============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 49097.20 (+ 215.20) seconds. % Length of proof: 10266 (3216 new hints) % Level of proof: 58 % Maximum clause weight: 46.000 % Given clauses in run: 29829 % Given clauses in proof: 5811 (0 new hints) 12 a(x,y,a(z,u,w)) = 1 # label("aa3") # label(non_clause) # label(goal). [goal]. 13 (x * x) * (y * z) = ((x * x) * y) * z # label("NucSq_l"). [assumption]. 14 ((x * x) * y) * z = (x * x) * (y * z). [copy(13),flip(a)]. 17 a(x,y,K(z,u)) = 1 # label("aK3"). [assumption]. 18 K(a(x,y,z),u) = 1 # label("Ka"). [assumption]. 19 1 * x = x. [assumption]. 20 x * 1 = x. [assumption]. 21 x \ (x * y) = y. [assumption]. 22 x * (x \ y) = y. [assumption]. 23 (x * y) / y = x. [assumption]. 24 (x / y) * y = x. [assumption]. 25 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 26 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 27 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 28 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 29 x \ (y * x) = T(y,x). [assumption]. 30 T(T(x,y),z) = T(T(x,z),y). [assumption]. 31 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 32 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 33 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 34 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(33),flip(a)]. 35 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 36 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 40 K(a(x,y,z),u) = K(x,a(u,y,z)) # label("Ka1_eq_Ka2 (1423)"). [assumption]. 41 K(x,a(y,z,u)) = 1. [copy(40),rewrite([18(2)]),flip(a)]. 44 K(K(x,y),z) = K(x,K(y,z)) # label("Kassoc"). [assumption]. 45 K(x,K(y,z)) = K(y,K(x,z)) # label("KKcom_a"). [assumption]. 46 K(x,K(y,z)) = K(x,K(z,y)) # label("KKcom_b"). [assumption]. 47 K(x,y) * K(z,u) = K(z,u) * K(x,y) # label("KKcom_c"). [assumption]. 48 K(x,y) * K(y,x) = 1 # label("KxyKyx"). [assumption]. 49 K(K(x,y),K(z,u)) = 1 # label("KofKK"). [assumption]. 50 K(x,K(y,K(z,u))) = 1. [copy(49),rewrite([45(3),44(2),45(3),45(2)])]. 51 K(x,y) = (x * y) / (y * x) # label("K-dual"). [assumption]. 52 (x * y) / (y * x) = K(x,y). [copy(51),flip(a)]. 53 K(x,y) = x \ T(x,y) # label("K_eq_T_a"). [assumption]. 54 x \ T(x,y) = K(x,y). [copy(53),flip(a)]. 55 K(x,y) = y / T(y,x) # label("K_eq_T_b"). [assumption]. 56 x / T(x,y) = K(y,x). [copy(55),flip(a)]. 58 K(x,K(y,z * z)) = 1 # label("Ksqmap"). [assumption]. 59 T(x / (x / y),z) = x / (x / T(y,z)) # label("T property"). [assumption]. 60 x / (x / T(y,z)) = T(x / (x / y),z). [copy(59),flip(a)]. 61 L(x / (x / y),z,u) = x / (x / L(y,z,u)) # label("L property"). [assumption]. 62 x / (x / L(y,z,u)) = L(x / (x / y),z,u). [copy(61),flip(a)]. 63 R(x / (x / y),z,u) = x / (x / R(y,z,u)) # label("R property"). [assumption]. 64 x / (x / R(y,z,u)) = R(x / (x / y),z,u). [copy(63),flip(a)]. 71 K(x,R(y,z,u)) = K(x,L(y,z,u)) # label("KRKL"). [assumption]. 72 T(x,L(y,z,u)) = T(x,R(y,z,u)) # label("TRTL"). [assumption]. 73 T(x,R(y,z,u)) = T(x,L(y,z,u)). [copy(72),flip(a)]. 74 R(K(x,y),z,u) = L(K(x,y),z,u) # label("RKLK 1"). [assumption]. 75 R(x,K(y,z),u) = L(x,K(y,z),u) # label("RKLK 2"). [assumption]. 76 R(x,y,K(z,u)) = L(x,y,K(z,u)) # label("RKLK 3"). [assumption]. 77 L(K(x,y),z,u) = K(x,L(y,z,u)) # label("LKKL"). [assumption]. 107 K(K(x,a(y,z,u)),w) = 1 # label("nil3 2, Ka-C"). [assumption]. 108 K(1,x) = 1. [copy(107),rewrite([41(2)])]. 123 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 127 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 128 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 129 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 130 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 131 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 139 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 141 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [assumption]. 142 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. 143 T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. 146 x != y | x * z = y * z # label("Aux 1"). [assumption]. 147 x != y | z * x = z * y # label("Aux 2"). [assumption]. 149 x != y | z / x = z / y # label("Aux 4"). [assumption]. 150 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 151 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 152 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 153 (x * y) / x = y * K(x,y) # label("cb100_1"). [assumption]. 154 T(x,y) = x * K(x,y) # label("cb100_2"). [assumption]. 155 x * K(x,y) = T(x,y). [copy(154),flip(a)]. 158 K(x,K(y,z)) * y = T(y,K(x,z)) # label("cb100_5"). [assumption]. 161 K(x,K(y,z)) * z = T(z,K(x,y)) # label("cb100_8"). [assumption]. 163 T(T(x,y),T(z,y)) = K(x,z) * T(x,y) # label("cb100_10"). [assumption]. 166 x / (x / y) = y * K(y \ x,y) # label("cb100_13"). [assumption]. 168 T(x,K(y,z) * u) = T(x,u * K(y,z)) # label("cb100_15"). [assumption]. 171 T(x / y,z) * y = y * T(y \ x,z) # label("cb100_17"). [assumption]. 174 K(x,y) * x = T(x,y) # label("cb100_20"). [assumption]. 175 K(L(x,y,z),u) = K(R(x,y,z),u) # label("cb100_21"). [assumption]. 176 K(R(x,y,z),u) = K(L(x,y,z),u). [copy(175),flip(a)]. 177 K((x * y) / x,z) = K(y,T(z,x)) # label("cb100_22"). [assumption]. 179 K(x * K(y,x),z) = K(x,T(z,y)) # label("cb100_24"). [assumption]. 180 T(x,y) / y = x / T(y,x) # label("cb100_25"). [assumption]. 181 T(x,K(y,z)) * K(z,y) = K(z,y) * x # label("cb100_26"). [assumption]. 183 K(x / y,T(z,y)) = K(y \ x,z) # label("cb100_28"). [assumption]. 187 K(x * y,T(z,y)) = K(y * x,z) # label("cb100_32"). [assumption]. 188 T(T(x,y),T(z,x)) = T(T(x,z),y) # label("cb100_33"). [assumption]. 191 T(x,T(y,z)) = T(x,y * K(z,y)) # label("cb100_36"). [assumption]. 192 T(x,y * K(z,y)) = T(x,T(y,z)). [copy(191),flip(a)]. 195 T(T(x * K(y,x),z),y) = T(x,z) # label("cb100_38"). [assumption]. 197 R(x,y,x) = T(x,y) * K(x * y,x) # label("cb100_40"). [assumption]. 198 T(x,y) * K(x * y,x) = R(x,y,x). [copy(197),flip(a)]. 199 x \ T(y,x) = T(x,y) \ y # label("cb100_41"). [assumption]. 200 T(x,y) \ y = x \ T(y,x). [copy(199),flip(a)]. 201 T(x,y) = T(x,T(y,x)) # label("cb100_42"). [assumption]. 202 T(x,T(y,x)) = T(x,y). [copy(201),flip(a)]. 203 x * K(y,y \ x) = y * (x / y) # label("cb100_43"). [assumption]. 204 K(x,y) / y = 1 / T(y,x) # label("cb100_44"). [assumption]. 206 T(x,y) * (x \ z) = x \ (T(x,y) * z) # label("cb100_46"). [assumption]. 207 x \ (T(x,y) * z) = T(x,y) * (x \ z). [copy(206),flip(a)]. 208 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5) # label("cb100_47"). [assumption]. 209 T(x,y) * y = x * ((x * y) / x) # label("cb100_48"). [assumption]. 212 K(x,y) * (K(y,x) * z) = L(z,K(y,x),K(x,y)) # label("cb100_51"). [assumption]. 213 L(x / y,z,u) * y = y * L(y \ x,z,u) # label("cb100_52"). [assumption]. 215 T(x,y) * y = x * (y * K(x,y)) # label("cb100_54"). [assumption]. 216 x * (y * K(x,y)) = T(x,y) * y. [copy(215),flip(a)]. 218 K(x * (y * K(z,K(u,w))),v5) = K(x * y,v5) # label("cb100_56"). [assumption]. 219 T(x,K(y,K(z,u)) * w) = T(x,w) # label("cb100_57"). [assumption]. 224 x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z) # label("cb100_61"). [assumption]. 225 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [copy(224),flip(a)]. 226 T(x,T(y,z) * z) = T(x,z * y) # label("cb100_62"). [assumption]. 227 (x * T(x \ y,z)) / y = K(1 / (x / y),z) # label("cb100_63"). [assumption]. 229 (x * T(y,z)) / x = T((x * y) / x,z) # label("cb100_65"). [assumption]. 231 T(x,y) \ 1 = x \ K(y,x) # label("cb100_67"). [assumption]. 232 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)) # label("cb100_68"). [assumption]. 235 K(x,T(y,z) * z) = K(x,z * y) # label("cb100_71"). [assumption]. 240 x = T(x * K(y,x),y) # label("cb100_75"). [assumption]. 241 T(x * K(y,x),y) = x. [copy(240),flip(a)]. 243 K(x,x \ y) = K(x,y / x) # label("cb100_77"). [assumption]. 244 K(x,y / x) = K(x,x \ y). [copy(243),flip(a)]. 245 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y) # label("cb100_78"). [assumption]. 246 x * (T(x,y) * z) = T(x,y) * (x * z) # label("cb100_79"). [assumption]. 247 T(x,y) * (x * z) = x * (T(x,y) * z). [copy(246),flip(a)]. 248 K(x / y,T(z,x)) = K(y \ x,z) # label("cb100_80"). [assumption]. 254 ((x * y) / x) \ T(x,y) = y \ x # label("cb100_85"). [assumption]. 255 K(K(x,y) * z,u) = K(z * K(y,x),u) # label("cb100_86"). [assumption]. 256 T(x * y,K(y,z)) = y * T(x,T(y,z)) # label("cb100_87"). [assumption]. 257 x * T(y,T(x,z)) = T(y * x,K(x,z)). [copy(256),flip(a)]. 258 ((x * y) * z) / R(x,y,z) = (y * z) * K(L(x,y,z),y * z) # label("cb100_88"). [assumption]. 259 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)) # label("cb100_89"). [assumption]. 261 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)) # label("cb100_91"). [assumption]. 267 K(x,K(y,z) * u) = K(x,K(z,y) * u) # label("cb100_96"). [assumption]. 268 T(x,T(y * z,z)) = T(x,z * y) # label("cb100_97"). [assumption]. 269 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)) # label("cb100_98"). [assumption]. 270 K(x,K(y,z) * u) = K(x,u * K(y,z)) # label("cb100_99"). [assumption]. 271 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y # label("cb100_100"). [assumption]. 272 L(x,y,z) * T(u,T(x,w)) = T(u * L(x,y,z),K(x,w)) # label("p9loop 0 1 ID<4364>"). [assumption]. 275 L(x,y,z) * T(u,x) = u * L(x,y,z) # label("p9loop 0 4 ID<5214>"). [assumption]. 276 T(x / L(y,z,u),y) = L(y,z,u) \ x # label("p9loop 0 5 ID<5403>"). [assumption]. 277 (x / L(y,z,u)) * y = y * (L(y,z,u) \ x) # label("p9loop 0 6 ID<5529>"). [assumption]. 280 a(x,y,z) * u = u * a(x,y,z) # label("p9loop 0 9 ID<1413>"). [assumption]. 284 (a(x,y,z) * u) \ ((u * w) * a(x,y,z)) = L(w,u,a(x,y,z)) # label("p9loop 0 13 ID<5688>"). [assumption]. 285 (x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = L(w,x,a(y,z,u)) # label("p9loop 0 14 ID<5889>"). [assumption]. 286 L(x \ y,x,a(z,u,w)) = (x * a(z,u,w)) \ (y * a(z,u,w)) # label("p9loop 0 15 ID<5918>"). [assumption]. 287 L(x \ y,x,a(z,u,w)) = (x * a(z,u,w)) \ (a(z,u,w) * y) # label("p9loop 0 16 ID<5990>"). [assumption]. 288 (x * a(y,z,u)) \ (a(y,z,u) * (w * x)) = L(T(w,x),x,a(y,z,u)) # label("p9loop 0 17 ID<6021>"). [assumption]. 289 (a(x,y,z) * u) * w = (u * a(x,y,z)) * w # label("p9loop 0 18 ID<5676>"). [assumption]. 290 a(x,y,z) * (a(u,w,v5) * v6) = (v6 * a(u,w,v5)) * a(x,y,z) # label("p9loop 0 19 ID<6091>"). [assumption]. 291 x * (a(y,z,u) * w) = x * (w * a(y,z,u)) # label("p9loop 0 20 ID<5675>"). [assumption]. 292 x \ (a(y,z,u) * w) = x \ (w * a(y,z,u)) # label("p9loop 0 21 ID<5671>"). [assumption]. 294 x * a(y,z,u) != w | a(y,z,u) \ w = x # label("p9loop 0 23 ID<6393>"). [assumption]. 295 (a(x,y,z) \ u) * a(x,y,z) = u # label("p9loop 0 24 ID<5667>"). [assumption]. 296 (a(x,y,z) \ u) \ u = a(x,y,z) # label("p9loop 0 25 ID<6423>"). [assumption]. 298 T(x,L(y,z,u)) = T(x,y) # label("p9loop 0 27 ID<696>"). [assumption]. 299 x / a(y,z,u) = a(y,z,u) \ x # label("p9loop 0 28 ID<6401>"). [assumption]. 300 T(x,a(y,z,u)) = x # label("p9loop 0 29 ID<604>"). [assumption]. 301 L(x,y,K(z,u)) = x # label("p9loop 0 30 ID<559>"). [assumption]. 302 L(x,K(y,z),u) = x # label("p9loop 0 31 ID<558>"). [assumption]. 303 T(a(x,y,z),u) = a(x,y,z) # label("p9loop 0 32 ID<605>"). [assumption]. 304 L(x,y,z) * a(u,w,v5) = a(u,w,v5) * L(x,y,z) # label("p9loop 0 33 ID<6512>"). [assumption]. 305 K(x,L(y,z,u)) = K(x,y) # label("p9loop 0 34 ID<557>"). [assumption]. 306 K(L(x,y,z),u) = K(x,u) # label("p9loop 0 35 ID<1199>"). [assumption]. 314 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w) # label("p9loop 0 43 ID<3201>"). [assumption]. 315 K(x * K(y,T(z,u)),w) = K(x * K(y,z),w) # label("p9loop 0 44 ID<2952>"). [assumption]. 316 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w) # label("p9loop 0 45 ID<2979>"). [assumption]. 318 K(x * (K(y,z) * u),w) = K(x * (u * K(y,z)),w) # label("p9loop 0 47 ID<3961>"). [assumption]. 321 K(x * T(y,K(z,u)),w) = K(x * y,w) # label("p9loop 0 50 ID<1624>"). [assumption]. 322 K(K(x,K(y,z)) * u,w) = K(u,w) # label("p9loop 0 51 ID<1616>"). [assumption]. 323 K(x,y * (z * T(u,K(w,v5)))) = K(x,y * (z * u)) # label("p9loop 0 52 ID<4794>"). [assumption]. 325 K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)) # label("p9loop 0 54 ID<2946>"). [assumption]. 327 K(x,y * T(z,K(u,w))) = K(x,y * z) # label("p9loop 0 56 ID<2283>"). [assumption]. 328 K(x,y * K(z,K(u,w))) = K(x,y) # label("p9loop 0 57 ID<2278>"). [assumption]. 330 T(x,K(y,T(z,u))) = T(x,K(y,z)) # label("p9loop 0 59 ID<1644>"). [assumption]. 331 T(x,K(y,z / u)) = T(x,K(y,u \ z)) # label("p9loop 0 60 ID<7746>"). [assumption]. 332 T(x,y * (z * T(u,K(w,v5)))) = T(x,y * (z * u)) # label("p9loop 0 61 ID<7409>"). [assumption]. 334 T(x,y * T(z,K(u,w))) = T(x,y * z) # label("p9loop 0 63 ID<3319>"). [assumption]. 335 T(x,y * K(z,K(u,w))) = T(x,y) # label("p9loop 0 64 ID<1000>"). [assumption]. 336 T(x,K(y,z * u)) = T(x,K(y,u * z)) # label("p9loop 0 65 ID<7747>"). [assumption]. 340 K(x,K(y,z) * u) = K(x,u * K(z,y)) # label("p9loop 0 69 ID<4282>"). [assumption]. 341 T(x,K(y,z) * u) = T(x,u * K(z,y)) # label("p9loop 0 70 ID<996>"). [assumption]. 347 K(x,K(y,z / u)) = K(x,K(y,u \ z)) # label("p9loop 0 76 ID<2223>"). [assumption]. 348 K(x,K(y,T(z,u))) = K(x,K(y,z)) # label("p9loop 0 77 ID<1625>"). [assumption]. 349 T(x,T(y,T(z,u))) = T(x,T(y,z)) # label("p9loop 0 78 ID<3225>"). [assumption]. 350 T(x,T(y,z * u)) = T(x,T(y,u * z)) # label("p9loop 0 79 ID<8897>"). [assumption]. 356 K(x,T(y,z * K(u,w))) = K(x,T(y,z)) # label("p9loop 0 85 ID<9385>"). [assumption]. 357 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)) # label("p9loop 0 86 ID<9311>"). [assumption]. 359 K(x / T(y,K(z,u)),w) = K(x / y,w) # label("p9loop 0 88 ID<9439>"). [assumption]. 360 K(x,y / T(z,K(u,w))) = K(x,y / z) # label("p9loop 0 89 ID<9722>"). [assumption]. 361 K(x,T(y,K(z,u)) / w) = K(x,y / w) # label("p9loop 0 90 ID<9671>"). [assumption]. 362 T(x,y / T(z,K(u,w))) = T(x,y / z) # label("p9loop 0 91 ID<9764>"). [assumption]. 363 K(K(x,y) * z,u) = K(z * K(x,y),u) # label("p9loop 0 92 ID<1001>"). [assumption]. 365 T(x,T(y,K(z,u))) = T(x,y) # label("p9loop 0 94 ID<786>"). [assumption]. 366 K(x,K(y,z)) * u = u * K(x,K(y,z)) # label("p9loop 0 95 ID<1400>"). [assumption]. 367 K(x,T(y,K(z,u))) = K(x,y) # label("p9loop 0 96 ID<1933>"). [assumption]. 368 T(x,K(y,K(z,u))) = x # label("p9loop 0 97 ID<603>"). [assumption]. 369 K(x,T(y,z / u)) = K(x,T(y,u \ z)) # label("p9loop 0 98 ID<7056>"). [assumption]. 370 K(T(x,y) / z,T(u,x)) = K(z \ T(x,y),u) # label("p9loop 0 99 ID<3860>"). [assumption]. 372 x \ x = 1 # label("p9loop 0 101 ID<282>"). [assumption]. 373 1 \ x = x # label("p9loop 0 102 ID<283>"). [assumption]. 374 x / x = 1 # label("p9loop 0 103 ID<289>"). [assumption]. 375 x / 1 = x # label("p9loop 0 104 ID<290>"). [assumption]. 376 K(x,1) = 1 # label("p9loop 0 105 ID<305>"). [assumption]. 377 T(1,x) = 1 # label("p9loop 0 106 ID<336>"). [assumption]. 378 T(x,1) = x # label("p9loop 0 107 ID<337>"). [assumption]. 379 T(x,x) = x # label("p9loop 0 108 ID<338>"). [assumption]. 380 K(x,x) = 1 # label("p9loop 0 109 ID<1193>"). [assumption]. 381 a(1,x,y) = 1 # label("p9loop 0 110 ID<278>"). [assumption]. 383 a(x,y,1) = 1 # label("p9loop 0 112 ID<280>"). [assumption]. 384 L(x,y,1) = x # label("p9loop 0 113 ID<314>"). [assumption]. 386 L(1,x,y) = 1 # label("p9loop 0 115 ID<316>"). [assumption]. 389 R(x,y,1) = x # label("p9loop 0 118 ID<328>"). [assumption]. 391 x / (y \ x) = y # label("p9loop 0 120 ID<291>"). [assumption]. 392 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u) # label("p9loop 0 121 ID<4024>"). [assumption]. 394 K(T(x,y) * z,T(u,x)) = K(z * T(x,y),u) # label("p9loop 0 123 ID<10454>"). [assumption]. 395 K(x,T(T(y,z) * u,y)) = K(x,u * T(y,z)) # label("p9loop 0 124 ID<10647>"). [assumption]. 396 K(x,T(y,T(z,u))) = K(x,T(y,z)) # label("p9loop 0 125 ID<2986>"). [assumption]. 398 K(x * x,T(y,z)) = K(x * x,y) # label("p9loop 0 127 ID<2963>"). [assumption]. 400 T(x,T(y * y,z)) = T(x,y * y) # label("p9loop 0 129 ID<10875>"). [assumption]. 401 K(x / T(y * y,z),u) = K(T(y * y,z) \ x,u) # label("p9loop 0 130 ID<10918>"). [assumption]. 402 K(x,T(y * y,z)) = K(x,y * y) # label("p9loop 0 131 ID<3004>"). [assumption]. 403 K(x,y * K(z * z,u)) = K(x,y) # label("p9loop 0 132 ID<11025>"). [assumption]. 405 T(x,K(y,z * z)) = x # label("p9loop 0 134 ID<602>"). [assumption]. 406 K(x / (y * y),z) = K((y * y) \ x,z) # label("p9loop 0 135 ID<10919>"). [assumption]. 407 K(x,T(y,z * z)) = K(x,y) # label("p9loop 0 136 ID<3011>"). [assumption]. 408 T(x,T(y,z * z)) = T(x,y) # label("p9loop 0 137 ID<11154>"). [assumption]. 409 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,x * K(y,z)) # label("p9loop 0 138 ID<2359>"). [assumption]. 414 K(x / (y * K(z,u)),w) = K(K(u,z) * (x / y),w) # label("p9loop 0 143 ID<11787>"). [assumption]. 415 K(K(x,y) * T(z,u),w) = K(K(x,y) * z,T(w,u)) # label("p9loop 0 144 ID<11812>"). [assumption]. 416 K(x,K(y,z) * T(u,w)) = K(x,T(K(y,z) * u,w)) # label("p9loop 0 145 ID<11940>"). [assumption]. 417 K(x,y) * T(z,K(u,w)) = T(K(x,y) * z,K(u,w)) # label("p9loop 0 146 ID<11667>"). [assumption]. 418 T(x,K(y,z)) * K(u,w) = T(x * K(u,w),K(y,z)) # label("p9loop 0 147 ID<12085>"). [assumption]. 419 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y) # label("p9loop 0 148 ID<12190>"). [assumption]. 423 T(x,(K(y,z) * u) \ w) = T(x,K(z,y) * (u \ w)) # label("p9loop 0 152 ID<12447>"). [assumption]. 428 T(x,K(y,z) * (T(y,u) \ w)) = T(x,T(T(y,u),z) \ w) # label("p9loop 0 157 ID<12813>"). [assumption]. 429 K(x,T(y,K(z,u)) \ w) = K(x,y \ w) # label("p9loop 0 158 ID<12448>"). [assumption]. 431 T(K(x,T(y,z)) * u,K(x,y)) = u * K(x,T(y,z)) # label("p9loop 0 160 ID<11666>"). [assumption]. 432 T(x,T(y,K(z,u)) \ w) = T(x,y \ w) # label("p9loop 0 161 ID<12602>"). [assumption]. 434 T(x,(y \ z) * K(y,u)) = T(x,T(y,u) \ z) # label("p9loop 0 163 ID<12814>"). [assumption]. 435 T(x,T((y \ z) * K(y,u),w)) = T(x,T(T(y,u) \ z,w)) # label("p9loop 0 164 ID<13487>"). [assumption]. 436 K(x,(y \ z) * K(y,u)) = K(x,T(y,u) \ z) # label("p9loop 0 165 ID<13448>"). [assumption]. 437 K(x,T(y,z * z) \ u) = K(x,y \ u) # label("p9loop 0 166 ID<13701>"). [assumption]. 439 K(x,T(y,z)) * T(z,u) = T(z,u) * K(x,y) # label("p9loop 0 168 ID<12289>"). [assumption]. 440 T(x,y) * K(z * x,u) = K(x * z,u) * T(x,y) # label("p9loop 0 169 ID<13860>"). [assumption]. 441 T(T(x,y) * K(x * z,u),K(z,u)) = T(x,y) * K(z * x,u) # label("p9loop 0 170 ID<13938>"). [assumption]. 445 K(T(T(x,y),y) \ z,u) = K(x \ z,u) # label("p9loop 0 174 ID<14734>"). [assumption]. 446 K(((x * y) / x) \ z,u) = K(T(y,x) \ z,u) # label("p9loop 0 175 ID<14836>"). [assumption]. 450 T(x,T(y \ z,y) \ u) = T(x,(z / y) \ u) # label("p9loop 0 179 ID<14766>"). [assumption]. 452 K(K(x,y) * (x \ z),u) = K(T(x,y) \ z,u) # label("p9loop 0 181 ID<14806>"). [assumption]. 454 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u) # label("p9loop 0 183 ID<13018>"). [assumption]. 455 T(x,K(y,z) * u) = T(x,K(z,y) * u) # label("p9loop 0 184 ID<752>"). [assumption]. 460 L(x,a(y,z,u),x) = x # label("p9loop 0 189 ID<553>"). [assumption]. 463 L(x,y,a(z,u,z)) = x # label("p9loop 0 192 ID<556>"). [assumption]. 468 R(x / (x / y),z,u) \ x = x / R(y,z,u) # label("p9loop 0 197 ID<10384>"). [assumption]. 469 K(T(x,y) * y,z) = K(y * x,z) # label("p9loop 0 198 ID<2762>"). [assumption]. 470 K(x * y,z) * x = x * K(y * x,z) # label("p9loop 0 199 ID<14092>"). [assumption]. 471 K(x * y,z) * y = y * K(y * x,z) # label("p9loop 0 200 ID<13932>"). [assumption]. 472 K(x * y,z) * (y * x) = T(y * x,T(z,x)) # label("p9loop 0 201 ID<1567>"). [assumption]. 474 K(x * (y / x),z) = K(y,T(z,x)) # label("p9loop 0 203 ID<1538>"). [assumption]. 475 K(x * y,T(z,x)) = K(y * x,z) # label("p9loop 0 204 ID<2793>"). [assumption]. 477 T(x,T(y * z,y)) = T(x,z * y) # label("p9loop 0 206 ID<4889>"). [assumption]. 478 K(x,y * (z / y)) = K(x,T(z,y)) # label("p9loop 0 207 ID<17111>"). [assumption]. 482 K(x,T(y * z,z)) = K(x,z * y) # label("p9loop 0 211 ID<1551>"). [assumption]. 483 K(x / y,y * z) = K(y \ x,z * y) # label("p9loop 0 212 ID<17785>"). [assumption]. 487 K(x / y,z * y) = K(y \ x,y * z) # label("p9loop 0 216 ID<17868>"). [assumption]. 488 K(x,T(y * z,y)) = K(x,z * y) # label("p9loop 0 217 ID<10717>"). [assumption]. 489 T(x,y) * K(z,x * u) = K(z,u * x) * T(x,y) # label("p9loop 0 218 ID<18456>"). [assumption]. 490 K(x,y * z) * z = z * K(x,z * y) # label("p9loop 0 219 ID<18623>"). [assumption]. 492 (x / y) \ x = y # label("p9loop 0 221 ID<292>"). [assumption]. 493 K(x,K(x,y)) = 1 # label("p9loop 0 222 ID<703>"). [assumption]. 494 T(x,K(x,y)) = x # label("p9loop 0 223 ID<1168>"). [assumption]. 495 T(x,T(x,y)) = x # label("p9loop 0 224 ID<1974>"). [assumption]. 496 K(x,T(x,y)) = 1 # label("p9loop 0 225 ID<3200>"). [assumption]. 497 L(x,y,z * z) = x # label("p9loop 0 226 ID<281>"). [assumption]. 502 x * T(y,x) = y * x # label("p9loop 0 231 ID<339>"). [assumption]. 503 T(x / y,y) = y \ x # label("p9loop 0 232 ID<341>"). [assumption]. 507 x != y | z != y | x = z # label("p9loop 0 236 ID<435>"). [assumption]. 508 L(x,a(y,z,y),u) = x # label("p9loop 0 237 ID<555>"). [assumption]. 510 T(x,y) / x = K(x,y) # label("p9loop 0 239 ID<718>"). [assumption]. 511 (x * y) / T(x,y) = y # label("p9loop 0 240 ID<907>"). [assumption]. 512 L(x,y,z) * (x \ u) = (u / x) * L(x,y,z) # label("p9loop 0 241 ID<19665>"). [assumption]. 513 ((x * y) / x) * L(x,z,u) = L(x,z,u) * y # label("p9loop 0 242 ID<20802>"). [assumption]. 514 T(x / R(y,z,u),y) = R(y,z,u) \ x # label("p9loop 0 243 ID<19687>"). [assumption]. 517 (x / y) \ (L(y,z,u) * (y \ x)) = L(y,z,u) # label("p9loop 0 246 ID<20801>"). [assumption]. 521 T(x,y * (z / y)) = T(x,T(z,y)) # label("p9loop 0 250 ID<4892>"). [assumption]. 522 K(x,y * z) * T(x,z) = T(T(x,z),z * y) # label("p9loop 0 251 ID<4888>"). [assumption]. 525 T(x,y) \ K(z,x) = T(x,z) \ K(y,x) # label("p9loop 0 254 ID<4521>"). [assumption]. 532 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)) # label("p9loop 0 261 ID<22875>"). [assumption]. 535 T(x * K(y,z * x),K(y,z)) = x * K(y,x * z) # label("p9loop 0 264 ID<18738>"). [assumption]. 546 T(K(x,y) \ z,K(x,y)) = z / K(x,y) # label("p9loop 0 275 ID<1390>"). [assumption]. 548 K(x \ y,x) * T(y / x,z) = T(x \ y,T(z,x)) # label("p9loop 0 277 ID<4487>"). [assumption]. 556 T(x * y,T(z,y)) = T(x * y,T(z,x)) # label("p9loop 0 285 ID<16860>"). [assumption]. 563 K(x,T(y * K(z,y),u)) = K(x,T(T(y,z),u)) # label("p9loop 0 292 ID<1507>"). [assumption]. 567 K(x,T(T(y \ z,y),u)) = K(x,T(z / y,u)) # label("p9loop 0 296 ID<26999>"). [assumption]. 589 T(x,y * K(z,K(u,w) * v5)) = T(x,y * K(z,v5)) # label("p9loop 0 318 ID<30409>"). [assumption]. 590 T(x,T(y,z * K(u,w)) \ v5) = T(x,T(y,z) \ v5) # label("p9loop 0 319 ID<30554>"). [assumption]. 591 K(K(K(x,y) * z,u) * w,v5) = K(w * K(u,z),v5) # label("p9loop 0 320 ID<30776>"). [assumption]. 592 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5) # label("p9loop 0 321 ID<30419>"). [assumption]. 595 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)) # label("p9loop 0 324 ID<30274>"). [assumption]. 597 K(x,K(y,z * T(u,w))) = K(x,K(y,z * u)) # label("p9loop 0 326 ID<29756>"). [assumption]. 602 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)) # label("p9loop 0 331 ID<31672>"). [assumption]. 604 K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)) # label("p9loop 0 333 ID<29957>"). [assumption]. 605 K(x * T(y,T(z,u)),w) = K(x * T(y,z),w) # label("p9loop 0 334 ID<31923>"). [assumption]. 606 K(x,T(y / z,u \ (z \ y))) = K(x,T(y / z,u)) # label("p9loop 0 335 ID<29694>"). [assumption]. 612 T(x,y) \ x = K(y,x) # label("p9loop 0 341 ID<1041>"). [assumption]. 614 K(x,T(y,x)) = K(x,y) # label("p9loop 0 343 ID<1238>"). [assumption]. 615 T(T(x,y),x) = T(x,y) # label("p9loop 0 344 ID<1581>"). [assumption]. 621 K(x \ y,y / x) = 1 # label("p9loop 0 350 ID<19331>"). [assumption]. 626 R(x * x,y,z) = x * x # label("p9loop 0 355 ID<324>"). [assumption]. 627 T(x,x * x) = L(x,x,x) # label("p9loop 0 356 ID<342>"). [assumption]. 628 x * y != z | x \ z = y # label("p9loop 0 357 ID<496>"). [assumption]. 639 T(x,K(y,z) / u) = T(x,u \ K(y,z)) # label("p9loop 0 368 ID<34308>"). [assumption]. 640 K(x,T(y,z)) * K(y,x) = K(x,K(y,z)) # label("p9loop 0 369 ID<19703>"). [assumption]. 641 K(x * y,z) * K(z,y * x) = K(x,K(y,z)) # label("p9loop 0 370 ID<34528>"). [assumption]. 649 K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)) # label("p9loop 0 378 ID<35505>"). [assumption]. 650 T(K(x,y \ 1) * z,K(x,y)) = z * K(x,y \ 1) # label("p9loop 0 379 ID<35344>"). [assumption]. 659 T(x,K(y,z \ x)) = T(x,K(y,z)) # label("p9loop 0 388 ID<36818>"). [assumption]. 662 T(x,T(y \ z,z)) = T(x,z / y) # label("p9loop 0 391 ID<26643>"). [assumption]. 664 T(x,a(y,z,u) / w) = T(x,w \ a(y,z,u)) # label("p9loop 0 393 ID<37360>"). [assumption]. 671 ((x * y) * z) / (x * (y * z)) = a(x,y,z) # label("p9loop 0 400 ID<38210>"). [assumption]. 672 (x * y) / (z * ((z \ x) * y)) = a(z,z \ x,y) # label("p9loop 0 401 ID<38376>"). [assumption]. 674 x * ((x \ y) * K(z,u)) = y * K(z,u) # label("p9loop 0 403 ID<38704>"). [assumption]. 676 K(x,y) * L(z,u,w) = L(K(x,y) * z,u,w) # label("p9loop 0 405 ID<41348>"). [assumption]. 677 L(x,y,z) * K(u,w) = L(x * K(u,w),y,z) # label("p9loop 0 406 ID<41016>"). [assumption]. 679 x \ (y * K(z,u)) = (x \ y) * K(z,u) # label("p9loop 0 408 ID<38926>"). [assumption]. 680 x \ L(y * K(z,u),w,v5) = (x \ L(y,w,v5)) * K(z,u) # label("p9loop 0 409 ID<41920>"). [assumption]. 681 (x \ L(y,z,u)) * K(y,w) = x \ L(T(y,w),z,u) # label("p9loop 0 410 ID<42296>"). [assumption]. 682 (x * y) * K(z,u) = x * (y * K(z,u)) # label("p9loop 0 411 ID<38952>"). [assumption]. 683 x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w) # label("p9loop 0 412 ID<42773>"). [assumption]. 684 x \ (y * (z * (u * K(w,v5)))) = (x \ (y * (z * u))) * K(w,v5) # label("p9loop 0 413 ID<43192>"). [assumption]. 685 (x \ (y * z)) * K(z,u) = x \ (y * T(z,u)) # label("p9loop 0 414 ID<43105>"). [assumption]. 686 x \ (y * T(y \ z,u)) = (x \ z) * K(y \ z,u) # label("p9loop 0 415 ID<43417>"). [assumption]. 707 (x \ y) * K(z,z \ y) = x \ (z * (y / z)) # label("p9loop 0 436 ID<41853>"). [assumption]. 708 x \ (y / (y / z)) = (x \ z) * K(z \ y,z) # label("p9loop 0 437 ID<39564>"). [assumption]. 710 x \ ((y * z) / y) = (x \ z) * K(y,z) # label("p9loop 0 439 ID<39566>"). [assumption]. 711 T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))) # label("p9loop 0 440 ID<42596>"). [assumption]. 713 K(x,y * (K(z,y) * u)) = K(x,T(y,z) * u) # label("p9loop 0 442 ID<49177>"). [assumption]. 720 T(x,y * (K(z,u) * w)) = T(x,y * (w * K(u,z))) # label("p9loop 0 449 ID<50319>"). [assumption]. 728 T(x * (y * K(z,u)),K(z,u)) = K(z,u) * (x * y) # label("p9loop 0 457 ID<42607>"). [assumption]. 730 L(K(x,y) * z,u,w) * v5 = K(x,y) * (L(z,u,w) * v5) # label("p9loop 0 459 ID<52623>"). [assumption]. 731 (x \ (y * z)) * (K(z,u) * w) = (x \ (y * T(z,u))) * w # label("p9loop 0 460 ID<52630>"). [assumption]. 732 x * y != z | z / y = x # label("p9loop 0 461 ID<507>"). [assumption]. 735 x \ y != z | x * z = y # label("p9loop 0 464 ID<531>"). [assumption]. 737 x / y != z | z \ x = y # label("p9loop 0 466 ID<10394>"). [assumption]. 738 x \ y != z | y / z = x # label("p9loop 0 467 ID<19154>"). [assumption]. 741 T(x,x \ y) = (x \ y) \ y # label("p9loop 0 470 ID<340>"). [assumption]. 742 (x \ 1) * x = K(x \ 1,x) # label("p9loop 0 471 ID<411>"). [assumption]. 744 x != y | z * x != y | 1 = z # label("p9loop 0 473 ID<445>"). [assumption]. 748 x \ ((y * x) / y) = K(y,x) # label("p9loop 0 477 ID<652>"). [assumption]. 749 T(x,K(y,z)) = T(x,K(z,y)) # label("p9loop 0 478 ID<710>"). [assumption]. 750 T(x * x,K(y,z)) = x * x # label("p9loop 0 479 ID<800>"). [assumption]. 752 K(x,y) * (L(x,z,u) * w) = L(T(x,y),z,u) * w # label("p9loop 0 481 ID<53714>"). [assumption]. 753 L(T(x,y),z,u) * (L(x,z,u) \ w) = K(x,y) * w # label("p9loop 0 482 ID<57051>"). [assumption]. 754 L(x \ y,z,u) * (L(y / x,z,u) \ w) = K(x \ y,x) * w # label("p9loop 0 483 ID<57373>"). [assumption]. 755 L(x,y,z) * (K(x,u) * w) = L(T(x,u),y,z) * w # label("p9loop 0 484 ID<57042>"). [assumption]. 756 (x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w) # label("p9loop 0 485 ID<52627>"). [assumption]. 757 (x * y) * (K(y,z) * u) = (x * T(y,z)) * u # label("p9loop 0 486 ID<54031>"). [assumption]. 758 (x * T(y,z)) * (K(z,y) * u) = (x * y) * u # label("p9loop 0 487 ID<58043>"). [assumption]. 759 a(x,y,z) \ u != w | w * a(x,y,z) = u # label("p9loop 0 488 ID<54405>"). [assumption]. 761 x \ (K(y,z) * (u * x)) = T(K(y,z) * u,x) # label("p9loop 0 490 ID<59246>"). [assumption]. 762 (K(x,y) * z) / u = K(x,y) * (z / u) # label("p9loop 0 491 ID<59231>"). [assumption]. 763 (x * K(y,z)) * u = x * (K(y,z) * u) # label("p9loop 0 492 ID<52486>"). [assumption]. 764 a(x * K(y,z),u,w) = a(x,K(y,z) * u,w) # label("p9loop 0 493 ID<59895>"). [assumption]. 765 L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)) # label("p9loop 0 494 ID<59901>"). [assumption]. 769 K(x,y) * R(z,u,w) = R(K(x,y) * z,u,w) # label("p9loop 0 498 ID<61137>"). [assumption]. 770 R(x,y,z) * K(u,w) = R(x * K(u,w),y,z) # label("p9loop 0 499 ID<61367>"). [assumption]. 772 R(x * K(y,z),u,w) * v5 = R(x,u,w) * (K(y,z) * v5) # label("p9loop 0 501 ID<61591>"). [assumption]. 773 x \ R(y * K(z,u),w,v5) = (x \ R(y,w,v5)) * K(z,u) # label("p9loop 0 502 ID<61570>"). [assumption]. 774 (x * K(y,z)) \ u = K(z,y) * (x \ u) # label("p9loop 0 503 ID<60094>"). [assumption]. 775 a(x,y,z * K(u,w)) = a(x,y,z) # label("p9loop 0 504 ID<62128>"). [assumption]. 776 a(x,y,z \ L(T(u,w),v5,v6)) = a(x,y,z \ L(u,v5,v6)) # label("p9loop 0 505 ID<62397>"). [assumption]. 777 a(x,y,z \ T(u,w)) = a(x,y,z \ u) # label("p9loop 0 506 ID<62638>"). [assumption]. 778 a(x,y,z \ (u / w)) = a(x,y,z \ (w \ u)) # label("p9loop 0 507 ID<62665>"). [assumption]. 779 a(x,y,z \ (u * w)) = a(x,y,z \ (w * u)) # label("p9loop 0 508 ID<62672>"). [assumption]. 780 a(x,y,(z * u) \ ((u * w) * z)) = a(x,y,L(w,u,z)) # label("p9loop 0 509 ID<62734>"). [assumption]. 781 a(x,y,L(T(z,u),w,v5) * v6) = a(x,y,L(z,w,v5) * v6) # label("p9loop 0 510 ID<62946>"). [assumption]. 782 a(x,y,L(z / u,w,v5) * v6) = a(x,y,L(u \ z,w,v5) * v6) # label("p9loop 0 511 ID<62977>"). [assumption]. 783 a(x,y,L(z / u,w,v5)) = a(x,y,L(u \ z,w,v5)) # label("p9loop 0 512 ID<63007>"). [assumption]. 784 a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5) # label("p9loop 0 513 ID<62788>"). [assumption]. 785 a(x,y,(z / u) * w) = a(x,y,(u \ z) * w) # label("p9loop 0 514 ID<63024>"). [assumption]. 786 a(x,y,z * (u / w)) = a(x,y,z * (w \ u)) # label("p9loop 0 515 ID<63117>"). [assumption]. 787 a(x,y,z * ((u \ w) \ w)) = a(x,y,z * u) # label("p9loop 0 516 ID<63148>"). [assumption]. 788 a(x,y,((z \ u) \ u) * w) = a(x,y,z * w) # label("p9loop 0 517 ID<63113>"). [assumption]. 789 a(x,y,T(z,u) * w) = a(x,y,z * w) # label("p9loop 0 518 ID<62984>"). [assumption]. 790 a(x,y,(z \ u) * z) = a(x,y,u) # label("p9loop 0 519 ID<63096>"). [assumption]. 791 a(x,y,z * (u * (w * K(v5,v6)))) = a(x,y,z * (u * w)) # label("p9loop 0 520 ID<63288>"). [assumption]. 792 a(x,y,z * (u * (K(w,v5) * v6))) = a(x,y,z * (u * v6)) # label("p9loop 0 521 ID<63312>"). [assumption]. 793 a(x,y,z * (u * (w / v5))) = a(x,y,z * (u * (v5 \ w))) # label("p9loop 0 522 ID<63392>"). [assumption]. 794 a(x,y,(z * (K(u,w) * v5)) * v6) = a(x,y,(z * v5) * v6) # label("p9loop 0 523 ID<63398>"). [assumption]. 795 a(x,y,z * (u * T(w,v5))) = a(x,y,z * (u * w)) # label("p9loop 0 524 ID<63307>"). [assumption]. 796 a(x,y,z * (u * w)) = a(x,y,z * (w * u)) # label("p9loop 0 525 ID<63328>"). [assumption]. 797 a(x,y,(z \ (u * T(w,v5))) * v6) = a(x,y,(z \ (u * w)) * v6) # label("p9loop 0 526 ID<63592>"). [assumption]. 798 a(x,y,(z \ (T(u,w) * v5)) * v6) = a(x,y,(z \ (u * v5)) * v6) # label("p9loop 0 527 ID<63626>"). [assumption]. 799 a(x,y,(z \ (u * (w / v5))) * v6) = a(x,y,(z \ (u * (v5 \ w))) * v6) # label("p9loop 0 528 ID<63623>"). [assumption]. 800 a(x,y,(z \ (u / w)) * v5) = a(x,y,(z \ (w \ u)) * v5) # label("p9loop 0 529 ID<63690>"). [assumption]. 801 a(x,y,(z \ T(u,w)) * v5) = a(x,y,(z \ u) * v5) # label("p9loop 0 530 ID<63603>"). [assumption]. 802 a(x,y,(T(z,u) * w) * v5) = a(x,y,(z * w) * v5) # label("p9loop 0 531 ID<63682>"). [assumption]. 804 a(x,y,(z * u) * w) = a(x,y,(u * z) * w) # label("p9loop 0 533 ID<63472>"). [assumption]. 805 a(x,y,(z * u) * w) = a(x,y,w * (u * z)) # label("p9loop 0 534 ID<63870>"). [assumption]. 806 a(x,y,(z * z) * ((u * w) * v5)) = a(x,y,v5 * (w * ((z * z) * u))) # label("p9loop 0 535 ID<63938>"). [assumption]. 807 a(x,y,z * (K(u,w) * v5)) = a(x,y,z * v5) # label("p9loop 0 536 ID<63318>"). [assumption]. 808 a(x,y,L(z,u,w) * (w * u)) = a(x,y,w * (u * z)) # label("p9loop 0 537 ID<63273>"). [assumption]. 809 a(x,y,z * u) = a(x,y,u * z) # label("p9loop 0 538 ID<62785>"). [assumption]. 810 a(x,y,z * T(u,w)) = a(x,y,z * u) # label("p9loop 0 539 ID<63133>"). [assumption]. 811 a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)) # label("p9loop 0 540 ID<62639>"). [assumption]. 812 a(x,y,(z \ u) \ u) = a(x,y,z) # label("p9loop 0 541 ID<62689>"). [assumption]. 813 a(x,y,z / u) = a(x,y,u \ z) # label("p9loop 0 542 ID<62706>"). [assumption]. 814 a(x,y,T(z,u)) = a(x,y,z) # label("p9loop 0 543 ID<62385>"). [assumption]. 815 a(x,y,K(z,u) * w) = a(x,y,w) # label("p9loop 0 544 ID<62389>"). [assumption]. 816 a(x,T(y,z),u) = a(x,y,u) # label("p9loop 0 545 ID<62491>"). [assumption]. 817 a(x,y \ z,y) * (x * z) = (x * (z / y)) * y # label("p9loop 0 546 ID<64405>"). [assumption]. 818 a(x,y / z,u) = a(x,z \ y,u) # label("p9loop 0 547 ID<64386>"). [assumption]. 819 a(x,y \ (K(z,u) * w),v5) = a(x,y \ w,v5) # label("p9loop 0 548 ID<64778>"). [assumption]. 820 a(x,y \ T(z,u),w) = a(x,y \ z,w) # label("p9loop 0 549 ID<64787>"). [assumption]. 821 a(x \ (y * T(z,u)),w,v5) = a(x \ (y * z),w,v5) # label("p9loop 0 550 ID<62557>"). [assumption]. 822 a(x \ (y * (z / u)),w,v5) = a(x \ (y * (u \ z)),w,v5) # label("p9loop 0 551 ID<64976>"). [assumption]. 823 a(x * (y / z),u,w) = a(x * (z \ y),u,w) # label("p9loop 0 552 ID<65046>"). [assumption]. 824 a(x * ((y \ z) \ z),u,w) = a(x * y,u,w) # label("p9loop 0 553 ID<65110>"). [assumption]. 825 a(x * y,z,u) = a(y * x,z,u) # label("p9loop 0 554 ID<65152>"). [assumption]. 826 a(x * (y * T(z,u)),w,v5) = a(x * (y * z),w,v5) # label("p9loop 0 555 ID<65251>"). [assumption]. 827 a(x * (y * (z / u)),w,v5) = a(x * (y * (u \ z)),w,v5) # label("p9loop 0 556 ID<65283>"). [assumption]. 828 a((x * (y / z)) * u,w,v5) = a((x * (z \ y)) * u,w,v5) # label("p9loop 0 557 ID<65347>"). [assumption]. 829 a(x * (y * z),u,w) = a(x * (z * y),u,w) # label("p9loop 0 558 ID<65284>"). [assumption]. 832 a((x / y) * z,u,w) = a((y \ x) * z,u,w) # label("p9loop 0 561 ID<65258>"). [assumption]. 833 a((x \ (K(y,z) * u)) * w,v5,v6) = a((x \ u) * w,v5,v6) # label("p9loop 0 562 ID<65533>"). [assumption]. 834 a((x \ (y * z)) * u,w,v5) = a((x \ (z * y)) * u,w,v5) # label("p9loop 0 563 ID<65551>"). [assumption]. 835 a((x \ (y / z)) * u,w,v5) = a((x \ (z \ y)) * u,w,v5) # label("p9loop 0 564 ID<65561>"). [assumption]. 836 a((x \ (y \ (K(z,u) * w))) * v5,v6,v7) = a((x \ (y \ w)) * v5,v6,v7) # label("p9loop 0 565 ID<65710>"). [assumption]. 837 a((x \ (y \ (z / u))) * w,v5,v6) = a((x \ (y \ (u \ z))) * w,v5,v6) # label("p9loop 0 566 ID<65738>"). [assumption]. 838 a((x \ (y \ T(z,u))) * w,v5,v6) = a((x \ (y \ z)) * w,v5,v6) # label("p9loop 0 567 ID<65722>"). [assumption]. 839 a(x \ (y \ (z / u)),w,v5) = a(x \ (y \ (u \ z)),w,v5) # label("p9loop 0 568 ID<65753>"). [assumption]. 840 a(x \ (y \ (z \ (K(u,w) * v5))),v6,v7) = a(x \ (y \ (z \ v5)),v6,v7) # label("p9loop 0 569 ID<65850>"). [assumption]. 841 a(x \ (y \ (K(z,u) * w)),v5,v6) = a(x \ (y \ w),v5,v6) # label("p9loop 0 570 ID<65714>"). [assumption]. 842 a(x \ (y \ T(z,u)),w,v5) = a(x \ (y \ z),w,v5) # label("p9loop 0 571 ID<65788>"). [assumption]. 844 a(x \ (K(y,z) * u),w,v5) = a(x \ u,w,v5) # label("p9loop 0 573 ID<65537>"). [assumption]. 845 a(T(x,y) * z,u,w) = a(x * z,u,w) # label("p9loop 0 574 ID<65282>"). [assumption]. 847 a(x \ T(y,z),u,w) = a(x \ y,u,w) # label("p9loop 0 576 ID<64959>"). [assumption]. 848 a(x * T(y,z),u,w) = a(x * y,u,w) # label("p9loop 0 577 ID<62554>"). [assumption]. 849 a((x \ y) \ y,z,u) = a(x,z,u) # label("p9loop 0 578 ID<65129>"). [assumption]. 850 a(x / y,z,u) = a(y \ x,z,u) # label("p9loop 0 579 ID<65025>"). [assumption]. 851 a(T(x,y),z,u) = a(x,z,u) # label("p9loop 0 580 ID<62546>"). [assumption]. 853 K(T(x,y),z) = K(x,T(z,y)) # label("p9loop 0 582 ID<1273>"). [assumption]. 856 T(x,y) * x = x * T(x,y) # label("p9loop 0 585 ID<1856>"). [assumption]. 859 x * (1 / x) = K(x,x \ 1) # label("p9loop 0 588 ID<2085>"). [assumption]. 861 K(x,y) * y = y * K(x,y) # label("p9loop 0 590 ID<2355>"). [assumption]. 863 x / T(y,y \ x) = y \ x # label("p9loop 0 592 ID<2519>"). [assumption]. 864 K(x / y,y) = K(y \ x,y) # label("p9loop 0 593 ID<2662>"). [assumption]. 865 x \ K(x,x \ 1) = 1 / x # label("p9loop 0 594 ID<2688>"). [assumption]. 866 T(K(x,y),z) = K(x,T(y,z)) # label("p9loop 0 595 ID<2873>"). [assumption]. 868 T(x / (x / y),y \ x) = y # label("p9loop 0 597 ID<3407>"). [assumption]. 869 T(x,y / x) = T(x,x \ y) # label("p9loop 0 598 ID<3626>"). [assumption]. 870 T(x * y,K(x,y)) = x * y # label("p9loop 0 599 ID<3915>"). [assumption]. 872 L(x,y * K(z,u),w) = L(x,y,w) # label("p9loop 0 601 ID<62129>"). [assumption]. 873 a(x,y,z * ((u / w) * v5)) = a(x,y,z * ((w \ u) * v5)) # label("p9loop 0 602 ID<70146>"). [assumption]. 874 L(x,y * (z * K(u,w)),v5) = L(x,y * z,v5) # label("p9loop 0 603 ID<69980>"). [assumption]. 875 L(x,y * z,u) = L(x,z * y,u) # label("p9loop 0 604 ID<70117>"). [assumption]. 876 L(x,(y \ z) * y,u) = L(x,z,u) # label("p9loop 0 605 ID<70271>"). [assumption]. 877 L(x,L(y,z,u) * (u * z),w) = L(x,u * (z * y),w) # label("p9loop 0 606 ID<70325>"). [assumption]. 878 L(x,y * (z / u),w) = L(x,y * (u \ z),w) # label("p9loop 0 607 ID<70388>"). [assumption]. 879 L(x,y * T(z,u),w) = L(x,y * z,w) # label("p9loop 0 608 ID<70215>"). [assumption]. 880 L(x,L(T(y,z),u,w),v5) = L(x,L(y,u,w),v5) # label("p9loop 0 609 ID<70077>"). [assumption]. 881 L(x,y / z,u) = L(x,z \ y,u) # label("p9loop 0 610 ID<70020>"). [assumption]. 882 L(x,(y \ z) \ z,u) = L(x,y,u) # label("p9loop 0 611 ID<70498>"). [assumption]. 883 L(x,T(y,z),u) = L(x,y,u) # label("p9loop 0 612 ID<69968>"). [assumption]. 884 L(x,y,z * K(u,w)) = L(x,y,z) # label("p9loop 0 613 ID<69971>"). [assumption]. 885 L(x,y,z \ L(T(u,w),v5,v6)) = L(x,y,z \ L(u,v5,v6)) # label("p9loop 0 614 ID<70542>"). [assumption]. 888 L(x,y,z * (K(u,w) * v5)) = L(x,y,z * v5) # label("p9loop 0 617 ID<70690>"). [assumption]. 889 L(x,y,z * (u / w)) = L(x,y,z * (w \ u)) # label("p9loop 0 618 ID<70742>"). [assumption]. 890 L(x,y,K(z,u) * w) = L(x,y,w) # label("p9loop 0 619 ID<70535>"). [assumption]. 891 R(x * K(y,z),u,w) \ v5 = K(z,y) * (R(x,u,w) \ v5) # label("p9loop 0 620 ID<62017>"). [assumption]. 893 (x * (y * K(z,u))) \ w = K(u,z) * ((x * y) \ w) # label("p9loop 0 622 ID<62033>"). [assumption]. 894 K(x,y) * ((z * T(x,y)) \ u) = (z * x) \ u # label("p9loop 0 623 ID<71223>"). [assumption]. 895 L(x,(y * T(z,u)) \ w,v5) = L(x,(y * z) \ w,v5) # label("p9loop 0 624 ID<71725>"). [assumption]. 896 K(x,y) * ((z * y) \ u) = (z * T(y,x)) \ u # label("p9loop 0 625 ID<71219>"). [assumption]. 897 K(x,y) * ((y \ z) * u) = (T(y,x) \ z) * u # label("p9loop 0 626 ID<62138>"). [assumption]. 898 a((T(x,y) \ z) * u,w,v5) = a((x \ z) * u,w,v5) # label("p9loop 0 627 ID<72802>"). [assumption]. 899 a(T(x,y) \ z,u,w) = a(x \ z,u,w) # label("p9loop 0 628 ID<72941>"). [assumption]. 900 a((x / y) \ z,u,w) = a((y \ x) \ z,u,w) # label("p9loop 0 629 ID<72964>"). [assumption]. 901 L(x,(T(y,z) \ u) * w,v5) = L(x,(y \ u) * w,v5) # label("p9loop 0 630 ID<72821>"). [assumption]. 902 L(x,((y / z) \ u) * w,v5) = L(x,((z \ y) \ u) * w,v5) # label("p9loop 0 631 ID<73017>"). [assumption]. 903 L(x,(y / z) \ u,w) = L(x,(z \ y) \ u,w) # label("p9loop 0 632 ID<73041>"). [assumption]. 905 L(x,((y \ z) \ z) \ u,w) = L(x,y \ u,w) # label("p9loop 0 634 ID<73090>"). [assumption]. 906 (T(x,y) \ z) * T(u,x \ z) = K(y,x) * (u * (x \ z)) # label("p9loop 0 635 ID<72613>"). [assumption]. 907 a(x,y,z * (u \ (w * (v5 / v6)))) = a(x,y,z * (u \ (w * (v6 \ v5)))) # label("p9loop 0 636 ID<73351>"). [assumption]. 908 a(x,y,z * (u \ (w / v5))) = a(x,y,z * (u \ (v5 \ w))) # label("p9loop 0 637 ID<73352>"). [assumption]. 909 a(x,y,T(z,u) \ w) = a(x,y,z \ w) # label("p9loop 0 638 ID<73353>"). [assumption]. 910 a(x,y,(z / u) \ w) = a(x,y,(u \ z) \ w) # label("p9loop 0 639 ID<73464>"). [assumption]. 911 T(x,y) * ((T(x,y) \ z) * u) = x * ((x \ z) * u) # label("p9loop 0 640 ID<73384>"). [assumption]. 912 K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u # label("p9loop 0 641 ID<72381>"). [assumption]. 913 L(x,y,(y * x) \ z) = ((z / (y * x)) * y) \ z # label("p9loop 0 642 ID<70824>"). [assumption]. 915 L(x \ y,x,y \ z) = ((z / y) * x) \ z # label("p9loop 0 644 ID<74025>"). [assumption]. 916 ((x \ y) * z) \ ((x \ y) * x) = ((y / x) * z) \ y # label("p9loop 0 645 ID<74516>"). [assumption]. 918 (((x * y) / x) * z) \ (x * y) = (y * z) \ (y * x) # label("p9loop 0 647 ID<75432>"). [assumption]. 919 L(x,y,z / u) = L(x,y,u \ z) # label("p9loop 0 648 ID<70761>"). [assumption]. 920 L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5) # label("p9loop 0 649 ID<76954>"). [assumption]. 921 L(x,y,z \ (u / w)) = L(x,y,z \ (w \ u)) # label("p9loop 0 650 ID<76976>"). [assumption]. 922 L(x,y,(z \ u) \ u) = L(x,y,z) # label("p9loop 0 651 ID<76953>"). [assumption]. 923 (K(x,y) * z) \ u = z \ (K(y,x) * u) # label("p9loop 0 652 ID<74776>"). [assumption]. 924 L(K(x,y) * z,u,w) \ v5 = L(z,u,w) \ (K(y,x) * v5) # label("p9loop 0 653 ID<77053>"). [assumption]. 925 L(R(K(x,y) * z,u,w),v5,v6) \ v7 = L(R(z,u,w),v5,v6) \ (K(y,x) * v7) # label("p9loop 0 654 ID<77322>"). [assumption]. 927 L(x,y,T(z,u)) = L(x,y,z) # label("p9loop 0 656 ID<70532>"). [assumption]. 928 (K(x,y) * z) * u = K(x,y) * (z * u) # label("p9loop 0 657 ID<52485>"). [assumption]. 929 x * T(y,K(z,u) * x) = T(y,K(u,z)) * x # label("p9loop 0 658 ID<66974>"). [assumption]. 930 x * T(y,K(z,u) * x) = T(y,K(z,u)) * x. [copy(929),rewrite([749(6)])]. 931 T(x,K(y,z)) * T(u,K(y,z)) = T(x * u,K(y,z)) # label("p9loop 0 659 ID<77682>"). [assumption]. 932 K(x,y) * (z * (K(y,x) * u)) = T(z,K(x,y)) * u # label("p9loop 0 660 ID<56228>"). [assumption]. 933 (x * (K(y,z) * u)) \ (K(y,z) * w) = (T(x,K(y,z)) * u) \ w # label("p9loop 0 661 ID<78203>"). [assumption]. 935 a(x,(y * (K(z,u) * w)) \ v5,v6) = a(x,(y * w) \ v5,v6) # label("p9loop 0 663 ID<78631>"). [assumption]. 936 a(x,((T(y,z) \ u) * w) \ v5,v6) = a(x,((y \ u) * w) \ v5,v6) # label("p9loop 0 664 ID<78707>"). [assumption]. 938 a(x,(y * (z / u)) \ w,v5) = a(x,(y * (u \ z)) \ w,v5) # label("p9loop 0 666 ID<78635>"). [assumption]. 939 a(x,(y * T(z,u)) \ w,v5) = a(x,(y * z) \ w,v5) # label("p9loop 0 667 ID<78583>"). [assumption]. 940 a(x,T(y,z) \ u,w) = a(x,y \ u,w) # label("p9loop 0 668 ID<78782>"). [assumption]. 943 K(x,y) * (T(z,K(x,y)) * u) = z * (K(x,y) * u) # label("p9loop 0 671 ID<66392>"). [assumption]. 944 L(x / y,z,u) \ (L(y \ x,z,u) * w) = K(y \ x,y) * w # label("p9loop 0 672 ID<79490>"). [assumption]. 945 (x * (K(y,z) * u)) / (x * u) = K(y,T(z,x)) # label("p9loop 0 673 ID<61145>"). [assumption]. 949 K(T(x,y) / z,T(u,y)) = K(x / T(z,y),u) # label("p9loop 0 677 ID<82695>"). [assumption]. 951 K(x / (y \ z),T(u,y)) = K((y * x) / z,u) # label("p9loop 0 679 ID<82492>"). [assumption]. 952 K((x \ y) \ z,u) = K(y \ (x * z),u) # label("p9loop 0 680 ID<83459>"). [assumption]. 966 K(x,(y * z) / (y * u)) = K(x,T(z / u,y)) # label("p9loop 0 694 ID<81078>"). [assumption]. 969 K(x,(y / z) / u) = K(x,y / (u * z)) # label("p9loop 0 697 ID<89219>"). [assumption]. 976 T(x,y * x) = T(x,x * y) # label("p9loop 0 704 ID<4887>"). [assumption]. 977 T(x \ y,y / x) = x \ y # label("p9loop 0 705 ID<4958>"). [assumption]. 978 L(x,y * y,a(z,u,w)) = x # label("p9loop 0 706 ID<5917>"). [assumption]. 979 K(1 / x,y) = K(x \ 1,y) # label("p9loop 0 707 ID<10306>"). [assumption]. 980 K(x * y,y) = K(y * x,y) # label("p9loop 0 708 ID<10337>"). [assumption]. 981 K(x / y,x) = K(y \ x,x) # label("p9loop 0 709 ID<10342>"). [assumption]. 991 K(x,y * x) = K(x,x * y) # label("p9loop 0 719 ID<19183>"). [assumption]. 992 T(x * y,y * x) = x * y # label("p9loop 0 720 ID<19275>"). [assumption]. 999 T(x,(y \ z) \ u) = T(x,z \ (y * u)) # label("p9loop 0 727 ID<92893>"). [assumption]. 1006 (x * (L(x,y,z) \ u)) / u = u \ (x * (L(x,y,z) \ u)) # label("p9loop 0 734 ID<96817>"). [assumption]. 1007 T(x,(y * z) \ u) = T(x,z \ (y \ u)) # label("p9loop 0 735 ID<96064>"). [assumption]. 1009 T(L(x,y,z) \ 1,x \ 1) = L(x,y,z) \ 1 # label("p9loop 0 737 ID<97256>"). [assumption]. 1010 K(x,(y * z) \ u) = K(x,z \ (y \ u)) # label("p9loop 0 738 ID<92235>"). [assumption]. 1011 T(x,y \ (T(z,u * K(w,v5)) \ v6)) = T(x,y \ (T(z,u) \ v6)) # label("p9loop 0 739 ID<93046>"). [assumption]. 1013 a(x,y,z) \ (K(u,w) * v5) = K(u,w) * (a(x,y,z) \ v5) # label("p9loop 0 741 ID<59253>"). [assumption]. 1014 K(x,T(y,z)) * (z * u) = z * (K(x,y) * u) # label("p9loop 0 742 ID<79850>"). [assumption]. 1019 K(x \ (T(y,x) \ z),u) = K(y \ (x \ z),u) # label("p9loop 0 747 ID<82227>"). [assumption]. 1021 K(x \ ((y / x) \ z),u) = K(y \ z,u) # label("p9loop 0 749 ID<99923>"). [assumption]. 1023 T(x,T(y,z) \ (z \ u)) = T(x,z \ (y \ u)) # label("p9loop 0 751 ID<96932>"). [assumption]. 1025 K(x,T(y,z) \ (z \ u)) = K(x,z \ (y \ u)) # label("p9loop 0 753 ID<97455>"). [assumption]. 1035 K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z * w))) # label("p9loop 0 763 ID<80469>"). [assumption]. 1041 K(x / T(y \ z,z),u) = K((x * y) / z,u) # label("p9loop 0 769 ID<103465>"). [assumption]. 1043 K(x / T(y,z * y),u) = K(x / T(y,z),u) # label("p9loop 0 771 ID<104204>"). [assumption]. 1044 K(x / T(y,y * z),u) = K(x / T(y,z),u). [copy(1043),rewrite([976(2)])]. 1045 K(x,T(y,z) / (u \ z)) = K(x,z \ (y * u)) # label("p9loop 0 772 ID<103258>"). [assumption]. 1048 K(x,(y * z) / u) = K(x,y / (u / z)) # label("p9loop 0 775 ID<105304>"). [assumption]. 1049 K((x / y) \ (z \ x),u) = K(y / T(z,x),u) # label("p9loop 0 776 ID<105521>"). [assumption]. 1058 K(x,T(y,z) / (u * z)) = K(x,z \ (y / u)) # label("p9loop 0 785 ID<108796>"). [assumption]. 1060 T(x,T(y,z) / (u * z)) = T(x,z \ (y / u)) # label("p9loop 0 787 ID<108842>"). [assumption]. 1061 K(T(x,y) / (z * y),u) = K(y \ (x / z),u) # label("p9loop 0 788 ID<108993>"). [assumption]. 1062 K(x \ (y / z),T(u,z)) = K(z \ (x \ y),u) # label("p9loop 0 789 ID<109075>"). [assumption]. 1068 T(x,y \ ((z \ y) * u)) = T(x,T(z,y) \ u) # label("p9loop 0 795 ID<93183>"). [assumption]. 1069 T(x,T(y \ 1,z) \ u) = T(x,T(y,z) * u) # label("p9loop 0 796 ID<95601>"). [assumption]. 1073 K(x,T(T(y \ 1,z) \ u,w)) = K(x,T(T(y,z) * u,w)) # label("p9loop 0 800 ID<112714>"). [assumption]. 1074 K(x,T(T(1 / y,z) * u,w)) = K(x,T(T(y,z) \ u,w)) # label("p9loop 0 801 ID<113102>"). [assumption]. 1075 K(x * T(y \ 1,z),u) = K(x / T(y,z),u) # label("p9loop 0 802 ID<112846>"). [assumption]. 1076 T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)) # label("p9loop 0 803 ID<113473>"). [assumption]. 1078 K(x * T(1 / y,z),u) = K(x / T(y,z),u) # label("p9loop 0 805 ID<113784>"). [assumption]. 1081 T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u) # label("p9loop 0 808 ID<112024>"). [assumption]. 1082 T(x,T(1 / y,z) * u) = T(x,T(y,z) \ u) # label("p9loop 0 809 ID<111997>"). [assumption]. 1087 K(x / (y / (y / z)),u) = K(x / T(z,y),u) # label("p9loop 0 814 ID<103406>"). [assumption]. 1089 T(x,y \ (((z * u) / z) \ w)) = T(x,y \ (T(u,z) \ w)) # label("p9loop 0 816 ID<96102>"). [assumption]. 1090 T(x,(y \ (z \ u)) * K(z,w)) = T(x,y \ (T(z,w) \ u)) # label("p9loop 0 817 ID<97092>"). [assumption]. 1091 T(x,K(y,z) * (u \ (y \ w))) = T(x,u \ (T(y,z) \ w)) # label("p9loop 0 818 ID<97133>"). [assumption]. 1092 T(x,K(y,z) * (u \ (w \ z))) = T(x,u \ (w \ T(z,y))) # label("p9loop 0 819 ID<96991>"). [assumption]. 1094 T(T(x,y),T(x,z)) = T(x,y) # label("p9loop 0 821 ID<19278>"). [assumption]. 1095 T(x / y,y \ x) = x / y # label("p9loop 0 822 ID<19296>"). [assumption]. 1096 K(x,x / y) = K(x,y \ x) # label("p9loop 0 823 ID<26820>"). [assumption]. 1097 K(x,1 / y) = K(x,y \ 1) # label("p9loop 0 824 ID<28546>"). [assumption]. 1098 T(x,1 / y) = T(x,y \ 1) # label("p9loop 0 825 ID<28734>"). [assumption]. 1099 T(x,y) \ K(x,y) = x \ 1 # label("p9loop 0 826 ID<32693>"). [assumption]. 1100 T(x \ 1,K(x,y)) = x \ 1 # label("p9loop 0 827 ID<32935>"). [assumption]. 1101 T(1 / x,K(x,y)) = 1 / x # label("p9loop 0 828 ID<33125>"). [assumption]. 1102 T(x \ y,K(x,y)) = x \ y # label("p9loop 0 829 ID<37038>"). [assumption]. 1104 K(x,y) \ z = K(y,x) * z # label("p9loop 0 831 ID<55395>"). [assumption]. 1105 x / K(y,z) = x * K(z,y) # label("p9loop 0 832 ID<55406>"). [assumption]. 1108 T(x,y * K(x,z)) = T(x,y) # label("p9loop 0 835 ID<60559>"). [assumption]. 1110 T(x,y * K(z,x)) = T(x,y) # label("p9loop 0 837 ID<68302>"). [assumption]. 1112 K(x,K(x,y) * z) = K(x,z) # label("p9loop 0 839 ID<75113>"). [assumption]. 1113 K(K(x,y) * z,x) = K(z,x) # label("p9loop 0 840 ID<78534>"). [assumption]. 1114 ((x \ y) * z) / T(y,x \ z) = y \ ((x \ y) * z) # label("p9loop 0 841 ID<118534>"). [assumption]. 1117 T(x,(T(y,z) / u) \ z) = T(x,u / (y / z)) # label("p9loop 0 844 ID<119717>"). [assumption]. 1122 K(K(x,y) * (z / (x / u)),w) = K(z / (T(x,y) / u),w) # label("p9loop 0 849 ID<115978>"). [assumption]. 1124 K(x / T(y * z,z),u) = K(x / (z * y),u) # label("p9loop 0 851 ID<104468>"). [assumption]. 1130 T(x,(((y \ z) \ z) / u) \ w) = T(x,(T(y,z) / u) \ w) # label("p9loop 0 857 ID<122145>"). [assumption]. 1131 K(x,(((y \ z) \ z) / u) \ w) = K(x,(T(y,z) / u) \ w) # label("p9loop 0 858 ID<122117>"). [assumption]. 1138 T(x,T(y \ T(z,u),u)) = T(x,T(y,u) \ z) # label("p9loop 0 865 ID<123888>"). [assumption]. 1140 K(x,T(1 / y,z) * u) = K(x,T(y,z) \ u) # label("p9loop 0 867 ID<113182>"). [assumption]. 1142 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u) # label("p9loop 0 869 ID<90442>"). [assumption]. 1152 K((x / T(y,x)) \ z,u) = K(x \ (y * z),u) # label("p9loop 0 879 ID<105513>"). [assumption]. 1174 K((x \ K(y,z)) * u,w) = K(K(z,y) * (x \ u),w) # label("p9loop 0 901 ID<131520>"). [assumption]. 1182 K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u) # label("p9loop 0 909 ID<133150>"). [assumption]. 1187 K(x,y * (z \ K(z,u))) = K(x,y / T(z,u)) # label("p9loop 0 914 ID<130901>"). [assumption]. 1190 T(x,y * (z * T(u * w,w))) = T(x,y * (z * (w * u))) # label("p9loop 0 917 ID<135290>"). [assumption]. 1204 T(x,y * (z * (u * (w / u)))) = T(x,y * (z * T(w,u))) # label("p9loop 0 931 ID<135409>"). [assumption]. 1209 T(x,K(y,z) * (u * (z * w))) = T(x,u * (T(z,y) * w)) # label("p9loop 0 936 ID<135123>"). [assumption]. 1212 K(x,(a(y,z,u) / w) * v5) = K(x,(w \ a(y,z,u)) * v5) # label("p9loop 0 939 ID<139601>"). [assumption]. 1213 K(x,y * (K(z,u) * (z \ w))) = K(x,y * (T(z,u) \ w)) # label("p9loop 0 940 ID<73332>"). [assumption]. 1216 x / ((y * x) / y) = K(x,y) # label("p9loop 0 943 ID<117661>"). [assumption]. 1219 K(x,y * K(x,z)) = K(x,y) # label("p9loop 0 946 ID<118106>"). [assumption]. 1220 K(x * K(y,z),y) = K(x,y) # label("p9loop 0 947 ID<118107>"). [assumption]. 1221 K(x,y * K(z,x)) = K(x,y) # label("p9loop 0 948 ID<118401>"). [assumption]. 1222 K(x * K(y,z),z) = K(x,z) # label("p9loop 0 949 ID<118402>"). [assumption]. 1223 K(K(x,y) * z,y) = K(z,y) # label("p9loop 0 950 ID<118463>"). [assumption]. 1225 K(x,y) / T(x,y) = 1 / x # label("p9loop 0 952 ID<140433>"). [assumption]. 1251 K((T(x,y) \ y) * z,u) = K((y / x) * z,u) # label("p9loop 0 978 ID<146574>"). [assumption]. 1253 K(x,y \ (z / T(u,y))) = K(x,T(z / (u * y),y)) # label("p9loop 0 980 ID<147319>"). [assumption]. 1255 T(x,(y \ T(z,y)) * u) = T(x,(z / y) * u) # label("p9loop 0 982 ID<146638>"). [assumption]. 1261 K(x,y * (K(z,u) * (u / w))) = K(x,y * (T(u,z) / w)) # label("p9loop 0 988 ID<146371>"). [assumption]. 1263 K(x,y * (T(T(z,u),u) / w)) = K(x,y * (z / w)) # label("p9loop 0 990 ID<149306>"). [assumption]. 1276 T(x,y / T(z * u,u)) = T(x,y / (u * z)) # label("p9loop 0 1003 ID<121279>"). [assumption]. 1277 T(x,T(y,(z \ u) * w)) = T(x,T(y,u * (z * w))) # label("p9loop 0 1004 ID<102300>"). [assumption]. 1278 K(x,y) * (K(z,u) * (y \ w)) = K(z,u) * (T(y,x) \ w) # label("p9loop 0 1005 ID<72021>"). [assumption]. 1281 T(x,(y \ ((z \ 1) \ u)) * K(w,v5)) = T(x,y \ ((z \ K(v5,w)) \ u)) # label("p9loop 0 1008 ID<133056>"). [assumption]. 1286 K(x,y * (z / T(u,K(w,v5)))) = K(x,y * (z / u)) # label("p9loop 0 1013 ID<146242>"). [assumption]. 1294 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))) # label("p9loop 0 1021 ID<42568>"). [assumption]. 1298 K(x,K(y,z * (u \ w))) = K(x,K(y,z * (w * u))) # label("p9loop 0 1025 ID<101603>"). [assumption]. 1306 T(x,y * (T(T(z,u),u) * w)) = T(x,y * (z * w)) # label("p9loop 0 1033 ID<138295>"). [assumption]. 1319 T(x,T(y,z / u) * w) = T(x,T(y,u * z) * w) # label("p9loop 0 1046 ID<111967>"). [assumption]. 1323 K(x,T(y,z \ u) * w) = K(x,T(y,z * u) * w) # label("p9loop 0 1050 ID<160044>"). [assumption]. 1333 K(x,y * (z / T(u,T(w,v5)))) = K(x,y * (z / T(u,w))) # label("p9loop 0 1060 ID<163232>"). [assumption]. 1340 T(x,y) != T(z,y) | z = x # label("p9loop 0 1067 ID<164524>"). [assumption]. 1343 R(T(x,x * y),y,x) = T(x,y) # label("p9loop 0 1070 ID<20304>"). [assumption]. 1344 (x * y) / z != y | T(x,y) = z # label("p9loop 0 1071 ID<20680>"). [assumption]. 1348 x * y != z | T(x,y) = y \ z # label("p9loop 0 1075 ID<33429>"). [assumption]. 1349 a(x,x \ 1,x) = K(x,x \ 1) # label("p9loop 0 1076 ID<69573>"). [assumption]. 1350 L(x,x \ 1,x) = 1 / (1 / x) # label("p9loop 0 1077 ID<73636>"). [assumption]. 1351 L(x \ 1,x,y) = (y * x) \ y # label("p9loop 0 1078 ID<74631>"). [assumption]. 1353 R(x,x \ 1,x) = T(x,x \ 1) # label("p9loop 0 1080 ID<165077>"). [assumption]. 1357 K(x,T(T(y,z \ u) \ w,v5)) = K(x,T(T(y,z * u) \ w,v5)) # label("p9loop 0 1084 ID<167768>"). [assumption]. 1372 K(x,K(y,z) * (u / (w * y))) = K(x,u / (w * T(y,z))) # label("p9loop 0 1099 ID<171485>"). [assumption]. 1383 K(x,y \ T(z,u \ w)) = K(x,y \ T(z,u * w)) # label("p9loop 0 1110 ID<167895>"). [assumption]. 1404 T(x,y / T(z,u \ w)) = T(x,y / T(z,u * w)) # label("p9loop 0 1131 ID<168888>"). [assumption]. 1405 T(x,T(K(y,z) * (u \ (w \ z)),v5)) = T(x,T(u \ (w \ T(z,y)),v5)) # label("p9loop 0 1132 ID<115712>"). [assumption]. 1425 K(K(x \ y,z) * u,w) = K(K(x * y,z) * u,w) # label("p9loop 0 1152 ID<178311>"). [assumption]. 1432 K(x * T(y,z * z),u) = K(x * y,u) # label("p9loop 0 1159 ID<159587>"). [assumption]. 1434 K(x,K(y,z \ u) * w) = K(x,K(y,u * z) * w) # label("p9loop 0 1161 ID<186583>"). [assumption]. 1436 K(x,K(y \ z,u) * w) = K(x,K(y * z,u) * w) # label("p9loop 0 1163 ID<180649>"). [assumption]. 1437 K(x,y * (K(z \ u,w) * v5)) = K(x,y * (K(z * u,w) * v5)) # label("p9loop 0 1164 ID<188541>"). [assumption]. 1441 T(x,y * (K(z \ u,w) * v5)) = T(x,y * (K(z * u,w) * v5)) # label("p9loop 0 1168 ID<188695>"). [assumption]. 1442 K(x,y * (T(z,u \ w) / v5)) = K(x,y * (T(z,u * w) / v5)) # label("p9loop 0 1169 ID<188675>"). [assumption]. 1443 T(x,(y \ T(z,u \ w)) * v5) = T(x,(y \ T(z,u * w)) * v5) # label("p9loop 0 1170 ID<189440>"). [assumption]. 1449 K(x,y * K(z \ u,w)) = K(x,y * K(z * u,w)) # label("p9loop 0 1176 ID<181621>"). [assumption]. 1455 1 / (x * x) = (x * x) \ 1 # label("p9loop 0 1182 ID<192512>"). [assumption]. 1457 x / L(y \ 1,y,x) = x * y # label("p9loop 0 1184 ID<166366>"). [assumption]. 1459 x \ ((y \ x) * y) = K(y \ x,y) # label("p9loop 0 1186 ID<307>"). [assumption]. 1460 ((x \ y) * x) \ y = K(x,x \ y) # label("p9loop 0 1187 ID<308>"). [assumption]. 1461 x \ (y * (x / y)) = K(y,y \ x) # label("p9loop 0 1188 ID<309>"). [assumption]. 1462 x / ((y \ x) * y) = K(y,y \ x) # label("p9loop 0 1189 ID<385>"). [assumption]. 1463 ((x \ y) * x) / y = K(x \ y,x) # label("p9loop 0 1190 ID<386>"). [assumption]. 1464 (x * (y / x)) / y = K(x,x \ y) # label("p9loop 0 1191 ID<388>"). [assumption]. 1465 x != y | z * u != y | z \ x = u # label("p9loop 0 1192 ID<437>"). [assumption]. 1466 x != y | z * u != y | x / u = z # label("p9loop 0 1193 ID<448>"). [assumption]. 1467 x != y | z / u != y | x * u = z # label("p9loop 0 1194 ID<461>"). [assumption]. 1468 x != y | z \ u != y | z * x = u # label("p9loop 0 1195 ID<472>"). [assumption]. 1471 (x * y) \ (x * T(y,z)) = K(y,z) # label("p9loop 0 1198 ID<705>"). [assumption]. 1473 x * K(x \ 1,x) = 1 / (1 / x) # label("p9loop 0 1200 ID<961>"). [assumption]. 1474 (x * T(y,z)) * L(u,y,x) = x * (T(y,z) * u) # label("p9loop 0 1201 ID<202473>"). [assumption]. 1475 a(L(x,y,z) * (z * y),u,w) = a(z * (y * x),u,w) # label("p9loop 0 1202 ID<203966>"). [assumption]. 1476 a(x * (y * (T(z,u) * w)),v5,v6) = a(x * (y * (z * w)),v5,v6) # label("p9loop 0 1203 ID<204259>"). [assumption]. 1478 L(x \ y,z,u) \ K(x \ y,x) = L(y / x,z,u) \ 1 # label("p9loop 0 1205 ID<196403>"). [assumption]. 1481 K(x,y) * (L(T(x,y),z,u) \ w) = L(x,z,u) \ w # label("p9loop 0 1208 ID<196646>"). [assumption]. 1482 a(x,y,z \ (L(T(u,w),v5,v6) \ v7)) = a(x,y,z \ (L(u,v5,v6) \ v7)) # label("p9loop 0 1209 ID<205646>"). [assumption]. 1483 a(x,y,z \ (L(u / w,v5,v6) \ v7)) = a(x,y,z \ (L(w \ u,v5,v6) \ v7)) # label("p9loop 0 1210 ID<205891>"). [assumption]. 1484 K(x,y) * (L(y,z,u) \ w) = L(T(y,x),z,u) \ w # label("p9loop 0 1211 ID<205426>"). [assumption]. 1485 (1 / x) \ (K(y,z) * u) = (K(z,y) / x) \ u # label("p9loop 0 1212 ID<192678>"). [assumption]. 1486 a(x,(y * ((K(z,u) / w) \ v5)) \ v6,v7) = a(x,(y * ((1 / w) \ v5)) \ v6,v7) # label("p9loop 0 1213 ID<206701>"). [assumption]. 1487 a(x,y,(z \ K(u,w)) \ v5) = a(x,y,(z \ 1) \ v5) # label("p9loop 0 1214 ID<206641>"). [assumption]. 1488 (x \ 1) * (K(y,z) * u) = (x \ K(y,z)) * u # label("p9loop 0 1215 ID<193428>"). [assumption]. 1489 (x * (y \ 1)) * (K(z,u) * w) = (x * (y \ K(z,u))) * w # label("p9loop 0 1216 ID<207277>"). [assumption]. 1490 L(x,y * (z * (u \ K(w,v5))),v6) = L(x,y * (z * (u \ 1)),v6) # label("p9loop 0 1217 ID<207901>"). [assumption]. 1491 K(x,y) * ((z \ K(x,y)) \ u) = (z \ 1) \ u # label("p9loop 0 1218 ID<207115>"). [assumption]. 1493 (x \ (y \ 1)) * K(z,u) = x \ (y \ K(z,u)) # label("p9loop 0 1220 ID<193429>"). [assumption]. 1494 L(x,y,z \ (u \ K(w,v5))) = L(x,y,z \ (u \ 1)) # label("p9loop 0 1221 ID<209007>"). [assumption]. 1496 R(x,y,z) * T(u,x) = u * R(x,y,z) # label("p9loop 0 1223 ID<200357>"). [assumption]. 1498 R(x,y,z) * (x \ u) = (u / x) * R(x,y,z) # label("p9loop 0 1225 ID<209462>"). [assumption]. 1500 K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u) # label("p9loop 0 1227 ID<210438>"). [assumption]. 1501 (x * y) \ (K(z,x) * u) = (T(x,z) * y) \ u # label("p9loop 0 1228 ID<211219>"). [assumption]. 1502 a(x * ((T(y,z) * u) \ w),v5,v6) = a(((y * u) \ w) * x,v5,v6) # label("p9loop 0 1229 ID<212176>"). [assumption]. 1503 L(x,y,T(z,u) * w) = L(x,y,z * w) # label("p9loop 0 1230 ID<212230>"). [assumption]. 1504 L(x,y,(z / u) * w) = L(x,y,(u \ z) * w) # label("p9loop 0 1231 ID<212741>"). [assumption]. 1505 K(x,T(y,z)) * ((z \ u) * w) = (z \ (K(x,y) * u)) * w # label("p9loop 0 1232 ID<211156>"). [assumption]. 1506 L(x,y,z * u) = L(x,y,u * z) # label("p9loop 0 1233 ID<212742>"). [assumption]. 1507 L(x,y * z,u * w) = L(x,z * y,w * u) # label("p9loop 0 1234 ID<213502>"). [assumption]. 1514 K(x,y \ (T(z,z * u) \ w)) = K(x,y \ (T(z,u) \ w)) # label("p9loop 0 1241 ID<193399>"). [assumption]. 1523 T(x,y * K(z \ u,w)) = T(x,y * K(z * u,w)) # label("p9loop 0 1250 ID<182231>"). [assumption]. 1524 K(x \ (y / (y / z)),u) = K(x \ T(z,y),u) # label("p9loop 0 1251 ID<103396>"). [assumption]. 1528 K(x,y * K(z,u \ w)) = K(x,y * K(z,u * w)) # label("p9loop 0 1255 ID<177825>"). [assumption]. 1538 T(x,y \ (z \ T(u,w \ v5))) = T(x,y \ (z \ T(u,w * v5))) # label("p9loop 0 1265 ID<219607>"). [assumption]. 1541 T(x,K(y,z) * ((u \ y) * w)) = T(x,(u \ T(y,z)) * w) # label("p9loop 0 1268 ID<220416>"). [assumption]. 1542 T(x,(y \ z) * (u * K(z,w))) = T(x,(y \ T(z,w)) * u) # label("p9loop 0 1269 ID<220589>"). [assumption]. 1543 T(x,(y \ T(z,z * u)) * w) = T(x,(y \ T(z,u)) * w) # label("p9loop 0 1270 ID<221021>"). [assumption]. 1544 T(x,K(y,z) * ((u \ z) * w)) = T(x,(u \ T(z,y)) * w) # label("p9loop 0 1271 ID<220580>"). [assumption]. 1557 T(x,T(y,z \ u) \ w) = T(x,T(y,z * u) \ w) # label("p9loop 0 1284 ID<100487>"). [assumption]. 1562 K(x * K(y \ z,u),w) = K(x * K(y * z,u),w) # label("p9loop 0 1289 ID<178356>"). [assumption]. 1565 T(x,y * T(z,u \ w)) = T(x,y * T(z,u * w)) # label("p9loop 0 1292 ID<175958>"). [assumption]. 1574 (x * T(y,z)) \ (x * y) = K(z,y) # label("p9loop 0 1301 ID<1047>"). [assumption]. 1575 x * T(T(y,x),z) = T(y,z) * x # label("p9loop 0 1302 ID<1070>"). [assumption]. 1576 T(T(x / y,z),y) = T(y \ x,z) # label("p9loop 0 1303 ID<1084>"). [assumption]. 1577 K(x \ y,T(z,x)) = K(y / x,z) # label("p9loop 0 1304 ID<1108>"). [assumption]. 1578 (T(x,y) * z) / (x * z) = K(x,y) # label("p9loop 0 1305 ID<1175>"). [assumption]. 1579 K(x,y * K(z,y)) = K(x,T(y,z)) # label("p9loop 0 1306 ID<1293>"). [assumption]. 1582 x * K(y \ x,y) = (y \ x) * y # label("p9loop 0 1309 ID<2671>"). [assumption]. 1583 ((x * y) / x) \ 1 = y \ K(y,x) # label("p9loop 0 1310 ID<2695>"). [assumption]. 1584 K(x,T(y,z)) * z = z * K(x,y) # label("p9loop 0 1311 ID<2998>"). [assumption]. 1586 K(x \ 1,T(x,y)) = K(x \ 1,x) # label("p9loop 0 1313 ID<3194>"). [assumption]. 1587 x * K(y,T(z,x)) = K(y,z) * x # label("p9loop 0 1314 ID<3249>"). [assumption]. 1588 K(x,y) / (y * K(x,y)) = 1 / y # label("p9loop 0 1315 ID<3418>"). [assumption]. 1589 x * T(x \ 1,y) = K(x \ 1,y) # label("p9loop 0 1316 ID<3442>"). [assumption]. 1590 (x / y) / (y \ x) = K(y,y \ x) # label("p9loop 0 1317 ID<3616>"). [assumption]. 1591 T(x,T(y \ z,y)) = T(x,z / y) # label("p9loop 0 1318 ID<3632>"). [assumption]. 1593 T(x,y) * (y * x) = x * (x * y) # label("p9loop 0 1320 ID<3782>"). [assumption]. 1594 a((((x \ y) * x) \ z) * u,w,v5) = a((y \ z) * u,w,v5) # label("p9loop 0 1321 ID<232452>"). [assumption]. 1597 T(x * K(y,T(z,u)),u) = T(x,u) * K(y,z) # label("p9loop 0 1324 ID<233657>"). [assumption]. 1599 T(x,y * ((z \ u) * T(w,z * u))) = T(x,y * (w * (z \ u))) # label("p9loop 0 1326 ID<228385>"). [assumption]. 1600 T(x,T(y,z \ u) * w) = T(x,T(y,z * u) * w) # label("p9loop 0 1327 ID<111976>"). [assumption]. 1611 T(x,x * T(y,z)) = T(x,T(y * x,z)) # label("p9loop 0 1338 ID<139348>"). [assumption]. 1612 T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w) # label("p9loop 0 1339 ID<102918>"). [assumption]. 1625 K(x,T(y,z)) / (z * K(u,w)) = (K(w,u) / z) * K(x,y) # label("p9loop 0 1352 ID<243300>"). [assumption]. 1633 K(x \ T(y * z,y),u) = K(x \ (z * y),u) # label("p9loop 0 1360 ID<114682>"). [assumption]. 1636 K(T(x * y,x) / z,u) = K(y / (z / x),u) # label("p9loop 0 1363 ID<114662>"). [assumption]. 1641 K(x,y / (z / T(u,u * w))) = K(x,y / (z / T(u,w))) # label("p9loop 0 1368 ID<248496>"). [assumption]. 1643 K(x,y * (z * (u * K(w,z)))) = K(x,y * (T(z,w) * u)) # label("p9loop 0 1370 ID<133923>"). [assumption]. 1644 K(x * ((y \ z) * y),u) = K(x * T(z,y),u) # label("p9loop 0 1371 ID<232430>"). [assumption]. 1651 K(x,T(y,z)) * K(u,K(w,v5)) = T(K(x,y) * K(u,K(w,v5)),z) # label("p9loop 0 1378 ID<52430>"). [assumption]. 1652 T(x,y) * K(z,K(u,w)) = T(x * K(z,K(u,w)),y) # label("p9loop 0 1379 ID<39248>"). [assumption]. 1656 K(x,y * T(z \ u,z)) = K(x,y * (u / z)) # label("p9loop 0 1383 ID<49955>"). [assumption]. 1659 K(x,T(y \ (z \ 1),z)) = K(x,z \ (y \ 1)) # label("p9loop 0 1386 ID<151744>"). [assumption]. 1684 T(x,T(y,z) \ T(u,y)) = T(x,u / T(y,z)) # label("p9loop 0 1411 ID<109728>"). [assumption]. 1685 T(x,y) * K(y * z,u) = T(x * K(z * y,u),y) # label("p9loop 0 1412 ID<237267>"). [assumption]. 1687 K(x * (y \ K(y,z)),u) = K(x / T(y,z),u) # label("p9loop 0 1414 ID<113430>"). [assumption]. 1694 K(x,T(y,x * z)) = K(x,T(y,z)) # label("p9loop 0 1421 ID<3833>"). [assumption]. 1695 K(x,T(y / z,y)) = K(x,z \ y) # label("p9loop 0 1422 ID<3845>"). [assumption]. 1696 K(x \ y,T(z,y)) = K(y / x,z) # label("p9loop 0 1423 ID<3871>"). [assumption]. 1697 (x / y) \ (y \ x) = K(y \ x,y) # label("p9loop 0 1424 ID<4063>"). [assumption]. 1698 T(1 / T(x,y),x) = x \ K(y,x) # label("p9loop 0 1425 ID<4101>"). [assumption]. 1699 T(x,x \ y) \ y = T(x \ y,x) # label("p9loop 0 1426 ID<4138>"). [assumption]. 1700 T(x / T(y,x),y) = T(y,x) \ x # label("p9loop 0 1427 ID<4186>"). [assumption]. 1702 K((x \ y) * x,z) = K(y,T(z,x)) # label("p9loop 0 1429 ID<4317>"). [assumption]. 1703 T(x * y,K(z,y * x)) = x * y # label("p9loop 0 1430 ID<4413>"). [assumption]. 1704 K(x,K(y,z * x)) = K(x,K(z,y)) # label("p9loop 0 1431 ID<4658>"). [assumption]. 1705 K(x,K(y,z * x)) = K(x,K(y,z)). [copy(1704),rewrite([46(5)])]. 1707 T((x * y) / x,y) = (x * y) / x # label("p9loop 0 1433 ID<10340>"). [assumption]. 1708 L(x,y,z) * x = x * L(x,y,z) # label("p9loop 0 1434 ID<10346>"). [assumption]. 1715 K(x,y) * ((x * z) * u) = (T(x,y) * z) * u # label("p9loop 0 1441 ID<260611>"). [assumption]. 1723 K(x,y) * (K(z,u) * (x * w)) = K(z,u) * (T(x,y) * w) # label("p9loop 0 1449 ID<266402>"). [assumption]. 1733 T(x,K(y,z * (u * u))) = T(x,K(y,z)) # label("p9loop 0 1459 ID<88036>"). [assumption]. 1740 T(x,y * ((z \ u) * K(w,z))) = T(x,y * (T(z,w) \ u)) # label("p9loop 0 1466 ID<273329>"). [assumption]. 1742 T(x,K(y,z \ u)) = T(x,K(y,u * z)) # label("p9loop 0 1468 ID<87651>"). [assumption]. 1743 K(x,K(y,z * (z * u))) = K(x,K(y,u)) # label("p9loop 0 1469 ID<87615>"). [assumption]. 1748 K(x,(y \ z) * K(u,z)) = K(x,y \ T(z,u)) # label("p9loop 0 1474 ID<56639>"). [assumption]. 1752 K(x,(y \ z) * T(y,u)) = K(x,T(K(y,u) * z,y)) # label("p9loop 0 1478 ID<250220>"). [assumption]. 1757 K(K(x,y) * (z / x),u) = K(z / T(x,y),u) # label("p9loop 0 1483 ID<68298>"). [assumption]. 1760 K(x,K(y,z) * (u * z)) = K(x,u * T(z,y)) # label("p9loop 0 1486 ID<48895>"). [assumption]. 1762 T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)) # label("p9loop 0 1488 ID<48814>"). [assumption]. 1767 K(x,y / (z / (u / T(w,u)))) = K(x,y / (z / (w \ u))) # label("p9loop 0 1493 ID<282125>"). [assumption]. 1771 K(x,K(y,z)) * (u * z) = u * T(z,K(x,y)) # label("p9loop 0 1497 ID<77960>"). [assumption]. 1773 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y) # label("p9loop 0 1499 ID<59539>"). [assumption]. 1779 T(x,T(y,z \ u)) = T(x,T(y,z * u)) # label("p9loop 0 1505 ID<109719>"). [assumption]. 1781 T(x,T(y,z * (z * u))) = T(x,T(y,u)) # label("p9loop 0 1507 ID<88613>"). [assumption]. 1785 K(x,T(y,z * (z * u))) = K(x,T(y,u)) # label("p9loop 0 1511 ID<81085>"). [assumption]. 1787 K(x,T(y,z \ u)) = K(x,T(y,u * z)) # label("p9loop 0 1513 ID<80787>"). [assumption]. 1799 K(x,T(y * z,z) * u) = K(x,(z * y) * u) # label("p9loop 0 1525 ID<137046>"). [assumption]. 1800 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u) # label("p9loop 0 1526 ID<122534>"). [assumption]. 1811 K(x,y * (T(z \ u,z) * w)) = K(x,y * ((u / z) * w)) # label("p9loop 0 1537 ID<291725>"). [assumption]. 1820 T(x,K(y,z * z) * u) = T(x,u) # label("p9loop 0 1546 ID<10838>"). [assumption]. 1824 K(K(x,y * y) * z,u) = K(z,u) # label("p9loop 0 1550 ID<11026>"). [assumption]. 1825 K(x,T(y \ z,y)) = K(x,z / y) # label("p9loop 0 1551 ID<13642>"). [assumption]. 1826 K(x,K(y,x * z)) = K(x,K(z,y)) # label("p9loop 0 1552 ID<14353>"). [assumption]. 1827 K(x,K(y,x * z)) = K(x,K(y,z)). [copy(1826),rewrite([46(5)])]. 1828 x / R(x,y,z) = R(x,y,z) \ x # label("p9loop 0 1553 ID<16480>"). [assumption]. 1830 K(x,T(y,z * x)) = K(x,T(y,z)) # label("p9loop 0 1555 ID<16592>"). [assumption]. 1832 x != y | z \ u != y | u / x = z # label("p9loop 0 1557 ID<19151>"). [assumption]. 1837 R(x,L(y / z,u,w),v5) = R(x,L(z \ y,u,w),v5) # label("p9loop 0 1562 ID<302700>"). [assumption]. 1838 R(x,y \ K(z,u),w) = R(x,y \ 1,w) # label("p9loop 0 1563 ID<302776>"). [assumption]. 1839 R(x,y,K(z,u) * w) = R(x,y,w) # label("p9loop 0 1564 ID<302907>"). [assumption]. 1840 R(x,y,(T(z,u) * w) * v5) = R(x,y,(z * w) * v5) # label("p9loop 0 1565 ID<303073>"). [assumption]. 1841 R(x,y,z * K(u,w)) = R(x,y,z) # label("p9loop 0 1566 ID<303050>"). [assumption]. 1842 R(x,y,T(z,u) * w) = R(x,y,z * w) # label("p9loop 0 1567 ID<303074>"). [assumption]. 1843 R(x,y,z * (T(u,w) * v5)) = R(x,y,(u * v5) * z) # label("p9loop 0 1568 ID<303404>"). [assumption]. 1844 R(x,y,(z / u) * w) = R(x,y,(u \ z) * w) # label("p9loop 0 1569 ID<303376>"). [assumption]. 1845 R(x,y,z * (u / w)) = R(x,y,z * (w \ u)) # label("p9loop 0 1570 ID<303501>"). [assumption]. 1846 R(x,y,z * u) = R(x,y,u * z) # label("p9loop 0 1571 ID<303378>"). [assumption]. 1847 R(x,L(T(y,z),u,w),v5) = R(x,L(y,u,w),v5) # label("p9loop 0 1572 ID<302692>"). [assumption]. 1848 R(x,y / z,u) = R(x,z \ y,u) # label("p9loop 0 1573 ID<302754>"). [assumption]. 1849 R(x,(y \ z) \ z,u) = R(x,y,u) # label("p9loop 0 1574 ID<303631>"). [assumption]. 1850 R(x,y,z) * (((y \ u) \ u) * z) = (x * ((y \ u) \ u)) * z # label("p9loop 0 1575 ID<303656>"). [assumption]. 1853 R(x,y * ((z \ u) \ u),w) = R(x,y * z,w) # label("p9loop 0 1578 ID<304577>"). [assumption]. 1854 R(x,y * (z * T(u,w)),v5) = R(x,y * (z * u),v5) # label("p9loop 0 1579 ID<304673>"). [assumption]. 1855 R(x,y * (z / u),w) = R(x,y * (u \ z),w) # label("p9loop 0 1580 ID<304562>"). [assumption]. 1856 R(x,y * z,u) = R(x,z * y,u) # label("p9loop 0 1581 ID<304563>"). [assumption]. 1857 R(x,T(y,z),u) = R(x,y,u) # label("p9loop 0 1582 ID<302953>"). [assumption]. 1858 R(x,K(y,z) * u,w) = R(x,u,w) # label("p9loop 0 1583 ID<300937>"). [assumption]. 1859 R(x,y,z / u) = R(x,y,u \ z) # label("p9loop 0 1584 ID<303053>"). [assumption]. 1860 R(x,y,T(z,u)) = R(x,y,z) # label("p9loop 0 1585 ID<303048>"). [assumption]. 1863 x / (K(y,z) * u) = (x / u) * K(z,y) # label("p9loop 0 1588 ID<299201>"). [assumption]. 1895 T(x,y * (T(z,u) * u)) = T(x,y * (u * z)) # label("p9loop 0 1620 ID<50681>"). [assumption]. 1901 K(x \ ((y * z) / y),u) = K(x \ T(z,y),u) # label("p9loop 0 1626 ID<48125>"). [assumption]. 1905 T(x,y \ (z \ T(u,z))) = T(x,y \ (u / z)) # label("p9loop 0 1630 ID<123509>"). [assumption]. 1907 T(x,y \ (T(z,u) \ u)) = T(x,y \ (u / z)) # label("p9loop 0 1632 ID<123507>"). [assumption]. 1908 K(x,y / (z \ u)) = K(x,(u / y) \ z) # label("p9loop 0 1633 ID<104759>"). [assumption]. 1912 T(x,y * (z / (z / u))) = T(x,y * T(u,z)) # label("p9loop 0 1637 ID<150131>"). [assumption]. 1913 T(x,y * T(z \ u,u)) = T(x,y * (u / z)) # label("p9loop 0 1638 ID<319731>"). [assumption]. 1918 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)) # label("p9loop 0 1643 ID<48800>"). [assumption]. 1925 T(x,y * (K(z,y) * u)) = T(x,T(y,z) * u) # label("p9loop 0 1650 ID<49207>"). [assumption]. 1932 K(x,K(y,y * z) * u) = K(x,K(z,y) * u) # label("p9loop 0 1657 ID<193507>"). [assumption]. 1940 K(x,K(y,y * z)) = K(x,K(y,z)) # label("p9loop 0 1665 ID<21535>"). [assumption]. 1941 K(x,T(y,y * z)) = K(x,T(y,z)) # label("p9loop 0 1666 ID<22858>"). [assumption]. 1945 x \ T(y * x,y) = R(y,x,y) # label("p9loop 0 1670 ID<327603>"). [assumption]. 1947 x * R(y,x,y) = T(y * x,y) # label("p9loop 0 1672 ID<328134>"). [assumption]. 1951 T(x * y,T(x,y)) = T(x * y,x) # label("p9loop 0 1676 ID<26361>"). [assumption]. 1953 T(x,T(y,y * z)) = T(x,T(y,z)) # label("p9loop 0 1678 ID<26587>"). [assumption]. 1954 T(x,T(y / z,y)) = T(x,z \ y) # label("p9loop 0 1679 ID<26660>"). [assumption]. 1955 T(x \ 1,T(y,x)) = T(x \ 1,y) # label("p9loop 0 1680 ID<28712>"). [assumption]. 1982 T(x,T(y,z) \ z) = T(x,z / y) # label("p9loop 0 1707 ID<109647>"). [assumption]. 1985 T(x,y \ T(z,y)) = T(x,z / y) # label("p9loop 0 1710 ID<109674>"). [assumption]. 1989 (x \ y) * K(z \ y,z) = x \ ((z \ y) * z) # label("p9loop 0 1714 ID<44147>"). [assumption]. 1990 a(x,y,z * (u * (w \ ((v5 \ v6) * v5)))) = a(x,y,z * (u * (w \ v6))) # label("p9loop 0 1715 ID<342671>"). [assumption]. 1991 a(x,y,((z \ ((u \ w) * u)) * v5) * v6) = a(x,y,v6 * (v5 * (z \ w))) # label("p9loop 0 1716 ID<343162>"). [assumption]. 1995 a(x,y,(z \ (u * w)) * v5) = a(x,y,v5 * (z \ (w * u))) # label("p9loop 0 1720 ID<343336>"). [assumption]. 1997 L(x,y,z) \ (z * (y * x)) = T(z * y,x) # label("p9loop 0 1722 ID<54687>"). [assumption]. 1998 L(x,x \ y,z) \ (z * y) = T(z * (y / x),x) # label("p9loop 0 1723 ID<344159>"). [assumption]. 1999 a(x,y,(z * (u \ T(w,v5))) * v6) = a(x,y,(z * (u \ w)) * v6) # label("p9loop 0 1724 ID<345029>"). [assumption]. 2000 a(x,y,z * ((u \ T(w,v5)) * v6)) = a(x,y,(v6 * (u \ w)) * z) # label("p9loop 0 1725 ID<345464>"). [assumption]. 2002 ((x * y) / x) / z = K(x,y) * (y / z) # label("p9loop 0 1727 ID<68551>"). [assumption]. 2004 K(x,x \ y) * ((x \ y) / z) = (y / x) / z # label("p9loop 0 1729 ID<345968>"). [assumption]. 2006 R(x,y,z \ (u / w)) = R(x,y,z \ (w \ u)) # label("p9loop 0 1731 ID<347552>"). [assumption]. 2007 R(x,y,z \ T(u,w)) = R(x,y,z \ u) # label("p9loop 0 1732 ID<347688>"). [assumption]. 2008 L(x,y \ (z / u),w) = L(x,y \ (u \ z),w) # label("p9loop 0 1733 ID<347261>"). [assumption]. 2009 L(x,y,z \ (u \ (w / v5))) = L(x,y,z \ (u \ (v5 \ w))) # label("p9loop 0 1734 ID<347277>"). [assumption]. 2010 L(x,y,z \ (u \ T(w,v5))) = L(x,y,z \ (u \ w)) # label("p9loop 0 1735 ID<347929>"). [assumption]. 2016 K(x,y) * (z * z) = z * (z * K(x,y)) # label("p9loop 0 1741 ID<52214>"). [assumption]. 2019 K(x * (1 / y),z) = K(x / y,z) # label("p9loop 0 1744 ID<104248>"). [assumption]. 2020 K(x * (y \ 1),z) = K(x / y,z) # label("p9loop 0 1745 ID<67905>"). [assumption]. 2022 T(x,y * (1 / z)) = T(x,y / z) # label("p9loop 0 1747 ID<114258>"). [assumption]. 2023 T(x,y * (z \ 1)) = T(x,y / z) # label("p9loop 0 1748 ID<109687>"). [assumption]. 2027 x / (y * K(x,z)) = K(z,x) * (x / y) # label("p9loop 0 1752 ID<301284>"). [assumption]. 2028 K(x,y) * (T(y,x) / z) = y / z # label("p9loop 0 1753 ID<59806>"). [assumption]. 2031 a(x,y,z \ (u \ T(w,v5))) = a(x,y,z \ (u \ w)) # label("p9loop 0 1756 ID<354208>"). [assumption]. 2032 (T(x,y) / z) * K(y,x) = T(x / z,K(x,y)) # label("p9loop 0 1757 ID<354671>"). [assumption]. 2034 K(x,y) * (x / z) = T(x,y) / z # label("p9loop 0 1759 ID<59765>"). [assumption]. 2035 T(x,y) / (z \ x) = K(x,y) * z # label("p9loop 0 1760 ID<348071>"). [assumption]. 2037 (((x * y) / x) * z) \ T(x,y) = (y * z) \ x # label("p9loop 0 1762 ID<294316>"). [assumption]. 2039 1 / (x * K(y,z)) = K(z,y) / x # label("p9loop 0 1764 ID<166169>"). [assumption]. 2040 T(K(x,y) / z,K(y,x)) = (1 / z) * K(x,y) # label("p9loop 0 1765 ID<358460>"). [assumption]. 2041 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [copy(2040),rewrite([749(4)])]. 2049 ((1 / x) \ y) * K(z,y) = (K(y,z) / x) \ y # label("p9loop 0 1773 ID<206664>"). [assumption]. 2051 x / (y * K(z,x)) = T(x,z) / y # label("p9loop 0 1775 ID<301289>"). [assumption]. 2052 (K(x,y) / z) \ 1 = z * K(y,x) # label("p9loop 0 1776 ID<196986>"). [assumption]. 2053 T(x \ T(y,z),K(y,z)) = K(y,z) * (x \ y) # label("p9loop 0 1777 ID<362413>"). [assumption]. 2072 K(x * (y \ (y / x)),z) = 1 # label("p9loop 0 1796 ID<367199>"). [assumption]. 2073 L(T(x,y),y,x) = T(x,x * y) # label("p9loop 0 1797 ID<344086>"). [assumption]. 2074 L(R(x,y,x),y,x) = x # label("p9loop 0 1798 ID<367969>"). [assumption]. 2079 a(x,y,L(z,u,z)) = a(x,y,z) # label("p9loop 0 1803 ID<367702>"). [assumption]. 2082 1 / (x \ K(y,z)) = K(z,y) * x # label("p9loop 0 1806 ID<291990>"). [assumption]. 2084 ((x \ 1) \ y) * T(z,x * y) = z * ((x \ 1) \ y) # label("p9loop 0 1808 ID<116924>"). [assumption]. 2086 T(x,(y \ 1) * z) = T(x,y \ z) # label("p9loop 0 1810 ID<88948>"). [assumption]. 2090 ((x \ 1) * y) * T(z,x \ y) = z * ((x \ 1) * y) # label("p9loop 0 1814 ID<372048>"). [assumption]. 2091 K(x,y) * ((z * (u \ 1)) \ w) = (z * (u \ K(y,x))) \ w # label("p9loop 0 1815 ID<374424>"). [assumption]. 2097 K(x,y * (1 / z)) = K(x,y / z) # label("p9loop 0 1821 ID<90446>"). [assumption]. 2098 T(x * K(y * x,z),y) = y \ T(x * y,z) # label("p9loop 0 1822 ID<59541>"). [assumption]. 2099 x * (y * K(x * y,z)) = T(x * y,z) # label("p9loop 0 1823 ID<42573>"). [assumption]. 2107 ((x \ 1) \ y) * K(x * y,z) = T((x \ 1) \ y,z) # label("p9loop 0 1831 ID<279339>"). [assumption]. 2109 x * K(y * (z \ x),u) = z * (y \ T(y * (z \ x),u)) # label("p9loop 0 1833 ID<382941>"). [assumption]. 2110 T(x,T(T(y * z,u),y) \ w) = T(x,T(z * y,u) \ w) # label("p9loop 0 1834 ID<383470>"). [assumption]. 2111 K((x \ 1) * y,z) = K(x \ y,z) # label("p9loop 0 1835 ID<68174>"). [assumption]. 2112 (x \ T(y,z)) * K(z,y) = x \ y # label("p9loop 0 1836 ID<41845>"). [assumption]. 2114 K(x,(y \ 1) * z) = K(x,y \ z) # label("p9loop 0 1838 ID<67733>"). [assumption]. 2115 (T(x,y) / z) \ x = z * K(y,x) # label("p9loop 0 1839 ID<362280>"). [assumption]. 2116 T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1) # label("p9loop 0 1840 ID<303158>"). [assumption]. 2120 K(x / (y * (z \ 1)),u) = K((x / T(y,z)) * z,u) # label("p9loop 0 1844 ID<389102>"). [assumption]. 2121 (x \ K(y,z)) * K(z,y) = x \ 1 # label("p9loop 0 1845 ID<41838>"). [assumption]. 2122 (x \ y) * K(y,z) = x \ T(y,z) # label("p9loop 0 1846 ID<41843>"). [assumption]. 2123 K(x,y) * ((z \ y) \ u) = (z \ T(y,x)) \ u # label("p9loop 0 1847 ID<390747>"). [assumption]. 2124 (x \ (y \ z)) * K(z,u) = x \ (y \ T(z,u)) # label("p9loop 0 1848 ID<390662>"). [assumption]. 2129 (x / y) \ T(x,z) = y * K(x,z) # label("p9loop 0 1853 ID<353326>"). [assumption]. 2133 K(x,y) * (K(y,x) / z) = 1 / z # label("p9loop 0 1857 ID<59755>"). [assumption]. 2137 K(x,y * (z \ 1)) = K(x,y / z) # label("p9loop 0 1861 ID<67770>"). [assumption]. 2140 (1 / x) \ K(y,z) = x * K(y,z) # label("p9loop 0 1864 ID<206462>"). [assumption]. 2141 (x \ 1) * K(y,z) = x \ K(y,z) # label("p9loop 0 1865 ID<41833>"). [assumption]. 2143 K(x,y) * (1 / z) = K(x,y) / z # label("p9loop 0 1867 ID<59754>"). [assumption]. 2144 K(x,y) * (a(z,u,w) \ (1 / v5)) = a(z,u,w) \ (K(x,y) / v5) # label("p9loop 0 1868 ID<397624>"). [assumption]. 2145 K(x,y) / (z \ 1) = K(x,y) * z # label("p9loop 0 1869 ID<192873>"). [assumption]. 2147 x * a(y,z,u) != w | a(y,z,u) * x = w # label("p9loop 0 1871 ID<398222>"). [assumption]. 2148 T(x * a(y,z,u),x) = a(y,z,u) * x # label("p9loop 0 1872 ID<344223>"). [assumption]. 2150 L(x,L(y,z,y),u) = L(x,y,u) # label("p9loop 0 1874 ID<367705>"). [assumption]. 2153 T(K(x,y) * z,z) = z * K(x,y) # label("p9loop 0 1877 ID<58001>"). [assumption]. 2155 K(x / T(y * z,y),u) = K(x / (z * y),u) # label("p9loop 0 1879 ID<110702>"). [assumption]. 2157 K(x / (y * (z \ 1)),u) = K(z * (T(x,z) / y),u) # label("p9loop 0 1881 ID<400504>"). [assumption]. 2170 K(x,y \ T(z,y)) = K(x,z / y) # label("p9loop 0 1894 ID<67777>"). [assumption]. 2175 K(T(x / y,x) \ z,u) = K(x \ (y * z),u) # label("p9loop 0 1899 ID<107958>"). [assumption]. 2182 R(x,L(y,z,y),u) = R(x,y,u) # label("p9loop 0 1906 ID<367872>"). [assumption]. 2185 (x \ y) \ (y / x) = K(x,x \ y) # label("p9loop 0 1909 ID<32502>"). [assumption]. 2186 K(x,T(x \ 1,y)) = K(x,x \ 1) # label("p9loop 0 1910 ID<32945>"). [assumption]. 2187 K(x,T(y \ z,z)) = K(x,z / y) # label("p9loop 0 1911 ID<37318>"). [assumption]. 2188 x * (K(x,y) * z) = T(x,y) * z # label("p9loop 0 1912 ID<38712>"). [assumption]. 2189 T(x,y) * (K(y,x) * z) = x * z # label("p9loop 0 1913 ID<38858>"). [assumption]. 2190 K(x,y) * (T(y,x) * z) = y * z # label("p9loop 0 1914 ID<38859>"). [assumption]. 2191 T(x,y) * (x \ z) = K(x,y) * z # label("p9loop 0 1915 ID<43714>"). [assumption]. 2192 K(x,y) * (T(x,y) \ z) = x \ z # label("p9loop 0 1916 ID<43869>"). [assumption]. 2193 (x / y) * T(y,z) = x * K(y,z) # label("p9loop 0 1917 ID<44351>"). [assumption]. 2195 T(x \ y,x) = ((x \ y) \ y) \ y # label("p9loop 0 1919 ID<47217>"). [assumption]. 2197 T(x,y) * L(T(x,y) \ z,u,w) = x * L(x \ z,u,w) # label("p9loop 0 1921 ID<409446>"). [assumption]. 2199 T(x,y) * R(T(x,y) \ z,u,w) = x * R(x \ z,u,w) # label("p9loop 0 1923 ID<412893>"). [assumption]. 2200 T(x,y) * (L(T(x,y),z,u) \ w) = x * (L(x,z,u) \ w) # label("p9loop 0 1924 ID<409444>"). [assumption]. 2201 K(x,y) * ((T(y,x) * z) / u) = (y * z) / u # label("p9loop 0 1925 ID<411530>"). [assumption]. 2202 L(x,y,z \ (u \ (T(w,v5) * v6))) = L(x,y,z \ (u \ (w * v6))) # label("p9loop 0 1926 ID<418180>"). [assumption]. 2203 K(x,y) * ((x * z) / u) = (T(x,y) * z) / u # label("p9loop 0 1927 ID<417795>"). [assumption]. 2204 a(x,y,z) * ((y * z) * x) = (y * z) * R(x,y,z) # label("p9loop 0 1928 ID<413845>"). [assumption]. 2205 a(x,y,z) * ((z * y) * x) = (z * y) * R(x,y,z) # label("p9loop 0 1929 ID<419708>"). [assumption]. 2206 ((x * y) * z) * a(z,y,x) = (x * y) * R(z,y,x) # label("p9loop 0 1930 ID<420113>"). [assumption]. 2208 ((x * y) * z) \ ((x * y) * R(z,y,x)) = a(z,y,x) # label("p9loop 0 1932 ID<420114>"). [assumption]. 2232 (x \ T(y,z)) / T(y,z) = (x \ y) / y # label("p9loop 0 1955 ID<413259>"). [assumption]. 2235 K(K(x * y,x) * z,u) = K(K(y,x) * z,u) # label("p9loop 0 1958 ID<178412>"). [assumption]. 2248 T(x,((y \ z) \ z) * u) = T(x,T(y,z) * u) # label("p9loop 0 1971 ID<112023>"). [assumption]. 2260 T(x,y \ (T(z,z * u) \ w)) = T(x,y \ (T(z,u) \ w)) # label("p9loop 0 1983 ID<115268>"). [assumption]. 2262 T(x,y \ (z / T(u,z))) = T(x,y \ (u \ z)) # label("p9loop 0 1985 ID<123590>"). [assumption]. 2272 K(x,K(y * z,y) * u) = K(x,K(z,y) * u) # label("p9loop 0 1995 ID<159919>"). [assumption]. 2274 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)) # label("p9loop 0 1997 ID<107140>"). [assumption]. 2279 T(x,y * T(z * u,z)) = T(x,y * (u * z)) # label("p9loop 0 2002 ID<57750>"). [assumption]. 2283 K(x,T(y * z,y) \ u) = K(x,y \ (z \ u)) # label("p9loop 0 2006 ID<100660>"). [assumption]. 2285 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)) # label("p9loop 0 2008 ID<124957>"). [assumption]. 2291 K(T(x,y) / y,z) = K(y \ x,z) # label("p9loop 0 2014 ID<69222>"). [assumption]. 2293 T(x,T(y,y * z) \ u) = T(x,T(y,z) \ u) # label("p9loop 0 2016 ID<94691>"). [assumption]. 2294 T(x,y * ((z \ u) \ u)) = T(x,y * T(z,u)) # label("p9loop 0 2017 ID<226283>"). [assumption]. 2299 K(x,y) * (x * z) = T(x,y) * z # label("p9loop 0 2022 ID<52512>"). [assumption]. 2305 x / (x * K(y,z)) = K(z,T(y,x)) # label("p9loop 0 2028 ID<56514>"). [assumption]. 2309 K(x,y) * (x \ 1) = x \ K(x,y) # label("p9loop 0 2032 ID<60360>"). [assumption]. 2310 K(x,y) * (y \ z) = T(y,x) \ z # label("p9loop 0 2033 ID<61976>"). [assumption]. 2311 a(x,(y \ z) \ z,u) = a(x,y,u) # label("p9loop 0 2034 ID<64391>"). [assumption]. 2312 a((x \ y) * x,z,u) = a(y,z,u) # label("p9loop 0 2035 ID<65130>"). [assumption]. 2314 T(x \ K(y,x \ 1),y) = x \ 1 # label("p9loop 0 2037 ID<68578>"). [assumption]. 2315 T(x,K(y,y * z)) = T(x,K(y,z)) # label("p9loop 0 2038 ID<68883>"). [assumption]. 2316 T(1 / x,T(y,x)) = T(1 / x,y) # label("p9loop 0 2039 ID<69012>"). [assumption]. 2318 a(x,L(K(y,z) * u,w,v5),v6) = a(x,L(u,w,v5),v6) # label("p9loop 0 2041 ID<458913>"). [assumption]. 2320 a(x,L(y / z,u,w),v5) = a(x,L(z \ y,u,w),v5) # label("p9loop 0 2043 ID<461798>"). [assumption]. 2321 a(x,T(y,z) * u,w) = a(x,y * u,w) # label("p9loop 0 2044 ID<458920>"). [assumption]. 2322 a(x,(y * T(z,u)) * w,v5) = a(x,(y * z) * w,v5) # label("p9loop 0 2045 ID<461956>"). [assumption]. 2323 a(x,(y * (z / u)) * w,v5) = a(x,(y * (u \ z)) * w,v5) # label("p9loop 0 2046 ID<462027>"). [assumption]. 2324 a(x,(y \ (z / u)) * w,v5) = a(x,(y \ (u \ z)) * w,v5) # label("p9loop 0 2047 ID<462134>"). [assumption]. 2325 a(x,y * (z \ (u / w)),v5) = a(x,y * (z \ (w \ u)),v5) # label("p9loop 0 2048 ID<462186>"). [assumption]. 2326 a(x,y * (z * (u / w)),v5) = a(x,y * (z * (w \ u)),v5) # label("p9loop 0 2049 ID<462133>"). [assumption]. 2327 a(x,y * (T(z,u) * w),v5) = a(x,y * (z * w),v5) # label("p9loop 0 2050 ID<462050>"). [assumption]. 2328 a(x,y * (z \ T(u,w)),v5) = a(x,y * (z \ u),v5) # label("p9loop 0 2051 ID<462235>"). [assumption]. 2329 a(x,y * ((z \ u) \ u),w) = a(x,y * z,w) # label("p9loop 0 2052 ID<462486>"). [assumption]. 2330 a(x,y * (z / u),w) = a(x,y * (u \ z),w) # label("p9loop 0 2053 ID<462087>"). [assumption]. 2331 a(x,(T(y,z) * u) * w,v5) = a(x,(y * u) * w,v5) # label("p9loop 0 2054 ID<462016>"). [assumption]. 2332 a(x,(y / z) * u,w) = a(x,(z \ y) * u,w) # label("p9loop 0 2055 ID<461948>"). [assumption]. 2333 a(x,y * z,u) = a(x,z * y,u) # label("p9loop 0 2056 ID<461939>"). [assumption]. 2346 T(x,y / T(z,y)) = T(x,z \ y) # label("p9loop 0 2069 ID<109643>"). [assumption]. 2356 T(x,T(y,z) / z) = T(x,z \ y) # label("p9loop 0 2079 ID<109369>"). [assumption]. 2358 (x * a(y,z,y)) * u = x * (a(y,z,y) * u) # label("p9loop 0 2081 ID<52499>"). [assumption]. 2360 x / (y * a(z,u,z)) = a(z,u,z) \ (x / y) # label("p9loop 0 2083 ID<472966>"). [assumption]. 2361 x / (a(y,z,y) * u) = a(y,z,y) \ (x / u) # label("p9loop 0 2084 ID<473238>"). [assumption]. 2362 a(x,y,x) \ (z \ a(x,y,x)) = z \ 1 # label("p9loop 0 2085 ID<473255>"). [assumption]. 2364 (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u) # label("p9loop 0 2087 ID<474184>"). [assumption]. 2365 (x * (a(y,z,y) \ u)) * w = (x * u) * (a(y,z,y) \ w) # label("p9loop 0 2088 ID<474865>"). [assumption]. 2366 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u) # label("p9loop 0 2089 ID<344959>"). [assumption]. 2367 a(x,y,x) * (z \ 1) = z \ a(x,y,x) # label("p9loop 0 2090 ID<473893>"). [assumption]. 2369 L(x,y * a(z,u,z),w) = L(x,y,w) # label("p9loop 0 2092 ID<476813>"). [assumption]. 2372 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u) # label("p9loop 0 2095 ID<472713>"). [assumption]. 2374 a(x,y,x) * (z * u) = z * (a(x,y,x) * u) # label("p9loop 0 2097 ID<202913>"). [assumption]. 2375 a(x,y,a(z,u,z) * w) = a(x,y,w) # label("p9loop 0 2098 ID<478216>"). [assumption]. 2376 a(x,y,z * (a(u,w,u) \ v5)) = a(x,y,z * v5) # label("p9loop 0 2099 ID<478688>"). [assumption]. 2377 a(x,a(y,z,y) * u,w) = a(x,u,w) # label("p9loop 0 2100 ID<478217>"). [assumption]. 2378 a(x,y * (a(z,u,z) \ w),v5) = a(x,y * w,v5) # label("p9loop 0 2101 ID<478838>"). [assumption]. 2379 L(x,y,z * (a(u,w,u) * v5)) = L(x,y,z * v5) # label("p9loop 0 2102 ID<478370>"). [assumption]. 2380 a(x,y,x) * (z * u) = z * (u * a(x,y,x)) # label("p9loop 0 2103 ID<202829>"). [assumption]. 2381 R(x,y,z * a(u,w,u)) = R(x,y,z) # label("p9loop 0 2104 ID<479029>"). [assumption]. 2382 (x * y) * a(z,u,z) = x * (y * a(z,u,z)) # label("p9loop 0 2105 ID<52500>"). [assumption]. 2384 a(L(x,y,x) * z,u,w) = a(x * z,u,w) # label("p9loop 0 2107 ID<367703>"). [assumption]. 2386 L(x,y,a(z,u,z) * w) = L(x,y,w) # label("p9loop 0 2109 ID<478369>"). [assumption]. 2387 (a(x,y,x) * z) / u = a(x,y,x) * (z / u) # label("p9loop 0 2110 ID<472054>"). [assumption]. 2388 (a(x,y,x) * z) * u = a(x,y,x) * (z * u) # label("p9loop 0 2111 ID<52498>"). [assumption]. 2389 a(x * (y * a(z,u,z)),w,v5) = a(x * y,w,v5) # label("p9loop 0 2112 ID<480625>"). [assumption]. 2399 K(x,T(T(y,z) * x,u)) = K(x,T(y * x,u * z)) # label("p9loop 0 2122 ID<454675>"). [assumption]. 2405 K(x \ T(y,z),x) = K(x \ y,T(x,z)) # label("p9loop 0 2128 ID<98901>"). [assumption]. 2408 K(x,x \ T(y,z)) = K(x,T(x \ y,z)) # label("p9loop 0 2131 ID<193987>"). [assumption]. 2410 K(x \ (y \ (x * z)),u) = K(T(y,x) \ z,u) # label("p9loop 0 2133 ID<83994>"). [assumption]. 2412 L(x,y * ((z \ u) * z),w) = L(x,y * u,w) # label("p9loop 0 2135 ID<232270>"). [assumption]. 2425 x \ (K(y,x) * z) = T(x,y) \ z # label("p9loop 0 2148 ID<72397>"). [assumption]. 2426 T(x,T(x,y) \ z) = T(x,x \ z) # label("p9loop 0 2149 ID<75082>"). [assumption]. 2427 T(x,y) \ (x * z) = K(y,x) * z # label("p9loop 0 2150 ID<75899>"). [assumption]. 2428 T(x,x * K(y,z)) = T(x,K(y,z)) # label("p9loop 0 2151 ID<76124>"). [assumption]. 2429 K(x / (y * x),z) = K(y \ 1,z) # label("p9loop 0 2152 ID<76351>"). [assumption]. 2430 K(T(x,y) \ y,z) = K(y / x,z) # label("p9loop 0 2153 ID<79397>"). [assumption]. 2431 K(x \ T(y,x),z) = K(y / x,z) # label("p9loop 0 2154 ID<79446>"). [assumption]. 2433 T(x,T(y,x * z)) = T(x,T(y,z)) # label("p9loop 0 2156 ID<82222>"). [assumption]. 2435 (L(x,y,z) \ x) * L(x,y,z) = x # label("p9loop 0 2158 ID<84508>"). [assumption]. 2436 x / L(x,y,z) = L(x,y,z) \ x # label("p9loop 0 2159 ID<84532>"). [assumption]. 2442 (L(x,y,z) \ u) * L(x,y,z) = (x \ u) * x # label("p9loop 0 2165 ID<496035>"). [assumption]. 2446 a(x,y,x) \ (z / x) = z / R(x,y,x) # label("p9loop 0 2169 ID<491827>"). [assumption]. 2448 a(x,y,x) * (z \ x) = z \ R(x,y,x) # label("p9loop 0 2171 ID<491806>"). [assumption]. 2454 x / L(L(x,y,z),u,w) = L(L(x,y,z),u,w) \ x # label("p9loop 0 2177 ID<496855>"). [assumption]. 2455 x / L(T(y,y \ x),z,u) = L(y,z,u) \ x # label("p9loop 0 2178 ID<500814>"). [assumption]. 2457 x / L(y \ x,z,u) = L(x / y,z,u) \ x # label("p9loop 0 2180 ID<501627>"). [assumption]. 2458 (x * y) / L(T(x,y),z,u) = L(x,z,u) \ (x * y) # label("p9loop 0 2181 ID<501594>"). [assumption]. 2463 (x * y) * L(z,x,y) = y * (T(x,y) * z) # label("p9loop 0 2186 ID<203895>"). [assumption]. 2468 x * L(y,z,z \ x) = (x / z) * (z * y) # label("p9loop 0 2191 ID<506153>"). [assumption]. 2469 (x * y) \ (K(x,y) * z) = (y * x) \ z # label("p9loop 0 2192 ID<119677>"). [assumption]. 2472 a(x,y,(z * u) \ w) = a(x,y,(u * z) \ w) # label("p9loop 0 2195 ID<510074>"). [assumption]. 2473 a(x,y,((z \ u) * z) \ w) = a(x,y,u \ w) # label("p9loop 0 2196 ID<511484>"). [assumption]. 2474 (x * y) \ ((T(x,y) * z) * u) = (y * x) \ ((x * z) * u) # label("p9loop 0 2197 ID<510443>"). [assumption]. 2475 ((x * y) \ z) * K(x,y) = T(z / (y * x),x * y) # label("p9loop 0 2198 ID<509793>"). [assumption]. 2476 (x * y) * ((y * x) \ z) = K(x,y) * z # label("p9loop 0 2199 ID<509712>"). [assumption]. 2477 (x * y) / (z \ (y * x)) = K(x,y) * z # label("p9loop 0 2200 ID<514455>"). [assumption]. 2478 K(x,y) * ((y * x) * z) = (x * y) * z # label("p9loop 0 2201 ID<52529>"). [assumption]. 2479 a(((x * y) * z) * u,w,v5) = a(u * ((y * x) * z),w,v5) # label("p9loop 0 2202 ID<515996>"). [assumption]. 2480 a(x * ((y * z) * u),w,v5) = a(x * (u * (z * y)),w,v5) # label("p9loop 0 2203 ID<516563>"). [assumption]. 2481 a(((x * y) * z) * u,w,v5) = a(u * (z * (y * x)),w,v5) # label("p9loop 0 2204 ID<516506>"). [assumption]. 2483 K(x,y) * (((y * x) * z) * u) = ((x * y) * z) * u # label("p9loop 0 2206 ID<515679>"). [assumption]. 2487 T(x,y) * ((y * x) * z) = x * ((x * y) * z) # label("p9loop 0 2210 ID<515470>"). [assumption]. 2488 a(x,y,z * (((u * w) * v5) * w)) = a(x,y,z * (w * ((w * u) * v5))) # label("p9loop 0 2211 ID<520415>"). [assumption]. 2489 (x * y) / L(z,z \ y,x) = x * (y / z) # label("p9loop 0 2212 ID<344875>"). [assumption]. 2490 L(x,x \ y,z) = (z * (y / x)) \ (z * y) # label("p9loop 0 2213 ID<70162>"). [assumption]. 2492 ((x * y) * z) / L(x,y,z) = z * (T(x * y,z) / x) # label("p9loop 0 2215 ID<524571>"). [assumption]. 2499 K(x,y / (x * z)) = K(x,x \ (y / z)) # label("p9loop 0 2222 ID<89478>"). [assumption]. 2503 R(x,y \ z,y) * z = (x * (z / y)) * y # label("p9loop 0 2226 ID<530354>"). [assumption]. 2504 K(x,y) * (z * (y * x)) = T(z * (x * y),K(x,y)) # label("p9loop 0 2227 ID<509747>"). [assumption]. 2508 a(x,y * (z * u),w) = a(x,y * (u * z),w) # label("p9loop 0 2231 ID<533445>"). [assumption]. 2509 L(x,y,z * (u * w)) = L(x,y,z * (w * u)) # label("p9loop 0 2232 ID<532977>"). [assumption]. 2511 a((x * (y * z)) \ u,w,v5) = a((x * (z * y)) \ u,w,v5) # label("p9loop 0 2234 ID<535214>"). [assumption]. 2513 K(x / (y * z),y) = K(y \ (x / z),y) # label("p9loop 0 2236 ID<110217>"). [assumption]. 2517 (x / (y * z)) * K(y,z) = x / (z * y) # label("p9loop 0 2240 ID<514753>"). [assumption]. 2518 ((x * y) * z) / (z * y) = R(x * K(y,z),y,z) # label("p9loop 0 2241 ID<538248>"). [assumption]. 2520 a(x,y,z \ R(u,w,v5)) = a(x,y,z \ L(u,w,v5)) # label("p9loop 0 2243 ID<540374>"). [assumption]. 2522 a(x,y,R(z,u,w) * v5) = a(x,y,L(z,u,w) * v5) # label("p9loop 0 2245 ID<540690>"). [assumption]. 2523 a(x,y,z * R(u,w,v5)) = a(x,y,z * L(u,w,v5)) # label("p9loop 0 2246 ID<540955>"). [assumption]. 2525 a(x * R(y,z,u),w,v5) = a(x * L(y,z,u),w,v5) # label("p9loop 0 2248 ID<541090>"). [assumption]. 2527 a(x * (y * R(z,u,w)),v5,v6) = a(x * (y * L(z,u,w)),v5,v6) # label("p9loop 0 2250 ID<541464>"). [assumption]. 2529 a(x * (R(y,z,u) * w),v5,v6) = a(x * (L(y,z,u) * w),v5,v6) # label("p9loop 0 2252 ID<541539>"). [assumption]. 2530 a((x * R(y,z,u)) * w,v5,v6) = a((x * L(y,z,u)) * w,v5,v6) # label("p9loop 0 2253 ID<541527>"). [assumption]. 2531 a(R(x,y,z),u,w) = a(L(x,y,z),u,w) # label("p9loop 0 2254 ID<541283>"). [assumption]. 2532 a(R(x,y,z) * u,w,v5) = a(L(x,y,z) * u,w,v5) # label("p9loop 0 2255 ID<541291>"). [assumption]. 2534 L(x,y,z \ R(u,w,v5)) = L(x,y,z \ L(u,w,v5)) # label("p9loop 0 2257 ID<541858>"). [assumption]. 2535 L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)) # label("p9loop 0 2258 ID<542117>"). [assumption]. 2536 a(x,y,R(z,u,w)) = a(x,y,L(z,u,w)) # label("p9loop 0 2259 ID<539841>"). [assumption]. 2537 a(x * ((y * y) \ z),u,w) = a(x * z,u,w) # label("p9loop 0 2260 ID<541612>"). [assumption]. 2541 L(x,y,L(z,u,z)) = L(x,y,z) # label("p9loop 0 2264 ID<542302>"). [assumption]. 2542 T(x,T(y,z * x)) = T(x,T(y,z)) # label("p9loop 0 2265 ID<88689>"). [assumption]. 2543 K(x,y / (z * y)) = K(x,z \ 1) # label("p9loop 0 2266 ID<89106>"). [assumption]. 2544 R(x,y,z) / x = x \ R(x,y,z) # label("p9loop 0 2267 ID<90152>"). [assumption]. 2545 T(x,T(x,y) * z) = T(x,x * z) # label("p9loop 0 2268 ID<90159>"). [assumption]. 2546 T(x / y,T(x,y)) = T(x / y,x) # label("p9loop 0 2269 ID<90176>"). [assumption]. 2547 T(x,y * T(x,z)) = T(x,x * y) # label("p9loop 0 2270 ID<90200>"). [assumption]. 2548 K(x \ 1,y) / x = T(1 / x,y) # label("p9loop 0 2271 ID<90430>"). [assumption]. 2550 K(x \ T(y,z),y) = K(x \ y,y) # label("p9loop 0 2273 ID<90732>"). [assumption]. 2551 T(x * T(x \ y,y),x \ y) = y # label("p9loop 0 2274 ID<93273>"). [assumption]. 2552 T(L(x,y,x) * y,x) = y * x # label("p9loop 0 2275 ID<546219>"). [assumption]. 2553 K(T(x,y) \ z,x) = K(x \ z,x) # label("p9loop 0 2276 ID<94317>"). [assumption]. 2554 T(x,T(x \ 1,y)) = T(x,x \ 1) # label("p9loop 0 2277 ID<94410>"). [assumption]. 2556 T((x \ y) * x,y) = (x \ y) * x # label("p9loop 0 2279 ID<94810>"). [assumption]. 2558 a(x * (y * (y * z)),u,w) = a(x * L(z,y,y),u,w) # label("p9loop 0 2281 ID<542467>"). [assumption]. 2559 a(x * (y * (z * y)),u,w) = a(x * L(z,y,y),u,w) # label("p9loop 0 2282 ID<542546>"). [assumption]. 2560 a(x,y,L(z * u,w,v5) * v6) = a(x,y,v6 * L(u * z,w,v5)) # label("p9loop 0 2283 ID<550018>"). [assumption]. 2561 a((x * y) * y,z,u) = a(L(x,y,y),z,u) # label("p9loop 0 2284 ID<550178>"). [assumption]. 2562 a(x * (y * x),z,u) = a(L(y,x,x),z,u) # label("p9loop 0 2285 ID<550080>"). [assumption]. 2564 a(x * L((y / z) \ u,w,v5),v6,v7) = a(x * L((z \ y) \ u,w,v5),v6,v7) # label("p9loop 0 2287 ID<550821>"). [assumption]. 2565 a(x * ((y / z) \ u),w,v5) = a(x * ((z \ y) \ u),w,v5) # label("p9loop 0 2288 ID<550883>"). [assumption]. 2568 L(x,y,z * R(u,w,v5)) = L(x,y,z * L(u,w,v5)) # label("p9loop 0 2291 ID<551381>"). [assumption]. 2570 L(x,y,z * (u * R(w,v5,v6))) = L(x,y,z * (u * L(w,v5,v6))) # label("p9loop 0 2293 ID<551526>"). [assumption]. 2583 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z # label("p9loop 0 2306 ID<61981>"). [assumption]. 2586 ((x \ y) * x) \ (((x \ y) * z) * u) = y \ (((y / x) * z) * u) # label("p9loop 0 2309 ID<555573>"). [assumption]. 2587 K(x,x \ y) * (((x \ y) * z) * u) = ((y / x) * z) * u # label("p9loop 0 2310 ID<557121>"). [assumption]. 2588 a(x,y,z * (((u / w) * v5) * v6)) = a(x,y,z * (((w \ u) * v5) * v6)) # label("p9loop 0 2311 ID<557867>"). [assumption]. 2589 a(x,y,z * ((u * (w / v5)) * v6)) = a(x,y,z * ((u * (v5 \ w)) * v6)) # label("p9loop 0 2312 ID<558540>"). [assumption]. 2590 a(x,y,z * (u * (w * (v5 / v6)))) = a(x,y,z * (u * (w * (v6 \ v5)))) # label("p9loop 0 2313 ID<558634>"). [assumption]. 2592 K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z # label("p9loop 0 2315 ID<232257>"). [assumption]. 2593 K(x,x \ y) * ((y \ z) * u) = (((x \ y) * x) \ z) * u # label("p9loop 0 2316 ID<559135>"). [assumption]. 2594 (x * (y / x)) \ ((y / x) * z) = y \ ((x \ y) * z) # label("p9loop 0 2317 ID<558927>"). [assumption]. 2595 x * (K(y \ x,y) * z) = ((y \ x) * y) * z # label("p9loop 0 2318 ID<193550>"). [assumption]. 2599 a(x,y,(z * (((u \ w) * u) * v5)) * v6) = a(x,y,v6 * (z * (v5 * w))) # label("p9loop 0 2322 ID<562752>"). [assumption]. 2600 (x * y) \ ((y * x) * z) = K(y,x) * z # label("p9loop 0 2323 ID<514153>"). [assumption]. 2602 R(x,y,x) * (x \ z) = z * a(x,y,x) # label("p9loop 0 2325 ID<491779>"). [assumption]. 2603 (x / y) * R(y,z,y) = x * a(y,z,y) # label("p9loop 0 2326 ID<491530>"). [assumption]. 2608 a(x,y,x) * (z * x) = z * R(x,y,x) # label("p9loop 0 2331 ID<491828>"). [assumption]. 2609 x \ (a(x,y,x) \ z) = R(x,y,x) \ z # label("p9loop 0 2332 ID<564126>"). [assumption]. 2610 K(x,T(y / (z \ u),w)) = K(x,T((u / y) \ z,w)) # label("p9loop 0 2333 ID<104787>"). [assumption]. 2614 T(x,T((y \ z) \ u,w)) = T(x,T(z \ (y * u),w)) # label("p9loop 0 2337 ID<95428>"). [assumption]. 2621 T(x,y * (x / z)) = T(x,y * (z \ x)) # label("p9loop 0 2344 ID<571934>"). [assumption]. 2623 K(x * y,K(y,x) * z) = K(x * y,z) # label("p9loop 0 2346 ID<323987>"). [assumption]. 2625 K(x,T((y \ z) \ u,w)) = K(x,T(z \ (y * u),w)) # label("p9loop 0 2348 ID<84020>"). [assumption]. 2626 a(x,y,x) * K(y,x) = K(x * y,x) # label("p9loop 0 2349 ID<395125>"). [assumption]. 2632 x * (L(x,y,x) \ z) = z * a(x,y,x) # label("p9loop 0 2355 ID<575163>"). [assumption]. 2633 a(x,y,x) * (x \ z) = L(x,y,x) \ z # label("p9loop 0 2356 ID<577347>"). [assumption]. 2645 (x \ y) * a(x,z,x) = L(x,z,x) \ y # label("p9loop 0 2368 ID<578026>"). [assumption]. 2646 (x / y) * a(y,z,y) = x / L(y,z,y) # label("p9loop 0 2369 ID<577499>"). [assumption]. 2647 (x / y) * (a(y,z,y) * u) = (x / L(y,z,y)) * u # label("p9loop 0 2370 ID<584771>"). [assumption]. 2649 (K(x,y) / z) * K(u,K(z,w)) = T(K(x,y) / z,K(u,w)) # label("p9loop 0 2372 ID<581303>"). [assumption]. 2650 (K(x,y) / z) * K(z,K(u,w)) = T(K(x,y) / z,K(u,w)). [copy(2649),rewrite([45(4)])]. 2665 T(x,y \ (y / z)) = T(x,z \ 1) # label("p9loop 0 2387 ID<96657>"). [assumption]. 2667 K(x \ (x / y),z) = K(y \ 1,z) # label("p9loop 0 2389 ID<100054>"). [assumption]. 2668 K(x,y \ (y / z)) = K(x,z \ 1) # label("p9loop 0 2390 ID<101005>"). [assumption]. 2671 T(x,y / (z * y)) = T(x,z \ 1) # label("p9loop 0 2393 ID<109453>"). [assumption]. 2673 T(K(x,y \ 1) / y,x) = 1 / y # label("p9loop 0 2395 ID<116577>"). [assumption]. 2675 (1 / x) * K(x,y) = K(x,y) / x # label("p9loop 0 2397 ID<116993>"). [assumption]. 2677 T(x,T(x,y) / z) = T(x,z \ x) # label("p9loop 0 2399 ID<117360>"). [assumption]. 2684 T(x,y) / (1 / y) = x / (K(y,x) / y) # label("p9loop 0 2406 ID<595007>"). [assumption]. 2685 a(x,y,x) \ (z \ x) = z \ L(x,y,x) # label("p9loop 0 2407 ID<588910>"). [assumption]. 2689 x * (a(x,y,x) \ z) = L(x,y,x) * z # label("p9loop 0 2411 ID<587776>"). [assumption]. 2690 a(x,L(y,z,y),u) = a(x,y,u) # label("p9loop 0 2412 ID<602437>"). [assumption]. 2693 L(x,y \ L(z,u,z),w) = L(x,y \ z,w) # label("p9loop 0 2415 ID<603409>"). [assumption]. 2706 (R(x,y,z) \ u) \ u = R((x \ u) \ u,y,z) # label("p9loop 0 2428 ID<609005>"). [assumption]. 2707 K(x,x \ (y * z)) = K(x,y * (x \ z)) # label("p9loop 0 2429 ID<607937>"). [assumption]. 2710 T(x * y,x) / x = y * a(x,y,x) # label("p9loop 0 2432 ID<577979>"). [assumption]. 2711 a(x,y,x) * (y * z) = (T(x * y,x) / x) * z # label("p9loop 0 2433 ID<613008>"). [assumption]. 2717 K(x * y,x) * K(x,y) = a(x,y,x) # label("p9loop 0 2439 ID<235974>"). [assumption]. 2722 T(x,K(y,z) * K(y,u)) = T(x,K(y,z * u)) # label("p9loop 0 2444 ID<618596>"). [assumption]. 2731 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)) # label("p9loop 0 2453 ID<545674>"). [assumption]. 2733 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)) # label("p9loop 0 2455 ID<621781>"). [assumption]. 2737 K(x,y \ R(x,z,u)) = K(x,y \ x) # label("p9loop 0 2459 ID<624169>"). [assumption]. 2740 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,y) # label("p9loop 0 2462 ID<626177>"). [assumption]. 2743 a(x,y,L(x,z,u)) = a(x,y,x) # label("p9loop 0 2465 ID<627147>"). [assumption]. 2780 T(x,y \ K(z,x)) = T(x,y \ 1) # label("p9loop 0 2502 ID<118388>"). [assumption]. 2781 T(x,T(y,x) \ z) = T(x,y \ z) # label("p9loop 0 2503 ID<118398>"). [assumption]. 2783 K(x,T(x,y) * z) = K(x,x * z) # label("p9loop 0 2505 ID<118765>"). [assumption]. 2784 K(x,T(x,y) \ z) = K(x,x \ z) # label("p9loop 0 2506 ID<118804>"). [assumption]. 2786 K(x * T(y,z),y) = K(y * x,y) # label("p9loop 0 2508 ID<118928>"). [assumption]. 2787 K(x * T(y,z),y) = K(x * y,y). [copy(2786),rewrite([980(5,R)])]. 2794 T(x \ 1,T(x,y)) = T(x \ 1,x) # label("p9loop 0 2515 ID<141510>"). [assumption]. 2795 x \ K(x \ 1,y) = T(x \ 1,y) # label("p9loop 0 2516 ID<141669>"). [assumption]. 2797 (x * x) / (y \ 1) = (x * x) * y # label("p9loop 0 2518 ID<192954>"). [assumption]. 2799 K(x / T(y,z),z) = K(x / y,z) # label("p9loop 0 2520 ID<199161>"). [assumption]. 2801 L(x,y,z) * (u * x) = x * (u * L(x,y,z)) # label("p9loop 0 2522 ID<634101>"). [assumption]. 2831 L(x,y,z) * (x \ T(u,x)) = x \ (u * L(x,y,z)) # label("p9loop 0 2553 ID<643887>"). [assumption]. 2832 (x * (L(x,y,z) \ u)) * L(x,y,z) = u * x # label("p9loop 0 2554 ID<653014>"). [assumption]. 2833 L(T(x,y),z,u) \ (x * w) = x * (L(T(x,y),z,u) \ w) # label("p9loop 0 2555 ID<655352>"). [assumption]. 2834 (x \ y) * (L(x \ y,z,u) \ x) = L(y / x,z,u) \ y # label("p9loop 0 2556 ID<654193>"). [assumption]. 2836 T(x * (L(x,y,z) \ u),x) = L(x,y,z) \ (u * x) # label("p9loop 0 2558 ID<654106>"). [assumption]. 2838 x * (L(x,y,z) \ (u * (x \ L(x,y,z)))) = R(u,x \ L(x,y,z),x) # label("p9loop 0 2560 ID<654580>"). [assumption]. 2839 (x * y) / L(y,z,u) = y * (L(y,z,u) \ x) # label("p9loop 0 2561 ID<654112>"). [assumption]. 2846 T(x,y * (z \ (z \ 1))) = T(x,z \ (z \ y)) # label("p9loop 0 2568 ID<659961>"). [assumption]. 2864 L(x,y,L(x,z,u)) = L(x,y,x) # label("p9loop 0 2586 ID<654017>"). [assumption]. 2865 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z) # label("p9loop 0 2587 ID<668074>"). [assumption]. 2866 (x * (L(x,y,z) \ u)) \ (x * u) = L(T(x,u),y,z) # label("p9loop 0 2588 ID<654456>"). [assumption]. 2867 (L(x,y,z) \ u) \ u = L((x \ u) \ u,y,z) # label("p9loop 0 2589 ID<668337>"). [assumption]. 2879 K(x,y / ((z \ u) * w)) = K(x,(u / (y / w)) \ z) # label("p9loop 0 2601 ID<104778>"). [assumption]. 2890 K(x,T(y,z) \ x) = K(x,T(y \ x,z)) # label("p9loop 0 2612 ID<140921>"). [assumption]. 2900 ((x \ y) \ y) * T(x \ y,x) = y # label("p9loop 0 2622 ID<201233>"). [assumption]. 2902 R(x,y,z) * x = x * R(x,y,z) # label("p9loop 0 2624 ID<209435>"). [assumption]. 2903 x * (T(x,y) \ z) = K(y,x) * z # label("p9loop 0 2625 ID<211843>"). [assumption]. 2904 L(x,y,(z \ u) * z) = L(x,y,u) # label("p9loop 0 2626 ID<212768>"). [assumption]. 2906 T(x,y \ (x \ y)) = T(x,x \ 1) # label("p9loop 0 2628 ID<233013>"). [assumption]. 2910 K(x,y) / x = 1 / ((y * x) / y) # label("p9loop 0 2632 ID<233469>"). [assumption]. 2913 K(x,y * T(z,x)) = K(x,y * z) # label("p9loop 0 2635 ID<250165>"). [assumption]. 2917 (x / T(y,z)) * y = x * K(z,y) # label("p9loop 0 2639 ID<299830>"). [assumption]. 2918 R(x,y,(z \ u) * z) = R(x,y,u) # label("p9loop 0 2640 ID<303335>"). [assumption]. 2929 K(x,y / R(T(x,z),u,w)) = K(x,x \ y) # label("p9loop 0 2651 ID<684904>"). [assumption]. 2932 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z) # label("p9loop 0 2654 ID<457691>"). [assumption]. 2934 K(x,y * (K(z,u) / w)) = K(x,y * (w \ K(z,u))) # label("p9loop 0 2656 ID<116538>"). [assumption]. 2936 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y) # label("p9loop 0 2658 ID<60290>"). [assumption]. 2939 K(x,L(T(1 / y,z),u,w) \ v5) = K(x,L(T(y \ 1,z),u,w) \ v5) # label("p9loop 0 2661 ID<502433>"). [assumption]. 2947 K(x,y) * ((y * R(x,z,u)) * w) = (R(x,z,u) * y) * w # label("p9loop 0 2669 ID<516003>"). [assumption]. 2948 K(x,y) * (R(y,z,u) * x) = x * R(y,z,u) # label("p9loop 0 2670 ID<708842>"). [assumption]. 2951 T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u) # label("p9loop 0 2673 ID<74952>"). [assumption]. 2952 K(x,y) * T(z,T(x,u)) = T(K(x,y) * z,T(x,u)) # label("p9loop 0 2674 ID<712531>"). [assumption]. 2955 T(x,K(y,z)) \ K(u,w) = T(x \ K(u,w),K(y,z)) # label("p9loop 0 2677 ID<61963>"). [assumption]. 2958 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1 # label("p9loop 0 2680 ID<715678>"). [assumption]. 2962 T(x * ((y * x) \ y),z) = x * ((y * x) \ y) # label("p9loop 0 2684 ID<366645>"). [assumption]. 2964 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x # label("p9loop 0 2686 ID<366606>"). [assumption]. 2965 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x) # label("p9loop 0 2687 ID<366833>"). [assumption]. 2966 K(x,y) * T(y,T(z,x)) = T(y * K(x,y),z) # label("p9loop 0 2688 ID<56161>"). [assumption]. 2967 (x \ T(y,z)) * K(y,z) = x \ T(T(y,z),z) # label("p9loop 0 2689 ID<236943>"). [assumption]. 2970 T(x,y / (y * z)) = T(x,y \ (z \ y)) # label("p9loop 0 2692 ID<152323>"). [assumption]. 2973 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z) # label("p9loop 0 2695 ID<695597>"). [assumption]. 2977 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z) # label("p9loop 0 2699 ID<728070>"). [assumption]. 2978 (1 / x) * (K(x,y) * z) = (K(x,y) / x) * z # label("p9loop 0 2700 ID<192690>"). [assumption]. 2979 T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)) # label("p9loop 0 2701 ID<72279>"). [assumption]. 2980 1 / T(x,K(y,z)) = T(1 / x,K(y,z)) # label("p9loop 0 2702 ID<310436>"). [assumption]. 2992 a(x,((y / z) * u) \ w,v5) = a(x,((z \ y) * u) \ w,v5) # label("p9loop 0 2714 ID<738751>"). [assumption]. 3007 K(x,y * (z / x)) = K(x,y * (x \ z)) # label("p9loop 0 2729 ID<381068>"). [assumption]. 3012 T(x \ y,(y / x) \ z) = T(x \ y,y \ (x * z)) # label("p9loop 0 2734 ID<493430>"). [assumption]. 3014 (x \ y) * K(z,x) = T(y / T(x,z),x) # label("p9loop 0 2736 ID<694255>"). [assumption]. 3016 (x / T(y,z)) / (x / y) = K(z,T(y,x)) # label("p9loop 0 2738 ID<308159>"). [assumption]. 3022 R(x,y,L(z,u,z)) = R(x,y,z) # label("p9loop 0 2744 ID<695485>"). [assumption]. 3024 R(x,y,(z \ u) \ u) = R(x,y,z) # label("p9loop 0 2746 ID<304904>"). [assumption]. 3025 (x / y) * K(z,y) = x / T(y,z) # label("p9loop 0 2747 ID<305900>"). [assumption]. 3026 (x / T(y,z)) * K(y,z) = x / y # label("p9loop 0 2748 ID<308129>"). [assumption]. 3027 T(x / y,K(z,y * x)) = x / y # label("p9loop 0 2749 ID<308137>"). [assumption]. 3028 ((x * y) / x) / T(x,y) = y / x # label("p9loop 0 2750 ID<326747>"). [assumption]. 3029 (x * y) * T(y,x) = (y * x) * y # label("p9loop 0 2751 ID<327602>"). [assumption]. 3030 T(x,T(y,x) / z) = T(x,y / z) # label("p9loop 0 2752 ID<334066>"). [assumption]. 3031 K(x * K(y,z),x) = K(y,K(z,x)) # label("p9loop 0 2753 ID<350338>"). [assumption]. 3032 K(x * K(y,z),x) = K(x,K(y,z)). [copy(3031),rewrite([46(5),45(5)])]. 3036 (x * y) \ T(x,y) = (y * x) \ x # label("p9loop 0 2757 ID<357274>"). [assumption]. 3040 R(x / y,z,u) \ (x / y) = R(y \ x,z,u) \ (y \ x) # label("p9loop 0 2761 ID<755852>"). [assumption]. 3041 L(x,y,z * (u * z)) = L(x,y,L(u,z,z)) # label("p9loop 0 2762 ID<758352>"). [assumption]. 3048 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)) # label("p9loop 0 2769 ID<754519>"). [assumption]. 3056 T(x,y) / (x * y) = x / (y * x) # label("p9loop 0 2777 ID<538263>"). [assumption]. 3058 T(x,x \ y) / y = x / ((x \ y) * x) # label("p9loop 0 2779 ID<362695>"). [assumption]. 3061 (T(x,y) * z) / T(x,z) = K(x,y) * z # label("p9loop 0 2782 ID<140800>"). [assumption]. 3063 (x \ y) \ (y / (y / x)) = (y / x) \ x # label("p9loop 0 2784 ID<199684>"). [assumption]. 3066 (1 / T(x,y)) \ x = (1 / x) \ T(x,y) # label("p9loop 0 2787 ID<780417>"). [assumption]. 3074 (x * T(y,z)) / (x * y) = K(y,T(z,x)) # label("p9loop 0 2795 ID<44544>"). [assumption]. 3079 T(x,K(y,z)) * z = T(x * z,K(y,z)) # label("p9loop 0 2800 ID<77986>"). [assumption]. 3081 K(x,y) * (z * (u * K(y,x))) = T(z * u,K(x,y)) # label("p9loop 0 2802 ID<56231>"). [assumption]. 3086 T(T(x,y),T(z,y)) = K(x,y) * T(x,z) # label("p9loop 0 2807 ID<4572>"). [assumption]. 3087 K(x,y \ z) * y = y * K(x,z / y) # label("p9loop 0 2808 ID<233633>"). [assumption]. 3089 K(x \ y,z) * y = y * K(y / x,z) # label("p9loop 0 2810 ID<44533>"). [assumption]. 3092 T(x * K(y,T(x,z)),y) = T(x,K(y,z)) # label("p9loop 0 2813 ID<27903>"). [assumption]. 3095 T(x * K(y,z),K(y,z)) = K(y,z) * x # label("p9loop 0 2816 ID<11456>"). [assumption]. 3096 K(x,y) * (z * K(y,x)) = T(z,K(x,y)) # label("p9loop 0 2817 ID<52063>"). [assumption]. 3100 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u # label("p9loop 0 2821 ID<52507>"). [assumption]. 3102 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)) # label("p9loop 0 2823 ID<19704>"). [assumption]. 3103 K(x,K(y,z)) * (y * u) = T(y,K(x,z)) * u # label("p9loop 0 2824 ID<52506>"). [assumption]. 3104 K(x,K(y,z)) * (u \ (y * w)) = u \ (T(y,K(x,z)) * w) # label("p9loop 0 2825 ID<801552>"). [assumption]. 3108 T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x) # label("p9loop 0 2829 ID<245117>"). [assumption]. 3114 T(x,x \ (y \ x)) = T(x,y \ 1) # label("p9loop 0 2835 ID<589429>"). [assumption]. 3115 (x \ (y \ x)) * T(x,y \ 1) = y \ x # label("p9loop 0 2836 ID<723021>"). [assumption]. 3116 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x # label("p9loop 0 2837 ID<808878>"). [assumption]. 3117 (x \ K(x,y)) \ y = (x \ 1) \ T(y,x) # label("p9loop 0 2838 ID<809714>"). [assumption]. 3121 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y) # label("p9loop 0 2842 ID<808625>"). [assumption]. 3122 (x \ y) / T(y,x \ 1) = y \ (x \ y) # label("p9loop 0 2843 ID<119095>"). [assumption]. 3124 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z) # label("p9loop 0 2845 ID<65087>"). [assumption]. 3127 T(x,y) * ((x * z) / u) = x * ((T(x,y) * z) / u) # label("p9loop 0 2848 ID<418625>"). [assumption]. 3128 K(x,y) * (z * K(x,z)) = (T(x,y) * z) / x # label("p9loop 0 2849 ID<118807>"). [assumption]. 3129 x * L(T(y,T(x,z)),u,w) = T(L(y,u,w) * x,K(x,z)) # label("p9loop 0 2850 ID<4365>"). [assumption]. 3130 (x \ y) * ((y / x) \ z) = K(x \ y,x) * z # label("p9loop 0 2851 ID<57518>"). [assumption]. 3133 T(x / (x / (y / z)),z) = x / (x / (z \ y)) # label("p9loop 0 2854 ID<19645>"). [assumption]. 3136 L(x,x \ y,x) \ y = y / T(x,y) # label("p9loop 0 2857 ID<501858>"). [assumption]. 3140 R(1 / x,x,y) = y / (x * y) # label("p9loop 0 2861 ID<766358>"). [assumption]. 3141 R(1 / x,x,y) \ y = x * y # label("p9loop 0 2862 ID<830393>"). [assumption]. 3142 T(x,T(y,x) * z) = T(x,y * z) # label("p9loop 0 2863 ID<381131>"). [assumption]. 3145 T(x \ T(y,x \ y),y) = x \ y # label("p9loop 0 2866 ID<390681>"). [assumption]. 3149 K(x,y \ (x \ y)) = K(x,x \ 1) # label("p9loop 0 2871 ID<452831>"). [assumption]. 3150 a(x,(y \ z) * y,u) = a(x,z,u) # label("p9loop 0 2872 ID<461965>"). [assumption]. 3153 K(x,x \ (y \ x)) = K(x,y \ 1) # label("p9loop 0 2875 ID<494267>"). [assumption]. 3154 L(x,y,z) / x = x \ L(x,y,z) # label("p9loop 0 2876 ID<498992>"). [assumption]. 3155 (x * y) \ K(x,y) = (y * x) \ 1 # label("p9loop 0 2877 ID<509773>"). [assumption]. 3157 (x * y) / T(y,z) = x * K(z,y) # label("p9loop 0 2879 ID<521611>"). [assumption]. 3158 L(x,y,(z * z) * u) = L(x,y,u) # label("p9loop 0 2880 ID<524085>"). [assumption]. 3159 a((x \ (y * (z / u))) * w,v5,v6) = a((x \ (y * (u \ z))) * w,v5,v6) # label("p9loop 0 2881 ID<831502>"). [assumption]. 3160 L(x,y,z \ (u * (T(w,v5) * v6))) = L(x,y,z \ (u * (w * v6))) # label("p9loop 0 2882 ID<831855>"). [assumption]. 3161 R(1 / x,x,y * z) \ (z * y) = x * (z * y) # label("p9loop 0 2883 ID<831780>"). [assumption]. 3162 a((x \ ((y / z) * u)) * w,v5,v6) = a((x \ ((z \ y) * u)) * w,v5,v6) # label("p9loop 0 2884 ID<842089>"). [assumption]. 3163 a(x,L(y,z,u) * (u * z),w) = a(x,u * (z * y),w) # label("p9loop 0 2885 ID<837325>"). [assumption]. 3165 (x \ 1) \ L(1 / x,y,z) = x * L(1 / x,y,z) # label("p9loop 0 2887 ID<832024>"). [assumption]. 3167 (T(x,y) \ z) \ x = (x \ z) \ T(x,y) # label("p9loop 0 2889 ID<836184>"). [assumption]. 3168 L(x,y * L(z,u,z),w) = L(x,y * z,w) # label("p9loop 0 2890 ID<831957>"). [assumption]. 3176 (T(x,y) \ z) \ z = T((x \ z) \ z,y) # label("p9loop 0 2898 ID<453924>"). [assumption]. 3178 K(x,y) * T(z,y) = T(K(x,y) * z,y) # label("p9loop 0 2900 ID<140690>"). [assumption]. 3182 T(x,y) * K(y,z) = T(x * K(y,z),y) # label("p9loop 0 2904 ID<118179>"). [assumption]. 3203 T(x / (x / y),z) \ x = x / T(y,z) # label("p9loop 0 2925 ID<10386>"). [assumption]. 3205 (x / (x / y)) \ (y * z) = K(y,y \ x) * z # label("p9loop 0 2927 ID<75903>"). [assumption]. 3206 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z # label("p9loop 0 2928 ID<686812>"). [assumption]. 3208 (x \ y) \ ((y / x) * z) = K(x,x \ y) * z # label("p9loop 0 2930 ID<493728>"). [assumption]. 3209 x / T(y \ x,z) = T(x / y,z) \ x # label("p9loop 0 2931 ID<827792>"). [assumption]. 3211 K(x,y) * T(z,x) = T(K(x,y) * z,x) # label("p9loop 0 2933 ID<118888>"). [assumption]. 3216 (x \ y) * K(x,y) = K(x,y) * (x \ y) # label("p9loop 0 2938 ID<60265>"). [assumption]. 3218 ((x * y) / x) \ (y * z) = K(y,x) * z # label("p9loop 0 2940 ID<75897>"). [assumption]. 3219 ((x * y) / x) * (y \ z) = K(x,y) * z # label("p9loop 0 2941 ID<816374>"). [assumption]. 3220 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z) # label("p9loop 0 2942 ID<871513>"). [assumption]. 3233 T(x,y) * (T(x,y) * z) = x * (T(T(x,y),y) * z) # label("p9loop 0 2955 ID<203911>"). [assumption]. 3234 T(x,y) \ T(x,z) = K(x,z) * K(y,x) # label("p9loop 0 2956 ID<40663>"). [assumption]. 3236 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z # label("p9loop 0 2958 ID<116795>"). [assumption]. 3245 (x \ (y \ x)) * x = (y \ x) * K(y \ 1,x) # label("p9loop 0 2967 ID<678411>"). [assumption]. 3260 a((x * x) * y,z,u) = a(y,z,u) # label("p9loop 0 2981 ID<524575>"). [assumption]. 3261 L(x,y,z * (u * u)) = L(x,y,z) # label("p9loop 0 2982 ID<534799>"). [assumption]. 3262 (x * x) \ x = 1 / x # label("p9loop 0 2983 ID<908717>"). [assumption]. 3264 L(x,y,z \ 1) = L(x,y,z) # label("p9loop 0 2985 ID<907343>"). [assumption]. 3265 T(x * x,x) = (1 / x) \ x # label("p9loop 0 2986 ID<908964>"). [assumption]. 3266 a(x \ 1,y,z) = a(x,y,z) # label("p9loop 0 2987 ID<910858>"). [assumption]. 3270 L(x,y,a(z,u,z \ 1)) = x # label("p9loop 0 2991 ID<912751>"). [assumption]. 3275 (1 / x) \ L(y,x,x) = x * y # label("p9loop 0 2996 ID<908318>"). [assumption]. 3276 L(x,y,y) / (y * x) = 1 / y # label("p9loop 0 2997 ID<908320>"). [assumption]. 3277 L(x \ y,x,x) = (1 / x) * y # label("p9loop 0 2998 ID<917606>"). [assumption]. 3279 a((x * x) \ y,z,u) = a(y,z,u) # label("p9loop 0 3000 ID<542454>"). [assumption]. 3280 a((x * (y \ 1)) * z,u,w) = a(z * (x * y),u,w) # label("p9loop 0 3001 ID<918524>"). [assumption]. 3281 a(x * (y * (z \ 1)),u,w) = a(x * (y * z),u,w) # label("p9loop 0 3002 ID<918447>"). [assumption]. 3298 L(T(x,y) \ z,x,x) = (1 / T(x,y)) * z # label("p9loop 0 3019 ID<917578>"). [assumption]. 3300 L((x \ y) * K(z,u),x,y) = ((1 / y) * x) \ K(z,u) # label("p9loop 0 3021 ID<908426>"). [assumption]. 3310 L(x \ y,z,x \ y) = L(x \ y,z,x * y) # label("p9loop 0 3031 ID<919084>"). [assumption]. 3324 a(x \ y,x \ y,x) = ((1 / (y / x)) * y) \ x # label("p9loop 0 3045 ID<913664>"). [assumption]. 3325 L(x,x \ y,x \ y) = (1 / (y / x)) * y # label("p9loop 0 3046 ID<907358>"). [assumption]. 3326 L(L(x,y,z),x \ u,x \ u) = L((1 / (u / x)) * u,y,z) # label("p9loop 0 3047 ID<943765>"). [assumption]. 3336 (K(x,y) / z) * (z * u) = L(K(x,y) * u,z,z) # label("p9loop 0 3057 ID<908439>"). [assumption]. 3337 ((x * y) / x) \ z = K(y,x) * (y \ z) # label("p9loop 0 3058 ID<60359>"). [assumption]. 3338 (x / (x / y)) * z = y * (K(y \ x,y) * z) # label("p9loop 0 3059 ID<52509>"). [assumption]. 3340 ((x * y) / x) * z = y * (K(x,y) * z) # label("p9loop 0 3061 ID<52505>"). [assumption]. 3343 T(x,x * y) \ L(x,y,x) = K(y,x) # label("p9loop 0 3064 ID<805022>"). [assumption]. 3346 a(x,y,z * (u * L(w,v5,w))) = a(x,y,z * (u * w)) # label("p9loop 0 3067 ID<959220>"). [assumption]. 3350 K(x \ y,z) * (y / x) = T(y / x,T(z,x)) # label("p9loop 0 3071 ID<1469>"). [assumption]. 3351 T(x,y * z) * K(z,y) = T(x * K(z,y),y * z) # label("p9loop 0 3072 ID<961677>"). [assumption]. 3352 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)) # label("p9loop 0 3073 ID<961953>"). [assumption]. 3353 K(x / y,T(y,z)) = K(y \ x,T(y,z)) # label("p9loop 0 3074 ID<17880>"). [assumption]. 3354 K(x / y,y \ z) = K(y \ x,z / y) # label("p9loop 0 3075 ID<19655>"). [assumption]. 3356 (x / y) * K(y \ x,z) = T(x / y,T(z,y)) # label("p9loop 0 3077 ID<1456>"). [assumption]. 3360 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)) # label("p9loop 0 3081 ID<35999>"). [assumption]. 3361 K(x,y / z) * z = z * K(x,z \ y) # label("p9loop 0 3082 ID<234463>"). [assumption]. 3366 (x * y) / T(T(x,y),z) = K(z,x) * y # label("p9loop 0 3087 ID<410406>"). [assumption]. 3367 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u # label("p9loop 0 3088 ID<71927>"). [assumption]. 3368 x / (y * K(z,T(y,u))) = (x / y) * K(y,T(z,u)) # label("p9loop 0 3089 ID<309826>"). [assumption]. 3371 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)) # label("p9loop 0 3092 ID<3147>"). [assumption]. 3372 (T(x,y) * z) / T(x,y) = z * K(x,T(z,y)) # label("p9loop 0 3093 ID<57072>"). [assumption]. 3379 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)) # label("p9loop 0 3100 ID<36480>"). [assumption]. 3380 a(x * (y * y),z,u) = a(x,z,u) # label("p9loop 0 3101 ID<542466>"). [assumption]. 3384 (x * x) * (1 / y) = (x * x) / y # label("p9loop 0 3105 ID<639543>"). [assumption]. 3389 L(x,y,(z * z) \ u) = L(x,y,u) # label("p9loop 0 3110 ID<763120>"). [assumption]. 3391 ((x * y) / x) * T(y,x) = y * y # label("p9loop 0 3112 ID<841432>"). [assumption]. 3393 x / ((y * y) * x) = (y * y) \ 1 # label("p9loop 0 3114 ID<917370>"). [assumption]. 3395 ((x * x) \ 1) * y = (x * x) \ y # label("p9loop 0 3116 ID<918902>"). [assumption]. 3396 (1 / x) / x = (x * x) \ 1 # label("p9loop 0 3117 ID<987882>"). [assumption]. 3397 a(x \ (y * y),z,u) = a(x,z,u) # label("p9loop 0 3118 ID<922464>"). [assumption]. 3398 1 / (x \ (y * y)) = (y * y) \ x # label("p9loop 0 3119 ID<929495>"). [assumption]. 3400 a(x * (y * ((z * z) \ u)),w,v5) = a((y * u) * x,w,v5) # label("p9loop 0 3121 ID<988496>"). [assumption]. 3401 a((x * (y \ (z * z))) * u,w,v5) = a((x * y) * u,w,v5) # label("p9loop 0 3122 ID<991080>"). [assumption]. 3402 K(x,y * (y * ((y * z) \ u))) = K(x,z \ ((y \ 1) \ u)) # label("p9loop 0 3123 ID<987221>"). [assumption]. 3415 K(x \ y,x * x) = K(x * y,x * x) # label("p9loop 0 3136 ID<987575>"). [assumption]. 3417 1 / L(x,x \ y,y) = (1 / y) * (y / x) # label("p9loop 0 3138 ID<982537>"). [assumption]. 3423 1 / L(x,y,x) = R(1 / x,y,x) # label("p9loop 0 3144 ID<1001406>"). [assumption]. 3426 L(x,y,x) \ 1 = R(x \ 1,y,x) # label("p9loop 0 3147 ID<1001397>"). [assumption]. 3431 ((x * x) \ y) * x = (1 / T(x,y)) * y # label("p9loop 0 3152 ID<988964>"). [assumption]. 3433 L(a(x,y,z),u,u) / u = (1 / u) * a(x,y,z) # label("p9loop 0 3154 ID<1007282>"). [assumption]. 3436 ((x * x) \ y) * x = (K(y,x) / x) * y # label("p9loop 0 3157 ID<1005111>"). [assumption]. 3438 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)) # label("p9loop 0 3159 ID<83002>"). [assumption]. 3439 K(x / y,z) * y = y * K(y \ x,z) # label("p9loop 0 3160 ID<44489>"). [assumption]. 3465 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,x) * w # label("p9loop 0 3186 ID<196003>"). [assumption]. 3466 x * (((x \ y) \ y) \ z) = K(x \ y,x) * z # label("p9loop 0 3187 ID<686851>"). [assumption]. 3467 ((x \ y) \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z) # label("p9loop 0 3188 ID<1018929>"). [assumption]. 3468 (x \ ((1 / x) \ y)) * T(z,y) = z * (x \ ((1 / x) \ y)) # label("p9loop 0 3189 ID<1020327>"). [assumption]. 3475 T(x \ ((1 / x) \ y),y) = x \ ((1 / x) \ y) # label("p9loop 0 3196 ID<1021364>"). [assumption]. 3484 T(x,x \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z) # label("p9loop 0 3205 ID<1020030>"). [assumption]. 3485 K(x,y) * (y * z) = y * (K(x,y) * z) # label("p9loop 0 3206 ID<68428>"). [assumption]. 3488 T(x,y) \ (y * z) = x \ (T(y,x) * z) # label("p9loop 0 3209 ID<411922>"). [assumption]. 3489 K(x,y) * (K(z,T(y,x)) * u) = y * (T(T(y,x),z) \ u) # label("p9loop 0 3210 ID<492512>"). [assumption]. 3491 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z # label("p9loop 0 3212 ID<458014>"). [assumption]. 3493 T(x,y) * (T(y,x) * z) = x * (y * z) # label("p9loop 0 3214 ID<66173>"). [assumption]. 3494 K(x,y) * (T(x,y) * z) = T(T(x,y),y) * z # label("p9loop 0 3215 ID<72467>"). [assumption]. 3499 T(x,y) * (K(x,z) * u) = K(x,y) * (T(x,z) * u) # label("p9loop 0 3220 ID<58415>"). [assumption]. 3501 L(x,y,z \ (u * u)) = L(x,y,z) # label("p9loop 0 3222 ID<982705>"). [assumption]. 3507 x * ((1 / x) \ y) = (x * x) * y # label("p9loop 0 3228 ID<987114>"). [assumption]. 3508 (1 / x) * (x \ y) = (x * x) \ y # label("p9loop 0 3229 ID<987185>"). [assumption]. 3511 x \ ((x * x) * y) = (1 / x) \ y # label("p9loop 0 3232 ID<1048734>"). [assumption]. 3512 x / (y \ (1 / x)) = (x * x) * y # label("p9loop 0 3233 ID<1049310>"). [assumption]. 3513 (x \ 1) * (1 / x) = (x * x) \ 1 # label("p9loop 0 3234 ID<1050405>"). [assumption]. 3514 (x * y) * L(z,y,x) = x * (y * z) # label("p9loop 0 3235 ID<317>"). [assumption]. 3515 L(x \ y,x,z) = (z * x) \ (z * y) # label("p9loop 0 3236 ID<319>"). [assumption]. 3516 R(x,y,z) * (y * z) = (x * y) * z # label("p9loop 0 3237 ID<332>"). [assumption]. 3517 R(x / y,y,z) = (x * z) / (y * z) # label("p9loop 0 3238 ID<333>"). [assumption]. 3521 L(x,y,a(z,u,z * u)) = L(x,y,a(u,u,z)) # label("p9loop 0 3242 ID<1046950>"). [assumption]. 3523 L(x,y,a(z,u,u * z)) = L(x,y,a(u,u,z)) # label("p9loop 0 3244 ID<1061269>"). [assumption]. 3527 L(x,y,z \ L(u,z,z)) = L(x,y,z * u) # label("p9loop 0 3248 ID<1052592>"). [assumption]. 3533 a(x * ((y \ 1) \ z),u,w) = a((y \ z) * x,u,w) # label("p9loop 0 3254 ID<1051976>"). [assumption]. 3535 a(x * (y \ L(z,y,y)),u,w) = a((y * z) * x,u,w) # label("p9loop 0 3256 ID<1064053>"). [assumption]. 3538 (x * (y * a(z,u,w))) \ (x * ((y * v5) * a(z,u,w))) = L(L(v5,y,a(z,u,w)),y * a(z,u,w),x) # label("p9loop 0 3259 ID<1055782>"). [assumption]. 3540 (x \ R(x,y,z)) * (a(x,y,z) \ x) = a(x,y,z) \ R(x,y,z) # label("p9loop 0 3261 ID<1065132>"). [assumption]. 3547 a(x,y,z) * ((a(x,y,z) \ 1) \ u) = (a(x,y,z) * a(x,y,z)) * u # label("p9loop 0 3268 ID<1048897>"). [assumption]. 3560 x \ ((x * T(x,y)) * z) = (K(y,x) / x) \ z # label("p9loop 0 3281 ID<1048864>"). [assumption]. 3561 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y) # label("p9loop 0 3282 ID<1057073>"). [assumption]. 3569 L(x,L(y,z,u),x) = L(x,y,x) # label("p9loop 0 3290 ID<1075786>"). [assumption]. 3570 L(x \ y,x,x \ z) = z \ ((z / x) * y) # label("p9loop 0 3291 ID<1055572>"). [assumption]. 3572 a(x * (y * ((z \ (u * u)) * w)),v5,v6) = a((y * (z * w)) * x,v5,v6) # label("p9loop 0 3293 ID<1077974>"). [assumption]. 3573 L(T(x \ y,z) \ u,x \ y,x) = K(z,x \ y) * (y \ (x * u)) # label("p9loop 0 3294 ID<1077956>"). [assumption]. 3574 L(x,(y \ z) \ u,x) = L(x,z \ (y * u),x) # label("p9loop 0 3295 ID<1078983>"). [assumption]. 3580 L(T(x,y) \ z,x,y) = (x * y) \ (y * z) # label("p9loop 0 3301 ID<1055812>"). [assumption]. 3599 R(x \ 1,y,z) \ (x \ 1) = R(x,y,z) \ x # label("p9loop 0 3320 ID<1110640>"). [assumption]. 3601 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x # label("p9loop 0 3322 ID<1112030>"). [assumption]. 3603 L(R((x \ 1) \ 1,y,z) \ u,R(x,y,z),L(x,y,z)) = (R(x,y,z) \ 1) * u # label("p9loop 0 3324 ID<1112837>"). [assumption]. 3610 x \ (K(x,y) * z) = K(x,y) * (x \ z) # label("p9loop 0 3330 ID<77186>"). [assumption]. 3611 K(x,y) * (x \ (y \ z)) = x \ (T(y,x) \ z) # label("p9loop 0 3331 ID<1120261>"). [assumption]. 3612 ((x \ y) \ y) * (x \ z) = K(x,x \ y) * z # label("p9loop 0 3332 ID<412000>"). [assumption]. 3618 T(x,y) * T(z,x) = K(x,y) * (z * x) # label("p9loop 0 3338 ID<52070>"). [assumption]. 3619 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x) # label("p9loop 0 3339 ID<1125958>"). [assumption]. 3648 T(x,y) * L(T(z,x),u,w) = K(x,y) * (L(z,u,w) * x) # label("p9loop 0 3368 ID<1125963>"). [assumption]. 3664 T(1 / x,x * y) = ((1 / x) \ y) \ y # label("p9loop 0 3384 ID<414744>"). [assumption]. 3666 T(1 / (x / y),x) = ((1 / (x / y)) \ y) \ y # label("p9loop 0 3386 ID<1152295>"). [assumption]. 3668 x / T(1 / y,y * x) = (1 / y) \ x # label("p9loop 0 3388 ID<397699>"). [assumption]. 3680 K(T(x,y) \ K(z,u),w) = K(x \ K(z,u),T(w,y)) # label("p9loop 0 3400 ID<83096>"). [assumption]. 3681 x / T(y \ 1,y * x) = (y \ 1) \ x # label("p9loop 0 3401 ID<208325>"). [assumption]. 3682 T(x \ 1,x * y) = ((x \ 1) \ y) \ y # label("p9loop 0 3402 ID<208461>"). [assumption]. 3686 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)) # label("p9loop 0 3406 ID<775785>"). [assumption]. 3701 K(x,y) * T(y * x,z) = T(x * y,T(z,y)) # label("p9loop 0 3421 ID<356451>"). [assumption]. 3706 T(K(x,y) * z,K(x,y)) = z * K(x,y) # label("p9loop 0 3426 ID<11484>"). [assumption]. 3719 R(x,y,z) * (u * x) = x * (u * R(x,y,z)) # label("p9loop 0 3439 ID<1184806>"). [assumption]. 3726 T(K(x,y) * z,z \ 1) = (z \ 1) \ K(x,y) # label("p9loop 0 3446 ID<244170>"). [assumption]. 3729 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z) # label("p9loop 0 3449 ID<166193>"). [assumption]. 3734 T(x / (x / y),T(z,y)) = T(x / (x / y),z) # label("p9loop 0 3454 ID<2058>"). [assumption]. 3742 T(x * K(x * y,x),y) = R(x,y,x) # label("p9loop 0 3462 ID<1986>"). [assumption]. 3748 R(x,y,z) \ ((x * y) * z) = y * z # label("p9loop 0 3468 ID<10387>"). [assumption]. 3749 (x * (y * z)) / L(z,y,x) = x * y # label("p9loop 0 3469 ID<10390>"). [assumption]. 3750 R(T(x * x,y),z,u) = T(x * x,y) # label("p9loop 0 3470 ID<10856>"). [assumption]. 3759 R(x,y,x) \ T(x * y,x) = T(y,x) # label("p9loop 0 3479 ID<66089>"). [assumption]. 3779 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x) # label("p9loop 0 3499 ID<615289>"). [assumption]. 3780 K(x * y,T(y,z)) = K(y * x,T(y,z)) # label("p9loop 0 3500 ID<2899>"). [assumption]. 3794 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z) # label("p9loop 0 3514 ID<97338>"). [assumption]. 3811 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z) # label("p9loop 0 3531 ID<867030>"). [assumption]. 3816 (x / (y / (y / z))) * z = x * K(z,z \ y) # label("p9loop 0 3536 ID<413387>"). [assumption]. 3823 L(x \ 1,x,y) \ y = T(y * x,x \ 1) # label("p9loop 0 3543 ID<192934>"). [assumption]. 3824 L(T(x \ 1,x * y),x,y) = T(y * x,x \ 1) \ y # label("p9loop 0 3544 ID<1258699>"). [assumption]. 3828 T(x * y,y \ 1) = ((x * y) \ x) \ x # label("p9loop 0 3548 ID<166502>"). [assumption]. 3829 T(x * (1 / y),y) = ((x * (1 / y)) \ x) \ x # label("p9loop 0 3549 ID<1263241>"). [assumption]. 3830 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1) # label("p9loop 0 3550 ID<1198296>"). [assumption]. 3831 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = z * K(z * (x \ y),y \ x) # label("p9loop 0 3551 ID<1268006>"). [assumption]. 3833 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y) # label("p9loop 0 3553 ID<1271177>"). [assumption]. 3834 a(x \ (L(y,z,y) \ u),w,v5) = a(x \ (y \ u),w,v5) # label("p9loop 0 3554 ID<1272515>"). [assumption]. 3835 x / (y * K(z,y)) = (x / y) * K(y,z) # label("p9loop 0 3555 ID<299806>"). [assumption]. 3837 K(x,y * ((T(z,u) \ 1) \ w)) = K(x,y * (T(z \ 1,u) \ w)) # label("p9loop 0 3557 ID<1274517>"). [assumption]. 3838 (x / (y \ z)) * K(y \ z,y) = x / (z / y) # label("p9loop 0 3558 ID<756346>"). [assumption]. 3839 a(x,y,z * ((u / w) \ v5)) = a(x,y,z * ((w \ u) \ v5)) # label("p9loop 0 3559 ID<1275321>"). [assumption]. 3846 x / ((y * z) / y) = (x / z) * K(z,y) # label("p9loop 0 3566 ID<299954>"). [assumption]. 3847 (T(x,y) * y) * x = (x * y) * T(x,y) # label("p9loop 0 3567 ID<64490>"). [assumption]. 3849 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z # label("p9loop 0 3569 ID<64418>"). [assumption]. 3851 T(x,y) * K(x,z) = K(x,y) * T(x,z) # label("p9loop 0 3571 ID<4427>"). [assumption]. 3856 x * T(x \ y,z) = y * K(x \ y,z) # label("p9loop 0 3576 ID<38721>"). [assumption]. 3857 (x * y) / ((z * y) / z) = x * K(y,z) # label("p9loop 0 3577 ID<521766>"). [assumption]. 3859 (x * T(y,z)) * T(z,y) = (x * y) * z # label("p9loop 0 3579 ID<58610>"). [assumption]. 3860 (T(x,y) \ 1) * y = (x \ 1) * T(y,x) # label("p9loop 0 3580 ID<331421>"). [assumption]. 3866 x * ((x \ 1) * y) = L(y,x \ 1,x) # label("p9loop 0 3586 ID<71811>"). [assumption]. 3867 L(x,x \ 1,y) = (y * (1 / x)) \ y # label("p9loop 0 3587 ID<74244>"). [assumption]. 3869 L(x \ (y \ z),x,y) = (y * x) \ z # label("p9loop 0 3589 ID<74774>"). [assumption]. 3881 (1 / x) * a(x,y,z) = a(x,y,z) / x # label("p9loop 0 3601 ID<1303145>"). [assumption]. 3882 a(x,y,z) * (1 / x) = a(x,y,z) / x # label("p9loop 0 3602 ID<1308735>"). [assumption]. 3886 (x \ R(x,y,z)) * K(u,w) = x * R(x \ K(u,w),y,z) # label("p9loop 0 3606 ID<1302754>"). [assumption]. 3889 ((x \ y) * z) \ (K(x \ y,x) * u) = ((y / x) * z) \ u # label("p9loop 0 3609 ID<1303944>"). [assumption]. 3894 a(x,y,z * (((u / w) * v5) \ v6)) = a(x,y,z * (((w \ u) * v5) \ v6)) # label("p9loop 0 3614 ID<1313202>"). [assumption]. 3898 L(x,y,z \ a(z,u,w)) = L(x,y,z * a(z,u,w)) # label("p9loop 0 3618 ID<1303173>"). [assumption]. 3899 (1 / x) \ a(x,y,z) = x * a(x,y,z) # label("p9loop 0 3619 ID<1303163>"). [assumption]. 3902 a(x,y,z) * (x \ 1) = x \ a(x,y,z) # label("p9loop 0 3622 ID<1319060>"). [assumption]. 3911 T(x / (y / z),z \ y) = T((y / z) \ x,K(y,z)) # label("p9loop 0 3631 ID<1322427>"). [assumption]. 3913 T(x,y) * (1 / y) = x * (1 / T(y,x)) # label("p9loop 0 3633 ID<1302663>"). [assumption]. 3918 T(x,y) / (z \ K(x,y)) = x / (z \ 1) # label("p9loop 0 3638 ID<390423>"). [assumption]. 3921 x \ ((x * y) / x) = K(x,y) * (x \ y) # label("p9loop 0 3641 ID<233931>"). [assumption]. 3935 K(x \ ((1 / y) \ z),u) = K(x \ ((y \ 1) \ z),u) # label("p9loop 0 3655 ID<102591>"). [assumption]. 3944 x \ (y \ T(x,y \ 1)) = (y \ x) / x # label("p9loop 0 3664 ID<806544>"). [assumption]. 3947 x \ T(y,x \ 1) = y * ((x \ y) / y) # label("p9loop 0 3667 ID<589815>"). [assumption]. 3948 a(x,y,z \ ((u / w) * v5)) = a(x,y,z \ ((w \ u) * v5)) # label("p9loop 0 3668 ID<1350323>"). [assumption]. 3951 T(x,y \ 1) / y = x * ((x / y) / x) # label("p9loop 0 3671 ID<590464>"). [assumption]. 3956 ((x \ y) \ 1) * (z / ((x \ y) \ 1)) = (y \ x) * (z / (y \ x)) # label("p9loop 0 3676 ID<1359691>"). [assumption]. 3957 x * K(y \ z,x * (z \ y)) = (y \ z) * (x / (y \ z)) # label("p9loop 0 3677 ID<1358717>"). [assumption]. 3973 a(x,(y * ((z / u) \ w)) \ v5,v6) = a(x,(y * ((u \ z) \ w)) \ v5,v6) # label("p9loop 0 3693 ID<1375151>"). [assumption]. 3974 (x * ((x / y) / x)) * y = T(x,y \ 1) # label("p9loop 0 3694 ID<1353980>"). [assumption]. 3981 R(T(x,y),x \ y,x) = T(x,x \ y) # label("p9loop 0 3701 ID<164969>"). [assumption]. 3983 x / L(y,y \ 1,x) = x * (1 / y) # label("p9loop 0 3703 ID<192953>"). [assumption]. 3984 (x * (1 / y)) * y = R(x,y \ 1,y) # label("p9loop 0 3704 ID<201343>"). [assumption]. 3985 T(x * K(y,x),x * y) = L(x,y,x) # label("p9loop 0 3705 ID<235979>"). [assumption]. 3999 x \ L(y,x \ 1,x) = (x \ 1) * y # label("p9loop 0 3719 ID<374205>"). [assumption]. 4001 a(x * (y \ R(z,u,w)),v5,v6) = a(x * (y \ L(z,u,w)),v5,v6) # label("p9loop 0 3721 ID<1383763>"). [assumption]. 4002 a((x \ R(y,z,u)) * w,v5,v6) = a((x \ L(y,z,u)) * w,v5,v6) # label("p9loop 0 3722 ID<1396307>"). [assumption]. 4006 (x \ (y \ ((1 / y) \ x))) * x = y \ ((1 / y) \ x) # label("p9loop 0 3726 ID<1396585>"). [assumption]. 4040 (x * (y / x)) / x = y / (y / (y / x)) # label("p9loop 0 3760 ID<4662>"). [assumption]. 4043 (x / y) * T(y \ x,y) = (y \ x) * (y \ x) # label("p9loop 0 3763 ID<851101>"). [assumption]. 4044 T(x,y) * T(x,y) = x * T(T(x,y),y) # label("p9loop 0 3764 ID<58363>"). [assumption]. 4058 T(x * (y / x),x) = x * (y / T(x,y)) # label("p9loop 0 3778 ID<94119>"). [assumption]. 4059 (T(x,y) / y) * z = (x / T(y,x)) * z # label("p9loop 0 3779 ID<1340>"). [assumption]. 4064 T(x,y) / T(y,x) = x / T(T(y,x),x) # label("p9loop 0 3784 ID<2072>"). [assumption]. 4065 T(x,y * ((T(z,u) \ u) \ w)) = T(x,y * ((u / z) \ w)) # label("p9loop 0 3785 ID<1443754>"). [assumption]. 4066 ((x * y) \ x) * K(z,y) = L(T(y,z) \ 1,y,x) # label("p9loop 0 3786 ID<69040>"). [assumption]. 4067 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y) # label("p9loop 0 3787 ID<54715>"). [assumption]. 4073 K(x,y) * ((z * x) / z) = T(x,y) * K(z,x) # label("p9loop 0 3793 ID<55543>"). [assumption]. 4075 (x / (y \ z)) * (z / y) = x * K(y,y \ z) # label("p9loop 0 3795 ID<694422>"). [assumption]. 4077 x * K(y,z \ x) = z * ((y * (z \ x)) / y) # label("p9loop 0 3797 ID<38720>"). [assumption]. 4085 ((x \ y) \ y) \ (y / x) = x \ (x \ y) # label("p9loop 0 3805 ID<234035>"). [assumption]. 4097 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,y \ (x \ 1)) # label("p9loop 0 3817 ID<1453245>"). [assumption]. 4111 L(x,y,z * a(u,w,u)) = L(x,y,z) # label("p9loop 0 3831 ID<473850>"). [assumption]. 4112 R(x,y,a(z,u,z) \ w) = R(x,y,w) # label("p9loop 0 3832 ID<475578>"). [assumption]. 4113 R(x,a(y,z,y) * u,w) = R(x,u,w) # label("p9loop 0 3833 ID<475953>"). [assumption]. 4116 R(x,y,a(z,u,z) * w) = R(x,y,w) # label("p9loop 0 3836 ID<478149>"). [assumption]. 4117 a(x,y,z * a(u,w,u)) = a(x,y,z) # label("p9loop 0 3837 ID<478676>"). [assumption]. 4126 ((x * (y * x)) / x) / T(x,x * y) = y # label("p9loop 0 3846 ID<326839>"). [assumption]. 4128 (x * (y * x)) / x = L(x,y,x) * y # label("p9loop 0 3848 ID<547078>"). [assumption]. 4129 ((x * (y * x)) / x) / y = L(x,y,x) # label("p9loop 0 3849 ID<508805>"). [assumption]. 4131 (T(x,y \ x) / y) * x = x * (x / y) # label("p9loop 0 3851 ID<636756>"). [assumption]. 4134 x * T(y,x * y) = L(y,x,y) * x # label("p9loop 0 3854 ID<543882>"). [assumption]. 4139 T(x,x \ y) \ (y / x) = x \ (x \ y) # label("p9loop 0 3859 ID<3644>"). [assumption]. 4144 x \ T(y,x \ y) = (y * (x \ y)) / y # label("p9loop 0 3864 ID<328645>"). [assumption]. 4145 T(x,y \ x) / y = (x * (x / y)) / x # label("p9loop 0 3865 ID<116508>"). [assumption]. 4146 (x * (x * y)) / x = T(x,x * y) * y # label("p9loop 0 3866 ID<3746>"). [assumption]. 4148 T((x * y) / x,z) = T(y * K(x,y),z) # label("p9loop 0 3868 ID<1248>"). [assumption]. 4149 (x * (y / x)) \ x = y \ (y / (y / x)) # label("p9loop 0 3869 ID<1383367>"). [assumption]. 4150 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)) # label("p9loop 0 3870 ID<32779>"). [assumption]. 4154 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y) # label("p9loop 0 3874 ID<1292107>"). [assumption]. 4160 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u) # label("p9loop 0 3880 ID<1507308>"). [assumption]. 4162 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y) # label("p9loop 0 3882 ID<232100>"). [assumption]. 4163 (x \ K(y,x \ 1)) * y = y * (x \ 1) # label("p9loop 0 3883 ID<200116>"). [assumption]. 4166 T((x * (y * z)) / (x * y),y) = (x * (z * y)) / (x * y) # label("p9loop 0 3886 ID<1518155>"). [assumption]. 4172 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z) # label("p9loop 0 3892 ID<1422>"). [assumption]. 4173 L(x,((y * z) \ ((y * u) * z)) \ w,v5) = L(x,R(u,y,z) \ w,v5) # label("p9loop 0 3893 ID<1527189>"). [assumption]. 4175 L(x,R(y,z,u) \ w,v5) = L(x,L(y,z,u) \ w,v5) # label("p9loop 0 3895 ID<1528330>"). [assumption]. 4176 L(x,(y * z) \ ((y * u) * z),w) = L(x,R(u,y,z),w) # label("p9loop 0 3896 ID<1527184>"). [assumption]. 4179 L(x,R(y,z,u),w) = L(x,L(y,z,u),w) # label("p9loop 0 3899 ID<1531572>"). [assumption]. 4183 x / L(y \ L(y,z,u),w,v5) = L(y \ L(y,z,u),w,v5) \ x # label("p9loop 0 3903 ID<1529826>"). [assumption]. 4188 x / (y \ L(y,z,u)) = (y \ L(y,z,u)) \ x # label("p9loop 0 3908 ID<1529823>"). [assumption]. 4191 T(a(x,y,z) \ 1,u) = a(x,y,z) \ 1 # label("p9loop 0 3911 ID<1529402>"). [assumption]. 4196 T(x \ L(x,y,z),u) = x \ L(x,y,z) # label("p9loop 0 3916 ID<1529825>"). [assumption]. 4198 K(x \ L(x,y,z),u) = 1 # label("p9loop 0 3918 ID<1529181>"). [assumption]. 4207 x * ((y * z) / y) = x * (z * K(y,z)) # label("p9loop 0 3927 ID<649>"). [assumption]. 4210 T(x * K(y,x),z) * y = y * T(x,z) # label("p9loop 0 3930 ID<1100>"). [assumption]. 4211 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1) # label("p9loop 0 3931 ID<116786>"). [assumption]. 4214 L(x \ K(y,z),x,y) = (y * x) \ T(y,z) # label("p9loop 0 3934 ID<197400>"). [assumption]. 4215 x \ K(y,x \ 1) = (y * (x \ 1)) / y # label("p9loop 0 3935 ID<116522>"). [assumption]. 4231 T((x * y) / x,y * x) = L(y,x,y) # label("p9loop 0 3951 ID<509662>"). [assumption]. 4232 R(x,y \ 1,y) / y = x * (1 / y) # label("p9loop 0 3952 ID<531617>"). [assumption]. 4233 a(x,y,L(z,u * u,w)) = a(x,y,z) # label("p9loop 0 3953 ID<540311>"). [assumption]. 4245 (x \ 1) \ R(1 / x,y,z) = x * R(1 / x,y,z) # label("p9loop 0 3964 ID<831963>"). [assumption]. 4247 (1 / x) \ (y / (y / ((1 / x) * z))) = x * (y / (y / (x \ z))) # label("p9loop 0 3966 ID<1566687>"). [assumption]. 4248 L(x / (x / y),z,u) \ x = x / L(y,z,u) # label("p9loop 0 3967 ID<10385>"). [assumption]. 4260 T(K(x,x \ 1) * y,z) = T(y * K(x,x \ 1),z) # label("p9loop 0 3980 ID<279171>"). [assumption]. 4261 T(x * (y / x),K(y,z)) = x * (y / x) # label("p9loop 0 3981 ID<19204>"). [assumption]. 4263 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)) # label("p9loop 0 3983 ID<1546505>"). [assumption]. 4265 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x) # label("p9loop 0 3985 ID<1545939>"). [assumption]. 4274 T(x * y,z) / y = y \ T(y * x,z) # label("p9loop 0 3994 ID<488465>"). [assumption]. 4277 (x \ T(y,z)) * x = T((x \ y) * x,z) # label("p9loop 0 3997 ID<54182>"). [assumption]. 4280 K(x,T(y,z)) * y = y * K(x,T(y,z)) # label("p9loop 0 4000 ID<18777>"). [assumption]. 4284 T(x,y) * K(z,x) = K(z,x) * T(x,y) # label("p9loop 0 4004 ID<13904>"). [assumption]. 4289 T(x,y) * K(z \ 1,z) = T(x * K(z \ 1,z),y) # label("p9loop 0 4009 ID<237311>"). [assumption]. 4296 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))) # label("p9loop 0 4016 ID<141561>"). [assumption]. 4306 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)) # label("p9loop 0 4026 ID<97013>"). [assumption]. 4307 (x / y) * K(x \ y,y \ x) = 1 / (1 / (x / y)) # label("p9loop 0 4027 ID<203518>"). [assumption]. 4311 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1) # label("p9loop 0 4031 ID<166105>"). [assumption]. 4312 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1) # label("p9loop 0 4032 ID<565411>"). [assumption]. 4322 x / (x * T(y,y \ 1)) = T(x / (x * y),y) # label("p9loop 0 4042 ID<1519480>"). [assumption]. 4324 T(x / y,y / x) = T(x / y,x \ y) # label("p9loop 0 4044 ID<781130>"). [assumption]. 4325 T(x / y,x \ y) = ((x / y) \ 1) \ 1 # label("p9loop 0 4045 ID<548748>"). [assumption]. 4328 T(x \ (x / (1 / (y / x))),y \ x) = x \ (x / ((y / x) \ 1)) # label("p9loop 0 4048 ID<1638847>"). [assumption]. 4331 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y) # label("p9loop 0 4051 ID<192683>"). [assumption]. 4338 ((x \ (y \ x)) \ 1) \ 1 = x \ (((y \ 1) \ 1) \ x) # label("p9loop 0 4058 ID<1646444>"). [assumption]. 4356 R(x / y,y,y \ 1) = x * (y \ 1) # label("p9loop 0 4076 ID<766498>"). [assumption]. 4357 R((x / y) / z,z,y) = x / (z * y) # label("p9loop 0 4077 ID<766875>"). [assumption]. 4358 R(x,x \ 1,y) = y / ((x \ 1) * y) # label("p9loop 0 4078 ID<767251>"). [assumption]. 4394 (1 / x) * (y * (x \ 1)) = (x \ 1) * (y * (1 / x)) # label("p9loop 0 4114 ID<910862>"). [assumption]. 4396 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)) # label("p9loop 0 4116 ID<166277>"). [assumption]. 4398 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1) # label("p9loop 0 4118 ID<370771>"). [assumption]. 4400 (T(x,x \ 1) * y) * (x \ 1) = (x * y) * (1 / x) # label("p9loop 0 4120 ID<1676860>"). [assumption]. 4414 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y) # label("p9loop 0 4134 ID<1693242>"). [assumption]. 4423 ((x \ 1) \ 1) \ (y * x) = x \ (y * (1 / (1 / x))) # label("p9loop 0 4143 ID<1698940>"). [assumption]. 4426 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x # label("p9loop 0 4146 ID<1706160>"). [assumption]. 4432 K(x,x \ 1) * (y * x) = y * T(x,x \ 1) # label("p9loop 0 4152 ID<199793>"). [assumption]. 4434 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y # label("p9loop 0 4154 ID<119546>"). [assumption]. 4439 K(x \ 1,x) * y = y * K(x \ 1,x) # label("p9loop 0 4159 ID<54962>"). [assumption]. 4442 K(x,x \ 1) * y = y * K(x,x \ 1) # label("p9loop 0 4162 ID<32946>"). [assumption]. 4444 x * (y * (((y \ (x \ (z * y))) \ 1) \ 1)) = (x * (((x \ z) \ 1) \ 1)) * y # label("p9loop 0 4164 ID<1721425>"). [assumption]. 4446 (x / y) * (((y \ x) \ 1) \ z) = (y \ x) * (((x / y) \ 1) \ z) # label("p9loop 0 4166 ID<1724516>"). [assumption]. 4447 (x \ 1) \ (((x \ 1) * y) * z) = x \ ((x * y) * z) # label("p9loop 0 4167 ID<1050390>"). [assumption]. 4450 ((x \ 1) * y) \ (((x \ 1) * z) * u) = (x * y) \ ((x * z) * u) # label("p9loop 0 4170 ID<1727739>"). [assumption]. 4453 (x * R(x,y,z)) \ x = 1 / R(x,y,z) # label("p9loop 0 4173 ID<1555895>"). [assumption]. 4459 x \ R(x * (y / x),z,u) = R(y,z,u) / x # label("p9loop 0 4179 ID<1400653>"). [assumption]. 4460 (x \ R(y,z,u)) * x = R((x \ y) * x,z,u) # label("p9loop 0 4180 ID<1103276>"). [assumption]. 4463 R(1 / x,x,x \ y) = (x \ y) / y # label("p9loop 0 4183 ID<830354>"). [assumption]. 4464 R(x,x \ 1,y) \ y = (x \ 1) * y # label("p9loop 0 4184 ID<831463>"). [assumption]. 4467 x / y != z * u | z \ (x / y) = u # label("p9loop 0 4187 ID<887760>"). [assumption]. 4468 L(x \ y,x,y) = ((1 / y) * x) \ 1 # label("p9loop 0 4188 ID<909753>"). [assumption]. 4470 L(T(x,y),y,y) = (1 / y) * (x * y) # label("p9loop 0 4190 ID<917625>"). [assumption]. 4472 R(x * (y * y),y,y) = (x * y) * y # label("p9loop 0 4192 ID<985792>"). [assumption]. 4473 T(x / (y * x),y) = R(y \ 1,y,x) # label("p9loop 0 4193 ID<1041923>"). [assumption]. 4474 R(x / y,y,z) \ (x * z) = y * z # label("p9loop 0 4194 ID<1058150>"). [assumption]. 4492 L(x,y,z) * L(u,x,x * L(x,y,z)) = (x \ L(x,y,z)) * (x * u) # label("p9loop 0 4212 ID<1197938>"). [assumption]. 4496 L(x \ L(x,y,z),(L(x,y,z) \ x) * (L(x,y,z) \ x),u) \ (u * (L(x,y,z) \ x)) = u * ((L(x,y,z) \ x) * (L(x,y,z) \ x)) # label("p9loop 0 4216 ID<1762610>"). [assumption]. 4515 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)) # label("p9loop 0 4235 ID<1771572>"). [assumption]. 4523 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))) # label("p9loop 0 4243 ID<203464>"). [assumption]. 4525 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y) # label("p9loop 0 4245 ID<1165496>"). [assumption]. 4530 x * (L(y,z,u) / x) = L(x * (y / x),z,u) # label("p9loop 0 4250 ID<497229>"). [assumption]. 4531 L(x * y,z,u) / y = y \ L(y * x,z,u) # label("p9loop 0 4251 ID<1558285>"). [assumption]. 4533 L(x \ 1,y,z) \ (1 / x) = x \ (L(x \ 1,y,z) \ 1) # label("p9loop 0 4253 ID<1786085>"). [assumption]. 4538 T(x,a(y,y,y \ z) * (u * ((y \ 1) * z))) = T(x,u * (y \ z)) # label("p9loop 0 4258 ID<1788841>"). [assumption]. 4540 L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x # label("p9loop 0 4260 ID<1583570>"). [assumption]. 4542 (x \ L(y,z,u)) * x = L((x \ y) * x,z,u) # label("p9loop 0 4262 ID<496107>"). [assumption]. 4545 a((x \ L(x,y,z)) * u,w,v5) = a((x * L(x,y,z)) * u,w,v5) # label("p9loop 0 4265 ID<1534910>"). [assumption]. 4549 a(x \ L(x,y,z),u,w) = a(x * L(x,y,z),u,w) # label("p9loop 0 4269 ID<932010>"). [assumption]. 4554 (1 / x) * L(x,y,z) = x \ L(x,y,z) # label("p9loop 0 4274 ID<642850>"). [assumption]. 4564 L(x,y,L((z * z) * u,w,v5)) = L(x,y,L(u,w,v5)) # label("p9loop 0 4284 ID<640291>"). [assumption]. 4566 x / L(y,x,y) = (x / (x * y)) * x # label("p9loop 0 4286 ID<1799724>"). [assumption]. 4569 a(x,y,z) / (a(x,y,z) \ u) = a(x,y,z) * (a(x,y,z) / u) # label("p9loop 0 4289 ID<1802297>"). [assumption]. 4573 T(x,y \ ((y \ z) * (y * u))) = T(x,(y / z) \ u) # label("p9loop 0 4293 ID<1801287>"). [assumption]. 4585 R(x,y,y \ 1) / (y \ 1) = x * y # label("p9loop 0 4305 ID<1258591>"). [assumption]. 4590 (x * y) \ R(x,y,y \ 1) = y \ 1 # label("p9loop 0 4310 ID<1384922>"). [assumption]. 4594 (x * x) * (((x * x) \ y) * z) = y * z # label("p9loop 0 4314 ID<284>"). [assumption]. 4595 T(T(T(x,y),z),u) = T(T(T(x,u),y),z) # label("p9loop 0 4315 ID<343>"). [assumption]. 4596 T(T(x,y),z) \ u = T(T(x,z),y) \ u # label("p9loop 0 4316 ID<635>"). [assumption]. 4597 x \ T(T(y,z),u) = x \ T(T(y,u),z) # label("p9loop 0 4317 ID<640>"). [assumption]. 4598 T(x / y,z) \ (y * T(y \ x,z)) = y # label("p9loop 0 4318 ID<1068>"). [assumption]. 4599 K((x / y) / z,u) = K(x / (z * y),u) # label("p9loop 0 4319 ID<1229>"). [assumption]. 4610 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z) # label("p9loop 0 4330 ID<1829344>"). [assumption]. 4611 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x # label("p9loop 0 4331 ID<1838204>"). [assumption]. 4625 L(x,y,L((1 / z) * u,w,v5)) = L(x,y,L(z * u,w,v5)) # label("p9loop 0 4345 ID<1848797>"). [assumption]. 4628 L(x,y,L(z \ 1,u,w)) = L(x,y,L(z,u,w)) # label("p9loop 0 4348 ID<1799374>"). [assumption]. 4632 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x) # label("p9loop 0 4352 ID<1040435>"). [assumption]. 4642 L(x,y,a(z * u,z,u)) = L(x,y,a(z,z,u)) # label("p9loop 0 4362 ID<918263>"). [assumption]. 4648 ((x * y) \ z) * K(x,x \ 1) = ((1 / (1 / x)) * y) \ z # label("p9loop 0 4368 ID<1313336>"). [assumption]. 