============================== prooftrans ============================ Prover9 (64) version 2017-09A, September 2017. Process 2736 was started by veroff on b146-05, Thu Dec 31 08:43:02 2020 The command was "prover9 -f nil4_19K.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 3423.54 (+ 148.95) seconds: "nil4 19K". % Length of proof is 14350. % Level of proof is 889. % Maximum clause weight is 1020.000 (71 w/o degradation). % Given clauses 16197 (18.219 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 K(a(x,a(y,K(z,u),w),v5),v6) = 1 # label("nil4 19K") # 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 K(a(c1,a(c2,K(c3,c4),c5),c6),c7) != 1 # label("nil4 19K") # answer("nil4 19K"). [deny(10)]. 48 1 \ x = x. [para(11(a,1),13(a,1,2))]. 49 x \ x = 1. [para(12(a,1),13(a,1,2))]. 50 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. 51 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. 52 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. 53 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. 54 x / x = 1. [para(11(a,1),15(a,1,1))]. 55 x / 1 = x. [para(12(a,1),15(a,1,1))]. 56 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. 57 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. 58 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. 59 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. 60 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. 61 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. 62 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. 63 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. 64 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. 65 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. 66 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. 67 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. 68 1 * x != y | x = y. [para(11(a,1),19(a,2))]. 69 x * y != x | 1 = y. [para(12(a,1),19(a,1)),flip(a)]. 70 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. 71 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. 72 x * (x \ (y * z)) != y * u | u = z. [para(14(a,2),19(a,2)),flip(a)]. 73 (x / y) * z != x | z = y. [para(16(a,1),19(a,2))]. 74 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. 75 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. 76 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. 77 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. 78 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. 79 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. 80 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. 81 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. 82 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. 83 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(16(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 \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. 88 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. 89 x \ (1 * (x * y)) = L(y,x,1). [para(11(a,1),28(a,2,1)),flip(a)]. 90 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. 91 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. 92 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. 93 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. 94 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. 95 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(16(a,1),28(a,2,1)),flip(a)]. 96 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. 97 (x * y) / (x * y) = R(1,x,y). [para(11(a,1),30(a,2,1,1)),flip(a)]. 98 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. 99 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. 100 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. 101 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. 102 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. 103 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. 104 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. 105 T(x,x) = x. [para(32(a,2),13(a,1))]. 106 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. 107 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. 108 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. 109 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)]. 110 (x * (x \ 1)) \ y = y. [para(14(a,2),48(a,1,1))]. 111 ((1 / x) * x) \ y = y. [para(16(a,2),48(a,1,1))]. 112 T(x,1) = x * 1. [para(48(a,1),32(a,2))]. 113 K(x,x) = 1. [para(49(a,1),26(a,2))]. 114 (x \ x) \ y = y. [para(49(a,2),48(a,1,1))]. 115 x / (y * (y \ 1)) = x. [para(14(a,2),55(a,1,2))]. 116 x / ((1 / y) * y) = x. [para(16(a,2),55(a,1,2))]. 117 T(T(x,y),x) = T(x,y). [para(105(a,1),38(a,1,1)),flip(a)]. 118 T(L(x,y,z),x) = L(x,y,z). [para(105(a,1),40(a,1,1)),flip(a)]. 119 x * K(y,y) = x. [para(113(a,2),12(a,1,2))]. 120 (x / (y \ x)) * z = y * z. [hyper(22,a,57,a)]. 121 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),57(a,1,2))]. 123 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),57(a,1,2))]. 124 (x * y) / T(x,y) = y. [para(32(a,2),57(a,1,2))]. 125 x / (y / ((z \ x) \ y)) = z. [para(57(a,2),57(a,1,2))]. 126 ((x / y) \ x) * z = y * z. [hyper(22,a,60,a)]. 127 x * ((y / (x \ z)) \ y) = z. [para(60(a,2),14(a,1,2))]. 128 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),60(a,1,1))]. 129 ((x / (y / z)) \ x) \ y = z. [para(60(a,2),60(a,1,1))]. 130 T(x,1) = x. [hyper(18,a,12,a,b,112,a(flip)),flip(a)]. 131 K(x,1) = 1. [hyper(36,a,130,a)]. 132 T(1,x) = 1. [hyper(35,a,130,a)]. 133 T(x,y \ y) = x. [para(49(a,2),130(a,1,2))]. 134 K(1,x) = 1. [hyper(36,a,132,a)]. 135 ((1 / x) * x) * y != z | y = z. [para(16(a,2),68(a,1,1))]. 136 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),74(a,1,2))]. 137 T(x,1) != y | y = x. [para(112(a,2),74(a,1))]. 138 x * (y \ y) != z | x = z. [para(49(a,2),75(a,1,2))]. 139 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(51(a,1),30(a,2,1))]. 140 L(x \ 1,x,y) = (y * x) \ y. [para(52(a,1),28(a,2,2))]. 141 R(1 / x,x,y) = y / (x * y). [para(58(a,1),30(a,2,1))]. 142 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(59(a,1),24(a,2,1)),flip(a)]. 143 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(59(a,1),28(a,2,2))]. 144 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,106,a)]. 145 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,106,a(flip)),flip(a)]. 146 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,106,a(flip)),flip(a)]. 147 (x \ y) * T(x,x \ y) = y. [para(106(a,2),14(a,1))]. 148 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),106(a,1,2))]. 149 x * T(y / x,x) = y. [para(106(a,2),16(a,1))]. 150 x * y != z | y * u != z | T(x,y) = u. [para(106(a,1),17(a,1)),flip(c)]. 151 x * y != z * x | T(z,x) = y. [para(106(a,1),19(a,1)),flip(a)]. 152 x * T(y,x) != z * x | z = y. [para(106(a,2),20(a,2)),flip(a)]. 153 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(106(a,1),24(a,2,1,2)),flip(a)]. 154 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(106(a,1),24(a,2,2,1)),flip(a)]. 155 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(106(a,1),26(a,2,1)),flip(a)]. 156 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(106(a,1),28(a,2,1)),flip(a)]. 157 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(106(a,1),28(a,2,2,2)),flip(a)]. 158 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(106(a,1),30(a,2,1,1)),flip(a)]. 159 T(x,y) \ (x * y) = T(y,T(x,y)). [para(106(a,1),32(a,2,2)),flip(a)]. 160 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),106(a,1,2))]. 161 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),106(a,1,2))]. 162 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),106(a,1,2))]. 163 T(T(x / y,z),y) = T(y \ x,z). [para(108(a,1),38(a,1,1)),flip(a)]. 164 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(108(a,1),40(a,1,1)),flip(a)]. 165 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(108(a,1),42(a,1,1)),flip(a)]. 166 T(x / (x / y),x / y) = y. [para(108(a,2),60(a,1))]. 167 K(x \ 1,x) = (x \ 1) * x. [para(110(a,1),26(a,2))]. 168 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(110(a,1),28(a,2)),flip(a)]. 169 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(111(a,1),24(a,2)),flip(a)]. 170 K(x,1 / x) = x * (1 / x). [para(111(a,1),26(a,2))]. 171 (1 / x) * (x * y) = L(y,x,1 / x). [para(111(a,1),28(a,2)),flip(a)]. 172 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(115(a,1),30(a,2)),flip(a)]. 173 (x * (1 / y)) * y = R(x,1 / y,y). [para(116(a,1),30(a,2)),flip(a)]. 174 T(x,T(x,y)) = x. [hyper(35,a,117,a)]. 175 T(x,y) * x = x * T(x,y). [para(117(a,1),106(a,1,2)),flip(a)]. 176 x / T(y,y \ x) = y \ x. [para(14(a,1),124(a,1,1))]. 177 (T(x,y) * z) / T(T(x,z),y) = z. [para(38(a,1),124(a,1,2))]. 178 (x * y) / T(y,T(x,y)) = T(x,y). [para(106(a,1),124(a,1,1))]. 179 T(T((x * y) / x,z),x) = T(y,z). [para(144(a,1),38(a,1,1)),flip(a)]. 180 T((x * y) / x,y) = (x * y) / x. [para(144(a,1),174(a,1,2))]. 181 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),145(a,1,1,2))]. 182 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(40(a,2),146(a,1,2,2))]. 183 x != y | y / 1 = x. [para(12(a,1),77(a,1))]. 184 (x / y) \ x = y / 1. [hyper(183,a,60,a),flip(a)]. 185 x / 1 = 1 * x. [hyper(183,a,11,a)]. 186 x / 1 != y | y = x. [para(185(a,2),67(a,1))]. 187 x / 1 != y | x = y. [para(185(a,2),68(a,1))]. 189 (x / y) \ x != z | z = y. [para(184(a,2),186(a,1))]. 190 x \ x != y | 1 = y. [para(11(a,1),138(a,1))]. 191 x \ (x * y) != z | z = y. [para(15(a,1),189(a,1,1))]. 192 1 \ x != y | y = x. [para(54(a,1),189(a,1,1))]. 193 x \ (y * x) != z | T(y,x) = z. [para(124(a,1),189(a,1,1)),flip(b)]. 194 ((1 / x) * x) \ y != z | z = y. [para(16(a,2),192(a,1,1))]. 195 T((x * y) / x,x) != z | z = y. [para(108(a,2),191(a,1))]. 196 L(x \ (y \ z),x,y) = (y * x) \ z. [para(53(a,1),28(a,2,2))]. 197 R((x / y) / z,z,y) = x / (z * y). [para(63(a,1),30(a,2,1))]. 198 x != y | z != y | z = x. [para(11(a,1),64(b,1))]. 199 (x / y) \ x = z * (z \ y). [hyper(198,a,60,a,b,14,a),flip(a)]. 200 x / (y \ x) = (y / z) * z. [hyper(198,a,57,a,b,16,a),flip(a)]. 201 x / (y \ x) = z * (z \ y). [hyper(198,a,57,a,b,14,a),flip(a)]. 202 (x * y) / y = (x / z) * z. [hyper(198,a,16,a,b,15,a)]. 203 (x / y) * y = z * (z \ x). [hyper(198,a,16,a,b,14,a),flip(a)]. 204 (x / y) * y = x * 1. [hyper(198,a,16,a,b,12,a),flip(a)]. 205 x \ (x * y) = z * (z \ y). [hyper(198,a,14,a,b,13,a)]. 206 x * (x \ y) = y * 1. [hyper(198,a,14,a,b,12,a),flip(a)]. 207 x * 1 != y * z | x / z = y. [para(204(a,1),20(a,1))]. 208 (x / y) * y != z | z = x. [para(204(a,2),74(a,1))]. 209 x \ (y * (y \ x)) = 1. [hyper(71,a,206,a(flip))]. 210 x * 1 != y * z | y \ x = z. [para(206(a,1),19(a,1))]. 212 x * (x \ y) != z | z = y. [para(206(a,2),74(a,1))]. 214 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),208(a,1,1)),flip(b)]. 215 x * T(y,x) != z | y * x = z. [para(124(a,1),208(a,1,1)),flip(b)]. 216 x * y != z | y * T(x,y) = z. [para(145(a,1),208(a,1,1)),flip(b)]. 217 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),212(a,1,2)),flip(b)]. 219 (x / (y * (y \ z))) * z = x. [hyper(208,a,78,a)]. 220 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(198,a,14,a,b,78,a),flip(a)]. 221 ((x \ y) * x) * K(x,x \ y) = y. [hyper(198,a,14,a(flip),b,84,a)]. 222 x * K(y \ x,y) = (y \ x) * y. [hyper(198,a,80,a(flip),b,84,a(flip)),flip(a)]. 223 x * K(y,x / y) = y * (x / y). [hyper(198,a,79,a(flip),b,84,a(flip)),flip(a)]. 224 (x * y) * z != y * x | K(y,x) = z. [para(84(a,1),19(a,1)),flip(a)]. 226 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(84(a,1),28(a,2,1)),flip(a)]. 227 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(84(a,1),28(a,2,2,2)),flip(a)]. 228 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(84(a,1),30(a,2,1)),flip(a)]. 229 (x * y) \ (y * x) != z | K(y,x) = z. [para(84(a,1),191(a,1,2)),flip(b)]. 230 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,107,a)]. 231 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,107,a)]. 232 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(198,a,14,a,b,107,a(flip))]. 233 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(107(a,1),38(a,1,1)),flip(a)]. 234 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(107(a,1),40(a,1,1)),flip(a)]. 236 T(x,L(x,y,z)) = x. [hyper(35,a,118,a)]. 237 K(x,L(x,y,z)) = 1. [hyper(36,a,236,a)]. 239 x * (((y / x) \ y) \ z) = z. [hyper(212,a,126,a)]. 240 ((x / y) \ x) * (y \ z) = z. [hyper(198,a,14,a(flip),b,126,a)]. 241 (x / y) * ((z / y) \ z) = x. [para(60(a,1),127(a,1,2,1,2))]. 242 (x \ y) * z != y | T(x,x \ y) = z. [para(147(a,1),19(a,1)),flip(a)]. 243 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(147(a,1),28(a,2,2,2))]. 245 T(x / (x / y),(z / (x / y)) \ z) = y. [para(60(a,2),166(a,1,2))]. 246 x * T(x \ 1,x) = K(x \ 1,x). [hyper(198,a,106,a,b,167,a),flip(a)]. 247 (x \ 1) \ K(x \ 1,x) = x. [hyper(71,a,167,a(flip))]. 249 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(167(a,2),24(a,2,1,2)),flip(a)]. 250 x \ K(x \ 1,x) = T(x \ 1,x). [para(167(a,2),32(a,2,2)),flip(a)]. 251 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(170(a,2),28(a,2,1)),flip(a)]. 253 (x / y) \ x != z * u | z \ y = u. [para(199(a,2),19(a,1))]. 254 x / (y \ x) != z | z = y. [para(200(a,2),208(a,1))]. 255 (x * y) / y != z | z = x. [para(13(a,1),254(a,1,2))]. 256 (x * y) / T(x,y) != z | z = y. [para(32(a,2),254(a,1,2))]. 257 x / x != y | 1 = y. [para(48(a,1),254(a,1,2)),flip(b)]. 258 (x * T(y,x)) / x != z | z = y. [para(146(a,1),254(a,1,2))]. 259 (x * (x \ y)) \ z != u | y \ z = u. [para(201(a,1),189(a,1,1)),flip(b)]. 261 ((x / y) * y) * z != u | x * z = u. [para(202(a,1),208(a,1,1)),flip(b)]. 262 (((x / y) * y) / z) \ x = z. [hyper(73,a,203,a(flip))]. 263 x / (y \ ((x / z) * z)) = y. [hyper(18,a,127,a,b,203,a(flip))]. 264 (x / y) * y != z * u | z \ x = u. [para(203(a,2),19(a,1))]. 265 x * (x \ y) != z * u | y / u = z. [para(203(a,1),20(a,1))]. 266 x \ (x * y) != z * u | z \ y = u. [para(205(a,2),19(a,1))]. 267 x * (y * (y \ z)) != u | x * z = u. [para(205(a,1),212(a,1,2)),flip(b)]. 268 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),219(a,1,1))]. 269 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(176(a,1),240(a,1,1,1))]. 270 ((x / y) * y) / z = x / z. [hyper(18,a,203,a(flip),b,241,a)]. 271 x * ((y / z) \ y) != u | u / z = x. [para(241(a,1),20(a,1)),flip(a)]. 272 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(176(a,1),241(a,1,2,1))]. 273 (x \ 1) * x != y | K(x \ 1,x) = y. [para(247(a,1),212(a,1,2)),flip(b)]. 275 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(28(a,2),263(a,1,2))]. 278 x * y != x * z | z = y. [para(12(a,1),70(a,1))]. 280 x \ (x * y) = L(y,x,1). [para(11(a,1),89(a,1,2))]. 281 L(x,y,1) = x. [hyper(191,a,280,a)]. 282 L(x,y,1) = z \ (z * x). [hyper(198,a,13,a,b,281,a)]. 284 x \ (x * y) = L(y,1,x). [para(12(a,1),90(a,1,1))]. 286 L(x,1,y) != z | z = x. [para(284(a,1),191(a,1))]. 288 L(1,x,y) = 1. [hyper(190,a,91,a),flip(a)]. 291 a(x,y,1) = 1. [hyper(34,a,288,a)]. 292 R(1,x,y) = 1. [hyper(257,a,97,a),flip(a)]. 295 (x * y) / y = R(x,1,y). [para(12(a,1),98(a,1,1,1))]. 296 R(x,1,y) = x. [hyper(255,a,295,a)]. 299 (x * y) / y = R(x,y,1). [para(12(a,1),99(a,1,2))]. 300 R(x,y,1) = x. [hyper(255,a,299,a)]. 301 R(x,y,1) != z | z = x. [para(299(a,1),255(a,1))]. 304 L(x \ 1,x,1 / x) = 1 / x. [hyper(198,a,111,a(flip),b,140,a)]. 305 (x * y) * L(y \ 1,y,x) = x. [para(140(a,2),14(a,1,2))]. 306 L((x \ y) \ 1,x \ y,x) = y \ x. [para(14(a,1),140(a,2,1))]. 307 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),140(a,2,1))]. 308 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(140(a,1),40(a,2,1)),flip(a)]. 309 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(140(a,1),44(a,1,1))]. 310 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(140(a,1),45(a,1,1)),flip(a)]. 311 x / L(y \ 1,y,x) = x * y. [para(140(a,2),57(a,1,2))]. 312 L(T(x,x \ 1),x \ 1,y) = (y * (x \ 1)) \ y. [para(107(a,2),140(a,1,1))]. 313 R(1 / x,x,x \ 1) = x \ 1. [hyper(198,a,115,a(flip),b,141,a)]. 314 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(22,a,141,a)]. 315 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),141(a,2,2))]. 316 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),141(a,2,2))]. 317 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(141(a,1),42(a,2,1)),flip(a)]. 318 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(141(a,1),46(a,1,1)),flip(a)]. 319 R(1 / x,x,y) \ y = x * y. [para(141(a,2),60(a,1,1))]. 321 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(13(a,2),151(a,2)),flip(a)]. 322 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(106(a,1),151(a,2))]. 324 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),152(a,1,2)),flip(b)]. 325 K(x,1 / x) != y | x * (1 / x) = y. [para(26(a,2),194(a,1)),flip(b)]. 326 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(28(a,2),194(a,1)),flip(b)]. 327 T(x / y,y) != z | y \ x = z. [para(14(a,1),195(a,1,1,1)),flip(b)]. 330 (x / y) * y != z * u | x / u = z. [para(204(a,2),207(a,1))]. 331 x * (y * (y \ 1)) != z * u | z \ x = u. [para(14(a,2),210(a,1,2))]. 332 x * (x \ y) != z * u | z \ y = u. [para(206(a,2),210(a,1))]. 333 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),215(a,1,2))]. 334 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),215(a,1,2))]. 335 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),215(a,1,2))]. 336 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(304(a,1),40(a,2,1))]. 337 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(305(a,1),28(a,2,2,2))]. 338 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(305(a,1),191(a,1,2)),flip(b)]. 339 x / L(y,1 / y,x) = x * (1 / y). [para(60(a,1),311(a,1,2,1))]. 340 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(311(a,1),239(a,1,2,1,1))]. 341 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(311(a,1),240(a,1,1,1))]. 342 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(57(a,1),319(a,1,1,1))]. 343 x / (y * x) != z | R(1 / y,y,x) = z. [para(319(a,1),254(a,1,2)),flip(b)]. 344 T(x,x \ y) != z | (x \ y) \ y = z. [para(57(a,1),327(a,1,1))]. 345 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(124(a,1),327(a,1,1))]. 346 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(176(a,1),327(a,1,1))]. 347 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(65,a,107,a,b,14,a)]. 348 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(65,a,30,a,b,115,a(flip))]. 349 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(65,a,28,a,b,111,a(flip))]. 350 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(65,a,28,a,b,110,a(flip))]. 351 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(66,a,30,a,b,115,a(flip))]. 352 L(x,y,1 / y) / (y * x) = 1 / y. [hyper(66,a,28,a,b,111,a(flip))]. 353 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(66,a,140,a(flip),b,11,a)]. 354 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),85(a,2,1)),flip(a)]. 355 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(106(a,2),85(a,1,2))]. 356 K(x \ 1,x) != y | (x \ 1) * x = y. [para(85(a,1),192(a,1)),flip(b)]. 358 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(167(a,2),86(a,1,1))]. 359 K(x,1 / x) \ 1 = K(1 / x,x). [para(170(a,2),88(a,1,1))]. 360 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(148(a,1),28(a,2,2))]. 361 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),160(a,1,2,1))]. 362 T(x / y,z) * y = y * T(y \ x,z). [para(108(a,1),160(a,1,2,1)),flip(a)]. 363 T((x * y) / x,z) * x = x * T(y,z). [para(144(a,1),160(a,1,2,1)),flip(a)]. 364 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(107(a,1),160(a,1,2,1))]. 365 (x * T(x \ y,z)) / x = T(y / x,z). [para(163(a,1),145(a,1,1,2))]. 366 x * T(x \ y,z) != u * x | T(y / x,z) = u. [para(163(a,1),152(a,1,2)),flip(b)]. 367 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(163(a,1),215(a,1,2))]. 368 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(163(a,1),258(a,1,1,2)),flip(b)]. 369 (x * T(y,z)) / x = T((x * y) / x,z). [para(179(a,1),145(a,1,1,2))]. 371 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(179(a,1),258(a,1,1,2)),flip(b)]. 372 T(x,(y * x) / y) = x. [hyper(35,a,180,a)]. 374 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(166(a,1),181(a,1,1,2,1))]. 375 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(181(a,1),195(a,1,1)),flip(b)]. 376 (x \ y) * x != y * z | K(x \ y,x) = z. [para(222(a,1),19(a,1))]. 377 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(222(a,1),28(a,2,2,2)),flip(a)]. 378 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(222(a,1),191(a,1,2)),flip(b)]. 379 x * (y / x) != y * z | K(x,y / x) = z. [para(223(a,1),19(a,1))]. 380 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(223(a,1),191(a,1,2)),flip(b)]. 381 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(250(a,1),212(a,1,2)),flip(b)]. 382 (x * y) * L(z,y,x) != x * u | y * z = u. [para(28(a,2),72(a,1,2)),flip(b)]. 384 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(65,a,92,a,b,xx)]. 385 L(x \ T(y * x,y),x,y) = y. [hyper(17,a,148,a(flip),b,92,a)]. 386 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(198,a,80,a(flip),b,92,a(flip)),flip(a)]. 387 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(198,a,79,a(flip),b,92,a(flip)),flip(a)]. 388 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(66,a,92,a(flip),b,106,a)]. 389 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(65,a,92,a(flip),b,106,a)]. 390 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(92(a,1),19(a,1)),flip(a)]. 392 (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)). [para(92(a,1),24(a,2,1,2)),flip(a)]. 393 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(92(a,1),28(a,2,1)),flip(a)]. 394 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(92(a,1),28(a,2,2,2)),flip(a)]. 395 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(92(a,1),30(a,2,1,1)),flip(a)]. 396 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),92(a,1,2))]. 397 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),92(a,1,2))]. 398 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),92(a,1,2))]. 399 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(106(a,1),92(a,1,1))]. 400 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(92(a,1),191(a,1,2)),flip(b)]. 401 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(92(a,1),84(a,1,1))]. 402 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(167(a,2),92(a,1,1))]. 403 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(92(a,1),135(a,1))]. 404 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(198,a,111,a(flip),b,94,a)]. 405 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(198,a,110,a(flip),b,94,a)]. 406 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(14(a,1),94(a,2,1))]. 407 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),94(a,2,1))]. 409 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),94(a,1,1)),flip(a)]. 410 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(106(a,1),94(a,2,1))]. 411 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(84(a,1),94(a,2,1))]. 412 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(170(a,2),94(a,2,2))]. 413 (x * T(x,y)) \ (T(x,y) * z) = L(x \ z,x,T(x,y)). [para(175(a,1),94(a,2,1)),flip(a)]. 414 x / L(y \ z,y,x / z) = (x / z) * y. [para(94(a,2),263(a,1,2))]. 415 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(92(a,1),94(a,2,1))]. 416 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(92(a,1),94(a,2,2))]. 417 L(L(x \ y,x,z),z * x,u) = (u * (z * x)) \ (u * (z * y)). [para(94(a,2),94(a,1,1))]. 419 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(65,a,80,a(flip),b,102,a)]. 420 R(x / y,y,z) \ (x * z) = y * z. [hyper(65,a,79,a(flip),b,102,a)]. 421 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). [hyper(65,a,14,a(flip),b,102,a)]. 422 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(65,a,102,a(flip),b,92,a)]. 423 R(x,y / z,z) * y = (x * (y / z)) * z. [para(16(a,1),102(a,1,2))]. 424 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(102(a,1),20(a,1))]. 425 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(102(a,1),26(a,2,1)),flip(a)]. 426 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(102(a,1),30(a,2,1,1)),flip(a)]. 427 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(102(a,1),30(a,2,2)),flip(a)]. 428 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),102(a,1,1))]. 429 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),102(a,1,1))]. 430 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),102(a,1,1))]. 431 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(106(a,1),102(a,1,2))]. 432 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(102(a,1),84(a,1,1))]. 433 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(84(a,1),102(a,1,2))]. 434 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(102(a,1),255(a,1,1)),flip(b)]. 435 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(102(a,2),255(a,1,1)),flip(b)]. 436 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(102(a,1),136(a,1)),flip(b)]. 437 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(102(a,2),151(a,2)),flip(a)]. 438 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(102(a,1),102(a,1,2))]. 439 R(x / (1 / y),1 / y,y) = x * y. [hyper(198,a,116,a(flip),b,103,a)]. 440 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(198,a,115,a(flip),b,103,a)]. 441 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),103(a,2,1))]. 442 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),103(a,2,2))]. 443 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),103(a,2,2))]. 444 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(103(a,1),42(a,2,1)),flip(a)]. 445 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(103(a,2),108(a,1,1))]. 446 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(175(a,1),103(a,2,2))]. 447 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(141(a,2),103(a,1,1))]. 448 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(102(a,1),103(a,2,1))]. 449 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(102(a,1),103(a,2,2))]. 450 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(103(a,2),103(a,1,1))]. 451 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),123(a,1,1,2))]. 452 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(106(a,1),123(a,1,1,2))]. 453 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(84(a,1),123(a,1,1,2))]. 454 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(106(a,1),128(a,1,2,1))]. 455 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(84(a,1),128(a,1,2,1))]. 456 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(222(a,1),128(a,1,2,1))]. 457 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(92(a,1),128(a,1,2,1))]. 458 x / K(x \ 1,x) = R(x,x \ 1,x). [para(167(a,2),139(a,2,2)),flip(a)]. 459 K(x,1 / x) \ x = L(x,1 / x,x). [para(170(a,2),143(a,2,1)),flip(a)]. 460 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(65,a,45,a,b,168,a)]. 461 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(65,a,40,a(flip),b,168,a)]. 462 (x * y) \ (x * L(z,y \ 1,y)) = L((y \ 1) * z,y,x). [para(168(a,1),28(a,2,2,2)),flip(a)]. 463 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(106(a,1),168(a,1,2)),flip(a)]. 465 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(65,a,45,a,b,171,a)]. 466 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(106(a,1),171(a,1,2)),flip(a)]. 467 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(171(a,1),191(a,1,2)),flip(b)]. 468 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(66,a,44,a(flip),b,172,a)]. 469 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(65,a,172,a(flip),b,106,a)]. 471 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(102(a,1),172(a,1,1)),flip(a)]. 472 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(66,a,44,a(flip),b,173,a)]. 473 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(196(a,1),40(a,2,1))]. 474 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(196(a,1),45(a,1,1)),flip(a)]. 476 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(30(a,2),253(a,1,1))]. 482 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(94(a,2),259(a,1))]. 484 (x * (x \ y)) * z != u | y * z = u. [para(57(a,1),261(a,1,1,1))]. 485 (x / (y \ x)) * z != u | y * z = u. [para(200(a,2),261(a,1,1))]. 486 x * y != z * u | z \ (x * y) = u. [para(15(a,1),264(a,1,1))]. 487 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(30(a,2),264(a,1,1))]. 492 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(202(a,1),264(a,1,1))]. 493 (x * y) / y != z * u | z \ x = u. [para(202(a,2),264(a,1))]. 501 x * ((y / (x \ z)) \ y) != u * w | z / w = u. [para(60(a,2),265(a,1,2))]. 503 ((1 / x) * x) * y != z * u | y / u = z. [para(111(a,1),265(a,1,2))]. 505 (x / y) \ x != z * u | y / u = z. [para(199(a,2),265(a,1))]. 506 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(205(a,1),265(a,1,2))]. 507 x \ (x * y) != z * u | y / u = z. [para(205(a,2),265(a,1))]. 510 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(168(a,1),267(a,1))]. 511 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(306(a,1),236(a,1,2))]. 512 K((x \ y) \ 1,y \ x) = 1. [para(306(a,1),237(a,1,2))]. 513 K(((x * y) \ x) \ 1,y) = 1. [para(13(a,1),512(a,1,2))]. 514 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(307(a,1),40(a,2,1)),flip(a)]. 515 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(315(a,1),42(a,2,1)),flip(a)]. 516 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(315(a,2),103(a,1,1))]. 517 (((x / y) / z) * z) * y != u * w | x / w = u. [para(16(a,2),330(a,1,1))]. 518 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(202(a,1),330(a,1,1))]. 519 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),332(a,1,2))]. 520 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(205(a,1),332(a,1,2))]. 522 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(342(a,1),254(a,1,2)),flip(b)]. 523 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),344(a,1))]. 524 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(107(a,2),344(a,1,2))]. 526 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(350(a,1),212(a,1,2)),flip(b)]. 530 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(404(a,1),40(a,2,1))]. 531 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(404(a,1),44(a,1,1)),flip(a)]. 532 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(405(a,1),40(a,2,1))]. 533 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(405(a,1),44(a,1,1)),flip(a)]. 534 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(405(a,1),236(a,1,2))]. 536 R(x / y,y,x \ z) \ z = y * (x \ z). [para(14(a,1),420(a,1,2))]. 537 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(420(a,1),254(a,1,2)),flip(b)]. 538 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(439(a,1),42(a,2,1))]. 539 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(440(a,1),42(a,2,1))]. 540 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(440(a,1),46(a,1,1)),flip(a)]. 541 K(x,1 / x) * L(x,1 / x,x) = x. [para(459(a,1),14(a,1,2))]. 542 ((x / y) \ x) * z != u | y * z = u. [para(199(a,2),484(a,1,1))]. 543 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(80(a,2),486(a,1))]. 545 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(30(a,2),505(a,1,1))]. 546 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(311(a,1),505(a,1,1))]. 548 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(541(a,1),19(a,1)),flip(a)]. 549 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(176(a,1),542(a,1,1,1))]. 550 T(x / y,(z / y) \ z) = y \ x. [hyper(150,a,241,a,b,240,a)]. 551 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(198,a,92,a(flip),b,161,a(flip)),flip(a)]. 552 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(65,a,161,a(flip),b,92,a(flip))]. 554 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(161(a,1),24(a,2,1,2)),flip(a)]. 555 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(32(a,1),161(a,1,2,1))]. 556 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),161(a,1,2,1))]. 557 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(108(a,1),161(a,1,2,1)),flip(a)]. 558 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(144(a,1),161(a,1,2,1)),flip(a)]. 559 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(107(a,1),161(a,1,2,1))]. 562 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(198,a,102,a(flip),b,162,a)]. 563 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(65,a,102,a(flip),b,162,a)]. 565 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(38(a,1),162(a,1,2,1))]. 566 R(x,y,z) * x = x * R(x,y,z). [para(105(a,1),162(a,1,2,1)),flip(a)]. 567 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(108(a,1),162(a,1,2,1)),flip(a)]. 568 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(117(a,1),162(a,1,2,1)),flip(a)]. 569 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(144(a,1),162(a,1,2,1)),flip(a)]. 570 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(107(a,1),162(a,1,2,1))]. 571 T(x,R(x,y,z)) = x. [hyper(151,a,566,a)]. 572 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(164(a,1),145(a,1,1,2))]. 573 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(165(a,1),145(a,1,1,2))]. 574 T(x / (y * x),y) = R(y \ 1,y,x). [para(141(a,1),165(a,1,1))]. 575 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(313(a,1),165(a,1,1)),flip(a)]. 576 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(103(a,1),165(a,1,1))]. 577 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(197(a,1),165(a,1,1)),flip(a)]. 578 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(316(a,1),165(a,1,1)),flip(a)]. 579 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(440(a,1),165(a,1,1)),flip(a)]. 580 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(574(a,1),106(a,1,2)),flip(a)]. 581 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(574(a,1),215(a,1,2))]. 582 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(486,a,230,a)]. 583 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(215,a,230,a),flip(a)]. 584 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(150,a,230,a,b,106,a)]. 585 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(65,a,230,a(flip),b,92,a)]. 586 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(230(a,2),26(a,2,1)),flip(a)]. 587 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(230(a,2),28(a,2,1)),flip(a)]. 589 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(230(a,2),229(a,1,1))]. 590 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(330,a,231,a),flip(a)]. 591 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(198,a,16,a(flip),b,231,a)]. 592 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(65,a,231,a(flip),b,84,a)]. 594 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(232(a,2),267(a,1,2))]. 595 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(233(a,1),215(a,1,2))]. 597 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(16(a,1),338(a,1,1))]. 598 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(106(a,1),343(a,1,2))]. 599 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(170(a,2),343(a,1,2))]. 600 K(x \ (x * y),x) = K(y,x). [hyper(198,a,85,a(flip),b,354,a),flip(a)]. 601 K(x \ (x * y),z) = K(y,z). [para(50(a,1),600(a,1,1)),flip(a)]. 602 K((x / y) \ x,z) = K(y,z). [para(16(a,1),601(a,1,1,2))]. 603 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(198,a,230,a(flip),b,363,a(flip)),flip(a)]. 604 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(365(a,1),208(a,1,1)),flip(b)]. 605 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(365(a,1),195(a,1,1)),flip(b)]. 607 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(369(a,2),106(a,1,2))]. 608 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(108(a,1),369(a,1,1,2)),flip(a)]. 609 T((x * y) / x,T(y,z)) = (x * y) / x. [para(174(a,1),369(a,1,1,2)),flip(a)]. 610 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(369(a,1),208(a,1,1)),flip(b)]. 611 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(369(a,1),195(a,1,1)),flip(b)]. 612 T(x * y,(x \ 1) \ y) = x * y. [hyper(35,a,534,a)]. 613 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(591(a,1),255(a,1,1)),flip(b)]. 614 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(66,a,80,a(flip),b,81,a)]. 615 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(14(a,1),81(a,1,1,2))]. 616 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(16(a,1),81(a,1,1,2))]. 618 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(52(a,1),81(a,1,1))]. 619 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(106(a,1),81(a,1,1,2))]. 620 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(81(a,1),191(a,1,2)),flip(b)]. 621 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(102(a,1),81(a,1,1))]. 622 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(95(a,1),212(a,1,2)),flip(b)]. 623 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(92(a,1),95(a,1,2,2)),flip(a)]. 624 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(14(a,1),100(a,2,2))]. 625 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(100(a,2),262(a,1,1))]. 626 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(173(a,1),142(a,1,2))]. 627 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(198,a,40,a(flip),b,157,a)]. 628 L(T(x,y),y,x) = T(x,x * y). [hyper(193,a,157,a),flip(a)]. 630 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(102(a,1),157(a,1,2))]. 631 T(L(x,y,x),y) = T(x,x * y). [hyper(198,a,40,a(flip),b,628,a(flip)),flip(a)]. 632 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(628(a,1),40(a,2,1))]. 633 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(628(a,1),44(a,1,1)),flip(a)]. 634 x * T(y,y * x) = L(y,x,y) * x. [para(628(a,1),161(a,1,2))]. 635 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(628(a,2),162(a,1,2,1))]. 636 (x * T(y,y * x)) / x = L(y,x,y). [para(631(a,1),145(a,1,1,2))]. 637 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,363,a,b,634,a(flip)),flip(a)]. 638 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),634(a,1,2,2)),flip(a)]. 640 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(106(a,1),634(a,1,2,2)),flip(a)]. 641 x * T(x \ 1,K(x \ 1,x)) = L(x \ 1,x,x \ 1) * x. [para(167(a,2),634(a,1,2,2))]. 643 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(14(a,1),637(a,1,2))]. 644 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(637(a,1),38(a,1,1)),flip(a)]. 645 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(228(a,1),362(a,1,1,1)),flip(a)]. 646 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(65,a,268,a(flip),b,162,a)]. 647 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(44(a,1),268(a,1,1))]. 649 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(308(a,2),92(a,1,2))]. 650 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(212,a,314,a)]. 651 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(327,a,317,a),flip(a)]. 652 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(107(a,1),324(a,1,2))]. 653 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),333(a,1,2,1))]. 654 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(198,a,108,a(flip),b,336,a)]. 655 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(65,a,336,a(flip),b,171,a)]. 656 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(151,a,341,a),flip(a)]. 657 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(341(a,1),138(a,1))]. 658 K(x,y) = L(x \ T(x,y),x,y). [hyper(198,a,26,a,b,360,a),flip(a)]. 659 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(360(a,1),40(a,2,1))]. 661 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(106(a,2),378(a,1,2))]. 662 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(198,a,161,a(flip),b,386,a(flip))]. 663 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(386(a,1),19(a,1))]. 664 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),386(a,1,2))]. 665 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(386(a,1),191(a,1,2)),flip(b)]. 666 L(x \ y,x,y / x) = T(y / x,y). [hyper(150,a,78,a(flip),b,387,a),flip(a)]. 667 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(198,a,161,a(flip),b,387,a(flip))]. 668 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(45(a,1),387(a,1,2))]. 669 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(406(a,1),40(a,2,1))]. 670 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(406(a,1),44(a,1,1)),flip(a)]. 671 T((x / y) * z,L(z \ y,z,x / y)) = L(z \ y,z,x / y) \ x. [para(414(a,1),108(a,1,1))]. 672 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(14(a,1),419(a,1,2))]. 673 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(419(a,1),254(a,1,2)),flip(b)]. 674 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(423(a,1),74(a,1)),flip(b)]. 675 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(443(a,1),42(a,2,1))]. 676 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(443(a,1),46(a,1,1)),flip(a)]. 677 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(141(a,2),443(a,1,1,2))]. 678 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(141(a,2),443(a,1,2))]. 679 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(443(a,1),165(a,1,1)),flip(a)]. 680 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(452(a,1),189(a,1,1)),flip(b)]. 681 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(198,a,654,a(flip),b,466,a(flip))]. 682 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(60(a,1),681(a,1,2,1))]. 683 (1 / x) * K(x \ 1,x) = x \ 1. [para(167(a,2),681(a,1,2))]. 684 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(683(a,1),123(a,1,1,2))]. 685 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),576(a,2,1)),flip(a)]. 686 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(577(a,1),102(a,1,1))]. 689 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(580(a,1),229(a,1,1))]. 690 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(576(a,1),605(a,1,1))]. 691 T(T(x,y),x) != z | T(x,y) = z. [para(15(a,1),611(a,1,1,1))]. 692 T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. [para(107(a,1),611(a,1,1))]. 693 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(198,a,172,a(flip),b,618,a)]. 694 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [hyper(65,a,172,a(flip),b,618,a)]. 696 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(693(a,1),191(a,1,2)),flip(b)]. 697 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(16(a,1),627(a,1,1)),flip(a)]. 698 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(632(a,1),92(a,1,2))]. 699 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(14(a,1),650(a,1,1,2))]. 702 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(116(a,1),685(a,2,1)),flip(a)]. 704 T(R(x,y,x),y * x) = T(x,y). [para(685(a,2),179(a,1,1))]. 705 R(T(x,y * x),y,x) = T(x,y). [hyper(198,a,42,a,b,704,a(flip)),flip(a)]. 706 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(704(a,1),161(a,1,2,1)),flip(a)]. 707 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(704(a,1),162(a,1,2,1)),flip(a)]. 708 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),705(a,1,1,2))]. 709 R(x,1 / x,x) = T(x,1 / x). [para(130(a,1),708(a,1,1))]. 710 T(x,1 / x) / x = x * (1 / x). [hyper(66,a,709,a(flip),b,173,a)]. 711 T(x,1 / x) / x = K(x,1 / x). [hyper(198,a,170,a,b,710,a)]. 712 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(198,a,42,a,b,109,a),flip(a)]. 716 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(106(a,1),214(a,1,2))]. 717 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(40(a,1),217(a,1,2))]. 718 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),217(a,1,2))]. 720 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(84(a,1),390(a,1,1)),flip(a)]. 722 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(53(a,1),400(a,1,2))]. 723 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(92(a,1),400(a,1,2,2))]. 724 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. [para(230(a,2),400(a,1,1))]. 725 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(81(a,1),400(a,1,2,2))]. 727 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(167(a,2),424(a,2,2))]. 728 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(222(a,1),424(a,2,2))]. 729 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(683(a,1),424(a,2,2))]. 730 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(63(a,1),434(a,1,1))]. 732 L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. [para(247(a,1),510(a,1,1))]. 733 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(167(a,2),526(a,1,2))]. 734 (x * y) / z != u | R(x / (z / y),z / y,y) = u. [para(16(a,1),537(a,1,2))]. 735 L(1 / x,x,y) * x = x * ((y * x) \ y). [para(140(a,1),557(a,2,2))]. 736 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(306(a,1),557(a,2,2))]. 737 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(77,a,735,a)]. 738 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(14(a,1),737(a,1,1,2,1))]. 740 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(77,a,558,a),flip(a)]. 741 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(66,a,92,a(flip),b,558,a),flip(a)]. 742 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(567(a,1),172(a,1,1))]. 743 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(228(a,1),567(a,1,1,1)),flip(a)]. 744 T(x,R(T(x,y),z,u)) = x. [hyper(151,a,568,a)]. 745 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(214,a,569,a)]. 746 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(77,a,569,a),flip(a)]. 747 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(66,a,569,a(flip),b,268,a(flip))]. 748 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(66,a,569,a(flip),b,102,a(flip))]. 749 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(60(a,1),572(a,1,1,2,1))]. 750 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(572(a,1),208(a,1,1)),flip(b)]. 751 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(572(a,1),195(a,1,1)),flip(b)]. 752 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(94(a,1),572(a,1,1,2))]. 753 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(196(a,1),572(a,1,1,2)),flip(a)]. 754 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(404(a,1),572(a,1,1,2))]. 755 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(658(a,2),572(a,1,1,2)),flip(a)]. 756 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(28(a,2),573(a,1,1,2,1))]. 757 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(60(a,1),573(a,1,1,2,1))]. 758 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(573(a,1),208(a,1,1)),flip(b)]. 759 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(108(a,1),607(a,1,2,1,2)),flip(a)]. 760 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(107(a,1),607(a,1,2,1,2))]. 761 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(608(a,1),145(a,1,1,2))]. 762 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(608(a,1),146(a,1,2,2))]. 764 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(198,a,60,a(flip),b,682,a)]. 766 (1 / (1 / x)) * K(x,1 / x) = x. [para(170(a,2),764(a,1,2))]. 767 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(108(a,1),712(a,1,1,1)),flip(a)]. 768 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(740(a,2),208(a,1,1)),flip(b)]. 769 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(740(a,1),92(a,1,2))]. 770 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(307(a,1),740(a,2,1,2))]. 771 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(404(a,1),740(a,2,1,2))]. 772 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(405(a,1),740(a,2,1,2))]. 773 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(406(a,1),740(a,2,1,2))]. 774 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(198,a,440,a(flip),b,746,a(flip))]. 775 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(746(a,2),208(a,1,1)),flip(b)]. 776 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(141(a,1),746(a,2,1,2))]. 777 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(197(a,1),746(a,2,1,2))]. 779 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(439(a,1),746(a,2,1,2))]. 780 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(440(a,1),746(a,2,1,2))]. 781 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(746(a,1),214(a,1,1))]. 782 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(169(a,1),348(a,1,1))]. 783 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(309(a,2),92(a,1,2))]. 784 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(575(a,1),309(a,2,1))]. 785 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(198,a,94,a(flip),b,310,a)]. 786 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(304(a,1),310(a,1,1)),flip(a)]. 787 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(310(a,1),92(a,1,2))]. 788 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(14(a,1),786(a,1,1,1))]. 791 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(94(a,1),396(a,1,2,1))]. 792 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(196(a,1),396(a,1,2,1))]. 794 x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). [para(658(a,2),396(a,1,2,1)),flip(a)]. 795 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(334,a,399,a),flip(a)]. 796 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(45(a,1),399(a,1,2))]. 797 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(309(a,2),399(a,1,2))]. 798 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(410(a,1),40(a,2,1))]. 799 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(410(a,1),44(a,1,1)),flip(a)]. 800 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(410(a,1),45(a,1,1)),flip(a)]. 801 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(103(a,1),428(a,1,1,1))]. 802 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(18,a,363,a,b,431,a),flip(a)]. 803 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(17,a,162,a,b,431,a(flip)),flip(a)]. 804 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(803(a,1),431(a,1,1)),flip(a)]. 806 R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. [para(444(a,1),327(a,1))]. 807 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(445(a,1),607(a,1,2,1,2)),flip(a)]. 808 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(106(a,1),454(a,1,2))]. 809 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(405(a,1),461(a,1,2,1)),flip(a)]. 810 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(473(a,1),217(a,1,2))]. 811 (x / y) * ((z / y) \ z) != u * w | x / w = u. [para(60(a,1),501(a,1,2,1,2))]. 812 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(514(a,2),387(a,1,2)),flip(a)]. 813 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(515(a,2),268(a,1,1))]. 815 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(198,a,466,a(flip),b,530,a(flip)),flip(a)]. 816 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(65,a,530,a(flip),b,171,a)]. 817 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(308(a,1),530(a,1,1))]. 818 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(13(a,1),815(a,1,2,1)),flip(a)]. 819 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(198,a,463,a(flip),b,532,a(flip)),flip(a)]. 820 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(65,a,532,a(flip),b,463,a(flip))]. 821 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(66,a,538,a(flip),b,173,a),flip(a)]. 822 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(66,a,539,a(flip),b,172,a)]. 823 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(140(a,1),551(a,2,1)),flip(a)]. 824 L(T(x,y),y,z) * (z * y) = z * (T(x,z * y) * y). [para(160(a,1),551(a,1,2)),flip(a)]. 825 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(65,a,81,a(flip),b,562,a),flip(a)]. 826 (x * y) * T(y,x) = (y * x) * y. [para(705(a,1),562(a,1,2))]. 827 (x * (y / x)) * x = y * T(x,y / x). [hyper(261,a,826,a),flip(a)]. 828 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(65,a,51,a(flip),b,826,a)]. 830 K(x \ 1,x) \ x = T(x,x \ 1). [para(167(a,2),828(a,1,1))]. 831 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(198,a,107,a(flip),b,830,a)]. 832 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(831(a,1),14(a,1,2))]. 833 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(106(a,1),563(a,1,2,1)),flip(a)]. 834 (x / y) * R((x / y) \ 1,x / y,y) != z | (y / x) * (x / y) = z. [para(578(a,2),215(a,1,2))]. 835 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(57(a,1),604(a,1,1,1))]. 836 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(16(a,1),610(a,1,1,1,1))]. 837 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(106(a,1),614(a,1,1))]. 838 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(66,a,615,a(flip),b,106,a)]. 839 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [hyper(65,a,827,a(flip),b,616,a)]. 841 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [hyper(198,a,609,a(flip),b,643,a(flip)),flip(a)]. 842 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(643(a,1),610(a,1,1))]. 843 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(198,a,40,a,b,644,a)]. 844 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [para(16(a,1),646(a,1,2,1)),flip(a)]. 845 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(407(a,1),697(a,1,1)),flip(a)]. 846 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(699(a,1),138(a,1))]. 847 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),753(a,2,1,2,1))]. 848 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),753(a,2,1,2))]. 849 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(155(a,1),753(a,2,1,2))]. 850 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(844(a,1),268(a,1,1))]. 851 T(x,((x \ y) \ y) \ z) * (x \ y) = (x \ y) * ((((x \ y) \ y) \ z) \ z). [hyper(198,a,231,a(flip),b,364,a(flip))]. 853 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(705(a,1),437(a,1,1))]. 856 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(198,a,351,a,b,759,a(flip)),flip(a)]. 857 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),761(a,1,1,2,1,2))]. 858 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(761(a,1),208(a,1,1)),flip(b)]. 860 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(60(a,1),762(a,1,2,2,1,2))]. 861 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(103(a,1),767(a,1,1,1))]. 862 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(445(a,1),767(a,1,1)),flip(a)]. 863 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(150,a,804,a,b,xx)]. 865 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(653,a,809,a),flip(a)]. 866 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(71,a,809,a)]. 867 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),809(a,2,2,1))]. 868 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),809(a,2,2,1))]. 869 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(809(a,1),215(a,1))]. 870 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(198,a,364,a(flip),b,867,a(flip)),flip(a)]. 871 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(870(a,1),156(a,1,2,2))]. 872 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),816(a,1,2,1)),flip(a)]. 874 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(610,a,821,a),flip(a)]. 875 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(604,a,821,a)]. 876 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(11(a,1),821(a,2,1,1))]. 877 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(108(a,1),821(a,1,1)),flip(a)]. 878 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(821(a,1),604(a,1))]. 879 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(604,a,876,a)]. 880 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(876(a,1),604(a,1))]. 881 (1 / x) * T(x,y) = T(x,y) / x. [para(60(a,1),879(a,1,2,1))]. 882 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(485,a,881,a),flip(a)]. 883 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(150,a,881,a,b,14,a),flip(a)]. 884 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(77,a,881,a)]. 885 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(71,a,881,a)]. 887 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(881(a,1),485(a,1))]. 888 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(881(a,1),637(a,1,2))]. 889 T(x * T(x \ 1,y),x \ 1) = (x \ 1) \ T(x \ 1,y). [para(882(a,1),108(a,1,1))]. 890 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(597,a,883,a)]. 891 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(198,a,362,a(flip),b,822,a)]. 892 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(865(a,1),14(a,1,2)),flip(a)]. 893 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(866(a,1),212(a,1,2)),flip(b)]. 895 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(66,a,868,a(flip),b,362,a)]. 896 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(872(a,1),355(a,1,2))]. 898 T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. [para(875(a,1),215(a,1))]. 899 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(16(a,1),877(a,1,1,1)),flip(a)]. 900 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(891(a,1),16(a,1,1))]. 902 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(899(a,1),86(a,1,1)),flip(a)]. 903 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(881(a,1),251(a,1,2,2))]. 904 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(196(a,1),397(a,1,2,1))]. 905 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(94(a,1),398(a,1,2,1))]. 906 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(196(a,1),398(a,1,2,1))]. 907 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(628(a,1),398(a,1,2,1))]. 909 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(103(a,1),429(a,1,1,1))]. 910 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(103(a,1),430(a,1,1,1))]. 911 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(870(a,1),455(a,1,1,1))]. 912 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(460(a,2),19(a,1))]. 913 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(405(a,1),460(a,1,2,1)),flip(a)]. 914 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(304(a,1),465(a,1,2,1))]. 915 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(404(a,1),465(a,1,2,1))]. 916 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(654(a,1),465(a,1,2,1))]. 917 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(313(a,1),468(a,1,1,1))]. 918 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(440(a,1),468(a,1,1,1))]. 919 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(198,a,735,a(flip),b,917,a)]. 920 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(919(a,1),60(a,1,1))]. 921 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(140(a,1),919(a,1,1))]. 922 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(921(a,1),16(a,1,1))]. 923 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(922(a,1),224(a,1,1))]. 924 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(14(a,1),920(a,1,1,2,1))]. 925 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(317(a,2),472(a,1,1,1))]. 926 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(709(a,1),472(a,1,1,1))]. 927 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(40(a,1),926(a,1,1))]. 928 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(18,a,899,a,b,927,a(flip)),flip(a)]. 929 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(928(a,1),14(a,1,2))]. 930 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(928(a,1),57(a,1,2))]. 931 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(929(a,1),94(a,2,1))]. 932 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(929(a,1),637(a,1,2))]. 933 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(474(a,1),402(a,1,2))]. 935 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(326,a,531,a)]. 936 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(784(a,1),531(a,1,1))]. 937 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(65,a,533,a(flip),b,168,a),flip(a)]. 938 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(669(a,1),386(a,1,2)),flip(a)]. 939 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(675(a,1),423(a,1,1)),flip(a)]. 940 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(315(a,1),747(a,1,1,2))]. 941 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(365(a,1),768(a,1,1,1))]. 942 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(776(a,1),102(a,1,1))]. 943 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(11(a,1),862(a,2,1,2))]. 944 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),862(a,1,1,1)),flip(a)]. 946 R(x,y \ 1,y) * K(y \ 1,y) != z * u | z \ ((x * (y \ 1)) * y) = u. [para(167(a,2),487(a,1,2))]. 948 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(633(a,1),556(a,1,2))]. 949 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,162,a,b,570,a),flip(a)]. 950 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(65,a,949,a(flip),b,269,a),flip(a)]. 952 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(604,a,686,a)]. 953 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(333,a,698,a),flip(a)]. 954 T(x,y) * (x * z) = x * (T(x,y) * z). [para(160(a,1),953(a,1,2)),flip(a)]. 955 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(520,a,954,a)]. 956 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(519,a,954,a),flip(a)]. 957 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(267,a,954,a),flip(a)]. 958 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(198,a,78,a(flip),b,954,a)]. 959 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(150,a,954,a,b,220,a)]. 960 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(71,a,954,a)]. 961 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(65,a,78,a(flip),b,954,a)]. 962 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(65,a,53,a(flip),b,954,a),flip(a)]. 963 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(65,a,52,a(flip),b,954,a),flip(a)]. 964 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),954(a,1,2)),flip(a)]. 965 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(954(a,2),19(a,1))]. 966 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(106(a,1),954(a,1,2)),flip(a)]. 967 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(108(a,1),954(a,1,1)),flip(a)]. 970 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(77,a,963,a)]. 971 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(71,a,963,a)]. 972 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(66,a,963,a(flip),b,106,a)]. 973 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(963(a,1),191(a,1,2)),flip(b)]. 974 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(963(a,1),171(a,1,2)),flip(a)]. 975 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(963(a,1),818(a,1,1,2))]. 977 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(970(a,1),895(a,2,1))]. 978 (x \ y) \ (x \ (T(x,z) * y)) = T(T(x,z),x \ y). [hyper(65,a,955,a,b,106,a)]. 979 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(71,a,956,a)]. 980 x \ (T(x,y) \ (z * x)) = T(x,y) \ T(z,x). [hyper(65,a,32,a,b,956,a),flip(a)]. 981 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(957(a,1),19(a,1))]. 982 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(322,a,958,a),flip(a)]. 983 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,386,a,b,958,a)]. 984 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(958(a,1),191(a,1,2)),flip(b)]. 985 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(108(a,1),982(a,1,2,1))]. 986 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(979(a,2),212(a,1,2)),flip(b)]. 987 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(979(a,1),265(a,1,2))]. 988 x * (T(x,y) \ (x \ z)) != u * w | u \ (T(x,y) \ z) = w. [para(979(a,2),332(a,1,2))]. 989 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,386,a,b,966,a)]. 990 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(977(a,1),16(a,1,1))]. 991 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(108(a,1),985(a,2,2))]. 992 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(13(a,1),991(a,1,2,1))]. 993 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(108(a,1),990(a,1,1)),flip(a)]. 994 T(x,y) = ((x * y) / x) * (y \ x). [para(13(a,1),992(a,2,2)),flip(a)]. 995 T(x,y) / (y \ x) = (x * y) / x. [hyper(66,a,994,a,b,xx)]. 996 ((x * y) / x) \ T(x,y) = y \ x. [hyper(65,a,994,a,b,xx)]. 997 T(x,x / y) / y = (x * (x / y)) / x. [hyper(271,a,994,a(flip))]. 998 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(16(a,1),994(a,2,1,1)),flip(a)]. 999 ((x * (x / y)) / x) * y = T(x,x / y). [para(60(a,1),994(a,2,2)),flip(a)]. 1001 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(319(a,1),994(a,2,2)),flip(a)]. 1002 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(342(a,1),994(a,2,2)),flip(a)]. 1003 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),995(a,1,2)),flip(a)]. 1004 T(T(x,x / y) / y,x) = x / y. [para(997(a,2),144(a,1,1))]. 1006 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(198,a,759,a(flip),b,999,a(flip)),flip(a)]. 1007 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(65,a,999,a(flip),b,759,a(flip))]. 1008 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(60(a,1),1006(a,1,2,1,2))]. 1009 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(753(a,2),1006(a,1,2))]. 1010 T(x \ T(y,y / x),y) = x \ y. [para(1007(a,2),144(a,1,1))]. 1011 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(1007(a,1),212(a,1,2)),flip(b)]. 1012 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1007(a,1),332(a,1,2))]. 1013 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(57(a,1),1010(a,1,1,2,2))]. 1014 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(66,a,144,a(flip),b,998,a),flip(a)]. 1015 T(T(x * y,x) / y,x * y) = x. [para(1003(a,1),144(a,1,1))]. 1016 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1003(a,1),802(a,1,1))]. 1017 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(172(a,1),1015(a,1,1,1,1))]. 1018 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(327,a,1016,a)]. 1019 x * R(y,x,T(y,x)) = T(y * x,y). [para(1016(a,1),149(a,1,2))]. 1020 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1016(a,1),327(a,1))]. 1021 L(R(x,y,T(x,y)),y,x) = x. [para(1018(a,1),385(a,1,1))]. 1022 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(145(a,1),1008(a,1,2)),flip(a)]. 1024 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(159(a,1),984(a,1))]. 1025 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(13(a,1),986(a,1,2,2))]. 1026 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(362(a,1),964(a,1,2))]. 1028 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(217,a,1009,a)]. 1029 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1009(a,1),217(a,1))]. 1030 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(94(a,1),717(a,1,2,1))]. 1031 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(71,a,812,a)]. 1032 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(246(a,1),812(a,1,2))]. 1033 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(604,a,813,a),flip(a)]. 1034 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(376,a,823,a)]. 1035 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(66,a,1034,a,b,362,a)]. 1036 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(362(a,1),850(a,2,1))]. 1037 (1 / x) \ (((1 / x) \ 1) \ T((1 / x) \ 1,y)) = x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1). [para(889(a,1),816(a,1,2))]. 1038 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),913(a,2,2,1))]. 1039 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(196(a,1),913(a,1,2)),flip(a)]. 1040 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(198,a,559,a(flip),b,1038,a(flip)),flip(a)]. 1041 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(65,a,1038,a(flip),b,559,a(flip))]. 1042 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(1040(a,1),580(a,1,1,2)),flip(a)]. 1043 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1040(a,1),865(a,1,2,1,2))]. 1044 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(306(a,1),1041(a,1,1))]. 1045 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(14(a,1),915(a,1,2,1)),flip(a)]. 1046 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(198,a,161,a(flip),b,916,a)]. 1047 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(306(a,1),1046(a,1,2)),flip(a)]. 1048 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(198,a,557,a(flip),b,918,a)]. 1049 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),935(a,2,1))]. 1050 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(71,a,1049,a)]. 1051 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(65,a,316,a(flip),b,1049,a),flip(a)]. 1052 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(17,a,693,a,b,1049,a)]. 1055 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(580(a,2),1049(a,1,2))]. 1056 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(198,a,141,a(flip),b,1055,a)]. 1057 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(150,a,1056,a,b,14,a),flip(a)]. 1059 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1050(a,1),696(a,1))]. 1060 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(12(a,1),937(a,2,2,1))]. 1061 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(32(a,2),937(a,1,2,1)),flip(a)]. 1062 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(198,a,570,a(flip),b,1060,a(flip)),flip(a)]. 1063 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(65,a,1060,a(flip),b,570,a(flip))]. 1064 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(66,a,1062,a(flip),b,162,a)]. 1065 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1062(a,1),84(a,1,1))]. 1066 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(1062(a,1),580(a,1,1,2)),flip(a)]. 1067 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1062(a,1),608(a,2,1))]. 1069 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(198,a,759,a(flip),b,940,a)]. 1070 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(198,a,649,a(flip),b,952,a(flip))]. 1071 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(57(a,1),1070(a,1,1,1,2)),flip(a)]. 1072 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(108(a,1),967(a,1,2,1))]. 1073 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(144(a,1),967(a,1,2,1)),flip(a)]. 1074 (x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z. [hyper(519,a,1072,a),flip(a)]. 1075 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(331,a,1072,a),flip(a)]. 1076 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(65,a,52,a(flip),b,1072,a),flip(a)]. 1077 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(60(a,1),1075(a,1,2,1)),flip(a)]. 1078 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1076(a,1),19(a,1))]. 1079 (x \ y) \ ((y / x) \ ((x \ y) * z)) = (y / x) \ z. [hyper(65,a,13,a(flip),b,1074,a),flip(a)]. 1080 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(661,a,1031,a)]. 1082 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(198,a,879,a(flip),b,1080,a)]. 1083 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(198,a,867,a(flip),b,1080,a)]. 1084 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(66,a,1080,a,b,362,a)]. 1085 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(883(a,1),1080(a,1,1))]. 1086 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1080(a,2),966(a,1,2)),flip(a)]. 1087 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1082(a,2),16(a,1,1)),flip(a)]. 1088 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(574(a,1),1082(a,2,1))]. 1089 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(108(a,1),1083(a,2,2))]. 1090 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(144(a,1),1083(a,2,2))]. 1091 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1063(a,1),1089(a,2,2))]. 1092 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(362(a,1),1033(a,1,1))]. 1093 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(71,a,1045,a),flip(a)]. 1094 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(60(a,1),1048(a,1,1,1,2))]. 1095 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(60(a,1),1077(a,1,1)),flip(a)]. 1096 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1090(a,2),344(a,1,2))]. 1097 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(374(a,1),1090(a,1,1,2,2,1))]. 1098 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1092(a,1),255(a,1,1)),flip(b)]. 1099 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(246(a,1),1092(a,1,1))]. 1100 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(867(a,1),1092(a,1,1))]. 1101 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(57(a,1),1093(a,2,2,1))]. 1103 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(198,a,397,a(flip),b,635,a(flip)),flip(a)]. 1104 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(162(a,1),1103(a,1,2)),flip(a)]. 1105 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(520,a,1104,a)]. 1106 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(506,a,1104,a)]. 1107 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(267,a,1104,a),flip(a)]. 1108 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(71,a,1104,a)]. 1109 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(65,a,78,a(flip),b,1104,a)]. 1110 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(65,a,52,a(flip),b,1104,a),flip(a)]. 1111 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(150,a,1104,a(flip),b,220,a),flip(a)]. 1112 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(106(a,1),1104(a,1,2)),flip(a)]. 1114 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1104(a,1),157(a,1,2))]. 1115 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(216,a,1110,a)]. 1116 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1110(a,1),171(a,1,2)),flip(a)]. 1117 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1110(a,1),865(a,1,2,1,2))]. 1118 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(102(a,1),1105(a,1,2)),flip(a)]. 1119 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(268(a,1),1105(a,1,2)),flip(a)]. 1120 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1106(a,1),189(a,1,1)),flip(b)]. 1121 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(150,a,102,a(flip),b,1107,a),flip(a)]. 1122 R(x,y,x) * T(y,x) = T(x * y,x). [para(32(a,2),1121(a,1,2))]. 1123 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(71,a,1122,a)]. 1124 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(77,a,1118,a),flip(a)]. 1125 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(624(a,1),1119(a,1,1)),flip(a)]. 1126 T(1 / x,K(x \ 1,x)) = L(x \ 1,x,x \ 1). [hyper(366,a,641,a)]. 1127 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(315(a,1),647(a,1,1,1))]. 1128 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(406(a,1),664(a,1,2,1)),flip(a)]. 1129 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(407(a,1),668(a,1,2,1)),flip(a)]. 1130 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(670(a,1),386(a,1,2)),flip(a)]. 1131 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(676(a,1),423(a,1,1)),flip(a)]. 1132 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(198,a,429,a(flip),b,706,a(flip))]. 1133 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(198,a,430,a(flip),b,707,a(flip))]. 1135 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(92(a,1),745(a,1,1,1,1))]. 1136 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(140(a,1),769(a,1,2,1,2))]. 1137 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(94(a,1),769(a,1,2,1,2))]. 1138 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(196(a,1),769(a,1,2,1,2))]. 1139 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(770(a,1),387(a,1,2)),flip(a)]. 1140 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(65,a,771,a(flip),b,171,a)]. 1141 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(65,a,772,a(flip),b,168,a),flip(a)]. 1142 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(66,a,779,a(flip),b,173,a),flip(a)]. 1143 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(798(a,1),399(a,1,2))]. 1144 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(876(a,1),836(a,1))]. 1145 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(198,a,662,a(flip),b,837,a)]. 1146 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1145(a,1),60(a,1,1))]. 1148 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(198,a,369,a(flip),b,848,a)]. 1149 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(955(a,1),849(a,1,1,1))]. 1150 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(853,a,966,a(flip))]. 1151 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(999(a,1),858(a,1))]. 1152 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(16(a,1),869(a,1,2,1))]. 1153 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(102(a,1),394(a,1,2))]. 1154 R(T(x \ y,x * z),x,z) != u | T((x * z) \ (y * z),x) = u. [para(42(a,2),690(a,1))]. 1156 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(94(a,1),718(a,1,2,1))]. 1158 (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(92(a,1),783(a,1,1))]. 1160 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(788(a,1),1040(a,1,1)),flip(a)]. 1161 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [hyper(198,a,952,a(flip),b,792,a(flip))]. 1162 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(809(a,1),1161(a,1,2)),flip(a)]. 1163 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(875(a,1),1161(a,1,2)),flip(a)]. 1164 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1099(a,2),1161(a,1,2)),flip(a)]. 1165 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(54(a,1),1164(a,1,1,1,2)),flip(a)]. 1167 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(167(a,2),1165(a,2,1))]. 1168 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1167(a,1,2,2)),flip(a)]. 1170 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1168(a,1),267(a,1))]. 1172 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(604,a,801,a)]. 1173 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(145(a,1),860(a,1,2,2))]. 1174 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(334,a,907,a),flip(a)]. 1175 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(161(a,1),1174(a,1,2)),flip(a)]. 1176 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(520,a,1175,a)]. 1177 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(519,a,1175,a),flip(a)]. 1178 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(267,a,1175,a),flip(a)]. 1179 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(71,a,1175,a)]. 1180 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(65,a,78,a(flip),b,1175,a)]. 1181 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(65,a,52,a(flip),b,1175,a),flip(a)]. 1182 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(150,a,1175,a(flip),b,220,a),flip(a)]. 1183 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(65,a,1175,a(flip),b,84,a)]. 1186 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(71,a,1181,a)]. 1187 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1181(a,1),26(a,2,1)),flip(a)]. 1188 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1181(a,1),171(a,1,2)),flip(a)]. 1189 x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). [para(32(a,2),1176(a,2,2))]. 1190 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(65,a,32,a,b,1177,a),flip(a)]. 1192 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1179(a,1),1148(a,1,1,1)),flip(a)]. 1193 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(167(a,2),1180(a,1,2))]. 1194 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(71,a,938,a)]. 1195 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(65,a,106,a(flip),b,938,a),flip(a)]. 1196 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),938(a,2,2,1,2))]. 1197 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(12(a,1),1195(a,2,2,1,2))]. 1198 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(198,a,354,a,b,1197,a),flip(a)]. 1199 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(65,a,354,a,b,1197,a),flip(a)]. 1200 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(1199(a,2),212(a,1,2)),flip(b)]. 1201 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(140(a,2),1199(a,1,1,1))]. 1202 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(1199(a,1),882(a,1,1))]. 1203 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1201(a,2),340(a,1,2)),flip(a)]. 1204 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(71,a,1196,a),flip(a)]. 1205 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(246(a,1),1196(a,1,2)),flip(a)]. 1206 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1080(a,2),1196(a,1,2)),flip(a)]. 1207 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(486,a,1206,a),flip(a)]. 1208 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(198,a,875,a(flip),b,1206,a(flip)),flip(a)]. 1209 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(198,a,868,a(flip),b,1206,a(flip))]. 1210 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1206(a,1,2,1)),flip(a)]. 1211 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(26(a,2),1206(a,2,2,1,2,2))]. 1212 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1206(a,2,2,1,2,2))]. 1213 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1207(a,1,1,2))]. 1214 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(32(a,2),1207(a,1,1,2,2))]. 1215 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(60(a,1),1207(a,2,2,2,1))]. 1216 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(13(a,1),1205(a,1,2,1)),flip(a)]. 1217 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(16(a,1),1208(a,1,1,1)),flip(a)]. 1219 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(66,a,362,a(flip),b,939,a)]. 1220 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(11(a,1),939(a,2,1,1,1))]. 1221 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(198,a,362,a(flip),b,1220,a)]. 1222 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(362(a,1),1221(a,1,1))]. 1223 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(246(a,1),1222(a,1,1))]. 1224 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1080(a,2),1222(a,1,1))]. 1225 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(77,a,1224,a),flip(a)]. 1226 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(15(a,1),1225(a,1,1,2))]. 1227 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1225(a,1,1,2,2))]. 1228 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1013(a,1),1225(a,2,1,2))]. 1229 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(653,a,1223,a(flip)),flip(a)]. 1230 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(108(a,1),993(a,1,2)),flip(a)]. 1231 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(57(a,1),1230(a,1,2,1,1)),flip(a)]. 1232 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(14(a,1),1043(a,1,2,1)),flip(a)]. 1234 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(40(a,2),1232(a,2,2))]. 1235 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(40(a,2),1234(a,1,1))]. 1236 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1197(a,1),1071(a,1,2)),flip(a)]. 1237 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(85(a,1),1236(a,2,2))]. 1238 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(13(a,1),1237(a,1,1,1))]. 1239 (x * y) * ((y * x) \ y) = y * K(x,y). [para(13(a,1),1238(a,2,2,1))]. 1240 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(65,a,1239,a(flip),b,79,a(flip))]. 1241 (x * y) * L(x \ 1,x,y) = y * K(x,y). [para(140(a,2),1239(a,1,2))]. 1244 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),1073(a,1,1)),flip(a)]. 1245 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(520,a,1244,a)]. 1246 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(331,a,1244,a),flip(a)]. 1247 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(267,a,1244,a),flip(a)]. 1248 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(65,a,78,a(flip),b,1244,a)]. 1249 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(65,a,52,a(flip),b,1244,a),flip(a)]. 1250 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(198,a,760,a,b,1246,a(flip)),flip(a)]. 1251 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(71,a,1249,a)]. 1252 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(374(a,1),1249(a,1,2,1)),flip(a)]. 1253 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(665,a,1245,a),flip(a)]. 1254 x \ (((y * x) / y) * z) != u | ((y * x) / y) * (x \ z) = u. [para(1247(a,1),191(a,1,2)),flip(b)]. 1255 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(750,a,1127,a),flip(a)]. 1256 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(1011,a,1141,a),flip(a)]. 1257 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(198,a,999,a(flip),b,1142,a(flip))]. 1258 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(11(a,1),1142(a,2,1,1,2))]. 1259 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),1257(a,1,1,1,2)),flip(a)]. 1260 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(858,a,1258,a)]. 1261 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(60(a,1),1260(a,1,2,1,2))]. 1262 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(485,a,1261,a),flip(a)]. 1263 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(362(a,1),1172(a,2,1))]. 1264 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1194(a,1,2,2,1,2)),flip(a)]. 1265 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(646(a,1),1194(a,1,2,2,1)),flip(a)]. 1266 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [hyper(65,a,1217,a(flip),b,1206,a)]. 1267 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(198,a,362,a(flip),b,1219,a)]. 1268 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(557(a,1),1255(a,1,1))]. 1269 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(198,a,792,a(flip),b,1263,a(flip)),flip(a)]. 1270 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(198,a,649,a(flip),b,1263,a(flip))]. 1271 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(150,a,1263,a(flip),b,792,a(flip)),flip(a)]. 1272 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),1263(a,1,2,1,2))]. 1273 (x * T(x \ (x * y),z)) * y = (x * y) * T(y,z). [para(13(a,1),1263(a,1,2,1)),flip(a)]. 1275 (x * T(y,z)) * y = (x * y) * T(y,z). [para(13(a,1),1273(a,1,1,2,1))]. 1276 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(518,a,1275,a)]. 1277 (1 / T(x,y)) * x = x / T(x,y). [hyper(503,a,1275,a),flip(a)]. 1278 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(261,a,1275,a),flip(a)]. 1279 (x * T(y,x * y)) * y = y * (x * y). [hyper(198,a,106,a(flip),b,1275,a)]. 1280 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(198,a,79,a(flip),b,1275,a)]. 1281 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(71,a,1275,a)]. 1282 (x * (y * x)) / x = y * T(x,y * x). [hyper(66,a,106,a(flip),b,1275,a)]. 1283 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(66,a,79,a(flip),b,1275,a)]. 1284 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(66,a,63,a(flip),b,1275,a),flip(a)]. 1287 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(106(a,1),1275(a,2,1))]. 1288 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(108(a,1),1275(a,1,1,2)),flip(a)]. 1289 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(71,a,1277,a)]. 1290 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1289(a,1),212(a,1,2)),flip(b)]. 1291 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1289(a,1),899(a,1,1)),flip(a)]. 1292 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1289(a,1),1266(a,2,1))]. 1295 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1022(a,2),1278(a,1,1))]. 1297 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [hyper(150,a,1280,a,b,14,a)]. 1298 (x / y) * T(y,x) = (y * x) / y. [hyper(66,a,106,a(flip),b,1280,a),flip(a)]. 1301 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(485,a,1298,a),flip(a)]. 1302 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(150,a,1298,a,b,14,a),flip(a)]. 1303 ((x * y) / x) / T(x,y) = y / x. [hyper(77,a,1298,a)]. 1305 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(311(a,1),1298(a,1,1)),flip(a)]. 1306 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(339(a,1),1298(a,1,1)),flip(a)]. 1307 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1298(a,1),1215(a,2,2))]. 1309 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1281(a,1),944(a,1,1)),flip(a)]. 1310 x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. [para(1282(a,2),191(a,1,2)),flip(b)]. 1312 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(634(a,1),1309(a,1,1,2))]. 1313 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1292(a,1),57(a,1,2))]. 1315 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1295(a,1),966(a,1,2)),flip(a)]. 1316 T(x * T(x \ y,y),x \ y) = y. [para(1301(a,1),144(a,1,1))]. 1318 T(x,y * T(y \ x,x)) = x. [para(1301(a,1),372(a,1,2))]. 1319 T(x,x * (y * T(y \ 1,x))) = x. [para(649(a,1),1318(a,1,2))]. 1320 T(x,x * K(y,x)) = x. [para(1198(a,2),1319(a,1,2,2))]. 1321 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1204(a,1),1319(a,1,2,2))]. 1322 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,1320,a)]. 1323 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1013(a,1),1321(a,1,2,2,2,2))]. 1324 T(x,x / (y \ 1)) != z | T(x,y * x) = z. [para(1256(a,1),1310(a,1))]. 1325 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(77,a,1315,a),flip(a)]. 1326 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),1323(a,1,2,2,2))]. 1327 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1326(a,1),38(a,1,1)),flip(a)]. 1328 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(198,a,959,a(flip),b,1327,a(flip)),flip(a)]. 1329 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1328(a,1),57(a,1,2))]. 1330 T(x / T(x,y),x) = T(x,y) \ x. [hyper(150,a,1276,a(flip),b,1329,a(flip))]. 1331 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1329(a,2),637(a,1,2))]. 1332 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1330(a,1),362(a,1,1)),flip(a)]. 1333 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(198,a,1022,a(flip),b,1325,a(flip))]. 1334 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(730,a,1333,a)]. 1335 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1257(a,1),1334(a,1,1))]. 1336 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1271(a,1,2,1,2)),flip(a)]. 1337 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(198,a,106,a(flip),b,1336,a)]. 1338 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(65,a,1336,a,b,xx)]. 1339 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(106(a,1),1337(a,1,1))]. 1340 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(66,a,1339,a,b,xx)]. 1341 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1339(a,2),56(a,1,2,1))]. 1342 x \ T(x * (y / x),x) = T(y,x) / x. [para(61(a,1),1340(a,1,1,1)),flip(a)]. 1343 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1340(a,1),208(a,1,1)),flip(b)]. 1346 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),1341(a,1,2,1,1,1))]. 1347 T(x * (y / x),x) = x * (T(y,x) / x). [para(61(a,1),1341(a,1,2,1,1)),flip(a)]. 1348 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(369(a,1),1342(a,1,2,1,2))]. 1349 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(740(a,2),1342(a,1,2,1,2))]. 1350 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(874(a,1),1346(a,1,2)),flip(a)]. 1351 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1338(a,1,2,1,2,1))]. 1352 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1342(a,1),1351(a,2,1))]. 1353 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1352(a,1),14(a,1,2)),flip(a)]. 1354 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(132(a,1),1353(a,2,2,1,1))]. 1355 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1353(a,2),191(a,1,2)),flip(b)]. 1356 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(198,a,792,a(flip),b,1272,a(flip)),flip(a)]. 1357 T(x,x * T(x \ 1,y)) = x. [hyper(150,a,649,a(flip),b,1272,a(flip))]. 1358 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1272(a,1),1214(a,2,2))]. 1359 T(x,(x \ 1) * x) = x. [para(106(a,1),1357(a,1,2))]. 1360 T(x,K(x \ 1,x)) = x. [para(246(a,1),1357(a,1,2))]. 1361 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1357(a,1),708(a,1,1))]. 1362 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(364(a,1),1357(a,1,2))]. 1363 T(x \ 1,x \ T(x,y)) = x \ 1. [para(867(a,1),1357(a,1,2))]. 1364 T(1 / x,T(x,y) / x) = 1 / x. [para(879(a,1),1357(a,1,2))]. 1365 R(x,x \ 1,x) = T(x,x \ 1). [para(1359(a,1),705(a,1,1))]. 1366 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(198,a,107,a(flip),b,1365,a)]. 1367 T(x,x \ 1) \ x = (x \ 1) * x. [para(1365(a,1),342(a,1,1))]. 1369 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(198,a,458,a,b,1366,a(flip)),flip(a)]. 1371 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1363,a)]. 1372 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1363(a,1),106(a,1,2))]. 1373 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1364(a,1),369(a,1,1,2)),flip(a)]. 1374 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(150,a,1367,a(flip),b,963,a),flip(a)]. 1376 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1369(a,1),16(a,1,1))]. 1377 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1369(a,1),189(a,1,1)),flip(b)]. 1378 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(107(a,1),1374(a,1,1)),flip(a)]. 1379 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(549,a,1376,a)]. 1380 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(198,a,107,a,b,1378,a),flip(a)]. 1381 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(60(a,1),1378(a,2,1,1))]. 1382 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1362(a,1),705(a,1,1))]. 1383 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1371(a,1),659(a,1,1)),flip(a)]. 1384 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [para(107(a,2),1380(a,1,2))]. 1385 T(x,1 / x) = (x \ 1) \ 1. [para(60(a,1),1381(a,1,1))]. 1386 T(x,1 / x) = T(x,x \ 1). [hyper(198,a,107,a,b,1385,a)]. 1388 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1385(a,1),711(a,1,1))]. 1389 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1385(a,1),926(a,1,1,1))]. 1390 R(x,1 / x,x) = T(x,x \ 1). [hyper(198,a,709,a,b,1386,a(flip)),flip(a)]. 1391 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1386(a,1),369(a,1,1,2))]. 1392 T(x,x \ 1) / x = K(x,1 / x). [para(1386(a,1),711(a,1,1))]. 1393 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1390(a,1),46(a,1,1)),flip(a)]. 1394 K(x,1 / x) * x = (x \ 1) \ 1. [para(1388(a,1),16(a,1,1))]. 1395 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(60(a,1),1388(a,1,1,1)),flip(a)]. 1396 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1393(a,1),626(a,1,2))]. 1397 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(60(a,1),1389(a,1,1,1,1)),flip(a)]. 1398 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1389(a,1),108(a,1,1))]. 1399 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(371,a,1391,a),flip(a)]. 1400 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(145(a,1),1399(a,1,1)),flip(a)]. 1401 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(198,a,658,a,b,1383,a),flip(a)]. 1402 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1401(a,2,1)),flip(a)]. 1403 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1402,a)]. 1404 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1402(a,1),106(a,1,2)),flip(a)]. 1405 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1402(a,1),215(a,1,2))]. 1406 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1403(a,1),364(a,1,2)),flip(a)]. 1407 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(160(a,1),1287(a,1,1))]. 1408 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(66,a,51,a(flip),b,1407,a)]. 1410 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(108(a,1),1288(a,1,2))]. 1411 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(144(a,1),1288(a,1,2)),flip(a)]. 1412 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(518,a,1410,a)]. 1413 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(517,a,1410,a),flip(a)]. 1414 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(503,a,1410,a),flip(a)]. 1415 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(66,a,79,a(flip),b,1410,a)]. 1416 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(150,a,1414,a,b,14,a),flip(a)]. 1417 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(198,a,1095,a(flip),b,1414,a(flip))]. 1418 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1414(a,1),151(a,2)),flip(a)]. 1419 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(106(a,1),1356(a,1,2)),flip(a)]. 1420 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(77,a,1419,a)]. 1421 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1063(a,1),1420(a,1,1,2,1))]. 1422 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(198,a,32,a,b,1358,a),flip(a)]. 1423 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1358(a,2),14(a,1,2)),flip(a)]. 1425 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(198,a,1080,a(flip),b,1422,a),flip(a)]. 1426 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(65,a,1422,a,b,1080,a(flip))]. 1427 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(176(a,1),1422(a,2,1,2))]. 1428 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(246(a,1),1422(a,1,1)),flip(a)]. 1429 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(867(a,1),1422(a,1,1))]. 1430 K(x \ (x / T(y,z)),x) = T(K(x \ (x / y),x),z). [para(1080(a,2),1422(a,1,1)),flip(a)]. 1431 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1203(a,2),1422(a,1,1)),flip(a)]. 1432 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1181(a,2),1427(a,1,2))]. 1433 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1384(a,1),1429(a,2,1,2,2))]. 1434 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(57(a,1),1430(a,2,1,1,2))]. 1435 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(107(a,1),1434(a,1,1,2,2)),flip(a)]. 1436 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(145(a,1),1400(a,1,1)),flip(a)]. 1437 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1436(a,1),1291(a,1,1))]. 1438 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1437(a,1),1284(a,1,1,1))]. 1439 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(198,a,14,a(flip),b,1406,a)]. 1441 T(x,K(x \ 1,y)) = x. [hyper(76,a,1439,a)]. 1442 T(1 / x,K(x,y)) = 1 / x. [para(60(a,1),1441(a,1,2,1))]. 1443 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1441(a,1),106(a,1,2))]. 1444 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1442(a,1),675(a,1,1)),flip(a)]. 1445 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(198,a,870,a(flip),b,1408,a)]. 1446 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1416(a,1),1082(a,1,1))]. 1447 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(215,a,1425,a),flip(a)]. 1449 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1363(a,1),1426(a,1,2,1,2)),flip(a)]. 1450 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(198,a,316,a(flip),b,1444,a)]. 1451 T(x / y,K(y / x,z)) = x / y. [para(11(a,1),1450(a,1,1,1))]. 1452 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1451(a,1),163(a,1,1)),flip(a)]. 1453 T(x \ y,K(x / y,z)) = x \ y. [hyper(198,a,108,a(flip),b,1452,a)]. 1454 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1264(a,1,1))]. 1455 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(106(a,1),1267(a,1,1)),flip(a)]. 1456 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(791(a,1),1267(a,1,1)),flip(a)]. 1457 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(792(a,1),1267(a,1,1))]. 1458 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1281(a,1),1267(a,1,1,2,1)),flip(a)]. 1459 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(198,a,1350,a,b,1269,a(flip)),flip(a)]. 1460 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1269(a,1,2,2,1,2,2))]. 1461 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1269(a,1,2,2,1,2,2)),flip(a)]. 1462 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(94(a,2),1269(a,1,2,2,1,2)),flip(a)]. 1463 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1355,a,1348,a),flip(a)]. 1464 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1411(a,1,1,2)),flip(a)]. 1465 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(518,a,1464,a)]. 1466 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(503,a,1464,a),flip(a)]. 1467 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1008(a,1),1464(a,1,1)),flip(a)]. 1468 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(77,a,1466,a)]. 1469 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(261,a,1467,a),flip(a)]. 1470 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(981,a,1469,a)]. 1472 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(77,a,1470,a)]. 1474 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(198,a,1259,a,b,1472,a(flip)),flip(a)]. 1475 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(13(a,1),1474(a,1,2,2,2)),flip(a)]. 1476 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(198,a,1429,a,b,1433,a)]. 1477 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1476(a,1),659(a,1,1)),flip(a)]. 1478 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(858,a,1438,a)]. 1479 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(14(a,1),1449(a,2,2,1))]. 1481 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(132(a,1),1479(a,2,2))]. 1485 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1461(a,1),193(a,1,2))]. 1486 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(809(a,1),1461(a,1,1)),flip(a)]. 1487 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1032(a,2),1461(a,1,1))]. 1488 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(963(a,1),1478(a,1,2,1))]. 1489 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(49(a,1),1487(a,2,2,2,1,2))]. 1491 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(246(a,1),1489(a,2,2))]. 1492 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(15(a,1),1491(a,1,1,1))]. 1493 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(737(a,1),1491(a,1,1,1))]. 1494 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(261,a,1492,a),flip(a)]. 1495 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(727,a,1494,a(flip)),flip(a)]. 1496 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(66,a,540,a(flip),b,742,a)]. 1497 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(11(a,1),1496(a,1,1,1))]. 1498 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),1496(a,1,1,1)),flip(a)]. 1499 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1497(a,1),1083(a,1,1,2))]. 1500 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(773(a,1),386(a,1,2)),flip(a)]. 1501 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(410(a,1),796(a,1,2,1))]. 1502 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(306(a,1),924(a,1,2))]. 1503 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1502(a,1),57(a,1,2))]. 1504 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(306(a,1),1047(a,1,1)),flip(a)]. 1505 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1504(a,1),14(a,1,2))]. 1506 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(198,a,13,a(flip),b,1505,a)]. 1507 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(150,a,1505,a,b,14,a)]. 1509 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(13(a,1),1506(a,1,2,1))]. 1510 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1192(a,2,1))]. 1511 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1510(a,1),363(a,1,1)),flip(a)]. 1512 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,161,a,b,1511,a),flip(a)]. 1513 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(365(a,1),1361(a,1,2)),flip(a)]. 1514 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(365(a,1),1513(a,1,2)),flip(a)]. 1515 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1514(a,1),46(a,1,1)),flip(a)]. 1516 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1514(a,1),1122(a,1,1))]. 1517 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(198,a,659,a(flip),b,1477,a)]. 1518 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(26(a,2),1517(a,2,1))]. 1519 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(26(a,2),1518(a,1,1))]. 1523 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(781,a,1001,a)]. 1524 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(759(a,1),1523(a,1,1))]. 1525 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(963(a,1),1524(a,1,1,2,1))]. 1526 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(834,a,1051,a),flip(a)]. 1527 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(57(a,1),1526(a,1,2)),flip(a)]. 1528 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(485,a,1527,a),flip(a)]. 1530 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1528(a,1),14(a,1,2))]. 1531 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(150,a,1530,a,b,14,a)]. 1533 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(167(a,2),904(a,1,1))]. 1534 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(768,a,909,a),flip(a)]. 1535 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(750,a,909,a)]. 1536 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(558(a,1),1534(a,1,1))]. 1537 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(518,a,1536,a)]. 1538 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(503,a,1536,a),flip(a)]. 1539 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(492,a,1536,a)]. 1540 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(198,a,51,a(flip),b,1536,a)]. 1541 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(71,a,1536,a)]. 1542 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(66,a,79,a(flip),b,1536,a)]. 1543 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(65,a,79,a(flip),b,1536,a)]. 1545 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1536(a,1),229(a,1,1))]. 1546 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(150,a,1538,a,b,14,a)]. 1548 R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). [para(1538(a,1),172(a,1,1)),flip(a)]. 1549 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1539(a,1),254(a,1,2)),flip(b)]. 1550 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(123(a,1),1539(a,1,1,1)),flip(a)]. 1551 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1541(a,1),944(a,1,1)),flip(a)]. 1552 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(92(a,1),1542(a,1,1)),flip(a)]. 1553 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1546(a,1),163(a,1,1))]. 1554 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1551(a,1),562(a,1,2))]. 1555 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(71,a,1552,a),flip(a)]. 1558 R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. [para(1548(a,2),20(a,1))]. 1559 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(758,a,910,a)]. 1560 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(858,a,942,a)]. 1561 ((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(102(a,1),942(a,1,2))]. 1562 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(781,a,1002,a)]. 1563 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1246(a,1),1562(a,1,1))]. 1564 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(77,a,1563,a)]. 1566 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(145(a,1),1563(a,1,1,2)),flip(a)]. 1567 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1564(a,1),890(a,1,3)),flip(a)]. 1568 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1566(a,1),1328(a,1,1,2,1))]. 1569 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1057(a,1),338(a,1))]. 1570 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(198,a,162,a(flip),b,1061,a)]. 1571 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(963(a,1),1570(a,1,2,1,2))]. 1572 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(60(a,1),1094(a,1,2)),flip(a)]. 1573 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1572(a,2,1,1))]. 1574 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(57(a,1),1101(a,1,1,2,1))]. 1575 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(193,a,1114,a),flip(a)]. 1576 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(71,a,1128,a)]. 1577 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(14(a,1),1129(a,2,2,1,2))]. 1578 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(71,a,1130,a)]. 1579 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1131(a,2,1,1,1))]. 1580 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(198,a,567,a(flip),b,1579,a)]. 1581 R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. [hyper(66,a,12,a(flip),b,1579,a),flip(a)]. 1582 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(55(a,1),1581(a,2,1,1))]. 1583 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(758,a,1582,a)]. 1584 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(60(a,1),1583(a,1,2,1))]. 1585 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(150,a,1584,a,b,14,a),flip(a)]. 1586 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1584(a,1),151(a,2)),flip(a)]. 1587 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1584(a,1),94(a,2,1))]. 1588 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1585(a,1),625(a,1,1,2))]. 1589 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(567(a,1),1580(a,1,1))]. 1590 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(77,a,1589,a),flip(a)]. 1591 (((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),1590(a,1,1)),flip(a)]. 1592 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(198,a,397,a(flip),b,1135,a)]. 1593 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(106(a,1),1592(a,1,1,1,1,2))]. 1594 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(162(a,1),1593(a,2,2))]. 1595 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1012,a,1136,a)]. 1596 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1011,a,1136,a),flip(a)]. 1597 (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(92(a,1),1136(a,1,1))]. 1598 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(66,a,1595,a(flip),b,870,a)]. 1599 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1595(a,2),1524(a,1,1)),flip(a)]. 1601 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1478(a,1),1596(a,1,2))]. 1602 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1062(a,1),1598(a,1,1,2,1))]. 1603 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(71,a,1139,a)]. 1604 (x \ (y / (1 / x))) * x = T(y,x) / (1 / x). [hyper(66,a,1341,a(flip),b,1163,a),flip(a)]. 1605 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1277(a,1),1173(a,1,2))]. 1606 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(57(a,1),1231(a,1,1,1)),flip(a)]. 1607 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(649(a,1),1270(a,1,1))]. 1608 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(163(a,1),1516(a,1,2))]. 1609 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(198,a,1354,a(flip),b,1608,a)]. 1610 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(557(a,1),1535(a,2,1))]. 1611 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(567(a,1),1559(a,2,1))]. 1612 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(759(a,1),1560(a,2,1))]. 1613 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1576(a,1,2,2,1,2)),flip(a)]. 1614 (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),1613(a,1,1)),flip(a)]. 1615 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1578(a,1,2,2,1,2)),flip(a)]. 1616 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1603(a,1,2,2,1))]. 1617 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(380,a,1616,a)]. 1618 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1616(a,1),380(a,1))]. 1619 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(198,a,1250,a(flip),b,1617,a)]. 1620 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(57(a,1),1617(a,1,2,1)),flip(a)]. 1621 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(884(a,1),1617(a,1,2)),flip(a)]. 1622 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(930(a,1),1617(a,1,2)),flip(a)]. 1623 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1313(a,1),1617(a,1,2)),flip(a)]. 1624 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1468(a,1),1617(a,1,2)),flip(a)]. 1625 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1617(a,2),1596(a,1,2))]. 1626 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [para(1619(a,2),14(a,1,2))]. 1627 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(963(a,1),1619(a,2,2,1))]. 1628 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1062(a,1),1619(a,2,2,1))]. 1629 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(57(a,1),1625(a,1,2,2,1)),flip(a)]. 1630 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(101(a,2),1629(a,1,2))]. 1631 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1630(a,2,2,2))]. 1632 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1631(a,1),955(a,1,2,1)),flip(a)]. 1633 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(364(a,2),1621(a,1,2,1))]. 1634 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1631(a,1),1632(a,1,1)),flip(a)]. 1635 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(12(a,1),1634(a,1,2)),flip(a)]. 1636 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(198,a,13,a(flip),b,1635,a)]. 1637 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(150,a,1635,a,b,205,a(flip))]. 1638 K(x,y) / (x \ 1) = x * K(x,y). [hyper(66,a,13,a(flip),b,1635,a)]. 1643 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(198,a,906,a(flip),b,1610,a(flip)),flip(a)]. 1644 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(198,a,787,a(flip),b,1610,a(flip))]. 1645 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(150,a,1610,a(flip),b,906,a(flip)),flip(a)]. 1646 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),1610(a,1,2,1,2))]. 1647 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(16(a,1),1610(a,1,2,1,2)),flip(a)]. 1649 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1645(a,1,2,1,2)),flip(a)]. 1650 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(65,a,1649,a,b,xx)]. 1651 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1650(a,1,2,1,2,1)),flip(a)]. 1652 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1342(a,1),1651(a,1,1)),flip(a)]. 1653 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(198,a,1349,a(flip),b,1652,a(flip))]. 1654 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(198,a,906,a(flip),b,1646,a(flip)),flip(a)]. 1655 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(198,a,905,a(flip),b,1646,a(flip)),flip(a)]. 1656 T(x,x * L(x \ 1,y,z)) = x. [hyper(150,a,787,a(flip),b,1646,a(flip))]. 1657 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(150,a,1646,a(flip),b,399,a(flip))]. 1659 K(x,x * L(x \ 1,y,z)) = 1. [hyper(36,a,1656,a)]. 1660 T(x,x * ((y * x) \ y)) = x. [para(140(a,1),1656(a,1,2,2))]. 1661 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(306(a,1),1656(a,1,2,2))]. 1662 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(559(a,1),1656(a,1,2))]. 1663 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1573(a,1),1656(a,1,2))]. 1664 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(881(a,1),1660(a,1,2,2,1))]. 1665 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1663(a,1),369(a,1,1,2)),flip(a)]. 1666 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1661(a,1),634(a,1,2)),flip(a)]. 1667 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1662(a,1),705(a,1,1))]. 1668 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,1664,a)]. 1669 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(18,a,736,a,b,1666,a)]. 1670 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(66,a,1577,a(flip),b,1654,a(flip)),flip(a)]. 1671 (((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),1670(a,1,1)),flip(a)]. 1672 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(198,a,904,a(flip),b,1611,a(flip)),flip(a)]. 1673 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(150,a,1611,a(flip),b,1130,a),flip(a)]. 1674 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(150,a,1611,a(flip),b,904,a(flip)),flip(a)]. 1675 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(65,a,1611,a(flip),b,1130,a),flip(a)]. 1676 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),1611(a,1,2,1,2))]. 1677 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1611(a,1,2,1)),flip(a)]. 1680 (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(630(a,1),1611(a,1,2,1)),flip(a)]. 1681 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1677(a,1,1,2,1))]. 1682 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(503,a,1681,a),flip(a)]. 1683 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(261,a,1681,a),flip(a)]. 1684 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(71,a,1681,a)]. 1685 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(66,a,79,a(flip),b,1681,a)]. 1686 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(65,a,79,a(flip),b,1681,a)]. 1687 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1683(a,1),255(a,1,1)),flip(b)]. 1688 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1684(a,1),944(a,1,1)),flip(a)]. 1689 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1684(a,1),1263(a,1,2,1)),flip(a)]. 1690 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(806,a,1688,a)]. 1691 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1688(a,1),162(a,1,2)),flip(a)]. 1692 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1688(a,1),562(a,1,2))]. 1693 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(66,a,51,a(flip),b,1692,a)]. 1695 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(1019(a,1),1692(a,1,1)),flip(a)]. 1696 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(613,a,1693,a)]. 1697 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1674(a,1,2,1,2)),flip(a)]. 1698 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(66,a,1697,a,b,567,a)]. 1699 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(65,a,1697,a,b,xx)]. 1700 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(132(a,1),1697(a,2,2,1,2))]. 1701 T(x,x * R(x \ 1,y,z)) = x. [hyper(35,a,1700,a)]. 1702 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1700(a,1),1347(a,2,2,1))]. 1703 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(60(a,1),1701(a,1,2,2,1))]. 1704 T(x,(y / (x * y)) * x) = x. [para(580(a,2),1701(a,1,2))]. 1705 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(570(a,1),1701(a,1,2))]. 1706 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1060(a,1),1701(a,1,2))]. 1707 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1704(a,1),1150(a,1,1,1)),flip(a)]. 1708 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1706(a,1),38(a,1,1)),flip(a)]. 1709 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1703(a,1),636(a,1,1,2))]. 1710 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1705(a,1),705(a,1,1))]. 1711 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),1698(a,1,1,1,2,1)),flip(a)]. 1713 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(198,a,904,a(flip),b,1676,a(flip)),flip(a)]. 1715 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(198,a,108,a(flip),b,1690,a)]. 1716 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [para(1715(a,1),14(a,1,2))]. 1717 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [hyper(66,a,11,a(flip),b,1716,a)]. 1718 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(141(a,1),1716(a,1,1,2))]. 1719 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(316(a,1),1717(a,1,1)),flip(a)]. 1720 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(198,a,11,a(flip),b,1718,a)]. 1721 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(14(a,1),1720(a,1,1,2,2))]. 1722 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(13(a,1),1713(a,1,2,2,1,2))]. 1723 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(316(a,1),1719(a,1,2)),flip(a)]. 1724 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1723(a,1),16(a,1,1))]. 1725 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(57(a,1),1723(a,1,1)),flip(a)]. 1727 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(57(a,1),1725(a,1,2)),flip(a)]. 1728 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1727(a,1),1498(a,1,2,1,2))]. 1729 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(198,a,1136,a(flip),b,1612,a(flip))]. 1731 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1260(a,1),1729(a,1,1)),flip(a)]. 1733 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(13(a,1),1689(a,1,1,2,1))]. 1734 (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). [hyper(66,a,79,a(flip),b,1733,a)]. 1735 (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). [para(106(a,1),1734(a,1,1)),flip(a)]. 1736 T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). [hyper(150,a,1735,a,b,14,a),flip(a)]. 1738 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(574(a,1),1707(a,1,2))]. 1739 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(780(a,1),856(a,1,1))]. 1740 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(832(a,1),1739(a,1,1,1,2)),flip(a)]. 1741 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(172(a,1),1017(a,1,2))]. 1742 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(42(a,2),1741(a,1,1,1))]. 1743 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(351(a,1),1742(a,1,1))]. 1744 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1743(a,1),38(a,1,1)),flip(a)]. 1745 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(863(a,1),1744(a,1,1))]. 1746 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1745(a,1,1)),flip(a)]. 1747 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(440(a,1),1746(a,2,2))]. 1748 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1747(a,1,1))]. 1749 T(x,x * (y \ 1)) = T(x,y \ x). [para(108(a,1),1748(a,1,2)),flip(a)]. 1750 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(168(a,1),1421(a,1,1))]. 1751 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(446(a,1),1525(a,2,2))]. 1752 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),1751(a,2,2,1))]. 1753 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1488(a,1),1752(a,1,1))]. 1754 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(208,a,1753,a)]. 1756 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(198,a,1601,a,b,1754,a(flip)),flip(a)]. 1757 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1488(a,2),1756(a,1,2))]. 1759 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1709(a,1),1067(a,1,1))]. 1760 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(751,a,1759,a)]. 1761 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(14(a,1),1125(a,1,2,1)),flip(a)]. 1763 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(198,a,1612,a(flip),b,1137,a(flip))]. 1764 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(150,a,1263,a(flip),b,1143,a(flip)),flip(a)]. 1765 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(989(a,1),1143(a,2,2))]. 1766 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(26(a,2),1765(a,1,2,1)),flip(a)]. 1767 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(26(a,2),1211(a,1,2,1)),flip(a)]. 1768 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1080(a,1),1767(a,1,2))]. 1769 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(71,a,1768,a)]. 1770 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1661(a,1),1213(a,2,2,2))]. 1771 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(14(a,1),1228(a,2,1))]. 1772 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(106(a,1),1486(a,1,2)),flip(a)]. 1773 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1100(a,2),1486(a,1,2)),flip(a)]. 1774 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1343,a,1772,a)]. 1775 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(61(a,1),1774(a,1,1))]. 1776 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),1775(a,2,2,1,2)),flip(a)]. 1777 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),1776(a,1,2,1)),flip(a)]. 1778 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [para(60(a,1),1776(a,1,2,1)),flip(a)]. 1779 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(85(a,1),1776(a,1,2,1)),flip(a)]. 1780 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1776(a,1),377(a,1,2))]. 1781 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(1777(a,2),19(a,1))]. 1782 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1777(a,1),106(a,1,2)),flip(a)]. 1783 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(198,a,168,a(flip),b,1782,a)]. 1784 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(71,a,1500,a)]. 1785 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),1500(a,2,2,1,2,2))]. 1786 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1617(a,2),1500(a,1,2))]. 1787 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(12(a,1),1786(a,2,2,1,2,2))]. 1788 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),1787(a,1,2,2,1,2)),flip(a)]. 1789 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(150,a,1612,a(flip),b,1788,a(flip))]. 1790 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(198,a,1617,a(flip),b,1789,a),flip(a)]. 1791 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(14(a,1),1789(a,1,1,2,1)),flip(a)]. 1792 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1620(a,1),1789(a,1,1)),flip(a)]. 1793 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [hyper(198,a,1617,a(flip),b,1791,a(flip)),flip(a)]. 1794 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1453(a,1),1792(a,1,2,1,2)),flip(a)]. 1795 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(963(a,1),1793(a,1,2,1))]. 1796 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(57(a,1),1794(a,2,2,1))]. 1797 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(15(a,1),1796(a,1,1,2))]. 1798 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(15(a,1),1797(a,1,2,1))]. 1799 T(K(x,y),K(y,z)) = K(x,y). [para(15(a,1),1798(a,2,2))]. 1801 T(K(x,y),K(z,x)) = K(x,y). [hyper(35,a,1799,a)]. 1802 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1799(a,1),106(a,1,2))]. 1803 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1799(a,1),215(a,1,2))]. 1804 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1799(a,1),161(a,1,2,1)),flip(a)]. 1805 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(1799(a,1),162(a,1,2,1)),flip(a)]. 1806 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(1799(a,1),334(a,1,2,1))]. 1807 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1801(a,1),215(a,1,2))]. 1812 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(364(a,2),1790(a,2,1,2,1)),flip(a)]. 1813 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(14(a,1),1571(a,1,2,1)),flip(a)]. 1814 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(990(a,1),1623(a,1,2,1))]. 1815 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1249(a,1),1624(a,1,2,1))]. 1816 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(787(a,1),1644(a,1,1))]. 1817 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(66,a,79,a(flip),b,1816,a)]. 1818 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(304(a,1),1816(a,1,1,2,2)),flip(a)]. 1819 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(304(a,1),1818(a,1,2,2)),flip(a)]. 1820 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1646(a,1),1655(a,1,2)),flip(a)]. 1821 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1038(a,1),1820(a,1,1)),flip(a)]. 1822 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1673(a,1,1))]. 1823 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1822(a,1,2,1,1))]. 1824 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),1823(a,2,1,2,1))]. 1825 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(573(a,1),1702(a,2,2))]. 1826 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(573(a,1),1825(a,1,1,2))]. 1827 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(141(a,1),1826(a,1,1,2))]. 1828 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(141(a,1),1827(a,2,2))]. 1829 T(x,x * (y / (x * y))) = x. [hyper(35,a,1828,a)]. 1830 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(198,a,1738,a,b,1828,a(flip)),flip(a)]. 1831 T(x,x * ((x \ y) / y)) = x. [para(14(a,1),1829(a,1,2,2,2))]. 1832 T(x / y,(x / y) * (y / x)) = x / y. [para(16(a,1),1829(a,1,2,2,2))]. 1833 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1831(a,1),233(a,1,1)),flip(a)]. 1834 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1832(a,1),163(a,1,1)),flip(a)]. 1835 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(198,a,108,a(flip),b,1834,a)]. 1836 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1835(a,1),1226(a,2,1,2))]. 1837 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1833(a,1),1226(a,2,1,2))]. 1838 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1676(a,1),1722(a,1,2)),flip(a)]. 1839 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1060(a,1),1838(a,1,1)),flip(a)]. 1840 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(198,a,209,a(flip),b,1770,a)]. 1842 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1840(a,1),1035(a,1,1)),flip(a)]. 1843 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(198,a,1507,a(flip),b,1842,a(flip)),flip(a)]. 1844 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(338,a,1843,a)]. 1845 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1843(a,1,1,2))]. 1846 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1844(a,1,3))]. 1847 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1844(a,1),1613(a,1,2)),flip(a)]. 1848 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1845(a,2,2))]. 1849 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1848(a,1),14(a,1,2))]. 1850 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1848(a,1),57(a,1,2))]. 1851 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(140(a,2),1849(a,1,1,1)),flip(a)]. 1852 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1850(a,1),1087(a,2,1,1,2)),flip(a)]. 1853 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(546,a,1851,a)]. 1854 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(657,a,1846,a)]. 1855 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(54(a,1),1773(a,1,1,2,1,2)),flip(a)]. 1856 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(12(a,1),1855(a,2,1,2,1))]. 1858 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(17,a,206,a(flip),b,1856,a)]. 1859 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),1784(a,1,2,2,1,2,2)),flip(a)]. 1860 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(14(a,1),1836(a,2,1))]. 1861 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(198,a,54,a(flip),b,1860,a)]. 1863 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(397(a,1),756(a,1,1)),flip(a)]. 1864 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(198,a,1373,a(flip),b,888,a(flip)),flip(a)]. 1866 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1864(a,1),608(a,1,1))]. 1867 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(751,a,1866,a),flip(a)]. 1868 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1867(a,1),1621(a,1,2))]. 1869 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(306(a,1),1044(a,1,2,2))]. 1870 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(1869(a,1),14(a,1,2))]. 1871 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1870(a,1),760(a,1,2,1))]. 1872 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1870(a,1),1617(a,2,2,1)),flip(a)]. 1874 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(198,a,396,a(flip),b,1305,a)]. 1875 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1874(a,1),1246(a,1,1)),flip(a)]. 1876 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(1874(a,1),1251(a,1,2,1)),flip(a)]. 1877 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1874(a,1),1261(a,1,2)),flip(a)]. 1878 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(198,a,1566,a(flip),b,1568,a)]. 1879 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1178(a,1),554(a,1,1))]. 1880 L(x,y,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. [para(585(a,1),724(a,1))]. 1881 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(106(a,1),797(a,1,2,1,1)),flip(a)]. 1882 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(150,a,1676,a(flip),b,1881,a),flip(a)]. 1883 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(581,a,1882,a),flip(a)]. 1884 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(870(a,1),1883(a,2,1,2))]. 1885 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1382(a,1),1884(a,1,1,2)),flip(a)]. 1886 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(18,a,1447,a(flip),b,1885,a)]. 1887 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1886(a,1),108(a,1,1))]. 1888 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(198,a,1481,a(flip),b,1887,a(flip))]. 1890 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(655(a,1),1888(a,1,1))]. 1891 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(1888(a,1),1858(a,1,2,2))]. 1892 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(71,a,1891,a),flip(a)]. 1894 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(60(a,1),1890(a,1,2))]. 1895 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(1894(a,1),57(a,1,2))]. 1896 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1080(a,2),1894(a,1,1))]. 1897 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(116(a,1),925(a,1,1,1,1)),flip(a)]. 1898 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(941,a,1897,a)]. 1899 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(60(a,1),1898(a,1,2,1,1))]. 1900 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),1117(a,1,2,1)),flip(a)]. 1901 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(108(a,1),1900(a,1,1)),flip(a)]. 1902 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(108(a,1),1901(a,1,2)),flip(a)]. 1903 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),1902(a,1,1)),flip(a)]. 1904 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),1903(a,1,2)),flip(a)]. 1905 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(374(a,1),1252(a,1,1)),flip(a)]. 1909 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1454(a,1,2,1,1)),flip(a)]. 1910 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(792(a,1),1909(a,1,2))]. 1911 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1485,a,1910,a),flip(a)]. 1912 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),1911(a,1,2,1,2)),flip(a)]. 1913 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(145(a,1),1912(a,1,1,2,1,2)),flip(a)]. 1914 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(150,a,1647,a,b,1501,a(flip))]. 1915 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(150,a,1610,a(flip),b,1501,a(flip)),flip(a)]. 1916 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),1501(a,1,2,1,2)),flip(a)]. 1917 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(150,a,1646,a(flip),b,1916,a),flip(a)]. 1918 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(71,a,1917,a)]. 1919 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1917(a,1),19(a,1))]. 1920 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(140(a,1),1917(a,1,2)),flip(a)]. 1921 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(666(a,1),1917(a,2,1,2))]. 1922 T(x,y) * L(T(x,y) \ 1,z,u) != w | T(x * L(x \ 1,z,u),y) = w. [para(1918(a,1),212(a,1,2)),flip(b)]. 1923 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(306(a,1),1918(a,1,2,1,2))]. 1924 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(881(a,1),1920(a,2,2,1))]. 1925 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(974(a,1),1921(a,1,2))]. 1926 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(130(a,1),1925(a,2,1,2))]. 1927 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(17,a,1795,a,b,1926,a)]. 1929 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(150,a,1927,a,b,14,a),flip(a)]. 1931 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1927(a,1),975(a,1,1))]. 1932 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(327,a,1931,a),flip(a)]. 1933 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(198,a,971,a(flip),b,1932,a)]. 1934 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(1932(a,2),973(a,1))]. 1935 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(1929(a,1),1032(a,2,2,1)),flip(a)]. 1936 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1868(a,1),1924(a,1,1)),flip(a)]. 1937 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(570(a,1),1675(a,2,2,1))]. 1938 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1260(a,1),1731(a,1,2)),flip(a)]. 1939 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(77,a,1938,a)]. 1940 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1939(a,1),777(a,1,1))]. 1941 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(198,a,197,a(flip),b,1940,a(flip))]. 1942 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1941(a,1),608(a,1,1))]. 1943 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(327,a,1942,a),flip(a)]. 1944 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(198,a,26,a,b,1943,a),flip(a)]. 1945 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),1944(a,2,1,2)),flip(a)]. 1946 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(1945(a,1),16(a,1,1))]. 1947 x / (1 / (1 / x)) = K(x,1 / x). [para(766(a,1),1945(a,1,1))]. 1948 K(x,1 / x) * (1 / (1 / x)) = x. [para(1947(a,1),16(a,1,1))]. 1949 L(x,1 / x,x) = 1 / (1 / x). [hyper(548,a,1948,a)]. 1950 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1949(a,1),40(a,2,1))]. 1951 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(198,a,683,a(flip),b,1946,a)]. 1952 T(1 / x,K(y,x)) = 1 / x. [hyper(151,a,1946,a)]. 1953 K(1 / x,K(y,x)) = 1. [hyper(36,a,1952,a)]. 1954 L(x \ 1,x,x \ 1) = 1 / x. [hyper(198,a,1126,a(flip),b,1952,a(flip)),flip(a)]. 1955 T(x \ 1,K(y,x)) = T(1 / x,x). [para(1952(a,1),163(a,1,1)),flip(a)]. 1956 K(x,y) * L(1 / y,z,u) != w | L(1 / y,z,u) * K(x,y) = w. [para(1952(a,1),334(a,1,2,1))]. 1957 K(x,K(y,x \ 1)) = 1. [para(57(a,1),1953(a,1,1))]. 1958 T(x,K(y,x \ 1)) = x. [hyper(37,a,1957,a)]. 1959 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(1958(a,1),161(a,1,2,1)),flip(a)]. 1961 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1954(a,1),40(a,2,1))]. 1962 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1954(a,1),45(a,1,1)),flip(a)]. 1963 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1954(a,1),311(a,1,2))]. 1964 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1954(a,1),1268(a,1,1,2)),flip(a)]. 1965 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1954(a,1),1654(a,2,1,2))]. 1966 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1951(a,1),255(a,1,1)),flip(b)]. 1967 T(x \ 1,K(y,x)) = x \ 1. [hyper(198,a,108,a(flip),b,1955,a)]. 1968 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(1967(a,1),308(a,2,1))]. 1969 T(1 / (1 / x),x \ 1) = x. [hyper(1418,a,1963,a)]. 1970 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1969(a,1),38(a,1,1)),flip(a)]. 1971 T(x,x \ 1) / x = K(x,x \ 1). [para(1969(a,1),1446(a,1,1)),flip(a)]. 1972 K(x,1 / x) = K(x,x \ 1). [hyper(198,a,1392,a(flip),b,1971,a(flip)),flip(a)]. 1973 K(x,x \ 1) * x = T(x,x \ 1). [para(1971(a,1),16(a,1,1))]. 1974 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(107(a,1),1971(a,1,1))]. 1975 K(x,x \ 1) = x * (1 / x). [hyper(325,a,1972,a),flip(a)]. 1976 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(198,a,1947,a,b,1972,a(flip)),flip(a)]. 1977 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(198,a,602,a,b,1972,a(flip)),flip(a)]. 1978 x \ K(x,x \ 1) = 1 / x. [hyper(65,a,1972,a(flip),b,170,a(flip))]. 1979 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(57(a,1),1972(a,1,2)),flip(a)]. 1980 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1972(a,1),359(a,1,1))]. 1981 K(x,x \ 1) != y | x * (1 / x) = y. [para(1972(a,1),325(a,1))]. 1982 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1972(a,1),766(a,1,2))]. 1983 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1972(a,1),1394(a,1,1))]. 1984 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(198,a,1847,a,b,1975,a),flip(a)]. 1985 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(198,a,358,a,b,1975,a(flip)),flip(a)]. 1987 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1975(a,2),984(a,1,2))]. 1988 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1975(a,2),792(a,1,1))]. 1989 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1975(a,2),1175(a,1,2))]. 1990 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1975(a,2),1180(a,1,2))]. 1991 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1975(a,2),1795(a,2,1))]. 1992 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1975(a,2),1819(a,1,1,2))]. 1994 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1973(a,1),92(a,1,1))]. 1995 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1973(a,1),390(a,1,1))]. 1996 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) != z | L(y,K(y,y \ 1),x) = z. [para(1973(a,1),400(a,1,2,2))]. 1997 K(x,x \ 1) \ x = 1 / (1 / x). [para(1976(a,1),60(a,1,1))]. 1998 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1982(a,1),92(a,1,1))]. 1999 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1982(a,1),102(a,1,2))]. 2000 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1982(a,1),103(a,2,2))]. 2002 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(198,a,903,a,b,1950,a(flip)),flip(a)]. 2003 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1961(a,1),402(a,1,2))]. 2004 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(1966,a,1417,a),flip(a)]. 2005 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(1966,a,1395,a(flip)),flip(a)]. 2007 x * K(x \ 1,x) = 1 / (1 / x). [para(2004(a,1),14(a,1,2))]. 2008 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(2004(a,1),962(a,1,2,2))]. 2010 L(x,x \ 1,x) = 1 / (1 / x). [hyper(733,a,2007,a)]. 2012 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(2010(a,1),40(a,2,1))]. 2013 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(2010(a,1),44(a,1,1)),flip(a)]. 2014 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(2010(a,1),732(a,1))]. 2015 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(198,a,1972,a(flip),b,2005,a(flip)),flip(a)]. 2016 K(1 / x,x) = K(x \ 1,x). [para(60(a,1),2015(a,1,2))]. 2017 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(198,a,1980,a,b,2016,a(flip)),flip(a)]. 2018 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(57(a,1),2016(a,1,1)),flip(a)]. 2019 x * K(1 / x,x) = 1 / (1 / x). [para(2016(a,2),2007(a,1,2))]. 2020 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(2018(a,1),1167(a,1,2,1))]. 2021 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(14(a,1),1968(a,1,1,1))]. 2022 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(66,a,2012,a(flip),b,168,a)]. 2023 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1962(a,1),402(a,1,2))]. 2025 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(2013(a,1),1750(a,1,1))]. 2026 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1991(a,1),1757(a,1,2))]. 2027 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2026(a,1),19(a,1))]. 2028 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1975(a,2),1992(a,2,2))]. 2029 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(71,a,2028,a)]. 2030 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(66,a,221,a(flip),b,2028,a),flip(a)]. 2031 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(66,a,79,a(flip),b,2028,a)]. 2032 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(1405,a,2030,a)]. 2033 (x \ 1) * K(x,1 / x) = 1 / x. [para(1972(a,2),2030(a,1,2))]. 2034 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(2032(a,1),451(a,1,1))]. 2035 (1 / x) / K(x,1 / x) = x \ 1. [hyper(77,a,2033,a)]. 2036 R(1 / x,x,1 / x) = x \ 1. [hyper(599,a,2035,a)]. 2037 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(2036(a,1),318(a,1,1)),flip(a)]. 2038 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(2037(a,1),128(a,1,1))]. 2039 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(2029(a,1),944(a,1,1)),flip(a)]. 2041 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(2031(a,1),327(a,1,1))]. 2042 T(x \ y,K(z,y \ x)) = x \ y. [hyper(198,a,306,a(flip),b,2021,a)]. 2043 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2042(a,1),106(a,1,2))]. 2044 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(198,a,1959,a(flip),b,1989,a(flip)),flip(a)]. 2046 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2002(a,1),14(a,1,2))]. 2047 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1972(a,1),2046(a,1,1))]. 2048 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1997(a,2),2047(a,1,2,1))]. 2049 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1975(a,2),1964(a,2,1))]. 2050 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(2049(a,1),1965(a,1,2))]. 2051 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(17,a,92,a(flip),b,2050,a)]. 2052 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1975(a,2),2050(a,2,1))]. 2054 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(17,a,2044,a(flip),b,2052,a)]. 2055 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),2052(a,1,2,2)),flip(a)]. 2057 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(32(a,2),2052(a,1,2,2))]. 2058 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(2015(a,1),2052(a,1,2,1))]. 2060 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(2051(a,1),19(a,1)),flip(a)]. 2061 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(198,a,1397,a(flip),b,2054,a)]. 2062 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(2003(a,1),551(a,1,2))]. 2063 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2048(a,1),900(a,1,1))]. 2064 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1984(a,1),14(a,1,2)),flip(a)]. 2065 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(198,a,2055,a(flip),b,1994,a)]. 2066 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(198,a,1975,a,b,2038,a)]. 2067 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1956,a,2023,a)]. 2068 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2067(a,1),1493(a,1,1))]. 2069 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(2018(a,1),2020(a,2,1))]. 2070 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(71,a,2069,a)]. 2071 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(349(a,1),2058(a,1,2,2)),flip(a)]. 2072 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(2017(a,1),2063(a,1,2))]. 2073 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(2017(a,1),2072(a,2,1,2))]. 2074 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2007(a,1),2073(a,2,1))]. 2076 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(198,a,1816,a(flip),b,2068,a(flip)),flip(a)]. 2078 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(167(a,2),2076(a,1,1))]. 2079 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(247(a,1),1740(a,1,2,1,2)),flip(a)]. 2080 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(145(a,1),2079(a,1,1)),flip(a)]. 2081 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(145(a,1),2080(a,1,2)),flip(a)]. 2082 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2081(a,1),1627(a,1,2,1)),flip(a)]. 2083 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(15(a,1),2082(a,2,2))]. 2084 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2083(a,1),14(a,1,2))]. 2087 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1612(a,1),1763(a,1,2)),flip(a)]. 2088 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1617(a,2),2087(a,1,1))]. 2089 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(147(a,1),1837(a,2,1))]. 2090 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(198,a,54,a(flip),b,2089,a)]. 2092 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2090(a,1),1035(a,1,1)),flip(a)]. 2093 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(198,a,1531,a(flip),b,2092,a(flip)),flip(a)]. 2094 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(60(a,1),2093(a,1,1,2,1))]. 2095 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(60(a,1),2094(a,2,2,1))]. 2096 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2095(a,1),14(a,1,2))]. 2097 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2095(a,1),1861(a,1,1))]. 2098 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(15(a,1),2097(a,1,1,2))]. 2099 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(66,a,15,a(flip),b,2096,a),flip(a)]. 2100 K(1 / x,(y / (x * y)) * x) = 1. [para(15(a,1),2098(a,1,2,2))]. 2101 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(37,a,2100,a)]. 2102 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1569,a,2101,a)]. 2103 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(14(a,1),2102(a,1,3,2))]. 2104 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(141(a,2),2102(a,1,3))]. 2105 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2102(a,1),305(a,1,2))]. 2106 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2103(a,1),305(a,1,2))]. 2107 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2104(a,1),311(a,1,2))]. 2108 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2105(a,1),2066(a,1,2))]. 2109 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2108(a,1),14(a,1,2)),flip(a)]. 2111 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1586,a,2107,a)]. 2112 T(1 / (1 / x),y / (x * y)) = x. [para(141(a,1),2111(a,1,2))]. 2113 T(x,y / (x * y)) = T(x,x \ 1). [para(2112(a,1),1970(a,1,1)),flip(a)]. 2114 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(198,a,107,a(flip),b,2113,a)]. 2115 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2113(a,1),1229(a,2,1))]. 2116 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),2114(a,1,2,2))]. 2117 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2116(a,1),363(a,1,1))]. 2118 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),2099(a,1,1)),flip(a)]. 2119 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2118(a,1),1088(a,1,1,2))]. 2120 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(17,a,603,a(flip),b,2117,a(flip)),flip(a)]. 2122 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(198,a,601,a(flip),b,2119,a(flip))]. 2124 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2122(a,1),16(a,1,1))]. 2127 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1852(a,1,1,1))]. 2128 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(150,a,2127,a,b,14,a),flip(a)]. 2131 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(781,a,807,a),flip(a)]. 2132 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),2131(a,1,2,1,2,2)),flip(a)]. 2133 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(759(a,1),2131(a,2,1))]. 2134 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2132(a,1),261(a,1))]. 2135 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(2134,a,1138,a),flip(a)]. 2136 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(2134,a,1006,a)]. 2137 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1006(a,1),2134(a,1))]. 2139 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(150,a,2136,a,b,14,a),flip(a)]. 2141 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(441(a,2),2135(a,2,1,2,1)),flip(a)]. 2142 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1612(a,1),2135(a,1,2)),flip(a)]. 2143 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(261,a,2133,a),flip(a)]. 2144 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(198,a,1138,a(flip),b,2133,a(flip)),flip(a)]. 2145 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(198,a,1136,a(flip),b,2133,a(flip))]. 2146 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(150,a,2133,a(flip),b,1500,a),flip(a)]. 2148 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(14(a,1),2144(a,1,2,2,1)),flip(a)]. 2149 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(94(a,2),2148(a,2,2,2,1))]. 2150 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2146(a,1,1))]. 2151 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2150(a,1,2,1,2,1))]. 2152 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(198,a,817,a(flip),b,936,a(flip))]. 2153 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2152(a,1),782(a,1,2))]. 2154 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(198,a,396,a(flip),b,1306,a)]. 2155 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(881(a,1),2154(a,2,2))]. 2156 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2155(a,1),1248(a,1,1)),flip(a)]. 2157 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1301(a,1),1331(a,1,1))]. 2158 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(989(a,1),2157(a,1,1))]. 2159 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1329(a,1),2158(a,1,2))]. 2160 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(198,a,40,a,b,2159,a(flip)),flip(a)]. 2161 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1326(a,1),2160(a,1,1))]. 2162 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(198,a,989,a,b,2161,a(flip)),flip(a)]. 2163 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2161(a,1),1766(a,1,2))]. 2164 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(198,a,1332,a(flip),b,2162,a(flip))]. 2165 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(649(a,1),1462(a,1,1)),flip(a)]. 2166 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1168(a,1),2071(a,2,2))]. 2167 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(198,a,171,a(flip),b,2166,a)]. 2168 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(2015(a,1),2167(a,1,1)),flip(a)]. 2169 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(106(a,1),2168(a,1,1)),flip(a)]. 2170 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1457(a,1,1,2,2,1,2)),flip(a)]. 2171 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(53(a,1),1459(a,1,1)),flip(a)]. 2172 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(106(a,1),2171(a,1,1))]. 2174 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2172(a,1),20(a,1))]. 2175 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(1082(a,2),1668(a,2,2,1))]. 2176 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1038(a,1),1821(a,1,2,1)),flip(a)]. 2177 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(65,a,52,a(flip),b,2176,a),flip(a)]. 2178 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2177(a,1),19(a,1))]. 2179 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1060(a,1),1839(a,1,2,1)),flip(a)]. 2180 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(65,a,52,a(flip),b,2179,a),flip(a)]. 2181 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1874(a,1),1875(a,1,2)),flip(a)]. 2182 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(198,a,13,a(flip),b,2181,a)]. 2184 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(867(a,1),2182(a,1,1,2)),flip(a)]. 2185 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(1198(a,2),2182(a,1,1,2)),flip(a)]. 2186 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(198,a,867,a(flip),b,2184,a(flip))]. 2187 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(1200,a,2185,a),flip(a)]. 2188 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(271,a,2187,a),flip(a)]. 2189 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(1874(a,1),1876(a,1,1)),flip(a)]. 2190 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(198,a,171,a(flip),b,1877,a)]. 2191 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1874(a,1),2190(a,1,1)),flip(a)]. 2192 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1198(a,2),2191(a,1,1)),flip(a)]. 2193 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1198(a,2),2192(a,1,1,2)),flip(a)]. 2194 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(163(a,1),1935(a,1,2))]. 2195 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(215,a,2194,a),flip(a)]. 2197 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1975(a,2),1988(a,1,2,1,1))]. 2198 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(2015(a,1),2061(a,1,1))]. 2199 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(914(a,1),2198(a,1,2))]. 2200 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(198,a,2078,a(flip),b,2199,a(flip)),flip(a)]. 2201 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(198,a,1853,a(flip),b,2200,a)]. 2202 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(18,a,2068,a,b,2201,a(flip)),flip(a)]. 2203 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(198,a,140,a(flip),b,2202,a),flip(a)]. 2204 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(140(a,1),2203(a,2,2,2)),flip(a)]. 2205 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(198,a,12,a,b,2204,a)]. 2206 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(71,a,2204,a)]. 2207 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2206(a,1),196(a,1,1))]. 2208 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(172(a,1),2207(a,2,1))]. 2209 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),2143(a,2,2,1,2,1))]. 2210 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(77,a,2209,a)]. 2211 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2210(a,1,1,2,1,2,2)),flip(a)]. 2212 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1249(a,1),2211(a,1,2,1)),flip(a)]. 2213 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2155(a,1),2156(a,1,2,1)),flip(a)]. 2214 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(334,a,2169,a),flip(a)]. 2215 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(875(a,1),2197(a,2,2))]. 2216 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(198,a,1341,a(flip),b,2215,a)]. 2217 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(653,a,2216,a),flip(a)]. 2218 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(13(a,1),2216(a,1,2,1)),flip(a)]. 2220 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(108(a,1),2217(a,2,1))]. 2221 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2218(a,2),2057(a,1,2))]. 2222 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(2041,a,2220,a)]. 2223 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2222(a,1),14(a,1,2))]. 2224 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(60(a,1),2222(a,1,2,2,2)),flip(a)]. 2225 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(17,a,1989,a(flip),b,2223,a)]. 2226 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2223(a,1,2,1)),flip(a)]. 2227 R(x,y,K(x,x \ 1)) = x. [hyper(424,a,2226,a)]. 2228 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(2015(a,1),2226(a,1,2)),flip(a)]. 2229 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2227(a,1),42(a,2,1))]. 2230 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(198,a,2039,a(flip),b,2229,a(flip))]. 2232 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1979(a,1),2230(a,1,2,2))]. 2233 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2109(a,2),2230(a,1,2)),flip(a)]. 2234 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2233(a,1),155(a,1,2,1))]. 