \ a(x,y,z). [para(14634(a,1),14280(a,1,1)),flip(a)]. 14656 T(x,L(y,z,u \ 1)) = T(x,L(y,u,z)). [hyper(280,a,2882,a,b,14640,a),flip(a)]. 14657 T(x,L(y,z \ 1,u)) = T(x,L(y,u,z)). [para(378(a,1),14656(a,1,2,3)),flip(a)]. 14658 T(x,L((y \ 1) \ z,y * T(y,u),y)) = T(x,T(y,u) \ ((y * T(y,u)) * z)). [para(2694(a,1),14657(a,1,2)),flip(a)]. 14659 K(x,L(y,z,u * y)) = K(x,L(y,z,u)). [hyper(58,a,14639,a(flip),b,14645,a),flip(a)]. 14660 (x * K(y,T(z,u))) \ ((x / u) * (K(y,z) * u)) != w | a(u,z,K(x,y)) = w. [para(13717(a,2),14520(a,1))]. 14662 K(x,T(y,z)) * (z * K(u,w)) = z * (K(u,w) * K(x,y)). [hyper(58,a,12595,a,b,14461,a)]. 14663 (x * K(y,z)) * K(u,w) != v5 | x * (K(u,w) * K(y,z)) = v5. [para(14461(a,2),12425(a,1))]. 14664 (x * K(y,z)) \ K(u,w) = K(z,y) * (x \ K(u,w)). [hyper(4345,a,14465,a)]. 14669 K(x,y) * ((K(z,u) * K(y,x)) * w) = K(z,u) * w. [para(14465(a,2),14033(a,1,2))]. 14673 ((x * (y * K(z,u))) * K(w,v5)) / a(x,y * K(z,u),K(w,v5)) = x * (y * (K(w,v5) * K(z,u))). [para(14467(a,1),170(a,2,2))]. 14674 T(x,K(y,z)) * (K(u,w) * K(z,y)) = (K(z,y) * x) * K(u,w). [para(3531(a,1),14467(a,1,1)),flip(a)]. 14676 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [hyper(280,a,14437,a(flip),b,14526,a),flip(a)]. 14677 K(x,L(T(y,z),y \ u,w)) = K(x,L(T(y,z),u,w)). [hyper(9481,a,14676,a)]. 14678 K(x \ T(y,z),L(T(u,y * (T(y,z) / w)),y,w \ y)) = K(u,((w \ y) * x) / ((w \ y) * T(y,z))). [hyper(58,a,12384,a(flip),b,14676,a),flip(a)]. 14679 K(T(x \ y,x),L(T(z,u * T(y,x)),y,u)) = K(z,(u * x) / (u * T(y,x))). [hyper(58,a,9602,a(flip),b,14676,a),flip(a)]. 14680 (x * T(y,z)) * K(u,L(w,y,x)) != v5 | x * (T(y,z) * K(u,w)) = v5. [para(14676(a,1),9397(a,1,2))]. 14683 (K(x,y) * (K(z,u) * w)) \ ((K(z,u) * K(x,y)) * (w * v5)) = L(v5,w,K(z,u) * K(x,y)). [para(14558(a,1),13(a,2,1)),flip(a)]. 14684 (x * ((K(y,z) * K(u,w)) \ v5)) / v5 = v5 / (K(u,w) * (K(y,z) * (x \ v5))). [para(14558(a,1),692(a,2,2))]. 14685 (K(x,y) * K(z,u)) * ((K(x,T(y,w)) * v5) \ K(x,y)) = K(z,u) * ((K(x,y) / v5) * K(w,K(x,y))). [para(3656(a,1),14558(a,2,2))]. 14686 K(x,L(y,z,u \ z)) = K(x,L(y,u,z)). [hyper(280,a,14498,a(flip),b,14573,a),flip(a)]. 14687 K(x / y,L(z,x,y)) = K(z,y / x). [hyper(11200,a,14686,a),flip(a)]. 14688 a(x / y,z,K(u,L(w,x,y))) = K(a(w,z,u),y / x). [hyper(58,a,10990,a,b,14687,a)]. 14689 a(x \ y,y,K(z,u)) = a(y,u,K(x,z)). [hyper(280,a,13305,a(flip),b,14574,a),flip(a)]. 14690 K(x,L(y,z \ y,u)) != w | K(x,L(y,u,z)) = w. [para(14600(a,1),13291(a,1))]. 14691 K(x,L(y,z \ 1,u)) != w | K(x,L(y,u,z)) = w. [para(14601(a,1),13291(a,1))]. 14692 K(x,L(y,(z \ 1) * u,w)) != v5 | K(x,L(y,w,(u \ 1) * z)) = v5. [para(528(a,1),14691(a,1,2,2))]. 14693 K(x,L(y,z,u * y)) != w | K(x,L(y,z,u)) = w. [para(14645(a,1),14691(a,1))]. 14694 K(x,L(y,z \ (u \ 1),w)) = K(x,L(y,w,z * u)). [para(378(a,1),14608(a,1,2,3,2)),flip(a)]. 14695 K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). [hyper(280,a,14451,a(flip),b,14612,a),flip(a)]. 14696 K(x,L(y,z,z * u)) = K(x,L(y,z,u)). [para(4(a,1),14695(a,1,2,3)),flip(a)]. 14697 K(x,L(y,z * u,L(L(w \ 1,w,u),u,z))) = K(x,L(y,z * u,z * (u / w))). [para(360(a,2),14695(a,1,2,3))]. 14699 x * K(y,L(T(z,u),u,x)) = (x / u) * (K(y,z) * u). [para(14695(a,1),9452(a,1,2))]. 14700 K(x,L(y,z,L(u,w,v5 / w))) = a(u,z,K(y,L(x,w,v5))) * K(x,y). [para(14695(a,1),11237(a,1,1,3)),flip(a)]. 14701 K(x,L(y,z,K(u,w))) * K(w,u) = (K(x,y) / z) * (z * K(w,u)). [para(14695(a,1),11429(a,1,1))]. 14702 x / K(y,L(T(z,u),T(u,w),x)) = (x / (K(y,z) * T(u,w))) * T(u,w). [para(14695(a,1),12509(a,1,2))]. 14703 K(x,L(y,z,u * z)) = K(x,L(y,z,u)). [para(6674(a,2),14696(a,1,2))]. 14704 K(x,L(y,z * u,z)) = K(x,L(y,u,z)). [hyper(280,a,14498,a(flip),b,14620,a),flip(a)]. 14705 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [para(5(a,1),14704(a,1,2,2)),flip(a)]. 14706 T(x,L(y,z * u,z)) = x * K(x,L(y,u,z)). [para(14704(a,1),2882(a,2,2))]. 14707 K(x / (y / z),L(u,y,z)) = K(u,y / (x * z)). [hyper(11344,a,14705,a),flip(a)]. 14708 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,z,y)). [hyper(9470,a,14705,a)]. 14709 K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). [hyper(9413,a,14705,a),flip(a)]. 14710 K(x,L(y,L(z,z \ u,w),w * (z \ u))) = K(x,L(y,w * T(u,z),w * (z \ u))). [para(939(a,1),14705(a,1,2,2))]. 14711 K(x,y \ (z * (u * (z \ y)))) = K(x,L(T(u,z \ y),y,z)). [para(824(a,1),14705(a,1,2))]. 14712 K(x,L(y \ (z \ u),u,z)) != w | K(x,(z * y) \ u) = w. [para(14705(a,1),9413(a,1))]. 14713 K(x / (y / z),L(u,y,z)) != w | K(u,y / (x * z)) = w. [para(14705(a,1),11344(a,1))]. 14714 T(x,L(y,z * u,z)) != w | T(x,L(y,u,z)) = w. [para(14706(a,2),2916(a,1))]. 14715 K((x / y) / ((x / y) * z),L(u,x,y)) = K(u,x / (((x / y) / z) * y)). [para(374(a,1),14707(a,1,1))]. 14716 K((x * ((x \ y) / z)) \ y,u \ w) = K(w \ u,L(z,y,x)). [hyper(3578,a,14708,a)]. 14717 a((x * ((x \ y) / z)) \ y,u,K(w,v5)) = a(w,u,K(v5,L(z,y,x))). [para(14708(a,1),10481(a,1,3)),flip(a)]. 14718 K(x,L(T(y,z) \ (u \ w),w,u)) = K(x,(u * (z * (y / z))) \ w). [hyper(58,a,13864,a(flip),b,14709,a)]. 14719 K(x,L(y \ (K(z,u) * w),u * w,T(u,z))) = K(x,(T(u,z) * y) \ (u * w)). [para(4376(a,1),14709(a,1,2,1,2))]. 14720 K(x,L(y \ (z * K(u,w)),w,T(w,u) / z)) = K(x,((T(w,u) / z) * y) \ w). [para(10669(a,1),14709(a,1,2,1,2))]. 14722 (K(x,y) * (z \ K(u,w))) \ 1 = K(w,u) * (z * K(y,x)). [para(14664(a,1),10588(a,1,1))]. 14723 K(x,y) * (a(x,z,K(y,u)) * w) = K(x,L(y,u,z)) * w. [para(14434(a,1),14669(a,1,2,1))]. 14724 K(x,L(y,z \ L(u,u \ 1,w \ 1),v5)) = K(x,L(y,v5,z * L(u \ 1,u,w))). [para(3993(a,2),14694(a,1,2,2,2))]. 14725 K(x,L(y,T(z,u),w)) != v5 | K(x,L(y,z,w)) = v5. [para(14526(a,2),14440(a,1))]. 14726 K(x,L(y,z / u,w)) != v5 | K(x,L(y,u \ z,w)) = v5. [para(3508(a,1),14725(a,1,2,2))]. 14727 (T(K(x,y) * z,x) * u) / (T(z,x) * u) != w | K(x,L(y,z,u)) = w. [para(11115(a,2),14725(a,1))]. 14728 K(x,L(y,z,z \ u)) != w | K(x,L(y,z,u)) = w. [para(14612(a,2),14453(a,1))]. 14730 a(x,y,K(z,u)) * a(w,v5,K(v6,v7)) != v8 | a(x,u,K(y,z)) * a(v6,v7,K(w,v5)) = v8. [para(14454(a,1),14492(a,1))]. 14732 a(x,y,a(z,u,K(w,v5))) * K(x,y) != v6 | K(x,L(y,z,a(v5,u,w))) = v6. [para(10530(a,2),14499(a,1,1,3))]. 14733 K(x,L(y,z,u \ z)) != w | K(x,L(y,u,z)) = w. [para(14573(a,2),14499(a,1))]. 14734 K(x,L(y,z * u,z)) != w | K(x,L(y,u,z)) = w. [para(14620(a,2),14499(a,1))]. 14735 K(x,L(y,z * u,u)) != w | K(x,L(y,z,u)) = w. [para(6717(a,2),14734(a,1,2))]. 14736 K(x,y / (z / u)) != w | K(x,L((y * u) / z,u,z)) = w. [para(14630(a,1),14728(a,1))]. 14737 a(x \ y,z,K(u,L(w,y,x))) = K(a(w,z,u),x / y). [hyper(58,a,13421,a(flip),b,14688,a)]. 14738 a(x \ y,z,K(u,L(w,y,x))) = a(w,z,K(u,x / y)). [hyper(280,a,9700,a,b,14737,a),flip(a)]. 14739 a(x \ y,z,K(u,L(w,y,x))) = a(w,z,K(u,y \ x)). [hyper(280,a,13384,a(flip),b,14738,a),flip(a)]. 14741 K(x,y) * (z * a(x,u,K(y,w))) = K(x,L(y,w,u)) * z. [hyper(4283,a,14444,a)]. 14742 ((x / (K(y * z,u) * z)) * z) * K(z * y,u) = x * a(u,z \ x,K(z * y,z)). [hyper(58,a,11677,a(flip),b,14444,a)]. 14743 ((x / (y \ (z * K(y,u)))) * (y \ z)) * K(y,u) = x * a(u,(y \ z) \ x,K(y,z)). [hyper(58,a,11675,a(flip),b,14444,a)]. 14744 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = x * a(u,(y \ z) \ x,K(z,y \ z)). [hyper(58,a,11639,a(flip),b,14444,a)]. 14745 K(x,y) * (L(y,z,u) \ (K(y,L(x,w,v5)) * v6)) = L(y,z,u) \ (v6 * a(y,v5,K(x,w))). [hyper(111,a,14444,a(flip),b,6628,a),flip(a)]. 14747 a(x,y,K(z,u)) * (K(u,L(a(x,y,z),w,v5)) * v6) = v6 * a(u,v5,K(a(x,y,z),w)). [para(9700(a,2),14444(a,1,1))]. 14748 (K(x,y) * ((K(y,L(x,z,u)) * w) * v5)) \ (v5 \ (K(x,y) * ((K(y,L(x,z,u)) * w) * v5))) = (w * a(y,u,K(x,z))) \ (v5 \ (K(x,y) * (K(y,L(x,z,u)) * w))). [para(14444(a,1),12064(a,2,1))]. 14749 K(x,y) * (K(z,u) * (K(y,L(x,w,v5)) * v6)) = (K(z,u) * v6) * a(y,v5,K(x,w)). [para(14032(a,1),14444(a,1,2))]. 14750 K(x,y) * (a(z,u,K(w,v5)) * K(y,L(x,v6,v7))) = a(z,w,K(v5,u)) * a(y,v7,K(x,v6)). [para(14455(a,2),14444(a,1,2))]. 14751 K(K(T(x,y),z) * (u / y),w) = K(u / (y * K(z,x)),w). [hyper(12346,a,14469,a)]. 14753 T(L(T(x,y),K(z,u),w) / T(x,y),x) = a(x,K(z,u),w). [hyper(4524,a,14475,a)]. 14755 (L(x,K(y,z),u) \ (L(x,K(y,z),u) / w)) * x = x * (L(x,K(y,z),u) \ (w \ L(x,K(y,z),u))). [para(935(a,1),14549(a,1,1))]. 14756 a(x,y,a(z,u,K(w,v5 \ y))) = a(z,x,a(v5,u,K(w,y))). [para(9700(a,2),14570(a,1,3))]. 14757 a(x,L(y,z,u),K(w,v5)) = a(x,y,K(w,L(v5,z,u))). [hyper(58,a,14513,a(flip),b,14572,a),flip(a)]. 14758 x * a(x,y,K(z,L(u,w,v5))) = L(x,L(y,w,v5),K(z,u)). [para(14757(a,1),11750(a,1,2))]. 14759 K(x,y) * a(x,z,K(y,L(u,w,v5))) = K(x,L(y,u,L(z,w,v5))). [para(14757(a,1),14437(a,1,2))]. 14760 a(x,y,K(z,L(u,w,v5))) * K(z,u) = K(z,L(u,x,L(y,w,v5))). [para(14757(a,1),14483(a,1,1))]. 14761 a(x,y,K(z,u)) * (K(z,L(x,u,y)) * w) = K(z,x) * w. [para(9511(a,1),14597(a,1,2,1))]. 14762 K(x,a(y,z,u)) * (K(L(u,y,z),x) * w) = K(u,x) * w. [para(10530(a,1),14597(a,1,1))]. 14763 K(x,y / (K(L(z,u,w),v5) * v6)) = K(x,y / (K(z,v5) * v6)). [para(14597(a,1),14213(a,1,2,2)),flip(a)]. 14764 L(x,y,z) \ (u * T(T(u \ L(x,y,z),x),x)) = K(x,u) * K(x,u). [hyper(8171,a,14662,a)]. 14765 T(T(x,y),z) * (x \ y) = y * (K(x,y) * K(x,z)). [hyper(58,a,4811,a(flip),b,14662,a)]. 14766 x * (K(y,z) * K(u,L(T(w,x),v5,v6))) = K(u,L(w,v5,v6)) * (x * K(y,z)). [para(5436(a,1),14662(a,1,1)),flip(a)]. 14767 T(K(x,y) * z,x \ z) = z * (K(x,z) * K(x,y)). [hyper(58,a,4010,a,b,14765,a)]. 14768 L(x \ 1,x,T(K(y,z) * (x * u),y \ (x * u))) = L(x \ 1,x,(K(y,x * u) * K(y,z)) * u). [para(14767(a,2),11190(a,1,3))]. 14769 (x \ K(y,z)) \ K(u,w) = K(z,y) * (x * K(u,w)). [hyper(10653,a,14722,a)]. 14770 K(x,y) * T(a(x,z,K(y,u)) * w,v5) = K(x,L(y,u,z)) * T(w,v5). [para(13541(a,2),14723(a,1,2))]. 14771 K(x,L(y,z,u)) * w != K(x,y) * (v5 * a(x,u,K(y,z))) | v5 = w. [para(14741(a,2),38(a,1)),flip(a)]. 14772 K(x,y) * (K(y,L(x,z,u)) * w) != v5 | w * a(y,u,K(x,z)) = v5. [para(14741(a,1),4300(a,1,2)),flip(b)]. 14773 K(K(x,T(y,z)) * (u / z),w) = K(u / (z * K(y,x)),w). [para(3638(a,1),14751(a,1,1,1))]. 14774 T(T(x,y) \ L(T(x,y),K(z,u),w),x) = a(x,K(z,u),w). [para(445(a,1),14753(a,1,1))]. 14775 a(x,a(y,z,u),K(w,v5)) = a(x,y,a(w,z,K(u,v5))). [hyper(58,a,14571,a(flip),b,14756,a)]. 14776 K(x,y) * a(y,z,a(u,w,K(v5,x))) = K(x,L(y,u,a(z,w,v5))). [para(14775(a,1),14496(a,1,2))]. 14777 L(x,L(y,z,u),K(w,v5)) = L(x,y,K(w,L(v5,z,u))). [hyper(11799,a,14758,a),flip(a)]. 14778 L(x,L(y,z,u),K(w,v5)) != v6 | L(x,y,K(w,L(v5,z,u))) = v6. [para(14758(a,1),11799(a,1))]. 14779 T(x,L(y,z,u)) \ (T(x,a(z,u,y)) * w) = K(y,x) * w. [hyper(58,a,7303,a,b,14762,a)]. 14780 K(x / (y * K(z,u)),w) = K((x / y) * K(z,u),w). [hyper(12559,a,14773,a),flip(a)]. 14781 K((x / (y \ z)) * K(y,z),u) = K(x / (z / y),u). [para(2993(a,1),14780(a,1,1,2)),flip(a)]. 14782 K(x / T(y \ z,z),u) = K(x / (z / y),u). [para(4420(a,1),14781(a,1,1))]. 14783 K(x,T(y \ z,z) / u) = K(u / (z / y),x). [hyper(3710,a,14782,a)]. 14784 K(x,T(y \ z,z) / u) = K(x,(z / y) / u). [hyper(280,a,3573,a(flip),b,14783,a),flip(a)]. 14785 K(x,T(y \ z,z) / u) != w | K(x,(z / y) / u) = w. [para(14783(a,2),3710(a,1))]. 14786 K(x,T(y \ z,z) / u) != w | K(u / (z / y),x) = w. [para(14784(a,2),3731(a,1))]. 14787 a(T(x,y),K(z,u),w) = a(x,K(z,u),w). [hyper(58,a,14591,a(flip),b,14774,a)]. 14789 T(x,L(y,z,u)) * (K(y,x) * w) = T(x,a(z,u,y)) * w. [hyper(126,a,14779,a)]. 14790 T(T(x,L(y,z,u)),y \ x) = T(x,a(z,u,y)). [hyper(6274,a,14789,a)]. 14792 (K(x * x,y) * z) \ (u \ ((u * z) * K(x * x,y))) = a(y,u,K(x * x,z)). [para(12449(a,1),14524(a,1,2))]. 14794 K(x,y \ L(y,z,u)) = a(x,u,K(y,z)). [hyper(58,a,9696,a(flip),b,14525,a)]. 14795 K(x,y \ ((y / z) * L(z,u,w))) = a(x,w,K(z,u)). [hyper(58,a,9686,a,b,14794,a)]. 14796 K(x,L(y,z,L(u,w,v5) \ u)) = a(z,y,a(x,v5,K(u,w))) * K(x,y). [para(14794(a,1),14616(a,1,1,3)),flip(a)]. 14797 K(x,L(y,L(z,u,u \ 1),w)) = K(x,L(y,z,w)). [hyper(280,a,14437,a(flip),b,14603,a),flip(a)]. 14798 K(x,L(y,(z \ 1) * u,w)) = K(x,L(y,z \ u,w)). [para(680(a,1),14797(a,1,2,2))]. 14799 K(x,L(y,(z \ K(u,w)) \ v5,v6)) = K(x,L(y,(K(w,u) * z) * v5,v6)). [para(10588(a,1),14798(a,1,2,2,1)),flip(a)]. 14800 T(L(x * y,z,K(u,y)),x) = K(z,u) * ((K(z,u) \ y) * x). [para(13442(a,2),14632(a,1,1))]. 14802 K(x,L((y * z) * u,z,y * z)) = K(x,L(y \ 1,z,z \ 1) \ (z * u)). [hyper(58,a,7522,a(flip),b,14646,a),flip(a)]. 14803 K(x,K(y,z) * ((u * (w * K(y,z))) \ v5)) = K(x,(u * w) \ v5). [hyper(14654,a,14210,a)]. 14804 K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). [hyper(14654,a,12521,a(flip)),flip(a)]. 14805 (x * (K(y,z) * T(K(z,y) * (x \ u),w))) \ u = K(w,K(z,y) * (x \ u)). [hyper(14654,a,4940,a(flip)),flip(a)]. 14806 K(x,(K(y,z) * u) \ w) != v5 | K(x,K(z,y) * (u \ w)) = v5. [para(12521(a,2),14654(a,1))]. 14807 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(13244,a,14804,a)]. 14808 K(L(x,y,z),K(u,w) * (v5 \ v6)) = K(x,L((K(w,u) * v5) \ v6,y,z)). [hyper(9517,a,14804,a),flip(a)]. 14809 K(x,K(y,z) * ((u \ 1) \ w)) = K(x,(K(z,y) / u) \ w). [para(10496(a,1),14804(a,1,2,1)),flip(a)]. 14810 K(x,K(y,z)) * K(x,K(u,w) * (y \ z)) = K(x,z / (K(w,u) * y)). [para(14804(a,1),12632(a,1,2))]. 14811 K(x,K(y,z) * (u \ (K(w,v5) * v6))) = K(x,K(w,v5) * (u \ (v6 * K(y,z)))). [hyper(13834,a,14807,a)]. 14812 K(x,K(y,z) * ((u \ 1) \ w)) = K(x,u * (K(y,z) * w)). [hyper(10719,a,14807,a),flip(a)]. 14813 K(L(x,y,z),K(u,w) * (v5 \ v6)) = K(x,L(v5 \ (K(u,w) * v6),y,z)). [hyper(9517,a,14807,a),flip(a)]. 14814 K(x,y \ (K(z,u) * w)) = K(x,K(u,z) * (y \ w)). [hyper(280,a,11953,a,b,14807,a),flip(a)]. 14815 x * K(x,K(y,z) * (u \ w)) = T(x,u \ (K(y,z) * w)). [para(14807(a,1),2882(a,2,2)),flip(a)]. 14816 K(x,K(y,z) * (u \ (y * w))) = K(x,u \ (T(y,z) * w)). [para(4014(a,1),14807(a,1,2,2)),flip(a)]. 14817 K(x,y \ (K(z,u) \ w)) = K(x,K(u,z) * (y \ w)). [para(4271(a,2),14807(a,1,2,2))]. 14818 K(x,K(y,z) * (u \ (w * K(z,y)))) = K(x,u \ T(w,K(y,z))). [para(5356(a,1),14807(a,1,2,2)),flip(a)]. 14819 K(x,y \ (a(z,u,K(w,v5)) * v6)) = K(x,K(a(z,u,w),v5) * (y \ v6)). [para(9700(a,2),14807(a,1,2,2,1))]. 14820 K(x,K(y,z)) * K(x,K(u,w) * (y \ z)) = K(x,(K(u,w) * z) / y). [para(14807(a,1),12617(a,1,2))]. 14821 K(x,K(y,z) * (u \ (T(y,z) * w))) = K(x,u \ (y * w)). [para(4275(a,1),14814(a,1,2,2)),flip(a)]. 14822 (x \ (K(y,z) * u)) \ ((K(z,y) * x) \ u) = a(z,x,K(y,K(y,z) * (x \ u))). [para(14817(a,1),11879(a,2,3))]. 14823 K(x,(K(y,z) / u) \ w) = K(x,u * (K(z,y) * w)). [hyper(58,a,14809,a(flip),b,14812,a)]. 14824 K(x,(K(T(y,z),u) / w) \ v5) = K(x,w * (K(u,y) * v5)). [hyper(280,a,12554,a(flip),b,14823,a),flip(a)]. 14825 T(x,y \ (K(z,u) * w)) != v5 | T(x,K(z,u) * (y \ w)) = v5. [para(14815(a,1),2916(a,1))]. 14826 K(x,y \ (T(z,K(u,w)) * v5)) != v6 | K(x,y \ (z * v5)) = v6. [para(14816(a,1),12525(a,1))]. 14827 K(x,(K(y,T(z,u)) / w) \ v5) = K(x,w * (K(z,y) * v5)). [para(3638(a,1),14824(a,1,2,1,1))]. 14828 K(x,(y \ K(z,u)) \ w) = K(x,y * (K(u,z) * w)). [para(3642(a,1),14827(a,1,2,1))]. 14829 K(x,(K(y,z) * u) * w) = K(x,u * (K(y,z) * w)). [hyper(10810,a,14828,a)]. 14830 K(x,y * (K(z,u) * (w * K(z,u)))) = K(x,y * w). [hyper(58,a,14177,a(flip),b,14829,a),flip(a)]. 14831 K(x,y * (K(z,u) * (w * T(z,u)))) = K(x,y * (w * z)). [para(3372(a,1),14830(a,1,2,2,2))]. 14832 K(x,(T(y,z) \ u) * (w * T(y,z))) = K(x,(y \ u) * (w * y)). [hyper(58,a,13792,a(flip),b,14831,a)]. 14833 K(x,y \ (z * (u * (z \ y)))) = K(x,L(T(u,z * y),y,z)). [hyper(280,a,12142,a(flip),b,14711,a),flip(a)]. 14834 K(L(x,y,z) \ x,L(u,w,v5)) = a((v5 * ((v5 \ w) / u)) \ w,z,K(x,y)). [hyper(58,a,14794,a(flip),b,14716,a),flip(a)]. 14835 K(x,y * (z \ K(u,L(w,v5,v6)))) = K(x,y / (K(w,u) * z)). [hyper(58,a,10652,a(flip),b,14763,a)]. 14836 L(T(x * y,x),z,K(u,y)) = K(z,u) * ((K(z,u) \ y) * x). [hyper(58,a,20,a,b,14800,a)]. 14837 T(x,(K(y,z) * u) \ w) != v5 | T(x,K(z,y) * (u \ w)) = v5. [para(13188(a,2),14825(a,1))]. 14838 (K(x,T(y,z \ u)) * (z \ u)) * T(z,z \ u) = K(x,L(T(y,z * u),u,z)) * (z * (z \ u)). [para(14833(a,1),11194(a,1,1)),flip(a)]. 14839 K(x,y * (z \ K(u,L(w,v5,v6)))) = K(x,y * (z \ K(u,w))). [hyper(280,a,10652,a(flip),b,14835,a),flip(a)]. 14840 L(x * y,z,K(u,x)) = K(z,u) * ((K(z,u) \ x) * y). [para(897(a,1),14836(a,1,1))]. 14841 L(x * y,z,K(u,x)) = K(z,u) * ((K(u,z) * x) * y). [para(4271(a,1),14840(a,2,2,1))]. 14842 K(x,y) * L(z * u,y,K(x,z)) = (K(x,y) * z) * u. [hyper(4283,a,14841,a(flip))]. 14843 L(K(x,y) * (z * u),y,K(x,z)) = (K(x,y) * z) * u. [hyper(13574,a,14842,a)]. 14844 L((K(x,y) * z) * u,x,K(y,z)) = K(x,y) * (z * u). [hyper(14537,a,14843,a)]. 14845 K(x,y) * (z * ((K(x,y) * z) \ u)) = L(u,x,K(y,z)). [para(5(a,1),14844(a,1,1)),flip(a)]. 14846 K(x,y) * (z * ((K(x,y) * z) \ u)) = u * a(y,u,K(x,z)). [hyper(280,a,14501,a,b,14845,a),flip(a)]. 14847 (x * ((K(y,z) * x) \ u)) * K(y,z) = T(L(u,y,K(z,x)),K(y,z)). [para(14845(a,1),897(a,1,1)),flip(a)]. 14848 K(x,y) * ((z * ((K(x,y) * z) \ u)) / K(x,y)) = L(u,x,K(y,z)) / K(x,y). [para(14845(a,1),947(a,1,1)),flip(a)]. 14849 K(x,a(y,z,u)) * (w * ((K(x,a(y,z,u)) * w) \ v5)) = L(v5,x,a(y,z,K(u,w))). [para(9700(a,2),14845(a,2,3))]. 14850 T(x,K(y,z) * (u \ (w \ x))) = (K(v5,K(v6,v7)) * ((w * (K(z,y) * u)) * x)) / (K(v5,K(v6,v7)) * (w * (K(z,y) * u))). [hyper(14837,a,13667,a)]. 14851 T(x,K(T(y,z),u) * (w \ (z \ 1))) = T(x,(w \ K(y,u)) / z). [hyper(14837,a,12543,a)]. 14852 T(x * K(K(y,z) * u,w),K(z,y) * (u \ x)) = T(K(y,z) * u,w) * (x / (K(y,z) * u)). [hyper(14837,a,6285,a)]. 14853 T(x,(y * K(z,u)) \ w) != v5 | T(x,K(u,z) * (y \ w)) = v5. [para(12530(a,1),14837(a,1))]. 14854 K(x,y * ((z \ 1) * (u \ K(w,v5)))) = K(x,y * ((u * z) \ K(w,v5))). [para(11291(a,1),14839(a,1,2,2))]. 14855 K(x,L(y,z,u)) * u = z * ((K(y,x) * z) \ u). [hyper(29,a,14444,a,b,14846,a)]. 14857 K(x,L(y,z,(z * (T(K(y,x),z) * u)) / u)) * ((z * (T(K(y,x),z) * u)) / u) = z * (((K(y,x) * z) * u) \ (z * (T(K(y,x),z) * u))). [para(2611(a,2),14855(a,2,2))]. 14858 x * ((K(y,z) * x) \ a(u,w,K(v5,v6))) = K(z,y) * a(u,w,K(v5,v6)). [para(13199(a,1),14855(a,1,1)),flip(a)]. 14859 T(x * K(K(y,z) * u,w),K(z,y) * (u \ x)) = T(u * K(y,z),w) * (x / (u * K(y,z))). [hyper(14853,a,12294,a)]. 14860 T(x,K(y,z) * (u \ (w \ 1))) = T(x,(K(y,z) / u) / w). [hyper(14853,a,10644,a)]. 14861 T(x * a(y,z,K(u,w)),K(u,y)) = K(u,y) * (x * K(y,L(u,w,z))). [para(14434(a,1),14474(a,1,1,2))]. 14862 a(x,y,K(z,L(u * L(T(y,w),v5,v6),v7,v8))) * K(u,y) = K(u * L(T(y,w),v5,v6),L(y,x,L(z,v7,v8))). [para(8583(a,1),14518(a,1,2))]. 14863 T(x,L(y,K(z,u) * w,v5)) = T(x,L(y,w * K(u,z),v5)). [hyper(58,a,14531,a(flip),b,14584,a),flip(a)]. 14864 T((x \ y) * K(x,L(y,z,u)),x) = T(x,a(y,u,z)) \ y. [hyper(280,a,13306,a(flip),b,14599,a),flip(a)]. 14865 T((x \ y) * K(x,L(y,z,u)),y) = T(x,a(y,u,z)) \ y. [hyper(58,a,14060,a,b,14864,a)]. 14866 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = (y / x) * T((x \ y) \ (T(x,a(y,u,z)) \ y),w). [para(14865(a,1),13588(a,1,2,1,2)),flip(a)]. 14867 K(x,L(y,L(z,u,L(u,w,v5)),v6)) != v7 | K(x,L(y,z,v6)) = v7. [para(14604(a,2),14440(a,1))]. 14868 K(x,y) * a(x,z,K(y,u \ w)) = K(x,L(y,w * (u \ y),z)). [para(13384(a,1),14605(a,1,2))]. 14869 K(x,L(y,z * (u * x),w)) = K(x,L(y,z * u,w)). [hyper(14456,a,14611,a),flip(a)]. 14870 K(L(x,y,z),L(u,w * (K(x,v5) * (x \ L(x,y,z))),v6)) = K(L(x,y,z),L(u,w * (x \ K(x,v5)),v6)). [para(4158(a,1),14869(a,1,2,2,2))]. 14871 K(x,L(y,z,u \ (z * w))) = K(x,L(y,z,u \ w)). [hyper(280,a,14498,a(flip),b,14621,a),flip(a)]. 14872 K(x,L(y,a(z,u,w),v5)) = K(x,L(y,z,a(v5,u,w))). [hyper(58,a,14624,a(flip),b,14625,a)]. 14873 a(a(x,y,(x * y) \ z) \ 1,u,K(w,L(v5,x,a(z,y,(x * y) \ z)))) * K(v5,w) = K(v5,L(w,u,z \ (x * (y * ((x * y) \ z))))). [para(14872(a,1),11236(a,1,1,3))]. 14874 a(x,y,K(z,u \ w)) * K(x,y) = K(x,L(y,u * (w \ 1),z)). [para(13384(a,1),14626(a,1,1))]. 14875 K(x,L(y,z,(u / w) \ K(w,v5))) = K(x,L(y,u / T(w,v5),z)). [hyper(13329,a,14643,a)]. 14876 T(x,K(y,z)) * (K(u,w) * K(z,y)) = K(z,y) * (x * K(u,w)). [hyper(280,a,13197,a(flip),b,14674,a),flip(a)]. 14877 K(x,L(y,L(z,u,w),v5)) = K(x,L(y,z,L(v5,u,w))). [hyper(14440,a,14759,a)]. 14878 K(L(x / y,z,u) \ (x / y),L(w,x / y,L(y,z,u))) = K(w,(y * L(y \ x,z,u)) / x). [hyper(11616,a,14877,a),flip(a)]. 14879 K(L(x,y,z),L(u,w,L(v5,v6,v7))) = K(x,L(L(u,L(w,v6,v7),v5),y,z)). [hyper(9517,a,14877,a),flip(a)]. 14880 K(x,(y * z) \ (y * (L(z,u,K(w,v5)) * v6))) = K(x,L(v6,z,L(y,u,K(w,v5)))). [hyper(58,a,14208,a,b,14877,a)]. 14881 K(x,L(y,z,L(L(u \ 1,u,w),v5,v6))) = K(x,L(y,u,L(z,v5,v6))). [hyper(58,a,14637,a(flip),b,14877,a),flip(a)]. 14882 K(L(x,y,z) \ ((x * u) \ L(x,y,z)),L(T(w,v5 * L(x,y,z)),x,L(v5,y,z))) = K(w,(v5 * (x * (u * L(x,y,z)))) / (v5 * L(x,y,z))). [hyper(58,a,9603,a(flip),b,14877,a),flip(a)]. 14883 K(x,L(y,T(z \ 1,u),L(w,z,u))) = K(x,L(y,u \ (z \ u),w)). [para(1064(a,1),14877(a,1,2,2)),flip(a)]. 14884 K(x,L(y,z \ L(z,u,w),L(v5,v6,z))) = K(x,L(y,z \ L(z,u,w),v5)). [para(7659(a,1),14877(a,1,2,2)),flip(a)]. 14885 K(x,L(T(T(y,z),u * L(z,w,v5)),z,L(u,w,v5))) != v6 | K(x,(u * L(z,w,v5)) / (u * (y \ L(z,w,v5)))) = v6. [para(14877(a,1),14199(a,1))]. 14886 K(x,L(y,z,L(u,w,L(w,v5,v6)))) != v7 | K(x,L(y,z,u)) = v7. [para(14877(a,1),14867(a,1))]. 14887 a(x,y,K(z,(K(u,w) * v5) \ T(v6,K(w,u)))) * K(z,v5 \ (v6 * K(w,u))) = K(z,L(v5 \ (v6 * K(w,u)),x,L(y,v5,K(u,w)))). [para(4468(a,1),14760(a,1,1,3,2))]. 14888 K(x,L(L(y,z,u) \ y,w,L(v5,y,y \ L(y,v6,v7)))) = a(w,v5,K(x,L(y,z,u) \ y)) * K(x,L(y,z,u) \ y). [para(11549(a,1),14760(a,1,1,3,2)),flip(a)]. 14889 K(x,y) * a(y,z \ u,a(w,v5,K(v5 \ z,x))) = K(x,L(y,w,a(u / z,v5,v5 \ z))). [para(11730(a,2),14776(a,2,2,3))]. 14890 K(x * (y * K(z,u)),w) = K(w,(x * y) \ K(u,z)). [hyper(58,a,12317,a(flip),b,14803,a)]. 14891 K(x,(y * (z * K(u,w))) \ v5) = K(x,K(w,u) * ((y * z) \ v5)). [para(4324(a,1),14803(a,1,2,2,1,2)),flip(a)]. 14892 K(x * (K(y,z) * K(u,w)),v5) = K(v5,K(z,y) * (x \ K(w,u))). [hyper(14654,a,14890,a(flip)),flip(a)]. 14893 K(x,K(y,z) * (u \ (w * K(z,y)))) = K(x,u \ w). [hyper(280,a,12517,a(flip),b,14818,a),flip(a)]. 14896 T(x,K(y,z) * (u \ (w \ 1))) = T(x,(u \ K(z,y)) / w). [hyper(12731,a,14851,a)]. 14898 T(x,(K(y,z) / u) / w) = T(x,(u \ K(z,y)) / w). [hyper(58,a,14860,a(flip),b,14896,a)]. 14899 T(x,(K(y,z) \ (K(y,z) / u)) * (w \ K(y,z))) = T(x,(u \ K(y,z)) / w). [hyper(58,a,12507,a,b,14898,a)]. 14900 T(x,K(y,L(z,u,w)) \ ((u * w) \ 1)) = T(x,(T(u,w) \ K(y,z)) / w). [hyper(58,a,11466,a,b,14898,a)]. 14901 K(x,L(y,z * (u \ y),w)) = K(x,L(y,u \ z,w)). [hyper(14440,a,14868,a),flip(a)]. 14902 K(x,L(y,(z * (y * K(u,w))) \ y,v5)) = K(x,L(y,z \ K(w,u),v5)). [hyper(58,a,14196,a,b,14901,a)]. 14903 K(x,L(y,z * (u \ 1),w)) = K(x,L(y,w,z \ u)). [hyper(14499,a,14874,a),flip(a)]. 14904 K(x,L(y,z * (u \ 1),w)) != v5 | K(x,L(y,w,z \ u)) = v5. [para(14874(a,1),14499(a,1))]. 14905 K(x,L(y,z,u \ (w \ 1))) = K(x,L(y,u * w,z)). [para(378(a,1),14903(a,1,2,2,2)),flip(a)]. 14906 K(x,L(L(y,z,u \ (w \ 1)),v5,v6)) = K(x,L(L(y,v5,v6),u * w,z)). [hyper(11185,a,14905,a)]. 14907 K(x,L(y,z,(u / w) \ K(w,v5))) != v6 | K(x,L(y,T(w,v5) \ u,z)) = v6. [para(14875(a,2),14726(a,1))]. 14908 T(((K(x,y) / K(y,x)) \ 1) * z,K(y,x)) = K(y,x) * (z * K(y,x)). [hyper(58,a,11392,a,b,14876,a)]. 14910 K(x,(y * (K(z,u) * w)) \ v5) = K(x,K(u,z) * ((y * w) \ v5)). [hyper(58,a,13816,a,b,14891,a)]. 14911 K(x * (K(y,L(z,u,w)) * K(v5,v6)),v7) = K(v7,K(z,L(y,u,w)) * (x \ K(v6,v5))). [para(9511(a,1),14892(a,1,1,2,1))]. 14912 K(x,K(y,z * u)) * K(x,K(w,v5) * ((z * u) \ y)) = K(x,y / (z * (K(v5,w) * u))). [para(14910(a,1),12653(a,1,2))]. 14913 K(x,L(y,z,(u \ 1) * w)) = K(x,L(y,w \ u,z)). [hyper(14692,a,14798,a)]. 14914 K(x / (y / ((z \ 1) * u)),L(w,u \ z,y)) = K(w,y / (x * ((z \ 1) * u))). [hyper(14713,a,14913,a),flip(a)]. 14915 (K(x,y) / z) * (z * K(u,w)) = K(x,y) * K(u,w). [para(13180(a,1),14701(a,1,1)),flip(a)]. 14917 K(x,(y * (z * (u / z))) \ w) = K(x,(y * T(u,z)) \ w). [hyper(14712,a,14718,a),flip(a)]. 14918 K(x,y / (z * (u * (w / u)))) = K(y,K(x,z * w)) * K(x,(z * T(w,u)) \ y). [para(14917(a,1),12853(a,1,2)),flip(a)]. 14919 K(x,L(y,z,u)) * K(y,L(x,w,v5)) != v6 | a(x,u,K(y,z)) * a(y,v5,K(x,w)) = v6. [para(14741(a,1),14772(a,1))]. 14920 (x * ((K(y,z) * x) \ u)) * K(y,z) = L(T(u,K(y,z)),y,K(z,x)). [hyper(280,a,20,a,b,14847,a),flip(a)]. 14921 K(x,L(y,z \ (u \ z),w)) = K(x,L(y,u \ 1,L(w,u,z))). [hyper(14725,a,14883,a),flip(a)]. 14923 K(x,L(y,L(z,u,w),u)) = K(x,L(y,w \ (u \ w),z)). [hyper(280,a,14639,a(flip),b,14921,a)]. 14924 K(x,L(y,z \ (u \ z),w)) = K(x,L(y,w,L(u,u,z))). [hyper(58,a,14877,a(flip),b,14923,a),flip(a)]. 14925 K(x,L(y,z \ (u \ z),w)) = K(x,L(y,w,u)). [hyper(280,a,10959,a(flip),b,14924,a),flip(a)]. 14926 K(x,L(y,z \ x,u)) = K(x,L(y,u,z)). [hyper(9539,a,14925,a)]. 14928 K(x,L(y,z \ (u * (w * ((u * w) \ z))),v5)) = K(x,L(y,v5,a(u,w,(u * w) \ z))). [para(11637(a,1),14925(a,1,2,2))]. 14929 K(x,L(y,x \ ((x / z) * u),w)) = K(x,L(y,w,(x / u) * z)). [para(693(a,1),14926(a,1,2,2))]. 14930 K(x,L(y,(x / z) * u,w)) = K(x,L(y,w,(x / u) * z)). [hyper(9539,a,14929,a)]. 14931 K(x,L(y,(x / z) * u,w)) != v5 | K(x,L(y,w,u \ z)) = v5. [para(14930(a,2),11332(a,1))]. 14932 L(T(x,K(y * y,z)),y * y,K(z,u)) = (u * ((u * K(y,z * z)) \ x)) * K(y * y,z). [para(11063(a,1),14920(a,1,1,2,1)),flip(a)]. 14933 a(x,((y \ 1) * z) \ u,K(w,v5)) = a(w,v5,K(x,u * ((z \ 1) * y))). [hyper(58,a,14575,a(flip),b,14452,a)]. 14934 ((a(x,y,K(z,u)) / (K(w,v5) * a(x,y,K(z,u)))) * v6) \ a(x,y,K(z,u)) = (a(x,y,K(z,u)) / v6) * K(w,v5). [hyper(29,a,181,a,b,14476,a)]. 14935 x * ((x * (K(y,z) * a(u,w,K(v5,v6)))) \ x) = K(z,T(y,x)) * (a(u,w,K(v5,v6)) \ x). [para(14476(a,1),5546(a,1,2,1))]. 14936 a(x,y,K(z,u)) * (w * K(u,z)) = w * K(u,L(z,y,x)). [para(9389(a,1),14476(a,2,2))]. 14937 K(x,T(y,a(z,u,K(w,v5)) * v6)) * (v6 * a(z,u,K(w,v5))) = v6 * (K(x,y) * a(z,u,K(w,v5))). [hyper(58,a,12300,a,b,14566,a)]. 14938 (x * a(y,z,K(u,w))) * K(z,w) = x * K(z,L(w,u,y)). [para(14494(a,1),14566(a,2,2))]. 14939 L(T(T(x,y),L(y,z,u)),u,K(y,z)) = T(x,L(y,z,u) * L(y,z,u)). [para(18(a,1),14581(a,1,1))]. 14940 T(K(x,y) * K(y,L(T(x,z),u,w)),K(x,y)) = K(y,x) * K(x,L(T(y,z),w,u)). [para(14598(a,1),13986(a,1,1))]. 14941 K(x,y) * T(x \ a(x,z,K(y,u)),w) = T(x,w) \ K(x,L(y,u,z)). [para(14022(a,2),14602(a,1,2))]. 14942 K(x,L(y,z * u,L(z,w,v5))) = K(x,L(y,u,L(z,w,v5))). [hyper(280,a,14498,a(flip),b,14622,a),flip(a)]. 14943 K(x,L(y,z * u,L(z,w,v5))) != v6 | K(x,L(y,u,L(z,w,v5))) = v6. [para(14622(a,2),14499(a,1))]. 14944 K(x,L(y,z \ u,L(z,w,v5))) = K(x,L(y,u,L(z,w,v5))). [para(5(a,1),14942(a,1,2,2)),flip(a)]. 14945 K(x,L(y,z,L(u,w,v5 / w))) = K(x,L(y,z,L(u,w,v5))). [hyper(280,a,10925,a(flip),b,14700,a),flip(a)]. 14947 K(x,L(y,z,L(u,w,w \ v5))) = K(x,L(y,z,L(u,w,v5))). [para(6672(a,1),14945(a,1,2,3))]. 14948 K(x,y) * a(K(x,y),T(z,x),u) != w | K(x,L(y,z,u)) = w. [para(9958(a,1),14727(a,1))]. 14949 L(x,y,z) \ (u * T(u \ L(x,y,z),x * x)) = K(x,u) * K(x,u). [para(11022(a,1),14764(a,1,2,2))]. 14950 K(x,L(y,z,u)) * T(K(y,L(x,z,u)) * w,v5) = K(x,y) * T(K(y,x) * w,v5). [para(14761(a,1),14770(a,1,2,1)),flip(a)]. 14951 K(x,L((K(y,z) * u) \ w,v5,v6)) = K(x,L(K(z,y) * (u \ w),v5,v6)). [hyper(9517,a,14808,a),flip(a)]. 14952 K(x,K(y,z)) * K(x,K(u,w) * (z \ y)) = K(x,y / (K(w,u) * z)). [para(5298(a,1),14810(a,1,1))]. 14953 K(x,L(y \ (K(z,u) * w),v5,v6)) != v7 | K(x,L(K(z,u) * (y \ w),v5,v6)) = v7. [para(14813(a,1),9517(a,1))]. 14954 K(x,y \ (a(z,u,K(w,v5)) * v6)) = K(x,a(z,u,K(w,v5)) * (y \ v6)). [para(9700(a,2),14819(a,2,2,1))]. 14955 K(x,(K(y,z) * u) / w) = K(x,u / (K(z,y) * w)). [hyper(58,a,14810,a(flip),b,14820,a),flip(a)]. 14956 K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(280,a,10652,a(flip),b,14955,a),flip(a)]. 14957 K(x,(y \ z) * (u \ K(w,y))) = K(x,(T(y,w) \ z) / u). [para(4276(a,1),14956(a,1,2,1)),flip(a)]. 14958 x * T(y * a(x,z,K(u,w)),K(u,x)) = T(x,L(u,w,z)) * (y * K(u,x)). [para(14861(a,2),13751(a,1,2))]. 14959 T(x,y) / T(K(x,y) * a(x,z,K(u,w)),K(u,x)) = T(T(x,u),L(u,w,z) \ x). [para(14861(a,2),14371(a,1,2))]. 14960 K(x,L(L(y,L(z,u,w),v5),v6,v7)) != v8 | K(x,L(L(y,z,L(v5,u,w)),v6,v7)) = v8. [para(14879(a,1),9517(a,1))]. 14961 K(x,L(y,z,u * (y * K(w,v5)))) = K(x,L(y,u \ K(v5,w),z)). [hyper(14690,a,14902,a)]. 14962 T(((K(x,y) * K(x,y)) \ 1) * z,K(y,x)) = K(y,x) * (z * K(y,x)). [para(4323(a,1),14908(a,1,1,1,1))]. 14963 a(x,((y \ 1) * z) \ u,K(w,v5)) * K(x,u * ((z \ 1) * y)) = K(x,L(u * ((z \ 1) * y),w,v5)). [para(14933(a,2),14483(a,1,1))]. 14964 T(T(x,y),L(L(y,z,u),z,u)) = T(x,L(y,z,u) * L(y,z,u)). [hyper(58,a,14530,a(flip),b,14939,a)]. 14965 K(x * x,L(x,y,z) \ u) = K(x,u) * K(x,u). [hyper(3830,a,14949,a)]. 14966 K(x * x,L(x,y,z) \ u) = K(x * x,u). [hyper(280,a,11420,a(flip),b,14965,a),flip(a)]. 14967 K(x * x,x \ y) = K(x * x,y). [hyper(13645,a,14966,a)]. 14968 K((x \ 1) * (x \ 1),L(y,x,x \ 1)) = K((x \ 1) * (x \ 1),x * y). [para(677(a,1),14967(a,1,2)),flip(a)]. 14969 K(x,L(K(y,z) * (u \ w),K(z,y) * u,(K(z,y) * u) \ 1)) = K(x,((K(z,y) * u) \ 1) * w). [para(680(a,1),14951(a,1,2)),flip(a)]. 14970 K(x,K(y,z)) * K(x,K(u,w) * (z \ y)) = K(x,y * (z \ K(u,w))). [hyper(280,a,10652,a(flip),b,14952,a),flip(a)]. 14971 K(x,y \ (a(z,u,K(w,v5)) * v6)) = K(x,y \ v6). [hyper(280,a,13626,a(flip),b,14954,a),flip(a)]. 14973 K(x,(a(y,z,K(u,w)) * v5) / v6) = K(x,K(v6,v5)) * K(x,v6 \ v5). [para(14971(a,1),13629(a,1,2)),flip(a)]. 14974 K(x,(a(y,z,K(u,w)) * v5) / v6) = K(x,v5 / v6). [hyper(280,a,5903,a(flip),b,14973,a),flip(a)]. 14976 K(x,(y * L(z,u,K(w,v5))) / v6) = K(x,(y * z) / v6). [para(13400(a,1),14974(a,1,2,1))]. 14977 T((K(x * x,y) \ 1) * z,K(y,x)) = K(y,x) * (z * K(y,x)). [para(11420(a,1),14962(a,1,1,1,1))]. 14978 T(K(x,y * y) * z,K(x,y)) = K(x,y) * (z * K(x,y)). [para(3418(a,1),14977(a,1,1,1))]. 14979 K(x,y * y) * (z * K(y,x)) = z * K(x,y). [hyper(13822,a,14978,a),flip(a)]. 14980 (K(x,y * y) * z) * K(y,x) = z * K(x,y). [hyper(5576,a,14978,a)]. 14981 (x * (K(y,z) * u)) * K(y,T(z,u)) = (x * (u * K(y,z))) / K(z,y). [para(14980(a,1),12823(a,1,1,2)),flip(a)]. 14982 (x * (K(y,z) * u)) * K(y,T(z,u)) != w | (x * (u * K(y,z))) * K(y,z) = w. [para(14981(a,2),4331(a,1))]. 14983 L(x / (K(y,z) * u),z,K(y,u)) * (K(z,y) * u) = K(z,y) * (u * ((K(y,z) * u) \ x)). [para(11944(a,1),14533(a,1,2,2)),flip(a)]. 14984 K(x \ (y \ 1),L(T(z,u \ (y \ 1)),y,u)) = K(z,((u \ 1) * x) / ((u \ 1) * (y \ 1))). [hyper(58,a,14636,a(flip),b,14638,a)]. 14985 x / K(y,L(T(z,u),u,x)) = (x / (K(y,z) * T(u,w))) * T(u,w). [para(14676(a,1),14702(a,1,2))]. 14986 (x / (K(y,z) * T(u,w))) * T(u,w) = x * K(L(T(z,u),u,x),y). [hyper(4331,a,14985,a),flip(a)]. 14988 (x / (K(y,z) * T(u,w))) * T(u,w) = x * K(T(z,u),L(y,u,x)). [para(9511(a,1),14986(a,2,2))]. 14989 (x / (K(y,z) * T(u,w))) * T(u,w) = x * K(z,T(L(y,u,x),u)). [hyper(280,a,3667,a(flip),b,14988,a),flip(a)]. 14990 (x / (K(y,z) * T(u,w))) * T(u,w) = x * K(z,L(T(y,u),u,x)). [para(20(a,2),14989(a,2,2,2))]. 14991 (x / (K(y,z) * T(u,w))) * T(u,w) = (x / u) * (K(z,y) * u). [hyper(280,a,14699,a(flip),b,14990,a),flip(a)]. 14992 ((x / y) * (K(z,u) * y)) / T(y,w) = x / (K(u,z) * T(y,w)). [hyper(112,a,14699,a(flip),b,14990,a)]. 14993 (x / T(y,z)) * (K(u,w) * T(y,z)) = (x / y) * (K(u,w) * y). [hyper(58,a,9468,a(flip),b,14991,a)]. 14994 ((x / T(y,z)) * K(u,w)) \ (((x / T(y,z)) * (K(u,w) * T(y,z))) / T(y,z)) = (((x / T(y,z)) * K(u,w)) * T(y,z)) \ ((x / y) * (K(u,w) * y)). [para(14993(a,1),2420(a,1,2)),flip(a)]. 14995 K(x,y / (((y / z) / u) * z)) = K(x,L(T(u,y / z),y,z)). [hyper(9595,a,14715,a),flip(a)]. 14996 K(x,y / (((y / z) / u) * z)) = K(x,L(T(u,z * y),y,z)). [hyper(280,a,12408,a(flip),b,14995,a),flip(a)]. 14997 K(x,L(y,a(z,u,w),v5)) != v6 | K(x,L(y,z,a(v5,u,w))) = v6. [para(14624(a,1),14732(a,1))]. 14998 K(L(x,y,z) \ x,L(u,w,v5)) = a(x,z,K(y,L(u,w,v5))). [hyper(280,a,14717,a(flip),b,14834,a),flip(a)]. 14999 T(x,K(L(y,z,u),w) * ((z * u) \ 1)) = T(x,(T(z,u) \ K(w,y)) / u). [para(4271(a,1),14900(a,1,2))]. 15000 K(x \ (x \ 1),L(y,x,x \ 1)) = K((x \ 1) * (x \ 1),x * y). [hyper(10563,a,14968,a)]. 15001 K((x \ 1) * (x \ 1),x * y) = K(x \ (x \ 1),y). [hyper(10833,a,15000,a),flip(a)]. 15003 K((x \ 1) * (x \ 1),x * y) = K(y,x * x). [hyper(280,a,10622,a(flip),b,15001,a),flip(a)]. 15004 K((x * x) \ 1,x * y) = K(y,x * x). [hyper(58,a,2478,a(flip),b,15003,a)]. 15005 K(x * y,x * x) = K(y,x * x). [hyper(3577,a,15004,a)]. 15006 K(x,L(y,z * u,z * z)) = a(x,y,K(u,z * z)) * K(x,y). [para(15005(a,1),14498(a,1,1,3)),flip(a)]. 15007 K(x,L(y,z * u,z * z)) = K(x,L(y,u,z * z)). [hyper(280,a,14498,a(flip),b,15006,a),flip(a)]. 15008 T(x,K(y,L(z,u,w)) * ((u * w) \ 1)) = T(x,(T(u,w) \ K(z,y)) / w). [para(9511(a,1),14999(a,1,2,1))]. 15009 T(x,(y * z) \ K(u,L(w,y,z))) = T(x,(T(y,z) \ K(w,u)) / z). [hyper(12288,a,15008,a)]. 15010 T(x,(T(y,z) \ K(u,w)) / z) = T(x,(y * z) \ K(u,w)). [hyper(58,a,13777,a(flip),b,15009,a),flip(a)]. 15012 K(x,L(y,z,L(T(z,u) \ w,v5,v6))) = K(x,L(y,z,L(w,v5,v6))). [hyper(280,a,14498,a(flip),b,14623,a),flip(a)]. 15013 K(x,L(y,z,L(z \ u,w,v5))) = K(x,L(y,z,L(u,w,v5))). [para(100(a,1),15012(a,1,2,3,1,1))]. 15014 K(x,L(y,z,L(z * u,w,v5))) = K(x,L(y,z,L(u,w,v5))). [para(4(a,1),15013(a,1,2,3,1)),flip(a)]. 15015 L(x,y,y \ 1) * K(z,L(u,y,x)) = (y \ 1) * ((y * x) * K(z,u)). [para(14703(a,1),14641(a,1,2))]. 15016 (x \ 1) * ((x * y) * K(z,L(u,y,x))) = L(y,x,x \ 1) * K(z,u). [para(14628(a,1),15015(a,1,2)),flip(a)]. 15017 (x \ 1) * (x * (y * K(z,u))) = L(y,x,x \ 1) * K(z,u). [para(9396(a,1),15016(a,1,2))]. 15018 L(x * K(y,z),u,u \ 1) = L(x,u,u \ 1) * K(y,z). [hyper(685,a,15017,a)]. 15019 K(x,L(y,(z \ K(u,w)) \ v5,v6)) = K(x,L(y,v5 * (K(w,u) * z),v6)). [hyper(58,a,14608,a(flip),b,14644,a)]. 15020 (x * (K(y,z) * (K(u,w) * v5))) / v5 = v5 / (K(z,y) * (K(w,u) * (x \ v5))). [para(14551(a,1),14684(a,1,1,2))]. 15021 K(x,L((y * z) * u,z,y)) = K(x,L(y \ 1,z,z \ 1) \ (z * u)). [hyper(58,a,14703,a(flip),b,14802,a)]. 15022 K(x,L((y * z) * u,z,y)) = K(x,(z * ((y * z) \ 1)) \ (z * u)). [para(7043(a,1),15021(a,2,2,1))]. 15023 K(x,L((y * z) * u,z,y)) = K(x,((y * z) * (z \ 1)) * (z * u)). [hyper(280,a,10618,a(flip),b,15022,a),flip(a)]. 15024 K(x,L((y * z) * u,z,y)) = K(x,L(y,z,z \ 1) * (z * u)). [para(3949(a,1),15023(a,2,2,1))]. 15025 K(x,L(y \ 1,y * z,(y * z) \ 1) * ((y * z) * u)) = K(x,L(L(z,y,y \ 1) * u,y * z,y \ 1)). [para(671(a,1),15024(a,1,2,1,1)),flip(a)]. 15026 K(x,L((y * z) * u,y,T(z,y \ 1))) = K(x,L(T(z,y \ 1),y,y \ 1) * (y * u)). [para(3512(a,1),15024(a,1,2,1,1))]. 15027 K(x,L(y * (z \ 1),z,y * ((z \ 1) / y)) * (z * u)) = K(x,L(((y * (z \ 1)) * z) * u,z,y * (z \ 1))). [para(6455(a,2),15024(a,2,2,1)),flip(a)]. 15028 K(x,L(T(y \ L(y,z,u),w \ 1) * v5,L(y,z,u),y \ K(w,y \ L(y,z,u)))) = K(x,L(y \ K(w,y \ L(y,z,u)),L(y,z,u),L(y,z,u) \ 1) * (L(y,z,u) * v5)). [para(7425(a,1),15024(a,1,2,1,1))]. 15029 K(x,L(y,z,z \ 1) * (z * (u \ 1))) != w | K(x,L((y * z) / u,z,y)) = w. [para(15024(a,1),10928(a,1))]. 15030 (x * (K(y,T(z,u)) * T(K(z,T(y,u)) * (x \ w),v5))) \ w = K(v5,K(z,T(y,u)) * (x \ w)). [para(3638(a,1),14805(a,1,1,2,1))]. 15031 K(x,K(y,z) * (u \ (K(w,L(v5,v6,v7)) * v8))) = K(x,K(w,v5) * (u \ (v8 * K(y,z)))). [hyper(280,a,13766,a(flip),b,14811,a),flip(a)]. 15032 T(x,(K(y,z) * (K(z,y) / u)) * (w \ K(z,y))) = T(x,(u \ K(z,y)) / w). [para(4271(a,1),14899(a,1,2,1))]. 15033 x * T(y * a(x,z,K(u,w)),K(x,u)) = T(x,L(u,w,z)) * (y * K(u,x)). [para(5355(a,1),14958(a,1,2))]. 15034 L((x / (K(y,z) * (K(u,w) * (v5 \ x)))) * K(u,w),K(w,u),x) = (K(w,u) * x) / (K(y,z) * (v5 \ (K(w,u) * x))). [para(15020(a,1),11193(a,1,1,1))]. 15035 T(x,(y \ 1) * (z \ K(u,w))) = T(x,(y \ K(u,w)) / z). [para(10498(a,1),15032(a,1,2,1))]. 15037 T(x,(y \ K(z,u)) / w) != v5 | T(x,y \ (w \ K(z,u))) = v5. [para(15035(a,1),10812(a,1))]. 15038 T(x,T(y,z) \ (z \ K(u,w))) = T(x,(y * z) \ K(u,w)). [hyper(15037,a,15010,a)]. 15039 T(K(x,y \ K(z,u)) * w,y \ (x \ K(z,u))) = T(x * w,y \ K(z,u)) / x. [hyper(15037,a,7287,a)]. 15040 T(x,K(y,z) * (u \ (w \ 1))) = T(x,u \ (w \ K(z,y))). [hyper(15037,a,14896,a(flip)),flip(a)]. 15041 T(x,T((y * (z * K(u,w))) \ x,K(u,w))) = T(x,(y * z) \ K(w,u)). [hyper(58,a,13937,a,b,15038,a)]. 15042 T(x,y \ (z \ K(u * u,w))) = T(x,y \ (z \ 1)). [hyper(58,a,12432,a(flip),b,15040,a),flip(a)]. 15043 T(x,(y * (z * K(u,w))) \ x) = T(x,(y * z) \ K(w,u)). [hyper(12219,a,15041,a)]. 15044 T(x,(y * K(z,u)) \ (w \ x)) = T(x,(w * y) \ K(u,z)). [hyper(11304,a,15043,a)]. 15046 T(x,K(y,z) * (u \ (w \ x))) = T(x,(w * u) \ K(y,z)). [hyper(14853,a,15044,a)]. 15047 T(x * a(y,z,K(u,w)),K(y,u)) = K(y,L(u,w,z)) * (x * K(u,y)). [hyper(29,a,4019,a,b,15033,a),flip(a)]. 15049 ((x * y) * R(K(z,u * u),x,y)) \ ((x * y) * K(z,u * u)) = a(z,y,K(x,u * u)). [hyper(58,a,12097,a,b,14579,a)]. 15050 K(x,L(y,z,((1 / u) * (u * w)) / w)) = K(x,L(y,a(u \ 1,u,w),z)). [para(7474(a,1),14650(a,2,2,2))]. 15051 K(x,L(y,z,((1 / u) * (u * w)) / w)) = K(x,L(y,u \ 1,a(z,u,w))). [hyper(280,a,14872,a(flip),b,15050,a),flip(a)]. 15052 K(x,L(y,z,((1 / u) * (u * w)) / w)) = K(x,L(y,a(z,u,w),u)). [hyper(280,a,14639,a(flip),b,15051,a),flip(a)]. 15053 K(x,L(y,z,((1 / u) * (u * w)) / w)) = K(x,L(y,z,a(u,u,w))). [hyper(280,a,14872,a(flip),b,15052,a),flip(a)]. 15054 K(x,L(y,z,L(u,w,w \ 1) / u)) = K(x,L(y,z,a(w,w,u))). [para(624(a,1),15053(a,1,2,3,1))]. 15055 K(x,L(y,z,u \ L(u,w,w \ 1))) = K(x,L(y,z,a(w,w,u))). [hyper(13329,a,15054,a)]. 15056 K(x,L(y,z,a(u,w,w \ 1))) = K(x,L(y,z,a(w,w,u))). [para(3955(a,1),15055(a,1,2,3))]. 15057 T(x,T(y,z) \ ((y * T(y,z)) * u)) = T(x,L((y \ 1) \ u,T(y,z),y)). [hyper(14714,a,14658,a),flip(a)]. 15058 K(T(x \ y,x),L(T(z,u * y),y,u)) = K(z,(u * x) / (u * T(y,x))). [hyper(12754,a,14679,a)]. 15060 K(x / y,L(T(z,u * x),x,u)) = K(z,(u * y) / (u * T(x,y))). [hyper(5654,a,15058,a)]. 15061 K(x,L(y \ (K(z,u) * w),u * w,u)) = K(x,(T(u,z) * y) \ (u * w)). [hyper(13245,a,14719,a)]. 15062 K(x,L(y \ (K(z,u) * w),w,u)) = K(x,(T(u,z) * y) \ (u * w)). [hyper(14734,a,15061,a)]. 15064 K(x,L(y \ (z * K(u,w)),w,z \ T(w,u))) = K(x,((T(w,u) / z) * y) \ w). [hyper(13329,a,14720,a)]. 15065 (x * K(y,z * z)) \ (u \ ((u * x) * K(y * y,z))) = a(z,u,K(y * y,x)). [para(11063(a,1),14792(a,1,1))]. 15066 (x \ (K(y,z) * u)) \ ((K(z,y) * x) \ u) = a(z,x,K(y,x \ u)). [para(4088(a,1),14822(a,2,3))]. 15067 (x \ (K(y,z) * u)) \ ((K(z,y) * x) \ u) = a(y,z,K(x,u)). [hyper(280,a,14508,a(flip),b,15066,a),flip(a)]. 15069 a(x,y,K(z,u)) / ((z \ (K(x,y) * u)) \ 1) = (K(y,x) * z) \ u. [para(15067(a,1),7599(a,1,1))]. 15070 ((x \ (K(y,z) * u)) \ 1) \ a(y,z,K(x,u)) = (K(z,y) * x) \ u. [hyper(13153,a,15069,a)]. 15071 a(x,y,K(z,u)) * (x \ (K(u,y) * z)) = (K(y,u) * x) \ z. [hyper(58,a,13691,a(flip),b,15070,a)]. 15072 L(x,y,K(z,u)) \ (K(z,y) * u) = (K(y,z) * x) \ u. [hyper(58,a,11815,a(flip),b,15071,a)]. 15073 (K(x,y) * a(z,z,u)) \ w = a(z,z,u) \ (K(y,x) * w). [para(11754(a,1),15072(a,1,1)),flip(a)]. 15074 K(x,y) * ((z * ((K(x,y) * z) \ u)) / K(x,y)) = L(u,x,K(y,z)) * K(y,x). [hyper(280,a,4323,a(flip),b,14848,a),flip(a)]. 15075 K(x,(y * z) \ (y * (L(z,u,K(w,v5)) * v6))) != v7 | K(x,L(v6,z,y)) = v7. [para(14880(a,2),13330(a,1))]. 15076 K(x,L(K(y,z) * (u \ w),w,z)) = K(x,(T(z,y) * u) \ (z * w)). [hyper(14953,a,15062,a)]. 15077 (x * K(y,z * z)) \ (u \ ((u * x) * K(y,z * z))) = a(z,u,K(y * y,x)). [para(11059(a,1),15065(a,1,2,2,2))]. 15078 K(x,L(y,z * u,z * (u / w))) = K(x,L(y,w,L(z * u,u,z))). [hyper(58,a,14881,a(flip),b,14697,a),flip(a)]. 15080 K(x,L(y,z,u * L(u \ 1,u,w))) = K(x,L(y,a(w,u,u \ 1),z)). [para(8724(a,1),14724(a,1,2,2)),flip(a)]. 15081 K(x,L(y,z,u * L(u \ 1,u,w))) = K(x,L(y,w,a(z,u,u \ 1))). [hyper(280,a,14872,a(flip),b,15080,a),flip(a)]. 15082 K(x,L(y,z,u * L(u \ 1,u,w))) = K(x,L(y,w,a(u,u,z))). [hyper(280,a,15056,a(flip),b,15081,a),flip(a)]. 15083 K(x,L(y,z,a(u,u,w))) = K(x,y). [hyper(10996,a,15082,a),flip(a)]. 15084 K(x,L(y,z,a(u,u,w))) != v5 | K(x,y) = v5. [para(15082(a,1),10996(a,1))]. 15085 K(x,(y * a(z,z,u)) \ (a(z,z,u) * w)) != v5 | K(x,T(y,a(z,z,u)) \ w) = v5. [para(573(a,1),15084(a,1,2))]. 15086 (K(x,K(y,z)) * u) * a(y,w,K(x,v5)) = K(x,y) * (K(y,L(T(x,z),v5,w)) * u). [para(13784(a,1),14749(a,1,2)),flip(a)]. 15087 a(x,y,K(z,u)) * (w * ((K(x,a(u,y,z)) * w) \ v5)) = L(v5,x,a(u,y,K(z,w))). [para(10530(a,2),14849(a,1,1))]. 15088 K(x * (K(y,L(z,u,w)) * K(v5,v6)),v7) = K(v7,K(z,y) * (x \ K(v6,v5))). [hyper(280,a,13766,a(flip),b,14911,a),flip(a)]. 15090 K(K(x,y) * (z * K(x,L(y,u,w))),v5) = K(v5,K(x,y) * (z \ K(y,x))). [hyper(58,a,13946,a,b,15088,a)]. 15092 K(K(x,y) * (z * K(x,L(y,u,w))),v5) = K(z,v5). [hyper(280,a,12317,a(flip),b,15090,a),flip(a)]. 15094 K((K(x,y) * z) * u,w) = K(z * (u * K(y,x)),w). [hyper(58,a,14353,a(flip),b,15092,a)]. 15096 K((T(x,y) \ z) * u,L(x,w,v5)) = K(z * (u * K(x,y)),L(x,w,v5)). [hyper(58,a,12458,a,b,15094,a)]. 15097 K((T(x,y) \ z) * u,L(x,w,v5)) = K(z * u,L(x,w,v5)). [hyper(280,a,9441,a(flip),b,15096,a),flip(a)]. 15099 K(x,y / (z * (u * (w / u)))) = K(x,y / (z * T(w,u))). [hyper(280,a,12641,a(flip),b,14918,a),flip(a)]. 15100 K(x,y / (z * T(u,w \ 1))) = K(x,y / (z * T(u,w))). [hyper(58,a,14386,a,b,15099,a)]. 15101 K(x / (x * y),L(T(z,u * x),x,u)) = K(z,(u * x) / (u * T(x / y,y))). [hyper(9639,a,15100,a)]. 15102 K(x / (x * y),L(T(z,u * x),x,u)) = K(z,(u * x) / (u * (y \ x))). [para(103(a,1),15101(a,2,2,2,2))]. 15103 K(x,L(T(y,z),u,w)) * K(y,x) = K(x,y) * K(y,L(T(x,z),w,u)). [hyper(3873,a,14940,a)]. 15105 (x * (K(y,L(z,u,w)) * T(K(z,L(y,u,w)) * v5,v6))) / T(K(z,y) * v5,v6) = ((x * K(y,z)) / T(K(z,y) * v5,v6)) * L(T(K(z,y) * v5,v6),K(y,z),x). [para(14950(a,2),2206(a,2,1,2)),flip(a)]. 15106 (x * (T(K(y,z) * u,w) * K(z,y))) / T(T(K(y,z) * u,w),K(z,y)) = (x * (K(z,L(y,v5,v6)) * T(K(y,L(z,v5,v6)) * u,w))) / T(K(y,z) * u,w). [para(14950(a,2),3398(a,2,1,2))]. 15107 T(T(x,y),L(y,z,u) \ x) = T(x,w) / (K(x,w) * a(x,u,K(y,z))). [para(13210(a,1),14959(a,1,2)),flip(a)]. 15109 K(x,K(y,z)) * (u * a(y,w,K(x,v5))) = K(x,y) * (K(y,L(T(x,z),v5,w)) * u). [hyper(58,a,13241,a(flip),b,15086,a)]. 15110 a(x,y,K(z,u)) * (w * ((a(x,y,K(z,u)) * w) \ v5)) = L(v5,x,a(u,y,K(z,w))). [para(10530(a,2),15087(a,1,2,2,1,1))]. 15111 (K(x,y) * K(y,L(T(x,z),u,w))) * v5 = K(x,K(y,z)) * (v5 * a(y,w,K(x,u))). [hyper(280,a,14465,a,b,15109,a)]. 15112 (K(x,y) * K(y,L(T(x,z),u,w))) * y = K(x,K(y,z)) * L(y,w,K(x,u)). [para(11750(a,1),15111(a,2,2))]. 15113 K(x,((y * z) * u) / ((y * z) * (z \ 1))) = K(u \ (z \ 1),L(T(x,y),y,z)). [hyper(14735,a,14648,a(flip)),flip(a)]. 15114 K(x,((y * z) * u) / ((y * z) * (z \ 1))) = K(T(x,y),L(z * u,y,z)). [hyper(280,a,10680,a(flip),b,15113,a),flip(a)]. 15115 K(x,((y * z) * u) / ((y * z) * (z \ 1))) = K(x,T(L(z * u,y,z),y)). [hyper(280,a,3638,a(flip),b,15114,a),flip(a)]. 15116 K(x,((y * z) * u) / ((y * z) * (z \ 1))) = K(x,L(T(z * u,y),y,z)). [para(20(a,2),15115(a,2,2))]. 15117 K(x,((y * z) * u) / L(y,z,z \ 1)) = K(x,L(T(z * u,y),y,z)). [para(3949(a,1),15116(a,1,2,2))]. 15118 ((x / (K(y * z,u) * z)) * z) * K(z * y,u) = x * a(u,z \ x,K(y,z)). [para(2908(a,1),14742(a,2,2,3))]. 15119 ((x / (y * K(y * z,u))) * y) * K(y * z,u) = x * a(u,y \ x,K(z,y)). [para(5495(a,1),15118(a,1,1,1,2))]. 15120 ((x / y) * (y * K(z,y * u))) * K(y * u,z) = x * a(z,y \ x,K(u,y)). [para(9459(a,1),15119(a,1,1))]. 15121 K(x,y * z) * ((K(y * z,x) * (u / y)) * y) = u * a(x,y \ u,K(z,y)). [hyper(11353,a,15120,a)]. 15122 ((x / ((y \ z) * K(y,u))) * (y \ z)) * K(y,u) = x * a(u,(y \ z) \ x,K(y,z)). [para(5022(a,1),14743(a,1,1,1,2))]. 15123 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = x * a(u,(y \ z) \ x,K(y,z)). [para(2896(a,1),14744(a,2,2,3))]. 15124 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = x * a(u,y,K(z,(y \ z) \ x)). [para(14446(a,2),15123(a,2,2))]. 15125 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = x * a(u,y,K(z,y * x)). [para(11311(a,1),15124(a,2,2,3))]. 15126 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = x * a(y,z,K(u,x)). [para(14509(a,1),15125(a,2,2))]. 15127 ((x / (y \ T(z,u))) * (y \ z)) * K(z,u) = L(x,z,K(y,u)). [hyper(280,a,11774,a(flip),b,15126,a),flip(a)]. 15128 x * a(y,(z \ u) \ x,K(z,u)) = L(x,u,K(z,y)). [hyper(58,a,15123,a(flip),b,15127,a)]. 15129 a(x,y,K(z,u)) * (a(u,y,K(z,L(x,w,v5))) * v6) = v6 * a(u,v5,K(a(x,y,z),w)). [para(10990(a,2),14747(a,1,2,1))]. 15130 K(x,K(y,z) * (u \ (K(z,L(y,w,v5)) * v6))) = K(x,u \ v6). [hyper(280,a,14893,a(flip),b,15031,a),flip(a)]. 15131 K(x,K(y,z) * (u \ ((K(z,y) * w) * v5))) = K(x,u \ (w * v5)). [para(11090(a,1),15130(a,1,2,2,2))]. 15132 ((x / (y \ z)) * ((y \ z) * K(u,y))) * K(y,u) = x * a(u,(y \ z) \ x,K(y,z)). [para(9459(a,1),15122(a,1,1))]. 15133 a(x,y,K(z,u)) * a(x,w,K(a(u,y,z),v5)) = a(x,y,K(z,L(u,v5,w))). [hyper(13290,a,15129,a),flip(a)]. 15134 a(x,y,K(z,u)) * a(x,w,a(u,y,K(z,v5))) = a(x,y,K(z,L(u,v5,w))). [para(9700(a,2),15133(a,1,2,3))]. 15135 a(x,y,K(z,u)) * a(w,v5,a(x,y,K(z,u))) = a(x,y,K(z,L(u,w,v5))). [para(13724(a,1),15134(a,1,2))]. 15136 K(x,y) * ((K(y,x) * (z / (y \ u))) * (y \ u)) = z * a(x,(y \ u) \ z,K(y,u)). [hyper(11353,a,15132,a)]. 15137 (a(x,y,K(z,u)) * w) * a(v5,v6,K(v7,v8)) = w * (a(v8,v6,K(v5,v7)) * a(z,y,K(u,x))). [hyper(14106,a,14521,a)]. 15138 a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = K(a(w,v5,u),a(x,y,z)). [hyper(280,a,2966,a,b,14655,a),flip(a)]. 15139 a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = a(a(w,v5,u),y,K(z,x)). [hyper(280,a,10530,a,b,15138,a),flip(a)]. 15140 a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = a(w,y,a(z,v5,K(u,x))). [hyper(280,a,10994,a(flip),b,15139,a),flip(a)]. 15141 a(x,y,K(z,L(u,w,v5))) * a(z,u,K(y,x)) = a(w,y,a(z,v5,K(x,u))). [hyper(14493,a,15140,a)]. 15142 K(x,y) * (L(y,z,u) \ (K(y,L(x,w,v5)) * v6)) = (L(y,z,u) \ v6) * a(x,v5,K(w,y)). [hyper(280,a,10553,a(flip),b,14745,a),flip(a)]. 15143 a(x,y,K(z,u)) * a(x,y,K(z,w)) = K(z,x) * K(x,L(L(z,w,y),u,y)). [para(10896(a,1),14750(a,1,2)),flip(a)]. 15144 a(x,y,K(z,u)) * a(z,y,K(w,x)) = K(z,x) * K(x,L(L(z,u,y),w,y)). [hyper(13447,a,15143,a)]. 15145 (K(x,y) * K(y,L(L(x,z,u),w,u))) * K(u,z) = a(y,u,K(x,w)) * K(u,L(z,x,y)). [para(15143(a,1),14938(a,1,1))]. 15146 K(x,y) * a(y,z \ u,a(w,v5,K(x,z \ v5))) = K(x,L(y,w,a(u / z,v5,v5 \ z))). [para(3570(a,1),14889(a,1,2,3,3))]. 15147 K(x,y / (z * (K(u,w) * v5))) = K(x,y * ((z * v5) \ K(w,u))). [hyper(58,a,14970,a(flip),b,14912,a),flip(a)]. 15148 K(x,y * ((K(z,K(u,w)) * ((K(v5,z) * v6) \ 1)) * v7)) = K(x,y * (((v7 \ K(z,K(u,w))) * v6) \ K(z,v5))). [hyper(58,a,14295,a,b,15147,a)]. 15149 K(x,y * (((z \ 1) * u) \ K(w,v5))) = K(x,y * (((K(v5,w) * u) \ 1) * z)). [hyper(58,a,10615,a(flip),b,15147,a),flip(a)]. 15150 K(x,y * (((K(z,u) * w) \ 1) * v5)) = K(x,y * (((w \ 1) * v5) * K(u,z))). [para(10575(a,1),15149(a,1,2,2)),flip(a)]. 15151 K(x,y * (((z \ 1) * u) * K(w,v5))) = K(x,y * ((z \ K(w,v5)) * u)). [para(10571(a,1),15150(a,1,2,2,1)),flip(a)]. 15152 K(x,K(y,z * ((u \ K(w,v5)) * v6))) = K(x,K(y,z * ((u \ 1) * v6))). [para(15151(a,1),12627(a,1,2))]. 15153 K(x,K(y,z * ((u \ K(w,v5)) * v6))) != v7 | K(x,K(y,v6 * (u \ z))) = v7. [para(15152(a,2),13747(a,1))]. 15154 K(x,T(y,z)) * (a(u,w,K(v5,v6)) \ z) = z / (K(y,x) * a(u,w,K(v5,v6))). [hyper(256,a,14935,a),flip(a)]. 15155 K(x,T(y,z)) * (a(u,w,K(v5,v6)) * z) = z / (K(y,x) * a(v6,w,K(v5,u))). [para(10537(a,1),15154(a,1,2))]. 15156 K(x,L((y * z) * u,y,z)) = K(x,L(T(z,y \ 1),y,y \ 1) * (y * u)). [hyper(13245,a,15026,a)]. 15158 K(x,L((y * z) * u,y,z)) = K(x,(y * (z * (y \ 1))) * (y * u)). [para(7037(a,1),15156(a,2,2,1))]. 15159 (x * K(y,z * z)) \ ((K(y,z * z) * (x * u)) / u) = a(y,u,K(x,z * z)). [hyper(58,a,13870,a(flip),b,15049,a)]. 15160 (x * K(y,z * z)) \ (u \ ((u * x) * K(y,z * z))) = a(y,u,K(x,z * z)). [para(11380(a,1),15159(a,1,2))]. 15161 a(x,y,K(z * z,u)) = a(z,y,K(u,x * x)). [hyper(58,a,15077,a(flip),b,15160,a)]. 15162 (x * a(y * y,z,K(u,w))) \ (x / a(y * y,z,K(u,w))) = x \ (x * (a(y * y,z,K(w,u)) * a(w * w,z,K(u,y)))). [para(15137(a,1),14424(a,2,2))]. 15163 L(x,y,z) * ((L(x,y,z) \ u) * a(w,v5 \ u,K(v5,x))) = ((u / (v5 * K(w,x))) * v5) * K(w,x). [para(15142(a,1),11720(a,1,2))]. 15164 K(x,y) * (K(z,u) * K(y,L(L(x,u,z),w,z))) = a(y,z,K(x,w)) * K(z,L(u,x,y)). [hyper(14663,a,15145,a)]. 15165 K(x,L(y,z,a(u / w,v5,v5 \ w))) = K(x,y) * a(y,w \ u,a(x,z,K(w,v5))). [para(14507(a,1),15146(a,1,2,3)),flip(a)]. 15166 L((K(x,y) / z) \ K(x,L(y,u,w)),v5,v6) = L(a(x,u,K(w,y)) * z,v5,v6). [hyper(58,a,13675,a(flip),b,14587,a),flip(a)]. 15168 L(x * (K(y,L(z,u,w)) * K(z,y)),v5,v6) = L(a(y,u,K(w,z)) * x,v5,v6). [para(14081(a,1),15166(a,1,1))]. 15169 L(a(x,y,K(z,u)) * w,v5,v6) = L(w * a(x,z,K(u,y)),v5,v6). [para(14434(a,1),15168(a,1,1,2)),flip(a)]. 15170 (x * y) \ T(((a(z,u,K(w,v5)) * v6) * x) * y,a(z,u,K(w,v5)) * v6) = L(v6 * a(z,w,K(v5,u)),x,y). [hyper(58,a,11371,a(flip),b,15169,a)]. 15171 L(x,y,a(z,u,K(w,v5))) = L(x,y,a(z,v5,K(u,w))). [hyper(14610,a,14609,a)]. 15172 x * (L(x,y,a(z,u,K(w,v5))) \ 1) = L(x,y,a(z,w,K(v5,u))) \ x. [para(15171(a,1),1917(a,1,2,1))]. 15173 x \ ((L(x,y,a(z,u,K(w,v5))) \ x) * (x * v6)) = (L(x,y,a(z,w,K(v5,u))) \ x) * v6. [para(15171(a,1),2300(a,1,2,1,1))]. 15174 (x \ y) * T(x * L(x \ 1,z,a(u,w,K(v5,v6))),y) = (x * L(x \ 1,z,a(u,v5,K(v6,w)))) * (x \ y). [para(15171(a,1),2606(a,1,2,1,2))]. 15175 L(x,y,a(z,u,K(w,v5))) = L(x,y,a(v5,w,K(u,z))). [para(10481(a,2),15171(a,1,3))]. 15176 T(((a(x,y,K(z,u)) * w) / (w * v5)) * w,L(v5,w,a(x,y,K(z,u)))) = L(v5,w,a(u,z,K(y,x))) \ (a(x,y,K(z,u)) * w). [para(15175(a,1),1392(a,2,1))]. 15177 x * L(x \ 1,y,a(z,u,K(w,v5))) = L(x,y,a(z,w,K(v5,u))) \ x. [para(11851(a,2),15172(a,1,2))]. 15178 L(x,y,a(z,u,K(w,v5))) \ x = a(z,y,a(x,v5,K(u,w))). [hyper(58,a,11852,a(flip),b,15177,a),flip(a)]. 15179 x \ (a(y,z,a(x,u,K(w,v5))) * (x * v6)) = (L(x,z,a(y,v5,K(u,w))) \ x) * v6. [para(15178(a,1),15173(a,1,2,1))]. 15180 x \ (L(x,y,a(z,u,K(w,v5))) * v6) = (L(x,y,a(v5,z,K(u,w))) \ x) * v6. [para(11862(a,1),15179(a,1,2))]. 15181 (L(x,y,a(z,u,K(w,v5))) \ x) * v6 = L(x,y,a(u,w,K(v5,z))) * (x \ v6). [hyper(1938,a,15180,a),flip(a)]. 15182 L(x,y,a(z,u,K(w,v5))) * (x \ v6) = a(v5,y,a(x,w,K(z,u))) * v6. [para(15178(a,1),15181(a,1,1)),flip(a)]. 15183 (K(x,y) * (K(z,u) * w)) \ (K(x,y) * (K(z,u) * (w * v5))) = L(v5,w,K(z,u) * K(x,y)). [para(14558(a,1),14683(a,1,2))]. 15184 L(T(x,K(y,z * z)),z * z,K(y,u)) = (u * ((u * K(z,y * y)) \ x)) * K(z * z,y). [para(5355(a,1),14932(a,1,1))]. 15185 ((x / (K(y,z) * u)) * u) * K(z,T(y,u)) = K(z,y) * (u * ((K(y,z) * u) \ x)). [hyper(58,a,14536,a(flip),b,14983,a)]. 15186 ((x / y) * (K(z,u) * y)) * K(z,T(u,y)) = K(z,u) * (y * ((K(u,z) * y) \ x)). [para(9468(a,1),15185(a,1,1))]. 15187 ((x / y) * (y * K(z,u))) * K(z,u) = K(z,u) * (y * ((K(u,z) * y) \ x)). [hyper(14982,a,15186,a)]. 15188 T(x * ((K(y,z) * x) \ u),K(y,z)) = (u / x) * (x * K(z,y)). [hyper(30,a,3531,a,b,15187,a)]. 15189 (x / y) * (y * K(z * z,u)) = y * ((K(u,z * z) * y) \ x). [hyper(30,a,11042,a(flip),b,15187,a),flip(a)]. 15190 (x / y) * (y * K(z,u * u)) = y * ((K(u * u,z) * y) \ x). [hyper(30,a,11041,a(flip),b,15187,a),flip(a)]. 15191 (x / y) * (K(z * z,u) * y) = y * ((K(u,z * z) * y) \ x). [hyper(58,a,11068,a,b,15189,a)]. 15192 (x * ((K(y,z * z) * x) \ u)) / L(x,K(z * z,y),u / x) = (u / x) * K(z * z,y). [hyper(112,a,15191,a(flip),b,86,a)]. 15193 L(L(x,y,K(z,u)),K(z,u) * y,K(w,v5)) = L(x,y,K(z,u) * K(w,v5)). [hyper(1190,a,15183,a)]. 15194 (x * ((x * K(y,z * z)) \ u)) * K(y * y,z) = L(u,y * y,K(z,x)). [para(11036(a,1),15184(a,1,1)),flip(a)]. 15195 T(x * K(K(y,z) * u,w),K(z,y) * (u \ x)) = K(K(y,z) * u,w) * T(x,u \ K(z,y)). [hyper(280,a,10651,a,b,14852,a),flip(a)]. 15196 T(x * K(K(y,z) * u,w),K(L(z,v5,v6),y) * (u \ x)) = T(K(y,L(z,v5,v6)) * u,w) * (x / (K(y,L(z,v5,v6)) * u)). [para(13778(a,1),14852(a,1,1,2))]. 15197 K(L(x / y,z,u) \ (x / y),L(w,y \ x,L(y,z,u))) = K(w,(y * L(y \ x,z,u)) / x). [hyper(14726,a,14878,a)]. 15198 (x * (K(y,T(z,u)) * T(K(z,T(y,u)) * (x \ w),v5))) \ w = K(v5,K(y,z) * (x \ w)). [hyper(280,a,12560,a(flip),b,15030,a),flip(a)]. 15200 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [hyper(58,a,7494,a(flip),b,15198,a),flip(a)]. 15202 K(x,(T(y,z) * u) \ (T(y,z) * w)) = K(x,(y * u) \ (y * w)). [hyper(58,a,14821,a(flip),b,15200,a),flip(a)]. 15203 K(x,(T(y,z) * u) \ (y * w)) = K(x,(y * u) \ (T(y,z) * w)). [hyper(58,a,14816,a(flip),b,15200,a),flip(a)]. 15204 K(x,(T(y,z) * L(z,u,w)) \ v5) = K(x,(L(z,u,w) * y) \ v5). [hyper(58,a,13775,a(flip),b,15200,a),flip(a)]. 15205 K(x,T(y * L(z,u,w),z) \ v5) = K(x,(L(z,u,w) * y) \ v5). [para(8150(a,2),15204(a,1,2,1))]. 15206 K(x,(L(y,z,u) * w) \ (y * w)) = K(x,(w * L(y,z,u)) \ (w * y)). [hyper(11995,a,15205,a),flip(a)]. 15207 K(x,(y * L(z,u,w)) \ (y * z)) = K(x,y \ (z * (L(z,u,w) \ y))). [hyper(58,a,6325,a(flip),b,15206,a),flip(a)]. 15208 K(x,y \ (z * (L(z,u,w) \ y))) = K(x,L(z,u,w) \ z). [hyper(9758,a,15207,a),flip(a)]. 15211 K(x,(y \ z) \ (L(y,u,w) \ z)) = K(x,L(y,u,w) \ y). [hyper(58,a,6791,a,b,15208,a)]. 15213 (L(x,y,z) \ u) * T(u \ (L(x,y,z) * (x \ u)),w) = (x \ u) * K(w,L(x,y,z) \ x). [para(15211(a,1),3892(a,2,2))]. 15214 L(x,y,z) * ((x \ u) * K(w,L(x,y,z) \ x)) = u * T(u \ (L(x,y,z) * (x \ u)),w). [para(15213(a,1),2678(a,1,2))]. 15216 K(K(x,y) * z,u) * T(w,z \ K(y,x)) = T(z * K(x,y),u) * (w / (z * K(x,y))). [hyper(58,a,14859,a(flip),b,15195,a),flip(a)]. 15217 K(L(x / y,z,u) \ (x / y),L(w,x,L(y,z,u))) = K(w,(y * L(y \ x,z,u)) / x). [hyper(58,a,14944,a(flip),b,15197,a)]. 15218 a(x / y,z,K(u,L(w,x,L(y,u,z)))) = K(w,(y * L(y \ x,u,z)) / x). [hyper(58,a,14998,a(flip),b,15217,a)]. 15219 K(x,(y * L(y \ z,u,w)) / z) = a(z / y,w,K(u,L(x,z,y))). [para(10958(a,1),15218(a,1,3)),flip(a)]. 