4649 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z # label("p9loop 0 4369 ID<1865131>"). [assumption]. 4650 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y # label("p9loop 0 4370 ID<203580>"). [assumption]. 4651 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y # label("p9loop 0 4371 ID<203571>"). [assumption]. 4652 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)) # label("p9loop 0 4372 ID<1777818>"). [assumption]. 4654 1 / T(x \ y,y \ x) = (x \ y) \ 1 # label("p9loop 0 4374 ID<68614>"). [assumption]. 4656 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1 # label("p9loop 0 4376 ID<166942>"). [assumption]. 4661 a(x * y,z,u) != w | a(y * x,z,u) = w # label("p9loop 0 4381 ID<1876304>"). [assumption]. 4669 a((x * y) \ z,u,w) != v5 | a((y * x) \ z,u,w) = v5 # label("p9loop 0 4389 ID<1876765>"). [assumption]. 4676 L(x,y,(z \ 1) * u) = L(x,y,z * u) # label("p9loop 0 4396 ID<918284>"). [assumption]. 4677 L(x,y,z \ (u \ 1)) = L(x,y,z \ u) # label("p9loop 0 4397 ID<1878900>"). [assumption]. 4679 L(x,y,(z \ 1) \ u) = L(x,y,z \ u) # label("p9loop 0 4399 ID<1052012>"). [assumption]. 4680 L(x,y,z * (z * u)) = L(x,y,L(u,z,z)) # label("p9loop 0 4400 ID<758559>"). [assumption]. 4682 T((x * y) * (1 / x),x) = (y * x) * (1 / x) # label("p9loop 0 4402 ID<1580244>"). [assumption]. 4695 a(x \ (y \ 1),z,u) = a(x \ y,z,u) # label("p9loop 0 4415 ID<1888513>"). [assumption]. 4696 a((x \ (y \ 1)) * z,u,w) = a((x \ y) * z,u,w) # label("p9loop 0 4416 ID<1888397>"). [assumption]. 4701 a(x \ (y \ x),z,y) = a(y,z,y) # label("p9loop 0 4421 ID<1850449>"). [assumption]. 4704 T(x / (x / y),x) = x / (T(x,y) / y) # label("p9loop 0 4424 ID<1351>"). [assumption]. 4705 K(x,y * y) * z = z * K(x,y * y) # label("p9loop 0 4425 ID<1427>"). [assumption]. 4706 T(T(x,y),x \ z) = T((x \ z) \ z,y) # label("p9loop 0 4426 ID<1516>"). [assumption]. 4707 T(1 / (1 / x),y) = 1 / (K(y,x) / x) # label("p9loop 0 4427 ID<2161>"). [assumption]. 4709 x * L(T(y,x),z,u) = L(y,z,u) * x # label("p9loop 0 4429 ID<2457>"). [assumption]. 4710 (x / (x / y)) \ 1 = y \ K(y,y \ x) # label("p9loop 0 4430 ID<2697>"). [assumption]. 4711 x \ (T(y,z) \ 1) = x \ (y \ K(z,y)) # label("p9loop 0 4431 ID<3117>"). [assumption]. 4712 x * (T(y,z) \ 1) = x * (y \ K(z,y)) # label("p9loop 0 4432 ID<3121>"). [assumption]. 4715 K(x,x \ y) / (y / x) = 1 / (x \ y) # label("p9loop 0 4435 ID<3636>"). [assumption]. 4716 (x \ y) \ K(x \ y,x) = (y / x) \ 1 # label("p9loop 0 4436 ID<3642>"). [assumption]. 4717 (x / y) \ K(y,y \ x) = (y \ x) \ 1 # label("p9loop 0 4437 ID<3646>"). [assumption]. 4718 T(x / y,T(z,y)) = T(x / y,T(z,x)) # label("p9loop 0 4438 ID<3840>"). [assumption]. 4720 (x / y) \ T(y,y \ x) = (y \ x) \ y # label("p9loop 0 4440 ID<4204>"). [assumption]. 4725 a(x \ (((y \ z) \ z) * u),w,v5) = a(x \ (y * u),w,v5) # label("p9loop 0 4445 ID<1915912>"). [assumption]. 4726 x * (T(y,x) * T(z,y * x)) = L(z,y,x) * (y * x) # label("p9loop 0 4446 ID<1897783>"). [assumption]. 4735 a(x * (y \ 1),z,u) = a(x * y,z,u) # label("p9loop 0 4455 ID<909906>"). [assumption]. 4736 a(x * (y * (z * z)),u,w) = a(x * y,u,w) # label("p9loop 0 4456 ID<524589>"). [assumption]. 4737 a(((x \ 1) \ y) * z,u,w) = a((x \ y) * z,u,w) # label("p9loop 0 4457 ID<1051979>"). [assumption]. 4738 a((x \ 1) \ y,z,u) = a(x \ y,z,u) # label("p9loop 0 4458 ID<1051984>"). [assumption]. 4739 a(x * (x * y),z,u) = a(L(y,x,x),z,u) # label("p9loop 0 4459 ID<550050>"). [assumption]. 4740 (x * (y * L(z,u,w))) / (x * y) = L((x * (y * z)) / (x * y),u,w) # label("p9loop 0 4460 ID<1518190>"). [assumption]. 4755 T(T(x,y) \ 1,K(x,z)) = T(x,y) \ 1 # label("p9loop 0 4475 ID<17143>"). [assumption]. 4770 T(T(T(x,x * y) * y,z),x) = T(x * y,z) # label("p9loop 0 4490 ID<979320>"). [assumption]. 4772 (x * (y * L(x,z,u))) / x = L(L(x,y,x),z,u) * y # label("p9loop 0 4492 ID<1072552>"). [assumption]. 4786 a(x,L(y,z,u),y) = a(x,y,L(y,z,u)) # label("p9loop 0 4506 ID<642651>"). [assumption]. 4793 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z # label("p9loop 0 4513 ID<674373>"). [assumption]. 4798 L(x,y,z) * (x \ (u / L(x,y,z))) = u / x # label("p9loop 0 4518 ID<1974737>"). [assumption]. 4801 (x * L(y,z,u)) * y = (x * y) * L(y,z,u) # label("p9loop 0 4521 ID<642387>"). [assumption]. 4809 x * ((y \ (x \ (z * y))) * y) = (x * T(x \ z,y)) * y # label("p9loop 0 4529 ID<19557>"). [assumption]. 4810 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)) # label("p9loop 0 4530 ID<5133>"). [assumption]. 4812 ((x \ T(x * (y / z),u)) * z) / y = K((y / z) * x,u) # label("p9loop 0 4532 ID<1990380>"). [assumption]. 4815 L(L(x,y,z) \ u,x,L(x,y,z)) = (x * L(x,y,z)) \ (x * u) # label("p9loop 0 4535 ID<1056143>"). [assumption]. 4816 L(x,L(y,z,u),y) = L(x,y,L(y,z,u)) # label("p9loop 0 4536 ID<642600>"). [assumption]. 4817 L(x,(y \ 1) * z,y \ z) = L(x,y \ z,y * z) # label("p9loop 0 4537 ID<1994440>"). [assumption]. 4821 (x * (y * y)) / y = x * L(y,y,x) # label("p9loop 0 4541 ID<1967878>"). [assumption]. 4822 T(K(x,y) * z,K(z,u)) = K(x,y) * z # label("p9loop 0 4542 ID<4384>"). [assumption]. 4823 K(x,y) * T(x,T(z,y)) = T(T(x,z),y) # label("p9loop 0 4543 ID<4571>"). [assumption]. 4824 (x / y) * (y \ x) = (y \ x) * (x / y) # label("p9loop 0 4544 ID<4985>"). [assumption]. 4825 T(T(x,y) \ 1,z) = T(x \ K(y,x),z) # label("p9loop 0 4545 ID<5005>"). [assumption]. 4827 K(T(x,K(y,z)) * u,w) = K(x * u,w) # label("p9loop 0 4547 ID<7341>"). [assumption]. 4828 K(x,T(y,K(z,u)) * w) = K(x,y * w) # label("p9loop 0 4548 ID<7438>"). [assumption]. 4830 T(x,T(y,z * K(u,w))) = T(x,T(y,z)) # label("p9loop 0 4550 ID<9600>"). [assumption]. 4831 T(x,T(y,K(z,u) * w)) = T(x,T(y,w)) # label("p9loop 0 4551 ID<9623>"). [assumption]. 4834 K(x * x,y) * z = z * K(x * x,y) # label("p9loop 0 4554 ID<10843>"). [assumption]. 4838 K(x * y,x \ z) = K(y * x,z / x) # label("p9loop 0 4558 ID<18351>"). [assumption]. 4839 K(x,y * z) * y = y * K(x,z * y) # label("p9loop 0 4559 ID<18786>"). [assumption]. 4841 L(x,y,z * L(u,u,z)) = L(x,y,u \ z) # label("p9loop 0 4561 ID<1998128>"). [assumption]. 4842 L(x,y,R(z,u,w) \ v5) = L(x,y,L(z,u,w) \ v5) # label("p9loop 0 4562 ID<1998844>"). [assumption]. 4843 a(R(x,y,z) \ u,w,v5) = a(L(x,y,z) \ u,w,v5) # label("p9loop 0 4563 ID<1998823>"). [assumption]. 4844 a(x \ (y * R(z,u,w)),v5,v6) = a(x \ (y * L(z,u,w)),v5,v6) # label("p9loop 0 4564 ID<1998825>"). [assumption]. 4846 L(x,y,z \ ((u \ 1) \ w)) = L(x,y,z \ (u \ w)) # label("p9loop 0 4566 ID<2012796>"). [assumption]. 4847 L(x,y,z \ ((u * u) \ w)) = L(x,y,z \ w) # label("p9loop 0 4567 ID<2012898>"). [assumption]. 4848 a(x \ (y \ (z \ 1)),u,w) = a(x \ (y \ z),u,w) # label("p9loop 0 4568 ID<1999816>"). [assumption]. 4851 a(x * L(y,y,x),z,u) = a(y \ x,z,u) # label("p9loop 0 4571 ID<1998117>"). [assumption]. 4853 a(((x * y) * y) \ z,u,w) = a(L(x,y,y) \ z,u,w) # label("p9loop 0 4573 ID<2016570>"). [assumption]. 4856 a((x * y) \ x,z,u) = a(x \ (y \ x),z,u) # label("p9loop 0 4576 ID<2000426>"). [assumption]. 4859 a(x \ ((y \ 1) * z),u,w) = a(x \ (y * z),u,w) # label("p9loop 0 4579 ID<2015190>"). [assumption]. 4861 a(x \ ((y \ 1) \ z),u,w) = a(x \ (y \ z),u,w) # label("p9loop 0 4581 ID<1999831>"). [assumption]. 4862 a(x \ (y * (y * z)),u,w) = a(x \ L(z,y,y),u,w) # label("p9loop 0 4582 ID<2015290>"). [assumption]. 4865 a(((x \ 1) \ y) \ z,u,w) = a((x \ y) \ z,u,w) # label("p9loop 0 4585 ID<2016393>"). [assumption]. 4869 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z) # label("p9loop 0 4589 ID<1996062>"). [assumption]. 4870 x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x) # label("p9loop 0 4590 ID<19529>"). [assumption]. 4882 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z) # label("p9loop 0 4602 ID<69289>"). [assumption]. 4884 T((x * y) / x,y \ x) = (y \ x) \ T(x,y) # label("p9loop 0 4604 ID<54742>"). [assumption]. 4886 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z) # label("p9loop 0 4607 ID<2036148>"). [assumption]. 4893 L(L(x,y,z),u,w) \ (L(x,u,w) * v5) = L(x,u,w) * (L(L(x,u,w),y,z) \ v5) # label("p9loop 0 4614 ID<657580>"). [assumption]. 4894 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,u) # label("p9loop 0 4615 ID<1973993>"). [assumption]. 4898 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u) # label("p9loop 0 4619 ID<1975683>"). [assumption]. 4901 L(L((x \ 1) \ 1,y,z) \ 1,x,x) = L(x,y,z) \ 1 # label("p9loop 0 4622 ID<1790748>"). [assumption]. 4904 x * (L(x,y,z) \ 1) = L(x,y,z) \ x # label("p9loop 0 4626 ID<654295>"). [assumption]. 4906 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u) # label("p9loop 0 4628 ID<654284>"). [assumption]. 4909 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u # label("p9loop 0 4631 ID<641866>"). [assumption]. 4915 L(x,y,z) \ (L(x,u,w) \ L(x,y,z)) = L(x,u,w) \ 1 # label("p9loop 0 4637 ID<2062514>"). [assumption]. 4916 L(x,y,z) * (L(x,u,w) \ 1) = L(x,u,w) \ L(x,y,z) # label("p9loop 0 4638 ID<2062125>"). [assumption]. 4918 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u # label("p9loop 0 4640 ID<642832>"). [assumption]. 4919 L(x,y,z) * (x * u) = x * (L(x,y,z) * u) # label("p9loop 0 4641 ID<641868>"). [assumption]. 4920 x * R(x \ (x \ y),z,u) = x \ R(y,z,u) # label("p9loop 0 4642 ID<1955862>"). [assumption]. 4925 x \ R(x * y,z,u) = x * R(x \ y,z,u) # label("p9loop 0 4647 ID<1954657>"). [assumption]. 4926 x * ((x \ y) \ R(x \ y,z,u)) = y * R(y \ x,z,u) # label("p9loop 0 4648 ID<2069377>"). [assumption]. 4929 L(a(x,y,y) \ z,x,a(x,y,y)) = R(x,y,y) \ (x * z) # label("p9loop 0 4651 ID<2074910>"). [assumption]. 4930 a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u) # label("p9loop 0 4652 ID<2073234>"). [assumption]. 4934 a(x,y,a(x,z,u)) = 1 # label("p9loop 0 4656 ID<2073226>"). [assumption]. 4935 x * ((x \ y) * a(x,z,u)) = y * a(x,z,u) # label("p9loop 0 4657 ID<2078264>"). [assumption]. 4936 x \ (a(x,y,z) * u) = (x \ u) * a(x,y,z) # label("p9loop 0 4658 ID<2078346>"). [assumption]. 4937 a(x,y,z) \ (x \ u) = x \ (a(x,y,z) \ u) # label("p9loop 0 4659 ID<2080310>"). [assumption]. 4939 L(x,y,a(z,u,w * w)) = x # label("p9loop 0 4661 ID<2015357>"). [assumption]. 4946 x \ ((1 / x) \ y) = y * a(x,x,y) # label("p9loop 0 4668 ID<2088394>"). [assumption]. 4947 (x * y) \ ((1 / x) \ y) = a(x,x,y) # label("p9loop 0 4669 ID<2088940>"). [assumption]. 4950 x \ (y \ ((1 / y) \ x)) = a(y,y,x) # label("p9loop 0 4672 ID<2091615>"). [assumption]. 4952 T((x * x) * y,x * x) = y * (x * x) # label("p9loop 0 4674 ID<19530>"). [assumption]. 4953 x * R(T(y,x),z,u) = R(y,z,u) * x # label("p9loop 0 4675 ID<19540>"). [assumption]. 4954 x * y != z | y * u != z | T(x,y) = u # label("p9loop 0 4676 ID<19541>"). [assumption]. 4955 (x / y) / T(y,y \ x) = (y \ x) / y # label("p9loop 0 4677 ID<19653>"). [assumption]. 4956 K(x,T(y / x,z)) = K(x,T(x \ y,z)) # label("p9loop 0 4678 ID<28192>"). [assumption]. 4962 L(x,y,a(z,z,z * u)) = L(x,y,a(z,z,u)) # label("p9loop 0 4684 ID<2091604>"). [assumption]. 4963 L(x,y,a(z,z,u * z)) = L(x,y,a(z,z,u)) # label("p9loop 0 4685 ID<2097372>"). [assumption]. 4964 a(x \ (x \ y),z,u) = a(L(y,x,x),z,u) # label("p9loop 0 4686 ID<2092159>"). [assumption]. 4968 (x \ ((1 / x) \ y)) \ y = a(x,x,y) \ 1 # label("p9loop 0 4690 ID<2091671>"). [assumption]. 4971 a(x,y,z) * (x * u) = x * (u * a(x,y,z)) # label("p9loop 0 4693 ID<2073254>"). [assumption]. 4973 L(x,a(y,z,u),y) = L(x,y,a(y,z,u)) # label("p9loop 0 4695 ID<2111470>"). [assumption]. 4974 L(a(x,y,z) \ u,x,a(x,y,z)) = (x * a(x,y,z)) \ (x * u) # label("p9loop 0 4696 ID<2112899>"). [assumption]. 4975 L(x,y \ 1,y) * a(y,z,u) = L(x * a(y,z,u),y \ 1,y) # label("p9loop 0 4697 ID<2112537>"). [assumption]. 4976 ((x \ 1) * y) * a(x,z,u) = (x \ 1) * (y * a(x,z,u)) # label("p9loop 0 4698 ID<2111420>"). [assumption]. 4980 x * ((y * ((z \ u) \ u)) * a(x,y,z)) = (x * y) * ((z \ u) \ u) # label("p9loop 0 4702 ID<2074820>"). [assumption]. 4981 a(x,y,(z * R(u,w,v5)) * v6) = a(x,y,(z * L(u,w,v5)) * v6) # label("p9loop 0 4703 ID<2117252>"). [assumption]. 4982 a(x,y,z \ (u * R(w,v5,v6))) = a(x,y,z \ (u * L(w,v5,v6))) # label("p9loop 0 4704 ID<2117741>"). [assumption]. 4983 a(x,y,z \ (R(u,w,v5) * v6)) = a(x,y,z \ (L(u,w,v5) * v6)) # label("p9loop 0 4705 ID<2117928>"). [assumption]. 4984 a(x,y,z * (R(u,w,v5) * v6)) = a(x,y,z * (L(u,w,v5) * v6)) # label("p9loop 0 4706 ID<2117452>"). [assumption]. 4985 a(x,y,z * (u \ R(w,v5,v6))) = a(x,y,z * (u \ L(w,v5,v6))) # label("p9loop 0 4707 ID<2118215>"). [assumption]. 4987 a(x,y,z * (u * (R(w,v5,v6) * v7))) = a(x,y,z * (u * (L(w,v5,v6) * v7))) # label("p9loop 0 4709 ID<2118295>"). [assumption]. 4995 ((x \ y) * z) \ (x \ (y * z)) = a(x,x \ y,z) # label("p9loop 0 4717 ID<2128190>"). [assumption]. 4996 a(x,y,(z * (u \ w)) \ (u \ (w * z))) = a(x,y,a(u,u \ w,z)) # label("p9loop 0 4718 ID<2130310>"). [assumption]. 4997 (x * y) \ (z \ ((z * y) * x)) = K(y,x) * a(z,y,x) # label("p9loop 0 4719 ID<2126585>"). [assumption]. 4998 (x * (y * z)) \ ((x * z) * y) = K(z,y) * a(x,z,y) # label("p9loop 0 4720 ID<2131986>"). [assumption]. 5001 (x * y) \ (z \ ((z * x) * y)) = a(z,x,y) # label("p9loop 0 4723 ID<2125322>"). [assumption]. 5002 x \ (y * a(x,z,u)) = (x \ y) * a(x,z,u) # label("p9loop 0 4724 ID<2078282>"). [assumption]. 5005 a(x,y,z * (u * R(w,v5,v6))) = a(x,y,z * (u * L(w,v5,v6))) # label("p9loop 0 4727 ID<2117270>"). [assumption]. 5011 R(x,y \ L(y,z,u),y) = L(x,y,y * L(y,z,u)) # label("p9loop 0 4733 ID<2083497>"). [assumption]. 5029 L(x \ L(x,y,z),u,x) = x \ L(x,y,z) # label("p9loop 0 4751 ID<2083151>"). [assumption]. 5033 R(x,y,L(x \ L(x,z,u),w,v5)) = x # label("p9loop 0 4755 ID<2153401>"). [assumption]. 5034 (x \ (y \ z)) * a(y,u,y) = x \ (L(y,u,y) \ z) # label("p9loop 0 4756 ID<2129009>"). [assumption]. 5041 L(x,y,z) \ L(R(x,u,w),y,z) = L(x \ R(x,u,w),y,z) # label("p9loop 0 4763 ID<2157841>"). [assumption]. 5044 (x \ y) \ R(x \ y,z,u) = x \ (y * R(y \ x,z,u)) # label("p9loop 0 4766 ID<2070174>"). [assumption]. 5045 x * (y * R(y \ (x \ 1),z,u)) = (x * y) \ R(x * y,z,u) # label("p9loop 0 4767 ID<2159288>"). [assumption]. 5053 x * R(x \ 1,y,z) = x \ R(x,y,z) # label("p9loop 0 4775 ID<1302666>"). [assumption]. 5058 a(L(x \ 1,y,z) \ u,w,v5) = a(L(x,y,z) \ u,w,v5) # label("p9loop 0 4780 ID<2167114>"). [assumption]. 5063 (a(x,x,y) / x) \ y = x * y # label("p9loop 0 4785 ID<2169174>"). [assumption]. 5064 a(x,x,y) / x = y / (x * y) # label("p9loop 0 4786 ID<2171515>"). [assumption]. 5068 (x / (y * x)) \ a(y,y,x) = y # label("p9loop 0 4790 ID<2174102>"). [assumption]. 5069 (x / (y * x)) * y = a(y,y,x) # label("p9loop 0 4791 ID<2174103>"). [assumption]. 5070 R(x,x,y) = ((1 / x) \ y) / y # label("p9loop 0 4792 ID<2177513>"). [assumption]. 5072 R(x,x,y) * y = (1 / x) \ y # label("p9loop 0 4794 ID<2185003>"). [assumption]. 5075 L(x * y,z,a(x,x,y)) = x * y # label("p9loop 0 4797 ID<2169054>"). [assumption]. 5076 L(x \ y,z,a(x,x,y)) = x \ y # label("p9loop 0 4798 ID<2169071>"). [assumption]. 5077 L(x * y,z,a(y,y,x)) = x * y # label("p9loop 0 4799 ID<2169087>"). [assumption]. 5079 a(x,y,a(z,z,z * u)) = a(x,y,a(z,z,u)) # label("p9loop 0 4801 ID<2179991>"). [assumption]. 5081 L(x,y,L(z * u,z,z)) = L(x,y,z \ u) # label("p9loop 0 4803 ID<2189655>"). [assumption]. 5082 a(x \ L(y * z,y,y),u,w) = a(x \ (y \ z),u,w) # label("p9loop 0 4804 ID<2193340>"). [assumption]. 5089 L(x,y,(z \ u) * (u \ z)) = L(x,y,a(u,u \ z,z)) # label("p9loop 0 4811 ID<2176781>"). [assumption]. 5090 ((1 / (x / y)) * x) \ y = (y / x) * (x / y) # label("p9loop 0 4812 ID<2176993>"). [assumption]. 5098 a((x \ ((y \ 1) * z)) * u,w,v5) = a((x \ (y * z)) * u,w,v5) # label("p9loop 0 4820 ID<2188114>"). [assumption]. 5099 a(x * (y \ ((z \ 1) * u)),w,v5) = a((y \ (z * u)) * x,w,v5) # label("p9loop 0 4821 ID<2203464>"). [assumption]. 5100 a((x \ (y \ (z \ 1))) * u,w,v5) = a((x \ (y \ z)) * u,w,v5) # label("p9loop 0 4822 ID<2203614>"). [assumption]. 5102 a((L(x,x,y) * y) * z,u,w) = a((x \ y) * z,u,w) # label("p9loop 0 4824 ID<2187365>"). [assumption]. 5105 a(x * (y * (z \ (u \ 1))),w,v5) = a(x * (y * (z \ u)),w,v5) # label("p9loop 0 4827 ID<2204156>"). [assumption]. 5106 a(L(x,x,y * (z \ (u \ 1))) * (y * (z \ u)),w,v5) = a(x \ (y * (z \ (u \ 1))),w,v5) # label("p9loop 0 4828 ID<2205187>"). [assumption]. 5107 a(x * (y * (z * (L(z,u,w) \ z))),v5,v6) = a(x * (y * L(z,u,w)),v5,v6) # label("p9loop 0 4829 ID<2205344>"). [assumption]. 5108 a(L(x,y * x,y * x),z,u) = a((x \ y) * y,z,u) # label("p9loop 0 4830 ID<2192680>"). [assumption]. 5109 a((x \ ((y \ 1) \ z)) * u,w,v5) = a((x \ (y \ z)) * u,w,v5) # label("p9loop 0 4831 ID<2188208>"). [assumption]. 5110 a(x * (y \ ((z * z) * u)),w,v5) = a((y \ u) * x,w,v5) # label("p9loop 0 4832 ID<2188092>"). [assumption]. 5112 x \ (R(x,y,z) \ x) = R(x,y,z) \ 1 # label("p9loop 0 4834 ID<1511976>"). [assumption]. 5115 x * (R(x,y,z) \ 1) = R(x,y,z) \ x # label("p9loop 0 4837 ID<1511993>"). [assumption]. 5117 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u # label("p9loop 0 4839 ID<1185894>"). [assumption]. 5119 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z) # label("p9loop 0 4841 ID<2209772>"). [assumption]. 5120 (x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z) # label("p9loop 0 4842 ID<2212971>"). [assumption]. 5124 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u) # label("p9loop 0 4846 ID<1480029>"). [assumption]. 5128 R(x,y,z) * (x \ (R(x,y,z) \ u)) = x \ u # label("p9loop 0 4850 ID<2209774>"). [assumption]. 5129 R(x,y,z) \ (x \ u) = x \ (R(x,y,z) \ u) # label("p9loop 0 4851 ID<2224401>"). [assumption]. 5132 x * (T(T(x,y),y) \ (z \ (K(x,y) * u))) = z \ (K(y,x) * u) # label("p9loop 0 4854 ID<2228207>"). [assumption]. 5133 (x \ 1) * (R(x \ 1,y,z) \ u) = x * (R(x,y,z) \ u) # label("p9loop 0 4855 ID<2229067>"). [assumption]. 5134 T(x,x \ 1) * (R((x \ 1) \ 1,y,z) \ u) = x * (R(x,y,z) \ u) # label("p9loop 0 4856 ID<2231304>"). [assumption]. 5135 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u) # label("p9loop 0 4857 ID<2228467>"). [assumption]. 5138 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z) # label("p9loop 0 4860 ID<530558>"). [assumption]. 5146 (x * T(y,z)) * y = (x * y) * T(y,z) # label("p9loop 0 4868 ID<58416>"). [assumption]. 5158 R(T(x * y,x * x),x,x) = (((1 / x) * y) * x) * x # label("p9loop 0 4880 ID<1747748>"). [assumption]. 5159 (x * x) \ R(y,z,u) = R((x * x) \ y,z,u) # label("p9loop 0 4881 ID<1824502>"). [assumption]. 5163 R(x,y,z) * (u * u) = R(x * (u * u),y,z) # label("p9loop 0 4885 ID<709613>"). [assumption]. 5164 (x * x) * R(y,z,u) = R((x * x) * y,z,u) # label("p9loop 0 4886 ID<522100>"). [assumption]. 5165 R(T(x / y,z * y),y,z) = (z * y) \ (x * T(z,y)) # label("p9loop 0 4887 ID<766455>"). [assumption]. 5166 (x * (1 / y)) \ (z * (1 / y)) = (x * (y \ 1)) \ (z * (y \ 1)) # label("p9loop 0 4888 ID<2261519>"). [assumption]. 5180 a(x * y,z,a(y,x,x)) = 1 # label("p9loop 0 4902 ID<2198096>"). [assumption]. 5182 a(x * y,z,a(x,y,y)) = 1 # label("p9loop 0 4904 ID<2279451>"). [assumption]. 5193 (x * x) \ (x / y) = (1 / x) / y # label("p9loop 0 4915 ID<2269780>"). [assumption]. 5200 R(T(x,y),x \ 1,x * y) = y \ ((x \ 1) \ y) # label("p9loop 0 4922 ID<2285204>"). [assumption]. 5202 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)) # label("p9loop 0 4924 ID<2272254>"). [assumption]. 5204 L(x,(y \ z) * u,x) = L(x,z * (y \ u),x) # label("p9loop 0 4926 ID<2563541>"). [assumption]. 5205 R(x,y,z \ L(z,u,w)) = L(x,y,z * L(z,u,w)) # label("p9loop 0 4927 ID<2559768>"). [assumption]. 5206 K((x / y) * z,u) = K(x * (y \ z),u) # label("p9loop 0 4928 ID<2359396>"). [assumption]. 5207 K(R(x,y,z) \ u,w) = K(x \ u,w) # label("p9loop 0 4929 ID<2412780>"). [assumption]. 5208 (R(x,y,z) \ u) * K(x \ u,w) = T(R(x,y,z) \ u,w) # label("p9loop 0 4930 ID<2618572>"). [assumption]. 5209 K(R(x,y,z) * u,w) = K(x * u,w) # label("p9loop 0 4931 ID<2440798>"). [assumption]. 5210 T(x,y * R(z,u,w)) = T(x,y * z) # label("p9loop 0 4932 ID<2569702>"). [assumption]. 5212 R(a(x,y,z),u,w) = L(a(x,y,z),u,w) # label("p9loop 0 4934 ID<2589224>"). [assumption]. 5216 T(x,y * (z \ (u * w))) = T(x,y * ((z \ u) * w)) # label("p9loop 0 4938 ID<2516576>"). [assumption]. 5217 (x * a(y,z,u)) * y = a(y,z,u) * (x * y) # label("p9loop 0 4939 ID<2598284>"). [assumption]. 5218 a(x,a(y,z,u),y) = a(x,y,a(y,z,u)) # label("p9loop 0 4940 ID<2624415>"). [assumption]. 5219 a(x,y,z) \ (u * x) = (a(x,y,z) \ u) * x # label("p9loop 0 4941 ID<2607351>"). [assumption]. 5220 L(x,y,a(x,z,u)) = x # label("p9loop 0 4942 ID<2610490>"). [assumption]. 5221 a(x,x,a(x,y,z) * u) = a(x,x,u) # label("p9loop 0 4943 ID<2629096>"). [assumption]. 5223 a(x,x,(x * y) * z) = a(x,x,y * (z * x)) # label("p9loop 0 4945 ID<2629319>"). [assumption]. 5224 a(x,x,y * (z * x)) = a(x,x,x * (z * y)) # label("p9loop 0 4946 ID<2629626>"). [assumption]. 5226 (a(x,x,y) / x) \ (a(x,z,u) * y) = x * (a(x,z,u) * y) # label("p9loop 0 4948 ID<2629227>"). [assumption]. 5227 a(x,x,y * a(x,z,u)) = a(x,x,y) # label("p9loop 0 4949 ID<2629147>"). [assumption]. 5228 a(x,x,x \ (y * z)) = a(x,x,(x \ y) * z) # label("p9loop 0 4950 ID<2631461>"). [assumption]. 5235 T(x,(y \ L(z,u,w)) * v5) = T(x,(y \ z) * v5) # label("p9loop 0 4957 ID<2498921>"). [assumption]. 5237 R(a(x,y,z) \ 1,u,w) = L(a(x,y,z) \ 1,u,w) # label("p9loop 0 4959 ID<2637690>"). [assumption]. 5238 R(x,a(y,z,u),w) = L(x,a(y,z,u),w) # label("p9loop 0 4960 ID<2507971>"). [assumption]. 5239 L(x,y,a(z,u,w)) * (a(z,u,w) * y) = (x * y) * a(z,u,w) # label("p9loop 0 4961 ID<2463758>"). [assumption]. 5242 R(x,y,a(z,u,w)) = L(x,y,a(z,u,w)) # label("p9loop 0 4964 ID<2638146>"). [assumption]. 5243 T(x,y \ (L(z,u,w) \ v5)) = T(x,y \ (z \ v5)) # label("p9loop 0 4965 ID<2503126>"). [assumption]. 5244 x * (L(x,y,z) \ T(u,w)) = T(x * (L(x,y,z) \ u),w) # label("p9loop 0 4966 ID<2363506>"). [assumption]. 5245 L((a(x,y,z) \ u) / w,w,a(x,y,z)) = u / (w * a(x,y,z)) # label("p9loop 0 4967 ID<2639495>"). [assumption]. 5248 T(x,(y \ (z / u)) * w) = T(x,(y \ z) * (u \ w)) # label("p9loop 0 4970 ID<2519630>"). [assumption]. 5250 (x * ((a(y,z,u) * x) \ w)) / x = w / (x * a(y,z,u)) # label("p9loop 0 4972 ID<2646709>"). [assumption]. 5251 T(x,y * (z \ L(u,w,v5))) = T(x,y * (z \ u)) # label("p9loop 0 4973 ID<2517625>"). [assumption]. 5252 T(x,y \ ((z * u) \ w)) = T(x,y \ (u \ (z \ w))) # label("p9loop 0 4974 ID<2517247>"). [assumption]. 5253 T(x,y \ L(z,u,w)) = T(x,y \ z) # label("p9loop 0 4975 ID<2498488>"). [assumption]. 5254 T(x,L(y,z,u) \ w) = T(x,y \ w) # label("p9loop 0 4976 ID<2499675>"). [assumption]. 5259 (x \ a(y,z,u)) \ a(y,z,u) = (x \ 1) \ 1 # label("p9loop 0 4981 ID<2653514>"). [assumption]. 5261 1 / (x \ a(y,z,u)) = (a(y,z,u) / x) \ 1 # label("p9loop 0 4983 ID<2640627>"). [assumption]. 5262 a(x,y,z) / (u \ 1) = (1 / u) \ a(x,y,z) # label("p9loop 0 4984 ID<2639390>"). [assumption]. 5264 a(x,y,z) * T(u,w) = T(u * a(x,y,z),w) # label("p9loop 0 4986 ID<2567361>"). [assumption]. 5265 T(x,y) * a(z,u,w) = T(x * a(z,u,w),y) # label("p9loop 0 4987 ID<2566055>"). [assumption]. 5266 a(x,y,z) \ T(u,w) = T(a(x,y,z) \ u,w) # label("p9loop 0 4988 ID<2587825>"). [assumption]. 5267 ((a(x,y,z) \ (1 / u)) \ 1) \ K(w,v5) = a(x,y,z) \ (u \ K(w,v5)) # label("p9loop 0 4989 ID<2658812>"). [assumption]. 5269 K(x \ a(y,z,u),w) = K(x \ 1,w) # label("p9loop 0 4991 ID<2439143>"). [assumption]. 5270 K(x * a(y,z,u),w) = K(x,w) # label("p9loop 0 4992 ID<2444025>"). [assumption]. 5271 K(a(x,y,z) * u,w) = K(u,w) # label("p9loop 0 4993 ID<2445703>"). [assumption]. 5273 x / (a(y,z,u) * a(w,v5,v6)) = (a(y,z,u) * a(w,v5,v6)) \ x # label("p9loop 0 4995 ID<2567364>"). [assumption]. 5274 (a(x,y,z) \ u) * T(w,u) = w * (a(x,y,z) \ u) # label("p9loop 0 4996 ID<2637114>"). [assumption]. 5275 (a(x,y,z) \ u) * (a(x,y,z) \ 1) = (a(x,y,z) * a(x,y,z)) \ u # label("p9loop 0 4997 ID<2661554>"). [assumption]. 5276 (x / y) * (y * a(z,u,w)) = (a(z,u,w) * y) * (y \ x) # label("p9loop 0 4998 ID<2661375>"). [assumption]. 5277 T(x,y \ (a(z,u,w) \ v5)) = T(x,y \ v5) # label("p9loop 0 4999 ID<2513154>"). [assumption]. 5278 T(x,y * (z * a(u,w,v5))) = T(x,y * z) # label("p9loop 0 5000 ID<2538949>"). [assumption]. 5279 T(x,a(y,z,u) \ w) = T(x,w) # label("p9loop 0 5001 ID<2533108>"). [assumption]. 5282 T(x,a(y,z,u) * w) = T(x,w) # label("p9loop 0 5004 ID<2506470>"). [assumption]. 5283 (x * a(y,z,u)) * T(w,x) = w * (x * a(y,z,u)) # label("p9loop 0 5005 ID<2613660>"). [assumption]. 5284 T(x,y * a(z,u,w)) = T(x,y) # label("p9loop 0 5006 ID<2507968>"). [assumption]. 5285 K(x,a(y,z,u) \ w) = K(x,w) # label("p9loop 0 5007 ID<2381217>"). [assumption]. 5286 K(x,y * a(z,u,w)) = K(x,y) # label("p9loop 0 5008 ID<2382354>"). [assumption]. 5289 K(x,y \ a(z,u,w)) = K(x,y \ 1) # label("p9loop 0 5011 ID<2372510>"). [assumption]. 5292 T(x,(y * z) * u) = T(x,y * (z * u)) # label("p9loop 0 5014 ID<2488957>"). [assumption]. 5293 K(x,R(y,z,u) * w) = K(x,y * w) # label("p9loop 0 5015 ID<2373267>"). [assumption]. 5295 K(x,y * R(z,u,w)) = K(x,y * z) # label("p9loop 0 5017 ID<2407759>"). [assumption]. 5296 K((x \ y) * (y \ z),u) = K(x \ z,u) # label("p9loop 0 5018 ID<2358846>"). [assumption]. 5297 K(x \ (y * z),u) = K((x \ y) * z,u) # label("p9loop 0 5019 ID<2358318>"). [assumption]. 5300 K(x,a(y,z,u) * w) = K(x,w) # label("p9loop 0 5022 ID<2393495>"). [assumption]. 5301 K(a(x,y,z) \ u,w) = K(u,w) # label("p9loop 0 5023 ID<2437689>"). [assumption]. 5306 L(x \ 1,y,a(x,z,u)) = x \ 1 # label("p9loop 0 5028 ID<2589374>"). [assumption]. 5307 L(1 / x,y,a(x,z,u)) = 1 / x # label("p9loop 0 5029 ID<2627419>"). [assumption]. 5311 a(x,x,x \ y) = ((x \ y) / y) * x # label("p9loop 0 5033 ID<2174126>"). [assumption]. 5312 R(T(x,y),x,y) = y \ ((1 / x) \ y) # label("p9loop 0 5034 ID<2177511>"). [assumption]. 5313 x * ((x \ y) / y) = a(x,x \ 1,y) # label("p9loop 0 5035 ID<2185978>"). [assumption]. 5315 ((x / (y * x)) \ 1) \ y = a(y,y,x) # label("p9loop 0 5037 ID<2201913>"). [assumption]. 5316 a(L(x,y,x * z),z,z) = a(x,z,z) # label("p9loop 0 5038 ID<2279922>"). [assumption]. 5320 K(x,L(y,z,u) * w) = K(x,y * w) # label("p9loop 0 5042 ID<2305977>"). [assumption]. 5321 K(x,y * L(z,u,w)) = K(x,y * z) # label("p9loop 0 5043 ID<2306065>"). [assumption]. 5322 x * L(x \ T(y,z),u,w) = T(x * L(x \ y,u,w),z) # label("p9loop 0 5044 ID<2304141>"). [assumption]. 5325 K(x,(y / z) \ u) = K(x,z * (y \ u)) # label("p9loop 0 5047 ID<2307815>"). [assumption]. 5326 K(x,y \ (z * u)) = K(x,(y \ z) * u) # label("p9loop 0 5048 ID<2306156>"). [assumption]. 5327 K(x,(y \ z) * (z \ u)) = K(x,y \ u) # label("p9loop 0 5049 ID<2307519>"). [assumption]. 5328 T(x,(y / z) \ u) = T(x,z * (y \ u)) # label("p9loop 0 5050 ID<2474955>"). [assumption]. 5329 T(x,(y \ z) * (z \ u)) = T(x,y \ u) # label("p9loop 0 5051 ID<2498501>"). [assumption]. 5330 T(x,y \ (z * u)) = T(x,(y \ z) * u) # label("p9loop 0 5052 ID<2498064>"). [assumption]. 5333 T(x,y * (z / (u \ w))) = T(x,y * (z * (w \ u))) # label("p9loop 0 5055 ID<2501468>"). [assumption]. 5336 T(x,y / (z / u)) = T(x,y * (u / z)) # label("p9loop 0 5058 ID<2474962>"). [assumption]. 5339 T(x,y * (z * R(u,w,v5))) = T(x,y * (z * u)) # label("p9loop 0 5061 ID<2587667>"). [assumption]. 5340 K(x,y / (z / u)) = K(x,y * (u / z)) # label("p9loop 0 5062 ID<2305554>"). [assumption]. 5342 K(x,y \ ((z \ u) \ w)) = K(x,(y \ (u \ z)) * w) # label("p9loop 0 5064 ID<2327999>"). [assumption]. 5343 K(x,T((y / z) * u,w)) = K(x,T(y * (z \ u),w)) # label("p9loop 0 5065 ID<2354208>"). [assumption]. 5345 K(x,y * ((y \ z) * u)) = K(x,z * u) # label("p9loop 0 5067 ID<2307694>"). [assumption]. 5347 K(x,(y / z) * u) = K(x,y * (z \ u)) # label("p9loop 0 5069 ID<2307206>"). [assumption]. 5348 K(x,y * (z * (y \ u))) = K(x,T(z,y) * u) # label("p9loop 0 5070 ID<2307827>"). [assumption]. 5351 K(x,(y \ z) * (y * u)) = K(x,T(z,y) * u) # label("p9loop 0 5073 ID<2307380>"). [assumption]. 5355 K(x,T((y \ z) * u,y)) = K(x,z * (u / y)) # label("p9loop 0 5077 ID<2312818>"). [assumption]. 5359 T(x,y * (z * (u * R(w,v5,v6)))) = T(x,y * (z * (u * w))) # label("p9loop 0 5081 ID<2603248>"). [assumption]. 5380 R(T(x,y),x,y) \ z = (y \ ((1 / x) \ y)) \ z # label("p9loop 0 5102 ID<2684405>"). [assumption]. 5381 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z) # label("p9loop 0 5103 ID<2303392>"). [assumption]. 5389 (x \ 1) \ (x \ L(y,z,u)) = L((x \ 1) \ (x \ y),z,u) # label("p9loop 0 5111 ID<2276662>"). [assumption]. 5390 ((x * y) * z) \ ((x * (y * z)) * z) = L(z,y,x) # label("p9loop 0 5112 ID<2600282>"). [assumption]. 5397 x * T(x \ (y \ x),y) = T(y,y \ 1) \ x # label("p9loop 0 5119 ID<1250908>"). [assumption]. 5398 a(x,y,(z * (u \ R(w,v5,v6))) * v7) = a(x,y,(z * (u \ L(w,v5,v6))) * v7) # label("p9loop 0 5120 ID<2742725>"). [assumption]. 5400 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z) # label("p9loop 0 5122 ID<4119>"). [assumption]. 5401 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x # label("p9loop 0 5123 ID<1677156>"). [assumption]. 5402 L(x,y,z) * (x \ 1) = x \ L(x,y,z) # label("p9loop 0 5124 ID<652974>"). [assumption]. 5406 T(x \ y,y \ x) \ (y / x) = ((x \ y) \ 1) * (y / x) # label("p9loop 0 5128 ID<893189>"). [assumption]. 5407 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x # label("p9loop 0 5129 ID<3747>"). [assumption]. 5411 T(x,y) \ (x \ z) = x \ (T(x,y) \ z) # label("p9loop 0 5133 ID<412606>"). [assumption]. 5425 R(x,y,y) / y = x / L(y,y,x) # label("p9loop 0 5147 ID<2763116>"). [assumption]. 5428 K(L(x,y,z) \ u,w) = K(x \ u,w) # label("p9loop 0 5150 ID<2306385>"). [assumption]. 5429 K(L(x,y,z) * u,w) = K(x * u,w) # label("p9loop 0 5151 ID<2306515>"). [assumption]. 5430 K(x,y \ L(z,u,w)) = K(x,y \ z) # label("p9loop 0 5152 ID<2307523>"). [assumption]. 5431 K(x,L(y,z,u) \ w) = K(x,y \ w) # label("p9loop 0 5153 ID<2307703>"). [assumption]. 5432 K(x / L(y,z,u),w) = K(x / y,w) # label("p9loop 0 5154 ID<2316807>"). [assumption]. 5434 K(x * L(y,z,u),w) = K(x * y,w) # label("p9loop 0 5156 ID<2359976>"). [assumption]. 5435 K(x,R(y,z,u) / w) = K(x,y / w) # label("p9loop 0 5157 ID<2369543>"). [assumption]. 5436 K(x,y / R(z,u,w)) = K(x,y / z) # label("p9loop 0 5158 ID<2372589>"). [assumption]. 5437 K(x * R(y,z,u),w) = K(x * y,w) # label("p9loop 0 5159 ID<2437665>"). [assumption]. 5442 (x \ y) * ((y \ x) * T((y \ x) \ z,u)) = T((x \ y) * z,u) # label("p9loop 0 5164 ID<2781461>"). [assumption]. 5444 (x \ y) \ T((x \ y) * z,u) = (y \ x) * T((y \ x) \ z,u) # label("p9loop 0 5166 ID<2782383>"). [assumption]. 5446 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u) # label("p9loop 0 5168 ID<1395239>"). [assumption]. 5455 x \ ((1 / x) \ a(y,z,u)) = L(a(y,z,u),x,x) # label("p9loop 0 5177 ID<2795186>"). [assumption]. 5458 (x * R(x \ (a(y,z,u) \ x),w,v5)) * a(y,z,u) = x * (a(y,z,u) \ L(a(y,z,u),w,v5)) # label("p9loop 0 5180 ID<2796580>"). [assumption]. 5463 x \ (y / ((1 / x) * y)) = ((x \ y) / y) * x # label("p9loop 0 5185 ID<2802410>"). [assumption]. 5466 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y # label("p9loop 0 5188 ID<2804599>"). [assumption]. 5468 (x * R(x \ y,z,u)) * (x \ w) = w * R(w \ (y * (x \ w)),z,u) # label("p9loop 0 5190 ID<2794723>"). [assumption]. 5473 x * L(y \ R(y,z,u),x,x) = (y / x) \ R(y,z,u) # label("p9loop 0 5195 ID<2812090>"). [assumption]. 5477 x * L(y \ L(y,z,u),x,x) = (1 / x) \ (y \ L(y,z,u)) # label("p9loop 0 5199 ID<2813554>"). [assumption]. 5478 R(x \ 1,y,z) * ((x \ 1) \ u) = R(x,y,z) * (x \ u) # label("p9loop 0 5200 ID<2808099>"). [assumption]. 5479 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w) # label("p9loop 0 5201 ID<2791285>"). [assumption]. 5481 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)) # label("p9loop 0 5203 ID<2791303>"). [assumption]. 5487 (x \ y) * L((x \ y) \ (z / x),u,w) = (y * L(y \ z,u,w)) / x # label("p9loop 0 5209 ID<2819853>"). [assumption]. 5489 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)) # label("p9loop 0 5211 ID<2819540>"). [assumption]. 5491 ((x \ y) * L((x \ y) \ z,u,w)) * x = y * L(y \ (z * x),u,w) # label("p9loop 0 5213 ID<2822877>"). [assumption]. 5497 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1) # label("p9loop 0 5219 ID<803414>"). [assumption]. 5499 T((x \ 1) * (x \ y),x \ 1) = x \ (y * (x \ 1)) # label("p9loop 0 5221 ID<2128544>"). [assumption]. 5500 ((x \ 1) * (x \ y)) * z = (x \ 1) * (x \ (y * z)) # label("p9loop 0 5222 ID<1124671>"). [assumption]. 5502 ((x \ 1) * (x \ y)) / z = (x \ 1) * (x \ (y / z)) # label("p9loop 0 5224 ID<2832895>"). [assumption]. 5503 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1) # label("p9loop 0 5225 ID<202843>"). [assumption]. 5505 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1) # label("p9loop 0 5227 ID<19524>"). [assumption]. 5508 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1) # label("p9loop 0 5230 ID<2725>"). [assumption]. 5509 x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z) # label("p9loop 0 5231 ID<2843717>"). [assumption]. 5510 (x * y) \ (x * ((x \ 1) \ z)) = ((x \ 1) * y) \ z # label("p9loop 0 5232 ID<1730988>"). [assumption]. 5511 (x * ((x \ 1) \ y)) * z = x * ((x \ 1) \ (y * z)) # label("p9loop 0 5233 ID<2846595>"). [assumption]. 5512 (x * ((x \ 1) \ y)) / z = x * ((x \ 1) \ (y / z)) # label("p9loop 0 5234 ID<2849580>"). [assumption]. 5513 T(x * ((x \ 1) \ y),x) = (x \ 1) \ (y * x) # label("p9loop 0 5235 ID<2848922>"). [assumption]. 5515 ((x \ 1) * (x \ y)) \ z = y \ (x * ((x \ 1) \ z)) # label("p9loop 0 5237 ID<2846941>"). [assumption]. 5516 ((x \ 1) * y) * L(z,y,x) = (x \ 1) * (y * z) # label("p9loop 0 5238 ID<911538>"). [assumption]. 5517 L(x \ ((y \ 1) \ z),x,y) = ((y \ 1) * x) \ z # label("p9loop 0 5239 ID<1166160>"). [assumption]. 5518 L(x \ ((1 / y) \ z),x,y) = ((1 / y) * x) \ z # label("p9loop 0 5240 ID<1152452>"). [assumption]. 5519 ((1 / x) * y) * L(z,y,x) = (1 / x) * (y * z) # label("p9loop 0 5241 ID<1053892>"). [assumption]. 5523 L(x,y,(z * u) \ u) = L(x,y,u \ (z \ u)) # label("p9loop 0 5245 ID<2863737>"). [assumption]. 5524 L(x,y,(z * u) \ z) = L(x,y,z \ (u \ z)) # label("p9loop 0 5246 ID<2864494>"). [assumption]. 5525 L(x,y,L(z,z,u * z)) = L(x,y,L(z,z,u)) # label("p9loop 0 5247 ID<2866297>"). [assumption]. 5530 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z) # label("p9loop 0 5252 ID<1025331>"). [assumption]. 5534 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)) # label("p9loop 0 5256 ID<1497643>"). [assumption]. 5535 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x) # label("p9loop 0 5257 ID<2875038>"). [assumption]. 5537 R(T(x / y,y * z),y,z) = (y * z) \ (x * z) # label("p9loop 0 5260 ID<1058267>"). [assumption]. 5540 L(x,y,z \ (x \ z)) = L(x,y,x) # label("p9loop 0 5263 ID<2865329>"). [assumption]. 5541 K(x \ R(y,z,u),w) = K(x \ y,w) # label("p9loop 0 5264 ID<2447330>"). [assumption]. 5542 K(x / R(y,z,u),w) = K(x / y,w) # label("p9loop 0 5265 ID<2447436>"). [assumption]. 5543 K(x,y \ R(z,u,w)) = K(x,y \ z) # label("p9loop 0 5266 ID<2458801>"). [assumption]. 5544 T(x,y * L(z,u,w)) = T(x,y * z) # label("p9loop 0 5267 ID<2469848>"). [assumption]. 5545 T(x,L(y,z,u) * w) = T(x,y * w) # label("p9loop 0 5268 ID<2498590>"). [assumption]. 5546 T(x,y / L(z,u,w)) = T(x,y / z) # label("p9loop 0 5269 ID<2498848>"). [assumption]. 5547 T(x,y \ a(z,u,w)) = T(x,y \ 1) # label("p9loop 0 5270 ID<2541172>"). [assumption]. 5550 T(x,R(y,z,u) * w) = T(x,y * w) # label("p9loop 0 5273 ID<2558106>"). [assumption]. 5552 L(x,a(y,z,u) * w,x) = L(x,w,x) # label("p9loop 0 5275 ID<2569433>"). [assumption]. 5553 T(x,R(y,z,u) \ w) = T(x,y \ w) # label("p9loop 0 5276 ID<2570311>"). [assumption]. 5554 T(x,y / R(z,u,w)) = T(x,y / z) # label("p9loop 0 5277 ID<2579233>"). [assumption]. 5556 K(x / y,T(x,z)) = K(y \ x,T(x,z)) # label("p9loop 0 5279 ID<32756>"). [assumption]. 5557 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)) # label("p9loop 0 5280 ID<32781>"). [assumption]. 5559 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z) # label("p9loop 0 5282 ID<2881632>"). [assumption]. 5562 L(a(x,x,y) \ z,a(x,x,y),L(y,x,x)) = (z / y) * L(y,x,x) # label("p9loop 0 5285 ID<915475>"). [assumption]. 5569 L(T((1 / x) \ y,x),x,x) = (x \ 1) * (((x \ 1) \ y) * x) # label("p9loop 0 5292 ID<1745413>"). [assumption]. 5570 ((x * x) \ y) * x = (1 / x) * T(y,x) # label("p9loop 0 5293 ID<988955>"). [assumption]. 5574 L(x,y,y) \ (1 / y) = (y * (y * x)) \ y # label("p9loop 0 5297 ID<2041585>"). [assumption]. 5575 ((x \ 1) * y) \ ((x \ 1) * z) = (x * y) \ (x * z) # label("p9loop 0 5298 ID<1730050>"). [assumption]. 5579 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x) # label("p9loop 0 5302 ID<2907403>"). [assumption]. 5593 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x # label("p9loop 0 5316 ID<2916225>"). [assumption]. 5595 (x * R(y,z,u)) / x = R((x * y) / x,z,u) # label("p9loop 0 5318 ID<1523164>"). [assumption]. 5597 x * (y * ((x * (y \ (x \ z))) / x)) = y * (x * ((y \ z) / x)) # label("p9loop 0 5320 ID<2924667>"). [assumption]. 5598 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z # label("p9loop 0 5321 ID<2926090>"). [assumption]. 5599 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z) # label("p9loop 0 5322 ID<2927610>"). [assumption]. 5605 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y) # label("p9loop 0 5328 ID<2924205>"). [assumption]. 5606 (a(x,y,z) * u) \ (u * (w * a(x,y,z))) = L(w,a(x,y,z),u) # label("p9loop 0 5329 ID<2933344>"). [assumption]. 5608 a(x * y,x,y) / y = (1 / (x * y)) * x # label("p9loop 0 5331 ID<2933206>"). [assumption]. 5611 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y) # label("p9loop 0 5334 ID<1518076>"). [assumption]. 5612 (x * L(y,z,u)) / x = L((x * y) / x,z,u) # label("p9loop 0 5335 ID<1524638>"). [assumption]. 5616 ((x \ y) * x) * (x \ y) = y * T(x \ y,x) # label("p9loop 0 5339 ID<561962>"). [assumption]. 5621 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u) # label("p9loop 0 5344 ID<2265533>"). [assumption]. 5623 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x) # label("p9loop 0 5346 ID<1595001>"). [assumption]. 5624 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z) # label("p9loop 0 5347 ID<2873962>"). [assumption]. 5626 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z) # label("p9loop 0 5349 ID<2215247>"). [assumption]. 5631 L(x,y,y) \ L(x * z,y,y) = L(L(z,x,y),y * x,y) # label("p9loop 0 5354 ID<2958693>"). [assumption]. 5633 x \ (((y * y) \ z) * ((y * y) * x)) = T(z,y * (y * x)) # label("p9loop 0 5356 ID<2960834>"). [assumption]. 5637 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))) # label("p9loop 0 5360 ID<2960041>"). [assumption]. 5641 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)) # label("p9loop 0 5364 ID<2963272>"). [assumption]. 5643 (((x * x) \ y) * z) \ u = (y * z) \ ((x * x) * u) # label("p9loop 0 5366 ID<1303238>"). [assumption]. 5644 (x * y) \ ((x * x) * z) = ((1 / x) * y) \ z # label("p9loop 0 5367 ID<1153389>"). [assumption]. 5645 ((x * x) \ y) / z = (x * x) \ (y / z) # label("p9loop 0 5368 ID<987949>"). [assumption]. 5648 L(x,y,z \ (u \ ((w \ 1) \ v5))) = L(x,y,z \ (u \ (w \ v5))) # label("p9loop 0 5371 ID<2977968>"). [assumption]. 5649 (((x * x) \ y) * z) / u = (x * x) \ ((y * z) / u) # label("p9loop 0 5372 ID<2976315>"). [assumption]. 5650 (x * x) \ ((x * y) / z) = ((1 / x) * y) / z # label("p9loop 0 5373 ID<2976250>"). [assumption]. 5651 (1 / x) \ (((1 / x) * y) / z) = x \ ((x * y) / z) # label("p9loop 0 5374 ID<2980686>"). [assumption]. 5661 T(x,T(y \ 1,z)) = T(x,y \ K(z,y)) # label("p9loop 0 5384 ID<36216>"). [assumption]. 5663 K(x,y / z) * y = y * K(x,z \ y) # label("p9loop 0 5386 ID<37415>"). [assumption]. 5664 (x / y) * (y * K(z,u)) = x * K(z,u) # label("p9loop 0 5387 ID<39061>"). [assumption]. 5666 T(x * (y * K(z,x * y)),z) = x * y # label("p9loop 0 5389 ID<42617>"). [assumption]. 5667 x \ T(y,y \ z) = x \ ((y \ z) \ z) # label("p9loop 0 5390 ID<54681>"). [assumption]. 5668 T(x,x \ y) \ z = ((x \ y) \ y) \ z # label("p9loop 0 5391 ID<54682>"). [assumption]. 5669 x / T(y,y \ z) = x / ((y \ z) \ z) # label("p9loop 0 5392 ID<54683>"). [assumption]. 5670 x * T(y,y \ z) = x * ((y \ z) \ z) # label("p9loop 0 5393 ID<54685>"). [assumption]. 5671 T(x,x \ y) * z = ((x \ y) \ y) * z # label("p9loop 0 5394 ID<54686>"). [assumption]. 5675 K(x,y) * ((y * x) / z) = (x * y) / z # label("p9loop 0 5398 ID<59775>"). [assumption]. 5676 T(T(x,y),K(z,u)) = T(x,y * K(z,u)) # label("p9loop 0 5399 ID<60259>"). [assumption]. 5679 a(x,(y \ (z * u)) * w,v5) = a(x,w * (y \ (u * z)),v5) # label("p9loop 0 5402 ID<3013615>"). [assumption]. 5695 ((x \ y) \ y) \ (T(x,x \ y) * z) = z # label("p9loop 0 5418 ID<862203>"). [assumption]. 5698 (x * T(y,y \ z)) / ((y \ z) \ z) = x # label("p9loop 0 5421 ID<299847>"). [assumption]. 5701 R(x \ y,x,x \ 1) = T(y * (x \ 1),x) # label("p9loop 0 5425 ID<1163346>"). [assumption]. 5702 R(x \ (y / z),x,z) = T(y / (x * z),x) # label("p9loop 0 5426 ID<1658622>"). [assumption]. 5703 T((x * y) / (z * y),z) = R(z \ x,z,y) # label("p9loop 0 5427 ID<3031908>"). [assumption]. 5704 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x) # label("p9loop 0 5428 ID<3033748>"). [assumption]. 5709 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y) # label("p9loop 0 5433 ID<416986>"). [assumption]. 5710 R(x / y,z,u) * y = y * R(y \ x,z,u) # label("p9loop 0 5434 ID<210274>"). [assumption]. 5711 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y) # label("p9loop 0 5435 ID<19644>"). [assumption]. 5712 x * ((1 / x) * (y * x)) = L(y,x,x) * x # label("p9loop 0 5436 ID<1898625>"). [assumption]. 5713 L(x,L(y,z,z) * z,u) = L(x,L(y * z,z,z),u) # label("p9loop 0 5437 ID<3043805>"). [assumption]. 5715 x * ((1 / x) * (y * ((x \ z) \ z))) = L(y,x,x) * ((x \ z) \ z) # label("p9loop 0 5439 ID<3043470>"). [assumption]. 5716 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y) # label("p9loop 0 5440 ID<10403>"). [assumption]. 5718 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x # label("p9loop 0 5442 ID<53208>"). [assumption]. 5719 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z) # label("p9loop 0 5443 ID<1897861>"). [assumption]. 5720 x * (y * T(z,x * y)) = L(z,y,x) * (x * y) # label("p9loop 0 5444 ID<232162>"). [assumption]. 5722 L(x,y \ (z \ y),z) * a(z,z \ 1,y) = z * (((z \ y) / y) * x) # label("p9loop 0 5446 ID<3053143>"). [assumption]. 5724 ((x * x) * y) / z = (x * x) * (y / z) # label("p9loop 0 5448 ID<521666>"). [assumption]. 5726 (x * x) * ((((x * x) \ y) * z) * u) = (y * z) * u # label("p9loop 0 5450 ID<38701>"). [assumption]. 5727 a((x * (y \ (z * z))) \ u,w,v5) = a((y * x) \ u,w,v5) # label("p9loop 0 5451 ID<3059773>"). [assumption]. 5728 ((x * x) \ y) \ z = y \ ((x * x) * z) # label("p9loop 0 5452 ID<873254>"). [assumption]. 5729 ((x * x) \ (y / z)) * z = (x * x) \ y # label("p9loop 0 5453 ID<987975>"). [assumption]. 5731 ((x * x) \ y) * (x * x) = T(y,x * x) # label("p9loop 0 5455 ID<654598>"). [assumption]. 5754 L(x,y,z) != (z * y) \ u | y \ (z \ u) = x # label("p9loop 0 5478 ID<1303302>"). [assumption]. 5755 L(x,y,z) != u | y \ (z \ ((z * y) * u)) = x # label("p9loop 0 5479 ID<3075567>"). [assumption]. 5756 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w) # label("p9loop 0 5480 ID<1303299>"). [assumption]. 5758 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u) # label("p9loop 0 5482 ID<4594>"). [assumption]. 5763 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u) # label("p9loop 0 5487 ID<1300603>"). [assumption]. 5772 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z) # label("p9loop 0 5496 ID<1059130>"). [assumption]. 5773 (x * y) / (y * T(y,z)) = R(x / T(y,z),y,y) # label("p9loop 0 5497 ID<766454>"). [assumption]. 5774 T((x * y) / (z * y),u) = R(T(x / z,u),z,y) # label("p9loop 0 5498 ID<1058178>"). [assumption]. 5775 R(x / y,y,y \ z) = (x * (y \ z)) / z # label("p9loop 0 5499 ID<766362>"). [assumption]. 5779 a(x,y,z \ K(u,w)) = a(x,y,z \ 1) # label("p9loop 0 5503 ID<63071>"). [assumption]. 5780 a(x,y \ K(z,u),w) = a(x,y \ 1,w) # label("p9loop 0 5504 ID<64781>"). [assumption]. 5781 T(T(x,K(y,z)),u) = T(x,u * K(y,z)) # label("p9loop 0 5505 ID<66208>"). [assumption]. 5782 K(x,y \ z) * z = z * K(x,z / y) # label("p9loop 0 5506 ID<67776>"). [assumption]. 5785 L(x,T(y,z) * u,w) = L(x,u * y,w) # label("p9loop 0 5509 ID<70345>"). [assumption]. 5786 L(x,y,z \ T(u,w)) = L(x,y,z \ u) # label("p9loop 0 5510 ID<70636>"). [assumption]. 5787 L(x,y,z * T(u,w)) = L(x,y,z * u) # label("p9loop 0 5511 ID<70685>"). [assumption]. 5788 L(x,T(y,z) \ u,w) = L(x,y \ u,w) # label("p9loop 0 5512 ID<71742>"). [assumption]. 5789 x \ T(y,K(x,z)) = T(x \ y,K(x,z)) # label("p9loop 0 5513 ID<73691>"). [assumption]. 5790 L(x,y,T(z,u) \ w) = L(x,y,z \ w) # label("p9loop 0 5514 ID<74928>"). [assumption]. 5791 K((x * y) \ z,u) = K(y \ (x \ z),u) # label("p9loop 0 5515 ID<76268>"). [assumption]. 5793 x * T(y,K(x,z)) = T(x * y,K(x,z)) # label("p9loop 0 5517 ID<77871>"). [assumption]. 5795 K(x,T(T(y,z),u)) = K(x,T(y,u * z)) # label("p9loop 0 5519 ID<79911>"). [assumption]. 5796 K(x,T(y,z * (u * z))) = K(x,T(y,u)) # label("p9loop 0 5520 ID<79931>"). [assumption]. 5799 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z # label("p9loop 0 5523 ID<200348>"). [assumption]. 5800 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z # label("p9loop 0 5524 ID<201292>"). [assumption]. 5801 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u) # label("p9loop 0 5525 ID<1057144>"). [assumption]. 5802 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u) # label("p9loop 0 5526 ID<1057143>"). [assumption]. 5804 R(x,x \ y,z) \ (y * z) = (x \ y) * z # label("p9loop 0 5528 ID<1206131>"). [assumption]. 5805 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z) # label("p9loop 0 5529 ID<3112318>"). [assumption]. 5806 L(x * (y * z),a(x,y,z),((x * y) * z) \ u) \ u = a(x,y,z) * (((x * y) * z) \ u) # label("p9loop 0 5530 ID<3113830>"). [assumption]. 5808 L(a(x,y,z) \ u,a(x,y,z),u \ w) \ w = a(x,y,z) * (u \ w) # label("p9loop 0 5532 ID<3113848>"). [assumption]. 5809 R(x / y,y,x \ z) \ z = y * (x \ z) # label("p9loop 0 5533 ID<1749660>"). [assumption]. 5811 a(x,y * (z * (u \ (w / v5))),v6) = a(x,y * (z * (u \ (v5 \ w))),v6) # label("p9loop 0 5535 ID<3117853>"). [assumption]. 5813 T(x,x \ y) * ((y / x) \ z) = x * ((x \ y) \ z) # label("p9loop 0 5537 ID<3118418>"). [assumption]. 5814 L(L(x \ y,x,z),z * x,u) = (u * (z * x)) \ (u * (z * y)) # label("p9loop 0 5538 ID<1056877>"). [assumption]. 5815 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)) # label("p9loop 0 5539 ID<344316>"). [assumption]. 5816 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u) # label("p9loop 0 5540 ID<1056876>"). [assumption]. 5817 a(x,R(y,z,u),w) = a(x,L(y,z,u),w) # label("p9loop 0 5541 ID<3126495>"). [assumption]. 5818 L(x \ (1 / y),x,y) = (y * x) \ K(y,y \ 1) # label("p9loop 0 5542 ID<1055909>"). [assumption]. 5819 R((x * y) \ (x * z),u,w) = L(R(y \ z,u,w),y,x) # label("p9loop 0 5543 ID<1055732>"). [assumption]. 5820 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x) # label("p9loop 0 5544 ID<1055731>"). [assumption]. 5823 L((x \ y) \ z,x \ y,x) = y \ (x * z) # label("p9loop 0 5547 ID<871674>"). [assumption]. 5827 L(x \ T(y,z),x,z) = (z * x) \ (y * z) # label("p9loop 0 5551 ID<74656>"). [assumption]. 5830 (T(x * x,y) * z) \ u = z \ (T(x * x,y) \ u) # label("p9loop 0 5554 ID<3141248>"). [assumption]. 5831 L(x * K(y * x,z),y,z) = (z * y) \ ((y * x) * z) # label("p9loop 0 5555 ID<3139413>"). [assumption]. 5835 (x * x) * (L(y,x,x) * z) = (x * (x * y)) * z # label("p9loop 0 5559 ID<506150>"). [assumption]. 5839 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u) # label("p9loop 0 5563 ID<1053940>"). [assumption]. 5840 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x) # label("p9loop 0 5564 ID<523570>"). [assumption]. 5842 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y) # label("p9loop 0 5566 ID<1053939>"). [assumption]. 5843 ((x * y) * (L(z,y,x) * u)) \ ((x * (y * z)) * u) = a(x * y,L(z,y,x),u) # label("p9loop 0 5567 ID<1053937>"). [assumption]. 5844 (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)) # label("p9loop 0 5568 ID<1053936>"). [assumption]. 5846 ((x \ 1) / x) * y = (x \ 1) * (x \ y) # label("p9loop 0 5570 ID<1049082>"). [assumption]. 5848 ((x \ 1) / x) \ y = x * ((x \ 1) \ y) # label("p9loop 0 5572 ID<1050414>"). [assumption]. 5849 L(L(x \ y,z,u),x,x) = L((1 / x) * y,z,u) # label("p9loop 0 5573 ID<918923>"). [assumption]. 5850 L((x * y) \ (x * z),y,y) = L((1 / y) * z,y,x) # label("p9loop 0 5574 ID<3162208>"). [assumption]. 5851 L(R(x \ y,z,u),x,x) = R((1 / x) * y,z,u) # label("p9loop 0 5575 ID<918922>"). [assumption]. 5852 L(T(x \ y,z),x,x) = T((1 / x) * y,z) # label("p9loop 0 5576 ID<918856>"). [assumption]. 5860 (x * x) * ((1 / y) * z) = ((x * x) / y) * z # label("p9loop 0 5584 ID<918920>"). [assumption]. 5864 T(x \ y,z) * (y / x) = (y / x) * T(x \ y,z) # label("p9loop 0 5588 ID<229210>"). [assumption]. 5866 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x # label("p9loop 0 5590 ID<229061>"). [assumption]. 5867 x * L(y,z \ x,z) = z * ((z \ x) * y) # label("p9loop 0 5592 ID<506154>"). [assumption]. 5868 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)) # label("p9loop 0 5593 ID<201962>"). [assumption]. 5873 ((x * x) * y) \ z = y \ ((x * x) \ z) # label("p9loop 0 5598 ID<838120>"). [assumption]. 5876 (x * x) \ (y * z) = ((x * x) \ y) * z # label("p9loop 0 5601 ID<988200>"). [assumption]. 5882 L(x,y * z,u) != w | L(x,z * y,u) = w # label("p9loop 0 5607 ID<3196186>"). [assumption]. 5885 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y) # label("p9loop 0 5610 ID<523436>"). [assumption]. 5889 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z) # label("p9loop 0 5614 ID<830418>"). [assumption]. 5891 T(x / (y * x),z) = R(T(1 / y,z),y,x) # label("p9loop 0 5616 ID<830416>"). [assumption]. 5892 R(1 / x,x,y) * z = (y / (x * y)) * z # label("p9loop 0 5617 ID<830323>"). [assumption]. 5895 x * R(1 / y,y,z) = x * (z / (y * z)) # label("p9loop 0 5620 ID<830319>"). [assumption]. 5899 K(x,T(y,z * (u * u))) = K(x,T(y,z)) # label("p9loop 0 5624 ID<79990>"). [assumption]. 5900 K((x \ y) / z,u) = K(x \ (y / z),u) # label("p9loop 0 5625 ID<82283>"). [assumption]. 5902 K(x,K(y,z \ u)) = K(x,K(y,u * z)) # label("p9loop 0 5627 ID<85568>"). [assumption]. 5904 T(x,T(T(y,z),u)) = T(x,T(y,u * z)) # label("p9loop 0 5629 ID<88370>"). [assumption]. 5905 T(x,(y / z) / u) = T(x,y / (u * z)) # label("p9loop 0 5630 ID<89491>"). [assumption]. 5911 K(x,(y \ z) / u) = K(x,y \ (z / u)) # label("p9loop 0 5636 ID<108550>"). [assumption]. 5912 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)) # label("p9loop 0 5637 ID<108908>"). [assumption]. 5915 K(x / (x * y),z) = K(x \ (y \ x),z) # label("p9loop 0 5640 ID<110907>"). [assumption]. 5918 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z) # label("p9loop 0 5643 ID<166374>"). [assumption]. 5920 T((x * y) \ x,z) = L(T(y \ 1,z),y,x) # label("p9loop 0 5645 ID<166372>"). [assumption]. 5922 L(x \ 1,x,y) * z = ((y * x) \ y) * z # label("p9loop 0 5647 ID<166365>"). [assumption]. 5923 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z # label("p9loop 0 5648 ID<166361>"). [assumption]. 5929 (x / T(y,y \ z)) * ((y \ z) \ z) = x # label("p9loop 0 5654 ID<202842>"). [assumption]. 5931 R(x,y,y \ z) * z = (x * y) * (y \ z) # label("p9loop 0 5656 ID<530355>"). [assumption]. 5933 R(x / y,y,x \ z) = z / (y * (x \ z)) # label("p9loop 0 5658 ID<1058176>"). [assumption]. 5936 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z) # label("p9loop 0 5661 ID<1057076>"). [assumption]. 5938 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z) # label("p9loop 0 5663 ID<3253042>"). [assumption]. 5940 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y) # label("p9loop 0 5665 ID<523291>"). [assumption]. 5941 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w) # label("p9loop 0 5666 ID<265163>"). [assumption]. 5942 (x * y) \ (x * (z * y)) = L(T(z,y),y,x) # label("p9loop 0 5667 ID<19536>"). [assumption]. 5943 a(x,R(y,z,u) * w,v5) = a(x,L(y,z,u) * w,v5) # label("p9loop 0 5668 ID<3260079>"). [assumption]. 5944 a(x,y * R(z,u,w),v5) = a(x,y * L(z,u,w),v5) # label("p9loop 0 5669 ID<3260444>"). [assumption]. 5945 a(x,y * (z * R(u,w,v5)),v6) = a(x,y * (z * L(u,w,v5)),v6) # label("p9loop 0 5670 ID<3261267>"). [assumption]. 5947 a(x,(R(y,z,u) * w) * v5,v6) = a(x,(L(y,z,u) * w) * v5,v6) # label("p9loop 0 5672 ID<3260499>"). [assumption]. 5949 a(x,(y \ R(z,u,w)) * v5,v6) = a(x,(y \ L(z,u,w)) * v5,v6) # label("p9loop 0 5674 ID<3261839>"). [assumption]. 5961 (x * ((y * y) * (z * u))) \ ((x * ((y * y) * z)) * u) = a(x,(y * y) * z,u) # label("p9loop 0 5686 ID<293>"). [assumption]. 5962 L(L(L(x,y,z),u,w),v5,v6) = L(L(L(x,v5,v6),y,z),u,w) # label("p9loop 0 5687 ID<346>"). [assumption]. 5964 ((x * y) * (y \ z)) / z = R(x,y,y \ z) # label("p9loop 0 5689 ID<331>"). [assumption]. 5965 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)) # label("p9loop 0 5690 ID<330>"). [assumption]. 5966 R(x,x \ y,z) = (y * z) / ((x \ y) * z) # label("p9loop 0 5691 ID<329>"). [assumption]. 5967 x \ (y * ((y \ x) * z)) = L(z,y \ x,y) # label("p9loop 0 5692 ID<318>"). [assumption]. 5970 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z) # label("p9loop 0 5695 ID<298>"). [assumption]. 5971 (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y) # label("p9loop 0 5696 ID<297>"). [assumption]. 5973 x \ ((y * z) * (z \ (y \ x))) = a(y,z,z \ (y \ x)) # label("p9loop 0 5698 ID<3276452>"). [assumption]. 5981 a(x,y,a(z * u,w,v5)) = a(x,y,a(u * z,w,v5)) # label("p9loop 0 5706 ID<3283043>"). [assumption]. 5987 (L(x,y,y \ z) * z) \ (x * z) = a(y \ z,y,x) # label("p9loop 0 5712 ID<509039>"). [assumption]. 5990 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x) # label("p9loop 0 5715 ID<1691987>"). [assumption]. 5991 T(x,y) \ L(T(x,y),z,u) = x \ L(x,z,u) # label("p9loop 0 5716 ID<499610>"). [assumption]. 5992 a(x,y,L(z \ u,z,w)) = a(x,y,(z * w) \ (w * u)) # label("p9loop 0 5717 ID<956361>"). [assumption]. 5993 x * (y * L(y \ (x \ z),x,y)) = y * (x * ((y * x) \ z)) # label("p9loop 0 5718 ID<2732479>"). [assumption]. 5994 x \ ((x * y) * (y \ z)) = z * a(x,y,y \ z) # label("p9loop 0 5719 ID<2125549>"). [assumption]. 5997 ((x * a(y,z,u)) * w) \ (L(a(y,z,u),x,w) * ((x * w) * v5)) = L(v5,x * w,L(a(y,z,u),x,w)) # label("p9loop 0 5722 ID<3296025>"). [assumption]. 5999 (a(x,y,z) * u) \ ((w * u) * a(x,y,z)) = L(T(w,u),u,a(x,y,z)) # label("p9loop 0 5724 ID<6057>"). [assumption]. 6017 a(x * y,z,a(x,x,y)) = 1 # label("p9loop 0 5742 ID<3298144>"). [assumption]. 6029 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)) # label("p9loop 0 5754 ID<118791>"). [assumption]. 6030 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)) # label("p9loop 0 5755 ID<118805>"). [assumption]. 6033 (x / y) * K(y,x) = K(y,x) * (x / y) # label("p9loop 0 5758 ID<140222>"). [assumption]. 6034 (T(x,y) * z) \ K(x,y) = (x * z) \ 1 # label("p9loop 0 5759 ID<140481>"). [assumption]. 6041 a(x \ (y * z),u,w) = a(x \ (z * y),u,w) # label("p9loop 0 5766 ID<64978>"). [assumption]. 6047 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1) # label("p9loop 0 5772 ID<1258559>"). [assumption]. 6050 L(x \ a(y,z,u),x,a(y,z,u)) = ((a(y,z,u) \ 1) * x) \ 1 # label("p9loop 0 5775 ID<1150155>"). [assumption]. 6051 L(x,y,(z / u) \ w) = L(x,y,(u \ z) \ w) # label("p9loop 0 5776 ID<1020540>"). [assumption]. 6052 L(x,y,(z \ R(u,w,v5)) * v6) = L(x,y,(z \ L(u,w,v5)) * v6) # label("p9loop 0 5777 ID<2187215>"). [assumption]. 6055 R(x,y,z) * u != x * w | R(x,y,z) * (x \ u) = w # label("p9loop 0 5780 ID<2209976>"). [assumption]. 6057 T(x,y) * ((z * T(x,y)) \ u) = x * ((z * x) \ u) # label("p9loop 0 5782 ID<409588>"). [assumption]. 6067 ((x * y) * z) \ (x * (y * z)) = (x * y) \ ((x * (y * z)) / z) # label("p9loop 0 5792 ID<3299802>"). [assumption]. 6072 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1 # label("p9loop 0 5797 ID<1794251>"). [assumption]. 6073 (x * L(x \ y,z,x)) * z = x * (z * ((x * z) \ (y * z))) # label("p9loop 0 5798 ID<2823659>"). [assumption]. 6077 (x * y) \ (T(x,y) * z) = (y * x) \ (x * z) # label("p9loop 0 5802 ID<509774>"). [assumption]. 6078 (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y) # label("p9loop 0 5803 ID<1054318>"). [assumption]. 6082 L(x \ L(x,y,z),u,L(x,w,v5)) = x \ L(x,y,z) # label("p9loop 0 5807 ID<3354280>"). [assumption]. 6086 (x \ L(x,y,z)) \ L(u,x,x * L(x,y,z)) = x * (L(x,y,z) \ u) # label("p9loop 0 5811 ID<3355853>"). [assumption]. 6087 (x \ y) \ ((y \ x) \ 1) = y \ (x * ((y \ x) \ 1)) # label("p9loop 0 5812 ID<3359283>"). [assumption]. 6099 L(x,y,z \ L(L(z,u,w),v5,v6)) = L(x,y,z * L(L(z,u,w),v5,v6)) # label("p9loop 0 5824 ID<3368225>"). [assumption]. 6103 L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ ((w \ u) \ v5)) # label("p9loop 0 5828 ID<153217>"). [assumption]. 6111 (x * y) / (a(z,u,w) \ y) = (a(z,u,w) \ y) \ (y * x) # label("p9loop 0 5836 ID<3374969>"). [assumption]. 6112 (T(x,y) * (z \ 1)) * z = T((x * (z \ 1)) * z,y) # label("p9loop 0 5837 ID<1605309>"). [assumption]. 6114 T(x,(y \ z) / u) = T(x,y \ (z / u)) # label("p9loop 0 5839 ID<245800>"). [assumption]. 6115 a(((x \ L(x,y,z)) * u) * w,v5,v6) = a(((x * L(x,y,z)) * u) * w,v5,v6) # label("p9loop 0 5840 ID<2117111>"). [assumption]. 6120 L(x,(y \ 1) * z,y * z) = L(x,y \ z,y \ z) # label("p9loop 0 5845 ID<3379630>"). [assumption]. 6123 a(x,L(T(y,z),u,w),v5) = a(x,L(y,u,w),v5) # label("p9loop 0 5848 ID<62493>"). [assumption]. 6124 a(x,y,(T(z,u) * w) \ v5) = a(x,y,(z * w) \ v5) # label("p9loop 0 5849 ID<212166>"). [assumption]. 6125 a(x,y,(((z \ u) * z) \ w) \ v5) = a(x,y,(u \ w) \ v5) # label("p9loop 0 5850 ID<3383899>"). [assumption]. 6135 ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z # label("p9loop 0 5860 ID<1967761>"). [assumption]. 6147 T(T(x,y),K(x,z) * u) = T(T(x,y),u) # label("p9loop 0 5872 ID<140634>"). [assumption]. 6149 K(x,T(y * K(x,z),u)) = K(x,T(y,u)) # label("p9loop 0 5874 ID<140871>"). [assumption]. 6154 x / T(x * y,y \ 1) = (x * y) \ x # label("p9loop 0 5879 ID<166573>"). [assumption]. 6158 (x * y) * (z * K(y * z,u)) = R(x,y,z) * T(y * z,u) # label("p9loop 0 5883 ID<413307>"). [assumption]. 6167 (T(x,y) * z) \ (K(x,y) * u) = (x * z) \ u # label("p9loop 0 5892 ID<78374>"). [assumption]. 6169 (x * (y * K(z,u))) / w = (x * y) / (w * K(u,z)) # label("p9loop 0 5894 ID<636763>"). [assumption]. 6173 (x * y) / (a(z,u,w) * y) = (a(z,u,w) * y) \ (y * x) # label("p9loop 0 5898 ID<2665936>"). [assumption]. 6174 (x * y) \ ((z / x) \ (z * y)) = a(x \ z,x,y) # label("p9loop 0 5899 ID<2130066>"). [assumption]. 6179 K(x,T(y * (z * u),u)) = K(x,u * (y * z)) # label("p9loop 0 5904 ID<2307928>"). [assumption]. 6190 L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x # label("p9loop 0 5915 ID<1967844>"). [assumption]. 6191 (x * (y * z)) / T(x * y,z) = L(z,y,x) # label("p9loop 0 5916 ID<68691>"). [assumption]. 6192 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x) # label("p9loop 0 5917 ID<166373>"). [assumption]. 6194 x * (R(y,z,u) * x) = R(x * (y * x),z,u) # label("p9loop 0 5919 ID<2854040>"). [assumption]. 6200 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x) # label("p9loop 0 5925 ID<330368>"). [assumption]. 6201 T(x,y) * (T(x,z) \ u) = K(x,y) * (K(z,x) * u) # label("p9loop 0 5926 ID<493110>"). [assumption]. 6207 a(x,y,((z / u) * w) \ v5) = a(x,y,((u \ z) * w) \ v5) # label("p9loop 0 5932 ID<1313200>"). [assumption]. 6213 (x / (y \ 1)) * R(y \ 1,z,u) = R(y,z,u) * (y \ x) # label("p9loop 0 5938 ID<2814978>"). [assumption]. 6216 x \ (y \ ((y * z) * (z \ x))) = a(y,z,z \ x) # label("p9loop 0 5941 ID<2131422>"). [assumption]. 6217 (((x * y) * z) / (x * z)) * x = x * R(y,x,z) # label("p9loop 0 5942 ID<2924181>"). [assumption]. 6221 ((x * x) \ y) * (L(x,z,u) \ x) = ((x * L(x,z,u)) \ 1) * y # label("p9loop 0 5946 ID<2680065>"). [assumption]. 6224 ((x \ y) * z) / ((y / x) * z) = K(x \ y,x) # label("p9loop 0 5949 ID<230544>"). [assumption]. 6233 (x \ 1) * (x * (L(x,y,z) \ u)) = L(x,y,z) \ L(u,x \ 1,x) # label("p9loop 0 5958 ID<3478570>"). [assumption]. 6234 (x * (R(x,y,z) \ u)) * R(x,y,z) = u * x # label("p9loop 0 5959 ID<1957520>"). [assumption]. 6238 (x * K(y,z)) / u = x / (u * K(z,y)) # label("p9loop 0 5963 ID<522168>"). [assumption]. 6243 R(x,y \ L(y,z,u),w) = L(x,y \ L(y,z,u),w) # label("p9loop 0 5968 ID<3491898>"). [assumption]. 6248 (x / (x / y)) * x = y * ((y \ x) * y) # label("p9loop 0 5973 ID<553291>"). [assumption]. 6249 (x / y) * L(y,z,z \ x) = ((x / z) * (z * y)) / y # label("p9loop 0 5974 ID<643450>"). [assumption]. 6251 (x \ (y \ z)) * T(y,y \ z) = (x \ (z / y)) * y # label("p9loop 0 5976 ID<2952224>"). [assumption]. 6259 x != y | z * u != y | T(z,u) = u \ x # label("p9loop 0 5985 ID<196722>"). [assumption]. 6261 (x \ K(y,x)) \ 1 = T(T(x,y),x \ 1) # label("p9loop 0 5987 ID<199608>"). [assumption]. 6265 (x * y) \ (T(x,z) * y) = K(x,T(z,y)) # label("p9loop 0 5991 ID<203212>"). [assumption]. 6267 T(x,T(y,z)) * z = x * (z * K(x,y)) # label("p9loop 0 5993 ID<205011>"). [assumption]. 6268 L(x,y \ K(z,u),w) = L(x,y \ 1,w) # label("p9loop 0 5994 ID<206672>"). [assumption]. 6269 (x \ K(y,z)) * y = (x \ 1) * T(y,z) # label("p9loop 0 5996 ID<207167>"). [assumption]. 6279 K(x,y) / (z \ T(x,y)) = 1 / (z \ x) # label("p9loop 0 6006 ID<386535>"). [assumption]. 6283 L(L(x \ y,z,u),x,w) = L((w * x) \ (w * y),z,u) # label("p9loop 0 6010 ID<1055733>"). [assumption]. 6284 L(L(x,y,z) \ x,L(x,y,z),u) = (L(x,y,z) * u) \ (x * u) # label("p9loop 0 6011 ID<74662>"). [assumption]. 6295 L(x,y,((z / u) * w) * v5) = L(x,y,((u \ z) * w) * v5) # label("p9loop 0 6022 ID<557896>"). [assumption]. 6296 L(x,y,(z * (u \ 1)) * w) = L(x,y,(z * u) * w) # label("p9loop 0 6023 ID<1683302>"). [assumption]. 6298 L(x,y,L(T(z,u),w,v5)) = L(x,y,L(z,w,v5)) # label("p9loop 0 6025 ID<70637>"). [assumption]. 6300 R(T(x,y),z,u) * x = x * R(T(x,y),z,u) # label("p9loop 0 6027 ID<209458>"). [assumption]. 6301 R(T(x,y),z,u) \ T(x,y) = R(x,z,u) \ x # label("p9loop 0 6028 ID<355925>"). [assumption]. 6305 T((x * y) * z,x * (y * z)) = (x * y) * z # label("p9loop 0 6032 ID<398304>"). [assumption]. 6306 T((x / y) * L(y,z,u),x) = L(y,z,u) * (y \ x) # label("p9loop 0 6033 ID<1080155>"). [assumption]. 6308 T(R(x,y,z) \ x,u) = R(x,y,z) \ x # label("p9loop 0 6035 ID<1530394>"). [assumption]. 6313 a(x,y,R(z,u,w) \ L(L(z,u,w),v5,v6)) = a(x,y,L(z \ R(z,v5,v6),u,w)) # label("p9loop 0 6040 ID<2165006>"). [assumption]. 6314 a(x,y,z * (u * K(w,v5))) = a(x,y,z * u) # label("p9loop 0 6041 ID<62398>"). [assumption]. 6316 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y # label("p9loop 0 6043 ID<98087>"). [assumption]. 6325 ((x * L(x,y,z)) \ u) * (x \ L(x,y,z)) = (x * x) \ u # label("p9loop 0 6052 ID<3465264>"). [assumption]. 6328 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)) # label("p9loop 0 6055 ID<3110284>"). [assumption]. 6331 ((x * y) / (z * y)) * z = z * R(z \ x,z,y) # label("p9loop 0 6058 ID<2936857>"). [assumption]. 6340 (x * (y / z)) * L(u,z \ y,x) = x * ((y / z) * u) # label("p9loop 0 6067 ID<202467>"). [assumption]. 6342 L(x,y,z * (u * (w / v5))) = L(x,y,z * (u * (v5 \ w))) # label("p9loop 0 6069 ID<3639158>"). [assumption]. 6343 (x * (a(y,z,u) * w)) / w = w \ ((w * a(y,z,u)) * x) # label("p9loop 0 6070 ID<2638057>"). [assumption]. 6344 (x * (y * (z * K(u,w)))) \ v5 = K(w,u) * ((x * (y * z)) \ v5) # label("p9loop 0 6071 ID<71289>"). [assumption]. 6346 (x * L(x \ 1,y,z)) * u = u * (x * L(x \ 1,y,z)) # label("p9loop 0 6073 ID<1535091>"). [assumption]. 6353 (x / R(y,z,u)) * y = y * (R(y,z,u) \ x) # label("p9loop 0 6080 ID<21198>"). [assumption]. 6354 (x / y) \ (((x / y) * z) * u) = (y \ x) \ (((y \ x) * z) * u) # label("p9loop 0 6081 ID<862667>"). [assumption]. 6355 (x / y) \ L(x / y,z,u) = (y \ x) \ L(y \ x,z,u) # label("p9loop 0 6082 ID<653817>"). [assumption]. 6356 (x \ y) * K(z,T(u,y)) = x \ (K(z,u) * y) # label("p9loop 0 6083 ID<43741>"). [assumption]. 6357 K((x * y) * z,u) = K(x * (y * z),u) # label("p9loop 0 6084 ID<2358357>"). [assumption]. 6374 ((x / y) / x) * T(y * x,y) = x # label("p9loop 0 6101 ID<3615904>"). [assumption]. 6375 x / T(y * x,y) = (x / y) / x # label("p9loop 0 6102 ID<3671625>"). [assumption]. 6376 L(x \ 1,x,y * x) = y \ (y / x) # label("p9loop 0 6103 ID<3592107>"). [assumption]. 6377 L(x \ 1,x,x * y) = y \ (y / x) # label("p9loop 0 6104 ID<3680329>"). [assumption]. 6380 T((x \ y) * x,K(y,z)) = (x \ y) * x # label("p9loop 0 6107 ID<232085>"). [assumption]. 6381 K(x \ y,z) * x = x * K(y / x,z) # label("p9loop 0 6108 ID<233609>"). [assumption]. 6382 K(x,y) / (1 / y) = 1 / (K(y,x) / y) # label("p9loop 0 6109 ID<234673>"). [assumption]. 6383 T(x,x \ y) * y = x * (x * (y / x)) # label("p9loop 0 6110 ID<235972>"). [assumption]. 6387 R(x,y,T(z,u) \ w) = R(x,y,z \ w) # label("p9loop 0 6114 ID<303063>"). [assumption]. 6388 R(x,y,z * T(u,w)) = R(x,y,z * u) # label("p9loop 0 6115 ID<303377>"). [assumption]. 6389 R(x,T(y,z) * u,w) = R(x,y * u,w) # label("p9loop 0 6116 ID<303674>"). [assumption]. 6390 R(x,T(y,z) \ u,w) = R(x,y \ u,w) # label("p9loop 0 6117 ID<304831>"). [assumption]. 6391 R(x,y,z \ K(u,w)) = R(x,y,z \ 1) # label("p9loop 0 6118 ID<304913>"). [assumption]. 6398 a(x,(y * z) \ y,u) = a(x,y \ (z \ y),u) # label("p9loop 0 6125 ID<3697492>"). [assumption]. 6400 L(x \ R(x,y,z),x * u,x * u) = u * (((u \ 1) / x) * R(x,y,z)) # label("p9loop 0 6127 ID<3701083>"). [assumption]. 6401 L(x,(y * z) \ z,u) = L(x,z \ (y \ z),u) # label("p9loop 0 6128 ID<3674901>"). [assumption]. 6402 L(x,(y * z) \ y,u) = L(x,y \ (z \ y),u) # label("p9loop 0 6129 ID<3704111>"). [assumption]. 6403 x * (((x \ 1) / y) * R(y,z,u)) = (x \ y) \ (x \ R(y,z,u)) # label("p9loop 0 6130 ID<3702751>"). [assumption]. 6408 (x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R(y,z,u)) # label("p9loop 0 6135 ID<3679701>"). [assumption]. 6412 a(x,y,z * (((u * w) \ w) * v5)) = a(x,y,z * ((w \ (u \ w)) * v5)) # label("p9loop 0 6139 ID<3674899>"). [assumption]. 6413 R(x,y,(z * u) \ z) = R(x,y,z \ (u \ z)) # label("p9loop 0 6140 ID<3695927>"). [assumption]. 6415 a(x,y,((z * u) \ z) * w) = a(x,y,(z \ (u \ z)) * w) # label("p9loop 0 6142 ID<3714034>"). [assumption]. 6416 a(x,y,(((z * u) \ z) * w) * v5) = a(x,y,((z \ (u \ z)) * w) * v5) # label("p9loop 0 6143 ID<3714451>"). [assumption]. 6417 a(x,y,(z * u) \ u) = a(x,y,u \ (z \ u)) # label("p9loop 0 6144 ID<3674890>"). [assumption]. 6422 (x * y) / (x \ (x / y)) = (x * y) * y # label("p9loop 0 6149 ID<3680509>"). [assumption]. 6424 (x * L(y,z,u)) \ (x * y) = x \ (y * (L(y,z,u) \ x)) # label("p9loop 0 6151 ID<3720674>"). [assumption]. 6425 (L(x,y,z) * u) \ (x * u) = u \ (x * (L(x,y,z) \ u)) # label("p9loop 0 6152 ID<3720537>"). [assumption]. 6427 x * (L(x,y,z) \ (z * y)) = z * (a(z,y,x) * y) # label("p9loop 0 6154 ID<3721233>"). [assumption]. 6435 L(x,y * (K(z,u) * w),v5) = L(x,y * w,v5) # label("p9loop 0 6162 ID<70220>"). [assumption]. 6436 L(x,y,((z \ u) * z) * w) = L(x,y,w * u) # label("p9loop 0 6163 ID<534749>"). [assumption]. 6437 L(x,y,(T(z,u) \ w) * v5) = L(x,y,(z \ w) * v5) # label("p9loop 0 6164 ID<72827>"). [assumption]. 6438 L(x,y,(z * u) * w) = L(x,y,w * (u * z)) # label("p9loop 0 6165 ID<534696>"). [assumption]. 6450 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z) # label("p9loop 0 6177 ID<1058531>"). [assumption]. 6451 x * (x * R(y,z,u)) = R(x * (x * y),z,u) # label("p9loop 0 6178 ID<2150713>"). [assumption]. 6457 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)) # label("p9loop 0 6184 ID<3749877>"). [assumption]. 6460 R(x \ L(x,y,z),u,w) = L(x \ L(x,y,z),u,w) # label("p9loop 0 6187 ID<3753293>"). [assumption]. 6461 x * (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(x,y,z) * L(L(x,y,z) \ x,u,w) # label("p9loop 0 6188 ID<3753694>"). [assumption]. 6473 (x * (a(x,y,z) \ y)) * z = x * (y * z) # label("p9loop 0 6200 ID<3760448>"). [assumption]. 6474 a(x,(y * (z * (u / w))) \ v5,v6) = a(x,(y * (z * (w \ u))) \ v5,v6) # label("p9loop 0 6201 ID<3762535>"). [assumption]. 6477 L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = L(y,a(z,u,w),x) # label("p9loop 0 6204 ID<3762428>"). [assumption]. 6480 L(x,L(a(y,z,u) \ z,y,u),w) = L(x,L(z,u,y),w) # label("p9loop 0 6207 ID<3763068>"). [assumption]. 6483 (a(x \ (y \ x),x * y,z) \ x) * z = (x / (x * y)) * ((x * y) * z) # label("p9loop 0 6210 ID<3768421>"). [assumption]. 6490 ((x * (y / x)) * (a(y,z,u) \ z)) * u = (x * (y / x)) * (z * u) # label("p9loop 0 6217 ID<3777920>"). [assumption]. 6491 (x * (y * z)) / z = x * (a(x,y,z) \ y) # label("p9loop 0 6218 ID<3761458>"). [assumption]. 6494 a(x,y,a(z,u,x)) = 1 # label("p9loop 0 6221 ID<3759246>"). [assumption]. 6496 L(x,y,a(z,u,x)) = x # label("p9loop 0 6223 ID<3786480>"). [assumption]. 6497 L(x,y,a(z,u,L(x,w,v5))) = x # label("p9loop 0 6224 ID<3788227>"). [assumption]. 6498 L(1 / x,y,a(z,u,x)) = 1 / x # label("p9loop 0 6225 ID<3787610>"). [assumption]. 6499 L(x \ 1,y,a(z,u,x)) = x \ 1 # label("p9loop 0 6226 ID<3789003>"). [assumption]. 6502 x / T(y \ 1,x * y) = (y \ 1) \ x # label("p9loop 0 6229 ID<331399>"). [assumption]. 6503 L(x,y \ T(z,u),w) = L(x,y \ z,w) # label("p9loop 0 6230 ID<347821>"). [assumption]. 6504 T(x,y) / T(x,z) = K(x,y) * K(z,x) # label("p9loop 0 6231 ID<348066>"). [assumption]. 6509 T(a(x,y,z) \ u,u) = a(x,y,z) \ u # label("p9loop 0 6236 ID<367667>"). [assumption]. 6516 (x \ ((x * y) * z)) / z = a(x,y,z) * y # label("p9loop 0 6243 ID<3761506>"). [assumption]. 6526 L(x,y,z \ (u \ (w \ ((w * (z \ 1)) * u)))) = L(x,y,a(w,z \ 1,u)) # label("p9loop 0 6253 ID<3815269>"). [assumption]. 6537 L(L(x,y,z),u,a(w,v5,x)) = L(x,y,z) # label("p9loop 0 6264 ID<3790048>"). [assumption]. 6542 a(x,a(y,z,u),u) = a(x,u,a(y,z,u)) # label("p9loop 0 6269 ID<3834856>"). [assumption]. 6547 (x * a(y,z,u)) * u = (x * u) * a(y,z,u) # label("p9loop 0 6274 ID<3759271>"). [assumption]. 6552 a((x * (y * (z \ 1))) \ u,w,v5) = a(((y * z) * x) \ u,w,v5) # label("p9loop 0 6279 ID<3774011>"). [assumption]. 6554 L(x,a(y,z,u),u) = L(x,u,a(y,z,u)) # label("p9loop 0 6281 ID<3786487>"). [assumption]. 6555 L(x,y * (z * (u / w)),v5) = L(x,y * (z * (w \ u)),v5) # label("p9loop 0 6282 ID<3762518>"). [assumption]. 6557 (a(x,x \ y,z) \ y) * z = x * ((x \ y) * z) # label("p9loop 0 6284 ID<3760451>"). [assumption]. 6561 x * (y * (a(y,z,x) \ z)) = L(x,z,y) * (y * z) # label("p9loop 0 6288 ID<3760190>"). [assumption]. 6563 a(x,y,z) \ (z * u) = z * (a(x,y,z) \ u) # label("p9loop 0 6290 ID<3759267>"). [assumption]. 6566 x \ (a(y,z,x) * u) = (x \ u) * a(y,z,x) # label("p9loop 0 6293 ID<3759341>"). [assumption]. 6569 a(x,y,z) \ (z \ u) = z \ (a(x,y,z) \ u) # label("p9loop 0 6296 ID<3855042>"). [assumption]. 6570 a(x,y,z) * (z * u) = z * (u * a(x,y,z)) # label("p9loop 0 6297 ID<3759276>"). [assumption]. 6573 a(x,y,z) * (z \ 1) = z \ a(x,y,z) # label("p9loop 0 6300 ID<3759280>"). [assumption]. 6576 x \ (y * a(z,u,x)) = (x \ y) * a(z,u,x) # label("p9loop 0 6303 ID<3786441>"). [assumption]. 6578 (1 / x) \ a(y,z,x) = x * a(y,z,x) # label("p9loop 0 6305 ID<3759270>"). [assumption]. 6580 (x \ 1) * a(y,z,x) = x \ a(y,z,x) # label("p9loop 0 6307 ID<3759281>"). [assumption]. 6581 (x * y) * a(z,u,x) = x * (y * a(z,u,x)) # label("p9loop 0 6308 ID<3759255>"). [assumption]. 6590 (a(x,y,z) / z) \ 1 = a(x,y,z) \ z # label("p9loop 0 6317 ID<3868416>"). [assumption]. 6592 L(a(x,y,z),z,u * z) = L(a(x,y,z),z,u) # label("p9loop 0 6319 ID<3868225>"). [assumption]. 6593 (L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,w) \ v5) = (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ v5) # label("p9loop 0 6320 ID<3754038>"). [assumption]. 6595 (x * (y * z)) \ ((x * y) * (z * L(z \ L(z,y,x),u,w))) = a(x,y,z) \ L(a(x,y,z),u,w) # label("p9loop 0 6322 ID<3753850>"). [assumption]. 6596 ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y) # label("p9loop 0 6323 ID<3846729>"). [assumption]. 6597 (x / (y \ z)) \ ((x / z) * y) = a(z \ x,y,y \ z) # label("p9loop 0 6324 ID<3870919>"). [assumption]. 6599 (1 / x) \ (y \ L(y,z,u)) = (y / x) \ L(y,z,u) # label("p9loop 0 6326 ID<3873602>"). [assumption]. 6601 x * (a(x,y,y \ 1) \ y) = x / (y \ 1) # label("p9loop 0 6328 ID<3781047>"). [assumption]. 6602 (x / (y \ 1)) \ (x * y) = a(x,y,y \ 1) # label("p9loop 0 6329 ID<3846733>"). [assumption]. 6604 (((x / y) * (y * z)) / z) \ x = a(y \ x,y,z) # label("p9loop 0 6331 ID<3783177>"). [assumption]. 6610 (x / y) * (y * (L(y,z,u) \ y)) = x * L(L(y,z,u) \ y,y,x) # label("p9loop 0 6337 ID<3867998>"). [assumption]. 6623 x * ((y * (x \ y)) / y) = T(y,x \ y) # label("p9loop 0 6350 ID<390646>"). [assumption]. 6626 K((x \ y) * y,z) = K(y * (y / x),z) # label("p9loop 0 6353 ID<400561>"). [assumption]. 6627 T(x,y) * (T(y,x) / z) = x * (y / z) # label("p9loop 0 6354 ID<409876>"). [assumption]. 6629 T(x,y) \ (z * x) = T(K(y,x) * z,x) # label("p9loop 0 6356 ID<410314>"). [assumption]. 6630 T(x,y) \ (T(x,y) / z) = x \ (x / z) # label("p9loop 0 6357 ID<411912>"). [assumption]. 6631 (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y) # label("p9loop 0 6358 ID<412849>"). [assumption]. 6632 T(x,y) * (y \ z) = x * (T(y,x) \ z) # label("p9loop 0 6359 ID<413051>"). [assumption]. 6633 T(x / y,T(y,z)) = T(y \ x,K(y,z)) # label("p9loop 0 6360 ID<413220>"). [assumption]. 6634 (x \ y) \ (L(x,z,u) \ y) = y \ (x * (L(x,z,u) \ y)) # label("p9loop 0 6361 ID<3886575>"). [assumption]. 6637 R(x \ y,y,x \ y) = y \ ((x / y) \ y) # label("p9loop 0 6364 ID<3898743>"). [assumption]. 6646 R(x,x \ y,y \ x) = y * ((x \ y) \ 1) # label("p9loop 0 6373 ID<3931871>"). [assumption]. 6648 L(x * a(y,z,x),z,y) = L(x,x,a(z,z,y)) # label("p9loop 0 6375 ID<3931197>"). [assumption]. 6651 ((x \ y) * (y \ x)) \ y = x * (1 / (y \ x)) # label("p9loop 0 6378 ID<3931425>"). [assumption]. 6653 L(x,a(y,y,z),L(z,y,y)) = L(x,z,a(y,y,z)) # label("p9loop 0 6380 ID<3920807>"). [assumption]. 6673 (x \ 1) * a(y,z,x \ 1) = x \ a(y,z,x \ 1) # label("p9loop 0 6400 ID<3840980>"). [assumption]. 6676 (L(x,y,z) \ u) \ (x \ u) = u \ (L(x,y,z) * (x \ u)) # label("p9loop 0 6403 ID<3956547>"). [assumption]. 6687 a(x \ R(y,z,u),w,v5) = a(x \ L(y,z,u),w,v5) # label("p9loop 0 6414 ID<1396308>"). [assumption]. 6688 a(x,y \ R(z,u,w),v5) = a(x,y \ L(z,u,w),v5) # label("p9loop 0 6416 ID<3260486>"). [assumption]. 6690 a(x,y,L(z \ u,z,w)) = a(x,y,(z * w) \ (u * w)) # label("p9loop 0 6418 ID<956360>"). [assumption]. 6692 a(x,y,a(z,z \ 1,u)) = a(x,y,a(z,z,u)) # label("p9loop 0 6420 ID<2179834>"). [assumption]. 6693 a(x,y,z \ ((u / w) \ v5)) = a(x,y,z \ ((w \ u) \ v5)) # label("p9loop 0 6421 ID<205924>"). [assumption]. 6698 a(x,y,z) \ (u * L(z,w,v5)) = (a(x,y,z) \ u) * L(z,w,v5) # label("p9loop 0 6426 ID<3831564>"). [assumption]. 6701 x * (y * (K(x,y) * z)) = T(x,y) * (y * z) # label("p9loop 0 6429 ID<1031128>"). [assumption]. 6702 x / L(y \ z,y,z \ x) = (x / z) * y # label("p9loop 0 6430 ID<74536>"). [assumption]. 6703 L(x \ y,x,y \ z) \ z = T((z / y) * x,x \ y) # label("p9loop 0 6431 ID<3975690>"). [assumption]. 6704 x \ (((x / y) * z) * (z \ y)) = a(y \ x,z,z \ y) # label("p9loop 0 6432 ID<3246759>"). [assumption]. 6706 ((1 / x) * y) \ (x \ y) = ((x \ y) / y) * x # label("p9loop 0 6434 ID<2198675>"). [assumption]. 6708 L(a(x,y,z) * (u \ 1),u,u) = a(x,y,z) / u # label("p9loop 0 6436 ID<2795464>"). [assumption]. 6709 (L(x,y,z) * u) * x = (x * u) * L(x,y,z) # label("p9loop 0 6437 ID<627207>"). [assumption]. 6710 (L(x,y,z) * u) / L(x,y,z) = (x * u) / x # label("p9loop 0 6438 ID<20983>"). [assumption]. 6715 (T(x,y) * z) \ T(x,y) = (x * z) \ x # label("p9loop 0 6443 ID<1550827>"). [assumption]. 6717 (a(x,y,z) * u) \ (w \ ((a(x,y,z) * w) * u)) = a(w,a(x,y,z),u) # label("p9loop 0 6445 ID<2135177>"). [assumption]. 6721 (a(x,y,z) \ u) / u = u \ (a(x,y,z) \ u) # label("p9loop 0 6449 ID<1529283>"). [assumption]. 6722 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5) # label("p9loop 0 6450 ID<71259>"). [assumption]. 6724 (x * (y * (z * K(u,w)))) * v5 = (x * (y * z)) * (K(u,w) * v5) # label("p9loop 0 6452 ID<58225>"). [assumption]. 6725 (x * L(T(y,z),u,w)) * T(z,y) = (x * L(y,u,w)) * z # label("p9loop 0 6453 ID<539704>"). [assumption]. 6726 (x * y) * (T(x,y) \ z) = (y * x) * (x \ z) # label("p9loop 0 6454 ID<563378>"). [assumption]. 6728 (x * y) / T(z,x * (z \ y)) = z \ (x * y) # label("p9loop 0 6456 ID<610920>"). [assumption]. 6731 (x / y) / T(1 / y,x) = (1 / y) \ (x / y) # label("p9loop 0 6459 ID<1152129>"). [assumption]. 6738 T(x,K(y,z)) / y = T(x / y,K(y,z)) # label("p9loop 0 6466 ID<413235>"). [assumption]. 6740 K(x,y / (y * z)) = K(x,y \ (z \ y)) # label("p9loop 0 6468 ID<447534>"). [assumption]. 6741 T(1 / x,y * x) = ((1 / x) \ y) \ y # label("p9loop 0 6469 ID<452700>"). [assumption]. 6743 T(x,x \ T(y,z)) = T(x,T(x \ y,z)) # label("p9loop 0 6471 ID<455135>"). [assumption]. 6744 T(x * K(y,x),T(y,z)) = T(x,K(y,z)) # label("p9loop 0 6472 ID<455788>"). [assumption]. 6746 T(x,y) \ (T(y,x) \ z) = x \ (y \ z) # label("p9loop 0 6474 ID<457928>"). [assumption]. 6747 (T(x,y) \ z) \ K(y,x) = (x \ z) \ 1 # label("p9loop 0 6475 ID<458207>"). [assumption]. 6748 a(x,y * T(z,u),w) = a(x,y * z,w) # label("p9loop 0 6476 ID<458921>"). [assumption]. 6750 (x \ 1) * a(y,z,y) = x \ a(y,z,y) # label("p9loop 0 6478 ID<473875>"). [assumption]. 6757 (x \ L(x,y,z)) \ z = x * (L(x,y,z) \ z) # label("p9loop 0 6485 ID<3357269>"). [assumption]. 6758 (x \ y) * (y \ (x * (L(x,z,u) \ y))) = L(x,z,u) \ y # label("p9loop 0 6486 ID<3886423>"). [assumption]. 6760 K(x,T((y * z) * u,w)) = K(x,T(y * (z * u),w)) # label("p9loop 0 6488 ID<2322500>"). [assumption]. 6766 L(T(x,y),z,u) * x = x * L(T(x,y),z,u) # label("p9loop 0 6494 ID<19300>"). [assumption]. 6777 L(x,y,((z * z) \ u) * w) = L(x,y,u * w) # label("p9loop 0 6505 ID<536397>"). [assumption]. 6783 L(x * ((x \ y) * z),a(x,x \ y,z),u) \ ((y * z) * u) = a(x,x \ y,z) * u # label("p9loop 0 6511 ID<3276262>"). [assumption]. 6785 R(x,y,z) / (u * u) = R(x / (u * u),y,z) # label("p9loop 0 6513 ID<1737311>"). [assumption]. 6796 R(T(x,y),z,u) \ ((x * z) * u) = K(y,x) * (z * u) # label("p9loop 0 6524 ID<878925>"). [assumption]. 6799 T(x,y * ((y \ z) * u)) = T(x,z * u) # label("p9loop 0 6527 ID<2500763>"). [assumption]. 6804 a((x \ (y \ x)) * y,z,u) = a(a(y,y,x),z,u) # label("p9loop 0 6532 ID<2683053>"). [assumption]. 6809 a(x * ((R(y,z,u) * w) * v5),v6,v7) = a(x * ((L(y,z,u) * w) * v5),v6,v7) # label("p9loop 0 6537 ID<2116618>"). [assumption]. 6811 a(x \ (y \ ((y * z) * x)),u,w) = a(a(y,z,x) * z,u,w) # label("p9loop 0 6539 ID<3807585>"). [assumption]. 6820 a(x,y,a(z,u,w)) \ y = a(a(z,u,w),y,x) * y # label("p9loop 0 6548 ID<3810041>"). [assumption]. 6831 x \ (L(x,y,z) * u) = (u / x) * L(x,y,z) # label("p9loop 0 6559 ID<642690>"). [assumption]. 6839 ((x \ y) \ y) \ (x * z) = K(x \ y,x) * z # label("p9loop 0 6567 ID<493750>"). [assumption]. 6840 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z # label("p9loop 0 6568 ID<514148>"). [assumption]. 6843 (R(x,y,z) \ x) * u = u * (R(x,y,z) \ x) # label("p9loop 0 6571 ID<1529116>"). [assumption]. 6848 (a(x,y,z) * u) \ u = u \ (a(x,y,z) \ u) # label("p9loop 0 6577 ID<2646946>"). [assumption]. 6849 (a(x,y,z) \ (u / w)) * w = w * (a(x,y,z) \ (w \ u)) # label("p9loop 0 6578 ID<2953319>"). [assumption]. 6855 x * (a(x,y,x) * z) = R(x,y,x) * z # label("p9loop 0 6584 ID<491921>"). [assumption]. 6859 x * (y * a(x,z,x)) = R(x,z,x) * y # label("p9loop 0 6588 ID<506905>"). [assumption]. 6861 (x / (y * z)) * (z * y) = x * K(z,y) # label("p9loop 0 6590 ID<512850>"). [assumption]. 6862 K(x * (y / z),z) = K(x * (z \ y),z) # label("p9loop 0 6591 ID<523437>"). [assumption]. 6863 (x * (y * z)) \ (x * (z * y)) = K(z,y) # label("p9loop 0 6592 ID<533283>"). [assumption]. 6865 ((x \ y) * x) \ x = y \ T(x,x \ y) # label("p9loop 0 6594 ID<558998>"). [assumption]. 6866 ((x \ y) * x) \ 1 = y \ K(x,x \ y) # label("p9loop 0 6595 ID<559000>"). [assumption]. 6867 ((x \ y) * x) * x = y * (y / (y / x)) # label("p9loop 0 6596 ID<563384>"). [assumption]. 6868 x * (R(x,y,x) \ z) = a(x,y,x) \ z # label("p9loop 0 6597 ID<564844>"). [assumption]. 6879 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y) # label("p9loop 0 6608 ID<2927602>"). [assumption]. 6880 (x * ((y * x) \ y)) * z = a(y,x,x \ 1) \ z # label("p9loop 0 6609 ID<3921196>"). [assumption]. 6882 (x * ((y * x) \ y)) / x = L(1 / x,x,y) # label("p9loop 0 6611 ID<718627>"). [assumption]. 6883 (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) \ x = L(x \ L(x,y,z),u,w) \ L(x,y,z) # label("p9loop 0 6612 ID<3759049>"). [assumption]. 6884 (x * (L(x,y,z) \ u)) / x = u / L(x,y,z) # label("p9loop 0 6613 ID<5478>"). [assumption]. 6887 a(x * ((y * z) \ y),u,w) = a(x * (y \ (z \ y)),u,w) # label("p9loop 0 6616 ID<4143418>"). [assumption]. 6888 a((x \ ((y * z) \ y)) * u,w,v5) = a((x \ (y \ (z \ y))) * u,w,v5) # label("p9loop 0 6617 ID<4143983>"). [assumption]. 6890 (x * (a(y,z,u) \ w)) / w = w \ ((a(y,z,u) \ w) * x) # label("p9loop 0 6619 ID<3424448>"). [assumption]. 6892 (x * L(x \ y,z,u)) \ y = x \ (L(y / x,z,u) \ y) # label("p9loop 0 6621 ID<3721983>"). [assumption]. 6894 (x / (y \ (z \ x))) \ (z * y) = a(z,y,y \ (z \ x)) # label("p9loop 0 6623 ID<3846725>"). [assumption]. 6898 (x \ 1) * (x * (y * (x \ 1))) = L(y,x \ 1,x) * (x \ 1) # label("p9loop 0 6627 ID<3043585>"). [assumption]. 6904 L((x \ 1) \ y,x \ 1,z * x) = R(z,x,x \ 1) \ ((z * x) * y) # label("p9loop 0 6633 ID<1818486>"). [assumption]. 6905 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y # label("p9loop 0 6634 ID<1818140>"). [assumption]. 6908 L(x \ L(y \ z,y,u),x,u * y) = ((u * y) * x) \ (u * z) # label("p9loop 0 6637 ID<1303583>"). [assumption]. 6909 L(x,(y / z) * u,w) = L(x,(z \ y) * u,w) # label("p9loop 0 6638 ID<309859>"). [assumption]. 6910 L(x,L(y,z,y) \ u,w) = L(x,y \ u,w) # label("p9loop 0 6639 ID<556607>"). [assumption]. 6913 L(x,y,((z / u) \ w) * v5) = L(x,y,((u \ z) \ w) * v5) # label("p9loop 0 6642 ID<3331333>"). [assumption]. 6917 L(x,y,R(z,u,w) * v5) = L(x,y,L(z,u,w) * v5) # label("p9loop 0 6646 ID<551057>"). [assumption]. 6919 L(x,y,a(z,u \ 1,w)) = L(x,y,a(z,u,w)) # label("p9loop 0 6648 ID<4175201>"). [assumption]. 6923 L(x,y,z) \ L(x * L(x \ 1,u,w),y,z) = L(L(x,y,z) \ 1,u,w) # label("p9loop 0 6652 ID<2728111>"). [assumption]. 6929 R(x,y * L(z,u,z),w) = R(x,y * z,w) # label("p9loop 0 6658 ID<959367>"). [assumption]. 6930 T((x / y) * z,z \ y) = (((x / y) * z) \ x) \ x # label("p9loop 0 6659 ID<74772>"). [assumption]. 6942 T(x,y) \ ((z / T(x,y)) \ u) = x \ ((z / x) \ u) # label("p9loop 0 6671 ID<1019968>"). [assumption]. 6944 a(((x * y) \ z) * u,w,v5) = a(u * ((y * x) \ z),w,v5) # label("p9loop 0 6673 ID<510084>"). [assumption]. 6952 a(x,y,z) \ (u * ((a(x,y,z) \ u) \ 1)) = (a(x,y,z) \ u) * (u \ a(x,y,z)) # label("p9loop 0 6681 ID<3404857>"). [assumption]. 6955 a(x,y,z * u) != w | a(x,y,u * z) = w # label("p9loop 0 6684 ID<4198372>"). [assumption]. 6956 a(x,y,z * (u * w)) != v5 | a(x,y,(w * u) * z) = v5 # label("p9loop 0 6685 ID<4198531>"). [assumption]. 6966 a(x,y,(z * u) * w) != v5 | a(x,y,w * (u * z)) = v5 # label("p9loop 0 6695 ID<4198532>"). [assumption]. 6970 a(x \ ((y / z) \ u),w,v5) = a(x \ ((z \ y) \ u),w,v5) # label("p9loop 0 6699 ID<1272790>"). [assumption]. 6971 a(x \ y,x,a(z,u,x)) = a(y,x,a(z,u,x)) # label("p9loop 0 6700 ID<3869977>"). [assumption]. 6972 T(x \ (x / y),y \ 1) = x \ (x / y) # label("p9loop 0 6701 ID<589477>"). [assumption]. 6973 T(x \ (x / y),K(y,z)) = x \ (x / y) # label("p9loop 0 6702 ID<590263>"). [assumption]. 6974 T(x * y,x \ 1) = ((x * y) \ y) \ y # label("p9loop 0 6703 ID<591228>"). [assumption]. 6975 T(x,y \ (z / x)) = T(x,y \ (x \ z)) # label("p9loop 0 6704 ID<595819>"). [assumption]. 6981 T(T(x,y) / (x / y),x) = x / (x / y) # label("p9loop 0 6710 ID<636556>"). [assumption]. 6982 T(x * x,K(y,z) * u) = T(x * x,u) # label("p9loop 0 6711 ID<638126>"). [assumption]. 6985 T(K(x,y) * T(y,z),x) = T(y,T(z,x)) # label("p9loop 0 6714 ID<713801>"). [assumption]. 6987 T(x \ y,x / y) = T(x \ y,y \ x) # label("p9loop 0 6716 ID<747948>"). [assumption]. 6989 (x / T(y,z)) / T(z,y) = (x / y) / z # label("p9loop 0 6718 ID<754919>"). [assumption]. 6991 x / (y \ R(x,z,x)) = a(x,z,x) \ y # label("p9loop 0 6720 ID<760198>"). [assumption]. 6994 a(x,((y \ z) \ z) \ u,w) = a(x,y \ u,w) # label("p9loop 0 6723 ID<78957>"). [assumption]. 6995 a(x,(y * z) \ u,w) = a(x,(z * y) \ u,w) # label("p9loop 0 6724 ID<78778>"). [assumption]. 7001 a(x,y,((z / u) \ w) \ v5) = a(x,y,((u \ z) \ w) \ v5) # label("p9loop 0 6730 ID<1030471>"). [assumption]. 7002 a(x,y,z \ ((u * w) * v5)) = a(x,y,z \ (v5 * (w * u))) # label("p9loop 0 6731 ID<1354885>"). [assumption]. 7003 a(x,y,(z \ 1) * L(z,u,w)) = a(x,y,z \ L(z,u,w)) # label("p9loop 0 6732 ID<1534906>"). [assumption]. 7008 a(x,y,z * ((u * w) \ ((w * v5) * u))) = a(x,y,z * L(v5,w,u)) # label("p9loop 0 6737 ID<343344>"). [assumption]. 7016 x / L(R(y,z,u) \ y,w,v5) = L(R(y,z,u) \ y,w,v5) \ x # label("p9loop 0 6745 ID<1555717>"). [assumption]. 7017 x / L(a(y,z,u) \ 1,w,v5) = L(a(y,z,u) \ 1,w,v5) \ x # label("p9loop 0 6746 ID<1529410>"). [assumption]. 7027 a(x,x,y * a(z,u,x)) = a(x,x,y) # label("p9loop 0 6756 ID<4248602>"). [assumption]. 7028 ((x * y) * z) * a(L(x,y,z),y,z) = (R(x,y,z) * y) * z # label("p9loop 0 6757 ID<3625616>"). [assumption]. 7029 ((x * y) \ x) \ (y \ 1) = a(x,y,y \ 1) # label("p9loop 0 6758 ID<3359073>"). [assumption]. 7033 x \ ((y / (x * y)) \ 1) = a(x,x,y) \ 1 # label("p9loop 0 6762 ID<2689456>"). [assumption]. 7037 (1 / x) \ (y * a(x,z,u)) = ((1 / x) \ y) * a(x,z,u) # label("p9loop 0 6766 ID<2078465>"). [assumption]. 7040 (x \ R(x,y,z)) \ (1 / x) = 1 / R(x,y,z) # label("p9loop 0 6769 ID<2174014>"). [assumption]. 7042 (a(x,y,z) * u) * u = u * (a(x,y,z) * u) # label("p9loop 0 6771 ID<369327>"). [assumption]. 7046 (x * (y * a(z,u,z))) * w = (x * y) * (a(z,u,z) * w) # label("p9loop 0 6775 ID<472103>"). [assumption]. 7054 (x / (a(y,z,u) \ w)) * w = w * ((a(y,z,u) \ w) \ x) # label("p9loop 0 6783 ID<2663330>"). [assumption]. 7056 (x / (y \ 1)) \ L(x,z,u) = y \ (x \ L(x,z,u)) # label("p9loop 0 6785 ID<3875110>"). [assumption]. 7058 (x / y) * K(y \ 1,z) = x * T(x \ (x / y),z) # label("p9loop 0 6787 ID<19158>"). [assumption]. 7064 (x \ T(y,z)) * (K(z,y) * u) = (x \ y) * u # label("p9loop 0 6793 ID<386695>"). [assumption]. 7066 x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y) # label("p9loop 0 6795 ID<4287293>"). [assumption]. 7068 (x \ y) * (y \ (x * (z * (x \ y)))) = L(z,x \ y,x) * (x \ y) # label("p9loop 0 6797 ID<2967085>"). [assumption]. 7070 K(x / (y / z),u) = K(x * (z / y),u) # label("p9loop 0 6799 ID<2360030>"). [assumption]. 7075 K(x \ y,x) * (L(x \ y,z,u) \ w) = L(y / x,z,u) \ w # label("p9loop 0 6804 ID<77407>"). [assumption]. 7088 L(a(x,y,z) \ u,a(x,y,z),x * (y * z)) = ((x * y) * z) \ ((x * (y * z)) * u) # label("p9loop 0 6817 ID<1078461>"). [assumption]. 7090 L(x \ L(x,y,z),u,w) * (L(x,y,z) \ x) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)) # label("p9loop 0 6819 ID<2152840>"). [assumption]. 7091 L(x,a(y,y,z),z * y) = L(x,z * y,a(y,y,z)) # label("p9loop 0 6820 ID<3844316>"). [assumption]. 7093 T(x / y,x) = ((y / x) * y) \ y # label("p9loop 0 6822 ID<4322302>"). [assumption]. 7094 T(x,y) / (z * T(x,y)) = x / (z * x) # label("p9loop 0 6823 ID<773963>"). [assumption]. 7096 ((x * y) \ y) * T(x * y,x \ 1) = y # label("p9loop 0 6825 ID<777102>"). [assumption]. 7097 x \ (T(x,y \ 1) / y) = (x / y) / x # label("p9loop 0 6826 ID<813386>"). [assumption]. 7098 x * (((y * x) / y) \ z) = K(x,y) * z # label("p9loop 0 6827 ID<822730>"). [assumption]. 7106 a((x \ 1) * y,z,u) = a(y * x,z,u) # label("p9loop 0 6835 ID<918285>"). [assumption]. 7107 L(x,y,z * (u \ 1)) = L(x,y,u * z) # label("p9loop 0 6836 ID<918990>"). [assumption]. 7108 L(x,y \ (z \ y),x) = L(x,z \ 1,x) # label("p9loop 0 6837 ID<958261>"). [assumption]. 7109 ((x \ y) \ y) * x = x * ((x \ y) \ y) # label("p9loop 0 6838 ID<971738>"). [assumption]. 7110 (x / (x \ 1)) * y = x * ((x \ 1) \ y) # label("p9loop 0 6839 ID<987082>"). [assumption]. 7113 a(x,y,a(z,u,z * u)) = a(x,y,a(u,u,z)) # label("p9loop 0 6842 ID<4347125>"). [assumption]. 7114 L(x,y \ 1,a(z,u,w)) = L(x,y,a(z,u,w)) # label("p9loop 0 6843 ID<1730057>"). [assumption]. 7118 L(x,y,z * (u * (w * v5))) = L(x,y,z * (u * (v5 * w))) # label("p9loop 0 6847 ID<532976>"). [assumption]. 7123 R(x,y,L(T(z,u),w,v5)) = R(x,y,L(z,w,v5)) # label("p9loop 0 6852 ID<303384>"). [assumption]. 7124 R(x,y,y \ 1) \ x = y * ((x * y) \ x) # label("p9loop 0 6853 ID<3357337>"). [assumption]. 7131 T(x,(y / z) * u) = T(x,y * (z \ u)) # label("p9loop 0 6860 ID<2498060>"). [assumption]. 7133 T(x,y * (z \ (z / u))) = T(x,y / u) # label("p9loop 0 6862 ID<2498073>"). [assumption]. 7142 a(x * (((y \ z) * y) \ u),w,v5) = a((z \ u) * x,w,v5) # label("p9loop 0 6871 ID<236619>"). [assumption]. 7143 a(x * ((y * z) \ z),u,w) = a(x * (z \ (y \ z)),u,w) # label("p9loop 0 6872 ID<4143477>"). [assumption]. 7144 a(x * (y * (z \ L(z,u,w))),v5,v6) = a(x * (y * (z * L(z,u,w))),v5,v6) # label("p9loop 0 6873 ID<3301004>"). [assumption]. 7145 a(x \ (y / z),u,w) = a(x \ (z \ y),u,w) # label("p9loop 0 6874 ID<65024>"). [assumption]. 7152 a(x,y,z * ((u * w) \ ((u * v5) * w))) = a(x,y,L(v5,u,w) * z) # label("p9loop 0 6881 ID<1527162>"). [assumption]. 7159 a(x,y,z \ (u * L(w,u,u))) = a(x,y,z \ L(u * w,u,u)) # label("p9loop 0 6888 ID<4381406>"). [assumption]. 7161 x * (y * a(x,z,z \ y)) = (x * z) * (z \ y) # label("p9loop 0 6890 ID<2074857>"). [assumption]. 7162 x * K(y,T(z,u * x)) = K(y,T(z,u)) * x # label("p9loop 0 6891 ID<98156>"). [assumption]. 7164 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x # label("p9loop 0 6893 ID<229062>"). [assumption]. 7165 T(x,y) * T(y,T(x,z)) = T(x * y,K(x,z)) # label("p9loop 0 6894 ID<4414>"). [assumption]. 7166 x / (a(y,z,u) \ 1) = (a(y,z,u) \ 1) \ x # label("p9loop 0 6895 ID<1529416>"). [assumption]. 7170 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z) # label("p9loop 0 6899 ID<3108180>"). [assumption]. 7173 x \ ((y \ 1) \ (y \ x)) = a(y,y \ 1,x) # label("p9loop 0 6902 ID<2091959>"). [assumption]. 7178 x \ L(x * (y / x),z,u) = L(y,z,u) / x # label("p9loop 0 6907 ID<549107>"). [assumption]. 7181 (((x \ y) / y) * x) * z = z * (((x \ y) / y) * x) # label("p9loop 0 6910 ID<366169>"). [assumption]. 7183 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z) # label("p9loop 0 6912 ID<3095336>"). [assumption]. 7189 ((x * y) * z) * L(z,y,x) = (x * (y * z)) * z # label("p9loop 0 6918 ID<654799>"). [assumption]. 7190 L(x,y,L(z * u,u,z)) = L(x,y,u \ z) # label("p9loop 0 6919 ID<4418327>"). [assumption]. 7191 L(x,y,L(z * u,z,u)) = L(x,y,z \ u) # label("p9loop 0 6920 ID<4419770>"). [assumption]. 7194 ((x / y) * z) / T(x,y \ z) = x \ ((x / y) * z) # label("p9loop 0 6923 ID<96750>"). [assumption]. 7201 (L(x / y,z,u) \ x) \ y = x \ (y * L(y \ x,z,u)) # label("p9loop 0 6930 ID<3957232>"). [assumption]. 7207 (x * (y * a(z,u,w))) / (x * y) = L(a(z,u,w),y,x) # label("p9loop 0 6936 ID<304976>"). [assumption]. 7214 (x \ T(x * y,z)) \ T(y * x,z) = x # label("p9loop 0 6942 ID<1046912>"). [assumption]. 7216 T(x,(y \ x) * z) = T(x,x * (y \ z)) # label("p9loop 0 6944 ID<1077677>"). [assumption]. 7224 (x \ R(x,y,z)) / R(x,y,z) = 1 / x # label("p9loop 0 6952 ID<1302700>"). [assumption]. 7232 x / (1 / L(x,y,z)) = x * L(x,y,z) # label("p9loop 0 6960 ID<1793676>"). [assumption]. 7234 L(x,y * z,a(z,z,y)) = L(x,z * y,a(y,z,z)) # label("p9loop 0 6962 ID<4473694>"). [assumption]. 7235 (x * y) * ((y * x) / y) = (y * x) * x # label("p9loop 0 6963 ID<4469302>"). [assumption]. 7237 (x * (y * z)) * L(u,L(z,y,x),x * y) = (x * y) * (L(z,y,x) * u) # label("p9loop 0 6965 ID<509452>"). [assumption]. 7242 (x * a(y,z,u)) * L(u,w,v5) = a(y,z,u) * (x * L(u,w,v5)) # label("p9loop 0 6970 ID<3830947>"). [assumption]. 7243 (x * a(y,z,u)) * x = x * (a(y,z,u) * x) # label("p9loop 0 6971 ID<52501>"). [assumption]. 7244 (x * y) / (y * a(z,u,w)) = (a(z,u,w) * y) \ (y * x) # label("p9loop 0 6972 ID<3424466>"). [assumption]. 7245 (x * y) / R(y,z,u) = y * (R(y,z,u) \ x) # label("p9loop 0 6973 ID<2949302>"). [assumption]. 7247 (x * y) \ ((z \ L(z,u,w)) \ (x * (y * (z \ L(z,u,w))))) = a(z * L(z,u,w),y,x) # label("p9loop 0 6975 ID<3324407>"). [assumption]. 7250 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z # label("p9loop 0 6978 ID<1292628>"). [assumption]. 7251 (x / y) * ((z * (x / y)) \ u) = (y \ x) * ((z * (y \ x)) \ u) # label("p9loop 0 6979 ID<1303399>"). [assumption]. 7253 (x / y) * (y * a(z,u,w)) = (y * a(z,u,w)) * (y \ x) # label("p9loop 0 6981 ID<2657902>"). [assumption]. 7258 (x \ (y * a(z,u,w))) * x = a(z,u,w) * ((x \ y) * x) # label("p9loop 0 6986 ID<2493890>"). [assumption]. 7259 (x \ (y / z)) * ((y / z) \ u) = (x \ (z \ y)) * ((z \ y) \ u) # label("p9loop 0 6987 ID<3182741>"). [assumption]. 7261 (x \ (y / z)) * K(u,z) = x \ (y / T(z,u)) # label("p9loop 0 6989 ID<754934>"). [assumption]. 7271 K(x,K(y,z)) * (u \ 1) = u \ K(x,K(y,z)) # label("p9loop 0 6999 ID<116695>"). [assumption]. 7272 L((x * y) / x,z \ x,z) = (z * ((z \ x) * y)) / x # label("p9loop 0 7000 ID<2939691>"). [assumption]. 7277 R(R(x,y,z) \ x,u,w) = L(R(x,y,z) \ x,u,w) # label("p9loop 0 7005 ID<4098895>"). [assumption]. 7288 L(x * K(y,z),u,w) \ v5 = K(z,y) * (L(x,u,w) \ v5) # label("p9loop 0 7016 ID<61989>"). [assumption]. 7290 (R(x,y,z) * u) \ R(x,y,z) = (L(x,y,z) * u) \ L(x,y,z) # label("p9loop 0 7018 ID<4528922>"). [assumption]. 7292 a(x,y,R(z,u,w) \ v5) = a(x,y,L(z,u,w) \ v5) # label("p9loop 0 7020 ID<4532123>"). [assumption]. 7293 a(x,y,(R(z,u,w) \ v5) * v6) = a(x,y,(L(z,u,w) \ v5) * v6) # label("p9loop 0 7021 ID<4533398>"). [assumption]. 7294 a(x,y,z \ (R(u,w,v5) \ v6)) = a(x,y,z \ (L(u,w,v5) \ v6)) # label("p9loop 0 7022 ID<4533938>"). [assumption]. 7296 L(x,((y \ z) * y) * u,w) = L(x,u * z,w) # label("p9loop 0 7024 ID<232271>"). [assumption]. 7297 L(x,(y \ (z / u)) * w,v5) = L(x,(y \ (u \ z)) * w,v5) # label("p9loop 0 7025 ID<3977890>"). [assumption]. 7298 L(x,L(y / z,u,w),v5) = L(x,L(z \ y,u,w),v5) # label("p9loop 0 7026 ID<70481>"). [assumption]. 7300 L(x,L(y,z,y) * u,w) = L(x,u * y,w) # label("p9loop 0 7028 ID<845884>"). [assumption]. 7301 L(x,y \ (K(z,u) * w),v5) = L(x,y \ w,v5) # label("p9loop 0 7029 ID<70500>"). [assumption]. 7302 L(x,y \ ((z * u) * w),v5) = L(x,y \ ((u * z) * w),v5) # label("p9loop 0 7030 ID<4536904>"). [assumption]. 7303 L(x,y \ ((T(z,u) * w) * v5),v6) = L(x,y \ ((z * w) * v5),v6) # label("p9loop 0 7031 ID<4536897>"). [assumption]. 7304 L(x,y \ (z * (T(u,w) * v5)),v6) = L(x,y \ ((u * v5) * z),v6) # label("p9loop 0 7032 ID<4538729>"). [assumption]. 7305 L(x,y \ (z * u),w) = L(x,y \ (u * z),w) # label("p9loop 0 7033 ID<1532878>"). [assumption]. 7306 L(x,(y * z) \ (z * (u * y)),w) = L(x,L(u,y,z),w) # label("p9loop 0 7034 ID<4540431>"). [assumption]. 7307 L(x,(y * z) \ (u \ (y * (z * u))),w) = L(x,a(u,z,y),w) # label("p9loop 0 7035 ID<4541757>"). [assumption]. 7312 L(x,y,L(z * K(u,w),v5,v6)) = L(x,y,L(z,v5,v6)) # label("p9loop 0 7040 ID<70536>"). [assumption]. 7314 L(x,y,z * (u * (w * (v5 / v6)))) = L(x,y,z * (u * (w * (v6 \ v5)))) # label("p9loop 0 7042 ID<3741460>"). [assumption]. 7315 L(x,y,z) * (u / L(x,y,z)) = x * (u / x) # label("p9loop 0 7043 ID<497177>"). [assumption]. 7319 (x * (a(x,y,z) * y)) \ ((x * y) * z) = L(z,y,x) # label("p9loop 0 7047 ID<3728558>"). [assumption]. 7325 R(x,R(y,z,u),w) = R(x,L(y,z,u),w) # label("p9loop 0 7053 ID<4556549>"). [assumption]. 7326 R(x,y,(z * u) \ w) = R(x,y,(u * z) \ w) # label("p9loop 0 7054 ID<513621>"). [assumption]. 7327 R(x,y,(z * u) \ (u * (w * z))) = R(x,y,L(w,z,u)) # label("p9loop 0 7055 ID<4559941>"). [assumption]. 7328 R(x,y,R(z,u,w)) = R(x,y,L(z,u,w)) # label("p9loop 0 7056 ID<4560923>"). [assumption]. 7329 R(x,y,x \ (y \ x)) = R(x,y,y \ 1) # label("p9loop 0 7057 ID<3696192>"). [assumption]. 7332 (x * T(y,z)) * (1 / x) = T((x * y) * (1 / x),z) # label("p9loop 0 7060 ID<1598405>"). [assumption]. 7333 R(x,y,L(z,u * u,w)) = R(x,y,z) # label("p9loop 0 7061 ID<4561671>"). [assumption]. 7341 a(L(x,y,z),u,L(x,w,v5)) = a(x,u,x) # label("p9loop 0 7069 ID<2125056>"). [assumption]. 7350 K(x,y * (z \ (z / u))) = K(x,y / u) # label("p9loop 0 7078 ID<2305355>"). [assumption]. 7351 K(x,(y * z) * u) = K(x,y * (z * u)) # label("p9loop 0 7079 ID<2306214>"). [assumption]. 7352 K((x / y) \ z,u) = K(y * (x \ z),u) # label("p9loop 0 7080 ID<2358366>"). [assumption]. 7354 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x) # label("p9loop 0 7082 ID<166325>"). [assumption]. 7358 T(T(x,x \ y),x \ y) = T(x \ y,x) \ y # label("p9loop 0 7086 ID<4137>"). [assumption]. 7359 T(a(x,y,z) * (u / w),w) = a(x,y,z) * (w \ u) # label("p9loop 0 7087 ID<2638181>"). [assumption]. 7360 T(a(x,y,z) * x,x \ 1) = (x \ 1) \ a(x,y,z) # label("p9loop 0 7088 ID<1741472>"). [assumption]. 7362 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z) # label("p9loop 0 7090 ID<1918>"). [assumption]. 7363 T(x,x \ y) * ((x \ y) * z) = x * ((y / x) * z) # label("p9loop 0 7091 ID<820537>"). [assumption]. 7370 a(x * ((y * z) \ u),w,v5) = a(x * ((z * y) \ u),w,v5) # label("p9loop 0 7098 ID<513187>"). [assumption]. 7371 a(x * (K(y,z) * u),w,v5) = a(u * x,w,v5) # label("p9loop 0 7099 ID<65240>"). [assumption]. 7375 a(x,(y \ (K(z,u) * w)) * v5,v6) = a(x,(y \ w) * v5,v6) # label("p9loop 0 7103 ID<462125>"). [assumption]. 7376 a(x,a(y,z,u),w \ 1) = a(x,a(y,z,u),w) # label("p9loop 0 7104 ID<3410536>"). [assumption]. 7383 a(x,y,z \ (T(u,w) \ v5)) = a(x,y,z \ (u \ v5)) # label("p9loop 0 7111 ID<153024>"). [assumption]. 7384 a(x,y,z \ (u * (w * (u \ z)))) = a(x,y,L(w,u \ z,u)) # label("p9loop 0 7112 ID<2966436>"). [assumption]. 7385 a(x,y,z) * ((a(x,y,z) \ u) * z) = u * z # label("p9loop 0 7113 ID<3786600>"). [assumption]. 7387 a(x,y,z) * (x \ (a(x,y,z) \ u)) = x \ u # label("p9loop 0 7115 ID<2081511>"). [assumption]. 7390 (x * y) \ (z \ ((z * y) * T(x,y))) = a(z,y,x) # label("p9loop 0 7118 ID<2135190>"). [assumption]. 7391 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y) # label("p9loop 0 7119 ID<494256>"). [assumption]. 7398 x \ (R(y,z,z) * (y \ x)) = a(L(y,y,x),z,z) # label("p9loop 0 7126 ID<2072692>"). [assumption]. 7404 a(a(x * y,y,y) * z,u,w) = a(a(y,y,x) * z,u,w) # label("p9loop 0 7132 ID<4629797>"). [assumption]. 7414 L(R(x,y,z) \ x,u,x) = R(x,y,z) \ x # label("p9loop 0 7142 ID<4640261>"). [assumption]. 7415 (a(x,y,z) * u) * T(w,u) = w * (a(x,y,z) * u) # label("p9loop 0 7143 ID<2566878>"). [assumption]. 7422 (x * a(x,y,z)) \ 1 = x \ (a(x,y,z) \ 1) # label("p9loop 0 7150 ID<4107931>"). [assumption]. 7426 (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z # label("p9loop 0 7154 ID<4491392>"). [assumption]. 7427 (x / y) * (L(x / y,z,u) \ w) = (y \ x) * (L(y \ x,z,u) \ w) # label("p9loop 0 7155 ID<417475>"). [assumption]. 7432 (x \ (y * (L(y,z,u) \ x))) * (y \ x) = L(y,z,u) \ x # label("p9loop 0 7160 ID<3887057>"). [assumption]. 7440 K(x,y) * (T(y,x * y) * z) = L(y,x,y) * z # label("p9loop 0 7168 ID<605208>"). [assumption]. 7446 (a(a(x,y,z),u,u) / u) * a(x,y,z) = a(x,y,z) / u # label("p9loop 0 7174 ID<4678805>"). [assumption]. 7449 L(x \ y,x,y * x) = T(y / x,y) # label("p9loop 0 7177 ID<4680146>"). [assumption]. 7450 L(L(x,y,z) \ x,L(x,y,z),u) * u = x * (L(x,y,z) \ u) # label("p9loop 0 7178 ID<3728718>"). [assumption]. 7453 K(x * ((x \ y) * z),u) = K(y * z,u) # label("p9loop 0 7181 ID<2360079>"). [assumption]. 7455 L(R(x,y,z),u,a(x,w,v5)) = R(x,y,z) # label("p9loop 0 7183 ID<2628699>"). [assumption]. 7468 a(x,y,z) * (1 / z) = a(x,y,z) / z # label("p9loop 0 7196 ID<3790026>"). [assumption]. 7469 L(R(x,y,z),u,a(w,v5,x)) = R(x,y,z) # label("p9loop 0 7197 ID<3790047>"). [assumption]. 7477 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z) # label("p9loop 0 7205 ID<166264>"). [assumption]. 7482 L(x \ (a(y,z,y) \ u),x,y) = (y * x) \ (L(y,z,y) * u) # label("p9loop 0 7210 ID<1056489>"). [assumption]. 7487 L(x,(y * z) * u,w) = L(x,u * (z * y),w) # label("p9loop 0 7215 ID<3099759>"). [assumption]. 7488 L(x,(y * z) \ u,w) = L(x,(z * y) \ u,w) # label("p9loop 0 7216 ID<71763>"). [assumption]. 7494 L(x,y * (z \ T(u,w)),v5) = L(x,y * (z \ u),v5) # label("p9loop 0 7222 ID<355307>"). [assumption]. 7497 L(x,y,(z \ (u / w)) * v5) = L(x,y,(z \ (w \ u)) * v5) # label("p9loop 0 7225 ID<1258909>"). [assumption]. 7499 L(x,y,a(z,z,u \ z)) = L(x,y,a(u,z,z)) # label("p9loop 0 7227 ID<2689691>"). [assumption]. 7501 L(x,y,z * (u \ T(w,v5))) = L(x,y,z * (u \ w)) # label("p9loop 0 7229 ID<354216>"). [assumption]. 7508 R(R(x / (y / z),u,w),z \ y,z) = R((x * z) / y,u,w) # label("p9loop 0 7236 ID<4720694>"). [assumption]. 7513 R(x,y,L(T(z,u),w,v5) \ v6) = R(x,y,L(z,w,v5) \ v6) # label("p9loop 0 7241 ID<303068>"). [assumption]. 7514 R(x,y,z \ (K(u,w) * v5)) = R(x,y,z \ v5) # label("p9loop 0 7242 ID<303070>"). [assumption]. 7519 T((x \ (x / y)) \ 1,y \ 1) = T(x \ (x / y),y) \ 1 # label("p9loop 0 7247 ID<1863352>"). [assumption]. 7545 R(x,y,z \ R(u,w,v5)) = R(x,y,z \ L(u,w,v5)) # label("p9loop 0 7273 ID<4759091>"). [assumption]. 7546 R(x,y,R(z,u,w) * v5) = R(x,y,L(z,u,w) * v5) # label("p9loop 0 7274 ID<4759089>"). [assumption]. 7547 R(x,y,z * R(u,w,v5)) = R(x,y,z * L(u,w,v5)) # label("p9loop 0 7275 ID<4759088>"). [assumption]. 7550 a(x * (y * (L(z,z,u) * u)),w,v5) = a(x * (y * (z \ u)),w,v5) # label("p9loop 0 7278 ID<2188132>"). [assumption]. 7552 a(x * (L(y \ 1,z,u) * w),v5,v6) = a((L(y,z,u) * w) * x,v5,v6) # label("p9loop 0 7280 ID<4766785>"). [assumption]. 7553 a(((L(x \ 1,y,z) * u) * w) * v5,v6,v7) = a(((L(x,y,z) * u) * w) * v5,v6,v7) # label("p9loop 0 7281 ID<4766903>"). [assumption]. 7555 a(x * ((y * L(z \ 1,u,w)) * v5),v6,v7) = a(((L(z,u,w) * y) * v5) * x,v6,v7) # label("p9loop 0 7283 ID<4767346>"). [assumption]. 7556 a(x * (y \ (z / u)),w,v5) = a(x * (y \ (u \ z)),w,v5) # label("p9loop 0 7284 ID<65711>"). [assumption]. 7557 a(x \ (T(y,z) \ u),w,v5) = a(x \ (y \ u),w,v5) # label("p9loop 0 7285 ID<153034>"). [assumption]. 7562 a(x,y,((z * u) * (z \ 1)) \ w) = a(x,y,L(u,z,z) \ w) # label("p9loop 0 7290 ID<1315053>"). [assumption]. 7563 a(x,y,(z \ (u / w)) \ v5) = a(x,y,(z \ (w \ u)) \ v5) # label("p9loop 0 7291 ID<3454623>"). [assumption]. 7564 a(x,y,L(K(z,u) * w,v5,v6)) = a(x,y,L(w,v5,v6)) # label("p9loop 0 7292 ID<62929>"). [assumption]. 7566 a(x,y,L(z,z,z * u)) = a(x,y,L(z,z,u)) # label("p9loop 0 7294 ID<2281377>"). [assumption]. 7570 x * L(L(T(y,x),z,u),w,v5) = L(L(y,z,u),w,v5) * x # label("p9loop 0 7298 ID<1568341>"). [assumption]. 7598 L(x,y \ L(y,z,u),y * L(y,z,u)) = L(x,y * L(y,z,u),y * L(y,z,u)) # label("p9loop 0 7326 ID<3464579>"). [assumption]. 7599 (((x * y) \ x) \ 1) \ y = ((x * y) \ x) * y # label("p9loop 0 7327 ID<1761350>"). [assumption]. 7613 ((x / y) * z) \ (x / y) = ((y \ x) * z) \ (y \ x) # label("p9loop 0 7341 ID<1313923>"). [assumption]. 7617 (1 / (1 / x)) \ a(y,z,u) = a(y,z,u) / x # label("p9loop 0 7345 ID<2542570>"). [assumption]. 7626 T(x / R(T(y,y \ 1),z,u),y) = R((y \ 1) \ 1,z,u) \ x # label("p9loop 0 7354 ID<1648216>"). [assumption]. 7627 (T(x,y) \ z) \ (K(y,x) * u) = (x \ z) \ u # label("p9loop 0 7355 ID<412734>"). [assumption]. 7631 (a(x,y,z) \ u) * u = u * (a(x,y,z) \ u) # label("p9loop 0 7359 ID<407385>"). [assumption]. 7632 (x * ((L(y,z,u) \ y) * w)) / (x * w) = L(L(y,z,u) \ y,w,x) # label("p9loop 0 7360 ID<1518301>"). [assumption]. 7644 (x / (x \ y)) * L(x \ y,z,u) = x * (y \ (x * L(x \ y,z,u))) # label("p9loop 0 7372 ID<3304852>"). [assumption]. 7645 (x / y) \ ((y \ x) \ z) = (y \ x) \ ((x / y) \ z) # label("p9loop 0 7373 ID<949471>"). [assumption]. 7654 (x \ y) \ K(y \ x,z) = T((x \ y) \ 1,z) # label("p9loop 0 7382 ID<234937>"). [assumption]. 7658 K(x,y) * (T(x,z) \ 1) = T(x,z) \ K(x,y) # label("p9loop 0 7386 ID<457780>"). [assumption]. 7661 (1 / x) * L(y,x \ 1,x) = L((x \ 1) * y,x,x) # label("p9loop 0 7389 ID<1143893>"). [assumption]. 7667 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w) # label("p9loop 0 7395 ID<1303298>"). [assumption]. 7671 L(T(x,x \ y),z,u) = L((x \ y) \ y,z,u) # label("p9loop 0 7399 ID<54688>"). [assumption]. 7672 L(T(x,y),y,z) * (z * y) = z * (T(x,z * y) * y) # label("p9loop 0 7400 ID<3050293>"). [assumption]. 7673 L(a(x,x,y) * z,y,a(y,x,x)) = y * (L(y,x,x) \ z) # label("p9loop 0 7401 ID<4283971>"). [assumption]. 7675 L(x \ R(x,y,y \ z),x,z) = a(x,y,y \ z) # label("p9loop 0 7403 ID<1065046>"). [assumption]. 7676 L(x,(y * z) * u,w) = L(x,(z * y) * u,w) # label("p9loop 0 7404 ID<515733>"). [assumption]. 7677 L(x,L(T(y,z),u,w) * v5,v6) = L(x,L(y,u,w) * v5,v6) # label("p9loop 0 7405 ID<70108>"). [assumption]. 7678 L(x,a(y,z,u \ 1),w) = L(x,a(y,z,u),w) # label("p9loop 0 7406 ID<3765750>"). [assumption]. 7681 L(x,y * (z * (u \ (w / v5))),v6) = L(x,y * (z * (u \ (v5 \ w))),v6) # label("p9loop 0 7409 ID<4535436>"). [assumption]. 7682 L(x,y \ (T(z,u) * w),v5) = L(x,y \ (z * w),v5) # label("p9loop 0 7410 ID<418167>"). [assumption]. 7684 L(x,y,L(z / u,w,v5)) = L(x,y,L(u \ z,w,v5)) # label("p9loop 0 7412 ID<495917>"). [assumption]. 7685 L(x,y,z \ ((u / w) * v5)) = L(x,y,z \ ((w \ u) * v5)) # label("p9loop 0 7413 ID<1258908>"). [assumption]. 7688 L(x,y,z \ ((u \ w) * u)) = L(x,y,z \ w) # label("p9loop 0 7416 ID<342686>"). [assumption]. 7700 x * L(y \ 1,y,z) = x * ((z * y) \ z) # label("p9loop 0 7428 ID<166364>"). [assumption]. 7707 L(x,x \ 1,y) \ y = T(y * (1 / x),x) # label("p9loop 0 7435 ID<344862>"). [assumption]. 7709 a(x,y,z \ L(u,w,u)) = a(x,y,z \ u) # label("p9loop 0 7437 ID<367700>"). [assumption]. 7710 L(x \ K(y,z),x,z) = (T(z,y) * x) \ z # label("p9loop 0 7438 ID<386878>"). [assumption]. 7723 R(x,(y * z) \ z,u) = R(x,z \ (y \ z),u) # label("p9loop 0 7451 ID<3675009>"). [assumption]. 7724 R(x,L(y * K(z,u),w,v5),v6) = R(x,L(y,w,v5),v6) # label("p9loop 0 7452 ID<302694>"). [assumption]. 7726 R(x,y,(z * u) \ u) = R(x,y,u \ (z \ u)) # label("p9loop 0 7454 ID<3675012>"). [assumption]. 7730 (x * y) * T(z,y * x) = T(z * (x * y),K(x,y)) # label("p9loop 0 7458 ID<11543>"). [assumption]. 7735 T(x / T(y,y \ 1),y) = T(y,y \ 1) \ x # label("p9loop 0 7463 ID<166980>"). [assumption]. 7736 T(x / y,z) \ T((x * u) / (y * u),z) = y \ (x * R(x \ y,y,u)) # label("p9loop 0 7464 ID<3092534>"). [assumption]. 7739 (x * y) \ ((y * y) * x) = x \ ((y * y) * (x / y)) # label("p9loop 0 7467 ID<4934554>"). [assumption]. 7743 a(((x / y) * z) \ u,w,v5) = a(((y \ x) * z) \ u,w,v5) # label("p9loop 0 7471 ID<1313214>"). [assumption]. 7744 a((x * (y \ (y / x))) \ z,u,w) = a(a(x,x,y) * z,u,w) # label("p9loop 0 7472 ID<3940245>"). [assumption]. 7754 a(L(x,x,x * y),z,u) = a(L(x,x,y),z,u) # label("p9loop 0 7482 ID<1304795>"). [assumption]. 7755 a(L(L(x,y,y),L(x,y,y),y),z,u) = a((x \ y) * y,z,u) # label("p9loop 0 7483 ID<4945699>"). [assumption]. 7758 a(x * ((y / z) * u),w,v5) = a(x * ((z \ y) * u),w,v5) # label("p9loop 0 7486 ID<65474>"). [assumption]. 7760 a(x \ (y * L(z,z,y)),u,w) = a(x \ (z \ y),u,w) # label("p9loop 0 7488 ID<2016339>"). [assumption]. 7767 a(x,y,(z * (u / w)) * v5) = a(x,y,(z * (w \ u)) * v5) # label("p9loop 0 7495 ID<63476>"). [assumption]. 7769 a(x,y,L((z \ u) \ u,w,v5)) = a(x,y,L(z,w,v5)) # label("p9loop 0 7497 ID<63054>"). [assumption]. 7774 a(x,y,z \ ((u \ w) * u)) = a(x,y,z \ w) # label("p9loop 0 7502 ID<62732>"). [assumption]. 7775 a(x,y,z \ (u * (w / v5))) = a(x,y,z \ (u * (v5 \ w))) # label("p9loop 0 7503 ID<63707>"). [assumption]. 7776 a(x,y,z) * L(u \ 1,u,a(x,y,z)) = u \ a(x,y,z) # label("p9loop 0 7504 ID<2638925>"). [assumption]. 7779 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y # label("p9loop 0 7507 ID<1918820>"). [assumption]. 7780 x * ((x \ y) * a(z,u,x)) = y * a(z,u,x) # label("p9loop 0 7508 ID<3759275>"). [assumption]. 7781 x * (K(y,z) * K(x,u)) = T(x,u) * K(y,z) # label("p9loop 0 7509 ID<42598>"). [assumption]. 7791 L(x \ R(x,y,z),x,u) \ u = x * (R(x,y,z) \ u) # label("p9loop 0 7519 ID<4966925>"). [assumption]. 7792 x / L(y,y \ (z \ x),z) = z * ((z \ x) / y) # label("p9loop 0 7520 ID<521602>"). [assumption]. 7793 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x # label("p9loop 0 7521 ID<68713>"). [assumption]. 7794 x / T(x * (y \ 1),y) = (x * (y \ 1)) \ x # label("p9loop 0 7522 ID<1517057>"). [assumption]. 7796 x \ (y * a(z,u,z)) = a(z,u,z) * (x \ y) # label("p9loop 0 7524 ID<472923>"). [assumption]. 7800 ((x / y) / z) \ x = (z * y) * a(z \ (y \ x),z,y) # label("p9loop 0 7528 ID<3499392>"). [assumption]. 7805 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x) # label("p9loop 0 7533 ID<3246622>"). [assumption]. 7811 (a(x,y,z) * u) \ a(x,y,z) = a(x,y,z) \ (u \ a(x,y,z)) # label("p9loop 0 7539 ID<2653499>"). [assumption]. 7814 L(x,y \ a(z,u,z),w) = L(x,y \ 1,w) # label("p9loop 0 7542 ID<476905>"). [assumption]. 7815 a(x,x \ y,x) * y = T(x * (y / x),x) # label("p9loop 0 7543 ID<478212>"). [assumption]. 7819 a(x,y,L(z * z,u,w)) = a(x,y,z * z) # label("p9loop 0 7547 ID<542424>"). [assumption]. 7821 L(x,y,L(z,u,z) * w) = L(x,y,z * w) # label("p9loop 0 7549 ID<551260>"). [assumption]. 7822 L(x,y,z * L(u,w,u)) = L(x,y,z * u) # label("p9loop 0 7550 ID<551442>"). [assumption]. 7826 a(x,L(y,z,y) \ u,w) = a(x,y \ u,w) # label("p9loop 0 7554 ID<578408>"). [assumption]. 7827 L(x,y,L(z,u,z) \ w) = L(x,y,z \ w) # label("p9loop 0 7555 ID<578410>"). [assumption]. 7829 a(x,L(y,z,y) * u,w) = a(x,u * y,w) # label("p9loop 0 7557 ID<599531>"). [assumption]. 7832 a(x \ L(y,z,y),u,w) = a(x \ y,u,w) # label("p9loop 0 7560 ID<603709>"). [assumption]. 7835 (x * ((x \ y) * (y \ z))) \ z = a(x,x \ y,y \ z) # label("p9loop 0 7563 ID<3250736>"). [assumption]. 7850 (x * y) \ (R(x,z,u) * y) = y \ ((y / x) * R(x,z,u)) # label("p9loop 0 7578 ID<3678648>"). [assumption]. 7852 (x / ((x \ y) * x)) \ 1 = T((x / y) \ 1,x) # label("p9loop 0 7580 ID<4121168>"). [assumption]. 7853 T((x / (x * y)) \ 1,x) = (x / (y * x)) \ 1 # label("p9loop 0 7581 ID<5029293>"). [assumption]. 7855 (x / ((y \ z) * y)) * (y \ z) = (x / z) * (z / y) # label("p9loop 0 7583 ID<2235611>"). [assumption]. 7857 (x \ (x / y)) \ 1 = y * a(x,y \ 1,y) # label("p9loop 0 7585 ID<4427560>"). [assumption]. 7859 (x \ (y \ z)) * (K(y,y \ z) * u) = (x \ (z / y)) * u # label("p9loop 0 7587 ID<3114191>"). [assumption]. 7862 (x \ L(x,y,z)) * ((u * u) * w) = (u * u) * ((x \ L(x,y,z)) * w) # label("p9loop 0 7590 ID<4827671>"). [assumption]. 7865 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y # label("p9loop 0 7593 ID<584538>"). [assumption]. 7869 K(x * (y \ a(z,u,w)),v5) = K(x / y,v5) # label("p9loop 0 7597 ID<2440844>"). [assumption]. 7871 K(x \ y,T(z,u * x)) = K(y / x,T(z,u)) # label("p9loop 0 7599 ID<80907>"). [assumption]. 7875 K(x,y) * ((z \ T(x,y)) \ u) = (z \ x) \ u # label("p9loop 0 7603 ID<386708>"). [assumption]. 7887 L(K(x,x \ 1) * y,z,u) = L(y * K(x,x \ 1),z,u) # label("p9loop 0 7615 ID<166109>"). [assumption]. 7891 L(x \ y,x,a(z,u,w)) = (a(z,u,w) * x) \ (y * a(z,u,w)) # label("p9loop 0 7619 ID<5870>"). [assumption]. 7892 L(x,(y \ 1) \ z,y \ z) = L(x,y * z,y * z) # label("p9loop 0 7620 ID<3380240>"). [assumption]. 7900 L(x,y,((z * u) \ w) * v5) = L(x,y,((u * z) \ w) * v5) # label("p9loop 0 7628 ID<510371>"). [assumption]. 7914 R(x,(y * z) \ y,u) = R(x,y \ (z \ y),u) # label("p9loop 0 7642 ID<3697305>"). [assumption]. 7915 R(x,x \ (y \ z),y) \ z = (x \ (z / y)) * y # label("p9loop 0 7643 ID<3112317>"). [assumption]. 7916 R(x,y,(z * u) * w) = R(x,y,w * (u * z)) # label("p9loop 0 7644 ID<1329743>"). [assumption]. 7917 R(x,y,z * (u * (w / v5))) = R(x,y,z * (u * (v5 \ w))) # label("p9loop 0 7645 ID<3762596>"). [assumption]. 7918 R(x,y,z \ (T(u,w) \ v5)) = R(x,y,z \ (u \ v5)) # label("p9loop 0 7646 ID<493056>"). [assumption]. 7921 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z # label("p9loop 0 7649 ID<852198>"). [assumption]. 7923 T(K(x,y) * z,u \ K(y,x)) = T(z * K(x,y),u \ 1) # label("p9loop 0 7651 ID<2261406>"). [assumption]. 7924 L(x,y,z) * (x \ T(u,w)) = T(L(x,y,z) * (x \ u),w) # label("p9loop 0 7652 ID<2306262>"). [assumption]. 7930 a(L(x / y,z,u) \ w,v5,v6) = a(L(y \ x,z,u) \ w,v5,v6) # label("p9loop 0 7658 ID<2019537>"). [assumption]. 7940 R(K(x,y) / z,z,x) = T(x,y) / (z * x) # label("p9loop 0 7668 ID<774154>"). [assumption]. 7943 R(((1 / x) \ y) \ y,x,y) = (x * y) \ y # label("p9loop 0 7671 ID<831958>"). [assumption]. 7945 a(x,y,L(z \ 1,u,z)) = a(x,y,z \ 1) # label("p9loop 0 7673 ID<911559>"). [assumption]. 7949 a(x \ L(y,x,x),z,u) = a(x * y,z,u) # label("p9loop 0 7677 ID<1064300>"). [assumption]. 7953 a(x,y * ((z * u) \ z),w) = a(x,y * (z \ (u \ z)),w) # label("p9loop 0 7681 ID<5107732>"). [assumption]. 7954 a(x,((y * z) \ y) * u,w) = a(x,(y \ (z \ y)) * u,w) # label("p9loop 0 7682 ID<5107731>"). [assumption]. 7955 a(x,y,z \ (((u * w) \ u) * v5)) = a(x,y,z \ ((u \ (u / w)) * v5)) # label("p9loop 0 7683 ID<5109115>"). [assumption]. 7956 a(x,y,z \ ((u \ (u / w)) * v5)) = a(x,y,z \ ((u \ (w \ u)) * v5)) # label("p9loop 0 7684 ID<5121766>"). [assumption]. 7957 R(x,y,L(z,u \ 1,u)) = R(x,y,L(z,u,u)) # label("p9loop 0 7685 ID<5115032>"). [assumption]. 7960 a(L(x \ y,y,z),y,z) = y \ (x * R(x \ y,y,z)) # label("p9loop 0 7688 ID<4749063>"). [assumption]. 7963 a(x,y,((z \ u) * z) * w) = a(x,y,u * w) # label("p9loop 0 7691 ID<63827>"). [assumption]. 7966 a(x,y,z * (T(u,w) \ v5)) = a(x,y,z * (u \ v5)) # label("p9loop 0 7694 ID<72799>"). [assumption]. 7967 a(x,y,z \ ((u \ w) \ w)) = a(x,y,z \ u) # label("p9loop 0 7695 ID<62687>"). [assumption]. 7969 a(x,y,z \ (u * T(w,v5))) = a(x,y,z \ (u * w)) # label("p9loop 0 7697 ID<62399>"). [assumption]. 7977 x / R(y \ x,z,u) = R(x / y,z,u) \ x # label("p9loop 0 7705 ID<16481>"). [assumption]. 7984 ((x / y) \ z) \ K(y \ x,y) = ((y \ x) \ z) \ 1 # label("p9loop 0 7712 ID<3908616>"). [assumption]. 7986 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1 # label("p9loop 0 7714 ID<1710779>"). [assumption]. 7989 ((x \ y) / z) \ ((x \ y) * x) = ((y / x) / z) \ y # label("p9loop 0 7717 ID<4980719>"). [assumption]. 7995 (a(x,y,z) \ u) \ (u * (w / u)) = w / (a(x,y,z) \ u) # label("p9loop 0 7723 ID<2658843>"). [assumption]. 7997 (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z) # label("p9loop 0 7725 ID<299>"). [assumption]. 8003 (x * T(y,z)) * (T(y,z) \ u) = (x * y) * (y \ u) # label("p9loop 0 7731 ID<412728>"). [assumption]. 8005 (x * y) * (y \ T(z,x)) = z * R(x,y,y \ z) # label("p9loop 0 7733 ID<3245323>"). [assumption]. 8008 (x * y) / (x * (y * K(z,u))) = K(u,T(z,x * y)) # label("p9loop 0 7736 ID<93668>"). [assumption]. 8011 x * ((y / (y / x)) \ z) = K(x,x \ y) * z # label("p9loop 0 7739 ID<412007>"). [assumption]. 8012 (x / (x / y)) \ z = K(y,y \ x) * (y \ z) # label("p9loop 0 7740 ID<60358>"). [assumption]. 8022 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1) # label("p9loop 0 7750 ID<1668611>"). [assumption]. 8025 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z) # label("p9loop 0 7753 ID<390999>"). [assumption]. 8026 (x \ K(y,z)) * (K(z,y) * u) = (x \ 1) * u # label("p9loop 0 7754 ID<207148>"). [assumption]. 8031 a(x,a(y,z,u),w) = a(x,a(u,z,y),w) # label("p9loop 0 7759 ID<5222729>"). [assumption]. 8032 L(x,a(y,z,u),w) = L(x,a(u,z,y),w) # label("p9loop 0 7760 ID<5222743>"). [assumption]. 8038 ((x \ y) \ 1) * ((y \ x) \ z) = ((x \ y) * (y \ x)) \ z # label("p9loop 0 7766 ID<5271505>"). [assumption]. 8040 L(x,y,z \ (y \ z)) = L(x,y,y) # label("p9loop 0 7768 ID<5259959>"). [assumption]. 8041 (x * y) * a(y,y,z) = x * R(y,y,z) # label("p9loop 0 7769 ID<5269567>"). [assumption]. 8043 x * (y * a(x,x,z)) = R(x,x,z) * y # label("p9loop 0 7771 ID<5259210>"). [assumption]. 8047 x * (y * (z * a(x,x,y))) = R(x,x,y) * (y * z) # label("p9loop 0 7775 ID<5284879>"). [assumption]. 8049 (a(x,y,y) \ z) * y = z * L(y,y,x) # label("p9loop 0 7777 ID<5258391>"). [assumption]. 8050 a(x,y,y) * (y \ z) = L(y,y,x) \ z # label("p9loop 0 7778 ID<5262351>"). [assumption]. 8051 (x / y) * L(y,y,z) = a(z,y,y) \ x # label("p9loop 0 7779 ID<5258921>"). [assumption]. 8054 L(x,x,a(y,x,z)) = x # label("p9loop 0 7782 ID<5244785>"). [assumption]. 8055 a(x,x,a(y,x,z)) = 1 # label("p9loop 0 7783 ID<5244918>"). [assumption]. 8057 L(x,y,a(z,y,y)) = x # label("p9loop 0 7785 ID<5257086>"). [assumption]. 8061 L(x,y,a(y,y,z)) = x # label("p9loop 0 7789 ID<5257992>"). [assumption]. 8068 L(x,x,L(y,x,z)) = L(x,x,y) # label("p9loop 0 7796 ID<5258208>"). [assumption]. 8069 L(x,y,L(y,y,z)) = L(x,y,y) # label("p9loop 0 7797 ID<5258216>"). [assumption]. 8075 L(x,x,y) * (x \ z) = a(y,x,x) \ z # label("p9loop 0 7803 ID<5258938>"). [assumption]. 8076 (x * a(y,x,x)) * z = x * (z * a(y,x,x)) # label("p9loop 0 7804 ID<5300596>"). [assumption]. 8077 (x * a(y,x,x)) \ z = x \ (a(y,x,x) \ z) # label("p9loop 0 7805 ID<5314619>"). [assumption]. 8079 (a(x,y,z) / y) \ 1 = a(x,y,z) \ y # label("p9loop 0 7807 ID<5239866>"). [assumption]. 8080 a(x,y,a(z,u,w)) = a(x,y,a(w,u,z)) # label("p9loop 0 7808 ID<5222882>"). [assumption]. 8082 a(x,y,a(z,u,w)) != v5 | a(x,y,a(w,u,z)) = v5 # label("p9loop 0 7810 ID<5322879>"). [assumption]. 8091 a(x,y,z) \ (y \ 1) = y \ (a(x,y,z) \ 1) # label("p9loop 0 7819 ID<5331308>"). [assumption]. 8098 a(x,y,z) * (y \ 1) = y \ a(x,y,z) # label("p9loop 0 7826 ID<5239867>"). [assumption]. 8099 (1 / x) \ a(y,x,z) = x * a(y,x,z) # label("p9loop 0 7827 ID<5239870>"). [assumption]. 8104 a(x,y,a(z,u,w) \ v5) = a(x,y,v5 * a(w,u,z)) # label("p9loop 0 7832 ID<5339751>"). [assumption]. 8105 L(x,y,a(z,u,y)) * y = L(x * y,y,a(z,u,y)) # label("p9loop 0 7833 ID<5361418>"). [assumption]. 8106 x * L(y,x,a(z,u,x)) = L(x * y,x,a(z,u,x)) # label("p9loop 0 7834 ID<5364197>"). [assumption]. 8107 (a(x,y,z) \ u) * (u \ a(x,y,z)) = a(a(x,y,z),u,a(x,y,z) * u) # label("p9loop 0 7835 ID<5340382>"). [assumption]. 8108 x \ L(x,a(y,z,u),w) = a(x,a(y,z,u),w) # label("p9loop 0 7836 ID<5340403>"). [assumption]. 8116 a(x,a(y,z,u),a(w,v5,a(y,z,u))) = 1 # label("p9loop 0 7844 ID<5367739>"). [assumption]. 8117 a(x,y,z) * (u * a(a(x,y,z),w,v5)) = L(a(x,y,z),w,v5) * u # label("p9loop 0 7845 ID<5359925>"). [assumption]. 8118 a(x,y,z) \ a(a(x,y,z),u,w) = L(a(x,y,z) \ 1,u,w) # label("p9loop 0 7846 ID<5361556>"). [assumption]. 8119 a(x,y,z) * a(a(x,y,z),u,w) = L(a(x,y,z),u,w) # label("p9loop 0 7847 ID<5372692>"). [assumption]. 8120 a(x,y,z) \ L(a(x,y,z),u,w) = a(a(x,y,z),u,w) # label("p9loop 0 7848 ID<5358920>"). [assumption]. 8126 (a(x,y,z) \ u) * a(w,v5,a(x,y,z)) = L(a(x,y,z),v5,w) \ u # label("p9loop 0 7854 ID<5369882>"). [assumption]. 8127 (x * ((a(y,z,u) \ x) \ 1)) \ w = w * (x * ((a(y,z,u) * x) \ 1)) # label("p9loop 0 7855 ID<5378621>"). [assumption]. 8128 (a(x,y,z) \ u) * (w * a(x,y,z)) = (u * a(x,y,z)) * (a(x,y,z) \ w) # label("p9loop 0 7856 ID<5370106>"). [assumption]. 8131 a(x,y,z) \ (u \ (a(x,y,z) * w)) = a(x,y,z) * (u \ (a(x,y,z) \ w)) # label("p9loop 0 7859 ID<5380917>"). [assumption]. 8135 a(x,y,z) \ (u * (a(x,y,z) * w)) = a(x,y,z) * (u * (a(x,y,z) \ w)) # label("p9loop 0 7863 ID<5340889>"). [assumption]. 8139 (a(x,y,z) \ u) * L(w,a(x,y,z),u) = u * (a(x,y,z) \ w) # label("p9loop 0 7867 ID<5339837>"). [assumption]. 8149 a(x,y,L(y,y,z)) = a(x,y,y) # label("p9loop 0 7877 ID<5395706>"). [assumption]. 8153 L(x,y,a(z,u,w)) = L(x,y,a(w,u,z)) # label("p9loop 0 7881 ID<5226365>"). [assumption]. 8155 L(x,y,a(z,u,w)) != v5 | L(x,y,a(w,u,z)) = v5 # label("p9loop 0 7883 ID<5400638>"). [assumption]. 8157 a(x,a(y,z,u),w) \ v5 = v5 * a(w,a(y,z,u),x) # label("p9loop 0 7885 ID<5367548>"). [assumption]. 8163 (a(x,y,z) \ u) * K(w,v5) = u * (a(x,y,z) \ K(w,v5)) # label("p9loop 0 7891 ID<5341566>"). [assumption]. 8167 L(x,y,z * (a(u,w,v5) \ v6)) = L(x,y,z * (a(u,w,v5) * v6)) # label("p9loop 0 7895 ID<5386875>"). [assumption]. 8172 a(a(x,y,z) \ u,w,v5) = a(a(x,y,z) * u,w,v5) # label("p9loop 0 7900 ID<5339345>"). [assumption]. 8176 L(x,a(y,z,u),a(y,z,u)) = x # label("p9loop 0 7904 ID<5339179>"). [assumption]. 8183 L(x,y \ (z \ y),a(z,z,u)) = x # label("p9loop 0 7911 ID<5300859>"). [assumption]. 8184 L(x,y \ (z \ y),a(u,z,z)) = x # label("p9loop 0 7912 ID<5412248>"). [assumption]. 8192 L(x,L(y,z,u),L(y,z,u)) = L(x,y,y) # label("p9loop 0 7920 ID<5220990>"). [assumption]. 8193 L(x,y,a(z,u,w) \ v5) = L(x,y,a(z,u,w) * v5) # label("p9loop 0 7921 ID<5341589>"). [assumption]. 8194 a(x,a(y,z,u) * w,v5) = a(x,a(u,z,y) * w,v5) # label("p9loop 0 7922 ID<5385415>"). [assumption]. 8195 a(x,y,a(z,u,w) * v5) = a(x,y,v5 * a(w,u,z)) # label("p9loop 0 7923 ID<5430730>"). [assumption]. 8198 a(x,y,(z * a(u,w,v5)) * v6) = a(x,y,v6 * (a(v5,w,u) * z)) # label("p9loop 0 7926 ID<5434783>"). [assumption]. 8199 (a(x,y,z) \ 1) * u = a(x,y,z) \ u # label("p9loop 0 7927 ID<5339209>"). [assumption]. 8200 x * (a(y,z,u) \ 1) = a(y,z,u) \ x # label("p9loop 0 7928 ID<5339452>"). [assumption]. 8201 (a(x,y,z) \ 1) \ u = a(x,y,z) * u # label("p9loop 0 7929 ID<5339322>"). [assumption]. 8202 x \ (a(y,z,u) \ x) = a(y,z,u) \ 1 # label("p9loop 0 7930 ID<5339325>"). [assumption]. 8204 a(x,y,z \ L(z,u,w)) \ v5 = a(z * L(z,u,w),y,x) * v5 # label("p9loop 0 7932 ID<5398188>"). [assumption]. 8205 (x \ L(x,y,z)) \ u = u * (L(x,y,z) \ x) # label("p9loop 0 7933 ID<5224891>"). [assumption]. 8206 a(x,y,L(z * R(u,w,v5),v6,v7)) = a(x,y,L(z * L(u,w,v5),v6,v7)) # label("p9loop 0 7934 ID<5439800>"). [assumption]. 8208 a(x,x,L(y,x,z)) = a(x,x,y) # label("p9loop 0 7936 ID<5441998>"). [assumption]. 8211 R(x,L(x,y,z),u) = R(x,x,L(u,y,z)) # label("p9loop 0 7939 ID<5442949>"). [assumption]. 8221 L(L(x,y,z) \ x,u * x,u * x) = (u \ L(x,y,z)) \ (u \ x) # label("p9loop 0 7949 ID<5456062>"). [assumption]. 8235 L(x,(y \ z) \ u,(y \ z) \ u) = L(x,z \ (y * u),z \ (y * u)) # label("p9loop 0 7963 ID<5428912>"). [assumption]. 8242 L(x,(y * z) \ u,(y * z) \ u) = L(x,z \ (y \ u),z \ (y \ u)) # label("p9loop 0 7970 ID<5427128>"). [assumption]. 8246 (x \ 1) \ ((R(x,y,z) \ 1) * u) = x * (R(x,y,z) \ u) # label("p9loop 0 7974 ID<5220170>"). [assumption]. 8247 x \ ((R(1 / x,y,z) \ 1) * u) = x * (R(x,y,z) \ u) # label("p9loop 0 7975 ID<5478646>"). [assumption]. 8248 a(x,y,L(z,u,w) * (z \ v5)) = a(x,y,z * (L(z,u,w) \ v5)) # label("p9loop 0 7976 ID<5481404>"). [assumption]. 8249 a(x,y,(z \ u) * L(z,w,v5)) = a(x,y,z * (L(z,w,v5) \ u)) # label("p9loop 0 7977 ID<5480486>"). [assumption]. 8250 R(x,y,z) \ L(u,x \ 1,x) = (R(x,y,z) \ 1) * u # label("p9loop 0 7978 ID<5221050>"). [assumption]. 8254 L(x,y,z) * (x \ ((x \ 1) \ u)) = (L(x,y,z) \ 1) \ u # label("p9loop 0 7982 ID<5225408>"). [assumption]. 8259 (L(x,x,y) \ 1) * y = (x \ 1) * R(y,x,x) # label("p9loop 0 7987 ID<5216997>"). [assumption]. 8261 (x \ 1) \ ((L(x,y,z) \ 1) * u) = x * (L(x,y,z) \ u) # label("p9loop 0 7989 ID<5216345>"). [assumption]. 8262 L(x,y,z) \ L(u,x \ 1,x) = (L(x,y,z) \ 1) * u # label("p9loop 0 7990 ID<5215698>"). [assumption]. 8264 L(x \ 1,y,z) \ L(u,x,x) = (L(x \ 1,y,z) \ 1) * u # label("p9loop 0 7992 ID<5221277>"). [assumption]. 8265 L(x,y,z) * (u * a(x,x,u)) = (1 / L(x,y,z)) \ u # label("p9loop 0 7993 ID<5256507>"). [assumption]. 8270 L(a(x,y,z),x,y * z) = x \ R(x,y,z) # label("p9loop 0 7998 ID<5321345>"). [assumption]. 8272 L(x,y * z,a(z,y,y)) = L(x,y,a(z,z,y)) # label("p9loop 0 8000 ID<5579036>"). [assumption]. 8276 a(x,x,y * L(x,z,u)) = a(x,x,y * x) # label("p9loop 0 8004 ID<5581394>"). [assumption]. 8281 a(x,L((y * z) \ y,u,w),v5) = a(x,L(y \ (z \ y),u,w),v5) # label("p9loop 0 8009 ID<5587073>"). [assumption]. 8286 a((x \ y) * y,y \ x,z) = a(x,y \ x,z) # label("p9loop 0 8014 ID<5592950>"). [assumption]. 8287 a(x * (y \ x),x \ y,z) = a(y,x \ y,z) # label("p9loop 0 8015 ID<5594195>"). [assumption]. 8289 a(x \ (y \ x),x * y,z) = a(L(y,x,x),x * y,z) # label("p9loop 0 8017 ID<5596684>"). [assumption]. 8290 x \ (((x * (y * y)) / y) * z) = R(x,y,y) \ ((x * y) * z) # label("p9loop 0 8018 ID<5594750>"). [assumption]. 8296 a(L(x,y,z),y,z) = a(x,y,z) # label("p9loop 0 8024 ID<5512167>"). [assumption]. 8300 L(x,y,L(z,y,y)) = L(x,y,z) # label("p9loop 0 8028 ID<5603695>"). [assumption]. 8301 a(x \ y,x,z) = a(x * y,x,z) # label("p9loop 0 8029 ID<5515904>"). [assumption]. 8303 L(x,y,y \ z) = L(x,y,z * y) # label("p9loop 0 8031 ID<5603830>"). [assumption]. 8307 a(x,y,L(z,z,y)) = L(z,y,x) \ z # label("p9loop 0 8035 ID<5538133>"). [assumption]. 8314 (x * y) \ (((x * y) * y) * z) = (x / y) \ (x * z) # label("p9loop 0 8043 ID<5622360>"). [assumption]. 8326 a(x \ y,z,x) = a(x * y,z,x) # label("p9loop 0 8055 ID<5649066>"). [assumption]. 8342 a(x,y,a(z,u,y)) = a(z,u,a(y,y,x)) # label("p9loop 0 8071 ID<5660944>"). [assumption]. 8346 L(a(x,y,z),L(x,u,w),v5) = L(a(x,y,z),x,L(v5,u,w)) # label("p9loop 0 8075 ID<5675378>"). [assumption]. 8352 (x * y) * a(y,x,z) = x * R(y,x,z) # label("p9loop 0 8081 ID<5514396>"). [assumption]. 8366 a(x,y,a(z,u,w)) * a(y,a(w,u,z),x) = a(y,x,a(w,u,z)) # label("p9loop 0 8095 ID<5704599>"). [assumption]. 8379 x * (a(y,z,x) \ z) = L(x,z,y) * z # label("p9loop 0 8108 ID<5544915>"). [assumption]. 8380 L(x,a(y,z,u) \ w,v5) = L(x,a(y,z,u) * w,v5) # label("p9loop 0 8109 ID<5636332>"). [assumption]. 8381 a(x,y * (a(z,u,w) \ v5),v6) = a(x,y * (a(z,u,w) * v5),v6) # label("p9loop 0 8110 ID<5717271>"). [assumption]. 8382 a(x,y \ (a(z,u,w) \ v5),v6) = a(x,y \ (a(z,u,w) * v5),v6) # label("p9loop 0 8111 ID<5718377>"). [assumption]. 8405 L(a(x,y,z) \ 1,z,y) = z \ L(z,y,x) # label("p9loop 0 8134 ID<5713247>"). [assumption]. 8406 L(L(a(x,y,z) \ 1,u,w),z,y) = L(z \ L(z,y,x),u,w) # label("p9loop 0 8135 ID<5740632>"). [assumption]. 8410 L(x \ L(x,y,z),x,y) = a(z,y,x) \ 1 # label("p9loop 0 8139 ID<5537973>"). [assumption]. 8414 a(x,y,a(z,y,a(u,w,y))) = 1 # label("p9loop 0 8143 ID<5671429>"). [assumption]. 8417 L(x,y,a(z,y,a(y,u,w))) = x # label("p9loop 0 8146 ID<5680701>"). [assumption]. 8424 L(x,y,x \ z) = L(x,y,x * z) # label("p9loop 0 8153 ID<5650202>"). [assumption]. 8426 L(x,y \ (z \ y),z) = L(x,z \ 1,z) # label("p9loop 0 8155 ID<5258047>"). [assumption]. 8427 x * (a(y,x,x) \ z) = L(x,x,y) * z # label("p9loop 0 8156 ID<5258196>"). [assumption]. 8428 L(x,(y \ (z \ y)) \ 1,z) = L(x,z,z) # label("p9loop 0 8157 ID<5258255>"). [assumption]. 8429 x * (L(x,x,y) \ z) = a(y,x,x) * z # label("p9loop 0 8158 ID<5258294>"). [assumption]. 8430 x * (R(x,x,y) \ z) = a(x,x,y) \ z # label("p9loop 0 8159 ID<5258327>"). [assumption]. 8431 a(x,x,y) \ (z / x) = z / R(x,x,y) # label("p9loop 0 8160 ID<5259619>"). [assumption]. 8435 L(L(x,x \ y,z) \ x,x,y) = a(z,x \ y,x) # label("p9loop 0 8164 ID<5635223>"). [assumption]. 8436 (x * a(y,x,z)) \ (x * z) = L(z,x,y) # label("p9loop 0 8165 ID<5547392>"). [assumption]. 8438 x \ (L(y / x,x,z) \ y) = a(z,x,x \ y) # label("p9loop 0 8167 ID<5547104>"). [assumption]. 8440 x * (L(x,y,z) \ y) = y * a(z,y,x) # label("p9loop 0 8169 ID<5545385>"). [assumption]. 8459 a(x,y,L(a(z,u,w),y,y)) = a(a(w,u,z),y,x) # label("p9loop 0 8188 ID<5786420>"). [assumption]. 8461 a(a(x,y,z),u,w) * a(u,a(x,y,z),w) = a(u,w,a(x,y,z)) # label("p9loop 0 8190 ID<5789879>"). [assumption]. 8467 L(L(x,a(y,z,u),w),a(y,z,u),w) = x # label("p9loop 0 8196 ID<5790587>"). [assumption]. 8468 x * a(y,a(z,u,w),x) = L(x,a(z,u,w),y) # label("p9loop 0 8197 ID<5790526>"). [assumption]. 8489 x * L(a(y,z,u) \ 1,w,v5) = L(a(y,z,u),w,v5) \ x # label("p9loop 0 8218 ID<5771808>"). [assumption]. 8490 L(a(x,y,z) \ 1,u,w) * v5 = L(a(x,y,z),u,w) \ v5 # label("p9loop 0 8219 ID<5771586>"). [assumption]. 8498 a(x,y,z) * (L(u,w,a(x,y,z)) * w) = u * (w * a(x,y,z)) # label("p9loop 0 8227 ID<5773188>"). [assumption]. 8500 L(L(x,y,a(z,u,w)),y,a(w,u,z)) = x # label("p9loop 0 8229 ID<5783629>"). [assumption]. 8503 L(a(x,y,z) \ 1,u,w) \ v5 = L(a(x,y,z),u,w) * v5 # label("p9loop 0 8232 ID<5771822>"). [assumption]. 8505 a(x,y,z) * (u * L(w,u,a(x,y,z))) = (u * a(x,y,z)) * w # label("p9loop 0 8234 ID<5773181>"). [assumption]. 8506 L(L(x,y,a(z,u,w)),y,a(z,u,w)) = x # label("p9loop 0 8235 ID<5773523>"). [assumption]. 8508 L(x,y,a(z,u,w)) * (x \ v5) = x * (L(x,y,a(z,u,w)) \ v5) # label("p9loop 0 8237 ID<5775011>"). [assumption]. 8510 L(x,y,a(z,u,w)) \ 1 = L(x \ 1,y,a(z,u,w)) # label("p9loop 0 8239 ID<5831665>"). [assumption]. 8520 a(x,L(x,y,z),u) = a(x,x,L(u,y,z)) # label("p9loop 0 8249 ID<5441993>"). [assumption]. 8524 L(L(x,y,z),L(x,u,w),v5) = L(L(x,y,z),x,L(v5,u,w)) # label("p9loop 0 8253 ID<5855848>"). [assumption]. 8525 L(x,L(x,y,z),u) = L(x,x,L(u,y,z)) # label("p9loop 0 8254 ID<5852573>"). [assumption]. 8527 a(L(x,y,z),u,u) = a(x,u,L(u,y,z)) # label("p9loop 0 8256 ID<5844301>"). [assumption]. 8528 a(x,L(y,z,u),L(L(y,z,u),w,v5)) = a(x,y,L(y,w,v5)) # label("p9loop 0 8257 ID<5858671>"). [assumption]. 8533 x \ (a(x,x,y) \ z) = R(x,x,y) \ z # label("p9loop 0 8262 ID<5259620>"). [assumption]. 8535 a(x,x,y) * (z * x) = z * R(x,x,y) # label("p9loop 0 8264 ID<5260019>"). [assumption]. 8537 (x / y) * a(z,y,y) = x / L(y,y,z) # label("p9loop 0 8266 ID<5262365>"). [assumption]. 8538 L(x,y \ ((z \ 1) \ y),z) = L(x,z,z) # label("p9loop 0 8267 ID<5262465>"). [assumption]. 8539 (x / y) * R(y,y,z) = x * a(y,y,z) # label("p9loop 0 8268 ID<5263281>"). [assumption]. 8540 x * (a(x,x,y) * z) = R(x,x,y) * z # label("p9loop 0 8269 ID<5269621>"). [assumption]. 8541 L(x,y \ (x \ y),z) = L(x,x \ 1,z) # label("p9loop 0 8270 ID<5270663>"). [assumption]. 8545 L(x,a(y,z,u),a(a(y,z,u),w,v5)) = x # label("p9loop 0 8274 ID<5369847>"). [assumption]. 8552 a(x,(y \ z) * a(y,y,u),w) = a(x,L(y,y,u) \ z,w) # label("p9loop 0 8281 ID<5861688>"). [assumption]. 8553 R(x,L(y,z,u),L(y,z,u)) = R(x,y,y) # label("p9loop 0 8282 ID<5870206>"). [assumption]. 8557 L(R(x,y,z) \ x,x,y) = a(x,y,z) \ 1 # label("p9loop 0 8286 ID<5880321>"). [assumption]. 8559 x * (L(L(x,y,z),y,z) \ ((a(z,y,x) * u) \ w)) = (a(z,y,x) \ u) \ w # label("p9loop 0 8288 ID<5882065>"). [assumption]. 8561 L(x,a(y,z,u) * w,v5) = L(x,w * a(u,z,y),v5) # label("p9loop 0 8290 ID<5884915>"). [assumption]. 8563 a(x,y,z) \ (L(L(z,y,x),y,x) \ u) = (z \ u) * a(x,y,z) # label("p9loop 0 8292 ID<5882962>"). [assumption]. 8564 a(x,y,z) * (a(x,y,z) * u) = z * (L(L(z,y,x),y,x) \ u) # label("p9loop 0 8293 ID<5880216>"). [assumption]. 8565 a(x,y,z) * (u * a(x,y,z)) = z * (L(L(z,y,x),y,x) \ u) # label("p9loop 0 8294 ID<5880246>"). [assumption]. 8566 L(L(x,y,z),y,z) \ x = a(z,y,x) * a(z,y,x) # label("p9loop 0 8295 ID<5879819>"). [assumption]. 8568 a(x,y,L(R(z,u,w) \ v5,v6,v7)) = a(x,y,L(L(z,u,w) \ v5,v6,v7)) # label("p9loop 0 8297 ID<5892727>"). [assumption]. 8569 a(x,y,L(z,y,y)) = a(x,y,z) # label("p9loop 0 8298 ID<5892749>"). [assumption]. 8573 x * (L(x,y,z) \ (L(x,y,z) \ u)) = L(L(x,y,z),y,z) \ u # label("p9loop 0 8302 ID<5879755>"). [assumption]. 8574 L(x,y,z) * (L(L(x,y,z),y,z) \ u) = x * (L(x,y,z) \ u) # label("p9loop 0 8303 ID<5880449>"). [assumption]. 8576 a((x * (L(y,z,x) * z)) * u,w,v5) = a(u * ((x * z) * y),w,v5) # label("p9loop 0 8305 ID<5904085>"). [assumption]. 8577 a(((x * L(y,x,z)) * z) * u,w,v5) = a(u * ((z * x) * y),w,v5) # label("p9loop 0 8306 ID<5904203>"). [assumption]. 8578 x * (L(L(x,y,z),y,z) \ L(u,w,v5)) = L(x * (L(L(x,y,z),y,z) \ u),w,v5) # label("p9loop 0 8307 ID<5882098>"). [assumption]. 8579 x \ (y * (L(L(y,z,u),z,u) \ w)) = y * (L(L(y,z,u),z,u) \ (x \ w)) # label("p9loop 0 8308 ID<5881228>"). [assumption]. 8580 a(x,y,z * (L(L(z,u,w),u,w) \ v5)) = a(x,y,v5) # label("p9loop 0 8309 ID<5881354>"). [assumption]. 8581 a(x,y,z * (u * L(w,u,z))) = a(x,y,(z * u) * w) # label("p9loop 0 8310 ID<5906482>"). [assumption]. 8582 (x \ L(L(x,y,z),y,z)) \ u = x * (L(L(x,y,z),y,z) \ u) # label("p9loop 0 8311 ID<5891395>"). [assumption]. 8583 x \ ((y \ L(L(y,z,u),z,u)) * w) = (x \ w) * (y \ L(L(y,z,u),z,u)) # label("p9loop 0 8312 ID<5908242>"). [assumption]. 8586 (L(L(x,y,z),y,z) * (x \ u)) * w = L(L(x,y,z),y,z) * (x \ (u * w)) # label("p9loop 0 8315 ID<5909785>"). [assumption]. 8587 (x \ L(L(x,y,z),y,z)) * u = L(L(x,y,z),y,z) * (x \ u) # label("p9loop 0 8316 ID<5908693>"). [assumption]. 8592 L(x,y,L(L(z,u,w),u,w)) = L(x,y,z) # label("p9loop 0 8321 ID<5626632>"). [assumption]. 8598 L(x,L(L(y,z,u),z,u) \ w,v5) = L(x,y \ w,v5) # label("p9loop 0 8327 ID<5880219>"). [assumption]. 8599 a(x,y,L(L(z,u,w),u,w)) = a(x,y,z) # label("p9loop 0 8328 ID<5906471>"). [assumption]. 8602 a(x,y,L((z * u) \ w,z,u)) = a(x,y,z \ (u \ w)) # label("p9loop 0 8331 ID<5923044>"). [assumption]. 8605 a(x,y,z) * (a(x,y,z) / z) = 1 / L(L(z,y,x),y,x) # label("p9loop 0 8334 ID<5879775>"). [assumption]. 8617 a(x,y,z * a(u,w,v5)) = a(x,y,z * a(v5,w,u)) # label("p9loop 0 8346 ID<5430764>"). [assumption]. 8620 a(x,a(y,z,u) * w,v5) = a(x,w * a(u,z,y),v5) # label("p9loop 0 8349 ID<5429924>"). [assumption]. 8622 L(x,L(y * (z \ 1),z,z),u) = L(x,z \ y,u) # label("p9loop 0 8351 ID<5419726>"). [assumption]. 8623 L(x,L((y \ 1) * z,y,y),u) = L(x,y \ z,u) # label("p9loop 0 8352 ID<5419421>"). [assumption]. 8624 a(x,y,(z \ a(u,w,v5)) * v6) = a(x,y,v6 * (z \ a(v5,w,u))) # label("p9loop 0 8353 ID<5436656>"). [assumption]. 8630 L(x,y * (z * R(u,w,v5)),v6) = L(x,y * (z * L(u,w,v5)),v6) # label("p9loop 0 8359 ID<5631641>"). [assumption]. 8632 L(x,y * R(z,u,w),v5) = L(x,y * L(z,u,w),v5) # label("p9loop 0 8361 ID<5631645>"). [assumption]. 8633 L(x,R(y,z,u) * w,v5) = L(x,L(y,z,u) * w,v5) # label("p9loop 0 8362 ID<5631646>"). [assumption]. 8634 a(x,y * (z \ ((1 / z) \ u)),w) = a(x,y * L(u,z,z),w) # label("p9loop 0 8363 ID<5718637>"). [assumption]. 8638 a(x,y \ ((z / u) * w),v5) = a(x,y \ ((u \ z) * w),v5) # label("p9loop 0 8367 ID<5635280>"). [assumption]. 8653 a(x * (y \ x),z,x) = a(y,z,x) # label("p9loop 0 8382 ID<5959593>"). [assumption]. 8655 a(x,y,L(z,x,y)) = x \ R(x,y,z) # label("p9loop 0 8384 ID<5958943>"). [assumption]. 8656 x * (a(x,y,z) * y) = R(x,y,z) * y # label("p9loop 0 8385 ID<5514949>"). [assumption]. 8661 (a(x,y,z) \ y) * z = y * L(z,y,x) # label("p9loop 0 8390 ID<5542429>"). [assumption]. 8663 (x / y) * L(y,x,z) = a(z,x,y) \ x # label("p9loop 0 8392 ID<5543063>"). [assumption]. 8664 a(x,y,z) * (z \ y) = L(z,y,x) \ y # label("p9loop 0 8393 ID<5544951>"). [assumption]. 8665 (a(x,y,z) * y) \ (y * z) = L(z,y,x) # label("p9loop 0 8394 ID<5547391>"). [assumption]. 8666 a(x,y,z) * (y * L(z,y,x)) = y * z # label("p9loop 0 8395 ID<5548397>"). [assumption]. 8672 L(x,L(y,z,u),a(w,v5,y)) = L(x,y,L(a(y,v5,w),z,u)) # label("p9loop 0 8401 ID<5962280>"). [assumption]. 8673 L(x,a(y,z,u),L(u,w,v5)) = L(x,u,L(a(u,z,y),w,v5)) # label("p9loop 0 8402 ID<5961111>"). [assumption]. 8675 L(x,y,z) \ L(L(x,y,z),u,w) = L(x \ L(x,u,w),y,z) # label("p9loop 0 8404 ID<5843016>"). [assumption]. 8678 L(1 / x,y,z) \ L(u,x,x) = (L(1 / x,y,z) \ 1) * u # label("p9loop 0 8407 ID<5221259>"). [assumption]. 8688 a(x * y,z,a(y,x,z)) = a(x,z,a(y,x,z)) # label("p9loop 0 8417 ID<5991780>"). [assumption]. 8698 (x * y) \ ((x * (y * z)) / z) = a(x,y,z) \ 1 # label("p9loop 0 8427 ID<5222649>"). [assumption]. 8701 (x \ y) * a(z,u,L(w,x * y,x)) = x \ (y * a(z,u,w)) # label("p9loop 0 8430 ID<6064721>"). [assumption]. 8704 a(x,y,L(z,u * x,u)) = a((x \ u) * u,y,z) # label("p9loop 0 8433 ID<6097279>"). [assumption]. 8705 a(x,y,L(z \ u,w * z,w)) = a(x,y,(w \ z) \ (w \ u)) # label("p9loop 0 8434 ID<6109789>"). [assumption]. 8706 a((x \ y) * y,z,x \ u) = a(x,z,(y \ x) \ (y \ u)) # label("p9loop 0 8435 ID<6130866>"). [assumption]. 8707 a(x,x,y) \ (a(z,z,u) * w) = a(z,z,u) * (a(x,x,y) \ w) # label("p9loop 0 8436 ID<6048465>"). [assumption]. 8714 a(x,y,a(y,z,a(u,w,z))) = 1 # label("p9loop 0 8443 ID<6011543>"). [assumption]. 8716 a(x,y,a(z,u,w)) = a(w,u,a(z,y,x)) # label("p9loop 0 8445 ID<6111491>"). [assumption]. 8726 a(x,y,a(z,u,w)) * v5 != v6 | v5 * a(w,u,a(x,y,z)) = v6 # label("p9loop 0 8455 ID<6163216>"). [assumption]. 8727 L(x,y,z) * a(x,y,a(z,u,w)) = L(x,y,L(z,u,w)) # label("p9loop 0 8456 ID<6142526>"). [assumption]. 8731 a(x,y,a(z,u,w)) * a(z,y,L(x,u,w)) = a(z,y,x) # label("p9loop 0 8460 ID<6144647>"). [assumption]. 8732 a(x,y,a(z,u,w)) * a(x,y,L(z,u,w)) = a(x,y,z) # label("p9loop 0 8461 ID<6173227>"). [assumption]. 8741 L(x,y,a(z,u,w)) != v5 | L(x,u,a(z,y,w)) = v5 # label("p9loop 0 8470 ID<6191592>"). [assumption]. 8745 L(x,y,a(y * z,u,z)) = L(x,u,a(y,y,z)) # label("p9loop 0 8474 ID<6191354>"). [assumption]. 8746 L(x,y,a(z,u,w)) = L(x,u,a(z,y,w)) # label("p9loop 0 8475 ID<6191303>"). [assumption]. 8748 L(x,y,a(z,u,w)) = L(x,u,a(w,y,z)) # label("p9loop 0 8477 ID<6138956>"). [assumption]. 8752 a(x,y,a(z,u,w)) * a(z,y,w) = a(z,y,L(w,u,x)) # label("p9loop 0 8481 ID<6176693>"). [assumption]. 8755 a(x,y,a(z,u,w)) * a(x,u,z) = a(x,u,L(z,y,w)) # label("p9loop 0 8484 ID<6188577>"). [assumption]. 8756 a(x,y,a(z,u,w)) != v5 | a(w,y,a(z,u,x)) = v5 # label("p9loop 0 8485 ID<6176496>"). [assumption]. 8759 a(x,y,a(y,z,(y * u) * w)) = a(x,z,a(y,y,u * w)) # label("p9loop 0 8488 ID<6203737>"). [assumption]. 8760 a(x,y,a(z,u,w)) = a(x,u,a(z,y,w)) # label("p9loop 0 8489 ID<6139289>"). [assumption]. 8763 a(x,y,a(z,u,w)) * a(z,u,a(w,x,y)) = a(x,a(z,u,w),y) # label("p9loop 0 8492 ID<6168804>"). [assumption]. 8764 a(x,y,a(z,u,w)) * a(u,a(x,y,w),z) = a(u,z,a(x,y,w)) # label("p9loop 0 8493 ID<6209519>"). [assumption]. 8765 a(x,y,a(z,u,w)) * a(w,y,a(z,x,u)) = a(x,a(w,y,z),u) # label("p9loop 0 8494 ID<6209388>"). [assumption]. 8767 a(x,y,a(z,u,w)) = a(z,y,a(x,u,w)) # label("p9loop 0 8496 ID<6138699>"). [assumption]. 8770 a(x,y,a(z,u,w)) * a(x,y,w) = a(x,y,L(w,u,z)) # label("p9loop 0 8499 ID<6176695>"). [assumption]. 8777 L(x,y,a(z,u,a(w,w,y))) = x # label("p9loop 0 8506 ID<6009896>"). [assumption]. 8787 a(x,y,a(y,z,a(z,u,w))) = 1 # label("p9loop 0 8516 ID<6037335>"). [assumption]. 8788 L(x,y,a(z,z,a(y,u,w))) = x # label("p9loop 0 8517 ID<6047423>"). [assumption]. 8789 a(x,y,L(z,u,x)) = a(x,y,z) # label("p9loop 0 8518 ID<6050875>"). [assumption]. 8790 L(x,y,a(z,u,a(x,w,v5))) = x # label("p9loop 0 8519 ID<6112580>"). [assumption]. 8791 a(x,y,a(z,u,a(w,v5,x))) = 1 # label("p9loop 0 8520 ID<6114262>"). [assumption]. 8796 a(x,y,z) \ a(z,u,a(x,y,w)) = L(a(x,y,z) \ 1,u,w) # label("p9loop 0 8525 ID<6225410>"). [assumption]. 8798 a(x,y,a(z,u,w)) = a(w,y,a(z,u,x)) # label("p9loop 0 8527 ID<6176395>"). [assumption]. 8799 a(x,y,a(z,u,w)) * a(w,y,x) = a(w,y,L(x,u,z)) # label("p9loop 0 8528 ID<6202242>"). [assumption]. 8806 x * a(y,z,a(u,w,x)) = L(x,w,a(u,z,y)) # label("p9loop 0 8535 ID<6138957>"). [assumption]. 8808 a(x,y,a(z,u,w)) = a(w,y,a(x,u,z)) # label("p9loop 0 8537 ID<6138867>"). [assumption]. 8809 a(x * y,z,a(u,w,v5)) = a(u,w,a(v5,z,y * x)) # label("p9loop 0 8538 ID<6167176>"). [assumption]. 8810 a(x,y,a(z,u,w)) = a(z,u,a(x,y,w)) # label("p9loop 0 8539 ID<6142992>"). [assumption]. 8811 a(x,y,a(z,u,w)) = a(w,u,a(x,y,z)) # label("p9loop 0 8540 ID<6138706>"). [assumption]. 8813 a(x,y,L(z,x,a(u,w,w))) = a(x,y,z) # label("p9loop 0 8542 ID<6050761>"). [assumption]. 8816 a(x,y,L(z,x * u,x * u)) = a((x \ u) * u,y,z) # label("p9loop 0 8545 ID<6100356>"). [assumption]. 8817 a(x \ (y \ x),z,u) = a(y,z,L(u,y,x)) # label("p9loop 0 8546 ID<6096603>"). [assumption]. 8819 a(x,y,z \ (x \ (z * u))) = a(x,y,z \ ((x \ z) * u)) # label("p9loop 0 8548 ID<6243658>"). [assumption]. 8822 a(x,y,L(z,u,z * (u * a(x,y,z)))) = u * ((a(x,y,z) \ u) \ 1) # label("p9loop 0 8551 ID<6245887>"). [assumption]. 8825 R(x,y,L(z,u,x)) = R(x,y,z) # label("p9loop 0 8554 ID<6221403>"). [assumption]. 8826 R(x,y,(x \ z) \ u) = R(x,y,z \ (x * u)) # label("p9loop 0 8555 ID<6248751>"). [assumption]. 8828 a(x * (y * z),u,L(w,x,z * y)) = a(x \ (z * y),u,w) # label("p9loop 0 8557 ID<6094311>"). [assumption]. 8829 a(x * ((y * z) * u),w,L(v5,x,u * (z * y))) = a(x \ (u * (z * y)),w,v5) # label("p9loop 0 8558 ID<6254225>"). [assumption]. 8834 a(x,y,L(z,x,u * x)) = a(x,y,L(z,x,u)) # label("p9loop 0 8563 ID<6101349>"). [assumption]. 8836 a(x * y,z,L(u,y,x)) = a(y \ x,z,u) # label("p9loop 0 8565 ID<6086234>"). [assumption]. 8839 a((x * y) \ (y * z),u,w) = a(x \ z,u,L(w,x,y)) # label("p9loop 0 8568 ID<6082219>"). [assumption]. 8841 a(x \ (y \ z),u,x \ (y \ w)) = a(y \ (x \ z),u,y \ (x \ w)) # label("p9loop 0 8570 ID<6263779>"). [assumption]. 8842 a(x * y,z,L(u,x,y)) = a(x \ y,z,u) # label("p9loop 0 8571 ID<6094093>"). [assumption]. 8843 a((x * y) \ z,u,L(w,y,x)) = a(y \ (x \ z),u,w) # label("p9loop 0 8572 ID<6086087>"). [assumption]. 8844 a(x \ (y \ z),u,a(w,w,y)) = a(y * (x \ z),u,a(w,w,y)) # label("p9loop 0 8573 ID<6266435>"). [assumption]. 8845 a(x * y,z,L(u,y,y)) = a(y \ x,z,u) # label("p9loop 0 8574 ID<6096214>"). [assumption]. 8846 a(x \ y,z,a(u,w,z)) = a(y * x,w,a(z,z,u)) # label("p9loop 0 8575 ID<6267185>"). [assumption]. 8849 a(x \ y,z,a(u,u,w)) = a(y * x,z,a(u,u,w)) # label("p9loop 0 8578 ID<6267172>"). [assumption]. 8850 a((x * (y * (z * (x * y)))) * (x * y),u,w) = a(y \ (x \ z),u,w) # label("p9loop 0 8579 ID<6267181>"). [assumption]. 8851 a(x,y,L(z,u,u)) * (u \ 1) = u \ a(x,y,z) # label("p9loop 0 8580 ID<6081636>"). [assumption]. 8852 a(x,y,L((x \ z) \ u,w,v5)) = a(x,y,L(z \ (x * u),w,v5)) # label("p9loop 0 8581 ID<6221340>"). [assumption]. 8855 a(x,y,a((x * z) \ u,w,v5)) = a(x,y,a(z \ (x \ u),w,v5)) # label("p9loop 0 8584 ID<6276109>"). [assumption]. 8858 a(x,y,(x \ z) \ u) = a(x,y,z \ (x * u)) # label("p9loop 0 8587 ID<6221334>"). [assumption]. 8861 a(x,y,L(L(z,u,x),w,v5)) = a(x,y,L(z,w,v5)) # label("p9loop 0 8590 ID<6101875>"). [assumption]. 8862 a(x,y,(z * x) \ u) = a(x,y,z \ (x \ u)) # label("p9loop 0 8591 ID<6221267>"). [assumption]. 8863 a(x,y,(x * z) \ u) = a(x,y,z \ (x \ u)) # label("p9loop 0 8592 ID<6221268>"). [assumption]. 8864 a(x,y,L(z,u,w * u)) * w = (w / u) * (u * a(x,y,z)) # label("p9loop 0 8593 ID<6071540>"). [assumption]. 8865 a(x,y,L(z,u,w)) \ (w * u) = w * (a(x,y,z) \ u) # label("p9loop 0 8594 ID<6067832>"). [assumption]. 8866 a(x,y,L(z,u,w)) \ 1 = L(a(x,y,z) \ 1,u,w) # label("p9loop 0 8595 ID<6038417>"). [assumption]. 8867 a(x,y,L(z,u,L(x,w,v5))) = a(x,y,z) # label("p9loop 0 8596 ID<6050871>"). [assumption]. 8869 a(x,y,L(z,u,a(x,w,v5))) = a(x,y,z) # label("p9loop 0 8598 ID<6187675>"). [assumption]. 8870 a(L(x,y,z),u,w) = a(x,u,L(w,y,z)) # label("p9loop 0 8599 ID<6038502>"). [assumption]. 8871 L(a(x,y,z),u,w) = a(x,y,L(z,u,w)) # label("p9loop 0 8600 ID<6038415>"). [assumption]. 8874 a(x * (y * L(y,z,u)),w,v5) = a(a(u,z,y) * x,w,v5) # label("p9loop 0 8603 ID<6213747>"). [assumption]. 8881 L(x,y,z * L(z,u,w)) = L(x,y,a(w,u,z)) # label("p9loop 0 8610 ID<6041645>"). [assumption]. 8891 a(x,a(y,z,x),u) = a(x,x,a(y,z,u)) # label("p9loop 0 8620 ID<6003928>"). [assumption]. 8892 L(x,y,a(z,u,a(w,v5,x))) = x # label("p9loop 0 8621 ID<6122737>"). [assumption]. 8893 L(x,y,L(z,u,x)) = L(x,y,z) # label("p9loop 0 8622 ID<6179466>"). [assumption]. 8894 a(x,y,a(z,u,a(w,x,u))) = 1 # label("p9loop 0 8623 ID<6211141>"). [assumption]. 8895 L(x,y,L(z,x,y)) = a(z,y,x) \ x # label("p9loop 0 8624 ID<6122342>"). [assumption]. 8897 R(x,y \ (x \ y),z) = R(x,x \ 1,z) # label("p9loop 0 8627 ID<5630463>"). [assumption]. 8899 a(x,y,a(z,u,u)) = a(z,u,a(u,y,x)) # label("p9loop 0 8631 ID<5682680>"). [assumption]. 8902 a(x,a(y,z,u),w) = a(w,a(u,z,y),x) # label("p9loop 0 8636 ID<5778964>"). [assumption]. 8903 a(x,a(y,z,u),w) = a(w,a(y,z,u),x) # label("p9loop 0 8637 ID<5790221>"). [assumption]. 8908 1 / (x * a(y,z,u)) = a(y,z,u) \ (1 / x) # label("p9loop 0 8643 ID<6308948>"). [assumption]. 8909 1 / (a(x,y,z) * u) = a(x,y,z) \ (1 / u) # label("p9loop 0 8644 ID<6311054>"). [assumption]. 8910 (x * a(y,z,u)) \ 1 = a(y,z,u) \ (x \ 1) # label("p9loop 0 8645 ID<6310264>"). [assumption]. 8911 a(x,y,L(z,u,L(z,y,x) * u)) = a(x,y,L(z,u,u)) # label("p9loop 0 8646 ID<6307914>"). [assumption]. 8912 L(x,y,x * (z * a(u,w,x))) = L(x,y,L(x,w,u) * z) # label("p9loop 0 8647 ID<6307313>"). [assumption]. 8914 x * L(x \ L(x,y,z),u,w) = L(x,y,L(z,u,w)) # label("p9loop 0 8649 ID<6112444>"). [assumption]. 8915 x \ L(x,y,L(z,u,w)) = L(x \ L(x,y,z),u,w) # label("p9loop 0 8650 ID<6124997>"). [assumption]. 8919 a(x,y,z) \ (u * a(x,w,v5)) = (a(x,y,z) \ u) * a(x,w,v5) # label("p9loop 0 8654 ID<6285122>"). [assumption]. 8920 a((x * y) \ z,u,x) = a(y \ (x \ z),u,x) # label("p9loop 0 8655 ID<6265273>"). [assumption]. 8928 L(L(x,y,a(z,z,u)),y,z * u) = L(x,y,z \ u) # label("p9loop 0 8663 ID<6333487>"). [assumption]. 8930 L(L(x,y,a(z,u,w)),u,z) = L(x,u,L(z,y,w)) # label("p9loop 0 8665 ID<6333863>"). [assumption]. 8936 ((x / y) * L(y,z,L(u,w,v5))) \ (x * L(y,z,u)) = L(y,z,a(u,w,v5)) # label("p9loop 0 8671 ID<6339261>"). [assumption]. 8937 L(L(x,y,a(z,u,w)),y,z) = L(x,y,L(z,u,w)) # label("p9loop 0 8672 ID<6333825>"). [assumption]. 8943 a(x,y,a(z,z,u)) = a(z,z,a(u,y,x)) # label("p9loop 0 8680 ID<6011477>"). [assumption]. 8946 L(x,a(y,z,x),u) = L(x,x,a(y,z,u)) # label("p9loop 0 8683 ID<6003954>"). [assumption]. 8947 x \ L(x,y,a(z,u,w)) = a(x,y,a(w,u,z)) # label("p9loop 0 8684 ID<6002286>"). [assumption]. 8950 L(x * (L(x,y,a(z,u,w)) \ v5),L(x,y,a(w,u,z)),v6) = (v6 * L(x,y,a(w,u,z))) \ (v6 * (x * v5)) # label("p9loop 0 8687 ID<6356689>"). [assumption]. 8954 L(x,y,z) * a(u,w,L(x,y,z)) = L(x * a(u,w,x),y,z) # label("p9loop 0 8691 ID<6359419>"). [assumption]. 8955 L(x,y,z) * a(z,u,x) = L(x * a(z,u,x),y,z) # label("p9loop 0 8692 ID<6360858>"). [assumption]. 8957 a(x * y,z,a(u,u,w)) = a(u,z,a(w,u,x \ y)) # label("p9loop 0 8694 ID<6363893>"). [assumption]. 8959 a(x,y,L(z,u,w)) * L(z,u,w) = L(z * a(x,y,z),u,w) # label("p9loop 0 8696 ID<6359833>"). [assumption]. 8960 a(x,y,a(z,u,w)) * v5 = a(z,y,a(x,u,w)) * v5 # label("p9loop 0 8697 ID<6139366>"). [assumption]. 8961 a(x,a(x,y,z),u) = a(x,x,a(z,y,u)) # label("p9loop 0 8698 ID<6020779>"). [assumption]. 8965 L(1 / x,y,L(z,u,x)) = L(1 / x,y,z) # label("p9loop 0 8702 ID<6299792>"). [assumption]. 8968 a(x,y,L(z,u,z * u)) = a(x,y,L(z,u,u)) # label("p9loop 0 8705 ID<6071185>"). [assumption]. 8973 a(x,y,a(z,u,w)) * a(z,a(x,y,w),u) = a(u,z,a(x,y,w)) # label("p9loop 0 8710 ID<6209657>"). [assumption]. 8975 a(x * a(y,z,x),u,w) = a(x,u,L(w,z,y)) # label("p9loop 0 8712 ID<6215861>"). [assumption]. 8981 L(x,y,a(z,u,w) * v5) = L(x,y,a(w,u,z) * v5) # label("p9loop 0 8718 ID<5536985>"). [assumption]. 8982 a(a(x,y,z),u,w) = a(x,y,a(z,u,w)) # label("p9loop 0 8719 ID<6138698>"). [assumption]. 