============================== prooftrans ============================ Prover9 (64) version 2017-09A, September 2017. Process 28672 was started by veroff on b146-05, Sun Mar 21 20:57:51 2021 The command was "prover9 -f aK2_eq_aK3_n.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 1438.06 (+ 63.15) seconds: "aK2_eq_aK3". % Length of proof is 8323. % Level of proof is 637. % Maximum clause weight is 65.000. % Given clauses 8753 (13.741 givens/level). 1 x * y = z & x * u = z -> y = u # label(non_clause). [assumption]. 2 x * y = z & u * y = z -> x = u # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 x * y = z * y -> x = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 10 a(x,K(y,z),u) = a(y,z,K(u,x)) # label("aK2_eq_aK3") # label(non_clause) # label(goal). [goal]. 11 1 * x = x. [assumption]. 12 x * 1 = x. [assumption]. 13 x \ (x * y) = y. [assumption]. 14 x * (x \ y) = y. [assumption]. 15 (x * y) / y = x. [assumption]. 16 (x / y) * y = x. [assumption]. 17 x * y != z | x * u != z | u = y. [clausify(1)]. 18 x * y != z | u * y != z | u = x. [clausify(2)]. 19 x * y != x * z | y = z. [clausify(3)]. 20 x * y != z * y | x = z. [clausify(4)]. 21 x != y | z * x = z * y. [assumption]. 22 x != y | x * z = y * z. [assumption]. 23 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 25 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 27 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 29 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 31 x \ (y * x) = T(y,x). [assumption]. 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 39 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 41 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 43 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 47 ((x * (y * z)) * x) * y = (x * y) * (z * (x * y)) # label("RIF"). [assumption]. 48 a(c2,c3,K(c4,c1)) != a(c1,K(c2,c3),c4) # label("aK2_eq_aK3") # answer("aK2_eq_aK3"). [deny(10)]. 49 a(c1,K(c2,c3),c4) != a(c2,c3,K(c4,c1)) # answer("aK2_eq_aK3"). [copy(48),flip(a)]. 50 1 \ x = x. [para(11(a,1),13(a,1,2))]. 51 x \ x = 1. [para(12(a,1),13(a,1,2))]. 52 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. 53 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. 54 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. 55 x \ (y * (y \ (x * z))) = z. [para(14(a,2),13(a,1,2))]. 56 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. 57 x / x = 1. [para(11(a,1),15(a,1,1))]. 59 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. 60 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. 61 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. 62 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. 63 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. 64 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. 65 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. 66 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. 67 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. 68 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. 69 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. 70 1 * x != y | x = y. [para(11(a,1),19(a,2))]. 71 x * y != x | 1 = y. [para(12(a,1),19(a,1)),flip(a)]. 72 x \ (x * (y * z)) != y * u | u = z. [para(13(a,2),19(a,2)),flip(a)]. 73 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. 74 (x / y) * z != x | z = y. [para(16(a,1),19(a,2))]. 75 ((x * y) / z) * z != x * u | u = y. [para(16(a,2),19(a,2)),flip(a)]. 76 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. 77 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. 78 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. 79 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. 80 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. 81 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. 82 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. 83 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. 84 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. 85 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. 86 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. 87 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. 88 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. 89 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. 90 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. 91 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. 92 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. 93 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. 94 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. 95 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. 96 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. 97 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. 98 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. 99 T(x,x) = x. [para(32(a,2),13(a,1))]. 100 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. 101 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. 102 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. 103 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(42(a,2),38(a,1,1)),flip(a)]. 104 ((x * y) * (z * (x * y))) / (x * y) = R(x * (y * z),x,y). [para(47(a,1),30(a,2,1)),flip(a)]. 105 1 \ (x * 1) = x. [hyper(18,a,12,a,b,50,a(flip)),flip(a)]. 106 (x * (x \ 1)) \ y = y. [para(14(a,2),50(a,1,1))]. 107 ((1 / x) * x) \ y = y. [para(16(a,2),50(a,1,1))]. 108 K(x,x) = 1. [para(51(a,1),26(a,2))]. 109 T(T(x,y),x) = T(x,y). [para(99(a,1),38(a,1,1)),flip(a)]. 110 T(L(x,y,z),x) = L(x,y,z). [para(99(a,1),40(a,1,1)),flip(a)]. 111 x * K(y,y) = x. [para(108(a,2),12(a,1,2))]. 112 (x / (y \ x)) * z = y * z. [hyper(22,a,60,a)]. 113 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),60(a,1,2))]. 114 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),60(a,1,2))]. 115 (x * y) / T(x,y) = y. [para(32(a,2),60(a,1,2))]. 116 x / (y / ((z \ x) \ y)) = z. [para(60(a,2),60(a,1,2))]. 117 x * ((y / (x \ z)) \ y) = z. [para(63(a,2),14(a,1,2))]. 118 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),63(a,1,1))]. 119 ((x / (y / z)) \ x) \ y = z. [para(63(a,2),63(a,1,1))]. 120 T(x,1) = x. [para(105(a,1),32(a,2))]. 121 K(x,1) = 1. [hyper(36,a,120,a)]. 122 T(1,x) = 1. [hyper(35,a,120,a)]. 123 T(x,y \ y) = x. [para(51(a,2),120(a,1,2))]. 124 K(1,x) = 1. [hyper(36,a,122,a)]. 125 K(x,1) * y != z | y = z. [para(121(a,2),70(a,1,1))]. 127 x * (y \ y) != z | x = z. [para(51(a,2),77(a,1,2))]. 128 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(53(a,1),30(a,2,1))]. 129 x / (y * (y \ 1)) = x. [hyper(18,a,16,a,b,54,a),flip(a)]. 130 L(x \ 1,x,y) = (y * x) \ y. [para(54(a,1),28(a,2,2))]. 132 R(1 / x,x,y) = y / (x * y). [para(61(a,1),30(a,2,1))]. 133 x / ((1 / y) * y) = x. [hyper(18,a,16,a,b,62,a),flip(a)]. 134 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,100,a)]. 135 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,100,a(flip)),flip(a)]. 136 (x \ y) * T(x,x \ y) = y. [para(100(a,2),14(a,1))]. 137 x * T(y / x,x) = y. [para(100(a,2),16(a,1))]. 138 x * y != z | y * u != z | T(x,y) = u. [para(100(a,1),17(a,1)),flip(c)]. 139 x * y != z * x | T(z,x) = y. [para(100(a,1),19(a,1)),flip(a)]. 140 x * T(y,x) != z * x | z = y. [para(100(a,2),20(a,2)),flip(a)]. 141 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(100(a,1),24(a,2,1,2)),flip(a)]. 142 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(100(a,1),24(a,2,2,1)),flip(a)]. 143 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(100(a,1),26(a,2,1)),flip(a)]. 144 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(100(a,1),28(a,2,2,2)),flip(a)]. 145 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(100(a,1),30(a,2,1,1)),flip(a)]. 146 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),100(a,1,2))]. 147 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),100(a,1,2))]. 148 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),100(a,1,2))]. 149 T(T(x / y,z),y) = T(y \ x,z). [para(102(a,1),38(a,1,1)),flip(a)]. 150 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(102(a,1),40(a,1,1)),flip(a)]. 151 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(102(a,1),42(a,1,1)),flip(a)]. 152 T(x / (x / y),x / y) = y. [para(102(a,2),63(a,1))]. 153 K(x \ 1,x) = (x \ 1) * x. [para(106(a,1),26(a,2))]. 154 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(106(a,1),28(a,2)),flip(a)]. 155 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(107(a,1),24(a,2)),flip(a)]. 156 K(x,1 / x) = x * (1 / x). [para(107(a,1),26(a,2))]. 157 (1 / x) * (x * y) = L(y,x,1 / x). [para(107(a,1),28(a,2)),flip(a)]. 158 T(x,T(x,y)) = x. [hyper(35,a,109,a)]. 159 T(T(T(x,y),z),x) = T(T(x,y),z). [para(109(a,1),38(a,1,1)),flip(a)]. 160 x / T(y,y \ x) = y \ x. [para(14(a,1),115(a,1,1))]. 161 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(129(a,1),30(a,2)),flip(a)]. 162 (x * (1 / y)) * y = R(x,1 / y,y). [para(133(a,1),30(a,2)),flip(a)]. 163 T(T((x * y) / x,z),x) = T(y,z). [para(134(a,1),38(a,1,1)),flip(a)]. 164 T((x * y) / x,y) = (x * y) / x. [para(134(a,1),158(a,1,2))]. 165 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),135(a,1,1,2))]. 167 x \ x != y | 1 = y. [para(11(a,1),127(a,1))]. 168 x \ (y * (y \ x)) = 1. [para(12(a,1),55(a,1,2,2,2))]. 169 L(x \ (y \ z),x,y) = (y * x) \ z. [para(56(a,1),28(a,2,2))]. 170 R((x / y) / z,z,y) = x / (z * y). [para(65(a,1),30(a,2,1))]. 171 x != y | z != y | z = x. [para(11(a,1),66(b,1))]. 172 (x / y) \ x = z * (z \ y). [hyper(171,a,63,a,b,14,a),flip(a)]. 173 x / (y \ x) = z * (z \ y). [hyper(171,a,60,a,b,14,a),flip(a)]. 174 (x * y) / y = (x / z) * z. [hyper(171,a,16,a,b,15,a)]. 175 (x / y) * y = x * 1. [hyper(171,a,16,a,b,12,a),flip(a)]. 176 x \ (x * y) = z * (z \ y). [hyper(171,a,14,a,b,13,a)]. 177 (x / y) * y != z | z = x. [para(175(a,2),76(a,1))]. 178 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),177(a,1,1)),flip(b)]. 179 x * (x \ y) != z | z = y. [para(60(a,1),177(a,1,1))]. 180 x / (y * (y \ 1)) != z | z = x. [para(54(a,1),177(a,1))]. 182 x * T(y,x) != z | y * x = z. [para(115(a,1),177(a,1,1)),flip(b)]. 183 x * y != z | y * T(x,y) = z. [para(135(a,1),177(a,1,1)),flip(b)]. 184 1 \ x != y | y = x. [para(11(a,1),179(a,1))]. 185 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),179(a,1,2)),flip(b)]. 187 ((1 / x) * x) \ y != z | z = y. [para(61(a,1),179(a,1))]. 188 x * K(y \ x,y) = (y \ x) * y. [hyper(171,a,81,a(flip),b,84,a(flip)),flip(a)]. 189 x * K(y,x / y) = y * (x / y). [hyper(171,a,80,a(flip),b,84,a(flip)),flip(a)]. 190 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(84(a,1),28(a,2,2,2)),flip(a)]. 191 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,101,a)]. 192 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,101,a)]. 193 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(101(a,1),38(a,1,1)),flip(a)]. 194 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(101(a,1),40(a,1,1)),flip(a)]. 195 T(x / y,(x / y) \ x) = y \ x. [para(63(a,1),101(a,2,1))]. 196 T(x,L(x,y,z)) = x. [hyper(35,a,110,a)]. 197 K(x,L(x,y,z)) = 1. [hyper(36,a,196,a)]. 198 (x / y) * ((z / y) \ z) = x. [para(63(a,1),117(a,1,2,1,2))]. 199 (x \ 1) \ K(x \ 1,x) = x. [hyper(73,a,153,a(flip))]. 201 (x / y) \ x != z * u | z \ y = u. [para(172(a,2),19(a,1))]. 202 (x / y) \ x != z | z = y. [para(172(a,2),179(a,1))]. 203 x \ (x * y) != z | z = y. [para(15(a,1),202(a,1,1))]. 205 x \ (y * x) != z | T(y,x) = z. [para(115(a,1),202(a,1,1)),flip(b)]. 206 (x \ y) \ y != z | T(x,x \ y) = z. [para(160(a,1),202(a,1,1)),flip(b)]. 207 T((x * y) / x,x) != z | z = y. [para(102(a,2),203(a,1))]. 208 (x * y) \ (y * x) != z | K(y,x) = z. [para(84(a,1),203(a,1,2)),flip(b)]. 210 x / (y \ x) != z * u | z \ y = u. [para(173(a,2),19(a,1))]. 211 x / (y \ x) != z | z = y. [para(173(a,2),179(a,1))]. 212 (x * (x \ y)) \ z != u | y \ z = u. [para(173(a,1),202(a,1,1)),flip(b)]. 213 (x * y) / y != z | z = x. [para(13(a,1),211(a,1,2))]. 214 (x * (y * z)) / L(z,y,x) != u | x * y = u. [para(28(a,2),211(a,1,2)),flip(b)]. 216 (x * T(y,x)) / x != z | z = y. [para(100(a,2),213(a,1,1))]. 217 (x * y) / y != z * u | x / u = z. [para(174(a,2),20(a,1))]. 218 ((x / y) * y) * z != u | x * z = u. [para(174(a,1),177(a,1,1)),flip(b)]. 219 x \ (x * y) != z | y = z. [para(176(a,2),127(a,1))]. 220 x * (y * (y \ z)) != u | x * z = u. [para(176(a,1),179(a,1,2)),flip(b)]. 221 1 \ x != y | x = y. [para(11(a,1),219(a,1,2))]. 222 x * ((y / z) \ y) != u | u / z = x. [para(198(a,1),20(a,1)),flip(a)]. 224 x \ (x * y) = L(y,1,x). [para(12(a,1),87(a,1,1))]. 225 L(x,1,y) = x. [hyper(219,a,224,a),flip(a)]. 226 L(x,1,y) != z | z = x. [para(224(a,1),203(a,1))]. 228 L(1,x,y) = 1. [hyper(167,a,88,a),flip(a)]. 231 a(x,y,1) = 1. [hyper(34,a,228,a)]. 232 a(x,y,K(1,z)) = 1. [para(124(a,2),231(a,1,3))]. 233 (x * y) / y = R(x,1,y). [para(12(a,1),93(a,1,1,1))]. 234 R(x,1,y) = x. [hyper(213,a,233,a)]. 235 R(x,1,y) != z | z = x. [para(233(a,1),213(a,1))]. 237 (x * y) / y = R(x,y,1). [para(12(a,1),94(a,1,2))]. 238 R(x,y,1) = x. [hyper(213,a,237,a)]. 240 L(x \ 1,x,1 / x) = 1 / x. [hyper(171,a,107,a(flip),b,130,a)]. 241 (x * y) * L(y \ 1,y,x) = x. [para(130(a,2),14(a,1,2))]. 242 L((x \ y) \ 1,x \ y,x) = y \ x. [para(14(a,1),130(a,2,1))]. 243 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),130(a,2,1))]. 244 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(130(a,1),40(a,2,1)),flip(a)]. 245 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(130(a,1),44(a,1,1))]. 246 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(130(a,1),45(a,1,1)),flip(a)]. 247 x / L(y \ 1,y,x) = x * y. [para(130(a,2),60(a,1,2))]. 248 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(22,a,132,a)]. 249 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),132(a,2,2))]. 250 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),132(a,2,2))]. 251 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(132(a,1),42(a,2,1)),flip(a)]. 252 R(1 / x,x,y) \ y = x * y. [para(132(a,2),63(a,1,1))]. 253 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(100(a,1),139(a,2))]. 255 (x * y) * K(y,x) != x * z | T(y,x) = z. [para(84(a,2),139(a,2)),flip(a)]. 256 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),182(a,1,2))]. 257 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),182(a,1,2))]. 258 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),182(a,1,2))]. 259 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(28(a,2),187(a,1)),flip(b)]. 260 T(x / y,y) != z | y \ x = z. [para(14(a,1),207(a,1,1,1)),flip(b)]. 261 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(241(a,1),28(a,2,2,2))]. 262 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(241(a,1),203(a,1,2)),flip(b)]. 263 x / L(y,1 / y,x) = x * (1 / y). [para(63(a,1),247(a,1,2,1))]. 264 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(60(a,1),252(a,1,1,1))]. 265 T(x,x \ y) != z | (x \ y) \ y = z. [para(60(a,1),260(a,1,1))]. 266 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(67,a,101,a,b,14,a)]. 267 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(67,a,30,a,b,129,a(flip))]. 268 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(67,a,28,a,b,106,a(flip))]. 269 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(67,a,101,a(flip),b,16,a)]. 270 x != y | z * u != y | T(z,u) = u \ x. [para(100(a,1),67(b,1)),flip(c)]. 271 ((x / y) * y) / z = x / z. [hyper(68,a,175,a,b,175,a)]. 272 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(68,a,30,a,b,129,a(flip))]. 273 L(x,y,1 / y) / (y * x) = 1 / y. [hyper(68,a,28,a,b,107,a(flip))]. 274 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),85(a,2,1)),flip(a)]. 276 T(x / y,z) * y = y * T(y \ x,z). [para(102(a,1),146(a,1,2,1)),flip(a)]. 277 T((x * y) / x,z) * x = x * T(y,z). [para(134(a,1),146(a,1,2,1)),flip(a)]. 278 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(101(a,1),146(a,1,2,1))]. 279 (x * T(x \ y,z)) / x = T(y / x,z). [para(149(a,1),135(a,1,1,2))]. 280 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(149(a,1),182(a,1,2))]. 281 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(149(a,1),216(a,1,1,2)),flip(b)]. 282 T(x,T(T(x,y),z)) = x. [hyper(35,a,159,a)]. 283 (x * T(y,z)) / x = T((x * y) / x,z). [para(163(a,1),135(a,1,1,2))]. 286 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(152(a,1),165(a,1,1,2,1))]. 287 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(165(a,1),207(a,1,1)),flip(b)]. 288 (x \ y) * x != y * z | K(x \ y,x) = z. [para(188(a,1),19(a,1))]. 289 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(188(a,1),28(a,2,2,2)),flip(a)]. 290 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(188(a,1),203(a,1,2)),flip(b)]. 291 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(189(a,1),203(a,1,2)),flip(b)]. 292 x * y != x * z | z = y. [para(13(a,1),72(a,1))]. 293 (x / y) * y != z * u | z \ x = u. [para(14(a,1),75(a,1,1,1)),flip(b)]. 295 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(171,a,81,a(flip),b,89,a(flip)),flip(a)]. 296 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(171,a,80,a(flip),b,89,a(flip)),flip(a)]. 297 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(68,a,89,a(flip),b,100,a)]. 298 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(89(a,1),19(a,1)),flip(a)]. 299 (x * y) * L(z,y,x) != x * u | y * z = u. [para(89(a,2),19(a,1))]. 300 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(89(a,1),28(a,2,2,2)),flip(a)]. 301 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(89(a,1),30(a,2,1)),flip(a)]. 302 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),89(a,1,2))]. 303 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),89(a,1,2))]. 304 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),89(a,1,2))]. 305 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(100(a,1),89(a,1,1))]. 306 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(89(a,1),84(a,1,1))]. 307 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(153(a,2),89(a,1,1))]. 308 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(89(a,1),203(a,1,2)),flip(b)]. 309 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(171,a,107,a(flip),b,91,a)]. 310 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(171,a,106,a(flip),b,91,a)]. 311 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(14(a,1),91(a,2,1))]. 312 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),91(a,2,1))]. 313 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(16(a,1),91(a,2,2))]. 314 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),91(a,1,1)),flip(a)]. 315 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(100(a,1),91(a,2,1))]. 316 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(156(a,2),91(a,2,2))]. 317 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(89(a,1),91(a,2,1))]. 318 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(89(a,1),91(a,2,2))]. 319 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(67,a,81,a(flip),b,96,a)]. 320 R(x / y,y,z) \ (x * z) = y * z. [hyper(67,a,80,a(flip),b,96,a)]. 321 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). [hyper(67,a,14,a(flip),b,96,a)]. 322 R(x,y,y \ z) * z = (x * y) * (y \ z). [hyper(171,a,79,a(flip),b,96,a(flip)),flip(a)]. 323 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(67,a,96,a(flip),b,89,a)]. 324 R(x,y / z,z) * y = (x * (y / z)) * z. [para(16(a,1),96(a,1,2))]. 325 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(96(a,1),20(a,1))]. 326 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(96(a,1),30(a,2,1,1)),flip(a)]. 327 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),96(a,1,1))]. 328 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),96(a,1,1))]. 329 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),96(a,1,1))]. 330 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(100(a,1),96(a,1,2))]. 331 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(96(a,1),84(a,1,1))]. 332 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(84(a,1),96(a,1,2))]. 333 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(96(a,1),213(a,1,1)),flip(b)]. 334 R(x / (1 / y),1 / y,y) = x * y. [hyper(171,a,133,a(flip),b,97,a)]. 335 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(171,a,129,a(flip),b,97,a)]. 336 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),97(a,2,1))]. 337 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),97(a,2,2))]. 338 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),97(a,2,2))]. 339 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(97(a,1),42(a,2,1)),flip(a)]. 340 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(132(a,2),97(a,1,1))]. 341 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(97(a,2),180(a,1)),flip(b)]. 342 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(96(a,1),97(a,2,1))]. 343 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))]. 344 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(97(a,2),97(a,1,1))]. 345 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),114(a,1,1,2))]. 346 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(100(a,1),114(a,1,1,2))]. 347 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(89(a,1),118(a,1,2,1))]. 348 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(67,a,45,a,b,154,a)]. 349 x \ R(L(y,x \ 1,x),z,u) = (x \ 1) * R(y,z,u). [hyper(67,a,44,a,b,154,a)]. 350 (x * y) \ (x * L(z,y \ 1,y)) = L((y \ 1) * z,y,x). [para(154(a,1),28(a,2,2,2)),flip(a)]. 351 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(67,a,45,a,b,157,a)]. 352 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(100(a,1),157(a,1,2)),flip(a)]. 353 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(68,a,44,a(flip),b,161,a)]. 354 R(x,y,y \ 1) != z * (y \ 1) | x * y = z. [para(161(a,1),20(a,1))]. 355 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(68,a,44,a(flip),b,162,a)]. 356 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(169(a,1),45(a,1,1)),flip(a)]. 357 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(30(a,2),201(a,1,1))]. 359 (x \ y) \ y != z * u | z \ T(x,x \ y) = u. [para(160(a,1),201(a,1,1))]. 360 x * (x \ y) != z * u | z \ y = u. [para(172(a,1),201(a,1))]. 362 (x * y) / y != z * u | z \ x = u. [para(13(a,1),210(a,1,2))]. 364 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(91(a,2),212(a,1))]. 366 (x / y) * y != z * u | x / u = z. [para(174(a,1),217(a,1))]. 368 (x * (x \ y)) * z != u | y * z = u. [para(60(a,1),218(a,1,1,1))]. 369 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(242(a,1),196(a,1,2))]. 370 K((x \ y) \ 1,y \ x) = 1. [para(242(a,1),197(a,1,2))]. 371 K(((x * y) \ x) \ 1,y) = 1. [para(13(a,1),370(a,1,2))]. 372 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(243(a,1),40(a,2,1)),flip(a)]. 373 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(249(a,1),42(a,2,1)),flip(a)]. 374 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(249(a,2),97(a,1,1))]. 376 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(268(a,1),179(a,1,2)),flip(b)]. 377 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(273(a,1),177(a,1,1)),flip(b)]. 378 x * y != z * u | z \ (x * y) = u. [para(15(a,1),293(a,1,1))]. 380 1 * x != y * z | y \ x = z. [para(57(a,1),293(a,1,1))]. 382 x * (y * (y \ 1)) != z * u | z \ x = u. [para(129(a,1),293(a,1,1))]. 387 (x * (x \ 1)) * y != z * u | z \ y = u. [para(14(a,2),380(a,1,1))]. 388 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(309(a,1),40(a,2,1))]. 389 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(309(a,1),44(a,1,1)),flip(a)]. 390 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(310(a,1),40(a,2,1))]. 391 R(x / y,y,x \ z) \ z = y * (x \ z). [para(14(a,1),320(a,1,2))]. 392 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(320(a,1),211(a,1,2)),flip(b)]. 393 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(334(a,1),42(a,2,1))]. 394 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),360(a,1,2))]. 396 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(176(a,1),360(a,1,2))]. 399 1 * x != y * z | x / z = y. [para(57(a,1),366(a,1,1))]. 400 x * (x \ y) != z * u | y / u = z. [para(60(a,1),366(a,1,1))]. 402 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(174(a,1),366(a,1,1))]. 405 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),399(a,1,1))]. 406 ((x / y) \ x) * z != u | y * z = u. [para(172(a,2),368(a,1,1))]. 407 (x / (y \ x)) * z != u | y * z = u. [para(173(a,2),368(a,1,1))]. 408 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(81(a,2),378(a,1))]. 409 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(176(a,1),400(a,1,2))]. 410 x \ (x * y) != z * u | y / u = z. [para(176(a,2),400(a,1))]. 412 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(96(a,1),410(a,1,2))]. 413 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [hyper(378,a,147,a)]. 414 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(171,a,89,a(flip),b,147,a(flip)),flip(a)]. 416 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),147(a,1,2,1))]. 417 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(102(a,1),147(a,1,2,1)),flip(a)]. 418 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(134(a,1),147(a,1,2,1)),flip(a)]. 419 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(101(a,1),147(a,1,2,1))]. 420 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(171,a,96,a(flip),b,148,a)]. 421 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(67,a,96,a(flip),b,148,a)]. 423 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(102(a,1),148(a,1,2,1)),flip(a)]. 424 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(109(a,1),148(a,1,2,1)),flip(a)]. 425 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(134(a,1),148(a,1,2,1)),flip(a)]. 426 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(101(a,1),148(a,1,2,1))]. 427 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(150(a,1),135(a,1,1,2))]. 428 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(151(a,1),135(a,1,1,2))]. 429 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(97(a,1),151(a,1,1))]. 430 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(170(a,1),151(a,1,1)),flip(a)]. 431 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(250(a,1),151(a,1,1)),flip(a)]. 432 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(335(a,1),151(a,1,1)),flip(a)]. 433 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [hyper(179,a,191,a)]. 434 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(67,a,191,a(flip),b,89,a)]. 435 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(191(a,2),26(a,2,1)),flip(a)]. 436 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(191(a,2),208(a,1,1))]. 438 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(366,a,192,a),flip(a)]. 439 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(193(a,1),182(a,1,2))]. 440 K(x \ (x * y),x) = K(y,x). [hyper(171,a,85,a(flip),b,274,a),flip(a)]. 441 K(x \ (x * y),z) = K(y,z). [para(52(a,1),440(a,1,1)),flip(a)]. 442 K((x / y) \ x,z) = K(y,z). [para(16(a,1),441(a,1,1,2))]. 443 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(171,a,191,a(flip),b,277,a(flip)),flip(a)]. 444 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(279(a,1),177(a,1,1)),flip(b)]. 445 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(279(a,1),207(a,1,1)),flip(b)]. 447 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(102(a,1),283(a,1,1,2)),flip(a)]. 448 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(68,a,81,a(flip),b,82,a)]. 449 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(14(a,1),82(a,1,1,2))]. 450 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(54(a,1),82(a,1,1))]. 451 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(82(a,1),203(a,1,2)),flip(b)]. 452 (x * (y * z)) * a(x,y,z) != z * u | T(x * y,z) = u. [para(82(a,2),139(a,2)),flip(a)]. 453 L(T(x,y),y,x) = T(x,x * y). [hyper(205,a,144,a),flip(a)]. 454 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(16(a,1),144(a,1,1)),flip(a)]. 456 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(96(a,1),144(a,1,2))]. 457 T(L(x,y,x),y) = T(x,x * y). [hyper(171,a,40,a(flip),b,453,a(flip)),flip(a)]. 458 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(453(a,2),148(a,1,2,1))]. 459 (x * T(y,y * x)) / x = L(y,x,y). [para(457(a,1),135(a,1,1,2))]. 460 T((x * y) / x,y * x) = L(y,x,y). [hyper(171,a,283,a(flip),b,459,a(flip)),flip(a)]. 461 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(244(a,2),89(a,1,2))]. 462 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(179,a,248,a)]. 463 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(260,a,251,a),flip(a)]. 464 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),256(a,1,2,1))]. 465 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(100(a,2),290(a,1,2))]. 466 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(291,a,91,a(flip)),flip(a)]. 467 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(295(a,1),19(a,1))]. 468 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),295(a,1,2))]. 469 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(295(a,1),203(a,1,2)),flip(b)]. 470 L(x \ y,x,y / x) = T(y / x,y). [hyper(138,a,79,a(flip),b,296,a),flip(a)]. 471 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(171,a,147,a(flip),b,296,a(flip))]. 472 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(311(a,1),40(a,2,1))]. 473 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(311(a,1),44(a,1,1)),flip(a)]. 474 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(28(a,2),312(a,1,1))]. 475 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(14(a,1),319(a,1,2))]. 476 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(44(a,1),324(a,1,1))]. 477 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(338(a,1),42(a,2,1))]. 478 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(338(a,1),46(a,1,1)),flip(a)]. 479 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(338(a,1),151(a,1,1)),flip(a)]. 480 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(346(a,1),202(a,1,1)),flip(b)]. 481 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),429(a,2,1)),flip(a)]. 482 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(429(a,1),445(a,1,1))]. 483 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(171,a,161,a(flip),b,450,a)]. 484 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [hyper(67,a,161,a(flip),b,450,a)]. 486 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(483(a,1),203(a,1,2)),flip(b)]. 487 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(14(a,1),462(a,1,1,2))]. 488 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(481(a,2),100(a,1,2)),flip(a)]. 490 T(R(x,y,x),y * x) = T(x,y). [para(481(a,2),163(a,1,1))]. 491 R(T(x,y * x),y,x) = T(x,y). [hyper(171,a,42,a,b,490,a(flip)),flip(a)]. 492 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(490(a,1),148(a,1,2,1)),flip(a)]. 493 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(171,a,42,a,b,103,a),flip(a)]. 496 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(100(a,1),178(a,1,2))]. 497 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(40(a,1),185(a,1,2))]. 498 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),185(a,1,2))]. 499 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(45(a,1),185(a,1,2))]. 502 x / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. [para(16(a,1),214(a,1,1))]. 503 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(100(a,1),308(a,1,1))]. 504 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(89(a,1),308(a,1,2,2))]. 505 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. [para(191(a,2),308(a,1,1))]. 506 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(82(a,1),308(a,1,2,2))]. 507 ((x * y) * (z * (x * y))) / (x * y) != u | R(x * (y * z),x,y) = u. [para(47(a,1),333(a,1,1))]. 508 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(100(a,1),377(a,1,2))]. 509 (x * y) / z != u | R(x / (z / y),z / y,y) = u. [para(16(a,1),392(a,1,2))]. 510 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(78,a,418,a),flip(a)]. 511 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(171,a,248,a(flip),b,423,a(flip)),flip(a)]. 512 T(x,R(T(x,y),z,u)) = x. [hyper(139,a,424,a)]. 513 T(x,R(x,y,z)) = x. [para(99(a,1),512(a,1,2,1))]. 514 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(178,a,425,a)]. 515 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(78,a,425,a),flip(a)]. 516 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [hyper(171,a,322,a(flip),b,425,a(flip)),flip(a)]. 517 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(63(a,1),427(a,1,1,2,1))]. 519 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(427(a,1),207(a,1,1)),flip(b)]. 520 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(91(a,1),427(a,1,1,2))]. 521 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(169(a,1),427(a,1,1,2)),flip(a)]. 522 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(309(a,1),427(a,1,1,2))]. 523 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(428(a,1),177(a,1,1)),flip(b)]. 524 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(447(a,1),100(a,1,2)),flip(a)]. 525 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(447(a,1),135(a,1,1,2))]. 526 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(102(a,1),493(a,1,1,1)),flip(a)]. 527 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(510(a,2),177(a,1,1)),flip(b)]. 528 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(510(a,1),89(a,1,2))]. 529 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(243(a,1),510(a,2,1,2))]. 530 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(311(a,1),510(a,2,1,2))]. 531 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(341,a,515,a),flip(a)]. 532 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(132(a,1),515(a,2,1,2))]. 533 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(515(a,1),178(a,1,1))]. 534 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(155(a,1),267(a,1,1))]. 535 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(245(a,2),89(a,1,2))]. 536 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(171,a,91,a(flip),b,246,a)]. 537 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(246(a,1),89(a,1,2))]. 538 x * ((x \ y) * T(z,y)) != u | L(z,x \ y,x) * y = u. [para(295(a,1),257(a,1))]. 540 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(91(a,1),302(a,1,2,1))]. 541 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(169(a,1),302(a,1,2,1))]. 542 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(453(a,1),302(a,1,2,1))]. 543 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(257,a,305,a),flip(a)]. 544 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(315(a,1),45(a,1,1)),flip(a)]. 545 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(170(a,1),327(a,1,1,1)),flip(a)]. 546 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(372(a,2),296(a,1,2)),flip(a)]. 547 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(373(a,2),322(a,1,1))]. 548 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(171,a,352,a(flip),b,388,a(flip)),flip(a)]. 549 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(244(a,1),388(a,1,1))]. 550 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(13(a,1),548(a,1,2,1)),flip(a)]. 551 T((1 / x) * y,x) != (1 / x) * z | (x \ y) * x = z. [para(548(a,1),19(a,1))]. 552 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(67,a,390,a(flip),b,154,a),flip(a)]. 553 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(68,a,393,a(flip),b,162,a),flip(a)]. 554 x * (y * (y \ z)) != u * w | T(u,w) = w \ (x * z). [para(100(a,1),396(a,2)),flip(b)]. 556 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(130(a,1),414(a,2,1)),flip(a)]. 557 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(67,a,82,a(flip),b,420,a),flip(a)]. 558 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(420(a,1),19(a,1)),flip(a)]. 559 (x * y) * T(y,x) = (y * x) * y. [para(491(a,1),420(a,1,2))]. 560 (x / y) * R((x / y) \ 1,x / y,y) != z | (y / x) * (x / y) = z. [para(431(a,2),182(a,1,2))]. 561 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(60(a,1),444(a,1,1,1))]. 562 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(100(a,1),448(a,1,1))]. 563 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(68,a,449,a(flip),b,100,a)]. 564 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [hyper(171,a,40,a(flip),b,454,a(flip)),flip(a)]. 565 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),521(a,2,1,2))]. 566 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(143(a,1),521(a,2,1,2))]. 567 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(312(a,1),564(a,1,1)),flip(a)]. 568 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [para(101(a,1),286(a,1,1,2))]. 569 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [hyper(73,a,524,a)]. 570 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(97(a,2),524(a,1,1,1,2))]. 571 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),525(a,1,1,2,1,2))]. 572 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(525(a,1),177(a,1,1)),flip(b)]. 573 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(97(a,1),526(a,1,1,1))]. 574 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(464,a,552,a),flip(a)]. 575 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(182,a,552,a),flip(a)]. 576 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(73,a,552,a)]. 577 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),552(a,2,2,1))]. 578 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),552(a,2,2,1))]. 579 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(171,a,278,a(flip),b,577,a(flip)),flip(a)]. 580 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(444,a,553,a)]. 581 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(102(a,1),553(a,1,1)),flip(a)]. 582 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(63(a,1),569(a,1,2,2,1,2))]. 583 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [para(575(a,1),14(a,1,2))]. 584 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),575(a,1,2,1))]. 585 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(576(a,1),179(a,1,2)),flip(b)]. 586 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(68,a,578,a(flip),b,276,a)]. 587 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(11(a,1),580(a,2,1,1))]. 589 (1 / x) * T(x,y) = T(x,y) / x. [para(63(a,1),587(a,1,2,1))]. 590 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(78,a,589,a)]. 591 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(73,a,589,a)]. 592 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(589(a,1),460(a,1,2))]. 593 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(16(a,1),581(a,1,1,1)),flip(a)]. 595 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(169(a,1),303(a,1,2,1))]. 596 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(91(a,1),304(a,1,2,1))]. 597 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(453(a,1),304(a,1,2,1))]. 598 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(170(a,1),328(a,1,1,1)),flip(a)]. 599 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(97(a,1),329(a,1,1,1))]. 601 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(310(a,1),348(a,1,2,1)),flip(a)]. 602 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(310(a,1),349(a,1,2,1)),flip(a)]. 603 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(240(a,1),351(a,1,2,1))]. 604 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(309(a,1),351(a,1,2,1))]. 605 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(335(a,1),353(a,1,1,1))]. 606 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(251(a,2),355(a,1,1,1))]. 607 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(356(a,1),185(a,1,2))]. 608 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(356(a,1),307(a,1,2))]. 609 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(259,a,389,a)]. 610 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(472(a,1),295(a,1,2)),flip(a)]. 611 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(477(a,1),324(a,1,1)),flip(a)]. 612 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(279(a,1),527(a,1,1,1))]. 613 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(532(a,1),96(a,1,1))]. 614 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,148,a,b,426,a),flip(a)]. 615 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(67,a,614,a(flip),b,433,a),flip(a)]. 617 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(91(a,1),497(a,1,2,1))]. 618 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(169(a,1),497(a,1,2,1))]. 619 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(256,a,542,a),flip(a)]. 620 T(x,y) * (x * z) = x * (T(x,y) * z). [para(146(a,1),619(a,1,2)),flip(a)]. 621 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(396,a,620,a)]. 622 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(220,a,620,a),flip(a)]. 623 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(171,a,79,a(flip),b,620,a)]. 624 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(73,a,620,a)]. 625 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(67,a,79,a(flip),b,620,a)]. 626 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(67,a,54,a(flip),b,620,a),flip(a)]. 627 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),620(a,1,2)),flip(a)]. 629 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(100(a,1),620(a,1,2)),flip(a)]. 630 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(102(a,1),620(a,1,1)),flip(a)]. 631 T(x,y) \ (x * (T(x,y) * z)) != u | x * z = u. [para(620(a,1),203(a,1,2)),flip(b)]. 632 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(78,a,626,a)]. 633 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(632(a,1),586(a,2,1))]. 634 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(622(a,1),19(a,1))]. 635 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(253,a,623,a),flip(a)]. 636 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(623(a,1),203(a,1,2)),flip(b)]. 637 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(102(a,1),635(a,1,2,1))]. 639 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(633(a,1),16(a,1,1))]. 640 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(102(a,1),637(a,2,2))]. 641 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(13(a,1),640(a,1,2,1))]. 642 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(102(a,1),639(a,1,1)),flip(a)]. 643 T(x,y) = ((x * y) / x) * (y \ x). [para(13(a,1),641(a,2,2)),flip(a)]. 644 (((x * y) * x) / (x * y)) * y = T(x * y,x). [para(13(a,1),643(a,2,2)),flip(a)]. 645 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(264(a,1),643(a,2,2)),flip(a)]. 646 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(78,a,644,a),flip(a)]. 647 T(T(x * y,x) / y,x * y) = x. [para(646(a,1),134(a,1,1))]. 648 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(16(a,1),647(a,1,1,1,1))]. 649 T(T(x,x / y) / y,x) = x / y. [para(16(a,1),648(a,1,2))]. 650 T(x \ T(y,y / x),y) = T(y / x,x). [para(649(a,1),149(a,1,1)),flip(a)]. 651 T(x \ T(y,y / x),y) = x \ y. [hyper(171,a,102,a(flip),b,650,a)]. 652 x \ T(y,y / x) = (y * (x \ y)) / y. [para(651(a,1),135(a,1,1,2)),flip(a)]. 653 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(652(a,1),179(a,1,2)),flip(b)]. 655 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(276(a,1),627(a,1,2))]. 656 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(67,a,12,a(flip),b,655,a)]. 658 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(73,a,546,a)]. 659 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(444,a,547,a),flip(a)]. 660 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(288,a,556,a)]. 661 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(68,a,660,a,b,276,a)]. 662 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),601(a,2,2,1))]. 663 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(171,a,419,a(flip),b,662,a(flip)),flip(a)]. 664 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(663(a,1),511(a,1,1,2)),flip(a)]. 665 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(12(a,1),602(a,2,2,1))]. 666 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(171,a,426,a(flip),b,665,a(flip)),flip(a)]. 667 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(666(a,1),511(a,1,1,2)),flip(a)]. 668 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(14(a,1),604(a,1,2,1)),flip(a)]. 669 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(171,a,417,a(flip),b,605,a)]. 670 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),609(a,2,1))]. 671 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(67,a,250,a(flip),b,670,a),flip(a)]. 672 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(17,a,483,a,b,670,a)]. 673 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(511(a,2),670(a,1,2))]. 674 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(270,a,132,a(flip),b,673,a),flip(a)]. 675 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(102(a,1),630(a,1,2,1))]. 676 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(134(a,1),630(a,1,2,1)),flip(a)]. 677 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(396,a,675,a)]. 678 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(171,a,62,a(flip),b,675,a)]. 679 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(67,a,54,a(flip),b,675,a),flip(a)]. 680 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(508,a,678,a)]. 681 (1 / x) * K(x \ 1,x) = x \ 1. [para(153(a,2),678(a,1,2))]. 682 (1 / x) * y != x \ 1 | K(x \ 1,x) = y. [para(681(a,1),19(a,1)),flip(a)]. 683 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(680(a,1),351(a,1,2,1))]. 684 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(679(a,1),19(a,1))]. 685 (x \ y) \ ((y / x) \ ((x \ y) * z)) = (y / x) \ z. [hyper(67,a,55,a(flip),b,677,a(flip)),flip(a)]. 686 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(465,a,658,a)]. 688 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(171,a,587,a(flip),b,686,a)]. 689 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(171,a,577,a(flip),b,686,a)]. 690 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(134(a,1),689(a,2,2))]. 691 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(276(a,1),659(a,1,1))]. 692 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(73,a,668,a),flip(a)]. 693 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(63(a,1),669(a,1,1,1,2))]. 694 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(171,a,147,a(flip),b,683,a)]. 695 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(242(a,1),694(a,1,2)),flip(a)]. 696 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(286(a,1),690(a,1,1,2,2,1))]. 697 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(691(a,1),213(a,1,1)),flip(b)]. 698 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(60(a,1),692(a,2,2,1))]. 699 (x * (y * (1 * x))) / (1 * x) = R(1 * (x * y),1,x). [para(11(a,1),104(a,1,1,1))]. 700 (x * (y * x)) / (1 * x) = R(1 * (x * y),1,x). [para(11(a,1),699(a,1,1,2,2))]. 701 R(1 * (x * y),1,x) = (x * (y * x)) / x. [para(11(a,1),700(a,1,2)),flip(a)]. 702 (x * (y * x)) / x = x * y. [hyper(66,a,701,a(flip),b,234,a(flip)),flip(a)]. 703 R(x * (y * z),x,y) = (x * y) * z. [hyper(171,a,104,a(flip),b,702,a(flip)),flip(a)]. 704 (x * y) * x = x * (y * x). [para(702(a,1),16(a,1,1))]. 705 T(x * y,x) = y * x. [para(702(a,1),134(a,1,1))]. 706 T(x * y,x) != z | y * x = z. [para(702(a,1),207(a,1,1)),flip(b)]. 707 T(T(x * y,z),x) = T(y * x,z). [para(702(a,1),163(a,1,1,1))]. 708 x \ T(x * y,x) = T(y,x). [hyper(270,a,705,a,b,xx),flip(a)]. 709 T(x,y) = (y \ x) * y. [para(14(a,1),705(a,1,1))]. 710 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(171,a,513,a(flip),b,709,a(flip))]. 711 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(171,a,196,a(flip),b,709,a(flip))]. 712 (T(x,y) \ x) * T(x,y) = x. [hyper(171,a,158,a(flip),b,709,a(flip))]. 713 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(171,a,110,a(flip),b,709,a(flip))]. 714 (x \ T(x,y)) * x = T(x,y). [hyper(171,a,109,a(flip),b,709,a(flip))]. 715 x / R(x,y,z) = R(x,y,z) \ x. [hyper(68,a,513,a(flip),b,709,a(flip))]. 716 ((x * y) / x) / y = y \ ((x * y) / x). [hyper(68,a,164,a(flip),b,709,a(flip))]. 717 x / T(x,y) = T(x,y) \ x. [hyper(68,a,158,a(flip),b,709,a(flip))]. 718 1 / x = x \ 1. [hyper(68,a,122,a(flip),b,709,a(flip))]. 719 L(x,y,z) / x = x \ L(x,y,z). [hyper(68,a,110,a(flip),b,709,a(flip))]. 720 T(x,y) / x = x \ T(x,y). [hyper(68,a,109,a(flip),b,709,a(flip))]. 721 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(67,a,196,a(flip),b,709,a(flip))]. 722 (T(x,y) \ x) \ x = T(x,y). [hyper(67,a,158,a(flip),b,709,a(flip))]. 723 (x \ 1) \ 1 = x. [hyper(67,a,122,a(flip),b,709,a(flip))]. 724 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(67,a,110,a(flip),b,709,a(flip))]. 725 T(x,y) != z * y | y \ x = z. [para(709(a,2),20(a,1))]. 726 T(x,(y \ x) * y) = x. [para(709(a,1),158(a,1,2))]. 727 1 / (1 / x) = x. [hyper(171,a,63,a(flip),b,718,a)]. 728 K(x,x \ 1) = x * (1 / x). [para(718(a,1),156(a,1,2))]. 729 (x \ 1) \ 1 != y | y = x. [para(718(a,1),202(a,1,1))]. 730 (1 / x) * (x * y) = L(y,x,x \ 1). [para(718(a,1),157(a,2,3))]. 731 (x * (1 / y)) * y = R(x,y \ 1,y). [para(718(a,1),162(a,2,2))]. 732 x \ L(y,1 / x,x) = (x \ 1) * y. [para(718(a,2),268(a,1,2,2))]. 733 L(x,y,y \ 1) / (y * x) = 1 / y. [para(718(a,1),273(a,1,1,3))]. 734 L(x \ y,x,x \ 1) = (1 / x) * y. [para(718(a,1),309(a,1,3))]. 735 R(x / (1 / y),y \ 1,y) = x * y. [para(718(a,1),334(a,1,2))]. 736 K((x \ 1) \ 1,y) = K(x,y). [para(718(a,1),442(a,1,1,1))]. 737 K(1 / (1 / x),y) = K(x,y). [para(718(a,2),442(a,1,1))]. 738 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(718(a,1),352(a,1,3))]. 739 L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. [para(718(a,1),259(a,1,3))]. 741 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [para(723(a,1),128(a,1,2))]. 742 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(723(a,1),264(a,1,1,2))]. 743 x \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [para(723(a,2),268(a,2,1))]. 744 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(723(a,1),484(a,1,2,3)),flip(a)]. 745 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 != u | a(x,y,z) = u. [para(723(a,2),451(a,1))]. 746 x \ 1 != y | 1 / x = y. [para(727(a,1),202(a,1,1)),flip(b)]. 747 K(1 / x,y) = K(x \ 1,y). [para(727(a,1),442(a,1,1,1)),flip(a)]. 748 T((x \ y) * x,y) = (x \ y) * x. [hyper(35,a,726,a)]. 749 T(x,y * (x / y)) = x. [para(63(a,1),726(a,1,2,1))]. 750 T(x * (y / x),y) = x * (y / x). [hyper(35,a,749,a)]. 751 R(x,y,x) = x. [hyper(325,a,704,a)]. 752 L(x,y,x) = x. [hyper(298,a,704,a)]. 753 R(x,y,x) = R(x,z,x). [hyper(171,a,751,a,b,751,a)]. 754 R(x,y,x) = (x \ 1) \ 1. [hyper(171,a,723,a,b,751,a)]. 755 R(1 / x,y,1 / x) = x \ 1. [hyper(171,a,718,a(flip),b,751,a)]. 756 L(x,y,x) = L(x,z,x). [hyper(171,a,752,a,b,752,a)]. 757 L(x,y,x) = 1 / (1 / x). [hyper(171,a,727,a,b,752,a)]. 758 L(x \ 1,y,x \ 1) = 1 / x. [hyper(171,a,718,a,b,752,a)]. 759 L(x,y,x) = z / (x \ z). [hyper(171,a,60,a,b,752,a)]. 760 a(x,y,x) = 1. [hyper(34,a,752,a)]. 761 T(x,x * y) = T(x,y). [para(752(a,1),457(a,1,1)),flip(a)]. 762 a(x,y,x) = a(z,u,z). [hyper(171,a,760,a,b,760,a)]. 763 a(x,y,x) \ z = z. [para(760(a,2),50(a,1,1))]. 764 T(x,a(y,z,y)) = x. [para(760(a,2),120(a,1,2))]. 765 a(x,y,x) \ z != u | u = z. [para(760(a,2),184(a,1,1))]. 766 L(x,a(y,z,y),u) = x. [para(760(a,2),225(a,1,2))]. 767 R(x,a(y,z,y),u) = x. [para(760(a,2),234(a,1,2))]. 768 R(x,a(y,z,y),u) != w | w = x. [para(760(a,2),235(a,1,2))]. 769 R(x,y,a(z,u,z)) = x. [para(760(a,2),238(a,1,3))]. 770 L(x,y,x) = a(z,u,z) \ x. [hyper(171,a,752,a,b,763,a),flip(a)]. 771 R(x,y,a(z,u,z) \ 1) = x. [para(763(a,2),238(a,1,3))]. 772 K(a(x,y,x) * z,u) = K(z,u). [para(763(a,1),441(a,1,1))]. 773 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(551,a,764,a)]. 774 x / a(y,z,y) = a(y,z,y) \ x. [hyper(260,a,764,a),flip(a)]. 775 a(x,y,x) * z = z * a(x,y,x). [hyper(171,a,705,a(flip),b,764,a(flip))]. 776 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(764(a,1),182(a,1,2))]. 777 R(x,y,x) != z | z = x. [para(753(a,1),235(a,1))]. 781 T(L(x,y,x),z) = L(T(x,z),u,x). [para(756(a,1),40(a,2,1)),flip(a)]. 782 L(x,y,x) != z | z = x. [para(756(a,1),226(a,1))]. 784 L(T(x,y),z,T(x,y)) = T(x,x * y). [hyper(171,a,752,a,b,761,a),flip(a)]. 785 R(T(x,x * y),z,T(x,x * y)) = T(x,y). [hyper(171,a,751,a,b,761,a(flip)),flip(a)]. 786 T(x,x \ y) = T(x,y). [para(14(a,1),761(a,1,2)),flip(a)]. 787 x \ ((x / a(y,z,y)) * u) = a(y,z,y) \ u. [hyper(171,a,312,a(flip),b,766,a(flip)),flip(a)]. 788 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(171,a,169,a(flip),b,766,a(flip)),flip(a)]. 789 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(766(a,1),89(a,1,2))]. 790 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(341,a,767,a)]. 791 (x / a(y,z,y)) \ u = a(y,z,y) * (x \ u). [para(767(a,1),391(a,1,1))]. 792 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(769(a,1),96(a,1,1)),flip(a)]. 793 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [para(769(a,1),319(a,1,1))]. 794 T(x,y) = (x \ y) \ y. [hyper(265,a,786,a),flip(a)]. 795 R(T(x,y),z,T(x,y)) = T(x,x \ y). [hyper(171,a,751,a,b,786,a),flip(a)]. 796 T(x,x \ R(x,y,z)) = x. [hyper(171,a,513,a(flip),b,786,a)]. 797 T(x,x \ T(x,y)) = x. [hyper(171,a,158,a(flip),b,786,a)]. 798 T(x / y,x) = y \ x. [hyper(171,a,195,a(flip),b,786,a(flip))]. 799 (x \ y) * T(x,y) = y. [para(786(a,1),136(a,1,2))]. 800 x / T(y,x) = y \ x. [para(786(a,1),160(a,1,2))]. 801 T(x / (x / y),x) = y. [hyper(171,a,119,a(flip),b,794,a)]. 802 (R(x,y,z) \ u) \ u = R(T(x,u),y,z). [hyper(171,a,42,a,b,794,a(flip))]. 803 ((x * y) \ x) \ x = y * x. [hyper(171,a,705,a(flip),b,794,a(flip))]. 804 L(x \ y,z,x \ y) = T(y / x,y). [hyper(171,a,752,a,b,798,a),flip(a)]. 805 (x / y) * x = x * (y \ x). [para(798(a,1),100(a,1,2)),flip(a)]. 806 x * T(x \ y,y) = (x \ y) * x. [para(798(a,1),276(a,1,1)),flip(a)]. 807 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(164(a,1),799(a,1,2))]. 808 K((x \ y) \ y,z) = K(T(x,y),z). [para(799(a,1),441(a,1,1,2))]. 809 x / ((y * x) / y) = ((y * x) / y) \ x. [para(164(a,1),800(a,1,2))]. 810 R(x,y,z) / x = x \ R(x,y,z). [para(513(a,1),800(a,1,2))]. 811 (x / T(y,x)) * y = T(x,y). [para(800(a,2),709(a,2,1)),flip(a)]. 812 T(x / (x / y),x) = L(y,z,y). [hyper(171,a,752,a,b,801,a)]. 813 T(x,x \ 1) = R(x,y,x). [hyper(171,a,101,a,b,754,a),flip(a)]. 815 R(x,y,x) != z * u | z \ T(x,x \ 1) = u. [para(754(a,2),359(a,1))]. 816 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(754(a,1),355(a,1,1,1))]. 817 K(L(x,y,x) \ z,u) = K(x \ z,u). [para(759(a,2),442(a,1,1,1))]. 818 R(x \ 1,y,x \ 1) = T(x \ 1,x). [para(723(a,1),813(a,1,2)),flip(a)]. 821 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(714(a,1),98(a,1,1,1)),flip(a)]. 822 T(x,y) * z != (x \ T(x,y)) * (x * u) | L(u,x,x \ T(x,y)) = z. [para(714(a,1),298(a,1,1))]. 823 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(714(a,1),333(a,1,1,1))]. 824 (1 / x) * T(x,y) = x \ T(x,y). [hyper(171,a,589,a,b,720,a(flip)),flip(a)]. 825 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(171,a,587,a,b,720,a(flip)),flip(a)]. 826 (x \ T(x,y)) * x != z | T(x,y) = z. [para(720(a,1),177(a,1,1)),flip(b)]. 827 x \ K(x,x \ 1) = 1 / x. [hyper(67,a,728,a,b,xx)]. 828 K(x,x \ 1) != x * y | 1 / x = y. [para(728(a,2),19(a,1))]. 829 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(754(a,2),736(a,1,1,1))]. 830 K(R(x,y,x),z) = K(x,z). [para(754(a,2),736(a,1,1))]. 831 K(L(x,y,x),z) = K(x,z). [para(757(a,2),737(a,1,1))]. 832 1 != x | a(y,z,y) = x. [para(51(a,1),765(a,1)),flip(b)]. 833 a(x,y,x) != z | a(u,w,u) = z. [para(760(a,2),832(a,1))]. 834 T(x,y) / y = x / T(y,x). [hyper(78,a,811,a)]. 838 (T(x,y) / y) \ x = T(y,x). [para(834(a,2),63(a,1,1))]. 839 (x / T(y,x)) * y != z | T(x,y) = z. [para(834(a,1),177(a,1,1)),flip(b)]. 840 T(x,y) != z | (y \ x) * y = z. [para(14(a,1),706(a,1,1))]. 841 ((x \ 1) * x) \ (x \ 1) = 1 / x. [hyper(171,a,130,a(flip),b,758,a(flip)),flip(a)]. 842 (x \ 1) / (1 / x) = (x \ 1) * x. [para(758(a,1),247(a,1,2))]. 844 T(T(x / (x / y),z),x) = T(L(y,u,y),z). [para(812(a,1),38(a,1,1)),flip(a)]. 845 (x \ T(x * y,z)) * x = T(y * x,z). [hyper(840,a,707,a)]. 846 T(x \ T(x * y,z),x) = x \ T(y * x,z). [hyper(270,a,707,a(flip),b,709,a(flip))]. 847 T(x * y,z) / y = y \ T(y * x,z). [hyper(68,a,707,a(flip),b,709,a(flip))]. 850 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(724(a,1),278(a,1,2,1)),flip(a)]. 854 K(x * a(y,z,y),u) = K(x,u). [para(775(a,1),772(a,1,1))]. 855 L(T(x,y),z,x) = L(T(x,y),u,x). [hyper(171,a,40,a,b,781,a(flip))]. 857 x * T(x \ y,y) = T(y,x). [hyper(171,a,709,a,b,806,a)]. 858 x \ T(x * y,y) = T(y,x \ 1). [hyper(171,a,552,a(flip),b,857,a(flip)),flip(a)]. 859 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(475(a,1),808(a,1,1,1)),flip(a)]. 860 K(T(x * y,x),z) = K(y * x,z). [para(803(a,1),808(a,1,1)),flip(a)]. 861 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(407,a,824,a),flip(a)]. 862 T(1 / x,T(x,y)) = x \ 1. [hyper(138,a,824,a,b,579,a)]. 865 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(862(a,1),149(a,1,1)),flip(a)]. 866 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(862(a,1),251(a,2,1))]. 868 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(171,a,153,a,b,842,a)]. 869 R(L(T(x,y),z,x),u,w) = L(R(T(x,y),u,w),v5,x). [para(855(a,1),44(a,1,1))]. 870 K(x \ 1,x) * (1 / x) = x \ 1. [para(868(a,1),16(a,1,1))]. 871 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [hyper(768,a,703,a)]. 872 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(73,a,730,a)]. 873 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(730(a,1),190(a,1,1))]. 874 (x \ 1) * (x * y) = L(y,x,x \ 1). [para(718(a,1),730(a,1,1))]. 875 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(17,a,348,a(flip),b,732,a(flip)),flip(a)]. 876 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(171,a,112,a(flip),b,734,a)]. 877 T(x,x \ y) != z | T(x,y) = z. [para(795(a,1),235(a,1)),flip(b)]. 878 T(x,y) != z | T(x,x * y) = z. [para(13(a,1),877(a,1,2))]. 879 K(T(x / y,x) \ z,u) = K((y \ x) \ z,u). [para(804(a,1),817(a,1,1,1))]. 880 T(x \ 1,T(x,y)) = R(x \ 1,z,x \ 1). [hyper(171,a,865,a,b,818,a),flip(a)]. 881 R((x * y) \ x,z,y \ 1) = L(T(y \ 1,y),y,x). [para(818(a,1),245(a,2,1))]. 883 (x \ y) * x != z | T(y,x) = z. [para(800(a,1),839(a,1,1))]. 884 x * y != z | T(y * x,y) = z. [para(13(a,1),883(a,1,1))]. 885 x * (((y * x) / y) / x) = (y * x) / y. [para(716(a,2),14(a,1,2))]. 887 R(T(x,y),z,x) = (x \ y) \ y. [para(751(a,1),802(a,1,1,1)),flip(a)]. 888 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(798(a,1),802(a,2,1))]. 889 T(x,y) = (x \ (y * x)) \ (y * x). [hyper(171,a,491,a(flip),b,887,a(flip)),flip(a)]. 891 T(x,y) \ (x * y) = T(y,x). [para(32(a,2),889(a,2,1)),flip(a)]. 892 T(x,y) / (T(y,x) \ x) = y. [hyper(68,a,891,a(flip),b,625,a(flip))]. 893 T(x,y) \ y = x \ T(y,x). [hyper(67,a,891,a(flip),b,625,a(flip)),flip(a)]. 894 T(x,y) * T(y,x) = x * y. [para(891(a,1),14(a,1,2))]. 895 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(38(a,1),892(a,1,2,1))]. 896 T(x,y) * (x \ T(y,x)) = y. [para(892(a,1),117(a,1,2,1))]. 897 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(893(a,1),83(a,1,1,2,1))]. 898 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [hyper(270,a,xx,b,894,a),flip(a)]. 899 T(x,T(y,x)) = T(x,y). [hyper(253,a,894,a)]. 900 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(894(a,1),24(a,2,2,1)),flip(a)]. 901 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(894(a,1),96(a,1,2))]. 903 T(x,y) * (y * x) = x * (x * y). [para(894(a,1),629(a,1,2)),flip(a)]. 904 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(171,a,811,a,b,899,a),flip(a)]. 905 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(899(a,1),38(a,1,1)),flip(a)]. 906 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(38(a,1),899(a,1,2))]. 907 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(899(a,1),40(a,1,1)),flip(a)]. 908 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),899(a,1,2))]. 909 T(x,y / x) = T(x,x \ y). [para(102(a,1),899(a,1,2)),flip(a)]. 910 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(899(a,1),146(a,1,2,1))]. 911 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(899(a,1),147(a,1,2,1))]. 912 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(899(a,1),148(a,1,2,1))]. 913 T(x,y * x) = T(x,x * y). [para(705(a,1),899(a,1,2))]. 914 T(x,T(y,y * x)) = T(x,y). [para(761(a,2),899(a,1,2))]. 915 T(x,(y \ x) \ x) = T(x,y). [para(794(a,1),899(a,1,2))]. 916 T(x,x / y) = T(x,y \ x). [para(798(a,1),899(a,1,2)),flip(a)]. 917 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(707(a,1),899(a,1,2))]. 918 T(x,y / x) = (x \ y) \ y. [hyper(171,a,101,a(flip),b,909,a)]. 919 (x / y) * T(y,y \ x) = y * (x / y). [para(909(a,1),100(a,1,2))]. 920 x / T(y,x / y) = y \ x. [para(909(a,2),160(a,1,2))]. 921 T(x,y / x) != z | (x \ y) \ y = z. [para(909(a,2),265(a,1))]. 922 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(171,a,42,a,b,913,a(flip)),flip(a)]. 923 T(x,x * (y / x)) = T(x,y). [para(16(a,1),913(a,1,2)),flip(a)]. 924 T(T(x,x * y),z) = T(T(x,z),y * x). [para(913(a,1),38(a,1,1))]. 925 T(T(x,y * x),z) = T(T(x,z),x * y). [para(913(a,2),38(a,1,1))]. 926 R(T(x,x * y),y,x) = T(x,y). [para(913(a,1),491(a,1,1))]. 927 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(914(a,1),257(a,1,2,1))]. 928 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(914(a,1),258(a,1,2,1))]. 929 T(x * y,T(y,x)) = T(x * y,y). [para(889(a,2),915(a,1,2))]. 930 T(T(x,y \ x) / y,x) = x / y. [para(916(a,1),649(a,1,1,1))]. 931 T(x \ y,x) = ((x \ y) \ y) \ y. [para(60(a,1),918(a,1,2))]. 933 ((x / y) * ((y \ x) \ x)) / (x / y) != z | z = y. [para(918(a,1),216(a,1,1,2))]. 934 T(x,y / x) != z | T(x,x \ y) = z. [para(918(a,2),206(a,1))]. 935 (x \ y) \ y != z | T(x,y / x) = z. [para(920(a,1),202(a,1,1)),flip(b)]. 936 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(923(a,1),896(a,1,1))]. 937 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(926(a,1),148(a,1,2)),flip(a)]. 939 T(x,T(y,x)) != z | T(x,y) = z. [para(904(a,1),839(a,1))]. 941 T(x,L(T(y,x),z,u)) != w | T(x,L(y,z,u)) = w. [para(40(a,2),939(a,1,2))]. 942 T(x,y * x) != z | T(x,x * y) = z. [para(705(a,1),939(a,1,2))]. 943 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(40(a,2),905(a,1,2))]. 944 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(899(a,1),906(a,1,2)),flip(a)]. 945 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(931(a,1),472(a,1,1))]. 946 x * ((y * z) / y) != z | ((y * z) / y) \ z = x. [para(807(a,1),20(a,1)),flip(a)]. 948 x \ T(x * y,y) = (x * y) / x. [hyper(68,a,705,a(flip),b,845,a),flip(a)]. 949 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(14(a,1),845(a,1,1,2,1)),flip(a)]. 950 (x \ T(x * (y / x),z)) * x = T(y,z). [para(16(a,1),845(a,2,1))]. 951 x * (T(y * x,z) / x) = T(x * y,z). [para(845(a,1),59(a,1,2,1))]. 952 T(x,y \ 1) = (y * x) / y. [hyper(171,a,858,a(flip),b,948,a(flip)),flip(a)]. 953 T(T(x,y),y \ 1) = x. [hyper(171,a,135,a(flip),b,952,a)]. 954 T(1 / x,(y * x) / y) = x \ 1. [para(952(a,1),862(a,1,2))]. 955 T(x,(y \ 1) \ 1) = T(x,y). [para(953(a,1),953(a,1,1))]. 956 T(x,1 / y) = T(x,y \ 1). [para(63(a,1),955(a,1,2,1)),flip(a)]. 957 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(955(a,1),100(a,1,2))]. 958 T(x,1 / (1 / y)) = T(x,y). [para(119(a,1),955(a,1,2)),flip(a)]. 959 T(x,R(y,z,y)) = T(x,y). [para(754(a,2),955(a,1,2))]. 960 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(260,a,959,a),flip(a)]. 961 R(x,y,x) * T(z,x) != u | z * R(x,y,x) = u. [para(959(a,1),182(a,1,2))]. 962 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(795(a,1),959(a,1,2))]. 963 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(956(a,1),100(a,1,2))]. 964 T(x,L(y,z,y)) = T(x,y). [para(757(a,2),958(a,1,2))]. 965 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(964(a,1),100(a,1,2))]. 967 T(x,a(y,z,y) \ u) = T(x,u). [para(770(a,1),964(a,1,2))]. 968 T(x,T(y / z,y)) = T(x,z \ y). [para(804(a,1),964(a,1,2))]. 969 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(101(a,1),962(a,1,2))]. 970 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(260,a,969,a),flip(a)]. 971 T(x,T(y * z,y)) = T(x,z * y). [para(803(a,1),969(a,1,2)),flip(a)]. 972 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(171,a,552,a,b,847,a),flip(a)]. 973 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(171,a,581,a(flip),b,847,a(flip))]. 974 T((x \ y) * x,z) / x = x \ T(y,z). [para(14(a,1),847(a,2,2,1))]. 975 x \ T(x * (y / x),z) = T(y,z) / x. [para(16(a,1),847(a,1,1,1)),flip(a)]. 976 (x \ T(x * y,z)) * x != u | T(y * x,z) = u. [para(847(a,1),177(a,1,1)),flip(b)]. 978 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(171,a,905,a(flip),b,898,a)]. 979 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(40(a,2),978(a,1,1))]. 980 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(287,a,924,a),flip(a)]. 981 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(925(a,1),287(a,1))]. 982 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [hyper(270,a,949,a,b,xx),flip(a)]. 983 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(949(a,2),20(a,1))]. 984 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(102(a,1),949(a,2,1,2))]. 985 T((x \ y) * x,z) / x != u | x \ T(y,z) = u. [para(949(a,2),213(a,1,1)),flip(b)]. 986 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(949(a,2),86(a,1,1))]. 987 T(x * (y / x),z) = x * (T(y,z) / x). [para(950(a,1),59(a,1,2,1)),flip(a)]. 988 x * ((1 / x) * T((1 / x) \ y,z)) = T(x * y,z). [para(580(a,2),951(a,1,2))]. 989 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(960(a,1),100(a,1,2)),flip(a)]. 993 x * (T((x \ y) * x,z) / x) != u | T(y,z) = u. [para(974(a,2),179(a,1,2)),flip(b)]. 994 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(710(a,1),974(a,1,1,1))]. 995 (x \ T(x * (y / x),z)) * x != u | T(y,z) = u. [para(975(a,2),177(a,1,1)),flip(b)]. 998 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(980(a,2),287(a,1))]. 999 (x \ (y / (1 / x))) * x = T(y,x) / (1 / x). [hyper(551,a,987,a)]. 1000 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(987(a,1),100(a,1,2))]. 1001 x \ T(x * (y / x),z) != u | T(y,z) / x = u. [para(987(a,2),203(a,1,2)),flip(b)]. 1002 T(x * (y / x),x) = x * (y / T(x,y)). [para(834(a,1),987(a,2,2))]. 1003 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(909(a,1),987(a,2,2,1))]. 1004 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(738(a,1),147(a,1,2))]. 1006 T(T(x / (x / y),z),x) = L(T(y,z),u,y). [hyper(171,a,40,a,b,844,a)]. 1009 (x / a(y,z,y)) * u = x * (a(y,z,y) \ u). [para(787(a,1),14(a,1,2)),flip(a)]. 1012 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [para(775(a,2),788(a,1,1))]. 1015 (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). [para(774(a,1),791(a,1,1))]. 1016 (x * y) * a(y,x,y) = T(y * x,y). [hyper(452,a,792,a),flip(a)]. 1018 T(x * y,x) = (y * x) * a(z,u,z). [para(762(a,1),1016(a,1,2)),flip(a)]. 1019 T(x * y,x) = a(z,u,z) * (y * x). [hyper(171,a,775,a,b,1018,a)]. 1023 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(792(a,1),793(a,1,2))]. 1024 L(x,y,a(z,u,z)) = x. [hyper(298,a,871,a)]. 1025 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(871(a,1),24(a,2,1)),flip(a)]. 1027 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(775(a,1),871(a,1,1))]. 1028 (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). [hyper(364,a,1024,a),flip(a)]. 1029 L(x,a(y,z,y),u) = L(x,w,a(v5,v6,v5)). [hyper(171,a,766,a,b,1024,a),flip(a)]. 1030 L(x,y,1) = x. [para(231(a,1),1024(a,1,3))]. 1031 L(x,y,1) = z \ (z * x). [hyper(171,a,13,a,b,1030,a)]. 1032 L(x,y,a(z,u,z)) != w | w = x. [para(1029(a,1),782(a,1))]. 1033 K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). [para(60(a,1),879(a,1,1,1,1)),flip(a)]. 1034 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [para(132(a,1),888(a,1,1,1)),flip(a)]. 1035 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [hyper(171,a,741,a(flip),b,1034,a(flip)),flip(a)]. 1036 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(899(a,1),895(a,1,2,1))]. 1037 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(38(a,1),910(a,1,2))]. 1038 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(171,a,906,a(flip),b,944,a)]. 1039 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(984(a,1),100(a,1,2)),flip(a)]. 1040 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(984(a,1),135(a,1,1,2))]. 1041 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(989(a,2),19(a,1))]. 1043 (x * (1 / x)) * y = y * (x * (1 / x)). [para(122(a,1),1000(a,1,2,2,1)),flip(a)]. 1044 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(102(a,1),1000(a,1,2,2,1)),flip(a)]. 1048 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [hyper(171,a,775,a(flip),b,1027,a)]. 1049 T(x * y,x) / x = y * a(z,u,z). [hyper(68,a,1019,a,b,1027,a)]. 1051 T(x,y) / y = (y \ x) * a(z,u,z). [para(14(a,1),1049(a,1,1,1))]. 1052 K(T(x,y) / y,z) = K(y \ x,z). [para(1051(a,2),854(a,1,1))]. 1053 K(T(x,y) / y,z) = K(x / T(y,x),z). [para(800(a,2),1052(a,2,1))]. 1054 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [hyper(171,a,1015,a(flip),b,1028,a(flip))]. 1056 K(T(x * y,x) \ z,u) = K((y * x) \ z,u). [para(803(a,1),1033(a,1,1,1)),flip(a)]. 1057 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(1037(a,1),471(a,1,2)),flip(a)]. 1060 K(((x \ y) * x) \ z,u) = K(T(y,x) \ z,u). [para(14(a,1),1056(a,1,1,1,1)),flip(a)]. 1063 T(T(x * y,z),x) != u | T(y * x,z) = u. [para(709(a,2),976(a,1))]. 1064 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(60(a,1),1001(a,1,2,1,2))]. 1065 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(1004(a,1),807(a,1,1,1,1))]. 1066 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [para(723(a,1),744(a,1,3)),flip(a)]. 1068 T(L(x,y,z) * (1 / x),x) != u | x \ L((x \ 1) \ 1,y,z) = u. [para(816(a,1),260(a,1,1))]. 1069 L(R(T(x,y),z,u),w,x) = L(R(T(x,y),z,u),v5,x). [hyper(171,a,869,a(flip),b,869,a(flip))]. 1070 R((1 / (x * y)) * x,z,y \ 1) = L(L(T(y \ 1,y),y,x),x * y,1 / (x * y)). [para(881(a,1),389(a,1,1)),flip(a)]. 1071 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(453(a,1),911(a,1,2))]. 1072 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(171,a,965,a(flip),b,1071,a)]. 1076 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(913(a,2),1072(a,1,2))]. 1078 (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(912(a,1),142(a,1,1,2))]. 1079 T(x,y) * (T(y,x) / x) = x * (y / x). [para(975(a,1),936(a,1,2))]. 1080 T(x,y) * (y / T(x,y)) = x * (y / x). [para(834(a,1),1079(a,1,2))]. 1081 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(1080(a,1),19(a,1)),flip(a)]. 1082 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(972(a,2),985(a,1))]. 1083 T(x * ((1 / x) * y),z) = x * ((1 / x) * T(y,z)). [para(13(a,1),988(a,1,2,2,1)),flip(a)]. 1084 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(171,a,987,a,b,1003,a)]. 1086 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(16(a,1),1035(a,2,1,1,2))]. 1087 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(60(a,1),1039(a,1,1,1,2)),flip(a)]. 1088 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(132(a,2),1039(a,1,1,1,2))]. 1089 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(1040(a,1),177(a,1,1)),flip(b)]. 1091 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(67,a,850,a(flip),b,622,a)]. 1093 (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). [para(28(a,2),1023(a,2,1))]. 1096 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(171,a,303,a(flip),b,458,a(flip)),flip(a)]. 1098 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(148(a,1),1096(a,1,2)),flip(a)]. 1099 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(554,a,1098,a),flip(a)]. 1100 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(409,a,1098,a)]. 1101 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(396,a,1098,a)]. 1102 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(67,a,54,a(flip),b,1098,a),flip(a)]. 1103 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(100(a,1),1098(a,1,2)),flip(a)]. 1104 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1098(a,1),144(a,1,2))]. 1105 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1102(a,1),157(a,1,2)),flip(a)]. 1106 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1102(a,1),574(a,1,2,1,2))]. 1107 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(96(a,1),1101(a,1,2)),flip(a)]. 1108 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(171,a,32,a,b,1107,a)]. 1109 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(78,a,1107,a),flip(a)]. 1110 R(x,y,x) * T(y,x) = T(x * y,x). [para(32(a,2),1108(a,1,2))]. 1112 x * R(y,x,y) = T(y * x,y). [hyper(961,a,1110,a)]. 1113 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(73,a,1110,a)]. 1115 (x \ T(x * y,y)) * x = x * R(y,x,y). [hyper(171,a,845,a,b,1112,a),flip(a)]. 1116 x * R(y,z,y) = T(y * x,y). [para(753(a,1),1112(a,1,2))]. 1118 (x * y) * a(z,u,z) = x * R(y,w,y). [hyper(171,a,1018,a(flip),b,1116,a),flip(a)]. 1119 R(x,y,x) = a(z,u,z) * x. [hyper(17,a,1019,a(flip),b,1116,a)]. 1120 a(x,y,x) = (z \ 1) * z. [hyper(354,a,1119,a),flip(a)]. 1121 R(x,y,x) = x * a(z,u,z). [hyper(171,a,775,a(flip),b,1119,a)]. 1122 R(x,y,x) * z = a(u,w,u) * (x * z). [para(1119(a,2),871(a,1,1))]. 1123 (x \ 1) * x = (y \ 1) * y. [hyper(171,a,1120,a(flip),b,1120,a(flip))]. 1124 R(x,y,(z \ 1) * z) = x. [para(1120(a,1),769(a,1,3))]. 1125 T(x,((y \ 1) * y) \ z) = T(x,z). [para(1120(a,1),967(a,1,2,1))]. 1126 R(x,y,K(z \ 1,z)) = x. [para(153(a,2),1124(a,1,3))]. 1127 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [hyper(171,a,703,a(flip),b,1126,a(flip)),flip(a)]. 1128 R(x,y,K(z,1 / z)) = x. [para(63(a,1),1126(a,1,3,1))]. 1129 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(1126(a,1),96(a,1,1)),flip(a)]. 1130 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(1126(a,1),319(a,1,1))]. 1131 R(x,y,K(1 / z,z)) = x. [para(718(a,2),1126(a,1,3,1))]. 1132 R(x,y,K(z,z \ 1)) = x. [para(723(a,1),1126(a,1,3,1))]. 1133 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(1128(a,1),96(a,1,1)),flip(a)]. 1134 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(171,a,703,a(flip),b,1132,a(flip)),flip(a)]. 1135 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(1132(a,1),96(a,1,1)),flip(a)]. 1136 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(1132(a,1),319(a,1,1))]. 1138 a(x,y,x) = z \ T(z,z \ 1). [hyper(815,a,1121,a),flip(a)]. 1139 a(x,y,x) = T(z,u) \ T(z,z \ u). [hyper(67,a,795,a(flip),b,1121,a(flip)),flip(a)]. 1140 T(x,y * a(z,u,z)) = T(x,y). [para(1121(a,1),959(a,1,2))]. 1141 R(x,y,x) * z = x * (a(u,w,u) * z). [para(1121(a,2),789(a,1,1))]. 1142 R(x,y,x) * z = (x * z) * a(u,w,u). [para(1121(a,2),1048(a,1,1))]. 1143 (x \ 1) * x = y * (1 / y). [hyper(406,a,1123,a),flip(a)]. 1150 K(x,x \ 1) / y = y \ 1. [hyper(68,a,728,a,b,1143,a)]. 1151 x \ T(x,x \ 1) != y | a(z,u,z) = y. [para(1138(a,1),833(a,1))]. 1152 T(x,y * a(z,u,z)) = L(T(x,y),w,a(v5,v6,v5)). [hyper(171,a,1024,a,b,1140,a)]. 1153 T(x,T(y,z) / z) = T(x,z \ y). [para(1051(a,2),1140(a,1,2))]. 1154 T(x,y / T(z,y)) = T(x,z \ y). [para(834(a,1),1153(a,1,2))]. 1156 T(x,y) \ T(x,x \ y) != z | a(u,w,u) = z. [para(1139(a,1),833(a,1))]. 1157 (x / y) * R(y,z,y) = x * a(u,w,u). [hyper(218,a,1118,a),flip(a)]. 1158 R(x,y,x) \ (a(z,u,z) * w) = x \ w. [hyper(67,a,79,a(flip),b,1122,a)]. 1159 K(R(x,y,x) * z,u) = K(x * z,u). [para(1122(a,2),772(a,1,1))]. 1160 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(755(a,1),1159(a,1,1,1)),flip(a)]. 1161 (x / y) * R(y,z,y) != x * u | a(w,v5,w) = u. [para(1157(a,2),19(a,1))]. 1162 ((x * y) * y) / (x * y) = x \ T(x * y,y). [hyper(18,a,488,a,b,1115,a),flip(a)]. 1163 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(1152(a,2),226(a,1)),flip(b)]. 1164 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(1016(a,1),1163(a,1,2))]. 1165 K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z. [hyper(360,a,1127,a),flip(a)]. 1166 R(x,K(y \ 1,y),z) = x. [hyper(325,a,1127,a)]. 1167 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(870(a,1),1127(a,2,2))]. 1168 R(x,K(y \ 1,y),z) = R(x,u,K(w \ 1,w)). [hyper(171,a,1126,a,b,1166,a)]. 1169 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(171,a,703,a(flip),b,1166,a(flip)),flip(a)]. 1170 R(x,K(y,y \ 1),z) = x. [para(723(a,1),1166(a,1,2,1))]. 1171 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(171,a,703,a(flip),b,1170,a(flip)),flip(a)]. 1172 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(68,a,16,a(flip),b,1167,a),flip(a)]. 1173 x * K(x \ 1,x) = 1 / (1 / x). [hyper(68,a,14,a(flip),b,1167,a),flip(a)]. 1174 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(1167(a,1),731(a,1,1)),flip(a)]. 1175 R(x,y,K(z \ 1,z)) != u | u = x. [para(1168(a,1),777(a,1))]. 1176 R(x,y,K(z,1 / z)) != u | u = x. [para(63(a,1),1175(a,1,3,1))]. 1177 R(x,y,K(z,z \ 1)) != u | u = x. [para(723(a,1),1175(a,1,3,1))]. 1179 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(1172(a,1),407(a,1))]. 1180 x * K(y \ 1,y) != z * (u * K(y \ 1,y)) | z * u = x. [para(1129(a,1),20(a,1)),flip(a)]. 1181 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(681(a,1),1129(a,2,2))]. 1182 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(218,a,1181,a),flip(a)]. 1183 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(681(a,1),1130(a,1,2)),flip(a)]. 1184 (x \ y) * K(y \ 1,y) = x \ (1 / (1 / y)). [para(1173(a,1),1130(a,1,2)),flip(a)]. 1185 L(x,K(y,y \ 1),z) = x. [hyper(298,a,1134,a)]. 1186 L(x,y * (1 / y),z) = x. [para(728(a,1),1185(a,1,2))]. 1187 (x * (y * (1 / y))) \ z = (y * (1 / y)) \ (x \ z). [hyper(171,a,169,a(flip),b,1186,a(flip)),flip(a)]. 1188 x * ((x \ y) * K(z,z \ 1)) = y * K(z,z \ 1). [hyper(368,a,1135,a),flip(a)]. 1189 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(298,a,1135,a)]. 1190 x * K(x,x \ 1) = T(x,x \ 1). [hyper(255,a,1135,a),flip(a)]. 1191 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(171,a,101,a(flip),b,1190,a)]. 1192 x \ T(x,x \ 1) = K(x,x \ 1). [hyper(73,a,1190,a)]. 1194 x * (x * (1 / x)) = T(x,x \ 1). [para(728(a,1),1190(a,1,2))]. 1195 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [para(1190(a,1),1134(a,1,1)),flip(a)]. 1196 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(1190(a,1),1135(a,2,2))]. 1197 x \ T(x,x \ 1) = K(x,1 / x). [para(718(a,2),1192(a,2,2))]. 1198 T(x,x \ 1) \ (x * L(y,(x * (1 / x)) \ 1,x * (1 / x))) = L(((x * (1 / x)) \ 1) * y,x * (1 / x),x). [para(1194(a,1),350(a,1,1))]. 1199 K(x,1 / x) = a(y,z,y). [hyper(1151,a,1197,a),flip(a)]. 1201 T(x,K(y,1 / y)) = x. [para(1199(a,2),764(a,1,2))]. 1202 L(x,y,K(z,1 / z)) = x. [para(1199(a,2),1024(a,1,3))]. 1203 R(x,y,a(z,u,z)) != w | w = x. [para(1199(a,1),1176(a,1,3))]. 1204 K(x,1 / x) * y = y * K(x,1 / x). [hyper(706,a,1201,a),flip(a)]. 1205 T(x,K(y \ 1,y)) = x. [para(60(a,1),1201(a,1,2,2))]. 1207 T(x,K(y,y \ 1)) = x. [para(718(a,1),1201(a,1,2,2))]. 1208 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(706,a,1205,a),flip(a)]. 1209 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(35,a,1205,a)]. 1210 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(1205(a,1),182(a,1,2))]. 1211 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(706,a,1207,a),flip(a)]. 1212 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(1207(a,1),182(a,1,2))]. 1213 L(x,y,K(z \ 1,z)) = x. [para(60(a,1),1202(a,1,3,2))]. 1214 L(x,y,z * (1 / z)) = x. [para(156(a,1),1202(a,1,3))]. 1215 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(1202(a,1),89(a,1,2))]. 1216 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(1202(a,1),263(a,1,2)),flip(a)]. 1217 L(x,y,K(z,z \ 1)) = x. [para(718(a,1),1202(a,1,3,2))]. 1218 L(x,y,K(z \ 1,z)) = u \ (u * x). [hyper(171,a,13,a,b,1213,a)]. 1219 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(171,a,91,a(flip),b,1213,a(flip)),flip(a)]. 1220 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(1213(a,1),345(a,1,2))]. 1221 ((x * (1 / x)) * y) \ z = y \ ((x * (1 / x)) \ z). [hyper(171,a,169,a(flip),b,1214,a(flip)),flip(a)]. 1222 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(171,a,91,a(flip),b,1217,a(flip)),flip(a)]. 1223 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(1217(a,1),263(a,1,2)),flip(a)]. 1224 T((x \ 1) * x,y) = K(x \ 1,x). [para(153(a,1),1209(a,1,1))]. 1227 L(x,y,K(z \ 1,z)) != u | u = x. [para(1218(a,2),203(a,1))]. 1228 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(171,a,1133,a(flip),b,1204,a)]. 1229 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(171,a,1184,a(flip),b,1208,a)]. 1230 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(171,a,1181,a(flip),b,1208,a)]. 1231 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(171,a,1129,a(flip),b,1208,a)]. 1232 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(1208(a,2),421(a,1,1))]. 1233 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(1208(a,1),480(a,1,2))]. 1234 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(1208(a,2),1130(a,1,2))]. 1235 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(171,a,1191,a(flip),b,1211,a)]. 1236 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [para(1235(a,1),1134(a,2,2))]. 1237 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [para(1211(a,1),1195(a,1,2))]. 1238 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(218,a,1196,a),flip(a)]. 1239 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(171,a,1211,a,b,1196,a(flip)),flip(a)]. 1240 (x / y) * T(y,y \ 1) != z | x * K(y,y \ 1) = z. [para(1196(a,1),218(a,1))]. 1241 K(x \ 1,x) * y != z * (x \ 1) | z * (1 / x) = y. [para(1230(a,1),19(a,1)),flip(a)]. 1242 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(171,a,191,a(flip),b,1237,a)]. 1243 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(17,a,620,a(flip),b,1237,a)]. 1244 T(x,x \ 1) * y != x * z | y * K(x,x \ 1) = z. [para(1237(a,1),19(a,1))]. 1245 T(x,x \ 1) * y != x * (z * K(x,x \ 1)) | y = z. [para(1237(a,2),19(a,2))]. 1246 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(171,a,192,a(flip),b,1238,a(flip)),flip(a)]. 1247 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(171,a,192,a(flip),b,1239,a)]. 1248 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(171,a,1135,a,b,1242,a(flip)),flip(a)]. 1250 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(115(a,1),1246(a,1,1)),flip(a)]. 1251 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(1223(a,1),1212(a,1))]. 1252 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [para(1191(a,1),1136(a,1,2)),flip(a)]. 1253 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(1211(a,2),1136(a,1,2))]. 1254 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(1169(a,1),30(a,2,1,1)),flip(a)]. 1255 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(870(a,1),1169(a,1,1)),flip(a)]. 1256 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(1208(a,1),1169(a,1,1))]. 1257 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(1255(a,1),19(a,1)),flip(a)]. 1259 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(1255(a,1),346(a,1,1))]. 1260 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(325,a,1171,a)]. 1261 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(1211(a,1),1171(a,1,1))]. 1262 (x * (1 / x)) \ (x \ y) = T(x,x \ 1) \ y. [para(1194(a,1),1187(a,1,1)),flip(a)]. 1263 T(x,x \ 1) \ (x * y) = (x * (1 / x)) \ y. [para(13(a,1),1262(a,1,2)),flip(a)]. 1264 (x * (1 / x)) \ (T(x,x \ 1) * y) = x * y. [hyper(631,a,1263,a),flip(a)]. 1265 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(171,a,1204,a(flip),b,1215,a)]. 1266 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(1255(a,1),1219(a,1,1))]. 1267 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(17,a,1255,a,b,1231,a),flip(a)]. 1268 K(x \ 1,x) * y != z * (u * K(x \ 1,x)) | z * u = y. [para(1231(a,1),19(a,1)),flip(a)]. 1269 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [para(1173(a,1),1231(a,2,2))]. 1270 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [para(1208(a,2),1231(a,2,2))]. 1271 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(67,a,14,a(flip),b,1267,a),flip(a)]. 1273 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(1256(a,1),28(a,2,1)),flip(a)]. 1274 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(1256(a,1),308(a,1,2,2))]. 1275 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [hyper(171,a,1211,a(flip),b,1261,a)]. 1276 K(x,x \ 1) * y != (z * K(x,x \ 1)) * u | z * u = y. [para(1261(a,2),19(a,1)),flip(a)]. 1277 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(1252(a,1),1261(a,1,1)),flip(a)]. 1278 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(68,a,80,a(flip),b,1265,a)]. 1279 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(382,a,1270,a),flip(a)]. 1280 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [hyper(67,a,1255,a(flip),b,1270,a(flip))]. 1281 (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w. [para(1270(a,2),308(a,1,2,2))]. 1282 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(1270(a,1),1234(a,1,2))]. 1283 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(171,a,199,a(flip),b,1279,a)]. 1284 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(1283(a,1),1169(a,1,1)),flip(a)]. 1285 (x * K(y,y \ 1)) / z = (x / z) * K(y,y \ 1). [hyper(68,a,80,a(flip),b,1275,a)]. 1286 (x * K(y,y \ 1)) * z = (x * z) * (y * (1 / y)). [para(728(a,1),1275(a,2,2))]. 1287 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(509,a,1278,a)]. 1288 (1 / (1 / x)) * K(x,x \ 1) = x. [hyper(18,a,61,a(flip),b,1286,a)]. 1289 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1288(a,1),97(a,2,2))]. 1290 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(1288(a,1),1261(a,1,1)),flip(a)]. 1291 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(188(a,1),1290(a,1,2))]. 1292 (1 / x) * K(y,y \ 1) = x \ 1. [hyper(1251,a,1150,a)]. 1293 K(x \ 1,x) = K(y,y \ 1). [hyper(682,a,1292,a)]. 1296 K(x,x \ 1) = K(y,y \ 1). [hyper(17,a,1292,a,b,1292,a)]. 1297 (x \ 1) / ((y \ 1) \ 1) = (1 / x) / y. [hyper(68,a,1292,a(flip),b,1246,a)]. 1300 K(x \ 1,x) = K(y \ 1,y). [hyper(171,a,1293,a,b,1293,a)]. 1301 K(x \ 1,x) = K(1 / y,y). [para(63(a,1),1293(a,2,2))]. 1302 K(x \ 1,x) * y = (y \ 1) \ 1. [para(1293(a,2),1235(a,1,1))]. 1308 K(x,x \ 1) != y * z | 1 / y = z. [para(1296(a,1),828(a,1))]. 1331 x * K(y,y \ 1) = z * ((z \ x) * K(u,u \ 1)). [para(1296(a,1),1188(a,1,2,2)),flip(a)]. 1356 (x \ (1 / y)) * K(z \ 1,z) = x \ (y \ 1). [para(1300(a,1),1183(a,1,2))]. 1370 K(x \ 1,x) * (y * z) = y * (1 / (1 / z)). [para(1300(a,1),1269(a,1,1))]. 1382 x * K(1 / y,y) = 1 / (1 / x). [para(1301(a,1),1173(a,1,2))]. 1383 (x \ 1) \ 1 != y | x = y. [para(1302(a,1),125(a,1))]. 1384 K(K(x \ 1,x) * y,z) = K(y,z). [para(1302(a,2),736(a,1,1))]. 1385 K(x * K(y \ 1,y),z) = K(x,z). [para(1208(a,1),1384(a,1,1))]. 1386 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(1230(a,1),1384(a,1,1)),flip(a)]. 1387 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(1269(a,1),1384(a,1,1))]. 1388 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(1279(a,1),1384(a,1,1))]. 1389 K(x * K(y,y \ 1),z) = K(x,z). [para(723(a,1),1385(a,1,1,2,1))]. 1390 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(1172(a,1),1385(a,1,1))]. 1391 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(1183(a,1),1385(a,1,1)),flip(a)]. 1392 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(1253(a,2),1389(a,1,1))]. 1393 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(153(a,1),1388(a,1,1,2))]. 1394 (1 / x) \ (1 / y) = (x \ 1) \ (y \ 1). [hyper(18,a,1271,a,b,1356,a)]. 1399 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(311(a,1),468(a,1,2,1)),flip(a)]. 1400 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(473(a,1),295(a,1,2)),flip(a)]. 1401 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(338(a,1),476(a,1,1,1)),flip(a)]. 1402 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(478(a,1),324(a,1,1)),flip(a)]. 1403 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(171,a,329,a(flip),b,492,a(flip))]. 1405 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(89(a,1),514(a,1,1,1,1))]. 1406 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(130(a,1),528(a,1,2,1,2))]. 1407 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(91(a,1),528(a,1,2,1,2))]. 1408 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(169(a,1),528(a,1,2,1,2))]. 1409 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(529(a,1),296(a,1,2)),flip(a)]. 1410 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(538,a,562,a(flip)),flip(a)]. 1411 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1410(a,1),63(a,1,1))]. 1413 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(171,a,283,a(flip),b,565,a)]. 1414 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(621(a,1),566(a,1,1,1))]. 1415 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(51(a,1),1082(a,1,2,1,2))]. 1420 (((x * y) / a(z,u,z)) * w) / ((y * (a(z,u,z) \ 1)) * w) = R(R(x,y,a(z,u,z) \ 1),y * (a(z,u,z) \ 1),w). [para(790(a,1),326(a,1,1,1))]. 1421 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(810(a,1),342(a,1,1))]. 1422 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [para(723(a,1),435(a,2,2)),flip(a)]. 1423 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [para(794(a,2),435(a,2,2))]. 1424 K(x,(y \ 1) \ 1) = K(x,y). [hyper(171,a,435,a(flip),b,1422,a),flip(a)]. 1425 K(x,1 / y) = K(x,y \ 1). [para(63(a,1),1424(a,1,2,1)),flip(a)]. 