15220 K(x,(y * L(y \ z,u,w)) / z) = a(y \ z,w,K(u,L(x,z,y))). [hyper(280,a,13421,a(flip),b,15219,a),flip(a)]. 15222 K(x,(y * L(y \ z,u,w)) / z) = a(x,w,K(u,z \ y)). [hyper(280,a,14739,a(flip),b,15220,a),flip(a)]. 15223 K(x,y * L(y \ 1,z,u)) = a(x,u,K(z,(w / y) \ w)). [hyper(58,a,13612,a(flip),b,15222,a)]. 15224 K(x,y * L(y \ 1,z,u)) = a(x,u,K(z,y)). [para(70(a,1),15223(a,2,3,2))]. 15225 a(x * L(x \ 1,y,z),u,K(w,v5)) = a(w,u,a(v5,z,K(y,x))). [para(15224(a,1),10481(a,1,3)),flip(a)]. 15226 K(x,L(y,z,L(u * L(u \ 1,w,v5),v6 \ 1,v7))) = a(y,z,a(L(x,v7,v6),v5,K(w,u))) * K(x,y). [para(15225(a,1),14649(a,1,1)),flip(a)]. 15228 ((K((x * y) * z,u) * x) * y) \ ((x * y) * K(z * (x * y),u)) = a(x,u,K(z * x,y)). [hyper(280,a,14448,a(flip),b,14580,a),flip(a)]. 15229 ((K((x * y) * z,u) * x) * y) \ ((x * y) * K(z * (x * y),u)) = a(x,u,K(z,y)). [hyper(280,a,13656,a(flip),b,15228,a),flip(a)]. 15230 (x * y) \ (((K(z,(x * y) * u) * x) * y) * K(u * (x * y),z)) = a(x,z,K(u,y)). [hyper(58,a,11536,a(flip),b,15229,a)]. 15231 K(x,(y * (z * u)) \ ((y * z) * (L(u,z,y) * w))) = a(x,w,K(u,L(y * z,z,y))) * K(x,w). [para(9511(a,1),14618(a,2,1,3))]. 15232 K(x \ (y \ 1),L(T(z,y \ (y \ u)),u,y)) = K(z,((u / y) * x) / ((u / y) * (y \ 1))). [hyper(58,a,14705,a(flip),b,14647,a)]. 15233 K(x \ (y \ 1),L(T(z,y * (y \ u)),u,y)) = K(z,((u / y) * x) / ((u / y) * (y \ 1))). [hyper(58,a,12142,a(flip),b,15232,a)]. 15234 K(x,((y / z) * u) / ((y / z) * (z \ 1))) = K(u \ (z \ 1),L(T(x,y),y,z)). [para(5(a,1),15233(a,1,2,1,2)),flip(a)]. 15235 K(x,((y / z) * u) / ((y / z) * (z \ 1))) = K(T(x,y),L(z * u,y,z)). [hyper(280,a,10680,a(flip),b,15234,a),flip(a)]. 15236 K(x,((y / z) * u) / ((y / z) * (z \ 1))) = K(x,T(L(z * u,y,z),y)). [hyper(280,a,3638,a(flip),b,15235,a),flip(a)]. 15237 K(x,((y / z) * u) / ((y / z) * (z \ 1))) = K(x,L(T(z * u,y),y,z)). [para(20(a,2),15236(a,2,2))]. 15238 (K(x,T(y,z \ u)) * (z \ u)) * T(z,z \ u) = K(x,L(T(y,z * u),u,z)) * u. [hyper(280,a,140,a(flip),b,14838,a),flip(a)]. 15240 K(x,L(T(y,z * u),u,z)) * u = ((z \ u) * K(x,y)) * T(z,z \ u). [para(5433(a,1),15238(a,1,1)),flip(a)]. 15241 K(x,L(T(y,z * u),u,z)) * u = ((z \ u) * K(x,y)) * T(z,u). [para(423(a,1),15240(a,2,2))]. 15242 K(x,L(T(y,z * u),u,z)) * u = ((u / z) * K(x,y)) * z. [hyper(280,a,13825,a(flip),b,15241,a),flip(a)]. 15243 K(x,T(y,z)) * (z * a(u,w,K(v5,v6))) = z * (K(x,y) * a(u,w,K(v5,v6))). [para(13613(a,1),14937(a,1,1,2))]. 15244 K(x,T(y,z)) * (a(u,w,K(v5,v6)) * z) = z * (K(x,y) * a(u,w,K(v5,v6))). [hyper(14008,a,15243,a)]. 15246 x / (K(y,z) * a(u,w,K(v5,v6))) = x * (K(z,y) * a(v6,w,K(v5,u))). [hyper(58,a,15155,a(flip),b,15244,a)]. 15247 T(T(x,y),L(y,z,u) \ x) = T(x,w) * (K(w,x) * a(z,u,K(y,x))). [hyper(58,a,15107,a,b,15246,a)]. 15248 T(T(x,y),L(y,z,u) \ x) = T(T(x,a(y,u,z)),w) * K(w,x). [hyper(280,a,13668,a(flip),b,15247,a),flip(a)]. 15249 T(T(x,y),L(y,z,u) \ x) = T(T(x,a(y,u,z)) * K(w,x),w). [hyper(280,a,6100,a,b,15248,a),flip(a)]. 15250 T(T(x,y),L(y,z,u) \ x) = T(x,a(y,u,z)). [para(2963(a,1),15249(a,2,1))]. 15251 T(T(x,L(y,z,u)),y \ x) = T(x,a(y \ x,u,z)). [hyper(58,a,14405,a(flip),b,15250,a)]. 15252 T(x,a(y \ x,z,u)) = T(x,a(u,z,y)). [hyper(58,a,14790,a(flip),b,15251,a),flip(a)]. 15253 L(x,y,K(z,u \ x)) = T(x,a(z,y,u)). [hyper(11748,a,15252,a)]. 15254 L(x,y,K(z,u \ x)) = L(x,y,K(u,z)). [hyper(280,a,11747,a,b,15253,a),flip(a)]. 15255 L(x,y,K(x \ z,u)) = L(x,y,K(z,u)). [para(3570(a,2),15254(a,1,3))]. 15256 L(x,x \ y,K(z,u)) = L(x,u,K(y,z)). [hyper(14595,a,15255,a)]. 15257 (K(x,y) * ((K(y,x) * z) / u)) \ z = L(u,y,K(K(y,x) * z,x)). [hyper(58,a,6486,a(flip),b,15256,a)]. 15258 (K(x,y) * ((K(y,x) * z) / u)) \ z = L(u,y,K(z,x)). [para(4117(a,1),15257(a,2,3))]. 15259 L(x \ (K(y,z) * u),y,K(u,z)) = (K(z,y) * x) \ u. [para(67(a,1),15258(a,1,1,2)),flip(a)]. 15261 (K(x,y) * z) * L(u \ (K(y,x) * (K(x,y) * z)),y,K(K(x,y) * z,x)) = ((K(x,y) * z) / u) * z. [para(15259(a,2),107(a,1,2))]. 15262 K(x,L(K(y,z) * (u \ w),K(z,y) * u,(K(z,y) * u) \ 1)) = K(x,(u \ K(y,z)) * w). [para(10571(a,1),14969(a,2,2,1))]. 15263 K(x,(y \ K(z,u)) * w) != v5 | K(x,K(z,u) * (y \ w)) = v5. [para(15262(a,1),10833(a,1))]. 15264 ((x / (y * K(z,u))) * y) * K(z,u) = x * a(z,y \ x,K(y,u)). [hyper(9748,a,15163,a),flip(a)]. 15265 ((x / y) * (y * K(z,u))) * K(u,z) = x * a(u,y \ x,K(y,z)). [para(9459(a,1),15264(a,1,1))]. 15266 K(x,y) * ((K(y,x) * (z / u)) * u) = z * a(y,u \ z,K(u,x)). [hyper(11353,a,15265,a)]. 15267 K(x,y) * ((K(y,x) * (z / u)) * u) = z * a(u,y,K(z,x)). [para(14506(a,1),15266(a,2,2))]. 15268 K(x,y) * ((K(y,x) * (z / u)) * u) = L(z,y,K(x,u)). [hyper(280,a,11752,a(flip),b,15267,a),flip(a)]. 15270 K(x,y) * ((K(y,x) * (T(z,u) / u)) * u) = T(z,L(u,y,x)). [hyper(280,a,11779,a(flip),b,15268,a),flip(a)]. 15271 x * a(y,(z \ u) \ x,K(z,u)) = L(x,z,K(y,z \ u)). [hyper(58,a,15136,a(flip),b,15268,a)]. 15272 x * a(y,z \ x,K(u,z)) = L(x,z * u,K(y,z)). [hyper(58,a,15121,a(flip),b,15268,a)]. 15273 K(x,L(y,z,u)) * ((K(y,L(x,z,u)) * (w / v5)) * v5) = L(w,L(y,z,u),K(x,v5)). [para(9511(a,1),15268(a,1,2,1,1))]. 15274 L(x,y * z,K(u,y)) = x * a(y,z,K(x,u)). [para(14568(a,1),15272(a,1,2)),flip(a)]. 15275 L(x,y * z,K(u,y)) = L(x,z,K(u,y)). [hyper(280,a,11752,a(flip),b,15274,a),flip(a)]. 15276 L((x * y) \ z,y,K(z,x)) != u | (x * y) \ z = u. [para(15275(a,1),10803(a,1))]. 15277 L(x,y,K(z,y \ u)) = L(x,u,K(y,z)). [hyper(58,a,15128,a(flip),b,15271,a),flip(a)]. 15278 L(x,y \ z,K(y,u)) = L(x,z,K(y,u)). [hyper(14528,a,15277,a)]. 15279 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [para(4(a,1),15278(a,1,2)),flip(a)]. 15280 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(6449,a,15279,a),flip(a)]. 15281 L(L(x,y,z),z,K(u,y)) = L(x,y,T(z,u)). [hyper(14595,a,15280,a)]. 15282 L(x,K(y,z),T(u,w)) = L(x,K(y,z),u). [hyper(14540,a,15280,a)]. 15283 L(L(x,y,z),u,K(y,z)) = L(x,y,T(z,u)). [hyper(14528,a,15280,a)]. 15284 L(x,y,T(y,z)) = L(x,y,y). [hyper(4165,a,15280,a),flip(a)]. 15285 L(L(x,y,K(z,u)),y,z) = L(x,y,T(z,u)). [hyper(58,a,25,a,b,15280,a)]. 15286 L((x * y) \ z,y,K(x,u)) = L(y \ (x \ z),y,T(x,u)). [para(269(a,1),15280(a,1,1))]. 15287 x / L(L(y,z,u) \ L(y,z,T(u,w)),L(y,z,u),x) = (x / L(L(y,z,u),z,K(u,w))) * L(y,z,u). [para(15280(a,1),2417(a,1,2,1,2))]. 15288 (L(x,y,z) \ u) / (u \ (L(x,y,T(z,w)) * (L(x,y,z) \ u))) = L(L(x,y,z),y,K(z,w)) \ u. [para(15280(a,1),2675(a,1,2,2,1))]. 15289 a(x,y,K(z,u)) * (L(u,z,y) * w) = L(u,z,T(y,x)) * w. [para(15280(a,1),14594(a,2,1))]. 15290 L(x,T(y,z),y) = L(x,y,y). [hyper(1649,a,15284,a)]. 15291 L(T(x * x,y),x,x) * T(x * T(x,y * y),z) = x * (T(x,y * y) * T(x * T(x,y * y),z)). [para(15290(a,1),11498(a,1,1))]. 15292 T(x,T(y,z) \ ((y * T(y,z)) * u)) = T(x,L((y \ 1) \ u,y,y)). [para(15290(a,1),15057(a,2,2))]. 15293 L(x,K(y,z),u / w) = L(x,K(y,z),w \ u). [para(103(a,1),15282(a,1,3)),flip(a)]. 15294 L(x,K(y,z),L(u,w,K(v5,v6))) = L(x,K(y,z),u). [para(11747(a,2),15282(a,1,3))]. 15296 L(x,x,T(y,z)) = L(x,x,y). [hyper(58,a,4203,a(flip),b,15281,a),flip(a)]. 15297 L(x,y,T(z,y \ 1)) != u | L(x,y,z) = u. [para(15281(a,1),454(a,1))]. 15299 L(x,x,T(T(y,z),T(u,z)) * w) = L(x,x,K(y,u) * (w * T(y,z))). [para(5478(a,1),15296(a,1,3)),flip(a)]. 15300 L(L(x,y,K(z,u)),z,u) = L(x,z,T(u,y)). [hyper(58,a,25,a,b,15283,a)]. 15301 L((x * y) \ z,u,K(y,x)) = L(y \ (x \ z),y,T(x,u)). [para(269(a,1),15283(a,1,1))]. 15302 L(L(x,y,K(z,u)),y,u) = L(x,y,T(u,z \ u)). [para(2896(a,1),15285(a,1,1,3))]. 15303 L(x \ L(x,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). [para(11474(a,1),15285(a,1,1)),flip(a)]. 15304 (x / L(y,z,u)) * L(y,z,T(u,w)) = x * a(y,z,K(u,L(w,z,u))). [para(15285(a,1),11880(a,1,2))]. 15307 T((x * x) * y,x) / (y * x) != z | L(x,x,y) = z. [para(13884(a,2),15297(a,1))]. 15308 L(x,K(y,z),K(u,w) * ((K(w,u) * v5) * v6)) = L(x,K(y,z),v5 * v6). [para(14841(a,1),15294(a,1,3))]. 15309 L(L(x,y,K(z,u)),u,z) = L(x,u,T(z,y \ z)). [hyper(58,a,14635,a,b,15302,a)]. 15310 L(L(x,y,K(z,u)),z,y) = L(x,z,T(y,u \ y)). [hyper(58,a,14635,a(flip),b,15302,a)]. 15311 L(x,y,T(z,L(T(y,u) / w,v5,v6) \ z)) = L(L(x,z,K(w,L(y,v5,v6))),y,z). [para(9579(a,1),15310(a,1,1,3)),flip(a)]. 15312 L((x * y) \ z,y,K(x,u \ 1)) = L(y \ (x \ z),y,u * (x / u)). [para(3515(a,1),15286(a,2,3))]. 15313 L(x \ (y \ z),x,T(y,u)) = (y * x) \ L(z,y,K(u,x)). [hyper(58,a,14539,a(flip),b,15301,a),flip(a)]. 15314 L((x \ 1) \ L(x \ 1,x,T(y,z)),x \ 1,y) = (T(y,z) * (x \ 1)) \ (T(y,z) / x). [hyper(58,a,580,a(flip),b,15303,a),flip(a)]. 15315 T(x * L(y \ L(y,z,u),y,x),(y \ L(y,z,u)) \ 1) = (T(x,L(y,z,u) \ y) / y) * L(y,z,u). [para(15303(a,1),12114(a,1,1,2))]. 15316 L(x \ (y \ (K(z,y) * (x * u))),x,T(y,z)) = (y * x) \ ((K(z,y) * x) * u). [para(14843(a,1),15313(a,2,2))]. 15317 K(x,y) * ((K(y,x) * (z \ u)) * z) = T(u,L(z,y,x)). [para(929(a,1),15270(a,1,2,1,2))]. 15318 K(x,L(y,z,u)) * ((K(y,L(x,z,u)) * (w \ v5)) * w) = T(v5,L(w,y,L(x,z,u))). [para(9511(a,1),15317(a,1,1))]. 15319 L(x,y,z) * a(z,y,K(u,x)) = L(x,y,T(z,u)). [hyper(14617,a,15289,a),flip(a)]. 15320 a(x,y,K(z,u)) * L(x,y,z) = L(x,y,T(z,u)). [hyper(13292,a,15319,a)]. 15321 L(x,y,T(z,u)) * a(T(z,u),y,K(T(w \ T(z,u),v5),x)) = L(x,y,T(T(z,T(w \ z,v5)),u)). [para(9886(a,1),15319(a,2,3))]. 15322 L(x,y,T(z,u)) != w | a(x,y,K(z,u)) * L(x,y,z) = w. [para(15319(a,1),13292(a,1))]. 15323 L(x,y,z) \ a(z,y,K(x,u)) = L(x,y,T(z,u)) \ 1. [para(15319(a,1),13703(a,1,1)),flip(a)]. 15324 a(x,y,K(z,u)) * L(x,y,u) = L(x,y,T(u,z \ u)). [para(2896(a,1),15320(a,1,1,3))]. 15325 a(x,y,K(z,L(u,w,v5))) * L(z,y,u) = L(z,y,T(u,L(x,w,v5))). [para(10543(a,1),15320(a,1,1))]. 15326 L(x,y,z) * a(z,y,K(x,u)) = L(x,y,T(z,u \ z)). [hyper(13448,a,15324,a)]. 15327 a(x \ (T(y,z \ y) * (L(T(y,z \ y),u,w) \ x)),x,K(z,y)) * L(x \ (T(y,z \ y) * (L(T(y,z \ y),u,w) \ x)),x,y) = (L(T(y,z \ y),u,w) * x) \ (T(y,z \ y) * x). [hyper(280,a,1942,a(flip),b,15324,a),flip(a)]. 15328 L(L(x,y,z) * (a(z,y,K(x,u)) / L(x,y,z)),w,v5) \ L(x,y,T(z,u \ z)) = (L(x,y,z) / L(a(z,y,K(x,u)),w,v5)) * a(z,y,K(x,u)). [para(15326(a,1),6934(a,1,2))]. 15329 T(x,T(y,z) \ ((y * T(y,z)) * u)) = T(x,(y \ 1) \ u). [hyper(280,a,10861,a(flip),b,15292,a),flip(a)]. 15332 T(x,T(y,z) \ ((y * T(y,z)) * u)) = T(x,y * u). [hyper(280,a,10720,a(flip),b,15329,a),flip(a)]. 15333 T(x,L((y \ 1) \ z,y \ 1,T(y,u) * y)) = T(x,y * z). [hyper(58,a,13300,a,b,15332,a)]. 15335 T(x,L((y \ 1) \ z,y \ 1,y * y)) = T(x,y * z). [para(100(a,1),15333(a,1,2,3,1))]. 15336 T(x,y \ ((y * y) * z)) = T(x,y * z). [para(577(a,1),15335(a,1,2))]. 15337 T(x,(y \ z) * (y * y)) = T(x,y * z). [hyper(58,a,7168,a(flip),b,15336,a)]. 15338 T(x,T(y,z) * (z * z)) = T(x,z * (y * z)). [para(17(a,2),15337(a,1,2,1))]. 15339 T(x,(y * (z / y)) * (y * y)) = T(x,y * (z * y)). [hyper(58,a,11952,a,b,15338,a)]. 15340 T(x,T((y * y) * z,y)) = T(x,y * (z * y)). [para(11370(a,2),15339(a,1,2))]. 15341 T((x * x) * (y * x),x * (y * x)) = x * ((x * x) * y). [hyper(58,a,13890,a(flip),b,15340,a),flip(a)]. 15342 (x * T(x,y * x)) * (y * x) = x * ((x * x) * y). [hyper(58,a,1855,a(flip),b,15341,a)]. 15343 (x * T(x,y)) * (y * x) = x * ((x * x) * y). [para(761(a,1),15342(a,1,1,2))]. 15344 (x * x) * (x * y) = x * ((x * x) * y). [hyper(58,a,4893,a(flip),b,15343,a)]. 15345 T(x,y) * ((T(x,y) * T(x,y)) * K(T(x,y) * T(x,y),z / x)) = T(T(x,y) * T(x,y),x \ z) * T(x,y). [hyper(58,a,12223,a(flip),b,15344,a),flip(a)]. 15346 (x / L(y,z,u)) * L(y,z,T(u,w)) = x * a(y,z,K(u,w)). [para(5056(a,1),15304(a,2,2,3))]. 15348 L(x,K(y,z),K(u,w) * (v5 * (v6 * K(w,u)))) = L(x,K(y,z),v5 * v6). [hyper(13452,a,15308,a)]. 15349 L(x \ (y \ z),x,u * (y / u)) = L((y * x) \ z,x,K(u,y)). [para(3566(a,1),15312(a,1,3)),flip(a)]. 15350 L((x * y) \ z,y,K(z,x)) = ((z * (x / z)) * y) \ T(z,x). [hyper(58,a,2117,a(flip),b,15349,a),flip(a)]. 15351 ((x * (y / x)) * z) \ T(x,y) = (y * z) \ x. [hyper(15276,a,15350,a),flip(a)]. 15352 (T(x,y) / z) * (y \ x) = T(x,y) * ((y * z) \ x). [para(15351(a,1),2168(a,1,2)),flip(a)]. 15353 L(x \ (T(y,z) \ (x * u)),x,T(y,z)) = (y * x) \ ((K(z,y) * x) * u). [para(4282(a,1),15316(a,1,1,2))]. 15354 (x * y) \ ((K(z,x) * y) * u) = (T(x,z) * y) \ (y * u). [hyper(58,a,269,a(flip),b,15353,a),flip(a)]. 15355 (T(x,y) * z) \ (z * (T(T(x,z),y) * u)) = L(u,T(x,y),z * K(y,x)). [hyper(14152,a,15354,a),flip(a)]. 15356 L(x,T(y,z),u * K(z,y)) = L(x,T(y,z),u). [hyper(6734,a,15355,a),flip(a)]. 15357 L(x,T(y,z),K(z,y) * u) = L(x,T(y,z),u). [hyper(13256,a,15356,a)]. 15358 K(x,L(y,z,u)) * ((K(y,L(x,z,u)) * (w / v5)) * v5) != v6 | L(w,y,K(x,L(v5,z,u))) = v6. [para(15273(a,2),14778(a,1))]. 15359 K(x,L(y,z,u)) * ((K(y,L(x,z,u)) * (L(w,v5,v6) / v7)) * v7) = T(L(T(w,v7 \ 1),v5,v6),L(v7,y,L(x,z,u))). [para(3524(a,1),15318(a,1,2,1,2))]. 15360 L((x \ 1) \ L(x \ 1,x,T(y,z)),x \ 1,y) = a(x \ 1,x,T(y,z)). [hyper(280,a,6171,a(flip),b,15314,a),flip(a)]. 15361 L((x \ 1) \ L(x \ 1,x,y),x \ 1,y) = a(x \ 1,x,T(y,z)). [para(10702(a,1),15360(a,1,1,2))]. 15362 L(x * L(x \ 1,x,y),x \ 1,y) = a(x \ 1,x,T(y,z)). [para(1013(a,1),15361(a,1,1))]. 15364 a(x \ 1,x,T(y,z)) = a(x \ 1,x,y). [hyper(6175,a,15362,a),flip(a)]. 15365 a(x,x \ 1,T(y,z)) = a(x \ 1,x,y). [hyper(7098,a,15364,a)]. 15366 a(x,x \ 1,T(y,z)) = a(x,x \ 1,y). [hyper(280,a,7063,a(flip),b,15365,a),flip(a)]. 15367 T(x * ((y * x) \ 1),z) \ T(y \ 1,z) = a(x,x \ 1,y \ 1). [hyper(58,a,1592,a,b,15366,a)]. 15369 T(x * ((y * x) \ 1),z) \ T(y \ 1,z) = a(y,x,x \ 1). [hyper(280,a,2147,a(flip),b,15367,a),flip(a)]. 15370 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(58,a,9654,a(flip),b,15369,a)]. 15372 a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). [para(103(a,1),15370(a,1,1)),flip(a)]. 15373 a(x \ y,x,x \ 1) = a(y,x,x \ 1). [hyper(58,a,6178,a(flip),b,15372,a),flip(a)]. 15374 ((x \ y) * (x * (x \ 1))) \ (T(y,x) * (x \ 1)) = a(y,x,x \ 1). [hyper(58,a,938,a,b,15373,a)]. 15375 (x \ y) \ (T(y,x) * (x \ 1)) = a(y,x,x \ 1). [para(62(a,1),15374(a,1,1))]. 15377 (x \ y) \ ((x \ 1) * y) = a(y,x,x \ 1). [para(3507(a,1),15375(a,1,2))]. 15378 (x \ y) * a(y,x,x \ 1) = (x \ 1) * y. [hyper(126,a,15377,a)]. 15379 L(T((x \ y) \ 1,(x \ 1) * y),x \ y,(x \ 1) * y) = ((x \ 1) * y) \ a(y,x,x \ 1). [para(15377(a,1),1064(a,2,2))]. 15380 a(x \ y,z,a(y,x,x \ 1)) = 1. [para(15377(a,1),7666(a,1,3))]. 15381 (((x \ 1) * y) * z) / a(x \ y,a(y,x,x \ 1),z) = (x \ y) * (a(y,x,x \ 1) * z). [para(15378(a,1),170(a,1,1,1))]. 15382 (((x \ 1) * y) * x) / a(x \ y,a(y,x,x \ 1),x) = (x \ y) * (x * a(y,x,x \ 1)). [para(9725(a,1),15381(a,2,2))]. 15383 ((x \ 1) * (y * x)) / a(x \ y,a(y,x,x \ 1),x) = (x \ y) * (x * a(y,x,x \ 1)). [para(7024(a,1),15382(a,1,1))]. 15384 ((x \ 1) * (y * x)) / a(x \ y,x,a(y,x,x \ 1)) = (x \ y) * (x * a(y,x,x \ 1)). [para(8958(a,1),15383(a,1,2))]. 15385 (x \ y) * (x * a(y,x,x \ 1)) = ((x \ 1) * (y * x)) / 1. [para(15380(a,1),15384(a,1,2)),flip(a)]. 15386 (x \ y) * (x * a(y,x,x \ 1)) = (x \ 1) * (y * x). [hyper(280,a,65,a(flip),b,15385,a),flip(a)]. 15388 L(T((x \ y) \ 1,x \ y),x \ y,(x \ 1) * y) = ((x \ 1) * y) \ a(y,x,x \ 1). [para(10723(a,1),15379(a,1,1))]. 15389 L((x \ y) \ 1,x \ y,(x \ 1) * y) = ((x \ 1) * y) \ a(y,x,x \ 1). [para(382(a,1),15388(a,1,1))]. 15390 ((x \ 1) * y) \ a(y,x,x \ 1) = (x \ y) \ 1. [hyper(58,a,1093,a(flip),b,15389,a),flip(a)]. 15391 K(x,(y * (z * u)) \ ((y * z) * (L(u,z,y) * w))) = a(x,w,K(u,y * z)) * K(x,w). [para(10524(a,1),15231(a,2,1,3))]. 15392 K(x,(y * (z * u)) \ ((y * z) * (L(u,z,y) * w))) = K(x,L(w,u,y * z)). [hyper(280,a,14498,a(flip),b,15391,a),flip(a)]. 15393 K(x,K(y,z) * ((u * w) \ ((K(z,y) * u) * (L(w,u,K(z,y)) * v5)))) = K(x,L(v5,w,K(z,y) * u)). [hyper(14806,a,15392,a)]. 15394 K(x,L(y,L(z,u,w),w * u)) = K(x,L(y,z,w * u)). [para(554(a,1),15392(a,1,2))]. 15395 K(x,L(y,z,L(u * w,w,u))) = K(x,L(y,z,u * w)). [hyper(58,a,14877,a(flip),b,15394,a)]. 15396 K(x,L(y,z * T(u,w),z * (w \ u))) = K(x,L(y,w,z * (w \ u))). [hyper(58,a,14710,a(flip),b,15394,a)]. 15397 K(x,L(y,z * u,z * (u / w))) = K(x,L(y,w,z * u)). [hyper(58,a,15078,a,b,15395,a)]. 15398 (L(x,y,z) \ u) / (u \ (L(x,y,T(z,w)) * (L(x,y,z) \ u))) = L(x,y,T(z,w)) \ u. [para(15280(a,1),15288(a,2,1))]. 15399 L(x,y,T(z,u)) * a(T(z,u),y,K(w \ T(z,u),T(x,v5))) = L(x,y,T(T(z,T(w \ z,v5)),u)). [para(3638(a,1),15321(a,1,2,3))]. 15400 L(x,y,T(T(z,T(u \ z,w)),v5)) = L(x,y,T(z,v5)) * a(T(z,v5),y,K(u \ T(z,v5),x)). [para(13375(a,1),15399(a,1,2)),flip(a)]. 15401 L(x,y,T(T(z,T(u \ z,w)),v5)) = L(x,y,T(z,v5)) * a(T(z,v5),y,K(x,T(z,v5) \ u)). [para(3570(a,1),15400(a,2,2,3))]. 15403 L(x,y,T(T(z,T(u \ z,w)),v5)) = L(x,y,T(z,v5)) * a(T(z,v5),y,K(x,u)). [para(10704(a,1),15401(a,2,2))]. 15404 L(x,y,T(T(z,T(u \ z,w)),v5)) = L(x,y,T(z,v5)) * a(z,y,K(x,u)). [para(13419(a,1),15403(a,2,2))]. 15405 L(x,y,T(z,u)) * a(z,y,K(x,w)) = L(x,y,T(T(z,w \ z),u)). [para(100(a,1),15404(a,1,3,1,2)),flip(a)]. 15407 K(x,y) * (((K(x,T(y,z)) * u) * K(w,v5)) \ K(x,y)) = K(v5,w) * ((K(x,y) / u) * K(z,K(x,y))). [hyper(4346,a,14685,a)]. 15408 (L(x,K(y,z),u) \ (L(x,K(y,z),u) / w)) * x = (w * a(x,K(y,z),u)) \ L(x,K(y,z),u). [hyper(280,a,14269,a(flip),b,14755,a),flip(a)]. 15409 (x * a(y,K(z,u),w)) \ L(y,K(z,u),w) = L(x \ 1,x,L(y,K(z,u),w)) * y. [hyper(58,a,354,a,b,15408,a),flip(a)]. 15410 K(x,L(y,z,L(u * L(u \ 1,w,v5),v6 \ 1,v7))) = a(y,z,a(x,v5,K(w,L(u,v7,v6)))) * K(x,y). [para(10923(a,1),15226(a,2,1,3))]. 15411 K(x,(y * z) \ (y * (L(z,y,K(u,w)) * v5))) = K(x,L(v5,z,K(u,w) * y)). [hyper(58,a,15131,a(flip),b,15393,a)]. 15412 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [hyper(15075,a,15411,a),flip(a)]. 15414 K(x,L(y,z,u \ T(w,v5))) = K(x,L(y,z,u \ w)). [para(3194(a,1),15412(a,1,2,3))]. 15415 K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). [para(3774(a,1),15412(a,1,2,3))]. 15416 ((K(x,y) * z) * u) * K(w,L(v5,u,z)) = (K(x,y) * z) * (u * K(w,v5)). [para(15412(a,1),9396(a,1,2))]. 15417 K(x,L(y,z,u * (w * K(v5,v6)))) = K(x,L(y,z,u * w)). [para(13298(a,1),15412(a,1,2))]. 15419 K(x,L(y,z,u * (w / v5))) = K(x,L(y,z,u * (v5 \ w))). [para(3137(a,1),15415(a,1,2,3))]. 15420 (x * T(y,z)) * K(u,L(w,y,x)) = (x * K(y,z)) * (y * K(u,w)). [para(15415(a,1),9440(a,1,2))]. 15421 K(x,L(y,z,u)) * (z * (u * K(w,v5))) = (K(x,y) * z) * (u * K(w,v5)). [para(15415(a,1),11090(a,1,1))]. 15422 K(x,L(y \ (z * K(u,w)),w,z \ w)) = K(x,((T(w,u) / z) * y) \ w). [hyper(58,a,15064,a(flip),b,15414,a),flip(a)]. 15423 K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,v5,z * y)). [hyper(58,a,14961,a(flip),b,15417,a)]. 15424 K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,u * (w \ 1))). [para(10497(a,1),15417(a,1,2,3,2))]. 15426 K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,v5,z)). [hyper(280,a,14659,a(flip),b,15423,a),flip(a)]. 15427 K(x,L(y,z \ K(u,w),v5)) != v6 | K(x,L(y,v5,z)) = v6. [para(15423(a,2),14693(a,1))]. 15428 K(x,L(y,z * u,z * (w \ u))) = K(x,L(y,w,z * u)). [hyper(58,a,15397,a(flip),b,15419,a),flip(a)]. 15429 K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,u \ w,z)). [hyper(280,a,14608,a(flip),b,15424,a),flip(a)]. 15430 K(x,L(y,z,T(u \ L(u,w,v5),v6))) = K(x,L(y,L(u,w,v5) \ u,z)). [para(3890(a,1),15429(a,1,2,3))]. 15431 (x * K(y,z)) * (y * K(u,w)) = x * (T(y,z) * K(u,w)). [hyper(14680,a,15420,a),flip(a)]. 15432 (x * K(y,z)) * (y * K(u,w)) != v5 | x * (T(y,z) * K(u,w)) = v5. [para(15420(a,1),14680(a,1))]. 15434 T((K(x,y) * z) * (x * K(u,w)),K(x,y)) = z * (T(x,y) * K(u,w)). [hyper(58,a,14142,a,b,15431,a)]. 15435 (x / T(y,z)) * (T(y,z) * K(u,w)) = (x / y) * (y * K(u,w)). [para(3379(a,1),15431(a,1,1)),flip(a)]. 15436 (x / T(y,K(z,u))) * (K(u,z) * y) = (x / y) * (y * K(u,z)). [para(3531(a,1),15435(a,1,2))]. 15437 (x / (K(y,z) * u)) * (K(y,z) * (u * K(y,z))) = (x / u) * (u * K(y,z)). [hyper(58,a,9492,a,b,15436,a)]. 15438 (K(x,y) * z) * (x * K(u,w)) = K(x,y) * (z * (x * K(u,w))). [para(5056(a,1),15421(a,1,1)),flip(a)]. 15439 (K(x * x,y) * x) * ((x * x) * K(z,u)) = K(x * x,y) * ((x * x) * (x * K(z,u))). [para(15344(a,2),15438(a,2,2))]. 15440 T(K(x,y) * (z * (x * K(u,w))),K(x,y)) = z * (T(x,y) * K(u,w)). [para(15438(a,1),15434(a,1,1))]. 15441 (x * (y * K(z,u))) * K(y,w) = x * (T(y,w) * K(z,u)). [hyper(1021,a,15440,a)]. 15442 (x / (y * K(z,u))) * T(y,w) = (x / y) * (T(y,w) * K(u,z)). [hyper(9462,a,15441,a)]. 15443 K(x,L(y \ (z * K(u,w)),z,w)) = K(x,((T(w,u) / z) * y) \ w). [hyper(14733,a,15422,a)]. 15445 (x * K(x * x,y)) * ((x * x) * K(z,u)) = K(x * x,y) * ((x * x) * (x * K(z,u))). [para(3775(a,1),15439(a,1,1))]. 15446 K(x * x,y) * ((x * x) * (x * K(z,u))) = x * (T(x * x,y) * K(z,u)). [hyper(15432,a,15445,a),flip(a)]. 15447 T(x * x,y) * (x * K(z,u)) = x * (T(x * x,y) * K(z,u)). [hyper(4104,a,15446,a)]. 15448 T(x * x,y) * T(x,z * z) = x * (T(x * x,y) * K(x * x,z)). [hyper(58,a,11060,a,b,15447,a)]. 15449 T(x * x,y) * T(x,z * z) = x * (K(x * x,z) * T(x * x,y)). [hyper(280,a,11068,a,b,15448,a),flip(a)]. 15450 T(x * x,y) * T(x,y * y) = x * T(T(x * x,y),y). [para(2932(a,1),15449(a,2,2))]. 15451 T(x * x,y) * T(x,y * y) = x * T(x * x,y * y). [para(11022(a,1),15450(a,2,2))]. 15452 K(x * x,T(y,z)) * (x * T(x * x,z * z)) = T(T(x * x,z),y) * T(x,z * z). [para(15451(a,1),4067(a,1,2))]. 15453 T(T(x * x,y),z) * T(x,y * y) = K(x * x,z) * (x * T(x * x,y * y)). [para(11067(a,1),15452(a,1,1)),flip(a)]. 15454 T(T(T(x * x,y * y),z) * x,x * x) = T(T(x * x,y),z) * T(x,y * y). [hyper(280,a,11410,a,b,15453,a)]. 15456 T(x * T(T(x * x,y * y),z),x * x) = T(T(x * x,y),z) * T(x,y * y). [para(1051(a,1),15454(a,1,1))]. 15457 T(T(T(x * x,y * y),z) * x,x) = T(T(x * x,y),z) * T(x,y * y). [hyper(11028,a,15456,a)]. 15458 T(x * T(T(x * x,y * y),z),x) = T(T(x * x,y),z) * T(x,y * y). [para(1051(a,1),15457(a,1,1))]. 15459 T(x,y * y) * T(T(x * x,y),z) = x * T(T(x * x,y * y),z). [hyper(11039,a,15458,a)]. 15460 K(x,y) * (((K(x,T(y,z)) * u) * K(w,v5)) \ K(x,y)) = K(v5,w) * ((K(x,y) / u) * K(x,K(y,z))). [para(5281(a,2),15407(a,2,2,2))]. 15461 K(x,L(y,z,L(u * L(u \ 1,w,v5),u \ 1,v6))) = a(y,z,a(x,v5,K(w,u))) * K(x,y). [para(844(a,1),15410(a,2,1,3,3,2))]. 15462 K(x,L(y,z,L(u * L(u \ 1,w,v5),u \ 1,v6))) = K(x,L(y,z,a(u,v5,w))). [hyper(280,a,10888,a(flip),b,15461,a),flip(a)]. 15463 K(x,L(y,z,u \ ((u / (w \ 1)) * L(w \ 1,v5,v6)))) = K(x,L(y,z,a(w,v6,v5))). [para(2415(a,1),15462(a,1,2,3))]. 15464 K(x,y) * ((K(x,T(y,z)) * (u * K(w,v5))) \ K(x,y)) = K(v5,w) * ((K(x,y) / u) * K(x,K(y,z))). [para(13197(a,1),15460(a,1,2,1))]. 15465 (K(x,y) / (z * K(u,w))) * K(x,K(y,v5)) = K(w,u) * ((K(x,y) / z) * K(x,K(y,v5))). [hyper(58,a,6444,a(flip),b,15464,a)]. 15466 K(x,y) / (z * K(u,w)) = K(w,u) * (K(x,y) / z). [hyper(13115,a,15465,a),flip(a)]. 15467 K(x,T(y,z)) \ ((z \ 1) \ K(x,y)) = K(y,x) * (K(x,y) / (z \ 1)). [hyper(58,a,12763,a,b,15466,a)]. 15470 K(x,T(y,z)) * L(K(y,x) * (K(x,y) / (z \ 1)),u,w) = ((z \ 1) \ K(x,y)) * (z \ L(z,u,w)). [para(15467(a,1),8952(a,1,2,1))]. 15471 ((x \ 1) \ K(y,z)) \ (K(y,T(z,x)) * L(K(z,y) * (K(y,z) / (x \ 1)),u,w)) = x \ L(x,u,w). [hyper(631,a,15470,a)]. 15472 ((x \ 1) \ K(y,z)) \ (K(y,T(z,x)) * L(x,u,w)) = x \ L(x,u,w). [para(10587(a,1),15471(a,1,2,2,1))]. 15473 ((x \ 1) \ K(y,z)) \ (L(x,u,w) * K(y,z)) = x \ L(x,u,w). [para(13228(a,1),15472(a,1,2))]. 15474 ((x \ 1) \ K(y,z)) * (x \ L(x,u,w)) = L(x,u,w) * K(y,z). [hyper(126,a,15473,a)]. 15475 (x * K(y,z)) * (x \ L(x,u,w)) = L(x,u,w) * K(y,z). [para(10503(a,1),15474(a,1,1))]. 15476 x * (K(y,z) * (x \ L(x,u,w))) = L(x,u,w) * K(y,z). [hyper(7663,a,15475,a)]. 15477 x * (K(y,z) * a(x,K(u,w),v5)) = L(x,K(u,w),v5) * K(y,z). [para(14247(a,1),15476(a,1,2,2))]. 15478 K(x \ T(y,z),L(T(u,y * (T(y,z) / w)),w,y)) = K(u,((w \ y) * x) / ((w \ y) * T(y,z))). [hyper(14733,a,14678,a)]. 15480 (K(x,y) * z) * L(u \ z,y,K(K(x,y) * z,x)) = ((K(x,y) * z) / u) * z. [para(4268(a,1),15261(a,1,2,1,2))]. 15481 (K(x,y) * z) * L(u \ z,y,K(z,x)) = ((K(x,y) * z) / u) * z. [para(4120(a,1),15480(a,1,2,3))]. 15483 x / L(L(y,z,u) \ L(y,z,T(u,w)),L(y,z,u),x) = (x / L(y,z,T(u,w))) * L(y,z,u). [para(15280(a,1),15287(a,2,1,2))]. 15485 T((x / y) * L(y,z,u),(y \ L(y,z,u)) \ 1) = (T(x,L(y,z,u) \ y) / y) * L(y,z,u). [para(2412(a,1),15315(a,1,1))]. 15487 T((x / y) * L(y,z,u),L(y,z,u) \ y) = (T(x,L(y,z,u) \ y) / y) * L(y,z,u). [hyper(3751,a,15485,a)]. 15488 K(x,L(y,z,u)) * (K(x,y) * L(K(x,y) \ 1,w,v5)) = a(x,z,K(u,y)) * (K(x,y) * a(y,v5,K(x,w))). [hyper(280,a,14566,a(flip),b,14443,a),flip(a)]. 15489 K(x,y * (((z \ K(u,K(w,v5))) * v6) \ K(u,v7))) = K(x,y * ((K(u,K(w,v5)) * (v6 \ K(u,v7))) * z)). [para(10571(a,1),15148(a,1,2,2,1,2)),flip(a)]. 15490 K(x,y * (((z \ K(u,K(w,v5))) * v6) \ K(u,v7))) = K(x,y * ((v6 \ K(u,v7)) * (z * K(u,K(w,v5))))). [para(13348(a,1),15489(a,2,2,2))]. 15491 K(x,y * (((z \ K(u,K(w,v5))) * v6) \ K(u,v7))) != v8 | K(x,y * ((v6 \ K(u,v7)) * z)) = v8. [para(15490(a,2),12572(a,1))]. 15492 (x * y) \ T(((a(z,u,K(w,v5)) * v6) * x) * y,v6) = L(v6 * a(z,w,K(v5,u)),x,y). [para(13613(a,1),15170(a,1,2))]. 15494 (x \ y) * T(a(z,u,a(x,w,K(v5,v6))),y) = (x * L(x \ 1,u,a(z,v5,K(v6,w)))) * (x \ y). [para(11852(a,1),15174(a,1,2,1))]. 15495 (x * L(x \ 1,y,a(z,u,K(w,v5)))) * (x \ v6) = (x \ v6) * a(z,y,a(x,v5,K(u,w))). [para(13538(a,1),15494(a,1,2)),flip(a)]. 15496 (x * L(x \ 1,y,a(z,u,K(w,v5)))) * (x \ v6) = L(x,y,a(z,v5,K(u,w))) \ v6. [hyper(280,a,13745,a(flip),b,15495,a),flip(a)]. 15498 a(x,y,a(z,u,K(w,v5))) * (z \ v6) = L(z,y,a(x,v5,K(u,w))) \ v6. [para(11852(a,1),15496(a,1,1))]. 15499 K(x,L(y,z,u)) * (K(x,y) * L(K(x,y) \ 1,w,v5)) = a(x,z,K(u,y)) * K(x,L(y,v5,w)). [para(10541(a,1),15488(a,2,2))]. 15500 K(x,L(y,z,u)) * (K(x,y) * L(K(y,x),w,v5)) = a(x,z,K(u,y)) * K(x,L(y,v5,w)). [para(3418(a,1),15499(a,1,2,2,1))]. 15501 K(x,L(y,z,u)) * (K(x,y) * K(y,L(x,w,v5))) = a(x,z,K(u,y)) * K(x,L(y,v5,w)). [para(9384(a,1),15500(a,1,2,2))]. 15502 a(x,y,K(z,u)) * K(x,L(u,w,v5)) = K(x,L(u,y,z)) * a(x,v5,K(u,w)). [para(10529(a,1),15501(a,1,2)),flip(a)]. 15503 (a(x,y,K(z,u)) * a(w,v5,K(v6,v7))) * v8 = a(z,y,K(u,x)) * (a(w,v5,K(v6,v7)) * v8). [para(13142(a,1),14596(a,1,2,1)),flip(a)]. 15504 L(a(x,y,K(z,u)),a(w,v5,K(v6,v7)),v8) * (v8 * a(w,v5,K(v6,v7))) = a(v6,v5,K(v7,w)) * (a(x,y,K(z,u)) * v8). [hyper(58,a,13905,a,b,15503,a)]. 15507 T(a(x,y,K(z,u)) * (a(w,v5,K(v6,v7)) * v8),L(a(w,v5,K(v6,v7)),a(x,y,K(z,u)),v8)) = (a(x,y,K(z,u)) * v8) * R(a(w,v5,K(v6,v7)),a(x,y,K(z,u)),v8). [para(15503(a,1),13320(a,1,1))]. 15508 K(x,L(y \ 1,y * z,(y * z) \ 1) * ((y * z) * u)) = K(x,L(L(z,y,y \ 1) * u,y,y * z)). [hyper(280,a,14636,a(flip),b,15025,a),flip(a)]. 15509 K(x,L(y \ 1,y * z,(y * z) \ 1) * ((y * z) * u)) = K(x,L(L(z,y,y \ 1) * u,y,z)). [hyper(280,a,14696,a(flip),b,15508,a),flip(a)]. 15510 K(x,((y * z) * ((y * (y * z)) \ 1)) * ((y * z) * u)) = K(x,L(L(z,y,y \ 1) * u,y,z)). [para(7043(a,1),15509(a,1,2,1))]. 15511 K(x,L(y,y * z,(y * z) \ 1) \ ((y * z) * u)) = K(x,L(L(z,y,y \ 1) * u,y,z)). [hyper(10802,a,15510,a)]. 15512 (a(x,y,K(z,u)) * w) * (w \ L(a(u,z,K(x,y)),v5,v6)) = a(u,z,K(x,y)) \ L(a(u,z,K(x,y)),v5,v6). [para(13704(a,1),14615(a,1,1))]. 15513 L(x,y,K(z,u)) * (x \ L(a(x,u,K(z,y)),w,v5)) = a(x,u,K(z,y)) \ L(a(x,u,K(z,y)),w,v5). [para(11749(a,1),15512(a,1,1))]. 15514 L(x,y,K(z,u)) * (x \ a(x,u,K(z,L(y,w,v5)))) = a(x,u,K(z,y)) \ L(a(x,u,K(z,y)),w,v5). [para(9411(a,2),15513(a,1,2,2))]. 15515 L(x,y,K(L(z,u,w),v5)) \ L(x,z,K(v5,y)) = a(x,y,K(v5,z)) \ L(a(x,y,K(v5,z)),u,w). [hyper(58,a,13746,a(flip),b,15514,a)]. 15516 a(x,y,K(z,u)) \ L(a(x,y,K(z,u)),w,v5) = x \ L(L(x,y,K(z,L(u,w,v5))),u,K(z,y)). [hyper(58,a,14133,a(flip),b,15515,a),flip(a)]. 15517 a(x,y,K(z,u)) \ a(x,y,K(z,L(u,w,v5))) = x \ L(L(x,y,K(z,L(u,w,v5))),u,K(z,y)). [para(9411(a,2),15516(a,1,2))]. 15518 x \ L(L(x,y,K(z,L(u,w,v5))),u,K(z,y)) = a(u,y,K(z,x)) * a(x,y,K(z,L(u,w,v5))). [hyper(10850,a,15517,a),flip(a)]. 15519 x \ L(L(x,y,K(z,L(u,w,v5))),u,K(z,y)) = a(w,y,a(z,v5,K(x,u))). [hyper(280,a,15140,a(flip),b,15518,a),flip(a)]. 15520 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = (y / x) * T(K(a(y,u,z),T(x,y)),w). [para(4657(a,1),14866(a,2,2,1))]. 15521 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = (y / x) * T(a(y,u,K(z,T(x,y))),w). [para(9700(a,2),15520(a,2,2,1))]. 15522 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = (y / x) * T(a(y,u,K(z,x)),w). [para(13375(a,1),15521(a,2,2,1))]. 15523 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = (y / x) * a(y,u,K(z,x)). [para(13150(a,1),15522(a,2,2))]. 15525 (K(x,y) * T(K(x,y) \ L(K(x,y),z,u),w)) * (x \ y) = T(y,a(x,u,z)) / x. [hyper(280,a,13308,a(flip),b,15523,a),flip(a)]. 15527 (K(x,y) * T(K(x,y) \ K(x,L(y,z,u)),w)) * (x \ y) = T(y,a(x,u,z)) / x. [para(9384(a,1),15525(a,1,1,2,1,2))]. 15528 (K(x,y) * T(K(y,x) * K(x,L(y,z,u)),w)) * (x \ y) = T(y,a(x,u,z)) / x. [para(4271(a,1),15527(a,1,1,2,1))]. 15529 (K(x,y) * T(a(x,z,K(y,u)),w)) * (x \ y) = T(y,a(x,z,u)) / x. [para(14433(a,1),15528(a,1,1,2,1))]. 15530 (K(x,y) * a(x,z,K(y,u))) * (x \ y) = T(y,a(x,z,u)) / x. [para(100(a,1),15529(a,1,1,2))]. 15531 K(x,L(y,z,u)) * (x \ y) = T(y,a(x,u,z)) / x. [para(14437(a,1),15530(a,1,1))]. 15532 (x \ y) * K(x,L(y,z,u)) = T(y,a(x,u,z)) / x. [hyper(58,a,13549,a(flip),b,15531,a)]. 15533 T(x \ y,L(x,z,u) \ 1) = T(y,a(x,u,z)) / x. [hyper(9586,a,15532,a)]. 15534 (T(x,a(y,z,u)) / y) * L(y,u,z) = L(y,u,z) * (y \ x). [para(15533(a,1),3512(a,1,1))]. 15535 (L(x,y,K(z,u)) / u) * L(u,z,y) = L(u,z,y) * (u \ x). [para(11747(a,2),15534(a,1,1,1))]. 15536 ((a(x,y,K(z,u)) / (K(w,v5) * a(x,y,K(z,u)))) * v6) \ a(x,y,K(z,u)) = (v6 \ a(x,y,K(z,u))) * K(w,v5). [para(13144(a,1),14934(a,2,1))]. 15537 K(x,L(y * (z \ 1),z,y * ((z \ 1) / y)) * (z * u)) = K(x,L(L(y,z,z \ 1) * u,z,y * (z \ 1))). [para(7042(a,1),15027(a,2,2,1,1))]. 15538 T(x,y) * ((T(x,y) * T(x,y)) * K(T(x,y) * T(x,y),z / x)) = T(T(x * x,y),x \ z) * T(x,y). [para(11016(a,1),15345(a,2,1,1))]. 15539 T(x,y) * ((T(x,y) * T(x,y)) * K(T(x,y) * T(x,y),z / x)) = T(T(x * x,z),y) * T(x,y). [para(11206(a,1),15538(a,2,1))]. 15540 T(x,y) * (T(x * x,y) * K(T(x,y) * T(x,y),z / x)) = T(T(x * x,z),y) * T(x,y). [para(11016(a,1),15539(a,1,2,1))]. 15541 T(x,y) * (T(x * x,y) * K(T(x * x,y),z / x)) = T(T(x * x,z),y) * T(x,y). [para(11016(a,1),15540(a,1,2,2,1))]. 15542 T(x,y) * (T(x * x,y) * K(x * x,T(z / x,y))) = T(T(x * x,z),y) * T(x,y). [para(3638(a,1),15541(a,1,2,2))]. 15543 T(x,y) * (T(x * x,y) * K(x * x,z / x)) = T(T(x * x,z),y) * T(x,y). [para(11067(a,1),15542(a,1,2,2))]. 15545 T(x,y) * (T(x * x,y) * K(x * x,x \ z)) = T(T(x * x,z),y) * T(x,y). [para(11069(a,1),15543(a,1,2,2))]. 15546 T(x,y) * (T(x * x,y) * K(x * x,z)) = T(T(x * x,z),y) * T(x,y). [para(14967(a,1),15545(a,1,2,2))]. 15547 T(x,y) * (K(x * x,y) * T(x * x,z)) = T(T(x * x,z),y) * T(x,y). [para(3396(a,2),15546(a,1,2))]. 15548 T(x,y) * T(K(x * x,y) * (x * x),z) = T(T(x * x,z),y) * T(x,y). [para(12447(a,2),15547(a,1,2))]. 15549 T(T(x * x,y),z) * T(x,z) = T(x,z) * T(T(x * x,z),y). [para(2888(a,2),15548(a,1,2,1)),flip(a)]. 15550 T(L(T(x,y \ 1),z,u),L(y,w,L(v5,v6,v7))) = L(L(x,z,u),w,K(v5,L(y,v6,v7))). [hyper(15358,a,15359,a),flip(a)]. 15551 L(T(T(x,y \ 1),L(y,z,L(u,w,v5))),v6,v7) = L(L(x,v6,v7),z,K(u,L(y,w,v5))). [hyper(58,a,20,a,b,15550,a)]. 15552 L(L(x,L(y,z,u),K(w,v5)),v6,v7) = L(L(x,v6,v7),v5,K(y,L(w,z,u))). [para(14583(a,1),15551(a,1,1))]. 15553 L(L(x,y,K(z,L(u,w,v5))),v6,v7) = L(L(x,v6,v7),u,K(y,L(z,w,v5))). [para(14777(a,1),15552(a,1,1))]. 15554 L(L(x,y,K(z,L(u,w,v5))),u,y) = L(x,u,T(y,L(z,w,v5))). [hyper(280,a,15280,a(flip),b,15553,a),flip(a)]. 15555 (x / L(y,z,u)) * L(L(y,w,K(v5,L(v6,v7,v8))),z,u) = x * a(L(y,z,u),v6,K(w,L(v5,v7,v8))). [para(15553(a,2),11812(a,1,2))]. 15556 L(x,y,T(z,L(T(y,u) / w,v5,v6) \ z)) = L(x,y,T(z,L(w,v5,v6))). [hyper(58,a,15311,a,b,15554,a)]. 15557 L(x,y,T(z,L((T(y,u) / w) \ z,v5,v6))) = L(x,y,T(z,L(w,v5,v6))). [para(9585(a,2),15556(a,1,3))]. 15558 L(x,y,T(z,L(u \ T(y,w),v5,v6))) = L(x,y,T(z,L(u \ z,v5,v6))). [para(67(a,1),15557(a,1,3,2,1,1)),flip(a)]. 15559 L(x,y,T(z,L(u \ z,w,v5))) = L(x,y,T(z,L(u \ y,w,v5))). [para(100(a,1),15558(a,1,3,2,1,2)),flip(a)]. 15560 L(x,y * z,T(u,L(y \ u,w,v5))) = L(x,y * z,T(u,L(z,w,v5))). [para(4(a,1),15559(a,2,3,2,1))]. 15561 x * a(L(y,z,u),w,K(v5,L(v6,v7,v8))) = x * a(y,v5,K(v6,L(L(w,v7,v8),z,u))). [hyper(58,a,11880,a(flip),b,15555,a),flip(a)]. 15562 x * a(y,z,K(u,L(L(w,v5,v6),v7,v8))) = x * a(y,w,K(z,L(L(u,v5,v6),v7,v8))). [para(10923(a,1),15561(a,1,2)),flip(a)]. 15563 x * a(y,z,K(u,L(L(x,w,v5),v6,v7))) = L(x,z,K(y,L(L(u,w,v5),v6,v7))). [hyper(280,a,14501,a(flip),b,15562,a),flip(a)]. 15564 a(x,y,K(z,L(L(u,w,v5),v6,v7))) * u = L(u,y,K(x,L(L(z,w,v5),v6,v7))). [hyper(13154,a,15563,a)]. 15565 L(a(x,y,K(z,u)),a(x,w,K(v5,v6)),v7) * (v7 * a(x,w,K(v5,v6))) = x * (L(L(x,w,K(v6,v5)),y,K(u,z)) \ v7). [hyper(280,a,14105,a(flip),b,15504,a),flip(a)]. 15566 (K(x,y) * z) \ a(u,w,K(v5,v6)) = (z \ a(u,w,K(v5,v6))) * K(y,x). [para(4273(a,1),15536(a,1,1,1))]. 15568 a(x,y,K(z,L(u,a(x,w,K(v5,v6)),v7))) * (v7 * a(x,w,K(v5,v6))) = x * (L(L(x,w,K(v6,v5)),y,K(u,z)) \ v7). [para(9411(a,2),15565(a,1,1))]. 15569 a(x,y,K(z,u)) * (w * a(x,v5,K(v6,v7))) = x * (L(L(x,v5,K(v7,v6)),y,K(u,z)) \ w). [para(14472(a,1),15568(a,1,1,3))]. 15571 T(x,K(y,z) * (u \ (w \ x))) = ((w * (K(z,T(y,v5)) * u)) * x) / (K(v5,K(z,y)) * (w * (K(z,y) * u))). [para(13659(a,1),14850(a,2,1))]. 15572 T(x,K(y,z) * (u \ (w \ x))) = ((w * (K(z,T(y,v5)) * u)) * x) / (w * (K(z,T(y,v5)) * u)). [para(13410(a,1),15571(a,2,2))]. 15573 T(x,(y * (K(z,T(u,w)) * v5)) \ 1) = T(x,K(u,z) * (v5 \ (y \ x))). [hyper(280,a,3509,a,b,15572,a)]. 15574 T(x,K(y,z) * (u \ (w \ x))) = T(x,(u \ K(T(y,v5),z)) * (w \ 1)). [para(10647(a,1),15573(a,1,2)),flip(a)]. 15575 T(x,K(y,z) * (u \ (w \ x))) = T(x,(u \ K(y,T(z,v5))) * (w \ 1)). [para(3638(a,1),15574(a,2,2,1,2))]. 15576 T(x,(y \ K(z,T(u,w))) / v5) = T(x,K(z,u) * (y \ (v5 \ x))). [hyper(280,a,10731,a(flip),b,15575,a)]. 15577 T(x,y \ (z \ K(u,T(w,v5)))) = T(x,K(u,w) * (y \ (z \ x))). [hyper(15037,a,15576,a)]. 15578 T(x,K(y,z) * (u \ (w \ x))) = T(x,u \ (w \ K(y,z))). [para(100(a,1),15577(a,1,2,2,2,2)),flip(a)]. 15579 T(x,(y * z) \ K(u,w)) = T(x,z \ (y \ K(u,w))). [hyper(58,a,15046,a(flip),b,15578,a)]. 15580 T(x,(y * z) \ K(u * u,w)) = T(x,z \ (y \ 1)). [hyper(280,a,15042,a(flip),b,15579,a),flip(a)]. 15581 K(x,L(T(y,z \ (u \ 1)),w,v5)) != v6 | K(x,L(T(y,u * z),w,v5)) = v6. [para(15580(a,1),12756(a,1,2,1))]. 15582 K(x \ (y \ 1),L(T(z,y * u),y,u)) = K(z,((u \ 1) * x) / ((u \ 1) * (y \ 1))). [hyper(15581,a,14984,a)]. 15583 K(T(x,y * z),L(y * u,y,z)) = K(x,((z \ 1) * u) / ((z \ 1) * (y \ 1))). [hyper(10681,a,15582,a)]. 15584 K(x,T(L(y * z,y,u),y * u)) = K(x,((u \ 1) * z) / ((u \ 1) * (y \ 1))). [hyper(4739,a,15583,a)]. 15585 K(x,L(T(y * z,y * u),y,u)) = K(x,((u \ 1) * z) / ((u \ 1) * (y \ 1))). [para(20(a,2),15584(a,1,2))]. 15586 T(x * K(K(y,z) * u,w),K(z,y) * (u \ x)) = T(K(y,L(z,v5,v6)) * u,w) * (x / (K(y,L(z,v5,v6)) * u)). [hyper(58,a,13756,a(flip),b,15196,a)]. 15588 T(K(x,L(y,z,u)) * w,v5) * (v6 / (K(x,L(y,z,u)) * w)) = K(K(x,y) * w,v5) * T(v6,w \ K(y,x)). [hyper(58,a,15195,a(flip),b,15586,a),flip(a)]. 15589 K(K(x,L(y,z,u)) * w,v5) * T(v6,w \ K(L(y,z,u),x)) = K(K(x,y) * w,v5) * T(v6,w \ K(y,x)). [hyper(58,a,10651,a,b,15588,a)]. 15590 K(K(x,y) * z,u) * T(w,z \ K(L(y,v5,v6),x)) = K(K(x,y) * z,u) * T(w,z \ K(y,x)). [para(13778(a,1),15589(a,1,1))]. 15591 K(K(x,y) * z,u) * T(w,z \ K(y,L(x,v5,v6))) = K(K(x,y) * z,u) * T(w,z \ K(y,x)). [para(8572(a,1),15590(a,1,2,2,2))]. 15593 K(K(x,y) * z,u) * T(w,z \ K(y,x)) = K(K(x,y) * z,u) * T(w,z \ K(x,y)). [para(13777(a,1),15591(a,1,2)),flip(a)]. 15594 T(K(x,y \ K(z,u)) * w,y \ K(z,u)) = K(K(z,u) * y,x) * T(w,y \ K(u,z)). [hyper(280,a,12397,a,b,15593,a)]. 15595 T(K(x,y \ K(z,u)) * w,y \ K(z,u)) = T(y * K(z,u),x) * (w / (y * K(z,u))). [hyper(280,a,15216,a(flip),b,15594,a),flip(a)]. 15596 L(x,y,K(z,u)) * L(x \ (a(y,x,K(u,z)) \ x),w,v5) = x * (a(y,x,K(u,z)) * L(a(y,x,K(u,z)) \ 1,w,v5)). [para(11752(a,1),14514(a,1,1))]. 15597 L(x,y,K(z,u)) * L(x \ (a(z,x,K(u,y)) * x),w,v5) = x * (a(y,x,K(u,z)) * L(a(y,x,K(u,z)) \ 1,w,v5)). [para(10537(a,1),15596(a,1,2,1,2))]. 15598 L(x,y,K(z,u)) * L(x \ (x * a(z,x,K(u,y))),w,v5) = x * (a(y,x,K(u,z)) * L(a(y,x,K(u,z)) \ 1,w,v5)). [para(9725(a,1),15597(a,1,2,1,2))]. 15599 x * (a(y,x,K(z,u)) * L(a(y,x,K(z,u)) \ 1,w,v5)) = L(x,y,K(u,z)) * L(x \ L(x,z,K(u,y)),w,v5). [para(14501(a,1),15598(a,1,2,1,2)),flip(a)]. 15600 x * (a(y,x,K(z,u)) * L(a(y,x,K(z,u)) \ 1,w,v5)) = L(x,y,K(u,z)) * L(a(u,z,K(y,x)),w,v5). [para(11771(a,1),15599(a,2,2,1))]. 15601 x * (a(y,x,K(z,u)) * L(a(y,x,K(z,u)) \ 1,w,v5)) = L(x,y,K(u,z)) * a(u,z,K(y,L(x,w,v5))). [para(9411(a,2),15600(a,2,2))]. 15602 x * (a(y,x,K(z,u)) * L(a(y,x,K(z,u)) \ 1,w,v5)) = L(x,z,K(y,u)) * a(u,z,K(y,L(x,w,v5))). [para(14527(a,1),15601(a,2,1))]. 15603 x * (a(y,z,K(x,u)) * L(a(z,x,K(y,u)) \ 1,w,v5)) = L(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))). [para(14477(a,1),15602(a,1,2,1))]. 15604 x * (a(y,z,K(x,u)) * L(a(u,x,K(y,z)) * 1,w,v5)) = L(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))). [para(10537(a,1),15603(a,1,2,2,1))]. 15605 x * (a(y,z,K(x,u)) * L(a(u,x,K(y,z)),w,v5)) = L(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))). [para(3(a,1),15604(a,1,2,2,1))]. 15606 x * (a(y,z,K(x,u)) * a(u,x,K(y,L(z,w,v5)))) = L(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))). [para(9411(a,2),15605(a,1,2,2))]. 15607 T(x * ((x * y) \ (a(z,u,K(w,v5)) * x)),L(y,x,a(z,u,K(w,v5)))) = L(y,x,a(v5,w,K(u,z))) \ (a(z,u,K(w,v5)) * x). [para(13669(a,1),15176(a,1,1))]. 15608 T(x * ((x * y) \ (a(z,u,K(w,v5)) * x)),y) = L(y,x,a(v5,w,K(u,z))) \ (a(z,u,K(w,v5)) * x). [hyper(13640,a,15607,a)]. 15609 L(x,y,a(z,u,K(w,v5))) \ (a(v5,w,K(u,z)) * y) = ((y * x) \ (a(v5,w,K(u,z)) * y)) * y. [hyper(58,a,14228,a(flip),b,15608,a),flip(a)]. 15610 a(x,y,K(z,(K(u,w) * v5) \ v6)) * K(z,v5 \ (v6 * K(w,u))) = K(z,L(v5 \ (v6 * K(w,u)),x,L(y,v5,K(u,w)))). [para(12517(a,1),14887(a,1,1,3))]. 15612 a(x,y,K(z,K(u,w) * (v5 \ v6))) * K(z,v5 \ (v6 * K(u,w))) = K(z,L(v5 \ (v6 * K(u,w)),x,L(y,v5,K(w,u)))). [para(14804(a,1),15610(a,1,1,3))]. 15613 K(x,L(y,z,u)) * (K(x,y) \ (a(x,y,K(z,L(u,w,v5))) * (a(x,y,K(z,u)) \ K(x,y)))) = L(a(x,y,K(z,u)),w,v5) * K(x,y). [para(9411(a,2),14619(a,1,2,2,1))]. 15614 K(x,L(y,z,u)) * (K(x,y) \ (a(x,y,K(z,L(u,w,v5))) * (a(u,y,K(z,x)) * K(x,y)))) = L(a(x,y,K(z,u)),w,v5) * K(x,y). [para(10537(a,1),15613(a,1,2,2,2))]. 15615 K(x,L(y,z,u)) * (K(x,y) \ (a(x,y,K(z,L(u,w,v5))) * K(x,L(y,u,z)))) = L(a(x,y,K(z,u)),w,v5) * K(x,y). [para(14485(a,1),15614(a,1,2,2,2))]. 15616 K(x,K(y,z)) * ((u * w) \ ((K(x,K(y,z)) * u) * (w * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(13149(a,1),13806(a,1,2,2,2,1))]. 15617 K(x,K(y,z)) * ((u * w) \ (u * ((w * v5) * K(x,K(y,z))))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(13348(a,1),15616(a,1,2,2))]. 15618 K(x,K(y,z)) * ((u * w) \ (u * (w * (v5 * K(x,K(y,z)))))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(13096(a,1),15617(a,1,2,2,2))]. 15619 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L((x * K(u,K(w,v5))) * K(u,K(w,v5)),y,z). [hyper(13909,a,15618,a),flip(a)]. 15620 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x * (K(u,K(w,v5)) * K(u,K(w,v5))),y,z). [para(9027(a,1),15619(a,2,1))]. 15621 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x * 1,y,z). [para(5326(a,1),15620(a,2,1,2))]. 15622 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x,y,z). [para(3(a,1),15621(a,2,1))]. 15624 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [para(13149(a,1),15622(a,1,2))]. 15625 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(3894(a,1),15624(a,1,3))]. 15626 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [para(5899(a,1),15624(a,1,3))]. 15627 L(x,y,T(z,T(u,w)) * v5) = L(x,y,T(z,u) * v5). [para(5926(a,1),15624(a,1,3))]. 15628 L(x,y,z * K(u,T(w,v5))) = L(x,y,z * K(u,w)). [para(12377(a,1),15624(a,1,3))]. 15629 L(x,y,z * (K(u,T(w,v5)) * v6)) = L(x,y,z * (K(u,w) * v6)). [para(13410(a,1),15624(a,1,3))]. 15630 (x / T(L(y,z,K(u,T(w,v5))),v6)) \ (x * K(v6,L(y,z,K(u,T(w,v5))))) = L(y,z,K(u,w)). [hyper(58,a,4400,a,b,15625,a)]. 15631 L(L(x,y,T(z,u)),w,K(y,z)) = L(x,y,T(T(z,u),w)). [hyper(58,a,15283,a(flip),b,15625,a),flip(a)]. 15632 L(x,y,K(z * z,u)) = L(x,y,K(z,u * u)). [para(11061(a,2),15625(a,1,3))]. 15633 L(x / (y * z),u,K(y * z,T(z,w))) = L(x,u,K(y,z)) / (y * z). [para(15625(a,1),11809(a,2,1))]. 15634 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * (y \ u)) \ (x * u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(58,a,6117,a(flip),b,15626,a),flip(a)]. 15635 L(x,y,K(z * (z * (z * z)),u)) = L(x,y,K(z * z,u * u)). [para(7123(a,1),15632(a,1,3,1))]. 15636 L(x,y,K(z,u) * (w * K(v5,T(v6,v7)))) = L(x,y,(K(z,u) * w) * K(v5,v6)). [para(13197(a,1),15628(a,1,3))]. 15637 L(L(x,y,T(z,u)),z,K(w,y)) = L(x,y,T(T(z,u),w)). [hyper(14528,a,15631,a)]. 15638 L(x,y,z * (K(u,w) * T(u,v5))) = L(x,y,z * T(T(u,v5),w)). [para(3680(a,1),15629(a,1,3,2)),flip(a)]. 15639 L(x,y,K(z,u) * (w * T(z,v5))) = L(x,y,w * T(T(z,u),v5)). [hyper(58,a,13710,a,b,15638,a)]. 15640 L(x,x,T(T(y,z),T(u,z)) * w) = L(x,x,w * T(T(y,u),z)). [hyper(58,a,15299,a,b,15639,a)]. 15641 L(x,x,T(T(y,z),u) * w) = L(x,x,w * T(T(y,u),z)). [hyper(58,a,15627,a(flip),b,15640,a)]. 15643 L(x / (y * z),u,K(y,T(z,w))) = L(x,u,K(y,z)) / (y * z). [para(3181(a,1),15633(a,1,3))]. 15645 L(x / (y * z),u,K(y,z)) = L(x,u,K(y,z)) / (y * z). [hyper(58,a,15625,a(flip),b,15643,a)]. 15646 L(x,y,K(z,u) * (w * K(v5,T(v6,v7)))) = L(x,y,K(z,u) * (w * K(v5,v6))). [para(13197(a,1),15636(a,2,3))]. 15647 L(x,y,T(T(z,u),w) * (z \ v5)) = L(x,y,K(z,u) * (v5 * K(z,w))). [hyper(58,a,13840,a(flip),b,15646,a)]. 15649 L(x \ 1,x,T(T(T(y,z),u),w) * (y \ z)) = L(x \ 1,x,K(y,u) * (z * K(y,w))). [hyper(58,a,10872,a,b,15647,a)]. 15650 (x / T(L(y,z,K(u,w)),v5)) \ (x * K(v5,L(y,z,K(u,T(w,v6))))) = L(y,z,K(u,w)). [para(15625(a,1),15630(a,1,1,2,1))]. 15651 (x / L(T(y,z),u,K(w,v5))) \ (x * K(z,L(y,u,K(w,T(v5,v6))))) = L(y,u,K(w,v5)). [para(20(a,2),15650(a,1,1,2))]. 15653 (x / L(T(y,z),u,K(w,v5))) \ (x * K(z,y)) = L(y,u,K(w,v5)). [para(13180(a,1),15651(a,1,2,2))]. 15655 a(x,y,K(a(z,u,(z * u) \ w),L(v5,z,a(w,u,(z * u) \ w)))) * K(v5,x) = K(v5,L(x,y,w \ (z * (u * ((z * u) \ w))))). [para(10534(a,1),14873(a,1,1))]. 15656 a(x,y,a(z,u,K((z * u) \ w,L(v5,z,a(w,u,(z * u) \ w))))) * K(v5,x) = K(v5,L(x,y,w \ (z * (u * ((z * u) \ w))))). [para(9700(a,2),15655(a,1,1,3))]. 15657 K(x,L(y,z,u \ (w * (v5 * ((w * v5) \ u))))) = a(y,z,a(w,v5,K((w * v5) \ u,x))) * K(x,y). [para(10794(a,1),15656(a,1,1,3)),flip(a)]. 15658 K(x,L(y,z,u \ (w * (v5 * ((w * v5) \ u))))) = a(y,z,a(w,v5,K(x,u \ (w * v5)))) * K(x,y). [para(3570(a,1),15657(a,2,1,3,3))]. 15660 K(x,L(y,z,u \ (w * (v5 * ((w * v5) \ u))))) = a(y,z,a(w,v5,K(x,u \ v5))) * K(x,y). [para(10918(a,1),15658(a,2,1,3))]. 15661 K(x,L(y,z,u \ (w * (v5 * ((w * v5) \ u))))) = a(y,z,a(x,w,K(u,v5))) * K(x,y). [para(14507(a,1),15660(a,2,1,3))]. 15662 K(x,L(y,z,u \ (w * (v5 * ((w * v5) \ u))))) = K(x,L(y,z,a(v5,w,u))). [hyper(280,a,10888,a(flip),b,15661,a),flip(a)]. 15663 L(T(x \ 1,L(y,z,u) \ y),T(x,L(y,z,u) \ y),w) * K(v5,x) = L(T(T(x,L(y,z,u) \ y) \ 1,v5),T(x,L(y,z,u) \ y),w). [para(3611(a,2),13217(a,1,1,1))]. 15664 (a(x,y,K(z,u)) * (w \ a(u,y,K(z,x)))) * (a(x,y,K(u,z)) * a(u,y,K(z,x))) = ((a(u,y,K(z,x)) \ 1) * w) \ a(u,y,K(z,x)). [para(10537(a,1),13277(a,1,1))]. 15665 K(x,K(y,z * u)) * K(y,T(x,K(u,w)) / (T(x / u,K(u,w)) * z)) = K(y,T(x,K(u,w)) \ ((T(x,K(u,w)) / z) * u)). [para(12186(a,1),14127(a,1,1))]. 15667 K(x,T(y,K(z,u)) \ ((T(y,K(z,u)) / w) * z)) = K(y,K(x,w * z)) * K(x,T(y,K(z,u)) / ((y / z) * w)). [para(12578(a,1),15665(a,1,2)),flip(a)]. 15668 K(x,T(y,K(z,u)) \ ((T(y,K(z,u)) / w) * z)) = K(y,K(x,w * z)) * K(x,y / ((y / z) * w)). [para(12516(a,1),15667(a,2,2))]. 15670 K(x,T(y,K(z,u)) \ ((T(y,K(z,u)) / w) * z)) = K(x,y \ ((y / w) * z)). [hyper(280,a,14126,a(flip),b,15668,a),flip(a)]. 15672 K(x,y \ ((T(y,K(z,u)) / w) * z)) = K(x,y \ ((y / w) * z)). [hyper(12551,a,15670,a)]. 15673 L(T(T(x,L(y,z,u) \ y) \ 1,w),T(x,L(y,z,u) \ y),v5) = L(T(x \ 1,L(y,z,u) \ y),x,v5) * K(w,x). [para(6464(a,1),15663(a,1,1)),flip(a)]. 15674 L(T(T(x,L(y,z,u) \ y) \ 1,w),T(x,L(y,z,u) \ y),v5) = K(L(y,z,u) \ y,x) * L(T(x \ 1,w),x,v5). [hyper(280,a,6802,a(flip),b,15673,a),flip(a)]. 15676 L(T(T(x,L(y,z,u) \ y) \ 1,w),T(x,L(y,z,u) \ y),v5) = K(x,y \ L(y,z,u)) * L(T(x \ 1,w),x,v5). [para(3570(a,1),15674(a,2,1))]. 15677 L(T(T(x \ 1,L(y,z,u) \ y),w),T(x,L(y,z,u) \ y),v5) = K(x,y \ L(y,z,u)) * L(T(x \ 1,w),x,v5). [para(3611(a,2),15676(a,1,1,1))]. 15678 K(x,y \ L(y,z,u)) * L(T(x \ 1,w),x,v5) = L(T(T(x \ 1,L(y,z,u) \ y),w),x,v5). [hyper(58,a,6469,a(flip),b,15677,a),flip(a)]. 15680 L(T(T(x \ 1,L(y,z,u) \ y),w),x,v5) = a(x,u,K(y,z)) * L(T(x \ 1,w),x,v5). [para(14794(a,1),15678(a,1,1)),flip(a)]. 15681 T(a(x,y,K(z,u)) * L(x \ 1,x,w),v5) = L(T(T(x \ 1,L(z,u,y) \ z),v5),x,w). [hyper(280,a,13584,a,b,15680,a)]. 15682 L(T(T(x \ 1,L(y,z,u) \ y),w),x,v5) = T(L(L(x \ 1,u,K(z,y)),x,v5),w). [para(14054(a,1),15681(a,1,1)),flip(a)]. 15683 L(T(T(x \ 1,L(y,z,u) \ y),w),x,v5) = L(T(L(x \ 1,u,K(z,y)),w),x,v5). [hyper(280,a,20,a,b,15682,a),flip(a)]. 15684 L(T(T(x \ 1,L(y,z,u) \ y),w),x,v5) = L(L(T(x \ 1,w),u,K(z,y)),x,v5). [para(20(a,2),15683(a,2,1))]. 15685 T(x,L(y,z,u) \ y) = (w * L(L(T(x \ 1,v5),u,K(z,y)),x,w)) \ (w * K(v5,x)). [para(15684(a,1),13835(a,1,1,2)),flip(a)]. 15686 T(x,L(y,z,u) \ y) = (w / L(T(x,v5),u,K(z,y))) \ (w * K(v5,x)). [para(11878(a,1),15685(a,2,1))]. 15687 T(x,L(y,z,u) \ y) = L(x,u,K(z,y)). [hyper(280,a,15653,a(flip),b,15686,a),flip(a)]. 15688 K(x,y) * K(x,L(z,u,w) \ z) = x \ T(L(x,w,K(u,z)),y). [para(15687(a,1),13215(a,1,2,1)),flip(a)]. 15689 T((x / y) * L(y,z,u),L(y,z,u) \ y) = (L(x,u,K(z,y)) / y) * L(y,z,u). [para(15687(a,1),15487(a,2,1,1))]. 15690 K(x,L(y,z,u) \ y) = a(x,u,K(z,y)). [hyper(30,a,13590,a(flip),b,15688,a),flip(a)]. 15691 K(x \ L(x,y,z),T(u,w)) = a(u,z,K(y,x)). [hyper(13560,a,15690,a)]. 15692 (L(x,y,z) * a(u,z,K(y,x))) * w = (x * T(x \ L(x,y,z),u)) * w. [para(15690(a,1),3889(a,2,1,2)),flip(a)]. 15693 (x * L(y,z,u)) * a(w,u,K(z,y)) = x * (y * T(y \ L(y,z,u),w)). [para(15690(a,1),9757(a,1,2))]. 15694 K(x,L(y,z,L(u,w,v5) \ u)) = a(x,y,a(z,v5,K(w,u))) * K(x,y). [para(15690(a,1),14498(a,1,1,3)),flip(a)]. 15695 L(x,y,z) * ((x \ u) * a(w,z,K(y,x))) = u * T(u \ (L(x,y,z) * (x \ u)),w). [para(15690(a,1),15214(a,1,2,2))]. 15696 K(x,L(L(y,z,u) \ y,w,L(v5,y,y \ L(y,v6,v7)))) = a(w,v5,a(x,u,K(z,y))) * K(x,L(y,z,u) \ y). [para(15690(a,1),14888(a,2,1,3))]. 15697 K(x,L(y,z,T(u \ L(u,w,v5),v6))) = a(z,y,a(x,v5,K(w,u))) * K(x,y). [para(15691(a,1),14633(a,2,1,3))]. 15698 K(x,L(y,z,L(u,w,v5) \ u)) = K(x,L(y,z,a(u,v5,w))). [hyper(280,a,14625,a(flip),b,15694,a),flip(a)]. 15700 a(x,y,a(z,u,K(w,v5))) * K(z,y) = K(z,L(y,x,a(w,u,v5))). [hyper(58,a,14796,a(flip),b,15698,a)]. 15701 L(x,y,z) * (u * a(w,z,K(y,x))) = (x * T(x \ L(x,y,z),w)) * u. [hyper(58,a,14227,a(flip),b,15692,a)]. 15702 x * (a(y,z,K(u,w)) * L(w,u,z)) = x * (w * T(w \ L(w,u,z),y)). [hyper(14108,a,15693,a)]. 15703 x * L(L(y,z,u),u,K(w,z)) = x * (y * T(y \ L(y,z,u),w)). [para(11773(a,1),15702(a,1,2))]. 15704 x * (y * T(y \ L(y,z,u),w)) = x * L(y,z,T(u,w)). [para(15281(a,1),15703(a,1,2)),flip(a)]. 15705 x * L(T(y \ L(y,z,u),w),y,x) = (x / y) * L(y,z,T(u,w)). [hyper(58,a,9760,a(flip),b,15704,a)]. 15706 (x * T(x \ L(x,y,z),u)) * w = w * L(T(x,w),y,T(z,u)). [hyper(58,a,7613,a(flip),b,15704,a)]. 15707 (x * T(x \ L(x,y,z),u)) * w = L(x,y,T(z,u)) * w. [hyper(280,a,224,a(flip),b,15706,a),flip(a)]. 15708 L(x,y,z) * (u * a(w,z,K(y,x))) = L(x,y,T(z,w)) * u. [hyper(58,a,15701,a,b,15707,a)]. 15709 L(x,y,z) \ L(x,y,T(z,u)) = a(u,z,K(y,x)). [hyper(9749,a,15708,a),flip(a)]. 15710 (L(x,y,z) / a(u,z,K(y,x))) * (a(u,z,K(y,x)) * a(u,z,K(y,x))) = L(x,y,T(z,u)). [hyper(7158,a,15708,a)]. 15711 x / L(a(y,z,K(u,w)),L(w,u,z),x) = (x / L(w,u,T(z,y))) * L(w,u,z). [para(15709(a,1),15483(a,1,2,1))]. 15712 K(x,L(y,z,T(u \ L(u,w,v5),v6))) = K(x,L(y,z,a(w,v5,u))). [hyper(280,a,15700,a(flip),b,15697,a),flip(a)]. 15713 K(x,L(y,L(z,u,w) \ z,v5)) = K(x,L(y,v5,a(u,w,z))). [hyper(58,a,15430,a(flip),b,15712,a)]. 15714 K(x,L(y,z,u \ ((u / w) * L(w,v5,v6)))) = K(x,L(y,z,a(v5,v6,w))). [hyper(58,a,14607,a,b,15713,a)]. 15715 K(x,L(y,z,a(u,w,v5 \ 1))) = K(x,L(y,z,a(v5,w,u))). [hyper(58,a,15463,a(flip),b,15714,a),flip(a)]. 15716 K(x,L(y,z,a(u,w,w))) = K(x,y). [hyper(15084,a,15715,a),flip(a)]. 15717 K(x,L(y,z,a(u \ 1,w,v5))) = K(x,L(y,z,a(v5,w,u))). [para(378(a,1),15715(a,1,2,3,3)),flip(a)]. 15718 K(x,L(y,a(z,u,u),w)) = K(x,y). [hyper(15427,a,15716,a)]. 15719 x / a(y,z,K(u,L(w,L(w,u,z),x))) = (x / L(w,u,T(z,y))) * L(w,u,z). [para(9411(a,2),15711(a,1,2))]. 15720 x / a(y,z,K(u,L(w,w,L(x,u,z)))) = (x / L(w,u,T(z,y))) * L(w,u,z). [para(14877(a,1),15719(a,1,2,3))]. 15721 (x / L(y,z,T(u,w))) * L(y,z,u) = x / a(w,u,K(z,y)). [para(9387(a,1),15720(a,1,2,3)),flip(a)]. 15722 (x / L(y,z,T(u,w))) * L(y,z,u) = a(y,u,K(z,w)) * x. [hyper(280,a,13274,a(flip),b,15721,a),flip(a)]. 15724 T((x / y) * L(y,z,u),L(y,z,u) \ y) = L(y,z,u) * (y \ x). [hyper(280,a,15535,a(flip),b,15689,a),flip(a)]. 15725 T((x / y) * L(y,z,u),x) = L(y,z,u) * (y \ x). [hyper(58,a,10782,a(flip),b,15724,a)]. 15726 (L(x,y,z) * (x \ u)) / u = u \ ((u / x) * L(x,y,z)). [hyper(112,a,15725,a(flip),b,898,a(flip))]. 15727 x / (L(y,z,u) * (y \ x)) = ((x / y) * L(y,z,u)) \ x. [para(15725(a,1),428(a,1,2))]. 15728 T(((x / y) * L(y,z,u)) \ x,x) = (L(y,z,u) * (y \ x)) \ x. [para(15725(a,1),432(a,2,1))]. 15729 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) = T((y * (x \ 1)) * L(L(x,x \ 1,y),z,u),y). [para(389(a,1),15725(a,1,1,1)),flip(a)]. 15730 T((x / L(y,z,u)) * L(y,z,T(u,w)),x) = L(L(y,z,u),z,K(u,w)) * (L(y,z,u) \ x). [para(15280(a,1),15725(a,1,1,2))]. 15731 x / (y * (L(y,z,u) \ x)) = x \ ((x / y) * L(y,z,u)). [hyper(58,a,692,a(flip),b,15726,a)]. 15732 x / (L(y,z,u) * (y \ x)) = x \ ((x / L(y,z,u)) * y). [hyper(280,a,693,a(flip),b,15727,a),flip(a)]. 15733 x / (y * (L(y,K(z,u),K(u,z) * x) \ x)) = x \ L(x,K(u,z),K(z,u) * y). [para(11095(a,1),15731(a,2,2))]. 15734 L(x \ T((y * x) / L(y,z,u),y),x,y) = (y * x) / (L(y,z,u) * (y \ (y * x))). [hyper(280,a,574,a,b,15732,a)]. 15735 1 \ ((1 / L(x,y,z)) * x) = 1 / (x \ L(x,y,z)). [para(1659(a,1),15732(a,1,2)),flip(a)]. 15736 (x * y) \ (((x * y) / L(y,z,u)) * y) = (x * y) / T(L(y,z,u) * x,y). [para(1936(a,1),15732(a,1,2)),flip(a)]. 15737 L(x \ ((x / L(y,z,u)) * y),x,y) * x = x * ((L(y,z,u) * x) \ (y * x)). [para(15732(a,1),2438(a,1,1,1))]. 15738 T(((x / y) * L(y,z,u)) \ x,x) = x \ (y * (L(y,z,u) \ x)). [hyper(280,a,370,a(flip),b,15728,a),flip(a)]. 15739 T(x \ ((x / L(y,z,u)) * y),x) = x \ (y * (L(y,z,u) \ x)). [para(693(a,1),15738(a,1,1))]. 15740 T((x / L(y,z,u)) * y,x) = y * (L(y,z,u) \ x). [hyper(987,a,15739,a)]. 15741 T((x / L(y,z,T(u,w))) * L(y,z,u),x) = L(y,z,u) * (L(L(y,z,u),z,K(u,w)) \ x). [para(15280(a,1),15740(a,1,1,1,2))]. 15742 (x * y) / T(L(y,z,u) * x,y) = (x * L(y,z,u)) \ (x * y). [hyper(1394,a,15736,a),flip(a)]. 15743 K(x,T(L(x,y,z) * u,u * x)) * ((u * x) / (L(x,y,z) * u)) = (u * L(x,y,z)) \ (u * x). [hyper(5736,a,15742,a)]. 15744 x / (y * (K(z,u) * ((y * K(z,u)) \ x))) = x \ L(x,K(u,z),K(z,u) * y). [para(11144(a,1),15733(a,1,2,2))]. 15745 a(x,K(y,z),(x * K(y,z)) \ u) = u \ L(u,K(z,y),K(y,z) * x). [hyper(58,a,11446,a(flip),b,15744,a)]. 15746 a(x,K(y,z),(x * K(y,z)) \ u) = a(u,K(z,y),K(y,z) * x). [hyper(280,a,14247,a(flip),b,15745,a),flip(a)]. 15747 x / a(x,K(y,z),K(z,y) * u) = u * (K(y,z) \ ((u * K(z,y)) \ x)). [para(15746(a,1),4311(a,1,2))]. 15748 a(x,K(y,z),K(z,y) * u) \ x = u * (K(y,z) \ ((u * K(z,y)) \ x)). [hyper(14561,a,15747,a)]. 15749 a(x,K(y,z),K(z,y) * u) \ x = u * (K(z,y) * ((u * K(z,y)) \ x)). [para(4271(a,1),15748(a,2,2))]. 15750 x * T(x \ (L(y,z,u) * (y \ x)),w) = L(y,z,T(u,w)) * (y \ x). [hyper(58,a,15708,a(flip),b,15695,a),flip(a)]. 15751 x \ (x / T(x \ (L(y,z,u) * (y \ x)),w)) = (L(y,z,T(u,w)) * (y \ x)) \ x. [para(15750(a,1),304(a,1,1)),flip(a)]. 15752 x \ (x / T(x \ (L(y,z,u) * (y \ x)),w)) = x \ (y * (L(y,z,T(u,w)) \ x)). [hyper(280,a,370,a(flip),b,15751,a),flip(a)]. 15753 x \ (x * T((L(y,z,u) * (y \ x)) \ x,w)) = x \ (y * (L(y,z,T(u,w)) \ x)). [para(4881(a,1),15752(a,1,2))]. 15754 x \ (x * T(x \ (y * (L(y,z,u) \ x)),w)) = x \ (y * (L(y,z,T(u,w)) \ x)). [para(370(a,1),15753(a,1,2,2,1))]. 15755 T(x \ (y * (L(y,z,u) \ x)),w) = x \ (y * (L(y,z,T(u,w)) \ x)). [hyper(267,a,15754,a)]. 15758 L(x \ T((y * x) / L(y,z,u),y),x,y) = (y * x) / (L(y,z,u) * x). [para(4(a,1),15734(a,2,2,2))]. 15759 L(x \ T(y * (x / L(y,z,u)),y),x,y) = (y * x) / (L(y,z,u) * x). [para(1149(a,1),15758(a,1,1,2,1))]. 15760 L(x \ ((x / L(y,z,u)) * y),x,y) = (y * x) / (L(y,z,u) * x). [para(897(a,1),15759(a,1,1,2))]. 15761 (a(x,y,K(z,u)) * L(x,z,y)) * (a(u,y,K(z,x)) * a(u,y,K(z,x))) = L(x,z,T(y,u)). [para(13274(a,1),15710(a,1,1))]. 15762 T(x * a(y,z,K(u,w)),x) = L(L(y,z,u),z,K(u,w)) * (L(y,z,u) \ x). [para(15346(a,1),15730(a,1,1))]. 15763 L(L(x,y,z),y,K(z,u)) * (L(x,y,z) \ w) = a(x,y,K(z,u)) * w. [hyper(1021,a,15762,a),flip(a)]. 15764 L(x,y,T(z,u)) * (L(x,y,z) \ w) = a(x,y,K(z,u)) * w. [para(15280(a,1),15763(a,1,1))]. 15765 (L(x,y,z) \ u) / (u \ (a(x,y,K(z,w)) * u)) = L(x,y,T(z,w)) \ u. [para(15764(a,1),15398(a,1,2,2))]. 15766 (L(x,y,z) \ u) / T(a(x,y,K(z,w)),u) = L(x,y,T(z,w)) \ u. [para(17(a,2),15765(a,1,2))]. 15767 (L(x,y,z) \ u) / a(x,y,K(z,w)) = L(x,y,T(z,w)) \ u. [para(13150(a,1),15766(a,1,2))]. 15768 a(x,y,K(z,u)) * (L(u,y,z) \ w) = L(u,y,T(z,x)) \ w. [hyper(13276,a,15767,a)]. 