8992 a(x,y,a(z,u,w)) * a(w,a(x,y,z),u) = a(x,y,a(z,w,u)) # label("p9loop 0 8730 ID<6168797>"). [assumption]. 8999 a(x,y,L(z,x,x) \ u) = a(x,y,z \ L(u,x,x)) # label("p9loop 0 8737 ID<6395979>"). [assumption]. 9006 a(x,y,L(z,y,a(y,u,w))) = a(x,y,z) # label("p9loop 0 8744 ID<5893641>"). [assumption]. 9007 a(x,y,(y \ 1) * z) = a(x,y,y \ z) # label("p9loop 0 8745 ID<5895238>"). [assumption]. 9008 a(x,y,z * (y \ 1)) = a(x,y,y \ z) # label("p9loop 0 8746 ID<5895257>"). [assumption]. 9009 R(x,y,(y \ 1) * z) = R(x,y,y \ z) # label("p9loop 0 8747 ID<5895381>"). [assumption]. 9012 a(x,y,a(y,z,u)) = a(y,y,a(u,z,x)) # label("p9loop 0 8760 ID<6020631>"). [assumption]. 9018 ((x * L(x,y,z)) \ 1) * u = (x * L(x,y,z)) \ u # label("p9loop 0 8767 ID<5225009>"). [assumption]. 9020 (R(x,y,z) \ x) \ u = (x \ R(x,y,z)) * u # label("p9loop 0 8769 ID<5224130>"). [assumption]. 9022 (x * y) * L(z,y,L(x,u,w)) = x * (y * L(z,y,a(x,u,w))) # label("p9loop 0 8771 ID<6178407>"). [assumption]. 9029 x * (y * (L(y,x,z) \ y)) = (x * y) * a(z,x,y) # label("p9loop 0 8778 ID<5635305>"). [assumption]. 9033 ((x * y) / (z * y)) \ (x / z) = a(x \ z,z,y) \ 1 # label("p9loop 0 8782 ID<5518657>"). [assumption]. 9035 (a(x,y,z) * u) \ 1 = a(x,y,z) \ (u \ 1) # label("p9loop 0 8784 ID<6310080>"). [assumption]. 9040 L(x \ L(x,y,z),u,w) \ v5 = v5 * L(L(x,y,z) \ x,u,w) # label("p9loop 0 8789 ID<5769690>"). [assumption]. 9048 a(x,y,a(z,u,L(w,x,y))) = a(x,y,a(z,u,w)) # label("p9loop 0 8798 ID<6039496>"). [assumption]. 9049 a(x,y,a(z,u,w)) * a(z,u,x) = a(z,u,L(x,y,w)) # label("p9loop 0 8799 ID<6187569>"). [assumption]. 9050 (1 / ((x * y) \ x)) * z = y * (a(x,y,y \ 1) * z) # label("p9loop 0 8800 ID<5587542>"). [assumption]. 9058 L(L(x,y,a(z,u,w)),u,a(z,y,w)) = x # label("p9loop 0 8808 ID<6191294>"). [assumption]. 9059 x \ ((a(x,y,z) \ x) * u) = x * ((x * a(x,y,z)) \ u) # label("p9loop 0 8809 ID<5960904>"). [assumption]. 9060 L(x,y \ x,a(z,u,w)) = L(x,x * y,a(w,u,z)) # label("p9loop 0 8810 ID<6354196>"). [assumption]. 9061 L(x,y,L(z,u \ w,u)) = L(x,y,L(z,u * w,u)) # label("p9loop 0 8811 ID<6179302>"). [assumption]. 9067 a(x,y,z \ ((z \ 1) \ u)) = a(x,y,L(u,z,z)) # label("p9loop 0 8819 ID<5431386>"). [assumption]. 9068 a(x,y,L(L(z \ 1,u,w) * v5,z,z)) = a(x,y,L(z,u,w) \ v5) # label("p9loop 0 8820 ID<6472648>"). [assumption]. 9072 (x * ((y * x) \ (y * z))) \ z = a(y,x,x \ z) # label("p9loop 0 8824 ID<5540585>"). [assumption]. 9078 (x * a(x,y,z)) * (x \ u) = x * ((a(x,y,z) \ x) \ u) # label("p9loop 0 8830 ID<6235374>"). [assumption]. 9079 L(x,y,(z \ u) * L(z,w,v5)) = L(x,y,z * (L(z,w,v5) \ u)) # label("p9loop 0 8831 ID<5218132>"). [assumption]. 9085 a(x,a(y,z,u),a(y,z,u) * w) = a(w,a(y,z,u),x * a(y,z,u)) # label("p9loop 0 8838 ID<5795399>"). [assumption]. 9087 a(x,y \ 1,L(y \ 1,y,z)) = a(x,y \ 1,y \ 1) # label("p9loop 0 8840 ID<5397527>"). [assumption]. 9090 a(x,y,a(z,u,w)) * w = L(w,u,a(z,y,x)) # label("p9loop 0 8843 ID<6138945>"). [assumption]. 9105 L(x,(y \ R(z,u,w)) * v5,v6) = L(x,(y \ L(z,u,w)) * v5,v6) # label("p9loop 0 8858 ID<5631640>"). [assumption]. 9106 L(x,y * a(z,u,w),v5) = L(x,y * a(w,u,z),v5) # label("p9loop 0 8859 ID<5885253>"). [assumption]. 9107 L(x,a(y,z,u) * u,w) = L(x,L(u,z,y),w) # label("p9loop 0 8860 ID<6395666>"). [assumption]. 9109 L(x,a(x,y,z),u) = L(x,x,a(z,y,u)) # label("p9loop 0 8864 ID<6043667>"). [assumption]. 9111 a(x,y,(z \ 1) \ x) = a(x,y,x * z) # label("p9loop 0 8867 ID<6085732>"). [assumption]. 9112 a(x,y,(z \ x) \ 1) = a(x,y,x \ z) # label("p9loop 0 8868 ID<6131337>"). [assumption]. 9113 a(x,y,x \ (z \ x)) = a(x,y,z \ 1) # label("p9loop 0 8869 ID<6131418>"). [assumption]. 9114 a(x,y,a(z,z,u)) = a(z,y,a(u,z,x)) # label("p9loop 0 8871 ID<6173708>"). [assumption]. 9119 L(x,y,L(z,u,L(x,w,v5))) = L(x,y,z) # label("p9loop 0 8876 ID<6294740>"). [assumption]. 9120 L(x,y,L(z,u,a(x,w,v5))) = L(x,y,z) # label("p9loop 0 8877 ID<6337436>"). [assumption]. 9125 a(x,y,L(z,u,w \ x)) = a(x,y,L(z,u,x * w)) # label("p9loop 0 8882 ID<6507720>"). [assumption]. 9127 L(x,y,L(z,u,w) * (z \ v5)) = L(x,y,z * (L(z,u,w) \ v5)) # label("p9loop 0 8884 ID<5216278>"). [assumption]. 9130 L(x,y,z) * L(x,y,z) = x * L(L(x,y,z),y,z) # label("p9loop 0 8887 ID<6315290>"). [assumption]. 9131 L(x,y,z) \ ((x * L(L(x,y,z),y,z)) * u) = (1 / L(x,y,z)) \ u # label("p9loop 0 8888 ID<6518485>"). [assumption]. 9134 a(x * (a(y,z,u) \ w),v5,v6) = a(x * (w * a(y,z,u)),v5,v6) # label("p9loop 0 8891 ID<5350234>"). [assumption]. 9137 a(x,y,L(z,u,w)) * (w * u) = w * (u * a(x,y,z)) # label("p9loop 0 8894 ID<6083119>"). [assumption]. 9150 L(x,(y \ z) \ 1,y \ z) = L(x,z \ y,y \ z) # label("p9loop 0 8908 ID<5272107>"). [assumption]. 9151 L(x,y \ L(y,z,u),w) = L(x,a(u,z,y),w) # label("p9loop 0 8909 ID<6103408>"). [assumption]. 9152 L(x,x \ y,z) * (x \ y) = a(z,x \ y,x) \ y # label("p9loop 0 8910 ID<5560883>"). [assumption]. 9158 L(x,y,z) * (x \ L(x,u,z)) = L(L(x,u,z),y,z) # label("p9loop 0 8916 ID<5879317>"). [assumption]. 9164 a(x,y,L(z * u,u,u)) = a(x,y,(u \ 1) \ z) # label("p9loop 0 8922 ID<5907043>"). [assumption]. 9165 a(x,y,z * u) \ a(x,y,(u \ 1) \ z) = a(x,y,a(z,u,u)) # label("p9loop 0 8923 ID<6554649>"). [assumption]. 9166 x \ (L(y / x,y,z) \ y) = a(z,y,x \ y) # label("p9loop 0 8924 ID<5545020>"). [assumption]. 9167 a(x,y,a(z,u \ w,w)) = a(x,y,a(z,w * u,w)) # label("p9loop 0 8925 ID<6556991>"). [assumption]. 9169 a(x,y,a(x * z,u,u)) = a(u,y,a(x,u,z)) # label("p9loop 0 8927 ID<6366731>"). [assumption]. 9181 R(x,y,L(z,u,w)) \ x = L(R(x,y,z) \ x,u,w) # label("p9loop 0 8939 ID<6110017>"). [assumption]. 9184 L(a(x,y,z) * u,z,a(z,y,x)) = z * ((a(x,y,z) \ z) \ u) # label("p9loop 0 8942 ID<5883513>"). [assumption]. 9186 (x * y) * a(z,u,a(w,v5,x)) = x * (y * a(z,u,a(w,v5,x))) # label("p9loop 0 8944 ID<5379082>"). [assumption]. 9187 a(x,y,z) * L(z,u,z) = L(z * a(x,y,z),u,z) # label("p9loop 0 8945 ID<6181224>"). [assumption]. 9195 a(x,x \ y,a(z,u,w)) = a(x,x * y,a(z,u,w)) # label("p9loop 0 8953 ID<5705730>"). [assumption]. 9196 a(x,y,L(z,u \ w,w)) = a(x,y,L(z,w * u,w)) # label("p9loop 0 8954 ID<6517736>"). [assumption]. 9200 a(x,y,L(z,u \ w,u)) = a(x,y,L(z,u * w,u)) # label("p9loop 0 8958 ID<6068554>"). [assumption]. 9203 a(x,y,L(y,z * x,u)) = a(x,y,L(y,z,u)) # label("p9loop 0 8961 ID<6780216>"). [assumption]. 9206 a(x,x,y) \ (z \ y) = z \ L(y,x,x) # label("p9loop 0 8964 ID<6805856>"). [assumption]. 9210 a(x,y \ (a(z,z,u) * (w \ u)),v5) = a(x,y \ (w \ L(u,z,z)),v5) # label("p9loop 0 8968 ID<6808176>"). [assumption]. 9211 a(x,L(y,y,z) \ (u \ z),w) = a(x,y \ (u \ L(z,y,y)),w) # label("p9loop 0 8969 ID<6809900>"). [assumption]. 9212 L(x,y,a(z,z,u) * (w \ u)) = L(x,y,w \ L(u,z,z)) # label("p9loop 0 8970 ID<6807543>"). [assumption]. 9213 a(x,a(y,y,z) * (u \ z),w) = a(x,u \ L(z,y,y),w) # label("p9loop 0 8971 ID<6809749>"). [assumption]. 9214 a(x,a(y,y,z) * (u \ (y \ z)),w) = a(x,u \ ((y \ 1) * z),w) # label("p9loop 0 8972 ID<6811813>"). [assumption]. 9215 a(x,(y \ (z \ u)) * a(z,z,u),w) = a(x,y \ ((z \ 1) * u),w) # label("p9loop 0 8973 ID<6812052>"). [assumption]. 9216 a(x,x,y) * (z \ L(y,x,x)) = z \ y # label("p9loop 0 8974 ID<6805854>"). [assumption]. 9217 a(x,y,a(x,x,y) * z) = a(x,y,z) # label("p9loop 0 8975 ID<6768910>"). [assumption]. 9218 (x * y) * (a(x,x,y) * z) = ((1 / x) \ y) * z # label("p9loop 0 8976 ID<6683680>"). [assumption]. 9220 R(x,L(y,x,x),z) = R(x,y,z) # label("p9loop 0 8978 ID<6733117>"). [assumption]. 9221 a(x,L(y,x,x),z) = a(x,y,z) # label("p9loop 0 8979 ID<6682538>"). [assumption]. 9224 a(x,x,a(y,z,z)) = 1 # label("p9loop 0 8982 ID<6592032>"). [assumption]. 9225 a(x,y,a(z,x,y)) = 1 # label("p9loop 0 8983 ID<6592036>"). [assumption]. 9227 a(x,y,a(y,x,z)) = 1 # label("p9loop 0 8985 ID<6592233>"). [assumption]. 9228 a(x,x,a(y,y,z)) = 1 # label("p9loop 0 8986 ID<6592265>"). [assumption]. 9229 L(x,y,a(z,z,y)) = x # label("p9loop 0 8987 ID<6592698>"). [assumption]. 9230 L(x,y,a(y,z,z)) = x # label("p9loop 0 8988 ID<6592702>"). [assumption]. 9231 L(x,x,a(y,z,z)) = x # label("p9loop 0 8989 ID<6592776>"). [assumption]. 9232 L(x,x,a(y,y,z)) = x # label("p9loop 0 8990 ID<6593089>"). [assumption]. 9233 L(x,y,a(y,x,z)) = x # label("p9loop 0 8991 ID<6593090>"). [assumption]. 9234 x \ R(x,y,z) = a(x,y,z) # label("p9loop 0 8992 ID<6591867>"). [assumption]. 9235 a(x,y,z) * x = R(x,y,z) # label("p9loop 0 8993 ID<6592018>"). [assumption]. 9236 a(x,y,z) \ z = L(z,y,x) # label("p9loop 0 8994 ID<6592266>"). [assumption]. 9237 L(x,y,z) \ x = a(z,y,x) # label("p9loop 0 8995 ID<6592297>"). [assumption]. 9238 x * a(x,y,z) = R(x,y,z) # label("p9loop 0 8996 ID<6593368>"). [assumption]. 9239 L(x,y,a(y,y * x,z)) = x # label("p9loop 0 8997 ID<6697292>"). [assumption]. 9240 a(x,y,L(y,z,z)) = a(x,y,y) # label("p9loop 0 8998 ID<6592324>"). [assumption]. 9241 a(x,x,L(y,z,z)) = a(x,x,y) # label("p9loop 0 8999 ID<6592525>"). [assumption]. 9242 a(x,x,L(y,y,z)) = a(x,x,y) # label("p9loop 0 9000 ID<6592594>"). [assumption]. 9244 ((x \ y) * z) \ (x \ y) = ((x * y) * z) \ (x * y) # label("p9loop 0 9002 ID<6791610>"). [assumption]. 9245 a(x,y,((z * u) \ (w \ (z * u))) * (z \ u)) = a(x,y,w \ (z \ u)) # label("p9loop 0 9003 ID<6841995>"). [assumption]. 9247 a(x,x,y) \ (y / z) = L(y,x,x) / z # label("p9loop 0 9005 ID<6745676>"). [assumption]. 9248 L(x,y,y) \ (L(x,y,y) / z) = x \ (x / z) # label("p9loop 0 9006 ID<6845771>"). [assumption]. 9249 (L(x,y,y) / z) * a(y,y,x) = x / z # label("p9loop 0 9007 ID<6844990>"). [assumption]. 9255 a(a(x,y,y) * (z \ (x * y)),u,w) = a(z \ (y \ x),u,w) # label("p9loop 0 9013 ID<6850844>"). [assumption]. 9260 (x * a(y,y,z)) \ z = x \ L(z,y,y) # label("p9loop 0 9018 ID<6843962>"). [assumption]. 9261 a(x,y,z \ L(u * w,u,u)) = a(x,y,z \ ((u \ 1) \ w)) # label("p9loop 0 9019 ID<6855449>"). [assumption]. 9262 a(x,y,a(z,z,u) * (w \ u)) = a(x,y,w \ L(u,z,z)) # label("p9loop 0 9020 ID<6855977>"). [assumption]. 9263 a(x,y,(a(z,z,u) * (w \ u)) * v5) = a(x,y,(w \ L(u,z,z)) * v5) # label("p9loop 0 9021 ID<6856697>"). [assumption]. 9265 L(x \ 1,x,L(y,z,z)) = L(x \ 1,x,y) # label("p9loop 0 9023 ID<6808019>"). [assumption]. 9266 L(x,y,L(z,z,y)) = L(x,y,z) # label("p9loop 0 9024 ID<6649217>"). [assumption]. 9267 L(x,x,L(y,z,z)) = L(x,x,y) # label("p9loop 0 9025 ID<6595086>"). [assumption]. 9271 a(x,x,L(y,z * y,u)) = a(x,x,L(y,z,u)) # label("p9loop 0 9029 ID<6758450>"). [assumption]. 9275 (a(x,y * x,z) \ y) * z = y * L(z,y * x,x) # label("p9loop 0 9033 ID<6608069>"). [assumption]. 9276 a(x,y * x,L(z,y,y)) = a(x,y * x,z) # label("p9loop 0 9034 ID<6610899>"). [assumption]. 9277 a(x,L(y,y,z),z) = a(x,y,z) # label("p9loop 0 9035 ID<6711480>"). [assumption]. 9281 x \ ((x / y) * R(y,z,u)) = a(y,z,L(u,y,x)) # label("p9loop 0 9039 ID<6602279>"). [assumption]. 9284 (x * y) * (z * a(y,y,z)) = (x * R(y,y,z)) * z # label("p9loop 0 9042 ID<6685421>"). [assumption]. 9285 a(x \ y,y,z) = a(y * x,y,z) # label("p9loop 0 9043 ID<6620264>"). [assumption]. 9287 L(x,y,y) * (z * a(y,y,x)) = x * z # label("p9loop 0 9045 ID<6648004>"). [assumption]. 9288 (a(x,x,y) \ z) * y = z * L(y,x,x) # label("p9loop 0 9046 ID<6593288>"). [assumption]. 9290 a(x,x,y) * (L(y,x,x) * z) = y * z # label("p9loop 0 9048 ID<6593470>"). [assumption]. 9291 a(x,x,y) \ (z \ a(x,x,y)) = z \ 1 # label("p9loop 0 9049 ID<6592693>"). [assumption]. 9293 a(x,x,y) \ ((z \ 1) \ 1) = (z \ a(x,x,y)) \ 1 # label("p9loop 0 9051 ID<6895861>"). [assumption]. 9294 L(x,y,z) * R(z,y,x) = x * z # label("p9loop 0 9052 ID<6869601>"). [assumption]. 9299 a(x,x,y) * (z \ 1) = z \ a(x,x,y) # label("p9loop 0 9057 ID<6681849>"). [assumption]. 9300 L(a(x,x,y) \ 1,z,z) = a(x,x,y) \ 1 # label("p9loop 0 9058 ID<6592608>"). [assumption]. 9303 (x * y) * a(z,z,y) = x * (y * a(z,z,y)) # label("p9loop 0 9061 ID<6634008>"). [assumption]. 9304 L(x,y,y) * (x \ z) = a(y,y,x) \ z # label("p9loop 0 9062 ID<6672958>"). [assumption]. 9305 (x \ 1) * a(y,y,z) = x \ a(y,y,z) # label("p9loop 0 9063 ID<6681682>"). [assumption]. 9307 a(x,y,z) * (y * z) = y * (z * a(x,y,z)) # label("p9loop 0 9065 ID<6593064>"). [assumption]. 9308 x * (L(x,y,z) \ (u * x)) = u * (x * a(z,y,x)) # label("p9loop 0 9066 ID<6592859>"). [assumption]. 9314 x * (y * (z * a(x,y,z))) = (x * y) * z # label("p9loop 0 9072 ID<6592914>"). [assumption]. 9315 x * (y \ L(y,z,u)) = a(u,z,y) \ x # label("p9loop 0 9073 ID<6593108>"). [assumption]. 9316 a(x,y,z) \ 1 = z \ L(z,y,x) # label("p9loop 0 9074 ID<6592280>"). [assumption]. 9317 a(x,y,(z \ 1) \ y) = a(x,y,y * z) # label("p9loop 0 9075 ID<6638180>"). [assumption]. 9319 (a(x,y,z) * z) \ (z * u) = L(z,y,x) * (z \ u) # label("p9loop 0 9077 ID<6644026>"). [assumption]. 9323 a(x,L(L(y,z,u),z,u),w) = a(x,y,w) # label("p9loop 0 9081 ID<6657342>"). [assumption]. 9324 L(x,L(L(y,z,u),z,u),w) = L(x,y,w) # label("p9loop 0 9082 ID<6934442>"). [assumption]. 9331 (x / y) * R(y,z,z) = a(y,z,z) * x # label("p9loop 0 9089 ID<6633142>"). [assumption]. 9337 L(x * a(y,z,x),z,L(y,u,w)) = L(x,z,a(y,u,w)) # label("p9loop 0 9095 ID<6600096>"). [assumption]. 9338 L(x,y \ (z \ y),y) = L(x,z \ 1,y) # label("p9loop 0 9096 ID<6906182>"). [assumption]. 9339 R(x,y,z) \ x = a(x,y,z) \ 1 # label("p9loop 0 9097 ID<6591777>"). [assumption]. 9341 x * (R(x,y,z) \ z) = L(z,y,x) # label("p9loop 0 9099 ID<6651472>"). [assumption]. 9342 R(x,y,z) \ z = x \ L(z,y,x) # label("p9loop 0 9100 ID<6945644>"). [assumption]. 9343 L(x,y,L(y,z,z)) = L(x,y,y) # label("p9loop 0 9101 ID<6592811>"). [assumption]. 9344 L(x,L(y,z,z),z) = L(x,y,z) # label("p9loop 0 9102 ID<6682539>"). [assumption]. 9345 L(x,L(y,x,z),z) = L(x,y,z) # label("p9loop 0 9103 ID<6906579>"). [assumption]. 9346 R(x \ 1,y,z) = x \ a(x,y,z) # label("p9loop 0 9104 ID<6592040>"). [assumption]. 9347 R(x,y,z) \ a(x,y,z) = x \ 1 # label("p9loop 0 9105 ID<6592046>"). [assumption]. 9348 R(1 / x,y,z) = a(x,y,z) / x # label("p9loop 0 9106 ID<6592164>"). [assumption]. 9349 L(x \ 1,x,a(y,y,z)) = x \ 1 # label("p9loop 0 9107 ID<6592757>"). [assumption]. 9350 a((x \ y) * y,y,z) = a(x,y,z) # label("p9loop 0 9108 ID<6592837>"). [assumption]. 9351 L(x,y,(z \ y) * y) = L(x,y,z) # label("p9loop 0 9109 ID<6602198>"). [assumption]. 9352 L(x * y,z,a(z,x,y)) = x * y # label("p9loop 0 9110 ID<6604389>"). [assumption]. 9354 L(x,y,z) \ 1 = x \ a(z,y,x) # label("p9loop 0 9112 ID<6607928>"). [assumption]. 9355 a(x,y,z) / z = 1 / L(z,y,x) # label("p9loop 0 9113 ID<6614445>"). [assumption]. 9357 R(x,y,z) \ x = z \ L(z,y,x) # label("p9loop 0 9115 ID<6616250>"). [assumption]. 9359 L(x,y,z \ y) = L(x,y,y * z) # label("p9loop 0 9117 ID<6650312>"). [assumption]. 9360 (R(x,y,z) / z) * L(z,y,x) = x # label("p9loop 0 9118 ID<6898572>"). [assumption]. 9361 (L(x,y,z) / z) * R(z,y,x) = x # label("p9loop 0 9119 ID<6900752>"). [assumption]. 9362 R(x,y,z) * L(z,y,x) = x * z # label("p9loop 0 9120 ID<6902111>"). [assumption]. 9363 L(x,(y \ 1) * L(z,y,y),u) = L(x,y \ z,u) # label("p9loop 0 9121 ID<6967100>"). [assumption]. 9364 R(x,y,L(z,u,w) \ 1) = R(x,y,L(z \ 1,u,w)) # label("p9loop 0 9122 ID<6963269>"). [assumption]. 9365 a(x,y,y \ 1) * ((x * y) \ z) = (x / (y \ 1)) \ z # label("p9loop 0 9123 ID<6769780>"). [assumption]. 9367 x * ((a(y,z,x) * x) \ u) = L(x,z,y) * (x \ u) # label("p9loop 0 9125 ID<6592385>"). [assumption]. 9369 a(x * y,L(x,y,y),a(z,u,w)) = a(w,u,a(x * y,x,z)) # label("p9loop 0 9127 ID<6734635>"). [assumption]. 9372 (x / y) \ (x * z) = y * (z * a(y * x,y,z)) # label("p9loop 0 9130 ID<6633007>"). [assumption]. 9373 (x \ L(x,y,z)) * u = a(z,y,x) \ u # label("p9loop 0 9131 ID<6592222>"). [assumption]. 9376 x \ (y \ ((y * x) * z)) = z * a(y,x,z) # label("p9loop 0 9134 ID<6592850>"). [assumption]. 9380 a(x,y,L(z,z,u)) \ u = L(z,y,x) * (z \ u) # label("p9loop 0 9138 ID<6599219>"). [assumption]. 9381 x \ ((x * y) * z) = y * (z * a(x,y,z)) # label("p9loop 0 9139 ID<6592963>"). [assumption]. 9382 x \ (y \ ((y * x) * z)) = a(y,x,z) * z # label("p9loop 0 9140 ID<6593586>"). [assumption]. 9383 x \ (L(y,z,u) * (y \ x)) = L(a(u,z,y) \ 1,y,x) # label("p9loop 0 9141 ID<6603262>"). [assumption]. 9384 L(x * y,x,a(x,z,u)) = L(x,z,u) * (y * a(u,z,x)) # label("p9loop 0 9142 ID<6633534>"). [assumption]. 9385 R(x,y,y \ (z \ y)) = R(x,y,z \ 1) # label("p9loop 0 9143 ID<6701026>"). [assumption]. 9388 x * L(y \ L(y,z,u),w,v5) = a(u,z,L(y,w,v5)) \ x # label("p9loop 0 9146 ID<6591717>"). [assumption]. 9389 x \ (L(y / x,z,u) \ y) = a(u,z,(y \ x) \ 1) # label("p9loop 0 9147 ID<6602910>"). [assumption]. 9390 (a(x,y,z) * u) \ (u * R(x,y,z)) = L(x,x,a(z,y,u)) # label("p9loop 0 9148 ID<6604080>"). [assumption]. 9392 x * (a(x,y,z) * (R(x,y,z) \ u)) = L(u,x,a(z,y,x)) # label("p9loop 0 9150 ID<6591788>"). [assumption]. 9398 L(x,y,z * L(L(z,u,w),w,u)) = L(x,y,a(u,z,w)) # label("p9loop 0 9156 ID<7028234>"). [assumption]. 9405 L(L(x,a(y,z,u),w),z,a(y,w,u)) = x * a(u,x,a(y,z,w)) # label("p9loop 0 9163 ID<7027795>"). [assumption]. 9407 L(L(x,a(y,z,u),w),z,a(u,w,y)) = x * a(y,z,a(w,x,u)) # label("p9loop 0 9165 ID<7035408>"). [assumption]. 9408 L(L(x,a(y,z,u),w),z,a(u,w,y)) = x * a(u,x,a(w,z,y)) # label("p9loop 0 9166 ID<7036699>"). [assumption]. 9409 L(x * a(y,z,a(u,x,w)),u,a(w,z,y)) = L(x,a(w,z,y),u) # label("p9loop 0 9167 ID<7035063>"). [assumption]. 9410 L(x * a(y,z,a(u,x,w)),y,a(w,z,u)) = L(x,a(w,z,u),y) # label("p9loop 0 9168 ID<7040093>"). [assumption]. 9411 L(L(x,y,a(z,u,w)),a(z,u,w),y) = x * a(z,u,a(y,x,w)) # label("p9loop 0 9169 ID<7036771>"). [assumption]. 9412 x \ (y \ ((y * a(z,u,w)) * x)) = a(z,u,L(L(w,x,y),y,x)) # label("p9loop 0 9170 ID<7025652>"). [assumption]. 9416 a(x,y,y \ (z \ y)) = a(x,y,z \ 1) # label("p9loop 0 9174 ID<6674774>"). [assumption]. 9419 a(x,y,L(z,u,w)) \ z = L(z,y,L(x,u,w)) # label("p9loop 0 9177 ID<6598038>"). [assumption]. 9420 x * ((x * a(y,z,x)) \ u) = L(x,z,y) * (x \ u) # label("p9loop 0 9178 ID<6673229>"). [assumption]. 9422 x * a(y,z,L(u,u,x)) = u * (L(u,z,y) \ x) # label("p9loop 0 9180 ID<6593110>"). [assumption]. 9424 a(x,y,z \ 1) \ (z \ u) = z \ (a(x,y,z \ 1) \ u) # label("p9loop 0 9182 ID<6674538>"). [assumption]. 9425 x * a(y,z,L(u,y,x)) = R(y,z,u) * (y \ x) # label("p9loop 0 9183 ID<6601830>"). [assumption]. 9427 (x * L(x \ 1,y,z)) * u = a(z,y,x \ 1) \ u # label("p9loop 0 9185 ID<6592440>"). [assumption]. 9428 (x \ y) \ ((x \ y) / z) = (x * y) \ ((x * y) / z) # label("p9loop 0 9186 ID<6846476>"). [assumption]. 9429 L(1 / x,y,z) \ 1 = a(z,y,x \ 1) * x # label("p9loop 0 9187 ID<6745353>"). [assumption]. 9431 L(x \ L(x,y,z),u,w) * v5 = a(z,y,L(x,u,w)) \ v5 # label("p9loop 0 9189 ID<6591716>"). [assumption]. 9434 a(x,y,L(z,x,u)) * u = R(x,y,z) * (x \ u) # label("p9loop 0 9192 ID<6614594>"). [assumption]. 9435 x * a(y,z,L(u,x,x)) = (1 / x) \ a(y,z,u) # label("p9loop 0 9193 ID<6081523>"). [assumption]. 9436 x \ (a(y,z,x \ 1) \ u) = u * L(u \ (x \ u),z,y) # label("p9loop 0 9194 ID<6674891>"). [assumption]. 9439 x \ (y * (L(y,z,u) \ x)) = a(u,z,L(y,y,x)) # label("p9loop 0 9197 ID<6593071>"). [assumption]. 9442 x \ (R(y,z,u) * (y \ x)) = a(y,z,L(u,y,x)) # label("p9loop 0 9200 ID<6602798>"). [assumption]. 9443 a(x,y,z) * (u \ ((a(x,y,z) \ u) * w)) = L(w,a(x,y,z),u) # label("p9loop 0 9201 ID<5790584>"). [assumption]. 9446 L(x,(y \ z) \ 1,z) = L(x,z \ y,z) # label("p9loop 0 9204 ID<6943796>"). [assumption]. 9451 a(x,y,a(z \ x,u,w)) = a(x,y,a(x * z,u,w)) # label("p9loop 0 9209 ID<6274880>"). [assumption]. 9452 a(x,x,a(y,z,y * u)) = a(x,z,a(y,x,u)) # label("p9loop 0 9210 ID<6364787>"). [assumption]. 9453 a(x,y,z) * (u * a(z,z,w)) = a(z,z,w) * (u * a(x,y,z)) # label("p9loop 0 9211 ID<6569909>"). [assumption]. 9454 a(x,y,(z \ ((z \ 1) \ u)) \ w) = a(x,y,L(u,z,z) \ w) # label("p9loop 0 9212 ID<6856840>"). [assumption]. 9455 a(x,y,L(z,u,w) \ 1) = a(x,y,L(z \ 1,u,w)) # label("p9loop 0 9213 ID<5439806>"). [assumption]. 9456 a(x,y,L(z,u,u)) \ u = (a(x,y,z) / u) \ 1 # label("p9loop 0 9214 ID<6310347>"). [assumption]. 9457 a(x,y,L(z * u,u,u) \ w) = a(x,y,((u \ 1) \ z) \ w) # label("p9loop 0 9215 ID<7065643>"). [assumption]. 9460 R(1 / x,y,z) \ 1 = a(x,y,z) \ x # label("p9loop 0 9218 ID<6609524>"). [assumption]. 9463 L(x,y,z * (y \ z)) = L(x,y,y) # label("p9loop 0 9221 ID<6946397>"). [assumption]. 9465 L(x,x,L(y,z,z * x)) = L(x,x,y) # label("p9loop 0 9223 ID<6904298>"). [assumption]. 9466 a(x,x,y) \ (a(x,x,y) / z) = 1 / z # label("p9loop 0 9224 ID<6592692>"). [assumption]. 9469 (R(x,y,z) \ x) * u = a(x,y,z) \ u # label("p9loop 0 9227 ID<6593075>"). [assumption]. 9470 R(x,y,y) * (x \ z) = a(x,y,y) * z # label("p9loop 0 9228 ID<6593445>"). [assumption]. 9472 x \ (y \ L(y,z,x)) = R(x,z,y) \ 1 # label("p9loop 0 9230 ID<6644992>"). [assumption]. 9473 a(x,y,y) * (z * x) = z * R(x,y,y) # label("p9loop 0 9231 ID<6683047>"). [assumption]. 9474 a(x,x,y) * (y \ z) = L(y,x,x) \ z # label("p9loop 0 9232 ID<6706661>"). [assumption]. 9475 a(x,y * (x \ 1),z) = a(x,x \ y,z) # label("p9loop 0 9233 ID<6791843>"). [assumption]. 9476 a(x,(x \ 1) \ y,z) = a(x,x * y,z) # label("p9loop 0 9234 ID<6822115>"). [assumption]. 9477 (x \ 1) * a(y,z,z) = x \ a(y,z,z) # label("p9loop 0 9235 ID<6874254>"). [assumption]. 9479 a(x,(y \ x) \ 1,z) = a(x,x \ y,z) # label("p9loop 0 9237 ID<7077565>"). [assumption]. 9480 a(x,y,y) * (z \ x) = z \ R(x,y,y) # label("p9loop 0 9238 ID<7095600>"). [assumption]. 9482 x \ R(y,x \ 1,x) = T(y * (1 / x),x) # label("p9loop 0 9240 ID<1384875>"). [assumption]. 9483 a(x,y,y \ 1) \ ((z * y) \ z) = L((z * y) \ z,y,x) # label("p9loop 0 9241 ID<5762038>"). [assumption]. 9484 (1 / x) \ (a(y,z,u) \ 1) = (a(y,z,u) / x) \ 1 # label("p9loop 0 9242 ID<6311152>"). [assumption]. 9485 (L(x,y,z) \ 1) * (x \ u) = (x \ 1) * (L(x,y,z) \ u) # label("p9loop 0 9243 ID<5217016>"). [assumption]. 9491 a(x,y,a(z,u,u * (z \ w))) = a(x,y,a(z,u,z * (u \ w))) # label("p9loop 0 9250 ID<7123918>"). [assumption]. 9500 R(x,x,y) \ (z * x) = T(a(x,x,y) \ z,x) # label("p9loop 0 9259 ID<5263274>"). [assumption]. 9506 a(x,y,L(z * (u \ 1),u,u)) = a(x,y,u \ z) # label("p9loop 0 9265 ID<5496660>"). [assumption]. 9508 a(x,y,a(z,u,w)) * a(z,y,x) = a(z,y,L(x,u,w)) # label("p9loop 0 9267 ID<6143839>"). [assumption]. 9515 (x * y) \ (x * (a(z,u,w) \ y)) = L(a(z,u,w) \ 1,y,x) # label("p9loop 0 9274 ID<5346054>"). [assumption]. 9516 R(x,y,L(z,x,u)) \ u = x \ (a(x,y,z) \ u) # label("p9loop 0 9275 ID<6696458>"). [assumption]. 9528 L(x,x,y) \ (z * x) = T(z * a(y,x,x),x) # label("p9loop 0 9287 ID<5262349>"). [assumption]. 9531 a(x \ a(y,y,z),u,w) = a(x * a(y,y,z),u,w) # label("p9loop 0 9290 ID<6050797>"). [assumption]. 9534 (x * y) * (z * a(x,x,y)) = ((1 / x) \ y) * z # label("p9loop 0 9293 ID<6794683>"). [assumption]. 9536 a(x,y,a(z,u,w)) * v5 = a(w,y,a(z,u,x)) * v5 # label("p9loop 0 9295 ID<6183447>"). [assumption]. 9537 a(x,y,a(z,u,w)) * a(x,y,z) = a(x,y,L(z,u,w)) # label("p9loop 0 9296 ID<6139138>"). [assumption]. 9540 a(x,y,z * (u \ a(u,u,z))) = a(x,y,u \ z) # label("p9loop 0 9299 ID<7159970>"). [assumption]. 9542 a(x * y,y,y \ 1) \ ((1 / (x \ (x / y))) * z) = y * z # label("p9loop 0 9301 ID<6474235>"). [assumption]. 9547 (x \ y) * (z * a(x,x \ y,z)) = x \ (y * z) # label("p9loop 0 9306 ID<6602224>"). [assumption]. 9548 (x \ y) * a(z,u,L(u,y,x)) = x \ (y * a(z,u,u)) # label("p9loop 0 9307 ID<7172399>"). [assumption]. 9549 R(1 / x,x,y) \ (y * a(z,u,u)) = x * (a(z,u,u) * y) # label("p9loop 0 9308 ID<7173936>"). [assumption]. 9550 a(x,x,y * L(z,u,u)) = a(x,x,y * z) # label("p9loop 0 9309 ID<7176621>"). [assumption]. 9551 a(x,x,y * (z * (u \ 1))) = a(x,x,(u \ z) * y) # label("p9loop 0 9310 ID<7177512>"). [assumption]. 9552 a(x,x,a(y,y,z) * u) = a(x,x,u) # label("p9loop 0 9311 ID<7177527>"). [assumption]. 9553 a(x,x,y * (z * a(u,w,w))) = a(x,x,y * z) # label("p9loop 0 9312 ID<7180763>"). [assumption]. 9555 a(x,x,y * (a(z,u,u) * w)) = a(x,x,y * w) # label("p9loop 0 9314 ID<7181770>"). [assumption]. 9556 a(x,x,y * a(z,u,u)) = a(x,x,y) # label("p9loop 0 9315 ID<7176269>"). [assumption]. 9558 a(x,y,L(y,z * u,z)) = a(x,y,L(y,u,z)) # label("p9loop 0 9317 ID<7173384>"). [assumption]. 9559 a(x,x,y * (z * a(u,u,w))) = a(x,x,y * z) # label("p9loop 0 9318 ID<7180812>"). [assumption]. 9562 L(x \ a(y,z,u),a(y,z,u),a(y,z,u) * w) = L(x,a(y,z,u),w) \ a(y,z,u) # label("p9loop 0 9321 ID<7049333>"). [assumption]. 9569 L(x,y,z * u) \ L(x,y,z \ u) = a(x,y,a(z,z,u)) # label("p9loop 0 9328 ID<6178674>"). [assumption]. 9571 a(x,y * z,a(u,w,v5)) = a(v5,w,a(u,z * y,x)) # label("p9loop 0 9330 ID<6138701>"). [assumption]. 9572 a(x,y,(z * R(u,w,v5)) \ v6) = a(x,y,(z * L(u,w,v5)) \ v6) # label("p9loop 0 9331 ID<5894812>"). [assumption]. 9573 a(x,y,(z \ 1) \ (z \ u)) = a(x,y,L(u,z,z)) # label("p9loop 0 9332 ID<5431844>"). [assumption]. 9576 (a(x,y,z) \ u) \ 1 = a(x,y,z) * (u \ 1) # label("p9loop 0 9336 ID<6308331>"). [assumption]. 9577 (x * y) \ ((x * z) / (y \ z)) = a(x,y,y \ z) \ 1 # label("p9loop 0 9337 ID<5226402>"). [assumption]. 9585 a(x,x \ 1,y) * y = (x \ 1) \ (x \ y) # label("p9loop 0 9345 ID<2088136>"). [assumption]. 9586 L(x,y,z \ (z \ u)) = L(x,y,L(u,z,z)) # label("p9loop 0 9346 ID<2092185>"). [assumption]. 9587 ((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y) # label("p9loop 0 9347 ID<2096193>"). [assumption]. 9589 (x \ ((x * y) * z)) / (y * z) = a(x,y,z) # label("p9loop 0 9349 ID<2125377>"). [assumption]. 9590 R(x,y,L(x \ 1,z,u)) = R(x,y,x \ 1) # label("p9loop 0 9350 ID<2163505>"). [assumption]. 9593 a(x,x \ 1,y) \ x = 1 / ((x \ y) / y) # label("p9loop 0 9353 ID<2186261>"). [assumption]. 9594 (x \ 1) \ ((x \ y) / y) = a(x,x \ 1,y) # label("p9loop 0 9354 ID<2186323>"). [assumption]. 9596 a(x,x \ 1,x * y) = x * (y / (x * y)) # label("p9loop 0 9356 ID<2194134>"). [assumption]. 9599 K(x,y * (z * a(u,w,v5))) = K(x,y * z) # label("p9loop 0 9359 ID<2382347>"). [assumption]. 9600 K(x,y \ (a(z,u,w) \ v5)) = K(x,y \ v5) # label("p9loop 0 9360 ID<2398814>"). [assumption]. 9603 (x \ y) \ (T(x,x \ y) \ z) = (y / x) \ (x \ z) # label("p9loop 0 9363 ID<822650>"). [assumption]. 9605 K(x * (y / (x * z)),u) = K(y / z,T(u,x)) # label("p9loop 0 9365 ID<2362793>"). [assumption]. 9608 K(x,T(y \ (z * u),w)) = K(x,T((y \ z) * u,w)) # label("p9loop 0 9368 ID<2339630>"). [assumption]. 9612 K(x,y) * ((1 / z) * u) = (K(x,y) / z) * u # label("p9loop 0 9372 ID<192669>"). [assumption]. 9613 K(x,y) * ((z / x) \ u) = (z / T(x,y)) \ u # label("p9loop 0 9373 ID<338303>"). [assumption]. 9616 a(x,y,L(L(x,x,z) * u,x,z)) = a(x,y,z \ (x * (z * u))) # label("p9loop 0 9377 ID<7248237>"). [assumption]. 9622 L(L(x,y,z),u,w) * T(v5,x) = v5 * L(L(x,u,w),y,z) # label("p9loop 0 9383 ID<5417>"). [assumption]. 9629 L(x,y \ ((z \ u) \ u),w) = L(x,y \ z,w) # label("p9loop 0 9390 ID<347831>"). [assumption]. 9632 L(x,y,(z * (z * u)) \ w) = L(x,y,L(u,z,z) \ w) # label("p9loop 0 9393 ID<3100959>"). [assumption]. 9633 L(x,y,z \ (u * (w * v5))) = L(x,y,z \ (u * (v5 * w))) # label("p9loop 0 9394 ID<533002>"). [assumption]. 9634 L(x,y,(z \ (u \ z)) * u) = L(x,y,a(u,u,z)) # label("p9loop 0 9395 ID<2198395>"). [assumption]. 9635 L(x,y,z * (T(u,w) * v5)) = L(x,y,z * (u * v5)) # label("p9loop 0 9396 ID<213562>"). [assumption]. 9637 a(x,y,z) \ R(z,u,w) = a(z,u,w) * L(z,y,x) # label("p9loop 0 9398 ID<6606570>"). [assumption]. 9644 R(x,y,((z / u) * w) * v5) = R(x,y,((u \ z) * w) * v5) # label("p9loop 0 9405 ID<303243>"). [assumption]. 9652 T(K(x,y) * z,K(x,y) * u) = T(z * K(x,y),u) # label("p9loop 0 9413 ID<569398>"). [assumption]. 9655 T(x * K(x \ y,x),z) \ y = y / T(x,z) # label("p9loop 0 9416 ID<235213>"). [assumption]. 9660 T(x,y * K(z,T(u,w))) = T(x,K(u,z) * y) # label("p9loop 0 9421 ID<3205>"). [assumption]. 9662 a(((x * y) \ x) * z,u,w) = a((x \ (y \ x)) * z,u,w) # label("p9loop 0 9423 ID<4067230>"). [assumption]. 9664 a((T(x,y) * z) \ u,w,v5) = a((x * z) \ u,w,v5) # label("p9loop 0 9425 ID<212184>"). [assumption]. 9666 a(x,L(x \ 1,y,z),u) = a(x,x \ 1,L(u,y,z)) # label("p9loop 0 9427 ID<5443065>"). [assumption]. 9668 a(x,y \ 1,y) \ 1 = (x \ (x / y)) * y # label("p9loop 0 9429 ID<3932979>"). [assumption]. 9669 a(x,y,((z \ 1) \ (u * z)) * w) = a(x,y,(z * z) * (u * w)) # label("p9loop 0 9430 ID<2853066>"). [assumption]. 9670 a(x,y,(z \ (u \ z)) \ 1) = a(x,y,z \ ((u \ 1) \ z)) # label("p9loop 0 9431 ID<5923308>"). [assumption]. 9671 a(x,y,(T(z,u) \ w) \ v5) = a(x,y,(z \ w) \ v5) # label("p9loop 0 9432 ID<492668>"). [assumption]. 9672 a(x,y,z * a(u * w,u,u)) = a(x,y,z * a(w,u,u)) # label("p9loop 0 9433 ID<4382081>"). [assumption]. 9673 a(x,y,L((z \ 1) * u,u,z)) = a(x,y,(u \ z) \ 1) # label("p9loop 0 9434 ID<6526107>"). [assumption]. 9676 a(x,y,L(T(z,u),w,v5) \ v6) = a(x,y,L(z,w,v5) \ v6) # label("p9loop 0 9437 ID<73461>"). [assumption]. 9677 a(x,y,L(z,u,w)) \ (u * w) = (a(x,y,z) \ u) * w # label("p9loop 0 9438 ID<6067818>"). [assumption]. 9678 a(x,y,x) \ (L(x,z,u) \ w) = L(R(x,y,x),z,u) \ w # label("p9loop 0 9439 ID<668685>"). [assumption]. 9679 a(x,y,x) \ (z \ (x * u)) = z \ (L(x,y,x) * u) # label("p9loop 0 9440 ID<2075795>"). [assumption]. 9680 a(x,y,z \ ((T(u,w) \ v5) * v6)) = a(x,y,z \ ((u \ v5) * v6)) # label("p9loop 0 9441 ID<72781>"). [assumption]. 9687 x * ((y \ (y / z)) * z) = a(y,z \ 1,z) \ x # label("p9loop 0 9448 ID<4354691>"). [assumption]. 9688 x * (K(y,z) * (K(x,u) * w)) = T(x,u) * (K(y,z) * w) # label("p9loop 0 9449 ID<58542>"). [assumption]. 9691 x * K(y \ (z \ x),z * y) = ((z * y) \ x) * (z * y) # label("p9loop 0 9452 ID<201367>"). [assumption]. 9692 (x / y) * (K(z,u) * y) = x * K(z,T(u,y)) # label("p9loop 0 9453 ID<98619>"). [assumption]. 9696 (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y # label("p9loop 0 9457 ID<77076>"). [assumption]. 9699 x \ R(1 / (1 / x),y,z) = (x \ 1) * R(x,y,z) # label("p9loop 0 9460 ID<1565295>"). [assumption]. 9700 K(x * (y * a(z,u,w)),v5) = K(x * y,v5) # label("p9loop 0 9461 ID<2453954>"). [assumption]. 9703 T(x,y * (a(z,u,w) \ v5)) = T(x,y * v5) # label("p9loop 0 9464 ID<2538440>"). [assumption]. 9705 L(x,y \ L(z,u,w),x) = L(x,y \ z,x) # label("p9loop 0 9466 ID<2608806>"). [assumption]. 9706 K(x * (a(y,z,u) \ w),v5) = K(x * w,v5) # label("p9loop 0 9467 ID<2617212>"). [assumption]. 9709 a(x,x \ 1,y * x) = x * (y / (x * y)) # label("p9loop 0 9470 ID<2686231>"). [assumption]. 9714 K(x,y) * a(x,x,y) = (y / (y * x)) * x # label("p9loop 0 9475 ID<3352578>"). [assumption]. 9715 x \ (1 / ((y * x) \ y)) = a(y,x,x \ 1) # label("p9loop 0 9476 ID<3357974>"). [assumption]. 9724 ((x \ 1) * y) * T(x,x \ 1) = ((1 / x) * y) * x # label("p9loop 0 9485 ID<1526933>"). [assumption]. 9727 ((x \ y) * (y \ x)) * z = z * ((x \ y) * (y \ x)) # label("p9loop 0 9488 ID<366841>"). [assumption]. 9729 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x # label("p9loop 0 9490 ID<2683551>"). [assumption]. 9730 (1 / x) \ (y \ (y / x)) = (y \ (y / x)) * x # label("p9loop 0 9491 ID<1936457>"). [assumption]. 9741 (x * (y \ K(z,u))) * (K(u,z) * w) = (x * (y \ 1)) * w # label("p9loop 0 9502 ID<207673>"). [assumption]. 9743 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y # label("p9loop 0 9504 ID<68733>"). [assumption]. 9746 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u) # label("p9loop 0 9507 ID<472777>"). [assumption]. 9747 (x * y) * (y \ (x \ 1)) = a(x,y,y \ (x \ 1)) # label("p9loop 0 9508 ID<1463858>"). [assumption]. 9750 (x / (y * z)) * (K(y,z) * u) = (x / (z * y)) * u # label("p9loop 0 9511 ID<538505>"). [assumption]. 9752 a(x * L(x,y,z),u,w) = a(w,u,a(x,y,z)) # label("p9loop 0 9513 ID<6084832>"). [assumption]. 9757 (x \ y) / (x * (y \ (x \ y))) = y * (x \ 1) # label("p9loop 0 9518 ID<5175883>"). [assumption]. 9759 (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z) # label("p9loop 0 9520 ID<822661>"). [assumption]. 9760 (x \ y) \ (K(x,z) * u) = (T(x,z) \ y) \ u # label("p9loop 0 9521 ID<458057>"). [assumption]. 9761 (a(x,y,z) / (1 / u)) \ 1 = (a(x,y,z) \ 1) / u # label("p9loop 0 9522 ID<6311216>"). [assumption]. 9762 K(x * ((y / z) / u),w) = K(x * (y / (u * z)),w) # label("p9loop 0 9523 ID<2444622>"). [assumption]. 9771 K(x,y) * (z \ K(y,x)) = T(z \ 1,K(y,x)) # label("p9loop 0 9532 ID<232090>"). [assumption]. 9772 K(x,y) * (z \ K(y,x)) = T(z \ 1,K(x,y)). [copy(9771),rewrite([749(8)])]. 9781 L(x,y,((z / u) * w) \ v5) = L(x,y,((u \ z) * w) \ v5) # label("p9loop 0 9541 ID<1313246>"). [assumption]. 9785 L(x,y,z * ((u / w) * v5)) = L(x,y,z * ((w \ u) * v5)) # label("p9loop 0 9545 ID<3599620>"). [assumption]. 9787 L(x,y,z \ ((u \ 1) * w)) = L(x,y,z \ (w * u)) # label("p9loop 0 9547 ID<2012997>"). [assumption]. 9792 L(x,y,z) * (T(x,u) \ u) = x \ (u * L(x,y,z)) # label("p9loop 0 9552 ID<643721>"). [assumption]. 9794 L(x,y,z) \ (a(u,w,x) * v5) = a(u,w,x) * (L(x,y,z) \ v5) # label("p9loop 0 9554 ID<3831408>"). [assumption]. 9800 R(x,y \ (z / u),w) = R(x,y \ (u \ z),w) # label("p9loop 0 9560 ID<347554>"). [assumption]. 9801 R(x,y,x) \ (z \ x) = x \ (z \ L(x,y,x)) # label("p9loop 0 9561 ID<599570>"). [assumption]. 9806 T(T(x,y),z * T(x,u)) = T(T(x,x * z),y) # label("p9loop 0 9566 ID<543663>"). [assumption]. 9811 T(x,(R(y,z,u) \ w) * v5) = T(x,(y \ w) * v5) # label("p9loop 0 9571 ID<2583535>"). [assumption]. 9813 T(x,T(y * (z \ 1),u)) = T(x,T(y / z,u)) # label("p9loop 0 9573 ID<208217>"). [assumption]. 9814 T(x,T(y \ (z * u),w)) = T(x,T((y \ z) * u,w)) # label("p9loop 0 9574 ID<2536181>"). [assumption]. 9815 a(x * ((y \ 1) * z),u,w) = a(x * (y * z),u,w) # label("p9loop 0 9575 ID<918287>"). [assumption]. 9819 a(x * (T(y,z) \ u),w,v5) = a((y \ u) * x,w,v5) # label("p9loop 0 9579 ID<72803>"). [assumption]. 9820 a(x * (y * ((z * u) \ z)),w,v5) = a(x * (y * (z \ (u \ z))),w,v5) # label("p9loop 0 9580 ID<4143788>"). [assumption]. 9821 x \ ((y \ (y / x)) \ 1) = a(y,x \ 1,x) # label("p9loop 0 9581 ID<3871139>"). [assumption]. 9825 a(x,x \ 1,L(y,x,z)) = a(x,x \ 1,y) # label("p9loop 0 9585 ID<5446110>"). [assumption]. 9826 L(x \ y,x,x * z) = z \ ((z / x) * y) # label("p9loop 0 9586 ID<5573179>"). [assumption]. 9827 a(x,x,L(x,y,z) * u) = a(x,x,u * x) # label("p9loop 0 9587 ID<5582211>"). [assumption]. 9828 L(a(x,y,z) \ 1,x,y) = R(x,y,z) \ x # label("p9loop 0 9588 ID<5686977>"). [assumption]. 9831 R(x,y \ 1,L(z,y,y)) = R(x,y \ 1,z) # label("p9loop 0 9591 ID<5893977>"). [assumption]. 9832 a(x * y,z,L(u,x,x)) = a(x \ y,z,u) # label("p9loop 0 9592 ID<6085812>"). [assumption]. 9833 a(x \ y,z,L(u,x,x)) = a(y * x,z,u) # label("p9loop 0 9593 ID<6086423>"). [assumption]. 9840 K(x / T(y,z),T(u,y)) = K(T(y,z) \ x,u) # label("p9loop 0 9600 ID<4018>"). [assumption]. 9849 a(x,L(y,x,z),z) = a(x,y,z) # label("p9loop 0 9609 ID<7515685>"). [assumption]. 9850 a(x,y,((z * u) \ w) \ v5) = a(x,y,((u * z) \ w) \ v5) # label("p9loop 0 9610 ID<510116>"). [assumption]. 9854 a(x,y,L(z \ u,z * u,z)) = a(x,y,(u \ z) \ 1) # label("p9loop 0 9614 ID<6517932>"). [assumption]. 9855 a(x,y,L(z,u \ 1,w)) = a(x,y,L(z,u,w)) # label("p9loop 0 9615 ID<1903548>"). [assumption]. 9858 a(x,y,z \ (u \ ((u \ 1) \ w))) = a(x,y,z \ L(w,u,u)) # label("p9loop 0 9618 ID<6395742>"). [assumption]. 9861 a(x,y,z \ a(u,w,v5 \ 1)) = a(x,y,z \ a(u,w,v5)) # label("p9loop 0 9621 ID<6745028>"). [assumption]. 9862 a(x,y,z) \ (a(x,u,w) * v5) = a(x,u,w) * (a(x,y,z) \ v5) # label("p9loop 0 9622 ID<6285163>"). [assumption]. 9863 a(x,y,z) \ (u * z) = (a(x,y,z) \ u) * z # label("p9loop 0 9623 ID<3786599>"). [assumption]. 9865 x * (K(y,K(z,u * x)) * u) = T(x * u,K(y,z)) # label("p9loop 0 9625 ID<98957>"). [assumption]. 9867 x * (a(x,y,z) * (x \ u)) = u * a(x,y,z) # label("p9loop 0 9627 ID<2078279>"). [assumption]. 9877 x / T((y / x) \ 1,y) = ((y / x) \ 1) \ x # label("p9loop 0 9637 ID<1165114>"). [assumption]. 9879 (x / (x * (y / x))) \ 1 = y / (y / ((x / y) \ 1)) # label("p9loop 0 9639 ID<7549164>"). [assumption]. 9885 ((x \ 1) * (x * y)) / y = y \ ((x \ 1) * (x * y)) # label("p9loop 0 9645 ID<4858924>"). [assumption]. 9891 L(x,y,z) \ (1 / (1 / x)) = (L(x,y,z) \ 1) * x # label("p9loop 0 9651 ID<892838>"). [assumption]. 9893 (R(x,y,x) * z) \ x = (x * z) \ L(x,y,x) # label("p9loop 0 9653 ID<599421>"). [assumption]. 9896 (a(x,y,y \ z) * y) \ z = L(y \ z,y,x) # label("p9loop 0 9656 ID<5564129>"). [assumption]. 9897 (a(x,y,z) * u) * a(x,w,v5) = a(x,y,z) * (u * a(x,w,v5)) # label("p9loop 0 9657 ID<6326860>"). [assumption]. 9898 (x * y) * (y / (x * y)) = y * K(y * x,x \ 1) # label("p9loop 0 9658 ID<830742>"). [assumption]. 9899 (x * (K(y,x) * z)) * u = K(y,x) * ((x * z) * u) # label("p9loop 0 9659 ID<99163>"). [assumption]. 9906 (x / y) \ ((z / (x / y)) \ u) = (y \ x) \ ((z / (y \ x)) \ u) # label("p9loop 0 9666 ID<4192284>"). [assumption]. 9907 (x \ L(y,z,u)) * (K(y,w) * v5) = (x \ L(T(y,w),z,u)) * v5 # label("p9loop 0 9667 ID<52625>"). [assumption]. 9916 K(x,y) * (R(T(x,y),z,u) \ w) = R(x,z,u) \ w # label("p9loop 0 9676 ID<70848>"). [assumption]. 9934 x * T(y \ 1,y \ x) = L(y \ 1,x,y) * x # label("p9loop 0 9694 ID<1485611>"). [assumption]. 9936 L(x,((y \ 1) * (z * y)) \ u,w) = L(x,L(z,y,y) \ u,w) # label("p9loop 0 9696 ID<1745628>"). [assumption]. 9938 L(x,y \ L(z,y,y),u) = L(x,(y \ 1) * z,u) # label("p9loop 0 9698 ID<2680355>"). [assumption]. 9939 L(x,a(y,z,u) * w,a(y,z,u)) = L(x,w,a(u,z,y)) # label("p9loop 0 9699 ID<5783518>"). [assumption]. 9940 L(x,a(y,z,u),w) * (a(y,z,u) \ w) = (a(y,z,u) \ x) * w # label("p9loop 0 9700 ID<5339942>"). [assumption]. 9942 K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w) # label("p9loop 0 9702 ID<4853>"). [assumption]. 9943 T(x,T(y * T(z,u),z)) = T(x,T(z,u) * y) # label("p9loop 0 9703 ID<4913>"). [assumption]. 9945 T(x * a(y,z,u),K(x,w)) = x * a(y,z,u) # label("p9loop 0 9705 ID<5719>"). [assumption]. 9947 T(K(x,y) * z,T(u,z)) = T(K(x,y) * z,u) # label("p9loop 0 9707 ID<8325>"). [assumption]. 9949 T(x,T(y,T(z,u)) \ w) = T(x,T(y,z) \ w) # label("p9loop 0 9709 ID<13062>"). [assumption]. 9952 K(x,T(T(y,z) \ u,y)) = K(x,u / T(y,z)) # label("p9loop 0 9712 ID<16066>"). [assumption]. 9954 K(x,T(y / T(z,u),z)) = K(x,T(z,u) \ y) # label("p9loop 0 9714 ID<19677>"). [assumption]. 9955 (x * (R(x,y,z) \ u)) / x = u / R(x,y,z) # label("p9loop 0 9715 ID<21122>"). [assumption]. 9957 T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)) # label("p9loop 0 9717 ID<31919>"). [assumption]. 9958 T(x,T(y,T(z,u)) * w) = T(x,T(y,z) * w) # label("p9loop 0 9718 ID<31978>"). [assumption]. 9959 T(x,T(y,T(z,u) * w)) = T(x,T(y,z * w)) # label("p9loop 0 9719 ID<32441>"). [assumption]. 9967 L(x,y,z * ((u * w) \ w)) = L(x,y,z * (w \ (u \ w))) # label("p9loop 0 9727 ID<3674902>"). [assumption]. 9969 L(x,y,z) / R(x,u,w) = R(x,u,w) \ L(x,y,z) # label("p9loop 0 9729 ID<839398>"). [assumption]. 9975 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w) # label("p9loop 0 9735 ID<1523165>"). [assumption]. 9978 R(x,y,z) / (u \ x) = (x / u) \ R(x,y,z) # label("p9loop 0 9738 ID<2065943>"). [assumption]. 9984 (x \ R(y,z,u)) \ R(y,z,u) = (x \ y) \ y # label("p9loop 0 9743 ID<7662928>"). [assumption]. 9989 T(x * y,y \ z) = ((x * y) \ (x * z)) \ (x * z) # label("p9loop 0 9748 ID<1055866>"). [assumption]. 9992 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)) # label("p9loop 0 9751 ID<3204>"). [assumption]. 9994 T((1 / x) * (x / T(y,z)),y) = L(T(y,z),y \ x,x) \ 1 # label("p9loop 0 9753 ID<7679210>"). [assumption]. 9995 a(((x / y) * z) * u,w,v5) = a(((y \ x) * z) * u,w,v5) # label("p9loop 0 9754 ID<419785>"). [assumption]. 9997 a((x * y) * z,u,w) = a((y * x) * z,u,w) # label("p9loop 0 9756 ID<65416>"). [assumption]. 9999 a(x \ ((y * z) \ y),u,w) = a(x \ (y \ (z \ y)),u,w) # label("p9loop 0 9758 ID<3963486>"). [assumption]. 10000 a(x \ (y * (z \ 1)),u,w) = a(x \ (z * y),u,w) # label("p9loop 0 9759 ID<2016227>"). [assumption]. 10005 a(x,y \ L(z,y,y),u) = a(x,(y \ 1) * z,u) # label("p9loop 0 9764 ID<5635312>"). [assumption]. 10006 a(x,a(y,z,u),w) * a(y,z,u) = a(y * a(w,y,x),z,u) # label("p9loop 0 9765 ID<6305574>"). [assumption]. 10007 a(x,x \ y,y \ z) \ z = x * ((x \ y) * (y \ z)) # label("p9loop 0 9766 ID<38706>"). [assumption]. 10008 (x * (T(y,x) / z)) * z = y * R(x,z \ y,z) # label("p9loop 0 9767 ID<419648>"). [assumption]. 10010 a(x,y,((z * u) \ u) \ w) = a(x,y,(u \ (z \ u)) \ w) # label("p9loop 0 9769 ID<3674908>"). [assumption]. 10013 a(x,y,L(z \ 1,z,u)) = a(x,y,u \ (z \ u)) # label("p9loop 0 9772 ID<3676363>"). [assumption]. 10018 a(x,y,z \ (u \ ((w / v5) \ v6))) = a(x,y,z \ (u \ ((v5 \ w) \ v6))) # label("p9loop 0 9778 ID<7160413>"). [assumption]. 10022 x * ((y / x) * R(x,z,u)) = R(x,z,u) * y # label("p9loop 0 9782 ID<1185579>"). [assumption]. 10028 x / ((y \ z) * (z \ y)) = ((y \ z) * (z \ y)) \ x # label("p9loop 0 9789 ID<366824>"). [assumption]. 10036 ((x / y) * z) \ (((x / y) * u) * w) = ((y \ x) * z) \ (((y \ x) * u) * w) # label("p9loop 0 9798 ID<1730054>"). [assumption]. 10037 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x # label("p9loop 0 9799 ID<1856575>"). [assumption]. 10042 a(x,y,(z * L(u,z,z)) \ w) = a(x,y,((z \ 1) \ u) \ w) # label("p9loop 0 9804 ID<7743852>"). [assumption]. 10045 (x * T(y,z * x)) \ (y * (z * x)) = R(T(z,y * x),x,y) # label("p9loop 0 9807 ID<1071495>"). [assumption]. 10047 (x * a(y,y,x)) * z = x * (a(y,y,x) * z) # label("p9loop 0 9809 ID<6592697>"). [assumption]. 10050 (x / y) * (((x / y) \ z) * u) = (y \ x) * (((y \ x) \ z) * u) # label("p9loop 0 9812 ID<73538>"). [assumption]. 10051 (x / y) * (z / (z / y)) = x * K(y \ z,y) # label("p9loop 0 9813 ID<508835>"). [assumption]. 10054 (x \ (y \ x)) * T(y,y \ 1) = y * (x \ (y \ x)) # label("p9loop 0 9816 ID<687928>"). [assumption]. 10055 (x \ 1) \ (y * ((z * y) \ z)) = (x \ a(z,y,y \ 1)) \ 1 # label("p9loop 0 9817 ID<6316770>"). [assumption]. 10062 T(x,y) \ ((z * x) / z) = K(y,x) * K(z,x) # label("p9loop 0 9824 ID<48334>"). [assumption]. 10064 T(x,K(y,z) * (u \ z)) = T(x,u \ T(z,y)) # label("p9loop 0 9826 ID<48423>"). [assumption]. 10065 T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)) # label("p9loop 0 9827 ID<48536>"). [assumption]. 10066 T(x,y * (z * K(u,z))) = T(x,y * T(z,u)) # label("p9loop 0 9828 ID<48733>"). [assumption]. 10067 K(x,y * (z * K(u,y))) = K(x,T(y,u) * z) # label("p9loop 0 9829 ID<49164>"). [assumption]. 10069 K(x * (y * K(z,y)),u) = K(x * T(y,z),u) # label("p9loop 0 9831 ID<51549>"). [assumption]. 10071 x * (K(y,y \ x) * z) = (y * (x / y)) * z # label("p9loop 0 9833 ID<52518>"). [assumption]. 10072 T(x,y * (z * K(y,u))) = T(x,T(y,u) * z) # label("p9loop 0 9834 ID<53018>"). [assumption]. 10075 K(x,y) * (z / T(x,y)) = T(z / x,K(x,y)) # label("p9loop 0 9837 ID<59427>"). [assumption]. 10076 x \ (y * (K(z,u) * x)) = T(y * K(z,u),x) # label("p9loop 0 9838 ID<59660>"). [assumption]. 10078 a(x,y \ (z * u),w) = a(x,y \ (u * z),w) # label("p9loop 0 9840 ID<64793>"). [assumption]. 10081 K(x * ((y * z) / u),w) = K(x * (y * (z / u)),w) # label("p9loop 0 9843 ID<2434471>"). [assumption]. 10087 K(x,y) * (R(y,z,u) \ w) = R(T(y,x),z,u) \ w # label("p9loop 0 9849 ID<70846>"). [assumption]. 10088 L((x * (y \ z)) / x,y,y) = (x * ((1 / y) * z)) / x # label("p9loop 0 9850 ID<2916240>"). [assumption]. 10090 L(R(x,y,z),u,L(x,w,v5)) = L(R(x,y,z),u,x) # label("p9loop 0 9852 ID<668073>"). [assumption]. 10092 L(x \ 1,x,a(y,z,u)) = a(y,z,u) \ (x \ a(y,z,u)) # label("p9loop 0 9854 ID<2249706>"). [assumption]. 10093 L(L(x,y,z),y,z) * (x \ (u \ a(z,y,x))) = u \ (a(z,y,x) \ 1) # label("p9loop 0 9855 ID<7819913>"). [assumption]. 10095 L(x,((y / z) * u) \ w,v5) = L(x,((z \ y) * u) \ w,v5) # label("p9loop 0 9857 ID<343010>"). [assumption]. 10098 L(x,y \ a(z,u,w),a(z,u,w)) = L(x,y,a(z,u,w)) # label("p9loop 0 9860 ID<6867174>"). [assumption]. 10099 L(x,y \ ((z / u) * w),v5) = L(x,y \ ((u \ z) * w),v5) # label("p9loop 0 9861 ID<4537645>"). [assumption]. 10103 L(x,y,z * (u \ (z \ u))) = L(x,y,a(z,z,u)) # label("p9loop 0 9865 ID<2179728>"). [assumption]. 10104 L(x,y,a(z,u,u) * (z \ w)) = L(x,y,L(z,u,u) \ w) # label("p9loop 0 9866 ID<7102906>"). [assumption]. 10105 L(x,y,z * ((u * w) \ u)) = L(x,y,z * (u \ (w \ u))) # label("p9loop 0 9867 ID<4717733>"). [assumption]. 10106 L(x,y,z * ((u * w) \ v5)) = L(x,y,z * ((w * u) \ v5)) # label("p9loop 0 9868 ID<510095>"). [assumption]. 10107 L(x,y,z \ (u * (w * w))) = L(x,y,z \ u) # label("p9loop 0 9869 ID<1871218>"). [assumption]. 10108 R(x,y \ ((z / u) \ w),v5) = R(x,y \ ((u \ z) \ w),v5) # label("p9loop 0 9870 ID<5581577>"). [assumption]. 10110 T((x * y) / x,z) \ y = T(K(z,y) * K(y,x),x) # label("p9loop 0 9872 ID<199136>"). [assumption]. 10119 T(x / T(y,z),y) \ u = K(y,z) * ((y \ x) \ u) # label("p9loop 0 9881 ID<750561>"). [assumption]. 10120 T(x,((y * z) \ u) * w) = T(x,(z \ (y \ u)) * w) # label("p9loop 0 9882 ID<2520417>"). [assumption]. 10121 T(x,(y \ (z * u)) * w) = T(x,(y \ z) * (u * w)) # label("p9loop 0 9883 ID<2522696>"). [assumption]. 10123 T(x,y * (z * (u \ 1))) = T(x,y * (z / u)) # label("p9loop 0 9885 ID<2474162>"). [assumption]. 10129 a((x \ (y \ 1)) \ z,u,w) = a((x \ y) \ z,u,w) # label("p9loop 0 9891 ID<2294449>"). [assumption]. 10132 a((x * L(y,z,y)) \ u,w,v5) = a((x * y) \ u,w,v5) # label("p9loop 0 9894 ID<3060143>"). [assumption]. 10134 a(L(x \ 1,y,z) * u,w,v5) = a(u * L(x,y,z),w,v5) # label("p9loop 0 9896 ID<1146494>"). [assumption]. 10137 a((x * y) \ z,u,L(w,y,y)) = a(y * (x \ z),u,L(w,y,x)) # label("p9loop 0 9899 ID<6099429>"). [assumption]. 10138 a(x * ((y \ (z \ y)) * z),u,w) = a(x * a(z,z,y),u,w) # label("p9loop 0 9900 ID<2683121>"). [assumption]. 10139 a(x * (R(y,z,u) \ w),v5,v6) = a(x * (L(y,z,u) \ w),v5,v6) # label("p9loop 0 9901 ID<2107280>"). [assumption]. 10140 a(x * (T(y,z) * u),w,v5) = a(x * (y * u),w,v5) # label("p9loop 0 9902 ID<65285>"). [assumption]. 10141 a(x \ ((y / z) * u),w,v5) = a(x \ ((z \ y) * u),w,v5) # label("p9loop 0 9903 ID<843356>"). [assumption]. 10142 a(x,(y / z) \ u,w) = a(x,(z \ y) \ u,w) # label("p9loop 0 9904 ID<78877>"). [assumption]. 10144 a(x,L(y,y,z) \ z,u) = a(x,(y \ 1) * z,u) # label("p9loop 0 9906 ID<5635640>"). [assumption]. 10148 a(x,y \ ((y \ 1) \ z),u) = a(x,L(z,y,y),u) # label("p9loop 0 9910 ID<5419802>"). [assumption]. 10149 a(x,y,((z * u) \ z) \ w) = a(x,y,(z \ (u \ z)) \ w) # label("p9loop 0 9911 ID<4533362>"). [assumption]. 10151 a(x,y,(z * (u / w)) \ v5) = a(x,y,(z * (w \ u)) \ v5) # label("p9loop 0 9913 ID<3454544>"). [assumption]. 10153 a(x,y,(z * ((u * w) \ w)) \ v5) = a(x,y,(z * (w \ (u \ w))) \ v5) # label("p9loop 0 9915 ID<7877992>"). [assumption]. 10158 a(x,y,z \ (u \ (w / v5))) = a(x,y,z \ (u \ (v5 \ w))) # label("p9loop 0 9920 ID<347250>"). [assumption]. 10164 x * (a(y,z,u) \ (x \ a(y,z,u))) = a(x,x,a(y,z,u)) # label("p9loop 0 9926 ID<2653860>"). [assumption]. 10167 x / ((y / x) * (y \ x)) = y * ((y / x) \ 1) # label("p9loop 0 9929 ID<7419554>"). [assumption]. 10169 x \ ((x * a(y,z,u)) * (a(y,z,u) \ w)) = L(w,a(y,z,u),a(y,z,u) * x) # label("p9loop 0 9931 ID<5349515>"). [assumption]. 10171 x \ (y * ((y \ z) * (z \ x))) = a(y,y \ z,z \ x) \ 1 # label("p9loop 0 9933 ID<6460594>"). [assumption]. 10176 (x / y) \ ((y / x) \ 1) = y \ ((1 / (x / y)) * x) # label("p9loop 0 9938 ID<2248227>"). [assumption]. 10179 a(x,y \ (z / u),w) = a(x,y \ (u \ z),w) # label("p9loop 0 9941 ID<64800>"). [assumption]. 10180 a(x,y \ ((z \ u) \ u),w) = a(x,y \ z,w) # label("p9loop 0 9942 ID<64950>"). [assumption]. 10189 K(x * y,T(z,u * x)) = K(y * x,T(z,u)) # label("p9loop 0 9951 ID<79915>"). [assumption]. 10190 K(x,T(y * z,u * z)) = K(x,T(z * y,u)) # label("p9loop 0 9952 ID<79922>"). [assumption]. 10191 K(x,T(y * z,y * u)) = K(x,T(z * y,u)) # label("p9loop 0 9953 ID<79923>"). [assumption]. 10192 K(x,T(y * z,u * y)) = K(x,T(z * y,u)) # label("p9loop 0 9954 ID<79925>"). [assumption]. 10193 K(x,T(y / z,y * u)) = K(x,T(z \ y,u)) # label("p9loop 0 9955 ID<80694>"). [assumption]. 10197 K(x / y,T(z,y * u)) = K(y \ x,T(z,u)) # label("p9loop 0 9959 ID<82233>"). [assumption]. 10198 K(T(x,y) \ z,T(u,y)) = K(x \ T(z,y),u) # label("p9loop 0 9960 ID<82696>"). [assumption]. 10201 (R(x,y,z) * u) * x = (x * u) * R(x,y,z) # label("p9loop 0 9963 ID<1184837>"). [assumption]. 10203 (a(x,y,z) \ u) * (a(x,y,z) * w) = (u * a(x,y,z)) * (a(x,y,z) \ w) # label("p9loop 0 9965 ID<5339857>"). [assumption]. 10205 (x * (a(y,z,y) \ u)) \ w = a(y,z,y) * ((x * u) \ w) # label("p9loop 0 9967 ID<767240>"). [assumption]. 10209 (x / (y * z)) * T(y,z) = (x / (z * y)) * y # label("p9loop 0 9971 ID<840989>"). [assumption]. 10214 x * (R(x,y,z) \ K(u,w)) = a(x,y,z) \ K(u,w) # label("p9loop 0 9976 ID<6604594>"). [assumption]. 10216 1 / (x \ (R(y,z,u) \ y)) = (y / x) \ R(y,z,u) # label("p9loop 0 9978 ID<6418357>"). [assumption]. 10228 L(x * K(y,z),u,w) * v5 = L(x,u,w) * (K(y,z) * v5) # label("p9loop 0 9990 ID<52624>"). [assumption]. 10231 L(x,L(y \ 1,z,u),a(w,v5,v6)) = L(x,L(y,z,u),a(w,v5,v6)) # label("p9loop 0 9993 ID<7062626>"). [assumption]. 10238 L(x,y,z * (u \ (w / v5))) = L(x,y,z * (u \ (v5 \ w))) # label("p9loop 0 10001 ID<347262>"). [assumption]. 10246 L(R(x,y,z),u,w) / R(x,v5,v6) = R(x,v5,v6) \ L(R(x,y,z),u,w) # label("p9loop 0 10009 ID<7988876>"). [assumption]. 10258 T(x,y \ ((z \ u) \ w)) = T(x,(y \ (u \ z)) * w) # label("p9loop 0 10021 ID<2498218>"). [assumption]. 10261 T(x,y) * R(y,x,x \ 1) = x * ((x * y) * (x \ 1)) # label("p9loop 0 10024 ID<1746601>"). [assumption]. 10262 a(x,y,L(z * u,u,u) * w) = a(x,y,((u \ 1) \ z) * w) # label("p9loop 0 10025 ID<8005016>"). [assumption]. 10265 a(x \ y,z,y \ x) = a(x * y,z,y \ x) # label("p9loop 0 10028 ID<1065153>"). [assumption]. 10270 a(x \ (a(y,z,u) * w),v5,v6) = a(x \ (a(u,z,y) * w),v5,v6) # label("p9loop 0 10034 ID<6480403>"). [assumption]. 10274 a(x,((y \ z) \ z) * u,w) = a(x,y * u,w) # label("p9loop 0 10038 ID<461955>"). [assumption]. 10275 a(x,x,L(L(x,y,z) \ u,w,v5)) = a(x,x,L(x \ u,w,v5)) # label("p9loop 0 10039 ID<6276788>"). [assumption]. 10277 a(x,y \ ((z / u) \ w),v5) = a(x,y \ ((u \ z) \ w),v5) # label("p9loop 0 10041 ID<1275928>"). [assumption]. 10279 a(x,y,(z * (u \ (z \ u))) \ w) = a(x,y,w * a(u,z,z)) # label("p9loop 0 10043 ID<4970991>"). [assumption]. 10280 a(x,y,(z * T(u,w)) \ v5) = a(x,y,(z * u) \ v5) # label("p9loop 0 10044 ID<71699>"). [assumption]. 10282 a(x,y,x) * ((z * x) \ u) = (z * L(x,y,x)) \ u # label("p9loop 0 10046 ID<1127814>"). [assumption]. 10291 x \ (((x \ y) \ y) * z) = K(x,x \ y) * z # label("p9loop 0 10055 ID<862182>"). [assumption]. 10298 T(x,T(y \ z,z * u)) = T(x,T(z / y,u)) # label("p9loop 0 10063 ID<88372>"). [assumption]. 10301 T(x,T(y \ z,y * u)) = T(x,T(z / y,u)) # label("p9loop 0 10066 ID<88558>"). [assumption]. 10304 T(T(x * y,z),T(x,y)) = T(T(x * y,x),z) # label("p9loop 0 10069 ID<90199>"). [assumption]. 10305 T(x,K(y * z,z) * u) = T(x,K(y,z) * u) # label("p9loop 0 10070 ID<90660>"). [assumption]. 10307 T(x,K(y * z,y) * u) = T(x,u * K(y,z)) # label("p9loop 0 10072 ID<94700>"). [assumption]. 10309 x * K(y,T(z,x * u)) = K(y,T(z,u)) * x # label("p9loop 0 10074 ID<98993>"). [assumption]. 10314 T(x,T(y / z,y * u)) = T(x,T(z \ y,u)) # label("p9loop 0 10079 ID<109945>"). [assumption]. 10316 x \ T(x * y,K(z,u)) = x * T(x \ y,K(z,u)) # label("p9loop 0 10081 ID<1967899>"). [assumption]. 10317 ((((x \ y) / y) * x) \ z) \ z = ((x \ y) / y) * x # label("p9loop 0 10082 ID<414566>"). [assumption]. 10320 (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z) # label("p9loop 0 10085 ID<5092290>"). [assumption]. 10326 ((x / y) * z) \ K(y,y \ x) = ((y \ x) * z) \ 1 # label("p9loop 0 10091 ID<1313077>"). [assumption]. 10327 ((x / y) \ R(x,z,u)) \ 1 = y \ (R(x,z,u) \ x) # label("p9loop 0 10092 ID<6419048>"). [assumption]. 10338 (x * ((y * x) \ y)) \ z = a(y,x,x \ 1) * z # label("p9loop 0 10103 ID<3921182>"). [assumption]. 10345 (x / L(y,z,u)) * K(w,y) = x / L(T(y,w),z,u) # label("p9loop 0 10110 ID<754942>"). [assumption]. 10355 (x \ a(x,x,y)) * x = (x \ 1) * R(x,x,y) # label("p9loop 0 10120 ID<2179492>"). [assumption]. 10356 (x \ y) * (((x \ y) \ y) / z) = (y / x) * (x / z) # label("p9loop 0 10121 ID<4179741>"). [assumption]. 10357 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)) # label("p9loop 0 10122 ID<203446>"). [assumption]. 10359 x \ (((x \ y) / y) \ 1) = y \ (x * ((1 / x) * y)) # label("p9loop 0 10124 ID<4252270>"). [assumption]. 10364 K(x,(y \ (z / u)) * w) = K(x,(y \ z) * (u \ w)) # label("p9loop 0 10129 ID<2324928>"). [assumption]. 10366 K(x,y * ((z * u) \ w)) = K(x,y * (u \ (z \ w))) # label("p9loop 0 10131 ID<2326012>"). [assumption]. 10370 L((x * a(y,z,x)) * u,z,a(y,x,x)) = x * (u * a(y,z,x)) # label("p9loop 0 10134 ID<6463653>"). [assumption]. 10371 (x * (y * y)) \ ((y * y) * z) = T(x,y * y) \ z # label("p9loop 0 10135 ID<1082992>"). [assumption]. 10381 L(x,((y * z) \ z) \ u,w) = L(x,(z \ (y \ z)) \ u,w) # label("p9loop 0 10145 ID<3674905>"). [assumption]. 10382 L(x,(T(y,z) \ u) \ w,v5) = L(x,(y \ u) \ w,v5) # label("p9loop 0 10146 ID<153042>"). [assumption]. 10386 L(x,y * (a(z,u,w) \ v5),v6) = L(x,y * (a(z,u,w) * v5),v6) # label("p9loop 0 10150 ID<5716938>"). [assumption]. 10387 L(x,y \ L(T(z,u),w,v5),v6) = L(x,y \ L(z,w,v5),v6) # label("p9loop 0 10151 ID<69979>"). [assumption]. 10389 L(x,y,z * (R(u,w,v5) \ v6)) = L(x,y,z * (L(u,w,v5) \ v6)) # label("p9loop 0 10153 ID<7814910>"). [assumption]. 10393 L(x,y,a(z,u,w) * v5) = L(x,y,v5 * a(w,u,z)) # label("p9loop 0 10157 ID<5553755>"). [assumption]. 10397 R(R(x,y,z),L(x,x,u),w) = R(R(x,x,w),y,z) # label("p9loop 0 10161 ID<5412486>"). [assumption]. 10399 R(x,y,(z / u) \ w) = R(x,y,(u \ z) \ w) # label("p9loop 0 10163 ID<1020546>"). [assumption]. 10406 (x \ y) \ ((x * y) / x) = T(T(x,y),x \ y) # label("p9loop 0 10170 ID<234034>"). [assumption]. 10407 T(T(x,y),T(x,z) \ u) = T(T(x,x \ u),y) # label("p9loop 0 10171 ID<493443>"). [assumption]. 10410 T(x * (y / (x * y)),z) = x * (y / (x * y)) # label("p9loop 0 10174 ID<345070>"). [assumption]. 10415 T(x / (y * z),z * y) = T((y * z) \ x,K(y,z)) # label("p9loop 0 10179 ID<512866>"). [assumption]. 10424 K(T(x,y) * z,T(u,y)) = K(x * T(z,y),u) # label("p9loop 0 10188 ID<113742>"). [assumption]. 10425 T(x,y * T(1 / z,u)) = T(x,y / T(z,u)) # label("p9loop 0 10189 ID<113936>"). [assumption]. 10426 T(x,y \ T(z,T(u,w))) = T(x,y \ T(z,u)) # label("p9loop 0 10190 ID<115307>"). [assumption]. 10427 T(x,y \ T(z \ u,z)) = T(x,y \ (u / z)) # label("p9loop 0 10191 ID<115404>"). [assumption]. 10429 (x / y) \ K(x,y \ x) = T(x / y,x) \ 1 # label("p9loop 0 10193 ID<116473>"). [assumption]. 10430 x \ K(x * y,x \ 1) = y / (y / (x \ 1)) # label("p9loop 0 10194 ID<116524>"). [assumption]. 10438 T(x,y * (z \ (u \ 1))) = T(x,y / (u * z)) # label("p9loop 0 10202 ID<2495866>"). [assumption]. 10448 a(x * ((y \ (z / u)) * w),v5,v6) = a(x * ((y \ (u \ z)) * w),v5,v6) # label("p9loop 0 10213 ID<2952566>"). [assumption]. 10449 a(x,L((y / z) \ u,w,v5),v6) = a(x,L((z \ y) \ u,w,v5),v6) # label("p9loop 0 10214 ID<6542458>"). [assumption]. 10452 a(x,y,(z * ((u * w) \ u)) \ v5) = a(x,y,(z * (u \ (w \ u))) \ v5) # label("p9loop 0 10218 ID<7878799>"). [assumption]. 10453 a(x,y,(z \ (K(u,w) * v5)) * v6) = a(x,y,(z \ v5) * v6) # label("p9loop 0 10219 ID<63126>"). [assumption]. 10455 a(x,y,L(z,u,u * x)) = a(x,y,L(z,u,u)) # label("p9loop 0 10221 ID<6101862>"). [assumption]. 10460 a(x,y,z) / (u * a(x,y,z)) = a(x,y,z) \ (a(x,y,z) / u) # label("p9loop 0 10226 ID<2078876>"). [assumption]. 10462 x * (a(y,z,x) * (x \ u)) = a(y,z,x) * u # label("p9loop 0 10228 ID<3829014>"). [assumption]. 10467 a(x,y,x) * (z \ L(x,u,w)) = z \ L(R(x,y,x),u,w) # label("p9loop 0 10233 ID<626268>"). [assumption]. 10468 ((R(x,y,z) \ x) / u) \ 1 = (x / u) \ R(x,y,z) # label("p9loop 0 10234 ID<6561820>"). [assumption]. 10472 L(x / y,z,u) / (y \ x) = (y \ x) \ L(x / y,z,u) # label("p9loop 0 10238 ID<2143679>"). [assumption]. 10474 a(x,y,z \ 1) \ 1 = z * L(z \ 1,y,x) # label("p9loop 0 10240 ID<6592508>"). [assumption]. 10475 T((1 / x) * (x / y),y) = L(y,y \ x,x) \ 1 # label("p9loop 0 10241 ID<998925>"). [assumption]. 10479 (a(x,y,z) * u) * z = (u * z) * a(x,y,z) # label("p9loop 0 10245 ID<3786439>"). [assumption]. 10481 a(x,y * a(x,z,u),u) = a(x,y,u) # label("p9loop 0 10247 ID<8278766>"). [assumption]. 10482 a(x,y * a(z,u,w),a(w,v5,z)) = a(x,v5,a(z,y,w)) # label("p9loop 0 10248 ID<8280227>"). [assumption]. 10492 (x / (y / z)) * ((y / z) * u) = (x / (z \ y)) * ((z \ y) * u) # label("p9loop 0 10258 ID<1021041>"). [assumption]. 10493 (x \ (y * z)) * T(z,y) = (x \ (z * y)) * z # label("p9loop 0 10259 ID<3115017>"). [assumption]. 10495 (x \ y) * (R(x \ y,z,u) \ x) = R(y / x,z,u) \ y # label("p9loop 0 10261 ID<2233421>"). [assumption]. 10496 (x \ y) * (T(x,x \ y) / z) = (y / x) * (x / z) # label("p9loop 0 10262 ID<864561>"). [assumption]. 10502 K(x,y) * (((z / x) \ u) * w) = ((z / T(x,y)) \ u) * w # label("p9loop 0 10268 ID<4226121>"). [assumption]. 10503 K(x,y) * ((x / z) * u) = (T(x,y) / z) * u # label("p9loop 0 10269 ID<356030>"). [assumption]. 10514 L(x,((y * z) \ y) \ u,w) = L(x,(y \ (z \ y)) \ u,w) # label("p9loop 0 10281 ID<4326338>"). [assumption]. 10519 L(x,y,(z * R(u,w,v5)) * v6) = L(x,y,(z * L(u,w,v5)) * v6) # label("p9loop 0 10286 ID<551565>"). [assumption]. 10521 L(x,y,a(y,z * y,u)) = L(x,y,a(y,z,u)) # label("p9loop 0 10288 ID<6866778>"). [assumption]. 10529 R(x,y,z * (u \ (w / v5))) = R(x,y,z * (u \ (v5 \ w))) # label("p9loop 0 10296 ID<3117824>"). [assumption]. 10530 R(x,y,z) * T(z * y,z) = (x * y) * R(z,y,z) # label("p9loop 0 10297 ID<532326>"). [assumption]. 10533 T(x * x,y) \ (z * u) = (T(x * x,y) \ z) * u # label("p9loop 0 10300 ID<195591>"). [assumption]. 10536 K(x \ (y \ z),T(u,z)) = K(z / (y * x),u) # label("p9loop 0 10303 ID<127731>"). [assumption]. 10537 K(x * T(y,z),T(u,z)) = K(T(x,z) * y,u) # label("p9loop 0 10304 ID<128469>"). [assumption]. 10540 K(x,y * (z \ K(y,u))) = K(x,T(y,u) / z) # label("p9loop 0 10307 ID<140492>"). [assumption]. 10547 T(x / (1 / (1 / y)),y) = (1 / (1 / y)) \ x # label("p9loop 0 10314 ID<166278>"). [assumption]. 10567 a((x * R(y,z,u)) \ w,v5,v6) = a((x * L(y,z,u)) \ w,v5,v6) # label("p9loop 0 10334 ID<4288929>"). [assumption]. 10568 a(x * (y * a(z,u,w)),v5,v6) = a(x * (y * a(w,u,z)),v5,v6) # label("p9loop 0 10335 ID<5553754>"). [assumption]. 10571 a(x,R(y,z,u) \ w,v5) = a(x,L(y,z,u) \ w,v5) # label("p9loop 0 10338 ID<5602368>"). [assumption]. 10574 a(x,y \ (z * (u / w)),v5) = a(x,y \ (z * (w \ u)),v5) # label("p9loop 0 10341 ID<1078707>"). [assumption]. 10575 a(x,y \ (z \ (u / w)),v5) = a(x,y \ (z \ (w \ u)),v5) # label("p9loop 0 10342 ID<347255>"). [assumption]. 10578 a(x,y,L((z / u) * w,v5,v6)) = a(x,y,L((u \ z) * w,v5,v6)) # label("p9loop 0 10345 ID<4950195>"). [assumption]. 10580 a(x,y,z * (u \ a(w,v5,v6 \ 1))) = a(x,y,(u \ a(v6,v5,w)) * z) # label("p9loop 0 10347 ID<5945075>"). [assumption]. 10581 a(x,y,z * a(u,u \ 1,w)) = a(x,y,z * a(u,u,w)) # label("p9loop 0 10349 ID<2804107>"). [assumption]. 10585 a(x,y,z) / (a(x,y,z) * u) = a(x,y,z) \ (a(x,y,z) / u) # label("p9loop 0 10353 ID<1800672>"). [assumption]. 10591 x * R(x \ (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1) # label("p9loop 0 10359 ID<2809053>"). [assumption]. 10592 x / L(y * K(z,y),u,w) = (x / L(y,u,w)) * K(y,z) # label("p9loop 0 10360 ID<1011494>"). [assumption]. 10593 x / (y * (z / (y * z))) = (y * (z / (y * z))) \ x # label("p9loop 0 10361 ID<345071>"). [assumption]. 10612 (x * ((y * (1 / z)) * x)) / x = L(x,z \ y,x) * (y * (1 / z)) # label("p9loop 0 10381 ID<1608212>"). [assumption]. 10616 (x * y) / ((y \ z) \ z) = x * K(y \ z,y) # label("p9loop 0 10385 ID<521990>"). [assumption]. 10620 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1) # label("p9loop 0 10389 ID<235225>"). [assumption]. 10630 K(x,y) * ((y \ z) / u) = (T(y,x) \ z) / u # label("p9loop 0 10399 ID<458055>"). [assumption]. 10634 L(K(x,y) / z,u,w) \ K(x,y) = L(1 / z,u,w) \ 1 # label("p9loop 0 10403 ID<502217>"). [assumption]. 10637 a(x,y,x) * L(z,u,w) = L(a(x,y,x) * z,u,w) # label("p9loop 0 10406 ID<478168>"). [assumption]. 10641 L(x \ y,x,z) \ (z * y) = T(z * x,x \ y) # label("p9loop 0 10410 ID<344158>"). [assumption]. 10643 L(x,(y \ (z / u)) \ w,v5) = L(x,(y \ (u \ z)) \ w,v5) # label("p9loop 0 10412 ID<347264>"). [assumption]. 10644 L(x,(y \ T(z,u)) \ w,v5) = L(x,(y \ z) \ w,v5) # label("p9loop 0 10413 ID<354218>"). [assumption]. 10645 L(x,x \ y,y \ z) \ z = T((z / y) * (y / x),x) # label("p9loop 0 10414 ID<344881>"). [assumption]. 10646 L(x,y,a(z,u,(w \ 1) \ v5)) = L(x,y,a(z,u,w \ v5)) # label("p9loop 0 10415 ID<2015844>"). [assumption]. 10647 L(x,y * a(z,u,y),w) = L(x,L(y,u,z),w) # label("p9loop 0 10416 ID<6431655>"). [assumption]. 10648 L(x,y \ ((z / u) \ w),v5) = L(x,y \ ((u \ z) \ w),v5) # label("p9loop 0 10417 ID<4762711>"). [assumption]. 10650 L(x,y,(T(z,u) \ w) \ v5) = L(x,y,(z \ w) \ v5) # label("p9loop 0 10419 ID<2193082>"). [assumption]. 10652 K(x,y) * ((z \ 1) \ u) = (z \ K(y,x)) \ u # label("p9loop 0 10421 ID<193430>"). [assumption]. 10655 x * (y * K(z,T(y,x))) = K(z,y) * (x * y) # label("p9loop 0 10424 ID<198103>"). [assumption]. 10661 x \ (K(y,T(z,x)) * u) = K(y,z) * (x \ u) # label("p9loop 0 10430 ID<210963>"). [assumption]. 10663 K(x,T(y,z)) * T(u,z) = T(K(x,y) * u,z) # label("p9loop 0 10432 ID<211012>"). [assumption]. 10667 T(T(x / T(y,x),z),y) = T(y \ T(x,y),z) # label("p9loop 0 10436 ID<229732>"). [assumption]. 10668 T(x,y) * (z * K(y,x)) = T(x * z,K(x,y)) # label("p9loop 0 10437 ID<230556>"). [assumption]. 10669 L(x,y,z * ((u \ w) * u)) = L(x,y,z * w) # label("p9loop 0 10438 ID<232274>"). [assumption]. 10670 a(((x \ y) * x) * z,u,w) = a(z * y,u,w) # label("p9loop 0 10439 ID<232435>"). [assumption]. 10672 L(x,y,L(R(z,u,w),v5,v6)) = L(x,y,L(L(z,u,w),v5,v6)) # label("p9loop 0 10441 ID<542367>"). [assumption]. 10673 L(x,y,a(z,u \ w,u)) = L(x,y,a(z,u * w,u)) # label("p9loop 0 10442 ID<6233413>"). [assumption]. 10675 L(x,y,z * (R(u,w,v5) * v6)) = L(x,y,z * (L(u,w,v5) * v6)) # label("p9loop 0 10444 ID<551572>"). [assumption]. 10676 L(x,y,z * (u * T(w,v5))) = L(x,y,(u * w) * z) # label("p9loop 0 10445 ID<213532>"). [assumption]. 10683 R(x,(y / z) \ u,w) = R(x,(z \ y) \ u,w) # label("p9loop 0 10452 ID<1020578>"). [assumption]. 10685 R(x,y,z * ((u * w) \ v5)) = R(x,y,z * ((w * u) \ v5)) # label("p9loop 0 10454 ID<510519>"). [assumption]. 10690 T(x * K(y,z),T(y,z)) = T(K(y,z) * x,y) # label("p9loop 0 10459 ID<758106>"). [assumption]. 10695 T(x,y \ T(T(z,u),w)) = T(x,y \ T(z,w * u)) # label("p9loop 0 10464 ID<1089044>"). [assumption]. 10700 a(x * (a(y,z,u) * w),v5,v6) = a(x * (w * a(u,z,y)),v5,v6) # label("p9loop 0 10469 ID<5553713>"). [assumption]. 10703 a(x * y,z,a(z,u,L(y,w,v5))) = a(z,u,a(y,z,L(x,w,v5))) # label("p9loop 0 10472 ID<8317743>"). [assumption]. 10704 a(x,(L(y,z,u) \ 1) * w,v5) = a(x,L(y \ 1,z,u) * w,v5) # label("p9loop 0 10473 ID<7688849>"). [assumption]. 10705 a(x,x,(x \ y) * z) = a(x,x,y * (x \ z)) # label("p9loop 0 10474 ID<2631573>"). [assumption]. 10707 a(x,x,x \ ((x \ y) \ z)) = a(x,x,y \ z) # label("p9loop 0 10476 ID<5447532>"). [assumption]. 10708 a(x,y \ ((z * u) * w),v5) = a(x,y \ ((u * z) * w),v5) # label("p9loop 0 10477 ID<515724>"). [assumption]. 10709 a(x,y \ (z * T(u,w)),v5) = a(x,y \ (z * u),v5) # label("p9loop 0 10478 ID<461952>"). [assumption]. 10710 a(x,y \ (z \ T(u,w)),v5) = a(x,y \ (z \ u),v5) # label("p9loop 0 10479 ID<354211>"). [assumption]. 10711 a(x,y,((z * u) \ w) * v5) = a(x,y,((u * z) \ w) * v5) # label("p9loop 0 10480 ID<510076>"). [assumption]. 10712 a(x,y,z \ a(u,u \ 1,w)) = a(x,y,z \ a(u,u,w)) # label("p9loop 0 10481 ID<5109719>"). [assumption]. 10713 a(x,y,L(z \ 1,z,u) * u) = a(x,y,z \ u) # label("p9loop 0 10482 ID<1803614>"). [assumption]. 10715 a(x,y,L(z \ 1,u,z) * w) = a(x,y,(z \ 1) * w) # label("p9loop 0 10484 ID<911558>"). [assumption]. 10716 a(x,y,a(z,u,w)) * a(w,u,L(x,y,z)) = a(w,u,x) # label("p9loop 0 10485 ID<6176689>"). [assumption]. 10724 x * (y * (x / (y * x))) = y \ ((y \ 1) \ x) # label("p9loop 0 10493 ID<3294064>"). [assumption]. 10732 ((x \ 1) \ y) * (x \ 1) = y * K(x * y,x \ 1) # label("p9loop 0 10501 ID<201672>"). [assumption]. 10733 ((x \ 1) \ y) * K(z,x * y) = (x \ K(x * y,z)) \ y # label("p9loop 0 10502 ID<370725>"). [assumption]. 10734 ((x \ y) * a(x,x \ y,y \ (x * z))) \ z = y \ (x * z) # label("p9loop 0 10503 ID<3660961>"). [assumption]. 10743 (x * (y / (x * y))) * z = z * (x * (y / (x * y))) # label("p9loop 0 10512 ID<345066>"). [assumption]. 10744 (x * (y \ (y / x))) \ z = z * a(y * x,x,x \ 1) # label("p9loop 0 10513 ID<3934573>"). [assumption]. 10746 (x * a(y,z,y \ 1)) \ u = a(y,z,y \ 1) \ (x \ u) # label("p9loop 0 10515 ID<1303235>"). [assumption]. 10748 (x / (1 / y)) * K(z,u) = x / (K(u,z) / y) # label("p9loop 0 10517 ID<397658>"). [assumption]. 10753 (x \ y) \ (((y \ x) \ 1) * z) = ((y \ x) * (x \ y)) \ z # label("p9loop 0 10522 ID<5268614>"). [assumption]. 10756 K(x * (L(y,z,u) \ w),v5) = K(x * (y \ w),v5) # label("p9loop 0 10525 ID<2494878>"). [assumption]. 10761 K(x,y \ ((z * u) \ w)) = K(x,y \ (u \ (z \ w))) # label("p9loop 0 10530 ID<2326719>"). [assumption]. 10776 T(x,y) * K(z,T(u,y)) = T(x * K(z,u),y) # label("p9loop 0 10545 ID<237237>"). [assumption]. 10780 T(x,T(y \ (z / u),u)) = T(x,u \ (y \ z)) # label("p9loop 0 10549 ID<263164>"). [assumption]. 10781 T(T(x,y) * z,K(x,y)) = x * (z * K(x,y)) # label("p9loop 0 10550 ID<266340>"). [assumption]. 10784 (x / y) * K(z,T(u,y)) = x / (y * K(u,z)) # label("p9loop 0 10553 ID<300241>"). [assumption]. 10785 (x / y) * (K(z,y) * u) = (x / T(y,z)) * u # label("p9loop 0 10554 ID<301462>"). [assumption]. 10787 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)) # label("p9loop 0 10556 ID<305899>"). [assumption]. 10791 x * (K(y,x) * K(z,y)) = (y * x) / T(y,z) # label("p9loop 0 10560 ID<326663>"). [assumption]. 10794 L(x \ (x / y),L(y \ 1,y,x),z) = L(x \ (x / y),y \ 1,z) # label("p9loop 0 10563 ID<8659668>"). [assumption]. 10796 L(x \ y,x,a(x,z,u)) = a(x,z,u) * (R(x,z,u) \ y) # label("p9loop 0 10565 ID<6604254>"). [assumption]. 10799 L(x,y,(z * T(u,w)) * v5) = L(x,y,(z * u) * v5) # label("p9loop 0 10568 ID<70750>"). [assumption]. 10800 L(x,y,(z \ (u / w)) \ v5) = L(x,y,(z \ (w \ u)) \ v5) # label("p9loop 0 10569 ID<3739292>"). [assumption]. 10804 L(x,y,a(z,u,w)) * a(z,u,L(w,y,x)) = x * a(z,u,w) # label("p9loop 0 10573 ID<6902195>"). [assumption]. 10807 R(x / (y / z),z \ y,x \ u) \ u = (y / z) * (x \ u) # label("p9loop 0 10576 ID<3117803>"). [assumption]. 10808 R(x,((y \ z) \ z) \ u,w) = R(x,y \ u,w) # label("p9loop 0 10577 ID<853834>"). [assumption]. 10809 R(x,x \ (y \ z),y) = z / ((x \ (z / y)) * y) # label("p9loop 0 10578 ID<1658611>"). [assumption]. 10810 R(x,y,z \ ((u / w) * v5)) = R(x,y,z \ ((w \ u) * v5)) # label("p9loop 0 10580 ID<4759074>"). [assumption]. 10811 R(x,y,z \ a(u,w,v5 \ 1)) = R(x,y,z \ a(u,w,v5)) # label("p9loop 0 10581 ID<7523232>"). [assumption]. 10812 R(x,y,z \ (u \ (w / v5))) = R(x,y,z \ (u \ (v5 \ w))) # label("p9loop 0 10582 ID<4727681>"). [assumption]. 10821 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x) # label("p9loop 0 10591 ID<1251633>"). [assumption]. 10823 T(x,y) * ((1 / T(x,y)) * z) = x * ((1 / x) * z) # label("p9loop 0 10593 ID<73666>"). [assumption]. 10826 a(x,((y * z) * (y \ 1)) \ u,w) = a(x,L(z,y,y) \ u,w) # label("p9loop 0 10596 ID<1684658>"). [assumption]. 10829 a(x,(y * y) * (y \ z),u) = a(x,(y \ 1) \ z,u) # label("p9loop 0 10599 ID<1051974>"). [assumption]. 10830 a(x,y \ (T(z,u) \ w),v5) = a(x,y \ (z \ w),v5) # label("p9loop 0 10600 ID<153027>"). [assumption]. 10832 a(x,y,L((z \ 1) * u,z,u)) = a(x,y,z \ u) # label("p9loop 0 10602 ID<6370747>"). [assumption]. 10835 a(x,y,a(z,u,w)) * z = L(z,y,a(w,u,x)) # label("p9loop 0 10605 ID<6139541>"). [assumption]. 10836 a(x,y,z * (((u * u) \ w) * v5)) = a(x,y,z * (w * ((u * u) \ v5))) # label("p9loop 0 10606 ID<988551>"). [assumption]. 10837 a(x,y,z * (R(u,w,v5) \ v6)) = a(x,y,z * (L(u,w,v5) \ v6)) # label("p9loop 0 10607 ID<4533863>"). [assumption]. 10838 a(x,y,z * (T(u,w) * v5)) = a(x,y,z * (u * v5)) # label("p9loop 0 10608 ID<63506>"). [assumption]. 10839 a(x,y,z \ (u \ z)) != w | a(x,y,L(u \ 1,u,z)) = w # label("p9loop 0 10609 ID<4198556>"). [assumption]. 10840 a(x,y,z \ (u * a(w,v5,u))) = a(x,y,z \ L(u,v5,w)) # label("p9loop 0 10610 ID<6751483>"). [assumption]. 10843 a(x,y,z) \ (u * L(w,u,a(x,y,z))) = (a(x,y,z) \ u) * w # label("p9loop 0 10613 ID<5830356>"). [assumption]. 10846 R(x \ 1,x \ 1,y) = R(1 / x,x,x \ y) # label("p9loop 0 10616 ID<2249636>"). [assumption]. 10850 (1 / (x / y)) \ (y / x) = (y / x) * (x / y) # label("p9loop 0 10620 ID<1936393>"). [assumption]. 10861 (x * y) * a(z,y,L(y,u,w)) = x * (y * a(z,y,L(y,u,w))) # label("p9loop 0 10631 ID<5857667>"). [assumption]. 10862 (x * y) \ (((x * y) / x) * z) = L(x \ z,x,y) # label("p9loop 0 10632 ID<1076301>"). [assumption]. 10870 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y) # label("p9loop 0 10640 ID<1874854>"). [assumption]. 10874 K(x \ 1,y) * ((x \ z) / z) = T((x \ z) / z,y) # label("p9loop 0 10644 ID<1504819>"). [assumption]. 10888 L(x,y * ((z * u) \ u),w) = L(x,y * (u \ (z \ u)),w) # label("p9loop 0 10658 ID<4170809>"). [assumption]. 10889 L(x,y,z * ((u \ 1) \ w)) = L(x,y,(u \ w) * z) # label("p9loop 0 10659 ID<1273777>"). [assumption]. 10891 (x \ y) * ((y * x) \ y) = (x \ y) / x # label("p9loop 0 10661 ID<8731236>"). [assumption]. 10893 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x) # label("p9loop 0 10663 ID<331479>"). [assumption]. 10894 L(x,y * (z * u),w) = L(x,y * (u * z),w) # label("p9loop 0 10664 ID<339054>"). [assumption]. 10896 R(x,(y / z) * u,w) = R(x,(z \ y) * u,w) # label("p9loop 0 10666 ID<343098>"). [assumption]. 10900 K(x,y) * K(x,K(z,u)) = K(x,y * K(z,u)) # label("p9loop 0 10670 ID<348343>"). [assumption]. 10906 K(x \ (y \ 1),x) / y = (x \ (1 / y)) * x # label("p9loop 0 10676 ID<358686>"). [assumption]. 10907 x / (y * K(z,T(x,u))) = T(x,T(z,u)) / y # label("p9loop 0 10677 ID<362324>"). [assumption]. 10911 L(x,y,(z * (u \ (z \ u))) \ w) = L(x,y,a(z,z,u) * w) # label("p9loop 0 10681 ID<5145128>"). [assumption]. 10914 L(x,y,z \ (u \ (z \ u))) = L(x,y,a(z,z,u)) # label("p9loop 0 10684 ID<2198502>"). [assumption]. 10915 L(x,y,z) * (u * a(x,w,v5)) = a(x,w,v5) * (L(x,y,z) * u) # label("p9loop 0 10685 ID<2632182>"). [assumption]. 10918 R(T(x / (x / y),z),u,w) \ x = x / R(T(y,z),u,w) # label("p9loop 0 10688 ID<16440>"). [assumption]. 10919 R(T(x,y),z,u) * T(w,x) = K(x,y) * (w * R(x,z,u)) # label("p9loop 0 10689 ID<411356>"). [assumption]. 10921 R(x,y,(z \ 1) \ (z \ u)) = R(x,y,L(u,z,z)) # label("p9loop 0 10691 ID<5947202>"). [assumption]. 10922 R(x,y,z \ (u \ T(w,v5))) = R(x,y,z \ (u \ w)) # label("p9loop 0 10692 ID<362839>"). [assumption]. 10926 T((x \ (x / y)) * y,z) = (x \ (x / y)) * y # label("p9loop 0 10696 ID<720101>"). [assumption]. 10927 T((x \ y) / T(y,x),y) = T(y,x) \ (x \ y) # label("p9loop 0 10697 ID<695154>"). [assumption]. 10933 T(x / ((y \ 1) \ 1),y) = ((y \ 1) \ 1) \ x # label("p9loop 0 10703 ID<370759>"). [assumption]. 10936 T(x,x \ 1) \ L(x,y,z) = (x \ 1) * L(x,y,z) # label("p9loop 0 10706 ID<844366>"). [assumption]. 10939 T(x,y * (L(z,u,w) \ v5)) = T(x,y * (z \ v5)) # label("p9loop 0 10709 ID<2521055>"). [assumption]. 10941 T(x,y \ (z \ (z / u))) = T(x,y \ (u \ 1)) # label("p9loop 0 10711 ID<2498516>"). [assumption]. 10943 T(x,y) * R(K(y,x) * z,u,w) = x * R(z,u,w) # label("p9loop 0 10713 ID<209793>"). [assumption]. 10955 a(x,x,y) \ (T(x,z) \ u) = R(T(x,z),x,y) \ u # label("p9loop 0 10726 ID<5758698>"). [assumption]. 10957 a(x,y,L(z * u,u,z)) = a(x,y,(u \ 1) \ z) # label("p9loop 0 10728 ID<6212484>"). [assumption]. 10960 x * (y * a(x,z,z \ 1)) = R(x,z,z \ 1) * y # label("p9loop 0 10731 ID<6591585>"). [assumption]. 10961 (L(x,y,z) \ 1) * u = (x \ a(z,y,x)) * u # label("p9loop 0 10732 ID<6651680>"). [assumption]. 10963 a(x,y,L(z / u,w,v5) \ v6) = a(x,y,L(u \ z,w,v5) \ v6) # label("p9loop 0 10734 ID<205926>"). [assumption]. 10964 x * (y \ (1 / (z \ (z / y)))) = (y * (z \ (z / y))) \ x # label("p9loop 0 10735 ID<8100637>"). [assumption]. 10966 x / T((1 / y) * x,y) = ((1 / y) * x) \ x # label("p9loop 0 10737 ID<777217>"). [assumption]. 10970 L(R(x,y,z),u,w) / x = x \ L(R(x,y,z),u,w) # label("p9loop 0 10741 ID<496885>"). [assumption]. 10974 ((x * (y * z)) * L(u,z,y)) / (y * (z * u)) = R(x,y * z,L(u,z,y)) # label("p9loop 0 10745 ID<1053942>"). [assumption]. 10982 x * (K(y,z) * K(z,x)) = (z * x) / T(z,y) # label("p9loop 0 10753 ID<410415>"). [assumption]. 10983 (L(x * x,y,z) * u) * w = L(x * x,y,z) * (u * w) # label("p9loop 0 10754 ID<542912>"). [assumption]. 10987 (x * (y * T(z,u))) / (x * y) = T((x * (y * z)) / (x * y),u) # label("p9loop 0 10758 ID<1053947>"). [assumption]. 10990 (x * x) * (y * (1 / x)) = x * T(y,x \ 1) # label("p9loop 0 10761 ID<987111>"). [assumption]. 10992 (x \ 1) * (L(x \ 1,x,y) \ z) = a(y,x,x \ 1) * z # label("p9loop 0 10763 ID<5257021>"). [assumption]. 10993 (x \ T(x * (y / z),u)) * z = (x \ z) * T((x \ z) \ y,u) # label("p9loop 0 10764 ID<2781214>"). [assumption]. 10994 (x \ 1) * T(x * y,x) = ((x \ 1) * y) * x # label("p9loop 0 10765 ID<1726856>"). [assumption]. 10995 a(x * y,L(y,x,x),z) = a(x * y,y,z) # label("p9loop 0 10766 ID<8931887>"). [assumption]. 11005 K(x,y \ (L(z,u,w) \ v5)) = K(x,y \ (z \ v5)) # label("p9loop 0 10776 ID<2324016>"). [assumption]. 11006 K(x,y) * (R(x,z,u) * w) = R(T(x,y),z,u) * w # label("p9loop 0 10777 ID<52540>"). [assumption]. 11012 T(x * K(x * y,y),y) = y \ T(x * y,y) # label("p9loop 0 10783 ID<377241>"). [assumption]. 11013 x \ T(x * (y \ 1),z) = y \ K(x / y,z) # label("p9loop 0 10784 ID<382418>"). [assumption]. 11015 T(x * K(y,z),x \ 1) = (x \ K(z,y)) \ 1 # label("p9loop 0 10786 ID<397224>"). [assumption]. 11019 (x / (y / z)) * (z \ y) = x * K(z \ y,z) # label("p9loop 0 10790 ID<413325>"). [assumption]. 11023 a(x,(y * z) * u,w) = a(x,(z * y) * u,w) # label("p9loop 0 10794 ID<462014>"). [assumption]. 11024 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u) # label("p9loop 0 10795 ID<473184>"). [assumption]. 11026 T(x * K(y,z),x \ z) = (x \ T(z,y)) \ z # label("p9loop 0 10797 ID<493638>"). [assumption]. 11028 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y # label("p9loop 0 10799 ID<506534>"). [assumption]. 11031 L(T(x / T(y,z),y),u,w) \ v5 = K(y,z) * (L(y \ x,u,w) \ v5) # label("p9loop 0 10802 ID<4528374>"). [assumption]. 11036 L(x,y * ((z * u) \ z),w) = L(x,y * (z \ (u \ z)),w) # label("p9loop 0 10807 ID<4714673>"). [assumption]. 11037 L(x,y * ((z / u) \ w),v5) = L(x,y * ((u \ z) \ w),v5) # label("p9loop 0 10808 ID<73063>"). [assumption]. 11040 L(x,y,z * L(u / w,v5,v6)) = L(x,y,z * L(w \ u,v5,v6)) # label("p9loop 0 10811 ID<3639349>"). [assumption]. 11044 R(x,y,(z \ u) * (z * z)) = R(x,y,(z \ 1) \ u) # label("p9loop 0 10815 ID<4187537>"). [assumption]. 11046 R(x,y,z \ ((z \ 1) \ u)) = R(x,y,L(u,z,z)) # label("p9loop 0 10817 ID<5757866>"). [assumption]. 11047 R(x,y,z) \ (a(x,u,w) * v5) = a(x,u,w) * (R(x,y,z) \ v5) # label("p9loop 0 10818 ID<4686627>"). [assumption]. 11051 T(x,K(y,z) * K(u,y)) = T(x,K(y,z * u)) # label("p9loop 0 10822 ID<618780>"). [assumption]. 11054 T(x / y,x \ y) * z = (((x / y) \ 1) \ 1) * z # label("p9loop 0 10825 ID<1637218>"). [assumption]. 11055 T(x,K(y,z \ u) * w) = T(x,K(y,u * z) * w) # label("p9loop 0 10826 ID<188009>"). [assumption]. 11057 T(x,T((y \ z) / u,w)) = T(x,T(y \ (z / u),w)) # label("p9loop 0 10828 ID<373200>"). [assumption]. 11064 a((x * (y \ (z / u))) * w,v5,v6) = a((x * (y \ (u \ z))) * w,v5,v6) # label("p9loop 0 10835 ID<831503>"). [assumption]. 11065 a((x * (y / z)) \ u,w,v5) = a((x * (z \ y)) \ u,w,v5) # label("p9loop 0 10836 ID<1063808>"). [assumption]. 11067 a(x * L(y \ 1,z,u),w,v5) = a(x * L(y,z,u),w,v5) # label("p9loop 0 10838 ID<1112800>"). [assumption]. 11068 a(x * y,x,a(x,z,u)) = a(y,x,a(x,z,u)) # label("p9loop 0 10839 ID<4371105>"). [assumption]. 11073 a(x,y,L(y,z * y,u)) = a(x,y,L(y,z,u)) # label("p9loop 0 10844 ID<6367655>"). [assumption]. 11074 a(x,y,L(y,y * z,u)) = a(x,y,L(y,z,u)) # label("p9loop 0 10845 ID<9030415>"). [assumption]. 11075 a(x,y,L(L(z,u,u),z,u)) = a(x,y,L(z,u * z,u)) # label("p9loop 0 10846 ID<6745923>"). [assumption]. 11077 a(x,y,a(z,u,u) * (w \ a(u,u,z))) = a(x,y,w \ 1) # label("p9loop 0 10848 ID<6409182>"). [assumption]. 11079 L(x,y,a(z,u,w)) \ L(x,y,z) = L(x \ L(x,y,z),u,w) # label("p9loop 0 10850 ID<6142200>"). [assumption]. 11080 a(x,y,z) * a(x,u,a(w,y,z)) = a(x,y,L(z,u,w)) # label("p9loop 0 10851 ID<6187609>"). [assumption]. 11082 x * K(x * (y \ z),z \ y) = ((z \ y) \ x) * (z \ y) # label("p9loop 0 10853 ID<1360728>"). [assumption]. 11085 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y) # label("p9loop 0 10856 ID<1895695>"). [assumption]. 11087 (((x * y) \ x) * y) \ 1 = y \ (((x * y) \ x) \ 1) # label("p9loop 0 10858 ID<1866565>"). [assumption]. 11090 x * T((x \ 1) * y,x \ 1) = (x * y) * (x \ 1) # label("p9loop 0 10861 ID<1726945>"). [assumption]. 11091 ((1 / x) \ y) * T(z,x * y) = z * ((1 / x) \ y) # label("p9loop 0 10862 ID<117043>"). [assumption]. 11111 (x / y) / L(y \ x,z,u) = L(y \ x,z,u) \ (x / y) # label("p9loop 0 10882 ID<501884>"). [assumption]. 11115 (x \ 1) \ (y \ (x \ y)) = x * (y \ (x \ y)) # label("p9loop 0 10886 ID<5175594>"). [assumption]. 11116 (x \ R(y,z,y)) \ y = (x \ y) \ L(y,z,y) # label("p9loop 0 10887 ID<599333>"). [assumption]. 11126 K(x,T(y,z)) * (u * z) = z * (K(x,y) * T(u,z)) # label("p9loop 0 10897 ID<98480>"). [assumption]. 11128 K(x,T(y,z)) * (u / (u * z)) = (u / (u * z)) * K(x,y) # label("p9loop 0 10899 ID<723312>"). [assumption]. 11129 K(x,y * (z / (u \ w))) = K(x,y * (z * (w \ u))) # label("p9loop 0 10900 ID<2317455>"). [assumption]. 11130 L(x,L(y,z,z),y * z) = L(x,y,z * y) # label("p9loop 0 10901 ID<9027951>"). [assumption]. 11131 a(x * y,x,L(x,y,z)) = a(x * y,x,x) # label("p9loop 0 10902 ID<9030893>"). [assumption]. 11134 R(x,y,z * (u * w)) = R(x,y,z * (w * u)) # label("p9loop 0 10905 ID<533255>"). [assumption]. 11137 (x / y) * K(z \ y,z) = x / (z * (y / z)) # label("p9loop 0 10908 ID<538290>"). [assumption]. 11139 K(x \ y,z) / (y \ x) = T(1 / (y \ x),z) # label("p9loop 0 10910 ID<544953>"). [assumption]. 11141 (x * y) / (z * (y / z)) = x * K(z \ y,z) # label("p9loop 0 10912 ID<553340>"). [assumption]. 11143 R(x,y,((z \ u) * z) \ w) = R(x,y,u \ w) # label("p9loop 0 10914 ID<559488>"). [assumption]. 11145 x * (y * K(y \ x,y)) = ((y \ x) * y) * y # label("p9loop 0 10916 ID<562115>"). [assumption]. 11159 L(x * K(y,z),x \ 1,y) = (y * (1 / x)) \ T(y,z) # label("p9loop 0 10930 ID<1301491>"). [assumption]. 11160 L(x,y * (z \ (u / w)),v5) = L(x,y * (z \ (w \ u)),v5) # label("p9loop 0 10931 ID<3117826>"). [assumption]. 11161 L(x,y,L(T(z,u),w,v5) \ v6) = L(x,y,L(z,w,v5) \ v6) # label("p9loop 0 10932 ID<205662>"). [assumption]. 11175 R(x,y,z \ ((u / w) \ v5)) = R(x,y,z \ ((w \ u) \ v5)) # label("p9loop 0 10947 ID<4759101>"). [assumption]. 11181 T(x / y,y * (x \ z)) = ((x / y) \ z) \ z # label("p9loop 0 10953 ID<876863>"). [assumption]. 11184 T(x,K(y,z) * (u \ (z \ w))) = T(x,u \ (T(z,y) \ w)) # label("p9loop 0 10956 ID<97134>"). [assumption]. 11192 a(x,(y * z) \ z,u) = a(x,z \ (y \ z),u) # label("p9loop 0 10964 ID<3674891>"). [assumption]. 11193 a(x,L(y * z,z,z),u) = a(x,(z \ 1) \ y,u) # label("p9loop 0 10965 ID<5419327>"). [assumption]. 11196 a(x,y,L(z * u,z,u)) = a(x,y,(z \ 1) \ u) # label("p9loop 0 10968 ID<6349291>"). [assumption]. 11197 R(x,y,L(z * u,z,u)) = R(x,y,(z \ 1) \ u) # label("p9loop 0 10969 ID<9204159>"). [assumption]. 11200 a(x,y,z * ((u * w) \ u)) = a(x,y,z * (u \ (w \ u))) # label("p9loop 0 10972 ID<3712861>"). [assumption]. 11202 a(x,y,(z * z) * (z \ u)) = a(x,y,(z \ 1) \ u) # label("p9loop 0 10974 ID<1051972>"). [assumption]. 11211 ((1 / x) * y) \ T(x \ y,z) = (T(x \ y,z) / y) * x # label("p9loop 0 10984 ID<3981331>"). [assumption]. 11217 ((x \ y) \ 1) \ ((y \ x) * z) = ((x \ y) * (y \ x)) * z # label("p9loop 0 10990 ID<5263171>"). [assumption]. 11219 (1 / x) * T(x * y,x) = ((1 / x) * y) * x # label("p9loop 0 10992 ID<1009205>"). [assumption]. 11225 (x * (y \ (y / x))) \ 1 = x \ (1 / (y \ (y / x))) # label("p9loop 0 10998 ID<1771597>"). [assumption]. 11234 (x / T(y,z)) * R(T(y,z),u,w) = (x / y) * R(y,u,w) # label("p9loop 0 11007 ID<458263>"). [assumption]. 11235 (x \ 1) * (y \ ((x \ 1) \ y)) = (y / (y * x)) * x # label("p9loop 0 11008 ID<4613281>"). [assumption]. 11243 K(x,((y \ z) \ u) * w) = K(x,(z \ y) * (u * w)) # label("p9loop 0 11016 ID<2322667>"). [assumption]. 11250 (x \ L(y,z,y)) \ y = (x \ y) \ R(y,z,y) # label("p9loop 0 11023 ID<599240>"). [assumption]. 11255 K(x \ K(y,z),T(z,u)) = K(x \ 1,T(z,u)) # label("p9loop 0 11028 ID<630396>"). [assumption]. 11262 (L(x,y,x) \ z) * x = (x \ z) * R(x,y,x) # label("p9loop 0 11035 ID<710323>"). [assumption]. 11266 K(x,y) * ((z / T(y,x)) \ u) = (z / y) \ u # label("p9loop 0 11039 ID<756392>"). [assumption]. 11270 K(x,T(y,z)) * (x \ z) = (x \ z) * K(x,y) # label("p9loop 0 11043 ID<778042>"). [assumption]. 11275 L((x * y) \ x,z,L(y,x,x)) = L((x * y) \ x,z,y) # label("p9loop 0 11048 ID<2884651>"). [assumption]. 11276 a(x,x,y * ((z \ (u \ z)) * w)) = a(x,x,(u \ w) * y) # label("p9loop 0 11049 ID<9324453>"). [assumption]. 11277 L(x,L(y,z \ 1,u),w) = L(x,L(y,z,u),w) # label("p9loop 0 11050 ID<1532970>"). [assumption]. 11287 R(x,y,L(z / u,w,v5)) = R(x,y,L(u \ z,w,v5)) # label("p9loop 0 11061 ID<495965>"). [assumption]. 11290 (x * y) * (z * K(y,x)) = T((y * x) * z,K(x,y)) # label("p9loop 0 11064 ID<516197>"). [assumption]. 11291 K(x,x \ 1) * T(y,z) = T(y * K(x,x \ 1),z) # label("p9loop 0 11065 ID<237631>"). [assumption]. 11296 T(x \ y,y \ z) = ((x \ y) \ (x \ z)) \ (x \ z) # label("p9loop 0 11070 ID<4179687>"). [assumption]. 11297 (x \ y) / T(x \ z,z \ y) = (x \ z) \ (x \ y) # label("p9loop 0 11071 ID<9349461>"). [assumption]. 11298 T(x,y * (T(z,u) * K(w,v5))) = T(x,y * T(z * K(w,v5),u)) # label("p9loop 0 11072 ID<151102>"). [assumption]. 11299 T(x,T((y * z) \ u,w)) = T(x,T(z \ (y \ u),w)) # label("p9loop 0 11073 ID<96943>"). [assumption]. 11300 T(x,T(T(y,z),u) \ w) = T(x,T(y,z * u) \ w) # label("p9loop 0 11074 ID<1087895>"). [assumption]. 11303 T(x,y * (z * (u * K(z,w)))) = T(x,y * (T(z,w) * u)) # label("p9loop 0 11077 ID<139045>"). [assumption]. 11306 a(x,((y / z) \ u) \ w,v5) = a(x,((z \ y) \ u) \ w,v5) # label("p9loop 0 11081 ID<1275927>"). [assumption]. 11308 a(x,a(y,z,u),w) * (v5 * a(w,a(y,z,u),x)) = v5 # label("p9loop 0 11083 ID<5367727>"). [assumption]. 11309 a(x,y,(((z \ u) \ u) \ w) * v5) = a(x,y,v5 * (z \ w)) # label("p9loop 0 11084 ID<853478>"). [assumption]. 11313 a(x,y,z * (u * (T(w,v5) \ v6))) = a(x,y,z * ((w \ v6) * u)) # label("p9loop 0 11089 ID<72790>"). [assumption]. 11315 a(x,y,z) \ ((x \ 1) * u) = (x \ 1) * (a(x,y,z) \ u) # label("p9loop 0 11091 ID<2075706>"). [assumption]. 11320 x \ a(y * x,y,x \ 1) = y \ ((x / y) \ 1) # label("p9loop 0 11096 ID<7396912>"). [assumption]. 11328 (L(x,y,z) * u) * a(w,v5,x) = L(x,y,z) * (a(w,v5,x) * u) # label("p9loop 0 11104 ID<3831009>"). [assumption]. 11333 (x * a(y,z,u)) \ a(y,z,u) = a(y,z,u) \ (x \ a(y,z,u)) # label("p9loop 0 11109 ID<2653504>"). [assumption]. 11337 (x / (y / z)) * L(y / z,u,w) = (x / (z \ y)) * L(z \ y,u,w) # label("p9loop 0 11113 ID<862640>"). [assumption]. 11338 x \ (1 / (y \ (y / x))) = y \ ((y * (x \ 1)) * x) # label("p9loop 0 11114 ID<3934850>"). [assumption]. 11340 (x \ (x / y)) * T(z,y \ 1) = z * (x \ (x / y)) # label("p9loop 0 11116 ID<589491>"). [assumption]. 11354 L(x,((y / z) * u) * w,v5) = L(x,((z \ y) * u) * w,v5) # label("p9loop 0 11130 ID<557236>"). [assumption]. 11356 L(x,L(y \ a(z,u,z),w,v5),v6) = L(x,L(y \ 1,w,v5),v6) # label("p9loop 0 11132 ID<7974061>"). [assumption]. 11358 L(x,y \ (z * T(u,w)),v5) = L(x,y \ (z * u),v5) # label("p9loop 0 11134 ID<69981>"). [assumption]. 11361 L(x,y,(z * (u / w)) \ v5) = L(x,y,(z * (w \ u)) \ v5) # label("p9loop 0 11137 ID<3639819>"). [assumption]. 11364 L(x,y,L(z / u,w,v5) * v6) = L(x,y,L(u \ z,w,v5) * v6) # label("p9loop 0 11140 ID<1877824>"). [assumption]. 11369 K(x,y \ 1) * (x \ (y \ x)) = (y \ x) / x # label("p9loop 0 11145 ID<806560>"). [assumption]. 11372 ((1 / x) \ y) / T(y,x) = y \ ((1 / x) \ y) # label("p9loop 0 11148 ID<813404>"). [assumption]. 11375 ((x / y) \ 1) \ (y / x) = (x / y) * (y / x) # label("p9loop 0 11151 ID<846369>"). [assumption]. 11377 (1 / x) * (T(x,y) \ z) = (x * T(x,y)) \ z # label("p9loop 0 11153 ID<987597>"). [assumption]. 11379 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x) # label("p9loop 0 11155 ID<1025332>"). [assumption]. 11386 ((x \ 1) / y) * K(y \ z,u) = (x \ K(z / y,u)) / y # label("p9loop 0 11162 ID<9472207>"). [assumption]. 11388 L(x,y,z * (u * (K(w,v5) * v6))) = L(x,y,z * (u * v6)) # label("p9loop 0 11164 ID<98559>"). [assumption]. 11393 R(T(x,y),z,u) * (T(x,y) \ w) = (w / x) * R(x,z,u) # label("p9loop 0 11169 ID<410375>"). [assumption]. 11398 R(x,y,z * L(u,u,z)) = R(x,y,(u \ 1) \ z) # label("p9loop 0 11174 ID<3057588>"). [assumption]. 11399 R(x,y,L(z,z,z * u) * w) = R(x,y,w * L(z,z,u)) # label("p9loop 0 11175 ID<7374150>"). [assumption]. 11414 T(x,y / T(T(z,u),w)) = T(x,y / T(z,u * w)) # label("p9loop 0 11190 ID<1088184>"). [assumption]. 11421 L(x,x,L(y,z,x) * x) = L(x,x,y * x) # label("p9loop 0 11197 ID<9520878>"). [assumption]. 11422 a(x,y,z) * (L(u,u * w,a(z,y,x)) \ w) = u \ (w * a(x,y,z)) # label("p9loop 0 11198 ID<8280580>"). [assumption]. 11423 a(x,y,z) \ (L(u,u * w,a(z,y,x)) \ w) = u \ (a(x,y,z) \ w) # label("p9loop 0 11199 ID<9523692>"). [assumption]. 11424 a(x,(y * (z * (y \ 1))) * u,w) = a(x,u * L(z,y,y),w) # label("p9loop 0 11200 ID<7514396>"). [assumption]. 11425 a(x,(y \ 1) \ (y \ z),u) = a(x,L(z,y,y),u) # label("p9loop 0 11201 ID<5420627>"). [assumption]. 11427 a(x,y,a(z,z \ 1,u) * w) = a(x,y,w * a(z,z,u)) # label("p9loop 0 11203 ID<2804262>"). [assumption]. 11428 a(x,y,L(z * u,z,z)) = a(x,y,(z \ 1) \ u) # label("p9loop 0 11204 ID<5435177>"). [assumption]. 11434 x * (y \ ((x / y) \ 1)) = a(y * x,y,x \ 1) # label("p9loop 0 11210 ID<7351217>"). [assumption]. 11435 x \ (y \ ((1 / x) \ y)) = (y / (y * x)) * x # label("p9loop 0 11211 ID<5176045>"). [assumption]. 11441 ((x * (y \ 1)) \ x) \ y = x \ ((x * (y \ 1)) * y) # label("p9loop 0 11217 ID<8103864>"). [assumption]. 11448 (x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)) # label("p9loop 0 11224 ID<1761372>"). [assumption]. 11449 (x \ y) * (x * (((x \ y) * x) \ z)) = (y / x) * (x * (y \ z)) # label("p9loop 0 11225 ID<2732839>"). [assumption]. 11453 K(x,y * ((z \ u) \ w)) = K(x,y * ((u \ z) * w)) # label("p9loop 0 11229 ID<2323510>"). [assumption]. 11458 L((x \ R(y,z,u)) \ w,x \ L(y,z,u),x) = R(y,z,u) \ (x * w) # label("p9loop 0 11234 ID<7605995>"). [assumption]. 11459 L(x,L(y,z,u) \ 1,w) = L(x,L(y \ 1,z,u),w) # label("p9loop 0 11235 ID<5717697>"). [assumption]. 11460 L(x,y,(z * T(u,w)) \ v5) = L(x,y,(z * u) \ v5) # label("p9loop 0 11236 ID<71728>"). [assumption]. 11466 L(x,y,z \ (u \ (K(w,v5) * v6))) = L(x,y,z \ (u \ v6)) # label("p9loop 0 11242 ID<77024>"). [assumption]. 11469 R(x,L(y,z,u),L(y \ 1,z,u)) = R(x,y,y \ 1) # label("p9loop 0 11245 ID<6773297>"). [assumption]. 11471 R(x,y,L(z * u,z,z)) = R(x,y,(z \ 1) \ u) # label("p9loop 0 11247 ID<8006533>"). [assumption]. 11473 T(T(x,y),z) / (u * T(x,y)) = T(x,T(z,y)) / (u * x) # label("p9loop 0 11249 ID<4326273>"). [assumption]. 11481 a(x * ((y \ x) * z),u,x) = a(z * y,u,x) # label("p9loop 0 11257 ID<6089339>"). [assumption]. 11483 a((x * y) * z,u,y \ ((x \ 1) \ y)) = a((x \ z) * y,u,x) # label("p9loop 0 11259 ID<9595196>"). [assumption]. 11487 K(x,y) * (x \ (1 / z)) = x \ (K(x,y) / z) # label("p9loop 0 11263 ID<1120238>"). [assumption]. 11489 x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x # label("p9loop 0 11265 ID<1165273>"). [assumption]. 11494 T(x / ((y * z) / y),z) = (z \ x) * K(z,y) # label("p9loop 0 11270 ID<1281781>"). [assumption]. 11498 T(x * y,y) \ T(x,y) = T(y * x,y) \ x # label("p9loop 0 11274 ID<1392447>"). [assumption]. 11503 a(x \ (y * (z * z)),u,w) = a(x \ y,u,w) # label("p9loop 0 11279 ID<1793174>"). [assumption]. 11504 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1 # label("p9loop 0 11280 ID<1838481>"). [assumption]. 11506 a((x * y) * z,u,z) = a(y * (x \ z),u,z) # label("p9loop 0 11282 ID<9594077>"). [assumption]. 11510 a(x,y,a(z,u,w * (v5 \ z))) = a(x,y,a(z,u,z * (w * v5))) # label("p9loop 0 11286 ID<9636813>"). [assumption]. 11512 a((x * y) * z,u,a(w,v5,z)) = a(z,u,a(y * (x \ z),v5,w)) # label("p9loop 0 11288 ID<9639822>"). [assumption]. 11514 a(x,y,(z * ((u * w) \ u)) * v5) = a(x,y,(z * (u \ (w \ u))) * v5) # label("p9loop 0 11290 ID<3713195>"). [assumption]. 11515 a(x,y,(z * ((u * z) \ w)) * v5) = a(x,y,(z * ((z * u) \ w)) * v5) # label("p9loop 0 11291 ID<3254383>"). [assumption]. 11516 a(x,y,(z * (u \ (w / v5))) * v6) = a(x,y,(z * (u \ (v5 \ w))) * v6) # label("p9loop 0 11292 ID<345475>"). [assumption]. 11521 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)) # label("p9loop 0 11297 ID<52040>"). [assumption]. 11527 ((x * y) * (y \ z)) / (x * z) = a(x,y,y \ z) # label("p9loop 0 11303 ID<38378>"). [assumption]. 11540 (x * (y \ (y / x))) * x = (y * (x \ 1)) \ y # label("p9loop 0 11316 ID<4973903>"). [assumption]. 11553 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z) # label("p9loop 0 11329 ID<386451>"). [assumption]. 11555 K(x,K(y,z)) * (K(u,x) * w) = K(u * K(y,z),x) * w # label("p9loop 0 11331 ID<421975>"). [assumption]. 11556 K(x,T(y,z)) * (u * K(y,x)) = T(u * K(x,K(y,z)),K(x,y)) # label("p9loop 0 11332 ID<56019>"). [assumption]. 11560 T(T(x,y),z) * (x \ K(u,x)) = T(x,u) \ T(T(x,z),y) # label("p9loop 0 11336 ID<2001868>"). [assumption]. 11567 L(x,y \ R(z,u,w),v5) = L(x,y \ L(z,u,w),v5) # label("p9loop 0 11343 ID<5631644>"). [assumption]. 11569 L(x,y,z * (T(u,w) \ v5)) = L(x,y,z * (u \ v5)) # label("p9loop 0 11345 ID<153039>"). [assumption]. 11572 L(x,y,z * L(u * w,w,w)) = L(x,y,(w \ u) * z) # label("p9loop 0 11348 ID<5631648>"). [assumption]. 11578 R(x,y,z) * (K(x,u) * w) = R(T(x,u),y,z) * w # label("p9loop 0 11354 ID<61718>"). [assumption]. 11580 T(((1 / x) * y) \ y,x \ 1) = ((x \ 1) * y) \ y # label("p9loop 0 11356 ID<1695412>"). [assumption]. 11584 T(x,y) * K(z * z,u) = T(x * K(z * z,u),y) # label("p9loop 0 11360 ID<39243>"). [assumption]. 11585 T(x \ y,x) \ (x \ z) = (x \ y) \ ((y / (y / x)) \ z) # label("p9loop 0 11361 ID<5179951>"). [assumption]. 11587 T(x,y * (z \ (y \ u))) = T(x,T(z,y) \ u) # label("p9loop 0 11363 ID<2493597>"). [assumption]. 11593 a(x,y,L(z * (u / w),v5,v6)) = a(x,y,L(z * (w \ u),v5,v6)) # label("p9loop 0 11369 ID<4603924>"). [assumption]. 11596 a(x,y,z * ((u * w) * (u \ 1))) = a(x,y,z * L(w,u,u)) # label("p9loop 0 11372 ID<1684640>"). [assumption]. 11599 a(x,y,z) / ((x * y) * z) = 1 / (x * (y * z)) # label("p9loop 0 11375 ID<6779805>"). [assumption]. 11603 x \ (y * (a(z,u,z) * w)) = a(z,u,z) * (x \ (y * w)) # label("p9loop 0 11379 ID<478167>"). [assumption]. 11607 T(x \ ((1 / (1 / y)) \ x),y) = x \ (y \ x) # label("p9loop 0 11383 ID<1897033>"). [assumption]. 11608 (x * (y \ (y / x))) \ x = 1 / (y \ (y / x)) # label("p9loop 0 11384 ID<1931053>"). [assumption]. 11610 (1 / (x / (y * x))) \ y = y * (x / (y * x)) # label("p9loop 0 11386 ID<1962279>"). [assumption]. 11616 a((x \ y) \ x,z,u) = a((y \ x) * x,z,u) # label("p9loop 0 11392 ID<2192813>"). [assumption]. 11617 R(x,y,z) * (x \ (u / R(x,y,z))) = u / x # label("p9loop 0 11393 ID<2209690>"). [assumption]. 11618 (R(x,y,z) \ u) / x = (x \ u) / R(x,y,z) # label("p9loop 0 11394 ID<2225005>"). [assumption]. 11620 T(x,y * (z \ (u \ z))) = T(x,y / T(u,z)) # label("p9loop 0 11396 ID<2499883>"). [assumption]. 11626 ((L(x,y,z) \ 1) \ u) * x = ((x \ 1) \ u) * L(x,y,z) # label("p9loop 0 11402 ID<5491797>"). [assumption]. 11628 (x / ((x \ y) * y)) * z = (x / y) * ((x \ y) \ z) # label("p9loop 0 11404 ID<6456028>"). [assumption]. 11629 ((x \ y) \ y) * (y \ (x \ y)) = x * (y \ (y / x)) # label("p9loop 0 11405 ID<3118644>"). [assumption]. 11633 (x * (y * z)) \ (L(z,y,x) * (x * y)) = K(z,x * y) # label("p9loop 0 11409 ID<193494>"). [assumption]. 11634 (x * (y / z)) / (u * (y / z)) = (x * (z \ y)) / (u * (z \ y)) # label("p9loop 0 11410 ID<4648831>"). [assumption]. 11637 (x \ R(y,z,u)) * K(y,w) = x \ R(T(y,w),z,u) # label("p9loop 0 11413 ID<61898>"). [assumption]. 11641 K(x,y * ((z / u) \ w)) = K(x,y * (u * (z \ w))) # label("p9loop 0 11417 ID<2334392>"). [assumption]. 11645 K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,z * u)) # label("p9loop 0 11421 ID<35533>"). [assumption]. 11646 (x \ T(T(x,y),z)) * u = T(T(x,z),y) * (x \ u) # label("p9loop 0 11422 ID<411938>"). [assumption]. 11651 L(K(x,y) * z,u,w) / v5 = K(x,y) * (L(z,u,w) / v5) # label("p9loop 0 11427 ID<59780>"). [assumption]. 11652 (L(x,y,y) / y) * L(y,z,u) = (1 / y) * (L(y,z,u) * x) # label("p9loop 0 11428 ID<7008329>"). [assumption]. 11655 L(x,(y \ z) * a(y,y,u),w) = L(x,L(y,y,u) \ z,w) # label("p9loop 0 11431 ID<5878412>"). [assumption]. 11657 L(x,y,L(z * u,z,z) * w) = L(x,y,(z \ u) * w) # label("p9loop 0 11433 ID<5411065>"). [assumption]. 11660 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z # label("p9loop 0 11436 ID<1750450>"). [assumption]. 11662 R(x,L(y,z,u) \ 1,w) = R(x,L(y \ 1,z,u),w) # label("p9loop 0 11438 ID<7497607>"). [assumption]. 11663 R(x,y,L(z,u,u * z)) = R(x,y,L(z,u,u)) # label("p9loop 0 11439 ID<6374737>"). [assumption]. 11664 R(x,y,z * ((u / w) * v5)) = R(x,y,z * ((w \ u) * v5)) # label("p9loop 0 11440 ID<3763939>"). [assumption]. 11669 T(x,y * T(z,u * (z * w))) = T(x,y * T(z,u * w)) # label("p9loop 0 11445 ID<622677>"). [assumption]. 11678 a(x,L(y,z \ 1,z) \ u,w) = a(x,L(y,z,z) \ u,w) # label("p9loop 0 11454 ID<8700293>"). [assumption]. 11682 a(x,L(y,z,u) \ 1,w) = a(x,L(y \ 1,z,u),w) # label("p9loop 0 11458 ID<6425659>"). [assumption]. 11690 a(x,y,z * (u * (w \ T(v5,v6)))) = a(x,y,z * (u * (w \ v5))) # label("p9loop 0 11466 ID<343211>"). [assumption]. 11691 a(x,y,z * (u \ ((u \ 1) \ w))) = a(x,y,z * L(w,u,u)) # label("p9loop 0 11467 ID<5434949>"). [assumption]. 11695 x / ((y * (x \ 1)) \ y) = y \ ((y * (x \ 1)) * x) # label("p9loop 0 11471 ID<9313431>"). [assumption]. 11704 x / (y * K(z \ 1,z)) = (x / y) * K(z,z \ 1) # label("p9loop 0 11480 ID<1577401>"). [assumption]. 11706 (x / y) * ((z \ (x / y)) \ u) = (y \ x) * ((z \ (y \ x)) \ u) # label("p9loop 0 11482 ID<8670922>"). [assumption]. 11714 K(x,T((y / z) \ u,w)) = K(x,T(z * (y \ u),w)) # label("p9loop 0 11491 ID<2336832>"). [assumption]. 11717 L(x,L(y,z \ 1,u) \ w,v5) = L(x,L(y,z,u) \ w,v5) # label("p9loop 0 11494 ID<1731273>"). [assumption]. 11719 R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y # label("p9loop 0 11496 ID<1659140>"). [assumption]. 11724 (((x \ y) / y) \ 1) \ x = ((x \ y) / y) * x # label("p9loop 0 11501 ID<2683505>"). [assumption]. 11726 (((x \ y) / y) * x) \ y = x * ((1 / x) * y) # label("p9loop 0 11503 ID<3047016>"). [assumption]. 11727 x * (y * ((y * x) \ x)) = y \ (x / (y \ 1)) # label("p9loop 0 11504 ID<3403330>"). [assumption]. 11728 x \ (y \ ((y \ 1) \ x)) = y * (x / (y * x)) # label("p9loop 0 11505 ID<3460768>"). [assumption]. 11729 (x * (1 / (y \ x))) \ y = (x \ y) * (y \ x) # label("p9loop 0 11506 ID<3506968>"). [assumption]. 11733 ((x / y) * (y / x)) \ y = ((x / y) \ 1) * x # label("p9loop 0 11510 ID<3931021>"). [assumption]. 11734 (x * (y \ (y / x))) \ y = (y * (x \ 1)) * x # label("p9loop 0 11511 ID<3935066>"). [assumption]. 11736 (x * ((1 / x) * y)) \ y = ((x \ y) / y) * x # label("p9loop 0 11513 ID<3981367>"). [assumption]. 11740 ((x * y) * (1 / y)) \ x = ((x * y) \ x) * y # label("p9loop 0 11517 ID<4642279>"). [assumption]. 11742 x \ ((y * (x \ 1)) \ y) = x * (y \ (y / x)) # label("p9loop 0 11519 ID<4973785>"). [assumption]. 11749 T(x,T(y \ z,u) * y) = T(x,y * T(z / y,u)) # label("p9loop 0 11526 ID<4900>"). [assumption]. 11754 a((x \ y) * a(x,x,z),u,w) = a(L(x,x,z) \ y,u,w) # label("p9loop 0 11531 ID<5284479>"). [assumption]. 11755 a(x,(T(y,z) \ u) \ w,v5) = a(x,(y \ u) \ w,v5) # label("p9loop 0 11532 ID<78714>"). [assumption]. 11756 a(x,(y \ ((y \ 1) \ z)) \ u,w) = a(x,L(z,y,y) \ u,w) # label("p9loop 0 11533 ID<8864115>"). [assumption]. 11757 a(x,y,(z \ (L(u,u,z) \ z)) \ w) = a(x,y,(u \ 1) \ w) # label("p9loop 0 11534 ID<7698148>"). [assumption]. 11758 a(x,y,(z \ K(u,w)) * v5) = a(x,y,(z \ 1) * v5) # label("p9loop 0 11535 ID<157386>"). [assumption]. 11761 a(x,y,z * (u \ ((w / v5) \ v6))) = a(x,y,z * (u \ ((v5 \ w) \ v6))) # label("p9loop 0 11538 ID<1020312>"). [assumption]. 11762 a(x,y,z) \ K(u,u \ 1) = u * ((a(x,y,z) \ 1) / u) # label("p9loop 0 11539 ID<2636883>"). [assumption]. 11764 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x) # label("p9loop 0 11541 ID<2875040>"). [assumption]. 11765 x \ ((y \ (y / (1 / x))) * z) = (((y * x) \ y) * x) * z # label("p9loop 0 11542 ID<9237860>"). [assumption]. 11766 (x * y) * (z * a(y,y,x)) = (x * R(y,y,x)) * z # label("p9loop 0 11543 ID<7156220>"). [assumption]. 11772 (L(x,y,x) \ z) \ (u \ x) = (x \ z) \ (u \ L(x,y,x)) # label("p9loop 0 11549 ID<8605560>"). [assumption]. 11775 R(a(x,y,z) \ x,y,z) = x # label("p9loop 0 11552 ID<9983170>"). [assumption]. 11781 K(x,T(y,z * (u * (w * z)))) = K(x,T(y,w * u)) # label("p9loop 0 11558 ID<81686>"). [assumption]. 11784 L(L(x,x,y) \ 1,x,y) = (y * x) \ R(y,x,x) # label("p9loop 0 11561 ID<6906088>"). [assumption]. 11787 L(x,y,(z \ ((u / w) \ v5)) \ v6) = L(x,y,(z \ ((w \ u) \ v5)) \ v6) # label("p9loop 0 11564 ID<6334994>"). [assumption]. 11788 L(x,y,z * a(u,w,z)) = L(x,y,L(z,w,u)) # label("p9loop 0 11565 ID<6181719>"). [assumption]. 11792 L(x,y,L(z * u,u,u) * w) = L(x,y,(u \ z) * w) # label("p9loop 0 11569 ID<5411043>"). [assumption]. 11799 R(x,y \ 1,(y \ 1) \ z) = R(x,y \ 1,y * z) # label("p9loop 0 11576 ID<5894112>"). [assumption]. 11812 a(((x / y) \ z) * u,w,v5) = a(((y \ x) \ z) * u,w,v5) # label("p9loop 0 11589 ID<72945>"). [assumption]. 11819 a(x,y,x) * ((z \ 1) * u) = (z \ a(x,y,x)) * u # label("p9loop 0 11596 ID<473928>"). [assumption]. 11821 x / (y * (z \ (z / y))) = (y * (z \ (z / y))) \ x # label("p9loop 0 11598 ID<367139>"). [assumption]. 11822 x \ ((y / (x \ 1)) / y) = x * ((x * y) \ y) # label("p9loop 0 11599 ID<6945189>"). [assumption]. 11825 x * L(x \ L(y,z,x),u,w) = L(x * L(x \ y,u,w),z,x) # label("p9loop 0 11602 ID<10043272>"). [assumption]. 11831 ((x * (y \ (y / x))) \ z) \ z = x * (y \ (y / x)) # label("p9loop 0 11608 ID<414562>"). [assumption]. 11834 a(x,y,z) \ (1 / z) = (z * z) \ L(z,y,x) # label("p9loop 0 11611 ID<6635598>"). [assumption]. 11840 (a(x,x,y) \ x) \ z = (x \ z) * a(x,x,y) # label("p9loop 0 11617 ID<5259658>"). [assumption]. 11847 a(x,y,y) * (z * y) = z * (y * a(x,y,y)) # label("p9loop 0 11624 ID<5292332>"). [assumption]. 11849 a(x,x,y) * R(x,x,z) = R(R(x,x,z),x,y) # label("p9loop 0 11626 ID<5412618>"). [assumption]. 11850 L(x,y \ z,y * (z \ y)) = L(x,y \ z,z) # label("p9loop 0 11627 ID<5631612>"). [assumption]. 11855 R(x \ 1,y,z) \ u = (x \ a(x,y,z)) \ u # label("p9loop 0 11632 ID<6703145>"). [assumption]. 11857 (((x / y) / x) * y) * x = (1 / y) \ (x / y) # label("p9loop 0 11634 ID<7373887>"). [assumption]. 11859 ((x / (y \ 1)) / x) / y = y * ((y * x) \ x) # label("p9loop 0 11636 ID<8559861>"). [assumption]. 11863 a(x,y \ (x \ 1),z) = a(x,x \ (y \ 1),z) # label("p9loop 0 11640 ID<8933325>"). [assumption]. 11865 x \ ((y * (z * u)) / u) = x \ (y * (a(y,z,u) \ z)) # label("p9loop 0 11642 ID<3780480>"). [assumption]. 11873 L(x,x \ (y \ x),z) = L(x,y \ 1,z) # label("p9loop 0 11650 ID<10129851>"). [assumption]. 11877 L(K(x,y) * z,u \ 1,u) = u * ((u \ K(x,y)) * z) # label("p9loop 0 11654 ID<71832>"). [assumption]. 11880 L(x,L((y \ z) \ z,u,w) \ v5,v6) = L(x,L(y,u,w) \ v5,v6) # label("p9loop 0 11657 ID<668895>"). [assumption]. 11885 L(x,y,z * L(u \ 1,w,v5)) = L(x,y,L(u,w,v5) * z) # label("p9loop 0 11662 ID<3639259>"). [assumption]. 11897 T(x,y * ((z \ u) \ w)) = T(x,y * ((u \ z) * w)) # label("p9loop 0 11674 ID<2502056>"). [assumption]. 11900 a(x,(y \ T(z,u)) \ w,v5) = a(x,(y \ z) \ w,v5) # label("p9loop 0 11677 ID<354232>"). [assumption]. 11902 a(x,y,a(z,u,w)) * R(z,u,L(w,y,x)) = R(z,u,w) # label("p9loop 0 11679 ID<6110063>"). [assumption]. 11904 (1 / x) \ (a(y,x,x) \ z) = (1 / L(x,x,y)) \ z # label("p9loop 0 11681 ID<5412474>"). [assumption]. 11905 (x \ ((x * (y \ 1)) * y)) \ z = (y * (x \ (x / y))) * z # label("p9loop 0 11682 ID<8106857>"). [assumption]. 11909 (((x \ 1) \ 1) \ y) * (1 / x) = (x \ y) * (x \ 1) # label("p9loop 0 11686 ID<4254121>"). [assumption]. 11910 T(L(x,y,y) * y,x) = T(x * ((x / (y * x)) \ 1),x) # label("p9loop 0 11687 ID<9922624>"). [assumption]. 11913 ((x * y) * z) * ((x * (y * z)) \ 1) = a(x,y,z) # label("p9loop 0 11690 ID<6733047>"). [assumption]. 11914 ((x * y) * z) * (x * (y * z)) = (x * (y * z)) * ((x * y) * z) # label("p9loop 0 11691 ID<836380>"). [assumption]. 11918 (R(x,y,z) \ 1) * a(x,u,w) = R(x,y,z) \ a(x,u,w) # label("p9loop 0 11695 ID<5483958>"). [assumption]. 11928 K(x * ((y \ z) \ u),w) = K(x * ((z \ y) * u),w) # label("p9loop 0 11705 ID<2427099>"). [assumption]. 11936 L(x,L(y,y,z * y) \ u,w) = L(x,L(y,y,z) \ u,w) # label("p9loop 0 11713 ID<5981930>"). [assumption]. 11937 L(x,x \ y,z) \ (y * z) = T(z * (T(y,z) / x),x) # label("p9loop 0 11714 ID<347872>"). [assumption]. 11941 L(x,y,z) \ (u * a(x,w,v5)) = (L(x,y,z) \ u) * a(x,w,v5) # label("p9loop 0 11718 ID<5012397>"). [assumption]. 11951 a(x,(y * R(z,y,u)) \ w,v5) = a(x,(y * L(z,y,u)) \ w,v5) # label("p9loop 0 11728 ID<10245779>"). [assumption]. 11955 a(x,y,z \ (T(u,w) * v5)) = a(x,y,z \ (v5 * u)) # label("p9loop 0 11732 ID<62810>"). [assumption]. 11959 K(x,y) * (z * K(u,K(y,w))) = K(x * K(u,w),y) * z # label("p9loop 0 11736 ID<10250668>"). [assumption]. 11960 K(x,y) * (z * K(y,K(u,w))) = K(x * K(u,w),y) * z. [copy(11959),rewrite([45(3)])]. 11961 ((x * y) \ x) \ (1 / y) = y \ (((x * y) \ x) \ 1) # label("p9loop 0 11737 ID<3336079>"). [assumption]. 11962 ((x \ y) \ z) \ T(x,x \ y) = ((y / x) \ z) \ x # label("p9loop 0 11738 ID<4300926>"). [assumption]. 11965 R(K(x,y) * K(z,u),w,v5) = K(z,u) * K(x,y) # label("p9loop 0 11741 ID<61109>"). [assumption]. 11971 x / L(y,y \ z,z \ x) = (x / z) * (z / y) # label("p9loop 0 11747 ID<521603>"). [assumption]. 11974 R(R(x,y,z),u,L(x,w,v5)) = R(R(x,u,x),y,z) # label("p9loop 0 11750 ID<766247>"). [assumption]. 11983 T(((1 / x) * y) * x,x \ 1) = R(y,x \ 1,x) # label("p9loop 0 11759 ID<1728200>"). [assumption]. 11984 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x) # label("p9loop 0 11760 ID<1784189>"). [assumption]. 11993 K(x \ y,x) * ((y / z) / u) = (((x \ y) * x) / z) / u # label("p9loop 0 11769 ID<9464744>"). [assumption]. 12008 R(x,y * ((z * u) \ z),w) = R(x,y * (z \ (u \ z)),w) # label("p9loop 0 11784 ID<5120576>"). [assumption]. 12012 K(x,T(y,z)) * K(z,u) = T(K(x,y) * K(z,u),z) # label("p9loop 0 11788 ID<59536>"). [assumption]. 12013 K(x,y) * K(z,T(u,x)) = T(K(z,u) * K(x,y),x) # label("p9loop 0 11789 ID<201066>"). [assumption]. 12014 T(T(x * K(y,x),z),T(y,u)) = T(x,z * K(y,u)) # label("p9loop 0 11790 ID<792736>"). [assumption]. 12016 T(x,((y \ z) \ u) * w) = T(x,(z \ y) * (u * w)) # label("p9loop 0 11792 ID<2532226>"). [assumption]. 12040 K(x,T((y * z) \ u,w)) = K(x,T(z \ (y \ u),w)) # label("p9loop 0 11816 ID<97434>"). [assumption]. 12045 L(x,y * (T(z,u) * w),v5) = L(x,y * (z * w),v5) # label("p9loop 0 11821 ID<70527>"). [assumption]. 12051 R(x,y * (z \ (u / w)),v5) = R(x,y * (z \ (w \ u)),v5) # label("p9loop 0 11827 ID<4759093>"). [assumption]. 12052 R(x,y,((z * u) \ u) \ w) = R(x,y,(u \ (z \ u)) \ w) # label("p9loop 0 11828 ID<7697987>"). [assumption]. 12061 T(x,y) * (y * (x * z)) = x * (y * (T(x,y) * z)) # label("p9loop 0 11837 ID<521214>"). [assumption]. 12065 a(x,x,L(y * a(x,z,u),w,v5)) = a(x,x,L(y,w,v5)) # label("p9loop 0 11841 ID<5444840>"). [assumption]. 12069 a(x,y,z \ a(z,u,x)) = a(x,y,z \ 1) # label("p9loop 0 11845 ID<10393608>"). [assumption]. 12075 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)) # label("p9loop 0 11851 ID<1233642>"). [assumption]. 12086 T(x,T(L(y,z,u) * w,v5)) = T(x,T(y * w,v5)) # label("p9loop 0 11862 ID<2498928>"). [assumption]. 12095 (1 / x) \ ((y / (x * y)) * z) = z * a(x,x,y) # label("p9loop 0 11871 ID<5265081>"). [assumption]. 12096 L(x,L(y * z,z,z),u) = L(x,(z \ 1) \ y,u) # label("p9loop 0 11872 ID<5419316>"). [assumption]. 12097 L(x,L(y * z,y,y),u) = L(x,(y \ 1) \ z,u) # label("p9loop 0 11873 ID<5419853>"). [assumption]. 12099 x \ R(y * x,y \ 1,y) = ((y * x) \ x) \ 1 # label("p9loop 0 11875 ID<5502620>"). [assumption]. 12105 (x \ y) \ (y / (1 / (y \ x))) = (1 / (y \ x)) \ x # label("p9loop 0 11881 ID<10101075>"). [assumption]. 12109 K(x,T((y / z) / u,w)) = K(x,T(y / (u * z),w)) # label("p9loop 0 11885 ID<89476>"). [assumption]. 12112 (L(x,y,z) * (u \ 1)) * u = L((x * (u \ 1)) * u,y,z) # label("p9loop 0 11888 ID<2789211>"). [assumption]. 12115 L(x,a(y,z,z) * u,w) = L(x,a(z,z,y) * u,w) # label("p9loop 0 11891 ID<5636752>"). [assumption]. 12122 R(x,y,((z * u) \ w) \ v5) = R(x,y,((u * z) \ w) \ v5) # label("p9loop 0 11898 ID<4559947>"). [assumption]. 12123 R(x,y,((z * u) \ z) \ w) = R(x,y,(z \ (u \ z)) \ w) # label("p9loop 0 11899 ID<7875839>"). [assumption]. 12124 R(x,y,(z \ a(u,w,u)) * v5) = R(x,y,(z \ 1) * v5) # label("p9loop 0 11900 ID<479369>"). [assumption]. 12126 T(x,y * ((z \ u) / w)) = T(x,y * (z \ (u / w))) # label("p9loop 0 11902 ID<2519682>"). [assumption]. 12128 T(x,x \ y) / (z / (x \ y)) = x / (z / (y / x)) # label("p9loop 0 11904 ID<763696>"). [assumption]. 12136 x / (((y * z) \ y) * z) = (((y * z) \ y) * z) \ x # label("p9loop 0 11913 ID<366356>"). [assumption]. 12137 K(x,T(y,z * u)) * T(w,u) = T(K(x,T(y,z)) * w,u) # label("p9loop 0 11914 ID<2881683>"). [assumption]. 12142 (x * (T(y,z) \ 1)) * T(y,z) = (x * (y \ 1)) * y # label("p9loop 0 11919 ID<1629109>"). [assumption]. 12144 (x / y) * (z \ (z / (x / y))) = (y \ x) * (z \ (z / (y \ x))) # label("p9loop 0 11921 ID<8101908>"). [assumption]. 12146 (T(x,x \ y) \ z) * u = (((x \ y) \ y) \ z) * u # label("p9loop 0 11923 ID<72765>"). [assumption]. 12154 (a(x,y,z) * u) \ a(x,y,L(z,w,v5)) = a(x,y,z) \ (u \ a(x,y,L(z,w,v5))) # label("p9loop 0 11931 ID<10524581>"). [assumption]. 12164 T(x,y * ((z * u) \ w)) = T(x,y * (u \ (z \ w))) # label("p9loop 0 11941 ID<2516640>"). [assumption]. 12174 (x / y) * ((x / (x / y)) * z) = (y \ x) * (y * z) # label("p9loop 0 11951 ID<3476272>"). [assumption]. 12180 L(T(x,x \ y),x \ 1,y) = T(y * (1 / x),x) \ y # label("p9loop 0 11957 ID<1259823>"). [assumption]. 12182 L(x,y \ (z \ ((z \ 1) \ u)),w) = L(x,y \ L(u,z,z),w) # label("p9loop 0 11959 ID<8474943>"). [assumption]. 12184 L(x,y,x) * (z \ (L(x,y,x) \ u)) = x * (z \ (x \ u)) # label("p9loop 0 11961 ID<6925029>"). [assumption]. 12185 L(L(x,y,z),u,w) \ (x \ v5) = x \ (L(L(x,y,z),u,w) \ v5) # label("p9loop 0 11962 ID<10565085>"). [assumption]. 12193 T(x,K(y,z) * T(u,w)) = T(x,T(K(y,z) * u,w)) # label("p9loop 0 11970 ID<11985>"). [assumption]. 12205 K(x * x,y) * T(z,u) = T(K(x * x,y) * z,u) # label("p9loop 0 11983 ID<40362>"). [assumption]. 12211 (x \ y) * (((x \ y) \ y) * z) = (y / x) * (x * z) # label("p9loop 0 11989 ID<65086>"). [assumption]. 12212 K(T(x,y * K(z,u)) * w,v5) = K(T(x,y) * w,v5) # label("p9loop 0 11990 ID<66294>"). [assumption]. 12214 L(x,(T(y,z) * u) \ w,v5) = L(x,(y * u) \ w,v5) # label("p9loop 0 11992 ID<71764>"). [assumption]. 12215 T(x,y) \ (K(z,x) * u) = K(y,x) * (T(x,z) \ u) # label("p9loop 0 11993 ID<74962>"). [assumption]. 12216 T(K(x,y) * z,K(y,x) * u) = T(z * K(x,y),u) # label("p9loop 0 11994 ID<78180>"). [assumption]. 12217 (x * (y / T(z,u))) * T(z,u) = (x * (y / z)) * z # label("p9loop 0 11995 ID<78892>"). [assumption]. 12220 T(x,y \ (z \ T(y,u))) = T(x,T(z \ K(y,u),y)) # label("p9loop 0 11998 ID<100233>"). [assumption]. 12221 T(x,y * K(z,u \ w)) = T(x,y * K(z,w * u)) # label("p9loop 0 11999 ID<101039>"). [assumption]. 12227 K(T(x,y \ z) * u,w) = K(T(x,y * z) * u,w) # label("p9loop 0 12005 ID<160045>"). [assumption]. 12233 R(x,y,L(z * u,u,u) \ w) = R(x,y,((u \ 1) \ z) \ w) # label("p9loop 0 12011 ID<7085345>"). [assumption]. 12236 R(x * K(y,z),u,u \ 1) = (x * u) * (u \ K(y,z)) # label("p9loop 0 12014 ID<1257835>"). [assumption]. 12239 K(x,y) * T(T(z,x),u) = T(K(x,y) * T(z,u),x) # label("p9loop 0 12017 ID<713321>"). [assumption]. 12245 ((x * y) \ L(x,y,y)) * (x * R(y,y,x)) = x * K(y \ 1,x * y) # label("p9loop 0 12023 ID<9784191>"). [assumption]. 12248 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)) # label("p9loop 0 12026 ID<629204>"). [assumption]. 12250 K(x,y * (z * T(u,w * w))) = K(x,y * (z * u)) # label("p9loop 0 12028 ID<150002>"). [assumption]. 12258 R(x,y,R(z,u,w) \ v5) = R(x,y,L(z,u,w) \ v5) # label("p9loop 0 12036 ID<4759041>"). [assumption]. 12259 T(T((x * y) * (x \ 1),z),x) = R(T(y,z),x,x \ 1) # label("p9loop 0 12037 ID<2944281>"). [assumption]. 12266 a(x,((y * z) \ y) \ u,w) = a(x,(y \ (z \ y)) \ u,w) # label("p9loop 0 12044 ID<8318906>"). [assumption]. 12269 a(x,y,y) \ a(y,y,z) = y \ L(R(y,y,z),y,x) # label("p9loop 0 12047 ID<5291380>"). [assumption]. 12283 L(x,y \ (z \ (u / w)),v5) = L(x,y \ (z \ (w \ u)),v5) # label("p9loop 0 12062 ID<4536898>"). [assumption]. 12286 R(x,y,L(z,u \ 1,u) \ w) = R(x,y,L(z,u,u) \ w) # label("p9loop 0 12065 ID<8931639>"). [assumption]. 12289 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,y \ 1,y) # label("p9loop 0 12068 ID<1683811>"). [assumption]. 12291 T(x,T((y / z) * u,w)) = T(x,T(y * (z \ u),w)) # label("p9loop 0 12070 ID<2545442>"). [assumption]. 12297 (x \ y) * L(T((x \ y) \ y,z),u,w) = L(T(x,z),u,w) * (x \ y) # label("p9loop 0 12076 ID<1898674>"). [assumption]. 12299 T(x,y) * T(T(z,x),u) = K(x,y) * (T(z,u) * x) # label("p9loop 0 12078 ID<325897>"). [assumption]. 12300 L(x,(y * (z / u)) \ w,v5) = L(x,(y * (u \ z)) \ w,v5) # label("p9loop 0 12079 ID<71762>"). [assumption]. 12302 R(x,y,((z / u) \ w) \ v5) = R(x,y,((u \ z) \ w) \ v5) # label("p9loop 0 12081 ID<4302463>"). [assumption]. 12314 T(x,T(y / z,z * u) * w) = T(x,T(z \ y,u) * w) # label("p9loop 0 12093 ID<1089886>"). [assumption]. 12316 a(x,y,((z / u) \ w) * v5) = a(x,y,((u \ z) \ w) * v5) # label("p9loop 0 12095 ID<1275322>"). [assumption]. 12317 a(x,y,(z \ u) * a(z,w,w)) = a(x,y,L(z,w,w) \ u) # label("p9loop 0 12096 ID<6856705>"). [assumption]. 12319 (x / y) * T((x / y) \ z,u) = x * (y \ T(y * (x \ z),u)) # label("p9loop 0 12098 ID<3591201>"). [assumption]. 12327 T((x * y) / x,z) * u = T(y * K(x,y),z) * u # label("p9loop 0 12106 ID<266465>"). [assumption]. 12331 T(x,T((y / z) / u,w)) = T(x,T(y / (u * z),w)) # label("p9loop 0 12110 ID<373037>"). [assumption]. 12333 ((1 / x) * y) * T(z,x \ y) = z * ((1 / x) * y) # label("p9loop 0 12112 ID<395788>"). [assumption]. 12338 L(T(x,x \ y),z,u) \ y = T(L(x,z,u) \ y,x) # label("p9loop 0 12117 ID<497037>"). [assumption]. 12339 (x \ y) * K(z,z \ x) = T(y / ((z \ x) * z),x) # label("p9loop 0 12118 ID<512916>"). [assumption]. 12340 (x \ (x / y)) * K(y \ 1,z) = T(x \ (x / y),z) # label("p9loop 0 12119 ID<590232>"). [assumption]. 12341 K(x \ 1,y) * (z \ (z / x)) = T(z \ (z / x),y) # label("p9loop 0 12120 ID<590239>"). [assumption]. 12344 K((x \ (y * z)) * u,w) = K((x \ y) * (z * u),w) # label("p9loop 0 12123 ID<2422134>"). [assumption]. 12349 T(x \ (y \ 1),y * x) = ((x \ (y \ 1)) \ 1) \ 1 # label("p9loop 0 12128 ID<1620376>"). [assumption]. 12360 L(x,y * L(z,u \ 1,u),w) = L(x,y * L(z,u,u),w) # label("p9loop 0 12139 ID<8166855>"). [assumption]. 12367 T(x,T(y / (z / u),w)) = T(x,T(y * (u / z),w)) # label("p9loop 0 12146 ID<2564463>"). [assumption]. 12386 (x \ 1) * ((y / x) / (x \ 1)) = (y / x) * K(x \ 1,y) # label("p9loop 0 12166 ID<1199103>"). [assumption]. 12389 L(x,y * ((z * u) * (z \ 1)),w) = L(x,y * L(u,z,z),w) # label("p9loop 0 12169 ID<918119>"). [assumption]. 12405 (x / y) * R((x / y) \ z,u,w) = (y \ x) * R((y \ x) \ z,u,w) # label("p9loop 0 12185 ID<416943>"). [assumption]. 12409 T(x,y \ (z / (u \ w))) = T(x,(y \ z) * (w \ u)) # label("p9loop 0 12189 ID<2516712>"). [assumption]. 12411 (a(x,x,y) * a(x,z,u)) * w = a(x,x,y) * (a(x,z,u) * w) # label("p9loop 0 12191 ID<5748735>"). [assumption]. 12414 (a(x,x,y) \ z) * a(x,u,w) = z * (a(x,x,y) \ a(x,u,w)) # label("p9loop 0 12194 ID<10912074>"). [assumption]. 12416 K(x * T(y,z),T(u,y * w)) = K(T(y,z) * x,T(u,w)) # label("p9loop 0 12196 ID<98835>"). [assumption]. 12419 T(x,T(y \ z,u * (y * w))) = T(x,T(z / y,u * w)) # label("p9loop 0 12199 ID<88477>"). [assumption]. 12421 ((x \ y) \ z) * K(x \ y,y \ x) = (1 / (1 / (x \ y))) \ z # label("p9loop 0 12201 ID<1604631>"). [assumption]. 12424 T(T(K(x,y) * z,u),K(y,x) * w) = T(T(z * K(x,y),u),w) # label("p9loop 0 12204 ID<3042703>"). [assumption]. 12427 T(x \ (x / y),z) \ K(y \ 1,z) = (x \ (x / y)) \ 1 # label("p9loop 0 12207 ID<590289>"). [assumption]. 12428 T(x \ L(L(x,y,z),u,w),v5) = x \ L(L(x,y,z),u,w) # label("p9loop 0 12208 ID<3368434>"). [assumption]. 12434 T(x,y * ((z * u) * w)) = T(x,y * (z * (u * w))) # label("p9loop 0 12214 ID<2516556>"). [assumption]. 12443 (x * (y * (x \ 1))) / x = (x * (y / x)) * (x \ 1) # label("p9loop 0 12223 ID<2915498>"). [assumption]. 12454 x * K(x * y,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1) # label("p9loop 0 12234 ID<837306>"). [assumption]. 12472 (L(L(x,y,z),u,w) \ x) \ 1 = x \ L(L(x,y,z),u,w) # label("p9loop 0 12252 ID<5378426>"). [assumption]. 12493 a(x,y,L(z,x,x) * u) = a(x,y,z * L(u,x,x)) # label("p9loop 0 12273 ID<12408941>"). [assumption]. 12495 L(L(x,y,z) * a(u,x,x),L(x,y,z),u) = L(x,y,z) # label("p9loop 0 12275 ID<12459838>"). [assumption]. 12497 x * a(y,y,L(z,x,u * x)) = u * ((a(y,y,z) \ u) \ x) # label("p9loop 0 12277 ID<12488320>"). [assumption]. 12498 (x / y) * (y * a(z,z,u)) = y * ((a(z,z,u) \ y) \ x) # label("p9loop 0 12278 ID<12487572>"). [assumption]. 12499 (a(x,x,y) * z) * (z \ u) = z * ((a(x,x,y) \ z) \ u) # label("p9loop 0 12279 ID<12493608>"). [assumption]. 12500 L(x,a(y,z,a(u,u,w)),z) = L(x,z,a(y,z,a(u,u,w))) # label("p9loop 0 12280 ID<12766194>"). [assumption]. 12502 L(x,y,a(z,y,a(u,u,w))) = x # label("p9loop 0 12282 ID<12766257>"). [assumption]. 12503 a(x,y,a(z,z,u)) * (y * w) = y * (a(x,y,a(z,z,u)) * w) # label("p9loop 0 12283 ID<12766700>"). [assumption]. 12510 ((x * T(y,z)) \ u) \ y = ((x * y) \ u) \ T(y,z) # label("p9loop 0 12290 ID<14241993>"). [assumption]. 12515 (x \ (1 / x)) * R(y,z,u) = R((x \ (1 / x)) * y,z,u) # label("p9loop 0 12295 ID<15905386>"). [assumption]. 12516 L(x,(y \ z) \ (z \ 1),u) = L(x,(z * z) \ y,u) # label("p9loop 0 12296 ID<15921203>"). [assumption]. 12524 a(x,y,(z * (u \ (w \ u))) \ 1) = a(x,y,L(w,w,u) * (z \ 1)) # label("p9loop 0 12304 ID<19452183>"). [assumption]. 12531 R(x,y * (z \ 1),z) = R(x,z \ y,z) # label("p9loop 0 12311 ID<20971002>"). [assumption]. 12533 a(a(x,y,z) * u,z,z) = a(u,z,z) # label("p9loop 0 12313 ID<21704448>"). [assumption]. 12534 a(x * L(y,z,u),y,y) = a(x * y,y,y) # label("p9loop 0 12314 ID<21704928>"). [assumption]. 12539 L(x,x,L(x,y,z) * u) = L(x,x,u * x) # label("p9loop 0 12319 ID<21705157>"). [assumption]. 12540 a(a(x,y,z) * u,x,x) = a(u,x,x) # label("p9loop 0 12320 ID<21704487>"). [assumption]. 12541 L(x,x,a(y,z,x) * u) = L(x,x,u) # label("p9loop 0 12321 ID<21706193>"). [assumption]. 12542 L(x,x,y * L(x,z,u)) = L(x,x,y * x) # label("p9loop 0 12322 ID<21706179>"). [assumption]. 12543 a(x * (y \ z),y,y) = a(x * (z * y),y,y) # label("p9loop 0 12323 ID<21707330>"). [assumption]. 12547 a(x * (y * z),z,z) = a(z * (x * y),z,z) # label("p9loop 0 12327 ID<21704728>"). [assumption]. 12548 L(x,x,y * (x \ z)) = L(x,x,y * (z * x)) # label("p9loop 0 12328 ID<21711024>"). [assumption]. 12549 L(x,x,y * (z \ x)) = L(x,x,y * (z * x)) # label("p9loop 0 12329 ID<21711399>"). [assumption]. 12550 L(x,x,a(x,y,z) * u) = L(x,x,u) # label("p9loop 0 12330 ID<21716054>"). [assumption]. 12558 a(L(x,x,y) * z,z,z) = a(x * z,z,z) # label("p9loop 0 12338 ID<21710453>"). [assumption]. 12568 K(x,y * z) * ((x * z) \ (z * (y * x))) = L(a(z,y,x) \ y,z,x) # label("p9loop 0 12348 ID<29384655>"). [assumption]. 12572 x * (a(x,y * z,y \ 1) * z) = (x * (z / (y \ 1))) * (y \ 1) # label("p9loop 0 12352 ID<30267724>"). [assumption]. 12577 a(x,x,a(y,x,z) * u) = a(x,x,u) # label("p9loop 0 12357 ID<32153803>"). [assumption]. 12578 a(x,x,y * a(z,x,u)) = a(x,x,y) # label("p9loop 0 12358 ID<32153953>"). [assumption]. 12579 L(x,(y * a(z,z,u)) * w,v5) = L(x,w * (a(u,z,z) * y),v5) # label("p9loop 0 12359 ID<32419472>"). [assumption]. 12582 L(x,(a(y,z,u) * w) * v5,v6) = L(x,v5 * (a(u,z,y) * w),v6) # label("p9loop 0 12362 ID<32582921>"). [assumption]. 12583 T(x,y) * ((z * L(T(x,y),u,w)) \ v5) = x * ((z * L(x,u,w)) \ v5) # label("p9loop 0 12363 ID<33193959>"). [assumption]. 12587 L(x,y,y * (x \ z)) = ((z / (y * x)) * y) \ z # label("p9loop 0 12367 ID<35380888>"). [assumption]. 12588 (R(x,y,z) / (u * x)) * u = a(x,y,z) * a(u,u,x) # label("p9loop 0 12368 ID<35426066>"). [assumption]. 12601 a(c11,c12,a(c13,c14,c15)) != 1 # label("aa3"). [deny(12)]. 12602 R(K(x,y),z,u) = K(x,y). [back_rewrite(74),rewrite([77(4),305(4)])]. 12603 T(x,R(y,z,u)) = T(x,y). [back_rewrite(73),rewrite([298(4)])]. 12604 K(x,y) * (K(y,x) * z) = z. [back_rewrite(212),rewrite([301(7)])]. 12605 R(x,y,K(z,u)) = x. [back_rewrite(76),rewrite([301(4)])]. 12606 R(x,K(y,z),u) = x. [back_rewrite(75),rewrite([302(4)])]. 12608 L(K(x,y),z,u) = K(x,y). [back_rewrite(77),rewrite([305(4)])]. 12609 K(x,R(y,z,u)) = K(x,y). [back_rewrite(71),rewrite([305(4)])]. 12610 ((x * y) * z) / R(x,y,z) = y * (z * K(x,y * z)). [back_rewrite(258),rewrite([306(8),682(8)])]. 12612 K(R(x,y,z),u) = K(x,u). [back_rewrite(176),rewrite([306(4)])]. 12613 T(x * K(y,z),K(z,y)) = K(y,z) * x. [back_rewrite(181),rewrite([418(4)])]. 12619 x * (K(y,z) * K(u,w)) = x * (K(u,w) * K(y,z)). [back_rewrite(419),rewrite([1014(5),682(8)])]. 12624 L(x,K(y,z) * u,w) = L(x,u,w). [back_rewrite(765),rewrite([884(6)])]. 12625 T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). [back_rewrite(423),rewrite([923(3),5330(4)])]. 12630 (x * T(x \ y,z)) / y = K(y / x,z). [back_rewrite(227),rewrite([7070(8),19(7)])]. 12639 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [back_rewrite(532),rewrite([1035(4)])]. 12640 K(x,y * (z / (y * u))) = K(x,T(z / u,y)). [back_rewrite(966),rewrite([1048(4),5340(4)])]. 12643 T(K(x,y) * z,K(y,x)) = z * K(x,y). [back_rewrite(546),rewrite([1104(2),1105(6)])]. 12653 a(x,(y * ((z \ K(u,w)) \ v5)) \ v6,v7) = a(x,(y * ((z \ 1) \ v5)) \ v6,v7). [back_rewrite(1486),rewrite([3973(6),3973(12)])]. 12658 T(x,K(y,x * z)) = T(x,K(y,z)). [back_rewrite(659),rewrite([1742(3)])]. 12660 T(x,K(y,z / u)) = T(x,K(y,z * u)). [back_rewrite(331),rewrite([1742(6)])]. 12662 K(x,T(y \ z,y * u)) = K(x,T(z / y,u)). [back_rewrite(606),rewrite([1787(5),1035(5),10193(5)])]. 12663 K(x,T(y,z / u)) = K(x,T(y,z * u)). [back_rewrite(369),rewrite([1787(6)])]. 12666 K(x,T(y,z) * (z \ u)) = K(x,(z \ y) * u). [back_rewrite(1045),rewrite([1908(4),5325(4),5326(7)])]. 12669 x \ (T(x,y) * z) = K(x,y) * z. [back_rewrite(207),rewrite([2191(6)])]. 12672 a(x,y,z) * L(z,y,x) = z. [back_rewrite(2435),rewrite([9237(2)])]. 12679 K(x,T(x,y) / z) = K(x,z \ x). [back_rewrite(2733),rewrite([5435(4),2737(6)])]. 12684 T(x,y * T(z / T(u,w),u)) = T(x,y * (T(u,w) \ z)). [back_rewrite(1740),rewrite([3014(3)])]. 12695 (x \ K(x,y)) * (T(x,x \ 1) * z) = L(K(x,y) * z,x,x). [back_rewrite(2977),rewrite([3336(11)])]. 12702 K(x,y) * (T(y,z) * x) = K(y,z) * (x * y). [back_rewrite(245),rewrite([12299(4),3618(7)])]. 12703 (K(x,y) / y) * K(y,x) = 1 / y. [back_rewrite(1588),rewrite([3835(4)])]. 12705 T(x,K(y,x)) = x. [back_rewrite(868),rewrite([3911(4),492(2)])]. 12708 L(x,((y * z) \ ((y * u) * z)) \ w,v5) = L(x,L(u,y,z) \ w,v5). [back_rewrite(4173),rewrite([4175(9)])]. 12709 L(x,(y * z) \ ((y * u) * z),w) = L(x,L(u,y,z),w). [back_rewrite(4176),rewrite([4179(7)])]. 12710 L(R((x \ 1) \ 1,y,z) \ u,x,x) = (R(x,y,z) \ 1) * u. [back_rewrite(3603),rewrite([4179(9),8192(9)])]. 12713 x * (y * ((x \ y) / y)) = T(y,x \ 1). [back_rewrite(3974),rewrite([4263(4)])]. 12731 L(x,y,z \ (u \ K(w,v5))) = L(x,y,z \ u). [back_rewrite(1494),rewrite([4677(8)])]. 12734 (x * y) / L(T(x,y),z,u) = x * (L(x,z,u) \ y). [back_rewrite(2458),rewrite([4906(7)])]. 12736 x * R(x \ (y / x),z,u) = R(y,z,u) / x. [back_rewrite(4459),rewrite([4925(4)])]. 12737 x \ ((1 / x) \ y) = a(x,x,y) * y. [back_rewrite(4006),rewrite([4950(5)]),flip(a)]. 12739 x * (y * a(x,z \ y,z)) = (x * (y / z)) * z. [back_rewrite(817),rewrite([4971(4)])]. 12740 x * (R(x,y,y) \ z) = a(x,y,y) \ z. [back_rewrite(4929),rewrite([9230(4),5135(5)]),flip(a)]. 12742 x * (L(x,y,z) \ (a(z,y,x) \ u)) = L(u,x,a(z,y,x)). [back_rewrite(2838),rewrite([9315(4),5011(8),8881(8)])]. 12743 L(x,y,z) * L(u,x,a(z,y,x)) = x * (a(z,y,x) \ u). [back_rewrite(4492),rewrite([8881(4),9373(8),6563(7)])]. 12745 x * R(x \ y,z,u) = y * a(y \ x,z,u). [back_rewrite(4926),rewrite([9234(4)]),flip(a)]. 12749 a(x * y,x \ y,x) = (x / y) * (y / x). [back_rewrite(3324),rewrite([8326(3),5090(8)])]. 12750 K(x / (y \ z),u) = K(x * (z \ y),u). [back_rewrite(4812),rewrite([10993(5),12630(6),5206(6)])]. 12756 K(x / (y * (z \ 1)),u) = K(x * (T(y,z) \ z),u). [back_rewrite(2120),rewrite([5206(9)])]. 12762 K((T(x,y) \ y) * z,u) = K(y * (x \ z),u). [back_rewrite(1251),rewrite([5206(7)])]. 12781 T(x,y * ((z \ 1) * u)) = T(x,y * (z \ u)). [back_rewrite(4538),rewrite([5282(8)])]. 12810 K(T(x / y,x) \ z,u) = K((x \ y) * z,u). [back_rewrite(2175),rewrite([5297(7)])]. 12811 K(x \ T(y * z,y),u) = K((x \ z) * y,u). [back_rewrite(1633),rewrite([5297(7)])]. 12817 K(T(x,y) * (y \ z),u) = K((y \ x) * z,u). [back_rewrite(1152),rewrite([7352(4),5297(7)])]. 12820 K((x \ y) \ z,u) = K((y \ x) * z,u). [back_rewrite(952),rewrite([5297(6)])]. 12826 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [back_rewrite(2879),rewrite([5325(8),5347(8)])]. 12831 K(x,y / (z \ u)) = K(x,y * (u \ z)). [back_rewrite(1908),rewrite([5325(6)])]. 12837 K(x,y * ((z \ (u \ z)) * w)) = K(x,y * (T(u,z) \ w)). [back_rewrite(1131),rewrite([5325(5),11453(5),5325(9)])]. 12849 K(x,(x \ y) * z) = K(x,y * (x \ z)). [back_rewrite(2707),rewrite([5326(3)])]. 12851 K(x,y \ T(z * u,z)) = K(x,(y \ u) * z). [back_rewrite(2274),rewrite([5326(7)])]. 12890 T(x,(y \ (y \ z)) * (y * u)) = T(x,z * (y \ u)). [back_rewrite(4573),rewrite([5330(5),5328(8)])]. 12893 T(x \ y,(y \ x) * z) = T(x \ y,x * (y \ z)). [back_rewrite(3012),rewrite([5328(4),5330(8)]),flip(a)]. 12908 T(x,y * ((z \ (u \ z)) * w)) = T(x,y * (T(u,z) \ w)). [back_rewrite(1130),rewrite([5328(5),11897(5),5328(9)])]. 12909 T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). [back_rewrite(1117),rewrite([5328(4),5336(7)])]. 12910 T(x,T(y \ z,y) \ u) = T(x,y * (z \ u)). [back_rewrite(450),rewrite([5328(7)])]. 12922 T(x,(y \ (z \ y)) * u) = T(x,T(z,y) \ u). [back_rewrite(1068),rewrite([5330(4)])]. 12923 T(x,(y \ z) \ u) = T(x,(z \ y) * u). [back_rewrite(999),rewrite([5330(6)])]. 12933 K(x,y * ((z / T(u,z)) / w)) = K(x,y * ((u \ z) / w)). [back_rewrite(1767),rewrite([5340(5),5340(9)])]. 12937 K(x,y * (T(z,z * u) / w)) = K(x,y * (T(z,u) / w)). [back_rewrite(1641),rewrite([5340(5),5340(9)])]. 12942 K(x,(y * z) / u) = K(x,y * (z / u)). [back_rewrite(1048),rewrite([5340(6)])]. 12943 K(x,y * (y * ((y * z) \ u))) = K(x,(z \ y) * u). [back_rewrite(3402),rewrite([5342(10),373(7)])]. 12958 K(x,(y \ a(z,u,w)) * v5) = K(x,y \ v5). [back_rewrite(1212),rewrite([5347(4),5300(4)]),flip(a)]. 12969 K(x,T(1 / y,z) \ u) = K(x,T(y,z) * u). [back_rewrite(2939),rewrite([5431(6),5431(11),1142(10)])]. 12971 K(x,y / T(x,z)) = K(x,x \ y). [back_rewrite(2929),rewrite([5436(4)])]. 12974 (x * a(y,z,u)) * a(y,z,u) = x * (a(y,z,u) * a(y,z,u)). [back_rewrite(4496),rewrite([9237(4),9237(5),9237(8),9040(9),9237(4),8871(7),4233(7),9237(6),9237(7)])]. 12976 T(x,a(y,z,u) / w) = T(x,w \ 1). [back_rewrite(664),rewrite([5547(6)])]. 12982 K(x / (y * y),z) = K(y \ (y \ x),z). [back_rewrite(406),rewrite([5791(6)])]. 12984 K(x,T(y \ z,u * y)) = K(x,T(z / y,u)). [back_rewrite(567),rewrite([5795(4)])]. 12986 K(x,T(y * K(z,y),u)) = K(x,T(y,u * z)). [back_rewrite(563),rewrite([5795(7)])]. 12994 K(x,K(y,z / u)) = K(x,K(y,z * u)). [back_rewrite(347),rewrite([5902(6)])]. 13006 (x \ y) \ (x \ R(y,z,u)) = a((y \ x) * x,z,u). [back_rewrite(6400),rewrite([9234(2),8871(4),8816(4),6403(9)]),flip(a)]. 13007 a(x,y,L(z,x,z * y)) = a(x,y,z). [back_rewrite(2208),rewrite([6408(6),9281(6)])]. 13009 a(x,y,L(z,z,L(u,y,x))) = a(x,y,L(z,z,u)). [back_rewrite(6284),rewrite([9237(2),8871(3),8525(2),6425(7),9439(7)])]. 13010 a(x * y,y,L(z,z,x)) = a(y * x,y,z). [back_rewrite(5987),rewrite([8303(2),6425(5),9439(5),8301(5)])]. 13014 (a(x,y,z) / u) \ 1 = (z / u) \ L(z,y,x). [back_rewrite(5477),rewrite([9388(4),9456(3),6599(9)])]. 13016 (x / y) * L(y,z,z) = a(z,z,y) \ x. [back_rewrite(5562),rewrite([6653(5),9229(4)]),flip(a)]. 13018 T((x / y) * a(z,u,w),y) = a(z,u,w) * (y \ x). [back_rewrite(5808),rewrite([6703(6),5279(6)])]. 13020 L(a(x,y,a(z,u,w)) * u,w,a(x,y,z)) = L(u,a(x,y,z),w). [back_rewrite(6477),rewrite([6820(3),8982(2)])]. 13022 L(x,y,z \ (u \ (w \ ((w * (z \ 1)) * u)))) = L(x,y,a(w,z,u)). [back_rewrite(6526),rewrite([6919(12)])]. 13028 K(T(x * y,x) / z,u) = K(y * (x / z),u). [back_rewrite(1636),rewrite([7070(7)])]. 13029 K(K(x,y) * (z / (x / u)),w) = K(z * (u / T(x,y)),w). [back_rewrite(1122),rewrite([7070(9)])]. 13031 K(x * (y / (y * z)),u) = K(x / T(z,y),u). [back_rewrite(1087),rewrite([7070(4),9762(4)])]. 13040 T(x,(y \ T(z,y)) * u) = T(x,z * (y \ u)). [back_rewrite(1255),rewrite([7131(7)])]. 13045 a(x,y,L(z \ L(z,u,w),v5,v6)) = a(x,y,a(z,u,L(w,v5,v6))). [back_rewrite(6313),rewrite([7292(5),8675(4),9234(6),8871(6)])]. 13047 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,L(y,z,u),z * u). [back_rewrite(5801),rewrite([7325(10)])]. 13060 K(x,y * ((z / y) * u)) = K(x,T(z,y) * u). [back_rewrite(1800),rewrite([7351(4)])]. 13061 K(x,T(y * z,z) * u) = K(x,z * (y * u)). [back_rewrite(1799),rewrite([7351(7)])]. 13069 K(x,y * (z * (u * K(w,y)))) = K(x,T(y,w) * (z * u)). [back_rewrite(1182),rewrite([7351(5),7351(9)])]. 13077 K(x * (y \ (z \ y)),u) = K(x / T(z,y),u). [back_rewrite(1049),rewrite([7352(4)])]. 13078 K(x * ((x * y) \ z),u) = K(T(y,x) \ z,u). [back_rewrite(446),rewrite([7352(4)])]. 13083 T(L(x,y,z) * (x \ u),x) = x \ (u * L(x,y,z)). [back_rewrite(2831),rewrite([7924(4)])]. 13084 a(x,y,z \ (((u * w) \ u) * v5)) = a(x,y,z \ ((u \ (w \ u)) * v5)). [back_rewrite(7955),rewrite([7956(10)])]. 13091 a(x,y,z) * (u * (a(x,y,z) \ (u \ 1))) = a(x,y,a(z,u,a(x,y,z) * u)). [back_rewrite(6952),rewrite([9576(5),8135(7),8107(12),8982(11)])]. 13095 (x * (y * z)) \ (x * (y * L(z,y,a(x,u,w)))) = a(x,y,z) \ a(x,y,L(z,u,w)). [back_rewrite(6595),rewrite([8914(7),9022(6),8871(10)])]. 13096 (a(x,y,L(z,u,w)) \ v5) * a(x,y,z) = v5 * (a(x,y,z) \ a(x,y,L(z,u,w))). [back_rewrite(5458),rewrite([8202(3),5237(4),8489(5),8871(2),8871(8)])]. 13108 L(x \ a(y,z,u),x,a(y,z,u)) = a(y,z,u) * (x \ 1). [back_rewrite(6050),rewrite([8199(8),9576(8)])]. 13109 (a(x,y,z) * a(x,y,z)) \ u = a(x,y,z) \ (a(x,y,z) \ u). [back_rewrite(5275),rewrite([8200(6)]),flip(a)]. 13110 x / (a(y,z,u) \ 1) = a(y,z,u) * x. [back_rewrite(7166),rewrite([8201(8)])]. 13111 (a(x,y,z) * a(x,y,z)) * u = z * (L(L(z,y,x),y,x) \ u). [back_rewrite(3547),rewrite([8201(5),8564(4)]),flip(a)]. 13113 (a(x,y,z) * u) \ u = a(x,y,z) \ 1. [back_rewrite(6848),rewrite([8202(6)])]. 13114 (a(x,y,z) \ u) / u = a(x,y,z) \ 1. [back_rewrite(6721),rewrite([8202(6)])]. 13119 (x * y) \ ((x * (a(z,u,w) \ y)) * a(z,u,w)) = a(x,y,a(w,u,z)). [back_rewrite(7247),rewrite([9315(6),8205(7),9237(6),9752(10)])]. 13122 x * (L(x,y,z) \ z) = R(z,y,x). [back_rewrite(6757),rewrite([8205(3),9237(2),9238(2)]),flip(a)]. 13123 L(x,y,a(z,u,y)) * a(z,u,y) = y * (L(y,u,z) \ x). [back_rewrite(6086),rewrite([8881(5),8205(5),9237(4)])]. 13127 x / (y \ L(y,z,u)) = x * a(u,z,y). [back_rewrite(4188),rewrite([8205(6),9237(5)])]. 13134 a(x,y,z \ L(z,u,w)) = a(x,y,a(w,u,z)). [back_rewrite(7003),rewrite([8249(5),4904(4),9237(2)]),flip(a)]. 13137 (x \ 1) * (x * (L(x,y,z) \ u)) = (L(x,y,z) \ 1) * u. [back_rewrite(6233),rewrite([8262(11)])]. 13138 L(x,y * z,a(z,z,y)) = x. [back_rewrite(7234),rewrite([8272(6),9229(5)])]. 13139 (x / (x * y)) * ((x * y) * z) = x * L(z,x * y,y). [back_rewrite(6483),rewrite([8289(4),8870(3),9276(3),9275(4)]),flip(a)]. 13140 x \ (y * R(y \ x,x,z)) = a(x * y,x,z). [back_rewrite(7960),rewrite([8296(3),9285(2)]),flip(a)]. 13143 ((x * y) * z) * a(x,y,z) = (R(x,y,z) * y) * z. [back_rewrite(7028),rewrite([8296(4)])]. 13147 ((x / y) / z) \ x = (z * y) * a(z * (y \ x),z,y). [back_rewrite(7800),rewrite([8301(7)])]. 13148 a(x * y,x,a(z,u,x)) = a(y,x,a(z,u,x)). [back_rewrite(6971),rewrite([8301(3)])]. 13149 (((x / y) * (y * z)) / z) \ x = a(y * x,y,z). [back_rewrite(6604),rewrite([8301(7)])]. 13154 (x * y) \ ((z / x) \ (z * y)) = a(x * z,x,y). [back_rewrite(6174),rewrite([8301(7)])]. 13162 (x / y) * L(y,z,x * z) = ((x / z) * (z * y)) / y. [back_rewrite(6249),rewrite([8303(3)])]. 13176 L(x \ y,x,z * x) = z \ ((z / x) * y). [back_rewrite(3570),rewrite([8303(3)])]. 13177 x * L(y,z,x * z) = (x / z) * (z * y). [back_rewrite(2468),rewrite([8303(2)])]. 13187 a(x,y * (a(z,u,z) * w),v5) = a(x,y * w,v5). [back_rewrite(2378),rewrite([8381(4)])]. 13188 L(x,x \ y,x * y) = (1 / (y / x)) * y. [back_rewrite(3325),rewrite([8424(3)])]. 13189 L(x * a(y,y \ 1,z),y \ 1,y) = y * (((y \ z) / z) * x). [back_rewrite(5722),rewrite([8426(3),4975(7)])]. 13192 a(x,y,L(z,z,u)) * u = z * (L(z,y,x) \ u). [back_rewrite(7450),rewrite([9237(2),8871(3),8525(2),13009(3)])]. 13193 x / L(a(y,z,u) \ 1,w,v5) = a(y,z,L(u,w,v5)) * x. [back_rewrite(7017),rewrite([8503(10),8871(7)])]. 13195 (a(x,y,z) \ u) * a(x,y,L(z,w,v5)) = a(x,y,z) * (a(x,y,L(z,w,v5)) \ u). [back_rewrite(6593),rewrite([9237(2),9237(3),8871(3),9040(11),9237(9),8871(9),9373(11),8919(10)]),flip(a)]. 13196 a(x,y,L(L(z,x,u),u,u)) = a((x \ u) * u,y,z). [back_rewrite(7755),rewrite([9344(3),8870(3),8870(3)])]. 13198 a(x,y,L(y,x,z)) = a(x,y,y). [back_rewrite(7398),rewrite([9470(3),29(3),303(2),8527(3)]),flip(a)]. 13200 a(x,y,L(y,z,x * y)) = a(x,y,y). [back_rewrite(5316),rewrite([8527(3)])]. 13203 a(x,y,a(z,u,L(w,y,y))) = a(w,u,a(z,y,x)). [back_rewrite(8459),rewrite([8871(2),8982(5)])]. 13206 x \ (L(L(y,z,u),z,u) * (y \ w)) = (x \ w) * (y \ L(L(y,z,u),z,u)). [back_rewrite(8583),rewrite([8587(4)])]. 13214 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,x). [back_rewrite(7319),rewrite([8656(3)])]. 13215 x * (L(x,y,z) \ (z * y)) = R(z,y,x) * y. [back_rewrite(6427),rewrite([8656(7)])]. 13218 L(x,y * L(y,z,u),a(u,z,y)) = x. [back_rewrite(7598),rewrite([8881(5),9151(4),8176(3),8881(5)]),flip(a)]. 13219 (x / y) * (y * a(z,u,y)) = y * (L(y,u,z) \ x). [back_rewrite(6610),rewrite([9237(3),9237(6),8871(6),9422(7)])]. 13223 ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. [back_rewrite(6067),rewrite([8698(10)])]. 13231 a((x \ y) * z,u,a(w,w,x)) = a(x * (z \ y),u,a(w,w,x)). [back_rewrite(8844),rewrite([8849(4)])]. 13233 (x * (y * ((x * y) \ z))) \ z = a(x,y,y \ (x \ z)). [back_rewrite(7997),rewrite([8863(8)])]. 13241 a(x \ (y \ x),x * y,z) = a(y,x * y,z). [back_rewrite(8289),rewrite([8870(7),9276(7)])]. 13244 a(x,y,L(z,x,x * u)) = a(x,y,L(z,x,u)). [back_rewrite(7754),rewrite([8870(3),8870(5)])]. 13249 a(x,y,L(L(x,z,u),w,v5)) = a(x,y,x). [back_rewrite(7341),rewrite([8870(3)])]. 13252 a(x,y,L(z,u * x,u * x)) = a((x \ u) * u,y,z). [back_rewrite(5108),rewrite([8870(4)])]. 13254 a(x \ (x \ y),z,u) = a(y,z,L(u,x,x)). [back_rewrite(4964),rewrite([8870(5)])]. 13256 a(x * (x * y),z,u) = a(y,z,L(u,x,x)). [back_rewrite(4739),rewrite([8870(5)])]. 13263 a(x * (y * x),z,u) = a(y,z,L(u,x,x)). [back_rewrite(2562),rewrite([8870(5)])]. 13264 a((x * y) * y,z,u) = a(x,z,L(u,y,y)). [back_rewrite(2561),rewrite([8870(5)])]. 13265 a(R(x,y,z),u,w) = a(x,u,L(w,y,z)). [back_rewrite(2531),rewrite([8870(4)])]. 13268 L(x,a(y,z,u),L(u,w,v5)) = L(x,u,a(u,z,L(y,w,v5))). [back_rewrite(8673),rewrite([8871(5)])]. 13269 L(x,L(y,z,u),a(w,v5,y)) = L(x,y,a(y,v5,L(w,z,u))). [back_rewrite(8672),rewrite([8871(5)])]. 13271 L(a(x,y,z) \ 1,u,w) \ v5 = a(x,y,L(z,u,w)) * v5. [back_rewrite(8503),rewrite([8871(7)])]. 13272 L(a(x,y,z) \ 1,u,w) * v5 = a(x,y,L(z,u,w)) \ v5. [back_rewrite(8490),rewrite([8871(7)])]. 13273 x * L(a(y,z,u) \ 1,w,v5) = a(y,z,L(u,w,v5)) \ x. [back_rewrite(8489),rewrite([8871(7)])]. 13278 a(x,y,L(z,L(x,u,w),v5)) = a(x,y,L(z,x,L(v5,u,w))). [back_rewrite(8346),rewrite([8871(3),8871(6)])]. 13280 a(x,y,L(z,x,y * z)) = a(x,y,z). [back_rewrite(8270),rewrite([8871(3),9234(5)])]. 13282 (a(x,y,z) \ u) * a(w,v5,a(x,y,z)) = a(x,y,L(z,v5,w)) \ u. [back_rewrite(8126),rewrite([8871(7)])]. 13284 a(x,y,z) \ a(x,y,L(z,u,w)) = a(x,y,a(z,u,w)). [back_rewrite(8120),rewrite([8871(3),8982(6)])]. 13285 a(x,y,z) * a(x,y,a(z,u,w)) = a(x,y,L(z,u,w)). [back_rewrite(8119),rewrite([8982(3),8871(6)])]. 13286 a(x,y,z) * (u * a(x,y,a(z,w,v5))) = a(x,y,L(z,w,v5)) * u. [back_rewrite(8117),rewrite([8982(3),8871(7)])]. 13294 (x * (y * a(z,u,w))) / (x * y) = a(z,u,L(w,y,x)). [back_rewrite(7207),rewrite([8871(7)])]. 13299 a(x,y,L(z,z,u * z)) = a(x,y,L(z,z,u)). [back_rewrite(6592),rewrite([8871(3),8871(5)])]. 13302 ((x * a(y,z,u)) * w) \ (a(y,z,L(u,x,w)) * ((x * w) * v5)) = L(v5,x * w,a(y,z,L(u,x,w))). [back_rewrite(5997),rewrite([8871(5),8871(12)])]. 13306 x \ ((1 / x) \ a(y,z,u)) = a(y,z,L(u,x,x)). [back_rewrite(5455),rewrite([8871(7)])]. 13307 R(a(x,y,z),u,w) = a(x,y,L(z,u,w)). [back_rewrite(5212),rewrite([8871(4)])]. 13312 a(x,y,L(z,u,u)) / u = (1 / u) * a(x,y,z). [back_rewrite(3433),rewrite([8871(2)])]. 13326 R(x,y,z \ L(z,u,w)) = L(x,y,a(w,u,z)). [back_rewrite(5205),rewrite([8881(6)])]. 13332 x \ (a(x,y,z) \ 1) = R(x,y,z) \ 1. [back_rewrite(7422),rewrite([9238(2)]),flip(a)]. 13333 x * (a(y,z,u) * (x \ 1)) = a(y,z,L(u,x,x)). [back_rewrite(8822),rewrite([8912(4),8911(4),9576(6)]),flip(a)]. 13350 L(x,a(y,z,u),a(y,z,a(u,w,v5))) = x. [back_rewrite(8545),rewrite([8982(3)])]. 13358 a(x,y,a(z,u,w)) * a(u,a(x,y,z),w) = a(u,w,a(x,y,z)). [back_rewrite(8461),rewrite([8982(2)])]. 13364 a(x,y,z) \ a(x,y,a(z,u,w)) = L(a(x,y,z) \ 1,u,w). [back_rewrite(8118),rewrite([8982(3)])]. 13366 (a(x,y,z) \ u) * (u \ a(x,y,z)) = a(x,y,a(z,u,a(x,y,z) * u)). [back_rewrite(8107),rewrite([8982(9)])]. 13369 (a(x,y,a(z,u,u)) / u) * a(x,y,z) = a(x,y,z) / u. [back_rewrite(7446),rewrite([8982(2)])]. 13375 a(x,y,a(z,u,w)) \ y = a(z,u,a(w,y,x)) * y. [back_rewrite(6820),rewrite([8982(5)])]. 13376 a((x \ (y \ x)) * y,z,u) = a(y,y,a(x,z,u)). [back_rewrite(6804),rewrite([8982(6)])]. 13383 ((x * x) \ y) * a(z,u,x) = (x * L(x,u,z)) \ y. [back_rewrite(6221),rewrite([9237(4),9018(9)])]. 13384 x * (y * (a(z,u,w) \ (y \ 1))) = a(z,u,L(w,y,y)) \ x. [back_rewrite(8127),rewrite([9576(4),13333(5),9035(7)]),flip(a)]. 13385 (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) \ x = L(x,y,z) * a(z,y,L(x,u,w)). [back_rewrite(6883),rewrite([9040(12),9237(10),8871(10)])]. 13386 x / L(y \ L(y,z,u),w,v5) = x * a(u,z,L(y,w,v5)). [back_rewrite(4183),rewrite([9040(8),9237(6),8871(6)])]. 13391 R(x,y \ L(y,z,u),w) = L(x,a(u,z,y),w). [back_rewrite(6243),rewrite([9151(6)])]. 13393 L(x,y,z \ a(z,u,w)) = L(x,y,L(z,u,w)). [back_rewrite(3898),rewrite([9238(5),2535(5)])]. 13396 x * (L(x,y,y) \ z) = a(y,y,x) * z. [back_rewrite(7673),rewrite([9230(4)]),flip(a)]. 13397 a(x,y,z \ (u * (w * (u \ z)))) = a(x,y,L(w,u * z,u)). [back_rewrite(7384),rewrite([9200(8)])]. 13398 a(x * y,z,a(y,x,z)) = 1. [back_rewrite(8688),rewrite([9225(5)])]. 13401 L(x,y * z,a(z,y,y)) = x. [back_rewrite(8272),rewrite([9229(5)])]. 13405 L(x * a(y,z,x),z,y) = x. [back_rewrite(6648),rewrite([9232(5)])]. 13408 (R(x,y,z) \ x) \ u = a(x,y,z) * u. [back_rewrite(9020),rewrite([9234(5)])]. 13410 a(x,y,L(z,x,y)) = a(x,y,z). [back_rewrite(8655),rewrite([9234(4)])]. 13417 a(x,y,L(z,x,u)) \ u = x * (R(x,y,z) \ u). [back_rewrite(7791),rewrite([9234(2),8871(2)])]. 13420 a(x,y,L(y \ z,x,z)) = a(x,y,y \ z). [back_rewrite(7675),rewrite([9234(3),8871(3)])]. 13423 a(x,y,z) / R(x,y,z) = 1 / x. [back_rewrite(7224),rewrite([9234(2)])]. 13424 a(x,y,z) \ (1 / x) = 1 / R(x,y,z). [back_rewrite(7040),rewrite([9234(2)])]. 13429 (1 / x) \ a(y,z,u) = (y / x) \ R(y,z,u). [back_rewrite(5473),rewrite([9234(2),8871(2),9435(3)])]. 13434 x * R(x \ 1,y,z) = a(x,y,z). [back_rewrite(5053),rewrite([9234(6)])]. 13435 x * (y * R(y \ (x \ 1),z,u)) = a(x * y,z,u). [back_rewrite(5045),rewrite([9234(10)])]. 13436 x \ (y * R(y \ x,z,u)) = a(x \ y,z,u). [back_rewrite(5044),rewrite([9234(4)]),flip(a)]. 13438 L(x,y,z) \ L(R(x,u,w),y,z) = a(x,u,L(w,y,z)). [back_rewrite(5041),rewrite([9234(6),8871(6)])]. 13442 x * R(x \ K(y,z),u,w) = a(x,u,w) * K(y,z). [back_rewrite(3886),rewrite([9234(2)]),flip(a)]. 13445 a(x,y,z) \ R(x,y,z) = x. [back_rewrite(3540),rewrite([9234(2),22(4)]),flip(a)]. 13446 R(x,y,z) / x = a(x,y,z). [back_rewrite(2544),rewrite([9234(4)])]. 13448 (x \ 1) \ a(x,y,z) = R(T(x,x \ 1),y,z). [back_rewrite(7360),rewrite([9235(2),32(4)]),flip(a)]. 13449 L(a(x,y,z) * u,z,a(z,y,x)) = z * (L(z,y,x) \ u). [back_rewrite(9184),rewrite([9236(6)])]. 13453 L(x,y,L(z,x,y)) = L(x,y,z). [back_rewrite(8895),rewrite([9236(4)])]. 13456 (a(x,y,z) / z) \ 1 = L(z,y,x). [back_rewrite(6590),rewrite([9236(6)])]. 13466 (x * y) * a(z,x,y) = x * (y * a(z,x,y)). [back_rewrite(9029),rewrite([9237(2)]),flip(a)]. 13475 a(x,y \ z,L(y,y,z)) = a(x,y \ z,y). [back_rewrite(8435),rewrite([9237(3),8871(3)])]. 13477 a(x,y,L(z,z,y)) = a(x,y,z). [back_rewrite(8307),rewrite([9237(4)])]. 13480 a(x,y,L(z,u * z,u * z)) = (u \ L(z,y,x)) \ (u \ z). [back_rewrite(8221),rewrite([9237(2),8871(4)])]. 13482 (x \ L(x,y,z)) \ u = u * a(z,y,x). [back_rewrite(8205),rewrite([9237(5)])]. 13488 (x * (a(y,z,u) * w)) / (x * w) = a(y,z,L(u,w,x)). [back_rewrite(7632),rewrite([9237(2),9237(7),8871(7)])]. 13493 x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)) = a(z,y,L(x,u,w)) \ a(z,y,x). [back_rewrite(7090),rewrite([9237(5),9431(5)]),flip(a)]. 13497 x * (a(y,z,L(x,u,w)) \ a(y,z,x)) = L(x,z,y) * a(y,z,L(x,u,w)). [back_rewrite(6461),rewrite([13493(6),9237(8),8871(8)])]. 13500 a(x * (y * (z * a(u,w,z))),v5,v6) = a(x * (y * L(z,w,u)),v5,v6). [back_rewrite(5107),rewrite([9237(2)])]. 13502 x * (L(x,y,z) \ 1) = a(z,y,x). [back_rewrite(4904),rewrite([9237(6)])]. 13508 x / L(x,y,z) = a(z,y,x). [back_rewrite(2436),rewrite([9237(4)])]. 13511 x * ((a(x,y,z) \ x) \ u) = R(x,y,z) * (x \ u). [back_rewrite(9078),rewrite([9238(2)]),flip(a)]. 13512 x \ ((a(x,y,z) \ x) * u) = x * (R(x,y,z) \ u). [back_rewrite(9059),rewrite([9238(6)])]. 13515 L(a(x,y,z) \ u,x,a(x,y,z)) = x * (R(x,y,z) \ u). [back_rewrite(4974),rewrite([9238(6),5135(7)])]. 13516 (1 / x) \ a(x,y,z) = R(x,y,z). [back_rewrite(3899),rewrite([9238(6)])]. 13517 ((x / y) * z) \ (x / y) = ((y * x) * z) \ (y * x). [back_rewrite(7613),rewrite([9244(8)])]. 13520 a(x,y,z \ (u * L(w,u,u))) = a(x,y,z \ ((u \ 1) \ w)). [back_rewrite(7159),rewrite([9261(8)])]. 13522 (x * y) \ (R(x,z,u) * y) = a(x,z,L(u,x,y)). [back_rewrite(7850),rewrite([9281(8)])]. 13525 (x * y) \ (x * R(y,z,u)) = a(y,z,L(u,y,x)). [back_rewrite(6408),rewrite([9281(8)])]. 13526 ((x * y) / (z * y)) \ (x / z) = a(z * x,z,y) \ 1. [back_rewrite(9033),rewrite([9285(7)])]. 13527 a(x,y,z) \ L(z,u,x) = L(L(z,y,x),u,x). [back_rewrite(9158),rewrite([9315(4)])]. 13532 a(x * (y * (z * L(z,u,w))),v5,v6) = a(x * (y * a(w,u,z)),v5,v6). [back_rewrite(7144),rewrite([9315(3),9134(4)]),flip(a)]. 13534 a(x,y,z) \ ((z * L(z,y,x)) \ u) = (z * z) \ u. [back_rewrite(6325),rewrite([9315(6)])]. 13541 a(x,y,z) \ ((u * u) * w) = (u * u) * (a(x,y,z) \ w). [back_rewrite(7862),rewrite([9373(5),9373(8)])]. 13545 a(((x * L(x,y,z)) * u) * w,v5,v6) = a((a(z,y,x) \ u) * w,v5,v6). [back_rewrite(6115),rewrite([9373(3)]),flip(a)]. 13546 a((x * L(x,y,z)) * u,w,v5) = a(a(z,y,x) * u,w,v5). [back_rewrite(4545),rewrite([9373(3),8172(3)]),flip(a)]. 13550 (L(x,y,z) \ u) \ (x \ u) = L(a(z,y,x) \ 1,x,u). [back_rewrite(6676),rewrite([9383(8)])]. 13556 a(x,y,(y \ z) \ 1) = a(x,y,z \ y). [back_rewrite(9166),rewrite([9389(4)])]. 13557 a(x,y,(z \ y) \ 1) = a(x,y,y \ z). [back_rewrite(8438),rewrite([9389(4)])]. 13558 (x * L(x \ y,z,u)) \ y = a(u,z,(y \ x) \ 1). [back_rewrite(6892),rewrite([9389(8)])]. 13563 x * (y * L(y \ 1,z,u)) = a(u,z,y \ 1) \ x. [back_rewrite(6346),rewrite([9427(5)]),flip(a)]. 13567 a(x,y,L(z,z,u)) * (z \ u) = L(z,y,x) \ u. [back_rewrite(7432),rewrite([9439(4)])]. 13569 (x \ y) * a(z,u,L(x,x,y)) = L(x,u,z) \ y. [back_rewrite(6758),rewrite([9439(5)])]. 13570 (x \ y) \ (L(x,z,u) \ y) = a(u,z,L(x,x,y)). [back_rewrite(6634),rewrite([9439(8)])]. 13571 (L(x,y,z) * u) \ (x * u) = a(z,y,L(x,x,u)). [back_rewrite(6425),rewrite([9439(8)])]. 13572 (x * L(y,z,u)) \ (x * y) = a(u,z,L(y,y,x)). [back_rewrite(6424),rewrite([9439(8)])]. 13573 (x * (L(x,y,z) \ u)) / u = a(z,y,L(x,x,u)). [back_rewrite(1006),rewrite([9439(8)])]. 13578 x * (R(y,z,u) \ y) = a(y,z,u) \ x. [back_rewrite(6843),rewrite([9469(3)]),flip(a)]. 13589 (a(x,y,z) * u) \ K(w,v5) = a(x,y,z) \ (u \ K(w,v5)). [back_rewrite(5267),rewrite([9576(6),492(5)])]. 13592 K(x,T((y \ z) \ u,w)) = K(x,T((z \ y) * u,w)). [back_rewrite(2625),rewrite([9608(8)])]. 13596 (1 / ((x * y) \ x)) / y = a(x,y,y \ 1). [back_rewrite(4515),rewrite([9715(10)])]. 13597 a(x,y,a(z,u,w)) \ v5 = a(x,y,a(w,u,z)) * v5. [back_rewrite(8204),rewrite([13134(3),9752(6)])]. 13598 a(x \ L(x,y,z),u,w) = a(w,u,a(x,y,z)). [back_rewrite(4549),rewrite([9752(6)])]. 13600 T(x,T((y \ z) \ u,w)) = T(x,T((z \ y) * u,w)). [back_rewrite(2614),rewrite([9814(8)])]. 13607 T(x,y * (z * (1 / u))) = T(x,y * (z / u)). [back_rewrite(4296),rewrite([10123(10)])]. 13609 R(x,y,z) \ T(x,u) = a(x,y,z) \ K(x,u). [back_rewrite(4160),rewrite([10214(4)]),flip(a)]. 13614 T(x,(y \ ((z \ 1) \ u)) * K(w,v5)) = T(x,K(w,v5) * ((y \ z) * u)). [back_rewrite(1281),rewrite([10258(12),1104(9),10121(12),12625(12),5216(12)])]. 13616 x / (y * ((z * y) \ z)) = a(z,y,y \ 1) * x. [back_rewrite(2964),rewrite([10338(8)])]. 13621 ((x * y) \ z) * K(x,y) = T((y * x) \ z,K(x,y)). [back_rewrite(2475),rewrite([10415(8),749(8)])]. 13622 T(x,y / (z * z)) = T(x,z \ (z \ y)). [back_rewrite(2846),rewrite([10438(5)])]. 13629 a(x,x,x \ (y * z)) = a(x,x,y * (x \ z)). [back_rewrite(5228),rewrite([10705(6)])]. 13630 K(x,y) / T(z,K(u,w)) = T(K(x,y) / z,K(u,w)). [back_rewrite(2650),rewrite([10787(5)])]. 13637 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = ((y \ x) \ z) * (y \ x). [back_rewrite(3831),rewrite([11082(13)])]. 13645 T(x,T(y * z,u * y) \ w) = T(x,T(z * y,u) \ w). [back_rewrite(2110),rewrite([11300(5)])]. 13647 T(x,K(y,z) * (T(y,u) \ w)) = T(x,T(y,u * z) \ w). [back_rewrite(428),rewrite([11300(9)])]. 13649 K(x,y * (T(z \ 1,u) \ w)) = K(x,y * (T(z,u) * w)). [back_rewrite(3837),rewrite([11453(6),373(3)]),flip(a)]. 13650 K(x,y * ((z \ u) * z)) = K(x,y * T(u,z)). [back_rewrite(2285),rewrite([11453(4)])]. 13653 K(x,T(y / (z \ u),w)) = K(x,T(y * (u \ z),w)). [back_rewrite(2610),rewrite([11714(8)])]. 13657 T(x,y * ((z \ T(u,z)) * w)) = T(x,y * ((z / u) \ w)). [back_rewrite(4065),rewrite([11897(5)])]. 13659 T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). [back_rewrite(2294),rewrite([11897(4)])]. 13662 T(x,(y \ z) * (y * u)) = T(x,T(z,y) * u). [back_rewrite(2248),rewrite([12016(4)])]. 13663 L(x,L(y,z,z) * z,u) = L(x,(z \ 1) \ y,u). [back_rewrite(5713),rewrite([12096(6)])]. 13680 L(x,a(y,z,a(u,u,w)),z) = x. [back_rewrite(12500),rewrite([12502(6)])]. 13694 K(x * (y \ z),T(u,z)) = K((z * x) / y,u). [back_rewrite(951),rewrite([12750(4)])]. 13699 T(x,T(y \ z,y) * u) = T(x,z * (y \ u)). [back_rewrite(12890),rewrite([13662(5)])]. 13713 L(x,a(y,y,z),z * y) = x. [back_rewrite(7091),rewrite([13138(6)])]. 13714 T(x / y,z) \ T((x * u) / (y * u),z) = a(y * x,y,u). [back_rewrite(7736),rewrite([13140(11)])]. 13718 (a(x,y,L(z,u,w)) \ v5) * a(x,y,z) = v5 * a(x,y,a(z,u,w)). [back_rewrite(13096),rewrite([13284(9)])]. 13719 (x * (y * z)) \ (x * (y * L(z,y,a(x,u,w)))) = a(x,y,a(z,u,w)). [back_rewrite(13095),rewrite([13284(11)])]. 13726 a(x,y,L(z,u,u)) \ a(x,y,z) = a(x,y,a(z,u,a(x,y,z) * u)). [back_rewrite(13091),rewrite([13384(7)])]. 13733 ((x / y) / z) \ x = z * (y * a(z * (y \ x),z,y)). [back_rewrite(13147),rewrite([13466(8)])]. 13738 (a(x,y,L(z,u,w)) \ a(x,y,z)) \ z = L(z,y,x) * a(x,y,L(z,u,w)). [back_rewrite(13385),rewrite([13493(6)])]. 13751 a(x,y,a(z,u,w)) * u = a(w,u,a(z,y,x)) * u. [back_rewrite(13375),rewrite([13597(3)]),flip(a)]. 13764 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(25(a,1),22(a,1,2))]. 13766 x \ (((x / (y * z)) * y) * z) = a((y * z) \ x,y,z). [para(24(a,1),25(a,1,1)),rewrite([850(8)])]. 13767 ((x / y) * (y * z)) \ (x * z) = a(y * x,y,z). [para(24(a,1),25(a,1,2,1)),rewrite([850(7),8301(7)])]. 13770 (x * (y / x)) \ y = K(x \ y,x). [para(24(a,1),26(a,1,2)),rewrite([864(5)])]. 13771 x \ ((x / y) * (y * z)) = L(z,y,x * y). [para(24(a,1),27(a,1,1)),rewrite([919(6),8303(6)])]. 13774 x \ ((y * y) * (z * x)) = T((y * y) * z,x). [para(14(a,1),29(a,1,2))]. 13779 x / (y * (x / y)) = K(y \ x,y). [para(24(a,1),52(a,1,1)),rewrite([864(5)])]. 13783 R(x,y,z) / R(T(x,u),y,z) = K(u,x). [para(32(a,1),56(a,1,2)),rewrite([12609(6)])]. 13891 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(152,a,153,a,b,47,a),rewrite([6238(3),2305(3),861(6)]),flip(a)]. 13896 (x * y) \ (x * ((z * y) / z)) = K(z,y). [para(153(a,2),27(a,1,2,2)),rewrite([12608(7)])]. 13898 x * K(y,K(z,x)) = T(x,K(y,z)). [para(44(a,1),153(a,2,2)),rewrite([1105(4),682(4),3096(4)]),flip(a)]. 13900 T((T(x,y) * z) / ((T(x,y) * z) / x),y) = T(x * K(z,x),y). [para(153(a,1),60(a,1,2)),rewrite([853(4),3368(6),23(3),10776(4)]),flip(a)]. 13912 ((x * y) / x) / y = K(x,y). [para(153(a,2),153(a,1,1)),rewrite([45(6),380(5),376(6),20(6)])]. 13921 x * K(y,K(x,z)) = T(x,K(y,z)). [hyper(152,a,158,a,b,155,a(flip)),rewrite([158(3),45(4)]),flip(a)]. 13944 T(K(x,y) * T(y,z),T(x,z)) = T(y,z). [hyper(123,a,22,a,b,163,a(flip)),rewrite([1104(5),2952(5)])]. 13999 (x / (x / y)) / y = K(y \ x,y). [para(166(a,2),153(a,1,1)),rewrite([46(8),493(8),20(7)])]. 14019 T(x,(y * z) / y) = T(x,T(z,y)). [para(153(a,2),168(a,2,2)),rewrite([861(2),192(3)]),flip(a)]. 14024 (x * (x * T(x \ (x \ y),z))) * u = (x * x) * (T((x * x) \ y,z) * u). [para(171(a,2),14(a,1,1)),rewrite([171(5),261(5)])]. 