1426 K(x,1 / (1 / y)) = K(x,y). [para(119(a,1),1424(a,1,2)),flip(a)]. 1427 K(x,R(y,z,y)) = K(x,y). [para(754(a,2),1424(a,1,2))]. 1428 K(x,T(y,1 / y)) = K(x,y). [para(918(a,2),1424(a,1,2))]. 1429 K(x,K(y \ 1,y) * z) = K(x,z). [para(1302(a,2),1424(a,1,2))]. 1430 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(795(a,1),1427(a,1,2))]. 1431 K(x,T(y,y * z)) = K(x,T(y,z)). [para(785(a,1),1427(a,1,2)),flip(a)]. 1432 K(x,y * a(z,u,z)) = K(x,y). [para(1121(a,1),1427(a,1,2))]. 1433 K(x,L(y,z,y)) = K(x,y). [para(757(a,2),1426(a,1,2))]. 1434 K(x,a(y,z,y) \ u) = K(x,u). [para(770(a,1),1433(a,1,2))]. 1435 K(x,T(y / z,y)) = K(x,z \ y). [para(804(a,1),1433(a,1,2))]. 1436 K(x,T(y * z,y)) = K(x,z * y). [para(1016(a,1),1432(a,1,2))]. 1437 K(x,y * R(z,u,z)) = K(x,y * z). [para(1118(a,1),1432(a,1,2))]. 1438 K(x,R(y,z,y) * u) = K(x,y * u). [para(1142(a,2),1432(a,1,2))]. 1439 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(1012(a,2),1434(a,1,2))]. 1440 K(x,K(y,1 / y) * z) = K(x,z). [para(63(a,1),1429(a,1,2,1,1))]. 1441 K(x,K(y,y \ 1) * z) = K(x,z). [para(723(a,1),1429(a,1,2,1,1))]. 1442 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(101(a,1),1430(a,1,2))]. 1443 K(x,T(y,z * y)) = K(x,T(y,z)). [para(913(a,2),1431(a,1,2))]. 1444 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(339(a,1),1435(a,1,2))]. 1445 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),1436(a,1,2,1)),flip(a)]. 1446 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(1216(a,1),1440(a,1,2))]. 1447 K(x,y * K(z,z \ 1)) = K(x,y). [para(1211(a,1),1441(a,1,2))]. 1448 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(1247(a,1),1441(a,1,2))]. 1449 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(845(a,1),1445(a,1,2)),flip(a)]. 1450 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(1243(a,1),1447(a,1,2))]. 1451 K(x,y * T(z,z * u)) = K(x,y * T(z,u)). [para(785(a,1),1437(a,1,2,2)),flip(a)]. 1452 K(R(x,y,x),R(z,u,z) * w) = K(x,z * w). [hyper(171,a,830,a(flip),b,1438,a)]. 1453 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(1019(a,2),1439(a,1,2,1))]. 1454 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(1119(a,2),1439(a,1,2,1))]. 1455 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(795(a,1),1454(a,1,2,1))]. 1456 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(1158(a,1),1454(a,1,2)),flip(a)]. 1457 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(1019(a,2),1456(a,1,2,2))]. 1458 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),1453(a,1,2,1,1)),flip(a)]. 1459 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(101(a,1),1455(a,1,2,1))]. 1460 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [para(794(a,1),1455(a,2,2,1))]. 1461 K(x,y \ ((z \ u) * z)) = K(x,y \ T(u,z)). [para(14(a,1),1457(a,1,2,2,1)),flip(a)]. 1462 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(60(a,1),1444(a,1,2,1,1))]. 1463 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(443(a,2),19(a,1))]. 1464 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(91(a,1),498(a,1,2,1))]. 1468 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(89(a,1),535(a,1,1))]. 1470 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(728(a,2),541(a,1,1))]. 1471 (T((x / y) / z,u) * z) * y = (z * y) * T((z * y) \ x,u). [hyper(171,a,276,a(flip),b,545,a)]. 1472 T(x / (x / y),y \ x) = y. [hyper(933,a,568,a)]. 1474 T(x / (x / (x / y)),y) = x / y. [para(63(a,1),1472(a,1,2))]. 1475 ((x \ y) * x) / (x \ y) = y / (y / x). [para(1472(a,1),135(a,1,1,2))]. 1476 ((x \ y) * x) / (x \ y) != z | y / (y / x) = z. [para(1472(a,1),216(a,1,1,2)),flip(b)]. 1477 T(L(x,y,x),x \ 1) = x. [para(757(a,2),1472(a,1,1))]. 1478 L(T(x,x \ 1),y,x) = x. [hyper(171,a,40,a,b,1477,a(flip)),flip(a)]. 1479 L(R(x,y,x),z,x) = x. [para(813(a,1),1478(a,1,1))]. 1480 (x * (y / x)) / x = y / (y / (y / x)). [para(1474(a,1),135(a,1,1,2))]. 1481 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(1480(a,1),532(a,1,1))]. 1482 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(135(a,1),582(a,1,2,2))]. 1483 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(257,a,597,a),flip(a)]. 1484 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(147(a,1),1483(a,1,2)),flip(a)]. 1485 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(396,a,1484,a)]. 1486 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(394,a,1484,a),flip(a)]. 1487 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(73,a,1484,a)]. 1488 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(67,a,79,a(flip),b,1484,a)]. 1489 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(67,a,54,a(flip),b,1484,a),flip(a)]. 1490 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(728(a,2),1484(a,1,2))]. 1491 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(1489(a,1),730(a,1,2)),flip(a)]. 1492 x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). [para(32(a,2),1485(a,2,2))]. 1493 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(67,a,32,a,b,1486,a),flip(a)]. 1494 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1487(a,1),1413(a,1,1,1)),flip(a)]. 1496 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(73,a,610,a)]. 1497 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(67,a,100,a(flip),b,610,a),flip(a)]. 1498 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),610(a,2,2,1,2))]. 1499 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(12(a,1),1497(a,2,2,1,2))]. 1500 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(171,a,274,a,b,1499,a),flip(a)]. 1501 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(73,a,1498,a),flip(a)]. 1502 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(686(a,2),1498(a,1,2)),flip(a)]. 1503 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(1082,a,1502,a),flip(a)]. 1504 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(378,a,1502,a),flip(a)]. 1505 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(171,a,580,a(flip),b,1502,a(flip)),flip(a)]. 1506 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1502(a,1,2,1)),flip(a)]. 1507 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(26(a,2),1502(a,2,2,1,2,2))]. 1508 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1502(a,2,2,1,2,2))]. 1509 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(57(a,1),1502(a,2,2,1,2))]. 1510 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1504(a,1,1,2))]. 1511 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(32(a,2),1504(a,1,1,2,2))]. 1512 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(16(a,1),1505(a,1,1,1)),flip(a)]. 1514 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(68,a,276,a(flip),b,611,a)]. 1515 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(11(a,1),611(a,2,1,1,1))]. 1516 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(171,a,276,a(flip),b,1515,a)]. 1517 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(276(a,1),1516(a,1,1))]. 1518 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(686(a,2),1517(a,1,1))]. 1519 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(78,a,1518,a),flip(a)]. 1520 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(15(a,1),1519(a,1,1,2))]. 1521 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1519(a,1,1,2,2))]. 1522 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(102(a,1),642(a,1,2)),flip(a)]. 1523 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(60(a,1),1522(a,1,2,1,1)),flip(a)]. 1524 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),676(a,1,1)),flip(a)]. 1525 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(396,a,1524,a)]. 1526 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(382,a,1524,a),flip(a)]. 1527 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(67,a,54,a(flip),b,1524,a),flip(a)]. 1528 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(286(a,1),1527(a,1,2,1)),flip(a)]. 1529 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(469,a,1525,a),flip(a)]. 1531 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),1282(a,2,1))]. 1533 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(15(a,1),1471(a,1,1,1,1,1)),flip(a)]. 1534 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [para(102(a,1),1471(a,1,1,1)),flip(a)]. 1535 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [hyper(171,a,541,a(flip),b,1534,a(flip)),flip(a)]. 1536 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(171,a,461,a(flip),b,1534,a(flip))]. 1537 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [hyper(1089,a,1536,a)]. 1538 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(60(a,1),1536(a,1,1,1,2)),flip(a)]. 1539 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1536(a,1),1174(a,2,1))]. 1541 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(552(a,1),1535(a,1,2)),flip(a)]. 1542 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(580(a,1),1535(a,1,2)),flip(a)]. 1543 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1496(a,1,2,2,1,2)),flip(a)]. 1544 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(171,a,276,a(flip),b,1514,a)]. 1545 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [hyper(558,a,1533,a)]. 1546 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [para(13(a,1),1533(a,1,2,1)),flip(a)]. 1547 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(276(a,1),1533(a,2,1))]. 1548 (x * T(y,z)) * y = (x * y) * T(y,z). [para(277(a,1),1546(a,1,1))]. 1549 (1 / T(x,y)) * x = x / T(x,y). [hyper(405,a,1548,a),flip(a)]. 1550 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(218,a,1548,a),flip(a)]. 1551 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(171,a,80,a(flip),b,1548,a)]. 1552 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(68,a,65,a(flip),b,1548,a),flip(a)]. 1554 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(102(a,1),1548(a,1,1,2)),flip(a)]. 1555 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(171,a,717,a(flip),b,1549,a)]. 1556 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1550(a,1),20(a,1)),flip(a)]. 1557 T((x / y) * T(y,x),y) = x. [hyper(138,a,1551,a,b,100,a(flip))]. 1558 (x / y) * T(y,x) = (y * x) / y. [hyper(68,a,100,a(flip),b,1551,a),flip(a)]. 1560 T(x * T(x \ y,y),x \ y) = y. [para(60(a,1),1557(a,1,1,1))]. 1562 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(247(a,1),1558(a,1,1)),flip(a)]. 1563 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(1240,a,1552,a)]. 1565 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(134(a,1),1554(a,1,2)),flip(a)]. 1566 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(134(a,1),1545(a,1,1,1)),flip(a)]. 1567 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1499(a,1),1538(a,1,2)),flip(a)]. 1568 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(85(a,1),1567(a,2,2))]. 1569 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(13(a,1),1568(a,1,1,1))]. 1570 (x * y) * ((y * x) \ y) = y * K(x,y). [para(13(a,1),1569(a,2,2,1))]. 1571 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(67,a,1570,a(flip),b,80,a(flip))]. 1573 (x * K(y,x)) \ (y * x) != z | L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = z. [para(1570(a,1),262(a,1,1))]. 1575 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1543(a,1,1))]. 1576 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(100(a,1),1544(a,1,1)),flip(a)]. 1577 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(540(a,1),1544(a,1,1)),flip(a)]. 1578 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(171,a,541,a(flip),b,1547,a(flip)),flip(a)]. 1579 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(171,a,461,a(flip),b,1547,a(flip))]. 1580 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),1547(a,1,2,1,2))]. 1581 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(171,a,541,a(flip),b,1580,a(flip)),flip(a)]. 1582 T(x,x * T(x \ 1,y)) = x. [hyper(138,a,461,a(flip),b,1580,a(flip))]. 1583 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1580(a,1),1511(a,2,2))]. 1584 T(x \ 1,x \ T(x,y)) = x \ 1. [para(577(a,1),1582(a,1,2))]. 1585 T(1 / x,T(x,y) / x) = 1 / x. [para(587(a,1),1582(a,1,2))]. 1586 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1585(a,1),283(a,1,1,2)),flip(a)]. 1587 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(100(a,1),1581(a,1,2)),flip(a)]. 1588 T(x,y * T(y \ 1,x)) = x. [hyper(138,a,1537,a(flip),b,1587,a)]. 1589 T(x,y \ T(y,x)) = x. [para(577(a,1),1588(a,1,2))]. 1590 T(x,K(y,x)) = x. [para(1500(a,2),1588(a,1,2))]. 1591 T(T(x,y),K(z,x)) = T(x,y). [para(1590(a,1),38(a,1,1)),flip(a)]. 1592 K(x,y) * y = y * K(x,y). [para(1590(a,1),100(a,1,2))]. 1593 (x * K(y,x)) / x = K(y,x). [para(1590(a,1),115(a,1,2))]. 1594 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(1590(a,1),146(a,1,2,1)),flip(a)]. 1595 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(1590(a,1),148(a,1,2,1)),flip(a)]. 1597 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(1589(a,1),100(a,1,2))]. 1598 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(1589(a,1),146(a,1,2,1)),flip(a)]. 1599 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(1591(a,1),146(a,1,2,1)),flip(a)]. 1600 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(1591(a,1),148(a,1,2,1)),flip(a)]. 1601 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(1591(a,1),256(a,1,2,1))]. 1602 T(x * K(y,x),x) = x * K(y,x). [hyper(884,a,1592,a)]. 1603 (x * K(y,x)) / x != z | K(y,x) = z. [para(1592(a,1),213(a,1,1)),flip(b)]. 1604 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(1592(a,1),96(a,1,2))]. 1605 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(1592(a,1),325(a,2,2))]. 1606 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(171,a,1414,a,b,1593,a(flip)),flip(a)]. 1607 T(K(x,y),y \ 1) = K(x,y). [hyper(171,a,952,a,b,1593,a(flip)),flip(a)]. 1608 T(K(x,y),1 / y) = K(x,y). [hyper(171,a,956,a,b,1607,a(flip)),flip(a)]. 1609 T(1 / x,K(y,x)) = 1 / x. [hyper(35,a,1608,a)]. 1610 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(952(a,2),1603(a,1))]. 1612 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(1595(a,1),19(a,1)),flip(a)]. 1613 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(139,a,1598,a)]. 1614 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(171,a,32,a,b,1583,a),flip(a)]. 1615 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1583(a,2),14(a,1,2)),flip(a)]. 1617 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(171,a,686,a(flip),b,1614,a),flip(a)]. 1618 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(67,a,1614,a,b,686,a(flip))]. 1619 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(22,a,1600,a)]. 1620 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1617(a,1),140(a,1)),flip(b)]. 1621 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1584(a,1),1618(a,1,2,1,2)),flip(a)]. 1622 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1565(a,1,1,2)),flip(a)]. 1623 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(405,a,1622,a),flip(a)]. 1624 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(402,a,1622,a)]. 1625 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(68,a,61,a(flip),b,1622,a),flip(a)]. 1626 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(68,a,53,a(flip),b,1622,a)]. 1627 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(68,a,809,a(flip),b,1623,a)]. 1628 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1626(a,1),885(a,1,2))]. 1630 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),z) = (x * T(x \ y,z)) * (1 / x). [hyper(171,a,1083,a,b,1578,a(flip)),flip(a)]. 1631 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1578(a,1,2,2,1,2,2))]. 1632 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1578(a,1,2,2,1,2,2)),flip(a)]. 1633 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(91(a,2),1578(a,1,2,2,1,2)),flip(a)]. 1634 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(14(a,1),1621(a,2,2,1))]. 1636 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(122(a,1),1634(a,2,2))]. 1638 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1632(a,1),205(a,1,2))]. 1639 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(552(a,1),1632(a,1,1)),flip(a)]. 1640 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(530(a,1),295(a,1,2)),flip(a)]. 1641 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(544(a,1),305(a,1,2))]. 1642 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(242(a,1),695(a,1,1)),flip(a)]. 1643 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(13(a,1),1642(a,1,2)),flip(a)]. 1644 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1642(a,1),14(a,1,2))]. 1645 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(270,a,xx,b,1644,a)]. 1646 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(13(a,1),1643(a,1,1)),flip(a)]. 1647 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1646(a,1),14(a,1,2))]. 1648 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1647(a,1),972(a,2,1,1))]. 1649 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(276(a,1),821(a,2,1))]. 1650 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),859(a,1,1))]. 1652 (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). [para(792(a,1),1093(a,1,2,2))]. 1654 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1494(a,2,1))]. 1655 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1654(a,1),277(a,1,1)),flip(a)]. 1656 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,147,a,b,1655,a),flip(a)]. 1657 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(308,a,1652,a)]. 1661 L(R(x,y,x),z,u) = L(x,z,u) * a(w,v5,w). [para(1121(a,2),1657(a,1,1))]. 1662 R(L(x,y,z),u,L(x,y,z)) = L(R(x,w,x),y,z). [hyper(171,a,1121,a,b,1661,a),flip(a)]. 1663 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,w,L(z,y,x))). [para(1662(a,1),303(a,1,2))]. 1665 x * R(y,z,L(y,x,u)) = x * R(y,w,y). [hyper(299,a,1663,a),flip(a)]. 1666 R(x,y,L(x,z,u)) = R(x,w,x). [hyper(292,a,1665,a),flip(a)]. 1668 R(x,y,L(x,z,u)) = T(x,x \ 1). [hyper(171,a,813,a,b,1666,a)]. 1671 T(x,x \ 1) \ L(x,y,z) = (x \ 1) * L(x,y,z). [para(1668(a,1),264(a,1,1))]. 1672 (x * y) * z != u | R(x * (y * z),x,y) = u. [para(702(a,1),507(a,1))]. 1673 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(560,a,671,a),flip(a)]. 1674 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(60(a,1),1673(a,1,2)),flip(a)]. 1675 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(407,a,1674,a),flip(a)]. 1677 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1675(a,1),14(a,1,2))]. 1678 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(270,a,xx,b,1677,a)]. 1679 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(153(a,2),595(a,1,1))]. 1680 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(171,a,417,a(flip),b,598,a)]. 1681 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(523,a,599,a)]. 1682 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(572,a,613,a)]. 1683 ((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),613(a,1,2))]. 1684 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(533,a,645,a)]. 1685 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1526(a,1),1684(a,1,1))]. 1686 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(18,a,714,a,b,1685,a),flip(a)]. 1687 T(x,y \ ((x * y) / x)) = x. [para(1686(a,1),797(a,1,2))]. 1688 T(x,T(y,x) \ y) = x. [para(135(a,1),1687(a,1,2,2))]. 1689 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(674(a,1),262(a,1))]. 1690 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(63(a,1),693(a,1,2)),flip(a)]. 1691 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1690(a,2,1,1))]. 1692 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(63(a,1),1691(a,1,2,1))]. 1693 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(171,a,719,a(flip),b,1692,a)]. 1694 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1692(a,1),91(a,2,1))]. 1695 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(1692(a,1),460(a,1,2))]. 1696 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [hyper(407,a,1693,a),flip(a)]. 1697 T(1 / x,L(x,y,z)) = x \ 1. [hyper(138,a,1693,a,b,663,a)]. 1699 (x \ 1) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z). [para(1696(a,1),14(a,1,2))]. 1700 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(171,a,130,a(flip),b,1699,a),flip(a)]. 1701 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(130(a,1),1700(a,2,2,2)),flip(a)]. 1702 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(73,a,1701,a)]. 1703 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(1702(a,1),169(a,1,1))]. 1704 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(161(a,1),1703(a,2,1))]. 1705 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(60(a,1),698(a,1,1,2,1))]. 1706 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [para(718(a,1),873(a,2,3))]. 1707 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(979(a,2),287(a,1))]. 1708 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(1038(a,1),1036(a,1,1))]. 1709 T(x,T(y,T(x,z))) = T(x,y). [hyper(171,a,895,a(flip),b,1708,a(flip))]. 1713 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(205,a,1104,a),flip(a)]. 1714 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(73,a,1399,a)]. 1715 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(73,a,1400,a)]. 1716 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [hyper(171,a,417,a(flip),b,1401,a)]. 1717 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1402(a,2,1,1,1))]. 1718 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(171,a,423,a(flip),b,1717,a)]. 1719 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(423(a,1),1718(a,1,1))]. 1720 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(78,a,1719,a),flip(a)]. 1721 (((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(30(a,2),1720(a,1,1)),flip(a)]. 1722 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(171,a,303,a(flip),b,1405,a)]. 1723 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(100(a,1),1722(a,1,1,1,1,2))]. 1724 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(148(a,1),1723(a,2,2))]. 1725 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(653,a,1406,a),flip(a)]. 1726 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(89(a,1),1406(a,1,1))]. 1727 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(73,a,1409,a)]. 1728 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1549(a,1),1482(a,1,2))]. 1729 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(60(a,1),1523(a,1,1,1)),flip(a)]. 1730 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(461(a,1),1579(a,1,1))]. 1731 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(1619(a,1),71(a,1))]. 1732 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(15(a,1),1680(a,1,1,1,1,1)),flip(a)]. 1733 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(423(a,1),1681(a,2,1))]. 1734 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(524(a,1),1682(a,2,1))]. 1735 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1714(a,1,2,2,1,2)),flip(a)]. 1736 (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(28(a,2),1735(a,1,1)),flip(a)]. 1737 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1715(a,1,2,2,1,2)),flip(a)]. 1738 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). [para(32(a,2),1737(a,1,1)),flip(a)]. 1739 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(417(a,1),1716(a,1,1))]. 1740 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1727(a,1,2,2,1))]. 1741 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(291,a,1740,a)]. 1742 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1740(a,1),291(a,1))]. 1743 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(590(a,1),1741(a,1,2)),flip(a)]. 1744 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1741(a,2),1725(a,1,2))]. 1745 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(13(a,1),1732(a,1,2,1)),flip(a)]. 1746 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(417(a,1),1732(a,2,1))]. 1747 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(418(a,1),1745(a,1,1))]. 1748 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(402,a,1747,a)]. 1749 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(73,a,1747,a)]. 1750 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(67,a,80,a(flip),b,1747,a)]. 1752 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1749(a,1),1566(a,1,1)),flip(a)]. 1753 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1752(a,1),420(a,1,2))]. 1754 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(171,a,595,a(flip),b,1733,a(flip)),flip(a)]. 1755 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(138,a,1733,a(flip),b,1400,a),flip(a)]. 1756 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(138,a,1733,a(flip),b,595,a(flip)),flip(a)]. 1757 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(67,a,1733,a(flip),b,1400,a),flip(a)]. 1758 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),1733(a,1,2,1,2))]. 1759 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1733(a,1,2,1)),flip(a)]. 1762 (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(456(a,1),1733(a,1,2,1)),flip(a)]. 1763 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1759(a,1,1,2,1))]. 1764 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(218,a,1763,a),flip(a)]. 1765 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(73,a,1763,a)]. 1766 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(68,a,80,a(flip),b,1763,a)]. 1767 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1764(a,1),213(a,1,1)),flip(b)]. 1768 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1765(a,1),1566(a,1,1)),flip(a)]. 1769 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1768(a,1),148(a,1,2)),flip(a)]. 1770 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1768(a,1),420(a,1,2))]. 1772 T(x * y,x) * T(x,y) = (x * y) * R(x,z,x). [para(1116(a,1),1770(a,1,1))]. 1774 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1756(a,1,2,1,2)),flip(a)]. 1775 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(67,a,1774,a,b,xx)]. 1777 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(171,a,595,a(flip),b,1758,a(flip)),flip(a)]. 1778 T(x,x * R(x \ 1,y,z)) = x. [hyper(138,a,535,a(flip),b,1758,a(flip))]. 1779 T(x,(y / (x * y)) * x) = x. [para(511(a,2),1778(a,1,2))]. 1780 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(426(a,1),1778(a,1,2))]. 1781 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(665(a,1),1778(a,1,2))]. 1782 T(x,x * (y / (x * y))) = x. [hyper(942,a,1779,a)]. 1783 T(x,x * ((x \ y) / y)) = x. [para(14(a,1),1782(a,1,2,2,2))]. 1784 T(x / y,(x / y) * (y / x)) = x / y. [para(16(a,1),1782(a,1,2,2,2))]. 1785 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1783(a,1),193(a,1,1)),flip(a)]. 1786 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(840,a,1781,a)]. 1787 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1784(a,1),149(a,1,1)),flip(a)]. 1788 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1780(a,1),491(a,1,1))]. 1789 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(171,a,102,a(flip),b,1787,a)]. 1791 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(1786(a,1),213(a,1,1)),flip(b)]. 1792 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(13(a,1),1777(a,1,2,2,1,2))]. 1794 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(78,a,1739,a)]. 1795 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),1746(a,1,2,1,2))]. 1797 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(171,a,596,a(flip),b,1795,a(flip)),flip(a)]. 1798 T(x,x * L(x \ 1,y,z)) = x. [hyper(138,a,537,a(flip),b,1795,a(flip))]. 1800 K(x,x * L(x \ 1,y,z)) = 1. [hyper(36,a,1798,a)]. 1801 T(x,x * ((y * x) \ y)) = x. [para(130(a,1),1798(a,1,2,2))]. 1802 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(242(a,1),1798(a,1,2,2))]. 1803 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(419(a,1),1798(a,1,2))]. 1804 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(1798(a,1),725(a,1)),flip(a)]. 1805 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1691(a,1),1798(a,1,2))]. 1806 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1801(a,1),459(a,1,1,2))]. 1807 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(589(a,1),1801(a,1,2,2,1))]. 1808 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1805(a,1),283(a,1,1,2)),flip(a)]. 1809 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1803(a,1),491(a,1,1))]. 1810 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(1803(a,1),1443(a,1,2)),flip(a)]. 1812 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(35,a,1807,a)]. 1814 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [hyper(171,a,757,a(flip),b,1806,a)]. 1815 T(1 / (1 / x),(y * x) \ y) = x. [para(1814(a,1),134(a,1,1))]. 1816 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(14(a,1),1815(a,1,2,1))]. 1817 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(11(a,1),1794(a,1,1,2,1,2)),flip(a)]. 1818 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),1817(a,1,1)),flip(a)]. 1819 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(171,a,24,a,b,317,a),flip(a)]. 1820 K(x,T(y,z)) != u | K(x,(y \ z) \ z) = u. [para(1423(a,1),436(a,1))]. 1821 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(1169(a,1),1254(a,1,1))]. 1823 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(1213(a,1),1259(a,1,2))]. 1828 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(1823(a,1),1615(a,2,2,1,2)),flip(a)]. 1830 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(171,a,1220,a(flip),b,1821,a(flip)),flip(a)]. 1832 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),1830(a,1,2)),flip(a)]. 1836 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(26(a,2),1507(a,1,2,1)),flip(a)]. 1837 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(686(a,1),1836(a,1,2))]. 1838 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(73,a,1837,a)]. 1839 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1802(a,1),1510(a,2,2,2))]. 1840 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1789(a,1),1520(a,2,1,2))]. 1841 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1785(a,1),1520(a,2,1,2))]. 1842 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(100(a,1),1639(a,1,2)),flip(a)]. 1843 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [hyper(995,a,1842,a)]. 1844 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),1843(a,2,2,1,2)),flip(a)]. 1845 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(85(a,1),1844(a,1,2,1)),flip(a)]. 1846 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1844(a,1),289(a,1,2))]. 1847 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(73,a,1640,a)]. 1848 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),1640(a,2,2,1,2,2))]. 1849 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1741(a,2),1848(a,1,2))]. 1850 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),1849(a,1,2,2,1,2)),flip(a)]. 1851 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(138,a,1734,a(flip),b,1850,a(flip))]. 1852 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(171,a,1741,a(flip),b,1851,a),flip(a)]. 1853 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = T(x,y) * (1 / T(x,y)). [para(14(a,1),1852(a,1,2,1)),flip(a)]. 1854 T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y) = K(T(x,y),T(x,y) \ 1). [hyper(171,a,728,a,b,1853,a)]. 1856 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(1743(a,1),1854(a,1,1)),flip(a)]. 1858 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1755(a,1,1))]. 1859 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1858(a,1,2,1,1))]. 1860 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(13(a,1),1859(a,2,1,2,1))]. 1861 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1758(a,1),1792(a,1,2)),flip(a)]. 1862 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(665(a,1),1861(a,1,1)),flip(a)]. 1863 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1795(a,1),1797(a,1,2)),flip(a)]. 1864 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(662(a,1),1863(a,1,1)),flip(a)]. 1865 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(171,a,168,a(flip),b,1839,a)]. 1867 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1865(a,1),661(a,1,1)),flip(a)]. 1868 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(171,a,1645,a(flip),b,1867,a(flip)),flip(a)]. 1869 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(262,a,1868,a)]. 1870 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1869(a,1,3))]. 1871 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1869(a,1),1735(a,1,2)),flip(a)]. 1872 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(171,a,130,a(flip),b,1870,a(flip)),flip(a)]. 1873 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(171,a,728,a,b,1871,a)]. 1876 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1873(a,1),14(a,1,2)),flip(a)]. 1879 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(757(a,1),1876(a,1,2)),flip(a)]. 1881 x * K(y,y \ 1) = z * (1 / (1 / (z \ x))). [para(1296(a,1),1879(a,1,2))]. 1883 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(14(a,1),1840(a,2,1))]. 1884 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(171,a,57,a(flip),b,1883,a)]. 1886 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),1847(a,1,2,2,1,2,2)),flip(a)]. 1888 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(171,a,1586,a(flip),b,592,a(flip)),flip(a)]. 1891 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1888(a,1),447(a,1,1))]. 1892 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(519,a,1891,a),flip(a)]. 1894 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1892(a,1),1743(a,1,2))]. 1895 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(607,a,1746,a)]. 1896 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(139,a,1895,a),flip(a)]. 1897 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1896(a,1,2,1,2)),flip(a)]. 1898 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(67,a,1897,a,b,xx)]. 1900 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(1177,a,1289,a)]. 1904 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(171,a,1285,a(flip),b,1900,a(flip)),flip(a)]. 1906 x * (1 / (1 / (x \ (y / z)))) = y / (1 / (1 / z)). [hyper(171,a,1881,a(flip),b,1904,a(flip)),flip(a)]. 1907 1 / (1 / (x \ (y / z))) = x \ (y / (1 / (1 / z))). [hyper(67,a,1904,a(flip),b,1881,a(flip)),flip(a)]. 1909 (x \ (y / (1 / (1 / z)))) \ 1 = 1 / (x \ (y / z)). [para(1907(a,1),63(a,1,1))]. 1910 1 / (x \ (y / (z \ 1))) = (x \ (y / (1 / z))) \ 1. [para(60(a,1),1909(a,1,1,2,2,2)),flip(a)]. 1911 1 / (x \ (y / ((z \ 1) \ 1))) = (x \ (y / z)) \ 1. [para(116(a,1),1909(a,1,1,2,2)),flip(a)]. 1912 ((x \ (y / z)) \ 1) \ 1 = x \ (y / ((z \ 1) \ 1)). [para(1911(a,1),63(a,1,1))]. 1913 x * (((x \ (y / z)) \ 1) \ 1) = y / ((z \ 1) \ 1). [para(1911(a,1),117(a,1,2,1))]. 1915 x / (((y \ x) \ 1) \ 1) = z * (((z \ y) \ 1) \ 1). [para(60(a,1),1913(a,1,2,1,1,2)),flip(a)]. 1916 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(171,a,302,a(flip),b,1562,a)]. 1917 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1916(a,1),1526(a,1,1)),flip(a)]. 1918 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1916(a,1),1625(a,1,2)),flip(a)]. 1919 L(x,y,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. [para(434(a,1),505(a,1))]. 1920 L(x,T(y,y \ z) \ 1,T(y,y \ z)) != u | L(x,1 / T(y,y \ z),(y \ z) \ z) = u. [para(875(a,1),1919(a,1))]. 1921 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(133(a,1),606(a,1,1,1,1)),flip(a)]. 1922 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(612,a,1921,a)]. 1923 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(63(a,1),1922(a,1,2,1,1))]. 1924 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),1106(a,1,2,1)),flip(a)]. 1925 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(102(a,1),1924(a,1,1)),flip(a)]. 1926 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(102(a,1),1925(a,1,2)),flip(a)]. 1927 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),1926(a,1,1)),flip(a)]. 1928 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),1927(a,1,2)),flip(a)]. 1929 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(1281,a,1531,a)]. 1931 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(171,a,1208,a,b,1929,a)]. 1934 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(286(a,1),1528(a,1,1)),flip(a)]. 1935 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1575(a,1,2,1,1)),flip(a)]. 1936 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(541(a,1),1935(a,1,2))]. 1937 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1638,a,1936,a),flip(a)]. 1938 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),1937(a,1,2,1,2)),flip(a)]. 1939 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [para(15(a,1),1938(a,1,1,2,1,2)),flip(a)]. 1940 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(135(a,1),1938(a,1,1,2,1,2)),flip(a)]. 1941 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(138,a,1746,a(flip),b,1641,a(flip)),flip(a)]. 1942 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),1641(a,1,2,1,2)),flip(a)]. 1943 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(893(a,1),1941(a,1,2,1))]. 1944 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(138,a,1795,a(flip),b,1942,a),flip(a)]. 1945 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(73,a,1944,a)]. 1946 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(130(a,1),1944(a,1,2)),flip(a)]. 1947 T(x,y) * L(T(x,y) \ 1,z,u) != w | T(x * L(x \ 1,z,u),y) = w. [para(1945(a,1),179(a,1,2)),flip(b)]. 1948 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(242(a,1),1945(a,1,2,1,2))]. 1949 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(589(a,1),1946(a,2,2,1))]. 1950 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1894(a,1),1949(a,1,1)),flip(a)]. 1951 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(171,a,1856,a,b,1950,a)]. 1954 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). [para(32(a,2),1738(a,2,2,1,1))]. 1955 x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). [para(1758(a,1),1954(a,1,2))]. 1956 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(205,a,1955,a),flip(a)]. 1957 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(171,a,511,a,b,1956,a(flip))]. 1958 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(579(a,1),1957(a,2,1,2))]. 1960 T(x * T(x \ 1,T(x,y)),z) = ((x \ 1) / (x \ T(x,z))) * T(x,z). [para(880(a,2),1958(a,1,1,2))]. 1961 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(1620,a,1960,a),flip(a)]. 1962 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1961(a,1),102(a,1,1))]. 1963 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(171,a,1636,a(flip),b,1962,a(flip))]. 1965 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(656(a,1),1963(a,1,1))]. 1966 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(63(a,1),1965(a,1,2))]. 1967 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(1966(a,1),60(a,1,2))]. 1968 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(686(a,2),1966(a,1,1))]. 1969 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(426(a,1),1757(a,2,2,1))]. 1970 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(136(a,1),1841(a,2,1))]. 1971 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(171,a,57,a(flip),b,1970,a)]. 1973 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1971(a,1),661(a,1,1)),flip(a)]. 1974 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(171,a,1678,a(flip),b,1973,a(flip)),flip(a)]. 1975 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(63(a,1),1974(a,1,1,2,1))]. 1976 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(63(a,1),1975(a,2,2,1))]. 1977 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1976(a,1),1884(a,1,1))]. 1978 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(15(a,1),1977(a,1,1,2))]. 1979 K(1 / x,(y / (x * y)) * x) = 1. [para(15(a,1),1978(a,1,2,2))]. 1980 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(37,a,1979,a)]. 1981 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1689,a,1980,a)]. 1982 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(14(a,1),1981(a,1,3,2))]. 1983 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(1982(a,1),241(a,1,2))]. 1984 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(893(a,1),1860(a,1,2,1))]. 1985 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(533,a,570,a),flip(a)]. 1986 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),1985(a,1,2,1,2,2)),flip(a)]. 1987 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(524(a,1),1985(a,2,1))]. 1988 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(218,a,1986,a),flip(a)]. 1990 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(653,a,1988,a),flip(a)]. 1991 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(171,a,1408,a(flip),b,1988,a(flip)),flip(a)]. 1992 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(336(a,2),1991(a,2,1,2,1)),flip(a)]. 1993 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1734(a,1),1991(a,1,2)),flip(a)]. 1995 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(218,a,1987,a),flip(a)]. 1996 R((1 / (x * y)) * x,z,y \ 1) = T((1 / (x * y)) * x,y). [hyper(171,a,549,a(flip),b,1070,a)]. 1997 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(1996(a,1),534(a,1,2))]. 1999 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(461(a,1),1633(a,1,1)),flip(a)]. 2000 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(100(a,1),1999(a,1,2))]. 2004 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(871(a,1),1025(a,1,2,1))]. 2007 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(728(a,2),1470(a,1,2,1,1))]. 2009 (x * T(x \ y,z)) * (1 / x) = T(y * (1 / x),z). [para(56(a,1),1630(a,1,1)),flip(a)]. 2010 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(100(a,1),2009(a,1,1))]. 2012 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [para(713(a,1),2010(a,1,1)),flip(a)]. 2013 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(1068,a,2012,a)]. 2014 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(2013(a,1),14(a,1,2))]. 2015 L(x,y,z) * K(x,x \ 1) = L((x \ 1) \ 1,y,z). [hyper(171,a,1490,a,b,2014,a(flip)),flip(a)]. 2016 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [para(718(a,2),2015(a,1,2,2))]. 2018 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(2016(a,1),1228(a,2,2))]. 2019 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(688(a,2),1812(a,2,2,1))]. 2020 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(665(a,1),1862(a,1,2,1)),flip(a)]. 2021 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(67,a,54,a(flip),b,2020,a),flip(a)]. 2022 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(662(a,1),1864(a,1,2,1)),flip(a)]. 2023 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(67,a,54,a(flip),b,2022,a),flip(a)]. 2024 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2023(a,1),19(a,1))]. 2025 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1916(a,1),1917(a,1,2)),flip(a)]. 2026 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(171,a,13,a(flip),b,2025,a)]. 2028 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(577(a,1),2026(a,1,1,2)),flip(a)]. 2029 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(1415,a,2028,a),flip(a)]. 2030 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(171,a,157,a(flip),b,1918,a)]. 2031 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1916(a,1),2030(a,1,1)),flip(a)]. 2032 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1500(a,2),2031(a,1,1)),flip(a)]. 2033 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1500(a,2),2032(a,1,1,2)),flip(a)]. 2034 L(K(x,y),y,1 / y) = K(x,y). [hyper(171,a,1593,a(flip),b,2033,a)]. 2035 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(259,a,2034,a)]. 2036 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(67,a,2035,a(flip),b,112,a(flip)),flip(a)]. 2037 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),1995(a,2,2,1,2,1))]. 2038 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(78,a,2037,a)]. 2039 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2038(a,1,1,2,1,2,2)),flip(a)]. 2043 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(871(a,1),2004(a,1,2))]. 2044 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(580(a,1),2007(a,2,2))]. 2047 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = T(y,z). [hyper(993,a,2044,a(flip)),flip(a)]. 2050 T(x * K(y,y \ 1),z) = T(x,z) * K(y,y \ 1). [hyper(464,a,2047,a),flip(a)]. 2053 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(2050(a,2),1447(a,1,2))]. 2054 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(506,a,2043,a)]. 2058 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(1032,a,2054,a)]. 2061 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),2058(a,1,1)),flip(a)]. 2062 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(1256(a,1),1273(a,1,2))]. 2066 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(617,a,1508,a),flip(a)]. 2067 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(461(a,1),2066(a,2,2))]. 2068 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(298,a,2067,a)]. 2069 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(171,a,686,a(flip),b,2068,a),flip(a)]. 2070 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1547(a,1),1521(a,2,1))]. 2071 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1580(a,1),2070(a,2,1,1))]. 2072 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2071(a,2),333(a,1))]. 2073 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(2072,a,686,a),flip(a)]. 2074 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(686(a,1),2072(a,1))]. 2075 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(182,a,2073,a),flip(a)]. 2079 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(171,a,1808,a(flip),b,1695,a(flip)),flip(a)]. 2082 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2079(a,1),524(a,1,1)),flip(a)]. 2083 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(171,a,417,a(flip),b,2082,a)]. 2085 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(504,a,2062,a)]. 2089 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(1227,a,2085,a)]. 2092 L(x,y,1 / (1 / z)) = L(x,y,z). [para(1173(a,1),2089(a,1,3))]. 2093 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(1208(a,2),2089(a,1,3))]. 2094 L(x,y,L(z,u,z)) = L(x,y,z). [para(757(a,2),2092(a,1,3))]. 2095 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(770(a,1),2094(a,1,3))]. 2096 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(1284(a,1),2093(a,1,3)),flip(a)]. 2097 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(1016(a,1),557(a,1,1,2))]. 2100 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(899(a,1),2097(a,1,1)),flip(a)]. 2101 R(T(x,x * y),y * x,a(x,y,x)) = ((y * x) * a(z,u,z)) \ ((x * y) * x). [para(762(a,1),2100(a,1,1,2)),flip(a)]. 2104 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(153(a,2),608(a,1,2,1,1))]. 2107 (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(1103(a,1),1078(a,1,1))]. 2108 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1403(a,1),2107(a,1,2))]. 2109 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(451,a,2108,a),flip(a)]. 2111 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(153(a,2),1679(a,1,2,1,1))]. 2114 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(85(a,1),1969(a,1,1))]. 2115 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(85(a,1),2114(a,1,2,1,1))]. 2116 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(171,a,1895,a(flip),b,2104,a)]. 2119 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(171,a,1754,a(flip),b,2111,a)]. 2122 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(601(a,1),2116(a,2,1))]. 2127 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(602(a,1),2119(a,2,1))]. 2132 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(1233,a,1232,a),flip(a)]. 2137 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(171,a,1213,a(flip),b,2132,a)]. 2141 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(1175,a,2137,a),flip(a)]. 2145 T(x,y * K(z,z \ 1)) = T(x,y). [para(723(a,1),2141(a,1,2,2,1))]. 2146 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(1181(a,1),2141(a,1,2)),flip(a)]. 2147 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(1135(a,1),2145(a,1,2))]. 2148 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(1243(a,1),2145(a,1,2))]. 2149 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(63(a,1),2146(a,2,2,2))]. 2150 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(195(a,1),2148(a,1,2,1)),flip(a)]. 2153 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(171,a,1812,a(flip),b,2019,a(flip))]. 2154 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1968(a,1),2153(a,1,2))]. 2155 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(171,a,1934,a(flip),b,2154,a(flip))]. 2156 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). [hyper(171,a,1951,a(flip),b,2155,a(flip))]. 2159 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(1967(a,1),696(a,1,1,2))]. 2160 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(587(a,1),2159(a,1,1,2)),flip(a)]. 2161 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(591(a,1),2160(a,2,1))]. 2162 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(286(a,1),2161(a,1,1))]. 2163 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(171,a,2156,a(flip),b,2162,a(flip)),flip(a)]. 2164 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [hyper(171,a,1425,a(flip),b,2163,a)]. 2166 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2163(a,1),1250(a,1,2))]. 2167 K(T(x,y),x \ 1) = K(z,z \ 1). [hyper(171,a,1296,a,b,2164,a(flip))]. 2168 (x * y) * K(T(z,u),z \ 1) = ((x \ 1) \ 1) * y. [para(2167(a,2),1248(a,1,2))]. 2169 (x * y) * K(T(z,u),1 / z) = ((x \ 1) \ 1) * y. [para(718(a,2),2168(a,1,2,2))]. 2171 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [hyper(171,a,2169,a(flip),b,2166,a(flip))]. 2172 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(138,a,2169,a(flip),b,2166,a(flip)),flip(a)]. 2173 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(2172(a,1),60(a,1,2))]. 2174 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(63(a,1),2172(a,2,1,1))]. 2175 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(102(a,1),2172(a,1,1,1)),flip(a)]. 2176 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(119(a,1),2173(a,1,2,1)),flip(a)]. 2177 K(x \ 1,x) * (y * T((z \ 1) \ 1,u)) = y * (1 / (T(z,u) \ 1)). [para(2173(a,1),1370(a,2,2,2))]. 2178 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2176(a,1),60(a,1,2))]. 2179 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(1816(a,1),2176(a,1,1)),flip(a)]. 2180 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(1179,a,2178,a)]. 2181 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(102(a,1),2178(a,1,2,2)),flip(a)]. 2182 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2178(a,1),1728(a,1,1,1,2))]. 2183 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(2179(a,1),63(a,1,1)),flip(a)]. 2184 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(63(a,1),2183(a,1,2))]. 2185 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2183(a,1),1509(a,1,2)),flip(a)]. 2187 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(102(a,1),2171(a,1,2,1,1)),flip(a)]. 2188 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2175(a,1),135(a,1,1,2))]. 2189 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(1421(a,2),2175(a,1,1,1,1))]. 2190 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2181(a,1),135(a,1,1,2))]. 2191 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(171,a,1912,a(flip),b,2184,a)]. 2192 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(63(a,1),2191(a,2,2,2,1))]. 2193 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2191(a,1),100(a,1,2))]. 2194 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(1463,a,2187,a)]. 2195 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(2187(a,1),1086(a,1,2))]. 2196 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2183(a,2),2188(a,1,1,2))]. 2197 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2190(a,1,1,2,2,2))]. 2198 (x / (1 / (1 / y))) / z = 1 / (1 / ((x / y) / z)). [para(1906(a,1),2190(a,1,1))]. 2199 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2193(a,1),1650(a,2,1,1))]. 2200 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),2194(a,2,1,1))]. 2201 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2195(a,1,2,2,1,1))]. 2202 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(281,a,2196,a)]. 2204 1 / (1 / ((x / (y \ 1)) / z)) = (x / (1 / y)) / z. [para(60(a,1),2198(a,1,1,2,2)),flip(a)]. 2205 K(x,(y / (1 / (1 / z))) / u) = K(x,(y / z) / u). [para(2198(a,2),1426(a,1,2))]. 2206 1 / ((x / (y \ 1)) / z) = ((x / (1 / y)) / z) \ 1. [para(2204(a,1),63(a,1,1)),flip(a)]. 2207 T(x,y) * K(z \ 1,z) = T(1 / (1 / x),y). [para(1300(a,1),2180(a,1,2))]. 2208 T(x,y) * (K(z \ 1,z) * u) = T(1 / (1 / x),y) * u. [para(2207(a,1),1127(a,1,1)),flip(a)]. 2209 K(x \ 1,x) * (T(1 / (1 / y),z) \ u) = T(y,z) \ u. [para(2207(a,1),1165(a,1,2,1))]. 2210 x * K(y \ 1,y) = z * (((z \ x) \ 1) \ 1). [para(1300(a,1),2185(a,1,2))]. 2211 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2185(a,1),2141(a,1,2))]. 2212 T(x,x \ 1) * (K(y \ 1,y) * z) = x * z. [para(1472(a,1),2208(a,2,1))]. 2213 K(x \ 1,x) * (y * K(z,z \ 1)) = y. [hyper(1245,a,2212,a)]. 2214 (K(x \ 1,x) * y) * K(z,z \ 1) = y. [hyper(1244,a,2212,a)]. 2215 ((x \ 1) \ 1) * (K(y \ 1,y) * z) = x * z. [hyper(171,a,191,a(flip),b,2212,a(flip)),flip(a)]. 2216 ((x \ 1) * y) * K(z,z \ 1) = (1 / x) * y. [hyper(1257,a,2213,a),flip(a)]. 2217 (x * (y \ 1)) * K(z,z \ 1) = x * (1 / y). [hyper(1241,a,2213,a),flip(a)]. 2218 (x * K(y,y \ 1)) * K(z \ 1,z) = x. [hyper(1210,a,2213,a)]. 2219 K(x \ 1,x) * (y * T(z,z \ 1)) = y * z. [para(1196(a,1),2213(a,1,2))]. 2220 K(x \ 1,x) * L(y * K(z,z \ 1),u,w) = L(y,u,w). [para(2213(a,1),1931(a,1,1)),flip(a)]. 2221 (K(x \ 1,x) * y) * ((z \ 1) \ 1) = y * z. [para(2214(a,1),1236(a,1,1)),flip(a)]. 2222 K(x,x \ 1) * ((K(y \ 1,y) * z) * u) = z * u. [para(2214(a,1),1261(a,1,1)),flip(a)]. 2223 (K(x,x \ 1) * y) * K(z \ 1,z) = y. [hyper(1276,a,2218,a(flip))]. 2224 K(x,x \ 1) * (y * K(z \ 1,z)) = y. [hyper(171,a,1261,a(flip),b,2218,a(flip)),flip(a)]. 2225 R((x * K(y,y \ 1)) / z,z,K(u \ 1,u)) = x / (z * K(u \ 1,u)). [para(2218(a,1),97(a,2,1))]. 2226 (x / (1 / (1 / y))) * K(z \ 1,z) = x / y. [para(1904(a,1),2218(a,1,1))]. 2227 K(x,x \ 1) * ((1 / y) \ z) = (y \ 1) \ z. [hyper(18,a,1271,a,b,2223,a)]. 2228 K(x,x \ 1) * (y / (1 / z)) = y / (z \ 1). [hyper(18,a,1172,a,b,2223,a)]. 2229 K(x \ 1,x) \ y = K(z,z \ 1) * y. [hyper(67,a,2223,a(flip),b,1208,a)]. 2230 (x * ((y \ 1) \ 1)) * K(z \ 1,z) = x * y. [para(1247(a,1),2223(a,1,1))]. 2231 (x \ 1) * (K(y,y \ 1) * z) = (1 / x) * z. [para(2223(a,1),1267(a,1,2)),flip(a)]. 2232 (x * y) * K(z \ 1,z) = (1 / (1 / x)) * y. [para(1290(a,1),2223(a,1,1))]. 2233 (x * K(y \ 1,y)) \ z = x \ (K(u,u \ 1) * z). [para(2224(a,1),1222(a,1,1)),flip(a)]. 2234 K(x \ 1,x) * y != z | K(u,u \ 1) * z = y. [para(2224(a,1),1268(a,2))]. 2235 K(x \ 1,x) * L(K(y,y \ 1) * (z * x),u,w) = (x \ L(x * z,u,w)) * x. [para(2229(a,1),2122(a,1,2,1))]. 2236 K(x \ 1,x) * R(K(y,y \ 1) * (z * x),u,w) = (x \ R(x * z,u,w)) * x. [para(2229(a,1),2127(a,1,2,1))]. 2237 K(x \ 1,x) * (y \ z) = ((y \ 1) \ 1) \ z. [hyper(67,a,14,a(flip),b,2215,a),flip(a)]. 2238 K(x,x \ 1) \ ((1 / y) * z) = (y \ 1) * z. [hyper(67,a,2216,a(flip),b,1211,a)]. 2240 ((x \ 1) * y) * ((z \ 1) \ 1) = ((1 / x) * y) * z. [para(2216(a,1),1236(a,1,1)),flip(a)]. 2241 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(2216(a,1),2053(a,1,2,1))]. 2244 (T(x,y) \ T(x,z)) * K(u,u \ 1) = T(x,z) * (1 / T(x,y)). [para(639(a,1),2217(a,1,1))]. 2245 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(u,u \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(u,u \ 1)). [para(2217(a,1),326(a,1,1))]. 2246 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2217(a,1),2147(a,1,2,2))]. 2247 (x \ 1) * ((y \ 1) \ 1) = (1 / x) * y. [para(870(a,1),2221(a,1,1))]. 2248 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [hyper(67,a,2035,a(flip),b,2247,a),flip(a)]. 2249 (x / (1 / (1 / y))) / (1 / z) = (x / y) / (z \ 1). [hyper(68,a,2226,a(flip),b,1182,a),flip(a)]. 2250 K(x,x \ 1) * (y / T(1 / (1 / z),u)) = y / ((1 / T(z,u)) \ 1). [para(2178(a,1),2228(a,1,2,2))]. 2251 (x \ 1) * ((y \ ((z \ 1) \ 1)) * u) = (1 / x) * ((y \ z) * u). [para(1277(a,1),2231(a,1,2))]. 2252 x * (y * K(z \ 1,z)) = (1 / (1 / x)) * y. [hyper(1180,a,2232,a),flip(a)]. 2253 ((1 / (1 / x)) * y) * (1 / z) = (x * y) * (z \ 1). [para(2232(a,1),1167(a,1,1))]. 2254 ((x \ (y / (z \ 1))) * u) * K(w \ 1,w) = (1 / ((x \ (y / (1 / z))) \ 1)) * u. [para(1910(a,1),2232(a,2,1,2))]. 2255 (x \ y) * K(z \ 1,z) = ((x \ 1) \ 1) \ y. [hyper(1210,a,2237,a)]. 2256 (((x \ 1) \ 1) \ y) * ((z \ 1) \ 1) = (x \ y) * z. [para(2237(a,1),2221(a,1,1))]. 2257 (1 / (1 / x)) * (y / (1 / (1 / z))) = x * (y / z). [para(2226(a,1),2252(a,1,2)),flip(a)]. 2258 (x \ y) * K(z,z \ 1) = ((x \ 1) \ 1) \ y. [para(723(a,1),2255(a,1,2,1))]. 2259 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2255(a,1),2141(a,1,2))]. 2260 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(1034(a,2),2259(a,1,2,1))]. 2261 K(x,x \ 1) * (y * (K(z \ 1,z) * u)) = y * u. [hyper(2234,a,1270,a)]. 2262 (K(x \ 1,x) * y) \ 1 = y \ K(z,z \ 1). [hyper(382,a,2222,a),flip(a)]. 2263 K(x,x \ 1) * ((y \ (1 / (1 / z))) * u) = (y \ z) * u. [para(1229(a,1),2222(a,1,2,1))]. 2264 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(w,w \ 1) * u). [para(1129(a,1),2233(a,1,1))]. 2265 (x \ y) \ (K(z,z \ 1) * u) = (((x \ 1) \ 1) \ y) \ u. [para(2255(a,1),2233(a,1,1)),flip(a)]. 2266 ((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z. [hyper(67,a,14,a(flip),b,2240,a),flip(a)]. 2267 (x * K(y \ (1 / (1 / x)),y)) * (z \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / z). [para(188(a,1),2253(a,1,1)),flip(a)]. 2268 ((L(x,y,y \ 1) \ z) \ 1) \ 1 = ((y \ 1) * (y * x)) \ z. [para(730(a,1),2266(a,1,1,1,1))]. 2269 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(2266(a,1),1424(a,1,2)),flip(a)]. 2270 ((x \ 1) \ 1) * (T(y,z) \ u) = x * (T(1 / (1 / y),z) \ u). [para(2209(a,1),2215(a,1,2))]. 2271 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(171,a,1291,a(flip),b,2263,a(flip)),flip(a)]. 2272 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(2265(a,1),1392(a,1,1))]. 2273 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(135(a,1),2182(a,1,1))]. 2275 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,1243,a,b,2244,a)]. 2276 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(171,a,266,a(flip),b,2275,a(flip)),flip(a)]. 2277 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(171,a,1087,a(flip),b,2251,a(flip)),flip(a)]. 2278 L((x \ ((y \ 1) \ 1)) * z,u \ 1,u) = u * ((1 / u) * ((x \ y) * z)). [para(2251(a,1),154(a,1,2)),flip(a)]. 2279 (x * y) \ (K(z,z \ 1) * (x * (K(u \ 1,u) * (y * w)))) = L(w,y * K(u \ 1,u),x). [hyper(1274,a,2264,a),flip(a)]. 2280 K(x \ 1,x) * (y * T((z \ 1) \ 1,u)) = y * T(z,u). [para(60(a,1),2177(a,2,2))]. 2282 K(x \ 1,x) * (y / T(1 / (1 / z),u)) = y / ((1 / T(z,u)) \ 1). [para(723(a,1),2250(a,1,1,2))]. 2283 K(x \ 1,x) * (y / T(1 / (1 / z),u)) = y / T(z,u). [para(63(a,1),2282(a,2,2))]. 2285 ((x \ 1) \ 1) * (y / T(z,u)) = x * (y / T(1 / (1 / z),u)). [para(2283(a,1),2215(a,1,2))]. 2286 (x * K(y,y \ 1)) / z = x / (z * K(u \ 1,u)). [hyper(1175,a,2225,a),flip(a)]. 2289 (x * K(y,y \ 1)) / (z * ((u \ 1) \ 1)) = x / (z * u). [para(2230(a,1),2286(a,2,2))]. 2290 (1 / (1 / x)) / (y * z) = x / (y * ((z \ 1) \ 1)). [para(1288(a,1),2289(a,1,1)),flip(a)]. 2291 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(1239(a,1),2235(a,1,2,1))]. 2293 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(1238(a,1),2291(a,1,2,1))]. 2295 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(1239(a,1),2236(a,1,2,1))]. 2297 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(171,a,1832,a,b,2295,a(flip)),flip(a)]. 2300 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2219(a,1),2297(a,1,1)),flip(a)]. 2301 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(78,a,2300,a)]. 2302 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),2300(a,1,1,2,1)),flip(a)]. 2303 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),2301(a,1,1,1)),flip(a)]. 2304 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(335(a,1),2302(a,2,1,2))]. 2305 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(735(a,1),2302(a,2,1,2))]. 2306 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(2302(a,2),1088(a,1,1))]. 2307 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(2303(a,1),14(a,1,2)),flip(a)]. 2308 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(68,a,2304,a(flip),b,161,a)]. 2309 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(68,a,2305,a(flip),b,731,a),flip(a)]. 2310 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(171,a,1039,a(flip),b,2308,a)]. 2311 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(171,a,1542,a(flip),b,2309,a(flip)),flip(a)]. 2312 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(847(a,1),2311(a,1,2))]. 2313 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(171,a,1541,a,b,2312,a(flip)),flip(a)]. 2314 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(1089,a,2313,a)]. 2315 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(178,a,2306,a),flip(a)]. 2316 ((x \ (y / (z \ 1))) * u) * K(w \ 1,w) = (x \ (y / (1 / z))) * u. [hyper(171,a,112,a(flip),b,2254,a)]. 2318 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(2316(a,1),1539(a,1,1))]. 2319 R((x \ (1 / (1 / y))) * x,1 / z,(1 / z) \ 1) / ((1 / z) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (z \ 1). [hyper(171,a,272,a,b,2267,a),flip(a)]. 2320 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(171,a,2220,a(flip),b,2293,a(flip))]. 2324 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(15(a,1),2320(a,1,1,2,1,2))]. 2325 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(59(a,1),2320(a,1,1,2,1)),flip(a)]. 2326 a(x,y,x) \ L(a(x,y,x) * z,u,w) = L(z,u,w). [hyper(18,a,1657,a(flip),b,2324,a)]. 2327 L((x \ 1) * x,y,z) = (x \ 1) * x. [para(228(a,1),2325(a,2,1,2))]. 2328 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(2325(a,1),89(a,1,2))]. 2329 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(310(a,1),2325(a,2,1,2))]. 2330 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(311(a,1),2325(a,2,1,2))]. 2331 (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. [para(2325(a,1),185(a,1,2))]. 2333 L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w). [para(2326(a,1),14(a,1,2)),flip(a)]. 2336 R(x,y,x) * L(z,u,w) = x * L(a(v5,v6,v5) * z,u,w). [para(2333(a,2),1141(a,2,2))]. 2337 R(x,y,x) * L(z \ u,w,v5) = x * L(z \ (a(v6,v7,v6) * u),w,v5). [para(1054(a,2),2336(a,2,2,1))]. 2338 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(169(a,1),2328(a,1,2,1,2))]. 2339 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(67,a,2329,a(flip),b,154,a),flip(a)]. 2341 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(171,a,2314,a(flip),b,2339,a(flip)),flip(a)]. 2342 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(2341(a,1),16(a,1,1))]. 2343 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(2341(a,1),177(a,1,1)),flip(b)]. 2345 R(x,y,x) * L(R(z,u,z) \ w,v5,v6) = x * L(z \ w,v5,v6). [para(1158(a,1),2337(a,2,2,1))]. 2346 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(577(a,1),2318(a,2,1,2))]. 2347 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(171,a,2305,a(flip),b,2346,a(flip)),flip(a)]. 2348 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),2347(a,1,1)),flip(a)]. 2349 x * (y \ T(y,x)) = (y * x) / y. [hyper(78,a,2348,a),flip(a)]. 2350 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(68,a,14,a(flip),b,2348,a),flip(a)]. 2351 x \ ((y * x) / y) = y \ T(y,x). [hyper(73,a,2349,a)]. 2352 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(67,a,135,a(flip),b,2349,a)]. 2353 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,1628,a,b,2349,a),flip(a)]. 2354 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,885,a,b,2349,a),flip(a)]. 2355 (x \ T(x,y)) * y = (x * y) / x. [hyper(171,a,1597,a,b,2349,a(flip)),flip(a)]. 2356 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(2349(a,1),2029(a,1,1))]. 2357 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(2351(a,1),466(a,1,1))]. 2358 T(x,y) \ x = y \ T(y,x). [para(899(a,1),2352(a,2,2))]. 2359 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(171,a,861,a(flip),b,2358,a)]. 2360 T(x,T(y,x)) \ x = y \ T(y,x). [para(899(a,2),2358(a,1,1))]. 2362 (x * y) / x = y * (T(y,x) \ y). [para(2358(a,2),2349(a,1,2)),flip(a)]. 2363 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(2354(a,1),320(a,1,1,1))]. 2364 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(2354(a,1),391(a,1,1,1))]. 2365 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(2360(a,1),722(a,1,1))]. 2366 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(1476,a,2362,a)]. 2367 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(67,a,271,a(flip),b,2362,a(flip)),flip(a)]. 2368 T(x * (T(x,y) \ x),y) = x. [para(2362(a,1),134(a,1,1))]. 2369 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(861(a,1),2365(a,1,1))]. 2370 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(101(a,1),2350(a,1,2,2))]. 2371 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(2356(a,1),308(a,1,1))]. 2372 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(171,a,686,a,b,2359,a),flip(a)]. 2373 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(2359(a,2),1537(a,2,2)),flip(a)]. 2374 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(2359(a,2),1614(a,1,1))]. 2375 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(13(a,1),2366(a,2,2,1,2))]. 2376 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(73,a,2370,a)]. 2378 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(2372(a,2),722(a,1,1))]. 2379 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(60(a,1),2378(a,1,1,1,2)),flip(a)]. 2380 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1742,a,2353,a)]. 2381 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(2353(a,1),1742(a,1))]. 2382 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(2353(a,1),1851(a,1,1))]. 2383 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(2353(a,1),1993(a,2,2,1))]. 2384 x * K(x,(x / y) / x) = T(x,y \ 1). [para(2380(a,2),14(a,1,2))]. 2385 K(x,(x / (y \ 1)) / x) = x \ T(x,y). [para(723(a,1),2380(a,2,2,2))]. 2386 T(x,x / (x * y)) = T(x,y \ 1). [hyper(171,a,1744,a(flip),b,2384,a(flip)),flip(a)]. 2387 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [hyper(270,a,2386,a(flip),b,1990,a)]. 2388 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(171,a,1990,a,b,2386,a(flip)),flip(a)]. 2389 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(68,a,2386,a(flip),b,1990,a)]. 2390 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(171,a,1044,a(flip),b,2388,a(flip)),flip(a)]. 2391 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(67,a,2388,a(flip),b,1044,a(flip))]. 2392 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(60(a,1),2389(a,2,2,1))]. 2393 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(63(a,1),2389(a,1,1,2))]. 2394 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(2389(a,2),130(a,2,1))]. 2396 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [para(13(a,1),2390(a,1,2,2,1))]. 2397 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(63(a,1),2391(a,2,2,1))]. 2398 x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). [hyper(270,a,2375,a(flip),b,1624,a(flip)),flip(a)]. 2399 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(2375(a,2),19(a,1))]. 2400 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(67,a,2393,a,b,xx)]. 2401 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(171,a,584,a(flip),b,2397,a(flip)),flip(a)]. 2403 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(909(a,2),2400(a,1,2,1))]. 2406 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(171,a,2380,a(flip),b,2382,a),flip(a)]. 2407 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(17,a,583,a,b,2396,a),flip(a)]. 2408 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(866(a,1),2406(a,1,2,2,1)),flip(a)]. 2409 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(171,a,2256,a(flip),b,2407,a(flip))]. 2410 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(128(a,2),2409(a,1,2))]. 2411 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(68,a,2410,a(flip),b,514,a),flip(a)]. 2412 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(171,a,2356,a(flip),b,2411,a(flip)),flip(a)]. 2413 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(171,a,1846,a(flip),b,2412,a(flip)),flip(a)]. 2414 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),2413(a,1,1,1)),flip(a)]. 2415 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),2414(a,1,1,1)),flip(a)]. 2417 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(2261(a,1),2279(a,1,2)),flip(a)]. 2418 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(171,a,28,a,b,2417,a)]. 2420 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(1181(a,1),2418(a,1,2)),flip(a)]. 2421 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(1208(a,2),2418(a,1,2))]. 2422 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1283(a,1),2421(a,1,2)),flip(a)]. 2423 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(723(a,1),2189(a,1,1))]. 2424 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(482,a,2423,a)]. 2425 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(96(a,1),2424(a,1,1,2))]. 2426 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),2425(a,1,1)),flip(a)]. 2427 T(a(x,y,z),x) = a(x,y,z). [hyper(745,a,2426,a),flip(a)]. 2428 a(x,y,z) * x = x * a(x,y,z). [para(2427(a,1),100(a,1,2)),flip(a)]. 2430 R(R(x,y,z \ 1),y * (z \ 1),K(u,u \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2217(a,1),2245(a,1,2)),flip(a)]. 2431 R(R(x,y,z \ 1),y * (z \ 1),K(u,u \ 1)) = R(x,y,1 / z). [hyper(171,a,30,a,b,2430,a)]. 2432 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(u,u \ 1)) = R(x,y,1 / (z \ 1)). [para(101(a,2),2431(a,1,2,2))]. 2433 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(u \ 1,u)) = R(x,y,1 / (z \ 1)). [para(723(a,1),2432(a,1,3,2))]. 2434 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(u \ 1,u)) = R(x,y,z). [para(60(a,1),2433(a,2,3))]. 2435 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(1175,a,2434,a),flip(a)]. 2437 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(2435(a,1),96(a,1,1))]. 2438 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(2437(a,1),20(a,1))]. 2439 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),1065(a,1,1,1))]. 2441 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(2439(a,1),20(a,1)),flip(a)]. 2442 (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(171,a,303,a(flip),b,1762,a)]. 2443 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(148(a,1),2442(a,2,2))]. 2444 L(((x * (1 / x)) \ 1) * y,x * (1 / x),x) = T(x,x \ 1) \ (x * y). [para(1214(a,1),1198(a,1,2,2)),flip(a)]. 2445 L(((x * (1 / x)) \ 1) * y,x * (1 / x),x) = (x * (1 / x)) \ y. [hyper(171,a,1263,a(flip),b,2444,a)]. 2446 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(825(a,1),1828(a,2,1))]. 2449 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(1266(a,1),2446(a,1,2,1)),flip(a)]. 2450 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(718(a,1),2449(a,2,2,1,1,1))]. 2451 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(171,a,188,a(flip),b,2450,a),flip(a)]. 2452 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(89(a,1),1468(a,1,2,1,1))]. 2453 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1464,a,2452,a),flip(a)]. 2454 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(535(a,1),2453(a,2,2))]. 2455 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(298,a,2454,a),flip(a)]. 2456 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(171,a,664,a(flip),b,2455,a(flip))]. 2457 L(x,y,z) * R(L(x,y,z) \ 1,u,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(1116(a,1),2455(a,2,1))]. 2458 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(171,a,672,a(flip),b,2457,a(flip))]. 2461 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(1224(a,1),2458(a,1,1)),flip(a)]. 2462 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(68,a,2461,a(flip),b,672,a)]. 2467 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1809(a,1),2456(a,1,1,2)),flip(a)]. 2468 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(171,a,1991,a(flip),b,1992,a)]. 2469 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(2307(a,2),2468(a,1,1))]. 2470 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(2469(a,1),178(a,1))]. 2471 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(2470,a,2383,a)]. 2472 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(2470,a,1044,a),flip(a)]. 2473 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(2388(a,1),2471(a,1,1)),flip(a)]. 2474 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(723(a,1),2473(a,1,2,1,2,2)),flip(a)]. 2475 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(723(a,1),2474(a,1,1,2)),flip(a)]. 2476 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),2475(a,1,2,2)),flip(a)]. 2477 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),2476(a,1,2)),flip(a)]. 2478 L(x,y \ T(y,z),y) = x. [hyper(467,a,2477,a)]. 2480 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(382,a,2477,a),flip(a)]. 2481 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,622,a,b,2477,a)]. 2482 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,620,a(flip),b,2477,a)]. 2484 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(2358(a,2),2477(a,1,2,1))]. 2485 T(x,y) * y = x * ((x * y) / x). [para(2355(a,1),2477(a,1,2)),flip(a)]. 2487 L(x,y \ T(y,z),y) = u / (x \ u). [hyper(171,a,60,a,b,2478,a)]. 2488 L(x,T(y,T(z,y)) \ y,z) = x. [para(2360(a,2),2478(a,1,2))]. 2489 L(x,T(y,z) \ y,(y * z) / y) = x. [para(134(a,1),2488(a,1,2,1,2))]. 2490 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(746,a,2480,a)]. 2491 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(102(a,1),2480(a,1,1,2)),flip(a)]. 2492 T(x,y) * (x \ y) = (x * y) / x. [hyper(634,a,2485,a)]. 2493 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),2485(a,2,2,1))]. 2494 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2490(a,1),117(a,1,2,1))]. 2495 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(1686(a,1),2490(a,1,2)),flip(a)]. 2496 T(x / y,T(y,x)) = y \ x. [hyper(138,a,1558,a,b,2492,a)]. 2497 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(85(a,1),2492(a,1,2))]. 2498 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(2492(a,1),1606(a,1,1,1))]. 2499 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(134(a,1),2496(a,1,2))]. 2500 L(x,y \ T(y,z),y) != u | u = x. [para(2487(a,2),211(a,1))]. 2501 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(2358(a,2),2481(a,1,1)),flip(a)]. 2502 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(78,a,2482,a)]. 2503 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(73,a,2482,a)]. 2504 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(67,a,14,a(flip),b,2482,a)]. 2505 L(x,y,y \ T(y,z)) = x. [hyper(822,a,2482,a(flip))]. 2506 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(2482(a,1),203(a,1,2)),flip(b)]. 2508 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,655,a,b,2484,a)]. 2509 (T(x,y) \ x) * (x * y) = y * x. [hyper(17,a,903,a(flip),b,2484,a)]. 2510 K(x,y) = T(T(y,x) \ y,y * x). [hyper(138,a,2509,a,b,84,a),flip(a)]. 2511 (x * y) / (y * x) = T(y,x) \ y. [hyper(78,a,2509,a)]. 2512 T(x,y / x) \ x = y / (x * (y / x)). [hyper(68,a,16,a(flip),b,2509,a),flip(a)]. 2514 K(x,y) = T(x \ T(x,y),y * x). [para(2358(a,1),2510(a,2,1))]. 2515 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),2511(a,1,2)),flip(a)]. 2516 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(2511(a,2),2494(a,1,2,1)),flip(a)]. 2517 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(171,a,2406,a,b,2514,a),flip(a)]. 2518 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(171,a,2481,a,b,2493,a(flip)),flip(a)]. 2519 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(2493(a,1),28(a,2,1)),flip(a)]. 2520 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(823,a,2502,a)]. 2521 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(171,a,1649,a(flip),b,2520,a(flip)),flip(a)]. 2522 x * (T(x,R(y,y \ 1,x)) \ z) = (y \ ((x * y) / x)) \ z. [para(1686(a,1),2504(a,1,1)),flip(a)]. 2523 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(171,a,2367,a(flip),b,2512,a(flip))]. 2524 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(2354(a,1),2498(a,1,1))]. 2525 K(T(x,y),y) = K(x,(x * y) / x). [hyper(171,a,2357,a(flip),b,2524,a(flip))]. 2526 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(135(a,1),2525(a,2,2))]. 2527 K(T(x,y),T(y,x)) = K(x,y). [para(899(a,1),2526(a,1,1))]. 2528 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [hyper(171,a,2398,a,b,2499,a(flip)),flip(a)]. 2529 (x * (y / x)) / y = (x \ y) \ (y / x). [para(102(a,1),2515(a,1,1)),flip(a)]. 2530 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(171,a,2376,a(flip),b,2529,a)]. 2531 ((x * y) / x) \ x = y \ ((y * x) / y). [para(2362(a,2),2528(a,1,2)),flip(a)]. 2532 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(2362(a,1),2531(a,1,1))]. 2533 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [para(2532(a,1),60(a,1,2))]. 2534 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(2533(a,1),1502(a,2,2,1,2))]. 2535 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(102(a,1),2491(a,1,1)),flip(a)]. 2536 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2535(a,1,1,2)),flip(a)]. 2537 L(x,y,K(y,z \ 1)) = x. [para(2517(a,1),2505(a,1,3))]. 2538 L(x,y,K(y,z)) = x. [para(63(a,1),2537(a,1,3,2))]. 2539 L(x,y,K(y,z)) = 1 * x. [hyper(171,a,11,a,b,2538,a)]. 2540 (K(x,y) * x) * z = K(x,y) * (x * z). [para(2538(a,1),89(a,1,2))]. 2541 L(x,y,K(y,z)) != u | u = x. [para(2539(a,2),69(a,1))]. 2542 R(K(x,y),x,z) = K(x,y). [hyper(2438,a,2540,a)]. 2543 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(697,a,2521,a),flip(a)]. 2545 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),2536(a,1,1)),flip(a)]. 2546 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2545(a,1),60(a,1,2))]. 2547 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(171,a,2495,a,b,2546,a(flip)),flip(a)]. 2548 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(2543(a,1),2365(a,1,1)),flip(a)]. 2549 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(171,a,2369,a(flip),b,2548,a)]. 2550 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(939,a,2549,a),flip(a)]. 2551 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(939,a,2550,a),flip(a)]. 2553 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(934,a,2551,a)]. 2554 T(x,y / (z * y)) = T(x,z \ 1). [para(13(a,1),2551(a,1,2,1))]. 2555 T(x,(y / z) \ 1) = T(x,z / y). [para(63(a,1),2551(a,1,2,1)),flip(a)]. 2556 T(x,y \ 1) = T(x,y \ x). [hyper(877,a,2553,a),flip(a)]. 2557 T(x,(x / y) \ 1) = T(x,x \ y). [para(63(a,1),2553(a,1,2,2)),flip(a)]. 2558 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(2553(a,1),136(a,1,2))]. 2559 a(x,y,x) = T(z,u \ z) \ T(z,u \ 1). [para(2553(a,1),1139(a,2,2))]. 2560 T(x,x * (y \ 1)) = T(x,y \ x). [hyper(878,a,2556,a)]. 2561 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(921,a,2554,a),flip(a)]. 2562 x / T(y * x,y \ 1) = (y * x) \ x. [para(2554(a,1),920(a,1,2))]. 2563 T(x / y,y / x) = ((x / y) \ 1) \ 1. [hyper(265,a,2555,a),flip(a)]. 2564 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(171,a,1084,a(flip),b,2555,a)]. 2565 (x / y) \ T(x,x \ y) = x * (y / x). [para(2557(a,1),2397(a,1,2))]. 2566 R(T(x,y \ x),(y \ 1) * x,a(x,y \ 1,x)) = (((y \ 1) * x) * a(z,u,z)) \ ((x * (y \ 1)) * x). [para(2560(a,1),2101(a,1,1))]. 2567 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(63(a,1),2558(a,1,2,2))]. 2568 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(63(a,1),2561(a,1,2))]. 2569 T(x / y,y / x) = T(x / y,x \ y). [hyper(171,a,2202,a,b,2563,a)]. 2570 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),2565(a,2,2))]. 2571 T(T(x / y,x \ y),y) = T(y \ x,y / x). [para(2569(a,1),149(a,1,1))]. 2572 a(x,y,x) = T(z,(u / w) \ z) \ T(z,w / u). [para(2555(a,1),2559(a,2,2))]. 2573 (((1 / x) * (x * y)) \ (x * y)) \ (x * y) = (1 / x) * (y * x). [hyper(171,a,550,a(flip),b,2568,a(flip))]. 2574 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),2570(a,1,2,2))]. 2575 (x / (y * x)) \ T(x,y) = x * y. [para(899(a,1),2574(a,1,2))]. 2576 T(x,y) / (x * y) = x / (y * x). [para(2575(a,1),60(a,1,2))]. 2577 T(x,x \ y) / y = x / ((x \ y) * x). [para(14(a,1),2576(a,1,2))]. 2578 T(x \ y,x / y) = T(x \ y,y \ x). [hyper(445,a,2571,a),flip(a)]. 2579 T(x \ (y \ x),(y \ x) \ x) = T(x \ (y \ x),y). [para(60(a,1),2578(a,1,2)),flip(a)]. 2580 T(x,(y / z) \ x) \ T(x,z / y) != u | a(w,v5,w) = u. [para(2572(a,1),833(a,1))]. 2581 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(171,a,2183,a(flip),b,2579,a(flip))]. 2582 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2581(a,2),955(a,1,2))]. 2583 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2547(a,1),2522(a,1,2)),flip(a)]. 2584 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(135(a,1),2583(a,1,1,2)),flip(a)]. 2585 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(135(a,1),2584(a,1,2,1)),flip(a)]. 2586 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(2585(a,1),14(a,1,2))]. 2587 (T(x,y) \ x) * ((x * y) / x) = y. [para(2349(a,1),2586(a,1,2))]. 2588 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(2441,a,2587,a)]. 2589 ((x * y) / x) \ y = T(x,y) \ x. [hyper(946,a,2587,a)]. 2590 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(2589(a,1),1529(a,1,2,2,1))]. 2591 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(726(a,1),2497(a,1,1)),flip(a)]. 2593 (L(x,y,1 / y) \ (y * x)) \ (y * x) = (1 / y) * (x * y). [para(157(a,1),2573(a,1,1,1))]. 2594 T(L(x,y,1 / y),(y * x) / L(x,y,1 / y)) = (1 / y) * (x * y). [hyper(935,a,2593,a)]. 2595 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(171,a,1706,a(flip),b,2588,a(flip)),flip(a)]. 2596 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(718(a,1),2595(a,2,1,2,1))]. 2597 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(171,a,2415,a(flip),b,2596,a(flip))]. 2598 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(2597(a,1),2494(a,1,2,1))]. 2599 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(171,a,2516,a,b,2598,a(flip))]. 2600 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1844(a,1),2599(a,1,2))]. 2601 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(939,a,2600,a)]. 2602 T(x,(1 / x) * y) = T(x,x \ y). [hyper(171,a,2150,a,b,2601,a(flip)),flip(a)]. 2603 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(2601(a,1),2451(a,2,1,2))]. 2604 x / T(y,(1 / y) * x) = y \ x. [para(2602(a,2),160(a,1,2))]. 2605 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(60(a,1),2604(a,1,2,2,1))]. 2606 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(2605(a,1),63(a,1,1)),flip(a)]. 2607 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(171,a,2518,a(flip),b,2603,a)]. 2608 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(171,a,1577,a(flip),b,2534,a(flip))]. 2609 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(100(a,1),2608(a,2,1,2))]. 2610 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(2528(a,1),2609(a,1,2,1))]. 2611 K(((x * y) / x) \ x,y) = K(y \ x,y). [hyper(17,a,2591,a(flip),b,2610,a)]. 2612 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(2531(a,1),2611(a,1,1))]. 2613 K(x \ T(y,x),x) = K(x \ y,x). [para(135(a,1),2612(a,1,1,2)),flip(a)]. 2614 K(x \ T(x * y,x),x) = K(y,x). [hyper(171,a,441,a(flip),b,2613,a)]. 2615 K(x \ (y * x),x) = K(y,x). [para(705(a,1),2614(a,1,1,2))]. 2616 K(T(x,y),y) = K(x,y). [para(708(a,1),2614(a,1,1))]. 2617 K((x \ y) \ y,y) = K(x,y). [hyper(171,a,808,a,b,2616,a(flip)),flip(a)]. 2618 K(x,T(y,x)) = K(x,y). [hyper(171,a,2526,a(flip),b,2616,a(flip))]. 2619 K(x * y,y) = K(y * x,y). [hyper(171,a,860,a(flip),b,2616,a(flip)),flip(a)]. 2620 K(x / y,y) = K(y \ x,y). [para(102(a,1),2616(a,1,1)),flip(a)]. 2621 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(429(a,1),2616(a,1,1))]. 2622 K(x / y,x) = K(y \ x,x). [para(798(a,1),2616(a,1,1)),flip(a)]. 2623 K(x / (x / y),y \ x) = K(y,y \ x). [para(1472(a,1),2616(a,1,1)),flip(a)]. 2624 K(x,(y \ x) \ x) = K(x,y). [hyper(1820,a,2618,a)]. 2625 K(x,y * x) = K(x,x * y). [hyper(171,a,1436,a(flip),b,2618,a(flip)),flip(a)]. 2626 K(x,x / y) = K(x,y \ x). [hyper(171,a,1435,a(flip),b,2618,a(flip))]. 2627 K(x,x \ (y * x)) = K(x,y). [para(32(a,1),2618(a,1,2))]. 2628 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(38(a,1),2618(a,1,2))]. 2629 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),2618(a,1,2))]. 2630 K(x,y / x) = K(x,x \ y). [para(102(a,1),2618(a,1,2)),flip(a)]. 2631 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(151(a,1),2618(a,1,2)),flip(a)]. 2632 x * K(x / y,y) = (y \ x) * y. [para(2620(a,2),188(a,1,2))]. 2633 L(x,y / z,K(z \ y,z)) = x. [para(2620(a,1),2538(a,1,3))]. 2634 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(82(a,1),2625(a,2,2))]. 2635 x * K(y,y \ x) = y * (x / y). [para(2630(a,1),189(a,1,2))]. 2636 L(K(x / y,y) \ z,K(x / y,y),x) = ((y \ x) * y) \ (x * z). [para(2632(a,1),91(a,2,1))]. 2637 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(2635(a,1),91(a,2,1))]. 2638 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(2589(a,1),2590(a,2,2))]. 2639 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(67,a,2489,a(flip),b,2638,a),flip(a)]. 2640 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(2639(a,1),14(a,1,2))]. 2641 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(171,a,2364,a,b,2640,a(flip)),flip(a)]. 2642 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(1044(a,1),2472(a,2,1))]. 2643 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(63(a,1),2642(a,1,1,2)),flip(a)]. 2644 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(63(a,1),2643(a,2,2,2,1,1,2))]. 2645 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(63(a,1),2644(a,1,2))]. 2646 (((x \ 1) * y) * a(z,u,z)) \ ((y * (x \ 1)) * y) = T(y,x \ y). [hyper(1203,a,2566,a)]. 2649 ((x \ 1) * R(y,z,y)) \ ((y * (x \ 1)) * y) = T(y,x \ y). [para(1118(a,1),2646(a,1,1))]. 2650 R((x \ (1 / (1 / y))) * x,1 / z,z) / ((1 / z) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (z \ 1). [para(63(a,1),2319(a,1,1,3))]. 2651 R((x \ (1 / (1 / y))) * x,z \ 1,z) / ((1 / z) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (z \ 1). [para(718(a,1),2650(a,1,1,2))]. 2652 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(2305(a,1),2651(a,1,1)),flip(a)]. 2653 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),2652(a,2,1,1,2))]. 2654 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(63(a,1),2653(a,2,2))]. 2655 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(2271(a,1),2654(a,1,1))]. 2656 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(171,a,2277,a(flip),b,2655,a(flip)),flip(a)]. 2657 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(2655(a,1),19(a,1))]. 2662 ((x * y) * (a(z,u,z) \ w)) / ((y * (a(z,u,z) \ 1)) * w) = R(R(x,y,a(z,u,z) \ 1),y * (a(z,u,z) \ 1),w). [para(1009(a,1),1420(a,1,1))]. 2667 R(R(x,y,a(z,u,z) \ 1),y * (a(z,u,z) \ 1),w) = ((x * y) * (a(z,u,z) \ w)) / ((y / a(z,u,z)) * w). [para(790(a,1),2662(a,1,2,1)),flip(a)]. 2672 R(R(x,y,a(z,u,z) \ 1),y * (a(z,u,z) \ 1),w) = ((x * y) * (a(z,u,z) \ w)) / (y * (a(z,u,z) \ w)). [para(1009(a,1),2667(a,2,2))]. 2673 R(R(x,y,a(z,u,z) \ 1),y * (a(z,u,z) \ 1),w) = R(x,y,a(z,u,z) \ w). [hyper(171,a,30,a,b,2672,a)]. 2681 R(x,y * (a(z,u,z) \ 1),w) = R(x,y,a(z,u,z) \ w). [para(771(a,1),2673(a,1,1))]. 2683 R(x,y / a(z,u,z),w) = R(x,y,a(z,u,z) \ w). [para(790(a,1),2681(a,1,2))]. 2684 R(x,y * a(z,u,z),a(z,u,z) \ w) = R(x,y,w). [para(15(a,1),2683(a,1,2)),flip(a)]. 2686 R(x,y * a(z,u,z),w) = R(x,y,w). [para(763(a,1),2684(a,1,3))]. 2688 R(x,a(y,z,y) \ u,w) = R(x,u,w). [para(773(a,1),2686(a,1,2)),flip(a)]. 2689 R(x,((y \ 1) * y) \ z,u) = R(x,z,u). [para(1120(a,1),2688(a,1,2,1))]. 2690 R(x,1 / y,z) = R(x,y \ 1,z). [para(841(a,1),2689(a,1,2))]. 2691 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(60(a,1),2690(a,1,2)),flip(a)]. 2692 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(2691(a,1),96(a,1,1))]. 2693 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(2692(a,1),20(a,1))]. 2694 (((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),1683(a,1,1,1,2,2)),flip(a)]. 2695 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(171,a,524,a(flip),b,2694,a)]. 2696 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(171,a,1987,a(flip),b,2695,a)]. 2697 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(524(a,1),2696(a,1,1))]. 2698 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1734(a,1),2697(a,2,1))]. 2699 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,96,a,b,2698,a)]. 2700 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1742,a,2699,a),flip(a)]. 2701 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(2353(a,1),2700(a,1,1))]. 2702 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(171,a,2380,a(flip),b,2701,a)]. 2703 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(171,a,2408,a,b,2702,a),flip(a)]. 2704 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(723(a,1),2703(a,2,1,2,2))]. 