2235 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(215,a,2221,a)]. 2236 L(x,y,K(x,x \ 1)) = x. [hyper(390,a,2235,a)]. 2237 K(x,x \ 1) * y != (K(x,x \ 1) * z) * x | z * x = y. [para(2235(a,2),19(a,1)),flip(a)]. 2238 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(2015(a,1),2236(a,1,3))]. 2239 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2238(a,1),40(a,2,1))]. 2250 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(349(a,1),2224(a,1,1)),flip(a)]. 2251 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(1927(a,1),2228(a,2,1))]. 2252 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2016(a,1),2250(a,1,2,2))]. 2253 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2214(a,2),2252(a,1,2))]. 2254 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(467,a,2253,a),flip(a)]. 2255 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2015(a,1),2254(a,1,2))]. 2256 R(x,y,K(x \ 1,x)) = x. [hyper(424,a,2255,a)]. 2257 x * K(y \ 1,y) != y * (z * K(y \ 1,y)) | y * z = x. [para(2255(a,1),20(a,1)),flip(a)]. 2258 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(963(a,1),2255(a,1,1)),flip(a)]. 2259 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2256(a,1),42(a,2,1))]. 2260 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2256(a,1),214(a,1,1))]. 2261 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2259(a,1),342(a,1,1)),flip(a)]. 2262 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2261(a,1),2258(a,1,2)),flip(a)]. 2263 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(198,a,2008,a(flip),b,2262,a)]. 2264 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(737(a,1),2212(a,1,1,2)),flip(a)]. 2265 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(92(a,1),2264(a,2,1))]. 2266 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1975(a,2),2265(a,2,1,2))]. 2267 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(198,a,1815,a(flip),b,2266,a(flip)),flip(a)]. 2268 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(14(a,1),2267(a,1,2,2,1)),flip(a)]. 2269 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(198,a,428,a(flip),b,645,a)]. 2270 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1030,a,2269,a)]. 2271 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(106(a,1),2270(a,1,2)),flip(a)]. 2272 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(923,a,341,a),flip(a)]. 2273 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(923,a,2205,a(flip))]. 2274 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(198,a,1180,a(flip),b,2272,a(flip)),flip(a)]. 2275 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(656(a,1),2274(a,1,2)),flip(a)]. 2276 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(65,a,2273,a(flip),b,2275,a(flip)),flip(a)]. 2277 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2275(a,2),2022(a,1,2))]. 2278 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(198,a,107,a,b,2276,a)]. 2279 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(66,a,2276,a(flip),b,2127,a),flip(a)]. 2280 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(14(a,1),2276(a,1,2,1))]. 2281 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(84(a,1),2278(a,1,2,1))]. 2282 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(198,a,1974,a(flip),b,2279,a)]. 2284 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),2282(a,1,2,1)),flip(a)]. 2285 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),2282(a,1,2,1))]. 2286 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(994(a,2),2282(a,1,2,1))]. 2287 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2282(a,2),2017(a,1,1))]. 2288 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(198,a,602,a,b,2285,a(flip)),flip(a)]. 2289 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2280(a,2),57(a,1,2))]. 2290 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(60(a,1),2280(a,1,2))]. 2291 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(1083(a,2),2280(a,1,1))]. 2292 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2280(a,1),1205(a,1,2)),flip(a)]. 2293 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2280(a,2),1435(a,2,1,2,2)),flip(a)]. 2294 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(13(a,1),2289(a,1,2,2))]. 2295 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1981,a,2284,a)]. 2296 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(13(a,1),2284(a,2,2))]. 2297 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2284(a,1),2268(a,1,1,2))]. 2298 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),2281(a,1,2)),flip(a)]. 2299 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(344,a,2298,a),flip(a)]. 2301 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(198,a,1801,a(flip),b,2299,a(flip))]. 2304 1 / (1 / K(x,y)) = K(x,y). [para(2301(a,1),125(a,1,2,2))]. 2306 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1302(a,1),2286(a,1,2))]. 2307 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(198,a,2284,a(flip),b,2306,a)]. 2308 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2273(a,1),2277(a,1,2))]. 2309 T(1 / (1 / x),(y * x) \ y) = x. [hyper(187,a,2308,a)]. 2311 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(14(a,1),2309(a,1,2,1))]. 2312 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(1083(a,2),2311(a,1,1,2,2))]. 2313 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(198,a,1434,a(flip),b,2293,a(flip))]. 2314 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(13(a,1),2313(a,1,1,1)),flip(a)]. 2315 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2304(a,1),2312(a,1,1))]. 2316 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(198,a,2291,a(flip),b,2315,a(flip)),flip(a)]. 2317 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2316(a,1),57(a,1,2))]. 2318 (x \ 1) \ (T(x,y) \ 1) = 1 / (x \ T(x,y)). [hyper(198,a,1892,a,b,2317,a),flip(a)]. 2319 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(13(a,1),2314(a,1,1,1)),flip(a)]. 2320 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(13(a,1),2319(a,2,2))]. 2322 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(198,a,1665,a(flip),b,932,a(flip)),flip(a)]. 2324 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2322(a,1),759(a,1,1)),flip(a)]. 2325 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(198,a,557,a(flip),b,2324,a)]. 2326 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(198,a,1622,a(flip),b,2325,a(flip))]. 2327 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1030,a,1212,a),flip(a)]. 2328 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(649(a,1),2327(a,2,2))]. 2329 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(390,a,2328,a)]. 2330 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(198,a,1080,a(flip),b,2329,a),flip(a)]. 2331 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(867(a,1),2329(a,1,1))]. 2332 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(15(a,1),2331(a,2,1,2))]. 2333 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(353(a,1),2331(a,2,1,2))]. 2334 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2330(a,1),381(a,1))]. 2335 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2128(a,1),2333(a,1,1))]. 2336 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1263(a,1),1227(a,2,1))]. 2337 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1272(a,1),2336(a,2,1,1))]. 2338 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(198,a,30,a,b,2337,a),flip(a)]. 2339 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2337(a,2),434(a,1))]. 2340 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(198,a,1080,a(flip),b,2338,a),flip(a)]. 2341 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(54(a,1),2338(a,2,1,2))]. 2342 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1064(a,1),2338(a,2,1,2))]. 2344 R(x * T(x \ 1,R(x,y,z)),y,z) != u * R(x,y,z) | R(x,y,z) \ 1 = u. [para(2340(a,1),152(a,1)),flip(b)]. 2345 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(167(a,2),933(a,1,2,1,1))]. 2346 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(788(a,1),1160(a,1,2)),flip(a)]. 2347 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(198,a,1198,a,b,1202,a)]. 2348 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2347(a,1),327(a,1,1))]. 2349 T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2320(a,1),2348(a,1))]. 2350 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2330(a,1),1432(a,1,1))]. 2351 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(246(a,1),2350(a,1,1,1))]. 2352 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1181(a,1),2351(a,1,2))]. 2353 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(198,a,40,a,b,2352,a(flip)),flip(a)]. 2354 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1186(a,1),2353(a,2,1))]. 2355 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(32(a,2),1499(a,1,1))]. 2356 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2233(a,1),2355(a,2,2))]. 2357 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(167(a,2),1533(a,1,2,1,1))]. 2358 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1515(a,1),1588(a,1,1))]. 2359 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(85(a,1),1937(a,1,1))]. 2360 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(85(a,1),2359(a,1,2,1,1))]. 2361 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(198,a,2195,a(flip),b,2251,a)]. 2362 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(2015(a,1),2361(a,1,2,2))]. 2363 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2263(a,1),2362(a,1,2))]. 2364 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(198,a,1643,a(flip),b,2345,a)]. 2365 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(198,a,1672,a(flip),b,2357,a)]. 2366 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(913(a,1),2364(a,2,1))]. 2367 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(937(a,1),2365(a,2,1))]. 2368 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(198,a,430,a(flip),b,743,a)]. 2369 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1156,a,2368,a)]. 2370 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1365(a,1),2369(a,2,1,1))]. 2371 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(42(a,2),1265(a,2,2,2))]. 2372 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(565(a,1),2371(a,2,2))]. 2373 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(268(a,1),2372(a,2,2))]. 2374 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T((1 / x) \ 1,y)). [para(60(a,1),1037(a,1,2,1)),flip(a)]. 2375 x * T(x \ T((1 / x) \ 1,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(60(a,1),2374(a,2,2,2,1))]. 2376 x * T(x \ T(x,y),(1 / x) \ 1) = (1 / x) \ (x \ T(x,y)). [para(60(a,1),2375(a,1,2,1,2,1))]. 2377 (1 / x) \ (x \ T(x,y)) = x * T(x \ T(x,y),x). [para(60(a,1),2376(a,1,2,2)),flip(a)]. 2378 (1 / x) \ (x \ T(x,y)) = (x \ T(x,y)) * x. [hyper(198,a,106,a(flip),b,2377,a)]. 2379 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ (x \ (x * K(x,y))). [para(1631(a,1),2378(a,1,2,2)),flip(a)]. 2380 (x \ T(x,R(y,x,(y * x) \ x))) * x = (1 / x) \ K(x,y). [para(13(a,1),2379(a,2,2))]. 2382 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(1631(a,1),2380(a,1,1,2))]. 2383 (1 / x) \ K(x,y) = K(x,y) * x. [para(13(a,1),2382(a,1,1)),flip(a)]. 2385 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),1728(a,1,2,1)),flip(a)]. 2386 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(14(a,1),1879(a,1,2,1)),flip(a)]. 2388 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(198,a,1668,a(flip),b,2175,a(flip))]. 2389 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1896(a,1),2388(a,1,2))]. 2390 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(198,a,1905,a(flip),b,2389,a(flip))]. 2391 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1656(a,1),2332(a,1,1,2)),flip(a)]. 2392 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(49(a,1),2391(a,2,1))]. 2393 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(198,a,288,a(flip),b,2392,a)]. 2396 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2393(a,1),222(a,1,2)),flip(a)]. 2397 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(198,a,12,a(flip),b,2396,a)]. 2398 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1696(a,1),1628(a,1,2,1))]. 2399 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(15(a,1),2398(a,1,2)),flip(a)]. 2400 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2399(a,1),14(a,1,2)),flip(a)]. 2402 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2399(a,1),212(a,1,2)),flip(b)]. 2403 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2400(a,2),191(a,1,2)),flip(b)]. 2404 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(1895(a,1),1097(a,1,1,2))]. 2405 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(879(a,1),2404(a,1,1,2)),flip(a)]. 2406 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(885(a,1),2405(a,2,1))]. 2407 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(374(a,1),2406(a,1,1))]. 2408 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(990(a,1),1812(a,2,2,1))]. 2409 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1633(a,1),2408(a,1,1)),flip(a)]. 2410 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(198,a,1814,a(flip),b,2409,a(flip)),flip(a)]. 2411 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(198,a,1972,a(flip),b,2410,a(flip)),flip(a)]. 2412 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(198,a,1936,a,b,2411,a),flip(a)]. 2413 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(17,a,1975,a(flip),b,2412,a)]. 2414 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). [hyper(198,a,2390,a(flip),b,2412,a(flip)),flip(a)]. 2415 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2413(a,1),14(a,1,2))]. 2416 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(176(a,1),2413(a,1,2))]. 2417 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(198,a,2407,a(flip),b,2414,a(flip))]. 2418 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1445(a,1),2416(a,1,1))]. 2419 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(198,a,1888,a(flip),b,2418,a(flip))]. 2420 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(107(a,1),2419(a,1,2,1))]. 2421 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(245(a,1),2419(a,1,2,1)),flip(a)]. 2422 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(2420(a,1),60(a,1,1))]. 2423 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(60(a,1),2420(a,1,2,1,1))]. 2424 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2421(a,1),57(a,1,2))]. 2425 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(60(a,1),2422(a,2,1,1))]. 2426 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2422(a,2),106(a,1,2))]. 2427 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(108(a,1),2422(a,1,1,1)),flip(a)]. 2429 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(2014,a,2424,a)]. 2430 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(108(a,1),2424(a,1,2,2)),flip(a)]. 2431 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2424(a,1),1605(a,1,1,1,2))]. 2432 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(652,a,2426,a)]. 2433 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(108(a,1),2426(a,1,2,1,1)),flip(a)]. 2434 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(445(a,1),2426(a,1,2,1,1)),flip(a)]. 2435 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(198,a,107,a,b,2432,a)]. 2436 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2432(a,1),972(a,1,2))]. 2437 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(692,a,2427,a)]. 2438 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2427(a,1),145(a,1,1,2))]. 2439 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2430(a,1),145(a,1,1,2))]. 2440 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [para(2436(a,1),591(a,1,1))]. 2442 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),2437(a,2,1,1))]. 2443 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(198,a,2120,a(flip),b,2442,a(flip)),flip(a)]. 2446 T(x,y / (y * x)) = T(x,x \ 1). [hyper(198,a,107,a,b,2443,a)]. 2447 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(14(a,1),2443(a,1,2,2))]. 2448 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2446(a,1),106(a,1,2))]. 2449 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(15(a,1),2447(a,1,2))]. 2450 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(57(a,1),2447(a,1,2))]. 2451 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(13(a,1),2438(a,1,1,2,1,1))]. 2452 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2438(a,1),208(a,1,1)),flip(b)]. 2453 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2280(a,2),2438(a,1,1,2))]. 2454 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2439(a,1,1,2,2,2))]. 2455 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(368,a,2453,a)]. 2456 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2455(a,1,2))]. 2457 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(145(a,1),2431(a,1,1))]. 2459 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(738(a,1),1871(a,2,1))]. 2460 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(198,a,2346,a(flip),b,2459,a)]. 2461 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1503(a,1),1872(a,2,2,1))]. 2462 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(15(a,1),2461(a,2,2))]. 2463 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(198,a,2460,a(flip),b,2462,a(flip)),flip(a)]. 2465 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2463(a,1),14(a,1,2))]. 2466 (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(198,a,397,a(flip),b,1680,a)]. 2467 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(162(a,1),2466(a,2,2))]. 2468 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2232(a,1),2062(a,1,2,2,2)),flip(a)]. 2469 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(15(a,1),1458(a,1,1))]. 2470 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(15(a,1),2469(a,1,2,1,1)),flip(a)]. 2471 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(13(a,1),2470(a,2,2,1))]. 2472 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(16(a,1),2471(a,1,1,1))]. 2473 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1830(a,1),2234(a,1,2))]. 2474 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(689,a,2473,a),flip(a)]. 2475 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(198,a,2356,a(flip),b,2474,a(flip)),flip(a)]. 2476 (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(92(a,1),1158(a,1,2,1,1))]. 2477 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1156,a,2476,a),flip(a)]. 2478 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(783(a,1),2477(a,2,2))]. 2479 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(390,a,2478,a),flip(a)]. 2480 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(198,a,1042,a(flip),b,2479,a(flip))]. 2481 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1667(a,1),2480(a,1,1,2)),flip(a)]. 2482 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(2334,a,2481,a(flip)),flip(a)]. 2483 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(18,a,167,a(flip),b,2482,a)]. 2484 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(60(a,1),2483(a,1,1))]. 2485 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(914(a,1),2484(a,1,2))]. 2486 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2485(a,1),16(a,1,1))]. 2487 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(18,a,2397,a,b,2486,a),flip(a)]. 2489 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1573(a,1),2487(a,1,1)),flip(a)]. 2490 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(198,a,2135,a(flip),b,2141,a)]. 2491 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1374(a,1),2342(a,1,1,2,1))]. 2492 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1708(a,1),2491(a,1,1,2)),flip(a)]. 2494 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(102(a,1),1561(a,1,1,1,2,2)),flip(a)]. 2495 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(198,a,759,a(flip),b,2494,a)]. 2496 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(198,a,2133,a(flip),b,2495,a)]. 2497 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(759(a,1),2496(a,1,1))]. 2498 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1612(a,1),2497(a,2,1))]. 2499 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,102,a,b,2498,a)]. 2500 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1618,a,2499,a),flip(a)]. 2501 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(14(a,1),2499(a,1,2,1)),flip(a)]. 2502 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(198,a,1975,a,b,2501,a)]. 2503 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1062(a,1),2502(a,1,1,2,1))]. 2504 (((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),1591(a,2,2,1,1))]. 2505 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1611(a,1),2504(a,1,1))]. 2506 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1676(a,1),2505(a,1,1,1))]. 2507 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(434,a,2506,a),flip(a)]. 2509 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(198,a,1066,a(flip),b,2507,a(flip))]. 2510 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(579(a,1),2507(a,2,1,2))]. 2511 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1059,a,2510,a),flip(a)]. 2512 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(11(a,1),2511(a,1,1,2,1)),flip(a)]. 2513 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1710(a,1),2509(a,1,1,2)),flip(a)]. 2514 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(2344,a,2513,a(flip)),flip(a)]. 2515 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(92(a,1),1597(a,1,2,1,2,1))]. 2516 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(198,a,1137,a(flip),b,2515,a(flip))]. 2517 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1136(a,1),2516(a,2,2))]. 2518 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(390,a,2517,a),flip(a)]. 2519 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(14(a,1),2518(a,1,2,1)),flip(a)]. 2520 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(198,a,1975,a,b,2519,a)]. 2521 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1622(a,1),2520(a,1,1))]. 2522 (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),1614(a,2,2,1,1))]. 2523 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(905(a,1),2522(a,1,2))]. 2524 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(787(a,1),2523(a,1,2,2))]. 2525 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(400,a,2524,a),flip(a)]. 2527 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(666(a,1),2525(a,2,1,2))]. 2528 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(931(a,1),2525(a,1,2))]. 2529 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1188(a,1),2527(a,1,2))]. 2530 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(130(a,1),2529(a,2,1,2))]. 2531 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1975(a,2),2530(a,2,1))]. 2532 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),2528(a,1,2,2)),flip(a)]. 2533 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2326(a,1),2532(a,1,1)),flip(a)]. 2534 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(198,a,2521,a(flip),b,2533,a)]. 2535 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,1975,a(flip),b,2534,a)]. 2536 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(198,a,2489,a,b,2535,a(flip)),flip(a)]. 2537 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2536(a,1),57(a,1,2)),flip(a)]. 2538 1 / L((x \ 1) \ 1,y,z) = L(x,y,z) \ 1. [para(125(a,1),2536(a,1,1,1)),flip(a)]. 2539 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(57(a,1),2537(a,1,1,2)),flip(a)]. 2540 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(196(a,1),2537(a,2,2,2))]. 2541 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(2537(a,1),164(a,1,1))]. 2542 ((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(2537(a,2),1079(a,1,2,1))]. 2543 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(2538(a,1),60(a,1,1)),flip(a)]. 2544 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(140(a,1),2539(a,1,2,2)),flip(a)]. 2545 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(306(a,1),2539(a,1,2,2)),flip(a)]. 2546 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(2539(a,1),2537(a,1,1)),flip(a)]. 2547 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(57(a,1),2544(a,1,1))]. 2548 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(198,a,2465,a,b,2545,a(flip)),flip(a)]. 2549 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(198,a,1669,a,b,2545,a(flip)),flip(a)]. 2550 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2549(a,1),2064(a,1,2)),flip(a)]. 2551 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(17,a,2007,a,b,2548,a),flip(a)]. 2552 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(198,a,601,a(flip),b,2551,a)]. 2553 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2551(a,1),2292(a,1,2))]. 2554 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(60(a,1),2541(a,2,1))]. 2555 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(2554(a,1),38(a,1,1)),flip(a)]. 2556 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2550(a,1),2268(a,1,1))]. 2557 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2284(a,1),2550(a,1,2))]. 2558 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2288(a,1),2557(a,1,2))]. 2559 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2552(a,1),1216(a,1,2))]. 2560 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1619(a,2),2556(a,1,1,2,2,2)),flip(a)]. 2561 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(123(a,1),2558(a,1,1)),flip(a)]. 2562 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2282(a,1),2559(a,1,2))]. 2563 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2276(a,1),2562(a,2,2))]. 2564 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2278(a,1),2562(a,2,2))]. 2566 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(261,a,2563,a),flip(a)]. 2567 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(2237,a,2563,a(flip))]. 2568 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(198,a,2028,a,b,2563,a(flip)),flip(a)]. 2570 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(106(a,1),2563(a,1,1))]. 2573 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(198,a,2432,a,b,2567,a),flip(a)]. 2574 x * K(x,x \ 1) = T(x,x \ 1). [hyper(198,a,107,a,b,2567,a)]. 2575 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(65,a,2114,a,b,2567,a)]. 2576 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. [para(2574(a,1),390(a,1,1))]. 2577 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(2574(a,1),434(a,1,1,1))]. 2578 x * (x * (1 / x)) = T(x,x \ 1). [para(1975(a,1),2574(a,1,2))]. 2579 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(2578(a,1),462(a,1,1))]. 2580 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2027,a,2573,a)]. 2581 T(x,K(y,y \ 1)) = x. [hyper(35,a,2580,a)]. 2582 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(65,a,2580,a(flip),b,1991,a)]. 2583 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2580(a,1),106(a,1,2)),flip(a)]. 2586 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2282(a,2),2580(a,1,1))]. 2589 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2581(a,1),215(a,1,2))]. 2591 T(x,K(y,1 / y)) = x. [para(1972(a,2),2581(a,1,2))]. 2592 T(x,K(y \ 1,y)) = x. [para(1979(a,1),2581(a,1,2))]. 2593 T(x,K(y \ z,z \ y)) = x. [para(2284(a,1),2581(a,1,2))]. 2595 K(x,1 / x) * y = y * K(x,1 / x). [hyper(1781,a,2591,a),flip(a)]. 2597 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(1781,a,2592,a),flip(a)]. 2599 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(35,a,2592,a)]. 2601 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2592(a,1),152(a,1,2))]. 2602 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2592(a,1),215(a,1,2))]. 2603 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(1781,a,2593,a),flip(a)]. 2604 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2593(a,1),256(a,1,2)),flip(b)]. 2605 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(198,a,1428,a,b,2599,a(flip)),flip(a)]. 2606 T((x \ 1) * x,y) = K(x \ 1,x). [para(167(a,1),2599(a,1,1))]. 2607 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2599(a,1),215(a,1,2))]. 2608 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2599(a,1),2354(a,1,1))]. 2609 K(x,y / (x * y)) = K(x,x \ 1). [hyper(198,a,2475,a(flip),b,2575,a(flip)),flip(a)]. 2611 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(16(a,1),2609(a,1,2,2)),flip(a)]. 2612 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(198,a,2563,a(flip),b,2583,a)]. 2613 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2583(a,2),30(a,2,2)),flip(a)]. 2615 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2583(a,2),419(a,1,2))]. 2616 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2583(a,2),563(a,1,1))]. 2617 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2583(a,1),680(a,1,2))]. 2618 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2586(a,1),2335(a,1,1))]. 2619 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(198,a,1032,a(flip),b,2597,a)]. 2620 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(21,a,2597,a)]. 2621 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(946,a,2597,a(flip))]. 2622 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2597(a,1),92(a,1,1))]. 2623 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2597(a,2),419(a,1,2))]. 2624 (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(2597(a,2),563(a,1,1))]. 2625 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2597(a,1),680(a,1,2))]. 2626 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2597(a,2),249(a,1,1))]. 2628 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2605(a,1),1084(a,1,1))]. 2629 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2605(a,2),2007(a,1,2))]. 2630 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(261,a,2564,a),flip(a)]. 2631 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(198,a,2583,a,b,2564,a(flip)),flip(a)]. 2632 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [hyper(65,a,2564,a(flip),b,2028,a)]. 2635 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2422(a,1),2566(a,1,2))]. 2636 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(66,a,272,a(flip),b,2568,a),flip(a)]. 2637 (x / ((y \ 1) \ 1)) * K(y,y \ 1) = x / y. [hyper(66,a,16,a(flip),b,2568,a),flip(a)]. 2638 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2568(a,1),20(a,1))]. 2640 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(2583(a,2),2568(a,1,1))]. 2641 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2608(a,1),92(a,1,2))]. 2643 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(15(a,1),2611(a,2,2))]. 2644 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(65,a,2629,a(flip),b,1086,a)]. 2645 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(198,a,2235,a,b,2631,a(flip)),flip(a)]. 2646 L(x,K(x,x \ 1),y) = x. [hyper(1996,a,2632,a)]. 2647 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(2015(a,1),2646(a,1,2))]. 2648 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2647(a,1),2468(a,1,1)),flip(a)]. 2649 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [para(2436(a,1),2637(a,1,1))]. 2650 x * ((y \ 1) \ 1) != z * y | K(y,y \ 1) * x = z. [para(2640(a,1),20(a,1))]. 2652 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2644(a,1),2363(a,1,2))]. 2655 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1553(a,1),2619(a,2,2))]. 2659 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. [para(2620(a,2),620(a,1,2))]. 2660 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(17,a,2084,a,b,2649,a),flip(a)]. 2661 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(198,a,2580,a,b,2660,a),flip(a)]. 2663 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2661(a,1),137(a,1)),flip(b)]. 2664 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2417(a,1),2661(a,1,1))]. 2665 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(1934,a,2652,a),flip(a)]. 2666 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(65,a,1933,a(flip),b,2652,a(flip))]. 2667 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(17,a,240,a,b,2665,a)]. 2668 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(198,a,2318,a(flip),b,2666,a(flip)),flip(a)]. 2669 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(198,a,1892,a(flip),b,2666,a(flip)),flip(a)]. 2670 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2668(a,1),127(a,1,2,1))]. 2671 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(42(a,2),2669(a,1,1,2))]. 2672 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(108(a,1),2669(a,1,1,2)),flip(a)]. 2673 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(655(a,1),2669(a,1,1))]. 2674 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1631(a,1),2669(a,1,1,2)),flip(a)]. 2675 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(108(a,1),2672(a,1,1)),flip(a)]. 2676 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2675(a,1,1,2)),flip(a)]. 2677 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(198,a,2667,a(flip),b,2673,a)]. 2678 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1204(a,1),2677(a,1,1)),flip(a)]. 2679 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(198,a,2410,a,b,2664,a(flip))]. 2680 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),2676(a,1,1)),flip(a)]. 2681 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2680(a,1),57(a,1,2))]. 2682 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(2663,a,2679,a)]. 2684 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(176(a,1),2682(a,2,2))]. 2685 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(198,a,2417,a(flip),b,2684,a(flip)),flip(a)]. 2686 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(2540(a,1),92(a,1,2))]. 2687 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2297(a,1),2604(a,1))]. 2688 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(198,a,2552,a(flip),b,2618,a)]. 2689 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2618(a,2),358(a,1,1)),flip(a)]. 2690 T(x,L(K(y,y \ 1),y,z)) = x. [para(2618(a,2),2592(a,1,2))]. 2692 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(198,a,2282,a(flip),b,2688,a)]. 2694 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(2015(a,1),2692(a,1,1))]. 2695 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(198,a,2015,a(flip),b,2694,a)]. 2696 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2695(a,1),684(a,1,2))]. 2697 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2696(a,1),16(a,1,1))]. 2698 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2696(a,1),1495(a,1,1))]. 2700 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(674,a,2698,a)]. 2701 R(x / (1 / y),y \ 1,y) = x * y. [hyper(261,a,2698,a),flip(a)]. 2703 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(1946(a,1),2698(a,1,1))]. 2704 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(198,a,538,a(flip),b,2700,a(flip))]. 2705 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(57(a,1),2700(a,1,2)),flip(a)]. 2706 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2701(a,1),1715(a,1,1,2))]. 2707 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2607,a,2697,a)]. 2708 R(x,1 / y,K(y \ 1,y)) = x. [hyper(729,a,2697,a)]. 2709 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(261,a,2697,a),flip(a)]. 2711 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1977(a,1),2708(a,1,3))]. 2712 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(198,a,2000,a(flip),b,2711,a(flip)),flip(a)]. 2713 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2711(a,1),1999(a,1,1)),flip(a)]. 2714 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(198,a,1412,a,b,2709,a(flip)),flip(a)]. 2715 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(198,a,1413,a(flip),b,2709,a(flip))]. 2717 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(198,a,2031,a(flip),b,2712,a(flip)),flip(a)]. 2719 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2714(a,1),16(a,1,1))]. 2720 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2714(a,1),2701(a,1,1))]. 2721 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2607,a,2715,a)]. 2723 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(198,a,2558,a(flip),b,2717,a(flip)),flip(a)]. 2724 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(65,a,2717,a(flip),b,2558,a(flip)),flip(a)]. 2725 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2455(a,1),2704(a,1,1)),flip(a)]. 2726 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(57(a,1),2723(a,1,2,2,2,2)),flip(a)]. 2727 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2723(a,1),2439(a,1,1))]. 2728 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2724(a,1),60(a,1,1))]. 2729 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2726(a,2,2,2,2))]. 2730 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(57(a,1),2727(a,1,1,2,2)),flip(a)]. 2731 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(57(a,1),2728(a,1,1,2,2,2)),flip(a)]. 2732 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(125(a,1),2728(a,1,1,2,2)),flip(a)]. 2733 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2547(a,2),2729(a,1,2))]. 2734 x / L(y,y \ 1,x) = x * (1 / y). [para(57(a,1),2733(a,2,2,2))]. 2735 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2734(a,1),60(a,1,1)),flip(a)]. 2736 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2734(a,2),601(a,1,1,2))]. 2738 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(198,a,2329,a,b,2736,a(flip)),flip(a)]. 2739 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(198,a,95,a,b,2738,a(flip)),flip(a)]. 2740 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(60(a,1),2738(a,1,2))]. 2741 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2730(a,1),60(a,1,1)),flip(a)]. 2742 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2732(a,1),60(a,1,1))]. 2743 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2732(a,1),127(a,1,2,1))]. 2744 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(198,a,2290,a,b,2742,a(flip)),flip(a)]. 2745 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2744(a,2),14(a,1,2))]. 2746 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(60(a,1),2744(a,2,2,2,1))]. 2747 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2744(a,1),106(a,1,2))]. 2748 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(198,a,2619,a,b,2745,a(flip)),flip(a)]. 2749 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(198,a,1032,a,b,2745,a(flip)),flip(a)]. 2750 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(15(a,1),2749(a,1,1)),flip(a)]. 2752 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2750(a,1),16(a,1,1))]. 2753 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2650,a,2752,a)]. 2754 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(2638,a,2752,a)]. 2755 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(18,a,2640,a(flip),b,2752,a)]. 2756 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(18,a,2568,a(flip),b,2752,a)]. 2757 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2597(a,2),2752(a,1,1))]. 2758 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [hyper(17,a,2612,a,b,2753,a)]. 2759 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(198,a,2620,a,b,2753,a(flip)),flip(a)]. 2760 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(65,a,2753,a(flip),b,2620,a)]. 2761 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(17,a,2620,a,b,2753,a(flip)),flip(a)]. 2762 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2697(a,1),2753(a,1,2))]. 2763 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2715(a,1),2753(a,1,2))]. 2765 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [para(2597(a,2),2754(a,1,1))]. 2766 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2697(a,1),2754(a,1,1))]. 2767 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2715(a,1),2754(a,1,1))]. 2768 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(65,a,2755,a(flip),b,2597,a)]. 2769 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2755(a,1),20(a,1)),flip(a)]. 2770 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2755(a,1),2601(a,2))]. 2771 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2755(a,1),2719(a,1,1)),flip(a)]. 2772 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2607,a,2756,a)]. 2773 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2756(a,1),20(a,1)),flip(a)]. 2774 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2756(a,1),103(a,2,1))]. 2775 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2756(a,1),2601(a,2))]. 2776 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(17,a,2631,a,b,2759,a)]. 2777 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(18,a,2713,a,b,2765,a)]. 2778 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(18,a,2109,a(flip),b,2765,a)]. 2780 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(402(a,1),2765(a,1,1))]. 2781 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2768(a,1),2366(a,1,2,1))]. 2782 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2768(a,1),2367(a,1,2,1))]. 2783 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(727,a,2758,a(flip)),flip(a)]. 2784 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2424(a,1),2763(a,1,2,2))]. 2785 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(261,a,2766,a),flip(a)]. 2786 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2766(a,1),426(a,1,1))]. 2787 x * (y \ 1) != z * (1 / y) | K(y,y \ 1) * z = x. [para(2771(a,1),20(a,1)),flip(a)]. 2788 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2631(a,1),2771(a,1,1))]. 2789 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(66,a,2717,a(flip),b,2785,a)]. 2790 K(x / (y * x),y) = K(y \ 1,y). [hyper(18,a,2124,a,b,2778,a),flip(a)]. 2791 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(198,a,2643,a,b,2790,a(flip)),flip(a)]. 2792 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2790(a,1,1,2)),flip(a)]. 2794 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [hyper(198,a,2611,a,b,2792,a)]. 2795 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2792(a,2,1))]. 2796 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(436,a,2783,a)]. 2798 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(198,a,2700,a,b,2796,a)]. 2799 x \ R(x,y \ 1,y) != z | a(x,y \ 1,(y \ 1) \ 1) = z. [para(2796(a,1),696(a,1,2))]. 2800 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1378(a,2),2798(a,1,3))]. 2801 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(57(a,1),2743(a,1,2,1,1,2)),flip(a)]. 2802 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2448(a,1),2788(a,1,1)),flip(a)]. 2804 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2791(a,1),1983(a,1,1))]. 2805 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1070(a,1),2720(a,2,1))]. 2806 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(198,a,2609,a(flip),b,2795,a)]. 2808 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2806(a,1),2115(a,1,1))]. 2809 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2589,a,2808,a)]. 2810 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(520,a,2808,a)]. 2811 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(198,a,230,a(flip),b,2808,a)]. 2812 L(x,y,K(y,y \ 1)) = x. [hyper(1995,a,2808,a(flip))]. 2813 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(198,a,2055,a(flip),b,2808,a(flip)),flip(a)]. 2814 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(66,a,2808,a(flip),b,2055,a(flip))]. 2815 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(168(a,1),2808(a,1,2))]. 2817 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(198,a,230,a(flip),b,2809,a)]. 2818 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(198,a,2226,a(flip),b,2809,a(flip)),flip(a)]. 2820 ((x \ 1) \ 1) \ (K(x,x \ 1) * y) = x \ y. [para(107(a,1),2810(a,1,1))]. 2821 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2753(a,1),2810(a,1,2)),flip(a)]. 2822 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(17,a,2759,a,b,2811,a),flip(a)]. 2823 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(198,a,2768,a,b,2811,a(flip)),flip(a)]. 2824 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(2759(a,1),2813(a,1,2)),flip(a)]. 2825 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(198,a,2226,a(flip),b,2817,a(flip)),flip(a)]. 2827 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [para(2759(a,1),2820(a,1,2)),flip(a)]. 2828 x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. [hyper(267,a,2822,a),flip(a)]. 2829 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(17,a,1168,a,b,2822,a)]. 2831 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(2822(a,1),2601(a,1)),flip(a),flip(b)]. 2832 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2824(a,1),586(a,1,1))]. 2833 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(60(a,1),2825(a,2,1,1))]. 2834 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2637(a,1),2825(a,1,2)),flip(a)]. 2835 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2754(a,1),2825(a,1,2)),flip(a)]. 2836 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(2018(a,1),2827(a,1,2,1))]. 2837 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(198,a,2597,a(flip),b,2828,a)]. 2838 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(17,a,1167,a,b,2828,a),flip(a)]. 2839 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(65,a,2829,a(flip),b,2620,a(flip))]. 2841 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(65,a,14,a(flip),b,2835,a),flip(a)]. 2842 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(2837(a,1),19(a,1))]. 2843 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(350(a,1),2837(a,1,2)),flip(a)]. 2844 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(2770,a,2838,a)]. 2845 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(198,a,1099,a(flip),b,2838,a(flip)),flip(a)]. 2846 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2838(a,1),2602(a,1))]. 2847 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2838(a,1),2757(a,1,1))]. 2848 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1979(a,2),2841(a,1,2))]. 2849 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(65,a,60,a(flip),b,2844,a)]. 2850 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2450(a,1),2845(a,1,2))]. 2851 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(198,a,2841,a,b,2850,a),flip(a)]. 2852 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(66,a,2850,a(flip),b,2433,a)]. 2853 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(60(a,1),2850(a,1,2,1,1,2)),flip(a)]. 2854 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(128(a,1),2850(a,1,2,1,1,2))]. 2855 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(60(a,1),2852(a,1,1,1,1)),flip(a)]. 2857 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(2853(a,1),57(a,1,2))]. 2859 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2857(a,1,2,2,1,1))]. 2860 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(198,a,2456,a,b,2859,a),flip(a)]. 2861 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(107(a,2),2860(a,2,2,2)),flip(a)]. 2862 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(2861(a,1),60(a,1,1))]. 2863 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(198,a,2778,a(flip),b,2804,a(flip)),flip(a)]. 2864 ((((x * y) / (R(z,x,y) * (x * y))) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2863(a,1),438(a,1,1))]. 2865 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(198,a,2228,a(flip),b,2833,a(flip)),flip(a)]. 2866 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(2015(a,1),2833(a,1,2,2))]. 2867 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2773,a,2865,a)]. 2868 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2769,a,2865,a)]. 2869 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [hyper(2607,a,2865,a)]. 2870 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(484,a,2865,a),flip(a)]. 2872 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2865(a,1),2752(a,1,1))]. 2873 ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2865(a,1),2835(a,1,2))]. 2874 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(198,a,2592,a,b,2866,a),flip(a)]. 2875 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(65,a,14,a(flip),b,2866,a),flip(a)]. 2876 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(198,a,2620,a,b,2866,a(flip)),flip(a)]. 2877 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [hyper(65,a,2866,a(flip),b,2620,a)]. 2879 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2755(a,1),2866(a,1,2)),flip(a)]. 2880 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(198,a,2780,a(flip),b,2867,a(flip))]. 2881 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(65,a,2780,a(flip),b,2867,a(flip))]. 2882 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [hyper(65,a,2867,a(flip),b,2583,a)]. 2884 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2867(a,1),2230(a,1,2))]. 2885 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2867(a,1),2818(a,1,2)),flip(a)]. 2886 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(403,a,2880,a)]. 2887 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(267,a,2880,a),flip(a)]. 2888 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(106(a,1),2880(a,1,2)),flip(a)]. 2889 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(168(a,1),2880(a,1,2)),flip(a)]. 2890 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2880(a,1),227(a,1,1))]. 2891 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(57(a,1),2886(a,1,3)),flip(a)]. 2892 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(60(a,1),2881(a,1,2,3))]. 2893 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(198,a,120,a(flip),b,2887,a)]. 2894 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2887(a,1),555(a,1,2))]. 2895 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(57(a,1),2884(a,1,2,1)),flip(a)]. 2896 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(2060,a,2868,a)]. 2897 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(267,a,2868,a),flip(a)]. 2898 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2868(a,1),191(a,1,2)),flip(b)]. 2899 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2868(a,1),123(a,1,1,2))]. 2900 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2868(a,1),400(a,1,2,2))]. 2901 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(912,a,2896,a)]. 2902 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(57(a,1),2901(a,1,2)),flip(a)]. 2903 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(590(a,2),2901(a,1,2)),flip(a)]. 2904 L(x,T(y,y \ z) \ 1,T(y,y \ z)) != u | L(x,1 / T(y,y \ z),(y \ z) \ z) = u. [para(2901(a,1),1880(a,1))]. 2905 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(267,a,2869,a),flip(a)]. 2906 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2869(a,1),30(a,2,2)),flip(a)]. 2907 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2869(a,1),452(a,1,1))]. 2908 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2869(a,1),394(a,1,1))]. 2909 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2773,a,2875,a)]. 2910 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2769,a,2875,a)]. 2911 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(2607,a,2875,a)]. 2912 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(65,a,2875,a(flip),b,2837,a),flip(a)]. 2914 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(2879(a,1),168(a,1,2)),flip(a)]. 2915 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(510,a,2902,a),flip(a)]. 2916 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1140(a,1),2905(a,1,2)),flip(a)]. 2917 (1 / x) \ y != z | ((x \ 1) \ y) * K(x \ 1,x) = z. [para(2911(a,1),2602(a,1))]. 2918 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2839(a,1),2915(a,1,1))]. 2919 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(66,a,2187,a(flip),b,2872,a(flip)),flip(a)]. 2920 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2422(a,1),2912(a,1,1))]. 2921 K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. [para(2760(a,1),2898(a,1))]. 2922 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2870(a,2),2918(a,1,1))]. 2923 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2791(a,1),2849(a,1,1))]. 2924 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(17,a,2292,a,b,2851,a),flip(a)]. 2925 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2889(a,2),1914(a,1,1))]. 2926 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2863(a,2),2923(a,2,1)),flip(a)]. 2927 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(198,a,2823,a(flip),b,2926,a)]. 2928 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(198,a,230,a,b,2927,a)]. 2929 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [para(2927(a,1),57(a,1,2)),flip(a)]. 2930 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(60(a,1),2927(a,1,1,1))]. 2931 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(2928(a,1),57(a,1,2))]. 2933 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(198,a,139,a,b,2929,a),flip(a)]. 2934 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(2929(a,2),108(a,1,1))]. 2935 R(x,1 / x,y) \ y = (x \ 1) * y. [para(60(a,1),2930(a,2,1,1))]. 2936 R(x,1 / x,y) = y / ((x \ 1) * y). [para(2935(a,1),57(a,1,2)),flip(a)]. 2937 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(198,a,139,a,b,2936,a)]. 2938 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(2937(a,1),2013(a,1,1))]. 2939 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(722,a,2626,a)]. 2940 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2641(a,1),19(a,1)),flip(a)]. 2941 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),2674(a,2,1))]. 2943 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(879(a,1),2740(a,1,1))]. 2944 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(198,a,755,a(flip),b,2943,a(flip))]. 2945 T(K(1 / (1 / x),y),x) = K(x,y). [para(2944(a,2),144(a,1,1))]. 2947 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(176(a,1),2945(a,1,1,1,2))]. 2948 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(57(a,1),2947(a,1,1,1))]. 2949 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(198,a,1519,a(flip),b,2948,a(flip))]. 2950 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(198,a,2013,a(flip),b,2938,a(flip))]. 2951 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(846,a,2950,a),flip(a)]. 2952 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(2951(a,2),87(a,1,2,2))]. 2953 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2417(a,1),2570(a,1,2))]. 2954 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(198,a,2426,a(flip),b,2953,a)]. 2955 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2685(a,1),2954(a,1,2))]. 2956 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(17,a,2817,a,b,2955,a)]. 2957 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(198,a,2684,a,b,2956,a(flip)),flip(a)]. 2961 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(65,a,2957,a(flip),b,1975,a(flip))]. 2962 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(2957(a,1),2766(a,1,2))]. 2963 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1987,a,2961,a)]. 2964 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(198,a,2582,a(flip),b,2961,a(flip)),flip(a)]. 2965 (1 / T(x,y)) * x = T(x,y) \ x. [para(2964(a,1),16(a,1,1))]. 2966 x / T(x,y) = T(x,y) \ x. [hyper(1290,a,2965,a)]. 2967 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(150,a,2965,a,b,963,a)]. 2970 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(198,a,1771,a,b,2966,a(flip)),flip(a)]. 2971 (T(x,y) \ x) * T(x,y) = x. [para(2966(a,1),16(a,1,1))]. 2972 (T(x,y) \ x) \ x = T(x,y). [para(2966(a,1),60(a,1,1))]. 2973 L(x,T(x,y) \ x,x) = x. [hyper(198,a,2164,a,b,2971,a(flip)),flip(a)]. 2975 (x * y) * T(K(y,x),x) = y * x. [para(2973(a,1),2163(a,1,2)),flip(a)]. 2976 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(198,a,2628,a,b,2967,a(flip)),flip(a)]. 2977 T(K(x,y),y) = K(x,y). [hyper(224,a,2975,a),flip(a)]. 2978 T(x,K(y,x)) = x. [hyper(35,a,2977,a)]. 2979 K(x,y) * y = y * K(x,y). [para(2977(a,1),106(a,1,2)),flip(a)]. 2980 (x * K(y,x)) / x = K(y,x). [para(2977(a,1),145(a,1,1,2))]. 2982 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2977(a,1),161(a,1,2,1)),flip(a)]. 2983 T(T(x,y),K(z,x)) = T(x,y). [para(2978(a,1),38(a,1,1)),flip(a)]. 2984 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2978(a,1),160(a,1,2,1)),flip(a)]. 2985 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2978(a,1),161(a,1,2,1)),flip(a)]. 2986 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2978(a,1),162(a,1,2,1)),flip(a)]. 2987 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2978(a,1),333(a,1,2,1))]. 2988 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(2978(a,1),361(a,1,2,1,1)),flip(a)]. 2989 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(2978(a,1),565(a,1,2,1,1)),flip(a)]. 2990 T(x,y \ T(y,x)) = x. [para(1083(a,1),2978(a,1,2))]. 2991 T(x,x \ ((y * x) / y)) = x. [para(1307(a,1),2978(a,1,2))]. 2992 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2978(a,1),2271(a,1,1,1)),flip(a)]. 2993 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2990(a,1),106(a,1,2))]. 2994 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2979(a,1),424(a,2,2))]. 2996 L(K(x,y),y,1 / y) = K(x,y). [hyper(198,a,2193,a,b,2980,a(flip)),flip(a)]. 2997 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(198,a,1149,a,b,2980,a(flip)),flip(a)]. 2999 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(2980(a,1),536(a,1,1,1))]. 3000 T(K(x,y),T(y,z)) = K(x,y). [hyper(35,a,2983,a)]. 3001 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(2983(a,1),333(a,1,2,1))]. 3002 ((x * y) / x) / y = y \ ((x * y) / x). [para(2991(a,1),176(a,1,2))]. 3003 K(K(x,y),T(y,z)) = 1. [hyper(36,a,3000,a)]. 3004 K(x \ T(x,y),T(y,z)) = 1. [para(1083(a,1),3003(a,1,1))]. 3005 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(37,a,3004,a)]. 3006 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(326,a,2996,a)]. 3007 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(66,a,2996,a(flip),b,171,a)]. 3008 (1 / x) \ K(y,x) = x * K(y,x). [hyper(65,a,2996,a(flip),b,171,a)]. 3009 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(65,a,3006,a(flip),b,120,a(flip)),flip(a)]. 3011 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(2917,a,3008,a)]. 3012 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(2976(a,1),16(a,1,1))]. 3013 x * (((y * x) / y) / x) = (y * x) / y. [para(3002(a,2),14(a,1,2))]. 3014 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(757(a,1),3002(a,1,1)),flip(a)]. 3015 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(273,a,3012,a)]. 3016 (T(x,y) \ 1) * T(x,y) = (x \ 1) * x. [hyper(198,a,167,a(flip),b,3012,a)]. 3017 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3012(a,1),681(a,1,2))]. 3019 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1262(a,1),3013(a,1,2))]. 3020 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3015(a,1),2429(a,1,2))]. 3021 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3015(a,1),2777(a,1,1))]. 3022 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(3015(a,1),2838(a,1,1))]. 3023 T(x,L(K(y,x),z,u)) = x. [hyper(151,a,2982,a)]. 3024 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(151,a,2985,a)]. 3025 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2986(a,1),19(a,1)),flip(a)]. 3026 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2402,a,3009,a)]. 3027 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3017(a,2),963(a,1,2))]. 3028 x * (T(x,y) / x) = T(x,y). [hyper(18,a,2074,a,b,3020,a),flip(a)]. 3030 T(x,y) / x = x \ T(x,y). [hyper(71,a,3028,a),flip(a)]. 3032 (x \ T(x,y)) * x = T(x,y). [para(3028(a,1),61(a,1,1,2))]. 3033 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1144,a,3030,a)]. 3034 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(887,a,3030,a),flip(a)]. 3035 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(880,a,3030,a)]. 3036 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(198,a,1564,a(flip),b,3030,a(flip))]. 3037 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3030(a,1),208(a,1,1)),flip(b)]. 3038 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3030(a,1),103(a,1,1))]. 3039 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3030(a,1),443(a,1,1))]. 3041 (x \ 1) \ T(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(3030(a,1),887(a,1))]. 3043 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3030(a,1),2213(a,1,1,2))]. 3044 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(3030(a,1),2415(a,1,1))]. 3045 T(x,x \ T(x,y)) = x. [hyper(242,a,3032,a)]. 3046 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(198,a,1599,a,b,3032,a(flip)),flip(a)]. 3047 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3032(a,1),28(a,2,1)),flip(a)]. 3048 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(107(a,1),3032(a,1,1,2))]. 3049 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3032(a,1),92(a,1,1))]. 3050 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(3032(a,1),102(a,1,2))]. 3051 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3032(a,1),434(a,1,1,1))]. 3052 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(3032(a,1),841(a,1,1)),flip(a)]. 3053 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1083(a,2),3045(a,1,2))]. 3054 T(1 / x,T(x,y)) = x \ 1. [hyper(150,a,3033,a,b,870,a)]. 3055 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(198,a,60,a(flip),b,3054,a)]. 3056 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(198,a,1567,a(flip),b,3054,a(flip)),flip(a)]. 3057 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3054(a,1),163(a,1,1)),flip(a)]. 3058 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3054(a,1),317(a,2,1))]. 3059 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3054(a,1),1085(a,1,1)),flip(a)]. 3060 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1096,a,3053,a)]. 3061 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3055(a,1),1970(a,1,1)),flip(a)]. 3064 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3061(a,1),1609(a,1,1))]. 3065 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(3061(a,1),2358(a,1,1,1))]. 3066 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3060(a,1),14(a,1,2))]. 3067 x / ((y * x) / y) = ((y * x) / y) \ x. [para(3060(a,1),57(a,1,2))]. 3068 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1062(a,1),3060(a,1,1,1,1))]. 3070 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2894(a,1),3066(a,1,1,1,1))]. 3071 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(66,a,3067,a(flip),b,1466,a)]. 3072 T(x,x / (y * x)) = T(x,x / (x * y)). [para(141(a,1),3046(a,1,2))]. 3075 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(145(a,1),3056(a,1,3,2))]. 3076 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3034(a,1),658(a,2,1)),flip(a)]. 3077 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3034(a,1),2669(a,1,1))]. 3079 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3057(a,1),3059(a,1,2)),flip(a)]. 3080 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(198,a,246,a(flip),b,3079,a)]. 3083 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3080(a,1),911(a,1,1,2))]. 3084 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3036(a,1),2668(a,1,2)),flip(a)]. 3085 T(x,y \ ((x * y) / x)) = x. [para(3036(a,1),3045(a,1,2))]. 3086 T(x,T(y,x) \ y) = x. [para(145(a,1),3085(a,1,2,2))]. 3087 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3086(a,1),106(a,1,2))]. 3089 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(198,a,1566,a,b,3087,a(flip)),flip(a)]. 3090 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3087(a,1),1878(a,1,1,2,1))]. 3091 L(x,x \ T(x,y),x) = x. [hyper(198,a,57,a(flip),b,3052,a)]. 3093 K(1 / x,y) = K(x \ 1,y). [hyper(198,a,2738,a(flip),b,3076,a(flip)),flip(a)]. 3094 K(1 / (1 / x),y) = K(x,y). [hyper(198,a,602,a(flip),b,3093,a)]. 3095 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(198,a,902,a(flip),b,3093,a(flip))]. 3096 K((x \ 1) \ 1,y) = K(x,y). [para(57(a,1),3093(a,1,1)),flip(a)]. 3097 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2423(a,1),3093(a,1,1))]. 3098 T(K(x,y),x) = K(x,y). [para(3094(a,1),2945(a,1,1))]. 3099 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2349,a,3098,a)]. 3100 T(x,K(x,y)) = x. [hyper(35,a,3098,a)]. 3101 K(T(x,x \ 1),y) = K(x,y). [hyper(198,a,2949,a,b,3098,a(flip)),flip(a)]. 3102 K(x,y) * x = x * K(x,y). [para(3098(a,1),106(a,1,2)),flip(a)]. 3103 T(K(x,y),z) * x = x * T(K(x,y),z). [para(3098(a,1),160(a,1,2,1)),flip(a)]. 3104 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3098(a,1),162(a,1,2,1)),flip(a)]. 3105 T(T(x,y),K(x,z)) = T(x,y). [para(3100(a,1),38(a,1,1)),flip(a)]. 3106 K(x,y) * x != z | x * K(x,y) = z. [para(3100(a,1),215(a,1,2))]. 3107 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3100(a,1),161(a,1,2,1)),flip(a)]. 3108 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3100(a,1),162(a,1,2,1)),flip(a)]. 3109 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3100(a,1),334(a,1,2,1))]. 3112 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(3093(a,1),3102(a,2,2))]. 3113 K(T(x,y),K(x,z)) = 1. [hyper(36,a,3105,a)]. 3114 T(K(x,y),T(x,z)) = K(x,y). [hyper(35,a,3105,a)]. 3117 T(T(K(x,y),z),T(x,u)) = T(K(x,y),z). [para(3114(a,1),38(a,1,1)),flip(a)]. 3118 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3114(a,1),215(a,1,2))]. 3119 T(x,T(K(x,y),z)) = x. [hyper(151,a,3103,a)]. 3120 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(716,a,3104,a),flip(a)]. 3121 T(x,R(K(x,y),z,u)) = x. [hyper(151,a,3104,a)]. 3122 K(x,R(K(x,y),z,u)) = 1. [hyper(36,a,3121,a)]. 3123 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3121(a,1),161(a,1,2,1))]. 3125 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(151,a,3108,a)]. 3126 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2970(a,1),1967(a,1,2))]. 3127 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2970(a,1),2703(a,1,1,2)),flip(a)]. 3128 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(35,a,3126,a)]. 3129 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,84,a(flip),b,2992,a)]. 3130 x / K(y,x) = K(y,x) \ x. [hyper(77,a,3129,a)]. 3132 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(2831,a,3011,a)]. 3133 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(198,a,2825,a,b,3132,a(flip)),flip(a)]. 3134 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2260,a,3027,a)]. 3135 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(198,a,230,a(flip),b,3064,a(flip)),flip(a)]. 3136 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(17,a,2813,a,b,3064,a(flip)),flip(a)]. 3138 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3064(a,1),587(a,1,1))]. 3140 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1203(a,2),3077(a,1,1)),flip(a)]. 3141 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1204(a,1),3077(a,1,1)),flip(a)]. 3143 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3134(a,1),2866(a,1,2)),flip(a)]. 3145 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(198,a,2681,a(flip),b,3084,a)]. 3146 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(65,a,3145,a(flip),b,963,a),flip(a)]. 3147 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(145(a,1),3145(a,2,1))]. 3148 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3146(a,1),2435(a,1,2))]. 3149 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(145(a,1),3148(a,1,2,2,1))]. 3150 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1199(a,1),3149(a,1,2,2,2))]. 3151 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(66,a,3147,a(flip),b,2965,a),flip(a)]. 3152 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3089(a,1),3147(a,1,1))]. 3153 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3152(a,1),57(a,1,2))]. 3154 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1199(a,1),3153(a,1,2,2))]. 3155 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(990(a,1),2962(a,1,1))]. 3156 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(22,a,2989,a)]. 3158 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2424(a,1),3021(a,2,2))]. 3159 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(2924(a,1),3021(a,1,1))]. 3160 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2422(a,1),3022(a,2,1))]. 3161 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3143(a,1),1783(a,1,1)),flip(a)]. 3162 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(107(a,1),3158(a,1,2,2))]. 3163 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2602,a,3160,a)]. 3164 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3026(a,2),14(a,1,2))]. 3165 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3047(a,1),983(a,1,2)),flip(a)]. 3166 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),3165(a,1,1)),flip(a)]. 3167 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(198,a,1914,a,b,3049,a(flip)),flip(a)]. 3168 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3089(a,1),3151(a,1,2))]. 3169 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3034(a,1),3168(a,2,1))]. 3170 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(3164(a,1),1602(a,1,1)),flip(a)]. 3171 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3164(a,1),2503(a,1,1))]. 3172 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(57(a,1),2800(a,2,2))]. 3173 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(107(a,2),3172(a,1,2))]. 3175 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [para(2715(a,1),2874(a,2,2))]. 3176 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3030(a,1),3043(a,2,2,1,2))]. 3177 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(198,a,3087,a(flip),b,3090,a)]. 3179 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,2809,a,b,3155,a)]. 3180 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(198,a,347,a(flip),b,3179,a(flip)),flip(a)]. 3181 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3152(a,1),3177(a,1,1,2))]. 3182 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(17,a,3176,a(flip),b,3181,a(flip)),flip(a)]. 3184 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(198,a,2296,a(flip),b,2689,a(flip)),flip(a)]. 3185 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2688(a,1),3184(a,2,1)),flip(a)]. 3186 K((x * y) \ x,y) = K(y \ 1,y). [hyper(198,a,2287,a(flip),b,3185,a(flip))]. 3188 K(x \ (x / y),y) = K(y \ 1,y). [para(16(a,1),3186(a,1,1,1))]. 3189 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(106(a,1),3186(a,1,1,1)),flip(a)]. 3190 K(x \ (x / y),y) = (y \ 1) * y. [hyper(198,a,167,a(flip),b,3188,a)]. 3191 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(32(a,1),3189(a,2,2)),flip(a)]. 3192 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(1298(a,1),3189(a,2,1,1))]. 3193 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(3191(a,1),2553(a,1,2)),flip(a)]. 3194 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(198,a,2885,a(flip),b,2815,a)]. 3195 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(198,a,42,a,b,2934,a(flip)),flip(a)]. 3196 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(2999(a,2),892(a,1,1,2))]. 3197 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(362(a,1),3039(a,2,1))]. 3198 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2965(a,1),3161(a,1,1)),flip(a)]. 3199 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2895(a,1),3195(a,1,1))]. 3200 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(198,a,943,a(flip),b,3199,a(flip)),flip(a)]. 3201 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(60(a,1),3200(a,2,1,1,1))]. 3202 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(107(a,2),3200(a,2,1,1)),flip(a)]. 3203 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(198,a,2449,a(flip),b,3201,a(flip)),flip(a)]. 3204 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2880(a,1),3203(a,1,1,1,1))]. 3205 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3203(a,1),3096(a,1,1)),flip(a)]. 3206 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(177(a,1),2635(a,1,1)),flip(a)]. 3207 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(198,a,2874,a,b,2648,a),flip(a)]. 3209 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(42(a,2),2671(a,2,1))]. 3210 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3140(a,1),3075(a,1,3))]. 3211 T(x,K(y,x) \ 1) = x. [para(3140(a,1),3086(a,1,2))]. 3212 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3211(a,1),106(a,1,2))]. 3213 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3212(a,1),140(a,2,1)),flip(a)]. 3214 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(198,a,3210,a(flip),b,3213,a)]. 3216 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3156(a,1),69(a,1))]. 3217 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3015(a,1),3193(a,2,2))]. 3219 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2583(a,2),2613(a,1,1))]. 3220 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2701(a,1),2706(a,1,2,2))]. 3221 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2239(a,1),2907(a,1,2))]. 3222 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3221(a,1),1423(a,2,2,1,2)),flip(a)]. 3224 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(106(a,2),3120(a,2,1,1,1))]. 3225 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(2576,a,2065,a)]. 3226 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(2015(a,1),3225(a,1,2)),flip(a)]. 3227 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1977(a,1),3226(a,2,2))]. 3228 R(x,K(x,x \ 1),y) = x. [hyper(2577,a,2814,a)]. 3229 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(2015(a,1),3228(a,1,2))]. 3230 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(3229(a,1),2340(a,1,1)),flip(a)]. 3231 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(13(a,1),2686(a,2,2,2,2,2,2))]. 3232 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1585(a,1),3065(a,2,1))]. 3234 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3232(a,2),604(a,1))]. 3235 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3099(a,1),3150(a,1,2,2))]. 3236 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3235(a,1),176(a,1,2))]. 3237 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3236(a,1),2636(a,1,1))]. 3238 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3237(a,1),2223(a,1,2)),flip(a)]. 3239 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(3238(a,1),3133(a,1,2))]. 3240 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(65,a,3239,a(flip),b,958,a),flip(a)]. 3241 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(961(a,1),3240(a,1,2))]. 3242 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2631(a,1),2781(a,1,2,1))]. 3243 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2630(a,1),3242(a,1,2,1))]. 3244 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2631(a,1),2782(a,1,2,1))]. 3245 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2621(a,1),2939(a,1,1,2))]. 3246 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2420(a,1),3159(a,2,2,2))]. 3247 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(57(a,1),3246(a,2,2))]. 3249 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(198,a,3198,a(flip),b,3127,a)]. 3250 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2970(a,1),3249(a,1,1))]. 3251 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2757(a,1),2832(a,1,2)),flip(a)]. 3252 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(198,a,26,a,b,3251,a)]. 3253 K(K(x \ 1,x) * y,(x \ 1) \ 1) != z | K(y,x) = z. [para(3251(a,2),229(a,1))]. 3255 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(2838(a,1),3252(a,1,1))]. 3256 K(x,(y \ 1) \ 1) != z | K(K(y,y \ 1) * x,y) = z. [para(2761(a,1),3253(a,1,1))]. 3257 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) != z | K(x \ y,x) = z. [para(2838(a,1),3253(a,1,1))]. 3258 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(757(a,1),3014(a,1,2)),flip(a)]. 3259 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(198,a,2025,a(flip),b,3258,a(flip))]. 3260 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2422(a,1),3206(a,2,2,1))]. 3261 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(198,a,160,a(flip),b,3260,a)]. 3262 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(2957(a,1),3261(a,1,2))]. 3263 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(2957(a,1),3262(a,1,2))]. 3265 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3263(a,1),2833(a,1,2))]. 3267 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(60(a,1),3265(a,1,2,1,1,1))]. 3268 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,2876,a,b,3267,a),flip(a)]. 3270 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3268(a,1),2829(a,1,2))]. 3271 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2902(a,1),2843(a,1,1))]. 3272 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2891(a,1),3271(a,1,1))]. 3273 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(2842,a,3272,a)]. 3275 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3166(a,1),3167(a,1,1))]. 3276 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(751,a,3275,a)]. 3277 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),3276(a,1,1)),flip(a)]. 3278 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(65,a,3091,a(flip),b,3277,a)]. 3279 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2963(a,1),3277(a,1,2)),flip(a)]. 3280 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1631(a,1),3278(a,1,1,2)),flip(a)]. 3281 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3036(a,1),3278(a,1,1)),flip(a)]. 3282 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(198,a,3044,a(flip),b,3279,a)]. 3284 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3282(a,1),551(a,2,1))]. 3285 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3145(a,1),3281(a,1,2)),flip(a)]. 3286 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(145(a,1),3285(a,1,1,2)),flip(a)]. 3287 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(145(a,1),3286(a,1,2,1)),flip(a)]. 3288 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3287(a,1),14(a,1,2))]. 3289 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),3280(a,2,1))]. 3291 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2941(a,1),3289(a,1,2))]. 3292 K(x,y) \ x != x * z | K(x,y) \ 1 = z. [para(3291(a,1),19(a,1))]. 3293 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(14(a,1),3284(a,1,2,2,2))]. 3295 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3054(a,1),3293(a,1,2,2)),flip(a)]. 3296 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1372(a,1),3295(a,2,2))]. 3298 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(198,a,168,a(flip),b,3296,a)]. 3299 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(267,a,3298,a),flip(a)]. 3301 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(198,a,3033,a(flip),b,3299,a)]. 3302 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1631(a,1),3301(a,1,1,2))]. 3303 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(13(a,1),3302(a,1,1)),flip(a)]. 3305 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1631(a,1),3303(a,1,2)),flip(a)]. 3306 L(K(x,y),x \ 1,x) != z * u | z \ K(x,y) = u. [para(3305(a,2),266(a,1))]. 3307 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(3306,a,168,a(flip)),flip(a)]. 3308 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1405,a,3307,a)]. 3309 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(65,a,3307,a(flip),b,1404,a)]. 3310 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(3307(a,1),20(a,1))]. 3311 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(3308(a,1),191(a,1,2)),flip(b)]. 3312 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(3308(a,1),507(a,1,2))]. 3313 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(198,a,1638,a(flip),b,3170,a)]. 3314 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(198,a,3072,a,b,3313,a(flip)),flip(a)]. 3315 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(198,a,42,a,b,3314,a(flip)),flip(a)]. 3316 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2114(a,1),3315(a,1,1)),flip(a)]. 3317 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(65,a,949,a,b,3316,a)]. 3319 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(198,a,1396,a(flip),b,3317,a(flip)),flip(a)]. 3320 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3317(a,1),3209(a,1,1)),flip(a)]. 3321 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(198,a,3164,a,b,3319,a),flip(a)]. 3322 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1760(a,2),3321(a,1,2))]. 3323 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3320(a,1),3234(a,1))]. 3324 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3207(a,2),2739(a,1,2))]. 3325 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3175(a,1),3324(a,1,2))]. 3326 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2015(a,1),2784(a,1,1))]. 3327 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3015(a,1),3326(a,1,1))]. 3328 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(60(a,1),3327(a,2,2))]. 3331 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3328(a,1),2829(a,1,2))]. 3332 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1062(a,1),3068(a,2,1))]. 3333 L(x,K(y,y \ 1),1 / (1 / y)) = x. [hyper(198,a,2812,a(flip),b,3227,a(flip))]. 3335 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(3333(a,1),1998(a,1,2)),flip(a)]. 3336 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2753(a,1),3335(a,1,2)),flip(a)]. 3337 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2759(a,1),3335(a,1,2)),flip(a)]. 3338 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2260,a,3336,a)]. 3339 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1170,a,3337,a),flip(a)]. 3340 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(65,a,14,a(flip),b,3337,a),flip(a)]. 3341 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3015(a,1),3337(a,1,2,1))]. 3342 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2551(a,1),3338(a,1,2))]. 3343 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3338(a,1),2719(a,1,1))]. 3344 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(198,a,2777,a(flip),b,3339,a)]. 3345 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2383(a,1),3340(a,1,2))]. 3346 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3340(a,1),2757(a,1,1)),flip(a)]. 3347 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(18,a,2802,a,b,3343,a)]. 3348 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(222(a,1),3343(a,1,1)),flip(a)]. 3349 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(32(a,2),3344(a,1,2))]. 3350 T(x,1 / (1 / y)) = T(x,y). [hyper(324,a,3349,a),flip(a)]. 3351 T(x,1 / y) = T(x,y \ 1). [para(57(a,1),3350(a,1,2,2))]. 3352 T(x,(y \ 1) \ 1) = T(x,y). [para(125(a,1),3350(a,1,2)),flip(a)]. 3354 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(198,a,702,a(flip),b,3351,a(flip))]. 3355 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3351(a,1),106(a,1,2))]. 3356 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3351(a,1),3095(a,2,1,1))]. 3357 T(T(x,y),K(z,z \ 1)) = T(x,(y \ 1) \ 1). [hyper(198,a,2581,a,b,3352,a),flip(a)]. 3358 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3352(a,1),106(a,1,2))]. 3359 T(x,T(y,y \ 1)) = T(x,y). [para(107(a,2),3352(a,1,2))]. 3360 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1378(a,2),3352(a,1,2))]. 3361 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2450(a,2),3352(a,1,2))]. 3365 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3359(a,1),106(a,1,2))]. 3366 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3359(a,1),583(a,1,2))]. 3367 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3365(a,1),2492(a,2,1))]. 3368 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3366(a,2),469(a,2,1))]. 3369 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2897(a,1),3354(a,1,1,1))]. 3370 T(1 / (1 / x),y / (y * x)) = x. [hyper(150,a,3347,a,b,xx)]. 3372 T(1 / (1 / x),(y / x) / y) = x. [para(16(a,1),3370(a,1,2,2))]. 3373 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3372(a,1),146(a,1,2,2))]. 3374 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1817(a,2),3373(a,1,2))]. 3375 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2424(a,1),3341(a,2,1))]. 3376 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(65,a,14,a(flip),b,3375,a),flip(a)]. 3377 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2775,a,3376,a)]. 3378 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3376(a,1),2829(a,1,2))]. 3379 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1979(a,1),3377(a,1,2))]. 3380 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2288(a,1),3342(a,1,2))]. 3381 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(3112(a,1),3345(a,1,2))]. 3382 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(2921,a,3381,a)]. 3383 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3382(a,1),1636(a,1,1))]. 3384 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(87(a,2),3383(a,1,1,2))]. 3385 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2645(a,1),3369(a,1,1))]. 3386 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(57(a,1),3379(a,2,1,1,2))]. 3387 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2769,a,3386,a)]. 3388 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(13(a,1),3387(a,1,2)),flip(a)]. 3389 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3388(a,1),14(a,1,2))]. 3390 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2070(a,2),3389(a,1,2))]. 3391 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2910(a,1),3389(a,1,2)),flip(a)]. 3392 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3391(a,1),957(a,1,2))]. 3393 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(66,a,3392,a(flip),b,3267,a(flip))]. 3394 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1979(a,1),3380(a,1,2))]. 3395 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [hyper(2787,a,3348,a)]. 3396 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(198,a,351,a,b,3348,a),flip(a)]. 3397 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3325(a,1),3384(a,1,1,2))]. 3398 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(198,a,3383,a(flip),b,3397,a(flip))]. 3399 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(15(a,1),3398(a,1,2)),flip(a)]. 3400 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1415(a,1),3399(a,1,2))]. 3401 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2785(a,1),3400(a,1,2))]. 3402 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(2817(a,1),3401(a,1,2))]. 3403 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2836(a,1),3390(a,1,2))]. 3404 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(107(a,2),3403(a,1,2,1))]. 3405 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2731(a,1),3394(a,2,1,2))]. 3406 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [hyper(198,a,120,a(flip),b,3405,a)]. 3408 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(147(a,1),3367(a,2,1))]. 3409 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(198,a,292,a(flip),b,3408,a)]. 3412 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3409(a,1),222(a,1,2)),flip(a)]. 3413 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(198,a,12,a(flip),b,3412,a)]. 3414 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3413(a,1),255(a,1,1)),flip(b)]. 3415 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3414,a,2514,a)]. 3416 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(65,a,3415,a(flip),b,2180,a)]. 3417 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(60(a,1),3415(a,1,2))]. 3418 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1050(a,1),3417(a,1,1))]. 3419 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1583(a,1),3418(a,1,1)),flip(a)]. 3420 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2617,a,2616,a),flip(a)]. 3421 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2625,a,2624,a),flip(a)]. 3422 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3270(a,1),3138(a,1,2))]. 3423 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3422(a,1),400(a,1))]. 3424 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(996(a,1),3192(a,2,1))]. 3425 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(198,a,2307,a(flip),b,3424,a)]. 3426 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(198,a,3015,a(flip),b,3425,a(flip)),flip(a)]. 3428 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(198,a,2794,a(flip),b,3426,a(flip)),flip(a)]. 3429 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3428(a,2),2553(a,1,2))]. 3430 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3406(a,1),2805(a,1,1))]. 3431 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(867(a,1),3430(a,2,1,2))]. 3432 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2766(a,1),2786(a,1,2)),flip(a)]. 3433 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(198,a,30,a,b,3432,a)]. 3434 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(107(a,2),3433(a,1,2,2))]. 3435 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1979(a,1),3434(a,1,3))]. 3436 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(57(a,1),3435(a,2,3))]. 3437 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2869(a,1),2908(a,1,2)),flip(a)]. 3438 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3437(a,2),400(a,1))]. 3439 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3229(a,1),3230(a,2,2,1,1))]. 3440 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(198,a,3035,a(flip),b,3439,a)]. 3442 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3035(a,1),3440(a,1,1))]. 3443 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3442(a,1),3083(a,1,1))]. 3444 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3080(a,1),3443(a,2,1))]. 3446 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3444(a,1),14(a,1,2))]. 3448 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(198,a,2620,a(flip),b,3446,a(flip)),flip(a)]. 3449 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(102(a,1),2864(a,1,1,1,1,2))]. 3450 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2452,a,3449,a)]. 3451 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3070(a,1,1,1))]. 3453 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3451(a,1),20(a,1)),flip(a)]. 3454 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(60(a,1),2542(a,1,1))]. 3455 L(x,y,z) \ (L(1 / (1 / x),y,z) \ (L(x,y,z) * u)) = (1 / (1 / L(x,y,z))) \ u. [para(60(a,1),3454(a,1,2,2,1))]. 3458 L(x,y,z) \ (L(1 / (1 / x),y,z) \ (L(x,y,z) * u)) = L(1 / (1 / x),y,z) \ u. [para(2537(a,2),3455(a,2,1))]. 3459 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2304(a,1),2560(a,2,1,2))]. 3460 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1626(a,1),3459(a,2,1))]. 3461 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(198,a,54,a(flip),b,3460,a)]. 3462 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2687,a,3461,a)]. 3464 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. [hyper(65,a,3462,a(flip),b,2295,a),flip(a)]. 3465 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [para(3464(a,1),60(a,1,1))]. 3466 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2680(a,1),3465(a,1,1))]. 3467 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(1874(a,1),3466(a,1,1,2)),flip(a)]. 3468 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(13(a,1),3467(a,2,1))]. 3469 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(198,a,2677,a(flip),b,3468,a)]. 3471 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(1874(a,1),3469(a,1,1))]. 3472 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3471(a,1),2189(a,1,2)),flip(a)]. 3473 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(1198(a,2),3472(a,1,1,2)),flip(a)]. 3474 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2678(a,1),3473(a,1,2))]. 3475 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(13(a,1),3474(a,1,2,1,2,2,1))]. 3476 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(106(a,1),3475(a,1,2,1,2))]. 3477 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(26(a,2),3476(a,1,2,1)),flip(a)]. 3478 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2922(a,1),2925(a,1,1))]. 3479 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3099(a,1),3154(a,1,2)),flip(a)]. 3480 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(198,a,3130,a(flip),b,3479,a)]. 3481 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3141(a,1),3479(a,1,2))]. 3482 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(13(a,1),3481(a,1,2,1,2,2,1))]. 3483 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(106(a,1),3482(a,1,2,1,2))]. 3484 x * (K(y,x) \ 1) = x / K(y,x). [para(26(a,2),3483(a,1,2,1))]. 3485 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(198,a,3130,a(flip),b,3484,a)]. 3486 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(65,a,3485,a(flip),b,3212,a)]. 3487 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3485(a,1),19(a,1))]. 3488 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3485(a,1),3214(a,1,1))]. 3489 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3486(a,1),868(a,1,2,1))]. 3490 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3488(a,1),14(a,1,2))]. 3491 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3490(a,1),2783(a,1,1)),flip(a)]. 3492 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(198,a,231,a(flip),b,3489,a(flip))]. 3493 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(198,a,347,a(flip),b,3492,a(flip))]. 3494 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(198,a,3493,a(flip),b,3491,a)]. 3495 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3494(a,1),2370(a,1,2,2))]. 3496 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3480(a,1),3169(a,1,2)),flip(a)]. 3497 1 / (K(x,y) \ y) = K(x,y) / y. [para(1198(a,2),3496(a,1,1)),flip(a)]. 3498 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3497(a,1),60(a,1,1))]. 3499 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(520,a,3495,a),flip(a)]. 3500 K(x,(y \ 1) \ 1) = K(x,y). [hyper(198,a,586,a(flip),b,3499,a),flip(a)]. 3502 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3499(a,2),589(a,1))]. 3503 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(3257,a,3500,a),flip(a)]. 3504 K(K(x,x \ 1) * y,x) = K(y,x). [hyper(3256,a,3500,a)]. 3505 K(K(x \ 1,x) * y,x) = K(y,x). [hyper(3253,a,3500,a),flip(a)]. 3506 K(x,1 / y) = K(x,y \ 1). [para(60(a,1),3500(a,1,2,1)),flip(a)]. 3507 K(x,1 / (1 / y)) = K(x,y). [para(129(a,1),3500(a,1,2)),flip(a)]. 3508 K(x,T(y,1 / y)) = K(x,y). [para(1385(a,2),3500(a,1,2))]. 3509 K(x,T(y / z,z / y)) = K(x,y / z). [para(2116(a,2),3500(a,1,2))]. 3511 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2425(a,1),3500(a,1,2)),flip(a)]. 3512 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2455(a,2),3500(a,1,2))]. 3513 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(2855(a,1),3500(a,1,2)),flip(a)]. 3514 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3500(a,1),3009(a,2,2))]. 3517 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3506(a,1),2188(a,2,1))]. 3519 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(2546(a,1),3507(a,1,2))]. 3520 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2218(a,2),3504(a,1,1))]. 3521 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(2018(a,1),3505(a,1,1,1))]. 3522 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2912(a,1),3503(a,1,1))]. 3523 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2868(a,1),3520(a,1,1,1))]. 3524 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(2762(a,1),3521(a,1,1))]. 3525 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(198,a,2952,a,b,3513,a(flip)),flip(a)]. 3526 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(198,a,896,a,b,3522,a(flip)),flip(a)]. 3527 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3035(a,1),3222(a,2,1))]. 3528 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1374(a,1),3368(a,1,1))]. 3529 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1374(a,1),3528(a,1,2,3))]. 3530 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(3173(a,1),3529(a,1,2)),flip(a)]. 3531 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3366(a,1),3530(a,1,1))]. 3532 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1374(a,1),3531(a,1,2))]. 3533 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2440(a,1),3531(a,1,1)),flip(a)]. 3534 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(198,a,3360,a(flip),b,3532,a(flip))]. 3535 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(198,a,3385,a(flip),b,3534,a)]. 3536 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(198,a,2700,a(flip),b,3535,a)]. 3537 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(198,a,3536,a(flip),b,3533,a(flip)),flip(a)]. 3538 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1374(a,1),3537(a,2,2))]. 3539 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(198,a,3360,a(flip),b,3538,a)]. 3540 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(198,a,3128,a(flip),b,3539,a)]. 3541 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2666(a,1),3540(a,1,1))]. 3542 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(198,a,3250,a(flip),b,3541,a(flip)),flip(a)]. 3543 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3542(a,1),800(a,1,1))]. 3544 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(198,a,410,a(flip),b,3543,a(flip))]. 3545 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(198,a,26,a,b,3544,a),flip(a)]. 3546 L(K(x,y),y \ 1,y) = K(x,y). [para(26(a,2),3545(a,2,1)),flip(a)]. 3547 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(65,a,3546,a(flip),b,168,a),flip(a)]. 3548 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3547(a,1),30(a,2,2)),flip(a)]. 3549 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(60(a,1),3396(a,1,1,3))]. 3550 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2700(a,1),3549(a,1,1))]. 3551 (((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),1671(a,2,2,1,1))]. 3552 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1610(a,1),3551(a,1,1))]. 3553 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1646(a,1),3552(a,1,1,1))]. 3554 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(434,a,3553,a),flip(a)]. 3555 R(x,y,z) * L(R(x,y,z) \ 1,u,w) != v5 | R(x * L(x \ 1,u,w),y,z) = v5. [para(3553(a,1),434(a,1))]. 3556 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(666(a,1),3554(a,2,1,2))]. 3557 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1587(a,1),3554(a,1,2))]. 3558 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1116(a,1),3556(a,1,2))]. 3559 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(130(a,1),3558(a,2,1,2))]. 3560 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1975(a,2),3559(a,2,1))]. 3561 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(12(a,1),3557(a,1,2,2)),flip(a)]. 3562 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3322(a,1),3561(a,1,1)),flip(a)]. 3563 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3319(a,1),3562(a,2,1))]. 3564 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(198,a,3171,a(flip),b,3563,a)]. 3565 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,1975,a(flip),b,3564,a)]. 3566 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(198,a,3419,a,b,3565,a(flip)),flip(a)]. 3567 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3566(a,1),57(a,1,2)),flip(a)]. 3568 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(125(a,1),3566(a,1,1,1)),flip(a)]. 3569 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2424(a,1),3566(a,1,1,1))]. 3570 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(57(a,1),3567(a,1,1,2)),flip(a)]. 3571 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3568(a,1),60(a,1,1)),flip(a)]. 3572 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3570(a,1),3094(a,1,1))]. 3573 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3570(a,1),3350(a,1,2))]. 3574 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(440(a,1),3571(a,2,1,1))]. 3575 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3571(a,2),2434(a,1,1))]. 3576 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2701(a,1),3571(a,2,1,1))]. 3577 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3571(a,2),3352(a,1,2))]. 3578 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(198,a,1524,a,b,3573,a(flip)),flip(a)]. 3579 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(2933(a,2),3578(a,2,2)),flip(a)]. 3580 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(651(a,1),3569(a,1,1)),flip(a)]. 3581 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(198,a,2725,a,b,3576,a(flip)),flip(a)]. 3582 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1620(a,1),3579(a,2,1))]. 3583 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3582(a,2),3106(a,1))]. 3584 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(214,a,3575,a),flip(a)]. 3585 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2433(a,1),3584(a,2,1))]. 3586 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(198,a,3450,a(flip),b,3585,a(flip)),flip(a)]. 3587 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(198,a,2854,a(flip),b,3585,a(flip)),flip(a)]. 3588 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3571(a,2),3587(a,1,1))]. 3589 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3217(a,1),3588(a,2,1))]. 3590 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3574(a,1),3589(a,1,1))]. 3591 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3217(a,1),3586(a,2,1))]. 3592 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),3590(a,1,2,1))]. 3593 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1377,a,3592,a),flip(a)]. 3595 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(123(a,1),2561(a,1,2,2,2,2))]. 3596 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(198,a,3231,a(flip),b,3595,a(flip))]. 3598 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(2686(a,1),3596(a,2,2))]. 3599 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(49(a,1),3598(a,2,2,2,2,2,2,2))]. 3601 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(57(a,1),3599(a,2,2,2,2,2))]. 3602 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1975(a,2),3601(a,2,2,2))]. 3603 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3602(a,1),19(a,1)),flip(a)]. 3604 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2385(a,1),1091(a,1,1,2))]. 3605 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(16(a,1),3604(a,1,1,2))]. 3607 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1063(a,1),3605(a,1,1)),flip(a)]. 3609 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3607(a,1),3332(a,1,1))]. 3610 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(65,a,3609,a(flip),b,3291,a)]. 3611 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2403,a,3610,a),flip(a)]. 3613 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3611(a,1),2301(a,1,1))]. 3614 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3323,a,3613,a)]. 3615 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(198,a,3259,a,b,3614,a(flip)),flip(a)]. 3616 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3614(a,1),2341(a,1,1))]. 3617 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3615(a,1),14(a,1,2))]. 3618 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(198,a,3567,a(flip),b,3617,a)]. 3619 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,2007,a,b,3618,a),flip(a)]. 3620 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(356,a,3619,a)]. 3621 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3619(a,1),1985(a,1,1)),flip(a)]. 3622 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3620(a,1),273(a,1))]. 3623 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3620(a,1),3591(a,1,1))]. 3624 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(198,a,3611,a(flip),b,3621,a)]. 3625 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3623(a,1),20(a,1))]. 3626 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3096(a,1),3623(a,1,1))]. 3627 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3096(a,1),3616(a,1,1)),flip(a)]. 3628 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2018(a,1),3626(a,2,1,2))]. 3630 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(198,a,3619,a(flip),b,3627,a(flip))]. 3631 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(198,a,3096,a(flip),b,3630,a)]. 3632 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3631(a,1),102(a,1,1)),flip(a)]. 3633 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(390,a,3632,a)]. 3634 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,3628,a(flip),b,3632,a)]. 3635 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,2583,a,b,3634,a)]. 3638 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3635(a,1),3628(a,1,1)),flip(a)]. 3639 L(x,y,K(z,z \ 1)) = x. [para(3635(a,1),3633(a,1,3))]. 3641 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(198,a,3420,a,b,3639,a(flip)),flip(a)]. 3642 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(198,a,94,a(flip),b,3639,a(flip)),flip(a)]. 3643 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3639(a,1),92(a,1,2))]. 3644 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3639(a,1),339(a,1,2)),flip(a)]. 3647 L(x,y,K(z,1 / z)) = x. [para(1972(a,2),3639(a,1,3))]. 3648 L(x,y,z * (1 / z)) = x. [para(1975(a,1),3639(a,1,3))]. 3649 L(x,y,K(z \ 1,z)) = x. [para(1979(a,1),3639(a,1,3))]. 3650 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3639(a,1),2034(a,1,2)),flip(a)]. 3651 L(x,y,K(z \ u,u \ z)) = x. [para(2284(a,1),3639(a,1,3))]. 3653 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3647(a,1),92(a,1,2))]. 3654 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3647(a,1),339(a,1,2)),flip(a)]. 3655 ((x * (1 / x)) \ y) \ z = y \ ((x * (1 / x)) * z). [hyper(482,a,3648,a),flip(a)]. 3656 ((x * (1 / x)) * y) \ z = y \ ((x * (1 / x)) \ z). [hyper(198,a,196,a(flip),b,3648,a(flip)),flip(a)]. 3657 ((x * (1 / x)) * y) / z = (x * (1 / x)) * (y / z). [para(3648(a,1),451(a,1,2))]. 3658 L(((x * (1 / x)) \ 1) * y,x * (1 / x),x) = T(x,x \ 1) \ (x * y). [para(3648(a,1),2579(a,1,2,2)),flip(a)]. 3659 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3438,a,3649,a),flip(a)]. 3660 L(x,y,K(z \ 1,z)) = u \ (u * x). [hyper(198,a,13,a,b,3649,a)]. 3661 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(198,a,3245,a(flip),b,3649,a(flip))]. 3662 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(198,a,94,a(flip),b,3649,a(flip)),flip(a)]. 3663 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3649(a,1),92(a,1,2))]. 3664 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3649(a,1),451(a,1,2))]. 3665 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3649(a,1),2622(a,1,2))]. 3667 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3651(a,1),92(a,1,2))]. 3668 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(198,a,2890,a,b,3659,a(flip)),flip(a)]. 3670 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(57(a,1),3659(a,1,3)),flip(a)]. 3671 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3423,a,3670,a)]. 3672 L(x,y,K(z \ 1,z)) != u | u = x. [para(3660(a,2),191(a,1))]. 3673 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) != u | y \ z = u. [para(94(a,1),3672(a,1)),flip(b)]. 3675 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(3421(a,2),3672(a,1)),flip(b)]. 3676 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(2799,a,3661,a)]. 3678 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3644(a,1),2589(a,1))]. 3679 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2589,a,3650,a)]. 3680 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(198,a,94,a(flip),b,3671,a(flip))]. 3682 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(65,a,2583,a(flip),b,3638,a)]. 3683 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(66,a,3638,a(flip),b,102,a)]. 3685 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2753(a,1),3642(a,1,1)),flip(a)]. 3687 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(2844(a,1),3642(a,1,1))]. 3688 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(424,a,3643,a)]. 3690 (K(x,x \ 1) * y) * z = (y * z) * K(x,x \ 1). [hyper(198,a,2583,a(flip),b,3643,a)]. 3691 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(150,a,3643,a,b,14,a),flip(a)]. 3693 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(198,a,3560,a,b,3688,a(flip)),flip(a)]. 3694 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(198,a,2595,a(flip),b,3653,a)]. 3695 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(2772(a,1),3662(a,1,1)),flip(a)]. 3696 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2869(a,1),3662(a,1,1))]. 3698 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3663(a,1),30(a,2,1,1)),flip(a)]. 3699 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3664(a,1),108(a,1,1))]. 3700 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3625,a,3665,a)]. 3702 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(66,a,59,a(flip),b,3665,a),flip(a)]. 3703 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3665(a,1),24(a,2,1)),flip(a)]. 3704 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3665(a,1),28(a,2,1)),flip(a)]. 3705 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3665(a,1),400(a,1,2,2))]. 3706 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3665(a,1),2906(a,1,1))]. 3707 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3622,a,3700,a)]. 3708 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3700(a,1),1065(a,1,2))]. 3712 (x * K(y,y \ 1)) \ ((x * (z * u)) * K(y,y \ 1)) != z * w | w = u. [para(3682(a,2),19(a,2)),flip(a)]. 3713 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(12(a,1),3685(a,2,2))]. 3714 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2753(a,1),3685(a,2,2))]. 3715 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [para(2597(a,2),3713(a,1,1))]. 3716 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [hyper(66,a,79,a(flip),b,3690,a)]. 3717 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(66,a,79,a(flip),b,3694,a)]. 3719 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(12(a,1),3695(a,2,2))]. 3720 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1951(a,1),3695(a,2,2))]. 3721 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3695(a,1),2900(a,1))]. 3725 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(198,a,107,a,b,3714,a),flip(a)]. 3728 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3716(a,1),2774(a,1,1))]. 3729 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(734,a,3717,a)]. 3731 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(106(a,1),3691(a,1,2,2))]. 3734 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3696(a,1),3527(a,1,2,1)),flip(a)]. 3735 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2916(a,1),3699(a,1,1))]. 3736 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,2865,a,b,3708,a),flip(a)]. 3738 R(x,y,z) / x = x \ R(x,y,z). [hyper(198,a,1584,a(flip),b,3736,a(flip)),flip(a)]. 3739 (x \ R(x,y,z)) * x = R(x,y,z). [para(3738(a,1),16(a,1,1))]. 3740 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3738(a,1),448(a,1,1))]. 3741 T(x,x \ R(x,y,z)) = x. [hyper(242,a,3739,a)]. 3742 x \ (K(y \ 1,y) * z) != u | (K(y,y \ 1) * x) \ z = u. [para(2761(a,1),3673(a,1,1))]. 3743 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2603(a,1),3667(a,1,1))]. 3744 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. [para(2715(a,1),3675(a,1,1,2))]. 3745 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3740(a,2),2427(a,1,1,1,1))]. 3746 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3743(a,2),136(a,1)),flip(b)]. 3747 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(198,a,3219,a(flip),b,3683,a(flip))]. 3748 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1979(a,1),3747(a,1,2)),flip(a)]. 3749 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1979(a,1),3748(a,1,3)),flip(a)]. 3750 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3663(a,1),3698(a,1,1))]. 3751 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(198,a,3664,a(flip),b,3750,a(flip)),flip(a)]. 3752 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3751(a,1,2)),flip(a)]. 3753 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(198,a,3244,a(flip),b,3752,a)]. 3754 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2770,a,3752,a(flip))]. 3755 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1951(a,1),3754(a,1,2,1))]. 3756 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2761(a,1),3754(a,1,2,1)),flip(a)]. 3757 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(198,a,2583,a(flip),b,3756,a)]. 3758 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3205(a,1),3734(a,2,2))]. 3759 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2776(a,1),3753(a,1,1)),flip(a)]. 3760 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(77,a,3759,a)]. 3761 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3759(a,1,1,2,1)),flip(a)]. 3762 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),3760(a,1,1,1)),flip(a)]. 3763 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(440(a,1),3761(a,2,1,2))]. 3764 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2701(a,1),3761(a,2,1,2))]. 3765 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3762(a,1),14(a,1,2)),flip(a)]. 3766 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3765(a,2),2490(a,1,1))]. 3767 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(66,a,3763,a(flip),b,172,a)]. 3768 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(198,a,3431,a(flip),b,3764,a(flip))]. 3769 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(66,a,3764,a(flip),b,2698,a),flip(a)]. 3770 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3764(a,1),3550(a,1,1)),flip(a)]. 3771 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3768(a,1,1)),flip(a)]. 3772 x * (y \ T(y,x)) = (y * x) / y. [hyper(77,a,3771,a),flip(a)]. 3773 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(66,a,14,a(flip),b,3771,a),flip(a)]. 3774 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(66,a,3771,a(flip),b,3050,a),flip(a)]. 3775 x \ ((y * x) / y) = y \ T(y,x). [hyper(71,a,3772,a)]. 3776 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(65,a,270,a(flip),b,3772,a),flip(a)]. 3777 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(65,a,145,a(flip),b,3772,a)]. 3778 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,3019,a,b,3772,a),flip(a)]. 3779 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,3013,a,b,3772,a),flip(a)]. 3780 (x \ T(x,y)) * y = (x * y) / x. [hyper(198,a,2993,a,b,3772,a(flip)),flip(a)]. 3782 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3772(a,1),871(a,1,2))]. 3783 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3772(a,1),2186(a,1,1))]. 3784 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3034(a,1),3772(a,1,2)),flip(a)]. 3785 ((x * y) / x) \ y = T(x,y) \ x. [para(3772(a,1),3182(a,1,1))]. 3786 (T(x,y) \ x) * ((x * y) / x) = y. [para(3772(a,1),3288(a,1,2))]. 3787 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3775(a,1),1563(a,1,1)),flip(a)]. 3788 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3777(a,2),3038(a,1,1))]. 3789 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3779(a,1),420(a,1,1,1))]. 3790 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3779(a,1),536(a,1,1,1))]. 3791 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(14(a,1),3785(a,1,1,1)),flip(a)]. 3792 T(x,T(y,x)) \ x = y \ T(y,x). [para(145(a,1),3785(a,1,1)),flip(a)]. 3793 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(3785(a,1),1036(a,1,1,2,2)),flip(a)]. 3794 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3785(a,1),1253(a,1,2,2,1))]. 3795 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3453,a,3786,a)]. 3796 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(3792(a,1),76(a,1,2)),flip(b)]. 3797 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3792(a,1),2972(a,1,1))]. 3798 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3792(a,2),3771(a,1,1,2))]. 3799 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3034(a,1),3797(a,1,1))]. 3800 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(107(a,1),3773(a,1,2,2))]. 3801 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3783(a,1),400(a,1,1))]. 3802 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(150,a,3798,a,b,xx)]. 3804 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3800(a,1),191(a,1,2)),flip(b)]. 3805 R(x,y \ T(y,x),y) = x. [hyper(198,a,124,a(flip),b,3774,a)]. 3807 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(3805(a,1),42(a,2,1))]. 3808 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(3807(a,1),3050(a,1,1)),flip(a)]. 3809 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(198,a,3032,a(flip),b,3787,a)]. 3810 T(x,R(y,y \ 1,x)) != z | T(x,y) = z. [para(3787(a,2),3037(a,1))]. 3811 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3583,a,3809,a),flip(a)]. 3813 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3809(a,1),3583(a,1))]. 3814 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(107(a,2),3811(a,1,2,1))]. 3815 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(108(a,1),3776(a,1,2))]. 3816 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(198,a,3791,a,b,3815,a(flip)),flip(a)]. 3818 x / (x / y) = y * (T(y,y \ x) \ y). [para(3816(a,2),14(a,1,2)),flip(a)]. 3819 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(13(a,1),3818(a,2,2,1,2))]. 3820 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1618,a,3778,a)]. 3821 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(198,a,1069,a,b,3778,a(flip)),flip(a)]. 3822 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(198,a,2518,a(flip),b,3778,a(flip)),flip(a)]. 3823 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(3778(a,1),1618(a,1))]. 3824 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3778(a,1),1789(a,1,1))]. 3825 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3778(a,1),2088(a,2,2,1))]. 3826 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3778(a,1),2142(a,2,2,1))]. 3827 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3778(a,1),2500(a,1,1))]. 3828 x * K(x,(x / y) / x) != z | T(x,y \ 1) = z. [para(3820(a,2),212(a,1,2)),flip(b)]. 3829 (x / ((x * y) / x)) * y = x * (T(x,y) \ x). [hyper(198,a,1465,a(flip),b,3819,a(flip)),flip(a)]. 3830 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(198,a,1014,a(flip),b,3819,a(flip)),flip(a)]. 3831 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3819(a,2),19(a,1))]. 3832 x \ (y * (T(y,x) \ y)) = T(y / ((y * x) / y),x). [hyper(150,a,3829,a,b,14,a),flip(a)]. 3834 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(3830(a,1),60(a,1,1))]. 3835 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3830(a,1),1206(a,2,2,1,2))]. 3836 T(x,x / (x * y)) = T(x,y \ 1). [hyper(3828,a,1625,a),flip(a)]. 3837 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2137,a,3836,a)]. 3840 T(x,x / (y * x)) = T(x,y \ 1). [hyper(198,a,3072,a,b,3836,a(flip)),flip(a)]. 3841 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(66,a,3836,a(flip),b,2136,a)]. 3842 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3836(a,1),2139(a,1,2)),flip(a)]. 3844 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1029,a,3840,a)]. 3845 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(65,a,3840,a(flip),b,1028,a)]. 3847 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(60(a,1),3841(a,1,1,2))]. 3848 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3841(a,2),140(a,2,1))]. 3849 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(17,a,819,a,b,3844,a)]. 3851 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(60(a,1),3845(a,2,2,1))]. 3852 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(315(a,2),3845(a,2,2)),flip(a)]. 3853 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(3845(a,2),104(a,1,1,1)),flip(a)]. 3854 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(65,a,3847,a,b,xx)]. 3855 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1152,a,3851,a)]. 3857 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(60(a,1),3852(a,2,2,2))]. 3858 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(952(a,1),3784(a,2,2))]. 3859 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3814(a,2),19(a,1))]. 3860 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(198,a,3820,a(flip),b,3824,a),flip(a)]. 3863 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3855(a,1),378(a,1,2))]. 3864 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3058(a,1),3860(a,1,2,2,1)),flip(a)]. 3865 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3788(a,1),799(a,1,1))]. 3866 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(198,a,3820,a(flip),b,3827,a)]. 3867 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(198,a,1163,a(flip),b,3769,a(flip)),flip(a)]. 3868 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3778(a,1),3822(a,1,1))]. 3869 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3820(a,1),3825(a,1,1))]. 3870 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(13(a,1),3849(a,1,2,1)),flip(a)]. 3871 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(198,a,2847,a(flip),b,3870,a(flip))]. 3872 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(139(a,2),3871(a,1,2))]. 3873 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(66,a,3872,a(flip),b,745,a),flip(a)]. 3874 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(2950(a,1),3857(a,1,2))]. 3875 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3874(a,1),3525(a,1,2)),flip(a)]. 3876 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(198,a,3526,a(flip),b,3875,a),flip(a)]. 3877 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3858(a,2),19(a,1))]. 3878 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(198,a,3783,a(flip),b,3873,a(flip)),flip(a)]. 3879 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(198,a,1780,a(flip),b,3878,a(flip)),flip(a)]. 3880 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),3879(a,1,1,1)),flip(a)]. 3881 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),3880(a,1,1,1)),flip(a)]. 3882 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(198,a,3668,a(flip),b,3795,a(flip)),flip(a)]. 3883 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2884(a,1),3882(a,2,1))]. 3884 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(198,a,3881,a(flip),b,3883,a(flip))]. 3885 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3884(a,1),2670(a,1,2,1))]. 3886 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(198,a,222,a(flip),b,3758,a),flip(a)]. 3887 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),3865(a,2,1))]. 3888 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(198,a,3866,a,b,3864,a)]. 3889 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3352(a,1),3888(a,2,1,2))]. 3890 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3770(a,2,1,1,2))]. 3891 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(60(a,1),3890(a,2,2))]. 3892 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(198,a,1456,a(flip),b,3835,a(flip))]. 3893 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(106(a,1),3892(a,2,1,2))]. 3894 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3785(a,1),3794(a,2,2))]. 3895 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3735(a,2),3721(a,1))]. 3896 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3665(a,1),3704(a,1,2))]. 3897 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(198,a,3664,a(flip),b,3706,a(flip)),flip(a)]. 3898 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(723,a,3896,a)]. 3899 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3672,a,3898,a)]. 3901 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2597(a,2),3899(a,1,3))]. 3902 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2822(a,1),3901(a,1,3)),flip(a)]. 3903 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3665(a,1),3703(a,1,2,1))]. 3904 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3663(a,1),3903(a,1,2))]. 3905 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(725,a,3904,a)]. 3906 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3672,a,3905,a)]. 3908 a(1 / x,y,z) = a(x \ 1,y,z). [para(683(a,1),3906(a,1,1)),flip(a)]. 3909 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2170(a,1),3793(a,1,1))]. 3910 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(106(a,1),3909(a,1,1,1,2))]. 3911 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(3785(a,1),3910(a,1,2))]. 3912 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3766(a,1),214(a,1))]. 3913 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3912,a,3826,a)]. 3914 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3837(a,1),3913(a,1,1)),flip(a)]. 3915 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3352(a,1),3914(a,1,2,1,2)),flip(a)]. 3916 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3352(a,1),3915(a,1,1)),flip(a)]. 3917 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),3916(a,1,2,2)),flip(a)]. 3918 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),3917(a,1,2)),flip(a)]. 3919 L(x,y \ T(y,z),y) = x. [hyper(663,a,3918,a)]. 3921 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(77,a,3918,a)]. 3922 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,957,a,b,3918,a)]. 3923 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,954,a(flip),b,3918,a)]. 3925 T(x,y) * y = x * ((x * y) / x). [para(3780(a,1),3918(a,1,2)),flip(a)]. 3928 L(x,y \ T(y,z),y) = u / (x \ u). [hyper(198,a,57,a,b,3919,a)]. 3929 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(65,a,3919,a(flip),b,3277,a)]. 3931 L(x,T(y,T(z,y)) \ y,z) = x. [para(3792(a,2),3919(a,1,2))]. 3932 L(x,T(y,z) \ y,(y * z) / y) = x. [para(144(a,1),3931(a,1,2,1,2))]. 3933 T(x,y) * (x \ y) = (x * y) / x. [hyper(981,a,3925,a)]. 3934 (x * (x * y)) / x = T(x,x * y) * y. [hyper(965,a,3925,a),flip(a)]. 3936 T(x,x / (x / y)) = T(x,y). [hyper(18,a,1469,a,b,3925,a),flip(a)]. 3937 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),3925(a,2,2,1))]. 3938 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(16(a,1),3925(a,2,2,1))]. 3939 T(x,x / (1 / y)) = T(x,x * y). [hyper(198,a,1475,a(flip),b,3936,a(flip)),flip(a)]. 3940 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(198,a,1022,a(flip),b,3936,a(flip)),flip(a)]. 3941 (x / y) \ T(x,y) = (x * y) / x. [hyper(65,a,3936,a(flip),b,1008,a)]. 3942 T(x,x / y) = T(x,y \ x). [para(57(a,1),3936(a,1,2,2))]. 3943 T(x,(y \ x) \ x) = T(x,y). [para(125(a,1),3936(a,1,2)),flip(a)]. 3944 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(1324,a,3942,a),flip(a)]. 3945 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1151,a,3942,a)]. 3946 T(x,y \ x) / y = (x * (x / y)) / x. [hyper(66,a,3942,a(flip),b,999,a)]. 3947 T(T(x,y \ x) / y,x) = x / y. [para(3942(a,1),1004(a,1,1,1))]. 3948 T(x,T(y,y \ x)) = T(x,y). [para(107(a,2),3943(a,1,2))]. 3949 T(x / y,T(y,x)) = y \ x. [hyper(150,a,1298,a,b,3933,a)]. 3950 T(x,T(x \ y,y)) = (x \ y) \ y. [hyper(150,a,1301,a(flip),b,3933,a)]. 3951 T(x,T(y,x * y)) = y \ (x * y). [hyper(150,a,1282,a(flip),b,3933,a)]. 3952 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(85(a,1),3933(a,1,2))]. 3953 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3933(a,1),400(a,1,1))]. 3954 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3933(a,1),2997(a,1,1,1))]. 3955 T(x / ((x * y) / x),y) = ((x * y) / x) \ x. [para(144(a,1),3949(a,1,2))]. 3956 T(x \ y,T(x,y)) = T(x \ y,x). [para(3949(a,1),163(a,1,1)),flip(a)]. 3958 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3939(a,1),1335(a,1,1))]. 3959 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),3941(a,1,1)),flip(a)]. 3960 T(x,(1 / y) * x) = T(x,y \ x). [para(60(a,1),3944(a,1,2,1)),flip(a)]. 3961 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(198,a,107,a,b,3950,a)]. 3962 T(x,T(y,x * y)) = T(x,y). [hyper(198,a,32,a,b,3951,a)]. 3963 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3956(a,1),106(a,1,2))]. 3965 L(x,y \ T(y,z),y) != u | u = x. [para(3928(a,2),254(a,1))]. 3966 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(65,a,3932,a(flip),b,3894,a),flip(a)]. 3967 R(x,x \ T(x,y),z) = x. [hyper(673,a,3921,a)]. 3968 R(x,T(y,x) \ y,z) = x. [para(3777(a,2),3967(a,1,2))]. 3969 R(x,K(y,x) \ 1,z) = x. [para(3140(a,1),3968(a,1,2))]. 3970 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(198,a,3869,a(flip),b,3922,a(flip))]. 3971 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(198,a,3448,a(flip),b,3922,a(flip))]. 3973 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(77,a,3923,a)]. 3974 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(71,a,3923,a)]. 3975 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3923(a,1),191(a,1,2)),flip(b)]. 3977 (x \ T(x,y)) \ (x \ z) != u | T(x,y) \ z = u. [para(3929(a,2),986(a,1))]. 3980 (x * (x * y)) / x != z * y | T(x,x * y) = z. [para(3934(a,2),20(a,1))]. 3981 T(T(x,x * y) * y,x) = x * y. [para(3934(a,1),144(a,1,1))]. 3982 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(65,a,3845,a,b,3937,a)]. 3983 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(198,a,3922,a,b,3937,a(flip)),flip(a)]. 3985 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(3937(a,1),28(a,2,1)),flip(a)]. 3987 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3051,a,3973,a)]. 3988 (x \ T(x,y)) * (x * z) != u | T(x,y) * z = u. [para(3973(a,1),208(a,1,1)),flip(b)]. 3989 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3973(a,1),3887(a,1,1)),flip(a)]. 3991 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(198,a,3197,a(flip),b,3987,a(flip)),flip(a)]. 3993 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3779(a,1),3954(a,1,1))]. 3994 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(198,a,3940,a(flip),b,3958,a)]. 3995 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(3994(a,1),162(a,1,2))]. 3996 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3994(a,1),948(a,1,2)),flip(a)]. 3998 (x / y) * (x / (x / y)) = (y \ x) * y. [para(108(a,1),3938(a,1,1)),flip(a)]. 3999 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [hyper(198,a,3832,a,b,3955,a(flip)),flip(a)]. 4000 T(x \ T(x * y,y),x) = R(y,x,y). [para(3959(a,1),685(a,2,1)),flip(a)]. 4001 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3966(a,1),14(a,1,2))]. 4002 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,363,a,b,3996,a),flip(a)]. 4003 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3999(a,1),3893(a,1,2,1))]. 4004 T(x,y / x) \ x = y / (x * (y / x)). [hyper(811,a,4001,a),flip(a)]. 4005 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(198,a,3790,a,b,4001,a(flip)),flip(a)]. 4006 (T(x,y) \ x) * (x * y) = y * x. [para(60(a,1),4001(a,1,2)),flip(a)]. 4007 K(x,y) = T(T(y,x) \ y,y * x). [hyper(150,a,4006,a,b,84,a),flip(a)]. 4008 (x * y) / (y * x) = T(y,x) \ y. [hyper(77,a,4006,a)]. 4010 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),4008(a,1,2)),flip(a)]. 4011 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4008(a,2),2670(a,1,2,1)),flip(a)]. 4012 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(198,a,3885,a(flip),b,4011,a),flip(a)]. 4013 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1776(a,1),4012(a,1,2))]. 4014 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3959(a,1),4002(a,1,1))]. 4015 (x * (y / x)) / y = (x \ y) \ (y / x). [para(108(a,1),4010(a,1,1)),flip(a)]. 4016 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(3804,a,4015,a(flip)),flip(a)]. 4017 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(198,a,3821,a(flip),b,4016,a(flip))]. 4018 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(14(a,1),3975(a,1,2))]. 4019 (x \ T(x,y)) * z != u | T(x,y) * (x \ z) = u. [para(14(a,1),3988(a,1,2))]. 4020 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3989(a,1),301(a,1)),flip(b)]. 4022 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1098,a,3991,a),flip(a)]. 4024 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4017(a,1),3048(a,1,1))]. 4025 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3037,a,4024,a),flip(a)]. 4026 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),4025(a,1,2,2))]. 4027 T(x,(x / y) \ 1) = T(x,x \ y). [para(60(a,1),4025(a,1,2,2)),flip(a)]. 4028 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4025(a,1),147(a,1,2))]. 4030 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4025(a,1),3816(a,1,1)),flip(a)]. 4031 (x / y) \ T(x,x \ y) = x * (y / x). [para(4027(a,1),3851(a,1,2))]. 4032 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(60(a,1),4028(a,1,2,2))]. 4033 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(3352(a,1),4028(a,1,2))]. 4034 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),4031(a,2,2))]. 4035 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4031(a,1),1721(a,1,1,2,1))]. 4036 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(344,a,4026,a),flip(a)]. 4037 x / T(y * x,y \ 1) = (y * x) \ x. [para(4026(a,1),176(a,1,2))]. 4038 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(198,a,3352,a(flip),b,4036,a(flip)),flip(a)]. 4039 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(60(a,1),4036(a,1,2))]. 4040 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [hyper(77,a,4033,a)]. 4041 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),4034(a,1,2,2))]. 4042 ((((x / y) \ 1) * x) \ x) \ x = ((x / y) \ 1) * (y * (x / y)). [hyper(198,a,1778,a(flip),b,4038,a(flip))]. 4043 (((1 / x) * (x * y)) \ (x * y)) \ (x * y) = (1 / x) * (y * x). [hyper(198,a,818,a(flip),b,4039,a(flip))]. 4044 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(4020,a,3993,a),flip(a)]. 4045 R(K(x,y),x,z) = K(x,y). [hyper(4020,a,3989,a(flip)),flip(a)]. 4046 R(K(x,y),x,z) != u | K(x,y) = u. [para(3989(a,2),4020(a,1))]. 4047 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4045(a,1),102(a,1,1)),flip(a)]. 4048 L(x,y,K(y,z)) = x. [hyper(390,a,4047,a)]. 4050 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3102(a,1),4047(a,1,1))]. 4052 L(x,y,K(y,z)) = 1 * x. [hyper(198,a,11,a,b,4048,a)]. 4054 L(x,y,K(y,z)) != u | u = x. [para(4052(a,2),67(a,1))]. 4055 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4025(a,1),3982(a,1,1))]. 4056 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(2881(a,1),4055(a,2,2))]. 4057 (x * ((y \ x) * y)) / x != x * z | K(((x * y) / x) \ x,y) = z. [para(4003(a,1),19(a,1))]. 4058 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(198,a,3776,a(flip),b,4022,a(flip)),flip(a)]. 4059 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4022(a,1),3797(a,1,1)),flip(a)]. 4060 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(198,a,4030,a(flip),b,4058,a(flip)),flip(a)]. 4061 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(198,a,1080,a,b,4060,a),flip(a)]. 4062 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(198,a,867,a(flip),b,4060,a)]. 4064 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4060(a,2),28(a,2,1)),flip(a)]. 4067 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4061(a,2),2972(a,1,1))]. 4068 T(x,y) \ x = y \ T(y,x). [para(3352(a,1),4062(a,1,1))]. 4069 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(198,a,3776,a(flip),b,4068,a)]. 4070 T(x,y) * (y \ T(y,x)) = x. [para(4068(a,1),14(a,1,2))]. 4071 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(4068(a,2),3041(a,1))]. 4072 (x * y) / x = y * (T(y,x) \ y). [para(4068(a,2),3772(a,1,2)),flip(a)]. 4073 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4068(a,2),3918(a,1,2,1))]. 4074 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4068(a,2),3922(a,1,1)),flip(a)]. 4075 K(x,y) = T(x \ T(x,y),y * x). [para(4068(a,1),4007(a,2,1))]. 4076 T(x,T(y,x)) = T(x,y). [hyper(3796,a,4070,a)]. 4077 T(x,y) \ x != z | y \ T(y,x) = z. [para(4070(a,1),191(a,1,2)),flip(b)]. 4078 T(x,y) * T(y,x) = x * y. [para(4070(a,1),3808(a,1,1)),flip(a)]. 4079 x * (T(x,y) \ y) = T(y,x). [hyper(1024,a,4076,a)]. 4080 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(524,a,4076,a),flip(a)]. 4081 T(x,x \ y) \ y = T(x \ y,x). [hyper(346,a,4076,a)]. 4082 T(x,y) \ (x * y) = T(y,x). [hyper(345,a,4076,a)]. 4083 R(T(x,x * y),y,x) = T(x,y). [hyper(198,a,3994,a,b,4076,a(flip)),flip(a)]. 4084 (x / T(y,x)) * y = T(x,y). [hyper(198,a,3940,a,b,4076,a(flip)),flip(a)]. 4085 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(198,a,4013,a(flip),b,4076,a(flip))]. 4086 T(x,y) / y = x / T(y,x). [hyper(66,a,4076,a(flip),b,3940,a)]. 4087 T(x,y) / (T(y,x) \ x) = y. [hyper(66,a,4076,a(flip),b,982,a)]. 4088 T(x,y) \ y = x \ T(y,x). [hyper(65,a,4076,a(flip),b,982,a),flip(a)]. 4089 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4076(a,1),38(a,1,1)),flip(a)]. 4090 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(38(a,1),4076(a,1,2))]. 4091 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(4076(a,1),40(a,1,1)),flip(a)]. 4092 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),4076(a,1,2))]. 4093 T(x,y / x) = T(x,x \ y). [para(108(a,1),4076(a,1,2)),flip(a)]. 4094 T(x,(x * y) / x) = T(x,y). [para(144(a,1),4076(a,1,2)),flip(a)]. 4096 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4076(a,1),160(a,1,2,1))]. 4097 (x * y) / T(y,x) = T(x,y). [para(4076(a,1),178(a,1,2))]. 4098 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4076(a,1),161(a,1,2,1))]. 4099 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4076(a,1),162(a,1,2,1))]. 4100 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(631(a,1),4076(a,1,2))]. 4101 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(4076(a,1),333(a,1,2,1))]. 4103 T(x * (T(x,y) \ x),y) = x. [para(4076(a,1),3802(a,1,1,2,1))]. 4104 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4076(a,1),3995(a,1,2)),flip(a)]. 4105 (x / (y * x)) \ T(x,y) = x * y. [para(4076(a,1),4041(a,1,2))]. 4106 K(T(x,y),T(y,x)) = K(x,y). [para(4076(a,1),4044(a,1,1))]. 4107 T(x,y) * (x \ T(y,x)) = y. [hyper(981,a,4078,a)]. 4108 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4078(a,1),24(a,2,1,2)),flip(a)]. 4109 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4078(a,1),24(a,2,2,1)),flip(a)]. 4110 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(4078(a,1),28(a,2,1)),flip(a)]. 4111 T(x,R(y,z,u)) * R(T(y,x),z,u) = x * R(y,z,u). [para(42(a,2),4078(a,1,2))]. 4113 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4078(a,1),102(a,1,2))]. 4115 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(4078(a,1),424(a,2,2))]. 4116 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),4082(a,1,1)),flip(a)]. 4118 T(x / T(y,x),y) = y \ T(x,y). [hyper(150,a,4084,a,b,14,a)]. 4119 T(x,y) = (x * (x * y)) / (y * x). [hyper(198,a,1333,a,b,4084,a(flip))]. 4120 (T(x,y) / y) \ x = T(y,x). [para(4086(a,2),60(a,1,1))]. 4121 T(x * (y / x),x) = x * (y / T(x,y)). [para(4086(a,1),1347(a,2,2))]. 4122 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(38(a,1),4087(a,1,2,1))]. 4123 T(T(x,y),T(x,y) \ y) = (x \ T(y,x)) \ y. [para(4088(a,1),107(a,2,1))]. 4124 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(4088(a,2),85(a,1,2,1))]. 4125 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4088(a,1),82(a,1,1,2,1))]. 4126 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4088(a,2),1339(a,2,1))]. 4127 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4088(a,1),1915(a,1,2,1))]. 4128 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4088(a,1),1824(a,1,2,1))]. 4129 T(x,y / x) = (x \ y) \ y. [hyper(198,a,107,a(flip),b,4093,a)]. 4130 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(198,a,708,a,b,4093,a(flip)),flip(a)]. 4131 (x / y) * T(y,y \ x) = y * (x / y). [para(4093(a,1),106(a,1,2))]. 4132 (x * (y / x)) / T(x,x \ y) = y / x. [para(4093(a,1),124(a,1,2))]. 4135 (x * (y / x)) * x = y * T(x,x \ y). [para(4093(a,1),827(a,2,2))]. 4136 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4093(a,1),839(a,1,2,2))]. 4137 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(4093(a,2),3854(a,1,2,1))]. 4138 T(x,T(y,x / y)) = T(x,y). [para(4093(a,2),3948(a,1,2))]. 4139 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(42(a,2),4097(a,1,2))]. 4140 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4097(a,1),1298(a,1,1)),flip(a)]. 4141 T(x / (x / y),y \ x) = y. [para(3818(a,2),4103(a,1,1))]. 4144 (x * (y / x)) * x = y * ((x \ y) \ y). [para(4129(a,1),827(a,2,2))]. 4145 T(x * y,T(y,x)) = T(x * y,y). [para(15(a,1),4138(a,1,2,2))]. 4147 T(x / (x / (x / y)),y) = x / y. [para(60(a,1),4141(a,1,2))]. 4148 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4141(a,1),106(a,1,2)),flip(a)]. 4149 ((x \ y) * x) / (x \ y) = y / (y / x). [para(4141(a,1),145(a,1,1,2))]. 4151 R(T(x,y),x \ y,x) = T(x,x \ y). [para(14(a,1),4083(a,1,1,2))]. 4152 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(4083(a,1),3554(a,1,1)),flip(a)]. 4153 T((T(x,y) * y) / T(x,y),x) = y. [para(4072(a,2),3802(a,1,1))]. 4154 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4072(a,2),3834(a,1,1))]. 4155 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(198,a,3860,a,b,4075,a),flip(a)]. 4157 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4080(a,1),669(a,1,1))]. 4158 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(198,a,4000,a(flip),b,4081,a)]. 4159 T(x,(1 / x) * y) = T(x,x \ y). [hyper(198,a,2884,a,b,4085,a(flip)),flip(a)]. 4160 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4085(a,1),3886(a,2,1,2))]. 4161 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(40(a,2),4089(a,1,2))]. 4162 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(4076(a,1),4090(a,1,2)),flip(a)]. 4163 T(x,y) / (x * y) = x / (y * x). [para(4105(a,1),57(a,1,2))]. 4164 R(1 / x,x,y) \ T(y,x) = y * x. [para(141(a,2),4105(a,1,1))]. 4165 (x * (y / x)) / x = y / (y / (y / x)). [para(4147(a,1),145(a,1,1,2))]. 4166 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4147(a,1),675(a,1,1))]. 4167 T(x,T(y,x)) != z | T(x,y) = z. [para(4153(a,1),611(a,1,1))]. 4170 x / T(y,(1 / y) * x) = y \ x. [para(4159(a,2),176(a,1,2))]. 4171 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(198,a,141,a,b,4163,a)]. 4172 T(x,x \ y) / y = x / ((x \ y) * x). [para(14(a,1),4163(a,1,2))]. 4173 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(57(a,1),4170(a,1,2,2,1))]. 4175 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(198,a,107,a(flip),b,4151,a)]. 4176 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(598,a,4171,a)]. 4177 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(4171(a,1),1590(a,1,1)),flip(a)]. 4178 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4175(a,1),42(a,2,1))]. 4179 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(57(a,1),4067(a,1,1,1,2)),flip(a)]. 4180 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(198,a,4004,a(flip),b,4069,a(flip)),flip(a)]. 4181 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,1026,a,b,4073,a)]. 4182 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(198,a,4001,a,b,4074,a),flip(a)]. 4183 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4126(a,2),4119(a,2,2)),flip(a)]. 4185 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4086(a,1),4131(a,1,1))]. 4186 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(66,a,4135,a(flip),b,1278,a)]. 4188 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(3845(a,2),4135(a,1,1)),flip(a)]. 4189 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(150,a,4144,a,b,14,a)]. 4191 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(198,a,1412,a,b,4148,a(flip)),flip(a)]. 4193 T(x / (x / y),x) = L(y,y \ x,y). [para(4149(a,1),643(a,1,1))]. 4194 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4193(a,2),40(a,2,1)),flip(a)]. 4196 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4193(a,2),386(a,1,2))]. 4197 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4165(a,1),776(a,1,1))]. 4198 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4025(a,1),4172(a,1,1))]. 4199 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4173(a,1),60(a,1,1)),flip(a)]. 4200 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(108(a,1),4176(a,1,3)),flip(a)]. 4201 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3813,a,4179,a),flip(a)]. 4204 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4191(a,1),16(a,1,1))]. 4205 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3487,a,4201,a)]. 4207 K(x,(x * y) / x) = K(y,x) \ 1. [para(13(a,1),4205(a,1,1,1)),flip(a)]. 4208 K(T(x,y),y) \ 1 = K(y,x). [para(145(a,1),4207(a,1,2)),flip(a)]. 4210 K(T(x,y),y) * K(y,x) = 1. [para(4208(a,1),14(a,1,2))]. 4211 x * K(y,z) != 1 | K(T(z,y),y) = x. [para(4208(a,1),76(a,1,2)),flip(b)]. 4212 R(x,K(x,y),z) = x. [para(4208(a,1),3969(a,1,2))]. 4213 R(T(x,y),K(x,z),u) = T(x,y). [para(4212(a,1),42(a,2,1))]. 4214 (x * K(x,y)) * z = x * (K(x,y) * z). [para(4212(a,1),102(a,1,1)),flip(a)]. 4215 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4212(a,1),429(a,1,1,1)),flip(a)]. 4217 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4210(a,1),191(a,1,2)),flip(b)]. 4218 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4213(a,1),430(a,1,1,1)),flip(a)]. 4220 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(60(a,1),4204(a,1,1,1))]. 4221 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(198,a,4050,a(flip),b,4214,a(flip)),flip(a)]. 4222 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(520,a,4221,a)]. 4223 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(267,a,4221,a),flip(a)]. 4225 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [para(106(a,1),4221(a,1,2)),flip(a)]. 4228 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,431,a,b,4104,a),flip(a)]. 4230 x \ T(y * x,y) = R(y,x,y). [hyper(1020,a,4228,a)]. 4231 L(R(x,y,x),y,x) = x. [para(4228(a,1),1021(a,1,1))]. 4232 x * R(y,x,y) = T(y * x,y). [para(4228(a,1),1019(a,1,2))]. 4233 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4228(a,1),1695(a,1,2)),flip(a)]. 4234 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4076(a,1),4228(a,1,3))]. 4235 (L(x,y,x) * y) * x = x * (y * x). [para(4231(a,1),429(a,1,1)),flip(a)]. 4236 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),4230(a,1,2,1)),flip(a)]. 4237 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4230(a,1),94(a,1,1)),flip(a)]. 4238 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4232(a,1),191(a,1,2)),flip(b)]. 4239 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4232(a,1),2479(a,2,1))]. 4240 T(L(x,y,x) * y,x) = y * x. [hyper(150,a,4235,a,b,xx)]. 4241 (x * (y * x)) / x = L(x,y,x) * y. [hyper(77,a,4235,a)]. 4242 x * T(y,x * y) = L(y,x,y) * x. [hyper(18,a,1279,a,b,4235,a),flip(a)]. 4244 T(x,L(x,y,x) * y) = T(x,y * x). [para(4240(a,1),4076(a,1,2)),flip(a)]. 4246 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(65,a,4241,a,b,xx)]. 4247 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4241(a,2),842(a,1))]. 4248 T(x,y * x) = T(x,x * y). [hyper(17,a,634,a,b,4242,a)]. 4249 T(x,(x \ y) * x) = T(x,y). [hyper(17,a,638,a(flip),b,4242,a)]. 4251 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(198,a,42,a,b,4248,a(flip)),flip(a)]. 4252 T(x,x * (1 / y)) = T(x,y \ x). [hyper(198,a,3960,a(flip),b,4248,a(flip))]. 4253 T(x,x * (y / x)) = T(x,y). [para(16(a,1),4248(a,1,2)),flip(a)]. 4254 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4248(a,1),38(a,1,1))]. 4255 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4248(a,2),38(a,1,1))]. 4256 T(x,T(y,y * x)) = T(x,y). [para(4248(a,1),3962(a,1,2))]. 4257 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4249(a,1),38(a,1,1)),flip(a)]. 4259 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4249(a,1),215(a,1,2))]. 4260 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4249(a,1),4084(a,1,1,2))]. 4261 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(4253(a,1),4084(a,1,1,2))]. 4262 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4253(a,1),4107(a,1,1))]. 4263 T(x,L(y,x,y)) = T(x,y). [hyper(198,a,4100,a(flip),b,4256,a(flip)),flip(a)]. 4264 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(4256(a,1),334(a,1,2,1))]. 4265 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(4256(a,1),335(a,1,2,1))]. 4266 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4263(a,1),106(a,1,2))]. 4267 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(198,a,4248,a(flip),b,4244,a)]. 4268 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(638(a,1),4244(a,1,2))]. 4269 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4267(a,1),1312(a,1,1))]. 4270 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(375,a,4254,a),flip(a)]. 4271 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4255(a,1),375(a,1))]. 4272 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4266(a,1),20(a,1)),flip(a)]. 4273 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4270(a,2),375(a,1))]. 4274 T(x,y) * T(T(y,x),x) = y * x. [hyper(198,a,4078,a(flip),b,4096,a)]. 4275 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(65,a,4078,a(flip),b,4096,a)]. 4276 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(38(a,1),4096(a,1,2))]. 4278 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),4275(a,1,1))]. 4279 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4076(a,1),4122(a,1,2,1))]. 4280 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(198,a,4090,a(flip),b,4162,a)]. 4281 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(198,a,1206,a(flip),b,4181,a),flip(a)]. 4282 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(198,a,1248,a,b,4182,a(flip)),flip(a)]. 4284 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(198,a,4121,a(flip),b,4189,a(flip))]. 4286 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(4200(a,1),319(a,1,1))]. 4287 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(198,a,4249,a(flip),b,4268,a)]. 4288 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4287(a,1),1309(a,1,1))]. 4289 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4276(a,1),667(a,1,2)),flip(a)]. 4293 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4257(a,2),4178(a,1,1))]. 4295 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4286(a,1),699(a,1,2))]. 4296 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(198,a,3799,a(flip),b,4059,a)]. 4297 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4167,a,4296,a),flip(a)]. 4298 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4167,a,4297,a),flip(a)]. 4299 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4297(a,1),4167(a,1))]. 4301 T(x,(y / z) \ 1) = T(x,z / y). [para(60(a,1),4298(a,1,2,1)),flip(a)]. 4306 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4301(a,1),3889(a,1,1,2))]. 4308 T(x,y / z) != u | T(x,(z / y) \ 1) = u. [para(60(a,1),4299(a,1,2,1))]. 4309 T(x,y) != z | T(x,((y \ u) / u) \ 1) = z. [para(57(a,1),4308(a,1,2))]. 4310 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(628(a,1),4098(a,1,2))]. 4311 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(198,a,4266,a(flip),b,4310,a)]. 4313 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4248(a,2),4311(a,1,2))]. 4314 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(198,a,640,a,b,4313,a(flip)),flip(a)]. 4316 L(x,T(y,x),x) = L(x,y,x). [hyper(4272,a,4314,a),flip(a)]. 4317 (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(4099(a,1),154(a,1,1,2))]. 4318 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4083(a,1),4099(a,1,2)),flip(a)]. 4319 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4130(a,1),4099(a,1,2)),flip(a)]. 4320 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4151(a,1),4099(a,1,2)),flip(a)]. 4321 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4085(a,1),4155(a,1,2,2,1))]. 4322 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4321(a,1),14(a,1,2)),flip(a)]. 4324 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3859,a,4322,a)]. 4325 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(198,a,3876,a,b,4324,a(flip)),flip(a)]. 4326 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(198,a,3500,a(flip),b,4325,a)]. 4327 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(198,a,3522,a,b,4326,a(flip)),flip(a)]. 4328 K((x \ 1) * y,x) = K(x \ y,x). [para(13(a,1),4326(a,1,1,2)),flip(a)]. 4329 K((1 / x) * y,x) = K(x \ y,x). [para(13(a,1),4327(a,1,1,2)),flip(a)]. 4330 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(32(a,2),4329(a,2,1))]. 4331 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(815(a,1),4330(a,1,1))]. 4332 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(198,a,3523,a(flip),b,4331,a(flip)),flip(a)]. 4333 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4332(a,1),4208(a,1,1))]. 4334 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4217,a,4333,a),flip(a)]. 4335 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(198,a,3402,a(flip),b,4334,a(flip))]. 4336 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(14(a,1),4334(a,1,2)),flip(a)]. 4337 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2863(a,2),4334(a,1,2,1)),flip(a)]. 4338 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [para(4198(a,2),60(a,1,1))]. 4339 (x * (y / x)) * (y / (y / x)) = y * x. [para(60(a,1),4220(a,2,2))]. 4340 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(15(a,1),4339(a,1,1,2))]. 4341 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(18,a,1339,a(flip),b,4260,a)]. 4342 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4341(a,1),16(a,1,1))]. 4344 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1342(a,1),4262(a,1,2))]. 4345 T(x,y) * z != x * (y / x) | T(y,x) / x = z. [para(4344(a,1),19(a,1)),flip(a)]. 4346 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4086(a,1),4344(a,1,2))]. 4347 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4346(a,1),19(a,1)),flip(a)]. 4348 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(3352(a,1),4338(a,1,1,1))]. 4349 (x * y) * ((y * x) / y) = (y * x) * x. [para(15(a,1),4340(a,1,2,2))]. 4350 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(484,a,4349,a)]. 4351 ((x \ y) * x) * x = y * (y / (y / x)). [para(4149(a,1),4350(a,1,2)),flip(a)]. 4352 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4088(a,1),4351(a,1,1,1))]. 4353 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1322(a,1),4139(a,1,2,1))]. 4354 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(198,a,4233,a(flip),b,4318,a)]. 4355 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4354(a,1),4237(a,1,2))]. 4356 R(x,y / x,x) = R(x,x \ y,x). [hyper(18,a,4319,a,b,4320,a),flip(a)]. 4358 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(198,a,3853,a(flip),b,4356,a(flip))]. 4359 R(x,(x * y) / x,x) = R(x,y,x). [para(13(a,1),4356(a,2,2))]. 4360 R(x,T(y,x),x) = R(x,y,x). [para(145(a,1),4359(a,1,2)),flip(a)]. 4361 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(198,a,4234,a,b,4360,a(flip)),flip(a)]. 4362 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4361(a,1),46(a,1,1)),flip(a)]. 4364 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(4025(a,1),4188(a,1,2)),flip(a)]. 4365 L(x,K(y,z),L(y,u,w)) = x. [hyper(390,a,4215,a)]. 4366 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3107(a,1),4215(a,1,1))]. 4368 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(198,a,1217,a(flip),b,4281,a(flip))]. 4369 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4362(a,1),4113(a,1,1)),flip(a)]. 4370 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(198,a,608,a(flip),b,4166,a)]. 4371 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4165(a,2),4370(a,1,2))]. 4372 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4293(a,1),562(a,1,2))]. 4373 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),4306(a,1,1,2,2))]. 4374 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(198,a,3005,a(flip),b,4373,a(flip))]. 4376 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4374(a,1),3789(a,1,1))]. 4377 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3801,a,4376,a)]. 4378 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(62(a,1),4376(a,1,2))]. 4381 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(107(a,1),4378(a,1,1,2))]. 4382 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4381(a,1),57(a,1,2))]. 4383 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(198,a,4016,a,b,4382,a),flip(a)]. 4384 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(145(a,1),4377(a,1,3)),flip(a)]. 4385 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(526,a,4384,a)]. 4386 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(2904,a,4385,a)]. 4387 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4364(a,1),4358(a,2,1))]. 4388 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3922(a,1),3970(a,2,2))]. 4389 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2821(a,1),3971(a,1,2))]. 4390 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(198,a,3404,a(flip),b,4389,a(flip))]. 4391 (L(x,y,1 / y) \ (y * x)) \ (y * x) = (1 / y) * (x * y). [para(171(a,1),4043(a,1,1,1))]. 4392 T(L(x,y,1 / y),(y * x) / L(x,y,1 / y)) = (1 / y) * (x * y). [hyper(198,a,4129,a,b,4391,a(flip)),flip(a)]. 4393 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(4140(a,2),4101(a,1))]. 4394 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(198,a,3983,a(flip),b,4160,a)]. 4395 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(198,a,2472,a(flip),b,4186,a(flip))]. 4396 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4342(a,1),4352(a,1,1))]. 4397 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4259,a,4396,a),flip(a)]. 4398 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(17,a,4196,a,b,4397,a)]. 4399 T(x / (x / y),x) \ x = x / T(y,x). [para(4398(a,1),60(a,1,1))]. 4400 x / T(y \ x,x) = T(x / y,x) \ x. [para(57(a,1),4399(a,1,1,1,2)),flip(a)]. 4401 L(x,x \ y,x) \ y = y / T(x,y). [para(4193(a,1),4399(a,1,1))]. 4402 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(107(a,2),4372(a,1,2,1))]. 4403 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(198,a,4261,a(flip),b,4395,a(flip))]. 4404 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(198,a,1347,a(flip),b,4403,a)]. 4405 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(17,a,4185,a,b,4404,a),flip(a)]. 4406 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(4405(a,1),176(a,1,2))]. 4407 T(x,T(x,y) \ y) = T(x,x \ y). [para(4088(a,2),4405(a,1,2))]. 4408 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(13(a,1),4406(a,1,2,2))]. 4409 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(13(a,1),4402(a,1,1,1))]. 4410 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4374(a,1),4005(a,1,1))]. 4411 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4018,a,4410,a),flip(a)]. 