14030 ((x * T(x \ y,z)) * u) / (x * u) = R(T(y / x,z),x,u). [para(171(a,1),28(a,1,1,1))]. 14052 K(x,T(y / (y / z),u)) = K(x,T(z,u * y)). [para(60(a,2),177(a,2,2)),rewrite([5340(5),478(5),177(4),5795(3),60(6)]),flip(a)]. 14059 T(x,T(y,z)) * K(z,x) = T((z * x) / z,y). [para(177(a,1),174(a,1,1)),rewrite([4073(5)])]. 14074 T(x,T(y,z)) / T(y,z) = x / T(T(y,x),z). [para(30(a,1),180(a,2,2))]. 14114 K(x / y,T(z,u * y)) = K(y \ x,T(z,u)). [para(30(a,1),183(a,1,2)),rewrite([5795(4)])]. 14127 K(x * y,T(z,u * y)) = K(y * x,T(z,u)). [para(30(a,1),187(a,1,2)),rewrite([5795(4)])]. 14129 x * (y * K(y * x,z)) = T(x * y,T(z,y)). [para(187(a,1),155(a,1,2)),rewrite([682(4)])]. 14139 T(T(T(x,y),z),T(u,x)) = T(T(T(x,u),y),z). [para(188(a,1),30(a,1,1)),flip(a)]. 14140 T(T(x,y),T(z,u * x)) = T(T(x,T(z,u)),y). [para(30(a,1),188(a,1,2)),rewrite([5904(4)])]. 14152 T(T(x,K(y,z) * u),w) = T(T(x,u * K(y,z)),w). [para(168(a,1),188(a,2,1)),rewrite([188(5)])]. 14153 T(T(x * K(y,z),u),T(w,x)) = T(T(x * K(y,z),w),u). [para(168(a,2),188(a,1,2)),rewrite([4831(7)])]. 14166 T(x,T(y * K(z,y),u)) = T(x,T(y,u * z)). [para(30(a,1),192(a,2,2)),rewrite([10776(4),5904(7)])]. 14167 T(x,T(y * (z / y),u)) = T(x,T(z,y * u)). [para(60(a,2),192(a,2,2)),rewrite([5340(5),478(5),9660(6),1912(5),12193(4),174(2),5904(3),60(6),12367(7)]),flip(a)]. 14171 T(x,T(y,z * y)) = T(x,T(y,z)). [para(166(a,2),192(a,1,2)),rewrite([5336(3),521(3),1779(5),976(4,R)]),flip(a)]. 14181 T(T(T(x * K(y,x),z),u),y) = T(T(x,z),u). [hyper(152,a,195,a,b,188,a),rewrite([10776(4),14153(5)])]. 14188 T(x * K(y,x),z) \ T(x,z) = K(x,T(y,z)). [para(195(a,1),54(a,1,2)),rewrite([853(9),179(9),615(7)])]. 14189 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [para(195(a,1),56(a,1,2)),rewrite([6149(9)])]. 14195 T(T(x / (x / y),z),y \ x) = T(y,z). [para(166(a,2),195(a,1,1,1))]. 14248 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(200(a,2),166(a,2,2,1)),rewrite([2430(7),864(6)])]. 14253 T(x,y) * T(T(x,y) \ y,z) = T(x,y) * T(x \ T(y,x),z). [para(200(a,1),171(a,2,2,1)),rewrite([171(5)])]. 14272 T(T(x,y),y) \ y = T(x,y) \ T(y,x). [para(202(a,1),200(a,2,2))]. 14273 (x * x) * (y * K(z,x * (x * (z \ y)))) = z * ((x * x) * (y / z)). [hyper(152,a,14,a(flip),b,203,a),rewrite([5326(5),12849(5),7351(5),5724(10)])]. 14277 (x * y) \ (x * (z * (y / z))) = K(z,z \ y). [para(203(a,1),27(a,1,2,2)),rewrite([12608(8)])]. 14288 (x / y) * K(y,y \ x) = (y * (x / y)) / y. [para(203(a,2),153(a,1,1)),rewrite([203(3),244(6)]),flip(a)]. 14300 x * (K(y,z) / z) = x * (1 / T(z,y)). [hyper(147,a,204,a)]. 14301 (K(x,y) / y) * z = (1 / T(y,x)) * z. [hyper(146,a,204,a)]. 14303 K(x,y) / R(y,z,u) = 1 / R(T(y,x),z,u). [para(32(a,1),204(a,2,2)),rewrite([12609(2)])]. 14305 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [para(44(a,2),204(a,1,1)),rewrite([44(2),1105(4),866(7),1105(8),853(7),19(8)])]. 14334 T(x,y) * (K(y,x) / x) = K(x,x \ 1). [para(204(a,2),203(a,2,2)),rewrite([3379(6),853(6),5795(6),407(6),203(5),859(3)]),flip(a)]. 14342 K(x,T(K(y,K(z,u)) * w,v5)) = K(x,T(w,v5)). [para(166(a,2),208(a,2,2)),rewrite([10067(7),1652(5),1787(6),10192(6),5340(8),478(8)])]. 14371 x \ (y * ((y * x) / y)) = T(T(y,x),x). [para(209(a,1),29(a,1,2))]. 14386 (x * ((x * y) / x)) / T(x,y) = y * K(x,y). [para(209(a,1),153(a,1,1)),rewrite([853(7),379(6)])]. 14387 ((x * y) / x) * K(x,y) = (T(x,y) * y) / x. [para(209(a,2),153(a,1,1)),rewrite([244(8),21(7)]),flip(a)]. 14392 T(T(x,y),z) * T(y,x) = T(x,z) * T(y,K(x,z)). [para(188(a,1),209(a,1,1)),rewrite([3618(8),762(10),3157(9),3096(9)])]. 14404 L(x / y,z,u) \ (y * L(y \ x,z,u)) = y. [hyper(123,a,22,a,b,213,a)]. 14423 L(K(x,y) / y,z,u) * T(y,x) = y * L(y \ 1,z,u). [para(204(a,2),213(a,1,1,1)),rewrite([2197(11)])]. 14425 T(x,x \ y) * L(x \ y,z,u) = x * L(y / x,z,u). [para(213(a,2),209(a,2,2,1)),rewrite([298(3),213(8),5612(9),22(7)])]. 14443 x * (K(y,x) * K(y,x)) = (T(y,x) * x) / y. [para(216(a,1),153(a,1,1)),rewrite([1219(8),682(7)]),flip(a)]. 14446 ((x * y) / x) * (z * K(y,T(z,x))) = T((x * y) / x,z) * z. [para(177(a,1),216(a,1,2,2))]. 14483 ((x * x) \ y) * ((x * x) / y) = K(y,x * (y \ x)). [hyper(123,a,203,a,b,4594,a),rewrite([5326(3),12849(3)]),flip(a)]. 14558 (x * ((x \ (y / z)) * z)) \ y = a(x,x \ (z \ y),z). [para(24(a,1),5970(a,1,2)),rewrite([10179(8)])]. 14580 T(x,y * K(z * u,u)) = T(x,K(z,u) * y). [para(1459(a,2),168(a,1,2,1)),rewrite([1459(3),1612(4),980(2,R),10305(4),1523(7),980(5,R)]),flip(a)]. 14581 T(x,y * K(z * u,z)) = T(x,y * K(z,u)). [para(1459(a,2),168(a,2,2,2)),rewrite([1612(4),10307(4),1459(6),1523(7)]),flip(a)]. 14596 T(x,K(y,z * x)) = T(x,K(y,z)). [para(1460(a,2),158(a,1,1,2)),rewrite([1460(3),5902(3),991(2),1940(3),158(3),1742(5)]),flip(a)]. 14620 (1 / x) * (x * y) = L(y,x,x). [hyper(123,a,4594,a,b,3514,a),rewrite([3262(2)])]. 14631 T(x,y) * (K(x * y,x) * z) = R(x,y,x) * z. [para(198(a,1),3514(a,1,1)),rewrite([927(5),302(4)]),flip(a)]. 14632 K(x,y * (z * (K(u,K(w,v5)) * v6))) = K(x,y * (z * v6)). [para(3514(a,1),208(a,2,2)),rewrite([676(5),3514(6)])]. 14641 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y). [para(29(a,1),5967(a,1,2,2,1)),rewrite([29(7),883(7)])]. 14651 T(x,y) \ (y * ((T(y,x) \ x) * z)) = L(z,y \ x,y). [para(200(a,2),5967(a,1,2,2,1)),rewrite([6503(9)])]. 14672 (x * y) \ ((z * x) / z) = (T(x,z) * y) \ x. [para(153(a,2),3515(a,2,2)),rewrite([7710(3)]),flip(a)]. 14673 T(T(x,y),T(z,y)) \ (K(x,z) * u) = T(x,y) \ u. [para(163(a,2),3515(a,2,1)),rewrite([301(5)]),flip(a)]. 14691 (x * L(x \ y,z,u)) \ (L(y / x,z,u) * w) = L(x \ w,x,L(x \ y,z,u)). [para(213(a,1),3515(a,2,1)),rewrite([7684(4)]),flip(a)]. 14699 (x * ((y \ z) * y)) \ (x * z) = K(y,y \ z). [para(1460(a,1),3515(a,1,1)),rewrite([876(5),12608(3)]),flip(a)]. 14704 (x * x) * (y / (x * y)) = R(x,x,y). [para(626(a,2),28(a,1,1,1)),rewrite([626(2),5724(4)])]. 14738 R(x,x \ 1,y) = T(y,z) / ((x \ K(y,z)) * y). [para(163(a,2),5966(a,2,1)),rewrite([1860(4),1838(3),11473(11),5904(6),408(6)])]. 14782 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(152,a,375,a(flip),b,5964,a)]. 14795 ((x * L(x \ y,z,u)) * (x \ w)) / w = L(R(y / x,x,x \ w),z,u). [para(213(a,1),5964(a,1,1,1)),rewrite([34(10)])]. 14805 (R(x,y,z) * ((y * z) * u)) \ (((x * y) * z) * u) = a(x,y * z,L(u,y,z)). [para(3516(a,1),25(a,1,2,1)),rewrite([13265(11)])]. 14815 R(x,y,z) * (y * (z * K(x,y * z))) = (T(x,y * z) * y) * z. [para(3516(a,1),209(a,2,2,1)),rewrite([32(3),3516(5),12610(9)]),flip(a)]. 14822 ((x * y) * z) * L(u,y * z,L(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(3516(a,1),3514(a,1,1)),rewrite([2535(5)])]. 14852 R(T(x / y,z) / u,u,y) = (y * T(y \ x,z)) / (u * y). [para(171(a,1),3517(a,2,1))]. 14857 K(((x * y) \ z) * y,u) = K(x \ z,T(u,y)). [para(3517(a,2),183(a,1,1)),rewrite([12612(5),10197(4),5297(7)]),flip(a)]. 14868 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(3517(a,2),213(a,1,1,1)),rewrite([5800(5),213(3)]),flip(a)]. 14869 R(L(x / y,z,u) / w,w,y) = (y * L(y \ x,z,u)) / (w * y). [para(213(a,1),3517(a,2,1))]. 14870 R(x / L(y / z,u,w),L(z \ y,u,w),z) = (x * z) / (z * L(z \ y,u,w)). [para(213(a,1),3517(a,2,2)),rewrite([1837(6)])]. 14874 (x * y) / (y * y) = R(x / y,y,y). [para(626(a,2),3517(a,2,2)),rewrite([626(5)]),flip(a)]. 14885 (x * x) * (y * T(z,x * (x * y))) = z * ((x * x) * y). [hyper(152,a,14,a(flip),b,502,a),rewrite([5292(4)])]. 14887 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(152,a,502,a,b,198,a),rewrite([749(6),2315(6),5676(5),1108(5)])]. 14896 (x * y) \ ((y * z) * (z \ T(x,y))) = a(y,z,z \ x). [para(502(a,1),5971(a,1,1)),rewrite([777(9)])]. 14921 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(741(a,1),179(a,2,2)),rewrite([179(4),1787(3),976(2),1941(3)]),flip(a)]. 14925 T(T(x \ y,z),(y \ x) * y) = T(T(x \ y,x),z). [para(741(a,1),188(a,1,2)),rewrite([12923(5)])]. 14926 T(x,(y \ z) * y) = T(x,T(z,y)). [para(741(a,1),192(a,2,2)),rewrite([192(4),1779(3),1953(3),12923(5)]),flip(a)]. 14934 (x * y) / (T(z,z \ x) * y) = R(z \ x,z,y). [para(741(a,2),5966(a,2,2,1)),rewrite([1849(4)]),flip(a)]. 14936 T(T(x \ y,z),T(x,y)) = T(T(x \ y,x),z). [back_rewrite(14925),rewrite([14926(5)])]. 14944 K(x / y,z) * (y \ x) = T(y \ x,T(z,y)). [para(503(a,1),163(a,1,1)),rewrite([503(7)]),flip(a)]. 14946 T(x * K(x \ y,x),y / x) = x. [para(166(a,1),503(a,1,1)),rewrite([492(7)])]. 14947 K(x * y,y \ z) = K(y * x,z / y). [para(503(a,1),187(a,1,2))]. 14952 T(x / (x / y),y * y) = L(x / (x / y),y,y). [para(627(a,1),60(a,1,2,2)),rewrite([62(3)]),flip(a)]. 15001 T(T(x,y * K(z,u)),w) = T(T(x,y),w * K(z,u)). [para(158(a,2),4595(a,2,1,1)),rewrite([5676(4),45(6),174(7),5781(7)]),flip(a)]. 15018 K(x / y,T(z,u * (w * y))) = K(y \ x,T(z,u * w)). [para(4595(a,1),183(a,1,2)),rewrite([5795(5),5795(5),5292(4),5795(9)])]. 15020 K(x * y,T(z,u * (w * y))) = K(y * x,T(z,u * w)). [para(4595(a,1),187(a,1,2)),rewrite([5795(5),5795(5),5292(4),5795(9)])]. 15051 T(T(x,K(y,z) * u),w) = T(T(x,u),w * K(y,z)). [back_rewrite(14152),rewrite([15001(8)])]. 15109 K(x,x \ 1) * (y \ ((y * (x \ 1)) * x)) = a(y,x \ 1,x). [para(742(a,1),25(a,1,1,2)),rewrite([774(9)])]. 15123 (x * ((x \ (y \ 1)) * y)) \ K(y \ 1,y) = a(x,x \ (y \ 1),y). [para(742(a,1),5970(a,1,2))]. 15227 L(T(x,y),a(z,u,w),x) = T(x,y). [hyper(152,a,460,a,b,219,a),rewrite([219(4),219(6),927(4)])]. 15253 L(L(x,y,z),a(u,w,v5),x) = L(x,y,z). [para(460(a,1),35(a,1,1)),flip(a)]. 15294 (x * y) * (K(z,u) * K(w,v5)) = x * (y * (K(w,v5) * K(z,u))). [hyper(152,a,3516,a,b,12619,a),rewrite([1841(4),12605(2)]),flip(a)]. 15337 K(x / T(T(y,z),u),T(w,y)) = K(T(T(y,u),z) \ x,w). [para(4596(a,1),183(a,2,1)),rewrite([5904(6),396(7)])]. 15404 ((x * y) / x) * T(z,T(y,x)) = z * (y * K(x,y)). [hyper(152,a,502,a,b,4207,a),rewrite([14019(5)])]. 15451 T(x,T(y,z) * K(u,w)) = T(x,T(K(u,w) * y,z)). [para(4207(a,2),168(a,1,2)),rewrite([1918(5),12193(4),682(8),1925(9)]),flip(a)]. 15456 K(x * (y * (x \ z)),u) = K(T(y,x) * z,u). [para(4207(a,1),187(a,1,1)),rewrite([14019(6),396(6),10069(5),392(4),5206(7),6357(7)]),flip(a)]. 15505 T(x \ y,z) \ T(y / x,z) = K(x,T(x \ y,z)). [para(171(a,2),748(a,1,2,1)),rewrite([171(5),229(6),22(4)])]. 15538 K(x,y) * (z * T(y,x)) = T(z * y,K(y,x)). [para(1471(a,1),741(a,1,2)),rewrite([1471(7),1104(7)]),flip(a)]. 15540 (x * (y / z)) \ (x * (z \ y)) = K(z \ y,z). [para(503(a,1),1471(a,1,2,2)),rewrite([864(7)])]. 15562 T(x,y) / T(x * K(z,x),y) = K(x,T(z,y)). [para(195(a,1),510(a,1,1)),rewrite([853(9),179(9),615(7)])]. 15567 T(T(x * K(y,x),z),y * K(u,w)) = T(x,K(w,u) * z). [hyper(152,a,195,a,b,455,a),rewrite([15051(6)])]. 15598 T(x,K(y,y * z) * u) = T(x,u * K(y,z)). [para(1459(a,2),455(a,2,2,1)),rewrite([11055(4),991(2),1459(7),1612(8),10307(8)])]. 15603 T(x / T(y,K(z,u)),y) = T(y,K(z,u)) \ x. [hyper(152,a,503,a(flip),b,365,a),flip(a)]. 15784 T(x,y * K(z,z * u)) = T(x,y * K(z,u)). [para(1460(a,2),341(a,2,2,2)),rewrite([1612(4),10307(4),1460(6),12221(7),991(5)]),flip(a)]. 15804 T(x,y * (z * K(u,K(w,v5)))) = T(x,y * z). [para(3516(a,2),335(a,1,2)),rewrite([12605(3)])]. 15827 K(x * K(y,z),u) * K(w,v5) = K(w,v5) * K(K(y,z) * x,u). [para(363(a,1),47(a,1,1))]. 15837 T(x,y * K(z * K(u,w),v5)) = T(x,K(z,v5) * y). [para(363(a,1),168(a,2,2,2)),rewrite([592(5)]),flip(a)]. 15845 T(x,K(y,z * K(u,w)) * v5) = T(x,K(z,y) * v5). [para(363(a,2),455(a,1,2,1)),rewrite([592(5)]),flip(a)]. 15846 T(x,K(y * K(z,u),w) * v5) = T(x,v5 * K(w,y)). [para(363(a,1),341(a,1,2,1)),rewrite([589(10)])]. 15851 K(x * K(y * K(z,u),w),v5) = K(x * K(w,y),v5). [para(363(a,1),363(a,2,1,2)),rewrite([591(5)]),flip(a)]. 15913 T(T(x,y),z) * T(y,T(x,z)) = T(x,z) * y. [hyper(152,a,502,a,b,1575,a),rewrite([5904(5),2542(5)])]. 15932 (T(x,y) * z) \ (z * (T(T(x,z),y) * u)) = L(u,x,z). [para(1575(a,1),27(a,1,1)),rewrite([883(10),883(9)])]. 15937 x * L(T(T(y,x),z),u,w) = L(T(y,z),u,w) * x. [para(31(a,1),1575(a,1,2,1)),rewrite([31(3),31(6)])]. 15945 K(x,y) * T(z,u * K(x,y)) = T(z,u) * K(x,y). [para(158(a,2),1575(a,1,2,1)),rewrite([46(3),161(4),5781(4)])]. 15948 x * (K(y,z) * T(y,x)) = T(y,T(z,x)) * x. [para(163(a,1),1575(a,1,2))]. 15953 K(x,y * T(z * K(u,K(w,v5)),v6)) = K(x,y * T(z,v6)). [para(1575(a,1),208(a,1,2,2)),rewrite([1652(4),368(9)])]. 15978 K(x,K(y,z)) * T(u,w) = T(u * K(x,K(y,z)),w). [para(368(a,1),1575(a,1,2,1)),rewrite([1652(8)])]. 16000 T(x / y,y * K(z,u)) = T(y \ x,K(z,u)). [hyper(152,a,1576,a,b,749,a),rewrite([5781(4),749(7)])]. 16005 T(x / y,z) \ T(y \ x,z) = K(y \ x,T(y,z)). [para(1576(a,1),54(a,1,2)),rewrite([853(8),3353(8)])]. 16022 T(x,T(y / x,z)) = T(x,T(x \ y,z)). [para(1576(a,1),202(a,1,2)),flip(a)]. 16051 L(T(x * K(y,x),z),u,w) * y = y * L(T(x,z),u,w). [para(31(a,1),4210(a,2,2)),rewrite([305(3),677(3),31(4)])]. 16052 T(x,y * K(z,u)) * K(z,u) = K(z,u) * T(x,y). [para(44(a,1),4210(a,1,1,1,2)),rewrite([46(2),45(2),155(3),5781(3)])]. 16088 K(x \ y,T(z,x * u)) = K(y / x,T(z,u)). [hyper(152,a,1577,a,b,179,a(flip)),rewrite([5795(4),179(9)])]. 16096 K(T(x,y) \ z,T(u,x)) = K(z / T(x,y),u). [para(192(a,1),1577(a,1,2)),rewrite([774(3),396(6),452(5),3835(7),5206(8),1687(8)])]. 16107 K(x \ y,T(z,u * (w * x))) = K(y / x,T(z,u * w)). [para(4595(a,1),1577(a,1,2)),rewrite([5795(5),5795(5),5292(4),5795(9)])]. 16108 K(x \ y,T(z,u * (x * w))) = K(y / x,T(z,w * u)). [para(4595(a,2),1577(a,1,2)),rewrite([5795(5),5795(5),5292(4),5795(9)])]. 16109 K(T(T(x,y),z) \ u,T(w,x)) = K(u / T(T(x,z),y),w). [para(4596(a,1),1577(a,1,1)),rewrite([5904(6),396(7)])]. 16118 K(x,T(y \ z,u * (w * y))) = K(x,T(z / y,u * w)). [hyper(152,a,179,a(flip),b,12984,a),rewrite([5795(5),179(10),5795(9)])]. 16119 K(x,T(y * (z \ u),u)) = K(x,u * (y / z)). [para(22(a,1),12984(a,1,2,2)),rewrite([13592(4),5355(4),13653(7)]),flip(a)]. 16141 K(x,T((y * z) / (y * u),w)) = K(x,T(z / u,w * y)). [para(3515(a,2),12984(a,1,2,1)),rewrite([31(5),305(6),16118(5)]),flip(a)]. 16147 K(x,T(T(T(y,z),u) \ w,v5 * y)) = K(x,T(w / T(T(y,u),z),v5)). [para(4596(a,1),12984(a,1,2,1)),rewrite([602(8),602(7)])]. 16156 K(x,T(T(y,z) \ u,w * y)) = K(x,T(u / T(y,z),w)). [para(4210(a,2),12984(a,1,2,2)),rewrite([4210(6),602(6)])]. 16167 T(T(x,y),z * K(x,u)) = T(T(x,y),z). [hyper(152,a,494,a,b,188,a),rewrite([188(3),188(5),853(5),853(5),5795(5),330(6),5676(4)])]. 16189 T(x / (x / y),K(y,z)) = x / (x / y). [para(494(a,1),60(a,1,2,2)),flip(a)]. 16222 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(1578(a,1),203(a,2,2)),rewrite([6265(7),45(6),187(5),46(5),1705(5),682(5),13898(4),682(7)])]. 16241 T(T(x,y),z) * T(y,x) = x * (y * K(x,z)). [back_rewrite(14392),rewrite([16222(8)])]. 16294 T(x,y * T(K(z,y) * K(u,y),u)) = T(x,T((u * y) / u,z)). [para(4148(a,2),192(a,2,2)),rewrite([1579(5),682(5),12013(4)])]. 16337 K(x,T(y,z * y)) = K(x,T(y,z)). [para(166(a,2),1579(a,1,2)),rewrite([5340(3),478(3),1787(5)]),flip(a)]. 16338 T(x,T((y * z) / y,u)) = T(x,T(z,u * y)). [para(1579(a,1),192(a,1,2,2)),rewrite([682(5),12013(4),16294(6),14166(8)])]. 16544 (T(x,y) / y) * T(x / (x / y),x) = (y \ x) * y. [para(4704(a,2),203(a,2,2)),rewrite([2115(5),155(4),3353(4),2431(4),3353(3),1696(3),864(2),1582(3)]),flip(a)]. 16581 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(151,a,366,a),rewrite([679(8)])]. 16582 x / (y * K(z,K(u,w))) = (x / y) * K(z,K(u,w)). [hyper(149,a,366,a),rewrite([1863(4),44(3),46(3),45(3)]),flip(a)]. 16625 ((x * a(y,z,u)) * w) / (x * w) = a(y,z,L(u,x,w)). [para(41(a,1),4172(a,1,1,2)),rewrite([20(3),13307(2)]),flip(a)]. 16756 T(x / y,K(y,x)) = x / y. [hyper(152,a,203,a(flip),b,3356,a),rewrite([1590(4),153(4,R),22(2),2185(5),866(5),614(5),1742(5),991(4),2315(5)]),flip(a)]. 16762 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(56(a,1),3356(a,2,1)),rewrite([56(2),612(3),44(3),45(3),349(8),866(7),202(6)])]. 16771 K(x \ y,T(z,u * y)) = K(y / x,T(z,u)). [para(3356(a,1),187(a,2,1)),rewrite([3350(4),12663(6),853(6),396(6),5795(5),15018(5),853(8),396(8)])]. 16788 (x / y) * (K(y \ x,z) * u) = T(x / y,T(z,y)) * u. [para(3356(a,1),3514(a,1,1)),rewrite([919(7),302(7)]),flip(a)]. 16800 T(x / y,z) * (y \ x) = (y \ x) * T(x / y,z). [para(3356(a,1),4210(a,1,1,1)),rewrite([503(3),1095(3)])]. 16824 K(x \ y,z) * ((y / x) * u) = T(y / x,T(z,x)) * u. [para(3350(a,1),3514(a,1,1)),rewrite([301(7)]),flip(a)]. 16876 K(x,T((y \ z) * y,u)) = K(x,T(z,y * u)). [para(4706(a,1),179(a,2,2)),rewrite([179(5),1787(4),5795(4),5292(3),12639(4),13592(7)]),flip(a)]. 16883 T(T((x \ y) \ y,z),T(u,x)) = T(T(T(x,z),u),x \ y). [para(4706(a,1),188(a,1,1)),rewrite([349(6)])]. 16886 T(T(T(x,y),z),T(x,z) \ u) = T(T(T(x,z),y),x \ u). [para(188(a,1),4706(a,1,1)),rewrite([3176(8),16883(10)])]. 16888 T(x,T((y \ z) * y,u)) = T(x,T(z,u * (z \ y))). [para(4706(a,1),192(a,2,2)),rewrite([10776(5),14166(5),13600(8)]),flip(a)]. 16901 T((x \ y) \ y,x) = T(x,x \ y). [para(379(a,1),4706(a,1,1)),flip(a)]. 16958 K(x * y,z * x) = K(y * x,x * z). [hyper(152,a,187,a(flip),b,482,a)]. 16960 K(x,(y \ z) * y) = K(x,T(z,y)). [para(22(a,1),482(a,1,2,1)),rewrite([1787(3),1941(3)]),flip(a)]. 16981 K(x,T(T(y,z),u) * z) = K(x,z * T(y,u)). [para(1575(a,1),482(a,1,2,1)),rewrite([5904(5),396(6),395(4)]),flip(a)]. 17000 K(x / T(y,z),y) = K(y \ x,y). [para(495(a,1),183(a,1,2)),rewrite([2553(6)])]. 17001 K(T(x,y) * z,x) = K(z * x,x). [para(495(a,1),187(a,1,2)),rewrite([2787(3)]),flip(a)]. 17014 K(x * y,y * x) = 1. [hyper(152,a,482,a(flip),b,496,a)]. 17027 K(x,y) * (a(z,u,w) \ x) = T(a(z,u,w) \ x,y). [para(300(a,1),3350(a,2,2)),rewrite([5301(3),299(3),299(6)])]. 17170 T(x * (K(y,K(z,u)) * K(w,x)),w) = K(y,K(z,u)) * x. [hyper(152,a,241,a,b,366,a(flip)),rewrite([328(7),682(5)])]. 17216 T(T(x * K(y,z),u),x) = T(K(y,z) * x,u). [hyper(152,a,455,a,b,615,a),rewrite([12424(6)])]. 17298 L(L(L(R(x,y,x),z,u),w,v5),y,x) = L(L(x,z,u),w,v5). [para(2074(a,1),5962(a,2,1,1))]. 17314 x / (1 / x) = x * x. [hyper(128,a,492,a,b,3262,a)]. 17328 (x * y) / ((1 / x) * y) = x * x. [para(3262(a,1),5966(a,1,2)),rewrite([1848(4),626(4),3262(4)]),flip(a)]. 17329 R(x,x,x \ 1) = 1 / (1 / x). [para(3262(a,1),5965(a,1,3)),rewrite([1859(3),3262(5),859(6),1105(7),1473(7)])]. 17356 L(T(x,y),z,a(x,u,w)) = T(x,y). [hyper(507,a,615,a,b,5220,a),rewrite([615(2),851(4)]),flip(a)]. 17569 a(x,x,y) * (R(x,x,y) \ z) = x \ z. [hyper(152,a,3515,a(flip),b,8061,a),rewrite([9235(2),11047(4)])]. 17582 L(x,y \ z,a(y,y,z)) = x. [para(5971(a,2),9229(a,1,3)),rewrite([5644(6),6706(6),1504(5),9634(5)])]. 17583 (a(x,x,y) * y) * z = y * (z * a(x,x,y)). [para(9229(a,1),3514(a,1,2)),rewrite([6570(6)])]. 17587 L(x,x,a(y,z,L(z,u,w))) = x. [hyper(131,a,34,a,b,9231,a(flip)),rewrite([4179(3),8525(3),8871(2)])]. 17677 x * (y * a(x,y,z)) = R(x,y,z) * y. [para(9233(a,1),3514(a,1,2)),rewrite([9235(2),4971(5)]),flip(a)]. 17769 x * L(y * K(x,y),z,u) = T(x,y) * L(y,z,u). [para(298(a,1),216(a,2,1)),rewrite([305(3),677(3)])]. 17770 L(x,y,z) * T(T(u,x),w) = T(u,w) * L(x,y,z). [para(298(a,1),1575(a,1,2,1))]. 18051 (a(x,y,z) \ u) \ (u * (a(x,y,z) \ w)) = L(w,a(x,y,z),u). [para(4198(a,1),4172(a,1,1,2)),rewrite([20(2),13391(3),9373(5),9373(8),6111(8)]),flip(a)]. 18056 T(T(x / R(y,z,u),w),y) = T(R(y,z,u) \ x,w). [hyper(152,a,1576,a(flip),b,12603,a),flip(a)]. 18069 K(x,y * (z / (u * z))) = K(x,y / u). [para(3517(a,1),12609(a,1,2)),rewrite([12942(4)])]. 18096 (T(x,y) \ 1) * z = (x \ K(y,x)) * z. [hyper(146,a,231,a)]. 18098 R(T(x,y),z,u) \ 1 = R(x,z,u) \ K(y,x). [para(32(a,1),231(a,1,1)),rewrite([12609(7)])]. 18115 T(x,y) * T(x \ K(y,x),z) = K(x \ 1,T(z,y)). [para(231(a,1),171(a,2,2,1)),rewrite([171(6),1589(6),3438(4)]),flip(a)]. 18135 (x * T(y,z)) * (y \ K(z,y)) = R(x,y,y \ 1). [para(231(a,1),5964(a,1,1,2)),rewrite([375(7),6387(10),1857(9)])]. 18148 T(T(x,y),y) \ 1 = T(x,y) \ K(y,x). [para(614(a,1),231(a,2,2))]. 18155 T(T(x,y),x \ K(z,x)) = T((x \ 1) \ 1,y). [para(231(a,2),4706(a,2,1,1)),rewrite([6747(9)])]. 18185 K(x,y / (z * z)) = K(x,z \ (z \ y)). [para(503(a,1),407(a,1,2)),rewrite([1010(3)]),flip(a)]. 18387 L(x \ y,x,y) = (T(y,z) * x) \ (y * T(y,z)). [para(856(a,1),3515(a,2,2)),rewrite([927(3)])]. 18404 K(x / y,y / x) = K(y \ x,x \ y). [hyper(507,a,1577,a,b,859,a),rewrite([11714(6),488(6),2114(5),859(8),5325(8),2137(8)]),flip(a)]. 18426 L((1 / x) \ y,x \ 1,x) = (1 / (1 / x)) * y. [para(859(a,1),3515(a,2,1)),rewrite([881(6),1104(11),3485(11),4651(11)])]. 18456 K(x,T(y,z)) * ((z * y) / z) = y * T(K(x,y) * K(z,y),z). [hyper(152,a,4207,a,b,861,a),rewrite([1579(3),1579(10),682(10),12013(9)])]. 18457 K(x,T(y,z)) * (y * K(z,y)) = (z * y) / (z * K(y,x)). [hyper(152,a,4207,a(flip),b,861,a),rewrite([12942(3),478(3),12942(10),478(10),10784(10)])]. 18479 x * T(K(y,x) * K(z,x),z) = (z * x) / (z * K(x,y)). [para(1579(a,1),861(a,1,1)),rewrite([18457(5),1579(9),682(9),12013(8)]),flip(a)]. 18489 K(x,T(y,z)) * ((z * y) / z) = (z * y) / (z * K(y,x)). [back_rewrite(18456),rewrite([18479(10)])]. 18497 K(x,y) / T(y,y \ 1) = T(y,x) \ 1. [hyper(507,a,231,a,b,863,a),rewrite([2780(7)]),flip(a)]. 18498 (x * ((x \ y) * z)) / T(y,z) = L(z,x \ y,x). [hyper(507,a,5967,a(flip),b,863,a),rewrite([5967(9),298(8)]),flip(a)]. 18521 T(x,K(y,z * y)) = T(x,K(z,y)). [para(864(a,1),158(a,2,2)),rewrite([45(3),864(2),46(3),45(3),5902(3),1705(3),46(2),45(2),161(3),749(5),1742(5)]),flip(a)]. 18524 T(T(x,y),z) \ K(x,x \ 1) = 1 / T(T(x,z),y). [hyper(152,a,4596,a,b,865,a),rewrite([3379(9),853(9),5795(9),407(9),3379(7),853(7),5795(7),407(7)])]. 18532 (x * y) \ K(y * x,x \ (y \ 1)) = 1 / (x * y). [para(187(a,2),865(a,1,2)),rewrite([12040(7),1659(7)])]. 18536 (x / y) \ K(y \ x,x \ y) = 1 / (x / y). [para(1577(a,2),865(a,1,2)),rewrite([11714(7),488(7),2114(6)])]. 18549 T(T(T(x,y),z),T(x,y * z) \ u) = T(T(T(x,x \ u),z),y). [hyper(507,a,4595,a,b,869,a),rewrite([11300(5),10407(5),869(10),11300(10)]),flip(a)]. 18594 T(x * y,K(y,x)) = x * y. [hyper(507,a,502,a,b,870,a),rewrite([502(2),749(4)]),flip(a)]. 18597 T(x * T(y,z),K(x,y)) = x * T(y,z). [hyper(507,a,4210,a(flip),b,870,a),rewrite([4210(6),853(8),179(8),615(6),330(7),749(6)]),flip(a)]. 18602 T(T(x,y) * z,K(x,z)) = T(x,y) * z. [hyper(507,a,1575,a(flip),b,870,a),rewrite([1575(5),5795(7),1830(7),330(7),749(6)]),flip(a)]. 18608 T(x / (x / (y * z)),K(y,z)) = x / (x / (y * z)). [para(870(a,1),60(a,1,2,2)),flip(a)]. 18630 T((x * (y / x)) * z,K(y,z)) = (x * (y / x)) * z. [para(474(a,1),870(a,1,2)),rewrite([330(6)])]. 18632 T(x * L(y,z,u),K(x,y)) = x * L(y,z,u). [para(305(a,1),870(a,1,2))]. 18682 K(x,T(y \ z,z * u)) = K(x,T(z / y,u)). [para(976(a,2),12984(a,2,2)),rewrite([5292(5),7131(5),29(3),602(5),16337(9)])]. 18697 T(T(x \ y,z),y / x) = T(x \ y,z). [para(977(a,1),30(a,1,1)),flip(a)]. 18709 T((x * ((y * x) \ z)) \ z,y) = (x * ((y * x) \ z)) \ z. [para(5965(a,2),977(a,1,2)),rewrite([12603(8)])]. 18768 K(x / y,x * z) = K(y \ x,z * x). [para(3517(a,2),981(a,1,1)),rewrite([12612(4),5297(8),14857(8),482(7)])]. 18814 T(x * y,T(z,y * x)) = T(x * y,z). [para(992(a,1),163(a,1,1)),rewrite([992(9),174(8)])]. 18909 K(x,T(x / y,z)) = K(x,T(y \ x,z)). [hyper(152,a,179,a(flip),b,1096,a),rewrite([6238(3),2027(3),6029(5),679(8),1748(9),179(8),2731(7)])]. 18947 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [para(1097(a,1),861(a,1,1)),rewrite([2143(6),1097(9)]),flip(a)]. 18972 T(x,T(T(y,z) \ 1,u)) = T(x,T(y \ 1,u * z)). [para(4596(a,1),1098(a,2,2)),rewrite([11414(5),1098(5),3360(5),3360(10)]),flip(a)]. 19006 K(x,y) * K(x,x \ 1) = T(x,y) * (1 / x). [para(1099(a,1),203(a,1,2,2)),rewrite([853(5),2186(5),1225(9)])]. 19041 L(x,y,z) * (R(z,y,x) * y) = x * (z * y). [hyper(507,a,502,a(flip),b,13764,a),rewrite([5720(6),814(8),11328(7),4971(6),17677(6)]),flip(a)]. 19060 (x * (y * z)) * a(x,z,y) = (x * z) * T(y,z). [para(502(a,1),13764(a,1,1,2)),rewrite([814(4)])]. 19078 (x * y) * a(x,z,u) = x * (y * a(x,z,u)). [para(4934(a,1),13764(a,1,2)),rewrite([20(5)]),flip(a)]. 19099 x * (y * (z * a(x,z,y))) = (x * z) * T(y,z). [back_rewrite(19060),rewrite([19078(4),6581(3)])]. 19112 T((x * x) * y,T(z,y)) = T((x * x) * y,z). [hyper(507,a,202,a,b,13774,a),rewrite([5292(5),1781(6),13774(8)])]. 19114 (x * x) * T(y,K(z,u)) = T((x * x) * y,K(z,u)). [hyper(507,a,161,a,b,13774,a),rewrite([7351(3),1743(4),1771(5),683(10),1104(8),682(10),682(9),3081(10),749(8)])]. 19122 T((x * x) * (y / z),z) = z \ ((x * x) * y). [para(24(a,1),13774(a,1,2,2)),flip(a)]. 19138 x \ ((y * y) * (x * T(x \ z,u))) = T((y * y) * T(z / x,u),x). [para(171(a,1),13774(a,1,2,2))]. 19252 (x * (y \ z)) \ (x * (z / y)) = K(y,y \ z). [hyper(507,a,1464,a,b,13896,a),rewrite([1464(3),22(6)]),flip(a)]. 19263 (x * T(y \ z,u)) \ (x * T(z / y,u)) = K(y,T(y \ z,u)). [para(171(a,2),13896(a,1,2,2,1)),rewrite([171(6),229(7),22(5)])]. 19284 K(x,y) * (z * ((y * x) / y)) = T(z * x,K(x,y)). [para(13896(a,1),741(a,1,2)),rewrite([749(3),13896(8),1104(8)]),flip(a)]. 19456 L(x / (x / y),z,u) / L(y,z,u) = K(y \ x,y). [hyper(507,a,305,a(flip),b,13999,a),rewrite([5428(3),62(5)]),flip(a)]. 19483 (T(x,y) * z) / ((T(x,y) * z) / x) = x * K(z,x). [hyper(1340,a,13900,a),flip(a)]. 19508 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,y \ x). [para(503(a,1),13900(a,1,1,1,1)),rewrite([503(4),3133(8),3857(7)]),flip(a)]. 19624 (x * y) \ ((x * T(x \ z,u)) * y) = T((x * y) \ (z * y),u). [para(14030(a,1),503(a,1,1)),rewrite([32(5),6450(5)]),flip(a)]. 19641 K(x \ 1,y) * (z / (x * z)) = R(T(1 / x,y),x,z). [para(3262(a,2),14030(a,2,1,1)),rewrite([1589(4),762(6),3262(8)])]. 19785 T(x,T(x \ y,z)) / T(y / x,z) = x / T(x \ y,z). [para(503(a,1),14074(a,2,2,1)),rewrite([16022(3)])]. 19843 T(x,T(y,z * T(u,w))) = T(x,T(y,u * z)). [para(14114(a,1),192(a,1,2,2)),rewrite([9660(7),12193(6),174(3),5904(5),5292(4),22(2),5904(8),7131(7),29(5)]),flip(a)]. 19846 K(x * (y / z),T(u,z)) = K((z \ x) * y,u). [para(203(a,2),14114(a,1,2,2)),rewrite([203(5),521(5),396(5),7070(4),7352(8),475(8)])]. 19849 K(x / T(y,z),T(u,y * z)) = K(((z * y) \ x) * z,u). [para(209(a,2),14114(a,1,2,2)),rewrite([226(6),7070(6),13031(6),7352(10),475(10)])]. 19850 K(((x * y) \ z) * x,u) = K(y \ T(z,x),u). [para(216(a,1),14114(a,1,2,2)),rewrite([3835(3),226(6),5206(6),1687(6),19849(5),774(7),452(9),10198(8)])]. 19858 K(x / T(y,z),T(u,w * y)) = K(T(y,z) \ x,T(u,w)). [para(4207(a,1),14114(a,1,2,2)),rewrite([10066(7),602(7),7070(6),13031(6),7352(10),13078(10)])]. 19859 K(x / y,z * z) = K(y \ x,z * z). [para(750(a,1),14114(a,2,2)),rewrite([6982(5),402(4)])]. 19864 K(x * (y / z),T(u,z * y)) = K(y * (z \ x),u). [para(3350(a,1),14114(a,1,2,2)),rewrite([349(6),396(6),12663(5),7070(5),749(10),1742(10),367(11),7352(8)])]. 19890 T(x,y) * K(z,T(x,u * y)) = T(x * K(z,T(x,u)),y). [para(14189(a,1),171(a,1,1,1)),rewrite([866(3),5795(3),12137(5),4280(3),232(10),866(8),5795(8)]),flip(a)]. 19919 T(x,y) \ T(x * K(z,T(x,u)),y) = K(z,T(x,u * y)). [hyper(628,a,19890,a)]. 19944 T(x,T(y,z)) * K(u,T(x,y)) = T(x * K(u,x),T(y,z)). [para(163(a,2),19890(a,1,2,2,2)),rewrite([349(6),5904(5),396(6),367(8)])]. 19955 T(x,y) * K(z,T(x,y * u)) = T(x * K(z,T(x,u)),y). [para(209(a,1),19890(a,1,2,2,2)),rewrite([521(5),477(4),396(8)])]. 19971 T(x,y) * K(z * y,x) = T(x * K(y * z,x),y). [para(614(a,1),19890(a,1,2)),rewrite([475(7)])]. 19979 T(T(x,y),z) * K(u,T(x,z * y)) = T(T(x * K(u,x),y),z). [para(615(a,1),19890(a,2,1,2,2)),rewrite([5795(6),5292(5),1941(6),10776(10)])]. 20021 T(x,T(y,z * (u * w))) = T(x,T(y,w * (z * u))). [para(14139(a,2),192(a,2,2)),rewrite([5795(5),19979(6),5904(5),14166(5),5292(3),14139(8),5904(8),5904(8),5292(7)])]. 20191 T(x,T(y,z * (u * K(w,v5)))) = T(x,T(y,z * u)). [hyper(507,a,365,a,b,14166,a),rewrite([5676(4),682(3),14166(9)])]. 20201 T(x,T(y,z * (y \ u))) = T(x,T(y,u * z)). [para(166(a,2),14166(a,1,2,1)),rewrite([12367(4),14167(4)]),flip(a)]. 20217 K(T(x * K(y,x),z) \ u,T(w,x)) = K(u / T(x * K(y,x),z),w). [para(14166(a,1),1577(a,1,2)),rewrite([396(8)])]. 20224 T(x,T(y * z,y * (u * z))) = T(x,T(y * z,u)). [para(615(a,1),14166(a,2,2)),rewrite([153(6,R),229(4),5904(6),16338(6),5292(4)])]. 20232 T(x,T(y,z * (u * T(w,v5)))) = T(x,T(y,w * (z * u))). [para(14140(a,2),14166(a,2,2)),rewrite([396(5),19944(5),5904(6),19843(6),14166(5),5292(3),14140(9),5904(9),5292(8)]),flip(a)]. 20233 T(x,T((y \ z) * y,u)) = T(x,T(z,y * u)). [back_rewrite(16888),rewrite([20201(8)])]. 20240 T(x / ((y * z) / y),T(z,y)) = ((y * z) / y) \ x. [hyper(152,a,503,a(flip),b,14019,a),flip(a)]. 20297 K(x * y,T(z,u * (w * x))) = K(y * x,T(z,u * w)). [para(14181(a,1),187(a,1,2)),rewrite([5795(4),5795(10),12986(10),5292(8)]),flip(a)]. 20336 T(x * K(y,T(x,z)),u) \ T(x,u) = K(x,T(y,z * u)). [para(30(a,1),14188(a,2,2)),rewrite([853(2),5795(9)])]. 20345 K(x,T(y * (z * K(u,K(w,v5))),v6)) = K(x,T(y * z,v6)). [para(218(a,1),14188(a,1,1,1,2)),rewrite([14188(6)]),flip(a)]. 20356 K(x,T(y * (z / y),u)) = K(x,T(z,y * u)). [para(474(a,1),14188(a,1,1,1,2)),rewrite([20336(6)]),flip(a)]. 20538 T(x,y) * T(x \ T(y,x),z) = y * K(y / x,z). [para(155(a,2),14253(a,1,2)),rewrite([2430(6),674(7)]),flip(a)]. 20539 T(x,y) * T(T(x,y) \ y,z) = y * K(y / x,z). [para(155(a,2),14253(a,2,1)),rewrite([155(7),20538(10)])]. 20651 T(x \ K(y,T(z,x)),K(y,z)) = x \ K(y,z). [para(158(a,2),14272(a,1,1,1)),rewrite([158(3),5676(4),2722(4),405(3),866(6),2955(7)]),flip(a)]. 20833 K(x * x,x \ (x \ y)) = K(x * x,y). [para(14273(a,2),14277(a,1,2)),rewrite([12943(9),372(5),19(6),216(7),6077(6),26(5),1010(6)]),flip(a)]. 20854 x * ((y / x) \ T(x \ y,x)) = ((x \ y) * x) / (y / x). [para(166(a,1),14288(a,1,1)),rewrite([492(6),864(5),682(6),11553(5),10051(9),1582(8)])]. 20855 (x / (x / y)) * K(y \ x,y) = ((y \ x) * y) / (x / y). [para(166(a,1),14288(a,2,1,2)),rewrite([492(5),864(4),5664(10),1582(8)])]. 20863 (x / y) * (K(y,y \ x) * z) = ((y * (x / y)) / y) * z. [para(14288(a,1),3514(a,1,1)),rewrite([919(7),302(7)]),flip(a)]. 20879 (x / L(y,z,u)) * K(y,y \ x) = (y * (x / y)) / L(y,z,u). [para(306(a,1),14288(a,1,2)),rewrite([5431(5),7315(9)])]. 21071 (x * x) * ((K(y,z) / z) * u) = ((x * x) / T(z,y)) * u. [para(14300(a,1),14(a,1,1)),rewrite([3384(5)]),flip(a)]. 21115 a(x,(y * y) * (z \ K(u,z)),w) = a(x,z \ (y * y),w). [para(14300(a,1),5961(a,1,2,1,2)),rewrite([21071(5),3384(10),25(11),818(4),940(4),2330(8)]),flip(a)]. 21419 K(x,y / z) / ((y * u) / (z * u)) = 1 / R(T(y / z,x),z,u). [para(3517(a,1),14303(a,1,2))]. 21527 R(T(x,y),x \ 1,x) = T((x \ 1) \ 1,y). [para(14334(a,1),14887(a,1,1,1)),rewrite([44(5),1586(4),46(4),493(4),639(5),18155(5),19(7),1860(10),1848(9),1838(9)]),flip(a)]. 21579 T(x,y) \ (z * T((z * x) / z,y)) = T(T(z,T(x,y)),T(x,y)). [hyper(507,a,14140,a,b,14371,a),rewrite([14140(5),229(8)]),flip(a)]. 21581 K(x,y) * (z \ (u * ((u * z) / (u * K(x,y))))) = T(T(u,z),z). [hyper(507,a,341,a,b,14371,a),rewrite([15001(6),682(5),3096(5),749(3),365(4),6169(8),774(10)]),flip(a)]. 21587 T(T(x,T(y,z)),T(y,z)) = T(T(x,y),y). [hyper(507,a,192,a(flip),b,14371,a),rewrite([192(3),6169(10),774(12),21581(12)])]. 21591 (x \ y) \ (x * (y / x)) = T(x \ y,x) \ y. [para(22(a,1),14371(a,1,2,2,1)),rewrite([7358(8)])]. 21616 T((x \ y) \ y,x \ y) = T(x \ y,x) \ y. [para(741(a,1),14371(a,2,1)),rewrite([22(3),21591(4)]),flip(a)]. 21642 T(x,y) \ (z * T((z * x) / z,y)) = T(T(z,x),x). [back_rewrite(21579),rewrite([21587(10)])]. 21645 (x * T((x * y) / x,z)) / T(x,T(y,z)) = T(y * K(x,y),z). [hyper(507,a,15913,a,b,14386,a),rewrite([330(3),12705(2),866(5),379(4),10776(4),229(6)]),flip(a)]. 21654 T(x,y) * K(y \ z,x) = T(x * K(z / y,x),y). [para(183(a,1),14386(a,2,2)),rewrite([229(6),21645(11)]),flip(a)]. 21770 (T(x \ y,x) * x) / (x \ y) = ((x \ y) * x) / (y / x). [para(1459(a,2),14387(a,1,2)),rewrite([153(4),1459(6),682(6),11553(5),20854(5)]),flip(a)]. 21901 T(x / y,z) \ T(y,T(y \ x,z)) = T(y \ x,z) \ y. [para(16022(a,1),200(a,2,2)),rewrite([1576(3)]),flip(a)]. 22143 (x * L(x \ 1,y,z)) / L(K(u,x) / x,y,z) = T(1 / (1 / x),u). [para(14423(a,1),153(a,1,1)),rewrite([306(14),3353(13),11255(13),1586(13),4289(13),1473(12)])]. 22299 ((x * y) / x) * K(z,T(u,y)) = K(z,u) * ((x * y) / x). [hyper(152,a,12619,a,b,14446,a),rewrite([866(4),348(5),861(6),13891(6),418(11),3095(11)])]. 22304 T(K(x,x \ y) * z,K(x,y)) = z * K(x,x \ y). [para(203(a,1),14446(a,1,1,1)),rewrite([1464(3),44(6),1696(5),46(5),12994(5),1705(5),46(4),13898(5),417(5),203(8),1464(8),866(8),1584(9)])]. 22440 K(x,T(y * z,z * u)) = K(x,T(z * y,u)). [para(187(a,1),14305(a,1,1,2)),rewrite([46(3),853(6),482(6),861(6),13891(6),853(7),5795(7)]),flip(a)]. 22503 K((x \ y) * z,x) = K(y * (x \ z),x). [para(14946(a,1),187(a,1,2)),rewrite([6862(3),1579(9),1787(8),16337(8),5206(7),475(7)]),flip(a)]. 22530 K(x,T(x \ K(x,x \ y),y)) = K(x,x \ 1). [para(14946(a,1),14334(a,1,1)),rewrite([1579(5),1787(4),976(3),1941(4),3353(3),1696(3),864(2),3835(6),12703(6),859(3),774(11),2309(11),179(10),1787(9),1830(9)]),flip(a)]. 22555 T(x \ K(y,T(z,x)),u * K(y,z)) = T(x \ K(y,z),u). [para(20651(a,1),30(a,1,1)),rewrite([5676(9)]),flip(a)]. 22573 T(x \ K(y,z),T(u,x)) = T(x \ K(y,z),u). [para(20651(a,1),188(a,1,1)),rewrite([1779(7),1587(5),4831(6),5676(10),22555(10)])]. 22575 T(T(x,y) \ K(z,T(u,x)),K(z,u)) = T(x,y) \ K(z,u). [para(192(a,2),20651(a,1,1,2,2)),rewrite([192(4),396(4)])]. 22623 K(x,y) * ((z * z) \ 1) = (z * z) \ K(x,y). [para(407(a,1),20651(a,1,1,2)),rewrite([2116(5)])]. 22707 (x \ K(y,x)) * T((T(x,y) \ 1) \ z,u) = T(x,y) \ T(T(x,y) * z,u). [hyper(152,a,171,a,b,18096,a),rewrite([171(9),225(9)]),flip(a)]. 22715 (x \ K(y,x)) * ((T(x,y) \ 1) \ z) = z. [hyper(152,a,22,a(flip),b,18096,a),flip(a)]. 22726 ((T(x,y) \ 1) * (z * u)) \ (((x \ K(y,x)) * z) * u) = a(x,z,u). [para(18096(a,1),25(a,1,2,1)),rewrite([3266(14),851(12)])]. 22727 a(x \ K(y,x),z,u) = a(x,z,u). [para(18096(a,2),25(a,1,1)),rewrite([22726(10)]),flip(a)]. 22952 T(R(x,y,z) \ 1,K(x,u)) = R(x,y,z) \ 1. [para(241(a,1),18098(a,1,1,1)),rewrite([1219(9),891(8),9772(8)]),flip(a)]. 23087 K(T(x,y) * z,T(u,w * x)) = K(z * T(x,y),T(u,w)). [para(22707(a,1),177(a,1,1,1)),rewrite([12750(9),1104(7),174(7),4277(7),21(4),853(4),1787(13),861(11),192(12),396(12),853(11),5795(11),12820(11),373(7)]),flip(a)]. 23103 T(x,T(T(y,z) * u,y * w)) = T(x,T(u * T(y,z),w)). [para(22707(a,1),14019(a,1,2,1)),rewrite([6114(9),12409(9),1104(7),174(7),4277(7),21(4),1779(13),192(12),349(12),5904(11),13600(11),373(7)]),flip(a)]. 23128 T(x,T(y,z / u)) = T(x,T(y,u * z)). [para(18115(a,2),192(a,1,2,2)),rewrite([18115(6),10776(6),14166(6),2023(4),1779(8),20(6),5904(6)])]. 23180 K(T(x,y) \ z,T(x,y * u)) = K(x \ z,T(x,y * u)). [para(1459(a,2),19919(a,1,2,1,2)),rewrite([1459(6),10198(5),2405(4),19919(7)]),flip(a)]. 23193 T(x * y,z) \ T(x * (y * K(u,x * y)),z) = K(u,T(x * y,z)). [para(870(a,1),19919(a,1,2,1,2,2)),rewrite([682(6),357(13)])]. 23205 K(x,T(T(T(y,z),u),w) * z) = K(x,z * T(T(y,u),w)). [para(30(a,1),16981(a,1,2,1,1))]. 23208 T(x,T(T(y,z),u) * z) = T(x,z * T(y,u)). [para(16981(a,1),155(a,1,2)),rewrite([155(4)]),flip(a)]. 23209 T(x,K(y,z * T(u,w))) = T(x,K(y,z * u)). [para(16981(a,1),158(a,1,1,2)),rewrite([597(4),158(4),16981(7)]),flip(a)]. 23213 K(x,y * (K(z,u) * T(z,w))) = K(x,y * T(T(z,w),u)). [para(163(a,1),16981(a,2,2,2)),rewrite([16981(6),604(5)]),flip(a)]. 23273 T(x,T(T(T(y,z),u),w) * z) = T(x,z * T(T(y,u),w)). [para(30(a,1),23208(a,1,2,1,1))]. 23281 T(x,T(T(T(y,z),u),w) * T(z,y)) = T(x,T(z,y) * T(T(y,u),w)). [para(188(a,1),23208(a,1,2,1,1))]. 23284 T(x,T(y,z) * T(z,u)) = T(x,T(z,u) * y). [para(202(a,1),23208(a,1,2,1,1)),rewrite([16241(4),10072(4)]),flip(a)]. 23297 T(x,y * T((z * u) / z,w)) = T(x,y * T(u * K(z,u),w)). [para(4148(a,1),23208(a,1,2,1,1)),rewrite([23208(6)]),flip(a)]. 23318 K(x,T(y,z * (T(u,w) * v5))) = K(x,T(y,z * (u * v5))). [para(23208(a,2),19919(a,1,2,1,2,2)),rewrite([23208(5),602(5),19919(7),5292(3),5292(8)]),flip(a)]. 23327 T(x,y * (z * (u * K(w,K(v5,v6))))) = T(x,y * (z * u)). [para(3514(a,1),15804(a,2,2)),rewrite([677(5),3514(6)])]. 23342 K(x,T(y * K(z,T(u,w)),v5)) = K(x,T(y * K(z,u),v5)). [para(153(a,2),20345(a,1,2,1,2)),rewrite([6238(3),2305(3)])]. 23344 K(x,T(y * T(z,K(u,w)),v5)) = K(x,T(y * z,v5)). [para(155(a,1),20345(a,1,2,1,2))]. 23347 K(x,T(T(y,z) * z,u)) = K(x,T(z * y,u)). [para(209(a,1),20345(a,1,2,1)),rewrite([6169(5),44(3),46(3),45(3),16582(5),20345(8),20356(5),10191(4),335(7)]),flip(a)]. 23348 K(x,T(y * (z * (u * K(w,K(v5,v6)))),v7)) = K(x,T(y * (z * u),v7)). [para(3514(a,1),20345(a,2,2,1)),rewrite([677(5),3514(6)])]. 23373 T(x,T(T(y,z) * z,u)) = T(x,T(z * y,u)). [para(23347(a,1),155(a,1,2)),rewrite([155(4)]),flip(a)]. 23384 K(x,T(T(y,K(z,u)) * w,v5)) = K(x,T(y * w,v5)). [para(365(a,1),23347(a,1,2,1,1)),rewrite([23344(6),23347(4)]),flip(a)]. 23665 K(x / y,T(x \ z,u)) = K(y \ x,T(z / x,u)). [hyper(152,a,12984,a(flip),b,16771,a),flip(a)]. 23667 K(x / y,T(z,u * x)) = K(y \ x,T(z,u)). [para(24(a,1),16771(a,1,2,2)),rewrite([12663(7)]),flip(a)]. 23670 K(K(x,y) / z,u) = K(z \ K(x,y),u). [para(47(a,1),16771(a,1,2,2)),rewrite([356(7),367(5),367(8)]),flip(a)]. 23755 T(K(x,y) / z,K(z,u)) = K(x,y) / z. [para(23670(a,1),494(a,1,2)),rewrite([749(6),1742(6),595(6),749(4)])]. 23776 K(x,T(y,z)) * T(y,T(z,u)) = T(y * K(x,y),T(z,u)). [hyper(152,a,1575,a,b,19944,a),rewrite([330(5),12705(4)])]. 23791 T(x,T(y,z)) * (K(u,T(x,y)) * w) = T(x * K(u,x),T(y,z)) * w. [para(19944(a,1),3514(a,1,1)),rewrite([927(9),302(7)]),flip(a)]. 23826 T(T(x,y),y) * K(z,x) = T(T(x * K(z,x),y),y). [para(14371(a,2),19944(a,1,1)),rewrite([229(4),21642(6),30(5),396(6),5795(5),407(5),396(9),19944(9),21587(10)])]. 23962 K(x \ 1,T(y,z)) * (x \ K(z,x)) = T(x \ K(z,x),y). [para(204(a,1),14944(a,1,1,1)),rewrite([979(4),3438(4),22573(11)])]. 23990 T(T(x,y) \ 1,T(z,x)) = T(x \ K(y,x),z). [para(231(a,1),14944(a,1,2)),rewrite([979(4),3438(4),23962(7),349(9)]),flip(a)]. 24056 K(x * y,T(z,x * u)) = K(y * x,T(z,u)). [para(23826(a,2),187(a,1,2)),rewrite([23826(5),5795(6),407(6),1579(4),12986(8)]),flip(a)]. 24142 K(x \ K(y,x),T(z,y)) = K(x \ 1,z). [para(18148(a,1),183(a,2,1)),rewrite([5904(7),408(7),15337(6),3438(5),10198(5),377(2),3680(7)]),flip(a)]. 24428 T(x,T(y * z,y * u)) = T(x,T(z * y,u)). [para(209(a,1),23373(a,1,2,1)),rewrite([14167(5)])]. 24464 T(x,T(y * z,u * y)) = T(x,T(z * y,u)). [back_rewrite(20224),rewrite([24428(5)])]. 24486 L(T(x / (x / y),z),u,w) / L(T(y,z),u,w) = K(y \ x,T(y,z)). [hyper(507,a,14342,a,b,19456,a),rewrite([14342(7),10198(4),2405(3),60(6)]),flip(a)]. 24547 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (z * K(u,w))). [para(153(a,2),23327(a,1,2,2,2)),rewrite([6238(3),2305(3)])]. 24580 K(x,y * (z * K(u,T(w,v5)))) = K(x,y * (z * K(u,w))). [para(861(a,1),14632(a,1,2,2,2)),rewrite([45(3),46(3),10900(4),155(2)])]. 24596 K(x,y * (K(z,T(u,w)) * v5)) = K(x,y * (K(z,u) * v5)). [para(209(a,1),24580(a,1,2,2)),rewrite([6238(4),853(2),2305(4),853(3),5795(3),7162(4),330(8),418(9),3095(9)])]. 24601 K(x,y * (z * (u * K(w,T(v5,v6))))) = K(x,y * (z * (u * K(w,v5)))). [para(3516(a,2),24580(a,1,2,2)),rewrite([12605(3),682(9)])]. 24631 T((x \ y) * x,T(z,y)) = T((x \ y) * x,z). [para(14926(a,1),202(a,1,2)),rewrite([349(5)])]. 24635 T(x,(y \ z) * (u * y)) = T(x,T(z * u,y)). [para(3515(a,2),14926(a,1,2,1)),rewrite([5545(5),24428(8)])]. 24779 T(x / y,T(y \ x,z)) = x / y. [hyper(143,a,18697,a)]. 24871 T((x \ y) \ 1,T(z,x * y)) = T((x \ y) \ 1,z). [para(503(a,1),23990(a,1,1,1)),rewrite([23128(6),244(9),4717(10)])]. 24993 (x \ 1) * (x \ 1) = (x \ 1) / x. [para(391(a,1),17314(a,1,2)),flip(a)]. 25001 x * (T(x \ 1,x) \ 1) = x / T(x \ 1,x). [para(863(a,1),17314(a,1,2)),rewrite([180(6),4044(11),7358(10)]),flip(a)]. 25080 T(x / L(y,z,u),K(x,y)) = x / L(y,z,u). [para(306(a,1),16756(a,1,2)),rewrite([749(4)])]. 25153 T(T(x,y) * (z / u),K(x,z * u)) = T(x,y) * (z / u). [para(16771(a,2),18594(a,1,2)),rewrite([16771(7),330(7),749(6),12660(6)])]. 25206 (K(x,y) / y) * (T(y,x) * z) = L(z,y,y). [hyper(152,a,14301,a,b,14620,a),rewrite([927(8),883(7)])]. 25209 (1 / ((x * x) * y)) * ((x * x) * (y * z)) = L(z,(x * x) * y,y). [para(14(a,1),14620(a,1,2)),rewrite([3158(13)])]. 25217 ((x * (1 / y)) * (y * z)) / L(z,y,y) = R(x,y \ 1,y * z). [para(14620(a,1),28(a,1,2)),rewrite([1848(11)])]. 25263 K(x,x \ 1) / x = L(1 / x,x,x). [para(859(a,1),14620(a,1,2)),rewrite([14288(6),859(3)])]. 25386 R(x \ 1,x \ 1,x) = 1 / x. [para(741(a,2),17329(a,1,3)),rewrite([1860(8),391(10)])]. 25427 a(x,y,a(y,z,L(z,u,w))) = 1. [hyper(142,a,17587,a),rewrite([8982(3),8870(2)])]. 25444 x * L(x \ 1,x,a(y,z,L(z,u,w))) = 1. [para(17587(a,1),14423(a,2,2)),rewrite([7114(7),14423(7),22(9)])]. 25449 R((x \ 1) \ 1,x,x \ 1) = x. [hyper(507,a,391,a(flip),b,25386,a),rewrite([1849(11)]),flip(a)]. 25517 (x \ T(x * y,z)) / T((x \ 1) \ y,z) = x \ 1. [hyper(732,a,225,a)]. 25536 T(T(x,y),z) * (x \ 1) = x \ T(T(x,y),z). [para(155(a,1),225(a,2,2,1)),rewrite([4211(6),1575(8)])]. 25546 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [para(492(a,1),225(a,1,1)),rewrite([492(4)]),flip(a)]. 25558 x \ T(1 / (1 / x),y) = (x \ 1) * T(x,y). [para(1473(a,1),225(a,2,2,1)),rewrite([4716(8),492(6)]),flip(a)]. 25601 T(T(x / (T(y,z) * z),u),z * y) = T((T(y,z) * z) \ x,u). [hyper(152,a,1576,a(flip),b,226,a),flip(a)]. 25617 T(x,y * (z * (y \ u))) = T(x,T(z,y) * u). [para(4207(a,1),226(a,1,2)),rewrite([14019(3),10066(6),226(5),7131(7),5292(7)]),flip(a)]. 25629 T(x,T(y,z) * T(z * K(u,z),w)) = T(x,T(z * K(u,z),w) * y). [para(14166(a,1),226(a,1,2,1)),rewrite([9958(8)])]. 25645 T(x,T(y,z) * (z * u)) = T(x,z * (y * u)). [para(226(a,1),226(a,1,2,1)),rewrite([1895(6),226(5),5292(3),5292(7)]),flip(a)]. 25665 (x * T(y,z)) / T((x * y) / x,z) = x * K(y,T(x,z)). [para(229(a,1),166(a,1,2)),rewrite([21(9),853(8)])]. 25668 (x * T(y * K(x,y),z)) / T(x,T(y,z)) = T(y * K(x,y),z). [para(216(a,2),229(a,1,1)),rewrite([10776(4),153(13),853(10),495(9)])]. 25682 T((x * y) / x,T(y,z)) = (x * y) / x. [para(495(a,1),229(a,1,1,2)),flip(a)]. 25766 K(x,T(y,K(z,u) * w) * (w * K(z,u))) = K(x,w * (K(z,u) * y)). [para(168(a,2),235(a,1,2,1)),rewrite([763(10)])]. 25819 K(x,T(y,z)) * a(y,x,y) = K(y * x,T(y,z)). [para(247(a,1),26(a,1,1)),rewrite([4998(7),814(4)])]. 25820 ((x * y) * T(x,z)) \ (x * (T(x,z) * y)) = K(x,T(x * y,z)). [para(247(a,1),26(a,1,2)),rewrite([853(10)])]. 25824 L(T(T(x,y),z),z,x) = T(T(x,y),x * z). [para(247(a,1),29(a,1,2)),rewrite([5942(5)])]. 25825 T(T(x,y),z) * (T(x,z) * u) = T(x,z) * (T(T(x,z),y) * u). [para(30(a,1),247(a,1,1))]. 25835 T(x,y) * T(x,T(z,y)) = x * T(T(x,y),z). [para(155(a,1),247(a,2,2)),rewrite([853(3),155(4)])]. 25872 T(x,y) * (1 / (1 / x)) = x * T(1 / (1 / x),y). [para(1473(a,1),247(a,1,2)),rewrite([4289(11),1473(10)])]. 25900 T(x,y) * T(x,K(z,u)) = x * T(x,y * K(z,u)). [para(13898(a,1),247(a,1,2)),rewrite([46(7),45(7),3851(8),417(8),174(6),5676(7)])]. 25934 K(x / y,x \ z) = K(y \ x,z / x). [para(503(a,1),248(a,1,2))]. 25938 K(T(T(x,y),z) / u,T(w,x)) = K(u \ T(T(x,z),y),w). [para(4597(a,1),248(a,2,1)),rewrite([5904(6),396(7)])]. 25942 K(a(x,y,z) / u,w) = K(u \ 1,w). [para(300(a,1),248(a,1,2)),rewrite([5269(6)])]. 25943 K(L(x,y,z) / u,T(w,x)) = K(u \ L(x,y,z),w). [para(298(a,1),248(a,1,2))]. 26011 (x / (x / y)) \ (y \ x) = y \ (x / y). [para(24(a,1),254(a,1,1,1)),rewrite([503(4)])]. 26028 L(x / y,z,u) \ T(y,y \ x) = L(y \ x,z,u) \ y. [para(213(a,2),254(a,1,1,1)),rewrite([213(3),5612(4),22(2),298(5)])]. 26098 K(x * K(y,z),K(z,y) * x) = 1. [hyper(152,a,380,a(flip),b,255,a),flip(a)]. 26117 K(x * K(y,z),u) * (K(z,y) * x) = T(K(z,y) * x,u). [para(255(a,1),174(a,1,1))]. 26121 x * (K(y,z) * (u * K(K(z,y) * x,u))) = T(x * K(y,z),u) * u. [para(255(a,2),216(a,1,2,2)),rewrite([763(7)])]. 26126 K(K(x,K(y,z) * u) * w,v5) = K(w * K(x,u),v5). [para(363(a,1),255(a,2,1,2)),rewrite([15851(10)])]. 26139 K(x,T(K(y,z) * u,w)) = K(x,T(u * K(z,y),w)). [para(255(a,1),14188(a,1,1,1,2)),rewrite([14188(7)]),flip(a)]. 26161 T(x,y) * T(z,T(x,y * u)) = T(z * T(x,y),K(x,u)). [para(30(a,1),257(a,1,2,2)),rewrite([5904(4),853(9),330(10)])]. 26162 x * T(T(y,T(x,z)),u) = T(T(y,u) * x,K(x,z)). [para(30(a,1),257(a,1,2))]. 26163 R(x,y,z) * T(u,T(x,w)) = T(u * R(x,y,z),K(x,w)). [para(32(a,1),257(a,1,2,2)),rewrite([12603(4),12612(8)])]. 26164 x * R(T(y,T(x,z)),u,w) = T(R(y,u,w) * x,K(x,z)). [para(32(a,1),257(a,1,2))]. 26184 T(x * (y / x),K(z,y * x)) = y * K(x,T(x \ y,z)). [para(203(a,2),257(a,2,1)),rewrite([16022(4),2193(5),203(7),749(9),12660(9)]),flip(a)]. 26189 (x \ y) * T(z,y / x) = T(z * (x \ y),K(x,y)). [para(1459(a,2),257(a,2,2)),rewrite([1591(4),1459(9),749(9),1742(9),991(8),2315(9)])]. 26198 (x / y) * T(z,y \ x) = T(z * (x / y),K(x,y)). [para(503(a,1),257(a,1,2,2)),rewrite([864(8),749(9),1742(9),18521(9)])]. 26293 K(x \ y,x) * T((x * (y / x)) / x,z) = T(y / x,T(z,x)). [hyper(507,a,3356,a,b,259,a),rewrite([3356(4),864(5),244(8),14288(9)]),flip(a)]. 26329 T(x * x,T(y,z)) = T(x * x,y). [para(4705(a,2),259(a,1,2,1)),rewrite([861(6),682(6),12205(8),3081(7),494(4)]),flip(a)]. 26355 (x / y) * (y * T(y \ ((x / y) \ z),u)) = x * T(x \ z,u). [para(24(a,1),261(a,1,1)),rewrite([24(2)]),flip(a)]. 26356 x * (y * T(y \ (x \ (z * (x * y))),u)) = T(z,u) * (x * y). [para(29(a,1),261(a,1,2,1)),rewrite([1575(5)]),flip(a)]. 26407 K(x,K(y,z) * (u * K(y,z))) = K(x,u). [para(203(a,2),267(a,1,2)),rewrite([1104(3),44(4),1112(3),46(2),45(2),155(3),367(3),1105(4)]),flip(a)]. 26408 (K(x,K(y,z) * u) / u) * K(y,z) = 1 / T(K(z,y) * u,x). [para(267(a,1),204(a,1,1)),rewrite([1863(6)])]. 26423 K(x,K(K(y,z) * u,w) * v5) = K(x,K(w,K(z,y) * u) * v5). [para(267(a,1),267(a,1,2,1)),flip(a)]. 26450 T(x,T(y * (z * u),u)) = T(x,u * (y * z)). [para(3514(a,1),268(a,1,2,1)),rewrite([298(4),5545(8)])]. 26452 T(x * y,y) * T(z,y * x) = z * T(x * y,y). [para(268(a,1),502(a,1,2))]. 26467 T(x,T(y * T(z * K(u,z),w),z)) = T(x,T(z * K(u,z),w) * y). [para(14166(a,1),268(a,1,2)),rewrite([349(8)])]. 26487 T(x,T(y * (T(z,u) * u),u * z)) = T(x,u * (z * y)). [para(226(a,1),268(a,1,2)),rewrite([5292(10),25645(10)])]. 26488 K(x,T(y,z * u) * T(u * z,z)) = K(x,z * (u * y)). [para(268(a,1),235(a,1,2,1)),rewrite([13061(10)])]. 26493 T(x,T(y * z,u * z)) = T(x,T(z * y,u)). [para(268(a,1),259(a,1,2)),rewrite([259(6),5904(7)]),flip(a)]. 26505 (T(x,y) \ y) * K(x \ y,z) = T(T(x,y) \ y,T(z,x)). [para(180(a,2),269(a,1,2,1)),rewrite([2291(5),349(10)])]. 26553 ((x * (K(y,z) * u)) \ (u * x)) * K(y,z) = K(u,K(y,z) * x). [hyper(507,a,26,a,b,270,a),rewrite([763(3),683(7)])]. 26554 K(x,T(y,z) * K(u,w)) = K(x,T(K(u,w) * y,z)). [hyper(507,a,16981,a(flip),b,270,a),rewrite([416(4),5781(8),15945(9)]),flip(a)]. 26573 K(x,y * K(z * u,z)) = K(x,K(u,z) * y). [para(1459(a,2),270(a,2,2,2)),rewrite([1436(4),2272(4),1459(6),1449(7)]),flip(a)]. 26574 K(x,y * K(z,z * u)) = K(x,K(u,z) * y). [para(1460(a,2),270(a,1,2,1)),rewrite([1460(3),1434(4),991(2),1932(4),1528(7)]),flip(a)]. 26579 K(x,y) * (z \ K(u,K(y,x) * z)) = T(z * K(y,x),u) \ 1. [para(270(a,2),231(a,2,2)),rewrite([774(11)]),flip(a)]. 26584 K(x,K(K(y,z) * u,w) * v5) = K(x,v5 * K(u * K(z,y),w)). [para(255(a,1),270(a,2,2,2))]. 26587 K(x,K(y,K(z,u) * w) * v5) = K(x,v5 * K(y,w * K(z,u))). [para(270(a,1),270(a,2,2,2))]. 26603 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(19(a,1),271(a,1,2,2,1,2,2)),rewrite([1589(9)])]. 26615 x \ ((y * T(y \ z,u)) * (y \ x)) = T(x \ (z * (y \ x)),u). [para(271(a,1),5967(a,1,2)),rewrite([5758(14),22(8)])]. 26659 T(x * L(L(x,y,z),y,z),K(x,u)) = x * L(L(x,y,z),y,z). [hyper(152,a,856,a,b,272,a),rewrite([31(3),495(2),9130(3),9130(6)]),flip(a)]. 26681 L(x \ y,z,u) * T(w,y / x) = T(w * L(x \ y,z,u),K(x,y)). [para(1459(a,2),272(a,2,2)),rewrite([1591(5),1459(11),749(11),1742(11),991(10),2315(11)])]. 26682 R(x * L(L(x,y,z),y,z),u,w) = x * L(L(x,y,z),y,z). [para(626(a,2),272(a,2,1)),rewrite([31(4),495(3),9130(3),9130(6),32(9),26659(8)]),flip(a)]. 26735 L(x,y,z) * R(T(u,x),w,v5) = R(u,w,v5) * L(x,y,z). [para(32(a,1),275(a,1,2))]. 26775 (x * L(L(x,y,z),y,z)) \ L(x,y,z) = 1 / L(x,y,z). [para(275(a,2),3262(a,1,1)),rewrite([31(3),379(2),9130(3)])]. 26782 L(x / y,z,u) * (y \ x) = (y \ x) * L(x / y,z,u). [para(977(a,1),275(a,1,2))]. 26788 L(x \ y,z,u) * (y / x) = (y / x) * L(x \ y,z,u). [para(1095(a,1),275(a,1,2))]. 26827 T(x / L(L(y,z,u),w,v5),y) = L(L(y,z,u),w,v5) \ x. [hyper(152,a,298,a(flip),b,276,a)]. 26856 T(x / L(y,z,u),y \ x) = x / L(y,z,u). [para(276(a,1),495(a,1,2)),rewrite([5254(5)])]. 26958 K(x / (L(y,z,u) * w),v5) = K(x / (y * w),v5). [para(277(a,2),16771(a,1,2,2)),rewrite([277(6),10939(7),22(5),10536(5),5900(9),5428(9),1577(8),4599(7)])]. 26988 (x * y) * a(z,u,L(w,y,x)) = x * (a(z,u,w) * y). [para(280(a,2),3514(a,2,2)),rewrite([8871(3)])]. 26990 x \ (y * (a(z,u,w) * (y \ x))) = a(z,u,L(w,y * x,y)). [para(280(a,2),5967(a,1,2,2)),rewrite([8871(8),9200(8)])]. 27027 K(x,y * (a(z,u,w) * v5)) = K(x,y * v5). [para(280(a,1),14632(a,1,2,2)),rewrite([928(5),208(7),9599(4)]),flip(a)]. 27033 T(L(x,y,z) * a(u,w,v5),K(x,v6)) = L(x,y,z) * a(u,w,v5). [para(280(a,1),272(a,2,1)),rewrite([303(4)]),flip(a)]. 27102 L(x,(y * y) * z,a(u,w,v5)) = L(x,z,a(u,w,v5)). [para(14(a,1),285(a,1,1)),rewrite([14(7),14(9),3538(10),497(6)]),flip(a)]. 27138 (x * a(y,z,u)) \ (a(y,z,u) * a(y,z,u)) = a(y,z,u) * (x \ 1). [para(626(a,2),286(a,2,2)),rewrite([13108(4),626(10)]),flip(a)]. 27150 x * L(x \ 1,x,a(y,z,u)) = a(x,x,a(y,z,u)). [para(286(a,1),14423(a,2,2)),rewrite([14423(6),19(10),11333(9),10164(10)])]. 27156 a(x,x,a(y,z,L(z,u,w))) = 1. [back_rewrite(25444),rewrite([27150(6)])]. 27236 x * (a(y,z,u) * K(w,w \ x)) = w * ((a(y,z,u) * x) / w). [hyper(152,a,203,a(flip),b,289,a),rewrite([5326(10),12849(10),5300(10),682(9)]),flip(a)]. 27237 x * (a(y,z,u) * K(x,w)) = T(a(y,z,u) * x,w). [hyper(152,a,155,a(flip),b,289,a),rewrite([5271(8),682(7)]),flip(a)]. 27267 K(x * (a(y,z,u) * w),v5) = K(x * w,v5). [para(289(a,1),187(a,1,1)),rewrite([187(5),9700(4)]),flip(a)]. 27393 K(x,y) * (a(z,u,w) * x) = T(x * a(z,u,w),y). [hyper(507,a,174,a(flip),b,291,a),rewrite([5270(6)]),flip(a)]. 27478 T(x,T(a(y,z,u) \ w,v5)) = T(x,T(w,v5)). [para(291(a,1),14926(a,1,2)),rewrite([5278(7),10120(5),14926(5),5282(7)])]. 27490 (x * a(y,z,u)) / T(w,w \ x) = w \ (a(y,z,u) * x). [hyper(507,a,863,a,b,292,a),rewrite([5330(6),5284(6)])]. 27551 (a(x,y,z) * u) / T(w,w \ u) = w \ (a(x,y,z) * u). [para(292(a,1),863(a,1,2,2)),rewrite([5330(6),5284(6)])]. 27603 a(x,a(y,z,u) \ w,a(y,z,u)) = a(x,w,a(u,z,y)). [para(295(a,1),25(a,1,1,2)),rewrite([13119(7)]),flip(a)]. 27610 K(x \ 1,x) * a(y,z,u) = (x \ a(y,z,u)) * x. [para(1459(a,1),295(a,1,1)),rewrite([5269(3)])]. 27641 a(x,y,L(z,u,w)) * (a(x,y,z) \ v5) = a(x,y,z) * (a(x,y,L(z,u,w)) \ v5). [para(296(a,1),213(a,2,2,1)),rewrite([391(3),8871(2),8871(9),13195(10)])]. 27655 a(x,y,L(z,u,w)) \ a(x,y,z) = a(x,y,a(z,u,w)). [para(296(a,1),14423(a,2,2,1)),rewrite([5285(4),376(2),391(5),8871(2),4191(6),8200(6),13284(4),8871(7),13195(8),8866(7),13273(8)]),flip(a)]. 27658 L(x,y,z) * a(z,y,L(x,u,w)) = L(x,u,a(w,y,z)). [back_rewrite(13738),rewrite([27655(4),13597(3),9090(3)]),flip(a)]. 27659 a(x,y,a(z,u,a(x,y,z) * u)) = a(x,y,a(z,u,u)). [back_rewrite(13726),rewrite([27655(4)]),flip(a)]. 27660 x * a(y,z,a(x,u,w)) = L(x,u,a(w,z,y)). [back_rewrite(13497),rewrite([27655(4),27658(7)])]. 27664 (a(x,y,z) \ u) * (u \ a(x,y,z)) = a(x,y,a(z,u,u)). [back_rewrite(13366),rewrite([27659(9)])]. 27741 T(x,T(K(y,T(z,u)) * w,v5)) = T(x,T(K(z,y) * w,v5)). [hyper(507,a,23208,a,b,314,a),rewrite([5781(3),16052(5),12193(4),12193(9)]),flip(a)]. 27780 K(x * K(y / z,u),w) = K(x * K(z * y,u),w). [para(183(a,1),315(a,1,1,2)),rewrite([1562(4)]),flip(a)]. 27808 K(x,T(K(y,T(z,u)) * w,v5)) = K(x,T(K(y,z) * w,v5)). [para(316(a,1),14188(a,1,1,1,2)),rewrite([14188(7)]),flip(a)]. 27851 K(T(x,y) * (K(z,u) * y),w) = K(y * (K(z,u) * x),w). [para(209(a,1),318(a,2,1)),rewrite([12212(7),6169(9),9605(11),1105(8),682(8),475(10),763(8)])]. 27955 K(x,y * K(z,u * K(w,v5))) = K(x,y * K(z,u)). [para(18115(a,1),323(a,2,2,2)),rewrite([5676(6),18115(7),325(8),1449(7),20(2),325(11),1449(10),20(7)])]. 27956 K(x,y * (z * T(u,T(K(w,v5) * z,v6)))) = K(x,y * (u * z)). [para(257(a,1),323(a,2,2,2)),rewrite([5676(4),15451(4),327(12)])]. 27957 K(x,K(y,K(z,u) * w) * v5) = K(x,v5 * K(y,w)). [back_rewrite(26587),rewrite([27955(10)])]. 27959 K(x,K(K(y,z) * u,w) * v5) = K(x,v5 * K(w,u)). [back_rewrite(26423),rewrite([27957(10)])]. 27962 K(x,y * K(z * K(u,w),v5)) = K(x,y * K(v5,z)). [back_rewrite(26584),rewrite([27959(5)]),flip(a)]. 28081 T(x,y * (T(z,K(u,w)) * v5)) = T(x,y * (z * v5)). [hyper(152,a,226,a(flip),b,332,a),rewrite([5292(5),334(9),226(10),5292(8)])]. 28082 T(x,y * (z * T(u,w * K(v5,v6)))) = T(x,y * (z * T(u,w))). [para(30(a,1),332(a,1,2,2,2)),rewrite([5781(3)])]. 28094 K((x * T(y,K(z,u))) / w,T(v5,v6)) = K(y * (w \ x),T(v5,v6 * x)). [para(332(a,1),16771(a,1,2)),rewrite([5297(8),321(8),15020(6)]),flip(a)]. 28285 K(x,y) * (z \ K(u,K(x,y) * z)) = T(z * K(y,x),u) \ 1. [para(340(a,2),231(a,2,2)),rewrite([774(11)]),flip(a)]. 28349 K(x,T(y,T(z,u)) * w) = K(x,T(y,z) * w). [para(349(a,1),235(a,1,2,1)),rewrite([604(6),235(5)]),flip(a)]. 28497 K(T(x,K(y,z)) \ u,w) = K(x \ u,w). [hyper(507,a,248,a(flip),b,359,a),rewrite([248(7)]),flip(a)]. 28561 K(x,L(T(y,K(z,u)),w,v5) / v6) = K(x,L(y,w,v5) / v6). [para(31(a,1),361(a,1,2,1))]. 28603 T(x,y / T(z,u * K(w,v5))) = T(x,y / T(z,u)). [para(30(a,1),362(a,1,2,2)),rewrite([5781(3)])]. 28616 T(x,y / (z * K(u,w))) = T(x,y * (z \ K(w,u))). [para(503(a,1),362(a,1,2,2)),rewrite([1104(2),1863(3),7131(4),1105(6)]),flip(a)]. 28619 K((x \ y) * z,T(u,x)) = K(y * (T(z,K(w,v5)) / x),u). [para(362(a,1),1577(a,1,2)),rewrite([12663(7),7352(7),23087(7),321(6),7070(9)])]. 28620 K((x \ y) * z,T(u,x)) = K(y * (z / x),u). [para(362(a,2),1577(a,1,2)),rewrite([362(6),12663(5),7352(5),10189(5),7070(7)])]. 28627 K(x,T(y * (z / u),z * u)) = K(x,z * (u \ y)). [para(362(a,2),482(a,1,2)),rewrite([362(6),12663(5),5347(8)])]. 28652 K(x,T(y,z * (u \ w))) = K(x,T(y,z * (u * w))). [para(362(a,2),19919(a,1,2,1,2,2)),rewrite([362(5),12663(4),19919(7),5292(3),7131(7)]),flip(a)]. 28654 T(x,y * T(z,u / w)) = T(x,y * T(z,w * u)). [para(362(a,1),23208(a,1,2,1)),rewrite([1319(5),23208(5),362(8)]),flip(a)]. 28667 K(x * (T(y,K(z,u)) / w),v5) = K(x * (y / w),v5). [back_rewrite(28619),rewrite([28620(4)]),flip(a)]. 28776 K(x \ (L(y,z,u) \ w),v5) = K(x \ (y \ w),v5). [para(276(a,1),370(a,1,1,1)),rewrite([5546(6),12663(6),5900(6),5428(6),7871(5),4599(4),248(4),5791(3),276(6)]),flip(a)]. 28806 K(T(x,K(y,z) * u) * w,v5) = K(T(x,u) * w,v5). [para(168(a,1),392(a,1,1,2)),rewrite([392(6),12212(5)]),flip(a)]. 28813 K(T(x,y) * z,u / x) = K(z * T(x,y),x \ u). [para(503(a,1),392(a,1,2)),flip(a)]. 28818 K(x * T(y \ z,u),T(w,z * y)) = K(T(y \ z,u) * x,w). [para(1576(a,1),392(a,1,1,2)),rewrite([396(7),12663(6),1576(9)])]. 28826 K(x * T(y / z,u),T(w,y * z)) = K(T(y / z,T(u,z)) * x,w). [para(3356(a,2),392(a,1,1,2)),rewrite([3356(4),12663(7),605(7)])]. 28843 K(T(1 / x,y) * z,u) = K(T(x,y) \ z,u). [para(1098(a,1),392(a,1,2)),rewrite([1787(8),19(6),1078(6),9840(4)]),flip(a)]. 28863 K(T(x,y) * z,T(u,x * w)) = K(z * T(x,y),T(u,w)). [para(23826(a,2),392(a,1,2)),rewrite([23826(6),5795(7),407(7),1579(5),12986(10)]),flip(a)]. 28864 K(T(T(x,y),z) * u,T(w,x)) = K(u * T(T(x,y),z),w). [para(21587(a,1),392(a,1,2)),rewrite([5795(6),407(6),396(10)]),flip(a)]. 28871 K(x * (y * L(z,u,w)),T(v5,y * z)) = K(y * (L(z,u,w) * x),v5). [para(272(a,2),392(a,1,1,2)),rewrite([272(4),5544(8),321(8),4827(12),6357(10)])]. 28875 K(T(x / y,T(z,y)) * u,w) = K(T(x / y,z) * u,w). [para(362(a,2),392(a,1,2)),rewrite([362(7),12663(6),28826(6)])]. 28880 K(x * T(y / z,u),T(w,y * z)) = K(T(y / z,u) * x,w). [back_rewrite(28826),rewrite([28875(11)])]. 28982 K(x * (y * L(z,u,w)),v5) = K(x * (y * z),v5). [para(272(a,2),394(a,1,1,1)),rewrite([272(4),5544(8),4827(8),6357(6),24056(6),6357(5),5429(5),475(4),6357(3),321(9)]),flip(a)]. 28989 K(x * (L(y,z,u) * w),v5) = K(x * (y * w),v5). [back_rewrite(28871),rewrite([28982(6),187(5),6357(3)]),flip(a)]. 28996 K(x,y * T(x,z)) = K(x,x * y). [hyper(152,a,614,a(flip),b,395,a),rewrite([2783(3)]),flip(a)]. 29008 K(x,T(T(T(y,z),u) * w,y)) = K(x,w * T(T(y,u),z)). [para(30(a,1),395(a,1,2,1,1)),rewrite([396(6)])]. 29020 K(x,T(T((y * z) / y,u) * w,z)) = K(x,w * T(z * K(y,z),u)). [para(4148(a,1),395(a,2,2,2)),rewrite([14019(7),396(7)])]. 29041 K(x,T(L(y,z,u) * (w * v5),y)) = K(x,w * (v5 * L(y,z,u))). [para(272(a,2),395(a,1,2,1,1)),rewrite([272(4),5544(8),23384(8),6760(6),10191(6),6760(5),327(11)])]. 29085 T((x * x) * (y / (x * x)),z) = T(y * K(x * x,y),z). [para(398(a,1),153(a,2,2)),rewrite([229(5),5724(4),11584(9)])]. 29275 K(x,y \ K(z * z,u)) = K(x,y \ 1). [hyper(507,a,1097,a,b,403,a),rewrite([1097(3),2141(8)]),flip(a)]. 29319 T(x,K(y,z)) * T(u,x * K(y,z)) = T(u * x,K(y,z)). [hyper(735,a,409,a)]. 29320 K(x,y) * (z \ T(u * (K(y,x) * z),K(x,y))) = T(u,z). [hyper(507,a,14926,a(flip),b,409,a),rewrite([365(3),1104(3),12643(5),1104(5),774(9)]),flip(a)]. 29449 K(x / (y * (z * K(u,w))),v5) = K(K(w,u) * (x / (y * z)),v5). [para(3516(a,2),414(a,1,1,2)),rewrite([12605(2)])]. 29471 K(x * (y / T(z,y)),u) = K(x * (z \ y),u). [para(14288(a,1),414(a,1,1,2)),rewrite([7070(5),13031(5),503(2),12750(3),1425(9),2235(9),13029(8)]),flip(a)]. 29589 T(x * K(y,z),K(y,z) * (x * K(u,w))) = T(x * K(y,z),K(u,w)). [para(417(a,1),992(a,1,2)),rewrite([418(4),365(9),5781(7),682(6),418(11)])]. 29647 T(x,K(y,z) * u) * K(w,v5) = T(T(x,u) * K(w,v5),K(z,y)). [para(14181(a,2),418(a,1,1)),rewrite([5676(5),15001(6),15567(6)])]. 29662 K(x,T(T(y,K(z,u)) \ w,v5)) = K(x,T(y \ w,v5)). [hyper(152,a,853,a(flip),b,429,a),rewrite([853(8)])]. 29671 T(x,K(y,z)) * (u / T(x,K(y,z))) = x * (u / x). [para(429(a,1),203(a,1,2)),rewrite([853(4),367(4),203(3)]),flip(a)]. 29687 T((T(x,K(y,z)) \ u) * K(w,x \ u),w) = T(x,K(y,z)) \ u. [para(429(a,1),241(a,1,1,2))]. 29744 K(x,T(y,z)) * (u * K(x,y)) = K(x,y) * (u * K(x,T(y,z))). [para(431(a,1),502(a,1,2)),rewrite([682(10)]),flip(a)]. 29789 K(x,y * (z * (K(u,T(w,v5)) * v6))) = K(x,y * (z * (v6 * K(u,w)))). [para(431(a,1),323(a,1,2,2,2)),rewrite([24601(6)]),flip(a)]. 29790 T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (v5 * K(z,u))). [para(431(a,1),334(a,1,2,2)),rewrite([24547(5)]),flip(a)]. 29833 K((x \ y) * z,T(u,x * y)) = K(z * (x \ y),u). [para(432(a,2),1577(a,1,2)),rewrite([432(6),1787(5),12820(5),12750(8)])]. 29843 T(x,T(y,K(z,u) * w) \ v5) = T(x,T(y,w) \ v5). [para(14140(a,2),432(a,1,2,1)),rewrite([14140(5),5676(4),15451(4),9949(6),9949(9)])]. 29889 T(x,K(y,z) * (T(z,u) \ w)) = T(x,T(z,y * u) \ w). [para(30(a,1),434(a,2,2,1)),rewrite([853(4),9660(6),11300(9)])]. 29900 T(x,(y \ (z \ u)) * K(y * z,w)) = T(x,T(z * y,w) \ u). [para(187(a,1),434(a,1,2,2)),rewrite([10120(6),9949(11)])]. 29939 T(x,T(y * z,z) \ u) = T(x,y \ (z \ u)). [para(980(a,1),434(a,1,2,2)),rewrite([980(4,R),14580(6),896(4),502(2),1007(3)]),flip(a)]. 29940 T(x,T(y * z,y) \ u) = T(x,y \ (z \ u)). [para(980(a,2),434(a,1,2,2)),rewrite([980(4),14581(6),13621(4),365(5),1007(3)]),flip(a)]. 29959 T(x,T(y \ K(z,u),w) \ v5) = T(x,K(u,z) * (T(y,w) * v5)). [para(23670(a,2),434(a,1,2,2)),rewrite([23670(6),1523(8),15837(8),11897(6),1104(3),928(4),1723(5)]),flip(a)]. 29981 T(x,T(K(y,z) * (y \ u),w)) = T(x,T(T(y,z) \ u,w)). [hyper(152,a,14019,a,b,435,a),rewrite([6169(5),28616(6),5292(6),25617(6),15451(5)])]. 30043 K(x,(T(y,z) \ u) * K(y,w)) = K(x,T(T(y,w),z) \ u). [para(30(a,1),436(a,2,2,1)),rewrite([853(4),325(6)])]. 30047 K(x,K(y,z) * (T(z,u) \ w)) = K(x,T(T(z,u),y) \ w). [para(163(a,1),436(a,2,2,1)),rewrite([853(5),5795(5),407(5),30043(5),923(8),12215(8)]),flip(a)]. 30086 K(x,y \ (T(z,y) \ u)) = K(x,z \ (y \ u)). [para(980(a,2),436(a,1,2,2)),rewrite([980(4),26573(6),10366(5),3611(4),2283(8)])]. 30105 K(x,T(y \ K(z,u),w) \ v5) = K(x,K(u,z) * (T(y,w) * v5)). [para(23670(a,2),436(a,1,2,2)),rewrite([23670(6),1449(8),27962(8),11243(6),1104(2),928(5),1643(6)]),flip(a)]. 30112 K(x,T(y,z) * (u * K(y,w))) = K(x,K(y,z) * (T(y,w) * u)). [para(23990(a,1),436(a,2,2,1)),rewrite([16096(9),979(8),3438(8),325(10),1449(9),20(6),11243(7),373(3),30105(10)])]. 30141 K(x,(y \ z) * z) = K(x,z * (z / y)). [para(200(a,1),437(a,1,2)),rewrite([2170(4),12942(3),5326(6)]),flip(a)]. 30199 T(x,y) * K(z,u * u) = T(x * K(z,u * u),y). [para(405(a,1),472(a,2,2)),rewrite([1824(4),2299(5)])]. 30255 L(T(x,y),z,u) * a(w,v5,v6) = T(a(w,v5,v6) * L(x,z,u),y). [para(304(a,1),472(a,2,1)),rewrite([5434(4),5271(3),752(5),300(9)])]. 30303 T(x * K(y * z,u),z) * w = T(x,z) * (K(z * y,u) * w). [para(1685(a,1),3514(a,1,1)),rewrite([927(8),302(7)])]. 30335 T(x,T(y,z)) * K(y,u) = T(x * K(y,u),T(y,z)). [para(14887(a,1),1685(a,2,1,2,1)),rewrite([19971(6),980(4),3742(6),12612(4),12612(6)])]. 30634 T(x / (x / y),T(z,u * y)) = T(x / (x / y),T(z,u)). [hyper(507,a,14926,a(flip),b,3734,a),rewrite([20233(10)]),flip(a)]. 30655 K(x,y) * ((z / (z / y)) * x) = (z / (z / y)) * T(x,y). [para(3734(a,1),502(a,1,2)),rewrite([3618(5)])]. 30829 K(x,y) / (z * K(u,w)) = K(x,y) * (K(w,u) / z). [para(418(a,2),4064(a,1,2)),rewrite([866(4),356(4),418(6),13630(7),1625(5),3095(6),5676(11),2722(11),405(10)]),flip(a)]. 31019 K(T(1 / x,y) \ z,u) = K(T(x,y) * z,u). [para(4707(a,1),392(a,1,1,2)),rewrite([5336(10),375(8),19(7),2019(7),7070(5),1105(2),155(2),392(4),28843(10)]),flip(a)]. 31128 (T(x * x,y) * z) / u = T(x * x,y) * (z / u). [hyper(123,a,4594,a,b,3127,a(flip)),rewrite([54(4),5724(5),2299(6)]),flip(a)]. 31275 L(T(x,x \ y),z,u) * w = L((x \ y) \ y,z,u) * w. [para(4706(a,2),4709(a,1,2,1)),rewrite([15937(5)])]. 31276 K(x,T(L(y,z,u) * w,y)) = K(x,w * y). [para(4709(a,1),482(a,1,2,1)),rewrite([298(5),396(5),5320(8),235(7)])]. 31315 K(K(x,y) * (z / L(u,w,v5)),v6) = K(K(x,y) * (z / u),v6). [para(4709(a,2),414(a,1,1,2)),rewrite([4709(5),677(3),5432(5),414(4)]),flip(a)]. 31321 K(x,y * (z * L(u,w,v5))) = K(x,y * (z * u)). [back_rewrite(29041),rewrite([31276(5),7351(3)]),flip(a)]. 31344 x * (y * K(x * (z \ y),z)) = (z \ (x * y)) * z. [hyper(152,a,3516,a,b,1582,a),rewrite([5297(3),22503(3),12605(4),5297(3),22503(3)])]. 31353 ((x * x) \ (y \ (x * x))) * y = K(x * (y \ x),y). [hyper(123,a,4594,a,b,1582,a),rewrite([5297(8),6626(8),6862(8)])]. 31359 (T(x,y) \ z) * T(x,y) = z * K(x \ z,T(x,y)). [para(177(a,2),1582(a,1,2)),rewrite([177(5),10198(4),2405(3)]),flip(a)]. 31370 ((x \ y) * x) \ ((x \ y) * z) = L(x \ z,x,y * x). [para(1582(a,2),3515(a,2,1)),rewrite([8303(3),1582(6)]),flip(a)]. 31390 (T(x,K(y,z)) \ u) * T(x,K(y,z)) = (x \ u) * x. [para(367(a,1),1582(a,1,2)),rewrite([2553(4),1582(3)]),flip(a)]. 31419 x * K(K(y,z) * (u \ x),K(z,y) * u) = T((u \ x) * u,K(z,y)). [para(270(a,2),1582(a,1,2)),rewrite([774(3),774(10),928(13),3081(13),749(11)])]. 31434 x * K(y * (z \ x),z / y) = ((z / y) \ x) * (z / y). [para(360(a,2),1582(a,1,2)),rewrite([360(6),7352(4)])]. 31767 (x / (x / y)) \ K(y,y \ 1) = 1 / (x / (x / y)). [para(4710(a,1),865(a,1,2,2)),rewrite([7070(8),474(8),22530(7)])]. 31798 (x / (x * x)) \ 1 = L(x,x,x). [para(17314(a,1),4710(a,1,1,2)),rewrite([5325(12),373(10),483(10),3415(10),20(8),2140(9),155(7),627(6)])]. 31878 x \ a(y,z,L(u,x,x)) = a(y,z,u) * (x \ 1). [para(303(a,1),5508(a,2,1)),rewrite([13333(5),303(3)])]. 31893 K(x \ 1,x) * T(y,z) = T(y * K(x \ 1,x),z). [para(13770(a,1),5508(a,1,2,1,2,2)),rewrite([859(3),859(6),3096(11),1742(7),19(5),380(4),378(5),1104(5),859(9),1104(11),20(11),4289(10)])]. 31955 K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). [para(349(a,1),469(a,1,1,1)),rewrite([605(6),469(5)]),flip(a)]. 31978 K(T(x \ y,x) * z,u) = K(y * (x \ z),u). [para(4059(a,2),475(a,1,1)),rewrite([2346(6),1787(6),5206(6),28863(6),10537(5),29471(8)])]. 31985 K(x * (y \ z),T(y,u * z)) = K((y \ z) * x,T(y,u)). [para(14195(a,1),475(a,1,2)),rewrite([14052(10)]),flip(a)]. 32261 T(K(x,y) / T(z,u),z) = T(z,u) \ K(x,y). [hyper(507,a,18096,a,b,1584,a),rewrite([2141(5),1787(7),861(5),192(6),396(6),1500(8),679(7),3014(7)]),flip(a)]. 32277 K(x,y) * ((z * z) * u) = (z * z) * (K(x,y) * u). [para(1584(a,2),14(a,1,1)),rewrite([407(3),928(4)])]. 32317 x * (K(y,z) * T(z,x)) = z * (x * K(y,z)). [para(976(a,2),1584(a,1,1,2)),rewrite([976(2),1941(3),11126(4),682(7)])]. 32396 ((x \ K(y,x)) / z) \ (T(x,y) \ 1) = z. [hyper(507,a,492,a(flip),b,4711,a),flip(a)]. 32620 a(x,(y * y) * (T(z,u) \ 1),w) = a(x,z \ (y * y),w). [para(4712(a,1),5961(a,2,2)),rewrite([5961(15),21115(11)])]. 32751 K(x,T(y,z)) / (K(x,T(y,z)) / y) = 1 / (1 / y). [para(3371(a,2),166(a,2,2,1)),rewrite([2553(11),1473(10)])]. 32888 K(x \ y,T(x / y,z)) = K(x \ y,y \ x). [hyper(152,a,12984,a(flip),b,1586,a),rewrite([12820(6),20(3),12820(9),20(7)])]. 32890 K(x \ y,x / y) = K(x \ y,y \ x). [para(503(a,1),1586(a,1,2)),rewrite([7352(5),2020(5),25934(3),7352(8),2020(8),18404(6)])]. 32915 T(T(x,y),z) \ T(T(u / (u / x),y),z) = K(x \ u,T(x,y * z)). [para(30(a,1),9992(a,2,2)),rewrite([60(5),5795(12),23180(12)])]. 33007 K(x,y) * (K(z,u) / y) = K(z,u) / T(y,x). [hyper(507,a,14300,a(flip),b,1587,a),rewrite([2143(5),639(8),1787(9),861(7),192(8),396(8),10784(8),30829(7)]),flip(a)]. 33008 T(x,y) \ K(z,T(u,x)) = K(z,u) * (x \ K(y,x)). [hyper(507,a,4712,a(flip),b,1587,a),rewrite([3360(11),396(12),1787(11),19(9),2141(10)]),flip(a)]. 33021 L(x \ K(y,T(z,u)),x,u) = (u * x) \ (K(y,z) * u). [para(1587(a,1),3515(a,2,2))]. 33026 K(x,T(y / z,u)) * z = z * K(x,T(z \ y,u)). [para(1576(a,1),1587(a,1,2,2)),flip(a)]. 33074 (x \ K(y,x)) * K(z,u) = T(x,y) \ K(z,u). [back_rewrite(22575),rewrite([33008(4),3706(6)])]. 33308 T(x,T(T(y,z) \ u,y)) = T(x,u / T(y,z)). [hyper(152,a,435,a,b,1591,a),rewrite([10690(5),29981(5)])]. 33314 T(x / T(y \ z,y),z / y) = T(y \ z,y) \ x. [hyper(152,a,503,a(flip),b,1591,a),flip(a)]. 33319 T(x,T((y \ z) * K(u,w),y)) = T(x,z * (y \ K(u,w))). [para(168(a,2),1591(a,1,2)),rewrite([774(3),12216(6),28616(9)])]. 33413 1 / (K(x \ y,x) / (x \ y)) = 1 / (1 / (y / x)). [para(4715(a,1),166(a,1,2)),rewrite([6382(6),4717(11),12820(12),20(10),32890(10),4307(11)])]. 33468 K(x \ y,z) * ((y \ x) \ 1) = T((y \ x) \ 1,z). [para(4715(a,1),14944(a,1,1,1)),rewrite([12750(4),19(3),4717(6),4717(10),23128(12),24871(12)])]. 33518 a(x \ y,(x \ y) \ 1,z) = a(x \ y,y \ x,z). [para(4716(a,1),5970(a,1,1,2,1)),rewrite([3889(10),3866(6),919(5),903(5),9150(5),9237(4),4716(8),10142(8)]),flip(a)]. 33581 (T(x * x,y) \ z) \ K(z,x * x) = (z / T(x * x,y)) \ 1. [para(401(a,2),4716(a,1,2)),rewrite([402(9),19859(8),2553(8),5791(7),3415(7),22(5)])]. 33582 K(x,y * y) * (x \ (y * y)) = (x / (y * y)) \ 1. [para(402(a,2),4716(a,1,2)),rewrite([402(7),5791(6),3415(6),22(4),5728(5),682(4),683(5),3216(5)])]. 33629 T(T(x,x \ y),x \ (x \ y)) = (x \ (x \ y)) \ (y / x). [para(4139(a,1),741(a,1,2)),rewrite([4139(9)])]. 33652 T(x,x \ y) \ ((x * (y / x)) / x) = x \ (y / x). [para(14288(a,2),4139(a,1,2)),rewrite([21(3),869(2),14288(6),21(9)])]. 34011 K(x,T(y,z) * T(z \ y,u)) = K(x,y * T(y / z,u)). [para(5407(a,1),482(a,1,2,1)),rewrite([602(8),22(5),482(5),7351(10),5864(8),13060(10)]),flip(a)]. 34012 K(x,T(y / z,u) * y) = K(x,y * T(z \ y,u)). [para(5407(a,1),482(a,2,2)),rewrite([12663(8),28627(8),21(4)]),flip(a)]. 34066 T(x,K(y,z * (z / u))) = T(x,K(y,z * (u \ z))). [para(5407(a,1),336(a,1,2,2)),rewrite([34012(4),23209(5),7351(10),5864(8),13060(10),34011(9),23209(9)]),flip(a)]. 34098 L(T(x,y),z,u) * (y * L(x,z,u)) = L(x,z,u) * (L(x,z,u) * y). [para(31(a,1),1593(a,1,1))]. 34099 R(T(x,y),z,u) * (y * R(x,z,u)) = R(x,z,u) * (R(x,z,u) * y). [para(32(a,1),1593(a,1,1))]. 34123 (x * (y * z)) / (y * (y * z)) = R(x / y,y,y * z). [para(1593(a,2),3517(a,2,2)),rewrite([1593(8)]),flip(a)]. 34279 T(x / y,T(x \ z,y)) = T(x / y,z / x). [hyper(507,a,1591,a(flip),b,4718,a),flip(a)]. 34501 K(x / y,y / z) = K(y \ x,z \ y). [hyper(152,a,1577,a(flip),b,1695,a)]. 34507 K(x / y,z \ x) = K(y \ x,x / z). [hyper(152,a,248,a(flip),b,1695,a),flip(a)]. 34584 K(x \ (y \ z),T(y,z * u)) = K(y \ (z / x),T(y,u)). [para(4706(a,1),1696(a,1,2)),rewrite([13592(6),16876(6),5900(9)])]. 34597 K(x \ (y / z),T(x,u * y)) = K(z \ (x \ y),T(x,u)). [para(14195(a,1),1696(a,1,2)),rewrite([14052(10),5900(9)]),flip(a)]. 34622 K(x * (y \ K(z,T(u,w))),v5) = K(K(z,u) * (x / y),v5). [para(314(a,1),1696(a,1,2)),rewrite([357(8),5297(6),187(6),762(9),316(10)])]. 34654 K(x / T(y / (y / z),u),T(w,z)) = K(T(y / (y / z),u) \ x,w). [para(60(a,2),9840(a,1,1,2)),rewrite([60(3),5336(7),521(7),396(7)])]. 34677 K((x \ (x / y)) * z,u) = K(y \ z,u). [para(4704(a,1),9840(a,2,1,1)),rewrite([5336(7),521(7),396(7),34654(6),12810(5),7352(9),5206(9),12817(9),5296(8)])]. 34929 ((x * y) / x) * y = y * ((x * y) / x). [hyper(152,a,14446,a(flip),b,5400,a),rewrite([21(4),1707(3),21(4),21(5),21(7),496(7),20(7)])]. 34969 (x \ y) * ((x * (y / x)) / x) = (y / x) * (y / x). [para(14288(a,1),5400(a,2,2)),rewrite([153(5,R),22(3)]),flip(a)]. 35011 T(T(x,y) \ z,T(x,y)) \ z = T(T(x \ z,x) \ z,y). [hyper(152,a,4595,a,b,7358,a),rewrite([2426(3),10407(5),7358(4)]),flip(a)]. 35014 T(T(T(x,y),x \ z),x \ z) = T(T(x \ z,x) \ z,y). [hyper(152,a,434,a,b,7358,a),rewrite([10407(4),434(7),16886(6),35011(10)])]. 35283 T(x / y,x \ y) \ K(y,y \ x) = T((y \ x) \ 1,x / y). [para(4717(a,1),1699(a,1,1,2)),rewrite([12923(5),20(4),4717(10)])]. 35402 T(x,y * (z \ T(u,z))) = T(x,y * (u / z)). [para(1700(a,1),23208(a,2,2,2)),rewrite([10667(4),226(5),12909(8)])]. 35429 K(x * (T(y,z) \ z),u) = K(x * (z / y),u). [para(1700(a,1),394(a,1,1,1)),rewrite([2346(6),1787(6),12762(6),24056(5),28620(4),1700(6)]),flip(a)]. 35467 K(x / (y * (z \ 1)),u) = K(x * (z / y),u). [back_rewrite(12756),rewrite([35429(9)])]. 35473 K(x * (T(y,x) / z),u) = K(y * (x / z),u). [back_rewrite(2157),rewrite([35467(5)]),flip(a)]. 35518 T(x * (K(y,x) * z),K(x,y)) = x * (z * K(y,x)). [para(1578(a,1),4720(a,1,1)),rewrite([6265(6),330(5),1104(5),417(5),3485(3),6265(9),1104(9),853(7),11126(9),32317(9)])]. 35615 T(x,K(y,z) * (u \ ((u \ z) \ w))) = T(x,T((u \ z) * u,y) \ w). [para(1702(a,1),434(a,1,2,2)),rewrite([9660(7),12164(6)])]. 35686 K(x,y * (L(z,u,w) * v5)) = K(x,y * (z * v5)). [para(3129(a,1),323(a,2,2,2)),rewrite([31(5),5676(4),15451(4),31321(8),27956(7),327(9)]),flip(a)]. 35732 x \ (K(y,z) * a(u,w,v5)) = (x \ a(u,w,v5)) * K(y,z). [para(4822(a,2),292(a,2,2)),rewrite([679(4),18(9),378(9)]),flip(a)]. 35826 T(T(x,y),z) * T(z,T(x,y * u)) = T(T(x,y) * z,K(x,u)). [para(30(a,1),7165(a,1,2,2)),rewrite([5904(5),853(10),330(11)])]. 35844 T(x \ y,z) * T(z,y / x) = T((x \ y) * z,K(x,y)). [para(1459(a,2),7165(a,2,2)),rewrite([1591(5),1459(10),749(10),1742(10),991(9),2315(10)])]. 35878 T(x * y,z) * T(z,y * x) = T((x * y) * z,K(x,y)). [para(980(a,1),7165(a,2,2)),rewrite([268(5),980(9,R),749(10),18521(10)])]. 35923 T(x * (y * y),K(x,z)) = x * (y * y). [para(400(a,2),7165(a,1,1)),rewrite([400(3),26329(5),3618(5),3485(5),174(4),502(4)]),flip(a)]. 35975 T(x / y,z) * K(y \ x,y) = T(y \ x,T(z,y)). [para(503(a,1),3851(a,2,2)),rewrite([864(4),14944(9)])]. 36166 K(x \ y,x) * (T(y / x,z) * u) = T(x \ y,T(z,x)) * u. [para(548(a,1),3514(a,1,1)),rewrite([301(8)]),flip(a)]. 36212 K(x,x \ y) * T(x,T(z,y)) = T(T(x,x \ y),z). [hyper(507,a,869,a,b,4823,a),rewrite([869(4),10407(4),2784(6),2781(8),1779(8),2433(8)]),flip(a)]. 36233 T(T(x,y),z) \ (K(x,z) * u) = T(x,T(y,z)) \ u. [para(4823(a,1),3515(a,2,1)),rewrite([301(7)]),flip(a)]. 36316 T(T(x,y),T(z,y)) \ u = K(z,x) * (T(x,y) \ u). [hyper(150,a,3086,a),rewrite([923(8),12215(8)])]. 36513 x \ (a(x,y,y) \ z) = R(x,y,y) \ z. [hyper(129,a,9230,a(flip),b,5758,a(flip)),rewrite([9235(5)])]. 36514 (a(x,x,y) * y) \ z = y \ (a(x,x,y) \ z). [hyper(129,a,9229,a(flip),b,5758,a(flip)),flip(a)]. 36515 (a(x,y,z) * (u * u)) \ w = (u * u) \ (a(x,y,z) \ w). [hyper(129,a,978,a(flip),b,5758,a(flip)),flip(a)]. 36548 T((x * y) \ z,y \ (x \ z)) = (x * y) \ z. [para(379(a,1),5758(a,1,1)),rewrite([3869(3)]),flip(a)]. 36648 ((x \ y) * x) / (y / x) = y / ((x * (y / x)) / x). [para(4040(a,2),166(a,1,2)),rewrite([492(9),244(10),492(9),864(8),20855(9)]),flip(a)]. 36730 ((x * (y / x)) / x) \ x = (y / x) \ (y / (y / x)). [para(4040(a,2),4720(a,1,1)),rewrite([492(8),503(7),492(5),492(7)])]. 36737 (T(x \ y,x) * x) / (x \ y) = y / ((x * (y / x)) / x). [back_rewrite(21770),rewrite([36648(9)])]. 36813 T(T(x,y),T(x,z) * u) = T(T(x,x * u),y). [para(1094(a,1),522(a,1,2)),rewrite([853(4),10663(6),28996(3),174(3),1094(6)]),flip(a)]. 36823 T(T(x,y),z) * K(u,T(x,z * w)) = T(T(x,y) * K(u,T(x,w)),z). [para(522(a,2),19890(a,2,1,2,2)),rewrite([5292(6),5795(7),5292(6),12434(6),11781(7),522(11),5795(11),5292(10),5796(11)])]. 36861 K(T(x,y) \ z,T(x,u)) = K(x \ z,T(x,u)). [para(522(a,2),9992(a,1,1)),rewrite([522(4),60(6),32915(9),1785(5),5795(9),5292(8),5796(9)]),flip(a)]. 36947 T(x,T((y \ z) * u,y)) = T(x,z * (u / y)). [para(362(a,2),477(a,1,2)),rewrite([362(6),23128(5),12291(5),24464(5)])]. 36964 K((x * y) / z,u) = K(x * (y / z),u). [para(477(a,1),1696(a,1,2)),rewrite([12811(6),14127(5),13694(4),13028(7)])]. 36969 T(x,y * (K(z,u) / w)) = T(x,y * (w \ K(z,u))). [back_rewrite(33319),rewrite([36947(5)])]. 36991 K(x * (y \ z),T(u,w * z)) = K(z * (x / y),T(u,w)). [back_rewrite(28094),rewrite([36964(6),28667(6)]),flip(a)]. 37022 K(x / T(y \ z,z),u) = K(x * (y / z),u). [back_rewrite(1041),rewrite([36964(7)])]. 37028 K((x \ y) * z,T(x,u)) = K(y * (z / x),T(x,u)). [back_rewrite(31985),rewrite([36991(5)]),flip(a)]. 37194 T(x,T(y * T(T(z,u),w),z)) = T(x,T(T(z,u),w) * y). [hyper(152,a,349,a(flip),b,9943,a)]. 37201 T(x,T(y * T(z / (z / u),w),u)) = T(x,T(z / (z / u),w) * y). [para(60(a,2),9943(a,1,2,1,2)),rewrite([60(3),5336(7),521(7),349(7)])]. 37205 T(x,K(y,z) * (T(y,u) * w)) = T(x,T(T(y,u),z) * w). [para(163(a,1),9943(a,2,2,1)),rewrite([349(7),37194(6),9958(5),928(8)]),flip(a)]. 37220 T(x,T((y * z) / y,u) * w) = T(x,T(z * K(y,z),u) * w). [para(4148(a,1),9943(a,1,2,1,2)),rewrite([14019(7),349(7),26467(6)]),flip(a)]. 37226 T(x,T(T(y,z),y * u) * w) = T(x,T((y \ u) \ u,z) * w). [para(4706(a,1),9943(a,2,2,1)),rewrite([349(7),37194(6),1600(5)])]. 37240 T(x,T(y * (T(z,u) * w),z * w)) = T(x,T(z,u) * (w * y)). [para(9943(a,2),268(a,1,2)),rewrite([9943(7),9959(7),5292(10)])]. 37243 T(x,T(y * T(z / u,w),u * z)) = T(x,T(z / u,w) * y). [para(362(a,2),9943(a,1,2)),rewrite([362(7),23128(6)])]. 37246 T(x,T(1 / y,z) \ u) = T(x,T(y,z) * u). [para(4707(a,1),9943(a,2,2,1)),rewrite([5336(11),375(9),19(8),37201(8),1082(7),7131(11),19(10),5328(9),1104(7),2188(8)])]. 37311 x \ T(x * ((x * x) \ 1),y) = (x \ 1) * T(1 / x,y). [para(4824(a,1),5508(a,1,2,1,2)),rewrite([3513(5),16800(12)])]. 37428 K(x,K(y,z) * (T(y,u) * w)) = K(x,T(T(y,z),u) * w). [para(4825(a,2),436(a,2,2,1)),rewrite([1449(8),179(6),325(7),11243(6),1104(2),174(2),30112(5),1142(11)])]. 37464 a(x,y,z) \ (u * T(u \ w,v5)) = u * T(u \ (a(x,y,z) \ w),v5). [hyper(294,a,4810,a),rewrite([5264(7),295(6),299(7)])]. 37468 x * (y * T(y \ (x \ z),x)) = y * ((x \ (y \ z)) * x). [para(502(a,1),4810(a,1,1)),rewrite([4265(4)]),flip(a)]. 37491 (T(x * x,y) \ 1) * z = T(x * x,y) \ z. [hyper(507,a,18096,a,b,5876,a),rewrite([2425(10)])]. 37492 (((x * x) \ y) * z) * L(u,z,y) = ((x * x) \ y) * (z * u). [hyper(507,a,3514,a,b,5876,a),rewrite([3389(6),5876(9)])]. 37500 (x * x) \ T(y,K(z,u)) = T((x * x) \ y,K(z,u)). [hyper(507,a,13898,a(flip),b,5876,a),rewrite([1010(8),5902(9),16960(8),348(8),46(7),45(7),155(8)]),flip(a)]. 37501 ((x * x) \ K(y,z)) * u = K(y,z) * ((x * x) \ u). [hyper(507,a,1587,a(flip),b,5876,a),rewrite([1007(8),1787(9),14926(8),396(8),1587(8),5876(8)]),flip(a)]. 37509 ((x * x) \ y) * ((y \ (x * x)) * z) = L(z,y \ (x * x),y). [hyper(152,a,5967,a(flip),b,5876,a),flip(a)]. 37512 ((x * x) \ y) * (y \ z) = (x * x) \ z. [para(22(a,1),5876(a,1,2)),flip(a)]. 37545 (x * T(T(x,y),y)) \ (z * u) = ((x * T(T(x,y),y)) \ z) * u. [para(1575(a,2),5876(a,1,1)),rewrite([495(3),4044(3),4044(8)])]. 37590 (x * L(L(x,y,z),y,z)) \ (u * w) = ((x * L(L(x,y,z),y,z)) \ u) * w. [para(275(a,2),5876(a,1,1)),rewrite([31(3),379(2),9130(3),9130(8)])]. 37646 (T(x * x,y) * z) * u = T(x * x,y) * (z * u). [para(54(a,1),5726(a,1,2,1,1)),rewrite([928(5),2188(6)]),flip(a)]. 37658 ((((x * x) \ y) * z) * u) \ w = ((y * z) * u) \ ((x * x) * w). [para(5726(a,1),3515(a,2,1)),rewrite([497(11)])]. 37710 T(x * (x * y),x * x) = L(y,x,x) * (x * x). [hyper(123,a,502,a,b,5835,a)]. 37712 (x * (x * y)) * (L(y,x,x) \ z) = (x * x) * z. [para(22(a,1),5835(a,1,2)),flip(a)]. 37879 K(K(x,y) * (z / R(u,w,v5)),v6) = K(K(x,y) * (z / u),v6). [para(468(a,2),414(a,2,1,2)),rewrite([770(3),5542(5),414(4),468(9)]),flip(a)]. 37903 L((x * y) / x,z,u) \ (x * y) = y * (L(y,z,u) \ x). [para(23(a,1),4248(a,1,1,1,2)),rewrite([2839(8)])]. 37916 K(x,x \ y) * (L(x,z,u) \ y) = y / L(x,z,u). [para(166(a,1),4248(a,1,1,1)),rewrite([7288(5)])]. 37943 ((x * y) / x) / L(y,z,u) = L(y,z,u) \ ((x * y) / x). [para(13912(a,1),4248(a,1,1,1,2)),rewrite([1105(4),3025(4),511(3)]),flip(a)]. 37978 T(T(x / (x / y),z),u) \ x = x / T(T(y,u),z). [para(30(a,1),3203(a,2,2)),rewrite([60(3)])]. 37997 T(T(T(x / (x / y),z),u),w) \ x = x / T(T(T(y,w),z),u). [para(4595(a,1),3203(a,2,2)),rewrite([60(4),60(3)])]. 38098 (x * y) * (z * K(x,y * z)) = (T(x,y * z) * y) * z. [para(3748(a,1),203(a,1,2,2)),rewrite([12612(5),682(5),12610(10),14815(11)])]. 38110 x * (R(x,y,z) \ (y * z)) = y * L(z,y,x). [para(3514(a,1),3748(a,1,2)),rewrite([8825(2),5135(4)])]. 38158 T(a(x,y,z) * a(u,w,v5),v6) = a(u,w,v5) * a(x,y,z). [para(290(a,2),3748(a,1,2)),rewrite([5242(3),1997(8)])]. 38214 x / L(y,z,(z * y) \ x) = (x / (z * y)) * z. [para(24(a,1),3749(a,1,1)),rewrite([919(3)])]. 38294 L((x * (y * z)) / (x * y),u,w) \ (x * (y * z)) = (x * (y * z)) / L(L(z,y,x),u,w). [para(3749(a,1),4248(a,1,1,1,2))]. 38350 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(5716(a,2),5508(a,1,2,1,2)),rewrite([5716(8),5402(4),22(3),31(2),31(5)]),flip(a)]. 38354 L(T(x,y),z,u) * (x \ y) = (L(x,z,u) * y) / x. [para(5716(a,2),4146(a,1,1,2)),rewrite([5716(6),6710(7),4909(4),5545(8),22(6),31(5)]),flip(a)]. 38381 T(x,x \ 1) * (1 / x) = x * L(1 / x,x,x). [para(3794(a,1),203(a,1,2,2)),rewrite([244(8),5431(8),306(7),19006(7),7315(13),25263(10)])]. 38382 L(1 / x,y,z) \ K(x \ 1,x) = 1 / L(1 / x,y,z). [para(492(a,1),3794(a,1,2,2)),rewrite([864(6)])]. 38407 1 / L(x * x,y,z) = L(x * x,y,z) \ 1. [para(398(a,2),3794(a,1,2)),rewrite([2186(8),1010(7),20833(7),376(5)]),flip(a)]. 38606 T(x,K(y,z * (u \ z))) = T(x,K(u,y)). [para(7058(a,1),14019(a,1,2,1)),rewrite([12630(6),4599(3),5915(3),749(4),1742(4),30141(3),34066(4),866(9),12663(9),7871(9),979(8),330(9),749(8),1742(8),19(6),749(6)])]. 38689 T(x,K(y,z * (z / u))) = T(x,K(y,u)). [back_rewrite(34066),rewrite([38606(8),749(6)])]. 38731 a(x,y,x) * R(z,u,w) = R(a(x,y,x) * z,u,w). [para(2388(a,1),28(a,1,1,1)),rewrite([2388(4),2387(6),28(5)])]. 38800 K(x,y * (z * (u * a(w,v5,w)))) = K(x,y * (z * u)). [para(2388(a,2),323(a,2,2,2)),rewrite([5264(5),2382(3),327(7),2388(8),27027(10)])]. 38839 L(x,y,z) * a(u,w,u) = L(a(u,w,u) * x,y,z). [hyper(123,a,4709,a(flip),b,2358,a(flip)),rewrite([5284(8),298(6),379(5),10637(6)])]. 38841 a(x,y,x) * ((z * (u * (a(x,y,x) * w))) \ ((z * u) * w)) = a(z,u,w). [para(2358(a,2),25(a,1,1,2)),rewrite([2358(3),11603(9),2375(12)])]. 38843 a(x,y,x) * ((z * (a(x,y,x) * u)) \ (z * (u * w))) = L(w,u,z). [para(2358(a,1),27(a,1,1)),rewrite([2358(7),11603(8),4111(11)])]. 38844 L(x,a(y,z,y) * u,w) = L(x,u,w). [para(2358(a,2),27(a,1,1)),rewrite([2358(3),2388(6),11603(8),38843(8)]),flip(a)]. 38846 R(x,y * a(z,u,z),w) = R(x,y,w). [para(2358(a,1),28(a,1,2)),rewrite([7046(4),28(8),4116(3)]),flip(a)]. 38936 a(x,y * a(z,u,z),w) = a(x,y,w). [para(2382(a,2),25(a,1,2,1)),rewrite([2358(3),2382(7),7046(8),11603(9),38841(9)]),flip(a)]. 39121 L(x \ y,z,u) * (K(x,x \ y) * w) = L(y / x,z,u) * w. [para(213(a,2),3340(a,1,1,1)),rewrite([213(3),5612(4),22(2),305(8)]),flip(a)]. 39222 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(14423(a,1),3340(a,1,1,1)),rewrite([22143(8),306(12),3353(11),24142(11)]),flip(a)]. 39227 K(x,T(y * (K(z,y) * u),w)) = K(x,T(z * (y * (z \ u)),w)). [para(3340(a,1),20345(a,1,2,1)),rewrite([23348(8),5343(10),6760(10)])]. 39263 K(x,y * T(z * K(u,z),w)) = K(x,y * T(T(z,w),u)). [para(3340(a,2),395(a,1,2,1)),rewrite([229(3),29020(6),928(10),1760(11)])]. 39275 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(7362(a,1),3340(a,1,1,1)),rewrite([25668(7),853(9),379(8)]),flip(a)]. 39304 T(x,T(K(y,z) * (u * T(y,w)),y)) = T(x,T((z * y) / z,w) * u). [para(3340(a,2),9943(a,2,2)),rewrite([928(5),27741(7),229(9)])]. 39332 x * L(K(x,y) * z,u,w) = T(x,y) * L(z,u,w). [hyper(507,a,275,a,b,2188,a),rewrite([275(4),676(6)]),flip(a)]. 39351 (x * y) \ (x * (T(y,z) * u)) = L(K(y,z) * u,y,x). [para(2188(a,1),27(a,1,2,2))]. 39362 (x * y) * (K(y * x,z) * u) = T(x * y,T(z,y)) * u. [para(187(a,1),2188(a,1,2,1))]. 39366 T(x,y) * L(K(y,x) * z,u,w) = x * L(z,u,w). [para(213(a,2),2188(a,1,2)),rewrite([1105(2),677(5),682(4),48(3),20(2),1104(5)]),flip(a)]. 39372 L(x \ (K(y,z) * u),x,y) = (y * x) \ (T(y,z) * u). [para(2188(a,1),3515(a,2,2))]. 39463 K(x,x * y) * (T(x,z) * y) = (x * (T(x,z) * y)) / x. [para(2188(a,1),4146(a,1,1,2)),rewrite([2188(7),2545(7),3499(9)]),flip(a)]. 39528 K(x,K(y,z)) * (u * y) = u * T(y,K(x,z)). [hyper(507,a,3103,a,b,4210,a(flip)),rewrite([179(3),348(3),763(5),174(4),502(4)])]. 39610 x * T(y,T(K(z,u) * x,w)) = T(T(y,K(z,u)) * x,K(x,w)). [para(3103(a,2),257(a,2,1)),rewrite([5781(4),15451(4),45(7),2299(9)])]. 39611 T(x,K(y,z)) * T(u,T(x,w)) = T(u * T(x,K(y,z)),K(x,w)). [para(257(a,1),3103(a,1,2)),rewrite([417(6),39528(4)]),flip(a)]. 39756 L(x / (x / y),z,u) * w = L(y,z,u) * (K(y \ x,y) * w) # label(flip_matches_hint). [para(62(a,1),3338(a,1,1)),rewrite([305(9),5428(8)])]. 39912 (x / y) * (K(x \ y,y \ x) * z) = (1 / (1 / (x / y))) * z. [para(4715(a,1),3338(a,1,1,2)),rewrite([6382(6),33413(6),4717(11),12820(12),20(10),32890(10)]),flip(a)]. 39913 (x \ y) * (K(y \ x,x \ y) * z) = (1 / (1 / (x \ y))) * z. [para(4715(a,2),3338(a,1,1,2)),rewrite([4715(5),12820(12),20(10)]),flip(a)]. 39939 L(T(x,y),z,u) * (T(x,y) \ w) = L(x,z,u) * (x \ w). [hyper(507,a,5716,a,b,2189,a),rewrite([5716(5),31(5),305(7),2310(8)]),flip(a)]. 40151 K(x,T(y,z * u)) * (T(T(x,z),u) * w) = T(T(T(x,y),z),u) * w. [para(4595(a,1),2299(a,2,1)),rewrite([853(3),853(3),5795(3)])]. 40199 K(x * K(y,z),u) * (K(z,y) * (x * w)) = T(K(z,y) * x,u) * w. [para(255(a,1),2299(a,1,1)),rewrite([928(6)])]. 40201 T(K(x,y) * (z * x),K(x,u)) = T(x,y) * T(z,T(x,u)). [para(257(a,1),2299(a,1,2)),rewrite([417(5)])]. 40222 K(x,K(y,z) * K(y,u)) = K(x,K(y,z * u)). [para(640(a,1),2299(a,1,2)),rewrite([44(3),853(2),348(3),10900(5),866(7),5795(7),640(9)])]. 40226 T(T(x,y),z) * (y * x) = x * (T(x,T(z,y)) * y). [para(1593(a,1),2299(a,1,2)),rewrite([853(2),2299(5),247(4)]),flip(a)]. 40283 a(((x * x) \ y) * z,u,w) = a(y * z,u,w). [para(4594(a,1),3260(a,1,1)),flip(a)]. 40302 a((((x * x) \ y) * z) * u,w,v5) = a((y * z) * u,w,v5). [para(5726(a,1),3260(a,1,1)),flip(a)]. 40303 a((x * (x * y)) * z,u,w) = a(L(y,x,x) * z,u,w). [para(5835(a,1),3260(a,1,1))]. 40314 T(L(x,y,z) \ 1,K(x,u)) = L(x,y,z) \ 1. [hyper(507,a,276,a,b,1100,a),rewrite([276(4),306(8)]),flip(a)]. 40392 (K(x,y \ 1) / y) * x = x * (1 / y). [para(1101(a,1),4210(a,2,2)),rewrite([1097(5),18947(6),23755(6)])]. 40476 T((x * y) \ y,K(x,y)) = (x * y) \ y. [para(980(a,1),1102(a,1,2)),rewrite([980(4,R),749(5),18521(5)])]. 40728 T(x * K(y,z),u * K(y,z)) = T(K(y,z) * x,u). [para(1105(a,1),1576(a,1,1,1)),rewrite([749(5),5676(5),1104(7)])]. 41120 K(K(x,y) * z,x * y) = K(z,x * y). [para(980(a,1),1113(a,1,1,1)),rewrite([2235(5)])]. 41173 a(x,x,x \ 1) = K(x \ 1,x). [para(859(a,1),1216(a,1,2,1)),rewrite([25263(6),13508(6),813(3),864(6)])]. 41333 1 / T(x * K(y,z),y) = K(z,y) / T(x,y). [para(1219(a,1),204(a,1,1)),rewrite([30829(4),33007(4)]),flip(a)]. 41381 T(x * K(y,z),y) * u = T(x,y) * (K(y,z) * u). [para(1220(a,1),2188(a,1,2,1)),rewrite([763(5),9688(5)]),flip(a)]. 41396 K(x,T(y,x) \ z) = K(x,y \ z). [hyper(152,a,436,a(flip),b,1221,a)]. 41402 K(x,y * (z / T(y,u))) = K(x,T(z * K(u,y),y)). [para(1221(a,1),1579(a,1,2,2)),rewrite([682(4),10982(4),12942(4)])]. 41458 T(x * K(y,z),z) * u = T(x,z) * (K(y,z) * u). [para(1222(a,1),2188(a,1,2,1)),rewrite([763(5),9688(5)]),flip(a)]. 41573 K(x \ y,x) / (x \ y) = 1 / (y / x). [para(503(a,1),1225(a,1,2)),rewrite([864(2)])]. 41606 (1 / T(x,y)) * K(x,z) = K(x,z) / T(x,y). [para(13944(a,1),1225(a,1,2)),rewrite([10537(5),866(2),4280(3),1220(4),1863(8)]),flip(a)]. 41696 K(x,T(y \ (y \ 1),z)) = K(x,y \ (y \ 1)). [para(1455(a,2),436(a,1,2,1)),rewrite([1455(3),2141(6),29275(5),1010(4),3379(9),12040(9)]),flip(a)]. 41789 K(x * ((y * x) \ y),z) = 1. [para(23(a,1),2072(a,1,1,2,2))]. 41996 a(x,y,a(z,u,x \ 1)) = 1. [hyper(152,a,6494,a(flip),b,3266,a),flip(a)]. 42007 (a(x,y,x \ 1) * z) * u = a(x,y,x \ 1) * (z * u). [para(3266(a,1),2388(a,1,1,1)),rewrite([3266(10)])]. 42008 (x * a(y,z,y \ 1)) * u = x * (a(y,z,y \ 1) * u). [para(3266(a,1),2358(a,1,1,2)),rewrite([3266(10)])]. 42009 (x * y) * a(z,u,z \ 1) = x * (y * a(z,u,z \ 1)). [para(3266(a,1),2382(a,1,2)),rewrite([3266(10)])]. 42027 x * ((x \ 1) \ 1) = x / (x \ 1). [para(391(a,1),3396(a,1,1)),rewrite([24993(8),5848(8)]),flip(a)]. 42030 T((x * x) \ 1,x) = x \ (1 / x). [para(3396(a,1),503(a,1,1))]. 42081 (x * x) \ K(x \ 1,y) = (x \ 1) * T(1 / x,y). [para(3396(a,1),7058(a,1,1)),rewrite([2141(7),3396(12),12319(15),373(11),37311(12),19(13)])]. 42092 (a(x,y,z * z) * u) \ w = u \ (a(x,y,z * z) \ w). [hyper(129,a,5758,a(flip),b,4939,a(flip))]. 42096 (a(x,y,z * z) * u) * w = a(x,y,z * z) * (u * w). [para(4939(a,1),3514(a,1,2))]. 42398 a(x,y,a(z,z,L(y,u,w))) = 1. [hyper(507,a,25427,a(flip),b,9234,a),rewrite([5242(4),8947(5),8870(3)]),flip(a)]. 42423 (R(x,y,z) * u) / (x * u) = a(x,y,L(z,x,u)). [para(9234(a,1),14030(a,1,1,1,2,1)),rewrite([303(2),9238(2),13446(6),303(6),13307(6)])]. 42430 a(x \ y,z,L(u,x,y)) = a(y * x,z,u). [para(9234(a,1),5758(a,2,1)),rewrite([4925(3),13436(4),303(3),8871(3),303(6)])]. 42493 L(x,a(y,z,a(u,w,v5)),a(y,z,u)) = x. [para(9235(a,1),285(a,1,1)),rewrite([13307(2),8982(4),9897(7),9862(8),8919(7),13718(7),8565(6),8871(3),8871(4),8599(4),22(4),8982(2)]),flip(a)]. 42495 a(x,y,z) * (a(x,y,L(z,u,w)) \ v5) = a(x,y,a(w,u,z)) * v5. [para(9235(a,1),287(a,2,1)),rewrite([8982(2),13597(3),8982(5),42493(7),13307(5),9862(8)]),flip(a)]. 42500 ((x * x) \ a(y,z,u)) * y = R((x * x) \ y,z,u). [para(9235(a,1),5876(a,1,2)),rewrite([5159(3)]),flip(a)]. 42508 a(x,y,L(z,u,w)) * (a(x,y,z) \ v5) = a(x,y,a(w,u,z)) * v5. [back_rewrite(27641),rewrite([42495(10)])]. 42509 (a(x,y,z) \ u) * a(x,y,L(z,w,v5)) = a(x,y,a(v5,w,z)) * u. [back_rewrite(13195),rewrite([42495(10)])]. 42521 (x * y) / (L(x,z,u) * y) = a(u,z,L(x,x,y)). [para(9236(a,1),5966(a,1,2)),rewrite([13307(3),8525(2),13009(3),9236(5)]),flip(a)]. 42589 a(x \ y,z,L(u,x * y,x)) = a(y \ x,z,u). [para(9238(a,1),5967(a,1,2,2)),rewrite([13436(4),8871(6),9200(6)]),flip(a)]. 42592 L(x,x,a(y,z,u)) * (a(x,z,y) * u) = R(x,z,y) * u. [para(9238(a,1),3516(a,2,1)),rewrite([5238(2),9109(2)])]. 42601 (1 / x) * R(x,y,z) = a(x,y,z). [para(9238(a,1),14620(a,1,2)),rewrite([8871(6),8789(6)])]. 42607 a(x,y,z) * (R(x,y,z) \ (u * x)) = L(T(u,x),x,a(x,y,z)). [para(9238(a,1),288(a,1,1)),rewrite([11047(5)])]. 42613 (x * x) * (a(x,y,z) * u) = (x * R(x,y,z)) * u. [para(9238(a,1),5835(a,2,1,2)),rewrite([8871(3),8789(3)])]. 42668 L(x \ y,x,a(x,y,z)) = x \ y. [para(22(a,1),9239(a,1,3,2))]. 42697 L(x * y,x,a(x,y,z)) = x * y. [para(14620(a,1),9239(a,1,3,2)),rewrite([850(7),3266(7),9221(5),881(5),7114(5)])]. 42717 L(x,y,a(y,(y \ 1) * x,z)) = x. [para(3266(a,1),9239(a,1,3)),rewrite([7114(7)])]. 42718 R(1 / R(x,y,z),y,z) = 1 / x. [hyper(507,a,25386,a,b,11775,a),rewrite([25386(5),850(5),3266(5),13424(6)]),flip(a)]. 42790 R(R(x,y,z) \ 1,y,z) = x \ 1. [hyper(507,a,1100,a,b,11775,a),rewrite([1100(4),3266(5),4937(6),13332(6)]),flip(a)]. 42997 a(x,y,L(z,u,w)) * L(L(z,y,x),u,w) = L(z,u,w). [para(35(a,1),12672(a,1,2))]. 43003 L(L(x,y,z) \ u,x,a(x,y,z)) = (x \ u) * a(z,y,x). [para(12672(a,1),3515(a,2,1)),rewrite([13269(5),2079(4),6566(7)])]. 43010 L(a(x,y,z) \ u,z,a(z,y,x)) = (u * L(z,y,x)) / z. [para(12672(a,1),3517(a,2,2)),rewrite([299(2),5238(5),13268(5),2079(4)])]. 43130 L(x,y,a(z,z \ y,y)) = x. [para(22(a,1),13138(a,1,2)),rewrite([8326(3),12749(3),889(4),1504(4),5089(4)])]. 43131 L(x,y * z,a(y,y,z)) = x. [para(209(a,2),13138(a,1,2)),rewrite([818(7),21(6),850(5),21(4),5785(4)])]. 43182 a(x * y,z,a(x,y,z)) = 1. [para(502(a,1),13398(a,1,1)),rewrite([851(3)])]. 43229 L(x,y * z,a(y,z,z)) = x. [para(209(a,2),13401(a,1,2)),rewrite([850(5),21(4),5785(4)])]. 43232 a(x,y,y) * ((y * x) * z) = (y * R(x,y,y)) * z. [para(13401(a,1),3514(a,1,2)),rewrite([9473(3)]),flip(a)]. 43332 L(x \ a(y,z,x \ 1),z,y) = x \ 1. [hyper(507,a,1100,a,b,13405,a),rewrite([1100(4),6673(8)]),flip(a)]. 43354 L(L(x,y,z),u,w) * a(z,y,L(x,u,w)) = L(x,u,w). [hyper(130,a,35,a,b,13405,a),rewrite([8861(6)]),flip(a)]. 43363 L(x,y,z) != u | u * a(z,y,u) = x. [para(13405(a,1),139(a,1)),flip(a)]. 43454 a(x,y,z) \ R(x \ 1,y,z) = x \ 1. [hyper(507,a,1100,a,b,13445,a),rewrite([1100(4),3266(5)]),flip(a)]. 43536 R(x,y,z) / R(x,u,w) = R(x,u,w) \ R(x,y,z). [para(13446(a,1),468(a,1,1,1,2)),rewrite([299(3),13445(3)]),flip(a)]. 43539 R(x,y,z) * T(x \ 1,u) = a(x,y,z) * K(x \ 1,u). [para(13446(a,1),7058(a,1,1)),rewrite([13446(9),9347(9)]),flip(a)]. 43580 L(x,a(y,y,z),y * z) = x. [para(502(a,1),13713(a,1,3)),rewrite([816(3),851(2)])]. 45697 K(T(x,y) * z,z \ (T(x,y) \ 1)) = K(z * x,x \ (z \ 1)). [hyper(507,a,394,a,b,1349,a),rewrite([12040(8),9952(8),5911(7),5912(7),810(16),939(15),848(14),1349(13),1010(12)])]. 45769 ((x * y) \ x) * a(x,y,y \ 1) = y \ 1. [hyper(130,a,13405,a,b,1351,a),rewrite([8863(5),372(3)])]. 45784 (x * T(x \ y,z)) \ T(y / x,z) = L(x \ 1,x,y * x). [para(171(a,1),1351(a,2,1)),rewrite([927(5),919(4),8303(4)]),flip(a)]. 45811 K(x \ 1,y \ (x \ y)) = 1. [para(1351(a,2),621(a,1,1)),rewrite([6740(6),306(6)])]. 45848 L(a(x,y,z) \ 1,a(x,y,z),u) = a(x,y,z) \ 1. [para(280(a,2),1351(a,2,1)),rewrite([13113(8)])]. 45861 ((x * y) * x) \ (x * y) = L(x \ 1,x,y * x). [para(1582(a,2),1351(a,2,1)),rewrite([8303(4),1582(7),9244(8)]),flip(a)]. 45871 (x / (x * y)) * (x * K(y \ 1,z)) = T(x / (x * y),z) * x. [para(1351(a,2),5407(a,1,2,2,1)),rewrite([31(7),3514(8),1589(6)])]. 45872 ((x * y) * y) \ (x * y) = L(y \ 1,y,y * x). [para(5407(a,2),1351(a,2,1)),rewrite([927(5),919(4),9359(4),5407(9),6715(10),13517(8)]),flip(a)]. 45873 L((x * y) \ 1,x * y,y) = (y * (y * x)) \ T(y,x). [para(1593(a,1),1351(a,2,1)),rewrite([927(6)])]. 46051 R(x / y,(y \ x) \ 1,y \ x) = ((x / y) \ 1) \ 1. [para(4716(a,2),1353(a,1,2)),rewrite([4716(5),1859(6),10683(6),741(11)])]. 46801 1 / R(1 / x,y,x) = L(1 / (1 / x),y,x). [hyper(152,a,17329,a(flip),b,2182,a),rewrite([3423(4),3426(9),7328(10),34(10),8825(9),17329(8)])]. 46984 T(L(x,y,x) * (y * K(z,u)),x) = y * (K(z,u) * x). [hyper(152,a,9660,a,b,2552,a),rewrite([890(5),730(4),9660(8),9652(7),682(4)])]. 47065 T(x * y,y) * K(z,y * x) = T(x * (y * K(z,x * y)),y). [para(2552(a,1),23826(a,1,1,1)),rewrite([5320(5),5320(10),682(10),46984(11),4839(8)])]. 47085 T((x * y) \ y,K(y,x)) = (x * y) \ y. [para(2552(a,1),1700(a,1,1,2)),rewrite([5545(5),10415(4),749(4),2552(7)])]. 47183 K(K(x,y) * z,u * u) = K(z,u * u). [para(32277(a,2),26(a,1,1)),rewrite([928(8),6863(9)]),flip(a)]. 47284 K(x,y) * ((z * z) * (x * u)) = (z * z) * (T(x,y) * u). [para(2299(a,1),32277(a,2,2))]. 47285 a(K(x,y) * ((z * z) * u),w,v5) = a(K(x,y) * u,w,v5). [para(32277(a,2),3260(a,1,1))]. 47343 K(x,K(y,z)) * (T(x,u) \ w) = T(x,u * K(y,z)) \ w. [para(44(a,1),36316(a,2,1)),rewrite([866(3),330(4),5676(3),46(6),45(6)]),flip(a)]. 47441 (T(x,y) \ z) * K(u,K(x,z)) = T(T(x,y) \ z,K(u,x)). [para(36316(a,2),14386(a,1,1,2,1)),rewrite([1105(7),3096(8),866(10),2426(9),1787(9),976(8),1941(9),1105(9),853(8),418(9),6356(7),14673(6),44(10),2784(9),5902(9),991(8),1940(9)]),flip(a)]. 47537 T(T(T(x,y),T(z,y)) \ u,K(x,z)) = (T(x,y) \ u) * K(z,x). [para(36316(a,2),1947(a,2,1)),rewrite([12605(7),749(10)]),flip(a)]. 47892 K(x / T(y,T(z,u)),w) = K(x / T(y,z),w). [para(25665(a,2),414(a,1,1,2)),rewrite([25665(6),3368(4),315(5),5206(4),1687(4),853(5),1757(8)]),flip(a)]. 47905 (x \ y) * K(x,T(x \ y,z)) = T(y / x,K(x,z)). [para(5716(a,1),25665(a,1,2,1,1)),rewrite([31(5),12297(6),23(9),31(6),6710(7),2191(3),762(4),10075(4),306(10),12820(9),1702(9),5795(8),18682(8),4956(7)]),flip(a)]. 47922 K(x,K(y,z) * (T(u,K(y,z) * w) * w)) = K(x,w * (K(y,z) * u)). [hyper(152,a,26,a,b,25766,a),rewrite([756(7),684(15),26553(15)])]. 47925 K(x,T(y,z) * T(T(z,u),w)) = K(x,T(T(z,w),u) * y). [para(163(a,2),25766(a,1,2,1,2)),rewrite([349(4),5904(3),3851(6),23213(8),28349(7),3499(9),37428(10)])]. 47933 K(x,T(y * K(z,y),u) * w) = K(x,T(T(y,z),u) * w). [para(19944(a,1),25766(a,1,2,2)),rewrite([23776(5),349(5),14166(4),604(9),39263(8),28349(7),47925(5),23791(10),28349(10)]),flip(a)]. 48019 K(x \ (y / x),T(x,z)) = K(x \ (x \ y),T(x,z)). [para(33652(a,1),9992(a,2,1)),rewrite([60(13),32915(15),1035(8),12639(8),1901(7),503(2),34584(5),5795(10),28652(10),12639(10),34597(9)])]. 48077 K(x,y * K(z * u,u)) = K(x,y * K(z,u)). [para(25819(a,1),14632(a,2,2,2)),rewrite([38800(9),1651(5),15953(7),866(2),325(4),325(8),980(5,R)]),flip(a)]. 48079 K(x,K(y,z * y) * u) = K(x,u * K(z,y)). [para(25819(a,2),270(a,1,2,1)),rewrite([25819(4),9942(5),991(2,R),325(9),980(6,R),48077(8)])]. 48127 K(x * x,y * (x * x)) = K(x * x,y). [hyper(507,a,398,a(flip),b,25820,a),rewrite([991(4,R),14(9),6863(15),853(7),398(7)])]. 48309 K(x,T(y / T(T(z,u),w),z)) = K(x,T(T(z,u),w) \ y). [para(25835(a,2),12984(a,1,2,2)),rewrite([25835(7),602(8),602(7),407(6)]),flip(a)]. 48369 T(x,y) * T(x,z * y) = x * T(T(x,y),y * z). [para(522(a,2),25835(a,2,2)),rewrite([477(4),522(8)])]. 48409 K(x \ L(y,z,u),w) = K(x \ y,w). [hyper(507,a,25449,a,b,25943,a),rewrite([1104(5),5430(3),20(4),1104(4),20(4),1104(10),5430(8),20(9),12605(8),25943(6)]),flip(a)]. 48416 K(L(x,y,z) / u,w) = K(x / u,w). [hyper(507,a,1577,a(flip),b,25943,a),rewrite([5795(8),14114(8),48409(7),1696(6)])]. 48445 K(x,T(y \ L(z,u,w),v5)) = K(x,T(y \ z,v5)). [para(25943(a,2),14188(a,1,1,1,2)),rewrite([48416(4),248(3),14188(6)]),flip(a)]. 48508 T((x \ y) * x,T(z,y * u)) = T((x \ y) * x,T(z,u)). [para(1462(a,1),30634(a,1,1,2)),rewrite([1105(3),1582(3),13659(6),19843(6),1462(8),1105(8),1582(8)])]. 48574 K(x * T(x,y),z / x) = K(x * T(x,y),x \ z). [para(856(a,1),28813(a,1,1))]. 48887 (x / (x / (x / y))) \ y = (x / y) \ (x / (x / y)). [para(492(a,1),26011(a,1,2))]. 48917 (x \ (y / x)) * (y / (y / x)) = (x \ (x \ y)) * x. [para(26011(a,1),1582(a,1,2,1)),rewrite([5340(6),478(6),48019(5),10536(5),12982(4),1582(5),26011(7)]),flip(a)]. 49055 T(K(x,y) * z,z \ K(x,y)) = K(x,y) * T(z,z \ 1). [para(859(a,2),26117(a,1,1)),rewrite([2039(6),763(5),2133(4),859(3),1773(6),774(11),2023(12),639(10)]),flip(a)]. 49092 K(x,T(y,z)) * K(u,z) = T(K(x,y) * K(u,z),z). [para(1223(a,1),26117(a,1,1)),rewrite([44(2),11555(6),155(2),853(2)])]. 49215 K(x * y,x) * (z * (x * y)) = T(z * T(x * y,x),K(x,y)). [para(379(a,1),26161(a,1,2,2)),rewrite([3618(5),749(11),18521(11)])]. 49496 K(x * (y * R(z,u,w)),T(v5,y * z)) = K(y * (R(z,u,w) * x),v5). [para(26163(a,2),392(a,1,1,2)),rewrite([26163(4),5210(8),321(8),4827(12),6357(10)])]. 49497 K(x * (y * R(z,u,w)),v5) = K(x * (y * z),v5). [para(26163(a,2),394(a,1,1,1)),rewrite([26163(4),5210(8),4827(8),6357(6),24056(6),6357(5),5209(5),475(4),6357(3),321(9)]),flip(a)]. 49521 K(x * (R(y,z,u) * w),v5) = K(x * (y * w),v5). [back_rewrite(49496),rewrite([49497(6),187(5),6357(3)]),flip(a)]. 49535 (x * x) * (R(T(y,x * x),z,u) * w) = R(y * (x * x),z,u) * w. [para(26164(a,1),14(a,1,1)),rewrite([5163(3),749(6),405(6),400(8)]),flip(a)]. 49556 (x / y) * R(T(z,y \ x),u,w) = T(R(z,u,w) * (x / y),K(x,y)). [para(503(a,1),26164(a,1,2,1,2)),rewrite([864(10),749(11),1742(11),18521(11)])]. 49591 (R(x,y,z) * u) * T(w,x * u) = w * (R(x,y,z) * u). [para(26164(a,2),257(a,1,2,2)),rewrite([26164(6),365(7),5550(5),45(12),5209(11),46(11),1705(11),46(10),45(10),368(11)])]. 49592 T(x,y * (R(z,u,w) * v5)) = T(x,y * (z * v5)). [para(26164(a,1),332(a,2,2,2)),rewrite([32(5),5676(4),15451(4),5339(8),39610(5),334(7),28081(5),334(9)]),flip(a)]. 49695 T(x * K(y,z),K(y,z) * u) = T(K(y,z) * x,u). [para(431(a,1),26293(a,2,2)),rewrite([1104(2),45(4),1113(3),46(2),1105(5),3096(6),1105(6),418(6),12613(6),314(8),9652(7),15978(6),682(5),16762(4),1587(3),1105(5),9660(9)]),flip(a)]. 49721 T(K(x,y) * z,z * K(u,w)) = T(z * K(x,y),K(u,w)). [back_rewrite(29589),rewrite([49695(7)])]. 49930 a(x * ((y * y) * z),u,w) = a(z * x,u,w). [para(26356(a,1),3260(a,1,1)),rewrite([845(5),5876(9),5633(10),848(10),848(9)])]. 49942 a(K(x,y) * z,u,w) = a(z,K(x,y) * u,w). [back_rewrite(47285),rewrite([49930(5),764(3)]),flip(a)]. 50061 T(x,T(K(y,z) / u,w)) = T(x,T(u \ K(y,z),w)). [para(26408(a,1),168(a,2,2)),rewrite([36969(7),28285(6),3360(6),774(4),9813(6),1098(10),3360(10),923(8),20(7)])]. 50063 (K(x,y) / T(z,u)) * K(y,x) = 1 / T(z,u * K(y,x)). [para(203(a,2),26408(a,2,2,1)),rewrite([1105(3),26407(5),1105(3),30829(4),33007(4),1104(9),44(10),1112(9),45(8),13898(9),5781(9)])]. 50091 T(x,T(y \ K(z,T(u,w)),v5)) = T(x,T(y \ K(u,z),v5)). [para(26408(a,1),9660(a,1,2)),rewrite([853(3),1098(7),3360(7),923(5),853(2),20(4),9942(10),36969(12),28285(11),3360(11),774(9),9813(11),50061(9)])]. 50127 K(x * K(y,z),u * u) = K(x,u * u). [hyper(507,a,402,a,b,26126,a),rewrite([402(5),47183(10)])]. 50160 T((x * y) \ y,K(x,z)) = (x * y) \ y. [hyper(507,a,12705,a,b,47085,a),rewrite([1010(5),1742(6),30141(5),38689(6),749(4),749(8),40476(8)])]. 50169 T((x * y) \ y,x \ 1) = (x * y) \ y. [hyper(507,a,977,a,b,47085,a),rewrite([2671(5),749(9),40476(9)])]. 50342 T(x,T(y * z,z * u)) = T(x,T(z * y,u)). [para(174(a,1),26487(a,2,2)),rewrite([749(3),12658(3),749(2),418(5),5793(6),14129(4),5676(5),15451(5),861(3),14166(5),18814(4),470(5),16167(6),5904(4)])]. 50443 K(x,y * T(z * u,u)) = K(x,y * (u * z)). [hyper(152,a,16981,a(flip),b,26488,a),rewrite([26452(5),268(7),5720(8),5320(8)])]. 50501 K(x,y * (z * ((u * w) \ v5))) = K(x,y * (z * (w \ (u \ v5)))). [para(5758(a,2),26488(a,1,2,1)),rewrite([5758(5),50443(8),235(7),10366(5),7351(5)]),flip(a)]. 50567 T(x,T(y * (z \ u),u)) = T(x,u * (y / z)). [para(22(a,1),26493(a,1,2,2)),rewrite([36947(8)])]. 50573 T(x,T(y * (z * u),w * u)) = T(x,T(u * (y * z),w)). [para(3514(a,1),26493(a,1,2,1)),rewrite([5544(5),12086(10)])]. 50646 T(x,T(y * (z * T(u,w)),u)) = T(x,T(u,w) * (y * z)). [back_rewrite(37240),rewrite([50573(6)])]. 50652 T(x,T((y * z) / y,u) * w) = T(x,T(T(z,y),u) * w). [back_rewrite(39304),rewrite([50646(6),3499(4),37205(5)]),flip(a)]. 50655 T(x,T(y * K(z,y),u) * w) = T(x,T(T(y,z),u) * w). [back_rewrite(37220),rewrite([50652(5)]),flip(a)]. 50657 T(x,T(y,z) * T(z * K(u,z),w)) = T(x,T(T(z,u),w) * y). [back_rewrite(25629),rewrite([50655(11)])]. 50722 T(x,y * z) * K(y,z) = T(x * K(y,z),y * z). [para(18594(a,1),26505(a,2,2)),rewrite([866(2),1104(3),853(2),1584(3),1104(4),41120(6),682(5),7781(5),866(6),1104(7),853(6),1584(7)])]. 50723 T(x,y * ((z \ u) * K(y * z,w))) = T(x,T(T(y,z) \ z,w) \ u). [para(26505(a,2),434(a,2,2,1)),rewrite([2430(7),183(6),1523(7),12016(7),13040(7),679(4),26505(11),9949(12)])]. 50776 T(x,y * K(z,u)) \ 1 = T(T(x,y) \ 1,K(z,u)). [para(22(a,1),26579(a,1,2,2,2)),rewrite([1104(3),923(5),679(5),3014(5),32261(5),9772(5),1104(7),682(9),3096(9),5781(8)]),flip(a)]. 50955 (x * y) \ ((x * T(z,u)) * y) = T((x * y) \ ((x * z) * y),u). [para(21(a,1),19624(a,1,2,1,2,1))]. 51029 T(x * K(y \ 1,z),K(y,z)) = K(y \ 1,z) * x. [hyper(507,a,992,a,b,26603,a),rewrite([1523(9),20(6),49721(7),26603(11)])]. 51063 T(K(x \ 1,y) * K(z,x),z) = x * T(T(x,z) \ 1,y). [hyper(152,a,2189,a(flip),b,26603,a),rewrite([1104(5),9772(5),4755(5),3438(9),12012(11)]),flip(a)]. 51209 T(x,y * (z * K(u \ 1,w))) = T(x,K(u,w) * (y * z)). [para(26603(a,2),26487(a,1,2,2)),rewrite([749(4),1742(4),19(2),749(2),418(6),51029(6),26603(10),1612(10),20(7),4831(9),26450(7),1612(12),20(8)])]. 51322 T(x,K(y,z) * (K(u,y \ 1) * w)) = T(x,T(T(y,z),u) * (y \ w)). [para(51063(a,1),434(a,2,2,1)),rewrite([774(6),1104(5),1220(12),44(10),45(10),46(10),5902(10),19(8),46(8),45(8),682(9),682(8),23327(10),1007(14),1069(14)])]. 51672 (1 / L(x,y,z)) \ a(z,y,x) = x. [para(277(a,1),25546(a,1,2,1)),rewrite([13502(7),303(5),9237(8),303(8),8955(8),13405(8)])]. 51715 T(x * K(y,x),z) * (u * K(x,T(y,z))) = T(x,z) * T(u,K(x,y)). [para(203(a,2),39275(a,1,2)),rewrite([1104(6),853(5),9942(7),44(6),853(5),6029(5),45(4),348(4),46(3),13921(4),1105(10),853(9)]),flip(a)]. 51758 T(x,y * T(z * K(u,z),w)) = T(x,y * T(T(z,w),u)). [para(39275(a,1),268(a,1,2,1)),rewrite([314(8),4831(8),268(6),928(10),1762(11)])]. 51803 T(x,T(y,z) * T(T(z,u),w)) = T(x,T(T(z,w),u) * y). [back_rewrite(50657),rewrite([51758(6)])]. 51805 T(x,y * T((z * u) / z,w)) = T(x,y * T(T(u,w),z)). [back_rewrite(23297),rewrite([51758(10)])]. 51811 T(x,T(T(T(y,z),u),w) * T(z,y)) = T(x,T(T(y,w),u) * z). [back_rewrite(23281),rewrite([51803(11)])]. 52305 x * K(K(y,z) * u,x) = T(x * K(u,x),K(y,z)). [para(1584(a,1),18489(a,1,2,1)),rewrite([330(3),367(3),1105(6),853(5),682(6),3102(5),46(3),45(3),155(4),417(4),861(2),1584(7),12012(10),6238(11),41381(10),866(6),11556(10),46(7),45(7),10900(8),866(9),3095(8),1105(8)]),flip(a)]. 52352 T(x * K(y,z),u) * u = T(x,u) * (u * K(y,z)). [back_rewrite(26121),rewrite([52305(5),749(5),502(6),682(4),6701(5)]),flip(a)]. 52423 a(x,K(y,z) * u,w) = a(x,u,w). [para(9235(a,1),29320(a,1,2,2,1)),rewrite([32(6),12643(5),4925(5),13442(5),3096(5),303(3),49942(4),303(5)]),flip(a)]. 52445 a(K(x,y) * z,u,w) = a(z,u,w). [back_rewrite(49942),rewrite([52423(6)])]. 52453 a(x * K(y,z),u,w) = a(x,u,w). [back_rewrite(764),rewrite([52423(6)])]. 52509 a(x,x \ (y \ z),y) \ z = x * ((x \ (z / y)) * y). [hyper(738,a,14558,a),rewrite([299(4)])]. 52559 a(x * ((x \ (y \ 1)) * y),z,u) = a(x,x * (y \ 1),a(y,z,u)). [para(14558(a,1),3266(a,1,1)),rewrite([8982(5),9195(5),10448(11)]),flip(a)]. 52584 a(x,y * K(z,u),w) = a(x,y,w). [para(301(a,1),14805(a,2,3)),rewrite([12605(2),763(3),682(7),756(8),25(9),815(3)]),flip(a)]. 52591 K(x * ((y * z) * u),w) = K(x * (y * (z * u)),w). [para(14805(a,1),1702(a,1,1,1)),rewrite([49521(9),4971(7),9700(8),12434(12),5550(12),6357(12),15020(12),187(10),6357(8)])]. 52902 T(x,y) * L(z,y \ x,y) = y * ((T(y,x) \ x) * z). [hyper(735,a,14651,a)]. 53027 T(x \ (y \ x),K(y,z)) = x \ (y \ x). [para(1100(a,1),26615(a,1,2,1,2)),rewrite([22(3),19(3),19(5)]),flip(a)]. 53116 (x / y) * (z * K(y \ x,y)) = T((y \ x) * z,K(y,x)). [para(1576(a,1),16241(a,1,1)),rewrite([35844(5),864(7)]),flip(a)]. 53145 T(x,y) * T(z,K(x,u)) = T(T(x,y) * z,K(x,u)). [para(14181(a,1),16241(a,1,1)),rewrite([14166(6),35826(6),853(11),179(11),615(9),51715(11)]),flip(a)]. 53284 (x \ y) * T(x,K(y,z)) = y * K(x \ y,T(x,z)). [para(1463(a,1),20539(a,2,2,1)),rewrite([7216(3),372(1),20(2),379(1),7216(3),372(1),20(2),379(1),1459(3),866(3),44(9),45(9),46(9),5902(9),1705(9),46(8),45(8),682(9),13921(8)]),flip(a)]. 53337 K(x,y) * K(x,T(z,y)) = x \ T(T(x,y),z). [para(1100(a,1),20539(a,1,1)),rewrite([1100(6),4211(6),1575(8),25536(5),2145(8),174(6),853(6)]),flip(a)]. 53574 x * K(y,T(L(y,z,u) \ x,w)) = x * K(y,T(y \ x,w)). [para(306(a,1),26184(a,2,2)),rewrite([7315(4),5321(5),26184(5)]),flip(a)]. 53586 K(x,T(y * z,u * (w * y))) = K(x,T(z * y,u * w)). [para(26184(a,1),14139(a,1,2)),rewrite([866(3),866(4),5795(4),9660(9),3089(7),864(6),1582(7),14926(7),866(6),10304(5),5795(5),5292(4),521(10),866(9),1951(8),488(8),866(8),866(9),5795(9)])]. 53592 (x \ 1) * (x / (x \ 1)) = L(x,x,x). [para(14423(a,2),26184(a,1,2,2)),rewrite([7315(8),14423(11),5321(11),22(9),376(8),378(8),306(15),53574(15),13592(13),373(10),402(11),3415(10),20(8),155(9),627(8)])]. 53652 (K(x,y) / z) * K(y,x) = T(1 / z,K(x,y)). [para(26184(a,1),26408(a,2,2)),rewrite([1105(6),26407(8),44(4),3032(3),50(3),1105(3),2039(4),1104(8),44(10),6030(9),348(8),46(7),45(7),155(8),2980(8)])]. 53666 1 / T(x,y * K(z,u)) = T(1 / T(x,y),K(u,z)). [back_rewrite(50063),rewrite([53652(5)]),flip(a)]. 53692 T(K(x,y) * K(x,z),z) = x \ T(T(x,z),y). [hyper(152,a,1587,a,b,53337,a),rewrite([330(5),367(5),49092(4)])]. 53700 K(x,K(y,z)) * K(y,u) = K(y,u * K(x,z)). [para(45(a,1),53337(a,1,1)),rewrite([367(5),5781(7),54(8)])]. 53711 K(x,T(y,z)) * K(x,T(u,y)) = x \ T(T(x,T(y,z)),u). [para(179(a,2),53337(a,1,1)),rewrite([179(3),396(5)])]. 53718 x \ T(T(x,y),T(z,y)) = K(x,y) * K(x,z). [para(195(a,1),53337(a,2,2)),rewrite([179(3),179(6),615(4),53711(5),30(3),774(8),54(7)])]. 53724 K(x,y) * (K(x,T(z,y)) * u) = T(T(x,z),y) * (x \ u). [para(53337(a,1),3514(a,1,1)),rewrite([301(7),11646(4)]),flip(a)]. 53840 x * (y \ T(T(y,x),z)) = (T(y,z) * x) / y. [para(53337(a,1),3340(a,2,2)),rewrite([22299(5),2203(4)]),flip(a)]. 53991 K(x,T(y,z)) * (T(x,z) \ u) = T(x * K(y,x),z) \ u. [para(14188(a,1),14691(a,1,1,2,1)),rewrite([12608(6),10776(6),682(4),48(3),20(2),15562(6),12608(4),2951(5),14188(17),12608(15),301(15)])]. 54453 T(x,y) / ((z \ K(x,y)) * x) = x / ((z \ 1) * x). [hyper(152,a,28,a,b,14738,a),rewrite([22(3),19(2)]),flip(a)]. 54474 R(x,x \ 1,y) \ T(y,z) = (x \ K(y,z)) * y. [hyper(737,a,14738,a(flip))]. 54556 a(x,(x \ 1) * y,L(z,y,y)) = a(x,(x \ 1) * y,L(z,x,y)). [para(14738(a,1),14805(a,1,1,1)),rewrite([54453(5),22(12),19(11),13767(11),13264(8),3266(7),9855(12)])]. 54770 (x * x) * ((x \ 1) * y) = (1 / (1 / x)) * y. [para(14782(a,1),14(a,1,1)),rewrite([17329(3)]),flip(a)]. 54870 R(x,y,z) * (x \ 1) = a(x,y,z). [para(9235(a,1),14782(a,1,1)),rewrite([13307(8),8303(7),19(6),8789(6)])]. 54938 x \ ((y * L(y \ z,u,w)) * (y \ x)) = L(x \ (z * (y \ x)),u,w). [para(14795(a,1),503(a,1,1)),rewrite([31(5),32(4),5534(4)]),flip(a)]. 55080 R(x,y,z) * (y * (z * K(u,w))) = (x * y) * (z * K(u,w)). [para(12608(a,1),14822(a,1,2)),rewrite([682(4),682(8)]),flip(a)]. 55109 K(x,y) * (((x * z) * u) * w) = ((T(x,y) * z) * u) * w. [para(2299(a,1),14822(a,1,1,1)),rewrite([12608(8),301(7),12602(7)]),flip(a)]. 55301 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(24(a,1),14868(a,1,2,1,2)),rewrite([5489(10)])]. 55362 L(x * K(y,z),u,w) / v5 = L(x,u,w) / (v5 * K(z,y)). [hyper(152,a,12605,a(flip),b,14869,a),rewrite([1105(2),1104(7),676(9),12604(8)])]. 55422 K(x / T(y \ z,y),T(u,z)) = K((z \ y) * T(x,y),u). [para(14870(a,2),183(a,1,1)),rewrite([14870(6),5544(9),22(7),36964(7),13031(7),31(3),5432(6),5297(11),19850(11),5428(10),12820(9)])]. 55427 K(x / T(y \ z,y),u) = K(x * (y / z),u). [para(14870(a,2),1577(a,2,1)),rewrite([5544(9),22(7),5297(7),19850(7),5428(6),12820(5),28620(5),35473(4),14870(9),36964(9),13031(9),31(6),5432(8)]),flip(a)]. 55453 x / (y * L(y \ x,z,u)) = a(u,z,(x \ y) \ 1). [para(13508(a,1),14870(a,1,1)),rewrite([813(2),13307(5),8525(4),13009(5),9200(4),9854(4),24(6)]),flip(a)]. 55458 K((x \ y) * T(z,y),u) = K((x \ z) * y,u). [back_rewrite(55422),rewrite([55427(5),19846(4)]),flip(a)]. 55727 a(x,y,z \ ((u * u) * w)) = a(x,y,(u * u) * (z \ w)). [para(19122(a,1),814(a,1,3)),rewrite([786(8)])]. 55728 a(x,y \ ((z * z) * u),w) = a(x,(z * z) * (y \ u),w). [para(19122(a,1),816(a,1,2)),rewrite([2330(8)])]. 55730 L(x,y \ ((z * z) * u),w) = L(x,(z * z) * (y \ u),w). [para(19122(a,1),883(a,1,2)),rewrite([878(8)])]. 55731 L(x,y,z \ ((u * u) * w)) = L(x,y,z \ w). [para(19122(a,1),927(a,1,3)),rewrite([889(8),3158(8)])]. 55769 x \ (K(y,z) * (u * u)) = (x \ (u * u)) * K(y,z). [para(1584(a,2),19122(a,2,2)),rewrite([19122(5),682(3),683(4),407(7)]),flip(a)]. 55792 R(x,y,z \ ((u * u) * w)) = R(x,y,(u * u) * (z \ w)). [para(19122(a,1),1860(a,1,3)),rewrite([1845(8)])]. 55813 (x \ (y * y)) * K(x \ 1,z) = T((y * y) * T(1 / x,z),x). [para(3262(a,2),19138(a,2,1,2,1)),rewrite([1589(5),682(5),683(6),3262(9)])]. 55841 R(x,y * (z \ (y \ z)),u) = L(x,a(z,y,y),u). [para(41789(a,1),4172(a,1,1,2)),rewrite([20(2),12008(4),6880(8),6880(13),6111(14),18051(14),7678(8)])]. 55851 x * (y * ((z * y) \ z)) = a(z,y,y \ 1) \ x. [para(41789(a,1),257(a,2,2)),rewrite([2962(7),12164(7),372(4),22(6),378(5),6880(4),378(10)]),flip(a)]. 55892 L(x,y,a(z,u,x \ 1)) = x. [para(41996(a,1),9235(a,1,1)),rewrite([19(2),5242(4)]),flip(a)]. 56089 a(x,x * y,a(y,y,z)) = 1. [hyper(744,a,43130,a,b,12672,a),rewrite([8982(4),9195(4)]),flip(a)]. 56113 L(x,y,a(z,z * y,y)) = x. [para(3266(a,1),43130(a,1,3)),rewrite([9476(4)])]. 56130 ((1 / x) \ y) \ (z * a(x,x,y)) = (x * y) \ z. [hyper(152,a,286,a(flip),b,43131,a),rewrite([19078(3),8043(3),5072(2)])]. 56135 a(x,x,y) * ((x * y) * z) = ((1 / x) \ y) * z. [para(43131(a,1),3514(a,1,2)),rewrite([4971(3),8043(3),5072(2)]),flip(a)]. 56202 a(x,x * y,a(y,z,z)) = 1. [para(22707(a,1),43182(a,1,1)),rewrite([816(13),11755(12),22727(11),9476(9),8846(8),848(8),845(7),11512(6),612(3),52453(4)])]. 56230 a(x,y,y) * ((x * y) * z) = (R(x,y,y) * y) * z. [para(43229(a,1),3514(a,1,2)),rewrite([4971(3),17677(3)]),flip(a)]. 56259 a(x * y,a(x,x,y),z) = 1. [hyper(744,a,43580,a,b,12672,a),flip(a)]. 56262 a(x,x,y) \ ((x * y) \ z) = ((1 / x) \ y) \ z. [hyper(129,a,5758,a(flip),b,43580,a(flip)),rewrite([19078(3),8043(3),5072(2)]),flip(a)]. 56313 T(x \ (y \ x),K(z,y)) = x \ (y \ x). [para(45811(a,1),161(a,1,1,2)),rewrite([376(2),19(4),1742(8),19(6)]),flip(a)]. 56607 a((x \ y) * y,x,z) = a(x,x,z). [hyper(141,a,56089,a),rewrite([8871(3),8704(3)])]. 56889 K(x,y) * K(z,K(x,u)) = K(x,y * K(z,u)). [para(158(a,1),440(a,2,1,1)),rewrite([866(3),866(2),348(3),13921(5),853(5),367(5),53700(4),853(6),367(6),866(7),866(6),348(7)]),flip(a)]. 57161 K(T(x * K(y,x),z) \ u,w) = K(T(T(x,z),y) \ u,w). [para(195(a,1),445(a,1,1,1,1)),flip(a)]. 57199 (T(T(x,y),y) \ z) * T(T(x,y),y) = (x \ z) * x. [para(445(a,1),1582(a,1,2)),rewrite([5795(4),407(4),1582(3)]),flip(a)]. 57206 K(x / T(T(T(y,z),u),z),w) = K(x / T(y,u),w). [para(3203(a,1),445(a,2,1)),rewrite([37997(6)])]. 57233 K(x / T(y * K(z,y),u),w) = K(x / T(T(y,z),u),w). [back_rewrite(20217),rewrite([57161(6),16109(5)]),flip(a)]. 57309 K(T(x,y) \ z,u * u) = K(x \ z,u * u). [hyper(507,a,402,a,b,452,a),rewrite([402(5),47183(9)])]. 57402 K(K(x,y) * (z / T(x,u)),w) = K(z / T(T(x,y),u),w). [para(3203(a,1),452(a,1,1,2)),rewrite([853(4),7070(4),474(4),5795(3),316(7),37978(10)])]. 57512 T(x,K(y * z,u) * ((z / y) \ w)) = T(x,T(z / y,u) \ w). [para(183(a,1),454(a,1,2,1)),rewrite([1612(6),9949(11)])]. 57538 T(x,T(K(y,z) * u,w) * v5) = T(x,K(y,z) * (T(u,w) * v5)). [para(23670(a,2),454(a,1,2,1)),rewrite([23670(3),11897(8),1104(5),928(6),1612(8),40199(7),29959(10)])]. 57543 T(x,T(y * K(z,u),w) \ v5) = T(x,K(u,z) * (T(y,w) \ v5)). [para(315(a,2),454(a,1,2,1)),rewrite([315(4),774(6),15846(8),682(5),3014(4),12684(6)]),flip(a)]. 57557 T(x,T((y \ z) * y,u) \ w) = T(x,T(z,y * u) \ w). [para(1702(a,1),454(a,1,2,1)),rewrite([12164(7),1500(6),5330(6),11897(6),12625(6),5216(6),12908(6),13647(5)]),flip(a)]. 57561 T(x,y \ (T(z,y) \ u)) = T(x,z \ (y \ u)). [para(1947(a,2),454(a,2,2,1)),rewrite([12164(6),11184(6),2260(5),1947(6),29940(8)])]. 57565 T(x,T(T(y,z) \ z,u) \ w) = T(x,T(z / y,u) \ w). [para(26505(a,2),454(a,2,2,1)),rewrite([2430(4),183(3),11897(7),13657(7),1612(6),57512(6),26505(9),9949(10)]),flip(a)]. 57577 T(x,K(y,z) * (u \ ((u \ z) \ w))) = T(x,T(z,u * y) \ w). [back_rewrite(35615),rewrite([57557(11)])]. 57579 T(x,y * ((z \ u) * K(y * z,w))) = T(x,T(z / y,w) \ u). [back_rewrite(50723),rewrite([57565(11)])]. 57742 x * K(y * x,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). [para(859(a,2),471(a,1,1)),rewrite([859(5),1010(5),3087(6),5911(5),5912(5),1010(11),12454(12)])]. 58100 K((x \ y) * z,u * x) = K(y * (z / x),x * u). [para(14870(a,2),483(a,1,1)),rewrite([14870(6),7351(10),35686(10),5345(9),36964(7),13031(7),31(3),5432(6),55427(5),31321(14),22(11),5297(11),19850(11),5428(10),12820(9),55458(9)]),flip(a)]. 58357 (1 / x) * K(y,x \ z) = K(y,z / x) / x. [para(1101(a,1),489(a,1,1)),rewrite([5347(6),19(5),2097(9),1101(11),2143(10)])]. 58525 (x / T(y,z)) * L(T(y,z),u,w) = L(y,u,w) * (y \ x). [para(31(a,2),512(a,1,1)),rewrite([31(2),39939(5)]),flip(a)]. 58579 L(1 / x,y,z) * ((1 / x) \ x) = (x * x) * L(1 / x,y,z). [para(17314(a,1),512(a,2,1))]. 58691 x * (a(y,y,x) \ z) = L(x,y,y) * z. [para(14620(a,2),513(a,1,2)),rewrite([14620(6),13016(4),6563(3)])]. 58693 L(T(x,y),z,u) * (x * w) = L(x,z,u) * (T(x,y) * w). [para(247(a,1),513(a,1,1,1)),rewrite([58525(8),21(5)]),flip(a)]. 58697 K(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ K(x,y). [para(513(a,1),1583(a,1,1,1)),rewrite([3857(5),677(3),7288(5),12942(10),478(10),306(9),614(8)])]. 58816 K(x \ (R(y,z,u) \ w),v5) = K(x \ (y \ w),v5). [para(514(a,1),370(a,1,1,1)),rewrite([5554(6),12663(6),5900(6),5207(6),7871(5),4599(4),248(4),5791(3),514(6)]),flip(a)]. 58822 K(K(x,y) * (R(z,u,w) \ v5),v6) = K(K(y,x) * (z \ v5),v6). [para(514(a,1),415(a,1,1,2)),rewrite([37879(11),19846(10),1174(9)])]. 58881 L(x,y \ (x \ z),y) * (x \ z) = y * ((y \ (z / x)) * x). [hyper(127,a,5967,a,b,517,a),rewrite([2008(7)]),flip(a)]. 59461 T(x / y,z) \ K(y,y \ x) = (y \ x) \ K(z,x / y). [para(503(a,1),525(a,1,1)),rewrite([244(8)]),flip(a)]. 59532 T(x \ y,y \ x) \ 1 = T((x \ y) \ 1,y / x). [back_rewrite(35283),rewrite([59461(6),32890(4),231(5,R)])]. 59989 T(K(x,y) * z,u \ K(x,y)) = T(z * K(x,y),u \ 1). [para(20651(a,1),556(a,2,2)),rewrite([50091(7),9947(6),7923(5)]),flip(a)]. 60129 K(x,y) * T(z,z \ 1) = (z \ K(y,x)) \ 1. [back_rewrite(49055),rewrite([59989(5),11015(5)]),flip(a)]. 60521 T(x,T(y * K(z,u),w) * v5) = T(x,K(z,u) * (T(y,w) * v5)). [para(1698(a,1),590(a,1,2,1)),rewrite([231(6,R),12923(7),373(5),37246(13),17216(9),57538(10)])]. 60527 T(x,K(y,z) * (u * K(w,z \ 1))) = T(x,T(T(z,y),w) * (z \ u)). [para(51063(a,1),590(a,1,2,1)),rewrite([50776(5),5781(6),1007(9),590(9),1069(7),57543(15),866(12),1104(13),853(12),29790(15),15845(14)]),flip(a)]. 60580 K(x * (K(K(y,z) * u,w) * v5),v6) = K(x * (v5 * K(w,u)),v6). [para(592(a,1),469(a,1,1,1)),rewrite([28806(9),27851(7),928(11),591(12),682(9)])]. 60801 K(x,T(y,z * (u / w))) = K(x,T(y,z * (w * u))). [para(503(a,1),602(a,1,2,2,2)),rewrite([28652(4)]),flip(a)]. 61082 K(x * y,z) * (K(z,y * x) * u) = K(x,K(y,z)) * u. [para(641(a,1),3514(a,1,1)),rewrite([301(7)]),flip(a)]. 61275 K(x,y * (z * K(u,w \ 1))) = K(x,K(u,w) * (y * z)). [para(650(a,1),395(a,1,2,1,1)),rewrite([763(5),11055(10),19(7),357(9),488(7),928(5),1434(6),19(2),650(10)]),flip(a)]. 61314 K(x,y * (K(z,u \ 1) * w)) = K(x,y * (K(z,u) * w)). [para(650(a,2),25766(a,1,2,2)),rewrite([11055(5),19(2),650(9),61275(9),47922(7)]),flip(a)]. 61328 T(x,(y * z) / u) = T(x,y * (z / u)). [hyper(152,a,350,a,b,662,a),rewrite([9814(5),50342(5),50567(4)]),flip(a)]. 61350 K(T(x \ y,y) \ z,u) = K(x * (y \ z),u). [para(662(a,1),183(a,1,2)),rewrite([12663(6),37022(6),19864(5)]),flip(a)]. 61588 x / (y * ((y \ z) * (z \ x))) = a(y,y \ z,z \ x). [para(22(a,1),672(a,1,1))]. 61729 x * (K(y,z) * (x \ u)) = K(y,T(z,x)) * u. [para(1587(a,1),674(a,1,2)),rewrite([1787(7),10309(8)])]. 61899 L(x * K(y,z),x \ 1,x) = 1 / (K(z,y) / x). [para(1350(a,1),677(a,1,1)),rewrite([10748(6)]),flip(a)]. 61902 R(x,y * K(z,u),w) = R(x,y,w). [para(677(a,2),2182(a,1,2)),rewrite([884(3),677(3),7724(4),2182(2)]),flip(a)]. 62074 x \ L(y * (z * K(u,w)),v5,v6) = (x \ L(y * z,v5,v6)) * K(u,w). [para(3516(a,2),680(a,1,2,1)),rewrite([12605(2)])]. 62264 K(x \ 1,x) * K(y,z) = (x \ 1) * (x * K(y,z)). [para(742(a,1),682(a,1,1))]. 62328 a(x,y * (z * K(u,w)),v5) = a(x,y * z,v5). [para(682(a,1),14805(a,1,1,2,1)),rewrite([12605(3),756(4),682(9),682(8),6724(10),25(11),815(4),682(5),301(8)]),flip(a)]. 62372 x \ (y * (K(z,K(u,w)) * v5)) = (x \ (y * v5)) * K(z,K(u,w)). [para(366(a,2),683(a,1,2,2))]. 62427 (x \ (y * (z * u))) * K(u,w) = x \ (y * (z * T(u,w))). [para(155(a,1),684(a,1,2,2,2)),flip(a)]. 62605 (x \ y) * (K(z,u) * K(y,w)) = (x \ T(y,w)) * K(z,u). [para(1584(a,1),685(a,1,1,2)),rewrite([679(3),682(5),439(9),679(9)])]. 62752 (x \ y) * K(z,K(y,u)) = x \ T(y,K(z,u)). [para(1460(a,1),686(a,1,2,2,1)),rewrite([866(5),682(6),155(5),257(5),22(2),749(3),1742(3),12658(3),749(2),1460(7),44(7),46(7),5902(7),1705(7),46(6)]),flip(a)]. 62805 T(x,y * ((z \ u) * (u \ w))) = T(x,y * (z \ w)). [para(686(a,2),15804(a,1,2,2)),rewrite([5216(7),332(7)])]. 63069 (x \ (y \ z)) * K(u,u \ z) = x \ (y \ (u * (z / u))). [para(707(a,1),679(a,1,2)),flip(a)]. 63435 T(x,y \ ((z * u) / z)) = T(x,y \ T(u,z)). [para(710(a,2),168(a,2,2)),rewrite([10064(4)]),flip(a)]. 63622 a(x,y,z) \ ((u * z) / u) = L(z * K(u,z),y,x). [para(9236(a,1),710(a,2,1)),rewrite([677(7)])]. 63623 L(x,y,z) \ ((u * x) / u) = a(z,y,x) * K(u,x). [para(9237(a,1),710(a,2,1))]. 63682 T(x,y \ T(K(z,u) * w,v5)) = T(x,K(z,u) * (y \ T(w,v5))). [para(710(a,2),589(a,1,2)),rewrite([63435(6),10121(11),10066(11),12625(10)])]. 63692 T(x,y) \ T(z,K(x,u)) = T(T(x,y) \ z,K(x,u)). [back_rewrite(47441),rewrite([45(4),46(4),62752(5),749(8)])]. 63704 ((x * y) / x) / L(y,z,u) = a(u,z,y) * K(x,y). [back_rewrite(37943),rewrite([63623(8)])]. 63753 T(x,y * (z * K(u,w \ 1))) = T(x,K(u,w) * (y * z)). [para(1097(a,1),711(a,1,2,1)),rewrite([11055(6),19(2),1097(7)]),flip(a)]. 63830 T(x,T(T(y,z),u) * (y \ w)) = T(x,K(u,y) * (K(z,y) * w)). [back_rewrite(60527),rewrite([63753(7)]),flip(a)]. 63836 T(x,K(y,z) * (K(u,y \ 1) * w)) = T(x,K(u,y) * (K(z,y) * w)). [back_rewrite(51322),rewrite([63830(12)])]. 63955 K(x,T(y * (K(z,y) * u),w)) = K(x,T(T(y,z) * u,w)). [hyper(152,a,1702,a(flip),b,713,a),rewrite([1702(10)])]. 63958 K(x,T(y,z) * (K(u,y) * w)) = K(x,T(T(y,u),z) * w). [para(163(a,1),713(a,2,2,1)),rewrite([853(4),5795(4),407(4),928(9),37428(10)])]. 63974 K(x,T(T(y,z),y * u) * w) = K(x,T(T(y,z),u) * w). [para(4706(a,2),713(a,2,2,1)),rewrite([14921(5),24596(7),11243(6),5351(6),63958(5),1323(9)]),flip(a)]. 64000 K(x,T(y * a(z,u,w),v5)) = K(x,T(y,v5)). [para(280(a,2),713(a,2,2)),rewrite([9599(5),1579(3),5264(5)]),flip(a)]. 64014 K(x,T(T(y,y * z),u) * w) = K(x,T(T(y,u),z) * w). [para(3780(a,2),713(a,1,2,2,1)),rewrite([39275(6),980(2),47933(6),63974(10)])]. 64021 K(x,T(y / (y / z),u) * w) = K(x,T(T(z,u),y) * w). [para(3338(a,1),713(a,1,2)),rewrite([5340(5),478(5),29789(8),13069(7),1437(6),63958(6),64014(5)]),flip(a)]. 64050 K(x,T(y * (z * (y \ u)),w)) = K(x,T(T(z,y) * u,w)). [back_rewrite(39227),rewrite([63955(5)]),flip(a)]. 64334 T(x,y * (K(z,u \ 1) * w)) = T(x,K(u,z) * (y * w)). [para(979(a,1),720(a,2,2,2,2)),rewrite([1097(3),51209(12)])]. 64401 T(x,K(y,z) * (K(u,z) * w)) = T(x,K(z,y) * (K(z,u) * w)). [back_rewrite(63836),rewrite([64334(7)]),flip(a)]. 64768 K(x,y) * (z * T(u,K(x,y))) = T(z * (K(x,y) * u),K(x,y)). [para(209(a,1),728(a,1,1,2)),rewrite([6238(3),2305(3),1587(3)]),flip(a)]. 64779 a(x * (y * K(z,u)),w,v5) = a(x * y,w,v5). [para(728(a,1),851(a,1,1)),rewrite([52445(4)]),flip(a)]. 64809 T(x * (K(y,z) * u),K(y,z)) = u * (K(y,z) * T(x,u)). [para(1587(a,1),728(a,1,1,2)),rewrite([330(6),11126(9)])]. 64815 R(x,y * (z * K(u,w)),v5) = R(x,y * z,v5). [para(728(a,1),1857(a,1,2)),rewrite([1858(4)]),flip(a)]. 64978 (x \ R(y,z,u)) * (K(y,w) * v5) = (x \ R(T(y,w),z,u)) * v5. [para(9235(a,1),731(a,1,1,2)),rewrite([5264(8),9238(7),32(7)])]. 65008 (T(x,y) \ z) * L(T((x \ z) \ z,y),u,w) = L(x,u,w) * (x \ z). [hyper(507,a,5716,a,b,752,a),rewrite([3176(5),752(13),39939(12)])]. 65012 a(x,y,z) * L(T(u,w),v5,v6) = T(a(x,y,z) * L(u,v5,v6),w). [hyper(507,a,280,a,b,752,a),rewrite([752(9),30255(8)])]. 65044 K(x,y) * ((L(x,z,u) * w) * v5) = (L(T(x,y),z,u) * w) * v5. [para(752(a,1),3514(a,1,1)),rewrite([301(7)]),flip(a)]. 65091 T(x,y) * (L(T(y,x),z,u) * w) = x * (L(y,z,u) * w). [para(752(a,1),2189(a,1,2))]. 65301 T(x * y,K(z,u)) / T(y,K(z,u)) = T(x,K(z,u)). [para(3096(a,1),4172(a,2,2)),rewrite([44(2),46(2),45(2),155(3),1841(6),12606(4),928(7),3081(7)]),flip(a)]. 65418 L(K(x,y) * (z \ u),z,z) = (K(x,y) / z) * u. [para(2016(a,2),3515(a,2,1)),rewrite([774(3),872(6),923(9),5876(9),37501(9),5876(8),3262(7),9612(9)])]. 65457 (a(x,y,z) \ u) \ K(w,v5) = a(x,y,z) * (u \ K(w,v5)). [para(2016(a,2),287(a,2,2)),rewrite([679(4),3300(6),299(3),8199(4),55769(12),27138(10),682(10),2141(9)])]. 65558 (x * (R(y,z,u) * w)) \ ((x * w) * R(T(y,w),z,u)) = a(x,w,L(y,z,u)). [para(4953(a,1),25(a,1,1,2)),rewrite([2536(11),811(11)])]. 65598 (x \ y) * R(T((x \ y) \ y,z),u,w) = R(T(x,z),u,w) * (x \ y). [para(4706(a,1),4953(a,1,2,1))]. 65709 x * a(y,z,z \ (y \ x)) = (y * z) * (z \ (y \ x)). [hyper(735,a,5973,a)]. 65711 ((x * y) \ z) \ (y \ (x \ z)) = a(x,y,y \ (x \ z)). [hyper(507,a,9237,a,b,5973,a),rewrite([3869(3),5973(10)])]. 65713 ((x * y) * (y \ (x \ z))) / z = a(x,y,y \ (x \ z)). [hyper(507,a,671,a,b,5973,a),rewrite([22(7),22(6),5973(10)])]. 65756 a(x,y,y \ (x \ z)) * ((x * y) \ z) = y \ (x \ z). [para(5973(a,2),12672(a,1,1)),rewrite([5973(5),3869(6)])]. 65780 ((1 / (x * y)) * (x * (y * z))) \ L(z,y,x) = a(y \ x,x * y,z). [para(626(a,2),5844(a,1,2,1)),rewrite([626(8),5644(10),8836(12)])]. 65884 a(x,L(T(y,z),u,w) * v5,v6) = a(x,L(y,u,w) * v5,v6). [para(752(a,1),5843(a,1,2,1,2)),rewrite([302(6),763(6),65044(5),25(11),302(10),52453(9)])]. 66062 x * a(y,z,L(u,w * x,w)) = w * (a(y,z,u) * (w \ x)). [hyper(507,a,291,a,b,5867,a),rewrite([8871(7),9200(7)]),flip(a)]. 66076 T(x,y) * L(z,u \ x,u) = u * ((u \ T(x,y)) * z). [hyper(152,a,1575,a,b,5867,a),rewrite([6503(3),6503(5),298(5),17770(5)])]. 66092 x * ((T(x,y) \ y) * z) = x * ((x \ T(y,x)) * z). [para(200(a,2),5867(a,1,2,2)),rewrite([5788(4),52902(4)])]. 66261 K(x * (y * (z * (u / (x * (y * z))))),w) = K(u,T(w,x * (y * z))). [para(5842(a,1),1577(a,1,1)),rewrite([306(7),36964(12),10081(12),28989(12),6357(11)]),flip(a)]. 66307 L(x,L(y,y,z),z) = L(x,y,z). [hyper(507,a,13138,a(flip),b,5840,a),rewrite([8535(4),6570(7),19078(6),8043(6),27(7),4179(3)]),flip(a)]. 66483 L(x,y,z) * (T(x,u) * w) = x * (L(T(x,u),y,z) * w). [para(25824(a,1),5868(a,1,2,1)),rewrite([4709(6),58693(4),4709(8)])]. 66494 L(T(x,y),z,u) * (x * w) = x * (L(T(x,y),z,u) * w). [back_rewrite(58693),rewrite([66483(8)])]. 66749 L(x,y,(((z * z) \ u) * w) * v5) = L(x,y,(u * w) * v5). [para(5726(a,1),3158(a,1,3)),flip(a)]. 66750 L(x,y,(z * (z * u)) * w) = L(x,y,L(u,z,z) * w). [para(5835(a,1),3158(a,1,3))]. 66758 L(x,y,z * ((u * u) * w)) = L(x,y,w * z). [para(14885(a,1),3158(a,1,3)),rewrite([5787(9)])]. 66793 (x * (y * (z * a(u,w,u)))) * v5 = (x * (y * z)) * (a(u,w,u) * v5). [para(2382(a,1),7237(a,1,1,2)),rewrite([8871(7),2743(7),508(8),8871(10),2743(10)])]. 67014 (a(x,y,x \ 1) \ z) \ u = z \ (a(x,y,x \ 1) * u). [hyper(152,a,3270,a(flip),b,5823,a)]. 67019 (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). [hyper(152,a,463,a(flip),b,5823,a),rewrite([2372(6)])]. 67035 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [para(5823(a,1),305(a,1,2)),rewrite([5326(3)]),flip(a)]. 67054 T(x * K(y,x),z) \ (T(x,z) * u) = K(x,T(y,z)) * u. [para(232(a,1),5823(a,1,1,1)),rewrite([1104(3),853(2),232(8),927(7),302(6)]),flip(a)]. 67087 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [para(9237(a,1),5823(a,1,1,1)),rewrite([9237(4),13268(5),2079(4),43010(4),6831(6)])]. 67285 K(x \ y,x) * T(y,z) = (x \ y) * (x * K(y,z)). [para(1463(a,1),2193(a,1,1)),rewrite([682(8)])]. 67363 (x * x) \ T(x,y) = K(x,y) / x. [para(3396(a,1),2193(a,1,1)),rewrite([3395(5),2675(7)])]. 67731 T(x,y) * (T(x * K(z,x),y) \ u) = K(x,T(z,y)) * u. [para(195(a,1),2191(a,1,1)),rewrite([853(10),179(10),615(8)])]. 67826 K(x,T(y,z)) * (K(x,z) * u) = T(T(x,z),y) * (x \ u). [para(2191(a,1),2299(a,1,2)),rewrite([853(2)])]. 67847 K(x,y) * (K(y * K(z,u),x) * w) = K(x,K(z,u)) * w. [para(441(a,1),2191(a,1,1)),rewrite([774(9),763(10),61082(9),45(3),47343(6),6201(6),45(12),1222(11),853(8),45(9),348(9)])]. 67860 (x \ (y \ z)) * K(y,T(y \ z,u)) = x \ T(z / y,K(y,u)). [para(2191(a,1),710(a,1,2,1)),rewrite([762(4),10075(4),853(9)]),flip(a)]. 67888 K(x \ y,z) * (y * u) = y * (K(y / x,z) * u). [para(3089(a,1),3514(a,1,1)),rewrite([301(6),763(4)]),flip(a)]. 68087 K(x,T(y * z,u * (w * z))) = K(x,T(z * y,u * w)). [para(26493(a,1),3074(a,1,1,2)),rewrite([3074(6),5795(4),5795(9)]),flip(a)]. 68261 T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). [para(2192(a,1),153(a,1,1)),rewrite([1105(3),3014(3),44(9),41396(8),5902(8),1705(8),46(7),62752(8),63692(7)]),flip(a)]. 68692 L(T(x,x \ (y \ z)),x \ (y \ z),y) = (y * (x \ (y \ z))) \ z. [para(741(a,2),3869(a,1,1))]. 68700 K(x,y \ z) * ((z / y) \ u) = T(z / y,T(x,y)) \ u. [para(3356(a,1),3869(a,2,1)),rewrite([1104(5),919(9),302(9)])]. 68701 (x / y) \ (K(z,y \ x) * u) = T(x / y,T(z,y)) \ u. [para(3350(a,1),3869(a,2,1)),rewrite([1104(4),301(9)])]. 68719 T(x,x \ (y \ z)) * ((y * x) \ z) = x * L((y \ z) / x,x,y). [para(3869(a,1),14425(a,1,2))]. 68759 T(x / y,z) \ (K(y,y \ x) * u) = T(y \ x,T(z,y)) \ u. [para(548(a,1),3869(a,2,1)),rewrite([1104(5),301(11)])]. 68794 x * (T(T(x,y),y) \ (y \ z)) = ((T(x,y) * y) / x) \ z. [para(14443(a,1),3869(a,2,1)),rewrite([774(5),1104(4),2973(5),872(9),302(7)])]. 68814 K(x \ y,x) * ((z \ y) \ u) = (z \ (x * (y / x))) \ u. [para(707(a,1),3869(a,2,1)),rewrite([1104(5),302(9)])]. 68816 K(x,y) * (z \ (K(y,x) * u)) = T(z,K(y,x)) \ u. [para(3096(a,1),3869(a,2,1)),rewrite([1104(4),774(5),301(9),749(7)])]. 69269 R(T(x,y),z,u) \ (R(x,z,u) * w) = K(y,x) * w. [para(32(a,1),2427(a,1,1)),rewrite([12609(7)])]. 69278 T(x * y,z) \ (x * (y * u)) = L(K(z,x * y) * u,y,x). [para(3514(a,1),2427(a,1,2)),rewrite([676(9)])]. 69299 T(x,y) \ (T(z / (z / x),y) * u) = K(x \ z,T(x,y)) * u. [para(14195(a,1),2427(a,1,1)),rewrite([14052(11),16771(10),3353(9)])]. 69352 K(x,T(y,z)) * (K(z,y) * u) = T(T(y,z),x) \ (y * u). [para(2189(a,1),2427(a,1,2)),flip(a)]. 69382 T(x,y) \ (z * ((z \ x) * u)) = L(K(y,x) * u,z \ x,z). [para(5867(a,1),2427(a,1,2)),rewrite([676(9)])]. 69401 (T(x,y) * z) \ T(T(x,u),y) = (x * z) \ T(x,T(u,y)). [hyper(507,a,4597,a,b,4214,a),rewrite([853(7),927(10),4214(9)])]. 69627 L(x,(y * y) \ z,a(u,w,v5)) = L(x,z,a(u,w,v5)). [hyper(152,a,285,a(flip),b,5643,a),rewrite([5726(13),285(10)])]. 69650 (T(x * x,y) \ z) \ u = z \ (T(x * x,y) * u). [para(231(a,2),5643(a,1,1,1)),rewrite([37491(5),923(10),2299(9)])]. 69653 T((x * x) \ y,K(z,u)) \ w = T(y,K(z,u)) \ ((x * x) * w). [para(13898(a,1),5643(a,1,1)),rewrite([1010(8),5902(9),16960(8),348(8),46(7),45(7),155(8)])]. 69660 R((x * x) \ y,z,u) \ w = R(y,z,u) \ ((x * x) * w). [para(9235(a,1),5643(a,2,1)),rewrite([42500(4)])]. 69682 x \ T(y * (y * K(x,y * y)),z) = (x / T(y * y,z)) \ 1. [back_rewrite(33581),rewrite([69650(6),30199(5),682(4)])]. 69691 K(x * (y * (z * (u / ((x * y) * z)))),w) = K(u,T(w,x * (y * z))). [para(7088(a,2),1577(a,1,1)),rewrite([7088(6),5292(9),5297(10),13223(5),8199(4),5301(6),36964(11),6357(11),52591(11)]),flip(a)]. 69742 L(x,y,y) \ (((y * y) \ z) * u) = (y * (y * x)) \ (z * u). [para(4594(a,1),5816(a,2,2)),rewrite([497(8)])]. 69750 ((x * y) * x) \ ((x * y) * z) = L(x \ z,x,x * y). [para(2074(a,1),5816(a,1,1,1)),rewrite([2074(3),1947(5),502(6)]),flip(a)]. 69834 L(L(x \ y,x,z),z * x,z * x) = (1 / (z * x)) * (z * y). [hyper(507,a,5876,a(flip),b,5814,a),rewrite([3262(5)]),flip(a)]. 70018 T(x,K(y,z)) * (K(y,T(z,u)) * w) = K(y,T(z,u)) * (x * w). [para(431(a,1),2190(a,1,2,1)),rewrite([9942(5),44(4),1112(3),763(6),3100(7),928(10)])]. 70149 ((x * y) * z) / T(R(x,y,z) * y,z) = L(z,y,x). [hyper(152,a,863,a,b,13214,a),rewrite([13214(9),298(6)])]. 70268 R(T(x,y),x \ z,u) \ (z * u) = (T(x,y) \ z) * u. [para(32(a,2),5804(a,1,1)),rewrite([6390(3),32(3)])]. 70331 ((x \ y) * z) * R(x,x \ y,z) = (x \ (y * z)) * x. [para(5804(a,1),1582(a,1,2,1)),rewrite([12609(6),22503(4),682(5),31344(5),5804(7)]),flip(a)]. 70338 (x / y) \ ((y \ x) * z) = K(y \ x,y) * z. [para(1697(a,1),5804(a,1,1,2)),rewrite([12606(4),1697(7)])]. 70374 x \ (T(T(x,y),T(z,y)) * u) = K(x,y) * (K(x,z) * u). [para(53718(a,1),5804(a,1,1,2)),rewrite([61902(4),12606(2),53718(9),763(9)])]. 70393 (x \ 1) * (y * (y * K(z,u))) = (x \ K(z,u)) * (y * y). [para(2016(a,1),5804(a,1,2)),rewrite([1838(4),683(8),4464(6),682(6),682(5)])]. 70455 x / (a(y,z,u) * x) = a(y,z,u) \ 1. [para(296(a,1),4358(a,1,2)),rewrite([5238(5),45848(5),296(8)]),flip(a)]. 70499 R(T(x,x \ 1),x,y) = R(x,x \ 1,x * y). [para(3866(a,1),4358(a,2,2)),rewrite([9009(8),8826(6),373(5),3264(16),882(14),2839(11),13396(11),9299(10),13448(8)]),flip(a)]. 70626 a(x,y,L(z,u,x * u)) = a(x,y,L(z,u,u)). [para(5936(a,1),3266(a,1,1)),rewrite([4735(5),13263(3),13265(7),3264(6)]),flip(a)]. 70689 a(x,y,y \ 1) \ K(x,z) = y * ((x * y) \ T(x,z)). [para(4214(a,2),5936(a,1,1,3)),rewrite([4214(3),2007(4),6413(3),7329(3),13609(5)])]. 70864 R(x,x \ y,y \ (x * z)) * z = y * ((x \ y) \ z). [hyper(507,a,271,a,b,5931,a),rewrite([271(15),8003(7),22(2),6387(9),8826(8),1857(8)]),flip(a)]. 70912 R(T(x,y),x \ 1,(x \ K(y,x)) \ z) * z = (T(x,y) \ 1) \ z. [para(14334(a,1),5931(a,2,1)),rewrite([10399(7),1848(7),1838(7),9613(15),18497(13)])]. 70994 R(x,y * z,z \ (y \ z)) * z = (x * (y * z)) * ((y * z) \ z). [para(47085(a,2),5931(a,1,1,3)),rewrite([749(5),50160(5),7726(4)])]. 71268 (((x * x) \ y) * x) * x = R(T(y,x * x),x,x). [hyper(152,a,5876,a(flip),b,5711,a),rewrite([5876(3)])]. 71269 x \ ((y * (x / z)) * z) = R(T(y,x),z \ x,z). [para(24(a,1),5711(a,1,1)),rewrite([24(6),1848(7)])]. 71509 x * ((y \ z) * R((y \ z) \ (x \ z),u,w)) = (x * R(x \ y,u,w)) * (y \ z). [para(5933(a,1),5799(a,1,1,1)),rewrite([5710(7),5481(7),5710(10)])]. 71791 K(x,x \ y) * ((y / (y / x)) * z) = x * z. [para(13999(a,1),4474(a,1,1,1)),rewrite([12602(3),1104(6)])]. 71860 R(K(x,y) / z,z,u) \ u = z * (K(y,x) * u). [para(12604(a,1),4474(a,1,2)),rewrite([1839(5)])]. 72062 a(x,x * y,L(z,y,y)) = a(x,x * y,L(z,x,y)). [para(3140(a,1),14805(a,1,1,1)),rewrite([24(8),19(7),13767(7),13264(4),850(8),3266(8)])]. 72070 (x / (y * x)) * ((y * x) * z) = x * L(z,y * x,L(y,y,x)). [para(3140(a,1),14822(a,2,1)),rewrite([24(3),19(2),7684(5),4628(5)]),flip(a)]. 72168 K(x,x \ y) / (z * (y / x)) = 1 / (z * (x \ y)). [para(4715(a,1),4357(a,1,1,1)),rewrite([1859(6),4357(6)]),flip(a)]. 72180 R(a(x,y,x) \ ((z / u) / w),w,u) = a(x,y,x) \ (z / (w * u)). [para(2388(a,1),4357(a,2,2)),rewrite([2361(4),4113(7),2361(9)])]. 72181 x / (y * (a(z,u,z) * w)) = a(z,u,z) \ (x / (y * w)). [para(2358(a,1),4357(a,2,2)),rewrite([2360(4),38846(7),72180(5)]),flip(a)]. 72185 (x / (y * z)) * K(y,K(u,w)) = x / (T(y,K(u,w)) * z). [para(3103(a,1),4357(a,2,2)),rewrite([45(4),1105(5),44(4),46(4),45(4),45(7),12606(9)])]. 72560 T(x * K(y,z),T(z,y)) = T(K(y,z) * x,z). [para(3157(a,1),503(a,1,1)),rewrite([6629(7)])]. 72934 L(1 / (1 / x),x,x) = (x \ 1) * (x * x). [para(14782(a,1),4952(a,1,1)),rewrite([17329(3),14952(6)])]. 73207 K(x,(T(y,z) \ u) * y) = K(x,T(u * K(z,y),y)). [para(5505(a,1),436(a,1,2,1)),rewrite([682(8),2141(7),1187(7),5911(6),67035(6),373(2),41402(4),1383(11),20(8),12851(9)]),flip(a)]. 73389 x \ T(x * T(y,x \ 1),z) = T(x \ T(x * y,z),x \ 1). [hyper(507,a,1098,a(flip),b,4870,a),rewrite([12319(7),373(3),19(5),1098(13),12319(16),373(12),19(14)]),flip(a)]. 73681 x * T(x \ y,K(z,x)) = T(y,K(z,x)). [para(26(a,1),5637(a,1,2)),rewrite([26(3),749(2),302(5),26(7),11290(7),10316(8),261(8),5793(7),22(5)]),flip(a)]. 73691 T((x * x) \ y,x \ (x \ z)) = z \ (y * ((x * x) \ z)). [para(4594(a,1),5637(a,2,2)),rewrite([1007(5),497(9)])]. 73772 ((x * y) / x) \ (z * y) = T(K(y,x) * z,y). [para(153(a,2),5827(a,2,1)),rewrite([1104(3),3211(3),302(5)]),flip(a)]. 74227 T(x / ((y \ z) \ z),T(y,z)) = T(y,y \ z) \ x. [hyper(507,a,503,a,b,5668,a),rewrite([12923(6),14926(6)])]. 74420 L(T(x,x \ y),z,u) * (((x \ y) \ y) \ w) = L(x,z,u) * (x \ w). [para(5668(a,1),5716(a,2,2)),rewrite([3176(7),65008(9)]),flip(a)]. 74776 T(x,x \ y) * T(z,T(x,y)) = z * ((x \ y) \ y). [hyper(152,a,502,a,b,5670,a),rewrite([1779(5),1953(5)])]. 75363 (x / ((y \ z) \ z)) * L((y \ z) \ z,u,w) = L(y,u,w) * (y \ x). [para(7671(a,2),512(a,1,1)),rewrite([74420(7)]),flip(a)]. 75489 (x \ a(y,z,u)) * ((x \ 1) \ 1) = a(y,z,u). [hyper(507,a,13508,a,b,2900,a),rewrite([13508(2),5259(5),4398(9)]),flip(a)]. 75728 T(x,T(y,z) * T((z \ u) \ u,w)) = T(x,T(T(z,w),z * u) * y). [para(4067(a,1),23208(a,1,2,1,1)),rewrite([51811(7),1600(5)]),flip(a)]. 75856 ((x \ y) \ y) * T(T(x \ y,x),z) = y * K(y / x,z). [para(2195(a,2),171(a,2,2,1)),rewrite([391(3),2191(5),3089(3)]),flip(a)]. 75909 K(x,y * T(z \ u,u)) = K(x,y * (u / z)). [para(2195(a,1),16981(a,2,2,2)),rewrite([16981(5),1656(4),11453(8),13650(8)]),flip(a)]. 75931 K(T(x \ y,y) * z,u) = K(y * (x \ z),u). [para(2195(a,1),392(a,1,1,2)),rewrite([1787(7),11928(7),1644(7),28818(6),31978(8)])]. 76096 L((x \ y) \ y,z,u) * (x \ (x \ y)) = (L(x,z,u) * (x \ y)) / x. [para(4085(a,1),5716(a,1,1)),rewrite([4085(6),5487(8),5716(5),4085(11)]),flip(a)]. 76106 (L(x,y,z) * (x \ u)) / x = L(x,y,z) * (x \ (u / x)). [para(4085(a,1),512(a,1,2)),rewrite([76096(6),75363(12)])]. 76121 L((x \ y) \ y,z,u) * (x \ (x \ y)) = L(x,z,u) * (x \ (y / x)). [back_rewrite(76096),rewrite([76106(10)])]. 76900 (x / y) / ((y \ x) \ x) = (y \ x) / y. [hyper(152,a,5669,a(flip),b,4955,a)]. 77095 K(x,T((y \ (z \ u)) / w,z * y)) = K(x,u / (z * (y * w))). [para(5842(a,1),3354(a,2,1)),rewrite([1010(11),1010(11),36964(11),10081(11),28989(11),6357(10),66261(10),16118(7),306(13)])]. 77102 K(x,y / ((z * u) * w)) = K(x,y / (z * (u * w))). [para(7088(a,2),3354(a,2,1)),rewrite([1010(10),10761(10),36964(10),6357(10),52591(10),69691(10),16118(7),77095(6),7088(10),5297(14),13223(9),8199(8),5301(10)]),flip(a)]. 77331 R(R(T(x / y,y * z),u,w),y,z) = R((y * z) \ (x * z),u,w). [para(5537(a,1),36(a,1,1)),flip(a)]. 77338 T(x / y,K(z,u) * y) = T(y \ x,K(z,u)). [para(168(a,2),5537(a,1,1)),rewrite([12605(6),679(9),774(7),682(9),3096(9),749(7)])]. 77394 (x \ (K(y,z) * u)) * K(z,T(y,x)) = T(x \ u,K(z,y)). [para(1587(a,1),5537(a,1,1,2)),rewrite([77338(4),12605(6),1587(6),679(9),923(6)]),flip(a)]. 78021 (L(x \ y,z,u) * x) \ (L(x \ y,z,u) * y) = T(y / x,y). [hyper(152,a,3515,a(flip),b,2864,a),rewrite([8303(10),7449(10)])]. 78043 L(x * a(y,z,x),u,L(x,z,y)) = L(x * a(y,z,x),u,x). [para(13405(a,1),2864(a,1,3)),rewrite([11788(8)]),flip(a)]. 78256 (1 / x) \ a(y,z,L(u,x,x)) = a(y,z,u) * x. [hyper(507,a,280,a,b,3275,a),rewrite([8871(6)]),flip(a)]. 78287 (x \ 1) \ L(y,x,x) = T(x,x \ 1) * y. [para(863(a,1),3275(a,1,1)),rewrite([927(9),883(6)])]. 78310 L(x * K(y * x,z),y,y) = (1 / y) * T(y * x,z). [para(3275(a,1),3856(a,1,2,1)),rewrite([3275(10),677(9)]),flip(a)]. 78312 (x \ 1) * R((x \ 1) \ y,z,u) = x * R(x \ y,z,u). [para(5819(a,2),3275(a,1,2)),rewrite([5876(5),3262(4),4925(7),12405(7)])]. 78378 1 / (a(x,y,z) \ u) = (1 / u) * a(x,y,z). [para(295(a,1),3276(a,1,2)),rewrite([8424(6),13188(6),299(3),7054(5),9576(4),13333(5),13312(3)]),flip(a)]. 78438 x \ T(x * (1 / y),y) = 1 / ((y \ x) \ x). [para(2900(a,1),3276(a,1,2)),rewrite([922(7),882(5),5852(3),4274(5)])]. 78454 ((1 / x) * y) * L(L(z,y,x),u,w) = (1 / x) * (y * L(z,u,w)). [hyper(507,a,5868,a,b,3277,a),rewrite([919(6),3264(6),3277(10)])]. 78541 L(L(x,y,z) \ u,x,x) = (1 / L(x,y,z)) * u. [para(276(a,2),3277(a,1,1)),rewrite([276(3),8192(5)])]. 78548 (1 / x) * T(x * (y * (x \ 1)),z) = L(T(y,z) * (x \ 1),x,x). [para(5508(a,1),3277(a,1,1)),flip(a)]. 78560 L(R(x,y,z) \ u,x,x) = (1 / R(x,y,z)) * u. [para(468(a,2),3277(a,2,1)),rewrite([2535(5),4179(5),8192(5),468(10)])]. 78609 K(x,y) * (((1 / z) * u) * w) = ((K(x,y) / z) * u) * w. [para(3277(a,1),730(a,2,2,1)),rewrite([65418(4)]),flip(a)]. 78742 (a(x,x,y) / x) * (x * y) = y. [hyper(735,a,5063,a)]. 78830 T(a(x,x,y) / x,x * y) = (x * y) \ y. [para(5063(a,1),741(a,1,2)),rewrite([5063(7)])]. 78843 (1 / x) \ a(y,y,z) = x * a(y,y,z). [para(9228(a,1),5063(a,1,1,1))]. 78899 (a(x,x,y) / x) * ((x * y) * z) = y * L(z,x * y,L(x,x,y)). [para(5063(a,1),5867(a,1,2,2)),rewrite([919(4),13393(4),5063(9)]),flip(a)]. 78964 a(x,x,y) / (y / (x * y)) = 1 / (1 / x). [para(5064(a,1),166(a,1,2)),rewrite([5269(7),1473(8)])]. 78994 a(x,y,y) \ (a(x,y,y) / z) = 1 / z. [para(9224(a,1),5064(a,1,1)),rewrite([10460(6)]),flip(a)]. 79133 a(x,x,y) * K(x,z) = (y / (x * y)) * T(x,z). [para(5064(a,1),2193(a,1,1)),flip(a)]. 79277 (a(x,x,y) \ (z * (y / (x * y)))) * x = R(z,y \ (x \ y),x). [para(5068(a,1),5964(a,1,1,2)),rewrite([299(6),5219(6),5068(12),1848(9),7723(9)])]. 79304 (x / (y * x)) \ K(y \ 1,y) = (a(y,y,x) \ 1) / (1 / y). [para(5068(a,1),4710(a,2,2,2)),rewrite([78964(5),9761(8),2429(11)]),flip(a)]. 79361 R(x / (y / (z * y)),y \ (z \ y),z) = (a(z,z,y) \ x) * z. [para(5068(a,1),5775(a,1,3)),rewrite([1848(6),7723(6),5068(10),299(9),5219(9)])]. 79380 (x / ((y * y) * (z * x))) * ((y * y) * z) = a(z,(y * y) * z,x). [hyper(507,a,5961,a,b,5069,a),rewrite([14(6),14(11),14(12),5873(13),21(12),5961(9),14(6)]),flip(a)]. 79381 (L(x,y,z) / (z * (y * x))) * (z * y) = a(y \ z,z * y,x). [hyper(507,a,5844,a,b,5069,a),rewrite([5644(10),65780(8),3514(7)]),flip(a)]. 79476 a(x,x,y) \ x = (y / (x * y)) \ 1. [para(5069(a,1),25517(a,1,1,2,1)),rewrite([303(4),5068(4),5315(5),303(2),299(2)])]. 79511 T(x / (y * x),z) \ a(y,y,x) = y * K(z,y \ 1). [para(5069(a,1),2427(a,1,2)),rewrite([2543(8),3087(9),1097(8)])]. 79523 a(x,x,y) \ (z * (y / (x * y))) = z * (1 / x). [para(5069(a,1),5827(a,2,1)),rewrite([2671(3),919(7),5523(7),8040(7),3277(5),26198(6),108(5),378(5)]),flip(a)]. 79530 R(x,y \ (z \ y),z) = R(x,z \ 1,z). [back_rewrite(79277),rewrite([79523(5),3984(4)]),flip(a)]. 79532 R(x / (y / (z * y)),z \ 1,z) = (a(z,z,y) \ x) * z. [back_rewrite(79361),rewrite([79530(6)])]. 79597 (1 / x) \ T(y,x) = y * R(x,x,y). [para(5070(a,2),203(a,2,2)),rewrite([3153(8),492(7),2122(5)])]. 79600 R(x \ 1,x \ 1,y) = (x \ y) / y. [para(391(a,1),5070(a,2,1,1))]. 79686 a(x,y,z) / R(1 / x,y,z) = 1 / (1 / x). [para(9234(a,1),5070(a,2,1)),rewrite([7328(4),11287(4),9590(4),17329(3),850(7),3266(7)]),flip(a)]. 79739 ((x \ y) * x) / T((1 / x) * y,x) = R(x,x,x \ y). [para(5505(a,1),5070(a,2,1)),rewrite([492(7),1860(5),1844(4),9009(4),492(6),492(7),492(11)]),flip(a)]. 79786 R(x,x,y) * (y * K(z,u)) = ((1 / x) \ y) * K(z,u). [hyper(507,a,679,a(flip),b,5072,a),rewrite([1841(8)]),flip(a)]. 79868 R((x * x) \ y,y,z) * z = (x * x) \ ((1 / y) \ z). [para(5072(a,1),5876(a,1,2)),rewrite([5159(8)]),flip(a)]. 79874 a(x \ y,z,a(y,x,x)) = 1. [para(5072(a,1),5180(a,1,1)),rewrite([2536(6),8789(6),5817(5),4786(5),8149(5),900(5),4738(5)])]. 79906 L(x,a(y,y,z),y \ z) = x. [para(5072(a,1),43580(a,1,3)),rewrite([5817(3),9277(3),13265(2),8208(2),6051(5),4679(5)])]. 80012 (a(x,y,z) * u) * (w / (a(x,y,z) * u)) = u * (w / u). [para(5271(a,1),203(a,1,2)),rewrite([1010(4),9600(4),203(3)]),flip(a)]. 80102 (a(x,y,z) \ u) * R(T(w,u),v5,v6) = R(w,v5,v6) * (a(x,y,z) \ u). [para(5279(a,1),4953(a,1,2,1))]. 80520 L(x,x,L(L(y,x,z),u,w)) = L(x,x,L(y,u,w)). [para(35(a,1),8068(a,1,3))]. 80654 a(x \ y,y \ x,z) = a(y \ x,y \ x,z). [para(5637(a,1),8208(a,1,3)),rewrite([13397(7),42589(5),814(8)])]. 80683 L(x,y \ z,(y \ z) * z) = L(x,y \ z,y). [hyper(507,a,14651,a,b,8300,a),rewrite([14651(6),8424(6),13188(6),1504(8),4676(8),1504(6)]),flip(a)]. 80698 L(x,y \ 1,L(z,y,y)) = L(x,y \ 1,z). [para(3264(a,1),8300(a,1,3)),rewrite([9061(6),20(4)])]. 80708 L(x,y,L(y \ z,u,w)) = L(x,y,L(y * z,u,w)). [para(5819(a,2),8300(a,1,3)),rewrite([5876(3),3262(2),2535(5),4625(5),2535(6)]),flip(a)]. 80722 a(x,y,a(z,u,a(y,y,w))) = 1. [hyper(152,a,13446,a,b,8414,a),rewrite([5242(3),3154(4),8947(4),8982(2)])]. 80726 a(x,y,a(z,u,L(y,y,w))) = a(x,y,a(z,u,y)). [hyper(141,a,8414,a),rewrite([8871(3),8871(2)])]. 80729 L(x,y,a(z,y,a(u,w,y))) = x. [para(8414(a,1),9235(a,1,1)),rewrite([19(2),5242(3)]),flip(a)]. 80864 a(x,y,a(z,u,L(y,x,w))) = a(x,y,a(z,u,y)). [hyper(141,a,8714,a),rewrite([8871(3),8871(2)])]. 80868 a(x,y,a(y,z,a(u,u,w))) = 1. [para(3266(a,2),8714(a,1,3)),rewrite([8846(4),19(2)])]. 81016 L(x,y,a(y,z,a(z,u,w))) = x. [para(8787(a,1),9235(a,1,1)),rewrite([19(2),5242(3)]),flip(a)]. 81037 L(x,y,a(y,z,a(u,w,w))) = x. [para(25(a,2),8788(a,1,3)),rewrite([5644(7),14620(5),8871(2),27655(4)])]. 81074 a(x,y,(x \ 1) * z) = a(x,y,x \ z). [para(3277(a,1),8789(a,1,3)),rewrite([785(4)])]. 81235 a(x,y,a(z,u,a(x,w,v5))) = 1. [para(9234(a,2),8791(a,1,3)),rewrite([5242(2),8947(3)])]. 81275 R(x,y,(x * z) \ u) = R(x,y,z \ (x \ u)). [para(5758(a,1),8825(a,1,3)),rewrite([1860(4),1860(7)])]. 81278 R(x,y,z * a(x,u,z)) = R(x,y,z). [para(13405(a,1),8825(a,1,3)),flip(a)]. 81521 a(x,y,a(z,x,a(u,u,w))) = 1. [hyper(152,a,13446,a,b,8894,a),rewrite([5242(3),3154(4),8947(4),8982(2)])]. 81560 R(x,(x \ 1) * y,z) = R(x,x \ y,z). [para(3515(a,1),9220(a,1,2)),rewrite([5876(3),3262(2),10896(4)])]. 81577 a(x,(x \ 1) * y,z) = a(x,x \ y,z). [hyper(507,a,5970,a,b,9221,a),rewrite([5970(5),3277(4),2332(6)]),flip(a)]. 81581 a(x,L(y,x \ 1,x),z) = a(x,y,z). [hyper(507,a,3266,a(flip),b,9221,a),rewrite([3264(8),3266(7)]),flip(a)]. 81602 a(x,x \ y,L(z,y,y)) = a(x,x \ y,L(z,x,y)). [back_rewrite(54556),rewrite([81577(5),81577(8)])]. 81603 L(x,y,a(y,y \ x,z)) = x. [back_rewrite(42717),rewrite([81577(4)])]. 81612 a(x,y \ z,(y \ 1) * z) = a(x,y \ z,y \ z). [para(3515(a,1),9240(a,1,3)),rewrite([5876(4),3262(3),785(5)])]. 81627 a(x,y,((y \ z) \ 1) * z) = a(x,y,y). [para(5940(a,1),9240(a,1,3)),rewrite([5876(8),3262(7),785(7),816(7),814(10),816(8)])]. 81640 a(x,x,(y * y) \ z) = a(x,x,y \ (y \ z)). [para(5758(a,1),9241(a,1,3)),rewrite([814(4),814(7)])]. 81642 R(x,x,L(y,z,z)) = R(x,x,y). [para(9241(a,1),9235(a,1,1)),rewrite([9235(2)]),flip(a)]. 81664 a(x,x \ 1,L(y,y,z)) = a(x,x \ 1,y). [hyper(152,a,3266,a(flip),b,9242,a),rewrite([3266(9)])]. 81725 L(x,x,y \ z) = L(x,x,y * z). [para(3515(a,1),9267(a,1,3)),rewrite([5876(3),3262(2),1504(4),4676(4)]),flip(a)]. 81738 L(x,x,L(y \ z,u,w)) = L(x,x,L(y * z,u,w)). [para(5819(a,2),9267(a,1,3)),rewrite([5876(3),3262(2),2535(5),4625(5),2535(6)]),flip(a)]. 81759 a(x,L(y,y,z),z \ 1) = a(x,y,z \ 1). [para(3264(a,1),9277(a,1,2))]. 81843 L(x,y \ z,y \ z) = L(x,y \ z,y * z). [para(3515(a,1),9343(a,1,3)),rewrite([5876(4),3262(3),1504(5),4676(5)]),flip(a)]. 81846 L(x,y \ (y \ z),L(z,y,y)) = L(x,y \ (y \ z),z). [para(5758(a,1),9343(a,1,3)),rewrite([927(7),3389(6),883(4),927(10),9586(9),883(8)]),flip(a)]. 81881 L(x,(y * z) \ u,(y * z) * u) = L(x,z \ (y \ u),z * (y \ u)). [back_rewrite(8242),rewrite([81843(5),81843(10)])]. 81882 L(x,(y \ z) \ u,(y \ z) * u) = L(x,z \ (y * u),z * (y * u)). [back_rewrite(8235),rewrite([81843(5),81843(10)])]. 81884 L(x,(y \ 1) * z,y * z) = L(x,y \ z,y * z). [back_rewrite(6120),rewrite([81843(8)])]. 81886 L(L(x,y,z),x \ u,x * u) = L((1 / (u / x)) * u,y,z). [back_rewrite(3326),rewrite([81843(4)])]. 81887 L(x,(y \ 1) * z,y) = L(x,y \ z,y). [hyper(507,a,14651,a,b,9344,a),rewrite([14651(6),3277(4),6909(6)]),flip(a)]. 81946 L(x,(y * x) \ z,y) = L(x,x \ (y \ z),y). [para(5758(a,1),9345(a,1,2)),rewrite([883(4),883(7)])]. 81970 L(x,L(y,z,x),z) = L(x,y,z). [para(9849(a,1),9236(a,1,1)),rewrite([9236(2)]),flip(a)]. 82002 a(x,y,a(z,z,a(u,y,w))) = 1. [hyper(744,a,12502,a,b,12672,a),rewrite([8982(4),8982(3)]),flip(a)]. 82006 (a(x,y,a(z,z,u)) * y) \ w = y \ (a(x,y,a(u,z,z)) * w). [hyper(152,a,3869,a(flip),b,12502,a),rewrite([13597(7)])]. 82014 x \ ((x * a(y,z,a(u,u,w))) * z) = a(y,z,a(u,u,w)) * z. [para(12502(a,1),3749(a,1,2)),rewrite([12503(4),6343(5)])]. 82106 a(x,x \ y,L(z,x,y)) = a(x,x \ y,z). [hyper(507,a,5970,a,b,13410,a),rewrite([5970(5),8303(5),8834(6)]),flip(a)]. 82118 a(x,y,y \ (x \ z)) = a(x,y,x \ (y \ z)). [para(5758(a,1),13410(a,1,3)),rewrite([814(4),8862(3),814(7)])]. 82138 a(x,x \ y,L(z,y,y)) = a(x,x \ y,z). [back_rewrite(81602),rewrite([82106(6)])]. 82173 L(x,y,(y * x) \ z) = L(x,y,x * (y \ z)). [para(5758(a,1),13453(a,1,3)),rewrite([927(4),927(7),8424(6)])]. 82192 x / L(y,z,y * (z \ x)) = (x / (z * y)) * z. [back_rewrite(38214),rewrite([82173(3)])]. 82194 L(x,y,x * (y \ z)) = ((z / (y * x)) * y) \ z. [back_rewrite(913),rewrite([82173(3)])]. 82266 a(x,a(y,x,a(z,z,u)),w) = 1. [hyper(744,a,13680,a,b,12672,a),flip(a)]. 82276 (x * a(y,x,a(z,z,u))) * w = x * (a(y,x,a(z,z,u)) * w). [para(13680(a,1),3514(a,1,2))]. 82313 a(x,y,(z * u) * (z \ 1)) = a(x,y,L(u,z,z)). [para(3275(a,1),790(a,1,3,1)),rewrite([786(5)])]. 82334 L(x,y,a(z * u,w,u * z)) = x. [para(809(a,1),463(a,1,3))]. 82335 a(x,y,(T(z,u) \ u) * w) = a(x,y,w * (z \ T(u,z))). [para(4059(a,1),809(a,1,3)),rewrite([785(4),786(8)])]. 82367 a(x,y,z * (a(u,w,u) * v5)) = a(x,y,v5 * z). [para(2388(a,1),809(a,1,3)),rewrite([2375(4)]),flip(a)]. 82368 a(x,y,z * (u * a(w,v5,w))) = a(x,y,z * u). [para(2388(a,2),809(a,1,3)),rewrite([2388(3),2375(4),2382(5)]),flip(a)]. 82450 a(x,y,L(z \ u,w,z * u)) = a(x,y,z \ u). [hyper(507,a,2079,a,b,813,a),rewrite([3310(3),813(6)])]. 82455 a(x,y,z \ u) \ (u / z) = L(u / z,y,x). [para(813(a,1),9236(a,1,1))]. 82602 K(x \ 1,y) * ((z * x) \ z) = L(T(x \ 1,y),x,z). [para(1589(a,1),82194(a,2,1,1,2)),rewrite([1503(9),4676(8),22(5),1105(8),763(9),3087(8),1097(7),893(10)]),flip(a)]. 82622 a(x,y,L(z,x,a(x,y,z) * (x \ u))) = (x * (R(x,y,z) \ u)) \ u. [para(9238(a,1),82194(a,2,1,1,2)),rewrite([8871(5),6353(8)])]. 83147 T(x,y) \ (T(T(x,z),y) * u) = K(x,T(z,y)) * u. [para(614(a,1),67054(a,1,1,1,2)),rewrite([3182(3),241(3),853(8),615(7)])]. 83287 x \ (T(T(x,y),z) * u) = T(T(x,y),z) * (x \ u). [para(83147(a,1),2192(a,1,2)),rewrite([53724(5)]),flip(a)]. 83302 T(T(x,y),T(z,y)) * (x \ u) = K(x,y) * (K(x,z) * u). [back_rewrite(70374),rewrite([83287(5)])]. 83305 (x * y) * a(y,z,z \ x) = (y * z) * (z \ T(x,y)). [hyper(735,a,14896,a)]. 83321 (x * y) \ ((y * (T(x,y) / z)) * z) = a(y,z \ x,z). [para(492(a,1),14896(a,1,2,2)),rewrite([2115(11),775(11),818(9),820(9)])]. 83379 x \ (((x / y) * (y / z)) * z) = a(y \ x,z \ y,z). [para(22(a,1),83321(a,1,1)),rewrite([10496(5)])]. 83395 L(x,y \ z,a(y,y \ z,z)) = x. [para(83321(a,2),8061(a,1,3)),rewrite([83321(10),8326(4),12749(4),889(5),1504(5),5089(5)])]. 83464 a((x * y) \ z,x,y) = a(x * (y \ z),x,y). [para(21(a,1),83379(a,2,2)),rewrite([7250(5),13766(5),8920(6),8301(6)])]. 84071 T(x,x \ y) * K(z,T(x,y)) = T(x * K(z,x),x \ y). [hyper(507,a,5671,a,b,19508,a),rewrite([67035(5),16960(5),391(7),391(7)])]. 84097 K(x / T(y * K(z,u),w),v5) = K(x * (T(y,w) \ K(u,z)),v5). [para(19508(a,1),359(a,1,1,2)),rewrite([1104(2),1104(4),682(6),1863(7),5206(8),774(6),60580(8),3014(4),32261(4),1105(7),1105(9),682(11),29449(13),1757(13)]),flip(a)]. 84137 K(x * (T(y,z) \ K(y,u)),w) = K(x / T(T(y,u),z),w). [back_rewrite(57233),rewrite([84097(5)])]. 84917 R(x,y,z \ (y \ z)) = R(x,y,y \ 1). [para(5068(a,1),71269(a,2,2)),rewrite([78964(5),79523(10),3984(8),492(4),1859(3),300(5),1859(6),7726(6)]),flip(a)]. 85358 T(x,T(y,z * (u / w))) = T(x,T(y,z * (w * u))). [para(7058(a,1),20021(a,1,2,2,2)),rewrite([20232(7),24635(5),12291(4),477(4),1277(4),1612(11),20(6),4831(10)]),flip(a)]. 85376 T(x,T(y,z * (u \ w))) = T(x,T(y,z * (u * w))). [para(26293(a,1),20021(a,2,2,2,2)),rewrite([1612(9),10307(9),682(7),50652(8),503(2),20191(7),9959(5),1277(4),9957(9),19843(9),7131(7)]),flip(a)]. 85423 T(x,T(T(T(y,z),u),w) * T(z,v5)) = T(x,T(z,v5) * T(T(y,u),w)). [para(4210(a,2),23273(a,1,2)),rewrite([853(5),853(5),5795(5),853(5),1094(4),60521(11),5866(9),40151(8)])]. 85425 T(x,y * T(T(z,z \ u),w)) = T(x,y * T(T(z,z * u),w)). [para(869(a,1),23273(a,1,2,1)),rewrite([11300(6),18549(6),226(6),11414(10),28654(12),36813(10)])]. 