2705 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(2555(a,1),2704(a,1,1,2))]. 2706 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),2705(a,1,1,2,2))]. 2707 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(171,a,1613,a(flip),b,2706,a(flip))]. 2709 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(2707(a,1),2363(a,1,1))]. 2710 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(2707(a,1),2641(a,1,1))]. 2711 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(2506,a,2710,a),flip(a)]. 2713 T(x,y) * (T(y,x) * z) = x * (y * z). [para(2711(a,1),2484(a,1,2)),flip(a)]. 2714 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(2713(a,1),900(a,1,1))]. 2715 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(2371,a,2709,a)]. 2716 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(64(a,1),2709(a,1,2))]. 2718 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(101(a,1),2716(a,1,1,2))]. 2719 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(2718(a,1),60(a,1,2))]. 2720 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(171,a,2530,a,b,2719,a),flip(a)]. 2721 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(750(a,2),2720(a,1,1))]. 2722 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(2409(a,1),2721(a,1,1,1)),flip(a)]. 2723 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(135(a,1),2715(a,1,3)),flip(a)]. 2724 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(451,a,2714,a),flip(a)]. 2725 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(2714(a,1),451(a,1))]. 2726 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(171,a,2109,a(flip),b,2724,a)]. 2727 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(376,a,2723,a)]. 2728 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(1920,a,2727,a)]. 2729 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(2607(a,1),2722(a,1,2)),flip(a)]. 2730 ((x \ y) * x) / y = y / (x * (y / x)). [para(748(a,1),2729(a,1,1))]. 2731 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(171,a,2523,a(flip),b,2730,a)]. 2732 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(171,a,2656,a,b,2731,a(flip)),flip(a)]. 2733 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(2732(a,1),2278(a,2,2))]. 2734 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(171,a,2330,a(flip),b,2733,a(flip)),flip(a)]. 2735 x * (y \ (x / (x / y))) = (y \ x) * y. [para(105(a,1),2734(a,1,1,2)),flip(a)]. 2736 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,188,a,b,2735,a)]. 2737 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(171,a,2732,a,b,2736,a(flip)),flip(a)]. 2738 x / (x / y) = y * K(y \ x,y). [para(2736(a,1),14(a,1,2)),flip(a)]. 2739 (x * y) / ((x * y) / x) = x * K(y,x). [para(13(a,1),2738(a,2,2,1))]. 2740 T(x * K(x \ y,x),y) = L(x,z,x). [para(2738(a,1),812(a,1,1))]. 2741 x / (x / y) = y * K(x / y,y). [para(2620(a,2),2738(a,2,2))]. 2742 (x * (y / x)) \ x = y \ (y / (y / x)). [para(2741(a,2),1571(a,1,2)),flip(a)]. 2743 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(2737(a,1),2241(a,1,2,1)),flip(a)]. 2744 K(x,y) = T(y,x) \ y. [hyper(2399,a,2739,a),flip(a)]. 2745 T(T(x * K(y,x),z),x * y) = L(T(x,z),u,x). [para(2739(a,1),1006(a,1,1,1))]. 2746 K(x,y) = ((y * x) / y) \ x. [hyper(171,a,2589,a,b,2744,a)]. 2747 K(x,y) = (1 / T(y,x)) * y. [hyper(171,a,1555,a,b,2744,a)]. 2748 K(x,y) = y / T(y,x). [hyper(171,a,717,a,b,2744,a)]. 2749 K(x,y) = y * (T(y,x) \ 1). [hyper(171,a,626,a,b,2744,a)]. 2750 K(T(x,y),y) = x \ T(x,y). [hyper(171,a,2360,a(flip),b,2744,a)]. 2751 x * T(x \ 1,y) = K(x \ 1,y). [hyper(171,a,2359,a(flip),b,2744,a),flip(a)]. 2752 K(x,y) = x \ T(x,y). [hyper(171,a,2358,a(flip),b,2744,a)]. 2753 K(x,y) / y = 1 / T(y,x). [hyper(68,a,2744,a,b,1555,a)]. 2754 (1 / T(x,y)) \ K(y,x) = x. [hyper(67,a,2744,a,b,1555,a)]. 2755 T(x,y) \ 1 = x \ K(y,x). [hyper(67,a,2744,a,b,626,a),flip(a)]. 2756 T(x,y) * K(y,x) = x. [para(2744(a,2),14(a,1,2))]. 2757 T(x,y) = x / K(y,x). [para(2744(a,2),60(a,1,2)),flip(a)]. 2760 ((x \ y) \ y) * K(x \ y,x) = x. [para(2744(a,2),433(a,1,2))]. 2761 K(x,y) * T(y,x) = y. [para(2744(a,2),712(a,1,1))]. 2762 T(x,y) = K(y,x) \ x. [para(2744(a,2),722(a,1,1)),flip(a)]. 2763 T(x,K(x,y)) = x. [para(2744(a,2),1688(a,1,2))]. 2764 (x * y) / x = y * K(x,y). [para(2744(a,2),2362(a,2,2))]. 2765 T(x * K(y,x),y) = x. [para(2744(a,2),2368(a,1,1,2))]. 2766 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(2744(a,2),2373(a,1,2)),flip(a)]. 2767 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(2744(a,2),2374(a,1,1)),flip(a)]. 2768 x * (K(x,y) * z) = T(x,y) * z. [para(2744(a,2),2484(a,1,2,1))]. 2769 K(x,y) * (y * x) = x * y. [para(2744(a,2),2509(a,1,1))]. 2770 T(x,y) * (x \ z) = K(x,y) * z. [para(2744(a,2),2501(a,2,1))]. 2771 K(x / y,z) * x = y * T(y \ x,z). [para(2744(a,2),2508(a,1,1))]. 2772 K(x,y) * ((y * x) / y) = x. [para(2744(a,2),2587(a,1,1))]. 2773 K(x,y) * (T(y,x) * z) = y * z. [para(2744(a,2),2711(a,1,1))]. 2774 T(K(x,y),x) = K(x,y). [hyper(35,a,2763,a)]. 2775 T(T(x,y),K(x,z)) = T(x,y). [para(2763(a,1),38(a,1,1)),flip(a)]. 2776 K(x,y) * x != z | x * K(x,y) = z. [para(2763(a,1),182(a,1,2))]. 2777 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(2763(a,1),147(a,1,2,1)),flip(a)]. 2779 K(x,y) \ y != z | T(y,x) = z. [para(2748(a,2),202(a,1,1)),flip(b)]. 2780 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(2748(a,2),1057(a,2,1))]. 2781 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(2748(a,2),2273(a,1,2))]. 2782 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [hyper(270,a,2752,a,b,579,a),flip(a)]. 2783 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(171,a,2353,a,b,2752,a),flip(a)]. 2784 K(x,y) = (1 / x) * T(x,y). [hyper(171,a,824,a,b,2752,a)]. 2785 K(x,y) = T(x,y) / x. [hyper(171,a,720,a,b,2752,a)]. 2786 K(x,y) = T(x,y) * (x \ 1). [hyper(171,a,579,a,b,2752,a)]. 2787 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(171,a,2406,a(flip),b,2752,a),flip(a)]. 2788 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(67,a,2752,a,b,2356,a)]. 2789 T(x,y) \ K(x,y) = x \ 1. [hyper(67,a,2752,a,b,579,a)]. 2791 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(171,a,1451,a,b,2752,a(flip)),flip(a)]. 2792 x \ T(x,y \ 1) = K(x,1 / y). [hyper(171,a,1425,a,b,2752,a(flip))]. 2793 T(x,y) = x * K(x,y). [para(2752(a,2),14(a,1,2)),flip(a)]. 2794 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),2752(a,2,2)),flip(a)]. 2795 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(42(a,2),2752(a,2,2)),flip(a)]. 2796 x * K(x,y) != z | T(x,y) = z. [para(2752(a,2),179(a,1,2)),flip(b)]. 2797 x * K(x,y) != z * u | z \ T(x,y) = u. [para(2752(a,2),360(a,1,2))]. 2799 L(K(x,y),x,z / x) = z \ ((z / x) * T(x,y)). [para(2752(a,2),312(a,1,1))]. 2800 T(x,y) = K(x,y) * x. [para(2752(a,2),714(a,1,1)),flip(a)]. 2801 K(x / (x / y),x) = (x / (x / y)) \ L(y,z,y). [para(812(a,1),2752(a,2,2))]. 2802 K(x,y) * x != z | T(x,y) = z. [para(2752(a,2),826(a,1,1))]. 2803 T(x \ 1,K(x,y)) = x \ 1. [para(2752(a,2),1584(a,1,2))]. 2804 (x * K(y,x)) * y = y * x. [para(2752(a,2),2348(a,1,1,2))]. 2805 (x * y) / x = K(x,y) * y. [para(2752(a,2),2355(a,1,1)),flip(a)]. 2806 (x \ y) * K(x,x \ y) = y / x. [para(2752(a,2),2350(a,1,2))]. 2807 L(x,K(y,z),y) != u | u = x. [para(2752(a,2),2500(a,1,2))]. 2808 K(x,y) * (x * z) = T(x,y) * z. [para(2752(a,2),2482(a,1,1))]. 2809 K(x,y) \ (T(x,y) * z) = x * z. [para(2752(a,2),2503(a,1,1))]. 2810 x * (T(x,y) \ z) = K(x,y) \ z. [para(2752(a,2),2504(a,1,1)),flip(a)]. 2811 K(x,x \ y) * y = x * (y / x). [para(2752(a,2),2518(a,1,1))]. 2812 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(2560(a,1),2752(a,2,2))]. 2813 K(x,x \ y) \ y = (x \ y) * x. [para(2752(a,2),2716(a,1,1))]. 2814 (x \ y) * K(x,y / x) = y / x. [para(102(a,1),2756(a,1,1))]. 2815 T(x,y) \ x != z | K(y,x) = z. [para(2756(a,1),203(a,1,2)),flip(b)]. 2817 T(x,y) * K(y,T(x,y)) = x. [para(2618(a,2),2756(a,1,2))]. 2818 x * (y * K(x,y)) = T(x,y) * y. [para(2756(a,1),2713(a,1,2)),flip(a)]. 2820 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(1426(a,1),2757(a,2,2)),flip(a)]. 2823 K(x,y / x) * (x \ y) = y / x. [para(102(a,1),2761(a,1,2))]. 2824 x / T(x,y) != z | K(y,x) = z. [para(2761(a,1),213(a,1,1)),flip(b)]. 2825 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(171,a,2379,a,b,2762,a),flip(a)]. 2826 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(171,a,2378,a(flip),b,2762,a)]. 2827 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(2762(a,2),2115(a,1,2,1))]. 2828 K(x,y) \ T(y,x) = T(T(y,x),x). [para(2618(a,1),2762(a,2,1)),flip(a)]. 2829 T(T(x * K(y,x),z),y) = T(x,z). [para(2765(a,1),38(a,1,1)),flip(a)]. 2832 T(x * K(y,x),z) * y = y * T(x,z). [para(2765(a,1),146(a,1,2,1)),flip(a)]. 2833 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(2765(a,1),420(a,1,2,1)),flip(a)]. 2834 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(2765(a,1),908(a,1,2,1)),flip(a)]. 2835 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2765(a,1),957(a,1,2)),flip(a)]. 2836 T(K(x,y) * y,x) = y. [para(1592(a,2),2765(a,1,1))]. 2837 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(2765(a,1),1923(a,1,2,1)),flip(a)]. 2838 T(x \ K(y,x \ 1),y) = x \ 1. [para(2036(a,1),2765(a,1,1))]. 2839 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(2765(a,1),2178(a,1,2,2)),flip(a)]. 2840 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2774(a,1),148(a,1,2,1)),flip(a)]. 2842 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(67,a,2793,a,b,1027,a(flip))]. 2843 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(171,a,2146,a,b,2793,a(flip))]. 2844 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(171,a,1709,a,b,2793,a(flip)),flip(a)]. 2845 T(x,y) != x * z | K(x,y) = z. [para(2793(a,2),19(a,1))]. 2846 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(2793(a,2),30(a,2,2)),flip(a)]. 2847 x \ T(x,y) != z | K(x,y) = z. [para(2793(a,2),203(a,1,2)),flip(b)]. 2848 L(K(x,y) \ z,K(x,y),x) = T(x,y) \ (x * z). [para(2793(a,2),91(a,2,1))]. 2850 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(2793(a,2),601(a,2,2,1))]. 2851 x * K(R(x,y,x),z) = T(x,z). [para(830(a,2),2793(a,2,2)),flip(a)]. 2852 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(747(a,1),2793(a,2,2)),flip(a)]. 2853 L(L(K(x,y),x,z),z * x,u) = (u * (z * x)) \ (u * (z * T(x,y))). [para(2793(a,2),300(a,1,2,2,2)),flip(a)]. 2854 K(x,y) * x = (y \ x) * y. [hyper(840,a,2800,a),flip(a)]. 2855 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(287,a,2800,a),flip(a)]. 2857 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(171,a,40,a,b,2800,a(flip))]. 2858 x * (K(y,x) * y) = y * x. [para(2800(a,1),100(a,1,2))]. 2860 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(2800(a,2),91(a,2,2))]. 2861 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(2800(a,2),144(a,1,1))]. 2862 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(2800(a,2),1767(a,1,1))]. 2863 K(x,y) = x * (((y * x) / y) \ 1). [hyper(171,a,1527,a,b,2746,a)]. 2864 K(x,y) = x / ((y * x) / y). [hyper(171,a,809,a,b,2746,a)]. 2865 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(67,a,2746,a,b,1527,a),flip(a)]. 2867 K(x,y) / x = 1 / ((y * x) / y). [para(2746(a,2),1627(a,1,1))]. 2870 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(2749(a,2),90(a,1,2,2)),flip(a)]. 2871 x * (K(y,z) / z) = x * (1 / T(z,y)). [hyper(21,a,2753,a)]. 2872 T(x,y) = (K(y,x) / x) \ 1. [para(2753(a,2),63(a,1,1)),flip(a)]. 2874 T(x,y) = 1 / (x \ K(y,x)). [para(2755(a,1),60(a,1,2)),flip(a)]. 2876 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(2755(a,1),211(a,1,2)),flip(b)]. 2877 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(2755(a,1),1944(a,1,2,1))]. 2878 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(67,a,2764,a,b,623,a)]. 2879 x \ T(x * y,y) = y * K(x * y,y). [hyper(171,a,1162,a(flip),b,2764,a(flip)),flip(a)]. 2880 (x * K(y,x)) \ (y * x) = y. [para(2764(a,1),63(a,1,1))]. 2881 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(2764(a,1),97(a,1,1))]. 2882 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(2764(a,2),320(a,1,2))]. 2883 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(2764(a,1),335(a,1,1))]. 2884 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(2764(a,1),510(a,1,1))]. 2885 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(2764(a,1),515(a,1,1))]. 2886 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(2764(a,1),1624(a,2,1,2))]. 2887 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1747(a,1),2764(a,1,1))]. 2888 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1763(a,1),2764(a,1,1))]. 2889 K(x \ y,x) * y = (x \ y) * x. [hyper(220,a,2769,a)]. 2890 K(x,y) \ (x * y) = y * x. [hyper(73,a,2769,a)]. 2891 x / ((y \ x) * y) = K(y,y \ x). [hyper(68,a,14,a(flip),b,2769,a)]. 2892 K(x,y / x) * y = x * (y / x). [para(16(a,1),2769(a,1,2))]. 2893 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(2769(a,1),300(a,1,1))]. 2894 K(x \ y,x) * (y / x) = x \ y. [para(14(a,1),2772(a,1,2,1))]. 2895 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(82(a,1),2772(a,1,2,1))]. 2896 K(x,y) * T(x,y \ 1) = x. [para(952(a,2),2772(a,1,2))]. 2898 K(T(x,y),K(x,z)) = 1. [hyper(36,a,2775,a)]. 2899 T(K(x,y),T(x,z)) = K(x,y). [hyper(35,a,2775,a)]. 2900 K(1 / x,y) / x = T(1 / x,y). [hyper(222,a,2786,a(flip))]. 2902 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(2786(a,2),308(a,1,2,2))]. 2904 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(2803(a,1),244(a,2,1))]. 2905 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1769,a,b,2804,a)]. 2906 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(2804(a,1),333(a,1,1,1))]. 2907 x / ((y * K(z,y)) * ((z \ 1) \ 1)) = (1 / (1 / x)) / (z * y). [para(2804(a,1),2290(a,1,2)),flip(a)]. 2908 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(68,a,571,a,b,2805,a(flip))]. 2911 x / (y / (y / x)) = K(x,x \ y). [para(1475(a,1),2864(a,2,2)),flip(a)]. 2912 L(((x * y) \ x) \ 1,(x * y) \ x,y * x) = y. [hyper(1573,a,2880,a)]. 2913 K(x \ 1,y) = K(y,x). [hyper(18,a,2761,a,b,2896,a),flip(a)]. 2914 K(x,y \ 1) = K(y,x). [hyper(171,a,736,a(flip),b,2913,a(flip))]. 2915 L(x,y,K(z,y)) = x. [para(2914(a,1),2537(a,1,3))]. 2916 T(x,K(y,x \ 1)) = x. [para(2914(a,2),2763(a,1,2))]. 2917 L(x,K(y,z),z) != u | u = x. [para(2914(a,1),2807(a,1,2))]. 2918 a(K(x,y),y,z) = 1. [hyper(34,a,2915,a)]. 2919 a(K(x,y),x \ 1,z) = 1. [para(2914(a,1),2918(a,1,1))]. 2920 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(2916(a,1),1154(a,1,2,2))]. 2921 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(2899(a,1),182(a,1,2))]. 2923 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(2359(a,1),2815(a,1))]. 2924 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(2372(a,2),2815(a,1))]. 2925 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),2847(a,1,2))]. 2926 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(453(a,2),2847(a,1,2))]. 2927 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(2521(a,2),2847(a,1))]. 2928 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2074,a,2751,a)]. 2929 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(618,a,2751,a)]. 2930 T(1 / x,y) * x = K(x \ 1,y). [hyper(280,a,2751,a)]. 2931 K((x * y) \ x,x * y) = K(y \ 1,x * y). [hyper(171,a,660,a,b,2751,a(flip)),flip(a)]. 2932 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(171,a,1501,a(flip),b,2751,a(flip)),flip(a)]. 2933 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(2751(a,1),461(a,2,2))]. 2934 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(2751(a,1),556(a,2,2))]. 2935 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(2751(a,1),691(a,1,1))]. 2936 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(2751(a,1),1498(a,1,2)),flip(a)]. 2937 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(2751(a,1),1517(a,1,1))]. 2938 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(2751(a,1),1581(a,2,1))]. 2939 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(2751(a,1),1730(a,2,2))]. 2940 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(2751(a,1),2000(a,2,1,2))]. 2941 K(x,y) \ (x \ z) = T(x,y) \ z. [hyper(394,a,2768,a),flip(a)]. 2942 x \ (T(x,y) * z) = K(x,y) * z. [hyper(73,a,2768,a)]. 2943 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(67,a,2786,a,b,2768,a),flip(a)]. 2944 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(67,a,100,a(flip),b,2768,a),flip(a)]. 2945 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(67,a,14,a(flip),b,2768,a),flip(a)]. 2946 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,629,a,b,2768,a)]. 2947 R(x,y,x) = K(x * z,x) * T(x,z). [hyper(17,a,1772,a(flip),b,2768,a),flip(a)]. 2948 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,1072,a(flip),b,2768,a)]. 2949 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(2768(a,1),24(a,2,2,1)),flip(a)]. 2950 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(561,a,2770,a)]. 2951 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(171,a,2768,a,b,2770,a(flip)),flip(a)]. 2952 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(171,a,850,a(flip),b,2770,a(flip)),flip(a)]. 2953 (x * (y / x)) / y = K(x,x \ y). [hyper(68,a,2493,a(flip),b,2770,a(flip))]. 2954 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(2752(a,2),2770(a,1,2)),flip(a)]. 2955 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(396,a,2773,a)]. 2956 T(x,y) \ (K(y,x) \ z) = x \ z. [hyper(394,a,2773,a),flip(a)]. 2957 x * (T(x,y) \ z) = K(y,x) * z. [hyper(220,a,2773,a),flip(a)]. 2958 K(x,y) \ (y * z) = T(y,x) * z. [hyper(73,a,2773,a)]. 2961 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(2773(a,1),300(a,1,1)),flip(a)]. 2962 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(2793(a,2),2773(a,1,2))]. 2963 K(x,(x / y) / x) = K(x,1 / y). [hyper(2381,a,2792,a)]. 2966 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(67,a,2792,a(flip),b,2353,a)]. 2967 K(x,1 / y) != z | K(x,y \ 1) = z. [para(2792(a,1),2847(a,1))]. 2969 K(x,y) \ x = x * K(y,x). [hyper(67,a,2756,a(flip),b,2808,a)]. 2970 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(67,a,100,a(flip),b,2808,a)]. 2971 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),2808(a,2,1))]. 2972 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(2808(a,1),220(a,1))]. 2973 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(147(a,1),2808(a,1,2))]. 2974 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(148(a,1),2808(a,1,2))]. 2975 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(2808(a,1),300(a,1,1))]. 2976 T(T(x,x * y) * y,x) = x * y. [para(2808(a,1),2836(a,1,1))]. 2977 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(2809(a,1),179(a,1,2)),flip(b)]. 2978 K(x,y) \ 1 = K(y,x). [hyper(171,a,2749,a,b,2810,a(flip))]. 2979 1 / K(x,y) = K(y,x). [hyper(746,a,2978,a)]. 2980 K(x,y) * K(y,x) = 1. [para(2978(a,1),14(a,1,2))]. 2981 1 / K(x,y) != z | K(y,x) = z. [para(2978(a,1),211(a,1,2)),flip(b)]. 2982 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(2978(a,1),246(a,1,1,1))]. 2983 K(x,y) \ 1 != z | K(y,x) = z. [para(2978(a,1),729(a,1,1)),flip(b)]. 2984 (K(x,y) * z) / K(x,y) = T(z,K(y,x)). [para(2978(a,1),952(a,1,2)),flip(a)]. 2985 T(T(x,K(y,z)),K(z,y)) = x. [para(2978(a,1),953(a,1,2))]. 2986 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(2978(a,1),1838(a,2,2,1))]. 2987 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(2978(a,1),1956(a,2,1,2,1))]. 2988 K(K(x,y),z) = K(z,K(y,x)). [para(2978(a,1),2913(a,1,1))]. 2989 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(171,a,1427,a,b,2979,a),flip(a)]. 2990 K(x,y) * z != 1 | K(y,x) = z. [para(2979(a,1),74(a,1,1)),flip(b)]. 2992 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(1063,a,2985,a)]. 2993 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(445,a,2985,a)]. 2994 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(2985(a,1),100(a,1,2)),flip(a)]. 2995 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(2988(a,1),2793(a,2,2)),flip(a)]. 2996 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(2988(a,1),2800(a,2,1)),flip(a)]. 2997 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(2988(a,1),2808(a,1,1))]. 2998 K(x,R(y,z,y)) != u | K(x,y) = u. [para(2989(a,2),2981(a,1))]. 2999 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(68,a,987,a,b,2811,a)]. 3001 (x * (1 / x)) \ 1 = (x \ 1) * x. [para(728(a,1),2813(a,1,1))]. 3002 T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(2818(a,1),2576(a,1,2))]. 3003 T(x,x \ y) / (y \ x) = x * (y / x). [para(2825(a,1),2392(a,1,1))]. 3004 ((x / y) / x) * T(x,y \ 1) = x * ((x / y) / x). [para(2826(a,1),919(a,1,2))]. 3005 K(x,T(y,T(x,z))) = K(x,y). [hyper(2845,a,2844,a)]. 3006 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(2844(a,2),2796(a,1))]. 3007 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(2863(a,2),1098(a,2,2))]. 3008 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(2865(a,1),2200(a,1,2))]. 3009 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(2865(a,1),2555(a,1,2))]. 3010 (x * K(y,x)) \ 1 = x \ K(x,y). [para(2764(a,1),2865(a,1,1))]. 3011 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(531(a,1),2867(a,2,2))]. 3012 1 / (x * K(y,x)) = K(x,y) / x. [para(2764(a,1),2867(a,2,2)),flip(a)]. 3013 K(x \ y,x) = K(y,x). [hyper(18,a,2854,a,b,2889,a)]. 3014 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(2889(a,1),1845(a,2,2))]. 3015 K(x / y,y) * x = (y \ x) * y. [para(2620(a,2),2889(a,1,1))]. 3016 K(x \ y,x) = a(z,u,z) \ K(y,x). [hyper(171,a,763,a,b,3013,a)]. 3017 K(x * y,x) = K(y,x). [hyper(171,a,441,a(flip),b,3013,a(flip))]. 3018 L(x,y / z,K(y,z)) = x. [para(3013(a,1),2633(a,1,3))]. 3019 K(x * K(y,z),x) = K(x,K(z,y)). [hyper(171,a,2988,a(flip),b,3017,a)]. 3020 a(x,y,x) \ K(z * u,z) = K(u,z). [hyper(171,a,763,a,b,3017,a(flip)),flip(a)]. 3021 L(x,y * z,K(z,y)) = x. [para(3017(a,1),2538(a,1,3))]. 3022 L(x,y * z,K(z,y)) != u | u = x. [para(3017(a,1),2541(a,1,3))]. 3023 L(x,T(y,z) * z,K(z,y)) = x. [para(2618(a,1),3021(a,1,3))]. 3024 K(x,x \ y) = y / T(y,x). [para(709(a,2),2891(a,1,2)),flip(a)]. 3025 K(x,x \ y) = K(x,y). [hyper(171,a,2748,a,b,3024,a)]. 3026 K(x,x \ y) != z | K(x,y) = z. [para(3024(a,2),2824(a,1))]. 3027 K(x,y * x) = K(x,y). [hyper(171,a,2627,a(flip),b,3025,a(flip))]. 3028 K(x,x * y) = K(x,y). [para(13(a,1),3025(a,1,2)),flip(a)]. 3029 L(x,K(y,y \ z),z) != u | u = x. [para(3025(a,2),2917(a,1,2))]. 3030 (x \ y) * K(x,y) = y / x. [para(3025(a,1),2806(a,1,2))]. 3031 K((x * y) \ x,x * y) = K(x,y). [hyper(171,a,3013,a,b,3028,a(flip)),flip(a)]. 3032 K(x,y) != z | K(x,x * y) = z. [para(13(a,1),3026(a,1,2))]. 3033 K(x,y * x) != z | K(x,x * y) = z. [para(3027(a,2),3032(a,1))]. 3034 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(68,a,371,a(flip),b,2930,a),flip(a)]. 3035 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(171,a,2789,a(flip),b,2941,a)]. 3037 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(2942(a,1),179(a,1,2)),flip(b)]. 3039 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(2945(a,1),19(a,1))]. 3040 K(x,y) \ (x \ z) != u | T(x,y) \ z = u. [para(2945(a,1),203(a,1,2)),flip(b)]. 3041 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(270,a,2810,a(flip),b,2957,a(flip)),flip(a)]. 3042 T(x,y) \ (x * z) = K(y,x) * z. [hyper(171,a,625,a,b,2957,a(flip)),flip(a)]. 3043 K(x,y) \ z = K(y,x) * z. [hyper(171,a,2810,a(flip),b,2957,a(flip)),flip(a)]. 3044 (K(x,y) \ z) / z = K(y,x). [hyper(68,a,2810,a(flip),b,2957,a(flip))]. 3045 T(x,y) * (K(y,x) * z) = x * z. [para(2957(a,1),623(a,1,2))]. 3046 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(486,a,3043,a),flip(a)]. 3047 x / (K(y,z) * x) = K(z,y). [hyper(410,a,3043,a)]. 3048 K(x,y) * (K(y,x) * z) = z. [hyper(219,a,3043,a),flip(a)]. 3049 x \ (T(x,y) * z) = K(y,x) \ z. [hyper(171,a,2942,a,b,3043,a),flip(a)]. 3050 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(171,a,1599,a,b,3043,a)]. 3051 T(x * K(y,z),x) = K(z,y) \ x. [hyper(171,a,705,a,b,3043,a),flip(a)]. 3052 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(171,a,2941,a(flip),b,3043,a(flip))]. 3053 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(171,a,1066,a(flip),b,3043,a(flip))]. 3054 K(x,y) * (K(y,x) * z) != u | u = z. [para(3043(a,1),179(a,1,2))]. 3055 x / (K(y,z) * x) != u | K(z,y) = u. [para(3043(a,1),211(a,1,2)),flip(b)]. 3057 K(x,y) * (K(y,x) * z) != u | z = u. [para(3043(a,1),219(a,1))]. 3058 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(3043(a,2),89(a,1,1))]. 3059 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(3043(a,1),169(a,1,1,2))]. 3060 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(3043(a,1),169(a,1,1))]. 3061 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(3043(a,1),369(a,1,2))]. 3062 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(3043(a,1),322(a,1,1,3))]. 3063 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(3043(a,1),709(a,2,1)),flip(a)]. 3064 (K(x,y) * z) \ z = T(K(y,x),z). [para(3043(a,1),794(a,2,1)),flip(a)]. 3065 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(3043(a,1),1421(a,1,1))]. 3066 L(K(x,y / x) * z,K(y / x,x),y) = ((x \ y) * x) \ (y * z). [para(3043(a,1),2636(a,1,1))]. 3067 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3043(a,1),2637(a,1,1))]. 3068 K(x,y) * z != u | K(y,x) \ z = u. [para(3044(a,1),177(a,1,1)),flip(b)]. 3070 K(x,y) * z != u | K(y,x) * u = z. [para(3047(a,1),74(a,1,1)),flip(b)]. 3071 K(x,y) \ z != u | K(y,x) * z = u. [para(3047(a,1),202(a,1,1)),flip(b)]. 3072 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(2943(a,1),3047(a,1,2))]. 3073 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(17,a,2943,a,b,3048,a)]. 3074 K(x \ y,x) * (x * (y / x)) = y. [hyper(17,a,2811,a,b,3048,a)]. 3075 K(x,y) * (T(x,z) * K(y,x)) = T(x,z). [hyper(17,a,1594,a(flip),b,3048,a)]. 3076 x * (K(y,z) * u) != u | K(z,y) = x. [para(3048(a,1),20(a,1)),flip(a)]. 3077 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(3048(a,1),96(a,1,2))]. 3078 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(3048(a,1),706(a,1,1))]. 3079 K(x,1 / (y \ x)) = K(x,y / x). [para(60(a,1),2963(a,1,2,1)),flip(a)]. 3080 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(2963(a,1),189(a,1,2))]. 3081 x * K(y,1 / (x \ z)) = z * ((y * (z \ x)) / y). [para(2963(a,1),1849(a,1,2))]. 3082 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(754(a,1),2998(a,1,2))]. 3083 K(x,y \ 1) != z | K(x,1 / y) = z. [para(755(a,1),2998(a,1,2))]. 3084 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(1662(a,1),2998(a,1,2))]. 3087 L(((x \ 1) * x) * y,x * (1 / x),x) = (x * (1 / x)) \ y. [para(3001(a,1),2445(a,1,1,1))]. 3088 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(3008(a,1),146(a,1,2,1))]. 3089 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(3010(a,1),2248(a,1,1))]. 3090 (K(x,y) / x) \ 1 = x * K(y,x). [para(3012(a,1),63(a,1,1))]. 3091 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(3012(a,1),1160(a,1,1,1)),flip(a)]. 3092 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(171,a,3028,a,b,3019,a)]. 3094 K((x * y) \ x,x * y) = (y * x) \ (x * y). [hyper(171,a,26,a(flip),b,3031,a)]. 3095 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(3041(a,1),1777(a,1,2,2,1))]. 3096 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),3042(a,1,1))]. 3097 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(3042(a,1),179(a,1,2)),flip(b)]. 3098 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(3042(a,1),636(a,1))]. 3099 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(2756(a,1),3042(a,1,2)),flip(a)]. 3100 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(2793(a,2),3042(a,1,2))]. 3101 K(x,y) * (y * z) = y * (K(x,y) * z). [para(3042(a,1),2957(a,1,2)),flip(a)]. 3102 K(x,y) * (x / y) = x / T(y,x). [hyper(1081,a,3045,a),flip(a)]. 3103 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(68,a,2793,a,b,3045,a)]. 3104 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(3045(a,1),203(a,1,2)),flip(b)]. 3105 K(x,y) \ (y \ z) = y \ (K(x,y) \ z). [hyper(67,a,2956,a(flip),b,3052,a)]. 3106 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(3052(a,2),2957(a,1,2))]. 3107 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(3073(a,1),213(a,1,1)),flip(b)]. 3108 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(3102(a,1),89(a,1,1))]. 3109 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(3102(a,1),118(a,1,2,1))]. 3110 T(x,y) != z | x * K(x,y) = z. [para(2800(a,2),2776(a,1))]. 3112 R(x,y,x) = T(x,z) * K(x * z,x). [hyper(171,a,1594,a,b,2947,a)]. 3114 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(67,a,2948,a(flip),b,1594,a),flip(a)]. 3115 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(151(a,1),3006(a,1,2))]. 3117 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(3016(a,2),2061(a,1,1))]. 3118 K(x * y,x) = a(z,u,z) * K(y,x). [para(3020(a,1),14(a,1,2)),flip(a)]. 3120 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(3020(a,1),2095(a,1,3)),flip(a)]. 3122 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(2945(a,1),3054(a,1,2)),flip(b)]. 3124 K(x,y) != z | K(x,1 / (1 / y)) = z. [para(119(a,1),3082(a,1,2))]. 3125 K(x,T(y,1 / y)) != z | K(x,y) = z. [para(918(a,2),3082(a,1,2))]. 3127 K(x,((y \ 1) * z) \ u) != w | K(x,((1 / y) * z) \ u) = w. [para(2266(a,1),3082(a,1,2))]. 3128 K(x \ 1,y) != z | K(y,x) = z. [para(2914(a,1),3082(a,1))]. 3129 K(x,y) != z | K(y,x \ 1) = z. [para(723(a,1),3128(a,1,1))]. 3130 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(2978(a,1),3128(a,1,1))]. 3131 L(K(x * y,x),T(x,y),z) = (z * T(x,y)) \ (z * R(x,u,x)). [para(3112(a,2),28(a,2,2,2))]. 3132 T(x,y) \ L(x,x \ y,x) = K(x \ y,x). [para(14(a,1),3114(a,2,1,2)),flip(a)]. 3133 K(x,x * y) * K(y,x) = x \ L(x,y,x). [para(3114(a,2),2945(a,1,2))]. 3134 K(x * y,x) != z | K(y,x) * a(u,w,u) = z. [para(3118(a,2),776(a,1))]. 3141 x * ((y * (x / y)) \ y) = x / (x / y). [para(2742(a,2),14(a,1,2))]. 3142 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(68,a,540,a(flip),b,2771,a)]. 3145 x / (y * T(y \ x,z)) = K(z,x / y). [para(2771(a,1),3047(a,1,2))]. 3146 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(2781(a,1),60(a,1,2))]. 3147 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(171,a,2699,a(flip),b,2783,a(flip)),flip(a)]. 3148 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(171,a,2039,a(flip),b,2783,a(flip)),flip(a)]. 3150 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(2783(a,1),1848(a,1,2))]. 3151 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(2783(a,2),3083(a,1))]. 3152 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(171,a,2752,a,b,2812,a)]. 3154 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(171,a,1448,a(flip),b,3152,a(flip))]. 3155 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,2804,a,b,2832,a),flip(a)]. 3156 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1769,a,b,2832,a)]. 3157 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,937,a,b,2832,a)]. 3158 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(18,a,277,a,b,2832,a),flip(a)]. 3160 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(3157(a,1),38(a,1,1)),flip(a)]. 3161 x \ T(x * y,y) != y * z | K(x * y,y) = z. [para(2879(a,2),19(a,1))]. 3162 T(x,y) * K(x,z) != u | K(y,x) \ T(x,z) = u. [para(2954(a,1),3068(a,1))]. 3163 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(2984(a,1),207(a,1,1))]. 3164 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(705(a,1),3163(a,1,1)),flip(b)]. 3165 T(T(x,y),K(x,z)) != u | T(x,y) = u. [para(1591(a,1),3163(a,1,1)),flip(b)]. 3166 T(x * K(y,z),K(z,y)) != x * u | T(K(y,z),x) = u. [para(2992(a,2),139(a,2)),flip(a)]. 3167 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(3070,a,2995,a)]. 3168 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(2995(a,1),3054(a,1,2)),flip(b)]. 3169 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(15(a,1),3003(a,2,2))]. 3170 T(x,y / x) / (y \ x) = x * (y / x). [para(909(a,2),3003(a,1,1))]. 3171 a(x,y,x) = K(z,u) * K(u,u \ z). [hyper(1156,a,3100,a)]. 3172 K(x,x \ y) = K(x,y) * a(z,u,z). [hyper(3070,a,3171,a(flip)),flip(a)]. 3174 K(x,x * y) * a(z,u,z) = K(x,y). [para(13(a,1),3172(a,1,2)),flip(a)]. 3175 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(3172(a,2),1163(a,1,2))]. 3176 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(3172(a,2),1432(a,1,2))]. 3177 K(x,K(y,y * z)) = K(x,K(y,z)). [para(13(a,1),3176(a,1,2,2)),flip(a)]. 3178 K(x,K(y,z * y)) = K(x,K(y,z)). [para(2627(a,1),3176(a,1,2)),flip(a)]. 3179 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(3152(a,1),3177(a,1,2)),flip(a)]. 3180 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(82(a,1),3178(a,1,2,2))]. 3181 K(x,x * y) * (a(z,u,z) * w) = K(x,y) * w. [para(3174(a,1),789(a,1,1)),flip(a)]. 3182 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(3101(a,1),96(a,2,1))]. 3183 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(3101(a,1),220(a,1))]. 3184 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(2765(a,1),3103(a,1,1))]. 3185 x \ (y \ (K(x,y) \ z)) = T(x,y) \ (y \ z). [hyper(67,a,3105,a(flip),b,2810,a)]. 3186 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(2615(a,1),3117(a,1,1)),flip(a)]. 3187 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1534(a,1),3145(a,1,2))]. 3188 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1576(a,1),3145(a,1,2))]. 3189 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(2753(a,2),3146(a,1,2))]. 3190 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(3158(a,1),1053(a,1,1,1))]. 3191 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(17,a,2749,a(flip),b,3167,a),flip(a)]. 3192 K(x,K(y,z \ y)) = K(x,K(z,y)). [para(2914(a,1),3179(a,1,2)),flip(a)]. 3193 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(171,a,3179,a,b,3192,a(flip)),flip(a)]. 3194 K(x,K(1 / y,z)) = K(x,K(z,y)). [para(63(a,1),3193(a,1,2,2)),flip(a)]. 3198 x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. [para(1501(a,1),2923(a,1))]. 3199 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2069(a,1),2923(a,1))]. 3200 R(x * T(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(2073(a,1),2923(a,1))]. 3201 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(2924,a,1519,a),flip(a)]. 3205 K(x / y,z) \ y != u | T(x / y,z) \ x = u. [para(63(a,1),3040(a,1,2))]. 3207 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(3048(a,1),3097(a,1,2))]. 3216 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(78,a,2766,a)]. 3217 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(2924,a,2767,a)]. 3218 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(2767(a,1),2924(a,1))]. 3219 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(63(a,1),3217(a,2,1,1))]. 3220 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(723(a,1),3217(a,2,1,1))]. 3221 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2176(a,1),3219(a,1,1))]. 3222 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(2752(a,2),2787(a,1,1)),flip(a)]. 3223 K(x,T(y,z) \ 1) = T(K(x,1 / y),z). [para(2792(a,1),2787(a,1,1)),flip(a)]. 3224 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(3222(a,2),100(a,1,2))]. 3225 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(3222(a,1),2796(a,1,2))]. 3226 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [hyper(3083,a,3223,a)]. 3227 T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. [para(3223(a,1),3083(a,1))]. 3228 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [para(727(a,1),3226(a,2,1,2))]. 3230 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(3012(a,1),2839(a,1,1,2))]. 3231 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(3230(a,1),100(a,1,2)),flip(a)]. 3232 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(496,a,2840,a),flip(a)]. 3233 T(x,R(K(x,y),z,u)) = x. [hyper(139,a,2840,a)]. 3234 K(x,R(K(x,y),z,u)) = 1. [hyper(36,a,3233,a)]. 3235 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3233(a,1),147(a,1,2,1))]. 3236 K(x,R(T(K(x,y),z),u,w)) = 1. [para(3228(a,1),3234(a,1,2,1))]. 3237 T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. [para(2843(a,1),2796(a,1))]. 3238 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(171,a,2764,a(flip),b,2884,a),flip(a)]. 3239 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(68,a,2884,a,b,2805,a(flip))]. 3240 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(2884(a,2),2864(a,2,2)),flip(a)]. 3241 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(171,a,2764,a(flip),b,2885,a),flip(a)]. 3242 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(2885(a,2),2746(a,2,1)),flip(a)]. 3244 K(x \ 1,y * x) = K(y,x). [hyper(171,a,3031,a(flip),b,2931,a(flip))]. 3245 K((x \ y) \ 1,(y \ x) \ z) = x \ (y * (((y \ x) \ z) \ z)). [para(101(a,1),2932(a,1,2,2)),flip(a)]. 3246 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(541(a,1),2932(a,1,2))]. 3247 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1576(a,1),2932(a,1,2))]. 3248 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(1082,a,2936,a),flip(a)]. 3249 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(618,a,2936,a),flip(a)]. 3250 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(464,a,2936,a),flip(a)]. 3251 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(138,a,2771,a,b,2936,a(flip))]. 3252 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(2936(a,2),19(a,1))]. 3253 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(893(a,2),2936(a,2,2,1,1))]. 3254 T(K(x / y,z),x) \ 1 != u | K(z,(x \ y) \ 1) = u. [para(3251(a,2),2983(a,1,1))]. 3255 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [hyper(171,a,580,a(flip),b,2937,a),flip(a)]. 3256 K((x / y) \ 1,z) = K(y / x,z). [hyper(18,a,2771,a,b,2937,a)]. 3257 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),2937(a,2,2,1))]. 3258 K((x / y) \ 1,x) = K(x \ y,x). [hyper(171,a,2620,a(flip),b,3256,a)]. 3259 K(1 / (x / y),z) = K(y / x,z). [hyper(171,a,747,a,b,3256,a(flip)),flip(a)]. 3260 K(x / (y * x),z) = K(y \ 1,z). [para(15(a,1),3256(a,1,1,1)),flip(a)]. 3261 K((x / (y * x)) \ 1,z) = K(y,z). [para(15(a,1),3256(a,2,1))]. 3262 K((x \ y) / y,z) = K(x \ 1,z). [para(60(a,1),3256(a,1,1,1)),flip(a)]. 3263 K(x \ (y \ x),x) = K(y \ 1,x). [para(60(a,1),3258(a,1,1,1)),flip(a)]. 3264 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(3260(a,1),2632(a,1,2)),flip(a)]. 3265 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(3263(a,1),3117(a,1,1))]. 3266 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(2950(a,2),139(a,2)),flip(a)]. 3267 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(1601,a,2962,a)]. 3268 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [hyper(68,a,3034,a(flip),b,709,a(flip))]. 3269 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(3034(a,1),38(a,1,1)),flip(a)]. 3270 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(171,a,3170,a,b,3080,a),flip(a)]. 3272 K((x * y) \ x,x * y) != z | K(x,y) = z. [para(3094(a,2),208(a,1))]. 3273 K(x,x * y) != z | K(x,y) = z. [para(3013(a,1),3272(a,1))]. 3274 K(x \ 1,y * x) != z | K(y,x) = z. [para(2931(a,1),3272(a,1))]. 3275 K(x * y,y) = K(x,y) * a(z,u,z). [hyper(3134,a,2619,a(flip)),flip(a)]. 3276 K(x * y,y) != z | K(x,y) * a(u,w,u) = z. [para(2619(a,2),3134(a,1))]. 3277 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(73,a,3155,a)]. 3278 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(32(a,2),3169(a,1,1,2))]. 3279 T(x,y) / ((y * x) \ x) = x * y. [para(899(a,1),3278(a,1,1))]. 3280 T(x,y) = (x * y) * ((y * x) \ x). [para(3279(a,1),16(a,1,1)),flip(a)]. 3281 (x * y) \ T(x,y) = (y * x) \ x. [para(3279(a,1),63(a,1,1))]. 3282 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(155(a,1),3281(a,1,1))]. 3283 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). [para(3281(a,1),1737(a,1,1)),flip(a)]. 3284 (1 / x) \ (L(x,y,z) \ (K(1 / x,L(x,y,z)) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(1697(a,1),3185(a,2,1))]. 3285 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(171,a,747,a,b,3201,a)]. 3286 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(63(a,1),3216(a,1,2,1,2))]. 3287 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(102(a,1),3224(a,1,2,2,1)),flip(a)]. 3288 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(2913(a,1),3265(a,1,1)),flip(a)]. 3289 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(171,a,3265,a,b,3288,a(flip)),flip(a)]. 3290 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(723(a,1),3289(a,1,1,1)),flip(a)]. 3292 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(2738(a,2),3277(a,1,2,1))]. 3293 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(2936(a,2),3277(a,1,2,1))]. 3294 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(580(a,1),3285(a,1,1)),flip(a)]. 3295 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(796(a,1),2795(a,1,2,1)),flip(a)]. 3296 K((x / y) \ x,x) = (x / (x / y)) \ L(y,z,y). [hyper(171,a,2622,a(flip),b,2801,a(flip)),flip(a)]. 3297 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(752(a,1),2857(a,1,1,1))]. 3300 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(171,a,2777,a,b,3297,a(flip)),flip(a)]. 3301 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(67,a,3297,a(flip),b,2951,a),flip(a)]. 3303 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(2921,a,2954,a(flip))]. 3304 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(3303(a,1),19(a,1))]. 3305 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(3201(a,1),2927(a,1))]. 3306 K(x \ 1,y) != z | K(u / (x * u),y) = z. [para(15(a,1),3305(a,1,1,1))]. 3307 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(3151,a,2083,a),flip(a)]. 3308 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(171,a,42,a,b,3160,a)]. 3311 K(x,x * y) * (z * a(u,w,u)) = K(x,y) * z. [para(775(a,1),3181(a,1,2))]. 3313 (x / (x / y)) \ L(y,z,y) = K(y,x). [hyper(171,a,442,a(flip),b,3296,a(flip))]. 3315 (x * K(y,x)) \ L(x,z,x) = K(x,x * y). [para(2739(a,1),3313(a,1,1))]. 3316 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(3092(a,1),3308(a,1,1,1,2))]. 3319 a(x,y,x) = K(z,u) * K(z * u,z). [hyper(3057,a,3311,a)]. 3320 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(2791(a,2),2847(a,1))]. 3321 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(2886(a,1),260(a,1,1))]. 3322 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(2751(a,1),2928(a,1,1))]. 3323 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(63(a,1),3322(a,1,1,1)),flip(a)]. 3324 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(3322(a,1),96(a,1,1))]. 3325 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(723(a,1),3322(a,1,1,1)),flip(a)]. 3326 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(3323(a,1),3322(a,1,1)),flip(a)]. 3327 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(171,a,829,a(flip),b,3325,a(flip))]. 3328 R(K(x,y),z,x \ 1) = K(x,y). [hyper(171,a,736,a(flip),b,3327,a)]. 3329 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(3327(a,1),235(a,1)),flip(b)]. 3330 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(3328(a,1),96(a,1,1)),flip(a)]. 3331 K(x \ 1,y) != z | K(1 / x,y) = z. [para(63(a,1),3329(a,1,1,1))]. 3333 K(R(x,y,x),z) != u | K(x,z) = u. [para(754(a,2),3329(a,1,1))]. 3334 K(x,y \ 1) != z | K(y,x) = z. [para(2913(a,1),3329(a,1))]. 3335 R(K(x,y),z,x \ 1) != u | K(x,y) = u. [para(3327(a,2),3329(a,1))]. 3336 K(x,y) != z | K(y \ 1,x) = z. [para(723(a,1),3334(a,1,2))]. 3337 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(2978(a,1),3334(a,1,2))]. 3339 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(1121(a,1),3333(a,1,1))]. 3340 K(R(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(1666(a,2),3333(a,1,1))]. 3341 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(3260(a,2),3331(a,1))]. 3342 K(T(x * y,x),z) != u | K(y * x,z) = u. [para(1016(a,1),3339(a,1,1))]. 3343 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(1051(a,2),3339(a,1,1))]. 3344 K(x * y,x) != z | K(y * x,x) = z. [para(2616(a,1),3342(a,1))]. 3345 K(x,K(y,z)) != u | K(K(z,y) * x,x) = u. [para(3019(a,1),3344(a,1))]. 3346 K(1 / x,y) != z | K(x \ 1,y) = z. [para(122(a,1),3343(a,1,1,1))]. 3347 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(834(a,1),3343(a,1,1))]. 3348 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(3259(a,1),3346(a,1))]. 3349 K((T(x,y) / y) / T(z,y \ x),u) != w | K(z \ (T(x,y) / y),u) = w. [para(1153(a,1),3347(a,1,1,2))]. 3350 K(x \ y,x) != z | K((x / y) \ 1,x) = z. [para(2620(a,1),3348(a,1))]. 3351 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(171,a,1631,a(flip),b,2929,a(flip)),flip(a)]. 3352 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(100(a,1),2929(a,1,2))]. 3353 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3035(a,1),2935(a,2,2,1))]. 3354 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(2935(a,2),2938(a,1,2))]. 3355 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(73,a,3081,a)]. 3356 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1408(a,1),3148(a,1,1))]. 3357 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(1039(a,1),3187(a,1,2))]. 3358 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(2310(a,1),3188(a,1,2))]. 3359 K(x,((y * z) \ z) \ 1) \ (y * z) = T(T(y,x) * z,y * z). [para(3250(a,1),3051(a,1,1)),flip(a)]. 3360 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(16(a,1),3255(a,1,1,1)),flip(a)]. 3361 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(3258(a,1),3286(a,1,1,2))]. 3362 (x / (x / y)) / ((y \ x) * y) = y / x. [para(2738(a,2),3361(a,1,1))]. 3363 (x / y) \ (y / (y / x)) = (x \ y) * x. [para(3362(a,1),63(a,1,1))]. 3366 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(2865(a,1),3287(a,1,1,2))]. 3368 L(x \ 1,y,K(x,z)) = x \ 1. [hyper(298,a,3330,a)]. 3369 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(183,a,3330,a)]. 3371 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(3368(a,1),536(a,1,1)),flip(a)]. 3372 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(63(a,1),3354(a,1,2,1,1))]. 3373 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(723(a,1),3354(a,1,2,1,1))]. 3374 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(252(a,1),3355(a,1,2,2,1,2))]. 3375 (K(x,y) \ z) * L(u,z,K(y,x)) = K(x,y) \ (z * u). [hyper(171,a,3043,a,b,3058,a)]. 3376 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(67,a,3043,a,b,3058,a)]. 3377 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(3043(a,1),3059(a,1,1))]. 3378 (x * K(y,x)) \ z = K(x,y) * (x \ z). [hyper(2917,a,3060,a)]. 3379 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(3060(a,1),2917(a,1)),flip(b)]. 3380 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(2741(a,2),3378(a,1,1))]. 3381 ((x * y) / x) \ z = K(y,x) * (y \ z). [para(2764(a,2),3378(a,1,1))]. 3382 ((x * y) / x) \ (y * z) = K(y,x) * z. [para(13(a,1),3381(a,2,2))]. 3383 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(171,a,2770,a,b,3382,a)]. 3386 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(171,a,1204,a(flip),b,3380,a),flip(a)]. 3388 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(1534(a,1),3198(a,1,2))]. 3389 T(x,y) \ T(z * T(z \ x,u),y) != w | K((T(x,y) \ T(z,y)) \ 1,u) = w. [para(1940(a,1),3198(a,1,2))]. 3390 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(3238(a,1),1603(a,1,1))]. 3391 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(751(a,1),3241(a,1,2,2)),flip(a)]. 3392 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(1173(a,1),3241(a,2,1))]. 3394 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(171,a,1595,a(flip),b,3391,a)]. 3396 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(3325(a,1),3391(a,2,2))]. 3398 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(3254,a,3191,a),flip(a)]. 3399 x * K(y,(x \ z) \ 1) != u * x | K(y,x / z) = u. [para(3398(a,1),140(a,1,2)),flip(b)]. 3400 L(x \ y,x,K(z,u)) = (K(u,z) \ x) \ (K(u,z) \ y). [para(14(a,1),3376(a,1,2,2)),flip(a)]. 3401 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). [para(89(a,1),3376(a,1,2,2))]. 3402 K(x,(y / z) \ 1) = K(x,z / y). [hyper(3399,a,3287,a(flip)),flip(a)]. 3403 K(x,1 / (y / z)) = K(x,z / y). [hyper(3083,a,3402,a)]. 3404 K(x,(y / z) \ 1) = K(x,z / y) * 1. [hyper(171,a,12,a,b,3402,a)]. 3405 K(x,y / (z * y)) = K(x,z \ 1). [para(15(a,1),3402(a,1,2,1)),flip(a)]. 3406 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(97(a,2),3402(a,1,2,1))]. 3407 K(x,y / (z * y)) = K(x,1 / z). [para(15(a,1),3403(a,1,2,2)),flip(a)]. 3408 K(x,T(y,z / y) / z) = K(x,1 / (y \ z)). [para(920(a,1),3403(a,1,2,2)),flip(a)]. 3409 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(3403(a,1),2967(a,1))]. 3410 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(3407(a,1),2814(a,1,2))]. 3411 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(3404(a,2),76(a,1)),flip(b)]. 3414 K(x,T(y,x / y) / x) = K(x,y / x). [hyper(171,a,3079,a(flip),b,3408,a)]. 3415 K(x,y / x) * T(y,x / y) = x * (T(y,x / y) / x). [para(3414(a,1),2892(a,1,1))]. 3416 L(x \ (y * z),x,K(z,y)) = (K(y,z) \ x) \ (z * y). [para(2890(a,1),3400(a,2,2))]. 3417 L(x \ T(y,z),x,K(y,z)) = (K(z,y) \ x) \ T(T(y,z),z). [para(2828(a,1),3400(a,2,2))]. 3418 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(2751(a,1),2939(a,1,1,2))]. 3419 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(73,a,3418,a)]. 3420 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(3419(a,1),1566(a,1,1)),flip(a)]. 3421 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(927,a,2973,a(flip)),flip(a)]. 3422 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(928,a,2974,a(flip)),flip(a)]. 3423 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(3010(a,1),3091(a,1,1,1)),flip(a)]. 3424 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(2783(a,1),3147(a,1,1))]. 3425 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(171,a,3322,a(flip),b,3424,a(flip)),flip(a)]. 3426 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(171,a,2542,a(flip),b,3424,a(flip))]. 3427 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(723(a,1),3424(a,1,1,2)),flip(a)]. 3428 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(3402(a,1),3424(a,1,1)),flip(a)]. 3429 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),3426(a,1,2,1))]. 3430 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(3427(a,1),2793(a,2,2))]. 3431 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(171,a,3406,a(flip),b,3428,a(flip))]. 3432 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(335(a,1),3428(a,1,2,1)),flip(a)]. 3433 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(391(a,1),3428(a,1,2)),flip(a)]. 3434 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),3431(a,2,2,1))]. 3435 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),3431(a,2,2,2))]. 3436 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(60(a,1),3431(a,1,1,2)),flip(a)]. 3437 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(715(a,1),3431(a,1,1,2))]. 3438 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(2626(a,1),3435(a,1,1))]. 3439 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(95(a,2),3436(a,1,2))]. 3440 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),3439(a,1,2,2)),flip(a)]. 3441 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(32(a,2),3439(a,1,2,2)),flip(a)]. 3442 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(118(a,1),3439(a,1,2,2)),flip(a)]. 3443 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(2955(a,1),3439(a,1,2,2)),flip(a)]. 3444 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(3335,a,3440,a),flip(a)]. 3445 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(171,a,3322,a(flip),b,3440,a(flip)),flip(a)]. 3446 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(171,a,2542,a(flip),b,3440,a(flip))]. 3447 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(3444(a,1),3241(a,1,2)),flip(a)]. 3448 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(171,a,3402,a,b,3438,a)]. 3449 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(171,a,2542,a(flip),b,3438,a(flip))]. 3451 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1748(a,1),3449(a,1,2)),flip(a)]. 3452 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(3430(a,1),3300(a,2,1))]. 3453 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(344(a,1),3429(a,1,2,1)),flip(a)]. 3454 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(60(a,1),3432(a,1,1,2)),flip(a)]. 3455 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(3448(a,1),42(a,2,1))]. 3456 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(2308(a,1),3247(a,1,2)),flip(a)]. 3457 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(42(a,2),3248(a,2,2))]. 3458 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(171,a,51,a(flip),b,3295,a)]. 3460 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(2936(a,1),3351(a,1,1))]. 3461 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(171,a,3357,a(flip),b,3358,a(flip))]. 3462 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(78,a,3360,a),flip(a)]. 3463 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),3366(a,2,2,2,1))]. 3465 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(273(a,1),3415(a,1,1,2))]. 3466 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(3425(a,1),3290(a,1,1))]. 3467 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(171,a,1595,a(flip),b,3447,a)]. 3468 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(719(a,1),3451(a,1,2,1))]. 3469 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [para(718(a,1),3462(a,1,1,1,1))]. 3470 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(67,a,3467,a,b,3106,a)]. 3471 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(3305,a,3469,a)]. 3472 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(2862,a,994,a)]. 3473 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(171,a,1948,a,b,2870,a(flip)),flip(a)]. 3474 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(2971(a,1),3047(a,1,2))]. 3475 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(2971(a,1),3055(a,1,2))]. 3476 ((x \ 1) * x) \ ((x * (1 / x)) \ y) = y. [hyper(67,a,3087,a(flip),b,1186,a(flip))]. 3478 ((x \ 1) * x) \ y = (x * (1 / x)) * y. [para(13(a,1),3476(a,1,2))]. 3480 ((x \ 1) * x) \ y = y * (x * (1 / x)). [hyper(171,a,1043,a(flip),b,3478,a)]. 3482 (((x \ 1) * x) \ y) \ z = y \ ((x * (1 / x)) \ z). [para(3478(a,2),1221(a,1,1))]. 3484 (((x \ 1) * x) \ y) \ z = (x * (1 / x)) \ (y \ z). [para(3480(a,2),1187(a,1,1))]. 3486 (x * (1 / x)) \ (y \ z) = y \ ((x * (1 / x)) \ z). [hyper(171,a,3482,a(flip),b,3484,a(flip))]. 3488 ((x \ 1) * x) \ (y \ ((x * (1 / x)) \ z)) = y \ z. [para(3486(a,1),3476(a,1,2))]. 3490 ((x \ 1) * x) \ (y \ (x * z)) = y \ (T(x,x \ 1) * z). [para(1264(a,1),3488(a,1,2,2))]. 3492 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(3199,a,2467,a(flip)),flip(a)]. 3493 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2751(a,1),3199(a,1,1))]. 3494 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(3493,a,xx),flip(a)]. 3495 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(171,a,817,a(flip),b,3494,a)]. 3496 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(718(a,2),3494(a,1,1,1))]. 3497 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(723(a,1),3494(a,1,1,1)),flip(a)]. 3498 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1800(a,1),3494(a,1,1)),flip(a)]. 3499 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(3494(a,1),2462(a,1,1))]. 3500 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(3219(a,1),3494(a,1,1)),flip(a)]. 3501 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(3495(a,1),89(a,1,2))]. 3502 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(171,a,747,a,b,3496,a)]. 3503 T(x,L(K(y,x),z,u)) = x. [para(3497(a,1),1590(a,1,2))]. 3504 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(3497(a,1),2978(a,1,1)),flip(a)]. 3505 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(727(a,1),3502(a,1,1,1)),flip(a)]. 3506 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(3505(a,1),2979(a,1,2)),flip(a)]. 3507 R(x,y,K(x \ 1,z)) = x. [hyper(2693,a,3501,a)]. 3508 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(3507(a,1),42(a,2,1))]. 3509 R(x \ 1,y,K(x,z)) = x \ 1. [para(723(a,1),3507(a,1,3,1))]. 3510 R(x,y,K(z,x)) = x. [para(2913(a,1),3507(a,1,3))]. 3511 (x * y) * K(z,x) = x * (y * K(z,x)). [para(3510(a,1),96(a,1,1)),flip(a)]. 3512 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(3510(a,1),328(a,1,1,1)),flip(a)]. 3513 R(x,y,K(x,z)) = x. [para(2913(a,1),3510(a,1,3))]. 3514 R(T(x,y),z,K(x,u)) = T(x,y). [para(3513(a,1),42(a,2,1))]. 3515 (x * y) * K(x,z) = x * (y * K(x,z)). [para(3513(a,1),96(a,1,1)),flip(a)]. 3516 (x \ 1) * K(x,y) = x \ K(x,y). [para(3513(a,1),264(a,1,1)),flip(a)]. 3517 x \ (y * K(x,z)) = (x \ y) * K(x,z). [para(3513(a,1),319(a,1,1))]. 3518 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(3513(a,1),327(a,1,1,1)),flip(a)]. 3519 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(3513(a,1),328(a,1,1,1)),flip(a)]. 3520 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(3513(a,1),329(a,1,1,1)),flip(a)]. 3521 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(3509(a,1),96(a,1,1)),flip(a)]. 3522 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [para(3514(a,1),264(a,1,1)),flip(a)]. 3524 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(171,a,3420,a(flip),b,3508,a(flip))]. 3526 T(x,y * K(z,x)) = T(x,y). [para(2913(a,1),3524(a,1,2,2))]. 3527 T(x,x \ K(y,x)) = T(x,x \ 1). [hyper(171,a,2601,a(flip),b,3526,a(flip)),flip(a)]. 3528 T(x,y * K(x,z)) = T(x,y). [para(2913(a,1),3526(a,1,2,2))]. 3529 K(x,y * K(x,z)) = x \ T(x,y). [hyper(67,a,3528,a(flip),b,2793,a(flip)),flip(a)]. 3530 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(3528(a,1),147(a,1,2,1))]. 3531 T(x * K(y,z),L(T(y,x),u,w)) != v5 | T(x * K(y,z),L(y,u,w)) = v5. [para(3528(a,1),941(a,1,2,1))]. 3532 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3527(a,1),160(a,1,2))]. 3533 K(x,y * K(x,z)) = K(x,y). [hyper(171,a,2752,a,b,3529,a)]. 3534 K(x,y * K(x,z)) != u | K(x,y) = u. [para(3529(a,2),2847(a,1))]. 3535 K(x,y * K(z,x)) = K(x,y). [para(2914(a,1),3533(a,1,2,2))]. 3536 K(x,y \ T(z,x)) = K(x,y \ z). [para(1503(a,1),3535(a,1,2))]. 3537 K(x \ 1,y * K(x,z)) = K(x \ 1,y). [para(2914(a,1),3535(a,1,2,2))]. 3538 K(x * K(y,z),z) = 1 / K(z,x). [para(3535(a,1),2979(a,1,2)),flip(a)]. 3539 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [hyper(171,a,1461,a,b,3536,a(flip)),flip(a)]. 3540 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(171,a,1457,a(flip),b,3536,a(flip)),flip(a)]. 3542 K(x * K(y,z),z) = K(x,z). [hyper(171,a,2979,a(flip),b,3538,a)]. 3543 K(x * K(y,z),z) != u | K(x,z) = u. [para(3538(a,2),2981(a,1))]. 3544 K(x * T(y,z),z) = K(x * y,z). [para(1506(a,1),3542(a,1,1))]. 3547 K(x * K(y,z),y) = K(x,y). [para(2913(a,1),3542(a,1,1,2))]. 3548 K(x * L(K(y,z),u,w),z) = K(x,z). [para(3497(a,1),3542(a,1,1,2))]. 3549 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(3547(a,1),3242(a,1,1,1,2)),flip(a)]. 3550 K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. [para(2216(a,1),3534(a,1,2))]. 3551 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(2258(a,1),3534(a,1,2))]. 3552 K(x,y * K(z,x)) != u | K(x,y) = u. [para(2914(a,1),3534(a,1,2,2))]. 3554 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1503(a,1),3543(a,1,1))]. 3555 K((1 / (1 / x)) * y,z) != u | K(x * y,z) = u. [para(2232(a,1),3543(a,1,1))]. 3556 K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. [para(2255(a,1),3543(a,1,1))]. 3557 K(x / y,x) != z | K(y \ x,x) = z. [para(3030(a,1),3543(a,1,1))]. 3558 K(x * (y * K(z,u)),u) = K(x * y,u). [para(89(a,1),3548(a,1,1))]. 3559 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1503(a,1),3552(a,1,2))]. 3560 K(x,T(y,x)) != z | K(x,y) = z. [para(2793(a,2),3552(a,1,2))]. 3561 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),3560(a,1,2))]. 3563 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(707(a,1),3560(a,1,2))]. 3564 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(2616(a,2),3560(a,1))]. 3565 L(K(x,y),z,y) = K(x,y). [hyper(298,a,3511,a)]. 3566 (x * y) * T(K(z,x),u) = x * (y * T(K(z,x),u)). [para(3565(a,1),302(a,1,2,1))]. 3567 L(K(x,y),z,x) = K(x,y). [hyper(298,a,3515,a)]. 3568 (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). [hyper(67,a,3567,a(flip),b,730,a)]. 3569 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3532(a,1),1563(a,1,1))]. 3570 K(x \ 1,y * x) = K(x \ 1,x * y). [para(84(a,1),3537(a,1,2)),flip(a)]. 3571 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(2793(a,2),3537(a,1,2))]. 3573 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3571(a,1),2935(a,1,1))]. 3574 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(3539(a,1),2793(a,2,2))]. 3575 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(1503(a,1),3558(a,1,1,2))]. 3576 K(x * (y * K(z,u)),z) = K(x * y,z). [para(2913(a,1),3558(a,1,1,2,2))]. 3577 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(3570(a,2),3264(a,2,2))]. 3578 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),3554(a,1,1,2))]. 3579 K(x \ (y * z),z) != u | K(x \ (z * y),z) = u. [para(705(a,1),3554(a,1,1,2))]. 3580 K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u. [para(709(a,1),3554(a,1,1,2))]. 3582 K(x,y \ ((x \ z) * x)) != u | K(x,y \ z) = u. [para(709(a,1),3559(a,1,2,2))]. 3583 K(x,y \ ((z \ x) \ x)) != u | K(x,y \ z) = u. [para(794(a,1),3559(a,1,2,2))]. 3585 K(x,y) * K(z,z \ 1) = y * (K(x,y) / y). [para(3569(a,1),1331(a,2,2))]. 3586 K(x,T(y,y \ 1) \ z) != u | K(x,y \ z) = u. [para(101(a,2),3551(a,1,2,1))]. 3587 K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. [para(60(a,1),3555(a,1,1,1,2))]. 3589 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(3578,a,xx),flip(a)]. 3590 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(16(a,1),3589(a,1,1,2,2)),flip(a)]. 3592 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(3590(a,1),3239(a,1,1,1,2))]. 3593 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(3579,a,xx),flip(a)]. 3594 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(14(a,1),3593(a,2,1,2))]. 3595 K(x \ ((y \ 1) * y),z) != u | K(x \ 1,z) = u. [para(1123(a,1),3580(a,1,1,2))]. 3598 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(298,a,3512,a)]. 3599 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(298,a,3519,a)]. 3600 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(387,a,3520,a),flip(a)]. 3601 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(73,a,3600,a)]. 3603 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(171,a,2237,a(flip),b,3573,a(flip))]. 3605 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(2751(a,1),3200(a,1,1))]. 3607 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(751(a,1),3324(a,1,1,1,1)),flip(a)]. 3608 L(x,y,K(x \ 1,z)) = x. [hyper(298,a,3607,a)]. 3609 L(x,y,K(z,x)) = x. [para(2913(a,1),3608(a,1,3))]. 3610 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(3609(a,1),45(a,1,1)),flip(a)]. 3611 L(x,y,K(x,z)) = x. [para(2913(a,1),3609(a,1,3))]. 3612 (K(x,y) * z) * x = K(x,y) * (z * x). [para(3611(a,1),89(a,1,2))]. 3613 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(3611(a,1),303(a,1,2,1))]. 3614 L(x,y,R(K(x,z),u,w)) = x. [para(3427(a,1),3611(a,1,3))]. 3615 R(K(x,y),z,x) = K(x,y). [hyper(2693,a,3612,a)]. 3616 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(171,a,2946,a(flip),b,3612,a)]. 3617 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(3612(a,1),130(a,2,1)),flip(a)]. 3618 K(x,R(y,z,x)) = K(x,y). [hyper(171,a,3440,a(flip),b,3615,a(flip)),flip(a)]. 3619 T(x,R(y,z,x)) = x * K(x,y). [para(3618(a,1),2793(a,2,2))]. 3620 T(x,R(y,z,x)) = T(x,y). [hyper(171,a,2793,a,b,3619,a)]. 3621 T(x,(y * x) / z) = T(x,y / (z / x)). [para(338(a,1),3620(a,1,2))]. 3624 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(138,a,3616,a,b,2768,a)]. 3626 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(2770(a,2),3616(a,1,1))]. 3627 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(2945(a,1),3616(a,1,1)),flip(a)]. 3628 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(14(a,1),3624(a,1,1)),flip(a)]. 3629 T(K(x,y) * z,x) != K(x,y) * u | T(z,x) = u. [para(3624(a,2),19(a,1))]. 3630 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(138,a,3626,a,b,622,a)]. 3632 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(464,a,3627,a),flip(a)]. 3634 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(13(a,1),3630(a,1,1,2)),flip(a)]. 3635 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1775(a,1),3634(a,1,2)),flip(a)]. 3636 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1898(a,1),3634(a,1,2)),flip(a)]. 3637 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(2693,a,3613,a)]. 3638 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(171,a,3435,a(flip),b,3637,a(flip)),flip(a)]. 3639 L(x \ (y * z),x,K(T(y,y * z) * z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [para(2976(a,1),3417(a,1,1,2))]. 3640 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(2782(a,1),2850(a,1,2,1))]. 3641 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(2877(a,1),3207(a,1))]. 3642 (1 / (1 / x)) / (y * z) = x / (((y \ 1) \ 1) * z). [para(2835(a,1),2907(a,1,2)),flip(a)]. 3643 (1 / (1 / x)) / (y * (T(y,z) \ 1)) = x / (T(y,z) \ ((y \ 1) \ 1)). [para(1729(a,1),3642(a,2,2))]. 3644 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(3566(a,1),2986(a,1,2))]. 3645 T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(3528(a,1),3002(a,1,1))]. 3646 T(x,y) / (T(x,y) * y) = x / (x * y). [para(2804(a,1),3645(a,2,2))]. 3648 (x / (x * y)) \ T(x,y) = T(x,y) * y. [para(3646(a,1),63(a,1,1))]. 3649 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(2950(a,1),3142(a,1,1,2)),flip(a)]. 3650 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(100(a,1),3249(a,2,2))]. 3651 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(171,a,1939,a(flip),b,3253,a(flip))]. 3653 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(374(a,1),3326(a,1,1,1)),flip(a)]. 3654 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(63(a,1),3372(a,2,1,1))]. 3655 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),3654(a,1,2,2)),flip(a)]. 3657 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(270,a,3655,a,b,xx),flip(a)]. 3658 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(723(a,1),3373(a,2,1,1))]. 3659 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),3658(a,1,2,2)),flip(a)]. 3660 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),3658(a,1,2,2))]. 3661 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(3659(a,2),154(a,1,2))]. 3662 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(3659(a,1),3047(a,1,2))]. 3663 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(3048(a,1),3662(a,1,2,2))]. 3664 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(3037,a,3661,a),flip(a)]. 3665 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(3048(a,1),3664(a,1,1)),flip(a)]. 3666 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(1116(a,1),3421(a,1,2))]. 3667 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(1116(a,1),3422(a,1,2))]. 3668 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(222,a,3460,a)]. 3669 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(257,a,3640,a)]. 3670 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(171,a,3167,a(flip),b,3644,a)]. 3671 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(138,a,3330,a,b,3660,a)]. 3672 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),3671(a,2,2))]. 3676 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [para(854(a,1),2842(a,2,2))]. 3677 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(171,a,2793,a,b,3676,a)]. 3679 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(3677(a,1),14(a,1,2)),flip(a)]. 3682 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [para(775(a,2),3679(a,1,1))]. 3684 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(2331,a,2940,a)]. 3685 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(2766(a,1),3684(a,1,2)),flip(a)]. 3686 R(x,K(y \ 1,z),z) = x. [hyper(1605,a,3685,a)]. 3687 R(x,K(y,z),z) = x. [para(63(a,1),3686(a,1,2,1))]. 3688 (x * K(y,z)) * z = x * (z * K(y,z)). [para(3687(a,1),1604(a,1,1)),flip(a)]. 3689 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(73,a,3688,a)]. 3690 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(480,a,3689,a)]. 3691 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(3689(a,1),179(a,1,2)),flip(b)]. 3692 L(x,K(y,x),z) = x. [para(1590(a,1),3690(a,1,1))]. 3693 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(3692(a,1),302(a,1,2,1))]. 3694 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(3692(a,1),303(a,1,2,1))]. 3696 L(x,K(x,y),z) = x. [para(2913(a,1),3692(a,1,2))]. 3697 L(x \ 1,K(x,y),z) = x \ 1. [para(2914(a,1),3692(a,1,2))]. 3698 L(T(x,y),K(x,z),u) = T(x,y). [para(3696(a,1),40(a,2,1))]. 3699 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(3696(a,1),304(a,1,2,1))]. 3700 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(3698(a,1),45(a,1,1)),flip(a)]. 3701 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(3698(a,1),499(a,1,2,1))]. 3702 R(x,K(y,z),T(z,u)) = x. [hyper(325,a,3693,a)]. 3703 (x * K(y,z)) * T(z,y) = x * z. [para(2761(a,1),3693(a,2,2))]. 3704 (x / T(y,z)) * y = x * K(z,y). [hyper(1556,a,3703,a)]. 3705 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(73,a,3703,a)]. 3706 (x / y) * K(z,y) = x / T(y,z). [hyper(68,a,16,a(flip),b,3703,a),flip(a)]. 3707 x / T(y \ x,z) = y * K(z,y \ x). [hyper(68,a,14,a(flip),b,3703,a)]. 3708 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,1548,a(flip),b,3703,a)]. 3709 (x * K(y,z)) / z = x / T(z,y). [hyper(78,a,3704,a)]. 3711 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(73,a,3708,a)]. 3712 ((x / y) * T(y,z)) \ x = K(z,y). [hyper(67,a,16,a(flip),b,3708,a)]. 3713 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(67,a,14,a(flip),b,3708,a)]. 3714 (x * T(y,z)) \ (x * y) != u | K(z,y) = u. [para(3708(a,1),203(a,1,2)),flip(b)]. 3715 (x * K(y,z)) * z = (x * z) * K(y,z). [para(3703(a,1),3708(a,1,1)),flip(a)]. 3716 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(102(a,1),3709(a,2,2))]. 3717 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(541(a,1),3713(a,1,1))]. 3718 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1547(a,1),3713(a,1,1))]. 3719 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1940(a,1),3713(a,1,1))]. 3720 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(3691,a,3715,a),flip(a)]. 3722 R(x,y,K(z,y)) = x. [hyper(325,a,3720,a)]. 3723 L(K(x,y),y,z) = K(x,y). [hyper(298,a,3720,a)]. 3724 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(218,a,3720,a),flip(a)]. 3725 (x * y) * K(z,y) = x * ((z * y) / z). [para(2764(a,2),3720(a,2,2))]. 3726 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(2806(a,1),3720(a,2,2))]. 3727 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(171,a,703,a(flip),b,3722,a(flip)),flip(a)]. 3728 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [para(3722(a,1),742(a,1,1)),flip(a)]. 3729 R(x,y,K(y,z)) = x. [para(2913(a,1),3722(a,1,3))]. 3730 R(x,y,K(y \ 1,z)) = x. [para(2913(a,2),3722(a,1,3))]. 3731 R(x,y * z,K(z,y)) = x. [para(3027(a,1),3722(a,1,3))]. 3732 R(x,y \ 1,K(z,y)) = x. [para(2913(a,1),3729(a,1,3))]. 3733 L(K(x,y),y,z) = K(x,y * K(x,u)). [hyper(171,a,3533,a,b,3723,a)]. 3735 a(x,y,K(z,y)) = 1. [hyper(34,a,3723,a)]. 3736 L(x \ T(x,y),y,z) = K(T(x,y),y). [para(2750(a,1),3723(a,1,1))]. 3737 a(x,y,K(y,z)) = 1. [para(2913(a,1),3735(a,1,3))]. 3738 a(x,y,K(z,z \ y)) = 1. [para(3025(a,2),3735(a,1,3))]. 3739 L(K(x,y),x,z) = K(x,y). [hyper(33,a,3737,a)]. 3740 (x * (y * z)) * K(z,y) = x * (z * y). [para(3731(a,1),332(a,1,1)),flip(a)]. 3741 L(K(x,x \ y),y,z) = K(x,x \ y). [hyper(33,a,3738,a)]. 3742 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(171,a,2978,a,b,3739,a)]. 3743 x \ ((x / y) * T(y,z)) = K(y,z). [hyper(171,a,2799,a(flip),b,3739,a(flip)),flip(a)]. 3744 L(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(3739(a,2),3348(a,1))]. 3745 L(K(x,y),x,z) != u | K(x,y) = u. [para(3742(a,2),2983(a,1))]. 3747 (x / y) * T(y,z) = x * K(y,z). [para(3743(a,1),14(a,1,2)),flip(a)]. 3748 (x / y) \ (x * K(y,z)) = T(y,z). [para(3743(a,1),55(a,1,2,2))]. 3749 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(2953(a,1),3743(a,1,2,1))]. 3750 x * T(x \ y,z) = y * K(x \ y,z). [hyper(407,a,3747,a)]. 3751 T(x,(x / y) / x) = T(x,1 / y). [hyper(138,a,3080,a(flip),b,3747,a)]. 3752 (x / T(y,z)) * K(y,z) = x / y. [hyper(171,a,1552,a(flip),b,3747,a(flip))]. 3754 (x * y) * K(y,z) = x * T(y,z). [para(15(a,1),3747(a,1,1)),flip(a)]. 3756 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(3747(a,1),575(a,1,2,1))]. 3757 (x * K(y,z)) * y = x * T(y,z). [para(3747(a,1),1551(a,1,1))]. 3758 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(3709(a,1),3747(a,1,1))]. 3759 (x * K(y,z)) \ x = K(z,y). [para(3747(a,1),3712(a,1,1))]. 3760 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(171,a,1459,a,b,3759,a),flip(a)]. 3761 (x * K(y,z)) * K(z,y) = x. [para(3759(a,1),14(a,1,2))]. 3762 x / K(y,z) = x * K(z,y). [para(3759(a,1),60(a,1,2))]. 3763 (x * K(y,z)) * K(z,y) != u | u = x. [para(3759(a,1),179(a,1,2))]. 3764 x / K(y,z) != u | x * K(z,y) = u. [para(3759(a,1),211(a,1,2)),flip(b)]. 3765 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(3759(a,1),91(a,1,1))]. 3766 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(3155(a,1),3759(a,1,1))]. 3767 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(3759(a,1),2982(a,2,1))]. 3768 (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) = K(z,x). [para(3522(a,1),3759(a,1,1))]. 3769 (x * (y * K(z,y))) \ (x * y) = K(y,z). [para(3720(a,1),3759(a,1,1))]. 3770 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(18,a,3516,a,b,3761,a)]. 3772 x * K(y,z) != u | u * K(z,y) = x. [para(3761(a,1),20(a,1)),flip(a)]. 3773 (x * K(y,z)) \ x != u | K(z,y) = u. [para(3761(a,1),203(a,1,2)),flip(b)]. 3774 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(3761(a,1),89(a,1,1))]. 3775 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(3761(a,1),451(a,1,1,2))]. 3777 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(3762(a,1),170(a,1,1))]. 3778 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(3762(a,1),1287(a,1,1,2))]. 3779 x / (K(y,z) \ 1) = x * K(y,z). [para(2978(a,2),3762(a,1,2))]. 3780 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(3762(a,1),3403(a,2,2))]. 3782 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(3751(a,1),3270(a,1,1))]. 3783 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(270,a,xx,b,3754,a),flip(a)]. 3786 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(3754(a,1),326(a,1,1))]. 3787 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(3754(a,1),3703(a,1,1))]. 3788 x \ (y * T(x,z)) = T(y * K(x,z),x). [hyper(270,a,xx,b,3757,a),flip(a)]. 3789 x * T(y * K(x,z),x) = y * T(x,z). [hyper(183,a,3757,a)]. 3791 (1 / x) * K(x,y) = K(x,y) / x. [hyper(68,a,2784,a,b,3757,a),flip(a)]. 3792 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(18,a,3632,a,b,3757,a),flip(a)]. 3793 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(3757(a,1),24(a,2,1,2)),flip(a)]. 3794 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(3757(a,1),130(a,2,1))]. 3795 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(3515(a,1),3757(a,1,1))]. 3796 (x \ (y * K(x,z))) * x = (x \ y) * T(x,z). [para(3517(a,2),3757(a,1,1))]. 3797 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(3720(a,1),3757(a,1,1))]. 3798 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(3770(a,1),97(a,2,2))]. 3799 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(138,a,3779,a(flip),b,3048,a),flip(a)]. 3801 L(K(x,y),y,z) != u | K(x,y) = u. [para(3733(a,2),3534(a,1))]. 3802 L(x \ T(x,T(y,x)),T(y,x),z) = K(x,y). [hyper(171,a,2526,a(flip),b,3736,a)]. 3805 L(x \ T(x,T(y,x)),T(y,x),z) != u | K(x,y) = u. [para(3736(a,2),3564(a,1))]. 3807 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(3708(a,1),3763(a,1,1)),flip(b)]. 3808 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(3752(a,1),3763(a,1,1)),flip(b)]. 3809 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(3241(a,1),3773(a,1,1))]. 3810 (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) != u | K(z,x) = u. [para(3522(a,1),3773(a,1,1))]. 3811 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(3519(a,1),3773(a,1,1))]. 3812 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(3720(a,1),3773(a,1,1))]. 3813 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [hyper(171,a,188,a(flip),b,3724,a)]. 3815 (x / y) * (z / (z / y)) = x * K(y \ z,y). [para(2738(a,2),3724(a,1,2))]. 3816 (x * ((y * z) / y)) * K(z,y) = x * z. [hyper(3772,a,3725,a)]. 3817 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [hyper(368,a,3725,a)]. 3818 R(x,K(y,x),z) = x. [hyper(2438,a,3727,a)]. 3819 (x * K(y,x)) * z = K(y,x) * (x * z). [hyper(171,a,3101,a,b,3727,a)]. 3820 ((x * y) / x) * z = y * (K(x,y) * z). [para(2764(a,2),3727(a,1,1))]. 3821 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(2806(a,1),3727(a,1,1)),flip(a)]. 3822 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(3727(a,1),2833(a,1,1))]. 3823 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(3818(a,1),329(a,1,1,1)),flip(a)]. 3824 R(x,K(x,y),z) = x. [para(2913(a,1),3818(a,1,2))]. 3825 R(T(x,y),K(x,z),u) = T(x,y). [para(3824(a,1),42(a,2,1))]. 3826 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(3824(a,1),328(a,1,1,1)),flip(a)]. 3827 R(x,x \ T(x,y),z) = x. [para(2385(a,1),3824(a,1,2))]. 3828 R(K(x,y),T(y,z),u) = K(x,y). [para(3827(a,1),3439(a,1,2)),flip(a)]. 3829 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(3825(a,1),329(a,1,1,1)),flip(a)]. 3830 R(K(x,y),y,z) = K(x,y). [para(99(a,1),3828(a,1,2))]. 3831 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(3535(a,1),3830(a,1,1))]. 3832 (x * (y * z)) * u != x * (z * y) | K(z,y) = u. [para(3740(a,1),19(a,1)),flip(a)]. 3833 T(x,y * (z * x)) = T(x,y * (x * z)). [para(3740(a,1),3526(a,1,2))]. 3834 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(3266,a,3750,a),flip(a)]. 3835 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(3252,a,3750,a)]. 3836 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(1082,a,3750,a),flip(a)]. 3837 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(585,a,3750,a)]. 3838 K(x / y,z) * x = x * K(y \ x,z). [hyper(171,a,2771,a,b,3750,a(flip)),flip(a)]. 3839 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(67,a,1576,a(flip),b,3750,a(flip))]. 3843 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(3750(a,2),203(a,1,2)),flip(b)]. 3844 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(721(a,1),3750(a,2,2,1))]. 3845 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(3750(a,1),1939(a,2,1))]. 3847 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(3750(a,2),3773(a,1,1))]. 3848 K(T(x,y),z) = T(K(x,z),y). [hyper(171,a,808,a(flip),b,3834,a(flip)),flip(a)]. 3849 x * K(T(y,x),z) = K(y,z) * x. [para(3848(a,2),100(a,1,2))]. 3850 T(K(x,y),R(x,z,u)) = K(x,y). [para(513(a,1),3848(a,1,1)),flip(a)]. 3851 T(K(x,y),K(z,x)) = K(x,y). [para(1590(a,1),3848(a,1,1)),flip(a)]. 3852 T(K(x,y),K(x,z)) = K(x,y). [para(2763(a,1),3848(a,1,1)),flip(a)]. 3853 T(K(x,y),K(y,z)) = K(x,y). [hyper(35,a,3851,a)]. 3854 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(3851(a,1),100(a,1,2)),flip(a)]. 3855 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(3851(a,1),182(a,1,2))]. 3856 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(3851(a,1),148(a,1,2,1)),flip(a)]. 3857 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(3851(a,1),258(a,1,2,1))]. 3859 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(3078,a,3852,a)]. 3860 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(3852(a,1),182(a,1,2))]. 3862 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(3853(a,1),182(a,1,2))]. 3863 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(3853(a,1),147(a,1,2,1)),flip(a)]. 3864 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(3853(a,1),148(a,1,2,1)),flip(a)]. 3865 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(3853(a,1),257(a,1,2,1))]. 3866 T(K(x,y),K(z,y)) = K(x,y). [para(2914(a,1),3853(a,1,2))]. 3867 K(x,y) * K(z,y) != u | K(z,y) * K(x,y) = u. [para(3866(a,1),182(a,1,2))]. 3868 K(x \ y,z * (y \ x)) = K(z,y \ x). [hyper(3274,a,3835,a),flip(a)]. 3869 K(x \ y,z) = K(z,y \ x). [hyper(3128,a,3835,a),flip(a)]. 3870 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(171,a,441,a(flip),b,3835,a)]. 3871 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(32(a,2),3835(a,1,1,1))]. 3872 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(91(a,2),3835(a,1,1,1))]. 3874 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(3835(a,1),2779(a,1,1))]. 3875 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(3835(a,1),2978(a,1,1)),flip(a)]. 3876 K(x \ y,z * (y \ x)) != u | K(z,y \ x) = u. [para(3835(a,1),3274(a,1))]. 3877 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(3835(a,1),3494(a,1,1)),flip(a)]. 3878 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(3835(a,1),3650(a,1,2))]. 3879 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(3129,a,3869,a)]. 3880 K(x,(y * z) \ y) = K(z,x). [hyper(171,a,441,a(flip),b,3869,a(flip))]. 3881 T(x \ y,K(z,y \ x)) = x \ y. [para(3869(a,1),2763(a,1,2))]. 3882 K(x \ y,z) != u | K((y \ x) \ 1,z) = u. [para(3869(a,2),3336(a,1))]. 3883 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(3869(a,1),3533(a,1,2,2))]. 3884 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(3869(a,1),3547(a,1,1,2))]. 3885 R(x,y \ z,K(u,z \ y)) = x. [para(3869(a,1),3729(a,1,3))]. 3886 K(x,(y * z) \ y) = K(x,z \ 1). [hyper(171,a,2914,a,b,3880,a)]. 3887 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(3885(a,1),319(a,1,1))]. 3888 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(3772,a,3849,a)]. 3889 x * K(T(y,x),z) = K(z,y) \ x. [hyper(171,a,3043,a,b,3849,a)]. 3890 K(x / y,z) * y = y * K(y \ x,z). [para(102(a,1),3849(a,1,2,1)),flip(a)]. 3891 K(x * y,z) * x = x * K(y * x,z). [para(705(a,1),3849(a,1,2,1)),flip(a)]. 3892 T(x,K(y,x) * z) = T(x,z). [para(3849(a,1),3526(a,1,2))]. 3893 K(x,K(y,x) * z) = K(x,z). [para(3849(a,1),3535(a,1,2))]. 3894 K(K(x,y) * z,y) = K(z,y). [para(3849(a,1),3542(a,1,1))]. 3895 (K(x,y) * z) \ z = K(y,T(x,z)). [para(3849(a,1),3759(a,1,1))]. 3896 T(x,K(x,y) * z) = T(x,z). [para(2913(a,1),3892(a,1,2,1))]. 3897 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(2914(a,1),3892(a,1,2,1))]. 3898 T(x,T(x,y) \ z) = T(x,x \ z). [para(3052(a,1),3892(a,1,2))]. 3899 K(x,K(y,x) \ z) = K(x,z). [para(14(a,1),3893(a,1,2)),flip(a)]. 3900 K(x,K(x,y) * z) = K(x,z). [para(2913(a,1),3893(a,1,2,1))]. 3901 K(x,T(x,y) * z) = K(x,x * z). [para(2773(a,1),3893(a,1,2)),flip(a)]. 3902 K(x * y,K(y,x) * z) = K(x * y,z). [para(3027(a,1),3893(a,1,2,1))]. 3903 K(x,K(x,y) \ z) = K(x,z). [para(3043(a,2),3893(a,1,2))]. 3904 K(x,T(x,y) \ z) = K(x,x \ z). [para(3052(a,1),3893(a,1,2))]. 3905 K(K(x,y) * z,x) = K(z,x). [para(2913(a,1),3894(a,1,1,1))]. 3906 K(T(x,y) * z,x) = K(x * z,x). [para(2773(a,1),3894(a,1,1)),flip(a)]. 3907 K(K(x,y) \ z,x) = K(z,x). [para(3043(a,2),3894(a,1,1))]. 3908 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(171,a,3503,a(flip),b,3896,a)]. 3909 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(3896(a,1),3155(a,1,1))]. 3910 K(x,K(y \ x,y) * z) = K(x,z). [para(3013(a,2),3900(a,1,2,1))]. 3911 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(3427(a,1),3900(a,1,2,1))]. 3912 K(K(x \ y,x) * z,y) = K(z,y). [para(3013(a,2),3905(a,1,1,1))]. 3914 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(3427(a,1),3905(a,1,1,1))]. 3915 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(3905(a,1),3739(a,1,1))]. 3917 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(67,a,3870,a(flip),b,2751,a),flip(a)]. 3918 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(3870(a,1),2852(a,1,2))]. 3919 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(3083,a,3879,a)]. 3920 K(x,(y \ (z \ y)) \ 1) = K(x,T(z,y)). [hyper(171,a,1442,a(flip),b,3879,a)]. 3921 T(K(x,y / z),y) = K(x,z \ y). [hyper(171,a,3398,a,b,3879,a(flip)),flip(a)]. 3922 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),3879(a,2,2))]. 3923 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),3879(a,1,2,1)),flip(a)]. 3924 K(x,y \ (y / z)) = K(x,z \ 1). [para(63(a,1),3879(a,1,2,1)),flip(a)]. 3925 K(x,(y \ (y / z)) \ 1) = K(x,z). [para(63(a,1),3879(a,2,2))]. 3926 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(268(a,1),3879(a,1,2,1)),flip(a)]. 3927 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(484(a,1),3879(a,1,2,1)),flip(a)]. 3928 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(3879(a,1),3193(a,1,2)),flip(a)]. 3929 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(3879(a,1),3424(a,1,1)),flip(a)]. 3930 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(3881(a,1),100(a,1,2))]. 3931 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(3886(a,1),2635(a,1,2)),flip(a)]. 3932 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(3889(a,1),3543(a,1,1))]. 3933 K(x,K(x,y) \ z) != u | K(x,z) = u. [para(3889(a,1),3552(a,1,2))]. 3934 K(x,T(y,z)) = T(K(x,y),z). [hyper(171,a,3064,a(flip),b,3895,a(flip))]. 3935 K(T(x,y),z) = K(x,T(z,y)). [hyper(171,a,3848,a,b,3934,a),flip(a)]. 3936 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(171,a,3834,a,b,3934,a),flip(a)]. 3937 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(171,a,3222,a,b,3934,a),flip(a)]. 3938 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(171,a,2996,a,b,3934,a),flip(a)]. 3939 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(171,a,2995,a,b,3934,a),flip(a)]. 3940 K(x,T(y,K(x,z))) = K(x,y). [hyper(171,a,3852,a(flip),b,3934,a)]. 3941 K(x,T(y,K(z,x))) = K(x,y). [hyper(171,a,3851,a(flip),b,3934,a)]. 3942 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(171,a,3850,a(flip),b,3934,a)]. 3943 T(K(x,y),z * y) = K(x,T(y,z)). [hyper(171,a,1443,a(flip),b,3934,a(flip))]. 3944 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),3934(a,1,2))]. 3945 x * K(y,T(z,x)) = K(y,z) * x. [para(3934(a,2),100(a,1,2))]. 3946 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(3934(a,2),147(a,1,2,1))]. 3948 x * T(K(x,y),z) = T(x,T(y,z)). [para(3934(a,1),2793(a,2,2)),flip(a)]. 3949 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(3934(a,2),3167(a,1,2))]. 3950 K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. [para(3934(a,2),3168(a,1,2))]. 3951 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(3934(a,2),2997(a,2,1))]. 3952 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(3934(a,2),3292(a,1,1))]. 3953 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(3934(a,2),2743(a,2,2))]. 3954 K(x * y,T(z,x)) = K(y * x,z). [hyper(3342,a,3935,a),flip(a)]. 3955 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(171,a,1810,a(flip),b,3935,a)]. 3956 K(T(x,y),y / z) = K(x,z \ y). [hyper(171,a,1435,a(flip),b,3935,a)]. 3957 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(171,a,3759,a,b,3935,a(flip)),flip(a)]. 3958 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),3935(a,2,2))]. 3959 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),3935(a,1,1))]. 3960 K(x / y,T(z,y)) = K(y \ x,z). [para(102(a,1),3935(a,1,1)),flip(a)]. 3961 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(282(a,1),3935(a,1,1)),flip(a)]. 3962 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(194(a,1),3935(a,1,1))]. 3963 K(x / y,T(z,x)) = K(y \ x,z). [para(798(a,1),3935(a,1,1)),flip(a)]. 3964 T(x,K(y,T(x,z))) = x. [para(3935(a,1),1590(a,1,2))]. 3965 x / K(y,T(x,z)) = T(x,T(y,z)). [para(3935(a,1),2757(a,2,2)),flip(a)]. 3966 K(T(x,y),K(y,z)) = K(x,K(y,z)). [para(2774(a,1),3935(a,2,2))]. 3967 K(x,T(y,z)) \ x = x * K(y,T(x,z)). [para(3935(a,1),2969(a,2,2))]. 3968 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(3935(a,1),3043(a,1,1))]. 3969 K(x,T(y,z)) \ (y * u) = T(y,T(x,z)) * u. [para(3935(a,1),2958(a,1,1))]. 3970 x \ (T(x,T(y,z)) * u) = K(y,T(x,z)) \ u. [para(3935(a,1),3049(a,2,1))]. 3972 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(3935(a,1),3071(a,1,1))]. 3973 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(3935(a,1),2855(a,1,1))]. 3974 T(x,y) * K(x,T(z,y)) != u * w | u \ T(T(x,y),z) = w. [para(3935(a,1),2797(a,1,2))]. 3975 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(3935(a,1),3342(a,1))]. 3976 R(x,y,K(z,T(x,u))) = x. [para(3935(a,1),3510(a,1,3))]. 3977 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(3935(a,1),3705(a,1,1,2))]. 3978 a(x,y,K(z,T(y,u))) = 1. [para(3935(a,1),3735(a,1,3))]. 3979 R(x,y \ 1,K(z,T(y,u))) = x. [para(3935(a,1),3732(a,1,3))]. 3980 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(3935(a,1),3762(a,1,2))]. 3981 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(3935(a,1),3764(a,1,2))]. 3982 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(3935(a,1),3773(a,1,1,2))]. 3983 (K(x,y) * z) * K(T(y,z),x) = z. [para(3935(a,2),3888(a,1,2))]. 3984 T(x / y,K(z,y \ x)) = x / y. [para(102(a,1),3964(a,1,2,2))]. 3985 T(x,K(y,y * T(x,z))) = x. [para(3028(a,2),3964(a,1,2))]. 3986 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(3976(a,1),328(a,1,1,1)),flip(a)]. 3987 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(33,a,3978,a)]. 3988 a(x,T(y,z),K(u,y)) = 1. [para(953(a,1),3978(a,1,3,2))]. 3989 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,3988,a)]. 