15770 a(x,y,K(z,u)) * (L(z,y,x) \ w) = L(z,y,T(x,u)) \ w. [hyper(10957,a,15768,a)]. 15771 a(x,y,K(z,u)) \ (a(x,y,K(z,u)) / (L(z,y,x) \ w)) = (L(z,y,T(x,u)) \ w) \ a(x,y,K(z,u)). [para(15770(a,1),304(a,1,1)),flip(a)]. 15772 T(a(x,y,K(z,u)) * w,w) = L(x,z,y) * (L(L(x,z,y),z,K(y,u)) \ w). [para(15722(a,1),15741(a,1,1))]. 15773 L(x,y,z) * (L(L(x,y,z),y,K(z,u)) \ w) = a(x,z,K(y,u)) * w. [hyper(13288,a,15772,a),flip(a)]. 15774 L(x,y,z) * (L(x,y,T(z,u)) \ w) = a(x,z,K(y,u)) * w. [para(15280(a,1),15773(a,1,2,1))]. 15775 L(L(x,y,K(z,u)),u,z) * (a(y,z,K(u,x)) * a(y,z,K(u,x))) = L(x,u,T(z,y)). [para(14445(a,1),15761(a,1,1))]. 15776 L(x,y,T(z,u \ z)) * (a(u,z,K(y,x)) * a(u,z,K(y,x))) = L(x,y,T(z,u)). [para(15309(a,1),15775(a,1,1))]. 15777 K(x,T(L(x,y,z) * u,u)) * ((u * x) / (L(x,y,z) * u)) = (u * L(x,y,z)) \ (u * x). [para(5768(a,1),15743(a,1,1))]. 15778 K(x,y * L(x,z,u)) * ((y * x) / (L(x,z,u) * y)) = (y * L(x,z,u)) \ (y * x). [para(5453(a,1),15777(a,1,1))]. 15779 K(x,y) * ((y * x) / (L(x,z,u) * y)) = (y * L(x,z,u)) \ (y * x). [para(4597(a,1),15778(a,1,1))]. 15780 (x * y) / (L(x,z,u) * y) = (y * L(x,z,u)) \ (y * x). [hyper(10880,a,15779,a)]. 15782 ((x * y) * L(z,y,x)) \ ((x * y) * z) = a(x,y,T(z,x * y)). [hyper(14116,a,15780,a),flip(a)]. 15783 L(x \ ((x / L(y,z,u)) * y),x,y) = (x * L(y,z,u)) \ (x * y). [hyper(58,a,15760,a,b,15780,a)]. 15784 (x * y) / L(T(L(x,z,u),y),y,x) = ((y * L(x,z,u)) \ (y * x)) * y. [para(15780(a,1),1391(a,2,1))]. 15785 (x * (y * z)) \ ((x * y) * z) = a(x,y,T(z,x * y)). [para(86(a,1),15782(a,1,1))]. 15786 a(x,y,T(z,x * y)) = a(x,y,z). [hyper(823,a,15785,a),flip(a)]. 15787 a(x,y,T(z,x * y)) != u | a(x,y,z) = u. [para(15785(a,1),823(a,1))]. 15788 a(x,y,z) = (L(z,y,x) * (x * y)) \ (z * (x * y)). [hyper(58,a,2054,a,b,15786,a),flip(a)]. 15789 a(x,T(y,x),T(z,y * x)) = a(x,T(y,x),z). [para(101(a,1),15786(a,1,3,2))]. 15790 a(x,y,(x * y) \ ((x * y) / z)) = a(x,y,(x * y) \ (z \ (x * y))). [para(989(a,1),15786(a,1,3)),flip(a)]. 15791 a(T(x,y),y,T(z,y * x)) = a(T(x,y),y,z). [para(5625(a,1),15786(a,1,3))]. 15793 (L(x,y,z) * (z * y)) \ (x * (z * y)) != u | a(z,y,x) = u. [para(2054(a,2),15787(a,1))]. 15794 (L(x,y,z) * (y * z)) \ (x * (y * z)) = a(z,T(y,z),x). [hyper(58,a,6790,a,b,15789,a)]. 15795 a(x,T(y,x),z / (y * x)) = a(x,T(y,x),(y * x) \ z). [para(103(a,1),15789(a,1,3)),flip(a)]. 15796 (L(x,y,z) * T(z * y,y)) \ (x * T(z * y,y)) = a(T(z,y),y,x). [hyper(58,a,7264,a,b,15791,a)]. 15798 a(x,T(y,x),z / (y * x)) = a(x,y,(x * y) \ z). [hyper(280,a,4981,a(flip),b,15795,a),flip(a)]. 15799 ((x * (T(y,x) * (z / (y * x)))) \ z) * K(y * x,z) = a(x,y,(x * y) \ z). [hyper(58,a,10768,a,b,15798,a)]. 15800 ((x * L(y,z,u)) \ (x * y)) * x = x * ((L(y,z,u) * x) \ (y * x)). [para(15783(a,1),15737(a,1,1))]. 15801 L(a(x,y,(x * y) \ (z \ (x * y))) \ 1,a(x,y,(x * y) \ ((x * y) / z)),(x * y) / z) = ((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))). [para(15790(a,1),1561(a,1,1,1))]. 15802 ((x * L(y,z,u)) \ (x * y)) * x = (y * x) / L(T(y,x),z,u). [para(1163(a,1),15784(a,1,2)),flip(a)]. 15803 ((x * L(y,z,u)) \ (x * y)) * x = y * (x / L(T(y,x),z,u)). [hyper(280,a,1164,a(flip),b,15802,a),flip(a)]. 15805 ((x * L(y,z,u)) \ (x * y)) * x = y * (L(y,z,u) \ x). [para(442(a,1),15803(a,2,2))]. 15806 x * ((L(y,z,u) * x) \ (y * x)) = y * (L(y,z,u) \ x). [hyper(58,a,15800,a(flip),b,15805,a)]. 15807 (L(x,y,z) * u) \ (x * u) = u \ (x * (L(x,y,z) \ u)). [hyper(111,a,15805,a(flip),b,15800,a(flip)),flip(a)]. 15809 x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,x). [para(15788(a,2),15806(a,1,2)),flip(a)]. 15810 a(x,y,z) = ((x * (y * z)) / z) \ (x * y). [hyper(11394,a,15809,a(flip)),flip(a)]. 15811 ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y). [para(5(a,1),15810(a,2,1,1,2)),flip(a)]. 15812 (x / (y \ (z \ x))) \ (z * y) = a(z,y,y \ (z \ x)). [para(63(a,1),15810(a,2,1,1)),flip(a)]. 15813 ((x * (y * z)) / z) / (x * y) = (x * y) / ((x * y) * a(x,y,z)). [para(15810(a,2),460(a,1,2,2)),flip(a)]. 15814 (((x * y) * (z \ (y * x))) / x) \ (((x * y) / z) * y) = a((x * y) / z,y,x). [para(10943(a,1),15810(a,2,1,1)),flip(a)]. 15815 (((x * y) * z) / (y * z)) \ (a(x,y,z) * x) = a(a(x,y,z),x,y * z). [para(11448(a,1),15810(a,2,1,1)),flip(a)]. 15816 (((x / y) * y) / (z \ y)) \ ((x / y) * z) = a(y \ x,z,z \ y). [hyper(280,a,11730,a(flip),b,15811,a),flip(a)]. 15817 a(x \ (y * z),z,z \ x) = a(y,z,z \ x). [hyper(58,a,11858,a,b,15811,a)]. 15818 a(x,y,y \ x) = a(y,y,x). [hyper(58,a,13895,a(flip),b,15811,a),flip(a)]. 15819 (x / (y \ (z \ x))) \ (z * y) = a(z,y,y \ x). [para(818(a,1),15811(a,1,1))]. 15820 ((x \ ((1 \ 1) * y)) \ 1) \ ((y \ 1) * x) = a(y \ 1,x,x \ 1). [para(532(a,1),15811(a,1,1))]. 15821 a(x,y,y \ 1) = a(y,y,x). [hyper(58,a,11672,a,b,15818,a)]. 15822 (x * y) * (y \ (x \ 1)) = a(y,y,x). [hyper(11611,a,15821,a)]. 15823 a(x,x \ 1,y) = a(x,x,y \ 1). [hyper(7099,a,15821,a)]. 15824 a(x \ 1,x,y) = a(x,x,y \ 1). [hyper(7080,a,15821,a)]. 15825 (x * y) * ((y \ 1) / x) = a(x,x,y). [hyper(58,a,11603,a,b,15821,a)]. 15826 (x * y) \ L(x * y,y,x) = a(y,y,x). [hyper(58,a,8726,a,b,15821,a)]. 15827 a(x,y,y \ 1) = a(y,y,T(x,z)). [hyper(58,a,15370,a(flip),b,15821,a)]. 15828 (x * y) \ a(x,x,y) = (y \ 1) / x. [hyper(111,a,15821,a(flip),b,11603,a)]. 15829 a(x,x,y \ 1) != z | a(x,x \ 1,y) = z. [para(15821(a,1),7099(a,1))]. 15830 a(x,x,y) * (x \ ((x \ 1) \ y)) = y. [para(15821(a,1),8751(a,1,1))]. 15831 L(x,y,a(z,z,x)) = x. [para(15821(a,1),11110(a,1,3))]. 15832 L(x,y * z,a(y,z,z \ 1)) = L(x,a(z,z,y),y * z). [para(15821(a,1),11553(a,1,2)),flip(a)]. 15833 K(x,y * a(z,z \ 1,u)) = K(x,a(z,z,u) \ y). [para(15821(a,1),11876(a,1,2,1)),flip(a)]. 15834 ((x \ 1) * y) \ a(x,x,y) = (x \ y) \ 1. [para(15821(a,1),15390(a,1,2))]. 15835 (x * y) * a(z,z,x) = x * (y * a(z,z,x)). [para(15831(a,1),11074(a,1,1)),flip(a)]. 15836 x \ (y * (L(y,y \ 1,x \ 1) \ x)) = a(y,y,x \ 1). [hyper(58,a,11709,a,b,15823,a)]. 15837 x * L(x \ 1,x,y) = a(x,x,y \ 1). [hyper(58,a,8729,a,b,15823,a)]. 15838 x * (y \ (y / x)) = a(x,x,y \ 1). [hyper(58,a,8727,a,b,15823,a)]. 15839 L(x,y,y \ 1) \ x = a(y,y,x \ 1). [hyper(58,a,7048,a,b,15823,a)]. 15840 (x / y) \ a(y,y,x \ 1) = y * (x \ 1). [hyper(111,a,15823,a(flip),b,7079,a)]. 15841 (x * y) * a(y,y,x \ 1) = x / (y \ 1). [para(15823(a,1),7078(a,1,2))]. 15842 a(x,x,y \ 1) \ L(a(y,x,x \ 1),z,u) = a(y,x,x \ 1) * L(a(y,x,x \ 1),z,u). [para(15823(a,1),7071(a,1,1))]. 15843 a(x,x \ 1,L(y,z,u)) = L(a(x,x,y \ 1),z,u). [para(15823(a,1),8209(a,2,1))]. 15844 x * a(x,x,y \ 1) = L(x,x \ 1,y). [para(15823(a,1),8776(a,1,2))]. 15845 x * (L(x \ 1,x,y) * L(x \ 1,z,u)) = a(x,x,y \ 1) * L(x \ 1,z,u). [para(15823(a,1),8741(a,2,1))]. 15846 a(x,x,y \ 1) * (x \ L(x,z,u)) = L(x \ 1,x,y) * L(x,z,u). [para(15823(a,1),8792(a,1,1))]. 15847 (x \ a(y,y,z \ 1)) \ 1 = (x \ 1) \ a(z,y,y \ 1). [para(15823(a,1),11873(a,1,1,2))]. 15848 (a(x,x,y \ 1) * z) * a(y,x,x \ 1) = L(z,a(y,x,x \ 1),a(x,x \ 1,y)). [para(15823(a,1),12095(a,1,1,1))]. 15850 a(x,y,y \ 1) != z | a(y,y,x) = z. [para(15827(a,2),15787(a,1))]. 15851 (x * y) \ a(y,y,x) = y \ (x \ 1). [hyper(115,a,15822,a)]. 15852 a(x,x \ 1,y) != z | a(x,x,y \ 1) = z. [para(2146(a,1),15850(a,1))]. 15853 (x * y) \ L(x * y,y,x) != z | a(y,y,x) = z. [para(8726(a,2),15850(a,1))]. 15854 L(x * y,y,x) = (x / y) * (y * y). [hyper(33,a,13873,a,b,15826,a),flip(a)]. 15855 L(x * y,z,a(y,y,x)) = x * y. [para(15826(a,1),11084(a,1,3))]. 15856 ((x * y) * z) * a(y,y,x) = (x * y) * (z * a(y,y,x)). [para(15855(a,1),11074(a,1,1)),flip(a)]. 15857 T((x * x) * y,x) / (y * x) = x * a(x,x,y). [para(15855(a,1),14014(a,1,2))]. 15858 L(x * y,y,x) = x * L(y,y,x). [hyper(280,a,7162,a(flip),b,15854,a),flip(a)]. 15859 x * (x * T(x * x,L(y * z,z,y) * (L(z,z,y) * y))) = T(x * (x * (x * x)),y * L(z,z,y)). [para(15858(a,2),14073(a,1,2,2,2,1))]. 15860 L(x \ 1,x,y \ 1) = x \ a(x,x,y). [hyper(111,a,7680,a(flip),b,15837,a),flip(a)]. 15861 T(x \ a(x,x,y),y \ 1) = (y \ 1) \ (x \ (y \ 1)). [para(15860(a,1),1057(a,1,1))]. 15863 K(x,L(y \ ((z \ u) \ 1),a(z,z,u),(z \ 1) * u)) = K(x,(((z \ 1) * u) * y) \ a(z,z,u)). [para(15834(a,1),14709(a,1,2,1,2))]. 15864 x * a(x,x,y) = L(x,x,y). [hyper(15307,a,15857,a),flip(a)]. 15865 x \ L(x,x,y) = a(x,x,y). [hyper(111,a,13879,a(flip),b,15857,a(flip))]. 15867 L(x,x \ 1,y) = L(x,x,y \ 1). [hyper(58,a,15844,a(flip),b,15864,a)]. 15869 x * (y * (T(x,y) * a(x,x,z))) = T(x,y) * (y * L(x,x,z)). [para(15864(a,1),4489(a,1,2,2)),flip(a)]. 15870 (x \ 1) \ a(x,x,y) = L(x,x,y). [hyper(111,a,15865,a(flip),b,1014,a)]. 15871 ((x \ 1) * (y \ 1)) \ ((x \ 1) * ((y * y) \ 1)) = L(y \ 1,(y \ 1) \ 1,x). [hyper(280,a,524,a,b,15867,a)]. 15872 L(x,x \ 1,y \ 1) = L(x,x,y). [hyper(280,a,2100,a(flip),b,15867,a),flip(a)]. 15873 (x \ 1) \ a(x,x,T(T(y,z),u) * w) = L(x,x,w * T(T(y,u),z)). [hyper(280,a,15641,a(flip),b,15870,a),flip(a)]. 15874 L(x \ y,x \ y,x) = (y \ x) \ 1. [hyper(58,a,3994,a(flip),b,15872,a),flip(a)]. 15875 L(x \ 1,x,y) * L(x \ 1,z,u) = L(x,x,y) \ L(x \ 1,z,u). [para(15872(a,1),7369(a,1,1)),flip(a)]. 15876 K(x,y * a(z,z,u \ 1)) = K(x,a(z,z,u) \ y). [para(15823(a,1),15833(a,1,2,2))]. 15877 a(x,x,L(y,z,u) \ 1) = L(a(x,x,y \ 1),z,u). [hyper(15852,a,15843,a)]. 15878 a(x,y,y \ (x \ z)) = a(x,y,y \ z). [hyper(58,a,15819,a(flip),b,15812,a),flip(a)]. 15879 (x \ y) \ (x * (L(x,z,z \ y) \ (x \ y))) = (((y / z) * (z * x)) / x) \ (x * (x \ y)). [para(10962(a,1),15807(a,1,1)),flip(a)]. 15880 L(x,a(y,y,z),z * y) = L(x,z * y,a(y,y,z)). [para(15821(a,1),15832(a,1,3)),flip(a)]. 15881 ((x * y) \ a(y,y,x)) / L((x * y) \ 1,a(y,y,x),x * y) = T(a(y,y,x),x * y). [para(15880(a,2),4785(a,2,2)),flip(a)]. 15882 x \ (y * (L(y,y,x) \ x)) = a(y,y,x \ 1). [para(15872(a,1),15836(a,1,2,2,1))]. 15883 (x \ a(y,y,z \ 1)) \ 1 = (x \ 1) \ a(y,y,z). [para(15821(a,1),15847(a,2,2))]. 15884 x * (y * T(x * a(x,x,z),y)) = T(x,y) * (y * L(x,x,z)). [para(10476(a,2),15869(a,1,2,2))]. 15885 T(x,y) * (y * L(x,x,z)) = x * (y * T(L(x,x,z),y)). [para(15864(a,1),15884(a,1,2,2,1)),flip(a)]. 15886 T(x,y) * (y * L(x,x,z)) = x * (L(x,x,z) * y). [para(101(a,1),15885(a,2,2))]. 15887 ((T(K(x,y * y),z) * (z * L(K(x,y * y),K(x,y * y),u))) / w) \ (w \ ((w * K(x * x,y)) * (L(K(x,y * y),K(x,y * y),u) * z))) = L(w,K(x * x,y),L(K(x,y * y),K(x,y * y),u) * z). [para(15886(a,2),11386(a,1,1,1))]. 15888 (x * y) \ (a(x,y,z) \ (x * y)) = ((x * (y * z)) / z) / (x * y). [hyper(280,a,13740,a(flip),b,15813,a)]. 15889 (x / (y \ z)) \ ((x / z) * y) = a(z \ x,y,y \ z). [para(7(a,1),15816(a,1,1,1))]. 15891 ((x \ ((1 \ 1) * y)) \ 1) \ ((y \ 1) * x) = a(x,x \ 1,y). [hyper(280,a,2146,a(flip),b,15820,a),flip(a)]. 15892 ((x \ (1 * y)) \ 1) \ ((y \ 1) * x) = a(x,x \ 1,y). [para(60(a,1),15891(a,1,1,1,2,1))]. 15893 ((x \ y) \ 1) \ ((y \ 1) * x) = a(x,x \ 1,y). [para(2(a,1),15892(a,1,1,1,2))]. 15895 a(L(x,y,z) \ ((x \ 1) * u),u,u \ L(x,y,z)) = a(u,u \ 1,x). [hyper(58,a,11894,a,b,15893,a)]. 15896 (x * y) \ (a(x,y,z) \ (x * y)) = (x * y) \ ((x * (y * z)) / z). [hyper(280,a,11530,a(flip),b,15888,a),flip(a)]. 15897 ((x / y) * y) \ (((x / y) * (y * z)) / z) = x \ (a(x / y,y,z) \ ((x / y) * y)). [para(7(a,1),15896(a,1,1)),flip(a)]. 15898 (K(x,T(y,z)) * u) \ (a(u,K(x,T(T(y,u),z)),w) \ (u * K(x,T(T(y,u),z)))) = (u * K(x,T(T(y,u),z))) \ ((u * (K(x,T(T(y,u),z)) * w)) / w). [para(3782(a,1),15896(a,1,1))]. 15899 (x \ R(x,y \ 1,z \ 1)) * (x * (L(x,x,u) \ L(x \ 1,y,z))) = L(x \ 1,x,u). [para(15875(a,1),7731(a,1,2,2))]. 15900 a(x \ 1,y,y \ L(x,z,u)) = a(y,y \ 1,x). [hyper(58,a,15817,a(flip),b,15895,a)]. 15901 (x \ L(x,y,z)) \ (((x \ 1) * u) * (u \ L(x,y,z))) = a(u,u \ 1,x). [hyper(58,a,1323,a,b,15900,a)]. 15902 L(x,y,z) \ (a(x,y,z) * x) = a(a(x,y,z),x,y * z). [para(11075(a,2),15815(a,1,1))]. 15903 (L(x,y,z) \ a(x,y,z)) * x = a(a(x,y,z),x,y * z). [hyper(1448,a,15902,a)]. 15905 x \ (((x / y) * (y * z)) / z) = a(z,y,(z * y) \ x). [hyper(58,a,14307,a(flip),b,15799,a)]. 15906 (((x * y) * (z \ (y * x))) / x) \ (((x * y) / z) * y) = a(z \ (x * y),y,x). [hyper(280,a,14164,a(flip),b,15814,a),flip(a)]. 15907 ((x \ 1) * (y \ 1)) \ ((x \ 1) * ((y * y) \ 1)) = L(y \ 1,y,x). [hyper(280,a,2095,a(flip),b,15871,a),flip(a)]. 15908 ((x * y) \ 1) \ ((y \ 1) * ((x * x) \ 1)) = L(x \ 1,x,y). [para(512(a,1),15907(a,1,1))]. 15909 ((x * y) \ 1) \ (((x * x) * y) \ 1) = L(x \ 1,x,y). [para(512(a,1),15908(a,1,2))]. 15910 (((x * x) * y) / (x * y)) \ 1 = L(x \ 1,x,y). [hyper(58,a,537,a(flip),b,15909,a)]. 15911 L(x \ 1,x,y) = L(x,x,y) \ 1. [para(11075(a,2),15910(a,1,1)),flip(a)]. 15912 L(x \ 1,x,y) * L(x,z,u) = L(x,x,y) \ L(x,z,u). [para(15911(a,2),1576(a,1,1))]. 15913 L(x \ 1,x,y) * K(z,u) = L(x,x,y) \ K(z,u). [para(15911(a,2),10497(a,1,1))]. 15914 L(x \ 1,x,T(T(y,z),u) * w) = L(x,x,w * T(T(y,u),z)) \ 1. [para(15641(a,1),15911(a,2,1))]. 15915 ((x * y) / (y \ z)) \ (((x * y) / z) * y) = a(z \ (x * y),y,x). [para(11336(a,1),15906(a,1,1))]. 15916 a(x \ (y * z),z,z \ x) = a(x \ (y * z),z,y). [hyper(58,a,15889,a(flip),b,15915,a)]. 15917 a(x \ (y * z),z,y) = a(y,z,z \ x). [hyper(58,a,15817,a(flip),b,15916,a),flip(a)]. 15918 a((x * y) \ (z \ (x * y)),y,x) = a(x,y,y \ (z * (x * y))). [para(479(a,1),15917(a,1,1))]. 15919 a(x,x,y \ 1) * L(x \ 1,z,u) = x * (L(x,x,y) \ L(x \ 1,z,u)). [para(15875(a,1),15845(a,1,2)),flip(a)]. 15920 L(x,a(y,z,z \ 1),a(z,z \ 1,y)) = (a(z,z,y \ 1) * x) * a(z,z,y). [para(15821(a,1),15848(a,1,2)),flip(a)]. 15921 (a(x,x,y \ 1) * z) * a(x,x,y) = L(z,a(x,x,y),a(x,x \ 1,y)). [para(15821(a,1),15920(a,1,2)),flip(a)]. 15922 (a(x,x,y \ 1) * z) * a(x,x,y) = L(z,a(x,x,y),a(x,x,y \ 1)). [para(15823(a,1),15921(a,2,3))]. 15923 a(x,x,y) * (a(x,x,y \ 1) * z) = L(z,a(x,x,y),a(x,x,y \ 1)). [hyper(10465,a,15922,a)]. 15924 a(x,x,y) * (z * a(x,x,y \ 1)) = L(z,a(x,x,y),a(x,x,y \ 1)). [para(10464(a,1),15923(a,1,2))]. 15925 (x \ (y \ 1)) / L((y * x) \ 1,a(x,x,y),y * x) = T(a(x,x,y),y * x). [para(15851(a,1),15881(a,1,1))]. 15926 T(a(x,x,y),y * x) = (x \ (y \ 1)) / ((y * x) \ 1). [para(7023(a,1),15925(a,1,2)),flip(a)]. 15927 ((x * y) \ 1) \ (y \ (x \ 1)) = a(y,y,x). [hyper(3761,a,15926,a)]. 15929 (x \ y) \ (x * (L(x,z,z \ y) \ (x \ y))) = (x \ ((x * z) * (z \ y))) \ (x * (x \ y)). [para(11142(a,1),15879(a,2,1))]. 15930 (x \ y) \ (x * (L(x,z,z \ y) \ (x \ y))) = (x \ ((x * z) * (z \ y))) \ y. [para(5(a,1),15929(a,2,2))]. 15931 a(x,y,y \ 1) * L(a(x,y,y \ 1),z,u) = a(y,y,x \ 1) \ L(a(y,y,x),z,u). [para(15821(a,1),15842(a,1,2,1)),flip(a)]. 15932 a(x,x,y \ 1) \ L(a(x,x,y),z,u) = a(x,x,y) * L(a(y,x,x \ 1),z,u). [para(15821(a,1),15931(a,1,1)),flip(a)]. 15933 a(x,x,y \ 1) \ L(a(x,x,y),z,u) = a(x,x,y) * L(a(x,x,y),z,u). [para(15821(a,1),15932(a,2,2,1))]. 15934 a(x,x,y \ 1) = a(x,x,y) \ 1. [hyper(1101,a,15933,a),flip(a)]. 15935 a(x,x,y \ 1) * (z \ 1) = (z * a(x,x,y)) \ 1. [para(15934(a,2),512(a,1,1))]. 15936 a(x,x,y \ 1) * K(z,u) = a(x,x,y) \ K(z,u). [para(15934(a,2),10497(a,1,1))]. 15937 K(x,a(y,y,z \ 1) \ u) = K(x,a(y,y,z) * u). [para(15934(a,2),10520(a,1,2,1))]. 15938 K(x,L(y \ ((z \ u) \ 1),u \ z,a(z,z,u))) = K(x,(((z \ 1) * u) * y) \ a(z,z,u)). [hyper(58,a,14913,a(flip),b,15863,a)]. 15939 K(x,(((y \ 1) * z) * u) \ a(y,y,z)) = K(x,u \ ((y \ z) \ 1)). [hyper(15084,a,15938,a),flip(a)]. 15941 K(x,(((y \ 1) * z) * u) \ a(y,y,z)) = K((y \ z) * u,x). [hyper(280,a,10557,a(flip),b,15939,a),flip(a)]. 15942 K(((x \ 1) * y) * z,u) = K((x \ y) * z,u). [hyper(58,a,10472,a(flip),b,15941,a)]. 15943 K(x,T(y \ ((z \ 1) * u),w)) = K((u \ z) * y,T(x,w)). [hyper(10934,a,15942,a)]. 15944 K(x,y \ ((z \ 1) * u)) = K((u \ z) * y,x). [hyper(10796,a,15942,a)]. 15946 K((x \ y) * z,T(u,y * x)) = K(z * ((x \ 1) * y),u). [hyper(58,a,12412,a(flip),b,15942,a),flip(a)]. 15947 K((x \ (y \ (z \ 1))) * u,w) != v5 | K(w,u \ ((z / (y \ 1)) * x)) = v5. [para(15942(a,1),10798(a,1))]. 15948 K((x \ (y \ 1)) * z,u) = K(u,z \ (y * x)). [hyper(58,a,3207,a(flip),b,15944,a),flip(a)]. 15949 K(x,y \ (z / (u \ 1))) = K(x,y \ (z * u)). [hyper(10797,a,15948,a)]. 15950 K(x,y \ (z / T(u \ 1,w))) = K(x,y \ (z * T(u,w))). [para(3611(a,2),15949(a,1,2,2,2))]. 15951 K((x \ y) * z,T(u,y * x)) = K(u,((y \ 1) * x) / z). [hyper(12136,a,15943,a),flip(a)]. 15952 K(x * ((y \ 1) * z),u) = K(x * (y \ z),u). [hyper(12135,a,15946,a),flip(a)]. 15953 K(x * (y \ (z \ (u \ 1))),w) = K(w,((u / (z \ 1)) * y) / x). [hyper(10799,a,15952,a),flip(a)]. 15954 K(x,((y \ 1) * z) / u) = K(u * (z \ y),x). [hyper(12135,a,15951,a),flip(a)]. 15955 K(x * (y \ (z \ 1)),u) = K(u,(z * y) / x). [para(378(a,1),15954(a,1,2,1,1)),flip(a)]. 15956 K(x,L((y / (z \ 1)) / u,w,v5)) = K(L(x,w,v5),(y * z) / u). [hyper(11000,a,15955,a)]. 15957 K(x,L((y / (z \ 1)) / u,w,v5)) = K(x,L((y * z) / u,w,v5)). [hyper(280,a,9511,a(flip),b,15956,a),flip(a)]. 15958 K(x,L((y * z) / (u / w),w \ u,w)) = K(x,((y / (z \ 1)) * w) / u). [para(11342(a,1),15957(a,1,2)),flip(a)]. 15959 K(x,((y / (z \ 1)) * u) / w) = K(x,((y * z) * u) / w). [para(11342(a,1),15958(a,1,2)),flip(a)]. 15960 K(x * (y \ (z \ (u \ 1))),w) = K(w,((u * z) * y) / x). [hyper(58,a,15953,a,b,15959,a)]. 15961 K(T(x,y * (z * u)),((y * z) * u) / w) = K((u \ (z \ (y \ 1))) * w,x). [hyper(13750,a,15960,a),flip(a)]. 15962 K(x,T(((y * z) * u) / w,y * (z * u))) = K((u \ (z \ (y \ 1))) * w,x). [hyper(4739,a,15961,a)]. 15963 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) = T(y * ((x \ 1) * L(x,z,u)),y). [para(559(a,1),15729(a,2,1))]. 15964 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) = T(y * (x \ L(x,z,u)),y). [para(1014(a,1),15963(a,2,1,2))]. 15965 L(L(x,x \ 1,y),z,u) * (L(x,x \ 1,y) \ y) = (x \ L(x,z,u)) * y. [hyper(280,a,897,a(flip),b,15964,a),flip(a)]. 15966 T(x * (y \ L(T(y,x),z,u)),y) = (y \ L(y,z,u)) * x. [hyper(8279,a,15965,a)]. 15967 x * (T(y,x) \ L(T(y,x),z,u)) = (y \ L(y,z,u)) * x. [hyper(58,a,12106,a(flip),b,15966,a)]. 15968 T(x,y) \ L(T(x,y),z,u) = T(x \ L(x,z,u),y). [hyper(226,a,15966,a(flip),b,12106,a(flip)),flip(a)]. 15971 (x / T(y,z)) * L(T(y,z),u,w) = x * L(T(y \ L(y,u,w),z),y,x). [para(15968(a,1),9768(a,1,2,1)),flip(a)]. 15972 1 \ ((1 / L(T(x,y),z,u)) * T(x,y)) = 1 / T(x \ L(x,z,u),y). [para(15968(a,1),15735(a,2,2))]. 15973 1 \ ((1 / L(T(x,y),z,u)) * T(x,y)) = T(x \ L(x,z,u),y) \ 1. [hyper(280,a,376,a(flip),b,15972,a),flip(a)]. 15974 1 \ ((1 / L(T(x,y),z,u)) * T(x,y)) = T((x \ L(x,z,u)) \ 1,y). [hyper(280,a,3611,a,b,15973,a),flip(a)]. 15975 1 \ ((1 / L(T(x,y),z,u)) * T(x,y)) = T(L(x,z,u) \ x,y). [para(1263(a,1),15974(a,2,1))]. 15976 1 \ (L(T(x,y),z,u) \ T(x,y)) = T(L(x,z,u) \ x,y). [para(1077(a,1),15975(a,1,2))]. 15977 L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,y). [hyper(154,a,15976,a)]. 15978 L(T(L(x,y,z) \ x,u),L(x,y,z),u) = (L(x,y,z) * u) \ (x * u). [para(15977(a,1),6789(a,1,1))]. 15979 a(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),K(u,w)) * L(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),u) = (L(x,y,z) * T(u,w)) \ (x * T(u,w)). [hyper(15322,a,15978,a)]. 15980 (x / T(y,z)) * L(T(y,z),u,w) = (x / y) * L(y,u,T(w,z)). [hyper(280,a,15705,a(flip),b,15971,a),flip(a)]. 15981 T(x,y) * ((z * L(T(x,y),u,w)) \ T(x,y)) = ((z / x) * L(x,u,T(w,y))) \ T(x,y). [para(15980(a,1),2209(a,1,1)),flip(a)]. 15982 T(x,y) * ((z * L(T(x,y),u,w)) \ T(x,y)) = x * ((z * L(x,u,T(w,y))) \ T(x,y)). [hyper(280,a,10893,a(flip),b,15981,a),flip(a)]. 15983 K(x,L(x * ((y * L(x,z,T(u,w))) \ T(x,w)),v5,v6)) = K((T(x,w) \ y) * L(T(x,w),z,u),L(x,v5,v6)). [para(15982(a,1),9581(a,1,2,1))]. 15984 a(x,y,K(z,u)) \ ((L(z,y,x) \ w) \ a(x,y,K(z,u))) = (L(z,y,T(x,u)) \ w) \ a(x,y,K(z,u)). [para(13144(a,1),15771(a,1,2))]. 15985 a(x,y,K(z,u)) * ((L(z,y,u) \ w) \ a(u,y,K(z,x))) = (L(z,y,T(u,x)) \ w) \ a(u,y,K(z,x)). [hyper(10850,a,15984,a)]. 15986 (L(x,y,T(z,u)) \ w) \ a(z,y,K(x,u)) = (L(x,y,z) \ w) \ 1. [hyper(13698,a,15985,a),flip(a)]. 15988 K((T(x,y) \ z) * L(T(x,y),u,w),L(x,v5,v6)) = K(x,L((z * L(x,u,T(w,y))) \ T(x,y),v5,v6)). [hyper(58,a,9577,a(flip),b,15983,a),flip(a)]. 15989 K((T(x,y) \ z) * L(T(x,y),u,w),L(x,v5,v6)) = K(z * L(x,u,T(w,y)),L(x,v5,v6)). [hyper(280,a,9593,a(flip),b,15988,a),flip(a)]. 15991 K((T(x,y) \ z) * L(T(x,y),u,w),L(x,v5,v6)) = K(z,L(x,v5,v6)). [hyper(280,a,9442,a(flip),b,15989,a),flip(a)]. 15993 K(x * L(T(y,z),u,w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(58,a,15097,a(flip),b,15991,a)]. 15995 a(x,y,K(z,L(u * L(T(y,w),v5,v6),v7,v8))) * K(u,y) = K(u,L(y,x,L(z,v7,v8))). [hyper(58,a,14862,a,b,15993,a)]. 15997 K(x,L(L(y,z,u) \ y,w,L(v5,y,y \ L(y,v6,v7)))) = a(w,v5,a(x,u,K(z,y))) * a(x,u,K(z,y)). [para(15690(a,1),15696(a,2,2))]. 15998 K(x,L(L(y,z,u) \ y,w,L(v5,y,y \ L(y,v6,v7)))) = a(x,u,K(z,y)) * a(w,v5,a(x,u,K(z,y))). [hyper(280,a,13146,a,b,15997,a),flip(a)]. 15999 K(x,L(L(y,z,u) \ y,w,L(v5,y,y \ L(y,v6,v7)))) = a(x,u,K(z,L(y,w,v5))). [hyper(280,a,15135,a(flip),b,15998,a),flip(a)]. 16000 K(x,L(L(y,z,u) \ y,w,L(v5,y,L(y,v6,v7)))) = a(x,u,K(z,L(y,w,v5))). [hyper(58,a,14947,a(flip),b,15999,a)]. 16001 K(x,L(L(y,z,u) \ y,w,v5)) = a(x,u,K(z,L(y,w,v5))). [hyper(14886,a,16000,a)]. 16002 K(x \ L(x,y,z),L(u,w,v5)) = a(u,z,K(y,L(x,w,v5))). [hyper(9530,a,16001,a)]. 16003 K(x,L(y,z \ L(z,u,w),L(v5,v6,v7))) = a(x,y,a(v5,w,K(u,L(z,v6,v7)))) * K(x,y). [para(16002(a,1),14498(a,1,1,3)),flip(a)]. 16004 K(x,L(y,z \ L(z,u,w),L(v5,v6,v7))) = K(x,L(y,v5,a(L(z,v6,v7),w,u))). [hyper(280,a,14625,a(flip),b,16003,a),flip(a)]. 16005 K(x,L(y,z,a(L(u,w,u),v5,v6))) = K(x,L(y,u \ L(u,v6,v5),z)). [hyper(58,a,14884,a(flip),b,16004,a),flip(a)]. 16006 K(x,L(y,z \ L(z,u,w),v5)) = K(x,L(y,v5,a(z,w,u))). [para(542(a,1),16005(a,1,2,3,1)),flip(a)]. 16007 K(x,L(y,z * L(z \ 1,u,w),v5)) = K(x,L(y,v5,a(z \ 1,w,u))). [para(1013(a,1),16006(a,1,2,2))]. 16008 K(x,L(y,z * L(z \ 1,u,w),v5)) = K(x,L(y,v5,a(u,w,z))). [hyper(280,a,15717,a(flip),b,16007,a),flip(a)]. 16009 ((a(x,y,K(z,u)) \ 1) * w) \ a(x,y,K(z,u)) = (w \ 1) * (a(u,y,K(x,z)) * a(x,y,K(z,u))). [para(13696(a,1),15664(a,1,1)),flip(a)]. 16011 ((a(x,y,K(z,u)) \ 1) * w) \ a(x,y,K(z,u)) = (w \ 1) * (K(x,u) * K(u,L(L(x,z,y),z,y))). [para(15144(a,1),16009(a,2,2))]. 16012 L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),K(w,v5))) = u * K(w,K(v5,L(x,y,z) \ (x * u))). [hyper(13335,a,13333,a),flip(a)]. 16014 L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),K(w,v5))) = u * K(w,K(v5,x * (L(x,y,z) \ u))). [para(1916(a,1),16012(a,2,2,2,2))]. 16015 K(x,L(y,z,(z * (K(y,T(x,z)) * u)) / u)) * ((z * (T(K(y,x),z) * u)) / u) = z * (((K(y,x) * z) * u) \ (z * (T(K(y,x),z) * u))). [para(3631(a,2),14857(a,1,1,2,3,1,2,1))]. 16016 K(x,L(y,z,u \ (z * (K(y,T(x,z)) * u)))) * ((z * (T(K(y,x),z) * u)) / u) = z * (((K(y,x) * z) * u) \ (z * (T(K(y,x),z) * u))). [para(13239(a,1),16015(a,1,1))]. 16017 K(x,L(y,z,u \ (K(y,T(x,z)) * u))) * ((z * (T(K(y,x),z) * u)) / u) = z * (((K(y,x) * z) * u) \ (z * (T(K(y,x),z) * u))). [para(14871(a,1),16016(a,1,1))]. 16018 K(x,L(y,z,T(K(y,T(x,z)),u))) * ((z * (T(K(y,x),z) * u)) / u) = z * (((K(y,x) * z) * u) \ (z * (T(K(y,x),z) * u))). [para(17(a,2),16017(a,1,1,2,3))]. 16019 K(x,L(y,z,K(y,T(T(x,z),u)))) * ((z * (T(K(y,x),z) * u)) / u) = z * (((K(y,x) * z) * u) \ (z * (T(K(y,x),z) * u))). [para(3631(a,2),16018(a,1,1,2,3))]. 16020 x * (((K(y,z) * x) * u) \ (x * (T(K(y,z),x) * u))) = K(z,y) * ((x * (T(K(y,z),x) * u)) / u). [para(4196(a,1),16019(a,1,1,2)),flip(a)]. 16021 x * (((K(y,z) * x) * u) \ (x * (T(K(y,z),x) * u))) = K(z,y) * ((x * (K(y,T(z,x)) * u)) / u). [para(3631(a,2),16020(a,2,2,1,2,1))]. 16023 x * (((K(y,z) * x) * u) \ (x * (T(K(y,z),x) * u))) = K(z,y) * (u / (K(T(z,x),y) * (x \ u))). [para(4307(a,1),16021(a,2,2))]. 16024 x * (((K(y,z) * x) * u) \ (x * (T(K(y,z),x) * u))) = K(z,y) * (u / (K(z,T(y,x)) * (x \ u))). [para(3638(a,1),16023(a,2,2,2,1))]. 16025 x * (((K(y,z) * x) * u) \ (x * (K(y,T(z,x)) * u))) = K(z,y) * (u / (K(z,T(y,x)) * (x \ u))). [para(3631(a,2),16024(a,1,2,2,2,1))]. 16026 x * ((K(y,z) * x) \ (u / (K(z,T(y,x)) * (x \ u)))) = K(z,y) * (u / (K(z,T(y,x)) * (x \ u))). [para(7508(a,1),16025(a,1,2))]. 16027 x * ((K(y,z) * x) \ (u \ ((u * K(y,z)) * x))) = K(z,y) * (u / (K(z,T(y,x)) * (x \ u))). [para(11929(a,1),16026(a,1,2,2))]. 16028 (x * y) * (((z / (x * y)) / a(u,w,K(v5,v6))) * a(v6,w,K(u,v5))) = x * (y * ((z / T(x,y)) / y)). [para(13147(a,1),13311(a,1,2,2)),flip(a)]. 16029 x * (y * ((z / T(x,y)) / y)) = (x * y) * (z / (x * y)). [para(7(a,1),16028(a,1,2)),flip(a)]. 16031 x * (y * ((z / T(x,y)) / y)) = T(z,(x * y) \ 1). [hyper(280,a,3515,a,b,16029,a),flip(a)]. 16032 x * (y * ((z / T(x,y)) / y)) != u | T(z,y \ (x \ 1)) = u. [para(16031(a,2),10822(a,1))]. 16033 ((x * (y \ 1)) * ((z * K(u,K(w,v5))) * T(K(u,K(w,v5)) * (z \ ((x * (y \ 1)) \ v6)),v7))) \ v6 = K(v7,((x * (y \ K(u,K(w,v5)))) * z) \ v6). [para(13808(a,1),13739(a,1,1,2,2,1))]. 16034 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),T(y,u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(9512(a,1),15634(a,1,3))]. 16035 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),y)) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(58,a,15625,a(flip),b,16034,a)]. 16037 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(9511(a,1),16035(a,1,3))]. 16038 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),(x * K(z,u)) * y))) = L(a(x,K(z,u),y),x * (K(z,u) * y),K(u,L(z,y,x))). [para(3647(a,2),16037(a,2,2)),flip(a)]. 16039 ((x * (y \ 1)) * (z * (T(K(u,K(w,v5)) * (z \ ((x * (y \ 1)) \ v6)),v7) * K(u,K(w,v5))))) \ v6 = K(v7,((x * (y \ K(u,K(w,v5)))) * z) \ v6). [para(13413(a,1),16033(a,1,1,2))]. 16040 ((x * (y \ 1)) * (z * T(K(u,K(w,v5)) * ((z \ ((x * (y \ 1)) \ v6)) * K(u,K(w,v5))),v7))) \ v6 = K(v7,((x * (y \ K(u,K(w,v5)))) * z) \ v6). [para(13338(a,2),16039(a,1,1,2,2))]. 16041 K(x,((y * (z \ K(u,K(w,v5)))) * v6) \ v7) = ((y * (z \ 1)) * (v6 * T(v6 \ ((y * (z \ 1)) \ v7),x))) \ v7. [para(12275(a,1),16040(a,1,1,2,2,1)),flip(a)]. 16042 K(x,((y * (z \ K(u,K(w,v5)))) * v6) \ v7) = K(x,((y * (z \ 1)) * v6) \ v7). [hyper(280,a,4477,a(flip),b,16041,a),flip(a)]. 16044 (K(x,y) * (z \ 1)) * (z \ a(y,K(y,x) \ (z \ 1),K(z * K(y,x),x))) = K(y,x) * ((K(y,x) \ (z \ 1)) * T(K(y,x) \ (z \ 1),K(y,x))). [para(4271(a,1),11854(a,1,1))]. 16045 K(x \ (y \ 1),L(T(z,y * T(u / y,w)),y \ 1,(y \ 1) \ u)) = K(z,(T((y \ 1) \ u,w) * x) / (T((y \ 1) \ u,w) * (y \ 1))). [hyper(13245,a,12852,a)]. 16046 K(x \ (y \ 1),L(T(z,y * T(u / y,w)),y \ 1,u)) = K(z,(T((y \ 1) \ u,w) * x) / (T((y \ 1) \ u,w) * (y \ 1))). [hyper(14728,a,16045,a)]. 16048 K(x \ (y \ 1),L(T(z,y * T(u / y,w)),u,y)) = K(z,(T((y \ 1) \ u,w) * x) / (T((y \ 1) \ u,w) * (y \ 1))). [hyper(14691,a,16046,a)]. 16049 K(x \ (y \ 1),L(T(z,y * (u / y)),u,y)) = K(z,(T((y \ 1) \ u,w) * x) / (T((y \ 1) \ u,w) * (y \ 1))). [hyper(12754,a,16048,a)]. 16050 K(x,(T((y \ 1) \ z,u) * w) / (T((y \ 1) \ z,u) * (y \ 1))) = K(w \ (y \ 1),L(T(x,T(z,y)),z,y)). [para(5614(a,1),16049(a,1,2,1)),flip(a)]. 16051 K(x,(T((y \ 1) \ z,u) * w) / (T((y \ 1) \ z,u) * (y \ 1))) = K(w \ (y \ 1),L(T(x,z),z,y)). [hyper(280,a,12370,a(flip),b,16050,a),flip(a)]. 16053 K(x,(T((y \ 1) \ z,u) * w) / (T((y \ 1) \ z,u) * (y \ 1))) = K(T(x,z),L(y * w,z,y)). [hyper(280,a,10680,a(flip),b,16051,a),flip(a)]. 16054 K(x,(T((y \ 1) \ z,u) * w) / (T((y \ 1) \ z,u) * (y \ 1))) = K(x,T(L(y * w,z,y),z)). [hyper(280,a,3638,a(flip),b,16053,a),flip(a)]. 16055 K(x,(T((y \ 1) \ z,u) * w) / (T((y \ 1) \ z,u) * (y \ 1))) = K(x,L(T(y * w,z),z,y)). [para(20(a,2),16054(a,2,2))]. 16056 L(L(x,y,z) * (L(x,y,z) \ a(z,y,K(x,u))),w,v5) \ L(x,y,T(z,u \ z)) = (L(x,y,z) / L(a(z,y,K(x,u)),w,v5)) * a(z,y,K(x,u)). [para(13144(a,1),15328(a,1,1,1,2))]. 16057 a(T(L(x,y,z) \ x,u),L(x,y,z),K(u,w)) * L(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),u) = (L(x,y,z) * T(u,w)) \ (x * T(u,w)). [para(13354(a,1),15979(a,1,1,1))]. 16059 a(T(L(x,y,z) \ x,u),x,K(u,L(w,y,z))) * L(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),u) = (L(x,y,z) * T(u,w)) \ (x * T(u,w)). [para(14757(a,1),16057(a,1,1))]. 16060 a(L(x,y,z) \ x,x,K(u,L(w,y,z))) * L(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),u) = (L(x,y,z) * T(u,w)) \ (x * T(u,w)). [para(13419(a,1),16059(a,1,1))]. 16062 a(x,L(y,z,u),K(L(x,z,u),w)) * L(T(L(x,z,u) \ x,T(w,y)),L(x,z,u),w) = (L(x,z,u) * T(w,y)) \ (x * T(w,y)). [para(14689(a,1),16060(a,1,1))]. 16063 a(x,L(y,z,u),K(x,L(w,z,u))) * L(T(L(x,z,u) \ x,T(w,y)),L(x,z,u),w) = (L(x,z,u) * T(w,y)) \ (x * T(w,y)). [para(9511(a,1),16062(a,1,1,3))]. 16064 (L(x,y,z) * T(u,w)) \ (x * T(u,w)) = 1 * L(T(L(x,y,z) \ x,T(u,w)),L(x,y,z),u). [para(5013(a,1),16063(a,1,1)),flip(a)]. 16066 (L(x,y,z) * T(u,w)) \ (x * T(u,w)) = 1 * L(T(L(x,y,z) \ x,u),L(x,y,z),u). [para(13354(a,1),16064(a,2,2,1))]. 16068 (L(x,y,z) * T(u,w)) \ (x * T(u,w)) = 1 * ((L(x,y,z) * u) \ (x * u)). [para(15978(a,1),16066(a,2,2))]. 16069 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(T(z,y),y,x). [hyper(110,a,16068,a(flip),b,15796,a(flip))]. 16070 (L(x,y,z) * T(u,w)) \ (x * T(u,w)) != v5 | (L(x,y,z) * u) \ (x * u) = v5. [para(16068(a,2),113(a,1))]. 16071 a(T(x,y),y,z) = a(x,y,z). [hyper(15793,a,16069,a),flip(a)]. 16072 a(T(x,T(y,x)),T(y,x),T(z,y * x)) = a(x,T(y,x),z). [hyper(280,a,15789,a(flip),b,16071,a),flip(a)]. 16073 a(x / y,y,z) = a(y \ x,y,z). [para(103(a,1),16071(a,1,1)),flip(a)]. 16074 ((x / y) * y) \ (((x / y) * (y * z)) / z) = x \ (a(y \ x,y,z) \ ((x / y) * y)). [para(16073(a,1),15897(a,2,2,1))]. 16075 a(T(x,y),T(y,x),T(z,y * x)) = a(x,T(y,x),z). [hyper(14166,a,16072,a)]. 16076 a(x,y,T(z,y * x)) = a(x,T(y,x),z). [hyper(4866,a,16075,a)]. 16077 ((x / y) * y) \ (((x / y) * (y * z)) / z) = x \ (a(y \ x,y,z) \ x). [para(7(a,1),16074(a,2,2,2))]. 16078 x \ (a(y \ x,y,z) \ x) = x \ (((x / y) * (y * z)) / z). [para(7(a,1),16077(a,1,1)),flip(a)]. 16079 a(x,y,(x * y) \ z) = z \ (a(y \ z,y,x) \ z). [hyper(280,a,15905,a(flip),b,16078,a)]. 16080 (K(x,y) / z) * (z \ a(y,K(y,x) \ (z \ 1),K(z * K(y,x),x))) = K(y,x) * ((K(y,x) \ (z \ 1)) * T(K(y,x) \ (z \ 1),K(y,x))). [para(10496(a,1),16044(a,1,1))]. 16081 (K(x,y) / z) * (z \ a(y,K(x,y) * (z \ 1),K(z * K(y,x),x))) = K(y,x) * ((K(y,x) \ (z \ 1)) * T(K(y,x) \ (z \ 1),K(y,x))). [para(4271(a,1),16080(a,1,2,2,2))]. 16082 K(x,y) * ((K(x,y) \ (z \ 1)) * T(K(x,y) \ (z \ 1),K(x,y))) = (K(y,x) / z) * (z \ a(x,K(y,x) / z,K(z * K(x,y),y))). [para(10496(a,1),16081(a,1,2,2,2)),flip(a)]. 16083 K(x,y) * ((K(x,y) \ (z \ 1)) * T(K(x,y) \ (z \ 1),K(x,y))) = (K(y,x) / z) * (z \ a(x,K(y,x) / z,K(z,y))). [para(4111(a,1),16082(a,2,2,2,3))]. 16085 K(x,y) * ((K(x,y) \ (z \ 1)) * T(K(x,y) \ (z \ 1),K(x,y))) = (K(y,x) / z) * (z \ a(x,z \ K(y,x),K(z,y))). [para(14575(a,1),16083(a,2,2,2))]. 16086 K(x,y) * ((K(x,y) \ (z \ 1)) * T(K(x,y) \ (z \ 1),K(x,y))) = (K(y,x) / z) * (z \ a(z,x,K(K(y,x),y))). [para(14506(a,1),16085(a,2,2,2))]. 16087 K(x,y) * ((K(x,y) \ (z \ 1)) * T(K(x,y) \ (z \ 1),K(x,y))) = (K(y,x) / z) * (z \ 1). [para(13117(a,1),16086(a,2,2,2))]. 16088 K(x,y) * ((K(x,y) \ (z \ 1)) * T(K(x,y) \ (z \ 1),K(x,y))) = z \ (z \ K(y,x)). [hyper(280,a,10831,a(flip),b,16087,a),flip(a)]. 16090 K(x,y) * ((K(y,x) * (z \ 1)) * T(K(x,y) \ (z \ 1),K(x,y))) = z \ (z \ K(y,x)). [para(4271(a,1),16088(a,1,2,1))]. 16091 K(x,y) * ((K(y,x) / z) * T(K(x,y) \ (z \ 1),K(x,y))) = z \ (z \ K(y,x)). [para(10496(a,1),16090(a,1,2,1))]. 16092 K(x,y) * ((K(y,x) / z) * T(K(y,x) * (z \ 1),K(x,y))) = z \ (z \ K(y,x)). [para(4271(a,1),16091(a,1,2,2,1))]. 16093 K(x,y) * ((K(y,x) / z) * T(K(y,x) / z,K(x,y))) = z \ (z \ K(y,x)). [para(10496(a,1),16092(a,1,2,2,1))]. 16094 K(x,y) * ((K(y,x) / z) * (z \ K(y,x))) = z \ (z \ K(y,x)). [para(5361(a,1),16093(a,1,2,2))]. 16095 K(x,y) * (K(y,x) * ((z * z) \ K(y,x))) = z \ (z \ K(y,x)). [para(28(a,1),16094(a,1,2))]. 16096 (x * x) \ K(y,z) = x \ (x \ K(y,z)). [hyper(4301,a,16095,a)]. 16098 T(x \ (x \ K(x * x,y)),y) = (x * x) \ 1. [para(16096(a,1),3574(a,1,1))]. 16099 T(x \ (x \ K(x * x,y)),y) = x \ (x \ 1). [hyper(280,a,1046,a(flip),b,16098,a),flip(a)]. 16100 L(L(x,y,z) * (L(x,y,T(z,u)) \ 1),w,v5) \ L(x,y,T(z,u \ z)) = (L(x,y,z) / L(a(z,y,K(x,u)),w,v5)) * a(z,y,K(x,u)). [para(15323(a,1),16056(a,1,1,1,2))]. 16101 (L(x,y,z) / L(a(z,y,K(x,u)),w,v5)) * a(z,y,K(x,u)) = L(a(x,z,K(y,u)) * 1,w,v5) \ L(x,y,T(z,u \ z)). [para(15774(a,1),16100(a,1,1,1)),flip(a)]. 16102 (L(x,y,z) / L(a(z,y,K(x,u)),w,v5)) * a(z,y,K(x,u)) = L(a(x,z,K(y,u)),w,v5) \ L(x,y,T(z,u \ z)). [para(3(a,1),16101(a,2,1,1))]. 16103 (L(x,y,z) / L(a(z,y,K(x,u)),w,v5)) * a(z,y,K(x,u)) = a(x,z,K(y,L(u,w,v5))) \ L(x,y,T(z,u \ z)). [para(9411(a,2),16102(a,2,1))]. 16104 (L(x,y,z) / L(a(z,y,K(x,u)),w,v5)) * a(z,y,K(x,u)) = a(L(u,w,v5),z,K(y,x)) * L(x,y,T(z,u \ z)). [hyper(280,a,10537,a(flip),b,16103,a),flip(a)]. 16105 (L(x,y,z) / L(a(z,y,K(x,u)),w,v5)) * a(z,y,K(x,u)) = a(u,z,K(y,L(x,w,v5))) * L(x,y,T(z,u \ z)). [para(10923(a,1),16104(a,2,1))]. 16106 (L(x,y,z) / a(z,y,K(x,L(u,w,v5)))) * a(z,y,K(x,u)) = a(u,z,K(y,L(x,w,v5))) * L(x,y,T(z,u \ z)). [para(9411(a,2),16105(a,1,1,2))]. 16107 (a(L(x,y,z),u,K(w,v5)) * L(w,u,v5)) * a(v5,u,K(w,x)) = a(x,v5,K(u,L(w,y,z))) * L(w,u,T(v5,x \ v5)). [para(13274(a,1),16106(a,1,1))]. 16108 (a(x,y,K(z,L(u,w,v5))) * L(z,y,u)) * a(u,y,K(z,x)) = a(x,u,K(y,L(z,w,v5))) * L(z,y,T(u,x \ u)). [para(10923(a,1),16107(a,1,1,1))]. 16109 a(x,y,K(z,L(u,w,v5))) * L(u,z,T(y,x \ y)) = L(u,z,T(y,L(x,w,v5))) * a(y,z,K(u,x)). [para(15325(a,1),16108(a,1,1)),flip(a)]. 16110 a(x,y,K(z,L(u,w,v5))) * L(u,z,T(y,x \ y)) = L(u,z,T(T(y,x \ y),L(x,w,v5))). [hyper(280,a,15405,a(flip),b,16109,a),flip(a)]. 16111 a(x,y,K(z,L(u,w,v5))) * L(u,z,T(y,x \ y)) = L(u,z,L(y,w,K(v5,x))). [para(11778(a,1),16110(a,2,3))]. 16112 K(x,y) * L((z * x) * (x \ (z \ x)),x \ (z \ x),z * x) = L(T((z * x) * (x \ (z \ x)),y),x \ (z \ x),x * z). [para(480(a,1),11492(a,1,1,1))]. 16113 L(T((x * y) * (y \ (x \ y)),z),y \ (x \ y),y * x) = K(y,z) * L(y,y \ (x \ y),x * y). [para(480(a,1),16112(a,1,2,1)),flip(a)]. 16114 L(T((x * y) * (y \ (x \ y)),z),y \ (x \ y),y * x) = K(y,z) * L(y,x,x \ y). [para(11138(a,1),16113(a,2,2))]. 16115 L(T(x,y),x \ (z \ x),x * z) = K(x,y) * L(x,z,z \ x). [para(480(a,1),16114(a,1,1,1))]. 16116 K(x,y \ x) * L(x,y,y \ x) = x \ ((x * y) * (x / y)). [hyper(58,a,6759,a(flip),b,16115,a),flip(a)]. 16117 L(T(x,y \ x),y,y \ x) = x \ ((x * y) * (x / y)). [hyper(58,a,11564,a(flip),b,16116,a)]. 16118 x \ ((x * y) * (x / y)) = y * (x * (y \ 1)). [hyper(58,a,8787,a(flip),b,16117,a),flip(a)]. 16119 ((x \ (y \ x)) \ 1) * (y \ x) = y * (x * (y \ 1)). [hyper(58,a,8881,a,b,16118,a)]. 16120 (((x / T(y,z)) * K(u,w)) * T(y,z)) \ ((x / y) * (K(u,w) * y)) = ((x / T(y,z)) * K(u,w)) \ (((x / y) * (K(u,w) * y)) / T(y,z)). [para(14993(a,1),14994(a,1,2,1)),flip(a)]. 16121 (((x / T(y,z)) * K(u,w)) * T(y,z)) \ ((x / y) * (K(u,w) * y)) = ((x / T(y,z)) * K(u,w)) \ (x / (K(w,u) * T(y,z))). [para(14992(a,1),16120(a,2,2))]. 16123 a(x / (K(y,T(z,u)) * (w * K(z,T(y,u)))),K(y,T(z,u)),w * K(z,T(y,u))) = (((x * K(z,T(y,u))) * T(w,K(y,z))) / (w * K(z,T(y,u)))) \ x. [para(4339(a,1),12568(a,2,1,1,1))]. 16124 L(a(x,y,(x * y) \ (z \ (x * y))) \ 1,a(x,y,(x * y) \ (z \ (x * y))),(x * y) / z) = ((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))). [para(15790(a,1),15801(a,1,2))]. 16125 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),(x * K(z,u)) * y))) = a(x,K(z,u),y). [hyper(280,a,14588,a(flip),b,16038,a),flip(a)]. 16127 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),x * y))) = a(x,K(z,u),y). [para(8071(a,1),16125(a,1,2,2))]. 16128 (x * y) \ (((x * K(z,u)) * y) * K(u,(x * (z \ y)) \ (x * y))) = a(x,K(z,u),y). [para(375(a,1),16127(a,1,2,2,2))]. 16130 (x * y) \ (((x * K(z,u)) * y) * K(L(u,y,x),T(z,y))) = a(x,K(z,u),y). [para(9512(a,1),16128(a,1,2,2))]. 16131 (x * y) \ (((K(z,u) * x) * y) * K(L(T(u,x),y,x),T(z,y))) = a(x,K(z,T(u,x)),y). [para(3647(a,1),16130(a,1,2,1,1))]. 16132 (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,y),x))) = a(x,K(z,T(u,x)),y). [para(3668(a,1),16131(a,1,2,2))]. 16133 (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,y),x))) = a(x,K(z,u),y). [hyper(280,a,14169,a(flip),b,16132,a),flip(a)]. 16135 (x * y) \ (((K(z,u) * x) * y) * K(u,L(T(T(z,y),x),y,x))) = a(x,K(z,u),y). [para(9511(a,1),16133(a,1,2,2))]. 16136 (x * y) \ ((K(z,u) * x) * (y * K(u,T(T(z,y),x)))) = a(x,K(z,u),y). [para(15416(a,1),16135(a,1,2))]. 16137 (x * y) \ ((K(z,u) * x) * (K(u,T(z,x)) * y)) = a(x,K(z,u),y). [para(3782(a,1),16136(a,1,2,2))]. 16138 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),y). [para(4840(a,1),16137(a,1,2))]. 16139 a(x,K(y,z),K(z,y) * u) = a(x,K(y,z),u). [hyper(4292,a,16138,a)]. 16140 ((K(x,y) * (K(y,x) * z)) * u) \ (R(u,K(x,y),K(y,x) * z) * T(K(x,y) * (K(y,x) * z),u)) = a(u,K(x,y),z). [hyper(58,a,6564,a(flip),b,16139,a)]. 16141 (x * y) \ (R(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(4268(a,1),16140(a,1,1,1))]. 16142 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(11082(a,1),16141(a,1,2,1))]. 16143 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(x,y)) = a(y,K(z,u),x). [para(4268(a,1),16142(a,1,2,2,1))]. 16144 (x * y) \ (x * L(y,K(z,u),K(u,z) * x)) = a(y,K(z,u),x). [para(14563(a,1),16143(a,1,2))]. 16145 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(y,K(u,z),x). [para(6780(a,1),16144(a,1,2))]. 16146 a(x,K(y,z),u) = a(u,K(z,y),x). [hyper(58,a,16138,a(flip),b,16145,a)]. 16147 T(a(x,K(y,z),u),w) = a(u,K(z,y),x). [hyper(14589,a,16146,a)]. 16148 a(x,K(y,T(z,u)),w) = a(w,K(z,y),x). [hyper(14170,a,16146,a)]. 16149 a(x,K(y,z),T(u,w)) = a(u,K(z,y),x). [hyper(280,a,14787,a(flip),b,16146,a),flip(a)]. 16150 a(K(x,K(y,z)) * u,K(w,v5),v6) = a(v6,K(v5,w),u). [hyper(280,a,14234,a(flip),b,16146,a),flip(a)]. 16151 x * a(y,K(z,u),x) = L(x,K(u,z),y). [para(16146(a,1),14249(a,1,2))]. 16152 x * a(y,K(z,u),x) != w | L(x,K(u,z),y) = w. [para(16146(a,1),14251(a,1,2))]. 16153 a(x,K(y,z),u) != w | a(u,K(z,y),x) = w. [para(16147(a,1),187(a,1))]. 16154 a(x,K(y,z),u) \ (w * a(u,K(z,y),x)) = w. [para(16147(a,1),214(a,1,2,2))]. 16155 T(L(a(x,K(y,z),u),w,v5) \ 1,v6) = L(a(u,K(z,y),x),w,v5) \ 1. [para(16147(a,1),3617(a,2,1,1))]. 16156 (K(x,T(y,z)) * u) \ (a(w,K(T(y,u),x),u) \ (u * K(x,T(T(y,u),z)))) = (u * K(x,T(T(y,u),z))) \ ((u * (K(x,T(T(y,u),z)) * w)) / w). [para(16148(a,1),15898(a,1,2,1))]. 16157 a(x * K(y,z),K(z,y),u) = a(x,K(z,y),u * K(z,y)). [hyper(11437,a,16149,a)]. 16158 a(x * y,K(z,u),w) = a(w,K(u,z),y * x). [para(897(a,1),16149(a,1,3)),flip(a)]. 16159 a(x,K(y,T(z,u)),w) != v5 | a(w,K(z,y),x) = v5. [para(14169(a,2),16153(a,1))]. 16160 T(a(x,K(y,z),u),w) != v5 | a(u,K(z,y),x) = v5. [para(14552(a,2),16153(a,1))]. 16162 a(x,K(y,z),u) \ (a(u,K(z,y),x) * w) = w. [para(14544(a,2),16154(a,1,2))]. 16163 a(x,K(y,z),(u * w) * a(u,w / v5,v5)) = a(v5 * (u * (w / v5)),K(z,y),x). [para(820(a,2),16158(a,2,3)),flip(a)]. 16164 a(x,K(y,z),u * (w * (u \ 1))) = a(L(w,u,u \ 1),K(z,y),x). [para(7042(a,1),16158(a,1,1)),flip(a)]. 16165 a(x,K(y,z),((u \ (w \ u)) \ 1) * (w \ u)) = a(L(u,w,w \ u),K(z,y),x). [para(11158(a,1),16158(a,1,1)),flip(a)]. 16166 a(x / T(y,K(z,u)),K(w,v5),v6) = a(v6,K(v5,w),x / y). [para(12310(a,1),16150(a,1,1))]. 16167 a(K(x,y) * z,K(y,x),u) = a(z,K(y,x),u * K(y,x)). [hyper(14165,a,16157,a)]. 16168 L(((x * K(y,z)) * K(z,y)) \ u,K(z,y),x * K(y,z)) = x \ (u / a(x,K(z,y),(x \ u) * K(z,y))). [para(16157(a,1),8953(a,2,2,2))]. 16169 T((x * K(y,z)) \ (x * u),K(y,z)) = (u * K(z,y)) * a(u,K(y,z),x * K(y,z)). [para(16157(a,1),14256(a,2,2))]. 16170 a(x / T(y,K(z,u)),K(w,v5),v6) = v6 \ L(v6,K(v5,w),x / y). [hyper(280,a,14247,a,b,16166,a),flip(a)]. 16171 a(x,K(y,z),u / T(w,K(v5,v6))) = a(u / w,K(z,y),x). [para(3503(a,1),16166(a,1,1,2)),flip(a)]. 16172 a(x,K(y,z),(K(z,y) * u) * K(y,z)) = (K(z,y) * x) \ (u \ ((u * K(z,y)) * x)). [hyper(58,a,14268,a(flip),b,16167,a),flip(a)]. 16173 a(K(x,y) \ z,K(x,y),u) = a(z,K(x,y),u * K(x,y)). [para(4271(a,2),16167(a,1,1))]. 16175 a(x / T(y,K(z,u)),K(w,v5),v6) = v6 \ L(v6,K(v5,w),y \ x). [para(15293(a,1),16170(a,2,2))]. 16176 a(x / T(y,K(z,u)),K(w,v5),v6) = a(v6,K(v5,w),y \ x). [hyper(280,a,14247,a(flip),b,16175,a),flip(a)]. 16177 a(x,K(y,z),u / w) = a(x,K(y,z),w \ u). [hyper(58,a,16166,a(flip),b,16176,a)]. 16178 a(x,K(y,z),u \ (u / w)) = a(x,K(y,z),u \ (w \ u)). [para(935(a,1),16177(a,1,3))]. 16179 a(x,K(y,z),(u * w) * a(u,w / K(v5,v6),K(v5,v6))) = a(K(v5,v6) * (u * (w * K(v6,v5))),K(z,y),x). [para(4323(a,1),16163(a,2,1,2,2))]. 16180 T((x * K(y,z)) \ (x * u),K(y,z)) = u * (K(z,y) * a(u,K(y,z),x * K(y,z))). [hyper(280,a,14260,a(flip),b,16169,a),flip(a)]. 16181 (K(x,y) * z) \ (u \ ((u * K(x,y)) * z)) = a(z,K(y,x),T(u,K(x,y))). [para(5357(a,1),16172(a,1,3)),flip(a)]. 16182 (K(x,y) * z) \ (u \ ((u * K(x,y)) * z)) = a(z,K(y,x),u). [hyper(280,a,14233,a(flip),b,16181,a),flip(a)]. 16184 K(x,y) * (z / (K(x,T(y,u)) * (u \ z))) = u * a(u,K(x,y),z). [para(16182(a,1),16027(a,1,2)),flip(a)]. 16185 K(x,y) * (z / (K(x,T(y,u)) * (u \ z))) = L(u,K(x,y),z). [hyper(280,a,14249,a(flip),b,16184,a),flip(a)]. 16186 K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,K(x,y),z). [para(11929(a,1),16185(a,1,2))]. 16187 T(x \ ((x * K(y,z)) * u),K(z,y) \ 1) * K(z,y) = L(u,K(z,y),x). [hyper(3517,a,16186,a)]. 16188 (((x * K(y,z)) * K(z,y)) * u) / a(x,K(y,z),(x * K(y,z)) \ (((x * K(y,z)) * K(z,y)) * u)) = x * L(u,K(y,z),x * K(y,z)). [para(16186(a,1),308(a,2,2))]. 16189 (x / (K(y,z) * (u \ x))) * K(y,z) = L(u,K(y,z),x). [para(13854(a,1),16187(a,1,1))]. 16190 ((x * y) / (K(z,u) * (x \ (x * y)))) * K(z,u) = L(x,K(z,u),y * x). [hyper(280,a,6453,a,b,16189,a),flip(a)]. 16191 (K(x,y) / ((K(x,y) \ (K(x,y) / z)) * (K(x,y) \ (K(x,y) / u)))) * K(x,y) = L((K(x,y) * u) * (z * K(x,y)),K(x,y),K(x,y)). [para(1396(a,2),16189(a,1,1,2))]. 16192 ((x * y) / (K(z,u) * y)) * K(z,u) = L(x,K(z,u),y * K(z,u)). [para(4004(a,1),16189(a,1,1))]. 16193 K(x,y) * (z / (K(x,y) * (u \ z))) = T(L(u,K(x,y),z),K(x,y)). [para(16189(a,1),5358(a,1,1)),flip(a)]. 16194 K(x,y) * (z / (K(x,y) * (u \ z))) = L(T(u,K(x,y)),K(x,y),z). [hyper(280,a,20,a,b,16193,a),flip(a)]. 16195 L(x,K(y,z),u * x) = ((x * u) / (K(y,z) * u)) * K(y,z). [para(4(a,1),16190(a,1,1,2,2)),flip(a)]. 16196 L(x,K(y,z),u * K(y,z)) = L(x,K(y,z),u * x). [hyper(280,a,16192,a(flip),b,16195,a)]. 16197 x * (K(y,z) * a(x,K(z,y),u * K(z,y))) != w | L(x * K(y,z),K(z,y),u) = w. [para(16180(a,1),6491(a,1))]. 16198 L(x,K(y,z),u * K(y,z)) * K(z,y) = L(x * K(z,y),K(y,z),u). [hyper(16197,a,15477,a),flip(a)]. 16199 a(x,K(y,z),(u * w) * a(u,w * K(v5,v6),K(v6,v5))) = a(K(v6,v5) * (u * (w * K(v5,v6))),K(z,y),x). [para(4323(a,1),16179(a,1,3,2,2))]. 16200 L(((x * K(y,z)) * K(z,y)) \ u,K(z,y),x * K(y,z)) = x \ (a(x,K(z,y),(x \ u) * K(z,y)) \ u). [para(14559(a,1),16168(a,2,2))]. 16201 x \ (a(x,K(y,z),(x \ u) * K(y,z)) \ u) = L(x \ u,K(y,z),x * K(z,y)). [para(4324(a,1),16200(a,1,1,1)),flip(a)]. 16202 (K(x,y) / ((K(y,x) * (K(x,y) / z)) * (K(x,y) \ (K(x,y) / u)))) * K(x,y) = L((K(x,y) * u) * (z * K(x,y)),K(x,y),K(x,y)). [para(4271(a,1),16191(a,1,1,2,1))]. 16203 (K(x,y) / ((z \ 1) * (K(x,y) \ (K(x,y) / u)))) * K(x,y) = L((K(x,y) * u) * (z * K(x,y)),K(x,y),K(x,y)). [para(10498(a,1),16202(a,1,1,2,1))]. 16204 (K(x,y) / ((z \ 1) * (K(y,x) * (K(x,y) / u)))) * K(x,y) = L((K(x,y) * u) * (z * K(x,y)),K(x,y),K(x,y)). [para(4271(a,1),16203(a,1,1,2,2))]. 16206 L((K(x,y) * z) * (u * K(x,y)),K(x,y),K(x,y)) = (K(x,y) / ((u \ 1) * (z \ 1))) * K(x,y). [para(10498(a,1),16204(a,1,1,2,2)),flip(a)]. 16207 L((K(x,y) * z) * (u * K(x,y)),K(x,y),K(x,y)) = (K(x,y) / ((z * u) \ 1)) * K(x,y). [para(512(a,1),16206(a,2,1,2))]. 16209 L((K(x,y) * z) * (u * K(x,y)),K(x,y),K(x,y)) = (K(x,y) * (z * u)) * K(x,y). [para(10499(a,1),16207(a,2,1))]. 16210 L((K(x,y) * z) * (u * K(x,y)),K(x,y),K(x,y)) = K(x,y) * ((z * u) * K(x,y)). [hyper(280,a,13197,a(flip),b,16209,a),flip(a)]. 16211 (K(x,y) * z) * (u * K(x,y)) = K(x,y) * ((z * u) * K(x,y)). [hyper(14540,a,16210,a),flip(a)]. 16213 (K(x,y * y) * z) * (K(x,y * y) * u) = K(x,y * y) * ((z * u) * K(x,y * y)). [para(11041(a,2),16211(a,1,2))]. 16214 (K(x,y * y) * z) * (K(x,y * y) * u) = (y * y) * (T(T(y * y,x),x) \ (z * u)). [hyper(280,a,11504,a(flip),b,16213,a),flip(a)]. 16215 (K(x,y * y) * z) * (K(x,y * y) * u) = (y * y) * (T(y * y,x * x) \ (z * u)). [para(11022(a,1),16214(a,2,2,1))]. 16216 (K(x,y * y) * z) * (K(x,y * y) * u) = K(x * x,y * y) * (z * u). [hyper(280,a,4296,a(flip),b,16215,a),flip(a)]. 16217 (x * K(y * y,z)) * (K(y,z * z) * u) = K(y * y,z * z) * (x * u). [hyper(58,a,11180,a(flip),b,16216,a)]. 16218 (x * y) / a(x,K(z,u),(x * K(z,u)) \ (((x * K(z,u)) * K(u,z)) * y)) = x * L(y,K(z,u),x * K(z,u)). [para(4324(a,1),16188(a,1,1,1))]. 16219 (x * y) / a(x,K(z,u),(x * K(z,u)) \ (x * y)) = x * L(y,K(z,u),x * K(z,u)). [para(4324(a,1),16218(a,1,2,3,2,1))]. 16220 (x * y) / a(x * y,K(z,u),K(u,z) * x) = x * L(y,K(u,z),x * K(u,z)). [para(15746(a,1),16219(a,1,2))]. 16221 a(x * y,K(z,u),K(u,z) * x) \ (x * y) = x * L(y,K(u,z),x * K(u,z)). [hyper(14561,a,16220,a)]. 16222 (K(x,T(y,z)) * u) \ (a(w,K(y,T(x,u)),u) \ (u * K(x,T(T(y,u),z)))) = (u * K(x,T(T(y,u),z))) \ ((u * (K(x,T(T(y,u),z)) * w)) / w). [para(3638(a,1),16156(a,1,2,1,2))]. 16224 (K(x,T(y,z)) * u) \ (a(u,K(x,y),w) \ (u * K(x,T(T(y,u),z)))) = (u * K(x,T(T(y,u),z))) \ ((u * (K(x,T(T(y,u),z)) * w)) / w). [para(16148(a,1),16222(a,1,2,1))]. 16225 (K(x,T(y,z)) * u) \ (a(u,K(x,y),w) \ (K(x,T(y,z)) * u)) = (u * K(x,T(T(y,u),z))) \ ((u * (K(x,T(T(y,u),z)) * w)) / w). [para(3782(a,1),16224(a,1,2,2))]. 16227 a(x / (K(y,T(z,u)) * (w * K(z,T(y,u)))),K(y,T(z,u)),w * K(z,T(y,u))) = (((x * K(z,T(y,u))) * w) / (K(z,T(y,u)) * w)) \ x. [para(12540(a,1),16123(a,2,1))]. 16228 a(x / (K(y,T(z,u)) * (w * K(z,T(y,u)))),K(y,T(z,u)),w * K(z,T(y,u))) = L(x,K(z,T(y,u)),w) \ x. [para(11075(a,2),16227(a,2,1))]. 16229 a(x / (K(y,T(z,u)) * (w * K(z,T(y,u)))),K(y,T(z,u)),w * K(z,T(y,u))) = L(x,K(z,y),w) \ x. [para(14194(a,1),16228(a,2,1))]. 16230 a(x / T(y,K(z,u)),K(z,T(u,w)),y * K(u,T(z,w))) = L(x,K(u,z),y) \ x. [para(12536(a,1),16229(a,1,1,2))]. 16232 a(x * K(y,T(z,u)),K(y,z),w / T(x,K(z,y))) = L(w,K(y,z),x) \ w. [hyper(16159,a,16230,a)]. 16235 a(x / y,K(z,u),y * K(u,T(z,w))) = L(x,K(u,z),y) \ x. [hyper(58,a,16171,a(flip),b,16232,a)]. 16237 a(x / y,K(z,u),y * K(u,z)) = L(x,K(u,z),y) \ x. [hyper(58,a,14240,a(flip),b,16235,a)]. 16238 L(a(x,y,(x * y) \ (z \ (x * y))) \ 1,a(x,y,(x * y) \ (z \ (x * y))),z \ (x * y)) = ((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))). [hyper(58,a,10752,a(flip),b,16124,a)]. 16239 ((x * y) / z) \ (x * (y * ((x * y) \ ((x * y) / z)))) = (z \ (x * y)) \ (x * (y * ((x * y) \ (z \ (x * y))))). [hyper(58,a,1561,a(flip),b,16238,a),flip(a)]. 16240 (x \ (y * z)) \ (y * (z * ((y * z) \ (x \ (y * z))))) = x * L(x \ 1,z,y). [hyper(2346,a,16239,a),flip(a)]. 16241 (x \ (y * z)) \ (y * (z * ((y * z) \ (x \ (y * z))))) != u | x * L(x \ 1,z,y) = u. [para(16239(a,1),2346(a,1))]. 16242 (x \ ((y * K(z,u)) * K(u,z))) \ ((y * K(z,u)) * (K(u,z) * (((y * K(z,u)) * K(u,z)) \ (x \ ((y * K(z,u)) * K(u,z)))))) = x * (y \ ((y * K(z,u)) * (K(u,z) * (x \ 1)))). [para(4360(a,2),16240(a,2,2))]. 16243 (x * (K(y,L(z,u,w)) * T(K(z,L(y,u,w)) * v5,v6))) / T(K(z,y) * v5,v6) = (x * (K(y,z) * T(v5 * K(z,y),v6))) / T(T(K(z,y) * v5,v6),K(y,z)). [para(5586(a,1),15106(a,1,1,2)),flip(a)]. 16244 (x * (K(y,L(z,u,w)) * T(K(z,L(y,u,w)) * v5,v6))) / T(K(z,y) * v5,v6) = (x * (K(y,z) * T(v5 * K(z,y),v6))) / T(v5 * K(z,y),v6). [para(5360(a,1),16243(a,2,2))]. 16245 (x * (K(y,L(z,u,w)) * T(K(z,L(y,u,w)) * v5,v6))) / T(K(z,y) * v5,v6) = T(v5 * K(z,y),v6) / (K(z,y) * (x \ T(v5 * K(z,y),v6))). [hyper(280,a,4307,a(flip),b,16244,a),flip(a)]. 16246 T((a(x,y,K(z,u)) * L(a(u,y,K(z,x)) * 1,w,v5)) * K(z,x),a(x,y,K(z,u))) = K(z,L(x,y,u)) * L(K(z,x) \ (a(x,y,K(z,u)) \ K(z,x)),w,v5). [para(10537(a,1),10853(a,1,1,1,2,1))]. 16247 L(a(x,y,K(z,L(u,w,v5))),v6,v7) * ((K(v8,a(x,y,K(z,L(u,w,v5)))) * v6) * v7) = T(a(L(z,w,v5),y,K(x,L(u,v6,v7))),v8 \ 1) \ (v6 * v7). [para(14029(a,1),13652(a,1,1,1)),flip(a)]. 16248 L(a(x,y,K(z,L(u,w,v5))),v6,v7) * ((K(v8,a(x,y,K(z,L(u,w,v5)))) * v6) * v7) = T(a(z,y,K(x,L(L(u,v6,v7),w,v5))),v8 \ 1) \ (v6 * v7). [para(10923(a,1),16247(a,2,1,1))]. 16249 a(x,y,K(z,T(L(L(u,w,v5),v6,v7),v8))) \ (w * v5) = L(a(z,y,K(x,L(u,v6,v7))),w,v5) * ((K(v9,a(z,y,K(x,L(u,v6,v7)))) * w) * v5). [para(13380(a,1),16248(a,2,1)),flip(a)]. 16251 L(a(x,y,K(z,L(u,w,v5))),v6,v7) * ((K(v8,a(x,y,K(z,L(u,w,v5)))) * v6) * v7) = a(z,y,K(x,L(L(u,w,v5),v6,v7))) \ (v6 * v7). [para(13386(a,1),16249(a,1,1)),flip(a)]. 16252 L(a(x,y,K(z,L(u,w,v5))),v6,v7) * ((K(v8,a(x,y,K(z,L(u,w,v5)))) * v6) * v7) = a(L(L(u,w,v5),v6,v7),y,K(x,z)) * (v6 * v7). [hyper(280,a,10537,a(flip),b,16251,a),flip(a)]. 16253 L(a(x,y,K(z,L(u,w,v5))),v6,v7) * ((K(v8,a(x,y,K(z,L(u,w,v5)))) * v6) * v7) = a(L(u,w,v5),y,K(x,L(z,v6,v7))) * (v6 * v7). [para(10923(a,1),16252(a,2,1))]. 16254 L(a(x,y,K(z,L(u,w,v5))),v6,v7) * ((K(v8,a(x,y,K(z,L(u,w,v5)))) * v6) * v7) = a(u,y,K(x,L(L(z,v6,v7),w,v5))) * (v6 * v7). [para(10923(a,1),16253(a,2,1))]. 16255 a(x,y,K(z,L(L(u,w,v5),v6,v7))) * ((K(v8,a(x,y,K(z,L(u,w,v5)))) * v6) * v7) = a(u,y,K(x,L(L(z,v6,v7),w,v5))) * (v6 * v7). [para(9411(a,2),16254(a,1,1))]. 16256 a(x,y,K(z,L(L(u,w,v5),v6,v7))) * (v6 * v7) = a(u,y,K(x,L(L(z,v6,v7),w,v5))) * (v6 * v7). [para(6439(a,1),16255(a,1,2,1))]. 16257 a(x,y,K(z,L(L(u,w,v5),v6,v7))) * (w * v5) = (a(z,y,K(u,L(x,v6,v7))) * w) * v5. [hyper(11181,a,16256,a),flip(a)]. 16258 (x * (K(y,L(z,u,w)) * T(K(z,L(y,u,w)) * v5,v6))) / T(K(z,y) * v5,v6) = ((x * K(y,z)) / (K(z,y) * v5)) * L(K(z,y) * v5,K(y,z),T(x,v6)). [hyper(280,a,15980,a(flip),b,15105,a),flip(a)]. 16259 (x * (K(y,L(z,u,w)) * T(K(z,L(y,u,w)) * v5,v6))) / T(K(z,y) * v5,v6) = ((x * K(y,z)) / (K(z,y) * v5)) * L(K(z,y) * v5,K(y,z),x). [para(15282(a,1),16258(a,2,2))]. 16260 (x * (K(y,L(z,u,w)) * T(K(z,L(y,u,w)) * v5,v6))) / T(K(z,y) * v5,v6) = (x * (K(y,z) * (K(z,y) * v5))) / (K(z,y) * v5). [hyper(280,a,2206,a(flip),b,16259,a),flip(a)]. 16262 (x * (K(y,L(z,u,w)) * T(K(z,L(y,u,w)) * v5,v6))) / T(K(z,y) * v5,v6) = (x * v5) / (K(z,y) * v5). [para(4268(a,1),16260(a,2,1,2))]. 16263 T(x * K(y,z),u) / (K(y,z) * (w \ T(x * K(y,z),u))) = (w * x) / (K(y,z) * x). [hyper(58,a,16245,a(flip),b,16262,a)]. 16265 T(a(x,y,K(z,u)) * (a(w,v5,K(v6,v7)) * v8),a(w,v5,K(v6,L(v7,a(x,y,K(z,u)),v8)))) = (a(x,y,K(z,u)) * v8) * R(a(w,v5,K(v6,v7)),a(x,y,K(z,u)),v8). [para(9411(a,2),15507(a,1,2))]. 16266 T((a(x,y,K(z,u)) * L(a(u,y,K(z,x)),w,v5)) * K(z,x),a(x,y,K(z,u))) = K(z,L(x,y,u)) * L(K(z,x) \ (a(x,y,K(z,u)) \ K(z,x)),w,v5). [para(3(a,1),16246(a,1,1,1,2,1))]. 16267 T((a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5)))) * K(z,x),a(x,y,K(z,u))) = K(z,L(x,y,u)) * L(K(z,x) \ (a(x,y,K(z,u)) \ K(z,x)),w,v5). [para(9411(a,2),16266(a,1,1,1,2))]. 16268 (a(x,y,K(z,u)) * w) * R(a(v5,v6,K(v7,v8)),a(x,y,K(z,u)),w) = a(x,y,K(z,u)) * (a(v5,v6,K(v7,v8)) * w). [hyper(13151,a,16265,a),flip(a)]. 16270 (a(x,y,K(z,u)) * w) * a(v5,v6,K(v7,L(v8,a(x,y,K(z,u)),w))) = a(x,y,K(z,u)) * (a(v5,v6,K(v7,v8)) * w). [para(11093(a,2),16268(a,1,2))]. 16271 (a(x,y,K(z,u)) * w) * a(v5,v6,K(v7,v8)) = a(x,y,K(z,u)) * (a(v5,v6,K(v7,v8)) * w). [para(14472(a,1),16270(a,1,2,3))]. 16272 a(x,y,K(z,u)) * (a(w,v5,K(v6,v7)) * v8) = v8 * (a(v7,v5,K(w,v6)) * a(z,y,K(u,x))). [hyper(58,a,15137,a(flip),b,16271,a),flip(a)]. 16274 (x * (a(y,z,K(u,w)) * a(v5,v6,K(v7,v8)))) \ a(v8,v6,K(v5,v7)) = a(v8,v6,K(v5,v7)) \ (a(v8,v6,K(v5,v7)) / (a(u,z,K(w,y)) * x)). [para(16272(a,1),304(a,1,1))]. 16275 T(((a(x,y,K(z,u)) * w) * a(v5,v6,K(v7,v8))) \ 1,T(a(x,y,K(z,u)) * w,a(v5,v6,K(v7,v8)))) = (w * (a(u,y,K(x,z)) * a(v7,v6,K(v8,v5)))) \ 1. [para(16272(a,1),3621(a,2,1))]. 16276 T(a(x,y,K(z,u)) * (a(x,y,K(z,u)) / (w * (a(v5,v6,K(v7,v8)) * a(z,y,K(u,x))))),a(v7,v6,K(v8,v5)) * w) = a(x,y,K(z,u)) / (a(v7,v6,K(v8,v5)) * w). [para(16272(a,1),4760(a,1,1,2,2))]. 16277 x * L(a(y,z,K(u,w)) * a(y,z,K(u,w)),v5,K(v6,a(y,z,K(u,w)))) = a(w,z,K(y,u)) * (a(u,z,K(w,y)) * x). [para(13443(a,2),16272(a,2,2)),flip(a)]. 16278 x * L(a(y,z,K(u,w)) * a(y,z,K(u,w)),v5,K(v6,a(y,z,K(u,w)))) = u * (L(L(u,z,K(y,w)),z,K(y,w)) \ x). [hyper(280,a,14105,a(flip),b,16277,a),flip(a)]. 16279 (x * (a(y,z,K(u,w)) * a(v5,v6,K(v7,v8)))) \ a(v8,v6,K(v5,v7)) = a(v8,v6,K(v5,v7)) \ ((a(u,z,K(w,y)) * x) \ a(v8,v6,K(v5,v7))). [para(13144(a,1),16274(a,2,2))]. 16280 (x * (a(y,z,K(u,w)) * a(v5,v6,K(v7,v8)))) \ a(v8,v6,K(v5,v7)) = a(v7,v6,K(v5,v8)) * ((a(u,z,K(w,y)) * x) \ a(v8,v6,K(v5,v7))). [hyper(280,a,10537,a(flip),b,16279,a),flip(a)]. 16281 (x * (a(y,z,K(u,w)) * a(v5,v6,K(v7,v8)))) \ a(v8,v6,K(v5,v7)) = (a(u,z,K(w,y)) * x) \ 1. [hyper(280,a,13696,a(flip),b,16280,a),flip(a)]. 16283 (x * (a(y,z,K(u,w)) * a(v5,v6,K(v7,v8)))) \ a(v8,v6,K(v5,v7)) = x \ a(w,z,K(u,y)). [hyper(280,a,13701,a(flip),b,16281,a),flip(a)]. 16284 T((x * (a(y,z,K(u,w)) * a(v5,v6,K(v7,v8)))) \ 1,T(a(v8,v6,K(v5,v7)) * x,a(u,z,K(w,y)))) = (x * (a(v7,v6,K(v8,v5)) * a(w,z,K(y,u)))) \ 1. [para(15137(a,1),16275(a,1,1,1))]. 16285 T((a(x,y,K(z,u)) \ a(w,v5,K(v6,v7))) * (v8 \ 1),T(a(v6,v5,K(w,v7)) * v8,a(z,y,K(u,x)))) = (v8 * (a(v7,v5,K(v6,w)) * a(u,y,K(x,z)))) \ 1. [para(13705(a,1),16284(a,1,1))]. 16286 T((a(x,y,K(z,u)) * a(w,v5,K(v6,v7))) * (v8 \ 1),T(a(v6,v5,K(w,v7)) * v8,a(z,y,K(x,u)))) = (v8 * (a(v7,v5,K(v6,w)) * a(x,y,K(u,z)))) \ 1. [para(10537(a,1),16285(a,1,1,1))]. 16287 T(a(x,y,K(z,u)) * (a(w,v5,K(v6,v7)) * (v8 \ 1)),T(a(v6,v5,K(w,v7)) * v8,a(x,y,K(u,z)))) = (v8 * (a(v7,v5,K(v6,w)) * a(u,y,K(z,x)))) \ 1. [para(15503(a,1),16286(a,1,1))]. 