4412 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3975,a,4410,a),flip(a)]. 4413 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(198,a,4074,a,b,4410,a)]. 4415 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4410(a,1),4018(a,1))]. 4417 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(198,a,4074,a,b,4411,a(flip)),flip(a)]. 4418 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(198,a,4368,a(flip),b,4411,a(flip))]. 4419 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(198,a,4181,a(flip),b,4411,a(flip)),flip(a)]. 4420 x \ (y * (T(y,x) \ z)) = ((y * x) / y) \ z. [hyper(65,a,4411,a(flip),b,4001,a)]. 4422 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(65,a,14,a(flip),b,4412,a)]. 4423 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(198,a,4074,a,b,4412,a(flip)),flip(a)]. 4424 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(65,a,4412,a(flip),b,4001,a),flip(a)]. 4425 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4412(a,1),4073(a,1,2)),flip(a)]. 4426 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(65,a,4376,a(flip),b,4413,a(flip)),flip(a)]. 4427 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(4423(a,2),486(a,1))]. 4428 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(198,a,92,a,b,4425,a)]. 4429 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(4425(a,1),4110(a,1,2))]. 4430 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [hyper(893,a,4419,a)]. 4431 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4419(a,1),893(a,1))]. 4432 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(198,a,961,a(flip),b,4426,a)]. 4433 x * (T(x,y) \ z) != u | ((y * x) / y) * (x \ z) = u. [para(4432(a,1),1254(a,1))]. 4434 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(331,a,4428,a),flip(a)]. 4435 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(400,a,4429,a),flip(a)]. 4436 L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. [para(4429(a,1),400(a,1))]. 4437 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(108(a,1),4435(a,1,2))]. 4438 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(4093(a,1),4437(a,1,3))]. 4439 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4425(a,1),4109(a,1,1))]. 4440 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(620,a,4439,a),flip(a)]. 4441 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4439(a,1),620(a,1))]. 4442 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(198,a,430,a(flip),b,4369,a)]. 4443 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1122(a,1),4442(a,1,1))]. 4444 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(198,a,4233,a(flip),b,4443,a(flip))]. 4445 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4444(a,1),191(a,1,2))]. 4446 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(198,a,4231,a(flip),b,4014,a)]. 4448 T(x,x \ T(x * y,y)) = T(x,y). [para(4446(a,1),3961(a,1,2)),flip(a)]. 4449 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4448(a,1),4158(a,1,1))]. 4450 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(32(a,1),4449(a,1,1))]. 4451 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4079(a,1),4183(a,1,1,2))]. 4452 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(106(a,1),4451(a,1,1))]. 4453 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(198,a,4407,a(flip),b,4452,a)]. 4454 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(4278(a,2),375(a,1))]. 4455 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4280(a,1),4279(a,1,1))]. 4456 T(x,T(y,T(x,z))) = T(x,y). [hyper(198,a,4122,a(flip),b,4455,a(flip))]. 4458 T(x,T(y,z)) * T(y,x) = y * T(x,T(y,z)). [para(4456(a,1),106(a,1,2))]. 4460 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(166(a,1),4456(a,1,2,2))]. 4463 (x \ T(y,x)) \ (x \ (y * T(x,T(y,z)))) = T(T(x,T(y,z)),x \ T(y,x)). [para(4458(a,1),978(a,1,2,2))]. 4464 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4460(a,1),4194(a,1,1))]. 4465 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(198,a,2903,a,b,4386,a(flip))]. 4466 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3135(a,1),4390(a,1,1)),flip(a)]. 4467 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4466(a,1),3393(a,1,2))]. 4468 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4467(a,1),219(a,1,1)),flip(a)]. 4469 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(13(a,1),4409(a,1,2,1,2)),flip(a)]. 4470 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(13(a,1),4469(a,1,1,2)),flip(a)]. 4471 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(4470(a,1),411(a,2,2))]. 4472 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(198,a,4422,a(flip),b,4064,a(flip)),flip(a)]. 4473 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4445,a,4355,a)]. 4474 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(198,a,4388,a(flip),b,4472,a(flip)),flip(a)]. 4475 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4423(a,1),4474(a,1,2)),flip(a)]. 4476 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(198,a,168,a(flip),b,4475,a)]. 4478 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(198,a,3680,a(flip),b,4476,a(flip))]. 4480 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4478(a,1),3478(a,2,2))]. 4481 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3953,a,4424,a),flip(a)]. 4482 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(665,a,4481,a),flip(a)]. 4483 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(60(a,1),4371(a,2,1,2))]. 4484 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1059,a,4239,a),flip(a)]. 4485 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2606(a,1),4484(a,1,1)),flip(a)]. 4486 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(66,a,4485,a(flip),b,1052,a)]. 4488 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2608(a,1),4486(a,1,1))]. 4489 T(x,R(x * K(y,x),z,u)) = x. [hyper(255,a,4353,a)]. 4491 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(198,a,4468,a(flip),b,4480,a)]. 4492 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3895,a,4491,a)]. 4494 T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). [para(145(a,1),4491(a,1,1,2,2))]. 4495 ((x \ 1) \ 1) * ((x \ 1) * T(y,z)) = T(x * ((1 / x) * y),z). [para(2873(a,1),4494(a,1,1)),flip(a)]. 4496 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(198,a,78,a(flip),b,4492,a)]. 4498 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4496(a,1),2899(a,1,2))]. 4499 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4498(a,1),3897(a,1,2)),flip(a)]. 4501 T(x * ((1 / x) * y),z) = x * ((1 / x) * T(y,z)). [hyper(198,a,2873,a(flip),b,4495,a(flip))]. 4503 T(x * ((1 / x) * y),y * (z \ 1)) = x * ((1 / x) * T(y,z \ y)). [para(1749(a,1),4501(a,2,2,2))]. 4504 T(x * ((1 / x) * y),y * (z \ 1)) = T(x * ((1 / x) * y),z \ y). [hyper(198,a,4501,a,b,4503,a)]. 4505 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(198,a,2772,a(flip),b,4499,a)]. 4509 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4505(a,1,3))]. 4512 R(x,y,K(z \ 1,z)) = x. [hyper(198,a,3749,a(flip),b,4509,a(flip)),flip(a)]. 4517 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(3744,a,4512,a),flip(a)]. 4518 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(3675,a,4512,a),flip(a)]. 4520 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(198,a,3728,a(flip),b,4512,a(flip)),flip(a)]. 4521 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(198,a,3436,a(flip),b,4512,a(flip))]. 4522 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(198,a,2774,a(flip),b,4512,a(flip))]. 4523 R(x,y,K(z,1 / z)) = x. [para(60(a,1),4512(a,1,3,1))]. 4524 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4512(a,1),102(a,1,1)),flip(a)]. 4525 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4512(a,1),342(a,1,1)),flip(a)]. 4526 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4512(a,1),419(a,1,1))]. 4528 R(x,y,K(z,z \ 1)) = x. [para(1977(a,1),4512(a,1,3))]. 4529 R(x,y,K(1 / z,z)) = x. [para(2016(a,2),4512(a,1,3))]. 4530 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4512(a,1),2623(a,1,1))]. 4531 R(x,y,z * (1 / z)) = x. [para(170(a,1),4523(a,1,3))]. 4532 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4523(a,1),102(a,1,1)),flip(a)]. 4536 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(198,a,3641,a(flip),b,4528,a(flip))]. 4537 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(198,a,3433,a(flip),b,4528,a(flip)),flip(a)]. 4538 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4528(a,1),102(a,1,1)),flip(a)]. 4539 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4528(a,1),342(a,1,1)),flip(a)]. 4540 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4528(a,1),419(a,1,1))]. 4541 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4528(a,1),2615(a,1,1))]. 4542 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4529(a,1),102(a,1,1)),flip(a)]. 4543 (x * (y * (1 / y))) / z = x / (z / (y * (1 / y))). [hyper(198,a,443,a(flip),b,4531,a(flip)),flip(a)]. 4544 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2292(a,1),4518(a,1,2))]. 4547 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2697(a,1),4518(a,1,2)),flip(a)]. 4548 T(x,K(y,y \ 1) * z) = T(x,z). [para(2755(a,1),4518(a,1,2)),flip(a)]. 4549 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2841(a,1),4518(a,1,2))]. 4550 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2865(a,1),4518(a,1,2)),flip(a)]. 4551 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2875(a,1),4518(a,1,2))]. 4552 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3011(a,1),4518(a,1,2)),flip(a)]. 4554 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4521(a,1),102(a,1,1))]. 4555 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(198,a,3573,a(flip),b,4536,a)]. 4557 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2225(a,1),4536(a,1,2))]. 4558 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2713(a,1),4536(a,1,2)),flip(a)]. 4559 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2809(a,1),4536(a,1,2))]. 4564 T(K(x,x \ 1) * y,T(z,y)) = T(K(x,x \ 1) * y,z). [para(4548(a,1),4076(a,1,2))]. 4565 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4517(a,1),4418(a,1,2,1))]. 4566 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(198,a,612,a(flip),b,4549,a(flip))]. 4567 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2863(a,2),4549(a,1,2,1))]. 4568 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3009(a,1),4550(a,2,2))]. 4569 K((x \ 1) * y,x \ y) = 1. [hyper(36,a,4566,a)]. 4570 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2607,a,4525,a)]. 4572 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4539(a,1),2568(a,1,1))]. 4574 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [hyper(198,a,3644,a(flip),b,4520,a)]. 4575 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2597(a,2),4520(a,1,2))]. 4576 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4574(a,1),3573(a,1,2,1)),flip(a)]. 4578 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2758(a,1),4522(a,2,2))]. 4579 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2940,a,4524,a)]. 4580 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2607,a,4524,a)]. 4581 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(390,a,4524,a)]. 4585 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4524(a,1),3665(a,1,1))]. 4586 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4524(a,1),3685(a,1,1))]. 4587 K(L(x,y,z) \ 1,x) = (x \ 1) * x. [hyper(198,a,167,a(flip),b,4579,a)]. 4588 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(198,a,1187,a,b,4579,a(flip)),flip(a)]. 4592 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2551(a,1),4581(a,1,1))]. 4594 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(683(a,1),4526(a,1,2)),flip(a)]. 4595 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [para(1376(a,1),4526(a,1,2)),flip(a)]. 4597 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3707(a,1),4594(a,1,2))]. 4598 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4594(a,1),4518(a,1,2)),flip(a)]. 4599 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(4598(a,1),176(a,1,2))]. 4600 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(2773,a,4595,a)]. 4601 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4595(a,1),2719(a,1,1)),flip(a)]. 4602 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(4600(a,1),3638(a,1,1)),flip(a)]. 4603 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(3742,a,4530,a)]. 4604 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(18,a,3694,a(flip),b,4532,a)]. 4605 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(198,a,2595,a,b,4532,a(flip)),flip(a)]. 4606 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3603,a,4538,a)]. 4608 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(390,a,4538,a)]. 4610 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(198,a,2531,a,b,4608,a(flip)),flip(a)]. 4613 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(65,a,4606,a(flip),b,1975,a(flip))]. 4615 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(65,a,4613,a(flip),b,1990,a(flip)),flip(a)]. 4617 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [para(1982(a,1),4540(a,1,2)),flip(a)]. 4618 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4617(a,1),3638(a,1,1)),flip(a)]. 4620 (x * y) * z != x * (y * K(1 / u,u)) | K(1 / u,u) = z. [para(4542(a,1),19(a,1)),flip(a)]. 4621 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(198,a,2620,a,b,4580,a)]. 4622 (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4580(a,1),409(a,1,1))]. 4624 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2910(a,1),4603(a,1,1)),flip(a)]. 4625 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4603(a,2),4518(a,1,2))]. 4626 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(2612(a,1),4625(a,1,2,1))]. 4627 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2844(a,1),4625(a,1,2,1)),flip(a)]. 4628 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2770,a,4621,a)]. 4633 (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w. [para(4621(a,2),400(a,1,2,2))]. 4634 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4621(a,1),4530(a,1,2))]. 4636 T(x,((y \ 1) * y) \ z) = T(x,z). [para(110(a,1),4626(a,1,2)),flip(a)]. 4637 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2707(a,1),4628(a,1,2,2))]. 4638 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2721(a,1),4628(a,1,2,2))]. 4639 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2761(a,1),4628(a,1,2,2))]. 4640 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2911(a,1),4628(a,1,2,2))]. 4642 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4639(a,2),24(a,2,2,1)),flip(a)]. 4644 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4639(a,1),4541(a,1,2))]. 4645 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4639(a,1),4603(a,1,1))]. 4646 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4592(a,1),286(a,1)),flip(b)]. 4647 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4592(a,2),4646(a,1))]. 4648 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(198,a,3731,a,b,4564,a(flip)),flip(a)]. 4649 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4431,a,4565,a)]. 4650 T(x * (y / x),z) = x * (T(y,z) / x). [para(4649(a,1),14(a,1,2)),flip(a)]. 4651 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4649(a,1,2,1,2)),flip(a)]. 4652 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(57(a,1),4649(a,1,2,1,2))]. 4653 T((x \ y) * x,z) / x = x \ T(y,z). [para(56(a,1),4649(a,1,2,1)),flip(a)]. 4655 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(4649(a,1),148(a,1,2,2))]. 4659 x * (T(y * x,z) / x) = T(x * y,z). [para(15(a,1),4650(a,1,1,2)),flip(a)]. 4660 T(x * (y / x),y) = x * (y / x). [para(105(a,1),4650(a,2,2,1))]. 4662 x \ T(x * (y / x),z) != u | T(y,z) / x = u. [para(4650(a,2),191(a,1,2)),flip(b)]. 4664 x \ T(x * (y / x),z) != u * w | (T(y,z) / x) / w = u. [para(4650(a,2),507(a,1,2))]. 4666 T(x * (y / x),K(y,z)) = x * (y / x). [para(3100(a,1),4650(a,2,2,1))]. 4667 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4093(a,1),4650(a,2,2,1))]. 4668 T(x,y * (x / y)) = x. [hyper(35,a,4660,a)]. 4669 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4660(a,2),4383(a,1,1))]. 4670 T(x,(y \ x) * y) = x. [para(57(a,1),4668(a,1,2,2))]. 4671 T((x \ y) * x,y) = (x \ y) * x. [para(56(a,1),4668(a,1,2))]. 4672 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4670(a,1),3952(a,1,1)),flip(a)]. 4673 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(898,a,4651,a),flip(a)]. 4674 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(878,a,4651,a)]. 4675 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(198,a,809,a,b,4651,a),flip(a)]. 4676 (x \ T(x * y,z)) * x = T(y * x,z). [para(4651(a,1),16(a,1,1))]. 4677 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4651(a,1),108(a,1,1))]. 4679 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(84(a,1),4651(a,2,2,1))]. 4680 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4651(a,1),3867(a,1,2))]. 4681 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(4653(a,1),16(a,1,1)),flip(a)]. 4682 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4653(a,1),108(a,1,1)),flip(a)]. 4686 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4659(a,1),4253(a,1,2)),flip(a)]. 4687 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4666,a)]. 4688 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4687(a,1,2,2))]. 4692 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4681(a,2),20(a,1))]. 4694 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(108(a,1),4681(a,2,1,2))]. 4695 T((x \ y) * x,z) / x != u | x \ T(y,z) = u. [para(4681(a,2),255(a,1,1)),flip(b)]. 4696 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4681(a,2),86(a,1,1))]. 4697 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4681(a,2),3911(a,1,1,1,2))]. 4698 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4688(a,1),215(a,1,2))]. 4699 (x * (1 / x)) * y = y * (x * (1 / x)). [para(132(a,1),4655(a,1,2,2,1)),flip(a)]. 4700 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(108(a,1),4655(a,1,2,2,1)),flip(a)]. 4701 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(144(a,1),4655(a,1,2,2,1)),flip(a)]. 4702 x / (y * (1 / y)) = (y * (1 / y)) \ x. [hyper(265,a,4699,a)]. 4703 (x * (y * (1 / y))) / z = x / ((y * (1 / y)) \ z). [para(4702(a,1),4543(a,2,2))]. 4704 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3871(a,1),4669(a,1,1,1)),flip(a)]. 4705 K(((x * y) / x) \ x,y) = K(y \ x,y). [hyper(4057,a,4672,a)]. 4706 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(4154(a,1),4705(a,1,1))]. 4707 K(x \ T(y,x),x) = K(x \ y,x). [para(145(a,1),4706(a,1,1,2)),flip(a)]. 4708 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(198,a,4124,a,b,4707,a(flip)),flip(a)]. 4711 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(4694(a,1),106(a,1,2)),flip(a)]. 4712 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4694(a,1),145(a,1,1,2))]. 4713 (T(x,y) \ y) * x != z * K(x \ y,x) | T(y,x) = z. [para(4708(a,1),76(a,1,2)),flip(a),flip(b)]. 4714 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(57(a,1),4662(a,1,2,1,2))]. 4715 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(198,a,995,a(flip),b,4652,a)]. 4716 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(198,a,4650,a,b,4667,a)]. 4717 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [para(4674(a,1),1267(a,1,1)),flip(a)]. 4718 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1509(a,1),4675(a,2,1,1))]. 4719 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(4675(a,2),4695(a,1))]. 4720 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3912,a,4700,a),flip(a)]. 4721 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(140(a,2),4700(a,2,2,2,1))]. 4722 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(198,a,3767,a,b,4711,a(flip)),flip(a)]. 4723 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(57(a,1),4711(a,1,1,1,2)),flip(a)]. 4724 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(141(a,2),4711(a,1,1,1,2))]. 4725 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(13(a,1),4712(a,1,1,2,1,2))]. 4726 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4712(a,1),208(a,1,1)),flip(b)]. 4727 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(4308,a,4716,a)]. 4728 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4247,a,4725,a),flip(a)]. 4729 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(2919(a,1),4568(a,1,2))]. 4730 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1982(a,1),4578(a,1,1)),flip(a)]. 4732 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4588(a,1),14(a,1,2))]. 4733 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4602(a,1),2879(a,1,2))]. 4734 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4602(a,1),2914(a,1,1))]. 4736 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(198,a,3395,a(flip),b,4618,a(flip)),flip(a)]. 4737 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4736(a,1),3891(a,1,1))]. 4738 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4737(a,1),19(a,1))]. 4739 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2769,a,4624,a)]. 4740 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(4637(a,1),4548(a,1,2))]. 4741 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(198,a,1162,a,b,4680,a(flip)),flip(a)]. 4742 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4732(a,1),2719(a,1,1))]. 4743 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4554(a,1),20(a,1))]. 4746 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) != u * w | (T(y,x) / z) / w = u. [para(4430(a,1),4664(a,1))]. 4747 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3757(a,2),4555(a,1,2))]. 4748 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(66,a,4585,a(flip),b,102,a)]. 4749 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3705,a,4586,a),flip(a)]. 4750 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(18,a,2875,a,b,4597,a)]. 4751 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(198,a,3416,a(flip),b,4750,a)]. 4753 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),4634(a,2,1))]. 4754 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. [para(4634(a,1),2659(a,1))]. 4755 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(620,a,4644,a),flip(a)]. 4756 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(198,a,4541,a(flip),b,4648,a(flip)),flip(a)]. 4757 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(198,a,4723,a(flip),b,4733,a(flip)),flip(a)]. 4758 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(198,a,4737,a(flip),b,4757,a(flip))]. 4759 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4726,a,4741,a)]. 4761 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3644(a,1),4747(a,1,2,1))]. 4762 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(4082(a,1),4756(a,1,1)),flip(a)]. 4763 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(198,a,2583,a,b,4762,a)]. 4765 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(2844(a,1),4762(a,1,1)),flip(a)]. 4768 T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. [para(4763(a,2),19(a,1))]. 4769 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2583(a,1),4763(a,1,1))]. 4771 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(4765(a,1),4536(a,1,2)),flip(a)]. 4772 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(60(a,1),4771(a,1,2,1,1,1)),flip(a)]. 4773 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4394(a,1),4704(a,1,2)),flip(a)]. 4774 ((x \ y) * x) / y = y / (x * (y / x)). [para(4671(a,1),4773(a,1,1))]. 4775 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(198,a,4180,a(flip),b,4774,a)]. 4776 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(198,a,4758,a,b,4775,a(flip)),flip(a)]. 4777 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4776(a,1),4734(a,2,2))]. 4778 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3713(a,1),4576(a,1,2,1)),flip(a)]. 4779 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(198,a,4761,a(flip),b,4778,a(flip))]. 4781 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(167(a,2),4717(a,2,1,2,1,2))]. 4782 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(198,a,4700,a(flip),b,4721,a(flip))]. 4783 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3761(a,2),4724(a,1,1))]. 4784 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(214,a,4783,a),flip(a)]. 4785 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(4633,a,4753,a)]. 4786 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(198,a,2597,a,b,4785,a)]. 4787 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [para(2597(a,1),4785(a,1,1))]. 4790 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2772(a,1),4786(a,1,1)),flip(a)]. 4792 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2775,a,4790,a),flip(a)]. 4793 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2770,a,4790,a),flip(a)]. 4794 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(198,a,3243,a(flip),b,4790,a(flip)),flip(a)]. 4796 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(15(a,1),4794(a,1,1,2,1,2))]. 4797 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4794(a,1),56(a,1,2,1)),flip(a)]. 4798 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(56(a,1),4794(a,1,1,2,1)),flip(a)]. 4799 L(x * y,z,u) != w * y | y \ L(y * x,z,u) = w. [para(4796(a,1),20(a,1))]. 4800 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4797(a,2),4782(a,1,2))]. 4801 L((x \ 1) * x,y,z) = (x \ 1) * x. [para(288(a,1),4798(a,2,1,2))]. 4802 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4798(a,1),92(a,1,2))]. 4803 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(405(a,1),4798(a,2,1,2))]. 4804 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(406(a,1),4798(a,2,1,2))]. 4805 L(K(L(x,y,z) \ 1,x),u,w) = (x \ 1) * x. [para(4587(a,2),4801(a,1,1))]. 4806 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(2030(a,1),4792(a,1,1)),flip(a)]. 4808 L(x,y,z) * K(x,x \ 1) = L((x \ 1) \ 1,y,z). [para(2567(a,1),4792(a,1,1)),flip(a)]. 4809 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4792(a,2),4540(a,1,2))]. 4810 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4806(a,1),3719(a,1,1)),flip(a)]. 4811 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4806(a,1),3720(a,1,1))]. 4812 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(65,a,4808,a(flip),b,1989,a(flip))]. 4813 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [para(1972(a,2),4808(a,1,2))]. 4814 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(198,a,1398,a,b,4812,a(flip)),flip(a)]. 4815 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(4813(a,1),4605(a,2,2))]. 4816 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2174,a,4814,a)]. 4817 L(x,y,z) / x = x \ L(x,y,z). [hyper(77,a,4816,a)]. 4818 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(71,a,4816,a)]. 4819 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [hyper(18,a,1540,a,b,4816,a)]. 4821 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(198,a,929,a,b,4817,a(flip)),flip(a)]. 4823 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(4818(a,1),364(a,1,2,1)),flip(a)]. 4824 T(1 / x,L(x,y,z)) = x \ 1. [hyper(150,a,4821,a,b,1040,a)]. 4826 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(4824(a,1),3511(a,1,2)),flip(a)]. 4828 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [hyper(198,a,28,a(flip),b,4793,a(flip)),flip(a)]. 4829 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(2574(a,1),4793(a,1,1)),flip(a)]. 4830 T(x,L(T(y,y \ 1),z,u)) = T(x,L(y,z,u)). [para(4829(a,1),4548(a,1,2))]. 4831 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(198,a,1193,a(flip),b,4810,a(flip)),flip(a)]. 4832 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(65,a,4823,a(flip),b,957,a)]. 4834 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(196(a,1),4802(a,1,2,1,2))]. 4835 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(65,a,4803,a(flip),b,168,a),flip(a)]. 4836 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(14(a,1),4803(a,2,1,2))]. 4838 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(198,a,4759,a(flip),b,4835,a(flip)),flip(a)]. 4839 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(4838(a,1),16(a,1,1))]. 4840 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4838(a,1),208(a,1,1)),flip(b)]. 4842 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(198,a,4777,a(flip),b,4804,a(flip))]. 4843 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(12(a,1),4842(a,1,1,2,2)),flip(a)]. 4844 x * (y \ (x / (x / y))) = (y \ x) * y. [para(48(a,1),4843(a,2,1,2))]. 4845 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,222,a,b,4844,a)]. 4846 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(198,a,4776,a,b,4845,a(flip)),flip(a)]. 4847 ((x \ y) * x) / y = K(x \ y,x). [hyper(198,a,4775,a,b,4845,a(flip)),flip(a)]. 4848 x / (x / y) = y * K(y \ x,y). [para(4845(a,1),14(a,1,2)),flip(a)]. 4851 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(198,a,4737,a,b,4847,a(flip)),flip(a)]. 4852 K(x \ y,x) * y = (x \ y) * x. [para(4847(a,1),16(a,1,1))]. 4853 (x * y) / ((x * y) / x) = x * K(y,x). [para(13(a,1),4848(a,2,2,1))]. 4854 (x * K(x \ y,x)) * (y / x) = y. [para(4848(a,1),16(a,1,1))]. 4857 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(350(a,1),4848(a,2,2,1))]. 4858 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4848(a,1),3998(a,1,2))]. 4859 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4848(a,1),4193(a,1,1))]. 4860 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4707(a,1),4848(a,2,2))]. 4862 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4852(a,1),1779(a,2,2))]. 4864 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(13(a,1),4851(a,1,1,1)),flip(a)]. 4865 K(x,y) = T(y,x) \ y. [hyper(3831,a,4853,a),flip(a)]. 4866 K(x \ (x / y),x) = K(y \ 1,x). [hyper(198,a,4061,a,b,4865,a),flip(a)]. 4867 K(x,y) = ((y * x) / y) \ x. [hyper(198,a,3785,a,b,4865,a)]. 4868 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(198,a,3077,a,b,4865,a),flip(a)]. 4869 K(x,y) = y / T(y,x). [hyper(198,a,2966,a,b,4865,a)]. 4870 K(x,y) = (1 / T(y,x)) * y. [hyper(198,a,2965,a,b,4865,a)]. 4871 K(x,y) = y * (T(y,x) \ 1). [hyper(198,a,963,a,b,4865,a)]. 4872 K(x,y) = x \ T(x,y). [hyper(198,a,4068,a(flip),b,4865,a)]. 4873 x * T(x \ 1,y) = K(x \ 1,y). [hyper(198,a,4060,a(flip),b,4865,a),flip(a)]. 4875 K(x,y) / y = 1 / T(y,x). [hyper(66,a,4865,a,b,2965,a)]. 4876 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(65,a,4865,a,b,2440,a)]. 4877 T(x,y) \ 1 = x \ K(y,x). [hyper(65,a,4865,a,b,963,a),flip(a)]. 4879 T(x,y) * K(y,x) = x. [para(4865(a,2),14(a,1,2))]. 4880 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4865(a,2,1)),flip(a)]. 4881 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4865(a,2,1)),flip(a)]. 4882 T(x,y) = x / K(y,x). [para(4865(a,2),57(a,1,2)),flip(a)]. 4883 x / K(y,x) != z | T(x,y) = z. [para(4865(a,2),254(a,1,2)),flip(b)]. 4884 ((x \ y) \ y) * K(x \ y,x) = x. [para(4865(a,2),269(a,1,2))]. 4885 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4865(a,2),2665(a,1,2))]. 4886 K(x,y) * T(y,x) = y. [para(4865(a,2),2971(a,1,1))]. 4887 T(x,y) = K(y,x) \ x. [para(4865(a,2),2972(a,1,1)),flip(a)]. 4888 K(x,y) * ((y * x) / y) = x. [para(4865(a,2),3786(a,1,1))]. 4889 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4865(a,2),3999(a,1,2,2)),flip(a)]. 4891 K(x,y) * (y * x) = x * y. [para(4865(a,2),4006(a,1,1))]. 4893 T(x * K(y,x),y) = x. [para(4865(a,2),4103(a,1,1,2))]. 4894 (x * y) / x = y * K(x,y). [para(4865(a,2),4072(a,2,2))]. 4895 K(x,y) != z | x \ T(x,y) = z. [para(4865(a,2),4077(a,1))]. 4896 x * (K(x,y) * z) = T(x,y) * z. [para(4865(a,2),4073(a,1,2,1))]. 4897 T(x,y) * (x \ z) = K(x,y) * z. [para(4865(a,2),4074(a,2,1))]. 4898 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(4252(a,1),4865(a,2,1))]. 4899 K(x / y,z) * x = y * T(y \ x,z). [para(4865(a,2),4181(a,1,1))]. 4900 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4865(a,2),4071(a,1))]. 4901 x * (T(x,y) \ z) = K(y,x) * z. [para(4865(a,2),4411(a,1,1)),flip(a)]. 4902 K(x,y) * (T(y,x) * z) = y * z. [para(4865(a,2),4412(a,1,1))]. 4903 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(4865(a,2),4415(a,1,1))]. 4904 K(x,y) \ y != z | T(y,x) = z. [para(4869(a,2),189(a,1,1)),flip(b)]. 4906 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(4869(a,2),2457(a,1,2))]. 4907 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4869(a,2),4289(a,2,1))]. 4908 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4536(a,1),4869(a,2,2))]. 4909 (x * T(x \ y,z)) / y = K(y / x,z). [hyper(198,a,3991,a,b,4872,a),flip(a)]. 4910 (T(x,y) * z) / (x * z) = K(x,y). [hyper(198,a,3973,a,b,4872,a),flip(a)]. 4911 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(198,a,3868,a,b,4872,a),flip(a)]. 4913 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(198,a,3783,a,b,4872,a)]. 4914 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(198,a,3778,a,b,4872,a),flip(a)]. 4915 K(x,y) = y \ ((x * y) / x). [hyper(198,a,3775,a,b,4872,a)]. 4916 K(x,y) = (1 / x) * T(x,y). [hyper(198,a,3033,a,b,4872,a)]. 4917 K(x,y) = T(x,y) / x. [hyper(198,a,3030,a,b,4872,a)]. 4918 K(x,y) = T(x,y) * (x \ 1). [hyper(198,a,870,a,b,4872,a)]. 4919 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(198,a,3860,a(flip),b,4872,a),flip(a)]. 4920 x * T(x \ 1,y) = K(1 / x,y). [hyper(198,a,655,a(flip),b,4872,a),flip(a)]. 4921 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(65,a,4872,a,b,3783,a)]. 4922 x \ T(x,y \ 1) = K(x,1 / y). [hyper(198,a,3506,a,b,4872,a(flip))]. 4924 T(x,y) = x * K(x,y). [para(4872(a,2),14(a,1,2)),flip(a)]. 4925 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4872(a,2,2)),flip(a)]. 4926 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(42(a,2),4872(a,2,2)),flip(a)]. 4927 x * K(x,y) != z | T(x,y) = z. [para(4872(a,2),212(a,1,2)),flip(b)]. 4929 x * K(x,y) != z * u | z \ T(x,y) = u. [para(4872(a,2),332(a,1,2))]. 4931 (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). [para(4872(a,2),794(a,1,2,2,1)),flip(a)]. 4932 L(L(K(x,y),x,z),z * x,u) = (u * (z * x)) \ (u * (z * T(x,y))). [para(4872(a,2),417(a,1,1,1))]. 4933 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4872(a,2),1100(a,1,1))]. 4935 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1749(a,1),4872(a,2,2))]. 4937 T(x,y) = K(x,y) * x. [para(4872(a,2),3032(a,1,1)),flip(a)]. 4938 K(x,y) * x != z | T(x,y) = z. [para(4872(a,2),3037(a,1,1))]. 4939 (x * K(y,x)) * y = y * x. [para(4872(a,2),3771(a,1,1,2))]. 4940 (x * y) / x = K(x,y) * y. [para(4872(a,2),3780(a,1,1)),flip(a)]. 4941 (x \ y) * K(x,x \ y) = y / x. [para(4872(a,2),3773(a,1,2))]. 4942 L(x,K(y,z),y) != u | u = x. [para(4872(a,2),3965(a,1,2))]. 4944 K(x,y) * (x * z) = T(x,y) * z. [para(4872(a,2),3923(a,1,1))]. 4945 x * (T(x,y) \ z) = K(x,y) \ z. [para(4872(a,2),3929(a,1,1)),flip(a)]. 4946 K(x,y) \ (T(x,y) * z) = x * z. [para(4872(a,2),3974(a,1,1))]. 4947 K(x,x \ y) * y = x * (y / x). [para(4872(a,2),3983(a,1,1))]. 4948 K(x,y) \ (x \ z) != u | T(x,y) \ z = u. [para(4872(a,2),3977(a,1,1))]. 4949 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4872(a,2),3988(a,1,1))]. 4950 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(4872(a,2),4019(a,1,1))]. 4952 K(x,x \ y) \ y = (x \ y) * x. [para(4872(a,2),4378(a,1,1))]. 4954 (x \ y) * K(x,y / x) = y / x. [para(108(a,1),4879(a,1,1))]. 4955 T(x,y) \ x != z | K(y,x) = z. [para(4879(a,1),191(a,1,2)),flip(b)]. 4958 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). [para(4879(a,1),2373(a,1,1,1)),flip(a)]. 4959 x * (y * K(x,y)) = T(x,y) * y. [para(4879(a,1),4425(a,1,2)),flip(a)]. 4962 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3507(a,1),4882(a,2,2)),flip(a)]. 4964 K(x,y / x) * (x \ y) = y / x. [para(108(a,1),4886(a,1,2))]. 4965 x / T(x,y) != z | K(y,x) = z. [para(4886(a,1),255(a,1,1)),flip(b)]. 4966 K(x,y / x) \ (y / x) = x \ y. [hyper(327,a,4887,a),flip(a)]. 4967 T(x,y) = (K(y,x) / x) \ 1. [hyper(198,a,3498,a,b,4887,a)]. 4968 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(198,a,4067,a(flip),b,4887,a)]. 4969 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4887(a,2),2360(a,1,2,1))]. 4970 T(T(x * K(y,x),z),y) = T(x,z). [para(4893(a,1),38(a,1,1)),flip(a)]. 4971 (x * K(y,x)) \ (y * x) = y. [para(4893(a,1),146(a,1,2,2))]. 4972 (x * y) / x != z | y * K(x,y) = z. [para(4893(a,1),258(a,1,1,2)),flip(b)]. 4973 T(x * K(y,x),z) * y = y * T(x,z). [para(4893(a,1),160(a,1,2,1)),flip(a)]. 4974 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4893(a,1),181(a,1,1,2,1)),flip(a)]. 4975 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4893(a,1),162(a,1,2,1)),flip(a)]. 4976 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4893(a,1),369(a,1,1,2)),flip(a)]. 4978 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(4893(a,1),562(a,1,2,1)),flip(a)]. 4979 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4893(a,1),1899(a,1,2,1)),flip(a)]. 4980 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4893(a,1),2424(a,1,2,2)),flip(a)]. 4981 T(K(x,y) * y,x) = y. [para(2979(a,2),4893(a,1,1))]. 4982 T(x \ K(y,x \ 1),y) = x \ 1. [para(3009(a,1),4893(a,1,1))]. 4983 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4893(a,1),3358(a,1,2)),flip(a)]. 4984 T(K(x,y \ 1) / y,x) = 1 / y. [para(3517(a,1),4893(a,1,1))]. 4985 T(x,y * K(x,y)) = T(x,y). [para(4893(a,1),4076(a,1,2)),flip(a)]. 4986 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4893(a,1),4092(a,1,2,1)),flip(a)]. 4991 T(x,((y \ z) / z) \ 1) = x * K(x,y). [hyper(4309,a,4924,a)]. 4992 T(x,y) * K(T(x,y),z) = T(T(x,z),y). [hyper(375,a,4924,a),flip(a)]. 4993 T(x,T(y,y \ x) \ 1) = T(x,y \ 1). [hyper(198,a,4322,a,b,4924,a),flip(a)]. 4994 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(66,a,4924,a,b,81,a)]. 4995 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(198,a,4547,a,b,4924,a(flip))]. 4996 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(198,a,4456,a,b,4924,a(flip)),flip(a)]. 4998 T(x,T(y,x / y)) = x * K(x,y). [hyper(198,a,4138,a,b,4924,a(flip)),flip(a)]. 5000 T(x,y) != x * z | K(x,y) = z. [para(4924(a,2),19(a,1))]. 5001 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4924(a,2),30(a,2,2)),flip(a)]. 5002 x \ T(x,y) != z | K(x,y) = z. [para(4924(a,2),191(a,1,2)),flip(b)]. 5003 (x * y) * L(K(y,z),y,x) = x * T(y,z). [para(4924(a,2),92(a,2,2))]. 5004 L(K(x,y) \ z,K(x,y),x) = T(x,y) \ (x * z). [para(4924(a,2),94(a,2,1))]. 5005 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(4924(a,2),103(a,2,1))]. 5008 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4924(a,2),424(a,2,2))]. 5010 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(4924(a,2),1180(a,1,2)),flip(a)]. 5011 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(4924(a,2),1637(a,1,1)),flip(a)]. 5012 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3093(a,1),4924(a,2,2)),flip(a)]. 5013 (x * K(x,y)) \ x = K(y,x). [para(4924(a,1),4865(a,2,1)),flip(a)]. 5014 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(375,a,4937,a),flip(a)]. 5016 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(198,a,40,a,b,4937,a(flip))]. 5019 x * (K(y,x) * y) = y * x. [para(4937(a,1),106(a,1,2))]. 5023 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(4937(a,2),94(a,2,2))]. 5025 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4937(a,2),157(a,1,1))]. 5026 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(4937(a,2),451(a,1,1))]. 5028 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4937(a,2),400(a,1,2,2))]. 5029 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(4937(a,2),424(a,2,2))]. 5030 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(4937(a,2),619(a,1,1))]. 5031 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(4937(a,2),838(a,1,2,1))]. 5032 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(4937(a,2),1687(a,1,1))]. 5033 T(x,y) != z | x * K(x,y) = z. [para(4937(a,2),3106(a,1))]. 5034 K(x,y) = x / ((y * x) / y). [hyper(198,a,3067,a,b,4867,a)]. 5035 K(x,y) = x * (((y * x) / y) \ 1). [hyper(198,a,1249,a,b,4867,a)]. 5036 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(65,a,4867,a,b,1249,a),flip(a)]. 5038 K(x,y) \ x = (y * x) / y. [para(4867(a,2),3060(a,1,1))]. 5039 K(x,y) / x = 1 / ((y * x) / y). [para(4867(a,2),3071(a,1,1))]. 5040 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(66,a,2282,a(flip),b,4870,a(flip))]. 5042 K(x \ R(x,y,z),x) = (1 / x) * x. [para(3741(a,1),4870(a,2,1,2))]. 5043 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4871(a,2),28(a,2,2,2)),flip(a)]. 5044 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4871(a,2),93(a,1,2,2)),flip(a)]. 5046 T(x,y) = 1 / (x \ K(y,x)). [para(4877(a,1),57(a,1,2)),flip(a)]. 5047 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(107(a,1),4877(a,1,1))]. 5048 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4877(a,1),254(a,1,2)),flip(b)]. 5049 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4877(a,1),1917(a,1,2,1))]. 5050 K(x \ y,x) * (y / x) = x \ y. [para(14(a,1),4888(a,1,2,1))]. 5052 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(81(a,1),4888(a,1,2,1))]. 5053 K(x,x \ y) * ((x \ y) * x) = y. [hyper(198,a,14,a(flip),b,4891,a)]. 5054 K(x,y) \ (x * y) = y * x. [hyper(71,a,4891,a)]. 5055 x / ((y \ x) * y) = K(y,y \ x). [hyper(66,a,14,a(flip),b,4891,a)]. 5056 K(x,y / x) * y = x * (y / x). [para(16(a,1),4891(a,1,2))]. 5057 x * (y * z) != z * y | K(z,y) = x. [para(4891(a,1),20(a,1)),flip(a)]. 5059 (x * y) \ (K(x,y) * ((y * x) * z)) != u | L(z,y * x,K(x,y)) = u. [para(4891(a,1),400(a,1,1))]. 5060 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4891(a,1),394(a,1,1))]. 5061 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(4891(a,1),4679(a,1,1,1))]. 5062 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4393,a,4894,a),flip(a)]. 5063 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3877,a,4894,a)]. 5064 T(x,y) * K(y,T(x,y)) = x. [hyper(258,a,4894,a)]. 5065 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(198,a,3514,a(flip),b,4894,a),flip(a)]. 5066 K(x,1 / y) / y = (x * (1 / y)) / x. [hyper(198,a,2188,a(flip),b,4894,a),flip(a)]. 5067 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(65,a,4894,a,b,1241,a)]. 5068 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(65,a,4894,a,b,958,a)]. 5069 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(21,a,4894,a)]. 5071 x / (x / y) = y * K(x / y,y). [hyper(198,a,270,a(flip),b,4894,a(flip)),flip(a)]. 5072 T(x * K(y,x),y) != z | z = x. [para(4894(a,1),195(a,1,1))]. 5073 T(x,y) * K(y,T(x,y)) != z | z = x. [para(4894(a,1),258(a,1))]. 5074 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(102(a,1),4894(a,1,1))]. 5075 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4894(a,1),103(a,1,1))]. 5076 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4894(a,2),420(a,1,2))]. 5077 T(x * K(y * x,x),y) = R(x,y,x). [para(4894(a,1),685(a,2,1)),flip(a)]. 5078 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4894(a,1),740(a,1,1))]. 5079 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4894(a,1),746(a,1,1))]. 5080 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(4894(a,2),83(a,1,2))]. 5081 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4894(a,1),843(a,1,1,1))]. 5082 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4894(a,1),741(a,1,1))]. 5083 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4894(a,1),1465(a,2,1,2))]. 5084 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1536(a,1),4894(a,1,1))]. 5085 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4894(a,1),1555(a,2,1)),flip(a)]. 5086 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1681(a,1),4894(a,1,1))]. 5087 K(x,y) = (1 / y) * ((x * y) / x). [para(4894(a,2),3006(a,1,2)),flip(a)]. 5089 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4894(a,1),4728(a,1,1,2))]. 5090 (x * K(y,x)) \ x = K(x,y). [para(4894(a,1),4867(a,2,1)),flip(a)]. 5091 x * K(y,x) != z | (y * x) / y = z. [para(4915(a,2),212(a,1,2)),flip(b)]. 5092 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(4915(a,2),267(a,1,2,2))]. 5095 K(1 / x,y) / x = T(1 / x,y). [hyper(271,a,4918,a(flip))]. 5096 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4918(a,2),400(a,1,2,2))]. 5097 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4248(a,2),4918(a,2,1)),flip(a)]. 5098 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1691,a,b,4939,a)]. 5099 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(4939(a,1),81(a,1,1))]. 5100 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4939(a,1),434(a,1,1,1))]. 5101 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(4939(a,1),4105(a,1,1,2))]. 5102 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4939(a,1),4730(a,1,2)),flip(a)]. 5103 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(66,a,857,a,b,4940,a(flip))]. 5104 (x \ T(x * y,y)) / y = K(x * y,y). [hyper(66,a,3959,a(flip),b,4940,a(flip))]. 5106 ((x * y) / x) / y != z | K(x,y) = z. [para(4940(a,2),255(a,1,1)),flip(b)]. 5107 R(K(x,y / z),y / z,z) = (((x * (y / z)) / x) * z) / y. [para(4940(a,2),104(a,1,1,1)),flip(a)]. 5108 T(x * T(y,z),u) / ((K(z,y) / y) \ 1) = (K(z,y) / y) * T((K(z,y) / y) \ x,u). [para(4967(a,2),891(a,1,1,1,2))]. 5110 x / (y / (y / x)) = K(x,x \ y). [para(4149(a,1),5034(a,2,2)),flip(a)]. 5111 K(x,y) \ x = x * K(y,x). [hyper(198,a,4894,a(flip),b,5038,a)]. 5113 R(K(x,y) \ x,y,z) = ((y * x) * z) / (y * z). [para(5038(a,2),103(a,1,1))]. 5114 T(K(x,y) \ x,z) = (y * T(x,z)) / y. [para(5038(a,2),369(a,2,1)),flip(a)]. 5115 K(x,T(y,x)) = K(x,y). [hyper(17,a,4879,a,b,5064,a)]. 5116 K(x,x \ (y * x)) = K(x,y). [para(32(a,1),5115(a,1,2))]. 5117 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(38(a,1),5115(a,1,2))]. 5118 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),5115(a,1,2))]. 5119 K(x,y / x) = K(x,x \ y). [para(108(a,1),5115(a,1,2)),flip(a)]. 5120 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(107(a,1),5115(a,1,2))]. 5121 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(165(a,1),5115(a,1,2)),flip(a)]. 5122 K(x,y) \ T(y,x) = T(T(y,x),x). [para(5115(a,1),4887(a,2,1)),flip(a)]. 5123 K(x,y * K(x,y)) = K(x,y). [para(4893(a,1),5115(a,1,2)),flip(a)]. 5124 K(x,y) \ 1 = K(y,x). [hyper(3292,a,5111,a)]. 5125 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5111(a,1),94(a,1,1))]. 5126 x * K(T(y,x),x) = K(x,y) \ x. [para(5115(a,1),5111(a,1,1)),flip(a)]. 5128 K(x,y) * K(y,x) = 1. [para(5124(a,1),14(a,1,2))]. 5129 1 / K(x,y) = K(y,x). [para(5124(a,1),57(a,1,2))]. 5131 1 / K(x,y) != z | K(y,x) = z. [para(5124(a,1),254(a,1,2)),flip(b)]. 5132 x * (K(y,z) * K(z,y)) != u | u = x. [para(5124(a,1),136(a,1,2,2))]. 5135 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(5124(a,1),310(a,1,1,1))]. 5136 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5124(a,1),1769(a,2,2,1))]. 5137 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(5124(a,1),1882(a,2,1,2,1))]. 5139 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5124(a,1),3477(a,2,2))]. 5140 K(x,T(y,x)) != z | K(x,y) = z. [para(5124(a,1),4217(a,1))]. 5142 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5124(a,1),4918(a,2,2)),flip(a)]. 5143 K(T(x,y),y) = K(x,y). [hyper(4211,a,5128,a)]. 5144 K(x,y) * z != 1 | K(y,x) = z. [para(5128(a,1),19(a,1)),flip(a)]. 5145 K(x,y) \ 1 != z | K(y,x) = z. [para(5128(a,1),191(a,1,2)),flip(b)]. 5146 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5129(a,1),3581(a,1,2,2))]. 5147 K(x \ (y * x),x) = K(y,x). [para(32(a,1),5143(a,1,1))]. 5148 K(x / y,y) = K(y \ x,y). [para(108(a,1),5143(a,1,1)),flip(a)]. 5150 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(704(a,1),5143(a,1,1)),flip(a)]. 5151 K(x / (x / y),y \ x) = K(y,y \ x). [para(4141(a,1),5143(a,1,1)),flip(a)]. 5152 K(x * K(y,x),y) = K(x,y). [para(4893(a,1),5143(a,1,1)),flip(a)]. 5154 x \ (y * (x / y)) = K(y,y \ x). [hyper(198,a,87,a,b,5119,a(flip)),flip(a)]. 5155 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(198,a,4324,a(flip),b,5119,a(flip))]. 5156 x * K(y,y \ x) = y * (x / y). [para(5119(a,1),223(a,1,2))]. 5160 x * K(x / y,y) = (y \ x) * y. [para(5148(a,2),222(a,1,2))]. 5165 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3093(a,1),4927(a,1,2))]. 5166 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),4955(a,1,1))]. 5167 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),4955(a,1,1))]. 5169 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(4060(a,1),4955(a,1))]. 5170 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),5002(a,1,2))]. 5171 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(628(a,2),5002(a,1,2))]. 5172 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(870(a,2),5002(a,1))]. 5173 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3991(a,2),5002(a,1))]. 5179 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),5140(a,1,2))]. 5181 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(42(a,2),5140(a,1,2))]. 5182 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(944(a,1),5140(a,1,2))]. 5185 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2339,a,4866,a)]. 5186 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(198,a,2329,a,b,4866,a(flip)),flip(a)]. 5187 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(198,a,1225,a(flip),b,4866,a(flip)),flip(a)]. 5188 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(198,a,1207,a(flip),b,4866,a(flip)),flip(a)]. 5189 K((x * y) \ x,x * y) = K(y \ 1,x * y). [para(15(a,1),4866(a,1,1,2))]. 5190 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4866(a,1),1206(a,2,2))]. 5192 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4866(a,1),1224(a,1,1))]. 5193 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4866(a,1),1209(a,1,2))]. 5194 (x / y) * K(((x / y) \ (1 / y)) \ 1,z) = T(x,z) / y. [para(4866(a,1),1217(a,1,2))]. 5196 T(1 / x,y) \ 1 = K(x \ 1,y) \ x. [para(4866(a,1),1896(a,1,1)),flip(a)]. 5198 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(810,a,4873,a)]. 5199 T(1 / x,y) * x = K(x \ 1,y). [hyper(367,a,4873,a)]. 5200 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(65,a,4873,a(flip),b,792,a(flip))]. 5202 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4873(a,1),649(a,2,2))]. 5204 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4873(a,1),823(a,2,2))]. 5205 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4873(a,1),1092(a,1,1))]. 5206 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4873(a,1),1356(a,2,1))]. 5207 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(4873(a,1),1607(a,2,2))]. 5208 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4873(a,1),2165(a,2,1,2))]. 5211 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(4885(a,1),400(a,1,2,2))]. 5212 T(x,y) \ (x * z) = K(x,y) \ z. [hyper(520,a,4896,a)]. 5213 K(x,y) \ (x \ z) = T(x,y) \ z. [hyper(519,a,4896,a),flip(a)]. 5214 T(x,y) * (K(x,y) \ z) = x * z. [hyper(267,a,4896,a),flip(a)]. 5215 x \ (T(x,y) * z) = K(x,y) * z. [hyper(71,a,4896,a)]. 5216 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(65,a,106,a(flip),b,4896,a),flip(a)]. 5217 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(65,a,14,a(flip),b,4896,a),flip(a)]. 5218 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,4182,a,b,4896,a),flip(a)]. 5219 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,966,a,b,4896,a)]. 5220 K(x,y) * (x * z) = z * T(T(x,z),y). [hyper(17,a,953,a,b,4896,a)]. 5221 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(17,a,4313,a(flip),b,4896,a)]. 5222 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4311,a(flip),b,4896,a)]. 5223 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(17,a,4233,a(flip),b,4896,a)]. 5225 T(x,y) * z != x * u | K(x,y) * z = u. [para(4896(a,1),19(a,1))]. 5226 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4896(a,1),24(a,2,2,1)),flip(a)]. 5227 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(106(a,1),4896(a,1,2)),flip(a)]. 5228 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(1802(a,1),4896(a,1,2))]. 5229 K(x,y) \ (y * z) = T(y,x) * z. [hyper(4427,a,4897,a)]. 5230 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(987,a,4897,a)]. 5231 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(835,a,4897,a)]. 5232 x \ (K(x,y) \ z) = T(x,y) \ z. [hyper(65,a,14,a(flip),b,4897,a),flip(a)]. 5233 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(198,a,4282,a,b,4897,a(flip)),flip(a)]. 5234 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(198,a,4823,a(flip),b,4897,a(flip)),flip(a)]. 5235 (x * (y / x)) / y = K(x,x \ y). [hyper(66,a,3937,a(flip),b,4897,a(flip))]. 5236 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(65,a,4897,a(flip),b,4417,a(flip))]. 5240 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4872(a,2),4897(a,1,2)),flip(a)]. 5241 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(4746,a,4901,a),flip(a)]. 5242 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(4433,a,4901,a)]. 5243 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1025,a,4901,a)]. 5244 K(x,y) \ (T(y,x) \ z) = y \ z. [hyper(988,a,4901,a)]. 5245 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(986,a,4901,a),flip(a)]. 5246 T(x,y) \ (K(y,x) \ z) = x \ z. [hyper(65,a,14,a(flip),b,4901,a),flip(a)]. 5248 T(x,y) * (K(y,x) * z) = x * z. [para(4901(a,1),958(a,1,2))]. 5249 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4901(a,1),986(a,1))]. 5250 K(x,y) * z != u | T(y,x) \ (y * z) = u. [para(4901(a,1),1025(a,1))]. 5251 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4872(a,2),4901(a,1,2)),flip(a)]. 5252 K(x,y) \ T(y,z) = T(y,x) * K(y,z). [hyper(65,a,4924,a,b,4902,a)]. 5253 T(x \ y,z) * T(x,x \ y) = K(z,x \ y) \ y. [hyper(65,a,147,a(flip),b,4902,a),flip(a)]. 5254 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(4902(a,1),191(a,1,2)),flip(b)]. 5256 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(4902(a,1),394(a,1,1)),flip(a)]. 5259 (T(x,y) * R(x \ 1,x,z)) / ((z / (x * z)) * x) = K(x,y). [para(580(a,2),4910(a,1,2))]. 5260 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1301(a,1),4913(a,2,1)),flip(a)]. 5263 x * T(x \ y,z) = y * K(1 / (y \ x),z). [para(4920(a,1),1196(a,1,2)),flip(a)]. 5264 (x * y) * T((x * y) \ y,z) = K(1 / x,z) * y. [para(4920(a,1),1272(a,2,1))]. 5265 K(x,(x / y) / x) = K(x,1 / y). [hyper(3823,a,4922,a)]. 5267 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(65,a,4922,a(flip),b,3778,a)]. 5268 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4922(a,1),5002(a,1))]. 5271 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(4941(a,1),3007(a,1,2))]. 5272 T(x \ y,R(y / x,z,u)) = x \ y. [para(4941(a,1),4489(a,1,2,1))]. 5274 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(65,a,106,a(flip),b,4944,a)]. 5275 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),4944(a,2,1))]. 5276 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4944(a,1),267(a,1))]. 5277 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(161(a,1),4944(a,1,2))]. 5278 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(162(a,1),4944(a,1,2))]. 5280 K(x,y / z) \ y = z * T(z \ y,x). [hyper(198,a,4419,a,b,4945,a(flip))]. 5281 K(x,y) \ z = K(y,x) * z. [hyper(198,a,4901,a(flip),b,4945,a(flip))]. 5282 (K(x,y) \ z) / z = K(y,x). [hyper(66,a,4945,a(flip),b,4901,a(flip))]. 5283 K(x,y) \ (K(y,x) \ z) = z. [hyper(65,a,4945,a(flip),b,4901,a(flip))]. 5284 ((x * y) / x) \ z = y \ (K(x,y) \ z). [para(4945(a,1),4420(a,1,2)),flip(a)]. 5285 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(3312,a,5281,a)]. 5286 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(3311,a,5281,a),flip(a)]. 5287 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(696,a,5281,a),flip(a)]. 5288 x / (K(y,z) * x) = K(z,y). [hyper(507,a,5281,a)]. 5289 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(321,a,5281,a),flip(a)]. 5290 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(198,a,2988,a,b,5281,a)]. 5291 K(x,y) * (K(y,x) * z) = z. [hyper(191,a,5281,a)]. 5292 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(65,a,5281,a,b,106,a)]. 5293 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(198,a,3661,a(flip),b,5281,a(flip))]. 5294 x * (K(y,z) * u) != u | K(z,y) = x. [para(5281(a,1),76(a,1,2)),flip(b)]. 5295 K(x,y) * (K(y,x) * z) != u | u = z. [para(5281(a,1),191(a,1))]. 5296 x / (K(y,z) * x) != u | K(z,y) = u. [para(5281(a,1),254(a,1,2)),flip(b)]. 5298 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(5281(a,2),92(a,1,1))]. 5299 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5281(a,1),196(a,1,1,2))]. 5300 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5281(a,1),196(a,1,1))]. 5302 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5281(a,1),511(a,1,2))]. 5303 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5281(a,1),268(a,1,1,3))]. 5304 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(5281(a,1),3740(a,1,1))]. 5306 K(x,y) != z | K(y,x) \ 1 = z. [para(5282(a,1),186(a,1)),flip(b)]. 5307 K(x,y) * z != u | K(y,x) \ z = u. [para(5282(a,1),208(a,1,1)),flip(b)]. 5311 K(x,y) * z != u | K(y,x) * u = z. [para(5288(a,1),73(a,1,1)),flip(b)]. 5312 K(x,y) \ z != u | K(y,x) * z = u. [para(5288(a,1),189(a,1,1)),flip(b)]. 5313 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(2984(a,2),5288(a,1,2))]. 5314 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(17,a,1802,a,b,5291,a)]. 5315 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,1802,a(flip),b,5291,a)]. 5316 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5291(a,1),102(a,1,2))]. 5317 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) != w | a(x,K(z,u),K(u,z) * y) = w. [para(5291(a,1),620(a,1,1,2))]. 5321 (x * (1 / x)) \ (T(x,x \ 1) * y) = x * y. [para(1975(a,1),4946(a,1,1))]. 5322 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(66,a,4650,a,b,4947,a)]. 5323 K(x \ y,x) * (x * (y / x)) = y. [hyper(17,a,5291,a,b,4947,a),flip(a)]. 5324 K(x \ y,x) \ y = x * (y / x). [hyper(198,a,5281,a,b,4947,a(flip)),flip(a)]. 5325 (x * K(y,y \ z)) \ (x * (y * (z / y))) != u | L(z,K(y,y \ z),x) = u. [para(4947(a,1),400(a,1,2,2))]. 5326 K(x,(x \ 1) * y) * y = x * (y / x). [para(4334(a,2),4947(a,1,1))]. 5327 K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x). [para(4336(a,1),4947(a,1,1))]. 5328 (x * (1 / x)) \ 1 = (x \ 1) * x. [para(1975(a,1),4952(a,1,1))]. 5329 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(4959(a,1),30(a,2,2)),flip(a)]. 5330 (x \ (x / y)) * T(x,y \ 1) = x / y. [para(4968(a,1),147(a,1,2))]. 5331 ((x / y) / x) * T(x,y \ 1) = x * ((x / y) / x). [para(4968(a,1),4131(a,1,2))]. 5332 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(4996(a,2),4927(a,1))]. 5333 K(x,T(y,x / y)) = K(x,y). [hyper(5000,a,4998,a)]. 5334 K(x * y,T(x,y)) = K(x * y,x). [para(4094(a,1),5333(a,1,2))]. 5335 K(x,(y \ x) \ x) = K(x,y). [para(4129(a,1),5333(a,1,2))]. 5336 K(x,x / y) = K(x,y \ x). [para(60(a,1),5335(a,1,2,1)),flip(a)]. 5337 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5035(a,2),1104(a,2,2))]. 5338 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(5036(a,1),2442(a,1,2))]. 5339 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4241(a,1),5036(a,1,1)),flip(a)]. 5340 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(5036(a,1),4301(a,1,2))]. 5341 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(774(a,1),5039(a,2,2))]. 5342 1 / (x * K(y,x)) = K(x,y) / x. [para(4894(a,1),5039(a,2,2)),flip(a)]. 5344 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(4836(a,2),5055(a,1,2))]. 5345 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(4324(a,1),5056(a,1,1))]. 5346 (x * (y / x)) \ x = y \ (y / (y / x)). [para(5071(a,2),1240(a,1,2)),flip(a)]. 5347 T(1 / x,(y * x) / y) = x \ 1. [hyper(150,a,5087,a(flip),b,4913,a(flip))]. 5350 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(5139(a,1),3196(a,2,2,2))]. 5351 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3863,a,5154,a)]. 5352 T(x,K(y,y \ x)) = x. [hyper(150,a,5156,a,b,4947,a)]. 5353 x * (y / x) != y * z | K(x,x \ y) = z. [para(5156(a,1),19(a,1))]. 5354 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5156(a,1),28(a,2,1)),flip(a)]. 5356 (x \ y) * x != y * z | K(y / x,x) = z. [para(5160(a,1),19(a,1))]. 5357 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(66,a,513,a(flip),b,5199,a),flip(a)]. 5359 (T(x,y) * T(K(x,y) \ z,u)) / T(x,y) = T((x * z) / T(x,y),u). [para(5212(a,1),365(a,1,1,2,1))]. 5360 T(x,x \ 1) \ (x * y) = (x * (1 / x)) \ y. [para(1975(a,1),5212(a,2,1))]. 5361 K(x,y) \ K(x,z) = T(x,y) \ T(x,z). [para(4924(a,2),5212(a,1,2)),flip(a)]. 5363 (x * (1 / x)) \ (x \ y) = T(x,x \ 1) \ y. [para(1975(a,1),5213(a,1,1))]. 5365 K(T(x,y) \ (x * z),u) = K(K(x,y) \ z,u). [para(5214(a,1),601(a,1,1,2))]. 5366 x \ (T(x,y) * z) = K(y,x) \ z. [hyper(198,a,5281,a,b,5215,a)]. 5367 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5215(a,1),212(a,1,2)),flip(b)]. 5368 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5217(a,1),19(a,1))]. 5371 ((x \ 1) * x) \ (x * y) = T(x,x \ 1) * y. [para(167(a,1),5229(a,1,1))]. 5372 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5230(a,1,2,1))]. 5378 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),5243(a,1,1))]. 5379 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5243(a,1),212(a,1,2)),flip(b)]. 5381 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4879(a,1),5243(a,1,2)),flip(a)]. 5382 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4924(a,2),5243(a,1,2))]. 5383 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5243(a,1),4901(a,1,2)),flip(a)]. 5386 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5245(a,1),390(a,1,1)),flip(a)]. 5387 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [para(5115(a,1),5245(a,1,1))]. 5389 K(x,y) \ (y \ z) = y \ (K(x,y) \ z). [hyper(65,a,5246,a(flip),b,5245,a)]. 5391 K(x,y) * (x / y) = x / T(y,x). [hyper(4347,a,5248,a),flip(a)]. 5392 K(x,y) * (x / y) = T(x,y) / y. [hyper(4345,a,5248,a),flip(a)]. 5393 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(66,a,4924,a,b,5248,a)]. 5394 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(17,a,1026,a(flip),b,5248,a)]. 5395 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5248(a,1),191(a,1,2)),flip(b)]. 5397 K(x,1 / (y \ x)) = K(x,y / x). [para(57(a,1),5265(a,1,2,1)),flip(a)]. 5398 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5265(a,1),223(a,1,2))]. 5399 x * K(y,1 / (x \ z)) = z * ((y * (z \ x)) / y). [para(5265(a,1),1787(a,1,2))]. 5401 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5286(a,1),255(a,1,1)),flip(b)]. 5402 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5292(a,1),1654(a,1,2,2,1))]. 5403 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5292(a,1),1713(a,1,2,2,1))]. 5404 (x \ K(x,y)) * ((x \ 1) \ 1) = K(x,y). [para(5338(a,1),147(a,1,2))]. 5405 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5338(a,1),160(a,1,2,1))]. 5406 (K(x,y) / x) \ 1 = x * K(y,x). [para(5342(a,1),60(a,1,1))]. 5407 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5391(a,1),92(a,1,1))]. 5408 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5391(a,1),128(a,1,2,1))]. 5410 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1978(a,2),5042(a,2,1))]. 5411 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3517(a,1),5077(a,1,1))]. 5414 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(4580(a,2),5132(a,1))]. 5415 T(K(x,y),z) * K(y,x) != u | K(K(x,y),z) = u. [para(4944(a,1),5132(a,1)),flip(b)]. 5416 K(x,y) \ T(x,y * x) = L(x,y,x). [hyper(198,a,5281,a,b,5221,a(flip)),flip(a)]. 5417 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2987,a,5222,a)]. 5418 K(x,y) \ T(x,x * y) = L(x,y,x). [hyper(198,a,5281,a,b,5222,a(flip)),flip(a)]. 5419 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(65,a,5222,a(flip),b,2984,a),flip(a)]. 5421 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(2987,a,5223,a)]. 5422 K(x,x * y) \ T(x,y) = R(x,y,x). [hyper(198,a,5281,a,b,5223,a(flip)),flip(a)]. 5423 K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(2844(a,1),5295(a,1,2)),flip(b)]. 5424 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3752(a,2),5295(a,1,2)),flip(b)]. 5425 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) != u | y * z = u. [para(4621(a,1),5295(a,1,2)),flip(b)]. 5427 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(32(a,2),5312(a,1))]. 5428 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(165(a,1),5332(a,1,2))]. 5430 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(65,a,5417,a(flip),b,4896,a),flip(a)]. 5431 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1749(a,1),5417(a,1,1))]. 5432 T(x,y) \ L(x,x \ y,x) = K(x \ y,x). [para(14(a,1),5419(a,2,1,2)),flip(a)]. 5435 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(65,a,5421,a(flip),b,4896,a),flip(a)]. 5436 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5421(a,1),28(a,2,2,2)),flip(a)]. 5437 K(x,y) \ T(x,x \ y) = R(x,x \ y,x). [para(14(a,1),5422(a,1,1,2))]. 5438 (K(x,x * y) * T(K(x,x * y),z)) \ (T(K(x,x * y),z) * T(x,y)) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(5422(a,1),413(a,2,1))]. 5439 K(x,x * y) \ (L(K(x,x * y),z,u) * T(x,y)) = L(K(x,x * y),z,u) * R(x,y,x). [para(5422(a,1),1176(a,2,2))]. 5440 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(4868(a,1),2507(a,2,1,2,1))]. 5441 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(4893(a,1),4876(a,1,1,1)),flip(a)]. 5442 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4894(a,1),4889(a,1,1))]. 5444 K(x * (1 / y),x) = K(y \ x,x). [hyper(198,a,4865,a,b,4898,a)]. 5446 K((x \ 1) \ y,y) = K(y * x,y). [para(57(a,1),5444(a,1,1,2)),flip(a)]. 5447 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(66,a,791,a(flip),b,4899,a)]. 5448 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4899(a,1),151(a,2)),flip(a)]. 5449 x / (y * T(y \ x,z)) = K(z,x / y). [para(4899(a,1),5288(a,1,2))]. 5450 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(4906(a,1),57(a,1,2))]. 5451 K(x * K(y,y \ 1),z) = K(x,z). [hyper(198,a,4869,a,b,4908,a)]. 5452 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2563(a,1),5451(a,1,1))]. 5454 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2713(a,1),5451(a,1,1)),flip(a)]. 5456 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2766(a,1),5451(a,1,1))]. 5457 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2767(a,1),5451(a,1,1)),flip(a)]. 5458 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2867(a,1),5451(a,1,1))]. 5459 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2909(a,1),5451(a,1,1)),flip(a)]. 5460 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2848(a,1),5451(a,1,1))]. 5461 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4540(a,2),5451(a,1,1))]. 5462 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4541(a,2),5451(a,1,1))]. 5465 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(198,a,2211,a(flip),b,4914,a(flip)),flip(a)]. 5466 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4914(a,1),1136(a,2,2))]. 5468 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4914(a,1),1612(a,2,1))]. 5469 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4914(a,1),1785(a,1,2))]. 5470 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4914(a,1),2145(a,2,2))]. 5471 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4914(a,1),2497(a,1,1))]. 5473 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(198,a,4872,a,b,4935,a)]. 5474 K(x,x * (y \ 1)) != z | K(x,y \ x) = z. [para(4935(a,2),5002(a,1))]. 5475 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,4939,a,b,4973,a),flip(a)]. 5476 T(x * K(T(x,y) \ z,x),y) = z / (z / T(x,y)). [hyper(18,a,4148,a,b,4973,a)]. 5477 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,4104,a,b,4973,a)]. 5478 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1691,a,b,4973,a)]. 5479 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(18,a,363,a,b,4973,a),flip(a)]. 5480 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5477(a,1),38(a,1,1)),flip(a)]. 5481 (x * K(x * y,x)) * y = y * R(x,y,x). [para(5477(a,1),106(a,1,2)),flip(a)]. 5482 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(198,a,4387,a,b,4974,a)]. 5483 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(65,a,4974,a,b,4894,a(flip))]. 5484 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4974(a,2),4867(a,2,1)),flip(a)]. 5485 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4974(a,2),4972(a,1))]. 5486 K(x,((y \ z) / z) \ 1) = K(x,y). [hyper(5000,a,4991,a)]. 5488 K(x,(y / z) \ 1) = K(x,z / y). [para(60(a,1),5486(a,1,2,1,1))]. 5489 K(x,(y / z) \ 1) = K(x,z / y) * 1. [hyper(198,a,12,a,b,5488,a)]. 5490 K(x,1 / (y / z)) = K(x,z / y). [hyper(198,a,3506,a,b,5488,a(flip)),flip(a)]. 5491 K(x,y / (z * y)) = K(x,z \ 1). [para(15(a,1),5488(a,1,2,1)),flip(a)]. 5494 K(x,y / (z * y)) = K(x,1 / z). [para(15(a,1),5490(a,1,2,2)),flip(a)]. 5495 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(5490(a,1),5268(a,1))]. 5496 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5491(a,1),4964(a,1,1))]. 5497 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(5494(a,1),4954(a,1,2))]. 5498 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5494(a,2),5268(a,1))]. 5499 T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). [hyper(65,a,4992,a(flip),b,5248,a)]. 5501 T(x * y,T(x,y) \ 1) = T(x * y,x \ 1). [para(13(a,1),4993(a,1,2,1,2))]. 5503 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5069(a,1),77(a,1))]. 5504 K(x,y * x) = K(x,x * y). [hyper(5172,a,5097,a)]. 5505 K(x,x * (y / x)) = K(x,y). [para(16(a,1),5504(a,1,2)),flip(a)]. 5506 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(81(a,1),5504(a,2,2))]. 5507 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4659(a,1),5505(a,1,2)),flip(a)]. 5508 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(5104(a,1),678(a,1,1))]. 5509 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2888(a,1),5118(a,1,2))]. 5510 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(14(a,1),5218(a,1,1,1)),flip(a)]. 5511 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(16(a,1),5218(a,1,1,1))]. 5512 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4894(a,1),5218(a,1,1))]. 5513 K(x,y) * (x * T(K(x,z),u)) = T(K(x,z),u) * T(x,y). [para(3119(a,1),5220(a,2,2,1))]. 5515 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(3118,a,5240,a(flip))]. 5516 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5240(a,2),3118(a,1))]. 5517 T(x,y) * K(x,z) != u | K(y,x) \ T(x,z) = u. [para(5240(a,1),5307(a,1))]. 5518 K(x,y) * (y * z) = ((x * y) / x) * z. [para(13(a,1),5242(a,1,2)),flip(a)]. 5520 ((x * y) / x) * z = y * (K(x,y) * z). [para(5242(a,1),1247(a,1,2)),flip(a)]. 5523 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(5252(a,1),5312(a,1))]. 5525 x * T(x \ y,z) != u | K(y / x,z) * y = u. [para(5280(a,1),5312(a,1))]. 5527 (K(x,y) \ x) \ z = x \ (K(y,x) \ z). [para(5038(a,2),5284(a,1,1))]. 5528 T(x,K(y,z)) != K(z,y) * u | x * K(y,z) = u. [para(5289(a,1),19(a,1))]. 5529 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(198,a,3096,a(flip),b,5313,a)]. 5530 (x \ (x / (y \ 1))) * T(x,y) = x / (y \ 1). [para(3352(a,1),5330(a,1,2))]. 5531 x * ((y * (x / y)) \ y) = x / (x / y). [para(5346(a,2),14(a,1,2))]. 5533 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(198,a,1802,a,b,5382,a)]. 5534 K(x,y) \ (y * z) = y * (K(x,y) \ z). [hyper(65,a,78,a(flip),b,5383,a)]. 5536 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5383(a,1),102(a,2,1))]. 5537 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5383(a,1),267(a,1))]. 5540 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(4901(a,1),5383(a,1,2)),flip(a)]. 5542 x \ (y \ (K(x,y) \ z)) = T(x,y) \ (y \ z). [hyper(65,a,5389,a(flip),b,4945,a)]. 5543 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(4893(a,1),5393(a,1,1))]. 5544 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(868(a,1),5394(a,1,2))]. 5545 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(243(a,2),5394(a,1,2,2,1))]. 5546 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(594,a,5404,a)]. 5547 x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). [hyper(198,a,5488,a,b,5449,a)]. 5548 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(792(a,1),5449(a,1,2))]. 5549 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1455(a,1),5449(a,1,2))]. 5550 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4875(a,2),5450(a,1,2))]. 5551 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2449(a,2),5452(a,1,1,2))]. 5552 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3570(a,1),5454(a,1,1,2))]. 5553 K(x * (y \ 1),x) = K(y \ x,x). [hyper(198,a,5444,a(flip),b,5456,a(flip))]. 5554 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5036(a,1),5553(a,1,1,2)),flip(a)]. 5555 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5553(a,1),5477(a,1,1,2))]. 5556 K((1 / (1 / x)) * y,z) = K(x * y,z). [para(60(a,1),5458(a,2,1,1))]. 5557 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5342(a,1),5458(a,1,1,1)),flip(a)]. 5561 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5489(a,2),74(a,1)),flip(b)]. 5562 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(198,a,60,a,b,5515,a),flip(a)]. 5563 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5515(a,1),19(a,1))]. 5564 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(14(a,1),5518(a,2,1,1))]. 5566 (K(x,y) * y) * z = K(x,y) * (y * z). [para(4940(a,1),5518(a,2,1)),flip(a)]. 5568 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5520(a,1),745(a,1,1))]. 5569 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4149(a,1),5520(a,1,1))]. 5570 (x * K(y,x)) * z = x * (K(y,x) * z). [para(4894(a,1),5520(a,1,1))]. 5571 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4944(a,1),5520(a,2,2))]. 5572 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [para(5391(a,1),5520(a,2,2))]. 5573 x \ (x \ (T(x,y) * z)) = (K(x,y) \ x) \ z. [para(5366(a,2),5527(a,2,2)),flip(a)]. 5574 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4141(a,1),5533(a,1,2)),flip(a)]. 5576 R(K(x,y),y,z) = K(x,y). [hyper(4743,a,5566,a)]. 5577 L(x,y,K(z,y)) = x. [hyper(390,a,5566,a)]. 5578 L(x,T(y,z),K(z,y)) = x. [para(4044(a,1),5577(a,1,3))]. 5580 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(198,a,5491,a(flip),b,5576,a)]. 5581 R(x,K(y,x),z) = x. [hyper(4743,a,5570,a)]. 5582 L(x,K(y,z),z) = x. [hyper(390,a,5570,a)]. 5584 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5581(a,1),428(a,1,1,1)),flip(a)]. 5585 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5581(a,1),430(a,1,1,1)),flip(a)]. 5587 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5582(a,1),217(a,1,2))]. 5591 K(x / y,z) \ y != u | T(x / y,z) \ x = u. [para(60(a,1),4948(a,1,2))]. 5597 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(198,a,3782,a(flip),b,5067,a(flip)),flip(a)]. 5598 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5597(a,1),1657(a,1,1,2))]. 5599 x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. [para(1204(a,1),5169(a,1))]. 5600 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2330(a,1),5169(a,1))]. 5601 R(x * T(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(2340(a,1),5169(a,1))]. 5602 K(1 / x,y) != z | K(x \ 1,y) = z. [para(4920(a,1),5169(a,1))]. 5607 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5236(a,1),5276(a,1,2))]. 5608 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3870(a,2),5353(a,1))]. 5610 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2043(a,1),5379(a,1,2))]. 5611 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5291(a,1),5379(a,1,2))]. 5613 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(1803,a,5430,a)]. 5614 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(1803,a,5435,a)]. 5615 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5435(a,1),1803(a,1))]. 5616 (K(x,y) * T(K(x,y),z)) \ (T(K(x,y),z) * T(x,x \ y)) = L(R(x,x \ y,x),K(x,y),T(K(x,y),z)). [para(5437(a,1),413(a,2,1))]. 5620 R(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. [para(5576(a,2),5495(a,1))]. 5623 K(x,y \ 1) != z | K(x,1 / y) = z. [para(55(a,1),5561(a,1,2,1))]. 5624 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(103(a,2),5561(a,1,2,1))]. 5625 K(x,y) != z | K(x,1 / (1 / y)) = z. [para(60(a,1),5623(a,1,2))]. 5627 K(x,y / z) != u | K(x,1 / (z / y)) = u. [para(5488(a,1),5623(a,1))]. 5630 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),5614(a,1,1,1)),flip(a)]. 5631 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5614(a,1),1807(a,1))]. 5634 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(4858(a,2),4204(a,1,1))]. 5635 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4860(a,1),4464(a,1,1,1))]. 5636 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(198,a,601,a(flip),b,4864,a(flip)),flip(a)]. 5638 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4872(a,2),4919(a,1,1)),flip(a)]. 5640 K(x,T(y,z) \ 1) = T(K(x,1 / y),z). [para(4922(a,1),4919(a,1,1)),flip(a)]. 5641 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(60(a,1),5638(a,2,1,2))]. 5642 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5638(a,2),106(a,1,2))]. 5643 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3500(a,1),5638(a,2,1))]. 5645 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5638(a,1),4927(a,1,2))]. 5646 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [hyper(5623,a,5640,a)]. 5647 T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. [para(5640(a,1),5623(a,1))]. 5648 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(5623,a,5641,a)]. 5649 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5641(a,1),3122(a,1,2,1))]. 5650 R(x * K(y,x),y,x) = x * K(x * y,x). [hyper(18,a,5481,a,b,4975,a)]. 5651 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,4939,a,b,4975,a),flip(a)]. 5654 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5342(a,1),4980(a,1,1,2))]. 5655 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5654(a,1),106(a,1,2)),flip(a)]. 5656 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [hyper(17,a,4924,a(flip),b,4995,a),flip(a)]. 5657 T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. [para(4995(a,1),4927(a,1))]. 5658 K(x,(y / (z \ 1)) * (1 / z)) = K(x,y). [para(16(a,1),5656(a,2,2))]. 5659 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(57(a,1),5656(a,1,2,2)),flip(a)]. 5661 K(x,y * K(z,z \ 1)) = K(x,y). [para(2785(a,1),5658(a,1,2))]. 5662 K(x,y * K(z \ 1,z)) = K(x,y). [para(1979(a,1),5661(a,1,2,2))]. 5663 K(x,K(y,y \ 1) * z) = K(x,z). [para(2583(a,2),5661(a,1,2))]. 5664 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2564(a,1),5661(a,1,2))]. 5665 K(x,y / (1 / (1 / z))) = K(x,y / z). [para(2717(a,1),5661(a,1,2))]. 5666 K(x,K(y \ 1,y) * z) = K(x,z). [para(2765(a,1),5661(a,1,2)),flip(a)]. 5668 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2780(a,1),5661(a,1,2)),flip(a)]. 5669 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(2809(a,1),5661(a,1,2))]. 5671 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(2867(a,1),5661(a,1,2))]. 5672 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2909(a,1),5661(a,1,2)),flip(a)]. 5673 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2848(a,1),5661(a,1,2))]. 5674 K(x,(1 / y) / z) = K(x,(y \ 1) / z). [para(3679(a,1),5661(a,1,2))]. 5675 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4541(a,2),5661(a,1,2))]. 5676 K(x,(1 / (1 / y)) * z) = K(x,y * z). [para(3338(a,1),5662(a,1,2))]. 5677 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4594(a,1),5662(a,1,2)),flip(a)]. 5678 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4603(a,2),5662(a,1,2))]. 5679 K(x,K(y,1 / y) * z) = K(x,z). [para(1972(a,2),5663(a,1,2,1))]. 5680 K(x,y * ((1 / y) * z)) = K(x,L(z,y \ 1,y)). [para(3194(a,1),5663(a,1,2))]. 5681 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(4575(a,2),5663(a,1,2))]. 5682 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4640(a,1),5663(a,1,2)),flip(a)]. 5683 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(4769(a,2),5663(a,1,2))]. 5684 K(x,T(y,y \ 1) \ z) = K(x,y \ z). [para(5217(a,1),5663(a,1,2)),flip(a)]. 5685 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3664(a,2),5666(a,1,2))]. 5686 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3654(a,1),5679(a,1,2))]. 5687 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4605(a,1),5679(a,1,2))]. 5688 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(5474,a,5659,a)]. 5689 K(x,(y \ 1) \ x) = K(x,y * x). [hyper(198,a,5504,a,b,5688,a)]. 5690 K(x,(1 / x) * y) * y = x * (y / x). [para(5671(a,2),5326(a,1,1))]. 5691 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2863(a,2),5673(a,1,2,1))]. 5692 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(198,a,2451,a(flip),b,5065,a),flip(a)]. 5693 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(198,a,4894,a(flip),b,5078,a),flip(a)]. 5694 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(66,a,5078,a,b,4940,a(flip))]. 5695 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5078(a,2),4867(a,2,1)),flip(a)]. 5696 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(5078(a,2),5034(a,2,2)),flip(a)]. 5697 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(5078(a,2),5106(a,1,1))]. 5698 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(65,a,5079,a,b,4894,a(flip))]. 5699 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5079(a,2),4154(a,1,1))]. 5700 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5079(a,2),4867(a,2,1)),flip(a)]. 5701 (T(x,y) * R(y,z,u)) / T(x,y) = R(K(y,x) \ y,z,u). [para(5126(a,1),5079(a,1,1)),flip(a)]. 5703 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(198,a,3093,a,b,5187,a)]. 5704 K((x / y) \ 1,z) = K(y / x,z). [hyper(198,a,4909,a(flip),b,5187,a(flip))]. 5706 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(791(a,1),5187(a,1,1))]. 5707 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [para(792(a,1),5187(a,1,1))]. 5709 K((x / y) \ 1,x) = K(x \ y,x). [hyper(198,a,5148,a(flip),b,5704,a)]. 5710 K(1 / (x / y),z) = K(y / x,z). [hyper(198,a,3093,a,b,5704,a(flip)),flip(a)]. 5711 K(x / (y * x),z) = K(y \ 1,z). [para(15(a,1),5704(a,1,1,1)),flip(a)]. 5712 K((x / (y * x)) \ 1,z) = K(y,z). [para(15(a,1),5704(a,2,1))]. 5713 K((x \ y) / y,z) = K(x \ 1,z). [para(57(a,1),5704(a,1,1,1)),flip(a)]. 5715 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(198,a,4327,a(flip),b,5709,a)]. 5716 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5710(a,1),5602(a,1))]. 5718 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5711(a,1),5160(a,1,2)),flip(a)]. 5721 K((x \ y) \ 1,(y \ x) \ z) = x \ (y * (((y \ x) \ z) \ z)). [para(107(a,1),5188(a,1,2,2)),flip(a)]. 5722 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(952(a,1),5188(a,1,2))]. 5723 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(792(a,1),5188(a,1,2))]. 5724 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1455(a,1),5188(a,1,2))]. 5725 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(1913(a,1),5188(a,1,2))]. 5726 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(810,a,5190,a),flip(a)]. 5727 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(653,a,5190,a),flip(a)]. 5728 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(150,a,4899,a,b,5190,a(flip))]. 5729 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(66,a,5190,a(flip),b,362,a)]. 5730 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(5190(a,2),19(a,1))]. 5731 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(4088(a,2),5190(a,2,2,1,1))]. 5732 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(198,a,5190,a(flip),b,5192,a)]. 5733 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(198,a,868,a(flip),b,5192,a)]. 5734 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),5192(a,2,2,1))]. 5736 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(198,a,5570,a,b,5228,a(flip)),flip(a)]. 5737 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5231(a,2),151(a,2)),flip(a)]. 5738 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3001,a,5251,a)]. 5739 x * T(x \ y,z) != y * u | K(1 / (y \ x),z) = u. [para(5263(a,2),19(a,1))]. 5740 (x * y) * T((x * y) \ y,z) = y * K(1 / T(x,y),z). [para(32(a,2),5263(a,2,2,1,2))]. 5741 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(66,a,3845,a,b,5345,a)]. 5742 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5357(a,1),38(a,1,1)),flip(a)]. 5743 L(((x * (1 / x)) \ 1) * y,x * (1 / x),x) = (x * (1 / x)) \ y. [hyper(198,a,3658,a,b,5360,a(flip)),flip(a)]. 5744 ((x \ 1) * x) \ (T(x,y) * z) = T(T(x,y),T(x,y) \ 1) * z. [para(3016(a,1),5371(a,1,1))]. 5747 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(221(a,1),5461(a,1,1,2)),flip(a)]. 5748 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(2030(a,1),5461(a,1,1,2))]. 5750 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3429(a,1),5461(a,1,1,2))]. 5751 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(198,a,5664,a,b,5748,a),flip(a)]. 5752 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(3642(a,1),5462(a,1,1)),flip(a)]. 5753 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3687(a,1),5462(a,1,1))]. 5754 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3755(a,1),5462(a,1,1,2))]. 5755 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5475(a,1),191(a,1,2)),flip(b)]. 5757 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5483(a,1),212(a,1,2)),flip(b)]. 5758 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4848(a,2),5483(a,1,2,1))]. 5759 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5190(a,2),5483(a,1,2,1))]. 5761 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5475(a,1),5484(a,1,1,1))]. 5762 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(5501(a,2),4037(a,1,2))]. 5763 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5311,a,5510,a)]. 5764 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(32(a,2),5510(a,1,2))]. 5765 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(198,a,2595,a(flip),b,5511,a),flip(a)]. 5766 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(5511(a,2),3653(a,1,1)),flip(a)]. 5767 (1 / x) \ (L(x,y,z) \ (K(1 / x,L(x,y,z)) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(4824(a,1),5542(a,2,1))]. 5768 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [para(952(a,1),5547(a,1,2))]. 5769 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [hyper(5311,a,5564,a)]. 5779 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(14(a,1),5571(a,1,1,1)),flip(a)]. 5780 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(5571(a,1),83(a,1,1)),flip(a)]. 5781 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(57(a,1),5572(a,1,2)),flip(a)]. 5782 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(108(a,1),5642(a,1,2,2,1)),flip(a)]. 5784 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2811(a,1),5675(a,1,2,2))]. 5785 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2762(a,1),5678(a,1,2,1))]. 5786 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(2868(a,1),5678(a,1,2,1))]. 5787 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(3755(a,1),5678(a,1,2,1))]. 5788 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4638(a,1),5678(a,1,2,1)),flip(a)]. 5789 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(1977(a,1),5681(a,1,2,2,1))]. 5790 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(2822(a,1),5681(a,1,2,2)),flip(a)]. 5791 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(2867(a,1),5683(a,1,2,1))]. 5792 K(x,(y / ((z \ 1) \ 1)) / u) = K(x,(y / z) / u). [para(2748(a,1),5685(a,1,2,1))]. 5794 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(2595(a,2),5687(a,1,2,2))]. 5795 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(5036(a,1),5692(a,1,1))]. 5796 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(875(a,1),5703(a,1,1)),flip(a)]. 5797 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(65,a,5417,a(flip),b,5736,a)]. 5800 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2612(a,1),5752(a,1,1,1))]. 5801 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(2868(a,1),5752(a,1,1,1))]. 5802 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4639(a,1),5752(a,1,1,1))]. 5803 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4739(a,1),5752(a,1,1,1))]. 5810 K(x,y / (z * (u / (1 / w)))) = K(x,y / (z * (u / (w \ 1)))). [para(4638(a,1),5789(a,1,2,2)),flip(a)]. 5813 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3741(a,1),4881(a,1,1,1)),flip(a)]. 5815 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3741(a,1),4926(a,1,2,1)),flip(a)]. 5817 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(198,a,4894,a(flip),b,5075,a)]. 5818 K(x * y,y) = K(y * x,y). [hyper(17,a,5650,a(flip),b,5817,a(flip))]. 5821 K((x \ 1) \ y,y) = K(x * y,y). [hyper(198,a,5446,a,b,5818,a),flip(a)]. 5822 K((1 / x) * y,y) = K(x \ y,y). [hyper(198,a,5444,a(flip),b,5818,a)]. 5823 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5818(a,2),5435(a,1,2))]. 5824 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5818(a,2),5614(a,1,1))]. 5825 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5818(a,1),5483(a,1,2,1,2))]. 5826 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5821(a,1),4924(a,2,2)),flip(a)]. 5827 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5085(a,2),4246(a,1,1))]. 5828 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5187(a,1),5173(a,1))]. 5829 K(x \ 1,y) != z | K(1 / x,y) = z. [para(55(a,1),5828(a,1,1,1))]. 5832 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5711(a,2),5829(a,1))]. 5835 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3635(a,2),5410(a,2,1,2))]. 5839 T(x,K(y,y \ 1)) != z | z = x. [para(5289(a,1),5414(a,1))]. 5840 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(3357(a,1),5839(a,1)),flip(b)]. 5842 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(107(a,2),5840(a,1,2))]. 5845 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(3097(a,1),5431(a,1,2))]. 5846 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(198,a,42,a,b,5480,a)]. 5847 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5509(a,1),5690(a,1,1))]. 5849 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(4894(a,2),5587(a,1,1))]. 5851 K(x,T(y * ((1 / y) * z),u)) = K(x,L(T(z,u),y \ 1,y)). [para(4501(a,2),5680(a,1,2))]. 5852 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4872(a,2),4911(a,1,1))]. 5854 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(198,a,4608,a(flip),b,5852,a(flip))]. 5856 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3500(a,1),5852(a,1,1)),flip(a)]. 5857 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(5643(a,1),5852(a,1,1)),flip(a)]. 5858 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(5854(a,2),4613(a,1,2))]. 5859 T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. [para(5854(a,1),4937(a,2,1))]. 5860 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(5859(a,2),5663(a,1,2))]. 5861 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(306(a,1),5856(a,1,2,1)),flip(a)]. 5862 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5856(a,1),5852(a,1,1)),flip(a)]. 5863 L(T(K(x,y \ z),u),y \ z,y) = T(K(x,(z \ y) \ 1),u). [para(5861(a,1),40(a,2,1))]. 5865 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(17,a,3845,a(flip),b,5010,a)]. 5866 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(5061(a,1),16(a,1,1))]. 5867 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5083(a,1),327(a,1,1))]. 5868 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(198,a,2512,a,b,5185,a(flip)),flip(a)]. 5870 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4873(a,1),5185(a,1,1))]. 5871 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(198,a,5576,a(flip),b,5870,a(flip))]. 5872 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(60(a,1),5870(a,1,1,1)),flip(a)]. 5873 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(103(a,1),5870(a,2,1,1))]. 5874 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3096(a,1),5870(a,1,1)),flip(a)]. 5875 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(677(a,1),5871(a,1,1,1))]. 5876 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5872(a,1),5870(a,1,1)),flip(a)]. 5877 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5874(a,1),5281(a,1,1)),flip(a)]. 5878 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4873(a,1),5186(a,1,1))]. 5879 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4920(a,1),5186(a,1,1))]. 5881 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1659(a,1),5878(a,1,1)),flip(a)]. 5882 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3096(a,1),5878(a,1,1)),flip(a)]. 5883 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(198,a,3093,a,b,5879,a)]. 5885 L(K(x,y),x,z / x) = K((z \ (z / x)) \ 1,y). [para(307(a,1),5882(a,1,1,1)),flip(a)]. 5886 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5882(a,1),5124(a,1,1)),flip(a)]. 5887 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(5882(a,1),5281(a,1,1)),flip(a)]. 5888 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(3094(a,1),5883(a,1,1)),flip(a)]. 5889 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(5888(a,1),5129(a,1,2)),flip(a)]. 5890 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(198,a,1460,a(flip),b,5198,a(flip)),flip(a)]. 5891 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(106(a,1),5198(a,1,2))]. 5892 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(809(a,1),5198(a,1,2))]. 5895 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3080(a,1),5205(a,1,1))]. 5896 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3309(a,1),5205(a,2,2,1))]. 5897 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(65,a,5206,a(flip),b,792,a)]. 5899 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(809(a,1),5206(a,1,2))]. 5900 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5205(a,2),5206(a,1,2))]. 5901 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5716,a,5241,a)]. 5903 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(3094(a,1),5264(a,2,1))]. 5904 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(71,a,5399,a)]. 5906 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1138(a,1),5465(a,1,1))]. 5907 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2151(a,1),5465(a,1,1))]. 5908 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4722(a,1),5549(a,1,2))]. 5909 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(57(a,1),5682(a,1,2,2,1)),flip(a)]. 5910 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(3220(a,2),5682(a,1,2,2))]. 5911 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(5036(a,2),5682(a,2,2,2)),flip(a)]. 5915 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(5036(a,1),5782(a,1,1,2))]. 5916 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5488(a,1),5782(a,1,1)),flip(a)]. 5917 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(151,a,5916,a)]. 5919 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4846(a,1),5791(a,1,2,1)),flip(a)]. 5920 K(x,(y / (1 / (1 / z))) / u) = K(x,(y / z) / u). [para(129(a,1),5792(a,1,2,1,2)),flip(a)]. 5921 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2880(a,1),5801(a,1,1,1)),flip(a)]. 5923 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(198,a,5856,a(flip),b,5886,a(flip))]. 5924 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(5923(a,1),254(a,1,2)),flip(b)]. 5925 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3080(a,1),5897(a,1,2,1)),flip(a)]. 5928 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(60(a,1),5900(a,1,2,1,1))]. 5929 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3096(a,1),5900(a,1,2,1))]. 5930 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(319(a,1),5904(a,1,2,2,1,2))]. 5932 T(x,y) / L(z,x / z,K(x,y)) = K(y,x) \ (x / z). [hyper(198,a,5281,a,b,5026,a)]. 5933 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5152(a,2),5125(a,1,2))]. 5934 (K(x,y) \ (z * u)) / L(u,z,K(y,x)) = K(x,y) \ z. [hyper(66,a,5281,a,b,5298,a)]. 5935 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(65,a,5281,a,b,5298,a)]. 5936 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5281(a,1),5299(a,1,1))]. 5937 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(198,a,4365,a(flip),b,5300,a(flip))]. 5938 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(141(a,1),5478(a,2,3))]. 5939 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(198,a,5555,a(flip),b,5482,a(flip))]. 5940 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(141(a,2),5580(a,1,2))]. 5941 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1919,a,5598,a)]. 5942 (x * y) \ T(x,y) = (y * x) \ x. [hyper(198,a,4434,a(flip),b,5941,a(flip)),flip(a)]. 5943 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(259,a,5942,a),flip(a)]. 5944 T(x,y) = (x * y) * ((y * x) \ x). [para(5942(a,1),14(a,1,2)),flip(a)]. 5945 T(x,y) / ((y * x) \ x) = x * y. [para(5942(a,1),57(a,1,2))]. 5946 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(169(a,1),5942(a,1,1))]. 5947 (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(5942(a,1),1615(a,1,1)),flip(a)]. 5948 T(x,y / x) / (y \ x) = x * (y / x). [para(16(a,1),5945(a,1,2,1))]. 5949 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(198,a,5398,a,b,5948,a)]. 5950 T(x,x \ y) / (y \ x) = x * (y / x). [para(4093(a,1),5948(a,1,1))]. 5951 (x * (y / x)) * (y \ x) = T(x,x \ y). [para(5950(a,1),16(a,1,1))]. 5953 (x \ y) \ T(y,y \ x) = y * (T(x,x \ y) / y). [hyper(65,a,5951,a(flip),b,4655,a)]. 5961 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(17,a,4787,a(flip),b,5693,a)]. 5962 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(198,a,4579,a,b,5961,a),flip(a)]. 5963 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(5961(a,2),2608(a,1,1))]. 5966 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(15(a,1),5847(a,2,2))]. 5967 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5057,a,5966,a),flip(a)]. 5969 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5868(a,1),618(a,1,2))]. 5970 T(x * (y / x),z) / L(y,K(x,x \ y),K(x * (y / x),z)) = K(z,x * (y / x)) \ ((x * (y / x)) / y). [para(5235(a,1),5932(a,1,2,2))]. 5971 L(x \ y,x,K(z,u)) = (K(u,z) \ x) \ (K(u,z) \ y). [para(14(a,1),5935(a,1,2,2)),flip(a)]. 5972 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). [para(92(a,1),5935(a,1,2,2))]. 5973 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(198,a,5878,a(flip),b,5963,a(flip)),flip(a)]. 5974 L(x \ (y * z),x,K(z,y)) = (K(y,z) \ x) \ (z * y). [para(5054(a,1),5971(a,2,2))]. 5975 L(x \ T(y,z),x,K(y,z)) = (K(z,y) \ x) \ T(T(y,z),z). [para(5122(a,1),5971(a,2,2))]. 5976 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(198,a,5962,a(flip),b,5973,a)]. 5978 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(5976(a,1),2748(a,1,1))]. 5979 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(5976(a,1),2655(a,1,1))]. 5980 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(198,a,2294,a(flip),b,5040,a)]. 5981 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3678,a,5980,a)]. 5982 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(4985(a,1),5101(a,1,2))]. 5983 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(198,a,4959,a(flip),b,5982,a)]. 5984 (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),5193(a,2,2))]. 5985 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(198,a,5732,a,b,5194,a(flip)),flip(a)]. 5986 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(66,a,5194,a(flip),b,5732,a),flip(a)]. 5987 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4873(a,1),5207(a,1,1,2))]. 5990 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(71,a,5987,a)]. 5991 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(66,a,79,a(flip),b,5987,a)]. 5992 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(66,a,5987,a(flip),b,102,a)]. 5995 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(5990(a,1),944(a,1,1)),flip(a)]. 5996 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(4879(a,1),5991(a,1,1)),flip(a)]. 5997 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(71,a,5996,a)]. 5998 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(198,a,3356,a,b,5997,a(flip)),flip(a)]. 5999 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(15(a,1),5998(a,1,2,2))]. 6000 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(198,a,5672,a(flip),b,5999,a(flip)),flip(a)]. 6001 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(198,a,4335,a(flip),b,6000,a(flip))]. 6002 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [para(6000(a,1),5156(a,1,2)),flip(a)]. 6003 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4900,a,6001,a)]. 6004 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(6001(a,1),5204(a,2,2))]. 6005 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(6001(a,2),5718(a,2,2))]. 6006 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(17,a,4873,a,b,6003,a)]. 6007 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(198,a,4199,a(flip),b,6006,a)]. 6008 T((x / y) \ 1,y * (x / y)) = T((x / y) \ 1,x). [para(16(a,1),6006(a,2,2))]. 6009 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(6006(a,1),1917(a,1,2,1,1))]. 6010 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(6006(a,2),1917(a,1,1))]. 6012 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),6007(a,1,2))]. 6013 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(198,a,2834,a(flip),b,6002,a(flip))]. 6014 x * K(y,x * (y \ 1)) = y * (x / y). [para(3096(a,1),6013(a,1,2))]. 6015 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(17,a,5156,a,b,6014,a)]. 6016 (1 / x) * (y / (1 / x)) = y * K(1 / x,y * x). [para(60(a,1),6014(a,1,2,2,2)),flip(a)]. 6017 x * K(y,x * (1 / y)) = y * (x / y). [para(5656(a,2),6014(a,1,2))]. 6018 K(x,y * (1 / x)) = K(x,x \ y). [hyper(198,a,5656,a,b,6015,a(flip)),flip(a)]. 6019 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6018(a,1),5129(a,1,2)),flip(a)]. 6020 (x / y) * z != x * K(y,x * (1 / y)) | T(y,x / y) = z. [para(6017(a,2),151(a,2))]. 6021 K(x * (1 / y),y) = K(y \ x,y). [hyper(198,a,5129,a(flip),b,6019,a)]. 6022 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(198,a,4329,a,b,6021,a),flip(a)]. 6023 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [hyper(198,a,4327,a(flip),b,6021,a)]. 6024 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(57(a,1),6021(a,1,1,2)),flip(a)]. 6025 x * K(x * (1 / y),y) = (y \ x) * y. [para(6021(a,2),222(a,1,2))]. 6026 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(198,a,5454,a(flip),b,6022,a)]. 6027 K(T(x,1 / y) / y,y) = K(x / y,y). [para(899(a,1),6023(a,1,1))]. 6028 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(57(a,1),6025(a,1,2,1,2)),flip(a)]. 6029 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(5454(a,1),6025(a,1,2)),flip(a)]. 6030 K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). [para(2789(a,1),6027(a,2,1))]. 6031 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [hyper(379,a,6016,a)]. 6032 K(x * y,1 / y) = K(y * x,1 / y). [hyper(198,a,5556,a(flip),b,6026,a(flip))]. 6033 K((x \ y) * x,1 / x) = K(y,1 / x). [para(14(a,1),6032(a,2,1))]. 6034 K(x / (1 / y),1 / y) = K(x * y,1 / y). [hyper(5356,a,6029,a)]. 6035 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(4264,a,5277,a(flip)),flip(a)]. 6036 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(4265,a,5278,a(flip)),flip(a)]. 6038 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(14(a,1),5466(a,1,2,1))]. 6039 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5466(a,1),2149(a,1,1)),flip(a)]. 6041 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(5387(a,1),5540(a,1,2)),flip(a)]. 6042 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(792(a,1),5548(a,1,2,2))]. 6043 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1455(a,1),5548(a,1,2,2))]. 6044 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(5075(a,2),5548(a,2,2))]. 6045 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5139(a,1),5557(a,1,1,1)),flip(a)]. 6046 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(2986(a,1),5585(a,1,1))]. 6047 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3767(a,1),5724(a,1,2)),flip(a)]. 6048 K(1 / T(x,y),z) = T(K(1 / x,z),y). [hyper(150,a,5264,a(flip),b,5740,a(flip)),flip(a)]. 6049 K(1 / T(x \ 1,y),z) = T(K(x,z),y). [para(57(a,1),6048(a,2,1,1))]. 6050 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [hyper(5602,a,6049,a)]. 6051 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(2420(a,1),6049(a,1,1))]. 6052 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(2423(a,1),6049(a,1,1))]. 6053 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6049(a,1),5879(a,1,1)),flip(a)]. 6054 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(6050(a,1),5129(a,1,2)),flip(a)]. 6055 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6052(a,1),5878(a,1,1)),flip(a)]. 6056 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(198,a,5643,a(flip),b,6054,a(flip))]. 6057 T(K(x,y),z) * T(K(y,x),z) = 1. [para(6056(a,1),16(a,1,1))]. 6058 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6056(a,1),60(a,1,1))]. 6059 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(6056(a,1),4870(a,2,1)),flip(a)]. 6060 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(6058(a,1),172(a,1,2)),flip(a)]. 6061 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(6058(a,1),4871(a,2,2)),flip(a)]. 6062 K(K(x,y),z) = K(z,K(y,x)). [hyper(5415,a,6059,a)]. 6063 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(6059(a,1),5415(a,1))]. 6064 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5306,a,6062,a)]. 6065 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(6062(a,1),4924(a,2,2)),flip(a)]. 6066 x * K(K(y,z),x) = T(x,K(z,y)). [para(6062(a,2),4924(a,2,2)),flip(a)]. 6067 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(6062(a,1),4937(a,2,1)),flip(a)]. 6068 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(6062(a,1),5145(a,1,1))]. 6069 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(6062(a,1),4944(a,1,1))]. 6070 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5073,a,6066,a)]. 6071 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(198,a,4941,a(flip),b,6066,a(flip))]. 6072 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(6066(a,1),4939(a,1,1))]. 6073 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(6066(a,1),5072(a,1,1))]. 6074 T(K(x,y),K(z,y)) = K(x,y). [para(1799(a,1),6070(a,1,1))]. 6075 T(K(x,y),K(x,z)) = K(x,y). [para(1801(a,1),6070(a,1,1))]. 6076 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(65,a,6074,a(flip),b,5289,a)]. 6077 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(6074(a,1),106(a,1,2))]. 6079 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(6075(a,1),106(a,1,2))]. 6080 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(6075(a,1),215(a,1,2))]. 6084 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(198,a,4945,a,b,6076,a(flip)),flip(a)]. 6085 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(4950,a,6079,a)]. 6086 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6079(a,1),5146(a,2,1,1))]. 6087 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5124(a,1),6068(a,1))]. 6088 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(5142(a,2),6087(a,1))]. 6089 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(198,a,5068,a,b,6084,a(flip)),flip(a)]. 6090 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6084(a,1),3902(a,2,3))]. 6091 ((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(6089(a,1),93(a,1,2,2,1))]. 6094 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(5766(a,1),5794(a,1,2,2))]. 6095 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4711(a,1),5768(a,1,2))]. 6096 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(107(a,2),5781(a,1,2,2,1))]. 6097 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3650(a,1),5802(a,1,1,1,2))]. 6098 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(5813(a,2),190(a,1))]. 6099 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(198,a,49,a(flip),b,5815,a)]. 6101 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5755,a,5825,a),flip(a)]. 6102 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5856(a,1),5887(a,1,1)),flip(a)]. 6103 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(198,a,1804,a(flip),b,6102,a)]. 6104 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(191,a,6102,a)]. 6105 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6102(a,2),74(a,1)),flip(b)]. 6106 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6104(a,1),19(a,1)),flip(a)]. 6107 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6104(a,1),191(a,1,2)),flip(b)]. 6109 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(198,a,5260,a(flip),b,5890,a(flip))]. 6110 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5190(a,1),5890(a,1,1))]. 6111 K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. [hyper(66,a,6109,a(flip),b,5892,a)]. 6112 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(60(a,1),5892(a,1,2,2,1,2)),flip(a)]. 6113 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6111(a,1),127(a,1,2,1))]. 6114 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6113(a,1),1739(a,2,2,1))]. 6116 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(5423,a,5895,a),flip(a)]. 6117 K(((x \ 1) / (y / x)) \ 1,z) \ (T(y,z) / x) = y / x. [para(5901(a,2),60(a,1,1))]. 6119 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),5915(a,2,2,2,1))]. 6121 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(198,a,5897,a(flip),b,5925,a)]. 6122 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(66,a,5981,a(flip),b,2566,a)]. 6129 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(6046(a,1),424(a,1))]. 6130 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(6053(a,1),5281(a,1,1)),flip(a)]. 6131 x / (y * ((z \ (y \ x)) * z)) != u | K(z,x / (z * y)) = u. [para(6095(a,2),5561(a,1))]. 6132 K(x,((y \ 1) / (z / y)) \ 1) \ (z / y) = T(z,x) / y. [hyper(65,a,6117,a(flip),b,5281,a(flip))]. 6133 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(198,a,1923,a,b,5044,a(flip)),flip(a)]. 6134 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(1301(a,1),5107(a,2,1,1))]. 6135 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(5275(a,1),5288(a,1,2))]. 6136 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5275(a,1),5296(a,1,2))]. 6137 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3524(a,1),5411(a,1,1,1))]. 6139 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4873(a,1),5600(a,1,1))]. 6141 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(4873(a,1),5601(a,1,1))]. 6142 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4859(a,1),5635(a,1,1)),flip(a)]. 6143 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(198,a,40,a,b,6142,a)]. 6144 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(6143(a,1),44(a,1,1)),flip(a)]. 6145 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(198,a,154,a(flip),b,5780,a)]. 6146 a(x * K(y,x),y,z) = a(x,T(y,x),z). [para(4894(a,1),6145(a,1,1))]. 6147 L(T(K(x,y \ z),u),y \ z,y) = K(x,T(z \ y,u) \ 1). [hyper(198,a,5638,a,b,5863,a)]. 6148 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(198,a,5858,a(flip),b,5865,a(flip))]. 6150 R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). [para(6148(a,1),440(a,1,1))]. 6151 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5709(a,1),5873(a,1,1))]. 6152 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(16(a,1),6151(a,2,1,1,2))]. 6153 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(3981(a,1),5975(a,1,1,2))]. 6154 K(x,y / (x / (z \ 1))) != u | K(x,y / (x * z)) = u. [para(5908(a,1),6131(a,1))]. 6155 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(198,a,4537,a(flip),b,6137,a)]. 6156 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1558,a,6150,a)]. 6157 (L(x,y,z) \ x) * L(x,y,z) = x. [para(6156(a,1),16(a,1,1))]. 6158 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6156(a,1),60(a,1,1))]. 6159 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6152(a,2),5828(a,1))]. 6161 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(5049(a,1),5611(a,1))]. 6162 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1687,a,5074,a),flip(a)]. 6163 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4983(a,1),5102(a,1,2)),flip(a)]. 6164 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1606(a,1),6163(a,2,2))]. 6165 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(4931(a,1),5136(a,1,2))]. 6166 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(198,a,6085,a(flip),b,5405,a)]. 6167 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6166(a,1),3247(a,1,2))]. 6168 (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). [para(809(a,1),5447(a,1,1,2))]. 6169 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5231(a,1),5447(a,1,1,2)),flip(a)]. 6170 T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). [para(38(a,1),5499(a,1,1))]. 6171 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1486(a,1),5707(a,1,1))]. 6172 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(106(a,1),5726(a,2,2))]. 6173 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(198,a,1764,a(flip),b,5731,a(flip))]. 6174 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(6173(a,1),19(a,1))]. 6175 ((x \ 1) * x) \ (T(x,y) * z) = ((T(x,y) \ 1) \ 1) * z. [hyper(198,a,230,a(flip),b,5744,a)]. 6176 K(x,y / (K((z \ 1) \ u,z \ 1) \ u)) = K(x,y / ((z \ 1) * (u / (1 / z)))). [para(5324(a,2),5810(a,2,2,2)),flip(a)]. 6177 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(516(a,1),5876(a,1,1,1)),flip(a)]. 6178 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(760(a,1),5907(a,1,1,1))]. 6179 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(60(a,1),5928(a,2,1,1))]. 6180 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),6179(a,1,2,2)),flip(a)]. 6182 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(66,a,6180,a,b,xx)]. 6183 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(65,a,6180,a,b,106,a)]. 6186 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3096(a,1),5929(a,2,1))]. 6188 K(x,y) * ((x \ 1) \ T(y,x)) = (x \ 1) \ y. [hyper(65,a,4886,a(flip),b,6186,a),flip(a)]. 6189 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),6186(a,1,2,2)),flip(a)]. 6190 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),6186(a,1,2,2))]. 6191 K(T(x,y),y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(4076(a,1),6188(a,1,2,2))]. 6192 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(106(a,1),6189(a,2,2))]. 6193 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6189(a,2),168(a,1,2))]. 6194 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6189(a,1),5288(a,1,2))]. 6195 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5291(a,1),6194(a,1,2,2))]. 6196 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(6195(a,1),16(a,1,1))]. 6197 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5367,a,6193,a),flip(a)]. 6198 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5291(a,1),6197(a,1,1)),flip(a)]. 6199 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4232(a,1),6035(a,1,2))]. 6200 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4232(a,1),6036(a,1,2))]. 6201 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(198,a,5722,a(flip),b,6047,a)]. 6202 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(2892(a,1),6094(a,1,2,2,1)),flip(a)]. 6203 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(271,a,6110,a)]. 6204 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(198,a,5890,a,b,6112,a(flip)),flip(a)]. 6205 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [hyper(198,a,5801,a(flip),b,6112,a(flip)),flip(a)]. 6206 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5150(a,1),6162(a,1,2)),flip(a)]. 6207 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(198,a,5062,a(flip),b,6206,a)]. 6208 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),6207(a,1,1,1)),flip(a)]. 6209 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(198,a,6061,a(flip),b,6165,a)]. 6210 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6167(a,1),3715(a,1,1)),flip(a)]. 6211 K(x,y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(5143(a,1),6191(a,1,1))]. 6212 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(14(a,1),6205(a,2,2,2,1))]. 6213 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5291(a,1),5354(a,1,2,2)),flip(a)]. 6214 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5608,a,6028,a)]. 6215 L(((x \ 1) * x) * y,x * (1 / x),x) = (x * (1 / x)) \ y. [para(5328(a,1),5743(a,1,1,1))]. 6218 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(198,a,288,a(flip),b,5881,a)]. 6220 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1038(a,1),6218(a,1,2))]. 6221 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(37,a,6220,a)]. 6222 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(35,a,6221,a)]. 6223 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1040(a,2),6222(a,1,1))]. 6224 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6223(a,1),4037(a,1,2)),flip(a)]. 6225 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(198,a,2483,a(flip),b,6224,a)]. 6226 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1040(a,1),6225(a,1,1))]. 6227 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(4797(a,2),6039(a,1,2))]. 6228 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4249(a,1),6208(a,1,1)),flip(a)]. 6229 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(198,a,3963,a(flip),b,6228,a)]. 6230 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(18,a,5089,a,b,6229,a)]. 6231 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(198,a,5442,a,b,6230,a)]. 6232 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4236(a,1),6231(a,1,2))]. 6233 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(6232(a,1),60(a,1,1))]. 6234 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5442(a,1),6233(a,1,1))]. 6235 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4894(a,2),6234(a,1,1,2))]. 6236 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(217,a,6227,a)]. 6237 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3844(a,1),6236(a,1,2)),flip(a)]. 6243 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3500(a,1),6237(a,1,1,2))]. 6244 (x * K(y,z)) * y = x * T(y,z). [para(3352(a,1),6243(a,2,2))]. 6245 R(x,K(y,z),y) = x. [hyper(5029,a,6244,a)]. 6246 x * T(y * K(x,z),x) = y * T(x,z). [hyper(216,a,6244,a)]. 6248 x \ (y * T(x,z)) = T(y * K(x,z),x). [hyper(150,a,6244,a,b,14,a),flip(a)]. 6249 (x * T(y,z)) / y = x * K(y,z). [hyper(77,a,6244,a)]. 6250 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(71,a,6244,a)]. 6251 (1 / x) * K(x,y) = K(x,y) / x. [hyper(66,a,4916,a,b,6244,a),flip(a)]. 6253 (x / T(y,z)) * K(y,z) = x / y. [hyper(66,a,16,a(flip),b,6244,a),flip(a)]. 6254 ((x * y) * K(L(z,y,x),u)) \ (x * (y * T(z,u))) = L(z,y,x). [hyper(65,a,396,a(flip),b,6244,a)]. 6256 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,1280,a,b,6244,a),flip(a)]. 6257 (x * y) * K(y,z) = x * T(y,z). [hyper(18,a,1275,a,b,6244,a)]. 6258 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(18,a,4342,a(flip),b,6244,a)]. 6259 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6244(a,1),24(a,2,1,2)),flip(a)]. 6260 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6244(a,1),140(a,2,1))]. 6263 (x * (y * K(z,u))) \ (x * (y * T(z,u))) != w | L(z,y * K(z,u),x) = w. [para(6244(a,1),400(a,1,2,2))]. 6264 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [para(3307(a,1),6244(a,1,1))]. 6266 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4885(a,1),6244(a,1,1))]. 6267 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6244(a,1),5823(a,1,2,1))]. 6269 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(65,a,6249,a(flip),b,1283,a(flip))]. 6270 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6249(a,1),208(a,1,1)),flip(b)]. 6271 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(6249(a,1),327(a,1,1))]. 6272 L(x,K(x,y),z) = x. [hyper(5028,a,6250,a)]. 6273 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(198,a,5933,a(flip),b,6272,a(flip)),flip(a)]. 6274 L(T(x,y),K(x,z),u) = T(x,y). [para(6272(a,1),40(a,2,1))]. 6275 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6272(a,1),398(a,1,2,1))]. 6277 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6272(a,1),4796(a,1,1,2)),flip(a)]. 6280 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6274(a,1),45(a,1,1)),flip(a)]. 6282 T(x,y * (1 / x)) = T(x,y / x). [hyper(6020,a,6256,a),flip(a)]. 6283 x * T(x \ y,z) = y * K(x \ y,z). [hyper(485,a,6256,a)]. 6284 (K(x,y) / z) * T(z,u) = K(y,x) \ K(z,u). [hyper(198,a,5281,a,b,6256,a)]. 6285 T(x,(x / y) / x) = T(x,1 / y). [hyper(150,a,5398,a(flip),b,6256,a)]. 6286 (K(x,y) / z) \ (K(y,x) \ K(z,u)) = T(z,u). [hyper(65,a,5281,a,b,6256,a)]. 6290 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(65,a,6256,a(flip),b,6244,a)]. 6293 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6256(a,1),820(a,1,2,1))]. 6295 R(x,y,K(y,z)) = x. [hyper(5008,a,6257,a)]. 6296 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(198,a,6244,a,b,6257,a),flip(a)]. 6299 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(150,a,6257,a,b,14,a),flip(a)]. 6300 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(71,a,6257,a)]. 6301 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(65,a,16,a(flip),b,6257,a)]. 6303 L(K(x,y),x,z) = K(x,y). [hyper(17,a,5003,a,b,6257,a),flip(a)]. 6304 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(6257(a,2),19(a,1))]. 6306 ((x * (y * z)) * K(z,u)) / (y * T(z,u)) = R(x,y * z,K(z,u)). [para(6257(a,1),30(a,2,2)),flip(a)]. 6309 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6257(a,1),484(a,1))]. 6311 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6257(a,1),455(a,1,2))]. 6312 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6257(a,1),426(a,1,1))]. 6314 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4891(a,1),6257(a,1,1)),flip(a)]. 6320 L(K(x,y),x,z) = L(K(x,y),x,u). [hyper(198,a,6303,a,b,6303,a)]. 6321 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(198,a,5124,a,b,6303,a)]. 6323 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(6303(a,1),44(a,1,1)),flip(a)]. 6325 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6303(a,1),465(a,1,2,1))]. 6327 L(K(x,y),x,z) \ u = T(x,y) \ (x * u). [para(6303(a,2),5212(a,2,1)),flip(a)]. 6328 L(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(6303(a,2),5716(a,1))]. 6331 L(K(x,y),x,z) != u | K(x,y) = u. [para(6321(a,2),5145(a,1))]. 6332 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(71,a,6258,a),flip(a)]. 6333 x * K(y,z) != y \ z | y \ T(z,y) = x. [para(6258(a,1),20(a,1)),flip(a)]. 6334 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6269(a,1),5741(a,1,2))]. 6335 T(x,(y / (1 / x)) / x) = T(x,y). [para(16(a,1),6282(a,1,2)),flip(a)]. 6336 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6285(a,1),5949(a,1,1))]. 6337 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6300(a,1),212(a,1,2)),flip(b)]. 6343 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(4947(a,1),6300(a,1,1))]. 6344 L(K(x,y),x,z) = K((u \ (u / x)) \ 1,y). [hyper(198,a,5885,a(flip),b,6320,a)]. 6354 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(198,a,5835,a,b,6264,a(flip)),flip(a)]. 6356 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6273(a,1),14(a,1,2))]. 6357 x / (y * K(z,y)) = (x / y) * K(y,z). [para(6273(a,1),263(a,1,2))]. 6358 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6273(a,1),1675(a,1,1)),flip(a)]. 6359 K(1 / (x \ y),z) = K(y \ x,z). [hyper(5739,a,6283,a)]. 6360 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5737,a,6283,a),flip(a)]. 6361 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(5730,a,6283,a)]. 6362 K(x / y,z) * x = x * K(y \ x,z). [hyper(5525,a,6283,a)]. 6363 T(K(x / y,z),x) = K(y \ x,z). [hyper(5448,a,6283,a)]. 6364 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(4719,a,6283,a),flip(a)]. 6365 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(893,a,6283,a)]. 6367 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(65,a,1455,a(flip),b,6283,a(flip))]. 6372 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6283(a,2),191(a,1,2)),flip(b)]. 6374 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6283(a,2),93(a,1,2,2)),flip(a)]. 6375 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6283(a,1),900(a,1,1))]. 6376 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6283(a,1),1764(a,2,1))]. 6380 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(6283(a,1),4719(a,1))]. 6381 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(6158(a,1),6283(a,2,2,1))]. 6382 K(x \ y,z) != u | K((y \ x) \ 1,z) = u. [para(6359(a,1),5602(a,1))]. 6383 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6359(a,1),5879(a,1,1)),flip(a)]. 6384 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6359(a,1),6016(a,2,2))]. 6385 K((x \ y) \ y,y) = K(x,y). [hyper(198,a,2977,a(flip),b,6360,a)]. 6386 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(6360(a,2),137(a,1)),flip(b)]. 6387 K(T(x,x \ y),z) = T(K(x,z),y). [para(107(a,2),6360(a,1,1))]. 6389 K(x / y,x) = K(y \ x,x). [para(60(a,1),6385(a,1,1,1)),flip(a)]. 6390 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [hyper(198,a,2284,a(flip),b,6361,a)]. 6391 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(198,a,601,a(flip),b,6361,a)]. 6392 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(198,a,6201,a(flip),b,6361,a(flip)),flip(a)]. 6393 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(32(a,2),6361(a,1,1,1))]. 6394 K(x \ (x / y),z) = K(y \ 1,z). [para(60(a,1),6361(a,1,1,1)),flip(a)]. 6395 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(94(a,2),6361(a,1,1,1))]. 6398 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6361(a,1),4887(a,2,1))]. 6399 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(6361(a,1),5124(a,1,1)),flip(a)]. 6400 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5281(a,1),6361(a,1,1,1))]. 6401 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(6361(a,1),5431(a,1,2))]. 6402 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6361(a,1),6172(a,1,2))]. 6403 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(198,a,3024,a(flip),b,6363,a(flip)),flip(a)]. 6406 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(65,a,6391,a(flip),b,4873,a),flip(a)]. 6408 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6391(a,1),5012(a,1,2))]. 6425 K(T(x \ y,y \ x),z) != u | K(x \ y,z) = u. [para(2280(a,2),6386(a,1,1))]. 6428 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5503,a,6356,a)]. 6431 x / ((y * z) / y) = (x / z) * K(z,y). [para(4894(a,2),6357(a,1,2))]. 6432 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4941(a,1),6357(a,1,2)),flip(a)]. 6433 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(5071(a,2),6357(a,1,2))]. 6434 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(198,a,6050,a(flip),b,6393,a(flip))]. 6435 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(198,a,4887,a,b,6398,a)]. 6436 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6398(a,2),4904(a,1))]. 6439 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),6435(a,1,2,1)),flip(a)]. 6440 T(x,((y * z) \ y) \ 1) = T(x,z). [para(13(a,1),6435(a,2,2))]. 6442 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(32(a,2),6435(a,1,2,1))]. 6443 T(x,y \ (y / z)) = T(x,z \ 1). [para(60(a,1),6435(a,1,2,1)),flip(a)]. 6444 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [para(6435(a,1),106(a,1,2))]. 6445 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6435(a,1),344(a,1))]. 6446 T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). [para(6435(a,1),4198(a,1,1))]. 6447 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(344,a,6439,a),flip(a)]. 6448 T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). [para(2735(a,2),6439(a,1,2))]. 6450 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(140(a,2),6440(a,1,2,1))]. 6452 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(6440(a,1),3355(a,1,2))]. 6453 T(T(x \ (x / y),z),y \ 1) = T(x \ (x / y),z). [hyper(691,a,6443,a),flip(a)]. 6455 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(198,a,5124,a(flip),b,6399,a)]. 6456 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6399(a,2),5145(a,1))]. 6457 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5623,a,6455,a)]. 6459 T(K(x,y / z),y) = K(x,z \ y). [hyper(198,a,5917,a,b,6455,a(flip)),flip(a)]. 6461 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),6455(a,2,2))]. 6462 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),6455(a,1,2,1)),flip(a)]. 6463 K(x,y \ (y / z)) = K(x,z \ 1). [para(60(a,1),6455(a,1,2,1)),flip(a)]. 6464 K(x,(y \ (y / z)) \ 1) = K(x,z). [para(60(a,1),6455(a,2,2))]. 6465 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(94(a,2),6455(a,1,2,1))]. 6466 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(350(a,1),6455(a,1,2,1)),flip(a)]. 6467 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(694(a,1),6455(a,1,2,1)),flip(a)]. 6470 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5281(a,1),6455(a,1,2,1))]. 6471 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6455(a,1),5852(a,1,1)),flip(a)]. 6472 T(x \ y,z) * T(x,x \ y) = K(z,(y \ x) \ 1) \ y. [para(6455(a,2),5253(a,2,1))]. 6473 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6455(a,1),5782(a,2,2))]. 6474 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(28(a,2),6457(a,1,2,2)),flip(a)]. 6475 K(x,y \ z) != u | K(x,(z \ y) \ 1) = u. [para(6457(a,1),5268(a,1))]. 6476 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6457(a,1),6029(a,2,2))]. 6477 K(x,(y \ z) \ z) = T(K(x,y),z). [para(57(a,1),6459(a,1,1,2)),flip(a)]. 6479 T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. [para(6459(a,1),4167(a,1,2))]. 6481 K(x,K(y,z \ x)) != u | K(x,K(y,x / z)) = u. [para(6459(a,1),5140(a,1,2))]. 6483 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(198,a,6024,a,b,6461,a(flip)),flip(a)]. 6484 K(x,y \ (y / z)) = K(x,u / (z * u)). [hyper(198,a,5491,a,b,6463,a)]. 6486 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(6477(a,2),137(a,1)),flip(b)]. 6487 K(x,T(y,y \ z)) = T(K(x,y),z). [para(107(a,2),6477(a,1,2))]. 6488 K(x,T(y,z / y)) = T(K(x,y),z). [para(4129(a,2),6477(a,1,2))]. 6489 T(K(x,y),z * y) = K(x,T(y,z)). [para(4116(a,2),6477(a,1,2)),flip(a)]. 6490 T(K(x,y),y * z) = K(x,T(y,z)). [para(13(a,1),6487(a,1,2,2)),flip(a)]. 6491 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(198,a,6489,a,b,6490,a),flip(a)]. 6492 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6490(a,1),106(a,1,2))]. 6493 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6490(a,1),6061(a,1,2))]. 6494 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(2116(a,2),6486(a,1,2))]. 6495 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2280(a,2),6486(a,1,2))]. 6497 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(198,a,5083,a(flip),b,6428,a(flip)),flip(a)]. 6498 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(198,a,1465,a(flip),b,6428,a(flip)),flip(a)]. 6502 K(x,1 / ((y * (1 / z)) / y)) = K(x,z * K(1 / z,y)). [para(6431(a,2),5676(a,1,2))]. 6503 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(140(a,2),6447(a,2,1)),flip(a)]. 6504 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(5497(a,2),6484(a,2,2))]. 6505 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6491(a,2),5142(a,1,1))]. 6506 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4848(a,2),6497(a,1,1,2))]. 6507 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(4941(a,1),6497(a,1,1,2))]. 6508 (x * ((y * z) / y)) * K(z,y) = x * z. [para(15(a,1),6498(a,1,1)),flip(a)]. 6510 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(14(a,1),6508(a,1,1,2,1))]. 6511 x * K(y,z) != u * y | u * ((z * y) / z) = x. [para(6508(a,1),20(a,1)),flip(a)]. 6515 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [para(6323(a,1),387(a,1,2)),flip(a)]. 6517 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(102(a,1),6337(a,1,1))]. 6518 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(4940(a,2),6337(a,1,1))]. 6519 L(K(x,y),x,z) \ (u \ (u / x)) = T(1 / (u \ (u / x)),y) \ 1. [para(6344(a,2),5196(a,2,1)),flip(a)]. 6522 L(K(x \ y,z),x \ y,u) != w | K((y \ x) \ 1,z) = w. [para(6303(a,2),6382(a,1))]. 6523 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(32(a,2),6436(a,1,2,1))]. 6524 T(x,L(y,y \ 1,z)) = T(x,y). [para(60(a,1),6448(a,2,2))]. 6525 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(32(a,2),6456(a,1,2,1))]. 6526 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(94(a,2),6456(a,1,2,1))]. 6527 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3506(a,2),6456(a,1))]. 6528 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5281(a,1),6456(a,1,2,1))]. 6529 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(5917(a,2),6456(a,1))]. 6532 L(x \ 1,x,y) \ y = T(y * x,1 / x). [hyper(198,a,3351,a,b,6503,a)]. 6533 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(6503(a,1),57(a,1,2))]. 6534 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6503(a,1),4025(a,1,2,2))]. 6536 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3125(a,1),6529(a,1))]. 6537 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4727(a,1),6533(a,1,2))]. 6538 (K(x,y) / z) \ (K(y,x) \ K(z,u)) != w | T(z,u) = w. [para(6284(a,1),191(a,1,2)),flip(b)]. 6539 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(198,a,5274,a(flip),b,6299,a(flip))]. 6540 T(x * y,K(y,z)) / y = T((y * x) / y,T(y,z)). [hyper(66,a,6539,a,b,363,a)]. 6541 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(16(a,1),6539(a,1,1)),flip(a)]. 6542 T(T(x,y) * y,K((x * y) / x,z)) = ((x * y) / x) * T(x,T((x * y) / x,z)). [para(3925(a,2),6539(a,1,1))]. 6543 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4714,a,6365,a)]. 6544 (T(x,y) / z) / K((z \ 1) \ (x / z),y) = x / z. [hyper(4664,a,6365,a)]. 6545 (x / y) * K((y \ 1) \ (x / y),z) = T(x,z) / y. [hyper(4662,a,6365,a),flip(a)]. 6546 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6365(a,1),14(a,1,2))]. 6547 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(6365(a,2),19(a,1))]. 6548 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6365(a,1),4677(a,1,1))]. 6550 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6400(a,1),6051(a,2,1))]. 6552 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [hyper(198,a,2595,a,b,6433,a),flip(a)]. 6553 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(198,a,5564,a(flip),b,6492,a)]. 6556 x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. [para(6510(a,1),20(a,1)),flip(a)]. 6557 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(6361(a,2),6546(a,1,2,2))]. 6558 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(6552(a,1),4604(a,1,1)),flip(a)]. 6559 L(x * y,K(y * x,z),u) = x * y. [para(13(a,1),6277(a,2,1))]. 6560 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6559(a,1),92(a,1,2))]. 6561 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6280(a,1),217(a,1,2))]. 6563 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(792(a,1),6372(a,1,2))]. 6564 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1195(a,1),6372(a,1,2))]. 6565 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5188(a,1),6372(a,1))]. 6566 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(32(a,2),6565(a,1,1,1))]. 6567 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(94(a,2),6565(a,1,1,1))]. 6568 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5728(a,2),6565(a,1))]. 6570 K(x / y,x) != z | K(y \ x,x) = z. [para(2977(a,1),6568(a,1))]. 6573 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4698,a,6314,a(flip))]. 6574 x * K((y \ 1) \ (y \ z),u) != y \ T(z,u) | y \ z = x. [para(6364(a,1),20(a,1)),flip(a)]. 6575 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(6364(a,1),3985(a,1,2,2)),flip(a)]. 6576 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4838(a,1),6367(a,1,2))]. 6577 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(5587,a,6375,a)]. 6578 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6565,a,6392,a),flip(a)]. 6580 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(140(a,2),6406(a,1,1,1))]. 6584 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2887(a,1),6471(a,1,2,1)),flip(a)]. 6585 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6088,a,6505,a),flip(a)]. 6586 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6087,a,6585,a),flip(a)]. 6587 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5748(a,1),6543(a,2,2))]. 6588 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5124(a,1),6557(a,1,2,2,1,1,2))]. 6589 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(198,a,6383,a(flip),b,6395,a(flip)),flip(a)]. 6590 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(198,a,5747,a(flip),b,6589,a)]. 6591 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),6589(a,2,1,1))]. 6592 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),6589(a,2,1,2))]. 6593 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(60(a,1),6589(a,1,1,1)),flip(a)]. 6594 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(106(a,1),6589(a,2,1,2))]. 6595 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(94(a,2),6589(a,2,1))]. 6596 K(L(x \ 1,x,y),z) != u | K(x \ 1,z) = u. [para(6595(a,1),286(a,1)),flip(b)]. 6597 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2887(a,1),6595(a,2,1))]. 6598 K((x * y) \ x,z) != u | K(y \ 1,z) = u. [para(140(a,1),6596(a,1,1))]. 6601 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(24(a,2),6591(a,2,1))]. 6602 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(6591(a,1),92(a,1,2))]. 6603 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(96(a,2),6593(a,1,1))]. 6604 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(198,a,28,a(flip),b,6603,a)]. 6605 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),6603(a,1,1,2)),flip(a)]. 6606 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(6603(a,1),5124(a,1,1)),flip(a)]. 6607 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6605(a,1),453(a,1,2))]. 6608 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(198,a,5923,a(flip),b,6606,a)]. 6609 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6606(a,2),6105(a,1))]. 6610 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6608(a,1,2,2)),flip(a)]. 6611 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(57(a,1),6608(a,1,2,2)),flip(a)]. 6612 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4647,a,6610,a),flip(a)]. 6613 T(x,K(y,L(x,z,u))) = x. [para(6610(a,1),3023(a,1,2))]. 6614 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [hyper(4054,a,6611,a)]. 6615 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(94(a,1),6611(a,2,2))]. 6616 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(196(a,1),6611(a,2,2))]. 6617 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(406(a,1),6611(a,2,2))]. 6618 L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). [para(2887(a,1),6611(a,2,2))]. 6619 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(5023(a,1),6614(a,1,2))]. 6620 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [hyper(4647,a,6597,a),flip(a)]. 6621 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [hyper(198,a,5458,a(flip),b,6597,a)]. 6622 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(57(a,1),6620(a,1,1,1)),flip(a)]. 6623 (x * (y * z)) / K(L(y,z,x),z) != u * w | u \ (x * (z * y)) = w. [para(6607(a,2),486(a,1))]. 6624 K(x,L(y,z,u)) != w | L(K(x,y),z * y,u) = w. [para(15(a,1),6609(a,1,2,2))]. 6625 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(57(a,1),6609(a,1,2,2))]. 6626 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(96(a,1),6609(a,1,2))]. 6627 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(405(a,1),6612(a,1,2)),flip(a)]. 6628 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6331,a,6615,a),flip(a)]. 6629 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6615(a,1),6331(a,1))]. 6630 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(14(a,1),6628(a,1,2,1)),flip(a)]. 6631 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(14(a,1),6628(a,1,2,2))]. 6632 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6628(a,1),4924(a,2,2))]. 6633 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5291(a,1),6628(a,1,2,1)),flip(a)]. 6634 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6012(a,2),6630(a,1,2,1))]. 6635 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(198,a,4924,a,b,6632,a)]. 6636 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),6635(a,1,2,1)),flip(a)]. 6637 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(198,a,6591,a(flip),b,6617,a(flip))]. 6638 K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). [hyper(198,a,5582,a(flip),b,6617,a(flip)),flip(a)]. 6639 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6617(a,1),40(a,2,1))]. 6640 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6617(a,1),92(a,1,2))]. 6641 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(6617(a,1),6331(a,1))]. 6642 L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). [hyper(198,a,5671,a(flip),b,6618,a)]. 6643 ((x \ 1) * y) \ T((x \ 1) * y,z) = L(K(x \ y,z),y,x \ 1). [hyper(198,a,4872,a(flip),b,6621,a),flip(a)]. 6644 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(337(a,2),6474(a,1,2))]. 6645 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1659(a,1),6580(a,2,2))]. 6646 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(198,a,5786,a(flip),b,6584,a)]. 6647 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(198,a,3546,a(flip),b,6592,a(flip))]. 6648 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6592(a,1),386(a,1,2)),flip(a)]. 6649 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(198,a,5063,a,b,6647,a(flip)),flip(a)]. 6650 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6649(a,1),4784(a,2,1))]. 6651 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(6604(a,2),400(a,1))]. 6652 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5281(a,1),6616(a,1,1,2))]. 6653 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(94(a,1),6625(a,1,2))]. 6654 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(196(a,1),6625(a,1,2))]. 6655 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(60(a,1),6646(a,1,1,2)),flip(a)]. 6656 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(60(a,1),6336(a,1,2)),flip(a)]. 6657 K(x \ R(x,y,z),x) != (x \ 1) * u | T(x,R(x \ 1,w,v5)) = u. [para(6354(a,2),19(a,1))]. 6658 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(65,a,6376,a(flip),b,6283,a(flip))]. 6659 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(60(a,1),6658(a,1,2,1,2,1)),flip(a)]. 6660 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2208(a,2),6467(a,1,2))]. 6661 K(x,((y / z) \ y) \ 1) \ (y / z) = T(y \ (y / z),x) * T(y,z \ 1). [para(4968(a,1),6472(a,1,2)),flip(a)]. 6662 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4981(a,1),6550(a,1,1,1)),flip(a)]. 6663 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6662(a,1),106(a,1,2)),flip(a)]. 6664 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(6558(a,1),5687(a,1,2))]. 6665 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(65,a,6622,a(flip),b,2295,a)]. 6666 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6260(a,2),5096(a,1))]. 6667 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(6636(a,1),6401(a,1,1))]. 6668 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(416(a,2),6462(a,1,2))]. 6669 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(198,a,6450,a(flip),b,6534,a)]. 6671 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(16(a,1),6669(a,1,2,2,1))]. 6672 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(198,a,108,a(flip),b,6671,a)]. 6673 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(6672(a,1),176(a,1,2))]. 6674 T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3352(a,1),6673(a,2,2))]. 6675 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(60(a,1),6537(a,1,2,2)),flip(a)]. 6676 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6564,a,6576,a),flip(a)]. 6677 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6576(a,1),6564(a,1))]. 6678 K((x / y) \ 1,x) != z | K(x \ y,x) = z. [para(6676(a,2),6565(a,1))]. 6679 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6676(a,1),6592(a,1,1))]. 6680 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(198,a,3519,a,b,6644,a(flip)),flip(a)]. 6682 L(K(x,y \ z),z,u) != w | K(x,(u * y) \ (u * z)) = w. [para(6471(a,1),6526(a,1))]. 6684 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6573(a,1),6560(a,2,2))]. 6685 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(6383(a,1),6567(a,1))]. 6686 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5190(a,2),6588(a,1,2))]. 6687 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5727(a,1),6588(a,1,2)),flip(a)]. 6688 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6602(a,1),19(a,1)),flip(a)]. 6689 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(48(a,1),6637(a,2,1))]. 6690 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(1111(a,1),6637(a,2,1))]. 6691 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6640(a,1),19(a,1)),flip(a)]. 6692 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6650(a,1),5908(a,1,2)),flip(a)]. 6693 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3352(a,1),6674(a,1,1))]. 6694 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(198,a,5291,a(flip),b,6684,a)]. 6695 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(18,a,5866,a,b,6694,a),flip(a)]. 6696 K(x,y) \ K(y * x,z) = (x * y) \ T(y * x,z). [hyper(198,a,5281,a,b,6695,a),flip(a)]. 6697 (x * y) * (K(y,x) * K(y * x,z)) = T(y * x,z). [para(6695(a,1),14(a,1,2))]. 6698 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(71,a,6686,a)]. 6699 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6686(a,1),19(a,1))]. 6700 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(4768,a,6687,a)]. 6701 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6687(a,2),19(a,1))]. 6703 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(6700(a,2),4526(a,1,2))]. 6704 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(198,a,5288,a(flip),b,6692,a)]. 6705 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(6154,a,6704,a)]. 6707 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6698(a,1),4676(a,1,1))]. 6708 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),6707(a,1,1,2,1)),flip(a)]. 6709 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6708(a,2),20(a,1))]. 6710 T(1 / (x \ (x / y)),z) \ 1 = K(y,z) \ (x \ (x / y)). [para(281(a,1),6519(a,1,1)),flip(a)]. 6711 L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. [para(6643(a,1),5002(a,1))]. 6712 K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. [para(6597(a,1),6711(a,1))]. 6713 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(6119(a,2),6652(a,2,2,1))]. 6714 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6663(a,2),6652(a,2,2,1))]. 6715 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(198,a,6592,a(flip),b,6679,a(flip))]. 6716 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),6715(a,2,1,1))]. 6717 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(57(a,1),6716(a,1,1,1,2))]. 6718 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4328(a,1),4857(a,2,2))]. 6720 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5383(a,1),5060(a,1,2))]. 6721 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5123(a,1),5441(a,2,2))]. 6722 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5139(a,1),6721(a,1,2))]. 6723 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5466(a,1),5470(a,1,1))]. 6726 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3500(a,1),6723(a,1,1,2)),flip(a)]. 6727 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3500(a,1),6726(a,1,2)),flip(a)]. 6728 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6182(a,1),5706(a,2,1,1))]. 6729 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(198,a,5759,a(flip),b,5725,a(flip))]. 6730 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(198,a,6361,a(flip),b,6729,a)]. 6731 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6565,a,6730,a)]. 6732 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6731(a,1),5129(a,1,2)),flip(a)]. 6733 x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. [para(6731(a,1),4883(a,1,2))]. 6734 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(198,a,5129,a(flip),b,6732,a)]. 6735 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),5906(a,1,1,2,2,1))]. 6736 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(198,a,5488,a(flip),b,6735,a)]. 6737 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6735(a,2),5561(a,1))]. 6738 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6736(a,1),443(a,1,1))]. 6739 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(4722(a,1),6043(a,1,2,2))]. 6740 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(5857(a,1),6130(a,1,1)),flip(a)]. 6741 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2888(a,1),6740(a,1,1)),flip(a)]. 6742 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2888(a,1),6741(a,1,1)),flip(a)]. 6743 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6133(a,1),14(a,1,2))]. 6744 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(198,a,44,a(flip),b,6144,a)]. 6745 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4871(a,2),6164(a,1,2)),flip(a)]. 6746 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(198,a,4962,a(flip),b,6745,a)]. 6747 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3180(a,1),6746(a,1,2))]. 6748 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(6747(a,1),60(a,1,1))]. 6749 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(4045(a,1),6177(a,1,1)),flip(a)]. 6750 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5828,a,6749,a)]. 6752 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(60(a,1),6750(a,1,1,2,1)),flip(a)]. 6753 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(100(a,2),6750(a,1,1))]. 6754 K(R(x,x \ 1,y),z) = K(x,z). [hyper(198,a,296,a(flip),b,6753,a)]. 6755 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),6753(a,1,1,2)),flip(a)]. 6756 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6753(a,2),102(a,1,1))]. 6757 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4222(a,1),6753(a,1,1,2))]. 6758 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(198,a,5967,a(flip),b,6754,a)]. 6759 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(198,a,3688,a(flip),b,6755,a(flip))]. 6760 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6755(a,1),46(a,1,1)),flip(a)]. 6761 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(198,a,3624,a,b,6759,a(flip)),flip(a)]. 6762 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(65,a,6759,a(flip),b,3624,a)]. 6764 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(17,a,3693,a,b,6761,a),flip(a)]. 6765 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(6762(a,1),4572(a,1,1)),flip(a)]. 6766 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(71,a,6764,a)]. 6767 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(198,a,4751,a(flip),b,6766,a(flip)),flip(a)]. 6768 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(198,a,4750,a(flip),b,6766,a(flip)),flip(a)]. 6769 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6767(a,1),5688(a,1,2,1))]. 6771 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),6752(a,2,1,2))]. 6772 K((x * y) / z,x) = K(x / (z / y),x). [hyper(198,a,5576,a(flip),b,6771,a(flip))]. 6773 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(198,a,6389,a(flip),b,6772,a)]. 6774 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(6772(a,2),6570(a,1))]. 6776 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5242(a,1),6178(a,1,1,1)),flip(a)]. 6777 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(198,a,4651,a(flip),b,6776,a)]. 6778 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(5561,a,6777,a)]. 6779 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4400(a,1),6778(a,1,2))]. 6780 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(198,a,6659,a,b,6779,a),flip(a)]. 6781 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(680,a,6183,a)]. 6782 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6781(a,1),6055(a,1,1,1)),flip(a)]. 6783 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(198,a,6052,a(flip),b,6782,a)]. 6784 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(6783(a,1),664(a,1,2,1)),flip(a)]. 6785 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(28(a,2),6601(a,1,1,1,1))]. 6786 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4944(a,1),6720(a,1,2,2)),flip(a)]. 6787 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4538(a,2),4828(a,1,2,2))]. 6788 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4869(a,2),4907(a,1,1,3))]. 6789 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(5578(a,1),6788(a,1,1)),flip(a)]. 6790 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5219(a,2),6789(a,1,2))]. 6792 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(5100,a,5084,a)]. 6793 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5084(a,1),685(a,2,1)),flip(a)]. 6794 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(5084(a,1),861(a,1,1,1))]. 6795 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5485,a,6793,a)]. 6796 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(5475(a,1),6793(a,1,1))]. 6797 (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(6792(a,1),1685(a,1,1,2)),flip(a)]. 6798 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5086(a,1),861(a,1,1,1))]. 6799 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(809(a,1),5208(a,1,2))]. 6800 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(746(a,2),5337(a,1,2,2,1))]. 6802 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2543(a,2),5978(a,2,2))]. 6803 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(198,a,106,a(flip),b,5979,a)]. 6805 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1443(a,1),5992(a,1,2))]. 6806 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(2896(a,1),6202(a,1,2,2,1)),flip(a)]. 6807 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5655(a,1),6806(a,1,2,2,1)),flip(a)]. 6808 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6374(a,2),6563(a,1))]. 6809 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [hyper(595,a,6381,a)]. 6810 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(40(a,2),6809(a,1,1))]. 6811 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(71,a,6810,a)]. 6812 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(1575(a,1),6811(a,1,1))]. 6813 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3842(a,1),6675(a,2,2))]. 6814 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(198,a,3848,a(flip),b,6813,a(flip))]. 6815 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3352(a,1),6814(a,1,2,2)),flip(a)]. 6816 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3352(a,1),6815(a,1,1,1)),flip(a)]. 6817 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(6816(a,1),60(a,1,1))]. 6818 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(108(a,1),6817(a,1,1,1,1))]. 6819 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(108(a,1),6818(a,2,2))]. 6820 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(4538(a,2),6787(a,1,2))]. 6821 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1904(a,1),6800(a,1,2))]. 6822 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(198,a,6803,a(flip),b,6802,a(flip))]. 6823 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(6822(a,1),60(a,1,1))]. 6824 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(6805(a,1),434(a,1))]. 6825 L(x,K(y,y \ 1),z) = x. [hyper(3712,a,6820,a)]. 6829 L(x,y * (1 / y),z) = x. [para(1975(a,1),6825(a,1,2))]. 6832 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(198,a,6610,a(flip),b,6829,a(flip)),flip(a)]. 6833 (x * (y * (1 / y))) \ z = (y * (1 / y)) \ (x \ z). [hyper(198,a,196,a(flip),b,6829,a(flip)),flip(a)]. 6834 ((x \ 1) * x) \ ((x * (1 / x)) \ y) = y. [hyper(65,a,6215,a(flip),b,6829,a(flip))]. 6835 ((x \ 1) * x) \ y = (x * (1 / x)) * y. [para(13(a,1),6834(a,1,2))]. 6836 ((x \ 1) * x) \ y = y * (x * (1 / x)). [hyper(198,a,4699,a(flip),b,6835,a)]. 6837 (x * (1 / x)) \ (((x \ 1) * x) \ y) = y. [hyper(65,a,6835,a,b,xx)]. 6838 ((x * (1 / x)) \ y) \ z = y \ (((x \ 1) * x) \ z). [para(6835(a,2),3655(a,2,2))]. 6839 (((x \ 1) * x) \ y) \ z = y \ ((x * (1 / x)) \ z). [para(6835(a,2),3656(a,1,1))]. 6840 (((x \ 1) * x) \ y) / z = (x * (1 / x)) * (y / z). [para(6835(a,2),3657(a,1,1))]. 6841 (((x \ 1) * x) \ y) / z = y / ((x * (1 / x)) \ z). [para(6836(a,2),4703(a,1,1))]. 6844 (((x \ 1) * x) \ y) \ z = (x * (1 / x)) \ (y \ z). [para(6836(a,2),6833(a,1,1))]. 6845 (x * y) \ ((x * (1 / x)) \ z) = (T(x,x \ 1) * y) \ z. [para(5371(a,1),6839(a,1,1)),flip(a)]. 6846 (((x \ 1) * x) \ y) / z = ((x \ 1) * x) \ (y / z). [hyper(198,a,6835,a,b,6840,a)]. 6847 (x * (1 / x)) \ (y \ z) = y \ ((x * (1 / x)) \ z). [hyper(198,a,6839,a(flip),b,6844,a(flip))]. 6848 (x * (1 / x)) \ (y \ 1) = y \ ((x \ 1) * x). [para(5328(a,1),6847(a,2,2))]. 6849 ((x \ 1) * x) \ (y \ ((x * (1 / x)) \ z)) = y \ z. [para(6847(a,1),6834(a,1,2))]. 6850 (x \ 1) \ (((y \ 1) * y) \ z) = (x \ ((y \ 1) * y)) \ z. [para(6848(a,1),6838(a,1,1)),flip(a)]. 6851 ((x \ 1) * x) \ (y \ (x * z)) = y \ (T(x,x \ 1) * z). [para(5321(a,1),6849(a,1,2,2))]. 6852 ((x \ 1) * x) \ (y \ z) = y \ (((x \ 1) * x) \ z). [para(6837(a,1),6849(a,1,2,2))]. 6853 x \ (((y \ 1) * y) \ (x * z)) = ((y \ 1) * y) \ z. [para(13(a,1),6852(a,1,2)),flip(a)]. 6854 ((x \ 1) * x) \ (y * z) = y * (((x \ 1) * x) \ z). [para(6853(a,1),14(a,1,2)),flip(a)]. 6855 ((x \ 1) * x) \ (y * ((x \ 1) * z)) = y * L(x \ z,x,x \ 1). [para(94(a,2),6854(a,2,2))]. 6856 ((x \ 1) * x) \ (y * x) = y * T(x,x \ 1). [para(828(a,1),6854(a,2,2))]. 6857 (x * (1 / x)) \ (y * T(x,x \ 1)) = y * x. [hyper(65,a,6856,a(flip),b,6835,a(flip))]. 6859 (x * y) / ((y * (1 / y)) \ z) = (x * T(y,y \ 1)) / z. [para(6856(a,1),6841(a,1,1)),flip(a)]. 6860 ((x \ 1) * x) \ ((y * x) / z) = (y * T(x,x \ 1)) / z. [para(6856(a,1),6846(a,1,1)),flip(a)]. 6861 (x / ((y \ 1) \ 1)) * y = (y * (1 / y)) \ x. [para(591(a,1),6857(a,1,2)),flip(a)]. 6862 (T(x \ (x / y),(x \ (x / y)) \ 1) * T(x,y \ 1)) \ z = (x / y) \ (((x \ (x / y)) * (1 / (x \ (x / y)))) \ z). [para(5330(a,1),6845(a,1,1)),flip(a)]. 6863 ((x \ 1) * x) \ ((y \ 1) \ z) = (y \ ((x \ 1) * x)) \ z. [hyper(198,a,6852,a,b,6850,a(flip)),flip(a)]. 6864 T(x,(y * T(z,z \ 1)) / u) = T(x,(y * z) / u). [para(6860(a,1),4636(a,1,2))]. 6865 ((x \ 1) * x) \ (y * ((x \ 1) * z)) = y * ((1 / x) * z). [para(2887(a,1),6855(a,2,2))]. 