3990 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(42(a,2),3940(a,1,2))]. 3991 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(3848(a,2),3940(a,1,2))]. 3992 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(35,a,3985,a)]. 3993 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(102(a,1),3942(a,1,2)),flip(a)]. 3994 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(2765(a,1),3979(a,1,3,2))]. 3995 (x * T(y,z)) \ (x * R(y,u,y)) = K(y * z,y). [hyper(171,a,3131,a(flip),b,3989,a(flip)),flip(a)]. 3996 T(x / y,(x / y) \ z) = T(x / y,(y \ x) \ z). [para(102(a,1),3898(a,1,2,1)),flip(a)]. 3997 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(102(a,1),3904(a,1,2,1)),flip(a)]. 3999 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(3912(a,1),2793(a,2,2)),flip(a)]. 4000 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(28(a,2),3919(a,1,2,2)),flip(a)]. 4001 K(x,K(y,x / z)) * K(y,z \ x) = K(y,x / z). [para(3921(a,1),2761(a,1,2))]. 4002 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(171,a,3723,a,b,3922,a),flip(a)]. 4003 K(x,y \ (y / z)) = K(x,u / (z * u)). [hyper(171,a,3405,a,b,3924,a)]. 4004 K(x,T(y,z / y)) = T(K(x,y),z). [para(16(a,1),3943(a,1,2)),flip(a)]. 4005 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,3287,a(flip),b,3945,a)]. 4006 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(3945(a,1),19(a,1))]. 4007 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),3945(a,1,2,2))]. 4008 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(3945(a,1),90(a,1,2,2)),flip(a)]. 4009 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(761(a,1),3945(a,1,2,2))]. 4010 K(x * (K(y,z) * u),y) = K(x * u,y). [para(3945(a,1),3576(a,1,1,2))]. 4011 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(3934(a,2),3945(a,1,2,2))]. 4012 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(3225,a,3948,a)]. 4013 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(3948(a,1),3670(a,1,2,2))]. 4014 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(3125,a,3954,a)]. 4015 K(x * y,T(y,z)) = K(y * x,T(y,z)). [para(109(a,1),3954(a,1,2)),flip(a)]. 4016 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(158(a,1),3954(a,1,2))]. 4017 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(196(a,1),3954(a,1,2))]. 4018 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(513(a,1),3954(a,1,2))]. 4019 K(x * y,K(y,z)) = K(y * x,K(y,z)). [para(2774(a,1),3954(a,1,2)),flip(a)]. 4020 K(x * y,z) * (y * x) = T(y * x,T(z,y)). [para(3954(a,1),2800(a,2,1)),flip(a)]. 4021 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(512(a,1),3956(a,1,1))]. 4022 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(3956(a,1),2800(a,2,1)),flip(a)]. 4023 K(x / y,T(y,z)) = K(y \ x,T(y,z)). [para(109(a,1),3960(a,1,2))]. 4025 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(3960(a,1),2800(a,2,1)),flip(a)]. 4026 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(3960(a,1),2802(a,1,1))]. 4027 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(3961(a,1),2800(a,2,1))]. 4028 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [para(196(a,1),3963(a,1,2))]. 4029 T(x,T(y,z)) * u != x | K(y,T(x,z)) = u. [para(3965(a,1),74(a,1,1)),flip(b)]. 4030 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(96(a,1),3911(a,1,2))]. 4031 K((K(x,y) * z) * u,x) = K(z * u,x). [para(96(a,1),3914(a,1,1))]. 4033 R(x,y \ K(y,z),K(u,y)) = x. [para(3010(a,1),3994(a,1,2))]. 4034 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(67,a,89,a(flip),b,3787,a)]. 4035 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [hyper(68,a,3787,a(flip),b,901,a)]. 4036 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(138,a,3792,a(flip),b,2944,a)]. 4038 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(287,a,4036,a)]. 4039 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(171,a,3948,a,b,4036,a)]. 4040 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(4036(a,1),146(a,1,2)),flip(a)]. 4042 T(x,T(y,z)) \ (T(x,y) * (T(T(x,y),K(y,z)) * u)) = T(x,y) * u. [para(4036(a,1),624(a,1,1))]. 4043 L(K(T(x,y),K(y,z)) \ u,K(T(x,y),K(y,z)),T(x,y)) = T(x,T(y,z)) \ (T(x,y) * u). [para(4036(a,1),2848(a,2,1))]. 4044 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(4036(a,1),3941(a,1,2))]. 4045 T(1 / x,T(y,x)) = T(1 / x,y). [para(1609(a,1),4038(a,1,1)),flip(a)]. 4046 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(3017(a,1),4038(a,1,1,2))]. 4047 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(3866(a,1),4038(a,1,1)),flip(a)]. 4048 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(171,a,962,a(flip),b,4047,a(flip)),flip(a)]. 4049 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(218,a,3816,a),flip(a)]. 4051 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(68,a,62,a(flip),b,3819,a),flip(a)]. 4052 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(2806(a,1),3819(a,1,1)),flip(a)]. 4053 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(171,a,3100,a,b,3854,a),flip(a)]. 4054 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(3070,a,3854,a(flip))]. 4055 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(171,a,3133,a(flip),b,3854,a(flip))]. 4056 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(3854(a,1),2768(a,1,2))]. 4058 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(171,a,3220,a(flip),b,3871,a(flip))]. 4059 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(3875(a,2),2983(a,1))]. 4061 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(3897(a,1),543(a,1,2,2)),flip(a)]. 4062 T(x \ 1,y * x) = T(x \ 1,x * y). [para(2769(a,1),3897(a,1,2)),flip(a)]. 4063 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(3902(a,1),2765(a,1,1,2))]. 4064 K(x,(y \ (z \ y)) \ 1) = K(x,(u \ (u / T(z,y))) \ 1). [hyper(171,a,3925,a,b,3920,a)]. 4065 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(3028(a,1),3939(a,1,2,2))]. 4066 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(3934(a,1),3944(a,2,1))]. 4067 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(761(a,1),3949(a,1,2,2))]. 4068 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(3957(a,1),3773(a,1))]. 4069 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(3934(a,1),4068(a,1))]. 4071 K(x,T(T(y,z),u)) * T(x,z) = T(T(x,z),T(y,u)). [para(3958(a,1),2800(a,2,1)),flip(a)]. 4073 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(3410(a,2),4003(a,2,2))]. 4074 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(4010(a,1),3240(a,1,2,1,2)),flip(a)]. 4075 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(171,a,1387,a(flip),b,4014,a)]. 4076 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [para(14(a,1),4014(a,1,1)),flip(a)]. 4077 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(171,a,2800,a,b,4027,a)]. 4078 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(2765(a,1),4077(a,1,2,2,1))]. 4079 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(3226(a,2),4039(a,2,2))]. 4080 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(171,a,1624,a,b,4049,a(flip)),flip(a)]. 4082 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(1475(a,1),4049(a,1,1,2))]. 4083 (x / (y * K(z,y))) * y = x * K(y,z). [para(2764(a,1),4049(a,1,1,2))]. 4084 a(x,y,x) = K(z,u / w) * K((w / u) \ z,z). [hyper(2580,a,4053,a)]. 4085 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(1472(a,1),4053(a,1,2)),flip(a)]. 4086 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(171,a,2606,a(flip),b,4062,a)]. 4087 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(4062(a,1),1944(a,1,2,1,1))]. 4088 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(4062(a,2),1944(a,1,1))]. 4089 K(T(x,1 / y) / y,y) = K(x / y,y). [para(593(a,1),4076(a,1,1))]. 4090 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(171,a,271,a(flip),b,4080,a(flip)),flip(a)]. 4092 (x * y) / (y * K(z,y)) = x * K(y,z). [para(2764(a,1),4080(a,1,2))]. 4093 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),4086(a,1,2))]. 4094 K(T(x / (1 / (1 / y)),1 / (1 / z)) / (1 / z),1 / z) = K((x / y) / (z \ 1),1 / z). [para(2249(a,1),4089(a,2,1))]. 4095 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(3772,a,4090,a(flip))]. 4096 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(14(a,1),4090(a,1,2,1)),flip(a)]. 4097 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(16(a,1),4090(a,1,2,1))]. 4099 x / (y * K(z,y)) = (x / y) * K(y,z). [para(2764(a,1),4090(a,1,2))]. 4101 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [para(3688(a,1),4092(a,1,1))]. 4102 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [para(14(a,1),4095(a,1,1,2,1))]. 4103 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4095(a,1),567(a,2,1,2))]. 4104 (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(4095(a,1),973(a,1,2,1))]. 4105 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),u). [hyper(171,a,2542,a,b,3802,a),flip(a)]. 4106 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(96(a,1),3807(a,1,1))]. 4108 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(115(a,1),3808(a,1,1))]. 4109 L(K(x \ y,z),x \ y,u) != w | K((y \ x) \ 1,z) = w. [para(3739(a,2),3882(a,1))]. 4110 K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. [para(3150(a,2),3975(a,1,1))]. 4111 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(4002(a,1),782(a,1)),flip(b)]. 4113 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(32(a,2),4059(a,1,2,1))]. 4114 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(91(a,2),4059(a,1,2,1))]. 4115 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(718(a,2),4059(a,1,2))]. 4116 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(3398(a,2),4059(a,1))]. 4117 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(3048(a,1),4111(a,1,2,1,1))]. 4118 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3850(a,1),4116(a,1))]. 4120 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(3386(a,1),3716(a,1,1))]. 4122 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(171,a,1242,a,b,3728,a(flip)),flip(a)]. 4123 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(3155(a,1),3766(a,1,1,1))]. 4124 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(171,a,2970,a(flip),b,3783,a(flip))]. 4125 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(171,a,4040,a,b,4124,a)]. 4126 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(16(a,1),4124(a,1,1)),flip(a)]. 4127 T(x,K(y,z)) / y = T(x / y,K(y,z)). [hyper(68,a,4126,a(flip),b,4040,a)]. 4128 (x \ y) * T(x,z) != u | T(y * K(x,z),x) = u. [para(3796(a,1),883(a,1))]. 4129 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(68,a,3797,a(flip),b,96,a)]. 4130 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(2979(a,2),3799(a,1,1))]. 4131 (x / y) * (x / (x / y)) = (y \ x) * y. [para(2738(a,2),3813(a,1,2))]. 4132 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4131(a,1),2621(a,2,1,1))]. 4134 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(171,a,1988,a(flip),b,3817,a),flip(a)]. 4135 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(2808(a,1),3821(a,1,2))]. 4136 K((x \ 1) \ y,y) = K(x * y,y). [hyper(3161,a,3837,a),flip(a)]. 4137 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(1064,a,3837,a)]. 4138 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(3837(a,1),14(a,1,2))]. 4139 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(3837(a,1),846(a,1,1))]. 4141 K((x \ 1) \ y,y) = K(y * x,y). [hyper(171,a,2619,a(flip),b,4136,a)]. 4142 K((1 / x) * y,y) = K(x \ y,y). [para(63(a,1),4136(a,1,1,1)),flip(a)]. 4143 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(4136(a,1),2793(a,2,2)),flip(a)]. 4144 K(x * (y \ 1),x) = K(y \ x,x). [hyper(3556,a,4141,a),flip(a)]. 4145 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(4141(a,1),3556(a,1))]. 4146 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(2865(a,1),4144(a,1,1,2)),flip(a)]. 4147 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(3726(a,1),3883(a,1,2))]. 4148 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(3726(a,1),3884(a,1,1))]. 4149 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(110(a,1),3959(a,2,2))]. 4150 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(1590(a,1),3959(a,2,2))]. 4151 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1768(a,1),3959(a,1,1)),flip(a)]. 4152 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(3969(a,1),3907(a,1,1))]. 4153 K(x,(y \ (z \ y)) \ 1) \ (z * u) = T(z,T(x,y)) * u. [para(3920(a,2),3969(a,1,1))]. 4154 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(4152(a,1),3156(a,1,1,2))]. 4155 T(x,y) \ (T(T(x,y),z) * u) = x \ (T(x,T(z,y)) * u). [hyper(171,a,3049,a,b,3970,a),flip(a)]. 4156 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(2992(a,1),3990(a,1,2,1))]. 4157 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(3992(a,1),4066(a,2,1))]. 4158 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(4124(a,2),4013(a,1,2))]. 4159 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(171,a,3954,a,b,4017,a(flip)),flip(a)]. 4160 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(14(a,1),4017(a,1,1)),flip(a)]. 4161 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [hyper(171,a,3954,a,b,4018,a(flip)),flip(a)]. 4162 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(930(a,1),4022(a,1,2))]. 4163 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(171,a,971,a(flip),b,4046,a)]. 4164 T(x / y,(y \ x) * z) = T(x / y,z * (y \ x)). [para(3984(a,1),4163(a,1,1))]. 4165 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [hyper(3070,a,4052,a)]. 4166 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(171,a,4009,a,b,4052,a(flip)),flip(a)]. 4167 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(171,a,3949,a(flip),b,4067,a(flip))]. 4168 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(14(a,1),4167(a,1,1)),flip(a)]. 4169 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(3709(a,1),4082(a,1,1)),flip(a)]. 4171 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(4096(a,1),3526(a,1,2))]. 4172 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(171,a,3621,a,b,4171,a(flip)),flip(a)]. 4173 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(4102(a,1),3534(a,1,2))]. 4174 T(x * y,(x \ 1) \ y) = x * y. [para(111(a,1),4138(a,1,2)),flip(a)]. 4175 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(3835(a,2),4138(a,1,2,2))]. 4176 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(171,a,2259,a(flip),b,4174,a(flip)),flip(a)]. 4177 K((x \ 1) * y,x \ y) = 1. [hyper(36,a,4176,a)]. 4178 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(705(a,1),4150(a,1,1,1)),flip(a)]. 4179 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(2847,a,4158,a)]. 4183 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(4165(a,1),3910(a,1,2)),flip(a)]. 4185 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(171,a,3440,a(flip),b,3831,a(flip)),flip(a)]. 4186 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(171,a,3535,a(flip),b,4185,a)]. 4188 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),4186(a,1,2))]. 4190 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1497(a,1),3843(a,1,2))]. 4191 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(2932(a,1),3843(a,1))]. 4192 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(91(a,2),4191(a,1,1,1))]. 4193 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(541(a,1),3847(a,1,1))]. 4194 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(3860,a,2770,a(flip)),flip(a)]. 4195 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(171,a,3088,a,b,4194,a(flip)),flip(a)]. 4196 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(3867,a,2957,a(flip)),flip(a)]. 4197 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(171,a,2878,a,b,4196,a(flip)),flip(a)]. 4198 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(4196(a,1),2096(a,2,3))]. 4199 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(4197(a,1),90(a,1,2,2,1))]. 4200 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(3874,a,2762,a(flip))]. 4201 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),4200(a,1,2,1)),flip(a)]. 4202 T(x,((y * z) \ y) \ 1) = T(x,z). [para(13(a,1),4200(a,2,2))]. 4203 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(32(a,2),4200(a,1,2,1))]. 4206 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [para(794(a,2),4200(a,1,2,1))]. 4207 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(265,a,4201,a),flip(a)]. 4209 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(4201(a,2),1610(a,1))]. 4210 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(4202(a,1),963(a,1,2))]. 4211 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(4203(a,2),160(a,1,2))]. 4212 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(171,a,4203,a(flip),b,4206,a(flip)),flip(a)]. 4213 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(171,a,4012,a(flip),b,4206,a(flip)),flip(a)]. 4214 T(x * y,1 / y) = ((x * y) \ x) \ x. [hyper(171,a,956,a,b,4207,a(flip)),flip(a)]. 4215 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(130(a,2),4207(a,2,1)),flip(a)]. 4216 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(63(a,1),4213(a,2,2,2))]. 4217 L(x \ 1,x,y) \ y = T(y * x,1 / x). [para(130(a,2),4214(a,2,1)),flip(a)]. 4218 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(4215(a,1),60(a,1,2))]. 4219 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(2564(a,1),4218(a,1,2))]. 4220 K(K(x,y) * z,x) != u | K(z,x) = u. [para(3915(a,1),782(a,1)),flip(b)]. 4221 K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. [para(2228(a,1),4220(a,1,1))]. 4223 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(4067(a,1),3950(a,1))]. 4224 K(x * y,K(y,z)) != u | K(x,K(y,z)) = u. [para(4019(a,2),4223(a,1))]. 4225 K(x,K(y,z)) = K(z,K(y,x)). [hyper(4224,a,4179,a)]. 4226 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(4179(a,1),4224(a,1))]. 4227 K(K(x,y) * z,z) = K(x,K(y,z)). [hyper(3345,a,4225,a)]. 4228 K(K(x,y),z) = K(x,K(y,z)). [hyper(3337,a,4225,a)]. 4229 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(4225(a,1),84(a,1,2))]. 4230 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(4225(a,1),2762(a,2,1)),flip(a)]. 4231 x * K(y,K(z,x)) = T(x,K(z,y)). [para(4225(a,1),2793(a,2,2)),flip(a)]. 4232 K(x,K(y \ 1,z)) = K(z,K(x,y)). [para(2913(a,1),4225(a,1,2)),flip(a)]. 4233 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(4225(a,1),2779(a,1,1))]. 4235 K(x,K(y * z,y)) = K(y,K(z,x)). [para(3017(a,2),4225(a,1,2))]. 4236 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(4225(a,1),2995(a,1,2))]. 4237 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(4225(a,1),2996(a,1,1))]. 4238 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(4225(a,1),3337(a,1))]. 4239 a(x,y,K(z,K(u,y))) = 1. [para(4225(a,1),3737(a,1,3))]. 4240 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(4225(a,1),3939(a,1,2))]. 4241 a(x,y,K(z,K(1 / y,u))) = 1. [para(3194(a,2),4239(a,1,3))]. 4242 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(3336,a,4228,a)]. 4243 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(3334,a,4228,a),flip(a)]. 4244 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(171,a,3325,a(flip),b,4228,a)]. 4245 K(x,K(y,z)) / z = 1 / T(z,K(x,y)). [hyper(68,a,4228,a(flip),b,2747,a(flip))]. 4246 K(x,K(y,z)) \ z = T(z,K(x,y)). [para(4228(a,1),2762(a,2,1)),flip(a)]. 4248 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(4228(a,1),2796(a,1,2))]. 4251 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(3903(a,1),4228(a,1,1)),flip(a)]. 4252 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(3905(a,1),4228(a,1,1)),flip(a)]. 4253 (x * (K(y,z) * x)) * K(y,K(z,x)) = (K(y,z) * x) * x. [para(4227(a,1),84(a,1,2))]. 4255 T(x,T(y,K(z,x))) = T(x,y). [para(4231(a,1),3528(a,1,2))]. 4256 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(4036(a,1),4255(a,1,2))]. 4257 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(171,a,4225,a,b,4232,a)]. 4258 K(x,K(y,z)) = K(y,K(x,z)). [para(2913(a,1),4232(a,1,2))]. 4259 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(3469(a,1),4232(a,1,2)),flip(a)]. 4260 K(K(x,y),z) = K(y,K(z,x)). [hyper(3337,a,4258,a)]. 4261 K(K(x,y),z) = K(y,K(x,z)). [hyper(171,a,4228,a,b,4258,a),flip(a)]. 4262 K(x,K(y,z)) = K(z,K(x,y)). [hyper(171,a,4225,a,b,4258,a)]. 4263 K(1 / x,K(y,z)) = K(y,K(z,x)). [hyper(171,a,3194,a(flip),b,4258,a)]. 4264 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(2625(a,2),4258(a,1,2))]. 4265 x * K(y,K(x,z)) = T(x,K(y,z)). [para(4258(a,1),2793(a,2,2)),flip(a)]. 4266 K(x,K(y,z)) * y = T(y,K(x,z)). [para(4258(a,1),2800(a,2,1)),flip(a)]. 4267 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(4258(a,1),2796(a,1,2))]. 4268 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(4258(a,1),2802(a,1,1))]. 4269 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(3900(a,1),4258(a,1,2)),flip(a)]. 4270 x * K(y,K(z,x)) = T(x,K(y,z)). [para(4258(a,1),4231(a,1,2))]. 4271 K(K(x,y),z) = K(x,K(z,y)). [hyper(171,a,4225,a,b,4260,a)]. 4272 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(4260(a,1),3130(a,1))]. 4273 K(K(x,y),z) = K(z,K(x,y)). [hyper(171,a,4225,a,b,4261,a)]. 4274 K(x,K(y,z)) = K(x,K(z,y)). [hyper(171,a,4260,a(flip),b,4261,a(flip))]. 4275 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(4261(a,1),2769(a,1,1))]. 4277 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(3325(a,1),4261(a,1,1)),flip(a)]. 4278 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(171,a,4232,a,b,4262,a),flip(a)]. 4279 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(171,a,3949,a,b,4262,a),flip(a)]. 4280 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(171,a,4168,a(flip),b,4262,a)]. 4281 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(171,a,4232,a(flip),b,4262,a(flip))]. 4282 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(171,a,3193,a(flip),b,4262,a(flip))]. 4283 K(x,K(y,z)) * z = T(z,K(x,y)). [para(4262(a,2),2800(a,2,1)),flip(a)]. 4284 K(x,K(y,z)) * y != u | T(y,K(z,x)) = u. [para(4262(a,1),2802(a,1,1))]. 4285 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(4262(a,2),2808(a,1,1))]. 4286 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(4262(a,2),2977(a,1,1))]. 4287 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(4262(a,2),3360(a,1,1))]. 4288 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(4262(a,2),3709(a,1,1,2))]. 4289 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(4262(a,2),3754(a,1,2))]. 4290 (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). [para(4262(a,2),3740(a,1,2))]. 4291 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(3935(a,1),4262(a,1,2))]. 4292 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(4262(a,2),3938(a,1,1))]. 4293 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(4262(a,2),3939(a,1,2))]. 4295 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(4262(a,2),3837(a,2,2))]. 4296 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(4262(a,2),4138(a,1,2,2))]. 4297 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(4271(a,1),3130(a,1))]. 4298 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(3336,a,4273,a)]. 4299 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(4273(a,1),2980(a,1,1))]. 4300 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(4273(a,1),3043(a,1,1))]. 4301 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [para(4273(a,1),3048(a,1,1))]. 4302 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(4273(a,1),3052(a,1,1))]. 4303 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(4273(a,1),3068(a,1,1))]. 4304 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(4273(a,1),3070(a,1,1))]. 4305 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(4273(a,1),3130(a,1))]. 4307 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(4273(a,1),3706(a,1,2))]. 4308 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [hyper(171,a,3928,a(flip),b,4274,a)]. 4309 K(x,K(y,1 / z)) = K(x,K(y,z)). [hyper(171,a,3194,a(flip),b,4274,a)]. 4310 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(171,a,3192,a(flip),b,4274,a)]. 4311 K(x,K(y,z)) * x = T(x,K(z,y)). [para(4274(a,1),2800(a,2,1)),flip(a)]. 4312 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(4274(a,1),2796(a,1,2))]. 4313 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(3462(a,1),4274(a,1,2)),flip(a)]. 4314 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(3848(a,1),4274(a,1,2)),flip(a)]. 4315 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(3960(a,2),4274(a,1,2))]. 4316 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(4274(a,1),3939(a,1,2))]. 4317 K(x,K(y,1 / z)) = K(z,K(x,y)). [hyper(171,a,442,a(flip),b,4242,a(flip))]. 4318 T(1 / x,K(y,z)) = K(y,K(z,x)) / x. [hyper(68,a,4242,a(flip),b,2930,a),flip(a)]. 4319 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(102(a,1),4256(a,1,2,2)),flip(a)]. 4320 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(171,a,3294,a(flip),b,4263,a(flip)),flip(a)]. 4321 T(x,K(y,z)) = T(x,K(z,y)). [hyper(171,a,4231,a(flip),b,4270,a(flip))]. 4322 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(3164,a,4321,a),flip(a)]. 4323 T(T(x,K(y,z)),K(y,z)) = x. [hyper(3163,a,4321,a)]. 4324 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(3078,a,4321,a)]. 4325 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(706,a,4321,a),flip(a)]. 4326 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(171,a,4036,a(flip),b,4321,a)]. 4327 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(4321(a,1),100(a,1,2))]. 4328 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(4321(a,1),287(a,1))]. 4329 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(4321(a,1),929(a,1,2))]. 4330 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(2913(a,1),4321(a,1,2)),flip(a)]. 4331 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(4321(a,1),2994(a,1,1))]. 4332 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(4321(a,1),4038(a,1,1))]. 4333 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(4323(a,1),140(a,1,2)),flip(b)]. 4334 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(481(a,2),4323(a,1,1)),flip(a)]. 4335 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(4323(a,1),3163(a,1,1)),flip(b)]. 4336 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(3352(a,2),4278(a,1,2))]. 4337 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(171,a,4258,a,b,4280,a)]. 4338 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(4280(a,1),2800(a,2,1))]. 4339 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(3402(a,1),4281(a,1,2))]. 4340 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(3405(a,2),4281(a,1,2))]. 4343 K(x,K(y \ z,z)) = K(z,K(y,x)). [hyper(171,a,4225,a,b,4310,a)]. 4344 T(T(x,y / z),K(y,y / z)) = T(x,z \ y). [hyper(171,a,968,a(flip),b,4326,a)]. 4345 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [para(2913(a,1),4326(a,1,2))]. 4346 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(4326(a,1),2994(a,1,1))]. 4347 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(171,a,4274,a,b,4337,a(flip)),flip(a)]. 4348 K(x,K(y,z \ x)) = K(x,K(z,y)). [hyper(171,a,4262,a(flip),b,4343,a(flip)),flip(a)]. 4349 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(4343(a,1),4270(a,1,2)),flip(a)]. 4350 K(x,K(y,z \ x)) = K(x,K(y,z)). [hyper(171,a,4274,a,b,4348,a)]. 4351 K(x,K(x / y,z)) = K(x,K(z,y)). [para(63(a,1),4348(a,1,2,2)),flip(a)]. 4352 K(x,K(y,x / z)) = K(x,K(y,z)). [para(63(a,1),4350(a,1,2,2)),flip(a)]. 4353 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(171,a,4274,a,b,4351,a)]. 4356 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(4261(a,2),4226(a,1))]. 4357 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(4271(a,2),4226(a,1))]. 4359 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(4343(a,2),4226(a,1))]. 4363 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(4243(a,2),4297(a,1))]. 4364 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(4317(a,2),4297(a,1))]. 4365 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(3027(a,2),4305(a,1,2))]. 4366 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(3869(a,1),4305(a,1,2))]. 4367 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(3935(a,1),4305(a,1,2))]. 4368 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(4263(a,2),4305(a,1))]. 4369 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(4351(a,2),4305(a,1))]. 4370 T(x,K(y,z \ 1)) != u | T(x,K(y,z)) = u. [para(2914(a,2),4335(a,1,2))]. 4371 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(3899(a,1),4236(a,1,2,2)),flip(a)]. 4372 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(4281(a,1),4236(a,1,2))]. 4373 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(3940(a,1),4237(a,1,1,2)),flip(a)]. 4374 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(4240(a,1),19(a,1))]. 4375 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(171,a,4228,a(flip),b,4251,a)]. 4376 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(171,a,4228,a(flip),b,4252,a)]. 4377 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(171,a,4258,a,b,4269,a)]. 4378 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(3855,a,4279,a)]. 4379 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(4297,a,4291,a)]. 4380 K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. [para(4291(a,1),4297(a,1))]. 4381 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(4291(a,2),4236(a,1,2))]. 4382 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(4292(a,1),2768(a,1,2)),flip(a)]. 4383 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(3505(a,1),4314(a,2,2,1))]. 4384 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(171,a,2764,a,b,4316,a(flip)),flip(a)]. 4385 T(K(x,T(y,z)),z) = K(x,y). [para(4316(a,1),2765(a,1,1))]. 4386 K(x,T(y,z)) * z = z * K(x,y). [para(4316(a,1),2804(a,1,1))]. 4387 (x * L(K(y,z),u,w)) / x = L(K(y,T(z,x)),u,w). [para(4316(a,1),2884(a,1,1)),flip(a)]. 4388 K(T(x,y),T(z,y)) = K(x,z). [hyper(4069,a,4385,a)]. 4389 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [hyper(3218,a,4385,a)]. 4390 K(x,T(T(y,z),z)) = K(x,y). [hyper(171,a,3944,a,b,4385,a(flip)),flip(a)]. 4391 T(K(x,y \ z),y) = K(x,z / y). [para(102(a,1),4385(a,1,1,2))]. 4392 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(4385(a,1),140(a,1,2)),flip(b)]. 4393 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(4385(a,1),148(a,1,2,1)),flip(a)]. 4394 T(K(x,y),z \ 1) = K(x,T(y,z)). [para(4385(a,1),953(a,1,1))]. 4395 T(T(K(x,y),z),z) = K(x,y). [para(3934(a,1),4385(a,1,1))]. 4396 T(K(x \ y,z),x) = K(y / x,z). [para(3960(a,1),4385(a,1,1))]. 4397 T(K(x \ y,z),y) = K(y / x,z). [para(3963(a,1),4385(a,1,1))]. 4399 K(x * y,T(z,y)) = K(y * x,z). [hyper(3342,a,4388,a)]. 4400 K(T(x,y),z * y) = K(x,y * z). [hyper(171,a,1436,a(flip),b,4388,a(flip)),flip(a)]. 4401 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(40(a,2),4388(a,1,1))]. 4402 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),4388(a,1,2))]. 4403 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(42(a,2),4388(a,1,1))]. 4404 K(x \ y,T(z,x)) = K(y / x,z). [para(102(a,1),4388(a,1,1))]. 4405 K(T(x,y),y \ z) = K(x,z / y). [para(102(a,1),4388(a,1,2))]. 4406 K((x * y) / x,z) = K(y,T(z,x)). [para(134(a,1),4388(a,1,1)),flip(a)]. 4407 K(x,(y * z) / y) = K(T(x,y),z). [para(134(a,1),4388(a,1,2)),flip(a)]. 4408 K(x \ y,T(z,y)) = K(y / x,z). [para(798(a,1),4388(a,1,1))]. 4409 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(1472(a,1),4388(a,1,2))]. 4410 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1560(a,1),4388(a,1,1)),flip(a)]. 4411 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1566(a,1),4388(a,1,2))]. 4412 K(x * K(y,x),z) = K(x,T(z,y)). [para(2765(a,1),4388(a,1,1)),flip(a)]. 4413 K(x,y * K(z,y)) = K(T(x,z),y). [para(2765(a,1),4388(a,1,2)),flip(a)]. 4414 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [para(4388(a,1),2793(a,2,2))]. 4415 x * K(T(x,y),T(z,y)) = T(x,z). [para(4388(a,2),2793(a,2,2)),flip(a)]. 4416 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(4388(a,1),2800(a,2,1))]. 4417 L(x,T(y,z),K(u,y)) = x. [para(4388(a,1),2915(a,1,3))]. 4418 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(4388(a,1),3099(a,1,1)),flip(a)]. 4419 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(4388(a,1),3440(a,1,1))]. 4420 K(T(x,y),z) * y = y * K(x,z). [para(4388(a,1),3945(a,1,2)),flip(a)]. 4421 K(x,T(y * z,z)) = K(x,z * y). [hyper(171,a,1449,a(flip),b,4390,a(flip)),flip(a)]. 4422 K(x,(y * z) / y) = K(x,T(z,y)). [para(134(a,1),4390(a,1,2,1)),flip(a)]. 4423 K(x,y / (y / z)) = K(x,T(z,y)). [para(801(a,1),4390(a,1,2,1)),flip(a)]. 4424 K(x,T(y,z \ 1)) = K(x,T(y,z)). [para(953(a,1),4390(a,1,2,1))]. 4425 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(4395(a,1),413(a,1,2,2,1))]. 4426 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(3221(a,2),4395(a,1,1))]. 4427 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(3226(a,2),4395(a,1,1))]. 4429 (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). [para(4384(a,1),516(a,1,1,1))]. 4430 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(18,a,3463,a,b,4386,a)]. 4431 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,3287,a,b,4386,a)]. 4432 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(3399,a,4386,a(flip)),flip(a)]. 4433 K(x,T(y,z)) \ z = z * K(y,x). [hyper(171,a,3968,a,b,4386,a(flip)),flip(a)]. 4434 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(68,a,4386,a(flip),b,2770,a)]. 4435 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(4386(a,1),421(a,1,2,1)),flip(a)]. 4436 (x * K(y,z)) * a(K(y,T(z,x)),u,u \ x) = (K(y,T(z,x)) * u) * (u \ x). [para(4386(a,1),449(a,1,1))]. 4437 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(4386(a,1),2768(a,1,2)),flip(a)]. 4438 K(x * y,z) * y = y * K(y * x,z). [para(3954(a,1),4386(a,1,1))]. 4439 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(4004(a,1),4386(a,1,1))]. 4440 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(4391(a,1),899(a,1,2))]. 4441 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [para(4394(a,1),3948(a,1,2)),flip(a)]. 4443 K(x / y,y / z) = K(y \ x,z \ y). [hyper(4116,a,4396,a),flip(a)]. 4444 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(171,a,3256,a,b,4396,a)]. 4446 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(4396(a,1),4209(a,1))]. 4447 x / K(x / y,z) = K(y \ x,z) \ x. [para(4397(a,1),800(a,1,2))]. 4448 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [hyper(171,a,4018,a,b,4399,a)]. 4449 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(171,a,4017,a,b,4399,a)]. 4450 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [para(953(a,1),4399(a,1,2)),flip(a)]. 4452 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(196(a,1),4400(a,1,1)),flip(a)]. 4453 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(3882,a,4404,a)]. 4454 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(24(a,2),4404(a,1,1)),flip(a)]. 4455 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(3528(a,1),4404(a,1,2))]. 4456 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(4404(a,1),3791(a,1,2)),flip(a)]. 4457 K(x / y,z / x) = K(y \ x,x \ z). [para(798(a,1),4405(a,1,1)),flip(a)]. 4458 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(3526(a,1),4405(a,1,1))]. 4459 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(1162(a,1),4406(a,1,1))]. 4460 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(171,a,2908,a,b,4407,a(flip)),flip(a)]. 4461 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(515(a,2),4407(a,1,2))]. 4462 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(171,a,1431,a(flip),b,4408,a(flip)),flip(a)]. 4463 (x * K(y,x)) * K(x,T(z,y)) = T(x * K(y,x),z). [para(4412(a,1),2793(a,2,2)),flip(a)]. 4464 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(2838(a,1),4415(a,1,2,2)),flip(a)]. 4465 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(4415(a,1),3576(a,1,1,2))]. 4466 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(3070,a,4420,a)]. 4467 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(171,a,1436,a,b,4421,a)]. 4468 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(89(a,1),4422(a,1,2,1))]. 4469 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(520(a,1),4422(a,1,2)),flip(a)]. 4470 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(517(a,1),4422(a,1,2)),flip(a)]. 4471 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(4423(a,2),4068(a,1))]. 4472 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(63(a,1),4424(a,1,2,2)),flip(a)]. 4473 K(x,T(y,z \ y)) = K(x,T(y,z)). [para(2556(a,1),4424(a,1,2))]. 4475 K(x / y,z) \ y = y * K(z,y \ x). [para(4404(a,1),4433(a,1,1))]. 4476 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(171,a,4245,a(flip),b,4318,a),flip(a)]. 4477 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(3754(a,1),4322(a,1,1))]. 4478 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(368,a,4324,a),flip(a)]. 4480 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(4325(a,1),146(a,1,2,1)),flip(a)]. 4481 K(x,y) \ (z / K(y,x)) = T(z,K(y,x)). [hyper(67,a,3762,a,b,4327,a)]. 4482 K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. [para(4327(a,1),19(a,1)),flip(a)]. 4483 (K(x,y) \ z) * K(x,y) = K(x,y) * (z / K(x,y)). [para(2993(a,1),4327(a,1,2)),flip(a)]. 4484 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(171,a,4352,a(flip),b,4340,a(flip)),flip(a)]. 4485 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(4340(a,2),4305(a,1))]. 4486 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(4272,a,4375,a)]. 4487 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(4376(a,1),3729(a,1,3))]. 4488 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(4466(a,1),4377(a,1,2,2)),flip(a)]. 4489 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(4378(a,1),3763(a,1,1)),flip(b)]. 4490 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(171,a,4337,a(flip),b,4379,a(flip))]. 4491 K((x \ y) \ 1,T(z,x)) = K((y / x) \ 1,z). [para(102(a,1),4389(a,1,1,1))]. 4492 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(196(a,1),4389(a,1,1,1))]. 4493 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(171,a,2954,a,b,4414,a)]. 4494 T(T(x,T(y,z)),T(T(z,y),u)) = T(x,T(y,z)) * K(x,T(z,u)). [para(905(a,1),4414(a,1,2))]. 4495 T(T(x,T(T(y,z),u)),T(z,T(y,u))) = T(x,T(T(y,z),u)) * K(x,z). [para(906(a,1),4414(a,1,2))]. 4496 T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). [hyper(67,a,4416,a,b,2954,a(flip))]. 4497 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(4416(a,1),2753(a,2,2))]. 4499 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(171,a,3221,a,b,4426,a(flip)),flip(a)]. 4500 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(3227,a,4427,a)]. 4501 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(4430(a,1),4279(a,1,2))]. 4502 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(4437(a,2),3440(a,1,2))]. 4503 T(x,T(y,z)) * z = x * ((z / x) * T(x,y)). [para(3747(a,2),4437(a,2,2))]. 4504 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(4441(a,2),2796(a,1))]. 4505 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(32(a,2),4444(a,1,1,1)),flip(a)]. 4506 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(4444(a,2),3305(a,1))]. 4507 R(x,y \ z,K(y / z,u)) = x. [para(4453(a,1),3730(a,1,3))]. 4508 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(4507(a,1),319(a,1,1))]. 4509 T(x / y,z) \ x = y * K(z,y \ x). [hyper(3205,a,4475,a)]. 4510 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(2992(a,1),4476(a,1,2)),flip(a)]. 4511 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(3934(a,1),4486(a,1,2))]. 4512 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(4488(a,1),4283(a,1,1))]. 4513 (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(4493(a,2),145(a,1,1,1))]. 4514 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(4385(a,1),4493(a,1,2)),flip(a)]. 4515 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(4499(a,1),2757(a,2,2))]. 4516 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(152(a,1),4500(a,1,2,2,1))]. 4517 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(171,a,3707,a,b,4509,a),flip(a)]. 4520 T(x / (x / y),z) \ x = x / T(y,z). [para(63(a,1),4517(a,1,2,1)),flip(a)]. 4522 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(3189(a,1),4520(a,1,1,1))]. 4523 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(4284,a,4338,a(flip)),flip(a)]. 4524 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(4338(a,2),4284(a,1))]. 4525 T(x,K(y,x * z)) = T(x,K(y,z)). [para(13(a,1),4523(a,1,2,2)),flip(a)]. 4526 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(171,a,4321,a,b,4525,a)]. 4527 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(4526(a,1),38(a,1,1)),flip(a)]. 4528 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(4526(a,1),4332(a,1,1))]. 4529 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(4312,a,4349,a(flip)),flip(a)]. 4530 T(x,K(y,x / z)) = T(x,K(y,z)). [para(63(a,1),4529(a,1,2,2)),flip(a)]. 4531 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(4530(a,1),3294(a,2,1,1))]. 4533 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(3402(a,1),4363(a,1,2))]. 4534 K(x,K(y,z * K(u,w))) != v5 | K(x,K(y,K(w,u) / z)) = v5. [para(3780(a,1),4364(a,1,2))]. 4536 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(4258(a,1),4369(a,1))]. 4537 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(4321(a,1),4370(a,1))]. 4538 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(4409(a,2),4471(a,1))]. 4540 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(4345(a,2),4504(a,1))]. 4541 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(3848(a,2),4506(a,1))]. 4542 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(3934(a,2),4506(a,1))]. 4543 T(x,K(y,z / x)) != u | T(x,K(y,z)) = u. [para(4440(a,2),4524(a,1))]. 4545 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(4330(a,1),4540(a,1))]. 4546 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(931(a,1),4541(a,1,1))]. 4547 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(196(a,1),4542(a,1,2))]. 4549 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(1731,a,4229,a),flip(a)]. 4550 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(3762(a,2),4275(a,1,2))]. 4551 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(2618(a,1),4285(a,1,1,2))]. 4552 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(4289(a,1),3528(a,1,2))]. 4553 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(4315(a,1),4240(a,1,2))]. 4555 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1656(a,1),4401(a,1,1))]. 4556 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1656(a,1),4402(a,1,2))]. 4557 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(3340,a,4403,a)]. 4558 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [para(801(a,1),4403(a,1,1,1)),flip(a)]. 4559 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(1472(a,1),4403(a,1,1,1)),flip(a)]. 4560 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(4493(a,1),4418(a,1,1))]. 4561 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(4431(a,1),2793(a,2,2))]. 4562 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(4431(a,2),3411(a,1))]. 4563 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(171,a,3706,a(flip),b,4439,a)]. 4564 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(3866(a,1),4563(a,1,1))]. 4565 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(3934(a,2),4563(a,1,1))]. 4566 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1886(a,1),4450(a,1,1)),flip(a)]. 4567 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(4542,a,4459,a)]. 4568 K(x * y,T(y,z)) = K(x,T(y,z)) * a(u,w,u). [hyper(3276,a,4465,a),flip(a)]. 4569 T(x * T(y,z),K(y,z)) = T(y,z) * T(x,y). [hyper(171,a,2946,a(flip),b,4477,a)]. 4570 x \ (T(x,T(y,z)) * z) = (z / x) * T(x,y). [hyper(378,a,4503,a)]. 4571 x \ (T(x,T(y,z)) * z) != u | (z / x) * T(x,y) = u. [para(4503(a,2),203(a,1,2)),flip(b)]. 4572 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(171,a,2757,a,b,4515,a)]. 4573 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(102(a,1),4572(a,1,2,2,1))]. 4574 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(171,a,4038,a(flip),b,4527,a)]. 4575 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(67,a,4574,a(flip),b,3063,a)]. 4576 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(981,a,4528,a)]. 4577 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(3458(a,1),4550(a,1,1,2))]. 4578 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(4228(a,1),4560(a,2,1))]. 4579 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(3098,a,4564,a)]. 4580 x \ (T(x,T(T(y,z),u)) * z) = (z / x) * T(x,T(y,u)). [para(38(a,1),4570(a,1,2,1,2))]. 4581 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(931(a,1),4573(a,1,2,2))]. 4582 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(4576(a,1),146(a,1,2))]. 4583 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(3043(a,1),3972(a,1))]. 4584 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(3759(a,1),3982(a,1))]. 4585 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(40(a,2),4584(a,1,1))]. 4588 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(3848(a,1),4584(a,1))]. 4589 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(4477(a,1),4584(a,1,1))]. 4591 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(4236(a,2),4588(a,1))]. 4593 R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. [para(4035(a,1),333(a,1))]. 4594 K(x,y) != z | R(K(x,y),y,u) = z. [para(3828(a,1),4593(a,1))]. 4595 K((x / y) \ z,z) = K(y / x,z) * a(u,w,u). [hyper(3070,a,4084,a(flip)),flip(a)]. 4597 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(4113,a,3937,a),flip(a)]. 4598 K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u. [para(3937(a,1),4113(a,1))]. 4599 K(x,((y \ z) * y) \ y) = K(x,y / z). [hyper(171,a,4432,a(flip),b,4597,a(flip))]. 4600 K(x,T(y,z) \ z) = K(x,z / y). [hyper(171,a,1458,a(flip),b,4599,a(flip)),flip(a)]. 4601 K(x,y / (y * z)) = K(x,(z * y) \ y). [para(13(a,1),4599(a,1,2,1,1)),flip(a)]. 4602 K(x,T(y,z \ u) \ (u / T(z,u))) = K(x,(u / T(z,u)) / y). [para(1154(a,1),4600(a,1,2,1))]. 4603 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(4240(a,1),4248(a,1))]. 4604 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(4291(a,2),4248(a,1,2))]. 4605 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(4372(a,1),4248(a,1))]. 4608 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(4490(a,2),4367(a,1))]. 4609 K(T(x,y) \ y,z) != u | K(y / x,z) = u. [para(794(a,2),4546(a,1,1,1))]. 4610 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(3936(a,1),4546(a,1))]. 4611 K(T(x,y \ z) \ (T(z,y) / y),u) != w | K((T(z,y) / y) / x,u) = w. [para(1153(a,1),4609(a,1,1,1))]. 4612 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(3896(a,1),4610(a,1,2))]. 4613 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(718(a,2),4562(a,1,2,1))]. 4614 K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. [para(4597(a,1),4562(a,1))]. 4615 K((x \ y) * z,T(z,x)) = K(y / x,z) * a(u,w,u). [para(4404(a,1),4568(a,2,1))]. 4616 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(3848(a,1),4583(a,1,1))]. 4617 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(13(a,1),4613(a,1,2,1,2))]. 4618 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(709(a,2),4614(a,1,2,1))]. 4619 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(893(a,1),4618(a,1,2))]. 4620 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(2997(a,2),4616(a,1))]. 4621 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(3836(a,1),733(a,1,2))]. 4622 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(3836(a,1),2519(a,1,2,2)),flip(a)]. 4623 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(2341(a,1),3839(a,1,2))]. 4624 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(130(a,2),3917(a,1,1,1))]. 4625 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(18,a,3890,a,b,3930,a),flip(a)]. 4626 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(3930(a,1),3097(a,1,2))]. 4627 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(4225(a,1),3951(a,1,1))]. 4628 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [para(4352(a,1),4001(a,1,1))]. 4629 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(3410(a,2),4628(a,2,2)),flip(a)]. 4630 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [para(4258(a,1),4628(a,1,1))]. 4631 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(4262(a,2),4628(a,1,1))]. 4632 K(x,y / z) \ K(x,K(y,z)) = K(z \ y,x). [para(4630(a,1),3759(a,1,1))]. 4633 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [hyper(4304,a,4631,a)]. 4634 (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(4631(a,1),2846(a,1,1,1))]. 4635 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [para(4258(a,1),4633(a,1,1))]. 4636 K(x,K(y,z / (1 / (1 / u)))) * K(y,(z / (1 / (1 / u))) / x) = K(y,1 / (1 / (x \ (z / u)))). [para(1907(a,2),4635(a,2,2))]. 4637 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(738(a,1),4007(a,1,2,2))]. 4638 K(x * y,1 / y) = K(y * x,1 / y). [hyper(3555,a,4075,a),flip(a)]. 4639 K((x \ y) * x,1 / x) = K(y,1 / x). [para(14(a,1),4638(a,2,1))]. 4640 R(K(x,y),x,z) != u | K(x,y) = u. [para(4105(a,2),3805(a,1))]. 4641 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(3438(a,1),4640(a,1))]. 4642 R(K(x,y),x * K(z,y),u) != w | K(x * K(z,y),y) = w. [para(3542(a,1),4640(a,1,1))]. 4643 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(102(a,2),4120(a,1,1))]. 4645 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3585(a,1),4122(a,1,2))]. 4646 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(67,a,4645,a(flip),b,623,a),flip(a)]. 4647 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(171,a,4283,a,b,4130,a),flip(a)]. 4648 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(4130(a,2),4331(a,1,1))]. 4649 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(1391(a,1),4137(a,2,2))]. 4651 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(4161(a,1),2905(a,1,2))]. 4653 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(2978(a,1),4175(a,1,2,2,1,1,2))]. 4654 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(4142(a,1),4336(a,2,2))]. 4655 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(171,a,4236,a(flip),b,4371,a)]. 4657 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(171,a,4237,a(flip),b,4373,a)]. 4658 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(2993(a,1),4657(a,1,2))]. 4659 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(913(a,1),4381(a,1,2,2,2))]. 4660 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(3528(a,1),4393(a,1,1,1,2))]. 4661 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(1707,a,4425,a)]. 4662 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(445,a,4661,a)]. 4663 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(4068,a,4449,a)]. 4664 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(4461(a,1),2793(a,2,2))]. 4666 x * (K(y,x) * K(x,T(z,y))) = T(x * K(y,x),z). [hyper(171,a,3727,a(flip),b,4463,a(flip)),flip(a)]. 4667 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(171,a,2920,a,b,4464,a(flip)),flip(a)]. 4668 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(171,a,1571,a(flip),b,4508,a(flip))]. 4669 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4177(a,1),4514(a,1,1))]. 4670 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(171,a,3228,a(flip),b,4516,a(flip)),flip(a)]. 4671 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(171,a,4388,a(flip),b,4557,a(flip))]. 4673 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(4671(a,1),2872(a,2,1,1))]. 4674 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(97(a,1),4558(a,1,1)),flip(a)]. 4675 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(171,a,2793,a,b,4561,a)]. 4676 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),4675(a,1,2,1,1)),flip(a)]. 4677 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(2865(a,1),4676(a,1,2)),flip(a)]. 4678 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(171,a,4213,a(flip),b,4677,a(flip))]. 4679 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(171,a,3009,a(flip),b,4678,a(flip)),flip(a)]. 4680 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(4347(a,1),4627(a,1,1))]. 4681 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(171,a,4655,a(flip),b,4658,a)]. 4683 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(3762(a,1),4681(a,1,2))]. 4684 T(x,T(y,z)) * K(z,x) = T(x * K(z,x),y). [hyper(171,a,4056,a(flip),b,4666,a(flip)),flip(a)]. 4685 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4684(a,1),3075(a,1,2))]. 4686 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [para(2764(a,2),4685(a,1,2,1))]. 4687 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(447(a,1),4686(a,1,2))]. 4688 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(2845,a,4667,a)]. 4689 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(171,a,2872,a,b,4673,a)]. 4690 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(171,a,3702,a(flip),b,3777,a(flip))]. 4691 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(3046(a,1),3777(a,2,2))]. 4692 x / R(y,z,y) = (x / T(y,u)) * K(y,y * u). [para(2947(a,2),4690(a,1,2))]. 4693 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(2948(a,1),4690(a,1,2)),flip(a)]. 4694 (x / T(y,z)) * T(y,y * z) = (x / R(y,u,y)) * y. [para(4692(a,2),3757(a,1,1)),flip(a)]. 4696 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(171,a,3877,a(flip),b,3872,a(flip)),flip(a)]. 4697 L(K(x \ y,T(z,u * y)),y,u) = K((u * y) / (u * x),z). [hyper(171,a,4408,a(flip),b,4696,a)]. 4698 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(171,a,1393,a(flip),b,4696,a)]. 4699 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),4696(a,2,1,1))]. 4700 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),4696(a,2,1,2))]. 4701 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(63(a,1),4696(a,1,1,1)),flip(a)]. 4702 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(91(a,2),4696(a,2,1))]. 4703 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(794(a,2),4696(a,1,1,1)),flip(a)]. 4704 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(3048(a,1),4696(a,2,1,1))]. 4705 L(K(x \ y,z),y,y \ 1) != u | K(((y \ 1) * x) \ 1,z) = u. [para(4696(a,2),3595(a,1))]. 4706 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(734(a,1),4702(a,2,1))]. 4707 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1819(a,2),4702(a,2,1))]. 4708 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(3801,a,4699,a)]. 4709 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(171,a,3987,a(flip),b,4699,a(flip)),flip(a)]. 4710 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(4699(a,1),3801(a,1))]. 4711 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(92(a,2),4701(a,1,1))]. 4712 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(171,a,28,a(flip),b,4711,a)]. 4713 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),4711(a,1,1,2)),flip(a)]. 4714 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(4711(a,1),2978(a,1,1)),flip(a)]. 4715 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(4711(a,1),2983(a,1,1))]. 4716 L(K(x,y),z,K(u,x)) = K(x,y). [para(3609(a,1),4711(a,1,1)),flip(a)]. 4717 L(K(x,y),z,K(x,u)) = K(x,y). [para(3611(a,1),4711(a,1,1)),flip(a)]. 4718 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(4716(a,1),89(a,1,2))]. 4719 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(4717(a,1),89(a,1,2))]. 4720 K(L(x,y,z),y * x) = K(x,y * x). [hyper(3801,a,4713,a),flip(a)]. 4721 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(171,a,3915,a(flip),b,4713,a(flip))]. 4722 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(171,a,3599,a(flip),b,4713,a(flip))]. 4723 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(171,a,3598,a(flip),b,4713,a(flip))]. 4724 K(L(x,y,z),z) = K(x,z). [hyper(171,a,3565,a(flip),b,4713,a(flip))]. 4725 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),4724(a,1,1))]. 4726 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(169(a,1),4724(a,1,1))]. 4727 K((x \ 1) \ y,x) = K(x * y,x). [para(310(a,1),4724(a,1,1)),flip(a)]. 4728 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(4724(a,1),4412(a,1,1,2)),flip(a)]. 4729 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(945(a,1),4723(a,1,1))]. 4730 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(3556,a,4727,a),flip(a)]. 4731 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(4727(a,1),4696(a,1,1))]. 4732 K(L(x,y,z),y * x) = K(x,x * y). [hyper(171,a,2625,a(flip),b,4720,a)]. 4733 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(4720(a,2),3033(a,1))]. 4734 K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). [hyper(3306,a,4726,a)]. 4735 K(L(x,K(y,z),u),y) = K(x,y). [hyper(171,a,3905,a(flip),b,4721,a)]. 4736 K(L(x,K(y,z),u),y) != w | K(x,y) = w. [para(4721(a,2),4220(a,1))]. 4738 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(169(a,1),4735(a,1,1))]. 4739 K(L(x,y,x),z) != u | K(x,z) = u. [para(756(a,1),4736(a,1,1))]. 4740 K(x \ (x * y),z) != u | K(y,z) = u. [para(1031(a,1),4736(a,1,1))]. 4741 L(K(x,y),z,x) != u | K(x,y) = u. [para(4711(a,1),4739(a,1))]. 4742 K((x / y) \ x,z) != u | K(y,z) = u. [para(16(a,1),4740(a,1,1,2))]. 4744 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(3960(a,2),4740(a,1))]. 4745 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(4404(a,1),4740(a,1))]. 4746 K(L(x,y,x) \ z,u) != w | K(x \ z,u) = w. [para(759(a,2),4742(a,1,1,1))]. 4747 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(171,a,4412,a(flip),b,4728,a)]. 4748 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(311(a,1),4747(a,1,2,2)),flip(a)]. 4749 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(14(a,1),4744(a,1,1,1))]. 4750 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(4406(a,1),4744(a,1))]. 4751 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(102(a,1),4750(a,1,2,1))]. 4752 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(705(a,1),4750(a,1,2,1))]. 4753 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(798(a,1),4750(a,1,2,1))]. 4754 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(953(a,1),4750(a,1,2,1))]. 4755 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(3935(a,2),4750(a,1))]. 4756 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(3954(a,1),4750(a,1))]. 4757 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(4408(a,1),4750(a,1))]. 4759 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(38(a,1),4755(a,1,2))]. 4760 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(40(a,2),4755(a,1,1))]. 4761 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(40(a,2),4755(a,1,2))]. 4762 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),4755(a,1,2))]. 4763 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(102(a,1),4755(a,1,2))]. 4764 K(T(x,y),R(z,y,u)) != w | K(x,((y * z) * u) / (y * u)) = w. [para(481(a,2),4755(a,1,2))]. 4765 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(512(a,1),4755(a,1,1))]. 4766 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(521(a,2),4745(a,1,1))]. 4767 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(2764(a,1),4745(a,1,1))]. 4769 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(847(a,1),4749(a,1,1))]. 4770 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(2881(a,2),4749(a,1,1))]. 4771 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(24(a,2),4751(a,1,2,1))]. 4773 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(4467(a,1),4752(a,1))]. 4774 K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. [para(705(a,1),4754(a,1,2))]. 4775 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(2556(a,1),4754(a,1,2))]. 4776 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(2555(a,1),4754(a,1,2))]. 4777 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(4200(a,1),4754(a,1,2))]. 4778 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(4206(a,1),4754(a,1,2))]. 4779 K(x * y,T(y,z)) != u | K(y * x,T(y,z)) = u. [para(109(a,1),4756(a,1,2))]. 4780 K(x * T(x \ y,z),T(u,x)) != w | K(x * T(y / x,z),u) = w. [para(276(a,1),4756(a,1,1))]. 4782 K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5. [para(512(a,1),4763(a,1,1))]. 4783 T(K(x,y * z),y) != u | K(x,z * y) = u. [para(3934(a,1),4773(a,1))]. 4784 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(4059,a,4730,a)]. 4785 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(758(a,1),4746(a,1,1,1))]. 4786 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(798(a,1),4765(a,1,2))]. 4787 L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. [para(4706(a,2),3587(a,1))]. 4788 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(4718(a,1),1566(a,1,1,2))]. 4789 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(171,a,3907,a(flip),b,4738,a)]. 4791 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(2914(a,1),4789(a,1,1,1,2))]. 4792 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(3740(a,1),4789(a,1,1,1)),flip(a)]. 4793 K((K(x,y) * z) \ u,x) = K(z \ u,x). [para(3945(a,1),4789(a,1,1,1))]. 4794 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(4388(a,1),4789(a,1,1,1,2))]. 4795 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2230(a,1),4791(a,1,1,1)),flip(a)]. 4796 K(T(x * K(y * K(z,u),w),y * K(z,u)),u) = K(y \ (x * T(y * K(z,u),w)),u). [para(3788(a,1),4791(a,1,1))]. 4797 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(3583,a,3926,a)]. 4798 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(261(a,2),4000(a,1,2))]. 4799 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(4108,a,3945,a)]. 4800 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(964(a,1),4799(a,1,2,1))]. 4802 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(171,a,4595,a,b,4615,a)]. 4803 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [hyper(4779,a,4802,a)]. 4804 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [para(13(a,1),4803(a,1,1,2)),flip(a)]. 4805 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [hyper(171,a,4065,a,b,4804,a)]. 4806 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1800(a,1),4624(a,2,2))]. 4807 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(67,a,4651,a(flip),b,4056,a),flip(a)]. 4808 (x / R(y,z,y)) * y = (x * K(u,y)) * K(y,y * u). [hyper(171,a,3758,a(flip),b,4694,a(flip))]. 4809 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(4700(a,1),295(a,1,2)),flip(a)]. 4810 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(4727(a,1),4700(a,1,1))]. 4811 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(4712(a,2),308(a,1))]. 4812 R(x,K(y,z),R(z,u,w)) = x. [hyper(325,a,3694,a)]. 4813 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(171,a,3777,a(flip),b,4812,a(flip)),flip(a)]. 4814 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(541(a,1),3717(a,1,1,2))]. 4815 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1576(a,1),3717(a,1,1,2))]. 4816 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(3628(a,1),3717(a,1,1,2)),flip(a)]. 4817 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(171,a,3713,a(flip),b,4816,a)]. 4818 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(4817(a,1),2793(a,2,2))]. 4819 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(2914(a,1),4817(a,1,2,1,2))]. 4820 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(2806(a,1),4817(a,1,2,1))]. 4821 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(3013(a,2),4817(a,1,2,1,2))]. 4822 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(3888(a,1),4817(a,1,2,1)),flip(a)]. 4823 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(3945(a,1),4817(a,1,2,1))]. 4824 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(3726(a,1),4817(a,1,2,1))]. 4826 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(4388(a,1),4819(a,1,2,1,2))]. 4827 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),4823(a,1,2)),flip(a)]. 4828 K(x,T(T(x,y),z) \ u) = K(x,T(x,z) \ u). [para(3973(a,1),4823(a,1,2,1))]. 4829 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(171,a,2793,a,b,4818,a)]. 4832 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(3888(a,1),4829(a,1,2,1)),flip(a)]. 4834 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(2760(a,1),4821(a,1,2,1)),flip(a)]. 4835 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(4059,a,4834,a)]. 4836 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(888(a,1),4834(a,1,2,1)),flip(a)]. 4837 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(4835(a,1),2811(a,1,1))]. 4838 K(x,T(T(x,y),z) \ u) = K(x,x \ u). [hyper(171,a,3904,a(flip),b,4828,a)]. 4840 K(T(T(x,y),z) \ u,x) = K(x,x \ u) \ 1. [para(4838(a,1),2978(a,1,1)),flip(a)]. 4841 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(171,a,2391,a,b,4837,a)]. 4842 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(68,a,2391,a,b,4837,a)]. 4843 K(T(T(x,y),z) \ u,x) = K(x \ u,x). [hyper(171,a,2978,a(flip),b,4840,a)]. 4844 K(T(T(x,y),z) \ u,x) != w | K(x \ u,x) = w. [para(4840(a,2),2983(a,1))]. 4845 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(67,a,4841,a(flip),b,2770,a)]. 4847 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(3748(a,1),4842(a,1,2))]. 4848 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(4824(a,1),3072(a,1,2,2))]. 4849 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(872(a,1),4845(a,2,2))]. 4850 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(3760(a,2),3773(a,1))]. 4851 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(63(a,1),3782(a,1,2)),flip(a)]. 4852 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(4228(a,1),4851(a,1,2))]. 4853 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(1595(a,1),3823(a,1,1))]. 4854 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(2777(a,1),3826(a,1,1))]. 4855 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(3845(a,1),4410(a,1,1))]. 4856 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(1704(a,2),3927(a,1,2))]. 4857 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(3807,a,3999,a),flip(a)]. 4858 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(2615(a,1),4857(a,2,1))]. 4859 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(171,a,40,a,b,4034,a)]. 4860 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(4063(a,1),3789(a,1,2)),flip(a)]. 4861 K(x,((y * z) \ z) \ 1) = K(x,(z \ (y \ z)) \ 1). [para(115(a,1),4064(a,2,2,1,2)),flip(a)]. 4862 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(171,a,2793,a,b,4079,a)]. 4863 T(x,1 / T(y,z)) = T(x,T(1 / y,z)). [hyper(4540,a,4862,a),flip(a)]. 4864 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(794(a,1),4863(a,1,2,2))]. 4865 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(171,a,4581,a(flip),b,4864,a(flip))]. 4866 K(x,((y * z) \ z) \ 1) \ (y * u) = T(y,T(x,z)) * u. [para(4861(a,2),4153(a,1,1))]. 4867 x \ (T(x,T(T(y,z),u)) * z) = (z / T(x,u)) * T(T(x,u),y). [hyper(4571,a,4155,a),flip(a)]. 4868 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(4157(a,2),4588(a,1))]. 4869 K(x \ 1,x) * (K(y,z) * K(y,u)) = (y \ K(y,z)) * T(y,u). [para(4195(a,1),2280(a,1,2))]. 4870 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),1 / ((y * z) \ y)). [para(4210(a,1),3118(a,1,1))]. 4871 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(4210(a,1),3544(a,1,1)),flip(a)]. 4872 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(3325(a,1),4244(a,1,1)),flip(a)]. 4873 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(3325(a,1),4277(a,1,2)),flip(a)]. 4874 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(171,a,4872,a,b,4873,a(flip)),flip(a)]. 4875 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(4258(a,1),4874(a,1,1))]. 4876 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(4875(a,2),2796(a,1,2))]. 4877 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(3424(a,1),4875(a,2,2))]. 4878 T(K(x,y) * z,z) = z * K(x,y). [hyper(138,a,4253,a(flip),b,4290,a(flip))]. 4879 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(2937(a,1),4878(a,1,1))]. 4880 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(17,a,3651,a,b,4879,a(flip)),flip(a)]. 4881 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(16(a,1),4295(a,1,2,1))]. 4882 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(4762,a,4419,a(flip)),flip(a)]. 4883 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(4419(a,2),4762(a,1))]. 4884 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(14(a,1),4882(a,1,2)),flip(a)]. 4885 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(171,a,3443,a,b,4884,a(flip)),flip(a)]. 4886 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(953(a,1),4884(a,1,2,2,1))]. 4888 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(2913(a,1),4885(a,1,2,1))]. 4889 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(171,a,234,a(flip),b,4886,a)]. 4890 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(171,a,1462,a(flip),b,4886,a(flip)),flip(a)]. 4891 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(171,a,3934,a(flip),b,4889,a)]. 4893 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(171,a,4794,a(flip),b,4455,a(flip)),flip(a)]. 4894 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(4542,a,4893,a),flip(a)]. 4896 K(x / (y * z),z) = K(x / (z * y),z). [para(84(a,1),4894(a,1,1,2)),flip(a)]. 4897 K(x / (y * T(z,u)),u) = K(x / (y * z),u). [para(3708(a,1),4894(a,1,1,2)),flip(a)]. 4898 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(171,a,4826,a(flip),b,4458,a(flip)),flip(a)]. 4899 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(4763,a,4898,a),flip(a)]. 4901 K(x,y / (z * x)) = K(x,y / (x * z)). [para(84(a,1),4899(a,1,2,2))]. 4902 K(x,y / (z * K(x,u))) = K(x,y / z). [para(2913(a,1),4899(a,1,2,2,2))]. 4903 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(97(a,2),4901(a,2,2)),flip(a)]. 4904 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(171,a,2631,a(flip),b,4903,a(flip)),flip(a)]. 4905 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(2764(a,1),4460(a,1,1,1,2))]. 4906 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(4388(a,1),4497(a,1,1)),flip(a)]. 4907 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(4906(a,1),2420(a,1,2,2)),flip(a)]. 4909 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(171,a,4262,a,b,4501,a)]. 4910 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(4286,a,4512,a),flip(a)]. 4911 T(x * K(y,z),K(z,u)) != w * K(y,z) | T(x,K(z,u)) = w. [para(4910(a,2),20(a,1))]. 4912 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(3497(a,1),4910(a,2,2))]. 4913 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(4326(a,1),4551(a,2,1))]. 4914 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [hyper(1180,a,4913,a(flip))]. 4915 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(4914(a,1),3905(a,1,1))]. 4916 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(4216(a,1),4915(a,1,1)),flip(a)]. 4917 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(171,a,4558,a(flip),b,4559,a(flip))]. 4918 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(4917(a,1),2980(a,1,1))]. 4919 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(4260(a,1),4578(a,2,2))]. 4920 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(917(a,2),4582(a,1,2))]. 4921 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(1475(a,1),4664(a,1,2,1))]. 4922 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * ((z * (L(y \ 1,y,x) \ x)) / z). [para(247(a,1),4687(a,1,1,1)),flip(a)]. 4924 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(2619(a,2),4805(a,2,1))]. 4925 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(3394(a,2),4813(a,1,2))]. 4926 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(4853(a,1),325(a,1))]. 4927 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(4708(a,1),4855(a,1,1,1,2))]. 4928 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(2765(a,1),4859(a,2,1))]. 4929 T(T(x,y) * z,x * z) = T(x,T(y,z)) * z. [hyper(171,a,3359,a(flip),b,4866,a(flip)),flip(a)]. 4930 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(171,a,4281,a(flip),b,4877,a)]. 4931 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(4877(a,2),4311(a,1,1))]. 4932 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(4243(a,1),4930(a,1,1))]. 4933 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(4281(a,1),4930(a,1,1))]. 4934 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(171,a,4874,a(flip),b,4932,a(flip)),flip(a)]. 4935 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(171,a,4875,a(flip),b,4933,a(flip)),flip(a)]. 4936 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(4933(a,2),2793(a,2,2)),flip(a)]. 4937 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(2542(a,1),4935(a,1,2)),flip(a)]. 4938 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(4905(a,1),16(a,1,1))]. 4939 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(4909(a,1),3705(a,1,1))]. 4940 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(2990,a,4918,a),flip(a)]. 4943 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(4938(a,1),3047(a,1,2))]. 4945 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(3262(a,1),4943(a,1,2,1,2,2)),flip(a)]. 4946 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(3794(a,2),2902(a,1))]. 4947 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(318(a,2),3923(a,1,2))]. 4948 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(3974,a,2954,a(flip))]. 4949 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [para(4948(a,1),14(a,1,2))]. 4950 T(x,T(T(y,z),z)) = T(x,y). [hyper(17,a,4493,a(flip),b,4949,a)]. 4951 T(x,T(y \ z,y)) = T(x,z / y). [para(102(a,1),4950(a,1,2,1))]. 4952 T(x,(y * z) / y) = T(x,T(z,y)). [para(134(a,1),4950(a,1,2,1)),flip(a)]. 4953 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(149(a,1),4950(a,1,2,1))]. 4954 T(x,y * K(z,y)) = T(x,T(y,z)). [para(2765(a,1),4950(a,1,2,1)),flip(a)]. 4955 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(3603(a,1),4952(a,1,2,1)),flip(a)]. 4956 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(4051(a,1),4954(a,1,2))]. 4957 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(3079(a,1),4956(a,1,2,1))]. 4958 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(171,a,4865,a(flip),b,4957,a)]. 4959 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(171,a,3935,a(flip),b,4151,a)]. 4961 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(4623(a,1),4190(a,1))]. 4962 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(63(a,1),4219(a,1,2,2)),flip(a)]. 4963 K(x,T(L(y \ z,y,u),u * y)) = K(x,(u * z) / (u * y)). [para(14(a,1),4468(a,1,2,1,2)),flip(a)]. 4964 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(4759,a,4555,a),flip(a)]. 4965 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(4225(a,1),4620(a,1,1))]. 4966 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(4258(a,1),4620(a,1,1))]. 4967 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(718(a,1),4637(a,1,2,2,1))]. 4968 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(4750,a,4674,a)]. 4970 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(3936(a,1),4697(a,1,1))]. 4971 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(718(a,2),4798(a,1,2,1,1))]. 4972 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(148(a,1),4807(a,1,1,1))]. 4973 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(421(a,1),4827(a,1,2))]. 4974 K(x,a(K(x,y),z,u)) = 1. [hyper(171,a,3236,a(flip),b,4973,a(flip))]. 4976 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,4974,a)]. 4977 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(35,a,4976,a)]. 4978 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(4976(a,1),100(a,1,2))]. 4979 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(4976(a,1),3849(a,1,2,1)),flip(a)]. 4980 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(4977(a,1),3849(a,1,2,1)),flip(a)]. 4981 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(4876,a,4936,a)]. 4982 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(171,a,4722,a(flip),b,4964,a(flip)),flip(a)]. 4984 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),4982(a,1,2,2)),flip(a)]. 4985 K(x,T(y,x * z)) = K(x,T(y,z)). [para(225(a,1),4982(a,1,2,2,1))]. 4986 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(14(a,1),4985(a,1,2,2)),flip(a)]. 4988 K(x,T(y \ (x * z),z)) != u | K(x,(x * z) / y) = u. [para(4985(a,1),4753(a,1))]. 4989 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(4777,a,4986,a)]. 4990 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(171,a,3934,a(flip),b,4986,a)]. 4991 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(4986(a,1),2793(a,2,2))]. 4992 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(4986(a,1),4230(a,1,1,2))]. 4994 K(x,T(y,x / z)) = K(x,T(y,z)). [para(63(a,1),4989(a,1,2,2)),flip(a)]. 4995 K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. [para(4989(a,1),4752(a,1))]. 4996 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(4989(a,2),4777(a,1))]. 4997 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(4776,a,4994,a)]. 4998 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),4997(a,1,2,2)),flip(a)]. 4999 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(113(a,1),4997(a,1,2,2)),flip(a)]. 5000 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(4753,a,4998,a),flip(a)]. 5001 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(171,a,831,a,b,4998,a),flip(a)]. 5002 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(4998(a,1),3945(a,1,2))]. 5003 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(171,a,2793,a,b,4991,a)]. 5004 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(171,a,4319,a,b,5003,a(flip)),flip(a)]. 5005 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(5003(a,1),2794(a,1,2,1))]. 5006 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(60(a,1),5004(a,1,2,2)),flip(a)]. 5007 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(5006(a,1),4044(a,1,2))]. 5008 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(5001(a,1),4736(a,1))]. 5009 K(x,T(T(y,z),z * x)) != u | K(L(x,w,x),y) = u. [para(5001(a,1),4750(a,1))]. 5010 K(x * y,T(y,z * (y * x))) != u | K(y * x,T(y,z)) = u. [para(4015(a,2),5008(a,1))]. 5011 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(3807,a,5002,a),flip(a)]. 5012 K(x,y) \ (z * y) = z * T(y,T(x,z)). [hyper(3068,a,5011,a)]. 5013 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(4950(a,1),5011(a,2,2))]. 5014 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(1443(a,1),5013(a,1,1))]. 5015 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(4990(a,1),5013(a,1,1))]. 5016 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(102(a,1),5007(a,1,2,2)),flip(a)]. 5017 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(5009,a,4567,a(flip))]. 5018 K(T(x * y,y) / x,z) = K(y,z). [hyper(4739,a,5017,a),flip(a)]. 5019 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),5018(a,1,1,1,1))]. 5020 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(4233,a,4992,a),flip(a)]. 5021 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),5020(a,1,2,2)),flip(a)]. 5023 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(4392,a,4967,a)]. 5024 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(63(a,1),3718(a,1,1,1,2,1))]. 5025 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(2950(a,1),3719(a,1,1,1)),flip(a)]. 5026 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(3953(a,2),4608(a,1))]. 5027 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(171,a,3935,a(flip),b,4123,a)]. 5028 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(3877(a,1),4192(a,1))]. 5029 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(4404(a,1),4456(a,1,1)),flip(a)]. 5030 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(5029(a,1),407(a,1))]. 5031 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). [para(4480(a,1),5011(a,1,2)),flip(a)]. 5032 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(4883,a,4502,a),flip(a)]. 5034 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(2756(a,1),5032(a,1,2,2)),flip(a)]. 5035 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(3945(a,1),5032(a,1,2,2))]. 5036 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(171,a,3441,a,b,5034,a(flip)),flip(a)]. 5037 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),5036(a,1,2))]. 5038 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(5035(a,1),3759(a,1,1,2)),flip(a)]. 5039 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(1421(a,1),5037(a,2,2))]. 5040 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(5038(a,2),3773(a,1))]. 5041 K(R(x,K(y,x) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(2914(a,1),5040(a,1,1,2,1))]. 5042 K(x,T(y,z \ u) \ (z \ u)) = K(x,(u / T(z,u)) / y). [para(800(a,1),4602(a,1,2,2))]. 5043 K(x,(y / T(z,y)) / u) = K(x,(z \ y) / u). [hyper(4618,a,5042,a),flip(a)]. 5044 K(x,(T(y,z) / z) / u) = K(x,(z \ y) / u). [para(834(a,2),5043(a,1,2,1))]. 5045 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(2936(a,2),4653(a,1,2))]. 5046 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(3250(a,1),4653(a,1,2)),flip(a)]. 5047 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(171,a,4310,a(flip),b,4654,a)]. 5048 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(63(a,1),5047(a,1,2,2,1,2))]. 5049 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(3550,a,5048,a)]. 5050 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(4604,a,4659,a),flip(a)]. 5051 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(171,a,4048,a(flip),b,5050,a(flip))]. 5052 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(171,a,3879,a(flip),b,4784,a)]. 5053 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(171,a,4625,a,b,5052,a)]. 5054 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(13(a,1),5053(a,2,2))]. 5055 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(4809(a,2),3773(a,1,1))]. 5056 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(2615(a,1),4858(a,1,1,1))]. 5057 T(K(x,y) * z,x * y) != K(x,y) * u | T(z,x * y) = u. [para(5056(a,2),19(a,1))]. 5058 (x / T(y,z)) * T(T(y,z),u) = (x / y) * T(y,T(u,z)). [hyper(171,a,4580,a(flip),b,4867,a(flip))]. 5059 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(171,a,2213,a(flip),b,4869,a(flip))]. 5060 (K(x,y) * K(x,z)) \ K(u,u \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(4869(a,1),2262(a,1,1)),flip(a)]. 5061 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(4869(a,1),2421(a,1,2))]. 5062 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(3587,a,4871,a)]. 5063 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(4940(a,1),4921(a,2,2))]. 5064 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(171,a,4664,a,b,5063,a),flip(a)]. 5065 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(2914(a,1),4931(a,1,1,1,2)),flip(a)]. 5066 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(4875(a,1),5065(a,2,1))]. 5067 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(171,a,2800,a,b,5066,a)]. 5068 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(4537,a,5067,a),flip(a)]. 5069 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(171,a,4981,a(flip),b,5068,a(flip))]. 5070 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [hyper(3165,a,5069,a),flip(a)]. 5071 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(432(a,1),5069(a,1,2,2)),flip(a)]. 5072 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(5025(a,2),14(a,1,2))]. 5073 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(171,a,3935,a(flip),b,5027,a)]. 5074 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(5027(a,2),4584(a,1))]. 5075 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(73,a,5045,a)]. 5076 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(5057,a,5046,a)]. 5077 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(3629,a,5046,a)]. 5078 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(5076(a,2),305(a,2,2))]. 5079 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(171,a,5021,a(flip),b,5051,a(flip)),flip(a)]. 5080 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(5079(a,1),4588(a,1))]. 5081 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(171,a,1386,a(flip),b,5062,a)]. 5082 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(5072(a,1),3533(a,1,2)),flip(a)]. 5083 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(2913(a,1),5082(a,1,2,1,1))]. 5084 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(4386(a,1),5083(a,1,2,1))]. 5085 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(5072(a,1),5084(a,1,2,1)),flip(a)]. 5086 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(2773(a,1),5085(a,1,2,1,1)),flip(a)]. 5087 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(4016(a,1),5073(a,1,1,1,1,2))]. 5088 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(5075(a,1),845(a,1,1))]. 5089 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),5088(a,1,1,2,1)),flip(a)]. 5090 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(4911,a,5089,a)]. 5091 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(5089(a,2),20(a,1))]. 5092 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(4266(a,1),5090(a,1,1)),flip(a)]. 5093 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(5069(a,1),5090(a,2,2))]. 5094 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(3029,a,3067,a)]. 5095 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(14(a,1),5094(a,1,2)),flip(a)]. 5096 (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(4386(a,1),3077(a,1,1,3)),flip(a)]. 5097 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(3018(a,1),3108(a,1,2)),flip(a)]. 5098 x * ((y / T(z,y)) * u) != (y / z) * u | K(z,y) = x. [para(5097(a,1),3076(a,1,2))]. 5099 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(3440(a,1),3182(a,1,1))]. 5100 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(2793(a,2),3316(a,1,1,1))]. 5101 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(3163,a,5100,a)]. 5102 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(3456(a,2),3388(a,1))]. 5103 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(3437(a,1),4934(a,1,2)),flip(a)]. 5104 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(171,a,3934,a,b,3455,a)]. 5105 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(171,a,228,a(flip),b,3498,a)]. 5107 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(662(a,1),5105(a,1,2))]. 5108 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(37,a,5107,a)]. 5109 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(35,a,5108,a)]. 5110 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(663(a,2),5109(a,1,1))]. 5111 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(5110(a,1),2562(a,1,2)),flip(a)]. 5112 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(171,a,3242,a(flip),b,3549,a)]. 5113 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(2914(a,1),5112(a,1,2,2))]. 5114 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(171,a,3371,a(flip),b,3617,a(flip))]. 5116 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(4386(a,1),5114(a,1,3))]. 5117 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(4946,a,5116,a)]. 5118 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(5117(a,1),1946(a,1,1,2))]. 5120 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(3757(a,1),4129(a,1,2))]. 5121 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(333,a,5120,a),flip(a)]. 5122 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(2806(a,1),5121(a,1,2)),flip(a)]. 5123 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1497(a,1),4193(a,1,1,2))]. 5124 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(4411(a,1),4549(a,1,2))]. 5125 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(3934(a,2),4435(a,1,1))]. 5126 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(4780,a,4424,a),flip(a)]. 5127 K(x * K((x \ y) \ 1,z),T(u,y)) != w | K(y * T(x / y,z),u) = w. [para(2936(a,1),4780(a,1,1))]. 5128 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(38(a,1),4970(a,1,1,2))]. 5129 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(2925,a,5005,a),flip(a)]. 5130 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(171,a,3962,a,b,5129,a(flip)),flip(a)]. 5131 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(5130(a,1),3705(a,1,1,2)),flip(a)]. 5132 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(5102,a,3835,a)]. 5133 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(4191,a,5132,a),flip(a)]. 5134 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(171,a,4726,a(flip),b,5133,a)]. 5135 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(4961,a,5134,a)]. 5136 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(171,a,2272,a(flip),b,5135,a(flip))]. 5137 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(3578,a,5136,a),flip(a)]. 5138 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(5137(a,1),2874(a,2,2,2))]. 5139 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(171,a,2874,a,b,5138,a)]. 5140 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(171,a,3574,a(flip),b,5139,a(flip))]. 5141 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(2845,a,5140,a)]. 5142 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(13(a,1),5141(a,1,2,2)),flip(a)]. 5143 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(171,a,3540,a,b,5142,a(flip)),flip(a)]. 5144 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(3934(a,2),5104(a,1,1))]. 5145 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [hyper(171,a,3649,a(flip),b,5128,a)]. 