16288 T(a(x,y,K(z,u)) * (w \ a(v5,v6,K(v7,v8))),T(a(v8,v6,K(v7,v5)) * w,a(x,y,K(u,z)))) = (w * (a(v5,v6,K(v8,v7)) * a(u,y,K(z,x)))) \ 1. [para(13692(a,1),16287(a,1,1,2))]. 16289 T(a(x,y,K(z,u)) * (w \ a(v5,v6,K(v7,v8))),a(v8,v6,K(v7,v5)) * w) = (w * (a(v5,v6,K(v8,v7)) * a(u,y,K(z,x)))) \ 1. [hyper(13635,a,16288,a)]. 16290 T(a(x,y,K(z,u)) * (w \ a(v5,v6,K(v7,v8))),w) = (w * (a(v5,v6,K(v8,v7)) * a(u,y,K(z,x)))) \ 1. [hyper(13636,a,16289,a)]. 16292 T(a(x,y,K(z,u)) * (w \ a(v5,v6,K(v7,v8))),w) = (a(v5,v6,K(v8,v7)) \ a(u,y,K(x,z))) * (w \ 1). [hyper(280,a,13705,a(flip),b,16290,a),flip(a)]. 16294 T(a(x,y,K(z,u)) * (w \ a(v5,v6,K(v7,v8))),w) = (a(v7,v6,K(v8,v5)) * a(u,y,K(x,z))) * (w \ 1). [para(10537(a,1),16292(a,2,1))]. 16295 T(a(x,y,K(z,u)) * (w \ a(v5,v6,K(v7,v8))),w) = a(v8,v6,K(v5,v7)) * (a(u,y,K(x,z)) * (w \ 1)). [hyper(280,a,15503,a(flip),b,16294,a),flip(a)]. 16296 T(a(x,y,K(z,u)) * (w \ a(v5,v6,K(v7,v8))),w) = a(v8,v6,K(v5,v7)) * (w \ a(z,y,K(u,x))). [para(13692(a,1),16295(a,2,2))]. 16297 T(a(x,y,K(z,u)) * ((w * (a(v5,v6,K(v7,v8)) * a(z,y,K(u,x)))) \ a(x,y,K(z,u))),a(v7,v6,K(v8,v5)) * w) = a(x,y,K(z,u)) / (a(v7,v6,K(v8,v5)) * w). [para(13144(a,1),16276(a,1,1,2))]. 16298 T(a(x,y,K(z,u)) * (w \ a(v5,v6,K(v7,v8))),a(v7,v6,K(v5,v8)) * w) = a(x,y,K(z,u)) / (a(v7,v6,K(v5,v8)) * w). [para(16283(a,1),16297(a,1,1,2))]. 16299 T(a(x,y,K(z,u)) * (w \ a(v5,v6,K(v7,v8))),w) = a(x,y,K(z,u)) / (a(v7,v6,K(v5,v8)) * w). [hyper(13636,a,16298,a)]. 16302 a(x,y,K(z,u)) / (a(w,v5,K(v6,v7)) * v8) = a(v7,v5,K(v6,w)) * (v8 \ a(z,y,K(u,x))). [hyper(58,a,16296,a(flip),b,16299,a),flip(a)]. 16303 (a(x,y,K(z,u)) * w) \ a(v5,v6,K(v7,v8)) = a(u,y,K(z,x)) * (w \ a(v7,v6,K(v8,v5))). [hyper(13153,a,16302,a)]. 16304 L((K(x,y) * z) \ ((K(x,y) * z) * K(u,w)),v5,v6) * (K(x,y) * (z * K(w,u))) = ((K(x,y) * z) * K(w,u)) * L((K(x,y) * z) \ (K(w,u) \ (K(x,y) * z)),v5,v6). [para(4323(a,1),13359(a,1,1,1,2))]. 16305 ((K(x,y) * z) * K(u,w)) * L((K(x,y) * z) \ (K(u,w) \ (K(x,y) * z)),v5,v6) = L(K(w,u),v5,v6) * (K(x,y) * (z * K(u,w))). [para(4(a,1),16304(a,1,1,1)),flip(a)]. 16307 ((K(x,y) * z) * K(u,w)) * L((K(x,y) * z) \ (K(u,w) \ (K(x,y) * z)),v5,v6) = K(w,L(u,v5,v6)) * (K(x,y) * (z * K(u,w))). [para(9384(a,1),16305(a,2,1))]. 16308 ((K(x,y) * z) * K(u,w)) * L((K(x,y) * z) \ (K(u,w) \ (K(x,y) * z)),v5,v6) = K(u,w) * (K(x,y) * (z * K(w,L(u,v5,v6)))). [hyper(280,a,14128,a(flip),b,16307,a),flip(a)]. 16309 (K(x,y) * (z * K(u,w))) * L((K(x,y) * z) \ (K(u,w) \ (K(x,y) * z)),v5,v6) = K(u,w) * (K(x,y) * (z * K(w,L(u,v5,v6)))). [para(13197(a,1),16308(a,1,1))]. 16310 (K(x,y) * (z * K(u,w))) * L(K(w,T(u,K(x,y) * z)),v5,v6) = K(u,w) * (K(x,y) * (z * K(w,L(u,v5,v6)))). [para(4294(a,1),16309(a,1,2,1))]. 16311 (K(x,y) * (z * K(u,w))) * L(K(w,T(u,z)),v5,v6) = K(u,w) * (K(x,y) * (z * K(w,L(u,v5,v6)))). [para(12581(a,1),16310(a,1,2,1))]. 16312 (K(x,y) * (z * K(u,w))) * K(w,L(T(u,z),v5,v6)) = K(u,w) * (K(x,y) * (z * K(w,L(u,v5,v6)))). [para(9384(a,1),16311(a,1,2))]. 16314 K(x,y) * ((z * K(u,w)) * K(w,L(T(u,z),v5,v6))) = K(u,w) * (K(x,y) * (z * K(w,L(u,v5,v6)))). [hyper(13198,a,16312,a)]. 16315 K(x,y) * (z * (K(u,L(T(w,z),v5,v6)) * K(w,u))) = K(w,u) * (K(x,y) * (z * K(u,L(w,v5,v6)))). [para(5948(a,1),16314(a,1,2))]. 16316 K(x,y) * (z * (K(u,w) * K(w,L(T(u,z),v5,v6)))) = K(w,u) * (K(x,y) * (z * K(u,L(w,v6,v5)))). [para(15103(a,1),16315(a,1,2,2))]. 16317 K(x,y) * (K(z,L(u,w,v5)) * (v6 * K(u,z))) = K(z,u) * (K(x,y) * (v6 * K(u,L(z,v5,w)))). [para(14766(a,1),16316(a,1,2))]. 16318 K(x,y) * T(z * a(u,w,K(v5,v6)),K(u,v5)) = K(u,v5) * (K(x,y) * (z * K(v5,L(u,w,v6)))). [para(15047(a,2),16317(a,1,2))]. 16319 T(K(x,y) * (z * a(u,w,K(v5,v6))),K(u,v5)) = K(u,v5) * (K(x,y) * (z * K(v5,L(u,w,v6)))). [hyper(12693,a,16318,a)]. 16320 T(K(x,y) * (z * a(y,u,K(x * x,w))),K(y,x * x)) = K(y,x) * (z * K(x * x,L(y,u,w))). [hyper(280,a,11416,a(flip),b,16319,a),flip(a)]. 16321 T(x * (L(T(x,y),z,K(u,y * y)) \ w),K(x,y * y)) = K(x,y) * (w * K(y * y,L(x,z,u))). [para(13984(a,1),16320(a,1,1))]. 16322 K(x,y) * (z * K(y * y,L(x,u,w))) != v5 | x * (L(T(x,y),u,K(w,y * y)) \ z) = v5. [para(16321(a,1),11045(a,1))]. 16323 (x * K(T(y,z),T(u,w))) \ (x * L(L(K(u,T(T(y,z),w)) \ 1,K(u,T(T(y,z),w)),x),v5,v6)) = K(u,K(y,w)) * (K(u,T(y,z)) * L(K(u,T(T(y,z),w)) \ 1,v5,v6)). [para(4339(a,1),12414(a,1,1))]. 16324 (x * K(y,T(T(z,u),w))) \ (x * L(L(K(z,T(T(y,w),u)) \ 1,K(z,T(T(y,w),u)),x),v5,v6)) = K(z,K(y,u)) * (K(z,T(y,w)) * L(K(z,T(T(y,w),u)) \ 1,v5,v6)). [para(3638(a,1),16323(a,1,1,2))]. 16325 (x * K(y,T(T(z,u),w))) \ (x * L(L(K(T(y,w),T(z,u)) * 1,K(z,T(T(y,w),u)),x),v5,v6)) = K(z,K(y,u)) * (K(z,T(y,w)) * L(K(z,T(T(y,w),u)) \ 1,v5,v6)). [para(4315(a,1),16324(a,1,2,2,1,1))]. 16326 (x * K(y,T(T(z,u),w))) \ (x * L(L(K(y,T(T(z,u),w)) * 1,K(z,T(T(y,w),u)),x),v5,v6)) = K(z,K(y,u)) * (K(z,T(y,w)) * L(K(z,T(T(y,w),u)) \ 1,v5,v6)). [para(3638(a,1),16325(a,1,2,2,1,1,1))]. 16327 (x * K(y,T(T(z,u),w))) \ (x * L(L(K(y,T(T(z,u),w)),K(z,T(T(y,w),u)),x),v5,v6)) = K(z,K(y,u)) * (K(z,T(y,w)) * L(K(z,T(T(y,w),u)) \ 1,v5,v6)). [para(3(a,1),16326(a,1,2,2,1,1))]. 16328 (x * K(y,T(T(z,u),w))) \ (x * L(K(y,T(T(z,u),w)),v5,v6)) = K(z,K(y,u)) * (K(z,T(y,w)) * L(K(z,T(T(y,w),u)) \ 1,v5,v6)). [para(14457(a,1),16327(a,1,2,2,1))]. 16329 (x * K(y,T(T(z,u),w))) \ (x * K(y,L(T(T(z,u),w),v5,v6))) = K(z,K(y,u)) * (K(z,T(y,w)) * L(K(z,T(T(y,w),u)) \ 1,v5,v6)). [para(9384(a,1),16328(a,1,2,2))]. 16331 K(x,K(y,z)) * (K(x,T(y,u)) * L(K(x,T(T(y,u),z)) \ 1,w,v5)) = a(y,v5,K(T(T(x,z),u),w)). [hyper(58,a,14439,a(flip),b,16329,a),flip(a)]. 16332 K(x,K(y,z)) * (K(x,T(y,u)) * L(K(x,T(T(y,u),z)) \ 1,w,v5)) = a(y,v5,K(T(x,z),T(w,u))). [para(3638(a,1),16331(a,2,3))]. 16333 K(x,K(y,z)) * (K(x,T(y,u)) * L(K(x,T(T(y,u),z)) \ 1,w,v5)) = a(y,v5,K(x,T(T(w,u),z))). [para(3638(a,1),16332(a,2,3))]. 16334 K(x,K(y,z)) * (K(x,T(y,u)) * L(K(x,T(T(y,u),z)) \ 1,w,v5)) = a(y,v5,K(x,T(w,u))). [hyper(280,a,13375,a(flip),b,16333,a),flip(a)]. 16336 K(x,K(y,z)) * (K(x,T(y,u)) * L(K(x,T(T(y,u),z)) \ 1,w,v5)) = a(y,v5,K(x,w)). [hyper(280,a,13375,a(flip),b,16334,a),flip(a)]. 16338 K(x,K(y,z)) * (K(x,T(y,u)) * L(K(T(y,u),T(x,z)) * 1,w,v5)) = a(y,v5,K(x,w)). [para(4315(a,1),16336(a,1,2,2,1))]. 16339 K(x,K(y,z)) * (K(x,T(y,u)) * L(K(y,T(T(x,z),u)) * 1,w,v5)) = a(y,v5,K(x,w)). [para(3638(a,1),16338(a,1,2,2,1,1))]. 16340 K(x,K(y,z)) * (K(x,T(y,u)) * L(K(y,T(T(x,z),u)),w,v5)) = a(y,v5,K(x,w)). [para(3(a,1),16339(a,1,2,2,1))]. 16341 K(x,K(y,z)) * (K(x,T(y,u)) * K(y,L(T(T(x,z),u),w,v5))) = a(y,v5,K(x,w)). [para(9384(a,1),16340(a,1,2,2))]. 16342 K(x,T(T(y,z),u)) * K(y,L(T(T(x,u),z),w,v5)) = a(y,v5,K(x,w)). [hyper(12154,a,16341,a)]. 16343 K(x,T(T(y,z),u)) * K(y,L(T(T(x,u),z),w \ K(v5,v6),v7)) = a(y,v7,K(K(v5,v6) * w,x)). [para(12396(a,2),16342(a,2,3))]. 16344 a(x,y,K(K(z,u) * w,v5)) = K(v5,T(T(x,v6),v7)) * K(x,L(T(T(v5,v7),v6),y,w)). [para(15426(a,1),16343(a,1,2)),flip(a)]. 16345 a(x,y,K(K(z,u) * w,v5)) = a(x,w,K(v5,y)). [hyper(280,a,16342,a(flip),b,16344,a),flip(a)]. 16347 a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(14515,a,16345,a)]. 16348 a(x,y,K(z,K(u,w) * v5)) = a(z,v5,K(x,y)). [hyper(10792,a,16345,a)]. 16349 a(x,y * K(z,u),K(w,v5)) = a(w,y,K(v5,x)). [hyper(58,a,14519,a,b,16345,a)]. 16350 a(x,y,K(z,u)) * (y \ K(w,v5)) = L(y \ K(w,v5),u,K(x,z)). [para(16345(a,1),11772(a,1,1))]. 16351 K(x,L(y,z,u \ K(w,v5))) = a(y,u,K(x,z)) * K(x,y). [para(16345(a,1),12398(a,1,1)),flip(a)]. 16352 K(x,y) * (a(z,u,K(w,v5)) * u) = L(K(x,y) * u,v5,K(w,z)). [para(16345(a,1),14052(a,1,2,1))]. 16353 K(x,L(y,K(z,u) * w,v5)) = a(y,w,K(x,v5)) * K(x,y). [para(16345(a,1),14497(a,1,1)),flip(a)]. 16355 a(x,y,K(z,u)) * K(x,K(w,v5) * y) = K(x,L(K(v5,w) * y,z,u)). [para(16347(a,1),14627(a,1,1))]. 16356 a(x,y,K(z,u * L(T(w,v5),v6,v7))) = a(z,u * L(w,v6,v7),K(x,y)). [para(13769(a,1),16348(a,1,3))]. 16357 K(x,L(y \ (z * K(u,w)),v5,L(v6,y,K(w,u)))) = a(x,y \ z,K(v5,v6)) * K(x,y \ (z * K(u,w))). [para(16348(a,1),15612(a,1,1)),flip(a)]. 16359 ((x * (y * K(z,u))) * K(w,v5)) / a(w,y,K(v5,x)) = x * (y * (K(w,v5) * K(z,u))). [para(16349(a,1),14673(a,1,2))]. 16360 a(K(x,y) * (z * (u * K(y,x))),K(w,v5),v6) = a(v6,K(v5,w),(z * u) * a(x,u,K(y,z))). [para(16349(a,1),16199(a,1,3,2)),flip(a)]. 16361 K(x,L(y,z,u \ K(w,v5))) = K(x,L(y,u,z)). [hyper(280,a,10840,a(flip),b,16351,a),flip(a)]. 16362 K(x,L(y,z,u \ K(w,v5))) != v6 | K(x,L(y,u,z)) = v6. [para(16351(a,2),10956(a,1))]. 16364 K(x,L(y,T(z,u) \ w,v5)) = K(x,L(y,w / z,v5)). [hyper(14907,a,16361,a)]. 16365 K(x,L(y,z / (u \ w),v5)) = K(x,L(y,(w / u) \ z,v5)). [para(3508(a,1),16364(a,1,2,2,1)),flip(a)]. 16366 K(x,L(y,z,u \ 1)) != w | K(x,L(y,u,z)) = w. [para(155(a,1),16362(a,1,2,3,2))]. 16368 K(x,(y * (z \ 1)) / u) != w | K(x,L(y / (u / (z \ 1)),z,(z \ 1) \ u)) = w. [para(11342(a,1),16366(a,1,2))]. 16369 K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w,v5)). [hyper(280,a,10840,a(flip),b,16353,a),flip(a)]. 16370 K(x,L(y,K(z,u) * w,v5)) != v6 | K(x,L(y,w,v5)) = v6. [para(16353(a,2),10956(a,1))]. 16373 K(x,L(y,(K(z,u) * (w / K(z,u))) * (v5 \ K(z,u)),v6)) = K(x,L(y,(v5 * (K(z,u) / w)) \ K(z,u),v6)). [para(992(a,2),16369(a,1,2,2))]. 16374 K(x,L(y,z * T(u,w),v5)) = K(x,L(y,z * u,v5)). [para(3195(a,1),16369(a,1,2,2))]. 16375 K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). [para(3774(a,1),16369(a,1,2,2))]. 16376 K(x,L(y,T(z,u) * w,v5)) = K(x,L(y,z * w,v5)). [para(4014(a,1),16369(a,1,2,2))]. 16378 K(x,L(y,(z / u) * w,v5)) = K(x,L(y,(u \ z) * w,v5)). [para(4174(a,1),16369(a,1,2,2))]. 16380 K(x,L(y,z * a(u,w,K(v5,v6)),v7)) = K(x,L(y,z,v7)). [para(13318(a,1),16369(a,1,2,2))]. 16382 T(x,L(y,z * K(u,w),v5)) = x * K(x,L(y,z,v5)). [para(16375(a,1),2882(a,2,2))]. 16383 K(x,L(y,z * (u * K(w,v5)),v6)) = K(x,L(y,z * u,v6)). [para(9396(a,1),16375(a,1,2,2))]. 16384 K(x,L(y,K(z,u) * ((K(u,z) * w) * v5),v6)) = K(x,L(y,w * (v5 * K(z,u)),v6)). [para(11352(a,1),16375(a,1,2,2))]. 16385 K(x,L(y,z * (L(z,u,w) \ K(v5,v6)),v7)) = K(x,L(y,L(z,u,w) \ z,v7)). [para(10585(a,1),16375(a,1,2,2))]. 16386 K(x,L(y,z * u,z * (w \ u))) = K(x,L(y,w,z * (w \ u))). [hyper(58,a,15396,a(flip),b,16374,a),flip(a)]. 16387 T(x,L(y,z * K(u,w),v5)) = T(x,L(y,z,v5)). [hyper(280,a,2882,a,b,16382,a),flip(a)]. 16389 T(x,L(y,K(z,u) * w,v5)) = T(x,L(y,w,v5)). [hyper(58,a,14863,a,b,16387,a)]. 16391 T(T(x,y \ x),L(y,z,u)) = L(x,K(w,v5) * z,K(u,y)). [hyper(58,a,11778,a(flip),b,16389,a),flip(a)]. 16393 K(x,L(y,z \ L(u,w,K(v5,v6)),v7)) = K(x,L(y,z \ u,v7)). [para(11766(a,1),16380(a,1,2,2))]. 16394 K(x,L(y,(z \ x) * u,w)) != v5 | K(x,L(y,w,u \ z)) = v5. [para(16378(a,1),14931(a,1))]. 16395 L(x,K(y,z) * u,K(w,v5)) = L(x,u,K(w,v5)). [hyper(58,a,11778,a(flip),b,16391,a),flip(a)]. 16397 L(L(x,y,K(z,u)),y,K(w,v5)) = L(x,y,K(z,u) * K(w,v5)). [hyper(58,a,15193,a(flip),b,16395,a),flip(a)]. 16398 L(L(x,y,K(z,u)),z,u) = L(x,z,T(u,K(w,v5) * y)). [para(16395(a,1),15300(a,1,1))]. 16399 L(x,y,T(z,K(u,w) * v5)) = L(x,y,T(z,v5)). [hyper(58,a,15300,a(flip),b,16398,a),flip(a)]. 16400 L(x,y,T(K(z,u) * w,z \ w)) = L(x,y,T(z,u) * (w / z)). [para(6284(a,1),16399(a,1,3)),flip(a)]. 16401 K(x \ (y \ L(z,u,K(w,v5))),L(T(v6,v7 * (y \ z)),y \ z,v7)) = K(v6,(v7 * x) / (v7 * (y \ L(z,u,K(w,v5))))). [hyper(58,a,14383,a(flip),b,16393,a),flip(a)]. 16402 L(L(x,y,K(z,u)),w,K(v5,y)) = L(x,y,K(z,u) * K(w,v5)). [hyper(14595,a,16397,a)]. 16404 x * (a(y,z,K(u,w)) * a(y,z,K(u,w))) = w * (L(w,z,K(u,y) * K(u,y)) \ x). [para(16397(a,1),11882(a,1,2,1)),flip(a)]. 16405 x * L(a(y,z,K(u,w)) * a(y,z,K(u,w)),v5,K(v6,a(y,z,K(u,w)))) = u * (L(u,z,K(y,w) * K(y,w)) \ x). [para(16397(a,1),16278(a,2,2,1))]. 16406 L(L(x,y,K(z,u)),w,K(v5,z)) = L(x,z,K(u,y) * K(w,v5)). [hyper(58,a,14635,a(flip),b,16402,a)]. 16407 L(T(x,y),y,K(z,u) * K(w,v5)) = L(T(x,L(y,z,u)),w,K(v5,y)). [para(14532(a,1),16402(a,1,1)),flip(a)]. 16408 L(L(x,y,K(z,u)) \ 1,w,K(v5,z)) = L(x,z,K(u,y) * K(w,v5)) \ 1. [para(16406(a,1),11801(a,2,1))]. 16409 L(x \ K(y,z),u,K(w,v5)) = L(x,u,K(w,v5)) \ K(y,z). [hyper(58,a,14490,a(flip),b,16350,a),flip(a)]. 16411 L(x \ K(y,x),z,K(u,w)) = T(x \ a(w,z,K(u,x)),y). [hyper(280,a,14024,a,b,16409,a),flip(a)]. 16412 x * L(x \ K(y,z),u,K(w,v5)) != v6 | a(v5,u,K(w,x)) * K(y,z) = v6. [para(16409(a,2),11826(a,1,2))]. 16413 K(x,y) * (a(z,u,K(w,v5)) * a(v6,v7,K(v8,v5))) = v5 * L(L(v5,u,K(w,z)) \ K(x,y),v7,K(v8,v6)). [para(16409(a,2),14198(a,2,2))]. 16414 L(x \ K(y,x),z,K(u,w)) = T(x \ a(x,w,K(u,z)),y). [para(14436(a,1),16411(a,2,1,2))]. 16415 K(x,y) * L(x \ K(z,x),u,K(y,w)) = T(x,z) \ K(x,L(y,u,w)). [para(16414(a,2),14941(a,1,2))]. 16416 K(x,y) * (z * a(u,z,K(w,v5))) = L(K(x,y) * z,v5,K(w,u)). [hyper(58,a,13155,a(flip),b,16352,a)]. 16419 K(x,L(y,z,u * (z \ w))) = K(x,L(y,z,u * w)). [hyper(58,a,15428,a(flip),b,16386,a),flip(a)]. 16420 K(x,L(y * (z \ 1),z,y * ((z \ 1) / y)) * (z * u)) = K(x,L(L(y,z,z \ 1) * u,z,y * 1)). [hyper(58,a,15537,a,b,16419,a)]. 16421 L(x \ 1,x,(K(y,x * z) * K(y,u)) * z) = L(x \ 1,x,T(y,u) * ((x * z) / y)). [hyper(58,a,14768,a(flip),b,16400,a)]. 16422 L(K(x,y) * z,u,K(w,v5)) = K(x,y) * L(z,w,K(v5,u)). [para(14501(a,1),16416(a,1,2)),flip(a)]. 16423 (K(x,y) * K(y,L(T(x,z),u,w))) * y = L(K(x,K(y,z)) * y,u,K(w,x)). [hyper(280,a,15112,a,b,16422,a)]. 16424 L(K(x,L(y,z,u)) * (z * u),w,K(v5,z)) = (K(x,y) * z) * L(u,v5,K(z,w)). [hyper(280,a,13328,a(flip),b,16422,a),flip(a)]. 16425 T(L(K(x,y) * z,u,K(w,v5)),T(z,v6)) = L(z,w,K(v5,u)) * K(x,y). [para(16422(a,2),13783(a,1,1))]. 16427 L(T(x,L(y,z,u)),w,K(v5,y)) \ T(x,y) = L(x,y,K(z,u) * K(w,v5)) \ x. [para(16407(a,1),10953(a,1,1))]. 16429 L(K(x,y) * (x \ K(z,x)),u,K(y,w)) = T(x,z) \ K(x,L(y,u,w)). [hyper(13575,a,16415,a)]. 16430 L(T(K(x,y) * z,T(z,u)),w,K(v5,v6)) = L(z,v5,K(v6,w)) * K(x,y). [hyper(58,a,20,a,b,16425,a)]. 16431 L(T(x,y) \ K(x,z),u,K(z,w)) = T(x,y) \ K(x,L(z,u,w)). [para(4836(a,1),16429(a,1,1))]. 16432 L(T(x,y) \ K(x,z),u,K(z,w)) != T(x,y) \ v5 | K(x,L(z,u,w)) = v5. [para(16431(a,2),42(a,1))]. 16433 L(x * K(y,z),u,K(w,v5)) = L(x,w,K(v5,u)) * K(y,z). [para(12335(a,1),16430(a,1,1))]. 16434 K(x,y) * ((z * ((K(x,y) * z) \ u)) / K(x,y)) = L(u * K(y,x),z,K(x,y)). [hyper(280,a,15074,a,b,16433,a)]. 16435 L(L(x \ 1,y,K(z,u)),w,K(v5,z)) = L(x,z,K(u,y) * K(w,v5)) \ 1. [para(11801(a,2),16408(a,1,1))]. 16436 L(x \ 1,y,K(z,u) * K(w,v5)) = L(x,y,K(z,u) * K(w,v5)) \ 1. [hyper(58,a,16406,a(flip),b,16435,a)]. 16437 x * L(x \ 1,y,K(z,u) * K(w,v5)) != v6 | L(x,y,K(z,u) * K(w,v5)) \ x = v6. [para(16436(a,2),1930(a,1,2))]. 16438 K(x,L((L(y,z,u) \ y) \ w,y * (L(y,z,u) \ K(v5,v6)),L(y,z,u))) = K(x,y \ (L(y,z,u) * w)). [para(569(a,1),16385(a,2,2))]. 16439 (K(x,y) * K(y,L(T(x,z),u,w))) * y = L(T(y,K(x,z)),u,K(w,x)). [para(5287(a,1),16423(a,2,1))]. 16440 K(x,y) * T(y,L(T(x,z),u,w)) = L(T(y,K(x,z)),u,K(w,x)). [hyper(3378,a,16439,a)]. 16441 T(T(x,y \ 1),L(T(y,z),u,w)) = L(T(x,K(y,z)),u,K(w,y)). [hyper(58,a,6446,a,b,16440,a)]. 16442 L(T(L(x,y,z) * u,K(x,u)),y,K(z,x)) = T(u * L(x,y,z),x \ 1). [hyper(58,a,11693,a(flip),b,16441,a),flip(a)]. 16443 L(L(x,y,z) * u,y,K(z,x)) = T(u * L(x,y,z),x \ 1). [para(3160(a,1),16442(a,1,1))]. 16444 T((x / L(y,z,u)) * L(y,z,u),y \ 1) \ (L(y,z,u) * x) = (L(y,z,u) / L(x,z,K(u,y))) * x. [para(16443(a,1),6934(a,1,1))]. 16445 L((K(x,y) * z) * u,w,K(v5,z)) = (K(x,y) * z) * L(u,v5,K(z,w)). [para(11090(a,1),16424(a,1,1))]. 16446 L((K(x,y) * z) * (u \ z),x,K(y,z)) = ((K(x,y) * z) / u) * z. [hyper(280,a,15481,a(flip),b,16445,a),flip(a)]. 16447 ((K(x,y) * z) / u) * z = K(x,y) * (z * (u \ z)). [hyper(58,a,14844,a(flip),b,16446,a),flip(a)]. 16448 K(x,y) * (z * ((z * a(u,u,w)) \ z)) = a(u,u,w) \ (K(x,y) * z). [hyper(58,a,14010,a(flip),b,16447,a),flip(a)]. 16449 K(x,y) * (z * (z \ (z / a(u,u,w)))) = a(u,u,w) \ (K(x,y) * z). [para(304(a,1),16448(a,1,2,2))]. 16450 K(x,y) * (z * (z \ (a(u,u,w) \ z))) = a(u,u,w) \ (K(x,y) * z). [para(10466(a,1),16449(a,1,2,2,2))]. 16451 a(x,x,y) \ (K(z,u) * w) = K(z,u) * (a(x,x,y) \ w). [hyper(294,a,16450,a),flip(a)]. 16453 (K(x,y) * a(z,z,u)) \ w = K(y,x) * (a(z,z,u) \ w). [hyper(58,a,15073,a,b,16451,a)]. 16454 (a(x,x,y) * K(z,u)) \ w = K(u,z) * (a(x,x,y) \ w). [para(10464(a,2),16453(a,1,1))]. 16455 (a(x,x,y) * K(z,u)) \ w != K(u,z) * (a(x,x,y) \ v5) | v5 = w. [para(16454(a,1),42(a,1)),flip(a)]. 16456 T(x,L(y,z,u)) \ L(T(x,y),w,K(y,v5)) = L(x,y,K(z,u) * K(w,v5)) \ x. [hyper(58,a,13979,a(flip),b,16427,a)]. 16457 T(x * ((K(y,z) * x) \ u),K(y,z)) = L(u * K(z,y),x,K(y,z)). [hyper(5810,a,16434,a)]. 16458 L(x * K(y,z),u,K(z,y)) = (x / u) * (u * K(y,z)). [hyper(58,a,15188,a(flip),b,16457,a),flip(a)]. 16459 x \ (K(y,z) * ((K(y,z) \ x) * (u * K(z,y)))) = (u / (K(y,z) \ x)) * ((K(y,z) \ x) * K(z,y)). [hyper(641,a,16458,a)]. 16460 T(x,L(y,z,u)) \ T(x,L(y,w,v5)) = L(x,y,K(z,u) * K(v5,w)) \ x. [para(14531(a,1),16456(a,1,2))]. 16461 K(x,L(y,z,u)) * K(L(y,w,v5),x) = L(x,y,K(w,v5) * K(u,z)) \ x. [hyper(4717,a,16460,a)]. 16462 K(x,L(y,z,u)) * K(y,L(x,w,v5)) = L(x,y,K(w,v5) * K(u,z)) \ x. [para(9511(a,1),16461(a,1,2))]. 16463 a(x,y,K(z,u)) * a(z,w,K(x,v5)) = L(x,z,K(v5,w) * K(y,u)) \ x. [hyper(14919,a,16462,a)]. 16464 a(x,y,K(z,u)) * a(x,w,K(u,v5)) = L(x,u,K(w,v5) * K(z,y)) \ x. [hyper(14730,a,16463,a)]. 16465 L(x,y,K(z,u) * K(w,v5)) \ x != v6 | a(y,v5,K(x,w)) * a(y,u,K(x,z)) = v6. [para(16463(a,1),14488(a,1))]. 16466 a(x,y,K(z,u)) * a(u,w,K(z,v5)) = L(u,z,K(w,v5) * K(x,y)) \ u. [hyper(10957,a,16464,a)]. 16467 T((L(x,y,K(z,L(u,w,v5)) * K(u,z)) \ x) * K(y,u),a(u,z,K(y,x))) = K(y,L(u,z,x)) * L(K(y,u) \ (a(u,z,K(y,x)) \ K(y,u)),w,v5). [para(16466(a,1),16267(a,1,1,1))]. 16468 K(x,L(y,(K(z,u) * w) * v5,v6)) = K(x,L(y,w * (v5 * K(u,z)),v6)). [hyper(16370,a,16384,a)]. 16470 K(x,L(y,(z \ K(u,w)) \ v5,v6)) = K(x,L(y,z * (v5 * K(u,w)),v6)). [hyper(58,a,14799,a,b,16468,a)]. 16471 K(x,L(y,(z \ K(u,w)) \ v5,v6)) = K(x,L(y,z * v5,v6)). [hyper(280,a,16383,a(flip),b,16470,a),flip(a)]. 16473 K(x,L(y,z * (K(u,w) * v5),v6)) = K(x,L(y,v5 * z,v6)). [hyper(58,a,15019,a(flip),b,16471,a)]. 16475 K(L(x,y,z),L(u,(x \ L(x,y,z)) * w,v5)) = K(L(x,y,z),L(u,w * (x \ K(x,v6)),v5)). [hyper(58,a,14870,a(flip),b,16473,a),flip(a)]. 16476 a(x,y,K(z,u)) * ((x * (y * K(w,v5))) * K(u,z)) = x * (y * (K(u,z) * K(w,v5))). [hyper(13276,a,16359,a)]. 16479 (x * (y * K(z,u))) * K(w,L(v5,y,x)) = x * (y * (K(w,v5) * K(z,u))). [hyper(58,a,14936,a(flip),b,16476,a)]. 16480 L(x \ 1,x,K(y,z) * (K(y,x * u) * u)) = L(x \ 1,x,T(y,z) * ((x * u) / y)). [para(14558(a,1),16421(a,1,3))]. 16481 L(x \ 1,x,K(y,z) * (u * K(y,u * x))) = L(x \ 1,x,T(y,z) * ((x * u) / y)). [para(5492(a,1),16480(a,1,3,2))]. 16482 L(x \ 1,x,K(y,z) * (u * K(y,u * x))) = L(x \ 1,x,K(y,z) * (x * u)). [hyper(280,a,10753,a(flip),b,16481,a),flip(a)]. 16483 L(x \ 1,x,K(y,z) * (u * K(y,u * x))) = L(x \ 1,x,K(y,z) * u). [hyper(280,a,11187,a(flip),b,16482,a),flip(a)]. 16484 a(K(x,y) * (z * (u * K(y,x))),K(w,v5),v6) = a(v6,K(v5,w),z * L(u,y,K(x,z))). [para(14503(a,1),16360(a,2,3))]. 16486 a(K(x,y) * (z * (u * K(y,x))),K(w,v5),v6) = a(v6,K(v5,w),L(z * u,x,K(z,y))). [para(14538(a,2),16484(a,2,3))]. 16487 K(L(x,y,z),L(u,w * (x \ K(x,v5)),v6)) = K(L(x,y,z),L(u,v6,w \ x)). [hyper(16394,a,16475,a),flip(a)]. 16489 K(L(x,y,z),L(u,w * (x \ K(x,v5)),v6)) != v7 | K(x,L(L(u,v6,w \ x),y,z)) = v7. [para(16487(a,2),9517(a,1))]. 16490 K(x,y) * (a(z,u,K(w,v5)) * a(v6,v7,K(v8,v5))) = v5 * L(L(v5 \ K(x,y),u,K(w,z)),v7,K(v8,v6)). [para(16409(a,2),16413(a,2,2,1))]. 16491 x \ (K(y,z) * ((K(z,y) * x) * (u * K(z,y)))) = (u / (K(y,z) \ x)) * ((K(y,z) \ x) * K(z,y)). [para(4271(a,1),16459(a,1,2,2,1))]. 16492 K(x,y) * (a(z,u,K(w,v5)) * a(v6,u,K(v7,v5))) = v5 * L(v5 \ K(x,y),u,K(w,z) * K(v7,v6)). [para(16397(a,1),16490(a,2,2))]. 16493 x * L(x \ K(y,z),u,K(w,v5) * K(w,v5)) = x * (L(x,u,K(w,v5) * K(w,v5)) \ K(y,z)). [hyper(58,a,16404,a(flip),b,16492,a),flip(a)]. 16494 x \ (K(y,z) * (K(z,y) * ((x * u) * K(z,y)))) = (u / (K(y,z) \ x)) * ((K(y,z) \ x) * K(z,y)). [para(16211(a,1),16491(a,1,2,2))]. 16495 (x / (K(y,z) \ u)) * ((K(y,z) \ u) * K(z,y)) = u \ ((u * x) * K(z,y)). [para(4268(a,1),16494(a,1,2)),flip(a)]. 16497 (x / (K(y,z) * u)) * ((K(z,y) \ u) * K(y,z)) = u \ ((u * x) * K(y,z)). [para(4271(a,1),16495(a,1,1,2))]. 16498 (x / (K(y,z) * u)) * ((K(y,z) * u) * K(y,z)) = u \ ((u * x) * K(y,z)). [para(4271(a,1),16497(a,1,2,1))]. 16499 (x / (K(y,z) * u)) * (K(y,z) * (u * K(y,z))) = u \ ((u * x) * K(y,z)). [para(857(a,1),16498(a,1,2))]. 16500 x \ ((x * y) * K(z,u)) = (y / x) * (x * K(z,u)). [hyper(58,a,15437,a(flip),b,16499,a),flip(a)]. 16501 K(x,y) * ((z / T(x,y)) * (T(x,y) * K(u,w))) = x \ ((T(x,y) * z) * K(u,w)). [para(16500(a,1),4012(a,1,2))]. 16502 (K(x,L(y,z,u)) / (z * u)) * ((z * u) * K(w,v5)) = (z * u) \ ((u * (T(z,u) * K(x,y))) * K(w,v5)). [para(9402(a,1),16500(a,1,2,1)),flip(a)]. 16503 x \ (K(y,z * z) * (x * u)) = (u / x) * (x * K(y,z * z)). [para(11041(a,2),16500(a,1,2))]. 16504 x \ (K(y,z * z) * (x * u)) = x * ((K(z * z,y) * x) \ u). [hyper(280,a,15190,a(flip),b,16503,a),flip(a)]. 16505 K(x,y) * ((z / x) * (x * K(u,w))) = x \ ((T(x,y) * z) * K(u,w)). [para(15435(a,1),16501(a,1,2))]. 16506 T(T(x,y) * (z / (x * K(u,w))),x) = x \ ((T(x,y) * z) * K(w,u)). [hyper(58,a,9463,a,b,16505,a)]. 16508 T(x \ ((T(x,y) * z) * K(u,w)),K(x,v5)) = T(T(x,y) * (z / (x * K(w,u))),T(x,v5)). [para(16506(a,1),5748(a,1,1))]. 16509 T(T(x,y) * (z / (x * K(T(u,z),w))),T(x,y)) = (K(w,u) * (z * T(x,y))) / x. [hyper(58,a,11226,a(flip),b,16508,a),flip(a)]. 16510 T(T(x,y) * (z / (x * K(u,T(w,z)))),T(x,y)) = (K(w,u) * (z * T(x,y))) / x. [para(3638(a,1),16509(a,1,1,2,2,2))]. 16511 (x / (y * K(z,T(u,x)))) * T(y,w) = (K(u,z) * (x * T(y,w))) / y. [hyper(1021,a,16510,a)]. 16512 (x / y) * (T(y,z) * K(T(u,x),w)) = (K(u,w) * (x * T(y,z))) / y. [hyper(58,a,15442,a(flip),b,16511,a)]. 16513 (x / y) * (T(y,z) * K(u,T(w,x))) = (K(u,w) * (x * T(y,z))) / y. [para(3638(a,1),16512(a,1,2,2))]. 16514 (K(x,y) * (z * T(u,z))) / u = (K(x,y) * u) * (z / u). [hyper(58,a,12426,a(flip),b,16513,a),flip(a)]. 16515 (K(x,y) * (z * u)) / z = (K(x,y) * z) * (u / z). [para(101(a,1),16514(a,1,1,2))]. 16516 (K(x,y) * z) * (T(u,z) / z) = (K(x,y) * (u * z)) / z. [para(101(a,1),16515(a,1,1,2)),flip(a)]. 16517 (K(x,y) * (z * u)) / u = (K(x,y) * u) * (u \ z). [para(929(a,1),16516(a,1,2)),flip(a)]. 16518 K(x,L(y \ (z * K(u,w)),v5,L(v6,y,K(w,u)))) = a(x,y \ z,K(v5,v6)) * K(x,K(w,u) * (y \ z)). [para(13646(a,1),16357(a,2,2))]. 16520 K(x,L(y * (z \ 1),z,y * ((z \ 1) / y)) * (z * u)) = K(x,L(L(y,z,z \ 1) * u,z,y)). [para(3(a,1),16420(a,2,2,3))]. 16521 K(x,L(L(y,z,z \ 1) * u,z,y)) = K(x,L(y * (z \ 1),z,z \ 1) * (z * u)). [para(6455(a,1),16520(a,1,2,1)),flip(a)]. 16522 K(x,L((L(y,z,u) \ y) \ w,L(y,z,u) \ K(v5,v6),L(y,z,u))) = K(x,y \ (L(y,z,u) * w)). [hyper(14943,a,16438,a)]. 16523 K(x,L((L(y,z,u) \ y) \ w,K(v5,v6),L(y,z,u))) = K(x,y \ (L(y,z,u) * w)). [hyper(58,a,14705,a(flip),b,16522,a)]. 16524 K(x,(L(y,z,u) \ y) \ w) = K(x,y \ (L(y,z,u) * w)). [hyper(14651,a,16523,a)]. 16526 K(x,(L(y,z,u) \ y) \ w) = K(x,L(y,z,u) * (y \ w)). [para(1914(a,1),16524(a,2,2))]. 16527 K(x,y / (L(z,u,w) \ z)) = K(x,L(z,u,w) * (z \ y)). [hyper(13216,a,16526,a)]. 16528 K(x,L(y,z,u) * (y \ w)) = K(x,w * (y \ L(y,z,u))). [hyper(58,a,10616,a(flip),b,16527,a),flip(a)]. 16529 K(x,(y / z) * L(z,u,w)) = K(x,y * (z \ L(z,u,w))). [hyper(58,a,13362,a(flip),b,16528,a)]. 16530 K(x,(y * z) * (z \ L(z,u,w))) = K(x,y * L(z,u,w)). [para(6(a,1),16529(a,1,2,1)),flip(a)]. 16531 K(x,(y * (z \ u)) * ((z \ u) \ ((z \ 1) * u))) = K(x,y * L(z \ u,z,z \ 1)). [para(680(a,1),16530(a,1,2,2,2))]. 16532 T(x,(y * z) * (z \ L(z,u,w))) = x * K(x,y * L(z,u,w)). [para(16530(a,1),2882(a,2,2))]. 16533 K(x,(y * (z / u)) * a(z,u,u \ 1)) = K(x,y * L(z / u,u,u \ 1)). [para(6177(a,1),16530(a,1,2,2))]. 16534 K(x,(y * (z \ 1)) * ((z \ 1) \ (u * ((z * u) \ 1)))) = K(x,y * L(z \ 1,u,u \ 1)). [para(7043(a,1),16530(a,1,2,2,2))]. 16535 K(x,(y * ((z \ 1) \ u)) * a(u,z,z \ 1)) = K(x,y * L((z \ 1) \ u,z,z \ 1)). [para(8700(a,1),16530(a,1,2,2))]. 16536 T(x,(y * z) * (z \ L(z,u,w))) = T(x,y * L(z,u,w)). [hyper(280,a,2882,a,b,16532,a),flip(a)]. 16537 T(x,(y * z) * (T(y,z) \ L(T(y,z),u,w))) = T(x,z * L(T(y,z),u,w)). [para(101(a,1),16536(a,1,2,1))]. 16538 T(x,(y * (z \ u)) * ((z \ u) \ ((z \ 1) * u))) = T(x,y * L(z \ u,z,z \ 1)). [para(680(a,1),16536(a,1,2,2,2))]. 16539 T(x,(y * (z \ 1)) * ((z \ 1) \ (u * ((z * u) \ 1)))) = T(x,y * L(z \ 1,u,u \ 1)). [para(7043(a,1),16536(a,1,2,2,2))]. 16540 K(x,(y * (z / u)) * a(z,u,u \ 1)) = K(x,y * (z * (u \ 1))). [para(3950(a,1),16533(a,2,2,2))]. 16541 K(x,(y * (z / u)) * a(u,u,z)) = K(x,y * (z * (u \ 1))). [para(15821(a,1),16540(a,1,2,2))]. 16542 T(x,y * (z * (T(y,z) \ L(T(y,z),u,w)))) = T(x,z * L(T(y,z),u,w)). [para(7667(a,1),16537(a,1,2))]. 16543 T(x,y * (z * (T(y,z) \ L(T(y,z),u,w)))) = T(x,L(y,u,w) * z). [para(224(a,1),16542(a,2,2))]. 16544 T(x,y * ((y \ L(y,z,u)) * w)) = T(x,L(y,z,u) * w). [para(15967(a,1),16543(a,1,2,2))]. 16545 K(x,(y * (z \ u)) * a(u,z,z \ 1)) = K(x,y * L(z \ u,z,z \ 1)). [para(15377(a,1),16531(a,1,2,2))]. 16546 K(x,(y * (z \ u)) * a(u,z,z \ 1)) = K(x,y * ((z \ 1) * u)). [para(680(a,1),16545(a,2,2,2))]. 16547 K(x,(y * (z \ u)) * a(z,z,u)) = K(x,y * ((z \ 1) * u)). [para(15821(a,1),16546(a,1,2,2))]. 16548 T(x,(y * (z \ u)) * a(u,z,z \ 1)) = T(x,y * L(z \ u,z,z \ 1)). [para(15377(a,1),16538(a,1,2,2))]. 16549 T(x,(y * (z \ u)) * a(u,z,z \ 1)) = T(x,y * ((z \ 1) * u)). [para(680(a,1),16548(a,2,2,2))]. 16550 T(x,(y * (z \ u)) * a(z,z,u)) = T(x,y * ((z \ 1) * u)). [para(15821(a,1),16549(a,1,2,2))]. 16551 T(x,y * ((z \ 1) * u)) = T(x,y * (z \ u)). [hyper(11360,a,16550,a),flip(a)]. 16552 T(x,y * ((z \ 1) * u)) != w | T(x,y * (z \ u)) = w. [para(16550(a,1),11360(a,1))]. 16553 T(x,y * ((z * u) \ 1)) = T(x,y * (u \ (z \ 1))). [para(512(a,1),16551(a,1,2,2))]. 16554 T(x,y * (z \ (u \ 1))) = T(x,y / (u * z)). [hyper(10814,a,16553,a),flip(a)]. 16555 T(x,y * (z \ (u \ 1))) != w | T(x,y / (u * z)) = w. [para(16553(a,1),10814(a,1))]. 16556 K(x,T(y,z / (u * w))) = K(x,T(y,u * (w * z))). [para(16554(a,1),13749(a,1,2))]. 16557 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). [hyper(12304,a,16556,a)]. 16558 K(x,T(((y * z) * u) / w,y * (z * u))) = K(x,w \ ((y * z) * u)). [hyper(10084,a,16557,a),flip(a)]. 16561 K((x \ (y \ (z \ 1))) * u,w) = K(w,u \ ((z * y) * x)). [hyper(58,a,15962,a(flip),b,16558,a)]. 16562 K(x,y \ ((z / (u \ 1)) * w)) = K(x,y \ ((z * u) * w)). [hyper(15947,a,16561,a)]. 16563 K(x,(y * ((z \ 1) \ u)) * a(u,z,z \ 1)) = K(x,y * (z * u)). [para(7044(a,1),16535(a,2,2,2))]. 16564 K(x,(y * ((z \ 1) \ u)) * a(z,z,u)) = K(x,y * (z * u)). [para(15821(a,1),16563(a,1,2,2))]. 16565 K(x,(y * (z \ 1)) * ((L(z,u,u \ 1) / z) \ 1)) = K(x,y * L(z \ 1,u,u \ 1)). [para(3999(a,1),16534(a,1,2,2))]. 16566 K(x,(y * (z \ 1)) * ((z \ L(z,u,u \ 1)) \ 1)) = K(x,y * L(z \ 1,u,u \ 1)). [para(445(a,1),16565(a,1,2,2,1))]. 16567 K(x,(y * (z \ 1)) * (a(z,u,u \ 1) \ 1)) = K(x,y * L(z \ 1,u,u \ 1)). [para(3955(a,1),16566(a,1,2,2,1))]. 16568 K(x,(y * (z \ 1)) * a(u,u \ 1,z)) = K(x,y * L(z \ 1,u,u \ 1)). [para(7069(a,1),16567(a,1,2,2))]. 16569 K(x,(y * (z \ 1)) * a(u,u \ 1,z)) = K(x,y * (u * ((z * u) \ 1))). [para(7043(a,1),16568(a,2,2,2))]. 16570 K(x,(y * (z \ 1)) * a(u,u \ 1,z)) = K(x,y / L(z,u,u \ 1)). [hyper(280,a,10617,a(flip),b,16569,a),flip(a)]. 16571 K(x,(y * (z \ 1)) * a(u,u,z \ 1)) = K(x,y / L(z,u,u \ 1)). [para(15823(a,1),16570(a,1,2,2))]. 16572 T(x,(y * (z \ 1)) * ((L(z,u,u \ 1) / z) \ 1)) = T(x,y * L(z \ 1,u,u \ 1)). [para(3999(a,1),16539(a,1,2,2))]. 16573 T(x,(y * (z \ 1)) * ((z \ L(z,u,u \ 1)) \ 1)) = T(x,y * L(z \ 1,u,u \ 1)). [para(445(a,1),16572(a,1,2,2,1))]. 16574 T(x,(y * (z \ 1)) * (a(z,u,u \ 1) \ 1)) = T(x,y * L(z \ 1,u,u \ 1)). [para(3955(a,1),16573(a,1,2,2,1))]. 16575 T(x,(y * (z \ 1)) * a(u,u \ 1,z)) = T(x,y * L(z \ 1,u,u \ 1)). [para(7069(a,1),16574(a,1,2,2))]. 16576 T(x,(y * (z \ 1)) * a(u,u \ 1,z)) = T(x,y * (u * ((z * u) \ 1))). [para(7043(a,1),16575(a,2,2,2))]. 16577 T(x,(y * (z \ 1)) * a(u,u \ 1,z)) = T(x,y / L(z,u,u \ 1)). [hyper(280,a,10742,a(flip),b,16576,a),flip(a)]. 16578 T(x,(y * (z \ 1)) * a(u,u,z \ 1)) = T(x,y / L(z,u,u \ 1)). [para(15823(a,1),16577(a,1,2,2))]. 16579 T(x,y / L(z,u,u \ 1)) = T(x,y * (z \ 1)). [hyper(11360,a,16578,a),flip(a)]. 16580 T(x,y / L(z,u,u \ 1)) = T(x,y / z). [hyper(280,a,10731,a(flip),b,16579,a),flip(a)]. 16581 T(T(x * ((y * x) \ 1),z),u / y) = T(T(x * ((y * x) \ 1),u),z). [hyper(58,a,10991,a(flip),b,16580,a),flip(a)]. 16582 T(x,y / ((z \ 1) * u)) = T(x,y / (z \ u)). [para(680(a,1),16580(a,1,2,2))]. 16583 T(x,y * ((z \ 1) * u)) = T(x,y / (u \ z)). [hyper(10821,a,16582,a)]. 16584 T(x,y / (z \ u)) = T(x,y * (u \ z)). [hyper(16552,a,16583,a),flip(a)]. 16585 T(T(x,K(y,z * u)),y * (z \ u)) = T(x,(u \ z) \ y). [hyper(12499,a,16584,a),flip(a)]. 16586 T(x,(y \ z) \ u) = T(x,(z \ y) * u). [hyper(58,a,12498,a(flip),b,16585,a),flip(a)]. 16587 K(x,L(T(y,(z \ u) * w),v5,v6)) = K(x,L(T(y,z * (u * w)),v5,v6)). [para(16586(a,1),13860(a,1,2,1))]. 16589 K(x,L(T(y,(z / u) * w),v5,v6)) = K(x,L(T(y,u * (z * w)),v5,v6)). [hyper(58,a,12704,a,b,16587,a)]. 16590 K(x \ y,L(T(z,u * (w * y)),y,u \ w)) = K(z,((u \ w) * x) / ((u \ w) * y)). [hyper(58,a,9596,a(flip),b,16587,a),flip(a)]. 16591 K(x \ y,L(T(z,u * (w * y)),y,u \ w)) = K(z,((w / u) * x) / ((w / u) * y)). [hyper(58,a,13301,a(flip),b,16589,a),flip(a)]. 16592 (L(x,y,z) / L(u,y,K(z,x))) * u = T(u,x \ 1) \ (L(x,y,z) * u). [para(7(a,1),16444(a,1,1,1)),flip(a)]. 16593 (L(x,y,z) / L(u,y,K(z,x))) * u = T(K(x \ 1,u) * L(x,y,z),u). [hyper(280,a,4389,a,b,16592,a),flip(a)]. 16594 (L(x,y,z) / L(u,y,K(z,x))) * u = T(K(u,x) * L(x,y,z),u). [para(3571(a,1),16593(a,2,1,1))]. 16595 T(K(x,y) * L(y,z,u),x) = a(y,z,K(u,x)) * L(y,z,u). [hyper(58,a,13682,a(flip),b,16594,a),flip(a)]. 16596 T(K(x,y) * L(y,z,u),x) = L(y,z,T(u,x)). [hyper(280,a,15320,a(flip),b,16595,a),flip(a)]. 16597 T(L(x,y,z) * K(u,x),u) = L(x,y,T(z,u)). [hyper(6214,a,16596,a)]. 16598 K(x,y) * (L(T(x,y),z,u) \ w) = L(x,z,T(u,y)) \ w. [para(16597(a,1),6522(a,1,1)),flip(a)]. 16599 T(x,y) * (L(T(x,y),z,u) \ w) = x * (L(x,z,T(u,y)) \ w). [para(16598(a,1),4019(a,1,2)),flip(a)]. 16600 ((x * (y * T(z,u))) / T(z,u)) \ (x * y) = (x * y) \ (z * (L(z,y,T(x,u)) \ (x * y))). [hyper(111,a,16599,a(flip),b,10908,a),flip(a)]. 16602 T((x * y) \ (z * (L(z,y,x) \ (x * y))),u) = ((x * (y * T(z,u))) / T(z,u)) \ (x * y). [hyper(280,a,15755,a,b,16600,a)]. 16603 ((x * (y * T(z,u))) / T(z,u)) \ (x * y) = T(((x * (y * z)) / z) \ (x * y),u). [para(10909(a,1),16602(a,1,1)),flip(a)]. 16604 ((x * (K(y,z) * T(T(u * K(z,y),w),v5))) / T(T(u * K(z,y),w),v5)) \ (x * K(y,z)) = T(((x * (T(K(z,y) * u,w) * K(y,z))) / T(u * K(z,y),w)) \ (x * K(y,z)),v5). [para(5586(a,2),16603(a,2,1,1,1,2))]. 16605 L(T(((x * (K(y,z) * u)) / u) \ (x * K(y,z)),w),(x * (K(y,z) * T(u,w))) / T(u,w),K(z,y)) = (K(z,y) * ((x * (K(y,z) * T(u,w))) / T(u,w))) \ T(x,K(y,z)). [para(16603(a,1),4468(a,1,1))]. 16606 (x * y) \ ((y * (T(x,y) * K(z,u))) * K(w,v5)) = K(z,L(u,x,y)) * K(w,v5). [hyper(58,a,14915,a(flip),b,16502,a),flip(a)]. 16608 (x * y) \ (((K(z,u) * x) * y) * K(w,v5)) = K(z,L(T(u,y * x),x,y)) * K(w,v5). [para(12411(a,1),16606(a,1,2,1))]. 16609 (x * y) \ (y * (T(x,y) * (K(z,u) * K(w,v5)))) = K(w,L(v5,x,y)) * K(z,L(u,T(x,y),y)). [para(16479(a,1),16606(a,1,2))]. 16610 K(x,L(T((y * z) * u,z * y),y,z)) * K(u * (y * z),x) = a(y,x,K(u,z)). [hyper(58,a,15230,a(flip),b,16608,a),flip(a)]. 16611 K((x * y) * z,u) * K(u,L(T(z * (x * y),y * x),x,y)) = a(x,u,K(z,y)). [hyper(58,a,14181,a(flip),b,16610,a)]. 16612 K((x * y) * z,u) * K(u,L((x * y) * z,x,y)) = a(x,u,K(z,y)). [para(12409(a,1),16611(a,1,2))]. 16613 K(x,L(y,z,u)) * K(w,L(v5,T(z,u),u)) = L(K(w,v5) * K(x,y),z,u). [hyper(6711,a,16609,a),flip(a)]. 16614 K(x,L(y,z,u)) * K(w,L(v5,z,u)) = L(K(w,v5) * K(x,y),z,u). [para(6706(a,1),16613(a,1,2,2))]. 16615 K(x,y \ ((y / z) * L(z,u,w))) * K(v5,L(v6,z,y)) = L(K(v5,v6) * K(x,z \ L(z,u,w)),z,y). [para(2403(a,1),16614(a,1,1,2))]. 16616 K(x,L(y,z,u)) * K(w,u \ ((u / z) * L(z,v5,v6))) = L(K(w,z \ L(z,v5,v6)) * K(x,y),z,u). [para(2403(a,1),16614(a,1,2,2))]. 16617 L(K(x,y) * K(z,u * L(u \ 1,w,v5)),v6,u) = K(z,u * L(u \ 1,w,v5)) * K(x,L(y,v6,u)). [para(8188(a,1),16614(a,1,1,2)),flip(a)]. 16619 L(K(x,y) * K(z,u \ L(u,w,v5)),u,v6) = a(z,v5,K(u,w)) * K(x,L(y,u,v6)). [para(14795(a,1),16615(a,1,1)),flip(a)]. 16620 L(K(x,y) * a(z,u,K(w,v5)),w,v6) = a(z,u,K(w,v5)) * K(x,L(y,w,v6)). [para(14794(a,1),16619(a,1,1,2))]. 16622 L(K(x,y \ L(y,z,u)) * K(w,v5),y,v6) = K(w,L(v5,y,v6)) * a(x,u,K(y,z)). [para(14795(a,1),16616(a,1,2)),flip(a)]. 16623 L(a(x,y,K(z,u)) * K(w,v5),z,v6) = K(w,L(v5,z,v6)) * a(x,y,K(z,u)). [para(14794(a,1),16622(a,1,1,1))]. 16625 L(a(x,y,K(z,u)) * K(w,v5),z,v6) = a(u,y,K(x,z)) * K(w,L(v5,z,v6)). [hyper(280,a,13279,a,b,16623,a),flip(a)]. 16626 L(a(x,y,K(z,(u * w) \ ((u * (w * v5)) / v5))) * K(v6,v7),z,v8) = K(v6,L(v7,z,v8)) * a(x,y,a(u,w,K(v5,z))). [para(9730(a,1),16623(a,2,2,3))]. 16627 L(K(x,y) * K(z,u * L(u \ 1,w,v5)),v6,u) = a(z,v5,K(w,u)) * K(x,L(y,v6,u)). [para(15224(a,1),16617(a,2,1))]. 16628 L(K(x,y) * a(z,u,K(w,v5)),v6,v5) = a(z,u,K(w,v5)) * K(x,L(y,v6,v5)). [para(15224(a,1),16627(a,1,1,2))]. 16629 L(K(x,y) * a(z,u,K(a(w,v5,v6),v7)),v8,v7) = a(z,u,a(w,v5,K(v6,v7))) * K(x,L(y,v8,v7)). [para(9700(a,2),16628(a,2,1,3))]. 16630 L(K(x,y) * a(z,u,a(w,v5,K(v6,v7))),v8,v7) = a(z,u,a(w,v5,K(v6,v7))) * K(x,L(y,v8,v7)). [para(9700(a,2),16629(a,1,1,2,3))]. 16631 L(K(x,y) * a(z,u,a(w,v5,K(v6,v7))),v8,v7) = K(x,L(y,v8,v7)) * a(z,u,a(w,v5,K(v6,v7))). [hyper(280,a,13173,a,b,16630,a),flip(a)]. 16632 K(x,L(y \ (z * K(u,w)),v5,L(v6,y,K(w,u)))) = K(x,L(K(u,w) * (y \ z),v5,v6)). [hyper(280,a,16355,a(flip),b,16518,a),flip(a)]. 16633 K(x,L(y \ (z * K(u,w)),v5,v6)) = K(x,L(K(u,w) * (y \ z),v5,v6)). [hyper(13330,a,16632,a)]. 16635 K(x,L(K(y,z) * (u \ w),w,z)) = K(x,((T(z,y) / w) * u) \ z). [hyper(58,a,15443,a(flip),b,16633,a),flip(a)]. 16636 K(x,((T(y,z) / u) * w) \ y) = K(x,(T(y,z) * w) \ (y * u)). [hyper(58,a,15076,a(flip),b,16635,a),flip(a)]. 16637 K(x,((T(y,z) / u) * w) \ y) = K(x,(y * w) \ (T(y,z) * u)). [hyper(280,a,15203,a(flip),b,16636,a),flip(a)]. 16638 K(x,(y * z) \ (T(y,K(u,w)) * v5)) = K(x,y \ ((T(y,K(u,w)) / z) * v5)). [hyper(12819,a,16637,a),flip(a)]. 16639 K(x,y \ ((T(y,K(z,u)) / w) * v5)) = K(x,(y * w) \ (y * v5)). [hyper(14826,a,16638,a),flip(a)]. 16640 K(x,(y * z) \ (y * u)) = K(x,y \ ((y / z) * u)). [hyper(58,a,15672,a(flip),b,16639,a),flip(a)]. 16642 K(x,T(y,z) \ ((T(y,z) / u) * w)) = K(x,(y * u) \ (y * w)). [hyper(58,a,15202,a(flip),b,16640,a),flip(a)]. 16643 K(x,(y \ 1) \ (((y \ 1) / (z \ 1)) * u)) = K(x,((z * y) \ 1) \ ((y \ 1) * u)). [para(512(a,1),16640(a,1,2,1)),flip(a)]. 16644 K(x,T(T(y,z),u) \ ((T(T(y,z),u) / w) * (z \ y))) = K(x,(T(T(y,z),u) * w) \ ((z \ y) * T(y,u))). [para(972(a,1),16640(a,1,2,2)),flip(a)]. 16645 K(x,T(y * z,K(z,u)) \ (z * w)) = K(x,z \ ((z / T(y,T(z,u))) * w)). [para(4626(a,2),16640(a,1,2,1))]. 16646 x / (x * K(y,z \ ((z / u) * w))) = K((z * u) \ (z * w),T(y,x)). [para(16640(a,1),5537(a,1,2,2))]. 16647 K(x,T(y,z) \ ((T(y,z) / u) * w)) = K(x,y \ ((y / u) * w)). [hyper(280,a,16640,a(flip),b,16642,a),flip(a)]. 16649 K((x * y) \ (x * z),T(u,w)) = K(x \ ((x / y) * z),T(u,w)). [hyper(5538,a,16646,a),flip(a)]. 16650 K(x \ ((x / y) * z),T(u,y)) = K(u,(y * x) / (z * x)). [hyper(11221,a,16649,a),flip(a)]. 16651 K(x,(y * (z / u)) / T(z,u \ z)) = K(x,(y * z) / (u * z)). [hyper(58,a,11350,a(flip),b,16650,a)]. 16652 K(x,((y * (z / u)) / z) * K(z,u)) = K(x,(y * z) / (u * z)). [para(4421(a,1),16651(a,1,2))]. 16653 K(x,(y * z) / (u * z)) = K(x,z / (u * (y \ z))). [para(4833(a,1),16652(a,1,2)),flip(a)]. 16654 K(x,y / (T(z,u) * ((u \ z) \ y))) = K(u,L(T(x,z),z,y)). [hyper(58,a,12472,a(flip),b,16653,a),flip(a)]. 16655 K(x,y \ ((y / T(z,T(y,u))) * w)) = K(x,(z * y) \ (y * w)). [hyper(12551,a,16645,a),flip(a)]. 16656 K(x,y \ (T(z \ y,K(y,u)) * w)) = K(x,(z * y) \ (y * w)). [para(10678(a,1),16655(a,1,2,2,1))]. 16657 K(x,(y * z) \ (z * u)) = K(x,z \ ((y \ z) * u)). [hyper(14826,a,16656,a),flip(a)]. 16658 K(x,a(y,y,z) \ ((u \ a(y,y,z)) * w)) = K(x,T(u,a(y,y,z)) \ w). [hyper(15085,a,16657,a),flip(a)]. 16659 K(x,a(y,y,z) \ ((u \ a(y,y,z)) * w)) = K(x,u \ w). [hyper(280,a,13627,a(flip),b,16658,a),flip(a)]. 16661 K(x,(a(y,y,z) / u) \ w) = K(x,a(y,y,z) \ (u * w)). [para(70(a,1),16659(a,1,2,2,1)),flip(a)]. 16662 K(x,(y \ a(z,z,u)) \ w) = K(x,a(z,z,u) \ (y * w)). [para(10463(a,1),16661(a,1,2,1))]. 16663 K(x,(y \ 1) \ (((y \ 1) / (z \ 1)) * u)) = K(x,(z * y) * ((y \ 1) * u)). [hyper(280,a,10520,a(flip),b,16643,a),flip(a)]. 16664 K(x,(y \ 1) \ (((z \ y) \ 1) * u)) = K(x,(z * y) * ((y \ 1) * u)). [para(522(a,1),16663(a,1,2,2,1))]. 16665 K(x,(y * z) * ((z \ 1) * u)) != w | K(x,z * (((y \ z) \ 1) * u)) = w. [para(16664(a,1),10719(a,1))]. 16666 K(x,L(y,(z * (K(u,w) / v5)) \ K(u,w),v6)) = K(x,L(y,T(v5,K(u,w)) * (z \ K(u,w)),v6)). [para(5374(a,1),16373(a,1,2,2,1)),flip(a)]. 16667 K(x,L(y,(z * (K(u,w) / v5)) \ K(u,w),v6)) = K(x,L(y,v5 * (z \ K(u,w)),v6)). [hyper(280,a,16376,a(flip),b,16666,a),flip(a)]. 16668 K(x,L(y,z * (u \ K(w,v5)),v6)) = K(x,L(y,v6,u * (K(w,v5) / z))). [hyper(15427,a,16667,a),flip(a)]. 16671 K(x,L(y,z * (u \ K(w,v5)),v6)) = K(x,L(y,v6,u * (z \ K(w,v5)))). [hyper(280,a,15419,a(flip),b,16668,a),flip(a)]. 16672 K(x,L(y,z * (u \ K(w,v5)),v6)) = K(x,L(y,u \ z,v6)). [hyper(280,a,15429,a(flip),b,16671,a),flip(a)]. 16673 K(L(x,y,z),L(u,x \ w,v5)) = K(x,L(L(u,v5,w \ x),y,z)). [hyper(16489,a,16672,a),flip(a)]. 16676 K(x,L(L(y,x \ z,u),w,v5)) = K(x,L(L(y,u,z \ x),w,v5)). [hyper(9517,a,16673,a)]. 16677 K(x,L(L(y,z,u \ x),w,v5)) != v6 | K(x,L(L(y,w,v5),u,z)) = v6. [para(16676(a,1),9569(a,1))]. 16678 K(x,T(y,z) \ ((T(y,z) / u) * (z \ y))) = K(x,(T(T(y,z),w) * u) \ ((z \ y) * T(y,w))). [hyper(58,a,16647,a(flip),b,16644,a)]. 16680 K(x,T(y,z) \ (T(y,z) * ((z * u) \ y))) = K(x,(T(T(y,z),w) * u) \ ((z \ y) * T(y,w))). [para(15352(a,1),16678(a,1,2,2))]. 16681 K(x,(T(T(y,z),u) * w) \ ((z \ y) * T(y,u))) = K(x,(z * w) \ y). [para(4(a,1),16680(a,1,2)),flip(a)]. 16682 K(x,L(y \ (z \ u),y,u)) = K(x,(z * y) \ u). [hyper(14003,a,16681,a)]. 16684 K(x,L(y \ (z \ ((z / u) * w)),y,z)) = K(x,(((z / w) * u) * y) \ z). [para(693(a,1),16682(a,1,2,1,2))]. 16685 K(x,(((y / z) * u) * w) \ y) = K(x,(y * w) \ ((y / u) * z)). [para(269(a,1),16684(a,1,2)),flip(a)]. 16687 x * L(K(y,z) * K(z,L(L(y,u,w),u,w)),v5,K(v6,a(z,w,K(y,u)))) = y * (L(y,w,K(z,u) * K(z,u)) \ x). [para(15143(a,1),16405(a,1,2,1))]. 16688 L(a(x,y,a(z,u,K(w,v5))) * K(v6,v7),v5,v8) = K(v6,L(v7,v5,v8)) * a(x,y,a(z,u,K(w,v5))). [para(9730(a,1),16626(a,1,1,1,3))]. 16689 x * (K(y,z) * K(z,L(L(y,u,w),u,w))) = y * (L(y,w,K(z,u) * K(z,u)) \ x). [para(398(a,1),16687(a,1,2))]. 16690 K(x,y) * (K(z,u) * K(y,L(L(x,w,v5),w,v5))) = x * (L(x,v5,K(y,w) * K(y,w)) \ K(z,u)). [hyper(14045,a,16689,a)]. 16691 ((a(x,y,K(z,u)) \ 1) * w) \ a(x,y,K(z,u)) = x * (L(x,y,K(u,z) * K(u,z)) \ (w \ 1)). [hyper(58,a,16011,a,b,16689,a)]. 16693 K(x,y) * (K(z,u) * K(y,L(L(x,w,v5),w,v5))) = x * L(x \ K(z,u),v5,K(y,w) * K(y,w)). [hyper(280,a,16493,a,b,16690,a),flip(a)]. 16694 ((a(x,y,K(z,u)) * 1) * w) \ a(u,y,K(z,x)) = u * (L(u,y,K(x,z) * K(x,z)) \ (w \ 1)). [para(10537(a,1),16691(a,1,1,1))]. 16695 x * L(x \ K(y,z),y,K(u,z) * K(u,z)) = a(u,y,K(x,z)) * K(y,L(z,x,u)). [hyper(58,a,15164,a(flip),b,16693,a),flip(a)]. 16696 x * L(x \ K(y,z),y,K(u,z) * K(u,z)) = K(y,L(L(z,x,u),x,u)). [hyper(280,a,14592,a(flip),b,16695,a),flip(a)]. 16697 x * L(x \ K(y,z),y,K(u * u,z)) = K(y,L(L(z,x,u),x,u)). [para(11420(a,1),16696(a,1,2,3))]. 16698 K(x,L(L(y,z,u),z,u)) = a(y,x,K(u * u,z)) * K(x,y). [hyper(16412,a,16697,a),flip(a)]. 16699 K(x,L(L(y,z,u),z,u)) = K(x,L(y,z,u * u)). [hyper(280,a,14484,a(flip),b,16698,a),flip(a)]. 16700 K(x,L(L(y,z,u),z,u)) != w | K(x,L(y,z,u * u)) = w. [para(16698(a,2),14486(a,1))]. 16701 K(x,L(L(y,L(z,u,w),v5),z,L(v5,u,w))) = K(x,L(y,L(z,u,w),v5 * v5)). [hyper(58,a,14877,a(flip),b,16699,a)]. 16702 T(x,L(L(y,z,u),z,u)) = x * K(x,L(y,z,u * u)). [para(16699(a,1),2882(a,2,2))]. 16703 K(x,L(L(y,z,(u \ 1) * (u \ 1)),z,(u \ 1) * (u \ 1))) = K(x,L(y,z,(u \ 1) * ((u \ 1) * (u \ (u \ 1))))). [para(8766(a,1),16699(a,2,2,3))]. 16704 T(x,L(L(y,z,u),z,u)) = T(x,L(y,z,u * u)). [hyper(280,a,2882,a,b,16702,a),flip(a)]. 16705 T(x,L(y,z,u) * L(y,z,u)) = T(T(x,y),L(y,z,u * u)). [hyper(58,a,14964,a(flip),b,16704,a)]. 16706 K(x,L((y * (z * u)) / (y * z),z,y)) != w | K(x,L(T(u,z \ (y \ 1)),z,y * y)) = w. [para(10763(a,1),16700(a,1,2,1))]. 16707 T(x,L(y,z,u) * L(y,z,u)) = T(x,L(y * y,z,u)). [hyper(280,a,11839,a(flip),b,16705,a),flip(a)]. 16708 K(x,L(y,z,u) * L(y,z,u)) = x \ T(x,L(y * y,z,u)). [hyper(111,a,16707,a(flip),b,2882,a(flip)),flip(a)]. 16709 K(x,L(y,z,u) * L(y,z,u)) = K(x,L(y * y,z,u)). [hyper(280,a,2890,a,b,16708,a),flip(a)]. 16710 a(x,y,K(z * z,L(u,w,v5))) = a(y,z,K(x,L(u * u,w,v5))). [para(16709(a,1),14517(a,2,3))]. 16711 (x * ((x * K(y,L(z * z,u,w))) \ v5)) * K(y * y,L(z,u,w)) = L(v5,y * y,K(L(z,u,w),x)). [para(16709(a,1),15194(a,1,1,2,1,2))]. 16712 a(x * x,y,K(z * z,L(u,w,v5))) = a(x,z,K(L(u * u,w,v5),y * y)). [hyper(280,a,15161,a(flip),b,16710,a),flip(a)]. 16713 K(x,L(L(y,z,L(u,w,v5)),z,L(u,w,v5))) = K(x,L(y,L(z,w,v5),u * u)). [hyper(14960,a,16701,a)]. 16714 a(x * x,y,K(z * z,L(u,y * y,w))) = a(x,z,K(u * u,y * y)). [para(8339(a,1),16712(a,2,3))]. 16715 a(x * x,y * y,K(z,L(u,z,w))) = a(y,x,K(u * u,z * z)). [hyper(58,a,14511,a(flip),b,16714,a)]. 16716 a(x * x,y * y,K(z,u)) = a(y,x,K(u * u,z * z)). [hyper(10793,a,16715,a)]. 16717 K(x,L(y,z * z,u * u)) = K(x,y) * a(u,z,K(y * y,x * x)). [para(16716(a,1),14482(a,1,2)),flip(a)]. 16718 K(x,L(y,z,L(u,w,v5) * L(u,w,v5))) = K(x,L(y,L(z,w,v5),u * u)). [hyper(16700,a,16713,a)]. 16719 K(x,L(y,z,L(u,w,v5) * L(u,w,v5))) = K(x,L(y,z,L(u * u,w,v5))). [hyper(280,a,14877,a(flip),b,16718,a),flip(a)]. 16720 (a(x,y,K(z,u)) * w) \ a(u,y,K(z,x)) = u * (L(u,y,K(x,z) * K(x,z)) \ (w \ 1)). [para(3(a,1),16694(a,1,1,1))]. 16721 a(x,y,K(z,u)) * (w \ a(z,y,K(u,x))) = x * (L(x,y,K(u,z) * K(u,z)) \ (w \ 1)). [hyper(58,a,16303,a(flip),b,16720,a)]. 16722 a(x,y,K(z,u)) * (w \ a(z,y,K(u,x))) = x * (L(x,y,K(u * u,z)) \ (w \ 1)). [para(11420(a,1),16721(a,2,2,1,3))]. 16723 a(x,y,K(z,u)) * (w \ a(z,y,K(u,x))) = a(z,y,K(u * u,x)) * (w \ 1). [hyper(280,a,11825,a(flip),b,16722,a),flip(a)]. 16724 a(x,y,K(z,u)) * (w \ a(z,y,K(u,x))) = w \ a(x,y,K(z,u * u)). [hyper(280,a,13692,a(flip),b,16723,a),flip(a)]. 16725 (x * ((x * K(y,L((z * z) \ 1,u,w))) \ v5)) * K(y * y,L(z \ 1,u,w)) = L(v5,y * y,K(L(z \ 1,u,w),x)). [para(512(a,1),16711(a,1,1,2,1,2,2,1))]. 16726 K(x,L(L(y,z,(u * u) \ 1),z,(u \ 1) * (u \ 1))) = K(x,L(y,z,(u \ 1) * ((u \ 1) * (u \ (u \ 1))))). [para(512(a,1),16703(a,1,2,1,3))]. 16727 K(x,L(L(y,z,u \ (u \ 1)),z,(u \ 1) * (u \ 1))) = K(x,L(y,z,(u \ 1) * ((u \ 1) * (u \ (u \ 1))))). [para(1046(a,1),16726(a,1,2,1,3))]. 16728 K(x,L(L(y,z,u \ (u \ 1)),z,(u * u) \ 1)) = K(x,L(y,z,(u \ 1) * ((u \ 1) * (u \ (u \ 1))))). [para(512(a,1),16727(a,1,2,3))]. 16729 K(x,L(L(y,z,u \ (u \ 1)),u * u,z)) = K(x,L(y,z,(u \ 1) * ((u \ 1) * (u \ (u \ 1))))). [hyper(16366,a,16728,a)]. 16730 K(x,L(L(y,z,u \ (u \ 1)),u * u,z)) = K(x,L(y,z,(u \ 1) * (u \ ((u * u) \ 1)))). [para(7022(a,1),16729(a,2,2,3,2))]. 16731 K(x,L(L(y,z,u \ (u \ 1)),u * u,z)) = K(x,L(y,z,(u \ 1) * (u \ (u \ (u \ 1))))). [para(1046(a,1),16730(a,2,2,3,2,2))]. 16732 K(x,L(L(y,z,u \ (u \ 1)),u * u,z)) = K(x,L(y,z,u \ (u \ (u \ (u \ 1))))). [para(7107(a,1),16731(a,2,2,3))]. 16733 K(x,L(L(y,z * z,u),z * z,u)) = K(x,L(y,u,z \ (z \ (z \ (z \ 1))))). [hyper(58,a,14906,a(flip),b,16732,a)]. 16734 K(x,L(y,z * z,u * u)) = K(x,L(y,u,z \ (z \ (z \ (z \ 1))))). [hyper(16700,a,16733,a)]. 16735 (x * ((x * K(y * y,L(z,u,w))) \ v5)) * K(z * z,L(y \ 1,u,w)) = L(v5,z * z,K(L(y \ 1,u,w),x)). [para(9521(a,1),16725(a,1,1,2,1,2))]. 16736 (x * ((x * K(y * y,L(z,u,w))) \ v5)) * K(y,L(z * z,u,w)) = L(v5,z * z,K(L(y \ 1,u,w),x)). [para(9521(a,1),16735(a,1,2))]. 16737 (x * ((x * K(y * y,L(z,u,w))) \ v5)) * K(y,L(z * z,u,w)) = L(v5,z * z,K(y \ 1,L(x,u,w))). [para(9511(a,1),16736(a,2,3))]. 16738 (x * ((x * K(y * y,L(z,u,w))) \ v5)) * K(y,L(z * z,u,w)) = L(v5,z * z,K(x,L(y,u,w))). [para(9520(a,1),16737(a,2,3))]. 16739 T((L(x,y,a(z,u,K(w,v5))) \ x) * K(y,w),a(w,z,K(y,x))) = K(y,L(w,z,x)) * L(K(y,w) \ (a(w,z,K(y,x)) \ K(y,w)),v5,u). [para(14434(a,1),16467(a,1,1,1,1,3))]. 16740 K(x,L(y,z,u)) * L(K(x,y) \ (a(y,z,K(x,u)) \ K(x,y)),w,v5) = T(a(z,x,a(u,w,K(v5,y))) * K(x,y),a(y,z,K(x,u))). [para(15178(a,1),16739(a,1,1,1)),flip(a)]. 16741 K(x,L(y,z,u)) * L(K(x,y) \ (a(y,z,K(x,u)) \ K(x,y)),w,v5) = T(K(x,L(y,u,a(z,w,v5))),a(y,z,K(x,u))). [para(14631(a,1),16740(a,2,1))]. 16742 K(x,L(y,z,u)) * L(K(x,y) \ (a(y,z,K(x,u)) \ K(x,y)),w,v5) = K(x,L(y,u,a(z,w,v5))). [hyper(280,a,13170,a(flip),b,16741,a),flip(a)]. 16744 K(x,L(y,z,u)) * L(K(x,y) \ (a(u,z,K(x,y)) * K(x,y)),w,v5) = K(x,L(y,u,a(z,w,v5))). [para(10537(a,1),16742(a,1,2,1,2))]. 16745 K(x,L(y,z,u)) * L(K(x,y) \ K(x,L(y,u,z)),w,v5) = K(x,L(y,u,a(z,w,v5))). [para(14483(a,1),16744(a,1,2,1,2))]. 16746 K(x,L(y,z,u)) * L(K(y,x) * K(x,L(y,u,z)),w,v5) = K(x,L(y,u,a(z,w,v5))). [para(4271(a,1),16745(a,1,2,1))]. 16747 K(x,L(y,z,u)) * L(a(x,z,K(y,u)),w,v5) = K(x,L(y,u,a(z,w,v5))). [para(14433(a,1),16746(a,1,2,1))]. 16748 K(x,L(y,z,u)) * a(x,z,K(y,L(u,w,v5))) = K(x,L(y,u,a(z,w,v5))). [para(9411(a,2),16747(a,1,2))]. 16749 a(x,y,K(z,u)) * K(x,L(u,L(z,w,v5),y)) = K(x,L(u,z,a(y,w,v5))). [hyper(58,a,15502,a,b,16748,a)]. 16750 a(x,y,K(z,u)) * K(x,L(u,z,L(y,w,v5))) = K(x,L(u,z,a(y,w,v5))). [para(14877(a,1),16749(a,1,2))]. 16751 K(x,L(L(y,z,L(u,w,v5)),u,z)) = K(x,L(y,z,a(u,w,v5))). [hyper(10961,a,16750,a)]. 16752 K(x,L(L(y,z,(u * w) \ v5),w \ (u \ v5),z)) = K(x,L(y,z,a(w \ (u \ v5),w,u))). [para(269(a,1),16751(a,1,2,1,3))]. 16753 L(T(a(x,K(y,z),u),w),(x * (K(y,z) * T(u,w))) / T(u,w),K(z,y)) = (K(z,y) * ((x * (K(y,z) * T(u,w))) / T(u,w))) \ T(x,K(y,z)). [para(15810(a,2),16605(a,1,1,1))]. 16754 L(a(x,K(y,z),u),(u * (K(z,y) * T(x,w))) / T(x,w),K(y,z)) = (K(y,z) * ((u * (K(z,y) * T(x,w))) / T(x,w))) \ T(u,K(z,y)). [para(16147(a,1),16753(a,1,1))]. 16755 (K(x,y) * ((z * (K(y,x) * T(u,w))) / T(u,w))) \ T(z,K(y,x)) = a(u,K(x,y),z). [hyper(58,a,14588,a(flip),b,16754,a),flip(a)]. 16758 (K(x,y) * (T(z,u) / (K(x,y) * (w \ T(z,u))))) \ T(w,K(y,x)) = a(z,K(x,y),w). [para(4307(a,1),16755(a,1,1,2))]. 16759 L(T(x,K(y,z)),K(y,z),T(u,w)) \ T(x,K(z,y)) = a(u,K(y,z),x). [para(16194(a,1),16758(a,1,1))]. 16760 L(T(x,K(y,z)),K(z,y),T(u,w)) \ T(x,K(y,z)) = a(u,K(z,y),x). [para(5355(a,1),16759(a,1,1,1))]. 16761 L(T(x,K(y,z)),K(z,y),u) \ T(x,K(y,z)) = a(u,K(z,y),x). [para(100(a,1),16760(a,1,1,3))]. 16762 T(L(x,K(y,z),u) \ x,K(z,y)) = a(u,K(y,z),x). [hyper(58,a,15977,a(flip),b,16761,a)]. 16763 L(x,K(y,z),u) \ x = a(u,K(y,z),x). [hyper(13353,a,16762,a)]. 16766 a(x,K(y,z),u) \ 1 = a(u,K(y,z),x). [hyper(58,a,14253,a(flip),b,16763,a)]. 16767 a(x,K(y,z),u) \ u = L(u,K(y,z),x). [para(16763(a,1),425(a,1,1))]. 16769 a(x,K(y,z),u) \ 1 != w | a(u,K(y,z),x) = w. [para(16766(a,1),384(a,1,1))]. 16770 a(x,K(y,z),u) \ x = L(x,K(z,y),u). [para(16146(a,1),16767(a,1,1))]. 16771 L(x * y,K(z,u),K(z,u) * x) = x * L(y,K(z,u),x * K(z,u)). [hyper(58,a,16221,a(flip),b,16770,a),flip(a)]. 16772 x * (K(y,z) * ((x * K(y,z)) \ u)) = L(u,K(y,z),K(y,z) * x). [hyper(58,a,15749,a(flip),b,16770,a)]. 16774 (K(x,y) * z) * (K(y,x) * (((K(x,y) * z) * K(y,x)) \ u)) = L(u,K(y,x),z). [para(4268(a,1),16772(a,2,3))]. 16775 ((x / (K(y,z) * (K(z,y) * u))) * K(y,z)) * (K(z,y) * u) = L(x,K(y,z),u). [hyper(11279,a,16774,a)]. 16776 ((x / y) * K(z,u)) * (K(u,z) * y) = L(x,K(z,u),y). [para(4268(a,1),16775(a,1,1,1,2))]. 16778 L(a(x / y,K(z,u),K(u,z) * y) \ 1,a(x / y,K(z,u),K(u,z) * y),L(x,K(z,u),y)) = ((x / y) * K(z,u)) \ (((x / y) * (K(z,u) * (K(u,z) * y))) / (K(u,z) * y)). [para(16776(a,1),2614(a,1,3))]. 16779 L(a(x,y,K(z,u)),K(x,u),K(u,x)) * L(K(x,u) * (K(x,L(u,y,z)) \ 1),w,v5) = L(a(x,y,K(z,u)) * L(a(x,y,K(z,u)) \ 1,w,v5),K(x,u),K(x,u) \ 1). [para(3418(a,1),10897(a,1,1,3))]. 16780 L(a(x,y,K(z,u)) * L(a(x,y,K(z,u)) \ 1,w,v5),K(x,u),K(x,u) \ 1) = a(x,y,K(z,u)) * L(K(x,u) * (K(x,L(u,y,z)) \ 1),w,v5). [para(8985(a,1),16779(a,1,1)),flip(a)]. 16781 L(a(x,y,K(z,u)) * L(a(x,y,K(z,u)) \ 1,w,v5),K(x,u),K(x,u) \ 1) = a(x,y,K(z,u)) * L(K(x,u) * (K(L(u,y,z),x) * 1),w,v5). [para(4271(a,1),16780(a,2,2,1,2))]. 16785 L(a(x,y,K(z,u)) * L(a(x,y,K(z,u)) \ 1,w,v5),K(x,u),K(x,u) \ 1) = a(x,y,K(z,u)) * L(K(x,u) * (K(u,L(x,y,z)) * 1),w,v5). [para(9511(a,1),16781(a,2,2,1,2,1))]. 16786 L(a(x,y,K(z,u)) * L(a(x,y,K(z,u)) \ 1,w,v5),K(x,u),K(x,u) \ 1) = a(x,y,K(z,u)) * L(K(x,u) * K(u,L(x,y,z)),w,v5). [para(3(a,1),16785(a,2,2,1,2))]. 16787 L(a(x,y,K(z,u)) * L(a(x,y,K(z,u)) \ 1,w,v5),K(x,u),K(x,u) \ 1) = a(x,y,K(z,u)) * L(a(u,z,K(x,y)),w,v5). [para(14433(a,1),16786(a,2,2,1))]. 16788 L(a(x,y,K(z,u)) * L(a(x,y,K(z,u)) \ 1,w,v5),K(x,u),K(x,u) \ 1) = a(x,y,K(z,u)) * a(u,z,K(x,L(y,w,v5))). [para(9411(a,2),16787(a,2,2))]. 16789 L(a(x,y,K(z,u)) * L(a(u,y,K(z,x)) * 1,w,v5),K(x,u),K(x,u) \ 1) = a(x,y,K(z,u)) * a(u,z,K(x,L(y,w,v5))). [para(10537(a,1),16788(a,1,1,2,1))]. 16790 L(a(x,y,K(z,u)) * L(a(u,y,K(z,x)),w,v5),K(x,u),K(x,u) \ 1) = a(x,y,K(z,u)) * a(u,z,K(x,L(y,w,v5))). [para(3(a,1),16789(a,1,1,2,1))]. 16791 L(a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))),K(x,u),K(x,u) \ 1) = a(x,y,K(z,u)) * a(u,z,K(x,L(y,w,v5))). [para(9411(a,2),16790(a,1,1,2))]. 16792 L(a(x,y,a(z,u,K(w,v5))),K(v5,w),K(v5,w) \ 1) = a(v5,y,K(z,w)) * a(w,z,K(v5,L(y,x,u))). [para(15140(a,1),16791(a,1,1))]. 16793 L(a(x,y,a(z,u,K(w,v5))),K(v5,w),K(w,v5)) = a(v5,y,K(z,w)) * a(w,z,K(v5,L(y,x,u))). [para(3418(a,1),16792(a,1,3))]. 16794 a(x,y,K(z,u)) * a(u,z,K(x,L(y,w,v5))) = a(w,y,a(z,v5,K(u,x))). [hyper(14540,a,16793,a)]. 16796 L(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = x * a(w,z,a(x,v5,K(u,y))). [para(16794(a,1),15606(a,1,2)),flip(a)]. 16797 L(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = L(x,z,a(y,v5,K(u,w))). [hyper(280,a,13664,a(flip),b,16796,a),flip(a)]. 16798 x * (a(y,x,K(z,u)) * L(a(y,x,K(z,u)) \ 1,w,v5)) = L(x,y,a(z,v5,K(u,w))). [hyper(58,a,15602,a,b,16797,a)]. 16799 L(x,y,K(z,u)) * a(z,u,K(y,L(x,w,v5))) = L(x,y,a(u,v5,K(z,w))). [para(14527(a,2),16797(a,1,1))]. 16800 L(x * a(y,z,K(u,L(x,w,v5))),u,K(y,z)) = L(x,u,a(z,v5,K(y,w))). [hyper(58,a,13843,a,b,16799,a)]. 16801 L(L(x,y,K(z,L(u,w,v5))),u,K(z,y)) = L(x,u,a(y,v5,K(z,w))). [para(11776(a,1),16800(a,1,1))]. 16802 x \ L(x,y,a(z,u,K(w,v5))) = a(v5,z,a(w,u,K(x,y))). [para(16801(a,1),15519(a,1,2))]. 16803 a(x,y,a(z,u,K(w,v5))) * w = L(w,v5,a(y,u,K(z,x))). [para(16802(a,1),451(a,1,1))]. 16804 a(x,y,a(z,u,K(w,v5))) * w = L(w,z,a(y,u,K(x,v5))). [para(13724(a,2),16803(a,1,1))]. 16805 L(x,y,a(z,u,K(w,v5))) = L(x,v5,a(z,u,K(y,w))). [hyper(58,a,16803,a(flip),b,16804,a),flip(a)]. 16806 L(x,y,a(z,u,K(w,v5))) = L(x,v5,a(u,y,K(z,w))). [para(14477(a,2),16805(a,2,3))]. 16807 L(x,y,a(z,u,K(w,v5))) = L(x,u,a(z,y,K(v5,w))). [para(14436(a,2),16806(a,1,3))]. 16808 (x \ (a(y,z,K(u,w)) * v5)) \ (a(y,z,K(u,w)) * (v5 * ((a(y,z,K(u,w)) * v5) \ (x \ (a(y,z,K(u,w)) * v5))))) = x * L(x \ 1,z,a(y,v5,K(w,u))). [para(16807(a,1),16240(a,2,2))]. 16809 x * (a(y,x,K(z,u)) * L(a(u,x,K(z,y)) * 1,w,v5)) = L(x,y,a(z,v5,K(u,w))). [para(10537(a,1),16798(a,1,2,2,1))]. 16810 x * (a(y,x,K(z,u)) * L(a(u,x,K(z,y)),w,v5)) = L(x,y,a(z,v5,K(u,w))). [para(3(a,1),16809(a,1,2,2,1))]. 16811 x * (a(y,x,K(z,u)) * a(u,x,K(z,L(y,w,v5)))) = L(x,y,a(z,v5,K(u,w))). [para(9411(a,2),16810(a,1,2,2))]. 16812 x * a(y,x,a(z,u,K(w,v5))) = L(x,v5,a(z,u,K(w,y))). [para(15140(a,1),16811(a,1,2))]. 16813 L(x,a(y,z,K(u,w)) * v5,a(v6,v7,K(v8,v9))) = x * a(v9,x,a(v6,v7,K(v8,v5))). [para(13626(a,1),16812(a,1,2,3,3)),flip(a)]. 16814 L(x,a(y,z,K(u,w)) * v5,a(v6,v7,K(v8,v9))) = L(x,v5,a(v6,v7,K(v8,v9))). [hyper(280,a,16812,a(flip),b,16813,a),flip(a)]. 16815 L(x \ a(y,z,K(u,w)),x,a(v5,v6,K(v7,v8))) = (x * a(u,z,K(y,w))) \ 1. [hyper(58,a,14200,a(flip),b,16814,a),flip(a)]. 16816 L(x \ a(y,z,K(u,w)),x,a(v5,v6,K(v7,v8))) = x \ a(u,z,K(w,y)). [hyper(280,a,13703,a(flip),b,16815,a),flip(a)]. 16818 T(a(x,y,K(z,u)) * a(w,v5,K(v6,v7)),a(w,v5,K(v6,v7)) * v8) = (v8 \ a(u,y,K(x,z))) * (a(w,v5,K(v6,v7)) * v8). [para(16816(a,1),13315(a,1,1)),flip(a)]. 16819 (x \ a(y,z,K(u,w))) * (a(v5,v6,K(v7,v8)) * x) = a(u,z,K(w,y)) * a(v5,v6,K(v7,v8)). [hyper(58,a,13583,a(flip),b,16818,a),flip(a)]. 16821 a(x * x,y,K(z,u)) * a(z * z,y,K(u,x)) = (a(u,y,K(x * x,z)) * w) * (w \ a(u,y,K(x * x,z))). [hyper(58,a,14411,a(flip),b,16819,a),flip(a)]. 16823 a(x * x,y,K(z,u)) * a(z * z,y,K(u,x)) = w * ((a(z,y,K(x * x,u)) * w) \ a(u,y,K(x * x,z))). [para(10538(a,1),16821(a,2,1))]. 16824 a(x * x,y,K(z,u)) * a(z * z,y,K(u,x)) = w * (a(u,y,K(x * x,z)) * (w \ a(x * x,y,K(z,u)))). [para(16303(a,1),16823(a,2,2))]. 16825 a(x * x,y,K(z,u)) * a(z * z,y,K(u,x)) = w * (w \ a(u,y,K(x * x,z * z))). [para(16724(a,1),16824(a,2,2))]. 16826 a(x * x,y,K(z,u)) * a(z * z,y,K(u,x)) = a(u,y,K(x * x,z * z)). [hyper(280,a,300,a(flip),b,16825,a),flip(a)]. 16827 (x * a(y * y,z,K(u,w))) \ (x / a(y * y,z,K(u,w))) = x \ (x * a(u,z,K(y * y,w * w))). [para(16826(a,1),15162(a,2,2,2))]. 16828 (x * a(y * y,z,K(u,w))) \ (x / a(y * y,z,K(u,w))) = a(u,z,K(y * y,w * w)). [hyper(280,a,4,a(flip),b,16827,a),flip(a)]. 