6866 ((T(x,y) \ 1) \ 1) * ((x \ 1) * z) = T(x,y) * ((1 / x) * z). [hyper(198,a,6175,a(flip),b,6865,a(flip)),flip(a)]. 6870 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(65,a,4969,a(flip),b,4901,a),flip(a)]. 6871 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(3500(a,1),5529(a,1,2,2))]. 6872 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5151(a,1),5574(a,1,1))]. 6873 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(6041(a,1),5910(a,1,2,2,2))]. 6874 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(106(a,1),6042(a,1,2,2,2))]. 6875 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(6076(a,1),6086(a,1,2))]. 6876 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3378(a,1),6090(a,1,3))]. 6877 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(60(a,1),6203(a,1,1,1,1,2)),flip(a)]. 6878 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6361(a,1),6877(a,1,2))]. 6879 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3702,a,b,6878,a),flip(a)]. 6880 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5748(a,1),6878(a,1,2))]. 6881 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(57(a,1),6879(a,2,1,2))]. 6882 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(198,a,3593,a,b,6881,a(flip)),flip(a)]. 6883 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3426(a,1),6882(a,1,1,2))]. 6884 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3746,a,6883,a),flip(a)]. 6885 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(107(a,2),6884(a,1,2,2))]. 6886 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(198,a,5751,a(flip),b,6885,a(flip))]. 6887 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(198,a,6627,a(flip),b,6886,a(flip))]. 6888 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(198,a,6879,a,b,6887,a(flip)),flip(a)]. 6889 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(875(a,1),6204(a,1,1))]. 6890 (1 / x) * ((x \ y) \ T((x \ y) * x,z)) = (x \ T(y,z)) * ((x \ y) \ 1). [para(4653(a,1),6889(a,1,1)),flip(a)]. 6891 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6257(a,1),6312(a,1,2)),flip(a)]. 6892 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(198,a,30,a,b,6891,a)]. 6893 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6891(a,2),434(a,1))]. 6894 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(198,a,46,a,b,6892,a(flip)),flip(a)]. 6895 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(198,a,6461,a(flip),b,6483,a(flip)),flip(a)]. 6897 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5803(a,1),6587(a,2,2))]. 6898 T(x \ (x / y),z) * T(x,y \ 1) = K(z,y \ 1) \ (x / y). [para(60(a,1),6661(a,1,1,2,1)),flip(a)]. 6899 K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). [hyper(198,a,6874,a(flip),b,6739,a(flip))]. 6900 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(168(a,1),6739(a,1,2))]. 6901 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4715(a,1),6890(a,1,2)),flip(a)]. 6902 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(198,a,5087,a,b,6901,a),flip(a)]. 6903 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(13(a,1),6902(a,2,2,1)),flip(a)]. 6904 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5281(a,1),6903(a,1,2))]. 6905 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(6779(a,2),6904(a,1,1))]. 6906 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(12(a,1),6905(a,1,2))]. 6907 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(198,a,6880,a(flip),b,6897,a)]. 6908 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(217,a,4800,a),flip(a)]. 6909 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(198,a,4978,a(flip),b,5099,a)]. 6910 ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. [para(6909(a,1),191(a,1,2)),flip(b)]. 6911 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5468(a,1),5471(a,2,1))]. 6912 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(18,a,102,a,b,6911,a),flip(a)]. 6913 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(18,a,4047,a(flip),b,6911,a)]. 6914 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(18,a,3643,a(flip),b,6911,a)]. 6915 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),6913(a,1,2,1))]. 6916 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6914(a,2),5410(a,2,1,2))]. 6918 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3500(a,1),6912(a,1,1)),flip(a)]. 6919 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5488(a,1),6912(a,1,1)),flip(a)]. 6920 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6455(a,1),6912(a,1,1)),flip(a)]. 6921 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6918(a,1),4924(a,2,2))]. 6922 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6918(a,1),5877(a,1,1)),flip(a)]. 6923 R(x,R(K(y,z),u,w),y) = x. [para(6918(a,1),6245(a,1,2))]. 6924 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(6923(a,1),102(a,1,1)),flip(a)]. 6925 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(3310,a,6922,a)]. 6926 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(545,a,6922,a)]. 6927 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(507,a,6922,a)]. 6928 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(476,a,6922,a)]. 6929 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(191,a,6922,a)]. 6930 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(198,a,5408,a(flip),b,6922,a(flip))]. 6931 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(198,a,421,a(flip),b,6925,a(flip))]. 6934 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(3308(a,1),6926(a,1,2,1))]. 6935 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(4852(a,1),6926(a,1,2,1))]. 6936 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(5624,a,6919,a),flip(a)]. 6937 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(536(a,1),6919(a,1,2)),flip(a)]. 6938 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),6936(a,2,2,1))]. 6939 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),6936(a,2,2,2))]. 6940 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(57(a,1),6936(a,1,1,2)),flip(a)]. 6941 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5336(a,1),6939(a,1,1))]. 6942 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(100(a,2),6940(a,1,2))]. 6943 R(K(x,y),T(y,z),u) = K(x,y). [para(3921(a,1),6940(a,1,2)),flip(a)]. 6944 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [hyper(65,a,6943,a(flip),b,172,a)]. 6945 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(5181,a,6942,a)]. 6946 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),6942(a,1,2,2)),flip(a)]. 6947 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(128(a,1),6942(a,1,2,2)),flip(a)]. 6948 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(6141,a,6946,a)]. 6949 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(4046,a,6946,a),flip(a)]. 6950 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6946(a,1),42(a,2,1))]. 6951 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6946(a,1),5536(a,1,1))]. 6952 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(5223(a,1),6944(a,1,1))]. 6953 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(4046,a,6941,a),flip(a)]. 6954 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(198,a,5488,a,b,6941,a)]. 6955 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6941(a,1),4046(a,1))]. 6957 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1537(a,1),6953(a,1,2)),flip(a)]. 6958 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(5115(a,1),6945(a,2,1))]. 6959 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(450(a,1),6915(a,1,2,1)),flip(a)]. 6960 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(198,a,270,a(flip),b,6935,a(flip))]. 6961 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6954(a,1),42(a,2,1))]. 6962 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(198,a,6264,a(flip),b,6916,a)]. 6963 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3104(a,1),6924(a,2,2))]. 6964 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4817(a,1),6957(a,1,2,1))]. 6965 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(6657,a,6962,a)]. 6966 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(3810,a,6965,a),flip(a)]. 6967 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6966(a,1),1115(a,1,2))]. 6968 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(198,a,231,a(flip),b,6967,a(flip)),flip(a)]. 6970 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(198,a,6765,a(flip),b,6968,a(flip)),flip(a)]. 6971 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(150,a,6970,a,b,1110,a)]. 6972 x / R(x,y,z) = R(x,y,z) \ x. [hyper(198,a,1682,a(flip),b,6970,a(flip)),flip(a)]. 6974 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(22,a,6972,a)]. 6975 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6972(a,1),16(a,1,1))]. 6976 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6972(a,2),6769(a,1,2,1))]. 6977 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6972(a,1),6936(a,1,1,2))]. 6978 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6975(a,1),4653(a,1,1,1))]. 6979 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5032,a,6978,a)]. 6980 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(198,a,6630,a(flip),b,6964,a(flip)),flip(a)]. 6981 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1180(a,1),6980(a,1,2)),flip(a)]. 6982 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(198,a,6927,a,b,6931,a(flip)),flip(a)]. 6983 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(65,a,6943,a(flip),b,6931,a(flip)),flip(a)]. 6984 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5515(a,1),6983(a,1,1))]. 6985 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(198,a,5768,a(flip),b,6960,a)]. 6986 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [para(6985(a,1),423(a,1,1)),flip(a)]. 6987 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6949(a,1),6947(a,1,1))]. 6988 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [hyper(198,a,6473,a(flip),b,6986,a)]. 6989 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [para(4947(a,1),6988(a,1,1))]. 6990 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(198,a,6755,a(flip),b,6987,a(flip))]. 6991 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6990(a,1),5288(a,1,2,1)),flip(a)]. 6992 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6991(a,2),5296(a,1))]. 6994 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5165,a,5969,a),flip(a)]. 6995 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1682(a,1),6994(a,1,1))]. 6996 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(198,a,6971,a(flip),b,6995,a)]. 6997 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [hyper(198,a,6974,a(flip),b,6996,a(flip)),flip(a)]. 6998 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(150,a,6997,a,b,14,a)]. 7000 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(198,a,6768,a(flip),b,6998,a)]. 7001 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,7000,a)]. 7002 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(7001(a,1),4984(a,1,1,1))]. 7003 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(7002(a,1),1882(a,1,1)),flip(a)]. 7004 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(6058(a,1),6060(a,1,3)),flip(a)]. 7005 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7004(a,1),20(a,1))]. 7006 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(13(a,1),6794(a,2,1,1))]. 7007 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),6798(a,2,1,1))]. 7008 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(198,a,5488,a(flip),b,6959,a)]. 7009 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(198,a,6919,a(flip),b,7008,a(flip)),flip(a)]. 7010 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5336(a,1),7009(a,1,1))]. 7011 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(198,a,6755,a(flip),b,7010,a(flip))]. 7012 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),7011(a,1,2,1,1)),flip(a)]. 7013 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(5568(a,1),7011(a,1,2,1))]. 7014 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(198,a,6753,a(flip),b,7012,a(flip))]. 7015 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(145(a,1),4697(a,1,1)),flip(a)]. 7017 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(4865(a,2),7015(a,1,1,2,2)),flip(a)]. 7018 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(4865(a,2),7017(a,1,2)),flip(a)]. 7020 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(18,a,6296,a,b,7018,a)]. 7021 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(7020(a,1),14(a,1,2))]. 7022 (x * y) * K(x,z) = x * (y * K(x,z)). [para(13(a,1),7021(a,1,2,1)),flip(a)]. 7023 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(6691,a,7022,a),flip(a)]. 7024 R(x,y,K(x,z)) = x. [hyper(424,a,7022,a)]. 7025 L(K(x,y),z,x) = K(x,y). [hyper(390,a,7022,a)]. 7026 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7022(a,1),6244(a,1,1))]. 7027 R(T(x,y),z,K(x,u)) = T(x,y). [para(7024(a,1),42(a,2,1))]. 7028 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7024(a,1),46(a,1,1)),flip(a)]. 7029 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7024(a,1),428(a,1,1,1)),flip(a)]. 7030 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7024(a,1),429(a,1,1,1)),flip(a)]. 7031 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(7024(a,1),430(a,1,1,1)),flip(a)]. 7032 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7024(a,1),6756(a,1,1,1)),flip(a)]. 7033 R(x,y,T(x,z)) = R(x,y,x). [para(7024(a,1),6894(a,1,1)),flip(a)]. 7034 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(198,a,13,a,b,7025,a)]. 7035 a(x,y,K(x,z)) = 1. [hyper(34,a,7025,a)]. 7036 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(198,a,6616,a(flip),b,7025,a(flip)),flip(a)]. 7037 K(x,L(y,z,x)) = K(x,y). [hyper(198,a,6610,a(flip),b,7025,a(flip)),flip(a)]. 7038 K(L(x,y,x),z) = K(x,z). [hyper(198,a,6605,a(flip),b,7025,a(flip)),flip(a)]. 7039 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [hyper(65,a,7025,a(flip),b,4384,a),flip(a)]. 7040 (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). [hyper(65,a,7025,a(flip),b,2880,a)]. 7042 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),7037(a,1,2))]. 7043 K(x,(x \ 1) \ y) = K(x,x * y). [para(405(a,1),7037(a,1,2)),flip(a)]. 7044 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(669(a,1),7037(a,1,2)),flip(a)]. 7045 T(x,L(y,z,x)) = K(x,y) * x. [para(7037(a,1),4937(a,2,1))]. 7046 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(6213(a,1),7037(a,1,2))]. 7047 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7037(a,1),6605(a,1,1)),flip(a)]. 7048 K(R(x,y,x),z) = K(x,z). [para(4473(a,1),7038(a,1,1)),flip(a)]. 7049 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7038(a,1),5016(a,1,1))]. 7050 R(K(x,y),z,x) = K(x,y). [hyper(198,a,6753,a(flip),b,7048,a(flip)),flip(a)]. 7051 x * K(R(x,y,x),z) = T(x,z). [para(7048(a,2),4924(a,2,2)),flip(a)]. 7052 K(x,R(y,z,y)) = 1 / K(y,x). [para(7048(a,1),5129(a,1,2)),flip(a)]. 7054 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7048(a,1),5275(a,1,1))]. 7055 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7048(a,1),6756(a,1,1)),flip(a)]. 7056 K(x,R(y,z,x)) = K(x,y). [hyper(198,a,6946,a(flip),b,7050,a(flip)),flip(a)]. 7057 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(198,a,6939,a(flip),b,7050,a(flip)),flip(a)]. 7059 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7050(a,1),5536(a,1,1)),flip(a)]. 7060 T(x,R(y,z,x)) = x * K(x,y). [para(7056(a,1),4924(a,2,2))]. 7063 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(108(a,1),7033(a,1,3)),flip(a)]. 7068 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7027(a,1),6894(a,1,1)),flip(a)]. 7069 T(x,L(y,z,x)) = T(x,y). [hyper(198,a,4937,a,b,7045,a)]. 7070 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(196(a,1),7069(a,1,2))]. 7071 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(406(a,1),7069(a,1,2)),flip(a)]. 7072 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(65,a,7051,a(flip),b,6821,a),flip(a)]. 7073 K(x,R(y,z,y)) = K(x,y). [hyper(198,a,5129,a(flip),b,7052,a)]. 7074 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7052(a,2),5131(a,1))]. 7075 R(K(x,y),z,y) = K(x,y). [hyper(198,a,6958,a(flip),b,7073,a(flip)),flip(a)]. 7076 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4269(a,1),7073(a,1,2)),flip(a)]. 7077 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4288(a,1),7073(a,1,2))]. 7078 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7073(a,1),5651(a,1,2)),flip(a)]. 7080 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7075(a,1),102(a,1,1)),flip(a)]. 7081 T(x,R(y,z,x)) = T(x,y). [hyper(198,a,4924,a,b,7060,a)]. 7084 T(x,(y * x) / z) = T(x,y / (z / x)). [para(443(a,1),7081(a,1,2))]. 7085 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(675(a,1),7081(a,1,2))]. 7091 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4288(a,1),7074(a,1,2))]. 7092 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1749(a,1),7076(a,1,2)),flip(a)]. 7093 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4248(a,2),7076(a,1,2))]. 7094 K(x,T(y,z)) = T(K(x,y),z). [hyper(198,a,6487,a(flip),b,7077,a(flip))]. 7095 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(107(a,1),7077(a,1,2))]. 7096 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(198,a,6961,a,b,7094,a),flip(a)]. 7097 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(198,a,6950,a,b,7094,a),flip(a)]. 7098 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(198,a,6639,a,b,7094,a),flip(a)]. 7099 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(198,a,6360,a,b,7094,a),flip(a)]. 7100 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(198,a,6067,a,b,7094,a),flip(a)]. 7101 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(198,a,6065,a,b,7094,a),flip(a)]. 7102 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(198,a,6051,a,b,7094,a),flip(a)]. 7103 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(198,a,5638,a,b,7094,a),flip(a)]. 7104 K(x,T(y / z,y)) = K(x,z \ y). [hyper(198,a,6459,a(flip),b,7094,a)]. 7105 K(x / y,T(z,x)) = K(y \ x,z). [hyper(198,a,6363,a(flip),b,7094,a)]. 7106 K(x,T(y,K(x,z))) = K(x,y). [hyper(198,a,6075,a(flip),b,7094,a)]. 7107 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(198,a,3125,a(flip),b,7094,a)]. 7108 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,7094,a)]. 7109 T(K(x,y),y \ z) = T(K(x,y),z). [hyper(198,a,6487,a(flip),b,7094,a(flip))]. 7110 T(K(x * y,x),y) = K(x * y,x). [hyper(198,a,5334,a(flip),b,7094,a(flip))]. 7111 T(T(K(x,y),z),u) = T(K(x,T(y,u)),z). [para(7094(a,2),38(a,1,1)),flip(a)]. 7112 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),7094(a,1,2))]. 7113 x * K(y,T(z,x)) = K(y,z) * x. [para(7094(a,2),106(a,1,2))]. 7115 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(7094(a,2),161(a,1,2,1))]. 7117 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7094(a,2),551(a,1,2,2))]. 7118 x * T(K(x,y),z) = T(x,T(y,z)). [para(7094(a,1),4924(a,2,2)),flip(a)]. 7119 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(7094(a,1),4927(a,1,2))]. 7121 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7094(a,2),5758(a,1,1))]. 7122 K(x,T(y,z)) * T(K(y,x),z) = 1. [para(7094(a,2),6057(a,1,1))]. 7123 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7094(a,2),6061(a,1,2))]. 7124 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7094(a,2),6072(a,1,1))]. 7126 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7094(a,2),6069(a,2,1))]. 7127 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T(z \ y,u) \ 1). [para(7094(a,2),6147(a,1,1))]. 7128 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7094(a,2),5919(a,2,2))]. 7129 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7094(a,2),6529(a,1))]. 7130 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7094(a,2),6568(a,1))]. 7131 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6608(a,1),7094(a,2,1))]. 7133 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(42(a,2),7106(a,1,2))]. 7134 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(108(a,1),7107(a,1,2)),flip(a)]. 7135 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(7107(a,1),5757(a,1,2))]. 7136 K(x,(y \ (z \ y)) \ 1) = K(x,T(z,y)). [hyper(6475,a,7095,a)]. 7137 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7095(a,1),6615(a,1,1)),flip(a)]. 7138 L(K(x,T(y,z)),z,u) != w | K(x,(u * (y \ z)) \ (u * z)) = w. [para(7095(a,1),6682(a,1,1))]. 7139 T(x,K(y,T(x,z))) = x. [para(7099(a,1),2978(a,1,2))]. 7140 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(6158(a,1),7099(a,1,1)),flip(a)]. 7141 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(7139(a,1),106(a,1,2))]. 7142 T(x / y,K(z,y \ x)) = x / y. [para(108(a,1),7139(a,1,2,2))]. 7144 (T(x,y) * (y / z)) * K(z \ y,x) = (y / z) * T(x,y). [para(7105(a,1),84(a,1,2))]. 7145 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7105(a,1),4054(a,1,3))]. 7150 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7105(a,1),6752(a,1,1)),flip(a)]. 7151 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(7109(a,2),137(a,1)),flip(b)]. 7152 x * K(y,T(z,x)) = K(z,y) \ x. [hyper(198,a,5281,a,b,7113,a)]. 7153 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(65,a,7113,a,b,4901,a)]. 7154 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,5782,a(flip),b,7113,a)]. 7155 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5311,a,7113,a(flip))]. 7156 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7113(a,1),19(a,1))]. 7157 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(38(a,1),7113(a,1,2,2))]. 7158 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),7113(a,1,2,2))]. 7159 K(x,y / z) * z = z * K(x,z \ y). [para(108(a,1),7113(a,1,2,2)),flip(a)]. 7161 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(7113(a,1),93(a,1,2,2)),flip(a)]. 7162 K(x,y) * (x / y) = (x / y) * K(x,y). [para(5333(a,1),7113(a,1,2)),flip(a)]. 7166 (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). [para(7077(a,1),7113(a,1,2))]. 7168 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5645,a,7118,a)]. 7169 T(x,T(y \ 1,z)) != u | T(x,T(y,z) \ 1) = u. [para(7118(a,1),5645(a,1))]. 7170 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7118(a,1),6209(a,1,2,2))]. 7171 K(T(x,y),z) = T(K(x,z),y). [hyper(5144,a,7122,a)]. 7172 K(T(x,y),z) = K(x,T(z,y)). [hyper(198,a,7094,a,b,7171,a)]. 7173 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(198,a,6360,a,b,7171,a),flip(a)]. 7174 K(T(x,y),y / z) = K(x,z \ y). [hyper(198,a,6459,a(flip),b,7171,a)]. 7175 K(T(x,T(y,z)),y) = K(x,y). [hyper(198,a,3000,a(flip),b,7171,a)]. 7176 K(T(x,K(y,z)),y) = K(x,y). [hyper(198,a,1799,a(flip),b,7171,a)]. 7177 x * K(T(y,x),z) = K(y,z) * x. [para(7171(a,2),106(a,1,2))]. 7178 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7171(a,1),4937(a,2,1)),flip(a)]. 7180 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(6425,a,7172,a),flip(a)]. 7181 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5306,a,7172,a)]. 7182 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(198,a,4826,a(flip),b,7172,a)]. 7183 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(198,a,5761,a,b,7172,a(flip)),flip(a)]. 7184 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(198,a,6387,a(flip),b,7172,a(flip))]. 7185 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(65,a,7172,a(flip),b,4871,a(flip)),flip(a)]. 7186 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),7172(a,2,2))]. 7187 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(40(a,2),7172(a,1,1))]. 7188 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),7172(a,1,1))]. 7189 K(x / y,T(z,y)) = K(y \ x,z). [para(108(a,1),7172(a,1,1)),flip(a)]. 7190 K(T(x,y),z / y) = K(x,y \ z). [para(108(a,1),7172(a,2,2))]. 7191 K((x * y) / x,T(z,x)) = K(y,z). [para(144(a,1),7172(a,1,1)),flip(a)]. 7192 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(234(a,1),7172(a,1,1))]. 7193 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7172(a,1),4882(a,2,2)),flip(a)]. 7194 K(x,T(y,z)) * T(y,T(x,z)) = y. [para(7172(a,1),4886(a,1,1))]. 7195 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(7172(a,1),4924(a,2,2)),flip(a)]. 7196 K(x,T(y,z)) \ x = x * K(y,T(x,z)). [para(7172(a,1),5111(a,2,2))]. 7198 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7172(a,1),5281(a,1,1))]. 7199 K(x,T(y,z)) \ (K(y,T(x,z)) \ u) = u. [para(7172(a,1),5283(a,1,1))]. 7200 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5352(a,1),7172(a,1,1)),flip(a)]. 7201 K(x,T(y,z)) \ (y * u) = T(y,T(x,z)) * u. [para(7172(a,1),5229(a,1,1))]. 7202 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7172(a,1),5245(a,1,1))]. 7203 x \ (T(x,T(y,z)) * u) = K(y,T(x,z)) \ u. [para(7172(a,1),5366(a,2,1))]. 7204 K(x,T(y,z)) * u != w | K(y,T(x,z)) \ u = w. [para(7172(a,1),5307(a,1,1))]. 7205 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7172(a,1),5312(a,1,1))]. 7206 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7172(a,1),5014(a,1,1))]. 7207 K(x,T(y,z)) \ (y * u) != w | T(y,T(x,z)) * u = w. [para(7172(a,1),5254(a,1,1))]. 7208 R(x,y,K(T(y,z),u)) = x. [para(7172(a,2),6295(a,1,3))]. 7210 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(6613(a,1),7172(a,1,1)),flip(a)]. 7211 R(x,(y * z) / y,K(z,u)) = x. [para(144(a,1),7208(a,1,3,1))]. 7213 T(x,T(y,z)) * K(x,y) = T(T(x,y),T(y,z)). [para(7175(a,1),4992(a,1,2))]. 7214 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7176(a,1),4937(a,2,1)),flip(a)]. 7215 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7176(a,1),5417(a,1,2))]. 7216 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7211(a,1),420(a,1,1))]. 7217 K(x / y,z) \ y = y * K(z,y \ x). [para(108(a,1),7152(a,1,2,2)),flip(a)]. 7218 x * K(T(y,x),z) = K(z,y) \ x. [para(7172(a,2),7152(a,1,2))]. 7219 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(672(a,1),7173(a,1,1,1)),flip(a)]. 7220 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7173(a,1),6589(a,1,1)),flip(a)]. 7221 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(744(a,1),7174(a,1,1))]. 7222 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7174(a,1),4937(a,2,1)),flip(a)]. 7223 K(x / y,z) * y = y * K(y \ x,z). [para(108(a,1),7177(a,1,2,1)),flip(a)]. 7224 K((x * y) / x,z) * x = x * K(y,z). [para(144(a,1),7177(a,1,2,1)),flip(a)]. 7225 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7181(a,1),5145(a,1))]. 7226 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(198,a,7094,a,b,7184,a)]. 7227 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(6495,a,7189,a)]. 7229 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(198,a,5713,a(flip),b,7189,a(flip))]. 7230 K(x / y,T(y,z)) = K(y \ x,T(y,z)). [para(117(a,1),7189(a,1,2))]. 7231 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(118(a,1),7189(a,1,2))]. 7232 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7189(a,1),4937(a,2,1)),flip(a)]. 7233 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7189(a,1),4938(a,1,1))]. 7236 K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). [para(236(a,1),7190(a,1,1))]. 7237 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(744(a,1),7190(a,1,1))]. 7239 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [hyper(6733,a,7193,a)]. 7240 K(x,T(y,x * z)) = K(x,T(y,z)). [para(13(a,1),7226(a,1,2,2)),flip(a)]. 7241 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),7226(a,1,2))]. 7242 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7226(a,1),4924(a,2,2))]. 7243 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6439(a,1),7226(a,1,2))]. 7244 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7226(a,1),6755(a,1,1))]. 7245 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(198,a,7172,a,b,7240,a)]. 7246 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(108(a,1),7240(a,1,2)),flip(a)]. 7247 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7028(a,1),342(a,1,1)),flip(a)]. 7248 L(K(x,y),z,x) != u | K(x,y) = u. [para(7034(a,2),191(a,1)),flip(b)]. 7251 K(L(x,y,x),z) != u | K(x,z) = u. [para(6605(a,1),7248(a,1))]. 7252 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6616(a,1),7248(a,1))]. 7253 K(T(x / (x / y),x),z) != u | K(y,z) = u. [para(4193(a,2),7251(a,1,1))]. 7254 K(x,y) != z | K(R(x,u,x),y) = z. [para(4473(a,1),7251(a,1,1))]. 7255 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6439(a,2),7151(a,1))]. 7256 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7094(a,1),7225(a,1))]. 7257 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(6387(a,2),7256(a,1))]. 7258 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(14(a,1),7023(a,2,2,2))]. 7259 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(168(a,1),7036(a,1,2,1)),flip(a)]. 7260 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7036(a,1),6616(a,1,1))]. 7261 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7036(a,1),6989(a,2,2))]. 7262 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3109,a,7049,a)]. 7263 (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). [hyper(65,a,7049,a(flip),b,5234,a)]. 7264 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(65,a,7049,a(flip),b,4223,a),flip(a)]. 7265 L(x,y,K(x,z)) = x. [hyper(390,a,7055,a)]. 7267 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(198,a,5219,a(flip),b,7055,a)]. 7268 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(150,a,7055,a,b,4225,a)]. 7270 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(7055(a,1),338(a,1,1))]. 7271 (K(x,y) * z) / x = K(x,y) * (z / x). [para(7265(a,1),451(a,1,2))]. 7272 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7265(a,1),397(a,1,2,1))]. 7273 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7265(a,1),398(a,1,2,1))]. 7276 L(K(x,y),z,K(x,u)) = K(x,y). [para(7265(a,1),6603(a,1,1)),flip(a)]. 7277 L(K(x,y),z,K(y,u)) = K(x,y). [para(7265(a,1),6608(a,1,2)),flip(a)]. 7279 T(x / (x / K(y,z)),x) = K(y,z). [hyper(198,a,4193,a,b,7276,a(flip)),flip(a)]. 7280 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7276(a,1),40(a,2,1))]. 7281 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(7276(a,1),4240(a,1,1,1))]. 7282 x / T(K(y,z),x) = K(y,z) \ x. [para(7276(a,1),4401(a,1,1)),flip(a)]. 7283 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(7277(a,1),92(a,1,2))]. 7284 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(7277(a,1),397(a,1,2,1))]. 7285 L(K(x,y),z,R(K(y,u),w,v5)) = K(x,y). [para(6918(a,1),7277(a,1,3))]. 7286 T((T(x,y) / z) / (x / z),T(x,y) / z) = K((z \ 1) \ (x / z),y). [para(6544(a,1),7279(a,1,1,2))]. 7287 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(7282(a,1),4084(a,1,1))]. 7288 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(198,a,4175,a(flip),b,7068,a)]. 7291 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7068(a,1),1123(a,1,1))]. 7292 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4893(a,1),7068(a,1,1)),flip(a)]. 7293 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(14(a,1),7070(a,1,2,1)),flip(a)]. 7294 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(106(a,1),7070(a,1,2,1)),flip(a)]. 7295 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(7070(a,1),7226(a,1,2))]. 7296 L(x,y,K(z,x)) = x. [hyper(390,a,7080,a)]. 7298 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7080(a,1),5221(a,1,2,2))]. 7300 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7296(a,1),45(a,1,1)),flip(a)]. 7301 L(K(x,y),z,K(u,x)) = K(x,y). [para(7296(a,1),6603(a,1,1)),flip(a)]. 7302 L(K(x,y),z,K(u,y)) = K(x,y). [para(7296(a,1),6608(a,1,2)),flip(a)]. 7303 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(198,a,6610,a(flip),b,7301,a(flip)),flip(a)]. 7305 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(198,a,6605,a(flip),b,7302,a(flip)),flip(a)]. 7306 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7302(a,1),92(a,1,2))]. 7307 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),7303(a,1,2))]. 7308 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5299(a,1),7303(a,1,2))]. 7309 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7305(a,1),4967(a,2,1,1))]. 7310 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [para(5299(a,1),7305(a,1,1))]. 7311 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6435(a,1),7092(a,1,2)),flip(a)]. 7313 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(236(a,1),7102(a,1,1,1)),flip(a)]. 7314 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6525,a,7103,a),flip(a)]. 7315 K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u. [para(7103(a,1),6525(a,1))]. 7316 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [hyper(198,a,7094,a,b,7111,a),flip(a)]. 7317 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(198,a,6493,a(flip),b,7123,a(flip)),flip(a)]. 7318 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(198,a,6586,a,b,7317,a(flip)),flip(a)]. 7320 R(x,y * z,K(y,K(z,u))) = x. [para(7318(a,1),6295(a,1,3))]. 7321 K(x,(y \ (z \ y)) \ 1) = K(x,(u \ (u / T(z,y))) \ 1). [hyper(198,a,6464,a,b,7136,a)]. 7323 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(5488(a,2),7159(a,1,1))]. 7324 (x / y) * K(x,y) = T(x,y) / y. [hyper(198,a,5392,a(flip),b,7162,a(flip))]. 7325 T(x / y,K(y,x)) = x / y. [hyper(18,a,6072,a,b,7162,a(flip)),flip(a)]. 7327 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5849,a,7324,a)]. 7328 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6523,a,7168,a),flip(a)]. 7329 T(x,T(y \ 1,z)) != u | T(x,(y * z) \ z) = u. [para(7168(a,1),6523(a,1))]. 7330 K(x,T(T(y,z),u)) * T(x,z) = T(T(x,z),T(y,u)). [para(7112(a,2),7178(a,1,1))]. 7331 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7185(a,1),1813(a,1,2))]. 7333 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5523,a,7195,a)]. 7334 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(65,a,7195,a(flip),b,5240,a)]. 7335 (x / y) * T(y,T(x,z)) = K(x,T(y,z)) \ x. [hyper(198,a,6256,a,b,7196,a),flip(a)]. 7336 K(x,y) * T(x,T(z,y)) = T(T(x,z),y). [hyper(5516,a,7206,a)]. 7337 T(x / y,z) \ x = y * K(z,y \ x). [hyper(5591,a,7217,a)]. 7339 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(198,a,7102,a,b,7229,a),flip(a)]. 7340 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(198,a,4924,a,b,7242,a)]. 7342 T(x,T(y,x \ y)) = T(x,y). [para(105(a,1),7340(a,2,2))]. 7343 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7340(a,1),4925(a,1,2,1))]. 7344 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6439(a,1),7340(a,1,2))]. 7345 T(x,T(x * y,y)) = T(x,x * y). [para(13(a,1),7342(a,1,2,2))]. 7346 T(x \ y,T(y,x)) = T(x \ y,y). [para(3943(a,1),7342(a,1,2))]. 7347 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7262(a,1),5937(a,1,1)),flip(a)]. 7348 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6921(a,1),7262(a,2,1))]. 7349 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(4897(a,2),7267(a,1,1))]. 7350 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(5217(a,1),7267(a,1,1)),flip(a)]. 7351 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6701,a,7268,a),flip(a)]. 7352 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6699,a,7268,a)]. 7353 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [hyper(198,a,7108,a,b,7268,a)]. 7354 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(198,a,5764,a(flip),b,7268,a)]. 7356 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(14(a,1),7268(a,1,1)),flip(a)]. 7357 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),7268(a,2,2))]. 7358 K(x,y) * ((x * z) / x) = (T(x,y) * z) / x. [para(4944(a,1),7271(a,1,1)),flip(a)]. 7359 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7281(a,1),38(a,1,1)),flip(a)]. 7360 T(K(x,y) * z,K(x,y)) != K(x,y) * u | T(z,K(x,y)) = u. [para(7281(a,2),151(a,2)),flip(a)]. 7361 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(5291(a,1),7281(a,1,1)),flip(a)]. 7362 (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). [para(5217(a,1),7281(a,1,1)),flip(a)]. 7363 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(7281(a,1),6070(a,1,1))]. 7364 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(7281(a,1),6073(a,1,1)),flip(b)]. 7365 L(L(K(x,y),z,u),w,R(K(y,v5),v6,v7)) = L(K(x,y),z,u). [para(7285(a,1),45(a,1,1)),flip(a)]. 7366 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7094(a,2),7333(a,1,2,2))]. 7367 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7334(a,1),4471(a,1,1))]. 7368 K(x,y) \ T(y,T(z,x)) = T(T(y,z),x). [hyper(5307,a,7336,a)]. 7369 x / (y * K(z,y \ x)) = T(x / y,z). [para(7337(a,1),57(a,1,2))]. 7370 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(6566,a,7339,a)]. 7371 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(13(a,1),7352(a,1,2,1)),flip(a)]. 7372 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(7352(a,1),1461(a,1,1)),flip(a)]. 7373 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7352(a,1),6707(a,1,1)),flip(a)]. 7374 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [hyper(198,a,5205,a,b,7356,a(flip)),flip(a)]. 7375 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(198,a,4933,a,b,7356,a(flip)),flip(a)]. 7376 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(198,a,6075,a(flip),b,7361,a)]. 7377 (x * K(y,z)) * K(z,y) = x. [hyper(5528,a,7363,a)]. 7378 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(7363(a,1),6073(a,1,1)),flip(b)]. 7380 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6574,a,7377,a),flip(a)]. 7381 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(6556,a,7377,a),flip(a)]. 7382 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(6511,a,7377,a),flip(a)]. 7383 (x \ y) * K(y,x) = x \ T(y,x). [hyper(6333,a,7377,a),flip(a)]. 7384 x / K(y,z) = x * K(z,y). [hyper(261,a,7377,a),flip(a)]. 7385 (x * K(y,z)) \ x = K(z,y). [hyper(71,a,7377,a)]. 7386 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(65,a,107,a,b,7377,a)]. 7387 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(18,a,7177,a,b,7377,a)]. 7388 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(18,a,7113,a,b,7377,a)]. 7389 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(18,a,6432,a,b,7377,a)]. 7390 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,6257,a,b,7377,a)]. 7391 (x / y) * K(z,y) = x / T(y,z). [hyper(18,a,6253,a,b,7377,a)]. 7392 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(18,a,3307,a,b,7377,a)]. 7393 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(18,a,6431,a(flip),b,7377,a)]. 7395 (x * K(y,z)) / z = x / T(z,y). [hyper(66,a,7377,a(flip),b,6256,a),flip(a)]. 7396 x * K(y,z) != u | u * K(z,y) = x. [para(7377(a,1),20(a,1)),flip(a)]. 7397 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(7377(a,1),28(a,2,2,2))]. 7398 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7377(a,1),191(a,1,2)),flip(b)]. 7399 x / K(y,z) != u | x * K(z,y) = u. [para(7377(a,1),255(a,1,1)),flip(b)]. 7400 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7377(a,1),92(a,1,1))]. 7403 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7377(a,1),620(a,1,1,2))]. 7404 (x * K(y,z)) * T(z,y) = x * z. [para(7377(a,1),6244(a,1,1)),flip(a)]. 7405 (x * K(y,z)) * z = x * (z * K(y,z)). [para(7377(a,1),6356(a,1,1)),flip(a)]. 7406 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [hyper(6623,a,7384,a)]. 7407 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(198,a,6607,a(flip),b,7384,a(flip))]. 7408 (x * K(y,z)) * K(z,y) != u | u = x. [para(7384(a,1),208(a,1,1))]. 7409 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7384(a,1),197(a,1,1))]. 7411 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(7384(a,1),2095(a,1,1,2))]. 7412 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(7384(a,1),3729(a,1,1,2))]. 7414 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(7384(a,1),5490(a,2,2))]. 7415 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7172(a,1),7384(a,1,2))]. 7416 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(198,a,5856,a(flip),b,7385,a)]. 7417 ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) = K(x,y). [para(3132(a,1),7385(a,1,1))]. 7418 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7385(a,2),5281(a,1,1))]. 7419 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5614(a,1),7385(a,1,1))]. 7420 (x * T(x \ y,z)) \ y = K(z,(y \ x) \ 1). [para(5190(a,2),7385(a,1,1))]. 7421 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(7385(a,1),5135(a,2,1))]. 7423 (x * T(y,z)) \ (x * y) = K(z,y). [para(6257(a,1),7385(a,1,1))]. 7424 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6283(a,2),7385(a,1,1))]. 7425 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6753(a,1),7385(a,1,1,2)),flip(a)]. 7426 (K(x,y) * z) \ z = K(y,T(x,z)). [para(7177(a,1),7385(a,1,1))]. 7427 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),7383(a,1,1)),flip(a)]. 7428 (x / T(y,z)) * y = x * K(z,y). [hyper(261,a,7390,a),flip(a)]. 7429 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(107(a,1),7390(a,1,1,2))]. 7430 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(7390(a,1),426(a,1,2)),flip(a)]. 7431 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7390(a,1),6244(a,1,1)),flip(a)]. 7432 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(7390(a,1),6356(a,1,1))]. 7434 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(65,a,7391,a(flip),b,5569,a(flip)),flip(a)]. 7435 (x * y) / T(y,z) = x * K(z,y). [para(15(a,1),7391(a,1,1)),flip(a)]. 7436 (x * y) / T(T(x,y),z) = y * K(z,T(x,y)). [para(124(a,1),7391(a,1,1)),flip(a)]. 7437 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(7392(a,1),103(a,2,2))]. 7438 x \ (y * K(z,x)) = T(y / T(x,z),x). [para(7395(a,1),108(a,1,1)),flip(a)]. 7439 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(108(a,1),7395(a,2,2))]. 7440 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(7395(a,1),4193(a,1,1,2))]. 7441 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(7395(a,1),4194(a,1,1,1,2))]. 7442 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(7395(a,1),6256(a,1,1))]. 7443 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(7395(a,1),6506(a,1,1)),flip(a)]. 7444 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(71,a,7404,a)]. 7449 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6508(a,1),7404(a,1,1)),flip(a)]. 7453 x * K(y,z) != z * u | T(x / T(z,y),z) = u. [para(7428(a,1),151(a,2)),flip(a)]. 7456 R(x * K(y,z),K(u,w),u) = (x * z) / T(z,y). [hyper(198,a,6245,a,b,7435,a),flip(a)]. 7459 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(6717(a,1),7444(a,1,1,2)),flip(a)]. 7460 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7172(a,1),7444(a,1,1,2))]. 7461 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7172(a,1),7396(a,1,2))]. 7463 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5651(a,1),7398(a,1,1))]. 7464 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5693(a,1),7398(a,1,1))]. 7465 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(6283(a,2),7398(a,1,1))]. 7466 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6648(a,2),7398(a,1,1))]. 7467 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7172(a,1),7399(a,1,2))]. 7471 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(6253(a,1),7408(a,1,1)),flip(b)]. 7472 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) != u | x \ y = u. [para(6364(a,1),7408(a,1,1)),flip(b)]. 7474 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(13(a,1),7369(a,1,2,2,2))]. 7475 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7370(a,1),5046(a,2,2,2)),flip(a)]. 7477 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5435(a,1),7371(a,1,1)),flip(a)]. 7478 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(6271,a,7373,a)]. 7479 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(198,a,6256,a,b,7373,a),flip(a)]. 7480 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(65,a,7373,a,b,4896,a)]. 7483 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(198,a,5069,a(flip),b,7382,a)]. 7484 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(7382(a,1),6270(a,1,1))]. 7485 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(7393(a,1),845(a,2,1,2))]. 7486 (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(7393(a,1),4673(a,1,2,1))]. 7487 R(x,K(y,z),z) = x. [hyper(2994,a,7405,a)]. 7488 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(71,a,7405,a)]. 7489 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(66,a,7405,a(flip),b,6356,a)]. 7490 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [para(4885(a,1),7405(a,1,1)),flip(a)]. 7491 R(x,K(y,z),T(z,u)) = x. [para(7191(a,1),7487(a,1,2))]. 7492 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(7491(a,1),102(a,1,1)),flip(a)]. 7493 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7418(a,1),7173(a,1,1)),flip(a)]. 7495 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(952(a,1),7424(a,1,1))]. 7496 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(792(a,1),7424(a,1,1))]. 7497 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1263(a,1),7424(a,1,1))]. 7498 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1913(a,1),7424(a,1,1))]. 7499 K((x \ 1) \ y,x) = K(x * y,x). [hyper(6547,a,7427,a)]. 7500 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(198,a,4408,a,b,7427,a(flip)),flip(a)]. 7501 x * (y * K(x * y,x)) = T(x * y,x). [para(7427(a,1),14(a,1,2))]. 7502 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(7427(a,2),5043(a,1,1))]. 7503 K((1 / x) \ y,x) = K(x * y,x). [hyper(198,a,5459,a,b,7499,a(flip)),flip(a)]. 7504 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(198,a,5460,a(flip),b,7499,a(flip))]. 7505 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(7499(a,1),6589(a,1,1))]. 7506 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(7499(a,1),6592(a,1,1))]. 7508 (x * T(y,z)) * T(z,y) = R(x,y,z) * (y * z). [hyper(198,a,102,a,b,7431,a)]. 7509 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(65,a,92,a(flip),b,7431,a)]. 7510 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7431(a,1),4108(a,1,2))]. 7511 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7172(a,1),7438(a,1,2,2))]. 7515 (T(x,y) / y) * T(y,z) = y \ (x * T(y,z)). [hyper(198,a,6256,a,b,7478,a),flip(a)]. 7516 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(150,a,7478,a(flip),b,5216,a)]. 7518 T(x,y) * L(K(y,z),y,u) = y \ (x * T(y,z)). [para(6303(a,2),7478(a,2,2)),flip(a)]. 7519 x \ (T(y,x) * T(x,z)) = T(x \ (y * T(x,z)),x). [para(7478(a,2),6248(a,2,1))]. 7521 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(375,a,7516,a)]. 7522 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(198,a,7118,a,b,7516,a)]. 7523 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [para(144(a,1),7516(a,1,1)),flip(a)]. 7524 T(x,T(y,z)) \ (T(x,y) * (T(T(x,y),K(y,z)) * u)) = T(x,y) * u. [para(7516(a,1),960(a,1,1))]. 7525 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(7516(a,1),5004(a,2,1))]. 7526 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(7516(a,1),7210(a,1,2))]. 7527 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7521(a,1),4316(a,1,2)),flip(a)]. 7528 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(6074(a,1),7521(a,1,1)),flip(a)]. 7529 T(x * T(y,T(x,z)),x) = T(y * x,T(x,z)). [para(6539(a,1),7521(a,1,1))]. 7530 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(6688,a,7483,a),flip(a)]. 7531 L(K(x,y),y,z) = K(x,y). [hyper(390,a,7483,a)]. 7532 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(261,a,7483,a),flip(a)]. 7533 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(7483(a,1),6244(a,1,1))]. 7534 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(198,a,6461,a,b,7531,a)]. 7538 a(x,y,K(z,y)) = 1. [hyper(34,a,7531,a)]. 7539 K(L(x,y,z),y * x) = K(x,y * x). [hyper(198,a,6605,a(flip),b,7531,a(flip)),flip(a)]. 7540 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(7531(a,1),45(a,1,1)),flip(a)]. 7541 L(K(x,y),y,z) \ (y * u) = T(y,x) * u. [para(7531(a,2),5229(a,1,1))]. 7542 a(x,y,K(z,T(y,u))) = 1. [para(7099(a,1),7538(a,1,3))]. 7543 a(x,T(y,z),K(u,y)) = 1. [para(7191(a,1),7538(a,1,3))]. 7544 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(33,a,7542,a)]. 7545 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,7543,a)]. 7546 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(198,a,5436,a,b,7545,a(flip)),flip(a)]. 7547 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(65,a,7545,a(flip),b,2880,a)]. 7548 K(L(x,y,z),y * x) = K(x,x * y). [hyper(198,a,5504,a(flip),b,7539,a)]. 7549 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(6685,a,7544,a)]. 7550 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(680,a,7488,a)]. 7551 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(7488(a,1),212(a,1,2)),flip(b)]. 7553 L(x,K(y,x),z) = x. [para(2978(a,1),7550(a,1,1))]. 7554 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(7553(a,1),397(a,1,2,1))]. 7555 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(7553(a,1),398(a,1,2,1))]. 7558 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5646(a,2),7522(a,2,2))]. 7559 K(x,y) * T(T(x,z),K(z,u)) = T(K(x,z),u) * T(x,y). [para(7522(a,2),5513(a,1,2))]. 7560 T(x * y,K(y,z)) / y = T(x,K(y,z)). [hyper(198,a,6540,a,b,7523,a(flip)),flip(a)]. 7561 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(7523(a,1),6541(a,1,2)),flip(a)]. 7562 K(x \ (y * z),z) / (z \ T(z * ((y \ x) \ 1),z)) = y \ x. [para(7530(a,1),6111(a,1,1))]. 7563 (x / y) * (z / (z / y)) = x * K(y \ z,y). [para(4848(a,2),7532(a,1,2))]. 7564 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(4941(a,1),7532(a,1,2))]. 7565 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(4695,a,7560,a)]. 7566 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [para(7560(a,1),16(a,1,1)),flip(a)]. 7567 T(x,K(y,z)) / y = T(x / y,K(y,z)). [para(16(a,1),7560(a,1,1,1))]. 7568 T(x \ y,K(x,z)) != u | x \ T(y,K(x,z)) = u. [para(7560(a,1),4695(a,1))]. 7569 T(x * T(y,K(x,z)),x) = T(x * y,T(x,z)). [para(7561(a,1),7521(a,1,1))]. 7570 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(350(a,1),7565(a,2,1))]. 7571 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(592(a,2),7091(a,1))]. 7572 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(1176(a,1),7091(a,1,2,2))]. 7574 K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. [para(4026(a,1),7091(a,1,2))]. 7575 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6487(a,1),7091(a,1))]. 7577 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7171(a,2),7575(a,1))]. 7579 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(40(a,2),7577(a,1,1))]. 7580 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(6734(a,2),7577(a,1))]. 7581 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7245(a,2),7577(a,1))]. 7584 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(7522(a,2),7119(a,1))]. 7586 K(R(x / y,z,u) / w,y \ x) != v5 | K(w \ R(x / y,z,u),y \ x) = v5. [para(5272(a,1),7130(a,1,2))]. 7587 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(198,a,6783,a(flip),b,7280,a(flip)),flip(a)]. 7589 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5291(a,1),7587(a,1,2)),flip(a)]. 7590 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(5053(a,1),7587(a,1,2)),flip(a)]. 7592 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7224(a,1),7589(a,1,2))]. 7593 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(5882(a,1),7592(a,1,2,2))]. 7594 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(7390(a,1),7592(a,1,2)),flip(a)]. 7595 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(198,a,4967,a,b,7309,a)]. 7596 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(94(a,1),7595(a,1,2))]. 7598 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7419(a,1),1194(a,2,2,1))]. 7600 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7190(a,1),7471(a,1,2))]. 7601 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(108(a,1),7526(a,1,2,2)),flip(a)]. 7602 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(281(a,1),7526(a,1,2,2,2))]. 7604 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(7534(a,1),3672(a,1)),flip(b)]. 7605 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(198,a,6610,a(flip),b,7540,a)]. 7607 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(5291(a,1),7604(a,1,2,1,1))]. 7608 L(K(x,y),y,z) != u | K(x,y) = u. [para(7534(a,2),7604(a,1))]. 7609 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6591(a,1),7608(a,1))]. 7611 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7026(a,1),6259(a,1,2))]. 7612 (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) = K(z,x). [para(7039(a,1),7385(a,1,1))]. 7613 (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) != u | K(z,x) = u. [para(7039(a,1),7398(a,1,1))]. 7614 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(7040(a,1),5911(a,2,2,2))]. 7615 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7325(a,2),7063(a,1,1))]. 7616 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(198,a,2986,a(flip),b,7078,a)]. 7617 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5874(a,1),7078(a,2,2))]. 7618 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(7363(a,1),7133(a,1,2,1))]. 7619 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(198,a,5245,a(flip),b,7166,a)]. 7620 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6539(a,2),7170(a,1,2))]. 7621 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(118(a,1),7188(a,2,2))]. 7622 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1688(a,1),7188(a,1,1)),flip(a)]. 7623 K(x,(y \ (z \ y)) \ 1) \ (z * u) = T(z,T(x,y)) * u. [para(7136(a,2),7201(a,1,1))]. 7624 T(x,y) \ (T(T(x,y),z) * u) = x \ (T(x,T(z,y)) * u). [hyper(198,a,5366,a,b,7203,a),flip(a)]. 7625 T(x \ (T(x,T(y,z)) * u),T(x,T(y,z)) * u) = T(K(y,T(x,z)) \ u,T(T(x,T(y,z)) * u,x)). [para(7203(a,1),7346(a,1,1)),flip(a)]. 7626 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(198,a,7521,a(flip),b,7214,a)]. 7627 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5516,a,7626,a)]. 7628 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(3947(a,1),7222(a,1,2))]. 7629 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6631(a,1),7232(a,1,1))]. 7630 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(198,a,5860,a(flip),b,7243,a(flip))]. 7631 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(198,a,7036,a(flip),b,7246,a)]. 7632 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6636(a,1),7311(a,1,2))]. 7633 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [hyper(7156,a,7323,a)]. 7634 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(57(a,1),7633(a,1,2,1,1))]. 7635 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(198,a,7314,a(flip),b,7634,a(flip)),flip(a)]. 7636 T(x * y,T(y,x)) != z | T(x * y,y) = z. [para(7344(a,1),5842(a,1))]. 7637 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(150,a,7349,a,b,957,a)]. 7639 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6309,a,7350,a)]. 7641 K(x,y) \ ((x \ z) * x) = (T(x,y) \ z) * x. [hyper(65,a,7350,a(flip),b,5219,a)]. 7643 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(17,a,222,a,b,7639,a)]. 7646 T(x * K(x \ y,x),z) = y / (y / T(x,z)). [para(7643(a,1),5476(a,1,1,2))]. 7647 K(x,y) \ ((y * z) / y) = (T(y,x) * z) / y. [hyper(5307,a,7358,a)]. 7649 T(x,K(y,(x \ z) \ 1)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(7420(a,1),3946(a,1,1,2))]. 7650 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(4713,a,7429,a(flip)),flip(a)]. 7653 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(7432(a,1),5329(a,1,1))]. 7654 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(198,a,7113,a(flip),b,7436,a)]. 7655 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(5765(a,1),7439(a,1,1))]. 7657 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(198,a,3120,a,b,7449,a)]. 7658 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(198,a,4976,a(flip),b,7474,a)]. 7659 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5357(a,1),7479(a,1,1,1)),flip(a)]. 7660 (T(x * y,y) / y) * T(y,z) = T(x * T(y,z),y). [para(6257(a,1),7479(a,2,1))]. 7661 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(5092,a,7490,a)]. 7662 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7500(a,2),5082(a,2,1,2))]. 7663 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6456,a,7504,a)]. 7664 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(198,a,5818,a,b,7504,a(flip)),flip(a)]. 7665 x \ ((y / x) * T(x,z)) = ((x \ y) / x) * T(x,z). [para(108(a,1),7515(a,1,1,1)),flip(a)]. 7666 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(66,a,7533,a(flip),b,102,a)]. 7667 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(7533(a,1),6259(a,1,2))]. 7668 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7547(a,1),2920(a,2,2))]. 7669 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(5353,a,7563,a)]. 7675 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(198,a,7078,a,b,7564,a)]. 7676 T(K(x,y),(x \ z) * T(x,u)) = T(K(x,y),z). [hyper(198,a,7590,a(flip),b,7594,a)]. 7677 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5002,a,7620,a)]. 7678 K(x,K(y,z)) = K(z,K(y,x)). [hyper(198,a,7318,a(flip),b,7677,a(flip))]. 7679 K(K(x,y),z) = K(x,K(y,z)). [hyper(6063,a,7678,a)]. 7680 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(198,a,7677,a(flip),b,7678,a)]. 7681 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(7678(a,1),84(a,1,2))]. 7682 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7678(a,1),4887(a,2,1)),flip(a)]. 7683 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7678(a,1),4924(a,2,2)),flip(a)]. 7684 K(x,K(y,z)) * z = T(z,K(y,x)). [para(7678(a,1),4937(a,2,1)),flip(a)]. 7685 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7678(a,1),4904(a,1,1))]. 7688 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7678(a,1),6064(a,1,1))]. 7689 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(7678(a,1),6063(a,1))]. 7690 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7678(a,1),6065(a,1,2))]. 7691 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7678(a,1),6067(a,1,1))]. 7692 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7678(a,1),7101(a,1,2))]. 7693 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7678(a,1),7627(a,1,1))]. 7694 K(K(L(x \ 1,y,z) \ 1,u),w) = L(K(x,K(u,w)),y,z). [hyper(198,a,5882,a(flip),b,7679,a)]. 7695 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(198,a,5874,a(flip),b,7679,a)]. 7696 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(198,a,6912,a,b,7679,a(flip)),flip(a)]. 7697 K(x,K(y,z)) / z = 1 / T(z,K(x,y)). [hyper(66,a,7679,a(flip),b,4870,a(flip))]. 7699 K(x,K(y,z)) \ z = T(z,K(x,y)). [para(7679(a,1),4887(a,2,1)),flip(a)]. 7700 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7679(a,1),4927(a,1,2))]. 7702 T(K(x,y),z) \ (K(x,y) * u) = K(K(z,x),y) * u. [para(7679(a,2),5243(a,2,1))]. 7705 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7679(a,1),6087(a,1))]. 7706 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7679(a,1),6257(a,1,2))]. 7707 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7679(a,1),6656(a,1,2))]. 7708 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(81(a,1),7680(a,1,2,2))]. 7709 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5504(a,1),7680(a,1,2))]. 7710 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7317(a,1),7684(a,1,1)),flip(a)]. 7711 K(x,K(y,z)) = K(y,K(x,z)). [hyper(6068,a,7688,a)]. 7712 K(K(x,y),z) = K(y,K(z,x)). [hyper(5145,a,7688,a)]. 7713 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7688(a,1),6068(a,1))]. 7714 K(K(x,y),z) = K(y,K(x,z)). [hyper(198,a,7679,a,b,7711,a),flip(a)]. 7715 K(x,K(y,z)) = K(z,K(x,y)). [hyper(198,a,7678,a,b,7711,a)]. 7716 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(198,a,7317,a(flip),b,7711,a)]. 7717 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7711(a,1),4924(a,2,2)),flip(a)]. 7718 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7711(a,1),4937(a,2,1)),flip(a)]. 7719 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7711(a,1),4927(a,1,2))]. 7720 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7711(a,1),4938(a,1,1))]. 7721 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(7711(a,1),4896(a,1,2,1))]. 7722 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5504(a,2),7711(a,1,2))]. 7723 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7711(a,1),5339(a,1,2))]. 7724 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7711(a,1),6065(a,1,2))]. 7725 (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). [para(7711(a,1),6257(a,1,2))]. 7726 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(7711(a,1),6337(a,1,2))]. 7727 R(R(x,y,z),y * z,K(u,K(z,w))) = R(x,y,T(z,K(u,w))). [para(7711(a,1),6892(a,1,3))]. 7728 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(7172(a,2),7711(a,1,2))]. 7729 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7711(a,1),7683(a,1,2))]. 7730 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7711(a,1),7684(a,1,1))]. 7731 K(K(x,y),z) = K(x,K(z,y)). [hyper(198,a,7678,a,b,7712,a)]. 7732 K(K(x,y),z) = K(z,K(x,y)). [hyper(198,a,7678,a,b,7714,a)]. 7733 K(x,K(y,z)) = K(x,K(z,y)). [hyper(198,a,7712,a(flip),b,7714,a(flip))]. 7734 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7714(a,1),4891(a,1,1))]. 7735 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5874(a,1),7714(a,1,1)),flip(a)]. 7736 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(5882(a,1),7714(a,1,1)),flip(a)]. 7737 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7714(a,1),6087(a,1))]. 7738 x * K(K(y,z),x) = T(x,K(y,z)). [para(7714(a,2),7683(a,1,2))]. 7739 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(198,a,7123,a,b,7715,a),flip(a)]. 7741 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7715(a,2),4949(a,1,1))]. 7742 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7715(a,2),5985(a,1,1))]. 7743 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(7715(a,2),6365(a,2,2))]. 7744 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(7715(a,2),6546(a,1,2,2))]. 7745 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7172(a,1),7715(a,1,2))]. 7746 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7715(a,2),7100(a,1,1))]. 7747 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7715(a,1),7101(a,1,2))]. 7748 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(7715(a,2),7101(a,1,2))]. 7749 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(7715(a,2),7395(a,1,1,2))]. 7750 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7715(a,1),7683(a,1,2))]. 7751 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7715(a,1),7684(a,1,1))]. 7752 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7731(a,1),6087(a,1))]. 7753 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(7732(a,1),5128(a,1,1))]. 7754 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(7732(a,1),5281(a,1,1))]. 7755 K(x,K(y,z)) \ (x * u) = T(x,K(y,z)) * u. [para(7732(a,1),5229(a,1,1))]. 7756 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7732(a,1),5245(a,1,1))]. 7757 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7732(a,1),5307(a,1,1))]. 7758 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7732(a,1),5311(a,1,1))]. 7759 K(x,K(y,z)) \ u != w | K(x,K(y,z)) * u = w. [para(7732(a,1),5312(a,1,1))]. 7761 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7732(a,1),6087(a,1))]. 7762 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(198,a,7680,a,b,7733,a),flip(a)]. 7765 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(5986(a,1),7733(a,1,2)),flip(a)]. 7766 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7171(a,1),7733(a,1,2)),flip(a)]. 7767 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(14(a,1),7709(a,1,2,2)),flip(a)]. 7768 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5473(a,1),7709(a,1,2)),flip(a)]. 7769 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7709(a,1),7100(a,1,1))]. 7771 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(198,a,7711,a,b,7716,a)]. 7772 x * K(y,K(x,x * z)) = T(x,K(y,z * x)). [para(5504(a,1),7717(a,1,2,2))]. 7773 T(x,K(y,z)) = T(x,K(z,y)). [hyper(198,a,7683,a(flip),b,7729,a(flip))]. 7774 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(7584,a,7773,a),flip(a)]. 7775 T(T(x,K(y,z)),K(y,z)) = x. [hyper(6073,a,7773,a)]. 7776 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5427,a,7773,a)]. 7777 T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)). [hyper(375,a,7773,a)]. 7778 x \ T(y,K(x,z)) = T(x \ y,K(z,x)). [hyper(198,a,7565,a,b,7773,a),flip(a)]. 7779 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(198,a,7361,a,b,7773,a),flip(a)]. 7780 T(T(x,y),K(z,y)) = x * T(K(x,y),z). [hyper(198,a,7522,a(flip),b,7773,a)]. 7781 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(198,a,7363,a(flip),b,7773,a)]. 7782 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(198,a,7281,a(flip),b,7773,a)]. 7784 K(x,y) \ T(z,K(x,y)) = z * K(y,x). [hyper(65,a,7773,a,b,5289,a)]. 7785 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(7773(a,1),106(a,1,2))]. 7786 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(7773(a,1),375(a,1,1))]. 7787 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(7773(a,1),4145(a,1,2))]. 7788 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(7773(a,1),6073(a,1,1))]. 7789 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7773(a,1),6072(a,1,1))]. 7790 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7773(a,1),7521(a,1,1))]. 7791 T(x,K(y,z)) * K(y,z) = K(z,y) \ x. [hyper(65,a,7775,a(flip),b,5289,a),flip(a)]. 7792 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(685(a,2),7775(a,1,1)),flip(a)]. 7793 T(K(x,y),z) * z = z * K(x,y). [para(7775(a,1),4274(a,1,2))]. 7794 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7775(a,1),6073(a,1,1)),flip(b)]. 7795 T(T(x,K(y,z)),T(y,z)) = T(x,y). [para(7775(a,1),7521(a,1,1)),flip(a)]. 7798 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(7669(a,1),7767(a,1,2))]. 7799 K(x,K(y * z,y)) = K(y,K(z,x)). [hyper(198,a,7678,a,b,7771,a(flip)),flip(a)]. 7800 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(14(a,1),7771(a,1,2,1)),flip(a)]. 7801 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7774(a,1),6072(a,1,1))]. 7802 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(7774(a,1),7176(a,1,1))]. 7803 T(T(K(x,y),z),z) = K(x,y). [hyper(150,a,7793,a,b,xx)]. 7804 (x * K(y,z)) / x = T(K(y,z),x). [hyper(77,a,7793,a)]. 7805 (x * T(x \ y,z)) / y = T(K(x \ y,z),y). [hyper(66,a,6283,a,b,7793,a)]. 7806 (x * T(y,z)) / (x * y) = T(K(y,z),x * y). [hyper(66,a,6257,a(flip),b,7793,a)]. 7807 T(K(x \ y,z),x) = K(y / x,z). [hyper(18,a,7223,a,b,7793,a)]. 7808 T(K(x \ y,z),y) = K(y / x,z). [hyper(18,a,6362,a,b,7793,a)]. 7809 T(K(x,T(y,z)),z) = K(x,y). [hyper(18,a,7113,a(flip),b,7793,a)]. 7810 (K(x,y) \ z) * K(x,y) = K(x,y) * (z / K(x,y)). [hyper(198,a,3937,a(flip),b,7793,a(flip))]. 7811 K(x \ y,z) * y = y * K(y / x,z). [para(6363(a,1),7793(a,1,1))]. 7812 K(x,y \ z) * z = z * K(x,z / y). [para(6459(a,1),7793(a,1,1))]. 7813 K(x,T(y,z)) * z = z * K(x,y). [para(7094(a,2),7793(a,1,1))]. 7814 K(x,T(T(y,z),z)) = K(x,y). [hyper(198,a,7316,a,b,7803,a(flip)),flip(a)]. 7815 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7803(a,1),161(a,1,2,1)),flip(a)]. 7816 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7803(a,1),182(a,1,2,2,1))]. 7817 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(5646(a,2),7803(a,1,1))]. 7818 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(6048(a,2),7803(a,1,1))]. 7819 K(T(x,y),T(z,y)) = K(x,z). [hyper(7256,a,7809,a)]. 7820 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6568,a,7809,a)]. 7822 (x * K(y,z)) / x = K(y,T(z,x)). [para(7809(a,1),145(a,1,1,2))]. 7824 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7809(a,1),162(a,1,2,1)),flip(a)]. 7825 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(7809(a,1),562(a,1,2,1)),flip(a)]. 7826 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7809(a,1),7178(a,1,1)),flip(a)]. 7827 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(198,a,7188,a,b,7814,a(flip)),flip(a)]. 7828 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(198,a,7187,a,b,7814,a(flip)),flip(a)]. 7829 K((x * y) / x,z) = K(y,T(z,x)). [hyper(198,a,7191,a(flip),b,7814,a(flip))]. 7830 K(x \ y,T(z,x)) = K(y / x,z). [hyper(198,a,7189,a(flip),b,7814,a(flip)),flip(a)]. 7831 K(x,T(y \ z,y)) = K(x,z / y). [para(108(a,1),7814(a,1,2,1))]. 7832 K(x,(y * z) / y) = K(x,T(z,y)). [para(144(a,1),7814(a,1,2,1)),flip(a)]. 7833 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(712(a,2),7814(a,1,2))]. 7834 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [para(7814(a,1),7195(a,1,2)),flip(a)]. 7835 K(x / (x / y),z) = K(y,T(z,x)). [hyper(7253,a,7819,a),flip(a)]. 7836 K(T(x,y),z \ y) = K(x,y / z). [hyper(7129,a,7819,a)]. 7838 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(198,a,7493,a(flip),b,7819,a(flip)),flip(a)]. 7839 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),7819(a,1,2))]. 7840 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),7819(a,1,2))]. 7841 K(T(x,y),y \ z) = K(x,z / y). [para(108(a,1),7819(a,1,2))]. 7842 K(x,(y * z) / y) = K(T(x,y),z). [para(144(a,1),7819(a,1,2)),flip(a)]. 7843 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(685(a,2),7819(a,1,2)),flip(a)]. 7844 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(944(a,1),7819(a,1,2))]. 7845 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1316(a,1),7819(a,1,1)),flip(a)]. 7846 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4141(a,1),7819(a,1,2))]. 7847 K(x * K(y,x),z) = K(x,T(z,y)). [para(4893(a,1),7819(a,1,1)),flip(a)]. 7848 K(x,y * K(z,y)) = K(T(x,z),y). [para(4893(a,1),7819(a,1,2)),flip(a)]. 7849 x * K(T(x,y),T(z,y)) = T(x,z). [para(7819(a,2),4924(a,2,2)),flip(a)]. 7850 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(7819(a,1),5381(a,1,1)),flip(a)]. 7851 R(x,T(y,z),K(y,u)) = x. [para(7819(a,1),6295(a,1,3))]. 7852 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(7819(a,1),6605(a,1,1))]. 7853 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7819(a,1),6946(a,1,1))]. 7854 K(x,T(y,z)) \ z = z * K(y,x). [para(7819(a,1),7152(a,1,2)),flip(a)]. 7855 K(x,T(y,z)) * (z * K(y,x)) = z. [para(7819(a,1),7155(a,1,2,2))]. 7856 R(x,T(y,z),T(K(y,u),w)) = x. [para(5641(a,1),7851(a,1,3))]. 7857 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(198,a,7733,a,b,7800,a(flip)),flip(a)]. 7858 x * ((x * K(y,z)) / x) = K(y,z) * x. [para(7804(a,2),106(a,1,2))]. 7860 K(x / y,y / z) = K(y \ x,z \ y). [hyper(6529,a,7807,a),flip(a)]. 7861 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(198,a,5704,a,b,7807,a)]. 7862 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(198,a,7112,a,b,7807,a(flip)),flip(a)]. 7864 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(7807(a,1),7118(a,1,2))]. 7865 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(7807(a,1),7255(a,1))]. 7867 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(198,a,6490,a(flip),b,7808,a(flip)),flip(a)]. 7868 x / K(x / y,z) = K(y \ x,z) \ x. [para(7808(a,1),7282(a,1,2))]. 7869 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(18,a,6119,a,b,7813,a)]. 7870 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,5782,a,b,7813,a)]. 7872 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(18,a,5916,a(flip),b,7813,a)]. 7873 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(66,a,7813,a(flip),b,4897,a)]. 7874 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(7813(a,2),19(a,1))]. 7875 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7813(a,1),563(a,1,2,1)),flip(a)]. 7876 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7813(a,1),4896(a,1,2)),flip(a)]. 7877 (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(7813(a,1),5316(a,1,1,3)),flip(a)]. 7878 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6488(a,1),7813(a,1,1))]. 7879 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7091,a,7820,a)]. 7881 K(x / y,z / x) = K(y \ x,x \ z). [para(108(a,1),7820(a,1,2)),flip(a)]. 7883 (x * L(K(y,z),u,w)) / x = L(K(y,T(z,x)),u,w). [para(7822(a,1),740(a,1,1)),flip(a)]. 7884 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7822(a,1),741(a,1,1)),flip(a)]. 7885 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(198,a,5694,a,b,7829,a(flip)),flip(a)]. 7886 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(81(a,1),7829(a,1,1,1))]. 7887 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3959(a,1),7829(a,1,1))]. 7888 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(7829(a,1),4924(a,2,2)),flip(a)]. 7889 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(6382,a,7830,a)]. 7890 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(4141(a,1),7830(a,1,2)),flip(a)]. 7891 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(7830(a,1),6251(a,1,2)),flip(a)]. 7892 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(24(a,2),7831(a,1,2,1)),flip(a)]. 7893 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(28(a,2),7831(a,1,2,1)),flip(a)]. 7894 K(x,T(L(y \ z,y,u),u * y)) = K(x,(u * z) / (u * y)). [para(94(a,2),7831(a,1,2,1))]. 7897 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(752(a,1),7832(a,1,2)),flip(a)]. 7898 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(749(a,1),7832(a,1,2)),flip(a)]. 7899 K(x,T(y \ z,z)) = K(x,z / y). [hyper(7577,a,7836,a)]. 7901 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4085(a,1),7841(a,1,1))]. 7902 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(198,a,5103,a,b,7842,a(flip)),flip(a)]. 7903 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(746(a,2),7842(a,1,2))]. 7904 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(7848(a,1),5543(a,1,2,1))]. 7905 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(4982(a,1),7849(a,1,2,2)),flip(a)]. 7906 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(198,a,7733,a,b,7857,a)]. 7907 K(x,y / (y / z)) = K(x,T(z,y)). [para(60(a,1),7899(a,1,2,1)),flip(a)]. 7908 K(x,K(y,x * z)) = K(x,K(y,z)). [para(13(a,1),7906(a,1,2,2)),flip(a)]. 7910 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7907(a,1),6872(a,1,2))]. 7911 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(7907(a,2),7225(a,1))]. 7913 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(6062(a,2),7705(a,1))]. 7917 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7714(a,2),7705(a,1))]. 7919 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7172(a,1),7761(a,1,2))]. 7920 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7680(a,2),7761(a,1))]. 7926 K(x,K(y,z)) \ K(y,x) = K(y,T(x,z)). [hyper(198,a,7094,a,b,7682,a)]. 7927 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7226(a,1),7682(a,1,1,2))]. 7928 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7690(a,2),7575(a,1))]. 7929 T(K(x,y),z) != u | K(x,y) * K(x,K(y,z)) = u. [para(7691(a,1),6080(a,1))]. 7930 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7106(a,1),7691(a,1,1,2)),flip(a)]. 7931 K(x,T(y,z)) * K(y,x) = K(x,K(y,z)). [hyper(17,a,5315,a,b,7692,a),flip(a)]. 7932 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7692(a,1),19(a,1))]. 7933 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(198,a,7730,a(flip),b,7710,a)]. 7934 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(198,a,7684,a(flip),b,7710,a)]. 7935 T(x,K(y,z * y)) = T(x,K(z,y)). [para(5504(a,2),7933(a,1,2))]. 7936 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7933(a,1),7790(a,1,1))]. 7938 T(x,K(y,y * T(x,z))) = x. [hyper(198,a,7139,a(flip),b,7934,a)]. 7939 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(14(a,1),7934(a,1,2,2)),flip(a)]. 7940 T(x,K(y,z / y)) = T(x,K(y,z)). [para(5505(a,1),7934(a,1,2)),flip(a)]. 7941 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(35,a,7938,a)]. 7942 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7172(a,1),7724(a,1,2,2))]. 7943 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(7705,a,7728,a)]. 7944 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(1807,a,7739,a)]. 7945 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7746(a,1),4896(a,1,2)),flip(a)]. 7946 K(x,T(y,z)) != u | K(x,K(z,y)) * K(x,y) = u. [para(7747(a,1),6080(a,1))]. 7947 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7190(a,1),7747(a,1,2,2))]. 7948 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7771(a,1),7748(a,1,2))]. 7949 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(5888(a,1),7766(a,2,2,1))]. 7950 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(150,a,7287,a,b,7776,a)]. 7951 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(7390(a,1),7776(a,1,2)),flip(a)]. 7952 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(6075(a,1),7778(a,1,2)),flip(a)]. 7953 T(T(x,1 / (y / z)),K(u,z / y)) = x * T(K(x,1 / (y / z)),u). [para(5490(a,1),7780(a,1,2))]. 7954 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(198,a,7934,a(flip),b,7782,a(flip)),flip(a)]. 7955 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(7782(a,1),160(a,1,2,1)),flip(a)]. 7956 K(x,y) \ (z / K(y,x)) = T(z,K(y,x)). [hyper(65,a,7384,a,b,7785,a)]. 7958 T(x,K(y,z)) * K(y,y * z) = K(y * z,y) \ x. [para(7934(a,1),7791(a,1,1))]. 7959 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(7761,a,7798,a),flip(a)]. 7960 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(7811(a,1),191(a,1,2))]. 7961 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(7811(a,2),7427(a,2,2,1)),flip(a)]. 7962 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(5647,a,7817,a)]. 7963 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(198,a,6048,a,b,7818,a(flip)),flip(a)]. 7964 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(198,a,5515,a,b,7826,a)]. 7965 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(7826(a,1),4875(a,2,2))]. 7966 T(T(x,T(y,z)),T(T(z,y),u)) = T(x,T(y,z)) * K(x,T(z,u)). [para(4089(a,1),7834(a,1,2))]. 7967 T(T(x,T(T(y,z),u)),T(z,T(y,u))) = T(x,T(T(y,z),u)) * K(x,z). [para(4090(a,1),7834(a,1,2))]. 7969 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(7858(a,1),4649(a,1,2,1)),flip(a)]. 7972 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(32(a,2),7861(a,1,1,1)),flip(a)]. 7973 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(7869(a,1),7739(a,1,2))]. 7974 K(x,T(1 / (y \ z),y)) = K(x,y / z). [hyper(198,a,3511,a,b,7872,a(flip)),flip(a)]. 7975 K(x,((y \ z) * y) \ y) = K(x,y / z). [hyper(198,a,7314,a(flip),b,7872,a(flip)),flip(a)]. 7976 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7635(a,1),7873(a,1,1,2))]. 7977 T(x,T(y,K(z,x))) = T(x,y). [hyper(18,a,5228,a(flip),b,7876,a)]. 7978 T(x,T(y,z / T(x,y))) * (z / T(x,y)) = x * (z / x). [para(6253(a,1),7876(a,2,2))]. 7979 T(x,T(y,z)) * z = x * ((z / x) * T(x,y)). [para(6256(a,2),7876(a,2,2))]. 7980 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7876(a,2),6946(a,1,2))]. 7981 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7516(a,1),7977(a,1,2))]. 7982 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(108(a,1),7981(a,1,2,2)),flip(a)]. 7984 K(x,K(y,z)) \ K(x,y) = K(x,T(y,z)). [para(7711(a,1),7926(a,1,1))]. 7985 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(198,a,7857,a(flip),b,7943,a(flip))]. 7986 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(7944(a,1),7408(a,1,1)),flip(b)]. 7987 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(7952(a,1),7790(a,1,1)),flip(a)]. 7988 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(198,a,7767,a(flip),b,7959,a)]. 7989 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(57(a,1),7988(a,1,2,1)),flip(a)]. 7990 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(7761,a,7989,a)]. 7991 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(198,a,7733,a,b,7990,a)]. 7992 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(198,a,7768,a,b,7990,a(flip)),flip(a)]. 7993 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(198,a,7768,a,b,7991,a(flip)),flip(a)]. 7994 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(7761,a,7992,a)]. 7995 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(7737,a,7992,a)]. 7996 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(198,a,7711,a,b,7992,a)]. 7998 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6455(a,1),7992(a,1,2)),flip(a)]. 7999 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(7752,a,7993,a)]. 8000 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(7737,a,7993,a)]. 8001 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(60(a,1),7993(a,1,2,2)),flip(a)]. 8002 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5488(a,1),7993(a,1,2))]. 8003 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5491(a,2),7993(a,1,2))]. 8004 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6455(a,1),7993(a,1,2))]. 8005 T(x,K(y,z \ 1)) = K(y,K(x,z)) * x. [para(7993(a,1),7718(a,1,1)),flip(a)]. 8006 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(7993(a,1),7690(a,1,2))]. 8007 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(198,a,7711,a,b,7994,a)]. 8008 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(65,a,7994,a(flip),b,5636,a(flip))]. 8009 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5891(a,2),7994(a,1,2))]. 8010 K(1 / x,K(y,z)) = K(y,K(x,z)). [hyper(5829,a,7995,a)]. 8011 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(198,a,7711,a,b,7995,a)]. 8012 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(60(a,1),7996(a,1,2,2)),flip(a)]. 8013 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(5901(a,1),7999(a,1,2)),flip(a)]. 8014 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(198,a,5878,a,b,8000,a(flip)),flip(a)]. 8015 T(1 / x,K(y,z)) = K(y,K(z,x)) / x. [hyper(66,a,8000,a(flip),b,5199,a),flip(a)]. 8016 K(1 / x,K(y,z)) != u | K(y,K(z,x)) = u. [para(8010(a,2),7761(a,1))]. 8017 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(198,a,5796,a(flip),b,8012,a(flip)),flip(a)]. 8018 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8012(a,2),7761(a,1))]. 8019 K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). [para(144(a,1),7962(a,1,2,2,1)),flip(a)]. 8020 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(166(a,1),7962(a,1,2,2,1))]. 8021 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(7963(a,1),4882(a,2,2))]. 8022 T(x,T(T(y,z),z)) = T(x,y). [hyper(17,a,7333,a,b,7964,a(flip)),flip(a)]. 8023 (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(7964(a,2),158(a,1,1,1))]. 8024 T(T(x,y),y) * T(z,x) = z * T(T(x,y),y). [para(8022(a,1),106(a,1,2))]. 8025 T(x,T(y \ z,y)) = T(x,z / y). [para(108(a,1),8022(a,1,2,1))]. 8026 T(x,(y * z) / y) = T(x,T(z,y)). [para(144(a,1),8022(a,1,2,1)),flip(a)]. 8027 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(163(a,1),8022(a,1,2,1))]. 8028 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4893(a,1),8022(a,1,2,1)),flip(a)]. 8030 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(746(a,2),8026(a,1,2))]. 8031 T(x,K(y,z) \ y) = T(x,T(y,z)). [para(5038(a,2),8026(a,1,2))]. 8032 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(5066(a,2),8026(a,1,2))]. 8033 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6116(a,1),8026(a,1,2,1)),flip(a)]. 8034 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(198,a,4552,a,b,8028,a(flip)),flip(a)]. 8035 (K(x,y) \ x) * T(z,T(x,y)) != u | z * (K(x,y) \ x) = u. [para(8031(a,1),215(a,1,2))]. 8036 K(x,T(1 / y,z)) = K(x,z / (z * y)). [para(13(a,1),7974(a,1,2,1,2))]. 8037 K(x,y / (y * z)) = K(x,(z * y) \ y). [para(13(a,1),7975(a,1,2,1,1)),flip(a)]. 8038 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(198,a,7340,a(flip),b,7982,a)]. 8039 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(57(a,1),8038(a,1,2,2)),flip(a)]. 8040 K(x,K(y,z \ x)) = K(x,K(z,y)). [hyper(198,a,7800,a(flip),b,7998,a(flip))]. 8041 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6689(a,1),7998(a,1,2)),flip(a)]. 8042 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(7998(a,1),7761(a,1))]. 8043 K(x,K(y,z \ x)) = K(x,K(y,z)). [hyper(198,a,7733,a,b,8040,a)]. 8044 K(x,K(x / y,z)) = K(x,K(z,y)). [para(60(a,1),8040(a,1,2,2)),flip(a)]. 8045 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(8040(a,1),4924(a,2,2))]. 8046 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(6481,a,8043,a)]. 8047 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(198,a,7733,a,b,8044,a)]. 8048 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(8044(a,2),7761(a,1))]. 8049 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(198,a,8046,a(flip),b,8003,a(flip)),flip(a)]. 8050 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(8003(a,2),7761(a,1))]. 8051 K(x,K(y,z * x)) = K(x,K(z,y)). [hyper(198,a,7733,a,b,8049,a)]. 8052 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(198,a,7718,a(flip),b,8005,a)]. 8053 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(7794,a,8052,a)]. 8054 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(7584,a,8052,a),flip(a)]. 8055 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(198,a,7773,a,b,8052,a)]. 8056 T(x,K(y,1 / z)) = T(x,K(y,z)). [para(60(a,1),8052(a,1,2,2)),flip(a)]. 8057 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6455(a,1),8052(a,1,2))]. 8058 T(T(x,K(y,z)),z \ 1) = T(x,T(z \ 1,y)). [para(8052(a,1),7790(a,1,1))]. 8059 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(198,a,7773,a,b,8053,a)]. 8060 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6361(a,1),8053(a,1,2))]. 8061 T(x,K(y \ 1,z)) != u | T(x,K(y,z)) = u. [para(8053(a,2),7794(a,1))]. 8063 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8059(a,2),7794(a,1))]. 8064 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(198,a,7697,a(flip),b,8015,a),flip(a)]. 8065 K((x * y) / x,x / (x * z)) = K(y,1 / z). [hyper(198,a,7191,a(flip),b,8036,a(flip))]. 8066 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8039(a,1),7602(a,1,2))]. 8067 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(198,a,4924,a,b,8045,a)]. 8068 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(198,a,7750,a(flip),b,8045,a)]. 8070 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(65,a,8067,a(flip),b,7361,a)]. 8071 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(6479,a,8068,a)]. 8072 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(8068(a,1),7789(a,1,1))]. 8073 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(8071(a,1),5796(a,2,1,1))]. 8074 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(7584,a,8054,a),flip(a)]. 8075 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(198,a,4924,a(flip),b,8074,a)]. 8076 T(x,T(y,1 / z)) = T(x,T(y,z)). [para(60(a,1),8074(a,1,2,2)),flip(a)]. 8077 T(1 / x,T(y,x)) != z | T(1 / x,y) = z. [para(8076(a,1),4167(a,1))]. 8078 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(198,a,8068,a(flip),b,8057,a)]. 8079 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(198,a,8067,a(flip),b,8057,a)]. 8081 T(x,K(y,x * z)) = T(x,K(y,z)). [para(13(a,1),8078(a,1,2,2)),flip(a)]. 8082 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(198,a,7773,a,b,8081,a)]. 8083 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8082(a,1),7790(a,1,1))]. 8085 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(198,a,7939,a(flip),b,8060,a)]. 8086 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(8060(a,1),7794(a,1))]. 8087 T(x,K(y,y / z)) = T(x,K(z,y)). [para(60(a,1),8085(a,1,2,1)),flip(a)]. 8088 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(7363(a,1),8064(a,1,2)),flip(a)]. 8089 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5000,a,8075,a)]. 8090 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(198,a,7243,a(flip),b,8089,a(flip))]. 8091 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(198,a,7092,a(flip),b,8089,a(flip)),flip(a)]. 8092 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(60(a,1),8089(a,1,2,2)),flip(a)]. 8093 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6435(a,1),8089(a,1,2))]. 8094 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(8089(a,1),7113(a,1,2))]. 8095 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(13(a,1),8091(a,1,2,2))]. 8097 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [para(236(a,1),8090(a,2,2))]. 8098 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(571(a,1),8090(a,1,2)),flip(a)]. 8099 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(571(a,1),8090(a,2,2))]. 8100 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(198,a,7226,a(flip),b,8093,a)]. 8101 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(8093(a,1),7091(a,1))]. 8104 K(x,T(y * (z \ x),z)) = K(x,T(y * (z \ x),y)). [hyper(198,a,8100,a(flip),b,8095,a(flip)),flip(a)]. 8106 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(7846(a,2),7911(a,1))]. 8109 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(7715(a,2),8016(a,1))]. 8110 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(7711(a,1),8048(a,1))]. 8111 T(x,K(y,x \ (z \ 1))) != u | T(x,K(z,y)) = u. [para(8079(a,2),8061(a,1))]. 8113 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7092(a,2),8101(a,1))]. 8114 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(7311(a,1),8101(a,1))]. 8115 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5490(a,1),8109(a,1,2))]. 8116 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(5494(a,2),8109(a,1,2))]. 8117 K(x,K(y,z * K(u,w))) != v5 | K(x,K(y,K(w,u) / z)) = v5. [para(7414(a,1),8109(a,1,2))]. 8118 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4301(a,1),8113(a,1,2))]. 8119 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(14(a,1),7632(a,1,2,2,2))]. 8120 K(x,y) \ ((x \ z) * x) = (x \ (K(x,y) \ z)) * x. [para(5232(a,2),7641(a,2,1))]. 8121 x / (x / T(y,z)) = T(x / (x / y),z). [para(4848(a,2),7646(a,1,1)),flip(a)]. 8124 T(x / (x / y),z) \ x = x / T(y,z). [para(8121(a,1),60(a,1,1))]. 8127 x / T(y \ x,z) = T(x / y,z) \ x. [para(57(a,1),8124(a,1,1,1,2)),flip(a)]. 8129 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5550(a,1),8124(a,1,1,1))]. 8130 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(8127(a,1),60(a,1,1))]. 8131 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(57(a,1),8130(a,1,1,1,1))]. 8132 ((x \ T(y,x)) \ y) \ y = T(T(x,y) \ y,x). [para(4118(a,1),8130(a,1,1,1))]. 8133 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(8130(a,1),7095(a,1,2)),flip(a)]. 8134 T(T(x,x \ y),z) = (T(x,z) \ y) \ y. [hyper(198,a,584,a,b,8131,a),flip(a)]. 8135 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(198,a,233,a,b,8131,a),flip(a)]. 8137 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. [para(108(a,1),8131(a,1,1,1)),flip(a)]. 8139 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(8134(a,2),57(a,1,2))]. 8140 (x \ T(y,x)) \ y = T(T(x,y),x \ y). [para(4088(a,1),8135(a,2,1)),flip(a)]. 8141 T(x,y) * ((T(x,y) * (x \ y)) / T(x,y)) = ((x \ T(y,x)) \ y) * (x \ y). [para(8140(a,2),3925(a,1,1)),flip(a)]. 8142 T((x \ T(y,x)) \ y,K(z,x \ y)) = T(T(x,y),T(x \ y,z)). [para(8140(a,2),7774(a,1,1))]. 8143 K(((x \ y) * z) / (x \ y),T(x,y)) = K(z,(x \ T(y,x)) \ y). [para(8140(a,2),7829(a,2,2))]. 8144 K(x,T(y,z)) \ ((R(z,u,w) * T(y,z)) / T(y,z)) = (T(T(y,z),x) * R(T(z,y),u,w)) / T(y,z). [para(4099(a,1),7647(a,1,2,1))]. 8145 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(7664(a,1),6155(a,1,1,1))]. 8146 ((x \ y) * T(x,z)) * T(K(x,u),y) != w | K(x,u) * ((x \ y) * T(x,z)) = w. [para(7676(a,1),215(a,1,2))]. 8147 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3216,a,7681,a),flip(a)]. 8148 K(x,K(y,R(x,z,u))) = 1. [para(105(a,1),8147(a,1,2,2,1))]. 8149 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,8148,a)]. 8150 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(8149(a,1),38(a,1,1)),flip(a)]. 8152 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7384(a,2),7734(a,1,2))]. 8153 T(x,K(y,z * x)) = T(x,K(y,x * z)). [hyper(7719,a,7772,a),flip(a)]. 8154 T(x,K(y,z * x)) = T(x,K(y,z)). [hyper(198,a,8081,a(flip),b,8153,a)]. 8155 T(x,K(y,z / x)) = T(x,K(y,z)). [para(16(a,1),8154(a,1,2,2)),flip(a)]. 8156 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8025(a,1),7801(a,1,1))]. 8157 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(7805(a,1),5173(a,1))]. 8158 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6360(a,2),8157(a,1))]. 8160 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7094(a,2),8157(a,1))]. 8161 (x * T(y,z)) / (x * y) = K(y,z) * K(y,K(z,x * y)). [hyper(198,a,7690,a,b,7806,a)]. 8162 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4141(a,1),7827(a,1,1,1)),flip(a)]. 8163 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(6651,a,7828,a)]. 8164 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1512(a,1),7828(a,1,1))]. 8165 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(4893(a,1),7833(a,1,2,1,1)),flip(a)]. 8166 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(198,a,7633,a(flip),b,7838,a(flip))]. 8167 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1512(a,1),7839(a,1,2))]. 8168 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(6376(a,1),7845(a,1,1))]. 8169 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(7964(a,1),7850(a,1,1))]. 8170 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(198,a,7180,a(flip),b,7862,a(flip))]. 8171 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(198,a,6773,a(flip),b,7867,a)]. 8172 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(7867(a,2),6774(a,1))]. 8173 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(7870(a,1),4924(a,2,2))]. 8174 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(7870(a,2),5561(a,1))]. 8175 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(198,a,7391,a(flip),b,7878,a)]. 8176 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(6074(a,1),8175(a,1,1))]. 8177 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7094(a,2),8175(a,1,1))]. 8178 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(7879(a,1),7113(a,1,2)),flip(a)]. 8179 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(198,a,7830,a(flip),b,7887,a(flip)),flip(a)]. 8180 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(7941(a,1),7316(a,2,1))]. 8181 T(x * T(y,z),K(y,z)) = T(y,z) * T(x,y). [hyper(198,a,5219,a(flip),b,7951,a)]. 8182 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(7951(a,1),7172(a,1,1)),flip(a)]. 8184 x \ (T(x,T(y,z)) * z) = (z / x) * T(x,y). [hyper(486,a,7979,a)]. 8185 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(7987(a,1),215(a,1,2))]. 8186 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(198,a,7690,a(flip),b,8006,a(flip))]. 8187 K(T(x,y \ 1),z) = T(K(x,z),y). [hyper(7256,a,8186,a)]. 8188 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8186(a,1),5840(a,1))]. 8191 K(x,1 / T(1 / y,z)) = K(x,y * K(1 / y,z)). [hyper(198,a,6502,a(flip),b,8019,a(flip))]. 8192 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(198,a,4882,a,b,8021,a)]. 8193 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(108(a,1),8192(a,1,2,2,1))]. 8194 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5397(a,1),8032(a,1,2,1))]. 8195 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,T((y \ z) \ 1,y)). [para(7939(a,1),8058(a,1,1))]. 8196 K((x * y) / x,1 / ((x * z) / x)) = K(y,1 / z). [hyper(5627,a,8065,a)]. 8197 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(108(a,1),8066(a,1,2,2)),flip(a)]. 8198 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(4271,a,8083,a)]. 8202 (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). [para(8137(a,1),106(a,1,2)),flip(a)]. 8205 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(6099(a,1),8152(a,1,1,2))]. 8206 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7679(a,1),8169(a,2,1))]. 8207 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(198,a,7830,a(flip),b,8170,a)]. 8208 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(4903,a,8176,a)]. 8209 T(x,y) * T(z / T(x,y),x) = T(z,K(x,y)). [para(16(a,1),8181(a,1,1)),flip(a)]. 8210 T(T(x,y) * T(z,x),T(x,y)) = T(z * T(x,y),x). [para(8181(a,1),7795(a,1,1))]. 8211 x \ (T(x,T(T(y,z),u)) * z) = (z / x) * T(x,T(y,u)). [para(38(a,1),8184(a,1,2,1,2))]. 8212 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(4080(a,1),8193(a,1,2,2))]. 8213 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8198(a,1),160(a,1,2))]. 8214 T(x,y) * ((z / T(x,y)) * x) = x * T(z,K(x,y)). [para(8209(a,1),966(a,1,2)),flip(a)]. 8215 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(198,a,6605,a(flip),b,7047,a)]. 8216 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(406(a,1),8215(a,1,2)),flip(a)]. 8217 x * K(y,T(x,z)) != u | K(x,T(y,z)) \ x = u. [para(7141(a,1),7204(a,1))]. 8218 x * K(y,z) != u | K(z,T(y,x)) \ x = u. [para(7813(a,1),7204(a,1))]. 8219 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5281(a,1),7205(a,1))]. 8220 K(x,(K(y,z / x) \ z) \ u) != w | K(x,T(x \ z,y) \ (x \ u)) = w. [para(5280(a,2),7252(a,1,2,1))]. 8221 T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u. [para(6257(a,1),7364(a,1,1))]. 8223 (x * (y * z)) * K(z,L(y,z,x)) != u | x * (z * y) = u. [para(7406(a,1),212(a,1,2)),flip(b)]. 8224 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7407(a,1),19(a,1)),flip(a)]. 8227 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(792(a,1),7465(a,1,1))]. 8228 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(4115,a,7508,a)]. 8232 T(x \ y,K(z,x)) != u | x \ T(y,K(x,z)) = u. [para(7773(a,1),7568(a,1))]. 8233 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(92(a,1),7593(a,1,2))]. 8234 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6610(a,1),7605(a,1,1))]. 8235 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(198,a,6591,a(flip),b,8234,a(flip))]. 8236 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7926(a,1),7685(a,1))]. 8242 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7745(a,2),7700(a,1,2))]. 8243 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(7985(a,2),7919(a,1))]. 8244 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7318(a,1),7928(a,1,2))]. 8245 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7094(a,2),7929(a,1))]. 8247 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(8100(a,2),8114(a,1))]. 8248 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(4080(a,2),8158(a,1,1))]. 8249 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7172(a,1),8248(a,1))]. 8250 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(3511(a,2),8174(a,1))]. 8251 K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. [para(7314(a,1),8174(a,1))]. 8252 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7171(a,1),8219(a,1,1))]. 8253 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(13(a,1),8250(a,1,2,1,2))]. 8254 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(6069(a,2),8252(a,1))]. 8255 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(390,a,7029,a)]. 8256 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(198,a,6610,a(flip),b,8255,a(flip)),flip(a)]. 8257 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(40(a,1),8256(a,1,2))]. 8259 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(198,a,7899,a(flip),b,7044,a(flip))]. 8260 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8259(a,2),7156(a,1,1))]. 8261 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(2257,a,7054,a(flip))]. 8262 K(x,y) \ R(y,z,y) = R(T(y,x),z,y). [hyper(5307,a,8261,a)]. 8263 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(65,a,8261,a(flip),b,4897,a)]. 8264 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),7097(a,2,2))]. 8265 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(7142(a,1),7124(a,1,1,2)),flip(a)]. 8266 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7678(a,1),7126(a,1,1))]. 8267 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2888(a,1),7158(a,1,2,2))]. 8268 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),7241(a,2,2))]. 8269 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(71,a,7247,a)]. 8270 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(198,a,4701,a(flip),b,7261,a(flip))]. 8271 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(198,a,4700,a(flip),b,7261,a(flip))]. 8272 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(64,a,4700,a(flip),b,7261,a(flip)),flip(a)]. 8273 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(8272(a,1),6908(a,2,2))]. 8274 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(7283(a,1),944(a,1,1,2))]. 8275 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7306(a,1),7776(a,1,2))]. 8276 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5435(a,1),7327(a,1,2))]. 8277 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | R(y,y \ 1,x \ R(x,y \ 1,x)) = z. [para(8276(a,1),522(a,1,2))]. 8278 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7347(a,1),5248(a,1,2))]. 8279 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4569(a,1),7366(a,1,1))]. 8280 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(18,a,4937,a(flip),b,7374,a),flip(a)]. 8281 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5856(a,1),8280(a,1,1,2))]. 8282 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8281(a,1),5695(a,1,1,1,2)),flip(a)]. 8283 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(198,a,6942,a(flip),b,7425,a(flip))]. 8284 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(8283(a,1),14(a,1,2))]. 8285 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [para(8283(a,1),57(a,1,2))]. 8287 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(8283(a,1),6004(a,1,1)),flip(a)]. 8288 (x * R(K(y,z),u,w)) \ x != v5 | R(K(z,y),u,w) = v5. [para(8284(a,1),191(a,1,2)),flip(b)]. 8290 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5048,a,7475,a),flip(a)]. 8291 T(x,(y * z) \ z) != u | T(x,z \ (y \ z)) = u. [para(7475(a,1),5048(a,1))]. 8292 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(198,a,7328,a,b,8290,a(flip)),flip(a)]. 8293 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(198,a,6442,a,b,8290,a(flip)),flip(a)]. 8294 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(60(a,1),8292(a,2,2,2))]. 8295 K(x,T(y,z \ (u \ z))) = K(x,T(y,T(u,z))). [para(8293(a,1),8089(a,1,2))]. 8296 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8293(a,1),8113(a,1,2))]. 8297 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8294(a,1),7802(a,1,1)),flip(a)]. 8298 T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u. [para(7328(a,2),8291(a,1))]. 8299 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(198,a,7036,a(flip),b,7495,a)]. 8300 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(198,a,7153,a(flip),b,7511,a(flip))]. 8301 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8022(a,1),8300(a,1,1,2))]. 8302 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7630(a,1),6795(a,1,2))]. 8303 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(13(a,1),7637(a,1,1,2)),flip(a)]. 8304 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(108(a,2),7655(a,1,1))]. 8305 T((x \ y) * T(x,z),x) = (x \ T(y,x)) * T(x,z). [para(1340(a,1),7660(a,1,1)),flip(a)]. 8306 K(x,T(y,z)) \ (K(x,y) * u) = K(K(z,x),y) * u. [para(7094(a,2),7702(a,1,1))]. 8307 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7377(a,1),7706(a,1,1)),flip(a)]. 8308 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2888(a,1),7815(a,1,1))]. 8309 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4454,a,7816,a)]. 8310 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(605,a,8309,a)]. 8311 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(6518,a,7888,a)]. 8312 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5311,a,8311,a)]. 8313 K(x,y) \ ((x * T(y,z)) / x) = T(y,T(z,x)). [hyper(65,a,369,a,b,8311,a)]. 8315 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(608(a,1),8312(a,1,2))]. 8316 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4894(a,1),8312(a,1,2,1))]. 8317 K(x,y) \ T(K(y,x) \ y,z) = T(y,T(z,x)). [para(5114(a,2),8313(a,1,2))]. 8318 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6439(a,1),8316(a,1,2)),flip(a)]. 8319 K(x,y) \ T(x,T(z,y)) = T(K(x,y) \ x,z). [hyper(65,a,8317,a(flip),b,5281,a(flip))]. 8320 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(350(a,1),7890(a,1,1,2))]. 8321 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(7903(a,1),4924(a,2,2))]. 8323 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(198,a,4729,a,b,7905,a(flip)),flip(a)]. 8324 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(198,a,7691,a(flip),b,7930,a)]. 8325 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(6071(a,1),8324(a,1,2))]. 8326 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4248(a,1),7942(a,1,2,2,2))]. 8327 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5822(a,1),8009(a,2,2))]. 8328 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7995(a,1),8014(a,1,1))]. 8329 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8000(a,1),8014(a,1,1))]. 8330 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8011(a,1),8014(a,1,1))]. 8331 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(198,a,8328,a(flip),b,8329,a(flip))]. 8332 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8329(a,1),92(a,1,2))]. 8334 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(198,a,8329,a(flip),b,8330,a(flip))]. 8335 K(x,K(L(y,z,u),w)) = K(x,K(y,L(w,z,u))). [hyper(7761,a,8331,a)]. 8336 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(198,a,8047,a,b,8331,a),flip(a)]. 8337 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(196(a,1),8334(a,2,2,2))]. 8338 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8334(a,2),7713(a,1))]. 8339 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(198,a,5648,a(flip),b,8020,a(flip)),flip(a)]. 8340 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),8030(a,2,2))]. 8341 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(4164(a,1),8070(a,1,1,1,1))]. 8342 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(198,a,7812,a(flip),b,8072,a)]. 8343 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7225,a,8097,a)]. 8344 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8098(a,1),5098(a,1,2))]. 8345 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(8098(a,2),7724(a,2,1))]. 8346 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(198,a,8100,a(flip),b,8119,a)]. 8347 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(8129(a,1),6876(a,1,3,2))]. 8348 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(198,a,4924,a,b,8173,a)]. 8349 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),8348(a,1,2,1,1)),flip(a)]. 8350 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(5036(a,1),8349(a,1,2)),flip(a)]. 8351 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(8298,a,8350,a),flip(a)]. 8352 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(198,a,5340,a(flip),b,8351,a(flip)),flip(a)]. 8353 K(x,y * K(1 / y,z)) = T(K(x,y),z). [hyper(198,a,5648,a(flip),b,8191,a(flip))]. 8354 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(6031(a,1),8353(a,1,2,2))]. 8355 (((x * y) / x) \ z) * K(y,1 / y) = (1 / (1 / ((x * y) / x))) \ z. [para(8196(a,1),5765(a,1,2))]. 8356 (x \ y) * ((((x \ y) \ y) \ z) \ z) = ((x \ z) \ z) * (x \ y). [para(57(a,1),8202(a,1,1,1,1)),flip(a)]. 8358 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8208(a,1),3241(a,1,2)),flip(a)]. 8359 T(T(x,y) * T((x \ z) / x,x),T(x,y)) = T(x \ ((z / x) * T(x,y)),x). [para(7665(a,2),8210(a,2,1))]. 8360 T(x,y) \ (x * T(z,K(x,y))) = (z / T(x,y)) * x. [hyper(71,a,8214,a)]. 8361 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7094(a,2),8264(a,1,1))]. 8362 K(x,y) \ (K(x,K(y,z)) \ u) = K(x,T(y,z)) \ u. [hyper(519,a,8266,a),flip(a)]. 8363 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7800(a,1),8266(a,1,1))]. 8364 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),8268(a,1,2,1,2)),flip(a)]. 8365 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(8271(a,1),19(a,1))]. 8366 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),8299(a,1,1,1,1,2))]. 8367 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4711(a,1),8299(a,1,1))]. 8368 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1650(a,1),8303(a,1,2)),flip(a)]. 8369 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1699(a,1),8303(a,1,2)),flip(a)]. 8370 K(x,T(y,z)) * (K(y,x) * u) = K(K(z,y),x) * u. [hyper(7205,a,8306,a)]. 8371 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5824(a,1),8307(a,1,1))]. 8372 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5000,a,8323,a)]. 8373 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5715(a,1),8372(a,1,2,1)),flip(a)]. 8374 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(196(a,1),8336(a,1,2,2)),flip(a)]. 8375 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4149(a,1),8340(a,1,2,1)),flip(a)]. 8376 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [hyper(5225,a,8342,a)]. 8377 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(17,a,7721,a,b,8342,a(flip)),flip(a)]. 8378 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(5497(a,2),8376(a,2,2)),flip(a)]. 8379 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(7715(a,2),8376(a,1,1))]. 8380 K(x,y / z) \ K(x,K(y,z)) = K(z \ y,x). [para(8377(a,1),7385(a,1,1))]. 8381 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [hyper(7758,a,8379,a)]. 8382 (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(8379(a,1),5001(a,1,1,1))]. 8383 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [para(7711(a,1),8381(a,1,1))]. 8384 K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(2724(a,2),8383(a,2,2))]. 8385 T(x,y) \ (x * (x * T(z,T(x,y)))) = ((z * x) / T(x,y)) * x. [para(6539(a,1),8360(a,1,2,2))]. 8386 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),8361(a,1,2)),flip(a)]. 8387 K(x,y) \ (K(y,T(x,z)) \ u) = K(y,K(x,z)) \ u. [hyper(65,a,8362,a(flip),b,5281,a(flip))]. 8388 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5182,a,8364,a)]. 8389 K(x,T(y,z)) * (K(y,x) * u) = K(y,K(x,z)) * u. [para(7712(a,1),8370(a,2,1))]. 8390 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(198,a,296,a(flip),b,8386,a)]. 8391 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(198,a,7094,a(flip),b,8390,a)]. 8392 K(x,y) \ (K(y,T(x,z)) \ u) = K(x,K(y,z)) \ u. [para(7711(a,1),8387(a,2,1))]. 8393 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1182(a,1),7137(a,1,2)),flip(a)]. 8394 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(198,a,7491,a(flip),b,7409,a(flip))]. 8395 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(5287(a,1),7409(a,2,2))]. 8396 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3136(a,1),8394(a,1,2)),flip(a)]. 8397 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5222(a,1),8394(a,1,2)),flip(a)]. 8398 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5223(a,1),8394(a,1,2)),flip(a)]. 8399 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(8398(a,1),6244(a,1,1)),flip(a)]. 8400 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7110(a,1),7477(a,1,2))]. 8401 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(198,a,5435,a(flip),b,8400,a(flip))]. 8402 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8401(a,1),145(a,1,1,2))]. 8403 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(8276(a,1),8402(a,1,1))]. 8404 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7510(a,1),620(a,1))]. 8405 K(x,T(y * z,y)) != u | K(x,T(y * z,z)) = u. [para(8089(a,1),7574(a,1))]. 8407 T(x * T(y,z),K(y,z)) != u | K(y,z) * (x * y) = u. [para(7773(a,1),8221(a,1))]. 8408 K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. [para(7425(a,2),8288(a,1))]. 8409 K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. [para(128(a,1),8408(a,1,2,2))]. 8412 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(65,a,8302,a(flip),b,5228,a),flip(a)]. 8413 (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(8302(a,1),28(a,2,2,2)),flip(a)]. 8415 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(7733(a,1),8338(a,1))]. 8416 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8328(a,2),8338(a,1))]. 8417 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8329(a,2),8338(a,1))]. 8418 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(65,a,8344,a(flip),b,5228,a),flip(a)]. 8419 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8344(a,1),5584(a,1,1)),flip(a)]. 8420 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7252,a,8388,a)]. 8421 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(198,a,7442,a(flip),b,8399,a(flip)),flip(a)]. 8424 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(7715(a,1),8416(a,1,1))]. 8425 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(390,a,7030,a)]. 8426 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(7030(a,1),7385(a,1,1))]. 8427 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7030(a,1),7398(a,1,1))]. 8428 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(198,a,6605,a(flip),b,8425,a(flip)),flip(a)]. 8429 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(6691,a,7031,a),flip(a)]. 8430 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(390,a,7031,a)]. 8431 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(198,a,6605,a(flip),b,8430,a(flip)),flip(a)]. 8432 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(198,a,6755,a(flip),b,7244,a(flip))]. 8433 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(8432(a,1),5128(a,1,1))]. 8434 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(424,a,7272,a)]. 8435 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4891(a,1),7272(a,1,1)),flip(a)]. 8436 (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(7272(a,1),5226(a,1,1,2))]. 8437 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(198,a,6946,a(flip),b,8434,a(flip)),flip(a)]. 8438 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(198,a,6939,a(flip),b,8434,a(flip)),flip(a)]. 8439 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(198,a,6755,a(flip),b,8434,a(flip)),flip(a)]. 8440 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(679(a,1),8437(a,1,2))]. 8441 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(8439(a,1),4937(a,2,1)),flip(a)]. 8442 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(8439(a,1),5406(a,1,1,1)),flip(a)]. 8443 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(424,a,7273,a)]. 8444 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(198,a,6755,a(flip),b,8443,a(flip)),flip(a)]. 8445 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(198,a,7827,a(flip),b,8444,a(flip))]. 8446 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(8444(a,1),4937(a,2,1)),flip(a)]. 8447 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(198,a,7819,a(flip),b,8445,a(flip))]. 8449 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(8447(a,1),4967(a,2,1,1))]. 8450 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(198,a,4967,a,b,8449,a)]. 8451 T(x,R(y,z,y)) = T(x,y). [para(7550(a,1),8450(a,1,2,3))]. 8452 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(327,a,8451,a),flip(a)]. 8453 T(x / y,R(y,z,y)) = y \ x. [hyper(198,a,108,a(flip),b,8451,a)]. 8454 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(8451(a,1),106(a,1,2))]. 8455 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4288(a,1),8451(a,1,2))]. 8456 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4483(a,1),8451(a,1,2))]. 8457 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(7068(a,1),8451(a,1,2))]. 8458 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(7288(a,1),8451(a,1,2))]. 8459 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(8453(a,1),106(a,1,2))]. 8460 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(198,a,7528,a(flip),b,8455,a(flip))]. 8461 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(327,a,8458,a),flip(a)]. 8462 T(x,T(y / z,y)) = T(x,z \ y). [para(60(a,1),8458(a,1,2,1)),flip(a)]. 8463 T(x,T(x,y) / z) = T(x,z \ T(x,y)). [hyper(5332,a,8462,a)]. 8464 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(42(a,1),8457(a,1,2))]. 8465 T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. [hyper(198,a,3949,a(flip),b,8464,a(flip))]. 8466 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(8452(a,1),106(a,1,2)),flip(a)]. 8467 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [para(8452(a,1),145(a,1,1,2))]. 8469 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5867,a,8456,a),flip(a)]. 8470 T(x,y / (y / z)) = T(x,T(z,y)). [hyper(198,a,8026,a(flip),b,8456,a(flip))]. 8471 T(x,T(y \ z,z)) = T(x,z / y). [para(57(a,1),8470(a,1,2,2)),flip(a)]. 8472 T(x,y) \ ((x * y) / R(x,z,x)) = R(x,z,x) \ y. [hyper(198,a,1736,a,b,8465,a(flip)),flip(a)]. 8473 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(8466(a,2),19(a,1))]. 8474 (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). [para(1109(a,1),8467(a,1,1,2))]. 8475 T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). [para(8472(a,1),14(a,1,2))]. 8476 K(x,((y * z) \ z) \ 1) = K(x,(z \ (y \ z)) \ 1). [para(124(a,1),7321(a,2,2,1,2)),flip(a)]. 8477 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7375(a,2),1460(a,2,1,2))]. 8478 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5882(a,1),7416(a,1,1,2))]. 8479 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(8478(a,1),57(a,1,2))]. 8480 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(8478(a,1),76(a,1,2)),flip(b)]. 8481 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(8478(a,1),254(a,1,2)),flip(b)]. 8482 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(92(a,1),8478(a,1,1))]. 8483 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(386(a,1),8478(a,1,1))]. 8484 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(198,a,123,a(flip),b,8479,a(flip))]. 8485 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(7421(a,2),8479(a,1,2))]. 8486 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(7427(a,2),8482(a,1,1,2))]. 8487 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(66,a,8484,a(flip),b,7815,a),flip(a)]. 8488 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(8484(a,1),19(a,1)),flip(a)]. 8489 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(8484(a,1),191(a,1,2)),flip(b)]. 8490 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7177(a,1),8484(a,1,1,2))]. 8491 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(8490(a,1),191(a,1,2)),flip(b)]. 8493 T(x,((y \ x) * y) \ z) = T(x,x \ z). [hyper(198,a,7444,a(flip),b,7459,a)]. 8494 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(5943(a,1),8493(a,1,2))]. 8495 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(8494(a,1),176(a,1,2))]. 8496 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(613,a,8495,a)]. 8497 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(198,a,6446,a(flip),b,8496,a(flip))]. 8498 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(792(a,1),7496(a,1,1,2))]. 8499 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1455(a,1),7496(a,1,1,2))]. 8500 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(198,a,40,a,b,7509,a)]. 8501 R(x,K(y,z),R(z,u,w)) = x. [hyper(424,a,7554,a)]. 8502 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(198,a,7409,a(flip),b,8501,a(flip)),flip(a)]. 8503 R(x,K(y,z),L(z,u,w)) = x. [hyper(424,a,7555,a)]. 8504 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7191(a,1),8503(a,1,2))]. 8505 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(8504(a,1),456(a,1,1))]. 8506 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(198,a,4924,a,b,7558,a)]. 8508 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(8506(a,1),7584(a,1))]. 8509 R(x,T(y,z),T(T(K(y,u),w),T(y,z))) * (K(y,z) * T(T(y,u),K(u,w))) = (x * T(y,z)) * T(T(K(y,u),w),T(y,z)). [para(7559(a,2),431(a,1,2))]. 8510 K(x,((y * z) \ z) \ 1) \ (y * u) = T(y,T(x,z)) * u. [para(8476(a,2),7623(a,1,1))]. 8511 x \ (T(x,T(T(y,z),u)) * z) = (z / T(x,u)) * T(T(x,u),y). [hyper(198,a,8184,a(flip),b,7624,a(flip))]. 8512 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(5882(a,1),7694(a,1,1)),flip(a)]. 8513 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(8424,a,8512,a),flip(a)]. 8514 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8512(a,1),8424(a,1))]. 8515 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(198,a,7711,a,b,8513,a)]. 8516 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5874(a,1),7695(a,1,1)),flip(a)]. 8517 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7679(a,1),7696(a,1,1))]. 8518 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5874(a,1),7735(a,1,2)),flip(a)]. 8519 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(198,a,8516,a,b,8518,a(flip)),flip(a)]. 8520 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7711(a,1),8519(a,1,1))]. 8521 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(5882(a,1),7736(a,1,2)),flip(a)]. 8522 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(8514,a,8521,a),flip(a)]. 8524 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(198,a,8331,a,b,8522,a)]. 8525 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(6303(a,1),8522(a,1,2)),flip(a)]. 8526 K(x,K(y,L(z,u * y,w))) = K(x,K(z,L(y,u,w))). [para(6610(a,1),8522(a,1,2)),flip(a)]. 8527 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8522(a,2),8338(a,1))]. 8528 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [para(5923(a,2),8524(a,1,2))]. 8529 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(196(a,1),8526(a,1,2,2)),flip(a)]. 8530 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [hyper(198,a,8522,a,b,8528,a)]. 8531 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [hyper(5623,a,8530,a)]. 8533 T(x,K(y,(z \ 1) \ x)) = z \ T(z * x,K(x,y)). [hyper(198,a,4924,a,b,7743,a),flip(a)]. 8534 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(16(a,1),7743(a,1,2,1))]. 8535 T(x,K(y,x \ (z \ 1))) = z \ T(z * x,K(x,y)). [hyper(8086,a,8533,a)]. 8536 x \ T(x * y,K(y,z)) = T(y,K(x,z)). [hyper(8111,a,8535,a),flip(a)]. 8537 x \ (y * T(x,T(y,z))) = T(y,K(x,z)). [para(6539(a,1),8536(a,1,2))]. 8538 x * T(y,T(x,z)) = y * T(x,K(y,z)). [para(8537(a,1),14(a,1,2)),flip(a)]. 8539 T(x * T(y,K(x,z)),y) = T(x * y,T(y,z)). [para(8538(a,1),7529(a,1,1))]. 8540 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4894(a,1),7902(a,1,1,1,2))]. 8541 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7685,a,7927,a),flip(a)]. 8542 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8541(a,1,2,2)),flip(a)]. 8544 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(7819(a,1),7965(a,1,1)),flip(a)]. 8545 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(8544(a,1),5562(a,1,1))]. 8547 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(198,a,7715,a,b,7973,a)]. 8548 (x * T(y,z)) / (x * y) = K(y,z) * K(y,K(x,z)). [para(8051(a,1),8161(a,2,2))]. 8549 (x * T(y,z)) / (x * y) = K(y,T(z,x)). [hyper(198,a,7747,a(flip),b,8548,a)]. 8551 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(198,a,7806,a(flip),b,8549,a(flip)),flip(a)]. 8552 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8549(a,1),16(a,1,1))]. 8554 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(7575,a,8551,a)]. 8555 T(K(x,y),z * x) = T(K(x,y),z). [hyper(198,a,7094,a(flip),b,8551,a)]. 8557 K(x,T(y,z)) != u | K(x,T(y,z * x)) = u. [para(8551(a,1),7575(a,1))]. 8558 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(198,a,7899,a(flip),b,8554,a(flip))]. 8559 K(x,T(y,z / x)) = K(x,T(y,z)). [para(16(a,1),8554(a,1,2,2)),flip(a)]. 8560 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(81(a,1),8554(a,1,2,2))]. 8561 T(K(x,y),z * x) != u | K(x,T(y,z)) = u. [para(8555(a,2),7575(a,1))]. 8562 K(x,T(y,z)) \ (z / x) = (z / x) * K(y,x). [para(8559(a,1),7854(a,1,1))]. 8563 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(66,a,8552,a(flip),b,5219,a(flip))]. 8564 (x * T(y,z)) / (x * y) != u | K(y,T(z,x)) = u. [para(8552(a,1),255(a,1,1)),flip(b)]. 8565 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7093(a,1),8552(a,1,1))]. 8566 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7184(a,1),8552(a,1,1))]. 8567 K(x,y) * (z * x) = z * T(x,T(y,z)). [para(7814(a,1),8552(a,1,1))]. 8568 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(107(a,1),8563(a,1,1,2))]. 8569 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1749(a,1),8563(a,1,1,2))]. 8570 K(x,y) \ (z * y) = z * T(y,T(x,z)). [hyper(5307,a,8567,a)]. 8571 K(x,y) * (z * x) != z * u | T(x,T(y,z)) = u. [para(8567(a,2),19(a,1))]. 8572 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(8567(a,1),6926(a,1,2,1))]. 8573 K(L(x,y,x),T(z,u)) != w | K(x,T(z,u * x)) = w. [para(7038(a,2),8557(a,1))]. 8574 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7094(a,2),8561(a,1))]. 8575 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(198,a,3224,a,b,8565,a)]. 8576 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8568(a,1),6301(a,1,1,1))]. 8577 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(8573,a,7814,a),flip(a)]. 8578 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(198,a,8179,a,b,8577,a)]. 8579 K(T(x * y,y) / x,z) = K(y,z). [hyper(7251,a,8578,a),flip(a)]. 8581 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),8579(a,1,1,1,1))]. 8582 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(198,a,8432,a(flip),b,8162,a)]. 8583 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(103(a,1),8582(a,1,1)),flip(a)]. 8584 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7819(a,1),8163(a,1,1)),flip(a)]. 8585 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(124(a,1),8584(a,1,1,2)),flip(a)]. 8586 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(176(a,1),8584(a,1,1,2))]. 8588 K(L(x,y,z),x * y) = K(x,x * y). [hyper(7608,a,8585,a),flip(a)]. 8589 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(198,a,6617,a(flip),b,8585,a(flip))]. 8591 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4871(a,2),8585(a,1,2)),flip(a)]. 8593 K(L(x,x \ 1,y),z) != u | K(x,z) = u. [para(8586(a,2),286(a,1)),flip(b)]. 8594 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(8593,a,7828,a)]. 8595 K(x \ (x * y),z) != u | K(y,z) = u. [para(282(a,1),8593(a,1,1))]. 8599 K(T(x,y) \ (x * z),u) != w | K(K(x,y) \ z,u) = w. [para(5214(a,1),8595(a,1,1,2))]. 8601 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7189(a,2),8595(a,1))]. 8602 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(7830(a,1),8595(a,1))]. 8603 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(14(a,1),8601(a,1,1,1))]. 8604 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7829(a,1),8601(a,1))]. 8605 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(108(a,1),8604(a,1,2,1))]. 8606 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7172(a,2),8604(a,1))]. 8607 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(7200(a,1),8604(a,1))]. 8608 K(T(x,y) \ 1,T(z,y)) != u | K(x \ 1,z) = u. [para(7102(a,2),8604(a,1))]. 8609 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(7187(a,2),8604(a,1))]. 8613 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(8133(a,1),8604(a,1))]. 8614 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(38(a,1),8606(a,1,2))]. 8615 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(40(a,2),8606(a,1,2))]. 8616 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),8606(a,1,2))]. 8617 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(108(a,1),8606(a,1,2))]. 8618 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(744(a,1),8606(a,1,1))]. 8619 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7104(a,1),8606(a,1))]. 8620 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(753(a,2),8602(a,1,1))]. 8623 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(118(a,1),8603(a,1,2))]. 8624 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(4651(a,1),8603(a,1,1))]. 8626 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(5075(a,2),8603(a,1,1))]. 8627 K(x / (y \ z),T(y,z)) != u | K((y \ z) \ x,y) = u. [para(7077(a,1),8603(a,1))]. 8629 K(x,K(y \ x,y) * z) != u | K(x,z * K(y \ x,y)) = u. [para(7363(a,1),8607(a,1,2))]. 8631 K(x,T(y \ (x * z),z)) != u | K(x,(x * z) / y) = u. [para(7240(a,1),8613(a,1))]. 8633 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(744(a,1),8619(a,1,1))]. 8635 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(8594(a,1),8606(a,1))]. 8636 K((x \ y) \ 1,T(z,x)) != u | K((y / x) \ 1,z) = u. [para(108(a,1),8608(a,1,1,1))]. 8637 L(K(x,y),K(z,x),u) = K(x,y). [hyper(8635,a,8591,a),flip(a)]. 8641 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(8637(a,1),92(a,1,2))]. 8642 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(8637(a,1),397(a,1,2,1))]. 8643 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7396,a,8641,a)]. 8644 R(x,K(y,z),K(z,u)) = x. [hyper(424,a,8641,a)]. 8645 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(198,a,8421,a(flip),b,8641,a(flip))]. 8646 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1802(a,2),8641(a,2,2))]. 8647 R(x,T(K(y,z),u),K(z,w)) = x. [para(1431(a,1),8644(a,1,2))]. 8648 (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(8644(a,1),2467(a,1,1,1))]. 8649 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5882(a,1),8644(a,1,2))]. 8650 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(8644(a,1),6311(a,1,1))]. 8651 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6918(a,1),8644(a,1,3))]. 8652 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5641(a,1),8647(a,1,3))]. 8653 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(8649(a,1),102(a,1,1)),flip(a)]. 8654 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(8649(a,1),457(a,1,1))]. 8655 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(8652(a,1),808(a,1,1)),flip(a)]. 8656 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(198,a,4136,a(flip),b,8650,a(flip))]. 8657 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(40(a,2),8650(a,1,2,2))]. 8658 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(8650(a,2),1807(a,1))]. 8660 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(198,a,5630,a,b,8656,a(flip)),flip(a)]. 8661 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),8660(a,1,2,2)),flip(a)]. 8662 x \ R(x,T(y,x),x) = a(x,y,x). [para(145(a,1),8661(a,1,2)),flip(a)]. 8663 x \ R(x,y,x) = a(x,y,x). [para(4360(a,1),8662(a,1,2))]. 8664 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5631,a,8663,a)]. 8665 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5615,a,8663,a)]. 8666 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(198,a,8263,a,b,8663,a(flip)),flip(a)]. 8667 R(x,y,x) / x = a(x,y,x). [hyper(198,a,3738,a,b,8663,a(flip)),flip(a)]. 8668 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(198,a,5630,a(flip),b,8663,a(flip)),flip(a)]. 8669 x * a(x,y,x) = R(x,y,x). [para(8663(a,1),14(a,1,2))]. 8671 a(x,y,x) * x = R(x,y,x). [para(8663(a,1),3739(a,1,1))]. 8672 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(5939(a,1),8663(a,1,2)),flip(a)]. 8673 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(8663(a,1),7202(a,1,2)),flip(a)]. 8674 T(x * y,x) / x = y * a(x,y,x). [para(8663(a,1),8276(a,1,2)),flip(a)]. 8675 a(x \ 1,x,x \ 1) = (x \ 1) * x. [hyper(198,a,351,a(flip),b,8667,a(flip))]. 8676 x \ R(x,y,x) != z | a(x,y,x) = z. [para(8669(a,1),191(a,1,2)),flip(b)]. 8678 (x * a(y,z,y)) / R(y,z,y) != u | R(x / y,y,a(y,z,y)) = u. [para(8669(a,1),537(a,1,2))]. 8680 K(x,y) \ a(x,y,x) != z | K(x * y,x) = z. [para(8664(a,1),191(a,1,2)),flip(b)]. 8681 K(x,x * y) * a(x,y,x) = K(x,y). [para(8664(a,1),5315(a,1,2))]. 8682 a(x,y,x) * (y * x) = T(x * y,x). [para(8664(a,1),6694(a,1,1))]. 8683 (x * y) * a(y,x,y) = T(y * x,y). [para(8664(a,1),6697(a,1,2))]. 8684 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7396,a,8665,a)]. 8686 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(198,a,1711,a,b,8674,a(flip)),flip(a)]. 8687 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(14(a,1),8674(a,1,1,1)),flip(a)]. 8688 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(8674(a,1),108(a,1,1))]. 8689 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(8674(a,2),156(a,1,2,2))]. 8690 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(8674(a,2),393(a,1,2,2))]. 8691 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(8674(a,2),723(a,1,2,2,2))]. 8692 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5435(a,2),8676(a,1))]. 8693 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(5614(a,2),8676(a,1))]. 8694 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),8681(a,1,1,2))]. 8695 ((x / y) * y) * a(y,x / y,y) = y * (T(x,y) / y). [hyper(198,a,4650,a(flip),b,8683,a)]. 8696 (x * y) \ T(y * x,y) != z | a(y,x,y) = z. [para(8683(a,1),191(a,1,2)),flip(b)]. 8697 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(8683(a,1),825(a,1,1,2))]. 8698 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(198,a,5818,a,b,8684,a)]. 8700 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(6452(a,1),8684(a,2,1))]. 8701 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(8554(a,1),8684(a,1,2))]. 8702 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(8666(a,1),3739(a,1,1))]. 8703 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4175(a,1),8666(a,1,2)),flip(a)]. 8704 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7325(a,1),8702(a,1,2)),flip(a)]. 8706 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(8668(a,1),7376(a,1,1))]. 8707 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(198,a,8663,a(flip),b,8672,a)]. 8708 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(198,a,8703,a(flip),b,8707,a(flip)),flip(a)]. 8710 L(K(x,y),K(z,y),u) = K(x,y). [hyper(17,a,8484,a,b,8643,a),flip(a)]. 8711 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1802(a,2),8643(a,1,1,2))]. 8712 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(8710(a,1),92(a,1,2))]. 8713 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(150,a,8646,a,b,551,a)]. 8715 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7391(a,1),8646(a,1,1)),flip(a)]. 8716 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,8643,a,b,8711,a(flip)),flip(a)]. 8718 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(71,a,8716,a)]. 8719 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(8716(a,1),255(a,1,1)),flip(b)]. 8720 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(198,a,1802,a,b,8718,a)]. 8721 K(T(x * y,T(x,z)) \ ((x * T(y,K(x,z))) * u),w) != v5 | K(K(x * T(y,K(x,z)),x) \ u,w) = v5. [para(7569(a,1),8599(a,1,1,1))]. 8722 K(T(x * y,T(y,z)) \ ((x * T(y,K(x,z))) * u),w) != v5 | K(K(x * T(y,K(x,z)),y) \ u,w) = v5. [para(8539(a,1),8599(a,1,1,1))]. 8723 L(K(x,y),z * T(x,u),w) != v5 | K(L(x,z,w),y) = v5. [para(7852(a,2),8609(a,1))]. 8724 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7853(a,2),8616(a,1))]. 8725 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(8631,a,8259,a)]. 8726 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(6955,a,8725,a),flip(a)]. 8727 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(14(a,1),8725(a,1,2,1)),flip(a)]. 8728 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(8725(a,1),6955(a,1))]. 8729 K(x,(y * (z / u)) \ (y * x)) = K(x,u / (x \ z)). [hyper(198,a,6628,a,b,8726,a),flip(a)]. 8730 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,8726,a)]. 8731 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(198,a,8259,a,b,8726,a(flip)),flip(a)]. 8732 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),8726(a,1,2,2)),flip(a)]. 8733 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8731(a,2),7113(a,2,1)),flip(a)]. 8734 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5563,a,8730,a)]. 8735 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5613(a,1),8645(a,1,2)),flip(a)]. 8736 R(x,y,x) \ x = x \ L(x,y,x). [hyper(8473,a,8735,a)]. 8737 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(65,a,8736,a(flip),b,1110,a)]. 8738 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8737(a,1),4832(a,2,2))]. 8739 x * a(y,x / y,y) = y * (T(x,y) / y). [hyper(261,a,8695,a)]. 8741 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(105(a,1),8723(a,1,2,2))]. 8742 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(106(a,1),8723(a,1,2))]. 8743 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(7047(a,2),8741(a,1))]. 8744 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(6610(a,1),8742(a,1))]. 8745 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(105(a,1),8724(a,1,2,1))]. 8746 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(7530(a,1),8168(a,1,1,1,2))]. 8747 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(8180(a,2),7575(a,1))]. 8748 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,(z / y) \ 1). [hyper(198,a,8348,a(flip),b,8195,a)]. 8749 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,y / z). [hyper(198,a,4301,a(flip),b,8748,a)]. 8750 T(T(x,K(y,z)),z \ y) = T(x,y / z). [hyper(6436,a,8749,a)]. 8751 T(T(x,y),x / z) = T(T(x,y),z \ x). [para(3105(a,1),8750(a,1,1)),flip(a)]. 8752 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5673(a,1),8750(a,1,1,2))]. 8753 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(7775(a,1),8750(a,1,1)),flip(a)]. 8754 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(7786,a,8753,a)]. 8755 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7712(a,1),8206(a,2,2))]. 8756 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4686(a,2),8213(a,1,2))]. 8757 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6325(a,2),8216(a,2,2,2)),flip(a)]. 8759 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(311(a,1),8315(a,1,1,1)),flip(a)]. 8760 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4149(a,1),8321(a,1,2,1))]. 8761 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(198,a,8353,a(flip),b,8354,a(flip))]. 8762 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(198,a,8339,a(flip),b,8761,a(flip))]. 8763 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(198,a,6489,a(flip),b,8762,a(flip))]. 8764 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(8358(a,1),406(a,1,1,1))]. 8765 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),8366(a,1,1,1,1)),flip(a)]. 8766 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(8396(a,1),3713(a,1,1)),flip(a)]. 8767 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(198,a,8482,a(flip),b,8426,a(flip)),flip(a)]. 8768 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(8742,a,8767,a)]. 8769 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(198,a,6610,a(flip),b,8767,a(flip)),flip(a)]. 8770 L(K(x,y),z,y) = K(x,y). [para(281(a,1),8767(a,1,3))]. 8771 K(L(x,y,z),z) = K(x,z). [hyper(8742,a,8770,a)]. 8772 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6808,a,8770,a)]. 8773 K(x,L(y,z,y)) = K(x,y). [hyper(198,a,6610,a(flip),b,8770,a(flip)),flip(a)]. 8776 (x * y) * K(z,x) = x * (y * K(z,x)). [para(8770(a,1),92(a,1,2))]. 8780 K(x \ (y \ z),y) != u | K((y * x) \ z,y) = u. [para(8770(a,1),6808(a,1))]. 8781 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),8771(a,1,1))]. 8783 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(8771(a,1),5698(a,1,2,1,2)),flip(a)]. 8784 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6213(a,1),8771(a,1,1))]. 8785 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(8771(a,1),7847(a,1,1,2)),flip(a)]. 8786 T(x,L(y,z,y)) = x * K(x,y). [para(8773(a,1),4924(a,2,2))]. 8787 T(x,L(y,z,y)) = T(x,y). [hyper(198,a,4924,a,b,8786,a)]. 8788 T(x,L(y,z,y)) != u | T(x,y) = u. [para(8786(a,2),4927(a,1))]. 8789 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(327,a,8787,a),flip(a)]. 8791 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(8787(a,1),106(a,1,2))]. 8792 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(8787(a,1),7654(a,1,2,1))]. 8793 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(4157(a,1),8768(a,1,1))]. 8794 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(198,a,6578,a,b,8772,a(flip)),flip(a)]. 8795 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),8772(a,1,1,1)),flip(a)]. 8796 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1509(a,1),8772(a,1,1,1)),flip(a)]. 8797 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(8772(a,1),7811(a,1,1))]. 8799 T((x * y) / T(x,z),x) = y * K(z,x). [hyper(7453,a,8776,a)]. 8800 R(x,y,K(z,x)) = x. [hyper(424,a,8776,a)]. 8805 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(8800(a,1),46(a,1,1)),flip(a)]. 8807 R(x,y,K(z,T(x,u))) = x. [para(7099(a,1),8800(a,1,3))]. 8808 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(8807(a,1),102(a,1,1)),flip(a)]. 8809 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(8807(a,1),429(a,1,1,1)),flip(a)]. 8810 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(8805(a,1),748(a,1,1,2)),flip(a)]. 8811 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(8789(a,1),106(a,1,2)),flip(a)]. 8813 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(108(a,1),8791(a,1,2))]. 8815 T(x / T(y,z),y) = (y \ x) * K(z,y). [para(14(a,1),8799(a,1,1,1))]. 8816 ((x \ y) / T(x,z)) * x = T(y / T(x,z),x). [hyper(198,a,7428,a,b,8815,a),flip(a)]. 8817 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(198,a,7847,a(flip),b,8785,a)]. 8818 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(406(a,1),8817(a,1,2,2)),flip(a)]. 8819 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(6678,a,8794,a),flip(a)]. 8820 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6677,a,8794,a)]. 8822 K(x \ (((x \ 1) * y) \ 1),x) = K(y \ 1,x). [hyper(6598,a,8819,a),flip(a)]. 8823 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(198,a,8795,a(flip),b,8819,a(flip))]. 8825 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x). [para(1039(a,1),8823(a,1,1,2,1)),flip(a)]. 8826 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(198,a,5753,a(flip),b,8820,a(flip))]. 8827 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(17,a,8178,a(flip),b,8797,a(flip)),flip(a)]. 8829 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(6688,a,8808,a),flip(a)]. 8830 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(390,a,8808,a)]. 8831 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6711,a,8830,a)]. 8832 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(8160,a,8829,a),flip(a)]. 8833 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(8829(a,1),8160(a,1))]. 8834 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(8172,a,8832,a),flip(a)]. 8837 K(((L(x,y,z) * (u * x)) / w) \ x,x) = K(w / (L(x,y,z) * T(u,x)),x). [para(1189(a,1),8834(a,1,1,2)),flip(a)]. 8838 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(7867(a,1),8833(a,1))]. 8839 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5144,a,8433,a),flip(a)]. 8840 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1681(a,2),8435(a,1,2))]. 8841 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(198,a,42,a,b,8441,a)]. 8842 K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(198,a,42,a,b,8446,a)]. 8843 (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). [hyper(198,a,8475,a,b,8474,a)]. 8844 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4893(a,1),8500(a,2,1))]. 8845 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7616(a,2),8502(a,1,2))]. 8846 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(198,a,7993,a(flip),b,8517,a)]. 8847 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8517(a,2),7751(a,1,1))]. 8848 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7993(a,1),8846(a,1,1))]. 8849 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7996(a,1),8846(a,1,1))]. 8850 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(198,a,8520,a(flip),b,8848,a(flip)),flip(a)]. 8851 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(198,a,8519,a(flip),b,8849,a(flip)),flip(a)]. 8852 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(198,a,8516,a(flip),b,8849,a(flip)),flip(a)]. 8853 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(4045(a,1),8850(a,1,2)),flip(a)]. 8854 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6977(a,1),8851(a,1,2)),flip(a)]. 8855 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8540(a,1),16(a,1,1))]. 8856 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(8547(a,1),7444(a,1,1))]. 8857 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(198,a,8563,a(flip),b,8569,a(flip))]. 8861 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(198,a,8397,a(flip),b,8715,a)]. 8863 (x / y) * a(y,z,y) = x / L(y,z,y). [para(8664(a,1),8861(a,1,2))]. 8864 (x / y) \ (x / L(y,z,y)) = a(y,z,y). [hyper(71,a,8863,a)]. 8865 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),8863(a,1,1)),flip(a)]. 8867 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1549,a,8865,a)]. 8868 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(8865(a,1),60(a,1,1))]. 8870 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(198,a,8811,a(flip),b,8867,a(flip)),flip(a)]. 8871 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),8867(a,1,1)),flip(a)]. 8872 a(x,y,x) \ x = L(x,y,x). [hyper(3673,a,8868,a)]. 8873 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(826(a,1),8868(a,1,2))]. 8874 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(8674(a,2),8868(a,1,1))]. 8875 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(198,a,8278,a,b,8870,a(flip)),flip(a)]. 8876 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(198,a,1180,a,b,8870,a(flip)),flip(a)]. 8877 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(8876(a,1),14(a,1,2))]. 8878 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),8877(a,1,2)),flip(a)]. 8879 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,1178,a,b,8878,a),flip(a)]. 8880 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(65,a,8879,a(flip),b,8813,a(flip))]. 8881 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7811(a,1),8874(a,1,2))]. 8882 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(8875(a,2),19(a,1))]. 8883 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(8875(a,1),4902(a,1,2))]. 8884 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(198,a,6716,a(flip),b,8784,a(flip)),flip(a)]. 8885 K(K(x \ y,x) * z,y) = K(z,y). [hyper(8595,a,8884,a),flip(a)]. 8888 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(8885(a,1),4924(a,2,2)),flip(a)]. 8889 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(65,a,8841,a(flip),b,4223,a),flip(a)]. 8890 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(8841(a,1),7059(a,1,1,2)),flip(a)]. 8891 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8855(a,1),5288(a,1,2))]. 8893 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6337,a,8888,a),flip(a)]. 8894 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5147(a,1),8893(a,2,1))]. 8895 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5713(a,1),8891(a,1,2,1,2,2)),flip(a)]. 8896 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7094(a,2),7098(a,1,1))]. 8897 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(198,a,7103,a(flip),b,7127,a)]. 8899 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(6072(a,1),7291(a,1,2,1))]. 8900 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(198,a,8482,a(flip),b,7397,a)]. 8902 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(198,a,461,a(flip),b,7570,a(flip))]. 8903 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(8902(a,2),6192(a,1,2))]. 8904 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(198,a,7172,a(flip),b,7622,a)]. 8905 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(434,a,7653,a),flip(a)]. 8906 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7738(a,1),8905(a,1,3)),flip(a)]. 8907 R(x,y,T(z,K(y,u))) = R(x,y,z). [hyper(198,a,7320,a(flip),b,7727,a(flip))]. 8908 R(x,T(y,z),T(u,K(y,w))) = R(x,T(y,z),u). [para(7819(a,1),8907(a,1,3,2))]. 8909 R(x,T(y,z),T(u,T(y,w))) = R(x,T(y,z),T(u,y)). [para(7516(a,1),8908(a,1,3))]. 8910 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7113(a,1),7884(a,1,1,2)),flip(a)]. 8911 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. [para(8164(a,1),8614(a,1))]. 8912 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7678(a,1),8254(a,1,1))]. 8913 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(7711(a,1),8254(a,1,1))]. 8914 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5671(a,1),8267(a,1,2))]. 8915 x * (y * K(z,K(x * y,u))) = T(x * y,K(z,L(u,y,x))). [hyper(7719,a,8332,a),flip(a)]. 8916 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(198,a,8650,a,b,8412,a(flip)),flip(a)]. 8917 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(8412(a,1),5314(a,1,2))]. 8918 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(198,a,8650,a,b,8418,a(flip)),flip(a)]. 8919 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(162(a,1),8418(a,1,1,1))]. 8920 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(198,a,275,a(flip),b,8485,a(flip)),flip(a)]. 8921 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8486(a,1),5271(a,1,1,2))]. 8922 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(8604,a,8583,a)]. 8923 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(394(a,1),8589(a,2,2))]. 8924 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6331,a,8896,a)]. 8925 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(198,a,7544,a(flip),b,8897,a(flip))]. 8927 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(198,a,8831,a,b,8925,a(flip)),flip(a)]. 8928 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(198,a,6101,a,b,8925,a(flip)),flip(a)]. 8929 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(198,a,8439,a(flip),b,8904,a(flip)),flip(a)]. 8931 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),8929(a,1,2,2)),flip(a)]. 8933 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(18,a,7813,a,b,8914,a(flip)),flip(a)]. 8935 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). [para(7733(a,1),8915(a,1,2,2))]. 8936 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(198,a,7150,a(flip),b,8922,a),flip(a)]. 8937 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(60(a,1),8936(a,1,1,1)),flip(a)]. 8938 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),8937(a,1,1,2)),flip(a)]. 8940 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(8745,a,8938,a),flip(a)]. 8941 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(8938(a,1),8745(a,1))]. 8942 K(x,R(y,x,z)) * R(x,y,z) = T(R(x,y,z),y). [para(8940(a,1),4937(a,2,1)),flip(a)]. 8943 K(x,R(y,x,z)) * R(x,y,z) = R(T(x,y),y,z). [hyper(198,a,42,a,b,8942,a)]. 8944 T(x,R(y,x,z)) \ R(T(x,y),y,z) = x \ R(x,y,z). [hyper(65,a,8943,a(flip),b,4897,a)]. 8945 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7128(a,2),8243(a,1))]. 8946 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(198,a,7172,a(flip),b,7183,a)]. 8948 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7216(a,2),6518(a,1))]. 8949 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(198,a,362,a(flip),b,7372,a)]. 8950 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(60(a,1),7497(a,1,1,1,2,1))]. 8951 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(5231(a,1),7498(a,1,1,1)),flip(a)]. 8952 K(x \ (y * z),z) * K(z,z \ T(z * ((y \ x) \ 1),z)) = (y \ x) * (T(z * ((y \ x) \ 1),z) / z). [para(7562(a,1),7564(a,1,1)),flip(a)]. 8953 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(5123(a,1),7658(a,1,2,2))]. 8954 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(198,a,6455,a(flip),b,7663,a)]. 8955 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(198,a,7227,a,b,8954,a)]. 8956 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(13(a,1),8955(a,2,2))]. 8957 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(7830(a,1),7891(a,1,1)),flip(a)]. 8958 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(8957(a,1),485(a,1))]. 8959 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(7257,a,7901,a)]. 8960 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6266(a,2),8959(a,1,2,1))]. 8961 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(5152(a,1),7904(a,1,2,2))]. 8962 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(8961(a,1),60(a,1,1))]. 8963 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(4894(a,2),8962(a,1,1,1))]. 8964 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(198,a,1802,a,b,8963,a)]. 8965 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1510(a,1),8964(a,1,1)),flip(a)]. 8966 T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). [hyper(18,a,4242,a(flip),b,7955,a)]. 8967 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(7955(a,1),8567(a,1,2)),flip(a)]. 8968 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(198,a,7873,a(flip),b,7976,a(flip))]. 8969 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8724,a,7980,a),flip(a)]. 8970 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7113(a,1),8969(a,1,2,2))]. 8971 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8970(a,1),7385(a,1,1,2)),flip(a)]. 8972 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(198,a,7385,a(flip),b,8971,a)]. 8973 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(198,a,6757,a(flip),b,8972,a(flip)),flip(a)]. 8974 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5291(a,1),8972(a,1,1,2)),flip(a)]. 8976 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(198,a,6753,a(flip),b,8973,a)]. 8977 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4964(a,1),8976(a,1,2))]. 8978 R(K(x,y),z \ K(z,x),u) = R(K(x,y),z \ 1,u). [para(5286(a,1),8976(a,1,2)),flip(a)]. 8979 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8977(a,1),6930(a,1,1))]. 8980 (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(8978(a,2),1594(a,2,2,1)),flip(a)]. 8981 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(8979(a,1),20(a,1)),flip(a)]. 8982 K((x \ y) \ ((x \ y) * z),x) = K(z,(x \ T(y,x)) \ y). [hyper(8627,a,8143,a)]. 8983 K(x,(y \ T(z,y)) \ z) = K(x,y). [hyper(8595,a,8982,a),flip(a)]. 8985 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(198,a,5764,a(flip),b,8156,a)]. 8986 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(65,a,8985,a(flip),b,4896,a)]. 8987 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(198,a,7434,a(flip),b,8265,a(flip))]. 8988 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(8365,a,8273,a)]. 8989 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8988(a,1),7385(a,1,1,2)),flip(a)]. 8990 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(198,a,7385,a(flip),b,8989,a)]. 8991 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),8990(a,1,1,1)),flip(a)]. 8992 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(8780,a,8991,a)]. 8993 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(198,a,8316,a(flip),b,8318,a)]. 8994 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(14(a,1),8993(a,1,2,1,1)),flip(a)]. 8995 T(x,((y \ z) * u) \ u) = T(x,T(z \ y,u)). [hyper(7329,a,8994,a)]. 8996 T(x,T(y \ z,u) \ 1) = T(x,T(z \ y,u)). [hyper(7169,a,8994,a)]. 8997 T(x,y \ T(z,z \ y)) = T(x,T(y \ z,z)). [para(5943(a,1),8995(a,1,2))]. 8998 T(x,y \ T(z,z \ y)) = T(x,z / y). [hyper(198,a,8471,a(flip),b,8997,a)]. 8999 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8242,a,8326,a),flip(a)]. 9000 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(198,a,8460,a(flip),b,8999,a(flip))]. 9001 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(198,a,7989,a(flip),b,8327,a)]. 9002 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(60(a,1),9001(a,1,2,2,1,2))]. 9003 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(198,a,5671,a(flip),b,9002,a(flip)),flip(a)]. 9004 T(x,x \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). [hyper(198,a,230,a,b,8356,a),flip(a)]. 9005 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(198,a,6790,a(flip),b,8363,a(flip))]. 9006 T(x,y) \ (x * (x * T(z,T(x,y)))) = ((z / T(x,y)) * x) * x. [para(1276(a,1),8385(a,2,1))]. 9011 (x / T(y,z)) * T(T(y,z),u) = (x / y) * T(y,T(u,z)). [hyper(198,a,8211,a(flip),b,8511,a(flip))]. 9012 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(8674(a,1),8686(a,1,1)),flip(a)]. 9013 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(198,a,1900,a(flip),b,8738,a)]. 9014 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5234(a,1),9013(a,1,2))]. 9015 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7049(a,1),9014(a,1,2)),flip(a)]. 9016 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(198,a,7072,a,b,9015,a(flip)),flip(a)]. 9017 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9016(a,1),8461(a,1,1,2,1))]. 9018 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8839(a,1),8760(a,2,2))]. 9019 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(198,a,8321,a,b,9018,a),flip(a)]. 9020 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(198,a,8340,a(flip),b,9019,a(flip))]. 9021 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(198,a,8375,a,b,9020,a(flip)),flip(a)]. 9022 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(107(a,1),9021(a,1,2,1))]. 9023 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(198,a,8420,a(flip),b,8765,a(flip))]. 9024 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(8766(a,1),9022(a,1,2,1,1))]. 9025 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(198,a,5698,a(flip),b,8783,a)]. 9026 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(405(a,1),9025(a,1,1)),flip(a)]. 9027 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(198,a,5460,a(flip),b,9026,a(flip))]. 9028 T(x,x * (R(x,y,x) \ z)) = T(x,z). [hyper(3980,a,8843,a)]. 9029 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(7992(a,1),8847(a,1,1,1)),flip(a)]. 9030 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8520(a,1),9029(a,2,1))]. 9031 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(198,a,4937,a,b,9030,a)]. 9032 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8063,a,9031,a),flip(a)]. 9033 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5147(a,1),8894(a,1,1,1))]. 9034 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6701,a,9033,a),flip(a)]. 9035 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9034(a,2),399(a,2,2))]. 9036 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(215,a,8903,a)]. 9037 L(K(x,y),z,x \ 1) = K(x,y). [hyper(390,a,9036,a)]. 9038 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9036(a,1),7385(a,1,1))]. 9040 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(198,a,3670,a(flip),b,9037,a(flip)),flip(a)]. 9042 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9040(a,1),92(a,1,2))]. 9043 L(K(x,y),z,y \ 1) = K(x,y). [hyper(8489,a,9038,a)]. 9044 K(L(x,y,z \ 1),z) = K(x,z). [hyper(8742,a,9043,a)]. 9047 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(198,a,6594,a(flip),b,9043,a(flip)),flip(a)]. 9048 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(8620,a,9044,a)]. 9049 R(x,y,K(x \ 1,z)) = x. [hyper(424,a,9042,a)]. 9052 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9049(a,1),42(a,2,1))]. 9054 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(198,a,5995,a(flip),b,9052,a(flip))]. 9056 T(x,K(x \ 1,y) * z) = T(x,z). [para(7113(a,1),9054(a,1,2))]. 9058 T(x,K(y,x \ 1) * z) = T(x,z). [para(7387(a,1),9054(a,1,2)),flip(a)]. 9059 T(x,K(x \ 1,y) * z) = x * K(x,z). [hyper(198,a,4924,a(flip),b,9056,a)]. 9060 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3096(a,1),9056(a,1,2,1))]. 