5147 K(x,T((y / (x * z)) \ 1,u)) != w | K(x,T((y / z) \ x,u)) = w. [para(5144(a,1),4640(a,1))]. 5149 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(3944(a,1),5145(a,1,1))]. 5150 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(899(a,1),2726(a,1,1))]. 5151 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(3101(a,1),2893(a,1,2))]. 5152 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(4413(a,1),3184(a,1,2,1))]. 5153 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(3547(a,1),5152(a,1,2,2))]. 5154 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(5153(a,1),63(a,1,1))]. 5156 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(2764(a,2),5154(a,1,1,1))]. 5157 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(171,a,3854,a,b,5156,a)]. 5158 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1654(a,1),5157(a,1,1)),flip(a)]. 5159 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(4663(a,1),5158(a,1,2))]. 5160 K(L(x,y,z) * u,x) * K(x,u) = L(x,u,L(x,y,z)) \ x. [hyper(3862,a,5159,a)]. 5161 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),3356(a,1,1,2,2,1))]. 5162 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(171,a,3402,a(flip),b,5161,a)]. 5163 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(5161(a,2),3411(a,1))]. 5164 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(5162(a,1),338(a,1,1))]. 5165 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(3446(a,1),3442(a,1,1))]. 5166 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(171,a,3290,a(flip),b,3466,a(flip)),flip(a)]. 5167 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(171,a,3290,a(flip),b,5166,a(flip))]. 5168 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(171,a,3290,a(flip),b,5167,a(flip)),flip(a)]. 5169 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(484(a,1),3470(a,2,2))]. 5170 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(2883(a,1),5169(a,1,2)),flip(a)]. 5171 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(5170(a,1),4822(a,1,2,1))]. 5172 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(3473(a,1),14(a,1,2))]. 5173 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(171,a,1984,a(flip),b,3635,a)]. 5174 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(171,a,1943,a(flip),b,3636,a)]. 5175 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),5174(a,1,1,2,1)),flip(a)]. 5176 x / (T(y,z) \ ((y \ 1) \ 1)) = (1 / (1 / x)) / K(z,y). [para(2749(a,2),3643(a,1,2)),flip(a)]. 5177 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(171,a,2820,a(flip),b,5176,a)]. 5178 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(2276(a,1),5177(a,1,2))]. 5179 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(5178(a,1),63(a,1,1))]. 5180 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(2542(a,1),3653(a,1,1)),flip(a)]. 5181 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(3305,a,5180,a)]. 5183 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(63(a,1),5181(a,1,1,2,1)),flip(a)]. 5184 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(95(a,2),5181(a,1,1))]. 5185 K(R(x,x \ 1,y),z) = K(x,z). [hyper(171,a,234,a(flip),b,5184,a)]. 5186 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),5184(a,1,1,2)),flip(a)]. 5187 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(5184(a,2),96(a,1,1))]. 5188 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(5184(a,1),3759(a,1,1,2)),flip(a)]. 5189 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(4642,a,5186,a),flip(a)]. 5190 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(171,a,5036,a(flip),b,5186,a(flip))]. 5191 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(171,a,3637,a(flip),b,5186,a(flip))]. 5192 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(5186(a,1),46(a,1,1)),flip(a)]. 5193 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(2951(a,1),5186(a,1,2)),flip(a)]. 5194 L(x,y,K(R(x,z,u),w)) = x. [para(5186(a,1),3614(a,1,3))]. 5195 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(5186(a,1),3911(a,1,2,1))]. 5196 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(5186(a,1),3914(a,1,1,1))]. 5197 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(5194(a,1),301(a,1,2,2)),flip(a)]. 5198 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(171,a,4959,a(flip),b,5191,a(flip))]. 5199 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(5191(a,1),2800(a,2,1)),flip(a)]. 5200 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(5191(a,1),3090(a,1,1,1)),flip(a)]. 5201 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(2945(a,1),5195(a,1,2)),flip(a)]. 5202 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(2971(a,1),5195(a,1,2))]. 5203 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(4466(a,1),5195(a,1,2)),flip(a)]. 5204 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(4914(a,1),5195(a,1,2))]. 5205 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(2773(a,1),5196(a,1,1)),flip(a)]. 5206 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(4403(a,1),5196(a,1,1,1))]. 5207 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(4096(a,1),5203(a,1,2))]. 5208 K(R(x,K(y,z),u),z) = K(x,z). [hyper(171,a,3542,a(flip),b,5189,a)]. 5210 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(46(a,1),5208(a,1,1))]. 5212 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),5198(a,1,2,2)),flip(a)]. 5213 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(102(a,1),5204(a,1,2,2)),flip(a)]. 5214 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),5183(a,2,1,2))]. 5215 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(3963(a,1),5183(a,1,1)),flip(a)]. 5216 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(4589,a,5206,a)]. 5217 K((x * y) / z,x) = K(x / (z / y),x). [hyper(171,a,3830,a(flip),b,5214,a(flip))]. 5218 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(5217(a,2),3557(a,1))]. 5219 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(5218,a,4462,a(flip)),flip(a)]. 5220 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(4462(a,2),5218(a,1))]. 5221 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(171,a,3439,a(flip),b,5188,a(flip))]. 5222 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [para(11(a,1),5221(a,1,1))]. 5223 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(5221(a,1),14(a,1,2))]. 5224 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [para(5221(a,1),60(a,1,2))]. 5226 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(5221(a,1),803(a,1,1))]. 5227 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(171,a,321,a(flip),b,5222,a(flip))]. 5228 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(5222(a,1),729(a,1,1)),flip(b)]. 5229 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(5125(a,1),5222(a,1,1)),flip(a)]. 5230 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(412,a,5226,a)]. 5231 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(357,a,5226,a)]. 5232 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(171,a,3109,a(flip),b,5226,a(flip))]. 5233 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(2943(a,1),5230(a,1,2,1))]. 5234 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(5231(a,1),802(a,1,1))]. 5235 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),5201(a,1,2,1))]. 5236 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(4782,a,5235,a)]. 5237 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(171,a,4968,a,b,5215,a(flip))]. 5238 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(63(a,1),5237(a,1,1,1)),flip(a)]. 5239 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),5238(a,1,1,2)),flip(a)]. 5241 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(3894(a,1),5239(a,1,1))]. 5242 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(171,a,42,a,b,5199,a)]. 5243 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(171,a,3638,a,b,5207,a(flip)),flip(a)]. 5244 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(171,a,5212,a(flip),b,5213,a(flip))]. 5246 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),5244(a,1,2,2)),flip(a)]. 5247 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(118(a,1),5244(a,1,2,2)),flip(a)]. 5248 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(171,a,4240,a,b,5246,a)]. 5249 K(x,T(y \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5. [para(5246(a,1),4753(a,1))]. 5250 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(4374,a,5248,a)]. 5251 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(5248(a,2),4591(a,1))]. 5252 K(x,K(y,x * z)) = K(x,K(y,z)). [para(234(a,1),5250(a,1,2,2,1))]. 5253 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(96(a,1),5250(a,1,2,2))]. 5254 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(4272,a,5253,a)]. 5255 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(5253(a,1),4292(a,1,1))]. 5256 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(234(a,1),5251(a,1,2,2,1))]. 5258 K(x,(x * y) \ z) != u | K(x,T(z / (x * y),y)) = u. [para(102(a,1),5256(a,1,2))]. 5259 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(67,a,5242,a(flip),b,2951,a),flip(a)]. 5260 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(4489,a,5255,a),flip(a)]. 5261 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),5260(a,1,2,2,1)),flip(a)]. 5262 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(5256,a,5261,a),flip(a)]. 5263 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(16(a,1),5262(a,1,2,2)),flip(a)]. 5264 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(5262(a,1),5149(a,1,1,1))]. 5265 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(67,a,3828,a(flip),b,5227,a(flip)),flip(a)]. 5266 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(3303(a,1),5265(a,1,1))]. 5267 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(3934(a,2),5234(a,2,1))]. 5268 ((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(4556(a,1),5267(a,2,1))]. 5269 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(5040,a,5193,a),flip(a)]. 5270 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(171,a,5184,a(flip),b,5269,a)]. 5271 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(2823(a,1),5270(a,1,2))]. 5272 R(K(x,y),z \ K(z,x),u) = R(K(x,y),z \ 1,u). [para(3073(a,1),5270(a,1,2)),flip(a)]. 5273 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(5271(a,1),5232(a,1,1))]. 5274 (x \ 1) * (R(K(y,z),x \ K(x,y),u) * u) = ((((x \ 1) * (K(y,z) * u)) / ((x \ 1) * u)) * (x \ 1)) * u. [para(5272(a,2),1724(a,2,2,1)),flip(a)]. 5275 R(K(x,y),x \ y,z) = K(x,y). [hyper(5098,a,5273,a),flip(a)]. 5276 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),5275(a,1,2))]. 5277 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(480,a,3657,a)]. 5278 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(5277(a,1),3500(a,1,1,1)),flip(a)]. 5279 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(171,a,3219,a(flip),b,5278,a)]. 5280 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(5279(a,1),468(a,1,2,1)),flip(a)]. 5281 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(3896(a,1),3909(a,1,2,2)),flip(a)]. 5282 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(171,a,3155,a(flip),b,5281,a)]. 5284 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(171,a,3156,a(flip),b,5282,a(flip))]. 5285 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(298,a,3986,a)]. 5286 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(171,a,2094,a(flip),b,5285,a(flip)),flip(a)]. 5287 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(171,a,4699,a(flip),b,5286,a(flip))]. 5288 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(4610,a,5287,a),flip(a)]. 5289 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(5220,a,5288,a),flip(a)]. 5290 K(((L(x,y,z) * (u * x)) / w) \ x,x) = K(w / (L(x,y,z) * T(u,x)),x). [para(1492(a,1),5289(a,1,1,2)),flip(a)]. 5291 T(x,T(y,z)) \ (T(x,y) * (T(x,T(y,z)) * u)) = T(x,y) * u. [para(4036(a,1),4042(a,1,2,2,1))]. 5292 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(4313(a,1),4287(a,1,1))]. 5293 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(5292(a,1),98(a,1,1,1)),flip(a)]. 5294 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(5292(a,1),3076(a,1,2))]. 5295 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(625(a,1),4646(a,1,2))]. 5296 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(2341(a,1),4815(a,1,1,2))]. 5297 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(4848(a,1),3107(a,1))]. 5298 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(4262(a,1),4919(a,1,1,1))]. 5299 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(4726(a,1),4927(a,1,1,1,2))]. 5300 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(171,a,4953,a(flip),b,4955,a(flip)),flip(a)]. 5301 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(171,a,2551,a(flip),b,5300,a)]. 5303 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(171,a,2259,a(flip),b,5301,a)]. 5304 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(3014(a,1),4999(a,1,2)),flip(a)]. 5305 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(3747(a,1),5024(a,1,1,1)),flip(a)]. 5306 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(5305(a,2),14(a,1,2))]. 5307 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(3699(a,1),5305(a,2,1))]. 5308 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(5306(a,1),3759(a,1,1)),flip(a)]. 5309 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(5306(a,1),4817(a,1,2,1)),flip(a)]. 5310 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(5306(a,1),4894(a,1,1,2)),flip(a)]. 5311 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(5306(a,1),4902(a,1,2,2)),flip(a)]. 5312 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(188(a,1),5309(a,1,2,1,1))]. 5313 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(3849(a,1),5310(a,1,1,2,1))]. 5314 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(3983(a,1),5310(a,1,1,2,1)),flip(a)]. 5315 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(84(a,1),5311(a,1,2,2,1))]. 5316 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(188(a,1),5311(a,1,2,2,1))]. 5317 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(3849(a,1),5311(a,1,2,2,1))]. 5318 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(3983(a,1),5311(a,1,2,2,1)),flip(a)]. 5319 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(326(a,1),5313(a,1,1))]. 5320 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(5314(a,1),4943(a,1,2,1,2,2)),flip(a)]. 5321 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(326(a,1),5317(a,1,2))]. 5322 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(60(a,1),5308(a,1,1,1,1)),flip(a)]. 5323 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(5322(a,1),14(a,1,2))]. 5324 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(17,a,3715,a(flip),b,5323,a)]. 5325 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(3580,a,5324,a)]. 5326 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [para(5324(a,1),3769(a,1,1,2,2))]. 5327 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(5325(a,1),3239(a,1,1,1,2))]. 5328 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(5325(a,2),3578(a,1))]. 5329 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(5325(a,1),3878(a,1,2))]. 5330 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(16(a,1),5328(a,1,1,1))]. 5331 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(3594(a,1),5328(a,1))]. 5332 K(L(x \ y,x,z / y),x) != u | K((z / y) \ (x \ z),x) = u. [para(313(a,2),5331(a,1,1))]. 5333 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(66,a,1039,a,b,5329,a),flip(a)]. 5334 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,5329,a)]. 5336 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(5329(a,1),3773(a,1,1))]. 5337 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5333(a,1),2315(a,2,1))]. 5338 K(x,(y * x) \ (z * x)) = K(x,y \ z). [hyper(3812,a,5326,a),flip(a)]. 5339 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(3582,a,5338,a)]. 5340 K(x,(y / x) \ z) = K(x,y \ (z * x)). [para(16(a,1),5338(a,1,2,1)),flip(a)]. 5341 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(91(a,2),5339(a,1,2))]. 5342 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(144(a,1),5339(a,1,2)),flip(a)]. 5343 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(171,a,4820,a(flip),b,5340,a(flip)),flip(a)]. 5344 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(171,a,3540,a(flip),b,5343,a)]. 5345 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(13(a,1),5343(a,1,2,1)),flip(a)]. 5346 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(171,a,5171,a(flip),b,5344,a(flip))]. 5347 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(3582,a,5345,a)]. 5348 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(5258,a,5347,a)]. 5349 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(154(a,1),5347(a,1,2,1)),flip(a)]. 5350 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(5347(a,1),4134(a,2,2))]. 5351 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(2567(a,1),5341(a,2,2,2,2))]. 5352 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(171,a,1044,a(flip),b,5350,a(flip))]. 5353 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(13(a,1),5352(a,2,2,2,1))]. 5354 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(171,a,2629,a(flip),b,5342,a)]. 5356 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(2339(a,1),5334(a,2,1)),flip(a)]. 5357 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(5337(a,1),3358(a,1,2)),flip(a)]. 5358 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(171,a,3047,a(flip),b,5357,a)]. 5360 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(171,a,3461,a(flip),b,5358,a(flip)),flip(a)]. 5361 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(171,a,4901,a,b,5360,a(flip)),flip(a)]. 5362 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),5361(a,1,2,2,1)),flip(a)]. 5363 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(13(a,1),5054(a,1,2))]. 5364 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(171,a,5081,a(flip),b,5363,a(flip)),flip(a)]. 5366 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(5364(a,2),4446(a,1))]. 5367 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(171,a,3977,a(flip),b,5131,a)]. 5368 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),5367(a,2,2))]. 5369 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(889(a,2),5368(a,1,2,1)),flip(a)]. 5370 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(2808(a,1),5151(a,1,2,2)),flip(a)]. 5371 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(3022,a,5370,a),flip(a)]. 5372 L(x,T(y,z),z) = L(x,y,z). [hyper(503,a,5371,a(flip))]. 5374 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(5371(a,2),14(a,1,2))]. 5375 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [para(14(a,1),5371(a,2,2,2))]. 5377 L(L(x,y,z),u * w,K(w,u)) = L(x,T(y,z),z). [hyper(171,a,3021,a,b,5372,a),flip(a)]. 5378 L(x,y / z,z) = L(x,z \ y,z). [para(102(a,1),5372(a,1,2)),flip(a)]. 5380 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(3887(a,1),5172(a,1,2))]. 5381 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(4579(a,1),5295(a,1,2)),flip(a)]. 5382 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(5381(a,1),311(a,1,1,1))]. 5383 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(5092(a,1),5298(a,1,1))]. 5384 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(4262(a,1),5383(a,2,1))]. 5385 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(4258(a,1),5384(a,2,2))]. 5386 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(2343,a,5356,a),flip(a)]. 5387 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(2748(a,2),2780(a,1,1,3))]. 5388 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(4417(a,1),5387(a,1,1)),flip(a)]. 5389 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(2946(a,2),5388(a,1,2))]. 5391 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(171,a,4680,a(flip),b,5389,a(flip)),flip(a)]. 5392 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(2906,a,2887,a)]. 5393 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(2887(a,1),481(a,2,1)),flip(a)]. 5394 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(171,a,3155,a,b,5393,a(flip)),flip(a)]. 5395 (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(5392(a,1),1766(a,1,1,2)),flip(a)]. 5396 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(4159(a,1),5394(a,1,2))]. 5397 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(67,a,5396,a(flip),b,4056,a),flip(a)]. 5398 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(67,a,5396,a(flip),b,2768,a),flip(a)]. 5399 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(5396(a,1),28(a,2,2,2)),flip(a)]. 5400 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(5397(a,1),3855(a,1))]. 5401 x \ R(x,y,L(x,z,u)) != w | K(y * L(x,z,u),x) * K(x,y) = w. [para(5398(a,1),3862(a,1))]. 5402 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(2888(a,1),573(a,1,1,1))]. 5403 (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(3613(a,1),2949(a,1,1,2))]. 5404 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(515(a,2),3007(a,1,2,2,1))]. 5405 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(100(a,2),3232(a,2,1,1,1))]. 5406 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(3795(a,1),3793(a,1,2))]. 5407 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(451,a,5406,a),flip(a)]. 5410 a(x,y,T(x,z)) != u | a(w,v5,w) = u. [para(5407(a,1),833(a,1))]. 5411 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(171,a,4033,a(flip),b,3798,a(flip))]. 5413 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(2793(a,2),5411(a,1,1))]. 5414 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(5413(a,2),63(a,1,1))]. 5415 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(2630(a,1),5414(a,2,2))]. 5416 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(102(a,1),5415(a,1,1,1))]. 5417 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [hyper(439,a,3844,a)]. 5418 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(40(a,2),5417(a,1,1))]. 5419 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(73,a,5418,a)]. 5420 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1713(a,1),5419(a,1,1))]. 5421 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(1421(a,2),4454(a,1,1))]. 5422 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(4626,a,5380,a),flip(a)]. 5423 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,5422,a)]. 5426 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),5423(a,1,2,1))]. 5427 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(260,a,5426,a),flip(a)]. 5428 K(x,y * ((z * y) \ z)) = 1. [hyper(36,a,5426,a)]. 5429 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(35,a,5426,a)]. 5431 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(130(a,2),5429(a,1,1,2))]. 5432 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(171,a,5118,a(flip),b,5431,a(flip)),flip(a)]. 5434 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(5432(a,1),1872(a,1,1))]. 5435 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(2387(a,1),4962(a,2,2))]. 5436 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(171,a,2394,a(flip),b,5435,a(flip))]. 5437 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(723(a,1),5436(a,1,2,2,2)),flip(a)]. 5438 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(723(a,1),5437(a,1,1,1,2)),flip(a)]. 5439 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(5438(a,1),63(a,1,1))]. 5440 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(102(a,1),5439(a,1,1,1,1))]. 5441 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(102(a,1),5440(a,2,2))]. 5442 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(5416(a,1),5441(a,1,1))]. 5443 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(171,a,5186,a(flip),b,5165,a(flip))]. 5444 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(5443(a,1),3047(a,1,2,1)),flip(a)]. 5445 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(3935(a,1),5229(a,1,1))]. 5446 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(4385(a,1),5264(a,1,1)),flip(a)]. 5447 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(5446(a,1),16(a,1,1))]. 5449 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),5447(a,1,1,1,1))]. 5450 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1928(a,1),5404(a,1,2))]. 5451 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(67,a,2851,a(flip),b,5450,a),flip(a)]. 5453 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(5421(a,1),3193(a,2,2))]. 5454 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(3061(a,1),5421(a,2,2))]. 5455 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(5444(a,2),3055(a,1))]. 5456 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(3958(a,1),5445(a,1,1))]. 5457 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(171,a,5125,a(flip),b,5456,a(flip))]. 5458 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(5308(a,2),5457(a,1,1))]. 5459 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(5458(a,1),2983(a,1))]. 5460 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(67,a,2827,a(flip),b,2957,a),flip(a)]. 5461 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(2808(a,1),2975(a,1,2)),flip(a)]. 5462 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(171,a,28,a,b,5461,a)]. 5463 L(L(x,y,z * K(u,w)),(z * K(u,w)) * y,K(z * K(u,w),K(u,w))) = L(x,y,K(u,w) * z). [para(4322(a,1),5462(a,2,3))]. 5464 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(4952(a,1),3190(a,2,1,2))]. 5466 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(3325(a,1),3396(a,1,1,2))]. 5468 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(5466(a,2),5221(a,1,1))]. 5471 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(3427(a,1),3452(a,1,2)),flip(a)]. 5472 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(171,a,3235,a,b,5471,a)]. 5476 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(18,a,153,a(flip),b,3492,a)]. 5477 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(171,a,5111,a,b,5476,a(flip)),flip(a)]. 5478 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(63(a,1),5476(a,1,1))]. 5479 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(663(a,1),5477(a,1,1))]. 5480 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(603(a,1),5478(a,1,2))]. 5481 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(5480(a,1),16(a,1,1))]. 5482 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(1804,a,5481,a)]. 5483 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1691(a,1),5482(a,1,1)),flip(a)]. 5484 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(63(a,1),3668(a,1,1,1,1,2)),flip(a)]. 5485 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(3835(a,1),5484(a,1,2))]. 5486 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(718(a,1),5485(a,1,2,1,2))]. 5487 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(3754(a,1),3786(a,1,2)),flip(a)]. 5488 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(5487(a,2),333(a,1))]. 5489 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(5488,a,4487,a)]. 5490 R(x,y,T(z,y)) = R(x,y,z). [hyper(5488,a,3731,a)]. 5491 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(5488,a,46,a),flip(a)]. 5492 R(x,y / z,z) = R(x,z \ y,z). [hyper(171,a,5122,a(flip),b,5490,a(flip)),flip(a)]. 5493 R(x,y,z / y) = R(x,y,y \ z). [para(102(a,1),5490(a,1,3)),flip(a)]. 5495 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(3934(a,2),5490(a,1,3))]. 5496 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(171,a,3434,a(flip),b,5492,a(flip))]. 5497 R(x,(y * z) / y,y) = R(x,z,y). [para(13(a,1),5492(a,2,2))]. 5498 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(5493(a,1),252(a,1,1))]. 5499 R(x,T(y,z),z) = R(x,y,z). [para(135(a,1),5497(a,1,2)),flip(a)]. 5500 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(4683(a,1),5499(a,1,2))]. 5501 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5489(a,2),3062(a,1,1))]. 5502 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(3514(a,1),5491(a,1,1)),flip(a)]. 5504 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(5502(a,1),1113(a,1,1))]. 5505 ((x \ y) / y) * (x * (y / x)) = y / x. [para(5498(a,1),487(a,1,2))]. 5506 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(5505(a,1),5361(a,1,2,2,1))]. 5507 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(2994(a,1),5504(a,1,2,1))]. 5508 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(3934(a,2),5500(a,1,2))]. 5509 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(171,a,5362,a(flip),b,5506,a)]. 5510 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(171,a,4904,a,b,5509,a(flip)),flip(a)]. 5511 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(63(a,1),5510(a,2,2,2,1))]. 5512 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(4447(a,1),3952(a,1,2,1,2))]. 5513 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(2623(a,1),4085(a,1,1))]. 5514 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(4423(a,1),5513(a,1,2))]. 5515 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(4423(a,1),4169(a,1,1,2))]. 5516 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(2270(a,1),4198(a,1,3))]. 5517 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(4368,a,4531,a)]. 5518 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(171,a,4320,a(flip),b,5517,a)]. 5519 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(337(a,2),5518(a,1,2,2))]. 5520 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(718(a,1),4649(a,2,2,1,1,1,1))]. 5521 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(100(a,1),4814(a,1,1,2,2))]. 5522 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(3682(a,2),4814(a,1,1,2,2))]. 5523 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(2338(a,2),5521(a,1,1))]. 5524 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(5336,a,5523,a),flip(a)]. 5525 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(5523(a,1),5336(a,1))]. 5526 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),5524(a,1,2,1,2)),flip(a)]. 5527 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(5524(a,1),3759(a,1,1,2))]. 5528 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(171,a,4824,a(flip),b,5526,a(flip)),flip(a)]. 5529 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(3773,a,5527,a),flip(a)]. 5530 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(171,a,4792,a(flip),b,5529,a(flip)),flip(a)]. 5531 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(62(a,1),5530(a,1,1,1)),flip(a)]. 5532 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(171,a,3919,a(flip),b,5531,a)]. 5533 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(5266(a,1),4907(a,1,2,2)),flip(a)]. 5534 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(2834(a,1),4928(a,1,1,2))]. 5535 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(2818(a,1),5534(a,1,2,2))]. 5536 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(4258(a,1),4939(a,1,1))]. 5537 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(171,a,4943,a(flip),b,4945,a)]. 5538 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(63(a,1),5537(a,1,2,1,1)),flip(a)]. 5539 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(102(a,1),5537(a,1,2)),flip(a)]. 5540 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(4598,a,5539,a)]. 5541 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(63(a,1),5539(a,2,2,2))]. 5542 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(5540(a,1),4434(a,1,1,2))]. 5543 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(5147,a,5541,a)]. 5544 K(x * y,(x / z) \ 1) = K(y * x,x \ z). [hyper(4756,a,5541,a)]. 5545 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(60(a,1),5543(a,1,2,1,1)),flip(a)]. 5546 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(171,a,3540,a,b,5545,a(flip)),flip(a)]. 5547 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(171,a,4434,a(flip),b,5542,a(flip))]. 5548 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),5173(a,1,1,2,1))]. 5549 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),5175(a,1,1,2,1)),flip(a)]. 5550 K(((L(x,y,z) * (u * x)) / w) \ x,x) = K(w / (L(x,y,z) * u),x). [hyper(171,a,4897,a(flip),b,5290,a)]. 5551 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(4522(a,1),5516(a,1,3,2))]. 5552 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(171,a,5486,a(flip),b,5520,a)]. 5553 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(13(a,1),5532(a,2,2))]. 5554 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(3353(a,1),5536(a,1,2))]. 5555 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(3071,a,5554,a)]. 5556 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(4228(a,1),5555(a,1,1))]. 5557 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(4232(a,1),5556(a,1,1))]. 5558 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(4966,a,5557,a)]. 5559 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(3389,a,3293,a)]. 5560 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(171,a,3835,a(flip),b,5559,a)]. 5561 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(4191,a,5560,a)]. 5562 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(5561(a,1),2979(a,1,2)),flip(a)]. 5563 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(171,a,2979,a(flip),b,5562,a)]. 5564 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(5563(a,2),4584(a,1))]. 5565 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(171,a,3402,a(flip),b,3453,a)]. 5566 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(171,a,3428,a(flip),b,5565,a(flip)),flip(a)]. 5567 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(2626(a,1),5566(a,1,1))]. 5568 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(171,a,5186,a(flip),b,5567,a(flip))]. 5569 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),5568(a,1,2,1,1)),flip(a)]. 5570 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(3822(a,1),5568(a,1,2,1))]. 5571 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(171,a,5184,a(flip),b,5569,a(flip))]. 5572 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(3390,a,3592,a),flip(a)]. 5573 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(3701,a,3530,a)]. 5574 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)). [hyper(270,a,5573,a(flip),b,89,a),flip(a)]. 5575 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(171,a,3240,a(flip),b,4074,a)]. 5576 K(x * K(x \ y,z),T(u,y)) != w | K(((z * (y \ x)) / z) * y,u) = w. [para(2914(a,1),4110(a,1,1,2))]. 5577 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(171,a,4078,a(flip),b,4154,a(flip)),flip(a)]. 5579 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(171,a,3156,a(flip),b,5577,a(flip))]. 5580 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(953(a,1),5579(a,1,2,2))]. 5581 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(4305,a,5103,a)]. 5582 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(5123,a,5296,a),flip(a)]. 5583 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(60(a,1),5582(a,1,2,1,2)),flip(a)]. 5584 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(4031(a,1),5284(a,1,1,2))]. 5585 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(171,a,3156,a(flip),b,5584,a(flip))]. 5587 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(171,a,271,a(flip),b,5293,a)]. 5588 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(171,a,2785,a,b,5587,a)]. 5590 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(171,a,4258,a,b,5588,a)]. 5591 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(3390,a,5327,a),flip(a)]. 5592 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(13(a,1),5402(a,2,1,1))]. 5593 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(171,a,5014,a,b,5405,a),flip(a)]. 5594 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),5449(a,2,2,1,1))]. 5595 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(78,a,5594,a)]. 5596 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(5594(a,1),213(a,1,1)),flip(b)]. 5598 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(100(a,2),5595(a,1,2))]. 5599 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(4860(a,2),5598(a,1,1))]. 5600 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(4325(a,1),5501(a,1,1,3))]. 5601 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(3043(a,1),5600(a,2,2))]. 5602 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(5581(a,1),4305(a,1))]. 5603 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(5599(a,1),333(a,1))]. 5604 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(3012(a,1),2837(a,2,1))]. 5605 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(2765(a,1),5604(a,1,1,1))]. 5606 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(5605(a,1),63(a,1,1))]. 5607 ((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(1479(a,1),5606(a,1,1,2))]. 5608 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(3191(a,1),2987(a,1,2,1))]. 5609 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(4616,a,5608,a)]. 5610 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(3934(a,2),5609(a,1,2,1))]. 5611 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(148(a,1),3095(a,1,2)),flip(a)]. 5612 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(2978(a,1),5611(a,1,1,2,1))]. 5613 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(1382(a,1),3374(a,1,2,2,1,2))]. 5614 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(5019(a,1),4162(a,1,1)),flip(a)]. 5615 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(171,a,4025,a(flip),b,5614,a)]. 5616 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(930(a,1),5615(a,1,1)),flip(a)]. 5617 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(70,a,4669,a),flip(a)]. 5618 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4176(a,1),5617(a,1,1)),flip(a)]. 5619 (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(3641,a,5618,a)]. 5620 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(3497(a,1),4912(a,1,1,2))]. 5621 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(983,a,5620,a)]. 5622 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(552(a,1),5126(a,1,1))]. 5623 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(4769,a,5622,a),flip(a)]. 5625 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(3589(a,1),5299(a,1,1,1,2)),flip(a)]. 5626 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1602(a,1),5625(a,2,1))]. 5628 K(x,T(y,T(z \ (x * u),x) \ x)) != w | K(x,T(y,u \ z)) = w. [para(5626(a,2),4767(a,1))]. 5629 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(171,a,3989,a(flip),b,5399,a)]. 5631 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,v5,y)). [para(1666(a,1),5629(a,1,2,2)),flip(a)]. 5632 K(x * L(y,z,u),y) = K(y * x,y). [hyper(171,a,3995,a(flip),b,5631,a)]. 5634 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(171,a,4160,a(flip),b,5632,a(flip))]. 5636 T(x * K(y,x),x * (L(x,z,u) \ y)) = x. [para(5634(a,1),2765(a,1,1,2))]. 5637 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(5636(a,1),2829(a,1,1)),flip(a)]. 5638 T(x,L(x,y,z) * u) = T(x,x * u). [para(13(a,1),5637(a,1,2,2)),flip(a)]. 5639 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(5637(a,1),1431(a,1,2)),flip(a)]. 5640 K(x,L(x,y,z) * u) = x \ T(x,x * u). [hyper(67,a,5638,a(flip),b,2793,a(flip)),flip(a)]. 5641 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [para(5638(a,2),1431(a,1,2))]. 5642 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(171,a,2752,a,b,5640,a)]. 5643 K(x,y * L(x,z,u)) = K(x,x * y). [hyper(171,a,4452,a(flip),b,5642,a(flip)),flip(a)]. 5645 K(L(x,y,z),y * x) = K(x,y * L(x,u,w)). [hyper(171,a,4732,a,b,5643,a),flip(a)]. 5646 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,L(y,v6,v7) * z)). [hyper(171,a,5285,a,b,5641,a),flip(a)]. 5647 K(x,y * L(x,z,u)) != w | K(x,x * y) = w. [para(5645(a,1),4733(a,1))]. 5648 K(x,T(y,L(y,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(5646(a,1),226(a,1)),flip(b)]. 5649 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(225(a,1),5648(a,1,2,2,1))]. 5650 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(913(a,2),5649(a,1,2))]. 5651 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(3934(a,1),5650(a,1))]. 5652 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(171,a,615,a(flip),b,5460,a(flip)),flip(a)]. 5653 ((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(5585(a,1),5652(a,2,2,2,1,1))]. 5654 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(3934(a,2),4061(a,2,2,1))]. 5655 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(4698(a,1),4621(a,1,1))]. 5656 (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(3935(a,1),5096(a,2,1,2))]. 5657 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(171,a,3434,a(flip),b,5164,a(flip))]. 5658 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(2645(a,1),5657(a,1,1))]. 5659 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(5163,a,5658,a)]. 5660 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(171,a,4901,a(flip),b,5659,a(flip))]. 5661 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(100(a,1),5659(a,1,2,2)),flip(a)]. 5662 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(171,a,5315,a(flip),b,5660,a(flip)),flip(a)]. 5663 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(5662(a,1),2793(a,2,2)),flip(a)]. 5664 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(5662(a,1),3072(a,1,2,2))]. 5665 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(3107,a,5664,a),flip(a)]. 5666 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(171,a,4734,a(flip),b,5665,a(flip))]. 5667 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(171,a,4896,a,b,5666,a(flip)),flip(a)]. 5668 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(14(a,1),5666(a,1,1,2,2))]. 5669 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(16(a,1),5667(a,1,1,2,1)),flip(a)]. 5670 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(3363(a,1),5668(a,1,1,1))]. 5671 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(171,a,5669,a(flip),b,5670,a)]. 5672 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(171,a,4132,a,b,5671,a(flip)),flip(a)]. 5673 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(42(a,2),5216(a,1,1,2))]. 5674 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(5558(a,1),5654(a,2,2))]. 5675 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(171,a,100,a(flip),b,5674,a)]. 5676 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(3934(a,2),5675(a,1,1,2))]. 5677 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(3697(a,1),5676(a,1,1))]. 5678 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(5677(a,1),3662(a,1,2))]. 5680 R(K(x,y),y \ 1,z) = K(x,y). [hyper(171,a,5233,a(flip),b,5678,a(flip)),flip(a)]. 5682 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(5508(a,1),5656(a,2,1))]. 5683 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(171,a,5601,a(flip),b,5682,a)]. 5684 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(3935(a,1),5683(a,1,1,2))]. 5685 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(4386(a,1),5684(a,1,2))]. 5686 (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(4979(a,2),5685(a,1,1))]. 5687 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(4321(a,1),5673(a,1,2))]. 5688 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(5070(a,1),5687(a,1,2))]. 5689 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(5688(a,1),3156(a,1,1,2))]. 5691 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(3155(a,1),5689(a,1,1))]. 5692 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(171,a,5592,a(flip),b,5691,a(flip))]. 5693 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(2773(a,1),2961(a,2,2))]. 5694 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(5693(a,2),308(a,1))]. 5696 L(x,y,T(x,z)) = L(x,y,x). [hyper(5694,a,3610,a),flip(a)]. 5697 L(x,y,T(z,y)) = L(x,y,z). [hyper(5694,a,3023,a),flip(a)]. 5698 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(3023(a,1),5694(a,1))]. 5700 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(5696(a,1),40(a,2,1))]. 5701 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(1919,a,5697,a)]. 5702 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [hyper(171,a,5378,a,b,5697,a)]. 5703 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [para(786(a,1),5697(a,1,3))]. 5705 L(T(x,y),z,T(x,u)) = L(T(x,y),w,x). [hyper(171,a,781,a(flip),b,5700,a)]. 5707 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(3892(a,1),5703(a,1,3))]. 5709 L(T(x,y),z,x) != u | L(T(x,y),w,x) = u. [para(5705(a,1),5698(a,1))]. 5712 L(T(x,y),z,T(x,u)) != w | L(T(x,y),v5,x) = w. [para(5705(a,2),5709(a,1))]. 5713 L(x,y / z,z) != u | L(x,z \ y,z) = u. [para(5702(a,1),5698(a,1))]. 5714 L(x,y / T(z,z \ u),(z \ u) \ u) != w | L(x,((z \ u) \ u) \ y,(z \ u) \ u) = w. [para(438(a,2),5713(a,1,2))]. 5715 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(2955(a,1),5707(a,1,2))]. 5716 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(2955(a,1),5715(a,2,2))]. 5717 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(5716(a,1),295(a,1,2)),flip(a)]. 5718 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(893(a,1),5717(a,1,2,1))]. 5719 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(893(a,1),5718(a,2,2,2))]. 5720 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(5719(a,1),897(a,1,1))]. 5721 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(171,a,949,a,b,3756,a),flip(a)]. 5722 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(121(a,1),4577(a,1,1))]. 5724 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(3762(a,1),5722(a,1,2))]. 5725 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(4484(a,1),4629(a,2,1))]. 5726 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(4601(a,2),5725(a,2,2))]. 5727 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(171,a,4073,a,b,5726,a(flip)),flip(a)]. 5728 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(3124,a,5727,a)]. 5731 K(x * K(y * K(z,u),w),T(u,y * K(z,u))) = K(y \ (x * T(y * K(z,u),w)),u). [hyper(4584,a,4796,a)]. 5732 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(5074,a,5087,a),flip(a)]. 5733 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(171,a,5086,a(flip),b,5732,a(flip))]. 5735 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(171,a,5210,a(flip),b,5319,a(flip))]. 5737 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(30(a,2),5735(a,1,1))]. 5738 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(171,a,4178,a,b,5737,a(flip)),flip(a)]. 5739 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(171,a,5241,a,b,5738,a(flip)),flip(a)]. 5740 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(171,a,4188,a(flip),b,5321,a(flip))]. 5742 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(30(a,2),5740(a,1,2))]. 5743 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(171,a,4156,a,b,5742,a(flip)),flip(a)]. 5744 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(5743(a,1),2793(a,2,2)),flip(a)]. 5745 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(2796,a,5744,a),flip(a)]. 5746 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(3052(a,1),5745(a,1,2,1)),flip(a)]. 5747 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(4115,a,5553,a)]. 5748 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(13(a,1),5747(a,1,2))]. 5749 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(171,a,4726,a(flip),b,5748,a(flip)),flip(a)]. 5750 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(171,a,3935,a(flip),b,5661,a)]. 5751 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(2401(a,1),5721(a,1,1)),flip(a)]. 5752 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(5751(a,1),4847(a,1,1)),flip(a)]. 5753 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(171,a,2999,a(flip),b,5752,a)]. 5754 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(171,a,5544,a(flip),b,5753,a(flip)),flip(a)]. 5755 K(x \ (y * T(x * K(z,u),w)),u) = K(y * K(x * K(z,u),w),T(u,x)). [para(3526(a,1),5731(a,1,2)),flip(a)]. 5757 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(171,a,5348,a(flip),b,5750,a)]. 5758 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(4584,a,5757,a)]. 5759 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(1176,a,3778,a),flip(a)]. 5761 K(x,1 / x) * (y / z) = y / (1 / (1 / z)). [para(1382(a,1),5759(a,1,2)),flip(a)]. 5763 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(5761(a,1),4030(a,1,2,1))]. 5764 L(K(x,K(y,z)) \ u,K(T(x,y),K(y,z)),T(x,y)) = T(x,T(y,z)) \ (T(x,y) * u). [para(3966(a,1),4043(a,1,1,1))]. 5765 T(x,T(y,z)) \ (T(x,y) * u) = K(x,K(y,z)) \ u. [hyper(2807,a,5764,a)]. 5766 K(x,K(y,z)) \ (T(x,T(y,z)) * u) = T(x,y) * u. [hyper(171,a,5291,a(flip),b,5765,a(flip))]. 5767 T(x,y) * (T(x,T(y,z)) \ u) = K(x,K(y,z)) \ u. [para(14(a,1),5766(a,1,2)),flip(a)]. 5768 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(2899(a,1),4513(a,1,2,1)),flip(a)]. 5769 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(2899(a,1),5768(a,1,2)),flip(a)]. 5771 (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(5769(a,1),423(a,1,1,1)),flip(a)]. 5773 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(4584,a,4729,a),flip(a)]. 5774 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(4448(a,1),4972(a,1,1)),flip(a)]. 5775 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(2616(a,1),5774(a,2,2))]. 5776 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [hyper(67,a,100,a(flip),b,5078,a)]. 5777 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(5459,a,5776,a)]. 5778 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(5525,a,5777,a)]. 5779 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),5778(a,1,2,1)),flip(a)]. 5780 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(171,a,5354,a(flip),b,5779,a)]. 5781 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(134(a,1),5780(a,1,2)),flip(a)]. 5782 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(5780(a,1),5078(a,1,2))]. 5783 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(171,a,15,a(flip),b,5197,a)]. 5785 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(5194(a,1),5783(a,1,3))]. 5786 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(3929(a,1),5453(a,1,2))]. 5787 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(171,a,4934,a(flip),b,5786,a(flip)),flip(a)]. 5788 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(4329(a,1),5507(a,1,2))]. 5789 L(x,T(y,y \ z) \ 1,y) != u | L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = u. [para(2728(a,1),5714(a,1))]. 5790 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(171,a,5639,a(flip),b,5773,a)]. 5792 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(171,a,4404,a(flip),b,5790,a)]. 5793 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(4643(a,1),4094(a,1,1)),flip(a)]. 5794 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(171,a,1390,a,b,5793,a)]. 5795 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(4221,a,5794,a)]. 5796 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(5795(a,1),2741(a,2,2))]. 5797 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(50(a,1),4566(a,2,1,2,2,1,2))]. 5798 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(11(a,1),5797(a,2,1,2))]. 5799 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(5798(a,2),4542(a,1))]. 5800 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(171,a,4943,a(flip),b,5320,a)]. 5801 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(5013(a,1),5800(a,1,2,1,2,1))]. 5802 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(171,a,5758,a(flip),b,5801,a(flip))]. 5809 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(1479(a,1),5607(a,1,2))]. 5810 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(171,a,3241,a(flip),b,5809,a)]. 5815 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(751(a,1),5810(a,1,1,1,1,1))]. 5819 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(3472(a,1),5815(a,1,1))]. 5821 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),y \ (y * z)). [para(3919(a,1),4870(a,2,2))]. 5822 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),z). [para(13(a,1),5821(a,2,2,2))]. 5823 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(x,z). [para(2616(a,1),5822(a,2,2))]. 5824 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(171,a,3118,a,b,5823,a)]. 5825 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(4115,a,5824,a)]. 5826 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),5825(a,1,2))]. 5827 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(171,a,1386,a(flip),b,5826,a(flip)),flip(a)]. 5828 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(5366,a,5827,a)]. 5830 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),5828(a,2,1))]. 5831 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(171,a,5749,a(flip),b,5830,a(flip))]. 5832 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(4785,a,5831,a)]. 5834 K(x,K(y,z / u)) * K(y,(z / (1 / (1 / u))) / x) = K(y,1 / (1 / (x \ (z / u)))). [para(727(a,1),4636(a,1,1,2,2,2))]. 5835 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(4352(a,1),5834(a,1,1))]. 5836 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(17,a,5728,a(flip),b,5835,a)]. 5837 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(171,a,2205,a(flip),b,5836,a(flip)),flip(a)]. 5841 (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(4854(a,1),5268(a,1,1))]. 5842 (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(2768(a,1),5403(a,1,1))]. 5843 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(451,a,5842,a),flip(a)]. 5844 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(5842(a,1),451(a,1))]. 5845 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(2945(a,1),5843(a,1,2)),flip(a)]. 5846 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(60(a,1),5512(a,1,2,1)),flip(a)]. 5848 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(3934(a,2),5846(a,2,2))]. 5849 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(171,a,3968,a(flip),b,5848,a)]. 5850 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(171,a,4511,a(flip),b,5849,a(flip))]. 5852 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(5850(a,2),4536(a,1))]. 5853 (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(4386(a,1),5841(a,1,1,2))]. 5854 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(3811,a,5853,a),flip(a)]. 5855 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(171,a,1997,a(flip),b,3282,a(flip))]. 5857 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(711(a,1),5855(a,1,1,2,1,2))]. 5858 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(2770(a,1),4622(a,2,2))]. 5859 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(171,a,3749,a(flip),b,5858,a)]. 5861 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(171,a,5702,a(flip),b,5859,a(flip)),flip(a)]. 5862 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * ((z * T(x * y,1 / y)) / z). [para(4217(a,1),4922(a,2,2,1,2))]. 5863 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * T((z * (x * y)) / z,1 / y). [para(283(a,1),5862(a,2,2))]. 5864 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = T(x * y,T(1 / y,z)). [hyper(171,a,4686,a(flip),b,5863,a)]. 5865 T(x * y,T(1 / y,x)) = L(y \ 1,y,x) \ x. [hyper(171,a,2496,a(flip),b,5864,a(flip))]. 5866 T(x * y,T(1 / y,x)) = T(x * y,1 / y). [hyper(171,a,4217,a(flip),b,5865,a)]. 5867 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(14(a,1),5522(a,1,1,2,2,1)),flip(a)]. 5871 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(171,a,3717,a(flip),b,5867,a)]. 5873 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(3275(a,2),5871(a,1,2,1,2))]. 5874 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). [para(3281(a,1),3283(a,2,2,1,1))]. 5875 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). [hyper(171,a,1737,a(flip),b,5874,a)]. 5876 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). [para(32(a,2),5875(a,2,2,2,1))]. 5877 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). [para(148(a,1),5876(a,2,2))]. 5878 (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). [para(891(a,1),5877(a,1,2,2,1))]. 5879 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(912(a,1),5878(a,1,2))]. 5880 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(96(a,1),5879(a,2,2))]. 5881 a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). [hyper(171,a,24,a,b,5880,a),flip(a)]. 5882 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [para(5881(a,2),14(a,1,2))]. 5887 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(1452(a,1),3666(a,1,1)),flip(a)]. 5888 L(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(171,a,3624,a,b,5887,a)]. 5892 L(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(2808(a,1),5888(a,2,1))]. 5894 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(913(a,2),5892(a,1,2))]. 5895 L(x,y,z) * T(R(u,w,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(751(a,1),5894(a,1,2,2,2))]. 5897 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(490(a,1),5895(a,1,2)),flip(a)]. 5898 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(171,a,5549,a(flip),b,5897,a(flip)),flip(a)]. 5899 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(67,a,5898,a(flip),b,2793,a(flip))]. 5901 (L(x,y,z) * T(u,x)) \ L(u * L(x,y,z),(u * L(x,y,z)) \ (u * x),u * L(x,y,z)) = K((u * L(x,y,z)) \ (u * x),u * L(x,y,z)). [para(5898(a,1),3132(a,1,1))]. 5906 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(1452(a,1),3667(a,1,1)),flip(a)]. 5907 R(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(171,a,3624,a,b,5906,a)]. 5911 R(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(2808(a,1),5907(a,2,1))]. 5912 R(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = T(u * R(x,y,z),u * x). [hyper(171,a,5548,a(flip),b,5911,a)]. 5915 R(x,y,z) * R(T(u,x * R(u,w,u)),w,u) = T(u * R(x,y,z),u * x). [para(922(a,2),5912(a,1,2))]. 5916 R(x,y,z) * R(T(u,x * u),w,u) = T(u * R(x,y,z),u * x). [para(751(a,1),5915(a,1,2,1,2,2))]. 5918 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(491(a,1),5916(a,1,2)),flip(a)]. 5919 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) != w | K(x * y,x * R(y,z,u)) = w. [para(5918(a,1),2824(a,1,2))]. 5920 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(662(a,1),4087(a,2,1))]. 5921 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(171,a,5920,a(flip),b,4088,a(flip))]. 5922 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(662(a,1),5921(a,1,1)),flip(a)]. 5923 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(2788(a,1),4103(a,1,2,2,1))]. 5925 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5224(a,1),4691(a,1,1,1))]. 5926 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(144(a,1),4788(a,1,1)),flip(a)]. 5927 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(3663(a,1),5274(a,2,1,1))]. 5928 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(3052(a,1),5927(a,2,1))]. 5929 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(5272(a,1),5928(a,1,2,1))]. 5930 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(5680(a,1),5929(a,1,2,1))]. 5931 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [para(2805(a,2),5930(a,1,2))]. 5932 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(5930(a,1),3665(a,1,2))]. 5934 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(5931(a,1),5923(a,1,2,2))]. 5935 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(171,a,2723,a(flip),b,5932,a(flip)),flip(a)]. 5936 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(5789,a,5935,a)]. 5938 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(5936(a,1),4797(a,1,2,1))]. 5939 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(171,a,3926,a(flip),b,5938,a(flip))]. 5941 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(221,a,5934,a)]. 5942 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(50(a,1),5941(a,2,1))]. 5943 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(67,a,954,a(flip),b,5942,a)]. 5944 (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(171,a,4101,a(flip),b,5395,a)]. 5945 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). [para(4228(a,1),5031(a,2,1))]. 5946 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). [hyper(171,a,4627,a(flip),b,5945,a)]. 5947 L(x \ (y * z),x,K(y * z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [para(3906(a,1),3639(a,1,3))]. 5948 L(x \ (y * z),x,K(z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [hyper(171,a,3120,a(flip),b,5947,a(flip)),flip(a)]. 5950 (K(x,T(x,x * y) * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). [hyper(171,a,3416,a(flip),b,5948,a(flip))]. 5951 (K(x,x * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). [para(3901(a,1),5950(a,1,1,1))]. 5952 (K(x,x * y) \ z) \ T(x * y,x) = (K(x,y) \ z) \ (y * x). [para(2976(a,1),5951(a,1,2,1))]. 5954 (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(4271(a,1),4634(a,1,1,2))]. 5955 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(63(a,1),4849(a,1,1,2))]. 5956 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(40(a,2),5955(a,1,1))]. 5957 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(738(a,1),5956(a,1,1))]. 5958 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(63(a,1),5957(a,1,2,2,2))]. 5959 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),5958(a,1,2,2))]. 5960 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(738(a,1),5959(a,1,2,2))]. 5961 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),5960(a,1,2))]. 5963 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(3700(a,1),5574(a,1,1)),flip(a)]. 5964 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(171,a,3096,a(flip),b,5963,a)]. 5966 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(171,a,2808,a(flip),b,5964,a)]. 5967 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(3700(a,1),5966(a,1,2))]. 5970 T(x,L(y,z,u)) * K(y,w) != v5 | T(x * K(y,w),L(y,z,u)) = v5. [para(5967(a,1),3531(a,1))]. 5971 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(4553(a,1),5954(a,1,1)),flip(a)]. 5972 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(3934(a,2),5971(a,2,2))]. 5973 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(171,a,3980,a(flip),b,5972,a)]. 5974 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(4274(a,1),5973(a,1,1))]. 5975 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(171,a,3729,a(flip),b,5974,a(flip))]. 5977 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(14(a,1),5280(a,2,2,1,2))]. 5978 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(171,a,147,a(flip),b,5977,a)]. 5979 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(147(a,1),5978(a,1,2))]. 5980 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(3043(a,1),5979(a,1,2,2))]. 5981 (((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(30(a,2),1721(a,2,2,1,1))]. 5982 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1733(a,1),5981(a,1,1))]. 5983 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1758(a,1),5982(a,1,1,1))]. 5984 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(333,a,5983,a),flip(a)]. 5985 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(171,a,667,a(flip),b,5984,a(flip))]. 5986 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(3713(a,1),5984(a,2,1,2,1))]. 5988 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1788(a,1),5985(a,1,1,2)),flip(a)]. 5989 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(18,a,2075,a(flip),b,5988,a)]. 5990 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(1791,a,5989,a)]. 5991 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(67,a,5990,a(flip),b,2021,a)]. 5992 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(5990(a,1),3457(a,1,2,1,1))]. 5993 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(171,a,1394,a,b,5991,a(flip)),flip(a)]. 5994 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(723(a,1),5992(a,1,2,1))]. 5995 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(5994(a,1),5724(a,1,2)),flip(a)]. 5996 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(171,a,11,a(flip),b,5995,a)]. 5997 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(3070,a,5996,a)]. 5998 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(4934(a,1),5997(a,1,1))]. 5999 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(3934(a,2),5998(a,1,2,2,1))]. 6000 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(3043(a,1),5999(a,1,2))]. 6001 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(6000(a,1),20(a,1)),flip(a)]. 6002 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(89(a,1),1726(a,1,2,1,2,1))]. 6003 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(171,a,1407,a(flip),b,6002,a(flip))]. 6004 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1406(a,1),6003(a,2,2))]. 6005 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(298,a,6004,a),flip(a)]. 6006 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(171,a,2353,a(flip),b,6005,a(flip))]. 6007 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(2353(a,1),6006(a,1,1))]. 6008 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(171,a,2752,a,b,6007,a)]. 6009 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(2752(a,2),6008(a,1,1))]. 6010 L(K(x,1 / y),z,u) = K(x,L(y,z,u) \ 1). [para(2792(a,1),6008(a,1,1))]. 6011 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(63(a,1),6009(a,1,1,2)),flip(a)]. 6012 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(723(a,1),6009(a,1,1,2)),flip(a)]. 6013 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(3879(a,1),6009(a,1,1)),flip(a)]. 6014 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6011(a,1),3528(a,1,2,2))]. 6015 K(x,y * L(K(x,z),u,w)) = K(x,y). [para(6011(a,1),3533(a,1,2,2))]. 6016 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(4713(a,1),6014(a,1,2,2))]. 6017 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(306(a,1),6016(a,1,2))]. 6018 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(171,a,3759,a,b,6012,a(flip)),flip(a)]. 6019 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(171,a,3504,a(flip),b,6012,a(flip)),flip(a)]. 6020 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(6012(a,1),6009(a,1,1)),flip(a)]. 6021 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(4715,a,6019,a)]. 6022 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6019(a,1),729(a,1,1)),flip(b)]. 6023 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6021(a,1,2,2)),flip(a)]. 6024 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(92(a,1),6021(a,1,2))]. 6025 L(K(x,y),z,K(y,u)) = K(x,y). [para(3611(a,1),6021(a,1,2)),flip(a)]. 6026 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6021(a,1),3934(a,2,1))]. 6027 K((K(x,y) * z) \ (K(x,y) * u),x) = K(z \ u,x). [hyper(5028,a,6025,a)]. 6028 K(x,L(y,z,x)) = K(x,y). [hyper(4741,a,6023,a),flip(a)]. 6029 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(171,a,4716,a(flip),b,6023,a(flip))]. 6030 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(171,a,3598,a(flip),b,6023,a(flip))]. 6031 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(171,a,1186,a(flip),b,6023,a(flip))]. 6032 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(6023(a,1),3548(a,1,1,2))]. 6033 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(4388(a,1),6023(a,1,1))]. 6034 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),6028(a,1,2))]. 6035 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(472(a,1),6028(a,1,2)),flip(a)]. 6036 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(6028(a,1),3238(a,1,2)),flip(a)]. 6037 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6028(a,1),4713(a,1,1)),flip(a)]. 6038 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),6029(a,1,2))]. 6039 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(3059(a,1),6029(a,1,2))]. 6040 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(5377(a,1),6029(a,1,2))]. 6041 R(K(x,y),L(y,z,u),w) = K(x,y). [para(6030(a,1),5854(a,1,1))]. 6042 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(171,a,5214,a(flip),b,6041,a(flip)),flip(a)]. 6044 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(3983(a,1),6032(a,1,1)),flip(a)]. 6045 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(6044(a,1),4412(a,1,1,2)),flip(a)]. 6046 K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). [para(102(a,1),6040(a,1,2,2)),flip(a)]. 6047 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(6017(a,1),5641(a,1,2))]. 6048 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),6047(a,1,2,2,2))]. 6049 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(3833(a,1),6047(a,1,2))]. 6050 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [hyper(5010,a,6049,a),flip(a)]. 6051 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(4714(a,2),6022(a,1))]. 6052 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(60(a,1),6024(a,1,2,1,2)),flip(a)]. 6053 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(171,a,4713,a(flip),b,6037,a)]. 6055 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(92(a,1),6051(a,1,2))]. 6056 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(14(a,1),6052(a,2,2,1))]. 6057 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(14(a,1),6052(a,2,2,2))]. 6058 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [hyper(3745,a,6056,a)]. 6059 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(171,a,4699,a(flip),b,6056,a(flip))]. 6060 K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). [hyper(171,a,3741,a(flip),b,6056,a(flip)),flip(a)]. 6061 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6056(a,1),40(a,2,1))]. 6062 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(171,a,3468,a(flip),b,6058,a(flip))]. 6063 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(4093(a,2),6058(a,1,2,1))]. 6064 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(734(a,1),6013(a,1,2,1)),flip(a)]. 6065 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(171,a,4793,a(flip),b,6027,a(flip)),flip(a)]. 6067 K(x \ T(y,z),y) = K(x \ y,y). [para(2800(a,2),6065(a,1,1,2))]. 6068 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(2894(a,1),6065(a,1,1,2)),flip(a)]. 6069 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(4388(a,1),6065(a,1,1,2,1))]. 6070 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(4386(a,1),6065(a,1,1,2))]. 6071 K(x \ (y * K(z,u)),u) = K(x \ y,u). [para(4466(a,1),6065(a,1,1,2)),flip(a)]. 6072 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(171,a,5561,a(flip),b,6067,a(flip))]. 6073 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(3708(a,1),6070(a,1,1,2)),flip(a)]. 6074 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(3740(a,1),6070(a,1,1,2)),flip(a)]. 6075 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(2210(a,1),6071(a,1,1,2))]. 6077 K(((x * y) \ x) \ z,T(z,K(y,u))) = K(L(y \ 1,y,x) \ z,z). [para(2904(a,1),6072(a,1,1,1)),flip(a)]. 6078 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(141(a,1),6073(a,1,1)),flip(a)]. 6079 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(4753,a,6035,a),flip(a)]. 6080 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(4988,a,6079,a)]. 6081 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(4641,a,6080,a),flip(a)]. 6082 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(14(a,1),6080(a,1,2,1)),flip(a)]. 6083 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,6081,a)]. 6084 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),6081(a,1,2,2)),flip(a)]. 6085 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [para(6081(a,1),5496(a,1,1))]. 6086 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(4173,a,6082,a)]. 6087 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(60(a,1),6084(a,1,2,1)),flip(a)]. 6088 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(15(a,1),6086(a,1,2,2))]. 6089 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(483(a,1),6087(a,1,2,1,2))]. 6090 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(6088(a,1),3759(a,1,1,2))]. 6091 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(171,a,4822,a(flip),b,6039,a(flip))]. 6093 K(x,y \ T(x,z)) = K(x,y \ x). [para(2800(a,2),6091(a,1,2,2))]. 6094 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(2854(a,1),6091(a,1,2,2))]. 6095 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(6091(a,1),3934(a,2,1))]. 6096 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(4386(a,1),6091(a,1,2,2))]. 6097 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(5564,a,6093,a),flip(a)]. 6098 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(6093(a,1),5564(a,1))]. 6099 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(3740(a,1),6096(a,1,2,2)),flip(a)]. 6100 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(3726(a,1),6096(a,1,2,2))]. 6102 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(5008,a,6048,a),flip(a)]. 6103 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),6102(a,1,2,2)),flip(a)]. 6104 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(171,a,5016,a(flip),b,6103,a(flip)),flip(a)]. 6105 K((x \ y) \ 1,(y \ x) \ z) = K(y \ x,x \ (y * z)). [hyper(3882,a,6060,a)]. 6106 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(6068(a,1),3242(a,1,1,1,2))]. 6107 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(4612,a,6069,a),flip(a)]. 6108 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(2769(a,1),6069(a,1,1,2)),flip(a)]. 6109 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(4610,a,6107,a),flip(a)]. 6110 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(6109(a,1),3759(a,1,1,2)),flip(a)]. 6111 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(300(a,1),6074(a,2,1))]. 6112 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(3304,a,6083,a)]. 6113 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(171,a,4172,a,b,6112,a(flip)),flip(a)]. 6114 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(3773,a,6090,a),flip(a)]. 6115 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(171,a,3934,a,b,6095,a)]. 6116 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(171,a,5540,a(flip),b,6100,a(flip))]. 6117 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(171,a,4709,a,b,6108,a(flip)),flip(a)]. 6118 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(171,a,3759,a(flip),b,6110,a)]. 6119 K(x,(y * x) / z) = K(x,(x * y) / z). [para(2769(a,1),6118(a,1,2,1)),flip(a)]. 6120 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(6119(a,2),4641(a,1))]. 6121 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(6120,a,5000,a(flip)),flip(a)]. 6122 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(6120,a,4391,a(flip)),flip(a)]. 6123 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(5000(a,2),6120(a,1))]. 6124 K(x,(y / z) \ x) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(6122(a,1),5080(a,1))]. 6125 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(2800(a,2),6115(a,1,2,1,2))]. 6126 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(3973(a,1),6115(a,1,2,1,2))]. 6127 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(171,a,5219,a(flip),b,6117,a)]. 6128 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13(a,1),6127(a,1,1,1)),flip(a)]. 6129 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(171,a,4146,a(flip),b,6128,a(flip)),flip(a)]. 6130 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(3344,a,6129,a)]. 6131 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(171,a,4412,a(flip),b,6045,a)]. 6132 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(225(a,1),6131(a,1,2,2,1,1))]. 6133 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(2823(a,1),6131(a,1,2,2))]. 6134 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(3052(a,1),6132(a,1,2,2))]. 6135 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(4386(a,1),6132(a,1,2,2))]. 6136 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(3740(a,1),6135(a,1,2,2)),flip(a)]. 6137 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(4231(a,1),6135(a,1,2,2))]. 6138 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(5306(a,1),6135(a,1,2,2)),flip(a)]. 6139 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(4603,a,6137,a)]. 6140 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(171,a,5788,a,b,6139,a(flip)),flip(a)]. 6141 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(5628,a,6134,a),flip(a)]. 6142 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(84(a,1),6138(a,1,2,2,1))]. 6143 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(4996,a,6141,a)]. 6144 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(14(a,1),6143(a,1,2,2,1)),flip(a)]. 6145 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(24(a,2),6143(a,1,2,2)),flip(a)]. 6146 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(1125(a,1),6143(a,1,2)),flip(a)]. 6147 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(171,a,4748,a(flip),b,6144,a(flip)),flip(a)]. 6148 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(14(a,1),6147(a,1,2,2,2)),flip(a)]. 6149 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(4775,a,6148,a),flip(a)]. 6151 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(171,a,5247,a(flip),b,6142,a)]. 6152 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(102(a,1),6151(a,1,2)),flip(a)]. 6153 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [hyper(3745,a,6057,a),flip(a)]. 6154 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(171,a,5339,a(flip),b,6057,a)]. 6155 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(3043(a,1),6057(a,1,1,2))]. 6156 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6057(a,1),4741(a,1))]. 6157 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(4824(a,1),6057(a,1,1))]. 6158 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(5340(a,1),6057(a,1,1))]. 6159 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(5343(a,1),6057(a,1,1))]. 6161 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6153(a,1),4025(a,1,1))]. 6162 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(171,a,2269,a(flip),b,6064,a)]. 6163 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(171,a,3741,a(flip),b,6154,a(flip))]. 6165 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(13(a,1),6163(a,1,2,2)),flip(a)]. 6166 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(63(a,1),6162(a,1,1,2)),flip(a)]. 6167 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(3497(a,1),6018(a,1,1,2))]. 6168 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(6167(a,1),60(a,1,2))]. 6170 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(295(a,1),6167(a,1,1))]. 6171 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6167(a,1),803(a,1,1))]. 6172 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(214,a,6168,a),flip(a)]. 6173 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(3767(a,2),6168(a,1,2))]. 6174 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(219,a,6171,a),flip(a)]. 6175 x / (L(K(y,z),u,w) * x) != v5 | L(K(z,y),u,w) = v5. [para(6171(a,1),211(a,1,2)),flip(b)]. 6176 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(5128(a,1),6171(a,1,1)),flip(a)]. 6177 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6171(a,1),5621(a,2,1))]. 6178 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6174(a,1),19(a,1)),flip(a)]. 6179 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6174(a,1),203(a,1,2)),flip(b)]. 6180 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(6172(a,1),203(a,1,2)),flip(b)]. 6181 K(x,y * (z * K(u,x))) = K(x,y * z). [para(6172(a,1),6015(a,1,2)),flip(a)]. 6182 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(189(a,1),6181(a,1,2,2))]. 6183 K(x,y * (T(z,x) / u)) = K(x,y * (z / u)). [para(1512(a,1),6181(a,1,2,2))]. 6184 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(3983(a,1),6181(a,1,2,2)),flip(a)]. 6185 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(2227(a,1),6184(a,1,2,2)),flip(a)]. 6186 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(2914(a,2),6184(a,1,2,2,1))]. 6187 K(x \ y,z * (x / ((x \ y) * x))) = K(x \ y,z * (x / y)). [para(2577(a,1),6183(a,1,2,2))]. 6188 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(2913(a,1),6186(a,1,2,2,1))]. 6189 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(4565(a,1),6188(a,1,2,2))]. 6190 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(2865(a,2),6185(a,2,2,2)),flip(a)]. 6191 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(4211(a,1),6189(a,1,2,2)),flip(a)]. 6192 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6170(a,1),5055(a,1))]. 6193 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(171,a,4402,a(flip),b,6033,a)]. 6194 L(K(x,y),z * T(y,u),w) != v5 | K(x,L(y,z,w)) = v5. [para(6033(a,2),4761(a,1))]. 6196 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(16(a,1),6193(a,1,2)),flip(a)]. 6197 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(100(a,1),6193(a,1,2))]. 6198 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(137(a,1),6193(a,1,2))]. 6199 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(136(a,1),6193(a,1,2)),flip(a)]. 6200 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(6197(a,1),89(a,1,2))]. 6201 L(K(x,y),y * z,u) != w | K(x,L(y,z,u)) = w. [para(100(a,1),6194(a,1,2))]. 6202 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(171,a,4028,a(flip),b,6042,a)]. 6203 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(6094(a,1),6055(a,1))]. 6204 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1488(a,1),6062(a,1,2)),flip(a)]. 6205 x \ (y * (((y \ x) \ z) \ z)) = K(y \ x,x \ (y * z)). [hyper(171,a,3245,a(flip),b,6105,a(flip)),flip(a)]. 6206 K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). [hyper(171,a,3935,a,b,6126,a)]. 6207 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(171,a,6125,a(flip),b,6126,a)]. 6209 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(171,a,4984,a(flip),b,6133,a)]. 6211 K(x,T(y,z * L(x,u,w))) = K(x,T(y,z)). [para(15(a,1),6209(a,1,2,2)),flip(a)]. 6212 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(114(a,1),6209(a,1,2,2)),flip(a)]. 6213 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(345(a,1),6209(a,1,2,2))]. 6214 K(x,T(y / (z * L(x,u,w)),z)) = K(x,(z * L(x,u,w)) \ y). [para(102(a,1),6211(a,1,2)),flip(a)]. 6215 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(171,a,6136,a(flip),b,6212,a(flip)),flip(a)]. 6216 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),6215(a,1,2,2,2)),flip(a)]. 6217 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(6216(a,1),4751(a,1))]. 6218 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(6180,a,3765,a(flip)),flip(a)]. 6219 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(3849(a,1),6180(a,1,1,2))]. 6220 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(171,a,5792,a,b,6202,a(flip)),flip(a)]. 6221 T((x * (((x \ y) \ z) \ z)) / y,u) = (y * T(K(x \ y,y \ (x * z)),u)) / y. [para(6205(a,1),279(a,1,1,2,1)),flip(a)]. 6222 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(171,a,3934,a,b,6061,a)]. 6223 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(6078(a,1),4228(a,1,1)),flip(a)]. 6224 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(421(a,1),6145(a,1,2,2))]. 6225 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(4765,a,6224,a),flip(a)]. 6226 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(4751,a,6225,a)]. 6227 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(502,a,6173,a)]. 6228 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(17,a,3521,a,b,6200,a)]. 6229 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(17,a,3518,a,b,6200,a)]. 6230 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(84(a,1),6200(a,2,2))]. 6231 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(3511(a,1),6200(a,2,2))]. 6232 K(x,((x \ 1) * y) \ z) = K(x,y \ ((x \ 1) \ z)). [para(169(a,1),6228(a,1,2))]. 6233 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(40(a,1),6229(a,1,2))]. 6234 K(x,L(y,x,z)) = K(x,y). [hyper(3832,a,6230,a),flip(a)]. 6235 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(171,a,5782,a(flip),b,6230,a(flip)),flip(a)]. 6237 K(R(x,x \ 1,y),L(z,x,u)) = K(x,z). [hyper(171,a,5185,a,b,6234,a(flip)),flip(a)]. 6238 L(K(x,y),z,y * x) = K(x,y). [hyper(171,a,5781,a(flip),b,6234,a(flip)),flip(a)]. 6239 T(x,L(y,x,z)) = x * K(x,y). [para(6234(a,1),2793(a,2,2))]. 6242 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(6238(a,1),5594(a,1,1))]. 6243 T(x,L(y,x,z)) = T(x,y). [hyper(171,a,2793,a,b,6239,a)]. 6244 K(L(x,y,z),y) = (u * T(y,x)) \ (u * y). [para(6243(a,1),3711(a,1,1,2)),flip(a)]. 6245 (x * T(y,z)) \ (x * y) != u | K(L(z,y,w),y) = u. [para(6243(a,1),3714(a,1,1,2))]. 6246 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(6243(a,1),5535(a,1,1,2)),flip(a)]. 6247 K(L(x,y,z),y) = K(x,y). [hyper(171,a,3711,a(flip),b,6244,a)]. 6248 K((x / y) \ (z \ x),z) = K(z \ y,z). [hyper(5332,a,6247,a)]. 6249 K((1 / x) * y,x) = K(x \ y,x). [para(309(a,1),6247(a,1,1))]. 6250 K(L(x,y / z,u),y / z) != w | K(x,(z / y) \ 1) = w. [para(6247(a,2),3409(a,1))]. 6251 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(6247(a,1),5420(a,1,2,2))]. 6252 K(x \ ((1 / x) \ y),x) = K(y,x). [para(14(a,1),6249(a,1,1)),flip(a)]. 6253 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(3350,a,6252,a)]. 6255 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(60(a,1),6248(a,1,1,1))]. 6256 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(6253(a,1),4688(a,1,2,1)),flip(a)]. 6257 L(x,T(y,x),z) = L(x,y,z). [hyper(171,a,28,a,b,6246,a),flip(a)]. 6259 L(x,y / x,z) = L(x,x \ y,z). [para(102(a,1),6257(a,1,2)),flip(a)]. 6260 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(6259(a,1),4711(a,1,1))]. 6261 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(6259(a,1),4811(a,1,1))]. 6262 K(L(x,x \ 1,y),z) = K(x,z). [hyper(171,a,225,a(flip),b,6260,a)]. 6263 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(13(a,1),6260(a,1,1,2)),flip(a)]. 6264 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(2755(a,2),6260(a,1,1,2))]. 6265 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(4760,a,6262,a),flip(a)]. 6266 K(L(x,y,z),x * y) = K(x,x * y). [hyper(3801,a,6263,a),flip(a)]. 6267 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(171,a,6056,a(flip),b,6263,a(flip))]. 6270 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(6265(a,1),4755(a,1))]. 6271 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(68,a,6235,a(flip),b,100,a(flip))]. 6272 ((x / y) * (z * y)) / (y * z) = x / T(y,z). [hyper(171,a,3706,a(flip),b,6271,a)]. 6273 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(171,a,271,a(flip),b,6271,a(flip))]. 6275 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),6273(a,1,1,2))]. 6276 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(6273(a,1),3534(a,1,2))]. 6281 L(K(x,y),K(z,x),u) = K(x,y). [hyper(6270,a,6264,a),flip(a)]. 6283 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(6281(a,1),89(a,1,2))]. 6284 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(6281(a,1),303(a,1,2,1))]. 6285 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(3772,a,6283,a)]. 6286 R(x,K(y,z),K(z,u)) = x. [hyper(325,a,6283,a)]. 6287 (x / R(y,z,y)) * y = x * (K(u,y) * K(y,y * u)). [hyper(171,a,4808,a,b,6283,a(flip)),flip(a)]. 6288 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(3854(a,2),6283(a,2,2))]. 6289 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [hyper(171,a,703,a(flip),b,6286,a(flip)),flip(a)]. 6290 (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(6286(a,1),2443(a,1,1,1))]. 6291 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(3427(a,1),6286(a,1,3))]. 6292 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(3497(a,1),6286(a,1,2))]. 6294 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(6292(a,1),96(a,1,1)),flip(a)]. 6295 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(6292(a,1),347(a,1,1))]. 6297 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(3854(a,2),6285(a,1,1,2))]. 6298 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(138,a,6288,a,b,414,a)]. 6299 (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(171,a,5944,a,b,6288,a(flip)),flip(a)]. 6301 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(3706(a,1),6288(a,1,1)),flip(a)]. 6302 R(K(x,y),K(y,z),u) = K(x,y). [hyper(2438,a,6289,a)]. 6303 L(x,K(y,z),K(u,y)) = x. [hyper(298,a,6289,a)]. 6304 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(3854(a,2),6289(a,1,1))]. 6305 L(x,K(y,z),K(y,u)) = x. [para(2913(a,1),6303(a,1,3))]. 6306 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(6303(a,1),5926(a,2,1))]. 6307 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(171,a,3377,a(flip),b,6305,a(flip)),flip(a)]. 6308 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(6305(a,1),89(a,1,2))]. 6309 L(x,K(y,z),K(z,u)) = x. [para(2914(a,1),6305(a,1,2))]. 6310 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(171,a,1472,a(flip),b,6309,a)]. 6311 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(6309(a,1),89(a,1,2))]. 6312 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(3497(a,1),6309(a,1,2))]. 6313 R(K(x,y),K(z,y),u) = K(x,y). [para(2914(a,1),6302(a,1,2))]. 6314 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(6302(a,1),5984(a,1,1)),flip(a)]. 6315 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(6312(a,1),89(a,1,2))]. 6316 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(6310(a,1),4689(a,1,2,3))]. 6317 T(x,(y * z) / y) = T(x,y / (y / z)). [para(338(a,1),6316(a,1,2))]. 