85439 T(x,y * T(T(z,z * u),w)) = T(x,y * T((z \ u) \ u,w)). [para(5671(a,1),23273(a,1,2)),rewrite([3176(4),3176(3),23208(6),11300(10),10407(10),85425(10)]),flip(a)]. 85441 T(x,y * T(T(z,u),w)) = T(x,y * T(z,w * u)). [para(5072(a,1),23273(a,2,2)),rewrite([1860(3),1860(2),12603(2),1860(6),1860(5),5210(6),23273(5),10695(10),5328(10),373(8)])]. 85447 T(x,T(T(y,z),u) * w) = T(x,T(y,z * u) * w). [back_rewrite(51811),rewrite([85423(6),85441(5),23284(5)]),flip(a)]. 85451 T(x,y * T((z \ u) \ u,w)) = T(x,y * T(z,w * u)). [back_rewrite(85439),rewrite([85441(5),11669(5)]),flip(a)]. 85462 T(x,y * T((z * u) / z,w)) = T(x,y * T(u,z * w)). [back_rewrite(51805),rewrite([85441(9)])]. 85476 T(x,T(y,z * (y * u)) * w) = T(x,T(y,z * u) * w). [back_rewrite(75728),rewrite([85451(6),23284(5),85447(9)]),flip(a)]. 85478 T(x,K(y,z) * (K(u,z) * w)) = T(x,K(z,u * y) * w). [back_rewrite(63830),rewrite([85447(5),2191(4)]),flip(a)]. 85499 T(x,T((y \ z) \ z,u) * w) = T(x,T(y,u * z) * w). [back_rewrite(37226),rewrite([85447(5),85476(5)]),flip(a)]. 85516 T(x,K(y,z) * (K(y,u) * w)) = T(x,K(y,u * z) * w). [back_rewrite(64401),rewrite([85478(5)]),flip(a)]. 85724 (x * (y \ (y / x))) * (z * K(x \ 1,x)) = a(y,x \ 1,x) \ z. [para(15109(a,1),3869(a,2,1)),rewrite([1104(9),4331(10),11905(6),682(8),301(17)])]. 85743 (((x \ 1) / y) * (y * x)) \ K(x \ 1,x) = a(y * x,y,x). [para(492(a,1),15123(a,1,1,2,1)),rewrite([492(18),850(13),8301(13),4735(13)])]. 86465 T(x,y * T(z,y * u)) = T(x,T(z,u) * y). [para(25682(a,2),11749(a,2,2,2,1)),rewrite([21(2),25682(7),85462(8)]),flip(a)]. 87391 K(T(T(x,y),z) \ u,w) = K(T(x,y * z) \ u,w). [hyper(507,a,13783,a,b,15337,a),rewrite([11300(5),13783(7),15337(9)]),flip(a)]. 87396 K(x / T(T(y,z),u),w) = K(x / T(y,u * z),w). [hyper(507,a,1696,a(flip),b,15337,a),rewrite([5795(10),23667(10),87391(9),16096(9)])]. 87439 K(x,T(T(T(y,z),u) \ w,v5)) = K(x,T(T(y,z * u) \ w,v5)). [para(15337(a,2),14188(a,1,1,1,2)),rewrite([87396(5),9840(5),14188(8)]),flip(a)]. 87555 K(x * (T(y,z) \ K(y,u)),w) = K(x / T(y,z * u),w). [back_rewrite(84137),rewrite([87396(9)])]. 87556 K(K(x,y) * (z / T(x,u)),w) = K(z / T(x,u * y),w). [back_rewrite(57402),rewrite([87396(9)])]. 87557 K(x / T(y,z * (u * z)),w) = K(x / T(y,u),w). [back_rewrite(57206),rewrite([87396(5),87396(5),5292(3)])]. 87576 K(x,T(y / T(T(z,u),w),v5)) = K(x,T(y / T(z,w * u),v5)). [back_rewrite(16147),rewrite([87439(6),16156(6)]),flip(a)]. 87611 K(x,T(T(y,z),u) \ w) = K(x,T(y,u * z) \ w). [back_rewrite(48309),rewrite([87576(5),9954(5)]),flip(a)]. 87660 K(x,K(y,z) * (T(z,u) \ w)) = K(x,T(z,y * u) \ w). [back_rewrite(30047),rewrite([87611(9)])]. 87664 K(x \ T(T(y,z),u),w) = K(x \ T(y,u * z),w). [hyper(507,a,13783,a,b,25938,a),rewrite([10695(5),13783(7),25938(9)]),flip(a)]. 87753 K(x * T(T(y,z),u),w) = K(x * T(y,z * u),w). [para(1457(a,1),25938(a,1,1)),rewrite([28864(5),927(9),927(8),87664(11),5428(11),12820(10),373(6)])]. 88033 T(x,y * K(z,u)) * T(w,T(x,y)) = w * T(x,y * K(z,u)). [para(26162(a,1),15404(a,1,1,1)),rewrite([6738(5),23(3),5676(3),5904(8),5904(8),5292(7),20232(8),1781(7),5795(13),602(13),1830(12),10776(12),30335(10),6744(10),5781(9)])]. 88171 K(x \ y,x) * (z * (y / x)) = T(z * (x \ y),K(x,y)). [para(19252(a,1),741(a,1,2)),rewrite([1742(5),991(4),2315(5),19252(9),1104(9)]),flip(a)]. 88486 K(x \ y,x) * (z * (x \ y)) = T(z * T(x \ y,x),K(x,y)). [para(2900(a,1),19284(a,1,2,2,1)),rewrite([67035(5),16960(5),853(4),615(3),1696(3),864(2),391(5),67035(13),16960(13),853(12),615(11),1696(11),864(10),749(11),1742(11),991(10),2315(11)])]. 88525 T((x * x) * (y \ z),T(y,z)) = T((x * x) * (y \ z),y). [para(741(a,1),19112(a,1,2)),rewrite([12923(6),14926(6)])]. 88955 K(x,K(y * z,z) * u) = K(x,u * K(y,z)). [para(15540(a,2),267(a,1,2,1)),rewrite([15540(5),1436(4),980(2,R),1434(8),48079(8)])]. 89329 T(x,y * ((z \ u) * K(z \ y,w))) = T(x,T(y / z,w) * u). [para(3350(a,1),26450(a,1,2,1,2)),rewrite([23128(7),37243(7),9958(5),7131(10),679(8)]),flip(a)]. 89522 T(x * T(y,z * K(u,w)),K(y,z)) = K(y,z) * (x * T(y,K(u,w))). [para(29319(a,1),19284(a,1,2,2,1)),rewrite([367(6),853(4),2428(3),367(3),65301(7),367(15),853(13),2428(12),367(12)]),flip(a)]. 89603 K(K(x,y) * (T(z,u) / w),T(v5,u)) = K(z * T(w \ K(x,y),u),v5). [para(64809(a,2),16771(a,1,2,2)),rewrite([365(10),649(9),5297(7),12416(7),10424(6),762(9)]),flip(a)]. 89832 L(T(x,y),z,u) \ T(w,K(x,v5)) = T(L(T(x,y),z,u) \ w,K(x,v5)). [para(31(a,1),63692(a,1,1)),rewrite([306(4),31(7),306(10)])]. 89834 R(T(x,y),z,u) \ T(w,K(x,v5)) = T(R(T(x,y),z,u) \ w,K(x,v5)). [para(32(a,1),63692(a,1,1)),rewrite([12612(4),32(7),12612(10)])]. 89897 (T(x,y) / z) * K(x,K(z,u)) = T(T(x,y) / z,K(x,u)). [para(63692(a,2),7058(a,2,2)),rewrite([45(6),46(6),5902(6),19(4),46(4),63692(12),6630(10),53145(11),2191(9),2034(8)])]. 90100 x / (y \ ((y * (z \ 1)) * z)) = (z * (y \ (y / z))) * x. [para(15109(a,1),77338(a,1,2)),rewrite([300(10),11905(12),1742(14),19(12),380(11),378(12)])]. 90139 T(L(T(x,y),z,u) \ w,K(x,y)) = T(w / L(T(x,y),z,u),x). [hyper(507,a,298,a(flip),b,68261,a),rewrite([31(2),31(6),306(9)]),flip(a)]. 90310 T(K(x,y) * (z / T(y,u)),y) = (T(y,x) \ z) * K(u,y). [para(3086(a,1),68261(a,2,1,2)),rewrite([853(7),5795(7),407(7),47537(6),1863(8),72560(10)]),flip(a)]. 90321 K(x \ y,x) * ((y / T(x,z)) * u) = T(y / T(x,z),x) * u. [para(68261(a,2),2299(a,2,1)),rewrite([17000(3),68261(10)])]. 90387 T(K(x,y) * z,T(y,x)) = T(z * K(x,y),y). [para(3157(a,1),68261(a,2,1)),rewrite([6629(3),5676(5),155(4)])]. 90835 K(x,y * K(z,u)) * (w * x) = K(x,y) * (w * T(x,K(z,u))). [para(14371(a,2),39611(a,1,2,2)),rewrite([5676(3),14371(7),5904(6),408(6),3618(5),5676(8),853(11),379(10),89522(11)])]. 90973 a(x,y,z) / (a(x,y,z) / u) = 1 / (1 / u). [para(303(a,1),14248(a,1,1)),rewrite([303(3),5269(7),1473(8)])]. 91074 (1 / x) * T(x \ 1,y) = (x \ 1) * T(1 / x,y). [para(391(a,1),25872(a,1,2,2)),rewrite([5864(6),391(13)])]. 91273 K(x,T(T(1 / (1 / y),z),u) * w) = K(x,T(T(y,u),z) * w). [para(39222(a,2),713(a,1,2)),rewrite([14052(10),20(6),39222(9),24596(10),64021(9),378(3),63958(5)]),flip(a)]. 91403 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(25558(a,2),535(a,2,2,2)),rewrite([2191(6),20(5),45(4),9696(5),2979(4),330(7),749(6),5676(6),11051(6),25558(13),1752(12),20(10),866(9),614(9),45(9),9696(10),2979(9)])]. 91494 L(x / (x / y),z,u) * (K(y,y \ x) * w) = L(y,z,u) * w. [para(22(a,1),39756(a,2,2)),rewrite([1104(6)])]. 91933 (T(x,y) * z) \ ((T(x,y) * z) / x) = (z * x) \ z. [hyper(507,a,1351,a(flip),b,15932,a),rewrite([25536(9),53840(8)]),flip(a)]. 92271 K(x,y) * T(z,y * x) = T(z * K(x,y),x * y). [para(870(a,1),15948(a,2,1,2)),rewrite([417(6),174(4),30(5),5781(5),682(4),216(4),226(4),50722(8)])]. 92609 L(x,y,a(z,y * z,y)) = x. [para(502(a,1),56113(a,1,3,2)),rewrite([814(4),883(4)])]. 92689 a(x,x,a(y * z,y,z)) = 1. [para(14782(a,1),56202(a,1,2)),rewrite([3266(7),5817(6),8303(4),19(3),9369(4)])]. 92694 a(x,y,a(y * x,z,z)) = 1. [para(3866(a,1),56202(a,1,2)),rewrite([7106(7),81581(6)])]. 92747 a(x \ y,a(x,x,y),z) = 1. [para(5072(a,1),56259(a,1,1)),rewrite([5817(6),9277(6),13265(5),8208(5),900(5),4738(5)])]. 92926 L(x \ y,z,a(y,x,x)) = x \ y. [para(79874(a,1),9235(a,1,1)),rewrite([19(3),5242(4)]),flip(a)]. 92963 ((x \ y) * a(x,x,y)) * z = (x \ y) * (a(x,x,y) * z). [para(79906(a,1),3514(a,1,2))]. 93208 L(x,y,a(y,y * z,z)) = x. [para(5072(a,1),92609(a,1,3,2)),rewrite([2536(6),8789(6),10142(5),4179(6),13269(6),2079(5),9476(4)])]. 93408 a(x * y,x,L(y,z,z)) = a(x * y,x,y). [hyper(141,a,92689,a),rewrite([8871(3)])]. 93421 a(x,x,a(y,z,z * y)) = 1. [para(247(a,1),92689(a,1,3,1)),rewrite([816(6),10140(5),13256(4),8569(3)])]. 93454 a(x,y,a(z,z,y * x)) = 1. [hyper(152,a,13446,a,b,92694,a),rewrite([5242(3),3154(4),8947(4)])]. 93458 a(x \ y,z,z) = a(x * y,z,z). [hyper(141,a,92694,a),rewrite([8871(3),8842(3)])]. 93546 a(x \ y,a(x,x,y \ 1),z) = 1. [para(4711(a,2),92747(a,1,1)),rewrite([5779(7),4695(8),847(6)])]. 93549 L(x \ y,a(x,x,y),z) = x \ y. [para(92747(a,1),9235(a,1,1)),rewrite([19(3),5238(4)]),flip(a)]. 93631 L(x,y \ z,a(z,z,y)) = x. [para(24(a,1),93208(a,1,3,2)),rewrite([850(3),9285(3),4642(4),881(3)])]. 94046 L(x,y,z) \ (L(T(x,u),y,z) * w) = K(x,u) * w. [hyper(628,a,755,a)]. 94115 T(L(T(x,y),z,x) * z,x) = K(x,y) * (z * x). [para(755(a,1),2552(a,1,1)),rewrite([12624(4),928(7)])]. 94692 T(x,x \ 1) * K(y,z) = (x \ 1) \ K(y,z). [para(859(a,1),761(a,1,2,2)),rewrite([679(8),2140(4),682(6),4434(6),1098(10),3726(10)])]. 94861 a(x,y,z) / (u * K(w,v5)) = K(v5,w) * (a(x,y,z) / u). [para(280(a,2),762(a,1,1)),rewrite([6238(4)])]. 94869 K(x,T(y,z)) * (z / u) = z / (u * K(y,x)). [para(1584(a,1),762(a,1,1)),rewrite([6238(3)]),flip(a)]. 94996 (x * (K(y,z) * u)) * (u \ w) = (x * u) * (u \ (K(y,z) * w)). [hyper(507,a,5931,a(flip),b,763,a),rewrite([7514(9),770(9),5931(10),763(8)]),flip(a)]. 94997 R(x,x,y) * (K(z,u) * y) = (K(u,z) / x) \ y. [hyper(507,a,5072,a(flip),b,763,a),rewrite([1485(5),1839(6),770(6),772(7)]),flip(a)]. 95372 (x \ R(y,z,u)) * K(w,w \ y) = x \ R(w * (y / w),z,u). [para(203(a,1),773(a,1,2,1)),flip(a)]. 95472 R(x,y,z \ L(T(u,w),v5,v6)) = R(x,y,z \ L(u,v5,v6)). [para(776(a,1),9235(a,1,1)),rewrite([9235(4)]),flip(a)]. 95521 a(x,y,z \ (u * (w * w))) = a(x,y,(w * w) * (z \ u)). [para(4952(a,1),777(a,1,3,2)),rewrite([55727(8)])]. 95548 a(x,y,z \ (((u \ w) \ w) \ v5)) = a(x,y,z \ (u \ v5)). [para(5668(a,1),778(a,2,3,2)),rewrite([778(5),7383(5)]),flip(a)]. 95582 a(x,y,z \ (L(u,w,v5) * (v5 * w))) = a(x,y,z \ (v5 * (w * u))). [para(3514(a,1),779(a,1,3,2)),flip(a)]. 95648 a(x,y,z \ (L(u,w,u) * v5)) = a(x,y,z \ (v5 * u)). [para(14631(a,1),779(a,1,3,2)),rewrite([4983(4),928(9),784(11),7969(8)])]. 95652 a(x,y,z \ ((u \ 1) * (w * u))) = a(x,y,z \ L(w,u,u)). [para(14782(a,1),779(a,1,3,2)),rewrite([2520(5),8303(3),19(2)]),flip(a)]. 95667 a(x,y,z \ (((u \ 1) * w) * u)) = a(x,y,z \ L(w,u \ 1,u)). [para(3866(a,1),779(a,1,3,2)),flip(a)]. 95680 a(x,y,z \ (u * L(w,w,u))) = a(x,y,z \ ((w \ 1) \ u)). [para(5072(a,1),779(a,1,3,2)),rewrite([6693(5),4982(9)]),flip(a)]. 95722 a(x,y,z \ ((u * T(w,v5)) * v6)) = a(x,y,z \ (v6 * (u * w))). [para(757(a,1),779(a,1,3,2)),rewrite([928(9),784(11)])]. 95723 a(x,y,z \ (u * (w * T(v5,v6)))) = a(x,y,z \ (u * (w * v5))). [para(757(a,2),779(a,1,3,2)),rewrite([757(4),95722(5)]),flip(a)]. 95746 a(x,y,((z * z) \ u) * w) = a(x,y,u * ((z * z) \ w)). [para(14024(a,2),780(a,1,3,2,1)),rewrite([14024(8),14(9),10371(10),6629(8),814(9),10838(8),10836(7),815(7),4233(11),789(9)]),flip(a)]. 95848 R(x,y,L(T(z,u),w,v5) * v6) = R(x,y,L(z,w,v5) * v6). [para(781(a,1),9235(a,1,1)),rewrite([9235(4)]),flip(a)]. 95859 a(x,y,(L(T(z,u),w,v5) * v6) * v7) = a(x,y,(L(z,w,v5) * v6) * v7). [para(5800(a,1),781(a,2,3)),rewrite([32(2),5800(5)])]. 95877 a(x,y,z * L(u / w,v5,v6)) = a(x,y,z * L(w \ u,v5,v6)). [para(502(a,1),782(a,1,3)),rewrite([298(9),26681(9),749(9),814(10)])]. 95959 a(x,y,(T(z,u) \ u) * w) = a(x,y,(z \ u) * w). [para(180(a,1),785(a,1,3,1)),rewrite([785(4),801(8)])]. 96002 a(x,y,z * (u \ T(w,u))) = a(x,y,(u \ w) * z). [back_rewrite(82335),rewrite([95959(4)]),flip(a)]. 96015 a(x,y,(T(z,u) \ w) * v5) = a(x,y,v5 * (z \ w)). [para(14074(a,1),786(a,1,3,2)),rewrite([786(5),7966(5),7966(4),96002(9)]),flip(a)]. 96040 a(x,y,z * (u \ (K(w,v5) * v6))) = a(x,y,z * (u \ v6)). [para(762(a,1),786(a,1,3,2)),rewrite([793(5),807(5)]),flip(a)]. 96122 R(x,y,((z \ u) \ u) * w) = R(x,y,z * w). [para(788(a,1),9235(a,1,1)),rewrite([9235(3)]),flip(a)]. 96190 a(x,y,z * (u * (w * (v5 * K(v6,v7))))) = a(x,y,z * (u * (w * v5))). [para(3514(a,1),791(a,2,3,2)),rewrite([677(4),3514(5)])]. 96205 a(x,y,z * ((u \ K(w,v5)) * v6)) = a(x,y,z * ((u \ 1) * v6)). [para(18096(a,1),791(a,1,3,2,2)),rewrite([33074(4),11313(6),11313(11)])]. 96208 a(x,y,z * (u * ((w \ v5) * w))) = a(x,y,z * (u * v5)). [para(1582(a,1),791(a,1,3,2,2))]. 96210 a(x,y,z * (u * (w \ K(v5,v6)))) = a(x,y,z * (u * (w \ 1))). [para(5508(a,2),791(a,2,3,2)),rewrite([2141(5),10838(6),5508(11),10838(11)])]. 96213 R(x,y,z * (u * (w * K(v5,v6)))) = R(x,y,z * (u * w)). [para(791(a,1),9235(a,1,1)),rewrite([9235(4)]),flip(a)]. 96275 a(x,y,z * ((T(u,w) \ v5) * v6)) = a(x,y,z * ((u \ v5) * v6)). [para(36316(a,2),792(a,1,3,2,2)),rewrite([11313(7),11313(10)])]. 96286 a(x,y,z * ((u \ K(w,v5)) \ v6)) = a(x,y,z * ((u \ 1) \ v6)). [para(5072(a,1),792(a,1,3,2)),rewrite([1485(5),3839(5),1839(8),5072(7),3839(10)])]. 96332 a(x,y,z * (u * L(T(w,v5),v6,v7))) = a(x,y,z * (u * L(w,v6,v7))). [para(10987(a,1),793(a,1,3,2,2)),rewrite([795(8),793(7),27(4),27(9)]),flip(a)]. 96383 a(x,y,z * (u \ K(w,v5))) = a(x,y,(u \ 1) * z). [para(26408(a,1),794(a,2,3,1)),rewrite([756(9),763(9),792(10),807(8),785(6),11758(6),785(11),96015(11),923(8),20(7)]),flip(a)]. 96398 a(x,y,((z \ K(u,w)) \ v5) * v6) = a(x,y,((z \ 1) \ v5) * v6). [para(5072(a,1),794(a,1,3,1)),rewrite([1485(5),12316(5),1839(8),5072(7),12316(10)])]. 96448 R(x,y,z * (u * T(w,v5))) = R(x,y,z * (u * w)). [para(795(a,1),9235(a,1,1)),rewrite([9235(4)]),flip(a)]. 96558 a(x,y,z * ((u \ 1) * (w * u))) = a(x,y,z * L(w,u,u)). [para(14782(a,1),796(a,1,3,2)),rewrite([2523(5),8303(3),19(2)]),flip(a)]. 96568 a(x,y,z * (((u \ 1) * w) * u)) = a(x,y,z * L(w,u \ 1,u)). [para(3866(a,1),796(a,1,3,2)),flip(a)]. 96575 a(x,y,z * (u * ((u * w) \ w))) = a(x,y,z * a(u,u,w)). [para(5069(a,1),796(a,1,3,2)),rewrite([793(8)]),flip(a)]. 96576 a(x,y,z * (u * L(w,w,u))) = a(x,y,z * ((w \ 1) \ u)). [para(5072(a,1),796(a,1,3,2)),rewrite([3839(5),5005(9)]),flip(a)]. 96766 R(x,y,(z \ (u * (w / v5))) * v6) = R(x,y,(z \ (u * (v5 \ w))) * v6). [para(799(a,1),9235(a,1,1)),rewrite([9235(6)]),flip(a)]. 96782 R(x,y,(z \ (u / w)) * v5) = R(x,y,(z \ (w \ u)) * v5). [para(800(a,1),9235(a,1,1)),rewrite([9235(5)]),flip(a)]. 96800 a(x,y,z * (u \ T(w,v5))) = a(x,y,(u \ w) * z). [hyper(152,a,809,a,b,801,a)]. 96816 R(x,y,(z \ T(u,w)) * v5) = R(x,y,(z \ u) * v5). [para(801(a,1),9235(a,1,1)),rewrite([9235(4)]),flip(a)]. 96860 a(x,y,((T(z,u) * w) * v5) * v6) = a(x,y,((z * w) * v5) * v6). [para(3516(a,1),802(a,2,3,1)),rewrite([32(2),3516(4)])]. 96882 a(x,y,(R(z,u,w) * v5) * v6) = a(x,y,(L(z,u,w) * v5) * v6). [para(26164(a,1),802(a,2,3,1)),rewrite([4981(7),802(7),3129(4),789(6),789(10)]),flip(a)]. 97027 a(x,y,(z * L(T(u,w),v5,v6)) * v7) = a(x,y,(L(u,v5,v6) * z) * v7). [para(752(a,2),804(a,1,3,1)),rewrite([752(4),95859(5)]),flip(a)]. 97188 a(x,y,(z * u) * (w * w)) = a(x,y,z * ((w * w) * u)). [para(14885(a,1),805(a,2,3)),rewrite([802(7)])]. 97380 R(x,y,z * (K(u,w) * v5)) = R(x,y,z * v5). [para(807(a,1),9235(a,1,1)),rewrite([9235(3)]),flip(a)]. 97420 a(x,y,z * ((z \ 1) \ u)) = a(x,y,u * (z * z)). [para(626(a,2),808(a,2,3,2)),rewrite([2801(3),96576(4),626(7)])]. 97497 a(x,y \ (z \ K(u,z)),w) = a(x,y \ (z \ 1),w). [para(4711(a,1),818(a,2,2)),rewrite([818(5),10830(5)]),flip(a)]. 97523 a(x,y \ (z \ K(u,w)),v5) = a(x,y \ (z \ 1),v5). [para(14300(a,1),819(a,1,2,2)),rewrite([2143(5),10179(5),10830(5),10179(8),97497(8)])]. 97527 a(x,a(y,z,u) \ w,v5) = a(x,a(y,z,u) * w,v5). [para(299(a,2),819(a,1,2)),rewrite([299(4),1013(4),8381(5),52423(5)]),flip(a)]. 97531 a(x,y \ (T(z,u) * w),v5) = a(x,y \ (z * w),v5). [para(2299(a,1),819(a,1,2,2))]. 97544 a(x,(y \ K(z,u)) * w,v5) = a(x,(y \ 1) * w,v5). [para(5804(a,1),819(a,1,2)),rewrite([1838(7),4464(8)])]. 97545 a(x,y * (K(z,u) * w),v5) = a(x,y * w,v5). [para(4474(a,1),819(a,1,2)),rewrite([71860(6)]),flip(a)]. 97546 a(x,(y \ K(z,u)) \ w,v5) = a(x,(y \ 1) \ w,v5). [para(5072(a,2),819(a,1,2)),rewrite([1839(3),94997(4),10142(4),10142(8)])]. 97563 a(x,a(y,z,u) * w,a(y,z,u)) = a(x,w,a(u,z,y)). [back_rewrite(27603),rewrite([97527(4)])]. 97578 a(x,y \ L(T(z,u),w,v5),v6) = a(x,y \ L(z,w,v5),v6). [para(31(a,1),820(a,1,2,2))]. 97581 R(x,y \ T(z,u),w) = R(x,y \ z,w). [para(820(a,1),9235(a,1,1)),rewrite([9235(3)]),flip(a)]. 97584 a(x,y \ (z \ ((u * u) * w)),v5) = a(x,(u * u) * (y \ (z \ w)),v5). [para(19122(a,1),820(a,1,2,2)),rewrite([10574(10),55728(10)])]. 97610 a(x \ (y * L(T(z,u),w,v5)),v6,v7) = a(x \ (y * L(z,w,v5)),v6,v7). [para(31(a,1),821(a,1,1,2,2))]. 97612 a(x \ K(y,K(z,u)),w,v5) = a(x,w,v5). [para(48(a,1),821(a,2,1,2)),rewrite([866(3),3102(4),3266(7)])]. 97651 a(x \ K(y * z,u),w,v5) = a(x,w,v5). [para(641(a,1),821(a,2,1,2)),rewrite([866(5),679(7),52453(8),97612(8)])]. 97664 a(x \ K(y,z),u,w) = a(x,u,w). [para(15827(a,1),821(a,2,1,2)),rewrite([866(5),679(7),52453(8),97651(5),679(7),52453(8)]),flip(a)]. 97705 L(x,y,z \ (u * (w / v5))) = L(x,y,z \ (u * (v5 \ w))). [para(822(a,1),9236(a,1,1)),rewrite([9236(5)]),flip(a)]. 97773 a(x * (y \ (K(z,u) * w)),v5,v6) = a((y \ w) * x,v5,v6). [para(762(a,1),823(a,1,1,2)),rewrite([827(5),7371(5)]),flip(a)]. 97792 a(x * (y * ((z \ u) \ u)),w,v5) = a(x * (y * z),w,v5). [para(3514(a,1),824(a,2,1)),rewrite([2867(4),3514(5)])]. 97799 a(x * L(y / z,u,w),v5,v6) = a(x * L(z \ y,u,w),v5,v6). [para(14404(a,1),824(a,1,1,2,1)),rewrite([21(4)]),flip(a)]. 97811 a(x * (a(y,z,y) * u),w,v5) = a(x * u,w,v5). [para(2382(a,2),824(a,2,1)),rewrite([9746(3),67019(4),97792(6),2382(7),2389(8)])]. 97859 a((x * y) * ((z \ (K(u,w) * v5)) \ v5),v6,v7) = a(z * (x * y),v6,v7). [para(756(a,2),824(a,2,1)),rewrite([923(4),756(11),7371(12)])]. 97860 a((x * T(y,z)) * u,w,v5) = a(u * (x * y),w,v5). [para(757(a,1),824(a,2,1)),rewrite([923(4),97859(7)]),flip(a)]. 97938 a((x * y) * x,z,u) = a(y,z,L(u,x,x)). [para(14620(a,1),825(a,1,1)),rewrite([8870(2),823(7),4735(7)]),flip(a)]. 97980 a(x * L(y,z,y),u,w) = a(y * x,u,w). [para(14631(a,2),825(a,1,1)),rewrite([14631(5),2532(3),2384(3),2525(5)]),flip(a)]. 97994 a((x \ (y * T(z,u))) * w,v5,v6) = a(w * (x \ (y * z)),v5,v6). [para(731(a,1),825(a,1,1)),rewrite([928(10),52445(11)])]. 98044 a(x * (y * (z * K(u,w))),v5,v6) = a(x * (y * z),v5,v6). [para(756(a,1),825(a,1,1)),rewrite([7371(5)]),flip(a)]. 98099 a(x * (L(T(y,z),u,w) * v5),v6,v7) = a(x * (L(y,u,w) * v5),v6,v7). [para(4709(a,1),826(a,2,1,2)),rewrite([31(3),15937(4)])]. 98130 a(x * (y * (K(z,u) * w)),v5,v6) = a(x * (y * w),v5,v6). [para(3706(a,1),826(a,1,1,2,2)),rewrite([98044(5)]),flip(a)]. 98131 a(x * (y * ((z * z) * u)),w,v5) = a(x * (y * (u * (z * z))),w,v5). [para(4952(a,1),826(a,1,1,2,2)),flip(a)]. 98222 a((x * (K(y,z) * u)) * w,v5,v6) = a(w * (x * u),v5,v6). [para(1104(a,1),828(a,2,1,1,2)),rewrite([1105(2),756(4),7371(5)]),flip(a)]. 98228 a(L(x / y,z,u) * w,v5,v6) = a(L(y \ x,z,u) * w,v5,v6). [para(9235(a,1),828(a,1,1,1)),rewrite([2532(4),850(6),9235(8),2532(8)])]. 98229 L(x,y,(z * (u / w)) * v5) = L(x,y,(z * (w \ u)) * v5). [para(828(a,1),9236(a,1,1)),rewrite([9236(5)]),flip(a)]. 98305 a(x * (y * ((z * z) * u)),w,v5) = a((u * y) * x,w,v5). [para(14(a,1),829(a,1,1,2)),rewrite([49930(5)]),flip(a)]. 98321 a(x * (((y * y) \ z) * u),w,v5) = a(x * (z * u),w,v5). [para(14024(a,2),829(a,1,1,2)),rewrite([14024(6),1476(8),4594(5),4736(11),10140(9)]),flip(a)]. 98322 a(a(x,y,z \ 1) * u,w,v5) = a(a(x,y,z) * u,w,v5). [para(14423(a,2),829(a,1,1,2)),rewrite([14423(5),13563(5),8172(5),7552(11),1708(7),13546(9)])]. 98327 a(x * ((y * z) * y),u,w) = a(x * L(z,y,y),u,w). [para(14620(a,1),829(a,1,1,2)),rewrite([827(9),3281(9)]),flip(a)]. 98345 a(x * ((y * (y * z)) * u),w,v5) = a(x * (L(z,y,y) * u),w,v5). [para(5835(a,1),829(a,1,1,2)),rewrite([4736(11)])]. 98384 a(L(x,x,y * z) * (z * y),u,w) = a(x \ (y * z),u,w). [para(5072(a,1),829(a,1,1)),rewrite([900(5),4738(5),2532(8)]),flip(a)]. 98437 a(x * (y * (z * (u * u))),w,v5) = a((z * y) * x,w,v5). [back_rewrite(98131),rewrite([98305(5)]),flip(a)]. 98496 a(((x \ 1) * y) * z,u,w) = a((y * x) * z,u,w). [para(14874(a,1),832(a,1,1,1)),rewrite([2532(4),98228(4),3277(2),9995(5),5876(8),40302(10)])]. 98497 a((x \ ((y * y) * z)) * u,w,v5) = a((x \ z) * u,w,v5). [para(19122(a,2),832(a,2,1,1)),rewrite([5724(3),14(4),7758(5),3260(5),19122(7)]),flip(a)]. 98543 a((x \ (T(y,z) * u)) * w,v5,v6) = a((x \ (y * u)) * w,v5,v6). [para(2299(a,1),833(a,1,1,1,2))]. 98563 a(((x \ K(y,z)) \ u) * w,v5,v6) = a((x \ u) * w,v5,v6). [para(5072(a,2),833(a,1,1,1)),rewrite([1839(3),94997(4),11812(5),11812(10),4737(10)])]. 98692 a((x \ (y * (z * y))) * u,w,v5) = a((x \ L(z,y,y)) * u,w,v5). [para(14782(a,1),834(a,1,1,1,2)),rewrite([4002(6),8303(3),19(2),5098(11)]),flip(a)]. 98707 a((x * (y * z)) * u,w,v5) = a((x * (z * y)) * u,w,v5). [para(3141(a,1),834(a,1,1,1)),rewrite([3161(10)])]. 98762 a((x \ (y * y)) * z,u,w) = a(z * x,u,w). [para(3396(a,1),835(a,1,1,1,2)),rewrite([4696(6),837(10),5100(10),372(5),7106(8)])]. 98765 a((x \ L(y,z,y)) * u,w,v5) = a((x \ y) * u,w,v5). [para(1945(a,1),835(a,2,1,1,2)),rewrite([4274(3),838(6),21(2),4002(7)]),flip(a)]. 98806 a(x * (y \ (z \ 1)),u,w) = a((y \ z) * x,u,w). [para(865(a,1),836(a,2,1,1,2)),rewrite([679(6),7865(6),2140(6),679(5),763(6),7371(7),7556(5),835(10),4696(10)])]. 98939 a(x \ (y \ K(z,T(u,w))),v5,v6) = a(x \ (y \ K(z,u)),v5,v6). [para(1471(a,1),839(a,2,1,2,2)),rewrite([3074(4)])]. 98989 a(x \ (y \ K(z,u)),w,v5) = a(x \ y,w,v5). [para(29(a,1),840(a,1,1,2,2)),rewrite([866(2),98939(5),372(5),4695(8)])]. 99105 a((x \ y) * L(z,z,x * y),u,w) = a(z \ (x \ y),u,w). [para(5072(a,2),841(a,1,1)),rewrite([7514(4),97773(7),2525(5),81725(3),900(10),4738(10)])]. 99293 a((x \ K(y,z)) \ u,w,v5) = a(x \ u,w,v5). [para(5072(a,2),844(a,1,1)),rewrite([1839(3),94997(4),900(4),900(8),4738(8)])]. 99312 a((T(x,y) * z) * u,w,v5) = a((x * z) * u,w,v5). [para(3516(a,1),845(a,2,1)),rewrite([32(2),3516(4)])]. 99341 (x \ T(y,z)) * a(x \ y,u,w) = R(x \ T(y,z),u,w). [para(847(a,1),9238(a,1,2))]. 99393 L(x,L(y * K(z,u),w,v5),v6) = L(x,L(y,w,v5),v6). [para(213(a,1),872(a,1,2)),rewrite([1104(3),676(5),12604(4),1105(4)]),flip(a)]. 99460 L(x,y * L(z * K(u,w),v5,v6),v7) = L(x,y * L(z,v5,v6),v7). [para(213(a,1),874(a,1,2,2)),rewrite([1104(3),676(5),12604(4),1105(5)]),flip(a)]. 99481 L(x,y * (z \ L(T(u,w),v5,v6)),v7) = L(x,y * (z \ L(u,v5,v6)),v7). [para(681(a,1),874(a,1,2,2))]. 99487 L(x,((y \ z) \ z) * u,w) = L(x,u * y,w). [para(5671(a,1),874(a,1,2)),rewrite([874(6),5785(8)])]. 99512 L(L(x,y * z,u),w,v5) = L(L(x,w,v5),z * y,u). [hyper(507,a,35,a,b,875,a)]. 99558 L(x,(y * z) * (y \ 1),u) = L(x,L(z,y,y),u). [para(14620(a,1),875(a,1,2)),rewrite([878(7)]),flip(a)]. 99571 L(x,y * (a(z,u,z) * w),v5) = L(x,w * y,v5). [para(2388(a,1),875(a,1,2)),rewrite([38844(4)]),flip(a)]. 99572 L(x,y * (z * a(u,w,u)),v5) = L(x,y * z,v5). [para(2388(a,2),875(a,1,2)),rewrite([2388(3),38844(4),2382(5)]),flip(a)]. 99579 L(x,(y \ 1) * (z * y),u) = L(x,L(z,y,y),u). [para(14782(a,1),875(a,1,2)),rewrite([4179(4),8303(3),19(2)]),flip(a)]. 99588 L(x,y * L(T(z,u),w,v5),v6) = L(x,L(z,w,v5) * y,v6). [para(752(a,2),875(a,1,2)),rewrite([752(4),7677(4)]),flip(a)]. 99597 L(x,y * (z \ (y \ z)),u) = L(x,a(y,y,z),u). [para(5069(a,1),875(a,1,2)),rewrite([878(6),10888(6)]),flip(a)]. 99624 L(x,(y * T(z,u)) * w,v5) = L(x,w * (y * z),v5). [para(757(a,1),875(a,1,2)),rewrite([928(8),12624(9)])]. 99625 L(x,y * (z * T(u,w)),v5) = L(x,y * (z * u),v5). [para(757(a,2),875(a,1,2)),rewrite([757(4),99624(4)]),flip(a)]. 99730 L(x,(y * R(z,y,y)) * u,w) = L(x,u * (y * L(z,y,y)),w). [para(13401(a,1),877(a,1,2,1)),rewrite([9473(3),8630(4),43232(8)]),flip(a)]. 99744 L(x,y * (z * (K(u,w) * v5)),v6) = L(x,y * (z * v5),v6). [para(676(a,2),877(a,1,2,1)),rewrite([676(3),730(5),12624(6),877(4)]),flip(a)]. 99745 L(x,(y \ L(T(z,u),w,v5)) * v6,v7) = L(x,v6 * (y \ L(z,w,v5)),v7). [para(681(a,1),877(a,1,2,2)),rewrite([302(4),99481(5),9907(9)]),flip(a)]. 99747 L(x,y * (L(T(z,u),w,v5) * v6),v7) = L(x,(L(z,w,v5) * v6) * y,v7). [para(752(a,1),877(a,2,2,2)),rewrite([302(4),874(6)]),flip(a)]. 99748 L(x,y * (R(z,u,w) * v5),v6) = L(x,y * (L(z,u,w) * v5),v6). [para(4953(a,2),877(a,2,2,2)),rewrite([4179(2),8630(6),877(6),4953(7)]),flip(a)]. 99755 L(x,y * (z * ((u \ w) \ w)),v5) = L(x,y * (z * u),v5). [para(5670(a,1),877(a,2,2,2)),rewrite([877(6),99625(5)]),flip(a)]. 99758 L(x,(y * z) * L(y,u,w),v5) = L(x,y * (z * L(y,u,w)),v5). [para(2864(a,1),877(a,1,2,1)),rewrite([7300(5),6709(3),2801(7)])]. 99840 L(x,y * (z * L(T(u,w),v5,v6)),v7) = L(x,y * (z * L(u,v5,v6)),v7). [para(5868(a,1),879(a,2,2)),rewrite([31(4),31(3),5868(5)])]. 99869 L(x,L((y \ z) \ z,u,w),v5) = L(x,L(y,u,w),v5). [para(741(a,1),880(a,1,2,1))]. 99906 L((x \ y) \ z,x \ y,x * y) = (1 / (x \ y)) * z. [hyper(507,a,3277,a(flip),b,881,a),rewrite([881(9),81843(9)]),flip(a)]. 99917 L((x / y) \ z,y \ x,y * x) = (1 / (x / y)) * z. [hyper(152,a,3277,a(flip),b,881,a),rewrite([919(9),81843(9)]),flip(a)]. 99951 L(x,y * ((z / u) * w),v5) = L(x,y * ((u \ z) * w),v5). [para(881(a,1),877(a,1,2,1)),rewrite([6555(6),877(6)]),flip(a)]. 99974 L(x,y,z \ K(u,w)) = L(x,y,z). [hyper(507,a,3264,a(flip),b,884,a),rewrite([2141(5)]),flip(a)]. 100002 L(x,y,z * L(T(u,w),v5,v6)) = L(x,y,z * L(u,v5,v6)). [para(3141(a,1),885(a,1,3)),rewrite([7123(9),3141(10)])]. 100044 L(x,y,(z \ K(u,w)) \ v5) = L(x,y,z \ v5). [para(5072(a,1),888(a,1,3)),rewrite([1485(5),6051(4),1839(7),5072(6),6051(8),4679(8)])]. 100063 L(x,y,z * (((u * u) \ w) * u)) = L(x,y,z * ((u \ 1) * w)). [para(14874(a,1),889(a,1,3,2)),rewrite([2568(4),11040(4),3277(2),9785(5),5876(8)]),flip(a)]. 100093 R(x / (x / y),z,u) \ w = K(y,y \ x) * (R(y,z,u) \ w) # label(flip_matches_hint). [para(166(a,2),891(a,1,1,1))]. 100175 (T(x,y) \ z) * K(x,K(u,w)) = T(x,y * K(u,w)) \ z. [hyper(152,a,15603,a,b,2425,a),rewrite([367(3),762(5),90310(6),44(4),46(4),45(4),5781(8)])]. 100193 x \ (K(y,T(x,z)) * u) = T(x,T(y,z)) \ u. [para(179(a,1),2425(a,1,2,1)),rewrite([192(7)])]. 100256 (x \ (K(y,T(z,u)) * w)) * K(z,K(y,x)) = K(y,T(z,u)) * (x \ w). [para(431(a,1),2425(a,2,1)),rewrite([9942(8),44(7),1112(6),16581(7),923(4),853(2),774(11),853(9)])]. 100295 T(x / (x / y),K(z,y)) \ (T(y,z) \ x) = T(y,z) \ (x / y). [para(2425(a,1),26011(a,1,2)),rewrite([762(5),1863(6),762(4),682(6),3096(6),762(10),2425(11)])]. 100307 T(x / T(y,z * x),y) = T(y,x * z) \ x. [para(470(a,1),2425(a,1,2)),rewrite([679(4),3014(4)])]. 100308 T(x / T(y,x * z),y) = T(y,z * x) \ x. [para(471(a,1),2425(a,1,2)),rewrite([679(4),3014(4)])]. 100330 x \ (y * (K(z,y \ x) * u)) = K(z,y \ x) * (x \ (y * u)). [para(2425(a,1),5823(a,1,1)),rewrite([3573(5)]),flip(a)]. 100368 a(x,y,L(T(z,u) \ w,v5,v6) * v7) = a(x,y,L(z \ w,v5,v6) * v7). [para(2425(a,1),782(a,2,3,1,1)),rewrite([762(3),730(5),815(6),782(4)]),flip(a)]. 100371 a(x * (y * (T(z,u) \ w)),v5,v6) = a(x * (y * (z \ w)),v5,v6). [para(2425(a,1),827(a,2,1,2,2)),rewrite([762(3),98130(6),827(4)]),flip(a)]. 100723 x \ L(K(y,y \ 1) * z,u,w) = (x \ L(z,u,w)) * K(y,y \ 1). [para(4442(a,2),680(a,1,2,1))]. 100823 a(x,y,z) * K(u \ 1,u) = (u \ a(x,y,z)) * u. [hyper(123,a,7243,a(flip),b,4439,a),rewrite([27610(10)])]. 100824 K(x \ 1,x) * (a(y,z,u) * w) = w * ((x \ a(y,z,u)) * x). [hyper(507,a,291,a,b,4439,a(flip)),rewrite([682(12),100823(11)])]. 101097 T(T(x,y),z) * (u * K(y,x)) = T(T(x,T(z,y)) * u,K(x,y)). [para(10668(a,1),2299(a,1,2)),rewrite([853(2),417(6),2299(4)]),flip(a)]. 101365 T(x * T(y,z),u * K(y,z)) = T(K(y,z) * (x * y),u). [para(1574(a,1),4706(a,1,2)),rewrite([749(5),5676(5),1574(9),1104(8)])]. 101789 L(x,y,L(z * z,u,w)) = x. [para(6766(a,2),3158(a,1,3)),rewrite([6766(5),100002(6),8881(5),4939(3),6298(4)]),flip(a)]. 101862 ((x * y) \ z) * (y \ (x \ z)) = (y \ (x \ z)) * ((x * y) \ z). [para(3869(a,1),1708(a,1,1)),rewrite([3869(10)])]. 101872 ((1 / x) * y) * (x \ y) = (x \ y) * ((1 / x) * y). [para(3277(a,1),1708(a,1,1)),rewrite([3277(8)])]. 101995 x \ (y * (K(z * z,u) * w)) = (x \ (y * w)) * K(z * z,u). [para(4834(a,2),683(a,1,2,2))]. 102028 T(K(x * x,y) * z,u) * w = T(z,u) * (K(x * x,y) * w). [para(4834(a,1),757(a,1,1)),rewrite([763(6),9688(6),12205(9)]),flip(a)]. 102030 T(x * K(y * y,z),u) * w = T(x,u) * (K(y * y,z) * w). [para(4834(a,1),757(a,2,1)),rewrite([757(6),12205(4),102028(5),11584(9)]),flip(a)]. 102646 K(x \ (y \ x),T(x,z)) = K(y \ 1,T(x,z)). [para(3140(a,2),5556(a,1,1)),rewrite([12612(5),979(4),5791(8)]),flip(a)]. 102713 T(K(x,y) * K(z,y),z) = T(T(y,z),x) \ y. [para(4280(a,1),2425(a,1,2)),rewrite([679(5),612(2),12013(4)])]. 103106 T(x,y * K(z / u,w)) = T(x,y * K(u * z,w)). [para(183(a,1),12014(a,2,2,2)),rewrite([349(8),12014(7),1523(8)])]. 103682 T(x \ (y * (z / y)),K(y,z)) = K(y,y \ z) * (x \ z). [para(707(a,1),3095(a,1,1)),rewrite([1742(6),991(5),2315(6)])]. 103732 (x * y) * T(z,K(x,y)) = T((x * y) * z,K(x,y)). [para(7730(a,1),209(a,2,2,1)),rewrite([18814(4),35878(5),4274(11),10316(11),261(11),73681(10),5793(9),22(7)]),flip(a)]. 103868 R(x,y,z) \ T(u,K(x,w)) = T(R(x,y,z) \ u,K(x,w)). [hyper(152,a,514,a,b,5789,a),rewrite([12612(2),514(5),12612(8)])]. 105263 (T(x,y) \ z) * K(x,T(z,y)) = T(x * K(z,x),y) \ z. [para(3372(a,1),26011(a,2,2)),rewrite([60(7),19483(6),21(7),679(9)]),flip(a)]. 106367 T(x \ y,z) / (1 / (y / x)) = (y / x) * T(x \ y,z). [hyper(152,a,1457,a,b,5864,a),rewrite([927(9),881(8),81843(8),99917(8),20(7)])]. 106677 ((x \ y) * x) * y = y * ((x \ y) * x). [para(2556(a,1),502(a,1,2)),flip(a)]. 106921 K(x,T(y,z)) * (K(u,w) * (z * v5)) = K(u,w) * (z * (K(x,y) * v5)). [para(417(a,2),3493(a,1,1)),rewrite([417(4),866(8),357(8),70018(8),928(5),928(11)])]. 107457 K(x,K(y,z)) * (u * K(x,w)) = u * K(x,w * K(y,z)). [para(53718(a,2),1294(a,2,2)),rewrite([866(8),330(9),5676(8),54(9)])]. 107773 K(x,y) * (L(y,z,u) * (y \ w)) = L(y,z,u) * (T(y,x) \ w). [para(5716(a,2),3485(a,1,2)),rewrite([305(2),5716(6),305(8),2310(9)])]. 107776 K(x,y) * ((z / (z / y)) * u) = y * (K(x,y) * (K(y \ z,y) * u)). [para(3338(a,2),3485(a,1,2))]. 107823 (x * (K(y,x) * z)) \ u = (x * z) \ (K(x,y) * u). [para(3485(a,1),3869(a,2,1)),rewrite([1104(3),301(7)]),flip(a)]. 107838 K(x,y) * ((1 / y) \ z) = (K(y,x) / y) \ z. [para(5072(a,1),3485(a,1,2)),rewrite([12609(2),12609(8),94997(9)])]. 108039 T(x,K(y,z) * (u * K(y,w))) = T(x,K(y,z * w) * u). [para(3218(a,1),434(a,1,2,1)),rewrite([36964(5),474(5),682(5),24547(6),5330(11),10110(9),41458(10),866(7),314(11),85516(10)])]. 108054 L((x * y) / x,z,u) * (K(y,x) * w) = L(y,z,u) * w. [para(3218(a,1),5716(a,1,1)),rewrite([3218(6),923(6),3485(5),10076(6),928(7),4709(6),10228(5),932(6),31(3),494(2),3218(9)]),flip(a)]. 108062 ((x * y) / x) \ (T(y,z) * u) = K(y,x) * (K(y,z) * u). [para(2188(a,1),3218(a,1,2))]. 108267 (x / (x / y)) \ L(z,y \ 1,y) = (y \ K(y,y \ x)) * z. [para(3866(a,1),3205(a,1,2)),rewrite([3236(12)])]. 108288 K(x,x \ 1) * (y / (x * y)) = R(1 / x,x \ 1,x * y). [para(3205(a,1),5070(a,2,1)),rewrite([1848(6),762(12)]),flip(a)]. 108312 K(x * T(y,z),x \ 1) = K(x * y,T(x \ 1,z)). [hyper(152,a,19456,a,b,4150,a),rewrite([60(5),24486(11),4150(7),7352(7),373(2),10198(13),7352(12),373(8)]),flip(a)]. 108369 K(x,T(T(1 / y,z),u) * w) = K(x,T(y,z * u) \ w). [para(4150(a,1),713(a,1,2,2,1)),rewrite([24596(10),61314(9),1140(7),12215(4),87660(5)]),flip(a)]. 108430 K(x,T(T(y,z),u) * w) = K(x,T(y,u * z) * w). [back_rewrite(91273),rewrite([108369(8),12969(6)]),flip(a)]. 108501 K(x,y * T(T(z,u),w)) = K(x,y * T(z,w * u)). [back_rewrite(23205),rewrite([108430(5),16981(5)]),flip(a)]. 108556 K(x,T(T(T(y,z),u) * w,y)) = K(x,w * T(y,z * u)). [back_rewrite(29008),rewrite([108501(9)])]. 108754 x * T(x,x \ 1) = x / (x \ 1). [para(231(a,2),7109(a,1,1,1)),rewrite([6747(5),7109(5),42027(5),741(7,R),2780(6)]),flip(a)]. 109206 (x / y) * (y / (x / y)) = (y \ x) * (y / (y \ x)). [para(3063(a,2),203(a,1,2,2)),rewrite([3063(5),5325(4),483(4),30141(4),3686(4),3957(5)]),flip(a)]. 109280 L(x / y,z,u) * ((x / y) \ y) = y * (x \ (y * L(y \ x,z,u))). [para(3063(a,2),512(a,1,2)),rewrite([3063(6),11337(10),7644(10)])]. 109349 (x * x) * L(1 / x,y,z) = a(z,y,x \ 1) \ x. [back_rewrite(58579),rewrite([109280(7),373(6),13563(5)]),flip(a)]. 109512 T((x \ 1) \ 1,y) * (x \ z) = K(x,y) * (K(x,x \ 1) * z). [para(1353(a,2),11085(a,1,2)),rewrite([1860(13),3024(12),6390(10),10808(9),65598(8),21527(4),3360(14),13600(14),20(12),83302(14),3149(11)])]. 109728 T(K(x,y) * (z * x),K(z,u)) = T(x,y) * T(z,T(x,u)). [para(3092(a,1),16241(a,1,1,1)),rewrite([5781(3),1108(7),3618(5),90835(5),5793(4),417(5),315(12),179(11),1587(11),763(11),1773(10),2952(9),257(10),928(8),40201(10)])]. 109834 K(x,y * (z * T(T(u,w),v5))) = K(x,y * (z * T(u,w * v5))). [para(25825(a,2),10190(a,1,2,2)),rewrite([25825(9),23318(11),3233(8),1306(9),1785(8),6179(6),396(12),6760(11),108556(11),7351(10)])]. 110171 (x * T(x,y)) / (x * T(x,z)) = K(z,x) * K(x,y). [para(856(a,1),5773(a,1,1)),rewrite([6504(8),11965(9)])]. 111271 a((x \ (y * z)) * (y * z),y,z) = a(x,y,z). [para(671(a,1),4356(a,1,1)),rewrite([13307(8),8303(7),19(6),8816(6),11913(12)])]. 111353 x * (x * (y * K(x * x,z))) = T(x * x,z) * L(y,x,x). [hyper(507,a,5835,a(flip),b,6267,a),rewrite([682(5),682(4),298(8),26329(8)])]. 113097 L(T(x / y,z),a(u,w,v5),y \ x) = T(x / y,z). [hyper(152,a,15227,a(flip),b,919,a),flip(a)]. 113257 x * T(x \ L(y,z,u),w) = L(x * T(x \ y,w),z,u). [hyper(1465,a,26355,a,b,12672,a),rewrite([810(4),22(2),26355(8),37464(5),9236(2)])]. 113358 L(x,y,z) * L(T(x,u),y,z) = x * L(L(T(x,u),y,z),y,z). [hyper(1465,a,17314,a,b,752,a),rewrite([17314(8),9130(6),1104(7),2190(7)]),flip(a)]. 113608 K(x \ ((y * z) \ u),w) = K(x \ (z \ (y \ u)),w). [hyper(1465,a,7088,a,b,686,a(flip)),rewrite([5266(9),5758(13),19078(7),13466(6),9314(7),54(8),5791(4),5791(8),5791(8)])]. 113962 (L(x,y,z) \ u) * K(w,x) = T(u / L(T(x,w),y,z),x). [hyper(1465,a,4261,a,b,753,a),rewrite([1105(5),3096(6),5676(6),1108(6),89832(5),90139(5),1105(7),679(8)]),flip(a)]. 113968 (x * a(y,z,u)) \ (x * (w / x)) = w / (a(y,z,u) * x). [hyper(1465,a,4261,a,b,289,a(flip)),rewrite([80012(8),4261(6)])]. 114307 (x \ y) \ L(z,y \ x,x \ y) = ((x \ y) \ 1) * z. [hyper(1465,a,919,a,b,3866,a),rewrite([919(6),9150(6)])]. 114483 K(x \ 1,x) * (y * a(z,u,w)) = y * ((x \ a(z,u,w)) * x). [hyper(1465,a,291,a,b,39222,a),rewrite([69299(10),1586(4),100824(6)]),flip(a)]. 114738 T(x / (x / y),z) \ (y \ x) = T(y,T(z,x)) \ (x / y). [hyper(1465,a,26011,a(flip),b,2192,a),rewrite([7070(3),474(3),1104(5),853(2),3367(5)]),flip(a)]. 115210 x * (L(L(x,y,z),y,z) \ (1 / u)) = (a(z,y,x) * a(z,y,x)) / u. [hyper(1465,a,5300,a(flip),b,14483,a),rewrite([13109(4),5289(7),65457(8),65457(7),865(6),8564(6)])]. 115263 T(x,T(x \ y,z)) \ y = T(x \ y,T(x,z)). [hyper(1465,a,4809,a(flip),b,16241,a),rewrite([679(4),29(5),365(4),5793(7),22(5),418(7),3095(7),36233(6),679(8),29(9),30(8),5676(8),155(7)])]. 115323 K(x,y) * (((y * y) \ z) * u) = (y * T(y,x)) \ (z * u). [hyper(1465,a,4594,a(flip),b,758,a),flip(a)]. 115324 K(x,y) * (((x * T(T(x,y),y)) \ z) * u) = (x * T(x,y)) \ (z * u). [hyper(1465,a,4594,a(flip),b,757,a),rewrite([856(2),4044(8)]),flip(a)]. 115495 R(T(1 / x,y),x,z) \ z = K(y,x \ 1) * (x * z). [hyper(1465,a,3141,a(flip),b,2192,a),rewrite([12612(4),979(3),1104(5),32(9)]),flip(a)]. 115561 (x * a(y,z,y)) / u = a(y,z,y) * (x / u). [hyper(1465,a,2358,a(flip),b,203,a(flip)),rewrite([7796(4),5300(5),27236(5),2387(3),21(5)]),flip(a)]. 115789 K(x,T(y,z)) * (u * T(y,T(x,z))) = T(u * y,K(y,x)). [hyper(1465,a,757,a(flip),b,15404,a),rewrite([6238(3),2305(3),682(7),1652(6),13921(5),30(5),5676(5),192(5),1104(6),853(2),866(9),330(10)])]. 116527 ((x \ y) * x) / (y / (y / x)) = y / x. [hyper(1466,a,75856,a,b,203,a(flip)),rewrite([492(6),75856(6),864(2),1582(3)])]. 117049 (x / y) / T(x,y \ 1) = x \ (x / y). [hyper(1466,a,7058,a,b,502,a(flip)),rewrite([6238(6),155(5)])]. 117239 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(1466,a,4953,a,b,1582,a(flip)),rewrite([5541(3),5541(5),749(5),1742(5),991(4),2315(5),12705(4),769(4),3089(3),864(2),1582(3)])]. 117862 K(x \ (y \ (z * u)),w) = K(((y * x) \ z) * u,w). [hyper(1466,a,683,a,b,3089,a),rewrite([5900(4),683(7),6238(10),2305(10),5330(6),1035(7),16108(7),4599(6),36964(6),10189(6),5206(5),475(5)]),flip(a)]. 117864 K((x \ y) * (z * u),T(w,y * (x * z))) = K(u * (x \ (y * z)),w). [hyper(1466,a,683,a,b,471,a),rewrite([12344(4),683(7),6238(10),2305(10),5330(6),1035(7)])]. 118624 (x * ((x \ (y / z)) * z)) / (z \ y) = L(z,x \ (z \ y),x). [hyper(1466,a,5867,a(flip),b,512,a),rewrite([2008(9)])]. 118989 (x * (y * ((x * y) \ z))) / (x * y) = L(z / (x * y),y,x). [hyper(1466,a,3514,a(flip),b,213,a)]. 119454 ((x * (y / x)) / z) \ y = z * K(x \ y,x). [hyper(1466,a,492,a(flip),b,707,a),rewrite([1105(3)]),flip(a)]. 119529 a(x,y,z) / (u * u) = (u * u) \ a(x,y,z). [hyper(1466,a,303,a(flip),b,5731,a)]. 119980 K(((x * y) \ y) * z,u) = K(T(x,y) \ z,u). [back_rewrite(2410),rewrite([117862(4)])]. 120116 (T(x \ y,x) \ y) * T(z,x) = z * (T(x \ y,x) \ y). [hyper(1467,a,21616,a,b,511,a),rewrite([21616(4),12910(7),372(4),20(5)])]. 121006 x * ((x \ y) * a(x * y,x,z)) = y * a(x * y,x,z). [hyper(1467,a,9227,a(flip),b,672,a),rewrite([8301(4),19(7),8301(7)])]. 121057 ((1 / x) \ y) * ((x * y) \ z) = z * a(x,x,y). [hyper(1467,a,6017,a(flip),b,672,a),rewrite([9534(7),19(8)])]. 121058 ((x * y) * z) * a(x,x,y) = ((1 / x) \ y) * z. [hyper(1467,a,6017,a(flip),b,671,a),rewrite([9534(5),19(6)]),flip(a)]. 121132 ((x * y) * z) * a(x,y,y) = (x * y) * (z * a(x,y,y)). [hyper(1467,a,5182,a(flip),b,671,a),rewrite([19(6)]),flip(a)]. 121975 a(x,y,z) * ((u \ x) * u) = R((u \ x) * u,y,z). [hyper(1468,a,6380,a,b,13445,a),rewrite([2312(3),6380(5)])]. 122172 (x \ y) / ((x \ y) / y) = y * K(x \ 1,y). [hyper(1468,a,3856,a,b,708,a),rewrite([502(4),7391(4)]),flip(a)]. 122549 (x * y) * (z * a(x,y,y)) = (R(x,y,y) * y) * z. [hyper(1468,a,43229,a(flip),b,285,a),rewrite([19078(3),17677(3),121132(7)]),flip(a)]. 122743 (x * a(y,z,a(u,u,w))) * z = a(y,z,a(u,u,w)) * (x * z). [hyper(1468,a,12502,a(flip),b,288,a),rewrite([82276(5),5264(4),502(5)])]. 122802 a(x,x,y) * (z * y) = z * (y * a(x,x,y)). [hyper(1468,a,9229,a(flip),b,5942,a),rewrite([17583(4),5265(3),502(4),6547(3),9303(3)]),flip(a)]. 122813 a(x,y,a(z,u,w)) * (w * v5) = w * (a(x,y,a(z,u,w)) * v5). [hyper(1468,a,8892,a(flip),b,5942,a),rewrite([814(2),7415(5),814(6)]),flip(a)]. 122838 x * (y * a(z,u,a(w,w,x))) = L(x,w,a(w,u,z)) * y. [hyper(1468,a,8777,a(flip),b,285,a),rewrite([8806(3),9186(7)]),flip(a)]. 122840 x * (L(x,y,a(y,z,u)) \ w) = w * a(u,z,a(y,y,x)). [hyper(1468,a,8777,a(flip),b,5827,a(flip)),rewrite([9090(3),300(5),8508(4)])]. 122861 (x * y) * a(z,x,a(x,u,w)) = L(x,u,a(w,x,z)) * y. [hyper(1468,a,8417,a(flip),b,285,a),rewrite([27660(3)]),flip(a)]. 122862 L(x,y,a(z,x,u)) * w = L(x,x,a(z,y,u)) * w. [hyper(1468,a,8417,a(flip),b,284,a),rewrite([10835(3),122861(7)]),flip(a)]. 122890 R(x,x,y) * (x \ z) = z * a(x,x,y). [hyper(1468,a,8061,a(flip),b,5827,a(flip)),rewrite([9235(2),300(3)])]. 122905 a(x,y,L(z,u,w)) * (z * v5) = z * (a(x,y,L(z,u,w)) * v5). [hyper(1468,a,6497,a(flip),b,5942,a),rewrite([811(3),7415(5),811(7)]),flip(a)]. 122998 (a(x,x,y) \ z) * R(x,x,y) = z * x. [hyper(1468,a,5069,a(flip),b,4474,a),rewrite([1848(6),7723(6),79530(6),79532(6),8041(5)])]. 123085 a(x,x,y) * (((1 / x) \ y) \ z) = (x * y) \ z. [hyper(1468,a,3869,a(flip),b,43580,a(flip)),rewrite([19078(4),8043(4),5072(3)])]. 123126 a(x,y,x \ 1) * (z * (a(x,y,x \ 1) \ u)) = z * u. [hyper(1468,a,3270,a(flip),b,5637,a(flip)),rewrite([5279(5),502(2)]),flip(a)]. 123130 (x \ 1) * (y * a(x,z,z \ y)) = ((x \ 1) * z) * (z \ y). [hyper(1468,a,3266,a(flip),b,5971,a),rewrite([4976(6)])]. 123226 T(x / y,x) * T(z,y \ x) = z * T(x / y,x). [hyper(1468,a,1695,a(flip),b,26,a),rewrite([682(6),155(5)])]. 123693 x \ (a(y,z,a(u,u,w)) * (x * z)) = a(y,z,a(u,u,w)) * z. [back_rewrite(82014),rewrite([122743(4)])]. 123817 ((x * y) * z) * L(u,z,y * x) = (x * y) * (z * u). [hyper(1468,a,1506,a,b,27,a)]. 123866 L(x \ ((y * z) \ u),x,z * y) = ((y * z) * x) \ u. [hyper(507,a,3869,a(flip),b,1506,a),flip(a)]. 123882 L(x,y,(z * u) * z) = L(x,y,L(u,z,z)). [para(247(a,1),1506(a,1,3)),rewrite([9635(4),4680(3),5787(6)]),flip(a)]. 123888 L(x,y,z * ((u * u) \ w)) = L(x,y,w * z). [para(5876(a,2),1506(a,1,3)),rewrite([5876(3),6777(4)]),flip(a)]. 123889 L(x,y,z * (u * (u * w))) = L(x,y,L(w,u,u) * z). [para(5835(a,2),1506(a,1,3)),rewrite([5835(4),66750(4)]),flip(a)]. 124097 R(x,y,z) * (x \ (a(x,y,z) \ u)) = L(u,x,a(x,y,z)). [para(1828(a,2),5967(a,1,2,2,1)),rewrite([1828(3),9469(4),5124(5),2535(9),4175(9),9237(7),13268(8),2079(7)])]. 124118 a(x,y,z) \ K(x \ 1,u) = x * T(R(x,y,z) \ 1,u). [para(1828(a,1),7058(a,1,1)),rewrite([5207(6),9469(6),1828(7),5112(8)])]. 124130 L(a(x,y,z) * u,x,a(x,y,z)) = R(x,y,z) * (x \ u). [para(1828(a,2),5823(a,1,1,1)),rewrite([1828(2),13408(3),2535(6),4175(6),9237(4),13268(5),2079(4),5124(7)])]. 124999 x \ (a(y,z,x \ 1) * u) = a(y,z,x \ 1) * (x \ u). [hyper(1832,a,55892,a(flip),b,5940,a(flip)),rewrite([909(5),27551(7),909(10)])]. 125150 L(x,y,z) * (x \ (u / x)) = u / (x * a(z,y,x)). [hyper(1832,a,13405,a(flip),b,517,a),rewrite([13405(3),9420(4),76106(4)])]. 125230 x \ (a(y,z,a(u,w,x)) * v5) = a(y,z,a(u,w,x)) * (x \ v5). [hyper(1832,a,8892,a(flip),b,5940,a(flip)),rewrite([814(3),27551(6),814(7)])]. 125232 x \ (a(y,z,a(x,u,w)) * v5) = a(y,z,a(x,u,w)) * (x \ v5). [hyper(1832,a,8790,a(flip),b,5940,a(flip)),rewrite([851(3),27551(6),851(7)])]. 125507 x \ (a(y,z,y \ 1) * u) = a(y,z,y \ 1) * (x \ u). [hyper(1832,a,3270,a(flip),b,5940,a(flip)),rewrite([27551(7)])]. 125693 (x / (T(y,z) * u)) * T(y,z) = (x / (y * u)) * y. [hyper(1832,a,883,a(flip),b,82194,a(flip)),rewrite([11569(4),82192(4)]),flip(a)]. 125719 x * ((x \ (y / T(z,u))) * T(z,u)) = x * ((x \ (y / z)) * z). [hyper(1832,a,814,a(flip),b,14558,a),rewrite([10830(4),299(4),52509(4)]),flip(a)]. 126087 L((x \ y) \ y,z,u) * (x \ (x \ y)) = y / (x * a(u,z,x)). [back_rewrite(76121),rewrite([125150(10)])]. 126120 (a(x,y,x \ 1) \ z) \ u = a(x,y,x \ 1) * (z \ u). [back_rewrite(67014),rewrite([125507(10)])]. 126134 R(x,y,z \ (u * T(w,v5))) = R(x,y,z \ (u * w)). [para(685(a,1),1841(a,1,3))]. 126214 R(x,y,z * (u * a(w,v5,w))) = R(x,y,z * u). [para(2388(a,2),1846(a,1,3)),rewrite([2388(3),4116(4),2382(5)]),flip(a)]. 126227 R(x,y,z * L(T(u,w),v5,v6)) = R(x,y,L(u,v5,v6) * z). [para(752(a,2),1846(a,1,3)),rewrite([752(4),95848(4)]),flip(a)]. 126242 R(x,y,(z * T(u,w)) * v5) = R(x,y,v5 * (z * u)). [para(757(a,1),1846(a,1,3)),rewrite([928(8),1839(9)])]. 126347 R(x,y * z,u * w) = R(x,z * y,w * u). [hyper(507,a,1846,a,b,1856,a)]. 126370 R(x,L(y,z,u) * (u * z),w) = R(x,u * (z * y),w). [para(3514(a,1),1856(a,1,2)),flip(a)]. 126417 R(x,y * (K(z,u) * w),v5) = R(x,w * y,v5). [para(682(a,2),1856(a,1,2)),rewrite([682(3),64815(4),763(5)]),flip(a)]. 126422 R(x,L(T(y,z),u,w) * v5,v6) = R(x,L(y,u,w) * v5,v6). [para(752(a,1),1856(a,1,2)),rewrite([682(8),64815(9)])]. 126444 R(x,(y * T(z,u)) * w,v5) = R(x,w * (y * z),v5). [para(757(a,1),1856(a,1,2)),rewrite([928(8),1858(9)])]. 126464 R(T(x / y,z),(y \ x) \ z,y \ x) = T(x / y,y * (x \ z)). [hyper(152,a,3981,a(flip),b,1859,a),rewrite([5328(4),10683(10)]),flip(a)]. 126471 R(x,y,L(T(z,u) \ 1,w,v5)) = R(x,y,L(z \ 1,w,v5)). [para(14303(a,1),1859(a,1,3)),rewrite([1859(5),12258(5),9364(5),6391(9),12258(9),9364(9)])]. 126484 R(x,y,((z \ u) \ u) \ w) = R(x,y,z \ w). [para(5668(a,1),1859(a,2,3)),rewrite([1859(4),6387(4)]),flip(a)]. 127725 T(x,(y \ z) * (u \ y)) = T(x,T(z / u,y)). [para(14795(a,1),1954(a,1,2,1)),rewrite([5292(10),25617(10),31(7),5545(9),13699(8),31(7),32(6),298(8),12603(7),85376(5),10314(5),10301(4),54938(9),298(8),5330(7)]),flip(a)]. 127883 T(x \ K(y,z),u / x) = T(x \ K(y,z),x \ u). [para(77338(a,1),1955(a,1,2)),rewrite([923(4),20(3),365(6),923(8),20(7)]),flip(a)]. 128084 T(x,y \ (z \ T(u,z * y))) = T(x,u / (T(y,z) * z)). [para(226(a,1),1985(a,1,2,2)),rewrite([1007(6),57561(6)])]. 128086 T(x,y / (T(z,u) * u)) = T(x,y / (u * z)). [para(268(a,1),1985(a,1,2,2)),rewrite([29939(6),128084(5),1276(8)])]. 128307 T(x,T(y * (z \ 1),u) \ w) = T(x,T(y / z,u) \ w). [para(2020(a,1),434(a,1,2,2)),rewrite([103106(8),10120(8),12016(8),373(2),57579(6)]),flip(a)]. 128325 T(x,y * (K(y * z,u) * (z \ w))) = T(x,T(z / y,u) \ w). [para(2020(a,1),454(a,1,2,1)),rewrite([2091(7),1007(6),12923(6),1104(3),3439(3),763(5),1441(6),128307(12)])]. 128401 T(x,y / (z \ u)) = T(x,y * (u \ z)). [para(4715(a,2),2022(a,1,2,2)),rewrite([4715(4),5333(5),19(3)]),flip(a)]. 128661 (x * x) \ K(x \ 1,y) = T(1 / x,y) / x. [hyper(1465,a,3396,a(flip),b,2028,a),rewrite([1097(3),1104(7),22623(7)])]. 128761 T(T(x,y) / z,K(x,y)) = (x / z) * K(x,y). [para(2028(a,1),153(a,1,1)),rewrite([1105(3),44(9),12679(8),45(8),5902(8),1827(8),46(7),89897(8)]),flip(a)]. 129031 K(x,y) * ((T(y,x) / z) / u) = (y / z) / u. [para(2028(a,1),762(a,1,1)),flip(a)]. 129033 L(x,(y \ T(z,u)) * w,v5) = L(x,w * (y \ z),v5). [para(2028(a,1),877(a,2,2,2)),rewrite([302(4),874(6),6909(4),878(7)])]. 129078 (x \ 1) * T(1 / x,y) = T(1 / x,y) / x. [back_rewrite(42081),rewrite([128661(5)]),flip(a)]. 129104 (1 / x) * T(x \ 1,y) = T(1 / x,y) / x. [back_rewrite(91074),rewrite([129078(12)])]. 129309 (T(x,y) / z) \ K(x,y) = (x / z) \ 1. [para(2034(a,1),1351(a,2,1)),rewrite([301(6)]),flip(a)]. 129396 K(x,y) * ((x / z) / u) = (T(x,y) / z) / u. [para(2034(a,1),762(a,1,1)),flip(a)]. 129796 a(x,y,(z \ (u \ K(w,v5))) * v6) = a(x,y,(z \ (u \ 1)) * v6). [para(2039(a,1),800(a,1,3,1,2)),rewrite([800(5),774(9),10453(12)])]. 129966 x / T(y,K(x,z)) = T(x / y,K(x,z)). [para(1582(a,2),2051(a,1,2)),rewrite([1104(2),45(4),1113(3),45(2),46(2),45(2),13921(3),1104(6),1863(7),2032(7)])]. 130065 a(x,y,L(z \ T(u,w),v5,v6) * v7) = a(x,y,L(z \ u,v5,v6) * v7). [para(2051(a,1),782(a,1,3,1,1)),rewrite([782(5),774(8),730(10),815(11)])]. 130067 a(x * (y * (z \ T(u,w))),v5,v6) = a(x * (y * (z \ u)),v5,v6). [para(2051(a,1),827(a,1,1,2,2)),rewrite([827(5),774(8),98130(11)])]. 130234 K(x,y) * (L(1 / z,u,w) \ 1) = 1 / L(z \ K(y,x),u,w). [para(2082(a,1),4248(a,1,1,1,2)),rewrite([1863(4),7288(7)])]. 130305 T(x / ((y \ 1) * z),y \ z) = ((y \ 1) * z) \ x. [hyper(152,a,503,a(flip),b,2086,a),flip(a)]. 130313 K(x / ((y \ 1) * z),T(u,z * y)) = K(z \ ((y \ 1) \ x),u). [hyper(1465,a,2086,a(flip),b,21654,a),rewrite([2086(4),232(11),1787(7),5791(12)])]. 130324 K(x / ((y \ 1) * z),u) = K(x * (z \ y),u). [para(2086(a,1),1577(a,1,2)),rewrite([1787(7),5791(7),16088(7),5900(6),12820(6),373(2),475(4),5206(3)]),flip(a)]. 130368 R(T(x / (y \ 1),y \ z),y \ 1,z) = ((y \ 1) * z) \ (x * z). [para(2086(a,1),5537(a,1,1))]. 130390 K(x \ ((y \ 1) \ z),u) = K((x \ y) * z,u). [back_rewrite(130313),rewrite([130324(7),36991(5),19846(4)]),flip(a)]. 130404 K(x \ ((1 / y) \ z),u) = K((x \ y) * z,u). [back_rewrite(3935),rewrite([130390(10)])]. 130459 K(x,L(T(y,z),u,w) / v5) = K(x,T(y,z) / v5). [para(755(a,2),2097(a,1,2)),rewrite([2143(5),2934(5),5320(5),10540(4)]),flip(a)]. 130471 K(x,L(y,z,u) / w) = K(x,y / w). [back_rewrite(28561),rewrite([130459(5),361(4)]),flip(a)]. 131549 K(x,y) * (z * (u \ K(y,x))) = T(z * (u \ 1),K(x,y)). [para(2121(a,1),728(a,1,1,2)),flip(a)]. 131586 K(x,y) * (R(z \ K(x,y),u,w) \ v5) = R(z \ 1,u,w) \ v5. [para(2121(a,1),891(a,1,1,1)),flip(a)]. 131729 x \ T(K(y,K(z,u)) * w,v5) = (x \ T(w,v5)) * K(y,K(z,u)). [para(322(a,1),2122(a,1,2)),rewrite([16581(4),682(6),62605(6)]),flip(a)]. 131748 x \ T(y * K(z,u),u) = (x \ T(y,u)) * K(z,u). [para(1222(a,1),2122(a,1,2)),rewrite([679(3),682(5),62605(5)]),flip(a)]. 132007 ((1 / T(x,y)) / z) \ (x \ K(y,x)) = z * K(x \ 1,x). [para(1698(a,1),2129(a,1,2)),rewrite([17000(11)])]. 132118 R(T(x,y),z,u) * (1 / w) = R(x,z,u) * (K(x,y) / w). [hyper(1468,a,2133,a(flip),b,69269,a)]. 132194 T(x,y) * (K(y,x) / z) = x * (1 / z). [para(2133(a,1),2188(a,1,2)),flip(a)]. 132293 a(x,y,z * ((u \ 1) * (w * w))) = a(x,y,(u \ (w * w)) * z). [para(2133(a,1),806(a,1,3,2,1)),rewrite([5860(5),785(4),682(9),96190(12),873(10),96205(10)]),flip(a)]. 132381 x * (K(y,x \ 1) * K(z,u)) = T(1 / x,y) \ K(z,u). [hyper(1465,a,2140,a(flip),b,2192,a),rewrite([979(3),679(6),1104(4),3087(4),1097(3),682(6)])]. 132675 K(x,y) * ((1 / z) / u) = (K(x,y) / z) / u. [para(2143(a,1),762(a,1,1)),flip(a)]. 133074 (T(x \ y,y) \ z) * T(x \ y,y) = ((y / x) \ z) * (y / x). [hyper(1468,a,2187,a(flip),b,1459,a),rewrite([61350(5),31434(5)]),flip(a)]. 133132 K(x,T(y \ z,u * (w * z))) = K(x,T(z / y,u * w)). [para(5815(a,2),2187(a,1,2,1)),rewrite([31(7),305(8),48445(6),77102(11),12942(11),12640(11),16141(10)])]. 133934 (x \ 1) \ (K(y,x) * z) = (x \ K(x,y)) \ z. [para(2309(a,1),3869(a,2,1)),rewrite([1104(4),301(9)])]. 134137 K(x,y) * ((z * z) * (y \ u)) = (z * z) * (T(y,x) \ u). [para(2310(a,1),32277(a,2,2))]. 134146 K(x,y) * (((y \ z) * u) * w) = ((T(y,x) \ z) * u) * w. [para(2310(a,1),14822(a,1,1,1)),rewrite([12608(8),301(7),12602(7)]),flip(a)]. 134254 x * a(y \ x,z,z \ y) = ((x / y) * z) * (z \ y). [hyper(1468,a,2311,a(flip),b,83379,a),rewrite([391(7)])]. 134454 T(x \ K(y,x \ 1),x \ y) = L(x \ 1,y,x). [para(2314(a,1),2073(a,1,1)),rewrite([99974(7),4163(12),2023(11),127883(9)]),flip(a)]. 134744 a(x,(y * y) * (z * u),w) = a(x,u * ((y * y) * z),w). [para(14(a,1),2333(a,1,2))]. 134746 a(x,y * L(z / y,u,w),v5) = a(x,y * L(y \ z,u,w),v5). [para(213(a,1),2333(a,1,2)),flip(a)]. 134760 a(x,y * (T(z,u) \ 1),w) = a(x,(z \ 1) * y,w). [para(14300(a,1),2333(a,1,2)),rewrite([2330(5),2332(9),97544(9)])]. 134807 a(x,y * L(T(z,u),w,v5),v6) = a(x,L(z,w,v5) * y,v6). [para(752(a,2),2333(a,1,2)),rewrite([752(4),65884(4)]),flip(a)]. 134809 a(x,((y \ 1) * z) * y,u) = a(x,L(z,y \ 1,y),u). [para(3866(a,1),2333(a,1,2)),flip(a)]. 134814 a(x,y * ((y * z) \ z),u) = a(x,a(y,y,z),u). [para(5069(a,1),2333(a,1,2)),rewrite([2330(6)]),flip(a)]. 134841 a(x,y * (z * (u * K(w,v5))),v6) = a(x,(z * u) * y,v6). [para(756(a,1),2333(a,1,2)),rewrite([97545(5)]),flip(a)]. 134842 a(x,y * (z * T(u,w)),v5) = a(x,(z * u) * y,v5). [para(757(a,2),2333(a,1,2)),rewrite([757(4),2322(4)]),flip(a)]. 134853 a(x,(y \ 1) * (z * z),u) = a(x,y \ (z * z),u). [back_rewrite(32620),rewrite([134760(6)])]. 134931 T(x,y \ (K(z,u) / w)) = T(x,y \ (w \ K(z,u))). [para(639(a,1),2346(a,1,2,2)),rewrite([1404(7),28603(7),5905(5),128086(5),639(4),1007(4)]),flip(a)]. 135803 x / (T(y,K(z,u)) * x) = T(x / (y * x),K(z,u)). [para(2543(a,1),13898(a,1,2,2)),rewrite([5902(6),19(4),46(4),45(4),72185(5)])]. 136055 T(L(x,y,z) / u,T(x,u)) = T(L(x,y,z) / u,x). [hyper(507,a,298,a(flip),b,2546,a),rewrite([31(7),298(8)]),flip(a)]. 136281 T(x / y,z * (x / y)) = T(x / y,z * (y \ x)). [para(503(a,1),2547(a,1,2,2)),rewrite([976(8,R)]),flip(a)]. 136287 T(T(x / y,z),u * T(y \ x,z)) = T(T(x / y,u * (y \ x)),z). [para(1576(a,1),2547(a,1,2,2)),rewrite([976(12,R),9806(12),976(10,R),136281(10)])]. 137110 K(T(x,y) * z,x \ 1) = K(x * z,x \ 1). [hyper(507,a,1097,a(flip),b,2553,a),rewrite([7352(6),373(2),1097(11),31019(11)]),flip(a)]. 137543 K(x * (y \ (y / z)),u) = K(x / z,u). [para(2665(a,1),475(a,1,2)),rewrite([1787(7),19(5),34677(5),1577(3)]),flip(a)]. 137576 K(x,T(y \ (y / z),u)) = K(x,T(z \ 1,u)). [para(2665(a,1),3074(a,1,1,2)),rewrite([3074(6)]),flip(a)]. 137890 (x \ (T(x,y) \ z)) * K(x,T(x \ z,y)) = T(x,T(y,z)) \ (z / x). [para(166(a,2),105263(a,2,1,1)),rewrite([5411(3),114738(12)])]. 137893 T(x * K(x \ y,x),z) \ (x \ y) = T(x,T(z,y)) \ (y / x). [para(1459(a,2),105263(a,2,1,1,2)),rewrite([5411(3),137890(7),1459(7)]),flip(a)]. 137940 (L(x,y,z) \ u) * K(x,u) = K(x,u) * (L(x,y,z) \ u). [para(3129(a,2),105263(a,2,1)),rewrite([305(3),44(3),45(3),368(4),305(5),44(5),45(5),368(6),306(4),305(6),305(7),866(7),330(8),12705(7),676(7),861(6),7288(8)])]. 138495 x \ ((1 / y) \ T(x,y)) = R(y,y,x). [hyper(507,a,5070,a,b,116527,a),rewrite([122172(14),492(10),3835(9),23(7),2124(7)]),flip(a)]. 138860 K(x,T(K(y,y * z) * u,w)) = K(x,T(K(z,y) * u,w)). [para(991(a,1),26554(a,1,2,2)),rewrite([26574(5),416(4),991(6)]),flip(a)]. 138869 K(x,T(K(y,z \ u) * w,v5)) = K(x,T(K(y,z * u) * w,v5)). [para(429(a,1),26554(a,1,2,2)),rewrite([1528(5),26554(5),429(9)]),flip(a)]. 139545 K(x,T(y \ (T(z,y) \ u),w)) = K(x,T(z \ (y \ u),w)). [para(25601(a,2),179(a,2,2)),rewrite([1010(6),30086(6),179(5),25601(10),12040(9)]),flip(a)]. 139778 K(x,T(y * K(z \ u,z),w)) = K(x,T(K(u,z) * y,w)). [para(16005(a,2),26139(a,2,2,1,2)),rewrite([853(3),27808(6),138869(5),138860(5),16005(9),23342(10)]),flip(a)]. 140530 T(x,T((y \ z) * K(u \ y,z / y),w)) = T(x,T(z / y,u * w)). [para(23665(a,1),192(a,1,2,2)),rewrite([10776(7),23128(12),5904(12),5292(11),12419(12)])]. 140542 T(x,T(y \ z,u * (w * (y * v5)))) = T(x,T(z / y,w * (u * v5))). [para(23665(a,1),14166(a,1,2,1,2)),rewrite([10776(7),5904(8),140530(8),85358(11),5904(11),5292(10),12434(10)]),flip(a)]. 141151 L(T(x * K(x \ y,x),z),u,w) * (y / T(x,z)) = L(x,u,w) * (x \ y). [hyper(507,a,512,a,b,16051,a),rewrite([39939(5),17000(6)]),flip(a)]. 141517 K(x / (y * R(z,u,w)),v5) = K(x / (y * z),v5). [para(26163(a,2),16096(a,1,1,1)),rewrite([26163(4),5210(8),28497(8),5791(6),5207(6),7871(5),5900(4),1577(4),4599(3),359(9)]),flip(a)]. 141642 K(x,T(y * K(z / u,w),v5)) = K(x,T(y * K(u * z,w),v5)). [para(27780(a,1),2305(a,1,2,2)),rewrite([2305(6)]),flip(a)]. 141999 K(x \ T(y / z,u),w * w) = K(x \ T(z \ y,u),w * w). [para(14852(a,2),19859(a,1,1)),rewrite([12612(6),19859(5),5297(12),119980(12),57309(11)])]. 142003 K(x \ T(y,z),u * u) = K(x \ y,u * u). [para(708(a,1),19859(a,2,1)),rewrite([19859(5),1524(5),50127(10)])]. 142009 K(x \ (y / z),u * u) = K(x \ (z \ y),u * u). [back_rewrite(141999),rewrite([142003(5),142003(9)])]. 142220 K(x,T(x \ (y \ x),z)) = K(x,T(y \ 1,z)). [para(3140(a,2),18909(a,1,2,1)),rewrite([32(4),12609(5),4150(4),12040(8)]),flip(a)]. 143040 T(T(x * K(y,x),z),u / T(x,z)) = T(T(x * K(y,x),x \ u),z). [para(188(a,1),84071(a,1,2,2)),rewrite([6743(5),33308(5),869(4),10407(4),5795(6),36823(7),84071(5),10776(9),1684(12)]),flip(a)]. 144025 x / T(y * K(z \ 1,z),u) = (x / T(y,u)) * K(z,z \ 1). [para(31893(a,1),4357(a,2,2)),rewrite([1105(6),1860(11),12606(10)]),flip(a)]. 144172 (x \ (y / z)) * K(y,K(u,w)) = x \ (T(y,K(u,w)) / z). [para(2034(a,1),16581(a,1,2)),flip(a)]. 144710 (((x / y) \ 1) \ 1) * (y \ x) = (y \ x) * (((x / y) \ 1) \ 1). [para(1353(a,2),16800(a,1,1)),rewrite([1859(6),10683(6),46051(6),741(13)])]. 145557 K(x / T(y / z,u),T(w,z * y)) = K(T(y / z,u) \ x,w). [para(762(a,2),19858(a,1,2,2)),rewrite([762(6),60801(8),357(8),367(12)])]. 145558 K(x / T(y \ z,u),T(w,y * z)) = K(T(y \ z,u) \ x,w). [para(774(a,2),19858(a,1,2,2)),rewrite([774(6),28652(8),357(8),749(11),367(12)])]. 146255 (x / ((y / z) * u)) * K(w,z \ y) = x / (T(y / z,T(w,z)) * u). [para(16824(a,1),4357(a,2,2)),rewrite([1105(6),1844(11),12606(11)])]. 146357 K(x / T(y,T(z,u) * w),v5) = K(x / T(y,w * z),v5). [para(19955(a,1),414(a,1,1,2)),rewrite([84097(6),853(3),34622(6),87556(5),853(7),87556(11),86465(8)]),flip(a)]. 147430 K((x \ y) * z,T(u,w * x)) = K(y * (z / x),T(u,w)). [para(1095(a,1),23087(a,1,1,1)),rewrite([60801(6),5206(6),20297(6),1095(8)])]. 147855 T(x,y * (z * (u * K(w,z * y)))) = T(x,T(y * z,w) * u). [para(39362(a,1),720(a,1,2)),rewrite([9958(5),5292(10)]),flip(a)]. 148224 K(x \ (y \ x),z * x) = K(y \ 1,x * z). [hyper(152,a,2429,a(flip),b,18768,a),rewrite([5791(8)]),flip(a)]. 148484 T(x,T(y * z,y * u) \ w) = T(x,T(z * y,u) \ w). [para(16958(a,1),434(a,1,2,2)),rewrite([10120(7),29900(7),13645(10)])]. 148919 K(x,T(y * z,u * (y * w))) = K(x,T(z * y,u * w)). [para(271(a,1),22440(a,1,2,2)),rewrite([5292(6),23318(7),6799(5),602(12),22(9),5330(8),1035(9)]),flip(a)]. 149013 K(x * x,x \ y) = K(x * x,x * y). [hyper(507,a,28813,a,b,48127,a),rewrite([4044(3),87753(5),48574(5),1432(5),4044(6),4044(10),109834(12),12250(12),5351(10),235(9),87753(8),1432(8)])]. 149363 a(x,y,L(y * x,z,z)) = a(x,y,y * x). [hyper(141,a,93421,a),rewrite([8871(3)])]. 149520 a(x,x,(y \ 1) \ z) = a(x,x,y * z). [hyper(141,a,93454,a),rewrite([8871(3),11196(3)])]. 149754 (L(x * x,y,z) * u) \ w = u \ (L(x * x,y,z) \ w). [hyper(152,a,3869,a(flip),b,101789,a)]. 149755 (L(x * x,y,z) \ 1) * u = L(x * x,y,z) \ u. [hyper(152,a,3277,a(flip),b,101789,a),rewrite([38407(4)])]. 150192 (1 / x) \ a(y,z,L(z,u,w)) = x * a(y,z,L(z,u,w)). [para(27156(a,1),5063(a,1,1,1))]. 150209 a(x,y,z) * (K(u \ 1,u) * w) = w * ((u \ a(x,y,z)) * u). [para(41173(a,1),290(a,1,2,1)),rewrite([41173(9),763(12),27610(11)])]. 150427 L(x,y,a(z,z,L(y,u,w))) = x. [hyper(1832,a,42398,a(flip),b,9234,a),rewrite([5242(3),375(5)])]. 150734 K(x,T(y * (z \ (u \ w)),w * (u * z))) = K(x,((u * z) \ w) * y). [hyper(1465,a,893,a,b,490,a(flip)),rewrite([893(9),10366(6),29(10),1007(7),866(7),1787(7),1035(7)])]. 150735 K(x * (y \ (z \ u)),T(w,u * (z * y))) = K(((z * y) \ u) * x,w). [hyper(1465,a,893,a,b,471,a(flip)),rewrite([10366(6),893(9),29(10),1007(7),866(7),1787(7),1035(7)])]. 150737 K(x,y \ (z \ u)) * ((z * y) \ u) = ((z * y) \ u) * K(x,y \ (z \ u)). [hyper(507,a,861,a(flip),b,893,a),rewrite([1010(5),5791(9),893(12)]),flip(a)]. 150756 K(x,y) * ((y * x) \ z) = (T(y,x) * x) \ z. [para(216(a,1),893(a,1,1)),flip(a)]. 150768 K(x,K(y,z)) * ((u * x) \ w) = (u * T(x,K(y,z))) \ w. [para(13898(a,1),893(a,1,1,2)),rewrite([44(6),45(6),46(6)]),flip(a)]. 150793 K(x \ y,x) * ((z * (u \ y)) \ w) = (z * (u \ (x * (y / x)))) \ w. [para(707(a,1),893(a,1,1,2)),flip(a)]. 150805 K(x,y) * ((T(x,y) * z) \ u) = T(x * z,K(x,y)) \ u. [para(10668(a,1),893(a,1,1)),flip(a)]. 150807 K(x,y) * ((z * (1 / (1 / u))) \ w) = (z * (1 / (K(x,y) / u))) \ w. [para(4651(a,2),893(a,1,1,2)),rewrite([62264(5),3866(6),61899(5)]),flip(a)]. 150814 K(x,y) * ((z * (u \ K(x,y))) \ w) = (z * (u \ 1)) \ w. [para(2121(a,1),893(a,1,1,2)),flip(a)]. 150943 K(x,y) * (K(x,x \ 1) * z) = ((T(x,y) \ 1) * x) \ z. [para(742(a,1),894(a,1,2,1)),rewrite([36861(6),1586(5),1104(5)])]. 151003 K(x,y) * (((z * y) \ u) * w) = ((z * T(y,x)) \ u) * w. [para(894(a,1),3748(a,1,2,1)),rewrite([12602(5),1104(5)])]. 151066 a(x,y,z * ((u * T(w,v5)) \ v6)) = a(x,y,z * ((u * w) \ v6)). [para(894(a,1),807(a,1,3,2)),flip(a)]. 151070 L(x,((y * T(z,u)) \ w) * v5,v6) = L(x,v5 * ((y * z) \ w),v6). [para(894(a,1),877(a,2,2,2)),rewrite([302(5),874(7)])]. 151096 R(x,y,(z * T(u,w)) \ v5) = R(x,y,(z * u) \ v5). [para(894(a,1),1839(a,1,3)),flip(a)]. 151111 T((x \ 1) \ 1,y) * (x \ z) = ((T(x,y) \ 1) * x) \ z. [back_rewrite(109512),rewrite([150943(13)])]. 151114 (x * T(x,y)) \ (z * u) = ((x * T(x,y)) \ z) * u. [back_rewrite(115323),rewrite([151003(5)]),flip(a)]. 151122 K(x,y) * (((x * T(T(x,y),y)) \ z) * u) = ((x * T(x,y)) \ z) * u. [back_rewrite(115324),rewrite([151114(11)])]. 151175 L(x,L(T(y,z),u,w) \ v5,v6) = L(x,L(y,u,w) \ v5,v6). [para(9235(a,1),895(a,1,2,1)),rewrite([4175(4),851(6),9235(6),4175(7)])]. 151181 L(x,(y \ K(z,K(u,w) * y)) \ v5,v6) = L(x,(y \ K(u,w)) \ v5,v6). [para(26408(a,1),895(a,2,2,1)),rewrite([866(6),774(8),853(2),11037(9),12624(9),903(13),10382(13),923(10),20(9)])]. 151182 L(x,(y \ K(z,u)) \ w,v5) = L(x,(y \ 1) \ w,v5). [para(26579(a,1),895(a,2,2,1)),rewrite([923(8),7301(9),5788(7),151181(6),10382(11),774(8),923(9),7301(10)])]. 151414 L(x,y * ((z * T(u,w)) \ v5),v6) = L(x,y * ((z * u) \ v5),v6). [para(896(a,1),877(a,1,2,2)),rewrite([301(4),151003(10),151070(10)])]. 151415 T(x * K(y,y \ 1),z) \ u = K(y \ 1,y) * (T(x,z) \ u). [para(4442(a,1),896(a,1,2,1)),rewrite([774(6),1278(7),11291(11)]),flip(a)]. 151592 K(x,y) * ((L(y,z,u) \ w) * v5) = (L(T(y,x),z,u) \ w) * v5. [para(31(a,1),897(a,2,1,1)),rewrite([305(2)])]. 151621 T(T(x,y),z) \ (x * u) = (T(T(x,y),z) \ x) * u. [para(612(a,1),897(a,1,2,1)),rewrite([69352(5)])]. 151763 a(x,(T(y,z) \ u) * w,v5) = a(x,(y \ u) * w,v5). [para(897(a,1),5843(a,1,2,1,2)),rewrite([302(6),763(6),134146(5),25(11),302(10),52453(9)])]. 151787 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(5068(a,1),897(a,1,2,1)),rewrite([2543(3),79511(10),763(10)])]. 151800 K(x,y) * (((y \ z) * u) / w) = ((T(y,x) \ z) * u) / w. [para(897(a,1),762(a,1,1)),flip(a)]. 151826 R(x,y,(T(z,u) \ w) * v5) = R(x,y,(z \ w) * v5). [para(897(a,1),1839(a,1,3))]. 151827 R(x,y,z * (T(u,w) \ v5)) = R(x,y,(u \ v5) * z). [para(897(a,2),1846(a,1,3)),rewrite([897(4),151826(4)]),flip(a)]. 151828 R(x,(T(y,z) \ u) * w,v5) = R(x,(y \ u) * w,v5). [para(897(a,1),1856(a,1,2)),rewrite([682(8),64815(9)])]. 151829 R(x,y * (T(z,u) \ w),v5) = R(x,(z \ w) * y,v5). [para(897(a,2),1856(a,1,2)),rewrite([897(4),151828(4)]),flip(a)]. 151835 a(x,y * (T(z,u) \ w),v5) = a(x,(z \ w) * y,v5). [para(897(a,2),2333(a,1,2)),rewrite([897(4),151763(4)]),flip(a)]. 151853 L(x,((T(y,z) \ u) * w) \ v5,v6) = L(x,((y \ u) * w) \ v5,v6). [para(897(a,1),895(a,2,2,1)),rewrite([923(6),7301(7),5788(5)]),flip(a)]. 151923 R(T(1 / x,y),x,z) \ z = x * (K(y,x \ 1) * z). [back_rewrite(115495),rewrite([151787(10)])]. 152018 a(((T(x,y) \ z) \ u) * w,v5,v6) = a(((x \ z) \ u) * w,v5,v6). [para(68261(a,1),898(a,1,1,1,1)),rewrite([10119(4),928(5),52445(6)]),flip(a)]. 152103 L(x,(L(T(y,z),u,w) \ v5) * v6,v7) = L(x,(L(y,u,w) \ v5) * v6,v7). [para(31(a,1),901(a,1,2,1,1))]. 152104 L(x,(R(T(y,z),u,w) \ v5) * v6,v7) = L(x,(R(y,u,w) \ v5) * v6,v7). [para(32(a,1),901(a,1,2,1,1))]. 152132 L(x,((T(y,z) \ u) * w) * v5,v6) = L(x,((y \ u) * w) * v5,v6). [para(5804(a,1),901(a,2,2,1)),rewrite([32(3),70268(5)])]. 152133 L(x,(y \ (K(z,u) * w)) * v5,v6) = L(x,(y \ w) * v5,v6). [para(3706(a,1),901(a,1,2,1,1)),rewrite([774(3),928(4),12624(5),923(6)]),flip(a)]. 152138 L(x,((T(y,z) \ u) \ w) * v5,v6) = L(x,((y \ u) \ w) * v5,v6). [para(68261(a,1),901(a,1,2,1,1)),rewrite([10119(4),928(5),12624(6)]),flip(a)]. 152141 L(x,((T(y,z) * u) \ w) * v5,v6) = L(x,((y * u) \ w) * v5,v6). [para(10781(a,1),901(a,1,2,1,1)),rewrite([893(4),928(5),12624(6)]),flip(a)]. 152151 a(x,((y / z) \ u) * w,v5) = a(x,((z \ y) \ u) * w,v5). [hyper(1832,a,902,a(flip),b,9236,a),rewrite([13508(5)]),flip(a)]. 152170 L(x,((((y \ z) \ z) \ u) \ w) * v5,v6) = L(x,((y \ u) \ w) * v5,v6). [para(5668(a,1),902(a,2,2,1,1)),rewrite([902(6),152138(6)]),flip(a)]. 152177 L(x,((y \ T(z,u)) \ w) * v5,v6) = L(x,((y \ z) \ w) * v5,v6). [para(2051(a,1),902(a,1,2,1,1)),rewrite([902(5),774(8),923(9),152133(11)])]. 152217 L(x,(y * y) * ((z * y) \ u),w) = L(x,L(z / y,y,y) \ u,w). [para(14874(a,1),903(a,1,2,1)),rewrite([4175(4),5876(7),5643(8),55730(9)]),flip(a)]. 152234 L(x,(y \ (K(z,u) * w)) \ v5,v6) = L(x,(y \ w) \ v5,v6). [para(762(a,1),903(a,1,2,1)),rewrite([923(4),7301(5),903(3)]),flip(a)]. 152269 L(x,L(y / z,u,w) \ v5,v6) = L(x,L(z \ y,u,w) \ v5,v6). [para(14404(a,1),905(a,1,2,1,1)),rewrite([21(4)]),flip(a)]. 152297 L(x,(y * y) * ((z * y) \ u),w) = L(x,((y \ 1) * z) \ u,w). [back_rewrite(152217),rewrite([152269(9),3277(7),10095(10)])]. 152546 a(x,y,z * (u \ (w \ K(v5,v6)))) = a(x,y,z * (u \ (w \ 1))). [para(2143(a,1),907(a,1,3,2,2)),rewrite([908(5),96040(12)])]. 152596 a(x,y,(z * (u * u)) \ w) = a(x,y,z \ ((u * u) \ w)). [para(4952(a,1),909(a,1,3,1)),rewrite([5873(7)])]. 152632 a(x,y,(z \ (K(u,w) * v5)) \ v6) = a(x,y,(z \ v5) \ v6). [para(762(a,1),910(a,1,3,1)),rewrite([923(4),784(5),910(3)]),flip(a)]. 153123 L((x * y) \ x,x * y,x) = L(y,x,x) \ 1. [para(14620(a,1),915(a,2,1)),rewrite([3264(6)])]. 153173 L(x,y,L(z \ u,z,u)) = L(x,y,u * z). [para(915(a,2),3264(a,1,3)),rewrite([3264(4),1504(7),4676(7)])]. 153176 a(x,y,L(z,x,L(x,y,z) \ u)) = (x * (R(x,y,z) \ u)) \ u. [para(9234(a,1),915(a,1,1)),rewrite([4842(4),8871(4),6353(7)])]. 153422 (x * (K(y,z) * u)) \ x = ((x * u) \ x) * K(z,y). [hyper(152,a,679,a(flip),b,916,a),rewrite([1104(2),928(3),1104(5),923(6),12604(5),1105(6),763(7)]),flip(a)]. 153857 L(x,y,z \ (u \ ((w * w) * v5))) = L(x,y,z \ (u \ v5)). [para(19122(a,2),921(a,2,3,2)),rewrite([5724(3),97705(5),55731(5),19122(7)]),flip(a)]. 154086 L(T(x,y),z,u) \ (K(x,w) * v5) = K(x,w) * (L(T(x,y),z,u) \ v5). [para(4284(a,2),924(a,1,1,1)),rewrite([7288(5)]),flip(a)]. 154115 K(K(x,y) * (z / u),u * w) = K(K(x,y) * (u \ z),w * u). [para(925(a,2),483(a,2,1)),rewrite([762(5),5320(9),5293(8),31315(7),37879(6),925(10),5321(14),5295(13),5297(12),1174(12),10756(12),58822(11)])]. 154539 T((K(x,y) / z) * u,K(x,y)) = (1 / z) * (u * K(x,y)). [para(2546(a,2),931(a,1,1)),rewrite([866(4),330(5),2041(4),763(7),502(6)]),flip(a)]. 154625 T(x / T(y,z),y) * u = (y \ x) * (K(z,y) * u). [hyper(152,a,912,a(flip),b,932,a),rewrite([68261(8)]),flip(a)]. 154721 a(x,y \ (z * (K(u,w) * v5)),v6) = a(x,y \ (z * v5),v6). [para(932(a,1),819(a,1,2,2)),rewrite([97531(5)]),flip(a)]. 154768 K(x \ y,x) * ((y / T(x,z)) * u) = (x \ y) * (K(z,x) * u). [back_rewrite(90321),rewrite([154625(10)])]. 154846 ((x * y) * z) \ (K(x,y) * u) = ((y * x) * z) \ u. [para(18594(a,1),933(a,2,1,1)),rewrite([757(4),502(2)])]. 154946 a(x,((y \ (K(z,u) * w)) * y) \ v5,v6) = a(x,((y \ w) * y) \ v5,v6). [para(1582(a,2),935(a,1,2,1)),rewrite([923(3),5297(6),58100(6),154115(6),31419(7),940(6),923(7)]),flip(a)]. 154962 a(x,(y * (T(z,u) \ w)) \ v5,v6) = a(x,(y * (z \ w)) \ v5,v6). [para(2192(a,1),935(a,1,2,1,2)),flip(a)]. 154965 a(x,(y * ((z \ u) \ u)) \ w,v5) = a(x,(y * z) \ w,v5). [para(5670(a,1),935(a,1,2,1,2)),rewrite([935(7),939(10)])]. 154974 a(x,((y \ z) * y) \ u,w) = a(x,z \ u,w). [para(16544(a,2),935(a,1,2,1)),rewrite([1863(6),1863(9),763(12),935(14),939(12),938(11),774(8),492(7),9692(7),29647(6),10776(4),749(5),5676(5),40728(5),940(5),923(3),819(4),923(5),154946(8)]),flip(a)]. 155107 a(x,L(y / z,u,w) \ v5,v6) = a(x,L(z \ y,u,w) \ v5,v6). [para(9235(a,1),938(a,1,2,1)),rewrite([10571(4),850(6),9235(8),10571(8)])]. 155139 a(x,(y * (z * T(u,w))) \ v5,v6) = a(x,(y * (z * u)) \ v5,v6). [para(3514(a,1),939(a,2,2,1)),rewrite([31(3),3514(4)])]. 155563 (x / y) * L(y \ x,z,u) = (y \ x) * L(x / y,z,u). [hyper(1468,a,3350,a(flip),b,944,a),rewrite([379(4),503(4),26782(4),26788(8)]),flip(a)]. 155625 L(x \ y,z,u) * (y / x) = (x \ y) * L(y / x,z,u). [back_rewrite(26788),rewrite([155563(8)])]. 155641 K(x,y \ z) * (z * u) = z * (K(x,z / y) * u). [hyper(1467,a,1695,a(flip),b,945,a)]. 155841 K(x * (T(y,z) \ K(u,w)),v5) = K(x * T(y \ K(u,w),z),v5). [hyper(152,a,414,a(flip),b,949,a),rewrite([89603(6),84097(10)]),flip(a)]. 155875 K(x / T(y \ z,u),w) = K(x * T(z \ y,u),w). [para(1576(a,2),949(a,2,1,2)),rewrite([12750(5),10424(5),1576(7)]),flip(a)]. 155877 K(x / T(y / z,u),w) = K(x * T(z / y,u),w). [para(3356(a,2),949(a,2,1,2)),rewrite([396(7),7070(6),31955(6),10424(5),3356(8),47892(9)]),flip(a)]. 156018 K(x * T(y \ K(y,z),u),w) = K(x / T(y,u * z),w). [back_rewrite(87555),rewrite([155841(5)])]. 156026 K(T(x \ y,z) \ u,w) = K(T(y \ x,z) * u,w). [back_rewrite(145558),rewrite([155875(6),28818(6)]),flip(a)]. 156041 K(T(x / y,z) \ u,w) = K(T(y / x,z) * u,w). [back_rewrite(145557),rewrite([155877(6),28880(6)]),flip(a)]. 157008 K(x,((y * z) \ u) * w) = K(x,(z \ (y \ u)) * w). [hyper(1465,a,1007,a,b,47065,a),rewrite([1007(17),23193(18),1787(7),1035(7),150734(7)])]. 157027 K(((x * y) \ z) * u,w) = K((y \ (x \ z)) * u,w). [para(1007(a,2),187(a,1,2)),rewrite([1007(6),1787(7),1035(7),150735(7)])]. 157042 T(x,T(y,z * u) \ (z \ w)) = T(x,z \ (T(y,u) \ w)). [para(1575(a,1),1007(a,1,2,1)),rewrite([1007(4),11300(9)]),flip(a)]. 157101 T(x,y \ (R(z,u,w) \ v5)) = T(x,y \ (z \ v5)). [para(26164(a,1),1007(a,1,2,1)),rewrite([432(6),1007(4),5553(10),9949(9),1023(8)])]. 157131 T(x,y \ (z \ (u * w))) = T(x,(y \ (z \ u)) * w). [para(5823(a,2),1007(a,1,2)),rewrite([5823(6),5330(4),10120(4)]),flip(a)]. 157193 K(T(x,y * (z \ u)) * (u \ (z * y)),w) = K((u \ z) * (y * x),w). [para(1007(a,1),2291(a,1,1,1)),rewrite([12750(7),12227(7),12820(11),12344(11)])]. 157194 K(T(x,y * (z \ u)) * ((u \ z) * y),w) = K(((z \ u) \ y) * x,w). [para(1007(a,2),2291(a,1,1,1)),rewrite([1007(3),12750(7),11928(7),12227(7),12820(11)])]. 157212 T(x,(y \ (z \ K(u,w))) * v5) = T(x,K(u,w) * (y \ (z \ v5))). [para(923(a,1),1007(a,2,2,2)),rewrite([928(3),923(4),5330(5),12625(5),12164(5),157131(10)]),flip(a)]. 157371 (x * (L(y,z,u) \ 1)) * L((y \ 1) \ 1,z,u) = R(x,y \ 1,y). [para(1009(a,1),18135(a,1,1,2)),rewrite([5431(13),380(12),2867(9),2867(18),11662(19),11469(19),3024(17)])]. 157531 K(x,y \ (z \ (u * w))) = K(x,(y \ (z \ u)) * w). [para(5823(a,2),1010(a,1,2)),rewrite([5823(6),5326(4),157008(4)]),flip(a)]. 157636 T(x,K(y,z) * (u \ T(w,T(v5,v6)))) = T(x,K(y,z) * (u \ T(w,v5))). [para(761(a,1),1011(a,1,2,2)),rewrite([4830(6),10426(6),63682(5),157131(15),28082(15),157212(13),29(10)]),flip(a)]. 157754 (a(x,y,z) \ K(u,w)) * v5 = K(u,w) * (a(x,y,z) \ v5). [para(1013(a,1),3277(a,1,1)),rewrite([8176(7),299(7),1488(10)]),flip(a)]. 157833 K(x,y \ z) * (y * u) = y * (K(x,z / y) * u). [para(503(a,1),1014(a,1,1,2))]. 157946 (x \ y) * (K(z,T(y,x)) * u) = K(z,y) * ((x \ y) * u). [para(2551(a,1),1014(a,1,1,2)),rewrite([75909(9),478(8)]),flip(a)]. 158518 K(x * (y \ (T(z,y / x) \ u)),w) = K(z \ (T(x \ y,x) \ u),w). [para(1591(a,1),1019(a,1,1,2,1)),rewrite([156026(7),75931(7)])]. 158623 K(x \ (T(y \ z,y) \ u),w) = K((x \ y) * (z \ u),w). [para(2022(a,1),1019(a,1,1,2,1)),rewrite([5791(8),7352(8),373(6),158518(6),113608(11),130404(11)])]. 158977 (x \ ((y / x) \ z)) * T(u,y \ z) = u * (x \ ((y / x) \ z)). [hyper(1832,a,1021,a(flip),b,26,a),rewrite([1105(7),682(7),155(6)])]. 159159 T(x,T(y,z * u) \ (T(u,z) \ w)) = T(x,T(u,z) \ (T(y,z) \ w)). [para(163(a,1),1023(a,1,2,1)),rewrite([923(6),12215(6),29889(7)])]. 159184 T(x,(y \ (z \ (u \ z))) * w) = T(x,y \ (T(u,z) \ w)). [para(4706(a,2),1023(a,1,2,1)),rewrite([1557(6),11300(6),157042(6),2260(5),10258(9)]),flip(a)]. 159697 K(x,T(y * (z \ (u \ w)),w * u)) = K(x,(u \ w) * (y / z)). [hyper(152,a,2187,a(flip),b,1035,a),rewrite([12942(4),9608(11),68087(11)]),flip(a)]. 159699 K(x / ((y \ z) * u),w) = K(x * (u \ (z \ y)),w). [hyper(152,a,1577,a(flip),b,1035,a),rewrite([5791(11),16107(11),5900(10),12820(10),29833(10),5206(8)])]. 159700 K(x * (y \ (z * u)),w) = K(x * ((y \ z) * u),w). [hyper(152,a,475,a(flip),b,1035,a),rewrite([6357(11),117864(11)]),flip(a)]. 159703 K(x * (y \ (z \ u)),T(w,z * (u * y))) = K(y \ ((u \ z) \ x),w). [hyper(152,a,183,a(flip),b,1035,a),rewrite([5791(4),159699(11)]),flip(a)]. 159746 K(((x \ y) \ z) * u,w) = K((y \ x) * (z * u),w). [back_rewrite(157193),rewrite([159700(7),157194(7)])]. 159816 K(x / T(y * z,z * (u * y)),w) = K(x / T(y * z,u),w). [para(556(a,1),1044(a,2,1,2)),rewrite([1611(5),26450(5),47892(11)])]. 159832 K(x / T(y * (z * K(u,y * z)),z),w) = K(x / T(z * y,u),w). [para(47065(a,2),1044(a,2,1,2)),rewrite([756(9),490(8),5292(10),147855(10),146357(10),87557(9),2155(7),763(4),4839(3),29449(6),1757(6),47065(9)]),flip(a)]. 159881 K(x,y \ (L(z,u,w) / v5)) = K(x,y \ (z / v5)). [para(31(a,1),1058(a,1,2,1)),rewrite([130471(5),1058(4)]),flip(a)]. 160059 K(x,y \ (z / (u \ w))) = K(x,(y \ z) * (w \ u)). [para(5804(a,2),1058(a,1,2,2)),rewrite([5804(5),12826(5),12666(5)]),flip(a)]. 160446 T(x,T(y,z * u) * (u \ T(z,w))) = T(x,(u \ T(z,w)) * y). [para(2310(a,1),1060(a,1,2,2)),rewrite([128401(6),1600(6),1105(9),679(10),12016(11),1542(11)])]. 160509 K(x,(y \ z) * (u \ T(w,z * (y * u)))) = K(x,w * (y \ (z / u))). [hyper(1465,a,1061,a,b,641,a),rewrite([45(9),1061(8),46(8),5902(8),5347(7),1298(8),1104(9),10364(4),56889(9),682(7),2122(6)])]. 160532 K(x,y * (T(z,u) / (w * u))) = K(x,y * (u \ (z / w))). [hyper(1465,a,1061,a(flip),b,641,a),rewrite([5206(5),45(9),46(9),5902(9),5347(8),1298(9),1104(10),10366(5),12666(5),56889(9),682(7),2122(6),160509(7)]),flip(a)]. 160566 K(x \ (a(y,z,u) / w),v5) = K(x \ (w \ 1),v5). [para(303(a,1),1061(a,1,1,1)),rewrite([25942(4),5791(4)]),flip(a)]. 160676 K(x \ (y / (z \ u)),w) = K((x \ y) * (u \ z),w). [para(5804(a,2),1061(a,1,1,2)),rewrite([5804(5),159699(5),12817(5)]),flip(a)]. 160918 K(x \ (y \ z),y * y) = K(y * (x \ z),y * y). [para(3265(a,1),1062(a,1,2)),rewrite([5325(6),373(4),142009(4),3415(8)])]. 161023 T(x,T(T(y \ 1,z) \ u,w)) = T(x,T(T(y,z) * u,w)). [hyper(1465,a,1069,a(flip),b,2966,a),rewrite([1104(7),259(7)]),flip(a)]. 161081 T(x,y \ (T(z \ 1,u) \ w)) = T(x,(y \ T(z,u)) * w). [para(1069(a,1),1954(a,1,2)),rewrite([9959(9),11057(8),161023(8),23103(6),12291(5),477(5)]),flip(a)]. 161150 K(x,T(T(y,z \ u) * w,v5)) = K(x,T(T(y,z * u) * w,v5)). [para(432(a,1),1073(a,1,2,1,1)),rewrite([1357(7),1073(7),432(9)]),flip(a)]. 161199 K(x,T(T(y,z) \ x,u)) = K(x,T(y \ x,u * z)). [hyper(507,a,18909,a,b,1074,a),rewrite([18909(4),2399(10),5343(10),19(7)])]. 161365 K(x / T(y * z,z * u),w) = K(x / T(z * y,u),w). [para(47065(a,2),1075(a,2,1,2)),rewrite([893(6),2309(6),156018(7),47065(10),159832(12)])]. 161414 K(x / T(y * z,u * z),w) = K(x / T(z * y,u),w). [back_rewrite(159816),rewrite([161365(6)])]. 161437 T(x,y \ (T(z,u) \ 1)) = T(x,y \ T(z \ 1,u)). [hyper(152,a,2086,a(flip),b,1076,a),rewrite([6114(10),4306(10)]),flip(a)]. 161527 T(x,y * (T(z,u) \ K(w,v5))) = T(x,y * T(z \ K(w,v5),u)). [para(1076(a,1),12014(a,1,1)),rewrite([12014(7),7131(5),682(11),11298(12),2141(9)])]. 161978 T(x,y \ (T(z \ u,u) \ w)) = T(x,y \ ((u / z) \ w)). [para(14795(a,1),1089(a,1,2,2,1)),rewrite([21(5),5243(8),157101(7),21(8),5544(10),22(8),31(7),5243(10)]),flip(a)]. 162020 T(T(x,y),z \ (T(x,u) \ w)) = T(T(x,y),z \ (x \ w)). [hyper(152,a,16167,a(flip),b,1090,a),flip(a)]. 162052 T(x,K(y,z) * (u \ ((y \ z) \ w))) = T(x,u \ ((z / y) \ w)). [para(981(a,2),1090(a,1,2,2)),rewrite([981(5),1523(7),14580(7),161978(11)])]. 162132 T(x,K(y,z) * (u \ (w \ (y \ v5)))) = T(x,u \ (w \ (T(y,z) \ v5))). [hyper(507,a,1007,a(flip),b,1091,a),rewrite([12164(11)]),flip(a)]. 162168 T(x,K(y,z) * ((u \ (y \ w)) * v5)) = T(x,(u \ (T(y,z) \ w)) * v5). [para(5804(a,1),1091(a,1,2,2,2)),rewrite([12612(3),5216(6),32(9),70268(11),5330(11)])]. 162206 T(x,y \ (T(z,u) \ T(u,w))) = T(x,K(w,u) * (y \ (u / z))). [para(200(a,1),1092(a,1,2,2)),rewrite([35402(6),12126(5),1557(11),157042(11)]),flip(a)]. 162246 T(x,K(y,z) * (u \ T(w \ z,w))) = T(x,u \ (T(z,y) / w)). [para(1699(a,1),1092(a,2,2,2)),rewrite([6743(4),115263(5),157636(7),10427(11)])]. 162264 T(x,K(y,z) * (u \ (z / w))) = T(x,u \ (T(z,y) / w)). [para(2195(a,2),1092(a,1,2,2,2)),rewrite([162246(6),10258(10),159184(10),162206(9)]),flip(a)]. 162304 T(x,y \ (T(z,u) \ T(u,w))) = T(x,y \ (T(u,w) / z)). [back_rewrite(162206),rewrite([162264(10)])]. 162514 (L(x,y,z) \ u) / T(u,x \ 1) = u \ (L(x,y,z) \ u). [para(1009(a,2),1114(a,1,2,2)),rewrite([20(4),1009(8),5254(6),20(10)])]. 162518 T(x,T(y,z) \ (T(u,z) \ w)) = T(x,(z \ (y \ (u \ z))) * w). [para(1114(a,2),1023(a,1,2,2)),rewrite([1114(6),157131(6),159184(6),157131(10)])]. 162533 T(x,T(y,z * u) \ (T(u,z) \ w)) = T(x,(z \ (u \ (y \ z))) * w). [back_rewrite(159159),rewrite([162518(11)])]. 162754 T(x,K(y,z)) \ (K(y,T(z,u)) * w) = K(y,T(z,u)) * (x \ w). [back_rewrite(100256),rewrite([45(6),46(6),45(6),9696(7)])]. 162778 K(x / T(y * (z * u),u),w) = K(x / (u * (y * z)),w). [para(3514(a,1),1124(a,1,1,2,1)),rewrite([298(4),26958(10)])]. 162781 K(x / ((y * z) * u),w) = K(x / (y * (z * u)),w). [para(3516(a,1),1124(a,1,1,2,1)),rewrite([161414(6),162778(5),141517(9)]),flip(a)]. 163237 T(x,T(y,z) \ (u \ K(z,u \ 1))) = T(x,T(y \ (u \ 1),z)). [para(2314(a,1),1138(a,1,2,1,2)),flip(a)]. 164227 (1 / x) * (y * T(z,x \ y)) = L(z,y,x) * ((1 / x) * y). [hyper(152,a,3277,a,b,5720,a),rewrite([7131(4),19(3),3277(5),919(9),3264(9)])]. 164295 L(x,y,z * y) * ((y \ z) * y) = (y \ z) * (y * T(x,T(z,y))). [para(14926(a,1),5720(a,1,2,2)),rewrite([8303(7)]),flip(a)]. 164464 T(x,y) * L(L(T(y,x),z,u),w,v5) = x * L(L(y,z,u),w,v5). [hyper(507,a,502,a(flip),b,7570,a),rewrite([298(6),298(5),298(7),298(6),202(6)]),flip(a)]. 164762 ((x \ y) \ 1) * (T(x \ y,y \ x) * z) = L(z,x \ y,x * y). [hyper(1467,a,4654,a(flip),b,3276,a),rewrite([927(15),883(13),81843(11)])]. 164777 T((x \ y) \ 1,y / x) = T((x \ y) \ 1,x \ y). [para(4654(a,1),503(a,1,1)),rewrite([1779(7),10298(7),503(5),59532(10)]),flip(a)]. 164886 T(x,T(y \ z,y * (z \ u)) \ w) = T(x,T(y \ z,u) \ w). [para(4654(a,1),1082(a,1,2,1,1)),rewrite([1081(6),11300(10),12893(8)]),flip(a)]. 164890 T(x \ y,y \ x) \ 1 = T((x \ y) \ 1,x \ y). [back_rewrite(59532),rewrite([164777(10)])]. 164906 T(1 / (1 / (x \ y)),z) * (y \ x) = (y \ x) * T(x \ y,z). [para(10357(a,1),4210(a,1,1,1))]. 165079 (a(x,x,y) \ 1) / (1 / x) = 1 / R(1 / x,x,y). [para(3140(a,1),3729(a,1,1)),rewrite([492(8),864(5),79304(6)])]. 165109 (x / (y * x)) \ K(y \ 1,y) = 1 / R(1 / y,y,x). [back_rewrite(79304),rewrite([165079(12)])]. 165923 K(x * (T(y,z) \ u),T(y,z)) = K(x * (u / y),T(y,z)). [para(5509(a,1),483(a,2,2)),rewrite([6112(10),6760(11),742(8),139778(11),108(7),19(7),2513(7),160676(7),373(4),22503(5),64050(16),20(13),5795(13),5791(13),12248(13),12820(12),373(7),10189(10),37028(9)])]. 165924 K(x * (y / T(z,u)),T(z,u * y)) = K(y * (z \ x),T(z,u)). [para(5509(a,1),487(a,1,2)),rewrite([64050(11),20(8),5795(8),35467(8),6112(16),6760(17),742(14),139778(17),108(13),19(13),5791(13),12248(13),12820(12),373(8)])]. 166100 K(x * y,z \ (u / y)) = K(y * x,y \ (z \ u)). [hyper(152,a,1025,a,b,4838,a),rewrite([1025(5),5911(8)]),flip(a)]. 166115 K(x * (y / z),T(z,u)) = K(x * (z \ y),T(z,u)). [para(60(a,1),4838(a,2,2)),rewrite([492(6),5206(5),165923(5),14052(11),165924(10)])]. 166267 K((x \ y) * z,T(x,u)) = K(y * (x \ z),T(x,u)). [back_rewrite(37028),rewrite([166115(8)])]. 166887 K(x \ ((y \ z) \ u),w) = K((x \ (z \ y)) * u,w). [hyper(1466,a,683,a,b,6381,a),rewrite([12750(4),683(7),6238(10),10366(8),2305(10),5330(6),1035(7),159703(7),12820(8),157027(8)])]. 167292 x * (y * K(z,x \ (y \ x))) = K(z,y \ 1) * (x * y). [para(1351(a,2),3087(a,1,1,2)),rewrite([305(4),6740(9),682(10)]),flip(a)]. 167604 x / (y * K(y \ z,u)) = (x / y) * K(u,z / y). [para(3439(a,1),4357(a,2,2)),rewrite([1105(4),12606(7)]),flip(a)]. 167623 K(x,T(y,z)) * K(z \ u,w) = T(K(x,y) * K(u / z,w),z). [para(3439(a,1),761(a,1,2,2)),rewrite([683(6),29(3),866(2)])]. 167807 x \ (K(x * y,z) * u) = K(y * x,z) * (x \ u). [para(4839(a,1),3869(a,2,1)),rewrite([1104(3),301(7),774(8)])]. 168697 T(x,(x \ y) * z) = T(x,y * (x \ z)). [hyper(1468,a,3361,a,b,2122,a(flip)),rewrite([12831(3),61729(6),16119(4),3007(3),174(4),12923(6)]),flip(a)]. 169223 (x / (x / y)) \ (T(y,z) \ x) = T(y,z) \ (x / y). [back_rewrite(100295),rewrite([749(4),16189(4)])]. 170150 T(x \ 1,x * y) \ (y / (x \ 1)) = (x \ 1) \ ((x \ 1) \ y). [para(2795(a,2),4139(a,1,1)),rewrite([67035(6),373(4),2795(5)])]. 170407 T(x,(y \ T(z \ u,z)) * w) = T(x,(y \ (T(z,u) \ u)) * w). [para(10893(a,1),1090(a,2,2,2,1)),rewrite([12820(10),20(8),1577(8),981(7),1523(9),980(7),14581(9),13614(8),162168(6),161081(12)]),flip(a)]. 170444 (R(x,y,z) * u) / R(x,y,z) = (x * u) / x. [hyper(507,a,25682,a,b,9955,a),rewrite([25682(6),21(8)])]. 171461 T(x * T(y,T(z,u)),K(z,y)) = K(y,T(z,u)) * (x * y). [para(68261(a,2),3079(a,1,1)),rewrite([866(2),1104(3),853(2),44(5),368(6),928(4),866(6),1105(7),853(6),763(8),174(7)]),flip(a)]. 172654 R(T(x,y),z,u) * R(T(x,y),z,u) = R(x,z,u) * R(T(T(x,y),y),z,u). [para(32(a,1),4044(a,1,1)),rewrite([32(4),32(8),32(9)])]. 173058 (x * (y / x)) * a(z,u,w) = x * ((a(z,u,w) * y) / x). [hyper(1465,a,291,a(flip),b,6383,a(flip)),rewrite([5330(4),168697(4),5282(4),12669(6),155641(5),244(2),10071(5)])]. 173123 x * (x * (y / T(x,y))) = y * T(x,x \ y). [para(180(a,1),6383(a,2,2,2)),rewrite([6743(3),202(3),3618(4),155641(4),244(2),174(3)]),flip(a)]. 173851 K(x,y * (L(z,u,w) / v5)) = K(x,y * (z / v5)). [hyper(1465,a,5868,a,b,5782,a(flip)),rewrite([5326(6),5321(6),5326(10),5321(10),301(10),928(8),29(9),5544(6),866(5),10190(5),16119(4),12942(7)]),flip(a)]. 174036 K(x,y \ ((z * u) / w)) = K(x,(y \ z) * (u / w)). [hyper(1466,a,683,a,b,5663,a),rewrite([157531(4),683(7),6238(10),2305(10),5330(6),1035(7),68087(7),159697(6),5911(8)]),flip(a)]. 174578 a(x \ y,x \ y,z) = a(x * y,x \ y,z). [para(4656(a,2),5970(a,1,1,2,1)),rewrite([164762(8),19(5),9237(4),2311(12),8301(8),20(6)]),flip(a)]. 174596 (x \ y) * T(x \ y,y \ x) = (x \ y) / ((x \ y) \ 1). [para(4656(a,1),856(a,1,1)),rewrite([7109(7),42027(7)]),flip(a)]. 174633 T(x \ T(y,y \ x),x / y) = T((x \ y) \ 1,y) \ 1. [para(1699(a,1),4656(a,1,2)),rewrite([1591(6),10870(10)])]. 174885 a(x \ y,y \ x,z) = a(y * x,y \ x,z). [back_rewrite(80654),rewrite([174578(6)])]. 174943 a(x \ y,(x \ y) \ 1,z) = a(y * x,y \ x,z). [back_rewrite(33518),rewrite([174885(8)])]. 175200 ((x * y) / x) \ K(z,y) = T(y,z) \ K(y,x). [hyper(1465,a,3234,a,b,7098,a),rewrite([3234(3),679(4),3014(4),32261(4)]),flip(a)]. 175685 L((x / (x / y)) \ z,y,y) = (K(y,y \ x) / y) * z. [hyper(1468,a,8011,a(flip),b,3275,a),rewrite([2978(6)]),flip(a)]. 176468 L((x * y) / x,z,u) * (y * w) = L(y,z,u) * (((x * y) / x) * w). [para(4886(a,1),513(a,1,1,1)),rewrite([11337(11),21(6),21(7),513(7)]),flip(a)]. 178655 L(x,x,a(y,z,u)) * a(y,z,u) = (1 / x) \ a(y,z,u). [hyper(507,a,5072,a(flip),b,9945,a),rewrite([5242(6),5242(10),306(11),27033(10)]),flip(a)]. 178667 T((x \ 1) * a(y,z,u),K(x,w)) = (x \ 1) * a(y,z,u). [para(979(a,2),9945(a,1,2)),rewrite([979(7),749(8),1742(8),19(6),749(6)])]. 179563 T(T(x,y) * z,z \ T(x \ 1,y)) = ((x * z) \ K(y,x)) \ 1. [hyper(1468,a,4432,a,b,22707,a(flip)),rewrite([67035(12),20(11),12820(10),373(4),45697(8),22715(13),470(7),57742(7),2191(8),10652(7),12923(14),20(13),161437(12)]),flip(a)]. 179652 R(x / (x \ 1),y,z) = x / (x \ 1). [hyper(1465,a,626,a,b,4432,a),rewrite([4044(10),7358(9),25001(9),1104(9),769(9),10075(8),749(7),1742(7),19(5),380(4),378(5),856(8),108754(8)])]. 179710 T(x,y) \ (((x * z) \ K(y,x)) \ 1) = x \ (((x * z) \ 1) \ 1). [hyper(507,a,22707,a(flip),b,4432,a),rewrite([12923(10),20(9),161437(8),179563(8),67035(18),20(17),12820(16),373(10),45697(14),22715(19),470(13),57742(13)])]. 179823 T(x,x \ 1) * (y * x) = x * (y * T(x,x \ 1)). [para(4432(a,1),2188(a,1,2)),flip(a)]. 179926 (x \ 1) \ (y * T(x,x \ 1)) = T(x \ 1,x) \ (y * x). [para(4432(a,1),2425(a,1,2))]. 179968 K(x,y) * (T(z,z \ 1) * u) = ((z \ K(y,x)) \ 1) * u. [para(4432(a,2),928(a,1,1)),rewrite([1773(6),60129(5)]),flip(a)]. 183275 L(x / y,z,u) * ((x / y) \ w) = L(y \ x,z,u) * ((y \ x) \ w). [hyper(1468,a,3610,a,b,944,a),rewrite([3610(7),68814(7),21(5)])]. 183280 K(x,T(y,z)) * (x \ (T(x,z) \ u)) = T(x * K(y,x),z) \ (x \ u). [hyper(1465,a,3610,a,b,67731,a),rewrite([3610(5),2951(6),5411(5)])]. 183352 (x / (x / y)) * ((y \ x) \ z) = y * ((x / y) \ z). [para(3610(a,2),3338(a,2,2)),rewrite([3610(10),68814(10),21(8)])]. 183430 K(x,y) * (x \ (T(z,K(x,y)) * u)) = x \ (z * (K(x,y) * u)). [para(943(a,1),3610(a,1,2)),flip(a)]. 183549 L(a(x,y,x) * z,u,w) \ v5 = a(x,y,x) \ (L(z,u,w) \ v5). [para(276(a,2),9746(a,2,2)),rewrite([38839(3),276(8)])]. 183578 R(a(x,y,x) * z,u,w) \ v5 = a(x,y,x) \ (R(z,u,w) \ v5). [para(4953(a,2),9746(a,1,1)),rewrite([300(3),38731(3)])]. 183600 T(a(x,y,x) * z,u) \ w = a(x,y,x) \ (T(z,u) \ w). [para(6267(a,1),9746(a,1,1)),rewrite([27237(4),300(7)])]. 183630 x / T(y,y \ (z \ (z \ x))) = (z * z) * (y \ ((z * z) \ x)). [hyper(1832,a,741,a,b,5873,a),rewrite([5252(4)])]. 183667 (1 / x) \ ((y * y) \ z) = ((y * y) / x) \ z. [hyper(507,a,5072,a,b,5873,a),rewrite([5072(6),3384(9)])]. 183709 ((x * x) \ a(y,z,u)) * w = a(y,z,u) * ((x * x) \ w). [hyper(1468,a,287,a,b,5873,a(flip)),rewrite([978(6),5876(8)]),flip(a)]. 183736 L(x,y,y) \ ((y * y) \ z) = (y * (y * x)) \ z. [para(3514(a,1),5873(a,1,1)),flip(a)]. 183759 a(x,y,z) \ ((u * u) \ w) = (u * u) \ (a(x,y,z) \ w). [para(280(a,2),5873(a,1,1)),rewrite([36515(4)]),flip(a)]. 183784 (x \ 1) \ ((x * x) \ y) = (1 / (1 / x)) \ y. [para(14782(a,1),5873(a,1,1)),rewrite([17329(3)]),flip(a)]. 183811 a(x * (y \ ((z * z) \ u)),w,v5) = a(x * (y \ u),w,v5). [para(5873(a,2),823(a,2,1,2)),rewrite([5645(3),7556(5),2537(5),5873(6)]),flip(a)]. 183814 a(x \ ((y * y) \ z),u,w) = a(x \ z,u,w). [para(5873(a,2),850(a,2,1)),rewrite([5645(3),7145(4),3279(4),5873(5)]),flip(a)]. 183818 L(x,y,z * (u \ ((w * w) \ v5))) = L(x,y,(u \ v5) * z). [para(5873(a,2),889(a,2,3,2)),rewrite([5645(3),10238(5),123888(5),5873(6)]),flip(a)]. 183833 R(x,y,(z * z) \ (u \ w)) = R(x,y,u \ ((z * z) \ w)). [para(5873(a,2),1859(a,2,3)),rewrite([5645(3),2006(4),5873(7)])]. 183853 L(x,y,z \ (u \ ((w * w) \ v5))) = L(x,y,z \ (u \ v5)). [para(5873(a,2),921(a,2,3,2)),rewrite([5645(3),2009(5),4847(5),5873(6)]),flip(a)]. 183988 T((x \ (x / y)) * K(z,y \ 1),z) = x \ (x / y). [hyper(1832,a,2667,a(flip),b,54,a),rewrite([1105(7),3182(7)])]. 184047 K(x \ 1,y) * (T(z \ (z / x),y) \ u) = (z \ (z / x)) \ u. [para(2667(a,1),2192(a,1,1))]. 184844 T(x,T(y \ (1 / z),u)) = T(x,T(y \ (z \ 1),u)). [para(2673(a,1),1138(a,1,2,1,2)),rewrite([134931(12),163237(12)])]. 187562 a((x \ (y * y)) \ z,u,w) = a(x \ z,u,w). [para(2797(a,1),900(a,1,1,1)),rewrite([5873(3),183814(4),4865(8)]),flip(a)]. 188382 K(x,T(y,z)) * (K(u,z) * w) = z * (K(x,y) * (T(z,u) \ w)). [para(2903(a,1),1014(a,1,2))]. 188425 x * (K(y,z) * (T(x,y) \ u)) = T(T(y,x),z) * (y \ u). [back_rewrite(67826),rewrite([188382(5)])]. 188538 T(x,y) \ (((T(x,y) * z) \ 1) \ 1) = x \ (((x * z) \ 1) \ 1). [para(2906(a,2),22707(a,2,2)),rewrite([1007(11),161437(11),22707(12),179563(8),179710(7),2906(14),741(14)]),flip(a)]. 189945 ((x * x) \ (y / T(z,u))) * z = ((x * x) \ y) * K(u,z). [hyper(507,a,5876,a,b,2917,a),rewrite([679(4),5645(8)]),flip(a)]. 190461 R(x,y,L((z \ u) \ u,w,v5)) = R(x,y,L(z,w,v5)). [para(276(a,2),3024(a,1,3,1)),rewrite([276(3),2867(3)])]. 190744 R((x / y) * K(z,u),y,y \ u) = (x * (y \ u)) / T(u,z). [para(5775(a,2),3025(a,1,1)),rewrite([770(5)])]. 190785 a(x,y,(z \ (T(u,w) \ v5)) * v6) = a(x,y,(z \ (u \ v5)) * v6). [para(3025(a,1),798(a,2,3,1,2)),rewrite([679(5),763(6),807(7),801(5),800(4),800(9)]),flip(a)]. 190820 K(x,y) * (z * K(u,z \ 1)) = K(x,y) / T(z \ 1,u). [para(2145(a,1),3025(a,1,1)),rewrite([682(6)])]. 191374 T((x / y) / y,K(x,z)) = (x / y) / y. [para(203(a,2),3027(a,1,2,2)),rewrite([203(5),478(5),330(5),749(4)])]. 192164 a(x * ((y * z) * z),u,w) = a(x * L(y,z,z),u,w). [para(3029(a,1),826(a,1,1,2)),rewrite([98327(4)]),flip(a)]. 192224 a(x,((y * z) * z) \ u,w) = a(x,((z * y) * z) \ u,w). [para(3029(a,1),935(a,2,2,1)),rewrite([155139(7),935(6)])]. 192469 T(x,y * (z \ (u / y))) = T(x,T(z \ u,y)). [para(3133(a,2),3030(a,2,2)),rewrite([5336(5),12126(5),3142(5),3133(8),5336(8),521(8)])]. 193104 T(x * y,K(z,x)) \ y = (y * x) \ T(y,T(x,z)). [hyper(1465,a,3036,a(flip),b,896,a),rewrite([1104(5),150805(5),749(3)])]. 193237 (T(x * y,K(z,y)) \ T(x,y)) * K(z,y) = (T(y,z) * x) \ x. [para(2189(a,1),3036(a,2,1)),rewrite([928(4),15538(4),749(3),90387(7),131748(7),1501(11)])]. 193328 (x * (y / (x * y))) \ (y / (x * y)) = x \ 1. [para(5069(a,1),3036(a,1,1)),rewrite([4473(4),43454(5)]),flip(a)]. 193347 a(x \ ((y * z) \ z),u,w) = a(x \ (z \ (y \ z)),u,w). [para(3036(a,1),842(a,1,1,2)),rewrite([9999(8)])]. 193351 ((x * y) \ T(x,T(y,z))) * K(z,y) = (x * y) \ T(K(z,y) * x,y). [para(10668(a,1),3036(a,2,1)),rewrite([763(4),3211(3),861(2),241(3),72560(5),749(8),679(11),193104(9)]),flip(a)]. 193363 T(x * y,K(z,u)) \ T(x,y) = T(y * x,K(z,u)) \ x. [para(11521(a,1),3036(a,1,1)),rewrite([335(8),763(10),9865(10)])]. 193416 T(x * y,K(x,z)) \ y = (y * x) \ T(y,T(x,z)). [para(3036(a,1),894(a,1,2)),rewrite([150805(5)])]. 193508 (x * y) \ T(K(z,y) * x,y) = (T(y,z) * x) \ x. [back_rewrite(193237),rewrite([749(3),193363(5),193416(4),193351(6)])]. 194152 (x \ (y \ x)) * R(T(x,y \ 1),z,u) = R(x,z,u) * (x \ (y \ x)). [para(3114(a,1),4953(a,1,2,1))]. 194441 T(x,T(y / z,u) \ w) = T(x,T(z / y,u) * w). [para(16788(a,1),3142(a,2,2)),rewrite([1441(7),3142(7),7131(6),167807(4),128325(6),9958(9)])]. 195772 a(x,L(y,z,u) * (z * u),w) = a(x,u * (z * y),w). [para(15932(a,1),3150(a,1,2,1)),rewrite([2327(5),2327(9),2327(8)])]. 195953 K(x * (y * z),z \ (y \ (x \ z))) = K(x * (y * z),y \ (x \ 1)). [para(27(a,1),3153(a,1,2,2)),rewrite([5430(7),1010(6),1010(6),1010(12)])]. 196037 a(x,y,z) \ K(z,u) = z \ L(T(z,u),y,x). [hyper(1466,a,3154,a,b,2112,a),rewrite([3154(2),305(4),1105(4),9373(4),31(5)])]. 196045 (x * T(y,z)) \ L(x * y,u,w) = a(w,u,x * y) \ K(z,y). [hyper(1465,a,3154,a,b,894,a),rewrite([3154(5),1104(6),9315(6)]),flip(a)]. 196063 (x * y) \ L(x * y,z,u) = a(u,z,x * y) \ 1. [hyper(507,a,894,a,b,3154,a),rewrite([196045(6),9772(6),4191(6),3154(8)]),flip(a)]. 196089 (x * x) * (a(y,z,x * x) \ u) = L(x * x,z,y) * u. [para(3154(a,2),4594(a,1,2,1)),rewrite([3154(5),196063(5),8199(6)])]. 196318 (x * (L(x,y,z) \ u)) \ K(x \ u,x) = (x * (u / L(x,y,z))) \ 1. [para(277(a,1),3155(a,1,1)),rewrite([5432(6),864(5)])]. 196747 L(x,y,(z * u) * u) = L(x,y,L(z,u,u)). [para(3516(a,1),3261(a,1,3)),rewrite([2535(5)])]. 197283 a(((x * y) * x) * y,z,u) = a(x * y,x,a(y,z,u)). [para(25(a,1),3279(a,1,1)),rewrite([8982(3)]),flip(a)]. 197327 a(x,y,L(L(z,u * w,u * w),w,u)) = a((u * w) * (u * (w * x)),y,z). [para(5840(a,1),3279(a,1,1)),rewrite([8870(5),8870(5)])]. 198100 a(x,y,x) * (1 / z) = a(x,y,x) / z. [hyper(1465,a,3384,a(flip),b,2388,a(flip)),rewrite([115561(5),21(6)]),flip(a)]. 198170 (x * x) * (((1 / y) * z) * u) = (((x * x) / y) * z) * u. [para(3384(a,1),14822(a,1,1,1)),rewrite([881(10),101789(11),1848(8),626(8)]),flip(a)]. 198199 ((x * x) / y) \ (z * (x * x)) = (1 / y) \ T(z,x * x). [para(3384(a,1),5827(a,2,1)),rewrite([497(9)]),flip(a)]. 198212 T(x,K(y,z)) \ (u * u) = T(x \ (u * u),K(y,z)). [para(3384(a,2),15603(a,1,1)),rewrite([2980(5),19114(6),3384(4),5781(5),16000(5)]),flip(a)]. 198733 L(x,y,(z * (u \ z)) * u) = L(x,y,a(z,u * z,u)). [para(83321(a,1),3389(a,1,3)),rewrite([10673(3),379(4),98229(7)]),flip(a)]. 198966 (x * ((y * z) / y)) * T(z,y) = (x * z) * z. [hyper(1468,a,3391,a(flip),b,3748,a),rewrite([1860(4),1848(3),21(2),3516(3)]),flip(a)]. 199190 (x * x) * (y * ((x * x) \ 1)) = T(y,x \ (x \ 1)). [hyper(1344,a,3393,a),rewrite([1007(4)]),flip(a)]. 199221 K(x * (x * y),x \ (x \ 1)) = K(y,x \ (x \ 1)). [para(3393(a,1),1461(a,1,2,2)),rewrite([14(6),199190(6),54(5),5873(9),10761(10),6357(10),195953(10)]),flip(a)]. 199294 K(x * (y * y),y \ (y \ 1)) = K(x,y \ (y \ 1)). [para(3393(a,2),14947(a,1,2)),rewrite([3393(5),1010(6),1455(11),1010(12),6357(12),199221(12)])]. 199383 ((x * T(x,y)) \ 1) * z = (x * T(x,y)) \ z. [hyper(1465,a,3395,a,b,896,a),rewrite([4044(4),1104(8),151122(8),856(7)])]. 199527 (a(x,y,z) \ (a(x,y,z) \ 1)) * u = a(x,y,z) \ (a(x,y,z) \ u). [para(280(a,1),3395(a,1,1,1)),rewrite([8910(5),13109(10)])]. 199625 R(x,y,z * ((u * u) \ 1)) = R(x,y,(u * u) \ z). [para(3395(a,1),1846(a,1,3)),flip(a)]. 199740 a(x,x \ (y * y),L(z,u,u)) = a(x,x \ (y * y),z). [hyper(152,a,9241,a(flip),b,3397,a),rewrite([174578(5),3380(5)]),flip(a)]. 199761 a(x,y,a(x * y,z,u)) = a(u,z,a(x,y,y)). [para(25(a,1),3397(a,1,1)),rewrite([8982(3),2559(7),9752(6)])]. 199993 a(x * (y * (z \ (u * u))),w,v5) = a((y * z) * x,w,v5). [para(3398(a,1),827(a,1,1,2,2)),rewrite([3400(5),3281(10)]),flip(a)]. 200373 L(x,y,x) \ K(z,u) = R(x \ K(z,u),y,x). [hyper(507,a,1839,a(flip),b,3426,a),rewrite([923(4),20(3),890(8),924(8),20(7)]),flip(a)]. 200805 (1 / x) \ (L(y,x,x) * z) = x \ ((x * (x * y)) * z). [hyper(1465,a,7237,a,b,3507,a),rewrite([497(5)]),flip(a)]. 200845 (x * x) * (K(y,z) * u) = x * ((K(z,y) / x) \ u). [hyper(507,a,763,a,b,3507,a),rewrite([682(3),756(4),1485(9)])]. 201078 a(x,y,z * (u * ((K(w,v5) / u) \ v6))) = a(x,y,z * ((u * u) * v6)). [para(3507(a,2),792(a,1,3,2)),rewrite([1485(5)])]. 201084 L(x,((y \ 1) \ z) * y,u) = L(x,(y * y) * z,u). [para(3507(a,1),875(a,1,2)),rewrite([902(8)]),flip(a)]. 201107 R(x,y,((1 / z) \ u) * z) = R(x,y,(z * z) * u). [para(3507(a,1),1846(a,1,3)),flip(a)]. 201133 a(x,(y * ((y \ 1) \ z)) \ u,w) = a(x,z \ ((y * y) \ u),w). [para(3507(a,2),935(a,1,2,1)),rewrite([1485(5),3973(6),12653(6),5873(9)])]. 201164 (x * x) * ((y / x) / T(x,x * y)) = ((1 / x) \ y) / x. [para(3507(a,1),3028(a,1,1,1)),rewrite([5724(3),5328(7),373(5),5724(6)])]. 201355 (1 / x) / (y \ x) = (x * x) \ y. [hyper(152,a,1457,a,b,3508,a),rewrite([919(9),3264(9),5823(7),20(4)])]. 201542 R(x,y,(z \ u) * (z \ 1)) = R(x,y,(z * z) \ u). [para(3508(a,1),1846(a,1,3)),rewrite([1845(8)]),flip(a)]. 201547 a(x,(y \ z) * (y \ 1),u) = a(x,(y * y) \ z,u). [para(3508(a,1),2333(a,1,2)),rewrite([2330(8)]),flip(a)]. 201664 (x * y) * R(x,x,y) = ((1 / x) \ y) * x. [para(3511(a,1),1582(a,1,2,1)),rewrite([7352(6),373(4),682(5),6158(5),1496(4),3511(6)])]. 201701 a(x * (y * ((1 / z) \ u)),w,v5) = a(((z \ u) * y) * x,w,v5). [para(3511(a,1),827(a,2,1,2,2)),rewrite([5724(3),98305(6),9995(4)]),flip(a)]. 201703 a((x \ ((1 / y) \ z)) * u,w,v5) = a((x \ (y \ z)) * u,w,v5). [para(3511(a,1),835(a,2,1,1,2)),rewrite([5724(3),3159(6),98497(6)]),flip(a)]. 201715 R(x,y,(z * z) * (z \ u)) = R(x,y,(z \ 1) \ u). [para(3511(a,1),1859(a,2,3)),rewrite([5724(3),1845(4),10399(8)])]. 201863 (x \ 1) / (y \ x) = (x \ 1) * (x \ y). [para(391(a,1),3512(a,1,2,2)),rewrite([24993(9),5846(8)])]. 202107 a(x,y * ((y \ 1) \ z),u) = a(x,(y * y) * z,u). [para(3513(a,1),935(a,2,2,1)),rewrite([2143(6),938(7),5515(6),1104(6),52423(7),5728(9),373(9)])]. 202246 a(x \ y,z,x \ y) = a(y * x,z,x \ y). [para(492(a,1),4701(a,1,1,2)),rewrite([813(3),10265(3),813(6),850(6)]),flip(a)]. 202901 L(x / y,z,a(y,y,x)) = x / y. [hyper(1466,a,5077,a,b,7058,a),rewrite([816(11),10179(10),851(10),8326(9),823(9),12749(9),391(6),5313(7),6919(8),1105(10),677(10),682(8),3182(7),183988(7),22(3)])]. 203185 x / R(1 / x,y,z) = x * (a(x,y,z) \ x). [hyper(1468,a,1828,a(flip),b,5193,a),rewrite([3040(7),3599(7),13578(4),4930(3)]),flip(a)]. 203261 (x * T(x,y)) \ (x / z) = (K(y,x) / x) / z. [hyper(1465,a,5193,a(flip),b,894,a),rewrite([1104(5),132675(5)]),flip(a)]. 203343 (x * x) * ((((1 / x) / y) * z) * u) = ((x / y) * z) * u. [para(5193(a,1),5726(a,1,2,1,1))]. 203364 (x / y) \ ((x * x) * z) = ((1 / x) / y) \ z. [para(5193(a,1),5823(a,1,1,1)),rewrite([5193(7),497(9)]),flip(a)]. 203448 L(x,y \ (z \ K(u,z)),w) = L(x,y \ (z \ 1),w). [para(5193(a,1),895(a,2,2)),rewrite([203261(4),881(4),2008(4),881(8),2008(8)])]. 203452 L(x,(y * y) \ (z \ y),u) = L(x,z \ (y \ 1),u). [para(5193(a,1),905(a,2,2)),rewrite([5728(3),29(3),2008(5),5788(5),881(8),2008(8)])]. 203463 1 / T((1 / x) / y,y * x) = ((1 / x) / y) \ 1. [para(5193(a,1),4654(a,1,2,1)),rewrite([5330(8),492(6),5193(10)])]. 203892 a(x * y,x,a(y,z,u)) = a(y,z,a(u,x,x)). [hyper(507,a,13508,a,b,197283,a),rewrite([8871(4),10455(4),299(4),27655(4),197283(6)]),flip(a)]. 203897 a(x,y,a(z,u,u * z)) = a(z,y,a(x,u,u)). [hyper(507,a,8569,a,b,197283,a),rewrite([8871(3),13203(4),197283(7),203892(6)])]. 203904 a(x * (y * (x \ y)),z,u) = a(y,x \ y,a(x,z,u)). [hyper(507,a,2312,a(flip),b,197283,a),rewrite([5616(7),97860(8)]),flip(a)]. 203951 a(x,y,a(z,x \ u,x \ u)) = a(u,x \ u,a(x,y,z)). [para(1582(a,2),197283(a,1,1,1,1)),rewrite([1582(3),5616(4),97860(5),203904(4),203892(8)]),flip(a)]. 204457 T(x,y) * (K(z,T(u,y)) * w) = T(x * K(z,u),y) * w. [para(24(a,1),30303(a,1,1,1,2,1)),rewrite([474(8)]),flip(a)]. 206097 K(x,T((y \ z) / u,w)) = K(x,T(y \ (z / u),w)). [para(5509(a,1),166100(a,2,1)),rewrite([6112(5),853(8),6357(8),742(3),1562(8),20(2),380(1),20(2),853(12),15456(12),20(7),853(9),5795(9),12662(9)]),flip(a)]. 206275 T(x,T(y \ z,y * u) \ w) = T(x,T(y / z,u) * w). [para(14936(a,1),454(a,2,2,1)),rewrite([853(4),5795(4),16771(4),3353(3),53991(7),153(4,R),22(2),194441(4),11300(9)]),flip(a)]. 206366 T(x,T(y \ z,u) \ w) = T(x,T(z \ y,u) * w). [back_rewrite(164886),rewrite([206275(6),1600(5),12314(5)]),flip(a)]. 206965 T(x,(y \ z) * (u * (z \ w))) = T(x,(y \ T(u,z)) * w). [para(20240(a,1),590(a,2,2,1)),rewrite([15451(7),9949(9),29843(8),11494(4),774(4),11897(5),1544(5),12923(9),5248(9),10121(9)]),flip(a)]. 207358 (T(x,y) * z) \ (x * T(x,y)) = (x * z) \ (x * x). [hyper(152,a,27,a,b,18387,a),rewrite([22(3)]),flip(a)]. 207450 (x * (T(x,y) * z)) \ (x * T(x,y)) = L(z,x,x) \ 1. [para(247(a,1),18387(a,2,1)),rewrite([153123(4)]),flip(a)]. 207487 L(x,y,z \ x) = L(x,y,x * z). [para(18387(a,1),8893(a,1,3)),rewrite([207358(5),3501(4)]),flip(a)]. 207500 a(x * (y * L(z \ u,z,u)),w,v5) = a((y * (u * z)) * x,w,v5). [para(18387(a,2),827(a,2,1,2,2)),rewrite([827(8),207358(5),199993(6)]),flip(a)]. 207519 a(L(x \ y,x,y) \ z,u,w) = a((y * x) \ z,u,w). [para(18387(a,2),900(a,2,1,1)),rewrite([900(7),207358(5),187562(5)]),flip(a)]. 209685 a(x * y,z,(y \ 1) \ x) = a(y \ x,z,y * x). [para(18426(a,1),2743(a,1,3)),rewrite([785(9),492(7),900(5),4738(5),910(10),900(10),202246(10),4735(10)]),flip(a)]. 210180 K(x,T(T(y,z * u) * (u / z),w)) = K(x,T(u * (z \ y),w)). [para(26198(a,1),10190(a,1,2,1)),rewrite([1565(8),5781(8),682(7),3351(6),602(9),11645(7),10192(5),5343(4),161150(10)]),flip(a)]. 210182 K(x,T((y \ z) * u,w * y)) = K(x,T(z * (u / y),w)). [para(26198(a,1),10190(a,2,2,1)),rewrite([60801(8),161150(8),210180(8),53586(6),749(9),5781(10),356(11)])]. 210871 x / T(T(y,z),y \ (y \ x)) = (T(y,z) \ (x / T(y,z))) * T(y,z). [hyper(507,a,3025,a(flip),b,31359,a),rewrite([6975(5),162020(5)])]. 210981 ((R(x,y,z) * u) \ w) * (R(x,y,z) * u) = ((x * u) \ w) * (x * u). [para(26164(a,2),31359(a,1,1,1)),rewrite([26164(4),31390(10),367(14),5293(12),5791(11),58816(11),9691(11)])]. 211089 (x \ y) * (K(x,K(z,u)) * w) = (T(x,K(z,u)) \ y) * w. [hyper(1467,a,28497,a(flip),b,6224,a),rewrite([367(4),154768(7),44(3),46(3),45(3)])]. 211847 R(x,L(y \ 1,z,u),L(y,z,u)) = R(x,y \ 1,y). [para(40314(a,1),18135(a,1,1,2)),rewrite([5431(12),44(11),5902(11),19(9),46(9),493(9),2867(9),157371(10),2867(11),190461(12),11662(8)]),flip(a)]. 214571 L(x,(y * z) * (u * u),w) = L(x,z * ((u * u) * y),w). [para(37646(a,1),875(a,1,2)),rewrite([5785(5),12045(9)])]. 214905 a(x,y * ((z \ u) * z),w) = a(x,y * u,w). [para(14699(a,1),2311(a,1,2,1)),rewrite([1104(4),52423(5)]),flip(a)]. 215507 L(x,L((y \ z) \ z,u,w) * v5,v6) = L(x,L(y,u,w) * v5,v6). [para(31275(a,1),874(a,1,2)),rewrite([874(7),7677(10)])]. 215515 R(x,y * L((z \ u) \ u,w,v5),v6) = R(x,L(z,w,v5) * y,v6). [para(31275(a,2),1856(a,1,2)),rewrite([126422(5)]),flip(a)]. 215680 a(x,L(y,y,x),z) = a(x,y,z). [hyper(1832,a,66307,a(flip),b,9236,a),rewrite([13508(2)]),flip(a)]. 216155 (x \ y) * a(z,z,x) = L(x,z,z) \ y. [para(78742(a,1),5816(a,2,1)),rewrite([919(3),8303(3),9235(2),2535(2),8069(2),919(5),8303(5),9235(4),2535(4),8069(4),24(6),13269(5),8149(4),9230(4),24(5),6566(5)]),flip(a)]. 216414 L(x,y,a(z,u,a(y,y,w))) = x. [hyper(1832,a,80722,a(flip),b,9234,a),rewrite([5242(3),375(5)])]. 216419 a(x,y,a(z,u,a(w,y,y))) = 1. [para(9234(a,2),80722(a,1,3)),rewrite([5242(2),8947(3)])]. 216469 x * (a(y,x,a(z,u,x)) * w) = L(x,u,a(z,x,y)) * w. [hyper(1468,a,80729,a(flip),b,27,a),rewrite([9090(3),122813(7)]),flip(a)]. 216513 L(x,y,a(y,z,a(u,u,w))) = x. [hyper(1832,a,80868,a(flip),b,9234,a),rewrite([5242(3),375(5)])]. 216648 (x \ y) * a(x,z,a(u,w,z)) = L(x,z,a(z,w,u)) \ y. [hyper(152,a,3869,a(flip),b,81016,a),rewrite([9235(3),5242(2),13597(6),4936(7)]),flip(a)]. 216659 x * (y * a(x,z,a(z,u,w))) = L(x,z,a(z,u,w)) * y. [hyper(1468,a,81016,a(flip),b,285,a),rewrite([9238(3),5242(2),19078(7)]),flip(a)]. 216696 (x \ y) * a(x,z,a(u,u,w)) = L(x,z,a(w,u,u)) \ y. [hyper(152,a,3869,a(flip),b,81037,a),rewrite([9235(3),5242(2),13597(6),4936(7)]),flip(a)]. 216836 (x * y) * a(z,u,a(x,w,v5)) = x * (y * a(z,u,a(x,w,v5))). [hyper(1832,a,81235,a(flip),b,25,a),rewrite([375(6)])]. 216840 x * (y * a(z,x,a(x,u,w))) = L(x,u,a(w,x,z)) * y. [back_rewrite(122861),rewrite([216836(4)])]. 216845 a(x,y,a(z,z,a(u,x,w))) = 1. [hyper(152,a,13446,a,b,81521,a),rewrite([5242(3),3154(4),8947(4),8982(2)])]. 216859 L(x,y,a(z,x,a(u,u,w))) = x. [hyper(1832,a,81521,a(flip),b,9234,a),rewrite([5242(3),375(5)])]. 216908 R(x,x,(y \ 1) * z) = R(x,x,y \ z). [para(3515(a,1),81642(a,1,3)),rewrite([5876(3),3262(2),1844(4)])]. 216910 R(x,x,(y * y) \ z) = R(x,x,y \ (y \ z)). [para(5758(a,1),81642(a,1,3)),rewrite([1860(4),1860(7)])]. 218265 T(x,y * (z * T(u * (w \ v5),v5))) = T(x,y * (z * (v5 * (u / w)))). [para(5775(a,2),1204(a,1,2,2,2,2)),rewrite([5359(7)]),flip(a)]. 218650 K(x,y * ((T(z,u \ z) \ u) * w)) = K(x,y * (T(u \ z,z) \ w)). [para(981(a,2),1213(a,1,2,2,1)),rewrite([981(2),2123(5),11453(6)])]. 218690 K(x,y * (T(z \ u,u) \ w)) = K(x,y * (z * (u \ w))). [para(2195(a,1),1213(a,2,2,2,1)),rewrite([68814(5),21(3),11641(4),11453(10),12837(10)]),flip(a)]. 218716 K(x,y * ((z / u) * w)) = K(x,y * (z * (u \ w))). [para(10893(a,1),1213(a,2,2,2,1)),rewrite([12820(5),20(3),1577(3),981(2),10652(7),11453(7),1104(4),2310(4),218650(6),218690(5),13649(11),1811(9)]),flip(a)]. 218742 K(x,y * ((T(z,u \ z) \ u) * w)) = K(x,y * (u * (z \ w))). [back_rewrite(218650),rewrite([218690(11)])]. 220004 T(x,y \ (z / T(u,y))) = T(x,T(z / (u * y),y)). [hyper(1468,a,1253,a(flip),b,54,a),rewrite([155(5)]),flip(a)]. 220149 K(x,K(y,z) * (u / (w * (z / y)))) = K(x,u / (w * (z / T(y,z)))). [para(26198(a,2),1253(a,1,2,2,2)),rewrite([26198(5),1104(7),1286(8),682(10),3025(9),367(13)])]. 220237 K(x,y * (T(z \ u,z) / w)) = K(x,y * ((u / z) / w)). [para(1460(a,2),1261(a,1,2,2,1)),rewrite([1460(3),2004(5)]),flip(a)]. 220250 K(x,y * ((T(z,u \ z) / u) / w)) = K(x,y * (T(z / u,z) / w)). [para(1096(a,1),1261(a,1,2,2,1)),rewrite([129396(5)])]. 220418 K(x,y * ((T(z,u) / u) / w)) = K(x,y * ((u \ z) / w)). [para(10667(a,1),1263(a,1,2,2,1)),rewrite([220237(6),12933(10)])]. 221113 T(x,T(y \ ((z \ u) \ 1),w)) = T(x,T(y \ (u \ z),w)). [para(1698(a,1),1277(a,1,2)),rewrite([231(6,R),3360(6),11299(6),5557(15),18972(15),5292(14),12434(14),11299(15),140542(15),11057(14),184844(14),13600(14),9813(14),11057(12),12419(12),12331(11),10314(11),11299(10)])]. 223411 K(x,y * (z * (u \ (w \ K(v5,u))))) = K(x,y * (z / (w * T(u,v5)))). [para(2552(a,1),1333(a,1,2,2,2)),rewrite([927(8),94115(9),1863(9),218716(11),50501(11)]),flip(a)]. 224842 K(x,y / (z * T(u / w,u))) = K(x,y * (w / (z * T(u,w)))). [para(981(a,1),1372(a,1,2,1)),rewrite([1436(7),88955(7),5347(6),10366(6),11641(6),223411(6)]),flip(a)]. 224912 K(x,y / (z * (u / T(w,u)))) = K(x,y / (z * T(u / w,u))). [para(2546(a,1),1372(a,2,2,2,2)),rewrite([5556(3),1577(3),981(2),1436(7),980(2),2272(7),220149(6)])]. 224948 K(x,y * (z / (u * T(w,z)))) = K(x,y / (u * (z \ w))). [para(3145(a,1),1372(a,2,2,2,2)),rewrite([2550(4),1436(9),88955(9),5347(8),10366(8),11453(8),218742(8),223411(6)])]. 224966 K(x,K(y,z) * (u / (w * (z / y)))) = K(x,u / (w * T(z / y,z))). [back_rewrite(220149),rewrite([224912(11)])]. 224968 K(x,y / (z * T(u / w,u))) = K(x,y / (z * (w \ u))). [back_rewrite(224842),rewrite([224948(10)])]. 224972 K(x,K(y,z) * (u / (w * (z / y)))) = K(x,u / (w * (y \ z))). [back_rewrite(224966),rewrite([224968(11)])]. 224973 K(x,y / (z * (u / T(w,u)))) = K(x,y / (z * (w \ u))). [back_rewrite(224912),rewrite([224968(10)])]. 225276 T((x * y) \ x,y \ 1) = L(y \ 1,y,x). [para(379(a,1),5920(a,2,1))]. 225291 ((x * y) \ x) \ K(z,y \ 1) = L(T(y \ 1,z),y,x) \ 1. [para(5920(a,1),231(a,1,1)),rewrite([1010(11),372(9)]),flip(a)]. 225346 R(x,y \ (z \ y),(y \ (z \ y)) \ 1) = R(x,z \ 1,z). [para(5920(a,1),18135(a,1,1,2)),rewrite([1010(10),372(8),225291(11),14782(12),9364(11),126471(11),190461(10),1847(6),211847(5),12123(10),7914(10)]),flip(a)]. 225404 x * (L(y \ 1,y,z) * u) = x * (((z * y) \ z) * u). [para(5920(a,1),3493(a,1,2,1)),rewrite([1007(3),372(1),65091(9)])]. 225842 K(x,x \ y) * ((y / (y / x)) \ z) = (y / ((x * (y / x)) / x)) \ z. [para(8012(a,2),1593(a,2,2)),rewrite([866(4),1787(4),1830(4),29744(8),6356(7),3610(6),2973(7),68794(7),36737(5)]),flip(a)]. 226144 ((x * (y * x)) / x) \ z = (L(x,y,x) * y) \ z. [hyper(507,a,896,a(flip),b,3337,a),rewrite([4134(3)]),flip(a)]. 226276 K(x * y,x) * ((T(x,z) * y) \ u) = ((x * (T(x,z) * y)) / x) \ u. [para(247(a,2),3337(a,1,1,1)),rewrite([247(3),17001(8),980(7)]),flip(a)]. 226909 K(x,y / (z * (u / w))) = K(x,y * ((w / u) / z)). [para(26198(a,2),9952(a,1,2,1,1)),rewrite([26198(4),60801(9),29662(9),12040(7),11714(7),148919(7),210182(6),5355(5),360(10)]),flip(a)]. 226921 K(x,y / (z * (u \ w))) = K(x,y * ((w \ u) / z)). [back_rewrite(224973),rewrite([226909(5),220418(5)]),flip(a)]. 226956 K(x,K(y,z) * (u / (w * (z / y)))) = K(x,u * ((z \ y) / w)). [back_rewrite(224972),rewrite([226921(10)])]. 227236 T((x / y) / T(y,z),y) = T(y,T(z,x)) \ (x / y). [para(2191(a,1),3921(a,1,2,1)),rewrite([762(5),10075(5),63692(5),68261(5),853(7),5411(10),183280(11),137893(10)])]. 227543 T(x,T((y * z) \ u,w) * v5) = T(x,T(z \ (y \ u),w) * v5). [para(5758(a,2),10072(a,2,2,1)),rewrite([5791(5),10120(8),10072(8),5758(9)]),flip(a)]. 227569 T(x,T(R(y,z,u) \ w,v5) * v6) = T(x,T(y \ w,v5) * v6). [para(18056(a,2),10072(a,2,2,1)),rewrite([5207(5),9811(7),10072(6),18056(8)]),flip(a)]. 227574 T(x,T((y \ z) / u,w) * v5) = T(x,T(y \ (z / u),w) * v5). [para(1062(a,1),10072(a,1,2,2,2)),rewrite([5248(8),679(6),89329(8),9958(11)])]. 228292 x / T(y * K(z,z \ 1),u) = K(z \ 1,z) * (x / T(y,u)). [para(4260(a,1),3203(a,2,2)),rewrite([1863(5),11704(6),151415(8),3203(7)]),flip(a)]. 229822 x / T(a(y,z,y) * u,w) = a(y,z,y) \ (x / T(u,w)). [para(2388(a,1),9655(a,1,1,1)),rewrite([11024(4),5300(7),5301(5),183600(7),9655(6)]),flip(a)]. 230025 K(x,y) * (T(1 / z,u) \ 1) = K(x,y) / T(z \ 1,u). [hyper(1465,a,3209,a(flip),b,2133,a),rewrite([1104(7)])]. 230621 (x * y) / T(T(T(x,y),z),u) = x * (T(T(x,z),u) \ y). [hyper(1466,a,3366,a(flip),b,3026,a),rewrite([853(5),853(5),5795(5),1105(6),853(5),682(6),10309(5),3489(5)]),flip(a)]. 230698 (T(T(x,y),z) \ x) * u = x * (T(T(x,y),z) \ u). [para(3366(a,1),3203(a,1,1,1,2)),rewrite([1863(4),23(2),155(2),151621(4),230621(9)])]. 231374 L(K(x,y) / z,u,w) \ 1 = L(1 / z,u,w) \ K(y,x). [hyper(1466,a,2457,a,b,2141,a),rewrite([2457(5),10634(5),1105(7),2141(7)]),flip(a)]. 231412 K(x,y) / L(z \ 1,u,w) = 1 / L(z \ K(y,x),u,w). [hyper(1465,a,2457,a(flip),b,2133,a),rewrite([1104(7),130234(7)]),flip(a)]. 231431 T(L(x / y,z,u) \ x,y \ x) = L(y \ x,z,u) \ x. [para(2457(a,1),503(a,1,1)),rewrite([298(6)])]. 231481 x / L(R(y \ x,z,u),w,v5) = L(R(x / y,z,u),w,v5) \ x. [para(2457(a,1),468(a,1,1,1,2)),rewrite([391(4),34(3),34(7)]),flip(a)]. 231675 L(T(x / y,z),u,w) \ (y * T(y \ x,z)) = L(x / y,u,w) \ x. [para(4598(a,1),2455(a,1,2,1,2)),rewrite([1576(6),2839(7),2200(7),2834(5)]),flip(a)]. 231737 (L(x,y,z) \ 1) \ K(u,w) = L((x \ 1) \ K(u,w),y,z). [para(2455(a,1),2140(a,1,1)),rewrite([677(11),94692(10)])]. 231774 T(L(x \ y,z,u) \ (y / x),y / x) = L(x \ y,z,u) \ (y / x). [hyper(507,a,3145,a,b,11111,a),rewrite([5254(8),2185(6),1742(6),991(5),2315(6),16756(5),11111(10)])]. 231982 R(x,R(y / z,u,w) \ y,v5) = R(x,R(z \ y,u,w) \ y,v5). [para(7977(a,1),1848(a,1,2))]. 232124 K(x,y) / R(T(z,z \ 1),u,w) = K(x,y) * (R(z,u,w) \ 1). [hyper(1465,a,7793,a(flip),b,2133,a),rewrite([1104(5)]),flip(a)]. 232249 x \ ((1 / x) \ T(y,z)) = T(x \ ((1 / x) \ y),z). [hyper(1465,a,101789,a,b,5530,a),rewrite([101789(7)])]. 233244 T((x \ y) * y,x \ y) = (x / y) \ y. [hyper(1468,a,2677,a,b,3759,a),rewrite([6637(3),2677(6),158977(6),22(4)]),flip(a)]. 233914 (((x \ y) * x) * x) / y = T(y,x) / (y / x). [para(166(a,1),4145(a,2,1,2)),rewrite([492(2),11145(7)]),flip(a)]. 234324 x \ (T(y,K(z,u)) \ x) = T(x \ (y \ x),K(z,u)). [hyper(1465,a,17170,a,b,4154,a(flip)),rewrite([45(5),46(5),5902(5),19(3),46(3),45(3),211089(7),29687(7)])]. 234511 T(x,T(y,z * u) * (u \ w)) = T(x,(u \ T(y,z)) * w). [para(4154(a,1),1007(a,1,2,1)),rewrite([1007(6),206366(6),85499(6),1104(10),5330(12),12625(12),11897(12),11055(12),19(7),1544(10)])]. 234564 T(x,(y \ T(z,u)) * T(u,w)) = T(x,(y \ T(u,w)) * z). [back_rewrite(160446),rewrite([234511(6)])]. 235535 a(x,y,a(z,u,w)) * (v5 * a(x,y,w)) = v5 * a(x,y,L(w,u,z)). [para(296(a,1),5491(a,1,1,2,1)),rewrite([8871(4),42509(5),9897(5),21(8),8871(7)])]. 235543 (x \ (y * L(x,z,u))) * x = T(y,x) * L(x,z,u). [para(4884(a,2),5491(a,1,1,2,1)),rewrite([4884(5),5322(6),5716(5),13083(4),12669(7),861(6),17769(8)])]. 236777 (x * (y * z)) \ (x * (K(y,z) * u)) = L((z * y) \ u,y * z,x). [para(2469(a,1),3515(a,1,1)),flip(a)]. 237124 R(x,y,((z * u) \ w) * (u * z)) = R(x,y,w). [para(2469(a,1),2918(a,1,3,1)),rewrite([1839(8)])]. 237931 T((x \ y) * x,T(z,x)) = (x \ y) * (x * K(y,z)). [hyper(507,a,24631,a,b,3701,a),rewrite([5904(5),48508(5),22(8),67285(8)])]. 238184 T(x,T(y \ z,u * y) * w) = T(x,T(z / y,u) * w). [para(15505(a,2),1925(a,1,2,2,1)),rewrite([15505(7),204457(7),153(4,R),22(2),85447(9)]),flip(a)]. 239071 a(x,y,L(z,u * w,u)) * w = u * ((u \ w) * a(x,y,z)). [para(303(a,1),7779(a,1,2,2)),rewrite([8871(7),9200(7)]),flip(a)]. 239159 R(x,y,z * ((z \ a(u,w,u)) * v5)) = R(x,y,L(v5,z,z)). [para(7779(a,2),2381(a,1,3)),rewrite([300(4),7814(8),7957(9)])]. 239371 T(x,y) * ((1 / (1 / x)) \ z) = K(x,y) * (z * K(x,x \ 1)). [para(10547(a,1),3618(a,1,2)),rewrite([3816(14)])]. 239956 K(x,y) * (T(x,x * y) \ z) = L(x,y,x) \ z. [para(4126(a,1),8012(a,1,1,2)),rewrite([4129(4),174036(11),612(7),23(8),471(7),980(6),26573(8),174(6),853(6),1694(6),615(4),614(4)]),flip(a)]. 240767 T(x,y / T(z \ u,w)) = T(x,y * T(u \ z,w)). [para(11139(a,2),10065(a,2,2,2)),rewrite([12750(4),19(3),13607(8),5333(6),10065(6),11139(8),10425(10)]),flip(a)]. 241612 L(x,y,z \ a(u,w,u)) = L(x,y,z). [hyper(507,a,3264,a(flip),b,2386,a),rewrite([2367(5)]),flip(a)]. 242011 a(x,y,z) * ((1 / x) * u) = (1 / x) * (a(x,y,z) * u). [para(5307(a,1),5720(a,2,1)),rewrite([5282(6),502(5)])]. 242189 R(x,y,y) / (x / L(y,y,x)) = y * K(y \ x,y). [para(5425(a,1),166(a,1,2)),rewrite([5541(7)])]. 242333 a(L(x,x,y) \ y,z,u) = a(x * y,z,u). [para(5425(a,1),850(a,1,1)),rewrite([850(3),6687(6),7949(6)])]. 242378 (x / (y * y)) * y = R(x,y,y) / y. [para(5425(a,1),116527(a,1,2,2)),rewrite([4460(3),242189(7),3835(7),117239(4),95372(5),4925(4),5702(3),502(4)])]. 243171 x / T(y * T(x,z),y) = (x / y) / T(x,z). [hyper(1465,a,6375,a(flip),b,2034,a),rewrite([1104(6),129031(6)]),flip(a)]. 243357 a(x * (y * ((z * u) \ u)),w,v5) = a(x * (y * (u \ (u / z))),w,v5). [para(6375(a,1),827(a,1,1,2,2)),rewrite([827(5),100371(11)]),flip(a)]. 243410 a(x,(y * ((z * u) \ u)) \ w,v5) = a(x,(y * (u \ (u / z))) \ w,v5). [para(6375(a,1),938(a,1,2,1,2)),rewrite([938(5),154962(11)]),flip(a)]. 243578 (x * a(y,z,u)) * (u \ 1) = (x * (u \ 1)) * a(y,z,u). [hyper(1468,a,6499,a(flip),b,285,a)]. 243579 (a(x,y,z) * u) * (z \ 1) = (u * (z \ 1)) * a(x,y,z). [hyper(1468,a,6499,a(flip),b,284,a)]. 243830 x / T(y / x,y) = (x / y) * x. [hyper(1832,a,7093,a,b,xx)]. 243958 (x * (a(y,z,u) \ x)) \ x = a(y,z,u) / x. [hyper(152,a,300,a(flip),b,7093,a),rewrite([299(4),7631(5)]),flip(a)]. 244126 T((x \ y) / y,x \ y) = (x * y) \ y. [para(391(a,1),7093(a,2,1,1))]. 244299 (x * y) \ (z * ((z \ x) * y)) = a(z,z \ x,y) \ 1. [para(672(a,1),7093(a,2,1,1)),rewrite([6799(9),503(7),13113(11)])]. 244329 (x * (x * y)) \ (x * y) = R(T(1 / x,y),x,y). [para(3140(a,2),7093(a,1,1)),rewrite([32(4),23(6)]),flip(a)]. 244407 L(x,(y \ z) \ y,u) = L(x,(z \ y) * y,u). [para(7093(a,2),882(a,1,2,1)),rewrite([5788(4),903(3),6909(6)])]. 244448 L(x,y,(z \ u) \ z) = L(x,y,(u \ z) * z). [para(7093(a,2),922(a,1,3,1)),rewrite([5790(4),6051(3),1504(6)])]. 244465 a(x,(y \ z) \ y,u) = a(x,(z \ y) * y,u). [para(7093(a,2),2311(a,1,2,1)),rewrite([940(4),10142(3),2332(6)])]. 244475 (T(x,x \ y) / y) * x = x / T(x \ y,y). [para(7093(a,1),19785(a,1,2)),rewrite([662(3),869(2),2035(6),10503(5)])]. 244501 L(x,y \ z,a(z,y,y)) = x. [para(7093(a,2),93631(a,1,2)),rewrite([785(5),4963(6),7499(5),883(4),881(3)])]. 244653 K(x,y * (T(z / u,z) / w)) = K(x,y * ((u \ z) / w)). [para(7093(a,1),1372(a,2,2,2,2)),rewrite([981(2),1436(7),980(2),2272(7),226956(6),226921(10),29(7)]),flip(a)]. 244738 K(x,y * ((T(z,u \ z) / u) / w)) = K(x,y * ((u \ z) / w)). [back_rewrite(220250),rewrite([244653(11)])]. 244762 a(x \ (y \ x),y,z) = a(y,y,z). [hyper(1832,a,8040,a(flip),b,9236,a),rewrite([13508(2)]),flip(a)]. 244777 L(x,y \ z,z \ y) = L(x,y \ z,y * z). [para(492(a,1),8040(a,1,3,2)),rewrite([881(3),919(6),881(6),81843(6)])]. 244817 L(x,(y \ z) * z,(y \ z) * z) = L(x,(y \ z) * z,L(y,z,z)). [para(7093(a,2),8040(a,1,3,2)),rewrite([5786(6),921(5),9586(5),6909(4),1504(9),6909(9)]),flip(a)]. 244840 (x \ y) \ L(z,y \ x,y * x) = ((x \ y) \ 1) * z. [back_rewrite(114307),rewrite([244777(4)])]. 244855 L(x,(y \ z) \ 1,y \ z) = L(x,z \ y,z * y). [back_rewrite(9150),rewrite([244777(8)])]. 245039 a(x,y,y) * (z \ (y \ z)) = z \ (L(y,y,x) \ z). [hyper(1832,a,8184,a(flip),b,5940,a(flip)),rewrite([8050(3),3114(5),162514(6)]),flip(a)]. 245049 a(x,y,y) * ((z \ (y \ z)) * u) = (z \ (L(y,y,x) \ z)) * u. [hyper(1468,a,8184,a(flip),b,27,a),rewrite([245039(4)]),flip(a)]. 245172 (x \ y) * a(x * y,x,z) = R(x \ y,x,z). [hyper(1468,a,8301,a(flip),b,9234,a)]. 245243 x * R(x \ y,x,z) = y * a(x * y,x,z). [back_rewrite(121006),rewrite([245172(4)])]. 245332 a(x * y,z,x) * (x \ y) = R(x \ y,z,x). [hyper(1467,a,8326,a(flip),b,13446,a)]. 245337 a((x * y) * (x * z),u,x * y) = a(y \ z,u,(y \ 1) \ x). [para(3515(a,2),8326(a,1,1)),rewrite([8870(4),10957(4)]),flip(a)]. 245508 a((x \ y) * y,z,y) = a(x,z,y). [hyper(507,a,3279,a(flip),b,8653,a),rewrite([5728(4),5110(6)]),flip(a)]. 245524 a(x \ y,z,y) = a(y * x,z,y). [hyper(152,a,824,a(flip),b,8653,a),flip(a)]. 245691 a(x,x * y,L(z,y,y)) = a(x,x * y,z). [para(29(a,1),9285(a,1,1)),rewrite([851(3),13264(6)]),flip(a)]. 245758 a(x,x * y,L(z,x,y)) = a(x,x * y,z). [back_rewrite(72062),rewrite([245691(3)]),flip(a)]. 245897 x / R(y,z,y \ x) = L(x / y,z,y). [hyper(1466,a,2193,a(flip),b,9294,a),rewrite([1859(5),6238(6),770(5),3182(3),241(3),927(6)])]. 246150 L(x,y,z) \ (z * x) = R(T(z,x),y,x). [hyper(1465,a,3618,a(flip),b,9294,a),rewrite([927(3),154086(6),1481(6),1860(6)])]. 246176 L(x / y,z,y) \ x = R(y,z,y \ x). [hyper(1465,a,171,a(flip),b,9294,a),rewrite([231675(7),1860(6),1859(5)])]. 246294 R(x,y,z) \ (z * x) = L(T(z,x),y,x). [hyper(1348,a,9294,a),rewrite([12603(3),31(2)]),flip(a)]. 246349 L(x,y,z) * R(z \ 1,y,x) = x * (z \ 1). [hyper(507,a,4356,a,b,9294,a),rewrite([4356(4),3264(6)]),flip(a)]. 246688 x \ (a(y,z,u) \ 1) = x \ (u \ L(u,z,y)). [hyper(1465,a,9316,a,b,22,a)]. 246737 a(x,y,z) \ (a(x,y,z) \ 1) = z \ L(L(z,y,x),y,x). [para(9316(a,1),4139(a,2,2)),rewrite([741(5),296(5),299(4),6569(9),13527(8)])]. 246771 L(x \ L(x,x,y),x,z) = a(y,x,x) \ 1. [para(8149(a,1),9316(a,1,1)),rewrite([8675(7)]),flip(a)]. 246779 (x \ y) \ L(x \ y,z,u) = a(u,z,x \ y) \ 1. [para(813(a,1),9316(a,1,1)),rewrite([6355(8)]),flip(a)]. 246782 x \ (((y / (z * x)) * z) \ y) = a(x * (z \ y),z,x) \ 1. [para(82194(a,1),9316(a,2,2)),flip(a)]. 246789 a(x,y \ L(y,z,u),w) = a(x,a(u,z,y),w). [para(9316(a,1),818(a,2,2)),rewrite([299(3),97527(4),20(3)]),flip(a)]. 246803 R(x,y,a(z,u,w) \ 1) = L(x,y,a(z,u,w)). [para(9316(a,1),1859(a,2,3)),rewrite([299(3),13326(7)])]. 246818 a(x,y,z) \ (a(x,y,z) \ u) = L(L(z,y,x),y,x) * (z \ u). [back_rewrite(199527),rewrite([246737(5),8587(4)]),flip(a)]. 246827 (x / y) \ L(x / y,z,u) = a(u,z,y \ x) \ 1. [back_rewrite(6355),rewrite([246779(8)])]. 246834 (a(x,y,z) * a(x,y,z)) \ u = L(L(z,y,x),y,x) * (z \ u). [back_rewrite(13109),rewrite([246818(8)])]. 246838 x / (R(y,z,u) \ y) = a(y,z,u) * x. [hyper(1832,a,9339,a,b,492,a),rewrite([13110(7)])]. 246870 L(R(x,y,z),u,w) \ L(x,u,w) = L(a(x,y,z) \ 1,u,w). [para(34(a,1),9339(a,1,1)),rewrite([8870(6),8866(8)])]. 246871 R(R(x,y,z),u,w) \ R(x,u,w) = L(a(x,y,z) \ 1,u,w). [para(36(a,1),9339(a,1,1)),rewrite([13265(6),8866(8)])]. 246882 L(x,a(y,z,u),L(y,z,u)) = L(x,y,a(y,z,u)). [para(9339(a,1),5967(a,2,2)),rewrite([9469(4),5124(5),124097(5),2535(7),8380(7),20(5)]),flip(a)]. 246937 R(x * y,z,u) \ (x * y) = a(y * x,z,u) \ 1. [para(825(a,1),9339(a,2,1))]. 247032 L(x * y,a(y,y,x),z) = x * y. [hyper(1466,a,13713,a(flip),b,9341,a),rewrite([5238(3),391(5)])]. 247269 R(x,y,z) * (R(R(x,u,w),y,z) \ w) = L(w,u,L(x,y,z)). [para(36(a,1),9341(a,1,2,1)),rewrite([2535(7)])]. 248086 R(x,y,z) \ a(x,u,L(w,y,z)) = R(R(x,y,z) \ 1,u,w). [hyper(1465,a,9346,a,b,891,a(flip)),rewrite([891(6),4925(8),1104(6),769(8),12604(7),13265(9),52453(9)]),flip(a)]. 248109 (x \ K(y,z)) * a(x,u,w) = R(x \ K(y,z),u,w). [hyper(507,a,923,a(flip),b,9346,a),rewrite([52445(4),5002(4),923(8),20(7)])]. 248148 (x \ a(x,y,z)) * (y * z) = ((x \ 1) * y) * z. [hyper(1467,a,9346,a(flip),b,28,a)]. 248261 a(x,y,z) * K(x \ 1,u) = x * R(T(x \ 1,u),y,z). [para(9346(a,2),3856(a,1,2,1)),rewrite([32(4),5269(9)]),flip(a)]. 248327 (x \ a(x,y,z)) * (K(u,w) * v5) = R(x \ K(u,w),y,z) * v5. [para(9346(a,1),772(a,2,1)),rewrite([2141(4)]),flip(a)]. 248346 a(L(x \ K(y,z),u,w) * v5,v6,v7) = a(v5 * L(x,u,w),v6,v7). [para(9346(a,2),833(a,2,1,1)),rewrite([5002(4),248109(4),2532(5),2532(10),10134(10)])]. 248350 a(x \ a(x,y,z),u,w) = a(x,u,L(w,y,z)). [para(9346(a,2),847(a,2,1)),rewrite([303(2),13265(7),3266(7)])]. 248428 a(x,y,L(z,u,w)) / R(x,u,w) = R(1 / R(x,u,w),y,z). [para(9346(a,2),9955(a,1,1,2)),rewrite([5595(6),5115(4),11618(3),372(1),13265(6)]),flip(a)]. 248443 a(x,L(y \ 1,z,u) * y,w) = a(x,a(y,z,u),w). [para(9346(a,2),3150(a,1,2,1)),rewrite([5943(5)])]. 248498 R(x,y,z) * T(x \ 1,u) = x * R(T(x \ 1,u),y,z). [back_rewrite(43539),rewrite([248261(10)])]. 248544 K(x,y) * (a(z,u,w) / z) = R(K(x,y) / z,u,w). [hyper(1832,a,2052,a(flip),b,9347,a),rewrite([850(3),97664(3),94861(4)])]. 248612 R(1 / x,y,z) \ a(x,y,z) = x. [hyper(1466,a,9347,a,b,5072,a),rewrite([850(6),3266(6),375(7),389(7)])]. 248655 T(1 / x,y) * R(x,z,u) = x * R(T(x \ 1,y),z,u). [para(9347(a,1),171(a,2,2,1)),rewrite([13423(3),248498(10)])]. 248680 R(x \ 1,y,z) * x = (x \ 1) * R(x,y,z). [para(9347(a,1),1582(a,1,2,1)),rewrite([12609(5),248261(5),4953(5),9347(7)])]. 248689 L(R(x,y,z),u,w) * (x \ 1) = (1 / x) * L(R(x,y,z),u,w). [para(9347(a,1),512(a,1,2)),rewrite([13423(8)])]. 248860 R(1 / x,y,L(z,u,x)) = a(x,y,z) / x. [hyper(152,a,8825,a,b,9348,a),rewrite([919(5),3264(5)])]. 248923 L(1 / x,x,a(y,y,z)) = 1 / x. [para(9228(a,1),9348(a,2,1)),rewrite([5242(4)])]. 249196 (a(x,x,y) / z) \ 1 = a(x,x,y) \ z. [hyper(1832,a,14651,a,b,9349,a(flip)),rewrite([300(3),303(4),9576(8),9299(8),27664(7),9224(4),20(4),5261(4)])]. 249543 L(x,y,a(y,z,z \ x)) = x. [hyper(1466,a,9352,a,b,203,a),rewrite([813(4),1105(8),677(8),682(5),3025(4),863(3),22(2)])]. 250012 L(1 / x,y,z) \ 1 = x * a(z,y,x \ 1). [hyper(507,a,5072,a,b,9354,a),rewrite([813(3),5242(4),55892(4),813(3)]),flip(a)]. 250031 (x \ K(y,z)) * a(u,w,x) = L(x,w,u) \ K(y,z). [hyper(507,a,923,a(flip),b,9354,a),rewrite([815(4),6576(4),924(9),20(8)])]. 250037 a(x,y,z) / (1 / L(z,y,x)) = 1 / (1 / z). [hyper(1832,a,4248,a(flip),b,9354,a(flip)),rewrite([813(5),492(4)])]. 250137 (a(x,y,z) / z) \ K(z,z \ 1) = (z \ a(x,y,z)) \ 1. [para(9354(a,2),4717(a,1,2,2)),rewrite([5431(6)])]. 250150 ((x * x) \ y) * a(z,u,x * x) = L(x * x,u,z) \ y. [para(9354(a,2),5876(a,2,1)),rewrite([6566(5),149755(10)])]. 250154 L(x,y,z \ a(u,w,z)) = L(x,y,L(z,w,u)). [para(9354(a,1),3264(a,1,3))]. 250197 a(x,y,z) * K(z \ 1,u) = z * T(L(z,y,x) \ 1,u). [para(9354(a,2),3856(a,1,2,1)),rewrite([5269(9)]),flip(a)]. 250249 (x \ y) \ a(z,u,x \ y) = L(x \ y,u,z) \ 1. [para(813(a,2),9354(a,2,2)),rewrite([813(7)]),flip(a)]. 250382 (1 / (1 / x)) * a(y,z,x) = x * ((L(x,z,y) \ 1) * x). [para(9354(a,2),6248(a,2,2,1)),rewrite([90973(4)])]. 250397 (L(T(x,y),z,u) \ 1) * T(x,y) = (L(x,z,u) \ 1) * x. [para(9354(a,2),31359(a,1,1)),rewrite([814(8),814(9),5269(11),1586(11),250197(11),502(11)])]. 250657 (a(x,y,z) / z) \ K(u,w) = L(z * K(u,w),y,x). [para(9355(a,2),2140(a,1,1)),rewrite([677(7)])]. 250714 (x \ a(y,z,x)) \ 1 = L(T(x,x \ 1),z,y). [back_rewrite(250137),rewrite([250657(6),155(4)]),flip(a)]. 250879 x * (((y * x) \ y) * x) = L(x,x \ 1,y * x). [hyper(1468,a,5804,a(flip),b,9357,a(flip)),rewrite([6402(8),8541(8)])]. 250928 L(x * a(y,z,u),y,a(y,z,u)) = R(y,z,u) * (y \ x). [para(9357(a,1),5823(a,1,1,1)),rewrite([13482(3),2535(6),4175(6),9237(4),13268(5),2079(4),5124(7)])]. 251611 L(x,L(y,z,z),z * L(y,z,z)) = L(x,L(y,z,z),z * y). [para(3275(a,1),9359(a,1,3)),rewrite([889(9),7107(9)]),flip(a)]. 251617 L(x,y * z,L(y,y,z)) = L(x,y * z,y). [para(9359(a,2),9266(a,1,3)),rewrite([81725(3),5525(4)])]. 251626 a(x,y * z,L(y,y,z)) = a(x,y * z,y). [para(9359(a,2),13477(a,1,3)),rewrite([81725(3),13299(4)])]. 251648 (a(x,x,y) / x) * ((x * y) * z) = y * L(z,x * y,x). [back_rewrite(78899),rewrite([251617(8)])]. 251651 (x / (y * x)) * ((y * x) * z) = x * L(z,y * x,y). [back_rewrite(72070),rewrite([251617(8)])]. 252425 (x / y) * L(y,z,x) = a(x,z,y) \ x. [para(11775(a,1),9360(a,1,1,1)),rewrite([8193(4),9235(3),2535(3),8893(3)])]. 253235 (x / y) * R(y,z,x) = x * a(y,z,x). [para(13405(a,1),9361(a,1,1,1)),rewrite([81278(4)])]. 253282 L(x,y,a(z,u,w)) * a(w,y,a(z,u,x)) = x. [para(8892(a,1),9361(a,1,1,1)),rewrite([299(3),13597(3),10835(3),13307(5),8871(4),2079(4)])]. 253625 L(T(x / y,z),u,y \ x) = L(T(x / y,z),u,x * y). [hyper(1465,a,16800,a,b,9362,a),rewrite([1860(4),1859(3),16800(7),5135(8),6868(8),202246(3),5266(6),82455(5),31(4)]),flip(a)]. 253983 L(L(x,y,z) \ 1,L(x,y,z),L(z,y,x)) = (z * x) \ R(z,y,x). [para(9362(a,1),1351(a,2,1)),rewrite([2535(6)])]. 254103 L(T(x / y,z),a(u,w,v5),x * y) = T(x / y,z). [back_rewrite(113097),rewrite([253625(5)])]. 254128 L(L(x,y,z),y,z) * ((x \ u) * a(z,y,x)) = a(z,y,x) \ u. [hyper(507,a,286,a(flip),b,9463,a),rewrite([5876(6),246834(4),8586(6),6576(5),9463(13),8176(11)])]. 254211 L(x,(y \ z) * z,L(y,z,z)) = L(x,(y \ z) * z,y). [para(7093(a,2),9463(a,1,3,2)),rewrite([5787(6),889(5),22(4),6909(3),1504(8),6909(8),244817(8)]),flip(a)]. 254220 L(x,(y \ z) * z,(y \ z) * z) = L(x,(y \ z) * z,y). [back_rewrite(244817),rewrite([254211(9)])]. 254223 L(x,y * ((y \ K(z,u)) \ w),v5) = L(x,(y * y) * w,v5). [para(14885(a,2),12624(a,1,2)),rewrite([866(5),1785(5),1587(4),200845(4),11037(5)])]. 254303 (R(T(x,y),z,u) * w) / R(x,z,u) = (T(x,y) * w) / x. [para(12669(a,1),9955(a,1,1,2)),rewrite([12612(2),2188(3),32(5)]),flip(a)]. 254679 (x \ y) * (((z * x) \ (z * y)) \ z) = R(z,x,x \ y). [para(3515(a,1),13122(a,1,2,1))]. 254736 x * (L(x,y,z) \ L(z,u,x)) = L(R(z,y,x),u,x). [para(8893(a,1),13122(a,1,2,1)),rewrite([34(6)])]. 255190 L(x,a(y,z,L(u,w,v5)),a(y,z,u)) = x. [para(13434(a,1),284(a,1,1)),rewrite([8982(2),5237(6),13272(7),13718(7),29(6),300(3),5237(4),10231(6),8871(2)]),flip(a)]. 255273 L(x,y,x) * R(R(x \ 1,y,x),z,u) = a(x,z,u). [para(3426(a,1),13434(a,1,2,1)),rewrite([8870(8),8789(8)])]. 255429 (x \ (y \ z)) * (((y * x) \ z) \ 1) = a(y,x,x \ (y \ z)). [hyper(507,a,5973,a,b,13502,a),rewrite([5973(5),3869(8)]),flip(a)]. 255744 L(x,L(a(y,z,y) \ u,w,v5),v6) = L(x,L(u,w,v5),v6). [para(213(a,1),2369(a,1,2)),rewrite([10637(5),22(4),299(4)]),flip(a)]. 255837 K(x * (y * z),x * y) * K(x * y,z) = a(x * y,z,x * y). [hyper(1466,a,4828,a(flip),b,2626,a),rewrite([6357(6),4827(6),4828(8),1105(7),789(14),845(12)])]. 256499 a(x,y,x) \ ((T(x * y,x) / x) / z) = y / z. [para(2710(a,2),3517(a,2,1)),rewrite([5242(3),463(3),2360(7)]),flip(a)]. 258181 T(T(x,x * y),z) \ L(x,y,x) = T(T(x,y),z) \ x. [hyper(1465,a,3343,a(flip),b,2192,a),rewrite([853(3),1694(3),1104(4),853(2),12012(4),102713(4)]),flip(a)]. 258277 T(x,T(y,z)) * (T(T(x,z),y) \ u) = K(z,x) * u. [para(3343(a,1),912(a,2,1)),rewrite([853(3),1694(3),258181(7),230698(6),2299(7)])]. 266130 T((x * (1 / y)) \ T(x,y),x) = L(y,y \ 1,x). [hyper(507,a,3145,a,b,3867,a),rewrite([1007(8),372(6),492(7)])]. 266179 L(x,x \ 1,y) \ z = ((y * (1 / x)) \ y) \ z. [hyper(150,a,3867,a)]. 266209 a(x,y,z) * (1 / (1 / z)) = a(x,y,z) / (1 / z). [hyper(1832,a,6498,a(flip),b,3867,a(flip)),flip(a)]. 266608 x \ ((y * (1 / x)) \ y) = a(y,x \ 1,x) \ 1. [para(3867(a,1),9316(a,2,2)),flip(a)]. 268227 T(x,y \ (z \ ((y \ u) \ w))) = T(x,(y \ (z \ (u \ y))) * w). [para(237931(a,1),1023(a,1,2,1)),rewrite([893(7),12164(8),57577(8),162533(6),5252(11),1023(11)]),flip(a)]. 268529 L(x,y \ (T(x,z) \ u),y) = L(x,y \ (x \ u),y). [hyper(1466,a,7779,a,b,141151,a(flip)),rewrite([143040(10),241(8),125719(6),118624(6),2008(7)]),flip(a)]. 268533 (x \ (y / T(z,u))) * T(z,u) = (x \ (y / z)) * z. [hyper(1465,a,141151,a(flip),b,7779,a),rewrite([2008(4),268529(4),58881(5),21(5),143040(13),241(11)]),flip(a)]. 268594 x / T(T(y,z),y \ (y \ x)) = (T(y,z) \ (x / y)) * y. [back_rewrite(210871),rewrite([268533(11)])]. 269977 L(x \ T(T(y,z),u),x,y) = ((1 / T(T(y,z),u)) * x) \ 1. [para(18524(a,2),915(a,2,1,1)),rewrite([3264(8),927(6),927(5),18524(10)])]. 271275 1 / (x / (x * x)) = (x \ 1) * (x * x). [para(17314(a,1),31767(a,1,1,2)),rewrite([492(8),864(5),165109(6),46801(5),72934(5),17314(8)]),flip(a)]. 272455 T((x * y) * y,K(x,z)) = (x * y) * y. [hyper(507,a,3516,a(flip),b,35923,a),rewrite([3516(5),12612(6)]),flip(a)]. 273255 K(x,T(y * K(z \ u,w),v5)) = K(x,T(y * K(z * u,w),v5)). [para(183(a,1),23342(a,1,2,1,2)),rewrite([141642(10)])]. 273650 T((x / y) / T(y,z),y) = y \ (x / T(y,z)). [hyper(1466,a,3025,a(flip),b,53284,a),rewrite([6975(5),162020(5),268594(5),2799(7),749(7),12660(7),14596(7),749(6),3157(7),44(5),46(5),144172(6),6738(4),63692(5),68261(5)])]. 273771 x * (K(y,z) * K(K(y,z) * (u \ x),u)) = (u \ x) * (K(y,z) * u). [para(26098(a,1),53284(a,1,2,2)),rewrite([679(3),378(5),763(4),679(9),357(13),166267(11),475(11),22503(10),682(11)]),flip(a)]. 273854 T(x,T(y,z)) \ (z / x) = x \ (z / T(x,y)). [back_rewrite(227236),rewrite([273650(4)]),flip(a)]. 273868 T(x / (x / y),z) \ (y \ x) = y \ (x / T(y,z)). [back_rewrite(114738),rewrite([273854(9)])]. 275892 L(x,y \ (z \ 1),z \ y) = L(x,y \ (z \ 1),y \ z). [para(32396(a,1),8040(a,1,3,2)),rewrite([4679(8),5790(6),881(5),203448(5),919(12),12731(12),881(10),203448(10)])]. 275898 L(x,y \ (z \ 1),y \ z) = L(x,y \ (z \ 1),z * y). [para(32396(a,1),9463(a,1,3,2)),rewrite([4676(8),1503(6),881(5),203448(5),919(12),12731(12),881(10),203448(10)]),flip(a)]. 275909 L(x,y \ (z \ 1),z \ y) = L(x,y \ (z \ 1),z * y). [back_rewrite(275892),rewrite([275898(10)])]. 276213 T(x,y) \ (1 / x) = x \ (1 / T(x,y)). [para(32751(a,2),21901(a,1,1,1)),rewrite([32751(6),492(11),6633(9),1100(9),273868(8),492(8)]),flip(a)]. 276638 (((x \ y) \ y) \ z) * ((x \ y) \ y) = (T(x,y) \ z) * T(x,y). [para(10406(a,2),57199(a,1,1,1,1)),rewrite([10406(4),35014(5),35014(10),133074(10),3209(3),503(2),3209(6),503(5)])]. 277652 (x * y) \ (K(z,u) * ((x * x) * w)) = ((K(u,z) / x) * y) \ w. [para(33021(a,2),5643(a,1,1,1)),rewrite([3277(4),10784(5),2039(4),928(7),923(10)]),flip(a)]. 280245 a(x \ y,z,z \ x) * y = x * R(x \ y,z,z \ x). [hyper(1468,a,249543,a(flip),b,5940,a(flip)),rewrite([777(5),9235(5),1496(6),777(9)]),flip(a)]. 280614 a(x,y,a(z,y,a(u,w,w))) = 1. [para(25(a,2),82002(a,1,3)),rewrite([5644(7),14620(5),8871(2),27655(4)])]. 280848 x * (L(x,y,L(y,z,u)) \ w) = w * a(y,y,L(x,z,u)). [hyper(1468,a,150427,a(flip),b,5827,a(flip)),rewrite([300(6),12499(5),9419(3)])]. 281038 a(x,y,a(z,u,u)) * (u \ w) = L(u,y,a(z,u,x)) \ w. [hyper(152,a,3869,a(flip),b,216414,a),rewrite([10835(3),13597(6),125230(7)]),flip(a)]. 281304 (x \ y) * a(x,z,a(u,w,w)) = L(x,z,a(w,w,u)) \ y. [hyper(152,a,3869,a(flip),b,216513,a),rewrite([9235(3),5242(2),13597(6),4936(7)]),flip(a)]. 281375 L(x,y,a(z,z,a(u,x,w))) = x. [hyper(1832,a,216845,a(flip),b,9234,a),rewrite([5242(3),375(5)])]. 281604 x \ (a(y,x,a(z,z,u)) * w) = a(y,x,a(z,z,u)) * (x \ w). [hyper(1832,a,216859,a(flip),b,5940,a(flip)),rewrite([816(4),27551(6),816(8)])]. 281740 a(x,y,a(z,u,a(u,y,w))) = 1. [para(9237(a,2),280614(a,1,3)),rewrite([8871(2),27655(4)])]. 283825 T(x,(y \ ((z \ u) \ u)) * w) = T(x,(y \ T(z,u)) * w). [para(741(a,1),1443(a,1,2,1,2)),rewrite([1543(10)])]. 283832 T(x,(y \ T(z / u,u * z)) * w) = T(x,(y \ z) * (u \ w)). [para(1095(a,1),1443(a,1,2,1,2)),rewrite([5248(4)]),flip(a)]. 283854 T(x,(y \ T(z,T(u,w) * v5)) * v6) = T(x,(y \ T(z,u * v5)) * v6). [para(5931(a,2),1443(a,2,2,1,2,2)),rewrite([1007(4),1443(7),11587(4),1443(6),5931(9),5292(10),22(8)])]. 284335 (x * (T(y,z) * u)) \ (x * T(y,z)) = (x * (y * u)) \ (x * y). [para(1474(a,1),1351(a,2,1)),rewrite([5787(7),5816(6),20(5)]),flip(a)]. 284372 a(x,y,z \ (u * (T(w,v5) * v6))) = a(x,y,z \ (u * (w * v6))). [para(1474(a,1),779(a,1,3,2)),rewrite([95723(11),95582(10)])]. 284375 a(x * ((T(y,z) * u) * w),v5,v6) = a(x * (w * (y * u)),v5,v6). [para(1474(a,2),829(a,1,1,2)),rewrite([1474(4),1476(5)]),flip(a)]. 284387 L(x,y,(T(z,u) * w) * v5) = L(x,y,v5 * (z * w)). [para(1474(a,2),1506(a,1,3)),rewrite([1474(4),9635(4)]),flip(a)]. 284389 R(x,y * (T(z,u) * w),v5) = R(x,y * (z * w),v5). [para(1474(a,1),1856(a,1,2)),rewrite([1854(9),126370(8)])]. 284426 (x * (x * y)) \ (x * x) = L(y,x,x) \ 1. [back_rewrite(207450),rewrite([284335(6)])]. 284444 a(L(x * y,z * z,u) * u,w,v5) = a((x * y) * u,w,v5). [para(14(a,2),1475(a,2,1,2)),rewrite([4736(7),14(8),49930(10)])]. 284447 a(a(x,y,z) * (u * x),w,v5) = a(x * (a(x,y,z) * u),w,v5). [para(5220(a,1),1475(a,1,1,1)),flip(a)]. 284463 a(((((x * x) \ y) * z) * u) * w,v5,v6) = a(w * ((y * z) * u),v5,v6). [para(5726(a,1),1475(a,2,1,2)),rewrite([4736(10),284444(8)])]. 284500 a(((x * T(y,z)) \ u) * w,v5,v6) = a(w * ((x * y) \ u),v5,v6). [para(894(a,1),1475(a,2,1,2)),rewrite([302(5),64779(7)])]. 284558 L(x,y,z * (u * (T(w,v5) * v6))) = L(x,y,z * (u * (w * v6))). [hyper(1832,a,1476,a(flip),b,9237,a),rewrite([299(5),9236(5)]),flip(a)]. 284563 a(x * (y * ((z / u) * w)),v5,v6) = a(x * (y * ((u \ z) * w)),v5,v6). [para(503(a,1),1476(a,1,1,2,2,1)),flip(a)]. 284721 T(x,y) \ (L(x,z,u) \ w) = x \ (L(T(x,y),z,u) \ w). [hyper(1465,a,1481,a(flip),b,2191,a)]. 284772 (L(T(x,y),z,u) \ w) \ (K(y,x) * v5) = (L(x,z,u) \ w) \ v5. [para(1481(a,1),3869(a,2,1)),rewrite([1104(5),301(11)])]. 284783 (x * T(y,z)) * (L(T(y,z),u,w) \ v5) = (x * y) * (L(y,u,w) \ v5). [para(1481(a,1),757(a,1,2)),flip(a)]. 284789 a(x,y \ (L(T(z,u),w,v5) \ v6),v7) = a(x,y \ (L(z,w,v5) \ v6),v7). [para(1481(a,1),819(a,1,2,2)),flip(a)]. 284791 L(x,y,z * (L(T(u,w),v5,v6) \ v7)) = L(x,y,z * (L(u,v5,v6) \ v7)). [para(1481(a,1),888(a,1,3,2)),flip(a)]. 284855 a(x,y,z \ (L(u,w,u) \ v5)) = a(x,y,z \ (u \ v5)). [para(2073(a,1),1482(a,1,3,2,1)),rewrite([7383(5)]),flip(a)]. 284859 a(x,y,z * (L(u / w,v5,v6) \ v7)) = a(x,y,z * (L(w \ u,v5,v6) \ v7)). [para(5063(a,1),1483(a,1,3)),rewrite([10963(9),5063(14)])]. 284966 L(x,y * (L(T(z,u),w,v5) \ v6),v7) = L(x,(L(z,w,v5) \ v6) * y,v7). [para(1484(a,1),877(a,1,2,2)),rewrite([301(4),151592(10),152103(10)])]. 285078 (1 / x) \ L(K(y,z) * u,w,v5) = (K(z,y) / x) \ L(u,w,v5). [hyper(1466,a,1485,a,b,680,a(flip)),rewrite([676(7),62074(8),1105(10),682(10),48(9),20(8)])]. 285200 (K(x,y) / z) \ (T(y,x) \ u) = (1 / z) \ (y \ u). [para(2192(a,1),1485(a,1,2)),flip(a)]. 285216 L(x,y * ((z \ K(u,w)) \ v5),v6) = L(x,y * ((z \ 1) \ v5),v6). [para(1485(a,1),878(a,2,2,2)),rewrite([762(5),6555(7),6435(7),11037(5),11037(10)]),flip(a)]. 285227 R(x,y,(z \ K(u,w)) \ v5) = R(x,y,(z \ 1) \ v5). [para(1485(a,1),1859(a,2,3)),rewrite([762(5),1845(6),1839(6),10399(4),10399(8)]),flip(a)]. 285317 L(x,y \ 1,y \ z) = L(x,y \ 1,y * z). [para(1485(a,1),8303(a,1,3)),rewrite([6051(6),100044(6),881(4),928(11),6342(12),890(12),7107(10),881(8)])]. 285345 (K(x,y) / z) \ (L(T(y,x),u,w) \ v5) = (1 / z) \ (L(y,u,w) \ v5). [para(1481(a,1),1485(a,1,2)),flip(a)]. 285357 L(x,y * ((y \ 1) \ z),u) = L(x,(y * y) * z,u). [back_rewrite(254223),rewrite([285216(5)])]. 285362 R(T(x,y),x \ 1,x * z) * z = (T(x,y) \ 1) \ z. [back_rewrite(70912),rewrite([285227(7),11799(7)])]. 285393 a(x \ y,z,x * y) = a(x * y,z,x * y). [hyper(507,a,2717,a,b,1487,a),rewrite([67035(8),373(6),159746(6),373(2),12820(8),373(6),255837(7),1487(10),202246(10),4735(10),209685(8)]),flip(a)]. 285629 L(x,y,z) * (x \ K(u,w)) = a(z,y,x) \ K(u,w). [hyper(507,a,5716,a(flip),b,1488,a),rewrite([676(13),1491(12),5446(12),680(8),9373(8)])]. 285756 (x \ 1) * R(K(y,z) * u,w,v5) = (x \ K(y,z)) * R(u,w,v5). [para(769(a,1),1488(a,1,2))]. 285773 R(x,y,(z \ K(u,w)) * v5) = R(x,y,v5 * (z \ 1)). [para(1488(a,1),1846(a,1,3)),rewrite([928(9),1839(10)])]. 285774 R(x,y,z * (u \ K(w,v5))) = R(x,y,z * (u \ 1)). [para(1488(a,2),1846(a,1,3)),rewrite([1488(5),285773(4)]),flip(a)]. 286092 L(x,y,(z * (u \ K(w,v5))) * v6) = L(x,y,(z * u) * v6). [para(1489(a,1),888(a,1,3)),rewrite([6296(10)])]. 286100 L(x,y,z * (u * (w \ 1))) = L(x,y,(u * w) * z). [para(1489(a,1),1506(a,1,3)),rewrite([286092(5),928(9),890(10)]),flip(a)]. 286114 a(x,(y * (z \ K(u,w))) * v5,v6) = a(x,v5 * (y * (z \ 1)),v6). [para(1489(a,1),2333(a,1,2)),rewrite([928(11),52423(12)])]. 286115 a(x,y * (z * (u \ K(w,v5))),v6) = a(x,y * (z * (u \ 1)),v6). [para(1489(a,2),2333(a,1,2)),rewrite([1489(6),286114(5)]),flip(a)]. 286117 a(x,(y \ 1) * (y \ (K(z,u) * w)),v5) = a(x,w * (y \ (y \ 1)),v5). [para(1489(a,1),134744(a,1,2)),rewrite([5500(6),24993(12),5846(12),286115(14),24993(12),2330(12)])]. 286342 (x \ K(y,z)) \ L(x \ 1,u,w) = a(w,u,x \ 1) \ K(z,y). [hyper(1465,a,9357,a,b,1491,a),rewrite([1104(6),13578(6)]),flip(a)]. 286829 (x \ (y \ 1)) * (K(z,u) * w) = (x \ (y \ K(z,u))) * w. [hyper(1467,a,1493,a(flip),b,3749,a),rewrite([4677(8),302(6)]),flip(a)]. 287001 L(x,y \ (z \ K(u,w)),v5) = L(x,y \ (z \ 1),v5). [para(1493(a,1),872(a,1,2))]. 287002 L(x,y * (z \ (u \ K(w,v5))),v6) = L(x,y * (z \ (u \ 1)),v6). [para(1493(a,1),874(a,1,2,2))]. 287003 L(x,(y \ (z \ K(u,w))) * v5,v6) = L(x,v5 * (y \ (z \ 1)),v6). [para(1493(a,1),877(a,1,2,2)),rewrite([4677(5),302(3),287002(5),286829(11)]),flip(a)]. 287105 a(x * (y * (z \ (u \ K(w,v5)))),v6,v7) = a(x * (y * (z \ u)),v6,v7). [para(1493(a,1),1476(a,2,1,2,2)),rewrite([98044(9),826(7),5105(6)]),flip(a)]. 287201 (R(x,y,z) \ u) * K(w,x) = T(u / R(T(x,w),y,z),x). [hyper(1465,a,2917,a(flip),b,1496,a),rewrite([12609(3),679(4),32(6)])]. 287789 (T(x,y) \ z) * R(T(T(x,x \ z),y),u,w) = (z / x) * R(x,u,w). [hyper(152,a,7164,a,b,1498,a),rewrite([2426(5),11234(12)])]. 287799 x * a(y,y,y \ x) = (1 / y) \ (y \ x). [hyper(152,a,5072,a(flip),b,1498,a),rewrite([8539(8)]),flip(a)]. 287889 R(T(x,y),z,u) * (x \ y) = (R(x,z,u) * y) / x. [para(1498(a,1),4146(a,1,1,2)),rewrite([170444(7),10022(4),5550(8),22(6),32(5)]),flip(a)]. 288033 R(x,y,z) * (x \ (u * u)) = (u * u) * a(x,y,z). [para(2797(a,1),1498(a,2,1)),rewrite([5478(8),14(10),13434(9)])]. 288051 ((x * x) / y) * R(y,z,u) = (x * x) * a(y,z,u). [para(3384(a,2),1498(a,2,1)),rewrite([288033(4),3384(7)]),flip(a)]. 288319 K(x,T(y,z)) * ((z \ K(u,w)) \ v5) = (z \ K(u,w)) \ (K(x,y) * v5). [para(639(a,2),1500(a,1,1,2)),rewrite([639(3),1787(4),357(4)])]. 288324 (x \ y) \ (K(z,T(u,x)) * w) = (x \ (K(u,z) * y)) \ w. [para(1500(a,1),3869(a,2,1)),rewrite([1104(4),853(3),301(9)])]. 288346 a(x,y \ (z \ (K(u,w) * v5)),v6) = a(x,y \ (z \ v5),v6). [para(1500(a,1),819(a,1,2,2))]. 288464 x \ (K(y \ z,z \ y) * u) = K(y \ z,z \ y) * (x \ u). [para(32890(a,1),1500(a,2,2,1)),rewrite([32888(4)]),flip(a)]. 288631 ((x * y) \ z) * K(x \ 1,x) = (T(x,x \ 1) * y) \ z. [para(742(a,2),1501(a,1,2,1)),rewrite([742(4),4331(6)])]. 288758 L(x,y * ((T(z,u) * w) \ v5),v6) = L(x,y * ((z * w) \ v5),v6). [para(1501(a,1),878(a,2,2,2)),rewrite([762(4),6555(6),6435(6)]),flip(a)]. 288787 R(x,y,(T(z,u) * w) \ v5) = R(x,y,(z * w) \ v5). [para(1501(a,1),1859(a,2,3)),rewrite([762(4),1845(5),1839(5)]),flip(a)]. 289046 a(x * ((T(y,z) \ u) \ w),v5,v6) = a(((y \ u) \ w) * x,v5,v6). [para(3025(a,1),1502(a,2,1,1,1)),rewrite([774(5),100371(7),9613(4),2565(5),11812(10),152018(10)])]. 289091 L(x,y,(z \ ((u * u) * w)) * v5) = L(x,y,(z \ w) * v5). [para(19122(a,1),1503(a,1,3,1)),rewrite([14(9),9785(10),3158(10)])]. 289137 L(x,y,((z \ 1) * u) * w) = L(x,y,(u * z) * w). [para(14874(a,1),1504(a,1,3,1)),rewrite([6917(4),11364(4),3277(2),6295(5),5876(8),66749(10)])]. 289156 L(x,y,((z \ 1) \ u) * w) = L(x,y,(z \ u) * w). [para(3511(a,1),1504(a,2,3,1)),rewrite([5724(3),14(4),9785(5),3158(5),6913(8)]),flip(a)]. 289159 L(x,y,(L(z,z,u) \ u) * w) = L(x,y,(z \ L(u,z,z)) * w). [para(5425(a,1),1504(a,1,3,1)),rewrite([1504(4),6052(8)])]. 289160 L(x,y,((z * u) \ u) * w) = L(x,y,(u \ (z \ u)) * w). [para(6375(a,1),1504(a,1,3,1)),rewrite([1504(4),7497(4),6437(9)]),flip(a)]. 289244 K(x,T(y,z * u)) * ((u \ w) * v5) = (u \ (K(x,T(y,z)) * w)) * v5. [para(30(a,1),1505(a,1,1,2)),rewrite([5795(3)])]. 289247 K(x,K(y,z)) * ((u \ y) * w) = (u \ T(y,K(x,z))) * w. [para(158(a,1),1505(a,2,1,2)),rewrite([866(2),348(3)])]. 289321 a(x,y * (z \ (K(u,w) * v5)),v6) = a(x,(z \ v5) * y,v6). [para(1505(a,2),2333(a,1,2)),rewrite([1505(5),7375(5)]),flip(a)]. 289322 K(x,y) * (((z \ y) \ u) * w) = ((z \ T(y,x)) \ u) * w. [para(2551(a,1),1505(a,1,1,2)),rewrite([75909(10),478(9),288324(10),174(7)])]. 289373 a(x,y * (z \ (z \ 1)),u) = a(x,(z * z) \ y,u). [back_rewrite(286117),rewrite([289321(7),201547(5)]),flip(a)]. 289493 K(x,T(y \ (T(z,z * u) \ w),v5)) = K(x,T(y \ (T(z,u) \ w),v5)). [hyper(152,a,1702,a(flip),b,1514,a),rewrite([1702(12)])]. 290337 T(x,(y \ T(z,u * w)) * (w \ u)) = T(x,(y \ (w \ u)) * z). [para(14272(a,2),1538(a,1,2,2)),rewrite([1907(6),2262(5),10258(4),162304(11),12409(10)]),flip(a)]. 290519 T(x,(y \ T(z \ u,u)) * w) = T(x,(y \ T(z \ u,z)) * w). [para(2195(a,1),1541(a,2,2,1,2)),rewrite([1541(7),283825(11)]),flip(a)]. 290539 T(x,K(y,z) * (u \ ((w \ z) \ v5))) = T(x,(u \ (T(z,y) \ w)) * v5). [para(1541(a,1),2356(a,1,2,1)),rewrite([1863(9),7131(10),12164(10),234511(10),11897(9),3014(7),12684(9),1443(8),290337(8),923(10),5330(11),12625(11),12164(11)]),flip(a)]. 290575 T(x,(y \ (T(z,u) \ u)) * w) = T(x,y \ ((z / u) \ w)). [back_rewrite(162052),rewrite([290539(6)])]. 290580 T(x,(y \ T(z \ u,z)) * w) = T(x,y \ ((z / u) \ w)). [back_rewrite(170407),rewrite([290575(10)])]. 290585 T(x,(y \ T(z \ u,u)) * w) = T(x,y \ ((z / u) \ w)). [back_rewrite(290519),rewrite([290580(10)])]. 290591 T(x,(y \ T(T(z,u),w)) * v5) = T(x,(y \ T(z,w * u)) * v5). [hyper(507,a,1542,a(flip),b,1542,a),rewrite([853(8),682(11),49092(10),53692(10),206965(12),85441(11),234564(11)])]. 290608 T(x,(y \ T((z * u) / z,w)) * v5) = T(x,(y \ T(u,z * w)) * v5). [para(229(a,2),1542(a,2,2,1,2)),rewrite([36964(6),474(6),24547(8),5248(7),679(5),10121(7),11303(7),206965(6),290591(5),229(8)]),flip(a)]. 290693 T(x,(y \ T(z / u,w * z)) * v5) = T(x,(y \ T(u \ z,w)) * v5). [para(171(a,1),1543(a,1,2,1,2,2)),rewrite([136287(6),22(3),290591(6),1576(9)])]. 290731 T(x,(y \ T(z / u,u * w)) * v5) = T(x,(y \ T(u \ z,w)) * v5). [para(20863(a,2),1543(a,1,2,1,2,2)),rewrite([20863(8),976(8,R),1918(8),503(5),290608(9),25617(5),283854(7),290693(6),290608(12)]),flip(a)]. 290742 T(x,y \ ((z / u) \ w)) = T(x,(y \ u) * (z \ w)). [back_rewrite(283832),rewrite([290731(6),290585(5)])]. 293649 (x * T(y,y \ z)) * (y \ z) = (x * y) * (z / y). [para(503(a,1),3859(a,1,2)),rewrite([869(2)])]. 293746 ((x * y) * z) \ (x * T(y,z)) = L(T(z,y) \ 1,z,x * y). [para(3859(a,1),1351(a,2,1)),rewrite([5787(7),883(6)]),flip(a)]. 295140 a(x * (y \ ((z * u) * u)),w,v5) = a((y \ L(z,u,u)) * x,w,v5). [para(5146(a,2),834(a,1,1,1,2)),rewrite([5146(3),97994(6),98543(11),98692(10)])]. 296257 L(x,a(y,z,u),a(y,z,L(u,w,v5))) = x. [para(6300(a,2),284(a,1,1)),rewrite([303(2),13307(2),303(6),13307(6),9897(9),5942(10),300(2),303(6),13307(6),255190(8)])]. 296401 L(K(x,x \ y) * z,x \ y,x) = y \ (x * ((y / x) * z)). [hyper(1465,a,6701,a(flip),b,5867,a),rewrite([7363(5)]),flip(a)]. 296983 (T(x,y) \ z) * R(T((x \ z) \ z,y),u,w) = (z / x) * R(x,u,w). [hyper(507,a,7164,a,b,5709,a),rewrite([2426(5),287789(7),3176(8)]),flip(a)]. 297008 (1 / x) * R((x \ 1) \ 1,y,z) = R(x,y,z) * (1 / x). [para(865(a,1),5709(a,1,1)),rewrite([865(6),4717(8),865(13)])]. 297193 x * R(x \ y,z,z \ x) = ((y / x) * z) * (z \ x). [hyper(152,a,5931,a(flip),b,5710,a),flip(a)]. 297198 x * (y * R(y \ (x \ z),x,y)) = ((z / (x * y)) * x) * y. [hyper(152,a,3516,a(flip),b,5710,a),rewrite([5481(9)]),flip(a)]. 297330 (x / (y * (z \ x))) * y = y * R(y \ z,y,z \ x). [para(5933(a,1),5710(a,1,1))]. 297474 a(x \ y,z,z \ x) * y = ((y / x) * z) * (z \ x). [back_rewrite(280245),rewrite([297193(8)])]. 298587 (x * y) * (z * K(x \ 1,x)) = ((1 / (1 / x)) * y) * z. [para(5711(a,1),4523(a,1,2,2)),rewrite([12609(10),1696(9),162781(7),2429(7),682(6),5711(13),64(14),60(13),4953(15),3516(13)])]. 298739 ((1 / (1 / x)) * (y \ (y / x))) * z = a(y,x \ 1,x) \ z. [back_rewrite(85724),rewrite([298587(8)])]. 298772 L(x,y,z * L(u,z,z)) = L(x,y,z \ u). [para(14620(a,1),4680(a,1,3,2)),rewrite([1504(5),4676(5),919(9),3264(9),881(7),9061(8),20(6),5081(6)])]. 298823 L(x,y,L(z,u,u) * u) = L(x,y,u \ z). [para(4882(a,1),4680(a,1,3,2)),rewrite([4882(7),123889(8),919(5),492(4),881(3),492(2),919(9),492(8),881(7),492(6),5081(6)])]. 298853 L(x,L(y,z,z),z \ y) = L(x,L(y,z,z),z * y). [back_rewrite(251611),rewrite([298772(4)])]. 299015 ((x * y) * z) \ (T(x,y) * u) = ((y * x) * z) \ (x * u). [para(3580(a,1),5815(a,1,1,2)),rewrite([123866(6),2903(9),2188(9)]),flip(a)]. 299026 L(x,x,(x * y) * (y * z)) = L(x,x,x * z). [para(3580(a,1),8068(a,1,3)),rewrite([81725(4),81725(7),1503(7)])]. 299209 L(x,x \ (y \ (x * z)),y) = L(x,y \ z,y). [para(3580(a,1),81970(a,1,2)),rewrite([81946(4),5788(7)])]. 299288 (x * y) * a(z,u,L(w,x,y)) = (x * a(z,u,w)) * y. [hyper(507,a,291,a,b,2463,a),rewrite([5264(3),502(4),8871(6)]),flip(a)]. 299317 x \ (y * (x * L(z,y,x))) = T(y,x) * L(z,x,y). [hyper(1465,a,5868,a(flip),b,2463,a(flip))]. 299356 (((x \ y) \ y) * z) * L(u,x,z) = z * (T(T(x,z),x \ y) * u). [para(4706(a,2),2463(a,2,2,1)),rewrite([882(6)])]. 299476 R(x,y,L(z,u,w) * (u * w)) = R(x,y,(u * z) * w). [para(2463(a,1),1846(a,1,3)),rewrite([1843(4)]),flip(a)]. 299967 T((x * (y \ 1)) / x,y \ x) = L(y \ 1,x,y). [hyper(507,a,3264,a(flip),b,4231,a),rewrite([2086(11)]),flip(a)]. 300182 L(x,(L(y,z,y) \ u) * w,v5) = L(x,(y \ u) * w,v5). [para(4231(a,1),901(a,1,2,1,1)),rewrite([902(9),21(6)])]. 300983 a(x,y,(((z \ u) * z) * w) * v5) = a(x,y,(u * w) * v5). [para(2595(a,1),794(a,1,3,1))]. 302142 K(x,x \ y) * (L(y,z,u) * w) = L(x * (y / x),z,u) * w. [hyper(152,a,4709,a,b,10071,a),rewrite([5430(3),5430(6),11055(7),991(5),15598(7),1110(6),928(6),4709(5),4530(8)])]. 302297 ((T(x,y) \ 1) * x) \ z = (T(x,y) * (1 / x)) * z. [para(1099(a,1),10071(a,1,2,1,2)),rewrite([853(5),2186(5),150943(6),1225(9)])]. 302627 T((x \ 1) \ 1,y) * (x \ z) = (T(x,y) * (1 / x)) * z. [back_rewrite(151111),rewrite([302297(12)])]. 302628 K(x,y) * (K(x,x \ 1) * z) = (T(x,y) * (1 / x)) * z. [back_rewrite(150943),rewrite([302297(11)])]. 304374 L(x,y,L((z * z) \ u,w,v5) * v6) = L(x,y,v6 * L(u,w,v5)). [para(26163(a,1),6777(a,2,3)),rewrite([5159(3),5787(7),6917(5),927(10),2568(8)])]. 304413 L(x,y,a(z,u,(w * w) \ v5)) = L(x,y,a(z,u,v5)). [para(13502(a,1),6777(a,1,3)),rewrite([7107(11),304374(9),8881(7)])]. 304481 (x \ y) * K(z \ x,z) = T(y / (z * (x / z)),x). [para(13770(a,1),5534(a,1,3)),rewrite([12605(9),13770(7),679(8)]),flip(a)]. 304540 T(x / (y * (z * u)),y * (u * z)) = ((y * (u * z)) \ x) * K(u,z). [para(6863(a,1),5534(a,1,3)),rewrite([12605(10),6863(13),679(11)])]. 305159 T(x,y * (z * ((u / w) * v5))) = T(x,y * (z * (u * (w \ v5)))). [para(5535(a,1),1190(a,1,2,2,2,1)),rewrite([218265(9),229(4),22(2),502(3),22(9)])]. 307028 T(x * K(y,T(z,u)),T(z,y) \ u) = K(y,z) * T(x,z \ u). [para(11270(a,1),5537(a,1,1,2)),rewrite([1105(3),853(2),434(7),12606(10),11270(10),774(12),29(11)])]. 311046 R(x,y \ (z \ y),L(z,z,y)) = R(x,z \ 1,z). [para(5923(a,2),14782(a,2,3)),rewrite([14782(8),12123(7),7914(7),225346(7),9364(11),190461(11),7914(7)]),flip(a)]. 311148 R(x / ((y * z) \ y),z \ 1,z) = x * (((y * z) \ y) \ 1). [para(5923(a,2),4356(a,1,3)),rewrite([9364(11),190461(11),7914(7),311046(7)])]. 312676 L(x,L((y * z) \ y,u,w) * (y * z),v5) = L(x,y * a(z,u,w),v5). [para(6192(a,2),877(a,1,2,1)),rewrite([8633(6),13434(10)])]. 312857 L((x * y) \ x,y,y) = L(1 / y,y,x). [para(1350(a,1),5918(a,1,1)),rewrite([391(5),3264(12),882(10)]),flip(a)]. 312883 L(x,x,L(y,y,z)) = L(x,x,y). [para(5918(a,2),8068(a,1,3)),rewrite([80520(5),81738(4),20(2),81725(5),123882(5),9267(4)])]. 312908 L(x,a(y,z,u \ 1) * w,v5) = L(x,w * a(u,z,y),v5). [para(5918(a,1),877(a,1,2,1)),rewrite([312676(6),13563(8),8380(8)]),flip(a)]. 313167 L(x,y,((z * u) * z) * w) = L(x,y,L(u,z,z) * w). [para(5885(a,2),6777(a,1,3,1)),rewrite([69834(6),20(5),6295(6),289137(6),66750(4)]),flip(a)]. 313802 (x * ((x \ 1) \ y)) \ z = y \ ((x \ 1) * (x \ z)). [para(4356(a,2),5728(a,1,1,1)),rewrite([4356(6),24993(5),5848(4),24993(10),5846(9)])]. 313873 ((x * T(x,y)) \ z) \ u = z \ ((x * T(x,y)) * u). [para(1501(a,1),5728(a,1,1)),rewrite([856(2),923(9),1715(8),856(6)])]. 313882 a(x,y \ ((z \ 1) * (z \ u)),w) = a(x,y \ ((z * z) \ u),w). [back_rewrite(201133),rewrite([313802(5)])]. 314020 K(x \ y,x) * (T(x \ y,z) \ u) = T(y / x,T(z,x)) \ u. [hyper(1465,a,3130,a(flip),b,2189,a),rewrite([2951(6),68700(11)])]. 314808 (x / y) * (T(y,y \ x) \ z) = (y \ x) * (y \ z). [hyper(1468,a,2192,a(flip),b,3208,a),flip(a)]. 314821 ((x * y) \ z) * (x * K(y * x,y \ (x \ z))) = (z / (x * y)) * x. [hyper(1468,a,470,a(flip),b,3208,a),rewrite([1010(6)])]. 314901 K(x,x \ y) * a(x \ y,z,u) = (x \ y) \ R(y / x,z,u). [para(9238(a,1),3208(a,1,2)),rewrite([850(8)]),flip(a)]. 315222 L(x,y,z * (((u * u) \ w) * v5)) = L(x,y,z * (w * v5)). [para(3104(a,2),6777(a,1,3,1)),rewrite([5876(5),289247(6),37500(4),284387(7),284387(10)])]. 315226 L(x,y,z * ((u \ 1) * w)) = L(x,y,z * (w * u)). [back_rewrite(100063),rewrite([315222(5)]),flip(a)]. 316712 L((x * y) \ z,u,y \ (x \ z)) = L((x * y) \ z,u,y * (x \ z)). [para(2864(a,2),5756(a,1,1)),rewrite([2864(6),3310(5),5756(6)]),flip(a)]. 317074 (1 / T(x,y)) / L(z,z \ 1,x) = (K(y,x) / x) * (1 / z). [hyper(507,a,14301,a,b,3983,a),rewrite([919(14),3264(14),927(12)]),flip(a)]. 317092 (1 / x) / L(y,y \ 1,x) = (1 / x) * (1 / y). [hyper(507,a,3277,a,b,3983,a),rewrite([3277(4),919(12),3264(12)]),flip(a)]. 317114 L(x / y,x \ y,x) \ x = x * (1 / (y \ x)). [hyper(152,a,2457,a(flip),b,3983,a),rewrite([9446(5)])]. 317508 a(x,y,z * (u * (w * (u \ 1)))) = a(x,y,z * L(w,u \ 1,u)). [para(3984(a,1),796(a,1,3,2)),rewrite([2523(5),2590(11)]),flip(a)]. 317510 a(x,y,z * ((u * (w \ 1)) * w)) = a(x,y,z * L(u,w \ 1,w)). [para(3984(a,1),808(a,2,3,2)),rewrite([878(4),2590(10),808(10),2523(11)])]. 317535 a(x,y * (z * (y \ 1)),u) = a(x,L(z,y \ 1,y),u). [para(3984(a,1),2333(a,1,2)),rewrite([5817(4),2326(9)]),flip(a)]. 317698 L(x,y \ (z * u),x) = L(x,z * (y \ u),x). [hyper(507,a,903,a,b,3985,a),rewrite([903(3),3574(3),12820(6),11897(11),3985(11),5204(6)])]. 317887 L(x,(y \ z) \ u,x) = L(x,y * (z \ u),x). [back_rewrite(3574),rewrite([317698(6)])]. 319182 L(x * K(y \ x,z),y \ 1,y) = y * T((y \ 1) * x,z). [para(3999(a,1),3856(a,1,2,1)),rewrite([3999(12),2111(12),677(11)]),flip(a)]. 319183 x \ T(x * L(y,x,x),x \ 1) = (((x \ 1) \ 1) * y) * (x \ 1). [para(3999(a,1),5505(a,2,1)),rewrite([3264(7),882(5)])]. 319211 (x * x) \ L(y,x \ 1,x) = (x \ 1) * ((1 / x) * y). [para(3999(a,1),3508(a,1,2)),rewrite([5400(6)]),flip(a)]. 319939 L(x,y,z * (u \ a(w,v5,w))) = L(x,y,u * z). [para(5535(a,1),4111(a,1,3)),rewrite([300(3),22(2),2366(9),2362(8),7107(8)])]. 319940 R(x,y,z * (a(u,w,u) \ v5)) = R(x,y,v5 * z). [hyper(507,a,1846,a,b,4112,a),rewrite([2366(5)]),flip(a)]. 320077 R(x,y,L(L(z,u \ 1,u),w,v5)) = R(x,y,L(L(z,w,v5),u,u)). [para(5641(a,1),4116(a,1,3)),rewrite([239159(6),7814(6)]),flip(a)]. 322621 R(x * y,z,u) / y = y * R(y \ x,z,u). [hyper(507,a,5710,a(flip),b,4232,a),rewrite([12405(7),78312(7),7508(10),375(6)]),flip(a)]. 325688 T((x \ y) / y,z) \ (x \ y) = K(z,x \ 1) * y. [para(4463(a,2),3209(a,2,1,1)),rewrite([3209(5),32(10),151923(12),61729(11),1825(9),1097(8)])]. 325761 x * T(x \ ((y \ 1) \ x),z) = (T(y,z) \ 1) \ x. [hyper(1468,a,26603,a(flip),b,4464,a),rewrite([6388(9),22(7),8826(6),373(5),12820(9),373(6),20(6),11578(7),285362(6)]),flip(a)]. 325809 L(x,x,a(y,z,u)) \ a(y,z,u) = (x \ 1) * a(y,z,u). [hyper(507,a,9945,a,b,4464,a),rewrite([749(8),1742(8),19(6),749(6),178667(6),5242(8),7114(8)]),flip(a)]. 