16830 (x * a(y * y,z,K(u,w))) \ (a(w,z,K(u,y * y)) * x) = a(u,z,K(y * y,w * w)). [para(13274(a,1),16828(a,1,2))]. 16831 x \ (a(y,z,K(u,w * w)) * (x * a(y,z,K(u,w * w)))) = a(u,z,K(w * w,y * y)). [hyper(58,a,14348,a(flip),b,16830,a)]. 16832 x \ (y * (L(L(y,z,K(u * u,w)),z,K(u * u,w)) \ x)) = a(w,z,K(u * u,y * y)). [para(15569(a,1),16831(a,1,2))]. 16833 x \ (y * (L(y,z,K(u * u,w) * K(u * u,w)) \ x)) = a(w,z,K(u * u,y * y)). [para(16397(a,1),16832(a,1,2,2,1))]. 16834 x \ (y * (L(y,z,K((u * u) * (u * u),w)) \ x)) = a(w,z,K(u * u,y * y)). [para(11420(a,1),16833(a,1,2,2,1,3))]. 16835 x \ (y * (L(y,z,K(u * (u * (u * u)),w)) \ x)) = a(w,z,K(u * u,y * y)). [para(7123(a,1),16834(a,1,2,2,1,3,1))]. 16836 (x \ (a(y,z,K(u,w)) * v5)) \ L(x \ (a(y,z,K(u,w)) * v5),y,a(w,z,K(u,v5))) = x * L(x \ 1,z,a(y,v5,K(w,u))). [para(15110(a,1),16808(a,1,2))]. 16837 a(x,y,a(z,u,K(w \ (a(v5,u,K(z,y)) * x),v5))) = w * L(w \ 1,u,a(v5,x,K(y,z))). [hyper(58,a,16802,a(flip),b,16836,a)]. 16838 a(x,y,a(z,u,K(w,(a(w,u,K(z,y)) * x) \ v5))) = v5 * L(v5 \ 1,u,a(w,x,K(y,z))). [para(3570(a,1),16837(a,1,3,3))]. 16839 a(x,y,a(z,u,K(w,x \ v5))) = v5 * L(v5 \ 1,u,a(w,x,K(y,z))). [para(14205(a,1),16838(a,1,3,3))]. 16840 x * L(x \ 1,y,a(z,u,K(w,v5))) = a(u,w,a(v5,y,K(z,x))). [hyper(58,a,10974,a(flip),b,16839,a),flip(a)]. 16842 a(x,y,a(z,u,K(w,v5))) = a(w,u,a(v5,x,K(y,z))). [hyper(58,a,11852,a(flip),b,16840,a),flip(a)]. 16843 a(x,y,a(z \ 1,u,K(w,v5))) = a(w,u,a(v5,x,K(z,y))). [para(3566(a,1),16842(a,2,3,3))]. 16844 a(x,y,a(z,u,K(w,v5))) = a(u,v5,a(x,y,K(w,z))). [para(10534(a,1),16843(a,1,3)),flip(a)]. 16845 a(x,y \ z,a(u,w,K(y,v5))) = a(u,w,a(v5,x,K(y,z))). [para(2975(a,1),16844(a,1,3,3)),flip(a)]. 16846 K(x,L(y,z,a(u / w,v5,v5 \ w))) = K(x,y) * a(x,z,a(v5,y,K(w,u))). [para(16845(a,1),15165(a,2,2))]. 16847 K(x,L(y,z,a(u \ w,v5,v5 \ u))) = K(x,y) * a(x,z,a(v5,y,K(u,w))). [para(11730(a,1),16846(a,1,2,3))]. 16848 a(x,y,K(z,u)) * (T(L(w \ 1,w,a(z,y,K(u,x))),a(x,y,K(z,u))) * K(v5,v6)) = (w \ a(z,y,K(u,x))) * K(v5,v6). [para(13199(a,1),11403(a,1,2)),flip(a)]. 16849 a(x,y,K(z,u)) * (L(w \ 1,w,a(z,y,K(u,x))) * K(v5,v6)) = (w \ a(z,y,K(u,x))) * K(v5,v6). [para(13142(a,1),16848(a,1,2,1))]. 16851 a(x,y,K(z,u)) * ((w \ 1) * K(v5,v6)) = (w \ a(z,y,K(u,x))) * K(v5,v6). [para(10505(a,1),16849(a,1,2,1))]. 16853 (x \ a(y,z,K(u,w))) * K(v5,v6) = a(w,z,K(y,u)) * (x \ K(v5,v6)). [para(10497(a,1),16851(a,1,2)),flip(a)]. 16855 (K(x,y) * z) \ a(u,w,K(v5,v6)) = a(v6,w,K(u,v5)) * (z \ K(y,x)). [hyper(58,a,15566,a,b,16853,a)]. 16856 x * (a(y,z,K(u,w)) * (x \ K(v5,v6))) = K(v5,v6) * a(u,z,K(w,y)). [para(16855(a,1),14858(a,1,2))]. 16857 x \ (a(y,z,K(u,w)) * K(v5,v6)) = a(w,z,K(y,u)) * (x \ K(v5,v6)). [hyper(111,a,13146,a,b,16856,a)]. 16858 K(x,L(y,z,u)) * (a(L(u,w,v5),y,K(x,z)) * (K(x,y) \ K(x,L(y,u,z)))) = L(a(x,y,K(z,u)),w,v5) * K(x,y). [para(16857(a,1),15615(a,1,2))]. 16859 K(x,L(y,z,u)) * (a(u,y,K(x,L(z,w,v5))) * (K(x,y) \ K(x,L(y,u,z)))) = L(a(x,y,K(z,u)),w,v5) * K(x,y). [para(10923(a,1),16858(a,1,2,1))]. 16860 K(x,L(y,z,u)) * (a(u,y,K(x,L(z,w,v5))) * (K(y,x) * K(x,L(y,u,z)))) = L(a(x,y,K(z,u)),w,v5) * K(x,y). [para(4271(a,1),16859(a,1,2,2))]. 16861 K(x,L(y,z,u)) * (a(u,y,K(x,L(z,w,v5))) * a(x,z,K(y,u))) = L(a(x,y,K(z,u)),w,v5) * K(x,y). [para(14433(a,1),16860(a,1,2,2))]. 16862 K(x,L(y,z,u)) * a(w,y,a(x,v5,K(u,z))) = L(a(x,y,K(z,u)),w,v5) * K(x,y). [para(15141(a,1),16861(a,1,2))]. 16863 K(x,L(y,z,u)) * a(w,y,a(x,v5,K(u,z))) = a(x,y,K(z,L(u,w,v5))) * K(x,y). [para(9411(a,2),16862(a,2,1))]. 16864 K(x,L(y,z,u)) * a(w,y,a(x,v5,K(u,z))) = K(x,L(y,z,L(u,w,v5))). [hyper(280,a,14498,a(flip),b,16863,a),flip(a)]. 16866 L(a(x,y,a(z,u,K(w,v5))) * K(z,y),v5,w) = K(z,L(y,v5,L(w,x,u))). [hyper(58,a,16688,a,b,16864,a)]. 16867 L(K(x,L(y,z,a(u,w,v5))),v5,u) = K(x,L(y,v5,L(u,z,w))). [para(15700(a,1),16866(a,1,1))]. 16868 K(x,L(y \ K(z,y \ L(y,u,w)),L(y,u,w),L(y,u,w) \ 1) * (L(y,u,w) * v5)) = K(x,L(T(y \ L(y,u,w),z \ 1) * v5,y,L(y,u,w))). [hyper(16362,a,15028,a),flip(a)]. 16870 K(x,L(y \ K(z,y \ L(y,u,w)),L(y,u,w),L(y,u,w) \ 1) * (L(y,u,w) * v5)) = K(x,T(y \ L(y,u,w),z \ 1) * v5). [hyper(280,a,10857,a(flip),b,16868,a),flip(a)]. 16872 K(x,L(y \ K(z,y \ L(y,u,w)),L(y,u,w),L(y,u,w) \ 1) * (L(y,u,w) * v5)) = K(x,T(y \ L(y,u,w),z) * v5). [hyper(280,a,11964,a(flip),b,16870,a),flip(a)]. 16873 (x \ y) \ ((y * K(z,u)) * (K(u,z) * (((y * K(z,u)) * K(u,z)) \ (x \ ((y * K(z,u)) * K(u,z)))))) = x * (y \ ((y * K(z,u)) * (K(u,z) * (x \ 1)))). [para(4324(a,1),16242(a,1,1,2))]. 16874 (x \ y) \ ((y * K(z,u)) * (K(u,z) * (y \ (x \ ((y * K(z,u)) * K(u,z)))))) = x * (y \ ((y * K(z,u)) * (K(u,z) * (x \ 1)))). [para(4324(a,1),16873(a,1,2,2,2,1))]. 16875 (x \ y) \ ((y * K(z,u)) * (K(u,z) * (y \ (x \ y)))) = x * (y \ ((y * K(z,u)) * (K(u,z) * (x \ 1)))). [para(4324(a,1),16874(a,1,2,2,2,2,2))]. 16876 (x \ y) \ ((y * K(z,u)) * (K(u,z) * (y \ (x \ y)))) = x * L(x \ 1,K(u,z),y * K(z,u)). [para(4360(a,1),16875(a,2,2))]. 16877 T(((x * (T(K(y,z) * u,w) * K(z,y))) / T(u * K(y,z),w)) \ (x * K(z,y)),v5) = a(x,K(z,y),T(T(u * K(y,z),w),v5)). [hyper(58,a,15810,a,b,16604,a),flip(a)]. 16878 T(((x * (T(K(y,z) * u,w) * K(z,y))) / T(u * K(y,z),w)) \ (x * K(z,y)),v5) = a(T(u * K(y,z),w),K(y,z),x). [hyper(280,a,16149,a(flip),b,16877,a),flip(a)]. 16880 T(((x * (T(K(y,z) * u,w) * K(z,y))) / T(u * K(y,z),w)) \ (x * K(z,y)),v5) = a(u * K(y,z),K(y,z),x). [hyper(280,a,14787,a(flip),b,16878,a),flip(a)]. 16882 T(((x * (K(y,z) * T(u * K(z,y),w))) / T(u * K(z,y),w)) \ (x * K(y,z)),v5) = a(u * K(z,y),K(z,y),x). [para(5586(a,1),16880(a,1,1,1,1,2))]. 16883 T((T(x * K(y,z),u) / (K(y,z) * (w \ T(x * K(y,z),u)))) \ (w * K(z,y)),v5) = a(x * K(y,z),K(y,z),w). [para(4307(a,1),16882(a,1,1,1))]. 16884 T(((x * y) / (K(z,u) * y)) \ (x * K(u,z)),w) = a(y * K(z,u),K(z,u),x). [para(16263(a,1),16883(a,1,1,1))]. 16885 ((x * y) / (K(z,u) * y)) \ (x * K(u,z)) = a(y * K(z,u),K(z,u),x). [hyper(14560,a,16884,a)]. 16886 L(a(x / y,K(z,u),y) \ 1,a(x / y,K(z,u),K(u,z) * y),L(x,K(z,u),y)) = ((x / y) * K(z,u)) \ (((x / y) * (K(z,u) * (K(u,z) * y))) / (K(u,z) * y)). [para(16139(a,1),16778(a,1,1,1))]. 16887 a(x \ (y * (L(y,z,T(u,w \ y)) \ x)),x,K(w,y)) * L(x \ (T(y,w \ y) * (L(T(y,w \ y),z,u) \ x)),x,y) = (L(T(y,w \ y),z,u) * x) \ (T(y,w \ y) * x). [para(16599(a,1),15327(a,1,1,1,2))]. 16888 a(T(x \ (y * (L(y,z,u) \ x)),w \ y),x,K(w,y)) * L(x \ (T(y,w \ y) * (L(T(y,w \ y),z,u) \ x)),x,y) = (L(T(y,w \ y),z,u) * x) \ (T(y,w \ y) * x). [para(15755(a,2),16887(a,1,1,1))]. 16889 a(x \ (y * (L(y,z,u) \ x)),x,K(w,y)) * L(x \ (T(y,w \ y) * (L(T(y,w \ y),z,u) \ x)),x,y) = (L(T(y,w \ y),z,u) * x) \ (T(y,w \ y) * x). [para(13419(a,1),16888(a,1,1))]. 16891 a(x,y,K(z * (L(z,u,w) \ x),z)) * L(x \ (T(z,y \ z) * (L(T(z,y \ z),u,w) \ x)),x,z) = (L(T(z,y \ z),u,w) * x) \ (T(z,y \ z) * x). [para(14504(a,1),16889(a,1,1))]. 16892 a(x,y,K(x,z)) * L(x \ (T(z,y \ z) * (L(T(z,y \ z),u,w) \ x)),x,z) = (L(T(z,y \ z),u,w) * x) \ (T(z,y \ z) * x). [para(4596(a,1),16891(a,1,1,3))]. 16894 1 * L(x \ (T(y,z \ y) * (L(T(y,z \ y),u,w) \ x)),x,y) = (L(T(y,z \ y),u,w) * x) \ (T(y,z \ y) * x). [para(5013(a,1),16892(a,1,1))]. 16896 (L(T(x,y \ x),z,u) * w) \ (T(x,y \ x) * w) = 1 * L(w \ (x * (L(x,z,T(u,y \ x)) \ w)),w,x). [para(16599(a,1),16894(a,1,2,1,2)),flip(a)]. 16897 (L(T(x,y \ x),z,u) * w) \ (T(x,y \ x) * w) = 1 * L(T(w \ (x * (L(x,z,u) \ w)),y \ x),w,x). [para(15755(a,2),16896(a,2,2,1))]. 16898 (L(T(x,y \ x),z,u) * w) \ (T(x,y \ x) * w) = 1 * T((L(x,z,u) * w) \ (x * w),y \ x). [para(2079(a,1),16897(a,2,2))]. 16899 T((L(x,y,z) * (z * y)) \ (x * (z * y)),u \ x) = a(z,y,T(x,u \ x)). [hyper(110,a,16898,a(flip),b,15788,a)]. 16901 a(x,y,T(z,u \ z)) = T(a(x,y,z),u \ z). [para(15788(a,2),16899(a,1,1)),flip(a)]. 16902 a(x,y,T(z,(u / w) \ z)) = T(a(x,y,z),u \ w). [hyper(13451,a,16901,a(flip)),flip(a)]. 16903 a(x,y,T(z,u / w)) = T(a(x,y,z),w \ u). [para(3754(a,1),16902(a,1,3))]. 16904 a(x,y,T(z,u \ w)) = T(a(x,y,z),u \ w). [hyper(58,a,14239,a(flip),b,16903,a)]. 16905 a(x,y,T(z,z \ u)) = T(a(x,y,z),u). [hyper(280,a,9738,a(flip),b,16904,a),flip(a)]. 16907 a(x,y,T(z,u)) = T(a(x,y,z),u). [para(423(a,1),16905(a,1,3))]. 16908 a(x \ y,x,T(z,y)) = a(x \ y,x,z). [hyper(280,a,13591,a(flip),b,16907,a),flip(a)]. 16909 a(x,y,T(z,y)) = a(x,y,z). [hyper(280,a,9716,a(flip),b,16907,a),flip(a)]. 16912 a(x,K(y,z),T(u,w)) != v5 | a(u,K(z,y),x) = v5. [para(16907(a,2),16160(a,1))]. 16914 a((x * y) \ z,y,x) = a((y * x) \ z,y,x). [hyper(58,a,11868,a(flip),b,16909,a),flip(a)]. 16915 a(x,y,z / y) = a(x,y,y \ z). [para(103(a,1),16909(a,1,3)),flip(a)]. 16916 (L(x,y,y \ z) * T(z,y)) \ (x * T(z,y)) = a(y \ z,y,x). [hyper(58,a,14241,a,b,16908,a)]. 16917 a(x \ (x * y),x,z) = a(y,x,T(z,x * y)). [para(4(a,1),16908(a,1,1)),flip(a)]. 16918 a(x,y,T(z,y * x)) = a(x,y,z). [para(4(a,1),16917(a,1,1)),flip(a)]. 16919 a(x,T(y,x),z) = a(x,y,z). [hyper(58,a,16076,a(flip),b,16918,a)]. 16920 a(x,y,z) = (L(z,y,x) * (y * x)) \ (z * (y * x)). [hyper(58,a,15794,a,b,16919,a),flip(a)]. 16921 a(x,y,z) = ((y * (x / y)) * (y * z)) \ ((y * x) * z). [hyper(58,a,4688,a,b,16919,a),flip(a)]. 16922 a(x,K(y,z),L(u,w,K(v5,v6))) != v7 | a(u,K(z,y),x) = v7. [para(11747(a,2),16912(a,1,3))]. 16923 a(T(x,y),K(z,u),w) != v5 | a(x,K(z,u),w) = v5. [para(16146(a,1),16912(a,1))]. 16924 a(x / y,K(z,u),w) != v5 | a(y \ x,K(z,u),w) = v5. [para(3508(a,1),16923(a,1,1))]. 16925 a(x,y,z) = ((z * y) * x) \ (z * (y * x)). [para(11074(a,1),16920(a,2,1))]. 16926 a(x,y,z) = (z * y) \ ((z * (y * x)) / x). [hyper(280,a,2420,a(flip),b,16925,a),flip(a)]. 16928 a(x \ 1,y \ 1,z \ 1) = a(x,y,z) \ 1. [para(16925(a,2),11464(a,1,1)),flip(a)]. 16929 (x * y) \ (a(x,y,z) \ (x * y)) = a(z,y,x). [hyper(280,a,15896,a,b,16926,a)]. 16930 a(x,y,z) = ((z * (y * x)) / x) / (z * y). [hyper(280,a,11530,a,b,16926,a),flip(a)]. 16931 ((x * (T(y,z) * u)) / (K(y,z) * u)) / (x * y) = a(K(y,z) * u,y,x). [hyper(280,a,11532,a(flip),b,16926,a)]. 16933 (L(x,y,z) * y) \ ((L(x,y,z) * (y * z)) / z) = (z * (y * L(x,y,z))) \ (z * (y * x)). [hyper(58,a,553,a,b,16926,a),flip(a)]. 16935 (x * y) \ ((x * z) / (y \ z)) = a(y \ z,y,x). [para(5(a,1),16926(a,2,2,1,2)),flip(a)]. 16936 a(x \ 1,y,z \ 1) = a(x,y \ 1,z) \ 1. [hyper(14168,a,16928,a)]. 16937 a(x \ 1,y \ 1,z) = a(x,y,z \ 1) \ 1. [hyper(58,a,7680,a(flip),b,16928,a)]. 16938 a(x \ 1,y \ 1,z \ 1) != u \ 1 | a(x,y,z) = u. [para(16928(a,2),43(a,1))]. 16939 a(x,y \ 1,z \ 1) = a(x \ 1,y,z) \ 1. [para(378(a,1),16928(a,1,1))]. 16940 ((x / y) * y) \ (a(x / y,y,z) \ ((x / y) * y)) = a(z,y,y \ x). [hyper(280,a,16915,a(flip),b,16929,a),flip(a)]. 16941 a(x \ 1,y \ 1,L(z,z,u)) = a(x,y,L(z \ 1,z,u)) \ 1. [para(15911(a,2),16937(a,2,1,3))]. 16942 a(x,y \ 1,z \ 1) / (u \ 1) = 1 / (u \ (a(x \ 1,y,z) * 1)). [para(16939(a,2),800(a,1,1))]. 16943 (x \ 1) / a(y,z \ 1,u \ 1) = 1 / (a(y \ 1,z,u) \ (x * 1)). [para(16939(a,2),800(a,1,2))]. 16945 (L(x,x,y) * y) \ (x * y) = a(x \ y,x,x). [hyper(58,a,12077,a,b,16935,a)]. 16947 (x * y) \ (z / (y \ (x \ z))) = a(y \ z,y,x). [para(818(a,1),16935(a,1,2))]. 16948 x \ (y * (L(y,y,x) \ x)) = a(y \ x,y,y). [hyper(58,a,15807,a(flip),b,16945,a)]. 16950 (x * y) \ ((x * z) / (y \ z)) = a(y \ (x * z),y,x). [para(4(a,1),16947(a,1,2,2,2))]. 16951 a(x \ (x / y),K(z,u),w) != v5 | a(x \ (y \ x),K(z,u),w) = v5. [para(935(a,1),16924(a,1,1))]. 16952 L(x,K(y,z),u) \ x != w | a(u \ x,K(z,y),u * K(y,z)) = w. [para(16237(a,1),16924(a,1))]. 16953 a(x \ (y * z),x,y) = a(x \ z,x,y). [hyper(58,a,16935,a(flip),b,16950,a),flip(a)]. 16954 a(x \ y,x,x) = a(y,x,x). [para(4(a,1),16953(a,1,1)),flip(a)]. 16955 a(x \ (y \ z),x,y) = a(x \ z,x,y). [para(5(a,1),16953(a,1,1,2)),flip(a)]. 16956 a(x \ (y * (z * u)),x,y * z) = a(x \ L(u,z,y),x,y * z). [para(86(a,1),16953(a,1,1,2))]. 16957 x \ (y * (L(y,y,x) \ x)) = a(x,y,y). [hyper(58,a,16948,a,b,16954,a)]. 16958 x * (L(x,x,y) \ y) = y * a(y,x,x). [hyper(126,a,16957,a),flip(a)]. 16959 a(x,x,y \ 1) = a(y,x,x). [hyper(58,a,15882,a(flip),b,16957,a)]. 16960 a(x,x \ 1,y) = a(y,x,x). [hyper(15829,a,16959,a)]. 16961 L(x,y,y \ 1) \ x = a(x,y,y). [hyper(58,a,15839,a,b,16959,a)]. 16962 a(x \ 1,y,y) = a(y,y,x). [hyper(58,a,7680,a(flip),b,16959,a),flip(a)]. 16963 x \ a(y,x,x) = y \ (y / x). [hyper(111,a,16959,a(flip),b,15838,a)]. 16964 L(x \ 1,x,y) = x \ a(y,x,x). [hyper(111,a,16959,a(flip),b,15837,a),flip(a)]. 16965 K(x,y \ a(z,u,u)) = K(y,x). [para(16959(a,1),10472(a,1,2,2))]. 16966 T(x,a(y,z,z) * u) != w | T(x,u) = w. [para(16959(a,1),11362(a,1,2,1))]. 16967 (x / y) \ a(x,y,y) = y * (x \ 1). [para(16959(a,1),15840(a,1,2))]. 16968 (x * y) * a(x,y,y) = x / (y \ 1). [para(16959(a,1),15841(a,1,2))]. 16969 K(x,a(y,y,z) \ u) = K(x,u * a(z,y,y)). [para(16959(a,1),15876(a,1,2,2)),flip(a)]. 16970 a(x,x,L(y,z,u) \ 1) = L(a(y,x,x),z,u). [para(16959(a,1),15877(a,2,1))]. 16971 (x \ a(y,z,z)) \ 1 = (x \ 1) \ a(z,z,y). [para(16959(a,1),15883(a,1,1,2))]. 16972 L(x \ 1,x,y) * L(x,z,u) = a(y,x,x) * (x \ L(x,z,u)). [para(16959(a,1),15846(a,1,1)),flip(a)]. 16973 x * (L(x,x,y) \ L(x \ 1,z,u)) = a(y,x,x) * L(x \ 1,z,u). [para(16959(a,1),15919(a,1,1)),flip(a)]. 16974 L(x,a(y,y,z),a(y,y,z \ 1)) = a(y,y,z) * (x * a(z,y,y)). [para(16959(a,1),15924(a,1,2,2)),flip(a)]. 16975 (x * a(y,y,z)) \ 1 = a(z,y,y) * (x \ 1). [para(16959(a,1),15935(a,1,1)),flip(a)]. 16976 a(x,x,y) \ K(z,u) = a(y,x,x) * K(z,u). [para(16959(a,1),15936(a,1,1)),flip(a)]. 16977 K(x,a(y,z,z) \ u) = K(x,a(z,z,y) * u). [para(16959(a,1),15937(a,1,2,1))]. 16978 (x \ L(x,y,z)) \ (((x \ 1) * u) * (u \ L(x,y,z))) = a(x,u,u). [hyper(58,a,15901,a,b,16960,a)]. 16979 x * (y * ((x * y) \ 1)) = a(x,y,y). [hyper(58,a,7062,a,b,16960,a)]. 16980 x \ ((x \ 1) \ y) = y * a(y,x,x). [para(16960(a,1),7077(a,1,2)),flip(a)]. 16981 K(x,y \ a(z,u,u)) = (w * K(x,y)) \ w. [hyper(280,a,4317,a,b,16965,a),flip(a)]. 16982 K(x,L(y \ (z * (u \ 1)),a(u,z,z),u / z)) = K(x,((u / z) * y) \ a(u,z,z)). [para(16967(a,1),14709(a,1,2,1,2))]. 16983 x * (L(x,x,y) \ (y * x)) = y / (x \ 1). [hyper(58,a,15809,a,b,16968,a)]. 16984 x \ (y * (L(y,y,x) \ x)) != z | a(x,y,y) = z. [para(16958(a,2),265(a,1,2)),flip(b)]. 16985 (x \ a(y,z,z)) * K(u,x) = T(x \ a(y,z,z),u). [hyper(2982,a,16981,a),flip(a)]. 16986 x * ((L(x,x,y) \ y) * x) = y / (x \ 1). [para(1229(a,1),16983(a,1,2))]. 16987 L(x,y,y) * y = x / (y \ 1). [hyper(11283,a,16986,a)]. 16988 (x / (y \ 1)) / y = L(x,y,y). [hyper(123,a,16987,a)]. 16989 L(L(x,y,y \ 1),y,y) = x. [hyper(30,a,3953,a(flip),b,16987,a),flip(a)]. 16990 L((x \ 1) * y,x,x) = x \ y. [para(680(a,1),16989(a,1,1))]. 16991 T(x,y) = L((y \ 1) * (x * y),y,y). [para(683(a,1),16989(a,1,1)),flip(a)]. 16992 L(T(x * y,z),x,x) = T((x \ 1) \ y,z). [para(7047(a,1),16989(a,1,1))]. 16993 (x \ 1) * L(y,x,x) = x \ y. [para(16989(a,1),7049(a,1,2)),flip(a)]. 16994 L(x,y,y \ 1) * ((L(x,y,y \ 1) \ L(L(x,y,y \ 1),y,y)) * z) = (L(x,y,y \ 1) \ x) * (L(x,y,y \ 1) * z). [para(16989(a,1),11544(a,1,1,2)),flip(a)]. 16995 x \ ((x \ 1) \ y) = L(y,x,x). [para(5(a,1),16990(a,1,1)),flip(a)]. 16996 L((x * y) \ 1,y,y) = y \ (x \ 1). [para(512(a,1),16990(a,1,1))]. 16997 (x \ y) / L(y,x,x) = x \ 1. [hyper(123,a,16993,a)]. 16998 x * a(x,y,y) = L(x,y,y). [hyper(58,a,16980,a(flip),b,16995,a)]. 16999 a(x,x,y) * L(y,x,x) = y. [para(16995(a,1),15830(a,1,2))]. 17000 K(x,L(y,z,a(K(x,y) * z,u,u))) * (z * a(K(x,y) * z,u,u)) = L(K(x,y) * z,u,u). [hyper(58,a,11090,a,b,16998,a)]. 17001 x * (a(x,y,y) * T(a(x,y,y) \ (x \ z),u)) = L(x,y,y) * T((x * a(x,y,y)) \ z,u). [para(16998(a,1),1343(a,1,1)),flip(a)]. 17002 (x \ 1) * a(y,y,x) = L(x \ 1,y,y). [para(16962(a,1),16998(a,1,2))]. 17003 L(x,y,y) \ x = a(y,y,x). [hyper(515,a,16999,a)]. 17004 K(x,L(a(y,y,z),L(z,y,y),L(z,y,y) \ 1) * (L(z,y,y) * u)) = K(x,L(z * u,L(z,y,y),a(y,y,z))). [para(16999(a,1),15024(a,1,2,1,1)),flip(a)]. 17005 (x \ 1) * a(y,y,x) = L(x,y,y) \ 1. [para(17003(a,1),2631(a,1,2))]. 17006 (x \ 1) * (L(y,x,x) * T(L(y,x,x) \ (((x \ y) / L(y,x,x)) \ z),u)) = (x \ y) * T((x \ y) \ z,u). [para(16997(a,1),2355(a,1,1))]. 17007 (x * x) * L(x \ (y \ 1),z,u) = x * (x * L((y * x) \ 1,z,u)). [para(16996(a,1),559(a,1,2,1))]. 17008 (x * x) * L(x \ (y \ 1),z,u) != w | x * (x * L((y * x) \ 1,z,u)) = w. [para(16996(a,1),1176(a,1,2,1))]. 17009 T(x,(y \ ((z * u) \ 1)) * (((z * u) \ 1) \ (u \ (z \ 1)))) = T(x,y \ L((z * u) \ 1,u,u)). [para(16996(a,1),10726(a,1,2,2,2))]. 17010 x * L(x \ 1,y,y) = a(y,y,x). [hyper(29,a,1011,a,b,17002,a)]. 17011 L(x * L(x \ 1,y,y),z,u) = a(y,y,L(x,z,u)). [hyper(8177,a,17010,a)]. 17012 L(x \ 1,y,y) = L(x,y,y) \ 1. [hyper(58,a,17002,a(flip),b,17005,a)]. 17013 T((x \ 1) \ x,y) * T(x * T(x,y * y),z) = x * (T(x,y * y) * T(x * T(x,y * y),z)). [para(16992(a,1),15291(a,1,1))]. 17014 K(x,(y \ a(z,z,u)) \ w) = K(x,(y * w) * a(u,z,z)). [hyper(58,a,16662,a,b,16969,a)]. 17015 a(L(x,y,z),u,u) = L(a(x,u,u),y,z). [hyper(58,a,16959,a(flip),b,16970,a)]. 17016 K(x,((y \ 1) \ a(z,z,u)) \ w) = K(x,(y \ a(u,z,z)) * w). [para(16971(a,1),10520(a,1,2,1))]. 17018 a(x,y,y) \ 1 = a(y,y,x). [hyper(10591,a,16976,a)]. 17019 L(T(x,a(y,z,z)),a(y,z,z),a(y,z,z) \ x) = a(z,z,y) * (x * a(y,z,z)). [para(17018(a,1),8784(a,2,1))]. 17020 (x \ a(y,z,z)) * K(u,a(z,z,y) * x) = T(x \ a(y,z,z),u). [para(16977(a,1),3601(a,1,2))]. 17021 a(x,x,y \ 1) != z | a(y,x,x) = z. [para(15882(a,1),16984(a,1))]. 17022 a(x \ y,x,x) != z | a(y,x,x) = z. [para(16948(a,1),16984(a,1))]. 17023 a(x \ 1,x,y) != z | a(y,x,x) = z. [para(15824(a,2),17021(a,1))]. 17026 a(x,x,L(y,z,u)) = L(a(x,x,y),z,u). [para(17010(a,1),17011(a,1,1)),flip(a)]. 17027 a(x,x,L(y,z,K(u,w))) = a(x,x,y). [hyper(280,a,11754,a(flip),b,17026,a),flip(a)]. 17028 a(x,x,L(y,z,T(u,w))) = a(x,x,L(y,z,u)). [para(6448(a,1),17027(a,1,3))]. 17029 a(K(x,y) * (z * (u * K(y,x))),K(w,v5),v6) != v7 | a(z * u,K(w,v5),v6) = v7. [para(16486(a,2),16922(a,1))]. 17030 (L(x,y,y \ z) * z) \ (x * z) = a(y \ z,y,x). [hyper(16070,a,16916,a)]. 17031 x \ (y * (L(y,z,z \ x) \ x)) = a(z \ x,z,y). [hyper(58,a,15807,a(flip),b,17030,a)]. 17032 (x \ ((x * y) * (y \ z))) \ z = a(y \ z,y,x). [hyper(58,a,11270,a(flip),b,17031,a)]. 17033 x \ (y * (z * ((y * z) \ x))) = a(z \ x,z,y). [para(11101(a,1),17031(a,1,2,2))]. 17034 (x \ y) \ (x * (L(x,z,z \ y) \ (x \ y))) = a(z \ y,z,x). [hyper(58,a,15930,a,b,17032,a)]. 17035 a(x \ (y \ (z * x)),x,z) = y * L(y \ 1,x,z). [hyper(16241,a,17033,a),flip(a)]. 17036 x * a(y \ x,y,z) = z * (y * ((z * y) \ x)). [hyper(126,a,17033,a)]. 17037 K(x,L(y,z,a(u,w,(u * w) \ v5))) = K(x,L(y,a(w \ v5,w,u),z)). [para(17033(a,1),14928(a,1,2,2)),flip(a)]. 17038 K(x,L(y,z,a(u \ w,u,v5))) = K(x,L(y,z,a(u,v5,w))). [para(17033(a,1),15662(a,1,2,3))]. 17039 a((x * y) \ z,x,y) = a(x \ z,x,y). [hyper(29,a,11835,a,b,17036,a)]. 17040 ((x * y) / z) * a(y \ ((x * y) / z),y,x) = x * (y * L(z \ 1,z,x * y)). [para(336(a,2),17036(a,2,2,2))]. 17041 L(x * (((y \ 1) * x) \ z),y,y \ 1) = y * (z * a(x \ z,x,y \ 1)). [para(17036(a,2),7045(a,1,2)),flip(a)]. 17042 a((x * y) \ z,y,x) = a(y \ z,y,x). [hyper(58,a,16914,a,b,17039,a)]. 17043 a((x * y) / ((y * x) * z),y,x) = a(y \ ((x * y) / z),y,x). [hyper(58,a,11742,a,b,17039,a)]. 17044 L(x,y,y \ L(x,z,u)) \ x = a(y \ L(x,z,u),y,x). [hyper(58,a,11740,a(flip),b,17039,a)]. 17045 a(x \ ((x * y) * z),x,y * z) = a(a(x,y,z),x,y * z). [para(9(a,2),17039(a,1,1)),flip(a)]. 17046 a(x \ (x * (y * z)),x,y) = a(L(z,y,x),x,y). [para(13(a,2),17039(a,1,1)),flip(a)]. 17047 a(x \ (y * (x * z)),x,z) = a(T(y,x * z),x,z). [para(17(a,2),17039(a,1,1)),flip(a)]. 17048 a(x \ (y \ (z * x)),x,z) = a(z,x,x \ (y * (z * x))). [hyper(58,a,15918,a(flip),b,17042,a),flip(a)]. 17049 a(L(x,y,z),z,y) = a(y * x,z,y). [para(4(a,1),17046(a,1,1)),flip(a)]. 17051 a(L(L(x,y,z),u,w),z,y) = a(y * L(x,u,w),z,y). [para(25(a,1),17049(a,1,1))]. 17052 a(x \ (y * (x * z)),x,z) = a(y,x,z). [hyper(280,a,11731,a(flip),b,17047,a),flip(a)]. 17053 a(x \ (y * (x * T(z,x))),x,z) = a(y,x,T(z,x)). [hyper(58,a,16909,a(flip),b,17052,a)]. 17054 a(x * y,x,y) = a(x,x,y). [para(4(a,1),17052(a,1,1))]. 17055 a(L(x \ 1,x,y * z),y,z) = a(y \ (x \ (y * z)),y,z). [para(1063(a,1),17052(a,1,1,2)),flip(a)]. 17056 a(K(x,T(y,z)) \ (u * T(K(x,K(y,z)) * w,K(x,y))),K(x,T(y,z)),w * K(y,x)) = a(u,K(x,T(y,z)),w * K(y,x)). [para(7327(a,2),17052(a,1,1,2,2))]. 17057 ((x * y) * (x * y)) * ((x * y) \ a(x,x,y)) = L(x * y,x,y). [para(17054(a,1),11535(a,1,2,2))]. 17058 a(x \ (y * (z * x)),x,z) = a(y,x,T(z,x)). [para(101(a,1),17053(a,1,1,2,2))]. 17059 a(x \ (y * (z * x)),x,z) = a(y,x,z). [hyper(280,a,16909,a(flip),b,17058,a),flip(a)]. 17060 a(x * (y * K(z,u)),K(z,u),y * K(z,u)) = a(x,K(z,u),y). [hyper(58,a,16173,a(flip),b,17059,a)]. 17061 a(K(x,y) * (z * (u * K(y,x))),K(y,x),u) = a(z,K(y,x),u). [para(4271(a,1),17059(a,1,1))]. 17062 L(x,K(y,z),K(z,y) \ (u * (x * K(z,y)))) = x * a(u,K(z,y),x). [para(17059(a,1),16151(a,1,2)),flip(a)]. 17063 K(x,L(y,z,a(u,K(w,v5),v6))) = K(x,y). [hyper(13247,a,17038,a),flip(a)]. 17064 (K(x,y) * z) * a(u,K(w,v5),v6) = K(x,y) * (a(u,K(w,v5),v6) * z). [para(17063(a,1),14590(a,1,1)),flip(a)]. 17065 a(x,y,y) * (y \ L(y,z,u)) = L(y,y,x) \ L(y,z,u). [hyper(58,a,15912,a(flip),b,16972,a),flip(a)]. 17066 L(x,x,y) \ x = a(y,x,x). [hyper(30,a,2303,a,b,17065,a)]. 17067 (L(x,x,y) \ x) * (x \ z) = x \ (a(y,x,x) * z). [para(17066(a,1),2301(a,1,2,1)),flip(a)]. 17068 x \ (a(y,x,x) * z) = a(y,x,x) * (x \ z). [para(17066(a,1),17067(a,1,1)),flip(a)]. 17069 (x \ a(y,x,x)) * T((x \ a(y,x,x)) \ z,u) = a(y,x,x) * (x \ T(a(y,x,x) \ (x * z),u)). [hyper(1953,a,17068,a)]. 17070 x \ (y * a(z,x,x)) = a(z,x,x) * (x \ y). [para(9720(a,1),17068(a,1,2))]. 17071 a(x,y,y) * (y \ T(a(x,y,y) \ z,u)) = y \ T(z,u). [para(11154(a,1),17070(a,1,2)),flip(a)]. 17072 K(x,((y \ 1) * z) * a(u,w,w)) = K(x,(y \ a(u,w,w)) * z). [hyper(58,a,17014,a(flip),b,17016,a)]. 17073 (x \ y) \ (x * (x \ (L(x,z,z \ y) \ y))) = a(z \ y,z,x). [para(1943(a,1),17034(a,1,2,2))]. 17074 a(x \ ((y * x) / z),x,y) != u | a(((x * y) * z) \ (y * x),x,y) = u. [para(17043(a,1),14167(a,1))]. 17075 ((x * y) * (x * y)) * ((y \ 1) / x) = L(x * y,x,y). [para(15828(a,1),17057(a,1,2))]. 17076 (x * y) * ((x * y) * ((y \ 1) / x)) = L(x * y,x,y). [hyper(58,a,11620,a(flip),b,17075,a)]. 17077 (x * y) * a(x,x,y) = L(x * y,x,y). [para(15825(a,1),17076(a,1,2))]. 17078 (x \ y) \ (x * (x \ (z * ((x * z) \ y)))) = a(z \ y,z,x). [para(11101(a,1),17073(a,1,2,2,2))]. 17079 (x \ y) \ (z * ((x * z) \ y)) = a(z \ y,z,x). [para(5(a,1),17078(a,1,2))]. 17080 x \ (y * ((z * y) \ (z * x))) = a(y \ (z * x),y,z). [para(4(a,1),17079(a,1,1))]. 17082 x \ (y * ((z * y) \ (z * x))) = a(y \ x,y,z). [hyper(280,a,16953,a(flip),b,17080,a),flip(a)]. 17083 L(T(x,y) \ ((z * y) \ (z * (x * y))),x,y) = a(y \ (x * y),y,z). [hyper(6733,a,17082,a)]. 17084 x \ (y * L(y \ x,y,z)) = a(y \ x,y,z). [para(88(a,2),17082(a,1,2,2))]. 17086 a(x \ (x / y),x,z) != u | y * L(y \ 1,x,z) = u. [para(17084(a,1),1983(a,1))]. 17087 a(x \ y,K(z,u),x * K(u,z)) = a(x,K(u,z),y). [hyper(16952,a,16763,a)]. 17088 a(x \ y,K(z,u),K(z,u) \ x) = a(x,K(u,z),y). [hyper(58,a,14237,a,b,17087,a)]. 17089 ((x * y) / (K(z,u) \ y)) \ (x * K(z,u)) = a(y,K(u,z),x * K(z,u)). [hyper(58,a,11858,a(flip),b,17088,a)]. 17090 a(x \ y,K(z,u),K(u,z) * x) = a(x,K(u,z),y). [para(4271(a,1),17088(a,1,3))]. 17091 L(K(x,y) * z,K(y,x),z \ u) = a(z,K(x,y),u) \ (K(x,y) * z). [para(17090(a,1),16767(a,1,1)),flip(a)]. 17092 a(x,x,y) * (z * a(y,x,x)) = L(z,a(x,x,y),a(y,x,x)). [para(16959(a,1),16974(a,1,3)),flip(a)]. 17093 a(x,x,y) * (a(y,x,x) * z) = L(z,a(x,x,y),a(y,x,x)). [para(9720(a,2),17092(a,1,2))]. 17094 (a(x,y,y) * z) * a(y,y,x) = L(z,a(y,y,x),a(x,y,y)). [hyper(10469,a,17093,a)]. 17095 K(x,a(y,y,z) * u) = K(x,u). [hyper(29,a,16985,a,b,17020,a),flip(a)]. 17097 K(x,y * a(z,z,u)) = K(x,y). [hyper(13178,a,17095,a)]. 17099 K(x,y / L(z,u,u \ 1)) = K(x,y * (z \ 1)). [hyper(58,a,16571,a(flip),b,17097,a)]. 17100 K(x,y * ((z \ 1) \ u)) = K(x,y * (z * u)). [hyper(58,a,16564,a(flip),b,17097,a),flip(a)]. 17101 K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)). [hyper(58,a,16547,a(flip),b,17097,a)]. 17102 K(x,y * (z * (u \ 1))) = K(x,y * (z / u)). [hyper(58,a,16541,a(flip),b,17097,a)]. 17103 K(x,y * a(z,u,u)) = K(x,y). [para(16959(a,1),17097(a,1,2,2))]. 17104 K(x,(y \ a(z,u,u)) * w) = K(x,(y \ 1) * w). [hyper(58,a,17072,a(flip),b,17103,a)]. 17106 K(x,y * (((z \ y) \ 1) * u)) = K(x,(z * y) * (y \ u)). [hyper(16665,a,17101,a)]. 17107 K(x,y / ((z \ 1) * u)) = K(x,y * (u \ z)). [hyper(10837,a,17101,a)]. 17109 K(x,y * ((z * u) \ K(w,v5))) = K(x,y * (u \ (z \ K(w,v5)))). [hyper(58,a,14854,a(flip),b,17101,a)]. 17110 K(x,K(y,z * (u \ w))) * K(y,(z * ((u \ 1) * w)) \ x) = K(y,x / (z * ((u \ 1) * w))). [para(17101(a,1),5899(a,1,1,2))]. 17111 K(x,K(y,z * (u \ w))) * K(y,(z * ((u \ 1) * w)) / x) = K(y,x \ (z * ((u \ 1) * w))). [para(17101(a,1),5906(a,1,1,2))]. 17112 K(x,y * (z \ ((u \ 1) * w))) != v5 | K(x,y / (((w \ 1) * u) * z)) = v5. [para(17101(a,1),10838(a,1))]. 17113 a(x,((y \ 1) * z) \ u,K(w,v5)) = a(w,v5,K(x,u * (z \ y))). [para(17101(a,1),14933(a,2,3))]. 17114 a(x,((y \ 1) * z) \ u,K(w,v5)) * K(x,u * (z \ y)) = K(x,L(u * ((z \ 1) * y),w,v5)). [para(17101(a,1),14963(a,1,2))]. 17115 K(x,y / (z * (u \ 1))) = K(x,y * (u / z)). [hyper(10836,a,17102,a)]. 17117 K(x,(y * (z \ 1)) * ((z * u) * (y \ 1))) = K(x,(y * ((z / u) \ 1)) * (z / y)). [hyper(58,a,11542,a(flip),b,17102,a)]. 17118 K(x,y / (z * (u \ (w \ 1)))) = K(x,y * ((w / (u \ 1)) / z)). [hyper(58,a,10930,a(flip),b,17102,a)]. 17119 K(x,y * (z / (u \ 1))) = K(x,y * (z * u)). [para(378(a,1),17102(a,1,2,2,2)),flip(a)]. 17120 K(x,y * (z / ((u \ 1) * w))) = K(x,y * (z * ((w \ 1) * u))). [para(528(a,1),17102(a,1,2,2,2)),flip(a)]. 17121 K(x,L(y,z,z \ 1) * (z / u)) != w | K(x,L((y * z) / u,z,y)) = w. [para(17102(a,1),15029(a,1))]. 17122 K(x,y * ((z \ 1) / u)) = K(x,y / (u * z)). [para(378(a,1),17115(a,1,2,2,2)),flip(a)]. 17123 K(x,y / (z * (u * (w \ 1)))) = K(x,y * ((w * (u \ 1)) / z)). [para(298(a,1),17115(a,1,2,2,2))]. 17124 K(x,y / (z * ((u \ 1) * w))) = K(x,y * (((w \ 1) * u) / z)). [para(528(a,1),17115(a,1,2,2,2))]. 17125 K(x,y * (((z \ u) \ 1) / (u \ (u / w)))) = K(x,y / (u * ((z * (w * u)) \ u))). [para(1003(a,1),17122(a,2,2,2))]. 17127 K(x,y / L(z,u,u \ 1)) = K(x,y / z). [hyper(280,a,10517,a(flip),b,17099,a),flip(a)]. 17128 K(x,L(T(y * z,u),u,y)) = K(x,((u * y) * z) / u). [hyper(58,a,15117,a(flip),b,17127,a)]. 17132 K(x,(y \ a(z,u,u)) * w) = K(x,y \ w). [hyper(280,a,10519,a(flip),b,17104,a),flip(a)]. 17133 K(x,(y \ (y / z)) * u) = K(x,z \ u). [para(16963(a,1),17132(a,1,2,1))]. 17134 K(x,(y * (z \ 1)) * u) = K(x,(z / y) \ u). [para(16967(a,1),17132(a,1,2,1))]. 17135 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [para(67(a,1),17133(a,1,2,1,2)),flip(a)]. 17136 K(x,(y \ (z \ y)) * u) = K(x,T(z,y) \ u). [para(428(a,1),17133(a,1,2,1,2))]. 17137 K(x,(y / z) \ u) = K(x,(z / y) * u). [para(934(a,1),17133(a,1,2,1)),flip(a)]. 17138 K(x,(y \ z) * (u \ K(z,y))) = K(u * (y / z),x). [hyper(58,a,12380,a(flip),b,17135,a),flip(a)]. 17139 K(x,(y / (y \ z)) \ u) = K(x,(y \ (z / y)) * u). [para(446(a,2),17135(a,1,2,1))]. 17141 K(x,K(y,(z \ u) * w)) * K(y,x * ((u \ z) \ w)) = K(y,((u \ z) \ w) * x). [para(17135(a,1),6501(a,1,1,2))]. 17142 K(x,(((y \ 1) * z) \ y) \ u) = K(x,((z * (y \ 1)) / y) * u). [hyper(58,a,12021,a(flip),b,17137,a)]. 17143 K(x,(y * (z \ 1)) * u) = K(x,(y / z) * u). [hyper(280,a,17137,a(flip),b,17134,a),flip(a)]. 17144 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [hyper(10800,a,17143,a)]. 17145 (x * (y \ T(y * (x \ z),u))) \ z = K(u,(y / x) * z). [hyper(58,a,4938,a,b,17144,a)]. 17146 K(x,(T(y,z) \ z) / u) = K(u * (y / z),x). [hyper(58,a,14957,a(flip),b,17138,a)]. 17147 K(x,T(y \ z,z) / u) = K(u * (y / z),x). [para(432(a,2),17146(a,1,2,1))]. 17148 K(x / (y / z),u) = K(x * (z / y),u). [hyper(14786,a,17147,a)]. 17149 K(x * (y / z),u) = K(u,(z / y) / x). [hyper(14785,a,17147,a),flip(a)]. 17150 K(x,K(y * (z / u),w)) * K(w,x / ((u / z) / y)) = K(w,((u / z) / y) \ x). [para(17149(a,2),5901(a,1,1,2))]. 17152 K(x,(y * z) * (z \ u)) = K(x,z * ((y \ z) \ u)). [hyper(58,a,17101,a(flip),b,17106,a),flip(a)]. 17153 K(x,y * ((z \ y) \ u)) * K(x,K(z,u)) = K(x,u * R(z,y,y \ u)). [para(17152(a,1),11557(a,1,1))]. 17154 K(x,y * (z \ ((u \ K(w,K(v5,v6))) \ K(w,v7)))) = K(x,y * ((z \ K(w,v7)) * u)). [hyper(15491,a,17109,a),flip(a)]. 17155 K(x,(((y \ 1) * z) \ y) \ u) = K(x,((z / y) * (y \ 1)) * u). [para(7055(a,1),17142(a,2,2,1))]. 17156 K(x,(((y \ 1) * z) \ y) \ u) = K(x,(y / (z / y)) \ u). [hyper(280,a,17134,a(flip),b,17155,a),flip(a)]. 17157 K(x,(((y \ 1) * z) \ y) \ u) = K(x,(y * (y / z)) \ u). [para(1007(a,1),17156(a,2,2,1))]. 17158 K(x,(y \ ((y \ 1) * z)) * u) = K(x,(y * (y / z)) \ u). [hyper(58,a,17135,a(flip),b,17157,a)]. 17159 K(x,((y \ 1) * (y \ z)) * u) = K(x,(y * (y / z)) \ u). [para(7017(a,1),17158(a,1,2,1))]. 17160 x \ (a(x / y,y,z) \ ((x / y) * y)) = a(z,y,y \ x). [para(7(a,1),16940(a,1,1))]. 17161 x \ (a(y \ x,y,z) \ ((x / y) * y)) = a(z,y,y \ x). [para(16073(a,1),17160(a,1,2,1))]. 17162 x \ (a(y \ x,y,z) \ x) = a(z,y,y \ x). [para(7(a,1),17161(a,1,2,2))]. 17163 a(x,y,(x * y) \ z) = a(x,y,y \ z). [hyper(58,a,16079,a,b,17162,a)]. 17165 a(x,y,y \ (z * (x * y))) = a(x,y,T(z,x * y)). [para(17(a,2),17163(a,1,3)),flip(a)]. 17166 a(x,y,y \ (z * (x * y))) = a(x,y,z). [hyper(280,a,15786,a(flip),b,17165,a),flip(a)]. 17168 a(x \ (y \ (z * x)),x,z) = a(z,x,y). [hyper(58,a,17048,a,b,17166,a)]. 17169 a(x,y,x * y) = a(x,y,y). [para(4(a,1),17166(a,1,3))]. 17170 L(a(x,y,y) \ 1,a(x,y,x * y),(x * y) * (x * y)) = (x * y) \ ((x * (y * (x * y))) / (x * y)). [para(17169(a,1),2614(a,1,1,1))]. 17171 a(x,y,T(x * y,z)) = T(a(x,y,y),z). [para(17169(a,1),16907(a,2,1))]. 17172 a(x,y,z) = z * L(z \ 1,y,x). [hyper(58,a,17035,a(flip),b,17168,a),flip(a)]. 17173 L(x \ 1,y,z) = x \ a(z,y,x). [hyper(111,a,17168,a(flip),b,17035,a(flip)),flip(a)]. 17175 a(x \ (y * (z * x)),x,y * z) = a(y * z,x,a(y,z,x)). [para(11444(a,1),17168(a,1,1,2))]. 17176 a(x,y,z) = L(z \ 1,y,x) * z. [hyper(280,a,705,a,b,17172,a),flip(a)]. 17177 x / (L(y / x,z,u) \ y) = a(u,z,x / y). [hyper(280,a,8975,a(flip),b,17172,a)]. 17178 L(x * L(x \ 1,y,z),u,w) = a(z,y,L(x,u,w)). [hyper(280,a,8176,a(flip),b,17172,a)]. 17179 x \ (y * L(y \ x,z,u)) = a(u,z,x \ y). [hyper(280,a,2182,a(flip),b,17172,a)]. 17180 a(x,y,z \ 1) = z \ L(z,y,x). [hyper(280,a,1657,a(flip),b,17172,a),flip(a)]. 17181 x * (y * L(y \ (x \ 1),z,u)) = a(u,z,x * y). [hyper(280,a,1567,a(flip),b,17172,a)]. 17182 x \ (x * a(y,z,u)) = u * L(u \ 1,z,y). [hyper(58,a,4,a,b,17172,a)]. 17183 L(x,y,K(z,u) * K(w,v5)) \ x = a(K(z,u) * K(w,v5),y,x). [hyper(16437,a,17172,a(flip))]. 17185 a(x,y,z \ 1) != u | z \ L(z,y,x) = u. [para(17172(a,2),1665(a,1))]. 17186 a(x,y,z) * (z \ (y * x)) = x * (y * ((x * y) \ (z \ (y * x)))). [para(17172(a,2),6807(a,1,1))]. 17187 a(x,y,a(z,u,x)) = 1. [para(17172(a,2),8189(a,1,3))]. 17188 L(x,y,a(z,u,x)) = x. [para(17172(a,2),11083(a,1,3))]. 17189 K(x,L(y,a(z,u,w),v5)) = K(x,L(y,v5,a(u,z,w))). [para(17172(a,2),16008(a,1,2,2))]. 17194 L(x,y,a(x,z,u)) = x. [para(17168(a,1),17188(a,1,3))]. 17195 (x * y) * a(x,z,u) = x * (y * a(x,z,u)). [para(17194(a,1),11074(a,1,1)),flip(a)]. 17196 x * L(x \ 1,y,z) != u | a(z,y,x) = u. [para(17173(a,2),239(a,1,2)),flip(b)]. 17198 a(x,K(y,z),u \ 1) = a(u,K(y,z),x). [hyper(280,a,14247,a(flip),b,17180,a),flip(a)]. 17199 L(x,y,z) = x * a(z,y,x \ 1). [hyper(126,a,17180,a(flip)),flip(a)]. 17200 x * a(y,z,x \ 1) != u | L(x,z,y) = u. [para(17180(a,2),239(a,1,2)),flip(b)]. 17201 L(x,y,z) = a(z,y,x \ 1) * x. [para(17180(a,2),451(a,1,1)),flip(a)]. 17202 (L(x,y,z) \ x) * a(u,w,x \ 1) = L(x,y,z) \ L(x,w,u). [para(17180(a,2),2303(a,1,2))]. 17203 L(x,y,a(z,u,x \ 1)) = x. [para(17180(a,2),11084(a,1,3))]. 17205 a(x,y,z \ a(u,K(w,v5),K(v6,v7))) = z \ L(z,y,x). [para(14447(a,2),17180(a,1,3,2))]. 17207 a(x,y,z \ 1) * (T(u,a(x,y,z \ 1)) * z) = (u * a(x,y,z \ 1)) * z. [para(17203(a,1),561(a,1,2)),flip(a)]. 17209 (x \ y) * L(x,x,y) = (x \ 1) * (y * x). [para(17199(a,2),15386(a,1,2))]. 17210 a(x,y,T(x * y,z)) = a(x,y,y). [hyper(280,a,9715,a(flip),b,17171,a),flip(a)]. 17212 T((x * y) * (x * y),z) / a(x,y,y) = x * (y * T(x * y,z * z)). [para(17210(a,1),11057(a,1,2))]. 17213 x * L(x \ 1,K(y,z),u) = a(x,K(y,z),u \ 1). [hyper(280,a,17172,a(flip),b,17198,a)]. 17214 a(x,K(y,z),u * ((w * u) \ 1)) = a(L(w,u,u \ 1),K(y,z),x). [para(3956(a,1),17198(a,1,3))]. 17217 a(x \ (y \ (z * x)),x,z) != u | a(z,x,y) = u. [para(17035(a,2),17196(a,1))]. 17219 (x * x) \ (y * (x * T(x,y))) = L((x \ 1) * (y * x),x,x). [para(17209(a,1),6768(a,1,1)),flip(a)]. 17220 K(x,y) * (z * L(z \ K(y,x),u,w)) = a(w,u,z / K(y,x)). [hyper(58,a,14325,a(flip),b,17177,a)]. 17221 x \ ((x / y) * L(y,z,u)) = a(u,z,x \ (x / y)). [para(70(a,1),17179(a,1,2,2,1))]. 17222 x * (y * L(z \ 1,z,x * y)) = ((x * y) / z) * a(x,y,z). [hyper(2378,a,17182,a)]. 17223 L(a(x,y,z),u,x) = a(x,y,z). [hyper(2109,a,17195,a)]. 17224 x \ ((x * y) * z) = (y * z) * a(x,y,z). [hyper(667,a,17195,a)]. 17226 x * (y * a(x,x,y)) = L(x * y,x,y). [hyper(58,a,17077,a(flip),b,17195,a),flip(a)]. 17229 L(x * y,x,y) = L(x,x,y) * y. [hyper(58,a,11912,a(flip),b,17226,a),flip(a)]. 17230 L(x * y,x,y) \ x = (x \ 1) * (x / y). [para(17229(a,2),10938(a,1,1))]. 17231 x * (x * T(x * x,L(y * z,z,y) * L(z * y,z,y))) = T(x * (x * (x * x)),y * L(z,z,y)). [para(17229(a,2),15859(a,1,2,2,2,2))]. 17232 a(x,y,z) = (y * z) \ (x \ ((x * y) * z)). [hyper(111,a,17224,a,b,xx),flip(a)]. 17233 (x * y) \ (z \ ((z * x) * y)) != u | a(z,x,y) = u. [para(17224(a,2),265(a,1,2)),flip(b)]. 17234 L(a(x,y,z) \ u,a(x,y,z),y * z) = (x \ ((x * y) * z)) \ ((y * z) * u). [para(17224(a,2),88(a,2,1))]. 17235 L((x * y) * ((a(z,x,y) \ 1) / (x * y)),a(z,x,y),x * y) = (x * y) / (z \ ((z * x) * y)). [para(17224(a,2),1304(a,2,2))]. 17239 (x * y) \ (T(x,z) \ ((x * T(x,z)) * y)) = a(T(x,z),x,y). [para(228(a,1),17232(a,2,2,2,1)),flip(a)]. 17241 (K(x,y) * z) \ (u \ ((u * K(x,y)) * z)) != w | a(z,K(y,x),u) = w. [para(17232(a,1),16153(a,1))]. 17243 a(T(x,y) \ (z \ (x * y)),T(x,y),y) != u | a(y,T(x,y),z) = u. [para(101(a,1),17217(a,1,1,2,2))]. 17244 a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). [para(17172(a,2),17178(a,1,1)),flip(a)]. 17245 a(x,y,L(z,u,x)) = a(x,y,z). [hyper(280,a,17223,a(flip),b,17244,a),flip(a)]. 17246 (x * y) \ (x * (y * a(z,u,w))) = a(z,u,L(w,y,x)). [hyper(280,a,13,a(flip),b,17244,a)]. 17247 a(x,y,z) \ a(x,y,L(z,u,w)) = a(w,u,a(x,y,z) \ 1). [hyper(111,a,17244,a,b,17199,a(flip))]. 17248 x * a(y,K(z,u),L(w,y,x)) = (x / y) * L(y,K(z,u),w). [para(17244(a,2),14254(a,1,2))]. 17249 T(a(x,K(y,z),L(u,w,v5)) \ 1,v6) = L(a(u,K(z,y),x),w,v5) \ 1. [para(17244(a,2),16155(a,1,1,1))]. 17250 a(x \ 1,y \ 1,L(z \ 1,u,w)) = L(a(x,y,z) \ 1,u,w). [para(16928(a,1),17244(a,2,1))]. 17251 a(L(x,y,z),z,L(y,u,w)) = L(a(y * x,z,y),u,w). [para(17049(a,1),17244(a,2,1))]. 17252 a(x,y,(x * z) \ u) = a(x,y,z \ (x \ u)). [para(269(a,1),17245(a,1,3))]. 17253 a(x,y,L(T(z \ 1,x),u,w)) = a(x,y,L(x \ (z \ x),u,w)). [para(1071(a,1),17245(a,1,3)),flip(a)]. 17254 a(x,y,(z \ 1) * x) = a(x,y,z \ x). [para(8765(a,1),17245(a,1,3))]. 17255 ((x \ y) \ 1) * ((y \ (y / x)) * L((y \ (y / x)) \ (((x \ y) \ 1) \ 1),z,u)) = a(u,z,x * ((y * x) \ 1)). [para(11297(a,1),17181(a,2,3))]. 17256 K(x,L(y,z,a(u,w,v5))) = K(x,L(y,w,a(z,u,v5))). [hyper(14997,a,17189,a),flip(a)]. 17257 a(x \ 1,K(y,z),u) = a(x,K(y,z),u \ 1). [hyper(14262,a,17213,a)]. 17258 (x \ y) \ ((y * K(z,u)) * (K(u,z) * (y \ (x \ y)))) = a(x,K(u,z),(y * K(z,u)) \ 1). [hyper(58,a,16876,a,b,17213,a)]. 17259 x * (y * L(y \ 1,K(z,u),w)) = x * a(y,K(z,u),w \ 1). [hyper(53,a,17213,a)]. 17260 x * a(y,K(z,u),x \ 1) = L(x,K(u,z),y \ 1). [para(17257(a,1),16151(a,1,2))]. 17262 L(x \ L(x,y,z),x,u) = a(z,y,u \ (u / x)). [hyper(2410,a,17221,a)]. 17263 L(x,K(y,z),u \ 1) != w | L(x,K(z,y),u) = w. [para(17260(a,1),17200(a,1))]. 17264 a(x,y,K(z,u) \ a(w,K(v5,v6),K(v7,v8))) = K(z,u) \ K(z,L(u,y,x)). [para(9384(a,1),17205(a,2,2))]. 17266 a(x,y,L(z,u,w)) != v5 | L(a(x,y,z),u,w) = v5. [para(17246(a,1),562(a,1))]. 17267 a(L(x,y,z),z,L(y,u,w)) = a(y * x,z,L(y,u,w)). [hyper(280,a,17244,a,b,17251,a),flip(a)]. 17268 L(x,y,z) != a(L(u,w,v5),v5,L(w,y,z)) | a(w * u,v5,w) = x. [para(17251(a,2),45(a,1)),flip(a)]. 17269 a(x \ L(x,y,z),x,z * y) = a(z * y,x,a(z,y,x)). [hyper(58,a,16956,a(flip),b,17175,a)]. 17270 (x * L(y,y,x)) * (L(y,y,x) * x) = (x * (y * T(y,x))) * L((y \ 1) * (x * y),y,y). [para(17219(a,1),7519(a,1,2)),flip(a)]. 17271 a(T(x,y),x,z) != (x * z) \ u | T(x,y) \ ((x * T(x,y)) * z) = u. [para(17239(a,1),42(a,1))]. 17272 a(x,y,K(z,u)) * a(x,w,K(z,v5)) = a(K(v5,w) * K(u,y),x,z). [hyper(16465,a,17183,a)]. 17273 (L(x,y,y \ L(x,z,u)) \ x) * a(u,z,x \ 1) = y * ((x * y) \ L(x,z,u)). [hyper(280,a,11101,a(flip),b,17202,a),flip(a)]. 17274 K(x,y) * (z * L(z \ K(y,x),u,w)) = a(w,u,z * K(x,y)). [para(4323(a,1),17220(a,2,3))]. 17275 ((x * y) / z) * a(y \ (z \ (x * y)),y,x) = x * (y * L(z \ 1,z,x * y)). [para(17168(a,2),17222(a,2,2)),flip(a)]. 17276 L(a(x,y,z \ u) \ 1,z \ u,z) = a(x \ 1,y \ 1,u \ z). [para(337(a,1),17250(a,1,3)),flip(a)]. 17277 a(x \ 1,y \ 1,z \ a(u,w,z)) = L(a(x,y,z) \ 1,w,u). [para(17173(a,1),17250(a,1,3))]. 17278 x * (K(y,z) * L(K(z,y) / x,u,w)) = a(w,u,x * K(y,z)). [hyper(58,a,14318,a(flip),b,17274,a)]. 17279 x / a(y \ 1,z \ 1,u \ a(x,a(y,z,u),u)) = x * a(y,z,u). [para(17277(a,2),338(a,1,2))]. 17280 x * T(L(K(y,z) / x,u,w) * K(z,y),K(y,z) / x) = a(w,u,x * K(z,y)). [para(13683(a,2),17278(a,1,2))]. 17281 a(a(x,y,K(z,u)),w,v5) * (v5 \ (a(z,y,K(u,x)) * w)) = a(x,y,K(z,u)) * (w * ((a(x,y,K(z,u)) * w) \ (v5 \ (w * a(x,y,K(z,u)))))). [para(13278(a,2),17186(a,1,2,2))]. 17282 L(x,y,T(z,u \ z)) * a(K(x,z) * K(x,z),u,y) = L(x,y,T(z,u)). [para(17272(a,1),15776(a,1,2))]. 17283 (x \ R(x,y \ 1,z \ 1)) * (a(u,x,x) * L(x \ 1,y,z)) = L(x \ 1,x,u). [para(16973(a,1),15899(a,1,2))]. 17284 (K(x * x,y) * K(x * x,y)) * L(K(x * x,y) \ (K(x,y * y) \ 1),z,u) = K(x * x,y) * (K(x * x,y) * L(K(x * x,y * y) \ 1,z,u)). [para(11423(a,1),17007(a,2,2,2,1,1))]. 17285 K(x,L(y,z,a(u,w,(u * w) \ v5))) = K(x,L(y,w \ v5,a(z,w,u))). [hyper(280,a,14872,a(flip),b,17037,a),flip(a)]. 17286 L(x,K(y,z),K(z,y) \ (u * (x * K(z,y)))) = L(x,K(y,z),u). [hyper(280,a,16151,a(flip),b,17062,a),flip(a)]. 17287 L(x,K(y,z),K(y,z) * (u * (x * K(z,y)))) = L(x,K(y,z),u). [para(4271(a,1),17286(a,1,3))]. 17288 L(x,K(y,z),u * x) = L(x,K(y,z),u). [hyper(58,a,15348,a(flip),b,17287,a)]. 17289 L(x,K(y,z),x * u) = L(x,K(y,z),u). [hyper(6925,a,17288,a)]. 17290 L(x,K(y,z),u * K(y,z)) = L(x,K(y,z),u). [hyper(58,a,16196,a,b,17288,a)]. 17292 L(x,K(y,z),u / x) = L(x,K(y,z),u). [para(7(a,1),17288(a,1,3)),flip(a)]. 17293 L(x,K(y,z),L(u \ 1,u,x)) = L(x,K(y,z),x / u). [para(343(a,1),17289(a,1,3)),flip(a)]. 17294 (x * ((K(y,z * z) * x) \ u)) / L(x,K(z * z,y),u) = (u / x) * K(z * z,y). [para(17292(a,1),15192(a,1,2))]. 17295 L(x,K(y,z),K(y,z) * u) = L(x,K(y,z),u). [hyper(13256,a,17290,a)]. 17296 L(x * K(y,z),K(z,y),u) = L(x,K(z,y),u) * K(y,z). [para(17290(a,1),16198(a,1,1)),flip(a)]. 17297 L(x * y,K(z,u),K(z,u) * x) = x * L(y,K(z,u),x). [para(17290(a,1),16771(a,2,2))]. 17298 x * (K(y,z) * ((x * K(y,z)) \ u)) = L(u,K(y,z),x). [hyper(58,a,16772,a,b,17295,a)]. 17299 L(x,K(y,z),K(z,y) * u) = L(x,K(y,z),u). [para(4268(a,1),17295(a,1,3)),flip(a)]. 17300 x / (K(y,z) * ((u * T(y,z)) \ x)) = L(u * y,K(y,z),x). [hyper(58,a,11098,a(flip),b,17299,a)]. 17301 L(x,K(y,z),K(z,y) * u) = (x / u) * L(u,K(z,y),x). [para(17299(a,1),11095(a,1,2)),flip(a)]. 17302 L((x * K(y,z)) * u,K(y,z),x) = x * (K(y,z) * u). [para(4(a,1),17298(a,1,2,2)),flip(a)]. 17303 L(x,K(y,z),u) != u * (K(y,z) * w) | (u * K(y,z)) * w = x. [para(17302(a,1),45(a,1)),flip(a)]. 17304 L(x * y,K(z,u),x) = x * L(y,K(z,u),x). [hyper(58,a,17295,a(flip),b,17297,a)]. 17305 L(x * (K(y,z) * (x \ u)),K(z,y),x) = x * ((x * K(z,y)) \ u). [para(4303(a,1),17304(a,2,2))]. 17306 (x / y) * L(y,K(z,u),x) = L(x,K(u,z),y). [hyper(58,a,17299,a(flip),b,17301,a),flip(a)]. 17307 (a(x,y,y) / z) * L(z,K(u,w),a(x,y,y)) = a(L(x,K(w,u),z),y,y). [hyper(280,a,17015,a,b,17306,a),flip(a)]. 17308 ((K(x,y) \ z) / u) * L(u,K(y,x),K(x,y) \ z) = (u * K(x,y)) \ (u * z). [hyper(280,a,88,a(flip),b,17306,a),flip(a)]. 17309 (x * y) * L(L(y \ 1,y,x),K(z,u),x) = L(x,K(u,z),L(y \ 1,y,x)). [para(338(a,1),17306(a,1,1))]. 17310 (K(x,y) * ((z * T(x,y)) \ u)) \ u = T(L(z * x,K(x,y),u),u). [para(17300(a,1),375(a,1,1)),flip(a)]. 17311 (K(x,y) * ((z * T(x,y)) \ u)) \ u = L(T(z * x,u),K(x,y),u). [hyper(280,a,20,a,b,17310,a),flip(a)]. 17312 x \ ((y * T(z,u)) * (K(z,u) \ x)) = L(T(y * z,x),K(z,u),x). [hyper(58,a,370,a(flip),b,17311,a)]. 17313 x \ ((y * T(z,u)) * (K(u,z) * x)) = L(T(y * z,x),K(z,u),x). [para(4271(a,1),17312(a,1,2,2))]. 17314 (x * T(y,z)) * (K(z,y) * u) = u * L(T(x * y,u),K(y,z),u). [hyper(126,a,17313,a),flip(a)]. 17315 L(x * T(y * z,x),K(z,u),x) = (y * T(z,u)) * (K(u,z) * x). [hyper(280,a,17304,a,b,17314,a)]. 17316 L((x * y) * z,K(y,u),z) = (x * T(y,u)) * (K(u,y) * z). [para(101(a,1),17315(a,1,1))]. 17317 (T(x,y) * (K(y,x) * z)) \ T(L((u * x) * z,K(x,y),z),u) = L(u,T(x,y),K(y,x) * z). [para(17316(a,2),11371(a,2,2,1)),flip(a)]. 17318 x * (K(y,z) * (a(x,K(y,z),u) * u)) = (x * K(y,z)) * u. [para(17064(a,1),14263(a,1,2))]. 17320 x * (K(y,z) * (u * a(x,K(y,z),u))) = (x * K(y,z)) * u. [para(9727(a,1),17318(a,1,2,2))]. 17321 x * (K(y,z) * L(u,K(z,y),x)) = (x * K(y,z)) * u. [para(16151(a,1),17320(a,1,2,2))]. 17322 L(L(x,K(y,z),u),K(z,y),u) = x. [hyper(560,a,17321,a(flip))]. 17323 L(x * (K(y,z) * u),K(z,y),x) = (x * K(y,z)) * u. [hyper(17303,a,17322,a),flip(a)]. 17324 (x / L(y,K(z,u),w)) * L(L(y,K(z,u),w),K(u,z),w) = x * L(L(y,K(z,u),w) \ y,L(y,K(z,u),w),x). [para(17322(a,1),2412(a,1,2,1,2)),flip(a)]. 17325 L(L(x,K(y,z),u) \ x,L(x,K(y,z),u),w) = a(u,K(z,y),w \ (w / L(x,K(y,z),u))). [para(17322(a,1),17262(a,1,1,2))]. 17326 (x * K(y,z)) * (x \ u) = x * ((x * K(z,y)) \ u). [hyper(58,a,17305,a(flip),b,17323,a),flip(a)]. 17327 L((x * K(y,z)) * u,K(z,y),x) = (x * K(y,z)) * L(u,K(z,y),x). [para(17321(a,1),17323(a,1,1))]. 17328 x * ((x * K(y,T(z,x))) \ u) = (K(z,y) * x) * (x \ u). [para(3635(a,1),17326(a,1,1)),flip(a)]. 17329 (K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u). [para(3647(a,1),17328(a,1,2,1)),flip(a)]. 17330 (K(x,y) * (z * u)) / u = u * ((K(y,x) * u) \ z). [hyper(58,a,16517,a,b,17329,a)]. 17331 ((K(x,y) * z) / u) \ (u * ((K(y,x) * u) \ z)) = L(u,z,K(x,y)). [hyper(111,a,17330,a(flip),b,2206,a)]. 17333 L(T(x,y) \ L(T(x,y),y,z),x,y) = a(y \ (x * y),y,z). [para(219(a,1),17083(a,1,1,2))]. 17334 T(a(L(x,y,z),K(u,w),v5),v6) = L(a(x,K(w,u),v5),y,z) \ 1. [para(16766(a,1),17249(a,1,1))]. 17335 L(a(x,K(y,z),u),w,v5) \ 1 = a(u,K(y,z),L(x,w,v5)). [hyper(16160,a,17334,a),flip(a)]. 17336 a(x,K(y,z),L(u,w,v5)) \ 1 = a(u,K(y,z),L(x,w,v5)). [para(17244(a,2),17335(a,1,1))]. 17337 a(L(x,y,z),K(u,w),v5) = a(x,K(u,w),L(v5,y,z)). [hyper(16769,a,17336,a)]. 17338 a(x,K(y,z),u * ((w * u) \ 1)) = a(w,K(y,z),L(x,u,u \ 1)). [hyper(58,a,17214,a,b,17337,a)]. 17339 a(x,K(y,z),((u \ (w \ u)) \ 1) * (w \ u)) = a(u,K(z,y),L(x,w,w \ u)). [hyper(58,a,16165,a,b,17337,a)]. 17340 a(x,K(y,z),u * (w * (u \ 1))) = a(w,K(z,y),L(x,u,u \ 1)). [hyper(58,a,16164,a,b,17337,a)]. 17341 K(x,L(y,z \ u,a(w,z,v5))) = K(x,L(y,w,a(v5,z,z \ u))). [para(17163(a,1),17285(a,1,2,3)),flip(a)]. 17342 L((K(x * x,y) * z) * u,K(y,x * x),z) = (z * K(x * x,y)) * L(u,K(y,x * x),z). [para(11042(a,2),17327(a,1,1,1))]. 17344 ((x * y) / (K(z,u) * y)) \ (x * K(u,z)) = a(y,K(z,u),x * K(u,z)). [para(4271(a,1),17089(a,1,1,2))]. 17345 K(x,y * ((z \ y) \ u)) * K(x,K(z,u)) = K(x,u * L(z,y,y \ u)). [para(11082(a,1),17153(a,2,2,2))]. 17346 a(x,y,y) \ T((x * y) * (x * y),z) = x * (y * T(x * y,z * z)). [hyper(9722,a,17212,a)]. 17348 L(x,y,T(z,u \ z)) * a(K(x * x,z),u,y) = L(x,y,T(z,u)). [para(11420(a,1),17282(a,1,2,1))]. 17349 L(x,y,T(z,u \ z)) * a(x * x,u,K(y,z)) = L(x,y,T(z,u)). [para(10478(a,1),17348(a,1,2))]. 17350 (x \ a(y,z,z)) * L(x,K(u,w),a(y,z,z)) = a(L(y,K(w,u),x),z,z). [para(9719(a,1),17307(a,1,1))]. 17351 a(x * K(y,z),K(y,z),u) = a(x,K(y,z),u * K(z,y)). [hyper(58,a,16885,a(flip),b,17344,a)]. 17352 K(x,y * ((z \ y) \ u)) * K(x,K(z,u)) = K(x,(u / y) * (y * z)). [para(6683(a,1),17345(a,2,2))]. 17353 (a(x,y,y) * T((x * y) * (x * y),z)) * (T((x * y) * (x * y),z) \ (x * (y * T(x * y,z * z)))) = T((x * y) * (x * y),z). [para(17346(a,1),480(a,1,2,2))]. 17354 L(T(a(x,y,y) \ 1,T((x * y) * (x * y),z)),a(x,y,y),T((x * y) * (x * y),z)) = T((x * y) * (x * y),z) \ (x * (y * T(x * y,z * z))). [para(17346(a,1),1064(a,2,2))]. 17355 T(a(x,y,y) \ T((x * y) * (x * y),z),x * y) = L(T(x * y,z * z),y,x) * (x * y). [para(17346(a,2),923(a,1,1))]. 17356 a(x,y,y) \ L(T((x * y) * (x * y),z),a(x,y,y),x * (y * T(x * y,z * z))) = (a(x,y,y) \ 1) * T((x * y) * (x * y),z). [para(17346(a,1),8757(a,1,2,3))]. 17357 a(x,T(x,y * y),T(x,y * y)) \ T(T(x * x,y) * (x * T(x,y * y)),z) = x * (T(x,y * y) * T(x * T(x,y * y),z * z)). [para(11055(a,1),17346(a,1,2,1,1))]. 17358 x * (y * L(y \ 1,K(z,u),x)) = L(x,K(u,z),L(y \ 1,y,x)). [hyper(1176,a,17309,a)]. 17359 L(x,K(y,z),L(u \ 1,u,x)) = x * a(u,K(z,y),x \ 1). [hyper(58,a,17259,a(flip),b,17358,a),flip(a)]. 17360 L(x,K(y,z),L(u \ 1,u,x)) = L(x,K(y,z),u \ 1). [hyper(280,a,17260,a(flip),b,17359,a),flip(a)]. 17362 L(x,K(y,z),u \ 1) = L(x,K(y,z),x / u). [hyper(58,a,17293,a(flip),b,17360,a),flip(a)]. 17363 L(x,K(y,z),u \ 1) = L(x,K(y,z),u \ x). [hyper(280,a,15293,a(flip),b,17362,a),flip(a)]. 17364 L(x,K(y,z),u \ x) = L(x,K(z,y),u). [hyper(17263,a,17363,a),flip(a)]. 17366 L(x,K(y,z),u) \ ((x * K(z,y)) * (u \ x)) = K(z,y) * (u \ x). [para(17364(a,1),11076(a,1,1))]. 17367 L(x,K(y,z),u) \ (x * ((u * K(y,z)) \ x)) = K(z,y) * (u \ x). [para(4332(a,1),17366(a,1,2))]. 17368 x * (L(x,K(y,z),u) \ ((u * K(y,z)) \ x)) = K(z,y) * (u \ x). [hyper(58,a,1916,a(flip),b,17367,a)]. 17369 a(x * y,K(z,u),y) = a(x,K(z,u),y). [hyper(17029,a,17061,a)]. 17370 a(x,K(y,z),u * x) = a(u,K(z,y),x). [hyper(16153,a,17369,a)]. 17371 a(x,K(y,z),u * K(y,z)) = a(x,K(y,z),u). [hyper(58,a,17060,a(flip),b,17369,a),flip(a)]. 17372 a(x / y,K(z,u),y) = a(x,K(z,u),y). [para(7(a,1),17369(a,1,1)),flip(a)]. 17373 L(a(x,K(y,z),u) \ 1,a(x / u,K(y,z),K(z,y) * u),L(x,K(y,z),u)) = ((x / u) * K(y,z)) \ (((x / u) * (K(y,z) * (K(z,y) * u))) / (K(z,y) * u)). [para(17372(a,1),16886(a,1,1,1))]. 17374 a(x,K(y,z),u \ K(y,z)) = a(x,K(y,z),u \ 1). [para(10497(a,1),17371(a,1,3))]. 17375 a(x,K(y,z),u \ K(z,y)) = a(x,K(y,z),u \ 1). [para(10569(a,1),17371(a,1,3)),flip(a)]. 17376 a(x,K(y,z),u \ K(z,y)) = a(u,K(y,z),x). [hyper(280,a,17198,a(flip),b,17375,a),flip(a)]. 17378 a(x,y,z \ 1) * (L(u,y,K(z \ 1,x)) * z) = (u * a(x,y,z \ 1)) * z. [para(11747(a,2),17207(a,1,2,1))]. 17379 ((K(x,y) * z) / u) * L(u,K(x,y),K(y,x) \ z) = (u * K(y,x)) \ (u * z). [para(4271(a,1),17308(a,1,1,1))]. 17380 a(x,K(y,z),L(u,w,w \ x)) = a(u,K(z,y),w * (x * (w \ 1))). [para(16119(a,1),17339(a,1,3)),flip(a)]. 17381 a(x,y,z \ 1) * (L(u,y,K(x,z)) * z) = (u * a(x,y,z \ 1)) * z. [para(3571(a,1),17378(a,1,2,1,3))]. 17382 a(x,y,z \ 1) * L(u * z,y,K(x,z)) = (u * a(x,y,z \ 1)) * z. [para(13442(a,2),17381(a,1,2))]. 17383 (x * a(y,z,u \ 1)) * u = (x * u) * a(y,z,u \ 1). [hyper(58,a,11768,a(flip),b,17382,a),flip(a)]. 17384 (L(x \ 1,y,z) * x) * a(u,w,x \ 1) = L(x \ 1,y,z) * (a(u,w,x \ 1) * x). [hyper(11112,a,17383,a),flip(a)]. 17385 ((K(x,y) * z) / u) * L(u,K(x,y),K(x,y) * z) = (u * K(y,x)) \ (u * z). [para(4271(a,1),17379(a,1,2,3))]. 17386 ((K(x,y) * z) / u) * L(u,K(x,y),z) = (u * K(y,x)) \ (u * z). [para(17295(a,1),17385(a,1,2))]. 17387 (x * (T(K(y,z),x) * u)) / u = (u * K(z,y)) \ (u * x). [hyper(6757,a,17386,a)]. 17388 (x * K(y,z)) \ (x * u) = x \ ((x * K(z,y)) * u). [hyper(11374,a,17387,a),flip(a)]. 17389 T(x \ ((x * K(y,z)) * u),K(z,y)) = L(u * K(y,z),K(z,y),x). [para(17388(a,1),6490(a,1,1))]. 17390 L(x * K(y,z),K(z,y),u) = u / (K(z,y) * (x \ u)). [hyper(58,a,13853,a(flip),b,17389,a),flip(a)]. 17391 L((x / y) * K(z,u),K(u,z),x) = x / (K(u,z) * y). [para(70(a,1),17390(a,2,2,2))]. 17392 L((x / y) * K(z,u),K(u,z),y) = y / (K(u,z) * (y * (x \ y))). [para(468(a,1),17390(a,2,2,2))]. 17393 (K(x,y) * z) / (K(u,w) * (v5 \ (K(x,y) * z))) = z / (K(x,y) * (K(u,w) * (K(y,x) * (v5 \ z)))). [hyper(58,a,15034,a(flip),b,17391,a)]. 17394 x / (K(y,z) * (x * (u \ x))) = u / (K(y,z) * x). [hyper(58,a,11099,a(flip),b,17392,a),flip(a)]. 17395 (x * T(T(y,z) * u,y)) / T(K(y,z) * u,y) = u / (K(y,z) * (u * ((x * (T(y,z) * u)) \ u))). [hyper(280,a,6928,a,b,17394,a)]. 17396 L(x,a(y,z,z),a(y,z,z) \ x) = a(z,z,y) * (x * a(y,z,z)). [para(9718(a,1),17019(a,1,1))]. 17397 L(x,a(y,z,z),a(y,z,z) \ x) = L(x,a(z,z,y),a(y,z,z)). [hyper(280,a,17092,a(flip),b,17396,a),flip(a)]. 17398 L(T((x * y) * (x * y),z),a(x,y,y),x * (y * T(x * y,z * z))) = L(T((x * y) * (x * y),z),a(y,y,x),a(x,y,y)). [para(17346(a,1),17397(a,1,3))]. 17400 K(x,(y * (z \ 1)) * ((z * u) * (y \ 1))) = K(x,(y / (z / u)) * (z / y)). [hyper(280,a,17143,a(flip),b,17117,a),flip(a)]. 17401 K(x,(y * (z \ 1)) * ((z * u) / y)) = K(x,(y / (z / u)) * (z / y)). [hyper(58,a,17102,a(flip),b,17400,a)]. 17402 K(x,(y / (z / u)) * (z / y)) = K(x,(y / z) * ((z * u) / y)). [hyper(58,a,17143,a(flip),b,17401,a),flip(a)]. 17403 K(x,K(y,z * (u * w))) * K(y,x * ((z \ u) \ w)) = K(y,((z \ u) \ w) * x). [para(13603(a,1),17141(a,1,1))]. 17404 K(x,K(y,z * (u / w))) * K(y,x / ((w / u) / z)) = K(y,((w / u) / z) \ x). [para(5298(a,1),17150(a,1,1))]. 17405 K(x,y * (z \ (K(K(u,w),v5) * (v6 * K(v5,v7))))) = K(x,y * ((z \ K(v5,v7)) * v6)). [para(14769(a,1),17154(a,1,2,2,2))]. 17406 a(x \ L(y,z,u),x,y) * a(u,z,y \ 1) = x * ((y * x) \ L(y,z,u)). [para(17044(a,1),17273(a,1,1))]. 17407 a(x \ ((y * x) / z),x,y) = a(x \ (z \ (y * x)),x,y). [hyper(29,a,17040,a,b,17275,a)]. 17408 a(((x * y) * z) \ (y * x),x,y) = a(x \ (z \ (y * x)),x,y). [hyper(17074,a,17407,a)]. 17409 K(x,L(L(y,z,L(u \ (w \ (v5 * u)),u,v5)),u \ (w \ (v5 * u)),z)) = K(x,L(y,z,a(u \ ((v5 * u) / w),u,v5))). [para(17407(a,2),16751(a,2,2,3))]. 17410 a(x \ (y \ (z * x)),x,z) = a(z,x,x \ ((x * z) * y)). [hyper(58,a,15917,a(flip),b,17408,a),flip(a)]. 17411 a(x,y,y \ ((y * x) * z)) = a(x,y,z). [hyper(17217,a,17410,a),flip(a)]. 17412 a(x,y,y \ ((y * x) * z)) = a(x,y,y \ (z * (x * y))). [hyper(58,a,17048,a(flip),b,17410,a),flip(a)]. 17413 a(x,y,y \ (((y * x) \ z) * (x * y))) = a(x,y,y \ z). [para(5(a,1),17412(a,1,3,2)),flip(a)]. 17414 a(x,y,y \ T(z * K(x,y),y * x)) = a(x,y,y \ z). [para(5966(a,2),17413(a,1,3,2))]. 17415 a(x,y,y \ (x \ T(z * x,y))) = a(x,y,y \ z). [para(11008(a,1),17414(a,1,3,2))]. 17416 a(x,y,y \ T(z * x,y)) = a(x,y,y \ z). [hyper(58,a,15878,a(flip),b,17415,a)]. 17417 a(x,y,T(y \ (z * x),y)) = a(x,y,y \ z). [para(930(a,2),17416(a,1,3))]. 17418 a(x,y,y \ (z * x)) = a(x,y,y \ z). [hyper(58,a,16909,a(flip),b,17417,a)]. 17419 x * T(L((K(y,z) / x) * K(z,y),u,u \ 1),K(y,z) / x) = a(u \ 1,u,x * K(z,y)). [para(15018(a,2),17280(a,1,2,1))]. 17420 K(x,y * (z \ (K(u,K(w,v5)) * (v6 * K(v5,v7))))) = K(x,y * ((z \ K(v5,v7)) * v6)). [para(5254(a,1),17405(a,1,2,2,2,1))]. 17421 K(x,y * (z \ (u * K(w,v5)))) = K(x,y * ((z \ K(w,v5)) * u)). [para(6439(a,1),17420(a,1,2,2,2))]. 17422 K(x,y * (z \ (K(u,w) * v5))) = K(x,y * ((z \ K(u,w)) * v5)). [hyper(12573,a,17421,a)]. 17423 K(x,K(y,z * ((u \ K(w,v5)) * v6))) = K(x,K(y,v6 * (u * z))). [para(17422(a,1),14086(a,1,2))]. 17424 K(x,K(y,z * (u \ w))) = K(x,K(y,z * (u * w))). [hyper(15153,a,17423,a)]. 17425 K(x,K(y,(z * u) * w)) = K(x,K(y,u * (z * w))). [hyper(13406,a,17424,a)]. 17426 K(x,K(y,z * (u / w))) = K(x,K(y,z * (w * u))). [hyper(12718,a,17424,a)]. 17427 K(x,K(y,z * (u * w))) * K(y,(z * (u \ w)) \ x) = K(y,x / (z * (u \ w))). [para(17424(a,1),5899(a,1,1))]. 17428 K(x,K(y,z * (u * w))) * K(y,(z * (u \ w)) / x) = K(y,x \ (z * (u \ w))). [para(17424(a,1),5906(a,1,1))]. 17429 L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),K(w,v5))) = u * K(w,K(v5,x * (L(x,y,z) * u))). [para(17424(a,1),16014(a,2,2))]. 17431 K(x,K(y,z * (u * w))) * K(y,x / ((u * z) * w)) = K(y,((u * z) * w) \ x). [para(17425(a,1),5901(a,1,1))]. 17433 K(x,K(y,z * (u * w))) * K(y,x * (z * (w / u))) = K(y,(z * (w / u)) * x). [para(17426(a,1),6501(a,1,1))]. 17434 K(x,K(y,z * (u * w))) * K(y,x / ((u / w) / z)) = K(y,((u / w) / z) \ x). [para(17426(a,1),17404(a,1,1))]. 17435 K(x,((y / z) * u) \ a(y,z,z)) = K(x,u \ (z * (y \ 1))). [hyper(58,a,15718,a(flip),b,16982,a),flip(a)]. 17437 K(x,y \ (z * (u \ 1))) = K((u / z) * y,x). [hyper(58,a,16965,a(flip),b,17435,a),flip(a)]. 17439 K((((x \ 1) * y) / z) * u,w) = K(w,u \ (z * ((y \ 1) * x))). [para(528(a,1),17437(a,1,2,2,2)),flip(a)]. 17440 K(x,K(y,z * u)) * K((z / u) * x,y) = K(y,(u * (z \ 1)) / x). [para(17437(a,1),12867(a,1,2))]. 17441 K(x,(y * (z \ 1)) / u) = K(u * (z / y),x). [hyper(58,a,12492,a(flip),b,17440,a),flip(a)]. 17442 K(x,L(y / (z / (u \ 1)),u,(u \ 1) \ z)) = K(z * (u / y),x). [hyper(16368,a,17441,a)]. 17443 K(x * (((y \ 1) * z) / u),w) = K(w,(u * ((z \ 1) * y)) / x). [para(528(a,1),17441(a,1,2,1,2)),flip(a)]. 17444 x * (((K(y,z * z) * x) \ u) / L(x,K(z * z,y),u)) = (u / x) * K(z * z,y). [hyper(58,a,1149,a(flip),b,17294,a)]. 17445 L(x \ 1,y,z) * (a(u,w,x \ 1) * x) = a(z,y,x) * a(u,w,x \ 1). [para(17176(a,2),17384(a,1,1)),flip(a)]. 