6318 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(3321,a,6317,a),flip(a)]. 6319 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,6285,a,b,6297,a(flip)),flip(a)]. 6320 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(z,x) * (K(x,y) * u)) / (K(x,y) * K(z,x))). [para(6304(a,1),2485(a,2,2,1))]. 6321 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (K(y,x) * K(u,u \ 1)). [hyper(171,a,5060,a(flip),b,6307,a(flip)),flip(a)]. 6322 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [para(12(a,1),6307(a,2,2))]. 6323 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(3867,a,6322,a(flip)),flip(a)]. 6324 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(6323(a,1),874(a,2,3))]. 6325 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [para(4240(a,1),6308(a,1,1)),flip(a)]. 6326 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [hyper(171,a,6304,a(flip),b,6311,a(flip))]. 6327 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(218,a,6319,a),flip(a)]. 6328 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)). [para(6325(a,1),846(a,1,1,2,1)),flip(a)]. 6329 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(171,a,3042,a,b,6326,a),flip(a)]. 6330 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(3048(a,1),6326(a,1,2)),flip(a)]. 6331 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(3048(a,1),6326(a,2,2))]. 6332 x / (K(y,z) * K(u,y)) = x * (K(y,u) * K(z,y)). [para(3854(a,2),6327(a,2,2))]. 6333 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(3070,a,6330,a)]. 6334 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(68,a,6330,a(flip),b,6289,a)]. 6335 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(3070,a,6331,a)]. 6336 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(362,a,6332,a)]. 6337 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(4262(a,2),6333(a,1,1))]. 6338 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(3074(a,1),6334(a,1,1))]. 6339 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(6335(a,1),1724(a,1,1,1,1))]. 6340 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(6336(a,1),3880(a,1,2)),flip(a)]. 6341 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [para(3854(a,1),6340(a,1,1))]. 6342 (x / R(y,z,y)) * y = x * (y \ L(y,u,y)). [para(4055(a,1),6287(a,2,2))]. 6343 R(x,y,x) \ x = x \ L(x,z,x). [hyper(1041,a,6342,a)]. 6344 R(x,y,x) \ 1 = x \ (x \ L(x,z,x)). [hyper(67,a,6343,a(flip),b,1102,a),flip(a)]. 6345 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,u,x) \ 1). [para(6344(a,2),1091(a,2,2))]. 6349 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(171,a,4693,a(flip),b,6301,a)]. 6351 x / L(y,z,y) = (x / y) * a(u,w,u). [para(3319(a,2),6349(a,1,2)),flip(a)]. 6352 (x * y) / L(y,z,y) = x * a(u,w,u). [para(15(a,1),6351(a,2,1))]. 6354 (x / L(y,z,y)) * y = x * a(u,w,u). [hyper(171,a,1748,a(flip),b,6352,a(flip)),flip(a)]. 6355 L(x,y,x) = (z * a(u,w,u)) \ (z * x). [para(6352(a,1),63(a,1,1)),flip(a)]. 6356 (x * L(y,z,y)) * a(u,w,u) = x * y. [para(15(a,1),6354(a,1,1)),flip(a)]. 6357 L(T(x,y),z,T(x,y)) = ((y * x) * a(u,w,u)) \ ((x * y) * x). [para(559(a,1),6355(a,2,2))]. 6358 K(x,x * y) * (z * u) = K(x,y) * (z * L(u,w,u)). [para(6356(a,1),3311(a,1,2))]. 6359 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(2768(a,1),6329(a,1,2))]. 6360 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(3934(a,2),6222(a,1,1))]. 6361 (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(1039(a,2),6231(a,2,2))]. 6362 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(300(a,1),6267(a,2,2))]. 6363 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(3745,a,6360,a)]. 6364 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(171,a,6121,a(flip),b,6363,a)]. 6365 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(6363(a,2),6123(a,1))]. 6366 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),6364(a,1,2,1,1)),flip(a)]. 6367 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(1475(a,1),6366(a,1,2,1)),flip(a)]. 6368 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(1481(a,2),6366(a,1,2,1)),flip(a)]. 6369 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(171,a,6104,a(flip),b,6367,a(flip))]. 6370 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(171,a,6084,a(flip),b,6369,a(flip))]. 6371 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(5256,a,6370,a),flip(a)]. 6372 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(171,a,5236,a(flip),b,6371,a(flip)),flip(a)]. 6373 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(50(a,1),6059(a,2,1))]. 6374 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(1099(a,1),6059(a,2,1))]. 6375 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6373(a,1),3928(a,1,2)),flip(a)]. 6376 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(171,a,6226,a(flip),b,6089,a(flip)),flip(a)]. 6377 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(171,a,5802,a(flip),b,6152,a(flip))]. 6378 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(171,a,5312,a(flip),b,6377,a(flip))]. 6379 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(106(a,1),6377(a,2,2))]. 6380 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(171,a,5346,a(flip),b,6379,a(flip)),flip(a)]. 6382 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(13(a,1),6380(a,2,2))]. 6383 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [para(11(a,1),6378(a,2,2,1))]. 6384 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(51(a,1),6378(a,1,2,2))]. 6385 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(171,a,5349,a(flip),b,6383,a(flip)),flip(a)]. 6386 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(3043(a,1),6192(a,1,1,2))]. 6387 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(5343(a,1),6192(a,1,1))]. 6388 K(T(x / (y * L(z,u,w)),y),z) = (K(z,(y * L(z,u,w)) \ x) \ v5) / v5. [para(6214(a,1),3044(a,1,1,1)),flip(a)]. 6389 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(6219,a,5307,a(flip)),flip(a)]. 6390 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(4262(a,2),6337(a,2,2,1))]. 6391 R(x,y,x) \ T(x,z) = x \ ((x \ L(x,u,x)) * T(x,z)). [hyper(171,a,1924,a(flip),b,6345,a),flip(a)]. 6392 R(x,y,x) \ T(x,z) = x \ (K(x,z) * L(x,u,x)). [para(2952(a,1),6391(a,2,2))]. 6393 R(x,y,x) \ T(x,z) = x \ L(T(x,z),u,x). [para(3297(a,1),6392(a,2,2))]. 6394 R((x * y) / x,z,y) \ y = y \ L(T(y,x),u,y). [hyper(171,a,5451,a,b,6393,a(flip)),flip(a)]. 6395 R(x * K(y,x),z,x) = (x \ L(T(x,y),u,x)) \ x. [para(6393(a,1),5819(a,1,1)),flip(a)]. 6396 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(6394(a,1),970(a,1,1,2,1))]. 6397 L(T(x,y),z,T(x,y)) = (y * R(x,u,x)) \ ((x * y) * x). [para(1118(a,1),6357(a,2,1))]. 6398 L(T(x,y),z,x) = (y * R(x,u,x)) \ ((x * y) * x). [hyper(5712,a,6397,a)]. 6399 L(T(x,y \ 1),z,x) = T(x,y \ x). [hyper(171,a,2649,a(flip),b,6398,a)]. 6401 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(171,a,6382,a(flip),b,6376,a(flip)),flip(a)]. 6403 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(220,a,6390,a),flip(a)]. 6404 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(4262(a,2),6403(a,1,2,1))]. 6405 K(x \ (y * (x * z)),T(y,K(z,u))) = K(L(z \ 1,z,x) \ y,y). [hyper(171,a,6117,a(flip),b,6077,a(flip)),flip(a)]. 6407 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(5101(a,1),6140(a,1,1))]. 6408 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(3463(a,2),6155(a,2,2,1))]. 6409 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(171,a,736,a,b,6158,a)]. 6410 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(1983(a,2),6158(a,2,2,1,2))]. 6411 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(3104,a,6251,a)]. 6413 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(6098,a,6063,a)]. 6414 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(6161(a,1),4026(a,1))]. 6415 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6179,a,6177,a),flip(a)]. 6416 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(6220(a,1),4546(a,1))]. 6417 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(3761(a,1),6284(a,1,1)),flip(a)]. 6418 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(3856(a,2),6284(a,2,2))]. 6419 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(3863(a,1),6294(a,2,2))]. 6420 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(2978(a,2),6315(a,1,1,2,1))]. 6421 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(4083(a,1),6318(a,1,1))]. 6422 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3585(a,1),6321(a,2,2))]. 6423 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(171,a,3101,a(flip),b,6422,a)]. 6424 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(4564(a,1),6423(a,2,2))]. 6425 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(6424(a,1),723(a,1,1))]. 6426 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(6425(a,1),743(a,1,2,2))]. 6427 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(128(a,2),6338(a,1,2,2,2))]. 6428 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(171,a,6363,a(flip),b,6413,a(flip)),flip(a)]. 6429 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(171,a,146,a(flip),b,6415,a)]. 6430 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(68,a,5223,a(flip),b,6417,a)]. 6431 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(171,a,4660,a,b,6418,a(flip)),flip(a)]. 6432 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(3772,a,6419,a)]. 6433 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(50(a,1),6428(a,1,2,1))]. 6434 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(171,a,5546,a(flip),b,6433,a),flip(a)]. 6435 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(171,a,6363,a(flip),b,6434,a(flip)),flip(a)]. 6436 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(50(a,1),6435(a,1,2,1)),flip(a)]. 6437 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(171,a,4260,a(flip),b,6223,a)]. 6438 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(3775,a,6295,a)]. 6439 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(171,a,3863,a(flip),b,6438,a)]. 6440 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(3761(a,1),6439(a,1,2)),flip(a)]. 6441 T(x,a(y,z,K(x,u))) = x. [para(6440(a,1),3908(a,1,2))]. 6442 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6218(a,1),6440(a,1,2))]. 6443 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(6441(a,1),3945(a,1,2,2)),flip(a)]. 6444 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(3865,a,6442,a)]. 6445 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(3070,a,6442,a)]. 6447 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(4713(a,1),6442(a,1,2))]. 6448 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(6009(a,1),6442(a,1,2))]. 6449 K(x,y) * K(y,L(x,z,u)) = a(u,z * x,K(x,y)). [para(6023(a,1),6442(a,1,2))]. 6450 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(6442(a,1),6227(a,1,1,2))]. 6451 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(6442(a,1),6315(a,1,1)),flip(a)]. 6452 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(6442(a,1),6432(a,1,1,2))]. 6453 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6178,a,6444,a)]. 6454 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(171,a,6171,a,b,6444,a(flip)),flip(a)]. 6455 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6023(a,1),6444(a,1,1))]. 6456 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(6453(a,1),20(a,1)),flip(a)]. 6457 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(4707(a,1),6453(a,1,1))]. 6458 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [para(6454(a,1),711(a,1,1))]. 6459 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(6196(a,1),6455(a,1,1)),flip(a)]. 6461 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(18,a,6450,a,b,6452,a),flip(a)]. 6462 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [hyper(18,a,1747,a,b,6452,a)]. 6463 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(362,a,6461,a)]. 6464 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(6461(a,1),269(a,1,1))]. 6465 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [para(6463(a,1),803(a,1,1))]. 6466 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(410,a,6465,a)]. 6467 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(219,a,6465,a),flip(a)]. 6468 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(171,a,6443,a,b,6465,a)]. 6470 (x * K(y,z)) * u != x * L(K(y,z),w,v5) | a(v5,w,K(z,y)) = u. [para(6462(a,1),19(a,1)),flip(a)]. 6472 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(3017(a,2),6468(a,1,1,3))]. 6473 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(3497(a,1),6448(a,1,1))]. 6474 a(x,y * K(z,u),K(u,w)) = L(K(w,u),y,x) * K(u,w). [para(3704(a,1),6459(a,1,2))]. 6475 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [hyper(171,a,6444,a(flip),b,6474,a)]. 6477 a(x,y * z,K(z,u)) = a(x,z * y,K(z,u)). [para(84(a,1),6475(a,1,2))]. 6478 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(17,a,6468,a(flip),b,6472,a(flip)),flip(a)]. 6479 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),6478(a,1,3,2)),flip(a)]. 6480 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(3869(a,2),6479(a,1,3))]. 6481 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [para(2617(a,1),6480(a,1,3)),flip(a)]. 6482 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [para(3869(a,2),6481(a,1,3))]. 6483 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(3880(a,1),6481(a,1,3)),flip(a)]. 6484 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(2615(a,1),6482(a,1,3)),flip(a)]. 6485 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(171,a,4321,a,b,6306,a)]. 6487 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(6414,a,5616,a)]. 6488 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(4297,a,6437,a)]. 6489 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(171,a,6286,a(flip),b,6485,a(flip))]. 6490 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(4328,a,6489,a)]. 6492 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(3854(a,2),6489(a,2,2))]. 6493 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(6489(a,1),5385(a,1,1))]. 6494 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(3854(a,2),6490(a,2,2))]. 6495 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(287,a,6492,a)]. 6496 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(171,a,5069,a,b,6492,a(flip)),flip(a)]. 6497 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(5238(a,1),6494(a,1,1,2)),flip(a)]. 6498 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(171,a,6492,a(flip),b,6495,a(flip))]. 6499 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(3110,a,6498,a)]. 6500 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(6499(a,1),2796(a,1))]. 6501 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(6340(a,2),6499(a,1,2))]. 6502 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,2793,a(flip),b,6501,a)]. 6503 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(6502(a,1),2793(a,2,2)),flip(a)]. 6504 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(6492(a,2),6500(a,1))]. 6506 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(2815,a,6493,a),flip(a)]. 6508 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(171,a,6341,a(flip),b,6506,a)]. 6509 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(3436(a,1),6506(a,1,2,2)),flip(a)]. 6510 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(171,a,6502,a,b,6508,a)]. 6511 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(171,a,6404,a,b,6508,a(flip)),flip(a)]. 6512 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(171,a,6490,a(flip),b,6496,a(flip))]. 6513 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(6500,a,6512,a)]. 6514 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(171,a,2793,a(flip),b,6513,a),flip(a)]. 6515 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(171,a,4725,a(flip),b,6111,a)]. 6517 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(171,a,5530,a(flip),b,6515,a(flip)),flip(a)]. 6518 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(3568(a,1),6190(a,2,2,2))]. 6519 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(6158(a,1),6387(a,1))]. 6520 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(5068(a,1),6497(a,2,1))]. 6521 T(K(x,y) * K(z,x),u) * u = u * (K(x,y) * K(z,x)). [para(6503(a,1),2804(a,1,1))]. 6522 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(17,a,2793,a(flip),b,6514,a),flip(a)]. 6523 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(171,a,6495,a(flip),b,6520,a)]. 6524 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(5238(a,1),6523(a,1,2,2))]. 6525 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(171,a,6498,a,b,6524,a),flip(a)]. 6526 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(171,a,3043,a(flip),b,6176,a)]. 6527 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(6385(a,1),6409(a,1,1))]. 6528 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(3935(a,1),6526(a,1,1,1))]. 6529 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(3935(a,1),6528(a,1,1,1))]. 6530 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(4970(a,1),6529(a,1,1))]. 6531 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(20,a,6530,a)]. 6532 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(171,a,3649,a(flip),b,6531,a(flip))]. 6533 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [para(6532(a,2),16(a,1,1))]. 6534 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(6532(a,2),5596(a,1))]. 6535 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(1100(a,1),6533(a,1,1,2)),flip(a)]. 6536 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [para(6533(a,1),3047(a,1,2)),flip(a)]. 6537 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(4926,a,6535,a)]. 6538 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(3048(a,1),6535(a,1,2)),flip(a)]. 6539 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(6537(a,1),5221(a,1,1,2)),flip(a)]. 6540 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(171,a,3759,a(flip),b,6539,a)]. 6541 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(171,a,3435,a(flip),b,6540,a(flip)),flip(a)]. 6542 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(3070,a,6538,a),flip(a)]. 6543 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(4388(a,1),6538(a,1,1))]. 6544 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(67,a,54,a(flip),b,6542,a),flip(a)]. 6545 (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(67,a,6544,a,b,1644,a)]. 6547 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(171,a,6531,a(flip),b,6536,a(flip)),flip(a)]. 6548 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(6547(a,2),16(a,1,1))]. 6549 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6548(a,1),4823(a,1,2,1)),flip(a)]. 6550 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(6548(a,1),4888(a,1,2)),flip(a)]. 6551 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(6548(a,1),5318(a,1,2,2,1)),flip(a)]. 6552 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6548(a,1),6091(a,1,2,2)),flip(a)]. 6553 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(6548(a,1),6132(a,1,2,2)),flip(a)]. 6554 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [para(2896(a,1),6549(a,1,2,1,2)),flip(a)]. 6555 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(300(a,1),6552(a,1,2))]. 6556 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(4420(a,1),6553(a,1,2,2,2))]. 6557 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(100(a,1),6554(a,1,2,1)),flip(a)]. 6558 K(T(x,y * (z * K(u,w))),w) = (v5 * K(w,T(x,y * z))) \ v5. [para(6556(a,1),3759(a,1,1,2)),flip(a)]. 6559 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(171,a,5739,a(flip),b,6550,a(flip))]. 6561 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(171,a,5239,a(flip),b,6559,a(flip))]. 6562 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(6559(a,2),5040(a,1))]. 6563 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(6561(a,1),2874(a,2,2,2))]. 6564 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(3440(a,1),6562(a,1))]. 6565 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(6563(a,2),2876(a,1))]. 6566 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(6565,a,5746,a),flip(a)]. 6568 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(3115,a,6566,a)]. 6569 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(171,a,5570,a(flip),b,6551,a(flip)),flip(a)]. 6570 K(T(x,y * (z * K(u,w))),w) = K(x,T(w,y * z)). [hyper(171,a,3957,a(flip),b,6558,a)]. 6572 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(6534,a,5660,a),flip(a)]. 6573 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),6572(a,1,2,2,2)),flip(a)]. 6574 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),6573(a,2,2))]. 6576 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(5603,a,6574,a)]. 6577 K(x,R(y,x,z)) = K(x,y). [hyper(171,a,6238,a(flip),b,6574,a(flip))]. 6578 K(R(x,y,z),y) = K(x,y). [hyper(6564,a,6577,a)]. 6580 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(171,a,5511,a(flip),b,6577,a(flip)),flip(a)]. 6581 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),6577(a,1,2))]. 6582 T(x,R(y,x,z)) = x * K(x,y). [para(6577(a,1),2793(a,2,2))]. 6584 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(171,a,5672,a(flip),b,6578,a(flip)),flip(a)]. 6585 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6578(a,1),3011(a,1,1))]. 6586 T(x,R(y,x,z)) = T(x,y). [hyper(171,a,2793,a,b,6582,a)]. 6588 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(343(a,1),6586(a,1,2))]. 6589 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(6276,a,6580,a)]. 6591 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(171,a,6088,a,b,6580,a(flip)),flip(a)]. 6592 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(171,a,5659,a(flip),b,6580,a(flip)),flip(a)]. 6594 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(171,a,6114,a,b,6584,a(flip)),flip(a)]. 6595 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(6589(a,1),5663(a,1,2))]. 6596 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(13(a,1),6591(a,1,2,1)),flip(a)]. 6597 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(6594(a,1),3890(a,1,1))]. 6598 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(2605(a,1),6596(a,1,2,2))]. 6599 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(171,a,3442,a,b,6581,a(flip)),flip(a)]. 6600 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(6576(a,1),330(a,1,1))]. 6601 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(171,a,5316,a(flip),b,6592,a(flip))]. 6602 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(4006,a,6597,a)]. 6603 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(171,a,5263,a(flip),b,6602,a(flip)),flip(a)]. 6604 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(6603(a,1),3759(a,1,1,2)),flip(a)]. 6605 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(171,a,6596,a(flip),b,6601,a(flip))]. 6606 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(6605(a,1),4641(a,1))]. 6607 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(171,a,3499,a(flip),b,6585,a(flip))]. 6609 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1489(a,1),6607(a,1,2,1))]. 6610 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(6609(a,1),63(a,1,1)),flip(a)]. 6611 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(73,a,6610,a)]. 6612 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(2796,a,6595,a),flip(a)]. 6613 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(171,a,3759,a(flip),b,6604,a)]. 6614 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(4584,a,6613,a)]. 6615 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(60(a,1),6614(a,1,2,1,2)),flip(a)]. 6616 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(171,a,5351,a,b,6615,a(flip)),flip(a)]. 6617 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(6577(a,1),6599(a,1,1))]. 6618 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(6617(a,2),3289(a,2,1)),flip(a)]. 6620 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(171,a,5099,a(flip),b,6600,a(flip))]. 6621 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(2858(a,1),6620(a,2,1))]. 6622 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(171,a,4860,a(flip),b,6621,a(flip)),flip(a)]. 6624 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(368,a,6622,a)]. 6625 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(67,a,3754,a(flip),b,6622,a)]. 6627 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(67,a,14,a(flip),b,6622,a),flip(a)]. 6628 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(171,a,6242,a,b,6622,a(flip)),flip(a)]. 6629 (K(x,y) * z) * (K(y,T(x,z)) * u) = (z * K(x,y)) * (K(y,x) * u). [para(3951(a,1),6622(a,1,2))]. 6630 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(6627(a,1),2768(a,1,2)),flip(a)]. 6631 K(x * ((y * z) \ u),z) = K(x * ((z * y) \ u),z). [para(6627(a,1),4010(a,1,1,2))]. 6632 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [hyper(171,a,161,a(flip),b,6628,a)]. 6633 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),6628(a,1,2,1))]. 6634 K(x,y) * ((y * x) * z) != u | (x * y) * z = u. [para(6628(a,1),3054(a,1,2)),flip(b)]. 6635 K(x,y) * ((y * R(x,z,R(x,u,w))) * v5) = (R(x,z,R(x,u,w)) * y) * v5. [para(5191(a,1),6628(a,1,1))]. 6636 K(x \ ((y * z) * u),z) = K(x \ ((z * y) * u),z). [para(6628(a,1),6065(a,1,1,2)),flip(a)]. 6637 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(5095(a,1),6624(a,1,2)),flip(a)]. 6638 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(171,a,5397,a(flip),b,6625,a)]. 6639 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(171,a,4807,a(flip),b,6625,a)]. 6640 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(6625(a,2),3855(a,1))]. 6641 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(220,a,6633,a),flip(a)]. 6643 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(6632(a,1),6091(a,1,2,2)),flip(a)]. 6644 K(x,y) * ((y * R(x,z,u)) * x) != w | (x * y) * R(x,z,u) = w. [para(1763(a,2),6634(a,1,2))]. 6645 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(171,a,6641,a(flip),b,6637,a(flip))]. 6646 (1 / x) \ ((x \ 1) * y) = (x * (1 / x)) \ y. [hyper(66,a,1280,a,b,6645,a),flip(a)]. 6647 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(6640,a,5899,a),flip(a)]. 6648 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(171,a,6401,a(flip),b,6643,a)]. 6650 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(171,a,4890,a(flip),b,6648,a(flip)),flip(a)]. 6651 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(171,a,6165,a(flip),b,6598,a(flip))]. 6652 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(3445(a,1),6618(a,2,1))]. 6653 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(171,a,3289,a(flip),b,6652,a)]. 6654 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(6617(a,1),6653(a,1,1))]. 6655 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(171,a,5168,a(flip),b,6654,a)]. 6656 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(6644,a,6635,a),flip(a)]. 6657 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(171,a,42,a,b,6588,a(flip)),flip(a)]. 6658 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(718(a,1),6616(a,2,2,2,1))]. 6659 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(171,a,909,a(flip),b,6657,a)]. 6660 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(171,a,6149,a(flip),b,6658,a)]. 6661 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(171,a,4424,a(flip),b,6660,a)]. 6662 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(171,a,6234,a(flip),b,6661,a(flip)),flip(a)]. 6664 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(171,a,5754,a,b,6662,a(flip)),flip(a)]. 6665 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(171,a,986,a,b,6662,a(flip)),flip(a)]. 6666 K(x,x \ T(x * y,z)) = K(x,T(y,z)). [para(13(a,1),6662(a,2,2,1))]. 6667 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(6662(a,1),2793(a,2,2)),flip(a)]. 6668 K(x,T(y,z)) \ T(x * y,z) = (x \ T(x * y,z)) * x. [para(6666(a,1),2813(a,1,1))]. 6669 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(6664(a,1),2800(a,2,1)),flip(a)]. 6670 T(x,x \ T(y,z)) = T(x,T(x \ y,z)). [hyper(2796,a,6667,a),flip(a)]. 6671 K(x,T(y,z)) \ T(x * y,z) = T(y * x,z). [hyper(171,a,845,a(flip),b,6668,a)]. 6672 K(T(x,y),T(z,x * z)) \ (T(x,T(y,z)) * z) = T(z * T(x,y),x * z). [para(4929(a,1),6671(a,1,2))]. 6673 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(171,a,5391,a(flip),b,6669,a(flip))]. 6674 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(6673(a,2),4135(a,1,2))]. 6675 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(182,a,6674,a)]. 6676 K(T(x,y),T(z,x)) \ (T(x,T(y,z)) * z) = T(z * T(x,y),x * z). [para(1443(a,1),6672(a,1,1))]. 6677 K(x,T(T(y,x),z)) \ (T(x,T(z,y)) * y) = T(y * T(x,z),x * y). [para(3935(a,1),6676(a,1,1))]. 6678 K(x,T(y,z)) \ (T(x,T(z,y)) * y) = T(y * T(x,z),x * y). [para(2628(a,1),6677(a,1,1))]. 6679 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(171,a,42,a,b,6659,a)]. 6680 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(6612(a,1),6679(a,1,1))]. 6681 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),6680(a,1,1,2,2)),flip(a)]. 6682 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(6681(a,1),3474(a,1,2,1))]. 6683 T((x * (((x \ y) \ z) \ z)) / y,u) = (y * K(x \ y,T(y \ (x * z),u))) / y. [para(3934(a,2),6221(a,2,1,2))]. 6684 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(171,a,4688,a(flip),b,6256,a)]. 6685 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(60(a,1),6684(a,1,1,2,1,2,1))]. 6686 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(171,a,4916,a(flip),b,6685,a(flip)),flip(a)]. 6687 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(4538,a,6686,a)]. 6688 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(4258(a,1),6511(a,1,2,2,2))]. 6689 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(4388(a,1),6543(a,1,2,2,1))]. 6691 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1753(a,1),6638(a,1,2))]. 6692 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(451,a,6691,a),flip(a)]. 6693 K(x * L(y,z,u),y) * K(y,x) = a(y,x,L(y,z,u)). [hyper(5401,a,6692,a)]. 6694 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(5400,a,6692,a)]. 6695 K(L(x,y,z) * u,x) * K(x,u) = a(x,u,L(x,y,z)). [para(4017(a,2),6693(a,1,1))]. 6696 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(171,a,5160,a(flip),b,6695,a(flip)),flip(a)]. 6697 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(6696(a,1),721(a,1,1))]. 6698 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1770(a,1),6639(a,1,2))]. 6699 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(451,a,6698,a),flip(a)]. 6700 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(6698(a,1),451(a,1))]. 6701 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(171,a,4807,a,b,6699,a(flip)),flip(a)]. 6702 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(6699(a,1),5259(a,1,2)),flip(a)]. 6703 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(5580(a,2),6699(a,1,2))]. 6705 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(6701(a,1),3859(a,1,1))]. 6706 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(5205(a,1),6701(a,1,1))]. 6707 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(16(a,1),6705(a,1,2,2))]. 6708 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(3039,a,6702,a)]. 6709 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(171,a,615,a(flip),b,6708,a(flip)),flip(a)]. 6710 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(171,a,5653,a(flip),b,6709,a(flip))]. 6711 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(3475,a,6682,a),flip(a)]. 6712 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [para(6711(a,1),1173(a,1,2))]. 6714 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),w,R(x,y,z)). [para(6711(a,1),2740(a,1,1,2))]. 6715 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(171,a,3392,a(flip),b,6712,a(flip)),flip(a)]. 6716 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [para(6715(a,2),63(a,1,1))]. 6717 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2178(a,1),6716(a,1,1,1))]. 6718 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(463(a,1),6717(a,1,1)),flip(a)]. 6719 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(718(a,1),6718(a,1,2,2))]. 6720 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(718(a,1),6719(a,1,2,1,2,1))]. 6721 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(2599(a,1),6720(a,1,2,1)),flip(a)]. 6722 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),w,R(x,z,u)). [para(3241(a,1),6714(a,1,1))]. 6723 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),w,R(x,z,u)). [hyper(171,a,42,a,b,6722,a(flip)),flip(a)]. 6724 R(L(x,y,x),z,u) = L(R(x,z,u),w,R(x,z,u)). [para(2740(a,1),6723(a,1,1))]. 6725 L(R(x,y,z),u,R(x,y,z)) = L(R(x,y,z),w,x). [hyper(171,a,44,a(flip),b,6724,a(flip))]. 6726 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(6725(a,1),1411(a,1,1,1)),flip(a)]. 6727 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(5961(a,1),6721(a,1,1)),flip(a)]. 6728 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(6727(a,1),63(a,1,1))]. 6729 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(171,a,2268,a(flip),b,6728,a(flip)),flip(a)]. 6730 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(3183,a,6688,a)]. 6731 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(4258(a,1),6730(a,1,1))]. 6732 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(6700,a,6703,a)]. 6733 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(171,a,5150,a(flip),b,6732,a(flip))]. 6734 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(2725,a,6733,a)]. 6735 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(5844,a,6710,a)]. 6738 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(6656(a,1),6735(a,2,2,2))]. 6739 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),6738(a,2,2,2,1))]. 6740 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),6739(a,2,2))]. 6742 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(171,a,6699,a(flip),b,6740,a)]. 6743 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(171,a,5845,a(flip),b,6742,a(flip))]. 6745 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(6309(a,1),6298(a,1,1,1)),flip(a)]. 6746 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(3854(a,1),6745(a,1,2,2))]. 6747 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(6746(a,1),3713(a,1,1))]. 6748 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(709(a,2),6747(a,1,1,1)),flip(a)]. 6749 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(6494(a,1),6748(a,2,1))]. 6750 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(171,a,2744,a,b,6749,a)]. 6751 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(3043(a,1),6750(a,1,2))]. 6752 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(171,a,6502,a(flip),b,6751,a)]. 6753 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(6372(a,2),4765(a,1))]. 6754 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(3942(a,1),6706(a,1,2)),flip(a)]. 6755 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(171,a,6701,a(flip),b,6754,a)]. 6757 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(102(a,1),6755(a,1,2)),flip(a)]. 6758 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(6757(a,1),6707(a,1,1))]. 6759 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(171,a,3993,a(flip),b,6758,a)]. 6760 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(171,a,6038,a(flip),b,6555,a(flip))]. 6762 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(171,a,6549,a(flip),b,6760,a(flip))]. 6764 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),6762(a,2,2))]. 6765 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(2913(a,1),6764(a,1,2,2,1))]. 6766 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(6765(a,1),3072(a,1,2,2)),flip(a)]. 6767 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(171,a,3072,a(flip),b,6766,a)]. 6768 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(2761(a,1),6767(a,1,1,2)),flip(a)]. 6770 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,1),6362(a,1,2,1))]. 6772 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),6770(a,1,2))]. 6773 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(171,a,6053,a(flip),b,6772,a(flip)),flip(a)]. 6774 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(171,a,6034,a(flip),b,6773,a)]. 6777 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),6774(a,2,2,2))]. 6778 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(171,a,5428,a(flip),b,6777,a(flip))]. 6779 K(L(x,T(y * (x \ z),y),u),R(y,w,y)) = K(x,L(R(y,w,y),z,u)). [para(1116(a,1),6777(a,1,1,2))]. 6780 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(171,a,4856,a(flip),b,6778,a(flip)),flip(a)]. 6782 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,w,y),z,u)). [hyper(2998,a,6779,a)]. 6784 K(L(x,y * (x \ z),u),y) = K(x,L(R(y,w,y),z,u)). [hyper(171,a,6768,a(flip),b,6782,a(flip)),flip(a)]. 6785 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(6784(a,2),3084(a,1))]. 6786 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(196(a,1),6389(a,2,1,2))]. 6787 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1750(a,1),6786(a,1,2)),flip(a)]. 6788 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(4787,a,6787,a)]. 6789 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(171,a,4699,a(flip),b,6787,a(flip))]. 6790 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(171,a,5632,a(flip),b,6788,a(flip))]. 6792 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(171,a,4144,a(flip),b,6790,a)]. 6793 K(x \ L(y,z,u),y) != w | K(x \ y,y) = w. [para(6790(a,2),4145(a,1))]. 6794 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(6416,a,6792,a)]. 6795 K(((L(x,y,z) * u) / w) \ x,x) = K(w / u,x). [para(13(a,1),6794(a,1,1,2)),flip(a)]. 6796 K(x / (L(y,z,u) * w),y) = K(x / (w * y),y). [hyper(171,a,5550,a(flip),b,6795,a(flip)),flip(a)]. 6798 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(6793,a,6789,a),flip(a)]. 6800 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(100(a,1),6429(a,1,1))]. 6801 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(4935(a,1),6509(a,2,2))]. 6802 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(171,a,6506,a(flip),b,6801,a)]. 6803 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(3436(a,1),6802(a,1,1,2))]. 6804 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(6387,a,6527,a),flip(a)]. 6805 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(3329,a,6804,a)]. 6806 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(6519,a,6805,a)]. 6807 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(268(a,1),6806(a,1,2,1,2))]. 6808 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(171,a,5528,a(flip),b,6807,a)]. 6809 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),6808(a,1,2,2))]. 6810 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(3559,a,6809,a)]. 6811 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(171,a,6807,a(flip),b,6810,a(flip)),flip(a)]. 6812 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(171,a,6159,a,b,6811,a(flip)),flip(a)]. 6813 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(171,a,4824,a,b,6811,a(flip)),flip(a)]. 6814 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(12(a,1),6811(a,2,2,1))]. 6815 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(2804(a,1),6811(a,1,2,1)),flip(a)]. 6817 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(6811(a,1),4848(a,1,2,2))]. 6818 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(6811(a,1),6157(a,1,1))]. 6819 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(171,a,6557,a,b,6814,a(flip)),flip(a)]. 6820 K(x,y \ ((x \ 1) \ z)) = K(x,y \ (z * x)). [hyper(171,a,6232,a(flip),b,6819,a(flip)),flip(a)]. 6821 K(x,x \ ((x \ 1) \ y)) = K(x,y). [hyper(171,a,2627,a(flip),b,6820,a)]. 6822 K(x,(x \ 1) * y) = K(x,x \ y). [para(13(a,1),6821(a,1,2,2)),flip(a)]. 6823 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(1034(a,2),6822(a,1,2,1)),flip(a)]. 6824 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(6822(a,2),5442(a,1,1,2))]. 6825 (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(5112(a,1),6824(a,1,1,2))]. 6826 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(3090(a,2),6815(a,1,2,1,1))]. 6827 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(3107,a,6817,a),flip(a)]. 6828 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(5297,a,6827,a)]. 6829 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(12(a,1),6828(a,2,1,1))]. 6830 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(6828(a,1),6407(a,1,1,2,2))]. 6831 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(171,a,4810,a,b,6829,a(flip)),flip(a)]. 6832 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(171,a,4731,a,b,6829,a(flip)),flip(a)]. 6833 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [hyper(171,a,3593,a(flip),b,6832,a)]. 6834 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(2619(a,2),6832(a,1,1))]. 6835 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(6832(a,1),6442(a,1,2))]. 6836 K(x \ (y * (x * z)),T(y,K(u,x \ (y * (x * z))))) = L(K(y * z,y),z,x). [hyper(171,a,3941,a,b,6833,a),flip(a)]. 6837 L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). [para(2619(a,2),6833(a,1,1))]. 6838 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(6833(a,1),6036(a,2,1))]. 6839 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(100(a,1),6834(a,2,1,2))]. 6840 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(6835(a,1),4054(a,1,2))]. 6841 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(6456,a,6840,a)]. 6842 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(14(a,1),6841(a,2,2,2,1))]. 6843 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(3127,a,6826,a)]. 6844 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(171,a,6812,a(flip),b,6818,a(flip))]. 6845 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(171,a,6116,a(flip),b,6844,a(flip)),flip(a)]. 6846 K(L(x \ 1,x,y) \ z,z) = L(K(z * x,z),x,y). [hyper(171,a,6405,a(flip),b,6836,a(flip)),flip(a)]. 6847 x / (L(K(y * z,y),z,u) * x) = K(y,L(z \ 1,z,u) \ y). [para(6846(a,1),3047(a,1,2,1))]. 6848 K(x,L(y \ 1,y,z) \ x) = L(K(x,x * y),y,z). [hyper(6175,a,6847,a),flip(a)]. 6849 L(K(x,x * ((y * z) \ y)),(y * z) \ y,z * y) = K(x,z \ x). [para(2912(a,1),6848(a,1,2,1)),flip(a)]. 6850 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(4465(a,1),6839(a,1,1))]. 6852 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(6050(a,1),6850(a,1,1)),flip(a)]. 6853 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(5220,a,6852,a),flip(a)]. 6855 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(171,a,5539,a,b,6845,a(flip))]. 6856 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(171,a,6213,a(flip),b,6855,a)]. 6857 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),6856(a,1,2,1)),flip(a)]. 6858 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(171,a,4005,a(flip),b,6857,a(flip))]. 6859 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(171,a,3879,a(flip),b,6858,a)]. 6860 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(3561,a,6859,a),flip(a)]. 6861 K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. [para(6859(a,1),3561(a,1))]. 6862 K(x,x \ (y * (x * z))) = K(x,y * z). [para(13(a,1),6860(a,2,2,2))]. 6863 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(6860(a,1),3759(a,1,1,2))]. 6864 K(x,y * (x * z)) = K(x,y * z). [hyper(3026,a,6862,a)]. 6865 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(171,a,6099,a,b,6862,a(flip)),flip(a)]. 6866 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(54(a,1),6865(a,1,2,2))]. 6867 K(L(x,y,z) \ u,(L(x,y,z) \ u) \ (w * (L(x,y,z) \ (x * u)))) = K(L(x,y,z) \ u,w * x). [para(1488(a,2),6865(a,1,2,2,2))]. 6868 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(6865(a,1),3176(a,1,2)),flip(a)]. 6869 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(718(a,2),6866(a,1,2,1))]. 6870 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(6182(a,1),6868(a,1,2)),flip(a)]. 6871 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(3331,a,6869,a)]. 6872 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6871(a,1),2635(a,1,2)),flip(a)]. 6873 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(3773,a,6863,a),flip(a)]. 6874 K(x * (y \ 1),y) = K(y \ x,y). [para(12(a,1),6873(a,1,1,2)),flip(a)]. 6875 K(x \ (y * (x * z)),x) = K(y * z,x). [para(13(a,1),6873(a,2,1,2))]. 6876 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(14(a,1),6873(a,1,1,2)),flip(a)]. 6877 K(x \ (y * (L(x,z,u) \ (w * x))),x) = K(y * (L(x,z,u) \ T(w,x)),x). [para(1493(a,1),6873(a,2,1,2))]. 6878 x * K(x * (y \ 1),y) = (y \ x) * y. [para(6874(a,2),188(a,1,2))]. 6879 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(723(a,1),6874(a,1,1,2)),flip(a)]. 6880 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(63(a,1),6878(a,1,2,1,2)),flip(a)]. 6881 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(171,a,3922,a(flip),b,6879,a)]. 6882 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(171,a,2257,a(flip),b,6872,a(flip))]. 6883 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(3835(a,1),6872(a,2,2))]. 6884 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(3919(a,1),6880(a,2,2))]. 6885 x * K(y,x * (1 / y)) = y * (x / y). [para(63(a,1),6882(a,1,2,1))]. 6886 T(x,y * (1 / x)) = T(x,y / x). [hyper(138,a,6885,a(flip),b,3747,a),flip(a)]. 6889 T(x,(y / (1 / x)) / x) = T(x,y). [para(16(a,1),6886(a,1,2)),flip(a)]. 6890 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(4147(a,2),6883(a,2,2))]. 6891 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(4148(a,2),6884(a,2,2))]. 6892 K(x \ (y * (L(x,z,u) \ (w * x))),x) = K(y * (L(x,z,u) \ w),x). [hyper(171,a,3575,a(flip),b,6877,a)]. 6893 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(4111,a,6881,a)]. 6895 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(171,a,5832,a(flip),b,6893,a(flip))]. 6897 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(171,a,6631,a(flip),b,6895,a(flip)),flip(a)]. 6898 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),6895(a,1,1,2,1)),flip(a)]. 6899 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(171,a,4148,a,b,6898,a)]. 6900 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(6899(a,1),188(a,1,2))]. 6901 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(171,a,6891,a,b,6900,a(flip)),flip(a)]. 6902 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6694(a,1),6299(a,2,2))]. 6903 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(4099(a,1),6902(a,1,1))]. 6904 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(5392(a,1),6903(a,1,2))]. 6905 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(5143(a,1),6410(a,1,1))]. 6906 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(6192,a,6905,a),flip(a)]. 6907 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(1983(a,1),6906(a,1,2,1,2))]. 6908 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(171,a,6813,a(flip),b,6907,a(flip)),flip(a)]. 6909 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(171,a,5583,a(flip),b,6908,a(flip))]. 6910 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(3231(a,1),6909(a,1,2,1)),flip(a)]. 6911 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(6020(a,1),6473(a,1,2))]. 6912 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(3497(a,1),6911(a,2,3))]. 6913 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(171,a,1411,a(flip),b,6726,a)]. 6914 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(42(a,2),6913(a,2,3))]. 6915 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(171,a,6866,a(flip),b,6823,a(flip))]. 6916 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(171,a,3261,a(flip),b,6915,a(flip))]. 6918 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(171,a,4505,a(flip),b,6916,a(flip)),flip(a)]. 6919 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(171,a,3261,a(flip),b,6916,a(flip))]. 6921 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(6191(a,1),6918(a,1,1))]. 6922 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(4588,a,6921,a)]. 6923 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(4755,a,6922,a),flip(a)]. 6925 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(4274(a,1),6838(a,2,2))]. 6926 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(3028(a,1),6925(a,2,2,2))]. 6927 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(4316(a,1),6926(a,1,1)),flip(a)]. 6928 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [hyper(171,a,6853,a(flip),b,6927,a)]. 6929 K(x \ (y * (x * z)),y) = K(z * y,y). [hyper(18,a,4924,a(flip),b,6928,a)]. 6930 L(K(x * y,y),x,z) = K(x * y,y). [hyper(171,a,6837,a,b,6929,a(flip)),flip(a)]. 6933 L(K(x * y,y),x,z) = K(y * x,y). [hyper(171,a,2619,a(flip),b,6930,a)]. 6934 L(K(x * y,x),y,z) = K(x * y,x). [para(2619(a,1),6933(a,1,1))]. 6935 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(171,a,6831,a(flip),b,6934,a(flip)),flip(a)]. 6936 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(5330,a,6935,a)]. 6937 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(4710,a,6935,a)]. 6939 K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. [para(6935(a,1),3580(a,1))]. 6940 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(6935(a,1),5328(a,1))]. 6941 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(794(a,2),6936(a,2,1,2))]. 6942 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(171,a,6798,a,b,6937,a(flip)),flip(a)]. 6943 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(171,a,6936,a(flip),b,6941,a(flip)),flip(a)]. 6944 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(6943(a,1),6407(a,1,1,2,2))]. 6945 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(6939,a,5634,a)]. 6946 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(4547,a,6945,a)]. 6947 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(89(a,1),6942(a,1,1,2))]. 6948 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(5331,a,6947,a)]. 6949 K(x \ (y \ (z * (u * y))),y) != w | K(x \ (z * u),y) = w. [para(6948(a,2),6940(a,1))]. 6950 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(6949,a,6517,a),flip(a)]. 6951 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),6950(a,2,1))]. 6952 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(6785,a,6951,a),flip(a)]. 6953 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(6261,a,6952,a)]. 6954 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(6952(a,1),6261(a,1))]. 6955 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(4705,a,6953,a),flip(a)]. 6956 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(171,a,2978,a,b,6953,a),flip(a)]. 6957 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(171,a,5861,a(flip),b,6953,a(flip))]. 6958 L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). [para(40(a,1),6953(a,2,2))]. 6959 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(6953(a,1),89(a,1,2))]. 6960 L(K(x,y \ z),y,u) = K(x,(u * y) \ (u * z)). [para(91(a,1),6953(a,2,2))]. 6961 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(169(a,1),6953(a,2,2))]. 6962 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(311(a,1),6953(a,2,2))]. 6963 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(6953(a,1),297(a,1,2,2))]. 6964 L(K(x,T((y \ z) \ u,w)),y \ z,y) = K(x,T(z \ (y * u),w)). [para(472(a,1),6953(a,2,2))]. 6965 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(6953(a,1),1493(a,1,2,1))]. 6966 L(K(x,y),K(y,z),u) = K(x,y). [para(3696(a,1),6953(a,2,2))]. 6967 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(3698(a,1),6953(a,2,2))]. 6968 K(x,L(y,x,z)) != u | K(x,y) = u. [para(6953(a,1),3745(a,1))]. 6969 K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)). [para(6953(a,2),4266(a,2,2))]. 6970 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(6953(a,1),4662(a,1,2))]. 6971 (1 / x) \ (L(x,y,z) \ (L(K(1 / x,x),y,z) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(6953(a,2),3284(a,1,2,2,1))]. 6972 K(x,L(y,y * z,u)) != w | K(x,L(y,z,u)) = w. [para(6953(a,1),6201(a,1))]. 6973 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(6953(a,1),6442(a,1,2))]. 6974 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(6953(a,1),6458(a,1,2))]. 6975 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(6953(a,1),6953(a,2,2))]. 6977 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(6966(a,1),89(a,1,2))]. 6978 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(6966(a,1),304(a,1,2,1))]. 6980 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(5781(a,1),6968(a,1))]. 6981 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(6037(a,1),6968(a,1))]. 6982 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(6956(a,1),2983(a,1))]. 6983 K(x,R(y,x,z)) != u | K(x,y) = u. [para(6574(a,1),6980(a,1))]. 6985 K(R(x,y,z),y) != u | K(x,y) = u. [para(5190(a,2),6983(a,1))]. 6986 K(x / (y * z),z) != u | K(z \ (x / y),z) = u. [para(5672(a,1),6985(a,1))]. 6988 (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. [para(6967(a,1),185(a,1,2))]. 6990 L(K(x,T(y \ z,u * y)),y,u) = K(x,(u * z) / (u * y)). [hyper(171,a,4963,a(flip),b,6958,a)]. 6991 L(K(x,T(y,z)),u,w) \ z = z * K(L(y,u,w),x). [para(6958(a,2),4433(a,1,1))]. 6992 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(171,a,6449,a(flip),b,6973,a(flip)),flip(a)]. 6994 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(6973(a,1),3820(a,2,2))]. 6995 a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). [para(6973(a,1),3859(a,1,1))]. 6996 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(6973(a,1),4056(a,1,2)),flip(a)]. 6997 a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. [para(6973(a,1),3855(a,1))]. 6998 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [hyper(171,a,6477,a(flip),b,6992,a(flip)),flip(a)]. 6999 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(4262(a,2),6992(a,1,3))]. 7000 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [para(14(a,1),6998(a,1,2)),flip(a)]. 7001 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(4262(a,2),6998(a,1,3))]. 7002 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(3772,a,6974,a)]. 7003 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(6974(a,1),3763(a,1,1)),flip(b)]. 7004 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(6982,a,6975,a)]. 7005 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(6975(a,1),89(a,1,2))]. 7007 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(4262(a,1),6975(a,1,1))]. 7008 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(6995(a,1),3763(a,1,1)),flip(b)]. 7009 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(17,a,6973,a,b,7002,a)]. 7010 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(17,a,6442,a,b,7002,a),flip(a)]. 7011 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(171,a,6647,a,b,7002,a(flip)),flip(a)]. 7012 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(310(a,1),7009(a,1,1)),flip(a)]. 7013 K(L(x,y,K(z,u)),u) = K(x,u). [para(3609(a,1),7009(a,2,2))]. 7014 (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. [para(7009(a,1),3808(a,1,2))]. 7015 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [para(7009(a,1),4262(a,1,2))]. 7016 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [para(7009(a,1),4274(a,1,2))]. 7017 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [para(7009(a,1),4351(a,2,2))]. 7018 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(7009(a,1),4305(a,1,2))]. 7019 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(7009(a,2),6954(a,1))]. 7020 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7013(a,1),2872(a,2,1,1))]. 7021 L(K(x,x * y),y,z) = K(x,x * y). [hyper(171,a,6266,a(flip),b,7010,a)]. 7022 L(K(x \ (y \ z),u),x,y) = K((y * x) \ z,u). [para(169(a,1),7010(a,2,1))]. 7023 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(310(a,1),7010(a,2,1))]. 7024 L(K(x,y),z,u) \ y = T(y,L(x,z,u)). [para(7010(a,2),2762(a,2,1)),flip(a)]. 7025 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [para(7010(a,2),2988(a,1,1))]. 7026 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [para(7010(a,2),4260(a,1,1))]. 7027 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [para(7010(a,2),4274(a,1,2))]. 7028 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(7010(a,2),4297(a,1))]. 7029 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(7010(a,2),4305(a,1,2))]. 7030 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(7010(a,2),4357(a,1,1))]. 7031 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(171,a,6849,a(flip),b,7021,a(flip))]. 7032 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(171,a,6842,a(flip),b,7021,a(flip)),flip(a)]. 7035 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1488(a,1),7032(a,1,2))]. 7036 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [para(7032(a,2),3177(a,1,2))]. 7037 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(4262(a,2),7019(a,1))]. 7038 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(171,a,2872,a,b,7020,a)]. 7039 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(91(a,1),7038(a,1,2))]. 7040 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6023(a,1),7004(a,1,2)),flip(a)]. 7041 K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,z,u))). [para(7010(a,1),7004(a,1,2))]. 7042 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),7011(a,1,1))]. 7043 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(169(a,1),7015(a,2,2,2))]. 7044 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(7015(a,1),4272(a,1))]. 7045 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(6234(a,1),7016(a,1,2)),flip(a)]. 7046 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(7025(a,1),7002(a,1,2))]. 7047 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(6198(a,1),7027(a,1,2)),flip(a)]. 7048 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(171,a,4258,a,b,7036,a)]. 7049 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1101(a,1),7036(a,1,2,2))]. 7050 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(4272,a,7048,a)]. 7051 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(7050(a,1),4372(a,1,2)),flip(a)]. 7052 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(6959(a,1),2796(a,1))]. 7053 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). [para(7027(a,1),6959(a,1,2))]. 7054 K(x / y,(z * (x / y)) \ (z * u)) = K((y / x) \ 1,(x / y) \ u). [hyper(3744,a,6960,a),flip(a)]. 7055 L(K(x / y,(y \ x) \ z),x / y,u) = K(x / y,(u * (x / y)) \ (u * z)). [para(3997(a,1),6960(a,1,1))]. 7057 K(x / (L(y,z,u) * w),y) != v5 | K(y \ (x / w),y) = v5. [para(6796(a,2),6986(a,1))]. 7058 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(310(a,1),7012(a,1,2))]. 7059 K((x * y) \ z,(x \ u) \ y) = K(y \ (x \ z),u \ (x * y)). [hyper(171,a,6056,a(flip),b,7022,a(flip))]. 7060 L(K((x \ 1) \ (y \ z),y),x \ 1,x) = K(y \ (x * z),y). [hyper(171,a,6873,a,b,7023,a)]. 7061 T(x,L(K(y,z),u,w)) != v5 | T(x,K(y,L(z,u,w))) = v5. [para(6969(a,1),4268(a,1))]. 7062 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(171,a,6288,a,b,6977,a)]. 7063 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z,K(x,y)) * K(u,y). [para(4324(a,1),6977(a,1,1)),flip(a)]. 7064 L(K(x,y),z,u) \ y = y * K(L(y,z,u),x). [para(99(a,1),6991(a,1,1,1,2))]. 7065 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(5970,a,6996,a)]. 7066 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(4262(a,2),7001(a,2,3))]. 7067 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(169(a,1),7017(a,1,2,2)),flip(a)]. 7068 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(171,a,4832,a(flip),b,7039,a(flip)),flip(a)]. 7070 T(x,y \ K(x,z)) = T(x,y \ 1). [para(2980(a,1),7068(a,1,2,2)),flip(a)]. 7071 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(7070(a,1),4135(a,1,2,1))]. 7072 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(14(a,1),7058(a,1,2)),flip(a)]. 7073 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(7062(a,2),3757(a,1,1))]. 7074 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(3935(a,1),7062(a,1,2)),flip(a)]. 7075 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(7065(a,1),2829(a,1,1))]. 7076 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),w,x). [para(7065(a,1),2745(a,1,1))]. 7077 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(14(a,1),7072(a,1,1)),flip(a)]. 7078 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(171,a,6957,a(flip),b,7077,a(flip))]. 7079 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1705(a,2),7078(a,1,2))]. 7080 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [hyper(171,a,6046,a(flip),b,7079,a(flip)),flip(a)]. 7081 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(171,a,7077,a(flip),b,6955,a(flip)),flip(a)]. 7082 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(6447(a,1),7003(a,1))]. 7083 L(K(x,y),z,u) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(6953(a,2),7008(a,1,1))]. 7084 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(4274(a,1),7018(a,1))]. 7085 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(6975(a,2),7018(a,1))]. 7086 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(7027(a,2),7018(a,1))]. 7088 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(7044,a,7040,a)]. 7089 a(x,y * K(z,u),K(u,w)) != v5 | a(x,y,K(u,w)) = v5. [para(6474(a,2),7083(a,1))]. 7092 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(316(a,1),7047(a,1,2,2)),flip(a)]. 7093 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(3691,a,7073,a)]. 7094 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(171,a,3693,a(flip),b,7093,a)]. 7095 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(1594(a,2),7094(a,2,2))]. 7096 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(171,a,6904,a(flip),b,7095,a(flip))]. 7097 K((x \ y) \ 1,T((y \ x) \ z,u * (y \ x))) = K(y \ x,(u * z) / (u * (y \ x))). [hyper(4109,a,6990,a)]. 7098 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(7014,a,6994,a)]. 7099 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(1076(a,1),7098(a,1,1))]. 7100 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(171,a,6204,a(flip),b,7042,a(flip)),flip(a)]. 7101 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(171,a,7088,a(flip),b,7043,a(flip)),flip(a)]. 7102 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. [para(7053(a,1),4267(a,1))]. 7103 L(K((x \ y) \ z,y),x \ 1,x) = K(y \ (x * z),y). [para(5136(a,1),7060(a,1,1))]. 7104 L(K(x \ ((y \ x) \ z),x),y \ 1,y) = K(x \ (y * (x \ z)),x). [para(6255(a,1),7103(a,1,1))]. 7105 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(6946(a,1),7100(a,2,3))]. 7106 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(171,a,6482,a(flip),b,7105,a)]. 7108 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(171,a,7035,a(flip),b,7106,a(flip)),flip(a)]. 7109 a(x,y,a(z,u,K(y,w))) = 1. [para(7106(a,1),3737(a,1,3))]. 7110 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(4388(a,1),7109(a,1,3,3))]. 7111 (x * K(L(y,z,u) \ y,x)) \ L(x,w,x) = a(u,z,K(x,y)). [hyper(171,a,3315,a,b,7108,a(flip)),flip(a)]. 7112 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),7108(a,1,2))]. 7113 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(7108(a,1),3047(a,1,2,1)),flip(a)]. 7114 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(171,a,6466,a(flip),b,7113,a)]. 7115 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(7114(a,1),6483(a,1,3)),flip(a)]. 7116 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(3869(a,1),7115(a,1,3))]. 7117 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(7115(a,1),6457(a,1,2))]. 7118 K(x,L(y,z,u) \ y) * (x \ L(x,w,x)) = a(u,z,K(x,y)). [hyper(3379,a,7111,a)]. 7119 x \ L(T(x,L(y,z,u) \ y),w,x) = a(u,z,K(x,y)). [hyper(171,a,3301,a(flip),b,7118,a(flip)),flip(a)]. 7120 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(7046(a,1),3860(a,1))]. 7121 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(7049(a,2),4366(a,1))]. 7122 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(171,a,4236,a(flip),b,7051,a)]. 7123 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(4605,a,7122,a)]. 7124 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),7123(a,1,2,2)),flip(a)]. 7125 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(7124(a,1),2794(a,1,2,1))]. 7126 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(7071(a,1),4143(a,1,2,1))]. 7127 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(3935(a,1),7074(a,1,1,2))]. 7128 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6171(a,1),6970(a,1,1))]. 7129 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(3557,a,7112,a)]. 7130 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(171,a,6168,a(flip),b,7128,a)]. 7131 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(171,a,6937,a(flip),b,7129,a(flip)),flip(a)]. 7132 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(7130(a,1),4323(a,1,1))]. 7133 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(6794(a,1),7131(a,2,3))]. 7134 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(63(a,1),7133(a,2,3,1))]. 7137 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(7134(a,1),3047(a,1,2,1)),flip(a)]. 7138 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(171,a,6466,a(flip),b,7137,a)]. 7139 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(7138(a,1),2793(a,2,2))]. 7140 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(3761(a,1),6978(a,1,1)),flip(a)]. 7141 (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). [hyper(171,a,2485,a(flip),b,7140,a)]. 7142 (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. [para(7127(a,2),6988(a,1))]. 7143 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(5396(a,1),7096(a,1,2))]. 7144 (x / y) * R(y,z,y) = x * a(y,u,L(y,w,v5)). [para(1666(a,1),7143(a,1,2))]. 7145 a(x,y,L(x,z,u)) = a(w,v5,w). [hyper(1161,a,7144,a),flip(a)]. 7148 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(5591(a,1),7101(a,1,2))]. 7149 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(7142,a,5515,a)]. 7150 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(5514(a,1),7149(a,1,2)),flip(a)]. 7151 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(5179(a,1),7150(a,2,2))]. 7152 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(7109(a,1),7117(a,1,2)),flip(a)]. 7153 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(171,a,12,a(flip),b,7152,a)]. 7154 K(L(x,y,z) \ x,u) != w | K(a(z,y,x),u) = w. [para(7152(a,2),76(a,1)),flip(b)]. 7156 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(7153(a,1),3047(a,1,2,1)),flip(a)]. 7157 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(171,a,3047,a(flip),b,7156,a)]. 7159 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(7157(a,1),2793(a,2,2))]. 7160 K(x,K(y,z \ L(z,u,w))) = K(x,K(y,a(w,u,z))). [para(7157(a,1),4308(a,1,2)),flip(a)]. 7161 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(171,a,2793,a,b,7159,a)]. 7162 x \ L(T(x,a(y,z,u)),w,x) = a(y,z,K(x,u)). [para(7161(a,1),7119(a,1,2,1))]. 7163 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(2926,a,7162,a)]. 7164 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(3273,a,7163,a),flip(a)]. 7166 K(x / y,(z * (x / y)) \ (z * u)) != w | K((y / x) \ 1,(y \ x) \ u) = w. [para(7055(a,1),3744(a,1))]. 7167 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(3043(a,1),6965(a,1,2))]. 7168 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(7009(a,1),7167(a,1,2,1))]. 7169 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(2808(a,1),7168(a,1,2))]. 7170 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(6996(a,1),7169(a,1,2)),flip(a)]. 7171 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(6484(a,1),7170(a,2,2,2))]. 7172 (1 / x) \ (L(x,y,z) \ (L(K(x \ 1,x),y,z) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(718(a,1),6971(a,1,2,2,1,1,1))]. 7174 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(2925,a,7125,a),flip(a)]. 7175 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(171,a,7026,a(flip),b,7174,a)]. 7176 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(7030,a,7175,a)]. 7177 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(5572(a,1),7176(a,1,2))]. 7178 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(171,a,7148,a(flip),b,7177,a(flip))]. 7179 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(171,a,7043,a(flip),b,7178,a(flip))]. 7180 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(4272,a,7179,a)]. 7181 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(171,a,6488,a(flip),b,7180,a(flip)),flip(a)]. 7182 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(171,a,5124,a(flip),b,7181,a)]. 7184 K(x,K(y,a(z,x,u))) = 1. [para(134(a,1),7182(a,1,2,2,3))]. 7186 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(7184(a,1),4231(a,1,2)),flip(a)]. 7187 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(171,a,12,a(flip),b,7186,a)]. 7188 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(3175,a,7187,a)]. 7189 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(7188(a,1),100(a,1,2)),flip(a)]. 7190 (1 / x) \ (L(x,y,z) \ (L((x \ 1) * x,y,z) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(153(a,1),7172(a,1,2,2,1,1))]. 7193 (1 / x) \ (L(x,y,z) \ (((x \ 1) * x) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(2327(a,1),7190(a,1,2,2,1))]. 7196 K((x \ y) \ 1,T((y \ x) \ z,x)) = K(y \ x,(y * z) / (y * (y \ x))). [para(14(a,1),7097(a,1,2,2))]. 7197 K(x \ y,(x * z) / (x * (x \ y))) = K((x / y) \ 1,(x \ y) \ z). [hyper(171,a,4491,a(flip),b,7196,a(flip))]. 7198 K((x / y) \ 1,(x \ y) \ z) = K(x \ y,(x * z) / y). [para(14(a,1),7197(a,1,2,2)),flip(a)]. 7199 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(171,a,2958,a(flip),b,7171,a)]. 7200 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1705(a,2),7081(a,1,2))]. 7201 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(6302(a,1),6314(a,2,2,1,1))]. 7202 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(2978(a,1),7201(a,2,2,1))]. 7204 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(2978(a,1),7202(a,1,1,2,1))]. 7205 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(171,a,3065,a(flip),b,7204,a(flip)),flip(a)]. 7206 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(7204(a,1),323(a,1,1,1)),flip(a)]. 7207 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(7204(a,2),5612(a,1,1))]. 7209 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(4228(a,1),7207(a,1,1,1,2,1))]. 7210 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). [hyper(171,a,4478,a(flip),b,6328,a)]. 7211 K(L(x,y,z) \ x,(L(x,y,z) \ x) \ (u * (L(x,y,z) \ (x * x)))) = K(a(z,y,x),u * x). [hyper(171,a,7153,a(flip),b,6867,a)]. 7212 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(727(a,1),6910(a,2,2,1,2))]. 7213 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(3879(a,1),7212(a,1,2,1,1,2,1))]. 7214 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(171,a,6843,a(flip),b,7213,a(flip))]. 7215 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(171,a,5939,a(flip),b,7214,a(flip))]. 7216 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(171,a,6384,a(flip),b,7215,a(flip))]. 7217 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(171,a,6166,a(flip),b,7216,a(flip))]. 7218 L(K(x,y),z,z \ 1) != u | L(K(x,y),z,z \ x) = u. [para(7217(a,1),6203(a,1))]. 7219 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(7218,a,6953,a)]. 7220 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(6982,a,7219,a),flip(a)]. 7221 K(x,L(y,z,z \ 1)) != u | K(x,L(y,z,z \ x)) = u. [para(7219(a,1),6982(a,1))]. 7222 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(5701(a,1),7220(a,2,2))]. 7223 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(171,a,7200,a(flip),b,7222,a(flip))]. 7224 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(171,a,7080,a(flip),b,7223,a(flip))]. 7226 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(171,a,4795,a(flip),b,7224,a(flip)),flip(a)]. 7227 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(7224(a,1),5655(a,1,1))]. 7228 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(7227(a,1),63(a,1,1))]. 7230 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(63(a,1),7228(a,1,1,2))]. 7231 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(7226(a,1),5552(a,2,1))]. 7232 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(171,a,2753,a(flip),b,7231,a)]. 7234 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(5431(a,1),7232(a,2,2))]. 7235 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(4806(a,1),7234(a,1,1))]. 7236 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(3809,a,6106,a),flip(a)]. 7237 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(2882(a,1),7236(a,1,2)),flip(a)]. 7238 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(6323(a,1),6324(a,1,1))]. 7239 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(6308(a,1),7238(a,1,2))]. 7240 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),6339(a,1,1,1)),flip(a)]. 7242 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(6313(a,1),7240(a,1,2,1)),flip(a)]. 7243 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(171,a,7239,a(flip),b,7242,a(flip))]. 7244 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(7242(a,1),4199(a,1,2,2))]. 7246 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(3048(a,1),7243(a,1,2)),flip(a)]. 7247 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(171,a,3048,a(flip),b,7246,a)]. 7250 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(3045(a,1),7244(a,1,2)),flip(a)]. 7251 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(171,a,3382,a(flip),b,7250,a)]. 7253 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(171,a,3048,a(flip),b,7251,a)]. 7255 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(4197(a,1),7253(a,1,2))]. 7256 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(z,x) * (K(x,y) * u)) * (K(x,z) * K(y,x))). [para(6332(a,1),6320(a,2,2))]. 7257 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(794(a,2),6944(a,1,2,1,1,2,2))]. 7258 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(171,a,6407,a(flip),b,7257,a(flip))]. 7259 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (T(K(x,y) * u,K(z,x)) * K(y,x)). [para(7063(a,1),7256(a,2,2))]. 7260 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (T(K(x,y) * u,K(x,z)) * K(y,x)). [para(4321(a,1),7259(a,2,2,1))]. 7261 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * T(u,K(x,z))) * K(y,x)). [para(5090(a,1),7260(a,2,2,1))]. 7262 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * T(T(u,K(x,z)),K(x,y)). [para(4324(a,1),7261(a,2,2))]. 7263 T(K(x,y) * K(z,x),u) * u = K(z,x) * (K(x,y) * T(T(u,K(x,z)),K(x,y))). [hyper(171,a,6304,a(flip),b,7262,a)]. 7264 T(K(x,y) * K(z,x),u) * u = K(z,x) * (T(u,K(x,z)) * K(x,y)). [para(100(a,1),7263(a,2,2))]. 7265 K(x,y) * (T(z,K(y,x)) * K(y,u)) = z * (K(y,u) * K(x,y)). [hyper(171,a,6521,a(flip),b,7264,a(flip))]. 7266 K(x,y) * (T(z,K(y,x)) * K(y,u)) = (z * K(y,u)) * K(x,y). [hyper(171,a,6977,a,b,7265,a)]. 7267 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(4482,a,7266,a)]. 7268 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(171,a,4382,a(flip),b,7267,a)]. 7269 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(7268(a,2),19(a,1))]. 7270 (x \ y) * K(x,T(x \ y,z)) = T(y / x,K(x,z)). [para(2806(a,1),7268(a,1,1)),flip(a)]. 7271 K(x \ y,T(x,z)) \ (x \ y) = T(y / x,K(x,z)). [hyper(171,a,3967,a,b,7270,a(flip)),flip(a)]. 7272 K(x \ y,T(x,z)) \ (x \ y) = T(y,K(x,z)) / x. [hyper(171,a,4127,a,b,7271,a)]. 7273 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(6395(a,2),6396(a,1,1,2))]. 7274 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(4925(a,1),7273(a,1,1))]. 7275 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(42(a,2),7274(a,1,2))]. 7276 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(164(a,1),7275(a,1,2,1))]. 7277 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(171,a,5064,a(flip),b,7276,a(flip)),flip(a)]. 7278 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [hyper(171,a,6316,a(flip),b,7277,a(flip)),flip(a)]. 7280 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,w,y)) * y). [hyper(171,a,6421,a(flip),b,7278,a(flip))]. 7281 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,w,y) \ u)). [para(989(a,1),7280(a,2,2))]. 7282 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,w,y) \ u)). [hyper(171,a,3383,a(flip),b,7281,a)]. 7283 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,w,x) \ u)). [para(6394(a,1),7282(a,1,1,1))]. 7284 R(x * K(y,x),z,x) \ u = T(x,y) * (x \ (R(x,w,x) \ u)). [para(6395(a,2),7283(a,1,1))]. 7285 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,v5,x) \ u) = w. [para(7284(a,2),2972(a,1))]. 7287 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(5369(a,1),7099(a,1,2))]. 7289 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(943(a,1),7287(a,1,2)),flip(a)]. 7290 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(38(a,1),7289(a,2,2))]. 7292 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(171,a,4800,a(flip),b,7290,a)]. 7295 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(7009(a,1),7292(a,2,1))]. 7296 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(171,a,3297,a(flip),b,7295,a)]. 7299 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(1443(a,1),7296(a,1,2,3))]. 7301 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(2527(a,1),7299(a,1,2,3))]. 7303 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(171,a,7199,a,b,7301,a(flip)),flip(a)]. 7305 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(6953(a,1),7303(a,1,1))]. 7307 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(1590(a,1),7305(a,1,2)),flip(a)]. 7309 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(171,a,3043,a(flip),b,7307,a)]. 7311 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(7009(a,1),7309(a,2,1))]. 7313 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(171,a,2800,a,b,7311,a)]. 7315 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(171,a,7076,a,b,7313,a(flip)),flip(a)]. 7316 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(13(a,1),7237(a,2,1,1))]. 7317 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(171,a,5113,a(flip),b,7316,a)]. 7319 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(13(a,1),7317(a,1,1,1))]. 7320 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),7319(a,1,2,2))]. 7321 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(3497(a,1),7320(a,1,2,1,3))]. 7322 (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(3043(a,1),6545(a,1,1,2))]. 7323 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(6811(a,1),6830(a,1,2,1,1))]. 7324 ((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(4813(a,1),7322(a,1,1))]. 7325 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(171,a,6407,a(flip),b,7323,a(flip))]. 7326 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(6217,a,7325,a),flip(a)]. 7327 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(4751,a,7326,a)]. 7328 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(6120,a,7327,a),flip(a)]. 7329 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(7328(a,1),5496(a,1,1))]. 7330 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(171,a,6085,a(flip),b,7329,a(flip)),flip(a)]. 7331 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(6606,a,7330,a),flip(a)]. 7332 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(171,a,5571,a(flip),b,7331,a(flip))]. 7333 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),7332(a,1,2,1)),flip(a)]. 7334 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(340(a,1),7333(a,2,2,1))]. 7335 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(2624(a,1),7333(a,1,1)),flip(a)]. 7336 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(3154(a,1),7333(a,1,1)),flip(a)]. 7337 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(4836(a,1),7333(a,1,1))]. 7338 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(171,a,5276,a(flip),b,7336,a)]. 7339 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [para(718(a,2),7336(a,1,2,1,1))]. 7340 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(7338(a,1),2793(a,2,2))]. 7341 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(171,a,2793,a,b,7340,a)]. 7342 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(171,a,2260,a(flip),b,7341,a(flip)),flip(a)]. 7343 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),7342(a,1,2,1,2))]. 7344 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(171,a,6113,a,b,7343,a(flip)),flip(a)]. 7345 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(171,a,2793,a(flip),b,7344,a),flip(a)]. 7346 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,2793,a(flip),b,7345,a),flip(a)]. 7347 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(6120,a,7346,a)]. 7348 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(810(a,1),7347(a,2,2,2))]. 7349 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(7347(a,1),5186(a,1,1))]. 7350 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(6124,a,7348,a)]. 7351 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(171,a,5186,a(flip),b,7349,a(flip))]. 7352 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(7335(a,1),7337(a,1,1)),flip(a)]. 7353 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1101(a,1),7350(a,1,2,1))]. 7354 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(513(a,1),7353(a,1,2,2))]. 7355 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(4995,a,7354,a)]. 7356 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(718(a,1),7334(a,1,1,2,1,1))]. 7357 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(7338(a,1),7356(a,1,1))]. 7358 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(171,a,7347,a(flip),b,7357,a)]. 7360 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),7358(a,2,2,2))]. 7361 (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(3043(a,1),6361(a,1,1,2,2))]. 7362 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(4933(a,1),7209(a,1,1,1,2))]. 7363 (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(2951(a,1),7361(a,1,1,2))]. 7364 (x * (K(y,z) * u)) * K(z,L(y,K(y,z) * (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(3043(a,1),7363(a,1,2,2,2))]. 7365 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(6764(a,1),7364(a,1,2))]. 7366 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(6199(a,1),7365(a,1,2))]. 7368 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(3043(a,1),7366(a,2,2,1,1))]. 7369 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(4324(a,1),7368(a,2,2,1))]. 7370 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(4125(a,2),7369(a,2,2))]. 7371 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),7370(a,2,2,1))]. 7372 ((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(7371(a,1),3648(a,1,1,2))]. 7373 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(6731(a,1),7362(a,1,1,1))]. 7374 (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(827(a,1),6825(a,1,1))]. 7376 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(171,a,3601,a(flip),b,7374,a)]. 7378 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(7376(a,1),14(a,1,2))]. 7379 (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(7378(a,1),7324(a,1,1))]. 7380 (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(6544(a,1),7379(a,1,2))]. 7381 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(684,a,7380,a)]. 7382 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(171,a,3043,a(flip),b,7381,a)]. 7383 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(171,a,5200,a,b,7382,a(flip)),flip(a)]. 7384 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(1612,a,7383,a),flip(a)]. 7385 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(4762,a,7384,a),flip(a)]. 7387 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(4755,a,7385,a),flip(a)]. 7389 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(7387(a,1),5997(a,1,1))]. 7390 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(3122,a,7389,a)]. 7391 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(5692(a,1),7389(a,1,2,2))]. 7392 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(171,a,5775,a(flip),b,7390,a(flip)),flip(a)]. 7393 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(7390(a,1),6700(a,1))]. 7395 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(171,a,6411,a(flip),b,7392,a(flip))]. 7396 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(6702(a,1),7391(a,1,2))]. 7397 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(3057,a,7396,a),flip(a)]. 7398 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(7393,a,7397,a)]. 7400 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(171,a,7395,a(flip),b,7397,a(flip)),flip(a)]. 7402 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(7400(a,1),721(a,1,1))]. 7403 (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(28(a,2),1736(a,2,2,1,1))]. 7404 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(596(a,1),7403(a,1,2))]. 7405 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(537(a,1),7404(a,1,2,2))]. 7406 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(308,a,7405,a),flip(a)]. 7408 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(171,a,5980,a,b,7406,a(flip)),flip(a)]. 7409 L(x,y,z) * L(L(x,y,z) \ 1,u,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(757(a,1),7406(a,2,1,2))]. 7410 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(1694(a,1),7406(a,1,2))]. 7411 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(5117(a,1),7406(a,1,1))]. 7412 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(1491(a,1),7409(a,1,2))]. 7414 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(60(a,1),7412(a,2,1,2,2))]. 7415 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(728(a,2),7414(a,2,1))]. 7416 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(171,a,1189,a(flip),b,7415,a)]. 7420 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(12(a,1),7410(a,1,2,2)),flip(a)]. 7421 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(3307(a,1),7420(a,1,1)),flip(a)]. 7422 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(171,a,6010,a(flip),b,7421,a)]. 7424 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,728,a(flip),b,7422,a)]. 7425 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(171,a,5483,a,b,7424,a(flip)),flip(a)]. 7426 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(7425(a,1),60(a,1,2)),flip(a)]. 7427 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(7426(a,1),150(a,1,1))]. 7428 ((1 / L(x,y,z)) \ 1) \ (L(1 / (1 / x),y,z) \ (((1 / L(x,y,z)) \ 1) * u)) = (1 / (1 / L(x,y,z))) \ u. [para(7426(a,2),685(a,1,2,1))]. 7429 L(1 / (1 / x),y,z) \ (((1 / L(x,y,z)) \ 1) * u) = ((1 / L(x,y,z)) * (1 / (1 / L(x,y,z)))) \ u. [para(7426(a,2),6646(a,1,1))]. 7430 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(63(a,1),7427(a,2,1))]. 7431 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(7430(a,1),38(a,1,1)),flip(a)]. 7432 ((1 / L(x,y,z)) * (1 / (1 / L(x,y,z)))) \ u = L(1 / (1 / x),y,z) \ (L(x,y,z) * u). [para(63(a,1),7429(a,1,2,1)),flip(a)]. 7434 L(1 / (1 / x),y,z) \ (L(x,y,z) * u) = ((w \ 1) * w) \ u. [para(1143(a,2),7432(a,1,1)),flip(a)]. 7436 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(5117(a,1),7411(a,1,2,1,1)),flip(a)]. 7437 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(171,a,7406,a(flip),b,7436,a)]. 7439 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(662(a,1),7437(a,2,1))]. 7440 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(662(a,1),7439(a,1,1))]. 7441 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(7440(a,1),6974(a,1,2,2))]. 7442 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(7116(a,1),7441(a,1,1))]. 7443 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(7110(a,1),7442(a,1,1))]. 7444 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(70,a,7443,a)]. 7446 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(171,a,4947,a(flip),b,7444,a(flip)),flip(a)]. 7448 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(7446(a,1),2793(a,2,2)),flip(a)]. 7450 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(2796,a,7448,a),flip(a)]. 7451 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(7450(a,2),453(a,1,1))]. 7453 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(171,a,7139,a(flip),b,7451,a)]. 7455 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(171,a,6399,a(flip),b,7453,a(flip)),flip(a)]. 7456 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(7455(a,2),7075(a,1,1))]. 7457 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(7455(a,2),7315(a,1,1))]. 7458 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(287,a,7456,a)]. 7459 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(2246(a,1),7458(a,1,1))]. 7460 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(287,a,7457,a)]. 7461 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(718(a,1),7459(a,1,2,1,3,2,2))]. 7462 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(171,a,7458,a(flip),b,7461,a(flip))]. 7463 L(x,y,z) \ (L(1 / (1 / x),y,z) \ (((1 / L(x,y,z)) \ 1) * u)) = (1 / (1 / L(x,y,z))) \ u. [para(63(a,1),7428(a,1,1))]. 7464 L(x,y,z) \ (L(1 / (1 / x),y,z) \ (L(x,y,z) * u)) = (1 / (1 / L(x,y,z))) \ u. [para(63(a,1),7463(a,1,2,2,1))]. 7467 L(x,y,z) \ (L(1 / (1 / x),y,z) \ (L(x,y,z) * u)) = L(1 / (1 / x),y,z) \ u. [para(7426(a,2),7464(a,2,1))]. 7468 L(x,y,z) \ (((u \ 1) * u) \ w) = L(1 / (1 / x),y,z) \ w. [para(7434(a,1),7467(a,1,2))]. 