9061 T(x,K(y,1 / x) * z) = T(x,z). [para(3506(a,2),9058(a,1,2,1))]. 9062 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9061(a,1),4869(a,2,2))]. 9063 K(x,K(x \ 1,y) * z) = K(x,z). [hyper(5000,a,9059,a)]. 9064 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(5245(a,1),9063(a,1,2))]. 9065 K(x,y * K(z,x \ 1)) = K(x,y). [para(7855(a,1),9063(a,1,2)),flip(a)]. 9066 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6455(a,1),9065(a,1,2,2))]. 9069 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9060(a,1),795(a,1,2,2)),flip(a)]. 9071 K(K(x,1 / y) * z,y) = K(z,y). [hyper(198,a,4869,a,b,9062,a)]. 9072 K(K(x,y \ 1) * z,y) = K(z,y). [para(3506(a,1),9071(a,1,1,1))]. 9075 K(K(x \ 1,y) \ z,x) = K(z,x). [para(5281(a,2),9072(a,1,1))]. 9077 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5351(a,1),9072(a,1,1,1))]. 9078 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5733(a,1),9072(a,1,1))]. 9079 K(x * K(y,z \ 1),z) = K(x,z). [para(7224(a,1),9072(a,1,1))]. 9081 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(9075(a,1),4924(a,2,2)),flip(a)]. 9082 K(x / T(y,z \ 1),z) = K(x / y,z). [para(6253(a,1),9079(a,1,1)),flip(a)]. 9083 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(6455(a,1),9079(a,1,1,2))]. 9085 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(9064(a,1),6616(a,1,1))]. 9086 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(8838,a,9082,a)]. 9087 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(7381(a,1),9066(a,1,2))]. 9088 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5763(a,1),9077(a,1,1)),flip(a)]. 9089 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(7381(a,1),9083(a,1,1))]. 9091 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(9086(a,2),8838(a,1))]. 9092 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(9087(a,2),6384(a,2,2))]. 9093 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(9089(a,2),6476(a,2,2))]. 9094 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [para(5281(a,1),9081(a,1,1))]. 9095 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [hyper(6337,a,9094,a),flip(a)]. 9096 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [para(5281(a,1),9095(a,1,1))]. 9099 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(9096(a,1),7359(a,1,1))]. 9101 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(8951(a,2),14(a,1,2))]. 9102 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(198,a,8987,a(flip),b,8986,a)]. 9103 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(198,a,8542,a(flip),b,9000,a(flip)),flip(a)]. 9104 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7575,a,9103,a)]. 9105 T(x,((x \ y) \ y) \ z) = T(x,x \ z). [hyper(18,a,851,a,b,9004,a),flip(a)]. 9106 T(x / y,(x / y) \ z) = T(x / y,(y \ x) \ z). [para(60(a,1),9105(a,1,2,1,1)),flip(a)]. 9107 T(x,T(x,y) \ z) = T(x,x \ z). [para(4116(a,2),9105(a,1,2,1))]. 9112 T(x,x \ (T(x,y) * z)) = T(x,z). [para(13(a,1),9107(a,1,2)),flip(a)]. 9113 T(x,K(x,y) * z) = T(x,z). [para(5215(a,1),9112(a,1,2))]. 9114 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(198,a,3023,a(flip),b,9113,a)]. 9116 T(x,T(y,x) * z) = T(x,y * z). [para(4902(a,1),9113(a,1,2)),flip(a)]. 9117 T(x,K(y,x) * z) = T(x,z). [para(5291(a,1),9113(a,1,2)),flip(a)]. 9118 T(x,T(y,x) \ z) = T(x,y \ z). [para(5245(a,1),9113(a,1,2))]. 9119 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(9113(a,1),5475(a,1,1))]. 9121 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5763(a,1),9113(a,1,2)),flip(a)]. 9122 T(x,y \ T(z,x)) = T(x,y \ z). [para(5544(a,1),9113(a,1,2)),flip(a)]. 9124 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(9113(a,1),7172(a,1,1)),flip(a)]. 9125 T(x,y * K(x,z)) = T(x,y). [para(7813(a,1),9113(a,1,2))]. 9126 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(9113(a,1),7820(a,1,2))]. 9127 T(x,y * K(z,x)) = T(x,y). [para(7855(a,1),9113(a,1,2)),flip(a)]. 9129 T(x,y * T(x,z)) = T(x,y * x). [para(8552(a,1),9113(a,1,2))]. 9130 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(9117(a,1),4482(a,1,3))]. 9131 T(x,y * T(z,x)) = T(x,y * z). [para(5734(a,1),9117(a,1,2))]. 9134 K(x,y * K(x,z)) = x \ T(x,y). [hyper(65,a,9125,a(flip),b,4924,a(flip)),flip(a)]. 9135 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(9125(a,1),161(a,1,2,1))]. 9137 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(9125(a,1),4092(a,1,2,1))]. 9138 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5856(a,1),9125(a,1,2,2))]. 9140 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(7389(a,1),9125(a,1,2)),flip(a)]. 9141 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(9125(a,1),7830(a,1,2))]. 9142 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7725(a,1),9125(a,1,2))]. 9143 T(x,y * (z * x)) = T(x,y * (x * z)). [para(7407(a,1),9125(a,1,2)),flip(a)]. 9144 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(9125(a,1),7824(a,1,1,1,2))]. 9145 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(9125(a,1),8563(a,1,1,2)),flip(a)]. 9146 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(9127(a,1),4925(a,1,2,1)),flip(a)]. 9147 K(T(x,y),(y * K(z,x)) \ u) != w | K(x,u / (y * K(z,x))) = w. [para(9127(a,1),8617(a,1,1))]. 9149 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(9116(a,1),833(a,1,1)),flip(a)]. 9151 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(198,a,7294,a(flip),b,9118,a(flip)),flip(a)]. 9152 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(108(a,1),9122(a,1,2,2)),flip(a)]. 9153 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(198,a,4249,a(flip),b,9129,a)]. 9154 (x * T(y,z)) * T(y,x * y) = y * (x * T(y,z)). [para(9129(a,1),106(a,1,2))]. 9155 K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). [para(9129(a,1),7820(a,1,2))]. 9156 T(x,y * (z / R(x,u,x))) = T(x,y * (R(x,u,x) \ z)). [para(8452(a,1),9131(a,1,2,2)),flip(a)]. 9157 K(x,y * K(x,z)) = K(x,y). [hyper(198,a,4872,a,b,9134,a)]. 9158 T(x,K(y,x * K(y,z))) = x. [para(9134(a,2),2990(a,1,2))]. 9159 K(x,y * K(x,z)) != u | K(x,y) = u. [para(9134(a,2),5002(a,1))]. 9161 K(x,y * L(K(x,z),u,w)) = K(x,y). [para(5856(a,1),9157(a,1,2,2))]. 9164 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(9157(a,1),6267(a,1,1)),flip(a)]. 9165 K(x,K(x,y) * z) = K(x,z). [para(7113(a,1),9157(a,1,2))]. 9166 K(x,K(y,x) \ z) = K(x,z). [para(7152(a,1),9157(a,1,2))]. 9167 K(x,y * K(z,x)) = K(x,y). [para(7377(a,1),9157(a,1,2)),flip(a)]. 9168 K(x,y / K(z,x)) = K(x,y). [para(7384(a,2),9157(a,1,2))]. 9169 K(x,K(y,x) * z) = K(x,z). [para(7387(a,1),9157(a,1,2)),flip(a)]. 9170 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(7389(a,1),9157(a,1,2)),flip(a)]. 9172 K(x,K(y,x * K(y,z))) = 1. [hyper(36,a,9158,a)]. 9173 K(x,K(x,y) \ z) = K(x,z). [para(14(a,1),9165(a,1,2)),flip(a)]. 9174 K(x,T(x,y) * z) = K(x,x * z). [para(4944(a,1),9165(a,1,2))]. 9175 K(x,T(x,y) \ z) = K(x,x \ z). [para(5217(a,1),9165(a,1,2)),flip(a)]. 9176 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(9166(a,1),7690(a,1,2,2)),flip(a)]. 9177 K(x * K(y,z),z) = 1 / K(z,x). [para(9167(a,1),5129(a,1,2)),flip(a)]. 9178 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(9167(a,1),5576(a,1,1))]. 9179 K(x,y \ T(y * z,x)) = K(x,z). [para(6365(a,2),9167(a,1,2))]. 9180 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(9167(a,1),6946(a,1,1))]. 9182 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5872(a,1),9169(a,1,2,1))]. 9183 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(9173(a,1),7679(a,1,1)),flip(a)]. 9184 T(x,x * (y / T(x,z))) = T(x,y). [para(61(a,1),9153(a,1,2)),flip(a)]. 9185 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7373(a,2),9174(a,1,2))]. 9186 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(108(a,1),9175(a,1,2,1)),flip(a)]. 9187 K(x * K(y,z),z) = K(x,z). [hyper(198,a,5129,a(flip),b,9177,a)]. 9188 K(x * K(y,z),z) != u | K(x,z) = u. [para(9177(a,2),5131(a,1))]. 9189 K(x * T(y,z),z) = K(x * y,z). [para(1210(a,1),9187(a,1,1))]. 9191 K(x * L(K(y,z),u,w),z) = K(x,z). [para(5882(a,1),9187(a,1,1,2))]. 9192 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7174(a,1),9187(a,1,1,2))]. 9193 K(K(x,y) * z,y) = K(z,y). [para(7177(a,1),9187(a,1,1))]. 9194 K(K(x,y) \ z,x) = K(z,x). [para(7218(a,1),9187(a,1,1))]. 9195 K(x * K(y,z),y) = K(x,y). [para(7377(a,1),9187(a,1,1)),flip(a)]. 9196 K(K(x,y) * z,x) = K(z,x). [para(7388(a,1),9187(a,1,1)),flip(a)]. 9197 K(x * T(y,z),y) = K(x * y,y). [para(7390(a,1),9187(a,1,1)),flip(a)]. 9200 K(T(x,y) * z,x) = K(x * z,x). [para(4902(a,1),9193(a,1,1)),flip(a)]. 9201 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7191(a,1),9193(a,1,1,1))]. 9203 K(K(x,y) * z,x) != u | K(z,x) = u. [para(9194(a,1),8595(a,1))]. 9205 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(9195(a,1),5700(a,1,1,1,2)),flip(a)]. 9209 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(9196(a,1),6303(a,1,1))]. 9210 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6918(a,1),9196(a,1,1,1))]. 9212 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(9196(a,1),7679(a,1,1)),flip(a)]. 9215 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(6363(a,1),9189(a,1,1,2)),flip(a)]. 9216 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6452(a,1),9189(a,1,1)),flip(a)]. 9217 K(x * T(y,z),y) = K(y * x,y). [hyper(198,a,5818,a(flip),b,9197,a)]. 9218 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(198,a,9200,a,b,9217,a),flip(a)]. 9220 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6605(a,1),9138(a,1,2,2))]. 9222 K(x,T(y,x) \ z) != u | K(x,y \ z) = u. [para(7619(a,1),9159(a,1,2))]. 9224 K(x,y * (z * K(x,u))) = K(x,y * z). [para(92(a,1),9161(a,1,2))]. 9225 K(x,y * (z * K(u,x))) = K(x,y * z). [para(8484(a,1),9161(a,1,2)),flip(a)]. 9226 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6946(a,1),9182(a,1,2,1))]. 9227 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1209(a,1),9188(a,1,1))]. 9229 K(x * (y * K(z,u)),u) = K(x * y,u). [para(92(a,1),9191(a,1,1))]. 9230 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(6610(a,1),9191(a,1,1,2))]. 9231 K(x * y,x) != z | K(y * x,x) = z. [para(4891(a,1),9203(a,1,1))]. 9232 K((K(x,y) * z) * u,x) = K(z * u,x). [para(102(a,1),9210(a,1,1))]. 9233 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6755(a,1),9210(a,1,1,1))]. 9234 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(84(a,1),9220(a,1,2))]. 9235 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(401(a,1),9220(a,1,2))]. 9236 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(9220(a,1),4880(a,1,1,1)),flip(a)]. 9237 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4891(a,1),9226(a,1,2)),flip(a)]. 9238 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(5291(a,1),9226(a,1,2)),flip(a)]. 9239 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5245(a,1),9226(a,1,2))]. 9240 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5510(a,1),9226(a,1,2))]. 9241 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7224(a,1),9226(a,1,2))]. 9243 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(222(a,1),9230(a,1,1))]. 9244 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(7390(a,1),9230(a,1,1)),flip(a)]. 9245 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(5446(a,2),9231(a,1))]. 9246 a(x,y,x) * K(y,x) != z | K(y * x,x) = z. [para(8684(a,2),9231(a,1))]. 9247 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4902(a,1),9233(a,1,1)),flip(a)]. 9248 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7827(a,1),9233(a,1,1,1))]. 9249 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5275(a,1),9238(a,1,2))]. 9250 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(7693(a,1),9238(a,1,2))]. 9251 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(6432(a,1),9241(a,1,2))]. 9252 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(198,a,7071,a(flip),b,9121,a)]. 9253 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(198,a,7172,a(flip),b,9124,a)]. 9254 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(198,a,7084,a,b,9140,a(flip)),flip(a)]. 9255 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(9142(a,1),7215(a,1,1)),flip(a)]. 9258 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(94(a,2),9151(a,1,2))]. 9259 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(198,a,8727,a(flip),b,9170,a)]. 9260 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(198,a,7057,a,b,9170,a(flip)),flip(a)]. 9261 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(198,a,7679,a(flip),b,9183,a)]. 9262 K(x,K(K(x,y) \ z,u)) != w | K(x,K(z,u)) = w. [para(9183(a,2),7913(a,1))]. 9263 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4902(a,1),9201(a,1,1)),flip(a)]. 9264 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(198,a,7714,a(flip),b,9212,a)]. 9265 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(198,a,7712,a(flip),b,9212,a)]. 9266 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(198,a,7679,a(flip),b,9212,a)]. 9267 K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). [para(9218(a,1),8946(a,1,1,1,1,2)),flip(a)]. 9268 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(5856(a,1),9224(a,1,2,2,2))]. 9269 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7113(a,1),9224(a,1,2,2))]. 9270 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(223(a,1),9225(a,1,2,2))]. 9271 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(5882(a,1),9225(a,1,2,2,2))]. 9272 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(1209(a,1),9229(a,1,1,2))]. 9273 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6253(a,1),9229(a,1,1,2)),flip(a)]. 9274 K(x * (K(y,z) * u),z) = K(x * u,z). [para(7177(a,1),9229(a,1,1,2))]. 9275 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7388(a,1),9229(a,1,1,2)),flip(a)]. 9276 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5245(a,1),9253(a,1,2,2))]. 9277 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7684(a,1),9253(a,1,2,2))]. 9278 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7813(a,1),9253(a,1,2,2))]. 9279 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(198,a,8734,a(flip),b,9254,a)]. 9280 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(15(a,1),9259(a,1,2,2))]. 9282 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(9260(a,2),8728(a,1))]. 9283 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(7713,a,9261,a)]. 9284 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(7752,a,9265,a)]. 9285 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(5291(a,1),9265(a,1,1)),flip(a)]. 9286 K(x,K(y,z)) * ((K(x,u) * z) \ w) = T(K(x,u) * z,K(x,y)) \ w. [para(9265(a,1),7756(a,1,1))]. 9287 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5291(a,1),9266(a,1,1)),flip(a)]. 9288 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(9266(a,1),6295(a,1,3))]. 9289 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(7813(a,1),9266(a,1,1))]. 9290 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6893,a,9288,a)]. 9291 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(5496(a,1),9274(a,1,1,2))]. 9292 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(9275(a,1),5696(a,1,2,1,2)),flip(a)]. 9293 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(9275(a,1),5698(a,1,2,1,2)),flip(a)]. 9294 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(8236,a,9277,a)]. 9295 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7407(a,1),9278(a,1,2,2)),flip(a)]. 9296 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7094(a,1),9283(a,1,2))]. 9297 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(7855(a,1),9284(a,1,2,2)),flip(a)]. 9298 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(7099(a,1),9285(a,1,2,2,1))]. 9300 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(198,a,9264,a(flip),b,9287,a)]. 9301 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(9297(a,1),7730(a,1,1))]. 9302 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),9227(a,1,1,2))]. 9303 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(108(a,1),9250(a,1,2,2)),flip(a)]. 9305 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1210(a,1),9192(a,1,1))]. 9306 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(5942(a,1),9272(a,1,1,2))]. 9307 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4040(a,1),9273(a,1,1,2)),flip(a)]. 9308 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(198,a,8906,a,b,9290,a(flip)),flip(a)]. 9309 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(9290(a,2),5303(a,1,1))]. 9311 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(9298(a,1),7730(a,1,1))]. 9312 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(8745,a,9178,a)]. 9313 K(x,y * K(z,x)) != u | K(x,y) = u. [para(9178(a,1),301(a,1)),flip(b)]. 9314 K(x,y * x) != z | K(x,x * y) = z. [para(84(a,1),9313(a,1,2))]. 9315 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1209(a,1),9313(a,1,2))]. 9318 K(x,K(x,y) \ z) != u | K(x,z) = u. [para(7218(a,1),9313(a,1,2))]. 9320 K(x,(y \ 1) \ x) != z | K(x,x * y) = z. [para(5689(a,2),9314(a,1))]. 9321 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7539(a,2),9314(a,1))]. 9323 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(198,a,9167,a(flip),b,9312,a)]. 9325 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),9323(a,1,2))]. 9326 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(9323(a,1),6947(a,1,1))]. 9327 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(8741,a,9209,a)]. 9328 K(L(x,K(y,z),u),y) = K(x,y). [hyper(198,a,9196,a(flip),b,9327,a)]. 9330 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(196(a,1),9328(a,1,1))]. 9332 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(198,a,8182,a,b,9248,a(flip)),flip(a)]. 9333 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(198,a,5417,a(flip),b,9255,a)]. 9335 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(198,a,7527,a(flip),b,9333,a(flip)),flip(a)]. 9337 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(108(a,1),9335(a,1,2)),flip(a)]. 9338 K(x,K(T(y,K(x,z)),u)) != w | K(x,K(y,u)) = w. [para(7699(a,1),9262(a,1,2,1))]. 9339 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(8484(a,1),9268(a,1,2,2)),flip(a)]. 9340 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(8490(a,1),9268(a,1,2,2)),flip(a)]. 9341 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(8558(a,2),9282(a,1))]. 9342 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(9302,a,8826,a),flip(a)]. 9343 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(9302,a,xx),flip(a)]. 9345 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(9342(a,1),5046(a,2,2,2))]. 9346 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(198,a,8563,a(flip),b,9145,a)]. 9347 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(7389(a,1),9346(a,1,2,1)),flip(a)]. 9348 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(198,a,7690,a(flip),b,9176,a)]. 9350 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(198,a,8325,a,b,9348,a(flip)),flip(a)]. 9352 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7384(a,1),9350(a,1,2))]. 9353 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(9352(a,1),9308(a,1,2))]. 9356 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(9215(a,1),7501(a,1,2,2))]. 9357 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),9239(a,1,2,1))]. 9358 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(40(a,2),9244(a,1,1,2))]. 9359 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6444(a,1),9305(a,1,1)),flip(a)]. 9360 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(198,a,9194,a(flip),b,9330,a)]. 9362 K((x * y) \ z,y) = K((y * x) \ z,y). [para(84(a,1),9360(a,1,1,1)),flip(a)]. 9363 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(7377(a,1),9360(a,1,1,1)),flip(a)]. 9364 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7387(a,1),9360(a,1,1,1)),flip(a)]. 9365 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7819(a,1),9360(a,1,1,1,2))]. 9366 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7407(a,1),9360(a,1,1,1)),flip(a)]. 9367 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(198,a,8772,a(flip),b,9362,a)]. 9368 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(9363(a,1),7385(a,1,1,2)),flip(a)]. 9369 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(198,a,7310,a(flip),b,9364,a(flip)),flip(a)]. 9371 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(198,a,9343,a(flip),b,9367,a)]. 9372 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9367(a,1),5694(a,1,1,1,2))]. 9373 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(9367(a,1),6402(a,1,2))]. 9375 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(9367(a,2),9302(a,1))]. 9377 K(x \ (y * z),z) = K(x \ (z * y),z). [para(4891(a,1),9369(a,1,1,2)),flip(a)]. 9379 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5291(a,1),9369(a,1,1,2)),flip(a)]. 9380 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5050(a,1),9369(a,1,1,2)),flip(a)]. 9381 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5053(a,1),9369(a,1,1,2)),flip(a)]. 9383 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7819(a,1),9369(a,1,1,2,1))]. 9384 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7813(a,1),9369(a,1,1,2))]. 9388 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5496(a,1),9379(a,1,1,2))]. 9389 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5734(a,1),9379(a,1,1,2))]. 9390 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7819(a,1),9384(a,1,1,2,2))]. 9391 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7407(a,1),9384(a,1,1,2)),flip(a)]. 9393 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(153(a,1),9389(a,1,1)),flip(a)]. 9397 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(9381(a,1),9375(a,1))]. 9398 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(6589(a,2),9397(a,1))]. 9399 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(9362(a,1),9397(a,1))]. 9400 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(198,a,7085,a,b,9347,a(flip)),flip(a)]. 9401 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(198,a,7237,a,b,9357,a(flip)),flip(a)]. 9402 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(9358(a,1),6796(a,1,1,1,2))]. 9403 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(198,a,5921,a(flip),b,9366,a)]. 9404 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(198,a,7385,a(flip),b,9368,a)]. 9405 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(84(a,1),9404(a,1,2,1))]. 9407 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6510(a,1),9404(a,1,2,1)),flip(a)]. 9408 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7177(a,1),9404(a,1,2,1))]. 9409 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7191(a,1),9404(a,1,2,1,2))]. 9410 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(7377(a,1),9404(a,1,2,1)),flip(a)]. 9411 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7388(a,1),9404(a,1,2,1)),flip(a)]. 9412 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(198,a,7036,a(flip),b,9405,a)]. 9413 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(198,a,7308,a(flip),b,9408,a(flip)),flip(a)]. 9414 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(9410(a,1),4924(a,2,2))]. 9416 K(x,y \ T(x,z)) = K(x,y \ x). [hyper(198,a,6619,a(flip),b,9411,a(flip))]. 9417 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),9411(a,1,2)),flip(a)]. 9418 K(x,T(T(x,y),z) \ u) = K(x,T(x,z) \ u). [para(7206(a,1),9411(a,1,2,1))]. 9419 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(7580,a,9416,a),flip(a)]. 9420 K(T(x,y),z \ T(T(x,u),y)) = K(T(x,y),z \ T(x,y)). [para(38(a,1),9416(a,1,2,2))]. 9421 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(9416(a,1),7580(a,1))]. 9422 L(K(x,x \ (y \ z)),y \ z,y) = K(x,y \ (x \ z)). [hyper(6654,a,9412,a)]. 9423 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [hyper(6653,a,9412,a)]. 9425 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(94(a,2),9412(a,1,2))]. 9426 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(157(a,1),9412(a,1,2)),flip(a)]. 9428 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4891(a,1),9413(a,1,2,2)),flip(a)]. 9430 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(9413(a,1),7094(a,2,1))]. 9431 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(7813(a,1),9413(a,1,2,2))]. 9432 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(198,a,7200,a(flip),b,9419,a)]. 9433 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(198,a,6634,a(flip),b,9419,a(flip))]. 9434 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(198,a,7023,a,b,9428,a),flip(a)]. 9436 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(7381(a,1),9431(a,1,2,2))]. 9437 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(7407(a,1),9431(a,1,2,2)),flip(a)]. 9438 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(13(a,1),9434(a,1,2,1)),flip(a)]. 9439 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(13(a,1),9434(a,1,2)),flip(a)]. 9440 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9434(a,1),6616(a,1,1))]. 9441 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(9434(a,1),7692(a,1,2,2))]. 9442 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(198,a,4924,a,b,9414,a)]. 9443 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7387(a,1),9442(a,1,2,1)),flip(a)]. 9444 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7407(a,1),9442(a,1,2,1)),flip(a)]. 9445 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(198,a,7596,a(flip),b,9443,a(flip))]. 9448 T(x,y \ K(x,z)) = T(x,y \ 1). [para(4210(a,1),9445(a,1,2,2)),flip(a)]. 9449 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(4852(a,1),9445(a,1,2,2))]. 9450 T(x,y \ T(x,z)) = T(x,y \ x). [para(4886(a,1),9445(a,1,2,2)),flip(a)]. 9451 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4891(a,1),9445(a,1,2,2))]. 9452 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5510(a,1),9445(a,1,2,2))]. 9453 T(T(x,y),z \ K(x,u)) = T(T(x,z \ 1),y). [para(9448(a,1),38(a,1,1)),flip(a)]. 9454 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(9448(a,1),5779(a,1,2,1))]. 9455 T(x,T(x,y) / z) = T(x,z \ x). [hyper(198,a,8463,a,b,9450,a(flip)),flip(a)]. 9456 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(198,a,7239,a(flip),b,9450,a(flip))]. 9458 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(9449(a,2),5033(a,1))]. 9460 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(9449(a,1),7632(a,1,2)),flip(a)]. 9461 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(198,a,9252,a,b,9451,a),flip(a)]. 9462 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9451(a,1),4925(a,1,2,1))]. 9464 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9461(a,1),4880(a,1,1,1))]. 9465 K(x,T(T(x,y),z) \ u) = K(x,x \ u). [hyper(198,a,9175,a(flip),b,9418,a)]. 9467 K(T(T(x,y),z) \ u,x) = K(x,x \ u) \ 1. [para(9465(a,1),5124(a,1,1)),flip(a)]. 9469 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(7363(a,1),9432(a,1,2,1))]. 9470 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(198,a,7295,a(flip),b,9460,a(flip))]. 9471 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(7293(a,1),9460(a,1,2)),flip(a)]. 9472 K(T(T(x,y),z) \ u,x) = K(x \ u,x). [hyper(198,a,5124,a(flip),b,9467,a)]. 9473 K(T(T(x,y),z) \ u,x) != w | K(x \ u,x) = w. [para(9467(a,2),5145(a,1))]. 9475 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(198,a,6101,a,b,9470,a)]. 9476 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(198,a,7692,a,b,9471,a),flip(a)]. 9478 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(198,a,6101,a,b,9475,a(flip)),flip(a)]. 9479 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(13(a,1),9478(a,1,2,2)),flip(a)]. 9481 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [hyper(198,a,7258,a(flip),b,9423,a)]. 9483 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4032(a,1),9425(a,2,2,2,2))]. 9485 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,9373,a)]. 9486 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(13(a,1),9373(a,2,2,1,2))]. 9487 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(9380(a,1),5700(a,1,1,1,2))]. 9488 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4891(a,1),9383(a,1,1,2)),flip(a)]. 9490 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(394(a,1),9391(a,2,1))]. 9492 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(9407(a,1),5285(a,1,2,2))]. 9493 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9407(a,1),6616(a,1,1))]. 9494 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(198,a,7094,a,b,9430,a)]. 9495 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(198,a,7635,a(flip),b,9436,a(flip))]. 9496 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(9452(a,1),4880(a,1,1,1))]. 9497 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(198,a,8171,a(flip),b,9488,a)]. 9498 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6244(a,1),9488(a,1,1,2)),flip(a)]. 9499 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(198,a,7549,a(flip),b,9497,a(flip))]. 9500 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(198,a,5554,a(flip),b,9499,a(flip)),flip(a)]. 9501 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(9231,a,9500,a)]. 9502 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4937(a,2),9494(a,1,2,1,2))]. 9503 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7206(a,1),9494(a,1,2,1,2))]. 9504 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(9341,a,8924,a(flip)),flip(a)]. 9505 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(8924(a,2),9341(a,1))]. 9506 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),9504(a,1,2,1,1)),flip(a)]. 9507 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4149(a,1),9506(a,1,2,1)),flip(a)]. 9508 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4197(a,2),9506(a,1,2,1)),flip(a)]. 9509 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(198,a,5118,a(flip),b,9426,a)]. 9511 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(198,a,9383,a(flip),b,9126,a(flip)),flip(a)]. 9512 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8160,a,9511,a),flip(a)]. 9514 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9512(a,1),7385(a,1,1,2)),flip(a)]. 9515 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(198,a,7385,a(flip),b,9514,a)]. 9516 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8552(a,1),9515(a,1,2,1))]. 9517 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(198,a,9260,a(flip),b,9516,a)]. 9518 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(198,a,9365,a(flip),b,9141,a(flip)),flip(a)]. 9519 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8249,a,9518,a),flip(a)]. 9522 K(x / (K(y,z) * u),y) = K(x / u,y). [para(7113(a,1),9519(a,1,1,2))]. 9523 K(x / (y * T(z,u)),u) = K(x / (y * z),u). [para(7390(a,1),9519(a,1,1,2)),flip(a)]. 9524 T(x,x * (y / R(x,z,x))) = T(x,y). [hyper(198,a,9028,a(flip),b,9156,a)]. 9525 T(x,y * R(x,z,x)) = T(x,x * y). [para(15(a,1),9524(a,1,2,2)),flip(a)]. 9526 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(198,a,4924,a(flip),b,9525,a)]. 9527 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5000,a,9526,a)]. 9528 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(198,a,9237,a,b,9527,a(flip)),flip(a)]. 9529 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(7254,a,9528,a)]. 9530 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(198,a,8438,a,b,9251,a(flip)),flip(a)]. 9531 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(7741,a,9301,a),flip(a)]. 9532 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6709,a,9531,a),flip(a)]. 9533 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(5882(a,1),9531(a,2,2))]. 9535 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7718(a,1),9532(a,1,1)),flip(a)]. 9536 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(198,a,8931,a(flip),b,9303,a(flip))]. 9538 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),9536(a,1,2,2)),flip(a)]. 9539 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(128(a,1),9536(a,1,2,2)),flip(a)]. 9540 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(198,a,7692,a,b,9538,a)]. 9541 K(x,T(y \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5. [para(9538(a,1),8613(a,1))]. 9542 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7932,a,9540,a)]. 9543 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9540(a,2),7928(a,1))]. 9544 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),9542(a,1,2,2)),flip(a)]. 9545 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(102(a,1),9542(a,1,2,2))]. 9546 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8042,a,9544,a)]. 9547 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(60(a,1),9546(a,1,2,2)),flip(a)]. 9548 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8116,a,9547,a),flip(a)]. 9549 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7713,a,9545,a)]. 9550 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9545(a,1),7746(a,1,1))]. 9551 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(198,a,5046,a,b,9345,a)]. 9552 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(9458,a,9551,a),flip(a)]. 9553 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(5000,a,9552,a)]. 9554 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(13(a,1),9553(a,1,2,2)),flip(a)]. 9555 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(198,a,9428,a,b,9554,a(flip)),flip(a)]. 9556 K(T(x,y),z \ T(x,y)) != u | K(x,T(z \ T(T(x,w),y),y)) = u. [para(9420(a,1),7577(a,1))]. 9557 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(198,a,9502,a(flip),b,9503,a)]. 9559 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(7986,a,9550,a),flip(a)]. 9560 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),9559(a,1,2,2,1)),flip(a)]. 9561 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7581,a,9560,a),flip(a)]. 9562 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(16(a,1),9561(a,1,2,2)),flip(a)]. 9564 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(198,a,4925,a(flip),b,9146,a)]. 9565 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7177(a,1),9564(a,1,2))]. 9566 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5882(a,1),9565(a,1,2,1))]. 9567 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(8674(a,2),9149(a,1,2,1)),flip(a)]. 9569 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(9197(a,1),9164(a,2,2))]. 9570 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(198,a,5823,a(flip),b,9569,a)]. 9572 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(8676,a,9570,a)]. 9573 a(x,y * K(x,z),x) = a(x,y,x). [hyper(198,a,8663,a(flip),b,9572,a)]. 9574 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9572(a,2),8676(a,1))]. 9575 a(x,y \ T(z,x),x) = a(x,y \ z,x). [para(7380(a,1),9573(a,1,2)),flip(a)]. 9577 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9393(a,1),7679(a,1,1)),flip(a)]. 9579 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(563(a,1),9417(a,1,2))]. 9580 K(x,a(K(x,y),z,u)) = 1. [hyper(198,a,5649,a(flip),b,9579,a(flip))]. 9582 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,9580,a)]. 9583 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(35,a,9582,a)]. 9584 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9582(a,1),38(a,1,1)),flip(a)]. 9585 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9582(a,1),106(a,1,2))]. 9586 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9582(a,1),7177(a,1,2,1)),flip(a)]. 9587 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9583(a,1),7177(a,1,2,1)),flip(a)]. 9588 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(578(a,1),9027(a,1,2)),flip(a)]. 9589 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(9101(a,1),9157(a,1,2)),flip(a)]. 9590 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5291(a,1),9589(a,1,2,1)),flip(a)]. 9591 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(7813(a,1),9590(a,1,2,1))]. 9592 K(x,T(y / (z / x),u)) = K(x,T(y / (x \ z),u)). [para(7389(a,1),9591(a,1,2,1)),flip(a)]. 9593 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5236(a,1),9130(a,1,2))]. 9594 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5236(a,1),9593(a,2,2))]. 9595 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9594(a,1),386(a,1,2)),flip(a)]. 9596 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4088(a,1),9595(a,1,2,1))]. 9597 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4088(a,1),9596(a,2,2,2))]. 9598 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9597(a,1),4125(a,1,1))]. 9599 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6561,a,9135,a)]. 9600 K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). [hyper(198,a,7093,a(flip),b,9155,a(flip)),flip(a)]. 9601 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(6712,a,9216,a)]. 9602 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(582(a,1),9307(a,1,1,2,1)),flip(a)]. 9603 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7094(a,2),9353(a,1,2))]. 9604 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(17,a,9476,a,b,9441,a)]. 9605 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(198,a,7711,a,b,9604,a)]. 9606 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1105(a,1),9604(a,1,2,2))]. 9607 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7713,a,9605,a)]. 9608 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9607(a,1),8006(a,1,2)),flip(a)]. 9609 (((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(9454(a,1),5826(a,1,2,1))]. 9610 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4835(a,1),9485(a,2,1)),flip(a)]. 9611 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(9599(a,1),389(a,1,2))]. 9612 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(198,a,5456,a(flip),b,9601,a)]. 9613 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9606(a,2),8042(a,1))]. 9614 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(198,a,7690,a(flip),b,9608,a)]. 9615 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8188,a,9614,a)]. 9616 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),9615(a,1,2,2)),flip(a)]. 9617 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(9616(a,1),4925(a,1,2,1))]. 9618 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7094(a,2),7096(a,1,1))]. 9619 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),7219(a,1,1))]. 9620 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5170,a,7343,a),flip(a)]. 9621 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(198,a,7192,a,b,9620,a(flip)),flip(a)]. 9622 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9621(a,1),7444(a,1,1,2)),flip(a)]. 9623 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(198,a,6274,a(flip),b,7367,a(flip))]. 9625 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(6636(a,1),9623(a,1,2,1,1))]. 9626 (x * K(y,T(z,x))) * (K(T(z,x),y) * u) = x * L(u,K(T(z,x),y),K(y,z) * x). [para(7113(a,1),7400(a,1,2,3)),flip(a)]. 9627 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(620,a,7611,a),flip(a)]. 9629 a(x,y,T(x,z)) = a(x,y,x). [hyper(9574,a,9627,a),flip(a)]. 9630 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9627(a,1),9574(a,1))]. 9632 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9629(a,1),8404(a,1))]. 9633 x * a(x,y,T(x,z)) = R(x,y,x). [para(9629(a,2),8669(a,1,2))]. 9634 x * (y * a(y,x,T(y,z))) = T(y * x,y). [para(9633(a,2),4232(a,1,2))]. 9635 x * ((y * a(y,x,T(y,z))) * L((y * a(y,x,T(y,z))) \ (x \ u),w,v5)) = T(y * x,y) * L((x * (y * a(y,x,T(y,z)))) \ u,w,v5). [para(9634(a,1),906(a,1,1)),flip(a)]. 9636 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6244(a,1),7666(a,1,2))]. 9637 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(434,a,9636,a),flip(a)]. 9638 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(4941(a,1),9637(a,1,2)),flip(a)]. 9640 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7667(a,1),620(a,1))]. 9641 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7844(a,1),8147(a,1,2))]. 9642 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7094(a,2),7875(a,1,1))]. 9643 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1195(a,1),8227(a,1,1,2))]. 9644 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7112(a,1),8910(a,1,1))]. 9645 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(8343(a,1),8965(a,1,2))]. 9646 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(198,a,6616,a(flip),b,9085,a(flip))]. 9647 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(106(a,1),9646(a,1,2,1)),flip(a)]. 9648 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(144(a,1),9646(a,1,2,1,2)),flip(a)]. 9649 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(9147,a,9409,a),flip(a)]. 9650 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(8617,a,9649,a),flip(a)]. 9651 K(x,y / (z * x)) = K(x,y / (x * z)). [para(84(a,1),9650(a,1,2,2))]. 9652 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1210(a,1),9650(a,1,2,2))]. 9653 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(4947(a,1),9650(a,1,2,2)),flip(a)]. 9654 K(x,y / (z * K(x,u))) = K(x,y / z). [para(7377(a,1),9650(a,1,2,2)),flip(a)]. 9655 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(7388(a,1),9650(a,1,2,2)),flip(a)]. 9656 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(198,a,6705,a(flip),b,9651,a)]. 9657 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(103(a,2),9651(a,2,2)),flip(a)]. 9658 K(x,y / ((z / x) * u)) = K(x,y / ((x \ z) * u)). [para(6553(a,1),9654(a,1,2,2))]. 9659 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(30(a,2),9655(a,1,2)),flip(a)]. 9660 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),9656(a,1,2,2,1)),flip(a)]. 9661 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4295(a,1),9656(a,1,2,2,1))]. 9662 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(198,a,5121,a(flip),b,9657,a(flip)),flip(a)]. 9663 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(15(a,1),9659(a,1,2)),flip(a)]. 9664 K(x,R(y,K(x,z),u)) = K(x,y). [hyper(198,a,9157,a(flip),b,9663,a)]. 9667 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),9664(a,1,2))]. 9668 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(7384(a,1),9653(a,1,2)),flip(a)]. 9669 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(198,a,5790,a(flip),b,9668,a(flip))]. 9670 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(198,a,5700,a(flip),b,9205,a)]. 9671 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(7377(a,1),9670(a,1,2)),flip(a)]. 9672 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [hyper(198,a,9407,a,b,9440,a)]. 9677 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(4046,a,9618,a),flip(a)]. 9679 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(198,a,7633,a(flip),b,9677,a(flip))]. 9680 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(198,a,9428,a,b,9679,a)]. 9682 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(57(a,1),9680(a,1,2,1,1)),flip(a)]. 9683 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(9680(a,1),7809(a,1,1))]. 9684 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(198,a,9438,a(flip),b,9682,a(flip))]. 9685 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(198,a,9104,a,b,9683,a(flip)),flip(a)]. 9686 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(7581,a,9684,a),flip(a)]. 9687 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6102(a,1),9686(a,1,2))]. 9688 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(198,a,6976,a(flip),b,9685,a)]. 9689 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(2747(a,1),9619(a,2,1,1))]. 9690 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9642(a,1),6925(a,1,1)),flip(a)]. 9691 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9561(a,1),9644(a,1,1,1))]. 9692 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(198,a,3096,a,b,9672,a)]. 9693 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2106(a,2),9672(a,2,2,1,2))]. 9694 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(7284(a,1),1777(a,2,2))]. 9695 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4893(a,1),7292(a,1,1)),flip(a)]. 9696 R(x,y,x * K(z,x)) = R(x,y,x). [para(4893(a,1),9695(a,1,3)),flip(a)]. 9697 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(4941(a,1),9696(a,1,3))]. 9698 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(7384(a,1),7411(a,2,2))]. 9699 T(x,T(y,z)) \ (T(x,y) * (T(x,T(y,z)) * u)) = T(x,y) * u. [para(7516(a,1),7524(a,1,2,2,1))]. 9700 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7629(a,1),7233(a,1))]. 9701 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7765(a,1),7742(a,1,1))]. 9702 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9701(a,1),104(a,1,1,1)),flip(a)]. 9703 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9701(a,1),5294(a,1,2))]. 9704 T(T(x,1 / (y / z)),K(u,z / y)) = x * K(x,1 / T(y / z,u)). [para(5646(a,2),7953(a,2,2))]. 9705 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(198,a,8027,a(flip),b,8033,a(flip)),flip(a)]. 9706 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(198,a,4298,a(flip),b,9705,a)]. 9708 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(198,a,4549,a(flip),b,9706,a)]. 9709 (1 / (1 / ((x * y) / x))) \ K(x,y) = (y \ 1) * K(y,1 / y). [para(4921(a,1),8355(a,1,1)),flip(a)]. 9710 (1 / (1 / ((x * y) / x))) \ K(x,y) = 1 / y. [hyper(198,a,4954,a(flip),b,9709,a)]. 9711 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(198,a,4127,a(flip),b,8368,a)]. 9712 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),9711(a,1,1,2,1)),flip(a)]. 9713 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(198,a,4128,a(flip),b,8369,a)]. 9714 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6497(a,1),8469(a,1,1))]. 9715 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4838(a,1),8499(a,1,1,2))]. 9716 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(4862(a,1),8560(a,1,2)),flip(a)]. 9717 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(7377(a,1),8642(a,1,1)),flip(a)]. 9718 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(8704(a,2),20(a,1))]. 9719 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(8772(a,1),8746(a,1,1,1,2))]. 9720 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7715(a,1),8755(a,1,1,1))]. 9721 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(390,a,8809,a)]. 9722 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(8911,a,8428,a),flip(a)]. 9723 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9722(a,1,2,2)),flip(a)]. 9724 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(198,a,7601,a,b,9723,a(flip)),flip(a)]. 9726 K(x,T(y,z * L(x,u,w))) = K(x,T(y,z)). [para(15(a,1),9724(a,1,2,2)),flip(a)]. 9727 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(123(a,1),9724(a,1,2,2)),flip(a)]. 9728 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(451(a,1),9724(a,1,2,2))]. 9729 K(x,T(y / (z * L(x,u,w)),z)) = K(x,(z * L(x,u,w)) \ y). [para(108(a,1),9726(a,1,2)),flip(a)]. 9731 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(198,a,9295,a(flip),b,9727,a(flip)),flip(a)]. 9732 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(198,a,7093,a(flip),b,9731,a(flip))]. 9733 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),9731(a,1,2,2,2)),flip(a)]. 9734 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(198,a,5507,a,b,9732,a)]. 9735 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(198,a,7093,a(flip),b,9733,a(flip))]. 9736 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9733(a,1),8605(a,1))]. 9737 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(9735(a,1),7825(a,1,1,1)),flip(a)]. 9738 K(T(x / (y * L(z,u,w)),y),z) = (K(z,(y * L(z,u,w)) \ x) \ v5) / v5. [para(9729(a,1),5282(a,1,1,1)),flip(a)]. 9739 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(7813(a,1),9737(a,2,1))]. 9740 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6256(a,1),8950(a,1,1,1)),flip(a)]. 9741 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(9740(a,2),14(a,1,2))]. 9742 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(6275(a,1),9740(a,2,1))]. 9743 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6290(a,1),9741(a,1,2,2))]. 9744 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(9741(a,1),7385(a,1,1)),flip(a)]. 9745 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(9741(a,1),9278(a,1,2,2)),flip(a)]. 9746 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(9741(a,1),9410(a,1,2,1)),flip(a)]. 9747 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(9741(a,1),9431(a,1,2,2)),flip(a)]. 9748 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(9741(a,1),9519(a,1,1,2)),flip(a)]. 9749 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(9741(a,1),9654(a,1,2,2)),flip(a)]. 9752 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(7377(a,1),9743(a,1,1,1))]. 9753 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(84(a,1),9745(a,1,2,2,1))]. 9754 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(222(a,1),9746(a,1,2,1,1))]. 9755 K(x,y \ ((z * x) * u)) = K(x,y \ ((x * z) * u)). [para(84(a,1),9747(a,1,2,2,1))]. 9757 K(x / ((T(y,z) \ 1) * u),y) = K(x / ((y \ 1) * u),y). [para(4885(a,1),9748(a,1,1,2,1))]. 9758 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7388(a,1),9748(a,1,1,2,1)),flip(a)]. 9759 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(84(a,1),9749(a,1,2,2,1))]. 9760 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(222(a,1),9749(a,1,2,2,1))]. 9761 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7388(a,1),9749(a,1,2,2,1)),flip(a)]. 9762 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(198,a,8646,a(flip),b,9752,a)]. 9764 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(7396,a,9752,a(flip))]. 9767 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(9752(a,2),6244(a,1,1))]. 9768 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7172(a,1),9752(a,1,2)),flip(a)]. 9770 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(198,a,9539,a(flip),b,9753,a)]. 9771 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(108(a,1),9770(a,1,2)),flip(a)]. 9774 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9758(a,1),8891(a,1,2,1,2,2)),flip(a)]. 9775 R(x,K(y,z),K(u,y)) = x. [hyper(424,a,9762,a)]. 9776 L(K(x,y),K(y,z),u) = K(x,y). [hyper(390,a,9762,a)]. 9777 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(65,a,9743,a(flip),b,9762,a(flip))]. 9778 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3346(a,1),9762(a,1,1))]. 9782 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(9776(a,1),398(a,1,2,1))]. 9783 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [hyper(198,a,8712,a(flip),b,9764,a(flip)),flip(a)]. 9785 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7113(a,1),9777(a,1,1))]. 9787 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(65,a,5128,a(flip),b,9783,a)]. 9788 (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). [hyper(198,a,6077,a,b,9787,a)]. 9789 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(9787(a,1),6875(a,2,1))]. 9790 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(7551,a,9767,a)]. 9791 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [para(7172(a,1),9785(a,2,2))]. 9792 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(198,a,7492,a(flip),b,9790,a)]. 9793 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7113(a,1),9791(a,1,2))]. 9794 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2984(a,2),9792(a,2,2))]. 9796 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7172(a,1),9768(a,1,1,2))]. 9798 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(13(a,1),8956(a,1,2))]. 9799 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(198,a,9612,a(flip),b,9798,a(flip)),flip(a)]. 9800 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9799(a,2),7865(a,1))]. 9801 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(7378,a,9099,a),flip(a)]. 9804 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(3500(a,1),9801(a,2,2))]. 9805 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(3500(a,1),9804(a,1,1,2))]. 9806 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(6709,a,9805,a),flip(a)]. 9807 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),9806(a,2,2))]. 9808 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(9806(a,2),6190(a,1,2))]. 9809 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(215,a,9808,a)]. 9810 R(K(x,y),z,x \ 1) = K(x,y). [hyper(424,a,9809,a)]. 9811 L(x \ 1,y,K(x,z)) = x \ 1. [hyper(390,a,9809,a)]. 9812 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(8745,a,9810,a)]. 9813 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9811(a,1),785(a,1,1)),flip(a)]. 9817 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9812(a,1),4924(a,2,2))]. 9818 T(x,R(y,z,x \ 1)) \ x = K(y,x). [para(9817(a,2),5013(a,1,1))]. 9819 K(R(x,y,z \ 1),z) = K(x,z). [hyper(4955,a,9818,a)]. 9820 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(9819(a,1),5341(a,1,1))]. 9821 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(198,a,4488,a(flip),b,9820,a(flip))]. 9823 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1181(a,1),9821(a,1,2,1))]. 9824 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(9823(a,1),60(a,1,1)),flip(a)]. 9825 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(271,a,9824,a)]. 9826 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(71,a,9824,a)]. 9827 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(9824(a,1),3162(a,1,2)),flip(a)]. 9828 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(9113(a,1),9119(a,1,2,2)),flip(a)]. 9829 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(198,a,5475,a(flip),b,9828,a)]. 9831 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(198,a,5478,a(flip),b,9829,a(flip))]. 9832 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(198,a,4880,a(flip),b,9236,a)]. 9833 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7113(a,1),9832(a,1,1))]. 9834 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(281(a,1),9833(a,1,1,1,1))]. 9835 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5544(a,1),9834(a,1,1)),flip(a)]. 9836 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(108(a,1),9835(a,1,1,2)),flip(a)]. 9837 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(7281(a,1),9286(a,2,1))]. 9838 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(9837(a,1),9269(a,1,2,2)),flip(a)]. 9839 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(198,a,8924,a(flip),b,9433,a(flip)),flip(a)]. 9840 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(9492(a,1),5401(a,1))]. 9841 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(7022(a,2),9498(a,1,1,2))]. 9842 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4840,a,9610,a),flip(a)]. 9843 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8826(a,1),9842(a,1,1,2))]. 9844 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(198,a,7460,a(flip),b,9622,a)]. 9845 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),9844(a,2,2))]. 9846 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(4116(a,2),9845(a,1,2,1)),flip(a)]. 9847 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(198,a,9623,a(flip),b,9625,a(flip))]. 9848 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(198,a,9660,a(flip),b,9661,a)]. 9849 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(198,a,9662,a,b,9848,a(flip)),flip(a)]. 9850 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(60(a,1),9849(a,2,2,2,1))]. 9851 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [para(9698(a,1),14(a,1,2))]. 9852 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [hyper(198,a,4924,a,b,9704,a)]. 9853 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(198,a,7940,a(flip),b,9852,a(flip)),flip(a)]. 9854 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(108(a,1),9852(a,2,2,2))]. 9855 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(198,a,8087,a(flip),b,9854,a(flip)),flip(a)]. 9856 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(198,a,9853,a(flip),b,9855,a(flip)),flip(a)]. 9857 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(8508,a,9856,a)]. 9858 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(57(a,1),9857(a,1,2,1,2)),flip(a)]. 9859 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(198,a,8212,a(flip),b,9858,a(flip))]. 9860 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(198,a,8194,a,b,9859,a(flip)),flip(a)]. 9861 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(66,a,8284,a(flip),b,9717,a)]. 9862 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(9535(a,1),9720(a,1,1))]. 9863 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7715(a,1),9862(a,2,1))]. 9864 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7711(a,1),9863(a,2,2))]. 9865 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(7377(a,1),9782(a,1,1)),flip(a)]. 9866 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(48(a,1),9839(a,1,2,1))]. 9867 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(198,a,9682,a(flip),b,9866,a),flip(a)]. 9868 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(198,a,8924,a(flip),b,9867,a(flip)),flip(a)]. 9869 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(48(a,1),9868(a,1,2,1)),flip(a)]. 9870 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(198,a,9390,a(flip),b,9841,a(flip))]. 9872 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(198,a,9600,a(flip),b,9870,a(flip))]. 9875 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(9872(a,1),8833(a,1))]. 9876 (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(198,a,3925,a(flip),b,9865,a)]. 9877 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(9193(a,1),7298(a,1,1))]. 9878 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(9117(a,1),9877(a,1,2)),flip(a)]. 9880 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(198,a,5221,a(flip),b,9878,a)]. 9882 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5245(a,1),9880(a,1,2))]. 9883 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(198,a,9337,a,b,9882,a(flip)),flip(a)]. 9885 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(8483(a,1),7466(a,1))]. 9887 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5281(a,1),9885(a,1,1,2))]. 9888 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(9434(a,1),9885(a,1,1))]. 9889 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(8393(a,2),7572(a,1))]. 9890 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(9889,a,9721,a)]. 9891 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9890(a,1,2,2)),flip(a)]. 9892 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(9234(a,1),9890(a,1,2))]. 9893 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(9235(a,1),9890(a,1,2))]. 9894 K(x / (y * L(z,u,w)),T(z,y)) != v5 | K((y * L(z,u,w)) \ x,z) = v5. [para(9892(a,1),8603(a,1))]. 9895 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),9893(a,1,2,2,2))]. 9896 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(9143(a,1),9893(a,1,2))]. 9897 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(8574,a,9896,a),flip(a)]. 9898 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(198,a,9263,a,b,9897,a(flip)),flip(a)]. 9899 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(8574,a,9895,a),flip(a)]. 9900 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),9899(a,1,2,2)),flip(a)]. 9901 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(198,a,8197,a(flip),b,9900,a(flip)),flip(a)]. 9902 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(198,a,9507,a(flip),b,9901,a(flip)),flip(a)]. 9903 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(198,a,8732,a(flip),b,9902,a(flip))]. 9904 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(7581,a,9903,a),flip(a)]. 9905 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(198,a,9401,a(flip),b,9904,a(flip)),flip(a)]. 9906 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(7829(a,1),7885(a,1,1,1,2))]. 9907 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(40(a,2),9906(a,2,2))]. 9908 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7076(a,1),9907(a,1,1,1,2))]. 9909 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3740(a,2),7886(a,1,1))]. 9910 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(198,a,7692,a,b,7892,a),flip(a)]. 9911 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8260,a,8733,a)]. 9912 K(x,T(y / (x \ z),z)) = K(x,z \ (x * y)). [hyper(198,a,9679,a(flip),b,9911,a)]. 9913 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9911(a,1),4924(a,2,2)),flip(a)]. 9914 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9913(a,1),4927(a,1))]. 9915 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(8233(a,1),8487(a,1,1)),flip(a)]. 9916 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7094(a,2),9915(a,2,1))]. 9918 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7177(a,1),9916(a,1,2,2)),flip(a)]. 9919 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(7427(a,2),9916(a,1,2,2)),flip(a)]. 9920 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(198,a,7006,a(flip),b,9402,a(flip))]. 9924 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9462(a,1),5170(a,1))]. 9925 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5166,a,9464,a),flip(a)]. 9927 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(198,a,7712,a(flip),b,9577,a)]. 9928 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7172(a,1),9690(a,1,1))]. 9929 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7809(a,1),9691(a,1,1)),flip(a)]. 9930 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9929(a,1),16(a,1,1))]. 9932 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9930(a,1,1,1,1))]. 9933 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(198,a,9907,a(flip),b,9908,a(flip))]. 9934 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * (z \ 1)),u,w)). [para(8089(a,1),9908(a,1,1,1,2))]. 9935 K(x,T(y * ((1 / y) * z),z * u)) = K(x,L(T(z,u),y \ 1,y)). [hyper(198,a,5851,a,b,9933,a(flip)),flip(a)]. 9936 K(x,T(y * ((1 / y) * z),z * (y \ 1))) = K(x,y * (z * (y \ 1))). [para(463(a,1),9935(a,2,2))]. 9937 K(x,T(y * ((1 / y) * z),y \ z)) = K(x,y * (z * (y \ 1))). [para(4504(a,1),9936(a,1,2))]. 9938 K(x,L(T(y,z \ y),z \ 1,z)) = K(x,z * (y * (z \ 1))). [hyper(198,a,5851,a(flip),b,9937,a(flip)),flip(a)]. 9939 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(5302(a,1),9909(a,2,2))]. 9940 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(9909(a,1),7992(a,2,2))]. 9941 K(a(x,y,z),T(x,x * (y * z))) != u | K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = u. [para(9909(a,1),8941(a,1))]. 9942 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(9734(a,1),9919(a,1,1)),flip(a)]. 9943 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7752,a,9927,a)]. 9944 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7186(a,1),9928(a,1,1))]. 9945 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(198,a,9642,a(flip),b,9944,a(flip))]. 9946 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(9744(a,2),9945(a,1,1))]. 9947 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9946(a,1),5145(a,1))]. 9948 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(7868(a,1),7121(a,1,2,1,2))]. 9949 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(7270,a,9813,a)]. 9950 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7813(a,1),9949(a,1,3))]. 9951 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6666,a,9950,a)]. 9953 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9951(a,1),1920(a,1,1,2))]. 9954 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(9951(a,1),2525(a,1,1))]. 9957 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6918(a,1),7348(a,1,2)),flip(a)]. 9958 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(198,a,3123,a,b,9957,a)]. 9959 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7907(a,1),7443(a,1,1,2))]. 9960 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5874(a,1),7617(a,1,1,2))]. 9961 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9960(a,2),8283(a,1,1))]. 9962 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(198,a,6659,a,b,7961,a)]. 9963 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(8018,a,8073,a)]. 9964 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(198,a,8017,a(flip),b,9963,a)]. 9965 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(442(a,2),9964(a,1,2,2))]. 9966 T(x,y) * (((x * y) / x) / T(x,y)) = ((x \ T(y,x)) \ y) * (x \ y). [para(3933(a,1),8141(a,1,2,1))]. 9967 ((x \ T(y,x)) \ y) * (x \ y) = T(x,y) * (y / x). [para(1303(a,1),9966(a,1,2)),flip(a)]. 9968 (T(x,y) * (y / x)) * K(x \ y,(x \ T(y,x)) \ y) = (x \ y) * ((x \ T(y,x)) \ y). [para(9967(a,1),84(a,1,1))]. 9969 T(T(x,y) * (x \ (x \ z)),T(x,y)) = T(x \ ((z / x) * T(x,y)),x). [para(108(a,1),8359(a,1,1,2))]. 9970 T(x \ (T(x,y) * (x \ z)),T(x,y)) = T(x \ ((z / x) * T(x,y)),x). [para(955(a,2),9969(a,1,1))]. 9971 T(x \ (x \ (T(x,y) * z)),T(x,y)) = T(x \ ((z / x) * T(x,y)),x). [para(955(a,2),9970(a,1,1,2))]. 9972 T(x \ (x \ (T(x,y) * z)),T(x,y)) = x \ (T(z / x,x) * T(x,y)). [hyper(198,a,7519,a,b,9971,a)]. 9973 T(x \ (x \ (T(x,y) * z)),T(x,y)) = x \ ((x \ z) * T(x,y)). [para(108(a,1),9972(a,2,2,1))]. 9974 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(106(a,1),8498(a,1,1,2,2))]. 9975 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4834(a,2),9974(a,1,1))]. 9976 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(198,a,8367,a(flip),b,9975,a(flip))]. 9977 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),9976(a,1,2,1,2)),flip(a)]. 9978 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(9976(a,1),7385(a,1,1,2))]. 9979 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(198,a,9407,a(flip),b,9977,a(flip)),flip(a)]. 9980 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(12(a,1),9979(a,2,2,1))]. 9981 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(13(a,1),9979(a,1,2,1,2)),flip(a)]. 9982 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(198,a,9647,a,b,9980,a(flip)),flip(a)]. 9983 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(16(a,1),9980(a,1,2,1)),flip(a)]. 9984 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(198,a,7259,a(flip),b,9982,a(flip)),flip(a)]. 9985 K(x,T((x \ 1) \ y,z) \ u) = K(x,T(x * y,z) \ u). [para(532(a,1),9984(a,1,2,1)),flip(a)]. 9986 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(9983(a,1),6616(a,1,1))]. 9988 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(198,a,7260,a,b,9981,a(flip)),flip(a)]. 9989 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(7398,a,9978,a),flip(a)]. 9990 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(198,a,9366,a(flip),b,9989,a(flip)),flip(a)]. 9992 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9990(a,1),5046(a,2,2,2)),flip(a)]. 9993 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5048,a,9992,a),flip(a)]. 9994 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(198,a,9444,a,b,9993,a(flip)),flip(a)]. 9995 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9994(a,1),4880(a,1,1,1))]. 9996 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(198,a,9988,a(flip),b,9986,a(flip))]. 9997 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(198,a,9648,a(flip),b,9996,a(flip))]. 9998 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),9997(a,1,2,2))]. 9999 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(9315,a,9998,a)]. 10000 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1132(a,1),8505(a,1,2)),flip(a)]. 10001 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7589(a,1),8655(a,1,2)),flip(a)]. 10003 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1463(a,1),8689(a,1,2,2))]. 10004 K(((L(x,y,z) * (u * x)) / w) \ x,x) = K(w / (L(x,y,z) * u),x). [hyper(198,a,9523,a(flip),b,8837,a)]. 10005 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4986(a,1),8844(a,1,1,2))]. 10006 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4959(a,1),10005(a,1,2,2))]. 10007 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7711(a,1),8856(a,1,1))]. 10008 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(198,a,8891,a(flip),b,8895,a)]. 10009 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(60(a,1),10008(a,1,2,1,1)),flip(a)]. 10010 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(198,a,8925,a(flip),b,8927,a(flip)),flip(a)]. 10011 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4076(a,1),8960(a,1,1))]. 10012 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(198,a,9652,a(flip),b,10011,a)]. 10013 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(198,a,8781,a(flip),b,9490,a)]. 10015 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(198,a,9990,a(flip),b,10013,a(flip)),flip(a)]. 10016 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),9712(a,1,1,2,1)),flip(a)]. 10017 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),9713(a,1,1,2,1))]. 10018 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(9672(a,1),9888(a,1))]. 10019 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4399(a,1),9962(a,2,1))]. 10020 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5818(a,1),10019(a,1,2))]. 10021 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(10020(a,1),9356(a,1,2)),flip(a)]. 10023 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(4086(a,2),10021(a,2,2,1))]. 10024 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(17,a,10021,a(flip),b,10023,a(flip))]. 10025 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5479(a,1),10024(a,1,1,1))]. 10026 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(198,a,7357,a,b,10000,a(flip)),flip(a)]. 10027 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(106(a,1),10003(a,1,2)),flip(a)]. 10028 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(5896(a,1),10007(a,1,2))]. 10029 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5312,a,10028,a)]. 10030 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(7679(a,1),10029(a,1,1))]. 10031 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(7999(a,1),10030(a,1,1))]. 10032 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(8913,a,10031,a)]. 10033 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(8026(a,1),10025(a,2,1,2))]. 10034 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(198,a,7354,a(flip),b,10026,a(flip)),flip(a)]. 10035 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(7438(a,1),7440(a,2,2))]. 10036 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(198,a,8931,a(flip),b,8440,a(flip)),flip(a)]. 10038 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(108(a,1),10036(a,1,2)),flip(a)]. 10039 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(198,a,9240,a(flip),b,10038,a(flip)),flip(a)]. 10040 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(198,a,8429,a(flip),b,10039,a(flip)),flip(a)]. 10043 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7761,a,8854,a)]. 10044 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7969(a,1),8881(a,1,1))]. 10045 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(198,a,5696,a(flip),b,9292,a)]. 10046 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(198,a,5698,a(flip),b,9293,a)]. 10047 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(5019(a,1),10046(a,1,1)),flip(a)]. 10048 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(5291(a,1),10046(a,1,1)),flip(a)]. 10049 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5291(a,1),10048(a,1,1)),flip(a)]. 10050 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(5872(a,1),10048(a,1,1,1))]. 10051 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [para(10049(a,1),4924(a,2,2)),flip(a)]. 10052 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6337,a,10051,a),flip(a)]. 10053 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7782(a,1),9309(a,1,1,3))]. 10054 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5281(a,1),10053(a,2,2))]. 10055 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(5697,a,9372,a),flip(a)]. 10056 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(94(a,2),10055(a,1,1))]. 10057 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10055(a,1),8529(a,1,2))]. 10058 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(9643,a,9715,a),flip(a)]. 10059 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),10058(a,2,2,1))]. 10060 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(57(a,1),10058(a,1,2,1,2)),flip(a)]. 10061 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(198,a,7046,a(flip),b,10059,a(flip))]. 10063 K(x,K(y \ x,y) * z) = K(x,z). [para(13(a,1),10061(a,1,2)),flip(a)]. 10064 K(x,y * K(z \ x,z)) = K(x,y). [hyper(8629,a,10063,a)]. 10065 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),10063(a,1,2,1,1))]. 10066 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5769(a,1),10063(a,1,2)),flip(a)]. 10068 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(7380(a,1),10064(a,1,2)),flip(a)]. 10069 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(10065(a,1),4893(a,1,1,2))]. 10070 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(272(a,1),10060(a,1,2,1)),flip(a)]. 10071 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(7428(a,1),10070(a,1,2,1))]. 10072 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(198,a,9469,a,b,10071,a(flip)),flip(a)]. 10073 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4884(a,1),10071(a,1,2,1)),flip(a)]. 10075 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(198,a,6633,a(flip),b,10072,a(flip)),flip(a)]. 10076 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4947(a,1),10075(a,1,2,2))]. 10077 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(57(a,1),10076(a,1,2,2,2))]. 10078 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(10077(a,1),6626(a,1))]. 10079 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(10069(a,1),6246(a,1,2)),flip(a)]. 10080 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1105(a,1),9688(a,1,2,1))]. 10081 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. [para(9692(a,2),6386(a,1))]. 10082 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9984(a,1),9692(a,1,1))]. 10083 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(9440(a,1),10081(a,1))]. 10084 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(198,a,270,a(flip),b,9702,a)]. 10085 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(198,a,4917,a,b,10084,a)]. 10087 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(198,a,7711,a,b,10085,a)]. 10089 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(9232(a,1),9831(a,1,1,2))]. 10090 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(198,a,5478,a(flip),b,10089,a(flip))]. 10092 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [para(7194(a,1),10090(a,1,2)),flip(a)]. 10093 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(8022(a,1),10092(a,1,2))]. 10094 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9932(a,2,2,1,1))]. 10095 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(77,a,10094,a)]. 10097 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(106(a,2),10095(a,1,2))]. 10098 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(10079(a,2),10097(a,1,1))]. 10099 K(x,L(T(y,y * (z \ 1)),u,w)) = K(x,L(T(y,z),u,w)). [hyper(198,a,9907,a(flip),b,9934,a(flip))]. 10100 K(x,L(T(y,z \ y),u,w)) = K(x,L(T(y,z),u,w)). [para(1749(a,1),10099(a,1,2,1))]. 10101 K(x,L(T(y,z),z \ 1,z)) = K(x,z * (y * (z \ 1))). [hyper(198,a,9938,a(flip),b,10100,a(flip))]. 10103 K(T(x,y),y * (z * (y \ 1))) != u | K(x,L(z,y \ 1,y)) = u. [para(10101(a,1),8615(a,1))]. 10104 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(198,a,4316,a(flip),b,10035,a)]. 10105 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(198,a,9883,a(flip),b,10104,a)]. 10107 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(10043(a,1),7761(a,1))]. 10108 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7811(a,1),10044(a,1,1,2,1))]. 10109 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(571(a,1),10080(a,1,2,2))]. 10110 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [hyper(434,a,10098,a)]. 10111 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10098(a,1),434(a,1))]. 10112 R(K(x,y),T(z,u),T(y * x,z)) = L(K(x,y),T(z,u),y * x). [hyper(198,a,8909,a(flip),b,10110,a(flip)),flip(a)]. 10113 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5342(a,1),4979(a,2,1))]. 10114 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4893(a,1),10113(a,1,1,1))]. 10115 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(10114(a,1),60(a,1,1))]. 10116 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4231(a,1),10115(a,1,1,2))]. 10117 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(6058(a,1),5137(a,1,2,1))]. 10118 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(8252,a,10117,a)]. 10119 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(7094(a,2),10118(a,1,2,1))]. 10120 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(161(a,1),5402(a,1,2)),flip(a)]. 10121 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5124(a,1),10120(a,1,1,2,1))]. 10122 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(162(a,1),5403(a,1,2)),flip(a)]. 10123 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5124(a,1),10122(a,1,1,2,1))]. 10125 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3517(a,1),5938(a,1,1))]. 10126 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5552(a,1),10125(a,1,1,1))]. 10127 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(198,a,1761,a(flip),b,6096,a)]. 10128 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(198,a,4284,a(flip),b,10127,a)]. 10129 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(8139(a,1),10128(a,1,2))]. 10130 T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). [para(10129(a,1),637(a,1,2))]. 10131 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6577(a,1),6114(a,1,1,1))]. 10132 x * (T(y * (x \ 1),y) / y) = y \ R(y,x \ 1,y). [hyper(198,a,8403,a(flip),b,10131,a(flip))]. 10133 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(66,a,8403,a(flip),b,10131,a(flip))]. 10134 x * (T(y * (x \ 1),y) / y) = a(y,x \ 1,y). [hyper(198,a,8663,a(flip),b,10132,a)]. 10135 K(x,y / (K(z * u,u \ 1) \ z)) = K(x,y / ((u \ 1) * (z / (1 / u)))). [para(6024(a,1),6176(a,1,2,2,1))]. 10136 T(T(x,y) * y,K(y,T(z,x))) = ((x * y) / x) * T(x,T((x * y) / x,z)). [para(7829(a,1),6542(a,1,2))]. 10137 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5406(a,1),6807(a,1,2,2,1,1))]. 10138 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4939(a,1),10137(a,1,2,2,1)),flip(a)]. 10139 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(198,a,950,a(flip),b,6870,a(flip)),flip(a)]. 10140 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(8652(a,1),7005(a,1)),flip(a)]. 10141 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7403,a,8654,a)]. 10142 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(198,a,1804,a(flip),b,10141,a)]. 10143 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7377(a,1),10142(a,1,2)),flip(a)]. 10144 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(8900(a,1),10143(a,1,2))]. 10145 T(x,a(y,z,K(x,u))) = x. [para(10143(a,1),9114(a,1,2))]. 10146 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(10145(a,1),7113(a,1,2,2)),flip(a)]. 10148 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(8480,a,10144,a)]. 10149 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5311,a,10144,a)]. 10150 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1806,a,10144,a)]. 10151 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(622,a,10144,a)]. 10152 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(198,a,6103,a,b,10144,a(flip)),flip(a)]. 10154 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5852(a,1),10144(a,1,2))]. 10155 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6605(a,1),10144(a,1,2))]. 10156 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(10144(a,1),8920(a,1,1,2))]. 10157 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(10144(a,1),10121(a,1,1)),flip(a)]. 10158 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(10149(a,1),9340(a,1,2,2,2)),flip(a)]. 10159 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6106,a,10150,a)]. 10160 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(198,a,8654,a,b,10150,a(flip)),flip(a)]. 10161 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6610(a,1),10150(a,1,1))]. 10162 (x * L(K(y,z),u,w)) * K(z,y) = x * a(w,u,K(z,y)). [para(10150(a,1),8653(a,2,2))]. 10163 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(10152(a,1),76(a,1,2)),flip(b)]. 10164 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(6785(a,1),10159(a,1,1))]. 10165 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(10155(a,1),5569(a,2,2))]. 10167 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6104(a,1),10157(a,1,2)),flip(a)]. 10168 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [hyper(7396,a,10162,a)]. 10169 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(65,a,5291,a(flip),b,10167,a),flip(a)]. 10170 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(18,a,10156,a,b,10168,a),flip(a)]. 10171 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(493,a,10170,a)]. 10172 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(198,a,4994,a(flip),b,10170,a(flip))]. 10173 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(10170(a,1),189(a,1,1)),flip(b)]. 10174 x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. [para(10171(a,1),254(a,1,2)),flip(b)]. 10175 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(230(a,2),10173(a,1,1))]. 10176 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(10151(a,1),9851(a,1,1))]. 10177 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(198,a,5080,a,b,10160,a),flip(a)]. 10178 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(5882(a,1),10154(a,1,1))]. 10179 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(198,a,9271,a(flip),b,10158,a)]. 10181 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7600,a,10165,a)]. 10182 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(118(a,1),10181(a,1,2,2))]. 10183 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8581(a,1),7628(a,1,1)),flip(a)]. 10184 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(198,a,7232,a(flip),b,10183,a)]. 10185 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(3947(a,1),10184(a,1,1)),flip(a)]. 10186 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9700,a,10185,a)]. 10187 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(198,a,13,a(flip),b,7668,a)]. 10189 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [para(10187(a,1),14(a,1,2))]. 10190 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(10189(a,1),6871(a,1,2))]. 10191 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(68,a,8279,a),flip(a)]. 10192 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4566(a,1),10191(a,1,1)),flip(a)]. 10193 (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(6161,a,10192,a)]. 10194 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(198,a,5695,a(flip),b,8282,a)]. 10196 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(198,a,8372,a(flip),b,8373,a)]. 10197 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(57(a,1),10196(a,1,1,2,1,2,1))]. 10198 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(198,a,8297,a(flip),b,10197,a(flip)),flip(a)]. 10199 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(8106,a,10198,a)]. 10200 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(198,a,7545,a(flip),b,8413,a)]. 10202 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(198,a,4627,a(flip),b,8752,a(flip)),flip(a)]. 10203 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(198,a,8750,a(flip),b,10202,a(flip))]. 10204 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(162(a,1),8890(a,2,1))]. 10205 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(198,a,8840,a(flip),b,10204,a(flip))]. 10206 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1554(a,1),8916(a,1,2))]. 10207 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(620,a,10206,a),flip(a)]. 10209 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [para(10207(a,1),4897(a,1,2)),flip(a)]. 10210 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(10207(a,1),8917(a,1,2))]. 10211 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(9637(a,1),10207(a,1,2)),flip(a)]. 10212 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(9920(a,1),10207(a,1,2))]. 10214 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(5311,a,10210,a)]. 10215 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(161(a,1),10214(a,1,2,1))]. 10216 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). [hyper(65,a,8842,a(flip),b,10209,a(flip))]. 10217 a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). [hyper(198,a,10216,a(flip),b,10212,a(flip))]. 10219 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(5143(a,1),10215(a,1,1))]. 10220 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(8097(a,1),10219(a,1,2)),flip(a)]. 10221 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(198,a,9645,a(flip),b,10220,a)]. 10222 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(198,a,10217,a(flip),b,10221,a(flip))]. 10224 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(10222(a,1),6158(a,1,1))]. 10225 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1692(a,1),8918(a,1,2))]. 10226 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(620,a,10225,a),flip(a)]. 10227 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10225(a,1),620(a,1))]. 10228 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(198,a,8418,a,b,10226,a(flip)),flip(a)]. 10229 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10226(a,1),14(a,1,2))]. 10230 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10226(a,1),6767(a,1,1)),flip(a)]. 10231 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10226(a,1),8889(a,1,2)),flip(a)]. 10232 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(10093(a,2),10226(a,1,2))]. 10233 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(4440(a,1),10230(a,2,1))]. 10235 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10228(a,1),7376(a,1,1))]. 10236 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(10228(a,1),8307(a,1,1)),flip(a)]. 10237 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(9247(a,1),10228(a,1,1))]. 10238 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),10235(a,1,2,2))]. 10239 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5368,a,10231,a)]. 10240 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(198,a,950,a(flip),b,10239,a(flip)),flip(a)]. 10241 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10239(a,1),14(a,1,2))]. 10242 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(198,a,8925,a(flip),b,8928,a(flip))]. 10243 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(198,a,10010,a(flip),b,10242,a(flip))]. 10244 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(198,a,7831,a(flip),b,10243,a)]. 10245 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(8605,a,10244,a)]. 10246 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(198,a,9359,a,b,10245,a(flip)),flip(a)]. 10247 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5882(a,1),9533(a,1,1,2))]. 10248 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4692,a,10247,a)]. 10249 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6102(a,1),10248(a,2,1))]. 10250 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6107,a,10249,a),flip(a)]. 10251 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(198,a,160,a(flip),b,10250,a)]. 10252 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(9343(a,1),9719(a,1,1,1,2)),flip(a)]. 10253 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1322(a,1),10252(a,2,1))]. 10254 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(198,a,7847,a(flip),b,10253,a)]. 10255 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(198,a,9276,a(flip),b,10254,a(flip)),flip(a)]. 10256 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(8247,a,10255,a)]. 10258 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(14(a,1),10256(a,1,2,2,1)),flip(a)]. 10259 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(24(a,2),10256(a,1,2,2)),flip(a)]. 10260 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(4636(a,1),10256(a,1,2)),flip(a)]. 10262 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(198,a,8818,a(flip),b,10258,a(flip)),flip(a)]. 10263 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(14(a,1),10262(a,1,2,2,2)),flip(a)]. 10272 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(563(a,1),10259(a,1,2,2))]. 10273 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(8618,a,10272,a),flip(a)]. 10274 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(10273(a,1),4924(a,2,2))]. 10275 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(198,a,4924,a,b,10274,a)]. 10276 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10275(a,1),8576(a,1,1,1))]. 10280 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7571,a,10276,a)]. 10288 ((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(10090(a,1),10139(a,2,2,2,1,1))]. 10289 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(10227,a,10232,a)]. 10290 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(10093(a,1),10233(a,1,1))]. 10291 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9456(a,1),5845(a,1,1))]. 10292 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3415(a,1),5984(a,1,2,1,1))]. 10293 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3096(a,1),10292(a,1,2))]. 10294 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(5620,a,6134,a),flip(a)]. 10296 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1461(a,1),10294(a,1,1))]. 10297 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(198,a,5707,a(flip),b,10296,a(flip)),flip(a)]. 10298 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(198,a,6938,a(flip),b,6738,a(flip))]. 10299 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1651(a,2),6799(a,1,2))]. 10300 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(8431(a,1),6812(a,1,2,2))]. 10301 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(5395,a,10300,a)]. 10303 (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(7172(a,1),7877(a,2,1,2))]. 10304 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4076(a,1),8697(a,1,1)),flip(a)]. 10305 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5289(a,1),8966(a,1,2)),flip(a)]. 10306 L(x * K(y,z),K(z,y),x * K(y,z)) != u | T(K(y,z) * x,x) = u. [para(10305(a,2),7636(a,1))]. 10307 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7094(a,2),9069(a,2,2,1))]. 10308 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),9332(a,1,1,2))]. 10309 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(9496(a,1),5166(a,1))]. 10310 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5170,a,9617,a),flip(a)]. 10311 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(198,a,8513,a(flip),b,10310,a)]. 10312 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8514,a,10311,a)]. 10313 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9836(a,1),10312(a,1,2))]. 10314 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(198,a,10057,a(flip),b,10313,a(flip))]. 10315 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(198,a,8337,a(flip),b,10314,a(flip))]. 10316 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7713,a,10315,a)]. 10317 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(198,a,9943,a(flip),b,10316,a(flip)),flip(a)]. 10318 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(198,a,9641,a(flip),b,10317,a)]. 10320 K(x,K(y,a(z,x,u))) = 1. [para(144(a,1),10318(a,1,2,2,3))]. 10322 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10320(a,1),7683(a,1,2)),flip(a)]. 10323 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(198,a,12,a(flip),b,10322,a)]. 10324 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(198,a,7939,a(flip),b,10323,a(flip)),flip(a)]. 10325 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10324(a,1),106(a,1,2)),flip(a)]. 10326 (x * K(y,T(z,x))) * (K(T(z,x),y) * u) = x * L(u,K(z,T(y,x)),K(y,z) * x). [para(7172(a,1),9626(a,2,2,2))]. 10327 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9905(a,2),8618(a,1))]. 10328 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9995(a,1),5166(a,1))]. 10329 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7107(a,1),10237(a,1,2)),flip(a)]. 10330 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(198,a,10228,a(flip),b,10329,a)]. 10332 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(108(a,1),10330(a,1,2)),flip(a)]. 10333 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(296(a,1),10330(a,1,2,2))]. 10334 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10332(a,1),10238(a,1,1))]. 10335 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(198,a,7134,a(flip),b,10334,a)]. 10336 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(4772(a,1),10291(a,1,1))]. 10337 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(217,a,10299,a)]. 10338 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5899(a,1),10337(a,1,2)),flip(a)]. 10339 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5245(a,1),10338(a,2,2))]. 10340 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(60(a,1),10339(a,1,1,2,1))]. 10341 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(60(a,1),10340(a,2,2,1,2))]. 10342 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(65,a,6375,a(flip),b,10341,a(flip))]. 10343 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(65,a,10341,a(flip),b,6727,a(flip))]. 10346 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4877(a,1),10341(a,2,2))]. 10348 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7377(a,1),10341(a,1,1)),flip(a)]. 10349 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(107(a,1),10342(a,2,1))]. 10350 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5211,a,10343,a)]. 10351 K(L(x,y \ 1,z) \ 1,y) = K(x \ 1,y). [hyper(6139,a,10350,a)]. 10354 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(198,a,8992,a(flip),b,10351,a)]. 10355 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(198,a,6727,a(flip),b,10346,a(flip)),flip(a)]. 10356 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4893(a,1),10348(a,1,2,1))]. 10357 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(10349(a,1),4676(a,1,1)),flip(a)]. 10358 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(10355(a,1),3548(a,1,1))]. 10359 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(198,a,4038,a(flip),b,10357,a(flip)),flip(a)]. 10360 ((((x / y) \ 1) * x) \ x) \ x = ((y \ x) \ 1) * x. [para(60(a,1),10359(a,2,1,1,1))]. 10361 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6158(a,1),10359(a,2,1,1))]. 10362 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [hyper(198,a,4042,a(flip),b,10360,a(flip)),flip(a)]. 10363 T(x,T(((y / z) \ 1) * y,y)) = T(x,((z \ y) \ 1) * y). [para(10360(a,1),8458(a,1,2)),flip(a)]. 10364 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6823(a,1),10361(a,1,1))]. 10365 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10364(a,1),4601(a,2,1))]. 10366 R(x,y \ 1,K(z,y)) = x. [hyper(255,a,10358,a)]. 10369 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(198,a,5005,a(flip),b,10366,a(flip)),flip(a)]. 10370 R(x,y \ 1,K(z,T(y,u))) = x. [para(7099(a,1),10366(a,1,3))]. 10371 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(4893(a,1),10370(a,1,3,2))]. 10372 R(x,y \ K(y,z),K(u,y)) = x. [para(5139(a,1),10371(a,1,2))]. 10373 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(198,a,7437,a(flip),b,10372,a(flip)),flip(a)]. 10374 R(x,y,K(z,y \ 1)) = x. [para(247(a,1),10372(a,1,2))]. 10376 R(x,y \ z,K(u,z \ y)) = x. [para(6455(a,1),10374(a,1,3))]. 10377 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(10376(a,1),419(a,1,1))]. 10378 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(4885(a,1),10369(a,1,2))]. 10379 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(10378(a,1),60(a,1,1))]. 10380 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(198,a,6693,a,b,10379,a(flip)),flip(a)]. 10381 (T(x,y) \ 1) \ T(y,x) = (x \ 1) \ y. [para(10380(a,1),60(a,1,1))]. 10382 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(10380(a,1),4348(a,1,1)),flip(a)]. 10383 K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y. [para(10381(a,1),6211(a,1,2))]. 10385 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4924(a,2),10373(a,1,1))]. 10386 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(10385(a,2),60(a,1,1))]. 10387 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5119(a,1),10386(a,2,2))]. 10388 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(60(a,1),10382(a,1,1,2,1)),flip(a)]. 10389 (T(x,y) \ 1) \ y = x * (((x \ 1) \ y) / x). [hyper(198,a,5327,a(flip),b,10383,a(flip))]. 10390 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(10388(a,1),57(a,1,2))]. 10392 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(198,a,8497,a,b,10390,a(flip))]. 10393 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(10392(a,1),2425(a,1,1))]. 10394 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(5943(a,2),10393(a,1,1))]. 10395 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(13(a,1),10394(a,1,1,1,1)),flip(a)]. 10396 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(8720(a,1),10395(a,1,1,1)),flip(a)]. 10397 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(10377(a,1),6743(a,1,2))]. 10398 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(108(a,1),10387(a,1,1,1))]. 10399 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(10398(a,1),6819(a,1,1))]. 10400 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4334(a,2),10399(a,1,1,2))]. 10401 (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(9670(a,1),10400(a,1,1,2))]. 10402 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5152(a,1),10356(a,1,1,2))]. 10403 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5512(a,1),10402(a,2,2))]. 10405 R(x,K(y \ 1,z),y) = x. [hyper(4743,a,10403,a)]. 10406 L(x \ 1,K(x,y),z) = x \ 1. [hyper(390,a,10403,a)]. 10407 R(x,y,K(y \ 1,z)) = x. [hyper(6824,a,10405,a)]. 10408 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(10407(a,1),102(a,1,1)),flip(a)]. 10409 R(x,y \ z,K(y / z,u)) = x. [para(7889(a,1),10407(a,1,3))]. 10410 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(10409(a,1),419(a,1,1))]. 10411 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(390,a,10408,a)]. 10412 a(x,y,K(y \ 1,z)) = 1. [hyper(34,a,10411,a)]. 10413 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(198,a,1240,a(flip),b,10410,a(flip))]. 10414 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5610,a,10397,a),flip(a)]. 10415 K((x \ y) * (y \ x),z) = 1. [hyper(36,a,10414,a)]. 10417 K(x * ((y * x) \ y),z) = 1. [para(13(a,1),10415(a,1,1,1))]. 10418 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(37,a,10417,a)]. 10419 T(x,y * ((z * y) \ z)) = x. [hyper(35,a,10418,a)]. 10420 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [para(10418(a,1),176(a,1,2))]. 10421 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(140(a,2),10418(a,1,1,2))]. 10422 K(x,y * ((z * y) \ z)) = 1. [hyper(36,a,10419,a)]. 10426 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(198,a,9953,a(flip),b,10421,a(flip)),flip(a)]. 10427 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(198,a,5598,a(flip),b,10421,a(flip)),flip(a)]. 10431 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10426(a,1),1854(a,1,1))]. 10432 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9603(a,1),10303(a,2,1))]. 10433 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(198,a,10054,a(flip),b,10432,a)]. 10434 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7172(a,1),10433(a,1,1,2))]. 10435 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7813(a,1),10434(a,1,2))]. 10436 (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(9586(a,2),10435(a,1,1))]. 10437 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(10032(a,1),10307(a,2,2))]. 10438 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(198,a,106,a(flip),b,10437,a)]. 10439 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7094(a,2),10438(a,1,1,2))]. 10440 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(10406(a,1),10439(a,1,1))]. 10441 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10440(a,1),6194(a,1,2))]. 10443 R(K(x,y),y \ 1,z) = K(x,y). [hyper(198,a,6934,a(flip),b,10441,a(flip)),flip(a)]. 10445 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(7773(a,1),10308(a,1,2))]. 10446 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9847(a,1),10336(a,1,1))]. 10447 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8150(a,1),10445(a,1,2))]. 10448 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(10447(a,1),5478(a,1,1,2))]. 10450 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5475(a,1),10448(a,1,1))]. 10451 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(198,a,7007,a(flip),b,10450,a(flip))]. 10452 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10451(a,1),8419(a,2,1))]. 10453 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(48(a,1),10446(a,1,1,2,1))]. 10454 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7102(a,1),10453(a,1,2))]. 10455 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(3096(a,1),10454(a,1,2))]. 10456 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4700(a,1),4720(a,2,1))]. 10457 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(198,a,5200,a,b,4781,a(flip)),flip(a)]. 10458 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6097(a,1),10457(a,1,2))]. 10459 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(6703(a,1),10458(a,2,1))]. 10460 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(4872(a,2),10459(a,2,1,1))]. 10461 x \ K((x * ((y \ 1) / x)) \ 1,z) = K(y,z) / T(x,x \ 1). [hyper(198,a,7395,a(flip),b,10460,a)]. 10462 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [para(10461(a,1),14(a,1,2)),flip(a)]. 10463 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(107(a,1),10462(a,2,2,2))]. 10464 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9584(a,1),5031(a,1,2))]. 10466 (K(x,y) / y) * T((K(x,y) / y) \ z,u) = T(z * T(y,x),u) / T(y,x). [para(4967(a,2),5108(a,1,2)),flip(a)]. 10467 T(K(x,y) * T(y,x),z) / T(y,x) = (K(x,y) / y) * T(y,z). [para(60(a,1),10466(a,1,2,1)),flip(a)]. 10468 T(K(x,y) * T(y,x),z) / T(y,x) = K(y,x) \ K(y,z). [hyper(198,a,6284,a(flip),b,10467,a)]. 10469 T(x,y) / T(x,z) = K(x,z) \ K(x,y). [para(4886(a,1),10468(a,1,1,1))]. 10470 (K(x,y) \ K(x,z)) \ T(x,z) = T(x,y). [para(10469(a,1),60(a,1,1))]. 10471 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4902(a,1),5256(a,2,2))]. 10472 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(10471(a,2),400(a,1))]. 10474 L(x,y,T(x,z)) = L(x,y,x). [hyper(10472,a,7300,a),flip(a)]. 10476 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10474(a,1),40(a,2,1))]. 10479 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(198,a,40,a,b,10476,a)]. 10481 L(T(x,y),T(z,x),x) != u | L(T(x,y),z,x) = u. [para(10479(a,1),4436(a,1))]. 10482 K(L(T(x,y),z,x),u) = K(T(x,y),u). [para(10479(a,1),7038(a,1,1))]. 10483 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10479(a,1),8870(a,1,2,1))]. 10484 K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). [para(10482(a,1),5016(a,1,1))]. 10485 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(8882,a,10483,a),flip(a)]. 10487 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10485(a,1),8873(a,1,1,2))]. 10494 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(198,a,4681,a,b,6293,a),flip(a)]. 10495 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(7390(a,1),7430(a,2,1))]. 10496 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(198,a,30,a,b,10495,a)]. 10499 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(147(a,1),10496(a,1,2))]. 10500 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(9638(a,1),10499(a,1,1))]. 10501 T(x,K(y,x \ z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(8052(a,1),7649(a,1,1))]. 10502 T(x,K(y,z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. [para(8078(a,1),10501(a,1,1))]. 10503 T(x,K(y,z)) / (z * T(z \ x,y)) = (x * K(y,(z / x) \ 1)) / x. [para(5547(a,1),10502(a,2,1,2))]. 10504 T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,T((z / x) \ 1,x)). [hyper(198,a,7822,a(flip),b,10503,a)]. 10505 T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,(x \ z) \ 1). [hyper(198,a,7154,a(flip),b,10504,a)]. 10506 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3738(a,1),7675(a,1,1))]. 10507 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(131(a,1),8205(a,1,1))]. 10509 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7384(a,1),10507(a,1,2))]. 10510 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(10293(a,1),10509(a,1,2)),flip(a)]. 10511 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(198,a,11,a(flip),b,10510,a)]. 10512 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5311,a,10511,a)]. 10513 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(8851(a,1),10512(a,1,1))]. 10514 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(8049(a,1),8378(a,2,1))]. 10515 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(8037(a,2),10514(a,2,2))]. 10516 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(198,a,6504,a,b,10515,a(flip)),flip(a)]. 10517 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(5625,a,10516,a)]. 10519 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [hyper(198,a,8946,a(flip),b,9267,a)]. 10520 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [para(105(a,1),10519(a,1,2,1,1,1)),flip(a)]. 10521 (T(x,y) * (y / x)) * K(x \ y,x) = (x \ y) * ((x \ T(y,x)) \ y). [para(8983(a,1),9968(a,1,2))]. 10522 (x \ y) * ((x \ T(y,x)) \ y) = (y / x) * T(x,y). [hyper(198,a,7144,a(flip),b,10521,a(flip))]. 10524 (x \ y) * ((x \ T(y,x)) \ y) = (x * y) / x. [hyper(198,a,1298,a(flip),b,10522,a)]. 10525 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(18,a,4742,a(flip),b,10365,a)]. 10526 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(60(a,1),10456(a,1,1,2)),flip(a)]. 10527 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3855(a,1),10494(a,1,1)),flip(a)]. 10528 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(10527(a,1),6334(a,1,1)),flip(a)]. 10529 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(198,a,5322,a(flip),b,10528,a)]. 10530 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(198,a,8166,a(flip),b,10529,a(flip)),flip(a)]. 10531 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4941(a,1),10506(a,2,1))]. 10532 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(8663(a,1),10531(a,1,1))]. 10533 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(198,a,7615,a,b,10532,a),flip(a)]. 10534 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9718,a,10533,a)]. 10535 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3665(a,1),4748(a,1,2))]. 10536 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4628(a,1),4749(a,1,2)),flip(a)]. 10537 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(198,a,28,a,b,10536,a)]. 10540 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1376(a,1),10537(a,1,2)),flip(a)]. 10541 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1379(a,1),10537(a,1,2)),flip(a)]. 10542 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2597(a,2),10537(a,1,2))]. 10543 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2697(a,1),10537(a,1,2)),flip(a)]. 10544 L(x,y / ((z \ 1) \ 1),u) = L(x,y / z,u). [para(2749(a,1),10537(a,1,2))]. 10545 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3163(a,1),10537(a,1,2))]. 10546 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3386(a,1),10537(a,1,2))]. 10547 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(8396(a,1),10537(a,1,2))]. 10550 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(10541(a,1),92(a,1,2))]. 10551 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6167(a,1),10542(a,1,2))]. 10552 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(8544(a,1),10543(a,1,2,2)),flip(a)]. 10553 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(198,a,10455,a,b,10546,a(flip)),flip(a)]. 10554 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(10550(a,1),19(a,1)),flip(a)]. 10555 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6984(a,1),10552(a,1,2,2)),flip(a)]. 10556 K(x,x * y) \ (L(K(x,x * y),z,u) * T(x,y)) = L(K(x * y,x),z,u) \ R(x,y,x). [hyper(198,a,6102,a,b,5439,a)]. 10557 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5498,a,5875,a),flip(a)]. 10559 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(198,a,5704,a(flip),b,10557,a)]. 10560 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5498,a,10559,a)]. 10561 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(5828,a,10560,a)]. 10563 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(7586,a,10561,a)]. 10564 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(198,a,5754,a(flip),b,10563,a(flip)),flip(a)]. 10565 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(141(a,1),10563(a,1,1,2)),flip(a)]. 10566 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(198,a,9388,a(flip),b,10565,a)]. 10567 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(10565(a,2),6486(a,1))]. 10568 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1269(a,1),6044(a,1,2))]. 10569 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(13(a,1),10568(a,1,2,1,2,1))]. 10570 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(198,a,8165,a(flip),b,10569,a)]. 10571 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(198,a,8572,a(flip),b,10570,a(flip)),flip(a)]. 10572 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(198,a,7840,a(flip),b,10571,a)]. 10573 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(10571(a,2),8616(a,1))]. 10575 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),10572(a,1,2))]. 10577 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3740(a,1),10575(a,2,2))]. 10578 R(K(x,y \ z),z,u) != w | K(x,R(y \ z,y,u)) = w. [para(14(a,1),10573(a,1,2))]. 10579 R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. [para(9167(a,1),10573(a,1,1))]. 10580 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(198,a,5344,a(flip),b,6900,a(flip))]. 10582 K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). [hyper(198,a,6899,a(flip),b,10580,a(flip)),flip(a)]. 10583 K(x,y / L(x,z \ 1,z)) = K(x,x \ y). [para(168(a,1),10582(a,1,2,2))]. 10584 K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). [hyper(198,a,7236,a(flip),b,10583,a(flip)),flip(a)]. 10585 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(405(a,1),10584(a,1,2,1)),flip(a)]. 10586 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(10585(a,1),6364(a,1,2))]. 10587 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(198,a,4523,a(flip),b,7412,a(flip)),flip(a)]. 10589 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(10105(a,1),7441(a,1,1)),flip(a)]. 10590 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7177(a,1),10589(a,1,2,2))]. 10592 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(198,a,40,a,b,10590,a)]. 10593 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5236(a,1),10592(a,1,2))]. 10594 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8301(a,2),10593(a,1,2))]. 10595 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(10481,a,10594,a)]. 10596 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(3114(a,1),8023(a,1,2,1)),flip(a)]. 10597 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3114(a,1),10596(a,1,2)),flip(a)]. 10599 (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(10597(a,1),567(a,1,1,1)),flip(a)]. 10601 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9548(a,1),8345(a,1,2))]. 10602 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7715(a,1),10601(a,1,2))]. 10604 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8098(a,1),10602(a,2,1))]. 10605 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(198,a,10236,a(flip),b,10604,a(flip)),flip(a)]. 10606 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10140,a,10605,a)]. 10607 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10485(a,1),8701(a,1,1)),flip(a)]. 10608 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(198,a,9898,a(flip),b,10607,a(flip))]. 10610 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7461,a,10608,a)]. 10612 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(10009(a,1),10610(a,1,1))]. 10613 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(7577,a,8793,a),flip(a)]. 10614 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(198,a,8822,a(flip),b,8825,a)]. 10615 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [hyper(198,a,6361,a(flip),b,10614,a)]. 10617 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(198,a,10354,a(flip),b,10615,a(flip))]. 10619 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(198,a,9047,a(flip),b,10617,a(flip))]. 10621 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(198,a,9078,a(flip),b,10619,a)]. 10622 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(9302,a,10621,a)]. 10623 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(198,a,9403,a(flip),b,10622,a(flip)),flip(a)]. 10624 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(198,a,9371,a(flip),b,10623,a)]. 10625 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(10624(a,1),5483(a,1,2,1,2))]. 10626 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5755,a,10625,a),flip(a)]. 10627 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2887(a,1),10626(a,1,1,1))]. 10628 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(198,a,5801,a(flip),b,10627,a(flip)),flip(a)]. 10629 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(198,a,8829,a(flip),b,10628,a)]. 10630 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(198,a,9048,a(flip),b,10629,a(flip))]. 10631 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(8249,a,10630,a),flip(a)]. 10632 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(198,a,6773,a(flip),b,10631,a)]. 10633 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),10632(a,1,1,1)),flip(a)]. 10634 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),10633(a,1,1,1)),flip(a)]. 10635 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3502,a,10634,a)]. 10636 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(10567,a,10635,a)]. 10637 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(2929(a,2),10636(a,1,1,2))]. 10638 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(198,a,10564,a(flip),b,10637,a(flip)),flip(a)]. 10640 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(198,a,10566,a(flip),b,10638,a(flip)),flip(a)]. 10642 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(7787(a,1),8899(a,1,2))]. 10643 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(198,a,9294,a(flip),b,10642,a)]. 10645 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(8099(a,1),8919(a,1,1)),flip(a)]. 10646 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(5143(a,1),10645(a,2,2))]. 10647 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),8923(a,1,2,1))]. 10649 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),10647(a,1,2))]. 10650 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(8743,a,10649,a)]. 10651 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(198,a,7042,a(flip),b,10650,a)]. 10654 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),10651(a,2,2,2))]. 10655 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(16(a,1),10651(a,1,1,2)),flip(a)]. 10656 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(198,a,10422,a(flip),b,10654,a(flip))]. 10657 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4232(a,1),10654(a,1,1,2))]. 10658 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(198,a,6660,a(flip),b,10656,a(flip)),flip(a)]. 10660 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(10655(a,1),9165(a,1,2,1))]. 10662 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(4891(a,1),10660(a,1,2))]. 10663 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7074,a,10657,a)]. 10665 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [hyper(65,a,106,a(flip),b,9035,a)]. 10666 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9947,a,10665,a)]. 10667 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(198,a,9976,a(flip),b,10666,a(flip)),flip(a)]. 10668 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),10667(a,1,2,1)),flip(a)]. 10669 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(198,a,9509,a(flip),b,10668,a)]. 10670 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(144(a,1),10669(a,1,2)),flip(a)]. 10671 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10669(a,1),9035(a,1,2))]. 10672 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(8223,a,10671,a),flip(a)]. 10673 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(66,a,10672,a(flip),b,106,a(flip))]. 10675 ((x / y) * (z * y)) / (y * z) = x / T(y,z). [hyper(198,a,7391,a(flip),b,10673,a)]. 10676 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(198,a,270,a(flip),b,10673,a(flip))]. 10678 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(14(a,1),10676(a,1,1,2))]. 10679 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),10676(a,1,1,2))]. 10681 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10676(a,1),9159(a,1,2))]. 10682 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(10676(a,1),9188(a,1,1))]. 10683 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(10678(a,1),9225(a,1,2,2))]. 10684 (x / y) * K(z \ y,z) = x / (z * (y / z)). [para(5148(a,1),10679(a,1,2))]. 10696 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(198,a,3509,a(flip),b,9588,a)]. 10697 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(578(a,1),10696(a,1,2))]. 10698 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6494,a,10697,a),flip(a)]. 10699 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(198,a,9088,a(flip),b,10698,a)]. 10700 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [hyper(198,a,9566,a(flip),b,9687,a(flip)),flip(a)]. 10701 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(6920(a,1),9940(a,1,2))]. 10702 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(198,a,8851,a(flip),b,10701,a(flip)),flip(a)]. 10703 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(106(a,1),10251(a,1,1))]. 10704 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10447(a,1),10452(a,1,2,1))]. 10705 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5245(a,1),10704(a,1,2))]. 10707 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(7094(a,2),10513(a,1,2,2,1))]. 10708 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(198,a,4575,a(flip),b,10535,a(flip)),flip(a)]. 10709 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(198,a,9891,a(flip),b,10613,a)]. 10711 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(198,a,7830,a(flip),b,10709,a)]. 10712 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(5281(a,1),10707(a,1,2))]. 10713 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3750(a,1),10708(a,1,2))]. 10714 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5424,a,10713,a),flip(a)]. 10716 R(x,1 / y,z) = R(x,y \ 1,z). [para(683(a,1),10714(a,1,2)),flip(a)]. 10717 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1376(a,1),10714(a,1,2)),flip(a)]. 10718 R(x,((y \ 1) \ 1) \ z,u) = R(x,y \ z,u). [para(2841(a,1),10714(a,1,2))]. 10721 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(10716(a,1),3580(a,1,2))]. 10722 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(10717(a,1),102(a,1,1))]. 10723 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(10722(a,1),20(a,1))]. 10724 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2884(a,1),10721(a,1,2,1))]. 10725 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4012(a,1),10724(a,1,2,1)),flip(a)]. 10726 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(10712(a,1),20(a,1)),flip(a)]. 10727 (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(1112(a,1),4317(a,1,1))]. 10728 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1133(a,1),10727(a,1,2))]. 10729 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(620,a,10728,a),flip(a)]. 10731 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(198,a,4440,a,b,10729,a(flip)),flip(a)]. 10732 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4076(a,1),10731(a,1,1))]. 10733 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(198,a,10289,a(flip),b,10732,a(flip)),flip(a)]. 10734 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4441,a,10733,a)]. 10735 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10734(a,1),10290(a,2,1))]. 10736 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(198,a,10230,a(flip),b,10735,a(flip)),flip(a)]. 10743 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(8304(a,1),6030(a,1,1)),flip(a)]. 10744 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(198,a,5457,a,b,10743,a)]. 10745 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(198,a,5457,a,b,10744,a(flip)),flip(a)]. 10746 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10745(a,1),5071(a,2,2))]. 10747 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(6034(a,1),10746(a,2,2))]. 10748 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(6033(a,1),10747(a,2,2))]. 10749 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(198,a,2188,a(flip),b,10748,a)]. 10750 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(57(a,1),10749(a,1,1))]. 10751 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(57(a,1),10750(a,1,2,1)),flip(a)]. 10752 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5397(a,1),10751(a,1,1))]. 10753 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(10752(a,2),2116(a,1,2))]. 10754 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5903(a,1),6728(a,1,1,2))]. 10755 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(198,a,602,a(flip),b,10754,a)]. 10757 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(10755(a,1),16(a,1,1))]. 10759 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(8912,a,10757,a),flip(a)]. 10760 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(5311,a,10757,a)]. 10761 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7715(a,2),10757(a,1,1))]. 10762 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(10759(a,1),4677(a,1,1,2,1)),flip(a)]. 10763 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5291(a,1),10760(a,1,2,2)),flip(a)]. 10764 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(198,a,7789,a,b,10763,a(flip)),flip(a)]. 10765 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5291(a,1),10763(a,2,2))]. 10766 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6603(a,1),10763(a,1,2,1)),flip(a)]. 10767 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(7776(a,1),10763(a,2,2))]. 10768 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5311,a,10765,a)]. 10769 (((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(10768(a,1),1594(a,1,1,1,1))]. 10770 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7715(a,2),10761(a,2,2,1))]. 10771 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(7954(a,1),10764(a,1,1))]. 10772 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(198,a,8275,a(flip),b,10767,a(flip)),flip(a)]. 10773 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6701,a,10772,a),flip(a)]. 10774 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(198,a,7945,a(flip),b,10773,a)]. 10775 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(10774(a,2),19(a,1))]. 10776 (x \ y) * K(x,T(x \ y,z)) = T(y / x,K(x,z)). [para(4941(a,1),10774(a,1,1)),flip(a)]. 10777 K(x \ y,T(x,z)) \ (x \ y) = T(y / x,K(x,z)). [hyper(8217,a,10776,a)]. 10778 K(x \ y,T(x,z)) \ (x \ y) = T(y,K(x,z)) / x. [hyper(198,a,7567,a,b,10777,a)]. 10779 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(267,a,10770,a),flip(a)]. 10780 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(198,a,8646,a(flip),b,10771,a(flip))]. 10781 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7715(a,2),10779(a,1,2,1))]. 10782 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(8664(a,1),10780(a,2,2))]. 10783 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(5311,a,10782,a)]. 10784 K(x * y,x) * (K(x,y) * z) != a(x,y,x) * u | T(z,a(x,y,x)) = u. [para(10782(a,2),151(a,2)),flip(a)]. 10785 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(8871(a,1),10783(a,1,2)),flip(a)]. 10786 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6603(a,1),10766(a,1,1))]. 10787 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. [hyper(198,a,10169,a(flip),b,10786,a(flip))]. 10788 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(198,a,10157,a(flip),b,10787,a(flip))]. 10789 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(507,a,10788,a)]. 10790 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(198,a,10146,a,b,10788,a)]. 10792 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(10789(a,1),73(a,1,1)),flip(b)]. 10793 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(10792,a,10176,a)]. 10794 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10790(a,2),19(a,1))]. 10795 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(198,a,10194,a(flip),b,8757,a)]. 10797 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(198,a,6455,a(flip),b,10795,a)]. 10798 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6325(a,1),10797(a,1,2,2))]. 10799 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(7554(a,1),8810(a,2,1))]. 10800 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(198,a,8891,a(flip),b,9774,a)]. 10801 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8552(a,1),10800(a,1,2,1,2,1))]. 10802 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9888,a,10082,a),flip(a)]. 10803 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(6386,a,10802,a)]. 10804 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(10018,a,10803,a)]. 10805 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(350(a,1),10804(a,1,2,1,2))]. 10806 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(198,a,9999,a(flip),b,10805,a(flip))]. 10807 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(10083,a,10806,a)]. 10808 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(198,a,9440,a,b,10806,a(flip)),flip(a)]. 10809 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(12(a,1),10806(a,2,2,1))]. 10810 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4939(a,1),10806(a,1,2,1)),flip(a)]. 10811 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10806(a,1),9492(a,1,2,2))]. 10812 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10806(a,1),9493(a,1,1))]. 10813 K(x,(y * z) \ (u * x)) != w | K(x,(y * (z / x)) \ u) = w. [para(10806(a,1),10083(a,1))]. 10814 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(198,a,9647,a,b,10809,a(flip)),flip(a)]. 10815 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(198,a,10012,a(flip),b,10814,a(flip))]. 10817 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(8617,a,10815,a)]. 10818 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(198,a,9517,a(flip),b,10817,a(flip))]. 10820 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(198,a,7843,a(flip),b,10818,a(flip))]. 10821 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5406(a,2),10810(a,1,2,1,1))]. 10822 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5401,a,10811,a),flip(a)]. 10823 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(9840,a,10822,a)]. 10824 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10822(a,1),9840(a,1))]. 10825 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(12(a,1),10823(a,2,1,1))]. 10826 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(198,a,7506,a,b,10825,a(flip)),flip(a)]. 10827 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(198,a,7505,a,b,10825,a(flip)),flip(a)]. 10828 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10827(a,1),10144(a,1,2))]. 10829 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10828(a,1),5315(a,1,2))]. 10830 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(10163,a,10829,a)]. 10831 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(14(a,1),10830(a,2,2,2,1))]. 10832 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5504(a,2),10830(a,1,1))]. 10833 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(384(a,1),10832(a,2,2))]. 10834 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(198,a,7548,a(flip),b,10833,a)]. 10836 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(198,a,3101,a(flip),b,10820,a)]. 10837 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8728,a,10836,a)]. 10838 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(198,a,10575,a,b,10837,a),flip(a)]. 10839 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(198,a,5786,a,b,10821,a(flip)),flip(a)]. 10840 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(198,a,10808,a(flip),b,10812,a(flip))]. 10841 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(198,a,9495,a(flip),b,10840,a(flip)),flip(a)]. 10842 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(7043(a,1),10838(a,1,1))]. 10843 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(14(a,1),10842(a,2,2,1,2,1))]. 10844 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(198,a,5691,a,b,10843,a),flip(a)]. 10846 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(198,a,7634,a,b,10841,a(flip))]. 10847 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(198,a,9728,a(flip),b,10846,a)]. 10848 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),10847(a,1,2,1)),flip(a)]. 10849 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(198,a,7154,a(flip),b,10848,a(flip))]. 10850 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(198,a,6455,a(flip),b,10849,a)]. 10851 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5179,a,10850,a),flip(a)]. 10852 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(198,a,9439,a(flip),b,10850,a(flip))]. 10853 K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. [para(10850(a,1),5179(a,1))]. 10854 K(x,x \ (y * (x * z))) = K(x,y * z). [para(13(a,1),10851(a,2,2,2))]. 10855 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10851(a,1),7385(a,1,1,2))]. 10856 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(198,a,9481,a,b,10852,a(flip)),flip(a)]. 10857 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(198,a,9437,a,b,10854,a(flip)),flip(a)]. 10858 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(1180(a,2),10857(a,1,2,2,2))]. 10859 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10857(a,1),7767(a,1,2)),flip(a)]. 10861 L(K(x,x \ y),y,z) = K(x,x \ y). [para(13(a,1),10856(a,1,3))]. 10863 a(x,y,K(z,z \ y)) = 1. [hyper(34,a,10861,a)]. 10864 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(198,a,9423,a(flip),b,10861,a(flip)),flip(a)]. 10865 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(198,a,9422,a(flip),b,10861,a(flip)),flip(a)]. 10866 K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). [hyper(198,a,6617,a(flip),b,10861,a(flip))]. 10867 a(x,y,K(z \ y,z)) = 1. [para(5120(a,1),10863(a,1,3))]. 10868 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(33,a,10867,a)]. 10869 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(9398,a,10868,a)]. 10872 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10864(a,1),8270(a,1,2))]. 10874 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(198,a,9979,a(flip),b,10865,a(flip))]. 10875 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(13(a,1),10865(a,1,2,2)),flip(a)]. 10876 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(14(a,1),10869(a,1,1,2,2))]. 10877 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10869(a,1),9486(a,1,2))]. 10881 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(198,a,8795,a(flip),b,10876,a(flip))]. 10885 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(4615(a,1),10881(a,1,1,2,1))]. 10886 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(9270(a,1),10859(a,1,2)),flip(a)]. 10889 R(x,y,K(z \ y,z)) = x. [hyper(728,a,10877,a)]. 10891 R(x,y / z,z) = R(x,z \ y,z). [hyper(198,a,10500,a(flip),b,10889,a(flip))]. 10892 R(x,y * z,K(z,y)) = x. [para(13(a,1),10889(a,1,3,1))]. 10893 R(x,y,T(z,y)) = R(x,y,z). [hyper(6893,a,10892,a)]. 10894 (x * (y * z)) * K(z,y) = x * (z * y). [para(10892(a,1),433(a,1,1)),flip(a)]. 10895 K(x,R(y \ z,y,T(u,z))) = R(K(x,y \ z),z,u). [hyper(10578,a,10893,a)]. 10901 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(10893(a,1),431(a,1,1))]. 10902 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7094(a,2),10893(a,1,3))]. 10903 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10893(a,1),10211(a,2,2))]. 10906 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(198,a,6938,a(flip),b,10891,a(flip))]. 10909 K(x,L(y,x,z)) = K(x,y). [hyper(8224,a,10894,a)]. 10910 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(7032(a,1),10894(a,2,2))]. 10911 K(L(x,y,z),y) = K(x,y). [hyper(8744,a,10909,a)]. 10912 L(K(x,y),x * y,z) = K(x,y). [hyper(6624,a,10909,a)]. 10915 L(K(x,y),z,y * x) = K(x,y). [hyper(198,a,10670,a(flip),b,10909,a(flip)),flip(a)]. 10916 T(x,L(y,x,z)) = x * K(x,y). [para(10909(a,1),4924(a,2,2))]. 10920 K(L(x,y,z),y) = (u * T(y,x)) \ (u * y). [hyper(198,a,7423,a,b,10911,a)]. 10922 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(415(a,1),10911(a,1,1))]. 10923 K(L(x,y / z,u),y / z) != w | K(x,(z / y) \ 1) = w. [para(10911(a,2),5495(a,1))]. 10926 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10915(a,1),10094(a,1,1))]. 10927 T(x,L(y,x,z)) = T(x,y). [hyper(198,a,4924,a,b,10916,a)]. 10930 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(198,a,9258,a(flip),b,10927,a(flip)),flip(a)]. 10931 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10927(a,1),106(a,1,2))]. 10932 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(415(a,1),10927(a,1,2))]. 10933 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10927(a,1),10006(a,1,1,2)),flip(a)]. 10936 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10931(a,1),1183(a,1,2,2))]. 10937 L(x,T(y,x),z) = L(x,y,z). [hyper(198,a,28,a,b,10933,a),flip(a)]. 10939 L(x,y / x,z) = L(x,x \ y,z). [para(108(a,1),10937(a,1,2)),flip(a)]. 10943 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(10939(a,1),6608(a,1,2))]. 10944 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10939(a,1),6651(a,1,1))]. 10946 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(13(a,1),10943(a,1,2,2)),flip(a)]. 10947 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(60(a,1),10943(a,1,2,2)),flip(a)]. 10948 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(6331,a,10946,a),flip(a)]. 10950 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(10946(a,1),92(a,1,2))]. 10951 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(10947(a,1),8522(a,1,2)),flip(a)]. 10952 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(7398,a,10855,a),flip(a)]. 10953 K(x \ (y * (x * z)),x) = K(y * z,x). [para(13(a,1),10952(a,2,1,2))]. 10954 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(14(a,1),10952(a,1,1,2)),flip(a)]. 10955 K(x \ (y * (L(x,z,u) \ (w * x))),x) = K(y * (L(x,z,u) \ T(w,x)),x). [para(1190(a,1),10952(a,2,1,2))]. 10956 K((x \ y) \ 1,(y \ x) \ z) = K(y \ x,x \ (y * z)). [hyper(6382,a,10866,a)]. 10957 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(4615(a,1),10874(a,1,2,2,1,2))]. 10958 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10874(a,1),6605(a,1,1)),flip(a)]. 10959 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(10926(a,2),226(a,1,2))]. 10961 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [para(8726(a,1),10906(a,1,1))]. 10962 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(412(a,1),10951(a,1,2,2)),flip(a)]. 10963 x \ (y * (((y \ x) \ z) \ z)) = K(y \ x,x \ (y * z)). [hyper(198,a,5721,a(flip),b,10956,a(flip)),flip(a)]. 10964 T((x * (((x \ y) \ z) \ z)) / y,u) = (y * T(K(x \ y,y \ (x * z)),u)) / y. [para(10963(a,1),365(a,1,1,2,1)),flip(a)]. 10965 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(4620,a,10950,a),flip(a)]. 10966 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(8776(a,1),10950(a,2,2))]. 10967 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(10965(a,1),5883(a,1,1)),flip(a)]. 10968 K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). [hyper(198,a,5883,a(flip),b,10967,a)]. 10969 L(x,K(y,z),z * y) != u | L(x,z * y,K(y,z)) = u. [para(10959(a,1),5059(a,1))]. 10970 (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(4711(a,2),10966(a,2,2))]. 10971 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(198,a,10207,a(flip),b,10903,a)]. 10972 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(9640,a,10971,a)]. 10973 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(40(a,2),10972(a,1,3))]. 10974 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(198,a,2386,a(flip),b,10973,a(flip)),flip(a)]. 10975 K(x \ (y * (L(x,z,u) \ (w * x))),x) = K(y * (L(x,z,u) \ w),x). [hyper(198,a,9272,a(flip),b,10955,a)]. 10976 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(10958(a,2),8741(a,1))]. 10977 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(198,a,8657,a(flip),b,10974,a(flip)),flip(a)]. 10978 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10328,a,10922,a)]. 10979 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(198,a,40,a,b,10932,a(flip)),flip(a)]. 10980 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9994(a,1),10979(a,1,1))]. 10981 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10930(a,1),10980(a,1,1)),flip(a)]. 10982 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10981(a,1),5230(a,1,2,1))]. 10984 T((x * (((x \ y) \ z) \ z)) / y,u) = (y * K(x \ y,T(y \ (x * z),u))) / y. [para(7094(a,2),10964(a,2,1,2))]. 10985 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(198,a,5372,a(flip),b,10982,a(flip))]. 10986 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). [para(10985(a,1),8668(a,1,2)),flip(a)]. 10987 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(106(a,1),10936(a,1,1,1))]. 10988 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1545,a,10987,a),flip(a)]. 10989 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(106(a,1),10988(a,1,2))]. 10990 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(9321,a,10989,a),flip(a)]. 10992 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10990(a,1),6605(a,1,1))]. 10993 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(8741,a,10992,a),flip(a)]. 10994 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10993(a,1),10834(a,1,1))]. 10995 L(K(x,x * y),y,z) = K(x,x * y). [para(8588(a,1),10994(a,1,1))]. 10997 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(198,a,10831,a(flip),b,10995,a(flip)),flip(a)]. 10998 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10995(a,2),5129(a,1,2))]. 11000 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(10813,a,10997,a)]. 11001 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(6641,a,10997,a)]. 11003 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(198,a,9428,a(flip),b,10997,a(flip)),flip(a)]. 11004 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1180(a,1),10997(a,1,2))]. 11005 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10997(a,1),6605(a,1,1))]. 11006 K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. [para(10997(a,1),6629(a,1))]. 11007 L(K(x * y,x),y,z) = K(x * y,x). [hyper(5924,a,10998,a)]. 11008 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(8486(a,2),10998(a,1,2))]. 11009 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(198,a,10826,a(flip),b,11007,a(flip)),flip(a)]. 11010 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10824,a,11009,a)]. 11013 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(7609,a,11009,a)]. 11015 K(x \ (y * z),y) = K(y * (x \ z),y). [hyper(198,a,9377,a(flip),b,11009,a(flip)),flip(a)]. 11016 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(11009(a,1),5694(a,1,1,1,2))]. 11017 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(11009(a,1),9375(a,1))]. 11018 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(11010(a,1),5695(a,1,1,1,2))]. 11019 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(198,a,7809,a,b,11008,a),flip(a)]. 11020 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(8741,a,11005,a),flip(a)]. 11021 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9924,a,11020,a)]. 11022 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(198,a,10798,a(flip),b,11021,a(flip))]. 11023 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(7769(a,2),11019(a,1,1))]. 11024 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(5697,a,11016,a),flip(a)]. 11025 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(198,a,8235,a,b,11024,a(flip)),flip(a)]. 11026 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(198,a,7353,a(flip),b,11023,a(flip))]. 11028 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(198,a,10977,a(flip),b,10986,a)]. 11029 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). [para(32(a,2),10986(a,2,2,2))]. 11030 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(7464,a,11018,a),flip(a)]. 11032 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4231(a,1),10116(a,1,2))]. 11033 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(198,a,5651,a(flip),b,11032,a)]. 11034 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7048(a,1),11033(a,1,1,1,1))]. 11035 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6979(a,1),11034(a,1,1))]. 11037 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9015(a,1),11035(a,1,1))]. 11038 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(14(a,1),10586(a,1,2,2,1))]. 11039 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6380,a,11038,a),flip(a)]. 11040 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(11039(a,1),10068(a,1,2))]. 11041 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(107(a,1),11040(a,1,2,2))]. 11042 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(198,a,6466,a(flip),b,11041,a(flip))]. 11043 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(198,a,9860,a(flip),b,10753,a(flip)),flip(a)]. 11044 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2741(a,2),11043(a,2,1))]. 11046 T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | (x / ((x \ y) \ 1)) / x = z. [para(11044(a,2),189(a,1)),flip(b)]. 11048 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(198,a,7384,a(flip),b,10799,a)]. 11049 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(6041(a,1),10910(a,1,1,2))]. 11050 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(7554(a,1),11048(a,1,1,1))]. 11051 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(9265(a,1),11049(a,1,2))]. 11052 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(7711(a,1),11051(a,1,2))]. 11054 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(11052(a,1),9224(a,1,2,2))]. 11055 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(198,a,9340,a(flip),b,11054,a(flip))]. 11057 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(198,a,9339,a(flip),b,11055,a)]. 11059 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(1863(a,2),11050(a,1,1))]. 11060 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(2979(a,1),11059(a,1,1,1,1,2))]. 11061 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(8953(a,1),11060(a,1,1,1))]. 11062 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(775,a,11061,a),flip(a)]. 11064 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(2986(a,2),11062(a,1,1,2))]. 11065 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(8488,a,11064,a)]. 11066 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(198,a,6642,a(flip),b,11065,a(flip)),flip(a)]. 11067 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(198,a,6617,a(flip),b,11065,a(flip))]. 11068 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(198,a,9237,a,b,11066,a(flip)),flip(a)]. 11069 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(198,a,6000,a(flip),b,4337,a(flip))]. 11070 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(198,a,5712,a(flip),b,11069,a(flip))]. 11072 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(198,a,7972,a(flip),b,11070,a(flip)),flip(a)]. 11073 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(198,a,5712,a(flip),b,11070,a(flip))]. 11075 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3643(a,1),4642(a,1,1,2))]. 11076 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(396(a,1),5545(a,1,2))]. 11077 K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. [para(160(a,1),11076(a,1,2,2))]. 11078 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(4897(a,1),11077(a,1,2,2))]. 11079 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(11078(a,1),255(a,1,1)),flip(b)]. 11080 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1106(a,1),11078(a,1,1,2))]. 11081 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * u) / (x * (y \ u)))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(11078(a,1),409(a,1,1)),flip(a)]. 11082 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(11078(a,1),5296(a,1,2))]. 11083 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(11078(a,1),8976(a,1,2)),flip(a)]. 11085 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(11078(a,1),9411(a,1,2,1)),flip(a)]. 11086 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(11078(a,1),9413(a,1,2,2)),flip(a)]. 11087 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(11078(a,1),9761(a,1,2,2,1)),flip(a)]. 11089 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(394(a,1),11086(a,1,2))]. 11090 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5311,a,11080,a),flip(a)]. 11091 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5291(a,1),11080(a,1,2,2)),flip(a)]. 11092 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(7819(a,1),11080(a,1,1))]. 11093 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(7224(a,1),11083(a,1,2,2))]. 11094 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(65,a,52,a(flip),b,11090,a),flip(a)]. 11095 (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(65,a,11094,a,b,1505,a)]. 11097 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6129,a,11091,a)]. 11098 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(8459(a,1),11091(a,2,2))]. 11099 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(11097(a,1),8283(a,1,1,2)),flip(a)]. 11100 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(198,a,7385,a(flip),b,11099,a)]. 11101 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(198,a,6939,a(flip),b,11100,a(flip)),flip(a)]. 11102 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(10579,a,11093,a),flip(a)]. 11103 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(10573,a,11102,a),flip(a)]. 11105 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(198,a,9180,a,b,11103,a(flip)),flip(a)]. 11106 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(7377(a,1),11103(a,1,2,1)),flip(a)]. 11108 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(198,a,9326,a(flip),b,11105,a(flip)),flip(a)]. 11110 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(198,a,9325,a(flip),b,11108,a(flip)),flip(a)]. 11111 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(v5,x) * u,w)). [hyper(198,a,11103,a,b,11110,a),flip(a)]. 11113 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5291(a,1),11110(a,1,2,2)),flip(a)]. 11114 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(11110(a,1),7385(a,1,1,2)),flip(a)]. 11115 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(471(a,1),11113(a,1,2)),flip(a)]. 11116 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(v5,x) * u,w)). [hyper(198,a,7618,a,b,11111,a(flip)),flip(a)]. 11117 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(198,a,7385,a(flip),b,11114,a)]. 11118 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(11117(a,1),5046(a,2,2,2))]. 11120 T(x,R(K(y,x) * z,u,w)) = x * K(x,R(z,K(v5,x) * u,w)). [para(11116(a,1),4924(a,2,2))]. 11121 T(x,R(y,K(z,x) * u,w)) = T(x,R(y,u,w)). [hyper(198,a,5046,a,b,11118,a)]. 11123 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(v5,x) * u,w)). [hyper(198,a,4924,a,b,11120,a)]. 11124 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(v5,x) * u,w)). [para(5245(a,1),11123(a,1,2,1))]. 11125 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(198,a,11121,a(flip),b,11124,a)]. 11126 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5428,a,11125,a)]. 11127 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5245(a,1),11098(a,1,2)),flip(a)]. 11128 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(8910(a,2),11082(a,1))]. 11129 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(11128,a,9918,a)]. 11130 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(11079,a,11129,a(flip)),flip(a)]. 11131 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(198,a,6169,a(flip),b,11130,a(flip))]. 11132 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(198,a,10095,a(flip),b,11131,a)]. 11133 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [para(11131(a,2),16(a,1,1))]. 11135 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(11133(a,1),9063(a,1,2))]. 11136 K((x * (K(y,z) * u)) / w,y) = K((x * u) / w,y). [para(11133(a,1),9512(a,1,1,1))]. 11137 K(x / (y * (K(z,u) * w)),z) = K(x / (y * w),z). [para(11133(a,1),9522(a,1,1,2))]. 11138 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8177(a,1),11135(a,1,2,2))]. 11139 K((x * (K(y,z) * u)) / ((w \ x) * u),y) = R(K(w,y),x,K(y,z) * u). [hyper(198,a,6750,a(flip),b,11137,a(flip))]. 11140 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(5762(a,1),11138(a,1,2,2)),flip(a)]. 11141 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(11140(a,1),11072(a,1,1))]. 11142 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(7575,a,11141,a)]. 11143 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(8606,a,11142,a),flip(a)]. 11145 R(K(x,y),z,K(y,u) * w) = K((z * w) / ((x \ z) * w),y). [hyper(198,a,11136,a(flip),b,11139,a(flip))]. 11147 R(K(x,y),z,K(y,u) * w) = R(K(x,y),z,w). [hyper(198,a,6750,a(flip),b,11145,a)]. 11148 R(K(x,y),z,K(x,u) * w) = (v5 * R(K(y,x),z,w)) \ v5. [para(11147(a,1),8283(a,1,1,2)),flip(a)]. 11149 R(K(x,y),z,K(x,u) * w) = R(K(x,y),z,w). [hyper(198,a,8283,a(flip),b,11148,a)]. 11150 R(K(x,y),z,(x \ u) * x) = R(K(x,y),z,u). [para(5053(a,1),11149(a,1,3)),flip(a)]. 11151 R(K(x,y),z,u * K(w,x)) = R(K(x,y),z,u). [para(7855(a,1),11149(a,1,3)),flip(a)]. 11152 R(K(x,y),z,T((x \ u) * x,w)) = R(K(x,y),z,T(u,w)). [para(4681(a,2),11150(a,1,3))]. 11153 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = (R(K(y,w),u,z) * (u * z)) \ ((K(y,w) * u) * (z * K(x,y))). [para(11151(a,1),1153(a,1,1,1)),flip(a)]. 11154 R(K(x,x \ y),T(z,u),T(y,z)) = L(K(x,x \ y),T(z,u),(x \ y) * x). [hyper(198,a,10112,a(flip),b,11152,a(flip))]. 11155 L(K(x,x \ y),T(z,y),(x \ y) * x) = R(K(x,x \ y),z,y). [hyper(198,a,8228,a(flip),b,11154,a(flip))]. 11156 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7819(a,1),11092(a,1,2,2,1))]. 11158 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(198,a,7307,a(flip),b,11089,a(flip))]. 11160 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(198,a,11085,a(flip),b,11158,a(flip))]. 11162 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),11160(a,2,2))]. 11163 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(5281(a,2),11162(a,1,2,2))]. 11164 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5291(a,1),11162(a,1,2,2)),flip(a)]. 11165 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(11164(a,1),5285(a,1,2,2)),flip(a)]. 11166 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(198,a,5285,a(flip),b,11165,a)]. 11167 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4886(a,1),11166(a,1,1,2)),flip(a)]. 11168 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(198,a,10663,a(flip),b,11167,a(flip)),flip(a)]. 11169 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(7715(a,1),7502(a,1,2,2))]. 11170 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(1109(a,1),7598(a,1,2,2,1))]. 11171 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7715(a,1),7662(a,1,1,2))]. 11172 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9555(a,1),9693(a,1,1))]. 11173 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(9885,a,11172,a),flip(a)]. 11174 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2106(a,1),11173(a,1,2,1,2))]. 11175 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(198,a,10807,a(flip),b,11174,a(flip)),flip(a)]. 11176 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(198,a,10060,a(flip),b,11175,a(flip))]. 11177 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5655(a,1),11176(a,1,2,1)),flip(a)]. 11178 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(9941,a,10280,a)]. 11179 K(a(x,y,z),x) = 1. [hyper(6098,a,11178,a),flip(a)]. 11180 T(a(x,y,z),x) = a(x,y,z). [hyper(37,a,11179,a)]. 11181 T(x,a(x,y,z)) = x. [hyper(35,a,11180,a)]. 11182 a(x,y,z) * x = x * a(x,y,z). [para(11180(a,1),106(a,1,2)),flip(a)]. 11183 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3908(a,2),11180(a,1,1))]. 11185 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(11181(a,1),161(a,1,2,1)),flip(a)]. 11186 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(198,a,10793,a(flip),b,11182,a(flip))]. 11187 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(11185(a,1),1550(a,2,2,1,2)),flip(a)]. 11188 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(11186(a,1),10179(a,1,2,2))]. 11189 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(198,a,5656,a(flip),b,11188,a(flip)),flip(a)]. 11190 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(198,a,9838,a,b,11189,a(flip)),flip(a)]. 11191 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(5862(a,1),10178(a,1,2))]. 11192 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(5882(a,1),11191(a,2,3))]. 11193 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5607,a,10705,a)]. 11194 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3643(a,1),11075(a,1,2))]. 11195 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7094(a,2),11169(a,2,1,1))]. 11196 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6952(a,1),11170(a,1,2,2,1,2))]. 11197 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(4871(a,2),11196(a,1,2,2,1))]. 11198 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(7094(a,2),11197(a,1,2,2))]. 11199 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [hyper(1120,a,11198,a),flip(a)]. 11200 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [hyper(198,a,7331,a(flip),b,11199,a)]. 11201 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(198,a,8371,a(flip),b,11200,a(flip)),flip(a)]. 11202 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(8244,a,11201,a),flip(a)]. 11204 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(198,a,8673,a(flip),b,11202,a(flip)),flip(a)]. 11205 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(7830(a,1),11204(a,1,1))]. 11206 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(11204(a,1),8868(a,1,1))]. 11207 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(7141(a,1),11206(a,1,2))]. 11208 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(7207,a,11207,a)]. 11209 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(198,a,10553,a(flip),b,11208,a(flip)),flip(a)]. 11211 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(198,a,10545,a(flip),b,11209,a(flip)),flip(a)]. 11212 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(108(a,1),11211(a,1,2,1)),flip(a)]. 11213 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7908(a,1),11171(a,1,1,2))]. 11214 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5818(a,1),11213(a,1,1,2,2))]. 11215 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7733(a,1),11214(a,1,1,2))]. 11216 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(7709(a,1),11215(a,1,1,2)),flip(a)]. 11217 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(4408(a,1),11216(a,1,1,2)),flip(a)]. 11218 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(7948(a,1),11217(a,1,1)),flip(a)]. 11219 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(198,a,6168,a(flip),b,11218,a(flip))]. 11220 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8219,a,11193,a)]. 11221 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(198,a,4541,a(flip),b,11194,a(flip)),flip(a)]. 11222 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7181(a,1),11195(a,2,1))]. 11223 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(198,a,8637,a(flip),b,11222,a)]. 11225 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(6779(a,2),11223(a,1,1))]. 11226 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(9172(a,1),11225(a,1,2,2))]. 11227 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(12(a,1),11226(a,1,2))]. 11228 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5312,a,11227,a)]. 11229 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(6780(a,1),11228(a,1,1))]. 11230 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(198,a,9185,a(flip),b,11229,a)]. 11231 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(198,a,6906,a(flip),b,11230,a(flip)),flip(a)]. 11232 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11231(a,1),5846(a,1,1,1,2))]. 11233 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4924(a,2),11232(a,1,1,1))]. 11234 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(6073,a,11233,a)]. 11235 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11234(a,1),10643(a,1,1))]. 11236 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(10823(a,1),11235(a,1,1,2,2))]. 11237 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4645(a,1),11221(a,1,1))]. 11238 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),11237(a,1,1,1))]. 11239 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(7408,a,11238,a)]. 11241 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2583(a,1),11239(a,1,2))]. 11242 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6742(a,1),6873(a,1,2,2))]. 11243 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(8277,a,10133,a)]. 11244 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(8663(a,1),11243(a,1,3))]. 11245 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(11244(a,1),342(a,1,1)),flip(a)]. 11246 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(11245(a,1),8688(a,1,1))]. 11247 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(11246(a,1),1882(a,1,1)),flip(a)]. 11248 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(7284(a,1),8287(a,2,2))]. 11249 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3572(a,1),8341(a,1,2,2))]. 11250 K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(5665(a,1),8384(a,1,1,2))]. 