17446 L(x \ 1,y,z) * L(x,u,w) = a(z,y,x) * a(w,u,x \ 1). [para(17201(a,2),17445(a,1,2))]. 17447 a(x \ L(y,z,u),x,y) * a(u,z,y \ 1) = ((y \ 1) * x) * (x \ L(y,z,u)). [hyper(11102,a,17446,a),flip(a)]. 17450 ((x \ 1) * y) * (y \ L(x,z,u)) = y * ((x * y) \ L(x,z,u)). [hyper(58,a,17406,a(flip),b,17447,a),flip(a)]. 17451 (x \ L(x,y,z)) \ (u * ((x * u) \ L(x,y,z))) = a(x,u,u). [para(17450(a,1),16978(a,1,2))]. 17452 a(x \ L(y,z,u),x,y) = a(y,x,x). [hyper(58,a,17079,a(flip),b,17451,a)]. 17453 a(x,y,y) * a(z,u,x \ 1) = y * ((x * y) \ L(x,u,z)). [para(17452(a,1),17406(a,1,1))]. 17454 a(x,y,z \ 1) * a(z,u,u) = u * ((z * u) \ L(z,y,x)). [hyper(9723,a,17453,a)]. 17456 a(x,y,a(z,u,K(w,v5)) \ 1) * a(a(z,u,K(w,v5)),L(w,u,z) \ v6,L(w,u,z) \ v6) = (L(w,u,z) \ v6) * ((L(w,u,T(z,v5)) \ v6) \ L(a(z,u,K(w,v5)),y,x)). [para(15770(a,1),17454(a,2,2,1))]. 17457 (x * (y * L(z,y,x))) \ (x * (y * z)) = (L(z,y,x) * y) \ (((z * y) * x) / x). [para(11074(a,1),16933(a,1,2,1)),flip(a)]. 17458 (x * (y * L(z,y,x))) \ (x * (y * z)) = (L(z,y,x) * y) \ (z * y). [para(6(a,1),17457(a,2,2))]. 17459 a(x,y,L(z,y,x)) = (L(z,y,x) * y) \ (z * y). [hyper(1420,a,17458,a)]. 17461 a(x,y,z) = (L(z,y,x) * y) \ (z * y). [hyper(58,a,17245,a(flip),b,17459,a)]. 17463 x * (L(x,y,z) \ y) = y * a(z,y,x). [para(17461(a,2),15806(a,1,2)),flip(a)]. 17464 x \ (L(y,x,z) * (y \ x)) = (x * a(z,x,y)) \ x. [para(17463(a,1),370(a,1,1)),flip(a)]. 17465 x \ (L(y,x,z) * (y \ x)) = x \ (x / a(z,x,y)). [hyper(280,a,304,a(flip),b,17464,a),flip(a)]. 17466 x \ (L(y,x,z) * (y \ x)) = x \ (a(z,x,y) \ x). [para(9726(a,1),17465(a,2,2))]. 17467 (x \ y) \ ((y * K(z,u)) * (K(u,z) * (y \ (x \ y)))) = a(x,K(u,z),K(u,z) / y). [para(10566(a,1),17258(a,2,3))]. 17468 (x \ y) \ ((y * K(z,u)) * (K(u,z) * (y \ (x \ y)))) = a(x,K(u,z),y \ K(u,z)). [hyper(280,a,16177,a(flip),b,17467,a),flip(a)]. 17469 (x \ y) \ ((y * K(z,u)) * (K(u,z) * (y \ (x \ y)))) = a(x,K(u,z),y \ 1). [hyper(280,a,17374,a(flip),b,17468,a),flip(a)]. 17470 (x * L(y,y,x)) * L(y * x,y,x) = (x * (y * T(y,x))) * L((y \ 1) * (x * y),y,y). [para(17229(a,2),17270(a,1,2))]. 17471 L(a(x,K(y,z),u),L(u,K(y,z),x),w) = a(x,K(z,y),w \ (w / L(u,K(y,z),x))). [para(16763(a,1),17325(a,1,1))]. 17472 a(x,K(y,z),L(u,L(u,K(y,z),x),w)) = a(x,K(z,y),w \ (w / L(u,K(y,z),x))). [hyper(58,a,17244,a,b,17471,a)]. 17473 a(x,K(y,z),L(u,L(u,K(y,z),x),w)) = a(x,K(z,y),w \ (L(u,K(y,z),x) \ w)). [hyper(280,a,16178,a(flip),b,17472,a),flip(a)]. 17474 L(x * y,y,x) * L(y * x,y,x) = (x * (y * T(y,x))) * L((y \ 1) * (x * y),y,y). [para(15858(a,2),17470(a,1,1))]. 17475 L(x * y,y,x) * L(y * x,y,x) = (x * (y * T(y,x))) * T(x,y). [para(16991(a,2),17474(a,2,2))]. 17476 L(x * y,y,x) * L(y * x,y,x) = x * ((y * T(y,x)) * T(x,y)). [hyper(280,a,891,a(flip),b,17475,a),flip(a)]. 17477 L(x * y,y,x) * L(y * x,y,x) = x * ((y * y) * x). [para(4409(a,1),17476(a,2,2))]. 17478 L(T(x,y * y) * x,x,T(x,y * y)) * L(T(x * x,y),x,T(x,y * y)) = T(x,y * y) * ((x * x) * T(x,y * y)). [para(11055(a,1),17477(a,1,2,1))]. 17479 K(x,y) * (z * a(K(x,y) * z,u,u)) = L(K(x,y) * z,u,u). [para(15716(a,1),17000(a,1,1))]. 17481 x * (a(x,y,y) * T(a(x,y,y) \ (x \ z),u)) = L(x,y,y) * T(L(x,y,y) \ z,u). [para(16998(a,1),17001(a,2,2,1,1))]. 17482 x * T(a(x,y,y) * (a(x,y,y) \ (x \ z)),u) = L(x,y,y) * T(L(x,y,y) \ z,u). [para(11153(a,2),17481(a,1,2))]. 17483 L(x,y,y) * T(L(x,y,y) \ z,u) = x * T(x \ z,u). [para(5(a,1),17482(a,1,2,1)),flip(a)]. 17485 K(x,K(y,z * (u * w))) * K(y,(z * ((u \ 1) * w)) \ x) = K(y,x / (z * ((u \ 1) * w))). [para(17424(a,1),17110(a,1,1))]. 17486 K(x,K(y,z * (u * w))) * K(y,(z * ((u \ 1) * w)) / x) = K(y,x \ (z * ((u \ 1) * w))). [para(17424(a,1),17111(a,1,1))]. 17487 a(x,y,K(z,u * (w \ v5))) * K(z,u * (w \ v5)) = K(z,L(u * ((w \ 1) * v5),x,y)). [para(17113(a,1),17114(a,1,1))]. 17488 K(x,L(y * ((z \ 1) * u),w,v5)) = K(x,L(y * (z \ u),w,v5)). [hyper(14487,a,17487,a),flip(a)]. 17489 K(x,L(y / ((z \ 1) * u),w,v5)) = K(x,L(y * (u \ z),w,v5)). [hyper(10999,a,17488,a)]. 17490 K(x,L(y * (z \ (u \ 1)),w,v5)) = K(x,L(y / (u * z),w,v5)). [para(378(a,1),17489(a,1,2,1,2,1)),flip(a)]. 17491 L(x,T(y,z),K(z,y) * u) = (y * u) \ T(L((x * y) * u,K(y,z),u),x). [para(4293(a,1),17317(a,1,1)),flip(a)]. 17492 L(x,T(y,z),K(z,y) * u) = (y * u) \ L(T((x * y) * u,x),K(y,z),u). [para(20(a,2),17491(a,2,2))]. 17494 L(x,T(y,z),K(z,y) * u) = L((x * y) * u,K(y,z),u) / (y * u). [hyper(280,a,11390,a(flip),b,17492,a),flip(a)]. 17495 L((x * y) * z,K(y,u),z) / (y * z) = L(x,T(y,u),z). [hyper(58,a,15357,a(flip),b,17494,a),flip(a)]. 17496 L((K(x * x,y) * z) * u,K(y,x * x),z) = L((z * K(x * x,y)) * u,K(y,x * x),z). [hyper(280,a,17327,a,b,17342,a),flip(a)]. 17497 T(a(x,y,y) \ T((x * y) * (x * y),z),x * y) = (x * y) * L(T(x * y,z * z),y,x). [hyper(280,a,257,a(flip),b,17355,a),flip(a)]. 17498 x * T(L(T(x \ 1,K(y,z)),u,u \ 1),K(y,z) / x) = a(u \ 1,u,x * K(z,y)). [para(10568(a,1),17419(a,1,2,1,1))]. 17499 x * T(T(y * ((x * y) \ 1),K(z,u)),K(z,u) / x) = a(y \ 1,y,x * K(u,z)). [para(7046(a,1),17498(a,1,2,1))]. 17500 x * T(T(y * ((x * y) \ 1),K(z,u)),K(z,u)) = a(y \ 1,y,x * K(u,z)). [para(16581(a,1),17499(a,1,2))]. 17501 a(x \ 1,x,y * K(z,u)) = y * (x * ((y * x) \ 1)). [para(5359(a,1),17500(a,1,2)),flip(a)]. 17502 a(x \ 1,x,y * K(z,u)) = a(y,x,x). [hyper(280,a,16979,a(flip),b,17501,a),flip(a)]. 17504 a(x * K(y,z),u,u) = a(x,u,u). [hyper(17023,a,17502,a)]. 17505 a(K(x,y) * z,u,u) = a(z,u,u). [hyper(14165,a,17504,a)]. 17506 K(x,y) * (z * a(z,u,u)) = L(K(x,y) * z,u,u). [para(17505(a,1),17479(a,1,2,2))]. 17507 L(K(x,y) * z,u,u) = K(x,y) * L(z,u,u). [para(16998(a,1),17506(a,1,2)),flip(a)]. 17509 x * L(K(y,z) * (K(y,z) \ (x \ 1)),u,u) = a(u,u,x * K(y,z)). [para(17507(a,2),17181(a,1,2))]. 17510 a(x,x,y * K(z,u)) = y * L(y \ 1,x,x). [para(5(a,1),17509(a,1,2,1)),flip(a)]. 17511 a(x,x,y * K(z,u)) = a(x,x,y). [hyper(280,a,17172,a,b,17510,a),flip(a)]. 17513 a(x,x,T(y,z) * u) = a(x,x,y * u). [para(3410(a,1),17511(a,1,3))]. 17514 L(x,x,y * T(T(z,u),w)) = (x \ 1) \ a(x,x,T(z,w) * y). [para(17513(a,1),15873(a,1,2)),flip(a)]. 17515 L(x,x,y * T(T(z,u),w)) = (x \ 1) \ a(x,x,z * y). [para(17513(a,1),17514(a,2,2))]. 17517 L(x,x,y * T(T(z,u),w)) = L(x,x,z * y). [hyper(280,a,15870,a(flip),b,17515,a),flip(a)]. 17521 L(x \ 1,x,T(T(y,z),u) * w) = L(x,x,y * w) \ 1. [para(17517(a,1),15914(a,2,1))]. 17522 L(x \ 1,x,T(T(y,z),u) * w) = L(x \ 1,x,y * w). [hyper(280,a,15911,a,b,17521,a),flip(a)]. 17524 L(x \ 1,x,T(y,z) * (y \ z)) = L(x \ 1,x,K(y,u) * (z * K(y,w))). [hyper(58,a,15649,a(flip),b,17522,a),flip(a)]. 17526 L(x \ 1,x,T(y,z \ y)) = L(x \ 1,x,K(z,u) * (y * K(z,w))). [para(922(a,1),17524(a,1,3))]. 17527 L(x \ 1,x,K(y,z) * (u * K(y,w))) = L(x \ 1,x,u). [hyper(58,a,10702,a(flip),b,17526,a),flip(a)]. 17529 L(x \ 1,x,K(y,z) * u) = L(x \ 1,x,u). [hyper(58,a,16483,a(flip),b,17527,a)]. 17533 L(T(x \ 1,y),T(x,y),K(z,u) * w) = L(T(x,y) \ 1,T(x,y),w). [para(3611(a,2),17529(a,1,1))]. 17534 L(T(x \ 1,y),x,K(z,u) * w) = L(T(x,y) \ 1,T(x,y),w). [hyper(58,a,6464,a(flip),b,17533,a)]. 17536 L(T(x \ 1,y),T(x,y),z) = L(T(x \ 1,y),x,K(u,w) * z). [para(3611(a,2),17534(a,2,1)),flip(a)]. 17537 L(T(x \ 1,y),x,K(z,u) * w) = L(T(x \ 1,y),x,w). [hyper(58,a,6464,a(flip),b,17536,a),flip(a)]. 17539 (K(x,y) * (z * u)) \ (u \ (K(x,y) * (z * u))) = L(T(u \ 1,K(x,y) * z),u,z). [hyper(58,a,12063,a,b,17537,a)]. 17540 L(T(x \ 1,K(y,z) * (K(z,L(y,u,w)) * v5)),x,K(z,L(y,u,w)) * v5) = (v5 * a(z,w,K(y,u))) \ (x \ (K(y,z) * (K(z,L(y,u,w)) * v5))). [hyper(58,a,14748,a(flip),b,17539,a),flip(a)]. 17541 L(K(x * x,y) * (K(y,x * x) \ 1),K(y,x * x),K(y,x * x) \ 1) * L(K(y,x * x) * (((K(x * x,y) * (K(y,x * x) \ 1)) * K(y,x * x)) \ 1),z,u) = L(((K(y,x * x) \ 1) * K(x * x,y)) * L((K(x * x,y) * (K(y,x * x) \ 1)) \ 1,z,u),K(y,x * x),K(y,x * x) \ 1). [hyper(58,a,8182,a,b,17496,a)]. 17542 T(a(x,y,y) \ T((x * y) * (x * y),z),x * y) = x * (y * T(x * y,z * z)). [hyper(280,a,86,a(flip),b,17497,a),flip(a)]. 17543 T(x,(y \ ((z * u) \ 1)) * a(u,u,z)) = T(x,y \ L((z * u) \ 1,u,u)). [para(15927(a,1),17009(a,1,2,2))]. 17544 T(x,(y \ ((z * u) \ 1)) * a(u,u,z)) = T(x,y \ (u \ (z \ 1))). [para(16996(a,1),17543(a,2,2,2))]. 17545 T(x,y \ ((z * u) \ 1)) = T(x,y \ (u \ (z \ 1))). [hyper(11360,a,17544,a)]. 17546 T(T(x,((y \ ((z * u) \ 1)) * a(u,u,z)) \ 1),y \ (u \ (z \ 1))) = x. [hyper(3762,a,17544,a)]. 17547 K(x,(y \ ((z * u) \ 1)) * a(u,u,z)) = x \ T(x,y \ (u \ (z \ 1))). [hyper(111,a,17544,a(flip),b,2882,a(flip)),flip(a)]. 17548 ((x * y) * R(z,x,y)) * (u / ((z * x) * y)) = T(K(x * y,z) * u,y \ (x \ (z \ 1))). [hyper(58,a,11716,a,b,17545,a)]. 17549 T(T(x,a(y,z,z) * ((u \ ((y * z) \ 1)) \ 1)),u \ (z \ (y \ 1))) = x. [para(16975(a,1),17546(a,1,1,2))]. 17550 K(x,(y \ ((z * u) \ 1)) * a(u,u,z)) = K(x,y \ (u \ (z \ 1))). [hyper(280,a,2890,a,b,17547,a),flip(a)]. 17552 K(x,y \ ((z * u) \ 1)) = K(x,y \ (u \ (z \ 1))). [hyper(58,a,17097,a(flip),b,17550,a)]. 17553 K(x,y \ (z \ (u \ 1))) = K((u * z) * y,x). [hyper(10706,a,17552,a),flip(a)]. 17555 K(x,K((y * z) * u,w)) * K(w,x * (u \ (z \ (y \ 1)))) = K(w,(u \ (z \ (y \ 1))) * x). [para(17553(a,1),6501(a,1,1,2))]. 17556 T(T(x,a(y,z,z) * ((y * z) / (u \ 1))),u \ (z \ (y \ 1))) = x. [para(529(a,1),17549(a,1,1,2,2))]. 17557 T(T(x,y \ (z \ (u \ 1))),a(u,z,z) * ((u * z) / (y \ 1))) = x. [hyper(3162,a,17556,a)]. 17558 T(T(x,y \ (z \ (u \ 1))),(u * z) / (y \ 1)) = x. [hyper(16966,a,17557,a)]. 17559 T(T(x,(y * z) * u),u \ (z \ (y \ 1))) = x. [hyper(10728,a,17558,a),flip(a)]. 17560 ((x * y) * L(z,x,y)) * (u / ((z * x) * y)) = T(K(x * y,z) * u,y \ (x \ (z \ 1))). [para(11082(a,1),17548(a,1,1,2))]. 17561 T(K(x * y,z) * u,y \ (x \ (z \ 1))) = (y * (T(x,y) * z)) * (u / ((z * x) * y)). [para(6704(a,1),17560(a,1,1)),flip(a)]. 17562 T((x * T(y,K(z,u))) * K(z,T(u,T(y,K(z,u)))),x) * (w / ((x * y) * K(z,u))) = T(K(y * K(z,u),x) * w,K(z,u) \ (y \ (x \ 1))). [para(11225(a,2),17561(a,2,1)),flip(a)]. 17563 K(x,K(y,(z * u) * w)) * K(y,x * (w \ (u \ (z \ 1)))) = K(y,(w \ (u \ (z \ 1))) * x). [para(5298(a,1),17555(a,1,1))]. 17564 K(x,K(y,z * (u * w))) * K(y,x * (w \ (z \ (u \ 1)))) = K(y,(w \ (z \ (u \ 1))) * x). [para(17425(a,1),17563(a,1,1))]. 17565 L(x,y,z) * (x * T(x \ (L(x,y,z) \ u),K(w,v5))) = u * K(w,K(v5,x * (L(x,y,z) * u))). [para(12469(a,1),17429(a,1,2))]. 17566 x * K(y,K(z,u * (L(u,w,v5) * x))) = u * (L(u,w,v5) * T(u \ (L(u,w,v5) \ x),K(y,z))). [hyper(1932,a,17565,a),flip(a)]. 17567 T(L(x,y,z) * (L(x,y,z) \ u),K(w,v5)) = u * K(w,K(v5,x * (L(x,y,z) * u))). [hyper(280,a,14423,a(flip),b,17566,a)]. 17568 x * K(y,K(z,u * (L(u,w,v5) * x))) = T(x,K(y,z)). [para(5(a,1),17567(a,1,1)),flip(a)]. 17569 T((L(x,y,z) \ x) * u,K(w,v5)) = (L(x,y,z) \ x) * T(u,K(w,v5)). [para(17568(a,1),13605(a,1,2)),flip(a)]. 17570 x * T((L(y,z,u) \ y) * ((L(y,z,u) \ y) \ (x \ K(w,v5))),K(w,v5)) = T(K(w,v5),x * (L(y,z,u) \ y)). [para(17569(a,2),1903(a,1,2))]. 17571 T((1 \ x) * x,y) * T(x * T(x,y * y),z) = x * (T(x,y * y) * T(x * T(x,y * y),z)). [para(1068(a,1),17013(a,1,1,1))]. 17572 a(x,y,y) * (y \ T(a(x,y,y) \ (y * z),u)) = (x \ (x / y)) * T((y \ a(x,y,y)) \ z,u). [para(16963(a,1),17069(a,1,1)),flip(a)]. 17573 (x \ (x / y)) * T((y \ a(x,y,y)) \ z,u) = y \ T(y * z,u). [hyper(58,a,17071,a(flip),b,17572,a),flip(a)]. 17575 (x \ (x / y)) * T(L(y \ 1,y,x) \ z,u) = y \ T(y * z,u). [para(16964(a,2),17573(a,1,2,1,1))]. 17576 K(x,(y * L(z \ 1,z,u)) \ w) = (y * (z \ T(z * (y \ w),x))) \ w. [para(17575(a,1),4937(a,1,1,2)),flip(a)]. 17577 K(x,(y * L(z \ 1,z,u)) \ w) = K(x,(z / y) * w). [hyper(280,a,17145,a(flip),b,17576,a),flip(a)]. 17579 K(x,(y * (z / u)) \ w) = K(x,((u / z) / y) * w). [para(990(a,1),17577(a,1,2,1,2))]. 17580 (K(x,y) * z) / (K(u,w) * (v5 \ (K(x,y) * z))) = z / (K(u,w) * (v5 \ z)). [para(14033(a,1),17393(a,2,2))]. 17583 L(x,K(y,z),K(u,w) * v5) = (v5 / (K(y,z) * (x \ v5))) * K(y,z). [para(17580(a,1),16189(a,1,1)),flip(a)]. 17584 L(x,K(y,z),K(u,w) * v5) = L(x,K(y,z),v5). [hyper(280,a,16189,a(flip),b,17583,a),flip(a)]. 17590 ((x / (K(y,z) * u)) * K(w,v5)) * (K(v5,w) * (K(y,z) * u)) = L(x,K(w,v5),u). [hyper(58,a,16776,a,b,17584,a)]. 17594 ((x / (K(y,z) * u)) * K(z,y)) * (K(y * y,z) * u) = L(x,K(z,y),u). [para(11422(a,1),17590(a,1,2))]. 17595 (R(x,K(y,z),K(y,z) \ u) * K(z,y)) * (K(y * y,z) * ((x * K(y,z)) \ u)) = L(u,K(z,y),(x * K(y,z)) \ u). [para(828(a,1),17594(a,1,1,1))]. 17596 (x * T(T(y,z) * u,y)) / T(K(y,z) * u,y) = u / (u * ((x * (y * u)) \ u)). [para(6609(a,1),17395(a,2,2))]. 17597 (x * T(T(y,z) * u,y)) / T(K(y,z) * u,y) = (x * (y * u)) / u. [hyper(280,a,460,a(flip),b,17596,a),flip(a)]. 17599 (x * (T(y,z) * u)) / (K(y,z) * u) = (x * (y * u)) / u. [hyper(58,a,6928,a(flip),b,17597,a)]. 17601 a(K(x,y) * z,x,u) = ((u * (x * z)) / z) / (u * x). [para(17599(a,1),16931(a,1,1)),flip(a)]. 17602 a(K(x,y) * z,x,u) = a(z,x,u). [hyper(280,a,16930,a,b,17601,a),flip(a)]. 17604 a(x * K(y,z),y,u) = a(x,y,u). [hyper(58,a,14409,a(flip),b,17602,a)]. 17605 a(T(x,y),x,z) = a(x,x,z). [para(2888(a,2),17602(a,1,1))]. 17607 a(T(x,y),x,z) = a(x,x,x \ z). [hyper(280,a,13894,a,b,17605,a),flip(a)]. 17608 a(T(x,y),x,z) = (x * z) \ ((x * x) * (x \ z)). [hyper(280,a,75,a,b,17607,a),flip(a)]. 17609 T(x,y) \ ((x * T(x,y)) * z) = (x * x) * (x \ z). [hyper(17271,a,17608,a)]. 17610 (x * x) * (x \ (y \ T(x,z))) = (y * (x \ 1)) \ T(x,z). [hyper(58,a,2619,a(flip),b,17609,a),flip(a)]. 17613 x * (T(x,y * y) * T(x * T(x,y * y),z)) = T(x * x,y) * T(x * T(x,y * y),z). [para(60(a,1),17571(a,1,1,1,1)),flip(a)]. 17614 x * (T(x,y * y) * T(x * T(x,y * y),z)) = T(x * x,y) * T(T(x * x,y),z). [para(11055(a,1),17613(a,2,2,1))]. 17615 x * (T(x,y * y) * T(x * T(x,y * y),z)) = T((x * x) * T(x * x,z),y). [hyper(280,a,11152,a(flip),b,17614,a),flip(a)]. 17616 x * (T(x,y * y) * T(x * T(x,y * y),z)) = T(x * (x * T(x * x,z)),y). [para(10890(a,1),17615(a,2,1))]. 17617 x * (T(x,y * y) * T(T(x * x,y),z)) = T(x * (x * T(x * x,z)),y). [para(11055(a,1),17616(a,1,2,2,1))]. 17618 x * (x * T(T(x * x,y * y),z)) = T(x * (x * T(x * x,z)),y). [para(15459(a,1),17617(a,1,2))]. 17619 L(a(x,x,y),a(y,x,y * x),(y * x) * (y * x)) = (y * x) \ ((y * (x * (y * x))) / (y * x)). [para(17018(a,1),17170(a,1,1))]. 17620 L(a(x,x,y),a(y,x,x),(y * x) * (y * x)) = (y * x) \ ((y * (x * (y * x))) / (y * x)). [para(17169(a,1),17619(a,1,2))]. 17621 a(x,x,L(y,a(y,x,x),(y * x) * (y * x))) = (y * x) \ ((y * (x * (y * x))) / (y * x)). [hyper(58,a,17244,a,b,17620,a)]. 17622 a(x,x,L(y,a(y,x,x),(y * x) * (y * x))) = (y * x) \ L(y * x,x,y). [para(550(a,1),17621(a,2,2))]. 17623 a(x,x,L(y,a(y,x,x),(y * x) * (y * x))) != z | a(x,x,y) = z. [para(17622(a,2),15853(a,1))]. 17624 x * (x * T(x * x,y * ((z * z) * y))) = T(x * (x * (x * x)),y * L(z,z,y)). [para(17477(a,1),17231(a,1,2,2,2))]. 17625 x * (x * T(x * x,y * ((z * z) * y))) = T(x * (x * (x * x)),L(y * z,z,y)). [para(15858(a,2),17624(a,2,2))]. 17626 x * (x * T(x * x,y * ((z * z) * y))) = T(x * (x * (x * x)),y * z). [hyper(280,a,14585,a(flip),b,17625,a),flip(a)]. 17627 x * (x * T(x * x,y * ((z * z) * y))) != u | T(x * (x * (x * x)),y * z) = u. [para(17625(a,2),14586(a,1))]. 17628 T(x,y) * T(T(T(x,y) * T(x,y),((z * z) * x) * x) * T(x,y),T(x,y) * T(x,y)) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z). [para(14360(a,2),17626(a,1,2))]. 17629 (x \ 1) * (L(y,x,x) * T(L(y,x,x) \ ((x \ 1) \ z),u)) = (x \ y) * T((x \ y) \ z,u). [para(16997(a,1),17006(a,1,2,2,1,2,1))]. 17631 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ y) * T((x \ y) \ z,u). [para(17483(a,1),17629(a,1,2))]. 17632 (x * ((y \ z) * T((y \ z) \ (x \ u),w))) \ u = K(w,(x * ((y \ 1) * z)) \ u). [para(17631(a,1),4939(a,1,1,2))]. 17634 K(x,(y * ((z \ 1) * u)) \ w) = K(x,(y * (z \ u)) \ w). [hyper(4736,a,17632,a),flip(a)]. 17635 K(x,K(y,z * (u * w))) * K(y,(z * (u \ w)) \ x) = K(y,x / (z * ((u \ 1) * w))). [para(17634(a,1),17485(a,1,2))]. 17636 K(x,y / (z * ((u \ 1) * w))) = K(x,y / (z * (u \ w))). [hyper(58,a,17427,a(flip),b,17635,a),flip(a)]. 17637 K(x / (y / ((z \ 1) * u)),L(w,u \ z,y)) = K(w,y / (x * (z \ u))). [hyper(58,a,14914,a,b,17636,a)]. 17638 K(x,y * (((z \ 1) * u) / w)) = K(x,y / (w * (u \ z))). [hyper(58,a,17124,a(flip),b,17636,a)]. 17639 K(x \ a(y,z,K(u,w)),v5 / (v6 * (v7 \ v8))) = K(v5 * (((v8 \ 1) * v7) / v6),x). [hyper(58,a,13628,a(flip),b,17638,a),flip(a)]. 17640 K(x,y / (z * (u \ (w \ 1)))) = K(x,y * ((w * u) / z)). [para(378(a,1),17638(a,1,2,2,1,1)),flip(a)]. 17641 K(x,y / (T(z,(u \ 1) * w) * (w \ u))) = K(x,y * (z \ ((u \ 1) * w))). [para(428(a,1),17638(a,1,2,2)),flip(a)]. 17642 K(x,y / ((z \ 1) * (u \ (w \ 1)))) = K(x,y * ((w * u) * z)). [hyper(280,a,17119,a(flip),b,17640,a),flip(a)]. 17643 K(x,y * ((z / (u \ 1)) / w)) = K(x,y * ((z * u) / w)). [hyper(58,a,17118,a(flip),b,17640,a)]. 17644 K(x,y * ((z * (u \ 1)) / w)) = K(x,y * ((z / u) / w)). [para(378(a,1),17643(a,1,2,2,1,2)),flip(a)]. 17645 K(x,y / (z * (u * (w \ 1)))) = K(x,y * ((w / u) / z)). [hyper(58,a,17123,a,b,17644,a)]. 17646 K(x \ 1,L(T(y,z * u),u,z)) = K(y,(z * u) * ((x / u) / z)). [hyper(9589,a,17645,a)]. 17647 K(x,y * ((z \ (u \ 1)) \ w)) = K(x,y * ((u * z) * w)). [hyper(58,a,17107,a(flip),b,17642,a)]. 17648 K((x * y) \ 1,L(T(z,u * y),y,u)) = K(z,(u * y) * (x / u)). [para(6(a,1),17646(a,2,2,2,1))]. 17649 K(T(x,y * z),L(u * z,z,y)) = K(x,(y * z) * (u / y)). [hyper(9547,a,17648,a)]. 17650 K(x,T(L(y * z,z,u),u * z)) = K(x,(u * z) * (y / u)). [hyper(4739,a,17649,a)]. 17651 K(x,L(T(y * z,u * z),z,u)) = K(x,(u * z) * (y / u)). [para(20(a,2),17650(a,1,2))]. 17652 K(x * (((y \ 1) * z) / u),L(w,z \ y,u)) = K(w,u / (x * (y \ z))). [hyper(58,a,17148,a(flip),b,17637,a)]. 17653 K(x,y / (T(z,u \ w) * (w \ u))) = K(x,y * (z \ ((u \ 1) * w))). [para(10723(a,1),17641(a,1,2,2,1))]. 17654 K(x,y * (z \ ((u \ 1) * w))) = K(x,y / ((w \ u) * z)). [para(3749(a,1),17653(a,1,2,2)),flip(a)]. 17655 K(x,y / ((z \ u) * w)) != v5 | K(x,y / (((z \ 1) * u) * w)) = v5. [para(17654(a,1),17112(a,1))]. 17656 K(x * (((y \ 1) * z) / u),w) = K(w,(u * (z \ y)) / x). [hyper(13632,a,17639,a),flip(a)]. 17658 K(L(x,y \ z,u),(u * (y \ z)) / w) = K(x,u / (w * (z \ y))). [hyper(58,a,17652,a(flip),b,17656,a),flip(a)]. 17659 K(x,(y * ((z \ 1) * u)) / w) = K(x,(y * (z \ u)) / w). [hyper(58,a,17443,a(flip),b,17656,a)]. 17660 K(x,K(y,z * (u * w))) * K(y,(z * (u \ w)) / x) = K(y,x \ (z * ((u \ 1) * w))). [para(17659(a,1),17486(a,1,2))]. 17661 K(x,L((y * (z \ u)) / w,z \ u,y)) = K(x,y / (w * (u \ z))). [hyper(9517,a,17658,a)]. 17662 K(x,y \ (z * ((u \ 1) * w))) = K(x,y \ (z * (u \ w))). [hyper(58,a,17428,a(flip),b,17660,a),flip(a)]. 17663 K((((x \ 1) * y) / z) * u,w) = K(w,u \ (z * (y \ x))). [hyper(58,a,17439,a,b,17662,a)]. 17664 T(K(x,y),z * (L(u,w,v5) \ u)) = z * T(z \ K(x,y),K(x,y)). [para(5(a,1),17570(a,1,2,1)),flip(a)]. 17666 T(K(x,y),z * (L(u,w,v5) \ u)) = z * (K(x,y) / z). [para(5375(a,1),17664(a,2,2))]. 17667 T(K(x,y),z * (L(u,w,v5) \ u)) = K(x,T(y,z)). [hyper(280,a,5431,a(flip),b,17666,a),flip(a)]. 17668 K(x,T(y,z * (L(u,w,v5) \ u))) = K(x,T(y,z)). [hyper(4737,a,17667,a)]. 17669 K(x,T(y,(L(z,u,w) \ z) * v5)) = K(x,T(y,v5)). [hyper(12256,a,17668,a)]. 17670 K(x,T(y,z * (L(z,u,w) * v5))) = K(x,T(y,v5)). [hyper(58,a,13441,a(flip),b,17669,a)]. 17671 K(x,T(y,L(z,u,w) * (z \ v5))) = K(x,T(y,v5)). [hyper(58,a,12132,a,b,17670,a)]. 17673 K(x,T(y,L(z,u,w) * T(v5,z))) = K(x,T(y,v5 * z)). [para(17(a,2),17671(a,1,2,2,2))]. 17674 K(x,T(y,L(z,u,w) * v5)) = K(x,T(y,v5 * z)). [hyper(58,a,12584,a(flip),b,17673,a)]. 17675 K(x,L(T(y,L(z,u,w) * v5),v6,v7)) = K(L(x,v6,v7),T(y,v5 * z)). [hyper(9517,a,17674,a)]. 17677 K(x,L(T(y,L(z,u,w) * v5),v6,v7)) = K(x,L(T(y,v5 * z),v6,v7)). [hyper(280,a,9511,a(flip),b,17675,a),flip(a)]. 17678 K(x,L(T(y,z * L(u,w,v5)),v6,v7)) = K(x,L(T(y,z * u),v6,v7)). [hyper(12751,a,17677,a)]. 17679 K(x,L(T(T(y,z),u * z),z,L(u,w,v5))) = K(x,(u * L(z,w,v5)) / (u * (y \ L(z,w,v5)))). [hyper(14885,a,17678,a),flip(a)]. 17680 K(L(x,y,z) \ ((x * u) \ L(x,y,z)),L(T(w,v5 * x),x,L(v5,y,z))) = K(w,(v5 * (x * (u * L(x,y,z)))) / (v5 * L(x,y,z))). [hyper(58,a,14882,a(flip),b,17678,a),flip(a)]. 17681 K(x \ (L(x,y,K(z,u)) / w),L(T(v5,w * x),v6,v7)) = K((w * L(x,y,K(u,z))) \ x,L(v5,v6,v7)). [hyper(58,a,13679,a(flip),b,17678,a),flip(a)]. 17682 K(x,L(T(y,(z * u) * w),v5,v6)) = K(x,L(T(y,z * (u * w)),v5,v6)). [para(86(a,1),17678(a,1,2,1,2)),flip(a)]. 17683 K(x,L(T(y,(z / u) / w),v5,v6)) = K(x,L(T(y,w * (u * z)),v5,v6)). [hyper(13861,a,17682,a)]. 17684 K(x,L(T(y,z * (u / w)),v5,v6)) = K(x,L(T(y,z * (w * u)),v5,v6)). [hyper(58,a,12408,a(flip),b,17683,a)]. 17685 K(x,L(T(y,z * (u \ w)),v5,v6)) = K(x,L(T(y,z * (u * w)),v5,v6)). [hyper(12753,a,17684,a)]. 17686 K(x,L(T(y,(T(z,u) * w) \ z),v5,v6)) = K(x,L(T(y,z * (w * T(z,u))),v5,v6)). [hyper(58,a,12795,a,b,17684,a)]. 17687 K(x \ T(y,z),L(T(u,y * (w * T(y,z))),w,y)) = K(u,((w \ y) * x) / ((w \ y) * T(y,z))). [hyper(58,a,15478,a(flip),b,17684,a),flip(a)]. 17688 K(x \ (y \ L(z,u,K(w,v5))),L(T(v6,v7 * (y * z)),y \ z,v7)) = K(v6,(v7 * x) / (v7 * (y \ L(z,u,K(w,v5))))). [hyper(58,a,16401,a(flip),b,17685,a),flip(a)]. 17689 K(x,L(T(y,z * (u * T(z,w))),v5,v6)) = K(x,L(T(y,u \ K(w,z)),v5,v6)). [para(12728(a,1),17686(a,1,2,1)),flip(a)]. 17690 K(x,L(T(y,z * (u * T(z,w))),v5,v6)) != v7 | K(x,L(T(y,u),v5,v6)) = v7. [para(17689(a,2),12756(a,1))]. 17691 K(x,L(T(y,z * (z * u)),w,v5)) != v6 | K(x,L(T(y,u),w,v5)) = v6. [para(101(a,1),17690(a,1,2,1,2,2))]. 17695 K(T(x,y * z),L(y,u,w)) = K((y * L(z,v5,K(v6,v7))) \ z,L(x,u,w)). [hyper(13677,a,17681,a)]. 17697 K((x * L(y,z,K(u,w))) \ y,L(v5,v6,v7)) = K(v5,T(L(x,v6,v7),x * y)). [hyper(4739,a,17695,a),flip(a)]. 17698 K((x * L(y,z,K(u,w))) \ y,L(v5,v6,v7)) = K(v5,L(T(x,x * y),v6,v7)). [para(20(a,2),17697(a,2,2))]. 17699 K((x * L(y,z,K(u,w))) \ y,L(v5,v6,v7)) = K(v5,L(T(x,y),v6,v7)). [hyper(280,a,6426,a(flip),b,17698,a),flip(a)]. 17700 K(x \ (y \ L(x,z,K(u,w))),L(v5,v6,v7)) = K(v5,L(T(y,x),v6,v7)). [para(13572(a,1),17699(a,1,1))]. 17701 K(x,L(a(y,y,z),L(z,y,y),L(z,y,y) \ 1) * (L(z,y,y) * u)) = K(x,z * u). [hyper(280,a,15083,a(flip),b,17004,a),flip(a)]. 17703 K(x,L(a(y,y,z),L(z,y,y),L(z \ 1,y,y)) * (L(z,y,y) * u)) = K(x,z * u). [para(17012(a,2),17701(a,1,2,1,3))]. 17704 K(x,a(y,y,L(z,L(z,y,y),L(z \ 1,y,y))) * (L(z,y,y) * u)) = K(x,z * u). [para(17026(a,2),17703(a,1,2,1))]. 17705 K(x,L(y,z,z) * u) = K(x,y * u). [hyper(58,a,17095,a(flip),b,17704,a)]. 17707 K(x,L(y,z,z \ 1) * u) = K(x,y * u). [para(16989(a,1),17705(a,1,2,1)),flip(a)]. 17708 K(x,((y \ 1) * z) * u) = K(x,(y \ z) * u). [para(16990(a,1),17705(a,1,2,1)),flip(a)]. 17709 K(x,L((y * z) / u,z,y)) = K(x,y * (z / u)). [hyper(17121,a,17707,a)]. 17710 K(x,(y \ K(z,y \ L(y,u,w))) * (L(y,u,w) * v5)) = K(x,T(y \ L(y,u,w),z) * v5). [hyper(58,a,16872,a(flip),b,17707,a),flip(a)]. 17711 K(x,((y \ 1) \ z) * u) = K(x,(y * z) * u). [para(7044(a,1),17707(a,1,2,1)),flip(a)]. 17712 K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). [hyper(10801,a,17708,a)]. 17713 K(x,(y * (y / z)) \ u) = K(x,(y \ (y \ z)) * u). [hyper(58,a,17159,a(flip),b,17708,a)]. 17714 K(x,(y \ (z * T(y,K(u,w)))) * v5) = K(x,(y * (z * (y \ 1))) * v5). [hyper(58,a,14015,a(flip),b,17708,a),flip(a)]. 17715 K(x,(y \ (z \ 1)) * u) = K(x,(z * y) \ u). [para(378(a,1),17712(a,1,2,1,1)),flip(a)]. 17716 K(x,((y * (z \ 1)) * u) \ w) = K(x,(u \ (z * (y \ 1))) * w). [para(298(a,1),17712(a,1,2,1,1))]. 17717 K(x,(y \ ((z \ K(u,w)) \ (v5 \ 1))) * v6) = K(x,((v5 / (K(w,u) * z)) * y) \ v6). [para(10649(a,1),17715(a,1,2,1,2))]. 17718 K(x,y / (z * (u \ w))) = K(x,y * ((w \ u) / z)). [hyper(58,a,17661,a(flip),b,17709,a)]. 17719 K(x,L(T(T(y,z),u * z),z,L(u,w,v5))) = K(x,(u * L(z,w,v5)) * ((L(z,w,v5) \ y) / u)). [hyper(58,a,17679,a,b,17718,a)]. 17720 K(x,(y * z) / (u * z)) = K(x,z * ((z \ y) / u)). [hyper(58,a,16653,a,b,17718,a)]. 17721 K(x / (x * y),L(T(z,u * x),x,u)) = K(z,(u * x) * ((x \ y) / u)). [hyper(58,a,15102,a,b,17718,a)]. 17722 K(x,y * (((z \ 1) \ u) / w)) = K(x,y * ((z * u) / w)). [hyper(58,a,17640,a(flip),b,17718,a),flip(a)]. 17723 K(x,y * ((y \ (z \ u)) / T(u,z))) = K(z,L(T(x,u),u,y)). [hyper(58,a,16654,a(flip),b,17718,a),flip(a)]. 17724 K(x,(y * z) * (((u \ z) \ z) / y)) = K(x,L(T(z * u,z * y),z,y)). [hyper(58,a,13927,a(flip),b,17718,a),flip(a)]. 17725 K(x,(y * z) * ((z \ u) / y)) = (y * (K(x,u) * z)) / (y * z). [hyper(58,a,9226,a(flip),b,17718,a),flip(a)]. 17726 K(x,y / (T(z,u \ w) * (w \ u))) = K(x,y * (z \ (u \ w))). [para(428(a,1),17718(a,2,2,2))]. 17727 K(x,y / (z * ((u * (w * z)) \ z))) = K(x,y * ((z \ u) / (z \ (z / w)))). [para(1003(a,1),17718(a,1,2,2))]. 17728 K(x,y / (z * ((u / w) \ L(u,v5,K(v6,v7))))) = K(x,y * ((u \ (L(u,v5,K(v7,v6)) / w)) / z)). [para(11827(a,1),17718(a,2,2,2,1))]. 17729 K(x,(y * z) * ((z \ u) / y)) != w | K(x,L(T(T(u,z),z * y),z,y)) = w. [para(17718(a,1),13928(a,1))]. 17730 K(x,K(y,z * u)) * K(x,z * ((z \ (u / y)) / u)) = K(x,(u * z) \ ((u / y) * z)). [para(17720(a,1),11559(a,1,2))]. 17731 K(x,y * ((y \ (z / u)) / z)) = K(u,L(T(x,z),z,y)). [para(10869(a,1),17723(a,1,2,2))]. 17732 K(x,((y * (z \ K(u,K(w,v5)))) * v6) \ v7) = K(x,(v6 \ (z * (y \ 1))) * v7). [hyper(58,a,16042,a,b,17716,a)]. 17733 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [para(3749(a,1),17726(a,1,2,2))]. 17734 K(x,y / (((z \ 1) * u) * w)) = K(x,y * (w \ (u \ z))). [hyper(17655,a,17733,a)]. 17735 K(x \ T(y,z),L(T(u,y * (w * T(y,z))),w,y)) = K(u,((w \ y) * x) * (T(y,z) \ (y \ w))). [hyper(58,a,17687,a,b,17733,a)]. 17736 K(x \ y,L(T(z,u * (w * y)),y,u \ w)) = K(z,((u \ w) * x) * (y \ (w \ u))). [hyper(58,a,16590,a,b,17733,a)]. 17737 K(x,y * (z \ (T(u,w \ 1) \ w))) = K(x,y / ((u / w) * z)). [para(3521(a,1),17733(a,1,2,2,1)),flip(a)]. 17738 K(x,y * (z \ (u \ (w \ 1)))) = K(x,y / ((w * u) * z)). [para(378(a,1),17734(a,1,2,2,1,1)),flip(a)]. 17739 K(x,K(y,z * (u * w))) * K(y,x / ((u * z) * w)) = K(y,(w \ (z \ (u \ 1))) * x). [para(17738(a,1),17564(a,1,2))]. 17740 K(x,y / ((z / u) * w)) = K(x,y * (w \ (u / z))). [para(3513(a,1),17737(a,1,2,2,2)),flip(a)]. 17741 K(x,y * (z \ (u / (y / z)))) = K(x,L(T(u,z * y),y,z)). [hyper(58,a,14996,a(flip),b,17740,a),flip(a)]. 17742 K(x,y * (z \ (z / u))) = K(x,y / u). [para(7(a,1),17740(a,1,2,2)),flip(a)]. 17743 K(x,K(y,z * (u * w))) * K(x,y * (u \ (w / z))) = K(x,((z / w) * u) \ y). [para(17740(a,1),14124(a,1,2))]. 17744 K(x,y / (z \ u)) = K(x,y * (u \ z)). [para(67(a,1),17742(a,1,2,2,2)),flip(a)]. 17745 K(x,y / (z / u)) = K(x,y * (u / z)). [para(934(a,1),17742(a,1,2,2)),flip(a)]. 17746 K(L(x,y,z),u * (w \ v5)) = K(x,L(u / (v5 \ w),y,z)). [hyper(9517,a,17744,a),flip(a)]. 17747 K(x,T(y / (z \ u),w)) = T(K(x,y * (u \ z)),w). [para(17744(a,1),3631(a,2,1))]. 17748 K(x,L(y,T(z / (u \ w),v5),v6)) = K(x,y) * a(x,v6,K(y,z * (w \ u))). [para(17744(a,1),14526(a,2,2,3))]. 17749 K(x,L((y * z) / u,z,u)) = K(x,y * (z / u)). [hyper(14736,a,17745,a)]. 17750 K(x,(y \ 1) * (z / u)) = K((u / z) * y,x). [hyper(10679,a,17745,a),flip(a)]. 17751 K(x,K(y,z * (u * w))) * K(y,x * (z / (u / w))) = K(y,((u / w) / z) \ x). [para(17745(a,1),17434(a,1,2))]. 17752 K((x / y) * z,u) = K(u,z \ (y / x)). [hyper(10625,a,17750,a),flip(a)]. 17754 K(x,y \ (z / ((u \ 1) * w))) = K(x,y \ (z * (w \ u))). [hyper(58,a,17663,a(flip),b,17752,a),flip(a)]. 17755 K(x,K((y / z) * u,w)) * K(x,w * (u \ (z / y))) = K(x,(u \ (z / y)) * w). [para(17752(a,2),6500(a,1,1,2))]. 17756 a(x,(y * z) / u,K(z,u)) * K(x,(y * z) / u) = K(x,y * (z / u)). [hyper(14613,a,17749,a)]. 17757 K(x,L((y * z) / ((u \ 1) * w),w \ u,z)) = K(x,y * (z / ((u \ 1) * w))). [hyper(58,a,14913,a(flip),b,17749,a)]. 17758 K(x,L((y * z) / (u \ (u / w)),w,z)) = K(x,y * (z / (u \ (u / w)))). [hyper(58,a,14606,a(flip),b,17749,a)]. 17759 K(x,L(((y * (z / u)) * u) / w,T(u,z),w)) = K(x,(y * (u \ z)) * (T(u,z) / w)). [para(4653(a,1),17749(a,1,2,1,1))]. 17760 K(x,L((y * ((z \ y) \ u)) / w,(y / z) \ u,w)) = K(x,(z * (y / z)) * (((y / z) \ u) / w)). [para(4952(a,1),17749(a,1,2,1,1))]. 17761 K(x,L(L(a(y,z,u) \ 1,w,v5),w * (a(y,z,u) \ 1),L(v5 * w,z,K(y,u)))) = K(x,v5 * ((w * (a(y,z,u) \ 1)) / L(v5 * w,z,K(y,u)))). [para(11881(a,1),17749(a,1,2,1))]. 17762 K(x,T(y / (z \ u),w)) = K(x,T(y * (u \ z),w)). [hyper(280,a,3631,a,b,17747,a),flip(a)]. 17763 a(x,y,K(z,T(u * (w \ v5),v6))) * K(z,x) = K(z,L(x,y,T(u / (v5 \ w),v6))). [para(17762(a,1),10840(a,1,1,3))]. 17764 K(x,L(y / (z \ u),w,v5)) != v6 | K(x,L(y * (u \ z),w,v5)) = v6. [para(17746(a,1),9517(a,1))]. 17765 K(x,y \ (z / ((u \ 1) * (w \ K(v5,w * u))))) = K(x,y \ (z * T((w \ 1) \ u,v5))). [para(10927(a,1),17754(a,2,2,2,2))]. 17766 K(x,T(y * K(z,K(u,w)),z) * v5) = K(x,(z * (y * (z \ 1))) * v5). [para(3401(a,2),17714(a,1,2,1))]. 17767 K(x,T(y,z) * (u * K(z,K(w,v5)))) = K(x,(z * (y * (z \ 1))) * u). [para(13415(a,1),17766(a,1,2))]. 17768 K(x,(y * (z * (y \ 1))) * u) = K(x,T(z,y) * u). [hyper(12552,a,17767,a),flip(a)]. 17770 K(x,L((y * z) * u,y,z)) = K(x,T(z,y) * (y * u)). [hyper(58,a,15158,a,b,17768,a)]. 17771 K((x * y) * z,u) * K(u,T(y,x) * (x * z)) = a(x,u,K(z,y)). [para(17770(a,1),16612(a,1,2))]. 17772 K(x,L(T(y * z,y * u),y,u)) = K(x,(u * y) * (T(z,y) / u)). [para(411(a,2),17724(a,1,2,2,1)),flip(a)]. 17773 K(x,((y \ 1) * z) / ((y \ 1) * (u \ 1))) = K(x,(y * u) * (T(z,u) / y)). [hyper(58,a,15585,a(flip),b,17772,a)]. 17774 a(x,y \ (z * u),K(u,y)) * K(x,(z * u) / y) = K(x,z * (u / y)). [para(14575(a,1),17756(a,1,1))]. 17775 K(x,L((y * z) * ((u / w) \ u),w,z)) = K(x,y * (z / (u \ (u / w)))). [hyper(17764,a,17758,a)]. 17776 a(x,y,K(z * y,u)) * K(u,(z * y) / x) = K(u,z * (y / x)). [para(14568(a,1),17774(a,1,1))]. 17777 a(x,y,K(z,u)) * K(x,(z * u) / y) = K(x,z * (u / y)). [para(14479(a,1),17776(a,1,1))]. 17778 a(x,y,K(z,u)) * K(y,(x * u) / z) = K(y,x * (u / z)). [hyper(14489,a,17777,a)]. 17779 a(x,y,K(x * z,z / u)) * K(u,L(T(y,x * z),z,x)) = K(y,x * ((z / u) / (x * z))). [para(9557(a,1),17778(a,1,2))]. 17780 a(x,y,K(x * z,z * u)) * K(y,K(x * z,u) * L(u,z,x)) = K(y,x * ((z * u) / (x * z))). [para(11363(a,2),17778(a,1,2,2))]. 17781 K(x,L((y * z) * u,u,z)) = K(x,y * (z / (w \ (w / u)))). [para(70(a,1),17775(a,1,2,1,2))]. 17782 K(x,L((y * z) * u,u,z)) = K(x,y * (z / (u \ 1))). [para(64(a,1),17781(a,2,2,2,2,2))]. 17783 K(x,L((y * z) * u,u,z)) = K(x,y * (z * u)). [hyper(280,a,17119,a(flip),b,17782,a),flip(a)]. 17784 K(x,y * (z / (u \ (u / w)))) = K(x,y * (z * w)). [hyper(58,a,17781,a(flip),b,17783,a)]. 17785 K(x,y / (z * ((u * (w * z)) \ z))) = K(x,y * (((u \ z) \ 1) * w)). [hyper(58,a,17125,a(flip),b,17784,a)]. 17786 K(x,y * (z / (u \ w))) = K(x,y * (z * (w \ u))). [para(67(a,1),17784(a,1,2,2,2,2))]. 17787 K(x,y * (z / (u / w))) = K(x,y * (z * (w / u))). [para(934(a,1),17784(a,1,2,2,2))]. 17788 K(x,y * (z * (u \ (u / w)))) = K(x,y * (z / w)). [para(70(a,1),17786(a,1,2,2,2)),flip(a)]. 17789 K(x,y * (z * (L(u * w,u,w) \ u))) = K(x,y * (z / L(w,u,u \ 1))). [para(8767(a,1),17786(a,1,2,2,2)),flip(a)]. 17791 K(x,y / (z * ((u * (w * z)) \ z))) = K(x,y * ((u \ z) \ w)). [hyper(280,a,17101,a(flip),b,17785,a),flip(a)]. 17792 K(x,y * ((z \ u) / (z \ (z / w)))) = K(x,y * ((u \ z) \ w)). [hyper(58,a,17791,a(flip),b,17727,a),flip(a)]. 17793 K(x,y * ((z \ u) \ w)) = K(x,y * ((u \ z) * w)). [hyper(58,a,17784,a(flip),b,17792,a),flip(a)]. 17795 K(x,(y * z) * (z \ u)) = K(x,z * ((z \ y) * u)). [hyper(58,a,17152,a,b,17793,a)]. 17796 K(x,y * (((z \ 1) \ u) * w)) = K(x,y * ((z * u) * w)). [hyper(58,a,17647,a(flip),b,17793,a),flip(a)]. 17797 K(x,y * ((y \ z) * u)) * K(x,K(z,u)) = K(x,(u / y) * (y * z)). [para(17793(a,1),17352(a,1,1))]. 17798 K(x,K(y,z * (u * w))) * K(y,x * ((u \ z) * w)) = K(y,((z \ u) \ w) * x). [para(17793(a,1),17403(a,1,2))]. 17799 K(x,(y * (z / u)) * u) = K(x,(y / u) * (u * z)). [hyper(58,a,11849,a(flip),b,17797,a)]. 17800 K(x,K(y,z * u)) * K(y,(z / x) * (x * u)) = K(y,x * (z * (u / x))). [para(17799(a,1),11581(a,1,2))]. 17801 K(x,L(y,T(z / (u \ w),v5),v6)) = K(x,L(y,z * (w \ u),v6)). [hyper(280,a,14437,a(flip),b,17748,a),flip(a)]. 17802 K(x,L(y,z / (u \ w),v5)) = K(x,L(y,z * (w \ u),v5)). [hyper(14725,a,17801,a)]. 17803 K(x,L(y,(z \ u) \ w,v5)) = K(x,L(y,w * (u \ z),v5)). [para(103(a,1),17801(a,1,2,2))]. 17804 K(x,L(y,(z / u) \ w,v5)) = K(x,L(y,w * (z \ u),v5)). [hyper(58,a,16365,a(flip),b,17802,a)]. 17805 K(x,L((y * ((z \ u) \ w)) / v5,w * (u \ z),v5)) = K(x,y * (((z \ u) \ w) / v5)). [hyper(58,a,17749,a(flip),b,17803,a),flip(a)]. 17806 K(x,((y \ 1) * z) / ((u * y) \ 1)) = K(x,(y * u) * (T(z,u) / y)). [para(512(a,1),17773(a,1,2,2))]. 17807 K(x,((y * z) \ ((u \ 1) * z)) \ 1) = K(x,(z * y) * (T(u,y) / z)). [para(532(a,1),17806(a,1,2))]. 17808 K(x,((y \ 1) * z) \ (u * z)) = K(x,(z * u) * (T(y,u) / z)). [hyper(3311,a,17807,a)]. 17809 K(x,(y * z) * (T(u,z) / y)) = K(x,(y \ u) * (z * y)). [hyper(58,a,17712,a(flip),b,17808,a),flip(a)]. 17810 K(x,((y \ 1) * z) \ ((y \ u) * z)) = K(x,(z * (y \ u)) * (T(y,u) / z)). [para(423(a,1),17808(a,2,2,2,1))]. 17811 K(x,(y \ (z / u)) * (u * y)) = K(x,(y * u) * ((u \ z) / y)). [para(103(a,1),17809(a,1,2,2,1)),flip(a)]. 17812 K(x,y * (z * ((u \ 1) * (u / w)))) = K(x,y * (z / L(w,u,u \ 1))). [para(17230(a,1),17789(a,1,2,2,2))]. 17813 K(x,L((y * z) * (u \ w),u \ w,z)) = K(x,y * (z / ((w \ 1) * u))). [hyper(58,a,17489,a(flip),b,17757,a)]. 17814 K(x,y * (z / ((u \ 1) * w))) = K(x,y * (z * (w \ u))). [hyper(58,a,17783,a(flip),b,17813,a),flip(a)]. 17815 K(x,y * (z * ((u \ 1) * w))) = K(x,y * (z * (u \ w))). [hyper(58,a,17120,a(flip),b,17814,a)]. 17816 K(x,y * (z / L(u,w,w \ 1))) = K(x,y * (z * (w \ (w / u)))). [hyper(58,a,17812,a(flip),b,17815,a)]. 17817 K(x,y * (z / L(u,w,w \ 1))) = K(x,y * (z / u)). [hyper(280,a,17788,a(flip),b,17816,a),flip(a)]. 17819 K(x,(y * (z \ y)) * (u / ((y * (z \ y)) * (y \ 1)))) = K(x,(y * (y / z)) * (u / (z \ y))). [hyper(58,a,12873,a,b,17817,a)]. 17820 K(x,K(y,z * (u * w))) * K(y,x * (z / (u / w))) = K(y,(z / (u / w)) * x). [hyper(280,a,17137,a(flip),b,17751,a),flip(a)]. 17821 K(x,K(y,(z / u) * w)) * K(x,y * (w \ (u / z))) = K(x,(w \ (u / z)) * y). [para(5298(a,1),17755(a,1,1))]. 17822 K(x,L(y,z,T(u / (w \ v5),v6))) = a(y,z,K(x,u * (v5 \ w))) * K(x,y). [para(13375(a,1),17763(a,1,1)),flip(a)]. 17823 K(x,L(y,z,T(u / (w \ v5),v6))) = K(x,L(y,z,u * (v5 \ w))). [hyper(280,a,10840,a(flip),b,17822,a),flip(a)]. 17825 K(x,L(y,z,(u \ w) \ v5)) = K(x,L(y,z,v5 * (w \ u))). [para(103(a,1),17823(a,1,2,3))]. 17826 K(x,L(y / (z / (u \ 1)),u,z * (1 \ u))) = K(z * (u / y),x). [hyper(58,a,17442,a(flip),b,17825,a),flip(a)]. 17827 K(x,L(y / (z / (u \ 1)),u,z * u)) = K(z * (u / y),x). [para(60(a,1),17826(a,1,2,3,2))]. 17828 K(x,L(y / (z / (u \ 1)),u,z)) = K(z * (u / y),x). [hyper(58,a,14703,a(flip),b,17827,a)]. 17829 K(x,L(y * (z \ (u \ 1)),z,u)) = K(u * (z / y),x). [hyper(58,a,10921,a(flip),b,17828,a)]. 17830 K(x,L(y / (z * u),u,z)) = K(z * (u / y),x). [hyper(58,a,17490,a(flip),b,17829,a)]. 17831 K(x,L(T(y,z \ (u \ 1)),z,u * u)) = K(u * (z / (u * (z * y))),x). [hyper(16706,a,17830,a)]. 17832 K(x,L(T(y,z * u),u,z * z)) = K(z * (u / (z * (u * y))),x). [hyper(15581,a,17831,a)]. 17833 K(x,L(T(y,z * L(u,w,v5)),u,L(z * z,w,v5))) = K(z * (L(u,w,v5) / (z * (L(u,w,v5) * y))),x). [hyper(58,a,14877,a(flip),b,17832,a)]. 17834 K(x,((y \ z) \ u) * w) = K(x,((z \ y) * u) * w). [hyper(58,a,13604,a(flip),b,17798,a),flip(a)]. 17835 K(x,K(y,z * (u * w))) * K(y,x * (z * (w / u))) = K(y,(z / (u / w)) * x). [para(17787(a,1),17820(a,1,2))]. 17836 K(x,K(y,z * (u * w))) * K(x,y * (u \ (w / z))) = K(x,(u \ (w / z)) * y). [para(14123(a,1),17821(a,1,1))]. 17837 K(x,(y / (z / u)) * w) = K(x,(y * (u / z)) * w). [hyper(58,a,17433,a(flip),b,17835,a),flip(a)]. 17838 K(x,(y * (z / u)) * (u / y)) = K(x,(y / u) * ((u * z) / y)). [hyper(58,a,17402,a(flip),b,17837,a),flip(a)]. 17839 K(x,((y / z) * u) \ w) = K(x,(u \ (z / y)) * w). [hyper(58,a,17743,a(flip),b,17836,a)]. 17840 K(x,K(y,z * u)) * K(y,x * (z \ (u / x))) = K(y,(z \ (u / x)) * x). [para(5282(a,1),17836(a,1,1))]. 17841 K(x,(y \ ((z \ K(u,w)) \ (v5 \ 1))) * v6) = K(x,(y \ ((K(w,u) * z) / v5)) * v6). [hyper(58,a,17717,a,b,17839,a)]. 17842 K(x,K(y,z * (u \ 1))) * K(y,x * ((u \ K(u,z)) \ (z / x))) = K(y,((u \ K(u,z)) \ (z / x)) * x). [para(3575(a,1),17840(a,1,1,2,2))]. 17843 K(x,((y / z) * u) / ((y / z) * w)) = K(x,((z \ y) * u) * (w \ (y \ z))). [hyper(58,a,16591,a(flip),b,17736,a)]. 17844 K(x,L(((y * (z / u)) * u) / w,u,w)) = K(x,(y * (u \ z)) * (T(u,z) / w)). [hyper(14725,a,17759,a)]. 17846 K(x,(y * (z \ u)) * (T(z,u) / w)) = K(x,(y * (u / z)) * (z / w)). [hyper(58,a,17749,a(flip),b,17844,a),flip(a)]. 17847 K(x,((y \ 1) * z) \ ((y \ u) * z)) = K(x,(z * (u / y)) * (y / z)). [hyper(58,a,17810,a,b,17846,a)]. 17848 K(x,((y \ 1) * z) \ ((y \ u) * z)) = K(x,(z / y) * ((y * u) / z)). [hyper(280,a,17838,a(flip),b,17847,a),flip(a)]. 17849 K(x,(y / z) * ((z * u) / y)) = K(x,(y \ z) * ((z \ u) * y)). [hyper(58,a,17712,a(flip),b,17848,a),flip(a)]. 17850 K(x,K(y,z * u)) * K(y,L(T(x,u),u,z)) = K(x,(u * z) \ ((u / y) * z)). [para(17731(a,1),17730(a,1,2))]. 17851 L(K(x,K(y,z * u)) * K(y,T(x,u)),u,z) = K(x,(u * z) \ ((u / y) * z)). [hyper(58,a,13914,a,b,17850,a)]. 17852 L(T(K(x,y) * K(y,K(x,z * u)),u),u,z) = K(y,(u * z) \ ((u / x) * z)). [para(12364(a,2),17851(a,1,1))]. 17853 L(T(K(x,T(y,z * u)),u),u,z) = K(y,(u * z) \ ((u / x) * z)). [para(5320(a,1),17852(a,1,1,1))]. 17854 L(K(x,T(T(y,z),u * z)),z,u) = K(y,(z * u) \ ((z / x) * u)). [para(3645(a,2),17853(a,1,1))]. 17855 K(x,L(T(T(y,z),u * z),z,u)) = K(y,(z * u) \ ((z / x) * u)). [hyper(9433,a,17854,a)]. 17856 K(x,(y * z) \ ((y / (u \ y)) * z)) = K(x,(z * T(u,y)) / (z * y)). [hyper(58,a,9624,a(flip),b,17855,a),flip(a)]. 17857 K(x,(y * T(z,u)) / (y * u)) = K(x,(u * y) \ (z * y)). [para(67(a,1),17856(a,1,2,2,1)),flip(a)]. 17859 K(x / y,L(T(z,u * x),x,u)) = K(z,(x * u) \ (y * u)). [hyper(9605,a,17857,a)]. 17860 K(x,(y * T(z,u \ w)) * ((w \ u) / y)) = K(x,((u \ w) * y) \ (z * y)). [hyper(58,a,17718,a(flip),b,17857,a)]. 17861 K(x,(T((y \ 1) \ z,u) * T(w,y \ 1)) / (T((y \ 1) \ z,u) * (y \ 1))) = K(x,(y \ T(y * z,u)) \ (w * T((y \ 1) \ z,u))). [para(1360(a,1),17857(a,2,2,1))]. 17862 K(x,(y * z) \ ((y * u) * z)) = K(x,(z * y) * ((y \ u) / z)). [hyper(58,a,17721,a(flip),b,17859,a),flip(a)]. 17863 K(x,(y * z) / (y * T(u,z))) = K(x,(u * y) \ (z * y)). [hyper(58,a,15060,a(flip),b,17859,a)]. 17864 K(x,((y \ z) * u) / ((y \ z) * T(z,u))) = K(x,(z / (z \ y)) \ (u * (y \ z))). [para(305(a,2),17863(a,2,2,1))]. 17865 K(x,((y / z) * u) / ((y / z) * T(y,u))) = K(x,(y / (z / y)) \ (u * (y / z))). [para(1007(a,2),17863(a,2,2,1))]. 17866 K(x,(y * T(z,u \ (y \ 1))) * (((y \ 1) \ u) / y)) = K(x,(y * ((y \ 1) / u)) \ (z * y)). [para(3547(a,1),17860(a,2,2,1))]. 17867 K(x,((y \ z) * u) * (T(z,u) \ (z \ y))) = K(x,(z / (z \ y)) \ (u * (y \ z))). [hyper(58,a,17733,a(flip),b,17864,a)]. 17868 K(x,((y \ z) * u) * (T(z,u) \ (z \ y))) = K(x,(z / (y / z)) \ (u * (z / y))). [hyper(58,a,17843,a(flip),b,17865,a)]. 17869 K(x,((y \ z) * u) * (z \ (T(z,u) \ y))) = K(x,(z / (z \ y)) \ (u * (y \ z))). [para(1642(a,1),17867(a,1,2,2))]. 17870 K(x,((y \ z) * u) * (z \ (T(z,u) \ y))) = K(x,(z / (y / z)) \ (u * (z / y))). [para(1642(a,1),17868(a,1,2,2))]. 17871 K(x,((y \ z) * u) * (z \ (T(z,u) \ y))) = K(x,(z \ (y / z)) * (u * (y \ z))). [hyper(280,a,17139,a(flip),b,17869,a),flip(a)]. 17872 K(x,(y / (z / y)) \ (u * (y / z))) = K(x,(y \ (z / y)) * (u * (z \ y))). [hyper(58,a,17870,a(flip),b,17871,a)]. 17873 K(x,(y * (y / z)) \ (u * (y / z))) = K(x,(y \ (z / y)) * (u * (z \ y))). [para(1007(a,1),17872(a,1,2,1))]. 17874 K(x,(y \ (z / y)) * (u * (z \ y))) = K(x,(y \ (y \ z)) * (u * (y / z))). [hyper(58,a,17713,a(flip),b,17873,a),flip(a)]. 17875 K(x,((y \ z) * u) * (z \ (T(z,u) \ y))) = K(x,(z \ (z \ y)) * (u * (z / y))). [hyper(58,a,17871,a,b,17874,a)]. 17876 K(x,(y \ (z \ (u \ 1))) * w) = K(x,((u * z) * y) \ w). [hyper(58,a,17431,a(flip),b,17739,a),flip(a)]. 17877 K(x,((y * (z \ K(u,w))) * v5) \ v6) = K(x,(v5 \ ((K(w,u) * z) / y)) * v6). [hyper(58,a,17841,a(flip),b,17876,a),flip(a)]. 17878 K(x,(y \ ((K(K(z,u),w) * v5) / v6)) * v7) = K(x,(y \ (v5 * (v6 \ 1))) * v7). [hyper(58,a,17732,a(flip),b,17877,a),flip(a)]. 17879 K(x,(y \ ((K(z,K(u,w)) * v5) / v6)) * v7) = K(x,(y \ (v5 * (v6 \ 1))) * v7). [para(2896(a,1),17878(a,1,2,1,2,1,1))]. 17880 K(x,(y \ (z * (u \ 1))) * w) = K(x,(y \ (z / u)) * w). [para(6439(a,1),17879(a,1,2,1,2,1)),flip(a)]. 17881 K(x,((y * (z \ 1)) * u) \ w) = K(x,(u \ (z / y)) * w). [hyper(58,a,17716,a,b,17880,a)]. 17882 K(x,(y * z) \ ((y / (u \ 1)) * w)) = K(x,(z \ (u / (y / w))) * y). [hyper(58,a,16685,a(flip),b,17881,a)]. 17883 K(x,(y * z) \ ((y * u) * w)) = K(x,(z \ (u / (y / w))) * y). [hyper(58,a,16562,a(flip),b,17882,a)]. 17884 K(x,(y \ (z / (u / y))) * u) = K(x,(y * u) * ((u \ z) / y)). [hyper(58,a,17862,a(flip),b,17883,a),flip(a)]. 17885 K(x,(y * L(z,u,K(w,v5))) * ((L(z,u,K(w,v5)) \ v6) / y)) = K(x,(y \ (v6 / (L(z,u,K(w,v5)) / y))) * z). [hyper(13644,a,17884,a),flip(a)]. 17886 K(x,(y * (z \ 1)) * (((z \ 1) \ u) / y)) = K(x,(y \ (u / ((z \ 1) / y))) / z). [hyper(10834,a,17884,a),flip(a)]. 17887 K(x,(y * (z * y)) * (((z * y) \ u) / y)) = K(x,(y \ (u / z)) * (z * y)). [para(6(a,1),17884(a,1,2,1,2,2)),flip(a)]. 17888 K(x,((y \ z) * z) * ((z \ u) / (y \ z))) = K(x,((y \ z) \ (u / y)) * z). [para(67(a,1),17884(a,1,2,1,2,2)),flip(a)]. 17889 K(x,y * (z \ (u / (y / z)))) * y = y * K(x,(z * y) * ((y \ u) / z)). [para(17884(a,1),3787(a,2,2))]. 17890 K(x,(y * (z * y)) * (((z * y) \ u) / y)) = K(x,(y * z) * ((z \ u) / y)). [hyper(280,a,17811,a(flip),b,17887,a),flip(a)]. 17891 K(x,((y \ z) * z) * ((z \ u) / (y \ z))) = K(x,((z \ y) * (u / y)) * z). [hyper(280,a,17834,a(flip),b,17888,a),flip(a)]. 17892 x * K(y,(z * x) * ((x \ u) / z)) = K(y,L(T(u,z * x),x,z)) * x. [para(17741(a,1),17889(a,1,1)),flip(a)]. 17893 x * K(y,(z * x) * ((x \ u) / z)) = ((x / z) * K(y,u)) * z. [hyper(280,a,15242,a(flip),b,17892,a),flip(a)]. 17894 K(x,(y * ((z / y) * y)) * ((((z / y) * y) \ u) / y)) = K(x,T(z,y) * (((z / y) \ u) / y)). [hyper(280,a,11963,a(flip),b,17890,a),flip(a)]. 17895 K(x,(y * (z * y)) * (L(u,y,z) / y)) = K(x,(y * z) * ((z \ (z * (y * u))) / y)). [para(13(a,2),17890(a,1,2,2,1))]. 17896 K(x,((y \ z) * z) * ((z \ u) * (z \ y))) = K(x,((z \ y) * (u / y)) * z). [hyper(58,a,17786,a(flip),b,17891,a)]. 17897 K(x,(y * (y / z)) * ((y \ u) * (y \ z))) = K(x,((y \ z) * (u / z)) * y). [hyper(58,a,12793,a(flip),b,17896,a)]. 17898 K(x,((y \ 1) * (z / y)) * (((y \ 1) \ u) / (y \ z))) = K(x,((y \ z) \ (u / ((y \ 1) / (y \ z)))) / y). [hyper(58,a,12877,a,b,17886,a)]. 17899 K(x,(y \ (z / ((u \ 1) / y))) / u) = K(x,(y * (u \ 1)) * ((u * z) / y)). [hyper(58,a,17722,a(flip),b,17886,a),flip(a)]. 17900 K(x,L(y,z,z \ 1) * (((z \ 1) \ u) / (y * z))) = K(x,((y * z) \ (u / ((z \ 1) / (y * z)))) / z). [para(3949(a,1),17886(a,1,2,1))]. 17901 K(x,(y \ (z / ((u \ 1) / y))) / u) = K(x,(y / u) * ((u * z) / y)). [hyper(280,a,17143,a(flip),b,17899,a),flip(a)]. 17902 K(x,(y \ (z / ((u \ 1) / y))) / u) = K(x,(y \ u) * ((u \ z) * y)). [hyper(280,a,17849,a(flip),b,17901,a),flip(a)]. 17903 K(x,(y * (z * y)) * (L(u,y,z) / y)) = K(x,(y * z) * ((y * u) / y)). [para(4(a,1),17895(a,2,2,2,1))]. 17905 K(x,(y * (z * y)) * (L(u,y,z) / y)) = K(x,(y * z) * (y * (u / y))). [para(947(a,1),17903(a,2,2,2))]. 17906 K(x,(y * (z * y)) * (L(u,y,z) / y)) = K(x,(y * z) * T(u,y)). [hyper(280,a,12672,a(flip),b,17905,a),flip(a)]. 17907 K(x,y \ (z / T((u * w) \ 1,v5))) = K(x,y \ (z * T((u \ 1) \ w,v5))). [para(11293(a,1),17765(a,1,2,2,2))]. 17908 K(x,y \ (z * T((u \ 1) \ w,v5))) = K(x,y \ (z * T(u * w,v5))). [hyper(58,a,15950,a(flip),b,17907,a),flip(a)]. 17909 K(x,K(y,z \ L(z,u,w)) * (z \ (L(z,u,w) * v5))) = K(x,T(z \ L(z,u,w),y) * v5). [hyper(15263,a,17710,a)]. 17911 K(x,K(y,z \ L(z,u,w)) * (L(z,u,w) * (z \ v5))) = K(x,T(z \ L(z,u,w),y) * v5). [para(1914(a,1),17909(a,1,2,2))]. 17912 K(x,a(y,z,K(u,w)) * (L(u,w,z) * (u \ v5))) = K(x,T(u \ L(u,w,z),y) * v5). [para(14794(a,1),17911(a,1,2,1))]. 17913 K(x,T(y \ L(y,z,u),w) * v5) = K(x,L(y,z,u) * (y \ v5)). [hyper(13642,a,17912,a),flip(a)]. 17915 K(x,y * (z * T(y \ L(y,u,w),v5))) = K(x,L(y,u,w) * (y \ (y * z))). [hyper(58,a,13709,a(flip),b,17913,a)]. 17917 K(x,y * (z * T(y \ L(y,u,w),v5))) = K(x,L(y,u,w) * z). [para(4(a,1),17915(a,2,2,2))]. 17918 K(x,(y \ 1) * (z * T((y \ 1) \ (u * ((y * u) \ 1)),w))) = K(x,L(y \ 1,u,u \ 1) * z). [para(7043(a,1),17917(a,1,2,2,2,1,2))]. 17919 K(x,y * ((z \ (L(z,u,K(w,v5)) / v6)) / v7)) = K(x,y / (v7 * (v6 * a(z,u,K(v5,w))))). [para(11816(a,1),17728(a,1,2,2,2)),flip(a)]. 17920 K(x,y * ((z \ (L(z,u,K(w,v5)) / v6)) / v7)) = K(x,y / (v7 * v6)). [hyper(280,a,14380,a(flip),b,17919,a),flip(a)]. 17922 a(x,y,K(x * z,u \ z)) * K(u,L(T(y,x * z),z,x)) = K(y,x * ((z / u) / (x * z))). [para(13384(a,1),17779(a,1,1))]. 17924 K(x,(y * (z \ y)) * (u / ((y * (z \ y)) * (y \ 1)))) = K(x,(y * (y / z)) * (u * (y \ z))). [hyper(280,a,17786,a(flip),b,17819,a),flip(a)]. 17925 K(x,(y * T(z,u \ (y \ 1))) * ((y \ 1) \ (u / y))) = K(x,(y * ((y \ 1) / u)) \ (z * y)). [para(7094(a,1),17866(a,1,2,2))]. 17926 K(x,(y * z) * ((((z / y) * y) \ u) / y)) = K(x,T(z,y) * (((z / y) \ u) / y)). [para(7(a,1),17894(a,1,2,1,2))]. 17927 K(x,T(y,z) * (((y / z) \ u) / z)) = K(x,(z * y) * ((y \ u) / z)). [para(7(a,1),17926(a,1,2,2,1,1)),flip(a)]. 17928 a(x,y,K(z,u \ z)) * K(u,L(T(y,x * z),z,x)) = K(y,x * ((z / u) / (x * z))). [para(13404(a,1),17922(a,1,1))]. 17929 a(x,y,K(z,u)) * K(z,L(T(y,x * u),u,x)) = K(y,x * ((u / z) / (x * u))). [para(2896(a,1),17928(a,1,1,3))]. 17930 L(a(x,y,K(z,u)) * K(x,T(y,u * z)),z,u) = K(y,u * ((z / x) / (u * z))). [hyper(58,a,16625,a,b,17929,a)]. 17931 L(T(K(x,y) * a(x,y,K(z,u)),u * z),z,u) = K(y,u * ((z / x) / (u * z))). [para(13539(a,2),17930(a,1,1))]. 17932 L(T(K(x,L(y,z,u)),u * z),z,u) = K(y,u * ((z / x) / (u * z))). [para(14495(a,1),17931(a,1,1,1))]. 17933 L(K(x,L(T(y,z * u),u,z)),u,z) = K(y,z * ((u / x) / (z * u))). [para(3646(a,2),17932(a,1,1))]. 17934 K(x,L(L(T(y,z * u),u,z),u,z)) = K(y,z * ((u / x) / (z * u))). [hyper(9433,a,17933,a)]. 17935 K(x,L(T(y,z * u),u,z * z)) = K(y,z * ((u / x) / (z * u))). [hyper(16700,a,17934,a)]. 17936 K(x * (y / (x * (y * z))),u) = K(z,x * ((y / u) / (x * y))). [hyper(58,a,17832,a(flip),b,17935,a)]. 17937 K(x,(y * (z \ y)) * (u / L(y / z,y,y \ 1))) = K(x,(y * (y / z)) * (u * (y \ z))). [para(3542(a,1),17924(a,1,2,2,2))]. 17938 K(x,(y * (y / z)) * (u * (y \ z))) = K(x,(y * (z \ y)) * (u / (y / z))). [hyper(58,a,17817,a(flip),b,17937,a),flip(a)]. 17940 K(x,(y * (y / z)) * (u * (y \ z))) = K(x,(y * (z \ y)) * (u * (z / y))). [hyper(280,a,17787,a(flip),b,17938,a),flip(a)]. 17941 K(x,(y * (z \ y)) * ((y \ u) * (z / y))) = K(x,((y \ z) * (u / z)) * y). [hyper(58,a,17897,a(flip),b,17940,a),flip(a)]. 17942 K(x,(y * T(z,u \ (y \ 1))) * (y * (u / y))) = K(x,(y * ((y \ 1) / u)) \ (z * y)). [hyper(58,a,17100,a(flip),b,17925,a)]. 17943 K(x,(y * T(z,u \ (y \ 1))) * T(u,y)) = K(x,(y * ((y \ 1) / u)) \ (z * y)). [hyper(58,a,12672,a(flip),b,17942,a)]. 17944 K(x,(y * T(z,u \ (y \ 1))) * T(u,y)) = K(x,((u / (y \ 1)) / y) * (z * y)). [hyper(280,a,17579,a(flip),b,17943,a),flip(a)]. 17945 K(x,(y * T(z,u \ (y \ 1))) * T(u,y)) = K(x,L(u,y,y) * (z * y)). [para(16988(a,1),17944(a,2,2,1))]. 17946 K(x,(y * T(z,u \ (y \ 1))) * T(u,y)) = K(x,u * (z * y)). [hyper(280,a,17705,a(flip),b,17945,a),flip(a)]. 17948 K(x \ T(y,z),L(T(u,y * (w * T(y,z))),w,y)) = K(u,((w \ y) * x) * (y \ (T(y,z) \ w))). [para(1642(a,1),17735(a,2,2,2))]. 17949 K(x,L((y * ((z \ y) \ u)) / w,u * (y \ z),w)) = K(x,(z * (y / z)) * (((y / z) \ u) / w)). [hyper(58,a,17804,a(flip),b,17760,a)]. 17950 K(x,(y \ 1) * (z * T((L(y,u,u \ 1) / y) \ 1,w))) = K(x,L(y \ 1,u,u \ 1) * z). [para(3999(a,1),17918(a,1,2,2,2,1))]. 17951 K(x,(y \ 1) * (z * T((y \ L(y,u,u \ 1)) \ 1,w))) = K(x,L(y \ 1,u,u \ 1) * z). [para(445(a,1),17950(a,1,2,2,2,1,1))]. 17952 K(x,(y \ 1) * (z * T(a(y,u,u \ 1) \ 1,w))) = K(x,L(y \ 1,u,u \ 1) * z). [para(3955(a,1),17951(a,1,2,2,2,1,1))]. 17953 K(x,(y \ 1) * (z * T(a(u,u \ 1,y),w))) = K(x,L(y \ 1,u,u \ 1) * z). [para(7069(a,1),17952(a,1,2,2,2,1))]. 17954 K(x,(y \ 1) * (z * a(u,u \ 1,y))) = K(x,L(y \ 1,u,u \ 1) * z). [hyper(58,a,12442,a(flip),b,17953,a)]. 17955 K(x,y \ (z * a(u,u \ 1,y))) = K(x,L(y \ 1,u,u \ 1) * z). [hyper(10625,a,17954,a)]. 17956 K(x,y \ (z * a(u,u \ 1,y))) = K(x,(u * ((y * u) \ 1)) * z). [para(7043(a,1),17955(a,2,2,1))]. 17957 K(x,y \ (z * a(u,u \ 1,y))) = K(x,L(y,u,u \ 1) \ z). [hyper(280,a,10621,a(flip),b,17956,a),flip(a)]. 17958 K(x,(y \ z) * a(u,u \ 1,y)) = K(x,L(y,u,u \ 1) \ z). [para(8197(a,1),17957(a,1,2))]. 17959 K(x,(y \ z) * a(u,u,y \ 1)) = K(x,L(y,u,u \ 1) \ z). [para(15823(a,1),17958(a,1,2,2))]. 17960 K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). [hyper(58,a,17097,a(flip),b,17959,a),flip(a)]. 17962 K(x,L(L(y,z,z \ 1) * u,z,y)) = K(x,z \ ((z * y) * u)). [hyper(58,a,15511,a(flip),b,17960,a)]. 17964 K(x,L(y * (z \ 1),z,z \ 1) * (z * u)) = K(x,z \ ((z * y) * u)). [hyper(58,a,16521,a(flip),b,17962,a)]. 17965 K(x,(y * (z \ 1)) * (z * u)) = K(x,z \ ((z * y) * u)). [hyper(58,a,17707,a(flip),b,17964,a)]. 17967 K(x,y \ ((y * z) * u)) = K(x,(z / y) * (y * u)). [hyper(58,a,17143,a(flip),b,17965,a),flip(a)]. 17968 K(x,K(y,z * u)) * K(y,(z / x) * (x * u)) = K(y,((x * z) * u) / x). [para(17967(a,1),7766(a,1,2))]. 17969 K(x,((y * z) * u) / y) = K(x,y * (z * (u / y))). [hyper(58,a,17800,a(flip),b,17968,a),flip(a)]. 17970 K(x,L(T(y * z,u),u,y)) = K(x,u * (y * (z / u))). [hyper(58,a,17128,a,b,17969,a)]. 17971 K(x,y * (z * (T(u,z) / y))) = K(x,y \ (u * (z * y))). [hyper(58,a,13839,a(flip),b,17969,a),flip(a)]. 17972 K(x,(T((y \ 1) \ z,u) * w) / (T((y \ 1) \ z,u) * (y \ 1))) = K(x,z * (y * (w / z))). [hyper(58,a,16055,a,b,17970,a)]. 17973 K(x,((y / z) * u) / ((y / z) * (z \ 1))) = K(x,y * (z * (u / y))). [hyper(58,a,15237,a,b,17970,a)]. 17974 K(x,((y \ 1) * (z / y)) \ (u * (z / y))) = K(x,z * (y * (T(u,y \ 1) / z))). [hyper(58,a,17857,a(flip),b,17973,a)]. 17975 K(x,((y \ z) * u) * (z \ (T(z,w) \ y))) = K(u \ T(z,w),L(T(x,y),y,z)). [hyper(17690,a,17948,a),flip(a)]. 17977 K(x \ T(y,x),L(T(z,u),u,y)) = K(z,(y \ (y \ u)) * (x * (y / u))). [hyper(58,a,17875,a(flip),b,17975,a),flip(a)]. 17978 K(x,(y \ (y \ z)) * (u * (y / z))) = K(y / u,L(T(x,z),z,y)). [hyper(5694,a,17977,a),flip(a)]. 17979 K(x,(y \ (z / y)) * (u * (z \ y))) = K(y / u,L(T(x,z),z,y)). [hyper(58,a,17874,a,b,17978,a)]. 17980 K(x,L((y * ((z \ y) \ u)) / w,u * (y \ z),w)) = K(x,T(y,z) * (((y / z) \ u) / w)). [hyper(280,a,11963,a(flip),b,17949,a),flip(a)]. 17981 K(x,T(y,z) * (((y / z) \ u) / w)) = K(x,y * (((z \ y) \ u) / w)). [hyper(58,a,17805,a(flip),b,17980,a),flip(a)]. 17982 K(x,(y * z) * ((z \ u) / y)) = K(x,z * (((y \ z) \ u) / y)). [hyper(58,a,17927,a(flip),b,17981,a)]. 17983 K(x,L(T(T(y,z),z * u),z,u)) = K(x,z * (((u \ z) \ y) / u)). [hyper(17729,a,17982,a)]. 17984 K(x,L(T(T(y,z),u * z),z,L(u,w,v5))) = K(x,L(z,w,v5) * (((u \ L(z,w,v5)) \ y) / u)). [hyper(58,a,17719,a,b,17982,a)]. 17985 K(x,y * (((z \ y) \ u) / z)) = (z * (K(x,u) * y)) / (z * y). [hyper(58,a,17725,a(flip),b,17982,a),flip(a)]. 17986 x * K(y,x * (((z \ x) \ u) / z)) = ((x / z) * K(y,u)) * z. [para(17982(a,1),17893(a,1,2))]. 17987 a(x,y,K(z,z * u)) * K(y,K(x * z,u) * L(u,z,x)) = K(y,x * ((z * u) / (x * z))). [para(13404(a,1),17780(a,1,1))]. 17988 a(x,y,K(z,u)) * K(y,K(x * z,u) * L(u,z,x)) = K(y,x * ((z * u) / (x * z))). [para(2989(a,1),17987(a,1,1,3))]. 17989 a(x,y,K(z,u)) * K(y,L(T(u,x * z),z,x)) = K(y,x * ((z * u) / (x * z))). [para(13768(a,1),17988(a,1,2))]. 17990 L(K(x,T(y,z * u)) * a(z,x,K(u,y)),u,z) = K(x,z * ((u * y) / (z * u))). [hyper(58,a,16620,a,b,17989,a)]. 17991 L(T(K(x,y) * a(z,x,K(u,y)),z * u),u,z) = K(x,z * ((u * y) / (z * u))). [para(13581(a,2),17990(a,1,1))]. 17992 L(T(K(x,L(y,z,u)),u * z),z,u) = K(x,u * ((z * y) / (u * z))). [para(14494(a,1),17991(a,1,1,1))]. 17993 L(K(x,L(T(y,z * u),u,z)),u,z) = K(x,z * ((u * y) / (z * u))). [para(3646(a,2),17992(a,1,1))]. 17994 K(x,L(L(T(y,z * u),u,z),u,z)) = K(x,z * ((u * y) / (z * u))). [hyper(9433,a,17993,a)]. 17995 K(x,L(T(y,z * u),u,z * z)) = K(x,z * ((u * y) / (z * u))). [hyper(16700,a,17994,a)]. 17996 K(x * (y / (x * (y * z))),u) = K(u,x * ((y * z) / (x * y))). [hyper(58,a,17832,a(flip),b,17995,a)]. 17997 K(x,L(y,z,z \ 1) * (((z \ 1) \ u) / (y * z))) = K(x,((y * z) \ z) * ((z \ u) * (y * z))). [hyper(280,a,17902,a(flip),b,17900,a),flip(a)]. 17998 K(x,L(y,z,z \ 1) * (((z \ 1) \ u) / (y * z))) = K(x,(z \ (y \ z)) * ((z \ u) * (y * z))). [para(479(a,1),17997(a,2,2,1))]. 17999 K(x,L(y,z,z \ 1) * (((z \ 1) \ u) / (y * z))) = K(x,T(y,z) \ ((z \ u) * (y * z))). [hyper(280,a,17136,a(flip),b,17998,a),flip(a)]. 18000 K(x,K(y,z / u)) * K(y,x * ((u \ K(u,z)) \ (z / x))) = K(y,((u \ K(u,z)) \ (z / x)) * x). [para(8806(a,1),17842(a,1,1))]. 18001 K(x,K(y,z * u)) * K(y,x * ((u \ K(u,z)) \ (z / x))) = K(y,((u \ K(u,z)) \ (z / x)) * x). [para(12485(a,1),18000(a,1,1))]. 18002 K(x,K(y,z * u)) * K(y,x * ((K(u,z) \ u) * (z / x))) = K(y,((u \ K(u,z)) \ (z / x)) * x). [para(17793(a,1),18001(a,1,2))]. 18003 K(x,K(y,z * u)) * K(y,x * ((K(z,u) * u) * (z / x))) = K(y,((u \ K(u,z)) \ (z / x)) * x). [para(4271(a,1),18002(a,1,2,2,2,1))]. 18004 K(x,K(y,z * u)) * K(y,x * (T(u,z \ u) * (z / x))) = K(y,((u \ K(u,z)) \ (z / x)) * x). [para(2848(a,2),18003(a,1,2,2,2,1))]. 