7469 (1 / x) \ (L(1 / (1 / x),y,z) \ u) = (x \ 1) \ (L(x,y,z) \ u). [para(7468(a,1),7193(a,1,2))]. 7471 T(1 / x,(1 / x) \ 1) \ (L(1 / (1 / x),y,z) \ u) = ((1 / x) * (1 / (1 / x))) \ ((x \ 1) \ (L(x,y,z) \ u)). [para(7469(a,1),1262(a,1,2)),flip(a)]. 7472 T(1 / x,(1 / x) \ 1) \ (L(1 / (1 / x),y,z) \ u) = (1 * K(x \ 1,x)) \ ((x \ 1) \ (L(x,y,z) \ u)). [para(3815(a,1),7471(a,2,1))]. 7473 T(1 / x,(1 / x) \ 1) \ (L(1 / (1 / x),y,z) \ u) = K(x \ 1,x) \ ((x \ 1) \ (L(x,y,z) \ u)). [para(11(a,1),7472(a,2,1))]. 7475 T(1 / x,(1 / x) \ 1) \ (L(1 / (1 / x),y,z) \ u) = T(x \ 1,x) \ (L(x,y,z) \ u). [hyper(171,a,2941,a(flip),b,7473,a)]. 7477 T(x \ 1,x) \ (L(x,y,z) \ u) = (x \ 1) \ (L(1 / (1 / x),y,z) \ u). [para(195(a,1),7475(a,1,1)),flip(a)]. 7478 L(T(x \ 1,x) \ (L(x,y,z) \ u),x \ 1,x) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [para(7477(a,2),311(a,1,1))]. 7479 ((x \ 1) * x) \ (x * (L(x,y,z) \ u)) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [hyper(171,a,5375,a(flip),b,7478,a(flip)),flip(a)]. 7481 ((x \ 1) * x) \ (L(x,y,z) \ (x * u)) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [para(1488(a,2),7479(a,1,2))]. 7482 L(x,y,z) \ (T(x,x \ 1) * u) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [hyper(171,a,3490,a(flip),b,7481,a(flip)),flip(a)]. 7484 L(x,y,z) \ (T(x,x \ 1) * u) = x * (L(1 / (1 / x),y,z) \ u). [hyper(171,a,50,a(flip),b,7482,a)]. 7485 L(x,y,z) \ (((x \ 1) \ 1) * u) = x * (L(1 / (1 / x),y,z) \ u). [para(101(a,1),7484(a,1,2,1))]. 7486 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(30(a,2),1818(a,2,2,1,1))]. 7487 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1746(a,1),7486(a,1,1))]. 7488 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1795(a,1),7487(a,1,1,1))]. 7489 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(333,a,7488,a),flip(a)]. 7490 R(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). [hyper(171,a,2345,a(flip),b,7489,a(flip))]. 7491 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(470(a,1),7489(a,2,1,2))]. 7492 R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(R(T(x,x * y),y,x) \ 1,z,u). [para(926(a,1),7489(a,1,1)),flip(a)]. 7493 R(T(x * L(x \ 1,y,z),u),w,x) = T(x * L(x \ 1,y,z),u). [para(7490(a,1),42(a,2,1))]. 7494 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1105(a,1),7491(a,1,2))]. 7495 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(120(a,1),7494(a,2,1,2))]. 7496 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(728(a,2),7495(a,2,1))]. 7497 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(171,a,1260,a(flip),b,7496,a)]. 7501 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(1308,a,7497,a(flip)),flip(a)]. 7502 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(73,a,7501,a)]. 7503 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(171,a,5993,a(flip),b,7502,a(flip)),flip(a)]. 7504 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(6699(a,1),7503(a,1,1)),flip(a)]. 7505 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(2724(a,1),7504(a,2,1))]. 7506 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(5580(a,1),7505(a,1,1))]. 7507 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(6734(a,1),7506(a,2,1))]. 7508 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(171,a,7504,a(flip),b,7507,a(flip)),flip(a)]. 7509 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(7398(a,1),7508(a,1,1)),flip(a)]. 7510 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(7509(a,1),723(a,1,1))]. 7512 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(1383,a,7510,a),flip(a)]. 7513 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(7510(a,1),729(a,1)),flip(b)]. 7514 (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(171,a,5720,a,b,7512,a),flip(a)]. 7515 R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(T(x,y) \ 1,z,u). [para(926(a,1),7492(a,2,2,1,1))]. 7516 R(T(x * L(x \ 1,y,z),x * u),u,x) = T(x,u) * L(T(x,u) \ 1,y,z). [para(1944(a,1),7515(a,1,1))]. 7517 R(T(x * L(x \ 1,y,z),x * u),u,x) != w | T(x * L(x \ 1,y,z),u) = w. [para(7516(a,2),1947(a,1))]. 7518 T(x * L(x \ 1,y,z),x * u) = T(x * L(x \ 1,y,z),u). [hyper(7517,a,7493,a),flip(a)]. 7519 T((1 / x) * L((1 / x) \ 1,y,z),u) = T((1 / x) * L(x,y,z),(1 / x) * u). [para(63(a,1),7518(a,1,1,2,1)),flip(a)]. 7520 T(x \ L(x,y,z),(1 / x) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [para(1693(a,1),7519(a,2,1)),flip(a)]. 7521 T(x \ L(x,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [hyper(171,a,2150,a(flip),b,7520,a(flip)),flip(a)]. 7522 (x * L(R(T(y,x),z,u),w,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(1069(a,1),7514(a,1,1,2))]. 7523 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),w,x) * y) \ (y * R(T(x,y),z,u)). [para(416(a,1),7522(a,1,1)),flip(a)]. 7524 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),w,x) * y) \ (R(x,z,u) * y). [para(148(a,1),7523(a,2,2))]. 7525 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(171,a,1411,a(flip),b,7524,a)]. 7526 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(42(a,2),7525(a,2,3))]. 7527 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(7513,a,7526,a)]. 7528 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(171,a,7398,a(flip),b,7527,a(flip)),flip(a)]. 7530 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(171,a,6743,a(flip),b,7528,a(flip))]. 7532 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(171,a,6914,a,b,7530,a(flip)),flip(a)]. 7533 a(x,x \ y,R(x,z,u)) = a(w,v5,w). [hyper(5410,a,7532,a),flip(a)]. 7535 a(x,y,R(x,z,u)) = a(w,v5,w). [para(13(a,1),7533(a,1,2))]. 7536 a(x,y,R(x,z,u)) = a(w,v5,R(w,v6,v7)). [hyper(171,a,7535,a,b,7535,a)]. 7538 x * a(y,z,R(y,u,w)) = x * a(v5,v6,v5). [hyper(21,a,7535,a)]. 7539 L(x,y,R(x,z,u)) = a(w,v5,w) \ x. [para(7535(a,1),7402(a,1,1)),flip(a)]. 7540 L(x,y,R(x,z,u)) = a(w,v5,L(w,v6,v7)) \ x. [para(7145(a,2),7539(a,2,1))]. 7560 K(x,R(x,y,z) \ u) = a(w,v5,R(w,v6,v7)) * K(x,u). [para(7536(a,1),6759(a,1,1)),flip(a)]. 7565 L(x,y,R(x,z,u)) = L(x,w,L(x,v5,v6)). [hyper(171,a,6697,a(flip),b,7540,a)]. 7567 K(L(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(7565(a,1),4736(a,1,1))]. 7568 L(K(x,y),z,L(x,u,w)) != v5 | K(x,y) = v5. [para(4711(a,1),7567(a,1))]. 7569 K(x,R(x,y,z) \ u) = K(x,u) * a(w,x \ u,R(w,v5,v6)). [hyper(171,a,7189,a(flip),b,7560,a)]. 7571 K(x,R(x,y,z) \ u) = K(x,u) * a(w,v5,w). [hyper(171,a,7538,a(flip),b,7569,a)]. 7573 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(171,a,3172,a,b,7571,a)]. 7574 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(6753,a,7573,a),flip(a)]. 7575 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(319(a,1),7573(a,1,2)),flip(a)]. 7576 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(6861,a,7575,a),flip(a)]. 7577 (T(x,y) \ K(x,z * (x \ u))) \ (T(x,y) \ 1) = K((x \ z) * u,x). [para(7576(a,1),3768(a,1,1,2))]. 7578 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(171,a,6596,a(flip),b,7574,a(flip)),flip(a)]. 7579 K((x \ y) * z,x) = K(y * (x \ z),x). [hyper(3810,a,7577,a),flip(a)]. 7580 K(x \ (y * z),x) = K((x \ y) * z,x). [hyper(171,a,6873,a,b,7579,a),flip(a)]. 7581 K(x \ ((x * y) * z),x) = K(y * z,x). [para(13(a,1),7580(a,2,1,1))]. 7582 K(x \ ((y * x) * z),x) = K(y * z,x). [hyper(171,a,6636,a,b,7581,a(flip)),flip(a)]. 7583 K((x \ y) \ (y * z),x \ y) = K(x * z,x \ y). [para(14(a,1),7582(a,1,1,2,1))]. 7584 (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(171,a,329,a(flip),b,5771,a)]. 7585 (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(171,a,1733,a(flip),b,7584,a(flip)),flip(a)]. 7586 (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(3050(a,1),7585(a,1,1,2,1))]. 7587 (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(3267(a,1),7586(a,1,1,2,1))]. 7588 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(4415(a,1),7587(a,1,1,2,1)),flip(a)]. 7589 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(171,a,3829,a(flip),b,7588,a(flip))]. 7591 (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(7589(a,1),1109(a,2,1,2)),flip(a)]. 7592 (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(3043(a,1),7591(a,1,1))]. 7593 (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(6689(a,1),7592(a,1,1))]. 7594 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(211,a,7593,a)]. 7597 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(171,a,3433,a(flip),b,7594,a(flip)),flip(a)]. 7598 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(171,a,4021,a(flip),b,7597,a)]. 7599 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(171,a,5202,a(flip),b,7598,a(flip))]. 7601 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(99(a,1),7599(a,1,2,2,1)),flip(a)]. 7602 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(171,a,7599,a,b,7601,a(flip)),flip(a)]. 7603 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(4786,a,7602,a)]. 7605 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(171,a,7578,a(flip),b,7603,a(flip))]. 7609 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(2978(a,1),7408(a,2,1,2,1))]. 7610 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(6442(a,1),7609(a,2,1))]. 7611 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(6019(a,1),7610(a,1,2,2,2,1))]. 7612 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(171,a,5980,a(flip),b,7611,a(flip)),flip(a)]. 7613 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(171,a,6912,a(flip),b,7612,a(flip)),flip(a)]. 7614 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(6953(a,1),7613(a,1,3))]. 7615 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(7416(a,1),5857(a,1,1))]. 7616 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(711(a,1),7615(a,1,2,1,2))]. 7619 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(171,a,2238,a(flip),b,7616,a(flip)),flip(a)]. 7621 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(171,a,5479,a,b,7619,a),flip(a)]. 7622 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2024,a,7621,a)]. 7623 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [hyper(746,a,7622,a)]. 7624 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [para(1696(a,1),7623(a,1,2))]. 7625 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(7623(a,1),2784(a,2,1)),flip(a)]. 7626 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(7624(a,2),6611(a,1,1))]. 7627 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(171,a,4274,a,b,7625,a)]. 7628 (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(7625(a,2),4305(a,1))]. 7629 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(7626(a,1),7235(a,1,2))]. 7630 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(171,a,1297,a(flip),b,7629,a(flip)),flip(a)]. 7631 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(171,a,5427,a(flip),b,7630,a)]. 7632 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(171,a,3268,a(flip),b,7631,a(flip))]. 7633 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(7631(a,1),63(a,1,1))]. 7634 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(7633(a,1),1648(a,1,2,1))]. 7635 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(171,a,5427,a(flip),b,7634,a)]. 7636 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(7632(a,1),7635(a,1,1))]. 7637 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(4128,a,7636,a)]. 7638 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(3918(a,1),7637(a,1,1))]. 7639 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(171,a,3269,a(flip),b,7638,a(flip))]. 7640 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(171,a,5434,a(flip),b,7639,a(flip)),flip(a)]. 7641 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(7640(a,1),63(a,1,1))]. 7642 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(7641(a,1),2174(a,1,1))]. 7643 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(7642(a,1),6058(a,1,2,1))]. 7644 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(6098,a,7643,a),flip(a)]. 7645 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(6286(a,1),6290(a,1,1,2,1,1)),flip(a)]. 7646 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(13(a,1),7645(a,2,1,2,1))]. 7648 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(6286(a,1),7646(a,1,1)),flip(a)]. 7649 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(3864(a,1),7648(a,2,2))]. 7650 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(171,a,6430,a,b,7649,a(flip)),flip(a)]. 7651 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(7649(a,1),5925(a,1,1))]. 7652 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(213,a,7650,a)]. 7653 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(3046(a,1),7651(a,1,1,2))]. 7654 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(171,a,6291,a(flip),b,7653,a(flip))]. 7655 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(2657,a,7654,a)]. 7657 K(x,a(K(y,z),u,u \ 1)) = 1. [para(7655(a,1),6780(a,1,2))]. 7658 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(37,a,7657,a)]. 7659 T(x,a(K(y,z),u \ 1,u)) = x. [para(723(a,1),7658(a,1,2,3))]. 7660 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(35,a,7659,a)]. 7661 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(171,a,1066,a,b,7660,a)]. 7662 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(3053(a,2),7661(a,1,1))]. 7663 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(171,a,5610,a,b,7662,a(flip)),flip(a)]. 7664 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(171,a,3951,a,b,7663,a(flip)),flip(a)]. 7665 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(6001,a,7664,a)]. 7666 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(723(a,1),7665(a,1,2,2,2))]. 7667 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(171,a,4274,a,b,7666,a)]. 7668 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(7666(a,1),4265(a,1,2)),flip(a)]. 7669 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(335(a,1),7667(a,1,2,2))]. 7670 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(718(a,2),7669(a,1,2,2,2))]. 7671 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(723(a,1),7669(a,1,2,2,2)),flip(a)]. 7672 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(3893(a,1),7670(a,1,2)),flip(a)]. 7673 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(4533,a,7671,a)]. 7674 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(4305,a,7671,a)]. 7675 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(3956(a,1),7671(a,1,2)),flip(a)]. 7676 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(7672(a,1),4270(a,1,2))]. 7677 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),7673(a,2,2,2))]. 7678 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(718(a,2),7673(a,1,2,2,1))]. 7679 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(4272,a,7677,a)]. 7680 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(7678(a,1),6999(a,1,3))]. 7681 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(171,a,4259,a(flip),b,7679,a(flip)),flip(a)]. 7683 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(7681(a,1),5292(a,1,1))]. 7684 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(7681(a,1),5590(a,1,1))]. 7685 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(4274(a,1),7684(a,1,1))]. 7687 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(171,a,4932,a(flip),b,7685,a(flip)),flip(a)]. 7688 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(60(a,1),7687(a,1,2,2,2))]. 7689 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(4304,a,7683,a)]. 7690 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(60(a,1),7683(a,1,2)),flip(a)]. 7692 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(4225(a,1),7689(a,1,1))]. 7693 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(4262(a,1),7690(a,2,1))]. 7694 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(5294,a,7692,a)]. 7695 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(7693(a,1),63(a,1,1))]. 7696 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(5922(a,1),7694(a,1,1,1,1))]. 7697 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(171,a,2860,a,b,7695,a(flip)),flip(a)]. 7698 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,7697,a)]. 7699 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),7698(a,1,3))]. 7700 a(K(K(x,y),z),u,u \ z) = 1. [para(2988(a,2),7698(a,1,1))]. 7701 a(K(x,K(y,z * u)),z,u) = 1. [para(4225(a,1),7699(a,1,1))]. 7702 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(171,a,4299,a,b,7700,a)]. 7703 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(171,a,4231,a(flip),b,7668,a)]. 7704 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(171,a,5071,a(flip),b,7703,a(flip)),flip(a)]. 7705 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(3935(a,1),7675(a,1,2))]. 7707 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(4388(a,1),7704(a,1,2)),flip(a)]. 7708 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(705(a,1),7705(a,1,2,2)),flip(a)]. 7709 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(4366,a,7708,a)]. 7710 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(16(a,1),7708(a,2,2,2))]. 7711 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(7708(a,1),4296(a,1,2,2))]. 7712 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(171,a,6375,a(flip),b,7709,a(flip))]. 7713 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(7710(a,1),4881(a,2,2))]. 7715 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(4405(a,1),7707(a,1,2)),flip(a)]. 7716 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(4545,a,7715,a),flip(a)]. 7717 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(723(a,1),7715(a,1,2,2,2)),flip(a)]. 7718 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(4543,a,7717,a),flip(a)]. 7719 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(7718(a,1),2877(a,1,1))]. 7720 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(7102,a,7711,a)]. 7721 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(7720(a,1),6963(a,1,2))]. 7722 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(4540,a,7716,a),flip(a)]. 7723 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(4504,a,7722,a)]. 7724 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(171,a,2793,a(flip),b,7723,a)]. 7725 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(2845,a,7724,a)]. 7726 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(7725(a,1),6650(a,1,1))]. 7727 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(7688(a,1),7702(a,2,2))]. 7728 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(7721(a,1),102(a,1,1)),flip(a)]. 7729 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(7721(a,1),2911(a,1,2,2)),flip(a)]. 7730 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(171,a,4852,a(flip),b,7676,a(flip))]. 7731 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(3934(a,2),7730(a,2,1))]. 7732 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(4472(a,1),7731(a,2,1))]. 7733 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(7732(a,2),3706(a,1,1))]. 7734 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(4359,a,7712,a),flip(a)]. 7735 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(4366,a,7734,a)]. 7736 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(2634(a,2),7735(a,2,2))]. 7737 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(4262(a,2),7727(a,2,2))]. 7738 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(2988(a,1),7737(a,1,1))]. 7739 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(171,a,6508,a(flip),b,7738,a),flip(a)]. 7740 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(171,a,7701,a(flip),b,7739,a)]. 7741 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(171,a,6522,a(flip),b,7740,a(flip)),flip(a)]. 7742 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),7741(a,1,2,2,2,3))]. 7743 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(4952(a,1),7726(a,1,1,2))]. 7744 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(3005(a,1),7743(a,1,1)),flip(a)]. 7745 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(171,a,5239,a(flip),b,7744,a)]. 7747 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(319(a,1),7745(a,1,2,1,1)),flip(a)]. 7748 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(171,a,3439,a(flip),b,7747,a(flip)),flip(a)]. 7749 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(171,a,5785,a(flip),b,7748,a(flip))]. 7751 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(171,a,6377,a(flip),b,7749,a(flip)),flip(a)]. 7752 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(51(a,1),7751(a,1,2,2))]. 7753 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(171,a,3454,a(flip),b,7752,a(flip)),flip(a)]. 7755 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(7753(a,2),2978(a,1,1))]. 7756 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(5228,a,7755,a)]. 7757 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(161(a,2),7756(a,2,2)),flip(a)]. 7758 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(4774,a,7757,a)]. 7759 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(171,a,5023,a(flip),b,7758,a(flip))]. 7760 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(171,a,7756,a(flip),b,7759,a(flip)),flip(a)]. 7761 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(335(a,1),7760(a,1,2)),flip(a)]. 7762 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(171,a,907,a(flip),b,7728,a)]. 7763 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(3934(a,2),7762(a,2,1))]. 7764 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(3471(a,2),7696(a,1,1))]. 7765 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(4356,a,7764,a)]. 7766 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(171,a,7674,a(flip),b,7765,a(flip)),flip(a)]. 7767 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),7766(a,1,2,2)),flip(a)]. 7768 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(7767(a,1),4226(a,1))]. 7769 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(28(a,2),7736(a,1,2,2,2)),flip(a)]. 7770 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(4228(a,1),7719(a,1,2,1,2))]. 7771 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(2914(a,1),7770(a,1,2,1,2,2))]. 7772 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(4264(a,1),7771(a,1,2,1,2))]. 7773 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(5252(a,1),7772(a,1,2,1,2))]. 7774 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(2782(a,1),7773(a,1,2,1))]. 7775 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(171,a,2973,a,b,7774,a(flip)),flip(a)]. 7776 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(4298(a,1),7775(a,1,1)),flip(a)]. 7777 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(3669(a,1),7776(a,2,2))]. 7778 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(171,a,4302,a(flip),b,7777,a)]. 7779 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(3043(a,1),5454(a,1,1,1))]. 7780 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(13(a,1),6374(a,1,1,1)),flip(a)]. 7781 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(171,a,3936,a(flip),b,7780,a)]. 7783 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(5249,a,7781,a(flip)),flip(a)]. 7784 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(4584,a,7783,a)]. 7785 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(171,a,6216,a(flip),b,7784,a(flip)),flip(a)]. 7786 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(5251,a,7785,a)]. 7787 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(4753,a,7786,a),flip(a)]. 7789 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(171,a,6541,a(flip),b,7787,a(flip)),flip(a)]. 7790 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(4118,a,7789,a),flip(a)]. 7791 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(171,a,5243,a,b,7790,a(flip)),flip(a)]. 7792 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(171,a,6569,a,b,7791,a(flip)),flip(a)]. 7793 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(30(a,2),7792(a,2,2,1))]. 7794 K(x,R(y,z,u) \ R(x,z,u)) != w | K(R(x,z,u),y \ x) = w. [para(7793(a,1),5041(a,1))]. 7795 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(7794,a,7605,a)]. 7796 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(171,a,7321,a(flip),b,7795,a(flip))]. 7797 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(171,a,7352,a(flip),b,7796,a(flip)),flip(a)]. 7798 R(K(x,y),z,u) = K(R(x,z,u),y). [para(3830(a,1),7797(a,1,1))]. 7799 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(7798(a,2),2978(a,1,1))]. 7803 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(7798(a,1),5468(a,1,1,1,2))]. 7805 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(5228,a,7799,a)]. 7806 K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. [para(7799(a,1),5228(a,1))]. 7807 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(171,a,7798,a(flip),b,7805,a(flip)),flip(a)]. 7808 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(171,a,7360,a(flip),b,7805,a(flip))]. 7812 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(5455,a,7807,a),flip(a)]. 7817 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(171,a,7807,a(flip),b,7812,a(flip)),flip(a)]. 7818 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,v5,x)) = R(K(x,y),z,u). [hyper(7285,a,7803,a)]. 7820 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(7818(a,1),127(a,1))]. 7823 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(7204(a,1),7779(a,1,1))]. 7824 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(4117,a,7823,a)]. 7826 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(171,a,6803,a(flip),b,7824,a(flip)),flip(a)]. 7827 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(171,a,6752,a(flip),b,7826,a(flip))]. 7828 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(171,a,6522,a(flip),b,7827,a)]. 7829 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(171,a,7742,a(flip),b,7828,a)]. 7830 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(4117,a,7829,a)]. 7832 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(7830(a,1),2895(a,1,1))]. 7833 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(7205(a,1),7832(a,1,2))]. 7834 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(70,a,7833,a)]. 7835 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(4273(a,1),7833(a,1,2,1))]. 7836 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(3857,a,7834,a)]. 7837 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(3070,a,7834,a)]. 7838 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(3424(a,1),7834(a,1,2))]. 7840 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(5036(a,1),7834(a,1,2))]. 7841 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(7834(a,1),5612(a,1,1)),flip(a)]. 7842 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(7834(a,1),6525(a,2,2))]. 7843 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(7834(a,1),7652(a,1,1,2))]. 7844 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(7805(a,1),7834(a,1,2))]. 7845 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(7836(a,1),6431(a,2,2))]. 7846 (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(7837(a,1),5686(a,1,1)),flip(a)]. 7847 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [para(7844(a,1),6341(a,1,1)),flip(a)]. 7849 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(171,a,7844,a(flip),b,7840,a(flip))]. 7850 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(3070,a,7841,a)]. 7851 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(7834(a,1),7843(a,1,2))]. 7853 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(67,a,101,a(flip),b,7851,a)]. 7854 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(7847(a,1),7373(a,1,1,1))]. 7855 R(K(x,y),z,u) * L(w,v5,w) = K(x,x * y) * (a(K(x,y),z,u) * w). [hyper(171,a,6358,a,b,7850,a(flip))]. 7856 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(171,a,3290,a(flip),b,7838,a)]. 7857 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(4932(a,1),7835(a,1,2,2))]. 7858 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(6731(a,1),7857(a,1,2))]. 7859 R(K(x,y),z,u) * L(x,w,x) = K(x,x * y) * (x * a(K(x,y),z,u)). [para(4978(a,1),7855(a,2,2))]. 7860 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,w,x). [hyper(171,a,2808,a(flip),b,7859,a),flip(a)]. 7861 L(x * R(K(x,y),z,u),w,x) = T(x,x * y) * a(K(x,y),z,u). [hyper(171,a,5472,a,b,7860,a),flip(a)]. 7862 L(x * K(x,R(y,z,u)),w,x) = T(x,x * y) * a(K(x,y),z,u). [para(7805(a,1),7861(a,1,1,2))]. 7863 L(T(x,R(y,z,u)),w,x) = T(x,x * y) * a(K(x,y),z,u). [para(2793(a,2),7862(a,1,1))]. 7864 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(171,a,7845,a(flip),b,7846,a)]. 7865 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(238(a,1),7854(a,1,1)),flip(a)]. 7866 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(171,a,4980,a(flip),b,7865,a)]. 7867 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(4228(a,1),7866(a,1,2,1,1))]. 7868 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(4933(a,1),7867(a,1,2,1))]. 7869 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(2800(a,2),7868(a,1,2))]. 7870 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(171,a,5093,a,b,7869,a(flip)),flip(a)]. 7871 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(4266(a,1),7870(a,1,1))]. 7872 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(6504,a,7871,a)]. 7873 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(171,a,7842,a(flip),b,7872,a(flip))]. 7874 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,2793,a(flip),b,7873,a)]. 7875 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(171,a,7847,a,b,7874,a(flip)),flip(a)]. 7876 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(7875(a,1),7858(a,1,2))]. 7877 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(70,a,7876,a),flip(a)]. 7878 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(171,a,7874,a,b,7877,a)]. 7879 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(4258(a,1),7877(a,1,1))]. 7880 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(4258(a,1),7878(a,1,1))]. 7881 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(7849(a,2),7878(a,2,1)),flip(a)]. 7882 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(171,a,7880,a,b,7881,a(flip)),flip(a)]. 7883 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(2928(a,1),5986(a,1,1))]. 7884 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(2928(a,1),7883(a,1,2,1,1)),flip(a)]. 7885 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(2978(a,1),7884(a,2,2,1))]. 7886 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(3424(a,1),7885(a,2,2))]. 7887 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(2751(a,1),7886(a,1,1,1)),flip(a)]. 7888 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(3424(a,1),7887(a,2,1,2))]. 7889 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(171,a,7838,a(flip),b,7888,a(flip))]. 7890 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(171,a,5167,a(flip),b,7889,a)]. 7891 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(7856(a,1),7890(a,1,1)),flip(a)]. 7892 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(114(a,1),7729(a,2,2))]. 7893 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(171,a,2785,a,b,7892,a)]. 7895 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(171,a,4262,a,b,7893,a)]. 7896 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(7763(a,1),7895(a,1,2))]. 7897 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(7086,a,7896,a)]. 7898 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(4272,a,7897,a)]. 7899 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(171,a,3991,a(flip),b,7898,a(flip)),flip(a)]. 7901 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(2629(a,1),7899(a,1,2))]. 7902 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(1131(a,1),5613(a,1,2,1)),flip(a)]. 7904 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(2197(a,1),7902(a,2,2,2))]. 7905 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(5551(a,1),6426(a,1,2))]. 7906 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(5061(a,1),7905(a,1,2))]. 7907 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(7247(a,1),7906(a,1,2)),flip(a)]. 7908 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(723(a,1),7907(a,1,1,1))]. 7909 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(6425(a,1),7908(a,1,1)),flip(a)]. 7910 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(7909(a,1),5382(a,1,1))]. 7911 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(5381(a,1),7910(a,1,2))]. 7912 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(171,a,5533,a(flip),b,7911,a(flip)),flip(a)]. 7913 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(2957(a,1),7912(a,1,2))]. 7914 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(171,a,7255,a(flip),b,7913,a(flip))]. 7916 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(4058(a,1),6427(a,1,2,1))]. 7917 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(2410(a,1),7916(a,1,2,2)),flip(a)]. 7918 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(5015(a,1),7917(a,2,2))]. 7919 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(13(a,1),7918(a,2,2,1))]. 7920 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(6729(a,1),7919(a,1,1,2))]. 7921 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(4891(a,1),7920(a,1,1))]. 7923 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(6729(a,1),7921(a,1,2,1))]. 7924 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(874(a,1),7923(a,1,2,2))]. 7925 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(4149(a,1),7924(a,1,2))]. 7926 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(6237(a,1),7925(a,1,2)),flip(a)]. 7927 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(171,a,5077,a,b,7926,a)]. 7929 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(5919,a,7927,a),flip(a)]. 7930 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(7840(a,1),7929(a,1,1))]. 7931 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = (L(y,z,u) * T(x,y)) \ (x * L(y,z,u)). [para(752(a,1),5901(a,1,2)),flip(a)]. 7933 (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(2594(a,1),3465(a,1,2)),flip(a)]. 7934 (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(171,a,3101,a(flip),b,7933,a)]. 7935 (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(4020(a,1),7934(a,2,2))]. 7936 (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(5866(a,1),7935(a,2,2))]. 7937 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (y * x) * (1 / x). [hyper(171,a,100,a(flip),b,7936,a)]. 7938 (x * y) * (((1 / x) * (y * x)) / (x * y)) = (y * x) * (1 / x). [para(2594(a,1),7937(a,1,2,1))]. 7939 (x * y) * (1 / T(x,y)) = (y * x) * (1 / x). [para(6272(a,1),7938(a,1,2))]. 7940 (x * (x \ (y / (1 / x)))) * (1 / T(x,x \ (y / (1 / x)))) = (T(y,x) / (1 / x)) * (1 / x). [para(999(a,1),7939(a,2,1))]. 7941 (x / (1 / y)) * (1 / T(y,y \ (x / (1 / y)))) = (T(x,y) / (1 / y)) * (1 / y). [hyper(368,a,7940,a)]. 7943 (x / (1 / y)) * (1 / T(y,(x / (1 / y)) / y)) = (T(x,y) / (1 / y)) * (1 / y). [para(909(a,2),7941(a,1,2,2))]. 7944 (T(x,y) / (1 / y)) * (1 / y) = (x / (1 / y)) * (1 / T(y,x)). [para(6889(a,1),7943(a,1,2,2)),flip(a)]. 7945 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(366,a,7944,a)]. 7946 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(102(a,1),7945(a,1,2,2))]. 7947 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(7946(a,1),2403(a,1,2)),flip(a)]. 7948 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(7947(a,2),2192(a,1,1))]. 7949 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(171,a,5049,a(flip),b,5304,a)]. 7950 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(171,a,4262,a(flip),b,7949,a)]. 7951 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ z,z \ (z / (((x \ z) \ 1) \ 1))),u) = K(((z \ (z / (x \ z))) * (x \ z)) \ (z / (((x \ z) \ 1) \ 1)),u). [para(1915(a,1),2199(a,1,1,1,2))]. 7952 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(171,a,13,a(flip),b,7206,a)]. 7954 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(7204(a,1),7952(a,1,3))]. 7956 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(7834(a,1),7954(a,1,3))]. 7957 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(7956(a,1),89(a,1,2))]. 7958 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(171,a,7864,a(flip),b,7957,a(flip))]. 7959 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(3048(a,1),7958(a,1,2))]. 7960 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(4390(a,1),7959(a,1,1,1)),flip(a)]. 7961 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(139,a,7960,a),flip(a)]. 7962 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(171,a,7930,a(flip),b,7961,a),flip(a)]. 7963 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(513(a,1),7962(a,2,1,2))]. 7964 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(4594,a,7963,a)]. 7965 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),7963(a,1,1))]. 7966 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(171,a,4183,a(flip),b,7965,a(flip)),flip(a)]. 7967 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(171,a,7355,a(flip),b,7966,a(flip)),flip(a)]. 7968 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(2620(a,1),7967(a,2,1))]. 7969 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(171,a,3117,a(flip),b,7968,a)]. 7970 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(3273,a,7969,a),flip(a)]. 7971 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(7970(a,1),7879(a,2,2))]. 7972 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(171,a,7882,a(flip),b,7971,a(flip))]. 7973 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(171,a,7049,a,b,7972,a(flip)),flip(a)]. 7974 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(4262(a,2),7973(a,2,1))]. 7975 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(7121,a,7974,a)]. 7976 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(171,a,5581,a(flip),b,7975,a(flip)),flip(a)]. 7977 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(4274(a,1),7976(a,2,1))]. 7978 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(4937(a,1),7977(a,2,1))]. 7979 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(5602,a,7978,a)]. 7982 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(171,a,5787,a(flip),b,7979,a(flip)),flip(a)]. 7984 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(7963(a,1),7964(a,1,1))]. 7985 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(171,a,7891,a,b,7984,a(flip)),flip(a)]. 7986 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(171,a,6655,a(flip),b,7985,a(flip)),flip(a)]. 7987 ((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(6953(a,1),7372(a,1,2,2))]. 7989 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2211(a,1),7951(a,1,1,1))]. 7990 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(99(a,1),7989(a,1,1,1)),flip(a)]. 7991 K(R(x,x \ y,y \ (z * (((z \ x) \ 1) \ 1))),u) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),u). [para(1915(a,1),7990(a,2,1,3,2)),flip(a)]. 7992 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(13(a,1),7991(a,1,1,3)),flip(a)]. 7994 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(723(a,1),7992(a,2,1,3))]. 7995 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(60(a,1),7994(a,1,1,1,1,2))]. 7996 K(((x \ y) * (y \ x)) \ (z * (((z \ y) \ 1) \ 1)),u) = K(R(y,y \ x,x \ y),u). [para(1915(a,1),7995(a,1,1,2))]. 7997 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(171,a,6075,a(flip),b,7996,a(flip)),flip(a)]. 7999 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(32(a,2),7997(a,1,1,1,1)),flip(a)]. 8000 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(6630(a,1),7999(a,2,1,1))]. 8001 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(171,a,4703,a(flip),b,8000,a)]. 8002 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),8001(a,1,1,3))]. 8003 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(3935(a,1),8002(a,2,1))]. 8004 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(171,a,5184,a(flip),b,8003,a(flip)),flip(a)]. 8005 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(8004(a,1),5593(a,2,2))]. 8006 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(171,a,89,a(flip),b,8005,a)]. 8007 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(3945(a,1),8006(a,2,2))]. 8008 (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(171,a,7713,a(flip),b,7987,a(flip)),flip(a)]. 8009 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(5575(a,1),8008(a,1,2,2)),flip(a)]. 8010 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(4274(a,1),8009(a,2,2))]. 8012 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(7901(a,1),8010(a,2,2))]. 8013 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(4258(a,1),8012(a,2,2))]. 8014 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(6953(a,1),8013(a,1,1,2))]. 8015 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(171,a,6800,a,b,8014,a(flip)),flip(a)]. 8016 (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(7371(a,1),8015(a,1,1)),flip(a)]. 8017 T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. [para(8016(a,1),378(a,1))]. 8018 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(3089(a,1),7126(a,1,1,1))]. 8019 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(7914(a,1),8018(a,1,1))]. 8020 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(5059(a,1),8019(a,1,1,1)),flip(a)]. 8021 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(1450(a,1),8020(a,2,2))]. 8022 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(3423(a,1),8021(a,2,2))]. 8023 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(6130(a,1),8022(a,2,2))]. 8024 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(13(a,1),8023(a,2,2,1))]. 8025 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(171,a,3754,a(flip),b,8024,a)]. 8027 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(171,a,4920,a(flip),b,8025,a)]. 8028 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(3089(a,1),8027(a,1,1,1))]. 8029 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(7914(a,1),8028(a,1,1))]. 8030 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5059(a,1),8029(a,1,1,1))]. 8031 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(171,a,2148,a(flip),b,8030,a(flip)),flip(a)]. 8032 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(913(a,1),8031(a,2,1))]. 8033 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(7138(a,1),8032(a,2,2))]. 8034 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(7138(a,1),8033(a,1,1,1))]. 8035 (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(723(a,1),5619(a,1,2,1,2,2,2,2,1))]. 8036 (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(4258(a,1),8035(a,1,2,1))]. 8037 (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(6146(a,1),8036(a,1,2,1,2))]. 8038 (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(4492(a,1),8037(a,1,2,1,2))]. 8039 (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(4257(a,1),8038(a,1,2,1))]. 8041 (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(723(a,1),8039(a,1,2,2,1,2,1,2,2,2,1))]. 8042 (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(4228(a,1),8041(a,1,2,2,1,2))]. 8043 (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(6687(a,1),8042(a,1,2,2,1,2,2))]. 8044 (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(3955(a,1),8043(a,1,2,2,1,2,2))]. 8046 (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(4243(a,1),8044(a,1,2,2,1,2))]. 8047 (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(2782(a,1),8046(a,1,2,2,1))]. 8048 (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(3672(a,2),8047(a,1,2))]. 8049 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(171,a,3369,a(flip),b,8048,a(flip)),flip(a)]. 8050 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(3669(a,1),8049(a,1,2)),flip(a)]. 8051 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(171,a,4302,a(flip),b,8050,a)]. 8052 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(662(a,1),8051(a,1,1)),flip(a)]. 8053 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(171,a,7778,a,b,8052,a(flip)),flip(a)]. 8054 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(662(a,1),8053(a,1,1))]. 8055 (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(8054(a,1),7627(a,1,2))]. 8056 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(7628,a,8055,a),flip(a)]. 8057 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(171,a,4262,a,b,8056,a)]. 8058 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(171,a,7767,a(flip),b,8057,a(flip)),flip(a)]. 8059 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(171,a,4258,a,b,8058,a)]. 8060 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(7768,a,8059,a)]. 8061 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(171,a,7769,a,b,8060,a(flip)),flip(a)]. 8062 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(171,a,7160,a(flip),b,8061,a)]. 8063 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(4365,a,8062,a)]. 8064 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(8062(a,1),4365(a,1))]. 8065 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(171,a,3180,a,b,8063,a(flip)),flip(a)]. 8066 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(171,a,7950,a,b,8065,a(flip)),flip(a)]. 8067 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(5026,a,8066,a)]. 8068 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(171,a,7982,a(flip),b,8067,a(flip)),flip(a)]. 8069 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(5254(a,1),8068(a,1,1)),flip(a)]. 8070 K(x,K(y * z,a(y,z,u))) = 1. [hyper(171,a,7701,a(flip),b,8069,a)]. 8071 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(8064,a,8070,a)]. 8074 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(8071(a,1),4647(a,1,1)),flip(a)]. 8075 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(171,a,11,a(flip),b,8074,a)]. 8076 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(8075(a,1),4648(a,1,1)),flip(a)]. 8077 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(4006,a,8076,a)]. 8078 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(4771,a,8077,a)]. 8079 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(171,a,5039,a,b,8078,a(flip)),flip(a)]. 8080 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(7970(a,2),8079(a,1,1))]. 8081 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(171,a,7891,a,b,8080,a(flip)),flip(a)]. 8082 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(171,a,7986,a(flip),b,8081,a(flip)),flip(a)]. 8083 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(171,a,3028,a,b,8082,a),flip(a)]. 8085 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(171,a,7849,a(flip),b,8083,a)]. 8086 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(171,a,7163,a(flip),b,8085,a(flip))]. 8087 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(8086(a,1),7853(a,1,1,2))]. 8088 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(171,a,6464,a(flip),b,8087,a(flip))]. 8089 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(171,a,8086,a(flip),b,8088,a(flip))]. 8090 a(x,x \ 1,K(y,z)) = 1. [hyper(171,a,2919,a(flip),b,8088,a(flip))]. 8091 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(8088(a,1),82(a,1,2))]. 8092 (x * K(y,z)) * a(y,u,K(u \ x,T(z,x))) = (K(y,T(z,x)) * u) * (u \ x). [para(8088(a,1),4436(a,1,2))]. 8093 L(K(x,y),z \ 1,z) = K(x,y). [hyper(33,a,8090,a)]. 8094 K((x \ 1) \ y,z) = K(x * y,z). [hyper(171,a,7023,a(flip),b,8093,a(flip))]. 8095 L(K(x,y),z,z \ 1) = K(x,y). [hyper(171,a,2422,a(flip),b,8093,a(flip)),flip(a)]. 8097 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(67,a,8093,a(flip),b,154,a),flip(a)]. 8099 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(6982,a,8095,a)]. 8100 (1 / x) * (x * K(y,z)) = K(y,z). [hyper(739,a,8095,a)]. 8101 (1 / x) \ K(y,z) = x * K(y,z). [hyper(67,a,8095,a(flip),b,730,a)]. 8102 K(x,L(y,z,z \ x)) = K(x,y). [hyper(7221,a,8099,a)]. 8103 K(x,y * (z \ 1)) = K(x,y / z). [hyper(171,a,7761,a(flip),b,8099,a(flip)),flip(a)]. 8104 K(x,(1 / y) * z) = K(x,y \ z). [para(734(a,1),8099(a,1,2))]. 8105 K(x,(y \ 1) \ z) = K(x,y * z). [para(876(a,1),8099(a,1,2)),flip(a)]. 8107 K(x * y,L(z,x,y)) = K(x * y,z). [para(13(a,1),8102(a,1,2,3))]. 8108 K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). [hyper(6997,a,8089,a)]. 8109 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(171,a,8088,a,b,8089,a),flip(a)]. 8110 a(x,y * z,K(y,u)) = a(y,z,K(u,x)). [hyper(171,a,6998,a,b,8089,a),flip(a)]. 8111 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(171,a,7164,a(flip),b,8089,a)]. 8112 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(21,a,8089,a)]. 8113 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [hyper(171,a,6442,a,b,8089,a(flip)),flip(a)]. 8114 a(x,y,K(z,K(u,w))) = a(w,y,K(x,K(z,u))). [para(4228(a,1),8089(a,1,3))]. 8115 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(4260(a,1),8089(a,1,3))]. 8116 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(8089(a,2),6445(a,1,2))]. 8117 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(8089(a,1),6451(a,2,1))]. 8118 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(8089(a,2),6465(a,1,1))]. 8119 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [para(8089(a,1),6995(a,1,1))]. 8120 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(8089(a,1),7455(a,2,2))]. 8121 K((x \ 1) * y,z) = K(x \ y,z). [hyper(3556,a,8094,a),flip(a)]. 8126 x * (y * K(x * y,z)) = T(x * y,z). [para(8094(a,1),4138(a,1,2,2))]. 8127 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(8094(a,1),4139(a,1,1,2))]. 8130 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(8094(a,1),5386(a,1,1,2))]. 8131 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(3772,a,8097,a)]. 8136 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(8097(a,1),406(a,1))]. 8137 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(8097(a,1),3759(a,1,1))]. 8138 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(8097(a,1),3773(a,1,1))]. 8140 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(8100(a,1),72(a,1,2)),flip(b)]. 8141 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(171,a,4095,a(flip),b,8101,a)]. 8143 (x / y) \ T(x,z) = y * K(x,z). [hyper(171,a,7230,a(flip),b,8101,a(flip)),flip(a)]. 8146 T(x,y * (1 / z)) = x * K(x,y / z). [para(8103(a,1),2843(a,1,2)),flip(a)]. 8147 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(3550,a,8104,a)]. 8149 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(171,a,1436,a,b,8105,a),flip(a)]. 8150 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [hyper(67,a,8105,a(flip),b,8100,a)]. 8151 L(K(x,y),z,u) \ K(x,y) = a(K(y,x),z,u). [hyper(171,a,6454,a,b,8109,a),flip(a)]. 8152 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(8111(a,2),2796(a,1,2))]. 8153 R(x,y,a(y,z,K(u,w))) = x. [para(8111(a,2),3729(a,1,3))]. 8154 L(a(x,y,K(z,u)),w,v5) = K(x,L(a(u,y,z),w,v5)). [para(8111(a,2),6953(a,1,1))]. 8155 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(8111(a,1),7164(a,2,2))]. 8157 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(406,a,8131,a),flip(a)]. 8161 (x / y) * (y * K(x,z)) = T(x,z). [para(8143(a,1),14(a,1,2))]. 8164 K(x,y \ L(x,z,u)) = K(x,x * (y \ 1)). [hyper(5647,a,8147,a),flip(a)]. 8167 1 / (x * K(y,z)) = K(z,y) / x. [para(8157(a,1),60(a,1,2))]. 8169 T(x,y) / (z \ x) = K(x,y) * z. [hyper(68,a,8161,a(flip),b,6675,a)]. 8170 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(67,a,8161,a(flip),b,6675,a)]. 8173 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(8167(a,1),5763(a,1,2,1,2,2))]. 8174 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [para(8097(a,1),8167(a,1,2)),flip(a)]. 8175 K(x,y) * (1 / z) = K(x,y) / z. [hyper(171,a,7231,a(flip),b,8169,a(flip))]. 8176 K(x,y) * (x / z) = T(x,y) / z. [para(63(a,1),8169(a,1,2)),flip(a)]. 8178 (K(x,y) \ z) \ T(y,x) = z \ y. [para(3043(a,2),8170(a,1,1))]. 8179 1 / (x \ K(y,z)) = K(y,z) \ x. [hyper(67,a,60,a(flip),b,8175,a),flip(a)]. 8180 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [hyper(171,a,2871,a,b,8175,a(flip)),flip(a)]. 8181 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(8175(a,1),705(a,1,1))]. 8183 K(x,y) * (T(y,x) / z) = y / z. [hyper(3070,a,8176,a)]. 8185 (K(x,y) \ z) \ (y * x) = z \ (x * y). [hyper(171,a,5952,a(flip),b,8178,a(flip)),flip(a)]. 8186 (K(x,y) \ z) \ 1 = z \ K(x,y). [para(8179(a,1),63(a,1,1))]. 8187 K(K(x,y) \ (y / z),u) = K(T(y,x) / z,u). [para(8183(a,1),441(a,1,1,2))]. 8190 (x \ y) \ K(x \ y,T(x,z)) = (T(y,K(x,z)) / x) \ 1. [para(7272(a,1),8186(a,1,1)),flip(a)]. 8191 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(7052,a,8126,a)]. 8193 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(8191(a,1),297(a,1,2)),flip(a)]. 8194 T(x,y * (1 / z)) = T(x,y / z). [hyper(171,a,2793,a,b,8146,a)]. 8195 T(x,T(y \ z,y)) = T(x,z * (1 / y)). [hyper(171,a,4951,a,b,8194,a),flip(a)]. 8196 T(x,y / (1 / z)) = T(x,y * z). [hyper(171,a,2149,a(flip),b,8194,a(flip))]. 8198 K(x * (1 / y),z) = z / T(z,x / y). [para(8194(a,1),2748(a,2,2))]. 8199 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(171,a,4670,a(flip),b,8196,a(flip))]. 8200 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(8149(a,1),4773(a,1))]. 8201 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(5030,a,8174,a),flip(a)]. 8203 (x * y) / (z \ (y * x)) = K(y,x) \ z. [para(8185(a,1),60(a,1,2))]. 8204 T(1 / x,y * (1 / x)) = T(1 / x,x \ y). [hyper(171,a,4045,a(flip),b,8195,a(flip))]. 8205 K(x * (1 / y),z) = K(x / y,z). [hyper(171,a,2748,a,b,8198,a)]. 8206 K(x / (1 / y),z) = K(x * y,z). [hyper(171,a,1387,a(flip),b,8205,a(flip))]. 8208 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(8206(a,1),5796(a,2,2))]. 8209 (x * y) / (y * T(x,T(z,y))) = K(y,x) \ K(z,x). [para(5012(a,1),8203(a,1,2))]. 8210 K(x,y \ L(x,z,u)) = K(x,y \ x). [hyper(171,a,3152,a(flip),b,8164,a)]. 8213 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(4386(a,1),8193(a,2,1,2)),flip(a)]. 8214 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(6651(a,2),8200(a,1))]. 8216 K(x,y) * (K(y,L(x,z,u)) * w) = a(y,z,K(u,x)) * w. [para(8108(a,1),6304(a,1,1)),flip(a)]. 8217 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(8108(a,1),7008(a,1))]. 8219 a(K(x,y),z,u) != w | a(u,z,K(y,x)) = w. [para(8088(a,2),8217(a,1))]. 8220 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(8089(a,1),8217(a,1))]. 8223 a(x,y,K(z,K(u,w))) != v5 | a(z,y,K(x,K(u,w))) = v5. [para(4273(a,1),8220(a,1,3))]. 8225 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(4262(a,1),8115(a,2,3))]. 8226 L(K(x,y),z,K(1 / z,u)) = K(x,y) * 1. [para(4241(a,1),8116(a,1,2)),flip(a)]. 8227 K(x,K(y,z)) * a(y,u,K(K(x,w),z)) = L(K(x,K(y,z)),u,w). [para(8088(a,1),8116(a,1,2))]. 8228 L(K(x,y),z,K(1 / z,u)) != K(x,y) * w | 1 = w. [para(8226(a,2),19(a,1))]. 8229 x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). [para(8118(a,1),3246(a,1,2,2,2,1))]. 8230 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(171,a,6953,a,b,8119,a)]. 8231 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,u * z)). [para(3017(a,1),8119(a,1,1,3))]. 8232 K(x,L(y,z * u,z)) = a(z,u,K(y,x)) * K(x,y). [para(8110(a,1),8119(a,1,1)),flip(a)]. 8233 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(8141(a,1),4104(a,2,1))]. 8234 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(4258(a,1),8155(a,1,3))]. 8235 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(8181(a,1),7733(a,1,1))]. 8236 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(8167(a,2),8181(a,1,1))]. 8237 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(2966(a,1),8201(a,1,2))]. 8238 T(1 / x,y * (x \ 1)) = T(1 / x,x \ y). [hyper(3237,a,8204,a)]. 8239 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(7120,a,8225,a)]. 8240 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(171,a,7007,a(flip),b,8230,a)]. 8241 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(8230(a,1),20(a,1))]. 8242 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(8230(a,2),7028(a,1))]. 8243 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(171,a,8115,a(flip),b,8234,a(flip)),flip(a)]. 8244 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(3259(a,1),8237(a,2,2))]. 8245 T(1 / x,(x \ 1) * y) = T(1 / x,x \ y). [hyper(171,a,4164,a,b,8238,a(flip)),flip(a)]. 8246 T(1 / x,x \ y) * L(T(1 / x,(x \ 1) * y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). [para(8245(a,1),1944(a,1,1))]. 8247 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,2342,a(flip),b,8130,a)]. 8248 x \ ((1 / x) \ K(y,z * u)) = K(y,(z \ 1) \ u). [hyper(67,a,8150,a,b,xx)]. 8249 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(14(a,1),8150(a,1,2,2)),flip(a)]. 8251 a(x,y,K(z,L(u,w,v5))) = K(x,L(a(u,y,z),w,v5)). [hyper(171,a,7614,a,b,8154,a(flip)),flip(a)]. 8252 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(5651,a,8199,a),flip(a)]. 8254 K(x,L(y,z,y * u)) = K(x,L(y,z,u)). [hyper(171,a,8119,a(flip),b,8231,a(flip))]. 8255 K(x,L(y,z * u,z)) = K(x,L(y,u,z)). [hyper(171,a,6995,a(flip),b,8232,a)]. 8256 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [para(14(a,1),8255(a,1,2,2)),flip(a)]. 8257 K(x,L(y,z * (u * w),z * u)) = K(x,L(y,L(w,u,z),z * u)). [para(89(a,1),8255(a,1,2,2))]. 8258 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(171,a,4510,a(flip),b,8236,a(flip)),flip(a)]. 8259 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(8258(a,1),8175(a,1,2))]. 8261 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = v5 \ ((1 / v5) \ K((x * y) \ w,x * y)). [para(4843(a,1),8248(a,1,2,2)),flip(a)]. 8262 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(576(a,1),8249(a,1,2,2)),flip(a)]. 8266 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(w,x))) = v5. [para(8114(a,1),8223(a,1))]. 8268 K(x \ y,y \ (x * z)) \ K(y \ (x * (((x \ y) \ z) \ z)),T(y,u)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(6205(a,1),8190(a,1,1))]. 8269 K(x,y) * (a(x,z,K(u,y)) * w) != v5 | K(x,L(y,z,u)) * w = v5. [para(8216(a,1),3054(a,1,2)),flip(b)]. 8270 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(171,a,6275,a(flip),b,8244,a)]. 8271 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(8270(a,1),63(a,1,1)),flip(a)]. 8272 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(8271(a,2),2201(a,2,1))]. 8273 ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | K(x,y) * (z * u) = w. [para(8091(a,1),213(a,1,1)),flip(b)]. 8274 K(x,K(y,z)) * a(y,u,K(x,K(z,w))) = L(K(x,K(y,z)),u,w). [para(4271(a,1),8227(a,1,2,3))]. 8275 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(4274(a,1),8239(a,1,2))]. 8276 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(90(a,2),8240(a,2,2,2)),flip(a)]. 8277 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(4282(a,1),8240(a,1,1,3))]. 8278 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(6876(a,1),8247(a,1,2))]. 8279 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),8278(a,1,2,1))]. 8281 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(118(a,1),8279(a,1,1)),flip(a)]. 8284 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(171,a,3754,a(flip),b,8281,a)]. 8285 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(8284(a,1),60(a,1,2)),flip(a)]. 8286 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(8140,a,8262,a),flip(a)]. 8287 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(171,a,7644,a,b,8286,a(flip)),flip(a)]. 8288 K(x,K(y,z)) * a(y,u,K(x,K(z,w))) = K(x,K(y,L(z,u,w))). [hyper(171,a,6975,a(flip),b,8274,a)]. 8289 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(171,a,6510,a(flip),b,8275,a(flip)),flip(a)]. 8290 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(6455(a,1),8289(a,1,1))]. 8291 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(4274(a,1),8290(a,2,3))]. 8292 K(x,L(y,L(z,u,y),y * u)) = K(x,L(y,u * z,y * u)). [hyper(6972,a,8257,a),flip(a)]. 8293 K(x,((y * z) * (y * (z * u))) \ ((y * z) * ((y * z) * u))) = K(x,L(a(y,z,u),L(u,z,y),y * z)). [para(314(a,2),8257(a,1,2))]. 8294 K(x,L(y,L(z,u,y),y * u)) = K(x,L(y,u * z,u)). [hyper(171,a,8254,a(flip),b,8292,a)]. 8295 K(x,L(y,L(z,u,y),y * u)) = K(x,L(y,z,u)). [hyper(171,a,8255,a(flip),b,8294,a)]. 8296 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(4639(a,1),8208(a,2,2))]. 8297 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(171,a,4051,a(flip),b,8296,a)]. 8298 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(60(a,1),8297(a,1,1))]. 8299 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(8273,a,6461,a),flip(a)]. 8300 ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. [para(6461(a,1),8273(a,1))]. 8301 ((K(x,y) * z) * u) \ (K(x,y) * (z * u)) = a(u,z,K(x,y)). [hyper(67,a,8299,a(flip),b,8112,a(flip))]. 8303 R(K(x,y) * z,u,a(u,z,K(x,y))) \ (K(x,y) * (z * u)) = u * (((K(x,y) * z) * u) \ (K(x,y) * (z * u))). [para(8301(a,1),321(a,1,1,3))]. 8304 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(50(a,1),8287(a,1,2)),flip(a)]. 8305 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(171,a,2625,a(flip),b,8304,a)]. 8306 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(171,a,7031,a(flip),b,8305,a)]. 8308 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(171,a,6097,a(flip),b,8306,a)]. 8309 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),8308(a,1,2,1,1,1)),flip(a)]. 8310 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(6365,a,8309,a),flip(a)]. 8311 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(3563,a,8310,a)]. 8312 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(171,a,6436,a(flip),b,8310,a(flip)),flip(a)]. 8313 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(171,a,7258,a(flip),b,8311,a(flip))]. 8314 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),8312(a,1,2,1,1)),flip(a)]. 8315 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(171,a,6206,a,b,8314,a(flip)),flip(a)]. 8316 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(8313(a,1),5186(a,1,1))]. 8317 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(60(a,1),8298(a,1,2,1)),flip(a)]. 8318 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(3079(a,1),8317(a,1,1))]. 8319 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(8318(a,2),2563(a,1,2))]. 8320 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(8318(a,2),8272(a,2,1,1,2,1)),flip(a)]. 8321 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(4258(a,1),8242(a,1,1,3))]. 8322 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(8321,a,8277,a),flip(a)]. 8323 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(63(a,1),8322(a,1,2,2,3)),flip(a)]. 8324 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(171,a,6207,a(flip),b,8315,a(flip))]. 8325 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(4584,a,8324,a)]. 8327 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(171,a,5733,a(flip),b,8325,a(flip))]. 8329 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(100(a,1),8327(a,1,2,1,1,2))]. 8330 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(171,a,6368,a(flip),b,8329,a(flip))]. 8331 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(4868,a,8330,a)]. 8332 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(727(a,1),8331(a,2,2,1,1,2))]. 8333 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(171,a,7339,a(flip),b,8332,a),flip(a)]. 8334 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(8333(a,2),5186(a,1,1))]. 8335 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(171,a,5192,a(flip),b,8334,a(flip)),flip(a)]. 8336 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(171,a,5186,a(flip),b,8316,a(flip))]. 8337 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(171,a,7351,a(flip),b,8336,a(flip))]. 8338 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(60(a,1),8337(a,2,2,2))]. 8339 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(171,a,8335,a,b,8338,a(flip)),flip(a)]. 8341 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(7807(a,1),8339(a,1,1))]. 8342 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(7820,a,8341,a)]. 8343 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(171,a,7807,a(flip),b,8342,a)]. 8344 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(171,a,7817,a(flip),b,8343,a(flip))]. 8346 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(171,a,7808,a(flip),b,8344,a(flip))]. 8347 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(8346(a,2),2800(a,2,1)),flip(a)]. 8348 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(2802,a,8347,a)]. 8349 L(T(x,R(y,z,u)),w,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(171,a,784,a,b,8348,a),flip(a)]. 8350 L(T(x,R(y,z,u)),w,x) = T(x,R(x * y,z,u)). [hyper(5712,a,8349,a)]. 8352 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(171,a,7863,a(flip),b,8350,a(flip)),flip(a)]. 8353 L(T(x,R(y / T(1 / (1 / z),u),w,v5)),v6,x) = T(x,R(((x \ 1) \ 1) * (y / T(z,u)),w,v5)). [para(2285(a,2),8350(a,2,2,1))]. 8354 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(8088(a,1),8352(a,1,2))]. 8355 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(171,a,8034,a,b,8354,a(flip)),flip(a)]. 8356 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(2428(a,1),8355(a,1,1))]. 8357 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(8120(a,2),8356(a,1,1))]. 8358 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(998,a,8357,a)]. 8359 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(171,a,7460,a(flip),b,8358,a(flip))]. 8360 (x * K(y,z)) * a(y,u,K(x / u,z)) = (K(y,T(z,x)) * u) * (u \ x). [para(4408(a,1),8092(a,1,2,3))]. 8361 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(7000(a,1),8276(a,2,1))]. 8362 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(171,a,8240,a(flip),b,8361,a)]. 8363 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(90(a,1),8362(a,1,2,2))]. 8364 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(5378(a,2),8363(a,1,2,2))]. 8365 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = K((x * y) \ w,(x \ 1) \ y). [hyper(171,a,8248,a(flip),b,8261,a)]. 8366 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = K(y \ (x \ w),1 \ (x * y)). [hyper(171,a,7059,a(flip),b,8365,a)]. 8367 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = K(y \ (x \ w),x * y). [para(50(a,1),8366(a,2,2))]. 8368 K(T(T(x * y,z),u) \ w,x * y) = K(y \ (x \ w),x * y). [hyper(8200,a,8367,a)]. 8369 K((x * y) \ z,x * y) = K(y \ (x \ z),x * y). [hyper(4844,a,8368,a)]. 8370 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(171,a,4958,a(flip),b,8319,a(flip)),flip(a)]. 8371 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2206(a,2),8370(a,2,1))]. 8372 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(171,a,63,a(flip),b,8371,a)]. 8374 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(171,a,7948,a(flip),b,8372,a(flip))]. 8375 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(8374(a,2),14(a,1,2))]. 8376 T(x,R(((x \ 1) \ 1) * (y / T(z,u)),w,v5)) = L(T(x,R(y / T(z,u),w,v5)),v6,x). [para(727(a,1),8353(a,1,1,2,1,2,1)),flip(a)]. 8377 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),v5,x). [para(6568(a,1),8376(a,2,1))]. 8378 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(171,a,8350,a(flip),b,8377,a)]. 8379 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),8378(a,2,2,1))]. 8380 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(2285(a,1),8379(a,1,2,1))]. 8381 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(171,a,8359,a(flip),b,8380,a(flip)),flip(a)]. 8382 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(7151(a,1),8381(a,1,2,1))]. 8383 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(171,a,7462,a(flip),b,8382,a(flip)),flip(a)]. 8384 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(2749(a,2),8383(a,1,2,1,2))]. 8385 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(111(a,1),8384(a,1,2,1)),flip(a)]. 8386 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(67,a,8385,a(flip),b,2793,a(flip))]. 8387 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [para(8385(a,1),2748(a,2,2)),flip(a)]. 8388 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(2847,a,8386,a),flip(a)]. 8389 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(7806,a,8388,a)]. 8390 K(x,((y * z) * u) / (y * u)) = K(T(x,y),L(z,y,u)). [hyper(4764,a,8388,a)]. 8391 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(171,a,6953,a,b,8388,a),flip(a)]. 8392 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(170(a,1),8388(a,1,2)),flip(a)]. 8393 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(430(a,1),8388(a,1,2)),flip(a)]. 8394 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(8388(a,1),331(a,1,2))]. 8395 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(8388(a,1),5519(a,1,2))]. 8396 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(171,a,6953,a,b,8389,a)]. 8397 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(8389(a,1),96(a,1,1))]. 8398 L(K(x,y / (z / u)),z / u,u) = K(x,(y * u) / z). [para(338(a,1),8391(a,2,2))]. 8399 L(K(x,y \ (z / u)),y,u) = K(x,T(z / (y * u),y)). [para(430(a,1),8391(a,2,2))]. 8401 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(3605,a,8396,a),flip(a)]. 8402 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(171,a,5214,a(flip),b,8396,a(flip))]. 8403 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(8396(a,1),118(a,1,1))]. 8404 (K(x,T(y,z)) * u) * (u \ z) = z * L(K(x,y),u,u \ z). [para(8396(a,1),4429(a,2,2))]. 8405 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(8396(a,1),8284(a,1,1))]. 8407 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(2824,a,8387,a),flip(a)]. 8408 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(97(a,1),8407(a,1,1)),flip(a)]. 8409 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(170(a,1),8407(a,1,1)),flip(a)]. 8410 K(L(x / (y / z),y / z,z),u) = K((x * z) / y,u). [para(338(a,1),8407(a,1,1)),flip(a)]. 8411 K(L((x / y) \ z,x / y,y),u) = K(T((z * y) / x,x / y),u). [para(479(a,1),8407(a,1,1)),flip(a)]. 8412 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(8407(a,1),4770(a,1))]. 8413 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(3493,a,8401,a),flip(a)]. 8414 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [para(8413(a,1),8137(a,1,1,2))]. 8415 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(8392(a,1),7047(a,2,2))]. 8416 K(x,L(y,z,L(u,K(x,y),z))) \ (z * (T(K(x,y),z) * u)) = z * L(u,K(x,y),z). [hyper(67,a,5374,a(flip),b,8397,a)]. 8417 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(171,a,4008,a(flip),b,8402,a(flip)),flip(a)]. 8419 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(4766,a,8408,a)]. 8421 K(L((x / y) / K(z,u),K(z,u),y),w) = K(x / (K(u,z) \ y),w). [para(3043(a,2),8409(a,2,1,2))]. 8422 K(x,((y * z) * u) / (y * u)) = K(x,T(L(z,y,u),y)). [hyper(171,a,3935,a(flip),b,8390,a)]. 8423 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(316(a,1),8393(a,1,2)),flip(a)]. 8424 L(K(x / y,(x / y) \ z),x / y,y) = K(x / y,(z * y) / x). [para(2630(a,1),8398(a,1,1))]. 8425 L(K(x,y \ (z / L(x,u,w))),y,L(x,u,w)) = K(x,(y * L(x,u,w)) \ z). [hyper(171,a,6214,a(flip),b,8399,a)]. 8426 (x * T(y / z,u / (y / z))) \ (x * (y / z)) = K((u * z) / y,y / z). [hyper(171,a,6244,a(flip),b,8410,a(flip)),flip(a)]. 8427 K(L(x / (y / K(L(x,z,u),w)),y / K(L(x,z,u),w),K(L(x,z,u),w)),v5) = K((L(K(w,x),z,u) \ x) / y,v5). [para(7064(a,2),8410(a,2,1,1))]. 8428 K(x,((K(y / z,z) * (K(z,y / z) * u)) * y) / (K(y / z,z) * y)) = K(x,T(((z \ y) * z) \ (y * u),K(y / z,z))). [para(3066(a,1),8422(a,2,2,1))]. 8429 K((x * y) \ z,T(u,y)) = K(T(z,x) / (y * x),u). [para(709(a,2),8419(a,2,1,1))]. 8430 K((K(x,y) * T(z,K(y,x))) \ u,T(w,T(z,K(y,x)))) = K(((K(x,y) \ u) * K(x,y)) / (K(x,y) * z),w). [para(2994(a,1),8419(a,2,1,2))]. 8431 K(T(x,y) / (L(z,u,w) * y),z) = K((y * L(z,u,w)) \ x,z). [para(196(a,1),8429(a,1,2)),flip(a)]. 8432 (x * K(y,z)) * a(y,u,K(x / u,z)) = x * L(K(y,z),u,u \ x). [hyper(171,a,8360,a,b,8404,a(flip)),flip(a)]. 8433 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(8107(a,1),8394(a,1,2))]. 8434 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(4106,a,8433,a)]. 8435 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(171,a,5882,a,b,8434,a(flip)),flip(a)]. 8436 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(67,a,8434,a(flip),b,5882,a),flip(a)]. 8438 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(3945(a,1),8435(a,1,1,1))]. 8439 ((x * y) * (x * (y * z))) \ ((x * y) * ((x * y) * z)) = a(x * (y * z),x,y). [para(703(a,1),8436(a,2,2,2)),flip(a)]. 8440 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(8138,a,8414,a),flip(a)]. 8441 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(479(a,1),8440(a,1,2,1)),flip(a)]. 8442 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6179,a,8405,a)]. 8443 K(L((x / y) \ z,x / y,y),u) = K((z * y) / x,T(u,x / y)). [hyper(171,a,3935,a(flip),b,8411,a)]. 8444 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(8206(a,1),8415(a,1,2))]. 8445 K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(z,u) \ y),w). [para(3762(a,1),8421(a,1,1,1))]. 8446 K((x / y) \ 1,(y / x) \ z) = K(y / x,(z * x) / y). [hyper(3744,a,8424,a)]. 8447 K((x / y) \ 1,(y / x) \ z) = K(x \ y,y \ (z * x)). [hyper(171,a,4457,a(flip),b,8446,a)]. 8448 K(x / y,(z * (x / y)) \ (z * u)) = K(y \ x,x \ (u * y)). [hyper(171,a,7054,a,b,8447,a(flip)),flip(a)]. 8449 K((x / y) \ 1,(x \ y) \ z) = K(x \ y,y \ (z * x)). [hyper(7166,a,8448,a)]. 8450 K(x \ y,(x * z) / y) = K(x \ y,y \ (z * x)). [hyper(171,a,7198,a(flip),b,8449,a(flip)),flip(a)]. 8451 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(171,a,7132,a,b,8442,a(flip)),flip(a)]. 8452 a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). [hyper(6470,a,8432,a)]. 8453 a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). [para(13(a,1),8452(a,1,1)),flip(a)]. 8455 a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). [para(4406(a,1),8453(a,1,3))]. 8456 K(x,(y * L(x,z,u)) \ w) = K(x,y \ (w / L(x,z,u))). [hyper(7568,a,8425,a),flip(a)]. 8458 K(T(x / (y * L(z,u,w)),y),z) = (K(z,y \ (x / L(z,u,w))) \ v5) / v5. [para(8456(a,1),6388(a,2,1,1))]. 8459 (x * T(y / z,(y / z) \ u)) \ (x * (y / z)) = K((u * z) / y,y / z). [para(909(a,1),8426(a,1,1,2))]. 8460 K(T(x / (y * L(z,u,w)),y),z) = K(y \ (x / L(z,u,w)),z). [hyper(171,a,3044,a(flip),b,8458,a)]. 8461 K(x / (y * L(z,u,w)),T(z,y)) = K(y \ (x / L(z,u,w)),z). [hyper(4584,a,8460,a)]. 8462 (x * T(y / z,(z \ y) \ u)) \ (x * (y / z)) = K((u * z) / y,y / z). [para(3996(a,1),8459(a,1,1,2))]. 8463 K(L((x \ y) \ z,y / x,u),y / x) = K((z * x) / y,y / x). [hyper(6245,a,8462,a)]. 8464 K((x \ y) \ z,(x / y) \ 1) = K((z * x) / y,y / x). [hyper(6250,a,8463,a)]. 8465 K((x \ y) \ z,(x / y) \ 1) = K(y \ (z * x),x \ y). [hyper(171,a,4443,a(flip),b,8464,a)]. 8466 K((x \ y) \ z,y / x) = K(y \ (z * x),x \ y). [hyper(3411,a,8465,a)]. 8467 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(171,a,3937,a(flip),b,8441,a)]. 8468 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(171,a,5538,a(flip),b,8467,a)]. 8469 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(4114,a,8468,a),flip(a)]. 8470 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(171,a,1458,a(flip),b,8469,a)]. 8471 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(3931(a,1),8469(a,2,2,1))]. 8472 K(x,L(y,z,L(u,K(x,y),z))) \ (z * (K(x,T(y,z)) * u)) = z * L(u,K(x,y),z). [para(3934(a,2),8416(a,1,2,2,1))]. 8473 K(L(x,y,L(z,K(u,x),y)),u) * (y * (K(u,T(x,y)) * z)) = y * L(z,K(u,x),y). [hyper(3071,a,8472,a)]. 8474 K(x,L(y,z,L(u,K(y,x),z))) * (z * (K(y,T(x,z)) * u)) = z * L(u,K(y,x),z). [para(7009(a,1),8473(a,1,1))]. 8475 (a(x,y,K(L(z,K(u,x),y),u)) * K(x,u)) * (y * (K(u,T(x,y)) * z)) = y * L(z,K(u,x),y). [para(8119(a,2),8474(a,1,1))]. 8476 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(7371(a,1),8451(a,1,1))]. 8477 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(4321(a,1),8476(a,1,1,2))]. 8478 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(8017,a,8477,a)]. 8479 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(4378(a,2),8478(a,1,2,2))]. 8480 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(6288(a,2),8479(a,1,2))]. 8481 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(4552(a,2),8480(a,1,2,2,2))]. 8482 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),8470(a,1,2,1,2))]. 8483 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(8455(a,1),8438(a,1,2))]. 8484 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(8300,a,8483,a),flip(a)]. 8485 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(3945(a,1),8484(a,1,1))]. 8486 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(5495(a,1),8485(a,1,2))]. 8487 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(298,a,8486,a),flip(a)]. 8488 L((x / K(y,z)) / u,u,K(y,z)) = x / (u * K(y,z)). [hyper(171,a,170,a(flip),b,8487,a(flip))]. 8490 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(3895(a,2),8481(a,1,2,2))]. 8491 (a(x,y,K(z,u)) * K(x,u)) * (y * (K(u,T(x,y)) * z)) = y * L(z,K(u,x),y). [para(4735(a,1),8475(a,1,1,1,3))]. 8493 K(x,L(y,z,u)) * (z * (K(y,T(x,z)) * u)) = z * L(u,K(y,x),z). [para(8119(a,1),8491(a,1,1))]. 8494 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(727(a,1),8233(a,1,2,2))]. 8496 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(954(a,1),8494(a,1,2)),flip(a)]. 8497 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(171,a,5943,a(flip),b,8496,a)]. 8499 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(8497(a,1),7904(a,2,2))]. 8500 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(171,a,3043,a(flip),b,8499,a)]. 8501 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [hyper(171,a,2018,a(flip),b,8500,a)]. 8502 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(8157(a,1),8320(a,1,1,1,2))]. 8503 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(4668(a,1),8502(a,1,1,1,2))]. 8504 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(3141(a,1),8503(a,1,1,1)),flip(a)]. 8505 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2206(a,2),8504(a,1,2,2,1))]. 8506 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(63(a,1),8505(a,1,2,2))]. 8508 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(8375(a,1),8506(a,1,2))]. 8509 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(8508(a,2),60(a,1,2))]. 8510 K(x,L(a(y,z,u),L(u,z,y),y * z)) = K(x,a(y * (z * u),y,z)). [para(8439(a,1),8293(a,1,2)),flip(a)]. 8511 K(x,L(a(y,z,u),L(u,z,y),y * z)) = a(x,y,K(z,y * (z * u))). [hyper(171,a,8111,a,b,8510,a)]. 8512 a(x,y,K(z,L(u,L(z,y,u),u * y))) = a(x,u,K(y,u * (y * z))). [hyper(171,a,8251,a,b,8511,a(flip)),flip(a)]. 8513 a(x,y,K(z,L(u,z,y))) = a(x,u,K(y,u * (y * z))). [para(8295(a,1),8512(a,1,3))]. 8514 a(x,y,K(z,y * (z * u))) = a(x,z,K(u,y)). [para(6234(a,1),8513(a,1,3)),flip(a)]. 8516 K((x * K(y,z)) \ u,T(w,T(x,K(z,y)))) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). [para(4327(a,1),8430(a,1,1,1))]. 8517 x * (((K(y,z) * u) * x) \ (K(y,z) * (u * x))) = (K(y,z) * u) \ (K(y,z) * (u * x)). [para(8153(a,1),8303(a,1,1)),flip(a)]. 8518 x * (((K(y,z) * u) * x) \ (K(y,z) * (u * x))) = L(x,u,K(y,z)). [hyper(171,a,28,a,b,8517,a)]. 8520 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [para(8301(a,1),8518(a,1,2))]. 8521 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(8152,a,8520,a),flip(a)]. 8522 K(L(x / (y * K(z,L(x,u,w))),y / K(L(x,u,w),z),K(L(x,u,w),z)),v5) = K((L(K(z,x),u,w) \ x) / y,v5). [para(3762(a,1),8427(a,1,1,1,2))]. 8523 K(L(x / (y * L(K(z,x),u,w)),y / K(L(x,u,w),z),K(L(x,u,w),z)),v5) = K((L(K(z,x),u,w) \ x) / y,v5). [para(6953(a,2),8522(a,1,1,1,2,2))]. 8524 T(1 / x,x \ y) * L(T(1 / x,x \ y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). [para(8245(a,1),8246(a,1,2,1,1))]. 8525 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),x \ u). [hyper(1947,a,8524,a),flip(a)]. 8526 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L(x,y,z),x \ u). [para(63(a,1),8525(a,2,1,2,1))]. 8527 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(1693(a,1),8526(a,2,1))]. 8528 T((1 / x) * L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(63(a,1),8527(a,1,1,2,1))]. 8529 T(x \ L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(1693(a,1),8528(a,1,1))]. 8530 T(x \ L(x,y,z),x \ u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [hyper(171,a,7521,a(flip),b,8529,a(flip))]. 8531 T(x \ L(x,y,z),x \ u) = T((1 / x) * L(x,y,z),u). [para(63(a,1),8530(a,2,1,2,1))]. 8532 T(x \ L(x,y,z),x \ u) = T(x \ L(x,y,z),u). [para(1693(a,1),8531(a,2,1))]. 8533 T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u). [para(13(a,1),8532(a,1,2)),flip(a)]. 8534 (x \ L(x,y,z)) \ T(x \ L(x,y,z),u) = K(x \ L(x,y,z),x * u). [hyper(67,a,8533,a(flip),b,2793,a(flip))]. 8535 K(x \ L(x,y,z),x * u) = K(x \ L(x,y,z),u). [hyper(2847,a,8534,a),flip(a)]. 8536 K(x * y,x \ L(x,z,u)) = K(x \ L(x,z,u),y) \ 1. [para(8535(a,1),2978(a,1,1)),flip(a)]. 8537 K(x * y,x \ L(x,z,u)) = K(y,x \ L(x,z,u)). [hyper(171,a,2978,a(flip),b,8536,a)]. 8539 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(16(a,1),8471(a,1,2,1,2))]. 8540 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(3280(a,2),8490(a,1,2))]. 8541 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(4321(a,1),8540(a,1,2,1,2))]. 8542 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(T(y,K(v5,w) * (x * K(z,u))),u). [para(8540(a,1),4791(a,1,1)),flip(a)]. 8543 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(4321(a,1),8541(a,1,2))]. 8544 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(171,a,8540,a(flip),b,8543,a(flip))]. 8545 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [para(8543(a,1),14(a,1,2)),flip(a)]. 8546 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(67,a,8544,a,b,2793,a(flip))]. 8547 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(2847,a,8546,a)]. 8549 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(8546(a,1),2847(a,1))]. 8550 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [para(2913(a,2),8547(a,1,2,1))]. 8551 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(3043(a,2),8547(a,1,2))]. 8552 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(3052(a,1),8547(a,1,2)),flip(a)]. 8553 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(4025(a,1),8547(a,1,2)),flip(a)]. 8554 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(171,a,8547,a,b,8550,a(flip)),flip(a)]. 8555 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(2935(a,1),8550(a,1,2)),flip(a)]. 8556 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(8550(a,1),6408(a,1,1))]. 8557 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(3381(a,2),8552(a,1,2))]. 8558 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(3879(a,1),8554(a,1,2,1)),flip(a)]. 8559 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(4619,a,8557,a),flip(a)]. 8560 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [para(702(a,1),8557(a,1,2,1)),flip(a)]. 8561 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(16(a,1),8560(a,1,2,1,1)),flip(a)]. 8562 K(x,((y \ z) * y) \ u) = K(x,(y * (z / y)) \ u). [hyper(171,a,1458,a,b,8561,a),flip(a)]. 8563 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(2913(a,2),8549(a,1,2,1))]. 8564 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [para(3013(a,1),8558(a,1,2,1)),flip(a)]. 8565 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(171,a,8552,a(flip),b,8564,a(flip)),flip(a)]. 8566 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(4025(a,1),8564(a,1,2))]. 8567 K(x,(y * (z / y)) \ u) \ 1 = K(((y \ z) * y) \ u,x). [para(8562(a,1),2978(a,1,1))]. 8568 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(3052(a,1),8565(a,2,2))]. 8569 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(2880(a,1),8555(a,1,2,2)),flip(a)]. 8570 K(((x \ y) * x) \ z,u) = K((x * (y / x)) \ z,u). [hyper(2983,a,8567,a),flip(a)]. 8571 K((x * (y / x)) \ z,u) = K(T(y,x) \ z,u). [hyper(171,a,1060,a(flip),b,8570,a(flip))]. 8572 K(K(x,y) \ (x \ z),u) = K((y * (x / y)) \ z,u). [para(2941(a,2),8571(a,2,1)),flip(a)]. 8573 K((x * (y / x)) \ z,y) != u | K(y \ z,y) = u. [para(8572(a,1),3932(a,1))]. 8574 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(4952(a,1),8559(a,1,2,2))]. 8575 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(8574(a,1),4619(a,1))]. 8576 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(171,a,8553,a(flip),b,8566,a)]. 8577 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(6487(a,1),8576(a,1,2))]. 8578 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(171,a,8539,a(flip),b,8577,a(flip)),flip(a)]. 8579 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(3603(a,1),8577(a,1,2,2,2)),flip(a)]. 8580 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(6386,a,8556,a),flip(a)]. 8581 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(3463(a,1),8580(a,1,2,1))]. 8582 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(171,a,8581,a(flip),b,8578,a(flip)),flip(a)]. 8583 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(171,a,5873,a(flip),b,8582,a(flip)),flip(a)]. 8584 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(2793(a,2),8583(a,1,2,1))]. 8585 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(899(a,1),8584(a,1,2,1))]. 8586 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(100(a,1),8585(a,1,2,2,1))]. 8587 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(100(a,1),8586(a,1,2,2,2,2))]. 8588 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(4950(a,1),8587(a,2,2))]. 8590 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(v5,w) * x)). [hyper(171,a,6570,a(flip),b,8542,a)]. 8592 K(x \ T(y * T(x * K(z,u),K(w,v5)),K(w,v5)),u) = K(y,T(u,K(w,v5) * x)). [para(8544(a,1),8590(a,2,2))]. 8593 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(4412(a,1),8569(a,2,2,1))]. 8594 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(4386(a,1),8593(a,2,2))]. 8595 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(2880(a,1),8594(a,1,2,2,1,2))]. 8596 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(2933(a,1),8595(a,1,2))]. 8597 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(8596(a,1),2979(a,1,2)),flip(a)]. 8598 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(171,a,2979,a(flip),b,8597,a)]. 8599 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(5127,a,8598,a),flip(a)]. 8600 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(5576,a,8599,a)]. 8601 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(5799,a,8600,a)]. 8602 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(171,a,5623,a(flip),b,8601,a),flip(a)]. 8603 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(982(a,1),8602(a,1,1))]. 8604 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(4541,a,8603,a),flip(a)]. 8605 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(171,a,5464,a,b,8604,a(flip)),flip(a)]. 8606 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(3343,a,8605,a),flip(a)]. 8607 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(3347,a,8606,a),flip(a)]. 8608 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(2817(a,1),8607(a,1,1,2)),flip(a)]. 8609 K(x \ T(y \ z,y),u) = K(x \ (z / y),u). [para(2806(a,1),8607(a,1,1,2)),flip(a)]. 8610 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(8608(a,1),2979(a,1,2)),flip(a)]. 8611 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(171,a,2979,a(flip),b,8610,a)]. 8612 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(953(a,1),8611(a,1,2,2,1))]. 8613 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(1002(a,1),8611(a,1,2,2,1))]. 8614 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(4206(a,1),8612(a,1,2,2))]. 8615 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(171,a,1457,a(flip),b,8613,a(flip)),flip(a)]. 8616 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(811(a,1),8615(a,1,2,2)),flip(a)]. 8617 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(171,a,8588,a(flip),b,8616,a(flip))]. 8618 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(3577(a,1),8617(a,1,2,2,2))]. 8619 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(723(a,1),8579(a,2,2,2,2,1))]. 8620 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(4953(a,1),8619(a,1,2))]. 8621 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(5303(a,1),8620(a,1,2)),flip(a)]. 8622 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(171,a,4424,a(flip),b,8621,a)]. 8624 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(171,a,8482,a(flip),b,8622,a(flip)),flip(a)]. 8625 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(838(a,1),8624(a,1,2,2,1))]. 8626 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(1153(a,1),8625(a,1,2,1))]. 8627 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(838(a,1),8626(a,1,2,2,2,2))]. 8628 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(171,a,8568,a(flip),b,8627,a(flip)),flip(a)]. 8629 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(1153(a,1),8628(a,2,2))]. 8630 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(171,a,8616,a(flip),b,8629,a(flip)),flip(a)]. 8631 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(171,a,1460,a(flip),b,8618,a(flip)),flip(a)]. 8632 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(3244(a,1),8631(a,1,2,2,2,2))]. 8633 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(2793(a,2),8632(a,1,2,2,2))]. 8634 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(4850,a,8633,a)]. 8635 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(171,a,8560,a(flip),b,8634,a(flip))]. 8636 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(4212(a,1),8635(a,1,2))]. 8637 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(4778,a,8636,a),flip(a)]. 