11251 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(8046(a,1),11250(a,1,1))]. 11252 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(17,a,10517,a(flip),b,11251,a)]. 11254 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(198,a,5920,a(flip),b,11252,a(flip)),flip(a)]. 11257 (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(4896(a,1),8436(a,1,1))]. 11258 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(620,a,11257,a),flip(a)]. 11259 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11257(a,1),620(a,1))]. 11260 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5217(a,1),11258(a,1,2)),flip(a)]. 11261 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(10463(a,2),9669(a,2,2,2))]. 11262 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(8491,a,9742,a(flip)),flip(a)]. 11263 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(236(a,1),11262(a,2,1,2))]. 11264 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1543(a,1),11263(a,1,2)),flip(a)]. 11265 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(6711,a,11264,a)]. 11266 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(198,a,6591,a(flip),b,11264,a(flip))]. 11267 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5281(a,1),9778(a,1,1,1))]. 11268 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(198,a,4570,a(flip),b,9827,a)]. 11269 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(198,a,1193,a(flip),b,11268,a)]. 11270 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1969(a,1),11269(a,1,2))]. 11271 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(65,a,4831,a(flip),b,11270,a)]. 11272 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(57(a,1),9948(a,1,2,1)),flip(a)]. 11274 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(7094(a,2),11272(a,2,2))]. 11275 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(198,a,7198,a(flip),b,11274,a)]. 11277 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(198,a,9296,a(flip),b,11275,a(flip))]. 11279 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(11277(a,2),8110(a,1))]. 11280 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(16(a,1),10177(a,2,1))]. 11281 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(198,a,7438,a(flip),b,11280,a),flip(a)]. 11282 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(60(a,1),10526(a,2,2,2,1,1,2))]. 11283 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(60(a,1),11282(a,1,2))]. 11284 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(11283(a,1),10298(a,1,1))]. 11285 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6737,a,11284,a)]. 11286 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10681,a,11285,a),flip(a)]. 11287 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(106(a,1),11285(a,1,2,2)),flip(a)]. 11289 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(198,a,11132,a(flip),b,11286,a(flip))]. 11290 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(198,a,9759,a(flip),b,11286,a(flip)),flip(a)]. 11291 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(11290(a,1),4924(a,2,2)),flip(a)]. 11292 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),11289(a,1,2,2,2)),flip(a)]. 11293 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),11292(a,2,2))]. 11295 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10111,a,11293,a)]. 11296 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),z,y). [hyper(198,a,11155,a(flip),b,11293,a(flip))]. 11297 K(x,R(y,x,z)) = K(x,y). [hyper(198,a,10915,a(flip),b,11293,a(flip))]. 11298 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(8408,a,11297,a)]. 11300 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(198,a,9850,a(flip),b,11297,a(flip)),flip(a)]. 11301 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),11297(a,1,2))]. 11302 T(x,R(y,x,z)) = x * K(x,y). [para(11297(a,1),4924(a,2,2))]. 11304 T(x,R(y,x,z)) = T(x,y). [hyper(198,a,4924,a,b,11302,a)]. 11317 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(449(a,1),11304(a,1,2))]. 11318 T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(11304(a,1),8944(a,1,1))]. 11319 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6159,a,11298,a)]. 11320 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10681,a,11300,a)]. 11322 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(198,a,9280,a,b,11300,a(flip)),flip(a)]. 11323 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(198,a,11285,a(flip),b,11300,a(flip)),flip(a)]. 11324 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(10682,a,11319,a)]. 11325 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(198,a,8827,a,b,11319,a(flip)),flip(a)]. 11326 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11320(a,1),11291(a,1,2))]. 11327 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(13(a,1),11322(a,1,2,1)),flip(a)]. 11328 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(11325(a,1),7223(a,1,1))]. 11329 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(4173(a,1),11327(a,1,2,2))]. 11330 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(8409,a,11301,a)]. 11331 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(11295(a,1),431(a,1,1))]. 11332 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(198,a,10646,a(flip),b,11318,a(flip)),flip(a)]. 11333 T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). [para(5075(a,1),11318(a,2,2))]. 11335 R(K(x,x \ y),z,y) = R(K(x,x \ y),y,z). [hyper(198,a,10895,a(flip),b,11296,a(flip))]. 11336 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(198,a,9760,a(flip),b,11323,a(flip))]. 11337 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7156,a,11328,a)]. 11338 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(198,a,9562,a(flip),b,11337,a(flip)),flip(a)]. 11339 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(11338(a,1),7385(a,1,1,2)),flip(a)]. 11340 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(198,a,11327,a(flip),b,11336,a(flip))]. 11341 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11340(a,1),6955(a,1))]. 11342 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4927,a,11326,a),flip(a)]. 11343 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(198,a,7385,a(flip),b,11339,a)]. 11344 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7577,a,11343,a)]. 11345 K(x \ (y / z),x) \ y = y * K(x,z \ (x \ y)). [para(11343(a,1),7218(a,1,2)),flip(a)]. 11346 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(57(a,1),11344(a,1,2,1,2)),flip(a)]. 11347 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(198,a,9483,a,b,11346,a(flip)),flip(a)]. 11348 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(11297(a,1),11330(a,1,1))]. 11350 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(198,a,6951,a(flip),b,11331,a(flip))]. 11351 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5019(a,1),11350(a,2,1))]. 11352 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(198,a,10079,a(flip),b,11351,a(flip)),flip(a)]. 11353 (x * y) \ ((y * x) * z) = K(y,x) * z. [hyper(65,a,11351,a(flip),b,10079,a(flip))]. 11355 L(x,K(y,z),z * y) = x. [hyper(720,a,11352,a)]. 11356 (x * y) \ ((y * x) * z) = K(x,y) \ z. [hyper(520,a,11352,a)]. 11357 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(484,a,11352,a)]. 11358 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(198,a,10926,a,b,11352,a(flip)),flip(a)]. 11360 (K(x,y) * z) * (K(y,T(x,z)) * u) = (z * K(x,y)) * (K(y,x) * u). [para(7126(a,1),11352(a,1,2))]. 11361 L(x,y * z,K(z,y)) = x. [hyper(10969,a,11355,a)]. 11363 L(x,K(y \ z,y),z) = x. [para(14(a,1),11355(a,1,3))]. 11364 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(198,a,6786,a(flip),b,11361,a(flip))]. 11365 L(x,T(y,z) * z,K(z,y)) = x. [para(5115(a,1),11361(a,1,3))]. 11366 L(x,K(y,y \ z),z) = x. [para(5351(a,1),11363(a,1,2))]. 11367 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(198,a,6213,a(flip),b,11366,a(flip)),flip(a)]. 11368 L(x,y,T(z,y)) = L(x,y,z). [hyper(10472,a,11365,a),flip(a)]. 11369 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(1880,a,11368,a)]. 11370 L(T(x,y) \ 1,x,T(y,x)) = (x * y) \ y. [hyper(198,a,5941,a(flip),b,11368,a)]. 11371 L(x,y / z,z) = L(x,z \ y,z). [hyper(198,a,4438,a(flip),b,11368,a(flip)),flip(a)]. 11372 L(x,y,z / y) = L(x,y,y \ z). [para(108(a,1),11368(a,1,3)),flip(a)]. 11376 x * L(y,z,z \ x) = (x / z) * (z * y). [para(11372(a,1),387(a,1,2))]. 11377 (x * y) * (K(y,x) * z) != u | (y * x) * z = u. [para(11353(a,1),212(a,1,2)),flip(b)]. 11379 L(K(x,y),x * y,z) \ u = (x * y) \ ((y * x) * u). [para(10912(a,2),11356(a,2,1)),flip(a)]. 11380 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),11358(a,1,2,1))]. 11382 K(x \ ((y * z) * u),z) = K(x \ ((z * y) * u),z). [para(11358(a,1),9369(a,1,1,2)),flip(a)]. 11385 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(11364(a,2),14(a,1,2))]. 11386 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [para(14(a,1),11364(a,2,2,2))]. 11387 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11364(a,2),57(a,1,2))]. 11388 L(T((x / y) \ 1,y * (x / y)) \ 1,(x / y) \ 1,T(y * (x / y),(x / y) \ 1)) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(10362(a,1),11370(a,2,1))]. 11390 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(14(a,1),11367(a,1,2)),flip(a)]. 11391 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(267,a,11380,a),flip(a)]. 11392 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(11390(a,1),11357(a,1,2)),flip(a)]. 11393 (K(x,y) * z) * (K(y,T(x,z)) * u) != w | (z * K(x,y)) * (K(y,x) * u) = w. [para(7126(a,1),11377(a,1,2))]. 11394 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(198,a,11391,a(flip),b,11392,a(flip))]. 11395 (1 / x) \ ((x \ 1) * y) = (x * (1 / x)) \ y. [hyper(64,a,2877,a,b,11394,a),flip(a)]. 11396 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(2537(a,2),11395(a,1,1))]. 11397 L(K(T(x,y),z),T(x,y) * z,u) \ T(x,z * x) = (T(x,y) * z) \ (x * (z * T(x,y))). [para(9154(a,1),11379(a,2,2))]. 11398 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(198,a,10301,a(flip),b,11332,a(flip))]. 11399 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(198,a,10875,a(flip),b,11329,a(flip))]. 11400 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(198,a,42,a,b,11317,a(flip)),flip(a)]. 11401 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4551(a,1),11347(a,2,2))]. 11402 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(198,a,4093,a(flip),b,11400,a)]. 11403 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(198,a,8346,a(flip),b,11401,a)]. 11404 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(198,a,8089,a(flip),b,11403,a)]. 11405 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(198,a,10909,a(flip),b,11404,a(flip)),flip(a)]. 11407 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(198,a,10530,a,b,11405,a(flip)),flip(a)]. 11408 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(198,a,4696,a,b,11405,a(flip)),flip(a)]. 11409 K(x,x \ T(x * y,z)) = K(x,T(y,z)). [para(13(a,1),11405(a,2,2,1))]. 11410 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(11405(a,1),4924(a,2,2)),flip(a)]. 11411 K(x,T(y,z) / x) = K(x,T(y / x,z)). [para(4649(a,1),11409(a,1,2))]. 11412 K(x,T(y,z)) \ T(x * y,z) = (x \ T(x * y,z)) * x. [para(11409(a,1),4952(a,1,1))]. 11413 K(x,T(y,x / y) / x) = K(x,y / x). [hyper(198,a,3509,a(flip),b,11411,a)]. 11414 K(x,y / x) * T(y,x / y) = x * (T(y,x / y) / x). [para(11413(a,1),5056(a,1,1))]. 11415 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11407(a,1),4937(a,2,1)),flip(a)]. 11416 T(x,x \ T(y,z)) = T(x,T(x \ y,z)). [hyper(4927,a,11410,a),flip(a)]. 11417 T(T(x,x \ T(y,z)),T(u,x)) = T(T(x,u),T(x \ y,z)). [para(11416(a,2),4089(a,1,1))]. 11418 K(x,T(y,z)) \ T(x * y,z) = T(y * x,z). [hyper(198,a,4676,a(flip),b,11412,a)]. 11420 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(352(a,1),11414(a,1,1,2))]. 11421 T(T(x,y),x \ T(z,u)) = T(T(x,y),T(x \ z,u)). [hyper(198,a,4089,a(flip),b,11417,a(flip)),flip(a)]. 11422 T((x \ T(y,x)) \ y,K(z,x \ y)) = T(T(x,y),x \ T(y,z)). [hyper(198,a,8142,a,b,11421,a),flip(a)]. 11423 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(198,a,9005,a(flip),b,11415,a(flip))]. 11424 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11423(a,2),5779(a,1,2))]. 11425 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(215,a,11424,a)]. 11426 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11425(a,1),10464(a,1,1))]. 11427 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11426(a,1),11281(a,1,1)),flip(a)]. 11428 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(198,a,9583,a(flip),b,11427,a)]. 11429 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(198,a,5080,a(flip),b,11428,a(flip))]. 11430 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(15(a,1),11429(a,2,1))]. 11431 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(32(a,2),11430(a,1,3))]. 11432 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11431(a,1),5030(a,1,2))]. 11433 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(198,a,10172,a(flip),b,11432,a(flip))]. 11434 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(198,a,42,a,b,11402,a)]. 11435 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11342(a,1),11434(a,1,1))]. 11436 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),11435(a,1,1,2,2)),flip(a)]. 11437 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(523,a,11436,a),flip(a)]. 11438 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11436(a,1),6135(a,1,2,1))]. 11439 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(198,a,949,a(flip),b,11437,a(flip)),flip(a)]. 11440 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),11437(a,1,1,2)),flip(a)]. 11441 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(9348(a,1),11437(a,1,1)),flip(a)]. 11443 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(60(a,1),11439(a,1,1,1)),flip(a)]. 11446 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5699(a,1),11439(a,2,1))]. 11448 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11443(a,1),10073(a,1,2,1)),flip(a)]. 11449 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1108(a,1),11440(a,1,1)),flip(a)]. 11450 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6928(a,1),11441(a,1,1))]. 11451 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7094(a,2),11450(a,2,1))]. 11452 ((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(8167(a,1),11451(a,2,1))]. 11453 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(198,a,157,a(flip),b,11449,a)]. 11454 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),11453(a,2,1))]. 11455 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(198,a,633,a(flip),b,11454,a)]. 11456 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11455(a,1),4881(a,1,1))]. 11457 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5167,a,11456,a),flip(a)]. 11458 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(9231,a,11457,a)]. 11459 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(198,a,10047,a,b,11458,a)]. 11460 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6136,a,11438,a),flip(a)]. 11463 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(11460(a,1),4859(a,1,1,2))]. 11464 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(198,a,7172,a(flip),b,11287,a)]. 11465 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(198,a,6235,a(flip),b,11446,a)]. 11466 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6233(a,1),11465(a,1,1)),flip(a)]. 11467 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5651(a,1),11463(a,1,1))]. 11468 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(198,a,42,a,b,11467,a(flip)),flip(a)]. 11469 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4859(a,1),11468(a,1,1)),flip(a)]. 11470 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(198,a,44,a(flip),b,11469,a)]. 11471 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(11470(a,1),1146(a,1,1,1)),flip(a)]. 11472 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(198,a,7631,a(flip),b,11464,a)]. 11473 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7577,a,11472,a)]. 11474 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(198,a,10801,a(flip),b,11473,a(flip)),flip(a)]. 11476 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(198,a,9771,a(flip),b,11474,a(flip)),flip(a)]. 11477 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(198,a,9754,a(flip),b,11476,a(flip))]. 11478 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(49(a,1),11477(a,1,2,2))]. 11479 L(K(x,T(y,z)),T(x,z) * y,u) \ T(x,y * x) = (T(x,z) * y) \ (x * (y * T(x,z))). [para(7172(a,1),11397(a,1,1,1))]. 11480 (T(x,y) * z) \ (x * (z * T(x,y))) = K(x,T(z,y)) \ T(x,z * x). [para(281(a,1),11479(a,1,1)),flip(a)]. 11481 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). [para(4893(a,1),11333(a,1,1)),flip(a)]. 11482 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). [para(4893(a,1),11481(a,2,2,1))]. 11483 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(198,a,7950,a(flip),b,10762,a)]. 11484 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(198,a,10985,a(flip),b,10957,a(flip)),flip(a)]. 11485 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10976,a,11484,a)]. 11486 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(198,a,11000,a(flip),b,11485,a(flip)),flip(a)]. 11487 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),11486(a,1,2,2,1))]. 11488 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(198,a,5785,a(flip),b,11487,a)]. 11489 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(198,a,11030,a(flip),b,11488,a)]. 11490 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),11489(a,2,2,2,1))]. 11491 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(7140(a,1),11029(a,2,2))]. 11492 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(198,a,5788,a(flip),b,11177,a)]. 11493 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(198,a,11057,a(flip),b,11242,a(flip)),flip(a)]. 11494 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(8308(a,1),11493(a,1,2,2))]. 11495 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(198,a,9268,a(flip),b,11494,a(flip))]. 11497 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(198,a,5909,a(flip),b,11495,a(flip)),flip(a)]. 11498 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7773(a,1),11249(a,1,2))]. 11499 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(198,a,9168,a(flip),b,11261,a)]. 11501 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(3255(a,1),11499(a,1,2,2))]. 11503 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6510(a,1),11501(a,1,2)),flip(a)]. 11504 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(198,a,11497,a(flip),b,11503,a)]. 11506 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(198,a,11190,a,b,11504,a(flip)),flip(a)]. 11508 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(198,a,11115,a,b,11506,a(flip)),flip(a)]. 11510 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(172(a,1),11508(a,2,2))]. 11511 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(198,a,11106,a(flip),b,11510,a)]. 11513 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(198,a,9667,a(flip),b,11511,a(flip)),flip(a)]. 11515 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2301(a,1),11267(a,1,1,2)),flip(a)]. 11516 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7361(a,1),11515(a,2,1))]. 11517 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(198,a,9531,a,b,11516,a)]. 11518 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2304(a,1),11517(a,1,1,1))]. 11519 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5281(a,1),11518(a,1,1))]. 11520 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(198,a,7773,a,b,11519,a)]. 11521 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(1802(a,1),11520(a,1,2))]. 11522 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(66,a,11521,a(flip),b,4939,a)]. 11523 (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(4366(a,1),11452(a,1,1))]. 11524 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(57(a,1),11492(a,2,2,1,2))]. 11525 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6455(a,1),11524(a,1,2,1,1,2,1))]. 11526 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(198,a,10839,a(flip),b,11525,a(flip))]. 11527 (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(7813(a,1),11523(a,1,1,2))]. 11528 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8427,a,11527,a),flip(a)]. 11530 R(K(x,y),L(y,z,u),w) = K(x,y). [para(8769(a,1),11528(a,1,1))]. 11531 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(198,a,6771,a(flip),b,11530,a(flip)),flip(a)]. 11533 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(198,a,6403,a(flip),b,11531,a)]. 11534 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(198,a,10711,a,b,11533,a(flip)),flip(a)]. 11536 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11534(a,1),8158(a,1))]. 11537 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(198,a,2153,a(flip),b,5946,a(flip))]. 11539 (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(6157(a,1),11537(a,1,1,2,1,2))]. 11540 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(4897(a,1),6575(a,2,2))]. 11541 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(198,a,6343,a(flip),b,11540,a)]. 11543 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(198,a,4438,a(flip),b,11541,a(flip)),flip(a)]. 11544 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6718(a,1),8320(a,1,2))]. 11545 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(198,a,7848,a(flip),b,11544,a(flip)),flip(a)]. 11546 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(350(a,1),11545(a,2,1,1))]. 11547 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(8106,a,11546,a)]. 11548 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(8606,a,11547,a),flip(a)]. 11549 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(198,a,9757,a(flip),b,11548,a)]. 11551 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(198,a,10622,a(flip),b,11549,a(flip)),flip(a)]. 11552 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(8249,a,11551,a)]. 11553 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(9875,a,11552,a),flip(a)]. 11555 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(106(a,1),11553(a,1,1,2)),flip(a)]. 11556 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(9091,a,11555,a),flip(a)]. 11557 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(198,a,11219,a,b,11556,a(flip)),flip(a)]. 11558 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(198,a,8834,a(flip),b,11557,a)]. 11559 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6101(a,2),11558(a,1,1))]. 11560 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1653(a,2),8690(a,1,2,2))]. 11561 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(6532(a,1),8759(a,2,2,1,2))]. 11562 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(369(a,1),11561(a,2,2))]. 11563 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = T(x * y,T(1 / y,z)). [hyper(198,a,8312,a(flip),b,11562,a)]. 11564 T(x * y,T(1 / y,x)) = L(y \ 1,y,x) \ x. [hyper(198,a,3949,a(flip),b,11563,a(flip))]. 11565 T(x * y,T(1 / y,x)) = T(x * y,1 / y). [hyper(198,a,6532,a(flip),b,11564,a)]. 11566 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7463,a,9487,a),flip(a)]. 11567 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(5076(a,1),11566(a,1,2)),flip(a)]. 11568 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3512(a,1),10612(a,1,1))]. 11569 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),10769(a,1,1,1)),flip(a)]. 11571 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(198,a,1146,a(flip),b,11471,a)]. 11572 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),11571(a,2,3))]. 11573 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(92(a,1),11560(a,1,2)),flip(a)]. 11574 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(10699(a,1),11568(a,1,1))]. 11575 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5704(a,1),11574(a,1,2))]. 11576 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8207(a,1),11575(a,1,2))]. 11577 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3571(a,2),3745(a,1,1))]. 11578 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(4083(a,1),4152(a,2,2,1,1))]. 11579 R(T(x * L(x \ 1,y,z),x * u),u,x) = T(x,u) * L(T(x,u) \ 1,y,z). [para(1917(a,1),11578(a,1,1))]. 11580 R(T(x * L(x \ 1,y,z),x * u),u,x) != w | T(x * L(x \ 1,y,z),u) = w. [para(11579(a,2),1922(a,1))]. 11581 (K(x,y) * K(x,T(y,z))) \ (T(K(x,y),z) * T(x,x \ y)) = L(R(x,x \ y,x),K(x,y),T(K(x,y),z)). [para(7094(a,2),5616(a,1,1,2))]. 11582 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). [para(5942(a,1),5947(a,2,2,1,1))]. 11583 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). [hyper(198,a,1615,a(flip),b,11582,a)]. 11584 (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),11583(a,2,2,2,1))]. 11585 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). [para(162(a,1),11584(a,2,2))]. 11586 (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). [para(4082(a,1),11585(a,1,2,2,1))]. 11587 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(4099(a,1),11586(a,1,2))]. 11588 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(102(a,1),11587(a,2,2))]. 11589 a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). [hyper(198,a,24,a,b,11588,a),flip(a)]. 11590 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1038(a,1),6009(a,2,1))]. 11591 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(198,a,11590,a(flip),b,6010,a(flip))]. 11592 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1038(a,1),11591(a,1,1)),flip(a)]. 11593 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(198,a,11087,a(flip),b,7013,a(flip))]. 11595 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4921(a,1),7485(a,1,2,2,1))]. 11597 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(7661(a,1),11595(a,1,2,2))]. 11598 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(192,a,11597,a),flip(a)]. 11599 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(48(a,1),11598(a,2,1))]. 11600 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(65,a,5347,a(flip),b,11599,a)]. 11601 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(8285(a,1),8395(a,1,1,1))]. 11602 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(198,a,6457,a(flip),b,8796,a)]. 11603 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(13(a,1),11602(a,2,2))]. 11604 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6527,a,11603,a)]. 11605 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(13(a,1),11604(a,1,2))]. 11606 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(9399,a,11605,a)]. 11607 K(x \ (y * z),z) * K(z,z \ T(z * ((y \ x) \ 1),z)) = a(z,(y \ x) \ 1,z). [hyper(198,a,10134,a(flip),b,8952,a)]. 11608 K(x \ (y * z),z) * K(z,(y \ x) \ 1) = a(z,(y \ x) \ 1,z). [para(9179(a,1),11607(a,1,2))]. 11609 K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). [para(6455(a,1),11608(a,1,2))]. 11611 K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). [para(11009(a,1),11609(a,1,1))]. 11612 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11611(a,1),8693(a,1))]. 11613 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(198,a,11003,a(flip),b,10700,a(flip))]. 11614 ((1 / L(x,y,z)) * (1 / (1 / L(x,y,z)))) \ u = L(1 / (1 / x),y,z) \ (L(x,y,z) * u). [para(60(a,1),11396(a,1,2,1)),flip(a)]. 11616 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7773(a,1),11522(a,1,1))]. 11617 (K(x,y) \ K(y,T(x,z))) \ (T(K(y,x),z) * T(y,y \ x)) = L(R(y,y \ x,y),K(y,x),T(K(y,x),z)). [para(5281(a,2),11581(a,1,1))]. 11618 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(198,a,11490,a(flip),b,11613,a)]. 11619 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(198,a,11022,a(flip),b,11618,a)]. 11621 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2690(a,1),11619(a,1,2))]. 11622 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11621(a,1),7385(a,1,1,2)),flip(a)]. 11623 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(198,a,7385,a(flip),b,11622,a)]. 11624 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11623(a,1),6548(a,1,1,2))]. 11625 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11025(a,1),11624(a,1,1,2))]. 11626 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(48(a,1),11625(a,1,1,2,1,2))]. 11627 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5693(a,1),11626(a,1,1))]. 11628 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(198,a,40,a,b,11627,a(flip)),flip(a)]. 11629 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5477(a,1),11628(a,1,1)),flip(a)]. 11630 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4238,a,11629,a)]. 11631 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11630(a,1),397(a,1,2))]. 11632 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11630(a,1),7074(a,1,2))]. 11633 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(11168(a,1),11632(a,1))]. 11634 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(382,a,11631,a),flip(a)]. 11635 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(278,a,11634,a),flip(a)]. 11637 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(198,a,5077,a,b,11635,a),flip(a)]. 11638 R(x,x \ 1,L(x,y,z)) = T(x,x \ 1). [hyper(198,a,1365,a(flip),b,11635,a)]. 11641 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11635(a,1),10200(a,1,2,2)),flip(a)]. 11642 T(x,x \ 1) \ L(x,y,z) = (x \ 1) * L(x,y,z). [para(11638(a,1),342(a,1,1))]. 11643 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11459(a,1),11637(a,1,1,2))]. 11644 K(x * L(y,z,u),y) = K(y * x,y). [hyper(198,a,7546,a(flip),b,11641,a)]. 11646 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(198,a,11265,a(flip),b,11644,a(flip)),flip(a)]. 11647 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(198,a,9243,a(flip),b,11644,a(flip))]. 11649 T(x * K(y,x),x * (L(x,z,u) \ y)) = x. [para(11647(a,1),4893(a,1,1,2))]. 11651 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(198,a,5553,a(flip),b,11646,a)]. 11652 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11536,a,11651,a)]. 11653 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(198,a,11266,a(flip),b,11651,a(flip)),flip(a)]. 11654 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11651(a,1),9843(a,1,1,2))]. 11655 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(11649(a,1),4970(a,1,1)),flip(a)]. 11656 T(x,L(x,y,z) * u) = T(x,x * u). [para(13(a,1),11655(a,1,2,2)),flip(a)]. 11658 K(x,L(x,y,z) * u) = x \ T(x,x * u). [hyper(65,a,11656,a(flip),b,4924,a(flip)),flip(a)]. 11660 K(x,L(x,y,z) * u) = K(x,x * u). [hyper(198,a,4872,a,b,11658,a)]. 11661 K(x,y * L(x,z,u)) = K(x,x * y). [hyper(198,a,10662,a(flip),b,11660,a(flip)),flip(a)]. 11664 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [para(305(a,1),11661(a,1,2)),flip(a)]. 11667 K(((L(x,y,z) * u) / w) \ x,x) = K(w / u,x). [para(13(a,1),11652(a,1,1,2)),flip(a)]. 11669 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(198,a,11013,a(flip),b,11653,a)]. 11670 K(x \ (y * L(x,z,u)),x) = K(y,x). [hyper(198,a,6385,a(flip),b,11653,a)]. 11671 K(x / L(y,z,u),y) = K(y \ x,y). [para(16(a,1),11670(a,1,1,2)),flip(a)]. 11672 K(x / L(y,z,u),y) = K(x / y,y). [hyper(198,a,5148,a,b,11671,a)]. 11674 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(198,a,10968,a,b,11672,a(flip)),flip(a)]. 11676 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(11674(a,1),2019(a,1,2))]. 11677 K(x / (L(y,z,u) * w),y) = K(x / (w * y),y). [hyper(198,a,10004,a(flip),b,11667,a(flip)),flip(a)]. 11678 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(92(a,1),11669(a,1,1,2))]. 11680 K(x / (L(y,z,u) * w),y) = K(y \ (x / w),y). [hyper(198,a,11324,a(flip),b,11677,a)]. 11681 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(11676(a,1),5930(a,1,2,2,1,2))]. 11682 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(11676(a,1),10587(a,1,2)),flip(a)]. 11683 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(9397,a,11678,a)]. 11685 K(x \ (y \ (z * (u * y))),y) != w | K(x \ (z * u),y) = w. [para(11683(a,2),11017(a,1))]. 11686 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(11685,a,10015,a),flip(a)]. 11688 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),11686(a,2,1))]. 11689 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11633,a,11688,a),flip(a)]. 11690 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10944,a,11689,a)]. 11691 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11689(a,1),10944(a,1))]. 11693 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(198,a,5124,a,b,11690,a),flip(a)]. 11694 L(K(L(x,y,z) \ 1,x),y,z) = (L(x,y,z) \ 1) * L(x,y,z). [hyper(198,a,167,a(flip),b,11690,a)]. 11695 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(198,a,11543,a(flip),b,11690,a(flip))]. 11696 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(198,a,6590,a(flip),b,11690,a(flip))]. 11697 L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). [para(40(a,1),11690(a,2,2))]. 11699 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11690(a,1),92(a,1,2))]. 11700 L(K(x,y \ z),y,u) = K(x,(u * y) \ (u * z)). [para(94(a,1),11690(a,2,2))]. 11701 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(196(a,1),11690(a,2,2))]. 11702 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(406(a,1),11690(a,2,2))]. 11703 L(K(x,T(y \ (z \ u),w)),y,z) = K(x,T((z * y) \ u,w)). [para(473(a,1),11690(a,2,2))]. 11704 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11690(a,1),388(a,1,2,2))]. 11705 L(K(x,T((y \ z) \ u,w)),y \ z,y) = K(x,T(z \ (y * u),w)). [para(669(a,1),11690(a,2,2))]. 11706 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(11690(a,1),1190(a,1,2,1))]. 11707 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [para(11690(a,2),4924(a,2,2)),flip(a)]. 11708 K(L(x,y,z),u) \ w = L(K(u,x),y,z) * w. [para(11690(a,2),5281(a,2,1))]. 11709 L(K(x,y),z,u) \ (K(L(y,z,u),x) \ w) = w. [para(11690(a,2),5283(a,1,1))]. 11710 L(K(x,y),z,u) * w != v5 | K(L(y,z,u),x) \ w = v5. [para(11690(a,2),5307(a,1,1))]. 11711 K(x,L(y,x,z)) != u | K(x,y) = u. [para(11690(a,1),6331(a,1))]. 11712 x / L(K(y,z),u,w) = x * K(L(z,u,w),y). [para(11690(a,2),7384(a,1,2))]. 11713 K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)). [para(11690(a,2),7718(a,2,2))]. 11714 K(x,L(y,x * z,u)) != w | K(L(x,z,u),y) = w. [para(11690(a,1),8742(a,1))]. 11715 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11690(a,1),8310(a,1,2))]. 11716 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11690(a,1),10144(a,1,2))]. 11717 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11690(a,1),10148(a,1,2))]. 11718 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11690(a,1),10150(a,1,1))]. 11719 (1 / x) \ (L(x,y,z) \ (L(K(1 / x,x),y,z) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(11690(a,2),5767(a,1,2,2,1))]. 11720 (L(K(x,y),z,u) \ K(x,w)) \ T(x,w) = T(x,L(y,z,u)). [para(11690(a,2),10470(a,1,1,1))]. 11721 x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). [para(11690(a,1),11376(a,1,2))]. 11722 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(11690(a,1),11385(a,1,2))]. 11723 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10670(a,1),11711(a,1))]. 11724 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11693(a,1),5145(a,1))]. 11725 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11707(a,1),10162(a,1,1))]. 11726 K(x,R(y,x,z)) != u | K(x,y) = u. [para(11293(a,1),11723(a,1))]. 11727 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(9023(a,2),11726(a,1))]. 11729 K(x,K(y,L(z,u,w))) != v5 | L(K(x,K(y,z)),u,w) = v5. [para(8524(a,1),11691(a,1))]. 11732 L(K(x,T(y \ z,u * y)),y,u) = K(x,(u * z) / (u * y)). [hyper(198,a,7894,a(flip),b,11697,a)]. 11733 L(K(x,T(y,z)),u,w) \ z = z * K(L(y,u,w),x). [para(11697(a,2),7854(a,1,1))]. 11734 L(K(x,y),z,u) \ R(T(x,L(y,z,u)),w,x) = R(x,w,x). [hyper(65,a,8262,a(flip),b,11708,a(flip))]. 11736 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(17,a,8479,a(flip),b,11712,a(flip)),flip(a)]. 11737 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(11724,a,11736,a),flip(a)]. 11738 K(x,(y * (z \ u)) \ (y * u)) = K(L(x,u,y),T(z,u)). [hyper(7138,a,11736,a)]. 11739 L(K(x,y * x),y,z) = K(x,y * x). [hyper(198,a,7539,a(flip),b,11736,a)]. 11740 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(198,a,8234,a(flip),b,11736,a(flip))]. 11741 L(K(x \ (y \ z),u),x,y) = K((y * x) \ z,u). [para(196(a,1),11736(a,2,1))]. 11742 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(405(a,1),11736(a,2,1))]. 11743 L(K(x,y),z,u) \ y = T(y,L(x,z,u)). [para(11736(a,2),4887(a,2,1)),flip(a)]. 11744 K(L(x,y,z),u) \ w != v5 | L(K(u,x),y,z) * w = v5. [para(11736(a,1),6107(a,1,1))]. 11745 L(K(x,y),z,u) \ R(y,w,y) = R(T(y,L(x,z,u)),w,y). [para(11736(a,2),8262(a,1,1))]. 11746 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(11736(a,1),10144(a,1,2))]. 11747 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(11736(a,1),11724(a,1))]. 11748 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(405(a,1),11737(a,1,1)),flip(a)]. 11749 ((x * y) * K(z,L(u,y,x))) \ (x * (y * T(z,u))) = L(z,y,x). [para(11737(a,1),6254(a,1,1,2))]. 11750 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(11737(a,1),7391(a,1,2))]. 11751 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(11737(a,2),11691(a,1))]. 11752 a(x,y,K(z,y * z)) = 1. [hyper(34,a,11739,a)]. 11753 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(198,a,10056,a(flip),b,11740,a(flip)),flip(a)]. 11754 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(847(a,1),11740(a,1,1)),flip(a)]. 11755 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(7715(a,2),11751(a,1))]. 11756 a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. [para(11716(a,1),1807(a,1))]. 11757 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11716(a,1),5520(a,2,2))]. 11758 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11717(a,1),7408(a,1,1)),flip(b)]. 11759 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(198,a,10161,a(flip),b,11718,a(flip)),flip(a)]. 11761 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7715(a,2),11759(a,1,3))]. 11762 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(198,a,10155,a(flip),b,11746,a(flip)),flip(a)]. 11763 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(8515(a,1),11746(a,1,2))]. 11764 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [hyper(198,a,11718,a,b,11762,a),flip(a)]. 11765 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11762(a,1),10182(a,2,2))]. 11766 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(11699(a,1),19(a,1)),flip(a)]. 11767 x * (y * K(x * y,z)) != u | T(x * y,L(z,y,x)) = u. [para(11699(a,1),4927(a,1))]. 11768 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(6274(a,1),11699(a,1,2,2))]. 11769 K(x,y / (z * (u * K(x,w)))) = K(x,y / (z * u)). [para(11699(a,1),9654(a,1,2,2))]. 11770 K(x / y,(z * (x / y)) \ (z * u)) = K((y / x) \ 1,(x / y) \ u). [hyper(6328,a,11700,a),flip(a)]. 11771 L(K(x / y,(y \ x) \ z),x / y,u) = K(x / y,(u * (x / y)) \ (u * z)). [para(9186(a,1),11700(a,1,1))]. 11772 K((x * y) \ z,(x \ u) \ y) = K(y \ (x \ z),u \ (x * y)). [hyper(198,a,6617,a(flip),b,11741,a(flip))]. 11773 L(K((x \ 1) \ (y \ z),y),x \ 1,x) = K(y \ (x * z),y). [hyper(198,a,10952,a,b,11742,a)]. 11774 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(405(a,1),11748(a,1,2))]. 11775 T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). [hyper(7720,a,11713,a),flip(a)]. 11776 L(K(x,y),z,u) \ y = y * K(L(y,z,u),x). [para(105(a,1),11733(a,1,1,1,2))]. 11780 K(x,y / (z * ((u / x) * w))) = K(x,y / (z * ((x \ u) * w))). [para(6553(a,1),11769(a,1,2,2,2))]. 11781 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(14(a,1),11774(a,1,2)),flip(a)]. 11782 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(14(a,1),11781(a,1,1)),flip(a)]. 11783 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(198,a,11695,a(flip),b,11782,a(flip))]. 11784 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1574(a,2),11783(a,1,2))]. 11785 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [para(11371(a,1),11784(a,1,2))]. 11787 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(198,a,11782,a(flip),b,11696,a(flip)),flip(a)]. 11788 x * ((x \ y) * K(z,(x \ y) \ u)) = y * K(z,y \ (x * u)). [para(11702(a,1),386(a,1,2)),flip(a)]. 11789 K(L(x,y,y \ z),T(u,z)) \ z = (z / y) * (y * K(u,x)). [hyper(8218,a,11721,a)]. 11790 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(10155(a,1),11758(a,1))]. 11791 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(11764(a,2),11790(a,1))]. 11792 K(x,x * y) \ (L(K(x,x * y),z,u) * T(x,y)) = R(T(x,L(x * y,z,u)),y,x). [hyper(198,a,10556,a,b,11745,a(flip)),flip(a)]. 11794 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(198,a,10978,a(flip),b,11753,a(flip)),flip(a)]. 11796 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(198,a,10885,a(flip),b,11794,a(flip))]. 11798 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(198,a,11750,a(flip),b,11757,a(flip)),flip(a)]. 11799 (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(4313(a,1),11798(a,1,1))]. 11800 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11765(a,1),9102(a,2,2))]. 11801 K((x \ y) \ 1,T((y \ x) \ z,u * (y \ x))) = K(y \ x,(u * z) / (u * (y \ x))). [hyper(6522,a,11732,a)]. 11802 L(K(x,T(y \ z,K(u,w) \ y)),y,K(w,u)) = K(x,(K(w,u) * z) / (K(w,u) * y)). [para(5281(a,2),11732(a,1,1,2,2))]. 11803 L(K((x \ y) \ z,y),x \ 1,x) = K(y \ (x * z),y). [para(8826(a,1),11773(a,1,1))]. 11804 L(K(x \ ((y \ x) \ z),x),y \ 1,y) = K(x \ (y * (x \ z)),x). [para(10876(a,1),11803(a,1,1))]. 11805 K(L(T(x,y),z,z \ y),u) \ y = (y / z) * (z * K(u,x)). [para(7187(a,2),11789(a,1,1))]. 11806 L(K(x,T(y,z)),u,u \ z) * z = (z / u) * (u * K(x,y)). [hyper(11744,a,11805,a)]. 11807 (1 / L(x,y,z)) * (1 / (1 / L(x,y,z))) = L(K(L(x,y,z) \ 1,x),y,z). [hyper(198,a,3998,a,b,11694,a),flip(a)]. 11808 (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y,x). [para(11699(a,1),11749(a,1,1))]. 11809 L(x,y * K(x,z),u) = L(x,y,u). [hyper(6263,a,11808,a)]. 11812 L(x,y \ T(z,x),u) = L(x,y \ z,u). [para(7380(a,1),11809(a,1,2)),flip(a)]. 11813 K(x,y \ z) \ T(x,(y \ z) * x) = L(x,y \ T(z,x),x). [hyper(198,a,5416,a,b,11812,a),flip(a)]. 11816 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(11763(a,1),6080(a,1))]. 11817 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(198,a,9796,a,b,11768,a(flip)),flip(a)]. 11818 K(x,y / (x * ((x \ z) * u))) = K(x,x \ (y / ((z / x) * u))). [hyper(198,a,11320,a(flip),b,11780,a(flip))]. 11819 x \ (y * K(z,y \ (x * u))) = (x \ y) * K(z,(x \ y) \ u). [hyper(71,a,11788,a)]. 11820 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(198,a,9959,a(flip),b,11817,a(flip))]. 11821 K(x,x \ (y / ((z / x) * u))) = K(x,x \ (y / ((x \ z) * u))). [hyper(198,a,11320,a(flip),b,11818,a(flip))]. 11822 K(x / (y \ z),u) \ (y \ z) = y \ (z * K(u,z \ (y * x))). [hyper(198,a,7217,a,b,11819,a),flip(a)]. 11823 K(x / (y \ z),u) \ (y \ z) = y \ (K((y * x) / z,u) \ z). [para(7217(a,2),11822(a,2,2))]. 11824 T(x / (y \ z),u) \ x = y \ (K((y * x) / z,u) \ z). [hyper(5591,a,11823,a)]. 11825 T(1 / (x \ y),z) \ 1 = x \ (K(x / y,z) \ y). [para(12(a,1),11824(a,2,2,1,1,1))]. 11826 T(1 / (x \ (x / y)),z) \ 1 = x \ (K(y,T(z,x)) \ (x / y)). [para(7835(a,1),11825(a,2,2,1))]. 11827 T(1 / (x \ (x / y)),z) \ 1 = x \ ((x / y) * K(z,y)). [para(8562(a,1),11826(a,2,2))]. 11828 T(1 / (x \ (x / y)),z) \ 1 = x \ (x / T(y,z)). [para(7391(a,1),11827(a,2,2))]. 11829 K(x,y) \ (z \ (z / x)) = z \ (z / T(x,y)). [hyper(198,a,6710,a(flip),b,11828,a(flip)),flip(a)]. 11831 L(K(x,T((y * K(z,u)) \ w,v5)),K(u,z) \ T(y,K(u,z)),K(u,z)) = K(x,T(T(y,K(u,z)) \ (K(u,z) * w),v5)). [para(7784(a,1),11705(a,1,1,2,1,1))]. 11832 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6102(a,1),11715(a,1,1))]. 11833 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(198,a,8479,a(flip),b,11832,a)]. 11834 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11833(a,1),7775(a,1,1))]. 11835 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6385(a,1),11654(a,1,1,2)),flip(a)]. 11836 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(198,a,6244,a(flip),b,11835,a)]. 11837 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1176(a,1),11836(a,1,1))]. 11838 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11837(a,1),10034(a,2,2))]. 11839 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(198,a,6248,a(flip),b,11838,a)]. 11840 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(198,a,7231,a(flip),b,11754,a)]. 11841 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(7910(a,1),11820(a,1,2)),flip(a)]. 11842 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6748(a,1),11841(a,2,2))]. 11843 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(198,a,601,a(flip),b,11840,a)]. 11844 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(8623,a,11843,a)]. 11846 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10309,a,11844,a)]. 11847 (1 / L(x,y,z)) * (1 / (1 / L(x,y,z))) = (x \ 1) * x. [hyper(198,a,4805,a(flip),b,11807,a)]. 11849 L(1 / (1 / x),y,z) \ (L(x,y,z) * u) = ((x \ 1) * x) \ u. [para(11847(a,1),11614(a,1,1)),flip(a)]. 11850 L(x,y,z) \ (((x \ 1) * x) \ u) = L(1 / (1 / x),y,z) \ u. [para(11849(a,1),3458(a,1,2))]. 11854 K(x / y,(z * (x / y)) \ (z * u)) != w | K((y / x) \ 1,(y \ x) \ u) = w. [para(11771(a,1),6328(a,1))]. 11855 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(198,a,11846,a(flip),b,11796,a(flip)),flip(a)]. 11856 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(198,a,7503,a(flip),b,11855,a(flip)),flip(a)]. 11857 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(9231,a,11856,a)]. 11858 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(198,a,9925,a(flip),b,11857,a)]. 11859 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(48(a,1),11858(a,2,1))]. 11860 K(x * y,L(y,z,u)) * K(L(y,z,u),L(y,z,u) \ (x * L(y,z,u))) = a(L(y,z,u),L(y,z,u) \ (x * L(y,z,u)),L(y,z,u)). [para(11859(a,1),8668(a,1,1))]. 11872 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5651(a,1),11643(a,1,1))]. 11873 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5818(a,1),11872(a,1,1,1,2))]. 11874 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(198,a,42,a,b,11873,a(flip)),flip(a)]. 11875 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5477(a,1),11874(a,1,1)),flip(a)]. 11876 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(198,a,11635,a(flip),b,11875,a(flip)),flip(a)]. 11877 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11876(a,1),430(a,1,1)),flip(a)]. 11878 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(198,a,102,a(flip),b,11877,a)]. 11879 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10451(a,1),11878(a,1,1,1)),flip(a)]. 11880 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(5281(a,1),11706(a,1,2))]. 11881 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(11737(a,1),11880(a,1,2,1))]. 11882 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4944(a,1),11881(a,1,2))]. 11883 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11725(a,1),11882(a,1,2)),flip(a)]. 11884 (1 / x) \ (L(x,y,z) \ (L(K(x \ 1,x),y,z) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(2016(a,1),11719(a,1,2,2,1,1))]. 11886 K(x,x * y) \ (L(K(x * y,x),z,u) \ T(x,y)) = R(T(x,L(x * y,z,u)),y,x). [para(6102(a,2),11792(a,1,2))]. 11887 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11839(a,1),11800(a,1,2))]. 11888 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(198,a,7480,a(flip),b,11887,a(flip))]. 11889 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11737(a,1),11888(a,2,1))]. 11890 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(198,a,11718,a(flip),b,11889,a)]. 11891 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(191,a,11890,a),flip(a)]. 11893 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),11891(a,1,3,1)),flip(a)]. 11894 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(5147(a,1),11891(a,1,3)),flip(a)]. 11895 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(5189(a,1),11891(a,1,3))]. 11897 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11893(a,2),10790(a,1,1))]. 11898 a(x,y,K(x * z,z)) = 1. [hyper(198,a,7035,a(flip),b,11894,a)]. 11899 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(11894(a,1),11883(a,2,2,2))]. 11900 L(K(x * y,y),z,x) = K(x * y,y). [hyper(33,a,11898,a)]. 11901 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11900(a,1),7117(a,2,1))]. 11902 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10794,a,11897,a)]. 11903 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(198,a,11895,a,b,11902,a(flip)),flip(a)]. 11904 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(11664(a,1),11902(a,1,3)),flip(a)]. 11905 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(198,a,11903,a(flip),b,11904,a(flip))]. 11906 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6361(a,1),11905(a,1,3))]. 11907 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(9479(a,1),11901(a,1,2,2))]. 11908 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7113(a,1),11907(a,1,2)),flip(a)]. 11909 (1 / x) \ (L(x,y,z) \ (L((x \ 1) * x,y,z) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(167(a,1),11884(a,1,2,2,1,1))]. 11919 (1 / x) \ (L(x,y,z) \ (((x \ 1) * x) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(4801(a,1),11909(a,1,2,2,1))]. 11921 (1 / x) \ (L(1 / (1 / x),y,z) \ u) = (x \ 1) \ (L(x,y,z) \ u). [para(11850(a,1),11919(a,1,2))]. 11922 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(11921(a,1),5363(a,1,2)),flip(a)]. 11923 K((x \ y) \ 1,T((y \ x) \ z,x)) = K(y \ x,(y * z) / (y * (y \ x))). [para(14(a,1),11801(a,1,2,2))]. 11924 K(x \ y,(x * z) / (x * (x \ y))) = K((x / y) \ 1,(x \ y) \ z). [hyper(8636,a,11923,a),flip(a)]. 11925 K((x / y) \ 1,(x \ y) \ z) = K(x \ y,(x * z) / y). [para(14(a,1),11924(a,1,2,2)),flip(a)]. 11926 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(198,a,5229,a(flip),b,11899,a)]. 11927 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1574(a,2),11787(a,1,2))]. 11930 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(4171(a,1),4177(a,2,2,1,1))]. 11931 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(198,a,2507,a(flip),b,11930,a)]. 11932 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1583(a,1),11931(a,2,1))]. 11933 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4082(a,1),11932(a,1,1,2,1))]. 11934 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4099(a,1),11933(a,1,1))]. 11935 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(8454(a,1),11934(a,1,1)),flip(a)]. 11937 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(8667(a,1),11935(a,1,1)),flip(a)]. 11938 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5576(a,1),5350(a,1,1,2,1)),flip(a)]. 11939 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5124(a,1),11938(a,2,1,2))]. 11941 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(7377(a,1),11939(a,2,1))]. 11942 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(77,a,11941,a)]. 11943 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11942(a,1),2862(a,1,1,1)),flip(a)]. 11944 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6722(a,1),11943(a,2,1))]. 11945 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5795(a,1),11944(a,1,2,2))]. 11946 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8034(a,1),11945(a,1,2))]. 11947 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(7987(a,1),11946(a,1,2)),flip(a)]. 11948 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(8185,a,11947,a(flip)),flip(a)]. 11950 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11948(a,1),6390(a,1,2,1))]. 11951 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11948(a,2),6665(a,1,2,1))]. 11952 (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(198,a,7489,a(flip),b,6797,a)]. 11953 (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(198,a,8646,a(flip),b,11952,a)]. 11954 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10214(a,1),11953(a,2,2))]. 11955 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6357(a,1),11954(a,1,1))]. 11956 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6792(a,1),11955(a,1,2))]. 11957 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(198,a,9794,a(flip),b,11956,a(flip)),flip(a)]. 11958 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8302(a,1),11957(a,1,2))]. 11959 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11635(a,1),11958(a,1,2))]. 11960 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11875(a,1),11958(a,1,2))]. 11962 (x / y) * R(y,z,y) = x * a(y,z,y). [para(281(a,1),11959(a,2,2,3))]. 11964 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(77,a,11962,a)]. 11965 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(198,a,8459,a,b,11962,a(flip)),flip(a)]. 11966 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(17,a,11959,a(flip),b,11962,a(flip)),flip(a)]. 11967 (x * y) * a(y,z,y) = x * R(y,z,y). [para(15(a,1),11962(a,1,1)),flip(a)]. 11968 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(11962(a,1),1686(a,1,1))]. 11969 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4236(a,1),11962(a,1,2))]. 11970 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(11962(a,2),8883(a,1,2))]. 11971 R(x / y,y,a(y,z,y)) = x / y. [hyper(8678,a,11964,a)]. 11973 R((x * y) / y,y,a(y,z,y)) = x. [hyper(198,a,15,a(flip),b,11971,a)]. 11974 R(x,y,a(y,z,y)) = x. [para(15(a,1),11973(a,1,1))]. 11977 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(11974(a,1),630(a,1,1,1)),flip(a)]. 11978 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),11965(a,1,2)),flip(a)]. 11979 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(11965(a,1),1107(a,1,2))]. 11981 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(71,a,11967,a)]. 11982 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(11967(a,1),400(a,1,2,2))]. 11983 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(11967(a,1),10487(a,1,1))]. 11984 (x * y) * a(y,z,y) != u | x * R(y,z,y) = u. [para(11981(a,1),212(a,1,2)),flip(b)]. 11990 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(11466(a,1),11969(a,1,2))]. 11991 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(198,a,10479,a(flip),b,11983,a)]. 11993 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(198,a,11127,a(flip),b,11970,a(flip)),flip(a)]. 11995 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(11993(a,1),7054(a,1,2))]. 11996 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(4949,a,11995,a),flip(a)]. 11997 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(11967(a,1),11977(a,2,2))]. 11998 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(198,a,11968,a(flip),b,11997,a)]. 12000 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(11181(a,1),11998(a,1,1))]. 12002 L(x,a(x,y,x),z) = x. [para(11973(a,1),12000(a,1,3))]. 12003 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(12002(a,1),398(a,1,2,1))]. 12004 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4450(a,1),11990(a,1,2,1)),flip(a)]. 12005 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(157(a,1),8274(a,1,1)),flip(a)]. 12006 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(7773(a,1),12005(a,2,1,1))]. 12007 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(198,a,40,a,b,12006,a)]. 12008 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(198,a,9775,a(flip),b,12007,a(flip))]. 12010 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(6195(a,1),8980(a,2,1,1))]. 12011 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5245(a,1),12010(a,2,1))]. 12013 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(8978(a,1),12011(a,1,2,1))]. 12014 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10443(a,1),12013(a,1,2,1))]. 12015 (T(x,y) \ 1) \ ((x \ 1) * z) = K(y,x) \ z. [hyper(520,a,12014,a)]. 12016 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [hyper(198,a,6196,a,b,12014,a(flip)),flip(a)]. 12017 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(12014(a,1),6198(a,1,2))]. 12019 L(x,y \ 1,K(z,y)) = x. [hyper(5386,a,12016,a)]. 12020 L(x,y,K(z,y \ 1)) = x. [hyper(198,a,10540,a(flip),b,12019,a(flip)),flip(a)]. 12022 L(x,y \ (y / z),K(u,z)) = x. [para(6464(a,1),12020(a,1,3))]. 12023 (K(x,y) \ (z \ (z / x))) * u = K(y,x) * ((z \ (z / x)) * u). [para(12022(a,1),5298(a,1,2))]. 12024 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(198,a,4384,a(flip),b,12017,a(flip)),flip(a)]. 12026 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(198,a,4465,a(flip),b,12024,a(flip)),flip(a)]. 12030 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(12026(a,1),11042(a,1,2,1))]. 12031 K(x,y) * ((z \ (z / y)) * u) = (z \ (z / T(y,x))) * u. [para(11829(a,1),12023(a,1,1)),flip(a)]. 12032 K(x,y) \ ((z \ (z / x)) * u) = (z \ (z / T(x,y))) * u. [hyper(5307,a,12031,a)]. 12033 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(198,a,6466,a(flip),b,12030,a(flip))]. 12035 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(198,a,11526,a(flip),b,12033,a(flip)),flip(a)]. 12036 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(198,a,11478,a(flip),b,12035,a(flip))]. 12037 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(198,a,6655,a(flip),b,12036,a(flip))]. 12038 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(10078,a,12037,a),flip(a)]. 12039 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(11724,a,12038,a),flip(a)]. 12040 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11724,a,12039,a),flip(a)]. 12041 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11369(a,1),12040(a,2,2))]. 12042 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(198,a,11927,a(flip),b,12041,a(flip))]. 12043 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(198,a,11785,a(flip),b,12042,a(flip))]. 12045 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [hyper(198,a,6212,a(flip),b,12043,a(flip)),flip(a)]. 12046 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(198,a,5800,a(flip),b,12043,a(flip)),flip(a)]. 12047 1 / ((T(x,y) / z) \ x) = K(x,y) / z. [hyper(271,a,12045,a),flip(a)]. 12049 (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. [para(12045(a,1),191(a,1,2)),flip(b)]. 12050 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(12046(a,1),6907(a,2,1))]. 12051 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(198,a,4875,a(flip),b,12050,a)]. 12053 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(10421(a,1),12051(a,2,2))]. 12054 (1 / x) \ K(y,z) != u | (y / x) \ T(y,z) = u. [para(60(a,1),12049(a,1,1,2))]. 12055 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6645(a,1),12053(a,1,1))]. 12056 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(11037(a,1),9017(a,1,1,2))]. 12057 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8845(a,1),12056(a,1,1))]. 12058 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(42(a,2),12057(a,1,2))]. 12059 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(180(a,1),12058(a,1,2,1))]. 12060 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(198,a,9019,a(flip),b,12059,a(flip)),flip(a)]. 12061 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(9951(a,1),9954(a,1,2,1,1)),flip(a)]. 12062 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(198,a,2525,a(flip),b,12061,a)]. 12064 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1038(a,1),12062(a,2,1))]. 12065 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1038(a,1),12064(a,1,1))]. 12066 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(12065(a,1),11717(a,1,2,2))]. 12068 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),11567(a,2,1,1))]. 12069 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(198,a,9671,a(flip),b,12068,a)]. 12071 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),12069(a,1,1,1))]. 12072 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),12071(a,1,2,2))]. 12073 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5882(a,1),12072(a,1,2,1,3))]. 12074 (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(9846(a,1),11799(a,1,2))]. 12075 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(4161(a,1),12074(a,1,2)),flip(a)]. 12076 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),12075(a,2,2))]. 12077 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(198,a,8792,a(flip),b,12076,a)]. 12078 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(11737(a,1),12077(a,2,1))]. 12079 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(198,a,7049,a(flip),b,12078,a)]. 12080 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7093(a,1),12079(a,1,2,3))]. 12081 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4106(a,1),12080(a,1,2,3))]. 12082 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(198,a,11926,a,b,12081,a(flip)),flip(a)]. 12083 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11690(a,1),12082(a,1,1))]. 12084 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2978(a,1),12083(a,1,2)),flip(a)]. 12085 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(198,a,5281,a(flip),b,12084,a)]. 12086 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11737(a,1),12085(a,2,1))]. 12087 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(198,a,4937,a,b,12086,a)]. 12093 (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4524(a,1),4622(a,1,1,2))]. 12094 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(7002(a,1),7003(a,2,2,1,1))]. 12095 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(60(a,1),12094(a,2,2,1))]. 12097 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(198,a,3736,a(flip),b,12095,a)]. 12098 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(60(a,1),12097(a,1,1,2,1))]. 12099 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3736(a,1),12098(a,1,1))]. 12100 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6445,a,12099,a)]. 12101 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(12100(a,1),11577(a,1,1,1))]. 12102 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(690,a,12101,a)]. 12103 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(102(a,1),12102(a,1,1,2))]. 12104 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),12103(a,1,1)),flip(a)]. 12105 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(198,a,11180,a(flip),b,12104,a),flip(a)]. 12106 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(24(a,2),12105(a,2,1,1)),flip(a)]. 12107 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12106(a,1),57(a,1,2))]. 12108 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(12107(a,1),189(a,1,1)),flip(b)]. 12109 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(7679(a,1),8967(a,2,1))]. 12110 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(198,a,4779,a(flip),b,9024,a(flip))]. 12112 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(198,a,3577,a(flip),b,12110,a)]. 12113 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2581(a,1),12112(a,1,2,1)),flip(a)]. 12115 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(198,a,10240,a(flip),b,10288,a(flip)),flip(a)]. 12116 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11259,a,12115,a)]. 12119 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10205(a,1),12116(a,2,2,2))]. 12120 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),12119(a,2,2,2,1))]. 12121 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),12120(a,2,2))]. 12123 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(198,a,10226,a(flip),b,12121,a)]. 12124 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(198,a,11260,a(flip),b,12123,a(flip))]. 12125 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(12123(a,1),4441(a,1))]. 12127 (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(5281(a,1),11095(a,1,1,2))]. 12128 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(10806(a,1),11236(a,1,2,1,1))]. 12129 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [hyper(198,a,4530,a(flip),b,12093,a(flip)),flip(a)]. 12130 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(198,a,8266,a(flip),b,12109,a)]. 12131 ((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(8502(a,1),12127(a,1,1))]. 12132 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(198,a,11235,a(flip),b,12128,a(flip))]. 12133 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9736,a,12132,a),flip(a)]. 12134 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(8605,a,12133,a)]. 12135 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(9282,a,12134,a),flip(a)]. 12136 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(12135(a,1),10906(a,1,1))]. 12137 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(198,a,10961,a(flip),b,12136,a(flip)),flip(a)]. 12138 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11341,a,12137,a),flip(a)]. 12139 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(198,a,7014,a(flip),b,12138,a(flip))]. 12140 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),12139(a,1,2,1)),flip(a)]. 12141 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(447(a,1),12140(a,2,2,1))]. 12142 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5335(a,1),12140(a,1,1)),flip(a)]. 12144 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11448(a,1),12140(a,1,1))]. 12145 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(12142(a,1),12144(a,1,1)),flip(a)]. 12146 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5787(a,1),12141(a,1,1))]. 12147 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(4754,a,12129,a),flip(a)]. 12148 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3672,a,12147,a)]. 12150 a(x,y,1 / z) = a(x,y,z \ 1). [para(683(a,1),12148(a,1,3)),flip(a)]. 12152 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [para(2755(a,1),12148(a,1,3)),flip(a)]. 12153 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(198,a,4755,a,b,12152,a(flip)),flip(a)]. 12154 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4637(a,1),12152(a,1,3))]. 12156 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2583(a,1),12153(a,1,1,1,2,2))]. 12157 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4132(a,1),4035(a,1,1,2)),flip(a)]. 12158 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(198,a,1724,a(flip),b,12157,a)]. 12159 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4031(a,1),12158(a,1,3))]. 12160 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(12159(a,1),6975(a,1,1,1))]. 12161 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(12159(a,1),12160(a,1,2))]. 12162 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(242,a,12161,a)]. 12163 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(198,a,4598,a(flip),b,12162,a(flip)),flip(a)]. 12164 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(12163(a,1),147(a,1,2))]. 12165 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(60(a,1),4056(a,1,1,2))]. 12166 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),12165(a,1,1))]. 12167 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2888(a,1),12166(a,1,1))]. 12168 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(60(a,1),12167(a,1,2,2,2))]. 12169 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),12168(a,1,2,2))]. 12170 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2888(a,1),12169(a,1,2,2))]. 12171 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),12170(a,1,2))]. 12173 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(12171(a,1),10725(a,1,1)),flip(a)]. 12174 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(12173(a,1),60(a,1,1))]. 12175 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(198,a,3204,a(flip),b,12174,a(flip)),flip(a)]. 12176 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(9200(a,1),6153(a,1,3))]. 12178 (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(7731(a,1),8382(a,1,1,2))]. 12179 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(6280(a,1),9611(a,1,1)),flip(a)]. 12180 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(198,a,5378,a(flip),b,12179,a)]. 12182 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(198,a,4944,a(flip),b,12180,a)]. 12183 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6280(a,1),12182(a,1,2))]. 12184 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(198,a,9137,a(flip),b,12183,a(flip)),flip(a)]. 12186 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(198,a,11725,a(flip),b,12184,a)]. 12187 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(12186(a,1),4970(a,1,1))]. 12188 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(12186(a,1),5081(a,1,1))]. 12189 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(198,a,12087,a(flip),b,12188,a)]. 12190 (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(5281(a,1),10970(a,1,1,2,2))]. 12191 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(7947(a,1),12178(a,1,1)),flip(a)]. 12192 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(7094(a,2),12191(a,2,2))]. 12193 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(198,a,7415,a(flip),b,12192,a)]. 12194 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(7733(a,1),12193(a,1,1))]. 12195 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(198,a,6295,a(flip),b,12194,a(flip))]. 12197 (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(4223(a,1),12190(a,1,1,2))]. 12198 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(11163(a,1),12197(a,1,2))]. 12199 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10943(a,1),12198(a,1,2))]. 12201 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5281(a,1),12199(a,2,2,1,1))]. 12202 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7779(a,1),12201(a,2,2,1))]. 12203 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7566(a,2),12202(a,2,2))]. 12204 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),12203(a,2,2,1))]. 12205 ((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(12204(a,1),5983(a,1,1,2))]. 12206 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6273(a,1),6358(a,2,2,1,1))]. 12207 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(5090(a,1),12206(a,2,2,1))]. 12210 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),6784(a,2,2,1,2))]. 12211 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(198,a,161,a(flip),b,12210,a)]. 12212 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(161(a,1),12211(a,1,2))]. 12213 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5281(a,1),12212(a,1,2,2))]. 12214 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(198,a,2525,a(flip),b,12213,a)]. 12215 (T(x \ (x / y),(x \ (x / y)) \ 1) * T(x,y \ 1)) \ z = (x / y) \ (K(x \ (x / y),(x / y) \ x) \ z). [para(2295(a,1),6862(a,2,2,1))]. 12216 (T(x \ (x / y),(x \ (x / y)) \ 1) * T(x,y \ 1)) \ z = (x / y) \ (K(x \ (x / y),y) \ z). [para(60(a,1),12215(a,2,2,1,2))]. 12217 (T(x \ (x / y),(x \ (x / y)) \ 1) * T(x,y \ 1)) \ z = (x / y) \ (((y \ 1) * y) \ z). [para(3190(a,1),12216(a,2,2,1))]. 12218 (x / y) \ (((y \ 1) * y) \ z) = ((((x \ (x / y)) \ 1) \ 1) * T(x,y \ 1)) \ z. [para(107(a,1),12217(a,1,1,1)),flip(a)]. 12220 (x / y) \ (((y \ 1) * y) \ z) = ((x \ (x / ((y \ 1) \ 1))) * T(x,y \ 1)) \ z. [para(2742(a,1),12218(a,2,1,1))]. 12221 (x / y) \ (((y \ 1) * y) \ z) = (x / ((y \ 1) \ 1)) \ z. [para(5530(a,1),12220(a,2,1))]. 12222 R(x,(((y / z) \ 1) \ 1) \ (((z \ 1) * z) \ u),w) = R(x,(y / ((z \ 1) \ 1)) \ u,w). [para(12221(a,1),10718(a,2,2))]. 12223 R(x,(((y / z) \ 1) \ ((z \ 1) * z)) \ u,w) = R(x,(y / ((z \ 1) \ 1)) \ u,w). [para(6850(a,1),12222(a,1,2))]. 12224 (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(1978(a,1),10401(a,1,1))]. 12225 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(198,a,8269,a(flip),b,12224,a)]. 12227 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(12225(a,1),14(a,1,2))]. 12228 (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(12227(a,1),12131(a,1,1))]. 12229 (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(11094(a,1),12228(a,1,2))]. 12230 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1078,a,12229,a)]. 12231 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(198,a,5281,a(flip),b,12230,a)]. 12232 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(198,a,8442,a,b,12231,a(flip)),flip(a)]. 12233 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3025,a,12232,a),flip(a)]. 12234 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(8616,a,12233,a),flip(a)]. 12236 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(8606,a,12234,a),flip(a)]. 12238 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(12236(a,1),10512(a,1,1))]. 12239 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(5249,a,12238,a)]. 12240 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10451(a,1),12238(a,1,2,2))]. 12241 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(10227,a,12239,a)]. 12243 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12239(a,1),10227(a,1))]. 12244 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10231(a,1),12240(a,1,2))]. 12245 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5295,a,12244,a)]. 12246 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(12244(a,1),5295(a,1)),flip(b)]. 12247 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12243,a,12245,a)]. 12249 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(198,a,11398,a(flip),b,12245,a(flip)),flip(a)]. 12251 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(12249(a,1),6158(a,1,1))]. 12253 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12247(a,1),10736(a,1,1)),flip(a)]. 12254 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(12253(a,1),12106(a,1,1))]. 12256 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(12108,a,12254,a),flip(a)]. 12257 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(12254(a,1),12108(a,1))]. 12258 (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(198,a,9598,a,b,12256,a),flip(a)]. 12259 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(12241(a,2),12246(a,1))]. 12260 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(6744(a,1),12258(a,1,1,2))]. 12261 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(556(a,1),12260(a,1,1))]. 12262 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(162(a,1),12261(a,1,2)),flip(a)]. 12263 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(198,a,1146,a(flip),b,12262,a)]. 12264 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),12263(a,2,3))]. 12265 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(12257,a,12264,a)]. 12266 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(12259,a,12265,a)]. 12268 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(198,a,12124,a(flip),b,12266,a(flip))]. 12270 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(198,a,11572,a,b,12268,a(flip)),flip(a)]. 12271 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9630,a,12270,a)]. 12273 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12271(a,1),12004(a,1,2)),flip(a)]. 12274 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(32(a,2),12273(a,2,2,2))]. 12275 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10333(a,1),12274(a,2,2))]. 12276 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(198,a,11960,a(flip),b,12275,a(flip)),flip(a)]. 12277 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(281(a,1),12276(a,1,2,3))]. 12278 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(278,a,12277,a),flip(a)]. 12279 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(198,a,12271,a(flip),b,12278,a(flip))]. 12280 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12279(a,1),10335(a,1,1))]. 12281 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(198,a,10325,a(flip),b,12280,a(flip)),flip(a)]. 12282 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(7563(a,1),11922(a,2,1))]. 12283 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),12282(a,2,1))]. 12284 T(1 / x,(1 / x) \ 1) \ (L(1 / (1 / x),y,z) \ u) = T(x \ 1,x) \ (L(x,y,z) \ u). [hyper(198,a,5213,a(flip),b,12283,a)]. 12285 R(x,T(y,z),T(K(y,u),w)) * (K(y,z) * T(T(y,u),K(u,w))) = (x * T(y,z)) * T(T(K(y,u),w),T(y,z)). [para(3117(a,1),8509(a,1,1,3))]. 12287 (x * T(y,z)) * T(T(K(y,u),w),T(y,z)) = x * (K(y,z) * T(T(y,u),K(u,w))). [para(7856(a,1),12285(a,1,1)),flip(a)]. 12288 (x * T(y,z)) * T(T(K(y,u),w),T(y,z)) = x * (T(K(y,u),w) * T(y,z)). [para(7559(a,1),12287(a,2,2))]. 12289 (x * T(y,z)) * T(K(y,u),w) = x * (T(K(y,u),w) * T(y,z)). [para(3117(a,1),12288(a,1,2))]. 12290 (x \ y) * (T(K(x,z),y) * T(x,u)) = K(x,z) * ((x \ y) * T(x,u)). [hyper(8146,a,12289,a),flip(a)]. 12292 K(x,y) * ((x \ z) * T(x,z)) = (x \ z) * T(T(x,z),y). [para(7178(a,1),12290(a,1,2)),flip(a)]. 12293 K((T(x,y) / z) / (x / z),u) * ((((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * K((z \ 1) \ (x / z),y)) = (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u). [para(7286(a,1),12292(a,1,2,2))]. 12294 T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). [para(7650(a,1),10130(a,1,1,1))]. 12295 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(4087(a,1),12294(a,1,1)),flip(a)]. 12296 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(198,a,9184,a(flip),b,12295,a)]. 12298 (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(198,a,430,a(flip),b,10599,a)]. 12299 (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(198,a,1611,a(flip),b,12298,a(flip)),flip(a)]. 12300 (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(5290(a,1),12299(a,1,1,2,1))]. 12301 (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(5738(a,1),12300(a,1,1,2,1))]. 12302 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(7849(a,1),12301(a,1,1,2,1)),flip(a)]. 12303 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(198,a,4218,a(flip),b,12302,a(flip))]. 12305 (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(12303(a,1),1124(a,2,1,2)),flip(a)]. 12306 (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(5281(a,1),12305(a,1,1))]. 12307 (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(11156(a,1),12306(a,1,1))]. 12308 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(254,a,12307,a)]. 12311 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(198,a,6937,a(flip),b,12308,a(flip)),flip(a)]. 12312 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(198,a,7221,a(flip),b,12311,a)]. 12313 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(198,a,9249,a(flip),b,12312,a(flip))]. 12315 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(198,a,11068,a(flip),b,12313,a)]. 12316 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(8633,a,12315,a)]. 12318 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(5124(a,1),12214(a,2,1,2,1))]. 12319 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(10144(a,1),12318(a,2,1))]. 12320 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(5923(a,1),12319(a,1,2,2,2,1))]. 12321 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(5425,a,12320,a)]. 12322 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(198,a,11192,a(flip),b,12321,a(flip)),flip(a)]. 12323 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6303(a,1),12322(a,1,3)),flip(a)]. 12324 a(x,y,a(z,u,K(y,w))) = 1. [hyper(34,a,12323,a)]. 12325 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7819(a,1),12324(a,1,3,3))]. 12326 (K(x,x * y) * K(x,T(x * y,z))) \ (T(K(x,x * y),z) * T(x,y)) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(7094(a,2),5438(a,1,1,2))]. 12327 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(8644(a,1),8648(a,1,1,2,1,1)),flip(a)]. 12328 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),12327(a,2,1,2,1))]. 12330 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(8644(a,1),12328(a,1,1)),flip(a)]. 12331 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(1805(a,1),12330(a,2,2))]. 12332 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(198,a,9861,a,b,12331,a(flip)),flip(a)]. 12333 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(12331(a,1),11601(a,1,1))]. 12334 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(255,a,12332,a)]. 12335 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(5287(a,1),12333(a,1,1,2))]. 12336 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(198,a,8651,a(flip),b,12335,a(flip))]. 12337 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4738,a,12336,a)]. 12339 K(x,a(K(y,z),u,u \ 1)) = 1. [para(12337(a,1),10658(a,1,2))]. 12340 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(37,a,12339,a)]. 12341 T(x,a(K(y,z),u \ 1,u)) = x. [para(3676(a,1),12340(a,1,2))]. 12342 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(35,a,12341,a)]. 12343 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(198,a,3661,a,b,12342,a)]. 12344 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5293(a,2),12343(a,1,1))]. 12345 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(198,a,10119,a,b,12344,a(flip)),flip(a)]. 12346 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(198,a,7126,a,b,12345,a(flip)),flip(a)]. 12347 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(10726,a,12346,a)]. 12348 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2705(a,1),12347(a,1,2,2))]. 12349 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(198,a,7733,a,b,12348,a)]. 12350 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(12348(a,1),7717(a,1,2)),flip(a)]. 12351 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(440(a,1),12349(a,1,2,2))]. 12352 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5656(a,2),12351(a,1,2))]. 12353 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5659(a,1),12351(a,1,2)),flip(a)]. 12354 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(9169(a,1),12352(a,1,2)),flip(a)]. 12355 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8115,a,12353,a)]. 12356 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(7761,a,12353,a)]. 12357 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7174(a,1),12353(a,1,2)),flip(a)]. 12358 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(12354(a,1),7729(a,1,2))]. 12359 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),12355(a,2,2,2))]. 12360 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(5674(a,2),12355(a,1,2))]. 12361 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(7713,a,12359,a)]. 12362 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(12360(a,1),11761(a,1,3))]. 12363 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(198,a,8013,a(flip),b,12361,a(flip)),flip(a)]. 12365 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(12363(a,1),9701(a,1,1))]. 12366 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(12363(a,1),10087(a,1,1))]. 12367 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7733(a,1),12366(a,1,1))]. 12369 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(198,a,8849,a(flip),b,12367,a(flip)),flip(a)]. 12370 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(57(a,1),12369(a,1,2,2,2))]. 12371 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7758,a,12365,a)]. 12372 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(57(a,1),12365(a,1,2)),flip(a)]. 12374 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7678(a,1),12371(a,1,1))]. 12375 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7715(a,1),12372(a,2,1))]. 12376 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9703,a,12374,a)]. 12377 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(12375(a,1),60(a,1,1))]. 12378 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(11592(a,1),12376(a,1,1,1,1))]. 12379 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(198,a,5023,a,b,12377,a(flip)),flip(a)]. 12380 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,12379,a)]. 12381 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),12380(a,1,3))]. 12382 a(K(K(x,y),z),u,u \ z) = 1. [para(6062(a,2),12380(a,1,1))]. 12383 a(K(x,K(y,z * u)),z,u) = 1. [para(7678(a,1),12381(a,1,1))]. 12384 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(198,a,7753,a,b,12382,a)]. 12385 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(198,a,7683,a(flip),b,12350,a)]. 12386 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(12370(a,1),12384(a,2,2))]. 12387 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(198,a,7707,a(flip),b,12358,a(flip))]. 12388 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7094(a,2),12387(a,2,1))]. 12389 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8092(a,1),12388(a,2,1))]. 12390 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(12389(a,2),7391(a,1,1))]. 12391 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7715(a,2),12386(a,2,2))]. 12392 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(6062(a,1),12391(a,1,1))]. 12393 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5241(a,2),12378(a,1,1))]. 12394 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(7917,a,12393,a)]. 12395 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(198,a,12356,a(flip),b,12394,a(flip)),flip(a)]. 12396 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),12395(a,1,2,2)),flip(a)]. 12397 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(12396(a,1),7705(a,1))]. 12398 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(2931(a,1),9602(a,2,1,2))]. 12399 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(582(a,1),12398(a,1,1,2,2))]. 12400 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3202(a,1),12399(a,1,1,2))]. 12401 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(198,a,5551,a(flip),b,12400,a(flip))]. 12402 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = ((K(y,w) * u) * z) \ ((K(y,w) * u) * (z * K(x,y))). [para(102(a,1),11153(a,2,1))]. 12403 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = L(K(x,y),z,K(y,w) * u). [hyper(198,a,28,a,b,12402,a)]. 12404 L(K(x,y),z,K(y,u) * w) = L(K(x,y),z,w). [hyper(198,a,7365,a(flip),b,12403,a(flip))]. 12406 L(K(x,y \ z),u,(y \ z) * y) = L(K(x,y \ z),u,z). [para(4852(a,1),12404(a,1,3))]. 12407 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(11723,a,12406,a),flip(a)]. 12408 L(K(x,x \ y),z,y) = K(x,R(x \ y,x,z)). [hyper(198,a,11293,a(flip),b,12406,a(flip))]. 12410 R(K(x,x \ y),y,z) = L(K(x,x \ y),z,y). [hyper(198,a,10575,a,b,12408,a),flip(a)]. 12411 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(198,a,11335,a,b,12410,a(flip)),flip(a)]. 12412 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(12411(a,1),9739(a,1,2))]. 12413 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [para(12407(a,1),12412(a,1,2)),flip(a)]. 12414 (x * K(y,y \ z)) \ (x * (y * (z / y))) = z. [hyper(65,a,10872,a(flip),b,12413,a)]. 12416 L(x,K(y,y \ x),z) = x. [hyper(5325,a,12414,a)]. 12417 K(x,y * (z / y)) \ ((y * (z / y)) / z) = T(y * (z / y),x) / z. [para(12416(a,1),5970(a,1,2)),flip(a)]. 12418 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(4610(a,1),11539(a,1,1))]. 12420 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(6157(a,1),12418(a,1,2,1,2))]. 12421 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2898,a,12420,a)]. 12422 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(65,a,12420,a(flip),b,2882,a(flip))]. 12424 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(198,a,6226,a,b,12421,a),flip(a)]. 12425 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(2846,a,12422,a)]. 12426 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2178,a,12424,a)]. 12427 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(12425(a,1),3725(a,2,1)),flip(a)]. 12428 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4525(a,1),12427(a,1,2))]. 12429 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4810(a,1),12428(a,1,2))]. 12430 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(198,a,11271,a(flip),b,12429,a(flip))]. 12432 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(140(a,1),12430(a,1,2,2,1))]. 12433 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(12432(a,1),4599(a,1,2))]. 12434 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(12433(a,1),7659(a,2,1))]. 12435 (K(x * y,x) \ K(x,T(x * y,z))) \ (T(K(x,x * y),z) * T(x,y)) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(5281(a,2),12326(a,1,1))]. 12436 (K(x * y,x) \ K(x,T(x * y,z))) \ (K(x,T(x * y,z)) * T(x,y)) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(7094(a,2),12435(a,1,2,1))]. 12437 (K(x * y,x) \ K(x,T(x * y,z))) \ (K(x * y,T(x,z)) \ T(x,y)) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(7198(a,2),12436(a,1,2))]. 12438 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),6690(a,1,1,1)),flip(a)]. 12439 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(198,a,7099,a(flip),b,12438,a)]. 12441 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(9541,a,12439,a(flip)),flip(a)]. 12442 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7577,a,12441,a)]. 12443 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(198,a,9733,a(flip),b,12442,a(flip)),flip(a)]. 12444 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9543,a,12443,a)]. 12445 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(8613,a,12444,a),flip(a)]. 12447 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(198,a,11101,a(flip),b,12445,a(flip)),flip(a)]. 12448 K(x,(y * z) / (R(x,y,z) \ u)) = K(x,((x * y) * z) / u). [para(102(a,1),12445(a,1,2,1)),flip(a)]. 12449 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6536,a,12447,a),flip(a)]. 12450 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(198,a,9530,a,b,12449,a(flip)),flip(a)]. 12451 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(198,a,11593,a,b,12450,a(flip)),flip(a)]. 12452 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),12451(a,2,2,1))]. 12453 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(198,a,8974,a(flip),b,12452,a(flip))]. 12455 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(5281(a,1),9939(a,1,1,1))]. 12456 L(T((x / y) \ 1,x) \ 1,(x / y) \ 1,T(y * (x / y),(x / y) \ 1)) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(6008(a,1),11388(a,1,1,1))]. 12457 L(T((x / y) \ 1,x) \ 1,(x / y) \ 1,y * (T(x,(x / y) \ 1) / y)) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(4650(a,1),12456(a,1,3))]. 12458 L(T((x / y) \ 1,x) \ 1,(x / y) \ 1,y * (T(x,x \ y) / y)) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(4027(a,1),12457(a,1,3,2,1))]. 12459 L(T((x / y) \ 1,x) \ 1,(x / y) \ 1,(x \ y) \ T(y,y \ x)) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(5953(a,2),12458(a,1,3))]. 12460 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(4879(a,1),4958(a,2,2,1,1,1))]. 12461 x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(4879(a,1),12460(a,1,1))]. 12462 x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5738(a,1),12461(a,1,2,1))]. 12463 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5281(a,1),12462(a,1,2,2))]. 12464 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). [para(5281(a,1),12463(a,2,2,1,2))]. 12465 x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(8736(a,2),12464(a,2,1))]. 12466 x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(7049(a,1),12465(a,1,2,2))]. 12467 x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(6275(a,1),12466(a,1,2))]. 12468 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). [para(10484(a,1),12467(a,1,2,2)),flip(a)]. 12469 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [hyper(198,a,13,a(flip),b,12468,a)]. 12471 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(8736(a,1),12469(a,1,1))]. 12472 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). [para(7049(a,1),12471(a,1,2,1,2))]. 12473 (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). [para(7263(a,1),12472(a,1,2,1))]. 12474 T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). [hyper(18,a,4816,a,b,12473,a),flip(a)]. 12476 T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). [para(632(a,1),12474(a,1,2))]. 12477 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(198,a,6170,a(flip),b,12476,a(flip)),flip(a)]. 12478 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7172(a,1),12477(a,1,2))]. 12479 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12478(a,1),6244(a,1,1)),flip(a)]. 12480 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(198,a,4816,a(flip),b,12479,a)]. 12481 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(198,a,5940,a(flip),b,5508,a(flip))]. 12483 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(198,a,6171,a(flip),b,12481,a(flip)),flip(a)]. 12484 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(198,a,10297,a(flip),b,12483,a(flip)),flip(a)]. 12485 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(15(a,1),12484(a,1,2,1))]. 12486 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(198,a,9388,a(flip),b,12485,a(flip)),flip(a)]. 12487 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(198,a,9291,a(flip),b,12486,a)]. 12488 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(198,a,10640,a(flip),b,12487,a(flip)),flip(a)]. 12489 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(9245,a,12488,a),flip(a)]. 12491 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(198,a,7664,a(flip),b,12489,a)]. 12492 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(198,a,12401,a,b,12491,a(flip)),flip(a)]. 12494 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12492(a,1),10126(a,1,1,1))]. 12495 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(198,a,8145,a(flip),b,12494,a(flip))]. 12497 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),12495(a,1,3,2)),flip(a)]. 12498 (1 / ((x * y) / x)) \ T(1 / y,1 / (1 / ((x * y) / x))) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(9710(a,1),7486(a,2,1))]. 12499 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3350(a,1),12498(a,1,2))]. 12500 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(5347(a,1),12499(a,1,2)),flip(a)]. 12501 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(198,a,11600,a(flip),b,12500,a)]. 12503 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5281(a,1),8477(a,1,2,1))]. 12504 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5281(a,1),12503(a,1,2,2,1,1))]. 12505 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(792(a,1),12504(a,1,2))]. 12506 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(8949(a,1),12505(a,1,2))]. 12507 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(198,a,5206,a(flip),b,12506,a(flip))]. 12509 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3096(a,1),12507(a,2,1))]. 12510 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6186(a,1),12509(a,1,1))]. 12511 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(13(a,1),12510(a,1,2))]. 12512 R(K(x,y),K(y,z),u) = K(x,y). [hyper(4743,a,12511,a)]. 12513 L(x,K(y,z),K(u,y)) = x. [hyper(390,a,12511,a)]. 12514 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [hyper(198,a,10763,a,b,12511,a)]. 12515 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(66,a,10760,a(flip),b,12511,a)]. 12516 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(66,a,12511,a(flip),b,4939,a)]. 12517 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(8665(a,1),12511(a,1,1)),flip(a)]. 12518 (K(x,y) * K(y,z)) * u != w | K(x,y) * (K(y,z) * u) = w. [para(12513(a,1),217(a,1,2))]. 12520 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(12512(a,1),2507(a,1,1)),flip(a)]. 12521 T(x,a(y,z,y)) = x. [hyper(10784,a,12517,a)]. 12522 a(x,y,x) * z = z * a(x,y,x). [hyper(198,a,10782,a(flip),b,12517,a(flip))]. 12523 T(a(x,y,x),z) = a(x,y,x). [hyper(150,a,12517,a(flip),b,10782,a(flip))]. 12525 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5818(a,2),12517(a,1,1))]. 12526 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(2174,a,12521,a)]. 12527 x / a(y,z,y) = a(y,z,y) \ x. [hyper(327,a,12521,a),flip(a)]. 12528 K(x,a(y,z,y)) = 1. [hyper(36,a,12521,a)]. 12530 T(x,y \ R(y,z,y)) = x. [para(8661(a,1),12521(a,1,2))]. 12531 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12521(a,1),9567(a,2,1,1))]. 12532 x / (y \ R(y,z,y)) = (y \ R(y,z,y)) \ x. [hyper(327,a,12530,a),flip(a)]. 12535 (a(x,y,x) \ z) \ z = a(x,y,x). [hyper(344,a,12523,a)]. 12536 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(198,a,8663,a,b,12523,a)]. 12537 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(12523(a,1),215(a,1,2))]. 12538 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12523(a,1),162(a,1,2,1)),flip(a)]. 12540 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(9246,a,12522,a),flip(a)]. 12542 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(198,a,11978,a(flip),b,12522,a)]. 12543 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(198,a,11967,a(flip),b,12522,a)]. 12544 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(198,a,9012,a(flip),b,12522,a)]. 12545 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(65,a,12522,a,b,562,a)]. 12546 K(x,y) \ K(x * y,y) = a(y,x,y). [hyper(65,a,8698,a(flip),b,12522,a(flip))]. 12548 (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w. [para(12522(a,1),400(a,1,2))]. 12549 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(12522(a,1),680(a,1,1))]. 12550 (a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = w. [para(12522(a,2),680(a,1,1))]. 12551 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(12522(a,2),11979(a,1,2))]. 12552 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(12522(a,2),11984(a,1))]. 12553 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [para(12526(a,1),10783(a,1,2)),flip(a)]. 12554 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12527(a,1),8880(a,1,2))]. 12555 x / T(a(y,z,y),u) = a(y,z,y) \ x. [para(12523(a,2),12527(a,1,2))]. 12556 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(4537(a,1),12536(a,2,2))]. 12558 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12542(a,1),434(a,1,1,1))]. 12559 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(65,a,16,a(flip),b,12543,a),flip(a)]. 12560 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(66,a,12543,a(flip),b,78,a(flip))]. 12561 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(12543(a,1),255(a,1,1)),flip(b)]. 12562 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(65,a,14,a(flip),b,12551,a),flip(a)]. 12563 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(198,a,8735,a(flip),b,12559,a(flip)),flip(a)]. 12564 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(64,a,12559,a(flip),b,8735,a(flip)),flip(a)]. 12565 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(198,a,12527,a,b,12563,a)]. 12566 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(198,a,7264,a(flip),b,12563,a(flip))]. 12567 a(x,y,x) \ x != z | L(x,y,x) = z. [para(12563(a,1),212(a,1)),flip(b)]. 12568 x * (a(y,z,y) \ 1) = x / a(y,z,y). [para(12564(a,2),12565(a,1,2))]. 12569 (((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(12568(a,1),426(a,1,1,1))]. 12571 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5383(a,1),12525(a,1,2))]. 12573 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. [para(12553(a,2),19(a,2))]. 12574 R(a(x,y,x),x,z) = a(x,y,x). [hyper(12561,a,11937,a),flip(a)]. 12576 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(198,a,427,a,b,12574,a(flip)),flip(a)]. 12577 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(1802(a,2),12514(a,1,1))]. 12578 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5323(a,1),12515(a,1,1))]. 12579 T(x,R(a(y,z,y),u,w)) = x. [hyper(152,a,12538,a)]. 12580 L(x,K(y,z),K(z,u)) = x. [hyper(390,a,12577,a)]. 12581 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(150,a,12577,a,b,14,a),flip(a)]. 12584 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(12577(a,1),6926(a,1,2))]. 12585 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(12577(a,1),10396(a,1,1,1))]. 12586 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(198,a,4141,a(flip),b,12580,a)]. 12587 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(198,a,12008,a(flip),b,12580,a(flip))]. 12588 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(198,a,5936,a(flip),b,12580,a(flip)),flip(a)]. 12589 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5882(a,1),12580(a,1,2))]. 12590 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7099(a,1),12580(a,1,2))]. 12591 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(12580(a,1),8713(a,1,1,1)),flip(a)]. 12592 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(12590(a,1),92(a,1,2))]. 12593 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(12589(a,1),92(a,1,2))]. 12594 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(12586(a,1),8450(a,1,2,3))]. 12595 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(198,a,12060,a(flip),b,12594,a(flip))]. 12596 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(375,a,12587,a)]. 12598 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(7773(a,1),12587(a,1,1))]. 12599 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(198,a,10763,a(flip),b,12588,a)]. 12600 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(198,a,12587,a(flip),b,12596,a(flip))]. 12601 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(1802(a,1),12596(a,2,2))]. 12602 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(8937(a,1),12598(a,1,1,2)),flip(a)]. 12603 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(5072,a,12600,a)]. 12604 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5033,a,12600,a)]. 12605 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12600(a,1),4453(a,1,2))]. 12607 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12601(a,1),9864(a,1,1))]. 12608 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(13(a,1),12573(a,2,2)),flip(b)]. 12609 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(198,a,10001,a(flip),b,12581,a(flip)),flip(a)]. 12610 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5291(a,1),12581(a,1,2,2)),flip(a)]. 12611 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12604(a,1),4927(a,1))]. 12612 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(198,a,10606,a(flip),b,12609,a(flip))]. 12613 K(x,y) * (K(z,x) * u) != w | K(z,x) * (K(x,y) * u) = w. [para(12514(a,1),12518(a,1))]. 12614 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(198,a,11908,a(flip),b,12571,a(flip)),flip(a)]. 12615 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(12587(a,2),12611(a,1))]. 12616 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12596(a,2),12611(a,1))]. 12617 (K(x,y) * K(z,x)) \ u != w | K(y,x) * (K(x,z) * u) = w. [para(12588(a,2),12613(a,1))]. 12618 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(12525(a,1),12614(a,1,2)),flip(a)]. 12619 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(267,a,12618,a),flip(a)]. 12620 T(T(x,K(y,z)),K(z,u)) != w | T(x,K(z,u) * K(y,z)) = w. [para(7777(a,2),12615(a,1))]. 12621 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12497(a,1),12556(a,2,2))]. 12622 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(1802(a,1),12591(a,1,2,2))]. 12623 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4955,a,12607,a),flip(a)]. 12625 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(6940(a,1),12623(a,1,2,2)),flip(a)]. 12626 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(12622(a,1),7424(a,1,1))]. 12628 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5296,a,12584,a),flip(a)]. 12630 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(12628(a,1),11569(a,1,2,1)),flip(a)]. 12631 ((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(12630(a,1),6091(a,1,2,2))]. 12633 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(139(a,2),12578(a,1,2,2,2))]. 12634 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(12588(a,1),12585(a,2,1))]. 12635 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(5124(a,2),12593(a,1,1,2,1))]. 12636 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(12(a,1),12634(a,2,1,2))]. 12637 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(10763(a,1),12636(a,1,1,1))]. 12638 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(9032(a,1),12602(a,2,1))]. 12640 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(198,a,12587,a(flip),b,12638,a)]. 12641 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(8937(a,1),12640(a,1,2,2))]. 12642 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(198,a,12600,a,b,12641,a),flip(a)]. 12643 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(8719,a,12516,a)]. 12644 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7287(a,1),12626(a,1,1,1)),flip(a)]. 12645 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12598(a,1),12644(a,2,1))]. 12646 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(198,a,4865,a,b,12645,a)]. 12647 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5281(a,1),12646(a,1,2))]. 12648 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(198,a,11519,a(flip),b,12643,a(flip)),flip(a)]. 12649 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7779(a,1),12648(a,1,1)),flip(a)]. 12650 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(198,a,12596,a(flip),b,12649,a)]. 12651 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,12604,a,b,12650,a)]. 12652 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(1802(a,2),12650(a,1,2,1))]. 12653 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(198,a,12623,a,b,12651,a(flip)),flip(a)]. 12654 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(1802(a,2),12651(a,1,1))]. 12655 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(1802(a,1),12654(a,2,2))]. 12656 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,4924,a(flip),b,12652,a)]. 12657 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12652(a,1),12603(a,1,1))]. 12658 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(198,a,12655,a(flip),b,12656,a(flip))]. 12659 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12656(a,1),4924(a,2,2)),flip(a)]. 12660 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(198,a,12656,a,b,12653,a)]. 12661 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(198,a,12392,a,b,12653,a(flip))]. 12662 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(198,a,10781,a,b,12653,a(flip)),flip(a)]. 12663 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(12653(a,2),5047(a,2,2)),flip(a)]. 12664 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(9289(a,1),12653(a,1,1))]. 12665 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(198,a,12383,a(flip),b,12661,a)]. 12666 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(1802(a,1),12665(a,1,2))]. 12667 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),12666(a,1,2,2,2,3))]. 12668 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5091,a,12659,a)]. 12669 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11519(a,1),12668(a,1,1))]. 12670 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(7711(a,1),12662(a,1,2,2,2))]. 12671 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(9289(a,1),12664(a,1,2)),flip(a)]. 12672 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(198,a,12653,a(flip),b,12671,a)]. 12673 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(12671(a,1),9188(a,1))]. 12675 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7387(a,1),12672(a,1,1)),flip(a)]. 12676 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(198,a,12658,a(flip),b,12675,a(flip)),flip(a)]. 12677 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12676(a,1),11616(a,2,2))]. 12678 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(12623(a,1),12673(a,1))]. 12679 K(K(x,y) * K(z,x),u) != w | K(u,K(x,y) * K(z,x)) = w. [para(12660(a,1),12673(a,1))]. 12680 K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. [para(12647(a,2),12679(a,1))]. 12681 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5537,a,12670,a)]. 12682 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7711(a,1),12681(a,1,1))]. 12683 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12523(a,1),12531(a,1,1))]. 12684 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(12521(a,1),12683(a,1,2)),flip(a)]. 12686 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(198,a,10027,a,b,12684,a(flip)),flip(a)]. 12687 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(4893(a,1),12686(a,1,1,2)),flip(a)]. 12688 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4893(a,1),12687(a,2,2))]. 12689 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(12545(a,1),12549(a,1))]. 12691 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(198,a,9714,a(flip),b,12595,a(flip))]. 12692 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(8466(a,1),12691(a,2,2))]. 12693 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(198,a,4282,a(flip),b,12692,a)]. 12694 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9016(a,1),12693(a,1,1,1))]. 12695 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(11037(a,1),12694(a,1,1)),flip(a)]. 12696 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12695(a,1),5276(a,1))]. 12697 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(198,a,1050,a(flip),b,12621,a)]. 12698 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(198,a,1590,a(flip),b,12697,a)]. 12699 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9697(a,1),12698(a,2,1,2))]. 12700 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(198,a,12560,a(flip),b,12699,a)]. 12701 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(12150(a,1),12700(a,1,1))]. 12702 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(198,a,11183,a(flip),b,12701,a(flip)),flip(a)]. 12703 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(198,a,11576,a,b,12702,a(flip)),flip(a)]. 12704 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(8850(a,1),12625(a,2,2))]. 12705 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(198,a,12623,a(flip),b,12704,a)]. 12706 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6940(a,1),12705(a,1,1,2))]. 12707 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(198,a,12511,a(flip),b,12677,a)]. 12709 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5248(a,1),12631(a,1,2)),flip(a)]. 12710 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(198,a,5233,a(flip),b,12709,a)]. 12712 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(198,a,5291,a(flip),b,12710,a)]. 12714 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6089(a,1),12712(a,1,2))]. 12715 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(12512(a,1),12520(a,2,2,1,1))]. 12716 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(5124(a,1),12715(a,2,2,1))]. 12718 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5124(a,1),12716(a,1,1,2,1))]. 12719 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(198,a,5304,a(flip),b,12718,a(flip)),flip(a)]. 12720 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(12718(a,1),422(a,1,1,1)),flip(a)]. 12721 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(12718(a,2),10123(a,1,1))]. 12722 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(12718(a,1),12455(a,1,1))]. 12724 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(7679(a,1),12721(a,1,1,1,2,1))]. 12725 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(8671(a,1),12576(a,1,1,1))]. 12726 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(430(a,1),12725(a,1,1))]. 12727 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11878(a,1),12726(a,1,1))]. 12728 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(12727(a,1),12558(a,1))]. 12729 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(12728,a,12278,a)]. 12730 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),12729(a,1,2)),flip(a)]. 12731 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12730(a,1),10229(a,1,2)),flip(a)]. 12732 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12730(a,1),10241(a,1,2)),flip(a)]. 12733 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(198,a,10451,a(flip),b,12731,a(flip))]. 12734 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10485(a,1),12733(a,1,2,1)),flip(a)]. 12735 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(198,a,12732,a,b,12734,a)]. 12737 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12735(a,1),11879(a,2,1,1))]. 12738 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(7607,a,12722,a)]. 12740 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(198,a,12706,a(flip),b,12738,a(flip)),flip(a)]. 12741 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(12680,a,12740,a),flip(a)]. 12742 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(8848(a,1),12724(a,1,1,1,2))]. 12743 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(12682(a,1),12742(a,1,1,1))]. 12744 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(5185(a,1),5440(a,1,1))]. 12745 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(5185(a,1),12744(a,1,2,1,1)),flip(a)]. 12746 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(5124(a,1),12745(a,2,2,1))]. 12747 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(6912(a,1),12746(a,2,2))]. 12748 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(4873(a,1),12747(a,1,1,1)),flip(a)]. 12749 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(6912(a,1),12748(a,2,1,2))]. 12750 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). [para(5116(a,1),11860(a,1,2)),flip(a)]. 12751 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(16(a,1),3374(a,1,2,1))]. 12752 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(54(a,1),12751(a,1,2))]. 12754 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(189,a,12752,a)]. 12757 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2485(a,1),12754(a,1,1))]. 12758 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(198,a,9825,a(flip),b,12757,a(flip))]. 12759 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(198,a,4811,a(flip),b,12758,a)]. 12760 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(198,a,10525,a(flip),b,12759,a)]. 12761 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12759(a,2),9826(a,1,1))]. 12762 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1038(a,1),12760(a,1,2))]. 12763 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12762(a,1),4916(a,2,1)),flip(a)]. 12764 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(198,a,7733,a,b,12763,a)]. 12765 (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(12763(a,2),7761(a,1))]. 12766 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12761(a,1),12055(a,1,2))]. 12767 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(198,a,6122,a(flip),b,12766,a(flip)),flip(a)]. 12768 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(198,a,10420,a(flip),b,12767,a)]. 12769 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(198,a,12433,a(flip),b,12768,a(flip))]. 12770 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(12768(a,1),60(a,1,1))]. 12771 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12770(a,1),4718(a,1,2,1))]. 12772 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(198,a,10420,a(flip),b,12771,a)]. 12773 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12769(a,1),12772(a,1,1))]. 12774 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(198,a,12434,a,b,12773,a(flip)),flip(a)]. 12775 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6408(a,1),12774(a,1,1))]. 12776 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(198,a,5742,a(flip),b,12775,a(flip))]. 12777 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(198,a,10431,a(flip),b,12776,a(flip)),flip(a)]. 12778 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(12777(a,1),60(a,1,1))]. 12779 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(12778(a,1),2425(a,1,1))]. 12780 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(12779(a,1),6630(a,1,2,1))]. 12781 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(9421,a,12780,a),flip(a)]. 12782 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8522(a,1),8921(a,1,1))]. 12783 x * ((y * a(y,x,T(y,z))) * L((y * a(y,x,T(y,z))) \ (x \ u),w,v5)) = T(y * x,y) * L(T(y * x,y) \ u,w,v5). [para(9634(a,1),9635(a,2,2,1,1))]. 12784 x * (R(y,x,y) * L((y * a(y,x,T(y,z))) \ (x \ u),w,v5)) = T(y * x,y) * L(T(y * x,y) \ u,w,v5). [para(9633(a,1),12783(a,1,2,1))]. 12786 x * (R(y,x,y) * L(R(y,x,y) \ (x \ z),u,w)) = T(y * x,y) * L(T(y * x,y) \ z,u,w). [para(9633(a,1),12784(a,1,2,2,1,1))]. 12788 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(6434(a,1),12633(a,1,2,1))]. 12789 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3872(a,1),12788(a,1,2,2)),flip(a)]. 12790 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8566(a,1),12789(a,2,2))]. 12791 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),12790(a,2,2,1))]. 12792 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(12175(a,1),12791(a,1,1,2))]. 12793 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8391(a,1),12792(a,1,1))]. 12795 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(12175(a,1),12793(a,1,2,1))]. 12796 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(5668(a,1),12795(a,1,2))]. 12797 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7621(a,1),12796(a,1,2))]. 12798 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(6758(a,1),12797(a,1,2)),flip(a)]. 12799 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(198,a,7351,a,b,12798,a)]. 12801 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10948(a,1),12782(a,1,1,2))]. 12802 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7711(a,1),12801(a,1,1))]. 12804 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(9272(a,1),12802(a,1,1,2))]. 12805 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(13(a,1),12804(a,1,1,2,1,2))]. 12806 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7715(a,1),12805(a,1,1))]. 12807 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7771(a,1),12806(a,1,1))]. 12808 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(7762(a,1),12807(a,1,1))]. 12809 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7711(a,1),12808(a,1,1))]. 12810 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9942(a,1),12809(a,1,2))]. 12811 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(8481,a,12810,a)]. 12812 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7172(a,1),12811(a,1,2,1))]. 12813 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(17,a,11026,a(flip),b,12812,a)]. 12814 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(198,a,11559,a(flip),b,12813,a(flip)),flip(a)]. 12816 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(14(a,1),12814(a,1,1,1,2)),flip(a)]. 12817 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(198,a,6101,a,b,12816,a(flip)),flip(a)]. 12818 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(198,a,11205,a,b,12817,a(flip)),flip(a)]. 12819 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5311,a,12818,a)]. 12820 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(198,a,5533,a,b,12819,a(flip)),flip(a)]. 12821 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4301(a,2),12820(a,1,2))]. 12822 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(4025(a,2),12821(a,1,2))]. 12823 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(198,a,347,a(flip),b,12822,a(flip)),flip(a)]. 12824 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(198,a,8708,a(flip),b,12823,a(flip)),flip(a)]. 12825 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(15(a,1),12824(a,1,2,1)),flip(a)]. 12827 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9529(a,1),6199(a,1,1)),flip(a)]. 12828 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(198,a,7268,a,b,12827,a)]. 12830 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(4944(a,1),12828(a,2,1))]. 12831 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9529(a,1),6200(a,1,1)),flip(a)]. 12832 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(198,a,7268,a,b,12831,a)]. 12834 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(4944(a,1),12832(a,2,1))]. 12835 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(198,a,10017,a(flip),b,12834,a)]. 12836 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4251(a,2),12835(a,1,2))]. 12837 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9525(a,1),12836(a,1,2,1))]. 12838 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4248(a,2),12837(a,1,2,1))]. 12840 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(8358(a,1),11950(a,1,1,1))]. 12841 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5795(a,1),11951(a,1,1,1))]. 12842 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(12599(a,1),12663(a,2,1,1))]. 12843 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11948(a,1),12841(a,1,1))]. 12844 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11948(a,1),12843(a,1,2,1))]. 12845 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5795(a,1),12844(a,1,2,2,2))]. 12846 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(198,a,12637,a(flip),b,12842,a)]. 12847 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(12599(a,1),12846(a,1,2,1,1))]. 12848 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(9300(a,1),12847(a,1,2,1))]. 12849 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7733(a,1),12848(a,1,2,1))]. 12851 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(12599(a,1),12849(a,1,2,2,1))]. 12852 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(9300(a,1),12851(a,1,2,2))]. 12854 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12681(a,1),12852(a,1,2))]. 12855 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(12617,a,12854,a)]. 12856 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(198,a,12707,a,b,12855,a(flip)),flip(a)]. 12857 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(198,a,12669,a(flip),b,12856,a(flip)),flip(a)]. 12858 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(6925(a,1),9694(a,1,1,1))]. 12859 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(6929(a,1),12858(a,1,1)),flip(a)]. 12860 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [hyper(198,a,9032,a(flip),b,12859,a)]. 12862 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(6925(a,1),12860(a,1,1))]. 12863 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [hyper(198,a,11248,a,b,12862,a(flip)),flip(a)]. 12864 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6925(a,1),12863(a,1,2,1))]. 12865 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(8852(a,1),12864(a,1,2))]. 12866 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(10046(a,1),12865(a,1,2,2))]. 12868 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(10050(a,1),12866(a,1,2,2))]. 12869 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [hyper(7726,a,12868,a),flip(a)]. 12871 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(7360,a,12869,a)]. 12872 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(12615,a,12871,a),flip(a)]. 12873 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(8061,a,12871,a),flip(a)]. 12874 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(579(a,1),12871(a,1,2,2)),flip(a)]. 12875 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12873(a,1),11498(a,1,2))]. 12876 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(198,a,12385,a(flip),b,12874,a(flip))]. 12878 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7819(a,1),12876(a,1,2)),flip(a)]. 12879 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(7841(a,1),12878(a,1,2)),flip(a)]. 12880 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(5659(a,1),12879(a,1,2)),flip(a)]. 12881 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(198,a,8155,a(flip),b,12880,a(flip))]. 12882 T(x,K(y,(z * (u \ 1)) * u)) = T(x,K(y,z)). [para(15(a,1),12880(a,1,2,2)),flip(a)]. 12883 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(12881(a,1),5049(a,1,1))]. 12884 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [hyper(12620,a,12872,a)]. 12885 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(1802(a,1),12884(a,1,2)),flip(a)]. 12886 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(12611,a,12885,a)]. 12887 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(198,a,4924,a(flip),b,12886,a),flip(a)]. 12888 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,4924,a(flip),b,12887,a),flip(a)]. 12889 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(198,a,12741,a,b,12888,a(flip)),flip(a)]. 12890 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(198,a,12667,a(flip),b,12889,a)]. 12891 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(7607,a,12890,a)]. 12893 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12891(a,1),5052(a,1,1))]. 12894 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(12719(a,1),12893(a,1,2))]. 12895 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(68,a,12894,a)]. 12896 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7732(a,1),12894(a,1,2,1))]. 12897 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5311,a,12895,a)]. 12898 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6912(a,1),12895(a,1,2))]. 12900 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(12895(a,1),8642(a,2,2))]. 12901 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12895(a,1),10123(a,1,1)),flip(a)]. 12902 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(10572(a,1),12895(a,1,2))]. 12903 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12895(a,1),12334(a,1,1,2))]. 12904 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12895(a,1),12642(a,2,2))]. 12905 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12895(a,1),12706(a,1,1)),flip(a)]. 12906 (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(12897(a,1),10436(a,1,1)),flip(a)]. 12907 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(12902(a,1),5228(a,1,2)),flip(a)]. 12908 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(198,a,12207,a,b,12900,a(flip)),flip(a)]. 12909 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(198,a,9144,a,b,12900,a(flip)),flip(a)]. 12910 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5311,a,12901,a)]. 12911 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12895(a,1),12903(a,1,2))]. 12913 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(65,a,107,a(flip),b,12911,a)]. 12914 x * a(K(y,z),u,w) != v5 | v5 * a(K(z,y),u,w) = x. [para(12911(a,1),20(a,1)),flip(a)]. 12915 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(12678,a,12905,a)]. 12918 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12905(a,1),12678(a,1))]. 12919 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(7135,a,12907,a)]. 12920 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(198,a,10785,a(flip),b,12910,a(flip)),flip(a)]. 12921 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(12915(a,1),12743(a,1,1,1))]. 12922 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(12919(a,2),19(a,1))]. 12923 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(198,a,12749,a(flip),b,12898,a(flip)),flip(a)]. 12924 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8849(a,1),12896(a,1,2,2))]. 12925 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12682(a,1),12924(a,1,2))]. 12926 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9585(a,1),12920(a,1,2))]. 12927 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(4949,a,12926,a)]. 12928 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(198,a,9958,a,b,12927,a)]. 12929 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(13(a,1),12908(a,1,2,1,2,1))]. 12931 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6963(a,1),12929(a,1,2))]. 12932 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6431(a,2),12931(a,1,1))]. 12933 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6515(a,1),12932(a,1,2))]. 12934 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(11297(a,1),12875(a,1,2,2))]. 12935 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(4164(a,1),12934(a,2,2))]. 12937 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(7516(a,1),12935(a,1,2))]. 12938 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(198,a,12909,a(flip),b,12906,a)]. 12939 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(300(a,1),12921(a,1,1)),flip(a)]. 12940 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(198,a,9587,a(flip),b,12939,a)]. 12941 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7679(a,1),12940(a,1,2,1,1))]. 12942 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8848(a,1),12941(a,1,2,1))]. 12943 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4937(a,2),12942(a,1,2))]. 12944 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(198,a,12869,a,b,12943,a(flip)),flip(a)]. 12945 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7718(a,1),12944(a,1,1))]. 12946 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(12616,a,12945,a)]. 12947 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(198,a,12904,a(flip),b,12946,a(flip))]. 12948 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4924,a(flip),b,12947,a)]. 12949 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12918,a,12948,a)]. 12950 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12949(a,1),12925(a,1,2))]. 12951 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(68,a,12950,a),flip(a)]. 12952 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(198,a,12948,a,b,12951,a)]. 12953 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7711(a,1),12951(a,1,1))]. 12954 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7711(a,1),12952(a,1,1))]. 12955 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(7679(a,1),12883(a,1,2,1,2))]. 12956 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(7992(a,1),12955(a,1,2,1,2))]. 12957 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(7722(a,1),12956(a,1,2,1,2))]. 12958 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(7908(a,1),12957(a,1,2,1,2))]. 12959 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(5011(a,1),12958(a,1,2,1))]. 12960 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(198,a,5277,a,b,12959,a(flip)),flip(a)]. 12961 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(8011(a,1),12960(a,1,1)),flip(a)]. 12962 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(1235(a,1),12961(a,2,2))]. 12963 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(198,a,7756,a(flip),b,12962,a)]. 12964 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(11246(a,1),11247(a,2,2,1,1))]. 12965 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(198,a,1615,a(flip),b,12964,a)]. 12966 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1823(a,1),12965(a,2,2))]. 12967 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(783(a,1),12966(a,2,2,1))]. 12968 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1060(a,1),12967(a,2,2,1,2))]. 12969 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1615(a,1),12968(a,1,1))]. 12970 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(198,a,9003,a(flip),b,9716,a)]. 12971 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(198,a,7715,a(flip),b,12970,a)]. 12972 (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(4392(a,1),11420(a,1,2)),flip(a)]. 12973 (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(198,a,5383,a(flip),b,12972,a)]. 12974 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2801(a,1),9689(a,1,1,1,2))]. 12975 ((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(11690(a,1),12205(a,1,2,2))]. 12976 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(198,a,13,a(flip),b,12720,a)]. 12978 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12718(a,1),12976(a,1,3))]. 12980 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12895(a,1),12978(a,1,3))]. 12981 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12980(a,1),92(a,1,2))]. 12983 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(198,a,12938,a(flip),b,12981,a(flip))]. 12984 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5291(a,1),12983(a,1,2))]. 12985 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7814(a,1),12984(a,1,1,1)),flip(a)]. 12986 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(151,a,12985,a),flip(a)]. 12987 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(4544(a,1),12974(a,1,1,1))]. 12988 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(105(a,1),12987(a,1,1,1)),flip(a)]. 12990 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2801(a,1),12988(a,2,1,3,2))]. 12991 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),12990(a,2,1,3))]. 12993 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4521(a,1),12991(a,2,1))]. 12994 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(57(a,1),12993(a,1,1,1,1,2))]. 12995 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2801(a,1),12994(a,1,1,2))]. 12996 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(198,a,5750,a(flip),b,12995,a(flip)),flip(a)]. 12998 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),12996(a,1,1,1,1)),flip(a)]. 12999 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10427(a,1),12998(a,2,1,1))]. 13000 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(198,a,7220,a(flip),b,12999,a)]. 13001 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),13000(a,1,1,3))]. 13002 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7172(a,1),13001(a,2,1))]. 13003 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(198,a,6753,a(flip),b,13002,a(flip)),flip(a)]. 13004 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13003(a,1),7657(a,2,2))]. 13005 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(13003(a,1),8575(a,2,2))]. 13006 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(198,a,92,a(flip),b,13004,a)]. 13007 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7113(a,1),13006(a,2,2))]. 13008 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(7484,a,13007,a)]. 13009 K(x * y,z) * x = x * K(y * x,z). [hyper(17,a,11433,a(flip),b,13008,a(flip))]. 13011 K(x * y,T(z,y)) = K(y * x,z). [hyper(7874,a,13009,a),flip(a)]. 13012 K(x * y,T(z,x)) = K(y * x,z). [hyper(7156,a,13009,a)]. 13013 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(18,a,8094,a(flip),b,13009,a)]. 13015 K(x * y,(z * y) \ y) = K(y * x,z \ 1). [hyper(7315,a,13011,a)]. 13017 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),13011(a,1,1)),flip(a)]. 13018 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(362(a,1),13011(a,1,1))]. 13019 K(x * y,z) * y = y * K(y * x,z). [para(13011(a,1),7113(a,1,2)),flip(a)]. 13020 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),13012(a,1,1)),flip(a)]. 13021 K(x * y,z) * (y * x) = T(y * x,T(z,y)). [para(13012(a,1),4937(a,2,1)),flip(a)]. 13022 K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). [para(5469(a,2),13012(a,1,1)),flip(a)]. 13024 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13012(a,1),12480(a,1,1))]. 13025 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5729(a,1),13017(a,1,1,2)),flip(a)]. 13026 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(13020(a,1),4882(a,2,2))]. 13027 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(198,a,7193,a(flip),b,13026,a)]. 13028 T(x,T(y * z,y)) = T(x,z * y). [para(13(a,1),13027(a,1,2,1)),flip(a)]. 13030 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(198,a,4924,a(flip),b,13028,a)]. 13031 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(198,a,7936,a,b,13028,a(flip)),flip(a)]. 13034 K(x,T(y * z,y)) = K(x,z * y). [hyper(5000,a,13030,a)]. 13035 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(13030(a,2),4927(a,1))]. 13036 K(x,T(y * z,z)) = K(x,z * y). [hyper(8405,a,13034,a)]. 13037 K(T(x,y),y * z) = K(x,z * y). [hyper(7225,a,13034,a)]. 13038 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(198,a,8104,a,b,13034,a(flip)),flip(a)]. 13039 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),13034(a,1,2,1)),flip(a)]. 13040 K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. [para(13034(a,1),8113(a,1))]. 13041 K(x,y * z) * (z * x) = z * T(x,z * y). [para(13034(a,1),8552(a,1,1))]. 13042 K(x,K(y,z * y)) * K(x,z * y) = K(x,y * z). [hyper(7946,a,13036,a)]. 13043 K(x,y * (z / y)) = K(x,T(z,y)). [para(16(a,1),13036(a,1,2,1)),flip(a)]. 13045 K(x,(y * (z \ 1)) * z) = K(x,L(y,z \ 1,z)). [hyper(10103,a,13037,a),flip(a)]. 13046 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(13037(a,1),12357(a,1,2)),flip(a)]. 13047 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4676(a,1),13039(a,1,2)),flip(a)]. 13048 K(x,T(y,z)) \ ((z * (y / z)) / y) = T(z * (y / z),x) / y. [para(13043(a,1),12417(a,1,1))]. 13049 T(x / y,(y \ x) * z) = T(x / y,z * (y \ x)). [para(7142(a,1),13031(a,1,1))]. 13050 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(7936(a,2),13035(a,1))]. 13051 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1859(a,1),13013(a,1,1)),flip(a)]. 13052 K(T(x * y,(z * y) \ y) \ ((x * y) * u),w) = K(K(y * x,z \ 1) \ u,w). [para(13015(a,1),5365(a,2,1,1))]. 13053 (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(13021(a,1),12973(a,2,2))]. 13054 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(198,a,10109,a(flip),b,13038,a(flip))]. 13055 T(x,T(y * z,z)) = T(x,z * y). [hyper(8571,a,13041,a)]. 13057 T(x,((y \ z) \ 1) * z) = T(x,z * ((z / y) \ 1)). [hyper(198,a,10363,a(flip),b,13055,a(flip)),flip(a)]. 13058 K(x,x * T(y * z,z)) \ T(x,z * y) = R(x,T(y * z,z),x). [para(13055(a,1),5422(a,1,2))]. 13059 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8042,a,13046,a)]. 13060 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(16(a,1),13046(a,2,2,2))]. 13061 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(13046(a,1),7744(a,1,2,2))]. 13062 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(13047(a,1),8604(a,1))]. 13065 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(8095(a,1),13062(a,1))]. 13066 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(198,a,8041,a(flip),b,13059,a(flip))]. 13067 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(13060(a,1),8534(a,2,2))]. 13069 T(x,K(y,L(z,u \ 1,u))) = T(x,K(y,z)). [para(13045(a,1),12882(a,1,2))]. 13070 T(x,K(y,(z \ 1) \ u)) = T(x,K(y,z * u)). [para(405(a,1),13069(a,1,2,2)),flip(a)]. 13071 T(x,K(y,z \ (u \ 1))) = T(x,K(y,u * z)). [hyper(8086,a,13070,a)]. 13072 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(7733(a,1),13050(a,1,1,2))]. 13073 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(7709(a,1),13050(a,1,1,2))]. 13074 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(7814(a,1),13050(a,1,1,2))]. 13075 K(x,K(y,z)) * K(x,z * y) = K(x,y * z). [para(7680(a,1),13042(a,1,1))]. 13076 K(x,y * z) \ K(x,K(y,z)) = K(z * y,x). [para(13075(a,1),7385(a,1,1))]. 13077 K(x,K(y,z)) * K(y,x * z) = K(y,z * x). [para(7715(a,1),13075(a,1,1))]. 13078 K(x,(T(y,z) \ (y * u)) * w) \ K(x,K(K(y,z) \ u,w)) = K(w * (T(y,z) \ (y * u)),x). [para(5365(a,1),13076(a,1,2,2))]. 13079 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(198,a,8935,a(flip),b,13061,a(flip)),flip(a)]. 13080 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(13079(a,1),11704(a,1,2))]. 13081 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(8113,a,13018,a)]. 13082 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(12164(a,1),13024(a,1,1,1))]. 13083 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(13080(a,1),108(a,1,1)),flip(a)]. 13084 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(13080(a,1),5110(a,1,2,2)),flip(a)]. 13085 K(x,T(y,z)) \ K(z,z \ y) = T(z * (y / z),x) / y. [para(5235(a,1),13048(a,1,2))]. 13086 K(x,T(y,z)) \ K(z,z \ y) = (z * (T(y,x) / z)) / y. [para(4650(a,1),13085(a,2,1))]. 13087 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(198,a,7989,a(flip),b,13066,a(flip))]. 13088 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8042,a,13087,a)]. 13089 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(5506(a,2),13088(a,2,2))]. 13090 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(809(a,1),13081(a,1,1))]. 13091 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(8624,a,13090,a),flip(a)]. 13093 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(198,a,4091,a(flip),b,13083,a)]. 13094 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7094(a,2),13093(a,2,1))]. 13095 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(48(a,1),13051(a,2,1,2,2,1,2))]. 13096 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(11(a,1),13095(a,2,1,2))]. 13097 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(13096(a,2),8249(a,1))]. 13098 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(198,a,92,a(flip),b,13005,a)]. 13099 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(7113(a,1),13098(a,2,2))]. 13100 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),13089(a,1,2,2,2)),flip(a)]. 13101 (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(11565(a,1),13053(a,2,2))]. 13102 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (y * x) * (1 / x). [hyper(198,a,106,a(flip),b,13101,a)]. 13103 (x * y) * (((1 / x) * (y * x)) / (x * y)) = (y * x) * (1 / x). [para(4392(a,1),13102(a,1,2,1))]. 13104 (x * y) * (1 / T(x,y)) = (y * x) * (1 / x). [para(10675(a,1),13103(a,1,2))]. 13105 (x * (x \ (y / (1 / x)))) * (1 / T(x,x \ (y / (1 / x)))) = (T(y,x) / (1 / x)) * (1 / x). [para(1604(a,1),13104(a,2,1))]. 13106 (x / (1 / y)) * (1 / T(y,y \ (x / (1 / y)))) = (T(x,y) / (1 / y)) * (1 / y). [hyper(484,a,13105,a)]. 13108 (x / (1 / y)) * (1 / T(y,(x / (1 / y)) / y)) = (T(x,y) / (1 / y)) * (1 / y). [para(4093(a,2),13106(a,1,2,2))]. 13109 (T(x,y) / (1 / y)) * (1 / y) = (x / (1 / y)) * (1 / T(y,x)). [para(6335(a,1),13108(a,1,2,2)),flip(a)]. 13110 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(330,a,13109,a)]. 13111 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(108(a,1),13110(a,1,2,2))]. 13112 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(13111(a,1),4137(a,1,2)),flip(a)]. 13113 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(13112(a,2),2746(a,1,1))]. 13114 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(11046,a,13113,a)]. 13115 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(13114(a,2),14(a,1,2))]. 13116 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5704(a,1),13082(a,1,1))]. 13117 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14(a,1),13116(a,1,2,2,1,2))]. 13119 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8857(a,1),13117(a,1,2))]. 13120 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(123(a,1),13084(a,2,2))]. 13121 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(198,a,4917,a,b,13120,a)]. 13123 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(198,a,7715,a,b,13121,a)]. 13124 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(13094(a,1),13123(a,1,2))]. 13125 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(8527,a,13124,a)]. 13126 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(7713,a,13125,a)]. 13127 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(9338,a,13126,a)]. 13129 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(5118(a,1),13127(a,1,2))]. 13130 (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(198,a,13067,a(flip),b,12975,a(flip)),flip(a)]. 13131 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(10045(a,1),13130(a,1,2,2)),flip(a)]. 13132 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(7733(a,1),13131(a,2,2))]. 13134 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(13129(a,1),13132(a,2,2))]. 13135 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(7711(a,1),13134(a,2,2))]. 13136 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(11690(a,1),13135(a,1,1,2))]. 13137 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(198,a,10703,a,b,13136,a(flip)),flip(a)]. 13138 (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(12204(a,1),13137(a,1,1)),flip(a)]. 13139 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(13138(a,1),486(a,1))]. 13140 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12599(a,1),12605(a,1,2,1,1))]. 13141 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11519(a,1),13140(a,1,2,1))]. 13142 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7779(a,1),13141(a,1,2,1,1))]. 13143 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12587(a,1),13142(a,1,2,1))]. 13144 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12657(a,1),13143(a,1,2)),flip(a)]. 13145 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(198,a,12668,a(flip),b,13144,a)]. 13146 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(12599(a,1),13145(a,1,2))]. 13147 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(198,a,12857,a(flip),b,13146,a(flip)),flip(a)]. 13148 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(198,a,12610,a(flip),b,13147,a(flip)),flip(a)]. 13149 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(198,a,9793,a(flip),b,13148,a(flip)),flip(a)]. 13150 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(13149(a,1),12592(a,1,1)),flip(a)]. 13151 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(198,a,11220,a(flip),b,13150,a(flip))]. 13152 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12612(a,1),13151(a,1,1)),flip(a)]. 13154 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(13152(a,1),12737(a,2,1))]. 13155 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12730(a,1),13154(a,2,1,1))]. 13157 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7068(a,1),13155(a,1,1,1))]. 13159 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11996(a,1),13157(a,1,1))]. 13160 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(8875(a,1),13159(a,1,1)),flip(a)]. 13161 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(65,a,13160,a(flip),b,621,a)]. 13163 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(11727,a,13161,a),flip(a)]. 13164 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12523(a,1),13163(a,2,2))]. 13165 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(198,a,12528,a(flip),b,13164,a)]. 13168 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,13165,a)]. 13169 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(13168(a,1),11387(a,1,2))]. 13170 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12579(a,1),13169(a,1,1,2,1))]. 13171 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(435,a,13170,a),flip(a)]. 13173 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,12522,a(flip),b,13171,a)]. 13174 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(198,a,427,a,b,13173,a(flip)),flip(a)]. 13175 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(198,a,12729,a(flip),b,13173,a(flip)),flip(a)]. 13176 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(198,a,12688,a(flip),b,13173,a(flip))]. 13177 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(13173(a,1),102(a,1,1)),flip(a)]. 13180 L(x,y,a(z,u,z)) = x. [para(13173(a,1),13168(a,1,3))]. 13181 T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). [hyper(198,a,12521,a,b,13180,a),flip(a)]. 13182 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(13180(a,1),451(a,1,2))]. 13183 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(13180(a,1),395(a,1,2,1)),flip(a)]. 13186 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(198,a,11966,a,b,13175,a)]. 13187 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(13175(a,1),12251(a,1,1)),flip(a)]. 13188 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(13175(a,1),12281(a,1,2)),flip(a)]. 13189 T(x,a(y,z,y)) != u | u = x. [para(13181(a,2),286(a,1))]. 13191 L(x,y,a(z,u,z)) != w | w = x. [para(13181(a,1),13189(a,1))]. 13192 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(11966(a,2),13187(a,2,1))]. 13194 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(12125,a,13186,a),flip(a)]. 13196 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5693(a,1),13176(a,1,2)),flip(a)]. 13197 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(13177(a,1),24(a,2,1)),flip(a)]. 13198 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(13177(a,1),28(a,2,1)),flip(a)]. 13199 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) != v5 | a(x,a(y,z,y) * u,w) = v5. [para(13177(a,1),620(a,1,1,2))]. 13200 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12522(a,1),13177(a,1,1))]. 13201 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(14(a,1),13182(a,1,1)),flip(a)]. 13202 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(198,a,10224,a(flip),b,13192,a)]. 13204 L(x,y,L(x,z,u)) = L(x,y,x). [para(296(a,1),13202(a,1,3)),flip(a)]. 13205 K(L(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(13204(a,2),7251(a,1,1))]. 13206 L(K(x,y),z,L(x,u,w)) != v5 | K(x,y) = v5. [para(6603(a,1),13205(a,1))]. 13208 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(32(a,1),13194(a,1,2))]. 13209 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(4929,a,13200,a)]. 13210 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(198,a,12618,a(flip),b,13200,a)]. 13211 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [hyper(198,a,12522,a(flip),b,13200,a)]. 13212 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(71,a,13201,a),flip(a)]. 13213 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [hyper(198,a,12003,a(flip),b,13211,a(flip))]. 13214 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(198,a,8694,a(flip),b,13188,a)]. 13216 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10327,a,13214,a),flip(a)]. 13217 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(419(a,1),13214(a,1,2)),flip(a)]. 13218 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(10853,a,13217,a),flip(a)]. 13219 (T(x,y) \ K(x,z * (x \ u))) \ (T(x,y) \ 1) = K((x \ z) * u,x). [para(13218(a,1),7612(a,1,1,2))]. 13220 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(198,a,11028,a,b,13208,a(flip)),flip(a)]. 13221 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(198,a,11327,a(flip),b,13216,a(flip)),flip(a)]. 13222 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(198,a,12316,a(flip),b,13221,a(flip)),flip(a)]. 13224 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ x). [hyper(198,a,12449,a,b,13222,a(flip)),flip(a)]. 13225 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(198,a,12453,a(flip),b,13222,a(flip)),flip(a)]. 13226 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(198,a,11067,a(flip),b,13222,a(flip)),flip(a)]. 13228 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(198,a,12073,a(flip),b,13225,a(flip))]. 13230 K(x,((x * y) * z) / u) = K(x,(u / (y * z)) \ x). [hyper(198,a,12448,a(flip),b,13224,a(flip)),flip(a)]. 13232 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(198,a,11001,a(flip),b,13226,a)]. 13233 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(198,a,10040,a,b,13232,a(flip)),flip(a)]. 13235 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [para(102(a,1),13233(a,1,2,2))]. 13237 K(x,y \ ((z * u) * x)) = K(x,y \ ((x * z) * u)). [hyper(198,a,10997,a,b,13235,a),flip(a)]. 13238 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(13213(a,1),11187(a,1,1))]. 13239 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12544(a,1),13174(a,1,1,1))]. 13240 a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w. [para(13209(a,2),19(a,1))]. 13241 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(198,a,11573,a(flip),b,13196,a(flip)),flip(a)]. 13242 K((x \ y) * z,x) = K(y * (x \ z),x). [hyper(7613,a,13219,a),flip(a)]. 13243 K(x \ (y * z),x) = K((x \ y) * z,x). [hyper(198,a,10952,a,b,13242,a),flip(a)]. 13244 K(x \ ((x * y) * z),x) = K(y * z,x). [para(13(a,1),13243(a,2,1,1))]. 13245 K(x \ ((y * x) * z),x) = K(y * z,x). [hyper(198,a,11382,a,b,13244,a(flip)),flip(a)]. 13246 K((x \ y) \ (y * z),x \ y) = K(x * z,x \ y). [para(14(a,1),13245(a,1,1,2,1))]. 13247 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(198,a,11491,a(flip),b,13220,a(flip))]. 13248 a(L(x,y,z),L(x,y,z) \ (u * L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(198,a,12750,a,b,13247,a),flip(a)]. 13250 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(198,a,12145,a(flip),b,13228,a(flip)),flip(a)]. 13251 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5576(a,1),13250(a,1,1))]. 13252 R(K(x,y),K(x,z),u) = K(x,y). [para(4212(a,1),13251(a,2,1))]. 13256 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(13251(a,1),9961(a,1,1,1,2))]. 13258 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(13252(a,1),102(a,1,1)),flip(a)]. 13259 L(x,K(y,z),K(y,u)) = x. [hyper(390,a,13258,a)]. 13260 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(198,a,5936,a(flip),b,13259,a(flip)),flip(a)]. 13261 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(198,a,6210,a(flip),b,13260,a(flip))]. 13263 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(12696,a,13256,a)]. 13264 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(138,a,13263,a),flip(a)]. 13265 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(13263(a,1),138(a,1))]. 13266 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(198,a,13251,a(flip),b,13264,a(flip)),flip(a)]. 13267 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(172(a,2),13264(a,2,2)),flip(a)]. 13269 x * R(K(x,y),z,u) = T(x,R(y,z,u)). [para(13264(a,2),4924(a,2,2)),flip(a)]. 13272 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(13264(a,1),12933(a,1,2,2))]. 13273 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6992,a,13266,a),flip(a)]. 13275 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(13269(a,1),12928(a,2,1))]. 13276 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(13251(a,1),13265(a,1))]. 13277 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(13040,a,13267,a)]. 13278 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(198,a,8933,a(flip),b,13277,a(flip))]. 13279 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(13265,a,13278,a)]. 13280 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(198,a,11513,a,b,13279,a(flip)),flip(a)]. 13281 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(440(a,1),13279(a,1,2)),flip(a)]. 13282 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(198,a,13264,a,b,13280,a(flip)),flip(a)]. 13283 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(13282(a,1),6982(a,1,2,1))]. 13284 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(13276,a,13273,a)]. 13285 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(5296,a,13283,a),flip(a)]. 13287 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(3238(a,1),13261(a,1,2)),flip(a)]. 13288 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(198,a,5383,a(flip),b,13287,a)]. 13289 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8176(a,1),13288(a,2,2))]. 13290 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(13289(a,1),12840(a,1,2)),flip(a)]. 13291 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(8948,a,13272,a)]. 13292 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(198,a,10052,a,b,13291,a(flip)),flip(a)]. 13293 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(2979(a,1),13292(a,1,1))]. 13294 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(12922,a,13293,a)]. 13295 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(13294(a,2),12952(a,2,1)),flip(a)]. 13296 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(198,a,12954,a,b,13295,a(flip)),flip(a)]. 13297 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(102(a,1),13239(a,1,1))]. 13298 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(13210(a,1),13297(a,1,1,1))]. 13299 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(14(a,1),13298(a,1,2,1))]. 13300 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(12619(a,1),13299(a,1,1,1)),flip(a)]. 13301 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(198,a,30,a,b,13300,a)]. 13302 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(13(a,1),13301(a,1,2,2)),flip(a)]. 13303 a(x,R(y,z,u),x) = a(x,y,x). [hyper(198,a,13173,a(flip),b,13302,a(flip))]. 13305 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(13303(a,1),8682(a,1,1))]. 13306 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(13303(a,1),8702(a,1,1)),flip(a)]. 13307 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(198,a,8702,a(flip),b,13306,a)]. 13308 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(13307(a,1),12838(a,1,2))]. 13309 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(12552,a,13305,a)]. 13310 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(13309(a,2),4082(a,1,1))]. 13311 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(705(a,1),13308(a,1,2)),flip(a)]. 13313 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(13311(a,1),4869(a,2,2)),flip(a)]. 13314 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(198,a,12799,a(flip),b,13313,a(flip)),flip(a)]. 13315 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12902(a,1),13314(a,1,1))]. 13316 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(198,a,12986,a,b,13315,a(flip))]. 13317 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(571(a,1),13316(a,2,1,2))]. 13318 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(198,a,5576,a,b,13317,a(flip)),flip(a)]. 13319 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),13317(a,1,1))]. 13320 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(198,a,10066,a(flip),b,13319,a(flip)),flip(a)]. 13321 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(198,a,13054,a(flip),b,13320,a(flip)),flip(a)]. 13322 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5148(a,1),13321(a,2,1))]. 13323 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(198,a,11983,a(flip),b,13310,a(flip)),flip(a)]. 13324 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(13317(a,1),13318(a,1,1))]. 13326 a(L(x,y,z),T(u,L(x,y,z)),L(x,y,z)) = a(x,u,R(x,w,v5)). [para(32(a,2),13248(a,1,2))]. 13327 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9632,a,13326,a)]. 13328 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,w,v5)). [hyper(198,a,13186,a(flip),b,13327,a)]. 13329 R(L(x,y,z),u,L(x,y,z)) = L(x,y,z) * a(x,u,L(x,w,v5)). [para(13328(a,1),8669(a,1,2)),flip(a)]. 13330 L(x,y,z) * a(x,u,L(x,w,v5)) = L(R(x,u,x),y,z). [hyper(198,a,11630,a(flip),b,13329,a(flip))]. 13331 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(281(a,1),13330(a,1,2,3))]. 13332 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(13331(a,1),393(a,1,2,2))]. 13333 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(13177(a,1),13198(a,1,2))]. 13334 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(723,a,13333,a)]. 13335 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(13191,a,13334,a)]. 13338 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(14(a,1),13335(a,1,3)),flip(a)]. 13339 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(8682(a,1),13335(a,1,3))]. 13340 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(8684(a,1),13335(a,1,3))]. 13341 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(8706(a,1),13335(a,1,3))]. 13342 L(x,y,L(z,u,z)) = L(x,y,z). [para(8872(a,1),13338(a,1,3))]. 