18005 K(x,K(y,z * u)) * K(y,x * (u * (K(z,u) * (z / x)))) = K(y,((u \ K(u,z)) \ (z / x)) * x). [para(4075(a,1),18004(a,1,2,2,2))]. 18006 K(x,K(y,z * u)) * K(y,x * (u * (T(z,u) / x))) = K(y,((u \ K(u,z)) \ (z / x)) * x). [para(10770(a,1),18005(a,1,2,2,2,2))]. 18007 K(x,K(y,z * u)) * K(y,x \ (z * (u * x))) = K(y,((u \ K(u,z)) \ (z / x)) * x). [para(17971(a,1),18006(a,1,2))]. 18008 K(x,((y \ K(y,z)) \ (z / u)) * u) = K(x,(z * (y * u)) / u). [hyper(58,a,5908,a(flip),b,18007,a),flip(a)]. 18009 K(x,((K(y,z) \ y) * (z / u)) * u) = K(x,(z * (y * u)) / u). [hyper(58,a,17834,a(flip),b,18008,a)]. 18010 K(x,((K(y,z) * z) * (y / u)) * u) = K(x,(y * (z * u)) / u). [para(4271(a,1),18009(a,1,2,1,1))]. 18011 K(x,(T(y,z \ y) * (z / u)) * u) = K(x,(z * (y * u)) / u). [para(2848(a,2),18010(a,1,2,1,1))]. 18012 K(x,(y * (K(z,y) * (z / u))) * u) = K(x,(z * (y * u)) / u). [para(4075(a,1),18011(a,1,2,1))]. 18013 K(x,(y * (T(z,y) / u)) * u) = K(x,(z * (y * u)) / u). [para(10770(a,1),18012(a,1,2,1,2))]. 18014 K(x,(y / z) * (z * T(u,y))) = K(x,(u * (y * z)) / z). [hyper(58,a,17799,a(flip),b,18013,a)]. 18015 K(x,(y * (z * u)) / u) = K(x,(y * u) * (u \ z)). [para(11140(a,1),18014(a,1,2)),flip(a)]. 18016 K(x,(y * (z * u)) / u) = K(x,u * ((u \ y) * z)). [hyper(280,a,17795,a(flip),b,18015,a),flip(a)]. 18017 K(x,y * ((y \ z) * u)) * K(x,K(y,z * u)) = K(x,y \ (z * (u * y))). [para(18016(a,1),6502(a,1,1))]. 18018 K(x,y \ (z * (u * y))) = K(x,((y \ z) * u) * y). [hyper(58,a,11405,a(flip),b,18017,a),flip(a)]. 18019 K(x,T(y,z) \ (u * (y * z))) = K(x,((y \ u) * z) * y). [hyper(58,a,12809,a,b,18018,a)]. 18020 K(x,L(y,z,z \ 1) * (((z \ 1) \ u) / (y * z))) = K(x,((y \ (z \ u)) * z) * y). [hyper(58,a,17999,a,b,18019,a)]. 18021 K(x,L(y,z,z \ 1) * ((z * u) / (y * z))) = K(x,((y \ (z \ u)) * z) * y). [hyper(58,a,17722,a(flip),b,18020,a)]. 18022 K(x,((y \ (z \ u)) * z) * y) = K(x,y * ((z * u) / (y * z))). [hyper(58,a,17707,a(flip),b,18021,a),flip(a)]. 18024 K(x,((y \ 1) * (z / y)) * (((y \ 1) \ u) / (y \ z))) = K(x,((y \ z) \ y) * ((y \ u) * (y \ z))). [hyper(280,a,17902,a(flip),b,17898,a),flip(a)]. 18025 K(x,((y \ 1) * (z / y)) * (((y \ 1) \ u) / (y \ z))) = K(x,((z \ y) * y) * ((y \ u) * (y \ z))). [hyper(280,a,17834,a(flip),b,18024,a),flip(a)]. 18026 K(x,((y \ 1) * (z / y)) * (((y \ 1) \ u) / (y \ z))) = K(x,((y \ z) * (u / z)) * y). [hyper(280,a,17896,a(flip),b,18025,a),flip(a)]. 18027 K(x,((y \ 1) * (z / y)) * (((y \ 1) \ u) * (z \ y))) = K(x,((y \ z) * (u / z)) * y). [hyper(58,a,17786,a(flip),b,18026,a)]. 18028 K(x,((y \ 1) * (z / y)) * ((y * u) * (z \ y))) = K(x,((y \ z) * (u / z)) * y). [hyper(58,a,17796,a(flip),b,18027,a)]. 18029 K(x,(y \ (z / y)) * ((y * u) * (z \ y))) = K(x,((y \ z) * (u / z)) * y). [hyper(58,a,17708,a(flip),b,18028,a)]. 18030 K(x / (x * y),L(T(z,u),u,x)) = K(z,((x \ u) * (y / u)) * x). [hyper(58,a,17979,a(flip),b,18029,a)]. 18031 K(x,((y \ z) * (u / z)) * y) = K(T(x,z),L(T(u,y),z,y)). [hyper(9595,a,18030,a),flip(a)]. 18032 K(x,((y \ z) * (u / z)) * y) = K(x,T(L(T(u,y),z,y),z)). [hyper(280,a,3638,a(flip),b,18031,a),flip(a)]. 18033 K(x,((y \ z) * (u / z)) * y) = K(x,L(T(T(u,y),z),z,y)). [para(20(a,2),18032(a,2,2))]. 18034 K(x,(y * (z \ y)) * ((y \ u) * (z / y))) = K(x,L(T(T(u,y),z),z,y)). [hyper(58,a,17941,a,b,18033,a)]. 18035 K(x,(y \ (z / (L(u,w,K(v5,v6)) / y))) * u) = K(x,(y * u) * ((L(u,w,K(v5,v6)) \ z) / y)). [hyper(58,a,14284,a(flip),b,17885,a),flip(a)]. 18036 K(x,(y * L(z,u,K(w,v5))) * ((z \ (L(z,u,K(v5,w)) / v6)) / y)) = K(x,(y \ ((z / v6) / (L(z,u,K(w,v5)) / y))) * z). [para(11827(a,1),17885(a,1,2,2,1))]. 18038 ((x \ y) \ 1) * ((y \ (y / x)) * L((y \ (y / x)) \ (x \ y),z,u)) = a(u,z,x * ((y * x) \ 1)). [para(378(a,1),17255(a,1,2,2,1,2))]. 18039 ((x \ y) \ 1) * ((y \ (y / x)) * L(x * T(y / x,y),z,u)) = a(u,z,x * ((y * x) \ 1)). [para(10978(a,1),18038(a,1,2,2,1))]. 18040 ((x \ y) \ 1) * ((y \ (y / x)) * L(x * (x \ y),z,u)) = a(u,z,x * ((y * x) \ 1)). [para(375(a,1),18039(a,1,2,2,1,2))]. 18041 ((x \ y) \ 1) * ((y \ (y / x)) * L(y,z,u)) = a(u,z,x * ((y * x) \ 1)). [para(5(a,1),18040(a,1,2,2,1))]. 18042 ((x \ L(y,K(z,u),w)) \ 1) * ((L(y,K(z,u),w) \ (L(y,K(z,u),w) / x)) * y) = a(w,K(u,z),x * ((L(y,K(z,u),w) * x) \ 1)). [para(17322(a,1),18041(a,1,2,2))]. 18043 x * L(L(y,K(z,u),w) \ y,L(y,K(z,u),w),x) = (x / L(y,K(z,u),w)) * y. [para(17322(a,1),17324(a,1,2)),flip(a)]. 18044 x * L(L(y,K(z,u),w) \ y,L(y,K(z,u),w),x) = y * (L(y,K(z,u),w) \ x). [hyper(280,a,14549,a(flip),b,18043,a),flip(a)]. 18045 x * L(a(y,K(z,u),w),L(w,K(z,u),y),x) = w * (L(w,K(z,u),y) \ x). [para(16763(a,1),18044(a,1,2,1))]. 18046 x * a(y,K(z,u),L(w,L(w,K(z,u),y),x)) = w * (L(w,K(z,u),y) \ x). [para(17244(a,2),18045(a,1,2))]. 18047 K(x,L(L(y,z,(u * w) \ (v5 * w)),w \ (u \ (v5 * w)),z)) = K(x,L(y,z,a(w \ ((v5 * w) / u),w,v5))). [para(1410(a,1),17409(a,1,2,1,3))]. 18048 K(x,L(y,z,a(u \ (w \ (v5 * u)),u,w))) = K(x,L(y,z,a(u \ ((v5 * u) / w),u,v5))). [hyper(58,a,16752,a(flip),b,18047,a)]. 18049 K(x,L(y,z,a(u \ (w \ (v5 * u)),u,v5))) = K(x,L(y,z,a(u \ (w \ (v5 * u)),u,w))). [para(17407(a,1),18048(a,2,2,3)),flip(a)]. 18050 K(x,L(y,z,a(u \ (w \ (v5 * u)),u,w))) = K(x,L(y,z,a(v5,u,u \ ((u * v5) * w)))). [para(17410(a,1),18049(a,1,2,3)),flip(a)]. 18051 K(x,L(y,z,a(u,w,w \ ((w * u) * v5)))) = K(x,L(y,z,a(w,v5,v5 \ (u * w)))). [hyper(58,a,17038,a(flip),b,18050,a),flip(a)]. 18052 K(x,L(y,z,a(u,w,w \ ((w * u) * v5)))) = K(x,L(y,z,a(w,v5,v5 \ u))). [para(17418(a,1),18051(a,2,2,3))]. 18053 K(x,L(y,z,a(u,w,w \ v5))) = K(x,L(y,z,a(v5,u,w))). [para(17411(a,1),18052(a,1,2,3)),flip(a)]. 18054 K(x,L(y,z \ u,a(w,z,v5))) = K(x,L(y,w,a(u,v5,z))). [hyper(58,a,17341,a,b,18053,a)]. 18055 K(x,L(y,z,a(u,u \ w,v5))) = K(x,y) * a(x,z,a(v5,y,K(u,w))). [hyper(58,a,16847,a(flip),b,18053,a),flip(a)]. 18056 K(x,L(y,z,a(u,u \ w,v5))) = K(x,L(y,z,a(w,v5,u))). [hyper(58,a,17256,a,b,18054,a)]. 18057 K(x,y) * a(x,z,a(u,y,K(w,v5))) = K(x,L(y,z,a(v5,u,w))). [hyper(58,a,18056,a(flip),b,18055,a),flip(a)]. 18058 K(x,L(y,z,u)) * a(x,w,a(v5,y,K(v6,u))) = L(K(x,L(y,w,a(u,v5,v6))),z,u). [para(18057(a,1),16631(a,1,1)),flip(a)]. 18059 K(x,L(y,z,u)) * a(x,w,a(v5,y,K(z,u))) = K(x,L(y,z,L(u,w,v5))). [hyper(280,a,16867,a(flip),b,18058,a),flip(a)]. 18060 K(x,L(y,z * u,z * z)) * a(x,w,a(v5,y,K(u,z * z))) = K(x,L(y,z * u,L(z * z,w,v5))). [para(15005(a,1),18059(a,1,2,3,3))]. 18061 K(x,L(y,z,u * u)) * a(x,w,a(v5,y,K(z,u * u))) = K(x,L(y,u * z,L(u * u,w,v5))). [para(15007(a,1),18060(a,1,1))]. 18062 K(x,L(y,z * u,L(z * z,w,v5))) = K(x,L(y,u,L(z * z,w,v5))). [hyper(58,a,18059,a(flip),b,18061,a),flip(a)]. 18063 K(x * (L(x * y,z,u) / (x * (L(x * y,z,u) * w))),v5) = K(v5,L(T(w,x * L(x * y,z,u)),y,L(x * x,z,u))). [hyper(58,a,17833,a(flip),b,18062,a)]. 18064 K(T(x,y * (z * u)),L(T(z,u),z \ u,y)) = K(x,(y * u) / (y * (z \ L(u,w,K(v5,v6))))). [hyper(58,a,17700,a(flip),b,17688,a)]. 18065 K(T(x,y * (z * u)),L(T(z,u),u,y)) = K(x,(y * u) / (y * (z \ L(u,w,K(v5,v6))))). [hyper(58,a,14677,a(flip),b,18064,a)]. 18066 K(x,T(L(T(y,z),z,u),u * (y * z))) = K(x,(u * z) / (u * (y \ L(z,w,K(v5,v6))))). [hyper(4739,a,18065,a)]. 18067 K(x,L(T(T(y,z),u * (y * z)),z,u)) = K(x,(u * z) / (u * (y \ L(z,w,K(v5,v6))))). [para(20(a,2),18066(a,1,2))]. 18068 K(x,L(T(T(y,z * u),u),u,z)) = K(x,(z * u) / (z * (y \ L(u,w,K(v5,v6))))). [para(4161(a,1),18067(a,1,2,1))]. 18069 K(x,L(T(T(y,z),u * z),z,u)) = K(x,(u * z) / (u * (y \ L(z,w,K(v5,v6))))). [para(18(a,1),18068(a,1,2,1))]. 18070 K(x,(y * z) / (y * (u \ L(z,w,K(v5,v6))))) = K(u,(z * y) \ ((z / x) * y)). [hyper(58,a,17855,a(flip),b,18069,a),flip(a)]. 18071 K(x,(y * z) * ((L(z,u,K(w,v5)) \ v6) / y)) = K(v6,(z * y) \ ((z / x) * y)). [hyper(58,a,17718,a(flip),b,18070,a)]. 18072 K(x,(y \ (z / (L(u,w,K(v5,v6)) / y))) * u) = K(z,(u * y) \ ((u / x) * y)). [hyper(58,a,18035,a,b,18071,a)]. 18074 (R(x,K(y,z),K(z,y) * u) * K(z,y)) * (K(y * y,z) * ((x * K(y,z)) \ u)) = L(u,K(z,y),(x * K(y,z)) \ u). [para(4271(a,1),17595(a,1,1,1,3))]. 18075 (L(x,K(y,z),K(z,y) * u) * K(z,y)) * (K(y * y,z) * ((x * K(y,z)) \ u)) = L(u,K(z,y),(x * K(y,z)) \ u). [para(11082(a,1),18074(a,1,1,1))]. 18076 (L(x,K(y,z),u) * K(z,y)) * (K(y * y,z) * ((x * K(y,z)) \ u)) = L(u,K(z,y),(x * K(y,z)) \ u). [para(17299(a,1),18075(a,1,1,1))]. 18077 L(x * K(y,z),K(z,y),u) * (K(z * z,y) * ((x * K(z,y)) \ u)) = L(u,K(y,z),(x * K(z,y)) \ u). [para(17296(a,2),18076(a,1,1))]. 18079 L(x * K(y,z),K(z,y),u) * (K(z * z,y) * ((x * K(z,y)) \ u)) = L(u,K(z,y),x * K(z,y)). [hyper(280,a,17364,a(flip),b,18077,a),flip(a)]. 18080 L(x * K(y,z),K(z,y),u) * (K(z * z,y) * ((x * K(z,y)) \ u)) = L(u,K(z,y),x). [hyper(280,a,17290,a(flip),b,18079,a),flip(a)]. 18081 K(x,(y * L(z,u,K(w,v5))) * ((z \ (L(z,u,K(v5,w)) / v6)) / y)) = K(z / v6,(z * y) \ ((z / x) * y)). [hyper(280,a,18072,a(flip),b,18036,a),flip(a)]. 18083 K(x / y,(x * z) \ ((x / u) * z)) = K(u,(z * L(x,w,K(v5,v6))) / (z * y)). [hyper(58,a,17920,a(flip),b,18081,a),flip(a)]. 18085 K(x / y,(x * z) \ ((x / u) * z)) = K(u,(z * x) / (z * y)). [hyper(280,a,14976,a(flip),b,18083,a),flip(a)]. 18086 K(x * (L(x * y,z,u) / (x * (L(x * y,z,u) * w))),v5) = K(v5,L(T(w,x * (x * y)),y,L(x * x,z,u))). [hyper(280,a,17678,a(flip),b,18063,a),flip(a)]. 18088 K(x * (L(x * y,z,u) / (x * (L(x * y,z,u) * w))),v5) != v6 | K(v5,L(T(w,y),y,L(x * x,z,u))) = v6. [para(18086(a,2),17691(a,1))]. 18089 L(x,y,y \ 1) * ((L(x,y,y \ 1) \ L(L(x,y,y \ 1),y,y)) * z) = a(x,y,y) * (L(x,y,y \ 1) * z). [para(16961(a,1),16994(a,2,1))]. 18090 T(x,a(y,z,z) * (L(y,z,z \ 1) * u)) = T(x,L(L(y,z,z \ 1),z,z) * u). [para(18089(a,1),16544(a,1,2))]. 18091 T(x,a(y,z,z) * (L(y,z,z \ 1) * u)) = T(x,y * u). [para(16989(a,1),18090(a,2,2,1))]. 18092 T(x,L(y,z,z \ 1) * u) = T(x,y * u). [hyper(16966,a,18091,a)]. 18093 T(x,(y * (z \ 1)) * u) = T(x,(y / z) * u). [para(3950(a,1),18092(a,1,2,1))]. 18094 T(T(x,y / z),z * z) = T(x,(z / x) * y). [hyper(58,a,14188,a,b,18093,a)]. 18095 T(T(x,y / z),z * z) = T(x,z * y). [hyper(280,a,4188,a(flip),b,18094,a),flip(a)]. 18096 T(T(x,y),z * z) = T(x,z * (y * z)). [para(6(a,1),18095(a,1,1,2))]. 18097 T(T(x,y * y),z) = T(x,y * (z * y)). [hyper(3162,a,18096,a)]. 18098 x * (x * T(x * x,y * (z * y))) = T(x * (x * T(x * x,z)),y). [para(18097(a,1),17618(a,1,2,2))]. 18099 T(x * (x * T(x * x,y * y)),z) = T(x * (x * (x * x)),z * y). [hyper(17627,a,18098,a),flip(a)]. 18100 a(K(x,K(y,z)) * (K(x,T(y,z)) \ (u * T(w,K(x,y)))),K(x,T(y,z)),w * K(y,x)) = a(u,K(x,T(y,z)),w * K(y,x)). [para(13660(a,1),17056(a,1,1))]. 18101 L(x * T(x,y * y),x,T(x,y * y)) * L(T(x * x,y),x,T(x,y * y)) = T(x,y * y) * ((x * x) * T(x,y * y)). [para(228(a,1),17478(a,1,1,1))]. 18102 a(K(x,K(y,z)) * (K(T(y,z),x) * (u * T(w,K(x,y)))),K(x,T(y,z)),w * K(y,x)) = a(u,K(x,T(y,z)),w * K(y,x)). [para(4271(a,1),18100(a,1,1,2))]. 18103 L(T(x * x,y),x,T(x,y * y)) * L(T(x * x,y),x,T(x,y * y)) = T(x,y * y) * ((x * x) * T(x,y * y)). [para(11055(a,1),18101(a,1,1,1))]. 18104 L(T(x * x,y),x,x) * L(T(x * x,y),x,T(x,y * y)) = T(x,y * y) * ((x * x) * T(x,y * y)). [para(15284(a,1),18103(a,1,1))]. 18106 T((x \ 1) \ x,y) * L(T(x * x,y),x,T(x,y * y)) = T(x,y * y) * ((x * x) * T(x,y * y)). [para(16992(a,1),18104(a,1,1))]. 18107 T((1 \ x) * x,y) * L(T(x * x,y),x,T(x,y * y)) = T(x,y * y) * ((x * x) * T(x,y * y)). [para(1068(a,1),18106(a,1,1,1))]. 18108 T(x * x,y) * L(T(x * x,y),x,T(x,y * y)) = T(x,y * y) * ((x * x) * T(x,y * y)). [para(60(a,1),18107(a,1,1,1,1))]. 18109 T(x * x,y) * L(T(x * x,y),x,x) = T(x,y * y) * ((x * x) * T(x,y * y)). [para(15284(a,1),18108(a,1,2))]. 18111 T(x,y * y) * ((x * x) * T(x,y * y)) = T(x * x,y) * T((x \ 1) \ x,y). [para(16992(a,1),18109(a,1,2)),flip(a)]. 18112 T(x,y * y) * ((x * x) * T(x,y * y)) = T(x * x,y) * T((1 \ x) * x,y). [para(1068(a,1),18111(a,2,2,1))]. 18113 T(x,y * y) * ((x * x) * T(x,y * y)) = T(x * x,y) * T(x * x,y). [para(60(a,1),18112(a,2,2,1,1))]. 18114 T(x,y * y) * ((x * x) * T(x,y * y)) = T((x * x) * (x * x),y). [hyper(280,a,11016,a(flip),b,18113,a),flip(a)]. 18115 T(x,y * y) * ((x * x) * T(x,y * y)) = T(x * (x * (x * x)),y). [para(7123(a,1),18114(a,2,1))]. 18116 T(x,y * y) * (x * (x * T(x,y * y))) = T(x * (x * (x * x)),y). [para(891(a,1),18115(a,1,2))]. 18117 T(x,y * y) * (x * T(x * x,y)) = T(x * (x * (x * x)),y). [para(11055(a,1),18116(a,1,2,2))]. 18118 x * (T(x,y * y) * T(x * x,y)) = T(x * (x * (x * x)),y). [hyper(1641,a,18117,a)]. 18119 x * (T(x,y) * T(x * T(x,y),y)) = T(x * (x * (x * x)),y). [hyper(58,a,14302,a(flip),b,18118,a)]. 18120 a(x * (T(T(x,K(y,z)),T(y,z)) \ (u * T(w,K(x,y)))),K(x,T(y,z)),w * K(y,x)) = a(u,K(x,T(y,z)),w * K(y,x)). [para(12209(a,1),18102(a,1,1))]. 18121 a(x * (T(x,y) \ (z * T(u,K(x,y)))),K(x,T(y,w)),u * K(y,x)) = a(z,K(x,T(y,w)),u * K(y,x)). [para(5759(a,1),18120(a,1,1,2,1))]. 18122 a(K(x,y) * (z * T(u,K(y,x))),K(y,T(x,w)),u * K(x,y)) = a(z,K(y,T(x,w)),u * K(x,y)). [para(4296(a,1),18121(a,1,1))]. 18124 a(x * K(y,z),K(y,z),K(y,z) * (u * T(x,K(z,y)))) = a(u,K(z,T(y,w)),x * K(y,z)). [hyper(16159,a,18122,a)]. 18126 a(x * K(y,z),K(y,z),K(y,z) * (u * x)) = a(u,K(z,T(y,w)),x * K(y,z)). [hyper(58,a,14235,a(flip),b,18124,a)]. 18128 a(x,K(y,T(z,u)),w * K(z,y)) = a(w,K(z,y),(K(z,y) * (x * w)) * K(y,z)). [hyper(58,a,17351,a(flip),b,18126,a),flip(a)]. 18129 a(x,K(y,T(z,u)),w * K(z,y)) = a(w,K(z,y),T(x * w,K(z,y))). [para(5357(a,1),18128(a,2,3))]. 18130 a(x,K(y,T(z,u)),w * K(z,y)) = a(w,K(z,y),x * w). [hyper(280,a,16909,a(flip),b,18129,a),flip(a)]. 18131 a(x * K(y,z),K(y,z),u) = a(x,K(y,z),u * x). [hyper(16159,a,18130,a)]. 18133 a(x,K(y,z),u * K(z,y)) = a(x,K(y,z),u * x). [hyper(58,a,17351,a(flip),b,18131,a)]. 18134 a(x,K(y,z),u * K(z,y)) = a(u,K(z,y),x). [hyper(280,a,17370,a(flip),b,18133,a),flip(a)]. 18135 a(x \ (x / y),K(z,u),w) = a(w,K(u,z),L(y \ 1,y,x) * K(z,u)). [hyper(280,a,2688,a(flip),b,18134,a)]. 18136 a(x \ (x / y),K(z,u),w) = a(w,K(u,z),L(y,y,x) \ K(z,u)). [para(15913(a,1),18135(a,2,3))]. 18137 a(L(x,x,y),K(z,u),w) = a(y \ (y / x),K(u,z),w). [hyper(280,a,17376,a(flip),b,18136,a)]. 18138 a(x \ (x / y),K(z,u),w) = a(y,K(u,z),L(w,y,x)). [hyper(58,a,17337,a(flip),b,18137,a),flip(a)]. 18139 K(T(x,y * z),L(T(z * u,L(z,w,v5)),z,L(y,w,v5))) = K(x,(y * (z * (u * L(z,w,v5)))) / (y * L(z,w,v5))). [hyper(9549,a,17680,a)]. 18141 K(T(x,y * z),L(L(u * z,w,K(z,v5)),z,L(y,v5,w))) = K(x,(y * (z * (u * L(z,v5,w)))) / (y * L(z,v5,w))). [para(14582(a,2),18139(a,1,2,1))]. 18142 K(x,(y * (z * (u * L(z,w,v5)))) / (y * L(z,w,v5))) = K(T(x,y * z),L(u * z,z,L(y,w,v5))). [hyper(13243,a,18141,a),flip(a)]. 18143 K(x,(y * (z * (u * L(z,w,v5)))) / (y * L(z,w,v5))) = K(x,T(L(u * z,z,L(y,w,v5)),y * z)). [hyper(280,a,3638,a(flip),b,18142,a),flip(a)]. 18144 K(x,(y * (z * (u * L(z,w,v5)))) / (y * L(z,w,v5))) = K(x,L(T(u * z,y * z),z,L(y,w,v5))). [para(20(a,2),18143(a,2,2))]. 18145 K(x,(y \ T(y * z,u)) \ (w * T((y \ 1) \ z,u))) = K(x,z * (y * (T(w,y \ 1) / z))). [hyper(58,a,17972,a(flip),b,17861,a),flip(a)]. 18147 K(x,(y \ T(y * z,u)) \ (w * T(y * z,u))) = K(x,z * (y * (T(w,y \ 1) / z))). [hyper(58,a,17908,a(flip),b,18145,a)]. 18148 K(x,(T(y * z,u) \ y) * (w * T(y * z,u))) = K(x,z * (y * (T(w,y \ 1) / z))). [hyper(58,a,17135,a(flip),b,18147,a)]. 18149 K(x,((y * z) \ y) * (u * (y * z))) = K(x,z * (y * (T(u,y \ 1) / z))). [hyper(58,a,14832,a(flip),b,18148,a)]. 18150 K(x,(y \ (y / z)) * (u * (y * z))) = K(x,z * (y * (T(u,y \ 1) / z))). [para(304(a,1),18149(a,1,2,1))]. 18151 K(x,y * (z * (T(u,z \ 1) / y))) = K(x,y \ (u * (z * y))). [hyper(58,a,17133,a(flip),b,18150,a),flip(a)]. 18153 K(x,y * (z * (T(u,z \ 1) / y))) = K(x,((y \ u) * z) * y). [hyper(280,a,18018,a(flip),b,18151,a),flip(a)]. 18154 K(x,((y \ 1) * (z / y)) \ (u * (z / y))) = K(x,((z \ u) * y) * z). [hyper(58,a,17974,a,b,18153,a)]. 18155 K(x,((y / z) / (y \ 1)) * (u * (z / y))) = K(x,((z \ u) * y) * z). [hyper(58,a,17579,a(flip),b,18154,a)]. 18156 K(x,((y \ 1) \ (z \ y)) * (u * (z / y))) = K(x,((z \ u) * y) * z). [para(3539(a,1),18155(a,1,2,1))]. 18157 K(x,(y * (z \ y)) * (u * (z / y))) = K(x,((z \ u) * y) * z). [hyper(58,a,17711,a(flip),b,18156,a)]. 18158 K(x,((y \ (z \ u)) * z) * y) = K(x,L(T(T(u,z),y),y,z)). [hyper(58,a,18034,a(flip),b,18157,a),flip(a)]. 18159 K(x,y * ((z * u) / (y * z))) = K(x,L(T(T(u,z),y),y,z)). [hyper(58,a,18022,a(flip),b,18158,a)]. 18160 K(x * (y / (x * (y * z))),u) = K(u,L(T(T(z,y),x),x,y)). [hyper(58,a,17996,a,b,18159,a)]. 18161 K(x,L(T(T(y,L(z * u,w,v5)),z),z,L(z * u,w,v5))) = K(x,L(T(y,u),u,L(z * z,w,v5))). [hyper(18088,a,18160,a),flip(a)]. 18162 K(x,y * ((z / u) / (y * z))) = K(u,L(T(T(x,z),y),y,z)). [hyper(58,a,17936,a(flip),b,18160,a)]. 18163 K(x,L(T(T(y,z),L(z * u,w,v5)),z,L(z * u,w,v5))) = K(x,L(T(y,u),u,L(z * z,w,v5))). [para(18(a,1),18161(a,1,2,1))]. 18164 K(x,L(T(T(y,z),L(z * u,w,v5)),z,L(u,w,v5))) = K(x,L(T(y,u),u,L(z * z,w,v5))). [hyper(58,a,15014,a(flip),b,18163,a)]. 18165 K(x,L(T(T(y,z),z * u),z,L(u,w,v5))) = K(x,L(T(y,u),u,L(z * z,w,v5))). [hyper(13543,a,18164,a)]. 18167 x * (T(x,y * y) * T(x * T(x,y * y),z * z)) = 1 \ T(T(x * x,y) * (x * T(x,y * y)),z). [para(887(a,1),17357(a,1,1)),flip(a)]. 18169 x * (T(x,y * y) * T(x * T(x,y * y),z * z)) = 1 \ T(T(x * x,y) * T(x * x,y),z). [para(11055(a,1),18167(a,2,2,1,2))]. 18170 x * (T(x,y * y) * T(x * T(x,y * y),z * z)) = 1 \ T(T((x * x) * (x * x),y),z). [para(11016(a,1),18169(a,2,2,1))]. 18171 x * (T(x,y * y) * T(x * T(x,y * y),z * z)) = 1 \ T(T(x * (x * (x * x)),y),z). [para(7123(a,1),18170(a,2,2,1,1))]. 18172 x * (T(x,y * y) * T(x * T(x,y * y),z * z)) = T(T(x * (x * (x * x)),y),z). [hyper(280,a,60,a(flip),b,18171,a),flip(a)]. 18173 x * (T(x,y * y) * T(T(x * x,y),z * z)) = T(T(x * (x * (x * x)),y),z). [para(11055(a,1),18172(a,1,2,2,1))]. 18174 a(x,y,K(z,u)) * (w * ((a(x,y,K(z,u)) * w) \ (v5 \ (w * a(x,y,K(z,u)))))) = a(x,w,a(v5,y,K(z,u))) * (v5 \ (a(z,y,K(u,x)) * w)). [para(10933(a,1),17281(a,1,1)),flip(a)]. 18175 T((x * T(y,K(z,u))) * K(z,T(u,T(y,K(z,u)))),x) * (w / ((x * y) * K(z,u))) = T(K(y * K(z,u),x) * w,K(u,z) * (y \ (x \ 1))). [para(4271(a,1),17562(a,2,2))]. 18176 a(x,y,K(z,u)) * (w * ((a(x,y,K(z,u)) * w) \ (v5 \ (w * a(x,y,K(z,u)))))) = L(v5,w,a(x,u,K(y,z))) \ (a(z,y,K(u,x)) * w). [hyper(280,a,15498,a(flip),b,18174,a),flip(a)]. 18177 T((x * T(y,K(z,u))) * K(z,T(u,T(y,K(z,u)))),x) * (w / ((x * y) * K(z,u))) = T(K(y * K(z,u),x) * w,K(u,z) / (x * y)). [hyper(280,a,16554,a(flip),b,18175,a),flip(a)]. 18178 T((x * T(y,K(z,u))) * K(z,T(u,T(y,K(z,u)))),x) * (w / ((x * y) * K(z,u))) = T(K(y * K(z,u),x) * w,(x * y) \ K(u,z)). [hyper(280,a,12177,a(flip),b,18177,a),flip(a)]. 18179 T((x * T(y,K(z,u))) * K(z,T(u,T(y,K(z,u)))),x) * (w / ((x * y) * K(z,u))) = T(K(y * K(z,u),x) * w,y \ (x \ K(u,z))). [hyper(280,a,15579,a(flip),b,18178,a),flip(a)]. 18180 T((x * T(y,K(z,u))) * K(z,T(u,y)),x) * (w / ((x * y) * K(z,u))) = T(K(y * K(z,u),x) * w,y \ (x \ K(u,z))). [para(4578(a,1),18179(a,1,1,1,2,2))]. 18182 T((x * y) * K(z,u),x) * (w / ((x * y) * K(z,u))) = T(K(y * K(z,u),x) * w,y \ (x \ K(u,z))). [para(4501(a,1),18180(a,1,1,1))]. 18185 T(K(x,(x * y) \ K(z,u)) * w,(x * y) \ K(z,u)) = T(K(y * K(z,u),x) * w,y \ (x \ K(u,z))). [hyper(58,a,15595,a,b,18182,a)]. 18186 T(K(x * K(y,z),u) * w,x \ (u \ K(z,y))) = T(K(u,x \ K(y,z)) * w,(u * x) \ K(y,z)). [para(5174(a,1),18185(a,1,1,1)),flip(a)]. 18187 T(K(x * K(y,z),u) * w,x \ (u \ K(z,y))) = T(K(u,x \ K(y,z)) * w,x \ (u \ K(y,z))). [hyper(280,a,15579,a(flip),b,18186,a),flip(a)]. 18188 T(K(x * K(y,z),u) * w,x \ (u \ K(z,y))) = T(u * w,x \ K(y,z)) / u. [hyper(280,a,15039,a(flip),b,18187,a),flip(a)]. 18189 T(K(x,y) * z,x \ (y \ K(K(u,w),v5))) = T(y * z,x \ K(v5,K(u,w))) / y. [para(12545(a,1),18188(a,1,1,1))]. 18190 T(K(x,y) * z,x \ (y \ K(u,K(w,v5)))) = T(y * z,x \ K(v5,K(u,w))) / y. [para(5254(a,1),18189(a,1,2,2,2))]. 18191 T(K(x,y) * z,x \ (y \ 1)) = T(y * z,x \ K(u,K(w,v5))) / y. [hyper(58,a,13576,a(flip),b,18190,a)]. 18192 T(x * y,z \ K(u,K(w,v5))) / x = z * (x * ((y / z) / x)). [hyper(11223,a,18191,a),flip(a)]. 18194 (x * y) * (z * ((u / (x * y)) / z)) = T(z * u,y \ (x \ 1)) / z. [para(15580(a,1),18192(a,1,1)),flip(a)]. 18195 x * (y * (z * (((u / T(x,y)) / y) / z))) = T(z * u,y \ (x \ 1)) / z. [hyper(58,a,11696,a,b,18194,a)]. 18196 T(x * (y * K(z,u * w)),w \ (u \ 1)) / x = (u * w) * (x * ((y / T(u * w,z)) / x)). [para(4359(a,1),18194(a,1,2,2,1)),flip(a)]. 18197 L(T(x \ 1,y),x,K(z,L(u,w,v5)) * y) = (y * a(z,v5,K(u,w))) \ (x \ (K(u,z) * (K(z,L(u,w,v5)) * y))). [para(13755(a,1),17540(a,1,1))]. 18198 L(T(x \ 1,y),x,y) = (y * a(z,u,K(w,v5))) \ (x \ (K(w,z) * (K(z,L(w,v5,u)) * y))). [hyper(58,a,17537,a(flip),b,18197,a)]. 18201 (x * a(y,z,K(u,w))) \ (v5 \ (K(u,y) * (K(y,L(u,w,z)) * x))) = x \ (v5 \ x). [hyper(58,a,1064,a(flip),b,18198,a),flip(a)]. 18202 (x * a(y,z,K(u,w))) \ (v5 \ (x * a(y,z,K(u,w)))) = x \ (v5 \ x). [para(14444(a,1),18201(a,1,2,2))]. 18203 (a(x,y,K(z,u)) * w) \ (v5 \ (w * a(x,y,K(z,u)))) = w \ (v5 \ w). [hyper(58,a,13286,a,b,18202,a)]. 18204 L(x,y,a(z,u,K(w,v5))) \ (a(v5,w,K(u,z)) * y) = a(z,w,K(v5,u)) * (y * (y \ (x \ y))). [para(18203(a,1),18176(a,1,2,2)),flip(a)]. 18205 L(x,y,a(z,u,K(w,v5))) \ (a(v5,w,K(u,z)) * y) = a(z,w,K(v5,u)) * (x \ y). [hyper(280,a,140,a(flip),b,18204,a),flip(a)]. 18208 ((x * y) \ (a(z,u,K(w,v5)) * x)) * x = a(v5,u,K(z,w)) * (y \ x). [hyper(58,a,15609,a(flip),b,18205,a)]. 18209 L(x,y,a(z,u,K(w,v5))) \ (a(z,u,K(w,v5)) * y) = a(w,u,K(v5,z)) * (x \ y). [hyper(58,a,14414,a,b,18208,a)]. 18210 L(x,y,a(z,u,K(w,v5))) * (x \ (a(w,u,K(v5,z)) * (x \ y))) = x \ (a(z,u,K(w,v5)) * y). [para(18209(a,1),1918(a,1,2,2))]. 18211 a(x,y,a(z,u,K(w,v5))) * (a(u,v5,K(x,w)) * (z \ y)) = z \ (a(w,v5,K(u,x)) * y). [hyper(58,a,15182,a(flip),b,18210,a)]. 18212 K(x,L(L(a(y,z,u) \ 1,w,v5),w * (a(y,z,u) \ 1),v5 * w)) = K(x,v5 * ((w * (a(y,z,u) \ 1)) / L(v5 * w,z,K(y,u)))). [hyper(13330,a,17761,a)]. 18213 K(x,L(L(a(y,z,u) \ 1,w,v5),v5 * w,w \ a(y,z,u))) = K(x,v5 * ((w * (a(y,z,u) \ 1)) / L(v5 * w,z,K(y,u)))). [hyper(14904,a,18212,a)]. 18215 K(a(x,y,z),L(L(u,w * v5,v5 \ a(x,y,z)),v5,w)) = K(u,w * ((v5 * (a(x,y,z) \ 1)) / L(w * v5,y,K(x,z)))). [hyper(58,a,9545,a(flip),b,18213,a)]. 18216 K(a(x,y,z),L(L(u,w,v5),w,v5 * w)) = K(u,v5 * ((w * (a(x,y,z) \ 1)) / L(v5 * w,y,K(x,z)))). [hyper(16677,a,18215,a)]. 18217 K(x,y * ((z * (a(u,w,v5) \ 1)) / L(y * z,w,K(u,v5)))) = K(a(u,w,v5),L(L(x,z,y),z,y)). [hyper(58,a,14703,a(flip),b,18216,a),flip(a)]. 18218 K(x,y * ((z * (a(u,w,v5) \ 1)) / L(y * z,w,K(u,v5)))) = K(a(u,w,v5),L(x,z,y * y)). [hyper(280,a,16699,a(flip),b,18217,a),flip(a)]. 18219 K(x,y * ((z * (a(u,w,v5) \ 1)) / L(y * z,w,K(u,v5)))) = a(u,w,K(v5,L(x,z,y * y))). [hyper(280,a,9700,a,b,18218,a),flip(a)]. 18220 K(x,y * ((z * (a(u,w,v5) \ 1)) / (y * z))) = a(u,w,K(v5,L(x,z,y * y))). [hyper(58,a,14382,a(flip),b,18219,a)]. 18222 K(x,y * ((z / a(u,w,v5)) / (y * z))) = a(u,w,K(v5,L(x,z,y * y))). [hyper(58,a,17644,a(flip),b,18220,a)]. 18223 K(a(x,y,z),L(T(T(u,w),v5),v5,w)) = a(x,y,K(z,L(u,w,v5 * v5))). [hyper(58,a,18162,a(flip),b,18222,a)]. 18224 a(x,y,K(z,L(T(T(u,w),v5),v5,w))) = a(x,y,K(z,L(u,w,v5 * v5))). [hyper(10825,a,18223,a)]. 18225 a(x,y,K(z,L(T(u,w),v5,w))) = a(x,y,K(z,L(u,w,v5 * v5))). [hyper(13393,a,18224,a)]. 18226 a(x,y,K(z,L(u,w,v5 * v5))) = a(x,y,K(z,L(u,v5,w))). [hyper(13393,a,18225,a),flip(a)]. 18229 a(x,y,K(z,L(u,w,v5 \ (v5 \ (v5 \ (v5 \ 1)))))) = a(x,y,K(z,L(u,w,v5 * v5))). [para(16734(a,1),18226(a,1,3))]. 18230 a(x,y,K(z,L(u,w,v5 \ (v5 \ (v5 \ (v5 \ 1)))))) = a(x,y,K(z,L(u,v5,w))). [hyper(280,a,18226,a(flip),b,18229,a),flip(a)]. 18231 T(x,y) * T(T(T(x * x,y),((z * z) * x) * x) * T(x,y),T(x,y) * T(x,y)) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z). [para(11016(a,1),17628(a,1,2,1,1,1))]. 18232 T(x,y) * T(T(T(x * x,y),x * (x * (z * z))) * T(x,y),T(x,y) * T(x,y)) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z). [para(5628(a,1),18231(a,1,2,1,1))]. 18233 T(x,y) * T(T(T(x * x,x * (z * z)),y) * T(x,y),T(x,y) * T(x,y)) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z). [para(11205(a,1),18232(a,1,2,1,1))]. 18234 T(x,y) * T(T(T(x * x,z * z),y) * T(x,y),T(x,y) * T(x,y)) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z). [para(11204(a,1),18233(a,1,2,1,1,1))]. 18235 T(x,y) * T(T(x,y) * T(T(x * x,y),z * z),T(x,y) * T(x,y)) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z). [para(15549(a,1),18234(a,1,2,1))]. 18236 T(x,y) * T(T(x,y) * T(T(x * x,y),z * z),T(x * x,y)) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z). [para(11016(a,1),18235(a,1,2,2))]. 18237 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z) = T(x,y) * T(T(x,y) * T(T(x * x,y),z * z),x * x). [para(11040(a,1),18236(a,1,2)),flip(a)]. 18238 T(T(x,y) * (T(x,y) * T(T(x * x,y),z * z)),x * x) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z). [hyper(280,a,11217,a,b,18237,a)]. 18240 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z) = T(x * (T(x,y * y) * T(T(x * x,y),z * z)),x * x). [para(11029(a,1),18238(a,1,1)),flip(a)]. 18241 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z) = T((T(x,y * y) * T(T(x * x,y),z * z)) * x,x). [hyper(280,a,11026,a(flip),b,18240,a),flip(a)]. 18242 T(T(x,y * y) * (T(T(x * x,y),z * z) * x),x) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z). [para(865(a,1),18241(a,2,1)),flip(a)]. 18243 T(T(x,y * y) * (x * T(T(x * x,y),z * z)),x) = T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z). [para(1051(a,1),18242(a,1,1,2))]. 18244 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z) = T(x * (T(x,y * y) * T(T(x * x,y),z * z)),x). [para(1624(a,1),18243(a,1,1)),flip(a)]. 18245 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z) = T(x,y * y) * (T(T(x * x,y),z * z) * x). [hyper(280,a,1074,a(flip),b,18244,a),flip(a)]. 18246 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z) = T(x,y * y) * (x * T(T(x * x,y),z * z)). [para(1051(a,1),18245(a,2,2))]. 18247 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),x * z) = x * (T(x,y * y) * T(T(x * x,y),z * z)). [hyper(280,a,1624,a(flip),b,18246,a),flip(a)]. 18248 T(T(x,y) * (T(x,y) * T(x * x,y)),x * z) = x * (T(x,y * y) * T(T(x * x,y),z * z)). [para(11016(a,1),18247(a,1,1,2,2))]. 18249 T(T(x,y) * (x * T(x * T(x,y),y)),x * z) = x * (T(x,y * y) * T(T(x * x,y),z * z)). [para(11219(a,1),18248(a,1,1,2))]. 18250 T(x * (T(x,y) * T(x * T(x,y),y)),x * z) = x * (T(x,y * y) * T(T(x * x,y),z * z)). [para(1624(a,1),18249(a,1,1))]. 18251 T(T(x * (x * (x * x)),y),x * z) = x * (T(x,y * y) * T(T(x * x,y),z * z)). [para(18119(a,1),18250(a,1,1))]. 18252 T(T(x * (x * (x * x)),y),x * z) = T(T(x * (x * (x * x)),y),z). [hyper(280,a,18173,a(flip),b,18251,a),flip(a)]. 18253 T(T(x * (x * (x * x)),y),x * x) = T(x,y) * T(x * (x * x),y). [hyper(58,a,14274,a(flip),b,18252,a),flip(a)]. 18254 T(T(x * (x * (x * x)),y),x) = T(x,y) * T(x * (x * x),y). [hyper(58,a,18252,a(flip),b,18253,a)]. 18255 T(x,y) * T(x * (x * x),y) = T((x * (x * x)) * x,y). [hyper(1374,a,18254,a),flip(a)]. 18256 T(x,y) * T(x * (x * x),y) = T(x * ((x * x) * x),y). [para(857(a,1),18255(a,2,1))]. 18257 T(x,y) * T(x * (x * x),y) = T(x * (x * (x * x)),y). [para(857(a,1),18256(a,2,1,2))]. 18258 L(T(a(x,x,y),T((y * x) * (y * x),z)),a(y,x,x),T((y * x) * (y * x),z)) = T((y * x) * (y * x),z) \ (y * (x * T(y * x,z * z))). [para(17018(a,1),17354(a,1,1,1))]. 18259 L(a(x,x,y),a(y,x,x),T((y * x) * (y * x),z)) = T((y * x) * (y * x),z) \ (y * (x * T(y * x,z * z))). [para(10461(a,1),18258(a,1,1))]. 18260 a(x,x,L(y,a(y,x,x),T((y * x) * (y * x),z))) = T((y * x) * (y * x),z) \ (y * (x * T(y * x,z * z))). [hyper(58,a,17244,a,b,18259,a)]. 18262 a(x,x,L(y,a(y,x,x),(y * x) * (y * x))) = T((y * x) * (y * x),z) \ (y * (x * T(y * x,z * z))). [hyper(58,a,17028,a(flip),b,18260,a)]. 18263 T((x * y) * (x * y),z) \ (x * (y * T(x * y,z * z))) = a(y,y,x). [hyper(17623,a,18262,a),flip(a)]. 18265 (a(x,y,y) * T((x * y) * (x * y),z)) * a(y,y,x) = T((x * y) * (x * y),z). [para(18263(a,1),17353(a,1,2))]. 18266 L(T((x * y) * (x * y),z),a(y,y,x),a(x,y,y)) = T((x * y) * (x * y),z). [hyper(58,a,17094,a(flip),b,18265,a)]. 18268 L(T((x * y) * (x * y),z),a(x,y,y),x * (y * T(x * y,z * z))) = T((x * y) * (x * y),z). [hyper(58,a,17398,a,b,18266,a)]. 18269 (a(x,y,y) \ 1) * T((x * y) * (x * y),z) = a(x,y,y) \ T((x * y) * (x * y),z). [para(18268(a,1),17356(a,1,2)),flip(a)]. 18270 a(x,y,y) \ T((x * y) * (x * y),z) = a(y,y,x) * T((x * y) * (x * y),z). [para(17018(a,1),18269(a,1,1)),flip(a)]. 18271 T(a(x,x,y) * T((y * x) * (y * x),z),y * x) = y * (x * T(y * x,z * z)). [para(18270(a,1),17542(a,1,1))]. 18272 T(T(((x * y) * (x * y)) * a(y,y,x),z),x * y) = x * (y * T(x * y,z * z)). [para(10475(a,2),18271(a,1,1))]. 18273 T(T((x * y) * ((x * y) * a(y,y,x)),z),x * y) = x * (y * T(x * y,z * z)). [para(15856(a,1),18272(a,1,1,1))]. 18274 T(T((x * y) * (x * (y * a(y,y,x))),z),x * y) = x * (y * T(x * y,z * z)). [para(15835(a,1),18273(a,1,1,1,2))]. 18275 T(T((x * y) * (x * L(y,y,x)),z),x * y) = x * (y * T(x * y,z * z)). [para(15864(a,1),18274(a,1,1,1,2,2))]. 18276 T(T((x * y) * L(x * y,y,x),z),x * y) = x * (y * T(x * y,z * z)). [para(15858(a,2),18275(a,1,1,1,2))]. 18277 T(L(x * y,y,x) * (x * y),z) = x * (y * T(x * y,z * z)). [hyper(1374,a,18276,a)]. 18278 T((x * y) * L(x * y,y,x),z) = x * (y * T(x * y,z * z)). [para(229(a,1),18277(a,1,1))]. 18279 x * (y * T(x * y,z * z)) = T(x * (y * (x * y)),z). [para(86(a,1),18278(a,1,1)),flip(a)]. 18280 T(T(x * (x * (x * x)),y),z) = T(x * (x * (x * x)),z * y). [para(18279(a,1),18099(a,1,1))]. 18281 T(x * (x * (x * x)),y) * (T(x * (x * (x * x)),z * y) \ u) = K(z,T(x * (x * (x * x)),y)) * u. [para(18280(a,1),4296(a,1,2,1))]. 18282 T(T(x * (x * (x * x)),L(y,z,u)),T(w,y \ 1)) = T(x * (x * (x * x)),T(w * L(y,z,u),y \ 1)). [para(10972(a,2),18280(a,2,2))]. 18283 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),z * u) = T(T(T(x,y) * (T(x,y) * T(x * x,y)),u),z). [para(11016(a,1),18280(a,1,1,1,2,2)),flip(a)]. 18284 K(x,L(T(y * (y * (y * y)),z),u,w)) * (K(T(y * (y * (y * y)),z),K(v5,v6)) * v7) = T(y * (y * (y * y)),z) * (T(T(y * (y * (y * y)),L(x,u,w) * z),K(v5,v6)) \ v7). [para(18280(a,1),12421(a,2,2,1,1))]. 18285 K(x * (x * (x * x)),y) * (K(z * y,x * (x * (x * x))) * u) = K(z,T(x * (x * (x * x)),y)) * u. [hyper(4534,a,18281,a)]. 18286 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),z * u) = T(T(T(x,y) * T(x * (x * x),y),u),z). [para(14343(a,1),18283(a,2,1,1,2))]. 18287 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),z * u) = T(T(T(x * (x * (x * x)),y),u),z). [para(18257(a,1),18286(a,2,1,1))]. 18289 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),z * u) = T(T(x * (x * (x * x)),u * y),z). [para(18280(a,1),18287(a,2,1))]. 18290 T(T(x,y) * (T(x,y) * (T(x,y) * T(x,y))),z * u) = T(x * (x * (x * x)),z * (u * y)). [hyper(280,a,18280,a(flip),b,18289,a),flip(a)]. 18291 T(T(x,y) * (T(x,y) * T(x * x,y)),z * u) = T(x * (x * (x * x)),z * (u * y)). [para(11016(a,1),18290(a,1,1,2,2))]. 18292 T(T(x,y) * T(x * (x * x),y),z * u) = T(x * (x * (x * x)),z * (u * y)). [para(14343(a,1),18291(a,1,1,2))]. 18293 T(T(x * (x * (x * x)),y),z * u) = T(x * (x * (x * x)),z * (u * y)). [para(18257(a,1),18292(a,1,1))]. 18294 T(T(x * (x * (x * x)),y * (z * u)),z \ (y \ T(x * (x * (x * x)),u))) = T(x * (x * (x * x)),u). [para(18293(a,1),11301(a,1,1))]. 18295 K(x * (x * (x * x)),y) * (K(z * y,x * (x * (x * x))) * u) = K(z,x * (x * (x * x))) * u. [para(13211(a,1),18285(a,2,1))]. 18297 T(T(x * (x * (x * x)),y \ (z \ 1)),z * (y * u)) = T(x * (x * (x * x)),u). [hyper(58,a,11335,a(flip),b,18294,a)]. 18299 T(x * (x * (x * x)),(y * (z * u)) * (z \ (y \ 1))) = T(x * (x * (x * x)),u). [hyper(58,a,18280,a(flip),b,18297,a)]. 18300 T(x * (x * (x * x)),(y * (z * u)) / (y * z)) = T(x * (x * (x * x)),u). [hyper(16555,a,18299,a)]. 18301 T(x * (x * (x * x)),L(T(y,z * u),u,z)) = T(x * (x * (x * x)),y). [hyper(13802,a,18300,a)]. 18302 T(x * (x * (x * x)),L(y,z,u)) = T(x * (x * (x * x)),y). [hyper(58,a,14019,a(flip),b,18301,a)]. 18305 T(x * (x * (x * x)),T(y * L(z,u,w),z \ 1)) = T(T(x * (x * (x * x)),z),T(y,z \ 1)). [para(18302(a,1),18282(a,1,1)),flip(a)]. 18306 T(x * (x * (x * x)),T(y * L(z,u,w),z \ 1)) = T(T(x * (x * (x * x)),z),T(y,z)). [hyper(280,a,5608,a(flip),b,18305,a),flip(a)]. 18308 T(x * (x * (x * x)),T(y * L(z,u,w),z \ 1)) = T(x * (x * (x * x)),T(y,z) * z). [hyper(280,a,18280,a(flip),b,18306,a),flip(a)]. 18309 T(x * (x * (x * x)),T(y * L(z,u,w),z \ 1)) = T(x * (x * (x * x)),z * y). [hyper(280,a,5625,a(flip),b,18308,a),flip(a)]. 18310 T(x * (x * (x * x)),T(y * L(z,u,w),z)) = T(x * (x * (x * x)),z * y). [hyper(5609,a,18309,a)]. 18311 T(x * (x * (x * x)),L(y,z,u) * w) = T(x * (x * (x * x)),y * w). [hyper(13220,a,18310,a)]. 18312 K((x * x) * (x * x),y) * L(K(x * x,y) \ (K(x,y * y) \ 1),z,u) = K(x * x,y) * (K(x * x,y) * L(K(x * x,y * y) \ 1,z,u)). [para(11420(a,1),17284(a,1,1))]. 18313 K(x * (x * (x * x)),y) * L(K(x * x,y) \ (K(x,y * y) \ 1),z,u) = K(x * x,y) * (K(x * x,y) * L(K(x * x,y * y) \ 1,z,u)). [para(7123(a,1),18312(a,1,1,1))]. 18314 K(x * (x * (x * x)),y) * L(K(x * x,y) \ K(y * y,x),z,u) = K(x * x,y) * (K(x * x,y) * L(K(x * x,y * y) \ 1,z,u)). [para(3418(a,1),18313(a,1,2,1,2))]. 18315 K(x * (x * (x * x)),y) * L(K(y,x * x) * K(y * y,x),z,u) = K(x * x,y) * (K(x * x,y) * L(K(x * x,y * y) \ 1,z,u)). [para(4271(a,1),18314(a,1,2,1))]. 18316 K(x * x,y) * (K(x * x,y) * L(K(x * x,y * y) \ 1,z,u)) = K(x * (x * (x * x)),y) * L(K(y * y,x * x),z,u). [para(11423(a,1),18315(a,1,2,1)),flip(a)]. 18317 K(x * x,y) * (K(x * x,y) * L(K(x * x,y * y) \ 1,z,u)) = K(x * (x * (x * x)),y) * K(y * y,L(x * x,z,u)). [para(9384(a,1),18316(a,2,2))]. 18318 L(a(x,K(y,z),u),a(u / x,K(y,z),K(z,y) * x),L(u,K(y,z),x)) = ((u / x) * K(y,z)) \ (((u / x) * (K(y,z) * (K(z,y) * x))) / (K(z,y) * x)). [para(16766(a,1),17373(a,1,1))]. 18319 L(a(x,K(y,z),u),a(u / x,K(y,z),x),L(u,K(y,z),x)) = ((u / x) * K(y,z)) \ (((u / x) * (K(y,z) * (K(z,y) * x))) / (K(z,y) * x)). [para(16139(a,1),18318(a,1,2))]. 18320 L(a(x,K(y,z),u),a(u,K(y,z),x),L(u,K(y,z),x)) = ((u / x) * K(y,z)) \ (((u / x) * (K(y,z) * (K(z,y) * x))) / (K(z,y) * x)). [para(17372(a,1),18319(a,1,2))]. 18321 a(x,K(y,z),L(u,a(u,K(y,z),x),L(u,K(y,z),x))) = ((u / x) * K(y,z)) \ (((u / x) * (K(y,z) * (K(z,y) * x))) / (K(z,y) * x)). [hyper(58,a,17244,a,b,18320,a)]. 18322 ((x / y) * K(z,u)) \ (((x / y) * (K(z,u) * (K(u,z) * y))) / (K(u,z) * y)) = a(y,K(z,u),x). [para(853(a,1),18321(a,1,3)),flip(a)]. 18323 ((x / y) * K(z,u)) \ (((x / y) * y) / (K(u,z) * y)) = a(y,K(z,u),x). [para(4268(a,1),18322(a,1,2,1,2))]. 18324 ((x / y) * K(z,u)) \ (x / (K(u,z) * y)) = a(y,K(z,u),x). [para(7(a,1),18323(a,1,2,1))]. 18325 (((x / T(y,z)) * K(u,w)) * T(y,z)) \ ((x / y) * (K(u,w) * y)) = a(T(y,z),K(u,w),x). [hyper(58,a,16121,a,b,18324,a)]. 18327 (((x / T(y,z)) * K(u,w)) * T(y,z)) \ ((x / y) * (K(u,w) * y)) = a(y,K(u,w),x). [hyper(280,a,14787,a(flip),b,18325,a),flip(a)]. 18329 a(x,y,a(z,u,K(w,v5)) * 1) * a(a(v5,u,K(w,z)),L(w,u,v5) \ v6,L(w,u,v5) \ v6) = (L(w,u,v5) \ v6) * ((L(w,u,T(v5,z)) \ v6) \ L(a(v5,u,K(w,z)),y,x)). [para(10537(a,1),17456(a,1,1,3))]. 18330 a(x,y,a(z,u,K(w,v5))) * a(a(v5,u,K(w,z)),L(w,u,v5) \ v6,L(w,u,v5) \ v6) = (L(w,u,v5) \ v6) * ((L(w,u,T(v5,z)) \ v6) \ L(a(v5,u,K(w,z)),y,x)). [para(3(a,1),18329(a,1,1,3))]. 18331 a(x,y,a(z,u,K(w,v5))) * a(v5,L(w,u,v5) \ v6,a(L(w,u,v5) \ v6,u,K(w,z))) = (L(w,u,v5) \ v6) * ((L(w,u,T(v5,z)) \ v6) \ L(a(v5,u,K(w,z)),y,x)). [para(10933(a,1),18330(a,1,2))]. 18332 (L(x,y,z) \ u) * ((L(x,y,T(z,w)) \ u) \ L(a(z,y,K(x,w)),v5,v6)) = a(v6,v5,a(w,y,K(x,z))) * 1. [para(10536(a,1),18331(a,1,2)),flip(a)]. 18333 (L(x,y,z) \ u) * ((L(x,y,T(z,w)) \ u) \ L(a(z,y,K(x,w)),v5,v6)) = a(v6,v5,a(w,y,K(x,z))). [hyper(280,a,3,a(flip),b,18332,a),flip(a)]. 18335 (L(x,y,z) \ u) * ((L(x,y,T(z,w)) \ u) \ a(z,y,K(x,L(w,v5,v6)))) = a(v6,v5,a(w,y,K(x,z))). [para(9411(a,2),18333(a,1,2,2))]. 18336 T(x * (x * (x * x)),y) * (T(T(x * (x * (x * x)),L(z,u,w) * y),K(v5,v6)) \ v7) = K(z,L(x * (x * (x * x)),u,w)) * (K(T(x * (x * (x * x)),y),K(v5,v6)) * v7). [para(13841(a,1),18284(a,1,1)),flip(a)]. 18337 T(x * (x * (x * x)),y) * (T(T(x * (x * (x * x)),L(z,u,w) * y),K(v5,v6)) \ v7) = K(z,L(x * (x * (x * x)),u,w)) * (K(v5,K(T(x * (x * (x * x)),y),v6)) * v7). [para(5277(a,1),18336(a,2,2,1))]. 18339 T(x * (x * (x * x)),y) * (T(T(x * (x * (x * x)),L(z,u,w) * y),K(v5,v6)) \ v7) = K(z,L(x * (x * (x * x)),u,w)) * (K(v5,K(x * (x * (x * x)),T(v6,y))) * v7). [para(3638(a,1),18337(a,2,2,1,2))]. 18340 T(x * (x * (x * x)),y) * (T(T(x * (x * (x * x)),L(z,u,w) * y),K(v5,v6)) \ v7) = K(z,L(x * (x * (x * x)),u,w)) * (K(v5,K(v6,x * (x * (x * x)))) * v7). [para(12145(a,1),18339(a,2,2,1))]. 18342 T(x * (x * (x * x)),y) * (T(T(x * (x * (x * x)),L(z,u,w) * y),K(v5,v6)) \ v7) = K(z,L(x * (x * (x * x)),u,w)) * (1 * v7). [para(13191(a,1),18340(a,2,2,1))]. 18343 T(x * (x * (x * x)),y) * (T(T(x * (x * (x * x)),L(z,u,w) * y),K(v5,v6)) \ v7) = K(z,L(x * (x * (x * x)),u,w)) * v7. [para(2(a,1),18342(a,2,2))]. 18345 T(x * (x * (x * x)),y) * (T(T(x * (x * (x * x)),z * y),K(u,w)) \ v5) = K(z,L(x * (x * (x * x)),v6,v7)) * v5. [para(18311(a,1),18343(a,1,2,1,1))]. 18346 T(x * (x * (x * x)),y) * (T(x * (x * (x * x)),z * y) \ u) = K(z,L(x * (x * (x * x)),w,v5)) * u. [para(397(a,1),18345(a,1,2,1))]. 18348 K(x * (x * (x * x)),y) * (K(z * y,x * (x * (x * x))) * u) = K(z,L(x * (x * (x * x)),w,v5)) * u. [hyper(4534,a,18346,a)]. 18349 K(x,L(y * (y * (y * y)),z,u)) * w = K(x,y * (y * (y * y))) * w. [hyper(58,a,18295,a(flip),b,18348,a),flip(a)]. 18350 x * a(y,z,K(u * (u * (u * u)),w)) = x. [hyper(14771,a,18349,a),flip(a)]. 18351 L(T(x \ 1,K(y,z) * u),L(x,K(y,z) * u,K(w,K(y,z))),x * (K(y,T(z,w)) * u)) = (K(w,K(y,z)) * (x * (K(y,z) * u))) \ (K(w,K(y,z)) * (K(y,z) * u)). [para(13149(a,1),13658(a,1,1,1,1))]. 18352 L(T(x \ 1,K(y,z) * u),x,x * (K(y,T(z,w)) * u)) = (K(w,K(y,z)) * (x * (K(y,z) * u))) \ (K(w,K(y,z)) * (K(y,z) * u)). [para(13149(a,1),18351(a,1,2))]. 18353 L(T(x \ 1,K(y,z) * u),x,x * (K(y,z) * u)) = (K(w,K(y,z)) * (x * (K(y,z) * u))) \ (K(w,K(y,z)) * (K(y,z) * u)). [hyper(58,a,15629,a(flip),b,18352,a)]. 18355 L(T(x \ 1,K(y,z) * u),x,K(y,z) * u) = (K(w,K(y,z)) * (x * (K(y,z) * u))) \ (K(w,K(y,z)) * (K(y,z) * u)). [hyper(58,a,6746,a(flip),b,18353,a)]. 18356 (K(x,K(y,z)) * (u * (K(y,z) * w))) \ (K(x,K(y,z)) * (K(y,z) * w)) = (K(y,z) * w) \ (u \ (K(y,z) * w)). [hyper(58,a,1064,a(flip),b,18355,a),flip(a)]. 18357 (x * (K(y,T(z,u)) * w)) \ (K(u,K(y,z)) * (K(y,z) * w)) = (K(y,z) * w) \ (x \ (K(y,z) * w)). [para(13410(a,1),18356(a,1,1))]. 18358 (x * (K(y,T(z,u)) * w)) \ (K(y,T(z,u)) * w) = (K(y,z) * w) \ (x \ (K(y,z) * w)). [para(5344(a,1),18357(a,1,2))]. 18359 (K(x,T(y,z)) * u) \ (w \ (K(x,T(y,z)) * u)) = (K(x,y) * u) \ (w \ (K(x,y) * u)). [hyper(483,a,18358,a)]. 18360 (K(x,y) * z) \ (a(z,K(x,y),u) \ (K(x,y) * z)) = (z * K(x,T(T(y,z),w))) \ ((z * (K(x,T(T(y,z),w)) * u)) / u). [hyper(58,a,16225,a(flip),b,18359,a),flip(a)]. 18362 (K(x,y) * z) \ L(K(x,y) * z,K(y,x),z \ u) = (z * K(x,T(T(y,z),w))) \ ((z * (K(x,T(T(y,z),w)) * u)) / u). [para(17091(a,2),18360(a,1,2))]. 18363 (x * K(y,T(T(z,x),u))) \ ((x * (K(y,T(T(z,x),u)) * w)) / w) = a(K(y,z) * x,K(z,y),x \ w). [hyper(14257,a,18362,a),flip(a)]. 18364 (x * K(y,T(T(z,x),u))) \ ((x * (K(y,T(T(z,x),u)) * w)) / w) = a(x,K(z,y),(x \ w) * K(z,y)). [hyper(280,a,16167,a(flip),b,18363,a),flip(a)]. 18365 (K(x,T(y,z)) * u) \ ((u * (K(x,T(T(y,u),z)) * w)) / w) = a(u,K(y,x),(u \ w) * K(y,x)). [para(3782(a,1),18364(a,1,1))]. 18366 (K(x,T(y,z)) * u) \ (w / (K(T(T(y,u),z),x) * (u \ w))) = a(u,K(y,x),(u \ w) * K(y,x)). [para(4307(a,1),18365(a,1,2))]. 18367 (K(x,T(y,z)) * u) \ (w / (K(T(y,u),T(x,z)) * (u \ w))) = a(u,K(y,x),(u \ w) * K(y,x)). [para(3638(a,1),18366(a,1,2,2,1))]. 18368 (K(x,T(y,z)) * u) \ (w / (K(y,T(T(x,z),u)) * (u \ w))) = a(u,K(y,x),(u \ w) * K(y,x)). [para(3638(a,1),18367(a,1,2,2,1))]. 18369 (K(x,T(y,z)) * u) \ (w \ ((w * K(T(x,z),y)) * u)) = a(u,K(y,x),(u \ w) * K(y,x)). [para(11929(a,1),18368(a,1,2))]. 18370 (K(x,T(y,z)) * u) \ (w \ ((w * K(x,T(y,z))) * u)) = a(u,K(y,x),(u \ w) * K(y,x)). [para(3638(a,1),18369(a,1,2,2,1,2))]. 18371 a(x,K(T(y,z),u),w) = a(x,K(y,u),(x \ w) * K(y,u)). [hyper(17241,a,18370,a)]. 18372 a(x,K(y,T(z,u)),w) = a(x,K(y,z),(x \ w) * K(y,z)). [para(3638(a,1),18371(a,1,2))]. 18373 a(x,K(y,z),(x \ u) * K(y,z)) = a(u,K(z,y),x). [hyper(16159,a,18372,a),flip(a)]. 18375 a(x,K(y,z),x \ u) = a(u,K(z,y),x). [hyper(58,a,17371,a(flip),b,18373,a)]. 18376 L(x \ y,K(z,u),x * K(u,z)) = x \ (a(y,K(u,z),x) \ y). [para(18373(a,1),16201(a,1,2,1)),flip(a)]. 18377 a(T(x,y),K(z,u),x \ ((x / y) * w)) = a((y \ x) * w,K(u,z),T(x,y)). [para(4635(a,1),18375(a,1,3))]. 18378 a(x,K(y,z),L(u \ w,u,u \ x)) = a((x / u) * w,K(z,y),x). [para(6682(a,2),18375(a,1,3))]. 18380 L(x \ y,K(z,u),x * K(u,z)) = x \ L(y,K(z,u),x). [para(16770(a,1),18376(a,2,2))]. 18381 (x * K(y,z)) * (K(z,y) * (x \ u)) = L(u,K(z,y),x). [hyper(6183,a,18380,a)]. 18382 (x * K(y,z)) \ L(u,K(z,y),x) = K(z,y) * (x \ u). [hyper(115,a,18381,a)]. 18383 (x \ y) \ L(x \ y,K(z,u),y) = a(x,K(z,u),y \ 1). [para(18381(a,1),17469(a,1,2))]. 18384 L(x,K(y,z),a(u,u,w)) = x. [hyper(16455,a,18382,a),flip(a)]. 18385 L(x,K(y,z),a(u,w,w)) = x. [para(16959(a,1),18384(a,1,3))]. 18386 a(L(x,K(y,z),u),w,w) = (u \ a(x,w,w)) * u. [para(18385(a,1),17350(a,1,2)),flip(a)]. 18387 a(L(x,K(y,z),u),w,w) = T(a(x,w,w),u). [hyper(280,a,898,a,b,18386,a),flip(a)]. 18388 a(L(x,K(y,z),u),w,w) = a(x,w,w). [hyper(280,a,9715,a(flip),b,18387,a),flip(a)]. 18390 L(x \ 1,x,L(y,K(z,u),w)) = (x \ R(x,v5 \ 1,v6 \ 1)) * (a(y,x,x) * L(x \ 1,v5,v6)). [para(18388(a,1),17283(a,1,2,1)),flip(a)]. 18391 a(x \ y,K(z,u),y) = a(x,K(z,u),y \ 1). [hyper(14257,a,18383,a)]. 18392 a(x \ y,K(z,u),y) = a(y,K(z,u),x). [hyper(280,a,17198,a(flip),b,18391,a),flip(a)]. 18393 a(T((x / (y * z)) * y,z),K(u,w),x) = a(x,K(u,w),L(z,y,y \ x)). [para(11271(a,2),18392(a,1,1))]. 18394 a((x / (y * z)) * y,K(u,w),x) = a(x,K(u,w),L(z,y,y \ x)). [hyper(16923,a,18393,a)]. 18396 a((x \ y) * z,K(u,w),T(y,x)) = a(y,K(w,u),y \ ((y / x) * z)). [hyper(16923,a,18377,a),flip(a)]. 18398 a((x \ y) * z,K(u,w),T(y,x)) = a((y / x) * z,K(u,w),y). [hyper(280,a,18375,a(flip),b,18396,a),flip(a)]. 18399 a((x / y) * z,K(u,w),x) != v5 | a(x,K(w,u),(y \ x) * z) = v5. [para(18398(a,1),16912(a,1))]. 18400 a(x,K(y,z),L(u \ w,u,u \ x)) != v5 | a(x,K(y,z),(u \ x) * w) = v5. [para(18378(a,2),18399(a,1))]. 18401 a(x,K(y,z),L(u,w,w \ x)) != v5 | a(x,K(z,y),((w * u) \ x) * w) = v5. [para(18394(a,1),18399(a,1))]. 18402 L(x \ 1,x,L(y,K(z,u),w)) = L(x \ 1,x,y). [hyper(280,a,17283,a(flip),b,18390,a),flip(a)]. 18403 (x * a(y,K(z,u),w)) \ L(y,K(z,u),w) = L(x \ 1,x,y) * y. [para(18402(a,1),15409(a,2,1))]. 18404 (x * a(y,K(z,u),w)) \ L(y,K(z,u),w) = x \ y. [hyper(280,a,1063,a(flip),b,18403,a),flip(a)]. 18406 (L(x,K(y,z),u) \ (L(x,K(y,z),u) / w)) * x = w \ x. [hyper(58,a,15408,a,b,18404,a)]. 18408 a(x,K(y,z),u * ((L(w,K(z,y),x) * u) \ 1)) = ((u \ L(w,K(z,y),x)) \ 1) * (u \ w). [para(18406(a,1),18042(a,1,2)),flip(a)]. 18409 a(x,K(y,z),u * ((L(w,K(z,y),x) * u) \ 1)) = L(w,K(z,y),x) \ w. [hyper(280,a,8701,a(flip),b,18408,a),flip(a)]. 18412 a(x,K(y,z),u * ((L(w,K(z,y),x) * u) \ 1)) = a(x,K(z,y),w). [hyper(280,a,16763,a(flip),b,18409,a),flip(a)]. 18413 a(L(x,K(y,z),u),K(z,y),L(u,w,w \ 1)) = a(u,K(y,z),x). [hyper(58,a,17338,a(flip),b,18412,a)]. 18414 a(x,K(y,z),L(L(u,w,w \ 1),K(z,y),u)) = a(u,K(z,y),x). [hyper(58,a,17337,a(flip),b,18413,a)]. 18415 a(x,K(y,z),L(u,w,w \ 1)) = a(u,K(z,y),x). [para(855(a,1),18414(a,1,3))]. 18417 a(x,K(y,z),u * (w * (u \ 1))) = a(x,K(y,z),w). [hyper(58,a,17340,a,b,18415,a)]. 18420 a(x,K(y,z),L(u,w,w \ x)) = a(u,K(z,y),x). [hyper(58,a,17380,a,b,18417,a)]. 18421 a(x,K(y,z),((u * w) \ x) * u) = a(w,K(y,z),x). [hyper(18401,a,18420,a)]. 18422 a(x,K(y,z),(u \ x) * w) = a(u \ w,K(z,y),x). [hyper(18400,a,18420,a)]. 18424 a((x * y) \ x,K(z,u),w) = a(y,K(u,z),w). [hyper(58,a,18421,a(flip),b,18422,a),flip(a)]. 18425 a(x \ (x / y),K(z,u),w) = a(y,K(u,z),w). [para(7(a,1),18424(a,1,1,1))]. 18426 a(x \ (y \ x),K(z,u),w) = a(y,K(u,z),w). [hyper(16951,a,18425,a)]. 18427 a(x,K(y,z),L(u,x,w)) = a(x,K(y,z),u). [hyper(58,a,18138,a(flip),b,18425,a)]. 18429 (x / y) * L(y,K(z,u),w) = x * a(y,K(z,u),w). [para(18427(a,1),17248(a,1,2)),flip(a)]. 18430 a(x,K(y,z),u \ (w \ u)) = a(w,K(y,z),x). [hyper(16153,a,18426,a)]. 18431 a(x,K(y,z),L(u,L(u,K(y,z),x),w)) = a(L(u,K(y,z),x),K(z,y),x). [hyper(58,a,17473,a,b,18430,a)]. 18434 a(x,K(y,z),L(u,L(u,K(y,z),x),w)) = a(u,K(z,y),L(x,K(y,z),x)). [hyper(280,a,17337,a(flip),b,18431,a),flip(a)]. 18435 a(x,K(y,z),L(u,L(u,K(y,z),x),w)) = a(u,K(z,y),x). [para(844(a,1),18434(a,2,3))]. 18437 x * (L(x,K(y,z),u) \ w) = w * a(x,K(z,y),u). [para(18435(a,1),18046(a,1,2)),flip(a)]. 18438 ((x * K(y,z)) \ u) * a(u,K(z,y),x) = K(z,y) * (x \ u). [hyper(58,a,17368,a(flip),b,18437,a),flip(a)]. 18440 ((K(x,y * y) * (z * L(K(x,y * y),K(x,y * y),u))) / w) \ (w \ ((w * K(x * x,y)) * (L(K(x,y * y),K(x,y * y),u) * z))) = L(w,K(x * x,y),L(K(x,y * y),K(x,y * y),u) * z). [para(11044(a,1),15887(a,1,1,1,1))]. 18441 ((K(x,y * y) * (z * K(x,y * y))) / u) \ (u \ ((u * K(x * x,y)) * (L(K(x,y * y),K(x,y * y),w) * z))) = L(u,K(x * x,y),L(K(x,y * y),K(x,y * y),w) * z). [para(9025(a,1),18440(a,1,1,1,2,2))]. 18444 (((x * x) * (T(T(x * x,y),y) \ z)) / u) \ (u \ ((u * K(y * y,x)) * (L(K(y,x * x),K(y,x * x),w) * z))) = L(u,K(y * y,x),L(K(y,x * x),K(y,x * x),w) * z). [para(11504(a,1),18441(a,1,1,1))]. 18446 (((x * x) * (T(x * x,y * y) \ z)) / u) \ (u \ ((u * K(y * y,x)) * (L(K(y,x * x),K(y,x * x),w) * z))) = L(u,K(y * y,x),L(K(y,x * x),K(y,x * x),w) * z). [para(11022(a,1),18444(a,1,1,1,2,1))]. 18447 ((K(x * x,y * y) * z) / u) \ (u \ ((u * K(x * x,y)) * (L(K(x,y * y),K(x,y * y),w) * z))) = L(u,K(x * x,y),L(K(x,y * y),K(x,y * y),w) * z). [para(4296(a,1),18446(a,1,1,1))]. 18448 L(x,K(y * y,z),L(K(y,z * z),K(y,z * z),u) * w) = ((K(y * y,z * z) * w) / x) \ (x \ ((x * K(y * y,z)) * (K(y,z * z) * w))). [para(9025(a,1),18447(a,1,2,2,2,1)),flip(a)]. 18451 L(x,K(y * y,z),L(K(y,z * z),K(y,z * z),u) * w) = ((K(y * y,z * z) * w) / x) \ (x \ (K(y * y,z * z) * (x * w))). [para(16217(a,1),18448(a,2,2,2))]. 18452 L(x,K(y * y,z),L(K(y,z * z),K(y,z * z),u) * w) = ((K(y * y,z * z) * w) / x) \ (x * ((K(z * z,y * y) * x) \ w)). [para(16504(a,1),18451(a,2,2))]. 18453 L(x,K(y * y,z),L(K(y,z * z),K(y,z * z),u) * w) = L(x,w,K(y * y,z * z)). [hyper(280,a,17331,a(flip),b,18452,a),flip(a)]. 18454 L(x,K(y * y,z),K(y,L(z * z,K(y,z * z),u)) * w) = L(x,w,K(y * y,z * z)). [para(9384(a,1),18453(a,1,3,1))]. 18455 L(x,y,K(z * z,u * u)) = L(x,K(z * z,u),y). [hyper(58,a,17584,a(flip),b,18454,a),flip(a)]. 18457 L(x,y,K(z * (z * (z * z)),u)) = L(x,K(z * z,u),y). [hyper(58,a,15635,a,b,18455,a)]. 18458 x \ (y * (L(y,K(z * z,u),w) \ x)) = a(u,w,K(z * z,y * y)). [para(18457(a,1),16835(a,1,2,2,1))]. 18459 a(x,y,K(z * z,u * u)) = w \ (w * a(u,K(x,z * z),y)). [para(18437(a,1),18458(a,1,2)),flip(a)]. 18460 a(x,y,K(z * z,u * u)) = a(u,K(x,z * z),y). [hyper(280,a,16162,a(flip),b,18459,a),flip(a)]. 18462 K(x,L(y * y,z,u * u)) = K(x,y * y) * a(u,K(z,y * y),x). [para(18460(a,1),14481(a,1,2)),flip(a)]. 18463 K(x,L(y,z * z,u * u)) = K(x,y) * a(x,K(u,y * y),z). [para(18460(a,1),16717(a,2,2))]. 18464 L(K(x * x,y) * K(x * x,y),K(y,x * x),K(y,x * x) \ 1) * L(K(y,x * x) * (((K(x * x,y) * (K(y,x * x) \ 1)) * K(y,x * x)) \ 1),z,u) = L(((K(y,x * x) \ 1) * K(x * x,y)) * L((K(x * x,y) * (K(y,x * x) \ 1)) \ 1,z,u),K(y,x * x),K(y,x * x) \ 1). [para(3418(a,1),17541(a,1,1,1,2))]. 18465 L(K((x * x) * (x * x),y),K(y,x * x),K(y,x * x) \ 1) * L(K(y,x * x) * (((K(x * x,y) * (K(y,x * x) \ 1)) * K(y,x * x)) \ 1),z,u) = L(((K(y,x * x) \ 1) * K(x * x,y)) * L((K(x * x,y) * (K(y,x * x) \ 1)) \ 1,z,u),K(y,x * x),K(y,x * x) \ 1). [para(11420(a,1),18464(a,1,1,1))]. 18466 L(K(x * (x * (x * x)),y),K(y,x * x),K(y,x * x) \ 1) * L(K(y,x * x) * (((K(x * x,y) * (K(y,x * x) \ 1)) * K(y,x * x)) \ 1),z,u) = L(((K(y,x * x) \ 1) * K(x * x,y)) * L((K(x * x,y) * (K(y,x * x) \ 1)) \ 1,z,u),K(y,x * x),K(y,x * x) \ 1). [para(7123(a,1),18465(a,1,1,1,1))]. 18467 L(((K(x,y * y) \ 1) * K(y * y,x)) * L((K(y * y,x) * (K(x,y * y) \ 1)) \ 1,z,u),K(x,y * y),K(x,y * y) \ 1) = K(y * (y * (y * y)),x) * L(K(x,y * y) * (((K(y * y,x) * (K(x,y * y) \ 1)) * K(x,y * y)) \ 1),z,u). [para(9028(a,1),18466(a,1,1)),flip(a)]. 18468 L(((K(x,y * y) \ 1) * K(y * y,x)) * L((K(y * y,x) * (K(x,y * y) \ 1)) \ 1,z,u),K(x,y * y),K(x,y * y) \ 1) = K(y * (y * (y * y)),x) * L(K(x,y * y) * (K(y * y,x) \ 1),z,u). [para(4366(a,1),18467(a,2,2,1,2,1))]. 18472 L(((K(x,y * y) \ 1) * K(y * y,x)) * L((K(y * y,x) * (K(x,y * y) \ 1)) \ 1,z,u),K(x,y * y),K(x,y * y) \ 1) = K(y * (y * (y * y)),x) * L(K(x,y * y) * K(x,y * y),z,u). [para(3418(a,1),18468(a,2,2,1,2))]. 18474 L(((K(x,y * y) \ 1) * K(y * y,x)) * L((K(y * y,x) * (K(x,y * y) \ 1)) \ 1,z,u),K(x,y * y),K(x,y * y) \ 1) = K(y * (y * (y * y)),x) * L(K(x * x,y * y),z,u). [para(11420(a,1),18472(a,2,2,1))]. 18475 L(((K(x,y * y) \ 1) * K(y * y,x)) * L((K(y * y,x) * (K(x,y * y) \ 1)) \ 1,z,u),K(x,y * y),K(x,y * y) \ 1) = K(y * (y * (y * y)),x) * K(x * x,L(y * y,z,u)). [para(9384(a,1),18474(a,2,2))]. 18476 L((K(x * x,y) * K(x * x,y)) * L((K(x * x,y) * (K(y,x * x) \ 1)) \ 1,z,u),K(y,x * x),K(y,x * x) \ 1) = K(x * (x * (x * x)),y) * K(y * y,L(x * x,z,u)). [para(3418(a,1),18475(a,1,1,1,1))]. 18477 L(K((x * x) * (x * x),y) * L((K(x * x,y) * (K(y,x * x) \ 1)) \ 1,z,u),K(y,x * x),K(y,x * x) \ 1) = K(x * (x * (x * x)),y) * K(y * y,L(x * x,z,u)). [para(11420(a,1),18476(a,1,1,1))]. 18478 L(K(x * (x * (x * x)),y) * L((K(x * x,y) * (K(y,x * x) \ 1)) \ 1,z,u),K(y,x * x),K(y,x * x) \ 1) = K(x * (x * (x * x)),y) * K(y * y,L(x * x,z,u)). [para(7123(a,1),18477(a,1,1,1,1))]. 18479 L(K(x * (x * (x * x)),y) * L((K(x * x,y) * K(x * x,y)) \ 1,z,u),K(y,x * x),K(y,x * x) \ 1) = K(x * (x * (x * x)),y) * K(y * y,L(x * x,z,u)). [para(3418(a,1),18478(a,1,1,2,1,1,2))]. 18480 L(K(x * (x * (x * x)),y) * L(K((x * x) * (x * x),y) \ 1,z,u),K(y,x * x),K(y,x * x) \ 1) = K(x * (x * (x * x)),y) * K(y * y,L(x * x,z,u)). [para(11420(a,1),18479(a,1,1,2,1,1))]. 18481 L(K(x * (x * (x * x)),y) * L(K(x * (x * (x * x)),y) \ 1,z,u),K(y,x * x),K(y,x * x) \ 1) = K(x * (x * (x * x)),y) * K(y * y,L(x * x,z,u)). [para(7123(a,1),18480(a,1,1,2,1,1,1))]. 18482 L(K(x * (x * (x * x)),y) * L(K(y,x * (x * (x * x))),z,u),K(y,x * x),K(y,x * x) \ 1) = K(x * (x * (x * x)),y) * K(y * y,L(x * x,z,u)). [para(3418(a,1),18481(a,1,1,2,1))]. 18483 L(K(x * (x * (x * x)),y) * K(y,L(x * (x * (x * x)),z,u)),K(y,x * x),K(y,x * x) \ 1) = K(x * (x * (x * x)),y) * K(y * y,L(x * x,z,u)). [para(9384(a,1),18482(a,1,1,2))]. 18484 L(a(x,y,K(z * (z * (z * z)),u)),K(x,z * z),K(x,z * z) \ 1) = K(z * (z * (z * z)),x) * K(x * x,L(z * z,u,y)). [para(14433(a,1),18483(a,1,1))]. 18485 L(a(x,y,K(z * (z * (z * z)),u)),K(x,z * z),K(z * z,x)) = K(z * (z * (z * z)),x) * K(x * x,L(z * z,u,y)). [para(3418(a,1),18484(a,1,3))]. 18486 K(x * (x * (x * x)),y) * K(y * y,L(x * x,z,u)) = a(y,u,K(x * (x * (x * x)),z)). [hyper(14540,a,18485,a)]. 18489 K(x * x,y) * (K(x * x,y) * L(K(x * x,y * y) \ 1,z,u)) = a(y,u,K(x * (x * (x * x)),z)). [hyper(58,a,18317,a,b,18486,a)]. 18490 K(x * x,y) * (K(x * x,y) * L(K(y * y,x * x),z,u)) = a(y,u,K(x * (x * (x * x)),z)). [para(3418(a,1),18489(a,1,2,2,1))]. 18491 K(x * x,y) * (K(x * x,y) * K(y * y,L(x * x,z,u))) = a(y,u,K(x * (x * (x * x)),z)). [para(9384(a,1),18490(a,1,2,2))]. 18492 (x * x) * (L(T(x * x,y),z,K(u,y * y)) \ K(x * x,y)) = a(y,u,K(x * (x * (x * x)),z)). [hyper(16322,a,18491,a)]. 18493 (x * x) * L(T(x * x,y) \ K(x * x,y),z,K(u,y * y)) = a(y,u,K(x * (x * (x * x)),z)). [para(16409(a,2),18492(a,1,2))]. 18494 (x * x) * L(T((x * x) \ K(x * x,y),y),z,K(u,y * y)) = a(y,u,K(x * (x * (x * x)),z)). [para(4986(a,2),18493(a,1,2,1))]. 18495 (x * x) * L(T(x \ (x \ K(x * x,y)),y),z,K(u,y * y)) = a(y,u,K(x * (x * (x * x)),z)). [para(16096(a,1),18494(a,1,2,1,1))]. 18496 (x * x) * L(x \ (x \ 1),y,K(z,u * u)) = a(u,z,K(x * (x * (x * x)),y)). [para(16099(a,1),18495(a,1,2,1))]. 18497 x * (x * L((x * x) \ 1,y,K(z,u * u))) = a(u,z,K(x * (x * (x * x)),y)). [hyper(17008,a,18496,a)]. 18499 x * (x * L(x \ (x \ 1),y,K(z,u * u))) = a(u,z,K(x * (x * (x * x)),y)). [para(1046(a,1),18497(a,1,2,2,1))]. 18500 a(x,y,K(z * (z * (z * z)),u)) = a(y,u,K(z * z,x * x)). [hyper(11853,a,18499,a),flip(a)]. 18501 a(x,y,K(z * (z * (z * z)),u)) = a(x,K(y,z * z),u). [hyper(280,a,18460,a(flip),b,18500,a),flip(a)]. 18502 x * a(y,K(z,u * u),w) = x. [para(18501(a,1),18350(a,1,2))]. 18503 L(x,K(y,z * z),u) = x. [hyper(17200,a,18502,a)]. 18504 L(x,K(y * y,z),u) = x. [hyper(16152,a,18502,a)]. 18505 (x * K(y,z * z)) * u = x * (K(y,z * z) * u). [hyper(261,a,18502,a)]. 18506 K(x,L(y,z * z,u * u)) = K(x,y). [hyper(58,a,18463,a,b,18502,a)]. 18507 K(x,L(y * y,z,u * u)) = K(x,y * y). [hyper(58,a,18462,a,b,18502,a)]. 18508 (x * K(y * y,z)) \ u = K(z,y * y) * (x \ u). [hyper(58,a,18438,a(flip),b,18502,a),flip(a)]. 18511 K(x,y * y) * (z * a(u \ z,u,K(x,y * y) \ 1)) = u * (((K(x,y * y) \ 1) * u) \ z). [hyper(58,a,17041,a(flip),b,18503,a)]. 18512 x * (((K(y,z * z) * x) \ u) / x) = (u / x) * K(z * z,y). [para(18504(a,1),17444(a,1,2,2))]. 18514 K(x,L(y,z,u \ (u \ (u \ (u \ 1))))) = K(x,y). [hyper(58,a,16734,a(flip),b,18506,a)]. 