325977 ((x \ K(y,z)) * y) * y = ((x \ 1) * y) * T(y,z). [para(4464(a,2),5146(a,1,1)),rewrite([1860(4),54474(5)])]. 326689 a(x * (y * ((z \ 1) * u)),w,v5) = a((y * (z * u)) * x,w,v5). [para(4468(a,2),827(a,2,1,2,2)),rewrite([827(8),3281(8),284563(6),207500(11)])]. 327090 L(T(x,y * z),z * y,z * y) = (1 / (y * z)) * (x * (y * z)). [hyper(152,a,1507,a,b,4470,a)]. 327254 (x * (x * y)) \ T(x,y) = (x * (y * x)) \ x. [para(4470(a,2),1351(a,2,1)),rewrite([919(7),3264(7),45873(5),5574(9),502(6)])]. 327677 R(x * ((y \ 1) / y),y \ 1,y \ 1) = (x * (y \ 1)) * (y \ 1). [hyper(507,a,4356,a,b,4472,a),rewrite([4356(7),24993(11)]),flip(a)]. 327806 x * (y * L(x,y * x,x)) = (x * ((y * x) * x)) / x. [para(4472(a,2),4128(a,1,1,2)),rewrite([4472(3),2801(8)]),flip(a)]. 328011 T(x,y * (z * ((u * z) \ w))) = T(x,y * (u \ w)). [para(4473(a,1),1209(a,2,2,2,1)),rewrite([2499(3),374(1),305159(9),11055(9),19(2),380(1),19(6),49592(11),12781(10)])]. 329221 K(x,y) / (a(z,u,w) \ v5) = (K(x,y) / v5) * a(z,u,w). [para(1013(a,2),4566(a,2,1,2)),rewrite([8193(7),302(7),1013(9),1863(10),53652(10),78378(8),418(12),682(10),728(12),9612(10)])]. 329824 (x \ y) * ((y \ (x \ y)) \ 1) = R(y,x \ 1,x). [hyper(1467,a,7058,a,b,4585,a),rewrite([763(11),184047(10),11706(6),6387(15),8826(14),20(12),492(11),1857(10),9800(9),79530(9)])]. 329827 R(x * (y * K(z,u)),w,w \ 1) = ((x * y) * w) * (w \ K(z,u)). [hyper(1467,a,756,a(flip),b,4585,a),rewrite([94996(7),20(5)]),flip(a)]. 330440 L(x,L(y,z,z),z * y) = L(x,y,z * y). [para(4590(a,1),9351(a,1,3,1)),rewrite([2568(10),8303(8),19(7),4676(8),298772(6),4179(5),8303(3),19(2),298853(3),4179(8),8303(6),19(5),11130(6)])]. 330976 a(x,y,L(z,z,u) * u) = a(x,y,(z \ 1) \ u). [para(4821(a,2),809(a,1,3)),rewrite([813(4),95521(4),11202(4)]),flip(a)]. 331038 L(x,y,L(z,z,u) * u) = L(x,y,z \ u). [para(4821(a,2),1506(a,1,3)),rewrite([919(4),10107(4)]),flip(a)]. 331039 R(x,y,z \ (u * (z * z))) = R(x,y,L(z,z,u) * u). [para(4821(a,2),1846(a,1,3)),rewrite([1859(4)])]. 331042 R(x,y,z \ (u * (z * z))) = R(x,y,(z \ 1) \ u). [para(4821(a,1),1859(a,1,3)),rewrite([11398(3)]),flip(a)]. 331163 (x * y) * L(x,x,y * x) = ((x * y) * (x * x)) / x. [para(9359(a,2),4821(a,2,2)),rewrite([81725(7)]),flip(a)]. 331254 R(x,y,L(z,z,u) * u) = R(x,y,(z \ 1) \ u). [back_rewrite(331039),rewrite([331042(4)]),flip(a)]. 331491 x * a(y,y \ 1,x) = (y \ 1) \ (y \ x). [hyper(152,a,3511,a,b,4946,a),rewrite([3511(8),9906(8),391(6),818(9),850(9),174578(9),20(6)]),flip(a)]. 331537 x * (a(y,y,x) * R(T(y,x),z,u)) = (1 / R(y,z,u)) \ x. [hyper(1467,a,4946,a(flip),b,7793,a),rewrite([5817(3),13265(3),8520(3),8599(3),290742(8),9234(4),373(5),5282(5),10047(5)])]. 331628 (x * a(y,y,x)) \ ((1 / y) \ x) = T(y,x). [para(4946(a,1),741(a,2,1)),rewrite([290742(5),372(1),373(3),19(2)]),flip(a)]. 331668 x * (L(x,y,z) \ ((1 / L(x,y,z)) \ u)) = (1 / x) \ u. [para(4946(a,1),277(a,2,2)),rewrite([277(7),8870(10),8520(10),8599(10),8043(10),5072(9)])]. 331676 L(x \ y,x,a(z,z,y)) = (x * a(z,z,y)) \ (z \ ((1 / z) \ y)). [para(4946(a,2),286(a,2,2))]. 331711 x \ ((y \ ((1 / y) \ x)) * z) = a(y,y,x) * z. [para(4946(a,2),3748(a,1,2,1)),rewrite([5238(2),8946(2),9232(2)])]. 331760 (x * ((x \ y) * (z * a(y,y,z)))) \ ((1 / y) \ z) = a(x,x \ y,z). [para(4946(a,1),7835(a,1,1,2,2)),rewrite([6693(15),9067(15),82138(12)])]. 331765 L(x,y \ ((y \ 1) \ z),u) = L(x,L(z,y,y),u). [para(4946(a,2),5840(a,2,2)),rewrite([5840(8),6554(2),9229(2),10647(3),6554(4),9229(4),10648(7)]),flip(a)]. 331853 a(x * (y \ ((1 / y) \ z)),u,w) = a(x * (z * a(y,y,z)),u,w). [para(4946(a,1),823(a,2,1,2)),rewrite([823(6)])]. 331856 a(x * (a(y,y,x) * z),u,w) = a((y \ (y \ x)) * z,u,w). [para(4946(a,1),832(a,2,1,1)),rewrite([832(6),201703(6),10047(7)]),flip(a)]. 331996 x / (y \ ((1 / y) \ x)) = a(y,y,x) \ 1. [para(4946(a,2),3056(a,1,2)),rewrite([300(2),70455(8)])]. 332119 a(x * (y \ ((1 / y) \ z)),u,w) = a((y \ (y \ z)) * x,u,w). [para(4946(a,2),1475(a,1,1,2)),rewrite([6554(2),9229(2),331856(10)])]. 332139 R(x,y,z) * (x \ ((1 / x) \ u)) = (1 / R(x,y,z)) \ u. [para(4946(a,1),5709(a,1,1)),rewrite([741(10,R),290742(7),372(3),373(5),19(4),10047(5),331537(5)]),flip(a)]. 332140 (x \ ((1 / x) \ y)) * R(T(x,y),z,u) = (1 / R(x,z,u)) \ y. [para(4946(a,1),5709(a,1,2,1,1)),rewrite([331628(10),332139(13)])]. 332213 a(x * (y * a(z,z,y)),u,w) = a((z \ (z \ y)) * x,u,w). [back_rewrite(331853),rewrite([332119(6)]),flip(a)]. 332254 x \ ((1 / y) \ (y \ x)) = ((y \ x) / x) * y. [hyper(507,a,5971,a,b,4947,a),rewrite([5644(5),6706(5),22(5)]),flip(a)]. 332262 (K(x,y) / x) \ y = y * R(x,x,y). [hyper(1468,a,4947,a(flip),b,2469,a),rewrite([8041(3),107838(7)]),flip(a)]. 332310 a(x * a(y,z,u),x,a(u,z,y)) = a(x,x,a(y,z,u)). [para(295(a,1),4947(a,1,1)),rewrite([78378(4),11333(6),11435(7),10585(4),6849(5),10164(5),97527(8),97563(8),9285(6)]),flip(a)]. 332990 a(x,y,L(z,u,w)) \ (v5 * z) = (a(x,y,L(z,u,w)) \ v5) * z. [hyper(1467,a,5033,a(flip),b,4172,a(flip)),rewrite([680(8),774(6),9315(6),196037(5),3014(7),3154(6),5991(6),4196(5),9388(6),763(6),17027(5),502(5),680(11),774(9),9315(9),196037(8),3014(10),3154(9),5991(9),4196(8),9388(9)]),flip(a)]. 333017 a(x,y,L(z,u,w)) \ (z \ v5) = z \ (a(x,y,L(z,u,w)) \ v5). [para(5033(a,1),5804(a,1,1)),rewrite([9388(4),9388(9)]),flip(a)]. 333073 K(x * ((y * z) \ u),w) = K(x * (z \ (y \ u)),w). [para(14870(a,1),5207(a,1,1,1)),rewrite([7352(7),6357(7),28989(7),7453(6),7352(9),5429(9),5206(8)])]. 333338 a(x,x,y * L(z,y,a(u,w,x))) = a(x,x,(a(x,w,u) \ y) * z). [para(5867(a,2),5221(a,1,3)),rewrite([8380(4),9939(4)])]. 333387 R(x,x,y) * (y * a(x,z,u)) = ((1 / x) \ y) * a(x,z,u). [hyper(1468,a,5227,a(flip),b,4947,a),rewrite([19078(5),6581(4),8047(5),7037(9)])]. 333388 x * (((1 / x) \ y) * a(x,z,u)) = (x * x) * (y * a(x,z,u)). [hyper(1468,a,5227,a(flip),b,25,a),rewrite([19078(6),19078(5),6581(4),8047(5),333387(4)])]. 333423 R(1 / x,x,y * a(x,z,u)) = a(x,x,y) / x. [para(5227(a,1),9348(a,2,1))]. 333447 T(x,y \ (z \ L(u,w,v5))) = T(x,y \ (z \ u)). [hyper(152,a,1007,a(flip),b,5253,a),rewrite([1007(7)])]. 333820 K(x,y * ((z / u) / w)) = K(x,y * (z / (w * u))). [para(4357(a,1),5295(a,1,2,2)),flip(a)]. 333857 K(x,y * ((z \ u) / w)) = K(x,y * (z \ (u / w))). [back_rewrite(244738),rewrite([333820(6),1442(6),976(2),12937(6),160532(5)]),flip(a)]. 333980 a(x,x,x \ y) \ (z * (((x \ y) / y) * x)) = z. [hyper(1832,a,5311,a,b,21,a),rewrite([299(7)])]. 334224 (a(x,y,z) / u) * (a(x,y,z) \ u) = a(u,u,a(x,y,z)). [para(296(a,1),5311(a,1,3)),rewrite([97527(6),97563(6),9285(4),332310(4),296(5)]),flip(a)]. 334345 a(x \ ((y \ (z \ y)) * z),u,w) = a(x * a(z,z,z \ y),u,w). [para(5311(a,2),821(a,2,1,2)),rewrite([821(6),10141(5),9531(9)])]. 334346 a(x * a(y,y,y \ z),u,w) = a(x * a(y,y,z),u,w). [para(5311(a,2),826(a,2,1,2)),rewrite([826(6),7758(5),10138(5)]),flip(a)]. 334347 a(x * a(y,y \ 1,z),u,w) = a(x * a(y,y,z),u,w). [para(5311(a,2),829(a,1,1,2)),rewrite([334346(4),5313(6)]),flip(a)]. 334390 L(x,y,y) * (((y \ z) / z) * y) = ((y \ z) / z) * (y * x). [para(5311(a,2),5720(a,1,2,2,2)),rewrite([300(5),919(7),8040(7)]),flip(a)]. 334456 (((x \ y) / y) * x) \ 1 = (x \ y) \ ((1 / x) * y). [para(5311(a,1),9316(a,1,1)),rewrite([3277(8)])]. 334522 T(((x \ y) / y) * x,z) = ((x \ y) / y) * x. [para(5311(a,2),5666(a,1,1,2,2,2)),rewrite([41(5),20(4)])]. 334534 (1 / (1 / x)) * ((x \ y) / y) = ((x \ y) / y) * x. [para(5311(a,2),4134(a,1,2,2)),rewrite([300(5),881(6),8541(6),1350(6)]),flip(a)]. 334549 a(x \ ((y \ (z \ y)) * z),u,w) = a(x * a(z,z,y),u,w). [back_rewrite(334345),rewrite([334346(9)])]. 334662 (x \ ((1 / y) \ x)) * T(z,T(y,x)) = z * R(T(y,x),y,x). [hyper(1467,a,5312,a(flip),b,511,a),rewrite([12603(7)])]. 334694 R(T(x \ 1,y),x \ 1,y) = y \ (x \ y). [para(391(a,1),5312(a,2,2,1))]. 334775 T(x / (y \ ((1 / z) \ y)),T(z,y)) = R(T(z,y),z,y) \ x. [para(5312(a,1),514(a,1,1,2))]. 335309 a(x * y,(y \ x) \ 1,x) = (x / y) * (y / x). [para(492(a,1),5313(a,1,2,1)),rewrite([10142(8),850(8),245524(8)]),flip(a)]. 335404 R(T(x,x \ y),y \ (x \ y),y) = (x \ y) \ ((x \ 1) \ (x \ y)). [para(5313(a,1),71269(a,1,2,1)),rewrite([9585(5)]),flip(a)]. 335422 a(x \ (y * (z \ (y \ z))),u,w) = a(x \ a(y,y \ 1,z),u,w). [para(5313(a,1),822(a,1,1,2)),flip(a)]. 335423 a(x * (y * (z \ (y \ z))),u,w) = a(x * a(y,y,z),u,w). [para(5313(a,1),827(a,1,1,2)),rewrite([334347(5)]),flip(a)]. 335424 a((x * (y \ (x \ y))) * z,u,w) = a(a(x,x \ 1,y) * z,u,w). [para(5313(a,1),828(a,1,1,1)),flip(a)]. 335426 L(x,(y \ (z \ y)) * z,u) = L(x,a(z,z \ 1,y),u). [para(5313(a,1),875(a,1,2)),rewrite([6909(8)]),flip(a)]. 335427 L(x,a(y,y \ 1,z),u) = L(x,a(y,y,z),u). [para(5313(a,1),878(a,1,2)),rewrite([99597(8)])]. 335445 R(x,(y \ (z \ y)) * z,u) = L(x,a(z,z,y),u). [para(5313(a,1),1856(a,1,2)),rewrite([5238(4),335427(4),10896(6)]),flip(a)]. 335446 a(x,(y \ (z \ y)) * z,u) = a(x,a(z,z \ 1,y),u). [para(5313(a,1),2333(a,1,2)),rewrite([2332(8)]),flip(a)]. 335451 a(x,(y * (z \ (y \ z))) \ u,w) = a(x,a(y,y \ 1,z) * u,w). [para(5313(a,1),935(a,2,2,1)),rewrite([6474(7),935(7),97527(10)])]. 335586 L(x,(y \ (z \ y)) * z,u) = L(x,a(z,z,y),u). [back_rewrite(335426),rewrite([335427(8)])]. 336827 K(x,y \ ((z / u) / w)) = K(x,y \ (z / (w * u))). [para(14869(a,1),5543(a,1,2,2)),rewrite([174036(7),173851(7),333857(6),5327(6),159881(9)]),flip(a)]. 339816 K((x \ (y / z)) * u,w) = K((x \ y) * (z \ u),w). [para(33314(a,1),370(a,1,1,1)),rewrite([240767(8),1913(8),60801(8),5900(8),156026(8),75931(8),20297(7),147430(6),5206(5),475(5),33314(9),158623(9)])]. 342346 K(x,T(y,z)) * (u * T(x,y)) = K(x,y) * (u * T(x,T(y,z))). [para(171461(a,1),14272(a,2,2)),rewrite([9957(5),866(4),2547(3),1941(3),9957(6),866(5),9806(4),30(3),5795(4),5292(3),1941(4),407(3),1104(5),9957(10),866(9),2547(8),1941(8),1104(12),853(7),106921(12),174(9)]),flip(a)]. 345864 K(x * K(y,z),u) * K(u,w) = K(x,u) * K(u,w * K(y,z)). [para(25900(a,1),5773(a,1,1)),rewrite([5781(9),48369(10),5781(9),682(8),108039(9),1820(8),110171(7),5781(9),6504(10),1860(15),1857(13),11965(11)]),flip(a)]. 346756 L(a(x,y,z) \ u,z,a(x,y,z)) = L(z,y,x) * (z \ u). [para(12672(a,1),34123(a,1,1,2)),rewrite([12672(5),6173(4),9319(4),299(5),12672(9),5238(7),6554(7)]),flip(a)]. 347890 (x / y) * T(y \ x,x \ z) = (y \ x) * T(x / y,z / x). [para(34279(a,1),25835(a,1,2)),rewrite([503(2),503(8)]),flip(a)]. 349500 ((L(x,y,z) / u) \ x) \ x = u \ L(x,y,z). [para(136055(a,2),3981(a,1,1)),rewrite([136055(4),1859(9),10683(9),126464(9),9237(4),5284(5),503(3),741(8)]),flip(a)]. 350537 T(x \ y,T(z \ y,x)) = T(x \ y,y / z). [para(34507(a,1),14944(a,1,1)),rewrite([174(5)]),flip(a)]. 354066 (x * x) * (y * L(z,x * y,x)) = R(x,x,y) * ((x * y) * z). [para(312883(a,2),14822(a,1,2,3)),rewrite([312883(5),251617(5),14(5)])]. 354320 K(x * T(x \ y,z),(y \ x) * z) = K(y,x * (y \ z)). [para(5966(a,2),13779(a,1,2,2)),rewrite([70331(6),1462(5),5326(3),12849(3),5297(10),22503(10),333073(10),13077(10),3209(6),156041(9),171(6)]),flip(a)]. 355098 (R(x,x,y) * ((x * y) * z)) \ ((x * x) * (y * z)) = a(x,x * y,z). [para(17328(a,2),14805(a,1,2,1,1)),rewrite([17328(9),14(7),245758(11)])]. 356053 T(x * K(y,T(z,u)),T(z,w) \ u) = T(x,T(z,w) \ u) * K(y,z). [para(2426(a,1),1597(a,1,1,2,2)),rewrite([1787(3),976(2),1941(3)])]. 356274 T(x,T(y,z) \ u) * K(z,y) = K(z,y) * T(x,y \ u). [back_rewrite(307028),rewrite([356053(6)])]. 356405 T(x,(y \ (z \ u)) * T(w,z * u)) = T(x,(y \ w) * (z \ u)). [hyper(152,a,2086,a(flip),b,1599,a),rewrite([5330(6),2086(12),5330(10)])]. 359564 L(x,y,z * ((T(u,w) * v5) * v6)) = L(x,y,z * ((u * v5) * v6)). [para(1715(a,1),888(a,1,3,2))]. 359672 a(((T(x,y) * z) * u) * w,v5,v6) = a(w * (u * (x * z)),v5,v6). [para(1715(a,1),1475(a,1,1,2)),rewrite([301(4),284375(5),55109(9)]),flip(a)]. 362315 R(x,y,z * (u \ T(w,v5))) = R(x,y,(u \ w) * z). [para(7058(a,2),1840(a,2,3,1)),rewrite([126242(7),2191(4),2034(3),1845(4),763(10),97380(11),1844(7)])]. 362317 R(x,y,L(T(z,u) * w,v5,v6)) = R(x,y,L(z * w,v5,v6)). [para(9238(a,1),1840(a,1,3)),rewrite([7328(4),845(8),9238(8),7328(7)])]. 362490 R(x,y,(z \ (z \ 1)) * u) = R(x,y,(z * z) \ u). [para(3513(a,1),1843(a,2,3,1)),rewrite([5864(6),129104(6),1845(6),362315(6),96782(5),3395(9)])]. 362509 R(x,y,(z * (u \ (z \ u))) * w) = R(x,y,a(z,z \ 1,u) * w). [para(5313(a,1),1843(a,2,3,1)),rewrite([7917(6),1843(6)])]. 362547 R(x,y,(z \ 1) * (z \ u)) = R(x,y,(z * z) \ u). [para(3508(a,1),1844(a,1,3)),flip(a)]. 362551 R(x,y,((z * u) \ u) * w) = R(x,y,(u \ (z \ u)) * w). [para(6375(a,1),1844(a,1,3,1)),rewrite([1844(4),96782(4),151826(9)]),flip(a)]. 362567 R(x,y,((K(z,u) / w) \ v5) * v6) = R(x,y,((1 / w) \ v5) * v6). [para(1485(a,1),1844(a,2,3,1)),rewrite([762(5),928(6),11664(7),1839(7)]),flip(a)]. 363235 K(x,y * (x \ z)) * ((y * z) \ u) = ((x \ (y * z)) * x) \ u. [para(5966(a,2),2583(a,2,1,2)),rewrite([5297(7),22503(7),333073(7),13077(7),3209(3),156041(6),171(3),354320(6),70331(11)])]. 363333 T((x * (y / x)) \ z,K(x,y)) = T(z / (x * (y / x)),y). [para(2583(a,1),3706(a,1,1)),rewrite([749(6),1742(6),991(5),2315(6),304481(9)])]. 363664 (L(x,y,y) * z) \ ((1 / y) * u) = ((y * (y * x)) * z) \ (y * u). [para(5835(a,1),6908(a,2,1)),rewrite([3277(4),497(10)])]. 363672 ((L(x,y,x) * z) * u) \ (L(x,y,x) * w) = ((x * z) * u) \ (x * w). [para(2541(a,1),6908(a,1,1,2)),rewrite([7821(6),6908(5)]),flip(a)]. 364046 ((x \ y) \ z) * K(x \ 1,x) = ((1 / (1 / x)) \ y) \ z. [para(4650(a,1),3869(a,2,1)),rewrite([1104(5),4331(6),301(11)])]. 364084 T(x,y) * ((1 / (1 / x)) \ z) = (T(x,y) * (1 / x)) * z. [para(4650(a,1),3499(a,1,2)),rewrite([2191(13),302628(13)])]. 364144 K(x,y) * (z * K(x,x \ 1)) = (T(x,y) * (1 / x)) * z. [back_rewrite(239371),rewrite([364084(7)]),flip(a)]. 364320 x * (y * ((a(z,u,w) \ 1) / y)) = ((y \ a(z,u,w)) * y) \ x. [hyper(152,a,1013,a,b,2592,a),rewrite([5289(4),4311(6),8163(6),11762(5)])]. 364434 ((x \ y) * x) \ R(y,z,u) = K(x,x \ y) * a(y,z,u). [para(9234(a,1),2592(a,1,2)),flip(a)]. 364841 L(T(x,y),z,u) * (T(T(x,y),y) \ w) = L(x,z,u) * (T(x,y) \ w). [hyper(1468,a,3491,a(flip),b,3465,a)]. 368648 ((x * y) * z) / R(T(x,u),y,z) = (x * (y * z)) / T(x,u). [para(6796(a,1),9955(a,1,1,2)),rewrite([2189(5)]),flip(a)]. 370477 L(((x * y) \ x) \ z,x \ (y \ x),x * y) = x \ ((x * y) * z). [para(6154(a,2),5823(a,1,1,1)),rewrite([6154(5),6402(7)])]. 371181 L(x,y \ (z \ y),y * (z \ y)) = L(x,z \ 1,z). [para(3828(a,2),8040(a,1,3,2)),rewrite([5786(8),21(4),6402(3),8426(3),5524(8),6402(8),81843(8)]),flip(a)]. 371182 L(x,y \ (z \ y),z \ y) = L(x,y \ (z \ y),y * z). [para(3828(a,2),8303(a,1,3)),rewrite([927(7),6402(4),10105(10),22(9),6402(8)]),flip(a)]. 371637 R(x,y,z) * (x \ T(u,w)) = T(R(x,y,z) * (x \ u),w). [para(1498(a,1),2099(a,1,2,2,1)),rewrite([5437(6),24(4),2122(4)])]. 372167 a(x \ y,z,L(u * y,x,u)) = a(y \ x,z,(y \ 1) \ u). [para(10641(a,1),8653(a,1,1,2)),rewrite([848(7),245337(5),8870(9)]),flip(a)]. 372741 T(x,T(y * z,z * u) \ w) = T(x,T(z * y,u) \ w). [para(9989(a,1),590(a,2,2,1)),rewrite([590(7),1557(5),12923(12),12922(12),148484(10)])]. 374684 ((x / y) / z) * (z / (x / y)) = ((y \ x) / z) * (z / (y \ x)). [para(11019(a,1),5069(a,1,1,2)),rewrite([2027(5),2004(5),818(11),10142(11),850(11),900(11),8326(11),12749(11)])]. 375614 x * (L((x \ 1) \ 1,y,z) \ 1) = (L(x,y,z) \ 1) * x. [para(9354(a,2),4312(a,2,2,1,1)),rewrite([9236(5),305(5),5269(4),250197(5),502(5),2867(9)]),flip(a)]. 379862 a(L((x * x) \ y,z,u) * w,v5,v6) = a(L(y,z,u) * w,v5,v6). [para(5466(a,1),3260(a,1,1)),rewrite([5164(5),22(4),2532(3),5876(6),29(7),4953(8),2532(8)]),flip(a)]. 384387 T(x,x * y) \ ((y * x) * z) = x \ (T(y * x,x) * z). [para(976(a,1),3488(a,1,1))]. 385114 T(x,y) * (y \ (x * z)) = x * (y \ (T(x,y) * z)). [para(3488(a,1),6632(a,2,2))]. 385608 K(x,y) * (K(x * z,y) * u) = y * (T(T(y,x),z * x) \ u). [para(187(a,1),3489(a,1,2,1))]. 385702 (x * (T(T(x,y),z) \ u)) \ w = u \ (T(T(x,y),z) * (x \ w)). [para(3489(a,1),3869(a,2,1)),rewrite([1104(5),923(6),853(2),188382(5),188425(5),301(10)]),flip(a)]. 386432 (R(x,y,z) \ u) * a(x,y,z) = a(x,y,z) * (R(x,y,z) \ u). [para(9357(a,1),11585(a,1,1,1)),rewrite([12603(4),4196(3),13482(5),1828(8),391(9),13408(9)])]. 387849 K(x \ 1,y) / T(x \ 1,z) = T(1 / x,z) \ K(x \ 1,y). [para(979(a,1),7658(a,1,1)),rewrite([230025(9),979(13)])]. 389392 K(x,T(y,z)) * ((u \ z) \ w) = (u \ (K(y,x) * z)) \ w. [para(1500(a,1),3220(a,1,1,1)),rewrite([1105(6),853(5),77394(6),749(3),866(7),1787(7),5795(7),5292(6),5899(7),162754(7),288324(10)])]. 390097 (x / y) * R((y \ x) \ 1,z,u) = (y \ x) \ R(x / y,z,u). [para(9346(a,2),3206(a,1,2)),rewrite([314901(11)])]. 390100 K(x,x \ y) * a(z,u,x \ y) = (y / x) * (L(x \ y,u,z) \ 1). [para(9354(a,2),3206(a,1,2)),flip(a)]. 390157 R(x,y,z) * (1 / x) = x * R(1 / x,y,z). [back_rewrite(297008),rewrite([390097(8),4245(6)]),flip(a)]. 390822 x \ T(y / T(z,u),z) = (x \ (z \ y)) * K(u,z). [hyper(1465,a,3014,a(flip),b,674,a)]. 390892 (x * T(y / T(z,u),z)) * w = (x * (z \ y)) * (K(u,z) * w). [para(3014(a,1),7237(a,1,1,2)),rewrite([12608(7),302(8),12608(10)])]. 391023 T(x / (y * (z / T(y,z))),T(z,y)) = ((y * (z / y)) \ x) * K(y,z). [para(4058(a,1),3014(a,2,1,2)),rewrite([3007(6),22(5),521(12)]),flip(a)]. 391098 (T(x,x \ (y / z)) \ y) / z = T((x \ y) / z,x). [hyper(1832,a,492,a(flip),b,6746,a),rewrite([6114(3)])]. 392406 T(x / (a(y,z,u) / w),w \ 1) = (a(y,z,u) / w) \ x. [hyper(152,a,10547,a(flip),b,5547,a),rewrite([5261(5),391(6),5261(8),391(9)]),flip(a)]. 393293 x * L(y \ 1,y,y * x) = x / y. [hyper(1468,a,15932,a,b,6376,a(flip)),rewrite([25536(10),53840(9),91933(8),45872(4)])]. 393346 R(x,y,L(z \ 1,z,y * z)) = R(x,y,z \ 1). [para(6376(a,2),5964(a,2,3)),rewrite([5964(6),2006(3),9385(3)]),flip(a)]. 393458 L(L(x \ 1,x,y * x) \ z,x \ 1,y) = (y / x) \ (y * z). [para(6376(a,2),5823(a,1,1,1)),rewrite([2008(8),9338(8)])]. 393640 (x \ 1) * ((y \ (y / x)) \ (y * x)) = R(y * x,x,x \ 1). [para(6376(a,1),13122(a,1,2,1))]. 393696 (x * T(y,z)) \ ((x * T(y,z)) / z) = L(z \ 1,z,(x * y) * z). [para(3849(a,2),6376(a,1,3)),rewrite([3849(6),10799(6)]),flip(a)]. 393714 (x \ (x / y)) / (x / y) = R(1 / x,x,y \ 1). [para(6376(a,2),4463(a,1,3)),rewrite([393346(7)]),flip(a)]. 393999 L(x \ 1,x,x * y) * y = (y / x) * K(x \ 1,y). [para(6377(a,2),1582(a,2,1)),rewrite([2667(4)]),flip(a)]. 394147 (T(x,y) * (z \ 1)) \ ((T(x,y) * (z \ 1)) / z) = L(z \ 1,z,x). [para(5509(a,1),6377(a,1,3)),rewrite([927(8),286100(7),196747(5),8300(4)]),flip(a)]. 394534 a(x,x,a(y,z,x) * u) = a(x,x,u). [hyper(507,a,4117,a(flip),b,7027,a),rewrite([2358(5),82367(6)]),flip(a)]. 394546 (x * a(y,z,u)) / (u * (x * a(y,z,u))) = a(u,u,x) / u. [hyper(1466,a,7027,a(flip),b,5069,a),flip(a)]. 394626 R(x,y,(z * (u * u)) \ w) = R(x,y,(u * u) \ (z \ w)). [para(5758(a,1),7333(a,1,3)),rewrite([1860(5),1860(9)])]. 394821 K(x,x \ y) * a(z,u,x \ y) = L(x \ y,u,z) \ (y / x). [para(11111(a,1),7449(a,2,1)),rewrite([155563(10),11040(11),8881(11),13269(9),2079(8),43003(8),2185(3),231774(11)])]. 394923 (x / y) * (L(y \ x,z,u) \ 1) = L(y \ x,z,u) \ (x / y). [back_rewrite(390100),rewrite([394821(5)]),flip(a)]. 395700 a(x,y,y \ L(z,x,x)) = a(x,y,y \ z). [hyper(507,a,14896,a,b,9217,a),rewrite([14896(6),9474(5),8999(5)]),flip(a)]. 395701 a(x,y,y \ ((x \ 1) * z)) = a(x,y,y \ (x \ z)). [hyper(507,a,5973,a,b,9217,a),rewrite([5973(5),9474(7),8999(7),3277(5),3948(8)]),flip(a)]. 395714 a(x,y,z * a(x,x,y)) = a(x,y,z). [hyper(507,a,3266,a(flip),b,9217,a),rewrite([174578(8),20(5),11427(8),3266(6)]),flip(a)]. 395725 R(x,y,a(x,x,y) * z) = R(x,y,z). [hyper(1468,a,9217,a(flip),b,9234,a),rewrite([9238(2)]),flip(a)]. 396915 L(x,x,(y * (x * z)) * x) = L(x,x,y * L(z,x,y)). [para(5815(a,1),9465(a,1,3)),rewrite([81725(6),313167(6),12539(5),81725(7)])]. 396970 L(x,x,y * L(x \ z,x,y)) = L(x,x,(y * z) * x). [para(6908(a,1),9465(a,1,3)),rewrite([81725(5),313167(5),12539(4),81725(7)]),flip(a)]. 396976 a(x,x,y * a(z,z,u)) = a(x,x,y). [hyper(507,a,814,a(flip),b,9552,a),rewrite([5264(4),814(5)]),flip(a)]. 396985 a(x,x,y) * L(z,u,u) = L(a(x,x,y) * z,u,u). [hyper(1832,a,9552,a(flip),b,9237,a),rewrite([299(4),8707(4),9236(3)])]. 397075 a(x,x,a(y,z,z) * u) = a(x,x,u). [hyper(152,a,809,a,b,9556,a)]. 397168 a(x,a(x,y,z) * u,z) = a(x,u,z). [hyper(152,a,3150,a,b,10481,a),rewrite([7258(4),214905(5)])]. 397184 a(x,a(x,y,L(z,u,w)) * v5,z) = a(x,a(x,y,a(w,u,z)) * v5,z). [para(277(a,1),10481(a,1,2)),rewrite([8871(3),42495(5),8871(6),299(7),97527(8)]),flip(a)]. 397347 a(x * (y \ x),z,z) = a(y,z,z). [para(7700(a,1),12533(a,1,1)),rewrite([6887(5),12533(5),93458(3),8870(7),3266(7),13198(5)])]. 397851 (a(x,x,y) \ z) * (x \ ((1 / x) \ y)) = z * y. [hyper(1468,a,12737,a,b,4474,a),rewrite([299(2),5238(4),6554(4),9229(4)])]. 398042 a(x,x,y) \ ((x \ ((1 / x) \ y)) * z) = y * z. [para(12737(a,2),3748(a,1,2,1)),rewrite([13307(2),9242(2)])]. 399271 (x \ L(y,x,z)) \ (x \ y) = a(z,x,y). [para(9344(a,1),13280(a,1,3)),rewrite([8870(6),13196(6),111271(5),8870(5),13480(5)]),flip(a)]. 400314 (x / y) * ((y \ x) / z) = (y \ x) * ((x / y) / z). [hyper(1468,a,2002,a,b,3208,a),rewrite([22(3)]),flip(a)]. 400352 (x / y) \ ((x / y) / z) = (y * x) \ ((y * x) / z). [hyper(1465,a,2002,a,b,3206,a),rewrite([22(3),9428(8)])]. 401266 R(x,y,z \ (u * (w * w))) = R(x,y,(w * w) * (z \ u)). [para(4952(a,1),2007(a,1,3,2)),rewrite([55792(8)])]. 403116 (x \ (y / z)) / (y / z) = (x \ (z \ y)) / (z \ y). [para(503(a,1),2232(a,1,1,2)),rewrite([503(4)]),flip(a)]. 403191 (x \ (T(y,z) \ u)) / (T(y,z) \ u) = (x \ (y \ u)) / (y \ u). [para(68261(a,1),2232(a,1,1,2)),rewrite([390822(4),68261(8),6238(8),3182(7),3026(6),503(4)]),flip(a)]. 403326 (x \ (y \ x)) / (y \ x) = R(1 / x,x,y \ 1). [back_rewrite(393714),rewrite([403116(4)])]. 403670 a(x,(L(T(y,z),u,w) * v5) * v6,v7) = a(x,(L(y,u,w) * v5) * v6,v7). [para(5800(a,1),2321(a,2,2)),rewrite([31(3),32(2),5800(5)])]. 403688 a(x,y * (z \ (y \ z)),u) = a(x,a(y,y \ 1,z),u). [para(5313(a,1),2321(a,2,2)),rewrite([2330(5),2321(5)])]. 403748 T(a(x,y,x) \ z,z \ 1) = (z \ a(x,y,x)) \ 1. [hyper(152,a,5667,a,b,2362,a),rewrite([5547(4),5266(5)])]. 403922 (x \ a(y,z,y)) * (x \ 1) = (x \ 1) * (x \ a(y,z,y)). [para(2367(a,1),7243(a,2,2)),rewrite([6750(4)])]. 404685 R(x,y,L(z,u,z) \ w) = R(x,y,z \ w). [para(2446(a,1),4112(a,1,3)),rewrite([1859(3),12258(3),1859(5)])]. 405637 x / (y \ (z * (x / z))) = K(z \ x,z) * y. [para(24(a,1),2477(a,1,1)),rewrite([864(6)])]. 407385 (x / (y * (a(z,u,w) * v5))) * K(y,v5) = x / ((v5 * a(z,u,w)) * y). [para(289(a,1),2517(a,2,2)),rewrite([5300(7)])]. 408136 x * ((x \ y) * (a(x,z,x) * u)) = R(x,z,x) * ((x \ y) * u). [hyper(1467,a,2602,a(flip),b,3749,a),rewrite([2535(5),2541(5),2358(5),10637(4),5867(5)])]. 408966 (x * R(y,z,y)) * (R(y,z,y) \ u) = (x * y) * (y \ u). [para(2608(a,2),5931(a,2,1)),rewrite([12258(4),404685(4),7325(3),2182(3),5931(3),2608(6)]),flip(a)]. 410694 (x \ y) * K(z * u,z \ (u \ y)) = x \ ((z * u) * (y / (z * u))). [para(2623(a,2),707(a,1,2)),rewrite([150756(6),1010(6),30086(6)])]. 410895 (x \ 1) * (L(x \ 1,y,x) \ z) = z * a(x,y,x \ 1). [hyper(152,a,4464,a,b,2632,a),rewrite([3264(7),3264(12),4464(12),202246(12),19(9)])]. 410930 R(x,y,x) * ((x \ z) * u) = x * ((L(x,y,x) \ z) * u). [hyper(1467,a,2632,a(flip),b,3749,a),rewrite([6910(5),2358(5),10637(4),5867(5),408136(5)])]. 410938 a(x,y,x) * (R(x,z,u) \ w) = L(R(x,z,u),y,x) \ w. [hyper(1466,a,2632,a(flip),b,4953,a),rewrite([2536(3),13265(3),13249(3),2535(5),10090(5),5254(6),5553(5),115561(6),7793(5),2535(7),10090(7)])]. 411032 a(x,y,x) * (z * (x \ u)) = z * (L(x,y,x) \ u). [para(2632(a,1),4474(a,1,2)),rewrite([404685(4),7796(6),5809(5)])]. 412375 x \ T(x * L(y,z,u),w) = L(x \ T(x * y,w),z,u). [para(18632(a,2),225(a,2,2,1)),rewrite([113257(8),225(7),18632(8)]),flip(a)]. 412462 (((x \ 1) \ 1) * y) * (x \ 1) = (x * y) * (1 / x). [back_rewrite(319183),rewrite([412375(6),3277(6),26198(7),108(6),378(6)]),flip(a)]. 415379 ((T(x,y) * z) \ z) \ 1 = T(((x * z) \ z) \ 1,y). [para(29(a,1),33468(a,1,1,1)),rewrite([853(2),389392(7),1501(4)])]. 416445 (x / y) * T(x / y,x \ y) = (x / y) / ((x / y) \ 1). [para(34969(a,2),4432(a,1,2)),rewrite([5325(5),2137(5),34501(3),34969(8),16824(7),662(4),4324(3),856(5),741(11),42027(12)])]. 423451 T((x * y) * z,K(x,y)) \ u = K(y,x) * (((y * x) * z) \ u). [para(103732(a,2),3580(a,1,1,1)),rewrite([103732(4),301(9),682(9),893(12),154846(11)])]. 425856 a(x,y,x) * ((z \ 1) / z) = (z \ 1) * (z \ a(x,y,x)). [para(24993(a,1),2388(a,2,2)),rewrite([2367(4),403922(5)]),flip(a)]. 425913 (x \ 1) * (L(x,y,z) \ a(z,y,x)) = (L(x,y,z) \ 1) / L(x,y,z). [para(9354(a,1),24993(a,1,2)),rewrite([9485(6)])]. 427474 x * (((x \ (1 / x)) * x) \ y) = (x \ (1 / x)) \ y. [para(42030(a,1),2425(a,2,1)),rewrite([1010(7),5728(9),200845(8),10906(6),373(8)])]. 427582 ((x \ (1 / x)) * y) \ z = y \ ((x \ (1 / x)) \ z). [para(42030(a,1),1501(a,2,1,1)),rewrite([3395(4),1010(6),5728(8),200845(7),10906(5),427474(6)]),flip(a)]. 428433 a(x,y * L(y \ 1,z,u),w) = a(x,a(y,z,u),w). [para(42601(a,1),2333(a,1,2)),rewrite([390157(6),5944(7),134746(7)]),flip(a)]. 428454 (x * R(1 / x,y,z)) \ u = u * ((R(x,y,z) \ 1) * x). [para(42601(a,1),2469(a,1,1)),rewrite([12609(5),864(4),4331(6),8163(6),124118(5),502(5),390157(9)]),flip(a)]. 429181 1 / R(x * y,x,y) = (1 / y) / x. [hyper(131,a,4357,a,b,42718,a),flip(a)]. 429334 (R(x,y,z) \ 1) \ L(z,y,x) = (x \ 1) \ z. [para(42790(a,1),9342(a,1,1)),rewrite([3264(10),2535(8),8893(8)]),flip(a)]. 429341 (x / (R(y,z,u) \ 1)) * (y \ 1) = (y \ 1) * ((R(y,z,u) \ 1) \ x). [para(42790(a,1),1498(a,1,1)),rewrite([42790(15)]),flip(a)]. 429948 R(x,y,z * (u \ (u \ 1))) = R(x,y,(u * u) \ z). [para(3396(a,1),1845(a,1,3,2)),rewrite([199625(5),10529(8)]),flip(a)]. 430123 a(x,(y * ((z \ u) \ u)) * w,v5) = a(x,w * (z * y),v5). [para(1850(a,1),2333(a,1,2)),rewrite([5944(11),299356(10),2327(11),2327(9)])]. 430225 R(x,y * (z * (u / w)),v5) = R(x,y * (z * (w \ u)),v5). [para(19263(a,1),1853(a,1,2,2,1)),rewrite([1104(7),853(3),126417(9),126444(5),1854(9)])]. 430264 R(x,L(y,z,y) * u,w) = R(x,u * y,w). [para(2633(a,2),1853(a,1,2,2,1)),rewrite([2633(3),2867(3),215515(5),6929(6)])]. 430295 R(x,y * (z * (T(u \ w,u) \ w)),v5) = R(x,y * (z * u),v5). [para(7358(a,1),1854(a,1,2,2,2)),rewrite([1854(11)])]. 430318 R(x,y * ((T(z,u) \ w) * v5),v6) = R(x,(v5 * (z \ w)) * y,v6). [para(906(a,1),1854(a,1,2,2)),rewrite([126417(6)]),flip(a)]. 430368 R(x,(y * ((z \ u) \ u)) * w,v5) = R(x,w * (y * z),v5). [para(120116(a,1),1854(a,1,2,2)),rewrite([430295(6),430318(9)]),flip(a)]. 430391 R(x,y * (((z \ u) \ u) \ w),v5) = R(x,(z \ w) * y,v5). [para(5668(a,1),1855(a,2,2,2)),rewrite([1855(5),151829(5)]),flip(a)]. 432313 T(x,T(y \ (z \ T(u,z)),w)) = T(x,T(y \ (u / z),w)). [hyper(1465,a,1905,a(flip),b,36212,a),rewrite([1104(8),12239(8),6985(8),1779(5),2433(5)]),flip(a)]. 432463 T(x,y \ (z \ (T(u,w) \ w))) = T(x,y \ (z \ (w / u))). [hyper(152,a,1007,a(flip),b,1907,a),rewrite([1007(9)])]. 434411 L(x,y \ ((z \ u) * z),w) = L(x,y \ u,w). [para(1989(a,1),872(a,1,2))]. 435448 T(x * y,y \ 1) * K(z,u) = T(x * (K(z,u) * y),y \ 1). [para(2145(a,1),1998(a,2,1,2)),rewrite([6268(7),882(7),679(6),3823(4)])]. 435502 (x \ y) \ (a(x,x,y) * z) = a(x,x,y) * ((x \ y) \ z). [para(5076(a,1),1998(a,1,1)),rewrite([7359(10)])]. 435503 (x * y) \ (a(y,y,x) * z) = a(y,y,x) * ((x * y) \ z). [para(5077(a,1),1998(a,1,1)),rewrite([7359(10)])]. 435505 (x \ 1) \ (a(x,y,z) * u) = a(x,y,z) * ((x \ 1) \ u). [para(5306(a,1),1998(a,1,1)),rewrite([7359(13)])]. 435526 (x \ 1) \ (a(y,z,x) * u) = a(y,z,x) * ((x \ 1) \ u). [para(6499(a,1),1998(a,1,1)),rewrite([7359(13)])]. 435725 R(x,y,(z * (u \ T(w,v5))) * v6) = R(x,y,(z * (u \ w)) * v6). [hyper(1468,a,1999,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 435797 R(x,y,z * ((u \ T(w,v5)) * v6)) = R(x,y,(v6 * (u \ w)) * z). [hyper(1468,a,2000,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 435817 a(x,y,z * L(u \ T(w,v5),v6,v7)) = a(x,y,L(u \ w,v6,v7) * z). [para(9235(a,1),2000(a,2,3,1)),rewrite([99341(5),2523(5),2522(9)])]. 435959 ((x \ y) * x) \ ((x \ y) / z) = y \ ((y / x) / z). [hyper(1465,a,2004,a(flip),b,2476,a),rewrite([22(2)]),flip(a)]. 436116 a(x,y,z * (u \ (w \ (v5 / v6)))) = a(x,y,z * (u \ (w \ (v6 \ v5)))). [para(2004(a,1),907(a,1,3,2,2)),rewrite([908(5),96040(13)])]. 436120 a(x,(y * (z \ (u / w))) \ v5,v6) = a(x,(y * (z \ (w \ u))) \ v5,v6). [para(2004(a,1),935(a,1,2,1,2)),rewrite([938(5),938(10)])]. 436334 a(x,(y * ((z * u) \ u)) \ w,v5) = a(x,(y * (u \ (z \ u))) \ w,v5). [back_rewrite(243410),rewrite([436120(10)])]. 436411 R(x,y,z \ ((u * w) \ w)) = R(x,y,z \ (w \ (u \ w))). [para(6375(a,1),2006(a,1,3,2)),rewrite([2006(4),10812(4),7918(9)]),flip(a)]. 436470 (x / y) * L(z,u \ (y \ x),u) = u * ((u \ (x / y)) * z). [hyper(1468,a,2008,a(flip),b,5967,a)]. 436498 L(x,y \ L(1 / z,z,u),w) = L(x,y \ ((z * u) \ u),w). [para(3140(a,2),2008(a,1,2,2)),rewrite([11567(5)])]. 436510 L(x,y \ (T(z,u) \ w),v5) = L(x,y \ (z \ w),v5). [para(2425(a,1),2008(a,2,2,2)),rewrite([762(3),7301(5),2008(3)]),flip(a)]. 436514 L(x,y \ (z \ T(u,w)),v5) = L(x,y \ (z \ u),v5). [para(2051(a,1),2008(a,1,2,2)),rewrite([2008(4),774(7),7301(9)])]. 436525 L(x,y \ ((z * u) \ u),w) = L(x,y \ (u \ (z \ u)),w). [para(6375(a,1),2008(a,1,2,2)),rewrite([2008(4),12283(4),436510(9)]),flip(a)]. 436570 L(x,y \ L(1 / z,z,u),w) = L(x,y \ (u \ (z \ u)),w). [back_rewrite(436498),rewrite([436525(9)])]. 436595 L(x,y,z \ (u \ (w \ ((v5 * v5) \ v6)))) = L(x,y,z \ (u \ (w \ v6))). [para(5873(a,2),2009(a,2,3,2,2)),rewrite([5645(3),183853(6),2009(4),5873(7)]),flip(a)]. 436986 a(x,y,z \ (u \ (T(w,v5) \ v6))) = a(x,y,z \ (u \ (w \ v6))). [para(68261(a,1),2031(a,1,3,2,2)),rewrite([390822(4),679(5),775(6)]),flip(a)]. 437221 (T(T(x,y),z) / u) * K(y,x) = T(T(x,T(z,y)) / u,K(x,y)). [para(2051(a,1),2032(a,1,1)),rewrite([10907(9)])]. 438007 L(x,L(y \ K(z,u),w,v5),v6) = L(x,L(y \ 1,w,v5),v6). [para(2041(a,1),880(a,1,2,1)),rewrite([99393(6),7298(4),7298(8)]),flip(a)]. 438471 a(x \ y,(x \ 1) \ y,z) = a(y * x,(x \ 1) \ y,z). [para(2049(a,1),8301(a,2,1)),rewrite([10142(9),97664(9),900(7),174578(7),7106(7),10142(12),900(12),99293(12)]),flip(a)]. 439050 R(x,y,((z \ T(u,w)) * v5) * v6) = R(x,y,((z \ u) * v5) * v6). [para(2053(a,1),1840(a,1,3,1,1)),rewrite([928(4),928(5),1839(6)]),flip(a)]. 439072 a(x,(y \ T(z,u)) * w,v5) = a(x,(y \ z) * w,v5). [para(2053(a,1),2321(a,1,2,1)),rewrite([928(4),52423(5)]),flip(a)]. 439443 x \ ((T(y,z) \ 1) \ x) = T(x \ ((y \ 1) \ x),z). [hyper(1465,a,2084,a,b,4154,a(flip)),rewrite([12820(8),373(5),20(5),866(6),1694(6),6356(6),9760(5)])]. 440338 a(x * (((y \ 1) * z) * u),w,v5) = a((u * (y * z)) * x,w,v5). [para(2090(a,1),826(a,1,1,2)),rewrite([326689(6)]),flip(a)]. 442779 a(x,y,(z \ 1) * ((u * u) * w)) = a(x,y,(z \ (u * u)) * w). [para(2116(a,2),806(a,1,3,2,1)),rewrite([2116(5),928(6),200845(7),3839(8),96286(8),97420(8),97188(6),682(11),70393(12),96205(12),132293(12)])]. 443026 T(x,y) * ((z \ T(x,y)) \ u) = x * ((z \ x) \ u). [hyper(1468,a,2123,a(flip),b,2427,a)]. 443247 a(x,y,z * ((u \ T(w,v5)) \ v6)) = a(x,y,z * ((u \ w) \ v6)). [para(2123(a,1),796(a,1,3,2)),rewrite([6314(11)])]. 443248 a(x,y,((z \ T(u,w)) \ v5) * v6) = a(x,y,((z \ u) \ v5) * v6). [para(2123(a,1),804(a,1,3,1)),rewrite([763(10),807(11)])]. 443251 L(x,y * ((z \ T(u,w)) \ v5),v6) = L(x,((z \ u) \ v5) * y,v6). [para(2123(a,1),877(a,1,2,2)),rewrite([301(4),289322(10),152177(10)])]. 443607 (x \ (y \ z)) * (K(z,u) * w) = (x \ (y \ T(z,u))) * w. [hyper(1467,a,2124,a(flip),b,3749,a),rewrite([302(7)]),flip(a)]. 443778 L(x,y * (z \ (u \ T(w,v5))),v6) = L(x,y * (z \ (u \ w)),v6). [para(2124(a,1),874(a,1,2,2))]. 443779 L(x,(y \ (z \ T(u,w))) * v5,v6) = L(x,v5 * (y \ (z \ u)),v6). [para(2124(a,1),877(a,1,2,2)),rewrite([302(4),443778(5),443607(9)]),flip(a)]. 444566 ((x \ a(y,z,u)) * x) \ (1 / w) = a(y,z,u) \ (K(x,x \ 1) / w). [hyper(152,a,4442,a(flip),b,2144,a),rewrite([8163(8),11762(7),364320(8)])]. 447394 (x * (1 / T(y,x))) \ T(x,y) = L(y,y \ 1,x). [para(3913(a,1),1351(a,2,1)),rewrite([492(4),927(4),881(3)]),flip(a)]. 447395 (T(x,y) * (1 / y)) \ x = L(T(y,x),y \ 1,x). [para(3913(a,2),1351(a,2,1)),rewrite([492(5),881(5),5788(5)]),flip(a)]. 447894 T(T(x,T(y,z)) * (1 / y),K(x,z)) = x * (1 / T(y,x)). [para(3108(a,1),3913(a,2,2,2)),rewrite([6147(4),1863(6),101097(7),41333(13),132194(12)])]. 448263 x * (K(y,z) * K(z,x * K(u,w))) = (z * x) / T(z,K(u,w) * y). [para(15827(a,2),10791(a,1,2)),rewrite([345864(5)])]. 448324 (T(x,K(y,z)) * u) / T(x,w) = (x * u) / T(x,K(y,z) * w). [para(6316(a,1),10791(a,2,1)),rewrite([1219(7),15294(7),107457(6),448263(6)]),flip(a)]. 450684 a(x,y,z * (u * ((w / u) \ v5))) = a(x,y,z * (u * ((u \ w) \ v5))). [para(5813(a,1),808(a,2,3,2)),rewrite([883(5),795(8),808(6)])]. 450702 R(x,y,((z / u) \ w) * u) = R(x,y,u * ((u \ z) \ w)). [para(5813(a,1),1846(a,1,3)),rewrite([6388(10)]),flip(a)]. 450883 a(x,y,z * (u * ((u \ K(w,v5)) \ v6))) = a(x,y,z * ((u * u) * v6)). [back_rewrite(201078),rewrite([450684(6)])]. 450885 R(x,y,z * ((z \ 1) \ u)) = R(x,y,(z * z) * u). [back_rewrite(201107),rewrite([450702(5)])]. 450913 T(T(x,x \ y),z) \ ((T(x,z) \ y) \ u) = x \ ((y / x) \ u). [hyper(507,a,2425,a,b,3484,a),rewrite([11266(5),10407(7)]),flip(a)]. 451014 T(x,x \ y) \ ((z / ((x \ y) \ y)) \ u) = x \ ((z / x) \ u). [para(5669(a,1),3484(a,2,2,1)),rewrite([1557(6),2293(6),10407(5),450913(9)]),flip(a)]. 451213 a((((x / y) \ z) \ u) * w,v5,v6) = a((((y \ x) \ z) \ u) * w,v5,v6). [para(3484(a,1),1594(a,1,1,1,1,1)),rewrite([284500(9),7142(7)])]. 451630 K(x,y * z) * (y / (z * y)) = y / T(z * y,x). [hyper(1467,a,482,a(flip),b,3016,a)]. 454062 T(x,x \ 1) \ L(T(x,y),z,u) = (x \ 1) * L(T(x,y),z,u). [para(4211(a,1),14425(a,1,1,2)),rewrite([202(7),2794(4),4211(7),3648(9),38350(8),2310(7),2145(12),174(10)])]. 454478 x * (L(x,y,z) * (T(x,u) \ w)) = L(x,y,z) * (K(u,x) * w). [hyper(1468,a,2973,a(flip),b,3465,a),rewrite([66494(7),364841(6)])]. 455752 L(x \ 1,x,y) \ ((z * z) \ y) = T(((z * z) \ y) * x,x \ 1). [hyper(152,a,5873,a,b,3823,a),rewrite([3389(6),5873(6)])]. 455763 L(x \ 1,x,y) \ (y \ 1) = T((y \ 1) * x,x \ 1). [hyper(1466,a,3823,a(flip),b,1493,a),rewrite([1105(8),435448(8),8026(5),99974(11)]),flip(a)]. 455857 a(((x \ (y / z)) * u) * w,v5,v6) = a(((x \ (z \ y)) * u) * w,v5,v6). [para(3823(a,1),837(a,1,1,1)),rewrite([845(8),921(10),3823(13),845(13)])]. 455901 L(x,L(y \ 1,y,z),y \ z) = L(x,L(y \ 1,y,z),z * y). [para(3823(a,1),8303(a,1,3)),rewrite([927(8),11885(13),331038(11)]),flip(a)]. 457815 L(x,y \ ((z \ 1) \ y),y \ (z \ y)) = L(x,z,z). [para(3829(a,2),8040(a,1,3,2)),rewrite([78438(9),919(9),3264(9),922(7),6402(5),10648(5),8538(5),5524(10),6103(10),4846(10),6402(8),10648(8)]),flip(a)]. 458897 ((((x \ y) / y) * x) \ z) * (((x \ y) / y) * x) = z. [para(5311(a,2),9691(a,1,2,2)),rewrite([41(7),20(2)]),flip(a)]. 459470 a(x,y \ ((y \ z) \ y),u) = a(x,z \ y,u). [para(4149(a,1),818(a,2,2)),rewrite([818(4),6398(4),10277(4),10179(8),492(6)])]. 459483 L(x,y \ ((y \ z) \ y),u) = L(x,z \ y,u). [para(4149(a,1),881(a,2,2)),rewrite([881(4),6402(4),10648(4),2008(8),492(6)])]. 460058 (x * R(x \ y,z,u)) * (x \ K(w,v5)) = R(y * (x \ K(w,v5)),z,u). [hyper(507,a,94046,a,b,5468,a),rewrite([1104(8),131549(8),749(8),94046(11),4953(8),770(6),682(5),2141(4)]),flip(a)]. 460106 R(x,y,L(z * (u \ K(w,v5)),v6,v7)) = R(x,y,L(z * (u \ 1),v6,v7)). [para(5468(a,2),1839(a,1,3)),rewrite([460058(6),7328(5),1104(10),131549(10),749(10),7328(12),7123(12)])]. 460138 L(x,y,L(z * (u \ 1),w,v5)) = L(x,y,L(u * z,w,v5)). [para(5468(a,2),2386(a,1,3)),rewrite([319939(7),6451(4),22(2),2535(3),2366(8),2362(7),2535(8)]),flip(a)]. 460331 a(x \ (y * (z \ (u / w))),v5,v6) = a(x \ (y * (z \ (w \ u))),v5,v6). [para(5809(a,1),839(a,1,1,2)),rewrite([2006(9),5809(11)])]. 460374 L(x,y,z * (u \ (w * w))) = L(x,y,u * z). [para(5809(a,1),3501(a,1,3)),rewrite([2535(9),3501(8),7684(7),153173(7)])]. 460518 L(x,y,L(z / u,u,z \ w) \ w) = L(x,y,(z \ w) * u). [para(5809(a,1),4847(a,1,3)),rewrite([183818(5),4842(10),4847(8)]),flip(a)]. 460627 a(x,x \ y,y \ x) \ 1 = (x \ y) * (y \ x). [hyper(152,a,9357,a(flip),b,5805,a),rewrite([246779(5)])]. 462258 ((x \ y) * x) * (K(y,z) * u) = K(x \ y,x) * (T(y,z) * u). [para(12669(a,1),6840(a,1,2))]. 463097 (x * ((y * x) \ y)) / L(1 / x,x,y) = 1 / (1 / x). [para(6882(a,1),166(a,1,2)),rewrite([21(11),5791(10),372(8),1473(11)])]. 463111 L(L(1 / x,y,z) \ 1,L(x \ 1,y,z),x) = 1 / L(1 / x,y,z). [para(14423(a,2),6882(a,1,1,2,1)),rewrite([14423(8),6072(8),754(9),20(5),231412(7),865(5),2457(10)]),flip(a)]. 463171 a(x,y,y \ 1) \ (1 / (1 / y)) = L(y,y \ 1,x * y). [para(6882(a,1),6248(a,1,1,2)),rewrite([463097(7),55851(8),21(12),250879(12)])]. 466127 L((x \ y) \ y,x \ z,x * z) = (1 / (z / T(x,x \ y))) * z. [hyper(1468,a,5929,a(flip),b,3275,a),rewrite([919(15),5790(15),881(13),5788(13),81843(11)]),flip(a)]. 468010 (T(x,y) \ z) * (T((x \ z) \ z,y) * u) = (z / x) * (x * u). [para(3176(a,1),5867(a,1,2,2)),rewrite([5790(6),883(5),882(4),8303(2),13177(3),3176(8)]),flip(a)]. 468635 T(x,y * (z \ (R(u,w,v5) \ v6))) = T(x,y * (z \ (u \ v6))). [para(5550(a,1),13699(a,1,2,1)),rewrite([227543(7),238184(7),227574(6),227569(6),13699(5),7131(4),12164(9)]),flip(a)]. 468731 (T(x,y) / y) * (T(y,x) * z) = (x / y) * (y * z). [hyper(507,a,4059,a,b,3124,a),rewrite([741(11),3176(10),468010(12)])]. 468785 K(x,T(y / (z * u),w * z)) = K(x,T(z \ (y / u),w)). [para(3124(a,2),12984(a,1,2,2)),rewrite([3124(7),7131(6),21(4),12040(5),12984(5),206097(4),12663(9)]),flip(a)]. 469075 a(x,x,y) * (z * L(y,x,x)) = z * y. [para(12737(a,2),3124(a,2,2)),rewrite([5279(6),303(4),10203(5),9236(4),7242(4),299(6),397851(11)])]. 470960 (x * a(y,z,u)) / T(w \ 1,w * x) = (w \ 1) \ (a(y,z,u) * x). [hyper(1466,a,289,a(flip),b,10732,a),rewrite([27267(8),682(7),6169(10),155(9)])]. 472104 (((x * y) / x) * z) / ((x * y) / x) = (T(y,x) * z) / T(y,x). [hyper(1465,a,12327,a(flip),b,209,a(flip)),rewrite([52352(6),683(7),108062(5),861(3),3128(4),3025(5)]),flip(a)]. 472737 (x * y) \ ((a(z,u,w) * y) * x) = L(a(z,u,w) * K(y,x),y,x). [para(280(a,2),5831(a,2,2,1)),rewrite([5270(4)]),flip(a)]. 473231 L(x,y * (z * L(u,u,z)),w) = L(x,y * ((u \ 1) \ z),w). [para(2684(a,1),878(a,1,2,2)),rewrite([878(5),332262(3),8630(4),7494(10),11037(9)])]. 473863 a(x,y,z * (u * (w \ L(v5,v6,v5)))) = a(x,y,((w \ v5) * u) * z). [para(2685(a,1),1991(a,2,3,2,2)),rewrite([2366(5),2365(6),2365(7),2376(8),300983(6)]),flip(a)]. 474524 L(x,y,x) * (z \ x) = x * (z \ L(x,y,x)). [para(2685(a,1),2689(a,1,2)),flip(a)]. 476219 K(x,T(y \ (x / z),u)) = K(x,T(y \ (z \ x),u)). [para(4770(a,1),2890(a,1,2,1)),rewrite([2890(4),12040(4),161199(11),12040(11),289493(11),139545(10),12662(9),206097(8)]),flip(a)]. 479740 R(x,y,(z \ ((z \ u) \ z)) * w) = R(x,y,(u \ z) * w). [para(3058(a,1),1844(a,1,3,1)),rewrite([1844(5),362551(5),96816(10)])]. 479963 L(((1 / x) \ T(x,y)) \ z,x * x,x) = x \ ((1 / T(x,y)) * z). [para(3066(a,1),5823(a,1,1,1)),rewrite([3066(9),919(13),3264(13),927(11),6503(10),903(9),244407(9),373(7)])]. 479964 T(x,y) \ ((1 / x) * z) = x \ ((1 / T(x,y)) * z). [para(3066(a,2),5823(a,1,1,1)),rewrite([3066(4),919(12),3264(12),6503(10),903(9),244407(9),373(7),479963(7)]),flip(a)]. 481893 (x \ (y \ (z \ y))) * T(y,z \ 1) = (x \ ((z \ y) / y)) * y. [para(3115(a,1),5804(a,1,2)),rewrite([1860(7),7915(6)]),flip(a)]. 482018 T(K(x,y) * K(z \ 1,y),z) = T(T(y,z \ 1),x) \ y. [para(3115(a,1),10062(a,1,2,1)),rewrite([391(8),1787(9),19(7),1787(13),19(11),102646(11),1577(11),979(10),167623(11),979(9)]),flip(a)]. 483117 ((T(x,y) \ z) * u) \ x = ((x \ z) * u) \ T(x,y). [para(3167(a,1),3869(a,1,1,2)),rewrite([5790(7),3869(6)]),flip(a)]. 484693 a(x,y,z * (u \ L(w,u,u))) = a(x,y,z * ((u \ 1) * w)). [para(3431(a,1),873(a,2,3,2)),rewrite([242378(3),786(4),4985(4),873(10),96275(10)])]. 484729 R(x,y,z * ((z * z) \ u)) = R(x,y,(z \ 1) * u). [para(3431(a,1),1846(a,1,3)),rewrite([1844(5),151826(5)]),flip(a)]. 485380 (K(x * y,x) / x) * (y * x) = R(T(y,x * x),x,x). [para(980(a,1),3436(a,2,1,1)),rewrite([5876(3),71268(4)]),flip(a)]. 485456 R(T(x,y * y),y,y) * y = R(T(x * y,y * y),y,y). [para(5711(a,1),3436(a,1,1)),rewrite([980(7),485380(11)])]. 485701 ((x * L(L(x,y,z),y,z)) \ u) * L(x,y,z) = (1 / L(x,y,z)) * T(u,x). [para(3436(a,1),18632(a,1,1)),rewrite([305(2),9130(7),5791(9),12185(8),28776(9),28776(8),749(8),1742(8),991(7),22(6),749(6),154539(6),155(5),9130(8)]),flip(a)]. 485873 ((1 / x) \ (y / x)) \ (y / x) = T(1 / x,y). [hyper(152,a,521,a(flip),b,3664,a),rewrite([2316(4)]),flip(a)]. 486316 L(x,(y \ 1) \ z,y * z) = L(x,y * z,y * z). [para(3664(a,2),9463(a,1,3,2)),rewrite([5787(9),889(7),7107(7),903(5),6051(12),4679(12),903(10),7892(10)])]. 486998 (x / y) / T(y \ 1,x) = (y \ 1) \ (x / y). [para(203(a,2),3681(a,1,2,2)),rewrite([203(6),521(6),1955(5)])]. 487415 (x \ 1) * (x \ (x / y)) = (x \ 1) / y. [hyper(1468,a,2621,a(flip),b,3682,a(flip)),rewrite([9428(6),20(2),20(2),11587(9),3360(8),350537(8),1098(7),11340(8)])]. 487711 ((x \ 1) \ y) \ L(y,z,x) = T(R(x,z,y) \ 1,x * y). [para(9362(a,1),3682(a,1,2)),rewrite([429334(10)]),flip(a)]. 487797 (((x \ y) / y) * x) \ x = ((x \ y) / y) \ 1. [para(5311(a,2),3682(a,1,2)),rewrite([300(7),11724(9)]),flip(a)]. 489627 x / (y * (a(z,u,w) * K(v5,y))) = (x / (a(z,u,w) * y)) * K(y,v5). [para(289(a,1),3835(a,1,2)),rewrite([5300(5),682(4),5271(11)])]. 489660 x / (y * (a(z,u,w) \ K(v5,y))) = (x / (a(z,u,w) \ y)) * K(y,v5). [para(5285(a,1),3835(a,1,2,2)),rewrite([8163(4),5301(11)])]. 491115 (x * ((y * z) \ y)) / L(1 / z,z,y) = x * K(z \ 1,z). [para(6882(a,1),3857(a,1,2)),rewrite([5791(10),372(8)])]. 491400 ((x / y) \ 1) * T(y,y \ x) = ((y \ x) \ 1) * y. [para(503(a,1),3860(a,1,1,1)),rewrite([869(9)]),flip(a)]. 491943 (((T(x,y) \ 1) * y) * z) \ ((x \ 1) * u) = ((y * x) * z) \ (x * u). [para(3860(a,2),6908(a,2,1,1)),rewrite([3264(6),883(4),3580(3),5787(9),4676(8),123866(6)]),flip(a)]. 492155 (a(x,y,z) / x) \ 1 = a(x,y,z) \ x. [para(3881(a,1),915(a,2,1)),rewrite([3264(6),4973(4),13515(4),13578(3)]),flip(a)]. 492252 (1 / x) * (R(x,y,z) * (x \ u)) = (a(x,y,z) / x) * u. [para(3882(a,1),3516(a,2,1)),rewrite([1848(4),13307(4),9855(4),242011(6),9434(5)])]. 493024 (x \ y) * T(y / x,y \ x) = (x \ y) / ((y / x) \ 1). [para(18536(a,1),3918(a,1,2)),rewrite([106367(7),347890(5),4324(4)])]. 494849 a(x,(y \ (T(z,u) \ w)) \ v5,v6) = a(x,(y \ (z \ w)) \ v5,v6). [para(3947(a,2),936(a,1,2,1)),rewrite([11900(8),403191(12),938(13),22(11)])]. 499058 x \ (y * (a(z,u,w) \ (y \ x))) = L(a(z,u,w) \ 1,y \ x,y). [para(4191(a,1),5637(a,1,1)),rewrite([8199(10)]),flip(a)]. 499574 T(x \ 1,x \ y) \ K(x \ 1,y) = L(x \ 1,y,x) \ 1. [para(4215(a,2),10429(a,2,1,1)),rewrite([21(11),2020(10),3354(8),1097(8),175200(9),2023(16),127883(14),134454(14)])]. 501450 (x \ y) * (((y / x) \ 1) \ 1) = (x \ y) / ((y / x) \ 1). [para(4325(a,1),16800(a,1,1)),rewrite([144710(7),493024(12)])]. 501821 L(x,y * L(y,z,u),a(y,z,u)) = x. [para(4453(a,1),8040(a,1,3,2)),rewrite([921(7),4677(7),9234(4),8632(4),2568(9),8881(9),8632(8),13218(8)])]. 502135 x * (y * L(y \ (x \ 1),z,u)) = a(u,z,(x * y) \ 1) \ 1. [para(18608(a,2),4554(a,1,1)),rewrite([18608(7),11337(10),391(5),55301(6),246827(14)])]. 502306 L(x,y,a(z,u,w \ 1)) = L(x,y,a(z,u,w)). [para(14423(a,2),4676(a,2,3)),rewrite([8881(7),14423(9),11885(9),1708(6),8881(7)])]. 502540 L(x,y,z * (u \ (w \ 1))) = L(x,y,(u \ w) * z). [para(5809(a,1),4677(a,1,3)),rewrite([4842(12),4677(10),460518(10)])]. 502550 a(x \ (y * (z \ (u \ 1))),w,v5) = a(x \ ((z \ u) * y),w,v5). [back_rewrite(5106),rewrite([502540(5),98384(7)]),flip(a)]. 502708 a(x \ (a(y,z,u) \ w),v5,v6) = a(x \ (w * a(y,z,u)),v5,v6). [para(292(a,1),4695(a,2,1)),rewrite([9035(4),4848(6)])]. 503701 a((x * (y \ 1)) \ z,u,w) = a((y * x) \ z,u,w). [para(5809(a,1),4738(a,1,1,1)),rewrite([4843(11),3264(9),7930(9),207519(9)])]. 503859 a(x,L(y,z,u),L(L(y,w,v5),z,u)) = a(x,y,L(y,w,v5)). [para(35(a,1),4786(a,2,3)),rewrite([4786(4),8528(4)]),flip(a)]. 503873 a(x,(y \ 1) * z,y \ z) = a(x,y \ z,y \ z). [para(3277(a,1),4786(a,1,2)),rewrite([2332(5),3277(8),785(10),81612(10)])]. 503927 L(x,L(y \ 1,z,u),y) = L(x,y \ 1,L(y,z,u)). [hyper(152,a,3264,a(flip),b,4816,a),rewrite([4628(10)])]. 503953 L(x,y * z,y \ z) = L(x,y * z,y * z). [para(18426(a,1),4816(a,1,2)),rewrite([6051(9),4679(9),6909(7),492(4),18426(12),1504(12),492(10),903(8),486316(8)])]. 503961 L(L(1 / x,y,z) \ 1,x \ 1,L(x,y,z)) = 1 / L(1 / x,y,z). [back_rewrite(463111),rewrite([503927(9)])]. 504600 T((x * x) \ y,x \ 1) = x \ (y * (1 / x)). [hyper(4954,a,5876,a(flip),b,3508,a),rewrite([1098(5)])]. 504604 x * R(T(y,x * x),x,x) = T(L(y,x,x) * x,x). [hyper(4954,a,5800,a(flip),b,5720,a),rewrite([32(6)]),flip(a)]. 505619 R(x,y,z) * a(z,y,a(x,x,u)) = R(x,y,L(z,x,u)). [hyper(1832,a,4973,a,b,13214,a),rewrite([9235(2),4973(4),2839(5),122840(5),13307(6),9235(7)])]. 505641 L(x,x,a(y,z,u)) * a(x,z,y) = R(x,z,L(y,x,u)). [hyper(1832,a,4973,a(flip),b,13214,a),rewrite([9238(2),2839(5),122840(5),505619(4),5238(4),9109(4)]),flip(a)]. 507199 ((x * (y * z)) \ u) * K(y,z) = T((x * (z * y)) \ u,K(z,y)). [para(49215(a,1),77338(a,1,2)),rewrite([365(9),2279(7),304540(6),749(11),2315(11)])]. 507704 L(x,y,z \ (u \ (w * T(v5,v6)))) = L(x,y,z \ (u \ (w * v5))). [para(101365(a,1),2010(a,1,3,2,2)),rewrite([2010(7),11466(6)]),flip(a)]. 508812 T(((x * (a(y,z,u) \ w)) / x) * a(y,z,u),v5) = T((x * w) / x,v5). [para(4077(a,2),27393(a,1,2)),rewrite([36964(5),474(5),5301(4),5285(5),2299(5),14059(4)]),flip(a)]. 509352 (x / (x / y)) * R(y \ x,z,u) = R(y \ x,z,u) * y. [para(1498(a,2),30655(a,1,2)),rewrite([12612(3),864(2),492(6),5710(5),3485(6),769(5),174(4),4953(4),32(8),503(7)]),flip(a)]. 512465 a(x,y,L(z,u,w)) \ L(z * a(x,y,z),u,w) = L(z,u,w). [para(43354(a,1),4128(a,1,1,2)),rewrite([8959(4),299(6),3569(13),3569(12),8871(11),6496(10),42997(11)])]. 513084 (x * (y * z)) / T(x * z,y) = L(T(y,T(z,x)),z,x). [para(4166(a,1),35975(a,1,1)),rewrite([27(8),306(7),3025(7),27(9),14171(9),31(8)])]. 513606 x * ((y \ L(z,u,w)) \ L(z,u,w)) = x * ((y \ z) \ z). [para(298(a,1),74776(a,1,2,2)),rewrite([5253(3),74776(5)]),flip(a)]. 513682 (x / y) * ((x \ y) \ y) = x / T(x \ y,y). [para(2546(a,1),74776(a,1,2)),rewrite([3618(5),10503(5),244475(4)]),flip(a)]. 516791 T((x \ ((1 / x) \ y)) \ z,y \ z) = (y * a(x,x,y)) \ z. [para(4946(a,2),36548(a,1,1,1)),rewrite([6569(8),5277(9)])]. 516810 (x * a(y,y,x)) \ z = x \ (a(y,y,x) \ z). [para(12737(a,2),36548(a,1,1,1)),rewrite([5277(9),516791(7),36514(6)])]. 519413 a(x,y,z) * a(u,w,a(x,y,z)) = a(x,y,L(z,w,u)). [hyper(1832,a,9357,a,b,51672,a),rewrite([13134(3),246838(5),13386(9),19(8)])]. 519414 a(x,y,z) * a(u,w,a(z,y,x)) = a(x,y,L(z,w,u)). [hyper(1832,a,9339,a,b,51672,a),rewrite([8104(4),19(3),246838(5),2457(10),299(7),13271(10),20(8)])]. 519453 a(x,y,a(z,u,w)) * a(z,u,w) = a(z,u,L(w,y,x)). [hyper(1832,a,4554,a,b,51672,a),rewrite([13134(3),4554(6),13127(5),13386(9),19(8)])]. 519634 a(x,y,a(z * u,z,u)) = a(u,y,a(x,z,z)). [hyper(1468,a,85743,a,b,51672,a),rewrite([8871(4),299(5),8866(5),85743(14),13272(8),27655(6),203892(3)]),flip(a)]. 520216 (1 / (1 / x)) * a(y,z,x) = a(y,z,x) / (1 / x). [para(51672(a,1),4131(a,1,1,1,2)),rewrite([303(2),250037(5),250037(12),266209(12)])]. 520233 x * ((L(x,y,z) \ 1) * x) = a(z,y,x) / (1 / x). [back_rewrite(250382),rewrite([520216(6)]),flip(a)]. 520666 a(x,x,y) * ((x \ z) * z) = R((x \ z) * z,x,y). [hyper(1467,a,56607,a(flip),b,13446,a)]. 520689 a(x \ y,y * x,z) = a(y * x,y * x,z). [para(1351(a,2),56607(a,1,1,1)),rewrite([10134(6),4851(4)])]. 520722 a((x \ y) * y,(x \ y) * y,z) = a(x,(x \ y) * y,z). [para(7093(a,2),56607(a,1,1,1)),rewrite([171(3),2332(6),848(6),22(2),2332(8),832(8)]),flip(a)]. 520810 (L(x,y,z) / (z * (y * x))) * (z * y) = a(z * y,z * y,x). [back_rewrite(79381),rewrite([520689(9)])]. 522960 (x \ y) \ (a(y,x,x) * z) = a(y,x,x) * ((x \ y) \ z). [para(92926(a,1),1998(a,1,1)),rewrite([7359(10)])]. 523468 (x / y) * (L(y \ x,z,u) \ y) = L(y \ x,z,u) \ x. [para(26028(a,1),2200(a,2,2)),rewrite([5244(9),2200(7),7427(5),2834(5),231431(5)]),flip(a)]. 523657 R(T(x,y),z,u) * ((x * w) / v5) = R(x,z,u) * ((T(x,y) * w) / v5). [hyper(1468,a,2201,a(flip),b,69269,a)]. 524036 (T(x,y) * z) \ ((T(x,y) * u) / w) = (x * z) \ ((x * u) / w). [para(2201(a,1),1501(a,1,2)),flip(a)]. 524186 (x * (y \ 1)) \ ((x * (y \ 1)) / y) = L(y \ 1,y,x). [back_rewrite(394147),rewrite([524036(10)])]. 524225 L(x,y,z \ (u \ ((w / v5) * v6))) = L(x,y,z \ (u \ ((v5 \ w) * v6))). [para(503(a,1),2202(a,1,3,2,2,1)),flip(a)]. 524240 L(x,y,z \ (u \ (((w * w) \ v5) * v6))) = L(x,y,z \ (u \ (v5 * v6))). [para(29085(a,1),2202(a,1,3,2,2,1)),rewrite([102030(5),101995(6),679(7),884(8),2202(5),14(9),153857(12),524225(10)]),flip(a)]. 524263 L(x,y,z \ (u \ ((T(w,v5) \ 1) * v5))) = L(x,y,z \ (u \ (v5 * w))). [para(3431(a,1),2202(a,2,3,2,2)),rewrite([2202(7),524240(6),524225(11)]),flip(a)]. 524265 L(x,y,z \ (u \ ((w \ 1) * v5))) = L(x,y,z \ (u \ (v5 * w))). [para(3860(a,1),2202(a,2,3,2,2)),rewrite([2202(8),524263(7),507704(11)]),flip(a)]. 524812 x * (a(y,z,u) * L(w,a(y,z,u),x)) = (a(y,z,u) * x) * w. [hyper(1465,a,289,a(flip),b,2204,a),rewrite([5238(6),3514(7),6563(6),5219(5),8157(4),6547(5),13466(5),8468(4)])]. 524952 a(x,x,(y * z) * x) = a(x,x,z * (y * x)). [para(2204(a,1),5221(a,1,3)),rewrite([2523(4),2463(3),10838(4)]),flip(a)]. 524963 L(x,(y * z) * u,x) = L(x,z * (y * u),x). [para(2204(a,1),5552(a,1,2)),rewrite([8632(4),2463(3),12045(4)]),flip(a)]. 524970 a((x * y) * z,y,y) = a(y * (x * z),y,y). [para(2204(a,1),12533(a,1,1)),rewrite([2525(4),2463(3),10140(4)]),flip(a)]. 524971 a(x * (y \ z),z,z) = a(x * (y * z),z,z). [para(2204(a,1),12540(a,1,1)),rewrite([2525(4),2463(3),10140(4),11506(6)]),flip(a)]. 524974 L(x,x,(y * z) * x) = L(x,x,z * (y * x)). [para(2204(a,1),12550(a,1,3)),rewrite([2568(4),2463(3),9635(4)]),flip(a)]. 525006 L(x,x,y * L(x \ z,x,y)) = L(x,x,z * (y * x)). [back_rewrite(396970),rewrite([524974(7)])]. 525009 L(x,x,(x * y) * (z * x)) = L(x,x,z * L(y,x,z)). [back_rewrite(396915),rewrite([524974(4)])]. 525183 L(x,x,(x * y) * z) = L(x,x,x * (y * z)). [para(2205(a,1),12541(a,1,3)),rewrite([2568(4),3514(3)]),flip(a)]. 525207 L(x,x,y * L(z,x,y)) = L(x,x,x * (z * (y * x))). [back_rewrite(525009),rewrite([525183(4)]),flip(a)]. 525209 L(x,x,L(y,z,z) * x) = L(x,x,x * y). [back_rewrite(299026),rewrite([525183(4),123889(4)])]. 526808 T(x,(y \ (z \ (u \ w))) * K(u,v5)) = T(x,y \ (z \ (T(u,v5) \ w))). [para(434(a,1),2262(a,1,2,2,2)),rewrite([6238(7),356274(6),1863(6),679(7),5248(8),161527(8),1565(8),356405(8),157212(6),162132(6),679(9),679(10)]),flip(a)]. 527927 a(x,L(T(y,z) \ u,w,v5),v6) = a(x,L(y \ u,w,v5),v6). [para(2192(a,1),2318(a,1,2,1)),flip(a)]. 527940 a(x,L(y \ T(z,u),w,v5),v6) = a(x,L(y \ z,w,v5),v6). [para(2028(a,1),2318(a,1,2,1)),rewrite([2320(3),2320(7)]),flip(a)]. 528113 a(x,(y * L(T(z,u),w,v5)) * v6,v7) = a(x,(y * L(z,w,v5)) * v6,v7). [para(31(a,1),2322(a,1,2,1,2))]. 528114 a(x,(y * R(T(z,u),w,v5)) * v6,v7) = a(x,(y * R(z,w,v5)) * v6,v7). [para(32(a,1),2322(a,1,2,1,2))]. 528150 a(x,(((y \ z) \ z) * u) * w,v5) = a(x,(y * u) * w,v5). [para(5671(a,1),2322(a,1,2,1)),rewrite([2322(6),2331(10)])]. 528154 a(x,(y * (T(z,u) \ w)) * v5,v6) = a(x,(y * (z \ w)) * v5,v6). [para(68261(a,1),2322(a,1,2,1,2)),rewrite([390892(5),97545(6)]),flip(a)]. 528168 a(x,((T(y,z) \ u) * w) * v5,v6) = a(x,(w * (y \ u)) * v5,v6). [para(906(a,1),2322(a,1,2,1)),rewrite([928(5),52423(6)]),flip(a)]. 528194 a(x,(y * R(z,u,w)) * v5,v6) = a(x,(y * L(z,u,w)) * v5,v6). [para(9975(a,1),2322(a,1,2,1)),rewrite([528114(6),2331(5),853(6),5947(12),403670(12),10228(9),174(8),272(8),749(8),2321(10)])]. 528195 a(x,(y * L(z,u,z)) * w,v5) = a(x,(y * z) * w,v5). [para(4231(a,1),2322(a,1,2,1,2)),rewrite([2323(9),21(6)])]. 528209 a(x,(y \ ((1 / y) \ z)) * u,w) = a(x,z * (u * a(y,y,z)),w). [para(12737(a,2),2322(a,1,2,1)),rewrite([232249(5),2321(7),814(8),17583(9)])]. 528255 a(x,y * ((z / u) * w),v5) = a(x,y * ((u \ z) * w),v5). [para(3514(a,1),2323(a,1,2)),rewrite([881(8),3514(9)])]. 528285 a(x,(y * ((z * u) \ u)) * w,v5) = a(x,(y * (u \ (u / z))) * w,v5). [para(6375(a,1),2323(a,1,2,1,2)),rewrite([2323(5),528154(11)]),flip(a)]. 528291 a(x,(y * (z \ (y \ z))) * u,w) = a(x,a(y,y \ 1,z) * u,w). [para(5313(a,1),2323(a,1,2,1)),flip(a)]. 528310 a(x,(y \ (T(z,u) * w)) * v5,v6) = a(x,(y \ (z * w)) * v5,v6). [para(2203(a,1),2323(a,1,2,1)),rewrite([2332(5),928(10),52423(11)])]. 528321 R(x,(y \ (z / u)) * w,v5) = R(x,(y \ (u \ z)) * w,v5). [hyper(1468,a,2324,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 528339 a(x,(y \ L(T(z,u),w,v5)) * v6,v7) = a(x,(y \ L(z,w,v5)) * v6,v7). [para(10987(a,1),2324(a,1,2,1,2)),rewrite([439072(8),2324(7),27(4),27(9)]),flip(a)]. 528343 a(x,(y \ (T(z,u) \ w)) * v5,v6) = a(x,(y \ (z \ w)) * v5,v6). [para(2425(a,1),2324(a,2,2,1,2)),rewrite([762(3),7375(6),2324(4)]),flip(a)]. 528379 a(x,(y * (z \ (u / w))) * v5,v6) = a(x,(y * (z \ (w \ u))) * v5,v6). [para(5809(a,1),2324(a,1,2,1)),rewrite([2006(9),5809(11)])]. 528386 a(x,(y * ((z * u) \ u)) * w,v5) = a(x,(y * (u \ (z \ u))) * w,v5). [back_rewrite(528285),rewrite([528379(10)])]. 528452 a(x,y * (a(z,z,u) * u),w) = a(x,y * L(u,z,z),w). [para(12737(a,1),2325(a,2,2,2)),rewrite([2325(6),8634(6)]),flip(a)]. 528479 a(x,y * (z * (K(u,w) * v5)),v6) = a(x,(z * v5) * y,v6). [para(1104(a,1),2326(a,2,2,2,2)),rewrite([1105(2),134841(5)]),flip(a)]. 528486 a(x,y * (z * L(T(u,w),v5,v6)),v7) = a(x,(z * L(u,v5,v6)) * y,v7). [para(10987(a,1),2326(a,1,2,2,2)),rewrite([134842(8),2323(7),27(4),27(9)]),flip(a)]. 528495 a(x,y * (z * (u \ T(w,v5))),v6) = a(x,(z * (u \ w)) * y,v6). [para(2051(a,1),2326(a,1,2,2,2)),rewrite([2326(5),774(8),528479(11)])]. 528523 a(x,y * (z * (u \ (z \ u))),w) = a(x,y * a(z,z \ 1,u),w). [para(5313(a,1),2326(a,1,2,2)),flip(a)]. 528541 a(x,y * (L(T(z,u),w,v5) * v6),v7) = a(x,y * (L(z,w,v5) * v6),v7). [para(31(a,1),2327(a,1,2,2,1))]. 528579 a(x,y * ((T(z,u) \ w) * v5),v6) = a(x,((z \ w) * v5) * y,v6). [para(68261(a,1),2327(a,1,2,2,1)),rewrite([154625(4),528479(6)]),flip(a)]. 528582 a(x,y * ((z * T(u,w)) * v5),v6) = a(x,((z * u) * v5) * y,v6). [para(757(a,1),2327(a,2,2,2)),rewrite([528479(7),2331(5)]),flip(a)]. 528634 a(x,a(y,z,u \ 1) * w,v5) = a(x,w * a(u,z,y),v5). [para(42601(a,1),2327(a,2,2,2)),rewrite([248655(5),5945(7),528486(7),9427(5),97527(5)])]. 528642 a(x,y * (((z * z) \ u) * z),w) = a(x,((z \ 1) * u) * y,w). [para(3431(a,1),2327(a,2,2,2)),rewrite([2327(6),528255(11),528579(11)])]. 528645 a(x,((T(y,z) * u) * w) * v5,v6) = a(x,v5 * ((u * y) * w),v6). [para(109728(a,1),2327(a,1,2,2,1)),rewrite([528582(7),928(9),97545(11)])]. 528681 a(x,y * ((z * u) \ u),w) = a(x,y * (u \ (z \ u)),w). [para(3036(a,1),2328(a,1,2,2)),rewrite([7953(8)])]. 528713 a(x,a(y,y \ 1,z),u) = a(x,a(y,y,z),u). [back_rewrite(134814),rewrite([528681(4),403688(4)])]. 528722 a(x,y * (z \ (y \ z)),u) = a(x,a(y,y,z),u). [back_rewrite(403688),rewrite([528713(8)])]. 528729 a(x,(y \ (z \ y)) * z,u) = a(x,a(z,z,y),u). [back_rewrite(335446),rewrite([528713(8)])]. 528834 a(x,(L(y,z,y) * u) * w,v5) = a(x,(y * u) * w,v5). [para(3742(a,1),2331(a,1,2,1,1)),rewrite([5947(4),763(8),9899(9),52423(10)])]. 528918 a(x,((y \ K(z,u)) \ w) * v5,v6) = a(x,((y \ 1) \ w) * v5,v6). [para(1485(a,1),2332(a,2,2,1)),rewrite([762(5),928(6),528255(7),52423(7),152151(5),152151(10)]),flip(a)]. 529901 (a(x,y,x \ 1) \ z) * u = z * (a(x,y,x \ 1) \ u). [para(3266(a,1),2364(a,1,1,1)),rewrite([202246(10),19(7)])]. 530173 (x * (a(y,z,y \ 1) \ u)) * w = (x * u) * (a(y,z,y \ 1) \ w). [para(3266(a,1),2365(a,1,1,2,1)),rewrite([202246(12),19(9)])]. 530291 a(x,y,x \ 1) \ (z * u) = z * (a(x,y,x \ 1) \ u). [para(3266(a,1),2366(a,1,1)),rewrite([202246(10),19(7)])]. 530924 a(x,y,z * (L(u,w,u) \ v5)) = a(x,y,z * (u \ v5)). [para(2446(a,1),2376(a,1,3,2)),rewrite([786(4),10837(4),786(7)])]. 530969 L(x,y,z * ((u * w) * u)) = L(x,y,z * (u * (w * u))). [para(2205(a,1),2379(a,1,3,2)),rewrite([2570(5),3514(3)]),flip(a)]. 531147 a(x,y,x) * (z * (u / x)) = z * (u / L(x,y,x)). [para(2646(a,1),2380(a,2,2))]. 531296 a(x * L(L(y,z,u),w,y),v5,v6) = a(x * L(y,z,u),v5,v6). [para(275(a,1),2384(a,2,1)),rewrite([2865(3),9622(4)])]. 531461 a(x,y,x) * ((z \ 1) / u) = (z \ a(x,y,x)) / u. [para(4356(a,2),2387(a,1,1)),rewrite([4356(5),2367(4)]),flip(a)]. 531478 a(x,y,x) * ((1 / z) / u) = (a(x,y,x) / z) / u. [para(5193(a,2),2387(a,2,2)),rewrite([198100(4),5193(7)]),flip(a)]. 531563 (x \ 1) * (x \ a(y,z,y)) = (x \ a(y,z,y)) / x. [back_rewrite(425856),rewrite([531461(5)]),flip(a)]. 533596 L(x,y * (z * ((u \ w) * u)),v5) = L(x,y * (z * w),v5). [para(3514(a,1),2412(a,2,2)),rewrite([4542(4),3514(5)])]. 533652 L(x,y * (((z \ 1) * u) * z),w) = L(x,y * L(u,z,z),w). [para(3999(a,1),2412(a,1,2,2,1)),rewrite([12360(11)])]. 535232 a(x,y,(z \ (u * (w / u))) \ v5) = a(x,y,(z \ w) \ v5). [para(707(a,1),2472(a,1,3,1)),rewrite([923(10),784(11)])]. 535237 a(x,y,(((z \ 1) * u) * z) \ w) = a(x,y,L(u,z \ 1,z) \ w). [para(3866(a,1),2472(a,1,3,1)),flip(a)]. 535299 a(x,y,((z * T(u,w)) \ v5) \ v6) = a(x,y,((z * u) \ v5) \ v6). [para(896(a,1),2472(a,1,3,1)),rewrite([774(10),815(11)])]. 535300 a(x,y,((T(z,u) \ w) * v5) \ v6) = a(x,y,((z \ w) * v5) \ v6). [para(897(a,1),2472(a,1,3,1)),rewrite([682(9),893(10),815(11)])]. 535315 a(x,y,(((1 / z) \ u) * z) \ w) = a(x,y,u \ ((z * z) \ w)). [para(3507(a,1),2472(a,1,3,1)),rewrite([5873(3)]),flip(a)]. 535333 a(x,y,((z * u) * z) \ w) = a(x,y,(z * (u * z)) \ w). [para(6200(a,1),2472(a,1,3,1)),rewrite([9572(5),3514(3),3618(8),1715(8),3847(7),10280(9)]),flip(a)]. 535357 a(x,y,(((z \ u) * z) * w) \ v5) = a(x,y,(w * u) \ v5). [para(2595(a,1),2472(a,1,3,1)),rewrite([928(9),923(10),784(11)])]. 535358 a(x,y,(z * ((u \ w) * u)) \ v5) = a(x,y,(z * w) \ v5). [para(2595(a,2),2472(a,1,3,1)),rewrite([2595(4),535357(5)]),flip(a)]. 535365 a(x,y,z * a(u,w \ 1,w)) = a(x,y,z * a(u,w,w)). [para(5311(a,2),2472(a,1,3,1)),rewrite([8104(4),8301(2),9672(4),5313(6),8104(8)]),flip(a)]. 535387 a(x,y,z * ((R(u,w,v5) \ 1) * u)) = a(x,y,z * a(v5,w,u)). [para(42601(a,1),2472(a,1,3,1)),rewrite([8104(3),390157(7),428454(8)]),flip(a)]. 535394 a(x,y,((z \ T(u,w)) \ v5) \ v6) = a(x,y,((z \ u) \ v5) \ v6). [para(2123(a,1),2472(a,1,3,1)),rewrite([774(10),815(11)])]. 535398 a(x,y,(((z / u) \ w) * u) \ v5) = a(x,y,(u * ((u \ z) \ w)) \ v5). [para(5813(a,1),2472(a,1,3,1)),rewrite([10280(12)]),flip(a)]. 535424 a(x,y,z \ ((u \ 1) * (u \ w))) = a(x,y,z \ ((u * u) \ w)). [back_rewrite(535315),rewrite([535398(6),313802(5)])]. 535575 (((1 / x) * y) * z) * (x * x) = T((x * y) * z,x * x). [para(2474(a,1),5731(a,1,1)),rewrite([5876(4),5876(3),3262(2),379(7)])]. 535775 a(x * ((y * (z * z)) * u),w,v5) = a((y * u) * x,w,v5). [para(14(a,1),2479(a,1,1,1)),rewrite([14(4),3260(5)]),flip(a)]. 535799 a(((x * T(y,z)) * u) * w,v5,v6) = a(w * (u * (y * x)),v5,v6). [para(1575(a,2),2479(a,2,1,2,1)),rewrite([1575(8),284375(10)])]. 535818 a(x * (y * a(z,u,w \ 1)),v5,v6) = a((a(z,u,w) \ y) * x,v5,v6). [para(14423(a,2),2479(a,2,1,2,1)),rewrite([7553(7),1708(2),13545(5),14423(9),9427(9),9134(10)]),flip(a)]. 535832 a((((x * y) * x) * z) * u,w,v5) = a(u * (L(y,x,x) * z),w,v5). [para(1593(a,1),2479(a,2,1,2,1)),rewrite([3029(3),98345(10)])]. 535834 a(x * ((y * ((z * z) \ u)) * w),v5,v6) = a(x * ((u * y) * w),v5,v6). [para(5876(a,2),2479(a,1,1,1,1)),rewrite([5876(3),284463(6)]),flip(a)]. 535940 a(((x * (y \ 1)) * z) * u,w,v5) = a((z * (y * x)) * u,w,v5). [para(4356(a,2),2479(a,1,1,1,1)),rewrite([4356(4),440338(12)])]. 535941 a(x * ((y \ T(z,u)) * w),v5,v6) = a(x * ((y \ z) * w),v5,v6). [para(2034(a,1),2479(a,2,1,2,1)),rewrite([763(4),98222(6),7758(4),7758(9)]),flip(a)]. 536012 a(x * (((1 / y) \ z) * u),w,v5) = a(((y \ z) * u) * x,w,v5). [para(5530(a,1),2479(a,2,1,2,1)),rewrite([359672(9),11379(5),130067(7),201701(6),535941(11)]),flip(a)]. 536029 a((x * (y * R(y,z,u))) * w,v5,v6) = a((a(y,z,u) * x) * w,v5,v6). [para(13434(a,1),2479(a,1,1,1,1)),rewrite([248680(8),440338(11)]),flip(a)]. 536055 a(x * (((y \ K(z,u)) * w) * v5),v6,v7) = a((v5 * (y * w)) * x,v6,v7). [para(1488(a,1),2479(a,2,1,2,1)),rewrite([928(5),928(6),928(7),52445(8),535940(6)]),flip(a)]. 536057 a(((x * (y \ K(z,u))) * w) * v5,v6,v7) = a((w * (y * x)) * v5,v6,v7). [para(1488(a,2),2479(a,2,1,2,1)),rewrite([1488(11),536055(12)])]. 536127 a(x * ((y * (z \ 1)) * u),w,v5) = a((u * (z * y)) * x,w,v5). [para(4163(a,1),2479(a,2,1,2,1)),rewrite([536057(8)]),flip(a)]. 539255 a(x,y,z \ (((u \ w) * v5) * u)) = a(x,y,z \ (u * ((w / u) * v5))). [para(7363(a,1),779(a,1,3,2)),rewrite([7969(12)]),flip(a)]. 539256 L(x,y * (z * ((u / z) * w)),v5) = L(x,y * (z * ((z \ u) * w)),v5). [para(7363(a,1),877(a,2,2,2)),rewrite([883(5),99625(8),877(6)]),flip(a)]. 539257 L(x,y * (((z / y) * u) * w),v5) = L(x,y * (((y \ z) * u) * w),v5). [para(7363(a,2),877(a,1,2,2)),rewrite([6909(3),7363(8),539256(8),877(8)]),flip(a)]. 539372 x * (L(x \ y,z,u) \ (y / x)) = T(x * a(u,z,x \ y),x \ y). [para(13502(a,1),7363(a,1,2)),rewrite([5265(5),394923(11)]),flip(a)]. 539499 a(x,y,(((z \ u) * w) * z) \ v5) = a(x,y,(z * ((u / z) * w)) \ v5). [para(7363(a,1),2472(a,1,3,1)),rewrite([10280(12)]),flip(a)]. 539505 a(x,y,z \ (u * ((1 / u) * w))) = a(x,y,z \ L(w,u \ 1,u)). [back_rewrite(95667),rewrite([539255(6)])]. 539526 a(x,y,(z * ((1 / z) * u)) \ w) = a(x,y,L(u,z \ 1,z) \ w). [back_rewrite(535237),rewrite([539499(6)])]. 539769 T(x,x \ y) * ((y / (y / x)) * z) = x * (x * z). [hyper(1465,a,12061,a,b,4882,a),rewrite([5336(5),2621(5),22(4),379(3),4882(6),3205(8),2299(7),5336(9),2621(9),22(8),379(7)])]. 540182 a(x \ y,x * y,z) = a(y * x,y * x,z). [para(6078(a,1),5311(a,1,3)),rewrite([7564(6),8842(4),6078(7),11651(9),928(11),2504(11),520810(9),749(8),303(8)])]. 540766 x \ (y * (x * a(z,z,x))) = T(y * a(z,z,x),x). [para(4946(a,2),5719(a,2,2,2)),rewrite([6554(2),9229(2),290742(10),372(6),373(8),19(7),5264(7)])]. 540951 L(x,y,z * (u * (w * w))) = L(x,y,u * z). [para(4726(a,1),3158(a,1,3)),rewrite([497(2),5787(11),1503(8)])]. 541299 T(x,y) \ (L(x,z,u) * w) = L(x,z,u) * (T(x,y) \ w). [hyper(1465,a,3485,a,b,4909,a),rewrite([305(2),2425(5),305(7),2425(8)])]. 541336 L(x,y,z) * (x \ (L(T(x,u),y,z) \ w)) = T(x,u) \ w. [hyper(1465,a,2903,a(flip),b,4909,a),rewrite([305(2),2425(3),31(5)]),flip(a)]. 541340 L(x,y,z) * ((x \ u) * K(x * u,w)) = x \ T(L(x,y,z) * u,w). [hyper(1465,a,2099,a(flip),b,4909,a),rewrite([5429(8),679(9)]),flip(a)]. 541420 x \ T(a(y,z,u) \ x,w) = a(y,z,u) \ K(x,w). [hyper(123,a,2109,a(flip),b,4909,a),rewrite([9315(3),9315(8),5301(8),285629(8)])]. 541421 (L(x,y,z) * (x \ u)) / (L(x,y,z) * u) = a(x,x,u) / x. [hyper(1832,a,4909,a(flip),b,5063,a),rewrite([9827(10),10705(9),372(7),20(8)])]. 541488 x * (L(x,y,z) * a(x,u,w)) = L(x,y,z) * R(x,u,w). [para(9234(a,1),4909(a,1,2,2))]. 541539 L(x,y,z) * (((u * x) / u) * w) = ((u * x) / u) * (L(x,y,z) * w). [para(3218(a,1),4909(a,1,2,2)),rewrite([108054(8),176468(10)]),flip(a)]. 541541 ((x * y) / x) * (L(y,z,u) * (y \ w)) = L((x * y) / x,z,u) * w. [para(5612(a,2),4909(a,1,2,1)),rewrite([5612(5),183275(9),21(4),21(5)])]. 541564 ((x * y) / x) * (L(y,z,u) * w) = y * (L((x * y) / x,z,u) * w). [para(4909(a,1),4886(a,1,2)),rewrite([541541(11)])]. 541593 L(x,y,z) * ((x * u) / x) = x * ((L(x,y,z) * u) / x). [para(3921(a,1),4909(a,1,2,2)),rewrite([755(5),38354(4)]),flip(a)]. 541642 L(x \ y,z,u) * ((y / x) * w) = (x \ y) * (L(y / x,z,u) * w). [para(3208(a,1),4909(a,1,2,2)),rewrite([39121(7)]),flip(a)]. 541644 L(x / y,z,u) * T(y \ x,w) = (x / y) * L(T(y \ x,w),z,u). [para(11553(a,2),4909(a,1,2,2)),rewrite([11553(8),7924(8),1697(6),677(6),3025(5),863(4),31(4)]),flip(a)]. 541660 L(x,y,z) * ((1 / x) \ u) = x * ((1 / L(x,y,z)) \ u). [para(4946(a,1),4909(a,1,2,2)),rewrite([8265(4)]),flip(a)]. 541683 R(T(1 / x,y),x,L(x,z,u) * (x \ w)) = T(a(x,x,w) / x,y). [para(4909(a,1),5891(a,1,1,2)),rewrite([541421(6)]),flip(a)]. 541769 L(x,y,z) * (((u * x) / u) * w) = x * (L((u * x) / u,y,z) * w). [back_rewrite(541539),rewrite([541564(10)])]. 541815 L((x * y) / x,z,u) * (y * w) = y * (L((x * y) / x,z,u) * w). [back_rewrite(176468),rewrite([541769(10)])]. 541828 (x \ y) * ((x * y) \ ((x * y) / z)) = (x \ y) / z. [hyper(1466,a,5624,a,b,7058,a),rewrite([9428(4),5624(8),1105(11),682(11),3182(10),183988(10)])]. 541887 (x \ (y / z)) * (z \ y) = (x \ (z \ y)) * (y / z). [para(977(a,1),5624(a,2,2)),rewrite([2008(4),155625(6),5867(6),21(6)]),flip(a)]. 541976 (x \ T(y \ z,u)) * (z / y) = (x \ (z / y)) * T(y \ z,u). [para(24779(a,1),5624(a,2,2)),rewrite([6503(5),541644(7),436470(7),21(7)]),flip(a)]. 542021 a(x,x,y) \ ((x * y) * z) = (x * y) * (a(x,x,y) \ z). [para(5075(a,1),5624(a,1,2,1)),rewrite([5274(9)])]. 542363 T(x,y) * R(T(z,x * x),x,x) = T(K(x,y) * (L(z,x,x) * x),x). [para(3391(a,1),7170(a,2,2,1,2)),rewrite([919(6),21(5),883(4),198966(8),73772(6),1860(12),1848(11),21(10)]),flip(a)]. 542672 R(x,y,z) * ((1 / R(x,y,z)) * u) = x * ((1 / x) * u). [hyper(1466,a,34099,a,b,6073,a),rewrite([5876(6),5210(7),976(6),12164(6),468635(6),5129(3),22(4),5553(3),5876(9),71268(11),5210(7),2902(5),5210(6),7328(8),7325(8),8553(8),254303(9),542363(6),302142(5),4274(6),412375(6),3277(6),11219(7),14620(5),213(3),3277(2),2535(10),4179(10),8192(10),78560(8)]),flip(a)]. 542693 L(x * x,y,z) \ (u * w) = (L(x * x,y,z) \ u) * w. [hyper(1465,a,6073,a(flip),b,10983,a(flip)),rewrite([149754(9),22(10),22(9),101789(10)])]. 542736 L(x,y,a(y,z,u)) * y = L(x * y,y,a(u,z,y)). [para(9235(a,1),6073(a,2,2,2,1)),rewrite([13515(5),4971(5),386432(4),9392(5),8105(3),4971(9),386432(8),42607(8),4709(7)]),flip(a)]. 543818 (x \ 1) * R(y,x \ 1,x) = R((1 / x) * y,x,x \ 1). [para(742(a,1),6217(a,1,1,2)),rewrite([1105(8),682(8),155(7),9724(7),14782(7)]),flip(a)]. 543834 ((x * y) * (x \ 1)) * x = x * R(y,x,x \ 1). [para(859(a,1),6217(a,1,1,2)),rewrite([1105(8),682(8),3025(7),863(6),1859(8)])]. 543847 a(x,y,L(z,u,u)) * u = (1 / u) \ a(x,y,z). [para(7243(a,1),6217(a,1,1,1)),rewrite([13488(5),13307(5),9435(6)])]. 543850 a(x,y,z) * L(x,x,a(z,y,u)) = R(x,y,L(z,x,u)). [para(9235(a,1),6217(a,1,1,1,1)),rewrite([6173(5),9390(5),505641(4),5238(5),9109(5)]),flip(a)]. 544056 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [hyper(152,a,5931,a,b,5605,a),rewrite([22(2),22(3),5931(5),22(7)])]. 544292 x * R(x \ y,x,y \ 1) = (1 / (x * (y \ 1))) * x. [para(859(a,1),6331(a,1,1,1)),rewrite([72168(7),1859(10)]),flip(a)]. 544309 x * (((y * z) / (x * z)) * x) = R(x * y,x,z). [para(6331(a,2),247(a,2,2)),rewrite([1857(5),247(6),2199(5),6451(4),22(2),125693(8)]),flip(a)]. 544313 (x \ y) * R((x \ y) \ z,x \ y,x) = ((z * x) / y) * (y / x). [para(1582(a,2),6331(a,1,1,2)),rewrite([1582(4),7855(6)]),flip(a)]. 544866 x \ (L(R(x,y,z),u,x) * w) = R(x,y,z) * (R(x,u,x) \ w). [hyper(1465,a,2689,a(flip),b,5117,a),rewrite([2535(3),10090(3),2536(8),13265(8),13249(8),2609(8)])]. 544959 L(R(x,y,z),u,x) * (x \ w) = R(x,y,z) * (R(x,u,x) \ w). [hyper(1465,a,5117,a(flip),b,2689,a),rewrite([34(2),544866(4),34(7),2366(11),9678(10),2074(8)]),flip(a)]. 544999 R(x,y,z) * T(x * u,w) = x * T(R(x,y,z) * u,w). [para(225(a,2),5117(a,1,2,2)),rewrite([225(8),371637(5),21(3)]),flip(a)]. 545116 R(x,y,z) * ((x * u) / x) = x * ((R(x,y,z) * u) / x). [para(3921(a,1),5117(a,1,2,2)),rewrite([11578(5),287889(4)]),flip(a)]. 545257 L(x,y,L(z \ 1,u,w) * v5) = L(x,y,L(z,u,w) * v5). [para(5117(a,1),4676(a,1,3)),rewrite([6917(5),5478(12),5117(9),6917(8)])]. 545431 T(((x \ 1) * y) * x,x \ 1) = (y * (x \ 1)) * x. [para(5505(a,1),5503(a,1,2,1)),rewrite([276638(10),378(2),378(3),14782(5),5701(4),502(5),12923(12),373(9),20(9),502(9)]),flip(a)]. 549691 a(x,x \ 1,y) / (1 / x) = R(x,x,x \ y). [hyper(1832,a,5623,a(flip),b,5063,a),rewrite([79739(7),790(9),818(7),850(7),174578(7),20(4)]),flip(a)]. 550177 T(x \ T(y,y \ x),y \ x) = T((x \ y) \ 1,y) \ 1. [para(863(a,1),6987(a,1,2)),rewrite([1699(11),1591(11),174633(10)])]. 550495 L(T(x * y,x),x \ 1,x) = x * (((x \ 1) * y) * x). [hyper(1468,a,5990,a(flip),b,3759,a),rewrite([81560(5),21(2),410930(6),3426(3),3516(5),3866(10),31(10)]),flip(a)]. 550664 a(x,y,z \ ((u \ 1) * (u * w))) = a(x,y,z \ L(w,u,u)). [para(5990(a,1),777(a,1,3,2)),rewrite([95652(6)]),flip(a)]. 550874 T(L(x,y,y) * y,y \ 1) = y * ((x * y) * (1 / y)). [para(4470(a,2),5990(a,1,1,2)),rewrite([492(4),4709(3),1098(5),492(9)])]. 551765 L(L(x,y,z),z * y,z) * L(y,z,z) = L(x * y,z,z). [para(5631(a,1),1582(a,1,2,1)),rewrite([305(7),306(6),306(4),677(4),682(3),155(2),502(2),5631(6)]),flip(a)]. 553136 (x * y) \ ((x * ((z * z) * x)) * u) = ((1 / ((z * z) * x)) * y) \ u. [para(14(a,1),5644(a,1,1)),rewrite([14(8),14(9),5873(10),21(9)])]. 553273 L(x,y,z * (((1 / u) * w) \ v5)) = L(x,y,((u * w) \ v5) * z). [para(5644(a,1),889(a,2,3,2)),rewrite([5724(4),6342(6),66758(6)]),flip(a)]. 553289 L(x,y,((z \ 1) * u) \ w) = L(x,y,(z * u) \ w). [para(5644(a,1),919(a,2,3)),rewrite([5724(4),889(5),3158(5),9781(8)]),flip(a)]. 553320 L(x,y,((z \ K(u,w)) * v5) \ v6) = L(x,y,(z * v5) \ v6). [para(5644(a,1),920(a,2,3)),rewrite([277652(6),9781(5),9781(10),553289(10)])]. 553440 L(x,y,(((1 / z) * u) \ w) * v5) = L(x,y,((z * u) \ w) * v5). [para(5644(a,1),1504(a,2,3,1)),rewrite([5724(4),14(5),9785(6),3158(6)]),flip(a)]. 553604 (R(x,y,z) * u) \ ((x * x) * w) = ((a(x,y,z) / x) * u) \ w. [para(5117(a,1),5644(a,1,1)),rewrite([492252(11)])]. 553656 a(x,x * y,L(z,z,y)) = a(x,x * y,z). [back_rewrite(355098),rewrite([553604(8),251648(5),13572(5)])]. 554486 (x / (x \ 1)) \ y = (x \ 1) * (x \ y). [para(7735(a,1),5570(a,2,2)),rewrite([189945(7),288631(6),856(4),108754(4),314808(11)])]. 554564 a(x * (y * (z * (1 / u))),w,v5) = a(x * ((z * u) * y),w,v5). [para(5570(a,1),2479(a,1,1,1,1)),rewrite([535799(7),535834(12)])]. 554642 (x * x) \ (T(y,x \ (x \ 1)) / z) = (y * ((x * x) \ 1)) / z. [hyper(1466,a,5497,a,b,5729,a),rewrite([5728(6),22(5),373(2),1007(10)]),flip(a)]. 556309 L(x,(((1 / y) * z) * y) * y,u) = L(x,y * L(z,y,y),u). [para(5158(a,2),875(a,1,2)),rewrite([5158(4),539257(12),533652(12)])]. 556431 L(x,y * L(z,y,y),u) = L(x,(y \ 1) \ z,u). [para(5158(a,1),4179(a,1,2)),rewrite([556309(6),880(8),12097(6)])]. 556433 a(x * L(y,x,x),z,u) = a(x \ y,z,u). [para(5158(a,2),4735(a,1,1)),rewrite([24993(8),6114(7),4306(7),13265(13),3264(12),9200(11),20(9),851(9),7106(5),8845(3),391(6),543834(7),2525(7),8303(5),19(4)]),flip(a)]. 556625 (x * y) * (a(x,x,y) \ z) = (x * L(y,x,x)) * z. [para(43131(a,1),5519(a,1,2)),rewrite([299(3),8199(5),4930(3),9236(2),299(6),8199(9),542021(7)]),flip(a)]. 556856 a(x,y,z) \ (u * T(x,w)) = (a(x,y,z) \ u) * T(x,w). [para(17356(a,1),5519(a,1,2)),rewrite([299(3),8199(4),299(7),8199(10)]),flip(a)]. 556900 (a(x,y,z) \ x) * (x \ y) = a(x,y,z) \ y. [para(42668(a,1),5519(a,1,2)),rewrite([299(3),8199(4),299(7),22(9),8199(8)])]. 557358 x * ((x \ 1) \ R(y,z,u)) = R(x * ((x \ 1) \ y),z,u). [para(4356(a,2),5159(a,1,1)),rewrite([4356(6),24993(5),5848(5),24993(10),5848(9)])]. 557562 R(x,y,z) / T(u * u,w) = R(x / T(u * u,w),y,z). [hyper(1466,a,6785,a(flip),b,3026,a),rewrite([1105(6),770(6),3025(5)]),flip(a)]. 558290 (a(x,y,z) \ u) \ (a(x,y,z) \ 1) = a(x,y,z) \ (u \ a(x,y,z)). [para(286(a,1),5574(a,1,1)),rewrite([5876(6),246834(4),8586(6),6576(5),254128(6),299(5),22(11),7811(10)])]. 558625 R(x,y,L(z,u,u) \ (u \ 1)) = R(x,y,u \ ((u * z) \ u)). [para(5574(a,1),2006(a,1,3)),rewrite([6413(4)]),flip(a)]. 558626 L(x,L(y,z,z) \ (z \ 1),u) = L(x,z \ ((z * y) \ z),u). [para(5574(a,1),2008(a,1,2)),rewrite([6402(4)]),flip(a)]. 558632 ((x * (y \ K(z,u))) \ w) \ 1 = ((x * (y \ 1)) \ w) \ K(z,u). [para(2091(a,1),5574(a,2,1,2)),rewrite([301(7),1105(7),19(7),923(14),48(13)]),flip(a)]. 558673 K(x,K(y,z)) * (u \ K(x,w)) = u \ K(x,w * K(y,z)). [para(11960(a,1),5574(a,2,1,2)),rewrite([301(6),1105(6),19(6),774(5),44(2),46(2),45(2),385608(11),385702(13),11560(12),30(10),54(11),853(9),2153(8)])]. 558705 R(x \ (x \ 1),y,z) = x \ (x \ 1). [hyper(507,a,3750,a,b,5701,a),rewrite([24993(5),503(4),5701(10),24993(9),503(8)])]. 558801 R((x * y) \ (x * z),y,y \ 1) = L(T(z * (y \ 1),y),y,x). [para(5701(a,1),5819(a,2,1))]. 558811 x * ((y * x) * (1 / x)) = R(x * y,x \ 1,x). [para(3275(a,1),5701(a,1,1)),rewrite([492(7),1848(4),492(9),1098(9),550874(9)]),flip(a)]. 558859 ((x \ (x \ 1)) * y) * z = (x \ (x \ 1)) * (y * z). [para(5701(a,2),37646(a,1,1,1)),rewrite([5701(6),24993(5),503(4),24993(10),503(9)])]. 558905 T(L(x,y \ 1,y) * (y \ 1),y) = R((y \ 1) * x,y,y \ 1). [para(3999(a,1),5701(a,1,1)),flip(a)]. 559434 a((x \ (x \ y)) * z,u,w) = a(z * L(y,x,x),u,w). [para(9267(a,1),2558(a,2,1,2)),rewrite([9130(4),4919(5),13532(7),8208(2),332213(4),4816(7),9343(7),531296(8)])]. 559460 a((x \ y) * (a(x,x,y) * z),u,w) = a(z * (x * y),u,w). [para(5075(a,1),2558(a,2,1,2)),rewrite([4971(4),8043(4),5072(3),201701(7),92963(4)])]. 559552 a(x * (a(y,y,x) * z),u,w) = a(z * L(x,y,y),u,w). [back_rewrite(331856),rewrite([559434(8)])]. 559848 R(x \ 1,x \ 1,x * y) = R(1 / x,x,y). [para(865(a,1),5703(a,2,1)),rewrite([762(6),108288(6),32(7),503(3)])]. 560633 x * ((1 / x) * (R(x,y,z) * u)) = R(x,y,z) * L(u,x,x). [para(4953(a,1),5712(a,1,2,2)),rewrite([542672(10),10823(8),2535(11),6298(11),4179(10),880(10),8192(9),26735(10)])]. 560634 L((1 / x) \ y,x,x) * x = x * (y * L(x,x * y,x)). [para(5867(a,2),5712(a,1,2)),rewrite([919(6),8424(6),20(5),903(4),317887(4),373(2)]),flip(a)]. 560693 L(((x \ 1) \ y) * x,x \ 1,x) = L((1 / x) \ y,x,x) * x. [para(911(a,2),5712(a,1,2)),rewrite([911(9),10050(7),3866(8)])]. 561291 L((x * y) / x,z,x * z) = ((x / z) * (z * y)) / x. [para(24(a,1),5611(a,1,1,1,1)),rewrite([24(3),919(4),8303(4),24(9)])]. 561424 L(x,L(y \ 1,z,u),L(y,z,u)) = L(x,y \ 1,y). [para(3729(a,1),7272(a,1,2)),rewrite([1105(8),682(8),3096(8),1742(4),19(2),380(1),378(2),2535(5),881(5),4175(5),11459(5),3729(11),542672(11),1105(13),682(13),682(12),53116(12),376(10),378(10),3866(9)])]. 561446 L(x,y \ a(z,u,y),L(y,u,z)) = L(x,y \ 1,y). [para(9354(a,1),7272(a,1,2)),rewrite([19(2),375(2),3866(10),11459(9),561424(9),375(9)])]. 561485 a(x \ (y * z),z,y) = a(z * (y \ x),z,y). [para(7272(a,1),13007(a,1,3)),rewrite([813(15),5967(14),1504(12),21(10),10095(10),21(6),9200(9),7743(9),21(2),42589(7),813(10),21(9),7743(8),21(5),8920(6),8301(6)])]. 561486 a(x \ (y * z),y,z) = a(y * (z \ x),y,z). [para(7272(a,1),13280(a,1,3)),rewrite([813(15),5967(14),889(12),21(10),12300(10),21(6),9200(9),11065(9),21(2),42589(7),813(10),21(9),11065(8),21(5),83464(6)])]. 561748 (((1 / x) \ y) \ z) * a(x,x,y) = (x * y) \ z. [hyper(1467,a,43580,a(flip),b,5598,a(flip)),rewrite([299(4),56262(4),19078(10),8043(10),5072(9),123085(12)])]. 562464 R(R(x,y,z),u,w) \ R(x,y,z) = L(a(x,u,w) \ 1,y,z). [para(36(a,1),5115(a,2,1)),rewrite([5115(6),246871(8)])]. 562638 a((a(x,y,z) \ u) * w,v5,v6) = a((a(x,y,z) * u) * w,v5,v6). [para(5115(a,1),2479(a,1,1,1,1)),rewrite([9469(3),440338(11),2902(6),536029(9)])]. 562661 a(x * (y * a(z,u,w \ 1)),v5,v6) = a((a(z,u,w) * y) * x,v5,v6). [back_rewrite(535818),rewrite([562638(10)])]. 562856 a(x,a(y * z,u,w),z * y) = a(x,y * z,a(y * z,u,w)). [hyper(152,a,809,a,b,5218,a)]. 563057 (x * x) \ L(y,a(z,u,w),v5) = L((x * x) \ y,a(z,u,w),v5). [hyper(152,a,5159,a,b,5238,a),rewrite([5238(3)])]. 564720 a(x,a(y,z,u \ 1),w) = a(x,a(u,z,y),w). [para(5402(a,1),2329(a,1,2)),rewrite([246779(6),97527(6),20(5),248443(9)])]. 564750 a(x \ y,a(y,x,x),z) = 1. [back_rewrite(93546),rewrite([564720(5)])]. 567595 a(x,y,a(z,u,w \ 1)) = a(z,u,a(w,y,x)). [hyper(1468,a,5779,a,b,51672,a),rewrite([8871(5),299(6),8866(6),5779(9),13272(10),27655(8),3266(3)]),flip(a)]. 567760 L(x,(R(y,z,u) * w) * v5,v6) = L(x,(L(y,z,u) * w) * v5,v6). [para(5799(a,1),5785(a,2,2)),rewrite([8632(6),5785(6),5800(4)]),flip(a)]. 567869 L(x,((y \ 1) * (y * z)) \ u,w) = L(x,L(z,y,y) \ u,w). [para(5990(a,1),5788(a,1,2,1)),rewrite([9936(6)]),flip(a)]. 567915 L(x,y,(z * (u * z)) \ w) = L(x,y,L(u,z,z) \ w). [para(5990(a,1),5790(a,1,3,1)),rewrite([553289(6),553289(10),9632(8)])]. 568673 ((x \ y) \ 1) * ((y / x) \ 1) = ((x \ y) \ 1) / (y / x). [para(4716(a,1),5846(a,2,2)),rewrite([3838(8)]),flip(a)]. 568674 ((x / y) \ 1) * ((y \ x) \ 1) = ((x / y) \ 1) / (y \ x). [para(4717(a,1),5846(a,2,2)),rewrite([3352(8),379(5),503(5)]),flip(a)]. 569255 a(x,y,z * (u * ((u \ 1) \ w))) = a(x,y,z * ((u * u) * w)). [para(5848(a,2),792(a,2,3,2)),rewrite([10652(5),450883(6),5848(8)]),flip(a)]. 569268 R(x,y,((z \ 1) \ u) * z) = R(x,y,(z * z) * u). [para(5848(a,2),1846(a,1,3)),rewrite([5848(4),450885(5)]),flip(a)]. 569488 a(x,y * (z * ((z \ 1) \ u)),w) = a(x,(z * z) * (u * y),w). [para(5848(a,1),2328(a,1,2,2)),rewrite([528495(7),5511(5),202107(6),5848(8)]),flip(a)]. 574096 K(x,y) * ((y / x) / y) = (y / x) / T(y,x). [hyper(1466,a,6033,a(flip),b,2917,a),rewrite([762(4)])]. 574420 (x * T(T(x,y),z)) \ K(x,y) = (x * T(x,T(z,y))) \ 1. [para(25835(a,1),6034(a,1,1))]. 578510 a(x,y,y) \ (z \ a(x,y,y)) = z \ 1. [hyper(6259,a,13200,a,b,6374,a),rewrite([299(4),78994(4),2148(5),5282(5),503(3),2148(5),13200(7),7811(6)]),flip(a)]. 578955 a(x,y,z) * (u \ (z \ L(z,y,x))) = a(x,y,z) \ (u \ a(x,y,z)). [hyper(6259,a,9316,a,b,6374,a),rewrite([13127(6),9315(8),6509(8),5279(8),13018(6),9315(8),6509(8),558290(11)])]. 579701 (a(x,y,z) \ u) \ (z \ L(z,y,x)) = a(x,y,z) \ (u \ a(x,y,z)). [hyper(6259,a,5402,a,b,6374,a),rewrite([13127(6),9315(8),6509(8),5279(8),13018(6),578955(5),9315(7),6509(7),5402(10)]),flip(a)]. 581339 (x * (a(y,z,u) \ w)) / x = a(y,z,u) \ ((x * w) / x). [hyper(6259,a,2148,a,b,5579,a),rewrite([299(2),300(6),61328(16),521(16),27478(15),508812(13),25682(9)])]. 583546 x \ R(T(y,x * x),x,x) = T(((x * x) \ y) * x,x). [hyper(6259,a,5711,a(flip),b,5876,a(flip)),rewrite([5876(3)]),flip(a)]. 583683 T(L(x,y,z) \ ((1 / L(x,y,z)) \ u),w) = T(x \ ((1 / x) \ u),w). [hyper(6259,a,5530,a(flip),b,513,a),rewrite([229(9),331668(7),298(7),1576(6),232249(12)]),flip(a)]. 583777 L(x,y,z) \ (L(R(x,u,w),y,z) * v5) = L(R(x,u,w),y,z) * (L(x,y,z) \ v5). [hyper(6259,a,5117,a(flip),b,513,a),rewrite([34(2),298(9),503(8),21(7),34(8)]),flip(a)]. 587812 L(x,y \ 1,L(y,z,z)) = L(x,y \ 1,y). [hyper(507,a,9343,a(flip),b,6268,a),rewrite([3264(5),4628(9),6268(7)]),flip(a)]. 588405 (x \ K(y \ 1,z)) * (u \ (u / y)) = (x \ 1) * T(u \ (u / y),z). [para(2667(a,1),6269(a,1,1,2))]. 589519 K(x \ y,x) / (z \ (x \ y)) = 1 / (z \ (y / x)). [para(503(a,1),6279(a,1,2,2)),rewrite([864(2)])]. 589925 L(R(x,y,z) \ x,u,w) \ v5 = a(x,y,L(z,u,w)) * v5. [para(6308(a,1),10918(a,2,2,1)),rewrite([246838(3),70455(3),4191(4),5237(4),13271(5),7277(6),7016(7)]),flip(a)]. 589940 (x * ((y \ x) \ 1)) \ y = (y \ x) * (x \ y). [para(5805(a,1),6308(a,1,1)),rewrite([2965(4),6646(6)]),flip(a)]. 589950 x / L(R(y,z,u) \ y,w,v5) = a(y,z,L(u,w,v5)) * x. [back_rewrite(7016),rewrite([589925(8)])]. 592398 R(x,y,(T(z,u) \ w) \ v5) = R(x,y,(z \ w) \ v5). [para(68261(a,1),6387(a,1,3,1)),rewrite([10119(4),1839(5)]),flip(a)]. 597851 T(x,y * K(z,u)) \ T(w,K(z,u)) = T(T(x,y) \ w,K(z,u)). [hyper(1465,a,1723,a,b,37468,a(flip)),rewrite([1104(6),64768(11),68816(8),749(5),5676(5),2903(7),417(9),67847(7),131729(7),100175(7),1104(10),682(12),3096(12),749(10)])]. 597876 (x * ((y \ (x \ z)) * y)) / y = x * T(x \ (z / y),y). [para(37468(a,1),153(a,1,1)),rewrite([2913(14),22(12),682(12),3182(11),63069(10),21(8)])]. 598186 (1 / x) \ T(((1 / x) * y) * x,z) = T(x * T(y,z),x). [hyper(1465,a,50955,a(flip),b,3508,a),rewrite([5876(6),5876(5),3262(4),29(12)])]. 598546 ((x \ y) * z) * (z \ T(x,x \ y)) = ((y / x) * z) * (z \ x). [para(741(a,2),65709(a,2,2,2)),rewrite([7967(5),134254(4)]),flip(a)]. 598575 R(x,y,z) * a(x,y,a(z,u,u \ x)) = (a(x,y,z) * u) * (u \ x). [para(13445(a,1),65709(a,1,2,3,2)),rewrite([8982(4),13445(10)])]. 598738 ((x / y) * z) * (z \ T(y,y \ x)) = y * R(x / y,z,z \ y). [hyper(152,a,18630,a,b,83305,a),rewrite([850(5),173058(6),297474(4),5964(5),850(7),41(8),378(6),869(8)]),flip(a)]. 600785 a(x,y,y) * (L(y,y,x) * z) = y * z. [para(8057(a,1),38110(a,2,2)),rewrite([13307(3),8149(3),6563(4),8427(4)])]. 601006 a(x,x,y * L(z,y,a(x,u,w))) = a(x,x,(a(x,u,w) \ y) * z). [para(38110(a,1),5221(a,1,3)),rewrite([13307(6),9677(8)])]. 604232 (x / y) * a(z,u,L(y,y,x)) = x / L(y,u,z). [hyper(152,a,3219,a,b,37916,a),rewrite([22(2),13570(5)])]. 604246 (x / y) \ (x / L(y,z,u)) = a(u,z,L(y,y,x)). [hyper(1465,a,37916,a(flip),b,3219,a),rewrite([22(2),13570(8)])]. 604310 L(x,y,z) * T(x \ ((1 / x) \ u),w) = (1 / L(x,y,z)) \ T(u,w). [para(37916(a,2),5530(a,1,2,1,2,1)),rewrite([58697(9),3794(7),583683(8)])]. 604579 (x * y) / L(T(y,z),u,w) = (x / L(T(y,z),u,w)) * y. [para(861(a,1),38294(a,1,1,1,1,2)),rewrite([6169(6),682(5),48(4),20(3),861(5),683(7),37903(5),682(5),113962(4),502(5),861(6),302(9),6169(9),677(8),155(7)]),flip(a)]. 605837 (x \ y) \ ((y / (y / x)) * z) = (y / x) \ (x * z). [hyper(1465,a,71791,a(flip),b,3219,a),rewrite([22(2)]),flip(a)]. 607465 (1 / L(1 / x,y,z)) * K(u,w) = 1 / L(K(w,u) / x,y,z). [para(38382(a,2),1863(a,2,1)),rewrite([676(6),2143(5),38382(12)]),flip(a)]. 607509 R(1 / R(x,y,z),x,(y \ 1) \ z) = (y * z) / ((x * y) * z). [hyper(1832,a,55080,a(flip),b,5063,a),rewrite([6169(8),682(7),682(6),48(5),20(4),6314(10),5817(8),13265(8),11196(8),8520(9),248428(11)]),flip(a)]. 608069 R(T(x,y * y),y,y) / L(y,z,u) = (1 / L(y,z,u)) * T(x,y). [hyper(1466,a,1847,a,b,71268,a),rewrite([9130(3),5544(4),5544(3),1847(6),8553(5),9130(8),485701(11)])]. 608170 a(x,L(y,z \ 1,z),u) = a(x,L(y,z,z),u). [para(71268(a,1),2333(a,1,2)),rewrite([5817(4),6123(4),528642(7),134809(7)]),flip(a)]. 608312 a(x,y * (z * (y \ 1)),u) = a(x,L(z,y,y),u). [back_rewrite(317535),rewrite([608170(9)])]. 608604 a(x \ y,z,z \ y) = a(y \ x,z,z \ y). [para(29671(a,2),14896(a,1,1)),rewrite([29671(6),869(6),598738(8),13525(7),881(4),9200(5),850(5),42589(5),850(6)])]. 608635 (T(x,y * z) * y) * z = x * (((x * y) * z) / x). [para(12610(a,1),29671(a,2,2)),rewrite([32(3),32(8),368648(9),523657(9),448324(8),2722(7),405(6),545116(5),3516(3),55080(10),38098(9)]),flip(a)]. 609559 L(x,a(y,z,z),z \ y) = x. [hyper(141,a,564750,a)]. 609944 L(x,a(y,z,z),z * y) = x. [para(5508(a,1),609559(a,1,3)),rewrite([851(6),3281(5),13263(3),8149(2),7107(6),5787(4)])]. 610276 L(x,a(y,z,z),y * z) = x. [hyper(152,a,1506,a,b,609944,a)]. 611975 (x / y) / ((x / y) \ 1) = x / (((x / y) \ 1) * y). [para(108754(a,2),4357(a,1,1)),rewrite([741(6),42027(7),10683(9),179652(9)])]. 612231 (x / y) * T(x / y,x \ y) = x / (((x / y) \ 1) * y). [back_rewrite(416445),rewrite([611975(10)])]. 612731 a(((x \ (y \ 1)) * z) * u,w,v5) = a(u * (z * (x \ y)),w,v5). [para(1493(a,1),2480(a,2,1,2,2)),rewrite([928(6),7371(8),287105(12)])]. 612736 a(x * ((y \ (z * (y * y))) * u),w,v5) = a(x * (u * (y \ z)),w,v5). [para(4821(a,2),2480(a,1,1,2,1)),rewrite([7758(6),7550(11)])]. 612968 a((((1 / x) * y) * z) * u,w,v5) = a(u * ((y * x) * z),w,v5). [para(3277(a,2),2481(a,1,1,1,1)),rewrite([3277(2),554564(12)])]. 613096 a(((x \ (y \ K(z,u))) * w) * v5,v6,v7) = a(v5 * (w * (x \ y)),v6,v7). [para(1493(a,1),2481(a,1,1,1,1)),rewrite([98130(14),5105(12)])]. 613313 K(x,T(y / ((z * u) * w),v5)) = K(x,T(y / (z * (u * w)),v5)). [hyper(1466,a,2483,a,b,33026,a),rewrite([12040(8),682(9),2478(10),6169(11),853(9),113608(9),682(10),8008(11),5292(7),16118(8),206097(7),12984(7),12109(6),206097(6),1825(6),969(5),853(5)]),flip(a)]. 614318 ((x \ 1) * y) / L(z,z \ y,x) = (x \ 1) * (y / z). [hyper(1465,a,2489,a,b,3236,a),rewrite([99974(8),1104(8),151800(8),1099(3)])]. 614338 (T(x,y) * z) / L(u,u \ z,x) = T(x,y) * (z / u). [hyper(507,a,18602,a,b,2489,a),rewrite([12660(6),25153(6),927(8)]),flip(a)]. 614621 R(x,y,(z * (u / w)) * v5) = R(x,y,(z * (w \ u)) * v5). [para(2489(a,2),1843(a,1,3,2)),rewrite([927(5),614338(5),7917(5),1843(5)]),flip(a)]. 615164 (x * ((y / z) / y)) \ (x * (y / z)) = L(y,z \ 1,x). [para(6375(a,2),2490(a,2,1,2)),rewrite([2008(3),11873(3),6375(6)]),flip(a)]. 615283 L(x,(y \ x) \ 1,z) = L(x,x \ y,z). [para(4149(a,2),2490(a,1,2)),rewrite([6402(4),10648(4),459483(4),615164(10),903(6)]),flip(a)]. 615990 L(x \ 1,x,L(y,z,z) * x) = L(x \ 1,x,x * y). [para(2492(a,2),6377(a,1,3)),rewrite([2492(6),889(7),7501(7),21(4),400352(12),393696(12),66750(10)]),flip(a)]. 617311 ((x / y) * (x / y)) * (y / x) = R(x / y,y \ x,y). [hyper(1466,a,3512,a,b,2503,a),rewrite([3512(6),5724(5)])]. 617536 a(x \ y,z,u) * x = y * R(y \ x,z,u). [para(9235(a,1),2503(a,2,1)),rewrite([850(2),13307(4),9200(4),42589(4),5710(6)])]. 617788 (a(x,y,z) * (u / w)) * w = w * ((w \ u) * a(x,y,z)). [para(2148(a,2),2503(a,2,1)),rewrite([13307(3),9200(3),239071(4),2148(9)]),flip(a)]. 619004 a(x,y * (z * ((z * u) \ u)),w) = a(x,y * a(z,z,u),w). [para(5069(a,1),2508(a,1,2,2)),rewrite([2326(8)]),flip(a)]. 619068 a(x,y * ((z \ 1) * L(z,u,w)),v5) = a(x,y * a(z,u,w),v5). [para(13434(a,1),2508(a,1,2,2)),rewrite([248680(7),5945(9)]),flip(a)]. 619081 a(x,y * (z * (u * (1 / z))),w) = a(x,y * L(u,z \ 1,z),w). [para(3984(a,1),2508(a,1,2,2)),rewrite([5944(5)]),flip(a)]. 619148 a(x,y * (((z \ 1) \ u) * z),w) = a(x,(z * z) * (u * y),w). [para(5848(a,2),2508(a,1,2,2)),rewrite([5848(4),569488(6)]),flip(a)]. 619230 L(x,y,z * (u * (w * u))) = L(x,y,L(w,u,u) * z). [para(247(a,2),2509(a,1,3,2)),rewrite([247(3),284558(5),123889(4),359564(8),530969(7)]),flip(a)]. 619235 L(x,y,z * ((u * (u * w)) * v5)) = L(x,y,(L(w,u,u) * v5) * z). [para(5835(a,1),2509(a,1,3,2)),rewrite([540951(11)])]. 619236 L(x,y,z * (u * (w * (w * v5)))) = L(x,y,(L(v5,w,w) * u) * z). [para(5835(a,2),2509(a,1,3,2)),rewrite([5835(4),619235(5)]),flip(a)]. 619247 L(x,y,z * (((u \ 1) * w) * u)) = L(x,y,z * L(w,u \ 1,u)). [para(3866(a,1),2509(a,1,3,2)),flip(a)]. 619267 L(x,y,z * (u * (w * (v5 * K(v6,v7))))) = L(x,y,z * ((w * v5) * u)). [para(756(a,1),2509(a,1,3,2)),rewrite([11388(6)]),flip(a)]. 619312 L(x,y,z * (u * (w * (u \ 1)))) = L(x,y,z * L(w,u \ 1,u)). [para(3984(a,1),2509(a,1,3,2)),rewrite([2568(5),7314(11)]),flip(a)]. 619361 L(x,y,z * ((u * w) * u)) = L(x,y,L(w,u,u) * z). [back_rewrite(530969),rewrite([619230(8)])]. 619746 a(((x * T(y,z)) * u) \ w,v5,v6) = a(((x * y) * u) \ w,v5,v6). [para(757(a,1),2511(a,1,1,1)),rewrite([893(10),52445(11)])]. 619832 a(((T(x,y) * z) * u) \ w,v5,v6) = a((u * (x * z)) \ w,v5,v6). [para(1715(a,1),2511(a,1,1,1)),rewrite([923(10),844(11)])]. 619846 a((R(x,y,x) * z) \ u,w,v5) = a((z * x) \ u,w,v5). [para(2608(a,1),2511(a,1,1,1)),rewrite([10567(4),10132(4),4971(6),6859(6)]),flip(a)]. 619894 (x * x) * (y / (y * x)) = R(T(x,y),x,y). [hyper(152,a,5724,a(flip),b,2518,a),rewrite([155(6)])]. 620136 a(x,y,(R(z,u,w) \ 1) \ v5) = a(x,y,(L(z,u,w) \ 1) \ v5). [para(5530(a,1),2522(a,2,3)),rewrite([583683(8),810(8),332139(6),910(5),777(11),910(10)])]. 620467 a((R(x,y,z) * u) \ w,v5,v6) = a((L(x,y,z) * u) \ w,v5,v6). [para(48917(a,2),2529(a,1,1)),rewrite([48917(11),210981(9),2312(8),559434(14),6917(11),8633(11),556433(13)])]. 620479 a((L(x,y,x) * z) \ u,w,v5) = a((z * x) \ u,w,v5). [back_rewrite(619846),rewrite([620467(4)])]. 620915 a(x,y,z * L(T(u,w) \ v5,v6,v7)) = a(x,y,L(u \ v5,v6,v7) * z). [para(2310(a,1),2560(a,2,3,2,1)),rewrite([3014(3),781(6),782(5),100368(5)]),flip(a)]. 621019 a(x * (y * ((z / u) \ w)),v5,v6) = a(x * (y * ((u \ z) \ w)),v5,v6). [para(3514(a,1),2564(a,1,1)),rewrite([3514(10)])]. 621037 a(x * (y * ((z \ 1) \ u)),w,v5) = a(((z \ u) * y) * x,w,v5). [back_rewrite(201701),rewrite([621019(6)])]. 621135 a(x * (((1 / y) \ z) \ u),w,v5) = a(x * ((y \ z) \ u),w,v5). [para(3511(a,1),2565(a,2,1,2,1)),rewrite([5724(3),5873(4),183811(6),2565(4)]),flip(a)]. 621176 a((((x \ 1) \ y) \ z) * u,w,v5) = a(u * ((x \ y) \ z),w,v5). [para(3668(a,1),2565(a,1,1,2,1)),rewrite([621135(6),289046(12),451213(10)]),flip(a)]. 621177 a(x * (((y \ 1) \ z) \ u),w,v5) = a(x * ((y \ z) \ u),w,v5). [para(3681(a,1),2565(a,1,1,2,1)),rewrite([289046(14),621176(12)])]. 621179 a(x * (((y / z) \ u) * w),v5,v6) = a(x * (((z \ y) \ u) * w),v5,v6). [para(5624(a,1),2565(a,1,1,2)),rewrite([826(6),919(10),903(10),5624(12),826(11)])]. 621187 a(x * (((y \ 1) \ z) * u),w,v5) = a(((y \ z) * u) * x,w,v5). [back_rewrite(536012),rewrite([621179(6)])]. 621716 (1 / x) \ ((((1 / x) / y) * z) * u) = x \ (((x / y) * z) * u). [hyper(507,a,3511,a,b,2586,a),rewrite([203343(7),2586(14)]),flip(a)]. 621869 L(x,y * (((z / u) * w) * v5),v6) = L(x,y * (((u \ z) * w) * v5),v6). [para(2586(a,1),2412(a,1,2,2,1)),rewrite([533596(9),2412(7)])]. 621871 a(x,y,(((z / u) * w) * v5) \ v6) = a(x,y,(((u \ z) * w) * v5) \ v6). [para(2586(a,1),2473(a,1,3,1,1)),rewrite([535358(9),2473(7)])]. 622014 (x / (x / y)) \ (((y \ x) * z) * u) = y \ (((x / y) * z) * u). [hyper(1465,a,2587,a(flip),b,8011,a),flip(a)]. 622083 a(x,y,z \ (((u / w) * v5) * v6)) = a(x,y,z \ (((w \ u) * v5) * v6)). [para(2587(a,1),784(a,1,3,2))]. 622084 a(x,y \ (((z / u) * w) * v5),v6) = a(x,y \ (((u \ z) * w) * v5),v6). [para(2587(a,1),819(a,1,2,2))]. 622087 L(x,y,z * (((u / w) * v5) * v6)) = L(x,y,z * (((w \ u) * v5) * v6)). [para(2587(a,1),888(a,1,3,2))]. 622105 L(x,(((y / z) * u) * w) \ v5,v6) = L(x,(((z \ y) * u) * w) \ v5,v6). [para(2587(a,1),895(a,2,2,1)),rewrite([923(8),7301(9),5788(6)]),flip(a)]. 622107 a(x,(((y / z) * u) * w) \ v5,v6) = a(x,(((z \ y) * u) * w) \ v5,v6). [para(2587(a,1),935(a,2,2,1)),rewrite([923(9),923(9),154721(10),819(7)]),flip(a)]. 622162 R(x,y,(((z / u) * w) * v5) * v6) = R(x,y,(((u \ z) * w) * v5) * v6). [para(2587(a,1),1840(a,2,3,1)),rewrite([866(3),928(8),1839(9)]),flip(a)]. 622186 a(x,(((y / z) * u) * w) * v5,v6) = a(x,(((z \ y) * u) * w) * v5,v6). [para(2587(a,1),2331(a,2,2,1)),rewrite([866(3),928(8),52423(9)]),flip(a)]. 622373 R(x,y,z * (u * (w * (v5 / v6)))) = R(x,y,z * (u * (w * (v6 \ v5)))). [hyper(1468,a,2590,a(flip),b,9234,a),rewrite([9238(6)]),flip(a)]. 622552 (((x \ (y * y)) * x) \ 1) * z = ((x \ (y * y)) * x) \ z. [para(1455(a,2),2593(a,1,2,1)),rewrite([5326(3),12849(3),1455(6),3395(7),363235(6)]),flip(a)]. 622592 L(x,((((y \ z) * y) \ u) * w) \ v5,v6) = L(x,((z \ u) * w) \ v5,v6). [para(2593(a,1),895(a,2,2,1)),rewrite([923(7),7301(8),5788(5)]),flip(a)]. 623146 a(x,y,z * (u * (L(w,v5,w) \ v6))) = a(x,y,z * (u * (w \ v6))). [para(2633(a,1),2599(a,2,3,2,2)),rewrite([2382(5),66793(7),82367(8),96208(6)]),flip(a)]. 625811 a(x,y,z * ((L(u,w,u) \ v5) * v6)) = a(x,y,z * (v6 * (u \ v5))). [para(2647(a,1),796(a,1,3,2)),rewrite([873(5),2388(9),531147(9),793(10),623146(10)])]. 626414 L(x,y \ L(z / u,w,v5),v6) = L(x,y \ L(u \ z,w,v5),v6). [para(6283(a,1),2693(a,1,2,2)),rewrite([78021(7),10387(5)])]. 626486 L(x,y \ L(z \ 1,z,u),w) = L(x,y \ (u \ (z \ u)),w). [back_rewrite(436570),rewrite([626414(5)])]. 628584 (((x * y) * x) * z) \ ((x * y) * x) = (y * z) \ y. [para(2711(a,2),6154(a,1,2,1)),rewrite([229822(10),256499(10),6154(5),13517(10),502(5),502(8)]),flip(a)]. 629864 R(R(x,y,x),z,u) \ (L(x,y,x) \ w) = x \ (R(x,z,u) \ w). [hyper(6259,a,2645,a(flip),b,2740,a),rewrite([12603(6),12603(5),514(4),5129(3)]),flip(a)]. 630697 (1 / (x \ y)) \ (1 / (1 / (y \ x))) = (x \ y) * (y \ x). [para(4652(a,1),9316(a,2,2)),rewrite([813(5),8858(5),20(3),460627(5)]),flip(a)]. 632697 (1 / x) * (y * K(z,x \ (z \ y))) = z * (((1 / x) * y) / z). [hyper(1466,a,10088,a,b,11141,a(flip)),rewrite([153(13),474(8),5206(7),19(4),496(5),20(3),3277(2),5297(8),22503(8),5206(8),19(7),1105(7),682(7)])]. 632934 (x / y) * T(((y \ x) \ 1) \ 1,y) = (y \ x) / ((y \ x) \ 1). [para(4043(a,1),4432(a,1,2)),rewrite([3379(7),13592(7),20(5),2187(5),853(4),1695(4),2299(7),856(5),174596(5),741(13),3176(12)]),flip(a)]. 632937 (x \ a(y,z,x)) * (x \ a(y,z,x)) = (L(x,z,y) \ 1) / L(x,z,y). [para(9354(a,2),4043(a,2,1)),rewrite([4043(6),9485(11),425913(11)])]. 633360 x * (T(T(x,y),y) \ (z \ (T(T(x,y),y) * u))) = z \ (x * u). [para(2190(a,1),5132(a,2,2)),rewrite([3494(6)])]. 633481 R(x,y,z) * (x \ (x \ u)) = (a(x,y,z) \ x) \ u. [hyper(152,a,4973,a,b,5517,a),rewrite([8201(4),4936(3),4973(5),250928(5),8199(8)])]. 633490 (x \ (a(y,x,x) \ y)) \ z = a(y,x,x) * ((x \ y) \ z). [hyper(152,a,244501,a(flip),b,5517,a),rewrite([8201(5),522960(4),8199(9),6569(7)]),flip(a)]. 633491 a(x,y,a(z,z,u)) * (z \ w) = L(z,z,a(u,y,x)) \ w. [hyper(152,a,216414,a(flip),b,5517,a),rewrite([13597(4),20(4),13597(3),125232(4),13597(8),20(8),9090(7)])]. 633507 a(x,x,y) * ((x \ y) \ z) = (x \ L(y,x,x)) \ z. [hyper(152,a,17582,a(flip),b,5517,a),rewrite([8201(5),435502(4),8199(9),9206(7)])]. 633511 a(x,x,y) * ((y * x) \ z) = (L(y,x,x) * x) \ z. [hyper(152,a,13138,a(flip),b,5517,a),rewrite([8201(5),435503(4),8199(9),6563(7),58691(7)])]. 633512 (a(x,y,a(z,u,u)) * y) \ w = a(x,y,a(u,u,z)) * (y \ w). [hyper(152,a,12502,a(flip),b,5517,a),rewrite([13597(4),20(4),13597(3),281604(4),13597(8),20(8)]),flip(a)]. 633610 (x * y) * (((x \ 1) * y) \ z) = x * ((x \ 1) \ z). [hyper(1468,a,5517,a(flip),b,27,a),rewrite([22(11)])]. 637472 T(x,T(y \ ((z \ u) \ K(z,w)),v5)) = T(x,T(y \ (u \ T(z,w)),v5)). [para(6631(a,1),1405(a,1,2,1,2,2)),rewrite([376(2),19(6),377(10),221113(13)])]. 637899 L(x,((y / z) \ u) \ w,v5) = L(x,((z \ y) \ u) \ w,v5). [para(7984(a,1),905(a,1,2,1,1)),rewrite([151182(9),905(8)]),flip(a)]. 638316 (x \ a(y,z,y)) * (u \ 1) = (x \ 1) * (u \ a(y,z,y)). [para(2367(a,1),5516(a,2,2)),rewrite([6750(4),508(6)])]. 639139 ((x * (y \ 1)) \ x) * T(z,y) = z * ((x * (y \ 1)) \ x). [hyper(1467,a,7794,a,b,511,a),rewrite([7794(5),1007(9),372(7),12923(9),373(6),20(6)])]. 639509 x * (x * (y \ (y / x))) = (y * (x \ 1)) \ y. [para(5570(a,1),7794(a,1,2,1)),rewrite([24993(5),5848(4),391(8),5512(10),243171(8),117049(7),11448(5),24993(9),5848(8),5511(11),29(10),24993(13),5848(12),5510(13),502(10)])]. 639951 a(x,y \ ((z * u) * (z \ 1)),w) = a(x,y \ L(u,z,z),w). [para(12259(a,1),820(a,1,2,2)),rewrite([6688(6),8303(4),19(3),97578(4),820(10)]),flip(a)]. 640002 R(x,y,((z * u) * (z \ 1)) * w) = R(x,y,L(u,z,z) * w). [para(12259(a,1),1842(a,1,3,1)),rewrite([7546(6),8303(4),19(3),95848(4),1842(10)]),flip(a)]. 640045 R(x,y,z * ((u * w) * (u \ 1))) = R(x,y,L(w,u,u) * z). [para(12259(a,1),6388(a,1,3,2)),rewrite([7547(6),8303(4),19(3),126227(4),6388(10)]),flip(a)]. 640377 L(x,y,L(z * u,z \ 1,z) \ w) = L(x,y,(z * L(u,z,z)) \ w). [para(14620(a,1),9632(a,1,3,1,2)),rewrite([9781(6),553289(6),919(10),3264(10),881(8)]),flip(a)]. 640408 L(x,y,L((1 / z) * u,w,v5) \ v6) = L(x,y,L(z * u,w,v5) \ v6). [para(5819(a,2),9632(a,2,3,1)),rewrite([6451(4),22(2),4842(4),5876(7),3262(6),4842(10)]),flip(a)]. 640453 L(x,y,L((z \ 1) * u,z,z) \ w) = L(x,y,(z \ u) \ w). [para(6374(a,1),9632(a,1,3,1,2)),rewrite([24(3),6051(3),919(10),921(10),881(10),2008(10),81843(10),371181(10),550495(8),567915(10)]),flip(a)]. 640454 L(x,y,L(L(z,u,w),u,w) \ v5) = L(x,y,z \ v5). [para(6498(a,1),9632(a,2,3,1)),rewrite([7468(5),8605(4),6051(6),4679(6),6051(8),4679(8)])]. 640459 L(x,y,L(1 / z,u,w) \ v5) = L(x,y,L(z,u,w) \ v5). [para(13434(a,1),9632(a,1,3,1,2)),rewrite([9238(2),4842(3),5851(7),20(7),4842(8)]),flip(a)]. 640534 L(x,y,L((z * z) \ u,z,z) \ w) = L(x,y,L(u,z \ 1,z) \ w). [para(3436(a,2),9632(a,1,3,1,2)),rewrite([9781(8),553320(8),567915(6),919(10),99974(10),881(8),6268(8)])]. 640786 x \ L(x * L(x \ 1,y,z),u,w) = L(x \ 1,y,L(z,u,w)). [para(14423(a,2),5446(a,2,2,1)),rewrite([246779(8),13273(9),9419(7),14423(9)]),flip(a)]. 640807 (1 / x) * L(R(x,y,z),u,w) = x \ L(R(x,y,z),u,w). [para(9238(a,1),5446(a,2,2,1)),rewrite([13448(6),5718(8),248689(5)])]. 641788 (x * y) \ K(z,x * (z \ y)) = ((z \ (x * y)) * z) \ 1. [hyper(1465,a,6866,a,b,6722,a(flip)),rewrite([62372(7),763(8),6722(10),7271(10),1104(9),44(2),46(2),45(2),558673(9),40222(7),58(6),62372(11),328(12),5326(9),12849(9)]),flip(a)]. 642719 L(x,(y \ z) \ (u \ (y \ z)),w) = L(x,(y * z) \ (u \ (y * z)),w). [para(12340(a,1),902(a,1,2)),rewrite([400352(4),883(6),2008(5),872(14),2008(10),12283(10)]),flip(a)]. 642775 (1 / (1 / x)) * (y \ (y / x)) = (y \ (y / x)) * x. [para(12340(a,1),11028(a,1,2)),rewrite([502(4)]),flip(a)]. 642881 ((x \ (x / y)) * y) * z = a(x,y \ 1,y) \ z. [back_rewrite(298739),rewrite([642775(7)])]. 643232 x \ ((1 / T(y,z)) \ x) = T(x \ ((1 / y) \ x),z). [para(3668(a,1),12341(a,1,2,2)),rewrite([3438(7),492(4),1694(3),1500(7),9613(5),3668(10)])]. 643426 a(x,y,(z \ u) \ (w \ (z \ u))) = a(x,y,(z * u) \ (w \ (z * u))). [para(6973(a,2),910(a,1,3)),rewrite([400352(4),6973(6),778(5),778(10),10158(10)]),flip(a)]. 644200 T((x \ (x / y)) \ 1,y \ z) = (((x \ (x / y)) \ 1) \ z) \ z. [para(12427(a,2),3682(a,1,1)),rewrite([12427(7),5248(8),372(5),19(7)])]. 644820 (((x \ 1) * y) * x) * (1 / x) = R((1 / x) * y,x,x \ 1). [para(9724(a,1),3849(a,2,1)),rewrite([153(10,R),22(7),14782(14)])]. 644963 T(x \ 1,y) * R(y,x \ 1,x) = (x \ 1) * (((1 / x) * y) * x). [para(9724(a,1),2487(a,2,2)),rewrite([9743(10),3984(7)])]. 645582 (x \ L(y,z,u)) \ L(y,z,u) = (x \ y) \ y. [hyper(1466,a,7887,a(flip),b,2900,a),rewrite([100723(11),228292(13),55362(12),4289(11),144025(12),3209(8),503(6),3096(12),749(8),1742(8),19(6),380(5),378(6),100723(10),100723(16),774(12),513606(12),682(14),3096(14),749(10),1742(10),19(8),380(7),378(8)])]. 648495 (((x \ y) / y) \ z) * K(x \ 1,x) = (1 / (1 / ((x \ y) / y))) \ z. [para(3944(a,1),12421(a,1,1,1)),rewrite([3944(8),67035(11),73207(11),273255(11),20(7),155(7),5795(8),407(8),5900(6),374(4),3944(14)])]. 651567 (x \ L(y,z,u)) / T(y,x \ 1) = y \ (x \ L(y,z,u)). [hyper(1466,a,3245,a(flip),b,2442,a(flip)),rewrite([305(6),6238(7),155(6)])]. 651725 K(x,y \ 1) * ((y \ x) \ 1) = (y \ x) \ K(x,y \ 1). [para(3245(a,1),3155(a,2,1)),rewrite([22(3),3153(4),774(12)]),flip(a)]. 651963 (x \ K(y \ z,y)) \ K(y \ z,y) = T((x \ 1) \ 1,K(y,z)). [hyper(6259,a,10291,a,b,4398,a),rewrite([866(7),330(8),1742(7),991(6),2315(7),866(9),10291(17),10652(16),1104(15),853(9),288319(15),20(13)]),flip(a)]. 652607 a(((x * (y \ 1)) * z) \ u,w,v5) = a(((x * y) * z) \ u,w,v5). [para(4398(a,1),2511(a,1,1,1,2)),rewrite([6552(8),6552(15),619832(13),6552(12)])]. 652654 x / (a(y,z,y \ 1) \ u) = (x / u) * a(y,z,y \ 1). [hyper(1832,a,10746,a(flip),b,916,a(flip)),rewrite([21(7)])]. 657523 T(a(x,y,z) * (u / L(z,w,v5)),z) = a(x,y,z) * (L(z,w,v5) \ u). [para(6537(a,1),1998(a,1,1)),rewrite([9794(4),298(10)]),flip(a)]. 657933 T(a(x,y,z) * L(u,z,a(x,y,z)),z) = z \ (u * (z * a(x,y,z))). [para(6554(a,1),7170(a,1,2,1,1)),rewrite([8105(3),13123(5),9308(4),5284(8),5242(8),65012(9)]),flip(a)]. 658072 ((x * (y \ 1)) * a(z,u,y)) / (y \ a(z,u,y)) = L(x,y,a(z,u,y)). [hyper(1832,a,6573,a(flip),b,3748,a),rewrite([243578(5),5238(12),3264(12),6554(10)])]. 658166 (x \ a(y,z,x)) \ ((x \ 1) * u) = L(x,z,y) * (x \ u). [para(6573(a,1),3580(a,2,1)),rewrite([303(4),3264(6),6554(4),346756(4)]),flip(a)]. 658213 a(x,y,z) * L(u,z,a(x,y,z)) = z * (L(z,y,x) \ u). [para(6573(a,1),6217(a,1,1,2)),rewrite([243579(5),658072(8),13123(4),5238(8),3264(8),6554(6)]),flip(a)]. 658242 x \ (y * (x * a(z,u,x))) = L(x,u,z) \ (y * x). [back_rewrite(657933),rewrite([658213(4),2836(4)]),flip(a)]. 658244 L(x,y,y) \ (z * x) = T(z * a(y,y,x),x). [back_rewrite(540766),rewrite([658242(4)])]. 658459 R(1 / x,y,x) \ a(z,u,x) = L(x,y,x) * a(z,u,x). [hyper(507,a,2689,a,b,6578,a),rewrite([2079(3),2689(4),3423(6),2079(8)]),flip(a)]. 658676 x \ ((x * a(y,z,x)) * u) = x * (L(x,z,y) \ u). [para(6578(a,2),6904(a,1,3)),rewrite([8201(4),6578(9),11788(8),8380(7),20(5),13268(5),2079(4),13449(4),246803(8),6496(6)]),flip(a)]. 658766 a(x,(L(y,z,u) \ 1) \ w,v5) = a(x,(y \ a(u,z,y)) \ w,v5). [para(6580(a,1),935(a,2,2,1)),rewrite([1488(6),250031(4),97546(5)])]. 658806 L(x,y,z) * (x \ (x \ u)) = (x * a(z,y,x)) \ u. [para(6580(a,1),5644(a,1,1)),rewrite([24993(7),5846(6),658166(7),391(8)])]. 658816 (L(x,y,z) \ 1) \ (u * (x \ a(z,y,x))) = T(u,x \ 1). [para(6580(a,1),5599(a,1,1,1,2,2)),rewrite([299(8),3264(12),6554(10),346756(10),8254(9),299(11),21(11),6580(11),5547(10)])]. 660872 (x / T(y,x \ y)) * x = x / (y / x). [para(6623(a,1),4566(a,2,1,2)),rewrite([919(7),21(6),8303(5),561291(5),22(3),23(3)]),flip(a)]. 662364 T(x,y) * (y / (x * y)) = x * (y / (y * x)). [para(3056(a,1),6627(a,1,2))]. 664011 T(x,y) \ (x / (z * x)) = x \ (x / (z * T(x,y))). [para(3056(a,2),6630(a,1,2)),rewrite([3056(6),7094(5)])]. 664225 (L(T(x,y),z,u) * w) \ L(T(x,y),z,u) = (L(x,z,u) * w) \ L(x,z,u). [para(31(a,1),6715(a,1,1,1)),rewrite([31(5)])]. 664271 (x * (T(x,T(y,z)) * z)) \ T(T(x,z),y) = (x * (z * x)) \ x. [para(1593(a,1),6715(a,2,1)),rewrite([40226(4),327254(11)])]. 664598 (((x * y) * y) * z) \ ((x * y) * y) = (x * z) \ x. [para(11012(a,1),6715(a,1,1,1)),rewrite([980(6),2098(8),9244(8),502(3),502(6),980(8),763(10),980(12),679(14),153422(11),682(14),48(13),20(10)])]. 664722 (x * a(y,z,u)) / T(1 / w,x * w) = (1 / w) \ (a(y,z,u) * x). [hyper(1832,a,6741,a,b,292,a(flip)),rewrite([5292(8),5282(8)])]. 669825 (x / (x / y)) * (K(x,y) * z) = (T(x,y) / (x / y)) * z. [para(6867(a,2),3340(a,1,1,1)),rewrite([233914(4),1096(9),492(8)]),flip(a)]. 670220 (((x * y) \ x) * y) * y = L(y,y \ 1,x * y). [para(6882(a,1),6867(a,2,2,2)),rewrite([21(4),491115(14),1473(11),6880(12),463171(12)])]. 671290 ((x * (y \ 1)) \ x) * (y \ 1) = y * (x \ (x / y)). [para(6972(a,1),5570(a,2,2)),rewrite([24993(5),5848(6),11448(5),639509(4),391(11)])]. 671698 L((x * y) \ y,z,y * (x \ y)) = L((x * y) \ y,z,x). [para(6974(a,2),5540(a,1,3,2)),rewrite([5786(8),29(4),927(4),5523(8),316712(8)]),flip(a)]. 672109 (x \ (y / z)) * (K(u,z) * w) = (x \ (y / T(z,u))) * w. [para(6975(a,1),1014(a,1,1,2)),rewrite([1787(4),168697(3),28652(4),12639(4),289244(7),94869(4),155(2)]),flip(a)]. 672196 (x / y) \ T(y,y \ (y \ x)) = ((y \ (x / y)) * y) \ y. [para(6975(a,1),6865(a,2,2)),flip(a)]. 675767 L(x,((y \ z) \ L(z,u,z)) \ w,v5) = L(x,y \ w,v5). [para(6991(a,1),903(a,1,2,1)),rewrite([67019(3),38844(4),11116(5)]),flip(a)]. 677978 a(x,y,z) * ((a(x,y,z) \ 1) / u) = a(x,y,z) \ (a(x,y,z) / u). [para(4191(a,1),7097(a,1,2,1)),rewrite([9428(8),20(3),20(4),13110(12)]),flip(a)]. 680701 T(x,y * (z \ (u \ (w \ z)))) = T(x,y / T(w * u,z)). [para(6191(a,1),7133(a,1,2,2,2)),rewrite([5251(6),12164(5),12164(5)])]. 680736 (((x \ y) / y) * x) \ T((((x \ y) / y) * x) * z,u) = T(z,u). [hyper(1832,a,5311,a,b,7214,a),rewrite([299(8),5266(8),333980(7)]),flip(a)]. 685331 (x * R(y,z,u)) * ((y * x) / y) = R((y * x) * x,z,u). [hyper(507,a,5799,a,b,7235,a),rewrite([5163(4),3516(3),170444(9)]),flip(a)]. 685457 R(x * y,x,y) = (y / x) \ (y * y). [para(7235(a,1),71269(a,1,2,1)),rewrite([8314(5),992(6),21(6)]),flip(a)]. 685556 (x * ((x * y) * x)) / T(x,y) = x * (y * L(x,x * y,x)). [para(7235(a,1),4128(a,1,1,2)),rewrite([472104(8),2487(4),919(11),21(10),541815(11),213(10),21(7)])]. 685729 R(x,y,L(R(z,u,w),v5,v6)) = R(x,y,L(L(z,u,w),v5,v6)). [para(35(a,1),7328(a,2,3)),rewrite([34(2)])]. 686561 a(x,y,z) * (1 / R(x,u,w)) = a(x,y,z) / R(x,u,w). [hyper(1832,a,7455,a(flip),b,3867,a(flip)),flip(a)]. 686614 a(x,y,z) \ (R(x,u,w) * v5) = R(x,u,w) * (a(x,y,z) \ v5). [para(7455(a,1),5624(a,1,2,1)),rewrite([32(8),80102(9)])]. 686615 a(x,y,z) \ (u * R(x,w,v5)) = (a(x,y,z) \ u) * R(x,w,v5). [para(7455(a,1),5519(a,1,2)),rewrite([299(3),8199(4),299(7),8199(10)]),flip(a)]. 686617 L(R(x \ K(y,z),u,w),v5,a(x,v6,v7)) = R(x \ K(y,z),u,w). [para(97664(a,1),7455(a,1,3))]. 687920 T(x * (L(T(x,y),z,u) \ w),K(x,y)) = (w / L(T(x,y),z,u)) * x. [para(1484(a,1),35518(a,1,1,2)),rewrite([113962(10),502(11)])]. 689157 T(x,y) * ((z * z) * (x * u)) = x * ((z * z) * (T(x,y) * u)). [hyper(1468,a,47284,a(flip),b,12669,a),flip(a)]. 697303 L(x,y * (R(T(z,u),w,v5) \ v6),v7) = L(x,y * (R(z,w,v5) \ v6),v7). [para(103868(a,1),901(a,2,2,1)),rewrite([32(2),89834(5),5785(7),5785(11)])]. 698205 ((x \ y) / x) * L(x,z,u) = (x * a(u,z,x)) \ y. [para(76900(a,2),512(a,2,1)),rewrite([658806(4),76900(7)]),flip(a)]. 699126 ((x \ y) * z) * T(x,x \ y) = T(((y / x) * z) * x,K(x,y)). [hyper(1465,a,2587,a(flip),b,342346,a),rewrite([1104(10),853(3),115789(10),1742(6),991(5),2315(6)]),flip(a)]. 703805 a(x \ (y * ((z * z) \ u)),w,v5) = a(x \ (u * y),w,v5). [para(201355(a,1),822(a,1,1,2,2)),rewrite([460331(12),502550(12),4725(10)])]. 703871 (1 / x) / ((y / x) \ (y / (y / x))) = ((1 / x) * (y / x)) / x. [para(36730(a,1),201355(a,1,2)),rewrite([5650(12)])]. 703895 (x * x) \ (y / (y / (y / x))) = ((1 / x) * (y / x)) / x. [para(48887(a,1),201355(a,1,2)),rewrite([703871(7)]),flip(a)]. 704172 a(a(x,x,y) * (z * (x \ y)),u,w) = a(z * (x * y),u,w). [para(202901(a,1),1475(a,1,1,1)),rewrite([832(5),559460(5),827(8)]),flip(a)]. 704193 a(x,x,y) \ ((y / x) * z) = (y / x) * (a(x,x,y) \ z). [para(202901(a,1),5624(a,1,2,1)),rewrite([5274(9)])]. 705073 L(x,y \ ((z \ u) \ z),w) = L(x,y \ ((u \ z) * z),w). [para(243830(a,1),2008(a,1,2,2)),rewrite([10099(4),436510(9),10648(8)]),flip(a)]. 705943 a(x \ y,z,(x \ 1) \ u) = a(y * x,z,u * x). [para(10641(a,1),245508(a,1,1,1)),rewrite([845(7),11506(5),21(2),8870(7),372167(7)]),flip(a)]. 706015 a(x * y,y \ x,x) \ (y \ x) = (x / ((y \ x) * x)) \ 1. [hyper(1832,a,245524,a(flip),b,5315,a),rewrite([299(5)])]. 706158 a(x,y,x * (z \ 1)) = a(x,y,z \ x). [para(71268(a,1),245524(a,2,1)),rewrite([29(4),95746(7),3262(5),786(7),851(7),3279(6),95746(11),3262(9),786(11),13265(11),9506(11),851(8)])]. 708061 L(x,L(y,z,u),y \ w) = L(x,L(y,z,u),w * y). [para(2832(a,1),8303(a,2,3)),rewrite([4906(6),8573(6),640454(5)])]. 708130 T(x * y,z) / L(y,u,w) = L(y,u,w) \ T(y * x,z). [para(2832(a,1),4274(a,1,1,1)),rewrite([4919(10),22(9)])]. 708720 L(x,L(y,z,u) \ (w * y),v5) = L(x,y * (L(y,z,u) \ w),v5). [para(2836(a,1),883(a,1,2))]. 708741 R(x,y,L(z,u,w) \ (v5 * z)) = R(x,y,z * (L(z,u,w) \ v5)). [para(2836(a,1),1860(a,1,3))]. 709630 L(((x \ y) \ z) \ z,x,x) = (((1 / x) * y) \ z) \ z. [para(3277(a,1),2867(a,1,1,1)),flip(a)]. 712776 (x * R(y,z,u)) * x = R((x * y) * x,z,u). [hyper(1465,a,7235,a,b,2947,a),rewrite([170444(7),685331(6),1104(5),769(5),2478(4)]),flip(a)]. 713531 a(x,y,z \ (((u / z) \ 1) \ z)) = a(x,y,(u \ z) \ 1). [para(2958(a,1),813(a,1,3)),rewrite([910(6),10149(6),9670(6),21(11),910(10)])]. 713532 a(x,(y \ z) \ 1,y \ z) = a(x,z \ y,(z \ y) \ 1). [para(2958(a,2),14896(a,2,3)),rewrite([19(2),377(9),14782(10),10399(9),12123(9),1848(9),7914(9),225346(9),1859(5),10683(5),9234(6),2958(13),910(14),10149(14),9670(14),713531(14),818(12),6398(12),10277(12),459470(12)])]. 713599 R(x,y,((z / (z * (u / z))) \ 1) * w) = R(x,y,((z / u) \ 1) * w). [para(2958(a,1),1844(a,1,3,1)),rewrite([21(12)])]. 713646 L(L(x,y,z),u,w) / x = x \ L(L(x,y,z),u,w). [para(2454(a,1),2958(a,1,1,2,1)),rewrite([12472(5),22(4),4530(7),3154(5),22(6),2454(6),12472(8)])]. 714159 a(x,y,y \ 1) * (z * ((x * y) \ x)) = z * (y \ 1). [hyper(1832,a,2962,a,b,4474,a),rewrite([2962(7),13616(7),6413(11),84917(11),4356(11)])]. 714270 T(x \ (x / y),z) * (y * K(z,y \ 1)) = (x \ (x / y)) * y. [para(7058(a,2),2962(a,2,2,1)),rewrite([6057(9),22(5),492(4),10926(4),774(12),492(11),3087(10),1097(9)]),flip(a)]. 714494 ((x \ y) * (y \ x)) \ T(z,u) = T(((x \ y) * (y \ x)) \ z,u). [hyper(1832,a,2965,a,b,4598,a),rewrite([261(9),5442(9),22(4),2965(5),10028(5),10028(9)])]. 714497 T(x,y) * ((z \ u) * (u \ z)) = T(x * ((z \ u) * (u \ z)),y). [hyper(1468,a,2965,a,b,7214,a),rewrite([714494(9),21(8),2965(5)])]. 714629 (x * y) \ ((x * y) / (y \ x)) = (y \ x) \ 1. [para(2965(a,2),6376(a,1,3)),rewrite([2965(8),5089(8),83395(7),9428(8)]),flip(a)]. 714665 ((x \ y) * (y \ x)) / ((y \ x) \ 1) = ((x \ y) * (y \ x)) * (y \ x). [para(2965(a,2),6422(a,1,1)),rewrite([2965(4),9428(8),714629(8)])]. 715987 a(x,y,(z * z) * (u * (w \ 1))) = a(x,y,(w \ (z * z)) * u). [para(2978(a,1),806(a,2,3)),rewrite([763(6),2143(5),793(6),96210(6),785(12),11758(12),442779(12)])]. 716744 a(x,y \ ((z \ (1 / z)) \ u),w) = a(x,(z * z) * (y \ u),w). [para(3396(a,1),2992(a,1,2,1,1)),rewrite([3395(4),5728(3),55728(4),427582(9)]),flip(a)]. 716776 a(x,(y \ (z \ T(u,w))) \ v5,v6) = a(x,(y \ (z \ u)) \ v5,v6). [para(2124(a,1),2992(a,2,2,1)),rewrite([774(5),52423(6),10142(4)]),flip(a)]. 717682 ((x / y) \ z) * (z \ (x / y)) = ((y \ x) \ z) * (z \ (y \ x)). [hyper(152,a,5805,a(flip),b,3040,a),rewrite([2006(11),10683(11),6646(11),589940(12)])]. 717716 R(x / y,z,u) * ((x / y) \ w) = R(y \ x,z,u) * ((y \ x) \ w). [para(3040(a,1),5823(a,1,1,1)),rewrite([13408(5),3040(7),2535(10),7684(10),4175(10),9237(7),13268(8),2079(7),124130(7),5124(10)]),flip(a)]. 717732 R((x * y) \ y,z,u) \ ((x * y) \ y) = L(a(x,z,u) \ 1,x,y). [para(3811(a,1),3040(a,2,1,1)),rewrite([762(6),19641(6),762(11),19641(11),562464(10),851(4),850(3),3266(3),3811(14),6301(12)]),flip(a)]. 718368 L(x * ((y \ z) / x),y,y) = x * (((1 / y) * z) / x). [hyper(1468,a,3048,a,b,3275,a),rewrite([632697(7)]),flip(a)]. 722745 (x \ y) * (((y / x) \ 1) \ z) = y * ((((x \ y) \ 1) * x) \ z). [hyper(1468,a,5515,a,b,2594,a(flip)),rewrite([29(7),869(5),491400(6)]),flip(a)]. 722886 (L(L(x,y,z),y,z) * (x \ u)) \ 1 = u \ (a(z,y,x) * a(z,y,x)). [para(296(a,1),5515(a,2,2,2)),rewrite([8199(6),246818(4)])]. 722966 x * (L(x,y,z) \ ((x \ 1) \ u)) = (x \ (a(z,y,x) \ 1)) \ u. [para(3154(a,2),5515(a,1,1,2)),rewrite([3154(4),9315(5),6569(4),4906(11)]),flip(a)]. 723098 x * ((((y \ x) \ 1) * y) \ 1) = (y \ x) / ((x / y) \ 1). [back_rewrite(501450),rewrite([722745(7)])]. 723099 (x / y) * (((y \ x) \ 1) \ z) = x * ((((y \ x) \ 1) * y) \ z). [back_rewrite(4446),rewrite([722745(12)])]. 723253 (((x \ y) \ 1) / (y / x)) * z = ((x \ y) \ 1) * ((y / x) \ z). [para(4716(a,1),5500(a,1,1,2)),rewrite([568673(7),3610(14),68814(14),21(12)])]. 723254 (((x / y) \ 1) / (y \ x)) * z = ((x / y) \ 1) * ((y \ x) \ z). [para(4717(a,1),5500(a,1,1,2)),rewrite([568674(7),68701(14),379(11),503(11)])]. 723262 R(x,y,z) * (L(L(z,y,x),y,x) * (z \ u)) = (a(x,y,z) \ x) * u. [para(13445(a,1),5500(a,1,1,2)),rewrite([8199(4),686614(10),8199(11),686614(9),246818(8)]),flip(a)]. 723551 (x \ 1) \ (y * R(y \ ((x \ 1) / x),z,u)) = x \ a(y,z,u). [hyper(1465,a,13434,a(flip),b,5511,a(flip)),rewrite([3533(5),2312(3),313802(10),24993(9)]),flip(a)]. 723564 x * ((x \ 1) \ ((y * (x \ 1)) * z)) = (x * T(y,x \ 1)) * z. [para(29(a,1),5511(a,1,1,2)),flip(a)]. 725717 R(R(1 / x,y,z),x,u) \ (u / (x * u)) = L(a(x,y,z) \ 1,x,u). [para(5889(a,2),1828(a,2,1)),rewrite([1828(6),3040(6),717732(6)]),flip(a)]. 729759 a(x,y,L(z,u \ w,u * w)) = a(x,y,L(z,u * w,u * w)). [para(247(a,2),4737(a,1,1)),rewrite([247(9),10140(10),13256(9),4679(7),7892(5),10140(12),621187(11),97938(9),81843(7)]),flip(a)]. 731969 R(x,y,z \ ((u \ 1) * (u \ w))) = R(x,y,(u * u) \ (z \ w)). [para(5502(a,1),1859(a,1,3)),rewrite([10529(6),362547(6)]),flip(a)]. 732000 (x \ K(x,y)) * (x \ y) = ((x \ 1) * y) / x. [para(3921(a,1),5502(a,2,2)),rewrite([21(4),1488(10)]),flip(a)]. 732569 (x * T(x,y)) \ (T(x,z) / u) = (K(x,z) / T(x,y)) / u. [para(3851(a,1),5650(a,1,2,1)),rewrite([4044(3),762(7),37545(8),574420(5),379(1),199383(7),41606(10)])]. 732622 K(x,y) * (((1 / z) * u) / w) = ((K(x,y) / z) * u) / w. [para(5650(a,2),762(a,2,2)),rewrite([9612(5),5650(9)]),flip(a)]. 732624 a(x,y \ ((z \ K(u,w)) * v5),v6) = a(x,y \ ((z \ 1) * v5),v6). [para(5650(a,1),819(a,2,2)),rewrite([5876(6),37501(6),5650(5),732622(6),818(5),8638(5),818(10),8638(10)])]. 732670 a(x,(y * y) \ (z \ (y * u)),w) = a(x,z \ ((y \ 1) * u),w). [para(5650(a,1),940(a,2,2)),rewrite([10179(6),940(6),818(10),8638(10)])]. 733048 (x * x) * (a(y,z,u) \ (((x * x) \ w) * v5)) = a(y,z,u) \ (w * v5). [hyper(1468,a,299,a(flip),b,5649,a(flip)),rewrite([299(10)])]. 734827 (x * x) * (T(1 / (1 / y),z) * u) = ((x * x) / (1 / T(y,z))) * u. [para(60(a,1),5860(a,1,2,1))]. 735096 a(((((x * x) / y) * z) * u) * w,v5,v6) = a(w * ((z * y) * u),v5,v6). [para(5860(a,1),2479(a,1,1,1,1)),rewrite([535775(14),612968(12)])]. 735127 a(x,(y * y) * (z * (u \ 1)),w) = a(x,(u \ (y * y)) * z,w). [para(5860(a,1),2508(a,1,2)),rewrite([2332(4),2326(10)]),flip(a)]. 735128 L(x,y,z * ((u \ (w * w)) * v5)) = L(x,y,(v5 * u) * z). [para(5860(a,1),2509(a,1,3,2)),rewrite([9785(5),540951(12),6295(10),289137(10)])]. 735129 L(x,y,z * (u * (w \ (v5 * v5)))) = L(x,y,(u * w) * z). [para(5860(a,2),2509(a,1,3,2)),rewrite([5860(5),9785(5),735128(5),6342(8)]),flip(a)]. 735642 a(x * ((y \ (z \ 1)) * u),w,v5) = a(x * (u * (y \ z)),w,v5). [para(11487(a,1),2479(a,1,1,1,1)),rewrite([455857(6),613096(6),763(10),98130(12),10448(10)]),flip(a)]. 735716 a(x,x * (y \ 1),a(y,z,u)) = a(y,x \ y,a(x,z,u)). [back_rewrite(52559),rewrite([735642(6),203904(4)]),flip(a)]. 737122 (x \ (y \ z)) / T(y \ z,y) = (x \ (z / y)) / (y \ z). [hyper(1466,a,4463,a,b,3838,a),rewrite([2006(5),1105(8),770(8),190744(8),19(4)])]. 737285 a(x,y,z * (u * ((w / v5) \ v6))) = a(x,y,z * (u * ((v5 \ w) \ v6))). [para(3838(a,1),791(a,1,3,2,2)),rewrite([793(5),793(10)])]. 737286 a(x,y,(z \ ((u / w) \ v5)) * v6) = a(x,y,(z \ ((w \ u) \ v5)) * v6). [para(3838(a,1),798(a,2,3,1,2)),rewrite([679(7),763(8),807(9),801(6),800(5),800(10)]),flip(a)]. 737392 R(x,y,((z / u) \ w) * v5) = R(x,y,((u \ z) \ w) * v5). [para(3838(a,1),1840(a,2,3,1)),rewrite([763(7),97380(8),1842(5),1844(4),1844(8)]),flip(a)]. 737551 R(x,y,(((z * (u / z)) \ z) \ 1) * w) = R(x,y,((u \ z) \ 1) * w). [back_rewrite(713599),rewrite([737392(7),737392(12)])]. 737557 R(x,y,((z \ K(u,w)) \ v5) * v6) = R(x,y,((z \ 1) \ v5) * v6). [back_rewrite(362567),rewrite([737392(5),737392(10)])]. 738067 R(x \ 1,x \ 1,y * x) = R(1 / x,x,y). [para(29(a,1),10846(a,2,3)),rewrite([1860(10)])]. 738194 a(x,y,L(z \ 1,z,u * z)) = a(x,y,L(z \ 1,z,u)). [para(10846(a,1),2536(a,1,3)),rewrite([2536(5),8303(4),783(5),9855(11)])]. 738434 (x \ K(x * y,x \ 1)) \ T(y,z) = (y / (x \ 1)) * K(y,z). [hyper(1466,a,10620,a(flip),b,2967,a),rewrite([1105(7),437221(7),379(1),128761(6),108312(11),10537(11),137110(10)]),flip(a)]. 738531 a(x * (y \ ((z \ 1) \ u)),w,v5) = a((y \ (z \ u)) * x,w,v5). [para(10620(a,1),838(a,2,1,1,2)),rewrite([738434(7),679(6),763(7),7371(8),7556(6),835(12),5109(12)])]. 738981 L(x,y,z * (((u \ 1) * w) \ v5)) = L(x,y,((u * w) \ v5) * z). [para(4649(a,1),888(a,1,3,2)),rewrite([553273(6)]),flip(a)]. 740355 K(x \ 1,x) * ((T(x,y) \ z) / z) = T((T(x,y) \ z) / z,x). [para(2553(a,1),10874(a,1,1))]. 745256 T(1 / x,x \ y) \ K(x \ 1,y) = R(x,y,x \ 1). [para(9934(a,1),2910(a,2,2,1)),rewrite([853(5),1787(5),976(4,R),16337(5),1577(4),979(3),387849(8),23(14),2457(13),246176(13)])]. 747219 (a(x,x \ 1,y) / x) \ z = (1 / (1 / ((x \ y) / y))) \ z. [para(5313(a,1),11494(a,1,1,2,1)),rewrite([6114(8),374(6),392406(8),5900(11),374(9),648495(12)])]. 747979 L(x,y,z * (u \ ((1 / w) \ u))) = L(x,y,z * (u \ ((w \ 1) \ u))). [para(11719(a,1),2568(a,1,3,2)),rewrite([9967(6),12180(11),11569(13),10105(12)]),flip(a)]. 748175 R(x,y,z) / (a(x,y,z) * L(x,u,w)) = a(w,u,x). [hyper(1466,a,7469,a(flip),b,9341,a),rewrite([7328(4),13307(4),2864(3),2079(3),9637(4)])]. 748301 a(x,a(y,z,L(u,x,w)),w) = a(x,a(u,z,y),w). [hyper(507,a,9849,a,b,8031,a),rewrite([8871(2)])]. 748453 a(x,a(y,z,u \ (w \ 1)),v5) = a(x,a(u \ w,z,y),v5). [para(4695(a,1),8031(a,1,2)),flip(a)]. 748454 a(x,a(y,z,u * (w \ 1)),v5) = a(x,a(u * w,z,y),v5). [para(4735(a,1),8031(a,1,2)),flip(a)]. 748692 L(x,a(y,z,u),w) != x | a(w,a(u,z,y),x) = 1. [para(8032(a,1),142(a,1))]. 748711 L(x,a(y * z,u,w),v5) = L(x,a(w,u,z * y),v5). [para(809(a,1),8032(a,1,2)),flip(a)]. 748739 L(x,a(y * z,u,y),w) = L(x,a(y,u,y \ z),w). [para(8326(a,1),8032(a,1,2))]. 748740 L(x,a(y,z,y \ u),w) = L(x,a(y,z,y * u),w). [para(8326(a,2),8032(a,1,2)),rewrite([8326(2),748739(3)])]. 748753 L(x,a(y,z \ 1,z),u) = L(x,a(z,z,y),u). [para(5313(a,2),8032(a,1,2)),rewrite([5313(3),335427(4)]),flip(a)]. 748800 L(x,a(y,z,u \ y),w) = L(x,a(y,z,y * u),w). [para(245524(a,1),8032(a,1,2)),rewrite([748739(3),748740(3)]),flip(a)]. 749165 R(x,y,z) * a(x,x,u) = a(x,y,z) * R(x,x,u). [para(9235(a,1),8041(a,1,1))]. 749750 L(x,(y \ 1) \ z,y) = L(x,y * z,y). [hyper(1465,a,8043,a,b,14822,a),rewrite([121058(6),5873(8),5876(7),3262(2),10050(7),5967(8),3264(6),251617(7)])]. 749787 R(x,x,y) * ((x * y) * z) = x * (((1 / x) \ y) * z). [hyper(507,a,14822,a,b,8043,a),rewrite([251617(5),14(5),354066(5),121058(8)])]. 749873 L(R(x,x,L(y,z,u)),z,u) * (L(x,z,u) \ w) = w * a(x,x,y). [hyper(6259,a,8043,a(flip),b,513,a),rewrite([8870(3),8520(3),8599(3),8043(3),298(5),503(4),5124(3),122890(3),34(6),8211(5),583777(8)]),flip(a)]. 750149 (x \ 1) \ (y * a(x,x,z)) = a(x,x,z) * ((x \ 1) \ y). [para(8043(a,1),3681(a,1,2,2)),rewrite([5550(7),470960(7),435505(5)]),flip(a)]. 750281 (x * x) * (y * L(z,x * y,x)) = x * (((1 / x) \ y) * z). [back_rewrite(354066),rewrite([749787(9)])]. 751422 L(x,y,(z \ u) * (L(z,z,w) \ u)) = L(x,y,a(w,z,z)). [para(8050(a,1),3041(a,1,3,2)),rewrite([81843(9),8871(9),13188(8),785(10),12316(10),81627(10)])]. 751555 (x / y) \ L(x,x,z) = a(z,x,x) \ y. [hyper(152,a,5063,a,b,8051,a),rewrite([9242(4),818(3),850(3),8326(3),12749(3),23(5)])]. 752675 ((a(x,y,z) \ 1) / u) * (u * a(x,y,z)) = a(u,u,a(z,y,x)). [hyper(1832,a,8080,a,b,85743,a),rewrite([41(5),332310(5),299(4),13597(4),20(4)]),flip(a)]. 752689 a(x,y,a(z,u,L(w,v5,x))) = a(x,y,a(w,u,z)). [hyper(507,a,8789,a,b,8080,a),rewrite([8871(2)])]. 752758 a(x,y,a(z * u,w,z)) = a(x,y,a(z,w,z \ u)). [para(8326(a,1),8080(a,1,3))]. 752759 a(x,y,a(z,u,z \ w)) = a(x,y,a(z,u,z * w)). [para(8326(a,2),8080(a,1,3)),rewrite([8326(2),752758(3)])]. 752789 a(x,y,a(z,u,w * (v5 \ 1))) = a(x,y,a(w * v5,u,z)). [para(4735(a,1),8080(a,1,3)),flip(a)]. 753416 a(x,y,z) * a(u,a(x,y,z),w) = a(x * a(w,x,u),y,z). [para(296(a,1),8098(a,1,2)),rewrite([97527(4),20(3),10006(4),97527(10),20(9),8201(9)]),flip(a)]. 753795 a(x,x,a(y,a(z,x,u),w)) = 1. [para(8099(a,2),12577(a,1,3)),rewrite([299(3),8201(6),753416(4),8055(4)]),flip(a)]. 753945 (x * a(y,z,u)) * a(w,v5,a(y,z,u)) = x * a(y,z,L(u,v5,w)). [hyper(1832,a,8116,a(flip),b,25,a),rewrite([375(7),519413(9)])]. 754072 L(x,y,a(z,u,(w * w) * v5)) = L(x,y,a(v5,u,z)). [para(3260(a,1),8153(a,1,3)),flip(a)]. 754105 L(x,y,a(z * u,w,z)) = L(x,y,a(z,w,z \ u)). [para(8326(a,1),8153(a,1,3))]. 754106 L(x,y,a(z,u,z \ w)) = L(x,y,a(z,u,z * w)). [para(8326(a,2),8153(a,1,3)),rewrite([8326(2),754105(3)])]. 754148 L(x,y,a(z,u,w \ (v5 \ 1))) = L(x,y,a(w \ v5,u,z)). [para(4695(a,1),8153(a,1,3)),flip(a)]. 754182 L(x,y,a(z,u,((w \ 1) \ v5) * v6)) = L(x,y,a((w \ v5) * v6,u,z)). [para(4737(a,1),8153(a,1,3)),flip(a)]. 754475 ((1 / L(x,y,z)) * u) * L(x,y,z) = ((1 / x) * u) * x. [hyper(152,a,5831,a(flip),b,8192,a),rewrite([9130(3),37590(8),37590(6),26775(5),305(10),5429(9),78310(10),11219(11)])]. 754529 a(x,y,z) * a(x,y,a(u,w,z)) = a(x,y,L(z,w,u)). [hyper(6259,a,8199,a,b,5402,a),rewrite([8871(2),5279(6),378(4),8871(10),42509(11),20(9),8201(8)]),flip(a)]. 754588 L(L(x,y,z),y,z) * (x \ (a(z,y,x) / u)) = (a(z,y,x) \ 1) / u. [hyper(152,a,3951,a,b,8199,a),rewrite([4191(6),13110(13),677978(11),246818(10)]),flip(a)]. 754715 (a(x,y,z) \ (u * w)) \ ((a(x,y,z) \ u) * w) = a(x,y,a(z,u,w)). [para(8199(a,1),25(a,1,1)),rewrite([8199(7),3266(11),8982(9)])]. 754718 a(x,y,a(z,(u * u) * w,v5)) = a(x,y,a(z,w,v5)). [para(8199(a,1),5961(a,1,1)),rewrite([13541(5),8199(11),13541(9),14(10),5873(11),21(10),754715(7),3266(8),8982(6)]),flip(a)]. 754947 (x * y) * (a(z,u,w) \ K(y,v5)) = a(z,u,w) \ (x * T(y,v5)). [hyper(152,a,757,a,b,8200,a),rewrite([8200(6)])]. 754953 a(x,y,z) \ L(u,u,a(x,y,z)) = (a(x,y,z) / u) \ 1. [hyper(152,a,5072,a(flip),b,8200,a),rewrite([9484(6),246803(9)]),flip(a)]. 754991 (a(x,y,z) \ 1) / (a(x,y,z) \ u) = a(x,y,z) \ (a(x,y,z) / u). [hyper(1468,a,4566,a,b,8200,a(flip)),rewrite([8380(8),20(7),460(6),677978(6),8199(11)]),flip(a)]. 755082 L((a(x,y,z) * u) / w,w,a(x,y,z)) = u / (a(x,y,z) \ w). [para(8200(a,1),4357(a,2,2)),rewrite([13110(4),246803(7)])]. 755140 (x * (a(y,z,u) \ (x \ w))) / w = L(a(y,z,u) \ 1,x \ w,x). [para(8200(a,1),7272(a,1,1,1)),rewrite([13114(3),8200(10)]),flip(a)]. 755310 a(x,y,a(z,a(x,y,z) * u,w)) = a(w,u,a(z,y,x)). [para(8202(a,1),14896(a,2,3)),rewrite([541420(8),754947(8),502(6),4995(7),97527(4),8982(4),8104(8),19(7)])]. 755350 L(a(x,y,z) \ 1,u \ w,u) = L(a(x,y,z) \ 1,u * w,u). [para(8202(a,1),5593(a,1,1,1,2)),rewrite([8200(4),13114(3),499058(10),13273(11),9200(8),13114(10),8866(10)])]. 755366 (x * (a(y,z,u) \ (x \ w))) / w = L(a(y,z,u) \ 1,x * w,x). [back_rewrite(755140),rewrite([755350(10)])]. 755533 a(x,y,a(z,u,a(w,y,u))) = 1. [hyper(507,a,82002,a(flip),b,8342,a),rewrite([8982(4)]),flip(a)]. 757861 L(x,x,y) * L(x,x,z) = x * L(L(x,x,y),x,z). [para(8149(a,1),8379(a,1,2,1)),rewrite([9236(3),5941(6)])]. 758151 (x * (y \ (x \ y))) * L(z,x \ 1,x) = x * ((y \ (x \ y)) * z). [hyper(1468,a,8426,a(flip),b,27,a)]. 758206 L(x,(y \ (y \ z)) \ 1,L(z,y,y)) = L(x,(z \ y) * y,z). [para(33629(a,2),8426(a,1,2,2)),rewrite([33629(6),9586(9),12283(8),741(5,R),672196(5),6401(6),705073(6),29(4),883(5),903(4),244407(4),254211(4),9586(10)]),flip(a)]. 758217 L(x,((y \ 1) \ z) \ 1,y \ z) = L(x,z \ (y \ 1),y * z). [para(3664(a,2),8426(a,1,2,2)),rewrite([6051(9),4679(9),6503(7),2008(5),275909(5),6051(14),4679(14),637899(12)]),flip(a)]. 759454 (1 / x) * a(y,y,z) = a(y,y,z) / x. [hyper(1467,a,8430,a,b,7097,a(flip)),rewrite([303(5),8430(5),9466(4)])]. 760463 (x * a(y,x,x \ z)) \ z = L(x \ z,x,y). [hyper(507,a,10862,a,b,8436,a),rewrite([10862(5),22(7)]),flip(a)]. 760467 x / (a(y,z,z \ x) * z) = L(x / z,z,y). [hyper(507,a,6879,a,b,8436,a),rewrite([6879(5),813(4),113968(8)]),flip(a)]. 761081 T(x * a(y,x,x \ z),x \ z) = L(x \ z,x,y) \ z. [para(26028(a,1),8440(a,1,2)),rewrite([883(5),523468(5),813(9),816(9),5265(8)]),flip(a)]. 761324 R(x,x,L(L(x,y,z) \ u,y,z)) = R(x,x,L(x \ u,y,z)). [para(4815(a,1),8440(a,1,2,1)),rewrite([254679(8),8211(4),8870(8),10275(8),9238(8)])]. 761329 L((x * a(y,z,u)) \ w,a(y,z,u),x) = a(y,z,u) \ (x \ w). [hyper(5754,a,8467,a),flip(a)]. 761349 a(x,a(y,z,u),w) * w = L(w,a(y,z,u),x). [hyper(1468,a,8467,a(flip),b,9236,a),rewrite([8789(4)])]. 761412 a(x,y,a(z,u,w)) * u = u * a(w,y,a(x,u,z)). [hyper(1832,a,8500,a(flip),b,8436,a),rewrite([67087(4),8663(4),8982(2),13597(3),8982(7),8869(6)])]. 761492 a(x,y,a(z,u,w)) * y = y * a(x,u,a(w,y,z)). [back_rewrite(13751),rewrite([761412(3)]),flip(a)]. 761494 L(x * a(y,z,a(u,x,w)),y,a(u,z,w)) = L(x,a(u,z,w),y). [back_rewrite(13020),rewrite([761412(3)])]. 761510 (x * a(y,z,a(z,x,u))) \ w = a(y,x,a(z,z,u)) * (x \ w). [back_rewrite(633512),rewrite([761492(3)])]. 761519 x \ (a(y,z,a(u,u,w)) * (x * z)) = z * a(y,u,a(w,z,u)). [back_rewrite(123693),rewrite([761492(8)])]. 761524 (x * a(y,z,a(u,x,z))) \ w = x \ (a(y,x,a(u,z,z)) * w). [back_rewrite(82006),rewrite([761492(3)])]. 761625 a(x \ y,(x \ 1) * y,z) = a(x * y,x \ y,z). [para(3277(a,1),8520(a,1,2)),rewrite([2332(5),9241(9),174578(8)])]. 761638 a(x * y,(y \ 1) \ x,z) = a(x * y,x * y,z). [para(18426(a,1),8520(a,1,2)),rewrite([2332(9),492(7),900(5),4738(5),540182(3),9200(13),20(11),9241(11),10142(10),900(10),174578(10),7106(10)]),flip(a)]. 761716 a(x \ y,(x \ 1) \ y,z) = a(y * x,y * x,z). [back_rewrite(438471),rewrite([761638(10)])]. 762078 a(L(x,x \ 1,y) \ z,u,w) = a(L(x,x,y) \ z,u,w). [para(8533(a,1),4738(a,1,1)),rewrite([4843(7),5058(7),174578(10),20(7),502708(11),5002(10),334347(11),11754(9)])]. 764049 (x / y) \ R(x,x,z) = y * a(x,x,z). [hyper(152,a,5063,a,b,8539,a),rewrite([2536(4),9242(4),818(3),850(3),8326(3),12749(3),23(5)])]. 764320 L(L(x,a(y,y,z),u),u * a(y,y,z),u) = a(y,y,z) \ L(a(y,y,z) * x,u,u). [para(8539(a,2),5631(a,2,2)),rewrite([8871(2),9241(2),8539(10)]),flip(a)]. 764923 L(x / y,(y \ x) \ 1,z) = L(x / y,x \ y,z). [para(492(a,1),8541(a,1,2,2)),rewrite([903(8)]),flip(a)]. 765281 (1 / L(x,y,z)) * T(L(x,y,z) * u,x) = ((1 / x) * u) * x. [hyper(1466,a,8553,a(flip),b,5158,a(flip)),rewrite([9130(5),5544(6),5544(5),608069(7),754475(13)])]. 765291 R(x,y \ (z \ y),y \ (z \ y)) = R(x,z \ 1,z \ 1). [para(4214(a,1),8553(a,1,2)),rewrite([4214(6),2007(7),6413(6),97581(6),7914(5),6391(10),1838(10)])]. 767761 a(x,y,a(z,u,w)) * (a(w,u,z) \ y) = a(w,u,L(z,y,x)) \ y. [para(8080(a,1),8664(a,1,1)),rewrite([8871(7)])]. 767923 a(x,y,L(z,a(x,y,z) * u,w)) = a(x,y,L(z,u,w)). [para(295(a,1),8665(a,1,2)),rewrite([97527(4),97563(4),767761(5),296(4),8380(6),8871(6)]),flip(a)]. 768163 a(x,y \ z,(y \ z) \ 1) = a(x,y \ z,z \ y). [hyper(6259,a,5406,a,b,8666,a),rewrite([813(5),713532(5),764923(13),5544(13),2086(11),2185(8),1742(8),991(7),2315(8),303(7),764923(13),5406(17),13572(18),81725(12),20(11),81725(10),881(10),729759(11),783(11),82450(11)])]. 769083 a(x,(y * y) * z,a(u,w,v5)) = a(v5,w,a(u,z,x)). [hyper(507,a,5961,a,b,8716,a),rewrite([5961(11),754718(8)])]. 769087 a(x,y,a(y,z,a(u,z,w))) = 1. [hyper(507,a,280614,a(flip),b,8716,a),rewrite([8982(4)]),flip(a)]. 769216 a(x,y,a((z \ y) * y,u,w)) = a(w,u,a(z,y,x)). [para(9350(a,1),8716(a,1,3)),flip(a)]. 769572 L(x \ y,x,a(y,z,x)) = x \ y. [hyper(507,a,92926,a(flip),b,8746,a),flip(a)]. 769580 L(x * y,y,a(x,x,z)) = x * y. [hyper(507,a,42697,a(flip),b,8746,a),flip(a)]. 769581 L(x \ y,y,a(x,x,z)) = x \ y. [hyper(507,a,42668,a(flip),b,8746,a),flip(a)]. 769614 L(x,y,a(z,(u * u) * w,v5)) = L(x,w,a(z,y,v5)). [para(5961(a,2),8746(a,1,3)),rewrite([5961(9),27102(8)])]. 769689 L(x,y,a(z,u * ((w * w) * v5),v6)) = L(x,v5 * u,a(z,y,v6)). [para(134744(a,1),8746(a,1,3)),rewrite([27102(10)])]. 769712 L(x,y,a(z * y,u,z)) = L(x,u,a(y,y,z)). [para(9747(a,2),8746(a,1,3)),rewrite([9747(5),754148(5),8301(2),4642(3),754148(7),245524(4)]),flip(a)]. 770288 a(x \ y,z,a(u,x,w)) = a(x * y,x,a(u,z,w)). [hyper(507,a,8301,a(flip),b,8760,a),flip(a)]. 770364 a(x,y,a(z,u,L(w,w,y))) = a(x,u,a(z,y,w)). [para(13477(a,1),8760(a,1,3)),flip(a)]. 770367 a(x,y,a(y * z,u,z)) = a(z,u,a(x,y,y)). [para(85743(a,2),8760(a,1,3)),rewrite([85743(9),519634(3)]),flip(a)]. 770514 x * (y * a(x,z,a(u,x,w))) = L(x,x,a(u,z,w)) * y. [para(8760(a,1),8043(a,1,2,2)),rewrite([5242(6)])]. 771131 (x * y) * a(z,x,a(y,u,w)) = x * L(y,x,a(z,u,w)). [para(8767(a,1),8352(a,1,2)),rewrite([5242(6)])]. 771163 a(x,y,a(z,u,w)) * a(w,u,x) = a(w,u,L(x,y,z)). [hyper(1832,a,8798,a,b,9237,a),rewrite([299(4),13597(4),8871(6)])]. 771336 a(x,y,a(z,u * a(z,w,x),v5)) = a(v5,y,a(z,u,x)). [para(10481(a,1),8798(a,1,3)),flip(a)]. 771471 a(x,y,z) \ a(x,u,a(z,y,w)) = L(a(x,y,z) \ 1,u,w). [hyper(1465,a,8808,a,b,13502,a),rewrite([8871(6),8866(8)])]. 771531 a(x,y,z) \ a(z,u,a(w,y,x)) = L(a(x,y,z) \ 1,u,w). [hyper(1465,a,8808,a(flip),b,13502,a),rewrite([8871(6),8866(8)])]. 771637 a(x,y,a(z,u,u * x)) = a(x,y,a(z,u,u)). [para(85743(a,2),8808(a,1,3)),rewrite([85743(9),519634(3)]),flip(a)]. 771907 a(x,y,a(z,u,u * a(x,y,z))) = a(u,u,a(z,y,x)). [hyper(1832,a,8810,a,b,85743,a),rewrite([41(5),299(6),13597(6),20(6),752675(11)])]. 771940 a(x,x,a(y,z,a(u,z,w))) = 1. [hyper(507,a,82002,a(flip),b,8810,a),flip(a)]. 772028 a(x,x,a(y,z,u * a(x,w,v5))) = a(y,z,a(x,x,u)). [para(5227(a,1),8810(a,1,3)),flip(a)]. 772140 a(x,y \ 1,a(z,u,w)) = a(z,u,a(w,y \ 1,x)). [hyper(507,a,5780,a,b,8811,a),rewrite([5780(4)])]. 772193 a(c15,c14,a(c11,c12,c13)) != 1. [para(8811(a,1),12601(a,1))]. 772244 a(x,y,a(z,u,y * x)) = a(x,u,a(z,y,y)). [para(85743(a,2),8811(a,1,3)),rewrite([85743(9),519634(3)]),flip(a)]. 772462 a(x,y,L(z,x,a(u,u,w))) = a(x,y,z). [para(13405(a,1),8813(a,1,3)),rewrite([8982(3),8806(4)]),flip(a)]. 772777 a(x,L(y,y,z),L(z,u,w)) = a(x,y,L(z,u,w)). [hyper(152,a,9277,a(flip),b,8870,a),rewrite([8870(2)]),flip(a)]. 772784 a(x,a(y,z,u),L(y,w,v5)) = a(x,y,a(y,z,L(u,w,v5))). [hyper(152,a,5218,a(flip),b,8870,a),rewrite([8870(3),8871(2)]),flip(a)]. 772785 a(x,y,L(R(z,u,w) * v5,v6,v7)) = a(x,y,L(L(z,u,w) * v5,v6,v7)). [hyper(152,a,2522,a(flip),b,8870,a),rewrite([8870(4)]),flip(a)]. 772807 a(x,y,L(z,u,L(w,v5,x))) = a(x,y,L(z,u,w)). [para(8893(a,1),8870(a,1,1)),rewrite([8870(2)]),flip(a)]. 772817 a(x,x,a(y,z,L(L(z,u,w),v5,v6))) = 1. [para(8870(a,1),27156(a,1,3))]. 772833 a(x,y,L(z,x,L(u,u,w))) = a(x,y,L(z,x,u)). [para(312883(a,1),8870(a,1,1)),rewrite([8870(2)]),flip(a)]. 772839 a(x,y,L(z,x,a(x,u,w) * v5)) = a(x,y,L(z,x,v5)). [para(12550(a,1),8870(a,1,1)),rewrite([8870(2)]),flip(a)]. 772842 a(x,y,L(z,x,u \ w)) = a(x,y,L(z,x,u * w)). [para(81725(a,1),8870(a,1,1)),rewrite([8870(3)]),flip(a)]. 772869 (x * (R(x,y,z) \ u)) \ u = a(x,y,L(z,x,u)). [back_rewrite(82622),rewrite([772839(5),8303(2),8834(3)]),flip(a)]. 772873 a(x,y,L(z,x,L(x,y,z) * u)) = a(x,y,L(z,x,u)). [back_rewrite(153176),rewrite([772842(4),772869(8)])]. 772897 a(x,y,L(L(z,u,w),v5,v6)) \ a(x,y,L(z,v5,v6)) = a(w,u,a(x,y,L(z,v5,v6))). [hyper(1465,a,8871,a(flip),b,43354,a),rewrite([8871(2),8871(3),8871(8)])]. 773065 a(x,a(y,z,L(x,u,w)),v5) = a(x,x,a(y,z,L(v5,u,w))). [para(8870(a,1),8891(a,1,2)),rewrite([8870(5)])]. 773118 R(T(x,y),z \ (x \ z),u) = R(T(x,y),x \ 1,u). [para(8897(a,1),32(a,1,1)),rewrite([32(4)]),flip(a)]. 773204 (x \ y) \ ((x \ 1) \ (x \ y)) = ((x \ 1) * y) \ y. [back_rewrite(335404),rewrite([773118(5),11719(5)]),flip(a)]. 773249 a(x,y,a(z * u,z,z)) = a(u,z,a(z,y,x)). [hyper(507,a,9285,a,b,8899,a),rewrite([9285(3),11068(3)]),flip(a)]. 773253 x * a(y,z,L(z,x,u)) = u * ((u \ x) * a(y,z,z)). [hyper(1832,a,8899,a(flip),b,5970,a),rewrite([299(6),8919(6),13597(4),9897(6),235535(6),9200(3),9558(3)])]. 773261 a(x,y \ z,a(y * z,u,y)) = a(z,y \ z,a(y,u,x)). [para(8326(a,1),8899(a,2,3)),rewrite([203951(4)]),flip(a)]. 773435 a(a(x,y,z) * u,a(z,y,x),w) = a(u,a(x,y,z),w * a(z,y,x)). [hyper(507,a,14896,a,b,8902,a),rewrite([5266(6),5283(7),8128(6),5971(7),8104(4),8172(8)]),flip(a)]. 773446 a(x * y,a(z,u,w),x) = a(x,a(w,u,z),y \ x). [hyper(507,a,245524,a(flip),b,8902,a)]. 773468 a(x,a(y,z,u),w * ((v5 * v5) \ v6)) = a(w * v6,a(u,z,y),x). [hyper(507,a,2537,a(flip),b,8902,a),flip(a)]. 773470 a(x,a(y,z,u),w \ x) = a(x,a(y,z,u),x * w). [hyper(507,a,8902,a,b,245524,a),rewrite([245524(6),773446(6)]),flip(a)]. 773471 a(x,a(y,z,u),x \ w) = a(x,a(y,z,u),x * w). [hyper(507,a,8902,a,b,8326,a(flip)),rewrite([773446(6),773470(6)])]. 773593 a(a(x,y,z) * u,a(x,y,z),w) = a(u,a(x,y,z),w * a(z,y,x)). [hyper(507,a,14896,a,b,8903,a),rewrite([5266(6),5283(7),8128(6),5971(7),8104(4),8301(8)]),flip(a)]. 773814 a(x * y,x \ y,a(x,z,u)) = a(u,z,(y \ x) * (x \ y)). [para(8326(a,1),8943(a,1,3)),rewrite([12749(3),786(4),785(4),174578(8)]),flip(a)]. 773907 L(x,x,a(y,z,x \ u)) = L(x,x,a(y,z,x * u)). [hyper(152,a,8424,a(flip),b,8946,a),rewrite([8946(3)]),flip(a)]. 774033 a(x,a(y,z,u),a(w,w,y)) = 1. [para(8961(a,1),8943(a,2,3)),rewrite([9228(6)])]. 774084 a(x \ y,z,a(x,u,w)) = a(x * y,z,a(x,u,w)). [para(8326(a,1),8982(a,1,1)),rewrite([8982(3)]),flip(a)]. 774095 a(x \ y,z,a(z,u,w)) = a(x * y,z,a(z,u,w)). [para(93458(a,1),8982(a,1,1)),rewrite([8982(3)]),flip(a)]. 774207 R(x,y,L(z,y,a(y,u,w))) = R(x,y,z). [hyper(1468,a,9006,a(flip),b,9234,a),rewrite([9238(2)]),flip(a)]. 774259 a(x,y \ 1,(y \ 1) \ z) = a(x,y \ 1,y * z). [hyper(152,a,5780,a,b,9007,a),rewrite([788(8),5780(4)]),flip(a)]. 774376 a(x,y,a(y \ z,u,w)) = a(x,y,a(z * y,u,w)). [para(9007(a,1),8982(a,1,1)),rewrite([8982(3),7106(7)])]. 774448 a(x,y,(y \ 1) \ z) = a(x,y,y * z). [para(3511(a,1),9008(a,2,3)),rewrite([14(5),715987(6),21(2),910(6)]),flip(a)]. 777907 T(x,y \ (z \ T(u \ w,u))) = T(x,y \ (z \ (w / u))). [para(22304(a,1),1405(a,1,2)),rewrite([12221(7),991(5),15784(7),526808(6),432463(5),365(11)]),flip(a)]. 782414 (T(x,y) * z) \ (T(T(x,y),u) * w) = (x * z) \ (T(x,T(u,y)) * w). [hyper(152,a,927,a(flip),b,39372,a),rewrite([853(2),39372(5)]),flip(a)]. 782494 R(x,x,y * (z \ 1)) = R(x,x,z \ y). [para(39372(a,1),81642(a,1,3)),rewrite([5876(4),67363(3),1844(4),285773(4),3610(7),1839(8)])]. 787058 a(a(x * y,x,y) * z,u,w) = a(a(x,x,y) * z,u,w). [para(25(a,1),40283(a,1,1,1)),rewrite([535832(9),1708(6),8874(8)])]. 789260 a(x,y,a(z,y,L(u,w,w))) = a(x,y,a(z,y,u)). [hyper(141,a,771940,a),rewrite([8871(3),8871(2)])]. 789284 a(x,y,a(z,a(x,u,w),y)) = 1. [hyper(152,a,8342,a,b,774033,a)]. 789288 L(x,a(y,z,u),a(w,w,y)) = x. [hyper(1832,a,774033,a(flip),b,9234,a),rewrite([5242(3),375(5)])]. 789636 L(x,a(y,z,u),a(y,w,w)) = x. [hyper(152,a,8153,a,b,789288,a)]. 789761 L(x,a(y,z,z),a(y,u,w)) = x. [hyper(152,a,285,a,b,789636,a),rewrite([9897(7),5942(8),300(2)])]. 794185 ((x \ 1) \ (y / x)) / (x \ y) = ((x \ 1) * y) \ y. [hyper(1466,a,12737,a(flip),b,3116,a),rewrite([174578(5),20(2),9585(4),391(8),737122(7),391(10),391(13),773204(12)])]. 794319 ((x / y) \ ((y \ 1) \ (x / y))) * (y \ x) = (y \ 1) \ (x / y). [para(503(a,1),3116(a,1,2))]. 794461 L(x,y,a(y,z,z * x)) = x. [para(3116(a,2),249543(a,1,3,3)),rewrite([3116(8),774259(6),6919(5)])]. 795052 (x / y) \ ((y \ 1) \ (x / y)) = ((y \ 1) * x) \ x. [para(503(a,1),3121(a,1,2)),rewrite([794185(6)]),flip(a)]. 795207 (T(x,x \ 1) / L(T(y,x),x,x)) * y = y \ ((x \ 1) \ y). [para(3999(a,1),3121(a,2,2)),rewrite([3264(9),882(7),78287(4),3264(11),882(9),31(6),604579(7),3264(14),882(12),658244(14),9305(13),13448(11),70499(11),32(12),5200(12)])]. 795358 (((x \ 1) * y) \ y) * (x \ y) = (x \ 1) \ (y / x). [back_rewrite(794319),rewrite([795052(6)])]. 796842 L(x,y,(z * (T(u,w) * v5)) * v6) = L(x,y,(z * (u * v5)) * v6). [para(3823(a,1),3160(a,1,3)),rewrite([927(8),9635(11),3823(13),927(12)])]. 797072 (1 / x) \ (((y \ z) / z) * y) = x * (((y \ z) / z) * y). [para(5313(a,1),3161(a,1,1,3)),rewrite([5242(6),6919(6),248923(4)])]. 797177 a((((x / y) * z) * u) * w,v5,v6) = a((((y \ x) * z) * u) * w,v5,v6). [para(3823(a,1),3162(a,1,1,1)),rewrite([845(8),1504(10),3823(13),845(13)])]. 797195 a((((x \ (y * y)) * z) * u) * w,v5,v6) = a(w * ((z * x) * u),v5,v6). [back_rewrite(735096),rewrite([797177(6)])]. 797207 a(x,y * (z * a(u,u,y)),w) = a(x,z * L(y,u,u),w). [para(9229(a,1),3163(a,1,2,1)),rewrite([528452(4),6570(6)]),flip(a)]. 797216 a(x,y * (R(z,u,w) * v5),v6) = a(x,y * (L(z,u,w) * v5),v6). [para(4953(a,2),3163(a,2,2,2)),rewrite([4179(2),5945(6),3163(6),4953(7)]),flip(a)]. 797240 a(x,(L(T(y,z),u,w) \ v5) * v6,v7) = a(x,v6 * (L(y,u,w) \ v5),v7). [para(1481(a,1),3163(a,2,2,2)),rewrite([302(5),62328(7)])]. 797277 a(x,L((y \ 1) \ z,y,y),u) = a(x,y * z,u). [para(5503(a,1),3163(a,2,2)),rewrite([749750(6),569488(10),750281(7),608312(8),10449(5),816(10)])]. 797304 a(x,(y \ ((1 / y) \ z)) * u,w) = a(x,u * L(z,y,y),w). [back_rewrite(528209),rewrite([797207(10)])]. 797564 T(x * L(1 / x,y,z),u) = x * L(1 / x,y,z). [hyper(507,a,5666,a,b,3165,a),rewrite([5321(8),859(6),45(7),5902(7),19(5),46(5),493(5),20(5),3165(11)])]. 797616 (x * L(1 / x,y,z)) \ x = 1 / L(1 / x,y,z). [para(3165(a,2),1351(a,2,1)),rewrite([7298(9),503927(9),503961(9),3165(11)]),flip(a)]. 797699 x / (y * L(1 / y,z,u)) = (y * L(1 / y,z,u)) \ x. [para(3165(a,1),33314(a,1,1,2,1)),rewrite([797564(7),10472(11),3165(11),5544(10),859(8),1742(9),19(7),380(6),378(7),3165(11),797564(12)])]. 797714 x / (y * L(y \ 1,z,u)) = (y * L(y \ 1,z,u)) \ x. [para(3165(a,2),2517(a,1,1,2)),rewrite([3165(6),797699(5),305(9),244(8),4648(9),11337(8),391(4),213(9)]),flip(a)]. 803895 a((x \ y) * z,u,y) = a(y * (x * z),u,y). [hyper(507,a,245524,a,b,3280,a),rewrite([245524(3),11506(8),7106(8)]),flip(a)]. 804120 a(x,y,a(z,u,w * (v5 * (v6 \ 1)))) = a(w * (v5 * v6),u,a(x,y,z)). [hyper(152,a,8811,a,b,3281,a)]. 804690 a(x,y,z * (x \ 1)) = a(x,y,x \ z). [para(3298(a,1),8789(a,1,3)),rewrite([785(5),96015(5),909(7)])]. 806059 a(x,y,z * L(u,w \ 1,w)) = a(x,y,z * L(u,w,w)). [para(5519(a,1),3346(a,1,3,2)),rewrite([873(6),96558(6),2588(9),96568(9)]),flip(a)]. 806080 a(x,y,z * ((u * (w \ 1)) * w)) = a(x,y,z * L(u,w,w)). [back_rewrite(317510),rewrite([806059(11)])]. 806081 a(x,y,z * (u * (w * (u \ 1)))) = a(x,y,z * L(w,u,u)). [back_rewrite(317508),rewrite([806059(11)])]. 809215 L(x,(y \ ((1 / z) \ y)) \ u,w) = L(x,(y \ ((z \ 1) \ y)) \ u,w). [para(11580(a,1),5788(a,1,2,1)),rewrite([10381(6),10381(12)]),flip(a)]. 810139 (x * T(y,z)) * L(T(y,z),u,w) = (x * y) * L(T(T(y,z),z),u,w). [hyper(507,a,757,a,b,4801,a),rewrite([676(5),3178(4),174(3),4801(10)]),flip(a)]. 810670 a(x,y,z * (u * L(w,u,u))) = a(x,y,z * L(u * w,u,u)). [para(10261(a,1),795(a,2,3,2)),rewrite([32(5),5005(8),8303(5),19(4),96332(6),10838(5),806081(11)])]. 810769 L(x,y,z * L(u * w,u \ 1,u)) = L(x,y,z * (u * L(w,u,u))). [para(10261(a,1),2509(a,1,3,2)),rewrite([619312(7),1496(11),2570(12),8303(9),19(8)])]. 812561 L(R(x,y,z),u,x) \ L(x,w,v5) = R(x,y,z) \ L(R(x,u,x),w,v5). [para(9969(a,2),2633(a,1,2)),rewrite([2536(3),13265(3),13249(3),9969(4),10467(5),2535(7),10090(7)]),flip(a)]. 813898 T(1 / x,y) * T(x * z,x) = (T(1 / x,y) * z) * x. [hyper(1465,a,11219,a(flip),b,2190,a),rewrite([1097(3),1104(8),78609(8),2548(4)]),flip(a)]. 813978 a(x,y,z \ L(u,w \ 1,w)) = a(x,y,z \ L(u,w,w)). [para(11219(a,1),779(a,1,3,2)),rewrite([622083(6),539255(6),539505(6),7775(12),11955(12),550664(11)])]. 814004 a(x,(((y \ 1) * z) * y) \ u,w) = a(x,L(z,y,y) \ u,w). [para(11219(a,1),939(a,1,2,1)),rewrite([622107(6),14620(10)])]. 814070 ((1 / x) * (L(x,y,z) * u)) * x = L(u,x,x) * L(x,y,z). [para(34098(a,2),11219(a,1,2,1)),rewrite([34098(8),298(9),765281(9),14620(12),8192(9)])]. 814127 a(x,(((y \ 1) * z) * y) * u,w) = a(x,L(z,y,y) * u,w). [para(11219(a,1),2322(a,1,2,1)),rewrite([622186(6),14620(10)])]. 814128 a(x,y * L(z,u \ 1,u),w) = a(x,L(z,u,u) * y,w). [para(11219(a,1),2331(a,2,2,1)),rewrite([813898(6),528645(7),3984(4),5944(5),622186(11),814127(11)])]. 814129 a(x,y,L(z,u \ 1,u) \ w) = a(x,y,L(z,u,u) \ w). [para(11219(a,1),2472(a,1,3,1)),rewrite([621871(6),539499(6),539526(6),10151(12),6124(12),7562(11)])]. 814157 L(x,y,z * L(u,w \ 1,w)) = L(x,y,L(u,w,w) * z). [para(11219(a,1),2509(a,1,3,2)),rewrite([622087(6),619247(6),6342(12),286100(12),284387(10),619361(9)])]. 814162 L(x,y,L(z * u,z,z) \ w) = L(x,y,(z \ u) \ w). [para(11219(a,1),9632(a,1,3,1,2)),rewrite([9781(9),553289(9),567915(7),640408(6),919(11),3264(11),881(9),550495(9),567915(11),640453(10)])]. 814258 a(x,y * (z * (u * (1 / z))),w) = a(x,L(u,z,z) * y,w). [back_rewrite(619081),rewrite([814128(11)])]. 814264 L(x,y,z * (u * L(w,u,u))) = L(x,y,(u \ w) * z). [back_rewrite(810769),rewrite([814157(6),11657(4)]),flip(a)]. 816337 R(R(1 / x,x,y),y * x,z) \ (y * z) = (x * y) * z. [para(1856(a,1),11660(a,1,1))]. 816356 R(R(1 / x,x,y),x * y,z) * R(x,y,z) = a(x,x,y * z). [para(11660(a,1),5313(a,1,2,1)),rewrite([28(9),10571(21),11682(21),13265(21),9666(21),8599(21),10571(17),11682(17),492(14),13265(13),850(13),3266(13),8520(11),8208(11),8208(10)])]. 817407 (x / (x * y)) * T(y,y \ 1) = T(y * (x / (x * y)),y). [hyper(1468,a,4322,a,b,3759,a),rewrite([1848(3),7914(3),8897(3),1353(3),4322(8),3618(7),4432(7)])]. 819624 (x \ 1) * ((y * (x \ 1)) * x) = R((x \ 1) * y,x,x \ 1). [hyper(4954,a,12112,a,b,3866,a),rewrite([558905(7)]),flip(a)]. 821512 (x \ y) * ((z * (x \ y)) \ z) = a(z,x \ y,y \ x) \ 1. [hyper(507,a,39913,a,b,4525,a),rewrite([150807(12),204(7),4654(7),391(6),492(12),266608(16),492(10),813(10),768163(10)])]. 821606 a(a(x,x \ 1,y) * z,u,w) = a(a(y,x,x) * z,u,w). [para(4525(a,1),898(a,2,1,1)),rewrite([6888(8),898(8),11115(5),335424(5),6880(9),8172(10),98322(10)])]. 821651 x * (((y * z) * x) \ (y * z)) = a(y * z,x,x \ 1) \ 1. [para(6908(a,2),4525(a,1,2)),rewrite([372(3),386(4),246779(7)]),flip(a)]. 821729 a((x * (y \ (x \ y))) * z,u,w) = a(a(y,x,x) * z,u,w). [back_rewrite(335424),rewrite([821606(10)])]. 822200 L(T(x,y),z,u) \ (1 / (K(y,x) / x)) = (L(x,z,u) \ 1) * x. [para(204(a,2),9891(a,1,2,2)),rewrite([250397(13)])]. 822419 ((1 / x) * y) * (x \ 1) = ((x \ 1) * y) * (1 / x). [hyper(1468,a,5831,a,b,5166,a),rewrite([3513(5),980(9,R),2020(9),3354(7),1097(7),3264(13),319182(11),11090(10),3395(8),5876(6),5876(3),3262(2)])]. 827258 K(x,T(y,z)) / L(1 / z,u,w) = 1 / L(K(y,x) / z,u,w). [para(3165(a,2),11128(a,1,2,2)),rewrite([298(4),1098(3),1787(4),19(2),3165(8),797699(7),797616(7),2143(8),797699(11),797616(11),607465(13)])]. 829703 x * R(y,z,L(u,y,x)) = (x * y) * a(y,z,u). [hyper(1468,a,9012,a(flip),b,25,a),rewrite([9238(2),9186(5),749165(4),5242(3),543850(4)])]. 829717 a(x,y,(z \ u) * (u \ z)) = a(z,u \ z,a(u,y,x)). [para(8326(a,1),9012(a,1,3)),rewrite([773261(4),774084(7),773814(7)]),flip(a)]. 829870 a(x,y,z) * (u * L(w,y,a(x,u,z))) = (a(x,y,z) * u) * w. [hyper(1468,a,9058,a(flip),b,27,a),flip(a)]. 830650 a(x * y,z,a(u,u,x)) = a(u,z,a(x,u,y)). [para(9111(a,1),8943(a,2,3)),rewrite([8849(5),4735(5),9452(6)])]. 830684 a((x \ y) * z,u,a(w,w,x)) = a(w,u,a(x,w,z \ y)). [back_rewrite(13231),rewrite([830650(8)])]. 830706 a(x,a(y \ x,z,u),x * y) = a(y,x \ y,a(x,z,u)). [hyper(152,a,6542,a(flip),b,9112,a),rewrite([567595(8),245524(5),335309(5),786(4),785(4),829717(4),773471(9),564720(9)]),flip(a)]. 830707 a(x,x * y,a(x * y,z,u)) = a(y,x \ y,a(x,z,u)). [hyper(152,a,5218,a(flip),b,9112,a),rewrite([3266(7),9451(6),9479(6),9195(4),3266(8),773471(8),830706(8)])]. 830890 a(x,y,a(z,z \ u,z * u)) = a(u,z \ u,a(z,y,x)). [para(9112(a,1),8899(a,1,3)),rewrite([9479(5),752759(4),3266(11),9451(10),9479(10),9195(8),830707(8)])]. 830893 a(x,y,a(x \ z,u,w)) = a(x,y,a(x * z,u,w)). [para(9112(a,1),8982(a,1,1)),rewrite([8982(3),3266(7),9451(6)])]. 831646 L(x,y,z \ L(x,u,w)) = L(x,y,L(x,u,w) * z). [para(4468(a,1),9119(a,1,3)),rewrite([3264(7),1504(5),4676(5)]),flip(a)]. 831823 L(x,y,a(z,u,L(w,v5,a(x,v6,v7)))) = L(x,u,a(w,y,z)). [hyper(507,a,8748,a,b,9120,a),rewrite([8871(5)]),flip(a)]. 832106 (L(x,y,y) / z) \ x = a(y,y,x) * z. [hyper(1468,a,492,a(flip),b,9206,a),flip(a)]. 832130 (x \ L(y,z,z)) * a(z,z,y) = x \ y. [hyper(759,a,9206,a)]. 832152 x \ L(y,x \ y,y * x) = (y / ((x \ y) * y)) \ 1. [hyper(152,a,8663,a,b,9206,a),rewrite([207487(5),8663(6),706015(5),207487(8)]),flip(a)]. 832922 a(x,x,x \ y) * (z \ ((1 / x) * y)) = z \ (x \ y). [para(3515(a,1),9216(a,1,2,2)),rewrite([5876(5),3262(4)])]. 832934 x \ (y * a(z,z,y)) = a(z,z,y) * (x \ y). [para(13405(a,1),9216(a,1,2,2)),rewrite([5227(3)]),flip(a)]. 833191 a(x,x,y) * (L(y,x,x) / z) = y / z. [hyper(1468,a,789761,a,b,9247,a),rewrite([789761(6)])]. 833784 L(x,y,y) * (a(y,y,x) * z) = x * z. [hyper(507,a,4585,a(flip),b,9249,a),rewrite([6905(8),2536(7),8303(6),19(5),9241(5),11328(5)]),flip(a)]. 834369 a(x,y,z * ((u \ L(w,v5,v5)) \ w)) = a(x,y,z * (u * a(v5,v5,w))). [para(9260(a,1),787(a,1,3,2,1))]. 834414 (x * a(y,y \ (z * z),u)) \ u = x \ L(u,y \ (z * z),y). [para(3397(a,1),9260(a,1,1,2)),rewrite([3501(10)])]. 834566 (x * a(y,y,z)) \ (y \ ((1 / y) \ z)) = x \ z. [para(5518(a,1),9260(a,2,2)),rewrite([6693(5),10707(5),373(2),24(10),373(9)])]. 834644 L(x \ y,x,a(z,z,y)) = x \ y. [back_rewrite(331676),rewrite([834566(10)])]. 836134 (x / L(T(y,z),u,u)) * y = x * (K(z,y) * a(u,u,y)). [hyper(1465,a,10668,a(flip),b,9287,a),rewrite([89832(6),2833(4),687920(6),814(8),763(8)])]. 836910 (x * (y / (y * x))) * x = y \ ((x \ 1) \ y). [back_rewrite(795207),rewrite([836134(7),9714(6),179823(7),817407(6),502(5)])]. 837658 L(x,y * (z * a(u,u,z)),w) = L(x,y * L(z,u,u),w). [para(9288(a,1),5785(a,2,2)),rewrite([10386(5),5785(5),10479(3),9303(3)])]. 840192 x / (y * a(z,z,y)) = a(z,z,y) \ (x / y). [para(4085(a,1),9304(a,1,2)),rewrite([126087(6),812(6)])]. 840213 L(x,y \ z,y * z) * (x \ u) = a(y * z,y \ z,x) \ u. [para(818(a,1),9304(a,2,1)),rewrite([919(3),881(3),81843(3),850(8),174578(8)])]. 840354 a(x * y,(y \ 1) * x,z) \ u = a(y * x,y \ x,z) \ u. [para(4676(a,1),9304(a,1,1)),rewrite([81884(5),840213(5),7106(11)]),flip(a)]. 840362 a(x,y,((z \ u) * L(z,w,w)) \ v5) = a(x,y,(a(w,w,z) \ u) \ v5). [para(9304(a,1),2472(a,1,3,1)),flip(a)]. 840743 a(x,y,z) * (R(x,y,z) \ L(x,u,w)) = x \ L(x,u,w). [hyper(6259,a,9315,a(flip),b,5709,a),rewrite([741(6,R),5253(5),372(3),378(4),12603(4),4196(3),741(6,R),5253(5),372(3),378(4),9637(6),11047(7)]),flip(a)]. 840897 a(x,y \ (z \ L(z,u,w)),v5) = a(x,y \ a(w,u,z),v5). [para(9315(a,1),819(a,1,2,2)),rewrite([97523(5),8382(5),20(3)]),flip(a)]. 840945 (x \ L(x,y,z)) / (u \ 1) = (x / u) \ L(x,y,z). [para(9315(a,1),3668(a,1,2,2)),rewrite([5279(7),503(5),6599(10)])]. 840967 a(x,x \ y,y \ x) \ z = z * ((x \ y) * (y \ x)). [para(4652(a,1),9315(a,1,2,2)),rewrite([630697(9),813(9),8858(9),20(7)]),flip(a)]. 841025 a(x,y,y * (z \ 1)) = a(x,y,z \ y). [para(492(a,1),9317(a,1,3,1)),rewrite([786(6)]),flip(a)]. 841069 a(x,y * z,L(z,y,y)) = a(x,y * z,z). [para(5695(a,1),9317(a,1,3)),rewrite([2321(5),4400(13),786(11),82313(11),2321(8)]),flip(a)]. 841104 a(x,y,a(z \ y,u,w)) = a(x,y,a(y * z,u,w)). [para(9317(a,1),8982(a,1,1)),rewrite([8982(3),4738(7)]),flip(a)]. 841143 a(x,y * a(z,u,y),w) = a(x,L(y,u,z),w). [para(13405(a,1),9323(a,1,2,1)),flip(a)]. 841145 a(x,L(y \ (z \ y),z,y),u) = a(x,z \ 1,u). [para(1351(a,1),9323(a,1,2,1)),rewrite([8281(4)])]. 841477 (x / y) \ R(x,z,z) = a(x,z,z) * y. [hyper(152,a,5063,a,b,9331,a),rewrite([2536(4),9241(4),818(3),850(3),8326(3),12749(3),23(5)])]. 841745 R(x,y,a(z,z,u) \ w) = R(x,y,a(u,z,z) * w). [para(9331(a,1),1842(a,2,3)),rewrite([7547(5),1842(5),13016(3)])]. 841943 L(x,L(y \ 1,y,z),z * y) = L(x,y \ 1,y * z). [hyper(507,a,8303,a(flip),b,9338,a),rewrite([7107(6),4679(16),12182(14),487711(9),883(11),4175(9),11459(9),455901(9)]),flip(a)]. 841971 a(x,x \ (y \ x),z) = a(x,y \ 1,z). [hyper(1832,a,9338,a(flip),b,9236,a),rewrite([13508(4)]),flip(a)]. 841982 L(x,y \ (z \ y),y * z) = L(x,z \ 1,y * z). [para(29(a,1),9338(a,1,2,2)),rewrite([3036(3),6401(4)])]. 842014 R(x,x \ (y \ x),z) = R(x,y \ 1,z). [para(9338(a,1),13122(a,1,2,1)),rewrite([13122(5)]),flip(a)]. 842068 L(x,y \ (z \ y),z \ y) = L(x,z \ 1,y * z). [back_rewrite(371182),rewrite([841982(8)])]. 842069 L(((x * y) \ x) \ z,y \ 1,x * y) = x \ ((x * y) * z). [back_rewrite(370477),rewrite([841982(7)])]. 842233 ((x \ y) \ ((1 / x) * y)) * z = (((x \ y) / y) * x) \ z. [para(5311(a,1),9373(a,2,1)),rewrite([3277(3)])]. 842432 R(x,y * z,z \ (y \ z)) = R(x,y * z,y \ 1). [para(21(a,1),9385(a,1,3,2)),rewrite([7726(4)])]. 842434 R((x * y) \ y,y,x \ 1) = y \ (x \ y). [para(9385(a,1),2074(a,1,1)),rewrite([8303(8),9351(8),7667(6)])]. 842501 (x * (y * z)) * ((y * z) \ z) = R(x,y * z,y \ 1) * z. [back_rewrite(70994),rewrite([842432(4)]),flip(a)]. 842674 a(x,y \ z,z \ (y \ z)) = a(x,y \ z,y \ 1). [para(4139(a,1),9416(a,1,3,2)),rewrite([910(6),643426(6),21(4),6417(4),818(4),909(10),818(8)])]. 842783 ((x \ y) * (y \ x)) * (y \ x) = L(y \ x,x \ y,x). [hyper(152,a,6882,a,b,9446,a),rewrite([821512(9),373(6),9479(5),840967(5),19(5),714665(7),391(10)])]. 843152 x * (x * (R(x,y,z) \ u)) = (a(x,y,z) \ x) * u. [para(9460(a,2),5804(a,1,1,2)),rewrite([231982(7),13307(7),4175(6),11459(6),99869(6),13278(3),8893(2),4930(4),13417(3)])]. 843156 (x * a(y,z,u)) * (a(y,z,u) \ y) = L(x * y,y,a(u,z,y)). [para(9460(a,2),5931(a,1,1,3)),rewrite([12258(7),9364(7),492(5),5238(3),246882(3),542736(3)]),flip(a)]. 843222 L(x,(R(1 / y,z,u) \ 1) * w,v5) = L(x,(a(y,z,u) \ y) * w,v5). [para(9460(a,1),901(a,2,2,1)),rewrite([32(4),152104(8)])]. 843224 a(x,y,(L(1 / z,u,w) \ 1) \ v5) = a(x,y,(a(z,u,w) \ z) \ v5). [para(9460(a,1),910(a,2,3,1)),rewrite([910(7),620136(7)])]. 843373 R(x,y,z * (R(1 / u,w,v5) \ 1)) = R(x,y,z * (a(u,w,v5) \ u)). [para(9460(a,1),1845(a,2,3,2)),rewrite([1845(7)])]. 843378 (x * (R(x,y,z) \ u)) * x = u * (a(x,y,z) \ x). [para(9460(a,2),1998(a,1,1,2)),rewrite([4175(7),11459(7),492(5),8871(3),13278(3),8893(2),5219(4),13417(3),299(6),300(9)])]. 843394 (a(x,y,z) \ x) * (x \ u) = x * (R(x,y,z) \ u). [para(9460(a,2),5805(a,1,1,2)),rewrite([231982(8),13307(8),4175(7),11459(7),99869(7),708061(3),13278(4),8893(3),8834(3),13417(3)]),flip(a)]. 