13343 L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). [para(12296(a,1),13342(a,1,3)),flip(a)]. 13344 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(14(a,1),13339(a,1,3,1)),flip(a)]. 13345 L(x,y,T((z \ u) * z,z \ u)) = L(x,y,u). [para(14(a,1),13339(a,2,3))]. 13346 L(x,y,T((T(z,z \ u) / u) * u,T(z,z \ u) / u)) = L(x,y,(z \ u) \ T(u,u \ z)). [para(5953(a,2),13339(a,2,3))]. 13348 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(198,a,12176,a(flip),b,13340,a(flip))]. 13349 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(14(a,1),13340(a,1,3,1)),flip(a)]. 13351 L(x,y,T(T(z,z \ u),w)) = L(x,y,T(T(z,w),u)). [para(8134(a,2),13343(a,1,3))]. 13352 L(x,y / z,K(y,z)) = x. [hyper(7145,a,13349,a)]. 13353 L(x,y,K(z \ x,z)) = x. [hyper(198,a,7265,a(flip),b,13349,a)]. 13354 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(13352(a,1),5407(a,1,2)),flip(a)]. 13355 L(x * y,z,K(x,y)) = x * y. [para(5147(a,1),13353(a,1,3))]. 13356 L(x,y,(z \ T(u,z \ u)) * z) = L(x,y,u). [para(4681(a,1),13345(a,1,3))]. 13358 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5311,a,13354,a)]. 13359 L(x,y,T(T(z,u \ z),u)) = L(x,y,z). [hyper(198,a,13344,a(flip),b,13356,a(flip)),flip(a)]. 13360 R(K(x,y),x \ y,z) = K(x,y). [hyper(8981,a,13358,a)]. 13361 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),13360(a,1,2))]. 13363 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(198,a,10844,a,b,13361,a(flip)),flip(a)]. 13364 R(K(x,x * y),y,z) = K(x,R(y \ 1,y,u) \ x). [hyper(198,a,13361,a,b,13363,a),flip(a)]. 13365 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(13363(a,1),4924(a,2,2))]. 13366 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(13363(a,1),12146(a,1,1))]. 13367 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(198,a,4924,a,b,13365,a)]. 13368 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(198,a,4567,a(flip),b,13367,a(flip)),flip(a)]. 13369 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),13368(a,1,2,1,2))]. 13370 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(198,a,9279,a,b,13369,a(flip)),flip(a)]. 13371 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(198,a,4924,a(flip),b,13370,a),flip(a)]. 13372 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,4924,a(flip),b,13371,a),flip(a)]. 13373 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(9282,a,13372,a)]. 13374 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(13372(a,1),7873(a,1,1,2))]. 13375 K(x,(y / z) \ x) \ T(x,z / y) = R(x,z / y,x). [para(13373(a,2),5422(a,1,1))]. 13377 R(K(x,x * y),y,z) = K(x,R(1 / y,y,u) \ x). [hyper(198,a,5787,a,b,13364,a)]. 13379 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(198,a,7873,a(flip),b,13374,a(flip))]. 13380 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(198,a,9400,a(flip),b,13379,a(flip)),flip(a)]. 13381 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9914,a,13380,a)]. 13382 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(13381(a,1),13119(a,1,2))]. 13384 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(198,a,13373,a(flip),b,13366,a)]. 13386 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),13384(a,2,2,2))]. 13387 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(13265,a,13386,a)]. 13390 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(13177(a,1),13183(a,2,1))]. 13391 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(92(a,1),13332(a,1,2))]. 13392 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(11982,a,13391,a),flip(a)]. 13393 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(198,a,13182,a(flip),b,13390,a)]. 13394 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(30(a,2),13393(a,2,2))]. 13395 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(13180(a,1),13394(a,1,2))]. 13396 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(13395(a,2),12969(a,1,1,2))]. 13397 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(13177(a,1),13197(a,1,2,1))]. 13398 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5082(a,1),13241(a,2,2))]. 13399 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(8691,a,13398,a)]. 13400 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(13177(a,1),13397(a,1,2))]. 13401 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(725,a,13400,a)]. 13402 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(13191,a,13401,a)]. 13404 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),13402(a,1,1)),flip(a)]. 13405 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(8684(a,1),13402(a,1,1))]. 13406 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(8698(a,1),13402(a,1,1))]. 13407 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(8706(a,1),13402(a,1,1))]. 13408 a(x / a(y,z,y),u,w) = a(x,u,w). [para(12527(a,2),13404(a,1,1))]. 13409 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(14(a,1),13405(a,1,1,1)),flip(a)]. 13410 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(9197(a,2),13407(a,2,1)),flip(a)]. 13411 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(198,a,13322,a,b,13409,a(flip)),flip(a)]. 13412 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(6024(a,1),13409(a,1,1))]. 13413 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(198,a,5797,a,b,13411,a(flip)),flip(a)]. 13414 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(198,a,6332,a(flip),b,13411,a(flip)),flip(a)]. 13415 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(6214(a,1),13410(a,2,1))]. 13416 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(198,a,13412,a(flip),b,13415,a)]. 13417 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(105(a,1),13416(a,1,1,1,2))]. 13418 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(198,a,13406,a(flip),b,13417,a(flip))]. 13419 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(198,a,12898,a,b,13418,a(flip)),flip(a)]. 13420 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(3500(a,1),13418(a,1,1)),flip(a)]. 13421 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(13266(a,1),13418(a,2,1))]. 13422 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11348(a,2),13420(a,2,1)),flip(a)]. 13423 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(198,a,12923,a,b,13421,a(flip)),flip(a)]. 13424 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6948(a,1),13422(a,2,1))]. 13425 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(198,a,13420,a(flip),b,13424,a)]. 13426 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11348(a,1),13425(a,1,1))]. 13427 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(13266(a,1),13426(a,2,1))]. 13428 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(13419(a,1),13423(a,1,1)),flip(a)]. 13429 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(198,a,13324,a(flip),b,13428,a)]. 13430 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(198,a,13427,a(flip),b,13429,a(flip)),flip(a)]. 13431 L(x,y,T(T(z,z \ u),T(z,z \ u) / u)) = L(x,y,(z \ u) \ T(u,u \ z)). [para(16(a,1),13346(a,1,3,1))]. 13433 L(x,y,T(T(z,z \ u),u \ T(z,z \ u))) = L(x,y,(z \ u) \ T(u,u \ z)). [para(3942(a,1),13431(a,1,3))]. 13434 L(x,y,T(T(z,z \ u),z / u)) = L(x,y,(z \ u) \ T(u,u \ z)). [para(8998(a,1),13433(a,1,3))]. 13435 L(x,y,T(T(z,z \ u),u \ z)) = L(x,y,(z \ u) \ T(u,u \ z)). [para(8751(a,1),13434(a,1,3))]. 13436 L(x,y,(z \ u) \ T(u,u \ z)) = L(x,y,T(T(z,u \ z),u)). [hyper(198,a,13351,a(flip),b,13435,a(flip))]. 13437 L(x,y,(z \ u) \ T(u,u \ z)) = L(x,y,z). [hyper(198,a,13359,a(flip),b,13436,a)]. 13439 L(T((x / y) \ 1,x) \ 1,(x / y) \ 1,x) = (((y \ x) \ 1) * x) \ (y * (x / y)). [hyper(198,a,12459,a(flip),b,13437,a(flip))]. 13441 (((x \ y) \ 1) * y) \ (x * (y / x)) = (((y / x) \ 1) * y) \ y. [hyper(198,a,5941,a(flip),b,13439,a(flip))]. 13442 (K(x,T(x,x * y) * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). [hyper(198,a,5974,a(flip),b,13348,a(flip))]. 13443 (K(x,x * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). [para(9174(a,1),13442(a,1,1,1))]. 13444 (K(x,x * y) \ z) \ T(x * y,x) = (K(x,y) \ z) \ (y * x). [para(3981(a,1),13443(a,1,2,1))]. 13446 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7345(a,1),13382(a,1,2)),flip(a)]. 13447 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(198,a,5222,a(flip),b,13446,a)]. 13448 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),13396(a,1,1,2,1)),flip(a)]. 13449 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(13448(a,1),13414(a,1,1))]. 13450 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),13449(a,1,2))]. 13451 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4955,a,13450,a),flip(a)]. 13453 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(13451(a,1),12953(a,2,2))]. 13454 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(198,a,13296,a(flip),b,13453,a(flip))]. 13455 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(198,a,9606,a,b,13454,a(flip)),flip(a)]. 13456 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7715(a,2),13455(a,2,1))]. 13457 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9613,a,13456,a)]. 13458 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(198,a,10043,a(flip),b,13457,a(flip)),flip(a)]. 13459 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7733(a,1),13458(a,2,1))]. 13460 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8853(a,1),13459(a,2,1))]. 13461 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10107,a,13460,a)]. 13464 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(198,a,10702,a(flip),b,13461,a(flip)),flip(a)]. 13467 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(13238(a,1),191(a,1)),flip(b)]. 13468 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(13467,a,13392,a),flip(a)]. 13469 L(a(x,y,x),z,u) = a(x,y,x). [para(16(a,1),13468(a,1,2))]. 13470 L(a(x,y,x),z,u) = L(a(x,y,x),w,v5). [hyper(198,a,13469,a,b,13469,a)]. 13472 a(x,y * K(z,y),x) = a(x,y,x). [hyper(198,a,13176,a,b,13469,a(flip)),flip(a)]. 13474 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(13469(a,1),92(a,1,2))]. 13475 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(13469(a,1),13399(a,1,1))]. 13477 a(x,T(y,z),x) = a(x,y,x). [para(5064(a,1),13472(a,1,2)),flip(a)]. 13478 a(x,y / z,x) = a(x,z \ y,x). [para(4941(a,1),13472(a,1,2))]. 13482 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(165(a,1),13477(a,1,2)),flip(a)]. 13483 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(445(a,1),13477(a,1,2)),flip(a)]. 13484 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13477(a,1),8700(a,1,1))]. 13486 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(198,a,12825,a(flip),b,13478,a)]. 13487 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). [para(3740(a,2),13478(a,1,2))]. 13488 x * a(y,y \ x,y) = y * (T(x,y) / y). [para(13478(a,1),8739(a,1,2))]. 13489 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(12156(a,1),13486(a,1,2,2)),flip(a)]. 13490 a(x,x \ y,x) * y = x * (T(y,x) / x). [hyper(12537,a,13488,a)]. 13491 x \ (y * (T(x,y) / y)) = a(y,y \ x,y). [hyper(71,a,13488,a)]. 13492 x \ (y * (T(x,y) / y)) != z | a(y,y \ x,y) = z. [para(13488(a,1),191(a,1,2)),flip(b)]. 13493 L(x,y,z) \ (u * (L(T(x,u),y,z) / u)) = a(u,u \ L(x,y,z),u). [para(40(a,2),13491(a,1,2,2,1))]. 13494 R(x,y,a(z,u,z)) = x. [hyper(10723,a,13474,a)]. 13495 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(543,a,13474,a)]. 13496 ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(R(x,y,z),y * z,a(u,w,u)). [para(13474(a,1),426(a,1,1))]. 13498 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(12689,a,13494,a)]. 13503 R(x,y,T(a(z,u,z),w)) = x. [para(12523(a,2),13494(a,1,3))]. 13504 (x / T(a(y,z,y),u)) / w = x / (w * T(a(y,z,y),u)). [hyper(198,a,197,a(flip),b,13503,a(flip))]. 13505 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(u,z,a(x,y,x)). [hyper(12548,a,13495,a),flip(a)]. 13506 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(13474(a,1),13495(a,1,2))]. 13507 T(x,y * a(z,u,z)) = T(x,y). [hyper(13191,a,13498,a)]. 13508 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(13498(a,1),13191(a,1)),flip(b)]. 13510 T(x,(y * z) * y) = T(x,y * (z * y)). [para(81(a,1),13507(a,1,2))]. 13511 T(x,T(y,z) / z) = T(x,z \ y). [para(8687(a,1),13507(a,1,2))]. 13512 T(x,a(y,z,y) \ u) = T(x,u). [para(12526(a,1),13507(a,1,2)),flip(a)]. 13513 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(198,a,4924,a(flip),b,13512,a)]. 13514 T(x,y / T(z,y)) = T(x,z \ y). [para(4086(a,1),13511(a,1,2))]. 13515 T(x,(y / T(z,y)) / T(u,z \ y)) = T(x,u \ (y / T(z,y))). [para(13514(a,1),13514(a,1,2,2))]. 13516 K(x,a(y,z,y) \ u) = K(x,u). [hyper(5000,a,13513,a)]. 13517 K(x,(y \ R(y,z,y)) \ u) = K(x,u). [para(8661(a,1),13516(a,1,2,1))]. 13518 K(x,y / (z \ R(z,u,z))) = K(x,y). [para(12532(a,2),13517(a,1,2))]. 13519 K(x,y * (z \ R(z,u,z))) = K(x,y). [para(15(a,1),13518(a,1,2)),flip(a)]. 13520 K(x,y * a(z,u,z)) = K(x,y). [para(8662(a,1),13519(a,1,2,2))]. 13521 K(x,T(y,z) / z) = K(x,z \ y). [para(8687(a,1),13520(a,1,2))]. 13522 K(x,y * R(z,u,z)) = K(x,y * z). [para(11967(a,1),13520(a,1,2))]. 13524 K(x,y / T(z,y)) = K(x,z \ y). [para(4086(a,1),13521(a,1,2))]. 13525 K(x,y * T(z,z * u)) = K(x,y * T(z,u)). [para(4269(a,1),13522(a,1,2,2)),flip(a)]. 13528 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5634(a,1),13510(a,1,2)),flip(a)]. 13530 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(198,a,13482,a(flip),b,13483,a(flip)),flip(a)]. 13531 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(198,a,13303,a(flip),b,13530,a(flip))]. 13535 a(x,y \ (z * T(y,u)),x) = a(x,K(u,y) \ z,x). [para(4886(a,1),13531(a,1,2,1))]. 13536 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(13531(a,1),12554(a,1,2,1)),flip(a)]. 13537 x / (y * T(a(z,u,z),w)) = (a(z,u,z) \ x) / y. [para(12555(a,1),13504(a,1,1)),flip(a)]. 13538 x / (y * T(a(z,u,z),w)) = a(z,u,z) \ (x / y). [hyper(198,a,13212,a(flip),b,13537,a)]. 13540 x / (y * a(z,u,z)) = a(z,u,z) \ (x / y). [para(105(a,1),13538(a,1,2,2))]. 13541 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(8669(a,1),13540(a,1,2)),flip(a)]. 13542 T(x,y / R(z,u,z)) = T(x,y / z). [para(13541(a,1),13512(a,1,2))]. 13543 T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). [para(7288(a,1),13542(a,1,2,2))]. 13545 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). [hyper(12550,a,13506,a),flip(a)]. 13546 (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). [para(28(a,2),13506(a,2,1))]. 13548 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(198,a,13478,a(flip),b,13475,a)]. 13550 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),13548(a,2,2))]. 13551 a(x,L(y,z,u),x) = a(x,y,x). [hyper(198,a,13469,a(flip),b,13550,a(flip))]. 13554 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(196(a,1),13551(a,1,2))]. 13555 a(x,(y \ z) \ u,x) = a(x,z \ (y * u),x). [para(406(a,1),13551(a,1,2)),flip(a)]. 13556 a(x,(y * z) \ (z * u),x) = a(x,T(y,z) \ u,x). [para(410(a,1),13551(a,1,2))]. 13557 R(x,L(y,z,u),x) = x * a(x,y,x). [para(13551(a,1),8669(a,1,2)),flip(a)]. 13558 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(13551(a,1),8872(a,1,1)),flip(a)]. 13559 R(x,L(y,z,u),x) = R(x,y,x). [hyper(198,a,8669,a(flip),b,13557,a)]. 13560 R(x,(y * z) \ u,x) = R(x,z \ (y \ u),x). [para(196(a,1),13559(a,1,2))]. 13561 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(13559(a,1),12830(a,1,2,1))]. 13562 L(x,L(y,z,u),x) = L(x,y,x). [hyper(198,a,8872,a(flip),b,13558,a)]. 13563 L(x,(y * z) \ (y * u),x) = L(x,z \ u,x). [para(94(a,1),13562(a,1,2))]. 13564 L(x,(y * z) \ u,x) = L(x,z \ (y \ u),x). [para(196(a,1),13562(a,1,2))]. 13565 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [para(306(a,1),13562(a,1,2)),flip(a)]. 13566 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [hyper(198,a,5417,a,b,13565,a),flip(a)]. 13567 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(198,a,11212,a,b,13565,a(flip)),flip(a)]. 13568 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),13567(a,1,2))]. 13569 a(x,y \ (z \ (u * y)),x) = a(x,z \ u,x). [hyper(198,a,13531,a(flip),b,13554,a(flip))]. 13570 L(a(x,(y \ z) \ u,x),w,v5) = a(x,z \ (y * u),x). [hyper(198,a,13469,a,b,13555,a(flip)),flip(a)]. 13571 a(x,y \ (z \ u),x) = a(x,z \ (u / y),x). [para(16(a,1),13569(a,1,2,2,2))]. 13572 a(x,T(y,z) \ T(u,y),x) = a(x,T(y,z) \ u,x). [para(980(a,1),13569(a,1,2))]. 13573 K(x \ (y / z),u) \ K((x \ (y / z)) * u,u) = a(u,z \ (x \ y),u). [hyper(198,a,12546,a,b,13571,a),flip(a)]. 13574 a(x,y \ (z \ (y * u)),x) = a(x,T(z,y) \ u,x). [hyper(198,a,13554,a(flip),b,13556,a(flip)),flip(a)]. 13575 L(x,y / z,x) = L(x,z \ y,x). [hyper(198,a,13447,a(flip),b,13568,a(flip)),flip(a)]. 13577 L(x,(y \ z) \ z,x) = L(x,y,x). [para(57(a,1),13575(a,1,2)),flip(a)]. 13578 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3740(a,2),13575(a,1,2))]. 13579 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5075(a,2),13575(a,1,2))]. 13581 L(x,y * K(z,y),x) = L(x,y,x). [para(5827(a,1),13577(a,1,2)),flip(a)]. 13582 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5651(a,1),13581(a,1,2))]. 13583 a(x,T(y,z) \ T(y * u,y),x) = a(x,K(y,z) \ u,x). [para(5212(a,1),13572(a,2,2))]. 13584 a(x,T(y,z) \ (z \ u),x) = a(x,z \ (y \ u),x). [para(14(a,1),13574(a,1,2,2,2)),flip(a)]. 13585 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(18,a,6667,a,b,13566,a),flip(a)]. 13586 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(198,a,12554,a(flip),b,13536,a)]. 13588 (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). [para(13474(a,1),13546(a,1,2,2))]. 13589 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(198,a,13582,a(flip),b,13579,a(flip))]. 13591 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(198,a,13586,a(flip),b,13589,a(flip))]. 13593 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),13591(a,2,2))]. 13594 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(400,a,13588,a)]. 13595 a(x,y,x) \ L(a(x,y,x) * z,u,w) = L(z,u,w). [hyper(4799,a,13594,a)]. 13596 L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w). [para(13595(a,1),14(a,1,2)),flip(a)]. 13597 L(x,y,z) \ L(a(u,w,u) * x,y,z) = a(u,w,u). [para(13595(a,1),12535(a,1,1))]. 13598 x * L(a(x,y,x) * z,u,w) = R(x,y,x) * L(z,u,w). [para(13596(a,2),12551(a,1,2))]. 13599 L(K(x,y),z,u) \ L(K(x,x \ y),z,u) = a(x,x \ y,x). [para(8706(a,1),13597(a,1,2,1))]. 13600 L(x,y,z) \ L(u * (T(x,u) / u),y,z) = a(u,u \ x,u). [para(13490(a,1),13597(a,1,2,1))]. 13601 R(x,y,x) * L(R(x,y,x) \ z,u,w) = x * L(x \ z,u,w). [para(12562(a,1),13598(a,1,2,1)),flip(a)]. 13602 L(K(x,y / ((x \ z) * u)),w,v5) \ L(K(x,x \ (y / ((z / x) * u))),w,v5) = a(x,x \ (y / ((z / x) * u)),x). [para(9658(a,1),13599(a,1,1,1))]. 13603 R(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). [hyper(3555,a,13601,a)]. 13604 T(x * y,x) * L(T(x * y,x) \ z,u,w) = y * (x * L(x \ (y \ z),u,w)). [para(13601(a,1),12786(a,1,2)),flip(a)]. 13605 R(T(x * L(x \ 1,y,z),u),w,x) = T(x * L(x \ 1,y,z),u). [para(13603(a,1),42(a,2,1))]. 13606 T(x * L(x \ 1,y,z),x * u) = T(x * L(x \ 1,y,z),u). [hyper(11580,a,13605,a),flip(a)]. 13607 T((1 / x) * L((1 / x) \ 1,y,z),u) = T((1 / x) * L(x,y,z),(1 / x) * u). [para(60(a,1),13606(a,1,1,2,1)),flip(a)]. 13608 L(x,y,z) \ L(u * (T(x,u) / u),y,z) = a(u,u \ L(x,y,z),u). [para(4797(a,2),13493(a,1,2))]. 13609 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4854(a,1),13528(a,1,2,2))]. 13610 a(x,x \ L(y,z,u),x) = a(x,x \ y,x). [hyper(198,a,13600,a(flip),b,13608,a(flip))]. 13612 a(x,x \ ((y * z) \ u),x) = a(x,x \ (z \ (y \ u)),x). [para(196(a,1),13610(a,1,2,2))]. 13613 a(x,x \ ((y \ z) \ u),x) = a(x,x \ (z \ (y * u)),x). [para(406(a,1),13610(a,1,2,2)),flip(a)]. 13614 L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). [hyper(198,a,13505,a(flip),b,13545,a(flip))]. 13616 L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). [para(12521(a,1),13614(a,1,1))]. 13617 L(x,a(y,z,y),u) = x. [hyper(198,a,13180,a(flip),b,13616,a)]. 13622 x \ ((x / a(y,z,y)) * u) = a(y,z,y) \ u. [hyper(198,a,407,a(flip),b,13617,a(flip)),flip(a)]. 13623 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(198,a,196,a(flip),b,13617,a(flip)),flip(a)]. 13624 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(13617(a,1),92(a,1,2))]. 13626 (x / a(y,z,y)) * u = x * (a(y,z,y) \ u). [para(13622(a,1),14(a,1,2)),flip(a)]. 13627 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [para(12522(a,2),13623(a,1,1))]. 13628 R(x,a(y,z,y),u) = x. [hyper(4743,a,13624,a)]. 13630 (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w) = a(x * a(y,z,y),u,w). [para(13624(a,1),24(a,2,1)),flip(a)]. 13631 T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). [hyper(1154,a,13628,a)]. 13632 ((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(13626(a,1),12569(a,1,1))]. 13633 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(13627(a,2),13516(a,1,2))]. 13634 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(6653,a,13633,a)]. 13635 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(8671(a,1),13633(a,1,2,1))]. 13636 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(8682(a,1),13633(a,1,2,1))]. 13637 K(x,K(y * z,y) \ u) = K(x,K(z,y) \ u). [para(8684(a,1),13633(a,1,2,1))]. 13638 K(x,K(y * z,z) \ u) = K(x,K(y,z) \ u). [para(8698(a,1),13633(a,1,2,1))]. 13639 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(4288(a,1),13635(a,1,2,1))]. 13641 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(7288(a,1),13635(a,1,2,1))]. 13642 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),13636(a,1,2,1,1)),flip(a)]. 13643 K(x,K(y \ z,y) \ u) = K(x,K(z,y) \ u). [para(14(a,1),13637(a,1,2,1,1)),flip(a)]. 13644 K(x,K(y,z \ y) \ u) = K(x,K(z,z \ y) \ u). [para(14(a,1),13638(a,1,2,1,1))]. 13645 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(198,a,13639,a,b,13641,a),flip(a)]. 13646 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(198,a,7385,a,b,13641,a)]. 13647 K(x,T(y / z,y) \ u) = K(x,(z \ y) \ u). [para(60(a,1),13641(a,1,2,1,1)),flip(a)]. 13648 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(13642(a,1),8251(a,1))]. 13649 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(4088(a,1),13648(a,1,2))]. 13650 K(x,T(y,z \ u) \ (u / T(z,u))) != w | K(x,(u / T(z,u)) / y) = w. [para(13514(a,1),13648(a,1,2,1))]. 13651 K(T(x / y,x) \ z,u) = (w * K(u,(y \ x) \ z)) \ w. [para(13647(a,1),7385(a,1,1,2)),flip(a)]. 13654 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(13646(a,2),7398(a,1))]. 13655 K(T(x / y,x) \ z,u) = K((y \ x) \ z,u). [hyper(198,a,7385,a(flip),b,13651,a)]. 13656 K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). [para(57(a,1),13655(a,1,1,1,1)),flip(a)]. 13657 K(T(x,y) \ y,z) = K(y / x,z). [hyper(8158,a,13656,a),flip(a)]. 13658 K(T(x,x \ y) \ z,u) = K(T(x,y) \ z,u). [para(107(a,2),13656(a,1,1,1))]. 13659 K(T(x,y) \ y,z) != u | K(y / x,z) = u. [para(13656(a,1),8158(a,1))]. 13660 K(T(x,y \ z) \ (T(z,y) / y),u) != w | K((T(z,y) / y) / x,u) = w. [para(13511(a,1),13659(a,1,1,1))]. 13661 K(T(x * y,y) \ ((x * y) * z),u) = K(K(y * x,x \ 1) \ z,u). [hyper(198,a,13052,a(flip),b,13658,a(flip))]. 13662 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [hyper(13191,a,13634,a)]. 13664 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(8682(a,1),13662(a,1,2,2))]. 13665 K(x,y \ (z * R(u,w,u))) = K(x,y \ (z * u)). [para(12543(a,1),13662(a,1,2,2))]. 13666 K(x,y \ ((z \ u) * z)) = K(x,y \ T(u,z)). [para(14(a,1),13664(a,1,2,2,1)),flip(a)]. 13668 K(x,y \ (z * ((u \ w) \ w))) = K(x,y \ (z * T(u,w))). [para(7288(a,1),13665(a,1,2,2,2))]. 13671 T(x,y \ (z * ((u \ w) \ w))) = (K(v5,v6) / x) \ (K(v6,v5) \ K(x,y \ (z * T(u,w)))). [para(13668(a,1),6286(a,1,2,2)),flip(a)]. 13672 K(K(x * y,y \ 1) \ z,u) != w | K(K(y * x,x) \ z,u) = w. [para(13661(a,1),8599(a,1))]. 13673 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). [para(24(a,2),13487(a,2,2))]. 13674 a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). [hyper(198,a,13303,a(flip),b,13673,a(flip)),flip(a)]. 13676 a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). [para(5075(a,1),13674(a,1,2,2))]. 13677 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),13578(a,2,2))]. 13678 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(198,a,13593,a(flip),b,13677,a(flip)),flip(a)]. 13680 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(13678(a,1),13413(a,1,2))]. 13681 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(198,a,5512,a(flip),b,13680,a(flip)),flip(a)]. 13682 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13451(a,2),13681(a,1,1))]. 13683 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(198,a,12563,a(flip),b,13682,a(flip)),flip(a)]. 13684 T((x * y) * L((x * y) \ x,z,u),x) = y * (x * L(x \ (y \ x),z,u)). [hyper(198,a,1915,a(flip),b,13604,a(flip)),flip(a)]. 13686 T(x * (y * L(y \ 1,z,u)),x) = y * (x * L(x \ (y \ x),z,u)). [para(787(a,1),13684(a,1,1))]. 13687 T(x * (y * L(y \ 1,z,u)),x) = (y * L(y \ 1,z,u)) * x. [hyper(198,a,1654,a(flip),b,13686,a)]. 13688 T(x * ((1 / y) * L(y,z,u)),x) = ((1 / y) * L((1 / y) \ 1,z,u)) * x. [para(60(a,1),13687(a,1,1,2,2,1))]. 13689 (T(x,y) * (z * L(z \ 1,u,w))) \ (x * ((z * L(z \ 1,u,w)) * T(x,y))) = T(x,K(T(x,y) * (z * L(z \ 1,u,w)),y)). [para(13687(a,1),8537(a,1,2,2))]. 13690 T(x * (y \ L(y,z,u)),x) = ((1 / y) * L((1 / y) \ 1,z,u)) * x. [para(4821(a,1),13688(a,1,1,2))]. 13691 T(x * (y \ L(y,z,u)),x) = ((1 / y) * L(y,z,u)) * x. [para(60(a,1),13690(a,2,1,2,1))]. 13692 T(x * (y \ L(y,z,u)),x) = (y \ L(y,z,u)) * x. [para(4821(a,1),13691(a,2,1))]. 13693 x \ T((x / (y \ L(y,z,u))) * (y \ L(y,z,u)),x / (y \ L(y,z,u))) = K(y \ L(y,z,u),(y \ L(y,z,u)) \ x). [hyper(65,a,13692,a,b,5156,a)]. 13694 ((x \ L(x,y,z)) * u) \ L(u * (x \ L(x,y,z)),(u * (x \ L(x,y,z))) \ u,u * (x \ L(x,y,z))) = K((u * (x \ L(x,y,z))) \ u,u * (x \ L(x,y,z))). [para(13692(a,1),5432(a,1,1))]. 13695 T(x \ L(x,y,z),(1 / x) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [para(4821(a,1),13607(a,2,1)),flip(a)]. 13696 T(x \ L(x,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [hyper(198,a,4550,a(flip),b,13695,a(flip)),flip(a)]. 13697 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(13189,a,13631,a)]. 13699 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [para(12522(a,1),13697(a,1,2))]. 13700 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(198,a,13627,a(flip),b,13699,a)]. 13701 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(32(a,2),13700(a,2,2))]. 13702 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [hyper(13508,a,13701,a),flip(a)]. 13704 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(13702(a,1),12553(a,1,2))]. 13705 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(13(a,1),13704(a,1,2,1)),flip(a)]. 13706 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(12608,a,13705,a),flip(a)]. 13707 (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(13706(a,2),8498(a,1,1,2,2))]. 13708 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(12522(a,1),13706(a,1,1))]. 13709 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(65,a,13708,a,b,xx)]. 13710 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [hyper(198,a,4924,a(flip),b,13709,a)]. 13711 K(x * a(y,z,y),u) = K(x,u). [hyper(13240,a,13710,a)]. 13712 K(T(x,y) / y,z) = K(y \ x,z). [para(8687(a,1),13711(a,1,1))]. 13714 K(x / T(y,x),z) = K(y \ x,z). [hyper(198,a,10024,a(flip),b,13712,a(flip)),flip(a)]. 13715 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(13712(a,1),10023(a,2,2))]. 13716 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(13715(a,1),10108(a,1,1,2))]. 13717 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),13716(a,1,1))]. 13718 L(x,K(y \ x,z),x) = x. [hyper(7960,a,13717,a)]. 13720 L(x,K(y,z),x) = x. [para(60(a,1),13718(a,1,2,1))]. 13721 T(K(x,y) * z,z) = z * K(x,y). [hyper(10306,a,13720,a)]. 13722 T(x * K(y,z),L(x,K(y,z),x)) = x \ (x * (K(y,z) * x)). [para(13720(a,1),389(a,1,1)),flip(a)]. 13725 T(K(x,y) \ z,z) = z * K(y,x). [para(5281(a,2),13721(a,1,1))]. 13726 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(5192(a,1),13721(a,1,1))]. 13727 T(T(K(x,y) \ z,u),z) = T(z * K(y,x),u). [para(13725(a,1),38(a,1,1)),flip(a)]. 13728 T(T(x,T(K(y,z) \ x,u)),x \ T(K(y,z) \ x,u)) = (x \ T(x * K(z,y),u)) \ T(K(y,z) \ x,u). [para(13727(a,1),8140(a,1,1,2)),flip(a)]. 13729 (x \ T(K(y,z) \ x,u)) * ((x \ T(x * K(z,y),u)) \ T(K(y,z) \ x,u)) = (x * T(K(y,z) \ x,u)) / x. [para(13727(a,1),10524(a,1,2,1,2))]. 13730 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(6174,a,13726,a)]. 13731 T(x * K(y,z),L(x,K(y,z),x)) = x \ (x * (K(z,y) \ x)). [para(5281(a,2),13722(a,2,2,2))]. 13732 T(x * K(y,z),L(x,K(y,z),x)) = K(z,y) \ x. [hyper(198,a,13,a(flip),b,13731,a)]. 13733 T(x * K(y,z),x) = K(z,y) \ x. [hyper(8788,a,13732,a)]. 13736 (x * (K(y,z) \ x)) / x = x * K(z,y). [para(13733(a,1),145(a,1,1,2))]. 13737 (x * T(K(y,z) \ x,u)) / x = T(x * K(z,y),u). [para(13733(a,1),181(a,1,1,2,1))]. 13738 K(x,((y * z) \ z) \ 1) \ (y * z) = T(T(y,x) * z,y * z). [para(5727(a,1),13733(a,1,1)),flip(a)]. 13739 T(x,K(y,z) \ x) = K(y,z) * (x * K(z,y)). [para(13736(a,1),3945(a,1,2)),flip(a)]. 13740 T(x,K(y,z) \ x) = T(x,K(y,z)). [hyper(198,a,7776,a(flip),b,13739,a)]. 13741 T(T(x,y) * z,x * z) = T(x,T(y,z)) * z. [hyper(198,a,8510,a(flip),b,13738,a(flip))]. 13742 K(T(x,y),T(z,x * z)) \ (T(x,T(y,z)) * z) = T(z * T(x,y),x * z). [para(13741(a,1),11418(a,1,2))]. 13743 K(T(x,y),T(z,x)) \ (T(x,T(y,z)) * z) = T(z * T(x,y),x * z). [para(7093(a,1),13742(a,1,1))]. 13744 K(x,T(T(y,x),z)) \ (T(x,T(z,y)) * y) = T(y * T(x,z),x * y). [para(7172(a,1),13743(a,1,1))]. 13745 K(x,T(y,z)) \ (T(x,T(z,y)) * y) = T(y * T(x,z),x * y). [para(5117(a,1),13744(a,1,1))]. 13746 a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). [para(11482(a,1),13676(a,1,2)),flip(a)]. 13747 a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). [hyper(198,a,13674,a(flip),b,13746,a)]. 13748 a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). [para(6146(a,1),13747(a,1,2))]. 13749 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x * a(y,z,y),u,w). [para(13624(a,1),13630(a,1,2,1))]. 13750 T(x,y \ (z * ((u \ w) \ w))) != v5 | T(x,y \ (z * T(u,w))) = v5. [para(13671(a,2),6538(a,1))]. 13751 a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w). [hyper(13199,a,13749,a),flip(a)]. 13752 a(x / a(y,z,y),a(y,z,y) * u,w) = a(x,u,w). [para(16(a,1),13751(a,1,1)),flip(a)]. 13753 a(x,a(y,z,y) * u,w) = a(x,u,w). [hyper(198,a,13408,a(flip),b,13752,a(flip)),flip(a)]. 13755 a(x,a(y,z,y) \ u,w) = a(x,u,w). [para(14(a,1),13753(a,1,2)),flip(a)]. 13756 a(x,y * a(z,u,z),w) = a(x,y,w). [para(12522(a,1),13753(a,1,2))]. 13757 a(x,y * (T(z,y) / y),u) = a(x,z,u). [para(13490(a,1),13753(a,1,2))]. 13758 a(x,((y \ 1) * y) \ z,u) = a(x,z,u). [para(8675(a,1),13755(a,1,2,1))]. 13759 a(x,y \ (z * a(u,w,u)),v5) = a(x,y \ z,v5). [para(13495(a,2),13756(a,1,2))]. 13760 a(x,y * (((y \ T(z,y)) * T(y,u)) / y),w) = a(x,(y \ z) * T(y,u),w). [para(8305(a,1),13757(a,1,2,2,1))]. 13761 a(x,y \ ((z * (1 / z)) \ u),w) = a(x,y \ u,w). [para(6849(a,1),13758(a,1,2)),flip(a)]. 13762 a(x,y \ (T(z * u,z) / z),w) = a(x,y \ u,w). [para(8674(a,2),13759(a,1,2,2))]. 13763 a(x,y \ T(z * u,z),w) = a(x,y \ (u * z),w). [para(8683(a,1),13759(a,1,2,2))]. 13764 a(x,y \ (z * (T(u,z) / z)),w) = a(x,y \ u,w). [para(8739(a,1),13759(a,1,2,2))]. 13765 a(x,y \ (z * ((1 / z) * u)),w) = a(x,y \ L(u,1 / z,z),w). [para(28(a,2),13761(a,1,2,2)),flip(a)]. 13766 a(x,y \ (z \ T(y * u,y)),x) = a(x,z \ u,x). [hyper(198,a,13571,a,b,13762,a(flip)),flip(a)]. 13767 a(x,y \ (z * ((1 / z) * u)),w) = a(x,y \ L(u,z \ 1,z),w). [para(2901(a,1),13765(a,2,2,2))]. 13768 a(x,y * ((y \ T(z,y)) * K(y,u)),w) = a(x,(y \ z) * T(y,u),w). [para(6249(a,1),13760(a,1,2,2))]. 13769 a(x,y * (y \ (T(z,y) * K(y,u))),w) = a(x,(y \ z) * T(y,u),w). [para(7020(a,2),13768(a,1,2,2))]. 13770 a(x,y * (y \ (y \ (z * T(y,u)))),w) = a(x,(y \ z) * T(y,u),w). [para(7478(a,2),13769(a,1,2,2,2))]. 13771 a(x,y \ (z * T(y,u)),w) = a(x,(y \ z) * T(y,u),w). [para(14(a,1),13770(a,1,2))]. 13773 ((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(R(x,y,z),y * z,a(u,w,u)). [para(13474(a,1),13496(a,1,2))]. 13774 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(13559(a,1),13561(a,1,2,2,1))]. 13776 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4248(a,2),13774(a,1,2))]. 13778 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4232(a,1),13776(a,1,2,2))]. 13779 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(13028(a,1),13778(a,1,2))]. 13780 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(704(a,1),13779(a,1,2)),flip(a)]. 13781 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(198,a,10016,a(flip),b,13780,a(flip)),flip(a)]. 13782 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(65,a,13781,a(flip),b,4924,a(flip))]. 13784 (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(13781(a,1),5432(a,1,1))]. 13785 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(8658,a,13782,a),flip(a)]. 13786 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(198,a,11746,a(flip),b,13785,a)]. 13787 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),13786(a,1,1))]. 13788 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(198,a,6981,a(flip),b,13787,a(flip)),flip(a)]. 13789 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11671(a,1),13788(a,2,3))]. 13790 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(198,a,11891,a(flip),b,13789,a)]. 13792 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(198,a,11004,a(flip),b,13790,a(flip)),flip(a)]. 13794 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(198,a,5797,a,b,13792,a(flip)),flip(a)]. 13795 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),13792(a,1,2))]. 13796 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6570,a,13795,a)]. 13797 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(198,a,11013,a(flip),b,13796,a(flip)),flip(a)]. 13798 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11652(a,1),13797(a,2,3))]. 13799 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(60(a,1),13798(a,2,3,1))]. 13802 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(13799(a,1),5288(a,1,2,1)),flip(a)]. 13803 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(198,a,10789,a(flip),b,13802,a)]. 13804 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(13803(a,1),4924(a,2,2))]. 13805 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(13803(a,1),11902(a,1,3)),flip(a)]. 13806 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(198,a,11906,a,b,13805,a(flip)),flip(a)]. 13807 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(13805(a,1),12066(a,1,1))]. 13809 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(13806(a,1),10164(a,1,2))]. 13811 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(12324(a,1),13809(a,1,2)),flip(a)]. 13812 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(198,a,12,a(flip),b,13811,a)]. 13813 K(L(x,y,z) \ x,u) != w | K(a(z,y,x),u) = w. [para(13811(a,2),74(a,1)),flip(b)]. 13815 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(198,a,10858,a,b,13812,a(flip)),flip(a)]. 13816 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(13812(a,1),10190(a,1,2,2)),flip(a)]. 13817 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(198,a,10190,a(flip),b,13816,a)]. 13818 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(13817(a,1),4924(a,2,2))]. 13819 K(x,K(y,z \ L(z,u,w))) = K(x,K(y,a(w,u,z))). [para(13817(a,1),8004(a,1,2)),flip(a)]. 13820 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(198,a,4924,a,b,13818,a)]. 13821 R(R(x,y,z),y * z,a(u,w,u)) = R(x,y,z * a(u,w,u)). [hyper(434,a,13773,a),flip(a)]. 13822 R(x,y,z * a(u,w,u)) = R(x,y,z). [hyper(198,a,13494,a(flip),b,13821,a(flip))]. 13824 R(x,y,a(z,u,z) \ w) = R(x,y,w). [para(12526(a,1),13822(a,1,3)),flip(a)]. 13825 R(x,y,a(z,u,z) \ 1) = x. [hyper(198,a,300,a(flip),b,13824,a)]. 13826 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(12325(a,1),13807(a,1,1))]. 13827 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(68,a,13826,a)]. 13829 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(198,a,6668,a(flip),b,13827,a(flip)),flip(a)]. 13831 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(13829(a,1),4924(a,2,2)),flip(a)]. 13832 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4927,a,13831,a),flip(a)]. 13833 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(13832(a,2),628(a,1,1))]. 13834 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(198,a,13804,a(flip),b,13833,a)]. 13835 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(11612,a,13489,a)]. 13836 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(198,a,13554,a(flip),b,13835,a(flip)),flip(a)]. 13837 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(28(a,2),13836(a,1,2,2))]. 13838 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4809(a,1),13837(a,1,2))]. 13839 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(198,a,11241,a(flip),b,13838,a(flip)),flip(a)]. 13840 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(198,a,13478,a(flip),b,13839,a),flip(a)]. 13842 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(134(a,1),13840(a,1,2,2))]. 13843 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(13842(a,1),10304(a,1,1,2))]. 13844 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(14(a,1),13707(a,1,1,2,2,1)),flip(a)]. 13845 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(198,a,7496,a(flip),b,13844,a)]. 13847 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(8877(a,1),13845(a,1,2,1)),flip(a)]. 13848 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(12540(a,1),13845(a,1,2,1,2))]. 13850 L(K(x,y / ((x \ z) * u)),w,v5) \ L(K(x,x \ (y / ((x \ z) * u))),w,v5) = a(x,x \ (y / ((z / x) * u)),x). [para(11821(a,1),13602(a,1,2,1))]. 13852 a(x,x \ (y / ((z / x) * u)),x) = a(x,x \ (y / ((x \ z) * u)),x). [hyper(198,a,13599,a(flip),b,13850,a(flip))]. 13853 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(12568(a,1),13632(a,1,2,1)),flip(a)]. 13854 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(13626(a,1),13853(a,2,2))]. 13855 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(198,a,30,a,b,13854,a)]. 13856 R(x,y * (a(z,u,z) \ 1),w) = R(x,y,a(z,u,z) \ w). [para(13825(a,1),13855(a,1,1))]. 13857 R(x,y / a(z,u,z),w) = R(x,y,a(z,u,z) \ w). [para(12568(a,1),13856(a,1,2))]. 13858 R(x,y * a(z,u,z),a(z,u,z) \ w) = R(x,y,w). [para(15(a,1),13857(a,1,2)),flip(a)]. 13859 R(x,y * a(z,u,z),w) = R(x,y,w). [hyper(198,a,13824,a(flip),b,13858,a(flip)),flip(a)]. 13861 R(x,a(y,z,y) \ u,w) = R(x,u,w). [para(12526(a,1),13859(a,1,2)),flip(a)]. 13862 R(x,((y \ 1) * y) \ z,u) = R(x,z,u). [para(8675(a,1),13861(a,1,2,1))]. 13863 R(x,((y \ 1) * y) \ (((z \ 1) \ 1) \ u),w) = R(x,z \ u,w). [hyper(198,a,10718,a(flip),b,13862,a)]. 13864 R(x,((y \ 1) \ ((z \ 1) * z)) \ u,w) = R(x,y \ u,w). [para(6863(a,1),13863(a,1,2))]. 13865 R(x,(y / ((z \ 1) \ 1)) \ u,w) = R(x,(y / z) \ u,w). [hyper(198,a,12223,a(flip),b,13864,a(flip)),flip(a)]. 13867 K(x \ L(x,y,z),(x \ L(x,y,z)) \ u) = u \ T(u,u / (x \ L(x,y,z))). [para(16(a,1),13693(a,1,2,1)),flip(a)]. 13868 K(x \ L(x,y,z),(x \ L(x,y,z)) \ u) = u \ T(u,(x \ L(x,y,z)) \ u). [para(3942(a,1),13867(a,2,2))]. 13869 K(x \ L(x,y,z),(x \ L(x,y,z)) \ u) = u \ T(u,L(x,y,z) \ (x * u)). [para(6636(a,1),13868(a,2,2))]. 13871 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(198,a,6888,a(flip),b,13290,a)]. 13872 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(8545(a,1),13871(a,2,1,2))]. 13873 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7478(a,1),13872(a,2,1))]. 13874 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3098(a,1),13873(a,2,1,1))]. 13875 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(7428(a,1),13874(a,2,2))]. 13876 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(10534(a,1),13484(a,1,1))]. 13878 (L(x,y,z) * T(u,x)) \ L(u * L(x,y,z),L(x,y,z) \ x,u * L(x,y,z)) = K((u * L(x,y,z)) \ (u * x),u * L(x,y,z)). [para(13563(a,1),13784(a,1,2))]. 13880 ((x \ L(x,y,z)) * u) \ L(u * (x \ L(x,y,z)),(x \ L(x,y,z)) \ (u \ u),u * (x \ L(x,y,z))) = K((u * (x \ L(x,y,z))) \ u,u * (x \ L(x,y,z))). [para(13564(a,1),13694(a,1,2))]. 13881 ((x \ L(x,y,z)) * u) \ L(u * (x \ L(x,y,z)),(x \ L(x,y,z)) \ 1,u * (x \ L(x,y,z))) = K((u * (x \ L(x,y,z))) \ u,u * (x \ L(x,y,z))). [para(49(a,1),13880(a,1,2,2,2))]. 13883 ((x \ L(x,y,z)) * u) \ L(u * (x \ L(x,y,z)),L(x,y,z) \ x,u * (x \ L(x,y,z))) = K((u * (x \ L(x,y,z))) \ u,u * (x \ L(x,y,z))). [para(12426(a,1),13881(a,1,2,2))]. 13884 (((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(5795(a,1),9609(a,1,1,1))]. 13885 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1749(a,1),13843(a,2,1))]. 13886 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(198,a,13494,a(flip),b,13885,a)]. 13888 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(11967(a,1),13886(a,1,1))]. 13889 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(198,a,11991,a(flip),b,13888,a(flip)),flip(a)]. 13890 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(198,a,13834,a(flip),b,13889,a(flip))]. 13891 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(13890(a,2),12187(a,1,1))]. 13892 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(13890(a,2),12189(a,1,1))]. 13893 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(375,a,13891,a)]. 13894 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(4740(a,1),13893(a,1,1))]. 13895 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(375,a,13892,a)]. 13896 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(12154(a,1),13894(a,1,2,1))]. 13897 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(198,a,13893,a(flip),b,13896,a(flip))]. 13898 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4529(a,1),11681(a,1,2,1)),flip(a)]. 13899 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2454(a,1),13898(a,2,2,2))]. 13901 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(12501(a,1),13899(a,2,2))]. 13902 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(198,a,5281,a(flip),b,13901,a)]. 13903 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(198,a,4815,a(flip),b,13902,a)]. 13904 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(4529(a,1),13903(a,1,2,2,2))]. 13906 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(5281(a,1),13904(a,1,2,2))]. 13907 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(11682(a,1),13906(a,1,2,2)),flip(a)]. 13908 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(198,a,8763,a(flip),b,13907,a)]. 13909 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(130(a,1),13908(a,2,2))]. 13910 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * 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(4812(a,1),10193(a,1,2,1,2,2,2))]. 13911 (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(4557(a,1),13910(a,1,2,1,2,2))]. 13912 (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(7711(a,1),13911(a,1,2,1))]. 13913 (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(10260(a,1),13912(a,1,2,1,2))]. 13914 (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(7313(a,1),13913(a,1,2,1,2))]. 13916 (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(8007(a,1),13914(a,1,2,1))]. 13917 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4812(a,1),13916(a,1,2,2,1,2,1,2,2))]. 13918 (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(4557(a,1),13917(a,1,2,2,1,2,1,2))]. 13919 (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(7679(a,1),13918(a,1,2,2,1,2))]. 13920 (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(10199(a,1),13919(a,1,2,2,1,2,2))]. 13921 (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(7182(a,1),13920(a,1,2,2,1,2,2))]. 13923 (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(7996(a,1),13921(a,1,2,2,1,2))]. 13924 (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(5011(a,1),13923(a,1,2,2,1))]. 13925 (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(9807(a,2),13924(a,1,2))]. 13926 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(198,a,9808,a(flip),b,13925,a(flip)),flip(a)]. 13927 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(1235(a,1),13926(a,1,2)),flip(a)]. 13928 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(198,a,7756,a(flip),b,13927,a)]. 13929 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1038(a,1),13928(a,1,1)),flip(a)]. 13930 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(198,a,12963,a,b,13929,a(flip)),flip(a)]. 13931 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1038(a,1),13930(a,1,1))]. 13932 (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(13931(a,1),12764(a,1,2))]. 13933 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12765,a,13932,a),flip(a)]. 13934 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(198,a,7715,a,b,13933,a)]. 13935 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(198,a,12396,a(flip),b,13934,a(flip)),flip(a)]. 13936 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(198,a,7711,a,b,13935,a)]. 13937 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(12397,a,13936,a)]. 13938 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(198,a,13100,a,b,13937,a(flip)),flip(a)]. 13939 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(198,a,13819,a(flip),b,13938,a)]. 13940 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(7920,a,13939,a)]. 13941 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13939(a,1),7920(a,1))]. 13942 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(198,a,7708,a,b,13940,a(flip)),flip(a)]. 13943 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(198,a,12971,a,b,13942,a(flip)),flip(a)]. 13944 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(8945,a,13943,a)]. 13945 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(198,a,13464,a(flip),b,13944,a(flip)),flip(a)]. 13946 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9549(a,1),13945(a,1,1)),flip(a)]. 13947 K(x,K(y * z,a(y,z,u))) = 1. [hyper(198,a,12383,a(flip),b,13946,a)]. 13948 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13941,a,13947,a)]. 13951 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13948(a,1),9910(a,1,2)),flip(a)]. 13952 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(198,a,12,a(flip),b,13951,a)]. 13954 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(198,a,10577,a,b,13952,a(flip)),flip(a)]. 13955 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13451(a,2),13954(a,1,1))]. 13956 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(198,a,13428,a,b,13955,a(flip)),flip(a)]. 13957 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(198,a,13430,a(flip),b,13956,a(flip)),flip(a)]. 13959 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13957(a,1),13683(a,1,2))]. 13960 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(198,a,12566,a(flip),b,13959,a(flip)),flip(a)]. 13961 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5171,a,13960,a)]. 13962 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(198,a,13957,a(flip),b,13961,a)]. 13963 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(198,a,13294,a(flip),b,13961,a)]. 13964 (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u) = K(x,K(y,u)) * ((((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * K((z \ 1) \ (x / z),y)). [para(12376(a,1),12293(a,1,1)),flip(a)]. 13965 (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u) = K(x,K(y,u)) * ((x / z) * K((z \ 1) \ (x / z),y)). [para(60(a,1),13964(a,2,2,1))]. 13968 (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u) = K(x,K(y,u)) * (T(x,y) / z). [para(6545(a,1),13965(a,2,2))]. 13969 (x / y) * T(T((T(x,z) / y) / (x / y),T(x,z) / y),u) = K(x,K(z,u)) * (T(x,z) / y). [hyper(542,a,13968,a)]. 13971 K(x,K(y,z)) * (T(x,y) / u) = (x / u) * T(K((u \ 1) \ (x / u),y),z). [para(7286(a,1),13969(a,1,2,1)),flip(a)]. 13972 K(x,K(y,z)) * (T(x,y) / u) = (x / u) * K((u \ 1) \ (x / u),T(y,z)). [hyper(198,a,7108,a,b,13971,a)]. 13973 K(x,K(y,z)) * (T(x,y) / u) = T(x,T(y,z)) / u. [hyper(198,a,6545,a(flip),b,13972,a)]. 13974 T(x \ 1,x) \ (L(x,y,z) \ u) = (x \ 1) \ (L(1 / (1 / x),y,z) \ u). [para(550(a,1),12284(a,1,1)),flip(a)]. 13975 L(T(x \ 1,x) \ (L(x,y,z) \ u),x \ 1,x) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [para(13974(a,2),406(a,1,1))]. 13977 ((x \ 1) * x) \ (x * (L(x,y,z) \ u)) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [hyper(198,a,11386,a(flip),b,13975,a(flip)),flip(a)]. 13978 ((x \ 1) * x) \ (L(x,y,z) \ (x * u)) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [para(1180(a,2),13977(a,1,2))]. 13979 L(x,y,z) \ (T(x,x \ 1) * u) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [hyper(198,a,6851,a(flip),b,13978,a(flip)),flip(a)]. 13980 L(x,y,z) \ (T(x,x \ 1) * u) = x * (L(1 / (1 / x),y,z) \ u). [hyper(198,a,48,a(flip),b,13979,a)]. 13981 L(x,y,z) \ (((x \ 1) \ 1) * u) = x * (L(1 / (1 / x),y,z) \ u). [para(107(a,1),13980(a,1,2,1))]. 14145 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(13470(a,1),286(a,1)),flip(b)]. 14543 L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),w,v5) = a(x,a(z,T(y,z),u),x). [para(154(a,1),13570(a,2,2))]. 14544 L(a(x,L(y,z,u) \ y,x),w,v5) = a(x,a(u,T(z,u),y),x). [para(11364(a,2),14543(a,1,1,2,1))]. 14545 L(a(x,L(y,z,u) \ y,x),w,v5) = a(x,a(u,z,y),x). [hyper(198,a,13748,a(flip),b,14544,a)]. 14546 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [hyper(14145,a,14545,a)]. 14547 K(x,L(y,z,u) \ y) \ a(x,a(u,z,y),x) = K(x * (L(y,z,u) \ y),x). [hyper(65,a,14546,a(flip),b,8664,a)]. 14548 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(14546(a,1),8872(a,1,1)),flip(a)]. 14549 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(198,a,8872,a(flip),b,14548,a)]. 14550 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(14549(a,1),13794(a,1,2))]. 14551 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(198,a,5512,a(flip),b,14550,a(flip)),flip(a)]. 14552 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(198,a,7264,a(flip),b,14551,a(flip)),flip(a)]. 14553 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(13820(a,1),14552(a,1,2,1))]. 14554 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5171,a,14553,a)]. 14555 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(198,a,13963,a(flip),b,14554,a(flip)),flip(a)]. 14556 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(198,a,13962,a(flip),b,14554,a(flip))]. 14557 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14555(a,1),12913(a,1,1,2))]. 14558 (x * y) * a(z,u,K(y,w)) = x * T(y,a(z,u,w)). [para(14556(a,2),6257(a,1,2))]. 14559 (x * y) * a(z,u,K(y,w)) != x * v5 | T(y,a(z,u,w)) = v5. [para(14556(a,2),6304(a,1,2))]. 14561 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(10175,a,14557,a),flip(a)]. 14562 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(198,a,14555,a(flip),b,14561,a(flip))]. 14563 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(14561(a,1),81(a,1,2))]. 14564 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(14561(a,1),121(a,1,2))]. 14565 K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). [hyper(11756,a,14562,a)]. 14566 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(198,a,14561,a,b,14562,a),flip(a)]. 14567 L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). [hyper(198,a,10150,a,b,14562,a),flip(a)]. 14568 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(198,a,14556,a(flip),b,14562,a)]. 14569 a(x,y,K(y * x,z)) = 1. [hyper(198,a,11752,a(flip),b,14562,a)]. 14570 a(x \ 1,x,K(y,z)) = 1. [hyper(198,a,10412,a(flip),b,14562,a)]. 14571 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(21,a,14562,a)]. 14572 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [hyper(198,a,10144,a,b,14562,a(flip)),flip(a)]. 14573 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(7712(a,1),14562(a,1,3))]. 14574 a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). [para(7732(a,1),14562(a,1,3))]. 14575 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(14562(a,2),10149(a,1,2))]. 14576 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(14562(a,2),10788(a,1,1))]. 14577 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(14562(a,1),13890(a,2,2))]. 14578 L(K(x * y,z),x,y) = K(x * y,z). [hyper(33,a,14569,a)]. 14579 L(K(x,y),z,z \ 1) = K(x,y). [hyper(33,a,14570,a)]. 14580 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(11724,a,14579,a)]. 14583 K(L(x,y,y \ 1),z) = K(x,z). [hyper(198,a,11736,a(flip),b,14579,a(flip)),flip(a)]. 14584 L(K(x,y),z \ 1,z) = K(x,y). [hyper(198,a,11369,a(flip),b,14579,a(flip)),flip(a)]. 14586 (1 / x) \ K(y,z) = x * K(y,z). [hyper(65,a,14579,a(flip),b,2880,a)]. 14588 K(x,y * (z \ 1)) = K(x,y / z). [hyper(198,a,13281,a(flip),b,14580,a(flip)),flip(a)]. 14589 K(x,(y \ 1) \ z) = K(x,y * z). [para(2893(a,1),14580(a,1,2)),flip(a)]. 14591 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(65,a,14583,a(flip),b,13285,a),flip(a)]. 14594 K((x \ 1) \ y,z) = K(x * y,z). [para(2893(a,1),14583(a,1,1)),flip(a)]. 14595 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [hyper(9885,a,14584,a)]. 14599 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(65,a,14584,a(flip),b,168,a),flip(a)]. 14600 L(K(x,y),z,u) \ K(x,y) = a(K(y,x),z,u). [hyper(198,a,10152,a,b,14566,a),flip(a)]. 14601 x * a(K(y,z),u,w) = x * a(w,u,K(z,y)). [hyper(21,a,14566,a)]. 14603 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(14568(a,2),4924(a,2,2)),flip(a)]. 14604 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(14568(a,1),14556(a,2,2))]. 14605 (x / y) \ T(x,z) = y * K(x,z). [hyper(12054,a,14586,a)]. 14606 (x \ y) * K(y,z) = x \ T(y,z). [hyper(12049,a,14586,a),flip(a)]. 14610 x \ ((1 / x) \ K(y,z)) = K(y,z). [hyper(65,a,14586,a,b,xx)]. 14611 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(14586(a,2),19(a,1))]. 14619 T(x,y * (1 / z)) = x * K(x,y / z). [para(14588(a,1),4995(a,1,2)),flip(a)]. 14621 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(198,a,13034,a,b,14589,a),flip(a)]. 14622 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(198,a,5673,a(flip),b,14589,a(flip))]. 14623 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [para(14589(a,1),14586(a,1,2))]. 14624 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [hyper(198,a,5281,a(flip),b,14591,a)]. 14625 (K(x,y) \ z) \ 1 = z \ K(x,y). [para(5281(a,2),14591(a,1,1))]. 14631 K((x \ 1) * y,z) = K(x \ y,z). [hyper(198,a,5460,a(flip),b,14594,a(flip))]. 14634 x * (y * K(x * y,z)) = T(x * y,z). [para(14594(a,1),6546(a,1,2,2))]. 14635 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(14594(a,1),6548(a,1,1,2))]. 14638 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(14594(a,1),9842(a,1,1,2))]. 14652 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(14599(a,1),7398(a,1,1))]. 14656 (x / y) * (y * K(x,z)) = T(x,z). [para(14605(a,1),14(a,1,2))]. 14664 (x \ (y * (z / y))) * K(y * (z / y),u) = x \ (y * (T(z,u) / y)). [para(4650(a,1),14606(a,2,2))]. 14668 x \ ((1 / x) \ K(y,z * u)) = K(y,(z \ 1) \ u). [hyper(198,a,14589,a,b,14610,a)]. 14673 K(x,y \ L(x,z,u)) = K(x,x * (y \ 1)). [hyper(198,a,11661,a(flip),b,14622,a(flip))]. 14676 (x \ y) \ K(x \ y,T(x,z)) = (T(y,K(x,z)) / x) \ 1. [para(10778(a,1),14625(a,1,1)),flip(a)]. 14681 T(x,y) / (z \ x) = K(x,y) * z. [hyper(66,a,14656,a(flip),b,11425,a)]. 14682 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(65,a,14656,a(flip),b,11425,a)]. 14684 K(x,y) * (1 / z) = K(x,y) / z. [hyper(198,a,12050,a(flip),b,14681,a(flip))]. 14685 K(x,y) * (x / z) = T(x,y) / z. [para(60(a,1),14681(a,1,2)),flip(a)]. 14687 (K(x,y) \ z) \ T(y,x) = z \ y. [para(5281(a,2),14682(a,1,1))]. 14689 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [para(4875(a,2),14684(a,1,2))]. 14690 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(14684(a,1),7281(a,1,1))]. 14691 K(x,y) * (T(y,x) / z) = y / z. [hyper(5311,a,14685,a)]. 14692 K(x,y) \ (y / z) = T(y,x) / z. [hyper(5307,a,14685,a)]. 14694 (K(x,y) \ z) \ (y * x) = z \ (x * y). [hyper(198,a,13444,a(flip),b,14687,a(flip)),flip(a)]. 14695 K(K(x,y) \ (y / z),u) = K(T(y,x) / z,u). [para(14691(a,1),601(a,1,1,2))]. 14699 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(11724,a,14578,a)]. 14700 T(x,y * (1 / z)) = T(x,y / z). [hyper(198,a,4924,a,b,14619,a)]. 14701 T(x,y * (1 / z)) != u | T(x,y / z) = u. [para(14619(a,2),4927(a,1))]. 14702 T(x,T(y \ z,y)) = T(x,z * (1 / y)). [hyper(198,a,8025,a,b,14700,a),flip(a)]. 14703 T(x,y / (1 / z)) = T(x,y * z). [hyper(198,a,4558,a(flip),b,14700,a(flip))]. 14706 K(x * (1 / y),z) = z / T(z,x / y). [para(14700(a,1),4869(a,2,2))]. 14709 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(14621(a,1),13065(a,1))]. 14710 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(11767,a,14634,a)]. 14712 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(14710(a,1),388(a,1,2)),flip(a)]. 14714 (x * y) / (z \ (y * x)) = K(y,x) \ z. [para(14694(a,1),57(a,1,2))]. 14715 T(1 / x,y * (1 / x)) = T(1 / x,x \ y). [hyper(8077,a,14702,a),flip(a)]. 14716 K(x * (1 / y),z) = K(x / y,z). [hyper(198,a,4869,a,b,14706,a)]. 14718 K(x / (1 / y),z) = K(x * y,z). [hyper(198,a,5454,a(flip),b,14716,a(flip))]. 14719 (x * y) / (y * T(x,T(z,y))) = K(y,x) \ K(z,x). [para(8570(a,1),14714(a,1,2))]. 14720 K(x,y \ L(x,z,u)) = K(x,y \ x). [hyper(198,a,5473,a(flip),b,14673,a)]. 14721 T(x,T(y \ z,y)) != u | T(x,z / y) = u. [para(14702(a,2),14701(a,1))]. 14722 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(11399(a,2),14709(a,1))]. 14726 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(7813(a,1),14712(a,2,1,2)),flip(a)]. 14727 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(14565(a,1),11791(a,1))]. 14728 a(K(x,y),z,u) != w | a(u,z,K(y,x)) = w. [para(14561(a,2),14727(a,1))]. 14731 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(7396,a,14567,a)]. 14732 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(7678(a,1),14573(a,2,3)),flip(a)]. 14733 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7715(a,1),14573(a,2,3))]. 14734 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [para(14574(a,1),14575(a,1,2))]. 14735 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(14576(a,1),5723(a,1,2,2,2,1))]. 14736 a(K(x,y),z,u) \ T(y,x) = T(y,L(x,z,u)). [para(14600(a,1),11720(a,1,1))]. 14737 x * a(K(y,z),u,w) != v5 * a(w,u,K(z,y)) | x = v5. [para(14601(a,1),20(a,2))]. 14738 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(7711(a,1),14604(a,1,3))]. 14739 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(198,a,9789,a,b,14624,a(flip)),flip(a)]. 14740 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(14690(a,1),12390(a,1,1))]. 14741 T(1 / x,y * (x \ 1)) = T(1 / x,x \ y). [hyper(5657,a,14715,a)]. 14742 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [para(14562(a,2),14731(a,1,1))]. 14743 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(11816,a,14733,a)]. 14744 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(198,a,14573,a(flip),b,14738,a(flip)),flip(a)]. 14745 T(1 / x,(x \ 1) * y) = T(1 / x,x \ y). [hyper(198,a,13049,a,b,14741,a(flip)),flip(a)]. 14746 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(198,a,8330,a(flip),b,14742,a)]. 14747 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(14742(a,1),20(a,1))]. 14748 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(14742(a,2),8424(a,1))]. 14749 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(14745(a,1),1917(a,1,1))]. 14750 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(14(a,1),14623(a,1,2,2)),flip(a)]. 14752 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,4839,a(flip),b,14638,a)]. 14753 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = v5 \ ((1 / v5) \ K((x * y) \ w,x * y)). [para(9472(a,1),14668(a,1,2,2)),flip(a)]. 14754 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(7472,a,14750,a),flip(a)]. 14755 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(866(a,1),14750(a,1,2,2)),flip(a)]. 14757 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(60(a,1),14754(a,1,1,2)),flip(a)]. 14758 (T(x,y) / z) \ x = z * K(y,x). [hyper(198,a,14586,a(flip),b,14757,a)]. 14761 x / (y * K(z,x)) = T(x,z) / y. [para(14758(a,1),57(a,1,2))]. 14762 1 / (x * K(y,z)) = K(z,y) / x. [para(14758(a,1),12047(a,1,2))]. 14765 (K(x,y) / z) \ 1 = z * K(y,x). [para(14762(a,1),60(a,1,1))]. 14770 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(14762(a,1),6664(a,1,2,1,2,2))]. 14771 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [para(14599(a,1),14762(a,1,2)),flip(a)]. 14772 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(14762(a,2),14690(a,1,1))]. 14774 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(8958,a,14771,a),flip(a)]. 14775 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(5267(a,1),14774(a,1,2))]. 14776 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5710(a,1),14775(a,2,2))]. 14777 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(198,a,8088,a(flip),b,14772,a(flip)),flip(a)]. 14778 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(14777(a,1),14684(a,1,2))]. 14779 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(10963(a,1),14676(a,1,1))]. 14780 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [hyper(198,a,11690,a(flip),b,14734,a)]. 14782 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(198,a,10679,a(flip),b,14776,a)]. 14783 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(14782(a,1),60(a,1,1)),flip(a)]. 14784 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(14783(a,2),2859(a,2,1))]. 14785 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(198,a,10946,a,b,14780,a)]. 14786 (K(x,y) * (z * K(u,w))) * a(x,z,K(u,K(w,y))) = (K(x,y) * z) * K(u,w). [para(7679(a,1),14563(a,1,2,3))]. 14787 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(10174,a,14564,a)]. 14789 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,14739,a)]. 14790 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(198,a,13875,a,b,14789,a(flip)),flip(a)]. 14791 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(9788(a,2),14789(a,1,2))]. 14792 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(14791(a,1),2017(a,1,1)),flip(a)]. 14793 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(198,a,49,a(flip),b,14792,a)]. 14795 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(14793(a,1),2918(a,1,1,2))]. 14796 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(7733(a,1),14743(a,1,2))]. 14797 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(93(a,2),14746(a,2,2,2)),flip(a)]. 14798 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(7711(a,1),14746(a,1,1,3))]. 14799 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(7995(a,1),14746(a,1,1,3))]. 14800 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10954(a,1),14752(a,1,2))]. 14801 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),14800(a,1,2,1))]. 14803 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(128(a,1),14801(a,1,1)),flip(a)]. 14811 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(198,a,6257,a(flip),b,14803,a)]. 14812 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(14811(a,1),57(a,1,2)),flip(a)]. 14813 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(14611,a,14755,a),flip(a)]. 14814 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(198,a,12781,a,b,14813,a(flip)),flip(a)]. 14815 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(198,a,9419,a,b,14813,a(flip)),flip(a)]. 14816 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10752(a,2),14784(a,2,1,1,2,1)),flip(a)]. 14817 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(17,a,14734,a,b,14785,a),flip(a)]. 14818 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(14(a,1),14817(a,1,2)),flip(a)]. 14819 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7715(a,2),14817(a,1,3))]. 14820 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7715(a,2),14819(a,2,3))]. 14821 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(198,a,12660,a(flip),b,14796,a(flip)),flip(a)]. 14822 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(10161(a,1),14821(a,1,1))]. 14823 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(7733(a,1),14822(a,2,3))]. 14824 K(x,x \ y) * K(x * (y / x),z) = y \ (x * (T(y,z) / x)). [para(5154(a,1),14664(a,1,1))]. 14825 K(x,x \ y) * K(y,T(z,x)) = y \ (x * (T(y,z) / x)). [para(13017(a,1),14824(a,1,2))]. 14826 K(x \ y,x) \ K(y,T(z,x)) = y \ (x * (T(y,z) / x)). [hyper(5307,a,14825,a)]. 14828 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11948(a,1),14790(a,1,1))]. 14829 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(14828(a,1),12845(a,1,2)),flip(a)]. 14830 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(198,a,14798,a(flip),b,14799,a(flip))]. 14831 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(60(a,1),14830(a,1,2,2,3)),flip(a)]. 14832 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(48(a,1),14814(a,1,2)),flip(a)]. 14833 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(198,a,5504,a(flip),b,14832,a)]. 14834 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(11006,a,14833,a(flip)),flip(a)]. 14835 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(198,a,9419,a(flip),b,14834,a)]. 14836 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),14835(a,1,2,1,1,1)),flip(a)]. 14837 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9505,a,14836,a),flip(a)]. 14839 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(198,a,9869,a(flip),b,14837,a(flip)),flip(a)]. 14841 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),14839(a,1,2,1,1)),flip(a)]. 14842 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(9556,a,14841,a)]. 14844 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(198,a,13289,a(flip),b,14829,a)]. 14846 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5795(a,1),14844(a,1,2,1))]. 14847 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11948(a,1),14846(a,1,2))]. 14848 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(14847(a,1),60(a,1,1))]. 14849 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(14848(a,1),3273(a,1,1,1))]. 14850 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7711(a,1),14748(a,1,1,3))]. 14851 K(x,a(y,z,u)) \ a(x,a(y,z,u),x) = K(x * (L(u,z,y) \ u),x). [para(13817(a,1),14547(a,1,1))]. 14852 K(x * (L(y,z,u) \ y),x) = K(x * a(u,z,y),x). [hyper(8680,a,14851,a),flip(a)]. 14853 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(198,a,9557,a(flip),b,14842,a(flip))]. 14854 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7577,a,14853,a)]. 14856 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(198,a,10520,a(flip),b,14854,a(flip))]. 14858 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(106(a,1),14856(a,1,2,1,1,2))]. 14859 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(198,a,9508,a(flip),b,14858,a(flip))]. 14860 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(8747,a,14859,a)]. 14861 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(198,a,5787,a(flip),b,14860,a)]. 14862 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(60(a,1),14861(a,2,2,1,1))]. 14863 R(K(x,x * y),y,z) = K(x,T(x * T(y,u),u)). [hyper(198,a,13377,a,b,14862,a),flip(a)]. 14866 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,v5),v5)). [para(14863(a,2),6755(a,1,1))]. 14867 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,v5),v5)). [hyper(198,a,6760,a(flip),b,14866,a(flip)),flip(a)]. 14868 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [hyper(301,a,14867,a)]. 14870 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(198,a,14867,a,b,14868,a(flip)),flip(a)]. 14871 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(13266(a,1),14870(a,1,1))]. 14872 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(13265,a,14871,a)]. 14873 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(198,a,13266,a(flip),b,14872,a)]. 14874 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(198,a,13284,a(flip),b,14873,a(flip))]. 14876 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(198,a,13387,a(flip),b,14874,a(flip))]. 14877 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(14876(a,2),4937(a,2,1)),flip(a)]. 14878 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4938,a,14877,a)]. 14879 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(198,a,13323,a,b,14878,a),flip(a)]. 14880 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(198,a,10479,a(flip),b,14879,a(flip)),flip(a)]. 14881 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(198,a,13275,a,b,14880,a(flip)),flip(a)]. 14883 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3331(a,2),14880(a,2,2,1))]. 14884 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(14561(a,1),14881(a,1,2))]. 14887 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(14818(a,1),14797(a,2,1))]. 14888 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(198,a,14746,a(flip),b,14887,a)]. 14889 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(93(a,1),14888(a,1,2,2))]. 14890 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11371(a,2),14889(a,1,2,2))]. 14891 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = K((x * y) \ w,(x \ 1) \ y). [hyper(198,a,14668,a(flip),b,14753,a)]. 14892 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = K(y \ (x \ w),1 \ (x * y)). [hyper(198,a,11772,a(flip),b,14891,a)]. 14893 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = K(y \ (x \ w),x * y). [para(48(a,1),14892(a,2,2))]. 14894 K(T(T(x * y,z),u) \ w,x * y) = K(y \ (x \ w),x * y). [hyper(14709,a,14893,a)]. 14895 K((x * y) \ z,x * y) = K(y \ (x \ z),x * y). [hyper(9473,a,14894,a)]. 14896 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(14765(a,1),14816(a,1,1,1,2))]. 14897 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10413(a,1),14896(a,1,1,1,2))]. 14898 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5531(a,1),14897(a,1,1,1)),flip(a)]. 14899 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2741(a,2),14898(a,1,2,2,1))]. 14900 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(60(a,1),14899(a,1,2,2))]. 14902 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(13115(a,1),14900(a,1,2))]. 14903 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(14902(a,2),57(a,1,2))]. 14904 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(12(a,1),14795(a,1,1)),flip(a)]. 14905 ((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(9787(a,1),14904(a,2,3))]. 14906 (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(9787(a,1),14905(a,1,1))]. 14907 (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(13258(a,1),14906(a,1,2))]. 14908 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(198,a,12630,a(flip),b,14907,a(flip)),flip(a)]. 14909 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5291(a,1),14908(a,1,2)),flip(a)]. 14910 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(198,a,5291,a(flip),b,14909,a)]. 14913 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(14745(a,1),14749(a,1,2,1,1))]. 14914 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),x \ u). [hyper(1922,a,14913,a),flip(a)]. 14915 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L(x,y,z),x \ u). [para(60(a,1),14914(a,2,1,2,1))]. 14916 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(4821(a,1),14915(a,2,1))]. 14917 T((1 / x) * L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(60(a,1),14916(a,1,1,2,1))]. 14918 T(x \ L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(4821(a,1),14917(a,1,1))]. 14919 T(x \ L(x,y,z),x \ u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [hyper(198,a,13696,a(flip),b,14918,a(flip))]. 14920 T(x \ L(x,y,z),x \ u) = T((1 / x) * L(x,y,z),u). [para(60(a,1),14919(a,2,1,2,1))]. 14921 T(x \ L(x,y,z),x \ u) = T(x \ L(x,y,z),u). [para(4821(a,1),14920(a,2,1))]. 14922 T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u). [para(13(a,1),14921(a,1,2)),flip(a)]. 14923 (x \ L(x,y,z)) \ T(x \ L(x,y,z),u) = K(x \ L(x,y,z),x * u). [hyper(65,a,14922,a(flip),b,4924,a(flip))]. 14924 K(x \ L(x,y,z),x * u) = K(x \ L(x,y,z),u). [hyper(5002,a,14923,a),flip(a)]. 14925 K(x * y,x \ L(x,z,u)) = K(x \ L(x,z,u),y) \ 1. [para(14924(a,1),5124(a,1,1)),flip(a)]. 14926 K(x * y,x \ L(x,z,u)) != w | K(y,x \ L(x,z,u)) = w. [para(14925(a,2),5145(a,1))]. 14927 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(12113(a,1),14883(a,1,1))]. 14928 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(60(a,1),14927(a,1,1,2,1,2,1))]. 14929 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(11126(a,1),14928(a,1,1))]. 14930 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(198,a,10547,a(flip),b,14929,a(flip)),flip(a)]. 14932 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(60(a,1),14930(a,1,2,2,1)),flip(a)]. 14933 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(198,a,10595,a(flip),b,14932,a)]. 14935 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(198,a,14880,a(flip),b,14933,a)]. 14936 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),14935(a,2,2,1))]. 14937 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3331(a,1),14936(a,1,2,1))]. 14938 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(10963(a,1),14779(a,1,2,1))]. 14939 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13289(a,1),14849(a,1,1))]. 14940 (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(14848(a,1),14939(a,1,2,2))]. 14941 (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(8347(a,1),14940(a,1,2))]. 14942 (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(10551(a,1),14941(a,1,2))]. 14943 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14910(a,1),14942(a,1,2)),flip(a)]. 14944 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14848(a,1),14943(a,1,1,1,1))]. 14945 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13289(a,1),14944(a,1,1,1))]. 14946 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(14848(a,1),14945(a,1,1)),flip(a)]. 14947 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(14946(a,1),8764(a,1,1))]. 14948 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(8358(a,1),14947(a,1,2))]. 14949 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(198,a,10555,a(flip),b,14948,a(flip)),flip(a)]. 14950 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(4901(a,1),14949(a,1,2))]. 14951 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(198,a,12714,a(flip),b,14950,a(flip))]. 14953 (((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(14951(a,1),13884(a,1,1))]. 14954 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(5546(a,1),14953(a,1,1,1)),flip(a)]. 14955 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(5669(a,1),14954(a,2,2))]. 14956 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(6045(a,1),14955(a,2,2))]. 14957 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(9501(a,1),14956(a,2,2))]. 14958 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),14957(a,2,2,1))]. 14959 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(198,a,6257,a(flip),b,14958,a)]. 14961 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(198,a,8756,a(flip),b,14959,a)]. 14962 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5795(a,1),14961(a,1,1,1))]. 14963 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(14951(a,1),14962(a,1,1))]. 14964 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5546(a,1),14963(a,1,1,1))]. 14965 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(198,a,4559,a(flip),b,14964,a(flip)),flip(a)]. 14966 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4248(a,1),14965(a,2,1))]. 14967 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(13803(a,1),14966(a,2,2))]. 14968 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(13803(a,1),14967(a,1,1,1))]. 14969 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(198,a,14884,a(flip),b,14968,a)]. 14970 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(11182(a,1),14969(a,1,1))]. 14971 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(14577(a,2),14970(a,1,1))]. 14972 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(4273,a,14971,a)]. 14973 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(198,a,13895,a(flip),b,14972,a(flip))]. 14974 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(198,a,14937,a(flip),b,14973,a(flip))]. 14975 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(11842(a,1),14974(a,1,2,1))]. 14976 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(198,a,13897,a(flip),b,14975,a(flip)),flip(a)]. 14977 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4871(a,2),14976(a,1,2,1,2))]. 14978 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(119(a,1),14977(a,1,2,1)),flip(a)]. 14980 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(65,a,14978,a(flip),b,4924,a(flip))]. 14981 T(x,L(y / z,z,u)) = T(x,(y * u) / (z * u)). [para(103(a,1),14978(a,1,2)),flip(a)]. 14982 T(x,L((y / z) / u,u,z)) = T(x,y / (u * z)). [para(197(a,1),14978(a,1,2)),flip(a)]. 14983 T(x,L(y,z,u)) * R(T(y,x),z,u) = x * R(y,z,u). [para(14978(a,1),4111(a,1,1))]. 14984 K(L(x,y,z),T(u,w)) \ ((R(w,v5,v6) * T(u,w)) / T(u,w)) = (T(T(u,w),R(x,y,z)) * R(T(w,u),v5,v6)) / T(u,w). [para(14978(a,2),8144(a,2,1,1))]. 14985 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(5002,a,14980,a),flip(a)]. 14986 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(198,a,11690,a,b,14985,a),flip(a)]. 14987 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(198,a,13264,a,b,14985,a(flip)),flip(a)]. 14988 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(197(a,1),14985(a,1,2)),flip(a)]. 14989 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(577(a,1),14985(a,1,2)),flip(a)]. 14990 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(14985(a,1),432(a,1,2))]. 14991 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(14985(a,1),9965(a,1,2))]. 14992 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(198,a,13264,a,b,14986,a),flip(a)]. 14993 ((x * y) * z) \ ((y * z) * R(x,y,z)) = L(K(y * z,x),y,z). [hyper(198,a,425,a,b,14986,a),flip(a)]. 14994 L(K(x,(y / z) / u),u,z) = K(x,y / (u * z)). [para(197(a,1),14986(a,2,2))]. 14995 L(K(x,y / (z / u)),z / u,u) = K(x,(y * u) / z). [para(443(a,1),14986(a,2,2))]. 14996 L(K(x,y \ (z / u)),y,u) = K(x,T(z / (y * u),y)). [para(577(a,1),14986(a,2,2))]. 14998 K(x,L(y,x * z,u)) = K(R(x,z,u),y). [hyper(198,a,6755,a(flip),b,14987,a(flip))]. 14999 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(14987(a,1),102(a,1,1))]. 15001 K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). [para(14987(a,1),10901(a,1,1))]. 15002 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(6141,a,14992,a),flip(a)]. 15005 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(198,a,6771,a(flip),b,14992,a(flip))]. 15006 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(14992(a,1),102(a,1,1))]. 15009 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(14992(a,1),14811(a,1,1))]. 15013 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(11714,a,14998,a),flip(a)]. 15014 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(103(a,1),15013(a,1,1)),flip(a)]. 15015 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(197(a,1),15013(a,1,1)),flip(a)]. 15016 K(L(x / (y / z),y / z,z),u) = K((x * z) / y,u). [para(443(a,1),15013(a,1,1)),flip(a)]. 15017 K(L((x / y) \ z,x / y,y),u) = K(T((z * y) / x,x / y),u). [para(679(a,1),15013(a,1,1)),flip(a)]. 15018 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(15013(a,1),8626(a,1))]. 15019 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(6139,a,15002,a),flip(a)]. 15020 ((x \ 1) \ K(L(y,z,u) \ 1,x)) \ ((x \ 1) \ 1) = K(x,R(y,z,u) \ 1). [para(15019(a,1),7417(a,1,1,2))]. 15021 T(x,L(y / (z / ((u \ 1) \ 1)),z / ((u \ 1) \ 1),u)) = T(x,(y * u) / ((u * (1 / u)) \ z)). [para(6861(a,1),14981(a,2,2,2))]. 15022 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(14988(a,1),10951(a,2,2))]. 15023 K(x,L(y \ (z * u),y,K(w,L(v5,z,u))) \ 1) = K(x,((K(w,v5) * z) * u) \ (K(w,L(v5,z,u)) * y)). [para(14999(a,1),6465(a,2,2,1))]. 15025 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(198,a,7161,a(flip),b,15005,a(flip)),flip(a)]. 15026 L(K(x,y),z,u) * (z * u) = (K(y,x) \ z) * u. [para(5281(a,2),15006(a,2,1))]. 15027 K(L(x,y,z),u) * ((x * y) * z) = (K(x,u) * (x * y)) * z. [para(8585(a,1),15006(a,1,1))]. 15028 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(8620,a,15014,a)]. 15030 K(L((x / y) / K(z,u),K(z,u),y),w) = K(x / (K(u,z) \ y),w). [para(5281(a,2),15015(a,2,1,2))]. 15031 K(L(x,y,z),u) \ (y * z) = (K(x,u) \ y) * z. [hyper(11710,a,15026,a)]. 15032 L(K(x,y),z,z \ u) * u = (K(y,x) \ z) * (z \ u). [hyper(267,a,15026,a)]. 15033 L(K(x,y),z,u) \ ((K(y,x) \ z) * u) = z * u. [hyper(71,a,15026,a)]. 15034 L(K(x,y),z,(K(y,x) \ z) \ u) \ u = z * ((K(y,x) \ z) \ u). [hyper(65,a,14,a(flip),b,15026,a)]. 15035 L(K(x,y),z,u) \ (z * u) = (K(x,y) \ z) * u. [hyper(198,a,6102,a,b,15026,a(flip)),flip(a)]. 15036 L(K(x,y),y * x,z) \ ((x * y) * z) = (y * x) * z. [para(5054(a,1),15033(a,1,2,1))]. 15037 T(x,y) \ (x * (x * z)) = (K(x,y) \ x) * z. [hyper(198,a,6327,a(flip),b,15035,a(flip)),flip(a)]. 15038 (K(x,y) \ x) * T(z,T(x,y)) = ((z / T(x,y)) * x) * x. [hyper(198,a,9006,a(flip),b,15037,a(flip))]. 15039 T(T(x,y),L(y,z,u)) * R(T(y,x),z,u) = T(x,y) * R(y,z,u). [para(4076(a,1),14983(a,1,2,1))]. 15040 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(412(a,1),14989(a,1,2)),flip(a)]. 15041 L(K(x,y / (z / u)),u \ z,u) = K(x,(y * u) / z). [hyper(198,a,11371,a(flip),b,14995,a(flip)),flip(a)]. 15042 L(K(x / y,(x / y) \ z),x / y,y) = K(x / y,(z * y) / x). [para(5119(a,1),14995(a,1,1))]. 15043 L(K(x,y \ (z / L(x,u,w))),y,L(x,u,w)) = K(x,(y * L(x,u,w)) \ z). [hyper(198,a,9729,a(flip),b,14996,a)]. 15044 K(x,L(L(y,z,u),K(y,x),w)) * (w * K(y,x)) = a(x,z,K(u,y)) * T(w,K(y,x)). [para(14565(a,1),15001(a,2,1))]. 15045 (x * T(y / z,u / (y / z))) \ (x * (y / z)) = K((u * z) / y,y / z). [hyper(198,a,10920,a(flip),b,15016,a(flip)),flip(a)]. 15046 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(11776(a,2),15016(a,2,1,1))]. 15047 x * L(K(y,T(z,x)),u,u \ x) = (K(z,y) \ u) * (u \ x). [hyper(198,a,7115,a,b,15032,a(flip)),flip(a)]. 15048 L(K(x,y),y * x,L(z,y,x)) \ (x * (y * z)) = (y * x) * L(z,y,x). [para(92(a,1),15036(a,1,2))]. 15049 L(K(x,((y / z) / u) \ x),z \ y,z) = K(x,((x * u) * z) / y). [para(6953(a,1),15041(a,1,1))]. 15050 K((x * y) \ z,T(u,y)) = (((w \ v5) \ v5) * K(u,((x \ z) * x) / (y * x))) \ T(w,w \ v5). [hyper(198,a,7386,a,b,15028,a)]. 15051 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(6072(a,1),15028(a,2,1,2))]. 15052 ((x / T(y,z)) * y) * y = x * (K(y,z) \ y). [hyper(8035,a,15038,a),flip(a)]. 15053 T(x / T(y,z),y) * y = (y \ x) * (K(y,z) \ y). [para(8816(a,1),15052(a,1,1))]. 15054 (K(x,y) * (x * z)) * u != w * ((x * z) * u) | K(L(x,z,u),y) = w. [para(15027(a,1),20(a,1))]. 15055 K(x,L(K(y,T(z,x)),u,u \ x)) \ ((K(z,y) \ u) * (u \ x)) = L(K(y,T(z,x)),u,u \ x) * x. [hyper(65,a,15047,a(flip),b,4891,a)]. 15057 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(14699(a,1),14990(a,1,2))]. 15058 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6517,a,15057,a)]. 15059 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(15058(a,1),11588(a,1,2))]. 15060 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6107,a,15009,a)]. 15061 K(L((x / y) \ z,x / y,y),u) = K((z * y) / x,T(u,x / y)). [hyper(198,a,7172,a(flip),b,15017,a)]. 15062 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(14718(a,1),15022(a,1,2))]. 15063 K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(z,u) \ y),w). [para(7384(a,1),15030(a,1,1,1))]. 15065 K((x / y) \ 1,(y / x) \ z) = K(y / x,(z * x) / y). [hyper(6328,a,15042,a)]. 15066 K((x / y) \ 1,(y / x) \ z) = K(x \ y,y \ (z * x)). [hyper(198,a,7881,a(flip),b,15065,a)]. 15067 K(x / y,(z * (x / y)) \ (z * u)) = K(y \ x,x \ (u * y)). [hyper(198,a,11770,a,b,15066,a(flip)),flip(a)]. 15068 K((x / y) \ 1,(x \ y) \ z) = K(x \ y,y \ (z * x)). [hyper(11854,a,15067,a)]. 15069 K(x \ y,(x * z) / y) = K(x \ y,y \ (z * x)). [hyper(198,a,11925,a(flip),b,15068,a(flip)),flip(a)]. 15070 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(198,a,11834,a,b,15060,a(flip)),flip(a)]. 15071 L(K(x,K(y,z)),z * K(x,y),L(u,z,K(x,y))) \ (K(x,y) * (z * u)) = (z * K(x,y)) * L(u,z,K(x,y)). [para(7679(a,1),15048(a,1,1,1))]. 15072 (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). [hyper(6910,a,15059,a),flip(a)]. 15073 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(620,a,15072,a),flip(a)]. 15074 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(15073(a,1),6909(a,1,2))]. 15075 ((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(7113(a,1),15074(a,1,1,1))]. 15076 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(14652,a,15020,a),flip(a)]. 15077 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(679(a,1),15076(a,1,2,1)),flip(a)]. 15078 K(x,(y * L(x,z,u)) \ w) = K(x,y \ (w / L(x,z,u))). [hyper(13206,a,15043,a),flip(a)]. 15080 K(T(x / (y * L(z,u,w)),y),z) = (K(z,y \ (x / L(z,u,w))) \ v5) / v5. [para(15078(a,1),9738(a,2,1,1))]. 15081 (x * T(y / z,(y / z) \ u)) \ (x * (y / z)) = K((u * z) / y,y / z). [para(4093(a,1),15045(a,1,1,2))]. 15082 K(T(x / (y * L(z,u,w)),y),z) = K(y \ (x / L(z,u,w)),z). [hyper(198,a,5282,a(flip),b,15080,a)]. 15083 K(x / (y * L(z,u,w)),T(z,y)) = K(y \ (x / L(z,u,w)),z). [hyper(7577,a,15082,a)]. 15084 K(x \ (y / L(z,u,w)),z) != v5 | K((x * L(z,u,w)) \ y,z) = v5. [para(15083(a,1),9894(a,1))]. 15085 (x * T(y / z,(z \ y) \ u)) \ (x * (y / z)) = K((u * z) / y,y / z). [para(9106(a,1),15081(a,1,1,2))]. 15086 K(L((x \ y) \ z,y / x,u),y / x) = K((z * x) / y,y / x). [hyper(198,a,10920,a,b,15085,a(flip)),flip(a)]. 15087 K((x \ y) \ z,(x / y) \ 1) = K((z * x) / y,y / x). [hyper(10923,a,15086,a)]. 15088 K((x \ y) \ z,(x / y) \ 1) = K(y \ (z * x),x \ y). [hyper(198,a,7860,a(flip),b,15087,a)]. 15089 K((x \ y) \ z,y / x) = K(y \ (z * x),x \ y). [hyper(5561,a,15088,a)]. 15090 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(198,a,7103,a(flip),b,15077,a)]. 15091 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(198,a,10009,a(flip),b,15090,a)]. 15092 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6526,a,15091,a),flip(a)]. 15093 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(198,a,13642,a(flip),b,15092,a)]. 15094 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(6038(a,1),15092(a,2,2,1))]. 15095 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(12204(a,1),15070(a,1,1))]. 15096 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7773(a,1),15095(a,1,1,2))]. 15097 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(13139,a,15096,a)]. 15098 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(7944(a,2),15097(a,1,2,2))]. 15099 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(8646(a,2),15098(a,1,2))]. 15100 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(9142(a,2),15099(a,1,2,2,2))]. 15101 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),15093(a,1,2,1,2))]. 15102 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(7426(a,2),15100(a,1,2,2))]. 15103 T(x,L(y / (z / ((u \ 1) \ 1)),z / u,u)) = T(x,(y * u) / ((u * (1 / u)) \ z)). [para(10544(a,1),15021(a,1,2))]. 15104 T(x,L(y / (z / ((u \ 1) \ 1)),u \ z,u)) = T(x,(y * u) / ((u * (1 / u)) \ z)). [para(11371(a,1),15103(a,1,2))]. 15105 T(x,L(y / (z / ((u \ 1) \ 1)),u \ z,u)) = T(x,(y * T(u,u \ 1)) / z). [para(6859(a,1),15104(a,2,2))]. 15106 T(x,L(y / (z / ((u \ 1) \ 1)),u \ z,u)) = T(x,(y * u) / z). [hyper(198,a,6864,a(flip),b,15105,a)]. 15107 L(K(x,K(y,T(z,x))),u,u \ x) \ ((K(z,y) \ u) * (u \ x)) = L(K(y,T(z,x)),u,u \ x) * x. [para(11690(a,2),15055(a,1,1))]. 15108 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(7785(a,1),15051(a,1,1,1))]. 15109 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(7384(a,1),15046(a,1,1,1,2))]. 15110 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(11690(a,2),15109(a,1,1,1,2,2))]. 15111 K(L(x,y,z),T(T(u,w),v5)) \ ((R(w,v6,v7) * T(u,w)) / T(u,w)) = (T(T(u,w),R(T(x,v5),y,z)) * R(T(w,u),v6,v7)) / T(u,w). [para(7187(a,1),14984(a,1,1))]. 15112 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),15094(a,1,2,1,2))]. 15113 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(5944(a,2),15102(a,1,2))]. 15114 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(u,z) * y). [para(15113(a,1),14(a,1,2)),flip(a)]. 15115 T(x / T(y,K(z,u)),K(u,z) * y) = y \ T(x,K(z,u)). [para(16(a,1),15113(a,1,2,1)),flip(a)]. 15116 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7773(a,1),15113(a,1,2,1,2))]. 15117 x \ T(y * T(x,K(z,u)),K(u,z * u)) = T(y,K(z * u,u) * x). [para(7935(a,1),15113(a,1,2,1,2))]. 15118 x \ T(y * T(x,K(z,u)),K(z,1 / u)) = T(y,K(1 / u,z) * x). [para(8056(a,1),15113(a,1,2,1,2))]. 15120 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(15114(a,2),191(a,1,2)),flip(b)]. 15121 T(x * T(y,K(z,u)),K(u,z)) = y * T(x,K(z,u) * y). [para(7773(a,1),15114(a,1,1,2))]. 15122 T(x / T(y,K(z,u)),K(z,u) \ y) = y \ T(x,K(z,u)). [para(5281(a,2),15115(a,1,2))]. 15123 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(7773(a,1),15116(a,1,2))]. 15124 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [hyper(7794,a,15121,a)]. 15125 T(R(x * K(K(y,z),u),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7456(a,2),15122(a,1,1))]. 15126 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(198,a,15113,a(flip),b,15123,a(flip))]. 15127 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(65,a,15126,a,b,4924,a(flip))]. 15128 T(x,K(y,z) * T(u,K(z,y))) = T(x,u * K(z,y)). [para(106(a,1),15126(a,1,2)),flip(a)]. 15129 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4944(a,1),15126(a,1,2)),flip(a)]. 15130 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(5002,a,15127,a)]. 15131 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(15127(a,1),5002(a,1))]. 15132 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y)). [para(106(a,1),15130(a,1,2)),flip(a)]. 15133 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5281(a,2),15130(a,1,2))]. 15134 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5245(a,1),15130(a,1,2)),flip(a)]. 15135 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7232(a,1),15130(a,1,2)),flip(a)]. 15136 K(x,K(y,z) \ (y * u)) = K(x,T(y,z) * u). [para(4944(a,1),15133(a,2,2))]. 15137 K(x,K(y,z) \ u) = K(x,K(z,y) \ u). [para(5281(a,2),15133(a,2,2))]. 15138 K(x,K(y,z) \ (z \ u)) = K(x,T(z,y) \ u). [para(5245(a,1),15133(a,2,2))]. 15139 K(x,K(y,z) \ ((y \ 1) \ u)) = K(x,u * T(u \ ((y \ 1) \ u),z)). [para(4933(a,1),15133(a,2,2))]. 15140 K(x,K(y,z) \ (y / u)) = K(x,T(y,z) / u). [para(14685(a,1),15133(a,2,2))]. 15141 K(x,K(y,y \ z) \ u) = K(x,K(z,y) \ u). [hyper(198,a,13643,a(flip),b,15137,a)]. 15143 T(x,T(y,z) * z) = T(x,z * y). [para(4891(a,1),15129(a,1,2)),flip(a)]. 15144 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5518(a,1),15129(a,1,2))]. 15145 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5218(a,2),15134(a,1,2))]. 15146 K(x,T(y,z) * z) = K(x,z * y). [para(5054(a,1),15136(a,1,2)),flip(a)]. 15147 K(x,y * (z * K(y,z))) = K(x,z * y). [para(4893(a,1),15146(a,1,2,1)),flip(a)]. 15148 K(x,T(y,T(z,u)) * (z * K(u,z))) = K(x,(z * K(u,z)) * y). [para(8028(a,1),15146(a,1,2,1))]. 15149 K(x,K(y,z \ y) \ u) = K(x,K(y,z) \ u). [hyper(198,a,13644,a,b,15141,a(flip)),flip(a)]. 15150 K(x,K(y \ z,z) \ u) = K(x,K(z,y \ 1) \ u). [para(5155(a,1),15141(a,1,2,1)),flip(a)]. 15151 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(145(a,1),15144(a,1,2,1)),flip(a)]. 15152 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(13074,a,15151,a),flip(a)]. 15153 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(13649,a,15145,a),flip(a)]. 15154 K(x,T(T(y \ z,u),y) \ w) = K(x,T(z / y,u) \ w). [para(365(a,1),15145(a,1,2,1)),flip(a)]. 15155 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4241(a,1),15145(a,1,2,1))]. 15156 K(x,T(y,z) \ (T(z,y) * u)) = K(x,y \ (z * u)). [para(4424(a,1),15145(a,1,2)),flip(a)]. 15157 K(x,K(y \ z,z) \ u) = K(x,K(z,y) \ u). [hyper(198,a,15137,a,b,15149,a(flip)),flip(a)]. 15158 T(x,y * K(z,u)) = T(x,y * K(u,z)). [para(7785(a,1),15128(a,1,2))]. 15159 x / T(x,y * K(z,u)) = K(y * K(u,z),x). [para(15158(a,1),4869(a,2,2)),flip(a)]. 15160 K(x,y * K(z,u)) = K(x,y * K(u,z)). [para(7785(a,1),15132(a,1,2))]. 15162 K(x,(y * z) * K(u,z)) = K(x,y * T(z,u)). [para(6257(a,1),15160(a,1,2)),flip(a)]. 15163 K(x,y * (z * K(u,z))) = K(x,y * T(z,u)). [para(7483(a,1),15162(a,1,2))]. 15164 K(x,K(y,z \ 1) \ u) = K(x,K(y,z) \ u). [hyper(198,a,15157,a(flip),b,15150,a(flip))]. 15165 K(x,K(y \ 1,z) \ u) = K(x,K(z,y) \ u). [hyper(198,a,15137,a,b,15164,a(flip)),flip(a)]. 15166 K(x,T(y,z \ 1) \ u) = K(x,K(y,z) \ (y \ u)). [para(5213(a,1),15164(a,1,2))]. 15167 K(x,K(y,z \ (u \ 1)) \ w) = K(x,K(y,u * z) \ w). [para(14595(a,1),15164(a,1,2,1))]. 15168 K(x,K(y \ 1,z * y) \ u) = K(x,K(z,y) \ u). [hyper(198,a,13638,a(flip),b,15165,a)]. 15169 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(13050,a,15152,a),flip(a)]. 15170 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(144(a,1),15169(a,1,2,2,1)),flip(a)]. 15171 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(15170(a,1),4869(a,2,2))]. 15172 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [para(5213(a,1),15166(a,2,2))]. 15173 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(198,a,4869,a,b,15171,a)]. 15174 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1264(a,1),15173(a,2,1))]. 15175 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(198,a,13847,a(flip),b,15155,a(flip))]. 15177 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(16(a,1),15175(a,1,2,1,1)),flip(a)]. 15179 K(x,((y \ z) * y) \ u) = K(x,(y * (z / y)) \ u). [hyper(198,a,13642,a,b,15177,a),flip(a)]. 15180 K(x,(y * ((y * z) / y)) \ u) = K(x,(z * y) \ u). [hyper(198,a,13636,a(flip),b,15177,a)]. 15181 K(x,T(y,z) \ (z * x)) = K(x,z / (x \ y)). [hyper(198,a,8729,a(flip),b,15177,a(flip))]. 15183 K(x,T(y,z) \ (T(z,y) * x)) = K(x,T(z,y) / (x \ y)). [para(4076(a,1),15181(a,1,2,1))]. 15184 K(x,(y * (z / y)) \ u) \ 1 = K(((y \ z) * y) \ u,x). [para(15179(a,1),5124(a,1,1))]. 15185 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [para(145(a,1),15180(a,1,2,1,2)),flip(a)]. 15186 K(x,((y \ z) * (K(y,u) \ y)) \ w) = K(x,(y * (z / T(y,u))) \ w). [para(15053(a,1),15185(a,1,2,1))]. 15187 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(z,u) * x) = w. [para(15124(a,2),191(a,1,2)),flip(b)]. 15188 K(x,T(T((y \ 1) \ z,u),y) \ w) = K(x,T(z / (y \ 1),u) \ w). [hyper(198,a,15172,a(flip),b,15154,a(flip)),flip(a)]. 15189 K(x,T(y,z) / (x \ z)) = K(x,z \ (y * x)). [hyper(198,a,15156,a(flip),b,15183,a(flip))]. 15190 K(((x \ y) * x) \ z,u) = K((x * (y / x)) \ z,u). [hyper(5145,a,15184,a),flip(a)]. 15191 K(x,T(y,T(z,u)) * (z * K(u,z))) = K(x,z * (K(u,z) * y)). [para(5570(a,1),15148(a,2,2))]. 15192 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(8026(a,1),15153(a,1,2,2))]. 15193 K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). [hyper(13649,a,15192,a),flip(a)]. 15194 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(15192(a,1),13649(a,1))]. 15195 K(x,y / T(z \ u,z)) = K(x,y / (u / z)). [para(14(a,1),15193(a,1,2,2,1)),flip(a)]. 15198 K(x,T(y,T(z,u)) * T(z,u)) = K(x,z * (K(u,z) * y)). [hyper(198,a,15163,a(flip),b,15191,a(flip)),flip(a)]. 15199 K(x,y * (K(z,y) * u)) = K(x,T(y,z) * u). [hyper(198,a,15146,a(flip),b,15198,a(flip))]. 15200 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(15123(a,1),15120(a,1))]. 15201 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,u) * x). [para(7935(a,1),15117(a,1,2))]. 15202 T(x,K(y * z,z) * u) = T(x,K(y,z) * u). [hyper(15187,a,15201,a),flip(a)]. 15203 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(5818(a,1),15202(a,1,2,1))]. 15204 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(15200,a,15203,a)]. 15205 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [para(14(a,1),15203(a,1,2,1,1)),flip(a)]. 15206 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(13073,a,15204,a),flip(a)]. 15207 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(65,a,15205,a(flip),b,4924,a(flip)),flip(a)]. 15209 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(15207(a,2),5002(a,1))]. 15210 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(13072,a,15206,a),flip(a)]. 15211 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(1 / u,z) * x). [para(8056(a,1),15118(a,1,2))]. 15212 T(x,K(1 / y,z) * u) = T(x,K(y,z) * u). [hyper(15120,a,15211,a),flip(a)]. 15213 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(57(a,1),15212(a,1,2,1,1)),flip(a)]. 15214 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(65,a,15213,a(flip),b,4924,a(flip)),flip(a)]. 15215 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(7785(a,1),15213(a,1,2)),flip(a)]. 15216 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(198,a,4872,a,b,15214,a)]. 15217 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(15131,a,15216,a)]. 15218 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5205(a,1),15216(a,1,2)),flip(a)]. 15219 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(15216(a,1),6713(a,1,1))]. 15220 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6455(a,1),15217(a,1,2,1)),flip(a)]. 15221 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(15217(a,1),6714(a,1,1))]. 15222 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(15209,a,15220,a),flip(a)]. 15223 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(198,a,15134,a(flip),b,15222,a(flip)),flip(a)]. 15224 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7232(a,1),15222(a,1,2))]. 15225 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5245(a,1),15223(a,2,2))]. 15226 K(x,y * T(y \ (z \ y),u)) = K(x,T(z,u) \ y). [hyper(198,a,15134,a(flip),b,15218,a(flip))]. 15227 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(4971(a,1),15218(a,1,2,2)),flip(a)]. 15228 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(8055(a,1),15215(a,1,2,2))]. 15229 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(106(a,1),15228(a,1,2)),flip(a)]. 15230 K(x,K(y,z) \ ((y \ 1) \ u)) = K(x,T(y \ 1,z) \ u). [hyper(198,a,15226,a(flip),b,15139,a)]. 15231 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(198,a,15135,a(flip),b,15224,a)]. 15232 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10186(a,1),15231(a,1,2))]. 15233 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(198,a,15112,a(flip),b,15232,a(flip)),flip(a)]. 15234 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(6116(a,1),15232(a,1,2,2,2)),flip(a)]. 15235 T(R(x * K(y,K(z,u)),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7679(a,1),15125(a,1,1,1,2))]. 15236 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9887,a,15219,a),flip(a)]. 15237 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(6119(a,1),15236(a,1,2,1))]. 15238 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9887,a,15221,a),flip(a)]. 15239 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6663(a,1),15238(a,1,2,1))]. 15240 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7723(a,1),15239(a,2,2))]. 15241 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1859(a,1),15174(a,1,1))]. 15242 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4914(a,1),15241(a,1,1,2)),flip(a)]. 15243 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4873(a,1),15242(a,1,1,2))]. 15244 ((x \ 1) \ K(y \ K(z,u \ 1),x)) \ ((x \ 1) \ 1) = K(x,y \ K(u \ 1,z)). [para(15243(a,1),7417(a,1,1,2))]. 15245 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(14652,a,15244,a),flip(a)]. 15246 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(198,a,15237,a(flip),b,15233,a(flip)),flip(a)]. 15247 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(198,a,13848,a(flip),b,15246,a(flip)),flip(a)]. 15248 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4924(a,2),15247(a,1,2,1))]. 15249 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(4076(a,1),15248(a,1,2,1))]. 15250 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(106(a,1),15249(a,1,2,2,1))]. 15251 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(106(a,1),15250(a,1,2,2,2,2))]. 15252 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(8022(a,1),15251(a,2,2))]. 15254 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(7847(a,1),15227(a,2,2,1))]. 15255 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(7813(a,1),15254(a,2,2))]. 15256 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(4971(a,1),15255(a,1,2,2,1,2))]. 15257 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5202(a,1),15256(a,1,2))]. 15259 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [hyper(198,a,15160,a,b,15257,a(flip)),flip(a)]. 15260 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(15257(a,1),5129(a,1,2)),flip(a)]. 15261 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(15259(a,1),5129(a,1,2)),flip(a)]. 15262 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(198,a,5129,a(flip),b,15260,a)]. 15263 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(198,a,13025,a(flip),b,15262,a(flip))]. 15264 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(198,a,5129,a(flip),b,15261,a)]. 15265 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(198,a,13022,a,b,15264,a(flip)),flip(a)]. 15266 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(198,a,15263,a(flip),b,15265,a)]. 15267 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(13097,a,15266,a)]. 15268 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(198,a,13091,a(flip),b,15267,a),flip(a)]. 15269 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4682(a,1),15268(a,1,1))]. 15270 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(8248,a,15269,a),flip(a)]. 15271 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(198,a,10033,a,b,15270,a(flip)),flip(a)]. 15272 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(198,a,13712,a(flip),b,15271,a(flip))]. 15273 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(198,a,13714,a(flip),b,15272,a(flip))]. 15274 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(5064(a,1),15273(a,1,1,2)),flip(a)]. 15275 K(x \ T(y \ z,y),u) = K(x \ (z / y),u). [para(4941(a,1),15273(a,1,1,2)),flip(a)]. 15276 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(15274(a,1),5129(a,1,2)),flip(a)]. 15277 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(198,a,5129,a(flip),b,15276,a)]. 15278 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(4121(a,1),15277(a,1,2,2,1))]. 15279 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4893(a,1),15277(a,1,2,2,1)),flip(a)]. 15280 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(198,a,6638,a,b,15279,a(flip)),flip(a)]. 15281 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(3093(a,1),15280(a,1,2,2))]. 15282 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(198,a,13664,a(flip),b,15278,a(flip)),flip(a)]. 15283 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(4084(a,1),15282(a,1,2,2)),flip(a)]. 15284 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(198,a,15252,a(flip),b,15283,a(flip))]. 15285 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(6005(a,1),15284(a,1,2,2,2))]. 15286 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(10203(a,1),15234(a,2,2))]. 15287 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(8027(a,1),15286(a,1,2))]. 15288 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9708(a,1),15287(a,1,2)),flip(a)]. 15289 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(198,a,8089,a(flip),b,15288,a)]. 15291 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(198,a,15101,a(flip),b,15289,a(flip)),flip(a)]. 15292 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(4120(a,1),15291(a,1,2,2,1))]. 15293 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(9187(a,1),15240(a,1,2,2,2))]. 15294 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7715(a,2),15293(a,1,2,2))]. 15296 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(8008(a,1),15294(a,1,2)),flip(a)]. 15297 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(198,a,6470,a(flip),b,15296,a)]. 15298 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(198,a,13847,a(flip),b,15297,a(flip)),flip(a)]. 15299 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6528,a,15298,a),flip(a)]. 15304 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(198,a,15245,a,b,15299,a(flip)),flip(a)]. 15305 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(198,a,15281,a(flip),b,15304,a(flip))]. 15306 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(198,a,15280,a(flip),b,15305,a(flip))]. 15307 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(57(a,1),15306(a,1,2,2,2)),flip(a)]. 15308 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8293(a,1),15307(a,1,2,2))]. 15310 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(9455(a,1),15292(a,1,2,1))]. 15311 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(4120(a,1),15310(a,1,2,2,2,2))]. 15313 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(198,a,15225,a(flip),b,15311,a(flip)),flip(a)]. 15314 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(13511(a,1),15313(a,2,2))]. 15315 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(198,a,15283,a(flip),b,15314,a(flip)),flip(a)]. 15316 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(198,a,13645,a(flip),b,15285,a(flip)),flip(a)]. 15317 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(15229(a,1),15316(a,1,2,2))]. 15318 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5504(a,1),15317(a,1,2,2,2,2))]. 15319 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(15210(a,1),15318(a,1,2,2))]. 15320 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4924(a,2),15319(a,1,2,2,2))]. 15321 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(13654,a,15320,a)]. 15322 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(198,a,15175,a(flip),b,15321,a(flip))]. 15323 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8290(a,1),15322(a,1,2))]. 15324 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(8296,a,15323,a),flip(a)]. 15325 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(5204(a,1),15324(a,1,2,1)),flip(a)]. 15326 K(L(x,y,z),T(u,w)) \ ((R(w,v5,v6) * T(u,w)) / T(u,w)) = (T(T(u,w),R(T(x,u),y,z)) * R(T(w,u),v5,v6)) / T(u,w). [para(117(a,1),15111(a,1,1,2))]. 15327 (T(T(x,y),R(T(y,x),z,u)) * R(T(y,x),w,v5)) / T(x,y) = K(L(y,z,u),x) \ ((R(y,w,v5) * T(x,y)) / T(x,y)). [para(7140(a,1),15326(a,1,1)),flip(a)]. 15328 (T(T(x,y),R(T(y,x),z,u)) * R(T(y,x),w,v5)) / T(x,y) = K(L(y,z,u),x) \ R(y,w,v5). [para(15(a,1),15327(a,2,2))]. 15330 (T(T(x,y),L(T(y,x),z,u)) * R(T(y,x),w,v5)) / T(x,y) = K(L(y,z,u),x) \ R(y,w,v5). [para(14978(a,1),15328(a,1,1,1))]. 15331 (T(T(x,L(y,z,u)),y) * R(T(y,x),w,v5)) / T(x,y) = K(L(y,z,u),x) \ R(y,w,v5). [para(4161(a,1),15330(a,1,1,1))]. 15332 (T(T(x,y),L(y,z,u)) * R(T(y,x),w,v5)) / T(x,y) = K(L(y,z,u),x) \ R(y,w,v5). [para(38(a,1),15331(a,1,1,1))]. 15333 K(L(x,y,z),u) \ R(x,y,z) = (T(u,x) * R(x,y,z)) / T(u,x). [para(15039(a,1),15332(a,1,1)),flip(a)]. 15334 K(L(x,y,z),u) \ R(x,y,z) = R(K(x,u) \ x,y,z). [hyper(198,a,5701,a(flip),b,15333,a)]. 15335 R(K(x,y) \ x,y,z) = K(x,y) \ R(x,y,z). [para(10911(a,1),15334(a,1,1)),flip(a)]. 15336 K(x,y) \ R(x,y,z) = ((y * x) * z) / (y * z). [hyper(198,a,5113,a(flip),b,15335,a(flip))]. 15337 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(8025(a,1),15325(a,2,2,2))]. 15338 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(8352(a,1),15337(a,2,2,2))]. 15339 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(198,a,15308,a(flip),b,15338,a)]. 15340 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [hyper(198,a,15239,a(flip),b,15339,a)]. 15341 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [hyper(198,a,13848,a(flip),b,15340,a)]. 15342 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(4924(a,2),15341(a,2,2,1))]. 15343 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(198,a,15315,a(flip),b,15342,a)]. 15344 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),15343(a,1,2,1,2))]. 15345 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(8455(a,1),15344(a,1,2))]. 15346 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(13028(a,1),15345(a,1,2)),flip(a)]. 15347 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),15346(a,1,2,1)),flip(a)]. 15348 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(60(a,1),15346(a,1,2,2)),flip(a)]. 15349 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),15347(a,1,2,1)),flip(a)]. 15350 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(8114,a,15349,a)]. 15353 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(15349(a,1),8296(a,1))]. 15356 K(x,T(y,z * u)) != w | K(x,T(y,z \ u)) = w. [para(15350(a,1),8114(a,1))]. 15363 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(13609(a,1),15348(a,1,2))]. 15364 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(15353,a,15363,a)]. 15366 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(15364(a,1),12195(a,1,1))]. 15367 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(11279,a,15366,a)]. 15368 K(T(x,y),K(z,u)) = K(x,K(z,u)). [hyper(7737,a,15367,a)]. 15369 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(198,a,7715,a,b,15367,a)]. 15370 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(198,a,7711,a,b,15367,a)]. 15372 K(x,K(y,z)) \ T(x,u) = T(T(x,u),K(y,z)). [para(15367(a,1),7699(a,1,1))]. 15373 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(15367(a,2),7752(a,1))]. 15376 T(K(x,K(y,z)),u) = K(x,K(y,z)). [hyper(198,a,8187,a(flip),b,15368,a(flip)),flip(a)]. 15377 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(15368(a,1),7177(a,1,2)),flip(a)]. 15378 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(15368(a,1),7525(a,1,1,1))]. 15379 K(K(x,y),T(z,u)) = K(x,K(y,z)). [hyper(7689,a,15369,a)]. 15382 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(198,a,7949,a(flip),b,15369,a(flip)),flip(a)]. 15383 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(108(a,1),15369(a,1,2,2)),flip(a)]. 15386 K(x,y / T(z,u)) \ K(x,K(y,z)) = K(T(z,u) \ y,x). [para(15369(a,1),8380(a,1,2))]. 15387 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(7897(a,1),15369(a,1,2))]. 15390 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7105(a,1),15370(a,1,2))]. 15391 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(13039(a,2),15370(a,1,2))]. 15392 L(K(x,K(y,z)),u,u \ x) \ ((K(y,z) \ u) * (u \ x)) = L(K(z,T(y,x)),u,u \ x) * x. [para(15370(a,1),15107(a,1,1,1))]. 15394 T(x,K(y,K(z,u))) = x. [hyper(35,a,15376,a)]. 15396 K(x,T(y,K(z,u))) = K(x,y). [hyper(10775,a,15394,a)]. 15397 K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). [hyper(8407,a,15394,a)]. 15398 T(x,T(y,K(z,u))) = T(x,y). [hyper(7584,a,15394,a)]. 15399 K(x,K(y,K(z,u))) = 1. [hyper(36,a,15394,a)]. 15402 T(x,T(K(y,z),u)) = T(x,K(y,z)). [hyper(198,a,7774,a(flip),b,15394,a(flip)),flip(a)]. 15404 T(x,y / K(z,u)) = T(x,K(z,u) \ y). [para(15394(a,1),8750(a,1,1)),flip(a)]. 15405 T(x,K(y,z) * u) = T(x,u * K(y,z)). [para(15394(a,1),13031(a,1,1))]. 15406 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(15394(a,1),13050(a,1,1))]. 15407 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(15394(a,1),15113(a,1,2,1,2))]. 15411 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(13065,a,15396,a),flip(a)]. 15412 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(8613,a,15396,a)]. 15413 K(T(x,K(y,z)),u) = K(x,u). [hyper(8606,a,15396,a),flip(a)]. 15416 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(198,a,15028,a(flip),b,15396,a(flip)),flip(a)]. 15419 K(x,y) \ K(z,u) = K(z,u) * K(y,x). [para(15396(a,1),7152(a,1,2)),flip(a)]. 15422 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(7516(a,1),15396(a,1,2))]. 15424 K(x,K(y,z) \ u) = K(x,u * K(z,y)). [para(7950(a,1),15396(a,1,2)),flip(a)]. 15429 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(15396(a,1),8552(a,1,1))]. 15430 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(15396(a,1),8604(a,1))]. 15431 K(T(x,K(y,z)),u) != w | K(x,u) = w. [para(15396(a,1),8606(a,1))]. 15432 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(8754(a,1),15396(a,1,2)),flip(a)]. 15435 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(15396(a,1),13062(a,1))]. 15437 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(15396(a,1),13099(a,1,1))]. 15440 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(7516(a,1),15398(a,1,2))]. 15443 T(x,K(y,z) \ u) = T(x,u * K(z,y)). [para(7950(a,1),15398(a,1,2)),flip(a)]. 15444 T(x,T(y,z / u)) = T(x,T(y,u \ z)). [para(8754(a,1),15398(a,1,2)),flip(a)]. 15446 K((x * K(y,z)) \ u,T(w,x)) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). [para(15398(a,1),15108(a,1,2))]. 15457 K(K(x,y) \ z,u) = K(z * K(y,x),u). [para(7950(a,1),15413(a,1,1)),flip(a)]. 15459 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [para(15379(a,1),8552(a,1,1))]. 15460 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(15379(a,1),14938(a,1,2))]. 15462 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(6489(a,1),15402(a,1,2))]. 15463 T(x,K(y,z)) * (u / T(x,K(y,z))) = x * (u / x). [para(15402(a,1),7978(a,1,1))]. 15464 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(8236,a,15422,a)]. 15465 K(T(x,y) / z,T(u,x)) = K(z \ T(x,y),u). [hyper(7130,a,15422,a),flip(a)]. 15468 K(x \ y,T(z,T(y,u))) = K(y / x,z). [hyper(198,a,7820,a(flip),b,15422,a)]. 15470 K(x,T(y,z \ (u \ z))) = K(x,T(y,u)). [hyper(198,a,8295,a,b,15422,a(flip)),flip(a)]. 15471 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). [hyper(198,a,13011,a(flip),b,15422,a(flip))]. 15473 T(x,T(y,T(z,u))) = x * K(x,T(y,z)). [para(15422(a,1),4924(a,2,2))]. 15474 K(x,T(y,z)) \ (x * T(y,T(z,u))) = T(y,T(z,u)) * x. [para(15422(a,1),5054(a,1,1))]. 15475 T(x,y) * K(z,T(u,x)) = K(z,u) * T(x,y). [para(15422(a,1),7113(a,1,2))]. 15476 T(x,y) * K(z,T(u,x)) = K(u,z) \ T(x,y). [para(15422(a,1),7152(a,1,2))]. 15478 K(x * y,T(x,z)) * K(x,T(y,T(z,u))) = a(x,y,x). [para(15422(a,1),10610(a,1,1))]. 15480 T(x,T(T(y,z) * u,y)) = T(x,u * T(y,z)). [hyper(13035,a,15440,a),flip(a)]. 15482 T(x / T(y,T(z,u)),T(y,z)) = T(y,T(z,u)) \ x. [hyper(327,a,15440,a),flip(a)]. 15483 T(x,T(y * T(z,u),z)) = T(x,T(z,u) * y). [hyper(198,a,13055,a(flip),b,15440,a(flip))]. 15484 T(T(x,T(T(y,z),u)),T(z,y)) = T(x,T(T(y,z),u)) * K(x,z). [hyper(198,a,7967,a(flip),b,15440,a(flip))]. 15486 K(T(x,y),z) \ T(z,T(u,x)) = T(T(z,u),T(x,y)). [para(15440(a,1),7368(a,1,2))]. 15487 K(x,T(y,z)) \ T(x,T(u,y)) = T(K(x,T(y,z)) \ x,u). [para(15440(a,1),8319(a,1,2))]. 15490 T(T(x,y) * y,K(y,z)) = ((x * y) / x) * T(x,T((x * y) / x,z)). [hyper(198,a,10136,a(flip),b,15462,a(flip))]. 15495 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(15464(a,1),12130(a,1,2))]. 15496 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(5856(a,1),15430(a,1,2,2))]. 15497 K(x,y / K(z,u)) != w | K(x,K(z,u) \ y) = w. [para(6071(a,1),15430(a,1,2))]. 15499 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(7516(a,1),15430(a,1,2))]. 15500 K(x,y * K(z,u)) != w | K(x,K(u,z) \ y) = w. [para(7950(a,1),15430(a,1,2))]. 15502 K((T(x,y) \ z) * K(x,y),u) != w | K(x \ z,u) = w. [para(7362(a,2),15431(a,1,1))]. 15503 K(x * K(y,z),u) != w | K(K(z,y) \ x,u) = w. [para(7950(a,1),15431(a,1,1))]. 15504 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(8912,a,15377,a),flip(a)]. 15505 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7757,a,15377,a)]. 15506 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(198,a,8332,a(flip),b,15377,a)]. 15507 K(x,K(y,z)) \ (u / x) = u / T(x,K(y,z)). [hyper(65,a,6253,a(flip),b,15377,a)]. 15509 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(8115,a,15383,a)]. 15510 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(198,a,10962,a,b,15383,a),flip(a)]. 15511 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(198,a,8374,a,b,15383,a),flip(a)]. 15512 K(x,K(y,z \ u)) \ (u / z) = T(u / z,K(x,y)). [para(15383(a,1),7699(a,1,1))]. 15516 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(15390(a,2),7761(a,1))]. 15517 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(198,a,10886,a(flip),b,15391,a(flip)),flip(a)]. 15518 x / T(x,y * K(z,u)) != w | K(K(z,u) * y,x) = w. [para(15405(a,1),4965(a,1,2))]. 15520 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(15405(a,1),15124(a,2,2))]. 15521 K(x,y * K(z \ 1,u)) = K(x,K(z,u) * y). [hyper(198,a,15257,a,b,15411,a),flip(a)]. 15522 K(x,K(y,z) \ u) = K(x,u * K(y,z)). [hyper(198,a,15133,a,b,15411,a(flip)),flip(a)]. 15523 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11699(a,1),15411(a,2,2))]. 15524 K(x,y * K(K(z,u) * w,v5)) = K(x,y * K(v5,w * K(z,u))). [para(15411(a,1),15160(a,1,2,2)),flip(a)]. 15525 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(198,a,15040,a,b,15412,a),flip(a)]. 15526 K(x,T(y,z)) \ K(u,w) = K(w,u) \ K(y,T(x,z)). [hyper(198,a,7198,a,b,15419,a),flip(a)]. 15527 K(x,y) \ K(z,u) = K(u,z) \ K(y,x). [hyper(198,a,5281,a,b,15419,a)]. 15528 x \ (T(x,y) * K(z,u)) = K(u,z) \ K(x,y). [hyper(198,a,5215,a,b,15419,a),flip(a)]. 15532 K(x,K(y,z) \ (u * y)) = K(x,u * T(y,z)). [hyper(198,a,15162,a(flip),b,15424,a)]. 15533 K(x,K(y,z) \ (u / y)) = K(x,u / T(y,z)). [para(7391(a,1),15424(a,2,2))]. 15534 K(x,K(y,y \ z) \ (u / z)) = K(x,u / (y * (z / y))). [para(10684(a,1),15424(a,2,2))]. 15535 K(x,K(y \ z,y) \ (u * z)) = K(x,u * (y * (z / y))). [para(10872(a,1),15424(a,2,2))]. 15537 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(198,a,15025,a,b,15432,a),flip(a)]. 15538 K(L((x / y) \ z,x / y,y),u) = K((z * y) / x,T(u,y \ x)). [hyper(198,a,15061,a,b,15432,a(flip)),flip(a)]. 15539 T(x,K(y,z) \ u) = T(x,u * K(y,z)). [hyper(198,a,15158,a,b,15443,a)]. 15540 K(x / (y * K(z,u)),T(w,K(u,z) \ y)) = K((y * K(z,u)) \ x,w). [para(15443(a,2),7189(a,1,2))]. 15541 T(x,(y * z) / T(z,u)) = T(x,K(z,u) \ y). [para(7435(a,2),15443(a,2,2)),flip(a)]. 15542 T(x,K(y,z) \ (u \ (y * z))) = T(x,u \ (z * y)). [para(14801(a,1),15443(a,2,2))]. 15543 T(x,T(y,T(x,y) \ z)) * (z / T(x,y)) = x * (z / x). [para(15444(a,1),7978(a,1,1))]. 15544 K((x / y) * T(y,z),u) = K(K(z,y) \ x,u). [para(6256(a,2),15457(a,2,1)),flip(a)]. 15545 K((x / (y / z)) * (z \ y),u) = K(K(z,z \ y) \ x,u). [para(6507(a,2),15457(a,2,1)),flip(a)]. 15551 T(x,T(y,T(z,u))) != w | T(x,T(y,z)) = w. [para(15473(a,2),4927(a,1))]. 15552 K(x,K(y,z)) \ T(u,x) = x \ (u * T(x,K(y,z))). [hyper(198,a,7478,a,b,15505,a)]. 15553 K(x,K(y,z)) \ (u \ x) = u \ T(x,K(y,z)). [hyper(198,a,14606,a(flip),b,15505,a)]. 15554 K(x,K(y,z)) \ (u * x) = u * T(x,K(y,z)). [hyper(198,a,6257,a(flip),b,15505,a)]. 15556 T(R(K(x,K(y,z)) \ u,K(w,v5),w),K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(15505(a,2),15235(a,1,1,1))]. 15557 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),15509(a,2,2,2))]. 15559 L(K(x,y),z,u) \ K(w,v5) = K(v5,w) \ K(L(y,z,u),x). [para(11690(a,2),15527(a,1,1))]. 15560 T(x,K(y,z) \ u) = T(x,K(z,y) \ u). [hyper(198,a,15443,a,b,15539,a)]. 15561 T(x,K(y,z) \ (u * y)) = T(x,u * T(y,z)). [para(6257(a,1),15539(a,2,2))]. 15562 T(x,K(y,z) \ T(u,y)) = T(x,y \ (u * T(y,z))). [para(7478(a,2),15539(a,2,2))]. 15563 T(x,y \ (T(y,z) * u)) = T(x,K(y,z) \ u). [para(5366(a,2),15560(a,1,2))]. 15564 T(x,K(y,z) \ (y / u)) = T(x,T(y,z) / u). [para(14692(a,1),15560(a,1,2)),flip(a)]. 15565 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7172(a,2),15373(a,1,2))]. 15567 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(13011(a,1),15373(a,1,2))]. 15568 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(13034(a,1),15373(a,1,2))]. 15572 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(13028(a,1),15499(a,1,2))]. 15573 T(x,T(y,z / u)) != w | T(x,T(y,u \ z)) = w. [para(8025(a,1),15551(a,1,2))]. 15576 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(198,a,9311,a(flip),b,15397,a(flip)),flip(a)]. 15577 K(x,K(y,z)) * (u * z) = u * T(z,K(x,y)). [para(7715(a,2),15397(a,1,1))]. 15579 K(T(x * T(y,K(z,u)),K(z,u)) / y,T(w,x * T(y,K(z,u)))) = K(T(x,K(u,z) * y),w). [para(15113(a,1),15465(a,2,1))]. 15580 T(x,y) * K(z,L(T(u,x),w,v5)) = K(z,L(u,w,v5)) * T(x,y). [para(40(a,2),15475(a,1,2,2))]. 15581 K(x,y) \ K(z,T(u,y)) = y \ (K(u,z) \ T(y,x)). [para(15476(a,1),5366(a,1,2)),flip(a)]. 15582 T(x \ (T(x,T(y,z)) * u),T(x,T(y,z)) * u) = T(K(y,T(x,z)) \ u,u * T(x,T(y,z))). [hyper(198,a,7625,a,b,15480,a(flip)),flip(a)]. 15583 T(x,y \ (z * T(y,u))) = T(x,T(y,u) * (z / y)). [para(1297(a,1),15483(a,1,2))]. 15584 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [hyper(7759,a,15507,a)]. 15585 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [para(11699(a,1),15521(a,1,2)),flip(a)]. 15586 K(x,y) \ K(y,T(x,z)) = y \ T(T(y,x),T(x,z)). [para(7213(a,1),15528(a,1,2)),flip(a)]. 15587 T(x,K(y,z)) \ (u * x) = x \ (u * T(x,K(y,z))). [hyper(65,a,15554,a(flip),b,4945,a),flip(a)]. 15588 K(x,K(y,z)) \ (u * z) = u * T(z,K(x,y)). [para(7715(a,2),15554(a,1,1))]. 15589 K(x,x * (K(y,z) \ (u * y))) \ T(x,u * T(y,z)) = R(x,K(y,z) \ (u * y),x). [para(15561(a,1),5422(a,1,2))]. 15590 T(x,y \ (((y \ z) \ z) * u)) = T(x,K(y,y \ z) \ u). [para(107(a,1),15563(a,1,2,2,1))]. 15591 T(x,K(y,z) \ (z / u)) = T(x,T(z,y) / u). [hyper(198,a,15560,a,b,15564,a(flip)),flip(a)]. 15592 K(x,T(y,z)) \ (u * z) = K(x,y) \ (u * T(z,K(x,y))). [para(15588(a,1),8362(a,1,2)),flip(a)]. 15593 T(x,K(y,T(y,z) \ z) \ ((T(y,z) \ z) / u)) = T(x,(((y \ T(z,y)) \ z) \ z) / u). [para(8132(a,2),15591(a,2,2,1))]. 15596 K(x,(y / z) \ T(y,u)) != w | K(x,K(u,y) \ z) = w. [para(14605(a,2),15500(a,1,2))]. 15597 K(x,y * K(z,u)) != w | K(x,K(z,u) \ y) = w. [para(15160(a,1),15500(a,1))]. 15598 K(x,K(y,z) \ u) != w | K(x,K(z,y) \ u) = w. [para(15522(a,2),15500(a,1))]. 15601 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [hyper(15568,a,12352,a)]. 15603 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(102(a,1),15568(a,1,2,2))]. 15604 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(7711(a,1),15568(a,1))]. 15606 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(14703(a,2),15572(a,1,2))]. 15608 K(x,K(y,z) * u) != w | K(x,K(y,z) \ u) = w. [para(15411(a,2),15597(a,1))]. 15609 K(x,L(K(y,z),u,w) \ v5) != v6 | K(x,K(L(z,u,w),y) \ v5) = v6. [para(11690(a,2),15598(a,1,2,1))]. 15611 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(198,a,7108,a,b,15459,a)]. 15612 T(x,K(y,z)) * ((x * T(x \ u,w)) / T(x,K(y,z))) = x * T(u / x,w). [para(365(a,1),15463(a,2,2))]. 15613 (x / T(y,T(z,u))) * T(y,z) = T(y,z) * (T(y,T(z,u)) \ x). [para(15482(a,1),106(a,1,2)),flip(a)]. 15614 K(x,T(y,z)) \ T(y,T(u,x)) = T(T(y,u),T(x,z)). [para(7172(a,1),15486(a,1,1))]. 15615 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(10963(a,1),15512(a,1,1,2,2))]. 15616 K(x / K(y,z),K(y,z)) \ T(u,x / K(y,z)) = (x / K(y,z)) \ (u * (K(y,z) \ x)). [para(108(a,1),15552(a,2,2,2))]. 15617 K(x,K(y,z)) \ T(u,z) = z \ (u * T(z,K(x,y))). [para(7715(a,2),15552(a,1,1))]. 15618 K(x,T(y,z)) \ K(z,u) = z \ (K(x,y) \ T(z,u)). [hyper(198,a,15526,a,b,15581,a(flip)),flip(a)]. 15619 x \ (K(y,z) \ T(x,x \ z)) = z \ (x * (T(z,y) / x)). [hyper(198,a,14826,a(flip),b,15581,a(flip))]. 15620 T(x,K(y,z) \ T(u,y)) = T(x,T(y,z) * (u / y)). [hyper(198,a,15562,a,b,15583,a(flip)),flip(a)]. 15621 (x \ T(T(x,y),T(y,z))) \ (T(K(x,y),z) * T(x,x \ y)) = L(R(x,x \ y,x),K(x,y),T(K(x,y),z)). [para(15586(a,1),11617(a,1,1))]. 15622 (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(x,y))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(7950(a,1),15587(a,1,1)),flip(a)]. 15623 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(15611(a,2),19(a,1))]. 15624 K(x,T(y,z)) \ T(y,u \ x) = T(T(y,x / u),T(x,z)). [para(8462(a,1),15614(a,1,2))]. 15625 x \ (K(y,z) \ T(x,x \ z)) = (x * (T(z,y) / x)) / z. [hyper(198,a,13086,a(flip),b,15618,a(flip))]. 15626 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7872(a,1),15478(a,1,1))]. 15627 K(K(x,y) * z,u) = K(z * K(y,x),u). [hyper(15518,a,15159,a)]. 15628 K(K(x,y) \ z,u) = K(z * K(x,y),u). [para(5281(a,2),15627(a,1,1))]. 15630 T(x,K(y * K(z,u),w) * v5) != v6 | T(x,v5 * K(K(u,z) * y,w)) = v6. [para(15627(a,1),15406(a,1,2,1))]. 15631 K(K(x,y) \ (z / y),u) = K(z / T(y,x),u). [para(7391(a,1),15628(a,2,1))]. 15632 K(K(x,y) \ z,u) != w | K(K(y,x) \ z,u) = w. [para(15628(a,2),15503(a,1))]. 15633 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(13712(a,1),15386(a,1,2,2))]. 15634 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(15394(a,1),15407(a,1,2)),flip(a)]. 15635 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(198,a,32,a,b,15634,a)]. 15637 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(15200,a,15635,a)]. 15638 T(x,K(y,K(z,u)) \ w) = T(x,w). [para(5281(a,2),15635(a,1,2))]. 15639 T(x,T(y,K(z,u)) \ w) = T(x,y \ w). [para(5245(a,1),15635(a,1,2))]. 15641 T(x,y \ T(z,K(u,w))) = T(x,y \ z). [para(5544(a,1),15635(a,1,2)),flip(a)]. 15642 T(x,y * K(z,K(u,w))) = T(x,y). [para(7855(a,1),15635(a,1,2)),flip(a)]. 15643 T(x,y / T(z,K(u,w))) = T(x,y / z). [para(8177(a,1),15635(a,1,2))]. 15644 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [para(15635(a,1),15127(a,1,2)),flip(a)]. 15645 T(x,y * T(z,K(u,w))) = T(x,y * z). [para(5734(a,1),15637(a,1,2))]. 15646 T(x,T(y,T(z,u)) / w) = T(x,T(y,z) / w). [para(13973(a,1),15637(a,1,2))]. 15647 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(15642(a,1),4869(a,2,2))]. 15648 T(x,(K(y,z) \ u) \ w) = T(x,(u * K(z,y)) \ w). [para(7950(a,1),15639(a,1,2,1)),flip(a)]. 15649 T(x,y \ T(z,T(u,w))) = T(x,y \ T(z,u)). [para(7516(a,1),15641(a,1,2,2))]. 15650 T(x,y / (K(z,u) \ w)) = T(x,y / (w * K(u,z))). [para(7950(a,1),15643(a,1,2,2)),flip(a)]. 15651 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(198,a,4872,a,b,15644,a)]. 15652 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(15644(a,2),5002(a,1))]. 15653 K(x,K(y,K(z,u)) \ w) = K(x,w). [hyper(15608,a,15651,a)]. 15654 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(198,a,15411,a(flip),b,15651,a(flip)),flip(a)]. 15655 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(198,a,15134,a(flip),b,15651,a(flip)),flip(a)]. 15656 K(x,K(K(y,z),u) \ w) = K(x,w). [para(5281(a,2),15651(a,1,2))]. 15657 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(5733(a,1),15651(a,1,2))]. 15659 K(x,(K(y,z) * (u / K(y,z))) \ w) = K(x,u \ w). [para(11390(a,1),15651(a,1,2))]. 15660 K(x,y / T(z,K(u,w))) = K(x,y / z). [para(15584(a,1),15651(a,1,2))]. 15661 K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). [para(15611(a,1),15651(a,1,2))]. 15662 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(8332(a,1),15654(a,1,2))]. 15663 T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). [para(7516(a,1),15645(a,1,2,2))]. 15664 T(x,y * (K(z,u) \ w)) = T(x,y * (w * K(u,z))). [para(7950(a,1),15645(a,1,2,2)),flip(a)]. 15667 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(198,a,4869,a,b,15647,a)]. 15668 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(15647(a,2),4965(a,1))]. 15669 K(T(x,K(y,z)) \ u,w) = K(x \ u,w). [hyper(15502,a,15667,a),flip(a)]. 15670 K(K(x,K(y,z)) \ u,w) = K(u,w). [hyper(198,a,15628,a,b,15667,a(flip)),flip(a)]. 15671 K(x * T(y,K(z,u)),w) = K(x * y,w). [para(1210(a,1),15667(a,1,1))]. 15672 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(1209(a,1),15667(a,1,1))]. 15674 K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). [para(15667(a,1),4937(a,2,1)),flip(a)]. 15675 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(6253(a,1),15667(a,1,1)),flip(a)]. 15676 K(K(x,K(y,z)) * u,w) = K(u,w). [para(7177(a,1),15667(a,1,1))]. 15677 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). [para(15504(a,1),15667(a,1,1))]. 15678 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(9837(a,1),15676(a,1,1)),flip(a)]. 15679 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,(v5 * L(K(y,z),u,w)) \ v6). [para(11833(a,1),15655(a,1,2,1)),flip(a)]. 15680 K(x,y \ T(z,u / w)) = K(x,y \ T(z,w \ u)). [para(8754(a,1),15657(a,1,2,2)),flip(a)]. 15681 K(x,y / T(z,u / w)) = K(x,y / T(z,w \ u)). [para(8754(a,1),15660(a,1,2,2)),flip(a)]. 15682 K(T(x,T(y,z)) \ u,w) = K(T(x,y) \ u,w). [para(7516(a,1),15669(a,1,1,1))]. 15683 K(x * T(y,T(z,u)),w) = K(x * T(y,z),w). [para(7516(a,1),15671(a,1,1,2))]. 15684 K(x \ (K(y,z) \ u),w) = K(x \ (u * K(z,y)),w). [para(7950(a,1),15672(a,1,1,2)),flip(a)]. 15685 K(x \ (T(y,z) * T(u,y)),w) = K(x \ (u * T(y,z)),w). [para(8181(a,1),15672(a,1,1,2))]. 15686 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(198,a,15028,a,b,15675,a),flip(a)]. 15687 K(x / (K(y,z) \ u),w) = K(x / (u * K(z,y)),w). [para(7950(a,1),15675(a,1,1,2)),flip(a)]. 15689 K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. [para(5734(a,1),15652(a,1,2))]. 15690 K(x,K(y,K(z,u)) \ w) != v5 | K(x,w) = v5. [para(7754(a,2),15652(a,1,2))]. 15691 K(T(x,K(y,z)) / u,w) != v5 | K(x / u,w) = v5. [para(1217(a,1),15668(a,1,1))]. 15692 K(K(x,K(y,z)) \ u,w) != v5 | K(u,w) = v5. [para(15505(a,2),15668(a,1,1))]. 15693 K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. [para(15507(a,1),15692(a,1,1))]. 15694 T(T(x,y),z \ T(u,x)) = T(T(x,y),z \ u). [hyper(198,a,9122,a(flip),b,15649,a(flip))]. 15695 K(x,K(y,T(z,u)) * w) = K(x,w * K(y,z)). [hyper(15435,a,15661,a)]. 15696 K(x,y * K(z,T(u,w))) = K(x,K(u,z) \ y). [hyper(198,a,15424,a,b,15661,a)]. 15697 K(x,y * (z / T(u,K(w,v5)))) = K(x,y * (z / u)). [para(6253(a,1),15662(a,1,2,2)),flip(a)]. 15698 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [para(7177(a,1),15662(a,1,2,2))]. 15700 K(x,y * (z \ (K(u,w) * v5))) = K(x,y * (z \ (v5 * K(u,w)))). [para(14752(a,1),15662(a,1,2,2)),flip(a)]. 15702 R(T(x / y,y * T(z,u)),y,T(z,T(u,w))) != v5 | (y * T(z,T(u,w))) \ (x * T(z,T(u,w))) = v5. [para(15663(a,1),806(a,1,1))]. 15703 K(K(x,T(y,z)) * u,w) = K(u * K(y,x),w). [hyper(198,a,15627,a(flip),b,15677,a)]. 15704 K(T(x * y,x) \ ((x * T(y,K(x,z))) * u),w) != v5 | K(K(x * T(y,K(x,z)),x) \ u,w) = v5. [para(15682(a,1),8721(a,1))]. 15705 K(T(x * y,y) \ ((x * T(y,K(x,z))) * u),w) != v5 | K(K(x * T(y,K(x,z)),y) \ u,w) = v5. [para(15682(a,1),8722(a,1))]. 15706 (x \ T(y,x)) \ (x \ (y * T(x,T(y,z)))) = T(T(x,T(y,z)),x \ y). [hyper(198,a,4463,a,b,15694,a(flip)),flip(a)]. 15708 K(x,K(y,T(z,u)) \ w) = K(x,K(z,y) \ w). [hyper(15597,a,15696,a)]. 15709 K(x,K(y,z * u) \ w) = K(x,w * K(u * z,y)). [para(13011(a,1),15696(a,1,2,2)),flip(a)]. 15710 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * ((w * K(z,u)) \ v5)). [para(9837(a,1),15698(a,1,2,2)),flip(a)]. 15711 K((T(x,y) \ z) * K(x,u),w) = K(T(T(x,y),u) \ z,w). [para(5245(a,1),15703(a,1,1)),flip(a)]. 15712 K(x,K(y,T(z,u)) \ w) = K(x,K(y,z) \ w). [hyper(198,a,15137,a,b,15708,a)]. 15713 K(x,K(y,T(z,u)) \ w) != v5 | K(x,K(y,z) \ w) = v5. [para(15708(a,2),15598(a,1))]. 15714 K(x,K(y,z / u) \ w) = K(x,K(y,u \ z) \ w). [para(108(a,1),15712(a,1,2,1,2)),flip(a)]. 15715 K(x,K(y,T(z,u)) \ w) != v5 | K(x,K(z,y) \ w) = v5. [para(15712(a,2),15598(a,1))]. 15716 K(x,y * (z * K(y,u))) != w | K(x,T(y,u) * z) = w. [para(5227(a,1),15689(a,1,2))]. 15717 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(7281(a,1),15689(a,1,2,2))]. 15718 K(T(x,T(y,z)) / u,w) != v5 | K(T(x,y) / u,w) = v5. [para(7516(a,1),15691(a,1,1,1))]. 15719 K(x / (y * K(z,u)),w) != v5 | K(x / (K(u,z) \ y),w) = v5. [para(7950(a,1),15693(a,1,1,2))]. 15720 T(x,y / (K(y,z) \ u)) = T(x,T(y,z) / u). [para(14761(a,1),15650(a,2,2))]. 15721 T(x,T(y,T(z,u)) / (K(z,T(y,u)) \ w)) = T(x,y / w). [para(7199(a,1),15720(a,1,2,2)),flip(a)]. 15723 K(x,(y / z) \ T(u,z \ y)) != w | K(x,u / (y / z)) = w. [para(15680(a,1),13649(a,1))]. 15724 K(x,(y / z) / T(u,z \ y)) = K(x,u \ (y / z)). [hyper(198,a,13524,a(flip),b,15681,a(flip))]. 15725 K(x \ (K(y,z) \ u),x) \ (u * K(z,y)) = x * ((u * K(z,y)) / x). [para(15684(a,2),5324(a,1,1))]. 15726 K(x,y * (z / T(u,T(w,v5)))) = K(x,y * (z / T(u,w))). [para(7516(a,1),15697(a,1,2,2,2))]. 15728 K(x,K(y,z \ u) \ ((u / z) \ w)) = K(x,T(u / z,y) \ w). [hyper(198,a,15138,a(flip),b,15714,a(flip))]. 15729 K(x,T(y,z)) \ (T(x,T(z,u)) * y) = y * T(x,T(z,u)). [hyper(65,a,15474,a(flip),b,7198,a(flip))]. 15731 K(x,T(y,z)) \ T(x,y * u) = T(K(x,T(y,z)) \ x,u * y). [para(13055(a,1),15487(a,1,2))]. 15732 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(15520(a,1),7775(a,1,1))]. 15734 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(198,a,5686,a(flip),b,15525,a)]. 15735 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8253,a,15734,a)]. 15737 K(x,K(y,z) \ (u / y)) = K(x,u / (z * (y / z))). [hyper(198,a,15141,a(flip),b,15534,a(flip)),flip(a)]. 15738 K(x,y / (z * (u / z))) = K(x,y / T(u,z)). [hyper(198,a,15533,a(flip),b,15737,a(flip))]. 15739 K(x,y / ((z \ 1) * (u / (1 / z)))) = K(x,y / T(u,z \ 1)). [hyper(198,a,5810,a,b,15738,a(flip)),flip(a)]. 15740 K(x,K(y,z) \ (u * y)) = K(x,u * (z * (y / z))). [hyper(198,a,13643,a(flip),b,15535,a(flip)),flip(a)]. 15741 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [hyper(198,a,15532,a(flip),b,15740,a(flip))]. 15742 K(x,y * T(z * u,u)) = K(x,y * (u * z)). [para(15(a,1),15741(a,1,2,2,2)),flip(a)]. 15743 K(x,x * (y * z)) \ T(x,y * z) = R(x,T(z * y,y),x). [para(15742(a,1),13058(a,1,1))]. 15744 T(x,T(y,x \ z)) * (z / T(x,y)) = x * (z / x). [para(9118(a,1),15543(a,1,1,2))]. 15745 T(x,T(y,z)) * (z / T(x,y)) = x * (z / x). [para(7340(a,1),15744(a,1,1))]. 15746 T(x,T(y,z)) \ (x * (z / x)) = z / T(x,y). [hyper(71,a,15745,a)]. 15747 T(x,y) \ (x * (z / x)) = z / T(x,T(y,z)). [para(8022(a,1),15746(a,1,1))]. 15748 K((x / (y / z)) * (z \ y),u) = K(u,K(z,z \ y) \ x) \ 1. [hyper(198,a,5124,a,b,15545,a)]. 15749 K(x,y) \ K(L(x,z,u),y) = a(K(x,y),z,u). [hyper(198,a,14600,a(flip),b,15559,a(flip))]. 15750 K(x,T(y,z \ u)) \ (w * (u / z)) = K(x,y) \ (w * T(u / z,K(x,y))). [para(15432(a,1),15592(a,1,1))]. 15751 (x * (T(y,z) / x)) / y = y \ (x * (T(y,z) / x)). [hyper(198,a,15619,a(flip),b,15625,a(flip))]. 15752 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(4949,a,15674,a),flip(a)]. 15753 K(x,K(y,z)) \ T(u,w) = T(K(x,K(y,z)) \ u,w). [hyper(4692,a,15752,a)]. 15754 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(15752(a,2),7749(a,1,1))]. 15755 (T(x,K(y,z)) * (K(x,K(y,z)) \ T(u,w))) / T(x,K(y,z)) = T((x * u) / T(x,K(y,z)),w). [para(15753(a,2),5359(a,1,1,2))]. 15756 K(x,K(y,z)) \ T(x * u,w) = T(T(x,K(y,z)) * u,w). [para(7755(a,1),15753(a,2,1))]. 15757 K(x \ (((y \ z) \ z) * T(u,y)),w) = K(x \ (u * T(y,y \ z)),w). [para(107(a,1),15685(a,1,1,2,1))]. 15758 K(T(T(x,y),y) \ z,u) != w | K(x \ z,u) = w. [para(15711(a,1),15502(a,1))]. 15759 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(13657(a,1),15758(a,1))]. 15761 K((T(x,y) / y) / T(z,y \ x),u) != w | K(z \ (T(x,y) / y),u) = w. [para(13511(a,1),15759(a,1,1,2))]. 15762 T(x,T(y,z) / (K(z,T(y,u)) \ w)) = T(x,y / w). [hyper(198,a,15646,a(flip),b,15721,a(flip)),flip(a)]. 15764 K(x * (y / T(z,T(u,w))),v5) = K(v5,x * (y / T(z,u))) \ 1. [para(15726(a,1),5124(a,1,1)),flip(a)]. 15765 T(x * T(y,z),y * x) = x * T(y,T(z,x)). [hyper(198,a,13745,a(flip),b,15729,a(flip)),flip(a)]. 15766 L(x * T(y,z),(x * T(y,z)) \ (y * x),x * T(y,z)) \ (y * x) = (y * x) / (x * T(y,T(z,x))). [para(15765(a,1),4401(a,2,2))]. 15767 T(x * T(y,K(z,u) \ x),K(z,u)) = y * T(x,K(z,u)). [para(15539(a,2),15732(a,1,1,2))]. 15768 K(x,K(y,z)) \ (x * (T(u,w) / x)) = T(T(x,K(y,z)) * (u / x),w). [para(4650(a,1),15756(a,1,2))]. 15769 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(198,a,15383,a,b,15387,a)]. 15770 K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. [para(15506(a,1),15652(a,1,2))]. 15771 R(x,T(y * z,z),x) = R(x,z * y,x). [hyper(198,a,5422,a(flip),b,15743,a(flip))]. 15772 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),15769(a,1,2,2,1)),flip(a)]. 15773 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7898(a,2),15769(a,1,2))]. 15775 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(5889(a,1),15382(a,2,2))]. 15776 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(198,a,8531,a(flip),b,15775,a)]. 15778 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,L(y,u,w))). [hyper(198,a,8522,a(flip),b,15776,a)]. 15779 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),15416(a,1,1,1,1))]. 15780 T(T(x,T(y,z)),T(T(z,y),u)) = T(x,T(T(z,y),u)) * K(x,y). [hyper(375,a,15484,a)]. 15782 x \ T(x,y * K(K(z,u) * w,v5)) = K(x,y * K(v5,w * K(z,u))). [hyper(4895,a,15524,a)]. 15783 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(7794,a,15576,a)]. 15784 (T(x,K(y,L(z,u,w)) * v5) * K(y,L(T(z,x),u,w))) / (K(y,L(z,u,w)) * x) = K(x,v5 * K(y,L(z,u,w))). [hyper(66,a,15580,a,b,13041,a)]. 15785 K(x,K(y,z \ (K(u,w) * v5))) * K(y,x * (z \ (v5 * K(u,w)))) = K(y,(z \ (K(u,w) * v5)) * x). [para(15700(a,1),13077(a,1,2))]. 15786 K(x,T(y,(K(z,u) * w) \ v5) * ((w * K(z,u)) \ v5)) = K(x,((K(z,u) * w) \ v5) * y). [hyper(198,a,15146,a(flip),b,15710,a(flip))]. 15787 K(x,K(y,z * u) \ ((u / (z \ 1)) \ w)) = K(x,T(u / (z \ 1),y) \ w). [para(14589(a,1),15728(a,1,2,1))]. 15788 K((x / (y / z)) * (z \ y),u) = K(u,K(y,z) \ x) \ 1. [para(15141(a,1),15748(a,2,1))]. 15789 K((x / (y / z)) * (z \ y),u) = K(K(y,z) \ x,u). [hyper(198,a,5124,a(flip),b,15788,a)]. 15790 K(K(x,x \ y) \ z,u) = K(K(y,x) \ z,u). [hyper(198,a,15545,a(flip),b,15789,a(flip)),flip(a)]. 15791 K(K(x * y,y) \ z,u) = K(K(y,x) \ z,u). [para(5116(a,1),15790(a,1,1,1)),flip(a)]. 15792 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(15504(a,1),15754(a,1,1,1))]. 15793 K(x * (y / T(z,T(u,w))),v5) = K(x * (y / T(z,u)),v5). [hyper(198,a,5124,a(flip),b,15764,a)]. 15795 T(T(x,T(y,z)),T(T(z,y),u)) = K(x,T(T(z,y),u)) * T(x,y). [hyper(198,a,5240,a,b,15780,a)]. 15796 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(15783(a,2),19(a,1))]. 15797 T(T(x,T(y,z)),T(T(z,y),u)) = T(T(x,y),T(z,u)). [hyper(198,a,7330,a(flip),b,15795,a)]. 15798 T(x,T(y,z)) * K(x,T(z,u)) = T(T(x,y),T(z,u)). [hyper(198,a,7966,a(flip),b,15797,a(flip)),flip(a)]. 15799 K(T(x,y),z) \ T(z,T(y,u)) = T(T(z,x),T(y,u)). [hyper(5517,a,15798,a)]. 15800 K(x,T(y,z)) \ T(y,T(z,u)) = T(T(y,x),T(z,u)). [para(7172(a,1),15799(a,1,1))]. 15801 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(15800(a,1),15028(a,2,1,1,1))]. 15802 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(198,a,8047,a(flip),b,15511,a)]. 15803 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(15516,a,15802,a)]. 15804 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),15803(a,1,2,1,1))]. 15805 K((x * (y / x)) \ (x * z),u) = K((z * x) / y,T(u,x \ y)). [para(94(a,1),15538(a,1,1))]. 15806 K((x * (y / x)) \ (x * z),y) = K(y \ (z * x),T(y,x \ y)). [hyper(198,a,7230,a(flip),b,15805,a)]. 15807 K((x * (y / x)) \ (x * z),y) = K(y \ (z * x),T(y,x)). [hyper(198,a,8091,a(flip),b,15806,a)]. 15808 K(x \ (y * z),T(x,z)) = K(x \ (z * y),x). [hyper(198,a,6716,a(flip),b,15807,a(flip))]. 15809 K((x \ y) \ (z * y),y / x) = K((x \ y) \ (y * z),x \ y). [hyper(8613,a,15808,a)]. 15811 K((x \ y) \ (z * y),y / x) = K(x * z,x \ y). [hyper(198,a,13246,a(flip),b,15809,a)]. 15812 K(x \ ((y * x) * z),z \ x) = K(z * y,z \ x). [hyper(198,a,15089,a(flip),b,15811,a(flip)),flip(a)]. 15813 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(198,a,15523,a(flip),b,15585,a(flip))]. 15814 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(198,a,7614,a,b,15813,a(flip)),flip(a)]. 15815 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4924(a,2),15814(a,2,2,2))]. 15816 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(198,a,14588,a(flip),b,15815,a(flip)),flip(a)]. 15817 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(15194,a,15816,a)]. 15818 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(14722,a,15817,a),flip(a)]. 15819 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(198,a,13525,a(flip),b,15818,a(flip)),flip(a)]. 15820 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(15819(a,1),4937(a,2,1))]. 15821 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(198,a,4937,a,b,15820,a)]. 15822 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(198,a,15116,a,b,15821,a(flip)),flip(a)]. 15823 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(106(a,1),15437(a,1,2,1,1,1))]. 15825 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(15823(a,1),5025(a,1,2)),flip(a)]. 15827 ((x * y) / x) * T(x,T((x * y) / x,z)) = y * T(T(x,y),T(y,z)). [hyper(198,a,6539,a(flip),b,15490,a(flip))]. 15829 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(15496,a,15686,a),flip(a)]. 15830 (x \ T(y,x)) \ T(y,K(x,z)) = T(T(x,T(y,z)),x \ y). [para(8537(a,1),15706(a,1,2))]. 15831 ((x * y) / x) * T(x,T((x * y) / x,z)) = T(x,T(y,z)) * y. [hyper(198,a,160,a(flip),b,15827,a)]. 15832 ((x * y) / x) * T(x,(x * T(y,z)) / x) = T(x,T(y,z)) * y. [para(369(a,2),15831(a,1,2,2))]. 15833 ((x * y) / x) * T(x,T(y,z)) = T(x,T(y,z)) * y. [para(4094(a,1),15832(a,1,2))]. 15834 T(T((x * y) / x,z),T(x,T(y,u)) * ((x * y) / x)) = T(T((x * y) / x,T(x,T(y,u)) * y),z). [para(15833(a,1),4254(a,1,1,2)),flip(a)]. 15836 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(7399,a,15792,a),flip(a)]. 15837 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(7094(a,2),15836(a,1,2))]. 15838 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7467,a,15837,a),flip(a)]. 15839 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(198,a,11483,a,b,15838,a(flip)),flip(a)]. 15840 T(K(x,K(y,z)) \ u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(300(a,1),15556(a,1,1))]. 15841 K(x,K(y,z)) \ T(u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [hyper(198,a,15753,a,b,15840,a(flip)),flip(a)]. 15842 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7131(a,1),15773(a,1,2))]. 15843 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [hyper(198,a,15778,a(flip),b,15842,a(flip))]. 15845 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(198,a,5243,a(flip),b,15825,a)]. 15846 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(4054,a,15845,a)]. 15848 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(198,a,15429,a(flip),b,15846,a(flip))]. 15849 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(15848(a,2),12937(a,1,1))]. 15850 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13019(a,1),15849(a,1,1,1))]. 15851 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6121(a,2),15850(a,1,2,2))]. 15854 K((x * K(y,z)) \ u,T(w,x)) = K((K(y,z) * (u / K(y,z))) / (K(y,z) * x),w). [para(7810(a,1),15446(a,2,1,1))]. 15855 K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(y,z) * x),w). [para(5281(a,2),15854(a,2,1,1))]. 15856 K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(z,y) \ x),w). [para(5281(a,2),15855(a,2,1,2))]. 15857 K((x * K(y,z)) \ u,T(w,x)) = K(T(u,K(y,z)) / (K(z,y) \ x),w). [para(7956(a,1),15856(a,2,1,1))]. 15859 K((x * K(y,z)) \ u,T(w,x)) != v5 | K(u / (K(z,y) \ x),w) = v5. [para(15857(a,2),15691(a,1))]. 15862 T(x,T(y,z)) \ (T(x,y) * u) = K(x,K(y,z)) \ u. [hyper(4942,a,15378,a)]. 15864 K(x,K(y,z)) \ (T(x,T(y,z)) * u) = T(x,y) * u. [hyper(198,a,9699,a(flip),b,15862,a(flip))]. 15865 T(x,y) * (T(x,T(y,z)) \ u) = K(x,K(y,z)) \ u. [para(14(a,1),15864(a,1,2)),flip(a)]. 15866 T(x,T(y,T(z,u)) * w) = T(x,T(y,z) * w). [para(15864(a,1),15638(a,1,2)),flip(a)]. 15867 K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). [para(15864(a,1),15670(a,1,1)),flip(a)]. 15868 T(x,T(y,z) * T(z,u)) = T(x,T(z,u) * y). [hyper(198,a,15143,a(flip),b,15866,a(flip))]. 15869 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(5331(a,2),15867(a,1,1))]. 15870 T(x,T(y,z) * (u / y)) = T(x,(y \ u) * T(y,z)). [para(108(a,1),15868(a,1,2,1)),flip(a)]. 15871 (x / T(y,T(z,u))) * T(y,z) = K(y,K(z,u)) \ x. [hyper(198,a,15613,a,b,15865,a(flip)),flip(a)]. 15872 T(x,K(y,z) \ T(u,y)) = T(x,(y \ u) * T(y,z)). [hyper(198,a,15620,a,b,15870,a(flip)),flip(a)]. 15873 K(T(x,y) * (z / T(x,T(y,u))),w) = K(K(x,K(y,u)) \ z,T(w,x)). [para(15871(a,1),15471(a,1,1)),flip(a)]. 15874 T(x,K(y,z) \ T(y * u,y)) = T(x,u * T(y,z)). [para(13(a,1),15872(a,2,2,1))]. 15875 K(T(x,y) * (z / T(x,T(y,u))),w) = K(z,T(w,x)). [hyper(198,a,15670,a(flip),b,15873,a)]. 15878 K(x,K(y,z) \ (x * (u * y))) \ T(x,u * T(y,z)) = R(x,K(y,z) \ (u * y),x). [para(11003(a,2),15589(a,1,1))]. 15879 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6362(a,1),15537(a,1,2,2))]. 15880 T(x,K(y,y \ z) \ ((T(y,z) \ z) / u)) = T(x,(((y \ T(z,y)) \ z) \ z) / u). [para(9175(a,1),15593(a,1,2,1))]. 15882 (K(x,y) \ z) \ (u * (z * K(y,x))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(7950(a,1),15622(a,1,2,2))]. 15883 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(7032(a,1),15839(a,1,2,1))]. 15884 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6648(a,1),15879(a,1,2)),flip(a)]. 15885 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(198,a,13,a(flip),b,15884,a)]. 15886 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5832,a,15885,a),flip(a)]. 15888 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(15885(a,1),5832(a,1))]. 15889 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(15611(a,1),15883(a,1,2,1))]. 15890 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5312,a,15889,a),flip(a)]. 15891 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(198,a,15495,a(flip),b,15890,a(flip)),flip(a)]. 15893 K(T(x * T(y,K(z,u)),K(z,u)) / y,T(w,x * T(y,K(z,u)))) = K(x,T(w,K(u,z) * y)). [hyper(198,a,7172,a(flip),b,15579,a)]. 15894 (x * T(y,z)) / T(x,K(u,w)) = T((x * y) / T(x,K(u,w)),z). [para(5214(a,1),15755(a,1,1))]. 15895 (x * T(x \ y,z)) / T(x,K(u,w)) = T(y / T(x,K(u,w)),z). [para(14(a,1),15894(a,2,1,1))]. 15897 T(x,K(y,z)) * T(u / T(x,K(y,z)),w) = x * T(u / x,w). [para(15895(a,1),15612(a,1,2))]. 15898 T((x / T(y,K(z,u))) * T(T(y,K(z,u)),K(w,v5) \ (x / T(y,K(z,u)))),K(w,v5)) = y * T(x / y,K(w,v5)). [hyper(198,a,15767,a,b,15897,a(flip)),flip(a)]. 15899 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),15822(a,1,2,1,2))]. 15900 K(T(x * T(y,K(z,u)),K(z,u)) / y,T(w,x * y)) = K(x,T(w,K(u,z) * y)). [para(15645(a,1),15893(a,1,2))]. 15901 K((x * T(y,K(z,u))) / y,T(w,x * y)) = K(x,T(w,K(u,z) * y)). [hyper(15691,a,15900,a)]. 15904 K(x * K(y,K(z,u)),T(w,x * y)) = K(x,T(w,K(u,z) * y)). [para(6249(a,1),15901(a,1,1))]. 15905 K(x,T(y,K(z,u) * w)) = K(x,T(y,x * w)). [hyper(15668,a,15904,a),flip(a)]. 15908 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(198,a,7240,a(flip),b,15905,a)]. 15909 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(15572,a,15908,a)]. 15910 K(x,T(y,K(z,u) \ w)) = K(x,T(y,w)). [hyper(15356,a,15908,a)]. 15913 K(x,K(y,K(z,u) * w)) = K(x,y) * K(y,T(x,w)). [para(15908(a,1),7739(a,1,2)),flip(a)]. 15919 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [para(16(a,1),15909(a,1,2,2)),flip(a)]. 15920 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(6432(a,1),15909(a,1,2,2))]. 15921 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(15909(a,1),7813(a,1,1))]. 15925 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(15909(a,1),15018(a,1))]. 15926 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(8118,a,15919,a)]. 15927 T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). [para(15919(a,1),4924(a,2,2))]. 15928 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(15926(a,1),7813(a,1,1))]. 15929 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [hyper(198,a,4924,a,b,15927,a)]. 15930 T(x,T(y,K(z,u) \ w)) = T(x,T(y,w)). [hyper(15573,a,15929,a)]. 15932 T(x,T((K(y,z) \ u) \ w,u)) != v5 | T(x,w / (K(y,z) \ u)) = v5. [para(15930(a,1),14721(a,1))]. 15933 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(198,a,7739,a(flip),b,15913,a)]. 15935 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(15568,a,15933,a)]. 15938 K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),15933(a,1,2,2)),flip(a)]. 15939 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5518(a,1),15933(a,1,2,2))]. 15941 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(8177(a,1),15933(a,1,2,2))]. 15942 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(11078(a,1),15933(a,1,2,2)),flip(a)]. 15943 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(11358(a,1),15933(a,1,2,2))]. 15944 K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). [para(15523(a,1),15933(a,1,2))]. 15945 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(8117,a,15935,a)]. 15946 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(6431(a,2),15935(a,1,2,2))]. 15947 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(6432(a,1),15935(a,1,2,2))]. 15948 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(6433(a,2),15935(a,1,2,2))]. 15949 T(x,K(y,z * K(u,w))) = K(y,K(x,z)) * x. [para(15935(a,1),7718(a,1,1)),flip(a)]. 15950 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [para(15935(a,1),7730(a,1,1))]. 15951 K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). [para(7407(a,1),15935(a,1,2,2))]. 15952 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(9741(a,1),15935(a,1,2,2)),flip(a)]. 15953 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10676(a,1),15935(a,1,2,2))]. 15954 K(x,K(y,z)) * K(y,x * (z * K(u,w))) = K(y,(z * K(u,w)) * x). [para(15935(a,1),13077(a,1,1))]. 15955 K(x,K(y,K(z,u) \ w)) = K(w,K(x,y)). [hyper(198,a,7715,a(flip),b,15938,a)]. 15957 (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(w,v5))) = K(w,K(v5,z)) \ T(u,K(x,y) \ z). [para(15938(a,1),15617(a,1,1)),flip(a)]. 15958 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(198,a,7733,a,b,15945,a)]. 15960 K(x,K(K(y,z) \ u,w)) = K(u,K(x,w)). [hyper(7761,a,15955,a)]. 15961 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8415,a,15958,a)]. 15962 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(8050,a,15958,a),flip(a)]. 15963 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(7761,a,15958,a)]. 15964 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(198,a,15510,a,b,15958,a(flip)),flip(a)]. 15965 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(15958(a,1),8050(a,1))]. 15971 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(8338,a,15962,a)]. 15972 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1217(a,1),15962(a,1,2,1))]. 15974 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(198,a,15962,a,b,15963,a)]. 15975 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [hyper(198,a,7718,a(flip),b,15949,a)]. 15976 T(x,K(y,z \ T(u,w))) = T(x,K(y,z \ u)). [para(1209(a,1),15975(a,1,2,2))]. 15977 x \ T(y * T(x,K(z,u)),K(z,u * K(w,v5))) = T(y,K(u * K(w,v5),z) * x). [para(15975(a,1),15113(a,1,2,1,2))]. 15978 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(198,a,15804,a(flip),b,15972,a(flip))]. 15979 (x \ T(y,z)) \ T(u,K(x \ T(y,z),w)) = T((x \ T(y,z)) \ u,K(w,x \ y)). [hyper(8232,a,15976,a)]. 15980 T(x,K(y \ T(z,u),w)) = T(x,K(w,y \ z)). [hyper(7794,a,15976,a)]. 15982 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(8245,a,15920,a)]. 15984 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(198,a,15601,a(flip),b,15942,a(flip)),flip(a)]. 15987 K(x,K(y,z * (u * (w * (v5 / w))))) = K(x,K(y,z * (u * v5))). [para(8270(a,1),15944(a,1,2,2,2))]. 15988 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(15947(a,2),8330(a,1,1))]. 15990 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1217(a,1),15952(a,1,2,2,1))]. 15991 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(5727(a,1),15952(a,1,2,2,1))]. 15992 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6553(a,1),15952(a,1,2,2,1))]. 15993 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(15952(a,2),15568(a,1))]. 15994 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8115,a,15953,a)]. 15995 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(198,a,10951,a(flip),b,15974,a(flip))]. 15998 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(198,a,8002,a,b,15994,a)]. 15999 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(15994(a,1),8115(a,1))]. 16000 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(15994(a,2),8115(a,1))]. 16001 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(198,a,15772,a(flip),b,15998,a)]. 16002 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(838(a,1),15998(a,1,2,2)),flip(a)]. 16003 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(15998(a,1),8115(a,1))]. 16004 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3508(a,1),15921(a,1,1))]. 16005 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(198,a,14689,a(flip),b,15928,a(flip)),flip(a)]. 16006 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(198,a,14740,a,b,16005,a(flip)),flip(a)]. 16007 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(7741,a,15950,a),flip(a)]. 16008 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(6709,a,16007,a),flip(a)]. 16009 K(x,y) \ T(z,K(u,w)) = T(K(x,y) \ z,K(u,w)). [hyper(4692,a,16007,a)]. 16016 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(198,a,8331,a,b,15961,a)]. 16017 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(7113(a,1),15971(a,1,2,2,1))]. 16018 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(198,a,15601,a(flip),b,15984,a)]. 16019 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8115,a,16018,a)]. 16020 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5734(a,1),16018(a,1,2,2,1))]. 16021 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6756(a,1),16019(a,1,2,2,2))]. 16022 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(7855(a,1),16019(a,1,2,2,2)),flip(a)]. 16023 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(16022(a,1),15611(a,1,1))]. 16024 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(166(a,1),15990(a,1,2,2,1,1)),flip(a)]. 16025 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(15568,a,15991,a)]. 16026 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(198,a,15994,a(flip),b,16020,a(flip)),flip(a)]. 16027 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(108(a,1),16026(a,1,2,2,2,1)),flip(a)]. 16029 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(198,a,14889,a(flip),b,15978,a(flip)),flip(a)]. 16030 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(7792(a,1),15978(a,1,2,1))]. 16031 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(6244(a,1),15993(a,1,2,2))]. 16032 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(7391(a,1),15993(a,1,2,2,1))]. 16034 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(754(a,1),15992(a,1,2,2,1,1)),flip(a)]. 16035 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(198,a,14778,a(flip),b,16004,a(flip))]. 16036 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(198,a,16006,a(flip),b,16035,a(flip))]. 16037 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(16036(a,2),10161(a,2,2))]. 16038 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(198,a,8002,a,b,16021,a)]. 16039 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(15568,a,16024,a)]. 16040 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(15999,a,16038,a)]. 16041 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(57(a,1),16039(a,1,2,2,2,1,2)),flip(a)]. 16042 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(16039(a,1),15568(a,1))]. 16044 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(16040(a,2),15999(a,1))]. 16046 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(15516,a,15964,a)]. 16048 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(198,a,14991,a(flip),b,16046,a(flip))]. 16049 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(7761,a,16048,a)]. 16050 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(198,a,15517,a(flip),b,16049,a(flip))]. 16051 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(60(a,1),16050(a,1,2,2,1,2))]. 16052 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(198,a,12360,a(flip),b,16051,a(flip))]. 16053 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(198,a,15948,a(flip),b,16052,a(flip))]. 16054 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7713,a,16053,a)]. 16055 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(198,a,7711,a,b,16054,a)]. 16056 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(5050(a,1),16044(a,1,2,2,2,2))]. 16057 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(198,a,16016,a(flip),b,15995,a)]. 16059 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(198,a,8525,a(flip),b,16057,a)]. 16060 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(15965,a,16059,a)]. 16062 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(15623,a,16023,a),flip(a)]. 16063 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(7391(a,1),16062(a,1,2,2,1))]. 16064 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8118,a,16063,a)]. 16065 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(198,a,8257,a(flip),b,16064,a)]. 16066 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(108(a,1),16064(a,1,2,2,2,2)),flip(a)]. 16067 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(16064(a,1),5095(a,1,1)),flip(a)]. 16068 T(x,K(y * K(z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(15975(a,1),15977(a,1,2)),flip(a)]. 16069 T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(198,a,15113,a(flip),b,16068,a)]. 16071 T(x,y * K(K(z,u) * w,v5)) = T(x,K(w,v5) * y). [hyper(15630,a,16069,a)]. 16074 K(x,y * K(z,u * K(w,v5))) = x \ T(x,K(u,z) * y). [para(16071(a,1),15782(a,1,2)),flip(a)]. 16075 K(x,y * K(z,u * K(w,v5))) != v6 | K(x,K(u,z) * y) = v6. [para(16074(a,2),5002(a,1))]. 16077 (x \ T(y,x)) \ T(y,K(x \ T(y,x),z)) = T(T(x,y),x \ T(y,z)). [hyper(198,a,11422,a(flip),b,15979,a)]. 16078 (x \ T(y,x)) \ T(y,K(z,x \ y)) = T(T(x,y),x \ T(y,z)). [para(15980(a,1),16077(a,1,2))]. 16079 (x \ T(y,x)) \ T(y,K(x,z)) = T(T(x,y),x \ T(y,z)). [para(8067(a,1),16078(a,1,2))]. 16081 T(T(x,T(y,z)),x \ y) = T(T(x,y),x \ T(y,z)). [hyper(198,a,15830,a(flip),b,16079,a(flip)),flip(a)]. 16082 T(T(x,x \ y),T(y,z)) = T(T(x,y),x \ T(y,z)). [hyper(375,a,16081,a)]. 16083 K(x,K(y,z)) \ T(u,K(x,y) \ z) = (K(x,y) \ z) \ (u * (z * K(y,x))). [para(7950(a,1),15957(a,1,2,2)),flip(a)]. 16084 (K(x,y) \ z) \ (u * (z * K(y,x))) = z \ T(u * z,K(x,y)). [hyper(198,a,15841,a(flip),b,16083,a(flip))]. 16085 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(z,y)). [hyper(198,a,15882,a(flip),b,16084,a(flip)),flip(a)]. 16086 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(y,z)). [para(7773(a,1),16085(a,2,2))]. 16087 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(7773(a,1),15899(a,1,2))]. 16088 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(198,a,14604,a,b,16002,a)]. 16089 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(15732(a,1),16087(a,1,2))]. 16090 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(15390(a,1),16088(a,2,3))]. 16091 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(198,a,15941,a(flip),b,16090,a(flip)),flip(a)]. 16095 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),16034(a,1,2,2,1,1)),flip(a)]. 16096 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(15603,a,16095,a)]. 16098 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),16096(a,1,2,2,2))]. 16099 T(T((x * y) / x,z),T(x,T(y,u)) * ((x * y) / x)) = T(T((x * y) / x,T(x,y) * y),z). [para(15866(a,1),15834(a,2,1))]. 16100 T(T((x * y) / x,z),T(x,T(y,u)) * ((x * y) / x)) = T(T((x * y) / x,y * x),z). [para(15143(a,1),16099(a,2,1))]. 