18517 a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,u)). [para(18514(a,1),18230(a,1,3)),flip(a)]. 18539 L(x,y,K(z,L(L(u,w,v5),v6,v7))) = a(z,y,K(u,L(x,w,v5))) * x. [para(18517(a,1),15564(a,1,1)),flip(a)]. 18543 K(x,L(y,z,L(u,w,v5))) = a(z,y,K(u,x * L(T(y,v6),v7,v8))) * K(x,y). [para(18517(a,1),15995(a,1,1)),flip(a)]. 18544 L(x,y,L(z,u,K(w,v5))) = a(v5,z,K(y,x)) * L(x,y,T(z,v5 \ z)). [para(18517(a,1),16111(a,1,1)),flip(a)]. 18545 a(x,y,K(z,L(u,w,v5))) * (w * v5) = (a(z,y,K(u,L(x,v6,v7))) * w) * v5. [para(18517(a,1),16257(a,1,1))]. 18547 a(x,y,a(z,u,K(w,v5))) = (L(w,u,v5) \ v6) * ((L(w,u,T(v5,z)) \ v6) \ a(v5,u,K(w,z))). [para(18517(a,1),18335(a,1,2,2)),flip(a)]. 18548 (K(x,y * y) * z) * u = z * (K(x,y * y) * u). [hyper(58,a,11065,a,b,18505,a)]. 18549 (K(x * x,y) * z) \ u = K(y,x * x) * (z \ u). [para(11042(a,2),18508(a,1,1))]. 18550 (x * (K(L(y,z,u),w * w) * (x \ v5))) * K(w,L(y * y,z,u)) = L(v5,y * y,K(x,L(w,z,u))). [para(18508(a,1),16738(a,1,1,2))]. 18551 (x * (K(y,z * z) * u)) / (x * u) = K(y,z * z) * a(K(y,z * z),x,u). [para(18548(a,1),9959(a,1,1))]. 18552 T((x / y) * K(z * z,u),y) = (K(u,z * z) * y) \ x. [para(18512(a,1),912(a,1,1))]. 18553 (K(x,y * y) * z) \ u = K(y * y,x) * (z \ u). [hyper(58,a,12464,a(flip),b,18552,a),flip(a)]. 18554 K(x * x,y) * ((z * K(x,y)) \ u) = (z * K(y,x)) \ u. [para(14979(a,1),18553(a,1,1)),flip(a)]. 18555 L(x * K(y,z),K(z,y),u) * ((x * K(y,z)) \ u) = L(u,K(z,y),x). [para(18554(a,1),18080(a,1,2))]. 18556 L(x,y,K(z,L(L(u,w,v5),v6,v7))) = a(z,y,K(u,x)) * x. [para(18517(a,1),18539(a,2,1))]. 18558 L(x,y,K(z,L(L(u,w,v5),v6,v7))) = L(x,y,K(z,u)). [hyper(280,a,11749,a(flip),b,18556,a),flip(a)]. 18560 L(x,y,K(z,L(u,w,v5))) = L(x,y,K(z,u)). [para(322(a,1),18558(a,1,3,2,1))]. 18562 L(L(x,y,T(z,u \ z)),z,K(u,y)) = L(x,y,L(z,w,K(v5,u))). [hyper(280,a,11773,a(flip),b,18544,a)]. 18564 L(x,y,T(T(z,u \ z),u)) = L(x,y,L(z,w,K(v5,u))). [hyper(58,a,15637,a(flip),b,18562,a)]. 18565 L(x,y,L(z,u,K(w,v5))) = L(x,y,z). [hyper(58,a,9163,a(flip),b,18564,a),flip(a)]. 18567 L(x,y,T(z,L(u,w,v5))) = L(x,y,T(z,u)). [para(11779(a,1),18565(a,1,3))]. 18569 L(x,y * z,T(u,L(z,w,v5))) = L(x,y * z,T(u,y \ u)). [hyper(58,a,15560,a(flip),b,18567,a)]. 18571 L(x,y * z,T(u,y \ u)) = L(x,y * z,T(u,z)). [hyper(58,a,18567,a(flip),b,18569,a),flip(a)]. 18572 (x / (y * K(z,u))) * L(y * K(z,u),K(u,z),x) = L(x,K(u,z),y). [hyper(58,a,5095,a(flip),b,18555,a)]. 18573 x * a(y * K(z,u),K(u,z),x) = L(x,K(u,z),y). [hyper(58,a,18429,a(flip),b,18572,a)]. 18575 K(x,L(y,z,L(u,w,v5))) = a(u,x * L(y,v6,v7),K(z,y)) * K(x,y). [para(16356(a,1),18543(a,2,1))]. 18577 K(x,L(y,z,L(u,w,v5))) = a(x,z,K(u,y)) * K(x,y). [para(14505(a,1),18575(a,2,1))]. 18578 K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,u)). [hyper(280,a,10882,a(flip),b,18577,a),flip(a)]. 18579 K(x,L(y,z,L(u,w,v5))) != v6 | K(x,L(y,z,u)) = v6. [para(18577(a,2),10902(a,1))]. 18586 K(x,(y * (z * (u * L(z,w,v5)))) / (y * L(z,w,v5))) = K(x,L(T(u * z,y * z),z,y)). [hyper(58,a,18144,a,b,18578,a)]. 18588 K(x,L(T(T(y,z),z * u),z,u)) = K(x,L(T(y,u),u,L(z * z,w,v5))). [hyper(58,a,18165,a(flip),b,18578,a),flip(a)]. 18589 K(x,L(T(T(y,z),u * z),z,u)) = K(x,L(z,w,v5) * (((u \ L(z,w,v5)) \ y) / u)). [hyper(58,a,17984,a(flip),b,18578,a),flip(a)]. 18596 K(x,L(T(y,z),z,L(u * u,w,v5))) = K(x,u * (((z \ u) \ y) / z)). [hyper(58,a,17983,a(flip),b,18588,a),flip(a)]. 18597 K(x,y * (((z \ y) \ u) / z)) = K(x,L(T(u,z),z,y * y)). [hyper(18579,a,18596,a),flip(a)]. 18598 K(x,y * (((z \ y) \ u) / z)) != w | K(x,L(T(u,z),z,y * y)) = w. [para(18596(a,1),10967(a,1))]. 18599 x * K(y,L(T(z,u),u,x * x)) = ((x / u) * K(y,z)) * u. [para(18597(a,1),17986(a,1,2))]. 18600 (x * (K(y,z) * u)) / (x * u) != w | K(y,L(T(z,x),x,u * u)) = w. [para(17985(a,1),18598(a,1))]. 18601 (a(x,y,K(z,L(u,w,v5))) * v6) * v7 = a(u,y,K(x,z)) * (v6 * v7). [para(18517(a,1),18545(a,1,1)),flip(a)]. 18603 (a(x,y,K(z,u)) * w) * v5 = a(u,y,K(x,z)) * (w * v5). [para(322(a,1),18601(a,1,1,1,3,2))]. 18609 (x * y) \ T((a(z,u,K(w,v5)) * (v6 * x)) * y,v6) = L(v6 * a(w,v5,K(z,u)),x,y). [para(18603(a,1),15492(a,1,2,1,1))]. 18610 K(x,L(T(y * y,z),z,u * u)) = K(x,y * y) * a(K(x,y * y),z,u). [hyper(18600,a,18551,a)]. 18611 K(x,L(y * y,z,u * u)) = K(x,y * y) * a(K(x,y * y),z,u). [hyper(12444,a,18610,a)]. 18612 K(x,y * y) * a(K(x,y * y),z,u) = K(x,y * y). [hyper(58,a,18507,a(flip),b,18611,a),flip(a)]. 18613 K(x,L(y * y,z,u)) = K(x,y * y). [hyper(14948,a,18612,a)]. 18617 a(x,y,K(z,u * u) \ a(w,K(v5,v6),K(v7,v8))) = K(z,u * u) \ K(z,u * u). [para(18613(a,1),17264(a,2,2))]. 18618 a(x,y,K(z,u * u) \ a(w,K(v5,v6),K(v7,v8))) = 1. [hyper(280,a,61,a(flip),b,18617,a),flip(a)]. 18620 a(x,y,K(z,u * u) \ 1) = 1. [para(327(a,1),18618(a,1,3,2))]. 18621 a(x,y,K(z * z,u)) = 1. [para(3418(a,1),18620(a,1,3))]. 18626 K(x,L(y,z,u) * (((w \ L(y,z,u)) \ v5) / w)) = K(v5,(y * w) \ ((y / x) * w)). [hyper(58,a,17855,a(flip),b,18589,a),flip(a)]. 18627 K(x,L(T(y,z),z,L(u,w,v5) * L(u,w,v5))) = K(y,(u * z) \ ((u / x) * z)). [hyper(18598,a,18626,a)]. 18628 K(x,L(T(y,z),z,L(u * u,w,v5))) = K(y,(u * z) \ ((u / x) * z)). [hyper(58,a,16719,a(flip),b,18627,a)]. 18629 K(x,(y * z) \ ((y / u) * z)) = K(u,L(T(x,z),z,y * y)). [hyper(18579,a,18628,a),flip(a)]. 18630 K(x,L(T(y / z,u),u,y * y)) = K(x,(u * y) / (u * z)). [hyper(58,a,18085,a(flip),b,18629,a),flip(a)]. 18631 (x * y) \ T(a(z,u,K(w,v5)) * ((v6 * x) * y),v6) = L(v6 * a(v5,z,K(w,u)),x,y). [para(18603(a,1),18609(a,1,2,1))]. 18632 a(x,y,a(z,u,K(w,v5))) = (L(w,u,v5) \ v6) * ((L(w,u,v5) \ v6) \ 1). [para(15986(a,1),18547(a,2,2))]. 18634 a(x,y,a(z,u,K(w,v5))) = 1. [hyper(280,a,5,a(flip),b,18632,a),flip(a)]. 18641 1 * (a(x,y,K(z,u)) * (w \ v5)) = w \ (a(u,y,K(x,z)) * v5). [para(18634(a,1),18211(a,1,1))]. 18643 x \ (a(y,z,K(u,w)) * v5) = a(u,z,K(w,y)) * (x \ v5). [hyper(113,a,18641,a),flip(a)]. 18647 x \ T(a(y,z,K(u,w)) * v5,v6) = a(u,z,K(w,y)) * (x \ T(v5,v6)). [para(13541(a,2),18643(a,1,2))]. 18648 a(x,y,K(z,u)) * ((w * v5) \ T((v6 * w) * v5,v6)) = L(v6 * a(z,u,K(x,y)),w,v5). [hyper(58,a,18631,a(flip),b,18647,a),flip(a)]. 18649 L(x * a(y,z,K(u,w)),v5,v6) = a(u,w,K(y,z)) * L(x,v5,v6). [para(11371(a,2),18648(a,1,2)),flip(a)]. 18651 L(x * a(y,z,K(u,w)),v5,v6) = L(x,v5,v6) * a(u,w,K(y,z)). [hyper(280,a,13146,a(flip),b,18649,a),flip(a)]. 18653 L(x * a(y,z,K(x * x,u)),y,T(z,u \ z)) = L(x,y,T(z,u)). [hyper(280,a,17349,a(flip),b,18651,a),flip(a)]. 18654 L(x * 1,y,T(z,u \ z)) = L(x,y,T(z,u)). [para(18621(a,1),18653(a,1,1,2))]. 18655 L(x,y,T(z,u \ z)) = L(x,y,T(z,u)). [para(3(a,1),18654(a,1,1))]. 18657 L(x,y * z,T(u,z)) = L(x,y * z,T(u,y)). [hyper(58,a,18571,a(flip),b,18655,a)]. 18658 L((x / T(y,z)) / (u * z),u * z,T(y,u)) = x / ((u * z) * T(y,z)). [hyper(58,a,11080,a(flip),b,18657,a),flip(a)]. 18660 K(x,(y * (z * (u * L(z,w,v5)))) / (y * L(z,w,v5))) = K(x,(y * z) * (u / y)). [hyper(280,a,17651,a(flip),b,18586,a),flip(a)]. 18661 K(x,y * y) * (z * a(u \ z,u,K(x,y * y) \ 1)) = u * ((K(y * y,x) * u) \ z). [para(3418(a,1),18511(a,2,2,1,1))]. 18662 K(x,y * y) * (z * a(u \ z,u,K(x,y * y) \ 1)) = u * (K(x,y * y) * (u \ z)). [para(18549(a,1),18661(a,2,2))]. 18663 x * (K(y,z * z) * (x \ u)) = K(y,z * z) * (u * 1). [para(18620(a,1),18662(a,1,2,2)),flip(a)]. 18664 x * (K(y,z * z) * (x \ u)) = K(y,z * z) * u. [para(3(a,1),18663(a,2,2))]. 18666 (x * (K(y,L(z * z,u,w)) * (x \ v5))) * K(z,L(y * y,u,w)) = L(v5,y * y,K(x,L(z,u,w))). [para(9511(a,1),18550(a,1,1,2,1))]. 18667 (x * (K(y,L(z * z,u,w)) * (x \ v5))) * K(z,L(y * y,u,w)) = L(v5,y * y,K(x,z)). [hyper(280,a,18560,a(flip),b,18666,a),flip(a)]. 18669 (x * (K(y,z * z) * (x \ u))) * K(z,L(y * y,w,v5)) = L(u,y * y,K(x,z)). [para(18613(a,1),18667(a,1,1,2,1))]. 18671 L(x,y * y,K(z,u)) = (K(y,u * u) * x) * K(u,L(y * y,w,v5)). [para(18664(a,1),18669(a,1,1)),flip(a)]. 18672 L(x,y * y,K(z,u)) = K(y,u * u) * (x * K(u,y * y)). [hyper(280,a,9396,a(flip),b,18671,a),flip(a)]. 18674 L(x,y * y,K(z,u)) = x. [hyper(280,a,11072,a(flip),b,18672,a),flip(a)]. 18676 L(x,y,K(z,u * u)) = x. [hyper(14595,a,18674,a)]. 18678 K(x,L(y,z,u * u)) = K(x,y). [hyper(16432,a,18676,a)]. 18683 K(x,(y * z) / (y * u)) = K(x,T(z / u,y)). [hyper(58,a,18630,a(flip),b,18678,a)]. 18684 ((x / y) * K(z,u)) * y = x * K(z,T(u,y)). [para(18678(a,1),18599(a,1,2)),flip(a)]. 18686 K(x,T((y * (z * L(y,u,w))) / L(y,u,w),v5)) = K(x,(v5 * y) * (z / v5)). [hyper(58,a,18660,a(flip),b,18683,a),flip(a)]. 18687 (x * K(y,T(z,T(u,w)))) \ ((x / u) * (K(y,z) * u)) = a(u,K(y,z),x). [para(18684(a,1),18327(a,1,1))]. 18689 (x * K(y,T(z,u))) \ ((x / u) * (K(y,z) * u)) = a(u,K(y,z),x). [para(100(a,1),18687(a,1,1,2,2,2))]. 18690 a(x,K(y,z),u) = a(x,z,K(u,y)). [hyper(14660,a,18689,a),flip(a)]. 18691 x * a(y * K(z,u),z,K(x,u)) = L(x,K(u,z),y). [para(18690(a,1),18573(a,1,2))]. 18692 x * a(y,z,K(x,u)) = L(x,K(u,z),y). [para(17604(a,1),18691(a,1,2))]. 18693 L(x,K(y,z),u) = L(x,z,K(y,u)). [hyper(11797,a,18692,a),flip(a)]. 18695 L((x * y) * z,u,K(y,z)) / (y * z) = L(x,T(y,u),z). [para(18693(a,1),17495(a,1,1))]. 18697 L(((x * y) * z) / (y * z),u,K(y,z)) = L(x,T(y,u),z). [hyper(58,a,15645,a,b,18695,a)]. 18698 L(L(x,y,z),u,K(y,z)) = L(x,T(y,u),z). [para(11075(a,2),18697(a,1,1))]. 18699 L(x,T(y,z),u) = L(x,y,T(u,z)). [hyper(58,a,15283,a(flip),b,18698,a),flip(a)]. 18703 L(x,y * z,T(u,y)) = L(x,z * y,u). [para(897(a,1),18699(a,1,2)),flip(a)]. 18706 L((x / T(y,z)) / (u * z),z * u,y) = x / ((u * z) * T(y,z)). [hyper(58,a,18658,a(flip),b,18703,a),flip(a)]. 18707 (x * (y * z)) * (u / ((z * y) * T(x,y))) = x * ((y * z) * ((u / T(x,y)) / (z * y))). [para(18706(a,1),86(a,1,2))]. 18708 K(x,T(y * ((z * L(y,u,w)) / L(y,u,w)),v5)) = K(x,(v5 * y) * (z / v5)). [para(1149(a,1),18686(a,1,2,1))]. 18709 K(x,(y * z) * (u / y)) = K(x,T(z * u,y)). [para(6(a,1),18708(a,1,2,1,2)),flip(a)]. 18710 K(x,T((y * z) * L(u,z,y),z)) = K(x,(z * y) * T(u,z)). [hyper(58,a,17906,a(flip),b,18709,a),flip(a)]. 18711 K(x,T(y * (z * u),z)) = K(x,(z * y) * T(u,z)). [para(86(a,1),18710(a,1,2,1))]. 18712 K(x,T(T(y,z \ (u \ 1)) * (u * z),u)) = K(x,z * (y * u)). [hyper(280,a,17946,a(flip),b,18711,a),flip(a)]. 18713 K(x,T((y * z) * u,y)) = K(x,z * (u * y)). [para(10762(a,1),18712(a,1,2,1))]. 18714 K(x,T(y,z) * (z * u)) = K(x,z * (y * u)). [hyper(11997,a,18713,a)]. 18715 K((x * y) * z,u) * K(u,x * (y * z)) = a(x,u,K(z,y)). [para(18714(a,1),17771(a,1,2))]. 18716 K(x,y * (z * u)) * K((y * z) * u,x) = a(y,x,K(u,z)). [hyper(12193,a,18715,a)]. 18717 T(T(x,(y * z) * u),(z * u) \ (y \ 1)) \ x = a(y,x,K(u,z)). [hyper(58,a,11719,a,b,18716,a)]. 18718 (x * (y * z)) * (u / ((z * y) * T(x,y))) = x * (y * (z * (((u / T(x,y)) / y) / z))). [para(11132(a,1),18707(a,2,2))]. 18719 (x * (y * z)) * (u / ((z * y) * T(x,y))) = T(z * u,y \ (x \ 1)) / z. [hyper(280,a,18195,a(flip),b,18718,a),flip(a)]. 18720 T(x * (y * K(x,z * u)),u \ (z \ 1)) / x = T(y,(u * x) \ (z \ 1)). [hyper(58,a,11585,a(flip),b,18719,a),flip(a)]. 18721 (x * y) * (z * ((u / T(x * y,z)) / z)) = T(u,(y * z) \ (x \ 1)). [hyper(58,a,18196,a(flip),b,18720,a)]. 18722 T(x,(y * z) \ (u \ 1)) = T(x,z \ ((u * y) \ 1)). [hyper(16032,a,18721,a),flip(a)]. 18723 T(x,(y * z) \ (u \ 1)) = T(x,z \ (y \ (u \ 1))). [hyper(280,a,17545,a(flip),b,18722,a),flip(a)]. 18724 T(T(x,(y * z) * u),u \ (z \ (y \ 1))) \ x = a(y,x,K(u,z)). [para(18723(a,1),18717(a,1,1))]. 18725 a(x,y,K(z,u)) = y \ y. [para(17559(a,1),18724(a,1,1)),flip(a)]. 18727 a(x,y,K(z,u)) = 1. [hyper(280,a,61,a(flip),b,18725,a),flip(a)]. 18731 K(x,a(y,z,u)) = 1. [hyper(9665,a,18727,a)]. 18744 L(K(x,y),z,u) = K(x,y). [hyper(47,a,18727,a)]. 18773 T(x,a(y,z,u)) = x. [hyper(51,a,18731,a)]. 18778 L(x,y,K(z,u)) = x. [hyper(11748,a,18773,a)]. 18779 x / a(y,z,u) = a(y,z,u) \ x. [hyper(6107,a,18773,a),flip(a)]. 18780 a(x,y,z) / u = u \ a(x,y,z). [hyper(1059,a,18773,a),flip(a)]. 18782 a(x,y,z) * u = u * a(x,y,z). [hyper(1021,a,18773,a),flip(a)]. 18784 (a(x,y,z) \ u) \ u = a(x,y,z). [hyper(507,a,18773,a)]. 18793 T(a(x,y,z),u) = a(x,y,z). [hyper(49,a,18773,a)]. 18801 x / a(y,z,u) != w | a(y,z,u) \ x = w. [para(18773(a,1),352(a,1))]. 18804 x * a(y,z,u) != w | a(y,z,u) * x = w. [para(18773(a,1),916(a,1)),flip(a)]. 18818 T(x,y \ L(y,z,u)) = x. [para(17180(a,1),18773(a,1,2))]. 18820 (x * L(x \ 1,y,z)) * u = u * (x * L(x \ 1,y,z)). [hyper(11892,a,18778,a)]. 18821 L(x,y,T(z,u)) = L(x,y,z). [hyper(6914,a,18778,a),flip(a)]. 18822 (K(x,y) * z) * u = K(x,y) * (z * u). [hyper(1844,a,18778,a),flip(a)]. 18852 L(x,K(y,z),u) = x. [hyper(58,a,18693,a,b,18778,a)]. 18854 L(x,T(y,z),u) = L(x,y,u). [hyper(58,a,18698,a(flip),b,18778,a)]. 18857 (x / L(y,z,u)) * y = y * (L(y,z,u) \ x). [hyper(58,a,13685,a(flip),b,18778,a)]. 18859 T(L(x,y,z) * u,x) = u * L(x,y,z). [hyper(58,a,11796,a(flip),b,18778,a)]. 18860 (x * K(y,z)) / (u * K(y,z)) = x / u. [hyper(58,a,11079,a(flip),b,18778,a)]. 18866 L(x,y,K(z,u)) != w | x = w. [para(18778(a,1),45(a,2))]. 18869 (K(x,y) * z) * u != w | K(x,y) * (z * u) = w. [para(18778(a,1),263(a,1,2))]. 18875 (x * y) * K(z,u) = x * (y * K(z,u)). [para(18778(a,1),11074(a,1,1)),flip(a)]. 18876 x \ (y * K(z,u)) = (x \ y) * K(z,u). [para(18778(a,1),11081(a,1,1))]. 18885 (x * K(y,z)) * u = x * (K(y,z) * u). [hyper(17303,a,18852,a)]. 18915 K(L(x,y,z),u) = K(x,u). [hyper(9551,a,18744,a)]. 18983 (x * L(y,z,u)) / (x * y) = (x * y) \ (x * L(y,z,u)). [para(18818(a,1),10784(a,1,2))]. 19013 K(x,y) * L(x,z,u) = L(T(x,y),z,u). [para(18915(a,1),2921(a,1,1))]. 19028 a(x,y,T(z,u)) = a(x,y,z). [hyper(58,a,16907,a,b,18793,a)]. 19040 T(x * a(y,z,u),w) = a(y,z,u) * T(x,w). [para(18793(a,1),11375(a,1,1)),flip(a)]. 19050 L(x,y,z * u) = L(x,y,u * z). [hyper(58,a,9154,a(flip),b,18821,a)]. 19052 L(x,y,L(T(z,u),w,v5)) = L(x,y,L(z,w,v5)). [para(20(a,2),18821(a,1,3))]. 19053 L(x,y,z / u) = L(x,y,u \ z). [para(103(a,1),18821(a,1,3)),flip(a)]. 19055 L(x,y,(z \ u) \ u) = L(x,y,z). [para(102(a,1),18821(a,1,3))]. 19077 L(x,y * (z / y),u) = L(x,z,u). [para(912(a,1),18854(a,1,2)),flip(a)]. 19117 a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)). [para(20(a,2),19028(a,1,3))]. 19123 a(x,y,L(z \ 1,z,u)) = a(x,y,u \ (z \ u)). [para(1057(a,1),19028(a,1,3)),flip(a)]. 19126 1 / (a(x \ 1,y,z) \ (u * 1)) = a(x,y \ 1,z \ 1) \ (u \ 1). [hyper(58,a,16943,a(flip),b,18779,a)]. 19127 a(x,y,z) \ (z \ a(x,y,z)) = z \ 1. [hyper(58,a,2520,a(flip),b,18779,a),flip(a)]. 19128 (a(x,y,z) \ u) \ u != w | a(x,y,z) = w. [para(18779(a,1),247(a,1,1)),flip(b)]. 19131 1 / (x \ (a(y \ 1,z,u) * 1)) = (x \ 1) \ a(y,z \ 1,u \ 1). [hyper(58,a,16942,a(flip),b,18780,a)]. 19136 (a(x,y,z) \ 1) / u = u \ (a(x,y,z) \ 1). [hyper(29,a,3547,a(flip),b,18782,a)]. 19140 (x * (y / x)) * (x * a(z,u,w)) = y * (a(z,u,w) * T(x,y)). [para(18782(a,2),4646(a,2,2))]. 19142 ((x * a(y,z,u)) * w) \ (x * (w * a(y,z,u))) = a(w,a(y,z,u),x). [para(18782(a,1),16925(a,2,2,2)),flip(a)]. 19147 L(x,y,(y * x) \ z) = ((z / (y * x)) * y) \ z. [hyper(1384,a,19053,a),flip(a)]. 19153 L(T((x * (y / x)) \ 1,z),y,z) = z \ ((x * (y / x)) \ z). [hyper(58,a,1064,a(flip),b,19077,a),flip(a)]. 19158 (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x,K(y,z) * u,w). [para(18822(a,1),9(a,2,1,2)),flip(a)]. 19159 (K(x,y) * (z * (u * w))) \ (((K(x,y) * z) * u) * w) = a(K(x,y) * z,u,w). [para(18822(a,1),9(a,2,1)),flip(a)]. 19160 (K(x,y) * (z * u)) \ ((K(x,y) * z) * (u * w)) = L(w,u,K(x,y) * z). [para(18822(a,1),13(a,2,1)),flip(a)]. 19182 (x * L(y,z,u)) / y = y \ (L(y,z,u) * x). [hyper(112,a,18859,a(flip),b,898,a(flip))]. 19183 T(x,y) != z * L(y,u,w) | L(y,u,w) * z = x. [para(18859(a,1),44(a,1)),flip(a)]. 19184 (x * y) / (x * L(y,z,u)) = (x * L(y,z,u)) \ (x * y). [para(18859(a,1),15742(a,1,2))]. 19217 x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w). [para(18875(a,1),18876(a,1,2))]. 19221 (x * (y * (K(z,u) * w))) \ ((x * (y * K(z,u))) * w) = a(x,y * K(z,u),w). [para(18885(a,1),9(a,2,1,2)),flip(a)]. 19222 (x * (K(y,z) * (u * w))) \ (((x * K(y,z)) * u) * w) = a(x * K(y,z),u,w). [para(18885(a,1),9(a,2,1)),flip(a)]. 19223 (x * (K(y,z) * u)) \ ((x * K(y,z)) * (u * w)) = L(w,u,x * K(y,z)). [para(18885(a,1),13(a,2,1)),flip(a)]. 19227 (x / y) * (K(z,y) * u) = (x / T(y,z)) * u. [para(4355(a,1),18885(a,1,1)),flip(a)]. 19228 (K(x,y) * z) * (K(y,x) * u) = T(z,K(y,x)) * u. [para(4290(a,1),18885(a,1,1)),flip(a)]. 19229 (x \ y) * (K(y,z) * u) = (x \ T(y,z)) * u. [para(10592(a,1),18885(a,1,1)),flip(a)]. 19230 (x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w). [para(18875(a,1),18885(a,1,1))]. 19235 T(x,y) \ L(T(x,y),z,u) = x \ L(x,z,u). [hyper(111,a,19013,a(flip),b,4006,a)]. 19242 T(a(x,y,z),u) != w | a(x,y,z) = w. [para(411(a,2),19128(a,1))]. 19244 a(x,y,T(z,u)) != w | a(x,y,z) = w. [para(16907(a,2),19242(a,1))]. 19246 a(x,y,L(T(z,u),w,v5)) != v6 | a(x,y,L(z,w,v5)) = v6. [para(20(a,2),19244(a,1,3))]. 19248 a(x,y,(z \ u) \ u) != w | a(x,y,z) = w. [para(102(a,1),19244(a,1,3))]. 19249 a(x,y,z * u) != w | a(x,y,u * z) = w. [para(897(a,1),19244(a,1,3))]. 19250 a(x,y,z / u) != w | a(x,y,u \ z) = w. [para(3508(a,1),19244(a,1,3))]. 19256 a(x,y,z \ (z / u)) != w | a(x,y,z \ (u \ z)) = w. [para(935(a,1),19250(a,1,3))]. 19261 (L(x,y,z) \ a(u,w,v5)) * x = x * (L(x,y,z) \ a(u,w,v5)). [para(18780(a,1),18857(a,1,1))]. 19267 a(x,y,L(x \ (z \ x),u,w)) = a(x,y,L(z \ 1,u,w)). [hyper(58,a,17253,a(flip),b,19117,a)]. 19268 L((x * y) * ((x * y) \ (a(z,x,y) \ 1)),a(z,x,y),x * y) = (x * y) / (z \ ((z * x) * y)). [para(19136(a,1),17235(a,1,1,2))]. 19269 x \ (L(x,y,z) * u) = (u / x) * L(x,y,z). [hyper(2208,a,19182,a),flip(a)]. 19271 L(x \ L(x,y,z),x,y) = a(y \ (x * y),y,z). [para(19235(a,1),17333(a,1,1))]. 19282 a(x,y,z \ 1) \ a(x,y,u \ (z \ u)) = a(u,z,a(x,y,z \ 1) \ 1). [para(19123(a,1),17247(a,1,2))]. 19283 (((x * (y * z)) / (x * z)) * x) \ (x * (y * z)) = L(z,x,L(T(y,z),z,x)). [para(219(a,1),19147(a,1,3)),flip(a)]. 19285 L(x \ L(x,y,z),x,y) = a(T(x,y),y,z). [para(17(a,2),19271(a,2,1))]. 19287 a(x,y,z) = L(x \ L(x,y,z),x,y). [hyper(280,a,16071,a(flip),b,19285,a)]. 19288 a(x,y,z) = (y * x) \ (y * L(x,y,z)). [hyper(280,a,88,a(flip),b,19287,a),flip(a)]. 19289 (x * y) * a(y,x,z) = x * L(y,x,z). [hyper(126,a,19288,a(flip))]. 19290 a(x,y,z) != u | L(x \ L(x,y,z),x,y) = u. [para(19288(a,2),1186(a,1))]. 19291 a(x,y,z) * (y * x) = y * L(x,y,z). [hyper(18804,a,19289,a)]. 19292 (x * y) \ (x * L(y,x,z)) != u | a(y,x,z) = u. [para(19289(a,1),265(a,1,2)),flip(b)]. 19293 (x \ (a(x,y,z) * y)) * L(x,y,a(x,y,z)) = x \ (y * L(x,y,z)). [para(19291(a,1),1307(a,2,2))]. 19295 L(x \ L(x,y,z),x,y) != u | a(x,y,z) = u. [para(88(a,2),19292(a,1))]. 19296 (x * y) \ (x * ((y * z) * K(u,w))) = L(z,y,x) * K(u,w). [para(13(a,2),19217(a,2,1))]. 19297 K(x,y) * (z * (K(y,x) * u)) = T(z,K(y,x)) * u. [hyper(18869,a,19228,a)]. 19298 K(x,y) * ((z \ T(y,x)) * u) = T(z \ y,K(y,x)) * u. [para(19229(a,1),19297(a,1,2))]. 19300 a(x,y,L(z \ 1,z,u)) != w | a(x,y,u \ (z \ u)) = w. [para(336(a,2),19256(a,1,3))]. 19301 x / (y * L(y \ 1,z,u)) = (y * L(y \ 1,z,u)) \ x. [hyper(292,a,18820,a)]. 19303 (x * y) \ (K(x,y) * (y * L(x,z,u))) = (y * L(x,z,u)) / (y * x). [hyper(280,a,4661,a,b,18983,a)]. 19305 ((x / y) * L(y,z,u)) \ ((x / y) * y) = x / ((x / y) * L(y,z,u)). [hyper(58,a,141,a(flip),b,19184,a),flip(a)]. 19307 a(x \ y,z,L(y \ (x \ y),u,w)) = a(x \ y,z,L(x \ 1,u,w)). [para(481(a,1),19267(a,1,3,1))]. 19308 x \ ((y * (z / y)) \ x) = y * ((x \ (z \ x)) / y). [hyper(58,a,6366,a(flip),b,19153,a),flip(a)]. 19309 (x * y) \ (x * (y * (z * K(u,w)))) = L(z,y,x) * K(u,w). [para(18875(a,1),19296(a,1,2,2))]. 19310 L(x * K(y,z),u,w) = L(x,u,w) * K(y,z). [hyper(562,a,19309,a)]. 19315 L(x * K(y,z),u,w) / (v5 * K(y,z)) = L(x,u,w) / v5. [para(19310(a,2),18860(a,1,1))]. 19316 (K(x,y) / z) * L(z * K(y,x),u,w) = L(z,u,w) / z. [hyper(58,a,10670,a(flip),b,19315,a)]. 19318 K(x,y) * L(K(x,y) \ z,u,w) = (L(z,u,w) / z) * z. [para(19316(a,1),10674(a,1,1)),flip(a)]. 19319 K(x,y) * L(K(x,y) \ z,u,w) = L(z,u,w). [hyper(280,a,7,a(flip),b,19318,a),flip(a)]. 19322 L(K(x,y) * z,u,w) = K(x,y) * L(z,u,w). [para(4(a,1),19319(a,1,2,1)),flip(a)]. 19327 L(K(x,y) * z,z \ 1,u) = K(x,y) * L(z,z,u \ 1). [para(15867(a,1),19322(a,2,2))]. 19329 (x / y) * L(K(z,y) * u,w,v5) = (x / T(y,z)) * L(u,w,v5). [para(19322(a,2),19227(a,1,2))]. 19330 L(K(x,y) * z,z \ 1,u) = L(K(x,y) * z,z,u \ 1). [hyper(280,a,19322,a,b,19327,a),flip(a)]. 19331 (x * (y / x)) * (x * a(z,u,w)) = y * T(x * a(z,u,w),y). [para(19040(a,2),19140(a,2,2))]. 19332 x * (L(x,y,z) \ a(x,y,z)) = a(a(x,y,z),x,y * z). [hyper(58,a,15903,a(flip),b,19261,a),flip(a)]. 19333 (x / T(y,x)) * L((y \ x) \ z,u,w) = (x / y) * L((x / y) \ z,u,w). [hyper(58,a,7544,a(flip),b,19329,a),flip(a)]. 19335 (x * (y / x)) * (x * a(z,u,w)) = (x * a(z,u,w)) * y. [hyper(280,a,101,a(flip),b,19331,a),flip(a)]. 19336 ((x * a(y,z,u)) * w) \ ((x * w) * a(y,z,u)) = a(w,x,a(y,z,u)). [para(19335(a,1),16921(a,2,1)),flip(a)]. 19337 a(x,y \ 1,z \ 1) \ (u \ 1) = 1 / (a(x \ 1,y,z) \ u). [para(3(a,1),19126(a,1,2,2)),flip(a)]. 19338 a(x,y \ 1,z \ 1) \ (u \ 1) = (a(x \ 1,y,z) \ u) \ 1. [hyper(280,a,376,a(flip),b,19337,a),flip(a)]. 19341 (x \ 1) \ a(y,z \ 1,u \ 1) = 1 / (x \ a(y \ 1,z,u)). [para(3(a,1),19131(a,1,2,2)),flip(a)]. 19343 (x \ 1) \ a(y,z \ 1,u \ 1) != w | (x \ a(y \ 1,z,u)) \ 1 = w. [para(19341(a,2),387(a,1))]. 19344 (x \ (a(x,y,z) * y)) * x = x \ (y * L(x,y,z)). [para(17194(a,1),19293(a,1,2))]. 19345 T(a(x,y,z) * y,x) = x \ (y * L(x,y,z)). [hyper(954,a,19344,a)]. 19346 T(a(x,y,z) * y,x) = (x \ y) * L(x,y,z). [hyper(280,a,1250,a(flip),b,19345,a),flip(a)]. 19347 L(x,y,z) * (x \ y) = a(x,y,z) * y. [hyper(19183,a,19346,a)]. 19348 x \ (a(y,x,z) \ x) = x \ (a(z,x,y) * x). [para(19347(a,1),17466(a,1,2)),flip(a)]. 19349 x \ (a(y,x,z) \ x) = T(a(z,x,y),x). [hyper(280,a,17,a,b,19348,a),flip(a)]. 19350 x \ (a(y,x,z) \ x) = a(z,x,y). [hyper(280,a,18793,a(flip),b,19349,a),flip(a)]. 19353 a(x,y,z) \ y = y * a(z,y,x). [hyper(126,a,19350,a),flip(a)]. 19354 L(a(x,y,z),y \ (a(z,y,x) \ y),y) = ((a(z,y,x) \ y) \ y) \ 1. [para(19350(a,1),15874(a,1,1))]. 19355 (x * y) \ (y * (K(x,y) * L(x,z,u))) = (y * L(x,z,u)) / (y * x). [para(4183(a,1),19303(a,1,2))]. 19359 x / ((x / y) * L(y,z,u)) = ((x / y) * L(y,z,u)) \ x. [para(7(a,1),19305(a,1,2)),flip(a)]. 19360 x / ((x / y) * L(y,z,u)) = x \ ((x / L(y,z,u)) * y). [hyper(280,a,693,a(flip),b,19359,a),flip(a)]. 19361 x / ((x / y) * L(y,z,u)) = x \ (y * (L(y,z,u) \ x)). [para(18857(a,1),19360(a,2,2))]. 19362 ((x * a(x,y,z)) * u) \ (x * (u * a(x,y,z))) = a(u,x,a(x,y,z)). [para(17195(a,1),19336(a,1,2))]. 19363 L(a(x,y,z),a(x,y,z),y) = ((a(z,y,x) \ y) \ y) \ 1. [para(19350(a,1),19354(a,1,2))]. 19364 L(a(x,y,z),a(x,y,z),y) = a(z,y,x) \ 1. [para(18784(a,1),19363(a,2,1))]. 19366 (x * y) \ (y * L(T(x,y),z,u)) = (y * L(x,z,u)) / (y * x). [para(19013(a,1),19355(a,1,2,2))]. 19367 (x * L(y,z,u)) / (x * y) = (y * x) \ (L(y,z,u) * x). [para(224(a,1),19366(a,1,2)),flip(a)]. 19368 (x * y) \ (L(x,z,u) * y) = (y * x) \ (y * L(x,z,u)). [hyper(58,a,18983,a(flip),b,19367,a),flip(a)]. 19369 a(x,y,z) = (x * y) \ (L(x,y,z) * y). [hyper(280,a,19288,a,b,19368,a)]. 19370 a(x \ (L(x,y,z) * y),x,y) = a(a(x,y,z),x,y). [para(19369(a,2),17039(a,1,1)),flip(a)]. 19371 a(x,a(y,z,u),y) = a(x,y,a(y,z,u)). [hyper(58,a,19142,a(flip),b,19362,a)]. 19372 (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). [para(18822(a,1),19160(a,1,2))]. 19373 (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x * K(y,z)). [para(18885(a,1),19223(a,1,2))]. 19374 L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z). [hyper(1190,a,19372,a)]. 19376 L(x,y,K(z,u) * w) = L(x,y,w). [hyper(18866,a,19374,a),flip(a)]. 19382 L(x,y,z * K(u,w)) = L(x,y,z). [hyper(58,a,19050,a,b,19376,a)]. 19384 L(x,y,z \ T(u,w)) = L(x,y,z \ u). [para(3194(a,1),19376(a,1,3))]. 19385 L(x,y,(z * (u / z)) \ w) = L(x,y,u \ w). [para(4493(a,2),19376(a,1,3))]. 19400 L(T(x,y),z,z \ 1) = L(T(x,y),z,z \ x). [hyper(8762,a,19384,a)]. 19628 a(x \ y,z,L(T(y,u),x,x \ 1)) = a(x \ y,z,T(y,u)). [para(19400(a,2),17245(a,1,3))]. 19635 a(x \ y,z,T(y,u)) = a(x \ y,z,L(y,x,x \ 1)). [hyper(19246,a,19628,a),flip(a)]. 19638 L(L(x,y,K(z,u)),K(z,u) * y,w) = L(x,y,w * K(z,u)). [hyper(1190,a,19373,a)]. 19641 L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)). [para(18778(a,1),19638(a,1,1))]. 19642 L(x,K(y,z) * u,w) = L(x,u,w). [hyper(280,a,19382,a(flip),b,19641,a),flip(a)]. 19648 L(x,y * K(z,u),w) = L(x,y,w). [para(3774(a,1),19642(a,1,2))]. 19655 L(x,y \ K(z,u),w) = L(x,y \ 1,w). [para(10497(a,1),19648(a,1,2))]. 19657 (x \ K(y,z)) \ a(x \ K(y,z),x \ K(y,z),u) = L((x \ K(y,z)) \ 1,x \ 1,u \ 1). [hyper(58,a,15860,a(flip),b,19655,a)]. 19658 a(x,y,z \ 1) \ a(x,y,u \ (z \ u)) = a(u,z,a(x \ 1,y \ 1,z)). [para(16937(a,2),19282(a,2,3))]. 19659 (((x * (y * z)) / (x * z)) * x) \ (x * (y * z)) = L(z,x,L(y,z,x)). [hyper(280,a,19052,a(flip),b,19283,a),flip(a)]. 19661 (x * (y * z)) \ (((x * (y * z)) / x) * (x * z)) = L(z,x,L(y,z,x)). [hyper(58,a,693,a(flip),b,19659,a)]. 19662 L(x \ (x * y),x,z * y) = L(y,x,L(z,y,x)). [hyper(58,a,6693,a(flip),b,19661,a)]. 19663 L(x,y,L(z,x,y)) = L(x,y,z * x). [para(4(a,1),19662(a,1,1)),flip(a)]. 19664 L(x \ L(x,y,z * x),x,y) = a(x,y,L(z,x,y)). [para(19663(a,1),19287(a,2,1,2)),flip(a)]. 19665 a(x,y,L(z,x,y)) = a(x,y,z * x). [hyper(19295,a,19664,a),flip(a)]. 19666 a(x,y,L(z,x,y)) != u | a(x,y,z * x) = u. [para(19664(a,1),19295(a,1))]. 19669 (x / y) * L((x / y) \ z,u,w) = (y \ x) * L((y \ x) \ z,u,w). [para(428(a,1),19333(a,1,1)),flip(a)]. 19670 (x \ y) * L((x \ y) \ 1,z,u) = y / (L(x / y,z,u) \ x). [hyper(58,a,8975,a(flip),b,19669,a),flip(a)]. 19671 ((x / ((y \ x) * L((y \ x) \ 1,z,u))) / y) \ x = ((x / y) \ x) * ((x / y) * L((x / y) \ 1,z,u)). [para(19669(a,1),8194(a,1,1,1,2))]. 19673 (K(x,y) * (z * (u * w))) \ ((K(x,y) * (z * u)) * w) = a(K(x,y) * z,u,w). [para(18822(a,1),19159(a,1,2,1))]. 19674 (x * (y * (K(z,u) * w))) \ ((x * y) * (K(z,u) * w)) = a(x,y * K(z,u),w). [para(19230(a,1),19221(a,1,2))]. 19675 (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x * K(y,z),u,w). [para(18885(a,1),19222(a,1,2,1))]. 19676 (K(x,y) * (z * (u * w))) \ (K(x,y) * ((z * u) * w)) = a(K(x,y) * z,u,w). [para(18822(a,1),19673(a,1,2))]. 19678 a(x,y * K(z,u),w) != v5 | a(x,y,K(z,u) * w) = v5. [para(19674(a,1),823(a,1))]. 19681 a(x * K(y,z),u,w) = a(x,K(y,z) * u,w). [hyper(58,a,19158,a(flip),b,19675,a),flip(a)]. 19683 L(a(x,y,z),x * (y * z),K(u,w)) = a(K(u,w) * x,y,z). [hyper(1191,a,19676,a)]. 19685 a(K(x,y) * z,u,w) = a(z,u,w). [hyper(18866,a,19683,a),flip(a)]. 19691 a(x * K(y,z),u,w) = a(x,u,w). [hyper(58,a,14409,a(flip),b,19685,a)]. 19692 a(T(x,y),z,u) = a(x,z,u). [para(2043(a,2),19685(a,1,1))]. 19694 a(x \ T(y,z),u,w) = a(x \ y,u,w). [para(3194(a,1),19685(a,1,1))]. 19695 a(T(x,y) \ z,u,w) = a(x \ z,u,w). [para(4012(a,1),19685(a,1,1)),flip(a)]. 19696 a((x * y) \ z,u,w) = a((y * x) \ z,u,w). [para(4261(a,1),19685(a,1,1))]. 19697 a((x * (y / x)) \ z,u,w) = a(y \ z,u,w). [para(4493(a,2),19685(a,1,1))]. 19698 a(T(x * y,T(x,z)),u,w) = a(y * T(x,z),u,w). [para(4383(a,1),19685(a,1,1))]. 19715 a(T(x,y),z,T(u,w)) != v5 | a(x,z,u) = v5. [para(19692(a,2),19244(a,1))]. 19721 a(x,K(y,z) * u,w) = a(x,u,w). [hyper(58,a,19681,a(flip),b,19691,a)]. 19722 a(x * (y / z),u,w) = a(x * (z \ y),u,w). [para(3137(a,1),19691(a,1,1))]. 19723 a(x \ K(y,z),u,w) = a(x \ 1,u,w). [para(10497(a,1),19691(a,1,1))]. 19724 a(x \ (y / z),u,w) = a(x \ (z \ y),u,w). [para(10659(a,1),19691(a,1,1)),flip(a)]. 19731 a(x,T(y,z),u) = a(x,y,u). [para(2043(a,2),19721(a,1,2))]. 19732 a(x,y * z,u) = a(x,z * y,u). [para(2860(a,1),19721(a,1,2))]. 19737 a(T(x,y) \ (z \ (x * y)),x,y) = a(y,T(x,y),z). [hyper(17243,a,19731,a),flip(a)]. 19747 a(x,K(y,z) * u,w) = a(x,u,K(y,z) * w). [hyper(19678,a,19732,a),flip(a)]. 19748 a((x \ (x / y)) \ z,u,w) = a((x \ (y \ x)) \ z,u,w). [para(989(a,1),19695(a,1,1,1)),flip(a)]. 19749 a(T(x,y),z,u) != w | a(x,z,u) = w. [para(100(a,1),19715(a,1,3))]. 19755 a((x * y) \ z,u,T(w,v5)) != v6 | a((y * x) \ z,u,w) = v6. [para(19696(a,1),19244(a,1))]. 19756 a(x \ (y \ x),x,z) = y * L(y \ 1,x,z). [hyper(17086,a,19724,a),flip(a)]. 19757 a(x \ (y / z),x,z) = a(x \ y,x,z). [hyper(280,a,16955,a(flip),b,19724,a),flip(a)]. 19759 a(x \ (y * z),x,z) = a(x \ y,x,z). [para(6(a,1),19757(a,1,1,2)),flip(a)]. 19760 a(x \ ((y * z) * u),x,z * u) = a(x \ L(y,z,u),x,z * u). [para(11075(a,2),19757(a,1,1,2)),flip(a)]. 19761 a(L(x \ y,x,x \ z),z,y) = a(z \ (z / x),z,y). [para(6682(a,2),19759(a,1,1))]. 19762 a(x,y,K(z,u) * w) = a(x,y,w). [hyper(58,a,19721,a(flip),b,19747,a),flip(a)]. 19766 a(x,y,z \ T(u,w)) = a(x,y,z \ u). [para(3194(a,1),19762(a,1,3))]. 19768 a(x,y,(z * u) \ w) = a(x,y,(u * z) \ w). [para(4261(a,1),19762(a,1,3))]. 19771 a(x,y,L(K(z,u) * w,v5,v6)) = a(x,y,L(w,v5,v6)). [para(19322(a,2),19762(a,1,3))]. 19774 a(x \ (y \ x),x,z) = a(z,x,y). [hyper(280,a,17172,a,b,19756,a),flip(a)]. 19777 L(a(x \ (y \ x),x,z),u,w) = a(L(z,u,w),x,y). [hyper(17266,a,19774,a)]. 19778 x \ L(x,y,y \ (z \ y)) = a(x \ 1,y,z). [hyper(17185,a,19774,a)]. 19779 a(x \ y,y,y) = a(y,y,x). [hyper(17022,a,19774,a)]. 19780 a(x \ 1,a(y,z,x),u) = a(u,a(y,z,x),x). [para(19127(a,1),19774(a,1,1))]. 19781 a(x,y,y \ (z \ y)) = y \ (a(x,y,z) \ y). [para(19774(a,1),19350(a,1,2,1)),flip(a)]. 19782 L(x \ 1,x,y \ x) = x \ a(x,x,y). [hyper(111,a,19779,a(flip),b,17172,a(flip)),flip(a)]. 19783 T(x \ a(x,x,y),y \ 1) = (y \ x) \ (x \ (y \ x)). [para(19782(a,1),11267(a,1,1))]. 19784 a(x,y,(z \ u) \ (u \ (z \ u))) = a(x,y,u \ a(u,u,z)). [para(19782(a,1),19123(a,1,3)),flip(a)]. 19786 a(x,y,L(z \ u,z,w)) = a(x,y,(z * w) \ (w * u)). [para(88(a,2),19768(a,1,3))]. 19789 a(x,a(y,z,x) \ 1,u \ 1) = a(u,a(y,z,x),x) \ 1. [para(19780(a,1),16939(a,2,1))]. 19790 a(x,y,y \ (z \ y)) = a(z,y,x). [hyper(280,a,19350,a(flip),b,19781,a),flip(a)]. 19791 a(x,y,z) = L(z \ L(z,y,y \ (x \ y)),z,y). [hyper(19290,a,19790,a),flip(a)]. 19792 L(a(x,y,z) \ 1,y \ (x \ y),y) = a(z \ 1,y \ 1,(x \ y) \ y). [para(19790(a,1),17276(a,1,1,1))]. 19795 L(a(x \ 1,y,z),x,y) = a(z,y,x). [para(19778(a,1),19791(a,2,1)),flip(a)]. 19796 a(x \ 1,y,L(z,x,y)) = a(z,y,x). [hyper(58,a,17244,a,b,19795,a)]. 19798 a(x * T(y,z),u,w) != v5 | a(y * x,u,w) = v5. [para(19698(a,1),19749(a,1))]. 19801 a(x \ (y \ (x * z)),x,z) = a(z,T(x,z),y). [hyper(58,a,19695,a(flip),b,19737,a)]. 19802 a(x \ (y \ (x * z)),x,z) = a(z,x,y). [hyper(280,a,19731,a(flip),b,19801,a),flip(a)]. 19805 a(L(x \ 1,x,y * z),y,z) = a(z,y,x). [hyper(58,a,17055,a,b,19802,a)]. 19806 a(L(x \ 1,x,a(y,z,u) * y),y,a(y,z,u)) = a(y,a(y,z,u),x). [hyper(58,a,19371,a(flip),b,19805,a)]. 19807 a(((x * y) / z) \ ((x * y) * 1),x,y) = a(y,x,L(z \ 1,z,x * y)). [para(579(a,1),19805(a,1,1))]. 19808 a(L(x \ 1,x,y * z),z,y) = a(y,z,x). [para(10751(a,1),19805(a,1,1))]. 19809 a(L(x,y,z),u,w) = L(a(x,u,w),y,z). [para(19774(a,1),19777(a,1,1)),flip(a)]. 19811 a(L(x,y,z),u,w) = a(x,u,L(w,y,z)). [hyper(280,a,17244,a,b,19809,a),flip(a)]. 19813 a(x,y,L(z,z,y)) = a(z * x,y,z). [hyper(17268,a,19809,a(flip)),flip(a)]. 19815 a(L(x,y,z),z,L(y,u,w)) = a(y * L(x,u,w),z,y). [hyper(58,a,17051,a(flip),b,19811,a),flip(a)]. 19816 a(x \ y,z,L(u,x,x \ 1)) = a((x \ 1) * y,z,u). [para(680(a,1),19811(a,1,1)),flip(a)]. 19817 a((x \ y) \ z,u,L(w,x \ y,x)) = a(y \ (x * z),u,w). [para(569(a,1),19811(a,1,1)),flip(a)]. 19818 a(x \ y,z,L(u,x \ y,x)) = a((y \ x) \ 1,z,u). [para(15874(a,1),19811(a,1,1)),flip(a)]. 19819 a(L(x,y,z) \ 1,u \ 1,w) = a(x,u,L(w \ 1,y,z)) \ 1. [para(19811(a,1),16937(a,2,1))]. 19820 a(L(x \ y,x,x \ z),z,y) = a(z \ (x \ z),z,y). [hyper(280,a,19724,a(flip),b,19761,a),flip(a)]. 19821 (x \ 1) \ (y \ (x \ 1)) = (x \ y) \ (y \ (x \ y)). [hyper(58,a,15861,a(flip),b,19783,a)]. 19823 a(x,y \ 1,(y \ z) \ (z \ (y \ z))) = a(z,y \ 1,x). [para(19821(a,1),19790(a,1,3))]. 19824 a(x,y,L(x \ z,x,u)) = a(x,y,u \ (x \ (u * z))). [hyper(280,a,17252,a(flip),b,19786,a),flip(a)]. 19825 a(x * L(y,z,u),w,x) = a(x * y,w,L(x,z,u)). [hyper(58,a,17267,a(flip),b,19815,a),flip(a)]. 19826 a(x \ y,z,T(y,u)) = a((x \ 1) * y,z,y). [hyper(58,a,19635,a,b,19816,a)]. 19827 a((x \ 1) * y,z,y) = a(x \ y,z,y). [hyper(19244,a,19826,a),flip(a)]. 19828 a(x \ T(y,z),u,T(y,z)) = a(y * (x \ 1),u,T(y,z)). [hyper(19798,a,19827,a),flip(a)]. 19829 a((x \ y) \ 1,z,y) = a(y \ x,z,y). [para(844(a,1),19818(a,1,3)),flip(a)]. 19830 a((x \ y) \ 1,z,L(y,u,w)) = a(y \ x,z,L(y,u,w)). [para(855(a,1),19818(a,1,3)),flip(a)]. 19831 a(x \ (y \ 1),z \ 1,y) \ 1 = a((y \ 1) \ x,z,y \ 1). [hyper(58,a,16936,a(flip),b,19829,a)]. 19832 a(x \ (x / y),z,x) = a(y \ 1,z,x). [para(70(a,1),19829(a,1,1,1)),flip(a)]. 19834 a(x \ (y \ x),z,x) = a(y \ 1,z,x). [hyper(58,a,19724,a(flip),b,19832,a)]. 19835 a(x \ (x \ (x / y)),z,x) = a((x * y) \ 1,z,x). [para(304(a,1),19834(a,1,1,2))]. 19836 a(x \ (x \ (y \ x)),z,x) = a((y * x) \ 1,z,x). [para(479(a,1),19834(a,1,1,2))]. 19837 a(L((x * (y / x)) \ z,x * (y / x),y \ u),u,z) = a(u \ ((x * (y / x)) \ u),u,z). [para(19385(a,1),19820(a,1,1))]. 19838 a(x \ T(y,z),u,T(y,z)) = a(y * (x \ 1),u,y). [hyper(280,a,19028,a(flip),b,19828,a),flip(a)]. 19839 a(x \ T(y,z),u,y) = a(y * (x \ 1),u,y). [hyper(19244,a,19838,a)]. 19842 a(x * (y \ 1),z,x) = a(y \ x,z,x). [hyper(58,a,19694,a(flip),b,19839,a),flip(a)]. 19843 a((x * y) \ z,u,w) != v5 | a((y * x) \ z,u,w) = v5. [para(100(a,1),19755(a,1,3))]. 19845 a(x,y \ 1,z \ a(z,z,y)) = a(z,y \ 1,x). [hyper(58,a,19823,a(flip),b,19784,a),flip(a)]. 19846 a(x,y \ 1,(z \ K(u,w)) \ a(z \ K(u,w),z \ K(u,w),y)) = a(z \ 1,y \ 1,x). [hyper(280,a,19723,a(flip),b,19845,a),flip(a)]. 19847 a((x \ y) \ z,u,x \ 1) = a(y \ (x * z),u,x \ 1). [para(7023(a,1),19817(a,1,3))]. 19848 a(L(x,y,z) \ 1,u \ 1,y) = a(x \ 1,u \ 1,L(y,y,z)). [hyper(280,a,16941,a,b,19819,a),flip(a)]. 19849 a(a(x,y,z),x,u) = a(x,a(x,y,z),u). [hyper(58,a,19808,a(flip),b,19806,a)]. 19850 L(a(x,y,z) \ 1,y \ (x \ y),y) = a(z \ 1,y \ 1,x). [hyper(19248,a,19792,a(flip)),flip(a)]. 19852 L(a(x,y,z) \ 1,y \ (x \ y),y) != u | a(z \ 1,y \ 1,x) = u. [para(19792(a,2),19248(a,1))]. 19854 L(a(x,y,z * x) \ 1,y \ (x \ y),y) = a(L(z,x,y) \ 1,y \ 1,x). [para(19665(a,1),19850(a,1,1,1))]. 19856 a(((x * y) / z) \ (x * y),x,y) = a(y,x,L(z \ 1,z,x * y)). [para(3(a,1),19807(a,1,1,2))]. 19857 a(x,y,L(z \ 1,z,y * x)) = a(z,y,x). [para(70(a,1),19856(a,1,1)),flip(a)]. 19858 a(x \ 1,y \ 1,L(z \ 1,z,(x * y) \ 1)) = a(z,y \ 1,x \ 1). [para(512(a,1),19857(a,1,3,3))]. 19859 a(x,y,a(y,z,L(u \ 1,u,z * y))) = a(x,a(u,z,y),y). [para(19857(a,1),19371(a,1,2)),flip(a)]. 19860 a(x,a(x,y,L(z \ 1,z,y * x)),u) = a(a(z,y,x),x,u). [para(19857(a,1),19849(a,1,1)),flip(a)]. 19861 a(x,a(y,z,u),u) = a(x,u,a(y,z,u)). [para(19857(a,1),19859(a,1,3)),flip(a)]. 19862 a(x \ 1,a(y,z,x),u) = a(u,x,a(y,z,x)). [hyper(58,a,19780,a,b,19861,a)]. 19863 x / a(y \ 1,z \ 1,u \ a(x,u,a(y,z,u))) = x * a(y,z,u). [para(19861(a,1),17279(a,1,2,3,2))]. 19864 L(a(a(x,y,z),z,u),a(a(x,y,z),z,u),z) = a(u,a(x,y,z),z) \ 1. [para(19861(a,2),19364(a,2,1))]. 19865 a(x,y \ 1,a(z,u,y \ 1)) = a(y,a(z,u,y \ 1),x). [para(378(a,1),19862(a,1,1)),flip(a)]. 19866 a(a(x,y,z),z,u) = a(z,a(x,y,z),u). [para(19857(a,1),19860(a,1,2)),flip(a)]. 19867 a(x \ 1,y \ 1,z \ a(u,z,a(x,y,z))) \ u = u * a(x,y,z). [hyper(18801,a,19863,a)]. 19868 a(x \ a(y \ 1,x,a(z,y,x)),y \ 1,z \ 1) = a(z,y,x). [hyper(29,a,19353,a(flip),b,19867,a(flip))]. 19870 a(x \ 1,y \ 1,z \ a(z,a(z,u,w),a(x,y,z))) \ a(z,u,w) = a(z,u,w) * a(x,y,z). [para(19849(a,1),19867(a,1,1,3,2))]. 19871 L(a(x,y,z) \ 1,z,(x * y) \ 1) = a(z,y \ 1,x \ 1). [hyper(58,a,17250,a(flip),b,19858,a)]. 19872 a((x * y) \ 1,z,(a(x,y,z) \ 1) \ 1) = (a(x,y,z) \ 1) \ a(z,y \ 1,x \ 1). [hyper(111,a,19871,a(flip),b,17199,a(flip)),flip(a)]. 19873 (a(x,y,z) \ 1) \ L(a(x,y,z) \ 1,z,(x * y) \ 1) = (a(z,y \ 1,x \ 1) \ (a(x,y,z) \ 1)) \ 1. [para(19871(a,1),1262(a,1,1,1)),flip(a)]. 19874 L(a(x,a(y,z,x),u),a(a(y,z,x),x,u),x) = a(u,a(y,z,x),x) \ 1. [para(19866(a,1),19864(a,1,1))]. 19875 a(x,a(y,z,u),u) \ 1 = a(u,a(y,z,u),x). [hyper(58,a,17223,a(flip),b,19874,a),flip(a)]. 19877 a(x,a(y,z,x) \ 1,u \ 1) = a(x,a(y,z,x),u). [hyper(58,a,19789,a,b,19875,a)]. 19878 a(x,y,a(z,u,y)) \ 1 = a(y,a(z,u,y),x). [para(19861(a,1),19875(a,1,1))]. 19879 a(x,a(y,z,x),u) \ 1 = a(u,x,a(y,z,x)). [hyper(383,a,19878,a)]. 19884 a(L(x,y,z) \ 1,z \ 1,y) = a((x * y) \ 1,z \ 1,y). [hyper(19852,a,19854,a),flip(a)]. 19885 a(x \ 1,y \ 1,L(z,z,y)) = a((x * z) \ 1,y \ 1,z). [hyper(58,a,19848,a(flip),b,19884,a)]. 19888 (a(x,y,z) \ 1) \ a(z,y \ 1,x \ 1) = a((x * y) \ 1,z,a(x,y,z)). [hyper(19248,a,19872,a),flip(a)]. 19890 a(L((x * (y / x)) \ z,y,y \ u),u,z) = a(u \ ((x * (y / x)) \ u),u,z). [para(19077(a,1),19837(a,1,1))]. 19892 a(L((x * (y / x)) \ z,y,y \ u),u,z) = a(x * ((u \ (y \ u)) / x),u,z). [para(19308(a,1),19890(a,2,1))]. 19893 a(L((x * (y / x)) \ z,y,y \ u),u,z) = a(x * (x \ (u \ (y \ u))),u,z). [hyper(280,a,19722,a(flip),b,19892,a),flip(a)]. 19894 a(L((x * (y / x)) \ z,y,y \ u),u,z) = a(u \ (y \ u),u,z). [para(5(a,1),19893(a,2,1))]. 19895 a(L((x * (y / x)) \ z,y,y \ u),u,z) = a(z,u,y). [hyper(280,a,19774,a(flip),b,19894,a),flip(a)]. 19897 a((x * (y / x)) \ z,u,L(z,y,y \ u)) = a(z,u,y). [hyper(58,a,19811,a(flip),b,19895,a)]. 19898 a(x \ y,z,L(y,x,x \ z)) = a(y,z,x). [hyper(58,a,19697,a(flip),b,19897,a)]. 19899 (x \ K(y,z)) \ a(x \ K(y,z),x \ K(y,z),u) = L(K(z,y) * x,x \ 1,u \ 1). [para(10588(a,1),19657(a,2,1))]. 19900 (x \ K(y,z)) \ a(x \ K(y,z),x \ K(y,z),u) = L(K(z,y) * x,x,(u \ 1) \ 1). [hyper(280,a,19330,a(flip),b,19899,a),flip(a)]. 19901 (x \ K(y,z)) \ a(x \ K(y,z),x \ K(y,z),u) = L(K(z,y) * x,x,u). [hyper(280,a,19055,a(flip),b,19900,a),flip(a)]. 19903 a(x,y \ 1,L(K(z,u) * w,w,y)) = a(w \ 1,y \ 1,x). [para(19901(a,1),19846(a,1,3))]. 19904 a(x,y \ 1,L(z,z,y)) = a(z \ 1,y \ 1,x). [hyper(58,a,19771,a(flip),b,19903,a)]. 19905 a((x * y) \ 1,z \ 1,y) = a(y \ 1,z \ 1,x \ 1). [hyper(58,a,19885,a(flip),b,19904,a)]. 19906 a((x * y) \ 1,z \ 1,y) = a(y,z,x) \ 1. [hyper(280,a,16928,a(flip),b,19905,a),flip(a)]. 19907 a(x * (y \ 1),z,y) = a(y \ 1,z,x). [hyper(16938,a,19906,a)]. 19908 L(a(x,y,z) \ 1,a(x,y,z),y * z) = (y * z) / (x \ ((x * y) * z)). [para(5(a,1),19268(a,1,1))]. 19909 (x \ ((x * y) * z)) \ ((y * z) * 1) = (y * z) / (x \ ((x * y) * z)). [hyper(58,a,17234,a(flip),b,19908,a)]. 19911 (x * y) / (z \ ((z * x) * y)) = (z \ ((z * x) * y)) \ (x * y). [para(3(a,1),19909(a,1,2)),flip(a)]. 19912 ((x * y) * z) / (x \ (((x * y) * z) * ((y * z) \ ((x * y) * z)))) = (x \ ((x * y) * z)) \ (y * z). [hyper(58,a,817,a,b,19911,a)]. 19914 a(x \ 1,y \ 1,z \ 1) \ a(z,u,w) = a(z,u,w) * a(x,y,z). [para(17187(a,1),19870(a,1,1,3,2))]. 19916 ((x * y) * z) / (x \ (((x * y) * z) * L(T(x,y * z),y,z))) = (x \ ((x * y) * z)) \ (y * z). [para(11086(a,1),19912(a,1,2,2,2))]. 19917 ((x * y) * z) / (x \ (L(x,y,z) * ((x * y) * z))) = (x \ ((x * y) * z)) \ (y * z). [para(1585(a,1),19916(a,1,2,2))]. 19918 ((x * y) * z) / ((((x * y) * z) / x) * L(x,y,z)) = (x \ ((x * y) * z)) \ (y * z). [para(19269(a,1),19917(a,1,2))]. 19919 ((x * y) * z) \ (x * (L(x,y,z) \ ((x * y) * z))) = (x \ ((x * y) * z)) \ (y * z). [hyper(58,a,19361,a(flip),b,19918,a)]. 19920 (x \ ((x * y) * z)) \ (y * z) = ((x * y) * z) \ (x * (y * z)). [para(11076(a,1),19919(a,1,2,2)),flip(a)]. 19921 a(x,y,z) = (z \ ((z * y) * x)) \ (y * x). [hyper(280,a,16925,a,b,19920,a)]. 19923 L(a(x,y,z) \ 1,(z \ ((z * y) * x)) \ (y * x),y * x) = (y * x) \ (z \ ((z * y) * x)). [para(19921(a,2),355(a,1,1,1))]. 19924 (x \ (x * L(y,x,z))) \ (y * a(y,x,z)) = a(a(y,x,z),y,x). [para(19289(a,1),19921(a,2,1,2)),flip(a)]. 19925 L(x,y,z) \ (x * a(x,y,z)) = a(a(x,y,z),x,y). [para(4(a,1),19924(a,1,1))]. 19926 x * (L(x,y,z) \ a(x,y,z)) = a(a(x,y,z),x,y). [hyper(58,a,1916,a(flip),b,19925,a)]. 19928 a(a(x,y,z),x,y * z) = a(a(x,y,z),x,y). [hyper(58,a,19332,a(flip),b,19926,a)]. 19929 a(x \ ((x * y) * z),x,y * z) = a(a(x,y,z),x,y). [hyper(58,a,17045,a,b,19928,a)]. 19930 a(x \ L(x,y,z),x,y * z) = a(a(x,y,z),x,y). [hyper(58,a,19760,a(flip),b,19929,a)]. 19931 L(a(x,y,z) \ 1,a(x,y,z),y * x) = (y * x) \ (z \ ((z * y) * x)). [para(19921(a,2),19923(a,1,2))]. 19932 L(a(x,y,z) \ 1,a(x,y,z),y * x) = a(z,y,x). [hyper(280,a,17232,a,b,19931,a),flip(a)]. 19933 L(a(x,y,z) \ 1,a(x,y,z),y * x) != u | a(z,y,x) = u. [para(19931(a,2),17233(a,1))]. 19934 L(a(x,y,z \ (x \ u)) \ 1,a(x,y,(x * z) \ u),y * x) = a((x * z) \ u,y,x). [para(17252(a,1),19932(a,1,1,1))]. 19935 L(a(x,y,z \ (x \ u)) \ 1,a(x,y,z \ (x \ u)),y * x) = a((x * z) \ u,y,x). [para(17252(a,1),19934(a,1,2))]. 19936 a((x * y) \ z,u,x) = a(y \ (x \ z),u,x). [hyper(19933,a,19935,a),flip(a)]. 19937 a((x * y) \ z,u,y) = a(x \ (y \ z),u,y). [hyper(19843,a,19936,a)]. 19940 a(x \ (y \ 1),z \ 1,y) = a(y,z,x) \ 1. [hyper(58,a,19906,a(flip),b,19937,a),flip(a)]. 19942 a((x \ 1) \ y,z,x \ 1) = (a(x,z,y) \ 1) \ 1. [para(19940(a,1),19831(a,1,1)),flip(a)]. 19943 a((x \ 1) \ y,z,x \ 1) = a(x,z,y). [hyper(280,a,18784,a(flip),b,19942,a),flip(a)]. 19945 a(1 \ (x * y),z,x \ 1) = a(x,z,y). [hyper(58,a,19847,a(flip),b,19943,a)]. 19946 a((x * (y \ 1)) \ 1,z,y \ 1) = a(y,z,(y \ 1) \ (x \ (y \ 1))). [hyper(58,a,19836,a(flip),b,19943,a)]. 19947 a(((x \ 1) * y) \ 1,z,x \ 1) = a(x,z,(x \ 1) \ ((x \ 1) / y)). [hyper(58,a,19835,a(flip),b,19943,a)]. 19948 a(x \ 1,y,z \ 1) = a(z,y,x \ (z \ 1)). [hyper(58,a,19834,a(flip),b,19943,a)]. 19949 a(x * y,z,x \ 1) = a(x,z,y). [para(60(a,1),19945(a,1,1))]. 19950 L(x * y,x,x \ 1) = a(x,x,y) * (x * y). [para(19949(a,1),3971(a,1,1)),flip(a)]. 19951 a((x \ 1) * y,z,x \ (((x \ 1) * y) \ 1)) = a(x \ 1,z,y \ ((x \ 1) \ 1)). [hyper(58,a,17252,a(flip),b,19948,a),flip(a)]. 19952 a(x,y \ 1,z \ (x \ 1)) = a(z,y,x) \ 1. [hyper(58,a,16928,a(flip),b,19948,a),flip(a)]. 19953 L(a(x,y,z \ (x \ 1)),u,w) = a(z \ 1,y,L(x \ 1,u,w)). [para(19948(a,1),17244(a,2,1)),flip(a)]. 19954 L(x * y,x,x \ 1) = (x * x) * (x \ y). [hyper(280,a,13897,a(flip),b,19950,a),flip(a)]. 19955 (x * x) * (x \ (y / x)) = x * (y * (x \ 1)). [hyper(7106,a,19954,a),flip(a)]. 19956 (x * x) * (x \ ((x * y) \ T(x,z))) = x * ((y \ T(x,z)) * (x \ 1)). [para(4955(a,1),19955(a,1,2,2))]. 19962 a(1 \ (x * (y \ 1)),z,x \ 1) = a(x,z,(x \ 1) \ (y \ (x \ 1))). [para(370(a,1),19946(a,1,1))]. 19963 a(x,y,(x \ 1) \ ((x \ 1) / z)) = a((z \ 1) * x,y,x \ 1). [para(528(a,1),19947(a,1,1)),flip(a)]. 19964 ((x * y) * (x \ 1)) \ T(x,z) = x * ((y \ T(x,z)) * (x \ 1)). [hyper(58,a,17610,a(flip),b,19956,a)]. 19965 (x * (y * (x \ 1))) \ T(x,z) = x * ((y \ T(x,z)) * (x \ 1)). [para(7025(a,1),19964(a,1,1))]. 19966 a(T(x,y) \ (x * ((z \ T(x,y)) * (x \ 1))),u,T(x,y)) = a((x * (z * (x \ 1))) \ 1,u,T(x,y)). [para(19965(a,1),19834(a,1,1,2))]. 19967 a(x,y,(x \ 1) \ (z \ (x \ 1))) = a(x,y,z \ 1). [hyper(58,a,19945,a(flip),b,19962,a),flip(a)]. 19968 a((x \ 1) * y,z,x \ (((x \ 1) * y) \ 1)) = a(x \ 1,z,y \ x). [para(378(a,1),19951(a,2,3,2))]. 19969 a(K(x,y) * ((z \ T(y,x)) * (y \ 1)),u,T(y,x)) = a((y * (z * (y \ 1))) \ 1,u,T(y,x)). [para(4376(a,1),19966(a,1,1))]. 19970 a(T(x \ y,K(y,z)) * (y \ 1),u,T(y,z)) = a((y * (x * (y \ 1))) \ 1,u,T(y,z)). [para(19298(a,1),19969(a,1,1))]. 19971 a(T((x \ y) * (y \ 1),K(y,z)),u,T(y,z)) = a((y * (x * (y \ 1))) \ 1,u,T(y,z)). [para(6093(a,2),19970(a,1,1))]. 19972 a((x * (y * (x \ 1))) \ 1,z,T(x,u)) = a((y \ x) * (x \ 1),z,x). [hyper(19715,a,19971,a),flip(a)]. 19974 a((x * (y * (x \ 1))) \ 1,z,T(x,u)) = a(x \ 1,z,y \ x). [hyper(280,a,19907,a(flip),b,19972,a),flip(a)]. 19975 a((x * (y \ 1)) * (x \ 1),z,T(x,u)) = a(x \ 1,z,y \ x). [para(514(a,1),19974(a,1,1))]. 19976 a(x * ((y \ 1) * (x \ 1)),z,T(x,u)) = a(x \ 1,z,y \ x). [para(7025(a,1),19975(a,1,1))]. 19977 a(x * ((x * y) \ 1),z,T(x,u)) = a(x \ 1,z,y \ x). [para(512(a,1),19976(a,1,1,2))]. 19978 a(x * ((x * y) \ 1),z,x) = a(x \ 1,z,y \ x). [hyper(19244,a,19977,a)]. 19979 a((x * y) \ x,z,x) = a(x \ 1,z,y \ x). [hyper(58,a,19842,a(flip),b,19978,a)]. 19980 a(x \ (x / y),z,x) = a(x \ 1,z,y \ x). [para(304(a,1),19979(a,1,1))]. 19981 a(x \ 1,y,z \ x) = a(z \ 1,y,x). [hyper(58,a,19832,a(flip),b,19980,a),flip(a)]. 19982 a((x \ 1) * y,z,x \ (((x \ 1) * y) \ 1)) = a(y \ 1,z,x). [hyper(58,a,19968,a,b,19981,a)]. 19983 a((x \ 1) * y,z,x \ ((y \ 1) * x)) = a(y \ 1,z,x). [para(528(a,1),19982(a,1,3,2))]. 19984 a((x \ 1) * y,z,T(y \ 1,x)) = a(y \ 1,z,x). [para(17(a,2),19983(a,1,3))]. 19985 a((x \ 1) * y,z,y \ 1) = a(y \ 1,z,x). [hyper(19244,a,19984,a)]. 19986 a(x,y,(x \ 1) \ ((x \ 1) / z)) = a(x \ 1,y,z). [hyper(58,a,19963,a,b,19985,a)]. 19988 a(x,y,(x \ 1) \ (z \ (x \ 1))) = a(x \ 1,y,z). [hyper(19256,a,19986,a)]. 19989 a(x \ 1,y,z) = a(x,y,z \ 1). [hyper(58,a,19967,a(flip),b,19988,a),flip(a)]. 19990 a(x,y,(z \ 1) \ 1) = a(z,y,x \ (z \ 1)). [hyper(58,a,19948,a(flip),b,19989,a),flip(a)]. 19991 a(x \ y,z,L(y,u,w) \ 1) = a(y \ x,z,L(y,u,w)). [hyper(58,a,19830,a(flip),b,19989,a),flip(a)]. 19992 a(x,y,L(z,x,y) \ 1) = a(z,y,x). [hyper(58,a,19796,a(flip),b,19989,a),flip(a)]. 19993 a(x,y,z \ (x \ 1)) = a(z,y,x). [hyper(19248,a,19990,a),flip(a)]. 19995 a(x,y \ 1,z) = a(x,y,z) \ 1. [hyper(58,a,19952,a(flip),b,19993,a),flip(a)]. 19997 a(x \ 1,y,L(z \ 1,u,w)) = L(a(x,y,z),u,w). [para(19993(a,1),19953(a,1,1)),flip(a)]. 19999 a(x,a(y,z,x) \ 1,u) = a(u,x,a(y,z,x)). [hyper(280,a,19879,a(flip),b,19995,a),flip(a)]. 20001 a(x \ 1,y,a(z,u,y)) = a(y,a(z,u,y),x). [hyper(58,a,19877,a(flip),b,19999,a),flip(a)]. 20002 a(x \ 1,a(y \ 1,z \ 1,x),u) = a(u,x \ 1,a(y,z,x \ 1)). [para(16937(a,2),19999(a,1,2))]. 20003 (a(x,y,z) \ 1) \ a(z,y \ 1,x \ 1) = a(z,a(x,y,z),x * y). [hyper(58,a,19888,a,b,20001,a)]. 20004 a(x \ a(x,a(y,z,x),z),z \ 1,y \ 1) = a(y,z,x). [para(20001(a,1),19868(a,1,1,2))]. 20005 a(x \ 1,y,L(z \ 1,u,w)) = a(x,y,L(z,u,w)). [hyper(280,a,17244,a,b,19997,a),flip(a)]. 20006 a(x,y,L(z \ 1,u,w) \ 1) = a(x,y,L(z,u,w)). [hyper(58,a,19989,a(flip),b,20005,a)]. 20008 a(x,y,L(z \ 1,u,w)) = a(x,y,L(z,u,w) \ 1). [para(378(a,1),20006(a,1,3,1,1)),flip(a)]. 20010 a(x,y,L(z \ 1,x,y)) = a(z,y,x). [hyper(280,a,19992,a(flip),b,20008,a),flip(a)]. 20011 a(x,y,(z \ 1) * x) = a(z,y,x). [hyper(19666,a,20010,a)]. 20012 a(x,y,z \ x) = a(z,y,x). [hyper(58,a,17254,a(flip),b,20011,a)]. 20013 a(x \ y,z,y) = a(y,z,x). [hyper(19248,a,20012,a),flip(a)]. 20016 a(x * (y \ 1),z,x) = a(x,z,y). [hyper(58,a,19842,a,b,20013,a)]. 20019 a(x \ y,z,L(y,u,w)) = L(a(y,z,x),u,w). [para(20013(a,1),17244(a,2,1))]. 20020 a(x \ y,z,L(y,u,w)) = a(y,z,L(x,u,w)). [hyper(280,a,17244,a,b,20019,a),flip(a)]. 20021 a(x,y,L(z,z,z \ y)) = a(x,y,z). [hyper(58,a,19898,a(flip),b,20020,a),flip(a)]. 20022 a(x,y,L(z,z,y)) = a(x,y,z). [para(7164(a,1),20021(a,1,3))]. 20023 a(x * y,z,x) = a(y,z,x). [hyper(58,a,19813,a(flip),b,20022,a)]. 20024 a(x \ 1,y,z) = a(z,y,x). [hyper(58,a,20016,a(flip),b,20023,a),flip(a)]. 20029 a(x \ y,z,L(u,x \ y,x)) = a(u,z,y \ x). [hyper(58,a,19818,a,b,20024,a)]. 20030 a(x,y,z \ 1) = a(z,y,x). [hyper(58,a,19989,a(flip),b,20024,a)]. 20041 a(x,y,L(z \ 1,u,w)) = a(z,y,L(x,u,w)). [hyper(58,a,19811,a(flip),b,20030,a)]. 20050 a(x,y,L(z,x,u)) != w | a(z,y,u \ (x \ u)) = w. [para(20041(a,1),19300(a,1))]. 20051 a(x \ y,z,L(y \ 1,u,w)) = a(y \ x,z,L(y,u,w)). [hyper(58,a,20008,a,b,19991,a)]. 20052 a(x \ y,z,L(x,u,w)) = a(x,z,L(y \ x,u,w)). [hyper(58,a,20041,a(flip),b,20051,a),flip(a)]. 20053 a(x,y \ 1,a(z,u,y \ 1)) = a(x,y,a(z \ 1,u \ 1,y)). [hyper(58,a,19862,a(flip),b,20002,a),flip(a)]. 20054 a(x,y,a(z \ 1,u \ 1,y)) = a(y,a(z,u,y \ 1),x). [hyper(58,a,19865,a(flip),b,20053,a),flip(a)]. 20055 a(x,y,z \ 1) \ a(x,y,u \ (z \ u)) = a(z,a(x,y,z \ 1),u). [hyper(58,a,19658,a,b,20054,a)]. 20056 (a(x,y,z) \ a(z \ 1,y,x)) \ 1 = a(z,a(x,y,z),x * y). [hyper(19343,a,20003,a)]. 20057 a(x,y,z) \ a(z \ 1,y,x) = a(x * y,z,a(x,y,z)). [hyper(34,a,19878,a,b,20056,a),flip(a)]. 20058 a(x,y,z) \ a(z,y,u \ (x \ u)) = a(x,a(z,y,x \ 1),u). [para(20030(a,1),20055(a,1,1))]. 20059 a(x,y,z) \ a(z,y,u \ (x \ u)) = a(x,a(x,y,z),u). [para(20030(a,1),20058(a,2,2))]. 20060 ((((x \ y) * L((x \ y) \ 1,z,u)) \ y) / x) \ y = ((y / x) \ y) * ((y / x) * L((y / x) \ 1,z,u)). [para(19301(a,1),19671(a,1,1,1))]. 20061 (x / y) \ (((y \ x) * L((y \ x) \ 1,z,u)) * x) = ((x / y) \ x) * ((x / y) * L((x / y) \ 1,z,u)). [hyper(58,a,1221,a(flip),b,20060,a)]. 20062 (x / y) \ (((y \ x) * L((y \ x) \ 1,z,u)) * x) = y * ((x / y) * L((x / y) \ 1,z,u)). [hyper(280,a,178,a(flip),b,20061,a),flip(a)]. 20064 (x / y) \ (((y \ x) * L((y \ x) \ 1,z,u)) * x) = y * ((y \ x) * L((y \ x) \ 1,z,u)). [para(19669(a,1),20062(a,2,2))]. 20065 (x / y) \ (((y \ x) * L((y \ x) \ 1,z,u)) * x) = x * L(x \ (y * 1),z,u). [hyper(280,a,1839,a(flip),b,20064,a),flip(a)]. 20066 (x / y) \ (((y \ x) * L((y \ x) \ 1,z,u)) * x) = x * L(x \ y,z,u). [para(3(a,1),20065(a,2,2,1,2))]. 20067 (x / y) \ ((x / (L(y / x,z,u) \ y)) * x) = x * L(x \ y,z,u). [para(19670(a,1),20066(a,1,2,1))]. 20068 (x / y) \ (x * ((L(y / x,z,u) \ y) \ x)) = x * L(x \ y,z,u). [para(373(a,1),20067(a,1,2))]. 20069 ((L(x / y,z,u) \ x) / x) \ y = y * L(y \ x,z,u). [hyper(58,a,689,a(flip),b,20068,a)]. 20070 (x \ (x / L(x / y,z,u))) \ y = y * L(y \ x,z,u). [para(935(a,1),20069(a,1,1))]. 20071 a((x \ (x / L(x / y,z,u))) \ 1,w,y) = a(y \ (y * L(y \ x,z,u)),w,y). [para(20070(a,1),19834(a,1,1,2)),flip(a)]. 20073 a(x * L(x \ y,z,u),w,x) = a(x,w,y \ (y / L(y / x,z,u))). [para(20070(a,1),20013(a,1,1))]. 20074 a(x * (x \ y),z,L(x,u,w)) = a(x,z,y \ (y / L(y / x,u,w))). [hyper(58,a,19825,a(flip),b,20073,a)]. 20075 a(x,y,z \ (z / L(z / x,u,w))) = a(z,y,L(x,u,w)). [para(5(a,1),20074(a,1,1)),flip(a)]. 20076 a(x,y,z \ (L(z / x,u,w) \ z)) = a(z,y,L(x,u,w)). [hyper(19256,a,20075,a)]. 20077 a((x \ (x / L(x / y,z,u))) \ 1,w,y) = a(L(y \ x,z,u),w,y). [para(4(a,1),20071(a,2,1))]. 20078 a((x \ (x / L(x / y,z,u))) \ 1,w,y) = a(y \ x,w,L(y,z,u)). [hyper(280,a,19811,a(flip),b,20077,a),flip(a)]. 20080 a((x \ (L(x / y,z,u) \ x)) \ 1,w,y) = a(y \ x,w,L(y,z,u)). [hyper(58,a,19748,a(flip),b,20078,a)]. 20081 a(x,y,z \ (L(z / x,u,w) \ z)) = a(x \ z,y,L(x,u,w)). [hyper(58,a,20024,a(flip),b,20080,a)]. 20082 a(x \ y,z,L(x,u,w)) = a(y,z,L(x,u,w)). [hyper(58,a,20076,a(flip),b,20081,a),flip(a)]. 20083 a(x,y,L(z \ x,u,w)) = a(z,y,L(x,u,w)). [hyper(58,a,20052,a(flip),b,20082,a)]. 20084 a(x \ y,z,L(x \ 1,u,w)) = a(y,z,L(x \ y,u,w)). [hyper(58,a,19307,a(flip),b,20083,a)]. 20085 a(x \ y,z,L(u,x \ y,x)) = a(u,z,y \ (x * u)). [para(569(a,1),20083(a,1,3)),flip(a)]. 20086 a(x,y,z \ (u * x)) = a(x,y,z \ u). [hyper(58,a,20029,a(flip),b,20085,a),flip(a)]. 20087 a(x,y,z \ (u * x)) = z \ (u * L(u \ z,y,x)). [hyper(280,a,17179,a,b,20086,a),flip(a)]. 20091 a(x,y,z \ (y * x)) = a(y \ z,y,x). [hyper(280,a,17084,a(flip),b,20087,a),flip(a)]. 20093 a(x \ (L(x,y,z) * y),x,y) = a(y,x,a(z,y,x)). [para(17461(a,2),20091(a,1,3)),flip(a)]. 20095 a(a(x,y,z),x,y) = a(y,x,a(z,y,x)). [hyper(58,a,19370,a(flip),b,20093,a)]. 20096 a(x \ L(x,y,z),x,y * z) = a(y,x,a(z,y,x)). [hyper(58,a,19930,a,b,20095,a)]. 20097 a(x \ L(x,y,z),x,z * y) = a(y,x,a(z,y,x)). [hyper(19249,a,20096,a)]. 20098 a(x * y,z,a(x,y,z)) = a(y,z,a(x,y,z)). [hyper(58,a,17269,a(flip),b,20097,a)]. 20099 a(x,y,z) \ a(z \ 1,y,x) = a(y,z,a(x,y,z)). [hyper(58,a,20057,a,b,20098,a)]. 20100 a(x \ y,z,L(x \ 1,u,w)) = a(x,z,L(y,u,w)). [hyper(280,a,20083,a(flip),b,20084,a),flip(a)]. 20101 a(x,y,L(x \ z,u,w)) = a(x,y,L(z,u,w)). [hyper(58,a,20041,a(flip),b,20100,a)]. 20102 a(x,y,z \ (x \ (z * u))) = a(x,y,L(u,x,z)). [hyper(58,a,19824,a(flip),b,20101,a)]. 20103 a(x,y,z \ ((x \ (z * u)) * x)) = a(x,y,L(u,x,z)). [hyper(58,a,20086,a,b,20102,a)]. 20104 a(x,y,z \ T(z * u,x)) = a(x,y,L(u,x,z)). [para(898(a,2),20103(a,1,3,2))]. 20105 a(x,y,L(z,x,u)) = a(x,y,u \ (u * z)). [hyper(58,a,19766,a(flip),b,20104,a),flip(a)]. 20107 a(x,y,L(z,x,u)) = a(x,y,z). [para(4(a,1),20105(a,2,3))]. 20108 a(x,y,z \ (u \ z)) = a(u,y,x). [hyper(20050,a,20107,a)]. 20130 (a(x,y,z) \ 1) \ L(a(x,y,z) \ 1,z,(x * y) \ 1) = ((a(z \ 1,y,x) \ a(x,y,z)) \ 1) \ 1. [para(19338(a,1),19873(a,2,1))]. 20131 (a(x,y,z) \ 1) \ L(a(x,y,z) \ 1,z,(x * y) \ 1) = a(z \ 1,y,x) \ a(x,y,z). [hyper(280,a,378,a(flip),b,20130,a),flip(a)]. 20132 (a(x,y,z) \ 1) \ a(z,y \ 1,x \ 1) = a(z \ 1,y,x) \ a(x,y,z). [para(19871(a,1),20131(a,1,2))]. 20133 (a(x,y,z) \ a(z \ 1,y,x)) \ 1 = a(z \ 1,y,x) \ a(x,y,z). [hyper(19343,a,20132,a)]. 20134 a(x \ 1,y,z) \ a(z,y,x) = a(y,x,a(z,y,x)) \ 1. [para(20099(a,1),20133(a,1,1)),flip(a)]. 20135 a(x \ 1,y,z) \ a(z,y,x) = a(x,a(z,y,x),y). [hyper(280,a,19878,a(flip),b,20134,a),flip(a)]. 20137 a(x,y,z) \ a(x,y,z) = a(z,a(x,y,z),y). [para(20024(a,1),20135(a,1,1))]. 20138 a(x,a(y,z,x),z) = 1. [hyper(196,a,20137,a),flip(a)]. 20141 a(x \ 1,y \ 1,z \ 1) = a(z,y,x). [para(20138(a,1),20004(a,1,1,2))]. 20147 a(x,y,z) \ a(x,u,w) = a(x,u,w) * a(z,y,x). [para(20141(a,1),19914(a,1,1))]. 20153 a(x,y,z) * a(z,y,x) = 1. [hyper(196,a,20147,a),flip(a)]. 20155 a(x,y,z) * a(u \ 1,w,x) = a(u,w,x) \ a(x,y,z). [para(20030(a,1),20147(a,1,1)),flip(a)]. 20161 a(x,y,z) \ a(z,u,w) = a(z,u,w) * a(z,y,x). [para(20024(a,1),20155(a,1,2)),flip(a)]. 20162 a(x,y,z \ (u \ z)) * a(x,y,u) = a(u,a(u,y,x),z). [hyper(58,a,20059,a(flip),b,20161,a),flip(a)]. 20163 a(x,a(x,y,z),u) = a(x,y,z) * a(z,y,x). [para(20108(a,1),20162(a,1,1)),flip(a)]. 20164 a(x,a(x,y,z),u) = 1. [hyper(280,a,20153,a(flip),b,20163,a),flip(a)]. 20165 $F # answer("aa2{x1/x2}"). [resolve(20164,a,59,a)]. ============================== end of proof ==========================