8638 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(2934(a,1),8637(a,1,2,1)),flip(a)]. 8639 K(x \ y,y \ (x * z)) \ K(K(x \ y,y \ (x * z)),T(y,u)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(6205(a,1),8268(a,1,2,1))]. 8640 K(x,T(((y \ z) * y) \ (z * u),K(z / y,y))) = K(x,(u * z) / (K(z / y,y) * z)). [para(3048(a,1),8428(a,1,2,1,1)),flip(a)]. 8641 K(x,T(((y \ z) * y) \ (z * u),K(z / y,y))) = K(x,(u * z) / ((y \ z) * y)). [para(3015(a,1),8640(a,2,2,2))]. 8642 K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(1131(a,1),8501(a,1,2,2,2))]. 8644 K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(3043(a,1),8642(a,1,2,2))]. 8645 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(5761(a,1),8644(a,1,2,2)),flip(a)]. 8646 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(171,a,8252,a(flip),b,8645,a)]. 8648 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(120(a,1),8646(a,2,2))]. 8649 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(4951(a,1),8638(a,2,2,2))]. 8650 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(4679(a,1),8649(a,2,2,2))]. 8651 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(171,a,8614,a(flip),b,8650,a)]. 8652 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(3244(a,1),8651(a,2,2,1,2))]. 8653 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(2793(a,2),8652(a,2,2,1))]. 8654 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(171,a,8630,a(flip),b,8653,a)]. 8655 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),8654(a,1,2,1,2))]. 8656 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(786(a,1),8655(a,1,2,2))]. 8657 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(705(a,1),8656(a,1,2,2)),flip(a)]. 8658 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),8657(a,1,2,1)),flip(a)]. 8659 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(63(a,1),8657(a,1,2,2)),flip(a)]. 8660 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),8658(a,1,2,1)),flip(a)]. 8663 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8660(a,1),4778(a,1))]. 8665 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(805(a,1),8659(a,1,2,2))]. 8666 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(8663,a,8665,a)]. 8667 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(8666(a,1),5975(a,1,1))]. 8668 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(5852,a,8667,a)]. 8669 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(4380,a,8668,a)]. 8671 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(171,a,4262,a,b,8668,a)]. 8672 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(171,a,4258,a,b,8668,a)]. 8673 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(8668(a,2),4297(a,1))]. 8678 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(3956(a,1),8669(a,1,2)),flip(a)]. 8679 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(4400(a,1),8669(a,1,2))]. 8681 K(K(x,y),T(z,u)) = K(x,K(y,z)). [hyper(4238,a,8671,a)]. 8683 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(171,a,4383,a(flip),b,8671,a(flip)),flip(a)]. 8684 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(8671(a,1),4011(a,1,2)),flip(a)]. 8687 K(x,y / T(z,u)) \ K(x,K(y,z)) = K(T(z,u) \ y,x). [para(8671(a,1),4632(a,1,2))]. 8688 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(4469(a,1),8671(a,1,2))]. 8690 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(709(a,1),8672(a,1,2,2))]. 8691 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(3960(a,1),8672(a,1,2))]. 8692 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [para(8681(a,1),5013(a,1,1))]. 8693 K(x \ y,y \ (x * z)) \ K(x \ y,K(y \ (x * z),y)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(8681(a,1),8639(a,1,2))]. 8694 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(4533,a,8678,a)]. 8695 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(171,a,7092,a,b,8678,a),flip(a)]. 8696 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(171,a,7067,a,b,8678,a),flip(a)]. 8698 K(x,K(y,z \ u)) \ (u / z) = T(u / z,K(x,y)). [para(8678(a,1),4246(a,1,1))]. 8699 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(8104(a,2),8678(a,2,2)),flip(a)]. 8701 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(8679(a,1),4272(a,1))]. 8702 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(4965,a,8684,a),flip(a)]. 8703 T(x,K(y,K(z,u))) = x. [hyper(4333,a,8684,a)]. 8704 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(4303,a,8684,a)]. 8705 x / K(y,K(z,u)) = K(y,K(z,u)) \ x. [hyper(400,a,8684,a)]. 8706 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(171,a,7005,a(flip),b,8684,a)]. 8708 T(x,T(y,K(z,u))) = T(x,y). [hyper(17,a,4346,a(flip),b,8684,a)]. 8709 L(x \ y,x,K(z,K(u,w))) = (x * K(z,K(u,w))) \ (K(z,K(u,w)) * y). [para(8684(a,1),91(a,2,1))]. 8710 L((K(x,K(y,z)) \ u) / w,w,K(x,K(y,z))) = (w * ((w * K(x,K(y,z))) \ u)) / w. [para(8684(a,1),521(a,2,1,2,1))]. 8712 K(x,T(y,K(z,u))) = K(x,y). [hyper(7269,a,8703,a)]. 8713 K(x,K(y,K(z,u))) = 1. [hyper(36,a,8703,a)]. 8714 T(x,K(y,z) * u) = T(x,u * K(y,z)). [para(8703(a,1),4163(a,1,1))]. 8715 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(8703(a,1),8540(a,1,2,1,2))]. 8719 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(8708(a,1),1164(a,1))]. 8720 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(4036(a,1),8708(a,1,2))]. 8722 T(x,K(y,z) \ u) = T(x,u * K(z,y)). [para(4478(a,1),8708(a,1,2)),flip(a)]. 8723 T(x,T(y,z / u)) = T(x,T(y,u \ z)). [para(4344(a,1),8708(a,1,2)),flip(a)]. 8724 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(8708(a,1),5011(a,2,2))]. 8726 K((x * K(y,z)) \ u,T(w,x)) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). [para(8708(a,1),8516(a,1,2))]. 8727 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(4773,a,8712,a),flip(a)]. 8729 K(T(x,K(y,z)),u) = K(x,u). [hyper(4755,a,8712,a),flip(a)]. 8730 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(4753,a,8712,a)]. 8734 K(x,(y * z) / ((u \ z) * u)) = K(x,((u \ z) * u) \ (z * y)). [hyper(171,a,8641,a(flip),b,8712,a(flip)),flip(a)]. 8735 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(171,a,8419,a(flip),b,8712,a(flip)),flip(a)]. 8738 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(8712(a,1),3945(a,1,2))]. 8739 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(4036(a,1),8712(a,1,2))]. 8741 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(4344(a,1),8712(a,1,2)),flip(a)]. 8745 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(8712(a,1),4750(a,1))]. 8748 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8712(a,1),8007(a,1,1))]. 8750 K(K(x,y) \ z,u) = K(z * K(y,x),u). [para(4478(a,1),8729(a,1,1)),flip(a)]. 8753 T(x / T(y,T(z,u)),T(y,z)) = T(y,T(z,u)) \ x. [hyper(260,a,8720,a),flip(a)]. 8754 T(T(x,T(T(y,z),u)),T(z,y)) = T(x,T(T(y,z),u)) * K(x,z). [hyper(171,a,4495,a(flip),b,8720,a(flip))]. 8755 T(x,T(y,z * u)) = T(x,T(y,u * z)). [para(705(a,1),8720(a,1,2,2))]. 8757 K(T(x,y) / z,T(u,x)) = K(z \ T(x,y),u). [hyper(4757,a,8739,a),flip(a)]. 8758 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). [hyper(4756,a,8739,a),flip(a)]. 8761 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(705(a,1),8739(a,1,2,2))]. 8762 K(x,T(y,z)) \ (x * T(y,T(z,u))) = T(y,T(z,u)) * x. [para(8739(a,1),2890(a,1,1))]. 8765 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(3497(a,1),8745(a,1,2,2))]. 8768 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(4036(a,1),8745(a,1,2))]. 8769 K(x,y * K(z,u)) != w | K(x,K(u,z) \ y) = w. [para(4478(a,1),8745(a,1,2))]. 8770 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(171,a,6870,a(flip),b,8690,a(flip)),flip(a)]. 8771 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(8691(a,2),4305(a,1))]. 8772 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),8694(a,2,2,2))]. 8773 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(8694(a,1),4533(a,1))]. 8774 K(x,K(y,z)) \ (u * z) = u * T(z,K(x,y)). [hyper(171,a,4289,a(flip),b,8704,a)]. 8775 ((K(x,K(y,z)) \ u) * w) / (K(x,K(y,z)) * w) = R(u,T(K(x,K(y,z)),w),T(w,K(x,K(y,z)))). [para(8704(a,2),4035(a,1,1,1))]. 8776 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(8714(a,1),8545(a,2,2))]. 8777 K(x / (y * K(z,u)),T(w,K(u,z) \ y)) = K((y * K(z,u)) \ x,w). [para(8722(a,2),3960(a,1,2))]. 8778 K(x,K(y,z) \ u) = K(x,u * K(y,z)). [hyper(171,a,8551,a,b,8727,a(flip)),flip(a)]. 8779 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(6959(a,1),8727(a,2,2))]. 8780 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(171,a,8423,a,b,8730,a),flip(a)]. 8783 L(x \ K(y,z),x,K(u,w)) = (K(u,w) * x) \ (K(y,z) * K(u,w)). [para(8738(a,1),91(a,2,2))]. 8785 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(171,a,8417,a,b,8741,a),flip(a)]. 8786 K(L((x / y) \ z,x / y,y),u) = K((z * y) / x,T(u,y \ x)). [hyper(171,a,8443,a,b,8741,a(flip)),flip(a)]. 8787 K((x / y) * T(y,z),u) = K(K(z,y) \ x,u). [para(3747(a,2),8750(a,2,1)),flip(a)]. 8790 T(x,y) \ T(T(x,z * u),T(y,u * z)) = K(x,z * u). [para(8755(a,1),4496(a,1,2))]. 8791 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [hyper(5648,a,8761,a),flip(a)]. 8792 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(705(a,1),8673(a,1,2,2))]. 8793 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(3935(a,2),8673(a,1,2))]. 8794 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(3954(a,1),8673(a,1,2))]. 8795 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(705(a,1),8768(a,1,2,2))]. 8797 K(x / (y * L(z,u,w)),T(z,y)) != v5 | K((y * L(z,u,w)) \ x,z) = v5. [para(8791(a,1),4749(a,1))]. 8799 T(K(x,y),T(z,u)) = T(K(x,y),z). [hyper(138,a,8724,a(flip),b,2946,a(flip))]. 8801 T(K(x,y),T(z,u)) = T(K(x,y),T(z,w)). [hyper(171,a,8799,a,b,8799,a)]. 8815 T(K(x,y) * z,u) * T(K(y,x),T(w,v5)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(8801(a,1),5946(a,1,2))]. 8817 K(x,K(y,z) \ u) != w | K(x,K(z,y) \ u) = w. [para(8778(a,2),8769(a,1))]. 8818 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(8104(a,2),8773(a,1,2))]. 8819 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(96(a,1),8792(a,1,2,2))]. 8823 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(8196(a,2),8795(a,1,2))]. 8825 K(x,K(y,z) * u) != w | K(x,K(y,z) \ u) = w. [para(3043(a,1),8817(a,1,2))]. 8826 K(x,L(K(y,z),u,w) \ v5) != v6 | K(x,K(L(z,u,w),y) \ v5) = v6. [para(6953(a,2),8817(a,1,2,1))]. 8827 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [para(3934(a,2),8692(a,2,2))]. 8828 K(x,K(y,K(z \ u,u \ (z * w)))) \ ((z * (((z \ u) \ w) \ w)) / u) = T((z * (((z \ u) \ w) \ w)) / u,K(x,y)). [para(6205(a,1),8698(a,1,1,2,2))]. 8829 (x / T(y,T(z,u))) * T(y,z) = T(y,z) * (T(y,T(z,u)) \ x). [para(8753(a,1),100(a,1,2)),flip(a)]. 8830 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(8827(a,2),19(a,1))]. 8831 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(8679(a,1),8818(a,1))]. 8832 K(x,(T(y,z) / z) / T(u,w)) \ K(x,K(z \ y,u)) = K(T(u,w) \ (T(y,z) / z),x). [para(1052(a,1),8687(a,1,2,2))]. 8833 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(8703(a,1),8715(a,1,2)),flip(a)]. 8834 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(171,a,32,a,b,8833,a)]. 8836 T(x,y * K(z,K(u,w))) = T(x,y). [para(4466(a,1),8834(a,1,2)),flip(a)]. 8837 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [para(8834(a,1),8546(a,1,2)),flip(a)]. 8839 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(8836(a,1),2748(a,2,2))]. 8841 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(171,a,2752,a,b,8837,a)]. 8842 K(x,K(y,K(z,u)) \ w) = K(x,w). [hyper(8825,a,8841,a)]. 8843 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(171,a,8552,a(flip),b,8841,a(flip)),flip(a)]. 8844 K(x,T(y,K(z,u)) * w) = K(x,y * w). [para(2808(a,1),8841(a,1,2))]. 8845 K(x,(K(y,z) * (u / K(y,z))) \ w) = K(x,u \ w). [para(5095(a,1),8841(a,1,2))]. 8846 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(171,a,2748,a,b,8839,a)]. 8847 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(8839(a,2),2824(a,1))]. 8848 K(x * T(y,K(z,u)),w) = K(x * y,w). [para(1506(a,1),8846(a,1,1))]. 8849 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(1503(a,1),8846(a,1,1))]. 8850 K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). [para(8846(a,1),2800(a,2,1)),flip(a)]. 8851 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(3752(a,1),8846(a,1,1)),flip(a)]. 8852 K(K(x,K(y,z)) * u,w) = K(u,w). [para(3849(a,1),8846(a,1,1))]. 8853 K(K(x,K(y,z)) \ u,w) = K(u,w). [para(8704(a,2),8846(a,1,1))]. 8854 K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). [para(4913(a,1),8852(a,1,1))]. 8855 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(6627(a,1),8852(a,1,1))]. 8856 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,(v5 * L(K(y,z),u,w)) \ v6). [para(7130(a,1),8843(a,1,2,1)),flip(a)]. 8857 K(x * T(y,T(z,u)),w) = K(x * T(y,z),w). [para(4036(a,1),8848(a,1,1,2))]. 8858 K(x \ (y * T(x * K(z,u),K(w,v5))),u) = K(y,T(u,K(w,v5) * x)). [hyper(171,a,8592,a(flip),b,8849,a(flip))]. 8859 K(x \ (T(y,z) * T(u,y)),w) = K(x \ (u * T(y,z)),w). [para(4569(a,1),8849(a,1,1,2))]. 8860 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(171,a,8419,a,b,8851,a),flip(a)]. 8861 K(x / (K(y,z) \ u),w) = K(x / (u * K(z,y)),w). [para(4478(a,1),8851(a,1,1,2)),flip(a)]. 8862 K(T(x,K(y,z)) / u,w) != v5 | K(x / u,w) = v5. [para(1512(a,1),8847(a,1,1))]. 8863 K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. [para(4307(a,1),8847(a,1,1))]. 8864 K(K(x,K(y,z)) \ u,w) != v5 | K(u,w) = v5. [para(8704(a,2),8847(a,1,1))]. 8865 K(((T(x,T(y,z)) / u) / T(x,T(y,z))) * T(T(x,T(y,z)),u \ 1),w) = K(T(x,y) * ((T(x,T(y,z)) / u) / T(x,T(y,z))),w). [para(3004(a,2),8854(a,1,1))]. 8866 K(T(x,T(y,z)) / u,w) != v5 | K(T(x,y) / u,w) = v5. [para(4036(a,1),8862(a,1,1,1))]. 8867 K(x / (y * K(z,u)),w) != v5 | K(x / (K(u,z) \ y),w) = v5. [para(4478(a,1),8863(a,1,1,2))]. 8868 K(x,T(y,z)) \ (T(x,T(z,u)) * y) = y * T(x,T(z,u)). [hyper(67,a,8762,a(flip),b,3968,a(flip))]. 8870 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(8776(a,1),4323(a,1,1))]. 8871 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(171,a,1446,a(flip),b,8780,a)]. 8872 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(4617,a,8871,a)]. 8874 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(2977,a,8850,a),flip(a)]. 8875 T(x,y) * K(z,K(u,x)) = T(T(x,K(z,u)),y). [para(4270(a,1),8874(a,1,1)),flip(a)]. 8876 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(8874(a,2),4288(a,1,1))]. 8877 K(x \ (T(y,z) * T(u,y)),w) = K(x \ (u * T(y,y \ z)),w). [para(786(a,1),8859(a,1,1,2,1))]. 8878 T(x * T(y,z),y * x) = x * T(y,T(z,x)). [hyper(171,a,6678,a(flip),b,8868,a(flip)),flip(a)]. 8879 (x * y) / (y * T(x,T(z,y))) = (y * T(x,z)) \ (x * y). [para(8878(a,1),800(a,1,2))]. 8880 (x * T(y,z)) \ (y * x) = K(x,y) \ K(z,y). [hyper(171,a,8209,a(flip),b,8879,a(flip))]. 8881 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = K(L(y,z,u),x) \ K(y,x). [hyper(171,a,7931,a,b,8880,a(flip)),flip(a)]. 8882 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(171,a,8678,a,b,8688,a)]. 8883 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(8563,a,8779,a)]. 8884 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),8882(a,1,2,2,1)),flip(a)]. 8885 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(4470(a,2),8882(a,1,2))]. 8887 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(3506(a,1),8683(a,2,2))]. 8888 K(x,1 / L(K(y,z),u,w)) != v5 | K(x,L(K(y,z),u,w)) = v5. [para(8887(a,1),3125(a,1))]. 8889 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(8888,a,8887,a(flip)),flip(a)]. 8890 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(8889(a,2),7029(a,1))]. 8892 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),8735(a,1,1,1,1))]. 8893 T(T(x,T(y,z)),T(T(z,y),u)) = T(x,T(T(z,y),u)) * K(x,y). [hyper(287,a,8754,a)]. 8895 (x / T(y,T(z,u))) * T(y,z) = K(y,K(z,u)) \ x. [hyper(171,a,5767,a(flip),b,8829,a)]. 8896 K(T(x,y) * (z / T(x,T(y,u))),w) = K(K(x,K(y,u)) \ z,T(w,x)). [para(8895(a,1),8758(a,1,1)),flip(a)]. 8897 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(8702(a,1),8876(a,1,1,1))]. 8898 K(x \ (y * T(z,z \ u)),w) = K(x \ (y * T(z,u)),w). [hyper(171,a,8859,a(flip),b,8877,a(flip))]. 8899 T(T(x,T(y,z)),T(T(z,y),u)) = K(x,T(T(z,y),u)) * T(x,y). [hyper(171,a,2954,a,b,8893,a)]. 8900 T(T(x,T(y,z)),T(T(z,y),u)) = T(T(x,y),T(z,u)). [hyper(171,a,4071,a(flip),b,8899,a)]. 8901 T(x,T(y,z)) * K(x,T(z,u)) = T(T(x,y),T(z,u)). [hyper(171,a,4494,a(flip),b,8900,a(flip)),flip(a)]. 8902 K(T(x,y),z) \ T(z,T(y,u)) = T(T(z,x),T(y,u)). [hyper(3162,a,8901,a)]. 8903 K(x,T(y,z)) \ T(y,T(z,u)) = T(T(y,x),T(z,u)). [para(3935(a,1),8902(a,1,1))]. 8904 K((K(x,T(y,z)) * u) \ T(y,T(z,w)),T(v5,u)) = K((T(T(y,x),T(z,w)) * K(x,T(y,z))) / (u * K(x,T(y,z))),v5). [para(8903(a,1),8419(a,2,1,1,1))]. 8905 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(171,a,4353,a(flip),b,8696,a)]. 8906 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(8771,a,8905,a)]. 8907 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),8906(a,1,2,1,1))]. 8908 (K(x,y) * (1 / T(z,u))) \ (K(u,z) * K(x,y)) = L(z,1 / T(z,u),K(x,y)). [para(2754(a,1),8783(a,1,1)),flip(a)]. 8909 K((x * (y / x)) \ (x * z),u) = K((z * x) / y,T(u,x \ y)). [para(91(a,1),8786(a,1,1))]. 8910 K((x * (y / x)) \ (x * z),y) = K(y \ (z * x),T(y,x \ y)). [hyper(171,a,4023,a(flip),b,8909,a)]. 8911 K((x * (y / x)) \ (x * z),y) = K(y \ (z * x),T(y,x)). [hyper(171,a,4473,a(flip),b,8910,a)]. 8912 K(x \ (y * z),T(x,z)) = K(x \ (z * y),x). [hyper(8573,a,8911,a),flip(a)]. 8913 K((x \ y) \ (z * y),y / x) = K((x \ y) \ (y * z),x \ y). [hyper(4753,a,8912,a)]. 8914 K((x \ y) \ (z * y),y / x) = K(x * z,x \ y). [hyper(171,a,7583,a(flip),b,8913,a)]. 8915 K(x \ ((y * x) * z),z \ x) = K(z * y,z \ x). [hyper(171,a,8466,a(flip),b,8914,a(flip)),flip(a)]. 8916 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(171,a,8779,a(flip),b,8883,a(flip))]. 8917 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(171,a,6518,a,b,8916,a(flip)),flip(a)]. 8918 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(2793(a,2),8917(a,2,2,2))]. 8919 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(171,a,8103,a(flip),b,8918,a(flip)),flip(a)]. 8920 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(8575,a,8919,a)]. 8921 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(8214,a,8920,a),flip(a)]. 8922 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(3320,a,8921,a)]. 8923 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(8922(a,1),2800(a,2,1))]. 8924 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(171,a,2800,a,b,8923,a)]. 8925 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). [hyper(171,a,8541,a,b,8924,a(flip)),flip(a)]. 8926 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(100(a,1),8748(a,1,2,1,1,1))]. 8928 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(8926(a,1),2861(a,1,2)),flip(a)]. 8930 K(x * K(y * K(z,u),K(w,v5)),T(u,y)) = K(x,T(u,K(w,v5) * y)). [hyper(171,a,5755,a(flip),b,8858,a(flip)),flip(a)]. 8931 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K((x * L(K(z,u),w,v5)) \ y,v8). [hyper(8765,a,8860,a),flip(a)]. 8933 K(T(x,y) * (z / T(x,T(y,u))),w) = K(z,T(w,x)). [hyper(171,a,8853,a(flip),b,8896,a)]. 8936 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(8847,a,8930,a),flip(a)]. 8938 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(8795,a,8936,a)]. 8941 K(x,T(y,K(z,u) * w)) * w = w * K(x,y). [para(8936(a,2),4386(a,1,1))]. 8943 K(x,T(y * (K(z,u) * w),w)) != v5 | K(x,(K(z,u) * w) * y) = v5. [para(8936(a,1),4752(a,1))]. 8949 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [para(16(a,1),8938(a,1,2,2)),flip(a)]. 8951 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(4096(a,1),8938(a,1,2,2))]. 8952 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(8938(a,1),4386(a,1,1))]. 8956 K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. [para(8938(a,1),8412(a,1))]. 8957 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(4776,a,8949,a)]. 8958 T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). [para(8949(a,1),2793(a,2,2))]. 8959 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(8957(a,1),4386(a,1,1))]. 8960 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [hyper(171,a,2793,a,b,8958,a)]. 8961 T(x,T(y,K(z,u) \ w)) = T(x,T(y,w)). [hyper(171,a,8723,a(flip),b,8960,a(flip)),flip(a)]. 8962 T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). [para(13(a,1),8961(a,1,2,2)),flip(a)]. 8963 T(x,T(y,a(z,u,K(w,v5)) * v6)) = T(x,T(y,v6)). [para(7011(a,1),8962(a,1,2,2,1))]. 8964 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(171,a,4240,a,b,8951,a(flip)),flip(a)]. 8966 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(138,a,8952,a(flip),b,6325,a),flip(a)]. 8968 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(1428(a,1),8952(a,1,1))]. 8969 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(171,a,8180,a(flip),b,8959,a(flip)),flip(a)]. 8970 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(171,a,8235,a,b,8969,a(flip)),flip(a)]. 8971 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(4286,a,8966,a),flip(a)]. 8972 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(18,a,4283,a,b,8966,a),flip(a)]. 8976 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(4534,a,8972,a)]. 8977 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(3706(a,1),8972(a,1,2,2))]. 8978 K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). [para(3740(a,1),8972(a,1,2,2))]. 8979 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(4090(a,2),8972(a,1,2,2))]. 8980 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(4096(a,1),8972(a,1,2,2))]. 8981 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(4097(a,2),8972(a,1,2,2))]. 8982 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(5306(a,1),8972(a,1,2,2)),flip(a)]. 8983 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(6273(a,1),8972(a,1,2,2))]. 8984 K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). [para(6959(a,1),8972(a,1,2,2))]. 8985 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(171,a,4274,a,b,8976,a)]. 8987 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(7084,a,8985,a)]. 8988 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(4485,a,8985,a),flip(a)]. 8989 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(4305,a,8985,a)]. 8990 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(8985(a,1),4485(a,1))]. 8991 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(7018,a,8988,a)]. 8992 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1512(a,1),8988(a,1,2,1))]. 8994 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(171,a,8988,a,b,8989,a)]. 8995 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(171,a,8907,a(flip),b,8992,a(flip))]. 8997 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(5091,a,8971,a),flip(a)]. 9001 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(8980(a,2),7007(a,1,1))]. 9003 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(84(a,1),8982(a,1,2,2,1))]. 9004 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1512(a,1),8982(a,1,2,2,1))]. 9005 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(2764(a,2),8982(a,1,2,2,1))]. 9006 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(3250(a,1),8982(a,1,2,2,1))]. 9007 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(4166(a,1),8982(a,1,2,2,1))]. 9008 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(8982(a,2),8792(a,1))]. 9009 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(4533,a,8983,a)]. 9010 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [hyper(171,a,8978,a,b,8984,a(flip)),flip(a)]. 9011 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(171,a,7047,a(flip),b,8994,a(flip))]. 9015 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(171,a,4339,a,b,9009,a)]. 9016 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(9009(a,1),4533(a,1))]. 9017 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(9009(a,2),4533(a,1))]. 9018 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(8818,a,9010,a)]. 9020 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(171,a,8884,a(flip),b,9015,a)]. 9021 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). [para(563(a,1),9015(a,1,2,2)),flip(a)]. 9022 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(9015(a,1),4533(a,1))]. 9023 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(171,a,7016,a,b,8987,a)]. 9025 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(3849(a,1),8991(a,1,2,2,1))]. 9026 K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((u \ z) / w) * v5)). [para(102(a,1),9004(a,1,2,2,1,1)),flip(a)]. 9027 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(152(a,1),9004(a,1,2,2,1,1)),flip(a)]. 9028 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(8792,a,9006,a)]. 9029 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(171,a,8699,a(flip),b,9018,a)]. 9030 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(4533,a,9029,a)]. 9031 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(3257(a,1),9029(a,1,2,2,1))]. 9032 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(4466(a,1),9030(a,1,2,2,2)),flip(a)]. 9033 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(5187(a,1),9030(a,1,2,2,2))]. 9034 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(9032(a,1),8827(a,1,1))]. 9035 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(171,a,9009,a(flip),b,9031,a(flip)),flip(a)]. 9036 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(102(a,1),9035(a,1,2,2,2,1)),flip(a)]. 9038 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(171,a,8363,a(flip),b,8995,a(flip)),flip(a)]. 9039 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(4334(a,1),8995(a,1,2,1))]. 9040 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(3706(a,1),9008(a,1,2,2,1))]. 9041 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(3757(a,1),9008(a,1,2,2))]. 9042 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(8679(a,1),9008(a,1))]. 9043 K(x,K(y,((z * u) * (w / u)) / w)) = K(x,K(y,L(z,u,w / u))). [para(16(a,1),9020(a,1,2,2,2))]. 9044 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(84(a,1),9042(a,1,2,2,2))]. 9045 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(5353(a,1),9042(a,1,2,2,2))]. 9047 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(171,a,8259,a(flip),b,8968,a(flip))]. 9048 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(171,a,8970,a(flip),b,9047,a(flip))]. 9049 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(9048(a,2),6455(a,2,2))]. 9050 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(522(a,1),9007(a,1,2,2,1,1)),flip(a)]. 9051 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [hyper(8792,a,9026,a),flip(a)]. 9052 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(8792,a,9027,a)]. 9053 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(171,a,4339,a,b,9033,a)]. 9054 K(x,K(y,((z \ u) / w) * v5)) != v6 | K(x,K(y,((u / z) / w) * v5)) = v6. [para(9051(a,2),8792(a,1))]. 9055 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(9052(a,1),8792(a,1))]. 9056 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(9016,a,9053,a)]. 9058 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(9056(a,2),9016(a,1))]. 9060 L(x \ (K(y,K(z,u)) * w),x,K(y,K(z,u))) = (x * K(y,K(z,u))) \ w. [para(4301(a,1),8709(a,2,2))]. 9061 K(x \ (y / L(z,u,w)),z) != v5 | K((x * L(z,u,w)) \ y,z) = v5. [para(8461(a,1),8797(a,1))]. 9062 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(2894(a,1),9058(a,1,2,2,2,2))]. 9063 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(3764,a,8897,a),flip(a)]. 9064 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(171,a,9023,a(flip),b,9011,a)]. 9066 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(171,a,7045,a(flip),b,9064,a)]. 9067 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(8990,a,9066,a)]. 9069 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(8830,a,9034,a),flip(a)]. 9070 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(3706(a,1),9069(a,1,2,2,1))]. 9071 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(4776,a,9070,a)]. 9072 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(171,a,6233,a(flip),b,9071,a)]. 9073 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(102(a,1),9071(a,1,2,2,2,2)),flip(a)]. 9074 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(9071(a,1),2900(a,1,1)),flip(a)]. 9075 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(3934(a,2),9063(a,1,2))]. 9076 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(3981,a,9075,a),flip(a)]. 9077 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(171,a,7210,a,b,9076,a(flip)),flip(a)]. 9078 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = L(K(y,x),z,u) \ K(y,x). [para(7010(a,2),8881(a,2,1))]. 9079 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(6026(a,1),8885(a,1,2))]. 9080 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(9079(a,1),8890(a,1))]. 9081 (K(x,K(y,L(z,u,w))) * (1 / T(v5,v6))) \ (K(v6,v5) * K(x,K(y,L(z,u,w)))) = L(v5,1 / T(v5,v6),K(x,L(K(y,z),u,w))). [para(7004(a,2),8908(a,2,3))]. 9082 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(171,a,3042,a(flip),b,8928,a)]. 9083 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(2541,a,9082,a)]. 9085 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(171,a,8724,a(flip),b,9083,a(flip))]. 9086 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(9085(a,2),4575(a,1,1))]. 9087 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(4438(a,1),9086(a,1,1,1))]. 9088 T(x * K(x * y,z),y) \ T(x,T(y,T(z,u))) = K(z,x * y). [para(8720(a,2),9087(a,1,2))]. 9089 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(6897(a,1),9088(a,1,1,1,2))]. 9090 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = a(K(x,y),z,u). [hyper(171,a,8151,a(flip),b,9078,a)]. 9091 K(L(x,y,z) \ (u \ (u * x)),u * L(x,y,z)) = a(K(u,x),y,z). [hyper(171,a,8369,a(flip),b,9090,a(flip)),flip(a)]. 9092 K(L(x,y,z) \ x,u * L(x,y,z)) = a(K(u,x),y,z). [para(13(a,1),9091(a,1,1,2))]. 9093 K(a(x,y,z),u * L(z,y,x)) = a(K(u,z),y,x). [hyper(7154,a,9092,a)]. 9095 K((x * K(y,z)) \ u,T(w,x)) = K((K(y,z) * (u / K(y,z))) / (K(y,z) * x),w). [para(4483(a,1),8726(a,2,1,1))]. 9096 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(6139(a,1),8815(a,1,2))]. 9097 K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(y,z) * x),w). [para(3043(a,2),9095(a,2,1,1))]. 9098 K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(z,y) \ x),w). [para(3043(a,2),9097(a,2,1,2))]. 9099 K((x * K(y,z)) \ u,T(w,x)) = K(T(u,K(y,z)) / (K(z,y) \ x),w). [para(4481(a,1),9098(a,2,1,1))]. 9100 K((x * K(y,z)) \ u,T(w,x)) != v5 | K(u / (K(z,y) \ x),w) = v5. [para(9099(a,2),8862(a,1))]. 9102 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(171,a,8985,a(flip),b,8695,a)]. 9103 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(8771,a,9102,a)]. 9105 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(171,a,8395,a(flip),b,9103,a(flip))]. 9106 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(4305,a,9105,a)]. 9107 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(171,a,8770,a(flip),b,9106,a(flip))]. 9108 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(63(a,1),9107(a,1,2,2,1,2))]. 9109 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(171,a,7678,a(flip),b,9108,a(flip))]. 9110 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(171,a,8981,a(flip),b,9109,a(flip))]. 9111 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(4272,a,9110,a)]. 9112 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(171,a,4258,a,b,9111,a)]. 9113 L((x / K(y,K(z,u))) / w,w,K(y,K(z,u))) = (w * ((w * K(y,K(z,u))) \ x)) / w. [para(8705(a,2),8710(a,1,1,1))]. 9114 (x * ((x * K(y,K(z,u))) \ w)) / x = w / (x * K(y,K(z,u))). [hyper(171,a,8488,a(flip),b,9113,a(flip))]. 9115 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(3838(a,1),8785(a,1,2,2))]. 9116 K(x,(y \ z) / T(u,w)) \ K(x,K(y \ z,u)) = K(T(u,w) \ (T(z,y) / y),x). [para(5044(a,1),8832(a,1,1))]. 9117 K(T(x,y) \ (T(z,u) / u),w) = K(T(x,y) \ (u \ z),w). [hyper(171,a,8687,a(flip),b,9116,a(flip))]. 9118 K(T(x,y \ z) \ (y \ z),u) = K((T(z,y) / y) / x,u). [hyper(4611,a,9117,a),flip(a)]. 9119 K((T(x,y) / y) / z,u) = K((y \ x) / z,u). [hyper(4609,a,9118,a),flip(a)]. 9120 K((x \ y) / T(z,x \ y),u) = K(z \ (T(y,x) / x),u). [hyper(3349,a,9119,a),flip(a)]. 9121 K(x \ (T(y,z) / z),u) = K(x \ (z \ y),u). [hyper(3347,a,9120,a),flip(a)]. 9123 K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [para(4719(a,1),9077(a,1,2,1))]. 9124 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(4809(a,1),9115(a,1,2)),flip(a)]. 9125 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(171,a,13,a(flip),b,9124,a)]. 9126 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(3341,a,9125,a),flip(a)]. 9128 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(9125(a,1),3341(a,1))]. 9129 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(6901(a,1),9126(a,1,1,1,2,1,2))]. 9130 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(8827(a,1),9123(a,1,2,1))]. 9131 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(3071,a,9130,a),flip(a)]. 9132 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(171,a,9096,a(flip),b,9131,a(flip)),flip(a)]. 9133 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). [para(38(a,1),8925(a,1,2,1,2))]. 9134 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(171,a,8155,a,b,9021,a)]. 9135 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). [para(4321(a,1),9133(a,1,2))]. 9136 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(8691(a,1),9134(a,2,3))]. 9137 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(8870(a,1),9135(a,1,2))]. 9138 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(171,a,6359,a(flip),b,9137,a(flip)),flip(a)]. 9139 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(8997(a,2),9138(a,1,2))]. 9140 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(3891(a,1),9139(a,1,2,1))]. 9141 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(8127(a,1),9140(a,1,2))]. 9142 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(3043(a,1),9141(a,1,2))]. 9143 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(4620,a,9142,a)]. 9144 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(171,a,9132,a(flip),b,9143,a(flip)),flip(a)]. 9145 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(3070,a,9144,a),flip(a)]. 9146 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(9145(a,2),8285(a,2,2)),flip(a)]. 9148 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(171,a,8213,a(flip),b,9146,a(flip)),flip(a)]. 9149 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(171,a,8977,a(flip),b,9136,a(flip)),flip(a)]. 9151 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(13(a,1),9050(a,1,2,2,1,1)),flip(a)]. 9152 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(8819,a,9151,a)]. 9154 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(44(a,1),9152(a,1,2,2,2))]. 9155 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(7027(a,1),9049(a,1,1))]. 9156 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(188(a,1),9089(a,1,1,1))]. 9157 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(4212(a,1),9156(a,1,1))]. 9158 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(99(a,1),9157(a,1,2,2,2))]. 9159 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(5547(a,1),9158(a,1,2))]. 9160 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(2582(a,1),9159(a,1,2))]. 9161 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(171,a,6665,a(flip),b,9160,a(flip)),flip(a)]. 9162 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(171,a,6148,a(flip),b,9161,a(flip)),flip(a)]. 9163 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(123(a,1),9162(a,1,2)),flip(a)]. 9164 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(171,a,6923,a,b,9163,a(flip)),flip(a)]. 9167 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(171,a,6919,a(flip),b,9164,a(flip)),flip(a)]. 9169 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(171,a,6187,a(flip),b,9167,a(flip))]. 9170 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [hyper(171,a,4147,a(flip),b,9169,a)]. 9172 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(9169(a,1),2635(a,1,2))]. 9173 K(x \ y,y \ (x * z)) = K(x \ y,z * (y \ x)). [hyper(171,a,6060,a(flip),b,9170,a(flip)),flip(a)]. 9174 K(x \ y,y \ (x * z)) = K(z,y \ x). [hyper(171,a,3868,a(flip),b,9173,a)]. 9175 K(x \ y,y \ (x * z)) != u | K(z,y \ x) = u. [para(9173(a,2),3876(a,1))]. 9176 K(x \ L(x,y,z),L(x,y,z) \ (x * u)) = K(u,a(z,y,x)). [hyper(171,a,7157,a(flip),b,9174,a)]. 9177 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(171,a,6890,a,b,9172,a(flip)),flip(a)]. 9178 K(x \ y,y \ (x * z)) \ K(y,K(x \ y,y \ (x * z))) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(4262(a,1),8693(a,1,2))]. 9180 K(x \ y,y \ (x * z)) \ K(y,K(x * z,x \ y)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(4337(a,1),9178(a,1,2))]. 9181 K(x \ y,y \ (x * z)) \ K(y,K(x * z,x)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(4350(a,1),9180(a,1,2))]. 9182 K(x \ y,y \ (x * z)) \ K(x,K(z,y)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(4235(a,1),9181(a,1,2))]. 9183 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(4274(a,1),9182(a,1,2))]. 9184 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = ((x * (((x \ y) \ z) \ z)) / y) \ 1. [para(1201(a,1),9183(a,2,1,1))]. 9185 T((x * (((x \ y) \ z) \ z)) / y,K(u,w)) = 1 \ ((x * (((x \ y) \ z) \ z)) / y). [para(8713(a,1),8828(a,1,1)),flip(a)]. 9186 T((x * (((x \ y) \ z) \ z)) / y,K(u,w)) != v5 | (x * (((x \ y) \ z) \ z)) / y = v5. [para(9185(a,2),184(a,1)),flip(b)]. 9188 K((K(T(x,y),z) \ u) \ T(x,T(y,w)),T(v5,u)) = K((T(T(x,z),T(y,w)) * K(z,T(x,y))) / (u * K(z,T(x,y))),v5). [para(3043(a,2),8904(a,1,1,1))]. 9189 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(9177(a,1),9129(a,1,1,1))]. 9190 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(9128,a,9189,a),flip(a)]. 9191 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(171,a,8951,a,b,9190,a)]. 9192 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(171,a,9073,a,b,9191,a(flip)),flip(a)]. 9193 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(8823,a,9192,a),flip(a)]. 9194 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(9193(a,1),9074(a,2,1))]. 9195 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(171,a,2900,a(flip),b,9194,a)]. 9196 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(9195(a,1),7431(a,1,1))]. 9197 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(171,a,7431,a(flip),b,9196,a(flip))]. 9198 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(9197(a,1),8648(a,1,1,1)),flip(a)]. 9199 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(171,a,8648,a(flip),b,9198,a)]. 9200 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(171,a,3935,a(flip),b,9199,a)]. 9201 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(4584,a,9200,a)]. 9202 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(171,a,9071,a(flip),b,9201,a(flip)),flip(a)]. 9203 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(171,a,9072,a(flip),b,9202,a(flip))]. 9204 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(171,a,6233,a(flip),b,9203,a(flip)),flip(a)]. 9205 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(99(a,1),9204(a,1,2,2,1,1)),flip(a)]. 9207 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(171,a,8951,a(flip),b,9205,a(flip)),flip(a)]. 9208 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(171,a,4240,a,b,9207,a),flip(a)]. 9209 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,8964,a,b,9208,a),flip(a)]. 9210 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(4533,a,9209,a)]. 9211 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(171,a,8981,a(flip),b,9209,a(flip))]. 9212 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(171,a,8979,a(flip),b,9209,a(flip))]. 9213 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(9209(a,1),9001(a,1,1))]. 9214 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(8792,a,9212,a)]. 9215 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),9214(a,1,2,2,2,2)),flip(a)]. 9216 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(7028,a,9213,a),flip(a)]. 9217 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(171,a,9038,a(flip),b,9216,a(flip))]. 9218 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(63(a,1),9216(a,1,2,1,2)),flip(a)]. 9219 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(8794,a,9218,a)]. 9220 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),9217(a,2,2,2,2))]. 9221 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(171,a,9015,a,b,9220,a)]. 9222 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(9220(a,2),9017(a,1))]. 9223 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(171,a,9219,a(flip),b,9221,a(flip)),flip(a)]. 9224 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(8205(a,1),9221(a,1,2))]. 9225 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(9221(a,2),9017(a,1))]. 9227 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(171,a,9224,a(flip),b,9223,a(flip))]. 9228 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(2393(a,2),9223(a,2,2,2,1))]. 9229 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(8206(a,1),9228(a,1,2))]. 9230 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(9222,a,9229,a),flip(a)]. 9231 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(171,a,9210,a(flip),b,9230,a(flip)),flip(a)]. 9232 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(9040,a,9231,a)]. 9233 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(171,a,9051,a,b,9232,a(flip)),flip(a)]. 9234 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(171,a,9052,a(flip),b,9232,a(flip))]. 9235 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(9055,a,9233,a)]. 9236 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(9022,a,9234,a)]. 9237 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(171,a,9227,a,b,9234,a(flip)),flip(a)]. 9238 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(171,a,8772,a(flip),b,9234,a(flip))]. 9239 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(171,a,8444,a,b,9236,a(flip)),flip(a)]. 9240 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(5837(a,1),9236(a,1,2))]. 9241 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(8509(a,1),9236(a,1,2,2,2,1)),flip(a)]. 9242 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(9022,a,9237,a)]. 9243 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(171,a,8364,a(flip),b,9239,a(flip)),flip(a)]. 9244 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(8872(a,1),9240(a,1,2)),flip(a)]. 9245 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(171,a,9242,a(flip),b,9241,a)]. 9247 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(171,a,9235,a(flip),b,9245,a(flip)),flip(a)]. 9248 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(9017,a,9247,a)]. 9250 K(x,K(y,((z / u) / (w * z)) * u)) = K(x,K(y,L(w,z,u / z))). [hyper(171,a,9043,a(flip),b,9247,a(flip))]. 9251 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(171,a,9036,a(flip),b,9247,a(flip)),flip(a)]. 9252 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(4533,a,9251,a)]. 9253 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(100(a,1),9251(a,1,2,2,2)),flip(a)]. 9254 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(171,a,9149,a(flip),b,9252,a(flip))]. 9255 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(8701,a,9254,a)]. 9256 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(171,a,7066,a,b,9254,a)]. 9257 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(9254(a,1),4272(a,1))]. 9258 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),9255(a,1,2,2,2,2))]. 9259 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(9040,a,9253,a),flip(a)]. 9260 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(9062,a,9259,a)]. 9261 K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(9260(a,1),9080(a,1))]. 9262 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),9256(a,2,2))]. 9263 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(171,a,4309,a(flip),b,9244,a)]. 9264 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(171,a,9214,a(flip),b,9263,a(flip))]. 9266 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(171,a,9210,a(flip),b,9264,a)]. 9267 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(9044,a,9266,a)]. 9268 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(157(a,1),9266(a,1,2,2,2))]. 9269 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(171,a,9005,a(flip),b,9268,a)]. 9271 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(171,a,9154,a(flip),b,9269,a(flip))]. 9273 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(96(a,1),9271(a,1,2,2)),flip(a)]. 9274 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(171,a,9003,a,b,9273,a(flip)),flip(a)]. 9275 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(9041,a,9274,a),flip(a)]. 9276 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(8831,a,9274,a)]. 9277 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(9041,a,9275,a),flip(a)]. 9278 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(9045,a,9277,a),flip(a)]. 9279 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(9044,a,9277,a)]. 9280 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(171,a,9238,a(flip),b,9277,a(flip))]. 9281 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(171,a,9267,a(flip),b,9280,a(flip)),flip(a)]. 9282 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(171,a,9028,a(flip),b,9278,a)]. 9283 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(171,a,7670,a(flip),b,9276,a)]. 9284 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(171,a,9248,a(flip),b,9283,a)]. 9285 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(4533,a,9284,a)]. 9286 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(8078(a,1),9285(a,1,2)),flip(a)]. 9287 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(3747(a,1),9282(a,1,2,2,2))]. 9288 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(9042,a,9287,a)]. 9290 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(171,a,9288,a(flip),b,9281,a(flip)),flip(a)]. 9291 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(9261,a,9290,a),flip(a)]. 9292 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(171,a,8323,a(flip),b,9291,a(flip)),flip(a)]. 9293 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(171,a,8243,a,b,9286,a)]. 9294 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(8793,a,9039,a),flip(a)]. 9296 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(L(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [para(8407(a,1),9294(a,2,2))]. 9297 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [hyper(171,a,7041,a(flip),b,9296,a)]. 9298 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(171,a,9067,a(flip),b,9297,a)]. 9299 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(9058,a,9298,a)]. 9302 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(171,a,9020,a(flip),b,9299,a(flip)),flip(a)]. 9303 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(171,a,9025,a(flip),b,9302,a(flip))]. 9304 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(7037,a,9303,a)]. 9306 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(8175(a,1),9303(a,1,2,2,2))]. 9307 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(171,a,8240,a,b,9304,a)]. 9308 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(171,a,9292,a(flip),b,9306,a)]. 9309 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(9308(a,1),9155(a,1,1)),flip(a)]. 9310 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(8241,a,9307,a)]. 9311 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(2811(a,1),9310(a,1,2))]. 9312 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(2823(a,1),9310(a,1,2))]. 9313 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(171,a,7680,a(flip),b,9311,a(flip))]. 9314 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(4262(a,2),9313(a,2,3))]. 9315 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(7678(a,1),9314(a,2,3))]. 9316 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),9315(a,1,3,2,2))]. 9317 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(4262(a,1),9316(a,1,3))]. 9318 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),9317(a,2,3,2,2))]. 9319 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(4262(a,1),9318(a,2,3))]. 9320 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(63(a,1),9319(a,1,2,2))]. 9321 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(4262(a,2),9320(a,1,3))]. 9322 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(4262(a,2),9321(a,2,3))]. 9323 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(8266,a,9322,a)]. 9324 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(4274(a,1),9323(a,2,3))]. 9325 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(4273(a,1),9309(a,2,2))]. 9327 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(171,a,6510,a(flip),b,9325,a)]. 9328 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(6455(a,1),9327(a,2,1))]. 9329 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(171,a,8291,a(flip),b,9328,a)]. 9330 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(9048(a,1),9329(a,1,2))]. 9331 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(4273(a,1),9330(a,1,3))]. 9332 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(7082,a,9331,a)]. 9333 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(108(a,1),9332(a,1,2,1))]. 9334 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(171,a,9293,a,b,9333,a(flip)),flip(a)]. 9335 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(171,a,9324,a(flip),b,9333,a(flip)),flip(a)]. 9336 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(171,a,8225,a,b,9335,a)]. 9337 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(4262(a,1),9334(a,2,3))]. 9338 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(3231(a,1),9337(a,1,2,2,2,1))]. 9339 K(T(x,y) * ((T(x,T(y,z)) / u) / T(x,T(y,z))),w) = K(((T(x,T(y,z)) / u) / x) * T(x,T(u \ 1,T(y,z))),w). [para(5058(a,1),8865(a,1,1)),flip(a)]. 9340 K(T(x,y) * ((T(x,T(y,z)) / u) / T(x,T(y,z))),w) = K(((T(x,T(y,z)) / u) / x) * T(x,u \ 1),w). [hyper(171,a,8857,a(flip),b,9339,a)]. 9342 K(K(x \ 1,y) \ (T(y,T(z,u)) / x),w) = K(T(y,z) * ((T(y,T(z,u)) / x) / T(y,T(z,u))),w). [hyper(171,a,8787,a(flip),b,9340,a),flip(a)]. 9343 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(727(a,1),9338(a,1,2,2,2,1,2))]. 9344 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(8173(a,1),9343(a,1,2))]. 9345 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(4099(a,1),9344(a,1,2,2,1))]. 9346 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(171,a,9279,a(flip),b,9345,a(flip)),flip(a)]. 9347 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(9008,a,9346,a)]. 9348 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(3780(a,1),9347(a,2,3,2))]. 9349 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(8972(a,1),9348(a,2,3))]. 9350 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(171,a,9258,a(flip),b,9349,a(flip)),flip(a)]. 9352 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(60(a,1),9350(a,1,3,2,1))]. 9353 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(9215(a,1),9352(a,1,3))]. 9354 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(4258(a,1),9353(a,1,3))]. 9355 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(9112(a,1),9354(a,1,3))]. 9356 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(171,a,7000,a(flip),b,9355,a(flip))]. 9357 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(4274(a,1),9356(a,1,3))]. 9358 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(171,a,9312,a,b,9357,a(flip)),flip(a)]. 9359 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(171,a,9336,a(flip),b,9358,a(flip))]. 9360 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(4258(a,1),9359(a,2,3))]. 9361 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(9257,a,9360,a)]. 9362 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(4262(a,2),9361(a,2,3))]. 9363 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(171,a,9262,a(flip),b,9362,a(flip)),flip(a)]. 9364 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(4339(a,1),9363(a,1,3))]. 9365 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(4274(a,1),9364(a,2,3))]. 9366 K(x,K(y,L(z,u,w / u))) = K(x,K(y,z)) * a(w,y,K(x,K(z,u))). [para(9364(a,1),8288(a,1,2)),flip(a)]. 9367 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(171,a,9360,a(flip),b,9365,a(flip))]. 9368 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(9367(a,1),8230(a,1,1))]. 9369 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(4258(a,1),9368(a,1,2))]. 9370 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(8321,a,9369,a),flip(a)]. 9371 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(7085,a,9370,a)]. 9372 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(171,a,9243,a(flip),b,9371,a)]. 9373 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(474(a,1),9371(a,1,2,2)),flip(a)]. 9374 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(4971(a,1),9371(a,1,2)),flip(a)]. 9375 K(x,K(y,L(K(z,u / z) * w,u,K(u / z,z)))) = K(x,K(y,((z \ u) * z) \ (u * w))). [para(3066(a,1),9371(a,1,2,2)),flip(a)]. 9376 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(9225,a,9372,a)]. 9377 K(x,K(y,z / (u * w))) = K(x,K(y,(u / z) * w)). [hyper(4533,a,9376,a)]. 9378 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(9374(a,2),4364(a,1))]. 9379 K(x,K(y,L(K(z,u / z) * w,u,K(u / z,z)))) = K(x,K(y,(w * u) / ((z \ u) * z))). [para(8734(a,2),9375(a,2,2))]. 9380 K(x,K(y,L(K(z,u / z) * w,u,K(u / z,z)))) = K(x,K(y,((z \ u) / (w * u)) * z)). [hyper(171,a,9377,a(flip),b,9379,a)]. 9381 K(x,K(y,L(K(z,u / z) * w,u,K(u / z,z)))) != v5 | K(x,K(y,((u / z) / (w * u)) * z)) = v5. [para(9380(a,2),9054(a,1))]. 9382 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(171,a,8678,a,b,9373,a)]. 9383 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(171,a,9376,a(flip),b,9382,a)]. 9384 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(171,a,9211,a(flip),b,9383,a)]. 9387 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(4468(a,1),9384(a,2,2))]. 9388 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(171,a,8671,a(flip),b,9387,a)]. 9391 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(171,a,8364,a(flip),b,9388,a(flip)),flip(a)]. 9392 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(9378,a,9391,a),flip(a)]. 9395 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6031(a,1),9392(a,1,2)),flip(a)]. 9396 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,v5,v6))). [hyper(171,a,9395,a,b,9395,a)]. 9397 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(171,a,4317,a(flip),b,9395,a)]. 9398 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(171,a,4309,a(flip),b,9395,a)]. 9403 K(L(K(x,y),z,u),w) = K(x,K(y,w)). [hyper(171,a,7026,a,b,9397,a(flip)),flip(a)]. 9413 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(9398(a,1),8706(a,1,1))]. 9415 T(x,L(K(y,z),u,w)) = K(y,K(z,x)) \ x. [para(9403(a,1),2762(a,2,1))]. 9416 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [hyper(171,a,4246,a(flip),b,9415,a)]. 9417 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [hyper(7061,a,9416,a)]. 9418 (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). [para(9416(a,1),7141(a,1,1,1))]. 9421 x \ T(y * T(x,K(z,u)),K(z,L(u,w,v5))) = T(y,K(L(u,w,v5),z) * x). [para(9417(a,1),8540(a,1,2,1,2))]. 9426 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,v5,v6))). [hyper(7044,a,9396,a)]. 9529 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(y,K(w,L(x,v7,v8))). [hyper(171,a,9302,a,b,9426,a),flip(a)]. 9531 K(x,T(y,L(z,u,w))) = K(x,y) * K(z,K(x,L(y,v5,v6))). [para(9426(a,1),4293(a,1,2)),flip(a)]. 9533 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(8684(a,2),9413(a,2,2))]. 9534 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(4303,a,9533,a)]. 9536 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) \ w). [hyper(67,a,79,a(flip),b,9533,a)]. 9537 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. [hyper(68,a,9533,a(flip),b,9413,a(flip))]. 9539 (K(x,K(y,z)) \ (u * w)) / (K(x,K(y,z)) \ w) != v5 | v5 = u. [para(9536(a,2),213(a,1,1))]. 9562 K(x,K(y,L(z,u,w))) = K(z,K(x,((v5 / v6) / (y * v5)) * v6)). [hyper(9381,a,9529,a),flip(a)]. 9563 (K(x,K(y,L(z,u,w))) * (1 / T(z,y))) \ K(y,T(z,L(x,v5,v6))) = L(z,1 / T(z,y),K(x,L(K(y,z),u,w))). [para(9531(a,2),9081(a,1,2))]. 9565 K(x,K(y,L(z,u,w / u))) = K(y,K(z,L(x,v5,v6))). [hyper(171,a,9250,a(flip),b,9562,a),flip(a)]. 9566 K(x,K(y,L(z,u,w))) = K(z,K(x,y)) * a(v5,x,K(z,K(y,v6))). [hyper(171,a,9366,a(flip),b,9565,a(flip))]. 9567 L(K(x,K(y,z)),u,w) = K(x,K(y,z)) * a(v5,y,K(x,K(z,v6))). [hyper(7037,a,9566,a)]. 9568 a(x,y,K(z,K(u,w))) = 1. [hyper(8228,a,9567,a),flip(a)]. 9570 a(K(x,y),z,K(u,w)) = 1. [hyper(8220,a,9568,a)]. 9573 a(K(x,K(y,z)),u,w) = 1. [hyper(171,a,8088,a,b,9568,a(flip)),flip(a)]. 9574 K(x,K(y,a(z,u,w))) = 1. [hyper(171,a,8243,a(flip),b,9568,a(flip)),flip(a)]. 9577 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(33,a,9570,a)]. 9581 L(x,y,K(z,K(u,w))) = x. [hyper(33,a,9573,a)]. 9582 K(a(K(x,y),z,u),w) = 1. [hyper(171,a,7880,a(flip),b,9573,a(flip)),flip(a)]. 9588 T(x,K(y,a(z,u,w))) = x. [hyper(37,a,9574,a)]. 9590 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) * w). [hyper(364,a,9581,a),flip(a)]. 9591 L(x,y,K(z,K(u,w))) = (x * (K(v5,K(v6,v7)) * v8)) / (v8 * K(v5,K(v6,v7))). [hyper(171,a,9537,a,b,9581,a)]. 9593 (x * K(y,K(z,u))) \ w = x \ (K(y,K(z,u)) * w). [hyper(171,a,9060,a(flip),b,9581,a(flip)),flip(a)]. 9595 L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). [hyper(171,a,5463,a(flip),b,9581,a(flip)),flip(a)]. 9596 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(9581(a,1),89(a,1,2))]. 9597 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(9581(a,1),345(a,1,2))]. 9598 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(9581(a,1),300(a,2,1))]. 9599 L(x,y,K(z,L(K(u,w),v5,v6))) = x. [para(3497(a,1),9581(a,1,3,2))]. 9603 K(a(x,y,K(z,u)),w) = 1. [para(8086(a,1),9582(a,1,1))]. 9605 T(K(a(x,y,z),u),w) = K(a(x,y,z),u). [hyper(3166,a,9588,a)]. 9611 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(37,a,9603,a)]. 9612 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(6982,a,9577,a)]. 9613 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(6981,a,9577,a)]. 9615 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(y,z) * w)). [hyper(171,a,6962,a(flip),b,9577,a(flip))]. 9616 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(171,a,4704,a(flip),b,9577,a(flip))]. 9617 L(L(K(x,y),z,u),w,K(v5,v6)) = L(K(x,y),z,u). [para(9577(a,1),45(a,1,1)),flip(a)]. 9618 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(9577(a,1),89(a,1,2))]. 9619 K(x,y) \ (z * K(u,w)) = (K(x,y) \ z) * K(u,w). [para(9577(a,1),3375(a,1,2)),flip(a)]. 9620 L(K(x,y),z,L(K(u,w),v5,v6)) = K(x,y). [para(3497(a,1),9577(a,1,3))]. 9621 K(x,L(y,z,K(u,w))) = (K(x,y) * v5) / v5. [hyper(171,a,15,a,b,9612,a)]. 9624 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(8956,a,9613,a)]. 9625 K((L(K(x,y),z,u) \ y) / w,v5) = K(y / (w * L(K(x,y),z,u)),v5). [hyper(171,a,8523,a(flip),b,9613,a(flip)),flip(a)]. 9626 K((x * K(y,z)) / (u * K(y,z)),w) = K(x / u,w). [hyper(171,a,8408,a(flip),b,9613,a(flip)),flip(a)]. 9629 K(a(x,y,z),u * w) != v5 | K(a(x,y,z),w * u) = v5. [para(9605(a,1),4783(a,1))]. 9631 (a(x,y,K(z,u)) \ w) * a(x,y,K(z,u)) = w. [para(9611(a,1),136(a,1,2))]. 9633 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [hyper(171,a,6962,a(flip),b,9620,a(flip))]. 9634 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(9620(a,1),89(a,1,2))]. 9635 K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. [para(9621(a,2),213(a,1)),flip(b)]. 9637 L(K(x,y),z,K(u,w)) != v5 | K(x,y) = v5. [para(6021(a,1),9635(a,1))]. 9639 L(K(x,y),z,L(K(u,w),v5,v6)) != v7 | K(x,y) = v7. [para(3497(a,1),9637(a,1,3))]. 9641 x * L(y,K(z,u),K(u,z) * x) = (x * K(u,z)) * (K(z,u) * y). [para(9595(a,2),3774(a,1,2))]. 9642 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [para(8118(a,1),9631(a,1,1))]. 9643 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [para(6467(a,1),9642(a,1,1)),flip(a)]. 9644 (K(x,y) * (z * u)) \ (K(x,y) * (z * T(u,w))) = L(K(u,w),u,z). [hyper(171,a,2853,a(flip),b,9617,a(flip)),flip(a)]. 9645 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) \ w). [para(4300(a,2),9590(a,2,2))]. 9647 (x * (x \ (K(y,K(z,u)) * w))) / x = w / (x * K(y,K(z,u))). [para(9593(a,1),9114(a,1,1,2))]. 9649 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [hyper(408,a,9596,a)]. 9650 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(z,y) \ w)). [para(3043(a,2),9615(a,2,2,2))]. 9652 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(171,a,8855,a(flip),b,9616,a(flip)),flip(a)]. 9655 K(x,y) * (K(z,T(u,K(w,v5) * v6)) * v6) = (K(x,y) * v6) * K(z,u). [para(8941(a,2),9618(a,2,2)),flip(a)]. 9656 (K(x,K(y,z)) \ (u * w)) / (K(x,K(y,z)) * w) = R(u,T(K(x,K(y,z)),w),T(w,K(x,K(y,z)))). [para(9649(a,2),8775(a,1,1))]. 9657 K(x,(K(y,z) * ((K(u,w) \ v5) / K(y,z))) \ v6) = K(x,v5 \ (K(w,u) \ v6)). [hyper(171,a,8845,a,b,9650,a(flip)),flip(a)]. 9658 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (K(L(z,u,w),y) \ v6)). [para(6953(a,2),9650(a,1,2,1,1))]. 9659 K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). [hyper(171,a,8892,a,b,9652,a(flip)),flip(a)]. 9660 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (L(K(u,y),w,v5) * v6),v7). [para(6420(a,2),9652(a,2,1,2)),flip(a)]. 9661 (K(x,K(y,z)) * u) / w = u / (w * K(x,K(y,z))). [para(14(a,1),9647(a,1,1))]. 9662 x / (y * K(z,K(u,w))) = K(z,K(u,w)) * (x / y). [hyper(171,a,9597,a(flip),b,9661,a(flip))]. 9664 K(x,K(y,z)) * (u / T(z,w)) = u / T(T(z,K(x,y)),w). [para(8875(a,1),9662(a,1,2)),flip(a)]. 9665 (K(x,y) * z) * (K(y,T(x,z)) * u) = z * L(u,K(y,x),K(x,y) * z). [hyper(171,a,6629,a,b,9641,a),flip(a)]. 9666 (K(x,y) \ (z * u)) \ (K(y,x) * (z * T(u,w))) = L(K(u,w),u,z). [para(3043(a,2),9644(a,1,1))]. 9667 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * T(u,w))) = L(K(u,w),u,z). [para(3043(a,2),9666(a,1,2))]. 9668 L(K(x \ y,z),x \ y,x) = (K(u,w) \ y) \ (K(u,w) \ (x * T(x \ y,z))). [para(14(a,1),9667(a,1,1,2)),flip(a)]. 9669 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(171,a,4412,a(flip),b,9624,a)]. 9670 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(9669(a,2),4750(a,1))]. 9673 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(6171(a,1),9633(a,1,2,1))]. 9674 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(171,a,8856,a(flip),b,9673,a(flip)),flip(a)]. 9675 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(9674(a,1),3759(a,1,1,2))]. 9676 L(x,y,K(z,K(u,w))) != v5 | v5 = x. [para(9591(a,2),213(a,1))]. 9678 (K(x,y) * (z * (K(y,T(x,z)) * u))) * a(x,z,K(K(y,T(x,z)) * u,y)) = z * L(u,K(y,x),K(x,y) * z). [hyper(171,a,8091,a,b,9665,a(flip)),flip(a)]. 9679 T(x,K(L(y,z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(9417(a,1),9421(a,1,2)),flip(a)]. 9680 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(171,a,8540,a(flip),b,9679,a)]. 9682 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(8719,a,9680,a)]. 9683 T(x,K(y,L(z,u,w)) \ v5) = T(x,K(z,y) * v5). [para(3043(a,2),9680(a,1,2))]. 9684 K(x * K(L(y,z,u),w),v5) = v5 / T(v5,K(y,w) * x). [para(9682(a,1),2748(a,2,2))]. 9685 T(x,y * L(K(z,u),w,v5)) = T(x,K(z,u) * y). [para(4711(a,1),9682(a,1,2,2))]. 9686 T(x,L(K(y,z),u,w) \ v5) = T(x,K(z,y) * v5). [para(6021(a,1),9683(a,1,2,1))]. 9687 T(x,(y / K(z,u)) * L(K(z,u),w,v5)) = T(x,y * K(K(z,u),K(z,u) \ y)). [para(2635(a,2),9685(a,2,2))]. 9688 T(x,L(K(y,z),u,w) \ v5) = T(x,K(y,z) \ v5). [para(3043(a,2),9686(a,2,2))]. 9689 K(x,L(K(y,z),u,w) \ v5) = x \ T(x,K(y,z) \ v5). [hyper(67,a,9688,a(flip),b,2793,a(flip)),flip(a)]. 9690 K(L(K(x,y),z,u) \ w,v5) = v5 / T(v5,K(x,y) \ w). [para(9688(a,1),2748(a,2,2))]. 9691 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [hyper(171,a,2748,a,b,9684,a)]. 9692 K(x * L(K(y,z),u,w),v5) = K(K(y,z) * x,v5). [para(4711(a,1),9691(a,1,1,2))]. 9693 K(x,L(K(y,z),u,w) \ v5) = K(x,K(y,z) \ v5). [hyper(171,a,2752,a,b,9689,a)]. 9694 K(x,K(L(y,z,u),w) \ v5) = K(x,K(w,y) \ v5). [hyper(8826,a,9693,a)]. 9695 K(L(K(x,y),z,u) \ w,v5) = K(K(x,y) \ w,v5). [hyper(171,a,2748,a,b,9690,a)]. 9697 K(x,(K(y,z) * ((K(u,T(w,v5)) \ v6) / K(y,z))) \ v7) = K(x,v6 \ (K(w,T(u,v5)) \ v7)). [para(3935(a,1),9657(a,1,2,1,2,1,1))]. 9698 (K(x,y) \ z) \ (K(x,y) \ (u * T(u \ z,T((u \ z) \ w,v5)))) = K(u \ z,T(z \ (u * w),v5)). [hyper(171,a,6964,a(flip),b,9668,a(flip))]. 9699 (K(x,y) \ z) \ (K(x,y) \ (u * T(u \ z,w))) != v5 | K((z \ u) \ 1,w) = v5. [para(9668(a,1),4109(a,1))]. 9700 T(x,(y * K(z,u)) * L(K(u,z),w,v5)) = T(x,y * K(K(u,z),K(u,z) \ y)). [para(3762(a,1),9687(a,1,2,1))]. 9701 T(x,y * K(K(z,u),K(z,u) \ y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(6978(a,1),9700(a,1,2)),flip(a)]. 9702 T(x,y * K(K(z,u),K(u,z) * y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(3043(a,1),9701(a,1,2,2,2))]. 9703 T(x,y * K(z,K(u,K(u,z) * y))) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(4228(a,1),9702(a,1,2,2))]. 9704 T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y). [hyper(171,a,8836,a(flip),b,9703,a(flip))]. 9706 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(6440(a,1),9704(a,1,2,2))]. 9707 K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). [para(9706(a,1),4880(a,1,1,1,1))]. 9709 T(x,y) \ T(T(x,z),T(y,a(u,w,K(v5,v6)) * z)) = K(x,z * a(u,w,K(v5,v6))). [para(9706(a,1),8790(a,1,2,1))]. 9710 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(3773,a,9675,a),flip(a)]. 9711 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). [hyper(171,a,8931,a,b,9710,a(flip)),flip(a)]. 9712 K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). [para(8963(a,1),9709(a,1,2)),flip(a)]. 9713 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(171,a,4496,a(flip),b,9712,a)]. 9715 K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. [para(9713(a,1),3759(a,1,1,2)),flip(a)]. 9716 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(171,a,3759,a(flip),b,9715,a)]. 9717 K(x,(K(y,T(z,u)) * ((K(w,T(v5,v6)) \ v7) * K(z,T(y,u)))) \ v8) = K(x,v7 \ (K(v5,T(w,v6)) \ v8)). [para(3980(a,1),9697(a,1,2,1,2))]. 9718 (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(9534(a,2),9598(a,1,1))]. 9719 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(9534(a,2),9718(a,1,2))]. 9720 L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). [hyper(171,a,3401,a(flip),b,9719,a(flip)),flip(a)]. 9721 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). [para(4228(a,1),9720(a,1,3))]. 9722 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(9676,a,9721,a)]. 9724 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(3938(a,1),9722(a,1,2))]. 9725 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(171,a,9148,a(flip),b,9724,a(flip)),flip(a)]. 9727 L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. [para(9725(a,1),96(a,1,1))]. 9728 K(x,T((K(y,z) * u) * L(w,K(y,z),u),L(w,K(y,z),u))) = K(x,(w * K(y,z)) * u). [para(9727(a,1),4421(a,2,2))]. 9729 K(x,T(y * (T(K(z,u),y) * w),L(w,K(z,u),y))) = K(x,(w * K(z,u)) * y). [para(5374(a,1),9728(a,1,2,1))]. 9730 K(x,T(y * (K(z,T(u,y)) * w),L(w,K(z,u),y))) = K(x,(w * K(z,u)) * y). [para(3934(a,2),9729(a,1,2,1,2,1))]. 9731 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). [para(4331(a,1),9418(a,1,1))]. 9733 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * L(K(x,T(y,z)),u,w). [para(4387(a,1),9731(a,2,2))]. 9734 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. [hyper(171,a,3946,a(flip),b,9733,a)]. 9735 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(y,x) * L(K(x,y),u,w),y)) = L(K(x,y),u,w) * z. [hyper(171,a,8091,a,b,9734,a(flip)),flip(a)]. 9736 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [para(8113(a,1),9734(a,1,2))]. 9737 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(8863,a,9711,a)]. 9738 (K(x,K(y,z)) \ (u * w)) / (K(x,K(y,z)) \ w) = R(u,T(K(x,K(y,z)),w),T(w,K(x,K(y,z)))). [para(4300(a,2),9656(a,1,2))]. 9739 R(x,T(K(y,K(z,u)),w),T(w,K(y,K(z,u)))) = x. [hyper(9539,a,9738,a)]. 9740 R(x,K(y,K(z,u)),w) = x. [hyper(4593,a,9739,a)]. 9741 L(x,K(y,K(z,u)),w) = x. [hyper(171,a,9725,a(flip),b,9740,a(flip)),flip(a)]. 9744 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). [hyper(171,a,169,a(flip),b,9741,a(flip)),flip(a)]. 9745 K(x,K(y,z)) \ (K(y,x) \ u) = K(y,T(x,z)) \ u. [para(4293(a,1),9744(a,1,1)),flip(a)]. 9746 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [para(8704(a,2),9744(a,1,1))]. 9747 K(x,K(y,T(z,u)) \ w) = K(x,K(y,z) \ w). [para(9745(a,1),8842(a,1,2))]. 9748 K(K(x,T(y,z)) \ u,w) = K(K(x,y) \ u,w). [para(9745(a,1),8853(a,1,1))]. 9749 K(K(x,T(y,z)) \ u,w) != v5 | K(K(x,y) \ u,w) = v5. [para(9745(a,1),8864(a,1,1))]. 9750 K(x,K(y,T(z,u)) \ w) != v5 | K(x,K(z,y) \ w) = v5. [para(9747(a,2),8817(a,1))]. 9751 K(x,K(y,z)) \ (u \ w) = u \ (K(x,K(y,z)) \ w). [hyper(171,a,9645,a(flip),b,9746,a(flip))]. 9752 K(x,y \ (K(z,K(u,w)) \ v5)) = K(x,y \ v5). [para(9751(a,1),8842(a,1,2))]. 9753 K(x,y \ (T(z,K(u,w)) * v5)) = K(x,y \ (z * v5)). [para(2809(a,1),9752(a,1,2,2)),flip(a)]. 9754 K(x,y \ (z * T(u,K(w,v5)))) = K(x,y \ (z * u)). [para(8774(a,1),9752(a,1,2,2))]. 9755 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,y \ (K(z,u) \ v5)). [para(9745(a,1),9752(a,1,2,2))]. 9756 K(x,y \ (L(T(z,K(u,w)),v5,v6) * v7)) = K(x,y \ (L(z,v5,v6) * v7)). [para(40(a,2),9753(a,1,2,2,1))]. 9757 K(x,y \ (z * L(T(u,K(w,v5)),v6,v7))) = K(x,y \ (z * L(u,v6,v7))). [para(40(a,2),9754(a,1,2,2,2))]. 9758 K(x * K(y,z),u) != w | K(K(z,y) \ x,u) = w. [para(4433(a,1),9749(a,1,1))]. 9760 K(x,L(y \ (L(T(z,K(u,w)),v5,v6) * v7),y,K(v7,L(T(z,K(u,w)),v5,v6)))) = K(x,(K(L(T(z,K(u,w)),v5,v6),v7) \ y) \ (v7 * L(z,v5,v6))). [para(3416(a,2),9757(a,1,2))]. 9761 (K(x,y) \ z) \ (K(x,y) \ (u * T(u \ z,(u \ z) \ T(w,v5)))) = K(u \ z,T(z \ (u * w),v5)). [para(6670(a,2),9698(a,1,2,2,2))]. 9762 K(x,(K(y,T(z,u)) * (K(w,T(v5,v6)) \ (v7 * K(z,T(y,u))))) \ v8) = K(x,v7 \ (K(v5,T(w,v6)) \ v8)). [para(9619(a,2),9717(a,1,2,1,2))]. 9763 K((x \ y) \ 1,(y \ x) \ T(z,u)) = K(y \ x,T(x \ (y * z),u)). [hyper(9699,a,9761,a)]. 9764 K(x \ y,y \ (x * T(z,u))) = K(x \ y,T(y \ (x * z),u)). [hyper(171,a,6105,a(flip),b,9763,a(flip)),flip(a)]. 9765 T((x * (((x \ y) \ z) \ z)) / y,u) = (y * K(x \ y,y \ (x * T(z,u)))) / y. [para(9764(a,2),6683(a,2,1,2))]. 9766 T((x * (((x \ y) \ z) \ z)) / y,u) = (K((x * T(z,u)) / y,x \ y) \ y) / y. [para(4475(a,2),9765(a,2,1))]. 9767 T((x * (((x \ y) \ z) \ z)) / y,u) = K(x \ y,(x * T(z,u)) / y). [hyper(171,a,3044,a(flip),b,9766,a)]. 9769 T((x * (((x \ y) \ z) \ z)) / y,u) = K(x \ y,y \ (T(z,u) * x)). [hyper(171,a,8450,a(flip),b,9767,a)]. 9770 K(x \ y,y \ (T(z,K(u,w)) * x)) = (x * (((x \ y) \ z) \ z)) / y. [hyper(9186,a,9769,a),flip(a)]. 9771 (x * (((x \ y) \ z) \ z)) / y = K(x \ y,y \ (z * x)). [hyper(171,a,9753,a(flip),b,9770,a(flip))]. 9772 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = K(x \ y,y \ (z * x)) \ 1. [para(9771(a,1),9184(a,2,1))]. 9773 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = K(y \ (z * x),x \ y). [hyper(171,a,2978,a(flip),b,9772,a)]. 9774 K(T(x,x \ 1) \ L(x,y,z),x * (L(1 / (1 / x),y,z) \ u)) \ K(T(x,x \ 1),K(L(x,y,z),u)) = K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)). [para(7484(a,1),9773(a,1,1,2))]. 9775 K(x,(y * K(z,T(u,w))) \ v5) = K(x,y \ (K(z,T(u,w)) \ v5)). [para(14(a,1),9762(a,1,2,1))]. 9776 (K(x,K(y,L(z,u,w))) * (1 / T(z,y))) \ K(y,T(z,L(x,v5,v6))) = z. [hyper(171,a,9599,a(flip),b,9563,a)]. 9779 (K(x,K(y,z)) * (1 / T(z,y))) \ K(y,T(z,L(x,u,w))) = z. [para(225(a,1),9776(a,1,1,1,2,2))]. 9780 (1 / T(T(x,K(y,z)),z)) \ K(z,T(x,L(y,u,w))) = x. [para(9664(a,1),9779(a,1,1))]. 9781 (1 / T(x,T(y,z))) \ K(y,T(x,L(z,u,w))) = x. [para(4332(a,1),9780(a,1,1,2))]. 9782 T(x,T(y,z)) * K(y,T(x,L(z,u,w))) = x. [hyper(8136,a,9781,a)]. 9783 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [hyper(4029,a,9782,a),flip(a)]. 9785 K(x,T(y * (K(z,T(u,y)) * w),w)) = K(x,(w * K(z,u)) * y). [hyper(171,a,9730,a(flip),b,9783,a(flip))]. 9787 K(x,(K(y,T(z,u)) * w) * u) = K(x,(w * K(y,z)) * u). [hyper(8943,a,9785,a)]. 9789 (K(x,y) * (z * (K(y,T(x,z)) * u))) * a(x,z,K(u,y)) = z * L(u,K(y,x),K(x,y) * z). [para(3905(a,1),9678(a,1,2,3))]. 9791 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(x,y) * K(y,x),y)) = L(K(x,y),u,w) * z. [para(9692(a,1),9735(a,1,2,3))]. 9792 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(1,y)) = L(K(x,y),u,w) * z. [para(2980(a,1),9791(a,1,2,3,1))]. 9794 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * 1 = L(K(x,y),u,w) * z. [para(232(a,1),9792(a,1,2))]. 9796 K(x,y) * (z * (K(y,x) * L(K(x,y),u,w))) = L(K(x,y),u,w) * z. [hyper(77,a,9794,a)]. 9798 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(8113(a,1),9796(a,1,2,2))]. 9799 L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. [para(9798(a,1),8403(a,1,2,1))]. 9800 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(9577(a,1),9799(a,1,1))]. 9801 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(9634(a,1),9800(a,1,2))]. 9802 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(3071,a,9801,a)]. 9803 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [hyper(171,a,8117,a(flip),b,9802,a(flip))]. 9804 a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). [hyper(2796,a,9803,a),flip(a)]. 9805 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(9716(a,1),9804(a,1,2,2))]. 9806 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(2793(a,2),9805(a,1,2)),flip(a)]. 9808 x \ (y * T((a(z,u,K(w,v5)) * (y \ x)) * a(v5,u,K(w,z)),v6)) = K((x \ (y * a(v5,u,K(w,z)))) \ 1,v6). [para(9806(a,2),8229(a,1,2,2))]. 9809 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(9642(a,1),9808(a,1,2,2,1)),flip(a)]. 9810 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [hyper(171,a,2932,a(flip),b,9809,a)]. 9812 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(171,a,9707,a(flip),b,9810,a(flip))]. 9814 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(171,a,4880,a(flip),b,9812,a(flip))]. 9815 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(3305,a,9814,a)]. 9816 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(171,a,3256,a(flip),b,9815,a)]. 9817 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(9736(a,1),9816(a,1,1,2))]. 9818 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(171,a,9737,a(flip),b,9817,a(flip)),flip(a)]. 9820 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(171,a,9659,a(flip),b,9818,a)]. 9821 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),9820(a,2,1,2,2))]. 9822 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). [hyper(171,a,9660,a,b,9821,a(flip)),flip(a)]. 9825 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). [hyper(171,a,9652,a(flip),b,9822,a)]. 9826 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(3048(a,1),9825(a,2,1,2))]. 9827 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(2978(a,1),9826(a,1,1,2,1,2,1))]. 9828 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(6440(a,1),9827(a,1,1,2,1))]. 9830 K(x \ (y * a(z,u,K(w,v5))),v6) = K(x \ y,v6). [para(9643(a,1),9828(a,1,1,2))]. 9831 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(82(a,1),9830(a,1,1,2))]. 9832 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(9670,a,9831,a),flip(a)]. 9833 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(144(a,1),9832(a,1,1))]. 9834 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(4585,a,9833,a)]. 9835 K(L(x,K(y,z),u),w) = K(x,w). [hyper(8745,a,9834,a)]. 9836 L(K(x,y),K(z,u),w) = K(x,y). [hyper(7019,a,9835,a)]. 9841 K(x / (K(y,z) \ u),w) = K((x / u) * K(y,z),w). [hyper(171,a,8445,a(flip),b,9835,a(flip)),flip(a)]. 9842 K((x * K(y,z)) \ u,w) = K(K(y,z) \ (x \ u),w). [para(169(a,1),9835(a,1,1))]. 9847 K(x,(y * K(z,u)) \ w) = K(x,K(z,u) \ (y \ w)). [hyper(171,a,6961,a(flip),b,9836,a(flip)),flip(a)]. 9856 K(x / (K(y,z) \ u),w) = K(K(z,y) \ (x / u),w). [hyper(171,a,8750,a,b,9841,a)]. 9857 K(x / (K(y,z) \ u),w) != v5 | K(K(z,y) \ (x / u),w) = v5. [para(9841(a,2),9758(a,1))]. 9858 K(K(x,y) \ (z \ u),T(w,z)) = K(u / (K(y,x) \ z),w). [hyper(9100,a,9842,a),flip(a)]. 9859 K(x / (y * K(z,u)),T(w,K(u,z) \ y)) = K(K(z,u) \ (y \ x),w). [hyper(171,a,8777,a,b,9842,a(flip)),flip(a)]. 9860 K(x,K(y,T(z,u)) \ (w \ v5)) = K(x,w \ (K(y,T(z,u)) \ v5)). [hyper(171,a,9775,a(flip),b,9847,a(flip))]. 9861 K(x / (y * K(z,u)),w) = K(K(z,u) \ (x / y),w). [hyper(171,a,8861,a(flip),b,9856,a(flip)),flip(a)]. 9862 K(x / (y * L(K(z,u),w,v5)),v6) = K(K(z,L(u,w,v5)) \ (x / y),v6). [para(6953(a,2),9861(a,1,1,2,2))]. 9863 K(K(x,y) \ (z \ u),T(w,z)) != v5 | K(K(x,y) \ (u / z),w) = v5. [para(9858(a,2),9857(a,1))]. 9864 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(u,z) \ (y \ v5)). [hyper(9750,a,9860,a),flip(a)]. 9865 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,y) \ w)). [hyper(171,a,9755,a(flip),b,9864,a(flip))]. 9866 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(y,z) \ w)). [hyper(8817,a,9865,a)]. 9868 K(x,y \ (K(L(z,u,w),v5) \ v6)) = K(x,K(v5,z) \ (y \ v6)). [hyper(171,a,9694,a(flip),b,9866,a(flip))]. 9869 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,K(y,z) \ (v5 \ v6)). [hyper(171,a,9658,a,b,9868,a(flip)),flip(a)]. 9871 K(x / (K(y,z) \ u),T(w,K(y,z) \ u)) = K(K(z,y) \ (u \ x),w). [hyper(8867,a,9859,a)]. 9872 K(x / (y * L(K(z,u),w,v5)),v6) = K(L(K(z,u),w,v5) \ (x / y),v6). [para(6953(a,2),9862(a,2,1,1))]. 9873 K((K(x,y) \ z) \ u,w) = K(K(y,x) \ (z \ u),w). [hyper(4749,a,9871,a)]. 9874 K(K(x,T(y,z)) \ (u \ T(y,T(z,w))),T(v5,u)) = K((T(T(y,x),T(z,w)) * K(x,T(y,z))) / (u * K(x,T(y,z))),v5). [hyper(171,a,9188,a(flip),b,9873,a(flip))]. 9875 K(x / (y * L(K(z,u),w,v5)),v6) = K(K(z,u) \ (x / y),v6). [hyper(171,a,9695,a(flip),b,9872,a)]. 9877 K((L(K(x,y),z,u) \ y) / w,v5) = K(K(x,y) \ (y / w),v5). [hyper(171,a,9625,a,b,9875,a(flip)),flip(a)]. 9879 K((L(K(x,y),z,u) \ y) / w,v5) = K(T(y,x) / w,v5). [hyper(171,a,8187,a(flip),b,9877,a)]. 9880 K(T(x,L(y,z,u)) / w,v5) = K(T(x,y) / w,v5). [para(7024(a,1),9879(a,1,1,1))]. 9881 K((T(T(x,y),T(z,u)) * K(y,T(x,z))) / (w * K(y,T(x,z))),v5) = K(K(y,T(x,z)) \ (T(x,T(z,u)) / w),v5). [hyper(9863,a,9874,a),flip(a)]. 9882 K((T(T(x,y),T(z,u)) * K(y,T(x,z))) / (w * K(y,T(x,z))),v5) = K(K(y,x) \ (T(x,T(z,u)) / w),v5). [hyper(171,a,9748,a(flip),b,9881,a)]. 9884 K(K(x,y) \ (T(y,T(z,u)) / w),v5) = K(T(T(y,x),T(z,u)) / w,v5). [hyper(171,a,9626,a(flip),b,9882,a(flip))]. 9886 K(T(T(x,y \ 1),T(z,u)) / y,w) = K(T(x,z) * ((T(x,T(z,u)) / y) / T(x,T(z,u))),w). [hyper(171,a,9342,a(flip),b,9884,a(flip))]. 9887 K(T(T(x,y \ 1),z) / y,u) = K(T(x,z) * ((T(x,T(z,w)) / y) / T(x,T(z,w))),u). [hyper(8866,a,9886,a)]. 9888 K(T(T(x,y \ 1),z) / y,u) = K(T(x,T(z,w)) / y,T(u,x)). [hyper(171,a,8933,a(flip),b,9887,a)]. 9890 K(x \ T(y,T(z,u)),w) = K(T(T(y,x \ 1),z) / x,w). [hyper(171,a,8757,a(flip),b,9888,a),flip(a)]. 9891 K(T(T(x,y \ 1),z) / y,u) = K(y \ T(x,z),u). [para(99(a,1),9890(a,1,1,2,2)),flip(a)]. 9892 K(x \ T(y,L(z,u,w)),v5) = K(T(T(y,x \ 1),z) / x,v5). [hyper(171,a,9880,a(flip),b,9891,a(flip))]. 9893 K(x \ T(y,L(z,u,w)),v5) = K(x \ T(y,z),v5). [hyper(171,a,9891,a(flip),b,9892,a)]. 9894 K(x \ T(L(y,z,u) \ w,y),v5) = K(x \ (w / L(y,z,u)),v5). [hyper(171,a,8609,a(flip),b,9893,a(flip))]. 9895 K(x \ (y / L(z,u,w)),z) = K(x \ (L(z,u,w) \ y),z). [hyper(3554,a,9894,a),flip(a)]. 9896 K((x * L(y,z,u)) \ w,y) = K(x \ (L(y,z,u) \ w),y). [hyper(9061,a,9895,a)]. 9897 K(T(x,y) / (L(z,u,w) * y),z) = K(y \ (L(z,u,w) \ x),z). [hyper(171,a,8431,a,b,9896,a(flip)),flip(a)]. 9898 K(x \ (L(y,z,u) \ w),y) = K(y \ (T(w,x) / x),y). [hyper(7057,a,9897,a),flip(a)]. 9899 K(x \ (L(y,z,u) \ w),y) = K(y \ (x \ w),y). [hyper(171,a,9121,a(flip),b,9898,a)]. 9900 L(K(x \ ((y \ x) \ z),x),y \ 1,y) = K(x \ (y * (L(x,u,w) \ z)),x). [para(9899(a,1),7103(a,1,1))]. 9901 K(x,L(y \ (L(T(z,K(u,w)),v5,v6) * v7),y,L(K(v7,T(z,K(u,w))),v5,v6))) = K(x,(K(L(T(z,K(u,w)),v5,v6),v7) \ y) \ (v7 * L(z,v5,v6))). [para(6953(a,2),9760(a,1,2,3))]. 9902 K(x,L(y \ (L(T(z,K(u,w)),v5,v6) * v7),y,L(K(v7,z),v5,v6))) = K(x,(K(L(T(z,K(u,w)),v5,v6),v7) \ y) \ (v7 * L(z,v5,v6))). [para(8712(a,1),9901(a,1,2,3,1))]. 9903 L(K(x,y \ (L(T(z,K(u,w)),v5,v6) * v7)),y,L(K(v7,z),v5,v6)) = K(x,(K(L(T(z,K(u,w)),v5,v6),v7) \ y) \ (v7 * L(z,v5,v6))). [hyper(6954,a,9902,a)]. 9905 L(K(x,y \ (L(z,u,w) * v5)),y,L(K(v5,z),u,w)) = K(x,(K(L(T(z,K(v6,v7)),u,w),v5) \ y) \ (v5 * L(z,u,w))). [para(9756(a,1),9903(a,1,1))]. 9906 K(x,(K(L(T(y,K(z,u)),w,v5),v6) \ v7) \ (v6 * L(y,w,v5))) = K(x,v7 \ (L(y,w,v5) * v6)). [hyper(9639,a,9905,a),flip(a)]. 9909 K(x,(L(K(T(y,K(z,u)),w),v5,v6) \ v7) \ (w * L(y,v5,v6))) = K(x,v7 \ (L(y,v5,v6) * w)). [para(7010(a,2),9906(a,1,2,1,1))]. 9910 K(x,(L(K(y,z),u,w) \ v5) \ (z * L(y,u,w))) = K(x,v5 \ (L(y,u,w) * z)). [para(1201(a,1),9909(a,1,2,1,1,1,1))]. 9911 K(x,K(y,z) \ (u \ (z * L(y,w,v5)))) = K(x,u \ (L(y,w,v5) * z)). [hyper(171,a,9869,a(flip),b,9910,a(flip)),flip(a)]. 9912 K(x,y \ (L(x,z,u) * w)) = K(x,y \ (w * L(x,z,u))). [hyper(3933,a,9911,a),flip(a)]. 9914 K(x,y \ (L(x,z,u) * w)) != v5 | K(x,y \ (w * L(x,z,u))) = v5. [para(9911(a,1),3933(a,1))]. 9915 L(K(x,(y \ z) \ L(x,u,w)),y \ z,y) = K(x,z \ (L(x,u,w) * y)). [hyper(171,a,6962,a,b,9912,a),flip(a)]. 9916 L(K(x,(y \ z) \ x),y \ z,y) = K(x,z \ (L(x,u,w) * y)). [para(8210(a,1),9915(a,1,1))]. 9917 K(x,y \ (L(x,z,u) * w)) = K(x,y \ (w * x)). [hyper(171,a,6962,a(flip),b,9916,a(flip))]. 9919 K(x,y \ (z * L(x,u,w))) = K(x,y \ (z * x)). [hyper(9914,a,9917,a)]. 9921 K(x,y \ ((z * u) * x)) = K(x,y \ (z * (u * x))). [para(89(a,1),9919(a,1,2,2)),flip(a)]. 9922 K(x,(x * y) \ (z * (u * x))) = K(x,y \ (z * u)). [hyper(171,a,5345,a(flip),b,9921,a(flip))]. 9923 K(x,y \ (x \ (z * (u * x)))) = K(x,y \ (z * u)). [hyper(6156,a,9922,a)]. 9924 K(x,y \ (x \ (z * u))) = K(x,y \ (z * (u / x))). [para(16(a,1),9923(a,1,2,2,2,2))]. 9925 K(x,y \ (x \ (z * u))) = K(x,y \ (z * (x \ u))). [hyper(171,a,6100,a(flip),b,9924,a)]. 9926 (x * K(y,z \ (y \ (u * w)))) \ x = K(z \ (u * (y \ w)),y). [para(9925(a,2),3759(a,1,1,2))]. 9927 K(x \ (y \ (z * u)),y) = K(x \ (z * (y \ u)),y). [hyper(3773,a,9926,a)]. 9928 L(K(x \ ((y \ x) \ z),x),y \ 1,y) = K(x \ (x \ (y * z)),x). [hyper(171,a,7104,a,b,9927,a),flip(a)]. 9929 K(x \ (y * (L(x,z,u) \ w)),x) = K(x \ (x \ (y * w)),x). [hyper(171,a,9900,a(flip),b,9928,a(flip)),flip(a)]. 9930 K(x \ (x \ (y * (z * x))),x) = K(y * (L(x,u,w) \ z),x). [hyper(171,a,6892,a(flip),b,9929,a(flip))]. 9931 K(x * (L(y,z,u) \ w),y) = K(y \ (x * w),y). [hyper(6949,a,9930,a),flip(a)]. 9933 K((x \ 1) * L(x,y,z),x * (L(1 / (1 / x),y,z) \ u)) \ K(T(x,x \ 1),K(L(x,y,z),u)) = K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)). [para(1671(a,1),9774(a,1,1,1))]. 9934 K((x \ 1) * L(x,y,z),L(x,y,z) \ (((x \ 1) \ 1) * u)) \ K(T(x,x \ 1),K(L(x,y,z),u)) = K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)). [para(7485(a,2),9933(a,1,1,2))]. 9935 K((x \ 1) * L(x,y,z),L(x,y,z) \ (x * u)) \ K(T(x,x \ 1),K(L(x,y,z),u)) = K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)). [para(723(a,1),9934(a,1,1,2,2,1))]. 9936 K(x \ L(x,y,z),L(x,y,z) \ (x * u)) \ K(T(x,x \ 1),K(L(x,y,z),u)) = K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)). [para(8121(a,1),9935(a,1,1))]. 9937 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(u,a(z,y,x)) \ K(T(x,x \ 1),K(L(x,y,z),u)). [para(9176(a,1),9936(a,1,1)),flip(a)]. 9938 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(u,a(z,y,x)) \ K(T(x,x \ 1),L(K(x,u),y,z)). [para(7010(a,2),9937(a,2,2,2))]. 9939 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(u,a(z,y,x)) \ L(K(T(x,x \ 1),K(x,u)),y,z). [para(6953(a,2),9938(a,2,2))]. 9940 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(u,a(z,y,x)) \ L(1,y,z). [para(2898(a,1),9939(a,2,2,1))]. 9941 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(u,a(z,y,x)) \ 1. [para(228(a,1),9940(a,2,2))]. 9943 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(a(z,y,x),u). [hyper(171,a,2978,a(flip),b,9941,a)]. 9945 K(L(x,y,z) \ (u * T(x,x \ 1)),x \ L(x,y,z)) = K(a(z,y,x),u). [hyper(3586,a,9943,a)]. 9946 K(L(x,y,z) \ (u * T(x,1)),x \ L(x,y,z)) = K(a(z,y,x),u). [hyper(171,a,8898,a(flip),b,9945,a(flip)),flip(a)]. 9947 K(L(x,y,z) \ (u * x),x \ L(x,y,z)) = K(a(z,y,x),u). [para(120(a,1),9946(a,1,1,2,2))]. 9948 K(a(x,y,z),u * L(z,y,x)) = K(z * u,z \ L(z,y,x)). [hyper(171,a,8915,a(flip),b,9947,a(flip))]. 9949 K(a(x,y,z),u * L(z,y,x)) = K(u,z \ L(z,y,x)). [hyper(171,a,8537,a(flip),b,9948,a)]. 9950 K(a(x,y,z),L(z,y,x) * u) = K(u,z \ L(z,y,x)). [hyper(9629,a,9949,a)]. 9951 K(x,y \ L(y,z,u)) = a(K(x,y),z,u). [hyper(171,a,9093,a(flip),b,9949,a(flip))]. 9952 K(L(x,y,z) \ u,x \ L(x,y,z)) = K(a(z,y,x),u). [para(14(a,1),9950(a,1,2)),flip(a)]. 9953 K(a(x,y,z),u * z) = K(a(x,y,z),u). [hyper(171,a,9947,a(flip),b,9952,a(flip))]. 9954 K(L(x,y,z) \ x,(L(x,y,z) \ x) \ (u * (L(x,y,z) \ (x * x)))) = K(a(z,y,x),u). [hyper(171,a,7211,a,b,9953,a(flip)),flip(a)]. 9956 K(L(x,y,z) \ x,x \ (L(x,y,z) * (u * (L(x,y,z) \ (x * x))))) = K(a(z,y,x),u). [hyper(171,a,6060,a(flip),b,9954,a(flip)),flip(a)]. 9957 K(x * (L(y,z,u) \ (y * y)),y \ L(y,z,u)) = K(a(u,z,y),x). [hyper(9175,a,9956,a)]. 9958 a(K(x * (L(y,z,u) \ (y * y)),y),z,u) = K(a(u,z,y),x). [hyper(171,a,9951,a(flip),b,9957,a(flip)),flip(a)]. 9959 a(K(x \ (y * (x * x)),x),z,u) = K(a(u,z,x),y). [para(9931(a,1),9958(a,1,1))]. 9960 a(K(x * y,y),z,u) = K(a(u,z,y),x). [para(6875(a,1),9959(a,1,1))]. 9962 a(K(x,y),z,u) = K(a(u,z,y),x). [hyper(171,a,3186,a(flip),b,9960,a(flip)),flip(a)]. 9963 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(8219,a,9962,a)]. 9964 a(x,y,K(z,T(u,w))) = T(K(a(x,y,z),u),w). [hyper(171,a,3934,a(flip),b,9963,a)]. 9965 a(x,y,K(z,u)) * (u \ w) = T(u,a(x,y,z)) \ w. [para(9963(a,2),3052(a,1,1))]. 9966 K(x,y) * (a(z,u,K(w,T(v5,K(v6,v7) * v8))) * v8) = (K(x,y) * v8) * K(a(z,u,w),v5). [para(9963(a,2),9655(a,1,2,1))]. 9967 a(x,y,K(z,T(u,w))) = T(a(x,y,K(z,u)),w). [para(9963(a,2),9964(a,2,1))]. 9968 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(171,a,9611,a(flip),b,9967,a)]. 9971 a(x,y,K(z,u)) * (u \ w) = L(u,y,K(z,x)) \ w. [para(8521(a,2),9965(a,2,1))]. 9972 L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). [hyper(127,a,9971,a),flip(a)]. 9974 (K(x,y) * z) * K(a(u,w,v5),v6) = K(x,y) * (a(u,w,K(v5,v6)) * z). [para(9968(a,1),9966(a,1,2,1)),flip(a)]. 9975 (K(x,y) * z) * a(u,w,K(v5,v6)) = K(x,y) * (a(u,w,K(v5,v6)) * z). [para(9963(a,2),9974(a,1,2))]. 9977 K(x,y) * (a(x,z,K(u,y)) * (z * (K(y,T(x,z)) * u))) = z * L(u,K(y,x),K(x,y) * z). [hyper(171,a,9789,a(flip),b,9975,a(flip))]. 9978 K(x,y) * (a(x,z,K(u,y)) * (z * (K(y,T(x,z)) * u))) = (z * K(x,y)) * (K(y,x) * u). [hyper(171,a,9641,a(flip),b,9977,a)]. 9979 K(x,L(y,z,u)) * (z * (K(y,T(x,z)) * u)) = (z * K(x,y)) * (K(y,x) * u). [hyper(8269,a,9978,a)]. 9980 (x * K(y,z)) * (K(z,y) * u) = x * L(u,K(z,y),x). [hyper(171,a,8493,a(flip),b,9979,a(flip))]. 9981 R(x * (K(y,z) * (K(z,y) * u)),x,K(y,z)) = x * L(u,K(z,y),x). [hyper(1672,a,9980,a)]. 9982 (x * L(y,K(z,u),x)) \ (((x * K(u,z)) * K(z,u)) * y) = a(x * K(u,z),K(z,u),y). [para(9980(a,1),24(a,2,1)),flip(a)]. 9983 (K(x,y) \ z) * L(u,K(y,x),K(x,y) \ z) = T(z,K(x,y)) * (K(y,x) * u). [para(709(a,2),9980(a,1,1)),flip(a)]. 9984 R(x * y,x,K(z,u)) = x * L(y,K(u,z),x). [para(3048(a,1),9981(a,1,1,2))]. 9985 L(x * y,x,K(z,u)) = x * L(y,K(u,z),x). [hyper(171,a,8487,a(flip),b,9984,a(flip)),flip(a)]. 9986 K(x,(K(y,z) \ u) * L(w,K(z,y),K(y,z) \ u)) = K(x,L((K(y,z) \ u) * w,u,K(y,z))). [para(9985(a,1),8256(a,1,2))]. 9987 L(x * y,x,K(z,u)) \ (((x * K(z,u)) * K(u,z)) * y) = a(x * K(z,u),K(u,z),y). [para(9985(a,2),9982(a,1,1))]. 9988 a(x * K(y,z),K(z,y),u) = L(x * u,x,K(y,z)) \ (x * u). [para(3761(a,1),9987(a,1,2,1)),flip(a)]. 9989 a(x * K(y,z),K(z,y),u) = a(z,x,K(y,x * u)). [hyper(171,a,9972,a(flip),b,9988,a)]. 9990 a(x,y * K(x,z),K(z,(y * K(x,z)) * u)) = a(y,K(x,z),u). [para(3761(a,1),9989(a,1,1)),flip(a)]. 9991 K(x,L((K(y,z) \ u) * w,u,K(y,z))) = K(x,T(u,K(y,z)) * (K(z,y) * w)). [para(9983(a,1),9986(a,1,2)),flip(a)]. 9992 K(x,L((K(y,z) \ u) * w,u,K(y,z))) = K(x,u * (K(z,y) * w)). [hyper(171,a,8844,a(flip),b,9991,a)]. 9994 K(x,L((K(y,z) * u) * w,u,K(z,y))) = K(x,u * (K(y,z) * w)). [para(3043(a,1),9992(a,1,2,1,1))]. 9995 K(x,(K(y,z) * u) * w) = K(x,u * (K(y,z) * w)). [hyper(9635,a,9994,a)]. 9997 K(x,y * (K(z,T(u,w)) * w)) = K(x,(y * K(z,u)) * w). [hyper(171,a,9787,a(flip),b,9995,a(flip))]. 9998 K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). [para(4386(a,1),9997(a,1,2,2)),flip(a)]. 9999 a(x,y * K(x,z),K(z,y * (u * K(x,z)))) = a(y,K(x,z),u). [para(9998(a,1),9990(a,1,3))]. 10000 a(x,y * K(x,z),K(z,y * u)) = a(y,K(x,z),u). [para(6181(a,1),9999(a,1,3))]. 10001 a(x,y,K(z,y * u)) = a(y,K(x,z),u). [hyper(7089,a,10000,a)]. 10004 a(x,K(y,z),z * u) = a(y,z,K(u,x)). [hyper(171,a,8514,a(flip),b,10001,a(flip))]. 10005 a(x,K(y,z),z * u) = a(y,x,K(z,x * u)). [para(6864(a,1),10001(a,1,3)),flip(a)]. 10006 a(x,K(y,z),z * u) = a(x,K(y,z),u). [hyper(171,a,10001,a(flip),b,10005,a)]. 10007 a(x,K(y,z),u) = a(y,z,K(u,x)). [hyper(171,a,10004,a(flip),b,10006,a(flip))]. 10008 $F # answer("aK2_eq_aK3"). [resolve(10007,a,49,a)]. ============================== end of proof ==========================