16102 T(T((x * y) / x,z),T(x,T(y,u)) * ((x * y) / x)) = T(L(y,x,y),z). [para(637(a,1),16100(a,2,1))]. 16103 T(T((x * y) / x,z),T(x,T(y,u)) * ((x * y) / x)) = L(T(y,z),x,y). [hyper(198,a,40,a,b,16102,a)]. 16104 T((x * T(y,z)) / x,T(x,T(y,u)) * ((x * y) / x)) = L(T(y,z),x,y). [para(369(a,2),16103(a,1,1))]. 16105 T((x * T(y,z)) / x,K(x,T(y,u)) \ T(x * y,x)) = L(T(y,z),x,y). [hyper(198,a,15620,a,b,16104,a(flip)),flip(a)]. 16106 T((x * T(y,z)) / x,y * T(x,T(y,u))) = L(T(y,z),x,y). [hyper(198,a,15874,a(flip),b,16105,a(flip)),flip(a)]. 16107 T((x * T(y,T(x,z))) / y,x * T(y,T(x,u))) = L(T(x,K(y,z)),y,x). [para(8538(a,2),16106(a,1,1,1))]. 16108 T((x / y) * T(y,T(x,z)),x * T(y,T(x,u))) = L(T(x,K(y,z)),y,x). [para(1283(a,1),16107(a,1,1))]. 16109 T(K(x,T(y,z)) \ x,x * T(y,T(x,u))) = L(T(x,K(y,z)),y,x). [para(7335(a,1),16108(a,1,1))]. 16110 T(x \ (T(x,T(y,z)) * y),T(x,T(y,z)) * y) = L(T(y,K(x,z)),x,y). [hyper(198,a,15582,a,b,16109,a(flip)),flip(a)]. 16111 T(K(x,T(y,z)) \ x,T(y,T(x,z)) * x) = L(T(x,K(y,z)),y,x). [para(7203(a,1),16110(a,1,1))]. 16112 T(K(x,T(y,z)) \ x,T(y,x) * x) = L(T(x,K(y,z)),y,x). [hyper(198,a,15866,a(flip),b,16111,a(flip)),flip(a)]. 16114 T(K(x,T(y,z)) \ x,x * y) = L(T(x,K(y,z)),y,x). [hyper(198,a,15143,a(flip),b,16112,a(flip)),flip(a)]. 16115 K(x,T(y,z)) \ T(x,y * x) = L(T(x,K(y,z)),y,x). [hyper(198,a,15731,a,b,16114,a(flip)),flip(a)]. 16116 (T(x,y) * z) \ (x * (z * T(x,y))) = L(T(x,K(z,y)),z,x). [hyper(198,a,11480,a,b,16115,a(flip)),flip(a)]. 16117 (T(x,y) * z) \ (x * (z * T(x,y))) = L(T(x,K(y,z)),z,x). [para(7773(a,1),16116(a,2,1))]. 16118 T(x,K(T(x,y) * (z * L(z \ 1,u,w)),y)) = L(T(x,K(y,z * L(z \ 1,u,w))),z * L(z \ 1,u,w),x). [hyper(198,a,13689,a(flip),b,16117,a(flip)),flip(a)]. 16119 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(8522(a,1),16037(a,1,1))]. 16120 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(10246(a,1),15626(a,1,1))]. 16121 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6361(a,1),16120(a,1,2))]. 16122 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(15468(a,1),16121(a,1,2))]. 16123 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(198,a,12703,a(flip),b,16122,a(flip))]. 16124 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(16123(a,1),13876(a,1,1))]. 16125 L(x * T(y,z),T(y,z) \ (x \ (y * x)),x * T(y,z)) \ (y * x) = (y * x) / (x * T(y,T(z,x))). [para(13564(a,1),15766(a,1,1))]. 16126 L(x * T(y,z),T(y,z) \ T(y,x),x * T(y,z)) \ (y * x) = (y * x) / (x * T(y,T(z,x))). [para(32(a,2),16125(a,1,1,2,2))]. 16127 L(x * T(y,z),K(y,z) \ K(y,x),x * T(y,z)) \ (y * x) = (y * x) / (x * T(y,T(z,x))). [para(5361(a,2),16126(a,1,1,2))]. 16128 (x \ T(T(x,y),T(y,z))) \ (K(x,T(y,z)) * T(x,x \ y)) = L(R(x,x \ y,x),K(x,y),T(K(x,y),z)). [para(7094(a,2),15621(a,1,2,1))]. 16129 (x \ T(T(x,y),T(y,z))) \ (K(y,T(x,z)) \ T(x,x \ y)) = L(R(x,x \ y,x),K(x,y),T(K(x,y),z)). [para(7198(a,2),16128(a,1,2))]. 16130 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = (x \ T(T(x,y),T(y,z))) \ T(T(x,y / x),T(y,z)). [para(15624(a,1),16129(a,1,2)),flip(a)]. 16131 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = (x \ T(T(x,y),T(y,z))) \ T(T(x,x \ y),T(y,z)). [para(4093(a,1),16130(a,2,2,1))]. 16132 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = (x \ T(T(x,y),T(y,z))) \ T(T(x,y),x \ T(y,z)). [para(16082(a,1),16131(a,2,2))]. 16133 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(7715(a,1),15460(a,1,2))]. 16135 T((x / T(y,K(z,u))) * T(T(y,K(z,u)),K(w,v5) \ (T(y,K(z,u)) \ x)),K(w,v5)) = y * T(x / y,K(w,v5)). [para(9152(a,1),15898(a,1,1,2))]. 16136 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(7857(a,1),16133(a,1,2))]. 16137 K(x \ y,y \ (x * z)) \ K(y,K(x * z,x)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(8043(a,1),16136(a,1,2))]. 16138 K(x \ y,y \ (x * z)) \ K(x,K(z,y)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(7799(a,1),16137(a,1,2))]. 16139 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(7733(a,1),16138(a,1,2))]. 16140 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = ((x * (((x \ y) \ z) \ z)) / y) \ 1. [para(1958(a,1),16139(a,2,1,1))]. 16141 T((x * (((x \ y) \ z) \ z)) / y,K(u,w)) = 1 \ ((x * (((x \ y) \ z) \ z)) / y). [para(15399(a,1),15615(a,1,1)),flip(a)]. 16142 T((x * (((x \ y) \ z) \ z)) / y,K(u,w)) != v5 | (x * (((x \ y) \ z) \ z)) / y = v5. [para(16141(a,2),192(a,1)),flip(b)]. 16144 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(5281(a,2),15801(a,1,1,1))]. 16145 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(13(a,1),16124(a,1,1,1))]. 16146 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(13(a,1),16145(a,1,1,3)),flip(a)]. 16147 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6457(a,1),16146(a,2,2))]. 16148 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),16147(a,2,2,2))]. 16149 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5143(a,1),16148(a,2,2))]. 16150 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(198,a,8684,a(flip),b,16149,a)]. 16151 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6527,a,16150,a)]. 16152 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),16151(a,1,2))]. 16153 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(198,a,5456,a(flip),b,16152,a(flip)),flip(a)]. 16154 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(9800,a,16153,a)]. 16155 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),16154(a,2,1))]. 16156 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(198,a,11606,a(flip),b,16155,a(flip))]. 16158 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(198,a,5459,a(flip),b,16156,a(flip)),flip(a)]. 16159 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(198,a,6895,a(flip),b,16158,a(flip)),flip(a)]. 16161 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(198,a,9306,a,b,16159,a(flip)),flip(a)]. 16162 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),16159(a,1,1,2,1)),flip(a)]. 16164 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(16161(a,1),15851(a,1,1,1,2))]. 16165 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(198,a,9089,a,b,16162,a)]. 16166 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(16165(a,1),222(a,1,2))]. 16167 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(198,a,9093,a,b,16166,a(flip)),flip(a)]. 16168 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(16167(a,1),15886(a,1,1,1,2,1,2))]. 16169 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(222(a,1),16164(a,1,1,1))]. 16171 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8290(a,1),16169(a,1,1))]. 16172 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(105(a,1),16171(a,1,2,2,2))]. 16173 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(8968(a,1),16172(a,1,2))]. 16174 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3361(a,1),16173(a,1,2))]. 16175 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(198,a,11408,a(flip),b,16174,a(flip)),flip(a)]. 16176 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(198,a,10263,a(flip),b,16175,a(flip)),flip(a)]. 16177 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(133(a,1),16176(a,1,2)),flip(a)]. 16178 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(198,a,11143,a,b,16177,a(flip)),flip(a)]. 16181 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(198,a,11073,a(flip),b,16178,a(flip)),flip(a)]. 16183 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(198,a,10683,a(flip),b,16181,a(flip))]. 16184 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [hyper(198,a,9087,a(flip),b,16183,a)]. 16185 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(16183(a,1),5156(a,1,2))]. 16186 K(x \ y,y \ (x * z)) = K(x \ y,z * (y \ x)). [hyper(198,a,10866,a(flip),b,16184,a(flip)),flip(a)]. 16187 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(198,a,9092,a,b,16185,a(flip)),flip(a)]. 16188 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(16187(a,1),16168(a,1,1,1))]. 16189 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(15888,a,16188,a),flip(a)]. 16190 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(198,a,15920,a,b,16189,a)]. 16191 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(198,a,16066,a,b,16190,a(flip)),flip(a)]. 16192 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(15606,a,16191,a),flip(a)]. 16193 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(16192(a,1),16067(a,2,1))]. 16194 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(198,a,5095,a(flip),b,16193,a)]. 16195 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(16194(a,1),2555(a,1,1))]. 16196 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(198,a,2555,a(flip),b,16195,a(flip))]. 16197 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(16196(a,1),13909(a,1,1,1)),flip(a)]. 16198 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(198,a,13909,a(flip),b,16197,a)]. 16199 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(198,a,7172,a(flip),b,16198,a)]. 16200 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7577,a,16199,a)]. 16201 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(198,a,16064,a(flip),b,16200,a(flip)),flip(a)]. 16202 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(198,a,16065,a(flip),b,16201,a(flip))]. 16203 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(198,a,8257,a(flip),b,16202,a(flip)),flip(a)]. 16204 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(105(a,1),16203(a,1,2,2,1,1)),flip(a)]. 16207 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(198,a,15920,a(flip),b,16204,a(flip)),flip(a)]. 16208 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(198,a,7692,a,b,16207,a),flip(a)]. 16209 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,15982,a,b,16208,a),flip(a)]. 16210 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8115,a,16209,a)]. 16211 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(198,a,15948,a(flip),b,16209,a(flip))]. 16212 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(198,a,15946,a(flip),b,16209,a(flip))]. 16213 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(16209(a,1),15988(a,1,1))]. 16214 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(15568,a,16212,a)]. 16215 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),16214(a,1,2,2,2,2)),flip(a)]. 16216 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8424,a,16213,a),flip(a)]. 16217 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(198,a,16029,a(flip),b,16216,a(flip))]. 16218 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(60(a,1),16216(a,1,2,1,2)),flip(a)]. 16219 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(15567,a,16218,a)]. 16220 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),16217(a,2,2,2,2))]. 16221 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(198,a,15998,a,b,16220,a)]. 16222 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(16220(a,2),16000(a,1))]. 16223 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(198,a,16219,a(flip),b,16221,a(flip)),flip(a)]. 16224 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(14716(a,1),16221(a,1,2))]. 16225 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(16221(a,2),16000(a,1))]. 16227 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(198,a,16224,a(flip),b,16223,a(flip))]. 16228 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3847(a,2),16223(a,2,2,2,1))]. 16229 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(14718(a,1),16228(a,1,2))]. 16230 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(16222,a,16229,a),flip(a)]. 16231 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(198,a,16210,a(flip),b,16230,a(flip)),flip(a)]. 16232 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(16032,a,16231,a)]. 16233 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(198,a,16041,a,b,16232,a(flip)),flip(a)]. 16235 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(198,a,16039,a(flip),b,16232,a(flip))]. 16236 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(16042,a,16233,a)]. 16237 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(16003,a,16235,a)]. 16238 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(198,a,16227,a,b,16235,a(flip)),flip(a)]. 16239 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(198,a,15557,a(flip),b,16235,a(flip))]. 16240 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(198,a,15062,a,b,16237,a(flip)),flip(a)]. 16241 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(11254(a,1),16237(a,1,2))]. 16242 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(14903(a,1),16237(a,1,2,2,2,1)),flip(a)]. 16243 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(16003,a,16238,a)]. 16244 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(198,a,14890,a(flip),b,16240,a(flip)),flip(a)]. 16245 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(15735(a,1),16241(a,1,2)),flip(a)]. 16246 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(198,a,16243,a(flip),b,16242,a)]. 16248 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(198,a,16236,a(flip),b,16246,a(flip)),flip(a)]. 16249 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(16000,a,16248,a)]. 16251 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(198,a,16027,a(flip),b,16248,a(flip)),flip(a)]. 16252 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8115,a,16251,a)]. 16253 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(106(a,1),16251(a,1,2,2,2)),flip(a)]. 16254 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(198,a,16091,a(flip),b,16252,a(flip))]. 16255 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(15604,a,16254,a)]. 16257 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(198,a,14820,a,b,16254,a)]. 16258 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(16254(a,1),7713(a,1))]. 16259 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),16255(a,1,2,2,2,2))]. 16260 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(16032,a,16253,a),flip(a)]. 16261 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(16056,a,16260,a)]. 16263 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(198,a,15843,a(flip),b,16261,a(flip))]. 16264 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),16257(a,2,2))]. 16265 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(198,a,8001,a(flip),b,16245,a)]. 16266 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(198,a,16214,a(flip),b,16265,a(flip))]. 16268 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(198,a,16210,a(flip),b,16266,a)]. 16269 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(198,a,15951,a,b,16268,a(flip)),flip(a)]. 16270 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(171(a,1),16268(a,1,2,2,2))]. 16271 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(198,a,15939,a(flip),b,16270,a)]. 16273 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(198,a,16098,a(flip),b,16271,a(flip))]. 16275 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(102(a,1),16273(a,1,2,2)),flip(a)]. 16276 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(198,a,15943,a,b,16275,a(flip)),flip(a)]. 16277 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(16031,a,16276,a),flip(a)]. 16278 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(198,a,12352,a(flip),b,16276,a(flip)),flip(a)]. 16279 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(16031,a,16277,a),flip(a)]. 16280 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(198,a,15951,a,b,16279,a(flip)),flip(a)]. 16281 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(198,a,16239,a(flip),b,16279,a(flip))]. 16282 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(198,a,15987,a(flip),b,16279,a(flip))]. 16283 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(198,a,16269,a(flip),b,16281,a(flip)),flip(a)]. 16284 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(198,a,16025,a(flip),b,16282,a)]. 16285 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(198,a,12352,a(flip),b,16278,a)]. 16286 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(198,a,16249,a(flip),b,16285,a)]. 16287 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8115,a,16286,a)]. 16288 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(13952(a,1),16287(a,1,2)),flip(a)]. 16289 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(6256(a,1),16284(a,1,2,2,2))]. 16290 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(198,a,15944,a(flip),b,16289,a(flip)),flip(a)]. 16292 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(198,a,16290,a(flip),b,16283,a(flip)),flip(a)]. 16293 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(198,a,16263,a(flip),b,16292,a(flip))]. 16294 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(198,a,14831,a(flip),b,16293,a(flip)),flip(a)]. 16295 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(198,a,14744,a,b,16288,a)]. 16296 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(15565,a,16030,a),flip(a)]. 16297 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(15013(a,1),16296(a,2,2))]. 16299 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(198,a,8335,a(flip),b,16297,a)]. 16300 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(198,a,16060,a(flip),b,16299,a)]. 16301 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(16044,a,16300,a)]. 16304 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(198,a,16001,a(flip),b,16301,a(flip)),flip(a)]. 16305 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(198,a,16017,a(flip),b,16304,a(flip))]. 16306 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11755,a,16305,a)]. 16308 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(14684(a,1),16305(a,1,2,2,2))]. 16309 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(198,a,14746,a,b,16306,a)]. 16310 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(198,a,16294,a(flip),b,16308,a)]. 16311 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(16310(a,1),16119(a,1,1)),flip(a)]. 16312 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(14747,a,16309,a)]. 16313 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4947(a,1),16312(a,1,2))]. 16314 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4964(a,1),16312(a,1,2))]. 16315 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(198,a,12362,a(flip),b,16313,a(flip))]. 16316 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7715(a,2),16315(a,2,3))]. 16317 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(12360(a,1),16316(a,2,3))]. 16318 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),16317(a,1,3,2,2))]. 16319 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7715(a,1),16318(a,1,3))]. 16320 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),16319(a,2,3,2,2))]. 16321 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7715(a,1),16320(a,2,3))]. 16322 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(60(a,1),16321(a,1,2,2))]. 16323 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7715(a,2),16322(a,1,3))]. 16324 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7715(a,2),16323(a,2,3))]. 16325 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(198,a,14732,a,b,16324,a(flip)),flip(a)]. 16326 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(7733(a,1),16325(a,2,3))]. 16327 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(7732(a,1),16311(a,2,2))]. 16329 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(198,a,12660,a(flip),b,16327,a)]. 16330 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(10161(a,1),16329(a,2,1))]. 16331 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(198,a,14823,a(flip),b,16330,a)]. 16332 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(16036(a,1),16331(a,1,2))]. 16333 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(7732(a,1),16332(a,1,3))]. 16334 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11790,a,16333,a)]. 16335 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(113(a,1),16334(a,1,2,1))]. 16336 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(198,a,16295,a,b,16335,a(flip)),flip(a)]. 16337 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(198,a,16326,a(flip),b,16335,a(flip)),flip(a)]. 16338 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(198,a,14733,a,b,16337,a)]. 16339 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7715(a,1),16336(a,2,3))]. 16340 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(5655(a,1),16339(a,1,2,2,2,1))]. 16341 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(9011(a,1),15869(a,1,1)),flip(a)]. 16342 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(198,a,15683,a(flip),b,16341,a)]. 16344 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(198,a,15544,a(flip),b,16342,a),flip(a)]. 16345 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(10138(a,1),16340(a,1,2))]. 16346 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(14770(a,1),16345(a,1,2))]. 16347 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(6357(a,1),16346(a,1,2,2,1))]. 16348 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(198,a,16280,a(flip),b,16347,a(flip)),flip(a)]. 16349 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(15993,a,16348,a)]. 16351 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(7414(a,1),16349(a,2,3,2))]. 16352 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(15935(a,1),16351(a,2,3))]. 16353 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(198,a,16259,a(flip),b,16352,a(flip)),flip(a)]. 16355 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(57(a,1),16353(a,1,3,2,1))]. 16356 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(16215(a,1),16355(a,1,3))]. 16357 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7711(a,1),16356(a,1,3))]. 16358 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(16055(a,1),16357(a,1,3))]. 16359 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(198,a,14818,a(flip),b,16358,a(flip))]. 16360 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(7733(a,1),16359(a,1,3))]. 16361 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(198,a,16314,a,b,16360,a(flip)),flip(a)]. 16362 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(198,a,16338,a(flip),b,16361,a(flip))]. 16363 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7711(a,1),16362(a,2,3))]. 16364 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(16258,a,16363,a)]. 16365 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7715(a,2),16364(a,2,3))]. 16366 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(198,a,16264,a(flip),b,16365,a(flip)),flip(a)]. 16367 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8002(a,1),16366(a,1,3))]. 16368 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(7733(a,1),16367(a,2,3))]. 16369 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(198,a,16363,a(flip),b,16368,a(flip))]. 16370 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(16369(a,1),14742(a,1,1))]. 16371 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7711(a,1),16370(a,1,2))]. 16372 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(14850,a,16371,a),flip(a)]. 16373 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8417,a,16372,a)]. 16374 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(198,a,16244,a(flip),b,16373,a)]. 16375 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(623(a,1),16373(a,1,2,2)),flip(a)]. 16376 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6680(a,1),16373(a,1,2)),flip(a)]. 16377 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(16225,a,16374,a)]. 16379 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(16376(a,2),8109(a,1))]. 16380 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(198,a,15383,a,b,16375,a)]. 16381 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(198,a,16377,a(flip),b,16380,a)]. 16382 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(198,a,16211,a(flip),b,16381,a)]. 16385 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(7893(a,1),16382(a,2,2))]. 16386 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(198,a,15369,a(flip),b,16385,a)]. 16389 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(198,a,14890,a(flip),b,16386,a(flip)),flip(a)]. 16390 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(16379,a,16389,a),flip(a)]. 16394 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6832(a,1),16390(a,1,2)),flip(a)]. 16396 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(198,a,8001,a(flip),b,16394,a)]. 16399 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(11729,a,16396,a)]. 16406 K(x,K(y,z)) * (K(y,L(z,u,w)) * x) = x * K(y,L(z,u,w)). [para(16396(a,1),4891(a,1,1))]. 16410 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(16396(a,1),15506(a,1,1))]. 16412 a(x,y,K(z,K(u,w))) = 1. [hyper(34,a,16399,a)]. 16414 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [para(16399(a,1),15035(a,1,1))]. 16415 K(x,K(y,z)) \ (K(x,y) * (z * u)) = (z * K(x,y)) * L(u,z,K(x,y)). [para(16399(a,1),15071(a,1,1))]. 16416 K(x,K(y,z)) \ ((K(y,z) \ u) * (u \ x)) = L(K(z,T(y,x)),u,u \ x) * x. [para(16399(a,1),15392(a,1,1))]. 16419 a(K(x,K(y,z)),u,w) = 1. [hyper(198,a,14561,a,b,16412,a(flip)),flip(a)]. 16420 K(x,K(y,a(z,u,w))) = 1. [hyper(198,a,14744,a(flip),b,16412,a(flip)),flip(a)]. 16422 (K(x,y) * (z * K(u,w))) * 1 = (K(x,y) * z) * K(u,w). [para(16412(a,1),14786(a,1,2))]. 16426 L(x,y,K(z,K(u,w))) = x. [hyper(33,a,16419,a)]. 16433 T(x,K(y,a(z,u,w))) = x. [hyper(37,a,16420,a)]. 16435 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) * w). [hyper(482,a,16426,a),flip(a)]. 16436 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(16426(a,1),451(a,1,2))]. 16437 K(x,K(y,z)) * u != (K(x,K(y,z)) * w) * v5 | w * v5 = u. [para(16426(a,1),382(a,1,2)),flip(a)]. 16438 (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(16426(a,1),394(a,2,1))]. 16439 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(16426(a,1),393(a,1,2,2,1))]. 16440 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * (K(y,K(z,u)) * w)) * v5) = a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))). [para(16426(a,1),392(a,1,2,2))]. 16441 T(x,K(a(y,z,u),w)) = x. [hyper(15796,a,16433,a)]. 16442 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(10775,a,16433,a)]. 16444 T(x,T(y,a(z,u,w))) = T(x,y). [hyper(7584,a,16433,a)]. 16446 T(x,K(y,L(z,u,w) \ z)) = x. [para(13817(a,2),16433(a,1,2))]. 16447 T(x,a(y,z,K(u,w))) = x. [para(14556(a,2),16433(a,1,2))]. 16448 x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). [para(16433(a,1),15116(a,1,2,1,2))]. 16449 K(a(x,y,z),T(u,w)) = K(a(x,y,z),u). [hyper(10775,a,16441,a)]. 16450 (a(x,y,K(z,u)) \ w) * a(x,y,K(z,u)) = w. [hyper(2174,a,16447,a)]. 16451 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(1781,a,16447,a),flip(a)]. 16454 T(x,a(K(y,z),u,w)) = x. [para(14555(a,2),16447(a,1,2))]. 16455 (a(K(x,y),z,u) \ w) * a(K(x,y),z,u) = w. [hyper(2174,a,16454,a)]. 16457 T(a(K(x,y),z,u),w) = a(K(x,y),z,u). [hyper(35,a,16454,a)]. 16459 K(x,a(y,z,u) * w) = K(x,w * a(y,z,u)). [hyper(13065,a,16442,a),flip(a)]. 16463 K(x,T(y,a(z,u,w))) != v5 | K(x,y) = v5. [para(16442(a,1),8604(a,1))]. 16464 (a(x,y,z) \ u) * K(u / a(x,y,z),w) = T(a(x,y,z) \ u,w). [hyper(198,a,7864,a,b,16444,a(flip)),flip(a)]. 16465 x \ T(x,a(y,z,u) * w) = K(x,w * a(y,z,u)). [hyper(65,a,16444,a(flip),b,13030,a(flip))]. 16467 T(x,K(y,z * L(z \ 1,u,w))) = x. [hyper(198,a,13071,a(flip),b,16446,a(flip)),flip(a)]. 16468 K(x * (L(y,z,u) \ y),x) \ w = w * K(x,x * (L(y,z,u) \ y)). [para(16446(a,1),7958(a,1,1)),flip(a)]. 16470 T(x,K(y,z * L(z \ 1,u,w))) != v5 | v5 = x. [para(16467(a,1),7788(a,1,1))]. 16471 T(x,K(T(x,y) * (z * L(z \ 1,u,w)),y)) = L(x,z * L(z \ 1,u,w),x). [para(16467(a,1),16118(a,2,1))]. 16472 K(a(x,y,z),u * w) = K(a(x,y,z),w * u). [hyper(13065,a,16449,a)]. 16479 T(a(K(x,y),z,u) * T(w,K(v5,v6)),K(v5,v6)) = w * a(K(x,y),z,u). [para(16457(a,1),15114(a,2,2))]. 16480 T(K(x,y),a(z,u,w)) != v5 | K(x,y) = v5. [para(7094(a,1),16463(a,1))]. 16482 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [para(14576(a,1),16450(a,1,1))]. 16483 a(x,y,K(z,u)) * (w * z) = w * T(z,a(x,y,u)). [hyper(198,a,14558,a(flip),b,16451,a)]. 16485 a(K(x,y),z,u) \ (w * a(u,z,K(y,x))) = w. [hyper(14737,a,16455,a)]. 16486 a(K(x,y),z,u) \ w = w * a(K(y,x),z,u). [hyper(12914,a,16455,a),flip(a)]. 16488 1 / K(x,y * a(z,u,w)) = K(a(z,u,w) * y,x). [para(16459(a,1),5129(a,1,2))]. 16489 x / a(y,z,K(u,w)) = a(w,z,K(u,y)) * x. [hyper(77,a,16482,a)]. 16490 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(520,a,16410,a)]. 16491 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) = a(x,w,v5 * K(y,K(z,u))). [para(16410(a,2),24(a,2,1,2)),flip(a)]. 16493 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(15377(a,2),16410(a,2,2))]. 16495 K(x,K(y,z)) \ (u * w) = (K(y,K(x,z)) \ u) * w. [para(7711(a,1),16414(a,1,1))]. 16496 (K(x,K(y,z)) \ u) \ (K(x,K(y,z)) \ w) = u \ w. [para(14(a,1),16435(a,2,2))]. 16497 (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) * w). [para(7754(a,1),16435(a,1,1))]. 16498 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) \ w). [para(7754(a,2),16435(a,2,2))]. 16499 (K(x,K(y,z)) \ u) / w = K(x,K(y,z)) * (u / w). [para(7754(a,2),16436(a,1,1))]. 16500 (x \ (y * z)) * K(y,K(u,w)) = x \ (T(y,K(u,w)) * z). [para(4944(a,1),16490(a,1,2)),flip(a)]. 16501 x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). [para(16410(a,1),16490(a,1,2))]. 16502 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(7757,a,16493,a)]. 16504 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) \ w). [hyper(65,a,78,a(flip),b,16493,a)]. 16505 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. [hyper(66,a,16493,a(flip),b,16410,a(flip))]. 16507 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [hyper(198,a,16490,a(flip),b,16497,a)]. 16509 (K(x,K(y,z)) \ u) / w != v5 | K(x,K(y,z)) \ (u / w) = v5. [para(16499(a,2),7757(a,1))]. 16510 K(x,K(y,z)) \ (u * (w / x)) = u * (w / T(x,K(y,z))). [para(15584(a,1),16502(a,2,2))]. 16511 K(x,K(y,z)) \ (u * (w \ x)) = u * (w \ T(x,K(y,z))). [para(15553(a,1),16504(a,2,2))]. 16512 L(x,y,K(z,K(u,w))) = (x * (K(v5,K(v6,v7)) * v8)) / (v8 * K(v5,K(v6,v7))). [hyper(198,a,16426,a,b,16505,a),flip(a)]. 16513 (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). [para(16493(a,1),16507(a,1,1))]. 16515 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [hyper(75,a,16422,a),flip(a)]. 16516 (K(x,y) * z) * K(u,w) != v5 | K(x,y) * (z * K(u,w)) = v5. [para(16422(a,1),74(a,1)),flip(b)]. 16518 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(15054,a,16515,a)]. 16519 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11766,a,16515,a)]. 16520 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(10554,a,16515,a)]. 16521 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(y,z) * w)). [hyper(6691,a,16515,a),flip(a)]. 16522 K(x,y) \ (z * K(u,w)) = (K(x,y) \ z) * K(u,w). [hyper(543,a,16515,a)]. 16526 T(K(x,y) * (z * K(u,w)),K(u,w)) = K(u,w) * (K(x,y) * z). [para(16515(a,1),7781(a,1,1))]. 16528 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(15925,a,16518,a)]. 16530 K((L(K(x,y),z,u) \ y) / w,v5) = K(y / (w * L(K(x,y),z,u)),v5). [hyper(198,a,15110,a(flip),b,16518,a(flip)),flip(a)]. 16533 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [para(5299(a,1),16518(a,1,1))]. 16535 T(x,L(y,z,K(u,w))) = x * K(x,y). [para(16519(a,1),4924(a,2,2))]. 16536 K(x,L(y,z,L(K(u,w),v5,v6))) = K(x,y). [para(5856(a,1),16519(a,1,2,3))]. 16537 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(5299(a,1),16519(a,1,2))]. 16538 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(w,u) * z) / (K(w,u) * y)). [hyper(198,a,11802,a(flip),b,16520,a(flip))]. 16540 L(L(K(x,y),z,u),w,K(v5,v6)) = L(K(x,y),z,u). [para(16520(a,1),45(a,1,1)),flip(a)]. 16542 L(K(x,y),z,L(K(u,w),v5,v6)) = K(x,y). [para(5856(a,1),16520(a,1,3))]. 16545 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(198,a,4924,a,b,16535,a)]. 16546 T(x / L(y,z,K(u,w)),y) = L(y,z,K(u,w)) \ x. [hyper(327,a,16545,a),flip(a)]. 16548 T(x,(K(y,z) \ u) \ w) = T(x,u \ (K(y,z) * w)). [para(406(a,1),16545(a,1,2)),flip(a)]. 16549 T(x,T((K(y,z) * u) \ w,v5)) = T(x,T(u \ (K(y,z) \ w),v5)). [para(473(a,1),16545(a,1,2))]. 16550 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [para(406(a,1),16536(a,1,2)),flip(a)]. 16551 K(x,y) \ (z * L(K(u,w),v5,v6)) = (K(x,y) \ z) * L(K(u,w),v5,v6). [para(16542(a,1),15035(a,1,1))]. 16552 (K(x,y) * (z * u)) \ (K(x,y) * (z * T(u,w))) = L(K(u,w),u,z). [hyper(198,a,4932,a(flip),b,16540,a(flip)),flip(a)]. 16554 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(z,y) \ w)). [para(5281(a,2),16521(a,2,2,2))]. 16555 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(198,a,15678,a(flip),b,16533,a(flip)),flip(a)]. 16556 L(x,y,K(z,u)) \ (K(u,z) \ (y * x)) = T(K(u,z) \ y,x). [para(5934(a,1),16546(a,1,1)),flip(a)]. 16557 T(x,(K(y,z) \ u) \ w) = T(x,u \ (K(z,y) \ w)). [para(5281(a,2),16548(a,2,2,2))]. 16558 K(x,T(x \ y,z) \ (x \ u)) = K(x,y \ (K(y / x,z) \ u)). [hyper(8220,a,16554,a)]. 16559 K(x,(K(y,z) * ((K(u,w) \ v5) / K(y,z))) \ v6) = K(x,v5 \ (K(w,u) \ v6)). [hyper(198,a,15659,a,b,16554,a(flip)),flip(a)]. 16560 K(x,(y \ z) \ (K(u,y) \ w)) = K(x,(T(y,u) \ z) \ w). [para(5213(a,1),16554(a,1,2,1)),flip(a)]. 16561 K(x,(T(y,z) \ u) \ (K(y,z) \ w)) = K(x,(y \ u) \ w). [para(5244(a,1),16554(a,1,2,1)),flip(a)]. 16562 K(x,(y / z) \ (K(((z \ 1) / (y / z)) \ 1,u) \ w)) = K(x,(T(y,u) / z) \ w). [para(6132(a,1),16554(a,1,2,1)),flip(a)]. 16564 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (K(L(z,u,w),y) \ v6)). [para(11690(a,2),16554(a,1,2,1,1))]. 16565 K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). [hyper(198,a,15779,a,b,16555,a(flip)),flip(a)]. 16566 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(12635(a,2),16555(a,2,1,2)),flip(a)]. 16567 K(x,y \ (T(z,K(u,w)) * v5)) = K(x,y \ (z * v5)). [para(16500(a,1),15654(a,1,2))]. 16568 K(x,y * (z \ (T(u,K(w,v5)) * v6))) = K(x,y * (z \ (u * v6))). [para(16500(a,1),15662(a,1,2,2))]. 16569 K(x,y \ (L(T(z,K(u,w)),v5,v6) * v7)) = K(x,y \ (L(z,v5,v6) * v7)). [para(40(a,2),16567(a,1,2,2,1))]. 16570 T(T(x,K(y,z)) * (u / x),w) = x * (T(u,w) / T(x,K(y,z))). [hyper(198,a,15768,a(flip),b,16510,a(flip)),flip(a)]. 16571 K(x,K(y,z)) * u != (w * K(x,K(y,z))) * v5 | w * v5 = u. [para(15377(a,1),16437(a,2,1))]. 16572 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [hyper(16571,a,16493,a),flip(a)]. 16573 R(x,K(y,K(z,u)),w) = x. [hyper(4743,a,16572,a)]. 16574 L(x,K(y,K(z,u)),w) = x. [hyper(390,a,16572,a)]. 16575 (x / (K(y,K(z,u)) * w)) * K(y,K(z,u)) = x / w. [hyper(66,a,16,a(flip),b,16572,a),flip(a)]. 16576 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). [hyper(65,a,53,a(flip),b,16572,a)]. 16577 ((x * y) * (K(z,K(u,w)) * v5)) / ((y * K(z,K(u,w))) * v5) = R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5). [para(16573(a,1),427(a,1,1,1,2))]. 16579 (x * K(y,K(z,u))) * w != v5 | x * (K(y,K(z,u)) * w) = v5. [para(16574(a,1),217(a,1,2))]. 16580 L(K(x,K(y,z)) \ u,w * K(x,K(y,z)),v5) = (v5 * (w * K(x,K(y,z)))) \ (v5 * (w * u)). [para(16574(a,1),417(a,1,1))]. 16581 x / (K(y,K(z,u)) * w) = K(y,K(z,u)) \ (x / w). [hyper(65,a,16575,a(flip),b,15377,a),flip(a)]. 16582 K(x,K(y,z)) \ (K(y,x) \ u) = K(y,T(x,z)) \ u. [para(7748(a,1),16576(a,1,1)),flip(a)]. 16583 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [para(15505(a,2),16576(a,1,1))]. 16584 K(x,K(y,z)) \ (u / (K(x,K(y,z)) \ w)) = u / w. [para(14(a,1),16581(a,1,2)),flip(a)]. 16585 T(x,K(y,T(z,u)) \ w) = T(x,K(y,z) \ w). [para(16582(a,1),15638(a,1,2))]. 16586 K(K(x,T(y,z)) \ u,w) = K(K(x,y) \ u,w). [para(16582(a,1),15670(a,1,1))]. 16588 T(x,K(y,T(z,u)) \ w) = T(x,K(z,y) \ w). [hyper(198,a,15560,a,b,16585,a)]. 16589 K(x,K(y,z)) \ (u \ w) = u \ (K(x,K(y,z)) \ w). [hyper(198,a,16498,a(flip),b,16583,a(flip))]. 16590 (K(x,K(y,z)) \ (u * w)) \ (u * (w * v5)) = K(x,K(y,z)) \ L(v5,w,u). [para(28(a,2),16583(a,2,2))]. 16591 K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). [para(16583(a,2),15653(a,1,2))]. 16592 K(x,(y * T(z,K(u,w))) \ v5) = K(x,(y * z) \ v5). [para(15554(a,1),16591(a,1,2,1))]. 16593 K(x,T(T(y,K(z,u)) * w,v5) \ v6) = K(x,T(y * w,v5) \ v6). [para(15756(a,1),16591(a,1,2,1))]. 16594 K(x,y \ (K(z,K(u,w)) \ v5)) = K(x,y \ v5). [para(16496(a,1),16591(a,1,2)),flip(a)]. 16595 K(x,y \ (z \ T(u,K(w,v5)))) = K(x,y \ (z \ u)). [para(15553(a,1),16594(a,1,2,2))]. 16596 K(x,y \ (z * T(u,K(w,v5)))) = K(x,y \ (z * u)). [para(15554(a,1),16594(a,1,2,2))]. 16597 K(x,y \ ((z / K(u,w)) \ (v5 * (K(u,w) \ z)))) = K(x,y \ T(v5,z / K(u,w))). [para(15616(a,1),16594(a,1,2,2))]. 16598 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,y \ (K(z,u) \ v5)). [para(16582(a,1),16594(a,1,2,2))]. 16599 K(x,K(y,z)) \ (u \ K(x,y)) = u \ K(x,T(y,z)). [para(7984(a,1),16589(a,2,2))]. 16600 T(x,y \ (K(z,K(u,w)) \ v5)) = T(x,y \ v5). [para(16589(a,1),15638(a,1,2))]. 16601 T(x,y \ (T(z,K(u,w)) \ v5)) = T(x,y \ (z \ v5)). [para(5213(a,1),16600(a,1,2,2))]. 16602 T(x,y \ (T(z,T(u,w)) * v5)) = T(x,y \ (T(z,u) * v5)). [para(15864(a,1),16600(a,1,2,2)),flip(a)]. 16603 K(x,(y * (K(z,u) \ w)) \ v5) = K(x,(y * (w * K(u,z))) \ v5). [para(7950(a,1),16592(a,1,2,1,2)),flip(a)]. 16604 K(x,y \ (z * L(T(u,K(w,v5)),v6,v7))) = K(x,y \ (z * L(u,v6,v7))). [para(40(a,2),16596(a,1,2,2,2))]. 16605 K(x,y \ (z * T(u,T(w,v5)))) = K(x,y \ (z * T(u,w))). [para(7516(a,1),16596(a,1,2,2,2))]. 16606 T((x / T(y,K(z,u))) * T(T(y,K(z,u)),K(w,v5) \ (y \ x)),K(w,v5)) = y * T(x / y,K(w,v5)). [para(16601(a,1),16135(a,1,1,2))]. 16607 K(x,y \ (K(z / u,w) \ v5)) = K(x,y \ (K(u \ z,w) \ v5)). [para(7105(a,1),16598(a,1,2,2,1)),flip(a)]. 16608 K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * ((u \ w) \ w))). [para(3950(a,1),16605(a,1,2,2,2)),flip(a)]. 16609 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [hyper(150,a,16406,a(flip),b,15429,a(flip))]. 16613 T(K(x,y) * z,K(y,L(x,u,w))) = z * K(x,y). [hyper(198,a,7782,a(flip),b,16609,a)]. 16614 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [hyper(198,a,11775,a,b,16609,a(flip)),flip(a)]. 16615 T(x,K(y,z)) * K(y,L(z,u,w)) = K(y,L(z,u,w)) * x. [para(16609(a,1),7789(a,1,1))]. 16616 T(x,K(L(y,z,u),w)) = T(x,K(y,w)). [para(10655(a,1),16609(a,1,2))]. 16618 T(x / L(K(y,z),u,w),K(y,z)) = L(K(y,z),u,w) \ x. [hyper(327,a,16614,a),flip(a)]. 16620 L(K(x,y),z,u) * T(w,K(x,y)) = w * L(K(x,y),z,u). [para(16614(a,1),106(a,1,2))]. 16621 (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(16614(a,1),9876(a,1,1,1))]. 16622 x \ T(y * T(x,K(z,u)),K(L(z,w,v5),u)) = T(y,K(u,L(z,w,v5)) * x). [para(16616(a,1),15113(a,1,2,1,2))]. 16623 T(x * y,K(z,u)) * K(z,L(u,x,y)) = (K(z,u) * x) * y. [hyper(198,a,14999,a(flip),b,16615,a)]. 16624 T(x * K(L(y,z,u),w),K(w,y)) = L(K(w,y),z,u) \ x. [para(11712(a,1),16618(a,1,1))]. 16625 K(L(x,y,z),u) \ T(w,K(u,x)) = w * L(K(u,x),y,z). [hyper(11710,a,16620,a)]. 16626 K(x,y) \ (L(K(y,x),z,u) \ w) = (w * K(L(x,z,u),y)) * K(y,x). [hyper(65,a,16624,a(flip),b,5289,a)]. 16627 ((K(x,y) * z) * u) * K(L(y,z,u),x) = T(z * u,K(x,y)). [hyper(7396,a,16623,a)]. 16628 K(x,y \ ((z * u) * K(w,L(v5,z,u)))) = K(x,y \ ((K(w,v5) * z) * u)). [para(16623(a,1),16567(a,1,2,2)),flip(a)]. 16629 (K(x,y) * (z * u)) * K(L(y,z,L(u,z,K(x,y))),x) = T(z * L(u,z,K(x,y)),K(x,y)). [para(92(a,1),16627(a,1,1))]. 16630 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(16441(a,1),16448(a,1,2)),flip(a)]. 16631 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(198,a,32,a,b,16630,a)]. 16633 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(14556(a,2),16631(a,1,2,1))]. 16634 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(16451(a,1),16633(a,1,2))]. 16635 K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). [para(16633(a,1),16465(a,1,2)),flip(a)]. 16636 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(16634(a,1),13730(a,1,1,1,1))]. 16637 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(198,a,4872,a,b,16635,a)]. 16638 K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(16635(a,2),5002(a,1))]. 16639 K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). [para(81(a,1),16637(a,1,2))]. 16640 T(x,K(y,z)) / ((z * a(u,w,K(v5,v6))) * T((z * a(u,w,K(v5,v6))) \ x,y)) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(16637(a,1),10505(a,1,1,2))]. 16641 K(x,y * T(z,a(u,w,v5))) = K(x,y * z). [para(14558(a,1),16637(a,1,2))]. 16642 K(x,(K(y,z) * u) * w) = K(x,K(y,z) * (u * w)). [para(14563(a,1),16637(a,1,2))]. 16643 K(a(x,y,K(z,u)) * w,v5) = 1 / K(v5,w). [para(16637(a,1),16488(a,1,2)),flip(a)]. 16644 K(a(x,y,K(z,u)) * w,v5) = K(w,v5). [hyper(198,a,5129,a(flip),b,16643,a)]. 16646 K(x,y * (z * K(u,w * K(v5,v6)))) = K(x,K(w,u) * (y * z)). [hyper(16075,a,16639,a),flip(a)]. 16647 K(x,K(y,z) \ (u * w)) = K(x,u * (w * K(z,y))). [hyper(15500,a,16639,a)]. 16648 K(x,K(y,z) \ (u * (w / y))) = K(x,u * (w / T(y,z))). [para(7391(a,1),16647(a,2,2,2))]. 16649 K(x,K(L(y,z,u),w) \ (v5 * v6)) = K(x,v5 * (v6 * L(K(w,y),z,u))). [para(11690(a,2),16647(a,2,2,2,2))]. 16650 T(K(x,y) * T(z,K(u,w)),K(u,w)) = K(u,w) * (K(x,y) * (K(u,w) \ z)). [para(7287(a,1),16526(a,1,1,2))]. 16651 T(x,T((K(y,z) \ u) \ w,v5)) = T(x,T(u \ (K(z,y) \ w),v5)). [para(5281(a,2),16549(a,1,2,1,1))]. 16652 K(x,y * (z \ ((K(u,w) * v5) * v6))) = K(x,y * (z \ ((v5 * K(u,w)) * v6))). [para(7281(a,1),16568(a,1,2,2,2,1)),flip(a)]. 16653 K(x,T((T(y,z) \ 1) \ z,u) \ w) = K(x,T(T(y,K(v5,v6)) * (((y \ 1) \ z) / y),u) \ w). [para(10389(a,2),16593(a,2,2,1,1)),flip(a)]. 16654 K(x,T(x \ y,z) \ (x \ u)) = K(x,y \ (K(x \ y,z) \ u)). [hyper(198,a,16558,a,b,16607,a(flip)),flip(a)]. 16655 K(x,y \ (T(z,T(z,u) \ w) * u)) = K(x,y \ (u * ((T(z,u) \ w) \ w))). [para(160(a,1),16608(a,1,2,2))]. 16656 K(x,T(y,z * K(u,w)) * v5) = K(x,K(z,y) * (y * v5)). [hyper(15716,a,16646,a)]. 16657 K(x,T(y,z * K(u,w)) * v5) = K(x,y * (K(z,y) * v5)). [para(5383(a,1),16656(a,2,2))]. 16658 K(x,T(y,z * K(u,w)) * v5) = K(x,T(y,z) * v5). [hyper(198,a,15199,a(flip),b,16657,a)]. 16659 K(x,T(y,K(z,u) * w) * v5) = K(x,T(y,w) * v5). [para(7113(a,1),16658(a,1,2,1,2))]. 16660 T(x,T(y \ (K(z,u) \ w),y)) = T(x,w / (K(u,z) \ y)). [hyper(15932,a,16651,a),flip(a)]. 16661 T(x,T((K(y,z) \ u) \ (T(K(z,y),w) * v5),v6)) = T(x,T(u \ (T(K(z,y),w) * (K(z,y) \ v5)),v6)). [para(955(a,1),16651(a,2,2,1,2))]. 16662 T(x,y / (K(z,u) \ w)) != v5 | T(x,(K(u,z) \ y) / w) = v5. [para(16660(a,1),14721(a,1))]. 16663 (a(x,y,K(z,u)) * w) * K(w / a(u,y,K(z,x)),v5) = T(a(u,y,K(z,x)) \ w,v5). [para(14576(a,1),16464(a,1,1))]. 16665 (K(x,y) \ (z * u)) \ (K(y,x) * (z * T(u,w))) = L(K(u,w),u,z). [para(5281(a,2),16552(a,1,1))]. 16667 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * T(u,w))) = L(K(u,w),u,z). [para(5281(a,2),16665(a,1,2))]. 16669 L(K(x \ y,z),x \ y,x) = (K(u,w) \ y) \ (K(u,w) \ (x * T(x \ y,z))). [para(14(a,1),16667(a,1,1,2)),flip(a)]. 16670 x * K(y,y * (L(z,u,w) \ z)) = K(y * a(w,u,z),y) \ x. [para(14852(a,1),16468(a,1,1)),flip(a)]. 16671 T(x,x * (L(y,z,u) \ y)) = T(x,x * a(u,z,y)). [hyper(18,a,5252,a(flip),b,16670,a)]. 16672 T(x,L(y,z,u) \ (y * x)) = T(x,x * a(u,z,y)). [hyper(198,a,13585,a,b,16671,a(flip)),flip(a)]. 16673 K(x \ L(x,y,z),(x \ L(x,y,z)) \ u) = u \ T(u,u * a(z,y,x)). [para(16672(a,1),13869(a,2,2))]. 16674 T(a(x,y,K(z,u)) * T(w,K(v5,v6)),K(v5,v6)) = w * a(K(x,u),y,z). [para(14561(a,1),16479(a,1,1,1))]. 16676 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(198,a,7847,a(flip),b,16528,a)]. 16677 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(16676(a,2),8604(a,1))]. 16681 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(w,u) * y)). [para(5281(a,2),16538(a,2,2,1))]. 16682 K(x,(L(K(y,z),u,w) \ v5) \ (L(K(y,z),u,w) \ v6)) = K(x,v5 \ v6). [para(14(a,1),16550(a,2,2,2))]. 16683 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(6102(a,1),16550(a,1,2,1))]. 16684 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(5974(a,2),16604(a,1,2))]. 16685 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(u,w) \ y)). [para(5281(a,2),16681(a,2,2,2))]. 16686 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(198,a,15679,a(flip),b,16683,a(flip)),flip(a)]. 16687 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(16686(a,1),7385(a,1,1,2))]. 16688 K(x,K(y,z)) \ (K(y,x) \ (z * u)) = (z * K(x,y)) * L(u,z,K(x,y)). [para(5281(a,2),16415(a,1,2))]. 16690 L(x,y,K(z,K(u,w))) != v5 | v5 = x. [para(16512(a,2),255(a,1))]. 16691 K(x,y \ (z * (T(u,z) * K(w,v5)))) = K(x,y \ ((K(w,v5) * u) * z)). [para(11722(a,1),16628(a,1,2,2))]. 16692 K(x \ L(x,y,z),(x \ L(x,y,z)) \ u) = K(u,u * a(z,y,x)). [hyper(198,a,4872,a,b,16673,a)]. 16693 K(x \ L(x,y,z),L(x,y,z) \ (x * u)) = K(u,u * a(z,y,x)). [hyper(198,a,10866,a(flip),b,16692,a(flip)),flip(a)]. 16694 K(x \ L(x,y,z),L(x,y,z) \ (x * u)) = K(u,a(z,y,x)). [hyper(198,a,13962,a(flip),b,16693,a)]. 16695 (x * K(y,z)) * L(u,x,K(y,z)) = K(z,T(y,x)) \ (x * u). [hyper(198,a,16582,a(flip),b,16688,a(flip))]. 16696 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(7172(a,1),16559(a,1,2,1,2,1,1))]. 16697 T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). [para(16616(a,1),16622(a,1,2)),flip(a)]. 16698 T(x,K(y,L(z,u,w)) * v5) = T(x,K(z,y) * v5). [hyper(198,a,15123,a(flip),b,16697,a)]. 16699 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [hyper(198,a,15113,a(flip),b,16697,a)]. 16701 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(15200,a,16698,a)]. 16702 (T(x,K(y,z) * u) * K(z,L(T(y,x),w,v5))) / (K(z,L(y,w,v5)) * x) = K(x,u * K(z,L(y,w,v5))). [para(16698(a,1),15784(a,1,1,1))]. 16703 T(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y). [hyper(15406,a,16699,a)]. 16704 K(x,K(y,L(z,u,w)) * v5) = x \ T(x,K(y,z) * v5). [hyper(65,a,16699,a(flip),b,4924,a(flip)),flip(a)]. 16705 T(x,K(y,L(z,u,w)) \ v5) = T(x,K(z,y) * v5). [para(5281(a,2),16701(a,1,2))]. 16706 T(x,y * L(K(z,u),w,v5)) = T(x,K(z,u) * y). [para(6608(a,1),16703(a,1,2,2))]. 16707 T(x,L(K(y,z),u,w) \ v5) = T(x,K(z,y) * v5). [para(6608(a,1),16705(a,1,2,1))]. 16708 T(x,y * L(K(z,u),w,v5)) = T(x,K(u,z) \ y). [para(5281(a,2),16706(a,2,2))]. 16709 T(x,L(K(y,z),u,w) \ v5) = T(x,K(y,z) \ v5). [para(5281(a,2),16707(a,2,2))]. 16710 T(x,K(y,z) \ (u * w)) = T(x,u * (w * K(z,y))). [para(92(a,1),16708(a,1,2)),flip(a)]. 16711 K(L(K(x,y),z,u) \ w,v5) = v5 / T(v5,K(x,y) \ w). [para(16709(a,1),4869(a,2,2))]. 16712 T(x,K(y,z) \ (K(L(z,u,w),y) \ v5)) = T(x,v5). [para(11709(a,1),16709(a,1,2)),flip(a)]. 16713 T(x,K(y,z) \ (u * w)) = T(x,u * (K(y,z) \ w)). [hyper(198,a,15664,a,b,16710,a)]. 16714 T(x,K(y,z) \ (u * (K(z,y) \ w))) = T(x,u * w). [para(5283(a,1),16713(a,2,2,2))]. 16715 T(x,K(y,L(z,u,w)) \ (v5 * v6)) = T(x,v5 * (L(K(y,z),u,w) \ v6)). [para(11690(a,2),16713(a,2,2,2,1))]. 16716 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(16704(a,2),5002(a,1))]. 16717 K(L(K(x,y),z,u) \ w,v5) = K(K(x,y) \ w,v5). [hyper(198,a,4869,a,b,16711,a)]. 16719 K(x,y * K(z,L(u,w,v5))) != v6 | K(x,K(z,u) * y) = v6. [para(15411(a,1),16716(a,1))]. 16720 K(x,y * (z * K(u,L(w,v5,v6)))) = K(x,K(u,w) * (y * z)). [hyper(16719,a,16639,a),flip(a)]. 16721 K(x,y * K(L(z,u,w),v5)) != v6 | K(x,K(z,v5) * y) = v6. [para(10655(a,1),16719(a,1,2,2))]. 16722 K(x,y * (K(z,L(u,w,v5)) * v6)) = K(x,K(z,u) * (y * v6)). [hyper(15717,a,16720,a)]. 16723 T(x,L(K(y,z),u,w) \ (v5 * v6)) = T(x,v5 * (L(K(y,z),u,w) \ v6)). [para(11690(a,2),16715(a,1,2,1))]. 16724 T(x,y * (L(K(z,u),w,v5) \ v6)) = T(x,K(z,u) \ (y * v6)). [hyper(198,a,16709,a(flip),b,16723,a(flip))]. 16726 T(T(K(x,y) * z,K(u,w)),K(u,w)) = K(u,w) * (K(x,y) * (K(u,w) \ z)). [para(16008(a,2),16650(a,1,1))]. 16727 K(x,y * ((z * (u * K(w,v5))) \ ((K(w,v5) * z) * T(u,K(w,v5))))) = K(x,y * a(z,K(w,v5),T(u,K(w,v5)))). [para(153(a,1),16652(a,2,2,2))]. 16728 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * ((T(z,w) \ u) \ u))). [para(9107(a,1),16655(a,1,2,2,1))]. 16729 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * T(T(z,w),u))). [hyper(198,a,13668,a(flip),b,16728,a)]. 16731 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (T(z,u) * w)). [para(160(a,1),16729(a,2,2,2))]. 16732 L(K(x,(y \ z) \ (T(u,w) * v5)),y \ z,y) = K(x,z \ (y * (T(u,u \ w) * v5))). [para(16731(a,1),11702(a,1,1))]. 16733 K(x,y) * (K(z,u) * (K(x,y) \ w)) = K(z,u) * w. [hyper(7788,a,16726,a)]. 16736 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [para(13(a,1),16733(a,1,2,2))]. 16740 T(x,y) \ (x * (K(z,u) * w)) = K(z,u) * (K(y,x) * w). [hyper(5250,a,16736,a)]. 16746 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4896(a,1),16740(a,1,2))]. 16748 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(198,a,16089,a(flip),b,16746,a(flip))]. 16749 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(16008(a,2),16748(a,1,2))]. 16750 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(13009(a,1),16749(a,1,2,1))]. 16751 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(14635(a,1),16750(a,1,2))]. 16752 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5281(a,1),16751(a,1,2))]. 16753 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(8254,a,16752,a)]. 16754 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(198,a,15891,a(flip),b,16753,a(flip)),flip(a)]. 16755 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5311,a,16754,a),flip(a)]. 16756 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(16755(a,2),14812(a,2,2)),flip(a)]. 16757 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(198,a,14726,a(flip),b,16756,a(flip)),flip(a)]. 16758 L(K(x,T(y,z)),u,u \ z) * z = (K(y,x) \ u) * (u \ T(z,K(y,x))). [hyper(198,a,16511,a(flip),b,16416,a(flip))]. 16760 (K(x,y) \ z) * (z \ T(u,K(x,y))) = (u / z) * (z * K(y,x)). [hyper(198,a,11806,a(flip),b,16758,a(flip))]. 16761 a(x,(y \ T(z,K(u,w))) \ ((K(u,w) \ y) \ v5),x) = a(x,((z / y) * (y * K(w,u))) \ v5,x). [para(16760(a,1),13554(a,1,2,1)),flip(a)]. 16764 (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(198,a,11705,a(flip),b,16669,a(flip))]. 16765 (K(x,y) \ z) \ (K(x,y) \ (u * T(u \ z,w))) != v5 | K((z \ u) \ 1,w) = v5. [para(16669(a,1),6522(a,1))]. 16766 K(x,y \ ((z * K(u,w)) \ (v5 * (K(w,u) \ z)))) = K(x,y \ T(v5,z / K(w,u))). [para(7384(a,1),16597(a,1,2,2,1))]. 16767 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(7398,a,16687,a),flip(a)]. 16768 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(198,a,15829,a,b,16767,a(flip)),flip(a)]. 16769 K(x,y \ (z \ T(u * z,K(w,v5)))) = K(x,y \ T(u,z / K(v5,w))). [para(16086(a,1),16766(a,1,2,2))]. 16770 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ (u \ (z * u))). [hyper(198,a,16595,a(flip),b,16769,a(flip))]. 16772 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ T(z,u)). [para(32(a,2),16770(a,2,2,2))]. 16773 K(x,y \ T(z,K(u,w) \ v5)) = K(x,y \ T(z,v5)). [hyper(198,a,15680,a(flip),b,16772,a(flip)),flip(a)]. 16774 K(x,y \ T(z,T(u,w) \ v5)) = K(x,y \ T(z,u \ v5)). [para(5213(a,1),16773(a,1,2,2,2))]. 16775 K(x,(T(y,z) \ u) \ T(w,y \ u)) = K(x,w / (T(y,z) \ u)). [hyper(13649,a,16774,a),flip(a)]. 16776 K(x,(T(y,z) \ z) \ T(u,y \ z)) = K(x,u / (y \ T(z,y))). [para(4088(a,1),16775(a,2,2,2))]. 16777 (a(x,y,K(z,u)) * w) * K(a(x,y,K(z,u)) * w,v5) = T(a(u,y,K(z,x)) \ w,v5). [para(16489(a,1),16663(a,1,2,1))]. 16778 K(x,y \ (z * (T(u,u \ w) * v5))) = K(x,y \ (z * (T(u,w) * v5))). [hyper(198,a,11702,a(flip),b,16732,a(flip))]. 16779 K(x,y \ (z * (((u \ T(w,u)) \ w) * v5))) = K(x,y \ (z * (T(T(u,w),w) * v5))). [para(4123(a,1),16778(a,1,2,2,2,1))]. 16780 (a(x,y,K(z,u)) * w) * K(w,v5) = T(a(u,y,K(z,x)) \ w,v5). [para(16644(a,1),16777(a,1,2))]. 16781 T(a(x,y,K(z,u)) \ w,v5) = a(u,y,K(z,x)) * T(w,v5). [hyper(6337,a,16780,a),flip(a)]. 16783 T(a(x,y,K(z,u)) * w,v5) = a(x,y,K(z,u)) * T(w,v5). [para(14576(a,1),16781(a,1,1))]. 16784 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(16451(a,1),16783(a,1,1))]. 16785 T(T(a(x,y,K(z,u)) * w,K(v5,v6)),K(v5,v6)) = w * a(K(x,u),y,z). [para(16783(a,2),16674(a,1,1))]. 16786 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(16784(a,2),14735(a,1,2,2))]. 16787 T(T(x * T(y,a(z,u,w)),K(v5,v6)),K(v5,v6)) = (x * y) * a(K(z,w),u,y). [para(16483(a,1),16785(a,1,1,1))]. 16788 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(7415(a,1),16696(a,1,2,1,2))]. 16789 (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(16502(a,2),16438(a,1,1))]. 16790 L(K(x,K(y,z)) \ u,K(x,K(y,z)) \ w,v5) = (v5 * (w * K(x,K(y,z)))) \ (v5 * (w * u)). [para(15505(a,2),16580(a,1,2))]. 16791 K(x,y) * ((z * u) * K(L(y,z,L(u,z,K(x,y))),x)) = T(z * L(u,z,K(x,y)),K(x,y)). [hyper(16516,a,16629,a)]. 16792 (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(16502(a,2),16789(a,1,2))]. 16793 K(x,y) * ((z * u) * K(y,L(x,z,L(u,z,K(x,y))))) = T(z * L(u,z,K(x,y)),K(x,y)). [para(11737(a,1),16791(a,1,2,2))]. 16794 L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). [hyper(198,a,5972,a(flip),b,16792,a(flip)),flip(a)]. 16795 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). [para(7679(a,1),16794(a,1,3))]. 16796 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(16690,a,16795,a)]. 16798 L(x,K(y,K(z,u)) \ w,v5) = L(x,w,v5). [para(14(a,1),16796(a,1,2)),flip(a)]. 16800 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(7100(a,1),16796(a,1,2))]. 16801 (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(K(z,K(u,w)) \ v5,y,x). [hyper(198,a,16790,a(flip),b,16798,a(flip)),flip(a)]. 16802 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(198,a,16757,a(flip),b,16800,a(flip)),flip(a)]. 16803 (x * K(y,T(z,x))) * (K(T(z,x),y) * u) = x * L(u,K(z,y),K(y,z) * x). [para(16800(a,1),10326(a,2,2))]. 16805 L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. [para(16802(a,1),102(a,1,1))]. 16806 L(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,z)) * T(u,K(y,z)). [para(16802(a,1),10901(a,1,1))]. 16807 (x * K(y,z)) * u != w * (K(y,z) * u) | L(x,K(y,z),u) = w. [para(16805(a,1),20(a,1))]. 16809 (T(x,K(y,z)) * K(y,z)) * T(u,K(y,z)) = u * (T(x,u * K(y,z)) * K(y,z)). [hyper(198,a,824,a(flip),b,16806,a(flip))]. 16810 K(x,T((y * K(z,u)) * L(w,K(z,u),y),y * K(z,u))) = K(x,(w * K(z,u)) * T(y,K(z,u))). [para(16806(a,1),13034(a,2,2))]. 16812 (x * (K(y,K(z,u)) \ w)) \ (x * (w * v5)) = L(K(y,K(z,u)) \ v5,w,x). [para(15505(a,2),16801(a,1,1,2))]. 16813 (K(x,K(y,z)) \ (u * w)) \ (u * (w * v5)) = L(K(x,K(y,z)) \ v5,w,u). [para(16504(a,2),16812(a,1,1))]. 16814 L(K(x,K(y,z)) \ u,w,v5) = K(x,K(y,z)) \ L(u,w,v5). [hyper(198,a,16590,a(flip),b,16813,a(flip))]. 16815 K(x,K(y,z)) \ (u * L(w,v5,v6)) = u * L(K(x,K(y,z)) \ w,v5,v6). [para(16814(a,2),16504(a,2,2))]. 16816 K(x,K(y,z)) \ (u * L(K(x,y),w,v5)) = u * L(K(x,T(y,z)),w,v5). [para(7984(a,1),16815(a,2,2,1))]. 16817 (K(x,y) * z) * (K(T(y,z),x) * u) = z * L(u,K(y,x),K(x,y) * z). [para(7113(a,1),16803(a,1,1))]. 16819 (K(x,y) * z) * (K(y,T(x,z)) * u) = z * L(u,K(y,x),K(x,y) * z). [para(7172(a,1),16817(a,1,2,1))]. 16820 x * L(y,K(z,u),K(u,z) * x) = (x * K(u,z)) * (K(z,u) * y). [hyper(11393,a,16819,a),flip(a)]. 16821 x * (T(y,x * K(z,u)) * K(z,u)) = (K(z,u) * y) * T(x,K(z,u)). [para(7789(a,1),16809(a,1,1)),flip(a)]. 16822 K(x,L(y,z,u)) * (T(w,a(x,z,K(u,y))) * K(y,x)) = (K(y,x) * w) * T(K(x,L(y,z,u)),K(y,x)). [para(14565(a,1),16821(a,1,2,1,2))]. 16823 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). [para(7789(a,1),16621(a,1,1))]. 16825 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * L(K(x,T(y,z)),u,w). [para(7883(a,1),16823(a,2,2))]. 16826 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. [hyper(198,a,7115,a(flip),b,16825,a)]. 16827 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [para(14572(a,1),16826(a,1,2))]. 16828 K(x,T((T(y,z) \ 1) \ z,u) \ w) = K(x,(y * (T((y \ 1) \ z,u) / T(y,K(v5,v6)))) \ w). [para(16570(a,1),16653(a,2,2,1))]. 16829 a(x,(y \ T(z,K(u,w))) \ ((K(u,w) \ y) \ v5),x) = a(x,(y * K(w,u)) \ ((z / y) \ v5),x). [hyper(198,a,13554,a(flip),b,16761,a)]. 16830 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(15693,a,16768,a)]. 16831 a(x,(y \ T(z,K(u,w))) \ ((K(u,w) \ y) \ v5),x) = a(x,K(w,u) \ (y \ ((z / y) \ v5)),x). [hyper(198,a,13554,a(flip),b,16829,a)]. 16832 a(x,(y \ T(z,K(u,w))) \ ((K(w,u) \ y) \ v5),x) = a(x,K(u,w) \ (y \ ((z / y) \ v5)),x). [para(7773(a,1),16831(a,1,2,1,2))]. 16833 a(x,T(y,K(z,u)) \ (w * ((K(u,z) \ w) \ v5)),x) = a(x,K(z,u) \ (w \ ((y / w) \ v5)),x). [hyper(198,a,13555,a(flip),b,16832,a(flip)),flip(a)]. 16834 ((x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * v5)) * K(y,K(z,u)) = a(x,w,v5 * K(y,K(z,u))). [hyper(198,a,16501,a(flip),b,16491,a(flip)),flip(a)]. 16835 K(x,T(y * (K(z,u) * w),y * K(z,u))) = K(x,(w * K(z,u)) * T(y,K(z,u))). [para(92(a,1),16810(a,1,2,1))]. 16836 K(x,T(y * (K(z,u) * w),y)) = K(x,(w * K(z,u)) * T(y,K(z,u))). [hyper(198,a,15909,a(flip),b,16835,a(flip)),flip(a)]. 16837 K(x,(y * K(z,u)) * T(w,K(z,u))) = K(x,(K(z,u) * y) * w). [hyper(13065,a,16836,a),flip(a)]. 16839 K(x,(y * K(z,u)) * T(w,K(z,u))) = K(x,K(z,u) * (y * w)). [hyper(198,a,16642,a(flip),b,16837,a)]. 16840 K(x,(y * K(z,u)) * w) = K(x,K(z,u) * (y * w)). [hyper(15689,a,16839,a)]. 16841 K(x,K(y,z)) * K(y,x * (z * K(u,w))) = K(y,K(u,w) * (z * x)). [hyper(198,a,15954,a,b,16840,a(flip)),flip(a)]. 16842 (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(16513(a,1),16834(a,1,1))]. 16843 (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(24(a,2),16842(a,1,1,1))]. 16844 a(x,y,z) * (K(u,K(w,v5)) * K(u,K(w,v5))) = a(x,y,z * K(u,K(w,v5))). [hyper(16579,a,16843,a)]. 16845 a(x,y,z * K(u,K(w,v5))) = a(x,y,z) * 1. [para(7753(a,1),16844(a,1,2)),flip(a)]. 16846 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(198,a,12,a(flip),b,16845,a)]. 16848 a(x,y,T(z,K(u,w))) = a(x,y,z). [para(4924(a,2),16846(a,1,3))]. 16849 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [para(7101(a,1),16846(a,1,3))]. 16850 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(198,a,14562,a,b,16849,a)]. 16851 ((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(16850(a,1),15075(a,1,2))]. 16852 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(198,a,14787,a(flip),b,16851,a(flip))]. 16854 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7113(a,1),16852(a,1,1))]. 16855 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(10902(a,1),16854(a,1,2))]. 16856 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(390,a,16855,a),flip(a)]. 16858 L(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(6893,a,16856,a),flip(a)]. 16860 ((x * (y * z)) * K(z,u)) / (y * T(z,u)) = L(x,y * z,K(z,u)). [hyper(198,a,6306,a,b,16856,a(flip)),flip(a)]. 16861 L(x / y,y,K(z,u)) = (x * K(z,u)) / (y * K(z,u)). [hyper(198,a,103,a(flip),b,16856,a(flip))]. 16862 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(16856(a,1),102(a,1,1))]. 16863 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(16856(a,1),419(a,1,1))]. 16864 R(x,y,K(z,K(u,w))) != v5 | v5 = x. [para(16856(a,2),16690(a,1))]. 16865 R(x,y,T(z,K(u,w))) = R(x,y,z). [hyper(16864,a,7727,a)]. 16869 R(x,y,T(z,T(u,w))) = R(x,y,T(z,u)). [para(7516(a,1),16865(a,1,3))]. 16870 R(x,y,K(z,u) \ w) = R(x,y,w * K(u,z)). [para(7950(a,1),16865(a,1,3)),flip(a)]. 16872 R(T(x / y,y * T(z,u)),y,T(z,u)) = (y * T(z,T(u,w))) \ (x * T(z,T(u,w))). [hyper(15702,a,16869,a),flip(a)]. 16873 K(x,(y * z) * K(u,w)) \ K(x,K(L(y,z,K(u,w)),z * K(u,w))) = K((z * K(u,w)) * L(y,z,K(u,w)),x). [para(16862(a,1),13076(a,1,1,2))]. 16874 ((x * y) * z) * K(x,y) = (x * y) * (z * K(x,y)). [para(13355(a,1),16862(a,1,1)),flip(a)]. 16876 ((x * y) * (z * K(x,y))) / ((y * z) * K(x,y)) = R(R(x,y,z),y * z,K(x,y)). [para(16874(a,1),426(a,1,1))]. 16878 ((x * (T(y * z,x) / x)) * K(z,u)) / (y * T(z,u)) = L(a(x,x \ (y * z),x),y * z,K(z,u)). [para(13490(a,1),16860(a,1,1,1))]. 16879 ((x * y) * (z * K(x,y))) / (y * (z * K(x,y))) = R(R(x,y,z),y * z,K(x,y)). [para(8776(a,1),16876(a,1,2))]. 16880 R(R(x,y,z),y * z,K(x,y)) = R(x,y,z * K(x,y)). [hyper(434,a,16879,a),flip(a)]. 16881 R(R(x,y,z),y * z,K(x,y)) = R(x,y,K(y,x) \ z). [hyper(198,a,16870,a,b,16880,a)]. 16882 R(x,y,K(y,x) \ z) = R(x,y,z). [hyper(198,a,7028,a(flip),b,16881,a(flip))]. 16884 R(x,y,K(x,y) \ z) = R(x,y,z). [para(5283(a,1),16882(a,1,3)),flip(a)]. 16885 (x * T(y,T(z,u))) \ (w * T(y,T(z,u))) = (x * T(y,z)) \ (w * T(y,z)). [hyper(806,a,16872,a),flip(a)]. 16887 (x * T(y,T(z,u))) \ (z * T(y,T(z,u))) = (x * T(y,z)) \ (y * z). [para(106(a,1),16885(a,2,2))]. 16888 T(x * K(T(y,K(z,u)),K(w,v5) \ (y \ x)),K(w,v5)) = y * T(x / y,K(w,v5)). [para(6256(a,1),16606(a,1,1))]. 16890 T(x * K(y,K(z,u) \ (y \ x)),K(z,u)) = y * T(x / y,K(z,u)). [para(1360(a,1),16888(a,1,1,2,1))]. 16891 T(K(x \ (y / K(z,u)),x) \ y,K(z,u)) = x * T(y / x,K(z,u)). [para(11345(a,2),16890(a,1,1))]. 16892 T(K(x \ (y * K(z,u)),x) \ y,K(u,z)) = x * T(y / x,K(u,z)). [para(7384(a,1),16891(a,1,1,1,1,2))]. 16893 T(K(x \ (K(y,z) \ u),x) \ u,K(y,z)) = x * T(u / x,K(y,z)). [para(15684(a,2),16892(a,1,1,1))]. 16894 K(x \ (K(y,z) \ u),x) \ T(u,K(y,z)) = x * T(u / x,K(y,z)). [hyper(198,a,16009,a,b,16893,a(flip)),flip(a)]. 16895 T(x,T((K(y,z) \ u) \ (K(z,T(y,w)) * v5),v6)) = T(x,T(u \ (T(K(z,y),w) * (K(z,y) \ v5)),v6)). [para(7094(a,2),16661(a,1,2,1,2,1))]. 16896 (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(11416(a,2),16764(a,1,2,2,2))]. 16897 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(16522(a,2),16788(a,1,2,1,2))]. 16899 ((x * (T(y * z,x) / x)) * K(z,u)) / (y * T(z,u)) = a(x,x \ (y * z),x). [hyper(198,a,13469,a(flip),b,16878,a)]. 16900 T(x,T((K(y,z) \ u) \ (K(y,T(z,w)) \ v5),v6)) = T(x,T(u \ (T(K(z,y),w) * (K(z,y) \ v5)),v6)). [para(7198(a,2),16895(a,1,2,1,2))]. 16901 K((x \ y) \ 1,(y \ x) \ T(z,u)) = K(y \ x,T(x \ (y * z),u)). [hyper(16765,a,16896,a)]. 16902 K(x \ y,y \ (x * T(z,u))) = K(x \ y,T(y \ (x * z),u)). [hyper(198,a,10956,a(flip),b,16901,a(flip)),flip(a)]. 16903 T((x * (((x \ y) \ z) \ z)) / y,u) = (y * K(x \ y,y \ (x * T(z,u)))) / y. [para(16902(a,2),10984(a,2,1,2))]. 16904 T((x * (((x \ y) \ z) \ z)) / y,u) = (K((x * T(z,u)) / y,x \ y) \ y) / y. [para(7217(a,2),16903(a,2,1))]. 16905 T((x * (((x \ y) \ z) \ z)) / y,u) = K(x \ y,(x * T(z,u)) / y). [hyper(198,a,5282,a(flip),b,16904,a)]. 16907 T((x * (((x \ y) \ z) \ z)) / y,u) = K(x \ y,y \ (T(z,u) * x)). [hyper(198,a,15069,a(flip),b,16905,a)]. 16908 K(x \ y,y \ (T(z,K(u,w)) * x)) = (x * (((x \ y) \ z) \ z)) / y. [hyper(16142,a,16907,a),flip(a)]. 16909 (x * (((x \ y) \ z) \ z)) / y = K(x \ y,y \ (z * x)). [hyper(198,a,16567,a(flip),b,16908,a(flip))]. 16910 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = K(x \ y,y \ (z * x)) \ 1. [para(16909(a,1),16140(a,2,1))]. 16911 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = K(y \ (z * x),x \ y). [hyper(198,a,5124,a(flip),b,16910,a)]. 16912 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(13980(a,1),16911(a,1,1,2))]. 16913 K(x,(y * K(z,T(u,w))) \ v5) = K(x,y \ (K(z,T(u,w)) \ v5)). [para(14(a,1),16897(a,1,2,1))]. 16914 (K(x,L(y,z,u)) * T(w,K(y,x) * v5)) / (K(x,L(y,z,u)) * w) = K(w,v5 * K(x,L(y,z,u))). [para(15580(a,1),16702(a,1,1))]. 16916 K(x,T(K(y,z) * u,K(z,L(y,w,v5)))) = K(x,u * K(z,L(y,w,v5))). [hyper(8564,a,16914,a)]. 16917 K(x,y * K(z,L(u,w,v5))) = K(x,y * K(u,z)). [para(16613(a,1),16916(a,1,2)),flip(a)]. 16919 (K(x,y) * z) * T(K(y,L(x,u,w)),K(x,y)) = K(y,L(x,u,w)) * (z * K(x,y)). [para(16447(a,1),16822(a,1,2,1)),flip(a)]. 16920 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(16482(a,1),16786(a,1,2,2,1)),flip(a)]. 16921 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) != v7 | K((x \ y) \ 1,v6) = v7. [para(16920(a,2),5599(a,1))]. 16923 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(16921,a,16636,a)]. 16924 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(198,a,13730,a(flip),b,16923,a(flip))]. 16925 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(5828,a,16924,a)]. 16926 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(198,a,5704,a(flip),b,16925,a)]. 16927 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(16827(a,1),16926(a,1,1,2))]. 16928 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(198,a,16830,a(flip),b,16927,a(flip)),flip(a)]. 16930 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(198,a,16565,a(flip),b,16928,a)]. 16931 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),16930(a,2,1,2,2))]. 16932 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(198,a,16566,a,b,16931,a(flip)),flip(a)]. 16935 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(198,a,16555,a(flip),b,16932,a)]. 16936 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(5291(a,1),16935(a,2,1,2))]. 16937 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(5124(a,1),16936(a,1,1,2,1,2,1))]. 16938 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(10143(a,1),16937(a,1,1,2,1))]. 16939 K(x \ (y * a(z,u,K(w,v5))),v6) = K(x \ y,v6). [para(16451(a,1),16938(a,1,1,2))]. 16940 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(81(a,1),16939(a,1,1,2))]. 16941 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(16677,a,16940,a),flip(a)]. 16942 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(157(a,1),16941(a,1,1))]. 16943 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7579,a,16942,a)]. 16944 K(L(x,K(y,z),u),w) = K(x,w). [hyper(15430,a,16943,a)]. 16945 L(K(x,y),K(z,u),w) = K(x,y). [hyper(11751,a,16944,a)]. 16946 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(11747,a,16944,a)]. 16950 K(x / (K(y,z) \ u),w) = K((x / u) * K(y,z),w). [hyper(198,a,15063,a(flip),b,16944,a(flip)),flip(a)]. 16951 K((x * K(y,z)) \ u,w) = K(K(y,z) \ (x \ u),w). [para(196(a,1),16944(a,1,1))]. 16955 a(x,K(y,z),K(u,w)) = 1. [hyper(34,a,16945,a)]. 16957 K(x,(y / z) / K(u,w)) = K(x,y / (K(u,w) * z)). [hyper(198,a,14994,a(flip),b,16945,a(flip))]. 16959 K(x,T((y * K(z,u)) \ w,v5)) = K(x,T(K(z,u) \ (y \ w),v5)). [hyper(198,a,11703,a(flip),b,16945,a(flip)),flip(a)]. 16960 K(x,(y * K(z,u)) \ w) = K(x,K(z,u) \ (y \ w)). [hyper(198,a,11701,a(flip),b,16945,a(flip)),flip(a)]. 16963 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(16945(a,1),92(a,1,2))]. 16964 x \ (K(y,z) * (x * K(u,w))) = K(u,w) * T(K(y,z),x * K(u,w)). [para(16945(a,1),552(a,1,2,1))]. 16967 L(K(x,y),L(K(z,u),w,v5),v6) = K(x,y). [para(5856(a,1),16945(a,1,2))]. 16969 T(x,L(y,K(z,u),w)) = x * K(x,y). [para(16945(a,1),11707(a,1,2)),flip(a)]. 16971 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(5300(a,1),16946(a,1,2))]. 16973 a(x,y,K(z,u)) * T(w,K(u,x)) = K(x,L(u,y,z)) * (w * K(u,x)). [para(16946(a,1),15044(a,1,1)),flip(a)]. 16974 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(198,a,4924,a,b,16969,a)]. 16978 T(x,(y / z) / K(u,w)) = T(x,y / (K(u,w) * z)). [hyper(198,a,14982,a(flip),b,16974,a(flip))]. 16979 L(x,K(y,z),u) * T(w,x) = w * L(x,K(y,z),u). [para(16974(a,1),106(a,1,2))]. 16980 T(x,(y * K(z,u)) \ w) = T(x,K(z,u) \ (y \ w)). [para(196(a,1),16974(a,1,2))]. 16981 T(x,L(y,L(K(z,u),w,v5),v6)) = T(x,y). [para(5856(a,1),16974(a,1,2,2))]. 16982 T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * (y \ w)). [para(5300(a,1),16974(a,1,2))]. 16983 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,L(K(z,u),w,v5) \ (y \ v6)). [hyper(198,a,11701,a(flip),b,16967,a(flip)),flip(a)]. 16986 T(x,(y * L(K(z,u),w,v5)) \ v6) = T(x,L(K(z,u),w,v5) \ (y \ v6)). [para(196(a,1),16981(a,1,2))]. 16988 K(x / (K(y,z) \ u),w) = K(K(z,y) \ (x / u),w). [hyper(198,a,15457,a,b,16950,a)]. 16989 K(x / (K(y,z) \ u),w) != v5 | K(K(z,y) \ (x / u),w) = v5. [para(16950(a,2),15503(a,1))]. 16990 K(K(x,y) \ (z \ u),T(w,z)) = K(u / (K(y,x) \ z),w). [hyper(15859,a,16951,a),flip(a)]. 16991 K(x / (y * K(z,u)),T(w,K(u,z) \ y)) = K(K(z,u) \ (y \ x),w). [hyper(198,a,15540,a,b,16951,a(flip)),flip(a)]. 16992 K(K(x,x \ y) \ (y \ z),u) = K((x * (y / x)) \ z,u). [para(5156(a,1),16951(a,1,1,1)),flip(a)]. 16993 K(x,(y / z) / K(u,w)) = K(x,y / (K(w,u) \ z)). [para(5281(a,2),16957(a,2,2,2))]. 16994 K(x,K(y,T(z,u)) \ (w \ v5)) = K(x,w \ (K(y,T(z,u)) \ v5)). [hyper(198,a,16913,a(flip),b,16960,a(flip))]. 16995 K(x,K(y,z) \ ((u * y) \ w)) = K(x,(u * T(y,z)) \ w). [para(6257(a,1),16960(a,1,2,1)),flip(a)]. 16996 K(x,K(y,z) \ ((u / z) \ w)) = K(x,(u / T(z,y)) \ w). [para(7391(a,1),16960(a,1,2,1)),flip(a)]. 16997 L(x,K(y,z),K(u,w)) = x. [hyper(16807,a,16963,a)]. 17000 (x * K(y,z)) * K(u,w) = x * (K(w,u) \ K(y,z)). [para(15419(a,2),16963(a,2,2))]. 17005 (K(x,y) * K(z,u)) \ w = K(z,u) \ (K(x,y) \ w). [hyper(198,a,196,a(flip),b,16997,a(flip)),flip(a)]. 17006 (K(x,y) * (K(z,u) * w)) / w = K(x,y) * K(z,u). [para(16997(a,1),123(a,1,2))]. 17011 K(x,K(y,T(z,u)) * (u \ w)) = K(x,(K(z,y) * u) \ w). [para(7177(a,1),16971(a,1,2,1)),flip(a)]. 17012 T(x,(y / z) / K(u,w)) = T(x,y / (K(w,u) \ z)). [para(5281(a,2),16978(a,2,2,2))]. 17013 T(x,K(y,z) \ ((K(y,z) \ u) \ w)) = T(x,T(u,K(y,z)) \ w). [para(7287(a,1),16980(a,1,2,1)),flip(a)]. 17014 T(x,K(y,z) \ ((u * K(z,y)) \ w)) = T(x,u \ w). [para(7377(a,1),16980(a,1,2,1)),flip(a)]. 17015 T(x,(K(y,z) \ u) \ w) = T(x,K(y,z) * (u \ w)). [hyper(198,a,15648,a,b,16982,a(flip)),flip(a)]. 17016 T(x,K(L(y,z,u),w) * ((u * z) \ v5)) = T(x,(u * (z * K(w,y))) \ v5). [para(11699(a,1),16982(a,1,2,1)),flip(a)]. 17017 K(x,T(y,K(z,u) * (w \ v5)) * ((w * K(u,z)) \ v5)) = K(x,((w * K(u,z)) \ v5) * y). [para(16982(a,1),15146(a,1,2,1))]. 17018 K(x / (y * K(z,u)),w) = K(K(z,u) \ (x / y),w). [hyper(198,a,15687,a(flip),b,16988,a(flip)),flip(a)]. 17019 K(x,y / (K(z,u) \ w)) = K(x,K(u,z) \ (y / w)). [hyper(15497,a,16993,a),flip(a)]. 17020 K(x,y) \ (L(K(y,x),z,u) \ w) = w * (K(x,y) \ K(L(x,z,u),y)). [hyper(198,a,16626,a,b,17000,a(flip)),flip(a)]. 17022 (K(x,y) \ K(z,u)) \ w = K(z,u) \ (K(y,x) \ w). [para(5281(a,2),17005(a,1,1))]. 17024 (K(x,y) * (K(z,u) \ w)) / w = K(x,y) * K(u,z). [para(5281(a,2),17006(a,1,1,2))]. 17025 T(x,y / (K(z,u) \ w)) = T(x,K(u,z) \ (y / w)). [hyper(198,a,15404,a(flip),b,17012,a(flip))]. 17026 T(x,K(y,z) \ L(K(u * K(z,y),w),u,K(z,y))) = T(x,(w * u) \ ((u * K(z,y)) * R(w,u,K(z,y)))). [para(14993(a,1),17014(a,1,2,2))]. 17027 T(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)). [hyper(198,a,16548,a(flip),b,17015,a(flip)),flip(a)]. 17028 T(x,(K(y,z) * u) \ w) = T(x,K(z,y) * (u \ w)). [para(5281(a,1),17015(a,1,2,1))]. 17029 K(x / (y * L(K(z,u),w,v5)),v6) = K(K(z,L(u,w,v5)) \ (x / y),v6). [para(11690(a,2),17018(a,1,1,2,2))]. 17030 K(x,T(y \ z,K(u,w) \ y)) = K(x,K(w,u) \ ((K(u,w) \ z) / y)). [hyper(198,a,16685,a,b,17019,a(flip)),flip(a)]. 17031 K(x,K(y \ 1,z * y) \ (u / z)) = K(x,u / ((y \ 1) * (z / (1 / y)))). [hyper(198,a,10135,a(flip),b,17019,a(flip))]. 17032 K(x,T(x * y,z)) \ (K(x,x * y) \ (K(x * y,T(x,z)) \ T(x,y))) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [hyper(198,a,12437,a(flip),b,17022,a(flip))]. 17033 (L(K(x,y),z,u) \ K(w,v5)) \ v6 = K(w,v5) \ (K(L(y,z,u),x) \ v6). [para(11690(a,2),17022(a,1,1,1))]. 17034 (x \ T(T(x,y),T(y,z))) \ u = K(x,T(y,z)) \ (K(x,y) \ u). [para(15586(a,1),17022(a,1,1))]. 17035 (L(K(x,y),z,u) \ K(w,v5)) \ v6 = K(L(y,z,u),x) \ (K(w,v5) \ v6). [para(15559(a,2),17022(a,1,1))]. 17036 (K(x,y) \ (K(z,u) \ w)) / w = K(y,x) * K(u,z). [para(5281(a,2),17024(a,1,1))]. 17037 T(x,(K(y,z) \ u) / w) = T(x,K(y,z) \ (u / w)). [hyper(16662,a,17025,a)]. 17038 T(x,K(T(y,z),u) \ (T(y,u) / w)) = T(x,y / w). [hyper(198,a,15762,a(flip),b,17025,a(flip))]. 17039 K(x,T(y,K(z,u) * (w \ v5)) * ((w * K(u,z)) \ v5)) = K(x,((K(u,z) * w) \ v5) * y). [para(17028(a,1),15786(a,1,2,1))]. 17040 (K(x,y) \ (K(z,u) \ w)) / w = K(x,y) \ K(u,z). [hyper(198,a,5281,a,b,17036,a)]. 17041 T(x,K(y,z) \ ((T(z,y) \ u) / w)) = T(x,(z \ u) / w). [para(5244(a,1),17037(a,1,2,1)),flip(a)]. 17042 T(x,T(T(y,z),z) / u) = T(x,y / u). [hyper(198,a,15564,a(flip),b,17038,a(flip)),flip(a)]. 17043 T(x,T(y \ z,y) / u) = T(x,(z / y) / u). [para(108(a,1),17042(a,1,2,1,1))]. 17044 T(x,T(T(y,z) \ u,y) / w) = T(x,(u / T(y,z)) / w). [hyper(198,a,15646,a(flip),b,17043,a(flip)),flip(a)]. 17045 K(x,y) \ (K(z,u) \ w) = (K(x,y) \ K(u,z)) * w. [para(17040(a,1),16(a,1,1)),flip(a)]. 17047 K(x,y) \ (K(z,u) \ w) = (K(z,u) \ K(y,x)) * w. [para(15527(a,1),17045(a,2,1))]. 17048 K(x,y) \ (K(z,u) \ w) = K(z,u) \ (K(x,y) \ w). [hyper(198,a,17045,a,b,17047,a)]. 17049 K(x,T(y,z)) \ (K(y,x) \ u) = K(x,K(y,z)) \ u. [hyper(198,a,8387,a(flip),b,17048,a)]. 17050 K(x,y) \ (K(z,u) \ y) = K(z,u) \ T(y,x). [para(4887(a,2),17048(a,1,2)),flip(a)]. 17051 K(x,y) \ (K(z,u) \ T(w,K(x,y))) = K(z,u) \ (w * K(y,x)). [para(7784(a,1),17048(a,1,2)),flip(a)]. 17053 K(K(x,y) \ (x \ z),u) = K((y * (x / y)) \ z,u). [hyper(198,a,15790,a(flip),b,16992,a(flip)),flip(a)]. 17054 K((x * (y / x)) \ z,u) = K(T(y,x) \ z,u). [para(5213(a,1),17053(a,1,1)),flip(a)]. 17056 K(((x \ y) * x) \ z,u) = K(T(y,x) \ z,u). [hyper(198,a,15190,a,b,17054,a(flip)),flip(a)]. 17057 K(T(x * y,y) \ z,u) = K((y * x) \ z,u). [para(15(a,1),17054(a,1,1,1,2)),flip(a)]. 17058 K(T(x * y,x) \ z,u) = K((y * x) \ z,u). [para(13(a,1),17056(a,1,1,1,1)),flip(a)]. 17059 K((x * y) \ ((y * T(x,K(y,z))) * u),w) = K(K(y * T(x,K(y,z)),x) \ u,w). [hyper(15705,a,17057,a),flip(a)]. 17060 K((x * y) \ ((y * T(x,K(y,z))) * u),w) = K(K(y * T(x,K(y,z)),y) \ u,w). [hyper(15704,a,17058,a),flip(a)]. 17062 K(x,K(y,z) \ ((u * z) \ w)) = K(x,(u * T(z,y)) \ w). [hyper(15598,a,16995,a)]. 17063 K(x,(y / T(z,z \ u)) \ w) = K(x,K(u,z) \ ((y / z) \ w)). [hyper(198,a,13643,a(flip),b,16996,a(flip))]. 17064 K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(z,y)). [hyper(198,a,15695,a(flip),b,17011,a(flip))]. 17066 K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). [hyper(198,a,16537,a(flip),b,17064,a(flip)),flip(a)]. 17067 K(x,K(y,(z \ u) * K(w,v5))) * K(y,x * (z \ (u * K(w,v5)))) = K(y,(z \ (K(w,v5) * u)) * x). [para(17066(a,1),15785(a,1,1,2))]. 17068 K(K(x,y) \ (z \ u),T(w,z)) != v5 | K(K(x,y) \ (u / z),w) = v5. [para(16990(a,2),16989(a,1))]. 17069 L(K(x,T(K(y,z) \ (u \ w),v5)),K(z,y) \ T(u,K(z,y)),K(z,y)) = K(x,T(T(u,K(z,y)) \ (K(z,y) * w),v5)). [para(16959(a,1),11831(a,1,1))]. 17070 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(u,z) \ (y \ v5)). [hyper(15715,a,16994,a),flip(a)]. 17071 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(z,u) \ (y \ v5)). [hyper(15713,a,16994,a),flip(a)]. 17073 K(x,y \ (K(z,T(u,w)) \ v5)) != v6 | K(x,K(u,z) \ (y \ v5)) = v6. [para(16994(a,1),15715(a,1))]. 17075 K(x,(y * z) \ (K(z,T(u,w)) \ v5)) = K(x,(y * T(z,u)) \ v5). [hyper(198,a,17062,a(flip),b,17070,a)]. 17076 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,y) \ w)). [hyper(198,a,16598,a(flip),b,17070,a(flip))]. 17077 K(x,K(y,z) \ (u \ (T(y,w) * v5))) = K(x,u \ (T(T(y,w),z) * v5)). [para(5229(a,1),17070(a,1,2,2)),flip(a)]. 17078 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(y,z) \ w)). [hyper(15598,a,17076,a)]. 17079 K(x,K(y,z) \ ((T(z,y) \ u) \ w)) = K(x,(z \ u) \ w). [hyper(198,a,16561,a(flip),b,17076,a)]. 17080 K(x,K(y,z) \ ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). [hyper(198,a,16560,a(flip),b,17076,a)]. 17081 K(x,y \ (K(z \ 1,u) \ w)) = K(x,K(u,z) \ (y \ w)). [hyper(198,a,15164,a(flip),b,17076,a(flip))]. 17082 K(x,y \ (K(z,u) \ (y * w))) = K(x,K(u,z) \ w). [para(13(a,1),17076(a,1,2,2)),flip(a)]. 17083 K(x,K(y,z) \ (u \ (y * w))) = K(x,u \ (T(y,z) * w)). [para(5229(a,1),17076(a,2,2,2))]. 17085 K(x,K(y,z) \ (u \ (T(y,z) * w))) = K(x,u \ (y * w)). [para(4946(a,1),17078(a,2,2,2))]. 17086 K(x,K(y,z) \ (u \ (z * w))) = K(x,u \ (T(z,y) * w)). [para(5229(a,1),17078(a,2,2,2))]. 17088 K(x,T(x \ y,z) \ (x \ (y * u))) = K(x,K(z,x \ y) \ u). [hyper(198,a,16654,a,b,17082,a(flip)),flip(a)]. 17089 K(x,K(y,z) \ ((T(z,u) \ w) \ v5)) = K(x,(T(T(z,u),y) \ w) \ v5). [hyper(198,a,16560,a(flip),b,17071,a(flip))]. 17090 K(x,(T(y,z) \ 1) \ u) = K(x,T(y \ 1,z) \ u). [hyper(198,a,15230,a(flip),b,17080,a(flip))]. 17091 K(x,(T(y,z) \ 1) \ x) = K(x,T(y * x,z)). [hyper(198,a,14815,a(flip),b,17090,a)]. 17092 K(x,T(y * x,z)) = K(x,x * T(y,z)). [hyper(9320,a,17091,a),flip(a)]. 17093 K(x,K(y,(z \ 1) / (u / z)) \ ((u / z) \ w)) = K(x,(T(u,y) / z) \ w). [hyper(198,a,16562,a(flip),b,17081,a(flip))]. 17095 K(x,((y * z) / u) \ (T(y,w) * z)) = K(x,K(w,y) \ u). [para(60(a,1),17086(a,1,2,2)),flip(a)]. 17096 T(x,K(y,z) \ ((K(y,z) \ u) \ w)) = T(x,u \ w). [hyper(198,a,15639,a(flip),b,17013,a)]. 17098 T(x,K(y,z) \ K(K(y,z) \ u,w)) = T(x,u \ T(K(y,z) \ u,w)). [para(4872(a,2),17096(a,1,2,2))]. 17099 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = K(x,T(y,z)) \ (K(x,y) \ T(T(x,y),x \ T(y,z))). [hyper(198,a,16132,a,b,17034,a(flip)),flip(a)]. 17100 K(x \ (K(y,z) \ u),x) \ (u * K(z,y)) = K(y,z) \ (x * T(u / x,K(y,z))). [para(16894(a,1),17051(a,1,2)),flip(a)]. 17101 K(x,(y / T(z,z \ u)) \ w) = K(x,(y / T(z,u)) \ w). [hyper(198,a,16996,a(flip),b,17063,a)]. 17102 K(x,(y / ((z \ u) \ u)) \ w) = K(x,(y / T(z,u)) \ w). [para(107(a,1),17101(a,1,2,1,2))]. 17103 K(x,(y / T(z,y)) \ u) = K(x,(z \ y) \ u). [para(176(a,1),17101(a,1,2,1)),flip(a)]. 17104 K(x,(y / T(T(z,y),u)) \ w) = K(x,(T(z,u) \ y) \ w). [para(38(a,1),17103(a,1,2,1,2))]. 17105 K(x,(T(y,y \ z) \ u) \ w) = K(x,(u / ((T(y,u) \ z) \ z)) \ w). [para(8134(a,1),17103(a,1,2,1,2)),flip(a)]. 17106 K(x,T(y,z) \ (K(z,T(u,w)) \ v5)) = K(x,((z \ y) * T(z,u)) \ v5). [hyper(198,a,13642,a(flip),b,17075,a(flip)),flip(a)]. 17107 x \ (K(y,z) \ (x * K(u,w))) = K(u,w) * T(K(z,y),x * K(u,w)). [para(5281(a,2),16964(a,1,2))]. 17108 a(x,y,K(z,u)) * T(w,K(x,u)) = K(x,L(u,y,z)) * (w * K(u,x)). [para(7773(a,1),16973(a,1,2))]. 17110 T(x,(y * L(K(z,u),w,v5)) \ v6) = T(x,K(z,u) \ (y \ v6)). [hyper(198,a,16709,a(flip),b,16986,a)]. 17112 K(x / (K(y,z) \ u),T(w,K(y,z) \ u)) = K(K(z,y) \ (u \ x),w). [hyper(15719,a,16991,a)]. 17113 K(x,y) \ (L(K(y,x),z,u) \ w) = w * a(K(x,y),z,u). [para(15749(a,1),17020(a,2,2))]. 17114 K(x,y) \ (L(K(y,x),z,u) \ w) = a(K(y,x),z,u) \ w. [hyper(198,a,16486,a,b,17113,a)]. 17115 a(K(x * y,x),z,u) \ T(x,y) = R(T(x,L(x * y,z,u)),y,x). [hyper(198,a,11886,a(flip),b,17114,a(flip))]. 17116 R(T(x,L(x * y,z,u)),y,x) = a(K(y,x),z,u) \ T(x,y). [para(13405(a,1),17115(a,1,1)),flip(a)]. 17117 R(T(x,L(x * y,z,u)),y,x) = T(x,L(y,z,u)). [hyper(198,a,14736,a(flip),b,17116,a)]. 17118 L(K(x,x * y),z,u) \ T(x,L(y,z,u)) = R(x,y,x). [para(17117(a,1),11734(a,1,2))]. 17119 L(K(x,x * (y / (z / ((u \ 1) \ 1)))),u \ z,u) \ T(x,(y * u) / z) = R(x,y / (z / ((u \ 1) \ 1)),x). [para(15106(a,1),17118(a,1,2))]. 17120 K(x / (y * L(K(z,u),w,v5)),v6) = K(L(K(z,u),w,v5) \ (x / y),v6). [para(11690(a,2),17029(a,2,1,1))]. 17121 K(x,T(y \ z,y)) = K(x,K(u,w) \ ((K(w,u) \ z) / y)). [hyper(198,a,15910,a(flip),b,17030,a(flip)),flip(a)]. 17122 K(x,K(y,z) \ ((K(z,y) \ u) / w)) = K(x,u / w). [hyper(8605,a,17121,a),flip(a)]. 17124 K(x,K(y,z) \ ((y * z) / u)) = K(x,(z * y) / u). [para(5054(a,1),17122(a,1,2,2,1))]. 17125 K(x,(K(y,z) \ u) / w) = K(x,K(y,z) \ (u / w)). [para(5283(a,1),17122(a,1,2,2,1)),flip(a)]. 17126 K(x,K(y,z) \ ((z * u) / w)) = K(x,(T(z,y) * u) / w). [para(4946(a,1),17122(a,1,2,2,1))]. 17127 K(x,K(y,z) \ ((z * y) / u)) = K(x,(y * z) / u). [hyper(15598,a,17124,a)]. 17128 K(x,K(y \ z,y) \ (z / u)) = K(x,(y * (z / y)) / u). [para(5324(a,1),17125(a,1,2,1)),flip(a)]. 17129 K(x,(T(y,z) * z) / u) = K(x,(z * y) / u). [hyper(198,a,17127,a(flip),b,17126,a(flip))]. 17130 K(x,((y \ z) * y) / u) = K(x,(y * (z / y)) / u). [para(108(a,1),17129(a,1,2,1,1))]. 17131 K(x,(y * ((y * z) / y)) / u) = K(x,(z * y) / u). [para(144(a,1),17129(a,1,2,1,1)),flip(a)]. 17132 T(x,(y * ((y * z) / y)) / u) = x * K(x,(z * y) / u). [para(17131(a,1),4924(a,2,2))]. 17133 K(x,K(y,z) \ (y / u)) = K(x,(z * (y / z)) / u). [hyper(198,a,13643,a(flip),b,17128,a(flip)),flip(a)]. 17134 K(x,(y * (z / y)) / u) = K(x,T(z,y) / u). [hyper(198,a,15140,a(flip),b,17133,a(flip))]. 17135 K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). [hyper(198,a,17130,a,b,17134,a(flip)),flip(a)]. 17136 K((x * y) \ z,T(u,y)) = (((w \ v5) \ v5) * K(u,T(z,x) / (y * x))) \ T(w,w \ v5). [para(17135(a,1),15050(a,2,1,2))]. 17137 T(x,(y * ((y * z) / y)) / u) = T(x,(z * y) / u). [hyper(198,a,4924,a,b,17132,a)]. 17138 T(x,(T(y,z) * z) / u) = T(x,(z * y) / u). [para(145(a,1),17137(a,1,2,1,2)),flip(a)]. 17139 T(x,(y * z) / T(y,u)) = T(x,K(y,u) \ T(z,y)). [hyper(198,a,15541,a(flip),b,17138,a(flip))]. 17140 T(x,(y * z) / T(y,u)) = T(x,y \ (z * T(y,u))). [hyper(198,a,15562,a(flip),b,17139,a)]. 17141 T(x,y \ ((y \ z) * T(y,u))) = T(x,z / T(y,u)). [para(14(a,1),17140(a,1,2,1)),flip(a)]. 17142 K(x,x * (y \ ((y \ z) * T(y,u)))) \ T(x,z / T(y,u)) = R(x,y \ ((y \ z) * T(y,u)),x). [para(17141(a,1),5422(a,1,2))]. 17143 T(x,(L(K(y,z),u,w) \ K(y,z)) \ v5) = T(x,v5). [para(17033(a,2),16712(a,1,2))]. 17144 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [para(11720(a,1),17143(a,1,2))]. 17145 T(x,T(y,(z \ u) \ w)) = T(x,T(y,u \ (z * w))). [para(406(a,1),17144(a,1,2,2)),flip(a)]. 17146 T(x,L(y \ z,y,u / z) \ u) = T(x,T((u / z) * y,y \ z)). [para(671(a,1),17144(a,1,2))]. 17147 T(x,T(y / T(z * u,K(w,v5)),(z \ K(w,v5)) \ u)) = T(x,(z * u) \ T(y,K(w,v5))). [para(15122(a,1),17145(a,2,2))]. 17148 T(x,T((y / (z * L(K(u,w),v5,v6))) * K(u,K(w,v7)),K(u,K(w,v7)) \ (z * L(K(u,w),v5,v6)))) = T(x,L(z * L(K(u,T(w,v7)),v5,v6),K(u,K(w,v7)),y / (z * L(K(u,w),v5,v6))) \ y). [para(16816(a,1),17146(a,1,2,1,1)),flip(a)]. 17149 (L(K(x,y),z,u) \ K(w,v5)) \ v6 = L(K(y,x),z,u) \ (K(w,v5) \ v6). [para(11736(a,2),17035(a,2,1))]. 17150 K(x,y \ (T(T(z,u),u) * w)) = K(x,y \ (z * w)). [hyper(198,a,17085,a(flip),b,17077,a(flip))]. 17151 K(x,y \ (T(T(z,u),u) * T(w,z))) = K(x,y \ (w * z)). [para(106(a,1),17150(a,2,2,2))]. 17152 K(x,y \ (((z * u) / z) * w)) = K(x,y \ (T(u,z) * w)). [para(144(a,1),17150(a,1,2,2,1,1)),flip(a)]. 17153 L(K(x,(y \ z) \ (u * w)),y \ z,y) = K(x,z \ (y * (T(T(u,v5),v5) * w))). [para(17150(a,1),11702(a,1,1))]. 17154 K(x,y \ (z * T(T(u,w),w))) = K(x,y \ (z * u)). [para(8024(a,1),17151(a,1,2,2))]. 17155 K(x,y \ (z * T(u \ w,u))) = K(x,y \ (z * (w / u))). [para(108(a,1),17154(a,1,2,2,2,1))]. 17156 K(x,(T(T(y,z),z) \ u) \ w) = K(x,(y \ u) \ w). [hyper(198,a,17079,a(flip),b,17089,a(flip))]. 17157 K(x,(T(y,y \ z) \ u) \ w) = K(x,((z / (z / y)) \ u) \ w). [para(4141(a,1),17156(a,1,2,1,1,1))]. 17158 K(x,(T(y,y \ z) \ u) \ w) = K(x,(u / T(T(y,u),z)) \ w). [hyper(198,a,17102,a(flip),b,17105,a)]. 17159 K(x,(T(y,y \ z) \ u) \ w) = K(x,(T(y,z) \ u) \ w). [hyper(198,a,17104,a(flip),b,17158,a)]. 17160 K(x,((y / (y / z)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(198,a,17157,a(flip),b,17159,a(flip)),flip(a)]. 17161 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [para(60(a,1),17160(a,1,2,1)),flip(a)]. 17162 K(x,(y / z) \ T(u,z \ y)) = K(x,u / (z \ T(y,z))). [hyper(198,a,16776,a(flip),b,17161,a(flip))]. 17163 K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). [hyper(15723,a,17162,a),flip(a)]. 17164 K(x,y / (T(z,u) \ u)) = K(x,y / (u / z)). [para(4088(a,2),17163(a,1,2,2))]. 17165 K(T(x,y),T(z,y) / (y / x)) = K(T(x,y),y \ (z * T(x,y))). [hyper(198,a,15189,a(flip),b,17164,a(flip))]. 17166 K(T(x,y),y \ (z * T(x,y))) = K(x,T(T(z,y) / (y / x),y)). [hyper(7577,a,17165,a),flip(a)]. 17167 K(T(x,y),y \ (z * T(x,y))) = K(x,T(T(z,y) / (x \ y),y)). [hyper(198,a,9592,a(flip),b,17166,a)]. 17168 K(T(x,y),y \ (z * T(x,y))) = K(x,y \ (x * T(z,y))). [hyper(198,a,9912,a(flip),b,17167,a)]. 17169 K(x,(y * T(x,z)) / z) = K(x,z \ (x * T(y,z))). [hyper(8617,a,17168,a)]. 17170 K(x,y \ (x * T(z,y))) = K(x,z / (x \ y)). [hyper(198,a,9517,a(flip),b,17169,a(flip))]. 17172 K(x,(y / T(z,u)) \ (x * T(w,y / ((z \ u) \ u)))) = K(x,w / (x \ (y / ((z \ u) \ u)))). [hyper(198,a,17102,a(flip),b,17170,a(flip)),flip(a)]. 17174 K(x,((y \ z) * T(y,u)) \ w) != v5 | K(x,K(u,y) \ (T(z,y) \ w)) = v5. [para(17106(a,1),17073(a,1))]. 17175 x \ (K(y,z) \ (x * K(u,w))) = K(u,w) * T(K(z,y),K(w,u) \ x). [para(15443(a,2),17107(a,2,2))]. 17176 T(a(x,y,K(z,u)) * w,K(x,u)) = K(x,L(u,y,z)) * (w * K(u,x)). [hyper(198,a,16783,a,b,17108,a(flip)),flip(a)]. 17177 K((K(x,y) \ z) \ u,w) = K(K(y,x) \ (z \ u),w). [hyper(8603,a,17112,a)]. 17178 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(198,a,16144,a(flip),b,17177,a(flip))]. 17179 K(x / (y * L(K(z,u),w,v5)),v6) = K(K(z,u) \ (x / y),v6). [hyper(198,a,16717,a(flip),b,17120,a)]. 17181 K((L(K(x,y),z,u) \ y) / w,v5) = K(K(x,y) \ (y / w),v5). [hyper(198,a,16530,a,b,17179,a(flip)),flip(a)]. 17183 K((L(K(x,y),z,u) \ y) / w,v5) = K(T(y,x) / w,v5). [hyper(198,a,14695,a(flip),b,17181,a)]. 17184 K(T(x,L(y,z,u)) / w,v5) = K(T(x,y) / w,v5). [para(11743(a,1),17183(a,1,1,1))]. 17185 L(K(x,y),z,u) \ (K(y,x) \ w) = a(K(x,y),z,u) \ w. [para(14600(a,1),17149(a,1,1)),flip(a)]. 17186 a(K(x,y),z,u) \ (K(x,y) \ w) = L(K(x,y),z,u) \ w. [para(5283(a,1),17185(a,1,2)),flip(a)]. 17187 T(x,K(y,z) \ (u * (K(z,y) \ w))) = T(x,u * (a(K(y,z),v5,v6) \ w)). [para(17185(a,1),16724(a,1,2,2)),flip(a)]. 17188 x \ (K(y,z) \ (x * K(u,w))) = K(u,w) * K(z,T(y,K(w,u) \ x)). [hyper(198,a,7108,a,b,17175,a)]. 17189 (K(x,y) * z) * T(K(y,L(x,u,w)),K(x,y)) = T(a(y,u,K(w,x)) * z,K(y,x)). [hyper(198,a,16919,a,b,17176,a),flip(a)]. 17190 K(x,y) \ K(z,T(u,K(x,y) \ w)) = w \ (K(u,z) \ (w * K(y,x))). [hyper(198,a,5281,a,b,17188,a),flip(a)]. 17191 x \ (K(y,z) \ (x * K(u,w))) = K(w,u) \ K(z,T(y,x)). [para(15910(a,1),17190(a,1,2)),flip(a)]. 17192 K(x,y) \ K(z,T(u,x * y)) = (x * y) \ (K(u,z) \ (y * x)). [para(84(a,1),17191(a,1,2,2)),flip(a)]. 17194 K(x,y) \ K(z,T(u,y \ x)) = (x * y) \ (K(u,z) \ (y * x)). [para(15350(a,2),17192(a,1,2))]. 17195 K(x,y) \ (y * K(z,T(u,y \ x))) = y * ((x * y) \ (K(u,z) \ (y * x))). [para(17194(a,1),5534(a,2,2))]. 17196 K(x,y) \ (K(T(z,y \ x),u) \ w) = ((x * y) \ (K(z,u) \ (y * x))) * w. [para(17194(a,1),17045(a,2,1))]. 17197 T(x,(y * (z * K(u,w))) \ v5) = T(x,K(w,u) * ((y * z) \ v5)). [hyper(198,a,16701,a(flip),b,17016,a(flip))]. 17199 T(x,y * (a(K(z,u),w,v5) \ v6)) = T(x,y * v6). [hyper(198,a,16714,a(flip),b,17187,a(flip))]. 17201 K(x,K(y,z) \ (u / y)) = K(x,u / ((z \ 1) * (y / (1 / z)))). [hyper(198,a,15168,a(flip),b,17031,a(flip)),flip(a)]. 17202 K(x,y / ((z \ 1) * (u / (1 / z)))) = K(x,y / T(u,z)). [hyper(198,a,15533,a(flip),b,17201,a(flip))]. 17203 K(x,y / T(z,u \ 1)) = K(x,y / T(z,u)). [hyper(198,a,15739,a(flip),b,17202,a(flip)),flip(a)]. 17204 K(x,(1 / y) / T(z,y)) = K(x,z \ (1 / y)). [hyper(198,a,15724,a(flip),b,17203,a(flip))]. 17205 K(x,(1 / y) / (z / y)) = K(x,(y \ z) \ (1 / y)). [hyper(198,a,15195,a(flip),b,17204,a(flip)),flip(a)]. 17206 K(x,(y \ 1) / (z / y)) = K(x,(y \ z) \ (1 / y)). [hyper(198,a,5674,a(flip),b,17205,a(flip)),flip(a)]. 17207 K(x,(y \ 1) / (z / y)) = K(x,(y \ z) \ (y \ 1)). [hyper(198,a,5677,a(flip),b,17206,a)]. 17208 K(x,K(y,(z \ u) \ (z \ 1)) \ ((u / z) \ w)) = K(x,(T(u,y) / z) \ w). [para(17207(a,1),17093(a,1,2,1))]. 17209 K(x,y) \ (K(z,T(u,y \ x)) \ w) = ((x * y) \ (K(z,u) \ (y * x))) * w. [para(7172(a,1),17196(a,1,2,1))]. 17210 K(x,K(y,z * (z \ u)) \ ((u / z) \ w)) = K(x,(T(u,y) / z) \ w). [hyper(198,a,15167,a(flip),b,17208,a(flip)),flip(a)]. 17211 K(x,K(y,z) \ ((z / u) \ w)) = K(x,(T(z,y) / u) \ w). [para(14(a,1),17210(a,1,2,1,2))]. 17212 K(x,K(y,z) \ ((y / u) \ w)) = K(x,(T(y,z) / u) \ w). [hyper(15598,a,17211,a)]. 17213 ((x * y) \ (K(z,u) \ (y * x))) * y = K(z,T(u,y \ x)) \ T(y,x). [hyper(198,a,17050,a(flip),b,17209,a(flip))]. 17214 K(x,y \ (z * (T(T(u,w),w) * v5))) = K(x,y \ (z * (u * v5))). [hyper(198,a,11702,a(flip),b,17153,a(flip))]. 17215 K(x,y \ (z * (((u \ T(w,u)) \ w) * v5))) = K(x,y \ (z * (u * v5))). [hyper(198,a,16779,a,b,17214,a(flip)),flip(a)]. 17217 K((x * y) \ ((y * T(x,K(y,z))) * u),w) = K(K(y * x,x) \ u,w). [para(9197(a,1),17059(a,2,1,1))]. 17219 K(K(x * T(y,K(x,z)),x) \ u,w) = K(K(x * y,y) \ u,w). [hyper(198,a,17217,a(flip),b,17060,a(flip))]. 17221 K(K(x * T(y,K(x,z)),x) \ u,w) = K(K(y,x) \ u,w). [hyper(198,a,15791,a(flip),b,17219,a)]. 17222 K(K(x * y,x) \ z,u) = K(K(y,x) \ z,u). [para(1958(a,1),17221(a,1,1,1,1,2))]. 17223 K(K(x,x * y) \ z,u) = K(K(y,x) \ z,u). [hyper(15632,a,17222,a)]. 17225 K(K(x * y,y \ 1) \ z,u) = K(K(y \ 1,x) \ z,u). [para(11664(a,1),17223(a,1,1,1)),flip(a)]. 17226 K(K(x \ 1,y) \ z,u) = K(K(x * y,y) \ z,u). [hyper(13672,a,17225,a),flip(a)]. 17227 K(K(x \ 1,y) \ z,u) = K(K(y,x) \ z,u). [hyper(198,a,15791,a(flip),b,17226,a)]. 17228 K(K(x,y) \ (z / u),w) \ K((K(y \ 1,x) \ (z / u)) * w,w) = a(w,u \ (K(y \ 1,x) \ z),w). [para(17227(a,1),13573(a,1,1))]. 17229 K(x,y) \ (z * T(u / z,K(x,y))) = z * ((u * K(y,x)) / z). [hyper(198,a,15725,a(flip),b,17100,a(flip))]. 17230 K(x,T(y,z \ u)) \ (z * (u / z)) = z * ((u * K(y,x)) / z). [hyper(198,a,15750,a,b,17229,a(flip)),flip(a)]. 17231 T(a(x,y,K(z,u)) * w,K(x,u)) = (K(u,x) * w) * K(x,L(u,y,z)). [para(1801(a,1),17189(a,1,2)),flip(a)]. 17232 T(a(x,y,K(z,u)) * w,K(x,u)) = K(u,x) * (w * K(x,L(u,y,z))). [hyper(198,a,16515,a(flip),b,17231,a)]. 17235 T(a(x,y,K(L(z,y,K(u,x)),u)) * (y * z),K(x,u)) = T(y * L(z,y,K(u,x)),K(u,x)). [hyper(198,a,16793,a(flip),b,17232,a)]. 17236 K(x,((K(y,z) * u) \ w) * v5) = K(x,((u * K(y,z)) \ w) * v5). [hyper(198,a,17017,a(flip),b,17039,a(flip))]. 17237 K(x,((K(y,L(z,u,w)) * (w * u)) \ v5) * v6) = K(x,((w * (u * K(y,z))) \ v5) * v6). [para(11699(a,1),17236(a,2,2,1,1))]. 17238 K(x,(((K(y,z) * u) * T(w,u)) \ v5) * v6) = K(x,((w * (u * K(y,z))) \ v5) * v6). [para(15001(a,1),17237(a,1,2,1,1))]. 17239 K((x * y) \ z,T(u,y)) = K(T(z,x) / (y * x),u). [hyper(198,a,7386,a(flip),b,17136,a)]. 17240 K(T(x,y) / (L(z,u,w) * y),z) = K((y * L(z,u,w)) \ x,z). [para(236(a,1),17239(a,1,2)),flip(a)]. 17241 T(x,T(y / T(L(K(z,u),w,v5) * v6,K(v7,v8)),(L(K(z,u),w,v5) \ K(v7,v8)) \ v6)) = T(x,(K(L(u,w,v5),z) \ v6) \ T(y,K(v7,v8))). [para(11708(a,2),17147(a,2,2,1))]. 17242 T(a(x,y,K(z,u)) * (y * z),K(x,u)) = T(y * L(z,y,K(u,x)),K(u,x)). [para(16518(a,1),17235(a,1,1,1,3))]. 17243 T(x * L(y,x,K(z,u)),K(z,u)) = T(x * T(y,a(u,x,z)),K(u,z)). [para(16483(a,1),17242(a,1,1)),flip(a)]. 17245 T(x * L(y,x,K(z,u)),K(u,z)) = T(x * T(y,a(u,x,z)),K(u,z)). [hyper(7794,a,17243,a)]. 17246 T(T(x * L(y,x,K(z,u)),K(u,z)),K(u,z)) = (x * y) * a(K(u,z),x,y). [para(17245(a,2),16787(a,1,1))]. 17247 (x * y) * a(K(z,u),x,y) = x * L(y,x,K(u,z)). [hyper(7788,a,17246,a)]. 17249 (x * y) * a(z,x,K(y,u)) = x * L(y,x,K(u,z)). [para(14561(a,1),17247(a,1,2))]. 17250 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(14559,a,17249,a),flip(a)]. 17251 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(198,a,14603,a,b,17250,a),flip(a)]. 17253 L(K(x,y),z,K(u,w)) != v5 | K(x,y) = v5. [para(17250(a,2),16480(a,1))]. 17254 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(17250(a,2),16641(a,1,2,2))]. 17256 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(198,a,14571,a,b,17251,a(flip)),flip(a)]. 17257 L(K(x,y),z,L(K(u,w),v5,v6)) != v7 | K(x,y) = v7. [para(5856(a,1),17253(a,1,3))]. 17258 K(x,L(y \ z,u,K(w,v5)) \ 1) != v6 | K(x,z \ y) = v6. [para(6471(a,2),17253(a,1))]. 17259 K(L(x,y,K(z,u)),w) != v5 | K(x,w) = v5. [para(6605(a,1),17253(a,1))]. 17262 K((x * K(y,z)) / (u * K(y,z)),w) != v5 | K(x / u,w) = v5. [para(15014(a,1),17259(a,1))]. 17263 K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * (w \ (K(u,z) * v5))). [para(5299(a,1),17254(a,1,2,2))]. 17264 K(x,((K(y,z) * u) * w) \ (K(y,L(z,u,w)) * v5)) != v6 | K(x,(u * w) \ v5) = v6. [para(15023(a,1),17258(a,1))]. 17267 K(x,y * ((z * u) \ (K(L(w,z,u),v5) * v6))) = K(x,y * (((K(v5,w) * z) * u) \ v6)). [para(14999(a,1),17263(a,1,2,2,1)),flip(a)]. 17268 K(x,y * ((K(K(z,u),w) * v5) \ (v6 * u))) = K(x,y * (v5 \ (v6 * T(u,K(w,z))))). [para(15577(a,1),17263(a,2,2,2,2))]. 17269 K(x,(((K(y,z) * u) * w) \ v5) * K(y,L(z,u,w))) = K(x,(u * w) \ v5). [hyper(17264,a,17066,a),flip(a)]. 17270 K(x,(((K(y,z) * u) * w) \ v5) * K(z,y)) = K(x,(u * w) \ v5). [hyper(198,a,16917,a(flip),b,17269,a(flip)),flip(a)]. 17272 K(x,y * ((K(z,K(u,w)) * v5) \ (v6 * u))) = K(x,y * (v5 \ (v6 * T(u,K(w,z))))). [para(7679(a,1),17268(a,1,2,2,1,1))]. 17273 K(x,y * ((z \ (u * w)) * K(v5,K(w,v6)))) = K(x,y * (z \ (u * T(w,K(v6,v5))))). [para(16507(a,1),17272(a,1,2,2))]. 17274 K(x,y * (z \ (u * T(w,K(v5,v6))))) = K(x,y * (z \ (u * w))). [hyper(15770,a,17273,a),flip(a)]. 17276 K(x,y * ((z * (u * K(w,v5))) \ ((K(w,v5) * z) * u))) = K(x,y * a(z,K(w,v5),T(u,K(w,v5)))). [hyper(198,a,16727,a(flip),b,17274,a(flip))]. 17277 K(x,y * ((z * u) \ (K(w,L(v5,z,u)) * v6))) = K(x,y * (((K(v5,w) * z) * u) \ v6)). [para(11737(a,1),17267(a,1,2,2,2,1))]. 17278 K(x,T(y,(z * u) \ (K(w,L(v5,z,u)) * v6)) * (((K(v5,w) * z) * u) \ v6)) = K(x,((z * u) \ (K(w,L(v5,z,u)) * v6)) * y). [hyper(198,a,15146,a(flip),b,17277,a(flip))]. 17279 K(x,(y / T(z,u)) \ (x * T(w,y / T(z,u)))) = K(x,w / (x \ (y / ((z \ u) \ u)))). [para(13543(a,1),17172(a,1,2,2,2))]. 17280 K(x,y / (x \ (z / ((u \ w) \ w)))) = K(x,y / (x \ (z / T(u,w)))). [hyper(198,a,17170,a(flip),b,17279,a(flip))]. 17281 K(x,((y / ((z \ u) \ u)) / w) \ x) = K(x,w / (x \ (y / T(z,u)))). [hyper(8728,a,17280,a)]. 17282 K(x,((y / ((z \ u) \ u)) / w) \ x) = K(x,((y / T(z,u)) / w) \ x). [hyper(198,a,8726,a(flip),b,17281,a)]. 17284 K(x,y * ((z * (u * K(w,v5))) \ ((K(w,v5) * z) * u))) = K(x,y * a(z,K(w,v5),u)). [para(16848(a,1),17276(a,2,2,2))]. 17285 K(x,T(y,(z * (u * K(w,v5))) \ ((K(w,v5) * z) * u)) * a(z,K(w,v5),u)) = K(x,((z * (u * K(w,v5))) \ ((K(w,v5) * z) * u)) * y). [hyper(198,a,15146,a(flip),b,17284,a(flip))]. 17287 K(x,K(y,z \ u)) * K(y,x * (z \ (u * K(w,v5)))) = K(y,(z \ (K(w,v5) * u)) * x). [para(15935(a,1),17067(a,1,1))]. 17289 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = K(x,T(y,z)) \ T(x,T(x \ T(y,z),y)). [para(7334(a,1),17099(a,2,2))]. 17290 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = K(x,T(y,z)) \ T(x,x \ T(T(y,z),y)). [para(11416(a,2),17289(a,2,2))]. 17291 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = K(x,T(y,z)) \ T(x,x \ T(y,z)). [para(117(a,1),17290(a,2,2,2,2))]. 17292 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = R(x,x \ T(y,z),x). [hyper(198,a,5437,a(flip),b,17291,a)]. 17293 L(R(x,x \ y,x),K(x,y),K(x,T(y,z))) = R(x,x \ T(y,z),x). [para(7094(a,2),17292(a,1,3))]. 17294 R(x,x \ T(y,z),x) = R(x,x \ y,x). [hyper(198,a,16997,a(flip),b,17293,a(flip))]. 17296 a(x,x \ T(y,z),x) = x \ R(x,x \ y,x). [hyper(65,a,17294,a(flip),b,8669,a),flip(a)]. 17297 a(x,x \ T(y,z),x) = a(x,x \ y,x). [hyper(198,a,8663,a(flip),b,17296,a)]. 17298 a(x,x \ (y * z),x) = a(x,x \ (z * y),x). [hyper(198,a,13763,a(flip),b,17297,a(flip))]. 17299 a(x,x \ (y / z),x) = a(x,x \ (z \ y),x). [para(108(a,1),17297(a,1,2,2)),flip(a)]. 17300 a(x,x \ (y / ((z / x) * u)),x) = a(x,x \ (((x \ z) * u) \ y),x). [hyper(198,a,13852,a,b,17299,a(flip)),flip(a)]. 17301 a(x,x \ (y / ((z / x) * u)),x) = a(x,x \ (u \ ((x \ z) \ y)),x). [hyper(198,a,13612,a(flip),b,17300,a)]. 17302 a(x,x \ (((y / x) * z) \ u),x) = a(x,x \ (z \ ((x \ y) \ u)),x). [hyper(198,a,17299,a(flip),b,17301,a(flip)),flip(a)]. 17303 a(x,x \ (y \ ((z / x) \ u)),x) = a(x,x \ (y \ ((x \ z) \ u)),x). [hyper(198,a,13612,a(flip),b,17302,a(flip)),flip(a)]. 17304 K(x / T(y,z),u) \ K((K(y \ 1,z) \ (x / y)) * u,u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(15631(a,1),17228(a,1,1))]. 17305 K(x / T(y,z),u) \ K(u * (K(y \ 1,z) \ (x / y)),u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(5818(a,1),17304(a,1,2))]. 17306 K(x / T(y,z),u) \ K(K(y \ 1,z) \ (u * (x / y)),u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(11015(a,2),17305(a,1,2))]. 17307 K(x / T(y,z),u) \ K(K(z,y) \ (u * (x / y)),u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(17227(a,1),17306(a,1,2))]. 17308 T(x,K(y,z) \ L(K(K(y,z) \ u,w),u,K(z,y))) = T(x,(w * u) \ ((u * K(z,y)) * R(w,u,K(z,y)))). [para(15457(a,2),17026(a,1,2,2,1))]. 17309 T(x,(y * z) \ ((z * K(u,w)) * R(y,z,K(u,w)))) = T(x,K(w,u) \ K(K(w,u) \ z,y)). [para(16520(a,1),17308(a,1,2,2)),flip(a)]. 17311 T(x,(y * z) \ ((z * K(u,w)) * L(y,z,K(u,w)))) = T(x,K(w,u) \ K(K(w,u) \ z,y)). [para(16856(a,1),17309(a,1,2,2,2))]. 17312 T(x,K(y,z) \ K(K(y,z) \ u,w)) = T(x,(w * u) \ (K(y,T(z,u)) \ (u * w))). [para(16695(a,1),17311(a,1,2,2)),flip(a)]. 17313 (K(x,K(y,z)) \ (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7754(a,2),16439(a,1,1))]. 17314 (K(x,K(y,z)) \ ((u * w) * v5)) / ((w * K(x,K(y,z))) * v5) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(16502(a,2),16577(a,1,1))]. 17315 K(x,K(y,z) \ (u * w)) \ K(x,K(L(u,w,K(z,y)),w * K(z,y))) = K((w * K(z,y)) * L(u,w,K(z,y)),x). [para(15424(a,2),16873(a,1,1))]. 17316 L(K(x,((y / ((z \ 1) \ 1)) / u) \ x),z \ y,z) \ T(x,(u * z) / y) = R(x,u / (y / ((z \ 1) \ 1)),x). [para(13373(a,2),17119(a,1,1,1))]. 17317 (K(x,K(y,z)) \ (u * w)) \ ((K(K(y,z),x) \ u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(5281(a,2),17313(a,1,2,1))]. 17318 (K(x,K(y,z)) \ ((u * w) * v5)) / ((K(x,K(y,z)) \ w) * v5) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(15505(a,2),17314(a,1,2,1))]. 17319 K(x,K(y,z) \ (u * w)) \ K(x,K(L(u,w,K(z,y)),K(y,z) \ w)) = K((w * K(z,y)) * L(u,w,K(z,y)),x). [para(15424(a,2),17315(a,1,2,2))]. 17320 L(K(x,((y / T(z,1)) / u) \ x),z \ y,z) \ T(x,(u * z) / y) = R(x,u / (y / ((z \ 1) \ 1)),x). [para(17282(a,1),17316(a,1,1,1))]. 17321 L(K(x,((y / z) / u) \ x),z \ y,z) \ T(x,(u * z) / y) = R(x,u / (y / ((z \ 1) \ 1)),x). [para(130(a,1),17320(a,1,1,1,2,1,1,2))]. 17322 K(x,((x * y) * z) / u) \ T(x,(y * z) / u) = R(x,y / (u / ((z \ 1) \ 1)),x). [para(15049(a,1),17321(a,1,1))]. 17323 (K(x,K(y,z)) \ (u * w)) \ ((K(y,K(x,z)) \ u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7731(a,1),17317(a,1,2,1,1))]. 17324 (K(x,K(y,z)) \ ((u * w) * v5)) / (K(x,K(y,z)) \ (w * v5)) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(16414(a,2),17318(a,1,2))]. 17325 K(x,K(y,z) \ (u * w)) \ K(x,K(u,K(y,z) \ w)) = K((w * K(z,y)) * L(u,w,K(z,y)),x). [para(16518(a,1),17319(a,1,2,2))]. 17326 K((x * K(y,z)) * L(u,x,K(y,z)),w) = K(w,K(z,y) \ (u * x)) \ K(w,K(u,x)). [para(15938(a,1),17325(a,1,2)),flip(a)]. 17329 K(x,K(y,z) \ (u * w)) \ K(x,K(u,w)) = K(K(y,T(z,w)) \ (w * u),x). [para(16695(a,1),17326(a,1,1)),flip(a)]. 17330 K(x,K(y,z) \ (u * w)) \ K(x,K(u,w)) = K(K(y,z) \ (w * u),x). [hyper(198,a,16586,a(flip),b,17329,a)]. 17332 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(16495(a,2),17323(a,1,2))]. 17333 K(x,K(y,z)) \ (((u * w) * v5) / (K(x,K(y,z)) \ (w * v5))) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [hyper(16509,a,17324,a)]. 17334 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = (z * y) \ (z * (y * x)). [hyper(198,a,16496,a(flip),b,17332,a(flip))]. 17336 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x,y,z). [hyper(198,a,28,a,b,17334,a)]. 17337 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [para(16426(a,1),17336(a,1,2))]. 17338 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(7100(a,1),17337(a,1,3))]. 17339 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [para(8376(a,1),17337(a,1,3))]. 17341 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,(x * (y \ u)) \ (x * u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(198,a,11081,a(flip),b,17339,a(flip))]. 17342 R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = ((x * y) * v5) / (y * v5). [hyper(198,a,16584,a(flip),b,17333,a(flip))]. 17344 R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = R(x,y,v5). [hyper(198,a,30,a,b,17342,a)]. 17345 R(x,y,K(z,K(u,w)) * v5) = R(x,y,v5). [para(16573(a,1),17344(a,1,2))]. 17346 R(x,y,K(z,K(u,w)) \ v5) = R(x,y,v5). [para(14(a,1),17345(a,1,3)),flip(a)]. 17348 R(x,y,z \ K(u,T(w,v5))) = R(x,y,z \ K(u,w)). [para(16599(a,1),17346(a,1,3))]. 17349 R(x,y,(z * u) \ (K(w,v5) \ (u * z))) = R(x,y,K(z,u) \ K(v5,w)). [para(17192(a,1),17348(a,1,3))]. 17350 R(x,y,K(x,y) \ K(z,u)) \ (K(u,z) \ (y * x)) = y * ((x * y) \ (K(u,z) \ (y * x))). [para(17349(a,1),421(a,1,1))]. 17351 R(x,y,K(z,u)) \ (K(u,z) \ (y * x)) = y * ((x * y) \ (K(u,z) \ (y * x))). [para(16884(a,1),17350(a,1,1))]. 17352 L(x,y,K(z,u)) \ (K(u,z) \ (y * x)) = y * ((x * y) \ (K(u,z) \ (y * x))). [para(16856(a,1),17351(a,1,1))]. 17353 x * ((y * x) \ (K(z,u) \ (x * y))) = T(K(z,u) \ x,y). [hyper(198,a,16556,a(flip),b,17352,a(flip))]. 17354 (x * y) \ (K(z,u) \ (y * x)) = y \ T(K(z,u) \ y,x). [hyper(65,a,16556,a(flip),b,17352,a(flip)),flip(a)]. 17355 K(x,y) \ (y * K(z,T(u,y \ x))) = T(K(u,z) \ y,x). [hyper(198,a,17195,a,b,17353,a(flip)),flip(a)]. 17356 K(x,T(y,z \ u)) \ T(z,u) = (z \ T(K(x,y) \ z,u)) * z. [para(17354(a,1),17213(a,1,1)),flip(a)]. 17357 T(x,y) * K(z,T(u,x \ y)) = T(K(u,z) \ x,y). [hyper(5254,a,17355,a)]. 17358 T(x,y) * K(z,T(u,y \ x)) = T(K(u,z) \ x,y). [para(8093(a,1),17357(a,1,2))]. 17359 K(x,K(y,z) \ T(u,w)) = K(x,T(K(y,z) \ u,w)). [para(17357(a,1),15696(a,1,2)),flip(a)]. 17360 T(K(x,T(y,z \ u)) \ u,z) = T(u,z) * K(y,x). [para(7819(a,1),17358(a,1,2)),flip(a)]. 17361 K(x,K(y,z) \ T(y \ u,w)) = K(x,T(T(y,z) \ u,w)). [para(5213(a,1),17359(a,2,2,1))]. 17362 T(K(x,T(y,(((z / u) \ 1) * z) \ z)) \ (u * (z / u)),((u \ z) \ 1) * z) = T(u * (z / u),((u \ z) \ 1) * z) * K(y,x). [para(13441(a,1),17360(a,1,1,1,2,2))]. 17364 K(x,T(T(y,K(z,u)) \ w,v5)) != v6 | K(x,T(y \ w,v5)) = v6. [para(17361(a,1),15690(a,1))]. 17365 K(x,T(T(y,K(z,u)) \ (K(z,u) * w),v5)) = K(x,T(K(u,z) \ (y \ w),v5)). [hyper(17253,a,17069,a),flip(a)]. 17367 K(x,T(T(y,K(z,u)) \ (K(u,z) * w),v5)) = K(x,T(K(z,u) \ (y \ w),v5)). [para(7773(a,1),17365(a,1,2,1,1))]. 17368 K(x,T(T(y,K(z,u)) \ (K(z,u) \ w),v5)) = K(x,T(K(z,u) \ (y \ w),v5)). [para(5281(a,2),17367(a,1,2,1,2))]. 17369 K(x,T(K(y,z) \ (u \ w),v5)) = K(x,T(u \ (K(y,z) \ w),v5)). [hyper(17364,a,17368,a),flip(a)]. 17371 K(x,K(y,z) \ T(u \ w,v5)) = K(x,T(u \ (K(y,z) \ w),v5)). [hyper(198,a,17359,a,b,17369,a(flip)),flip(a)]. 17372 x * K(x,K(y,z) \ T(u \ w,v5)) = T(x,T(u \ (K(y,z) \ w),v5)). [para(17371(a,2),4924(a,2,2)),flip(a)]. 17373 T(x,K(y,z) \ T(u \ w,v5)) = T(x,T(u \ (K(y,z) \ w),v5)). [hyper(4927,a,17372,a)]. 17374 T(x,T(y \ (K(z,u) \ w),v5)) != v6 | T(x,K(z,u) \ T(y \ w,v5)) = v6. [para(17372(a,1),4927(a,1))]. 17375 T(x,K(y,T(z,u)) \ T((K(y,z) \ w) \ v5,v6)) = T(x,T(w \ (T(K(z,y),u) * (K(z,y) \ v5)),v6)). [hyper(198,a,16900,a(flip),b,17373,a)]. 17376 T(x,T(y \ (T(K(z,u),w) * (K(z,u) \ v5)),v6)) = T(x,K(z,u) \ T((K(u,z) \ y) \ v5,v6)). [hyper(198,a,16588,a(flip),b,17375,a(flip))]. 17378 T(x,T(y \ (K(z,T(u,w)) * (K(z,u) \ v5)),v6)) = T(x,K(z,u) \ T((K(u,z) \ y) \ v5,v6)). [para(6489(a,1),17376(a,1,2,1,2,1))]. 17379 T(x,T(y \ (K(z,T(u,w)) \ (K(u,z) \ v5)),v6)) = T(x,K(u,z) \ T((K(z,u) \ y) \ v5,v6)). [para(7198(a,2),17378(a,1,2,1,2))]. 17380 T(x,T(y \ (K(z,K(u,w)) \ v5),v6)) = T(x,K(u,z) \ T((K(z,u) \ y) \ v5,v6)). [para(17049(a,1),17379(a,1,2,1,2))]. 17381 T(x,K(y,K(z,u)) \ T(w \ v5,v6)) = T(x,K(z,y) \ T((K(y,z) \ w) \ v5,v6)). [hyper(17374,a,17380,a)]. 17382 T(x,K(y,z) \ T((K(z,y) \ u) \ w,v5)) = T(x,T(u \ w,v5)). [hyper(198,a,15638,a(flip),b,17381,a(flip))]. 17384 T(x,K(y,z) \ T(u,w)) = T(x,T(K(z,y) \ u,w)). [para(114(a,1),17382(a,1,2,2,1))]. 17385 T(x,K(y,z) \ T(u,w)) = T(x,T(K(y,z) \ u,w)). [hyper(198,a,15560,a,b,17384,a(flip)),flip(a)]. 17386 T(T(x,K(y,z) \ T(x,u)),x \ T(K(y,z) \ x,u)) = (x \ T(x * K(z,y),u)) \ T(K(y,z) \ x,u). [para(17385(a,2),13728(a,1,1))]. 17387 T(T(x,K(y,z) \ x),x \ T(K(y,z) \ x,u)) = (x \ T(x * K(z,y),u)) \ T(K(y,z) \ x,u). [para(9450(a,1),17386(a,1,1))]. 17389 (x \ T(x * K(y,z),u)) \ T(K(z,y) \ x,u) = T(T(x,K(z,y)),x \ T(K(z,y) \ x,u)). [para(13740(a,1),17387(a,1,1)),flip(a)]. 17390 (K(x,K(y,z)) \ (u * (w * v5))) \ ((u * (K(x,K(y,z)) * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(16502(a,2),16440(a,1,1))]. 17391 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(17068,a,17178,a),flip(a)]. 17392 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(198,a,16586,a(flip),b,17391,a)]. 17393 K(K(x,y) \ (T(y,T(z,u)) / w),v5) = K(T(T(y,x),T(z,u)) / w,v5). [hyper(17262,a,17392,a),flip(a)]. 17396 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(198,a,16344,a(flip),b,17393,a(flip))]. 17397 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(15718,a,17396,a)]. 17398 K(T(T(x,y \ 1),z) / y,u) = K(T(x,T(z,w)) / y,T(u,x)). [hyper(198,a,15875,a(flip),b,17397,a)]. 17400 K(x \ T(y,T(z,u)),w) = K(T(T(y,x \ 1),z) / x,w). [hyper(198,a,15465,a(flip),b,17398,a),flip(a)]. 17401 K(T(T(x,y \ 1),z) / y,u) = K(y \ T(x,z),u). [para(105(a,1),17400(a,1,1,2,2)),flip(a)]. 17402 K(x \ T(y,L(z,u,w)),v5) = K(T(T(y,x \ 1),z) / x,v5). [hyper(198,a,17184,a(flip),b,17401,a(flip))]. 17403 K(x \ T(y,L(z,u,w)),v5) = K(x \ T(y,z),v5). [hyper(198,a,17401,a(flip),b,17402,a)]. 17404 K(x \ T(L(y,z,u) \ w,y),v5) = K(x \ (w / L(y,z,u)),v5). [hyper(198,a,15275,a(flip),b,17403,a(flip))]. 17405 K(x \ (y / L(z,u,w)),z) = K(x \ (L(z,u,w) \ y),z). [hyper(9227,a,17404,a),flip(a)]. 17406 K((x * L(y,z,u)) \ w,y) = K(x \ (L(y,z,u) \ w),y). [hyper(15084,a,17405,a)]. 17407 K(T(x,y) / (L(z,u,w) * y),z) = K(y \ (L(z,u,w) \ x),z). [hyper(198,a,17240,a,b,17406,a(flip)),flip(a)]. 17408 K(x \ (L(y,z,u) \ w),y) = K(y \ (T(w,x) / x),y). [hyper(198,a,11680,a(flip),b,17407,a(flip))]. 17410 (K(x,K(y,z)) \ (u * (w * v5))) \ ((K(x,K(y,z)) \ (u * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(16502(a,2),17390(a,1,2,1))]. 17411 (K(x,K(y,z)) \ (u * (w * v5))) \ (K(x,K(y,z)) \ ((u * w) * v5)) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(16414(a,2),17410(a,1,2))]. 17412 a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = (x * (w * v5)) \ ((x * w) * v5). [hyper(198,a,16496,a(flip),b,17411,a(flip))]. 17414 a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = a(x,w,v5). [hyper(198,a,24,a,b,17412,a)]. 17415 a(x,K(K(y,z),u) \ w,L(v5,w,K(u,K(y,z)))) = a(x,w,v5). [para(5281(a,2),17414(a,1,2))]. 17416 a(x,K(y,K(z,u)) \ w,L(v5,w,K(u,K(y,z)))) = a(x,w,v5). [para(7679(a,1),17415(a,1,2,1))]. 17417 a(x,K(y,K(z,u)) \ w,v5) = a(x,w,v5). [para(16426(a,1),17416(a,1,3))]. 17418 a(x,T(y,K(z,u)) \ w,v5) = a(x,y \ w,v5). [para(5213(a,1),17417(a,1,2))]. 17419 a(x,K(y,T(z,u)),w) = a(x,K(y,z),w). [para(7926(a,1),17417(a,1,2))]. 17420 a(x,y \ T(z,K(u,w)),v5) = a(x,y \ z,v5). [para(15553(a,1),17417(a,1,2))]. 17421 a(x,K(y,T(z,u)) \ w,v5) = a(x,K(y,z) \ w,v5). [para(16582(a,1),17417(a,1,2))]. 17422 a(x,y \ (K(z,K(u,w)) \ v5),v6) = a(x,y \ v5,v6). [para(16589(a,1),17417(a,1,2))]. 17423 a(x,K(y,z) \ (u \ ((w / u) \ v5)),x) = a(x,w \ (u * ((K(z,y) \ u) \ v5)),x). [hyper(198,a,16833,a(flip),b,17418,a(flip)),flip(a)]. 17424 a(x,K(y,z) \ (u \ w),x) = a(x,u \ (K(y,z) \ w),x). [hyper(198,a,13584,a(flip),b,17418,a(flip)),flip(a)]. 17425 a(x,y \ T(z,T(u,w)),v5) = a(x,y \ T(z,u),v5). [para(7516(a,1),17420(a,1,2,2))]. 17426 a(x,K(y,z) \ u,w) = a(x,u * K(z,y),w). [para(7784(a,1),17420(a,1,2)),flip(a)]. 17427 a(x,y \ (K(z,u) \ w),v5) = a(x,y \ (w * K(u,z)),v5). [para(7950(a,1),17420(a,1,2,2)),flip(a)]. 17428 a(x,y \ (T(z,K(u,w)) \ v5),v6) = a(x,y \ (z \ v5),v6). [para(5213(a,1),17422(a,1,2,2))]. 17429 a(x,y \ (z * T(u,K(w,v5))),v6) = a(x,y \ (z * u),v6). [para(15554(a,1),17422(a,1,2,2))]. 17430 a(x,y \ (T(z,T(u,w)) \ v5),v6) = a(x,y \ (T(z,u) \ v5),v6). [para(7516(a,1),17428(a,1,2,2,1))]. 17431 a(x,y \ (z * (K(u,w) \ v5)),v6) = a(x,y \ (z * (v5 * K(w,u))),v6). [para(7950(a,1),17429(a,1,2,2,2)),flip(a)]. 17432 a(x,y \ (T(z,z \ u) \ w),v5) = a(x,y \ (((z \ u) \ u) \ w),v5). [para(3950(a,1),17430(a,1,2,2,1)),flip(a)]. 17433 a(x,y \ ((z * (1 / z)) \ (z \ u)),w) = a(x,y \ (((z \ 1) \ 1) \ u),w). [para(5363(a,2),17432(a,1,2,2))]. 17434 a(x,y \ (((z \ 1) \ 1) \ u),w) = a(x,y \ (z \ u),w). [hyper(198,a,13761,a(flip),b,17433,a(flip))]. 17437 T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(u,w,K(v5,v6)) \ (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(792(a,1),16640(a,1,2))]. 17438 T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(v6,w,K(v5,u)) * (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). [para(14576(a,1),17437(a,1,2,2,2,1))]. 17439 T(x,K(y,z)) / (z * T((a(u,w,K(v5,v6)) * (z \ x)) * a(v6,w,K(v5,u)),y)) = K(y,(x \ (z * a(v6,w,K(v5,u)))) \ 1). [para(16784(a,2),17438(a,1,2,2))]. 17440 K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = T(y,K(x,z)) / (z * T(z \ y,x)). [para(16482(a,1),17439(a,1,2,2,1)),flip(a)]. 17441 K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = K(x,(y \ z) \ 1). [hyper(198,a,10505,a(flip),b,17440,a)]. 17443 K(x,(y \ (a(z,u,K(w,v5)) * v6)) \ 1) = K(x,(y \ v6) \ 1). [para(16451(a,2),17441(a,1,2,1,2))]. 17444 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,(v6 \ v5) \ 1). [hyper(6456,a,17443,a)]. 17445 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [hyper(198,a,6455,a(flip),b,17444,a)]. 17446 K(x,L(K(y,z),u,w) \ v5) = K(x,K(y,z) \ v5). [para(10148(a,1),17445(a,1,2,1)),flip(a)]. 17447 K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). [para(16451(a,1),17445(a,1,2,1))]. 17448 K(x,K(L(y,z,u),w) \ v5) = K(x,K(w,y) \ v5). [hyper(15609,a,17446,a)]. 17449 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,K(z,u) \ (y \ v6)). [hyper(198,a,16983,a,b,17446,a(flip)),flip(a)]. 17450 K(x,((y * (z / K(u,w))) * K(u,w)) \ v5) = K(x,(y * z) \ v5). [para(616(a,1),17447(a,1,2,1))]. 17451 K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). [para(17251(a,1),17447(a,1,2,1))]. 17452 K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). [para(16863(a,1),17451(a,1,2)),flip(a)]. 17454 K(x,y \ (K(L(z,u,w),v5) \ v6)) = K(x,K(v5,z) \ (y \ v6)). [hyper(198,a,17078,a(flip),b,17448,a(flip)),flip(a)]. 17455 K(x,y \ (K(z,L(u,w,v5)) \ v6)) = K(x,K(z,u) \ (y \ v6)). [hyper(198,a,17076,a(flip),b,17448,a(flip)),flip(a)]. 17456 K(x,y * (z * L(K(u,w),v5,v6))) = K(x,K(u,w) \ (y * z)). [hyper(198,a,16649,a(flip),b,17448,a(flip)),flip(a)]. 17457 K(x,K(y,z) \ (u * w)) = K(x,(K(z,y) \ u) * w). [para(15031(a,1),17448(a,1,2)),flip(a)]. 17458 K(x,(y \ (z * u)) * K(w,L(v5,u,z))) = K(x,y \ (z * (u * K(w,v5)))). [para(11699(a,1),17452(a,1,2,2)),flip(a)]. 17459 K(x,K(y,z) \ ((z \ u) * w)) = K(x,(T(z,y) \ u) * w). [para(5213(a,1),17457(a,2,2,1))]. 17460 K(x,K(y,z) \ ((y \ u) * w)) = K(x,(T(y,z) \ u) * w). [hyper(15598,a,17459,a)]. 17461 K(x,(T(y,z) \ (y * u)) * w) = K(x,K(y,z) \ (u * w)). [para(13(a,1),17460(a,1,2,2,1)),flip(a)]. 17462 K(x,K(y,z) \ (u * w)) \ K(x,K(K(y,z) \ u,w)) = K(w * (T(y,z) \ (y * u)),x). [para(17461(a,1),13078(a,1,1))]. 17464 K(x,(y * (z * K(u,w))) \ v5) = K(x,K(u,w) \ ((y * z) \ v5)). [para(92(a,1),17449(a,1,2,1))]. 17465 K(x,(K(y,z) \ (u * L(K(w,v5),v6,v7))) \ v8) = K(x,K(w,v5) \ ((K(y,z) \ u) \ v8)). [para(16551(a,2),17449(a,1,2,1))]. 17466 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,K(y,z) \ (v5 \ v6)). [hyper(198,a,16564,a,b,17454,a(flip)),flip(a)]. 17467 K(x,y \ (L(K(z,u),w,v5) \ v6)) = K(x,K(z,u) \ (y \ v6)). [para(6608(a,1),17455(a,1,2,2,1))]. 17469 K(x,K(y,z) \ (u * (w * y))) = K(x,u * (w * T(y,z))). [para(5003(a,1),17456(a,1,2,2)),flip(a)]. 17470 K(x,K(y,z) \ (u * T(w,y))) = K(x,u * (y \ (w * T(y,z)))). [para(7518(a,1),17456(a,1,2,2)),flip(a)]. 17472 K(x,x * (y * T(z,u))) \ T(x,y * T(z,u)) = R(x,K(z,u) \ (y * z),x). [para(17469(a,1),15878(a,1,1))]. 17474 K(x,K(y,z) \ ((L(K(y,z),u,w) \ v5) \ v6)) = K(x,v5 \ v6). [hyper(198,a,16682,a(flip),b,17467,a(flip))]. 17476 K(x,K(y,z) \ ((K(L(y,u,w),z) \ v5) \ v6)) = K(x,v5 \ v6). [para(6605(a,1),17474(a,1,2,2,1,1))]. 17477 K(x,((y * (z * K(u,w))) * K(w,u)) \ v5) = K(x,(y * z) \ v5). [para(7384(a,1),17450(a,1,2,1,1,2))]. 17478 K(x,(y * (K(z,u) \ w)) \ v5) = K(x,K(u,z) \ ((y * w) \ v5)). [hyper(198,a,16603,a,b,17464,a(flip)),flip(a)]. 17479 K(x,K(y,z) \ (x * T(y \ u,y))) \ T(x,u / T(y,z)) = R(x,y \ ((y \ u) * T(y,z)),x). [para(17470(a,2),17142(a,1,1))]. 17480 K(x,K(y,z) * ((u * (w * K(y,z))) \ v5)) = K(x,(u * w) \ v5). [hyper(198,a,16971,a(flip),b,17477,a(flip)),flip(a)]. 17481 K(x,K(y,z) \ (((z \ u) * z) \ w)) = K(x,(z * (u / T(z,y))) \ w). [hyper(198,a,15186,a(flip),b,17478,a(flip))]. 17482 K(x,K(y,L(z,u,w)) * ((v5 * (w * (u * K(y,z)))) \ v6)) = K(x,(v5 * (w * u)) \ v6). [para(11699(a,1),17480(a,1,2,2,1,2))]. 17483 K(x,((y \ z) * T(y,u)) \ w) = K(x,(y * (z / T(y,u))) \ w). [hyper(198,a,17062,a(flip),b,17481,a(flip)),flip(a)]. 17484 K(x,(y * (z / T(y,u))) \ w) = K(x,K(u,y) \ (T(z,y) \ w)). [hyper(17174,a,17483,a),flip(a)]. 17485 K(x,T((T(y,z) \ 1) \ z,u) \ w) = K(x,K(K(v5,v6),y) \ (T(T((y \ 1) \ z,u),y) \ w)). [hyper(198,a,16828,a,b,17484,a(flip)),flip(a)]. 17486 K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(v5,w)). [hyper(198,a,16917,a(flip),b,17458,a(flip))]. 17488 K(x,(y \ (z * T(u,z))) * K(w,v5)) = K(x,y \ ((K(v5,w) * u) * z)). [hyper(198,a,16691,a(flip),b,17486,a(flip))]. 17489 K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (w * v5)) * K(u,z)). [para(106(a,1),17488(a,1,2,1,2)),flip(a)]. 17490 K(x,(((K(y,z) * u) * w) \ (u * (w * v5))) * K(z,y)) = K(x,L(v5,w,K(y,z) * u)). [para(28(a,2),17489(a,1,2)),flip(a)]. 17491 R(x,K(y,z) \ (u * y),x) = R(x,u * T(y,z),x). [hyper(198,a,5422,a(flip),b,17472,a(flip))]. 17492 K(x,(y * L(K(z,u),w,v5)) \ (K(v6,v7) \ v8)) = K(x,K(z,u) \ ((K(v7,v6) \ y) \ v8)). [hyper(198,a,16554,a(flip),b,17465,a(flip)),flip(a)]. 17493 K(x,K(y,z) * ((u * (w * (v5 * K(y,z)))) \ v6)) = K(x,(u * (w * v5)) \ v6). [hyper(16716,a,17482,a)]. 17494 K(x,(K(y,L(z,u,w * K(v5,v6))) * (u * w)) \ v7) = K(x,K(v5,v6) * (((K(y,z) * u) * (w * K(v5,v6))) \ v7)). [para(14999(a,1),17493(a,1,2,2,1)),flip(a)]. 17495 K(x,L(y,z,K(u,w) * v5)) = K(x,(v5 * z) \ (v5 * (z * y))). [hyper(198,a,17270,a(flip),b,17490,a(flip))]. 17497 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(28(a,2),17495(a,2,2))]. 17498 ((K(x,y) * z) * u) * K(w,L(v5,u,z)) = (K(x,y) * z) * (u * K(w,v5)). [para(17497(a,1),11699(a,1,2))]. 17499 K(x,K(y,z) \ ((K(u,w) \ v5) \ v6)) = K(x,K(y,z) \ (v5 \ (K(w,u) \ v6))). [hyper(198,a,17449,a(flip),b,17492,a(flip))]. 17500 K(x,K(y,z) \ (u \ (K(z,L(y,w,v5)) \ v6))) = K(x,u \ v6). [hyper(198,a,17476,a(flip),b,17499,a(flip))]. 17501 K(x,K(y,z) \ (u \ (L(K(z,y),w,v5) \ v6))) = K(x,u \ v6). [para(6608(a,1),17500(a,1,2,2,2,1))]. 17502 K(x,y \ (K(z,u) \ (L(K(u,z),w,v5) \ v6))) = K(x,y \ v6). [hyper(198,a,17078,a(flip),b,17501,a(flip)),flip(a)]. 17503 K(x,y \ (a(K(z,u),w,v5) \ v6)) = K(x,y \ v6). [para(17114(a,1),17502(a,1,2,2))]. 17504 K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,y \ z). [para(16485(a,1),17503(a,1,2,2)),flip(a)]. 17505 K(x,a(K(y,z),u,w) \ v5) = K(x,v5). [para(16485(a,1),17504(a,1,2)),flip(a)]. 17506 K(x,y) \ T(x,(a(K(z,u),w,v5) \ y) * x) = L(x,a(K(z,u),w,v5) \ T(y,x),x). [para(17505(a,1),11813(a,1,1))]. 17508 K(x,y) \ T(x,x * (a(K(z,u),w,v5) \ y)) = L(x,a(K(z,u),w,v5) \ T(y,x),x). [para(4248(a,1),17506(a,1,2))]. 17509 L(x,a(K(y,z),u,w) \ T(v5,x),x) = K(x,v5) \ T(x,x * v5). [para(17199(a,1),17508(a,1,2)),flip(a)]. 17510 L(x,a(K(y,z),u,w) \ T(v5,x),x) = L(x,v5,x). [hyper(198,a,5418,a(flip),b,17509,a)]. 17512 L(x,a(K(y,z),u,w) \ v5,x) = L(x,v5,x). [hyper(198,a,11812,a(flip),b,17510,a(flip)),flip(a)]. 17513 a(x,a(K(y,z),u,w) \ v5,x) = (v6 / x) \ (v6 / L(x,v5,x)). [para(17512(a,1),8864(a,1,2,2)),flip(a)]. 17514 a(x,a(K(y,z),u,w) \ v5,x) = a(x,v5,x). [hyper(198,a,8864,a(flip),b,17513,a)]. 17515 a(x,(y * a(K(z,u),w,v5)) \ v6,x) = a(x,y \ v6,x). [hyper(198,a,13554,a,b,17514,a(flip)),flip(a)]. 17516 a(x,L(K(y,z),u,w) \ v5,x) = a(x,K(y,z) \ v5,x). [para(17186(a,1),17514(a,1,2))]. 17517 a(x,(a(K(y,z),u,w) \ v5) \ v6,x) = a(x,v5 \ v6,x). [para(16455(a,1),17515(a,1,2,1)),flip(a)]. 17518 a(x,K(y,(z \ u) \ w) \ v5,x) = a(x,K(y,u \ (z * w)) \ v5,x). [para(6617(a,1),17516(a,1,2,1)),flip(a)]. 17519 a(x,y \ (a(K(z,u),w,v5) * v6),x) = a(x,y \ v6,x). [hyper(198,a,13555,a(flip),b,17517,a(flip)),flip(a)]. 17520 a(x,y \ (a(K(z,u),w,v5) \ v6),x) = a(x,y \ v6,x). [para(14(a,1),17519(a,1,2,2)),flip(a)]. 17521 a(x,y \ (z * a(u,w,K(v5,v6))),x) = a(x,y \ z,x). [para(16485(a,1),17520(a,1,2,2)),flip(a)]. 17522 a(x,y \ (L(K(z,u),w,v5) \ v6),x) = a(x,y \ (K(z,u) \ v6),x). [para(17186(a,1),17520(a,1,2,2))]. 17523 a(x,y \ ((z * u) * K(w,v5)),x) = a(x,y \ (z * (u * K(w,v5))),x). [para(81(a,1),17521(a,1,2,2))]. 17524 a(x,y \ L(z,u,K(w,v5)),x) = a(x,y \ z,x). [para(17251(a,1),17521(a,1,2,2))]. 17525 a(x,y \ R(z,u,T(w,v5)),x) = a(x,y \ R(z,u,w),x). [para(16858(a,1),17524(a,1,2,2))]. 17526 a(x,y \ (z * ((K(u,w) \ z) \ v5)),x) = a(x,y \ (K(w,u) \ v5),x). [para(15034(a,1),17522(a,1,2,2))]. 17527 a(x,T(y \ (y / (z \ u)),w) * T(y,(z \ u) \ 1),x) = a(x,K(w,u \ (z * 1)) \ (y / (z \ u)),x). [para(6898(a,2),17518(a,1,2))]. 17528 a(x,y \ ((z * u) * K(w,v5)),x) = a(x,y \ (z * (K(v5,w) \ u)),x). [hyper(198,a,17431,a,b,17523,a)]. 17529 a(x,K(y,z) \ (u \ ((w / u) \ v5)),x) = a(x,w \ (K(y,z) \ v5),x). [hyper(198,a,17423,a,b,17526,a(flip)),flip(a)]. 17530 a(x,y \ (K(z,u) \ (w * v5)),x) = a(x,y \ (w * (K(z,u) \ v5)),x). [hyper(198,a,17427,a,b,17528,a(flip)),flip(a)]. 17532 a(x,y \ (K(z,u) \ ((w / y) \ v5)),x) = a(x,w \ (K(z,u) \ v5),x). [hyper(198,a,17424,a(flip),b,17529,a(flip)),flip(a)]. 17533 a(x,x \ (K(y,z) \ ((x \ u) \ w)),x) = a(x,u \ (K(y,z) \ w),x). [hyper(198,a,17303,a(flip),b,17532,a(flip)),flip(a)]. 17534 K(x * (T(y,z) \ (y * u)),w) = K(w,K(y,z) \ (u * x)) \ K(u,K(w,x)). [para(15960(a,1),17462(a,1,2)),flip(a)]. 17535 K(x * (T(y,z) \ (y * u)),w) = K(w,K(y,z) \ (u * x)) \ K(w,K(u,x)). [para(7711(a,1),17534(a,2,2))]. 17537 K(x * (T(y,z) \ (y * u)),w) = K(K(y,z) \ (x * u),w). [hyper(198,a,17330,a(flip),b,17535,a)]. 17538 K(K(x,y) \ (z * (u / x)),w) = K(z * (u / T(x,T(y,u))),w). [para(15747(a,1),17537(a,1,1,2)),flip(a)]. 17539 K(K(x,y) \ (z * (u / x)),w) = K(z * (u / T(x,y)),w). [hyper(198,a,15793,a(flip),b,17538,a)]. 17541 K(K(x,y) \ (z * (u / y)),w) = K(z * (u / T(y,x)),w). [hyper(15632,a,17539,a)]. 17542 K(x / T(y,z),u) \ K(u * (x / T(y,z)),u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(17541(a,1),17307(a,1,2))]. 17543 ((x / T(y,z)) * u) \ T(u * (x / T(y,z)),u) = a(u,y \ (K(y \ 1,z) \ x),u). [hyper(198,a,6696,a(flip),b,17542,a(flip)),flip(a)]. 17544 a(x,y \ (K(y \ 1,z) \ u),x) = a(x,u / T(y,z),x). [hyper(8696,a,17543,a),flip(a)]. 17545 a(x,y \ (K(y \ 1,z) \ u),x) = a(x,T(y,z) \ u,x). [hyper(198,a,13478,a(flip),b,17544,a)]. 17546 K(x,T(T((y \ 1) \ z,u),y) \ w) = K(x,T((T(y,z) \ 1) \ z,u) \ w). [hyper(198,a,15656,a(flip),b,17485,a),flip(a)]. 17547 K(x,T((T(x,y) \ 1) \ y,z) \ u) = K(x,T((x \ 1) \ y,z) \ u). [hyper(9222,a,17546,a),flip(a)]. 17549 K(x,T((T(y,z) \ 1) \ z,u) \ w) = K(x,T(z / (y \ 1),u) \ w). [hyper(198,a,15188,a(flip),b,17546,a(flip))]. 17550 K(x,T((T(x,y) \ 1) \ y,z) \ u) = K(x,T(x * y,z) \ u). [hyper(198,a,9985,a(flip),b,17547,a)]. 17551 K(x,T(y / (x \ 1),z) \ u) = K(x,T(x * y,z) \ u). [hyper(198,a,17550,a(flip),b,17549,a(flip))]. 17552 K(x,K(y,x * z) \ ((z / (x \ 1)) \ u)) = K(x,T(x * z,y) \ u). [hyper(198,a,15787,a,b,17551,a(flip)),flip(a)]. 17553 K(x,K(y,z) \ (x * (u / y))) \ T(x,u / T(y,z)) = R(x,y \ ((y \ u) * T(y,z)),x). [para(17155(a,1),17479(a,1,1))]. 17554 R(x,y \ ((y \ z) * T(y,u)),x) = K(x,x * (z / T(y,u))) \ T(x,z / T(y,u)). [para(16648(a,1),17553(a,1,1)),flip(a)]. 17555 R(x,y \ ((y \ z) * T(y,u)),x) = R(x,z / T(y,u),x). [hyper(198,a,5422,a(flip),b,17554,a)]. 17556 a(x,T(y \ (y / (z \ u)),w) * T(y,u \ z),x) = a(x,K(w,u \ (z * 1)) \ (y / (z \ u)),x). [para(6435(a,1),17527(a,1,2,2))]. 17557 K(x,(K(y,L(z,u,w * K(v5,v6))) * (u * w)) \ v7) = K(x,((K(y,z) * u) * w) \ v7). [hyper(198,a,17480,a(flip),b,17494,a)]. 17559 K(x,((y * z) \ u) * K(L(w,y,z * K(v5,v6)),v7)) = K(x,((K(v7,w) * y) * z) \ u). [hyper(198,a,17064,a(flip),b,17557,a(flip)),flip(a)]. 17560 K(x,((K(y,z) * u) * w) \ v5) = K(x,K(z,y) * ((u * w) \ v5)). [hyper(16721,a,17559,a),flip(a)]. 17561 K(x,y * ((((K(z,u) * w) * v5) \ v6) * K(y,K(u,z) * ((w * v5) \ v6)))) = K(x,(((K(z,u) * w) * v5) \ v6) * y). [para(17560(a,1),15147(a,1,2,2,2))]. 17562 K(x,T(y,K(z,u) * ((w * v5) \ v6)) * (((K(u,z) * w) * v5) \ v6)) = K(x,(((K(u,z) * w) * v5) \ v6) * y). [hyper(15716,a,17561,a)]. 17563 K(x,T(y,(z * u) \ w) * (((K(v5,v6) * z) * u) \ w)) = K(x,(((K(v5,v6) * z) * u) \ w) * y). [hyper(198,a,16659,a(flip),b,17562,a(flip)),flip(a)]. 17565 L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)) = K(x,T(x * y,z)) \ (K(x,K(x * y,z)) \ T(x,y)). [para(8392(a,1),17032(a,1,2)),flip(a)]. 17566 L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)) = K(x,T(x * y,z)) \ (K(x,K(y,z)) \ T(x,y)). [para(7771(a,1),17565(a,2,2,1))]. 17567 L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)) = K(x,T(x * y,z)) \ T(T(x,y),K(y,z)). [para(15372(a,1),17566(a,2,2))]. 17568 L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)) = K(x,T(x * y,z)) \ T(x,T(y,z)). [para(7516(a,1),17567(a,2,2))]. 17569 L(R(x,y,x),K(x,x * y),K(x,T(x * y,z))) = K(x,T(x * y,z)) \ T(x,T(y,z)). [para(7094(a,2),17568(a,1,3))]. 17570 K(x,T(x * y,z)) \ T(x,T(y,z)) = R(x,y,x). [hyper(198,a,16997,a(flip),b,17569,a(flip))]. 17572 K(x,T(y * x,z)) \ T(x,T(y,z)) = R(x,y,x). [para(5507(a,2),17570(a,1,1))]. 17573 K(x,x * T(y,z)) \ T(x,T(y,z)) = R(x,y,x). [para(17092(a,1),17572(a,1,1))]. 17574 R(x,T(y,z),x) = R(x,y,x). [hyper(198,a,5422,a(flip),b,17573,a(flip)),flip(a)]. 17579 R(x,y * z,x) = R(x,z * y,x). [hyper(198,a,15771,a(flip),b,17574,a(flip))]. 17580 R(x,y / z,x) = R(x,z \ y,x). [para(108(a,1),17574(a,1,2)),flip(a)]. 17582 R(x,y \ (y \ (T(y,z) * u)),x) = R(x,y \ ((y \ u) * T(y,z)),x). [para(9973(a,1),17574(a,1,2)),flip(a)]. 17584 R(x,y \ (T(y,z) * u),x) = R(x,(y \ u) * T(y,z),x). [para(955(a,2),17579(a,1,2))]. 17585 K(x,y * z) * K(x * (y * z),x) = x \ R(x,z * y,x). [para(17579(a,1),5435(a,2,2))]. 17586 R(x,K(y,z) \ ((y \ u) * y),x) = R(x,y * (y \ (K(y,z) \ u)),x). [para(8120(a,2),17579(a,1,2))]. 17587 R(x,y \ ((y \ z) * T(y,u)),x) = R(x,T(y,u) \ z,x). [hyper(198,a,17555,a,b,17580,a(flip)),flip(a)]. 17588 K(x,((x * y) * z) / u) \ T(x,(y * z) / u) = R(x,(u / ((z \ 1) \ 1)) \ y,x). [hyper(198,a,17322,a,b,17580,a(flip)),flip(a)]. 17589 K(x,(y / z) \ x) \ T(x,z / y) = R(x,y \ z,x). [hyper(198,a,13375,a,b,17580,a(flip)),flip(a)]. 17590 K(x,y * z) * K(x * (y * z),x) = a(x,z * y,x). [hyper(198,a,8663,a(flip),b,17585,a)]. 17591 a(x,y * z,x) = a(x,z * y,x). [hyper(8692,a,17590,a)]. 17592 a(x,y * (z / y),x) = a(x,z,x). [para(16(a,1),17591(a,1,2)),flip(a)]. 17593 a(x,y \ T(z,y \ 1),x) = a(x,y \ z,x). [para(3845(a,2),17592(a,1,2))]. 17594 a(x,(y * K(z,u)) * L(w / y,y,K(z,u)),x) = a(x,w * K(z,u),x). [para(16861(a,2),17592(a,1,2,2))]. 17595 a(x,T(y \ z,u) \ T(w,T(z \ y,u)),x) = a(x,T(y \ z,u) \ w,x). [para(8996(a,1),17593(a,1,2,2))]. 17596 R(x,y \ (y \ (T(y,z) * u)),x) = R(x,T(y,z) \ u,x). [hyper(198,a,17587,a(flip),b,17582,a)]. 17597 R(x,(K(y,z) \ y) \ u,x) = R(x,T(y,z) \ u,x). [para(5573(a,1),17596(a,1,2))]. 17598 R(x,((y * z) / y) \ u,x) = R(x,T(z,y) \ u,x). [para(5038(a,1),17597(a,1,2,1))]. 17599 R(x,y * (y \ (K(y,z) \ u)),x) = R(x,(y \ u) * T(y,z),x). [hyper(198,a,17491,a(flip),b,17586,a(flip))]. 17600 R(x,y * (y \ (K(y,z) \ u)),x) = R(x,y \ (T(y,z) * u),x). [hyper(198,a,17584,a,b,17599,a)]. 17601 R(x,y \ (T(y,z) * u),x) = R(x,K(y,z) \ u,x). [para(14(a,1),17600(a,1,2)),flip(a)]. 17602 a(x,y \ (T(y,z) * u),x) = R(x,K(y,z) \ u,x) / x. [hyper(66,a,17601,a(flip),b,8671,a),flip(a)]. 17604 a(x,y \ (T(y,z) * u),x) = a(x,K(y,z) \ u,x). [hyper(198,a,8667,a(flip),b,17602,a)]. 17605 a(x,K(y,z) \ u,x) = a(x,K(z,y) \ u,x). [para(5366(a,1),17604(a,1,2))]. 17606 a(x,K(y,z) \ (y * u),x) = a(x,T(y,z) * u,x). [para(5229(a,1),17605(a,1,2)),flip(a)]. 17607 a(x,K(y \ (y / z),u) \ ((y \ (y / z)) * w),x) = a(x,T(T(y \ (y / z),u),z \ 1) * w,x). [para(6453(a,2),17606(a,2,2,1))]. 17608 a(x,K(y,T(z,u)) \ (u * (w / u)),x) = a(x,w * K(z,y),x). [para(16695(a,1),17594(a,1,2))]. 17609 a(x,K(y,T(z,u)) \ (u * (w / u)),x) = a(x,K(y,z) \ w,x). [hyper(198,a,17426,a,b,17608,a)]. 17610 a(x,K(y,z) \ (u * (w / u)),x) = a(x,K(y,z) \ w,x). [hyper(198,a,17421,a(flip),b,17609,a(flip)),flip(a)]. 17612 a(x,K(y,z) \ T(u,w),x) = a(x,K(y,z) \ u,x). [hyper(198,a,13764,a(flip),b,17610,a(flip))]. 17613 a(x,y \ (K(z,u) \ T(y * T(w,v5),y)),x) = a(x,K(z,u) \ w,x). [hyper(198,a,13766,a,b,17612,a(flip)),flip(a)]. 17614 a(x,T(y,z) \ T(y * T(u,w),y),x) = a(x,K(y \ 1,z) \ u,x). [hyper(198,a,17545,a(flip),b,17613,a(flip)),flip(a)]. 17615 a(x,K(y \ 1,z) \ u,x) = a(x,K(y,z) \ T(u,w),x). [hyper(198,a,13583,a(flip),b,17614,a(flip))]. 17616 a(x,K(y \ 1,z) \ u,x) = a(x,K(y,z) \ u,x). [hyper(198,a,17612,a(flip),b,17615,a)]. 17617 a(x,T(y \ z,u) \ T(w,z \ y),x) = a(x,T(y \ z,u) \ w,x). [hyper(198,a,17425,a(flip),b,17595,a(flip)),flip(a)]. 17619 K(x,((x * y) * z) / u) \ T(x,(y * z) / u) = R(x,(u / z) \ y,x). [hyper(198,a,13865,a(flip),b,17588,a)]. 17620 K(x,(y / (z * u)) \ x) \ T(x,(z * u) / y) = R(x,(y / u) \ z,x). [para(13230(a,1),17619(a,1,1))]. 17621 R(x,(y / z) \ u,x) = R(x,y \ (u * z),x). [hyper(198,a,17589,a(flip),b,17620,a(flip))]. 17622 R(x,(y * z) \ (u * y),x) = R(x,T(z,y) \ u,x). [hyper(198,a,17598,a(flip),b,17621,a(flip))]. 17623 R(x,y \ (z \ (u * z)),x) = R(x,T(y,z) \ u,x). [hyper(198,a,13560,a(flip),b,17622,a(flip)),flip(a)]. 17624 R(x,T(y,z) \ u,x) = R(x,y \ T(u,z),x). [para(32(a,2),17623(a,1,2,2)),flip(a)]. 17625 x \ R(x,y \ T(z,u),x) = a(x,T(y,u) \ z,x). [hyper(65,a,17624,a(flip),b,8669,a)]. 17626 a(x,T(y,z) \ u,x) = a(x,y \ T(u,z),x). [hyper(8676,a,17625,a),flip(a)]. 17628 a(x,y \ (z \ (y * u)),x) = a(x,z \ T(u,y),x). [hyper(198,a,13574,a,b,17626,a(flip)),flip(a)]. 17630 a(x,K(y \ 1,z) \ ((u \ (u / y)) * w),x) = a(x,T(T(u \ (u / y),z),y \ 1) * w,x). [para(6394(a,1),17607(a,1,2,1))]. 17631 a(x,T(T(y \ (y / z),u),z \ 1) * w,x) = a(x,K(z,u) \ ((y \ (y / z)) * w),x). [hyper(198,a,17616,a(flip),b,17630,a(flip))]. 17633 a(x,T(T(y \ (y / z),u),z \ 1) * w,x) = a(x,(y \ (y / T(z,u))) * w,x). [para(12032(a,1),17631(a,2,2))]. 17634 a(x,(y \ (y / T(z,u))) * w,x) = a(x,T(y \ (y / z),u) * w,x). [para(6453(a,1),17633(a,1,2,1)),flip(a)]. 17635 a(x,(y \ (y / T(z \ u,w))) * T(y,u \ z),x) = a(x,K(w,u \ (z * 1)) \ (y / (z \ u)),x). [hyper(198,a,17556,a(flip),b,17634,a)]. 17636 a(x,y \ ((y / T(z \ u,w)) * T(y,u \ z)),x) = a(x,K(w,u \ (z * 1)) \ (y / (z \ u)),x). [hyper(198,a,13771,a,b,17635,a(flip)),flip(a)]. 17637 a(x,K(y \ z,u) \ (u / T(z \ y,w)),x) = a(x,K(w,y \ (z * 1)) \ (u / (z \ y)),x). [hyper(198,a,13535,a(flip),b,17636,a(flip)),flip(a)]. 17638 a(x,K(y,z \ (u * 1)) \ (w / (u \ z)),x) = a(x,T(w,z \ u) / T(u \ z,y),x). [para(14692(a,1),17637(a,1,2)),flip(a)]. 17639 a(x,K(y,z \ (u * 1)) \ (w / (u \ z)),x) = a(x,T(u \ z,y) \ T(w,z \ u),x). [hyper(198,a,13478,a(flip),b,17638,a)]. 17640 a(x,K(y,z \ (u * 1)) \ (w / (u \ z)),x) = a(x,T(u \ z,y) \ w,x). [hyper(198,a,17617,a(flip),b,17639,a)]. 17641 a(x,K(y,z \ u) \ (w / (u \ z)),x) = a(x,T(u \ z,y) \ w,x). [para(12(a,1),17640(a,1,2,1,2,2))]. 17642 a(x,(y \ z) \ (K(u,z \ y) \ w),x) = a(x,T(y \ z,u) \ w,x). [hyper(198,a,13571,a,b,17641,a(flip)),flip(a)]. 17643 a(x,y \ (z * (K(u,y \ z) \ w)),x) = a(x,T(z \ y,u) \ w,x). [hyper(198,a,13555,a(flip),b,17642,a(flip)),flip(a)]. 17644 a(x,y \ (z * (K(u,y \ z) \ w)),x) = a(x,(z \ y) \ T(w,u),x). [hyper(198,a,17626,a(flip),b,17643,a)]. 17645 a(x,y \ (z * (K(u,y \ z) \ w)),x) = a(x,y \ (z * T(w,u)),x). [hyper(198,a,13555,a(flip),b,17644,a)]. 17646 a(x,y \ (K(z,y \ u) \ (u * w)),x) = a(x,y \ (u * T(w,z)),x). [hyper(198,a,17530,a,b,17645,a(flip)),flip(a)]. 17647 L(K(x,K(y,x \ z) \ (z * u)),w,v5) \ L(K(x,x \ (K(y,x \ z) \ (z * u))),w,v5) = a(x,x \ (z * T(u,y)),x). [hyper(198,a,13599,a,b,17646,a(flip)),flip(a)]. 17648 K(x,T(y,K(z,L(u,w,v5)) * ((w * v5) \ v6)) * (((K(u,z) * w) * v5) \ v6)) = K(x,((w * v5) \ (K(z,L(u,w,v5)) * v6)) * y). [para(17027(a,1),17278(a,1,2,1))]. 17649 K(x,T(y,(z * u) \ w) * (((K(v5,v6) * z) * u) \ w)) = K(x,((z * u) \ (K(v6,L(v5,z,u)) * w)) * y). [hyper(198,a,16659,a(flip),b,17648,a(flip)),flip(a)]. 17651 K(x,((y * z) \ (K(u,L(w,y,z)) * v5)) * v6) = K(x,(((K(w,u) * y) * z) \ v5) * v6). [hyper(198,a,17563,a(flip),b,17649,a(flip))]. 17652 T(K(x,T(y,T(1 \ (z / u),z))) \ (u * (z / u)),((u \ z) \ 1) * z) = T(u * (z / u),((u \ z) \ 1) * z) * K(y,x). [para(8995(a,1),17362(a,1,1,1,2))]. 17653 T(K(x,T(y,T(z / u,z))) \ (u * (z / u)),((u \ z) \ 1) * z) = T(u * (z / u),((u \ z) \ 1) * z) * K(y,x). [para(48(a,1),17652(a,1,1,1,2,2,1))]. 17654 T(K(x,T(y,z \ u)) \ (z * (u / z)),((z \ u) \ 1) * u) = T(z * (u / z),((z \ u) \ 1) * u) * K(y,x). [para(8462(a,1),17653(a,1,1,1,2))]. 17655 T(x * ((y * K(z,u)) / x),((x \ y) \ 1) * y) = T(x * (y / x),((x \ y) \ 1) * y) * K(z,u). [para(17230(a,1),17654(a,1,1))]. 17656 T(x * ((y * K(z,u)) / x),y * ((y / x) \ 1)) = T(x * (y / x),((x \ y) \ 1) * y) * K(z,u). [hyper(198,a,13057,a(flip),b,17655,a(flip)),flip(a)]. 17657 T(x * (y / x),((x \ y) \ 1) * y) * K(z,u) = x * (T(y * K(z,u),y * ((y / x) \ 1)) / x). [hyper(198,a,4650,a(flip),b,17656,a(flip))]. 17658 T(x,T(y / T(L(K(z,u),w,v5) * v6,K(v7,v8)),(L(K(z,u),w,v5) \ K(v7,v8)) \ v6)) = T(x,(K(L(u,w,v5),z) \ v6) \ y). [hyper(198,a,15641,a(flip),b,17241,a)]. 17660 T(x,T(y / T(L(K(z,u),w,v5) * v6,K(v7,v8)),(L(K(z,u),w,v5) \ K(v7,v8)) \ v6)) = T(x,v6 \ (K(z,L(u,w,v5)) \ y)). [hyper(198,a,16557,a(flip),b,17658,a)]. 17661 T(x,T(y / T(L(K(z,u),w,v5) * v6,K(v7,v8)),(L(K(z,u),w,v5) \ K(v7,v8)) \ v6)) = T(x,v6 \ (L(K(z,u),w,v5) \ y)). [para(11690(a,2),17660(a,2,2,2,1))]. 17662 T(x,T(y / T(K(L(z,u,w),v5) \ v6,K(v7,v8)),(L(K(v5,z),u,w) \ K(v7,v8)) \ v6)) = T(x,v6 \ (L(K(v5,z),u,w) \ y)). [para(11708(a,2),17661(a,1,2,1,2,1))]. 17663 T(x,T(y / (K(L(z,u,w),v5) \ T(v6,K(v7,v8))),(L(K(v5,z),u,w) \ K(v7,v8)) \ v6)) = T(x,v6 \ (L(K(v5,z),u,w) \ y)). [para(16009(a,2),17662(a,1,2,1,2))]. 17664 T(x,T(y / (z * L(K(u,w),v5,v6)),(L(K(u,w),v5,v6) \ K(u,w)) \ z)) = T(x,z \ (L(K(u,w),v5,v6) \ y)). [para(16625(a,1),17663(a,1,2,1,2))]. 17665 T(x,T(y / (z * L(K(u,w),v5,v6)),z)) = T(x,z \ (L(K(u,w),v5,v6) \ y)). [para(17143(a,1),17664(a,1,2))]. 17667 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(11690(a,2),16684(a,1,2,3))]. 17668 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(15396(a,1),17667(a,1,2,3,1))]. 17669 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(11691,a,17668,a)]. 17671 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(16569(a,1),17669(a,1,1))]. 17672 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(17257,a,17671,a),flip(a)]. 17675 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(11736(a,2),17672(a,1,2,1,1))]. 17676 K(x,(L(K(y,z),u,w) \ v5) \ (z * L(y,u,w))) = K(x,v5 \ (L(y,u,w) * z)). [para(1360(a,1),17675(a,1,2,1,1,1,1))]. 17677 K(x,K(y,z) \ (u \ (z * L(y,w,v5)))) = K(x,u \ (L(y,w,v5) * z)). [hyper(198,a,17466,a(flip),b,17676,a(flip)),flip(a)]. 17678 K(x,y \ (L(x,z,u) * w)) = K(x,y \ (w * L(x,z,u))). [hyper(9318,a,17677,a),flip(a)]. 17680 K(x,y \ (L(x,z,u) * w)) != v5 | K(x,y \ (w * L(x,z,u))) = v5. [para(17677(a,1),9318(a,1))]. 17681 L(K(x,(y \ z) \ L(x,u,w)),y \ z,y) = K(x,z \ (L(x,u,w) * y)). [hyper(198,a,11702,a,b,17678,a),flip(a)]. 17682 L(K(x,(y \ z) \ x),y \ z,y) = K(x,z \ (L(x,u,w) * y)). [para(14720(a,1),17681(a,1,1))]. 17683 K(x,y \ (L(x,z,u) * w)) = K(x,y \ (w * x)). [hyper(198,a,11702,a(flip),b,17682,a(flip))]. 17685 K(x,y \ (z * L(x,u,w))) = K(x,y \ (z * x)). [hyper(17680,a,17683,a)]. 17687 K(x,y \ ((z * u) * x)) = K(x,y \ (z * (u * x))). [para(92(a,1),17685(a,1,2,2)),flip(a)]. 17688 K(x,y \ (z * ((z \ u) * x))) = K(x,y \ (u * x)). [para(386(a,1),17685(a,1,2,2))]. 17689 K(x,y \ ((x * z) * u)) = K(x,y \ (z * (u * x))). [hyper(198,a,13237,a(flip),b,17687,a(flip)),flip(a)]. 17690 K(x,(x * y) \ (z * (u * x))) = K(x,y \ (z * u)). [hyper(198,a,9438,a(flip),b,17687,a(flip))]. 17691 K(x,y \ ((z \ u) * (((z \ T(u,z)) \ u) * x))) = K(x,y \ (((z * u) / z) * x)). [para(10524(a,1),17687(a,1,2,2,1)),flip(a)]. 17692 K(x,L(y \ (((z \ u) * x) * z),y,K(z,(z \ u) * x))) = K(x,(K((z \ u) * x,z) \ y) \ (u * x)). [para(5974(a,2),17688(a,1,2))]. 17693 K(x,y \ ((z * x) * u)) = K(x,y \ (z * (u * x))). [hyper(198,a,9755,a,b,17689,a(flip)),flip(a)]. 17694 K(x,y \ (x \ (z * (u * x)))) = K(x,y \ (z * u)). [hyper(7252,a,17690,a)]. 17695 K(x,y \ (x \ (z * u))) = K(x,y \ (z * (u / x))). [para(16(a,1),17694(a,1,2,2,2,2))]. 17696 K(x,y \ (x \ (z * u))) = K(x,y \ (z * (x \ u))). [hyper(198,a,9436,a(flip),b,17695,a)]. 17697 (x * K(y,z \ (y \ (u * w)))) \ x = K(z \ (u * (y \ w)),y). [para(17696(a,2),7385(a,1,1,2))]. 17698 K(x \ (y \ (z * u)),y) = K(x \ (z * (y \ u)),y). [hyper(7398,a,17697,a)]. 17699 L(K(x \ ((y \ x) \ z),x),y \ 1,y) = K(x \ (x \ (y * z)),x). [hyper(198,a,11804,a,b,17698,a),flip(a)]. 17700 K(x,y \ ((z \ u) * (((z \ T(u,z)) \ u) * x))) = K(x,y \ (T(u,z) * x)). [hyper(198,a,17152,a(flip),b,17691,a)]. 17701 K(x,y \ ((z \ u) * (z * x))) = K(x,y \ (T(u,z) * x)). [hyper(198,a,17215,a(flip),b,17700,a(flip)),flip(a)]. 17703 K(x,L(y \ (((z \ u) * x) * z),y,K(z,z \ (u * x)))) = K(x,(K((z \ u) * x,z) \ y) \ (u * x)). [para(13217(a,2),17692(a,1,2,3))]. 17704 K(x,L(y \ (((z \ u) * x) * z),y,K(z,u * x))) = K(x,(K((z \ u) * x,z) \ y) \ (u * x)). [para(13341(a,1),17703(a,1,2))]. 17705 L(K(x,y \ (((z \ u) * x) * z)),y,K(z,u * x)) = K(x,(K((z \ u) * x,z) \ y) \ (u * x)). [hyper(11691,a,17704,a)]. 17706 L(K(x,y \ ((z \ u) * (z * x))),y,K(z,u * x)) = K(x,(K((z \ u) * x,z) \ y) \ (u * x)). [para(17693(a,1),17705(a,1,1))]. 17707 L(K(x,y \ (T(z,u) * x)),y,K(u,z * x)) = K(x,(K((u \ z) * x,u) \ y) \ (z * x)). [para(17701(a,1),17706(a,1,1))]. 17708 K(x,(K((y \ z) * x,y) \ u) \ (z * x)) = K(x,u \ (T(z,y) * x)). [hyper(17253,a,17707,a),flip(a)]. 17710 K(x,(K(y \ (z * x),y) \ u) \ (z * x)) = K(x,u \ (T(z,y) * x)). [para(13243(a,2),17708(a,1,2,1,1))]. 17711 K(x,y \ (K(z,z \ (u * x)) \ (u * x))) = K(x,y \ (T(u,z) * x)). [hyper(198,a,16554,a(flip),b,17710,a(flip)),flip(a)]. 17712 K(x,y \ ((z \ (u * x)) * z)) = K(x,y \ (T(u,z) * x)). [para(4952(a,1),17711(a,1,2,2))]. 17713 K(x,y \ T(z * x,u)) = K(x,y \ (T(z,u) * x)). [hyper(198,a,13666,a(flip),b,17712,a(flip)),flip(a)]. 17714 K(x,((y * x) / z) \ (T(y,u) * x)) = K(x,K(u,y * x) \ z). [hyper(15596,a,17713,a),flip(a)]. 17715 K(x,K(y,z * x) \ u) = K(x,K(y,z) \ u). [hyper(198,a,17095,a(flip),b,17714,a(flip))]. 17717 K(x,y * K(x * z,u)) = K(x,K(u,z) \ y). [hyper(198,a,15709,a(flip),b,17715,a(flip)),flip(a)]. 17718 K(x,K(y,x * z) \ u) = K(x,K(y,z) \ u). [hyper(15500,a,17717,a)]. 17719 K(x,K(y,x * z) \ u) = K(x,K(z,y) \ u). [hyper(198,a,15137,a,b,17718,a)]. 17720 K(x,K(y,z) \ ((y / (x \ 1)) \ u)) = K(x,T(x * y,z) \ u). [hyper(198,a,17552,a(flip),b,17719,a(flip))]. 17721 K(x,(T(y,z) / (x \ 1)) \ u) = K(x,T(x * y,z) \ u). [hyper(198,a,17212,a(flip),b,17720,a(flip)),flip(a)]. 17722 K(x,T(x * y,z) \ u) = K(x,T(y,z) \ (x \ u)). [hyper(198,a,9983,a(flip),b,17721,a(flip))]. 17723 K(x,T(x \ y,z) \ (x \ u)) = K(x,T(y,z) \ u). [para(14(a,1),17722(a,1,2,1,1)),flip(a)]. 17724 K(x,T(y,z) \ (y * u)) = K(x,K(z,x \ y) \ u). [hyper(198,a,17088,a(flip),b,17723,a(flip))]. 17725 K(x,K(y,x \ z) \ u) = K(x,K(z,y) \ u). [para(5212(a,1),17724(a,1,2)),flip(a)]. 17726 K(x,y \ (K(z,x \ u) \ w)) = K(x,K(u,z) \ (y \ w)). [hyper(198,a,17078,a(flip),b,17725,a(flip)),flip(a)]. 17727 L(K(x,K(y,z) \ (y * u)),w,v5) \ L(K(x,x \ (K(z,x \ y) \ (y * u))),w,v5) = a(x,x \ (y * T(u,z)),x). [para(17725(a,1),17647(a,1,1,1))]. 17728 L(K(x,T(y,z) * u),w,v5) \ L(K(x,x \ (K(z,x \ y) \ (y * u))),w,v5) = a(x,x \ (y * T(u,z)),x). [para(15136(a,1),17727(a,1,1,1))]. 17729 L(K(x,T(y,z) * u),w,v5) \ L(K(x,K(y,z) \ (x \ (y * u))),w,v5) = a(x,x \ (y * T(u,z)),x). [para(17726(a,1),17728(a,1,2,1))]. 17730 L(K(x,T(y,z) * u),w,v5) \ L(K(x,x \ (T(y,z) * u)),w,v5) = a(x,x \ (y * T(u,z)),x). [para(17083(a,1),17729(a,1,2,1))]. 17731 a(x,x \ (T(y,z) * u),x) = a(x,x \ (y * T(u,z)),x). [hyper(198,a,13599,a(flip),b,17730,a(flip)),flip(a)]. 17732 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),T(y,u))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(11738(a,1),17341(a,1,3))]. 17733 L(a(x,K(y,z),u),x * (K(y,z) * u),K(L(z,u,x),y)) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [hyper(198,a,17338,a(flip),b,17732,a(flip)),flip(a)]. 17735 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = (x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u)). [para(11737(a,1),17733(a,1,3))]. 17736 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = ((x * u) \ (K(z,(x * u) / (x * (y \ u))) * ((x * K(y,z)) * u))) / 1. [hyper(198,a,55,a,b,17735,a)]. 17737 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),K(L(u,y,x),a(x,K(u,z),y))) = a(x,K(u,z),y). [hyper(66,a,17735,a(flip),b,17256,a)]. 17738 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),(x * K(z,u)) * y))) = L(a(x,K(z,u),y),x * (K(z,u) * y),K(u,L(z,y,x))). [para(7113(a,2),17735(a,2,2)),flip(a)]. 17739 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),a(L(u,y,x),K(u,z),K(y,x))) = a(x,K(u,z),y). [para(14568(a,2),17737(a,1,2,3))]. 17740 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / a(z,x * (K(u,z) * y),1) = a(x,K(u,z),y). [para(16955(a,1),17739(a,1,2,3))]. 17741 ((x * y) \ (K(z,(x * y) / (x * (u \ y))) * ((x * K(u,z)) * y))) / 1 = a(x,K(u,z),y). [para(291(a,1),17740(a,1,2))]. 17743 L(a(x,K(y,z),u),x * (K(y,z) * u),K(z,L(y,u,x))) = a(x,K(y,z),u). [hyper(198,a,17736,a,b,17741,a(flip)),flip(a)]. 17745 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),(x * K(z,u)) * y))) = a(x,K(z,u),y). [hyper(198,a,17743,a(flip),b,17738,a)]. 17746 (x * y) \ (((x * K(z,u)) * y) * K(u,T((x * y) / (x * (z \ y)),x * y))) = a(x,K(z,u),y). [para(9745(a,1),17745(a,1,2,2))]. 17747 (x * y) \ (((x * K(z,u)) * y) * K(u,(x * (z \ y)) \ (x * y))) = a(x,K(z,u),y). [para(7104(a,1),17746(a,1,2,2))]. 17749 (x * y) \ (((x * K(z,u)) * y) * K(L(u,y,x),T(z,y))) = a(x,K(z,u),y). [para(11738(a,1),17747(a,1,2,2))]. 17750 (x * y) \ (((K(z,u) * x) * y) * K(L(T(u,x),y,x),T(z,y))) = a(x,K(z,T(u,x)),y). [para(7113(a,1),17749(a,1,2,1,1))]. 17751 (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,y),x))) = a(x,K(z,T(u,x)),y). [para(7187(a,1),17750(a,1,2,2))]. 17752 (x * y) \ (((K(z,u) * x) * y) * K(L(u,y,x),T(T(z,y),x))) = a(x,K(z,u),y). [hyper(198,a,17419,a(flip),b,17751,a)]. 17754 (x * y) \ (((K(z,u) * x) * y) * K(u,L(T(T(z,y),x),y,x))) = a(x,K(z,u),y). [para(11737(a,1),17752(a,1,2,2))]. 17755 (x * y) \ ((K(z,u) * x) * (y * K(u,T(T(z,y),x)))) = a(x,K(z,u),y). [para(17498(a,1),17754(a,1,2))]. 17756 (x * y) \ ((K(z,u) * x) * (K(u,T(z,x)) * y)) = a(x,K(z,u),y). [para(7157(a,1),17755(a,1,2,2))]. 17757 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),y). [para(11360(a,1),17756(a,1,2))]. 17758 a(x,K(y,z),K(z,y) * u) = a(x,K(y,z),u). [hyper(5317,a,17757,a)]. 17759 ((K(x,y) * (K(y,x) * z)) * u) \ (R(u,K(x,y),K(y,x) * z) * T(K(x,y) * (K(y,x) * z),u)) = a(u,K(x,y),z). [hyper(198,a,11589,a(flip),b,17758,a(flip)),flip(a)]. 17760 (x * y) \ (R(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(5291(a,1),17759(a,1,1,1))]. 17761 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(K(z,u) * (K(u,z) * x),y)) = a(y,K(z,u),x). [para(16802(a,1),17760(a,1,2,1))]. 17762 (x * y) \ (L(y,K(z,u),K(u,z) * x) * T(x,y)) = a(y,K(z,u),x). [para(5291(a,1),17761(a,1,2,2,1))]. 17763 (x * y) \ (x * L(y,K(z,u),K(u,z) * x)) = a(y,K(z,u),x). [para(16979(a,1),17762(a,1,2))]. 17764 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(y,K(u,z),x). [para(16820(a,1),17763(a,1,2))]. 17765 a(x,K(y,z),u) = a(u,K(z,y),x). [hyper(198,a,17757,a(flip),b,17764,a(flip))]. 17766 K(x,a(y,K(z,u),w) * v5) = K(x,v5 * a(w,K(u,z),y)). [para(17765(a,1),16459(a,1,2,1))]. 17767 a(x,a(y,K(z,u),w) * v5,K(v6,v5 * a(w,K(u,z),y))) = 1. [para(17766(a,1),7538(a,1,3))]. 17768 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(11642(a,1),16912(a,1,1,1))]. 17769 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(13981(a,2),17768(a,1,1,2))]. 17770 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(5784(a,1),17769(a,1,1))]. 17771 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(14631(a,1),17770(a,1,1))]. 17772 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(16694(a,1),17771(a,1,1)),flip(a)]. 17773 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(11736(a,2),17772(a,2,2,2))]. 17774 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(11690(a,2),17773(a,2,2))]. 17775 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(3113(a,1),17774(a,2,2,1))]. 17776 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(288(a,1),17775(a,2,2))]. 17778 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(198,a,5124,a(flip),b,17776,a)]. 17780 K(L(x,y,z) \ (u * T(x,x \ 1)),x \ L(x,y,z)) = K(a(z,y,x),u). [hyper(198,a,5684,a(flip),b,17778,a(flip)),flip(a)]. 17781 T(x,T((y / (z * L(K(u,w),v5,v6))) * K(u,K(w,v7)),K(u,K(w,v7)) \ (z * L(K(u,w),v5,v6)))) = T(x,(z * L(K(u,T(w,v7)),v5,v6)) \ y). [para(16574(a,1),17148(a,2,2,1))]. 17782 T(x,T((y / (z * L(K(u,w),v5,v6))) * K(u,K(w,v7)),K(u,K(w,v7)) \ (z * L(K(u,w),v5,v6)))) = T(x,K(u,T(w,v7)) \ (z \ y)). [hyper(198,a,17110,a(flip),b,17781,a)]. 17785 T(x,T((y / (z * L(K(u,w),v5,v6))) * K(u,K(w,v7)),K(u,K(w,v7)) \ (z * L(K(u,w),v5,v6)))) = T(x,K(w,u) \ (z \ y)). [hyper(198,a,16588,a(flip),b,17782,a)]. 17787 T(x,T(K(y,K(z,u)) \ (w / (v5 * L(K(y,z),v6,v7))),K(y,K(z,u)) \ (v5 * L(K(y,z),v6,v7)))) = T(x,K(z,y) \ (v5 \ w)). [para(15505(a,2),17785(a,1,2,1))]. 17788 T(x,T(K(y,K(z,u)) \ (w / (v5 * L(K(y,z),v6,v7))),v5 * L(K(y,T(z,u)),v6,v7))) = T(x,K(z,y) \ (v5 \ w)). [para(16816(a,1),17787(a,1,2,2))]. 17789 T(x,T(K(y,K(z,u)) \ (w / (v5 * L(K(y,z),v6,v7))),K(T(z,u),y) \ v5)) = T(x,K(z,y) \ (v5 \ w)). [para(16708(a,1),17788(a,1,2))]. 17790 T(x,T(K(y,K(z,u)) \ (w / (v5 * L(K(y,z),v6,v7))),K(z,T(y,u)) \ v5)) = T(x,K(z,y) \ (v5 \ w)). [para(7172(a,1),17789(a,1,2,2,1))]. 17792 T(x,T(K(y,K(z,u)) \ (w / (v5 * L(K(y,z),v6,v7))),K(y,z) \ v5)) = T(x,K(z,y) \ (v5 \ w)). [para(16588(a,1),17790(a,1,2))]. 17793 T(x,K(y,K(z,u)) \ T(w / (v5 * L(K(y,z),v6,v7)),K(y,z) \ v5)) = T(x,K(z,y) \ (v5 \ w)). [hyper(198,a,17385,a,b,17792,a(flip)),flip(a)]. 17795 T(x,T(y / (z * L(K(u,w),v5,v6)),K(u,w) \ z)) = T(x,K(w,u) \ (z \ y)). [hyper(198,a,15638,a(flip),b,17793,a(flip)),flip(a)]. 17797 T(x,T(y / (z * L(K(u,w),v5,v6)),z)) = T(x,K(w,u) \ (z \ y)). [hyper(198,a,15930,a(flip),b,17795,a(flip)),flip(a)]. 17799 T(x,y \ (L(K(z,u),w,v5) \ v6)) = T(x,K(u,z) \ (y \ v6)). [hyper(198,a,17665,a(flip),b,17797,a(flip)),flip(a)]. 17801 T(x,K(y,z) \ (u \ w)) = T(x,u \ (K(z,y) \ w)). [para(281(a,1),17799(a,1,2,2,1)),flip(a)]. 17802 T(x,K(y,z) \ (u \ (y * w))) = T(x,u \ (T(y,z) * w)). [para(7541(a,1),17799(a,1,2,2)),flip(a)]. 17803 T(x,K(y,z) \ (u \ w)) = T(x,u \ (K(y,z) \ w)). [hyper(198,a,15560,a,b,17801,a(flip)),flip(a)]. 17804 T(x,y \ (K(z,T(u,w)) \ v5)) = T(x,K(z,u) \ (y \ v5)). [hyper(198,a,16585,a(flip),b,17803,a(flip))]. 17805 T(x,y \ (T(z,u) * u)) = T(x,y \ (u * z)). [hyper(198,a,15542,a(flip),b,17802,a(flip))]. 17806 T(x,y \ (T(z,u) * T(u,w))) = T(x,y \ (T(u,w) * z)). [hyper(198,a,16602,a(flip),b,17805,a(flip)),flip(a)]. 17807 T(x,K(y,z) \ K(K(y,z) \ u,w)) = T(x,K(y,z) \ ((w * u) \ (u * w))). [hyper(198,a,17312,a,b,17804,a(flip)),flip(a)]. 17808 T(x,y \ (T(z,u) * ((u \ w) \ w))) = T(x,y \ (T(u,u \ w) * z)). [para(107(a,1),17806(a,1,2,2,2))]. 17809 T(x,y \ (T(z,z \ u) * w)) = T(x,y \ (T(w,z) * T(z,u))). [hyper(13750,a,17808,a),flip(a)]. 17810 T(x,y \ (T(z,z \ u) * w)) = T(x,y \ (T(z,u) * w)). [hyper(198,a,17806,a(flip),b,17809,a)]. 17811 T(x,y \ (((z \ u) \ u) * w)) = T(x,y \ (T(z,u) * w)). [para(107(a,1),17810(a,1,2,2,1))]. 17812 K(x \ (((y \ z) \ z) * u),w) = w / T(w,x \ (T(y,z) * u)). [para(17811(a,1),4869(a,2,2))]. 17813 T(x,y \ (((y \ z) \ z) * u)) = T(x,K(z,y) \ u). [para(5366(a,1),17811(a,2,2))]. 17814 T(x,K(y,y \ z) \ u) = T(x,K(z,y) \ u). [hyper(198,a,15590,a(flip),b,17813,a(flip)),flip(a)]. 17815 T(x,(((y \ T(z,y)) \ z) \ z) / u) = T(x,K(z,y) \ ((T(y,z) \ z) / u)). [hyper(198,a,15880,a(flip),b,17814,a(flip)),flip(a)]. 17816 K(x \ (((y \ z) \ z) * u),w) = K(x \ (T(y,z) * u),w). [hyper(198,a,4869,a,b,17812,a)]. 17817 K(x \ (T(y,z) * T(u,y)),w) = K(x \ (u * T(y,y \ z)),w). [hyper(198,a,15757,a(flip),b,17816,a(flip))]. 17818 K(x \ (y * T(z,z \ u)),w) = K(x \ (y * T(z,u)),w). [hyper(198,a,15685,a(flip),b,17817,a(flip))]. 17819 K(L(x,y,z) \ (u * T(x,1)),x \ L(x,y,z)) = K(a(z,y,x),u). [hyper(198,a,17780,a(flip),b,17818,a(flip))]. 17820 K(L(x,y,z) \ (u * x),x \ L(x,y,z)) = K(a(z,y,x),u). [para(130(a,1),17819(a,1,1,2,2))]. 17821 K(a(x,y,z),u * L(z,y,x)) = K(z * u,z \ L(z,y,x)). [hyper(198,a,15812,a(flip),b,17820,a(flip))]. 17822 K(a(x,y,z),u * L(z,y,x)) != w | K(u,z \ L(z,y,x)) = w. [para(17821(a,2),14926(a,1))]. 17823 K(a(x,y,z),L(z,y,x) * u) = K(u,z \ L(z,y,x)). [hyper(17822,a,16472,a),flip(a)]. 17824 K(L(x,y,z) \ u,x \ L(x,y,z)) = K(a(z,y,x),u). [para(14(a,1),17823(a,1,2)),flip(a)]. 17825 K(a(x,y,z),u * z) = K(a(x,y,z),u). [hyper(198,a,17820,a(flip),b,17824,a(flip))]. 17826 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(198,a,13815,a,b,17825,a(flip)),flip(a)]. 17829 T(x,K(y,z) \ K(K(y,z) \ u,w)) = T(x,K(y,z) \ K(u,w)). [para(26(a,2),17807(a,2,2,2))]. 17830 T(x,y \ T(K(z,u) \ y,w)) = T(x,K(z,u) \ K(y,w)). [hyper(198,a,17098,a(flip),b,17829,a(flip)),flip(a)]. 17831 (x \ T(x * K(y,z),u)) \ T(K(z,y) \ x,u) = T(T(x,K(z,y)),K(z,y) \ K(x,u)). [hyper(198,a,17389,a,b,17830,a(flip)),flip(a)]. 17832 T(x,(((y \ T(z,y)) \ z) \ z) / u) = T(x,(y \ z) / u). [hyper(198,a,17041,a(flip),b,17815,a)]. 17834 T(x,T(T(y,z) \ z,y) / u) = T(x,(y \ z) / u). [para(8132(a,1),17832(a,1,2,1))]. 17835 T(x,(y / T(z,y)) / u) = T(x,(z \ y) / u). [hyper(198,a,17044,a(flip),b,17834,a(flip)),flip(a)]. 17836 T(x,(y \ z) / T(u,y \ z)) = T(x,u \ (z / T(y,z))). [hyper(198,a,13515,a(flip),b,17835,a(flip))]. 17837 T(x,y \ (z / T(u,z))) = T(x,y \ (u \ z)). [hyper(198,a,13514,a(flip),b,17836,a(flip))]. 17838 K(x,y \ (z / T(u,z))) = (T(x,y \ (u \ z)) * R(x \ 1,x,w)) / ((w / (x * w)) * x). [para(17837(a,1),5259(a,1,1,1)),flip(a)]. 17839 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(198,a,10866,a(flip),b,17826,a(flip)),flip(a)]. 17840 (x \ T(x * K(y,z),u)) \ T(K(z,y) \ x,u) = T(T(x,K(z,y) \ 1),K(z,y)). [hyper(198,a,9453,a(flip),b,17831,a)]. 17842 (x \ T(x * K(y,z),u)) \ T(K(z,y) \ x,u) = T(T(x,K(y,z)),K(z,y)). [para(5124(a,1),17840(a,2,1,2))]. 17843 (x \ T(x * K(y,z),u)) \ T(K(z,y) \ x,u) = x. [hyper(198,a,6070,a(flip),b,17842,a)]. 17845 (x * T(K(y,z) \ x,u)) / x = (x \ T(K(y,z) \ x,u)) * x. [para(17843(a,1),13729(a,1,2)),flip(a)]. 17846 (x \ T(K(y,z) \ x,u)) * x = T(x * K(z,y),u). [hyper(198,a,13737,a(flip),b,17845,a(flip))]. 17847 K(x,T(y,z \ u)) \ T(z,u) = T(z * K(y,x),u). [hyper(198,a,17356,a,b,17846,a(flip)),flip(a)]. 17848 K(x,T(y,z \ u)) \ T(u,z) = T(u * K(y,x),z). [para(8093(a,1),17847(a,1,1))]. 17849 K(x,T(y,z)) \ T(u,z \ u) = T(u * K(y,x),z \ u). [para(15470(a,1),17847(a,1,1))]. 17850 K(x,T(y,L(T(z,z \ 1),z \ 1,u))) \ T(u,u * (z \ 1)) = T(u * K(y,x),u * (z \ 1)). [para(312(a,2),17848(a,1,1,2,2))]. 17851 K(x,y \ (z / T(u,z))) = K(x,y \ (u \ z)). [hyper(198,a,5259,a(flip),b,17838,a)]. 17852 K(x,T(y,z \ u) \ (z \ u)) = K(x,(u / T(z,u)) / y). [hyper(13650,a,17851,a),flip(a)]. 17853 K(x,(y / T(z,y)) / u) = K(x,(z \ y) / u). [hyper(13648,a,17852,a),flip(a)]. 17854 K(x,(T(y,z) / z) / u) = K(x,(z \ y) / u). [para(4086(a,2),17853(a,1,2,1))]. 17855 K(x,(y \ z) / T(u,w)) \ K(x,K(y \ z,u)) = K(T(u,w) \ (T(z,y) / y),x). [para(17854(a,1),15633(a,1,1))]. 17856 K(T(x,y) \ (T(z,u) / u),w) = K(T(x,y) \ (u \ z),w). [hyper(198,a,15386,a(flip),b,17855,a(flip))]. 17857 K(T(x,y \ z) \ (y \ z),u) = K((T(z,y) / y) / x,u). [hyper(13660,a,17856,a),flip(a)]. 17858 K((T(x,y) / y) / z,u) = K((y \ x) / z,u). [hyper(13659,a,17857,a),flip(a)]. 17859 K((x \ y) / T(z,x \ y),u) = K(z \ (T(y,x) / x),u). [hyper(15761,a,17858,a),flip(a)]. 17860 K(x \ (T(y,z) / z),u) = K(x \ (z \ y),u). [hyper(15759,a,17859,a),flip(a)]. 17861 K(x \ (L(y,z,u) \ w),y) = K(y \ (x \ w),y). [hyper(198,a,17408,a,b,17860,a(flip)),flip(a)]. 17862 L(K(x \ ((y \ x) \ z),x),y \ 1,y) = K(x \ (y * (L(x,u,w) \ z)),x). [para(17861(a,1),11803(a,1,1))]. 17863 K(x \ (y * (L(x,z,u) \ w)),x) = K(x \ (x \ (y * w)),x). [hyper(198,a,17699,a(flip),b,17862,a(flip))]. 17864 K(x \ (x \ (y * (z * x))),x) = K(y * (L(x,u,w) \ z),x). [hyper(198,a,10975,a(flip),b,17863,a(flip))]. 17865 K(x * (L(y,z,u) \ w),y) = K(y \ (x * w),y). [hyper(11685,a,17864,a),flip(a)]. 17867 K(x,T(y,L(z,z \ 1,u))) \ T(u,u * (z \ 1)) = T(u * K(y,x),u * (z \ 1)). [para(4830(a,1),17850(a,1,1,2))]. 17868 K(x,T(y,z)) \ T(u,u * (z \ 1)) = T(u * K(y,x),u * (z \ 1)). [para(6524(a,1),17867(a,1,1,2))]. 17869 T(x * K(y,z),x * (u \ 1)) = K(z,T(y,u)) \ T(x,u \ x). [para(1749(a,1),17868(a,1,2)),flip(a)]. 17871 T(x * K(y,z),x * (u \ 1)) = T(x * K(y,z),u \ x). [hyper(198,a,17849,a(flip),b,17869,a)]. 17872 T(x * (y / x),((x \ y) \ 1) * y) * K(z,u) = x * (T(y * K(z,u),(y / x) \ y) / x). [para(17871(a,1),17657(a,2,2,1))]. 17873 T(x * (y / x),((x \ y) \ 1) * y) * K(z,u) = x * (T(y * K(z,u),x) / x). [para(60(a,1),17872(a,2,2,1,2))]. 17874 T(x * (y / x),y * ((y / x) \ 1)) * K(z,u) = x * (T(y * K(z,u),x) / x). [para(13057(a,1),17873(a,1,1))]. 17875 (x * (T(y,y * ((y / x) \ 1)) / x)) * K(z,u) = x * (T(y * K(z,u),x) / x). [para(4650(a,1),17874(a,1,1))]. 17876 (x * (T(y,(y / x) \ y) / x)) * K(z,u) = x * (T(y * K(z,u),x) / x). [para(1749(a,1),17875(a,1,1,2,1))]. 17877 (x * (T(y,x) / x)) * K(z,u) = x * (T(y * K(z,u),x) / x). [para(60(a,1),17876(a,1,1,2,1,2))]. 17878 (x * (T((y * z) * K(z,u),x) / x)) / (y * T(z,u)) = a(x,x \ (y * z),x). [para(17877(a,1),16899(a,1,1))]. 17879 (x * (T(y * T(z,u),x) / x)) / (y * T(z,u)) = a(x,x \ (y * z),x). [para(6257(a,1),17878(a,1,1,2,1,1))]. 17880 (x * T(y,z)) \ (u * (T(x * T(y,z),u) / u)) = a(u,u \ (x * y),u). [hyper(198,a,15751,a(flip),b,17879,a(flip)),flip(a)]. 17881 a(x,x \ (y * T(z,u)),x) = a(x,x \ (y * z),x). [hyper(13492,a,17880,a)]. 17882 a(x,x \ (y * T(z,u)),x) = a(x,x \ (z * y),x). [hyper(198,a,17298,a,b,17881,a)]. 17883 a(x,x \ (1 \ (y * z)),x) = a(x,x \ (z * T(y,u)),x). [para(48(a,2),17882(a,2,2,2)),flip(a)]. 17884 a(x,x \ ((y \ 1) \ z),x) = a(x,x \ (z * T(y,u)),x). [hyper(198,a,13613,a,b,17883,a(flip)),flip(a)]. 17885 a(x,x \ ((y \ 1) \ z),x) = a(x,x \ (z * y),x). [hyper(198,a,17881,a(flip),b,17884,a)]. 17886 a(x,x \ (y * (z \ 1)),x) = a(x,x \ (z \ y),x). [hyper(198,a,17434,a(flip),b,17885,a(flip))]. 17887 a(x,x \ ((y \ 1) * z),x) = a(x,x \ (y \ z),x). [hyper(198,a,17298,a,b,17886,a(flip)),flip(a)]. 17888 a(x,x \ (((T(y,z) \ 1) \ 1) * ((y \ 1) * u)),x) = a(x,x \ (K(z,y) \ u),x). [para(12015(a,1),17887(a,2,2,2))]. 17889 a(x,x \ (T(y,z) * ((1 / y) * u)),x) = a(x,x \ (K(z,y) \ u),x). [para(6866(a,1),17888(a,1,2,2))]. 17890 a(x,x \ (y * T((1 / y) * z,u)),x) = a(x,x \ (K(u,y) \ z),x). [hyper(198,a,17731,a(flip),b,17889,a(flip)),flip(a)]. 17891 a(x,x \ (K(y,z) \ u),x) = a(x,x \ (z * ((1 / z) * u)),x). [hyper(198,a,17881,a(flip),b,17890,a(flip))]. 17893 a(x,x \ L(y,z \ 1,z),x) = a(x,x \ (K(u,z) \ y),x). [hyper(198,a,13767,a(flip),b,17891,a),flip(a)]. 17894 a(x,x \ (K(y,z) \ u),x) = a(x,x \ u,x). [hyper(198,a,13610,a(flip),b,17893,a(flip))]. 17896 a(x,y \ (K(z,u) \ w),x) = a(x,x \ ((x \ y) \ w),x). [hyper(198,a,17533,a(flip),b,17894,a(flip)),flip(a)]. 17898 a(x,y \ (K(z,u) \ w),x) = a(x,x \ (y \ (x * w)),x). [hyper(198,a,13613,a(flip),b,17896,a)]. 17899 a(x,y \ T(z,x),x) = a(x,y \ (K(u,w) \ z),x). [hyper(198,a,17628,a(flip),b,17898,a),flip(a)]. 17900 a(x,y \ (K(z,u) \ w),x) = a(x,y \ w,x). [hyper(198,a,9575,a(flip),b,17899,a(flip))]. 17905 a(x,K(y,z) \ u,x) = a(x,u,x). [para(5283(a,1),17900(a,1,2)),flip(a)]. 17906 a(x,y \ (z / u),x) = a(x,y \ (u \ z),x). [para(4966(a,1),17900(a,1,2,2)),flip(a)]. 17907 a(x,y \ (T(z,u) \ w),x) = a(x,y \ (z \ w),x). [para(5213(a,1),17900(a,1,2,2))]. 17909 a(x,y \ (((z * u) * w) / (z * w)),x) = a(x,y \ R(u,z,w),x). [para(15336(a,1),17900(a,1,2,2))]. 17913 L(x,K(y,z) \ u,x) = a(x,u,x) \ x. [para(17905(a,1),8872(a,1,1)),flip(a)]. 17914 L(x,K(y,z) \ u,x) = L(x,u,x). [hyper(198,a,8872,a(flip),b,17913,a)]. 17915 L(x,K(y,z) \ K(u,w),x) = x. [hyper(198,a,13720,a(flip),b,17914,a)]. 17919 (x * y) / (y * T(x,T(z,y))) = (y * T(x,z)) \ (x * y). [para(17915(a,1),16127(a,1,1)),flip(a)]. 17920 a(x,y \ (z \ u),x) = a(x,z \ (y \ u),x). [hyper(198,a,13571,a,b,17906,a(flip))]. 17921 a(x,y \ ((z * u) \ w),x) = a(x,u \ (z \ (y \ w)),x). [hyper(198,a,13554,a(flip),b,17920,a)]. 17923 (x * T(y,z)) \ (y * x) = K(x,y) \ K(z,y). [hyper(198,a,14719,a(flip),b,17919,a(flip))]. 17925 a(x,y \ ((z * u) \ w),x) = a(x,z \ (u \ (y \ w)),x). [hyper(198,a,17920,a,b,17921,a)]. 17926 a(x,y \ (z \ (u \ (z * (y * w)))),x) = a(x,u \ L(w,y,z),x). [para(28(a,2),17921(a,1,2,2)),flip(a)]. 17927 a(x,y \ ((z * T(u,w)) \ v5),x) = a(x,z \ (u \ (y \ v5)),x). [hyper(198,a,17907,a(flip),b,17925,a)]. 17928 a(x,y \ ((z * u) \ ((z * w) * u)),x) = a(x,y \ R(w,z,u),x). [hyper(198,a,17906,a(flip),b,17909,a(flip)),flip(a)]. 17929 a(x,y \ R(z,u,T(w,T(u * z,v5))),x) = a(x,y \ ((u * T(w,u * z)) \ (w * (u * z))),x). [para(16887(a,1),17928(a,1,2,2)),flip(a)]. 17930 a(x,y \ R(z,u,T(w,T(u * z,v5))),x) = a(x,u \ (w \ (y \ (w * (u * z)))),x). [hyper(198,a,17927,a(flip),b,17929,a)]. 17932 a(x,y \ R(z,u,T(w,T(u * z,v5))),x) = a(x,y \ L(z,u,w),x). [hyper(198,a,17926,a(flip),b,17930,a)]. 17933 a(x,y \ R(z,u,w),x) = a(x,y \ L(z,u,w),x). [hyper(198,a,17525,a(flip),b,17932,a(flip)),flip(a)]. 17935 a(x,y \ L(z,u,w),x) \ x = L(x,y \ R(z,u,w),x). [para(17933(a,1),8872(a,1,1))]. 17936 L(x,y \ R(z,u,w),x) = L(x,y \ L(z,u,w),x). [hyper(12567,a,17935,a),flip(a)]. 17937 L(x,y \ L(y,z,u),x) = L(x,a(y,z,u),x). [hyper(198,a,13678,a(flip),b,17936,a(flip))]. 17938 L(x,y * L(y \ 1,z,u),x) = L(x,a(y \ 1,z,u),x). [para(4819(a,1),17937(a,1,2))]. 17939 T(x,K(T(x,y) * (z * L(z \ 1,u,w)),y)) = L(x,a(z \ 1,u,w),x). [hyper(198,a,16471,a,b,17938,a(flip)),flip(a)]. 17940 L(x,a(y \ 1,z,u),x) = x. [hyper(16470,a,17939,a)]. 17941 L(x,a(y,z,u),x) = x. [para(60(a,1),17940(a,1,2,1))]. 17942 L(x,L(y,z,u) \ y,x) = x. [hyper(198,a,14549,a,b,17941,a(flip)),flip(a)]. 17944 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(17942(a,1),13878(a,1,2)),flip(a)]. 17945 K((x * (y \ L(y,z,u))) \ x,x * (y \ L(y,z,u))) = ((y \ L(y,z,u)) * x) \ (x * (y \ L(y,z,u))). [para(17942(a,1),13883(a,1,2)),flip(a)]. 17946 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = K(L(y,z,u),x) \ K(y,x). [hyper(198,a,17923,a(flip),b,17944,a)]. 17948 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = L(K(y,x),z,u) \ K(y,x). [para(11736(a,2),17946(a,2,1))]. 17949 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = a(K(x,y),z,u). [hyper(198,a,14600,a(flip),b,17948,a)]. 17950 K(L(x,y,z) \ (u \ (u * x)),u * L(x,y,z)) = a(K(u,x),y,z). [hyper(198,a,14895,a(flip),b,17949,a(flip)),flip(a)]. 17951 K(L(x,y,z) \ x,u * L(x,y,z)) = a(K(u,x),y,z). [para(13(a,1),17950(a,1,1,2))]. 17952 K(a(x,y,z),u * L(z,y,x)) = a(K(u,z),y,x). [hyper(13813,a,17951,a)]. 17953 K(x,y \ L(y,z,u)) = a(K(x,y),z,u). [hyper(17822,a,17952,a)]. 17954 K((x * (y \ L(y,z,u))) \ x,x * (y \ L(y,z,u))) = K(x,y \ L(y,z,u)). [hyper(198,a,26,a,b,17945,a)]. 17956 K((x \ L(x,y,z)) \ 1,u * (x \ L(x,y,z))) = K(u,x \ L(x,y,z)). [hyper(6598,a,17954,a)]. 17957 K(L(x,y,z) \ x,u * (x \ L(x,y,z))) = K(u,x \ L(x,y,z)). [hyper(6565,a,17956,a)]. 17959 K(L(x,y,z) \ x,x \ (L(x,y,z) * u)) = K(u,x \ L(x,y,z)). [hyper(198,a,16186,a,b,17957,a(flip)),flip(a)]. 17960 K(x * (L(y,z,u) \ (y * y)),y \ L(y,z,u)) = K(a(u,z,y),x). [hyper(198,a,17839,a(flip),b,17959,a(flip))]. 17961 a(K(x * (L(y,z,u) \ (y * y)),y),z,u) = K(a(u,z,y),x). [hyper(198,a,17953,a(flip),b,17960,a(flip)),flip(a)]. 17962 a(K(x \ (y * (x * x)),x),z,u) = K(a(u,z,x),y). [para(17865(a,1),17961(a,1,1))]. 17963 a(K(x * y,y),z,u) = K(a(u,z,y),x). [para(10953(a,1),17962(a,1,1))]. 17965 a(K(x,y),z,u) = K(a(u,z,y),x). [hyper(198,a,13406,a(flip),b,17963,a(flip)),flip(a)]. 17966 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(14728,a,17965,a)]. 17967 K(x,(y * z) * a(u,w,K(v5,v6))) = K(x,y * (z * K(a(u,w,v5),v6))). [para(17966(a,2),16639(a,1,2,2))]. 17968 K(x,y * (z * K(a(u,w,v5),v6))) = K(x,y * z). [hyper(16638,a,17967,a),flip(a)]. 17970 K(x,y * (T(z,a(u,w,v5)) \ v6)) = K(x,y * (z \ v6)). [para(7619(a,1),17968(a,1,2,2))]. 17972 K(x,y * (L(z,u,K(w,v5)) \ v6)) = K(x,y * (z \ v6)). [para(17250(a,2),17970(a,1,2,2,1))]. 17973 K(x,y * (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) * K(w,v5))). [para(16863(a,1),17972(a,1,2,2)),flip(a)]. 17974 K(x,K(y,z \ u)) * K(y,x * ((z \ u) * K(w,v5))) = K(y,(z \ (K(w,v5) * u)) * x). [para(17973(a,1),17287(a,1,2))]. 17975 K(x,(y \ (K(z,u) * w)) * v5) = K(x,K(z,u) * ((y \ w) * v5)). [hyper(198,a,16841,a(flip),b,17974,a(flip))]. 17976 K(x,K(y,L(z,u,w)) * (((u * w) \ v5) * v6)) = K(x,(((K(z,y) * u) * w) \ v5) * v6). [hyper(198,a,17651,a(flip),b,17975,a(flip))]. 17977 K(x,(((K(y,z) * u) * w) \ v5) * v6) = K(x,K(z,y) * (((u * w) \ v5) * v6)). [hyper(16716,a,17976,a),flip(a)]. 17978 K(x,K(y,z) * (((u * T(w,u)) \ v5) * v6)) = K(x,((w * (u * K(z,y))) \ v5) * v6). [hyper(198,a,17238,a(flip),b,17977,a(flip))]. 17979 K(x,((y * (z * K(u,w))) \ v5) * v6) = K(x,K(w,u) * (((y * z) \ v5) * v6)). [para(106(a,1),17978(a,1,2,2,1,1)),flip(a)]. 17980 K(x,T(y,(z * (u * K(w,v5))) \ ((K(w,v5) * z) * u)) * a(z,K(w,v5),u)) = K(x,K(v5,w) * (((z * u) \ ((K(w,v5) * z) * u)) * y)). [hyper(198,a,17285,a,b,17979,a(flip)),flip(a)]. 17981 K(x,T(y,(z * (u * K(w,v5))) \ ((K(w,v5) * z) * u)) * a(z,K(w,v5),u)) = K(x,K(v5,w) * (R(T(K(w,v5),z * u),z,u) * y)). [para(563(a,1),17980(a,2,2,2,1))]. 17982 K(x,T(y,(z * (u * K(w,v5))) \ ((K(w,v5) * z) * u)) * a(z,K(w,v5),u)) = K(x,K(v5,w) * (R(K(w,T(v5,z * u)),z,u) * y)). [para(7094(a,2),17981(a,2,2,2,1,1))]. 17983 K(x,T(y,(z * (u * K(w,v5))) \ ((K(w,v5) * z) * u)) * a(z,K(w,v5),u)) = K(x,K(v5,w) * (K(w,L(T(v5,z * u),z,u)) * y)). [para(14987(a,1),17982(a,2,2,2,1))]. 17984 K(x,T(y,(z * (u * K(w,v5))) \ ((K(w,v5) * z) * u)) * a(z,K(w,v5),u)) = K(x,K(w,T(v5,z * u)) * (K(v5,w) * y)). [hyper(198,a,16722,a(flip),b,17983,a)]. 17986 K(x,T(y,(z * (u * K(w,v5))) \ ((K(w,v5) * z) * u)) * a(z,K(w,v5),u)) = K(x,K(v5,K(w,z * u)) * y). [para(8389(a,1),17984(a,2,2))]. 17987 K(x,T(y,(z * (u * K(w,v5))) \ ((K(w,v5) * z) * u)) * a(z,K(w,v5),u)) = K(x,y). [hyper(198,a,15651,a(flip),b,17986,a)]. 17989 K(x,T(y,K(z,u) * ((w * v5) \ ((K(u,z) * w) * v5))) * a(w,K(u,z),v5)) = K(x,y). [para(17197(a,1),17987(a,1,2,1))]. 17990 K(x,T(y,K(z,u) * R(T(K(u,z),w * v5),w,v5)) * a(w,K(u,z),v5)) = K(x,y). [para(563(a,1),17989(a,1,2,1,2,2))]. 17991 K(x,T(y,K(z,u) * R(K(u,T(z,w * v5)),w,v5)) * a(w,K(u,z),v5)) = K(x,y). [para(7094(a,2),17990(a,1,2,1,2,2,1))]. 17992 K(x,T(y,K(z,u) * K(u,L(T(z,w * v5),w,v5))) * a(w,K(u,z),v5)) = K(x,y). [para(14987(a,1),17991(a,1,2,1,2,2))]. 17993 K(x,T(y,K(z,T(u,w * v5)) * K(u,z)) * a(w,K(z,u),v5)) = K(x,y). [para(16703(a,1),17992(a,1,2,1))]. 17994 K(x,T(y,K(z,K(u,w * v5))) * a(w,K(z,u),v5)) = K(x,y). [para(7931(a,1),17993(a,1,2,1,2))]. 17996 K(x,y * a(z,K(u,w),v5)) = K(x,y). [para(15394(a,1),17994(a,1,2,1))]. 17998 a(x,a(y,K(z,u),w) * v5,K(v6,v5)) = 1. [para(17996(a,1),17767(a,1,3))]. 17999 a(x,a(y,K(z,u),w),K(v5,v6)) = 1. [hyper(11790,a,17998,a)]. 18001 K(a(x,a(y,K(z,u),w),v5),v6) = 1. [hyper(198,a,17966,a(flip),b,17999,a(flip)),flip(a)]. 18002 $F # answer("nil4 19K"). [resolve(18001,a,47,a)]. ============================== end of proof ==========================