843510 L(x,y \ a(y,z,u),L(y,z,u)) = L(x,y \ 1,y). [para(9460(a,1),8428(a,1,2,1,2)),rewrite([373(4),9576(4),3902(4),2535(6),7684(6),4628(6),2535(11),7684(11),4628(11),4179(9),7298(9),561424(9)])]. 843581 x * (R(x,y,z) \ y) = a(x,y,z) \ y. [back_rewrite(556900),rewrite([843394(4)])]. 844552 (R(x,y,z) \ x) / (a(x,y,z) \ u) = a(x,y,z) \ (a(x,y,z) / u). [hyper(1465,a,9469,a(flip),b,9898,a),rewrite([13578(3),9469(6),5301(8),11762(7),7995(8),754991(6),13578(9)]),flip(a)]. 844827 (a(x,y,y) * z) \ R(x,y,y) = z \ x. [para(9470(a,1),1351(a,2,1)),rewrite([2535(6),9265(6),5823(5),20(2)]),flip(a)]. 844995 a(x,y,(a(z,z,u) \ w) \ v5) = a(x,y,(a(u,z,z) * w) \ v5). [para(9470(a,1),2472(a,1,3,1)),rewrite([9572(9),840362(9)]),flip(a)]. 845071 a(x,y,((z \ u) * L(z,w,w)) \ v5) = a(x,y,(a(z,w,w) * u) \ v5). [back_rewrite(840362),rewrite([844995(9)])]. 845455 R(x,y,z) * (u * (R(x,y,z) \ 1)) = x * (u * (x \ 1)). [para(9472(a,2),5637(a,1,1,2)),rewrite([9472(3),5553(4),2535(8),4175(8),11459(8),561424(8),5637(6),373(6),373(12)]),flip(a)]. 845474 (x * y) \ (z \ L(z,u,y * x)) = R(x * y,u,z) \ 1. [para(1506(a,1),9472(a,1,2,2))]. 846247 a(x,x,y) * (L(y,x,z) \ u) = L(L(y,x,z),x,x) \ u. [para(8208(a,1),9474(a,1,1))]. 846362 a(x,x,L(y,z,z) \ u) = a(x,x,y \ u). [para(9474(a,1),9552(a,1,3))]. 846543 a(x,x * y,a(y * x,z,u)) = a(y,x \ y,a(x,z,u)). [hyper(152,a,8899,a,b,9475,a),rewrite([804690(7),9475(5),752759(4),830890(4),4735(8),9195(7)]),flip(a)]. 846546 a(x,y * (z \ 1),a(z,u,w)) = a(z,z * y,a(x,u,w)). [hyper(152,a,8767,a,b,9475,a),rewrite([9195(8)])]. 846548 a(x,y * x,a(y * x,z,u)) = a(y,x \ y,a(x,z,u)). [hyper(152,a,6542,a,b,9475,a),rewrite([804690(8),773471(6),748454(6),562856(4),752789(10),9195(8),846543(8)])]. 846570 L(x,y * (z \ 1),z) = L(x,z \ y,z). [hyper(1832,a,9475,a(flip),b,9237,a),rewrite([299(3),9236(3)]),flip(a)]. 846682 a(x,y \ x,a(y,z,u)) = a(x,x * y,a(y,z,u)). [back_rewrite(735716),rewrite([846546(5)]),flip(a)]. 846729 a(x,y * x,a(y * x,z,u)) = a(y,y * x,a(x,z,u)). [back_rewrite(846548),rewrite([846682(7)])]. 847780 a(x,(x \ y) \ 1,z) = a(x,y \ x,z). [para(7093(a,2),9479(a,1,2,1)),rewrite([940(5),10142(4),29(7),816(7),818(6)])]. 847958 a(x,y,y) \ (z \ R(x,y,y)) = z \ x. [hyper(4954,a,295,a,b,9480,a),rewrite([300(6)])]. 848147 (x * a(y,z,z)) \ R(y,z,z) = x \ y. [hyper(152,a,5938,a,b,9480,a),rewrite([303(2),9480(5),844827(4)]),flip(a)]. 848313 L(x / (y * a(x,z,z)),a(x,z,z),y) = x / (y * a(x,z,z)). [para(9480(a,1),118989(a,1,1,2)),rewrite([848147(4),22(2)]),flip(a)]. 848696 ((x \ y) / x) \ ((x \ y) * z) = y \ ((y * x) * z). [para(10891(a,1),3515(a,2,1)),rewrite([6402(7),842068(7),842069(7)]),flip(a)]. 848838 ((x * y) * y) \ x = x \ ((x / y) / y). [para(10891(a,1),31370(a,1,2)),rewrite([435959(5),3869(8)]),flip(a)]. 848845 ((x / y) * ((x * y) \ x)) \ x = x \ ((x * y) * y). [para(10891(a,1),916(a,1,1)),rewrite([848696(5)]),flip(a)]. 850083 R(x,L(y,z,z),z) = R(x,y,z). [para(29(a,1),12531(a,2,2)),rewrite([14782(4),7325(4),8303(3),19(2),1857(4)])]. 850099 L(x,y * (x \ 1),z) = L(x,x \ y,z). [para(12531(a,1),9341(a,1,2,1)),rewrite([9341(4)]),flip(a)]. 850121 R(x,(y \ 1) \ z,y) = R(x,y * z,y). [para(3431(a,1),12531(a,1,2)),rewrite([3209(5),151828(7),492(4),24993(7),5848(6),21(7)]),flip(a)]. 853320 (x \ 1) \ (a(x,y,y) \ z) = R(x \ 1,y,y) \ z. [hyper(1465,a,12740,a(flip),b,1488,a),rewrite([93458(5),52453(5),131586(11)])]. 853540 a(x,y,y) \ (R(x,y,y) / z) = x / z. [para(6376(a,2),12740(a,1,2)),rewrite([6917(5),615990(5),393293(5)]),flip(a)]. 854131 T(x,(y \ (z \ (u \ y))) * w) = T(x,T(u * z,y) \ w). [para(10641(a,1),12923(a,1,2,1)),rewrite([1557(5),372741(5),5235(10),10120(9)]),flip(a)]. 854150 T(x,y \ (z \ ((y \ u) \ w))) = T(x,T(u * z,y) \ w). [back_rewrite(268227),rewrite([854131(10)])]. 854985 x \ ((a(y,z,u) * x) * (a(y,z,u) \ w)) = L(w,a(y,z,u),a(y,z,u) * x). [para(13113(a,1),5967(a,1,2,2,1)),rewrite([8199(6),13113(9),8380(12),20(9)])]. 855226 (x * L(x \ 1,y,z)) \ u = u * a(z,y,x \ 1). [para(5072(a,2),13127(a,1,2)),rewrite([11287(4),9590(4),17329(3),11337(8),391(4),797714(5),813(8)])]. 855232 x / ((y \ z) \ ((1 / y) * z)) = x * (((y \ z) / z) * y). [para(5311(a,1),13127(a,2,2)),rewrite([3277(3)])]. 855552 (x * x) \ a(y,z,L(u,w,v5)) = R((x * x) \ a(y,z,u),w,v5). [para(13307(a,1),5159(a,1,2))]. 855679 a(x,y,a(z,u,w)) * (a(x,y,z) * v5) = a(x,y,L(z,u,w)) * v5. [hyper(1468,a,13350,a(flip),b,39351,a),rewrite([9537(4),18(4),19(4),303(7)]),flip(a)]. 856270 a(x,x,y) * (a(z,z,y) * u) = y * (L(L(y,x,x),z,z) \ u). [para(13396(a,1),9290(a,1,2)),rewrite([9241(3)])]. 860435 R(x,y,z) * (R(1 / x,y,z) \ u) = (x * x) * u. [para(13434(a,1),37712(a,1,1,2)),rewrite([9238(2),5851(5),20(5)])]. 861131 a((x * (a(y,y,x) * z)) * u,w,v5) = a((z * L(x,y,y)) * u,w,v5). [para(13396(a,1),40303(a,1,1,1,2)),rewrite([78541(8),9995(11),98496(11)])]. 861739 T(x,y / (T(z,y) * u)) = T(x,T(u \ (y / z),y)). [para(66092(a,1),2970(a,1,2,2)),rewrite([2970(6),5252(6),854150(6),1982(5),483117(8),12220(10),11299(10),637472(10),432313(9)])]. 863866 a(x,y,z) * ((x \ K(u,w)) * x) = R(x \ K(u,w),y,z) * x. [para(9346(a,2),273771(a,1,2,2,1,2)),rewrite([769(7),12612(8),2020(7),864(5),1582(6),248327(10)])]. 863867 R(x \ K(y,z),u,w) * x = (x \ K(y,z)) * R(x,u,w). [para(9347(a,1),273771(a,1,2,2,1,2)),rewrite([12609(8),2020(7),864(5),1582(6),863866(5),9347(7),769(9),285756(10)])]. 865267 L(x,y,((T(z,u) \ w) * v5) * v6) = L(x,y,((z \ w) * v5) * v6). [para(912(a,1),66750(a,1,3,1,2)),rewrite([928(5),890(6),301(10)]),flip(a)]. 865428 L(x,y,(z * (a(u,u,z) * w)) * v5) = L(x,y,(w * L(z,u,u)) * v5). [para(13396(a,1),66750(a,1,3,1,2)),rewrite([78541(8),6295(11),289137(11)])]. 866103 L(R(x \ y,z,u),x,a(w,w,y)) = R(x \ y,z,u). [para(4946(a,2),77331(a,2,1,2)),rewrite([5284(4),503(2),5242(4),834566(11)])]. 869225 T(x,T(y,z)) \ ((u * T(x,z)) \ w) = T(T(x,z),y) \ ((u * x) \ w). [hyper(1465,a,896,a(flip),b,258277,a)]. 871648 L(L(x,y,z),u,a(u,w,w * x)) = L(x,y,z). [hyper(6259,a,794461,a(flip),b,43354,a),rewrite([794461(7),300(6),794461(7),9236(6)])]. 872016 a(x,L(y,z,z),z) = a(x,y,z). [hyper(6259,a,850083,a(flip),b,9235,a),rewrite([303(3),9234(4)])]. 872040 L(x,L(y,x,x),z) = L(x,y,z). [para(850083(a,1),9341(a,1,2,1)),rewrite([9341(3)]),flip(a)]. 872391 L(x \ 1,L(y,x,x),z) = L(x \ 1,y,z). [para(3264(a,1),872040(a,1,2)),rewrite([11277(6)])]. 875378 a(x * (y \ x),z,a(u,w,w)) = a(u,z,a(y,w,w)). [para(397347(a,1),8767(a,1,3)),flip(a)]. 875380 a(x,y,a(z,x,u * (w \ u))) = a(z,y,a(w,x,x)). [para(397347(a,1),8808(a,1,3)),flip(a)]. 878863 a((x * y) * L(z,z,y * x),u,w) = a(z \ (y * x),u,w). [para(5072(a,1),3400(a,1,1)),rewrite([703805(7),900(5),4738(5),2525(10),123888(8)]),flip(a)]. 879137 a(x \ (y * (z \ (u * u))),w,v5) = a(x \ (z * y),w,v5). [para(4821(a,2),3401(a,1,1)),rewrite([850(7),11503(7),460374(10),878863(10)])]. 879423 a(x,L(y \ 1,y \ z,z),u) = a(x,(z \ 1) * (y \ z),u). [para(3417(a,1),818(a,1,2)),rewrite([2330(5),2332(5),11682(10)]),flip(a)]. 879696 a(x,y,z) \ (a(x,y,z) / L(z,u,w)) = 1 / L(z,u,w). [para(6537(a,1),3417(a,1,2)),rewrite([299(6),8199(10)]),flip(a)]. 880398 ((x \ y) \ y) \ ((z / ((x \ y) \ y)) \ u) = x \ ((z / x) \ u). [hyper(507,a,5668,a,b,3467,a),rewrite([451014(7),3467(12)]),flip(a)]. 880602 R(x,y,z) \ ((1 / R(x,y,z)) \ u) = x \ ((1 / x) \ u). [hyper(6259,a,3468,a,b,1498,a(flip)),rewrite([12603(6),503(5),32(11),332140(12)]),flip(a)]. 882942 L(x,y,a(z,u,z * y)) = L(x,u,a(y,y,z)). [hyper(152,a,8746,a,b,3521,a)]. 882943 L(x,y,a(z * u,u,z)) = L(x,y,a(u,u,z)). [hyper(152,a,8153,a,b,3521,a)]. 882966 L(x,y,a(z * u,z * u,z)) = L(x,y,a(z,z * u,u)). [para(14620(a,1),3521(a,1,3,3)),rewrite([841069(5),850(4),3266(4),813(8),502306(9)]),flip(a)]. 882967 L(x,y,a(z,z \ u,u)) = L(x,y,a(z,z * u,u)). [para(225(a,1),3521(a,1,3,3)),rewrite([777(10),21(8),816(7),3266(6),9476(4),816(14),851(13),8326(12),12749(12),889(11),10889(11),889(9),502540(9),5089(7)]),flip(a)]. 883002 L(x,y,a(z,z,u \ w)) = L(x,y,a(z,z,u * w)). [para(1487(a,1),3521(a,2,3)),rewrite([96398(8),99293(8),754182(7),882943(5),149520(7)])]. 883155 L(x,y,(z \ u) * (u \ z)) = L(x,y,a(u,u * z,z)). [back_rewrite(5089),rewrite([882967(7)])]. 883601 a(x,y,a(z,u,w * ((v5 \ 1) \ v6))) = a((v5 \ v6) * w,u,a(x,y,z)). [hyper(152,a,8811,a,b,3533,a)]. 883716 a(x,y,L(z,u \ (w \ 1),w * u)) = a(x,y,L(z,w * u,w * u)). [para(3984(a,1),3533(a,1,1)),rewrite([13265(10),4679(9),758217(7),827(15),3281(15),621037(13),97938(11),81843(9),729759(10)])]. 883770 a(x,y,a(z,u,w * ((v5 \ 1) * v6))) = a((v5 * v6) * w,u,a(x,y,z)). [hyper(152,a,8811,a,b,3535,a),rewrite([484693(4)])]. 883859 a(L(x,y,z) \ L(u,x,x),w,v5) = a(L(x,y,z) * u,w,v5). [para(891(a,2),3535(a,1,1)),rewrite([2535(6),4179(6),8192(6),891(5),10139(6),52445(6),682(8),64779(9),2532(7)])]. 884007 L(x,y \ (z * z),a(u,w,v5)) = L(x,y,a(u,w,v5)). [para(5860(a,1),3538(a,1,1)),rewrite([198170(11),285(10),881(4),881(8),7114(8),497(12)])]. 884445 (1 / L(x,y,z)) \ (L(x,y,z) \ u) = (1 / x) \ (x \ u). [para(5626(a,2),3560(a,1,2)),rewrite([31(3),31(5),7513(7),1847(6),8211(5),761324(5),583777(7),749873(7),287799(3),305(6),31(9),285345(11)]),flip(a)]. 888389 T(x * (a(y,z,u) * K(w,x)),w * x) = a(y,z,u) * L(x,w,x). [hyper(1465,a,27393,a(flip),b,3619,a),rewrite([1104(6),92271(6),682(4)])]. 890198 a(x,((y \ x) \ 1) \ y,z) = a(x,x,z). [para(3666(a,2),56607(a,1,1,1)),rewrite([10142(10),11306(10),845(10),832(9),7106(9),823(7),22(2),10142(14),11306(14),900(14),4738(14),900(12),761716(12),22(7),22(7)])]. 895092 L(x,y,x) * a(z,u,x) = L(x * a(z,u,x),y,x). [hyper(507,a,6578,a,b,7440,a),rewrite([3423(3),2079(5),658459(5),976(6),2079(8),5265(8),92271(9),682(7),888389(9),9187(6)])]. 895930 (x \ y) * R((x \ y) \ x,z,u) = (y / x) \ R(y,z,u). [para(24(a,1),4925(a,1,2,1)),rewrite([12405(8)]),flip(a)]. 896041 L(x,y \ L(y * z,u,w),v5) = L(x,y * L(y \ z,u,w),v5). [para(4925(a,1),905(a,2,2)),rewrite([11567(6),905(6),8632(8)])]. 896175 R(x,y,z \ L(z * u,w,v5)) = R(x,y,z * L(z \ u,w,v5)). [para(4925(a,1),2007(a,2,3)),rewrite([32(3),7545(5),95472(5),7547(8)])]. 897359 R(x,y,z) * (L(x,u,w) \ 1) = a(x,y,z) * a(w,u,x). [para(9354(a,2),5124(a,2,2)),rewrite([6576(4),9234(2)]),flip(a)]. 897420 x \ (a(x,y,z) \ R(x,u,w)) = R(x,u,w) * (R(x,y,z) \ 1). [para(5112(a,1),5124(a,2,2)),rewrite([13578(4)])]. 897996 (x * (a(y,z,y \ 1) \ u)) \ w = a(y,z,y \ 1) * ((x * u) \ w). [para(3266(a,1),10205(a,1,1,2,1)),rewrite([202246(11),19(8)])]. 898914 a(x,((y \ 1) * L(y,z,u)) * w,v5) = a(x,w * a(y,z,u),v5). [para(10936(a,1),2328(a,2,2,2)),rewrite([31(5),454062(6),528486(7),619068(12)])]. 900692 T((((x \ y) \ 1) * z) * (x \ y),y \ x) = (z * ((x \ y) \ 1)) * (x \ y). [para(3830(a,1),7332(a,1,1)),rewrite([391(9),391(15)]),flip(a)]. 901935 L(x \ 1,x,y \ z) = L(x \ 1,x,y * z). [hyper(6259,a,5790,a,b,4066,a),rewrite([9244(4),749(6),7354(6),5790(11),1104(11),676(11),2192(9)]),flip(a)]. 902851 ((a(x,y,z) * u) * (u \ x)) / R(x,y,z) = a(x,y,a(z,u,u \ x)). [para(9235(a,1),11527(a,1,2)),rewrite([8982(9)])]. 902865 a((x \ y) * y,z,z \ y) = ((x * z) * (z \ y)) * ((x * y) \ 1). [para(11527(a,1),4356(a,1,1)),rewrite([13307(7),8303(6),19(5),8816(5)])]. 902921 a(x * y,y,a(y,z,u)) = a(x,y,a(y,z,u)). [para(9460(a,2),11527(a,2,3)),rewrite([843156(5),3154(5),8947(5),7292(10),9455(10),492(8),772784(6),2079(5)])]. 904515 (x / (y \ 1)) \ R(x,z,u) = y \ a(x,z,u). [para(24993(a,1),5479(a,1,2,2,1,2)),rewrite([723551(9),895930(13)]),flip(a)]. 905470 L(x,y,L(z \ 1,u,w) \ v5) = L(x,y,L(z,u,w) \ v5). [para(9699(a,2),9632(a,1,3,1,2)),rewrite([9699(8),6451(7),742(5),155(6),4842(6),11161(6),3264(11),7477(9),4842(12),640459(12),640459(10)])]. 906374 (((x * y) / ((z * x) * y)) \ 1) \ R(z,x,y) = a(z,z,x * y). [para(5772(a,2),11375(a,2,1)),rewrite([28(10),28(17),816356(15)])]. 908459 x * (T((x \ y) \ 1,y) \ 1) = (((y \ x) \ 1) \ 1) \ x. [para(741(a,2),5397(a,1,2,1,2)),rewrite([550177(5),741(12)])]. 911647 ((x * y) * z) \ a(x,y,z) = (x * (y * z)) \ 1. [para(25(a,1),10927(a,1,1,1)),rewrite([6305(6),11599(4),5292(7),503(7),6305(9),25(11)]),flip(a)]. 911757 L(x \ y,y,a(y,x,z)) = x \ y. [para(10927(a,2),81603(a,1,3,2)),rewrite([10927(7),940(7),851(6),841971(5),6919(6),883(4)])]. 912328 a(x \ a(y,y \ 1,z),u,w) = a(x * a(y,y,z),u,w). [para(10054(a,1),821(a,1,1,2)),rewrite([335422(5),334549(10)])]. 913741 L(x,(y \ ((z \ 1) \ y)) \ 1,u) = L(x,y \ (z \ y),u). [para(5380(a,1),6268(a,1,2)),rewrite([6268(7),809215(7),4175(12),11459(12),3580(11),20(10),6401(10)])]. 914143 (1 / (1 / x)) \ (R(1 / x,y,z) \ u) = x \ (R(x \ 1,y,z) \ u). [para(248612(a,1),9603(a,1,1)),rewrite([248612(8),32(4),503(3),79686(10)]),flip(a)]. 916012 (((x \ y) \ 1) * z) * (x \ y) = ((y \ x) * z) * (1 / (y \ x)). [para(3999(a,1),13637(a,1,1)),rewrite([412462(10),3264(16),882(14),81843(10),244840(11)]),flip(a)]. 916035 (x * ((y \ z) \ 1)) * (y \ z) = (x * (z \ y)) * (1 / (z \ y)). [back_rewrite(900692),rewrite([916012(6),4682(8)]),flip(a)]. 916160 L(x,y \ (a(z,u,y) \ 1),a(z,u,y)) = L(x,y,a(y,u,z)). [para(11834(a,1),5967(a,2,2)),rewrite([5967(10),2008(6),6569(4),69627(11),13269(9),2079(8)])]. 916215 (1 / x) \ (a(y,z,x) * u) = ((1 / x) \ u) * a(y,z,x). [para(11834(a,1),5823(a,1,1,1)),rewrite([5728(4),2008(10),6569(8),916160(10),43003(6),3511(3)]),flip(a)]. 916412 1 / L(x,a(y,z,u),w) = L(1 / x,a(u,z,y),w). [para(8902(a,1),11834(a,1,1)),rewrite([13424(5),5238(3),563057(8),3262(6)])]. 916632 R(x,y \ z,(y \ z) \ 1) = R(x,y \ z,z \ y). [para(7986(a,2),83305(a,1,2,3)),rewrite([19(2),7986(6),768163(5),9238(4),377(8),14782(9)]),flip(a)]. 917875 ((x \ y) * (x \ y)) * (y \ x) = L(x \ y,y \ x,y). [hyper(1465,a,34929,a,b,3956,a),rewrite([153(8),380(7),20(6),11217(7),842783(5),2797(10)]),flip(a)]. 918624 (x \ 1) * ((R(x,y,z) \ 1) \ ((x \ 1) \ u)) = (R(x,y,z) \ 1) \ u. [para(42790(a,1),5128(a,1,1)),rewrite([42790(9)])]. 918930 (L(L(x,y,z),y,z) * (x \ u)) \ w = x * (L(L(x,y,z),y,z) \ (u \ w)). [para(13482(a,2),5728(a,1,1,1)),rewrite([13482(4),246834(4),13111(9),8579(10)])]. 918931 ((x \ y) \ ((1 / x) * y)) \ z = z * (((x \ y) / y) * x). [para(5311(a,1),13482(a,2,2)),rewrite([3277(3)])]. 918962 x * (L(L(x,y,z),y,z) \ (u \ 1)) = u \ (a(z,y,x) * a(z,y,x)). [back_rewrite(722886),rewrite([918930(6)])]. 926524 L(x,y,z \ (u * (z \ u))) = L(x,y,a(u,z * u,z)). [para(9463(a,1),4841(a,1,3,2)),rewrite([7822(5),198733(4)]),flip(a)]. 926554 L(x \ 1,x,y * z) \ (y \ z) = T((y \ z) * x,x \ 1). [para(4841(a,2),3823(a,1,1)),rewrite([4841(5),901935(4)])]. 926734 a(x \ (y \ R(z,u,w)),v5,v6) = a(x \ (y \ L(z,u,w)),v5,v6). [para(2534(a,1),4851(a,1,1,2)),rewrite([81725(5),4002(7),99105(7)]),flip(a)]. 927141 L(x,x,a(y,z,u)) * (L(x,z,u) \ y) = a(u,z,x) * y. [hyper(1832,a,8891,a(flip),b,5001,a),rewrite([658676(4),299(6),4930(6),13597(5),8540(6),5242(2)])]. 927154 (x * y) * (z * a(x,x * y,z)) = x \ ((x * (x * y)) * z). [hyper(1468,a,9476,a,b,5001,a),rewrite([9476(6),13466(5)])]. 927526 T((x \ ((x * y) * z)) * ((y * z) \ 1),y * z) = a(x,y,z). [para(5001(a,1),5701(a,1,1)),rewrite([13307(6),8303(5),19(4),13480(4),399271(4)]),flip(a)]. 927625 (x * a(y,z,a(u,w,v5))) * a(y,z,u) = a(y,z,L(u,w,v5)) * x. [hyper(1468,a,5029,a(flip),b,284,a),rewrite([8871(5),13284(6),9897(5),13286(5),8871(6),13284(7)]),flip(a)]. 929556 R(x,y,z \ a(u * z,u,z)) = R(x,y,((u * z) \ 1) * u). [para(5608(a,1),1859(a,1,3)),rewrite([1844(5)]),flip(a)]. 937387 ((x / y) * (y * z)) / z = (x / y) * (a(y * x,y,z) \ y). [hyper(1466,a,12211,a,b,6473,a),rewrite([12211(5),850(7),8301(7)])]. 937945 a(x,y * (z * (u * (w / v5))),v6) = a(x,y * (z * (u * (v5 \ w))),v6). [para(6473(a,1),2326(a,1,2,2)),rewrite([813(7),6473(11)])]. 938032 (L(x,y,a(y,z,u)) * (L(x,y,y) \ z)) * u = a(y,y,x) * (z * u). [para(13396(a,2),6473(a,1,1)),rewrite([8982(3),13597(4),761412(4),11941(5),216659(6)])]. 938075 a(x,y * (z * (u * (z \ 1))),w) = a(x,L(u,z,z) * y,w). [back_rewrite(814258),rewrite([937945(6)])]. 938093 a(x,y,z) \ y = x \ ((x * (y * z)) / z). [hyper(4467,a,6491,a),flip(a)]. 938247 T(a(x,x,y) / x,y * x) = (x * y) \ y. [hyper(1466,a,1463,a(flip),b,6491,a(flip)),rewrite([5791(4),148224(4),245524(7),13263(7),9242(6),329221(7),2548(5),5265(6),3881(4)])]. 939672 a(x,x,a(y,a(z,u,u),w)) = 1. [para(6516(a,2),9556(a,1,3)),rewrite([813(6),9412(5),772817(4)]),flip(a)]. 941414 x * (x * ((x * y) \ y)) = (y / (x \ 1)) / y. [para(6601(a,1),153(a,1,1)),rewrite([5285(13),8163(10),70689(9),3036(7)]),flip(a)]. 942010 x \ (L(x \ 1,x,y) \ 1) = a(y * x,x \ 1,x). [para(14782(a,1),6602(a,1,2)),rewrite([10616(6),774(8),9234(7),394821(7),4533(6),812(14)])]. 942148 a(x * y,y \ 1,y) = x \ ((x * y) * (1 / y)). [para(5698(a,1),6602(a,1,1)),rewrite([293649(7),812(16),848(12)]),flip(a)]. 943918 (x \ 1) * ((R(x,y,z) \ 1) \ u) = R(x,y,z) * (x \ u). [para(3601(a,1),6702(a,1,2,1)),rewrite([4679(9),4842(7),589950(8),9855(6),772842(4),772873(4),9434(3),429341(10)]),flip(a)]. 944035 R(x,y,z) * (x \ ((x \ 1) \ u)) = (R(x,y,z) \ 1) \ u. [back_rewrite(918624),rewrite([943918(10)])]. 948299 (x * ((y * z) \ y)) * a(y,z,z \ 1) = x * (z \ 1). [para(7029(a,1),5931(a,1,1,3)),rewrite([5242(6),502306(6),6402(4),8184(4),7029(11)]),flip(a)]. 948376 ((x * y) \ x) * (y \ 1) = (y \ 1) * ((x * y) \ x). [para(7029(a,1),173123(a,2,2,2)),rewrite([225276(11),13508(10),45769(8),300(13)])]. 948502 ((x / (y * x)) \ 1) / y = a(y,y,x) \ 1. [hyper(152,a,863,a,b,7033,a),rewrite([7033(9),5279(8),378(6)])]. 948520 a(x * y,(y \ 1) * x,z) = a(y * x,y \ x,z). [hyper(1832,a,5644,a,b,7033,a(flip)),rewrite([5644(12),7033(12),2332(8),832(8),7106(8),840354(8),391(7),2332(10),832(10),7106(10)]),flip(a)]. 948558 (x \ y) \ ((1 / x) * y) = x \ (((x \ y) / y) \ 1). [para(5971(a,2),7033(a,2,1)),rewrite([22(3),5644(10),6706(10),334456(10)]),flip(a)]. 948596 ((x / (y * x)) \ 1) \ (y * z) = a(y,y,x) * z. [para(7033(a,1),5823(a,1,1,1)),rewrite([8201(4),7033(7),8380(6),20(5),4973(4),8061(4)]),flip(a)]. 948624 L(x \ y,x,a(y,y,z)) = (a(y,y,z) \ x) \ ((z / (y * z)) \ 1). [para(7033(a,1),915(a,1,3)),rewrite([3264(5),948502(8),8199(7)])]. 948745 R(x,y,z \ (((z * u) \ u) \ 1)) = L(x,y,a(u,z,z)). [para(7033(a,1),6387(a,1,3)),rewrite([816(3),851(2),841745(4),20(3),5242(2),11175(9),415379(7),2007(9)]),flip(a)]. 948774 a(x,x,y) * ((x \ 1) \ z) = (R(x,x,y) \ 1) \ z. [para(7033(a,1),5515(a,1,1,2)),rewrite([8200(6),4937(4),8533(4),948596(13)]),flip(a)]. 948881 (x \ (((x \ y) / y) \ 1)) \ z = z * (((x \ y) / y) * x). [back_rewrite(918931),rewrite([948558(5)])]. 948883 x / (y \ (((y \ z) / z) \ 1)) = x * (((y \ z) / z) * y). [back_rewrite(855232),rewrite([948558(5)])]. 948887 (x \ (((x \ y) / y) \ 1)) * z = (((x \ y) / y) * x) \ z. [back_rewrite(842233),rewrite([948558(5)])]. 948894 (((x \ y) / y) * x) \ 1 = x \ (((x \ y) / y) \ 1). [back_rewrite(334456),rewrite([948558(10)])]. 948906 (x \ 1) \ (y * a(x,x,z)) = (R(x,x,z) \ 1) \ y. [back_rewrite(750149),rewrite([948774(10)])]. 949004 R(x,y \ 1,y) \ x = (x \ (x / y)) * y. [para(7058(a,2),7124(a,2,2,1)),rewrite([6387(9),8826(8),20(6),492(5),1857(4),9800(3),842014(3),774(13),492(12),3087(11),1097(10),714270(12)])]. 949029 a(x,y,a(z,z,u \ w)) = a(x,y,a(z,z,u * w)). [para(7124(a,1),778(a,1,3)),rewrite([13517(4),821651(5),8104(7),8301(5),20(3),19(4),7292(10),8303(7),19(6),10963(8),9237(7)]),flip(a)]. 949104 ((x \ (x / y)) * y) \ z = a(x,y \ 1,y) * z. [para(7124(a,2),5644(a,2,1)),rewrite([5644(8),7251(7),821512(7),373(4),8201(6),492(10),1848(7),949004(8)]),flip(a)]. 949125 L(a(x,y,y \ 1) \ 1,x,z) = y * ((x * y) \ x). [para(5889(a,2),7124(a,1,1)),rewrite([725717(9),13517(12),664598(12)])]. 949599 (x * y) \ (((z \ 1) \ (z \ x)) * y) = a(z,z \ 1,x). [para(7173(a,1),3580(a,1,1)),rewrite([814(4),8871(4),81664(4),8025(9),502(10)]),flip(a)]. 949667 x * (y * a(z,z \ 1,x)) = ((z \ 1) \ (z \ x)) * y. [para(7173(a,1),6073(a,1,1,2,1)),rewrite([8871(4),2079(4),331491(4),949599(12)]),flip(a)]. 950445 L(x,(L(R(y,y,z),u,y) \ w) * y,v5) = L(x,a(y,y,z) * w,v5). [para(8430(a,1),7300(a,1,2)),rewrite([2690(3),8870(2),8789(2),8380(3),2182(6),34(5)]),flip(a)]. 950509 L(L(x \ 1,x,y) \ z,x \ 1,x * y) = y \ ((y * x) * z). [para(7354(a,2),5816(a,1,1,1)),rewrite([7354(4),841943(9),22(11),20(10)])]. 951085 (x * a(y,z,u)) * a(y,z,a(u,w,v5)) = a(y,z,L(u,w,v5)) * x. [hyper(1468,a,7414,a(flip),b,285,a),rewrite([13307(4),27655(6),13307(7),27655(9),927625(10)])]. 951779 T((T(x,y) \ z) / z,T(x,u)) = T((T(x,y) \ z) / z,x). [para(36861(a,1),10874(a,1,1)),rewrite([1586(4),740355(7)]),flip(a)]. 961680 K(x,y) * (((y \ z) / z) * y) = ((T(y,x) \ z) / z) * y. [para(10874(a,1),107776(a,2,2,2)),rewrite([334534(8),3178(10),10630(9),502(10)])]. 964952 a(x,a(y,z,z),a(u,u,w)) = 1. [hyper(152,a,54870,a,b,939672,a),rewrite([5242(3),8075(6),8982(3),13597(5),20(5)])]. 964955 a(x,y,a(y,a(z,u,u),w)) = 1. [hyper(152,a,9012,a,b,939672,a)]. 964956 a(x,y,a(z,a(u,w,w),y)) = 1. [hyper(152,a,8808,a,b,939672,a)]. 964991 L(x,x,a(y,a(z,u,u),w)) = x. [hyper(1832,a,939672,a(flip),b,9234,a),rewrite([5242(3),375(5)])]. 965274 L(x,y,a(z,a(u,w,w),y)) = x. [hyper(1832,a,964956,a(flip),b,9234,a),rewrite([5242(3),375(5)])]. 965324 L(x,a(y,z,z),a(u,x,w)) = x. [hyper(152,a,8748,a,b,964991,a)]. 965456 L(x,y,a(z,a(u,u,w),y)) = x. [para(9849(a,2),965274(a,1,3)),rewrite([8871(2),748301(3)])]. 966011 L(x,a(y,y,z),a(u,u,w)) = x. [hyper(152,a,9120,a,b,965456,a),rewrite([8871(4),831823(5)])]. 966034 x * (L(x,a(y,y,z),u) \ w) = w * a(u,a(y,y,z),x). [hyper(1468,a,5518,a(flip),b,965456,a(flip)),rewrite([299(4),8157(4),19(4),9235(3),5238(2),299(8),8157(8),19(8),8157(7)])]. 969141 (x / y) \ R(x,z,y) = y * a(x,z,y). [hyper(1832,a,769572,a(flip),b,14641,a),rewrite([300(3),22(3),9235(2),9978(3)])]. 969263 (R(x \ y,z,u) * x) \ (R(x \ y,z,u) * y) = T(y / x,y). [hyper(6259,a,3719,a,b,12174,a),rewrite([509352(6),5550(5),14926(4),2546(3),509352(7),22(9)]),flip(a)]. 973384 (x \ ((x * y) * z)) * ((y * z) \ 1) = a(x,y,z). [para(5001(a,1),3779(a,1,2,2,1)),rewrite([5326(9),21(7),18(7),5330(18),21(16),927526(16)])]. 976865 a(x * (y * (z \ (z / u))),w,v5) = a(x * (y * (z \ (u \ z))),w,v5). [para(3824(a,1),2527(a,2,1,2,2)),rewrite([5704(5),19(3),826(6),243357(5),100371(13),9820(10)])]. 976911 a(x * (y * ((z * u) \ u)),w,v5) = a(x * (y * (u \ (z \ u))),w,v5). [back_rewrite(243357),rewrite([976865(10)])]. 977207 R(x,y,(L(z,u,z) \ w) * v5) = R(x,y,(z \ w) * v5). [para(3833(a,1),1840(a,2,3,1)),rewrite([763(7),97380(8),1842(6),1844(5),151826(5),1844(7)]),flip(a)]. 977350 a(x \ (L(1 / y,z,y) \ u),w,v5) = a(x \ (y \ u),w,v5). [para(5072(a,2),3834(a,2,1,2)),rewrite([919(5),3264(5),5072(8),6970(11),4861(11)])]. 977527 R(x,y,z * ((u / w) \ v5)) = R(x,y,z * ((w \ u) \ v5)). [hyper(1468,a,3839,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 977548 a(x,y,z * ((T(u,w) \ v5) \ v6)) = a(x,y,z * ((u \ v5) \ v6)). [para(2425(a,1),3839(a,2,3,2,1)),rewrite([762(3),923(4),96040(6),3839(4)]),flip(a)]. 977561 a(x,y,z * (((u * w) \ w) \ v5)) = a(x,y,z * ((w \ (w / u)) \ v5)). [para(6375(a,1),3839(a,1,3,2,1)),rewrite([3839(5),977548(11)]),flip(a)]. 978317 K(x \ y,x) * ((z * (y / x)) * u) = T(z * (x \ y),K(x,y)) * u. [hyper(1468,a,2600,a(flip),b,3889,a),rewrite([757(6),26189(4)]),flip(a)]. 978346 ((x / y) * z) \ ((x / y) * u) = ((y \ x) * z) \ ((y \ x) * u). [hyper(507,a,918,a,b,3889,a),rewrite([918(7),16824(12),379(9),503(9)])]. 978438 L(x,y,z * (((u / w) * v5) \ v6)) = L(x,y,z * (((w \ u) * v5) \ v6)). [para(3889(a,1),889(a,2,3,2)),rewrite([762(6),6342(8),888(8)]),flip(a)]. 978444 R(x,y,((z / u) * w) \ v5) = R(x,y,((u \ z) * w) \ v5). [para(3889(a,1),1859(a,2,3)),rewrite([762(6),1845(7),1839(7)]),flip(a)]. 978482 L(x,y,(((z / u) * w) \ v5) * v6) = L(x,y,(((u \ z) * w) \ v5) * v6). [para(3889(a,1),1504(a,2,3,1)),rewrite([762(6),928(7),9785(8),890(8)]),flip(a)]. 978538 ((x \ y) / ((y / x) \ 1)) \ z = ((x \ y) \ 1) * ((y / x) \ z). [para(108754(a,1),3889(a,1,1)),rewrite([554486(9),3610(8),68814(8),21(6),741(12),723099(13),723098(13)]),flip(a)]. 978603 L(x,y,(((z \ 1) * u) \ w) * v5) = L(x,y,((z * u) \ w) * v5). [back_rewrite(553440),rewrite([978482(6)])]. 978636 a(x,y,z * ((u * (w / v5)) \ v6)) = a(x,y,z * ((u * (v5 \ w)) \ v6)). [para(502(a,1),3894(a,1,3,2,1)),rewrite([26189(9),749(9),7966(12)])]. 978637 a(x,y,z * ((u \ (w / v5)) \ v6)) = a(x,y,z * ((u \ (v5 \ w)) \ v6)). [para(7058(a,2),3894(a,1,3,2,1)),rewrite([774(7),737285(9),807(9),400352(10),151066(15),541828(11),3839(10)])]. 978663 a(x,y,z * (((u * w) \ w) \ v5)) = a(x,y,z * ((w \ (u \ w)) \ v5)). [back_rewrite(977561),rewrite([978637(10)])]. 981442 a(x,y,z \ (u \ R(w,u,u))) = a(x,y,z \ ((u \ 1) * w)). [para(3431(a,1),3948(a,2,3,2)),rewrite([242378(3),778(4),3948(10),9680(10)])]. 988805 (x \ ((x * y) * z)) \ K(y * z,x) = (((x * y) * z) / x) \ 1. [para(5119(a,2),4716(a,1,1)),rewrite([5119(4),5297(7),21(5)])]. 988811 (x \ y) \ (((x \ y) * (y / x)) * z) = (1 / (y / x)) \ z. [para(4824(a,2),5119(a,2,2,1)),rewrite([1848(3),3208(7),94997(7),41573(4),4824(8)]),flip(a)]. 989985 L(x,y,L((z * u) \ u,w,z) * v5) = L(x,y,L(z,z,u) * v5). [para(5892(a,2),7821(a,2,3)),rewrite([919(5),5523(5),11364(7),316712(5),671698(5),6917(10),11364(10),545257(10)])]. 990337 T(x * y,x) / ((z * y) * R(x,y,x)) = (y * x) / ((z * y) * x). [hyper(1832,a,10530,a(flip),b,5063,a),rewrite([814(11),5817(10),13265(10),10957(10),8520(11),248428(13),607509(13)])]. 990422 a(x,x,L((y \ 1) \ z,y,z)) = a(x,x,y * z). [para(10530(a,1),5315(a,1,1,1,2)),rewrite([990337(6),906374(8),814(7),5817(6),13265(6),10957(6),8520(7)]),flip(a)]. 990805 a(x,y,(z * L(u,w,u)) \ v5) = a(x,y,(z * u) \ v5). [para(10282(a,1),5844(a,1,1,2,2)),rewrite([508(12),7046(11),10282(10),25(11),508(10),38936(9)])]. 992202 L(x,x,a(y,z,x * u)) = L(x,x,a(y,z,u)). [para(9238(a,1),5120(a,1,1,2,1)),rewrite([5124(3),4936(6),7244(7),9390(7),773907(3),5238(5),9109(5)])]. 997020 (1 / x) \ (y \ (1 / x)) = (x \ 1) \ (y \ (x \ 1)). [hyper(6259,a,11369,a(flip),b,11091,a),rewrite([34507(11),1097(11),192469(16),866(15),495(14),1742(12),19(10),749(10),1742(10),19(8),749(8),56313(8),34507(11),1097(11),192469(16),866(15),495(14),403116(17),1104(18),10874(18),503(15)])]. 1000020 x / (((y \ z) / z) * y) = (((y \ z) / z) * y) \ x. [para(5313(a,1),10415(a,1,2)),rewrite([300(8),5900(11),374(9),749(12),1742(12),19(10),380(9),378(10)])]. 1000031 T(T(x * (y / x),x) \ z,K(x,y)) = ((x * (y / x)) \ z) * K(x,y). [para(4058(a,2),10415(a,2,1,1)),rewrite([2917(7),155(6),391023(6),12971(12),1742(12),991(11),2315(12)]),flip(a)]. 1001452 a(x,y,z * (((u * w) \ u) * v5)) = a(x,y,z * ((u \ (w \ u)) * v5)). [para(11498(a,1),1990(a,2,3,2,2)),rewrite([4277(5),11690(9),1990(8),11313(6),11313(11),6412(10)])]. 1002107 (x \ (y / z)) * T(z \ y,x \ (z \ y)) = (z \ y) * (x \ (y / z)). [para(4144(a,2),4075(a,1,1)),rewrite([541976(7),682(14),63069(13),21(11)])]. 1003479 L(x,(y * L(y,z,u)) \ w,a(u,z,y)) = L(x,w,a(u,z,y)). [para(13534(a,1),9446(a,2,2)),rewrite([7114(9),10098(7),69627(9)])]. 1004521 x * ((1 / x) * (y / ((1 / x) * y))) = y / ((1 / x) * y). [hyper(1467,a,10966,a,b,10593,a),rewrite([10410(12),10593(12),193328(12),492(4)])]. 1004641 (x / y) * (z / ((x / y) * z)) = (y \ x) * (z / ((y \ x) * z)). [hyper(1832,a,6224,a(flip),b,10593,a(flip)),rewrite([1105(8),682(8),146255(7),379(3),503(3)]),flip(a)]. 1004804 L(x / ((y \ 1) * x),y \ 1,y) = x / ((1 / y) * x). [back_rewrite(1004521),rewrite([1004641(7),3866(8)])]. 1004876 (x \ 1) * (y / ((x \ 1) * y)) = ((x \ y) / y) * x. [hyper(507,a,3999,a,b,10410,a),rewrite([1004804(7),5463(5),10410(11)]),flip(a)]. 1005500 a(x,a(y,y \ 1,z) * u,w) = a(x,u * a(y,y,z),w). [para(10743(a,1),2321(a,2,2)),rewrite([10410(4),2323(5),528386(5),528291(5),2326(10),619004(10)])]. 1005601 a(x,(y * (z \ (y \ z))) * u,w) = a(x,u * a(y,y,z),w). [back_rewrite(528291),rewrite([1005500(10)])]. 1005602 a(x,(y * (z \ (y \ z))) \ u,w) = a(x,u * a(y,y,z),w). [back_rewrite(335451),rewrite([1005500(10)])]. 1005897 (x * (y / (y * x))) \ x = 1 / (y / (y * x)). [hyper(1832,a,3340,a(flip),b,10850,a),rewrite([2034(6),3056(5),10593(6),14672(6),662364(4)])]. 1006478 R(x,(y \ z) * (z \ y),u) = L(x,(y \ z) * (z \ y),u). [hyper(1832,a,9727,a(flip),b,3561,a),rewrite([62805(10),372(6),20(7),714497(10),513084(11),2965(4),5329(4),372(1),378(2)]),flip(a)]. 1007299 (1 / (1 / x)) * (y \ (1 / x)) = x * (y \ (x \ 1)). [para(3145(a,1),10990(a,2,2)),rewrite([541976(11),1002107(11),54770(8)])]. 1007594 x * ((y * (x \ 1)) * x) = R(x * y,x,x \ 1). [para(4682(a,1),10990(a,2,2)),rewrite([391(8),644820(8),5164(8),5860(5),153(2),380(1),20(2),391(11)]),flip(a)]. 1007900 L(T((x \ 1) * y,x \ 1),x,x) = (x \ 1) * ((x * y) * (1 / x)). [hyper(1468,a,11090,a(flip),b,3275,a),rewrite([4394(7)]),flip(a)]. 1009475 a(x,y,z) \ ((a(x,y,z) * u) * w) = a(x,y,z) * ((a(x,y,z) \ u) * w). [hyper(507,a,13578,a,b,4447,a),rewrite([13578(6),8199(12),8201(12)])]. 1011946 T(x \ (1 / (y \ (y / x))),z) = x \ (1 / (y \ (y / x))). [hyper(507,a,2314,a,b,11821,a),rewrite([11225(8),160059(9),492(7),742(6),46(7),45(7),5902(7),19(5),46(5),493(5),11225(5),11821(11),11225(11)])]. 1012069 ((x * (y \ (y / x))) \ z) \ T(z,u) = x * ((y \ (y / x)) * K(z,u)). [para(11821(a,1),2129(a,1,1)),rewrite([682(11)])]. 1012085 a(x,a(y,z,z),u * a(z,z,y)) = a(x,a(z,z,y),u * a(y,z,z)). [para(11821(a,2),8301(a,1,1)),rewrite([11821(4),2325(8),528722(8),7744(6),773593(4),2325(12),528722(12),11064(10),821729(10),773435(8)]),flip(a)]. 1012122 a(x,y,(z * (u \ (u / z))) \ w) = a(x,y,a(u,z \ 1,z) * w). [para(11821(a,2),2472(a,1,3)),rewrite([11821(4),949104(9)])]. 1012728 a(x,y * a(z,z \ 1,u),w) = a(x,y * a(z,z,u),w). [para(11831(a,1),2328(a,2,2,2)),rewrite([1012069(6),134841(7),528379(5),1005601(5),5811(8),528523(8)]),flip(a)]. 1012950 (a(x,y \ 1,y) \ z) \ ((x \ (x / y)) * y) = z \ 1. [para(10926(a,1),4214(a,2,2)),rewrite([339816(4),372(1),372(2),20(3),108(2),7497(6),9634(6),9349(4),642881(6)]),flip(a)]. 1014380 L(x,y,a(z * u,z,z)) = L(x,y,a(z,z,u)). [para(689157(a,1),4642(a,1,3,1)),rewrite([816(10),1476(9),49930(8),97938(6),8569(5),754072(5),4642(3),816(8),851(7),754072(7)]),flip(a)]. 1015479 (x / (((x / y) \ 1) * y)) \ K(y,y \ x) = ((y \ x) \ 1) / (x / y). [para(108754(a,1),10326(a,1,1)),rewrite([611975(5),741(14),722745(15),723098(15),978538(15),568673(15)])]. 1020228 a(x * ((y * (z / u)) * w),v5,v6) = a(x * ((y * (u \ z)) * w),v5,v6). [para(7707(a,1),3159(a,1,1,1)),rewrite([845(8),828(7),3280(7),889(10),7707(13),845(13),828(12),3280(12)])]. 1022123 T(x / T(y * (z / y),y),T(z,y)) = ((y * (z / y)) \ x) * K(y,z). [para(7815(a,2),68261(a,1,1,1)),rewrite([7815(3),474(7),379(5),749(6),1000031(6),521(12)]),flip(a)]. 1023948 L(x,y,L(z / u,w,v5) \ v6) = L(x,y,L(u \ z,w,v5) \ v6). [para(5819(a,2),7827(a,1,3,1)),rewrite([969263(7),4842(5),11161(5),4842(8)])]. 1028293 (L(x,y,z) * u) \ (L(x,y,z) * (x \ u)) = (x * u) \ u. [para(4909(a,1),7943(a,2,1)),rewrite([741(10,R),5330(9),168697(9),541660(8),11587(9),276(6),12923(7),373(5),5545(5),541683(8),78830(4)]),flip(a)]. 1030147 a(x,x,y * (z * L(x,u,w))) = a(x,x,y * (z * x)). [para(3514(a,1),8276(a,2,3)),rewrite([5868(6),8870(6),8520(6),8599(6),8870(9),8520(9),8599(9)])]. 1030742 a(x \ (y \ x),z,u) * (x * y) = x * R(y,z,u). [hyper(1467,a,8817,a,b,13488,a),rewrite([9235(7)])]. 1030789 a(x \ (y \ x),z,L(u,y,x)) = a(y,z,u). [hyper(507,a,8599,a(flip),b,8817,a),flip(a)]. 1030821 a((x \ y) * y,z,a(u,u,w)) = a(x,u,a(w,z,u)). [hyper(152,a,6542,a,b,8817,a),rewrite([6542(4),8846(4),8871(6),80864(7)])]. 1030873 ((x * (y \ x)) * z) \ (x * (y \ x)) = (y * z) \ y. [hyper(1832,a,8817,a(flip),b,7029,a),rewrite([299(7),8091(7),8866(6),949125(6),21(4),9244(8)]),flip(a)]. 1031137 a(x * y,z,L(u,y * x,x)) = a(y \ x,z,L(u,x,x)). [para(6715(a,1),8817(a,1,1,2)),rewrite([9999(5),5411(4),7557(5),13254(4),927(9),5785(8),845(8)]),flip(a)]. 1031242 a(x * y,z,L(u,y * x,y)) = a(x \ y,z,L(u,y,y)). [para(4632(a,1),8817(a,1,1,2)),rewrite([847(5),193347(4),13254(4),5785(12),845(10)]),flip(a)]. 1031396 a((x * y) * z,u,L(w,z,y * x)) = a(z \ (y * x),u,w). [hyper(152,a,3401,a(flip),b,8836,a),rewrite([460374(6),879137(10)])]. 1031428 a((x \ y) * y,z,(y \ x) \ u) = a(x,z,x \ (y * u)). [para(5823(a,1),8836(a,1,3)),rewrite([22(2),11616(8)]),flip(a)]. 1031490 a((x \ y) * y,z,L(u,y,x * y)) = a(x,z,L(u,x,y)). [para(5312(a,2),8836(a,2,1)),rewrite([9359(8),889(8),7107(8),11812(7),4737(7),13265(8),851(8)])]. 1031896 a(x \ (y * ((z \ (u * u)) * w)),v5,v6) = a(x \ (y * (z * w)),v5,v6). [hyper(152,a,3572,a,b,8845,a),rewrite([9832(7)])]. 1031986 a((x \ y) * z,u,L(w,y * x,y * x)) = a((x \ y) \ z,u,w). [para(4677(a,1),8845(a,1,3)),rewrite([275898(9),883716(10),98806(8),10129(11)])]. 1032973 a(x,y * x,a(x * y,z,u)) = a(y,y * x,a(x,z,u)). [hyper(507,a,5218,a,b,9276,a),rewrite([5218(4),846729(4),8871(7),9832(7),9451(7)]),flip(a)]. 1032974 a(x * y,x * y,a(z,u,y)) = a(x,x * y,a(y,u,z)). [hyper(507,a,9012,a(flip),b,9276,a),rewrite([8871(8),9832(8),9451(8),1032973(8)])]. 1033163 a(x \ y,z,a(u,w,w)) = a(y * x,z,a(u,w,w)). [para(9300(a,1),8845(a,1,3)),rewrite([8104(5),19(4),8104(8),19(7)]),flip(a)]. 1033866 a(x,x,(a(x,y,z) \ u) * w) = a(x,x,(a(x,y,z) * u) * w). [para(9314(a,1),5221(a,1,3)),rewrite([8982(6),8806(7),333338(8)]),flip(a)]. 1033903 a(x * (y * L(z,y,x)),u,w) = a((x * y) * z,u,w). [para(9314(a,1),2537(a,2,1)),rewrite([5876(5),13500(7),98321(6)])]. 1034061 a(x,x,y * L(z,y,a(x,u,w))) = a(x,x,(a(x,u,w) * y) * z). [back_rewrite(601006),rewrite([1033866(8)])]. 1034296 a(x,y,z) \ (u \ ((u * a(x,y,z)) * w)) = L(w,a(x,y,z),u). [hyper(152,a,13578,a,b,9376,a),rewrite([13578(7),8468(9)])]. 1034329 (x \ ((a(y,z,u) \ x) * w)) * a(y,z,u) = L(w,a(y,z,u),x). [hyper(152,a,13482,a(flip),b,9376,a),rewrite([9315(3),246789(9),8468(9)])]. 1036431 a(x,x \ y,y \ z) * (y \ z) = (x \ y) \ (x \ z). [para(7835(a,2),9382(a,2,1)),rewrite([22(3),22(3),7835(8)]),flip(a)]. 1037707 a(x,x,y * ((z \ 1) * u)) = a(x,x,y * (z \ u)). [para(3515(a,1),9550(a,1,3,2)),rewrite([5876(3),3262(2),873(5)])]. 1037793 a(x * L(y,z,z),u,a(u,w,v5)) = a(v5,w,a(u,u,x * y)). [para(9550(a,1),8716(a,1,3)),flip(a)]. 1038568 ((x / y) * (y / x)) * x = ((x / y) \ 1) \ y. [hyper(507,a,5667,a,b,9585,a),rewrite([11962(6),245524(9),335309(9)]),flip(a)]. 1038639 (x \ 1) * a(y,z,L(u,x,x)) = x \ a(y,z,u). [hyper(1468,a,13482,a,b,9585,a(flip)),rewrite([9195(8),20(6),13482(7),519453(6)])]. 1038868 (x \ y) \ (z * ((x \ 1) \ (x \ y))) = ((x \ 1) * y) \ (z * y). [para(9585(a,2),5534(a,1,3)),rewrite([9585(11),10921(12),9831(9),130368(8)]),flip(a)]. 1038878 (x \ 1) \ ((y / x) * L(x,z,u)) = (L(x,z,u) \ 1) \ y. [para(3465(a,1),9585(a,2,2)),rewrite([11682(9),527927(9),8870(8),851(8),9666(7),8599(7),9585(8),6831(5),284772(13)])]. 1039613 a(x * y,(x \ 1) * y,z) = a(x * y,x \ y,z). [para(9587(a,1),244762(a,1,1,2)),rewrite([912328(9),11754(7),242333(6),7106(12),948520(10)])]. 1040036 (x \ (y * z)) / ((x \ y) * z) = a(x,x \ y,z). [hyper(507,a,9479,a,b,9589,a),rewrite([9479(4),22(4)]),flip(a)]. 1040920 (a(x,x \ 1,y) \ x) \ z = (x \ z) * a(x,x \ 1,y). [para(9593(a,1),5823(a,1,2)),rewrite([6919(13),881(11),7114(11),881(9),8183(9),4936(10)])]. 1041433 L(x,((y \ (z \ y)) * z) * u,w) = L(x,a(z,z \ 1,y) * u,w). [para(9594(a,1),902(a,2,2,1)),rewrite([9729(5),11354(5)])]. 1042058 a(x * a(y,y,z * y),u,w) = a(x * a(y,y,z),u,w). [para(9596(a,2),2529(a,2,1,2)),rewrite([827(7),976911(7),2529(7),335423(7),8870(3),8520(3),8599(3),11682(10),8870(10),9666(10),8599(10),334347(10),9827(6)]),flip(a)]. 1043042 a(x,y \ 1,y) \ (z \ a(x,y \ 1,y)) = z \ 1. [hyper(1466,a,9668,a,b,7096,a),rewrite([9687(9),11297(13),558290(10),9687(12),1012950(16)])]. 1044049 a(x,(y * x) * y,L(z,y,y)) = a(x,(y * x) * y,z). [para(45861(a,1),56607(a,1,1,1)),rewrite([10134(9),331163(4),850(7),11503(7),21(2),97938(8)]),flip(a)]. 1044610 a(x,L(y \ 1,y,z) * z,u) = a(x,y \ z,u). [para(45871(a,1),2333(a,1,2)),rewrite([2321(5),2332(4),7954(4),3150(4),763(9),2326(10),82602(8),134807(8)]),flip(a)]. 1046979 K(x,y * y) * (L(x,z,u) \ (y * y)) = (L(x,z,u) / (y * y)) \ 1. [para(306(a,1),33582(a,1,1))]. 1047752 (x / y) \ (((y \ x) * (y \ x)) * z) = (1 / T(y \ x,y)) \ z. [para(3507(a,1),70338(a,1,2)),rewrite([9613(13)])]. 1049715 T(x,x \ y) * ((a(z,u,w) \ x) \ y) = x * (y / (a(z,u,w) \ x)). [para(8199(a,1),68719(a,1,2,1)),rewrite([8201(4),5330(4),168697(4),5282(4),8201(10),3264(13),755082(11)])]. 1050651 L(x,(((y / z) \ u) \ w) * v5,v6) = L(x,(((z \ y) \ u) \ w) * v5,v6). [para(68759(a,1),902(a,2,2,1,1)),rewrite([762(6),923(7),152133(9),902(6),152138(6),152138(12)])]. 1050677 a(x,(y \ ((z / u) \ w)) * v5,v6) = a(x,(y \ ((u \ z) \ w)) * v5,v6). [para(68759(a,1),2324(a,2,2,1,2)),rewrite([762(6),7375(9),2324(6),528343(6),528343(12)])]. 1050689 (x / (y / z)) * R(y / z,u,w) = (x / (z \ y)) * R(z \ y,u,w). [para(68759(a,1),5559(a,1,1)),rewrite([68759(10),3176(9),296983(11),1104(14),548(14),769(14),2966(13),153(11,R),22(9),5124(12),11393(12)]),flip(a)]. 1050700 a(x,(y \ ((y \ 1) \ z)) * u,w) = a(x,u * L(z,y,y),w). [back_rewrite(797304),rewrite([1050677(6)])]. 1058255 L(L(x,y,z),u,w) * (v5 * x) = x * (v5 * L(L(x,y,z),u,w)). [para(17298(a,1),4726(a,2,1)),rewrite([31(6),31(5),32(4),976(3),1343(4),164464(5)]),flip(a)]. 1061496 (x * y) \ ((y * z) * (z \ x)) = K(y,x) * a(y,z,z \ x). [hyper(1465,a,5971,a(flip),b,150756,a),rewrite([851(4),1104(4),2474(10)]),flip(a)]. 1061601 x * ((y \ a(z,u,y \ 1)) * y) = (y * L(1 / y,u,z)) \ x. [para(14423(a,2),150756(a,1,2,1)),rewrite([306(4),14423(8),855226(8),114483(8),298(10),14425(13)])]. 1062187 (x * y) \ (z \ T(z * x,y)) = L(T(y,z * x) \ 1,y,x). [para(225(a,1),293746(a,1,2)),rewrite([22(6),12923(9),373(7),22(15)])]. 1062330 L(x,y,y) * L(y \ z,y,y * x) = (L(x,y,y) / y) * z. [hyper(1468,a,10862,a(flip),b,69742,a),rewrite([5650(10),14620(9)])]. 1063074 L(x,y,a(y * x,y \ x,z)) = x. [hyper(6259,a,769580,a,b,1582,a),rewrite([749(3),1742(3),12658(3),380(1),378(2),174578(7),1104(9),676(9),3485(5),174(4),502(4),22(2)]),flip(a)]. 1067719 L(x \ y,x,a(y,y,z)) = x \ y. [hyper(152,a,8746,a,b,911757,a)]. 1067729 L(L(x \ y,z,u),y,a(y,x,w)) = L(x \ y,z,u). [hyper(6259,a,911757,a(flip),b,43354,a),rewrite([911757(7),300(7),911757(7),9236(8)])]. 1067841 (a(x,x,y) \ z) \ ((y / (x * y)) \ 1) = z \ x. [back_rewrite(948624),rewrite([1067719(3)]),flip(a)]. 1069104 L(x,x \ y,a(y,y,z)) = x. [para(11489(a,2),1063074(a,1,3,2)),rewrite([11489(12),7106(12),22(5),890198(8),7114(5)])]. 1069295 (x \ y) * a(y,y,z) = x \ R(y,y,z). [hyper(1832,a,1069104,a(flip),b,14641,a),rewrite([300(4),121975(4),322621(4),4920(4)]),flip(a)]. 1070736 a(x,y,a(z,u,w) * a(w,u,z)) = 1. [para(4097(a,1),2522(a,2,3)),rewrite([793(10),21(7),22(6),897359(5),11005(9),17(9)])]. 1072669 L(x,(R(y,z,u) \ w) * v5,v6) = L(x,(L(y,z,u) \ w) * v5,v6). [para(5624(a,1),4175(a,1,2)),rewrite([879(5),2535(9),4175(9),5624(11),879(9)])]. 1072746 L(x,(L(1 / y,z,u) \ 1) * w,v5) = L(x,(a(y,z,u) \ y) * w,v5). [back_rewrite(843222),rewrite([1072669(7)])]. 1079428 a(x,y,z) \ ((1 / u) \ a(x,y,z)) = ((a(x,y,z) / u) \ 1) * a(x,y,z). [hyper(6259,a,4328,a,b,9315,a),rewrite([299(3),9576(5),10585(6),5262(5),5253(9),372(7),378(8),299(13),78378(14),10460(15),246818(16),754588(16),5547(17),3911(17),9484(14),108(14),378(14),13482(13)])]. 1079450 (a(x,y,z) / u) \ (a(x,y,z) * a(x,y,z)) = (1 / u) \ a(x,y,z). [hyper(507,a,13408,a(flip),b,4328,a),rewrite([246838(6),9035(7),844552(8),5262(6),1079428(7),8565(8),918962(8),246838(14),8909(14),844552(15),13408(15),22(14),157101(14),372(11),3911(13),108(12),378(12)])]. 1080179 L(x,(y \ (z \ y)) \ 1,u) = L(x,y \ ((z \ 1) \ y),u). [para(4338(a,1),882(a,1,2,1)),rewrite([913741(9)]),flip(a)]. 1084561 (T(x,y) * (1 / x)) * ((z / x) \ u) = (z / T((x \ 1) \ 1,y)) \ u. [hyper(1468,a,10933,a,b,6942,a),rewrite([10933(17),880398(16),302627(9)])]. 1084705 L(x,y * ((T(z,u) \ w) \ v5),v6) = L(x,y * ((z \ w) \ v5),v6). [para(6942(a,1),2412(a,1,2,2,1)),rewrite([99625(7),2412(6),11037(4),11037(9)]),flip(a)]. 1084706 a(x,y,((T(z,u) \ w) \ v5) \ v6) = a(x,y,((z \ w) \ v5) \ v6). [para(6942(a,1),2473(a,1,3,1,1)),rewrite([10280(7),2473(6),7001(4),7001(9)]),flip(a)]. 1084923 L(x,y \ L(z * y,u,w),v5) = L(x,y * L(y \ z,u,w),v5). [para(4531(a,1),881(a,1,2)),rewrite([896041(4)]),flip(a)]. 1084945 R(x,y,z \ L(u * z,w,v5)) = R(x,y,z * L(z \ u,w,v5)). [para(4531(a,1),1859(a,1,3)),rewrite([896175(4)]),flip(a)]. 1085628 (a(x,y,a(z,u,w)) * v5) * a(w,u,z) = a(w,u,L(z,y,x)) * v5. [para(5401(a,2),286(a,2,1)),rewrite([13271(5),503927(9),8871(8),7114(9),296257(7),299(6),246779(11),8104(7),19(6),13597(7),20(7),9863(8),13597(6)]),flip(a)]. 1085647 a(x \ (L(y \ 1,z,u) * y),w,v5) = a(x \ a(u,z,y \ 1),w,v5). [para(5401(a,1),841(a,2,1,2)),rewrite([676(7),285078(8),6970(8),286342(6),98989(7)]),flip(a)]. 1085773 a(x \ (y \ L(y \ 1,z,u)),w,v5) = a(x \ a(u,z,y \ 1),w,v5). [para(5401(a,1),3834(a,2,1,2)),rewrite([919(5),3264(5),977350(9),1085647(12)])]. 1086900 a(x,y,z * ((u * (w \ K(v5,v6))) * w)) = a(x,y,z * L(u,w,w)). [para(12142(a,2),792(a,1,3,2)),rewrite([12142(10),923(4),20(3),9741(6),806080(6),923(7),20(6)]),flip(a)]. 1087531 L(T(x,y),z,u) * L(x,w,v5) = L(x,z,u) * L(T(x,y),w,v5). [para(4916(a,1),45871(a,1,1,2)),rewrite([391(5),2867(7),306(8),12820(7),373(4),20(4),677(4),155(3),4916(10),391(9),31(6)]),flip(a)]. 1088920 a(x,y,y) * (x / z) = R(x,y,y) / z. [hyper(1468,a,11340,a,b,12740,a(flip)),rewrite([11340(9),12740(6),853540(5)])]. 1093060 a(x,(y \ 1) \ (z * y),u) = a(x,(y * y) * z,u). [para(5513(a,1),816(a,1,2)),rewrite([202107(10)])]. 1093061 L(x,(y \ 1) \ (z * y),u) = L(x,(y * y) * z,u). [para(5513(a,1),883(a,1,2)),rewrite([285357(10)])]. 1093135 a(x,y,z * ((u \ 1) \ (w * u))) = a(x,y,z * ((u * u) * w)). [para(5513(a,1),810(a,1,3,2)),rewrite([569255(12)])]. 1093158 a(x,y,((z \ 1) \ (u * z)) \ w) = a(x,y,u \ ((z * z) \ w)). [para(5513(a,1),909(a,1,3,1)),rewrite([313802(11),535424(12)])]. 1093259 a(x,y,((z \ 1) \ (z * u)) * w) = a(x,y,w * ((z * z) * u)). [para(5513(a,2),1995(a,2,3,2)),rewrite([5513(11),1093135(12)])]. 1093312 R(x,y,((z \ 1) \ (u * z)) \ w) = R(x,y,(z * z) \ (u \ w)). [para(5513(a,1),6387(a,1,3,1)),rewrite([313802(11),731969(12)])]. 1093335 a(x,y * ((z \ 1) \ (u * z)),w) = a(x,(z * z) * (u * y),w). [para(5513(a,1),6748(a,1,2,2)),rewrite([569488(12)])]. 1093959 (x \ 1) * (x \ (y * (1 / x))) = ((x * x) \ y) * (x \ 1). [para(5499(a,1),4396(a,1,2)),rewrite([391(5),3508(7),5876(5),391(14),5500(12)]),flip(a)]. 1094297 ((x * (y \ 1)) * (y \ 1)) * y = R(x,y,y \ 1) * (y \ 1). [hyper(4954,a,14782,a,b,6194,a),rewrite([545431(10)])]. 1094824 (a(x,y,z) \ u) \ (a(x,y,z) \ w) = (a(x,y,z) * u) \ (a(x,y,z) * w). [para(296(a,1),5575(a,1,1,1)),rewrite([296(7),8199(9),8199(11)]),flip(a)]. 1095035 (x \ a(y,z,z)) \ ((x \ 1) * u) = (x * a(y,z,z)) \ (x * u). [para(9477(a,1),5575(a,1,1))]. 1097687 (x \ 1) * R(x \ 1,y,z) = R(x \ 1,y,z) / x. [hyper(507,a,2902,a(flip),b,10591,a),rewrite([24993(11),12736(12)])]. 1097832 R(x,y,z) * (R(x,u,w) \ 1) = R(x,u,w) \ R(x,y,z). [para(5115(a,1),10591(a,1,2,1,2)),rewrite([4920(7)]),flip(a)]. 1097916 x \ (a(x,y,z) \ R(x,u,w)) = R(x,y,z) \ R(x,u,w). [back_rewrite(897420),rewrite([1097832(9)])]. 1097925 a(x,x,a(y,z,u \ L(w,v5,v5))) = a(y,z,a(x,x,u * w)). [hyper(507,a,9012,a(flip),b,4862,a),rewrite([774095(9),2558(9),1037793(8)])]. 1097926 a(L(x,y,y) * z,u,a(w,w,v5)) = a(v5,u,a(w,w,z * x)). [hyper(507,a,8943,a(flip),b,4862,a),rewrite([1097925(4),8849(8),40303(8)]),flip(a)]. 1099357 L(x,y \ (z * L(y,u,w)),v5) = L(x,L(y,u,w) * (y \ z),v5). [para(4894(a,1),882(a,1,2,1)),rewrite([541299(4),9792(4)])]. 1099364 R(x,y \ (z * L(y,u,w)),v5) = R(x,L(y,u,w) * (y \ z),v5). [para(4894(a,1),1849(a,1,2,1)),rewrite([541299(4),9792(4)])]. 1099381 R(x,y,z \ (u * L(z,w,v5))) = R(x,y,L(z,w,v5) * (z \ u)). [para(4894(a,1),3024(a,1,3,1)),rewrite([541299(4),9792(4)])]. 1099569 L(x,y,z) * (u * (L(x,y,z) \ 1)) = x * (u * (x \ 1)). [para(4915(a,2),5637(a,1,1,2)),rewrite([4915(5),5254(4),11459(8),561424(8),5637(6),373(6),373(12)]),flip(a)]. 1100264 (x * (((y * z) \ y) \ 1)) \ (x * z) = ((y * z) \ y) * z. [hyper(507,a,4474,a,b,10037,a),rewrite([7914(6),79530(6),311148(6),10037(12)])]. 1100359 (x / y) * (((z * y) \ z) \ 1) = (((z * y) \ z) * y) \ x. [para(10037(a,2),4357(a,2,2)),rewrite([7914(7),79530(7),311148(7),10037(11),12136(10)])]. 1100386 ((x * (y \ K(z,u))) \ x) * (y \ K(z,u)) = y * (x \ (x / y)). [para(2082(a,1),10037(a,1,1)),rewrite([923(7),150814(6),11742(5)]),flip(a)]. 1100413 T(x \ (((y * x) \ y) \ 1),z) = x \ (((y * x) \ y) \ 1). [para(10037(a,1),11139(a,1,2)),rewrite([11961(5),166887(6),21(2),372(1),20(3),108(2),12136(5),11087(5),10037(11),12136(10),11087(10)]),flip(a)]. 1101149 (x \ (x / y)) \ ((y * y) \ z) = L(y,y \ 1,x) \ z. [para(9730(a,1),5515(a,1,1,2)),rewrite([492(4),9687(4),9236(4),492(12),3508(10)]),flip(a)]. 1102266 R(T(1 / T(x,y),z * x),x,z) = (T(x,y) * z) \ z. [para(204(a,1),5165(a,1,1,1)),rewrite([3178(10),193508(11)])]. 1103482 a(x,x,(a(y,z,x) \ u) * w) = a(x,x,(a(x,z,y) * u) * w). [para(10008(a,1),7027(a,1,3)),rewrite([5242(4),8380(4),9939(4),1034061(4),299(7),5266(7),502(8)]),flip(a)]. 1104230 L(x,y,L((z * u) \ u,w,z) \ v5) = L(x,y,((z * u) \ u) \ v5). [para(5523(a,1),7827(a,1,3,1)),rewrite([316712(5),671698(5)])]. 1104566 a(x \ a(y,z,u \ 1),w,v5) = a(x \ a(u,z,y),w,v5). [para(2902(a,2),4859(a,1,1,2)),rewrite([2902(6),1097687(6),7145(6),926734(6),1085773(6),13434(9)])]. 1104701 a(x \ ((y \ a(z,z,u)) * u),w,v5) = a(x \ (y * L(u,z,z)),w,v5). [para(9288(a,1),4859(a,2,1,2)),rewrite([9576(4),9299(4)])]. 1106259 L(x \ 1,y \ L(z,u,w),x) = L(x \ 1,y \ z,x). [hyper(507,a,3264,a(flip),b,9705,a),rewrite([3264(11)]),flip(a)]. 1106633 a(x,y,z * a(u,u,w * u)) = a(x,y,z * a(u,u,w)). [para(9709(a,2),791(a,2,3,2)),rewrite([791(7),793(5),96575(5),10581(9)]),flip(a)]. 1106634 L(x,a(y,y,z * y),u) = L(x,a(y,y,z),u). [para(9709(a,2),874(a,2,2)),rewrite([874(6),878(4),10888(4),99597(4),335427(7)]),flip(a)]. 1106648 a(x,a(y,y,z * y),u) = a(x,a(y,y,z),u). [para(9709(a,2),2333(a,1,2)),rewrite([528713(5),5069(6)])]. 1106652 a(x,y * a(z,z,u * z),w) = a(x,y * a(z,z,u),w). [para(9709(a,2),935(a,2,2,1)),rewrite([6474(7),935(7),436334(5),1005602(5),97527(9),1005500(9)]),flip(a)]. 1108746 ((x / (x * y)) * y) * L(z,y,y) = (x / (x * y)) * (y * z). [hyper(1467,a,9714,a,b,3749,a),rewrite([9714(3),919(6),5524(6),8040(6)])]. 1113380 a(x,y,a(z,u \ 1,u) * w) = a(x,y,w * a(z,u,u)). [para(9821(a,1),908(a,2,3,2)),rewrite([10964(6),1012122(5),535365(10)])]. 1115656 L(x,y,y) * L(z \ u,z,z * x) = a(y,y,x) \ ((x / z) * u). [para(9826(a,2),9304(a,1,2))]. 1115847 (x / y) * (a(y,y,x) \ z) = (L(x,y,y) / y) * z. [back_rewrite(1062330),rewrite([1115656(5),704193(4)])]. 1115848 a(x,x,y) \ ((y / x) * z) = (L(y,x,x) / x) * z. [back_rewrite(704193),rewrite([1115847(8)])]. 1115940 a(x,a(y * z,z,z),u) = a(x,a(z,z,y),u). [para(9827(a,2),8031(a,1,2)),rewrite([9827(3),1106648(3)]),flip(a)]. 1116023 R(x,y * (z * R(u,w,v5)),v6) = R(x,y * (z * L(u,w,v5)),v6). [hyper(1832,a,2570,a(flip),b,9828,a(flip)),rewrite([5945(4),9828(10),391(6)]),flip(a)]. 1116025 R(x,y * R(z,u,w),v5) = R(x,y * L(z,u,w),v5). [hyper(1832,a,2568,a(flip),b,9828,a(flip)),rewrite([5944(3),9828(8),391(5)]),flip(a)]. 1116497 a(x \ y,z,u * (x \ 1)) = a(y * x,z,x \ u). [para(5827(a,1),9833(a,1,3)),rewrite([5876(4),95746(5),3262(3),786(5),777(9)])]. 1117663 a(x,x * (y \ 1),z) = a(x,y \ x,z). [para(12713(a,1),10995(a,1,1)),rewrite([718368(7),23(7),2330(7),851(7),12713(8),2330(11),22(10),851(9)])]. 1117793 L(x,L(y \ 1,z,z),y * z) = L(x,y \ 1,y * z). [hyper(507,a,11873,a,b,11130,a),rewrite([7107(6),11873(4),4676(11)]),flip(a)]. 1118148 L(x,x,(y * z) * (y * x)) = L(x,x,x * z). [hyper(507,a,66750,a,b,11421,a),rewrite([524974(4),11421(8),525209(7)])]. 1118219 L(x,x,(y \ z) * x) = L(x,x,z * (y * x)). [para(5535(a,1),11421(a,2,3)),rewrite([11421(6),2904(5),12549(3),12549(9),1118148(9),502(6)]),flip(a)]. 1118225 L(x,x,x * (y * (z * x))) = L(x,x,y * z). [para(5621(a,1),11421(a,1,3,1)),rewrite([1503(5),1118219(4),525183(4),1503(9),1118219(8),10669(8)])]. 1118286 L(x,x,y * L(z,x,y)) = L(x,x,z * y). [back_rewrite(525207),rewrite([1118225(7)])]. 1118291 L(x,x,(x \ y) * z) = L(x,x,y * (z * x)). [back_rewrite(525006),rewrite([1118286(4)])]. 1119270 a(x,L(y,z,u) * w,L(y,y,w)) = a(x,L(y,z,u) * w,y). [para(12539(a,1),13477(a,1,3)),rewrite([13299(5)])]. 1119408 L(x,x,y * (z \ ((x \ 1) \ z))) = L(x,x,y * x). [para(3867(a,1),12542(a,1,3,2)),rewrite([10105(6),747979(6)])]. 1120401 a((x * y) * z,z,L(x,x,y)) = a(z * (x * y),z,x). [para(8424(a,2),13010(a,1,3)),rewrite([81725(4),7566(5)])]. 1121051 (x / y) * ((x * y) \ z) = x * (((x * y) * y) \ z). [hyper(1468,a,3869,a(flip),b,13176,a(flip)),flip(a)]. 1121054 (x \ y) * L(x \ z,x,y) = ((x \ y) / x) * z. [hyper(1468,a,2904,a(flip),b,13176,a(flip))]. 1121502 ((x / y) / y) \ x = x \ ((x * y) * y). [back_rewrite(848845),rewrite([1121051(4),848838(3),22(4)])]. 1121564 x * L(y,z,z * x) = (x / z) * (z * y). [hyper(507,a,4059,a,b,13177,a),rewrite([468731(5),502(6),883(6)]),flip(a)]. 1121635 T((1 / x) / y,y * x) = R(y * x,y,x) \ 1. [hyper(6259,a,4554,a(flip),b,13177,a(flip)),rewrite([1504(10),4676(10),845474(10)])]. 1122328 (x / y) * (a(y * x,z,u) \ y) = a(y * x,z,u) \ x. [para(7414(a,1),13177(a,1,2)),rewrite([246937(4),8200(5),246937(8),8200(9)]),flip(a)]. 1122416 R(x * y,x,y) = ((1 / y) / x) \ 1. [back_rewrite(203463),rewrite([1121635(6),391(6)])]. 1122430 a(x * y,x,z) \ y = ((y / x) * (x * z)) / z. [back_rewrite(937387),rewrite([1122328(9)]),flip(a)]. 1122444 a(x,(y \ z) \ 1,z) = a(x,z \ y,z). [hyper(6259,a,13188,a,b,8666,a),rewrite([818(4),10142(4),881(11),903(11),615283(11),5544(11),7131(9),492(7),19(6),303(5),881(11),903(11),615283(11),13188(13),13572(15),919(9),81725(9),20(8),919(7),81725(7),13299(8),13475(7)])]. 1122589 (1 / (x / T(y,z))) * x = T((1 / (x / y)) * x,z). [hyper(152,a,31,a,b,13188,a),rewrite([1503(5),5788(4),13188(3)]),flip(a)]. 1122768 ((1 / (x / y)) * x) * y = y * ((1 / (x / y)) * x). [para(13188(a,1),1708(a,1,1)),rewrite([13188(8)])]. 1123450 L((x \ y) \ y,x \ z,x * z) = T((1 / (z / x)) * z,x \ y). [back_rewrite(466127),rewrite([1122589(11)])]. 1123480 a(x,(y \ (y \ x)) \ 1,L(z,y,y)) = a(x,(x \ y) * y,z). [hyper(152,a,9825,a,b,13254,a),rewrite([9825(10),174943(7),244465(5),2312(5)]),flip(a)]. 1123482 a(x,y \ (y \ x),a(z,u,L(w,y,y))) = a(x,x,a(z,u,w)). [hyper(152,a,8961,a,b,13254,a),rewrite([13254(5),13254(5),8961(4),8870(3),8599(3),8871(6)]),flip(a)]. 1123483 a(x,y,a(z,u \ (u \ z),w)) = a(z,z,a(w,y,x)). [hyper(152,a,8943,a,b,13254,a),rewrite([174578(5),22(2),8871(8),1123482(9)])]. 1123486 a(x,y,a(z,u,w \ (w \ v5))) = a(v5,u,a(x,y,L(z,w,w))). [hyper(152,a,8811,a,b,13254,a),rewrite([8871(6)])]. 1123867 L(x,a(y,z,u * (u * w)),v5) = L(x,a(w,z,L(y,u,u)),v5). [para(13256(a,1),8032(a,1,2)),flip(a)]. 1124879 a((x \ y) * y,z,z \ y) = a(x,z,L(z \ y,y,y)). [para(9344(a,1),13420(a,1,3)),rewrite([8870(4),13196(4),8870(7)])]. 1124974 a(x,y,L(y \ z,z,z)) = ((x * y) * (y \ z)) * ((x * z) \ 1). [back_rewrite(902865),rewrite([1124879(4)])]. 1125601 a(x,L(y,y,z),L(L(z,y,y),z,y * z)) = a(x,y,z). [para(11130(a,1),13475(a,1,3)),rewrite([4906(3),13396(3),9235(2),5817(5),4906(8),13396(8),9235(7),5817(8),772777(8),8569(7)])]. 1126607 (x \ 1) * ((y * x) \ y) = ((y * x) \ y) / x. [hyper(1468,a,13596,a(flip),b,5193,a),rewrite([948299(9),948376(5)])]. 1126739 ((x * y) \ x) * (y \ 1) = ((x * y) \ x) / y. [back_rewrite(948376),rewrite([1126607(10)])]. 1130027 L(L(x \ 1,y,z) \ u,x \ 1,x) = (L(1 / x,y,z) \ 1) * u. [hyper(152,a,3277,a(flip),b,4628,a),rewrite([2457(5),561424(15)]),flip(a)]. 1132545 L(x,y,z) * (x \ (L(u / (u / x),y,z) \ w)) = (u / (u / x)) \ w. [hyper(1468,a,8012,a(flip),b,4898,a),rewrite([91494(12)])]. 1132607 L(x,y,z) \ (T(u,w) * (x \ 1)) = x \ (T(u,w) * (L(x,y,z) \ 1)). [para(5508(a,1),4898(a,2,2)),rewrite([1099569(7),5508(7)])]. 1132687 L((x * y) / x,z,u) * (y \ (L(y,z,u) \ w)) = T(y,x) \ w. [para(4898(a,1),3219(a,1,2)),rewrite([5612(3),305(9),2310(10)])]. 1133256 L((x * y) / x,z,u) * (y \ w) = L(y,z,u) * (T(y,x) \ w). [para(4918(a,1),4886(a,1,2)),rewrite([5612(3),5612(9),1132687(13)])]. 1133291 (T(x,y) \ z) \ T(y,x) = (x \ z) \ y. [para(4918(a,1),2037(a,2,1)),rewrite([5612(3),1133256(7),284721(5),541336(6),298(4)])]. 1133344 a(x * (L(L(y,z,u),z,u) \ w),v5,v6) = a(x * (y \ w),v5,v6). [para(4918(a,1),9815(a,2,1,2)),rewrite([9485(7),9815(9),8573(5)])]. 1133411 (a(x,y,z) \ u) / (x * (a(x,y,z) \ u)) = a(x,x,u) / x. [hyper(1832,a,4930,a,b,5063,a),rewrite([4930(5),8104(9),7027(9)])]. 1133434 a(x,y,z) * L(x,y,a(z,u,w)) = R(x,y,L(z,u,w)). [hyper(1468,a,9315,a(flip),b,4930,a),rewrite([13597(4),9090(4),8871(6),9238(7)])]. 1133652 R(T(1 / x,y),x,a(x,z,u) \ w) = T(a(x,x,w) / x,y). [para(4930(a,2),5891(a,1,1,2)),rewrite([4930(5),1133411(6)]),flip(a)]. 1133758 x * (a(y,z,a(u,w,x)) * v5) = x * (a(x,w,a(y,z,u)) * v5). [para(8811(a,1),4930(a,1,1)),rewrite([13597(4),122813(4),13597(7)])]. 1134047 (x \ 1) \ (y * a(x,z,u)) = ((x \ 1) \ y) * a(x,z,u). [hyper(123,a,5511,a(flip),b,4935,a),rewrite([21(10)])]. 1134143 R(x,y,z) * a(x,y,a(z,u,w)) = R(x,y,L(z,u,w)). [para(13445(a,1),4935(a,1,2,1)),rewrite([8982(3),9238(4),5242(3),1133434(4),8982(5)]),flip(a)]. 1134295 a(x,y,L(z,u,w)) / R(x,y,z) = a(x,y,a(z,u,w)) / x. [para(13424(a,1),4935(a,1,2,1)),rewrite([8982(6),13286(8),686561(6),8982(8),3881(9)])]. 1134346 ((x \ 1) \ y) * a(x,x,z) = (R(x,x,z) \ 1) \ y. [back_rewrite(948906),rewrite([1134047(5)])]. 1134359 (a(x,y,z) * u) * (u \ x) = R(x,y,L(z,u,x * u)). [back_rewrite(598575),rewrite([1134143(5),8303(2)]),flip(a)]. 1134405 R(x,y,z) \ R(x,y,L(z,u,x * u)) = a(x,y,a(z,u,u \ x)). [back_rewrite(902851),rewrite([1134359(4),43536(5)])]. 1134474 (x * x) * (y * a(x,z,u)) = (x * R(x,z,u)) * y. [hyper(1468,a,4936,a(flip),b,3511,a),rewrite([850(6),3266(6),333388(6),850(8),3266(8),42613(8)])]. 1134705 (x \ y) * a(z,u,a(w,w,x)) = L(x,w,a(w,u,z)) \ y. [para(8342(a,1),4936(a,2,2)),rewrite([4936(4),216648(4)]),flip(a)]. 1134716 a(x,y,a(y,z,u)) * (u \ w) = L(u,z,a(y,y,x)) \ w. [para(8899(a,1),4936(a,1,2,1)),rewrite([125230(4),281304(8)])]. 1134720 (x \ y) * a(z,z,a(u,w,x)) = L(x,w,a(u,z,z)) \ y. [para(8943(a,1),4936(a,2,2)),rewrite([4936(4),216696(4)]),flip(a)]. 1134796 x * (((1 / x) \ y) * a(x,z,u)) = (x * R(x,z,u)) * y. [back_rewrite(333388),rewrite([1134474(10)])]. 1135003 R(x,y,z) \ R(x,u,w) = a(x,y,z) \ a(x,u,w). [para(9234(a,1),4937(a,1,2)),rewrite([1097916(7)]),flip(a)]. 1135237 a(x,y,a(z,u,u \ x)) = a(x,y,a(z,u,u)). [back_rewrite(1134405),rewrite([1135003(5),70626(4),13284(4)]),flip(a)]. 1135365 a(a(x,x,y * x) * z,u,w) = a(z * a(x,x,y),u,w). [para(4963(a,1),4851(a,1,1,2)),rewrite([9232(4),9531(8),1042058(8)])]. 1135368 a(x,a(y,y,z * y) * u,w) = a(x,u * a(y,y,z),w). [para(4963(a,1),7829(a,1,2,1)),rewrite([8871(4),5077(3),1106652(8)])]. 1135646 a(x,y,z) * ((x * x) * u) = (x * R(x,y,z)) * u. [para(3507(a,1),4971(a,1,2)),rewrite([1134796(10)])]. 1136443 L(x,y,(z \ L(u,z,z)) * w) = L(x,y,(z * u) * w). [para(69750(a,1),2904(a,1,3,1)),rewrite([619361(7),1115656(5),1115848(4),1504(4)])]. 1136568 L(x,y,(L(z,z,u) \ u) * w) = L(x,y,(z * u) * w). [back_rewrite(289159),rewrite([1136443(8)])]. 1138286 R(x,y,((z * z) \ u) * w) = R(x,y,u * ((z * z) \ w)). [para(73691(a,2),2918(a,1,3,1)),rewrite([1842(7)])]. 1138288 a(x,((y * y) \ z) * u,w) = a(x,z * ((y * y) \ u),w). [para(73691(a,2),3150(a,1,2,1)),rewrite([2321(7)])]. 1138348 L(x,y * (((z * z) \ u) * w),v5) = L(x,y * (u * ((z * z) \ w)),v5). [para(73691(a,2),2412(a,1,2,2,1)),rewrite([12045(8)])]. 1140147 T(T(x,y),z) \ ((u * x) \ w) = x \ ((u * T(T(x,y),z)) \ w). [para(896(a,1),100193(a,1,2)),rewrite([869225(11)]),flip(a)]. 1148516 R((x \ 1) \ 1,y,z) \ ((R(x,y,z) \ 1) \ u) = x \ ((1 / x) \ u). [para(22952(a,2),3484(a,1,1,2)),rewrite([22952(6),741(5),2706(5),880602(16)])]. 1149109 K(x,T(y \ (z \ u),w * (v5 * u))) = K(x,T(u / (z * y),w * v5)). [para(5931(a,2),133132(a,1,2,2,2)),rewrite([5931(5),12434(7),22(4),206097(12),16118(12),12109(11)])]. 1149132 K(x,T(y \ ((z / u) / w),v5)) = K(x,T(y \ (z / (w * u)),v5)). [para(5938(a,2),133132(a,1,2,2,2)),rewrite([5938(7),328011(8),28652(7),1149109(7),613313(6),468785(6),206097(11),12040(11),12984(11),206097(10)]),flip(a)]. 1153387 (x / (y * x)) \ ((y * y) \ z) = R(y,y,x) \ z. [para(14704(a,1),3869(a,2,1)),rewrite([497(9)])]. 1155653 1 / ((x * (y \ 1)) \ x) = ((x * (1 / y)) \ x) \ 1. [para(4163(a,1),4414(a,2,2,1)),rewrite([2082(7),6381(5),979(4),167604(6),1097(5),58357(6),1097(3),40392(5)]),flip(a)]. 1158685 (x * x) * (L(x,y,z) \ 1) = a(z,y,x) / (1 / x). [hyper(1468,a,4533,a,b,3560,a),rewrite([2052(4),155(2),822200(7),520233(5),2052(10),155(8),284783(11)]),flip(a)]. 1158828 (x \ ((a(y,z,u) * u) \ w)) * x = (x \ ((u * a(y,z,u)) \ w)) * x. [hyper(152,a,6554,a(flip),b,4540,a),rewrite([6569(3),4540(7)])]. 1158832 x \ ((a(y,z,u) * u) \ w) = x \ ((u * a(y,z,u)) \ w). [hyper(1466,a,6554,a,b,4540,a(flip)),rewrite([6554(7),4540(7),1158828(5),23(6)]),flip(a)]. 1159002 L(x,(y * y) * z,L(z,u,u)) = L(x,(y * y) * z,z). [hyper(152,a,9343,a(flip),b,4564,a),rewrite([3158(5)]),flip(a)]. 1159097 (1 / (a(x,y,z) / u)) \ a(x,y,z) = (a(x,y,z) * a(x,y,z)) / u. [para(5425(a,2),4569(a,2,2)),rewrite([754953(5),5262(6),13307(9),13312(10),8565(12),115210(12)])]. 1159122 a(x,y,a(z,u \ a(x,y,z),w)) = a(x,y,a(w,u \ 1,z)). [para(4569(a,2),5001(a,1,2,2,1)),rewrite([4569(8),1009475(10),244299(11),10179(6),841971(6),8982(4),13597(6),20(6),818(8),8982(8)]),flip(a)]. 1159129 a(x,y,z) \ ((a(x,y,z) * a(x,y,z)) / u) = a(x,y,z) * (1 / u). [para(11372(a,2),4569(a,1,2)),rewrite([303(7),299(7),1079428(7),10460(8),5262(7),1159097(7),391(13)])]. 1159350 T(((x * (y \ 1)) \ x) \ 1,K(y,z)) = ((x * (y \ 1)) \ x) \ 1. [para(1100(a,1),4610(a,1,1,1,2)),flip(a)]. 1166416 x * ((1 / x) * (y * L(x,z,u))) = L(y,x,x) * L(x,z,u). [para(5158(a,2),4772(a,1,1,2)),rewrite([9130(5),5544(6),5544(5),8553(7),504604(6),4274(6),412375(6),3277(6),11219(7),814070(6),754475(9),524963(8),24(6),20(5),754475(11),1058255(10),78454(9)]),flip(a)]. 1167765 (x * ((y * z) * y)) / T(y,z) = (x * ((z * y) * y)) / y. [para(3029(a,1),4793(a,2,1,2)),rewrite([58525(8),6190(6)]),flip(a)]. 1168045 x * (y * L(x,x * y,x)) = (x * ((y * x) * x)) / x. [back_rewrite(685556),rewrite([1167765(5)]),flip(a)]. 1168050 L((1 / x) \ y,x,x) * x = (x * ((y * x) * x)) / x. [back_rewrite(560634),rewrite([1168045(9)])]. 1168052 L(((x \ 1) \ y) * x,x \ 1,x) = (x * ((y * x) * x)) / x. [back_rewrite(560693),rewrite([1168050(12)])]. 1170764 L(R(x \ 1,y,z) \ u,x \ 1,x) = (a(x,y,z) \ x) * u. [hyper(1468,a,5134,a,b,3999,a),rewrite([741(7),5133(15),5133(11),5133(7),843152(4)]),flip(a)]. 1170809 R(x,y,z) \ ((R(x,y,z) \ 1) \ u) = x \ ((x \ 1) \ u). [hyper(1465,a,3468,a,b,5134,a(flip)),rewrite([7977(12),391(9),1148516(10),3468(9),2191(8),9613(7),863(5),7977(12),391(9)]),flip(a)]. 1170954 R(x,y,y \ (R(y \ 1,z,u) \ w)) = R(x,y,y * (R(y,z,u) \ w)). [para(5134(a,2),9009(a,1,3)),rewrite([741(7),5133(15),5133(11),5133(7)]),flip(a)]. 1170968 L(x,y,((a(z,u,w) \ z) * v5) * v6) = L(x,y,(v5 * L(z,u,w)) * v6). [para(5134(a,1),66750(a,1,3,1,2)),rewrite([247(7),796842(9),843152(4),927(18),883(15),12710(12),289137(11),10519(9)])]. 1171411 K(x,y) * (((T(x,y) \ z) / u) * x) = ((x \ z) / u) * x. [para(7792(a,2),12702(a,1,2)),rewrite([5900(4),2553(4),927(8),436510(7),7792(7),3485(7),10630(6),391098(5),502(4)]),flip(a)]. 1171744 (x / (y / z)) * ((y / z) / u) = (x / (z \ y)) * ((z \ y) / u). [para(11181(a,2),7792(a,1,2,2,2)),rewrite([6051(8),6503(8),2008(5),11971(6),10356(12)]),flip(a)]. 1173518 (x \ ((x * y) * z)) \ a(x,y,z) = (y * z) \ 1. [para(9589(a,1),11013(a,2,2,1)),rewrite([973384(10),303(5),18(8)])]. 1174118 L(x,y,z) \ T(x * (u * (x \ 1)),w) = T(u,w) * (L(x,y,z) \ 1). [hyper(1466,a,6112,a(flip),b,2832,a),rewrite([708130(7),1132607(13),22(14)])]. 1175591 (1 / x) \ ((x \ 1) / y) = x \ ((1 / (1 / x)) / y). [para(1473(a,1),5651(a,2,2,1)),rewrite([3025(8),863(7)])]. 1176925 R(x,y,z) \ (u / (R(x,y,z) \ 1)) = x \ (u / (x \ 1)). [hyper(1465,a,707,a,b,8246,a(flip)),rewrite([67035(11),373(9),5293(9),5207(8),10733(8),10620(6)]),flip(a)]. 1178595 L(x,y * (z \ R(T(u,w),v5,v6)),v7) = L(x,y * (z \ R(u,v5,v6)),v7). [para(11637(a,1),874(a,1,2,2))]. 1178596 L(x,y * (z \ R(u,w,v5)),v6) = L(x,y * (z \ L(u,w,v5)),v6). [para(11637(a,1),877(a,1,2,2)),rewrite([2534(4),302(4),1178595(5),64978(9),9105(9),99745(9)])]. 1180338 L(x,y,z * (L(u,w,w) * w)) = L(x,y,(w \ u) * z). [para(5712(a,1),7118(a,1,3,2)),rewrite([558811(9),2568(10),814157(10),11657(8)])]. 1180388 L(x,y,z * (((u * w) * u) * v5)) = L(x,y,(L(w,u,u) * v5) * z). [para(111353(a,1),7118(a,1,3,2,2)),rewrite([284558(7),2463(3),379(1),619236(5),756(9),470(8),619267(12)]),flip(a)]. 1181258 ((x * (y / x)) \ z) * K(x,y) = (T(y,x) \ z) * K(x \ y,x). [para(4884(a,2),12339(a,1,2,2)),rewrite([4884(7),2408(7),16901(6),614(6),4277(10),3612(9),5782(8),244(7),203(8),1022123(11)]),flip(a)]. 1182190 a(x \ y,z,L(z \ y,y,y)) = a(y * x,z,z \ y). [para(39463(a,2),6704(a,1,2,1,1)),rewrite([39463(8),544056(10),13525(9),5785(6),845(6),1031137(5),21(8),845(8)])]. 1184784 (1 / x) \ (y * a(z,u,x)) = ((1 / x) \ y) * a(z,u,x). [para(6578(a,1),6728(a,1,2,2,2)),rewrite([5278(8),664722(7),916215(5)]),flip(a)]. 1185910 (((x * y) \ x) * y) \ ((y \ (((x * y) \ x) \ 1)) \ z) = z. [hyper(6259,a,12136,a,b,4946,a(flip)),rewrite([7954(7),528729(7),9662(5),13376(5),8891(2),9228(2),383(2),378(2),7954(7),528729(7),9662(5),13376(5),8891(2),9228(2),383(2),12136(6),11087(6),12136(11),373(12)]),flip(a)]. 1185962 (x \ (((y * x) \ y) \ 1)) \ z = z * (((y * x) \ y) * x). [hyper(1467,a,3475,a,b,12136,a),rewrite([12136(8),11087(8),1185910(10),379(1),12136(9),11087(9)]),flip(a)]. 1191967 L(x,y,a(z,u,((w \ 1) \ v5) \ v6)) = L(x,y,a((w \ v5) \ v6,u,z)). [para(4865(a,1),8153(a,1,3)),flip(a)]. 1192376 a(L(x,x,y * x) \ z,u,w) = a(L(x,x,y) \ z,u,w). [para(10037(a,2),4853(a,1,1,1,1)),rewrite([10037(5),670220(4),762078(6),312857(7),7930(9),5058(9)])]. 1192850 L(x,y \ ((y * z) \ y),u) = L(x,y \ (y \ (z \ y)),u). [para(14782(a,1),6401(a,1,2,1)),rewrite([4175(7),8303(3),19(2),558626(5),642719(12),20(6),20(7),436525(8)])]. 1192967 L(x,L(y,z,z) \ (z \ 1),u) = L(x,z \ (z \ (y \ z)),u). [back_rewrite(558626),rewrite([1192850(9)])]. 1193327 L(x,L(y,y,z * y),u) = L(x,L(y,y,z),u). [para(6904(a,1),11356(a,2,2)),rewrite([11277(9),11356(7),99869(7),20(9),5135(8),843581(8),8380(8),312908(8),9238(5),4179(5)])]. 1193819 L(x,y,z * (u \ ((w \ 1) \ v5))) = L(x,y,(u \ (w \ v5)) * z). [para(5809(a,1),4846(a,1,3)),rewrite([4842(15),4846(12),1023948(13),6703(12),927(12),1504(10)])]. 1193876 L(x,x,(y \ (x \ y)) * z) = L(x,x,z * x). [back_rewrite(1119408),rewrite([1193819(6)])]. 1194298 (x * ((1 / x) * y)) / y = y \ (x * ((1 / x) * y)). [para(492(a,1),9885(a,1,1,1)),rewrite([492(9)])]. 1195698 L(((x * y) \ x) * y,x \ ((y \ 1) \ x),z) = ((x * y) \ x) * y. [para(7599(a,1),3515(a,1,1)),rewrite([10514(8),1080179(8),1100264(15)])]. 1195726 (x * (((y * (x \ z)) \ y) \ 1)) \ z = ((y * (x \ z)) \ y) * (x \ z). [para(7599(a,1),3869(a,1,1)),rewrite([10514(11),1080179(11),1195698(11)]),flip(a)]. 1195832 x \ (x \ (1 / (y \ (y / x)))) = ((y * (x \ 1)) \ y) \ 1. [para(7599(a,1),12454(a,1,2,2)),rewrite([671290(20),7350(17),374(14),376(15),20(8),1195726(15),671290(13),11225(11)]),flip(a)]. 1196630 a(x,y,a(z,z,u * (z * w))) = a(x,y,a(z,z,w * u)). [para(7672(a,1),5079(a,1,3,3)),rewrite([10838(9),6123(7),8870(6),851(6),8520(5),8599(5),6123(10),8870(9),10957(9),851(10),8520(9),990422(9)])]. 1198292 a(x,y,z * (u * (a(w,v5,v6) * R(w,v5,v6)))) = a(x,y,(w * u) * z). [para(5217(a,1),806(a,2,3,2,2)),rewrite([13111(6),8580(7),9235(6)]),flip(a)]. 1199437 a(x,x,(L(x,y,z) \ u) * w) = a(x,x,u * (x \ w)). [para(5128(a,1),5223(a,1,3,1)),rewrite([5817(5),13265(5),8520(5),8599(5),10705(3),5005(12),5817(12),13265(12),8520(12),8599(12),1030147(10),10705(9),29(7),810(8),7293(7)]),flip(a)]. 1199731 a(x,x,x * (y * (x \ z))) = a(x,x,y * z). [para(2603(a,1),5224(a,1,3,2)),rewrite([82368(6),5817(4),2690(4),13265(3),8789(3),873(9),410930(8),625811(9),5817(8),2690(8),13265(7),8789(7)]),flip(a)]. 1200849 T(x * a(y,z,u),w) * (T(x,w) \ v5) = (v5 / x) * (x * a(y,z,u)). [para(5264(a,1),5931(a,2,1)),rewrite([6387(5),1857(4),13307(3),8303(2),8864(4)]),flip(a)]. 1201118 T(a(x,y,z) \ ((u * w) / u),w * u) = a(x,y,z) \ L(w,u,w). [para(4231(a,1),5266(a,1,2)),flip(a)]. 1202740 T(x,y) * (((z \ u) / u) * z) = T(x * (((z \ u) / u) * z),y). [hyper(1468,a,5463,a,b,7214,a),rewrite([680736(9),5463(6)])]. 1202741 ((x \ y) / y) * (x * T(x \ (((x \ y) / y) \ z),u)) = T(z,u). [hyper(1468,a,5463,a,b,4598,a),rewrite([1000020(4),5463(10),1202740(9),458897(8),261(10)]),flip(a)]. 1202761 ((T(x,y) \ z) / z) * T(x,y) = ((x \ z) / z) * x. [hyper(507,a,88033,a,b,5463,a),rewrite([951779(10),3618(10),1171411(10),53666(11),749(11),135803(13),597851(14),5463(10),334522(10)]),flip(a)]. 1202801 (((x \ y) / y) * x) \ T(z,u) = T((((x \ y) / y) * x) \ z,u). [hyper(1832,a,5463,a(flip),b,4598,a),rewrite([5463(5),5463(8),261(9),1202741(9),1000020(5),5463(10),1000020(9)])]. 1202936 ((x \ y) / y) * (x * K(z,x)) = ((T(x,z) \ y) / y) * x. [para(5463(a,2),10655(a,2,2)),rewrite([6114(5),374(3),1787(6),19(4),379(3),5463(11),961680(10)])]. 1202943 K(x,y) * ((((x \ z) / z) * x) \ u) = (((T(x,y) \ z) / z) * x) \ u. [para(5463(a,2),894(a,1,2,1)),rewrite([5463(8),1202761(6)])]. 1203544 a(L(x,x,y * x) * z,u,w) = a(L(x,x,y) * z,u,w). [para(5525(a,1),7949(a,1,1,2)),rewrite([1193327(6),8192(5),1192376(5),883859(4)]),flip(a)]. 1207942 L(x,y,((z * u) \ u) \ w) = L(x,y,(u \ (z \ u)) \ w). [para(6375(a,1),6051(a,1,3,1)),rewrite([6051(4),10800(4),10650(9)]),flip(a)]. 1207967 L(x,y,L((z * z) \ u,w,v5) \ v6) = L(x,y,L(u,w,v5) \ v6). [para(5159(a,1),6051(a,2,3,1)),rewrite([6785(3),4842(5),1023948(5),69660(9),55731(10),4842(8)])]. 1207993 L(x,y,(((z \ 1) * u) \ w) \ v5) = L(x,y,((z * u) \ w) \ v5). [para(5510(a,1),6051(a,2,3,1)),rewrite([5512(6),313802(7),9787(8),7688(6),6051(4)]),flip(a)]. 1208009 L(x,y,L((z * u) \ u,w,z) \ v5) = L(x,y,(u \ (z \ u)) \ v5). [back_rewrite(1104230),rewrite([1207942(9)])]. 1208019 L(x,y,L(z,u \ 1,u) \ w) = L(x,y,L(z,u,u) \ w). [back_rewrite(640534),rewrite([1207967(5)]),flip(a)]. 1208030 L(x,y,(z * L(u,z,z)) \ w) = L(x,y,(z \ u) \ w). [back_rewrite(640377),rewrite([1208019(6),814162(4)]),flip(a)]. 1209356 (x * L(T(x,y) \ 1,z,u)) \ w = K(x,y) * (w * a(u,z,x \ 1)). [para(14423(a,2),6167(a,1,1)),rewrite([204(4),213(8),2197(8),2197(6),855226(7),928(6)]),flip(a)]. 1210388 T(x * ((R(x,y,z) \ 1) \ u),x) = (R(x,y,z) \ 1) \ (u * x). [hyper(4954,a,6234,a,b,5511,a(flip)),rewrite([21(8),12603(7)])]. 1215100 R(x,y,z \ ((z * u) \ z)) = R(x,y,z \ (z \ (u \ z))). [para(40226(a,1),6413(a,1,3,1)),rewrite([664271(7),6413(4),436411(4),1140147(11),1575(7),69401(9),10922(10)]),flip(a)]. 1215129 R(x,y,(z \ L(u,w,w)) \ 1) = R(x,y,(z \ u) \ a(w,w,u)). [para(9216(a,1),6413(a,1,3,1)),rewrite([9291(10)]),flip(a)]. 1215198 R(x,y,L(z,u,u) \ (u \ 1)) = R(x,y,u \ (u \ (z \ u))). [back_rewrite(558625),rewrite([1215100(9)])]. 1215600 L(x,y,z * (((u \ 1) * w) * v5)) = L(x,y,z * ((u * w) * v5)). [para(4447(a,1),6436(a,1,3,1,1)),rewrite([6296(8),6436(6)]),flip(a)]. 1215880 L(x,y,(z * L(u,z,z)) * w) = L(x,y,(z \ u) * w). [para(5712(a,2),6438(a,2,3,2)),rewrite([5712(9),1180338(8)])]. 1215882 L(x,y,(((z * u) * w) * u) * v5) = L(x,y,(u * ((u * z) * w)) * v5). [para(2487(a,1),6438(a,1,3,1)),rewrite([10676(11)]),flip(a)]. 1216383 a(x,y,z) * (u * a(w,v5,a(x,y,z))) = u * a(x,y,L(z,v5,w)). [hyper(2147,a,6547,a),rewrite([753945(10)])]. 1216695 (((1 / x) \ y) * a(z,u,x)) \ (y * a(z,u,x)) = T(1 / x,y * x). [para(6547(a,1),6741(a,1,2)),rewrite([5284(6),1184784(9)]),flip(a)]. 1216748 (x \ 1) * (y * a(z,z,y)) = (x \ a(z,z,y)) * y. [para(9305(a,1),6547(a,1,1)),rewrite([9303(8)]),flip(a)]. 1217495 L(x,y,z) \ L(x,y,L(z,u,w)) = a(z,y,a(x,u,w)). [hyper(1465,a,6563,a(flip),b,5002,a(flip)),rewrite([9236(2),8982(4),13364(5),13273(6),9419(4),8982(6)])]. 1217516 a(x,y,a(z,u,w)) * R(w,u,z) = R(w,u,L(z,y,x)). [para(9235(a,1),6563(a,1,2)),rewrite([13597(4),13597(8),9090(8),1133434(8)])]. 1217822 (x \ y) * (a(z,u,x) * a(z,u,x)) = L(L(x,u,z),u,z) \ y. [hyper(152,a,5515,a,b,6566,a),rewrite([9236(5),8199(5),13527(3),8201(7),6566(6),12974(8)]),flip(a)]. 1217927 ((L(x * x,y,z) \ u) * w) \ v5 = (u * w) \ (L(x * x,y,z) * v5). [para(6566(a,1),5643(a,1,1,1)),rewrite([250150(5),42096(9),42092(12),6563(11),196089(11)])]. 1218338 x \ (y \ (a(x,y,y) \ z)) = R(x,y,y) \ (y \ z). [hyper(1465,a,6569,a(flip),b,12740,a)]. 1218850 R(T(1 / x,y),x,z * a(u,w,x)) = T(a(x,x,z) / x,y). [para(6570(a,2),5891(a,1,1,2)),rewrite([6570(5),394546(6)]),flip(a)]. 1218928 a(x,y,z) * (u * a(z,y,a(x,w,v5))) = u * a(x,y,L(z,w,v5)). [para(8716(a,1),6570(a,2,2,2)),rewrite([6570(5),1216383(5)]),flip(a)]. 1218946 a(x,y,a(z,z,u)) * (L(u,z,z) \ w) = L(u,z,L(z,y,x)) \ w. [para(9474(a,1),6570(a,1,2)),rewrite([1134705(10),846247(10),8937(8)])]. 1218963 (x * (y * a(z,u,x))) \ (y * a(z,u,x)) = (x * y) \ y. [para(6570(a,2),7943(a,2,1)),rewrite([1184784(5),1216695(8),1218850(7),938247(4),6570(5)]),flip(a)]. 1219197 a(x,y,z) \ (u * a(w,v5,a(z,y,x))) = a(x,y,L(z,v5,w)) \ u. [para(8080(a,1),6576(a,1,2,2)),rewrite([13282(10)])]. 1219329 ((x * y) * a(z,u,y)) \ T(x * a(z,u,y),y) = (y * x) \ x. [para(6581(a,2),3036(a,2,1)),rewrite([6547(3),6581(10),1218963(13)])]. 1219500 K(x \ y,y \ x) / (z \ (1 / (1 / (x / y)))) = 1 / (z \ (x / y)). [hyper(1465,a,6651,a,b,39912,a),rewrite([717682(14),492(6),492(8),717682(6),6651(7),70338(8),2143(7),589519(5),2143(16)]),flip(a)]. 1219529 L(x * (1 / (y \ x)),(y \ x) * (x \ y),z) = x * (1 / (y \ x)). [hyper(507,a,247032,a,b,6651,a),rewrite([818(11),1122444(11),850(9),3266(9),245524(7),12749(7),878(8),6909(8),6651(12)])]. 1219535 (x / y) * (1 / (z \ (x / y))) = (y \ x) * (1 / (z \ (y \ x))). [hyper(507,a,39912,a,b,6651,a),rewrite([2143(13),1219500(11),717682(19),492(11),492(13),717682(11),6651(12)])]. 1219648 (x \ y) * (1 / (y \ (x \ y))) = (y * (x \ 1)) * x. [para(492(a,1),6651(a,1,1,1)),rewrite([11734(4),1219535(10)]),flip(a)]. 1220171 (x * ((y \ z) * (z \ y))) \ (x * z) = y * (1 / (z \ y)). [para(6651(a,1),236777(a,2,1)),rewrite([5782(8),32890(7),683(10),507199(10),749(10),1742(10),749(10),1742(10),17014(9),378(8),1219529(14)])]. 1220247 a(x,y,a(z,(z \ u) * u,w)) = a(z,z,a(w,y,x)). [para(13254(a,1),6692(a,1,3)),rewrite([1123480(6),174578(9),22(6),1123483(8)])]. 1225787 (x / (((x / y) \ 1) * y)) \ z = ((x / y) \ 1) * ((x / y) \ z). [para(4325(a,2),183352(a,1,2,1)),rewrite([391(6),11377(8),612231(5),391(14)])]. 1225899 ((x / y) \ 1) / (y \ x) = ((y \ x) \ 1) / (x / y). [back_rewrite(1015479),rewrite([1225787(8),4717(7),568674(7)])]. 1225912 ((x / y) \ 1) * ((y \ x) \ z) = ((y \ x) \ 1) * ((x / y) \ z). [back_rewrite(723254),rewrite([1225899(5),723253(6)]),flip(a)]. 1227195 K(x,y) * ((z * z) * (T(y,x) \ u)) = (z * z) * (T(T(y,x),x) \ u). [para(614(a,1),134137(a,1,1))]. 1235051 T(x,T(y \ (z / (y * u)),z)) = T(x,y \ (u \ (z / y))). [para(100093(a,2),1092(a,1,2)),rewrite([5553(7),5328(6),680701(6),5905(5),861739(5),777907(11),5553(10)])]. 1239346 T(x,y * z) \ (y / x) = x \ (y / T(x,z * y)). [para(100307(a,1),254(a,1,2)),rewrite([2917(4),6238(7),3026(6),169223(6)])]. 1245808 (a(x,x,y) * z) \ R(x,x,y) = z \ x. [para(79476(a,1),11585(a,1,2)),rewrite([300(4),1067841(7),299(5),391(6),1094824(6),9235(5)]),flip(a)]. 1247253 T(x,y) \ ((1 / z) \ T(x,z)) = R(K(y,x) * z,z,x). [hyper(1465,a,79597,a,b,2189,a),rewrite([769(9)])]. 1249132 L(x,(y * y) * z,z) = L(x,y * (z * y),z). [para(4470(a,2),4817(a,2,3)),rewrite([492(4),6051(7),4679(7),29(4),927(4),6298(10),903(9),1093061(9),1159002(7)]),flip(a)]. 1249287 (1 / ((x * x) * y)) * ((x * x) * (y * z)) = L(z,x * (y * x),y). [back_rewrite(25209),rewrite([1249132(11)])]. 1249488 L(x,y,(R(z,u,w) \ v5) * v6) = L(x,y,(L(z,u,w) \ v5) * v6). [para(5624(a,1),4842(a,1,3)),rewrite([5787(5),2535(9),4175(9),5624(11),5787(9)])]. 1250974 R(x,y,L(L(T(z,u),w,v5),v6,v7)) = R(x,y,L(L(z,v6,v7),w,v5)). [para(4893(a,1),3024(a,1,3,1)),rewrite([2866(8),31(2)])]. 1251626 (x * x) * ((L(x,y,z) \ 1) * u) = (a(z,y,x) / (1 / x)) * u. [para(4901(a,1),5835(a,1,2,1)),rewrite([375614(14),520233(11)])]. 1252759 a(x,x,(a(x,y,z) * u) * w) = a(x,x,u * w). [para(4980(a,1),5221(a,1,3)),rewrite([787(6),8982(9),5227(11),787(8)])]. 1252792 a(x,x,(a(y,z,x) \ u) * w) = a(x,x,u * w). [back_rewrite(1103482),rewrite([1252759(8)])]. 1252805 R(x,y,(z * R(u,w,v5)) * v6) = R(x,y,(z * L(u,w,v5)) * v6). [hyper(1468,a,4981,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 1252863 R(x,y,z \ (u * R(w,v5,v6))) = R(x,y,z \ (u * L(w,v5,v6))). [hyper(1468,a,4982,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 1252904 a(x,y,z \ (u \ R(w,v5,v6))) = a(x,y,z \ (u \ L(w,v5,v6))). [para(4566(a,2),4982(a,1,3,2)),rewrite([4179(3),3569(3),778(5),284855(5),3948(12),7290(8),13084(12),2442(10),7774(10)])]. 1252919 a(x,y,z \ (u \ L(w,u,u))) = a(x,y,z \ ((u \ 1) * w)). [back_rewrite(981442),rewrite([1252904(4)])]. 1253011 R(x,y,z * (u \ R(w,v5,v6))) = R(x,y,z * (u \ L(w,v5,v6))). [hyper(1468,a,4985,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 1253037 a(x,y,(z \ L(u,w,v5)) * ((z \ R(u,w,v5)) \ v6)) = a(x,y,v6). [para(2917(a,1),4985(a,1,3)),rewrite([5543(3),775(4),785(9),96015(9)]),flip(a)]. 1253043 a(x,y,z * (u \ (a(w,v5,u) \ 1))) = a(x,y,z * L(u \ 1,v5,w)). [para(11834(a,2),4985(a,2,3,2)),rewrite([5159(3),3262(2),2523(5),95877(5),908(11),6569(9)]),flip(a)]. 1253065 a(x,y,z * (u * (w * R(v5,v6,v7)))) = a(x,y,z * (u * (w * L(v5,v6,v7)))). [para(502(a,1),4987(a,1,3,2,2)),rewrite([12603(8),275(8)])]. 1253079 a(x,y,z * (a(u,w,v5) \ v6)) = a(x,y,z * (v6 * a(v5,w,u))). [para(54870(a,1),4987(a,1,3,2,2)),rewrite([5402(8),9315(7)]),flip(a)]. 1253084 a(x,y,z * (u * (a(w,v5,v6) * L(w,v5,v6)))) = a(x,y,(w * u) * z). [back_rewrite(1198292),rewrite([1253065(6)])]. 1253283 (x \ (y * z)) * ((x \ y) * z) = ((x \ y) * z) * (x \ (y * z)). [para(4995(a,1),173123(a,2,2,2)),rewrite([5330(11),379(11),1040036(9),13466(7),9547(7),300(12)]),flip(a)]. 1253343 a(((x \ y) * z) * (x \ (y * z)),u,w) = a(w,u,a(z,x \ y,x)). [para(4995(a,1),9833(a,1,1)),rewrite([8982(8),13252(7),769216(7),1253283(8)]),flip(a)]. 1253570 ((x \ y) \ y) * a(z,x,x \ y) = L(x \ y,x,z) \ y. [hyper(1468,a,4997,a,b,10291,a),rewrite([4997(7),394821(5),539372(5),761081(5)]),flip(a)]. 1253584 L(x \ y,x,z) \ (y / x) = x \ (L(x \ y,x,z) \ y). [hyper(507,a,10291,a,b,4997,a),rewrite([1253570(5),4997(11),394821(9)]),flip(a)]. 1253613 a(x,y,a(z * u,u,z)) = a(x,y,a(z,u,u)). [hyper(1465,a,6569,a,b,4997,a(flip)),rewrite([472737(9),680(9),8871(6),10957(6),9165(8),29(6),303(4),8982(5)]),flip(a)]. 1253752 K(x,y) * (a(z,x,y) / (z \ ((z * x) * y))) = 1 / (y * x). [para(4997(a,1),11369(a,1,2,2)),rewrite([1010(7),5297(7),21(2),35732(12),1173518(10),2141(10),3155(8),150737(9),410694(9),859(6),1010(6),18532(7),4997(8),762(10)]),flip(a)]. 1254112 R(x,y,z * (u * R(w,v5,v6))) = R(x,y,z * (u * L(w,v5,v6))). [hyper(1468,a,5005,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 1254636 R(x,y,x) * (z \ (x \ u)) = x * (z \ (L(x,y,x) \ u)). [para(5034(a,1),6859(a,1,2)),flip(a)]. 1255109 a(x,y,a(z,z,u * (w \ v5))) = a(x,y,a(z,z,u * (w * v5))). [hyper(507,a,8342,a(flip),b,5082,a),rewrite([949029(4),8846(9),1097926(9)])]. 1255885 a(x * (y \ L(z \ 1,u,w)),v5,v6) = a((y \ L(z,u,w)) * x,v5,v6). [para(9238(a,1),5099(a,1,1,2,2)),rewrite([4001(6),3266(9),9238(8),4002(10)])]. 1256234 a(x * (L(y,y,x) * z),z,z) = a((y \ x) * z,z,z). [hyper(507,a,12558,a,b,5102,a),rewrite([12558(5),11506(7),524971(7)]),flip(a)]. 1261043 a(x,y,z) \ L(z \ a(x,y,z),u,w) = L(z \ 1,u,L(w,y,x)). [hyper(1465,a,5202,a,b,6563,a(flip)),rewrite([9236(2),9236(3),5381(6),640786(6)]),flip(a)]. 1261053 x * L(x \ 1,y,L(z,u,w)) = L(x * L(x \ 1,y,z),u,w). [hyper(507,a,6563,a(flip),b,5202,a),rewrite([1261043(5),9236(7),9236(8),5381(11)])]. 1261314 (R(x,y,z) \ u) * (x \ u) = (x \ u) * (R(x,y,z) \ u). [hyper(1467,a,5208,a(flip),b,153,a),rewrite([379(5)])]. 1262209 (x / (y * z)) * (a(u,w,v5) * K(y,z)) = (x / (z * y)) * a(u,w,v5). [para(2517(a,1),5239(a,2,1)),rewrite([302(5)])]. 1262216 (x * y) * (a(z,u,w) * a(z,u,w)) = x * (w * (L(L(w,u,z),u,z) \ y)). [para(5631(a,2),5239(a,1,1)),rewrite([8176(3),8176(4),21(2),8564(4),5239(10),12974(10)]),flip(a)]. 1262244 (x * y) * a(z,a(u,u,w),y) = x * L(y,a(u,u,w),z). [para(965456(a,1),5239(a,1,1)),rewrite([761349(3)]),flip(a)]. 1262246 (x * a(y,y,z)) * a(u,u,w) = x * (a(u,u,w) * a(y,y,z)). [para(966011(a,1),5239(a,1,1)),flip(a)]. 1268825 L(x / y,y,y) / x = K(y,y \ x) / y. [hyper(1466,a,3276,a(flip),b,11137,a),rewrite([1105(5),2675(5)]),flip(a)]. 1272003 L(x,y,z * ((u * (1 / w)) \ v5)) = L(x,y,((w * u) \ v5) * z). [para(3277(a,2),10106(a,1,3,2,1)),rewrite([3277(2),978438(6),738981(6)]),flip(a)]. 1272097 L(x,y,((z * (z * u)) \ w) * v5) = L(x,y,v5 * (L(u,z,z) \ w)). [para(7332(a,1),10106(a,1,3,2,1)),rewrite([11569(8),1272003(7),14620(10),284791(10)])]. 1273473 (x \ 1) \ (((y * (x \ 1)) \ y) \ 1) = x \ (1 / (y \ (y / x))). [hyper(507,a,133934,a,b,11087,a),rewrite([558632(9),9772(10),749(10),1159350(10),1100386(16),11225(14)])]. 1273609 (((x * y) \ x) \ 1) * (y \ 1) = y \ (((x * y) \ x) \ 1). [para(11087(a,2),9934(a,1,2,2)),rewrite([11087(11),10258(12),21(8),372(7),20(9),378(8),10514(14),1080179(14),8541(14),882(14),3277(10),20(11),1100359(14),11087(12)])]. 1277038 (R(x,y,z) \ u) * R(R(x,w,x),y,z) = (x \ u) * R(x,w,x). [hyper(507,a,6234,a,b,11262,a),rewrite([1254636(6),629864(5),22(4),11262(8)])]. 1277077 (L(R(x,x,y),z,x) \ u) * x = (R(x,x,y) \ u) * R(x,z,x). [hyper(6259,a,11262,a(flip),b,8041,a),rewrite([2535(3),10090(3),300(6),7328(10),11974(10),1277038(10),686615(9),4937(7),8533(7)])]. 1277463 L(x,(L(y,y,z) \ u) * y,w) = L(x,a(y,y,z) * u,w). [back_rewrite(950445),rewrite([1277077(4),8632(5),3168(5),1072669(4)])]. 1279308 (x \ (y \ x)) \ ((y \ 1) * z) = (y * (x \ (y \ x))) \ z. [para(11115(a,1),5823(a,1,1,1)),rewrite([11115(9),3264(10),99597(8),4973(6),8061(6)]),flip(a)]. 1279389 (x \ 1) * ((y \ ((x \ 1) \ y)) * z) = (y / (y * x)) * (x * z). [para(11115(a,2),5516(a,1,1)),rewrite([11115(9),11235(7),8538(8),1108746(5)]),flip(a)]. 1280385 x * (L(x,y,z) \ (u * (x \ 1))) = u * (L(x,y,z) \ 1). [hyper(1465,a,12443,a(flip),b,37916,a),rewrite([1099569(6),21(5),2137(4),244(2),7315(6),1104(9),978317(9),22(2),12705(2),1099569(11),4906(10)]),flip(a)]. 1283011 a((x * (y * z)) * ((x * y) * z),u,w) = a(x,y,a(z,u,w)). [para(11914(a,1),4735(a,2,1)),rewrite([11913(7),8982(2)]),flip(a)]. 1283013 a((x * (y * z)) * ((y * x) * z),u,w) = a(x,y,a(z,u,w)). [para(11914(a,1),2479(a,1,1)),rewrite([1283011(6)]),flip(a)]. 1283981 (x * a(y,z,u)) * (x \ y) = (y / x) * (x * a(y,z,u)). [para(9234(a,1),11449(a,2,2,2)),rewrite([364434(5),2188(6),5265(5),502(6)])]. 1289319 L(x,y,z) \ (u * a(w,v5,x)) = a(w,v5,x) * (L(x,y,z) \ u). [para(6537(a,1),11937(a,1,1)),rewrite([300(7),298(10),657523(9)])]. 1290699 ((1 / x) \ (y / x)) * R(T(1 / x,y),z,z) = a(x,z,z) * (y / x). [para(6731(a,1),9331(a,1,1)),rewrite([851(13),850(12),93458(12),20(11)])]. 1291734 (L(L(x,y,z),y,z) \ u) / x = (L(x,y,z) \ u) / L(x,y,z). [hyper(507,a,10891,a,b,6884,a),rewrite([10891(6),8573(9)]),flip(a)]. 1292239 a(x,y \ 1,a(z,u,w)) = a(x,y,a(z,u,w)). [hyper(1832,a,6919,a(flip),b,9236,a),rewrite([13508(3),8982(2),8982(6)]),flip(a)]. 1292253 L(x,y,a(z,u \ z,w)) = L(x,y,a(z,z \ u,w)). [para(5970(a,2),6919(a,2,3)),rewrite([847780(4),5970(8)])]. 1292266 L(x,y,a(z,(u * u) \ w,v5)) = L(x,y,a(z,w \ (u * u),v5)). [para(5728(a,1),6919(a,1,3,2)),rewrite([20(3)]),flip(a)]. 1292311 a(x,y,a(z,u \ 1,w)) = a(w,u,a(x,y,z)). [back_rewrite(772140),rewrite([1292239(4)]),flip(a)]. 1292570 a(x,y,a(z,u \ a(x,y,z),w)) = a(z,u,a(x,y,w)). [back_rewrite(1159122),rewrite([1292311(8)])]. 1292888 a(x,(y * (z * (y \ 1))) \ u,w) = a(x,L(z,y,y) \ u,w). [para(3984(a,1),6995(a,1,2,1)),rewrite([10571(5),11678(5),6474(9)]),flip(a)]. 1292919 a(x,(L(y,z,z) * z) \ u,w) = a(x,L(y * z,z,z) \ u,w). [para(5712(a,1),6995(a,1,2,1)),rewrite([622107(11),814004(11)])]. 1292920 a(x,(y * L(z,y,y)) \ u,w) = a(x,L(z * y,y,y) \ u,w). [para(5712(a,2),6995(a,1,2,1)),rewrite([5712(5),1292919(4)]),flip(a)]. 1292967 a(x,L(y * z,z,z) \ u,w) = a(x,L(z * y,z,z) \ u,w). [para(10261(a,1),6995(a,1,2,1)),rewrite([1292888(7),1496(9),11951(10),8303(7),19(6),1292920(8)]),flip(a)]. 1293943 L(x,y,((z \ T(u,w)) * v5) * v6) = L(x,y,((z \ u) * v5) * v6). [para(7064(a,1),6296(a,2,3,1)),rewrite([923(6),20(5),286092(7)])]. 1295656 a(x,y \ x,a(z,z,u)) = a(x,x * y,a(z,z,u)). [hyper(507,a,9479,a,b,7113,a),rewrite([1292239(5),7113(7),9195(6)])]. 1295659 a(x,y,a(z,u,x * y)) = a(z,u,a(y,y,x)). [hyper(152,a,8810,a,b,7113,a)]. 1295805 L(x,(y \ 1) * z,a(u,w,v5)) = L(x,y * z,a(u,w,v5)). [para(5644(a,2),7114(a,1,2)),rewrite([20(4),884007(5),6909(8)]),flip(a)]. 1296177 R(x,y,L((z * u) * (z \ 1),w,v5)) = R(x,y,L(L(u,w,v5),z,z)). [para(12259(a,1),7123(a,1,3,1)),rewrite([685729(6),8303(4),19(3),1250974(4),7123(10)]),flip(a)]. 1297894 R(x,y,z * (R(z,u,w) \ v5)) = R(x,y,z * (L(z,u,w) \ v5)). [para(7245(a,1),1859(a,1,3)),rewrite([12258(8),708741(8)])]. 1297983 R(x,y,y \ (R(y \ 1,z,u) \ w)) = R(x,y,y * (L(y,z,u) \ w)). [back_rewrite(1170954),rewrite([1297894(10)])]. 1298357 L(x,y * (z \ (T(u,w) \ v5)),v6) = L(x,y * (z \ (u \ v5)),v6). [para(7261(a,1),874(a,1,2,2)),rewrite([11160(5),11160(9)])]. 1298358 L(x,(y \ (T(z,u) \ w)) * v5,v6) = L(x,v5 * (y \ (z \ w)),v6). [para(7261(a,1),877(a,1,2,2)),rewrite([921(4),302(4),11160(5),1298357(5),672109(9),7297(9)]),flip(a)]. 1298941 L(x,((y * y) \ z) * u,w) = L(x,z * ((y * y) \ u),w). [para(5876(a,1),7301(a,2,2)),rewrite([5876(5),37501(5),5876(4),1138348(6),12624(6)]),flip(a)]. 1298946 L(x,y \ ((T(z,u) \ w) * v5),v6) = L(x,y \ ((z \ w) * v5),v6). [para(897(a,1),7301(a,1,2,2))]. 1298966 L(x,y \ (((z / u) * w) * v5),v6) = L(x,y \ (((u \ z) * w) * v5),v6). [para(2587(a,1),7301(a,1,2,2))]. 1299070 (x * y) * L(z,u \ (y * x),u) = u * ((u \ (x * y)) * z). [hyper(1468,a,7305,a,b,69382,a),rewrite([39366(9)])]. 1299204 L(x,y \ ((z * u) * (1 / z)),w) = L(x,y \ L(u,z,z),w). [para(14620(a,1),7305(a,1,2,2)),flip(a)]. 1299236 L(x,y \ ((z * T(u,w)) * v5),v6) = L(x,y \ (v5 * (z * u)),v6). [para(757(a,1),7305(a,1,2,2)),rewrite([928(9),7301(11)])]. 1299344 L(x,y \ (((z \ u) * w) * z),v5) = L(x,y \ (z * ((u / z) * w)),v5). [para(7363(a,1),7305(a,1,2,2)),rewrite([699126(10),6503(12),1298966(10)]),flip(a)]. 1299403 L(x,y \ (z * ((1 / z) * u)),w) = L(x,y \ L(u,z,z),w). [para(11219(a,1),7305(a,1,2,2)),rewrite([1298966(6),1299344(6),7682(13),1299204(12)])]. 1299872 R(x,y,(z * (u / (z * u))) \ w) = R(x,y,a(u,z,z) * w). [para(5069(a,1),7326(a,1,3,1)),rewrite([841745(3)]),flip(a)]. 1299883 R(x,y,((z * T(u,w)) \ v5) \ v6) = R(x,y,((z * u) \ v5) \ v6). [para(896(a,1),7326(a,1,3,1)),rewrite([774(10),1839(11)])]. 1299942 R(x,y,((z \ (u \ z)) * u) \ w) = R(x,y,a(u,u \ 1,z) \ w). [para(5313(a,1),7326(a,1,3,1)),rewrite([978444(10)]),flip(a)]. 1299988 R(x,y,((z * u) * w) \ v5) = R(x,y,(w * (u * z)) \ v5). [para(11290(a,1),7326(a,1,3,1)),rewrite([749(4),423451(5),1839(6),763(8),3485(7),174(6),502(6)])]. 1300019 R(x,y,(((z * u) \ z) * u) \ w) = R(x,y,a(z,u,u \ 1) * w). [para(2962(a,2),7326(a,1,3,1)),rewrite([2962(4),10338(4)]),flip(a)]. 1300061 R(x,y,(z * (u \ (z \ u))) \ w) = R(x,y,a(z,z \ 1,u) \ w). [para(10054(a,2),7326(a,1,3,1)),rewrite([10054(6),1299942(10)])]. 1300094 R(x,y,(z * (u \ (u / z))) \ w) = R(x,y,a(u,z \ 1,z) * w). [para(11821(a,2),7326(a,1,3)),rewrite([11821(4),949104(9)])]. 1300131 R(x,y,(((z * u) \ w) * u) \ v5) = R(x,y,(u * (w / (u * z))) \ v5). [para(10209(a,1),7326(a,1,3,1)),rewrite([978444(5),288787(11)])]. 1300135 R(x,y,((z \ (u / w)) * w) \ v5) = R(x,y,(w * (z \ (w \ u))) \ v5). [para(6251(a,1),7326(a,1,3,1)),rewrite([288787(12)])]. 1300136 R(x,y,(z * (u \ (w / z))) \ v5) = R(x,y,(z * (u \ (z \ w))) \ v5). [para(6251(a,2),7326(a,1,3,1)),rewrite([6251(5),1300135(5)]),flip(a)]. 1300165 R(x,y,a(z,u,u \ 1) * w) = R(x,y,a(z,u,u) * w). [back_rewrite(1300019),rewrite([1300131(5),1299872(5)]),flip(a)]. 1300167 R(x,y,a(z,z \ 1,u) \ w) = R(x,y,a(u,z \ 1,z) * w). [back_rewrite(1300094),rewrite([1300136(5),1300061(5)])]. 1300170 R(x,y,(z * (u \ (z \ u))) \ w) = R(x,y,a(u,z \ 1,z) * w). [back_rewrite(1300061),rewrite([1300167(10)])]. 1304529 L(x,L(y,z \ 1,z) * u,w) = L(x,u * L(y,z,z),w). [para(3866(a,1),7487(a,1,2,1)),rewrite([533652(11)])]. 1304532 L(x,(((y \ z) \ z) * u) * w,v5) = L(x,w * (u * y),v5). [para(5670(a,2),7487(a,2,2,2)),rewrite([99625(10)])]. 1304555 L(x,(y * R(T(z,u),w,v5)) * v6,v7) = L(x,(L(z,w,v5) * y) * v6,v7). [para(7164(a,2),7487(a,2,2,2)),rewrite([7164(9),99748(10),99747(10)])]. 1304556 L(x,y * (z * (T(u,w) \ v5)),v6) = L(x,((u \ v5) * z) * y,v6). [para(897(a,2),7487(a,1,2,1)),rewrite([897(4),152132(5)]),flip(a)]. 1304622 L(x,a(y,y,y \ z) * u,w) = L(x,u * a(y,y \ 1,z),w). [para(5311(a,2),7487(a,1,2,1)),rewrite([5313(7)])]. 1305160 L(x,a(y,y \ 1,z) * u,w) = L(x,a(y,y,y \ z) * u,w). [para(5311(a,2),7488(a,1,2,1)),rewrite([8380(4),5313(7),8380(9)]),flip(a)]. 1305162 L(x,((y \ (z \ y)) * z) \ u,w) = L(x,a(z,z \ 1,y) * u,w). [para(5313(a,1),7488(a,1,2,1)),rewrite([8380(5),10095(10)]),flip(a)]. 1305176 L(x,(y \ (z \ T(u,w))) \ v5,v6) = L(x,(y \ (z \ u)) \ v5,v6). [para(2124(a,1),7488(a,1,2,1)),rewrite([923(10),7301(11)])]. 1305179 L(x,(y * (((z \ u) \ u) \ w)) \ v5,v6) = L(x,((z \ w) * y) \ v5,v6). [para(12146(a,2),7488(a,1,2,1)),rewrite([151853(6)]),flip(a)]. 1305185 L(x,(((y \ z) * u) * y) \ w,v5) = L(x,(y * ((z / y) * u)) \ w,v5). [para(7363(a,1),7488(a,1,2,1)),rewrite([699126(10),5788(12),622105(10)]),flip(a)]. 1305197 L(x,(y * (((z \ u) * z) \ w)) \ v5,v6) = L(x,((u \ w) * y) \ v5,v6). [para(2593(a,2),7488(a,1,2,1)),rewrite([2593(5),622592(6)]),flip(a)]. 1305238 L(x,(y * (z \ (y \ z))) \ u,w) = L(x,a(y,y \ 1,z) * u,w). [para(10054(a,2),7488(a,1,2,1)),rewrite([10054(6),1305162(10)])]. 1305281 L(x,((y * z) * u) \ ((u * z) * y),w) = L(x,a(u,z,y),w). [para(4998(a,1),7488(a,1,2)),rewrite([12624(4)]),flip(a)]. 1305289 L(x,(y \ (T(z,u) \ w)) \ v5,v6) = L(x,(y \ (z \ w)) \ v5,v6). [para(7261(a,1),7488(a,1,2,1)),rewrite([10643(5),923(10),7301(11),10643(9)])]. 1305716 R(x,y,z \ ((T(u,w) \ v5) * v6)) = R(x,y,z \ ((u \ v5) * v6)). [para(897(a,1),7514(a,1,3,2))]. 1305808 a(x,y,L(L(z,u,u),z,u * z)) = a(x,y,L(z,u * z,u)). [para(9344(a,1),7566(a,2,3)),rewrite([298823(5),81725(4),330440(4),11075(7)])]. 1305869 a(x,y,L(z,y * z,y)) = a(x,y,z). [back_rewrite(1125601),rewrite([1305808(5),772777(4)])]. 1307633 (R(T(x,y),z,u) \ w) \ (K(y,x) * v5) = (R(x,z,u) \ w) \ v5. [para(32(a,1),7627(a,1,1,1)),rewrite([12609(5)])]. 1307943 ((x / (x / y)) \ z) \ (K(x,y) * u) = ((T(x,y) / (x / y)) \ z) \ u. [para(6981(a,1),7627(a,1,1,1)),rewrite([5340(7),3007(7),2191(6),861(5),1219(6)])]. 1309294 a(x * (a(y,z,u \ 1) * w),v5,v6) = a(x * (a(y,z,u) * w),v5,v6). [para(7678(a,1),1475(a,1,1,1)),rewrite([562661(8),2463(5),303(2)]),flip(a)]. 1311035 (x * a(y,z,u)) \ ((u \ x) * a(y,z,u)) = x \ (u \ x). [para(7780(a,1),3036(a,2,1)),rewrite([6547(4),1219329(9),22(2)]),flip(a)]. 1311101 T(a(x,x,x \ y) / x,y) = y \ (x \ y). [para(7780(a,1),7943(a,2,1)),rewrite([1184784(6),1216695(10),14926(5),2316(4),1218850(7),1311035(10)])]. 1311103 ((x \ 1) \ y) * ((x * y) \ z) = z * (x * (y / (x * y))). [para(9596(a,1),7780(a,2,2)),rewrite([949667(9),21(4)])]. 1312519 ((x / (x * y)) \ 1) * x = x * ((x / (y * x)) \ 1). [hyper(1468,a,7853,a(flip),b,29,a),flip(a)]. 1312736 L(x,y,((z * u) \ z) * w) = L(x,y,(z \ (u \ z)) * w). [para(7853(a,1),1503(a,1,3,1)),rewrite([4676(6),1504(4),289160(4),4676(10),1504(8)]),flip(a)]. 1312775 R(x,y,(((z * u) \ u) \ 1) * w) = R(x,y,(((u * z) \ u) \ 1) * w). [para(7853(a,1),1842(a,1,3,1)),rewrite([737392(6),737392(12)])]. 1315069 x * R(x \ y,y \ 1,y) = ((x * y) \ x) \ 1. [hyper(1465,a,7914,a(flip),b,6646,a(flip)),rewrite([21(5),79530(4),4925(5)])]. 1315300 R(x,y,(((z \ 1) * u) * z) * w) = R(x,y,w * L(u,z \ 1,z)). [para(3866(a,1),7916(a,2,3,2))]. 1315304 R(x,y,(z * ((z * u) \ u)) * w) = R(x,y,w * a(z,z,u)). [para(5069(a,1),7916(a,2,3,2)),rewrite([614621(5)])]. 1315355 R(x,y,z * ((u \ 1) * L(u,w,v5))) = R(x,y,a(u,w,v5) * z). [para(13434(a,1),7916(a,1,3,1)),rewrite([248680(7),1254112(9)]),flip(a)]. 1315377 R(x,y,a(z,z \ 1,u) * w) = R(x,y,w * a(z,z,z \ u)). [para(5311(a,2),7916(a,2,3,2)),rewrite([5313(3)])]. 1315379 R(x,y,((z \ (u \ z)) * u) * w) = R(x,y,w * a(u,u \ 1,z)). [para(5313(a,1),7916(a,2,3,2)),rewrite([9644(5)])]. 1315391 R(x,y,z * (L(u,w,u) \ v5)) = R(x,y,(u \ v5) * z). [para(2633(a,1),7916(a,1,3,1)),rewrite([977207(4),2645(6)]),flip(a)]. 1315432 R(x,y,a(z,u,w) \ v5) = R(x,y,a(w,u,z) * v5). [para(5402(a,1),7916(a,1,3,1)),rewrite([9373(3),1315355(9)])]. 1315447 R(x,y,(z * (u \ (w * v5))) * u) = R(x,y,u * ((u \ (v5 * w)) * z)). [para(2503(a,1),7916(a,2,3)),rewrite([7547(6),1299070(5),614621(10)]),flip(a)]. 1315467 R(x,y,z * (((u * w) \ u) * w)) = R(x,y,a(w,w,u) * z). [para(2962(a,2),7916(a,1,3,1)),rewrite([2962(4),6880(4),1315432(5),8301(3),20(2)]),flip(a)]. 1315468 R(x,y,(((z * u) \ z) * u) * w) = R(x,y,a(u,u,z) * w). [para(2962(a,2),7916(a,2,3,2)),rewrite([2962(9),55851(9),1315432(10),8301(8),20(7)])]. 1315493 R(x,y,z * L(u,w \ 1,w)) = R(x,y,L(u,w,w) * z). [para(11219(a,1),7916(a,1,3,1)),rewrite([622162(6),1315300(6),7917(12),1843(12),640002(11)])]. 1315496 R(x,y,z * ((u \ w) * L(u,v5,v5))) = R(x,y,(a(v5,v5,u) \ w) * z). [para(9304(a,1),7916(a,1,3,1)),flip(a)]. 1315497 R(x,y,((z \ u) * L(z,w,w)) * v5) = R(x,y,v5 * (a(w,w,z) \ u)). [para(9304(a,1),7916(a,2,3,2))]. 1315498 R(x,y,(a(z,z,u) \ w) * v5) = R(x,y,(a(u,z,z) * w) * v5). [para(9470(a,1),7916(a,1,3,1)),rewrite([1254112(9),1315496(9)]),flip(a)]. 1315499 R(x,y,z * (a(u,u,w) \ v5)) = R(x,y,z * (a(w,u,u) * v5)). [para(9470(a,1),7916(a,2,3,2)),rewrite([1252805(5),1315497(5)])]. 1315617 R(T(1 / x,y),x,a(z,u,x) * w) = T(a(x,x,w) / x,y). [back_rewrite(1133652),rewrite([1315432(6)])]. 1315642 R(x,y,z * ((u \ w) * L(u,v5,v5))) = R(x,y,(a(u,v5,v5) * w) * z). [back_rewrite(1315496),rewrite([1315498(9)])]. 1316390 R(x,y,L(z,(u * u) \ w,w)) = R(x,y,L(z,w \ (u * u),w)). [para(3389(a,1),7957(a,1,3)),rewrite([5728(4),20(3),3389(9)]),flip(a)]. 1316403 R(x,y,L(z,u \ (u \ w),w)) = R(x,y,L(z,(w \ u) * u,w)). [para(9586(a,1),7957(a,1,3)),rewrite([758206(6),9586(9),81846(8)]),flip(a)]. 1317647 a(x,y,(z \ (a(u,w,z) \ 1)) \ v5) = a(x,y,(L(z,w,u) \ 1) \ v5). [para(8022(a,1),2523(a,1,3)),rewrite([12603(2),813(6),777(6),620136(5),1176925(11),8249(12),908(12),722966(11)]),flip(a)]. 1319419 (x * (a(y,y,z) * a(u,x,x))) \ z = x \ (a(u,x,x) \ L(z,y,y)). [para(8076(a,1),9260(a,1,1)),rewrite([8077(9)])]. 1319601 a(x,x,y) \ (z \ (a(u,z,z) \ y)) = z \ L(a(u,z,z) \ y,x,x). [hyper(1465,a,8077,a,b,9216,a),rewrite([8104(3),396976(3),8077(4)])]. 1319632 x \ (a(y,x,x) \ L(z,u,u)) = x \ L(a(y,x,x) \ z,u,u). [hyper(152,a,9206,a,b,8077,a),rewrite([8077(4),1319601(5)]),flip(a)]. 1319762 a(x,y,y) \ L(z,u,u) = L(a(x,y,y) \ z,u,u). [hyper(1468,a,9260,a,b,8077,a(flip)),rewrite([8076(4),1319419(5),1319632(4),22(5)]),flip(a)]. 1320565 (a(x,y,z) \ u) \ ((a(x,y,z) * w) \ (w * u)) = a(u,a(x,y,z),w * a(z,y,x)). [para(3580(a,1),8108(a,1,2)),rewrite([303(2),303(9),8301(11),773593(11)])]. 1320573 a(x,a(y,z,u),w \ ((v5 * v5) \ v6)) = a(x,a(y,z,u),w \ v6). [para(4847(a,1),8108(a,1,2)),rewrite([8108(4)]),flip(a)]. 1320981 x \ (a(y,x,a(z,u,u)) * w) = a(y,x,a(u,u,z)) * (x \ w). [para(12502(a,1),226144(a,2,1,1)),rewrite([8565(6),8871(3),8871(4),8599(4),22(4),299(3),13597(3),761492(3),761510(4),761492(7),761524(8)]),flip(a)]. 1321149 (x * a(y,z,a(u,x,z))) \ w = a(y,x,a(z,z,u)) * (x \ w). [back_rewrite(761524),rewrite([1320981(8)])]. 1338279 R((x * y) \ 1,(x * y) \ 1,z \ ((z * y) * x)) = 1 / (x * y). [para(4997(a,1),79600(a,2,1)),rewrite([762(17),1253752(17)])]. 1342205 a(x,(y * y) * x,z) = a(x,y * (x * y),z). [hyper(507,a,5961,a,b,394534,a),rewrite([14(6),14(11),14(12),5873(13),21(12),553136(9),1249287(8),9237(4),394534(12),3260(8)]),flip(a)]. 1342246 a(x,x,(a(y,z,x) * u) * w) = a(x,x,u * w). [para(608635(a,2),394534(a,1,3)),rewrite([303(3),299(9),1009475(9),394534(10),1252792(8)])]. 1342359 (x / ((y * y) * (z * x))) * ((y * y) * z) = a(z,y * (z * y),x). [back_rewrite(79380),rewrite([1342205(10)])]. 1342504 (a(x,y,z) * a(u,u,x)) \ w = a(x,y,z) \ (a(u,u,x) \ w). [hyper(152,a,789288,a(flip),b,5245,a),rewrite([299(4),5273(8)]),flip(a)]. 1342572 a(x,y,L(z,u * (a(x,y,z) * w),u)) = a(x,y,L(z,u * w,u)). [para(5245(a,1),81970(a,1,2)),rewrite([881(5),81946(5),8380(5),8871(5),767923(5),9200(3),881(8),8871(8),9200(8),10386(7)]),flip(a)]. 1343198 L(x / (y * a(z,u,w)),a(z,u,w),y) = a(z,u,w) \ (x / y). [hyper(507,a,118989,a(flip),b,5250,a),rewrite([6078(14),41(7),19(10),761329(10),581339(10),22(8)])]. 1343293 x / (y * a(x,z,z)) = a(x,z,z) \ (x / y). [back_rewrite(848313),rewrite([1343198(5)]),flip(a)]. 1344256 L(x,(a(y,z,u) \ w) * v5,v6) = L(x,(a(y,z,u) * w) * v5,v6). [para(5274(a,2),5785(a,1,2)),rewrite([5274(5),10386(5),5785(5)]),flip(a)]. 1344311 L(x,(L(1 / y,z,u) \ 1) * w,v5) = L(x,L(y,z,u) * w,v5). [back_rewrite(1072746),rewrite([1344256(11),9235(9),8633(10)])]. 1344345 ((x / y) * (y * a(z,u,w))) / x = a(z,u,L(w,y,x * y)). [hyper(1466,a,5276,a,b,5931,a),rewrite([13307(8),8303(7)])]. 1344460 T((x * a(y,z,u)) * (w / x),K(w,v5)) = (x * a(y,z,u)) * (w / x). [para(5276(a,1),1703(a,1,2,2)),rewrite([7351(9),22(7),5300(7),749(6)])]. 1344574 x * a(y,z,L(u,x * w,w)) = w * ((w \ x) * a(y,z,u)). [para(1102266(a,2),5276(a,2,2)),rewrite([251651(8),927(5),5785(4),8871(3),1102266(14),842501(12),6387(11),6389(10),13307(9),3264(8),239071(8)])]. 1350556 a(x,y,(a(z,u,w) \ v5) * v6) = a(x,y,(v5 * a(w,u,z)) * v6). [para(9234(a,1),5398(a,1,3,1,2)),rewrite([9315(7)]),flip(a)]. 1354021 a(x,y,L(z,u,u * w)) \ w = (a(x,y,z) \ u) * (u \ w). [hyper(152,a,9373,a(flip),b,7161,a),rewrite([13598(5),8301(4),1219197(6),9373(7)])]. 1354024 R(x,y,L(z,u,x * u)) = R(x,y,L(z,u,u)). [hyper(152,a,4971,a(flip),b,7161,a),rewrite([8982(3),1135237(3),9537(4),9238(3),1134359(6)]),flip(a)]. 1354369 (x \ y) * (((x \ 1) \ (x \ y)) \ z) = ((x \ 1) * y) * (y \ z). [para(12386(a,1),7161(a,2,1)),rewrite([910(14),8858(14),910(14),818(14),10179(14),11425(14),3266(11),8858(9),3866(7),813978(8),9221(6),395700(5),123130(6),763(16),9613(15),486998(11),11706(12)]),flip(a)]. 1354379 (a(x,y,z) * u) * (u \ x) = R(x,y,L(z,u,u)). [back_rewrite(1134359),rewrite([1354024(7)])]. 1358109 a(x * (y \ ((z / u) \ y)),w,v5) = a(x * (y \ ((u \ z) \ y)),w,v5). [para(11608(a,1),835(a,1,1,1)),rewrite([832(7),7106(7),7556(5),12144(10),11608(12),832(12),7106(12),7556(10)])]. 1358810 (x * (((y \ 1) \ 1) \ z)) * (1 / y) = (x * (y \ z)) * (y \ 1). [para(11909(a,1),11660(a,1,2)),rewrite([126484(8),1859(13),430391(13),816337(14)]),flip(a)]. 1358835 R(x,(y \ 1) * z,y \ 1) = R(x,y \ z,y \ 1). [para(11909(a,1),5120(a,1,2,2)),rewrite([1358810(9),5120(12),1859(12),850121(12)]),flip(a)]. 1358880 (x \ ((1 / x) * y)) * (x \ 1) = (x \ ((x \ 1) * y)) * (1 / x). [para(605837(a,1),11909(a,1,1)),rewrite([391(4),391(12)]),flip(a)]. 1358886 R(x,y,z) / ((a(x,y,z) / u) * (u * x)) = a(a(x,y,z) * u,u,x). [hyper(1832,a,13177,a(flip),b,9637,a)]. 1358971 a(x,y,z) \ L(z,u,a(w,v5,v6)) = a(z,u,a(w,v5,v6)) * L(z,y,x). [para(5242(a,1),9637(a,1,2))]. 1358991 L(x,L(y,z,u),a(y,w,v5)) = L(x,y,a(y,w,L(v5,z,u))). [para(9637(a,1),9385(a,1,3,2)),rewrite([11047(6),840743(6),13326(4),4179(3),13269(3),1315432(8),20(7),5242(6),4179(6)]),flip(a)]. 1361215 R(x,y,z) / (1 / L(x,u,w)) = L(x,u,w) * R(x,y,z). [para(7232(a,1),12736(a,1,2,1,2)),rewrite([12405(11),78312(11),29(5),298(3),379(2)]),flip(a)]. 1363664 (L(x / y,z,u) * w) \ L(x / y,z,u) = (L(y \ x,z,u) * w) \ L(y \ x,z,u). [para(1478(a,1),9244(a,1,1,1)),rewrite([1478(10),9244(10),20(4),20(7),677(11),155(10),677(15),155(14),664225(14)])]. 1364372 L(x / (y / z),x \ y,x * y) = (1 / (z / (x / (y / z)))) * z. [para(12128(a,2),13188(a,2,1,2)),rewrite([1504(9),6913(9),903(9),637899(9),81882(9),10669(9),434411(7),12128(11)])]. 1364731 (x \ y) * (z * a(y,y,z)) = (x \ R(y,y,z)) * z. [para(3115(a,1),9284(a,1,1)),rewrite([816(8),851(5),1857(13),194152(11),122890(8),1069295(7)])]. 1364843 (x * ((x \ R(y,y,z)) * z)) \ ((1 / y) \ z) = a(x,x \ y,z). [back_rewrite(331760),rewrite([1364731(4)])]. 1365460 L(x,y,a(z,u * (z * u),w)) = L(x,y,a(z,z,w)). [para(5961(a,2),10914(a,2,3)),rewrite([5873(5),5873(7),4847(8),436595(6),10914(4),14(8),14(13),14(14),5873(15),21(14),553136(11),1249287(10),9237(6)]),flip(a)]. 1365640 L(x * (1 / (y \ x)),(x \ y) * (y \ x),z) = x * (1 / (y \ x)). [para(11729(a,1),5940(a,1,1,2)),rewrite([5329(8),372(5),378(6),11729(9),11729(13),1220171(14)])]. 1365696 ((x \ y) * (y \ x)) * (y \ z) = (x * (1 / (y \ x))) \ z. [para(11729(a,1),5805(a,1,1,2)),rewrite([1006478(9),1365640(9),11729(10)]),flip(a)]. 1365857 ((x * (y \ z)) \ x) * (y \ z) = (z \ y) * (x \ (x / (z \ y))). [para(7921(a,2),11729(a,2,1)),rewrite([1219648(8),916035(6),11740(7),7921(9),11629(12)])]. 1366325 L(x,L((1 / y) * z,y,y) \ u,w) = L(x,(y \ z) \ u,w). [para(3277(a,1),8598(a,1,2,1,1))]. 1366361 L(x,(L(L(y,z,u),z,u) \ w) * v5,v6) = L(x,(y \ w) * v5,v6). [para(5624(a,1),8598(a,1,2)),rewrite([879(6),8592(11),8598(9),5624(9),879(9)])]. 1366368 L(x,L(y,z,u) * (y \ w),v5) = L(x,y * (L(y,z,u) \ w),v5). [para(2836(a,2),8598(a,1,2)),rewrite([8574(5),298(5),2836(4),708720(4),1099357(8)]),flip(a)]. 1366870 T(x \ ((x * (y \ 1)) * y),z) = y \ (1 / (x \ (x / y))). [para(11961(a,2),2107(a,2,1)),rewrite([1273473(9),2020(13),11695(10),5297(11),21(9),742(8),44(9),45(9),46(9),5902(9),19(7),46(7),493(7),20(7),391(13),11441(10)]),flip(a)]. 1367374 a(x,y,L(L(z,u,w),z,v5 * z)) = a(x,y,L(L(z,z,v5),u,w)). [para(13219(a,1),4740(a,2,1,1)),rewrite([8871(3),24(7),1344345(6),24(9),13573(8),8871(7)])]. 1368315 L(x,y,z * (u * (z \ u))) = L(x,y,a(u,z * u,z)). [para(10176(a,2),4841(a,2,3)),rewrite([1504(9),4676(9),1504(7),1118291(7),4680(7),9267(6),7822(7),1122768(5),9785(6),315226(6),6342(4),10176(9),7685(10),9787(10),97705(8),926524(8)])]. 1369160 L(x,y,(z \ ((u \ 1) \ z)) \ w) = L(x,y,(z \ (u \ z)) \ w). [para(11822(a,2),9632(a,1,3,1,2)),rewrite([11822(5),941414(4),6051(6),10800(6),1208009(11)])]. 1371245 ((L(x,y,z) \ u) / u) * L(x,y,z) = ((x \ u) / u) * x. [hyper(1465,a,9131,a,b,10724,a),rewrite([492(9),9131(8),884445(6),332254(5),1004641(12),1004876(12)]),flip(a)]. 1371257 R(x,y,z) * (u / (R(x,y,z) * u)) = x * (u / (x * u)). [hyper(1465,a,514,a,b,10724,a),rewrite([514(7),1170809(6),11728(5)]),flip(a)]. 1372013 R(x,y,z) * ((x \ 1) \ u) = x * ((R(x,y,z) \ 1) \ u). [para(10724(a,2),5117(a,1,2,2)),rewrite([10724(5),944035(6)]),flip(a)]. 1374245 L(x,y,(L(z * u,u,u) \ w) * (u \ z)) = L(x,y,w). [para(261(a,2),11792(a,1,3)),rewrite([261(9),10676(10),22(5),2442(6),2904(5),10676(10),22(6)]),flip(a)]. 1374323 L(x,y,(L(z * u,u,u) * w) * v5) = L(x,y,((u \ z) * w) * v5). [para(9314(a,1),11792(a,1,3)),rewrite([8870(9),8845(9),9314(11)])]. 1374353 ((T(x,y) \ z) / z) \ 1 = T(((x \ z) / z) \ 1,y). [hyper(1832,a,18597,a,b,11724,a),rewrite([1202761(6),5900(8),374(6),2553(8),749(8),1742(8),19(6),380(5),378(6),1000020(5),1202801(5),487797(4)]),flip(a)]. 1378540 ((x \ a(y,z,x \ 1)) * x) * u = (x * L(1 / x,z,y)) \ u. [para(6673(a,2),2595(a,1,2,1,1)),rewrite([6673(9),5269(8),150209(8),1061601(6)]),flip(a)]. 1378614 a(x,y,(z * L(1 / z,u,w)) \ v5) = a(x,y,a(w,u,z \ 1) * v5). [para(6673(a,2),7963(a,1,3,1,1)),rewrite([6673(6),1378540(6)])]. 1379142 (((x / y) / z) \ 1) * (x / y) = (((y \ x) / z) \ 1) * (y \ x). [para(2004(a,2),11733(a,1,1,1)),rewrite([2004(5),374684(5),11733(6)]),flip(a)]. 1382618 x \ ((y / x) \ L(y,z,u)) = L(y \ L(y,z,u),x,x). [para(9315(a,1),11727(a,1,2,2,1)),rewrite([579701(7),10164(7),1134720(5),11079(4),840945(8)]),flip(a)]. 1382795 (x \ L(y,z,u)) \ (x \ y) = a(u,z,L(y,x * y,x)). [para(6547(a,2),11727(a,1,2,2,1)),rewrite([6547(5),11333(7),10164(8),1032974(5),519414(5),5262(9),13306(10),13480(7)]),flip(a)]. 1382911 a(x,y,L(z,u * z,u * z)) = a(x,y,L(z,u * z,u)). [back_rewrite(13480),rewrite([1382795(8)])]. 1385396 (x * (y \ K(z,y))) \ (y \ K(z,y)) = (y * T(x,T(y \ 1,z))) \ y. [hyper(1832,a,5661,a,b,11504,a(flip)),rewrite([9244(7),763(4),679(7),107823(5),174(4),2112(6),3209(10),4611(10)]),flip(a)]. 1386565 a(x,L(y \ 1,y,a(x,z,u)),u) = a(x,y \ a(x,z,u),u). [para(8259(a,1),10481(a,1,2)),rewrite([13307(4),1038639(5),8510(7)]),flip(a)]. 1386570 a(x,(y \ 1) * L(z,y,y),u) = a(x,y \ z,u). [para(8259(a,1),2321(a,2,2)),rewrite([2321(6),10704(5),1044610(5),5944(7)]),flip(a)]. 1386886 a(x,x * y,a(z,z,u)) = a(x,z,a(u,y \ x,z)). [hyper(507,a,7113,a,b,8286,a),rewrite([7113(4),1295656(3),1030821(8)])]. 1386889 a(x,y,a(z,u \ x,y)) = a(y,y,a(z,x * u,x)). [hyper(507,a,8943,a(flip),b,8286,a),rewrite([9167(3),1030821(8)]),flip(a)]. 1387086 a(x,y \ z,a(z,u,u)) = a(x,u,a(u,z * y,z)). [hyper(507,a,8899,a(flip),b,8287,a),rewrite([9167(3),875378(8)]),flip(a)]. 1387113 a(x,y \ z,a(z,u,u)) = a(z,z * y,a(u,u,x)). [hyper(152,a,9114,a(flip),b,8287,a),rewrite([875380(5),1295656(6)])]. 1387597 L(x,y,a(z * u,z \ u,w)) = L(x,y,a(z * u,z * u,w)). [para(2090(a,1),8745(a,1,3,1)),rewrite([814(10),9815(8),1295805(7),769712(5),814(13),7106(11),948520(9)]),flip(a)]. 1388319 L(x,y,a(z,u,u \ w)) = L(x,y,a(z,u,u * w)). [para(5971(a,2),8806(a,2,3)),rewrite([8301(3),8806(4),5971(8)]),flip(a)]. 1388382 L(x,y,a(x \ z,u,w)) = L(x,y,a(x * z,u,w)). [para(8326(a,1),8806(a,1,2,3)),rewrite([8806(4)]),flip(a)]. 1388406 L(x,y,a(y,z,u)) * a(y,w,v5) = L(x * a(y,w,v5),y,a(y,z,u)). [para(5227(a,1),8806(a,1,2,3)),rewrite([9186(5),122838(5)])]. 1388460 x * a(y,z,a(u,u,a(w,v5,x))) = L(x,v5,a(w,u,a(y,z,u))). [para(6542(a,2),8806(a,2,3)),rewrite([8982(3),6542(6)])]. 1388477 L(x,a(y,z,u),a(u,w,v5)) = L(x,z,a(y,u,a(v5,w,u))). [para(8891(a,1),8806(a,1,2,3)),rewrite([1388460(4)]),flip(a)]. 1388478 L(x,a(y,z,u),a(y,w,v5)) = L(x,z,a(u,y,a(v5,w,y))). [para(8961(a,1),8806(a,1,2,3)),rewrite([1388460(4)]),flip(a)]. 1388483 L(x,a(y,z,u),a(w,z,z)) = x. [para(753795(a,1),8806(a,1,2)),rewrite([20(2)]),flip(a)]. 1388484 a(x,y,L(z,z,a(u,y,w))) = a(x,y,z). [para(755533(a,1),8806(a,1,2)),rewrite([20(3),8871(4)]),flip(a)]. 1388485 a(x,y,L(z,y,a(u,u,w))) = a(x,y,z). [para(769087(a,1),8806(a,1,2)),rewrite([20(3),8871(4)]),flip(a)]. 1388548 L(x,x,a(x * y,z,u)) = L(x,z,a(u,x,y)). [para(11131(a,2),8806(a,1,2,3)),rewrite([11131(3),773249(3),27660(3)]),flip(a)]. 1389250 L(x,y,a(z,u,x \ w)) = L(x,y,a(z,u,w * x)). [para(1828(a,2),8826(a,2,3)),rewrite([4925(3),81275(5),12258(5),9237(4),5242(3),1828(7),246937(7),1315432(8),20(7),5242(6)])]. 1389480 a(x,y,L(z,x,u * (w \ u))) = a(x,y,L(z,x,w)). [para(5922(a,1),8834(a,1,3,3)),rewrite([1312736(4),8834(5),772842(4),4628(8),772833(7)])]. 1389492 a(x,y,z \ L((z * x) * u,x,x)) = a(x,y,L(x * u,x,z)). [para(6904(a,1),8834(a,2,3)),rewrite([14782(11),2535(11),8303(10),19(9),80698(9),9855(9),3266(7),8852(5),373(3),7292(12),8303(8),19(7),3266(10),8999(8)]),flip(a)]. 1389754 a(x,y,(z * (x \ 1)) \ u) = a(x,y,z \ ((x \ 1) \ u)). [para(9482(a,1),8858(a,1,3,1)),rewrite([909(6),10151(5),7292(11),814129(11),8999(9),9261(9)])]. 1390050 a(x,x,a(y,z,u \ (y \ w))) = a(x,z,a(y,x,u \ w)). [para(8862(a,2),8943(a,2,3)),rewrite([8849(4),830684(4),8862(6)]),flip(a)]. 1390051 a(x,y,a((z * x) \ u,w,v5)) = a(x,y,a(z \ (x \ u),w,v5)). [para(8862(a,1),8982(a,1,1)),rewrite([8982(4)]),flip(a)]. 1390065 a(x * (y \ z),u,a(u,w,y)) = a(u,w,a(y,u,x \ z)). [para(8862(a,2),9012(a,2,3)),rewrite([774095(4),8862(7),1390050(8)])]. 1390887 (a(x,y,z) \ (u \ 1)) * ((u \ 1) \ w) = (a(x,y,z) \ u) * (u \ w). [para(8908(a,2),5805(a,1,1,2)),rewrite([8908(5),10399(9),9800(9),13307(9),4679(8),8380(6),767923(7),285317(4),9855(5),1354021(4),7259(12)]),flip(a)]. 1391024 a(x,y,L(z,u,w)) \ (w * (u \ 1)) = w * (a(x,y,z) \ (u \ 1)). [para(8910(a,2),1998(a,1,1,2)),rewrite([8910(5),8380(6),8871(6),767923(6),9855(4),299(10),300(13)])]. 1391068 a((x * y) \ z,u,y) = a(x \ (y \ z),u,y). [hyper(4669,a,8920,a)]. 1391641 L(x,x \ y,a(z,u,w)) = L(x,x * y,a(z,u,w)). [hyper(1468,a,9479,a,b,8947,a),rewrite([1292239(5),9238(4),5242(3),9060(3)]),flip(a)]. 1391648 a(x,y \ x,a(z,u,w)) = a(x,x * y,a(z,u,w)). [hyper(507,a,9479,a,b,8947,a),rewrite([1292239(5),1391641(6),8947(7)])]. 1391649 a(x,y,a(z,z \ u,w)) = a(x,y,a(z,z * u,w)). [hyper(507,a,4996,a,b,8947,a),rewrite([4996(6),10673(6),8947(7)])]. 1391676 a(x,y,a(z,u,u \ w)) = a(x,y,a(z,u,u * w)). [para(5971(a,2),8947(a,2,3)),rewrite([8301(2),8947(4),5971(8)]),flip(a)]. 1392779 L(x \ L(x,y,z),u,x * u) = L(a(z,y,x) \ 1,u,u). [para(8968(a,1),9316(a,1,1)),rewrite([8866(4),8675(10)]),flip(a)]. 1393533 L(x,x * (y \ x),a(z,u,w)) = L(x,y,a(w,u,z)). [hyper(507,a,11873,a,b,9090,a),rewrite([1391641(4),1292311(8),9235(7),5242(6)])]. 1393565 L(x,y \ z,a(y,u,w)) = L(x,y * z,a(y,u,w)). [para(5970(a,2),9090(a,1,1,3)),rewrite([5970(5),1391649(3),9090(4)]),flip(a)]. 1394394 L(x,L(y \ z,u \ y,u),w) = L(x,(u \ y) \ (u \ z),w). [para(7835(a,2),9107(a,1,2,1)),rewrite([7835(5),1036431(5)]),flip(a)]. 1394414 L(x,L((y / z) * u,w,v5),v6) = L(x,L((z \ y) * u,w,v5),v6). [para(785(a,1),9107(a,1,2,1)),rewrite([99951(7),9107(7)]),flip(a)]. 1394415 L(x,L(y * (z / u),w,v5),v6) = L(x,L(y * (u \ z),w,v5),v6). [para(786(a,1),9107(a,1,2,1)),rewrite([6555(7),9107(7)]),flip(a)]. 1394416 L(x,L(y * ((z \ u) \ u),w,v5),v6) = L(x,L(y * z,w,v5),v6). [para(787(a,1),9107(a,1,2,1)),rewrite([99755(7),9107(5)]),flip(a)]. 1394443 L(x,L(R(y,z,u) * w,v5,v6),v7) = L(x,L(L(y,z,u) * w,v5,v6),v7). [para(2522(a,1),9107(a,1,2,1)),rewrite([99748(7),9107(7)]),flip(a)]. 1394461 L(x,((y \ z) \ 1) \ y,u) = L(x,((z \ y) \ 1) * y,u). [para(12749(a,1),9107(a,1,2,1)),rewrite([1038568(4),637899(5),13188(8),6909(10),902(10)])]. 1396177 a(x,y,(z \ R(u,w,w)) \ v5) = a(x,y,(z \ L(u,w,w)) \ v5). [para(9248(a,1),2473(a,1,3,1,1)),rewrite([845071(6),1088920(3),910(4),910(8)])]. 1396319 a(x,x,L(y,y * z,u)) = a(x,x,L(y,z,u)). [para(209(a,2),9271(a,1,3,2)),rewrite([5785(5),783(5),21(2),783(7),21(5)])]. 1399074 L(x,y * L(z * a(u,u,z),w,z),v5) = L(x,y * L(z,u,u),v5). [para(9303(a,2),3168(a,2,2)),rewrite([11788(5),78043(4),9303(8),837658(9)])]. 1399146 a(x \ (y * (z * a(u,u,z))),w,v5) = a(x \ (y * L(z,u,u)),w,v5). [para(9303(a,2),4859(a,1,1,2)),rewrite([9303(5),1216748(5),1104701(5)]),flip(a)]. 1399163 a(x \ (a(y,y,z) * (u * z)),w,v5) = a(x \ (u * L(z,y,y)),w,v5). [para(9303(a,1),6041(a,1,1,2)),rewrite([1399146(5)]),flip(a)]. 1399625 a((x * y) * (x * L(y,x,z)),u,w) = a(w,u,a(y,x,z)). [para(9307(a,1),13263(a,1,1,2)),rewrite([13500(6),8982(10),13252(9),769216(9)])]. 1400210 L(x,L(y,z,u),a(w,v5,L(y,z,u))) = L(x,y,a(w,v5,y)). [hyper(507,a,6554,a(flip),b,9419,a),rewrite([773065(8),8599(7),13597(7),10835(7)])]. 1400243 a(x,y,L(L(z,u,w),v5,v6)) \ z = L(z,y,L(L(x,v5,v6),u,w)). [para(34(a,2),9419(a,2,3)),rewrite([13265(3),34(6),10672(7)])]. 1400251 L(x,y,L(z,x,a(u,x,w))) = L(x,y,z). [para(8054(a,1),9419(a,1,1,3)),rewrite([9236(2)]),flip(a)]. 1400379 L(x,L(y,z,u),L(y,w,v5)) = L(x,y,L(L(y,z,u),w,v5)). [para(8520(a,1),9419(a,1,1)),rewrite([1400243(4)]),flip(a)]. 1400398 L(x,y,L(z,a(x,u,w),v5)) = L(x,y,L(z,x,a(w,u,v5))). [para(9109(a,1),9419(a,1,1,3)),rewrite([9419(4)]),flip(a)]. 1400497 L(x,y,L(z,u \ w,u * w)) = L(x,y,L(z,u * w,u * w)). [para(4817(a,1),9419(a,1,1,3)),rewrite([729759(4),9419(5),4817(9)]),flip(a)]. 1400983 K(x,y) * (a(z,u,w \ 1) * w) = 1 / L(w \ K(y,x),u,z). [hyper(1465,a,9429,a,b,12604,a),rewrite([1104(7),130234(7)]),flip(a)]. 1401332 L(1 / x,y,z) \ K(u,T(w,x)) = 1 / L(x \ K(w,u),y,z). [para(9429(a,1),10661(a,2,2)),rewrite([298(7),1098(6),1787(7),19(5),20(7),1400983(12)])]. 1403771 L(x,((T(y,z) \ u) \ w) \ v5,v6) = L(x,((y \ u) \ w) \ v5,v6). [para(9613(a,1),895(a,2,2,1)),rewrite([923(6),7301(7),5788(5),637899(4),637899(9)]),flip(a)]. 1404081 R(x,y,((T(z,u) \ w) \ v5) \ v6) = R(x,y,((z \ w) \ v5) \ v6). [para(9613(a,1),7326(a,1,3,1)),rewrite([12302(5),774(10),1839(11),12302(9)])]. 1404084 R(x,y,z \ ((T(u,w) \ v5) \ v6)) = R(x,y,z \ ((u \ v5) \ v6)). [para(9613(a,1),7514(a,1,3,2)),rewrite([11175(5),11175(9)])]. 1406850 a((x \ y) * ((z * x) \ (z * y)),u,w) = a(w,u,a(x * y,x,z)). [para(3515(a,1),9752(a,1,1,2)),rewrite([8301(8)])]. 1406879 a(x,y,a(z,u,w \ ((v5 * v5) \ v6))) = a(x,y,a(z,u,w \ v6)). [para(4847(a,1),9752(a,1,1,2)),rewrite([9752(4)]),flip(a)]. 1407052 ((x * y) * (y \ z)) * ((x * z) \ 1) = a(x,y,y \ z). [para(5971(a,1),9757(a,1,1)),rewrite([5971(11),911647(9),22(5),22(7),375(4)]),flip(a)]. 1407217 a(x,y,L(y \ z,z,z)) = a(x,y,y \ z). [back_rewrite(1124974),rewrite([1407052(10)])]. 1407223 a(x \ y,z,z \ y) = a(y * x,z,z \ y). [back_rewrite(1182190),rewrite([1407217(4)])]. 1407231 a(x \ y,z,z \ x) = a(x * y,z,z \ x). [back_rewrite(608604),rewrite([1407223(3)]),flip(a)]. 1407328 (x / (y \ z)) \ ((x / z) * y) = a(z * x,y,y \ z). [back_rewrite(6597),rewrite([1407231(8)])]. 1408483 (x \ L(y \ 1,z,y)) * a(y,z,y \ 1) = x \ (y \ 1). [hyper(1468,a,6502,a,b,9801,a),rewrite([3264(10),3264(16),5235(17),7216(16),127725(16),5557(15),350537(15),1098(14),651567(15),2602(13),202246(9),19(6)])]. 1410561 R(x,y,L(z,u \ 1,w)) = R(x,y,L(z,u,w)). [hyper(1468,a,9855,a(flip),b,9234,a),rewrite([9238(3)]),flip(a)]. 1410599 a(x,y,L(z,(u * u) \ w,v5)) = a(x,y,L(z,w \ (u * u),v5)). [para(5728(a,1),9855(a,1,3,2)),rewrite([20(3)]),flip(a)]. 1410602 a(x,y,L(z,(u * w) \ (u * u),v5)) = a(x,y,L(z,(u \ 1) * w,v5)). [para(5644(a,2),9855(a,1,3,2)),rewrite([20(4),6909(9)])]. 1410663 (a(x,y,z * u) \ z) \ L(z * u,y,x) = L(u,z,a(x,y,z * u)). [hyper(1465,a,9863,a,b,5516,a),rewrite([8199(5),19(8),9236(7)])]. 1410753 a(x,a(y,z,a(u,w,x)) * v5,u) = a(x,a(x,w,a(y,z,u)) * v5,u). [para(9863(a,2),10481(a,1,2)),rewrite([9863(5),13597(3),1085628(5),397184(4),13597(7)]),flip(a)]. 1411120 a(x,y,L(z,u,u * w)) * w = (a(x,y,z) * u) * (u \ w). [para(9867(a,2),83305(a,1,1)),rewrite([9867(4),8982(5),1391676(5),951085(6),300(8)])]. 1415549 a(((R(x,y,y) \ z) * x) * u,w,v5) = a((a(x,y,y) * z) * u,w,v5). [para(12740(a,1),9997(a,1,1,1)),rewrite([562638(4)]),flip(a)]. 1422537 R(x,y,z \ (u * (w / v5))) = R(x,y,z \ (u * (v5 \ w))). [para(88171(a,1),7514(a,1,3,2)),rewrite([2007(6)]),flip(a)]. 1426667 a(x,(y * y) \ z,a(u,w,v5)) = a(x,z,a(u,w,v5)). [para(183759(a,1),4995(a,1,1,1)),rewrite([5643(11),733048(10),4995(7),97527(4),8982(4),755310(4),97527(8),8982(8),755310(8)]),flip(a)]. 1431056 L(x,a(y,z,u),a(z,z,w)) = x. [hyper(5755,a,1388483,a),rewrite([1009475(7),5967(8),8380(5),9939(5)])]. 1431099 a(x,y,y) \ (a(z,y,u) * w) = (a(x,y,y) \ a(z,y,u)) * w. [para(1388483(a,1),5519(a,1,2)),rewrite([299(3),8199(5),299(7),8199(10)]),flip(a)]. 1431139 (a(x,x,y) * a(z,x,u)) * w = a(x,x,y) * (a(z,x,u) * w). [hyper(1832,a,1431056,a(flip),b,5390,a),rewrite([23(6)]),flip(a)]. 1431144 (a(x,y,z) * a(y,y,u)) * w = a(y,y,u) * (a(x,y,z) * w). [hyper(1468,a,1431056,a(flip),b,69278,a),rewrite([38158(4),5286(7),41(5),19(5)])]. 1431331 R(x,y,z * a(x,x,y)) = R(x,y,z). [hyper(1468,a,395714,a(flip),b,9234,a),rewrite([9238(2)]),flip(a)]. 1431794 a(x,x,L(y * a(z,z,u),w,v5)) = a(x,x,L(y,w,v5)). [para(396976(a,1),8871(a,1,1)),rewrite([8871(2)]),flip(a)]. 1432153 a(x,a(y,z,u) * w,a(y,v5,u)) = a(x,v5,a(y,w,u)). [para(397168(a,1),8760(a,1,3)),flip(a)]. 1432159 a(x,y,a(z,a(u,w,x) * v5,u)) = a(z,y,a(u,v5,x)). [para(397168(a,1),8808(a,1,3)),flip(a)]. 1432160 a(x,y,a(z,a(x,u,z) * w,v5)) = a(v5,y,a(x,w,z)). [para(397168(a,1),8808(a,2,3))]. 1432164 a(x,a(x,y,z) * u,a(z,w,v5)) = a(v5,w,a(x,u,z)). [para(397168(a,1),8811(a,2,3))]. 1433375 1 / R(x,y,y \ x) = (1 / (y \ x)) / y. [para(22(a,1),429181(a,1,2,1))]. 1434080 (a(x,y,z) * u) / ((x * L(x,y,z)) \ u) = L(x,y,z) * R(x,y,z). [hyper(1832,a,501821,a(flip),b,236777,a),rewrite([305(3),380(2),19(3),1708(4),4971(10),541488(10)])]. 1434587 (x \ (x \ 1)) / (y \ 1) = (x \ (x \ 1)) * y. [hyper(1466,a,558705,a(flip),b,14782,a)]. 1436076 a(x,(y \ 1) \ z,y) = a(x,y * z,y). [para(5569(a,1),872016(a,1,2)),rewrite([619148(8),735127(6),21(2),816(7),10142(6)]),flip(a)]. 1438901 ((a(x,y,z) * u) \ w) * a(x,y,z) = a(x,y,z) * ((u * a(x,y,z)) \ w). [hyper(1467,a,5606,a,b,5598,a(flip)),rewrite([299(5),295(7),22(4)])]. 1440770 a(x,(((y * y) \ z) * u) * w,v5) = a(x,(z * ((y * y) \ u)) * w,v5). [para(10533(a,1),5679(a,1,2,1)),rewrite([528168(6),10533(9),528579(11)]),flip(a)]. 1440869 a(x,((y \ 1) \ (y * z)) * u,w) = a(x,(y * y) * (z * u),w). [para(5513(a,2),5679(a,2,2,2)),rewrite([5513(11),1093335(12)])]. 1442308 a(x,y,L(z,u \ (w * w),v5)) = a(x,y,L(z,u,v5)). [para(27(a,1),5727(a,1,1)),rewrite([8870(4),1031896(11),6078(8),8870(8),52445(8)])]. 1442539 a(x,y,L(z,(u \ 1) * w,v5)) = a(x,y,L(z,u * w,v5)). [back_rewrite(1410602),rewrite([1442308(5)]),flip(a)]. 1442540 a(x,y,L(z,(u * u) \ w,v5)) = a(x,y,L(z,w,v5)). [back_rewrite(1410599),rewrite([1442308(8)])]. 1444668 (x * (y * z)) \ (z * (x * y)) = a(x,y,z) * K(z,x * y). [para(26(a,1),5806(a,1,1,3)),rewrite([301(6),26(11)])]. 1444827 a(x,y \ (z * (u \ (w / v5))),v6) = a(x,y \ (z * (u \ (v5 \ w))),v6). [para(8259(a,1),5811(a,1,2)),rewrite([5944(8),1386570(8),10238(9),10704(16),1044610(16)])]. 1445080 ((x \ y) / z) \ K(x \ y,x) = ((y / x) / z) \ 1. [para(2004(a,1),5818(a,2,1)),rewrite([1105(6),19(6),301(10),1104(13),20(13),45(12),44(11),46(11),493(11),376(10)])]. 1448450 L(x,a(y,y,z * y) * u,w) = L(x,a(y,y,z) * u,w). [para(2833(a,1),11936(a,1,2)),rewrite([5787(5),883(4),284966(6),1277463(5),883(7),2833(8),284966(9),1277463(8)])]. 1448452 L(x,y * a(z * u,u,u),w) = L(x,a(z,u,u) * y,w). [para(2836(a,2),11936(a,2,2)),rewrite([9528(4),883(5),8429(7),883(8)])]. 1448832 L(x,a(y,y \ 1,z) * u,w) = L(x,u * a(y,y,z),w). [para(10753(a,1),10381(a,1,2)),rewrite([29(2),5938(4),10338(4),312908(5),29(7),1298946(11),1279308(9),1305238(8)]),flip(a)]. 1448835 L(x,y * a(z,u,w \ 1),v5) = L(x,y * a(w,u,z),v5). [para(9429(a,2),10381(a,1,2,1,1)),rewrite([7201(6),373(6),855226(5),8202(10),8201(11),312908(10)])]. 1448864 L(x,a(y,y,y \ z) * u,w) = L(x,u * a(y,y,z),w). [back_rewrite(1305160),rewrite([1448832(5)]),flip(a)]. 1448871 L(x,((y \ (z \ y)) * z) * u,w) = L(x,u * a(z,z,y),w). [back_rewrite(1041433),rewrite([1448832(10)])]. 1448875 L(x,y * a(z,z \ 1,u),w) = L(x,y * a(z,z,u),w). [back_rewrite(1304622),rewrite([1448864(4)]),flip(a)]. 1451084 ((x \ 1) \ 1) \ (y * (1 / x)) = x \ (y * (x \ 1)). [hyper(1466,a,11909,a(flip),b,10493,a),rewrite([1358880(7),3157(11),1097(7),685(8),502(6)]),flip(a)]. 1453796 L(x,(y \ L(z,u,z)) \ w,v5) = L(x,(y \ z) \ w,v5). [para(11250(a,1),905(a,1,2,1,1)),rewrite([11116(4),675767(6)]),flip(a)]. 1456284 K(x,x \ 1) * (y \ ((x \ 1) * z)) = y \ ((1 / x) * z). [para(1351(a,1),9679(a,2,2,1)),rewrite([8301(5),20(2),41173(3),1104(8),742(11),1104(14),861(14),153(14,R),22(11)])]. 1456359 L(x,y,x) * (z \ (x * u)) = x * (z \ (L(x,y,x) * u)). [para(9679(a,1),2689(a,1,2)),flip(a)]. 1459164 a(x,L(y \ 1,y,z * y) \ u,w) = a(x,L(y \ 1,y,z) \ u,w). [para(19138(a,1),12266(a,2,2,1,2)),rewrite([14(6),5873(12),21(11),45861(8),1503(6),2904(5),5873(16),716776(18),21(14),45784(11)]),flip(a)]. 1459443 R(x,y,((T(z,u) * w) \ v5) \ v6) = R(x,y,((w * z) \ v5) \ v6). [para(1575(a,2),12122(a,1,3,1,1)),rewrite([1575(3),1299883(10)])]. 1459517 R(x,y,((z * (u / w)) \ v5) \ v6) = R(x,y,((z * (w \ u)) \ v5) \ v6). [para(36166(a,1),12122(a,1,3,1,1)),rewrite([1459443(7),682(11),893(12),923(13),7514(14),1459443(11)]),flip(a)]. 1459554 R(x,y,L(z \ 1,z,u * z) \ w) = R(x,y,L(1 / z,z,u) \ w). [para(45861(a,1),12122(a,1,3,1)),rewrite([244329(10),12258(12),7513(12)])]. 1459567 R(x,y,(((z / u) \ w) \ v5) \ v6) = R(x,y,(((u \ z) \ w) \ v5) \ v6). [para(314020(a,1),12122(a,1,3,1,1)),rewrite([1404081(7),774(12),923(13),7514(14),1404081(11)])]. 1460364 L(x,y,x) \ (z \ L(x,u,w)) = x \ (z \ L(R(x,y,x),u,w)). [para(10467(a,1),4936(a,1,2)),rewrite([2645(9)]),flip(a)]. 1460479 T(a(x,x,y) * z,u) * (z \ w) = T(z,u) * ((a(x,x,y) \ z) \ w). [hyper(1465,a,12499,a(flip),b,2190,a),rewrite([5300(3),1104(6),2299(6)]),flip(a)]. 1460484 (x * ((a(y,y,z) \ x) \ u)) / (a(y,y,z) * x) = u / x. [para(12499(a,1),153(a,1,1)),rewrite([5271(12),153(11,R),22(9)])]. 1460487 (a(x,x,y) * z) * (u / z) = z * (u / (a(x,x,y) \ z)). [para(12499(a,1),209(a,2,2,1)),rewrite([1460479(6),1049715(6),1460484(13)]),flip(a)]. 1462055 a(x,y,a(z,u,w \ x)) = a(x,y,a(z,u,x * w)). [para(2448(a,2),9451(a,1,3,1)),rewrite([2448(4),6687(4),7832(4),13265(4),8871(3),752689(4),2532(7),2384(7),13265(7),8871(6),752689(7)])]. 1462807 L(x,y * (L(L(z,u,w),u,w) \ v5),v6) = L(x,(z \ v5) * y,v6). [para(8563(a,1),7296(a,1,2,1,1)),rewrite([12974(5),1217822(5),1366361(5)]),flip(a)]. 1465800 a(x * a(y * z,z,z),u,w) = a(a(z,z,y) * x,u,w). [hyper(4661,a,7404,a)]. 1465888 a(a(x,x,y \ z) * u,w,v5) = a(a(x,x,y * z) * u,w,v5). [para(1487(a,1),7404(a,2,1,1)),rewrite([98563(5),7404(5),149520(8)])]. 1465934 a((a(x * y,y,y) * z) * u,w,v5) = a((z * a(y,y,x)) * u,w,v5). [para(9314(a,1),7404(a,1,1)),rewrite([8982(9),902921(9),8806(9),8505(10)])]. 1466047 a(x,(y \ 1) * z,y \ 1) = a(x,y \ z,y \ 1). [para(6457(a,2),13556(a,2,3)),rewrite([492(11),812(12),818(8),1436076(8),6457(17),778(18),95548(18),818(14),6994(14),842674(10)])]. 1469177 a(x,y \ ((z \ 1) * (u * z)),w) = a(x,y \ L(u,z,z),w). [para(14782(a,1),10078(a,1,2,2)),rewrite([6688(5),8303(3),19(2)]),flip(a)]. 1469195 a(x,y \ (z * R(u,u,z)),w) = a(x,y \ ((u \ 1) \ z),w). [para(5072(a,1),10078(a,1,2,2)),rewrite([10277(5)]),flip(a)]. 1469224 a(x,y \ (z * ((u * u) \ 1)),w) = a(x,y \ ((u * u) \ z),w). [para(3395(a,1),10078(a,1,2,2)),flip(a)]. 1469246 a(x,y \ (z * (u \ K(w,v5))),v6) = a(x,y \ ((u \ 1) * z),v6). [para(1488(a,2),10078(a,1,2,2)),rewrite([1488(5),732624(5)]),flip(a)]. 1469293 a(x,y \ (((z \ u) * w) * z),v5) = a(x,y \ (z * ((u / z) * w)),v5). [para(7363(a,1),10078(a,1,2,2)),rewrite([699126(10),820(12),622084(10)]),flip(a)]. 1469299 a(x,y \ (z * (u \ (u \ 1))),w) = a(x,y \ ((u * u) \ z),w). [para(5846(a,1),10078(a,1,2,2)),rewrite([313882(6),10574(10)]),flip(a)]. 1469356 a(x,y \ (z * ((1 / z) * u)),w) = a(x,y \ L(u,z,z),w). [para(11219(a,1),10078(a,1,2,2)),rewrite([622084(6),1469293(6),10574(13),97531(13),639951(12)])]. 1469400 a(x,y \ L(z,u \ 1,u),w) = a(x,y \ L(z,u,u),w). [para(10994(a,2),10078(a,1,2,2)),rewrite([10994(5),1469293(6),1469356(6),3866(7)]),flip(a)]. 1469461 a(x,y \ (z \ (T(u,w) \ v5)),v6) = a(x,y \ (z \ (u \ v5)),v6). [para(7261(a,1),10078(a,1,2,2)),rewrite([10575(5),1444827(11),819(11)])]. 1470260 T((1 / (a(x,y,z) / u)) * a(x,y,z),u \ 1) = L(u,u,a(z,y,x)). [hyper(507,a,13018,a,b,10167,a),rewrite([12976(9),334224(14),299(12),13597(12),9235(12),5242(11)])]. 1471275 a(x,y \ ((z \ u) \ L(u,w,u)),v5) = a(x,y \ z,v5). [para(6991(a,1),10179(a,1,2,2)),rewrite([8382(4),2372(3),2377(4),11116(5)]),flip(a)]. 1471409 a(x,y \ (z \ L(u,w,u)),v5) = a(x,y \ (z \ u),v5). [para(11250(a,1),10180(a,1,2,2,1)),rewrite([11116(4),1471275(6)]),flip(a)]. 1472849 (R(x,y,z) \ 1) \ (u * x) = (x \ 1) \ (u * R(x,y,z)). [hyper(6259,a,5511,a(flip),b,10201,a),rewrite([1372013(5),1210388(6),21(12)])]. 1474375 a(x,((y \ ((z * z) * u)) \ u) * w,v5) = a(x,y * ((z * z) \ w),v5). [para(5876(a,2),10274(a,2,2)),rewrite([5728(3),5876(9),1138288(10)])]. 1474379 a(x,(y * ((z * z) \ u)) * w,v5) = a(x,(y * u) * ((z * z) \ w),v5). [para(5643(a,1),10274(a,1,2,1,1)),rewrite([1474375(7),1440770(10)]),flip(a)]. 1474431 a(x,(((y * y) \ z) * u) * w,v5) = a(x,(z * u) * ((y * y) \ w),v5). [back_rewrite(1440770),rewrite([1474379(10)])]. 1478740 L(x,y,a(z,u \ w,u \ w)) = L(x,y,a(z,u \ w,u * w)). [para(7033(a,1),10399(a,2,3)),rewrite([11175(8),10399(8),948745(8),174578(7),1315432(10),20(9),5242(8)])]. 1478755 R(x,y,L(z / u,u,w) \ v5) = R(x,y,L(u \ z,u,w) \ v5). [para(9896(a,1),10399(a,2,3,1)),rewrite([760467(4)])]. 1479043 R(x,y,L(z \ 1,z,u * z) \ w) = R(x,y,L(z \ 1,z,u) \ w). [back_rewrite(1459554),rewrite([1478755(11)])]. 1480596 (x \ K(x * y,x \ 1)) \ (y * z) = x \ ((x * (y / (x \ 1))) * z). [para(10430(a,2),9759(a,2,1)),rewrite([492(4),492(6),4447(10)]),flip(a)]. 1481454 a((x * a(y,z,u \ 1)) * w,v5,v6) = a(w * (a(y,z,u) * x),v5,v6). [para(10474(a,2),1502(a,1,1,2,1)),rewrite([909(4),8201(6),1309294(6),1209356(10),928(11),52445(12)]),flip(a)]. 1483439 L(x,y,a(z,y * u,y)) = L(x,y,a(y,u,z)). [hyper(152,a,11873,a,b,10521,a),rewrite([3266(8),9475(6),1391641(5),1393533(5),10673(3),3266(8),1393565(7),20(5)])]. 1483479 L(x,y * z,a(y,y,u)) = L(x,y,a(y,z,u)). [para(3260(a,1),10521(a,1,3)),rewrite([769689(7),1342205(4),1365460(5),3260(8),27102(7)])]. 1492217 a(x,x,y * (L(x,z,u) \ w)) = a(x,x,y * (x \ w)). [hyper(507,a,2318,a(flip),b,10705,a),rewrite([924(8),96040(10),8870(8),52445(8),8520(6),8599(6),924(14),10453(16),2318(14),8870(12),52445(12),8520(10),8599(10),1199437(8)])]. 1492307 a(x,x,(y * (x \ z)) * u) = a(x,x,(y * z) * (x \ u)). [para(1998(a,1),10705(a,1,3,1)),rewrite([789(9),7767(8),8870(8),8520(8),8599(8),8870(14),8520(14),8599(14),1492217(10)])]. 1494978 (1 / x) \ (y \ ((1 / x) * z)) = (x \ 1) \ (y \ ((x \ 1) * z)). [hyper(1465,a,1456284,a(flip),b,3219,a),rewrite([22(3)])]. 1501160 a(x \ y,(z * (x \ y)) * z,u) = a(x \ y,(x \ y) * (z * z),u). [hyper(1468,a,1227195,a,b,5068,a),rewrite([14(6),1227195(13),1342359(13),528579(9),528168(8),899(7),899(6),151835(16),151763(15),9819(14),3380(13),899(11)])]. 1504804 a(x,x,y * (L(z \ 1,z,u) * w)) = a(x,x,(z \ w) * y). [para(225404(a,1),9550(a,2,3)),rewrite([9550(7),1001452(11),11276(11)])]. 1504826 a(x,x,(y \ (z \ y)) * u) = a(x,x,z \ u). [para(225404(a,2),394534(a,1,3)),rewrite([1504804(7),7027(4),6415(6)]),flip(a)]. 1506277 K(x \ y,z) / T(x \ 1,u) = T(1 / x,u) \ K(y / x,z). [para(6381(a,1),167292(a,2,2)),rewrite([1104(8),9772(8),1742(7),91403(7),749(6),367(7),190820(7),157833(13),1097(9),132381(13)])]. 1510341 ((x \ (y * y)) * x) \ (z * u) = (((x \ (y * y)) * x) \ z) * u. [para(6866(a,2),37492(a,1,1,1)),rewrite([622552(6),5326(7),12849(7),301(8),5326(9),12849(9),641788(10),622552(12)]),flip(a)]. 1511197 L(x,y,z * (u * L(w * v5,w,v5))) = L(x,y,(u * (w \ v5)) * z). [para(685457(a,1),2570(a,1,3,2,2)),rewrite([735129(6),98229(4)]),flip(a)]. 1513581 L(x,y,(z * (u \ (1 / w))) * v5) = L(x,y,(z * (u \ w)) * v5). [para(1122416(a,1),2570(a,1,3,2,2)),rewrite([286100(8),98229(6),1511197(11)])]. 1513735 L(x,y,(z * L(u * w,u,w)) * v5) = L(x,y,(z * (u \ w)) * v5). [para(1122416(a,2),6296(a,1,3,1,2)),rewrite([10519(5),98229(11),1513581(11)])]. 1514504 R(x,y * a(z,u,u),w * a(x,x,y)) = R(x,y * a(z,u,u),w). [para(9556(a,1),1431331(a,1,3,2))]. 1517788 a(x,(R(y,z,u) \ 1) \ w,v5) = a(x,(L(y,z,u) \ 1) \ w,v5). [para(5530(a,1),5943(a,1,2)),rewrite([820(6),10142(5),880602(12),604310(12),820(11),10142(10)])]. 1517882 a(x,L(y * z,y,y) * u,w) = a(x,u * (y * L(z,y,y)),w). [para(10261(a,1),5945(a,1,2,2)),rewrite([938075(7),8303(8),19(7),2327(9)])]. 1517892 a(x,y \ (z * R(u,w,v5)),v6) = a(x,y \ (z * L(u,w,v5)),v6). [para(8259(a,1),5945(a,1,2)),rewrite([5944(7),1386570(7),2568(7),10704(13),1044610(13)])]. 1517905 a(x,y \ (z * L(u,u,z)),w) = a(x,y \ ((u \ 1) \ z),w). [back_rewrite(1469195),rewrite([1517892(4)])]. 1517987 a(x,(L(y \ 1,z,u) * y) * w,v5) = a(x,w * a(y,z,u),v5). [para(5401(a,2),5947(a,2,2,1)),rewrite([248680(4),528194(6),898914(6),5401(9)]),flip(a)]. 1520968 (x \ ((x * y) * (y \ z))) \ z = a(x,y,y \ z) \ 1. [para(5994(a,2),1351(a,2,1)),rewrite([45848(7)]),flip(a)]. 1522325 (1 / L(x,y,z)) * a(u,w,x) = a(u,w,x) / L(x,y,z). [para(6082(a,1),5574(a,1,1)),rewrite([13482(6),9315(10),243958(12)])]. 1523426 (x * (y \ z)) / (y \ L(z,u,u)) = (y \ L(z,u,u)) \ ((y \ z) * x). [para(9206(a,1),6111(a,1,2)),rewrite([9206(8)])]. 1523835 a(x,y,a(z,u,w \ 1) * v5) = a(x,y,v5 * a(z,u,w)). [para(4245(a,2),6124(a,2,3,1)),rewrite([9572(7),6124(7),1378614(6),4245(11),428454(10),535387(11)])]. 1523862 a(x,y,z * a(u,w,v5 \ 1)) = a(x,y,z * a(u,w,v5)). [para(10474(a,2),6124(a,1,3,1)),rewrite([909(4),8201(6),1523835(5),1209356(9),815(10)]),flip(a)]. 1523937 a(x,y,(((z / u) \ w) \ v5) \ v6) = a(x,y,(((u \ z) \ w) \ v5) \ v6). [para(3484(a,1),6125(a,1,3,1,1,1)),rewrite([535299(9),6125(7)])]. 1523966 a(x,y,(z * z) * (L(z,u,w) \ v5)) = a(x,y,(L(z,u,w) \ 1) \ v5). [para(11834(a,1),6125(a,2,3,1)),rewrite([444566(6),7563(8),6569(6),11762(5),535232(8),1317647(6),5728(9),55727(10)]),flip(a)]. 1524079 (R(x,y,z) * y) / z = (x * y) / L(z,y,x). [para(3516(a,1),6135(a,1,1,1)),rewrite([23(3),2535(3),8893(3)]),flip(a)]. 1526816 a(x,y,(z \ L(u,z,z)) \ w) = a(x,y,((z \ 1) * u) \ w). [para(3431(a,1),6207(a,2,3,1)),rewrite([242378(3),910(4),1396177(4),6207(10),535300(10)])]. 1529405 a(x,x,y * (z * a(x,u,w))) = a(x,x,y * z). [para(7189(a,2),5227(a,1,3)),rewrite([8871(5),5227(7),5227(4)]),flip(a)]. 1530354 1 / (x \ (y * ((1 / y) * x))) = (x \ (y * ((1 / y) * x))) \ 1. [para(11736(a,1),4654(a,1,2,2)),rewrite([7131(10),5329(10),372(7),378(8)])]. 1530463 (x \ (y * ((1 / y) * x))) \ 1 = ((y \ x) / x) * y. [para(11736(a,1),4652(a,2,2,2)),rewrite([1530354(7),1299403(13),9151(10),6554(9),9229(9),1000020(13),948894(13),948883(14),19(12)])]. 1530469 (x \ (y * ((1 / y) * x))) \ z = z * (((y \ x) / x) * y). [para(11736(a,1),12421(a,1,2,2)),rewrite([5347(15),5327(15),372(12),376(13),20(8),1530354(14),1530463(14),1000020(11),948894(11),948881(12)])]. 1530483 (x \ (y * ((1 / y) * x))) * z = (((y \ x) / x) * y) \ z. [para(11736(a,1),11054(a,1,1,2)),rewrite([1194298(5),7131(9),5329(9),372(6),378(7),1194298(11),1530469(13),19(11),948894(11),948887(12)])]. 1530926 (x * (y \ (y / x))) * (((y * (x \ 1)) \ y) \ z) = x \ z. [para(11742(a,1),5805(a,1,1,2)),rewrite([12123(9),12051(9),55841(9),1369160(7),8946(5),8858(4),8054(5),11742(6)]),flip(a)]. 1533010 (x * y) * (y \ T((y * (z \ 1)) * z,x)) = ((y * (z \ 1)) * z) * x. [para(11338(a,2),83305(a,1,2,3)),rewrite([778(11),9821(10),1292311(9),9224(7),20(7)]),flip(a)]. 1533115 (x * (y \ (y / x))) \ (y * z) = ((y * (x \ 1)) * x) * z. [para(11338(a,2),6726(a,1,2)),rewrite([6630(6),10964(7),6112(11),1533010(13)])]. 1533905 R(x,y,L(z,z,u * z) * w) = R(x,y,L(z,z,u) * w). [para(7739(a,1),1844(a,2,3,1)),rewrite([5724(4),619894(4),7546(4),95848(4),96766(9),11764(7),7546(8),8303(6),95848(8)]),flip(a)]. 1537075 R(x,y,L(L(z,u,w) * v5,z,z)) = R(x,y,(L(z,u,w) \ 1) \ v5). [para(276(a,2),11471(a,2,3,1)),rewrite([1400379(5),8592(5),276(8)])]. 1537081 R(x,y,L(R(z,u,w) * v5,z,z)) = R(x,y,(R(z,u,w) \ 1) \ v5). [para(514(a,2),11471(a,2,3,1)),rewrite([2535(5),4179(5),1400379(5),8592(5),514(8)])]. 1537183 R(x,y,(R(z,u,w) \ 1) \ v5) = R(x,y,(L(z,u,w) \ 1) \ v5). [para(10022(a,1),11471(a,1,3,1)),rewrite([1537081(4),1252863(12),1038878(11)])]. 1537249 R(x,y,L(z \ (u \ 1),u,u)) = R(x,y,u \ (u \ (z \ u))). [para(6973(a,2),11046(a,1,3,2)),rewrite([9428(6),20(2),20(2),6973(4),10812(4),11287(9)]),flip(a)]. 1537250 R(x,y,L(z,u,u) * (u \ 1)) = R(x,y,u \ z). [para(4869(a,1),11046(a,1,3,2)),rewrite([5444(9),373(2),373(2),73389(7),22(2),1860(6),2007(3),1007900(10),7332(9),6388(11),7917(10),640045(10)]),flip(a)]. 1537931 a(x,y,L(z \ ((z * u) * w),u,u)) = a(x,y,(u \ 1) \ L(w,u,z)). [para(9381(a,2),11428(a,1,3,1)),rewrite([10840(11)])]. 1537940 a(x,y,(L(z \ 1,u,w) \ 1) \ v5) = a(x,y,L(z,u,w) \ v5). [para(4628(a,1),11428(a,1,3)),rewrite([561424(9),9200(8),20(6),9068(6)]),flip(a)]. 1537942 a(x,y,((z \ a(z,u,w)) \ 1) \ v5) = a(x,y,L(z,u,w) \ v5). [para(11855(a,1),11428(a,2,3,1)),rewrite([2535(11),4628(11),4179(9),561424(9),9200(8),20(6),772785(6),9068(6)]),flip(a)]. 1537951 a(x,y,a(z,z,u) * ((u \ 1) \ w)) = a(x,y,(L(u,z,z) \ 1) \ w). [para(10047(a,1),11428(a,1,3,1)),rewrite([11788(8),10647(7),1400379(6),8592(6),11428(5),435526(5),516810(10),1317647(12)])]. 1538003 a(x,y,(a(z,u,w) \ z) \ v5) = a(x,y,L(z,u,w) \ v5). [para(5124(a,1),9067(a,1,3,2)),rewrite([5478(7),5124(4),633481(4),772785(10),9068(10)])]. 1538029 a(x,y,(L(1 / z,u,w) \ 1) \ v5) = a(x,y,L(z,u,w) \ v5). [back_rewrite(843224),rewrite([1538003(11)])]. 1538074 a(x,y,L(z,u * z,u)) * (u * z) = u * (a(x,y,L(z,u,u)) * z). [hyper(1467,a,11075,a(flip),b,13488,a)]. 1538169 a(x,y,L(((z / u) \ 1) * z,u,z)) = a(x,y,L(u,z,z)). [para(5729(a,1),11075(a,2,3,2)),rewrite([921(7),3389(7),8424(5),2008(5),921(9),3389(9),8303(7),1367374(8),1442540(7),81886(4),10578(6),921(12),3389(12),8424(10),1442540(11),8968(9)])]. 1538409 a(x,y,z * (u \ L(w \ 1,v5,w))) = a(x,y,z * (u \ (w \ 1))). [para(7805(a,2),10715(a,1,3)),rewrite([7963(8),810(20),410895(18),42009(15),1408483(14)])]. 1538459 R(x,y,(((z * u) \ u) \ w) * v5) = R(x,y,((u \ (z \ u)) \ w) * v5). [para(5624(a,1),12052(a,1,3)),rewrite([6388(6),5523(13),10381(13),5624(15),6388(11)])]. 1538489 R(x,y,a(z,u \ 1,u) * w) = R(x,y,a(z,u,u) * w). [para(10753(a,1),12052(a,1,3)),rewrite([29(2),5938(4),10338(4),1300165(5),29(7),1305716(11),1279308(9),1300170(8)]),flip(a)]. 1538500 R(x,y,(((z * u) \ z) \ 1) * w) = R(x,y,((z \ (u \ z)) \ 1) * w). [back_rewrite(1312775),rewrite([1538459(6)]),flip(a)]. 1538505 R(x,y,((z \ ((u / z) \ z)) \ 1) * w) = R(x,y,((u \ z) \ 1) * w). [back_rewrite(737551),rewrite([1538500(7)])]. 1540358 L(1 / (x * y),x * y,a(z,y,x)) = 1 / (x * y). [para(7390(a,1),10846(a,2,3)),rewrite([126134(11),1338279(10),5242(9)]),flip(a)]. 1540455 a(x,y,(((z * u) \ u) \ w) * v5) = a(x,y,((u \ (z \ u)) \ w) * v5). [para(5624(a,1),10010(a,1,3)),rewrite([810(6),5523(13),10381(13),5624(15),810(11)])]. 1541278 R(x,y,z * (((u * u) \ w) * v5)) = R(x,y,z * (w * ((u * u) \ v5))). [hyper(1468,a,10836,a(flip),b,9234,a),rewrite([9238(6)]),flip(a)]. 1541402 a(x,y,z * a(u * w,w,w)) = a(x,y,z * a(u,w,w)). [para(29(a,1),10279(a,1,3,1,2,2)),rewrite([3036(3),10153(5),10279(5)]),flip(a)]. 1541661 R(x,y,z * (R(u,w,v5) \ 1)) = R(x,y,z * (L(u,w,v5) \ 1)). [para(5508(a,1),12258(a,1,3)),rewrite([1842(6),845455(12),1174118(12),1842(11)])]. 1541672 R(x,y,(R(z,u,w) \ v5) * v6) = R(x,y,(L(z,u,w) \ v5) * v6). [para(5624(a,1),12258(a,1,3)),rewrite([6388(5),2535(9),4175(9),5624(11),6388(9)])]. 1541707 R(x,y,z * (L(1 / u,w,v5) \ 1)) = R(x,y,z * (a(u,w,v5) \ u)). [back_rewrite(843373),rewrite([1541661(7)])]. 1542371 R(1 / x,x,y) \ R(y,z,u) = (1 / (x * y)) \ a(y,z,u). [para(3140(a,2),13429(a,2,1)),flip(a)]. 1542400 ((x * y) / z) \ R(x * y,u,w) = (1 / z) \ a(x * y,u,w). [para(824(a,2),13429(a,1,2)),rewrite([824(6)]),flip(a)]. 1542949 a(x,(y \ (z \ y)) * (u \ (y \ u)),w) = a(x,z \ ((u * y) \ u),w). [para(4566(a,2),7953(a,1,2)),rewrite([6402(5),7108(5),818(7),7826(7),2332(14),9244(10),628584(10),7954(10)]),flip(a)]. 1542950 a(x,y \ ((z * u) \ z),w) = a(x,y \ (z \ (u \ z)),w). [para(4566(a,2),7953(a,2,2)),rewrite([7953(10),2332(10),9244(6),1030873(6),7954(6),1542949(6),7108(9),818(11),7826(11)])]. 1545445 a(x * ((y * L(z,y,y)) * u),w,v5) = a(((y \ z) * u) * x,w,v5). [para(9534(a,1),3280(a,2,1,2)),rewrite([8910(5),556625(6),3280(7),621179(11),621187(11)])]. 1545539 a(x,x,L(y,(z \ 1) \ u,w)) = a(x,x,L(y,z * u,w)). [para(9534(a,1),9271(a,1,3,2)),rewrite([902(7),1431794(8),9271(6),1431794(10)])]. 1546054 x * (L(y,z,a(z,u,x)) * (L(y,z,z) \ u)) = (x * u) * a(z,z,y). [para(13396(a,2),6561(a,1,2)),rewrite([8982(3),13597(4),761412(4),11941(5),216659(6),5239(11)])]. 1546062 a(x,y,z \ (u * (w * (v5 / v6)))) = a(x,y,z \ (u * (w * (v6 \ v5)))). [para(6561(a,1),3948(a,1,3,2)),rewrite([95582(6),813(8),6561(11),95582(11)])]. 1546415 a(x,x,y) \ L(a(x,x,y) * z,u,u) = L(z,u,u). [hyper(1465,a,9863,a(flip),b,8707,a(flip)),rewrite([9288(5),396985(4),9236(7)])]. 1546480 L(L(x,a(y,y,z),u),u * a(y,y,z),u) = L(x,u,u). [back_rewrite(764320),rewrite([1546415(10)])]. 1546505 a(x * (y \ z),x,x) = a(x * (y * z),x,x). [hyper(507,a,8149,a(flip),b,10137,a),rewrite([8149(7),93458(6),524970(6)])]. 1547362 a(x,L(y,z,u) * (y \ w),v5) = a(x,y * (L(y,z,u) \ w),v5). [hyper(1832,a,9127,a(flip),b,8410,a(flip)),rewrite([1366368(5),8410(10),391(8)]),flip(a)]. 1547445 (L(L(x,y,z),u,w) \ v5) / x = (x \ v5) / L(L(x,y,z),u,w). [para(12185(a,1),6884(a,1,1,2)),rewrite([6710(8),22(5)])]. 1547450 (L(x,y,z) \ u) / L(x,y,z) = (x \ u) / L(L(x,y,z),y,z). [back_rewrite(1291734),rewrite([1547445(4)]),flip(a)]. 1547451 (x \ a(y,z,x)) * (x \ a(y,z,x)) = (x \ 1) / L(L(x,z,y),z,y). [back_rewrite(632937),rewrite([1547450(10)])]. 1548775 R(x,y,(z * (u \ (w / v5))) * v6) = R(x,y,(z * (u \ (v5 \ w))) * v6). [hyper(1468,a,11516,a(flip),b,9234,a),rewrite([9238(6)]),flip(a)]. 1548844 x \ a(x * y,y,x \ 1) = y \ ((x / y) \ 1). [hyper(507,a,225842,a,b,11320,a),rewrite([225842(13),9906(12),119454(4),119454(7),3835(7),774(9),1501(10),3182(5),241(5),818(16),119454(13),52584(15),832(12),119454(8),763(8),7371(11)]),flip(a)]. 1549386 a(x,y,y) \ ((z / R(x,y,y)) \ 1) = (z / L(x,y,y)) \ a(y,y,x). [para(11320(a,2),12740(a,1,2)),rewrite([5817(6),2532(6),11320(7),13396(7),9299(6)]),flip(a)]. 1549632 L(x,y,y) \ ((z / L(x,y,y)) \ 1) = x \ ((z / x) \ 1). [para(10047(a,1),11320(a,1,2,1)),rewrite([841143(8),559552(7),1548844(7),840192(11),9576(13),9299(13),516810(12),9291(11)])]. 1551201 T(x \ (y / z),z) * T(u,z \ (x \ y)) = u * T(x \ (y / z),z). [hyper(1468,a,10780,a(flip),b,29,a)]. 1553150 R(x,y \ ((z \ (y \ z)) \ 1),u) = L(x,a(y,y,z),u). [para(6087(a,1),10808(a,1,2)),rewrite([329824(6),9234(4),5238(4),748753(4)]),flip(a)]. 1554799 L(x,y,a(z,x \ u,w)) = L(x,y,a(z,x * u,w)). [para(5970(a,2),10835(a,1,1,3)),rewrite([5970(5),1391649(3),10835(4)]),flip(a)]. 1554800 L(x,y \ z,a(u,w,y)) = L(x,y * z,a(u,w,y)). [para(5970(a,2),10835(a,1,1)),rewrite([5970(7),9195(3),10835(4)]),flip(a)]. 1554852 L(x,y,a(z,u,y \ w)) = L(x,y,a(z,u,y * w)). [para(8301(a,1),10835(a,1,1)),rewrite([10835(4)]),flip(a)]. 1555064 L(x,y,a(z,u \ z,w)) = L(x,y,a(z,z * u,w)). [para(8286(a,2),10835(a,2,3)),rewrite([9167(3),10835(4),8286(7)]),flip(a)]. 1555752 L(x,y,a(z,z \ u,w)) = L(x,y,a(z,z * u,w)). [back_rewrite(1292253),rewrite([1555064(3)]),flip(a)]. 1556909 L(x,y * (L(z,u,u) * u),w) = L(x,y * L(z * u,u,u),w). [para(5712(a,1),10894(a,1,2,2)),rewrite([621869(11),533652(11)])]. 1556910 L(x,y * (z * L(u,z,z)),w) = L(x,y * L(u * z,z,z),w). [para(5712(a,2),10894(a,1,2,2)),rewrite([5712(5),1556909(4)]),flip(a)]. 1556972 L(x,(y * R(z,y,y)) * u,w) = L(x,u * L(z * y,y,y),w). [back_rewrite(99730),rewrite([1556910(8)])]. 1559947 L(x,y,z * ((u \ a(w,v5,u)) * v6)) = L(x,y,(v6 * L(u,v5,w)) * z). [para(10961(a,1),2509(a,1,3,2)),rewrite([286100(11)])]. 1562965 a(x,(y * z) * ((z * z) \ u),w) = a(x,(y * (z \ 1)) * u,w). [para(3431(a,2),11023(a,1,2,1)),rewrite([1474431(5),2323(11),528154(11)])]. 1562971 a(x,(L(y,z,z) * z) * u,w) = a(x,L(y * z,z,z) * u,w). [para(5712(a,1),11023(a,1,2,1)),rewrite([622186(11),814127(11)])]. 1562972 a(x,(y * L(z,y,y)) * u,w) = a(x,L(z * y,y,y) * u,w). [para(5712(a,2),11023(a,1,2,1)),rewrite([5712(5),1562971(4)]),flip(a)]. 1563054 a(x,L(y * z,z,z) * u,w) = a(x,u * (z * L(y,z,z)),w). [para(5715(a,2),11023(a,1,2,1)),rewrite([5715(7),430123(6),528150(10),1562972(8)]),flip(a)]. 1564165 a(x,y,L(y,z * L(y,u,w),v5)) = a(x,y,L(y,z,v5)). [para(35(a,1),11073(a,1,3)),rewrite([503859(6),8528(8)])]. 1564247 a(x,y,L(y,L(y,z,u) * w,v5)) = a(x,y,L(y,w,v5)). [para(6709(a,1),11073(a,1,3,2)),rewrite([99758(4),11074(5),1564165(4)]),flip(a)]. 1566058 R(x,y,z * a(u,u \ 1,w)) = R(x,y,z * a(u,u,u \ w)). [para(5311(a,2),11134(a,1,3,2)),rewrite([5313(7)]),flip(a)]. 1566115 R(x,y,(z * (u / w)) \ v5) = R(x,y,(z * (w \ u)) \ v5). [para(19263(a,1),11143(a,1,3,1,1)),rewrite([923(8),853(6),7514(9),151096(5),151096(9)]),flip(a)]. 1566208 R(x,y,z \ ((z \ u) \ 1)) = R(x,y,((z * u) \ 1) * z). [para(11320(a,1),11143(a,2,3)),rewrite([10811(8),11143(6),929556(4),11175(10)]),flip(a)]. 1568699 a(x,L(y,z \ 1,u),w) = a(x,L(y,z,u),w). [hyper(1832,a,11277,a(flip),b,9236,a),rewrite([13508(3)]),flip(a)]. 1573722 a((x \ (y \ x)) * z,u,x) = a((y * x) * (z \ x),u,x). [para(3829(a,2),11481(a,1,1,2,1)),rewrite([10140(7),1020228(6),536127(6),11506(4),6887(10),1358109(10),738531(10)]),flip(a)]. 1575098 a((x \ y) * z,u,y \ 1) = a(y * (x * z),u,y \ 1). [hyper(507,a,7945,a(flip),b,11506,a),rewrite([1255885(8),98765(6),7945(14),11067(13),97980(11)])]. 1575266 a(x * (y \ ((x * y) \ z)),u,(x * y) \ z) = a(z,u,(x * y) \ z). [para(2476(a,1),11506(a,1,1)),rewrite([52445(5)]),flip(a)]. 1575294 L(x,a(y * (z \ u),w,u),v5) = L(x,a(u,w,(z * y) * u),v5). [para(11506(a,1),8032(a,1,2))]. 1575295 L(x,a(y,z,(u * w) * y),v5) = L(x,a(y,z,w * (u \ y)),v5). [para(11506(a,2),8032(a,1,2)),rewrite([11506(3),1575294(4)])]. 1575303 a(x,y,a(z * (u \ w),v5,w)) = a(x,y,a(w,v5,(u * z) * w)). [para(11506(a,1),8080(a,1,3))]. 1575304 a(x,y,a(z,u,(w * v5) * z)) = a(x,y,a(z,u,v5 * (w \ z))). [para(11506(a,2),8080(a,1,3)),rewrite([11506(3),1575303(4)])]. 1575421 L(x,a(y * (z * u),w,y),v5) = L(x,a(y,w,u * (z \ y)),v5). [para(11506(a,1),7678(a,1,2)),rewrite([98806(7),1575098(5),7678(6),4735(9),11506(7),1575294(8),1575295(8)])]. 1575435 a(a(x,x,y) * ((z * y) \ u),w,u) = a(u * (z * L(y,x,x)),w,u). [para(9303(a,1),11506(a,1,1,1)),rewrite([11506(5),10047(4),559552(5),803895(4)]),flip(a)]. 1575462 a(x,y,a(z * (u * w),v5,z)) = a(x,y,a(z,v5,w * (u \ z))). [para(11506(a,1),5981(a,1,3)),rewrite([1575303(4),1575304(4)]),flip(a)]. 1578284 ((1 / x) * y) \ (z \ ((1 / x) * y)) = ((x \ 1) * y) \ (z \ ((x \ 1) * y)). [hyper(507,a,5518,a,b,11607,a),rewrite([1494978(7),5517(9),11607(21)]),flip(a)]. 1579673 a((x \ y) * y,z,a(u,(x \ y) * y,w)) = a(x,x,a(u,z,w)). [hyper(507,a,9114,a,b,11616,a),rewrite([520722(5),1220247(4),11616(8)]),flip(a)]. 1579788 (x * a(y,(y \ z) * z,u)) \ u = x \ L(u,(y \ z) * z,y). [para(11616(a,1),9260(a,1,1,2)),rewrite([244465(5),520722(5),244448(10),244407(10),254220(10)])]. 1580081 R(x,y,z) * (x \ (u / x)) = u / (a(x,y,z) \ x). [para(11775(a,1),11617(a,1,1)),rewrite([11775(5),13511(5)])]. 1581854 (L(x,y,z) \ 1) \ ((x * x) \ u) = (a(z,y,x) / (1 / x)) \ u. [para(4901(a,1),183736(a,1,1)),rewrite([375614(14),520233(11)])]. 1584288 R(x,y,L(L(z / u,w,v5),v6,v7)) = R(x,y,L(L(u \ z,w,v5),v6,v7)). [para(231481(a,2),3024(a,1,3,1)),rewrite([231481(4),2867(5),2706(4),492(2),685729(4),685729(8)]),flip(a)]. 1584941 x * (((x \ 1) * y) * (1 / y)) = y \ (((x * y) \ x) \ 1). [para(12289(a,2),71509(a,1,2,2)),rewrite([12289(11),544313(11),375(5),1315069(12),1273609(14)])]. 1585687 (x * x) \ (y / ((x * x) \ z)) = (z \ y) * K(x \ (x \ z),z \ y). [para(37512(a,1),153(a,1,1)),rewrite([5645(5),5791(10)])]. 1606610 x * (a(x,x,y) \ R(x \ z,u,w)) = R(x,x,y) \ R(x * z,u,w). [hyper(1465,a,4925,a(flip),b,17569,a),rewrite([4930(5)])]. 1611464 L(x,y,(((1 / z) \ u) * w) * v5) = L(x,y,((z \ u) * w) * v5). [para(3511(a,1),6295(a,2,3,1,1)),rewrite([5724(3),14(4),14(5),622087(6),3158(6)]),flip(a)]. 1611484 L(x,y,((z * R(u,u,z)) * w) * v5) = L(x,y,((u \ z) * w) * v5). [para(2684(a,1),6295(a,1,3,1,1)),rewrite([6295(6),332262(3),1293943(12),1611464(11)])]. 1611501 L(x,y,(z * L(1 / u,w,v5)) * v6) = L(x,y,(z * L(u,w,v5)) * v6). [para(9460(a,1),6295(a,2,3,1,1)),rewrite([6295(8),289137(8),10519(6),1170968(11)])]. 1611504 L(x,y,(((z / u) \ w) * v5) * v6) = L(x,y,(((u \ z) \ w) * v5) * v6). [para(68759(a,1),6295(a,2,3,1,1)),rewrite([762(6),928(7),928(8),622087(9),890(9),865267(6),865267(12)])]. 1611516 L(x,y,(((z \ 1) \ u) * w) * v5) = L(x,y,((z \ u) * w) * v5). [para(79597(a,1),6295(a,2,3,1,1)),rewrite([6295(7),1293943(7),1611504(6),1611484(11)])]. 1611525 L(x,y,((z \ (1 / u)) * w) * v5) = L(x,y,(w * (z \ u)) * v5). [para(429181(a,1),6295(a,1,3,1,1)),rewrite([6295(6),289137(13),10519(11),1513735(11)])]. 1611839 a(x,(y \ z) * L(y,u,w),v5) = a(x,y * (L(y,u,w) \ z),v5). [para(6306(a,1),816(a,1,2)),rewrite([1547362(4),2332(8)]),flip(a)]. 1613015 (x * (y * z)) / (L(y,u,u) * z) = (L(y,u,u) * z) \ ((y * z) * x). [para(9290(a,1),6343(a,1,1,2)),rewrite([11328(11),833784(11)])]. 1614431 R(x,y,z * (((u * w) \ w) * v5)) = R(x,y,z * ((w \ (u \ w)) * v5)). [hyper(1468,a,6412,a(flip),b,9234,a),rewrite([9238(6)]),flip(a)]. 1614492 R(x,y,((z * u) \ z) * w) = R(x,y,(z \ (u \ z)) * w). [hyper(1468,a,6415,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 1614558 R(x,y,(((z * u) \ z) * w) * v5) = R(x,y,((z \ (u \ z)) * w) * v5). [hyper(1468,a,6416,a(flip),b,9234,a),rewrite([9238(6)]),flip(a)]. 1614580 a(x,y,(L(z,z \ 1,u) * w) * v5) = a(x,y,(L(z,z,u) * w) * v5). [para(3913(a,1),6416(a,1,3,1,1,1)),rewrite([447394(6),1247253(12),174(8),96882(11),95859(11)])]. 1614598 R(x,y,z * a(u,u \ 1,w)) = R(x,y,a(u,u,w) * z). [back_rewrite(1315468),rewrite([1614558(5),1315379(5)])]. 1614600 R(x,y,z * a(u,u,u \ w)) = R(x,y,a(u,u,w) * z). [back_rewrite(1566058),rewrite([1614598(5)]),flip(a)]. 1614610 R(x,y,((z \ (u \ z)) * u) * w) = R(x,y,a(u,u,z) * w). [back_rewrite(1315379),rewrite([1614598(10)])]. 1614612 R(x,y,a(z,z \ 1,u) * w) = R(x,y,a(z,z,u) * w). [back_rewrite(1315377),rewrite([1614600(9)])]. 1614616 R(x,y,(z * (u \ (z \ u))) * w) = R(x,y,a(z,z,u) * w). [back_rewrite(362509),rewrite([1614612(10)])]. 1616383 L(x,L(y,z \ u,z * u),w) = L(x,L(y,z * u,z * u),w). [para(4817(a,2),6480(a,1,2)),rewrite([285393(3),4817(9),255744(8),503953(7)])]. 1618421 a(((x * (y / z)) * u) \ w,v5,v6) = a(((x * (z \ y)) * u) \ w,v5,v6). [para(88486(a,1),6552(a,2,1,1,1)),rewrite([150793(7),21(3),503701(7),9664(13),619746(11)])]. 1618898 L(x,y \ (z * ((u / z) * w)),v5) = L(x,y \ (z * ((z \ u) * w)),v5). [para(6557(a,2),7305(a,1,2,2)),rewrite([6557(4),1299344(10)]),flip(a)]. 1618900 L(x,(y * ((z / y) * u)) \ w,v5) = L(x,(y * ((y \ z) * u)) \ w,v5). [para(6557(a,2),7488(a,1,2,1)),rewrite([6557(4),1305185(10)]),flip(a)]. 1619340 T((x * y) / (z \ y),x * z) = (x * y) / (z \ y). [para(6596(a,1),3981(a,1,2)),rewrite([1859(11),5238(11),253625(11),254103(11),6596(13),300(11)])]. 1619469 a(((x \ y) \ (z * y)) \ (x * z),u,w) = a(z,x,a(y * x,u,w)). [para(6596(a,1),6041(a,1,1)),rewrite([8982(3),774376(3),900(9)]),flip(a)]. 1620932 a(x,y \ L(z * z,u,w),v5) = a(x,y \ (z * z),v5). [para(626(a,1),6688(a,1,2,2)),flip(a)]. 1621030 a(x \ y,z,(x * u) \ (y * u)) = a(y * x,z,x \ y). [hyper(152,a,2743,a(flip),b,6690,a),rewrite([202246(3)]),flip(a)]. 1621667 (a(x,y,z) / L(z,u,w)) \ 1 = a(x,y,z) \ L(z,u,w). [hyper(1832,a,6698,a(flip),b,10176,a),rewrite([299(10),78378(11),1522325(11),879696(10),24(10),375(7),299(8)])]. 1621957 a((x \ y) * z,z,z) = a(x * (y * z),z,z). [para(4821(a,2),12547(a,2,1,2)),rewrite([1256234(4),823(8),1546505(8),98437(8),11506(6),524971(6)])]. 1623574 a(x,y * (z \ ((u / w) * v5)),v6) = a(x,y * (z \ ((w \ u) * v5)),v6). [para(5809(a,1),8638(a,1,2)),rewrite([10810(10),5809(13)])]. 1623803 L(x \ 1,x,y) * ((z * x) \ z) = (x \ 1) * L((z * x) \ z,x,y). [para(9483(a,1),12743(a,2,2)),rewrite([1388319(11),20(9),1554800(9),20(7),8057(7)])]. 1624700 R(x,y * (a(z,u,w) \ v5),v6) = R(x,y * (a(z,u,w) * v5),v6). [hyper(1832,a,8167,a(flip),b,9828,a(flip)),rewrite([8381(4),9828(10),391(6)]),flip(a)]. 1625944 R(x,a(y,z,u) \ w,v5) = R(x,a(y,z,u) * w,v5). [para(8139(a,2),1858(a,1,2)),rewrite([301(6),157754(4),1624700(5),1858(5)]),flip(a)]. 1626372 a(x,y,L(z \ 1,z,u * w) * (u \ w)) = a(x,y,z \ (u \ w)). [hyper(507,a,2031,a,b,10713,a),rewrite([2031(4),901935(7)]),flip(a)]. 1626387 a(x,y,z \ ((u * (w / v5)) * v6)) = a(x,y,z \ ((u * (v5 \ w)) * v6)). [hyper(152,a,2589,a(flip),b,10713,a),rewrite([98229(6),10713(11)]),flip(a)]. 1626550 a(x,y,a(z,u,w) * a(z,u,w)) = 1. [hyper(507,a,7819,a,b,8617,a),rewrite([7819(5),1070736(8)])]. 1627576 a(x,a(y,z,x) * u,y) = a(x,u,y). [hyper(507,a,10481,a(flip),b,8620,a),flip(a)]. 1627613 a(x,y * a(z,u,x),z) = a(x,y,z). [hyper(152,a,397168,a(flip),b,8620,a),flip(a)]. 1627982 a(x,(y \ z) * a(u,u,z),w) = a(x,y \ L(z,u,u),w). [para(9480(a,1),8620(a,1,2)),rewrite([6688(3)]),flip(a)]. 1628036 a(x,y * a(z * u,u,u),w) = a(x,y * a(u,u,z),w). [para(8276(a,1),8620(a,1,2,1)),rewrite([1135368(4),12534(6)]),flip(a)]. 1628125 R(x,y,z * (u \ ((u \ 1) \ w))) = R(x,y,z * L(w,u,u)). [hyper(1468,a,11691,a(flip),b,9234,a),rewrite([9238(4)]),flip(a)]. 1628126 a(x,y,z * L((u \ 1) * w,u,u)) = a(x,y,z * (u \ w)). [para(21(a,1),11691(a,1,3,2,2)),flip(a)]. 1628152 a(x,y,z * L((u * u) \ w,u,u)) = a(x,y,z * (u \ (u \ w))). [para(118989(a,2),11691(a,2,3,2)),rewrite([436116(8),183784(5),11761(8),492(4),118989(10),95877(9)]),flip(a)]. 1628158 a(x,y,z * L(u * w,u,u)) = a(x,y,z * ((u \ 1) \ w)). [para(6839(a,1),11691(a,1,3,2,2)),rewrite([3610(7),10652(7),865(4),3839(5),3264(11),806059(11)]),flip(a)]. 1628192 a(x,y,z * (u * L(w,u,u))) = a(x,y,z * ((u \ 1) \ w)). [back_rewrite(810670),rewrite([1628158(8)])]. 1628246 a(x,y,L((1 / z) * u,z,z) \ w) = a(x,y,(z \ u) \ w). [para(3208(a,1),9454(a,1,3,1,2)),rewrite([3610(5),4650(5),7001(7),492(4)]),flip(a)]. 1628302 a(x,y,z \ (x * (u * a(w,v5,u)))) = a(x,y,z \ (x * L(u,v5,w))). [hyper(152,a,8858,a(flip),b,10840,a),rewrite([8858(9)])]. 1629375 a(x,y,z) * (R(x,u,w) \ 1) = R(x,u,w) \ a(x,y,z). [hyper(2147,a,11918,a)]. 1629866 a(x,y,a(z,x,a(z,u,w) * v5)) = a(x,y,a(z,x,v5 * a(w,u,z))). [para(11315(a,2),9169(a,1,3,1)),rewrite([11315(7),9134(8),7106(8),5217(5),284447(6),1033163(7),19(2),9169(5),8104(9),3266(9)])]. 1630635 L(L(x,y,z) \ 1,u,L(w,v5,x)) = L(L(x,y,z) \ 1,u,w). [para(8893(a,1),6923(a,1,2,1,2)),rewrite([6923(7),3264(10)]),flip(a)]. 1630729 L(L(x,y,z) \ 1,L(x,y,z),z) = (z * x) \ R(z,y,x). [back_rewrite(253983),rewrite([1630635(6)])]. 1632554 R(x,x,y) * R(x,x,z) = x * R(R(x,x,z),x,y). [para(11849(a,1),8540(a,1,2)),flip(a)]. 1632877 L(x,y * z,a(u,y,y)) = L(x,y,a(y,z,u)). [para(10955(a,1),9351(a,1,3,1)),rewrite([1261314(8),10389(9),284791(9),6437(8),751422(7),5788(4),1554800(3),5788(7),1393565(6),1483479(6)])]. 1633833 a(x,y,y) \ a(z,y,a(u,w,y)) = y \ L(L(y,y,a(u,w,z)),y,x). [para(8798(a,1),12269(a,1,2)),rewrite([5242(6)])]. 1634341 L(x,y,L(L(y,y,z),u,w)) = L(x,y,L(y,u,w)). [para(10397(a,1),9341(a,1,2,1)),rewrite([247269(5),2535(5),1400379(5)]),flip(a)]. 1636315 (x \ 1) * ((y \ (y / x)) \ z) = (x * (y \ (y / x))) \ z. [para(492(a,1),8038(a,1,1,1)),rewrite([492(8)])]. 1636480 ((x * (y \ 1)) * y) * y = R(x * y,y,y \ 1). [back_rewrite(393640),rewrite([1636315(7),1533115(5)])]. 1638143 L(L(x,y,a(z,u,w)),u \ 1,z) = L(x,u \ 1,L(z,y,w)). [hyper(507,a,11873,a,b,8930,a),rewrite([11873(4),6919(8)]),flip(a)]. 1638172 L(x,y,L(L(y,z,z),u,w)) = L(x,y,L(y,u,w)). [hyper(152,a,9343,a(flip),b,8930,a),rewrite([8870(2),9241(2),8930(3)]),flip(a)]. 1638173 L(x,y \ (z \ y),L(y,u,w)) = L(x,z \ 1,L(y,u,w)). [hyper(152,a,9338,a(flip),b,8930,a),rewrite([841971(3),6919(4),1638143(5)]),flip(a)]. 1639381 x \ (a(y,y,x \ 1) \ y) = y * ((1 / y) * (x \ y)). [hyper(1832,a,9113,a(flip),b,9072,a),rewrite([299(5),9424(5),5876(9),3262(7)])]. 1640726 L(x,L(y,z,u) * L(w,y,y),v5) = L(x,(L(y,z,u) \ 1) \ w,v5). [para(8265(a,2),2693(a,1,2)),rewrite([2079(4),895092(4),1399074(6),903(9)])]. 1641230 L(x,(L(y \ 1,z,u) \ 1) * w,v5) = L(x,L(y,z,u) * w,v5). [para(8264(a,2),6909(a,2,2)),rewrite([2457(5),1344311(7),8264(8)]),flip(a)]. 1641238 L(x,y,(z * L(u \ 1,w,v5)) * v6) = L(x,y,(z * L(u,w,v5)) * v6). [para(8264(a,2),6295(a,2,3,1)),rewrite([2457(5),289137(8),1611501(6),8264(9),289137(12)]),flip(a)]. 1642312 R(x,y,((z * u) \ 1) * z) = R(x,y,L(u \ 1,z,z)). [para(5885(a,1),11663(a,1,3)),rewrite([3514(5),22(3),20(2),3514(7),22(5),20(4),284426(4),9364(4),69834(10),20(9),1844(9)]),flip(a)]. 1642404 R(x,y,z \ ((z \ u) \ 1)) = R(x,y,L(u \ 1,z,z)). [back_rewrite(1566208),rewrite([1642312(10)])]. 1643045 L(x,(((y \ 1) * z) * y) \ u,w) = L(x,L(z,y,y) \ u,w). [para(11726(a,2),7488(a,1,2,1)),rewrite([11726(4),1618900(6),3866(4),11717(5),622105(9)]),flip(a)]. 1644866 L(x,y \ (y \ (z \ y)),(y \ z) * z) = L(x,(y * z) \ 1,y). [para(3275(a,1),11850(a,1,3,2)),rewrite([5574(4),2801(6),814264(7),6402(6),1192850(6),5574(10),919(12),3264(12),6402(10),9338(10)])]. 1644891 L(x,y \ (y \ (z \ y)),y) = L(x,(y * z) \ 1,y). [para(6047(a,1),11850(a,1,3,2)),rewrite([544999(14),5787(15),10675(12),8303(9),19(8),1180338(10),4175(9),8303(3),19(2),1192967(7),1644866(6),3264(13),4175(11),8303(7),19(6),1192967(9)]),flip(a)]. 1645949 ((1 / x) \ (y / x)) * R(T(1 / x,y),z,u) = y / (a(x,z,u) \ x). [para(11857(a,2),5709(a,1,1)),rewrite([11857(4),485873(10),717716(17),5478(17),1580081(13)])]. 1646144 x / (a(y,z,z) \ y) = a(y,z,z) * (x / y). [back_rewrite(1290699),rewrite([1645949(9)])]. 1646348 R(x,y,z * ((u \ (w \ u)) * w)) = R(x,y,z * a(w,w,u)). [para(11859(a,2),7916(a,1,3,1)),rewrite([11859(5),1315304(5),1614431(8)]),flip(a)]. 1646763 a(x,L(x \ y,y,y),z) = a(x,x \ y,z). [para(5063(a,1),11863(a,1,2)),rewrite([9475(4),249196(8),1639381(7),528255(8),3866(7),1568699(7)]),flip(a)]. 1647045 L(x,L(y,z \ (u \ 1),u),w) = L(x,L(y,u \ (z \ 1),u),w). [para(11863(a,1),9107(a,1,2,1)),rewrite([9107(6)]),flip(a)]. 1650069 L(x,y,a(z,x,u)) * (u * R(u \ (x \ 1),y,z)) = a(x \ u,y,z). [hyper(1468,a,12745,a,b,4464,a),rewrite([4738(6),5242(5),1388382(5),1391641(5),20(2),1388548(3),4738(12)])]. 1650293 x * L(x \ y,z,a(u,w,y)) = L(y,w,a(u,z,x * y)). [hyper(507,a,8806,a(flip),b,12745,a),rewrite([1389250(3),5242(6)]),flip(a)]. 1650404 (x * (a(x,y,L(z,u,w)) \ y)) * z = x * (y * L(z,y,a(x,u,w))). [para(25(a,1),12745(a,2,2,1)),rewrite([13223(7),5237(6),13273(7),332990(5),4930(4),8982(9),19078(10),771131(9)])]. 1650612 L(x * a(x \ y,z,u),w,a(y,y * x,x)) = y * R(y \ x,z,u). [para(12745(a,1),5077(a,1,1)),rewrite([5817(8),13265(8),8520(8),8599(8),8326(6),12749(6),889(7),1504(7),883155(7)])]. 1654350 (x / y) \ L(x,y,z) = a(z,y,x) \ y. [hyper(152,a,8079,a(flip),b,13014,a),flip(a)]. 1658435 a(x \ (y \ x),x * L(y,z,u),u) = a(y,x * y,u). [hyper(152,a,397168,a,b,13241,a),rewrite([1030742(7),5944(5)])]. 1659055 a(x,y,a(z,u,w \ a(w,v5,v6))) = a(z,u,a(x,y,L(w,v5,v6))). [hyper(1468,a,13393,a(flip),b,8796,a),rewrite([1261053(7),13273(6),27655(4),8871(3),8871(2)]),flip(a)]. 1660950 L(x,y,a(z,u,u * x)) = L(x,y,a(u,u,z)). [para(794461(a,1),13527(a,1,2)),rewrite([8982(3),770367(3),13597(3),9235(3),5242(2),871648(8)]),flip(a)]. 1660969 L(x,y,a(z,x,u)) \ z = L(x \ z,y,a(z,x,u)). [para(911757(a,1),13527(a,1,2)),rewrite([8982(3),1462055(3),1295659(3),13597(4),281038(4),1067729(8)])]. 1661016 L(x,y,z) * L(x,u,z) = x * L(L(x,y,z),u,z). [para(13527(a,1),12743(a,2,2)),rewrite([6537(4)])]. 1662747 L(x,y \ (((z \ y) * u) * z),w) = L(x,L(u,z \ y,z),w). [para(296401(a,2),7305(a,1,2)),rewrite([296401(5),1618898(5),5967(4),1298966(8)]),flip(a)]. 1665511 ((x * (y \ 1)) / y) \ ((x * (y \ 1)) * z) = x \ ((x * y) * z). [hyper(152,a,11130,a,b,393458,a),rewrite([6296(7),196747(5),8300(4),4676(11),1117793(9),950509(8)]),flip(a)]. 1665847 a(x,y,L(L(x \ 1,x,z) \ u,x,z)) = a(x,y,z \ ((z * x) * u)). [para(393458(a,1),8834(a,1,3)),rewrite([1665511(11),3266(6),6296(13),196747(11),8300(10),9855(14),3266(12)]),flip(a)]. 1680198 R(x,y,a(z,u,w) * a(z,u,w)) = x. [hyper(1832,a,1626550,a(flip),b,9234,a),rewrite([375(6)])]. 1680333 L(x,y * a(x,z,u),u) = L(x,y,u). [hyper(1832,a,1627613,a(flip),b,9237,a),rewrite([299(2),9236(2)]),flip(a)]. 1680510 a(x,a(y,z,a(u,w,x)) * v5,u) = a(x,v5 * a(u,w,L(x,z,y)),u). [para(10479(a,1),1627613(a,1,2)),rewrite([753945(5)]),flip(a)]. 1680545 R(x,y,z * (L(L(z,u,w),u,w) \ v5)) = R(x,y,v5). [hyper(152,a,5802,a,b,1680198,a),rewrite([1262216(6),1262216(11),28(12)])]. 1680903 L(x,(y * z) * x,y) = L(x,y * (z * x),y). [para(2206(a,1),1680333(a,1,2)),rewrite([8632(4),3514(3)]),flip(a)]. 1690473 a(x \ (y \ (a(y,z,u) \ x)),w,v5) = a(y,w,L(L(v5,y,x),z,u)). [para(5115(a,1),6811(a,1,1,2,2,1)),rewrite([9469(3),10571(9),11682(9),9666(9),1629375(13),248086(11),13265(12),9855(12),3266(10),13265(8)])]. 1692560 L(x,y,((z \ (u * u)) \ w) * v5) = L(x,y,(z \ w) * v5). [para(3398(a,1),6913(a,1,3,1,1)),rewrite([5728(3),289091(5),289156(10)]),flip(a)]. 1692612 L(x,y,(L(z * u,z,u) \ w) * v5) = L(x,y,((z \ u) \ w) * v5). [para(685457(a,2),6913(a,2,3,1,1)),rewrite([6913(6),1692560(6),6913(4),1249488(9)]),flip(a)]. 1692613 L(x,y,((z \ (1 / u)) \ w) * v5) = L(x,y,((z \ u) \ w) * v5). [para(1122416(a,2),6913(a,2,3,1,1)),rewrite([6913(8),289156(8),6913(6),1249488(11),1692612(11)])]. 1695219 a(x,y,(((z * u) \ u) \ w) \ v5) = a(x,y,((u \ (u / z)) \ w) \ v5). [para(6375(a,1),7001(a,1,3,1,1)),rewrite([7001(5),1084706(11)]),flip(a)]. 1695227 a(x,y,(((z / u) \ w) \ v5) * v6) = a(x,y,(((u \ z) \ w) \ v5) * v6). [para(5624(a,1),7001(a,1,3)),rewrite([810(6),6051(13),637899(13),5624(15),810(11)])]. 1695306 a(x,y,z * L(u,w \ 1,v5)) = a(x,y,L(u,w,v5) * z). [para(5497(a,1),7008(a,1,3,2,1)),rewrite([443247(15),1038868(10),4450(8),7152(6),8303(10),7107(10),22(7)]),flip(a)]. 1697458 a(x \ (a(y,z,u \ 1) * w),v5,v6) = a(x \ (a(u,z,y) * w),v5,v6). [para(3266(a,1),10270(a,1,1,2,1)),flip(a)]. 1697815 a(x,x,a(y,z,u \ w)) = a(x,x,a(y,z,u * w)). [hyper(507,a,11616,a,b,8957,a),rewrite([11616(7),1579673(7),520722(9),1220247(8)])]. 1697836 a(x,y,a(z,x,u \ w)) = a(x,y,a(z,x,u * w)). [hyper(152,a,8808,a,b,8957,a),flip(a)]. 1698253 a(x * (y \ z),u,a(u,w,y)) = a(u,w,a(y,u,x * z)). [back_rewrite(1390065),rewrite([1697836(7)])]. 1698695 R(x,y,(L(1 / z,u,w) \ 1) * v5) = R(x,y,v5 * (a(z,u,w) \ z)). [para(8247(a,1),2918(a,1,3,1)),rewrite([843378(4),1541672(11)]),flip(a)]. 1699204 a(x,a(y,z,u),L(w,x,L(y,z,u))) = a(x,a(y,z,u),w). [hyper(1832,a,9337,a,b,8557,a(flip)),rewrite([5238(3),9237(4),5238(5),9237(6),789284(6),20(5),8871(5),299(6),8866(6),8157(4),19(4),8871(4)])]. 1699412 L(x,y,a(z,u \ w,u * w)) = L(x,y,a(z,u * w,u * w)). [para(4817(a,1),9337(a,1,3)),rewrite([1400497(6),9337(6),503873(9),1478740(8)]),flip(a)]. 1699754 L(x,y,a(z,u \ w,u \ w)) = L(x,y,a(z,u * w,u * w)). [back_rewrite(1478740),rewrite([1699412(8)])]. 1700179 a(x,y,z \ (x * a(u,w,v5 \ 1))) = a(x,y,z \ (x * a(u,w,v5))). [hyper(152,a,8858,a(flip),b,9861,a),rewrite([8858(10)])]. 1701067 L(x,y \ (a(z,u,w) \ v5),v6) = L(x,y \ (a(z,u,w) * v5),v6). [hyper(1832,a,8382,a(flip),b,9237,a),rewrite([299(5),9236(5)]),flip(a)]. 1701122 a(x,y \ (z * (u * a(w,u,u))),v5) = a(x,y \ (z * L(u,u,w)),v5). [para(11847(a,1),8382(a,2,2,2)),rewrite([9863(3),8049(3)]),flip(a)]. 1701314 L(x,a(y,z,u) * ((u * L(u,z,y)) \ w),v5) = L(x,(u * u) \ w,v5). [para(13534(a,1),8380(a,1,2)),flip(a)]. 1701575 a(x,y,a(z * u,u,u) * w) = a(x,y,w * a(u,u,z)). [para(8276(a,1),8195(a,2,3,2)),rewrite([12534(3),1106633(8)])]. 1701662 a(x,y \ 1,y) * (z \ ((x \ (x / y)) * y)) = z \ 1. [para(9668(a,1),8131(a,2,2,2)),rewrite([20(8),1043042(8)]),flip(a)]. 1702101 L(x,y * (z * L(L(u,w,v5),w,v5)),v6) = L(x,y * (z * u),v6). [para(7385(a,1),10386(a,2,2,2)),rewrite([9863(5),246818(4),8586(5),29(4),9622(4)])]. 1702108 L(x,((y \ z) * a(y,y,u)) * w,v5) = L(x,w * (R(y,y,u) \ z),v5). [para(10955(a,1),10386(a,1,2,2)),rewrite([697303(5),1304556(10)]),flip(a)]. 1702278 a(x,y * (z * (L(L(z,u,w),u,w) \ v5)),v6) = a(x,y * v5,v6). [para(21(a,1),8381(a,1,2,2)),rewrite([8564(6)]),flip(a)]. 1702318 a(x,y * (z * L(L(u,w,v5),w,v5)),v6) = a(x,y * (z * u),v6). [para(7385(a,1),8381(a,2,2,2)),rewrite([9863(5),246818(4),8586(5),29(4),9622(4)])]. 1704396 T(x / R(T(y,z),u,w),y) \ v5 = K(y,z) * ((R(y,u,w) \ x) \ v5). [para(32(a,1),10119(a,1,1,1,2)),rewrite([12603(5),12612(7)])]. 1705433 R(x,y,(R(T(z,u),w,v5) \ v6) \ v7) = R(x,y,(R(z,w,v5) \ v6) \ v7). [para(10087(a,1),7326(a,1,3,1)),rewrite([287201(9),1704396(10),1839(11)])]. 1705602 R(x,y,(L(T(z,u),w,v5) \ v6) * v7) = R(x,y,(L(z,w,v5) \ v6) * v7). [para(10345(a,1),1840(a,2,3,1)),rewrite([763(6),97380(7),1842(5),1844(4),1844(9)]),flip(a)]. 1705657 R(x,y,z * (L(T(u,w),v5,v6) \ v7)) = R(x,y,(L(u,v5,v6) \ v7) * z). [para(10345(a,1),7916(a,1,3,1)),rewrite([1844(5),1705602(5),7917(10),1484(8)]),flip(a)]. 1707710 L(x,(y * R(z,u,w)) * v5,v6) = L(x,(y * L(z,u,w)) * v5,v6). [para(10919(a,1),7676(a,1,2,1)),rewrite([928(5),12624(6),1304555(10),275(7)])]. 1707727 L(x,(y * L(z,y,y)) * u,w) = L(x,u * L(z * y,y,y),w). [back_rewrite(1556972),rewrite([1707710(4)])]. 1709163 (x \ 1) * (a(y,z,u) * (x \ 1)) = (x \ a(y,z,u)) / x. [para(7776(a,1),4472(a,2,1)),rewrite([1661016(10),8506(9),24993(6),8553(14),327677(10),7042(7),1121054(14),20(12)])]. 1709487 a(x,y,L(L(1 / z,u,w) * v5,z,z)) = a(x,y,L(z,u,w) \ v5). [para(10495(a,2),11428(a,2,3,1)),rewrite([2535(11),7684(11),4628(11),4179(9),7298(9),561424(9),9200(8),20(6),772785(6),10495(13),620136(13),1538029(13)])]. 1709796 R(x,x,x \ (y * z)) = R(x,x,y * (x \ z)). [hyper(1468,a,13629,a(flip),b,9234,a),rewrite([9238(4)]),flip(a)]. 1714025 L(x,L(y,y * z,y * z),u) = L(x,((y \ z) \ 1) * z,u). [para(9877(a,2),8622(a,2,2)),rewrite([3264(13),919(11),903(11),244855(11),1616383(10),1394416(10),1394415(6),22(2),9877(9),637899(9),1394461(9)])]. 1714080 L(x,L(L(y,z,u) * w,y,y),v5) = L(x,(y \ a(u,z,y)) \ w,v5). [para(13456(a,1),8623(a,1,2,1,1)),rewrite([919(7),250154(7),881(6),561446(6),11277(6),903(8)])]. 1715304 ((1 / x) \ a(y,z,u)) * (x \ w) = (x \ a(y,z,u)) * ((x \ 1) \ w). [para(8851(a,1),5931(a,2,1)),rewrite([11799(8),13307(6),9855(6),1411120(5),543847(3)])]. 1715497 a(x,y,L(z,u * a(z,w,L(v5,v6,x)),v5)) = a(x,y,L(z,u,v5)). [para(1680333(a,1),8861(a,1,3)),rewrite([8861(3),8870(4)]),flip(a)]. 1717848 L(x,(y * L(z,y,y)) * u,w) = L(x,((y \ 1) \ z) * u,w). [para(9218(a,1),10386(a,2,2)),rewrite([556625(4),902(9)])]. 1717849 a(x,L(y * z,z,z) * u,w) = a(x,((z \ 1) \ y) * u,w). [para(9218(a,1),8381(a,2,2)),rewrite([556625(4),1562972(4),152151(9)])]. 1717854 L(x,y * L(z * u,u,u),w) = L(x,((u \ 1) \ z) * y,w). [back_rewrite(1707727),rewrite([1717848(4)]),flip(a)]. 1717856 a(x,y * (z * L(u,z,z)),w) = a(x,((z \ 1) \ u) * y,w). [back_rewrite(1563054),rewrite([1717849(4)]),flip(a)]. 1717857 a(x,(y * L(z,y,y)) * u,w) = a(x,((y \ 1) \ z) * u,w). [back_rewrite(1562972),rewrite([1717849(8)])]. 1717870 a(x,L(y * z,y,y) * u,w) = a(x,((y \ 1) \ z) * u,w). [back_rewrite(1517882),rewrite([1717856(8)])]. 1718287 a(x,y,z \ ((z * x) * u)) = a(x,y,z \ (x * (z * u))). [para(393458(a,1),9281(a,2,3)),rewrite([1479043(11),6213(11),9442(8),1665847(6),910(10),3266(10),8858(8)])]. 1718813 L(x,(y \ 1) \ z,a(u,w,v5)) = L(x,y \ z,a(v5,w,u)). [hyper(8155,a,9363,a),rewrite([1295805(6),556431(4)])]. 1718870 L(x,(L(y,z,u) \ 1) \ w,v5) = L(x,L(y \ 1,z,u) \ w,v5). [para(2457(a,2),9363(a,1,2,1)),rewrite([2457(5),7684(12),4628(12),7298(10),561424(10),12360(10),1344311(8),1640726(4),152269(10)])]. 1718884 L(x,(R(y,z,u) \ 1) \ w,v5) = L(x,L(y \ 1,z,u) \ w,v5). [para(2706(a,1),9363(a,1,2,1)),rewrite([3264(12),2535(10),4175(10),11459(10),561424(10),12360(10),8633(8),215507(8),1640726(4),1718870(5)]),flip(a)]. 1719184 (x / y) \ (x * a(y,z,u)) = R(y,z,L(u,y,x)). [hyper(507,a,5226,a,b,9372,a),rewrite([11068(3),8055(3),11068(6),519413(6),13516(5)]),flip(a)]. 1719364 (a(x,x,y) / x) \ (y * z) = x \ ((x * (x * y)) * z). [para(5064(a,2),9372(a,1,1)),rewrite([13264(9),245691(8),927154(9)])]. 1719961 (x * (L(x,y,z) \ u)) \ 1 = L(x,y,z) * (x \ (u \ 1)). [hyper(152,a,9035,a,b,9380,a),rewrite([81725(3),20(2),13192(3)])]. 1720171 L(x,y,z) * (x \ (u * (x \ 1))) = u * (x \ (a(z,y,x) \ 1)). [para(5499(a,2),9380(a,2,2)),rewrite([12548(4),19(2),13299(3),1391024(6),6569(4),5499(13)]),flip(a)]. 1720558 x * (L(x,y,z) \ L(z,u,w)) = L(z,u,w) * a(z,y,x). [para(8867(a,1),9422(a,1,2)),flip(a)]. 1720716 L(x,y,z) * a(x,u,z) = L(R(x,u,z),y,z). [back_rewrite(254736),rewrite([1720558(4)])]. 1720917 (x \ y) * a(y,z,L(u,y,x)) = R(y,z,u) * (y \ (x \ y)). [para(9359(a,1),9425(a,1,2,3)),rewrite([13244(4)])]. 1723591 a(((x * y) * a(y,z,u)) \ x,w,v5) = a(y,w,L(L(v5,y,x),z,u)). [para(9516(a,1),4856(a,2,1,2)),rewrite([829703(3),1690473(10)])]. 1724148 L(x,y,a(z,u,y * x)) = L(x,u,a(z,y,y)). [hyper(1465,a,9236,a(flip),b,9547,a),rewrite([1410663(6),97527(9),8982(9),1432160(9),771637(6),9238(6),5242(5)])]. 1724714 a(x * (y * a(z,u,u)),w,a(v5,v6,v6)) = a(v5,w,a(v6,v6,x * y)). [para(9553(a,1),8808(a,1,3)),flip(a)]. 1724804 R(x,x,y * (a(z,u,u) * w)) = R(x,x,y * w). [hyper(1468,a,9555,a(flip),b,9234,a),rewrite([9238(3)]),flip(a)]. 1724919 R(x,x,y * (z * a(u,u,w))) = R(x,x,y * z). [hyper(1468,a,9559,a(flip),b,9234,a),rewrite([9238(3)]),flip(a)]. 1725441 (x \ 1) * a(y,z \ 1,z) = x \ a(y,z \ 1,z). [hyper(1467,a,9687,a,b,3122,a),rewrite([9687(8),1043042(8),303(8)])]. 1731873 (a(x,x,y) \ z) \ (z * u) = z \ ((a(x,x,y) * z) * u). [hyper(1465,a,12499,a,b,385114,a),rewrite([5279(3),379(1),5279(5),379(3),21(4)]),flip(a)]. 1749393 (x / L(y,z,z)) \ a(z,z,y) = (x / y) \ 1. [hyper(1468,a,11320,a,b,36513,a),rewrite([5817(6),2532(6),11320(7),1549632(6),22(5),1549386(9)]),flip(a)]. 1749822 L(x,(y \ z) * a(y,u,u),w) = L(x,L(y,u,u) \ z,w). [para(36513(a,1),8598(a,2,2)),rewrite([1701067(6),8598(6),4936(3),4175(7)])]. 1749849 a(x,y,(L(z,u,u) \ 1) \ w) = a(x,y,L(z \ 1,u,u) \ w). [para(36513(a,1),11202(a,1,3,2)),rewrite([10837(5),1523966(5),853320(10),7292(10)])]. 1749925 a(x,y,a(z,z,u) * ((u \ 1) \ w)) = a(x,y,L(u \ 1,z,z) \ w). [back_rewrite(1537951),rewrite([1749849(11)])]. 1751547 (x \ (y \ L(y,z,u))) \ L(y,z,u) = (x \ 1) \ y. [para(7056(a,1),741(a,1,2)),rewrite([333447(7),372(4),503(6),7056(8)]),flip(a)]. 1751730 (x \ a(y,z,u)) \ R(y,z,u) = (x \ 1) \ y. [para(7056(a,1),9984(a,2,1)),rewrite([34(5),34(8),645582(9),904515(5),1751547(9)])]. 1753072 ((x \ y) \ y) \ (L(x \ y,z,u) \ w) = x \ (L(y / x,z,u) \ w). [hyper(1465,a,7075,a(flip),b,3466,a),flip(a)]. 1753087 R(x,y,L(z / u,w,v5) \ v6) = R(x,y,L(u \ z,w,v5) \ v6). [para(7075(a,1),1839(a,1,3))]. 1753121 L(x,y \ (L(z / u,w,v5) \ v6),v7) = L(x,y \ (L(u \ z,w,v5) \ v6),v7). [para(7075(a,1),7301(a,1,2,2))]. 1754941 L(((x \ y) / y) * x,z,z) = ((x \ y) / y) * x. [hyper(6259,a,18426,a,b,7181,a),rewrite([5336(8),375(6),19(5),334522(4),797072(13),108267(15),865(7),14620(10)]),flip(a)]. 1755134 T(x * (((y \ z) / z) * y),u) / x = ((y \ z) / z) * (y * K(x,u)). [hyper(507,a,3061,a,b,7181,a),rewrite([1202740(5),7131(9),5329(9),372(6),378(7),682(11)])]. 1755273 ((L(T(x,y),z,u) \ w) / w) * L(x,z,u) = ((T(x,y) \ w) / w) * x. [hyper(1466,a,7181,a(flip),b,6725,a(flip)),rewrite([1371245(8),1202761(6),1202740(5),1755134(6),1202936(5)]),flip(a)]. 1755580 x * T((x \ 1) / y,x \ 1) = (x / y) * (x \ 1). [hyper(1467,a,5499,a,b,7194,a),rewrite([487415(5),123226(11)])]. 1757332 ((x * y) * a(z,u,w)) * ((x * y) \ x) = y * ((y \ x) * a(z,u,w)). [para(6154(a,2),7253(a,2,2)),rewrite([13139(6),8871(3),1344574(4),6154(12)]),flip(a)]. 1757341 (x \ 1) * (((x \ 1) \ y) * a(z,u,w)) = x * (a(z,u,w) * (x \ y)). [para(7794(a,1),7253(a,1,1)),rewrite([5265(10),639139(11),1757332(10),5265(14),1200849(20),13139(18),3264(15),846570(13),8871(11),9200(11),66062(12)])]. 1757839 (L(x \ 1,y,z) * u) \ L(x \ 1,y,z) = (L(x,y,z) * u) \ L(x,y,z). [para(8965(a,1),7290(a,2,1,1)),rewrite([248860(4),248860(7),13517(6),9238(2),9238(4),7290(4),8965(12),1363664(12)]),flip(a)]. 1757908 L(x,L(R(y,z,u) \ w,v5,v6),v7) = L(x,L(L(y,z,u) \ w,v5,v6),v7). [para(7292(a,1),10647(a,1,2,2)),rewrite([1072669(7),10647(7)]),flip(a)]. 1757975 R(x,y,z \ (R(u,w,v5) \ v6)) = R(x,y,z \ (L(u,w,v5) \ v6)). [hyper(1468,a,7294,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 1757976 a(x,y,z \ (L(u,w,v5) \ (R(u,w,v5) * v6))) = a(x,y,z \ v6). [para(21(a,1),7294(a,1,3,2)),flip(a)]. 1758023 R(x,y,y \ (L(y \ 1,z,u) \ w)) = R(x,y,y * (L(y,z,u) \ w)). [back_rewrite(1297983),rewrite([1757975(6)])]. 1758201 L(x,y \ ((((z \ u) \ u) * w) * v5),v6) = L(x,y \ (v5 * (w * z)),v6). [para(5670(a,2),7302(a,1,2,2,1)),rewrite([1299236(6)]),flip(a)]. 1758345 L(x,y \ (z * (u * (w / v5))),v6) = L(x,y \ (z * (u * (v5 \ w))),v6). [para(7921(a,1),7303(a,1,2,2,1,1)),rewrite([1758201(7),1758201(12)]),flip(a)]. 1758384 L(x,y \ (z * ((u / w) * v5)),v6) = L(x,y \ (z * ((w \ u) * v5)),v6). [para(6340(a,1),7304(a,2,2,2)),rewrite([1758345(8),7304(8),3514(5)]),flip(a)]. 1758422 L(x,L(y,z * y,z * y),u) = L(x,((y \ z) \ 1) * z,u). [para(5814(a,2),7306(a,1,2)),rewrite([29(2),2073(2),976(2,R),327090(5),6909(7),99579(7),1714025(8)])]. 1758523 L(x,(y * a(z,z,u)) \ L((z \ y) * y,z,u),w) = L(x,z \ y,w). [para(769581(a,1),7306(a,2,2)),rewrite([520666(6),11567(7)])]. 1758648 L(x,(y * (z \ u)) \ (z \ (y * u)),w) = L(x,a(z,z \ u,y),w). [para(24(a,1),7307(a,1,2,2,2,2)),rewrite([12300(6),818(8)])]. 1759286 R(x,y,z * (u * ((w * w) \ (z \ (w * w))))) = R(x,y,L(u,z,z)). [para(31353(a,1),7327(a,1,3,1)),rewrite([1104(10),2299(10),1842(10),8426(12),1410561(11)])]. 1759359 R(x,y,L(z,u \ (w * w),u)) = R(x,y,L(z,u,u)). [para(37509(a,2),7327(a,2,3)),rewrite([1510341(8),362551(9),479740(9),1138286(7),5876(5),1541278(7),1759286(7),37509(8)]),flip(a)]. 1759394 R(x,y,(z * a(u,u,w)) \ L((u \ z) * z,u,w)) = R(x,y,u \ z). [para(769581(a,1),7327(a,2,3)),rewrite([520666(6),7545(7)])]. 1759497 R(x,y,L(z,(u * u) \ w,w)) = R(x,y,L(z,w,w)). [back_rewrite(1316390),rewrite([1759359(8)])]. 1763174 L(x,y,z) * R(x,y,z) = x * L(R(x,y,z),y,z). [hyper(1832,a,501821,a(flip),b,7482,a(flip)),rewrite([8871(3),6496(2),8982(7),6494(6),383(6),373(6),1434080(6),4971(7),1720716(6)])]. 1763491 L(x,(y \ ((z / u) \ w)) \ v5,v6) = L(x,(y \ ((u \ z) \ w)) \ v5,v6). [para(68759(a,1),10643(a,2,2,1,2)),rewrite([762(6),152234(9),10643(6),1305289(6),1305289(12)])]. 1763763 L(x,y * (z \ (u \ (w / v5))),v6) = L(x,y * (z \ (u \ (v5 \ w))),v6). [para(5809(a,1),12283(a,1,2)),rewrite([10812(10),5809(13)])]. 1763789 L(x,(y \ (z \ (u / w))) * v5,v6) = L(x,(y \ (z \ (w \ u))) * v5,v6). [para(6703(a,1),12283(a,1,2)),rewrite([883(7),6909(5),2009(10),6703(13),883(12),6909(10)])]. 1764110 L(x,y * (((z \ T(u,w)) \ u) * v5),v6) = L(x,y * (z * v5),v6). [para(11026(a,1),12045(a,1,2,2,1)),rewrite([763(9),99744(11)])]. 1764177 L(x,y * (z \ ((u * w) \ w)),v5) = L(x,y * (z \ (w \ (u \ w))),v5). [para(6375(a,1),11160(a,1,2,2,2)),rewrite([11160(5),1763763(5),1298357(11)]),flip(a)]. 1764182 L(x,y * (z \ ((u * (w / u)) \ u)),v5) = L(x,y * (z \ (w \ u)),v5). [para(4149(a,1),11160(a,2,2,2,2)),rewrite([11160(6),1763763(12),492(8)])]. 1764232 L(x,y * (((z * u) \ u) \ w),v5) = L(x,y * ((u \ (u / z)) \ w),v5). [para(6375(a,1),11037(a,1,2,2,1)),rewrite([11037(5),1084705(11)]),flip(a)]. 1764758 a(x,y \ (z \ ((u / w) \ v5)),v6) = a(x,y \ (z \ ((w \ u) \ v5)),v6). [para(68759(a,1),10575(a,2,2,2,2)),rewrite([762(6),288346(9),10575(6),1469461(6),1469461(12)])]. 1764910 a(x,y * (z \ (u * (w / v5))),v6) = a(x,y * (z \ (u * (v5 \ w))),v6). [para(5809(a,1),10574(a,1,2)),rewrite([1422537(10),5809(13)])]. 1765051 a(x,y \ (z \ (u * (w * w))),v5) = a(x,(w * w) * (y \ (z \ u)),v5). [para(4952(a,1),10710(a,1,2,2,2)),rewrite([97584(10)])]. 1765207 L(x,y,z) * L(u,x,a(w,v5,x)) = L(L(x,y,z) * u,x,a(w,v5,x)). [hyper(507,a,11277,a,b,8106,a),rewrite([11277(8),1400210(6),1400210(9)]),flip(a)]. 1765947 R(x,y,L((z / u) \ w,v5,v6)) = R(x,y,L((u \ z) \ w,v5,v6)). [para(9236(a,1),11175(a,1,3)),rewrite([910(7),9236(10)])]. 1765960 R(x,y,z \ (((u * w) \ w) \ v5)) = R(x,y,z \ ((w \ (w / u)) \ v5)). [para(6375(a,1),11175(a,1,3,2,1)),rewrite([11175(5),1404084(11)]),flip(a)]. 1766714 a(x,y,L(T(z,u) \ w,v5,v6) \ v7) = a(x,y,L(z \ w,v5,v6) \ v7). [para(68261(a,1),9676(a,1,3,1,1)),rewrite([11031(5),815(6)]),flip(a)]. 1767128 R(x,y,z * ((u \ (w / v5)) * v6)) = R(x,y,z * ((u \ (v5 \ w)) * v6)). [para(6703(a,1),10529(a,1,3,2)),rewrite([6388(7),11664(5),921(9),6703(11),6388(12),11664(10)])]. 1767138 a(x,y,L(z \ 1,z,z * u) \ w) = a(x,y,L(z \ 1,z,u) \ w). [para(13774(a,1),10149(a,2,3,1,2)),rewrite([14(4),5873(8),21(7),45872(4),5873(13),1062187(13),5292(9),1766714(14)])]. 1767418 a(x,y,((z \ ((u \ w) \ w)) \ v5) * v6) = a(x,y,((z \ u) \ v5) * v6). [para(5667(a,1),12316(a,2,3,1,1)),rewrite([12316(6),443248(6)]),flip(a)]. 1767893 a(x,y,L(z,u,w * v5)) * u = u * a(x,y,L(z,u,v5 * w)). [para(8809(a,1),8379(a,1,2,1)),rewrite([13597(5),761412(5),1218928(6),8871(7)]),flip(a)]. 1768408 a(x,y,z \ ((u * (w / v5)) \ v6)) = a(x,y,z \ ((u * (v5 \ w)) \ v6)). [para(11361(a,1),10713(a,1,3,1)),rewrite([901935(6),978636(11),1626372(11)]),flip(a)]. 1768517 L(x,y,(z * L(u,w,w * u)) * v5) = L(x,y,(L(u,w,w) * z) * v5). [para(5608(a,1),9785(a,1,3,2,1)),rewrite([622087(7),1215600(7),1180388(5),1559947(10)]),flip(a)]. 1768638 L(x,y,(z * (u \ (w / v5))) \ v6) = L(x,y,(z * (u \ (v5 \ w))) \ v6). [para(5809(a,1),10800(a,1,3,1)),rewrite([2006(9),5809(11)])]. 1768641 L(x,y,((z \ (u / w)) \ v5) * v6) = L(x,y,((z \ (w \ u)) \ v5) * v6). [para(5624(a,1),10800(a,1,3)),rewrite([5787(6),921(13),10643(13),5624(15),5787(11)])]. 1768681 L(x,y,((z \ (u / w)) * v5) \ v6) = L(x,y,((z \ (w \ u)) * v5) \ v6). [para(6703(a,1),10800(a,1,3,1)),rewrite([5790(7),9781(5),921(9),6703(11),5790(12),9781(10)])]. 1768706 L(x,y,((z \ (u \ 1)) \ w) * v5) = L(x,y,((z \ u) \ w) * v5). [back_rewrite(1692613),rewrite([1768641(6)])]. 1768763 L(x,y,(z * (u \ (w / v5))) * v6) = L(x,y,(z * (u \ (v5 \ w))) * v6). [para(5809(a,1),7497(a,1,3,1)),rewrite([2006(9),5809(11)])]. 1768771 L(x,y,((z \ (u / w)) * v5) * v6) = L(x,y,((z \ (w \ u)) * v5) * v6). [para(7497(a,1),3527(a,1,3,2)),rewrite([7297(10),1768681(12),3527(12)]),flip(a)]. 1768805 L(x,y,((z \ (u \ 1)) * w) * v5) = L(x,y,(w * (z \ u)) * v5). [back_rewrite(1611525),rewrite([1768771(6)])]. 1769791 L(x,y,a(z,(u \ 1) * w,v5)) = L(x,u * w,a(z,y,v5)). [hyper(8741,a,9938,a),rewrite([10005(3),1295805(10)])]. 1769792 a(x,(y \ 1) * z,a(u,w,v5)) = a(u,y * z,a(x,w,v5)). [hyper(6259,a,9938,a,b,10835,a),rewrite([303(6),9938(9),1295805(10),8947(9)])]. 1769807 L(a(x,y,z) \ 1,(u \ 1) * w,v5) = L(a(x,y,z) \ 1,u * w,v5). [hyper(507,a,8796,a,b,9938,a),rewrite([1769792(6),771471(5),9938(11)]),flip(a)]. 1769838 L(x,L(y,z,u) \ L(w,y,y),v5) = L(x,(L(y,z,u) \ 1) * w,v5). [hyper(152,a,4175,a,b,9938,a),rewrite([1400379(4),8592(4),4175(4)])]. 1770320 a(x,y,(z * u) \ L(z,w,u)) = a(x,y,z \ (u \ L(z,w,u))). [para(9342(a,1),10013(a,2,3,2)),rewrite([4179(5),8568(6),1630729(5),2520(4)])]. 1773910 L(x,y,a(z,L(u,u \ w,w),v5)) = L(x,w * (u \ w),a(z,y,v5)). [para(10475(a,2),6919(a,1,3,2)),rewrite([10475(5),11682(5),879423(5),1769791(6)]),flip(a)]. 1778421 R(x,y,L(L(z * u,w,v5),z,z)) = R(x,y,L((z \ 1) \ u,w,v5)). [para(5446(a,2),10921(a,1,3,2)),rewrite([5446(9),5389(6),21(4)]),flip(a)]. 1782874 a(x,(y \ 1) \ z,a(u,w,v5)) = a(x,y \ z,a(v5,w,u)). [hyper(507,a,8947,a,b,11193,a),rewrite([1718813(5),8947(4),11193(7)]),flip(a)]. 1782991 L(a(x,y,z) \ 1,(u \ 1) \ w,v5) = L(a(x,y,z) \ 1,u \ w,v5). [para(11193(a,1),8796(a,1,2)),rewrite([1782874(6),771531(5),12096(11)]),flip(a)]. 1783181 R(x,y,L(z * (u \ 1),z,u)) = R(x,y,(z \ 1) \ (u \ 1)). [para(5508(a,2),11197(a,1,3,1)),rewrite([5508(6),3264(8),883(6),362317(6),592398(12)])]. 1783302 R(x,y,L((1 / z) * u,u,z)) = R(x,y,(u \ 1) \ (z \ 1)). [para(12443(a,2),11197(a,1,3,1)),rewrite([12443(5),3264(10),878(8),22(7),1296177(7),1584288(4),5849(3),1459517(13),22(7)])]. 1784598 a(x,y \ (y \ z),a(u,w,v5)) = a(u,L(z,y,y),a(v5,w,x)). [hyper(8756,a,11425,a),rewrite([1782874(6)])]. 1796100 a(x,(y * L(L(y,z,u),z,u)) * w,v5) = a(x,(y * y) * w,v5). [para(172654(a,2),2508(a,1,2,2)),rewrite([172654(5),5945(7),528486(7),528113(6),5947(5),1661016(3),5945(12),797216(12),528541(12),1087531(9),113358(9),1702318(11),134842(9)])]. 1796112 a(x,(y * L(R(T(y,z),u,w),u,w)) * v5,v6) = a(x,(y * y) * v5,v6). [para(172654(a,1),5947(a,1,2,1)),rewrite([528194(7),528113(7),528113(6),5947(5),1661016(3),1796100(5),1763174(8),2331(10)]),flip(a)]. 1811060 R(x,y,z \ L(R(u,w,v5),v6,v7)) = R(x,y,z \ L(L(u,w,v5),v6,v7)). [para(35(a,1),7545(a,2,3,2)),rewrite([34(2)])]. 1811067 R(x,y,(z * z) \ L(u,w,v5)) = R(x,y,L((z * z) \ u,w,v5)). [para(3395(a,2),7545(a,1,3)),rewrite([3395(5),5159(3),7328(4)]),flip(a)]. 1811072 R(x,y,L(z * ((z \ 1) \ u),w,v5)) = R(x,y,(z * z) * L(u,w,v5)). [para(5848(a,1),7545(a,1,3)),rewrite([557358(5),7328(6),5848(11),450885(12)])]. 1811181 R(x,y,(z * z) * L(u,w,v5)) = R(x,y,L((z * z) * u,w,v5)). [para(2797(a,2),7547(a,1,3)),rewrite([2797(5),5164(3),7328(4)]),flip(a)]. 1811223 R(x,y,L(z * ((z \ 1) \ u),w,v5)) = R(x,y,L((z * z) * u,w,v5)). [back_rewrite(1811072),rewrite([1811181(10)])]. 1811370 a(((L(x,y,y) * y) * z) * u,w,v5) = a(u * (z * (y \ x)),w,v5). [para(5712(a,2),7555(a,2,1,1,1)),rewrite([1545445(7),612731(6),5712(9)]),flip(a)]. 1812386 a(x,y,(L(z,u,w) \ 1) \ v5) = a(x,y,L(z \ 1,u,w) \ v5). [para(7626(a,2),1487(a,1,3,1)),rewrite([232124(6),909(8),923(6),784(7),620136(5),620136(14),1537940(14)])]. 1812412 L(x,(L(y,z,u) \ 1) * w,v5) = L(x,L(y \ 1,z,u) * w,v5). [para(7626(a,2),9938(a,1,2)),rewrite([2535(11),4628(11),4628(9),4179(7),99869(7),1400379(3),8592(3),7626(7),4175(8),11880(8),1769838(4),1072669(14),1641230(14)])]. 1814018 a(x,y,z * L((u \ K(w,v5)) * v6,u,u)) = a(x,y,z * (u \ v6)). [para(7661(a,1),792(a,2,3,2)),rewrite([676(7),11877(7),14620(7),1628126(12)])]. 1818026 a(x,y \ ((z \ (u / w)) \ y),v5) = a(x,y \ ((z \ (w \ u)) \ y),v5). [para(7859(a,1),11192(a,1,2,1)),rewrite([819(8),11192(5),923(15),68816(14),1742(10),18521(10),234324(11),816(12)])]. 1819269 L(x,(y * y) \ z,z) = L(x,y \ (y \ z),z). [para(3508(a,1),7892(a,2,2)),rewrite([492(4),6051(7),4679(7),9586(5),81846(4),3508(9),3389(8)]),flip(a)]. 1819349 R(x,y,L(z,(u \ w) * w,u)) = R(x,y,L(z,u,u)). [back_rewrite(1759497),rewrite([1819269(3),1316403(4)])]. 1819475 L(x,y,(((z * u) * z) \ w) * v5) = L(x,y,v5 * (L(u,z,z) \ w)). [para(1593(a,1),7900(a,1,3,1,1)),rewrite([1272097(5),3029(7)]),flip(a)]. 1819935 R(x,y,L(z * (u / w),v5,v6)) = R(x,y,L(z * (w \ u),v5,v6)). [para(9235(a,1),7917(a,1,3)),rewrite([7328(4),823(7),9235(10),7328(8)])]. 1820502 R(x,y,L((z / u) * w,v5,v6)) = R(x,y,L((u \ z) * w,v5,v6)). [para(9238(a,1),9644(a,1,3)),rewrite([7328(4),832(9),9238(10),7328(8)])]. 1820536 R(x,y,L((z \ 1) * u,u,z)) = R(x,y,(u \ 1) \ (z \ 1)). [back_rewrite(1783302),rewrite([1820502(5)])]. 1820742 R(x,y,L(z,u,w) * (z \ v5)) = R(x,y,z * (L(z,u,w) \ v5)). [hyper(1468,a,8248,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 1820768 a(x,y,z * (L(u,w,v5) \ 1)) = a(x,y,z * L(u \ 1,w,v5)). [para(5499(a,2),8248(a,1,3,2)),rewrite([5499(8),1720171(6),1253043(6),1280385(11)]),flip(a)]. 1820784 R(x,y,z \ (u * L(z,w,v5))) = R(x,y,z * (L(z,w,v5) \ u)). [back_rewrite(1099381),rewrite([1820742(8)])]. 1820827 a(x,y,L(z \ 1,L(z,u,w),v5)) = a(x,y,L(z \ 1,z,L(v5,u,w))). [para(8525(a,1),9455(a,1,3,1)),rewrite([9455(5)]),flip(a)]. 1822332 (x * (L(x,y,z) \ u)) \ K(w,v5) = L(x,y,z) * (x \ (u \ K(w,v5))). [hyper(507,a,9380,a(flip),b,13589,a),rewrite([81725(8),884(8),13192(8)]),flip(a)]. 1822383 L(x,y,z) * (x \ (u \ K(x \ u,x))) = (x * (u / L(x,y,z))) \ 1. [back_rewrite(196318),rewrite([1822332(6)])]. 1822431 a(x,y,x) * (z * (R(x,u,w) \ v5)) = z * (L(R(x,u,w),y,x) \ v5). [para(11047(a,2),2374(a,2,2)),rewrite([2372(9),410938(9)])]. 1824629 R(x,y,z * (a(u,w,v5) * a(u,w,v5))) = R(x,y,z). [para(8566(a,2),1843(a,2,3,1)),rewrite([303(2),8566(8),13111(9),1680545(10)])]. 1824769 L(x,y,z) \ (L(x,y,z) \ u) = x \ (L(L(x,y,z),y,z) \ u). [hyper(4954,a,24,a,b,8573,a),rewrite([1547445(4),26827(5),12185(4)]),flip(a)]. 1826167 L(x \ L(L(x,y,z),y,z),u,w) = x \ L(L(x,y,z),y,z). [hyper(6259,a,8587,a(flip),b,541642,a),rewrite([713646(7),8587(8),5545(9),5545(8),22(6),31(5),12428(4),713646(7),8587(8),713646(13),13206(18),918930(14),29(12),31(11),12428(10),8578(12),12185(10),372(9),22(7),386(6),19(9)])]. 1826186 R(x,y,z \ L(L(z,u,w),u,w)) = x. [hyper(1466,a,8587,a(flip),b,13215,a(flip)),rewrite([1826167(6),8582(7),21(8),22(7),23(2)]),flip(a)]. 1826266 L(x,((y \ z) * L(L(y,u,w),u,w)) \ v5,v6) = L(x,z \ v5,v6). [para(8587(a,2),7488(a,1,2,1)),rewrite([8587(4),918930(5),1462807(6),876(4)]),flip(a)]. 1826368 R(x,y,(L(L(z,u,w),u,w) \ v5) * z) = R(x,y,v5). [para(8564(a,2),1846(a,1,3)),rewrite([8564(4),1680545(5)]),flip(a)]. 1826580 L(x,(y \ (a(z,u,w) \ 1)) \ v5,v6) = L(x,(y \ a(z,u,w)) \ v5,v6). [para(10093(a,1),7488(a,1,2,1)),rewrite([1826266(14)])]. 1827347 a(x,y,z \ (a(u,w,v5) \ v6)) = a(x,y,z \ (v6 * a(v5,w,u))). [para(10843(a,2),9540(a,1,3)),rewrite([8104(4),10843(9),1350556(8),9540(8)]),flip(a)]. 1827647 L(x,(a(y,z,u) \ w) \ v5,v6) = L(x,(a(y,z,u) * w) \ v5,v6). [para(8559(a,1),875(a,1,2)),rewrite([1366361(12),876(10)])]. 1827648 R(x,y,(a(z,u,w) \ v5) \ v6) = R(x,y,(a(z,u,w) * v5) \ v6). [para(8559(a,1),1846(a,1,3)),rewrite([1826368(12)])]. 1828069 a(x,(y * y) * (L(y,z,u) \ w),v5) = a(x,(L(y,z,u) \ 1) \ w,v5). [para(3511(a,1),10571(a,1,2)),rewrite([10142(5),1517788(5),55728(12),528194(12),5947(12),1661016(8),1796100(12)]),flip(a)]. 1828075 a(x,(R(y,z,u) \ w) * v5,v6) = a(x,(L(y,z,u) \ w) * v5,v6). [para(5624(a,1),10571(a,1,2)),rewrite([6748(5),2535(9),4175(9),5624(11),6748(9)])]. 1828076 a(x,L(y \ 1,y \ 1,z) \ u,w) = a(x,L(y \ 1,y,z) \ u,w). [para(10846(a,1),10571(a,1,2,1)),rewrite([10571(6),8303(4),155107(6),1459164(6)]),flip(a)]. 1828082 a(x,L(y,z,u) \ (w * w),v5) = a(x,L(y \ (w * w),z,u),v5). [para(69682(a,1),10571(a,1,2)),rewrite([557562(4),10571(7),11682(7),10449(7),69650(5),20(4),527940(5),12612(8),820(12),683(10),137940(10),1046979(10),10142(10),5728(9),20(8)]),flip(a)]. 1828209 L(x \ L(x,y,z),(u \ 1) * w,v5) = L(x \ L(x,y,z),u * w,v5). [hyper(507,a,9938,a,b,8406,a),rewrite([9938(5),1769807(13),8406(12)])]. 1828282 a(x,x,((y \ 1) \ z) \ u) = a(x,x,(z * y) \ u). [hyper(507,a,397075,a,b,9457,a),rewrite([397075(7),846362(9)])]. 1828364 a(x,y,((z \ 1) \ (z * u)) \ w) = a(x,y,u \ ((z * z) \ w)). [para(7235(a,1),9457(a,1,3,1,1)),rewrite([919(7),21(6),881(5),21(4),9457(5),1093158(6),1523937(12),21(6)]),flip(a)]. 1828417 L(x,y,a(z,z,(u \ w) * v5)) = L(x,y,a(z,z,(w * u) * v5)). [para(9457(a,2),4642(a,1,3)),rewrite([9457(9),621177(10),1191967(9),3523(7),883002(4),1828282(9),883002(8)])]. 1828510 R(x,y,(z * L(u,z,z)) \ w) = R(x,y,((z \ 1) \ u) \ w). [hyper(1468,a,10042,a(flip),b,9234,a),rewrite([9238(6)]),flip(a)]. 1832179 T(x \ 1,y) * R(z,x \ 1,x) = R(T(1 / x,y) * z,x,x \ 1). [para(11983(a,1),3618(a,1,2)),rewrite([14782(17),769(17),9612(14),2548(11)])]. 1832306 R(T(1 / x,y) * y,x,x \ 1) = (x \ 1) * (((1 / x) * y) * x). [back_rewrite(644963),rewrite([1832179(7)])]. 1832827 L(x,L(y * z,z,z) * u,w) = L(x,((z \ 1) \ y) * u,w). [para(11984(a,2),7677(a,2,2,1)),rewrite([1304529(7),99588(5),11984(9),1304529(10),1717854(8)])]. 1833976 L(x,L(y * ((z * u) \ u),z,z),w) = L(x,L(z,z,u) \ y,w). [para(5895(a,1),12096(a,1,2,1)),rewrite([2535(10),7684(10),4628(10),4179(8),7298(8),561424(8),11277(7),1394415(5),1718884(12),492(9)])]. 1834117 L(x,a(y,y,z) * ((z \ 1) \ u),w) = L(x,(z \ a(y,y,z)) \ u,w). [para(10047(a,1),12097(a,1,2,1)),rewrite([11788(8),10647(7),1400379(6),1638172(6),9343(5),12097(5),435526(5),516810(10),1826580(12)])]. 1834517 R(x,y,z \ (z \ ((u \ 1) \ z))) = R(x,y,L((u \ z) \ 1,z,z)). [para(12099(a,1),11046(a,1,3,2)),rewrite([1765960(10),9428(6),20(2),20(2),1642404(6),1765947(5),685729(13),320077(13),1778421(11),1537249(12)]),flip(a)]. 1836915 L(x,y,y * a(x,z,u)) = L(x,y,y). [para(9234(a,1),12587(a,1,3,2)),rewrite([12588(7),1342504(8),9637(7),21(8)])]. 1837302 a(x,y,a(z * (u \ w),z,u)) = a(x,y,a(u,z,u * (z \ w))). [para(12587(a,1),13134(a,1,3,2)),rewrite([246782(5),8104(6),19(5)]),flip(a)]. 1837315 (R(x,x \ (y \ z),y) * (x \ (z / y))) \ z = L(y,x \ (y \ z),x). [para(10809(a,2),12587(a,2,1,1)),rewrite([541887(6),889(7),2008(7),80683(7)]),flip(a)]. 1838204 a((x \ y) * z,(x \ y) \ z,u) = a(y * (x * z),y \ (x * z),u). [para(3838(a,1),13149(a,2,1)),rewrite([10492(9),3336(9),81843(8),81882(8),4531(9),680(9),9373(9),651963(11),296(9),303(7),818(10),850(10),900(10),174578(10)]),flip(a)]. 1838416 a(x,a(y,y,z),u * a(z,y,y)) = a(x,a(y,y,z),u). [hyper(507,a,7404,a,b,13154,a),rewrite([7404(5),773593(4),299(8),1731873(10),6717(11)])]. 1838629 a(x,a(y,z,z),u * a(z,z,y)) = a(x,a(z,z,y),u). [back_rewrite(1012085),rewrite([1838416(8)])]. 1840145 a(x,y,a(z,u \ w,u)) = a(x,y,a(z,u * w,u)). [hyper(152,a,9479,a,b,13203,a),rewrite([81843(6),729759(7),1292239(8),1391648(6),13203(6)]),flip(a)]. 1840188 a(x,y \ z,a(u,w,y)) = a(x,y * z,a(y,w,u)). [para(9476(a,1),13203(a,1,3)),rewrite([13203(4),1782874(8)]),flip(a)]. 1840270 a(((x \ y) * z) * (x \ (y * z)),u,w) = a(w,u,a(z,x * y,x)). [back_rewrite(1253343),rewrite([1840145(9)])]. 1844299 (1 / (x \ y)) \ a(z,u,L(x,y,y)) = L(x,u,z) \ y. [hyper(152,a,4585,a,b,13567,a),rewrite([916632(7),13307(5),244777(4),81886(4),10578(6),1538169(6),5262(6)])]. 1844414 (1 / (x \ y)) * (L(x,z,u) \ y) = a(u,z,L(x,y,y)). [para(13567(a,1),4470(a,2,2)),rewrite([303(4),81843(5),8871(5),81886(4),10578(6),1538169(6)]),flip(a)]. 1844528 L(x,y,z * x) \ z = R(x \ z,y,x). [para(8836(a,1),13567(a,1,1)),rewrite([8326(2),245332(4)]),flip(a)]. 1844627 (x * (L(y,z,u) \ w)) / (y \ w) = (y \ w) \ ((L(y,z,u) \ w) * x). [para(13567(a,1),6343(a,1,1,2)),rewrite([13569(10)])]. 1844645 L(x,y * ((z * a(u,w,z)) \ v5),v6) = L(x,y * (L(z,w,u) \ v5),v6). [para(13567(a,1),10386(a,2,2,2)),rewrite([333017(4),9380(3),6831(4),698205(4)])]. 1844975 (x / y) \ ((x / L(y,z,u)) * w) = (y \ x) \ ((L(y,z,u) \ x) * w). [para(13569(a,1),6354(a,2,2,1)),rewrite([604232(5)])]. 1845002 (x / (y / z)) * (y / L(z,u,w)) = (x / (z \ y)) * (L(z,u,w) \ y). [para(13569(a,1),10492(a,2,2)),rewrite([604232(6)])]. 1845528 a(x,y,z) * ((z * L(z,y,x)) \ u) = (z * L(L(z,y,x),y,x)) \ u. [para(13571(a,1),37512(a,1,1)),rewrite([2864(2),2079(2),1661016(8)])]. 1845557 L(x,(y * L(L(y,z,u),z,u)) \ w,v5) = L(x,(y * y) \ w,v5). [back_rewrite(1701314),rewrite([1845528(5)])]. 1845987 a(x,a(y,y,z),u * a(y,y,z)) = a(u,a(y,y,z),x). [para(13616(a,1),13154(a,1,2,1)),rewrite([6880(4),1320565(11),8301(6),20(5),564720(6),6880(8),7953(12),528722(12),8172(10),98322(10),773435(8),1838629(8)])]. 1847359 (1 / x) * (((1 / x) / y) \ 1) = (x \ 1) * (((x \ 1) / y) \ 1). [hyper(1467,a,7989,a,b,2958,a),rewrite([12075(8),742(12),1445080(13),1379142(14),1312519(14),24(10)]),flip(a)]. 1856640 (a(x,y,z) \ u) * (u \ z) = L(z,y,L(x,u,u)). [para(3154(a,1),297193(a,2,1,1)),rewrite([6460(4),8303(4),1392779(4),13273(5),9419(3),9373(5)]),flip(a)]. 1856646 (x / y) * (a(z,u,x) \ y) = L(x,u,L(z,y,y)). [para(9316(a,2),297193(a,1,2,1)),rewrite([5237(5),8303(5),13177(6),8200(5),3154(6),9373(7),1856640(8)])]. 1858216 x * ((a(y,z,u) \ x) \ L(u,z,y)) = L(u,z,a(x,x,y)). [para(3154(a,2),297330(a,1,1,2,2)),rewrite([3154(3),9315(4),7054(5),13326(9),1650293(9),1660950(8)])]. 1866754 R(x,y,z) * L(x,y,z) = x * L(R(x,y,z),y,z). [hyper(1832,a,50169,a,b,7290,a),rewrite([1661016(4),26775(6),5254(8),26856(7),1361215(5),1763174(3)]),flip(a)]. 1868686 x * ((x \ 1) \ (y \ ((x \ 1) * z))) = (x * x) * (y \ ((1 / x) * z)). [hyper(1468,a,53027,a,b,5644,a),rewrite([1578284(9),53027(11),633610(10)])]. 1872772 a(x,y,z * (a(u,w,w) * (v5 * w))) = a(x,y,(v5 * L(w,w,u)) * z). [para(8041(a,1),8198(a,1,3,1)),rewrite([4981(4)]),flip(a)]. 1872783 a(x,y,(z * (u * a(w,w,u))) * v5) = a(x,y,v5 * (z * L(u,w,w))). [para(9473(a,1),8198(a,2,3,2)),rewrite([9303(3),5005(9)])]. 1873419 (a(x,y,z) / x) \ L(u,x,x) = (R(1 / x,y,z) \ 1) * u. [para(9348(a,1),8250(a,1,1)),rewrite([492(6),919(5),8303(5),19(4)])]. 1874121 a(x,(y \ 1) * (z \ y),u) = a(x,y * (z \ (y \ 1)),u). [para(18426(a,1),8281(a,2,2)),rewrite([13517(6),20(2),20(3),1568699(6),8281(4),3277(3),2332(5),1007299(13)])]. 1874159 a(x,L(y \ 1,y \ z,z),u) = a(x,z * (y \ (z \ 1)),u). [back_rewrite(879423),rewrite([1874121(10)])]. 1874328 a(((R(x,y,y) * y) * z) * u,w,v5) = a(u * (z * (y \ x)),w,v5). [para(8290(a,1),10670(a,1,1,1,1)),rewrite([1415549(7),56230(4),7758(11),612736(11)])]. 1874469 a(x,y,a(z,u,w)) * a(y,a(z,u,w),x) = a(y,x,a(w,u,z)). [hyper(6259,a,1826186,a,b,8366,a),rewrite([300(5),1826186(10),8157(7)]),flip(a)]. 1874486 a(x,y * ((z * z) \ u),a(w,v5,v6)) = a(x,y * u,a(w,v5,v6)). [hyper(6259,a,40283,a(flip),b,8366,a),rewrite([1138288(5),40283(10),300(9),40283(10),8157(12),1874469(12)])]. 1874495 a(x,y \ ((z \ 1) \ u),a(w,v5,v6)) = a(x,y \ (z \ u),a(w,v5,v6)). [hyper(6259,a,7760,a(flip),b,8366,a),rewrite([1517905(5),7760(11),300(11),7760(11),8157(15),1874469(15)])]. 1874499 a(x,y \ ((z \ 1) * u),a(w,v5,v6)) = a(x,y \ (z * u),a(w,v5,v6)). [hyper(6259,a,4859,a(flip),b,8366,a),rewrite([4859(12),300(11),4859(12),8157(15),1874469(15)])]. 1874507 a(x,y * (z * z),a(u,w,v5)) = a(x,y,a(u,w,v5)). [hyper(6259,a,3380,a(flip),b,8366,a),rewrite([3380(8),300(7),3380(8),8157(9),1874469(9)])]. 1874508 a(x,y * (z * (u \ 1)),a(w,v5,v6)) = a(x,y * (z * u),a(w,v5,v6)). [hyper(6259,a,3281,a(flip),b,8366,a),rewrite([3281(12),300(11),3281(12),8157(15),1874469(15)])]. 1874509 a(x,(y * (z \ 1)) * u,a(w,v5,v6)) = a(x,u * (y * z),a(w,v5,v6)). [hyper(6259,a,3280,a(flip),b,8366,a),rewrite([3280(12),300(11),3280(12),8157(15),1874469(15)])]. 1874538 a(x,y,a(z,u,w)) * a(x,a(w,u,z),y) = a(z,u,a(w,x,y)). [hyper(1832,a,8366,a(flip),b,13408,a),rewrite([299(5),13597(5),5242(7),9237(8),8982(7)])]. 1875890 a(x,(L(y,y,z) \ 1) \ u,w) = a(x,L(y \ 1,y,z) \ u,w). [para(3117(a,2),8552(a,1,2,1)),rewrite([174578(8),20(5),1012728(8),528918(6),1134346(5),1517788(5),820(13),1828076(12)])]. 1876146 L(x,a(y * a(z,u,w),u,u) * v5,v6) = L(x,v5 * a(u,u,y),v6). [para(12578(a,1),8561(a,2,2,2))]. 1876189 L(x,a(y,z,u) * ((y * y) \ w),v5) = L(x,(y * L(y,z,u)) \ w,v5). [para(13383(a,1),8561(a,2,2))]. 1876258 R(x,y,L(R(z,u,w) \ v5,v6,v7)) = R(x,y,L(L(z,u,w) \ v5,v6,v7)). [hyper(1468,a,8568,a(flip),b,9234,a),rewrite([9238(5)]),flip(a)]. 1876360 a(x * ((L(y,z,z) * z) * u),w,v5) = a(x * (u * (z \ y)),w,v5). [para(610276(a,1),8576(a,1,1,1,2,1)),rewrite([122549(4),1874328(5),19078(7),17677(7),6809(9)]),flip(a)]. 1876452 a(x,y,L(z,z,u) * (u * L(w,u,z))) = a(x,y,((z \ 1) \ u) * w). [para(5072(a,1),8581(a,2,3,1)),rewrite([2535(3),9266(3),2522(5),12316(10)])]. 1876494 a(x,y,(a(z,z,u) * (w * u)) * v5) = a(x,y,v5 * (w * L(u,z,z))). [para(9303(a,1),8581(a,2,3,1)),rewrite([524812(7),1872783(10)])]. 1876689 R(x,y,L((z * u) \ w,z,u)) = R(x,y,z \ (u \ w)). [hyper(1468,a,8602,a(flip),b,9234,a),rewrite([9238(4)]),flip(a)]. 1876917 a(x,y,(z \ a(u,w,v5 \ 1)) * v6) = a(x,y,v6 * (z \ a(v5,w,u))). [para(3266(a,1),8624(a,2,3,2,2))]. 1877017 L(x,y * (z * L(R(z,u,w),u,w)),v5) = L(x,y * (z * z),v5). [para(626(a,2),8630(a,2,2,2)),rewrite([1763174(3),1661016(8),26682(9),1702101(10)])]. 1877303 a(x,y,((z * (u / w)) \ v5) * v6) = a(x,y,((z * (w \ u)) \ v5) * v6). [para(5624(a,1),10151(a,1,3)),rewrite([810(6),889(13),12300(13),5624(15),810(11)])]. 1877380 L(x,a(y,y,z),a(u,y,w)) = x. [hyper(1468,a,12568,a,b,1431056,a(flip)),rewrite([8982(3),80722(3),5286(5),18(3),288(10),300(4),19(6),19(5)])]. 1877381 L(x,a(y,z,z),a(u,z,w)) = x. [hyper(1468,a,12568,a,b,1388483,a(flip)),rewrite([8982(3),216419(3),5286(5),18(3),288(10),300(4),19(6),19(5)])]. 1877399 L(x * a(y,z,a(u,x,w)),z,a(w,y,u)) = L(x,a(u,z,w),y). [hyper(1465,a,8748,a,b,12568,a),rewrite([18(3),13597(4),761492(4),373(7),5606(11)])]. 1877400 L(x * a(y,z,a(u,x,w)),z,a(u,y,w)) = L(x,a(u,z,w),y). [hyper(1465,a,8746,a,b,12568,a),rewrite([18(3),13597(4),761492(4),373(7),5606(11)])]. 1877406 L(x,a(y,z,z * y),u) = L(x,a(z,z,y),u). [hyper(1465,a,3523,a(flip),b,12568,a),rewrite([18(4),203897(4),13597(4),761492(4),9409(6),373(4),5606(10)]),flip(a)]. 1877407 L(x,a(y,z,y * z),u) = L(x,a(z,z,y),u). [hyper(1465,a,3521,a(flip),b,12568,a),rewrite([18(4),7113(4),13597(4),761492(4),761494(6),373(4),5606(10)]),flip(a)]. 1877623 L(x * a(y,z,a(u,x,w)),w,a(u,z,y)) = L(x,a(u,z,y),w). [para(8798(a,1),12568(a,2,1,1)),rewrite([18(3),5606(7),19(4),13597(5),761492(5)]),flip(a)]. 1877786 L(x,a(y,y \ z,u),w) = L(x,a(y,y * z,u),w). [para(6783(a,2),12568(a,1,2,1)),rewrite([18(4),6783(10),5606(9),19(5),1391649(6),13597(7),761492(7),1555752(10),761494(10)])]. 1877931 L(x,(y * (z \ u)) \ (z \ (y * u)),w) = L(x,a(z,z * u,y),w). [back_rewrite(1758648),rewrite([1877786(9)])]. 1878823 (a(x,y,y \ z) \ 1) / ((x * z) / (y \ z)) = 1 / (x * y). [para(9577(a,1),4463(a,1,3)),rewrite([1315432(9),8301(6),20(8),5242(7),1540358(7),9577(8)]),flip(a)]. 1878862 ((x * y) / (z \ y)) \ (a(x,z,z \ y) \ 1) = (x * z) \ 1. [para(9577(a,1),10927(a,1,1,1)),rewrite([1619340(9),1878823(8),128401(7),5292(7),22(5),503(5),1619340(8),9577(11)]),flip(a)]. 1878905 L(x,y,a(z * u,z * u,(w * u) * (z * w))) = x. [para(9577(a,1),10914(a,1,3,2,2)),rewrite([1878862(9),9586(6),386(4),384(2),813(6),883002(7),1828417(7)]),flip(a)]. 1879138 R(x,y,(z \ 1) \ (u \ 1)) = R(x,y,(z \ u) \ 1). [hyper(1468,a,9673,a(flip),b,9234,a),rewrite([9238(5),1820536(9)]),flip(a)]. 1879285 R(x,y,L(z * (u \ 1),z,u)) = R(x,y,(z \ u) \ 1). [back_rewrite(1783181),rewrite([1879138(11)])]. 1880004 a(x,a(y,y,z),u \ L(z,y,y)) = a(x,a(y,y,z),u \ z). [para(9216(a,1),9085(a,1,3)),rewrite([1845987(9)]),flip(a)]. 1880006 a(x,a(y,y,z),L(z,y,y) * u) = a(x,a(y,y,z),z * u). [para(9290(a,1),9085(a,1,3)),rewrite([1845987(9)]),flip(a)]. 1880629 (1 / (x \ y)) * (x \ R(y,z,u)) = a(y,z,u). [para(13006(a,1),3277(a,1,1)),rewrite([81843(6),8871(6),729759(6),1031986(6),849(3)]),flip(a)]. 1880685 (x \ R(y,z,u)) * ((x \ y) \ 1) = a(y,z,u). [para(13006(a,1),9934(a,1,2,2)),rewrite([300(9),11567(13),1106259(13),81843(12),99906(12),20(11),1880629(12)])]. 1880735 x * (R(y,z,u) * (y \ (x \ y))) = (y / x) * (x * a(y,z,u)). [para(13006(a,1),5993(a,1,2,2,1)),rewrite([8303(6),8871(6),1031490(6),1720917(4),364434(10),2188(11),5265(10),502(11),1283981(9)])]. 1880806 (x / y) * (y * a(x,z,u)) = R(x,z,L(u,y,y)). [para(13006(a,1),297198(a,1,2,2,1)),rewrite([13307(6),8303(5),1031490(6),1720917(4),1880735(5),22(7),13446(6),1354379(8)])]. 1880885 a(x,y * z,a(y,y,u)) = a(y,y,a(x,y \ z,u)). [hyper(6259,a,281375,a(flip),b,10796,a(flip)),rewrite([5242(6),1554799(6),5254(8),303(5),5242(6),1554799(6),13550(9),8982(6),13597(8),20(8),8871(7),8871(6),8208(6)]),flip(a)]. 1881559 L(R(x \ K(y,z),u,w),x,L(x,u,w)) = R((1 / x) * K(y,z),u,w). [para(13442(a,1),4231(a,1,1,1)),rewrite([6238(4),94861(4),248544(4),863867(7),5210(8),14926(7),866(5),330(6),32(5),2041(4),2535(12),80708(12),7312(12)]),flip(a)]. 1881628 L(x,L(y \ K(z,u),w,v5) \ v6,v7) = L(x,L(y \ 1,w,v5) \ v6,v7). [para(13442(a,1),11936(a,1,2,1,3)),rewrite([884(10),4179(8),438007(8),10231(8),1358991(6),2079(5),686617(5),4175(5),4179(12),438007(12),503927(12),11717(14),1881559(10),891(11),12624(12),4175(10),152269(10)])]. 1883326 a(x,x * (a(y,z,u) * w),a(y,z,u)) = a(y,z,a(u,x * w,x)). [para(9137(a,2),14558(a,1,1)),rewrite([299(2),1701067(4),9200(5),1342572(5),299(5),22(7),42508(6),13113(5),13597(5),20(5),9195(8),8381(8)]),flip(a)]. 1883893 x * a(y,z,L(L(u,x,w),w,x)) = w \ ((w * a(y,z,u)) * x). [hyper(1468,a,1826186,a,b,9412,a),rewrite([1826186(7)])]. 1884061 a(x,y,L(z,(u \ 1) \ w,v5)) = a(x,y,L(z,u \ w,v5)). [hyper(1832,a,13663,a,b,8866,a),rewrite([13663(7),1782991(8),2457(7),299(3),13271(7),20(5)]),flip(a)]. 1884164 a(x,x,L(y,z \ u,w)) = a(x,x,L(y,z * u,w)). [back_rewrite(1545539),rewrite([1884061(5)])]. 1885530 L(x,y,z * a(a(u,u,w) * v5,v6,v6)) = L(x,y,a(v6,v6,v5) * z). [para(9552(a,1),10393(a,1,3,1)),flip(a)]. 1885531 L(x,y,a(a(z,z,u) * w,v5,v5) * v6) = L(x,y,v6 * a(v5,v5,w)). [para(9552(a,1),10393(a,2,3,2))]. 1885754 a(x \ (y \ ((z * y) * x)),u,w) = a(z,u,L(L(w,x,y),y,x)). [para(5711(a,1),8843(a,1,1)),rewrite([13265(5),851(5)]),flip(a)]. 1885917 a(x,y,a((x \ z) * y,u,w)) = a(x,y,a(x * (y \ z),u,w)). [para(8843(a,1),9048(a,1,3)),rewrite([830893(4),1390051(8),774376(8)]),flip(a)]. 1886527 a(x \ (y * a(z,u,w \ 1)),v5,v6) = a(x \ (a(w,u,z) * y),v5,v6). [para(9427(a,1),4859(a,2,1,2)),rewrite([13558(6),373(2),1697458(6),502708(10)]),flip(a)]. 1887973 x \ ((x \ 1) * a(y,z,u)) = a(y,z,u) * (x \ (x \ 1)). [para(38381(a,1),11422(a,1,2,1,2)),rewrite([556431(10),2185(9),302(9),276213(7),863(6),479964(13),863(10)]),flip(a)]. 1888075 a(x,y,(R(z,u,w) \ v5) \ v6) = a(x,y,(L(z,u,w) \ v5) \ v6). [para(69269(a,1),8705(a,2,3,2)),rewrite([2535(9),6298(9),8633(8),7677(8),8705(8),1757976(8),1307633(10)]),flip(a)]. 1888756 L(x,y * a(x,z,L(u,w,v5)),u) = L(x,y,u). [hyper(6259,a,1680333,a(flip),b,8954,a),rewrite([8975(3),8975(7),1715497(9),300(7),8975(7),1715497(9),512465(10)])]. 1888800 L(x * a(y,z,x),x,L(u,x,w)) = L(x * a(y,z,x),x,u). [para(8068(a,1),8954(a,1,1)),rewrite([8068(3),8954(4)]),flip(a)]. 1888879 L(x * a(y,z,x),L(x,u,w),v5) = L(x * a(y,z,x),x,L(v5,u,w)). [para(8525(a,1),8954(a,1,1)),rewrite([8525(4),8954(6)]),flip(a)]. 1889811 a(x,y,a(y,z * u,z)) = a(x,y,a(y,u,z)). [hyper(1465,a,9558,a(flip),b,13285,a),rewrite([13284(4)]),flip(a)]. 1889814 a(x,x,a(y,z * y,u)) = a(x,x,a(y,z,u)). [hyper(1465,a,9271,a(flip),b,13285,a),rewrite([13284(4)]),flip(a)]. 1889916 a(x,y \ z,a(z,u,u)) = a(x,u,a(u,y,z)). [back_rewrite(1387086),rewrite([1889811(6)])]. 1889937 a(x,x * y,a(z,z,u)) = a(u,z,a(z,y,x)). [back_rewrite(1387113),rewrite([1889916(3)]),flip(a)]. 1889981 a(x,y,a(z,u \ x,y)) = a(z,y,a(y,u,x)). [back_rewrite(1386886),rewrite([1889937(3)]),flip(a)]. 1890011 a(x,x,a(y,z * u,z)) = a(y,x,a(x,u,z)). [back_rewrite(1386889),rewrite([1889981(3)]),flip(a)]. 1890104 a(x,x,a(y,x * z,u)) = a(y,x,a(x,z,u)). [hyper(6259,a,11074,a(flip),b,9508,a),rewrite([300(5),13284(7)])]. 1890208 a(x,y,L(z,u \ x,w)) = a(x,y,L(z,x * u,w)). [para(9479(a,1),9508(a,1,1,3)),rewrite([1391649(3),9508(5),9855(8)]),flip(a)]. 1891216 a(x,x,a(y,y * z,u)) = a(u,x,a(x,z,y)). [hyper(6259,a,9558,a(flip),b,8799,a),rewrite([300(5),13284(7)])]. 1891439 a(x,y,a(z,u,u)) * a(x \ (u \ x),y,z) = a(u,y,z). [hyper(1465,a,8817,a,b,8752,a),rewrite([13597(6)])]. 1891502 a(x,y,L(z,u,y \ w)) = a(x,y,L(z,u,y * w)). [para(8301(a,1),8752(a,1,1)),rewrite([8752(5)]),flip(a)]. 1891556 a(x,y,L(z,a(x,u,z) * w,v5)) = a(x,y,L(z,w,v5)). [para(397168(a,1),8752(a,1,1,3)),rewrite([8752(4)]),flip(a)]. 1891760 a(x,y * z,a(y,y,u)) = a(x,y,a(y,z,u)). [hyper(6259,a,11074,a(flip),b,8755,a),rewrite([300(5),13284(7)])]. 1891763 a(x,y * z,a(u,u,y)) = a(x,u,a(u,z,y)). [hyper(6259,a,9558,a(flip),b,8755,a),rewrite([300(5),13284(7)])]. 1891765 a(x,y * x,a(z,z,u)) = a(x,z,a(z,y,u)). [hyper(6259,a,9203,a(flip),b,8755,a),rewrite([300(5),13284(7)])]. 1891828 a(x,y,L(z,u,L(y,w,w))) = a(x,y,L(z,u,y)). [para(9240(a,1),8755(a,1,1,3)),rewrite([8755(4)]),flip(a)]. 1891851 a(x,y,L(z,u * (w * (v5 \ 1)),v6)) = a(x,y,L(z,u * (w * v5),v6)). [para(1490(a,1),8755(a,2,3)),rewrite([286115(6),1874508(6),8755(6)]),flip(a)]. 1891965 a(x,x,a(y,x \ z,u)) = a(y,x,a(x,z,u)). [back_rewrite(1880885),rewrite([1891760(3)]),flip(a)]. 1892576 a(x,y,a(z,u,u)) * a(x,y,(u \ z) \ 1) = a(x,y,(z \ 1) * u). [hyper(1465,a,9673,a(flip),b,8770,a),rewrite([81074(4),752759(3),7113(3),13597(7)])]. 1892579 a(x,y,a(z,u,u)) * a(x,y,L(u,z,z)) = a(x,y,L(u,z * u,z)). [hyper(507,a,11075,a(flip),b,8770,a),rewrite([13198(5)]),flip(a)]. 1892703 a(x,y,L(z,u,y * x)) = a(x,y,L(z,u,y)). [para(9747(a,2),9049(a,1,1,3)),rewrite([9747(5),1391676(5),841025(4),752759(3),7113(3),771163(4),4677(6),1891502(5)]),flip(a)]. 1894225 a(x,y,a(y,z,u \ w)) = a(x,y,a(y,z,w * u)). [hyper(507,a,5961,a,b,8849,a),rewrite([5961(13),769083(5),769083(8)]),flip(a)]. 1894605 L(x,y,L(z,u * (w * (v5 \ 1)),v6)) = L(x,y,L(z,u * (w * v5),v6)). [hyper(1468,a,1490,a,b,8915,a),rewrite([1490(7),9388(8),1891851(6),9419(5)]),flip(a)]. 1894886 a(x,y,a(z,z,u)) * L(x,y,z * u) = L(x,y,z \ u). [hyper(152,a,13456,a,b,8928,a),rewrite([1388485(4),1621667(7),1358971(5)])]. 1895004 L(x,a(y,y,z),u \ w) = L(x,a(y,y,z),u * w). [para(966011(a,1),8928(a,1,1)),flip(a)]. 1895059 L(x,y,(L(z,z,u) \ u) \ w) = L(x,y,(z * u) \ w). [para(10144(a,1),8928(a,1,1,3)),rewrite([242333(6),1039613(5),1387597(4),1136568(8),8928(7)]),flip(a)]. 1895071 L(x,y,(z * u) * ((u \ w) \ (z * w))) = L(x,y,a(z,u,u * w)). [para(9577(a,1),8928(a,2,3)),rewrite([813(6),883002(7),1828417(7),1878905(7),889(6),3264(11),1388319(9)])]. 1895841 L(x,y,a(z * u,w,z) * v5) = L(x,y,a(z,w,z \ u) * v5). [para(8326(a,1),8981(a,1,3,1))]. 1895842 L(x,y,a(z,u,z \ w) * v5) = L(x,y,a(z,u,z * w) * v5). [para(8326(a,2),8981(a,1,3,1)),rewrite([8326(2),1895841(4)])]. 1898476 a(x,y,((z \ x) \ 1) * u) = a(x,y,x \ (z * u)). [para(3277(a,1),9125(a,1,3)),rewrite([785(5),1890208(11),8816(11),1031428(10)])]. 1899608 a(x,y \ z,a(y,u,w)) = a(x,y * z,a(w,u,y)). [hyper(6259,a,9152,a,b,7387,a),rewrite([8982(3),8982(8),13597(9),1840188(8),9862(10),9703(11),5282(8),303(4),8982(8),13597(9),1840188(8),9862(10),9152(14),13113(14),13597(8),20(8)])]. 1899989 a(x,y \ z,a(u,w,z)) = a(x,z * y,a(u,w,z)). [para(5574(a,1),9167(a,1,3,2)),rewrite([813(6),6398(6),1542950(6),567595(7),1899608(5),22(3),813(10),2332(10),1466047(10),10005(8),1466047(9),567595(8),1899608(6)])]. 1900361 R(x,y,L(z,u \ w,u)) = R(x,y,L(z,u * w,u)). [hyper(1832,a,18498,a,b,9181,a),rewrite([13578(4),5553(7),372(5),378(6),755366(5),13193(6),9235(4)]),flip(a)]. 1900809 a(x,x * (y * ((z * z) \ x)),a(u,w,v5)) = a(x,y,a(u,w,v5)). [para(73691(a,2),9195(a,1,2)),rewrite([816(7),1426667(4)]),flip(a)]. 1900876 a(x,x,L(y,z * (u * y),z)) = a(x,x,L(y,u * z,z)). [hyper(507,a,9271,a,b,9196,a),rewrite([1680903(3),1884164(7)])]. 1901469 a(x,x,L(y,z * u,u)) = a(x,x,L(y,z,u)). [hyper(1465,a,12095,a,b,9275,a(flip)),rewrite([1891765(7),13597(7),761412(7),12095(9),1262246(5),754529(4),21(4),8871(5)]),flip(a)]. 1901759 a(x,x,L(y,z * (u * y),z)) = a(x,x,L(y,u,z)). [back_rewrite(1900876),rewrite([1901469(7)])]. 1901905 R(x,y,((z \ a(u,u,w)) \ 1) \ v5) = R(x,y,(a(u,u,w) * z) \ v5). [para(9293(a,2),10399(a,2,3,1)),rewrite([5261(4),249196(4),1827648(4),9293(10)]),flip(a)]. 1902354 (a(x,y,z) * z) \ T(z * u,w) = z \ T(L(z,y,x) * u,w). [hyper(1466,a,9319,a(flip),b,2112,a),rewrite([1105(6),682(6),541340(6)]),flip(a)]. 1905322 a(x,y,a(z,u,w)) * a(y,z,a(x,u,w)) = a(y,a(x,u,w),z). [hyper(1465,a,8366,a(flip),b,9536,a),rewrite([13597(5)])]. 1905520 a(x,x,((y \ 1) * z) * u) = a(x,x,(y \ z) * u). [hyper(6956,a,9551,a)]. 1905566 a(x,x,y * (z \ (u \ 1))) = a(x,x,(u * z) \ y). [para(4566(a,2),9551(a,1,3,2)),rewrite([786(8),530924(8),800(14),9244(11),20(7),20(8),1504826(10)])]. 1905570 a(x,x,(y * a(z,u,w)) \ v5) = a(x,x,(y \ a(w,u,z)) * v5). [para(2144(a,2),9551(a,2,3,1)),rewrite([8200(6),908(6),152546(6),1905566(6),2144(10),800(10),129796(10),1350556(10),1905520(10)])]. 1905573 a(x,x,(y \ (z \ 1)) * u) = a(x,x,(z * y) \ u). [para(3431(a,2),9551(a,1,3,2)),rewrite([10836(7),3262(4),1037707(7),908(5),1905566(5),800(11),190785(11)]),flip(a)]. 1905596 a(x,x,(a(y,z,u) * w) \ v5) = a(x,x,(w \ a(u,z,y)) * v5). [para(8199(a,1),9551(a,1,3,2)),rewrite([1905566(6),1905570(4),1905573(10)]),flip(a)]. 1906788 a(x,y,a(z,u * ((w * w) \ v5),v6)) = a(v6,v5 * u,a(z,y,x)). [para(5876(a,2),9571(a,1,2)),rewrite([5876(3),1138288(5),1874486(5)]),flip(a)]. 1906791 a(x,y * (z * y),a(u,w,v5)) = a(v5,w,a(x,L(z,y,y),u)). [para(14782(a,1),9571(a,2,3,2)),rewrite([1769792(6),5817(8),8303(7),19(6)])]. 1907808 L(x,L(y \ 1,z,u),L(y,w,v5)) = L(x,y \ 1,L(L(y,z,u),w,v5)). [para(9666(a,1),9419(a,1,1)),rewrite([1400243(6)]),flip(a)]. 1909052 (x / (y * z)) * (R(y,u,w) * z) = (x / (z * y)) * (z * R(y,u,w)). [para(2948(a,1),9750(a,1,2)),flip(a)]. 1910218 L(x,y,z \ (u * (a(w,w,u) * v5))) = L(x,y,z \ (L(u,w,w) * v5)). [para(10047(a,2),9787(a,2,3,2)),rewrite([9035(4),9288(5),9787(6),10047(7)]),flip(a)]. 1912468 a(x,y * (R(z,u,w) \ v5),v6) = a(x,y * (L(z,u,w) \ v5),v6). [para(9916(a,1),3163(a,2,2,2)),rewrite([302(5),62328(7),1828075(5),797240(5)]),flip(a)]. 1915098 a(x,y,z) * L(x,y,z) = L(R(x,y,z),y,z). [hyper(6055,a,1866754,a),rewrite([9315(4),9637(3)])]. 1915146 R(x,y,z) * L(T(x,u),y,z) = x * L(R(T(x,u),y,z),y,z). [hyper(1465,a,1866754,a(flip),b,11006,a),rewrite([1104(7),2190(7)]),flip(a)]. 1915217 a(x,(y * L(R(y,z,u),z,u)) * w,v5) = a(x,(y * y) * w,v5). [para(1866754(a,1),2322(a,2,2,1)),rewrite([31(3),1915146(4),1796112(6)]),flip(a)]. 1915341 a(x,y,z * (u * L(R(w,v5,v6),v5,v6))) = a(x,y,(w * u) * z). [back_rewrite(1253084),rewrite([1915098(3)])]. 1927813 R(x,y,z * (u * (w \ a(v5,v6,v5)))) = R(x,y,z * (u * (w \ 1))). [para(5535(a,1),126214(a,1,3,2)),rewrite([300(3),22(2),2366(10),2362(9)])]. 1927816 R(x,y,z * ((u \ a(w,v5,w)) * v6)) = R(x,y,z * ((u \ 1) * v6)). [para(2090(a,1),126214(a,2,3)),rewrite([5265(7),2090(8),2358(6),11819(5)])]. 1927821 R(x,y,z * (u \ (u \ a(w,v5,w)))) = R(x,y,(u * u) \ z). [para(5846(a,1),126214(a,1,3,2)),rewrite([531563(5),1845(5),1845(10),429948(10)])]. 1927829 R(x,y,z * ((z * u) \ 1)) = R(x,y,L(u \ 1,z,z)). [para(5608(a,2),126214(a,1,3)),rewrite([2358(3),38936(6),97811(4),5608(3),1844(5),1642312(5),2358(8),72181(9),2364(10),319940(11),1845(9)]),flip(a)]. 1929480 a(x,y \ ((z * z) \ u),a(w,v5,v6)) = a(v6,v5,a(w,y \ u,x)). [para(183630(a,2),9571(a,2,3,2)),rewrite([1874507(7),818(11),940(11)])]. 1935644 (x * a(y,y,z)) * a(u,y,w) = a(y,y,z) * (a(u,y,w) * x). [hyper(1468,a,1877380,a(flip),b,5999,a),rewrite([300(5),1431144(4)]),flip(a)]. 1935645 (a(x,x,y) * z) * a(u,x,w) = a(x,x,y) * (a(u,x,w) * z). [hyper(1468,a,1877380,a(flip),b,285,a),rewrite([1431139(4)]),flip(a)]. 1935817 (a(x,y,y) \ a(z,y,u)) * w = a(z,y,u) * (a(x,y,y) \ w). [para(1877381(a,1),8139(a,1,2))]. 1935841 a(x,y,y) \ (a(z,y,u) * w) = a(z,y,u) * (a(x,y,y) \ w). [back_rewrite(1431099),rewrite([1935817(8)])]. 1940983 (x \ y) * a(z,z,L(u,y,x)) = x \ (y * a(z,z,u)). [para(9271(a,2),8701(a,1,2)),rewrite([1680903(4),1901759(5)])]. 1941227 a(x,y,(x \ (a(z,u \ 1,u) \ w)) * a(z,u,u)) = a(x,y,x \ w). [para(9687(a,1),8706(a,1,1)),rewrite([8172(10),1701662(8),3266(4),949104(6),949104(10),8862(12),8131(11),1113380(12)]),flip(a)]. 1941332 a(x,y,a(z,z,u)) * L(x,y,z \ u) = L(x,y,u * z). [hyper(6259,a,7190,a(flip),b,8727,a),rewrite([1253613(5),300(5),1253613(5),13597(7)]),flip(a)]. 1941345 a(x,y * a(x,z,L(u,w,v5)),a(u,w,v5)) = a(u,y,a(x,w,v5)). [hyper(1465,a,1680333,a(flip),b,8727,a),rewrite([1888756(4),1217495(4)]),flip(a)]. 1941611 a(x * (y \ z),x,a(y,u,w)) = a(y,x,a(y * (x \ z),u,w)). [hyper(6259,a,6894,a,b,8731,a),rewrite([8301(4),300(9),6894(13),27655(12),774376(8),1885917(8)])]. 1941662 a(x,y * a(z,u,L(x,w,v5)),z) = a(x,y,z). [para(1627613(a,1),8731(a,1,2)),rewrite([8870(2),1941345(5),8732(5),8870(3)]),flip(a)]. 1941688 a(x,a(y,z,a(u,w,x)) * v5,u) = a(x,v5,u). [back_rewrite(1680510),rewrite([1941662(8)])]. 1941692 a(x,a(x,y,a(z,u,w)) * v5,w) = a(x,v5,w). [back_rewrite(1410753),rewrite([1941688(4)]),flip(a)]. 1941699 a(x,a(x,y,L(z,u,w)) * v5,z) = a(x,v5,z). [back_rewrite(397184),rewrite([1941692(8)])]. 1943283 a(x,y,a(y,z,(a(u,w,y) * v5) * v6)) = a(x,z,a(y,y,v6 * v5)). [para(10462(a,1),8759(a,1,3,3,1)),rewrite([1492307(10),1342246(10),1255109(9),1196630(9)])]. 1943304 a(x,y,a(z,u,w)) * a(z,y,a(u,w,x)) = a(u,a(x,y,z),w). [hyper(8726,a,8763,a)]. 1943329 a(x,y,a(z,u,w)) * a(x,y,a(w,z,u)) = a(z,a(x,y,w),u). [hyper(152,a,13408,a,b,8763,a),rewrite([5242(2),9237(3),8982(2),13597(5)])]. 1943332 a(x,y,a(z,u,w)) * a(x,u,a(w,z,y)) = a(z,a(x,u,w),y). [hyper(152,a,8960,a,b,8763,a)]. 1943350 a(x,y,a(z,u,w)) * a(z,y,a(w,x,u)) = a(x,a(z,y,w),u). [para(9849(a,1),8763(a,1,2,3)),rewrite([8870(3),8871(2),770364(3),8870(8),2079(8)])]. 1943379 a(x,a(y,z,u),w \ u) = a(x,a(y,z,u),u * w). [para(9112(a,1),8763(a,1,2,3)),rewrite([1292239(5),1899989(3),752759(6),8763(7),7376(8)]),flip(a)]. 1943385 a(x,a(y,z,z \ u),w) = a(x,a(y,z,z * u),w). [para(13557(a,1),8763(a,1,1,3)),rewrite([1391676(3),3266(7),841104(6),8763(7),13557(7)]),flip(a)]. 1943397 a(x,y,a(y,z,u)) * a(y,x,a(u,y,z)) = a(x,a(y,y,u),u * z). [para(9452(a,1),8763(a,1,2)),rewrite([1891763(3)])]. 1943515 a(x,a(y,y,z),u \ L(z,y,y)) = a(x,a(y,y,z),z * u). [back_rewrite(1880004),rewrite([1943379(7)])]. 1944179 a(x,a(y,z,u),u \ w) = a(x,a(y,z,u),u * w). [para(5970(a,2),8765(a,1,1,3)),rewrite([5970(5),1391649(3),752759(6),8765(7)]),flip(a)]. 1944216 a(x,a(y,z,x \ u),w) = a(x,a(y,z,x * u),w). [para(8301(a,1),8765(a,1,2,3)),rewrite([830893(3),8765(7)]),flip(a)]. 1944244 a(x,y,a(z,u,w)) * a(z,x,a(w,y,u)) = a(x,a(w,y,z),u). [para(8810(a,1),8765(a,1,2))]. 1944286 a(x * y,a(x,x,z),u) = a(y,a(z,x,x),u). [para(13148(a,1),8765(a,1,1)),rewrite([1890104(5),1943350(5)]),flip(a)]. 1944330 a(x,a(y,y,z),z * u) = a(x,a(z,y,y),u). [back_rewrite(1943397),rewrite([1944244(5)]),flip(a)]. 1944478 a(x,a(y,y,z),u \ L(z,y,y)) = a(x,a(z,y,y),u). [back_rewrite(1943515),rewrite([1944330(7)])]. 1944481 a(x,a(y,y,z),L(z,y,y) * u) = a(x,a(z,y,y),u). [back_rewrite(1880006),rewrite([1944330(7)])]. 1945154 a(x,y,((x \ a(z,u \ 1,u)) * w) * a(u,u,z)) = a(x,y,x \ w). [para(9687(a,2),8819(a,1,3)),rewrite([9687(9),8131(9),1113380(10),1941227(8),8104(12),10581(12)]),flip(a)]. 1946144 a(x,y,L(z \ ((x \ 1) \ u),x,z)) = a(x,y,x * (z \ u)). [para(5312(a,2),8841(a,1,1)),rewrite([6693(7),13265(7),851(7),372(9),492(10),910(11),8858(11),373(10)])]. 1946283 a(x \ (y \ ((x * y) \ z)),u,w) = a((y * (x * z)) * (y * x),u,w). [para(6861(a,1),8850(a,1,1,1,2,2)),rewrite([6724(6),2299(5),10140(6),839(10)]),flip(a)]. 1946532 a(x,y,a(z,u,(w * x) \ v5)) = a(x,y,a(z,u,w \ (x \ v5))). [para(3136(a,1),8855(a,2,3,1,2)),rewrite([620479(7),8870(6),8871(5),9200(5),752689(6),7145(10),7557(10),8870(10),8871(9),9200(9),752689(10)])]. 1946965 R((x * x) \ a(y,z,u),x,x) = 1 / (x * (a(y,z,u) \ x)). [para(8865(a,1),3398(a,1,2)),rewrite([855552(9)]),flip(a)]. 1948779 L(x,y,a(z,u * (w * (v5 \ 1)),v6)) = L(x,y,a(z,u * (w * v5),v6)). [para(1490(a,1),8936(a,1,1,2,3)),rewrite([1894605(7),8936(9),286115(9)]),flip(a)]. 1948787 L(x,y * (z \ y),a(y,u,w)) = L(x,z,a(y,u,w)). [para(9338(a,1),8936(a,1,2,2)),rewrite([1638173(5),8936(11),7114(4),1393565(6)]),flip(a)]. 1949365 L(x,a(y,y,z),a(y,y,z) * u) = L(x,a(y,y,z),u). [para(9300(a,1),8950(a,1,1,2,1)),rewrite([8201(7),10203(6),19(3),22(4),1388477(6),4934(5),384(5),8380(4),20(3),1388477(8),4934(7),384(7),8200(6),8199(8),1731873(8),854985(8)]),flip(a)]. 1950381 a(x,y,a(z,u,y \ w)) = a(x,y,a(z,u,y * w)). [para(9112(a,2),8973(a,1,1,3)),rewrite([9112(4),752759(3),1944216(6),8973(7)]),flip(a)]. 1950554 a(x,y,(L(z,u,w) \ 1) * v5) = a(x,y,L(z \ 1,u,w) * v5). [para(231(a,2),10837(a,1,3,2)),rewrite([32(2),10837(6),1820768(6),620915(6),12609(8),96383(10)]),flip(a)]. 1950560 a(x,y,z * (((u * w) \ u) \ v5)) = a(x,y,z * ((u \ (w \ u)) \ v5)). [para(7940(a,1),10837(a,1,3,2,1)),rewrite([3839(6),443247(6),978663(5),284859(11),4214(8),443247(11)]),flip(a)]. 1950734 a(x,y,z * L(u * a(x,x,z),x,x)) = a(x,y,z * u). [para(9287(a,1),12493(a,1,3)),flip(a)]. 1950923 L(x,x,a(y,z,u * a(x,w,v5))) = L(x,x,a(u,z,y)). [para(5227(a,1),9411(a,2,2,3)),rewrite([15253(8),27660(7)])]. 1950965 L(x,a(y,x,z),a(u,w,w)) = x. [para(965324(a,1),9411(a,1,1)),rewrite([8982(5),281740(6),20(5)])]. 1951098 L(x,a(y,z,z \ u),w) = L(x,a(y,z,z * u),w). [para(5971(a,2),9409(a,1,3)),rewrite([8301(3),5971(9),1388319(7),9409(7)]),flip(a)]. 1951099 L(x,a(y,z \ u,z),w) = L(x,a(y,z * u,z),w). [para(5970(a,2),9409(a,1,1,2)),rewrite([5970(7),9195(3),10673(7),9409(7)]),flip(a)]. 1951992 L(x,x,a(y,z,u)) \ (y \ L(y,z,u)) = a(u,z,y) \ (x \ 1). [hyper(1465,a,13014,a(flip),b,9365,a),rewrite([8982(4),1391676(4),20(2),7056(7),13597(6),633491(6),9035(9)])]. 1952333 a(x,L(y * z,z,z) \ u,w) = a(x,((z \ 1) \ y) \ u,w). [para(9365(a,1),8194(a,1,2)),rewrite([10142(5),8301(8),20(7),633511(9),1292919(9)]),flip(a)]. 1952364 a(x,L(y * z,y,y) \ u,w) = a(x,((y \ 1) \ z) \ u,w). [back_rewrite(1292967),rewrite([1952333(4)]),flip(a)]. 1952366 a(x,(L(y,z,z) * z) \ u,w) = a(x,((z \ 1) \ y) \ u,w). [back_rewrite(1292919),rewrite([1952333(8)])]. 1953294 (x * y) * a(y,a(x,z,u),w) = x * L(y,a(x,z,u),w). [para(8405(a,1),9022(a,2,2,2)),rewrite([8157(5),19(5),8871(5),1699204(5),8108(7),9238(7),5238(6)])]. 1954526 L((x * y) \ x,y \ 1,y) = y * (((x * y) \ x) / y). [hyper(152,a,109206,a(flip),b,9050,a),rewrite([53592(12),81725(7),123882(7),9267(6),6402(5),8426(5),17314(15),714159(14),1126739(10)])]. 1955729 L(x,x,a(y,z,u)) * L(x \ u,z,a(u,x,y)) = u. [hyper(1468,a,12742,a,b,93549,a(flip)),rewrite([8871(3),13597(7),281038(7),1660969(6),42495(8),8540(7),5242(2)])]. 1956085 R(x,(y \ z) * L(y,u,w),v5) = R(x,y * (L(y,u,w) \ z),v5). [hyper(1832,a,9079,a(flip),b,9828,a(flip)),rewrite([1611839(4),9828(10),391(6)]),flip(a)]. 1956481 L(x,y * (z \ ((u * w) \ u)),v5) = L(x,y * (z \ (u \ (w \ u))),v5). [para(3824(a,1),9105(a,2,2,1,2)),rewrite([5704(5),19(3),129033(6),1764177(5),1298358(13)]),flip(a)]. 1956493 L(x,y * (z \ (u \ ((w / u) \ u))),v5) = L(x,y * (z \ (w \ u)),v5). [back_rewrite(1764182),rewrite([1956481(6)])]. 1958110 L(x,(y \ z) * a(y,u,w),v5) = L(x,z * L(z \ (y \ z),u,w),v5). [para(9436(a,2),874(a,2,2)),rewrite([677(5),99460(7),1701067(11),124999(10),312908(11)]),flip(a)]. 1959574 a(((x * y) \ (z * y)) * (x \ z),u,w) = a(x * z,x,a(w,u,y)). [para(13714(a,1),9833(a,1,1)),rewrite([927(7),919(6),883(6),881(5),81843(5),729759(6),8982(6),752689(6),848(11),823(10),845(10),832(9)]),flip(a)]. 1959622 L(x,y,(z \ u) * ((z * w) \ (u * w))) = L(x,y,a(z * u,z,w)). [para(13714(a,1),8928(a,2,3)),rewrite([814(9),813(8),816(8),818(7),851(7),850(6),1621030(6),1699754(5),82334(5),5787(8),889(7),1503(7),1504(6)])]. 1961203 a(x,y,a(z,u,u)) * a(x,y,z * u) = a(x,y,(u \ 1) \ z). [hyper(507,a,10957,a(flip),b,9537,a),rewrite([1253613(7)]),flip(a)]. 1961204 a(x,y,a(z,u,u)) * a(x,y,(u \ 1) * z) = a(x,y,u \ z). [hyper(507,a,10832,a(flip),b,9537,a),rewrite([7106(6),1253613(5)]),flip(a)]. 1961627 L(x,a(y,y,z),u) \ a(y,y,z) = L(x \ a(y,y,z),a(y,y,z),u). [para(5069(a,2),9562(a,1,1,2)),rewrite([5069(3),1949365(6)]),flip(a)]. 1962078 x / (y \ (R(x,z,u) \ x)) = R(x,z,u) / (y \ 1). [hyper(1832,a,5669,a,b,10216,a(flip)),rewrite([157101(6),372(3),863(6)]),flip(a)]. 1963477 L(x,a(y,y,z),u * a(y,y,z)) = L(x,a(y,y,z),u). [para(10317(a,1),9009(a,1,3,1)),rewrite([948894(5),9644(10),1614610(10),10108(8),1553150(8),1949365(4),948894(7),948894(12),948881(13),11664(12),1646348(12),10108(10),1553150(10)]),flip(a)]. 1963653 (1 / x) \ ((((1 / x) * y) \ z) \ z) = x * (((x \ y) \ z) \ z). [hyper(507,a,3275,a,b,10320,a),rewrite([709630(6),10320(12)])]. 1964213 a(x,y,L(y \ a(z,u,x),u,z)) = a(x,y,L(y \ 1,u,z)). [para(10327(a,2),6894(a,1,1,2)),rewrite([10327(5),1962078(4),6602(7),13265(4),7294(9),9237(7),13265(8)]),flip(a)]. 1965626 (x \ T(((x \ y) / y) \ 1,z)) * u = (((T(x,z) \ y) / y) * x) \ u. [para(10359(a,1),912(a,1,2,1)),rewrite([10823(7),1530483(7),1202943(6),1374353(10)]),flip(a)]. 1965790 x * ((((T(x,y) \ z) / z) * x) \ u) = T(((x \ z) / z) \ 1,y) * u. [para(10359(a,1),66076(a,1,2,2)),rewrite([1758384(11),3866(9),9151(10),4973(9),1555752(9),20(7),8061(7),1965626(13)]),flip(a)]. 1970087 L(x,y,a(z,(u * u) \ w,v5)) = L(x,w,a(z,y,v5)). [para(37512(a,1),10673(a,2,3,2)),rewrite([5728(4),55728(7),304413(8),769614(6),1554800(4),22(2),304413(8)]),flip(a)]. 1970161 L(x,y,a(z,u \ (w * w),v5)) = L(x,u,a(z,y,v5)). [back_rewrite(1292266),rewrite([1970087(4)]),flip(a)]. 1972085 a(x,(y \ 1) \ (z * L(y,y,u)),w) = a(x,(y * L(y,y,u)) * z,w). [para(9500(a,1),10829(a,1,2,2)),rewrite([1632554(3),6748(8),8381(7),528194(7),1915217(7),42613(4),528194(4),1472849(9),1517892(10)]),flip(a)]. 1975712 L(x,((y \ 1) \ z) * a(u,u,y),w) = L(x,(y \ a(u,u,y)) \ z,w). [para(10960(a,1),12097(a,1,2,1)),rewrite([1394443(6),8303(3),19(2),1714080(4),1134047(11),1448835(12)]),flip(a)]. 1977686 R(x,y,(z * L(L(z,u,w),u,w)) \ v5) = R(x,y,(z * z) \ v5). [para(13534(a,1),11044(a,1,3,1)),rewrite([1824629(7),8201(10),1845528(8)]),flip(a)]. 1989178 (x / y) * ((T(y \ x,y) \ 1) \ z) = (y \ x) * (((y \ x) \ 1) \ z). [para(1047752(a,1),4444(a,1,2,2,1,1,2)),rewrite([643232(7),3176(11),4338(10),492(6),325761(8),70338(13),174(12),3176(14),632934(15),7110(13)])]. 1994639 L(x,y \ (z \ (u * y)),y * (z \ (u * y))) = L(x,z \ u,z * u). [para(5774(a,1),25206(a,1,2,1)),rewrite([12942(4),18069(4),21419(6),14620(10),2535(7),6298(7),7684(6),4179(6),880(6),7298(5),1400379(5),8592(5),81843(3),919(10),881(10),81843(10),81881(10)]),flip(a)]. 1997008 a(x,(y \ L(z,y,y)) * u,w) = a(x,(z * (y \ 1)) * u,w). [para(583546(a,1),5949(a,1,2,1)),rewrite([2321(6),1474431(5),1562965(5),528339(11)]),flip(a)]. 1997601 L(x,L(y,z,u) * (u * L(z,y,y)),w) = L(x,((y \ 1) \ z) * u,w). [para(485456(a,1),877(a,2,2,2)),rewrite([4179(4),872040(4),883(3),8630(7),99840(7),8632(11),99588(11),1832827(9)])]. 1997630 a(x * (L(y * z,z,z) * u),w,v5) = a(x * (u * (z \ y)),w,v5). [para(485456(a,1),2479(a,2,1,2,1)),rewrite([504604(4),99312(6),1811370(5),2529(11),98099(11)]),flip(a)]. 1997679 L(x,L(y,z,z) * (u \ (z \ u)),w) = L(x,L(z,z,u) \ y,w). [para(485456(a,1),10888(a,1,2)),rewrite([12164(9),101862(8),12164(9),11620(9),6114(8),220004(8),11057(8),1235051(8),10941(7),7726(12),7723(12),765291(12),4179(13),3264(12),11277(11),880(9),1833976(5),12164(9),101862(8),12164(9),11620(9),6114(8),220004(8),11057(8),1235051(8),10941(7),7726(12),7723(12),765291(12),8633(16),3264(12),1304529(14),99588(12)]),flip(a)]. 1997700 a(x \ (y * L(z * u,u,u)),w,v5) = a(x \ ((u \ z) * y),w,v5). [para(485456(a,1),8829(a,1,3,3,2)),rewrite([504604(4),2568(11),100002(11),11572(9),10140(9),1876360(8),8828(7),485456(8),4844(11),97610(11)]),flip(a)]. 2003747 (1 / (x * (a(y,z,u) \ x))) * w = (x * (a(y,z,u) \ x)) \ w. [para(9515(a,1),1585687(a,1,2,2)),rewrite([13193(6),5876(5),855552(4),1946965(4),21(14),8202(13),1010(18),67035(18),12958(18),5301(16),108(14),20(12)])]. 2005615 (x * a(y,x,z)) * a(u,w,w) = x * (a(u,w,w) * a(y,x,z)). [para(1950965(a,1),5239(a,1,1)),flip(a)]. 2011932 L(x,a(y,y,z),a(z,y,y) * u) = L(x,a(y,y,z),u). [para(78843(a,2),5964(a,1,1,1)),rewrite([78843(4),6890(6),8128(5),10169(6),1949365(4),1315432(6),5238(6)]),flip(a)]. 2011996 a(x,x,y) * L(a(x,x,y) \ z,a(x,x,y),u) = L(z,a(x,x,y),u). [para(78843(a,2),7183(a,1)),rewrite([6890(5),78843(8),1034329(6),1315432(9),5238(9),2011932(9)]),flip(a)]. 2012061 (L(1 / x,a(y,z,z),u) \ a(z,z,y)) * u = x * (a(z,z,y) * u). [para(78843(a,2),13143(a,2,1)),rewrite([1262244(6),3514(5),5238(6),916412(7)]),flip(a)]. 2012431 R(x,y,L(L(z \ 1,u,w) * v5,z,z)) = R(x,y,L(z,u,w) \ v5). [hyper(1468,a,9068,a(flip),b,9234,a),rewrite([9238(4)]),flip(a)]. 2015434 a(x,(a(y,y,z) * (u \ z)) * w,v5) = a(x,(u \ L(z,y,y)) * w,v5). [para(3823(a,1),9210(a,1,2)),rewrite([816(8),9212(11),901935(10),926554(13),816(12)])]. 2015536 L(x,a(y,y,z),u * L(z,y,y)) = L(x,a(y,y,z),u * z). [hyper(1832,a,9212,a(flip),b,9562,a(flip)),rewrite([1895004(7),2457(8),1961627(8),492(4),1895004(7)])]. 2015609 a(x,y \ L((1 / z) * u,z,z),w) = a(x,y \ (z \ u),w). [para(5850(a,2),9213(a,2,2,2)),rewrite([785(4),10705(4),19(3),832922(7),5876(6),3262(5)]),flip(a)]. 2015647 a(x,a(y,z \ ((u \ 1) * w),v5),v6) = a(x,a(y,z \ (u * w),v5),v6). [hyper(1465,a,9214,a,b,8992,a),rewrite([1874499(6),9214(10),1874499(10),13597(9),1943329(9)]),flip(a)]. 2015712 a(x,a(y,y,z) * (u \ ((y \ 1) * z)),w) = a(x,u \ (y \ z),w). [para(10261(a,2),9214(a,2,2,2)),rewrite([4426(8),524952(5),24(3),20(2),4426(9),29(6),2328(8),1623574(7),3024(17),1832179(14),1832306(14),1469177(16),2015609(13)])]. 2015733 a(x,a(y,y,z) * (u \ (z * (y \ 1))),w) = a(x,u \ (y \ z),w). [para(9482(a,1),9214(a,1,2,2,2)),rewrite([2536(4),1884164(4),20(2),8208(2),2328(8),1764910(7),543818(13),6688(15),8303(13),19(12),2015609(13)])]. 2015746 L(x,a(y,z \ ((u \ 1) * w),v5),v6) = L(x,a(y,z \ (u * w),v5),v6). [para(9214(a,1),8468(a,1,2,2)),rewrite([2015647(6),8468(5),9214(9)]),flip(a)]. 2015764 a(x,y \ (L(z,u \ 1,u) * (u \ 1)),w) = a(x,y \ (u \ z),w). [para(6898(a,1),9214(a,2,2,2)),rewrite([1199731(5),20(2),21(6),2015733(7)]),flip(a)]. 2015807 a(x,(y \ (z * (u \ 1))) * a(u,u,z),w) = a(x,y \ (u \ z),w). [para(5508(a,1),9215(a,1,2,1,2)),rewrite([814(11),1199731(10),20(7),528310(8),10709(17),6898(14),2015764(15)])]. 2016597 a(x,y,(L(z,u,u) \ w) \ 1) = a(x,y,(z \ w) \ a(u,u,z)). [para(3666(a,2),9262(a,2,3)),rewrite([834369(10),759454(7),786(7),1749393(5),9299(5),910(4),814(10),813(9),910(9)]),flip(a)]. 2016621 a(x,y,z * ((u \ w) * a(v5,v5,w))) = a(x,y,(u \ L(w,v5,v5)) * z). [hyper(6966,a,9263,a)]. 2016673 a(x,y,(z \ (((u \ z) \ 1) \ z)) * w) = a(x,y,((z \ u) \ 1) * w). [para(6516(a,2),9263(a,1,3,1)),rewrite([3511(6),785(7),737286(7),207487(10),832152(11),12316(14),1540455(14),1767418(14)])]. 2017934 L(x,x * y,a(z,z,u)) = L(x,y,a(z,z,u)). [hyper(1466,a,216859,a(flip),b,9384,a(flip)),rewrite([8982(4),1890011(4),7244(5),761412(3),1321149(5),21(4),9235(3),5242(2)]),flip(a)]. 2019140 L(L(x,a(y,y,z),u),u,a(y,y,z)) = x * a(u,x,a(z,y,y)). [para(9747(a,2),9405(a,1,1,2)),rewrite([9747(5),1951098(5),841025(4),748740(3),1877407(3),1554852(7),804690(6),754106(5),882942(5),770288(9),1941611(9),4735(8),199761(7)])]. 2019371 L(L(x,x,a(y,z,u)) * L(x \ z,a(x,x,y),u),x,a(y,u,x)) = z. [hyper(1468,a,9407,a,b,11840,a),rewrite([1891965(3),13597(3),761492(3),27660(3),1765207(8)])]. 2019657 L(x,a(y,z,z),z * u) = L(x,a(z,z,y),u). [para(11068(a,1),9410(a,1,1,2)),rewrite([1632877(6),1877400(5)]),flip(a)]. 2019660 L(x,a(y,y,z),y * u) = L(x,a(z,y,y),u). [para(13148(a,1),9410(a,1,1,2)),rewrite([1483479(6),1877399(5)]),flip(a)]. 2021839 a(x * y,a(y,y,z),u) = a(x,a(z,y,y),u). [para(9542(a,1),8301(a,1,1)),rewrite([1943385(6),20(4),1115940(4),1944286(3),1943385(17),20(15),1115940(15),7758(14),9815(14),10448(12),98322(12),245049(8),1844528(5),4002(8),3277(4),29(6),845(8),832(7),7106(7)]),flip(a)]. 2023944 R(x,y,z \ a(u,u \ 1,w)) = R(x,y,z \ a(u,u,w)). [hyper(1468,a,10712,a(flip),b,9234,a),rewrite([9238(4)]),flip(a)]. 2023953 a(x,y,z * (u \ a(w,w \ 1,v5))) = a(x,y,z * (u \ a(w,w,v5))). [para(5809(a,1),10712(a,1,3)),rewrite([2023944(12),5809(12)])]. 2030437 L(x,y,z \ (u * (w * a(v5,v5,u)))) = L(x,y,z \ (L(u,v5,v5) * w)). [para(10047(a,2),9633(a,1,3,2)),rewrite([10047(3),1910218(5)]),flip(a)]. 2035536 (x \ y) \ (((z * (x \ 1)) \ z) \ y) = x \ (1 / (z \ (z / x))). [para(11441(a,1),11296(a,1,1)),rewrite([1366870(7),11441(10),11905(16),1530926(14)]),flip(a)]. 2036177 R(x,y,(L(z \ 1,u,w) \ 1) \ v5) = R(x,y,L(z,u,w) \ v5). [para(11459(a,2),11471(a,1,3)),rewrite([4628(11),11459(9),1907808(9),8592(9),1900361(8),20(6),2012431(6)]),flip(a)]. 2037754 (x / (x \ y)) / y = x / (y * (x \ y)). [hyper(1466,a,11628,a(flip),b,10209,a),rewrite([513682(4),6989(6)])]. 2040020 a(x,y,z * a(y,y,x)) = a(x,y,z). [para(11766(a,1),25(a,1,2)),rewrite([8043(3),25(7),5817(2),215680(2)]),flip(a)]. 2040341 L(x,a(y,z,z),a(y,z,z) * u) = L(x,a(z,z,y),u). [para(9668(a,1),11799(a,1,2)),rewrite([8201(9),1538489(8),528321(6),335445(6),2011932(4),1538489(12),1625944(10),20(7),5238(8),1951099(8),20(4)]),flip(a)]. 2059747 (x * (y \ 1)) * L(y \ 1,y,x) = (x * (y \ 1)) / y. [hyper(1468,a,12341,a(flip),b,150768,a(flip)),rewrite([524186(13),31(10),810139(11),5676(9),2722(9),405(8)])]. 2060402 ((x * y) \ x) * L(y \ 1,y,x) = (y \ 1) * L((x * y) \ x,y,x). [para(4525(a,1),106677(a,1,1,1)),rewrite([6880(6),9236(6),1623803(6),4525(13),6880(14),9236(14)]),flip(a)]. 2062997 a(x,y,a(y,y,x) * z) = a(x,y,z). [hyper(6955,a,2040020,a)]. 2065174 L(x,a(y,z,z),u) \ a(y,z,z) = L(x \ a(y,z,z),a(z,z,y),u). [para(81627(a,1),9562(a,1,1,2)),rewrite([81627(7),81627(8),2040341(6),81627(9),81627(11)]),flip(a)]. 2065387 L(x,(y * z) \ 1,y) = L(x,z \ (y \ 1),y). [para(7058(a,2),81887(a,1,2)),rewrite([11386(7),979(3),881(6),287001(6),9428(10),20(6),20(6),6503(9),12283(8),1644891(8)]),flip(a)]. 2065405 a(x * (y \ z),x,y) = a(z * (x * y),x,y). [para(81887(a,1),13280(a,1,3)),rewrite([9200(9),7106(9),1031242(7),1382911(6),1305869(5),561486(3),7106(8)])]. 2066064 L(x,a(y,z,z),u * a(y,z,z)) = L(x,a(z,z,y),u). [hyper(1832,a,964955,a(flip),b,9569,a),rewrite([8303(4),375(6),2040341(8)])]. 2066065 L(x,a(y,z,z),u \ w) = L(x,a(y,z,z),u * w). [hyper(1832,a,964952,a(flip),b,9569,a),rewrite([375(5)])]. 2066097 a(x,x,y) * (L(z,u,a(x,x,y)) \ u) = z \ (u * a(x,x,y)). [hyper(1468,a,9569,a,b,4995,a),rewrite([9569(10),9195(6),1889937(6),1935644(6),1134716(5)])]. 2066120 L(x,y,z \ u) \ L(x,y,z * u) = a(x,y,a(z,z,u)). [para(5508(a,1),9569(a,1,2,3)),rewrite([5787(7),4680(6),460138(5),5081(3),7107(7),5787(5),814(11),1199731(10),20(7)])]. 2066271 a(x,y,a(z,u,u)) * L(x,y,z * u) = L(x,y,u \ z). [para(9569(a,1),12105(a,1,1)),rewrite([2066120(10),299(8),13597(8),20(8),299(7),13597(7),1941332(7),13597(5),2066120(11),299(9),13597(9),20(9),13597(10),1894886(10)])]. 2066458 a(x,y,L(L(x,x,z * x) * u,x,z)) = a(x,y,z \ (x * (z * u))). [hyper(507,a,5992,a,b,9616,a),rewrite([8789(5),1718287(4),8834(10)]),flip(a)]. 2066461 a(x,y,L(L(x,x,x * z) * u,x,z)) = a(x,y,z \ ((x * z) * u)). [hyper(507,a,8863,a(flip),b,9616,a),rewrite([21(4),13244(10)]),flip(a)]. 2066462 a(x,y,z \ (x * (x * ((x \ z) * u)))) = a(x,y,z \ ((x * z) * u)). [hyper(507,a,8858,a(flip),b,9616,a),rewrite([81725(8),8303(11),8834(12),2066461(11)])]. 2066527 a(x,y,z \ ((x * z) * u)) = a(x,y,z \ (x * (z * u))). [para(8303(a,1),9616(a,1,3,1,1)),rewrite([8303(5),8834(6),2066458(5),8858(10),2066462(10)]),flip(a)]. 2066544 a(x,y,(z \ (u \ z)) \ (x * z)) = a(x,y,u \ (x * (u * (z * u)))). [para(4162(a,1),9616(a,2,3,2,2)),rewrite([81725(3),123882(3),9267(2),5524(6),772842(7),1389480(7),9616(5),683(14),775(15),10149(10)]),flip(a)]. 2066598 a(x,y,(x * (L(z,u,u) \ w)) * a(z,u,u)) = a(x,y,x * (z \ w)). [para(9474(a,1),9616(a,2,3,2,2)),rewrite([9232(2),772462(5),8104(9)]),flip(a)]. 2066643 a(x,y,L(x * (R(z,x,x) \ (x \ u)),x,z)) = a(x,y,z \ u). [para(5597(a,1),9616(a,2,3,2)),rewrite([541593(6),11593(8),6831(5),8051(5),4937(4),6569(3),1218338(4),21(11),786(10),22(9)])]. 2069472 (a(x,y,y) \ z) * a(u,y,w) = z * (a(x,y,y) \ a(u,y,w)). [para(1877381(a,1),9940(a,1,1)),flip(a)]. 2070651 L(x,y,a(z,u * (w \ (u \ 1)),v5)) = L(x,u * (w \ u),a(z,y,v5)). [para(9994(a,2),6919(a,1,3,2)),rewrite([9994(6),11682(6),527927(6),1874159(5),6123(10),1773910(10)])]. 2074742 x \ (a(y,z,u) * (x \ 1)) = a(y,z,u) * (x \ (x \ 1)). [para(10092(a,2),12105(a,2,1,2)),rewrite([5259(4),78378(11),5261(9),10460(12),5262(11),1159097(11),1159129(10),1451084(9),2457(11),8510(11),492(9),4898(10),325809(9),1887973(10)])]. 2075270 L(x,a(y,y,z),L(z,y,y) * u) = L(x,a(z,y,y),z * u). [hyper(1832,a,10104,a(flip),b,9562,a(flip)),rewrite([2066065(7),2457(8),2065174(8),492(4),2066065(7)])]. 2078066 (a(x,y,z) * (u \ 1)) / u = (u \ 1) * (u \ a(x,y,z)). [hyper(1468,a,10794,a,b,7891,a(flip)),rewrite([9428(10),20(6),20(6),374(5),8303(11),19(10),3277(9),20(10),881(10),7114(10),2059747(9),5846(10)])]. 2086915 L(x,(y \ (R(y \ 1,z,u) \ y)) \ w,v5) = L(x,L(y,z,u) \ w,v5). [para(13434(a,1),10514(a,1,2,1,1)),rewrite([1827647(4),9235(2),4175(3)]),flip(a)]. 2086923 L(x,(y \ (z \ L(y,u,y))) \ w,v5) = L(x,(y \ (z \ y)) \ w,v5). [para(6855(a,1),10514(a,1,2,1,1)),rewrite([9893(3),1453796(5),10514(4),11024(7),2685(7)]),flip(a)]. 2094144 ((1 / T(x,y)) / z) \ x = ((1 / x) / z) \ T(x,y). [para(5193(a,1),12510(a,1,1)),rewrite([856(7),732569(10),1225(8)])]. 2098809 x * ((((x \ 1) / y) * z) * (z \ y)) = a(x * y,z,z \ y). [para(8005(a,2),13435(a,1,2)),rewrite([598546(10)])]. 2099378 a(x,y,z) \ L(x,u,x) = L(a(x,y,z) \ x,u,x). [para(13512(a,1),5599(a,1,1,1)),rewrite([5135(3),843152(4),23(4),581339(7),1201118(9)]),flip(a)]. 2103443 a(x * (a(y,z \ 1,z) * u),w,v5) = a((u * a(z,z,y)) * x,w,v5). [para(10744(a,1),7370(a,1,1,2)),rewrite([562661(7),1465934(5),949104(8)]),flip(a)]. 2103459 a(x * (a(y * z,z,z) * u),w,v5) = a((u * a(z,z,y)) * x,w,v5). [para(10744(a,1),6944(a,1,1,1)),rewrite([1481454(7),949104(9),2103443(11)])]. 2103489 a(x \ (a(y,y,z * y) * u),w,v5) = a(x \ (a(y,y,z) * u),w,v5). [para(10744(a,2),8828(a,1,3,3)),rewrite([1768638(11),10911(11),1309294(10),2103459(8),1031396(7),1886527(11)]),flip(a)]. 2104112 a(x,y,L(z \ 1,z,u)) * a(x,z,a(u,y,z)) = a(x,y,z \ 1). [para(11784(a,1),11080(a,2,3)),rewrite([9455(4),9455(8),8789(8),1950381(8),20(6),2520(11),1770320(11),1252919(11),29(11),814(11)])]. 2104335 L(T(x * K(y,z),u),x \ 1,y) = T((y * (1 / x)) \ T(y,z),u). [para(11159(a,1),31(a,1,1)),flip(a)]. 2114940 a((x * y) * ((x \ z) \ (z * y)),u,w) = a(w,u,a(y,x,x * z)). [para(9372(a,2),197327(a,2,1,2)),rewrite([197327(7),13500(7),1399625(6),2565(9)]),flip(a)]. 2115049 a((a(x * y,x,y) * z) * u,w,v5) = a((a(x,x,y) * z) * u,w,v5). [para(9314(a,1),787058(a,1,1)),rewrite([8982(9),203892(9),27660(9),829870(10)])]. 2115063 a(x \ (y * a(z * u,z,u)),w,v5) = a(x \ (y * a(z,z,u)),w,v5). [para(11422(a,1),787058(a,1,1)),rewrite([3523(10),2017934(9),2066097(10)])]. 2120548 T(x / (y * (z / y)),z) \ u = K(y,y \ z) * ((z \ x) \ u). [para(363333(a,1),3580(a,1,1,1)),rewrite([301(10),1181258(10),774(13),7627(12)])]. 2122728 R(x,L(y,z,u) * (y \ w),v5) = R(x,y * (L(y,z,u) \ w),v5). [para(9319(a,1),97581(a,2,2)),rewrite([1902354(5),97581(5),6831(3),10896(4),1956085(4)]),flip(a)]. 2122736 R(x,y \ (z * L(y,u,w)),v5) = R(x,y * (L(y,u,w) \ z),v5). [back_rewrite(1099364),rewrite([2122728(8)])]. 2126131 a(x,y,(z * x) * L(u,x,x)) = a(x,y,((x \ 1) \ z) * u). [hyper(152,a,12493,a(flip),b,10262,a)]. 2128118 R(x,y,(z * ((u * w) \ u)) \ v5) = R(x,y,(z * (u \ (w \ u))) \ v5). [hyper(1468,a,10452,a(flip),b,9234,a),rewrite([9238(6)]),flip(a)]. 2129159 a(x * (y * a(z,u,u * z)),w,v5) = a((a(u,u,z) * y) * x,w,v5). [para(11434(a,2),10568(a,1,1,2,2)),rewrite([11434(5),562661(7),2115049(5),3266(8)]),flip(a)]. 2129646 a(x,y,(z \ a(u,w \ 1,w)) * v5) = a(x,y,v5 * (z \ a(w,w,u))). [para(9087(a,1),10580(a,2,3,1,2)),rewrite([8870(8),174578(8),20(2),9825(6),10580(8),1876917(14),2023953(12)])]. 2130384 L(x,y,a(z,(u * (w \ 1)) * v5,v5)) = L(x,y,a(z,v5 * (u * w),v5)). [para(10612(a,2),10673(a,2,3,2)),rewrite([2079(9),10574(7),7826(7),10673(6),1948779(6),2079(13),818(11),21(10),2323(9)]),flip(a)]. 2131883 R(x,y,z * (((u * (w / u)) \ v5) \ v6)) = R(x,y,z * ((w \ v5) \ v6)). [para(2583(a,1),10685(a,1,3,2,1)),rewrite([304481(10),2120548(11),97380(13)])]. 2132243 a(x * (a(y * z,y,z) * u),w,v5) = a((a(y,y,z) * u) * x,w,v5). [para(11434(a,2),10700(a,1,1,2,1)),rewrite([11434(5),1309294(7),3266(9),2129159(10)])]. 2132423 a(x,y,a(z,x,u * a(w,v5,z))) = a(x,y,a(z,x,u)). [para(43332(a,1),10703(a,1,3,3)),rewrite([1894225(9),19(7),1698253(7),1523862(5),1104566(10),248350(8),8599(7)])]. 2132454 a(x,y,a(z,x,a(z,u,w) * v5)) = a(x,y,a(z,x,v5)). [back_rewrite(1629866),rewrite([2132423(8)])]. 2132507 a(x,L(y \ (z * z),z,z),u) = a(x,z * (z * (y \ 1)),u). [para(37710(a,2),10704(a,2,2)),rewrite([134853(6),1828082(4),37710(10),195772(10)])]. 2132833 a(x,y,L(z \ u,z,u) * w) = a(x,y,((z * (u \ 1)) \ 1) * w). [para(4468(a,2),10711(a,1,3,1)),rewrite([1877303(11)])]. 2133594 (a(x,y,L(y,z,z * u)) \ z) \ u = z \ (a(x,y,y) * u). [para(8051(a,2),10734(a,1,1,1)),rewrite([8051(3),97527(9),8982(9),1894225(9),1943283(9),1432164(7),2069472(6),1633833(5),8937(4),8915(4),9388(5)])]. 2133665 a(x,y,z \ (u * (w * a(v5,v6,w)))) = a(x,y,z \ (u * L(w,v6,v5))). [para(10734(a,1),10840(a,1,3)),rewrite([1628302(12),10734(14)])]. 2133677 a(x,y,z \ (u * a(w,v5,v6 \ 1))) = a(x,y,z \ (u * a(w,v5,v6))). [para(10734(a,1),9861(a,1,3)),rewrite([1700179(14),10734(15)])]. 2135300 L(a(x,x,y) * z,a(x,x,y),z * u) \ u = a(x,x,y) \ (z \ u). [para(4968(a,1),10807(a,1,1,2)),rewrite([331996(5),13110(4),1625944(7),20(5),5238(5),1895004(5),331996(11),8199(11)])]. 2135393 R(x,y,a(z,u,w \ 1) * v5) = R(x,y,a(z,u,w) * v5). [para(3823(a,1),10811(a,1,3)),rewrite([1860(8),502306(11),3823(11),1860(11)])]. 2135419 R(x,y,z \ (u * a(w,v5,v6 \ 1))) = R(x,y,z \ (u * a(w,v5,v6))). [para(10734(a,1),10811(a,1,3)),rewrite([2133677(14),10734(15)])]. 2136295 a(x,((y \ 1) \ ((1 / y) \ z)) \ u,w) = a(x,((z * y) * y) \ u,w). [para(5569(a,2),10826(a,1,2,1,1)),rewrite([154965(12),1952366(8),11900(9),3264(17),1168052(15),10142(14),21(12)])]. 2138384 L(x,x,a(y,z,u)) * (a(x,z,u) \ y) = (a(x,z,u) \ x) * y. [hyper(1465,a,164295,a(flip),b,10915,a(flip)),rewrite([300(6),5264(6),9238(5),32(5),80102(6),686614(6),246818(5),723262(6),9109(7),1950923(7)]),flip(a)]. 2139817 a(x,y,(z \ L(u \ 1,u,w)) \ a(u,u,w)) = a(x,y,(z \ 1) \ u). [para(10992(a,1),12524(a,1,3,1)),rewrite([9035(10),8104(11),8301(9),20(8),9305(8),81738(11),20(9),312883(9),787(14),330976(10)])]. 2140894 T(x,y) * ((((x \ z) / z) * x) \ u) = T(((x \ z) / z) \ 1,y) * u. [para(5463(a,2),12583(a,1,2,1)),rewrite([5463(10),1371245(8),1202761(6),1755273(12),1965790(12)])]. 2144287 (T(x \ y,z) \ 1) \ ((y \ x) * u) = (T(x \ y,z) * (y \ x)) * u. [para(11217(a,1),10119(a,2,2)),rewrite([1698(6),231(4,R),1715(14)])]. 2145897 (x \ 1) * L((y * x) \ y,z,u) = L((y * x) \ y,z,u) / x. [para(11275(a,2),5763(a,1,2,1)),rewrite([587812(6),1954526(5),7178(6)]),flip(a)]. 2145942 ((x * y) \ x) * L(y \ 1,y,x) = L((x * y) \ x,y,x) / y. [back_rewrite(2060402),rewrite([2145897(12)])]. 2145944 L(x \ 1,x,y) * ((z * x) \ z) = L((z * x) \ z,x,y) / x. [back_rewrite(1623803),rewrite([2145897(12)])]. 2150610 R(x,y,L(R(z,u,w) * v5,v6,v7)) = R(x,y,L(L(z,u,w) * v5,v6,v7)). [hyper(1465,a,7546,a(flip),b,11902,a),rewrite([2522(3),13597(8),1217516(8)]),flip(a)]. 2150764 a(x,y,a(z,u,u)) * R(z,y,(u \ 1) \ x) = R(z,y,u * x). [para(11197(a,1),11902(a,1,2)),rewrite([772244(3)])]. 2151204 x * (a(y,z,L(u,x,x)) * u) = (1 / (x * u)) \ a(y,z,u). [para(6547(a,2),11910(a,2,1,2,1,2)),rewrite([8871(4),1382911(4),1538074(5),300(6),6547(9),10460(10),9576(12),8564(13),918962(13),1079450(11),300(11)])]. 2151250 a(x,y,L(z,u * z,u)) * (u * z) = (1 / (u * z)) \ a(x,y,z). [back_rewrite(1538074),rewrite([2151204(9)])]. 2152071 a(x,x,L(y,z * u,z)) = a(x,x,L(y,u,z)). [hyper(507,a,9196,a,b,12065,a),rewrite([1884164(3),1901469(3),12065(7)]),flip(a)]. 2152579 R(x,y,(z \ 1) * ((z \ 1) * u)) = R(x,y,z \ (z \ u)). [para(111353(a,1),12124(a,1,3)),rewrite([241612(11),7814(9),1315493(11),6388(9),1927813(8),638316(6),531563(6),1845(6),1927821(6),1811067(4),1876689(4),7869(13),5900(11),160566(11),96213(15),1927816(10)]),flip(a)]. 2153316 a(x,y,z * L(u * (w \ K(v5,v6)),w,w)) = a(x,y,z * (w \ u)). [para(12236(a,2),2488(a,1,3,2)),rewrite([682(5),329827(8),96210(9),14782(7),2523(8),8303(6),19(5),96205(15),96558(15),1814018(12)])]. 2156020 L(x,L(y,y \ z,u),w) = L(x,L(y,z * y,u),w). [para(71268(a,1),12709(a,1,2,2,1)),rewrite([37658(9),49535(8),4472(5),12709(7),1298941(7),3262(5),878(7),850099(7)]),flip(a)]. 2156032 L(x,L(y,z \ (u \ 1),u),w) = L(x,L(y,u * z,u),w). [para(5608(a,2),12709(a,1,2,1)),rewrite([5608(3),10036(10),4450(10),12709(7),881(7),2065387(7)]),flip(a)]. 2156034 L(x,L(y,z \ (u \ 1),z),w) = L(x,L(y,z \ u,z),w). [para(10906(a,2),12709(a,1,2,1)),rewrite([10906(5),2586(10),621716(8),1298966(5),1662747(5),2008(7)]),flip(a)]. 2156046 L(x,L(y,z \ y,u),w) = L(x,L(y,z * y,u),w). [para(13188(a,2),12709(a,1,2,2,1)),rewrite([13188(7),10036(10),4450(10),10036(6),12709(7),881(7),903(7),615283(7),2156020(6)])]. 2156151 L(x,L(y,z \ u,z),w) = L(x,L(y,z * u,z),w). [back_rewrite(1647045),rewrite([2156032(5),2156034(8)]),flip(a)]. 2156180 L(x,L(y \ z,u * y,u),w) = L(x,(u \ y) \ (u \ z),w). [back_rewrite(1394394),rewrite([2156151(4)])]. 2158104 (x \ y) \ ((L(x,x,z) \ y) * (a(z,x,x) \ u)) = L(u,a(z,x,x),y). [para(8050(a,1),13162(a,2,1,2)),rewrite([2066064(7),252425(6),8157(4),8468(4),1895004(3),2019660(3),299(4),1844627(9)]),flip(a)]. 2158110 (x \ L(y,z,z)) \ ((x \ y) * (a(z,z,y) \ u)) = L(u,a(y,z,z),x). [para(9216(a,1),13162(a,2,1,2)),rewrite([1963477(9),252425(8),1944478(4),8157(3),8468(3),299(4),1523426(9)]),flip(a)]. 2158111 (L(x,y,y) * z) \ ((x * z) * (a(y,y,x) \ u)) = L(u,a(x,y,y),z). [para(9290(a,1),13162(a,2,1,2)),rewrite([1963477(9),252425(8),1944481(4),8157(3),8468(3),299(4),1613015(9)]),flip(a)]. 2158114 (x \ y) \ ((L(x,z,z) \ y) * (a(z,z,x) \ u)) = L(u,a(x,z,z),y). [para(9474(a,1),13162(a,2,1,2)),rewrite([1963477(7),252425(6),1944179(3),1944330(3),8157(3),8468(3),299(4),1844627(9)]),flip(a)]. 2159972 x * (y * a(z,u,L(y,x,x))) = (1 / (x * y)) \ a(z,u,y). [hyper(1467,a,11075,a(flip),b,13294,a),rewrite([2151250(5)]),flip(a)]. 2160563 a(x,y,L(z,u,w \ L(x,y,z))) = a(x,y,L(z,u,L(x,y,z) * w)). [para(207487(a,1),13438(a,1,2)),rewrite([2534(3),831646(3),6917(7),13438(8),2534(7)]),flip(a)]. 2160891 a((x \ y) * ((x * z) \ (y * z)),u,w) = a(x * y,x,a(w,u,z)). [para(13526(a,1),9833(a,1,1)),rewrite([919(11),881(11),81843(11),81881(11),1994639(11),729759(8),3266(8),8982(6),752689(6),823(9),832(9)]),flip(a)]. 2162129 x / (a(y,y,z) * L(u,a(y,y,z),u * x)) = a(y,y,z) \ (x / u). [hyper(1832,a,13396,a,b,13733,a),rewrite([773593(6),1838416(6),8326(4),8468(5),13396(6),299(9)])]. 2162139 x / (y * a(z,u,L(u,y,y * x))) = (a(z,u,u) \ x) / y. [hyper(1832,a,9549,a,b,13733,a),rewrite([9134(7),1724714(7),5242(6),12502(6),9134(7),1724714(7),8755(7),150192(6),299(7)])]. 2163110 R(x,y,a(z,u,u) * (w \ a(u,u,z))) = R(x,y,w \ 1). [hyper(1468,a,11077,a(flip),b,9234,a),rewrite([9238(4)]),flip(a)]. 2164801 T(x,K(y,z)) * (T(y,y * z) \ u) = K(y * z,y) * (x * (y \ u)). [para(239956(a,1),930(a,1,2,2)),rewrite([5254(6),906(6)]),flip(a)]. 2165198 a(x,y,z) / (u \ R(x,y,z)) = 1 / (u \ x). [para(13006(a,1),299967(a,1,2)),rewrite([1880685(6),300(8),11567(11),1106259(11),81843(10),99906(10),20(9)])]. 2169373 T(T(x,y),y) \ (z \ (T(T(x,y),y) * u)) = x \ (z \ (x * u)). [hyper(4954,a,24,a,b,633360,a),rewrite([503(4)]),flip(a)]. 2169628 ((1 / x) * y) \ (z \ ((1 / x) * u)) = ((x \ 1) * y) \ (z \ ((x \ 1) * u)). [para(633360(a,1),5575(a,1,2)),rewrite([2169373(20),1868686(17),5644(16)]),flip(a)]. 2169713 a(x \ (a(y * z,y,z) * u),w,v5) = a(x \ (u * a(y,y,z)),w,v5). [para(633360(a,1),787058(a,1,1)),rewrite([303(9),303(9),303(11),303(11),8131(13),2132243(15),1935645(13),856270(13),1133344(14),22(11),502708(10),2115063(10)])]. 2169858 a(x,y,((a(z,u,w) \ z) * v5) * v6) = a(x,y,(L(z,u,w) * v5) * v6). [para(535575(a,1),4984(a,1,3)),rewrite([5210(7),2902(5),5210(6),814(6),96882(4),1763174(12),1915341(14),198170(11),7245(7),13578(7)]),flip(a)]. 2169882 L(x,y * ((a(z,u,w) \ z) * v5),v6) = L(x,(L(z,u,w) * v5) * y,v6). [para(535575(a,1),8630(a,1,2)),rewrite([5210(7),2902(5),5210(6),883(6),567760(4),1866754(12),1877017(14),214571(12),5860(10),7245(7),13578(7)]),flip(a)]. 2169883 L(x,y * ((z * a(u,w,z)) * v5),v6) = L(x,(L(z,w,u) * v5) * y,v6). [para(535575(a,1),8630(a,2,2)),rewrite([1763174(8),1877017(10),214571(8),5860(6),2839(3),9237(2),1661016(11),5544(12),5544(11),883(11)])]. 2172910 (x * (1 / T(y,x))) \ T(x,z) = T((x * (1 / y)) \ T(x,z),x). [para(3108(a,1),447395(a,2,1)),rewrite([6147(4),1863(6),101097(7),447894(7),923(13),20(12),927(13),6268(12),2104335(12)])]. 2173032 a((x * (y * z)) \ (x * y),u,w) = a(z,u,L(L(w,z * y,x),z,y)). [para(447395(a,1),8839(a,2,1)),rewrite([1618421(8),652607(8),619832(6),878(14),5785(14),1442539(14),8870(12),9855(12),851(10)])]. 2177714 a(x,x,y) * ((z * a(x,x,y)) \ (z * u)) = L(u,a(x,x,y),z). [hyper(507,a,6331,a(flip),b,122890,a),rewrite([5238(5),2011996(6),6173(7),122890(9),1438901(8)]),flip(a)]. 2178953 a(x,L(y \ 1,y,z) \ (a(y,y,z) * u),w) = a(x,(y \ 1) \ u,w). [para(122998(a,1),11193(a,1,2,1)),rewrite([2535(4),4179(4),1400379(4),1634341(4),8069(3),11193(3),8382(11),1517788(11),1875890(11)]),flip(a)]. 2180820 R(1 / x,x,y) \ K(y,z) = (y / (x * T(y,z))) \ 1. [para(3140(a,2),129309(a,1,1)),rewrite([1860(4)])]. 2187586 a(x,((y \ 1) \ ((y \ 1) \ z)) \ u,w) = a(x,((z * y) * y) \ u,w). [para(170150(a,2),11306(a,2,2,1)),rewrite([7645(6),2136295(8),170150(12)]),flip(a)]. 2187633 a(x,y,z * ((u \ ((w / u) \ u)) \ v5)) = a(x,y,z * ((w \ u) \ v5)). [para(9879(a,1),11309(a,1,3,1,1,1)),rewrite([1695227(10),492(5),11309(8),3839(4),3839(10),1950560(10)]),flip(a)]. 2192141 R(x,y,z \ (a(u,w,v5) \ v6)) = R(x,y,z \ (v6 * a(u,w,v5))). [para(11423(a,1),11044(a,1,3,1)),rewrite([1824629(8),8201(12),11422(10)])]. 2193084 L(x,(y \ R(z,u,w)) \ v5,v6) = L(x,(y \ L(z,u,w)) \ v5,v6). [para(11458(a,1),9324(a,1,2,1)),rewrite([2156151(7),1757908(7),2156180(7),21(4)]),flip(a)]. 2193956 a((x * y) * z,u,L(x,x,y)) = a((x \ z) * y,u,x). [hyper(10839,a,11483,a),rewrite([9855(10),7769(8)])]. 2194184 a((x \ y) * z,y,x) = a(y * (x * z),y,x). [back_rewrite(1120401),rewrite([2193956(4)])]. 2194603 R((x \ (1 / x)) * y,z,u) \ w = R(y,z,u) \ ((x \ (1 / x)) \ w). [para(12515(a,1),3869(a,2,1)),rewrite([921(11),9586(11),386(9),384(9)]),flip(a)]. 2197631 ((x \ 1) \ y) * L(x,x,y * x) = (((x \ 1) \ y) * (x * x)) / x. [hyper(507,a,4821,a,b,11626,a),rewrite([81725(10),1118291(10),19(9),11626(12)]),flip(a)]. 2198107 L(x \ L(R(x,y,z),u,w),v5,x) = x \ L(R(x,y,z),u,w). [para(13516(a,1),11825(a,2,1,2,1)),rewrite([919(8),3264(8),8871(6),8789(6),13516(6),640807(5),640807(8),919(9),3264(9)]),flip(a)]. 2200665 a(x,L(y,z \ 1,u) \ w,v5) = a(x,L(y,z,u) \ w,v5). [hyper(1832,a,11717,a(flip),b,63622,a),rewrite([10592(8),63704(6),682(7),48(6),20(5)]),flip(a)]. 2200713 L(x,L(y,z \ 1,u) * w,v5) = L(x,L(y,z,u) * w,v5). [para(8678(a,1),11717(a,1,2)),rewrite([1812412(9),492(4),8678(10),1812412(12),492(9)])]. 2201312 R(x \ 1,y,x) \ (z \ x) = (x \ 1) \ (z \ L(x,y,x)). [hyper(1465,a,11772,a,b,10652,a),rewrite([200373(4),1104(7),131586(7)])]. 2202323 a(x,(y \ ((z / u) \ w)) \ v5,v6) = a(x,(y \ ((u \ z) \ w)) \ v5,v6). [hyper(1832,a,11787,a(flip),b,8410,a(flip)),rewrite([1763491(6),8410(12),391(9)]),flip(a)]. 2207500 L(x,y * (z \ (u \ ((w \ v5) * w))),v6) = L(x,(z \ (u \ v5)) * y,v6). [para(11993(a,1),877(a,2,2,2)),rewrite([302(5),874(7),6909(4),7297(4),878(10),11160(10)]),flip(a)]. 2209372 R(x,y,(((z * u) \ z) \ w) * v5) = R(x,y,((z \ (u \ z)) \ w) * v5). [para(5624(a,1),12123(a,1,3)),rewrite([6388(6),5524(13),10514(13),5624(15),6388(11)])]. 2215148 R(x \ L(L(x,y,z),u,w),v5,v6) = L(x \ L(L(x,y,z),u,w),v5,v6). [para(12428(a,1),10045(a,2,1)),rewrite([5235(5),9373(3),5279(3),502(2),5942(7),12428(4)]),flip(a)]. 2217441 (x * a(y,y,z)) * (u / x) = x * (u / (a(y,y,z) \ x)). [hyper(152,a,20863,a,b,12498,a),rewrite([2299(6),5265(5),26198(6),1344460(6),1731873(9),1460487(8),21(9)])]. 2217450 (x * a(y,y,z)) / (x * ((a(y,y,z) \ x) \ u)) = x / u. [hyper(1832,a,12498,a(flip),b,5063,a),rewrite([396976(12),818(10),850(10),8326(10),12749(10),23(12)])]. 2220798 a(x,(y * y) * (z \ (u \ (y \ 1))),w) = a(x,z \ (u \ y),w). [para(271275(a,1),10575(a,1,2,2,2)),rewrite([1765051(7),31798(11),1471409(11)])]. 2227409 T(((x / y) / y) / x,K(x,z)) = ((x / y) / y) / x. [para(191374(a,1),6738(a,1,1)),flip(a)]. 2244349 a(x,y,a(z * (u \ w),v5,w)) = a(x,y,a(w,v5,w * (z * u))). [hyper(8082,a,11510,a)]. 2244393 L(x,y,a(z * (u \ w),v5,w)) = L(x,y,a(w,v5,w * (z * u))). [hyper(1468,a,11510,a(flip),b,8947,a),rewrite([9238(5),5242(4)]),flip(a)]. 2244402 a(x,y,a(z,u,(w \ z) * v5)) = a(x,y,a(z,u,z * (v5 * w))). [para(200(a,1),11510(a,1,3,3,2)),rewrite([96800(4),795(8)])]. 2244410 a((x \ y) * z,u,a(w,v5,y)) = a(y * (z * x),u,a(w,v5,y)). [para(14300(a,2),11510(a,2,3,3,2)),rewrite([3839(6),977548(6),883601(6),793(9),96210(9),804120(10)])]. 2244411 a(x * (y * z),u,a(w,v5,x)) = a(x,u,a(y * (z \ x),v5,w)). [para(4712(a,2),11510(a,2,3,3,2)),rewrite([96286(5),883601(6),2244410(4),11313(10),883770(10),11512(8)])]. 2244497 a(x * (y * z),u,a(x,w,v5)) = a(x,u,a(y * (z \ x),w,v5)). [para(11510(a,2),12069(a,1,3,2)),rewrite([8982(9),1659055(9),8869(7),8982(10),567595(10),2244411(8)])]. 2244530 a(x,a(y * (z * u),w,y),v5) = a(x,a(y,w,z * (u \ y)),v5). [para(11510(a,2),8765(a,1,1)),rewrite([2244497(8),1943350(9)]),flip(a)]. 2244544 L(x,a(y * (z \ u),w,u),v5) = L(x,a(u,w,u * (y * z)),v5). [para(11510(a,1),9410(a,1,1,2)),rewrite([2244393(9),761494(9)]),flip(a)]. 2245096 a(x,y,(z * L(u,u \ 1,w)) * v5) = a(x,y,(L(u,u,w) * z) * v5). [para(3913(a,1),11514(a,1,3,1,2,1)),rewrite([2172910(6),266130(6),1247253(12),174(8),4981(11),97027(11)])]. 2245693 (L(x,x,y) * z) * a(y,x,L(x,u,w)) = L(x,u,a(w,x,y)) * z. [para(10370(a,1),11652(a,1,1,1)),rewrite([8961(2),9228(2),20(2),299(3),6563(3),8427(3),8871(4),299(8),8871(10),8961(12),9228(12),20(12),122905(12),8199(13),6563(11),1935841(10),42508(10),216469(9)])]. 2246814 L(x,L(T(y,z) * u,w,v5) \ v6,v7) = L(x,L(y * u,w,v5) \ v6,v7). [para(6034(a,1),11880(a,1,2,1,1,1)),rewrite([1881628(8),11880(8)]),flip(a)]. 2250840 R(x,y,((z \ 1) \ (z * u)) \ w) = R(x,y,(z * z) \ (u \ w)). [para(7235(a,1),12233(a,1,3,1,1)),rewrite([919(7),21(6),881(5),21(4),12233(5),1093312(6),1459567(12),21(6)]),flip(a)]. 2250842 R(x,y,(L(z,u,w) \ 1) \ v5) = R(x,y,L(z \ 1,u,w) \ v5). [para(2936(a,1),12233(a,1,3,1,1)),rewrite([3264(10),2535(8),4175(8),11459(8),1907808(8),8592(8),12286(8),78560(4),2932(5),10399(5),285227(5),1537183(5),2706(10),285227(14),1537183(14),2036177(14)])]. 2250921 R(x,y,L(L(z,u,w) * v5,z,z)) = R(x,y,L(z \ 1,u,w) \ v5). [back_rewrite(1537075),rewrite([2250842(9)])]. 2251177 x * (a(y,z,u) * (x \ (x \ 1))) = (x \ 1) * a(y,z,u). [para(12245(a,1),6343(a,1,1)),rewrite([5300(6),100823(5),5242(5),2839(6),4898(5),325809(4),1887973(5),5242(8),5242(10),178655(12),8871(16),12154(17),31878(16),21(18),1715304(15),75489(15),325809(10)])]. 2253120 L(x,y * (z * (a(u,w,v5) \ u)),v6) = L(x,(L(u,w,v5) * z) * y,v6). [para(5133(a,1),12389(a,1,2,2,1)),rewrite([99755(10),843378(4),3264(14),1170764(12),2169882(10)])]. 2257830 a(x,y,y * (L(y,z,u) \ w)) = a(x,y,a(u,z,y) * w). [para(13449(a,1),9006(a,1,3))]. 2257831 R(x,y,y * (L(y,z,u) \ w)) = R(x,y,a(u,z,y) * w). [para(13449(a,2),9009(a,1,3)),rewrite([3266(9),1393565(8),20(6),774207(7),2135393(5),1758023(9)]),flip(a)]. 2258424 L(x,x,a(y,z,u)) * (R(x,z,y) \ u) = a(x,z,y) \ u. [hyper(43363,a,13515,a),rewrite([10837(8),2257830(8),8982(7),2132454(7),19078(6),770514(6)])]. 2260340 x \ (y * a(z,z,L(u,y,y * x))) = (a(z,z,u) \ x) \ y. [hyper(1466,a,12497,a,b,502,a),rewrite([12923(8),168697(8),5282(8),27490(7),1767893(4)])]. 2261002 (x * L(y,x,x)) \ (T(x,x \ 1) * y) = a(x,x \ 1,x * y). [para(12695(a,1),5970(a,1,1,2)),rewrite([39332(4),179968(9),6261(7),782414(9),2554(6),789(14),5780(11)])]. 2261952 a(x,y,z \ (a(u,w,v5 \ 1) * v6)) = a(x,y,z \ (v6 * a(u,w,v5))). [para(10474(a,1),13520(a,2,3,2,1)),rewrite([502306(10),1388478(8),774084(7),20(5),4934(5),384(5),855226(11),2133677(12)])]. 2263096 x \ (y * a(z,y,a(u,u,w))) = a(z,y,a(u,u,w)) * (x \ y). [hyper(6259,a,12503,a(flip),b,12739,a(flip)),rewrite([7359(5),8982(10),8982(9),1840145(9),1890011(9),281740(9),20(8)]),flip(a)]. 2263159 x \ (y * a(z,u,a(w,y,u))) = a(z,y,a(u,u,w)) * (x \ y). [para(12503(a,2),11865(a,1,2,1)),rewrite([12503(4),6343(5),122743(4),761519(5),82266(7),373(8),2263096(8)])]. 2263504 L(x,x * y,a(z,u,u)) = L(x,y,a(u,u,z)). [para(2261002(a,2),9060(a,1,3)),rewrite([2261002(8),1555752(6),20(3),4962(4),9060(3),10673(9),20(7),1014380(7),2017934(6)])]. 2268095 (x * (x * y)) * a(z,u,u) = x * (x * (a(z,u,u) * y)). [hyper(1468,a,9548,a,b,200805,a(flip)),rewrite([3275(4),919(5),3264(5),9344(3),26988(4)]),flip(a)]. 2269147 (x * x) * (L(1 / x,y,z) / u) = (a(z,y,x \ 1) \ x) / u. [para(109349(a,1),2201(a,2,1)),rewrite([31128(9),2190(10)])]. 2269238 a(x,y,L(z \ 1,z,u)) \ u = (u / z) * (a(x,y,z \ 1) \ z). [para(109349(a,2),10645(a,1,1,2)),rewrite([109349(8),8380(9),312908(9),9238(5),4179(6),708061(6),8871(6),1820827(6),772807(6),738194(5),299(10),300(15)])]. 2270086 a(x,y,y \ ((x \ 1) \ z)) = a(x,y,y \ (x * z)). [para(12386(a,1),65713(a,1,1,1)),rewrite([763(14),9613(13),486998(6),11706(10),1354369(10),65713(9),3266(7),910(20),8858(20),22(18),910(14),818(14),10179(14),11425(14),3266(11),8858(9),9221(9)])]. 2287501 x * a(y,y,L(z,x,u)) = u * (a(y,y,z) * (u \ x)). [hyper(152,a,13396,a,b,12572,a),rewrite([8982(6),1697815(6),20(4),1890011(4),761412(4),2263159(5),1218946(5),280848(4),617788(11),1757341(11)])]. 2288003 L(x,y * (R(z,z,u) \ w),v5) = L(x,y * (L(z,z,u) \ w),v5). [para(8050(a,1),12579(a,2,2,2)),rewrite([1702108(5)])]. 2288205 L(x,(a(y,y,z) * (y \ u)) * w,v5) = L(x,w * (L(y,y,z) \ u),v5). [para(8050(a,1),12582(a,2,2,2))]. 2288212 L(x,(a(y,y,z) * (u * z)) * w,v5) = L(x,w * (u * L(z,y,y)),v5). [para(9473(a,1),12582(a,2,2,2)),rewrite([8630(9)])]. 2288940 L(x,L((y \ 1) * z,y,y) \ u,w) = L(x,(y \ z) \ u,w). [para(7661(a,2),12708(a,2,2,1)),rewrite([3866(5),5876(6),319211(5),1643045(9),1366325(6),7661(9)]),flip(a)]. 2289345 L(x,y,(z \ u) \ (w \ (z \ (u * w)))) = L(x,y,a(z,z * u,w)). [para(4312(a,2),13022(a,1,3,2,2,2,1)),rewrite([763(8),100330(9),288464(10),288464(11),10652(11),231(5,R),164890(5),5790(10),4679(8),847780(10),1555064(9)])]. 2289976 ((R(x,y,z) * u) * w) / ((x * u) * w) = a(x,y,L(L(z,u,w),x,u * w)). [para(9235(a,1),13047(a,1,1,1)),rewrite([5799(4),13265(8),13307(11),13278(11),7191(10),772842(10)])]. 2291026 R(x,y,L(z * a(u,u,w),u,u)) = R(x,y,(w \ (u \ w)) * (u * z)). [para(13189(a,2),12124(a,2,3)),rewrite([11664(9),12124(9),1279389(8),1844(5),1614492(5),2311(12),8301(8),20(7),3264(14),882(12)]),flip(a)]. 2293718 a(x,y,a(z,x \ u,w)) = a(x,y,a(z,x * u,w)). [para(5970(a,2),13719(a,1,2,2,2,3)),rewrite([5970(7),1555752(5),13719(8)]),flip(a)]. 2301176 ((x \ (x \ 1)) * y) / z = (x \ (x \ 1)) * (y / z). [hyper(1466,a,558859,a,b,12739,a(flip)),rewrite([13254(9),381(8),20(6)])]. 2301945 (x \ (x \ 1)) * (T(y,x \ (x \ 1)) / z) = (y * (x \ (x \ 1))) / z. [para(1434587(a,2),5675(a,1,2,1)),rewrite([1434587(10),2301176(9),3485(10),2034(9)])]. 2302551 (R(x,y,z) * (u \ 1)) / (L(x,x,a(z,y,u)) * (u \ 1)) = a(x,y,z). [hyper(1466,a,164227,a,b,10915,a(flip)),rewrite([5547(6),5264(7),9238(4),32(6),49556(7),108(6),378(6),9109(6),11634(10)])]. 2303615 x \ a(x * y,y \ 1,y) = ((x \ 1) * y) * (1 / y). [para(865(a,1),123130(a,1,2,2,3)),rewrite([813(8),394821(9),1253584(8),942010(8),1725441(7),865(12)])]. 2303998 a(x,y,x \ 1) * (z * (u * (a(x,y,x \ 1) \ w))) = z * (u * w). [hyper(152,a,6490,a,b,42007,a),rewrite([299(7),22(8),6473(4),299(9),529901(11),530291(10)]),flip(a)]. 2312235 T((x \ 1) * (x \ (y \ x)),T(y,x)) = T(y,y \ x) \ (x \ 1). [para(201863(a,1),74227(a,1,1))]. 2312896 L(x,a(y,z,z),y * u) = L(x,a(y,z,z),u). [para(216155(a,1),10169(a,1,2,1)),rewrite([2158114(7),9474(6),1895004(6),2075270(6)]),flip(a)]. 2313398 L(x,y * ((z \ u) \ z),w) = L(x,y * ((u \ z) * z),w). [para(233244(a,1),879(a,1,2,2)),rewrite([11037(4)])]. 2316386 a(x,y,((z \ (z / u)) \ w) \ v5) = a(x,y,((z \ (u \ z)) \ w) \ v5). [para(244126(a,1),9671(a,1,3,1,1)),rewrite([1695219(5),7001(10)])]. 2318360 R(x,y,x \ L(L(x,z,u),w,v5)) = x. [hyper(1832,a,245897,a(flip),b,10246,a(flip)),rewrite([10970(5),2198107(6),391(6),1811060(4)]),flip(a)]. 2331157 a(x,y,z * L(u \ w,w \ u,w)) = a(x,y,((w \ u) \ 1) * z). [para(164906(a,1),9669(a,1,3,1,2)),rewrite([797(10),1093259(9),917875(5),734827(16),785(15),12316(15),2144287(13),96860(13),1365696(10),6415(12),737286(12),2016673(12)])]. 2334413 R(x,y,z \ L(L(z,u,w),v5,v6)) = L(x,y,z * L(L(z,u,w),v5,v6)). [hyper(507,a,6099,a(flip),b,246294,a),rewrite([5253(4),5253(3),372(1),378(2),2215148(8),246150(13),5253(8),5253(7),372(5),378(6)]),flip(a)]. 2334753 L(x,y,x * L(L(x,z,u),w,v5)) = x. [back_rewrite(2318360),rewrite([2334413(4)])]. 2338748 R(x,y,z * ((u \ w) * L(u,v5,w))) = R(x,y,z * (a(w,v5,u) \ w)). [para(252425(a,1),11664(a,1,3,2)),flip(a)]. 2339454 R(x,y,z * (a(u,w,v5) \ u)) = R(x,y,z * (u * a(v5,w,u))). [para(253235(a,1),11664(a,1,3,2)),rewrite([1254112(9),2338748(9)]),flip(a)]. 2339524 R(x,y,(L(1 / z,u,w) \ 1) * v5) = R(x,y,v5 * (z * a(w,u,z))). [back_rewrite(1698695),rewrite([2339454(11)])]. 2339525 R(x,y,z * (L(1 / u,w,v5) \ 1)) = R(x,y,z * (u * a(v5,w,u))). [back_rewrite(1541707),rewrite([2339454(11)])]. 2340525 T(x / ((x * y) * y),K(x,z)) = x / ((x * y) * y). [para(272455(a,1),129966(a,1,2)),flip(a)]. 2347884 T(x,y * z) \ (z / x) = x \ (z / T(x,z * y)). [para(100308(a,1),254(a,1,2)),rewrite([2917(4),6238(7),3026(6),169223(6)])]. 2366782 (x * L(y,z,z)) \ 1 = (x * y) \ a(z,z,y). [para(469075(a,1),1351(a,2,1)),rewrite([9349(8)])]. 2387181 a(x,y,y) * ((z * a(x,y,y)) \ (z * u)) = L(u,a(y,y,x),z). [para(578510(a,1),9443(a,1,2,2,1)),rewrite([1095035(7),9359(10),2040341(10)])]. 2387628 a(x,y,L(y,z,u)) * (L(y,y,x) * w) = L(y,z,a(u,y,x)) * w. [para(600785(a,1),513(a,1,1,1)),rewrite([299(3),6563(3),8427(3),8871(4),2245693(5),8871(5)]),flip(a)]. 2391344 (x / y) / T(x,y) = x / T(x * y,y). [hyper(1466,a,3846,a(flip),b,660872,a),rewrite([6033(3),762(4),574096(4),21(6)])]. 2402552 (x \ y) * ((y / (y / (y / x))) * z) = (y / x) * ((y / x) * z). [para(492(a,1),539769(a,1,1,2)),rewrite([503(2)])]. 2403276 L(((x * (y \ 1)) \ x) \ z,y,y) = (((x * (1 / y)) \ x) \ 1) * z. [para(11441(a,1),175685(a,2,1,1,2)),rewrite([11695(5),90100(6),11540(4),5524(14),4846(14),6402(12),457815(12),5326(16),21(14),742(13),45(14),5791(13),372(11),12820(13),373(10),20(10),380(9),376(10),1155653(12)])]. 2410269 L(x,(a(y,z,z) * u) \ (L(z,z,y) \ 1),w) = L(x,u \ (z \ 1),w). [para(751555(a,1),12516(a,1,2,1)),rewrite([1827647(7),757861(10),2008(13),1845557(13),203452(11)])]. 2433419 a(x,y * (y * x),L(z,y,y)) = a(x,y * (y * x),z). [hyper(1465,a,226276,a,b,764049,a(flip)),rewrite([284389(11),226276(12),1542400(11),10140(8),13256(7),78256(7),29(5),303(4),2327(10),10140(9),13256(8)]),flip(a)]. 2435664 R(x,x,(y \ (z \ y)) \ u) = R(x,x,u * z). [para(79476(a,2),782494(a,1,3,2)),rewrite([1315499(4),1724804(4),10399(6),12052(6)]),flip(a)]. 2435668 R(x,x,(y \ z) \ u) = R(x,x,u * (z \ y)). [para(7852(a,1),782494(a,1,3,2)),rewrite([6388(6),782494(5),10399(3),10399(8),12052(8),2435664(8)])]. 2435703 R(x,x,y * ((z \ u) \ L(u,w,v5))) = R(x,x,y * (a(v5,w,u) \ z)). [para(13014(a,1),782494(a,1,3,2)),rewrite([977527(5),10399(9),2435668(9)])]. 2435718 R(x,x,(y \ z) * (u * u)) = R(x,x,z * (y \ (u * u))). [para(69653(a,1),782494(a,1,3,2)),rewrite([20(5),198212(4),6388(6),69653(9),55792(10),151827(10)]),flip(a)]. 2435723 R(x,x,y * (a(z,u,w) \ v5)) = R(x,x,y * (a(w,u,z) * v5)). [para(10468(a,1),782494(a,1,3,2)),rewrite([1253011(5),977527(5),2435703(5),10399(9),2435668(9),13408(7)])]. 2446351 a(x,y,(z * u) * (x \ a(u,u,z))) = a(x,y,x \ ((u \ 1) \ z)). [para(11766(a,2),804690(a,1,3)),rewrite([9305(5),4982(9),95680(9)])]. 2447254 (a(x,x,y) * z) / L(u,z,a(x,x,y)) = a(x,x,y) * (z / u). [hyper(507,a,2489,a,b,832106,a),rewrite([1391641(5),2017934(5),832106(9)])]. 2447442 a(x,x,L(y,z,u)) * (u \ z) = u \ (z * a(x,x,y)). [para(832106(a,2),7068(a,1,2,2,2)),rewrite([832106(5),26990(6),2152071(4),1940983(4),8871(6),1884164(6),2152071(6)]),flip(a)]. 2448219 L(x,a(y,y,z),u * z) = L(x,a(z,y,y),u). [para(832130(a,1),10169(a,1,2,1)),rewrite([2158110(7),9216(7),1895004(5)]),flip(a)]. 2448269 L(x,a(y,y,z),u * L(z,y,y)) = L(x,a(z,y,y),u). [back_rewrite(2015536),rewrite([2448219(7)])]. 2448645 L(x,a(y,z,z),u) \ a(z,z,y) = L(x \ a(z,z,y),a(y,z,z),u). [para(833191(a,1),9562(a,1,3)),rewrite([919(5),1895004(5),2448219(5),919(8),1895004(8),2448269(8)]),flip(a)]. 2448683 L(x * a(y,y,z),a(z,y,y),u) * u = x * (a(y,y,z) * u). [back_rewrite(2012061),rewrite([2448645(6),78843(4)])]. 2449006 R(x,y,y) / (a(y,y,z) * (u * a(x,y,y))) = x / (u * a(y,y,z)). [hyper(1832,a,9453,a(flip),b,841477,a)]. 2449242 L(x,y,a(z,z,u)) \ (a(u,z,z) * y) = a(u,z,z) * (x \ y). [para(841477(a,2),1998(a,1,2)),rewrite([1391641(3),2263504(3),841477(5),7359(9)])]. 2449249 L(L(x,a(y,z,z),u),u * a(y,z,z),u) = L(x,u,u). [para(841477(a,2),5631(a,1,2,1)),rewrite([8871(2),9240(2),841477(4),1319762(5),21(4)]),flip(a)]. 2449355 L(x,y,a(z,z,u)) \ (y * a(u,z,z)) = a(u,z,z) * (x \ y). [para(841477(a,2),11937(a,2,1)),rewrite([1391641(3),2263504(3),300(7),841477(9),7359(9)])]. 2452845 a(x,y,y) \ (z \ x) = z \ (a(x,y,y) \ x). [para(11775(a,1),847958(a,1,2,2)),rewrite([93458(3),9235(2),13265(2),8149(2)])]. 2454780 T(x,y) \ ((T(x,y) / z) / z) = x \ ((x / z) / z). [hyper(507,a,2425,a,b,848838,a),rewrite([129031(5),848838(8)]),flip(a)]. 2454888 (x \ ((x / y) / y)) * K(x,z) = ((x * y) * y) \ T(x,z). [hyper(1466,a,848838,a(flip),b,2112,a),rewrite([1105(5)])]. 2454979 K(x,y) * (x \ ((x / z) / z)) = x \ ((T(x,y) / z) / z). [para(848838(a,2),2192(a,1,2)),rewrite([848838(6),2454780(6)])]. 2455097 ((x * y) * y) \ T(x,z) = x \ ((T(x,z) / y) / y). [para(848838(a,2),11270(a,1,2)),rewrite([5905(3),13622(3),1787(4),14926(3),396(3),614(2),848838(4),2454979(5),2454888(9)]),flip(a)]. 2455110 x \ ((T(x,y \ (y \ 1)) / y) / y) = x / ((x * y) * y). [para(848838(a,1),47905(a,1,1)),rewrite([848838(8),1149132(10),137576(10),12040(10),41696(10),6357(9),199294(9),2454888(8),2455097(7),6357(13),749(14),1733(14),749(12),2340525(12)])]. 2455111 ((x / y) / y) / x = x / ((x * y) * y). [para(848838(a,2),47905(a,1,1)),rewrite([848838(3),1149132(8),476219(8),142220(8),12040(8),41696(8),2454888(8),2455097(7),2455110(7),2227409(8)]),flip(a)]. 2455114 1 / (((x * y) * y) / x) = (((x * y) * y) / x) \ 1. [para(848838(a,1),18536(a,1,2,2)),rewrite([336827(10),2668(10),1010(10),5297(10),21(5),149013(8),22(7),376(6)]),flip(a)]. 2471198 a(x,x,y) \ (z / (x * z)) = z / (R(x,x,y) * z). [hyper(1465,a,1069295,a,b,11610,a(flip)),rewrite([1069295(9),11610(8),1371257(6),5135(5),8430(5)])]. 2474348 (a(x,y,z) / x) / x = (x * x) \ a(x,y,z). [hyper(1832,a,5219,a(flip),b,1121502,a),rewrite([9235(4),13445(4),119529(3)]),flip(a)]. 2474549 (((x * y) * y) / x) \ 1 = (x / ((x / y) / y)) \ 1. [para(1121502(a,1),4716(a,1,1)),rewrite([1121502(6),969(9),18185(9),5297(9),21(5),149013(7),22(6),988805(6)])]. 2474630 ((x * y) * y) / x = x / ((x / y) / y). [para(1121502(a,2),4307(a,1,2,2)),rewrite([848838(6),1121502(9),5326(10),21(8),142009(8),160918(8),137543(8),374(4),108(6),20(5),2455114(9),2474549(9),391(10)])]. 2482520 L(x,y,(z * (u \ (u \ w))) * v5) = L(x,y,(L(w,u,u) * z) * v5). [para(11320(a,1),1611516(a,2,3,1,1)),rewrite([250249(7),289137(9),1641238(7),1768517(5),1768805(11),1768763(9)]),flip(a)]. 2482614 L(x,y,(L(z,u,z * u) \ w) * v5) = L(x,y,v5 * (L(z,u,u) \ w)). [para(12587(a,2),289156(a,1,3,1,1)),rewrite([7107(4),978482(12),978603(12),1819475(10)])]. 2486548 L(x,y,a(z,x,u)) \ (a(u,y,x) \ z) = (x * a(u,y,x)) \ z. [hyper(1832,a,8891,a(flip),b,65711,a),rewrite([6569(3),6569(6),1827347(7),5002(6),772028(8),949029(6),5079(6),299(6),13597(6),281038(6)])]. 2486704 L(x,y,a(z,u,u * (z \ w))) = L(x,y,a(z,u,u * (z * w))). [para(65711(a,1),5648(a,1,3)),rewrite([3266(7),2270086(5),1388319(4),1207993(12),65711(9),1388319(8)]),flip(a)]. 2486705 a(x,y,a(z * (u * w),z,u)) = a(x,y,a(u,z,u * (z \ w))). [para(65711(a,2),8947(a,1,2,3)),rewrite([65711(5),1388319(4),2486704(4),8947(5),8301(7),1837302(8)])]. 2487195 a(x,y,L(y \ 1,z,u)) * ((L(x,z,u) * y) \ x) = y \ a(u,z,x). [para(9237(a,1),65756(a,1,1,3,2)),rewrite([8870(4),1964213(4),9237(10)])]. 2488076 a(x,y,z * (u \ (((w \ u) \ 1) \ u))) = a(x,y,((u \ w) \ 1) * z). [para(317114(a,1),787(a,1,3,2,1)),rewrite([11200(7),11761(7),95877(12),2331157(12)])]. 2492501 (a(x,x,y) * (z * a(u,u,x))) \ R(u,u,x) = (z * a(x,x,y)) \ u. [para(9453(a,1),1245808(a,1,1))]. 2492538 (L(x,y,a(z,z,u)) * y) \ z = (x * (y * a(z,z,u))) \ R(z,z,u). [para(8498(a,1),1245808(a,1,1)),flip(a)]. 2503793 (a(x,y,y) \ z) / L(u,z,a(y,y,x)) = a(x,y,y) \ (z / u). [para(8051(a,2),614318(a,1,1,1)),rewrite([8051(4),8199(4),1391641(5),2263504(5),8199(10)])]. 2505136 a(x,(y \ (y \ z)) \ 1,u) = a(x,y * (y * (z \ 1)),u). [para(201164(a,1),6398(a,1,2,1)),rewrite([10142(7),2202323(7),11756(7),1828082(4),2132507(4),10277(14),2347884(10),976(8),1818026(14),732670(14),742(12),5780(14),494849(12)]),flip(a)]. 2505167 a(x,y,z \ ((u * u) \ L(w,u,u))) = a(x,y,z \ (u \ (u \ w))). [para(201164(a,1),5992(a,2,3,2)),rewrite([976(3,R),497(7),778(6),1239346(4),976(2,R),10158(6),436986(6),778(12),10018(12),9858(12),152596(9)]),flip(a)]. 2505283 a(x,y * (y * (x \ 1)),L(z,y,y)) = a(x,(x \ y) * y,z). [back_rewrite(1123480),rewrite([2505136(6)])]. 2515873 a(x,(y * y) \ ((z \ 1) \ u),w) = a(x,(z \ (y * y)) \ u,w). [para(183667(a,1),818(a,2,2)),rewrite([5645(5),10179(6),10277(6),10142(10)])]. 2516059 a((((x \ (y * y)) \ z) \ u) * w,v5,v6) = a(w * ((x \ z) \ u),v5,v6). [para(183667(a,1),11812(a,2,1,1,1)),rewrite([5645(5),5728(6),98497(8),11812(6),451213(6),621176(6),451213(10)]),flip(a)]. 2516095 a(x,(y \ (z * z)) \ L(u,y,y),w) = a(x,u * ((z * z) \ y),w). [para(183667(a,1),9211(a,2,2)),rewrite([881(5),2200665(9),155107(7),455752(6),816(7),1138288(4),919(11),3264(11),881(9),1469400(11),10142(9)]),flip(a)]. 2518078 (K(x,y) / y) * (1 / z) = (1 / y) * (K(x,y) / z). [hyper(507,a,10785,a,b,317092,a),rewrite([2143(6),927(12),317074(12)]),flip(a)]. 2523249 ((x \ a(y,z,u)) / x) \ (a(y,z,u) * (x \ 1)) = L(x,x,a(y,z,u)). [para(13108(a,1),1654350(a,1,2)),rewrite([8982(12),1391676(12),771907(12),13597(11),9235(11),5242(10)])]. 2527878 x \ (x / (y * (x \ y))) = (y * (x \ y)) \ 1. [para(2037754(a,2),6376(a,2,2)),rewrite([1368315(10),1948787(9),1483439(7),9230(6),2037754(7)]),flip(a)]. 2529678 a(x,y,(((z * u) \ z) \ w) \ v5) = a(x,y,((z \ (u \ z)) \ w) \ v5). [para(2391344(a,1),7001(a,1,3,1,1)),rewrite([7001(6),1084706(6),1084706(11),2316386(10)])]. 2530407 (x * (a(y,z,u) \ x)) \ 1 = (a(y,z,u) / x) / x. [para(2455111(a,2),4569(a,2,2)),rewrite([7042(5),8135(6),10585(7),2527878(7),299(11),22(12)])]. 2531398 1 / ((a(x,y,z) / u) / u) = u * (a(x,y,z) \ u). [hyper(6259,a,2474630,a,b,13369,a),rewrite([813(7),778(7),818(7),10179(7),1123486(8),1784598(7),8871(2),8870(5),8871(4),789260(5),6494(4),383(4),300(7),7042(9),299(11),8135(11),21(12)])]. 2531409 1 / (x * (a(y,z,u) \ x)) = (a(y,z,u) / x) / x. [hyper(1832,a,2474630,a,b,7617,a),rewrite([7042(4),299(6),8135(6),10585(7),2527878(7),2530407(5),2531398(9)]),flip(a)]. 2532106 (x * (a(y,z,u) \ x)) \ w = ((a(y,z,u) / x) / x) * w. [back_rewrite(2003747),rewrite([2531409(5)]),flip(a)]. 2536887 a(x,y,a(z,u \ ((w * w) \ v5),v6)) = a(x,y,a(z,u \ v5,v6)). [para(2301945(a,1),9571(a,1,2)),rewrite([818(7),1469299(7),1929480(5),289373(13),554642(10),818(9),1469224(9)]),flip(a)]. 2538584 R(x,y,z) \ R((x * x) * u,w,v5) = R(1 / x,y,z) \ R(u,w,v5). [hyper(1465,a,10943,a,b,860435,a),rewrite([10943(8),5164(4)])]. 2538800 L(x,(y * y) * (z \ L(1 / y,u,w)),v5) = L(x,z \ L(y,u,w),v5). [para(860435(a,1),11036(a,2,2)),rewrite([7290(9),1363664(9),1757839(9),11036(7),8633(7),22(6),1178596(10)]),flip(a)]. 2540940 L(x,y * (L(z,z \ 1,u) \ w),v5) = L(x,y * (L(z,z,u) \ w),v5). [para(1153387(a,1),11037(a,1,2,2)),rewrite([2288003(4),1764232(11),1101149(9)]),flip(a)]. 2542958 a(x \ y,x \ (z * z),u) = a(y * x,x \ (z * z),u). [para(198199(a,1),8301(a,1,1)),rewrite([818(8),847(8),900(6),4738(6),818(12),4736(12),832(10),98762(10)])]. 2544511 L(x,y \ (a(z,u,w \ 1) * w),v5) = L(x,y \ L(w,u,z),v5). [para(2269147(a,1),878(a,1,2)),rewrite([881(6),1701067(6),2538800(13)])]. 2552928 L(x,a(y,z,z),L(z,z,y) * u) = L(x,a(y,z,z),u). [para(8537(a,1),13771(a,2,3)),rewrite([299(4),10203(7),8537(4),1844975(7),2158104(7),919(6),2066065(6)]),flip(a)]. 2573566 a((x * L(y * z,z,z)) * u,w,v5) = a(((z \ y) * x) * u,w,v5). [para(11572(a,1),42430(a,1,3)),rewrite([1997700(8),42430(7)]),flip(a)]. 2590628 (x * a(y,y,z)) / T(x * ((a(y,y,z) \ x) \ u),w) = x / T(u,w). [para(12498(a,1),451630(a,1,2,2)),rewrite([2217441(4),11129(5),5348(5),5265(3),64000(4),2217450(9),94869(4),155(2),12498(8)]),flip(a)]. 2593835 ((x * y) * z) \ (y * (z * a(x,y,z))) = (x * (y * z)) \ (y * z). [para(9314(a,1),78830(a,1,2)),rewrite([1529405(4),5292(6),78830(6),9314(8)]),flip(a)]. 2593965 (L(x,y,z) * (x \ u)) \ ((x * a(z,y,x)) \ u) = u \ (x \ u). [para(9367(a,1),78830(a,1,2)),rewrite([1905596(4),10705(4),5221(4),5545(7),22(5),1311101(4),9367(6),1158832(9)]),flip(a)]. 2603107 a(x,y \ ((z * (u \ 1)) * (u \ 1)),w) = a(x,y \ (u \ (u \ z)),w). [para(327806(a,1),9214(a,2,2,2)),rewrite([3264(8),846570(6),5867(5),1199731(6),20(3),3264(10),846570(8),5867(7),21(8),2015733(9),10179(18),21(16)]),flip(a)]. 2612554 a(x,y \ (z \ y),y \ 1) = a(x,z \ 1,y \ 1). [para(9338(a,1),81759(a,1,2)),rewrite([1568699(8),841145(6)]),flip(a)]. 2613070 a(x \ (a(y,z,z * y) * u),w,v5) = a(x \ (u * a(z,z,y)),w,v5). [para(93408(a,1),10270(a,1,1,2,1)),rewrite([2169713(5),8870(7),149363(7)]),flip(a)]. 2613240 a(x,(y * x) * y,L(z,u,u)) = a(x,(y * x) * y,z). [hyper(152,a,9241,a(flip),b,97938,a),rewrite([97938(5),1044049(4),1044049(8)]),flip(a)]. 2636639 L(x,y * (R(z,u,w) \ v5),v6) = L(x,y * (L(z,u,w) \ v5),v6). [para(183578(a,1),901(a,2,2,1)),rewrite([32(4),1072669(7),152103(7),183549(4),2364(5),10386(6),99571(6),2364(9),10386(10),99571(10)]),flip(a)]. 2637203 L(x,y * (z \ (u \ a(w,v5,w))),v6) = L(x,(z \ (u \ 1)) * y,v6). [para(531478(a,1),877(a,2,2,2)),rewrite([508(5),99572(7),6909(5),7297(5),878(10),11160(10)]),flip(a)]. 2644687 R(x,y * ((z \ u) * L(z,z,w)),v5) = R(x,y * (a(w,z,z) * u),v5). [para(8051(a,1),126370(a,2,2,2)),rewrite([881(3),430225(7),126370(7),1624700(9)])]. 2645521 L(a(x,y,y) * z,a(x,y,y),z * u) \ u = a(x,y,y) \ (z \ u). [para(246771(a,2),10807(a,1,1,2)),rewrite([299(3),13110(4),246771(5),1625944(7),20(5),5238(5),2066065(5),299(9),8199(11)])]. 2647147 a(x,L(y,z,x) * u,y) = a(x,y * u,y). [hyper(152,a,1627613,a,b,251626,a),rewrite([8870(3),19078(4),9425(3),5117(4),5943(4),1119270(4)])]. 2648851 L(x,L(y * (z \ 1),z,z) \ u,w) = L(x,(z \ y) \ u,w). [para(78548(a,2),9936(a,2,2,1)),rewrite([6112(7),895(10),819624(7),4175(8),8303(6),19(5),2288940(6),78548(11),2246814(10)]),flip(a)]. 2676301 a(x,L(y \ 1,y,z) \ (u * y),w) = a(x,(y * L(y,y,z)) * u,w). [para(179926(a,1),8552(a,1,2,1)),rewrite([174578(10),20(7),1012728(10),151763(8),1134346(6),1472849(5),1517892(6),1972085(6),10709(15),2200665(12)]),flip(a)]. 2680392 a(x,y * (y * (x \ 1)),z) = a(x,x \ (y * y),z). [para(544292(a,2),761625(a,2,1)),rewrite([492(13),900(11),4738(11),540182(9),13256(9),2433419(8),3266(7),544292(10),10142(18),832(18),1838204(18),19(11),373(15),97938(14),2613240(13),1501160(12),134853(12),2542958(10),19(7)])]. 2680396 a(x,x \ (y * y),z) = a(x,(x \ y) * y,z). [back_rewrite(2505283),rewrite([2680392(6),199740(4)])]. 2680450 x \ L(y,z \ (u * u),z) = x \ L(y,(z \ u) * u,z). [back_rewrite(834414),rewrite([2680396(3),1579788(5)]),flip(a)]. 2680623 a(x,x,y) * L(z,a(x,x,y),u) = L(a(x,x,y) * z,a(x,x,y),u). [hyper(152,a,832106,a,b,544309,a),rewrite([6173(5),1438901(7),2177714(7),832106(5),5238(8)])]. 2681088 x / L(a(y,y,z) * u,a(y,y,z),u * x) = a(y,y,z) \ (x / u). [back_rewrite(2162129),rewrite([2680623(5)])]. 2683722 a(x,y,((z \ (u / w)) \ v5) \ v6) = a(x,y,((z \ (w \ u)) \ v5) \ v6). [para(67860(a,1),9850(a,1,3,1,1)),rewrite([535394(7),923(12),853(10),152632(14)])]. 2687982 R(x,y,(z \ u) * a(w,v5,z)) = R(x,y,u * L(u \ (z \ u),v5,w)). [para(9436(a,1),404685(a,2,3)),rewrite([2192141(7),2135419(7),1289319(4),1315391(5)])]. 2689722 a(x,x * y,L(L(z,u,w),z,L(y,u,w))) = a(x,x * y,L(z,u,w)). [hyper(507,a,65558,a,b,553656,a),rewrite([65558(11),8524(7)]),flip(a)]. 2690507 L(x,y \ (z * z),y) = L(x,(y \ z) * z,y). [para(55813(a,1),5631(a,2,2)),rewrite([3501(8),12608(6),3501(12),2680450(11),1104(11),676(11),12604(8),3501(9),302(7),3501(12),883(10),879(9),3384(7),881(6)]),flip(a)]. 2693493 a(x,(L(y * y,z,u) \ w) * v5,v6) = a(x,w * ((y * y) \ v5),v6). [para(542693(a,1),10571(a,2,2)),rewrite([626(2),5876(3),1138288(4)]),flip(a)]. 2700009 ((x \ 1) * y) \ (z \ ((x \ 1) * y)) = (x \ y) \ (z \ (x \ y)). [para(79600(a,2),130305(a,1,1)),rewrite([216908(8),32(8),334694(8)]),flip(a)]. 2724933 R((x * y) \ y,x * (L(x,z,u) \ y),x \ 1) = y \ (x \ y). [para(4909(a,1),842434(a,1,1,1)),rewrite([1028293(6),2122728(8),6831(15),698205(15),2593965(15)])]. 2725004 ((x * y) * z) \ (x \ ((x * y) * z)) = (x * (y * z)) \ (y * z). [para(9381(a,1),842434(a,2,2)),rewrite([842434(11),2593835(12)])]. 2728524 x \ (y \ (a(y,x \ (y \ z),x) \ z)) = T(y \ (z / x),x). [para(37468(a,2),938093(a,2,2,1)),rewrite([6569(6),4937(5),37468(11),597876(11),21(11)])]. 2743129 a(x \ (y \ x),z,((x \ 1) * y) \ u) = a(y,z,y \ ((x \ 1) \ u)). [para(5517(a,1),1030789(a,1,3))]. 2746866 (a(x,y,z) / u) * (u * x) = a(x,y,z) * L(x,u,u). [hyper(152,a,9637,a,b,1121564,a),rewrite([9637(5),1836915(4)]),flip(a)]. 2747361 a(a(x,y,z) * u,u,x) = a(u,u,x). [back_rewrite(1358886),rewrite([2746866(5),748175(5)]),flip(a)]. 2760521 a(x,y * a(z,u,a(z,w,v5) * u),v6) = a(x,a(u,u,z) * y,v6). [para(2747361(a,1),8620(a,1,2,1)),flip(a)]. 2763136 L(x,(y \ L(y / z,z,z)) \ u,w) = L(x,(z \ 1) \ u,w). [para(1268825(a,1),903(a,1,2,1)),rewrite([903(5),151182(5)]),flip(a)]. 2765074 L(x,y,((z \ (z \ u)) \ w) * v5) = L(x,y,v5 * (L(u,z,z) \ w)). [para(1433375(a,1),6913(a,1,3,1,1)),rewrite([6913(7),1768641(7),1768706(7),289156(12),1249488(10),8303(7),2482614(10)])]. 2784762 L(x,L(y \ z,z,z),a(u,w,y)) = L(x,w,a(y,y * z,u)). [para(1646763(a,1),8748(a,1,3)),rewrite([1555752(3)]),flip(a)]. 2787476 L(x,L(y,z,u) * w,a(u,v5,y)) = L(x,v5,a(u,y * w,y)). [para(2647147(a,1),8746(a,1,3)),flip(a)]. 2817024 a(x,y,(z * (L(u \ 1,w,u) \ 1)) \ v5) = a(x,y,(z * u) \ v5). [para(499574(a,1),10151(a,2,3,1,2)),rewrite([1506277(8),979(7),745256(8),9572(6),8424(3),20(2),990805(4)]),flip(a)]. 2819609 L(x,x,a(y,z,u)) * ((a(x,z,y) \ x) \ u) = u * a(x,z,y). [hyper(507,a,4935,a(flip),b,19041,a),rewrite([8424(5),9109(5),992202(5),5238(7),4973(7),1388406(9),250928(9),633481(8)]),flip(a)]. 2825943 a(x,y,x \ 1) \ (z / (u * (a(x,y,x \ 1) \ w))) = z / (u * w). [hyper(1466,a,314821,a,b,529901,a),rewrite([529901(5),897996(6),126120(20),125507(21),5300(22),9706(18),8163(15),42007(16),2303998(16),314821(8),23(4),529901(10)]),flip(a)]. 2825954 x / (y * (a(z,u,z \ 1) \ w)) = (x / (y * w)) * a(z,u,z \ 1). [hyper(1466,a,529901,a,b,7426,a),rewrite([529901(8),2825943(10),5285(12),8163(9),489660(10),652654(8),23(4),682(8),1262209(8)]),flip(a)]. 2826728 R(x * y,z,u) / R(y,y,w) = R(y,y,w) \ R(y * x,z,u). [para(322621(a,1),8431(a,1,2)),rewrite([4930(5),1606610(5)]),flip(a)]. 2826873 R(x,x,y) * L(R(y,z,u),x,x) = (1 / (x * y)) \ a(y,z,u). [para(201664(a,1),322621(a,1,1,1)),rewrite([2826728(7),3507(5),2538584(5),1542371(5),5135(9),8430(9),9236(8),34(8)]),flip(a)]. 2840385 ((x / T(y,z)) \ u) * K(y,y \ 1) = (x / T((y \ 1) \ 1,z)) \ u. [hyper(152,a,10502,a(flip),b,364144,a),rewrite([1084561(14)])]. 2842051 a(a(x,x,y) * (z \ L((u * u) \ y,x,x)),w,v5) = a(z \ y,w,v5). [para(9216(a,2),183814(a,1,1)),rewrite([81640(3),1465888(9),22(2)])]. 2845831 T((x \ 1) * (x \ (y \ z)),T(y,z)) = T((x \ 1) * (x \ (y \ z)),y). [para(4356(a,2),88525(a,1,1,1)),rewrite([4356(6),24993(5),5846(5),24993(12),5846(12)])]. 2845857 T((x \ 1) * (x \ (y \ x)),y) = T(y,y \ x) \ (x \ 1). [back_rewrite(2312235),rewrite([2845831(7)])]. 2850317 x * (a(y,z,a(u,w,x)) * a(u,x,a(z,w,y))) = L(x,a(y,w,u),z). [hyper(6259,a,9408,a(flip),b,27660,a),rewrite([8870(5),8946(4),1388484(5),300(5),8870(5),8946(4),1388484(5),13597(8),122813(8)]),flip(a)]. 2850354 x * L(x \ y,z,a(y,u,w)) = L(y,u,a(w,z,x * y)). [hyper(152,a,12745,a,b,27660,a),rewrite([5242(3),1389250(7)])]. 2861128 L(x,y,x) \ (z * (x \ u)) = x \ (z * (L(x,y,x) \ u)). [para(239956(a,1),183430(a,2,2,2)),rewrite([2164801(7),2425(7),239956(7)])]. 2911532 L(x,a(y,y,z),z * u) = L(x,a(z,y,y),u). [para(9290(a,1),25217(a,1,1,2)),rewrite([299(3),8200(4),1877380(9),1613015(7),2158111(7),9290(9),1625944(7),20(5),5238(5)]),flip(a)]. 2916426 a(x,y \ (((z \ 1) * u) * (z \ 1)),w) = a(x,y \ (z \ (z \ u)),w). [para(822419(a,1),10708(a,1,2,2)),rewrite([10574(8),5138(14),10574(16),2603107(16)])]. 2937945 R(x,y,(R(z,u,w) \ v5) \ 1) = R(x,y,(L(z,u,w) \ v5) \ 1). [para(132118(a,1),11197(a,1,3,1)),rewrite([919(9),3264(9),4179(7),880(7),1819935(7),460106(7),2150610(7),1879285(7),2006(13),1879138(13),1705433(11)]),flip(a)]. 2938208 R(x,y,(L(z \ 1,u,w) \ 1) * v5) = R(x,y,L(z,u,w) * v5). [para(560633(a,1),11471(a,1,3,1)),rewrite([2150610(5),2250921(5),8264(5),3208(15),11006(13),7546(13),95848(13)])]. 2938387 a(x,y,y \ L(x,z,u)) = a(x,y,y \ x). [para(288051(a,1),6596(a,1,1,1)),rewrite([5724(6),2165198(5),3384(5),1407328(7),3380(4),2520(7),850(7),3397(7)]),flip(a)]. 2946629 a(x,y,L(L(z,u,w),x,u * w)) = a(x,y,L(L(z,x,u),x * u,w)). [para(13522(a,1),14934(a,1,2,1,2)),rewrite([300(7),2289976(6),13522(8),13307(8)])]. 2947535 T(x \ R(1 / x,y,z),x \ (x \ 1)) = x \ R(1 / x,y,z). [hyper(6259,a,42613,a,b,101872,a(flip)),rewrite([5210(11),2022(10),3396(7),1007(8),850(22),3266(22),5644(27),1050689(16),391(12),13434(12),21(16)])]. 2951291 a(x,y,L(z,u,L(x,w,v5) * u)) = a(x,y,L(z,u,u)). [para(2938387(a,1),9508(a,1,1,3)),rewrite([1391676(3),203897(3),9537(4),8303(5)]),flip(a)]. 2953160 a(x,y,y \ (x * z)) = a(x,y,(y \ z) * x). [hyper(507,a,11757,a,b,82118,a),rewrite([11757(8),705943(7),19(2),3266(10),2270086(8)]),flip(a)]. 2953224 a(x,y,x \ (y \ (z * x))) = a(x,y,y \ z). [para(29(a,1),82118(a,1,3,2)),rewrite([777(3)]),flip(a)]. 2963996 L(x,(((y \ a(z,u,z)) \ 1) * w) \ v5,v6) = L(x,(y * w) \ v5,v6). [para(403748(a,1),12214(a,1,2,1,1)),rewrite([2364(10),10205(11),38844(12)])]. 2967030 a(x,y,z * (L(u,w,w) * (w \ 1))) = a(x,y,z * (w \ u)). [para(1094297(a,1),792(a,1,3,2)),rewrite([923(6),20(5),6391(5),1858(5),923(7),20(6),96210(8),4984(8),8303(3),19(2),923(10),20(9),923(13),20(12),1086900(15),2153316(12)])]. 2967035 a(x,y,L(z \ 1,u,w) * (w * L(u,z,z))) = a(x,y,w * (z \ u)). [para(1094297(a,2),808(a,2,3,2)),rewrite([4179(6),8303(5),19(4),872391(4),5005(9),8303(6),19(5),1094297(14),4984(15),8303(10),19(9),2967030(13)])]. 2967110 R(x,y,(L(z,u,u) \ u) \ 1) = R(x,y,L((z \ u) \ 1,u,u)). [para(1094297(a,2),11471(a,1,3,1)),rewrite([1094297(7),2535(13),8303(12),19(11),4179(11),8303(9),19(8),1400379(9),1638172(9),9343(8),2150610(8),8303(3),19(2),2250921(6),1215198(7),1834517(6),1879138(14),2937945(12),8303(8),19(7)]),flip(a)]. 2969980 R(x,y,(L(1 / z,u,w) \ 1) * v5) = R(x,y,L(z,u,w) * v5). [para(13137(a,1),96122(a,1,3)),rewrite([2938208(7),3866(11),1130027(10)]),flip(a)]. 2970011 R(x,y,z * (u * a(w,v5,u))) = R(x,y,L(u,v5,w) * z). [back_rewrite(2339524),rewrite([2969980(7)]),flip(a)]. 2970017 R(x,y,z * (L(1 / u,w,v5) \ 1)) = R(x,y,L(u,w,v5) * z). [back_rewrite(2339525),rewrite([2970011(11)])]. 2972972 R(x,y,z * (a(u,w,u \ 1) \ v5)) = R(x,y,z * v5). [hyper(1468,a,530173,a(flip),b,969141,a),rewrite([2825954(6),1253079(16),8326(13),20(12),82368(14),42008(15),123126(14),1880806(7),3022(5)]),flip(a)]. 2972981 R(x,y,z * (u * (a(w,v5,w \ 1) \ v6))) = R(x,y,(u * v6) * z). [para(530173(a,1),1846(a,1,3)),rewrite([2972972(7)]),flip(a)]. 2976946 L(x,L((y \ (z \ y)) * u,z,z),w) = L(x,L(z,z,y) \ u,w). [para(747219(a,2),12097(a,2,2,1)),rewrite([919(20),492(19),919(16),881(16),492(13),881(12),81843(12),371181(12),2156151(11),20(9),1394414(9),492(6),1394414(5),492155(11),1040920(10),1448875(11),11655(9)])]. 2994561 a(x,x \ L(y,y,z),z) = a(x,x \ y,z). [para(79786(a,1),5970(a,1,2)),rewrite([679(12),6344(10),1364843(9),682(6),3096(6),749(4),303(4),775(7),6688(5)]),flip(a)]. 2994710 a(x,y * L((z * z) \ u,u,y),w) = a(x,(u \ (z * z)) \ y,w). [para(79868(a,1),2333(a,1,2)),rewrite([10277(6),2515873(6),5944(9)]),flip(a)]. 2994779 a(x,y,a(z,(u \ (w * w)) \ v5,v6)) = a(v6,u \ v5,a(z,y,x)). [para(79868(a,1),9571(a,1,2)),rewrite([10277(7),1874495(7),1426667(5),5944(8),2994710(8)]),flip(a)]. 3003855 K(x \ y,x) * (z * ((z \ (x * (y / x))) / u)) = z * ((z \ y) / u). [para(119454(a,1),10496(a,1,1)),rewrite([119454(10),1523(10),14581(10),16000(9),103682(8),762(8),763(9),12604(8),1171744(12),405637(7),928(11)]),flip(a)]. 3008316 a(x,y,z \ (u * (w * a(v5,v5,u)))) = a(x,y,z \ (w * L(u,v5,v5))). [para(122802(a,1),7002(a,2,3,2)),rewrite([6581(3),2133665(10)])]. 3008317 a(x,y,z \ (a(u,u,w) * (v5 * w))) = a(x,y,z \ (v5 * L(w,u,u))). [para(122802(a,2),7002(a,2,3,2)),rewrite([17583(3),3008316(5)]),flip(a)]. 3008361 a(x,y,z \ (u * (a(w,w,u) * v5))) = a(x,y,z \ (v5 * L(u,w,w))). [para(122802(a,2),11955(a,1,3,2)),rewrite([284372(6),3008317(5),10047(7)]),flip(a)]. 3022431 R(x,y * (z * u),w * v5) = R(x,y * (u * z),v5 * w). [para(1850(a,1),126347(a,1,2)),rewrite([430368(6),1116025(11),299356(9),284389(11),284389(9)])]. 3022696 R(x,y,((z \ 1) \ u) * a(w,z,z)) = R(x,y,L(z \ 1,z,w) \ u). [para(11904(a,1),126484(a,2,3)),rewrite([2192141(8),126484(8),1184784(5),737392(6),10399(11),2250842(11)])]. 3066923 (((x \ 1) * y) * (1 / y)) * x = (x \ 1) * ((x * y) * (1 / y)). [para(942148(a,2),3245(a,2,1)),rewrite([2725004(10),859(3),859(7),774(8),9772(8),749(6),1742(6),19(4),380(3),378(4),2097(18),23(15),100823(15),2303615(12)]),flip(a)]. 3088653 x \ (y * (z * a(u,z,L(z,y,x)))) = (x \ (y * z)) * a(u,z,z). [hyper(1465,a,10861,a(flip),b,773253,a(flip)),rewrite([11073(3)])]. 3090150 a(x,y,L(((z \ 1) * u) * w,z,z)) = a(x,y,L(z,u,w) \ (u * w)). [para(248148(a,1),11428(a,1,3,1)),rewrite([13393(9),843510(8),9200(8),20(6),1537942(13)])]. 3120719 R(x,y,(a(z,u,w) \ v5) * v6) = R(x,y,(v5 * a(w,u,z)) * v6). [para(9677(a,2),2972972(a,1,3)),rewrite([8193(5),1895842(5),20(2),2386(3),1315432(9),8870(2),2972981(9),299288(4)]),flip(a)]. 3135061 a(x,(L(y,z,u) \ 1) \ w,v5) = a(x,L(y \ 1,z,u) \ w,v5). [para(2947535(a,2),154974(a,1,2,1,1)),rewrite([2947535(8),4460(5),2194603(6),716744(7),1912468(5),1828069(5),10571(10),155107(10)])]. 3135117 a(x,L(y \ 1,z,u) \ w,v5) = a(x,(y \ a(u,z,y)) \ w,v5). [back_rewrite(658766),rewrite([3135061(5)])]. 3164499 L(x,y,a(z,u \ (w \ 1),v5)) = L(x,u \ w,a(z,y,v5)). [para(203364(a,2),6919(a,1,3,2)),rewrite([20(4),10142(4),1970161(5),818(7),10179(7)]),flip(a)]. 3174499 L(x,(y * y) * (z * a(u,w,y)),v5) = L(x,(y * L(y,w,u)) * z,v5). [para(1135646(a,1),8561(a,1,2)),rewrite([1707710(4),14(8)]),flip(a)]. 3192898 a(x,y,a(z,u,u * (z \ w))) = a(x,y,a(z,u,u * (z * w))). [para(598186(a,1),9491(a,1,3,3,2)),rewrite([810(7),795(6),850(5),3266(5),96800(16),786(15),850(15),1116497(15),19(6),2953224(11),3948(9),395701(9),1391676(8)]),flip(a)]. 3214348 L(x,y * (z \ y),a(u,w,y)) = L(x,w,a(u,z,y)). [para(1175591(a,1),10673(a,1,3,2)),rewrite([813(9),10179(9),10575(9),492(4),2612554(5),502306(6),6919(4),400314(8),813(11),2330(11),2325(11),1466047(11),502306(10),10673(8),2070651(8)]),flip(a)]. 3223399 L(x,y * (L(1 / z,u,w) \ z),v5) = L(x,(z * L(z,u,w)) * y,v5). [para(203185(a,2),877(a,2,2,2)),rewrite([877(6),2253120(5),1708(2),878(10),2636639(10)]),flip(a)]. 3223413 L(x,(R(1 / y,z,u) \ y) \ w,v5) = L(x,(y * L(y,z,u)) \ w,v5). [para(203185(a,2),895(a,2,2,1)),rewrite([895(6),2532106(4),2474348(3),183709(4),1876189(5),903(10)]),flip(a)]. 3226172 R(x,x,(y * y) * z) = R(x,x,y * (y * z)). [hyper(507,a,11398,a,b,216910,a),rewrite([81725(7),1118291(7),19(6),2197631(6),1859(7),401266(7),1628125(7),2463(3),379(1),24993(8),5848(7),450885(8)]),flip(a)]. 3226200 R(x,x,y * (z * z)) = R(x,x,z * (z * y)). [para(14300(a,1),216910(a,1,3,1)),rewrite([2518078(6),1566115(8),11377(6),313873(5),1104(5),1715(5),4044(3),126242(5),96448(4),11175(10),7645(9),2435668(10),1104(8),174(8),6388(9),737392(8),737557(8),569268(8),3226172(6)])]. 3232517 a(x,y,L(z \ u,z,u) * x) = a(x,y,((u \ 1) * z) \ x). [para(269977(a,2),706158(a,1,3,2)),rewrite([435817(6),130065(5),6207(11),535300(11),535300(10)])]. 3238855 a(x * (y * L(z * u,z,z)),w,v5) = a(x * (y * (z \ u)),w,v5). [para(1007594(a,1),2480(a,2,1,2,2)),rewrite([1636480(5),2529(7),8303(4),19(3),1997630(5),2527(11),8303(8),19(7)]),flip(a)]. 3265219 x * L(x \ y,x,a(z,u,w)) = y * a(x * y,u,a(z,x,w)). [para(8760(a,1),245243(a,2,2)),rewrite([5242(3)])]. 3265223 x * L(x \ y,x,a(z,u,w)) = y * a(z,u,a(x * y,x,w)). [para(8810(a,1),245243(a,2,2)),rewrite([5242(3)])]. 3266709 a(x,L(y \ 1,z,a(x,u,w)),w) = a(x,y \ 1,w). [para(246349(a,2),397168(a,1,2)),rewrite([8871(2),5242(6),1941699(8)])]. 3266787 a(x,y \ a(x,z,u),u) = a(x,y \ 1,u). [back_rewrite(1386565),rewrite([3266709(5)]),flip(a)]. 3267239 L(x,x,a(y,z,u)) \ ((y / x) \ L(y,z,u)) = a(u,z,y) \ 1. [hyper(6259,a,246688,a(flip),b,332262,a(flip)),rewrite([1315432(7),20(6),5242(5),298(6),4191(4),1315432(7),20(6),5242(5),5285(9),376(7),6599(10)]),flip(a)]. 3285597 L(x,y \ (L(z \ 1,u,w) \ 1),v5) = L(x,y \ L(z,u,w),v5). [para(250012(a,2),7305(a,1,2,2)),rewrite([1753121(7),2544511(13)])]. 3291189 L(x,y,z) * (T(x,x \ u) \ (u \ 1)) = (x * (u / L(x,y,z))) \ 1. [para(8261(a,1),651725(a,1,2,1)),rewrite([67035(9),373(6),20(6),2111(5),5428(3),1719961(7),107773(8),8261(14),67035(19),373(16),20(16),2111(15),5428(13),1822332(13),1822383(13)])]. 3295457 L(x,y,(z * u) \ (w \ ((u * w) * z))) = L(x,y,a(z,u,w)). [para(8698(a,1),553289(a,1,3)),rewrite([3266(3),3264(4),921(10),524265(10)]),flip(a)]. 3309876 L(x,y,a(z,u * ((w * w) \ v5),v6)) = L(x,u * v5,a(z,y,v6)). [para(1217927(a,1),6919(a,1,3,2)),rewrite([20(5),1620932(5),1970161(5),2693493(8)]),flip(a)]. 3310210 R(x,y * a(z,u,u),w * v5) = R(x,y * a(u,u,z),v5 * w). [para(10355(a,1),3022431(a,1,2,2)),rewrite([1116023(7),2644687(7),20(3),22(7)])]. 3311118 a(x,y,L(z * L(T(u,w),u,w),u,u)) = a(x,y,(w \ (u \ w)) \ z). [para(334775(a,2),9164(a,2,3,1)),rewrite([2535(8),6298(8),4179(7),880(7),1400379(6),1634341(6),8069(5),8206(5),334775(13),1888075(11),1812386(11),3580(9),20(8),10010(9)])]. 3311370 a(x,y,((z \ ((1 / u) \ z)) \ 1) \ w) = a(x,y,(z \ (u \ z)) \ w). [para(334662(a,1),11428(a,1,3,1)),rewrite([6103(12),4846(12),10648(10),457815(10),8206(5),3311118(5),777(14)]),flip(a)]. 3322998 L(x,x,a(y,z,u)) * (a(y,z,u) * (x \ (x \ 1))) = x \ a(y,z,u). [para(7243(a,2),795358(a,1,1,1)),rewrite([7243(7),1709163(7),2523249(8),2074742(7),2078066(15),21(16)])]. 3327152 a(x,(L(y * z,y,y) \ u) * a(y,y,z),w) = a(x,(y * z) \ u,w). [para(4798(a,1),1717870(a,1,2)),rewrite([818(3),1311103(12),2326(11),619004(11),2332(9)]),flip(a)]. 3332655 (1 / (1 / x)) \ (y * ((x \ 1) * z)) = x \ (y * ((1 / x) * z)). [para(2090(a,1),622014(a,1,2)),rewrite([12333(15)])]. 3336249 R(x,y,z * (L(u \ K(w,v5),v6,v7) \ 1)) = R(x,y,L(u,v6,v7) * z). [para(1401332(a,1),1845(a,2,3,2)),rewrite([827258(6),1845(7),231374(5),285774(7),2970017(7),1845(10)]),flip(a)]. 3336251 L(x,y \ (L(z \ K(u,w),v5,v6) \ 1),v7) = L(x,y \ L(z,v5,v6),v7). [para(1401332(a,1),2008(a,2,2,2)),rewrite([827258(6),2008(7),231374(5),287001(7),1753121(7),3285597(7),2008(10)]),flip(a)]. 3347744 L(x,x,a(y,z,u)) * ((x \ 1) * a(u,z,y)) = a(u,z,y). [hyper(1467,a,6708,a,b,54453,a),rewrite([8910(7),22(8),4676(13),81884(11),1123450(9),1470260(9),18(4),303(9)])]. 3356677 (x \ a(y,z,u)) \ u = (x \ 1) \ L(u,z,y). [para(9365(a,2),349500(a,1,1)),rewrite([8870(4),2487195(8)])]. 3365429 (x \ y) * (T(T(y,x \ 1),z) \ y) = (T(y,z) \ (x \ y)) * y. [para(3245(a,2),157946(a,2,2)),rewrite([167623(7),979(5),482018(7),897(12)])]. 3365785 a(x,y \ a(z,u,w),a(w,v5,z)) = a(w,y,a(x,v5,z)). [para(3365429(a,2),10482(a,1,2)),rewrite([303(6),303(4),372(5),20(4),303(6),97527(9),397168(9),3266787(7),1292311(8)])]. 3388367 L(x,y,(z * L(u * w,w,w)) * v5) = L(x,y,((w \ u) * z) * v5). [para(723564(a,1),11792(a,1,3)),rewrite([5254(7),1007(6),10799(9),1374323(5),10889(18),1374245(16),6296(11)]),flip(a)]. 3391924 L(x \ (y * (1 / x)),x \ 1,x) = x * (((x * x) \ y) * (x \ 1)). [para(504600(a,1),5637(a,1,1)),rewrite([373(15)])]. 3412714 R(x,y,z * ((z \ (u * u)) * w)) = R(x,y,L((u * u) * w,z,z)). [para(10008(a,2),450885(a,2,3)),rewrite([557358(7),7328(8),2690507(7),1819349(8),1811223(6),614621(10),435725(10),1315447(9)]),flip(a)]. 3412724 R(x,y,(z \ (L(L(z,u,w),u,w) \ 1)) * v5) = R(x,y,(z * z) \ v5). [para(10961(a,2),450885(a,1,3)),rewrite([250714(7),1705657(10),201542(7),1661016(3),1977686(5),1547451(8),1844(10),12185(8)]),flip(a)]. 3413418 R(x,x,y * (a(z,z,u) * w)) = R(x,x,w * y). [para(12497(a,2),3226200(a,2,3,2)),rewrite([2435718(6),1731873(4),7042(3),21(4),1724919(10)])]. 3428307 L(x,(y \ ((z \ (1 / y)) \ y)) \ u,w) = L(x,((y \ 1) \ z) \ u,w). [para(132007(a,1),10381(a,2,2,1,2)),rewrite([1385396(10),10514(12),1305289(12),2094144(5),1305176(8),1763491(7),679(14),364046(14),2140(13),3025(11),637899(13),1403771(13)])]. 3440948 (x \ 1) \ L(a(x,y,z) \ x,u,x) = R(x \ 1,y,z) \ L(x,u,x). [hyper(1465,a,474524,a,b,5133,a),rewrite([13578(6),2099378(5)])]. 3441057 R(R(x \ 1,y,x),z,u) \ x = R(x \ 1,z,u) \ L(x,y,x). [hyper(1465,a,474524,a(flip),b,5133,a),rewrite([3426(3),34(5),812561(7),2074(6),13578(6),2201312(6),2099378(5),3440948(6),3426(8)]),flip(a)]. 3442368 L(x,y \ (L(z,u,w) \ 1),v5) = L(x,y \ L(z \ 1,u,w),v5). [para(231737(a,1),9629(a,1,2,2,1)),rewrite([287001(9),3336251(9)]),flip(a)]. 3442382 R(x,y,(L(z,u,w) \ 1) * v5) = R(x,y,L(z \ 1,u,w) * v5). [para(231737(a,1),96122(a,1,3,1,1)),rewrite([285773(9),3336249(9)]),flip(a)]. 3442396 L(x,(a(y,z,z) * u) \ L(z \ 1,z,y),w) = L(x,u \ (z \ 1),w). [back_rewrite(2410269),rewrite([3442368(7)])]. 3446105 a(x,y * L(z * R(u,w,u),u,u),v5) = a(x,((u \ 1) \ z) * y,v5). [para(408966(a,1),11424(a,1,2,1,2)),rewrite([14782(5),528194(7),8303(4),19(3),5947(5),528834(5),1717857(4),2535(10),2541(10),4179(9),2150(9)]),flip(a)]. 3463311 ((x * (x * y)) * L(x,z,u)) \ (x * (y * L(x,z,u))) = (x * y) \ y. [para(1166416(a,1),7943(a,2,1)),rewrite([21(8),29(8),5544(5),1844(10),9009(10),1820784(8),2257831(8),1315617(7),938247(4),363664(11)]),flip(a)]. 3463331 (x \ (y * L(x,z,u))) \ (x \ (x \ (y * L(x,z,u)))) = y \ (x \ y). [para(1166416(a,1),842434(a,1,1,1)),rewrite([363664(9),3463311(8),10896(10),1358835(10),2122736(8),2724933(8),2169628(14),2700009(14)]),flip(a)]. 3463917 a(x,a(y * (z \ u),w,u),v5) = a(x,a(u,w,z * (y \ u)),v5). [para(11506(a,1),428433(a,2,2)),rewrite([55301(8),502135(8),8862(5),97527(8),20(7),748453(6),245524(3),2244530(4)]),flip(a)]. 3464079 a(x,y,L((z * z) \ u,z,z) * w) = a(x,y,w * (z \ (z \ u))). [para(1093959(a,1),11596(a,1,3,2,1)),rewrite([14782(10),3024(9),2523(7),1695306(7),3264(14),3391924(12),806081(13),1628152(10)])]. 3470310 a(x,y,(z * L(u,u,u * w)) * v5) = a(x,y,(L(u,u,w) * z) * v5). [para(549691(a,1),7767(a,1,3,1,2)),rewrite([4981(5),81725(2),13516(11),4981(11),2245096(11)])]. 3488900 L(x,y,a(z \ (x * u),u,w)) * a(w,y,a(x,u,x * (u \ z))) = x. [para(561485(a,1),253282(a,1,2,3)),rewrite([1837302(8)])]. 3506394 a(x,y,a(z * y,u,w)) * z = y * L(y \ z,y,a(x,u,w)). [para(6216(a,1),617536(a,1,1,1)),rewrite([8982(3),774376(3),1520968(13),5237(13),13273(14),4937(12),332990(11),4930(9),1650404(11),21(10)])]. 3521462 R(x,y,L(L(1 / z,u,w) \ v5,z,z)) = R(x,y,L(z,u,w) * v5). [para(1753072(a,1),11046(a,1,3,2)),rewrite([10921(9),3264(15),1130027(13),3442382(13),492(10)])]. 3521463 a(x,y,L(L(1 / z,u,w) \ v5,z,z)) = a(x,y,L(z,u,w) * v5). [para(1753072(a,1),9067(a,1,3,2)),rewrite([9573(9),3264(15),1130027(13),1950554(13),492(10)])]. 3543051 a(x,y,((z \ ((u \ 1) \ z)) \ 1) \ w) = a(x,y,(z \ (u \ z)) \ w). [para(1100413(a,2),9454(a,1,3,1,2)),rewrite([2035536(9),1011946(6),1195832(6),2529678(8),2403276(15),20(16),2529678(16),3311370(16)])]. 3559141 (x \ (y \ z)) * ((y * (x \ (y \ z))) \ z) = (y \ (z / x)) * x. [para(68692(a,1),8661(a,2,2)),rewrite([814(6),6569(6),4937(5),2728524(6),1551201(7),502(4)]),flip(a)]. 3559197 a(x,y \ (x \ z),y) = a(x,x \ (y \ z),y). [para(68692(a,2),13233(a,1,1,2,2)),rewrite([68692(8),3559141(7),14558(5),812(10)]),flip(a)]. 3565581 a(x,y \ (z \ ((z \ 1) * u)),w) = a(x,y \ ((z * z) \ u),w). [para(732000(a,1),10078(a,1,2,2)),rewrite([10179(6),1469246(12),313882(12)])]. 3569864 L(x,x,a(y,z,u)) * (a(x,z,u) * (R(x,z,u) \ y)) = y. [hyper(1468,a,9392,a,b,760463,a),rewrite([8982(3),949029(3),5079(3),27660(3),5129(6),9867(8),386432(6)])]. 3571935 a(x * y,z,a(y * z,u,w)) = a(z * y,z,a(w,u,x * y)). [hyper(6259,a,2098809,a,b,10716,a),rewrite([770288(4),300(9),2098809(15),27655(12),774376(8)]),flip(a)]. 3571936 a(x * y,z,a(y * z,u,w)) = a(z * y,z,a(x * y,u,w)). [hyper(6259,a,2098809,a,b,8731,a),rewrite([8301(4),300(9),2098809(15),27655(12),774376(8)]),flip(a)]. 3604408 a(x,((y \ z) * a(u,u,z)) * w,v5) = a(x,(y \ L(z,u,u)) * w,v5). [para(832934(a,2),2322(a,2,2,1)),rewrite([5264(4),2321(6),832934(8),2015434(10)])]. 3613111 L(x,L(a(y,z,u) \ y,w,y) \ v5,v6) = L(x,L(y,z,u) \ v5,v6). [para(255273(a,1),10514(a,1,2,1,1)),rewrite([2099378(3),1460364(13),2074(11),3441057(10),2086923(13),2086915(12)])]. 3644872 a(x,y,((z \ (u \ z)) \ 1) \ (w * a(z,u,u))) = a(x,y,u \ w). [para(1005897(a,1),8705(a,2,3,1)),rewrite([836910(5),889(9),10105(9),10103(9),1554800(7),3214348(7),1555752(5),20(3),8061(3),1768408(12),10338(10),2261952(12),910(10),7001(10),2529678(10)]),flip(a)]. 3650596 a(x,y,L(L(z \ 1,u,w) \ v5,z,z)) = a(x,y,L(z,u,w) * v5). [para(914143(a,1),9573(a,1,3,2)),rewrite([492(6),910(9),9573(9),8568(6),919(19),492(18),881(15),492(14),8568(12),3521463(12)])]. 3650597 R(x,y,L(L(z \ 1,u,w) \ v5,z,z)) = R(x,y,L(z,u,w) * v5). [para(914143(a,1),10921(a,1,3,2)),rewrite([492(6),10399(9),10921(9),1876258(6),919(19),492(18),881(15),492(14),1876258(12),3521462(12)])]. 3668283 L(x,y * (z * (u * a(w,v5,u))),v6) = L(x,(L(u,v5,w) * z) * y,v6). [para(1251626(a,2),10894(a,1,2,2)),rewrite([1251626(6),99951(7),6578(4),2169883(5),6555(11),6578(8)]),flip(a)]. 3673323 x * ((a(y,z,u) \ x) \ y) = R(y,z,L(u,x,x)). [para(9235(a,1),70864(a,1,1,3,2)),rewrite([7545(6),1625944(6),13307(6),2160563(6),1891556(6),2951291(4),9235(3)]),flip(a)]. 3681261 a(x \ (y * a(z,z,u * z)),w,v5) = a(x \ (a(z,z,u) * y),w,v5). [para(1106634(a,1),5082(a,1,1,2)),rewrite([4963(7),1877380(6),2103489(5),502708(9)]),flip(a)]. 3687559 L(x,y,z) * ((x * (u / x)) \ 1) = x * ((x * (u / L(x,y,z))) \ 1). [para(2845857(a,2),454478(a,1,2,2)),rewrite([2845857(7),3291189(7),2583(12)]),flip(a)]. 3703554 a((x * L(y * z,y,y)) * u,w,v5) = a(((y \ z) * x) * u,w,v5). [para(1007594(a,1),98707(a,1,1,1,2)),rewrite([2530(7),8303(4),19(3),1636480(10),2530(12),8303(9),19(8),2573566(10)])]. 3764943 ((x \ y) * x) * ((z \ y) \ u) = y * ((z \ (x * (y / x))) \ u). [para(7875(a,1),462258(a,1,2)),rewrite([443026(12),67888(11),864(7),68814(10)])]. 3789663 a(x,y,z \ ((u \ w) * a(v5,v5,w))) = a(x,y,z \ (u \ L(w,v5,v5))). [para(1343293(a,2),9245(a,1,3,2)),rewrite([1088920(3),1088920(5),1343293(9),908(11),1253079(11),2016621(11),436116(10),3839(10),1253037(10),1252904(4),10158(9),1827347(9)]),flip(a)]. 3819844 a((x * y) * z,u,L(y,x * y,x)) = a(x \ (y \ z),u,y). [hyper(152,a,9832,a,b,1391068,a),rewrite([1382911(6)])]. 3820457 a(x,x,L(y,z,u)) * ((y * z) * u) = (y * (z * a(x,x,y))) * u. [hyper(1467,a,1396319,a(flip),b,16625,a),rewrite([6581(8)])]. 3826951 L(x,((y \ z) * (z \ 1)) \ u,w) = L(x,(z * (y \ (z \ 1))) \ u,w). [para(1755580(a,1),895(a,1,2,1)),rewrite([10095(6),12300(12)])]. 3842864 (a(x,x,L(y,z,u)) * z) / u = a(x,x,y) * (z / u). [para(13396(a,2),1524079(a,2,1)),rewrite([13307(2),13396(7),2447254(9)])]. 3845869 L(T((x \ y) \ 1,z) \ 1,x,x) = T(((1 / x) * y) \ 1,z) \ 1. [hyper(1468,a,188538,a,b,285200,a),rewrite([1010(6),492(4),188538(15),1963653(13),3336(10),10652(8),7654(4)])]. 3860624 L(x,y,a(z,u,u) * ((u \ z) \ w)) = L(x,y,(u * z) \ w). [para(92926(a,1),1208030(a,1,3,1,2)),rewrite([8050(3),1895059(4),6569(6),633490(7)]),flip(a)]. 3875047 a(x,y,y) * L(z,a(x,y,y),u) = L(a(x,y,y) * z,a(x,y,y),u). [para(1646144(a,2),544309(a,1,2,1,2)),rewrite([1646144(6),6173(7),1438901(9),978346(8),2387181(9),1895004(4),2911532(4),1859(9),5238(9),2066065(9),2312896(9)])]. 3877079 R(1 / x,x,y * a(z,z,u)) = R(1 / x,x,y). [para(10055(a,1),1709796(a,2,3,2)),rewrite([55851(10),2435668(12),373(10),3120719(10),8301(7),20(6),738067(8),782494(17),2435668(15),2435723(15),8301(12),20(11),3413418(13),559848(11)])]. 3878654 L(x,x,a(y,z,u)) * ((a(y,z,u) \ x) \ y) = R(y,z,u). [hyper(1468,a,1751730,a(flip),b,266179,a),rewrite([1391641(4),20(2),9035(8),492(7)])]. 3894281 a(x \ (y * a(z,u,u * z)),w,v5) = a(x \ (y * a(u,u,z)),w,v5). [para(1877406(a,1),5082(a,1,1,2)),rewrite([3523(7),1877380(6),2613070(5),502708(9)]),flip(a)]. 3896632 a(x,y,L(z,u * x,y)) = a(x,y,L(z,u,y)). [para(1889814(a,1),8752(a,1,1)),rewrite([8752(4)]),flip(a)]. 3897731 a(x,y,L(z,x * u,y)) = a(x,y,L(z,u,y)). [para(1891216(a,1),8752(a,1,1)),rewrite([8799(4)]),flip(a)]. 3898164 a(x,x * y,L(z,u,x * y)) = a(x,x * y,L(z,u,y)). [hyper(507,a,553656,a,b,1892703,a),rewrite([8524(6),2689722(7),123882(8),772807(8)])]. 3898380 a(x,y,(y \ x) \ z) = a(x,y,x \ (y * z)). [para(99917(a,1),1892703(a,1,3)),rewrite([785(5),12316(5),1898476(5),1890208(8),3897731(8),8569(7),910(6)]),flip(a)]. 3900937 R(x,y,(z \ L((u * z) \ u,z,u)) \ w) = R(x,y,(z * z) * w). [para(7700(a,1),362490(a,2,3,1)),rewrite([1824769(9),3412724(11),24993(5),5848(4),450885(5),2145944(9),10399(9)]),flip(a)]. 3900938 R(x,y,(((z * u) \ z) * (z \ (u \ z))) \ w) = R(x,y,(u * u) * w). [para(7700(a,2),362490(a,2,3,1)),rewrite([362490(9),2128118(7),2145942(13),10399(13),3900937(13)])]. 3901039 L(x,x,a(y,z,u)) * R(y,z,u) = (1 / (x * y)) \ a(y,z,u). [hyper(152,a,5063,a,b,2826873,a),rewrite([9241(5),2536(4),5817(4),772777(4),13265(3),8208(3),1134295(4),1873419(6),5242(4),8510(6),492(4)])]. 3913927 x * L(a(y,y,z) \ u,a(z,y,y),x) = (a(y,y,z) \ x) * u. [hyper(1468,a,2019657,a,b,31370,a),rewrite([12414(4),372(3),20(2),8043(6),6917(6),2552928(6)])]. 3914000 x * L(y,a(x,x,z),u) = L(x * y,a(z,x,x),u). [hyper(1832,a,2019657,a(flip),b,246294,a),rewrite([12734(7),966034(5),1953294(4),5238(6)])]. 3914361 x * L(a(y,z,z) * u,a(y,z,z),x) = (x * a(y,z,z)) * u. [hyper(1468,a,2021839,a,b,25,a),rewrite([2021839(6),19078(6),13466(5),8468(4),3875047(4)])]. 3917180 a(x,y,a(z * (u * w),u,w)) = a(x,y,a(w,u,u * (w * z))). [para(2065405(a,1),8080(a,1,3)),rewrite([3192898(8)])]. 3919879 L(x,a(y,z,(u \ y) * w),v5) = L(x,a(y,z,y * (w * u)),v5). [para(11506(a,2),748711(a,1,2)),rewrite([11506(3),2244544(4)]),flip(a)]. 3923673 L(x,y \ (R(1 / z,u,w) \ z),a(w,u,z)) = L(x,y,a(w,u,z)). [hyper(152,a,9446,a,b,3223413,a),rewrite([4842(12),1023948(12),905470(12),9237(9),7114(9),4842(15),1023948(15),905470(15),9237(12),1003479(12)])]. 3934390 a(x,y,a(y * (x * z),u,w)) = a(w,u,a(x,y,x * (y \ z))). [para(2194184(a,2),8716(a,1,3)),rewrite([2194184(3),2486705(4)]),flip(a)]. 3934527 a(x,y,a((x * z) * y,u,w)) = a(w,u,a(x,y,x * (y \ z))). [para(2194184(a,2),13203(a,2,3)),rewrite([9832(4),774376(4),2194184(7),2486705(8)])]. 3940041 (x \ 1) * (x \ (y * ((1 / x) * z))) = ((x * x) \ y) * ((x \ 1) * z). [hyper(1468,a,3332655,a(flip),b,988811,a),rewrite([3513(13),3395(16),5876(14)])]. 3940172 (x \ 1) * (x \ (y * T(1 / x,z))) = ((x * x) \ y) * T(x \ 1,z). [para(155(a,1),3940041(a,1,2,2,2)),rewrite([979(15),155(16)])]. 3954038 R(x,y,a(z,u,u) * (w * (((z * u) \ z) * u))) = R(x,y,w). [para(3066923(a,1),237124(a,1,3,2)),rewrite([1584941(7),1185962(6),622373(13),14782(10),1254112(12),8303(9),19(8),1315642(10),20(3)])]. 3957397 R(x,y,(a(z,z,u) * (w * u)) \ v5) = R(x,y,(w * L(u,z,z)) \ v5). [para(2366782(a,1),126484(a,1,3,1,1)),rewrite([1901905(7)])]. 3961782 L(x,(y \ (a(z,u,u) \ z)) \ w,v5) = L(x,(y \ L(z,u,u)) \ w,v5). [para(2452845(a,1),903(a,2,2,1)),rewrite([299(3),1827647(5),9480(3),2193084(4)]),flip(a)]. 3962254 (a(x,y,y) \ (T(z,u) \ x)) \ T(u,z) = (z \ (a(x,y,y) \ x)) \ u. [para(2452845(a,2),1133291(a,1,1))]. 3966639 (x \ 1) * (x \ (y \ (1 / x))) = (x * x) \ (y \ (x \ 1)). [para(3115(a,1),3940172(a,1,2,2)),rewrite([997020(14),481893(21),5729(18)])]. 3966752 (x \ 1) * (x \ (y * (z \ (1 / x)))) = ((x * x) \ y) * (z \ (x \ 1)). [para(5809(a,1),3966639(a,1,2,2)),rewrite([2006(14),5809(17),5876(14)])]. 3966894 L(x,y * (z \ (u \ 1)),a(w,v5,y)) = L(x,v5,a(w,y * (z \ u),y)). [para(3966752(a,2),10673(a,2,3,2)),rewrite([5728(6),55728(9),2220798(9),304413(6),10673(4),3966752(12),1138288(13),304413(14),3309876(12)]),flip(a)]. 3970730 L(x,y * (((T(y \ z,y) \ z) \ 1) \ u),w) = L(x,(y * y) * u,w). [para(1989178(a,2),99487(a,1,2)),rewrite([391(2),21616(4),152170(15),201084(13)])]. 3977551 R(x,y,((z \ u) * (z \ u)) \ w) = R(x,y,((u \ z) * (u \ z)) * w). [para(2958(a,2),362547(a,1,3,1)),rewrite([2958(5),977527(11),1225912(10),977527(11),2131883(11),2209372(9),1538505(9),362547(7),1566115(14),4824(12),1566115(14),2128118(14),3900938(14),614621(10),4824(8),614621(10)])]. 3987833 a(x,L(y \ 1,z,u) \ (L(y,z,u) \ w),v5) = a(x,L(w,y,y),v5). [hyper(507,a,10148,a(flip),b,3135117,a),rewrite([250154(5),561446(4),1568699(4),250714(9),284789(12)]),flip(a)]. 3987920 a(x,L(y \ 1,z,u) \ (w * (L(y,z,u) \ 1)),v5) = a(x,w,v5). [para(4423(a,2),3135117(a,2,2)),rewrite([5261(8),13456(8),10574(9),250714(13),12338(15),940(18),658816(16),816(13)])]. 4001307 L(x,x,a(y,z,u)) * ((a(y,z,u) \ x) \ L(u,z,y)) = u. [hyper(1468,a,3356677,a(flip),b,266179,a),rewrite([1391641(4),20(2),9035(8),492(7)])]. 4002663 a(x,y,a(z,u * (a(z,y,x) * w),u)) = a(u,y,a(z,u * w,x)). [hyper(507,a,8716,a,b,3559197,a),rewrite([8382(4),1840145(5),97527(10),1432153(10),2293718(8)])]. 4002723 L(x,y,a(z,u * (z \ w),u)) = L(x,y,a(z,z * (u \ w),u)). [para(3559197(a,1),284(a,2,3)),rewrite([284(10),10673(4),1555752(8)])]. 4002808 a(x,y \ (x \ ((z \ 1) \ y)),y) = a(x,x \ z,y). [para(5312(a,2),3559197(a,2,2,2)),rewrite([1764758(6),6688(10),97578(10),2994561(9)])]. 4002906 a(x,x * (y \ z),a(u,w,y)) = a(u,w,a(x,y * (x \ z),y)). [para(3559197(a,2),8810(a,1,3)),rewrite([1840145(4),9195(8)]),flip(a)]. 4002957 a(x,x \ (y \ (z \ y)),y) = a(x,x \ (z \ 1),y). [para(10821(a,2),3559197(a,2,2,2)),rewrite([4002808(8),820(9)]),flip(a)]. 4002958 a(x,y \ (x \ (z \ y)),y) = a(x,x \ (z \ 1),y). [para(10927(a,2),3559197(a,2,2,2)),rewrite([814(6),940(5),10927(8),814(10),10830(9),4002957(8)])]. 4003060 a(x,y,a(z,u * (w \ a(x,y,z)),u)) = a(u,u * w,a(x,y,z)). [para(11333(a,2),3559197(a,2,2,2)),rewrite([4002958(7),9195(5),1117663(5),1391648(3),11333(7),9195(10),8381(10),1883326(10)]),flip(a)]. 4009068 a(x,y,z \ (u * (z * ((z \ 1) \ w)))) = a(x,y,(z \ 1) \ (w * u)). [para(1480596(a,2),779(a,1,3)),rewrite([1480596(7),1626387(7),5511(5),21(6),1546062(12)]),flip(a)]. 4013366 a(x,y,L(L(z,x * u,y),w,v5)) = a(x,y,L(L(z,w,v5),u,y)). [para(99512(a,2),3896632(a,1,3))]. 4013438 a(x,y,a(z,u,L(w,z * v5,y))) = a(w,u,a(z,y,L(x,v5,y))). [hyper(6259,a,3897731,a(flip),b,8731,a),rewrite([8870(4),8871(3),4013366(8),300(8),4013366(8),772897(10)])]. 4013490 L(x,y,a(z,u,L(w,z * v5,y))) = L(x,u,a(z,y,L(w,v5,y))). [para(3897731(a,1),8746(a,1,3)),flip(a)]. 4013597 a(x,y,x \ (y * z)) = a(x,y,y * (x \ z)). [hyper(152,a,2062997,a,b,3898380,a),rewrite([633507(4),1526816(4),8862(5),774448(5)]),flip(a)]. 4013750 a(x,y,a(z,u,w * (u \ z))) = a(x,y,a(z,u,u * (z * w))). [para(3898380(a,2),8080(a,1,3)),rewrite([3898380(3),4013597(3),3192898(4),8326(7),1575462(8)]),flip(a)]. 4013865 a(x,y,a(z,u,u * (z * w))) = a(x,y,a(z,u,z * (u * w))). [para(3898380(a,2),9752(a,2,3)),rewrite([8424(3),9752(5),3898380(7),4013597(7),3192898(8)]),flip(a)]. 4016068 x \ ((x * (x * y)) * a(z,u,L(u,y,x))) = (x * y) * a(z,u,u). [hyper(152,a,9549,a,b,19099,a),rewrite([333423(6),2005615(7),519413(6),1719364(6),303(9)])]. 4018403 (x / (y * z)) * (R(y,u,w) * z) = (R(y,u,w) * z) * ((y * z) \ x). [para(503(a,1),49591(a,1,2)),flip(a)]. 4025598 a(x,y,L(z \ 1,z,x) \ u) = a(x,y,(z \ 1) \ L(u,z,x)). [para(950509(a,1),8836(a,1,3)),rewrite([4735(8),97938(6),1537931(5),4738(14),21(7)]),flip(a)]. 4025751 a(x,y,y \ (z * (x * y))) = a(x,y,z * x). [hyper(1465,a,363672,a,b,1061496,a(flip)),rewrite([7351(3),1456359(15),1061496(16),5320(8),7351(6),95648(12),21(12),2066527(8),2953160(8),21(6)])]. 4051911 R(x,y,((z * u) \ w) * ((z \ 1) \ u)) = R(x,y,w * a(z,z,u)). [para(56130(a,1),2918(a,1,3,1)),rewrite([977527(7)])]. 4052423 a((x * L(y,x,z)) * L(z,z,x),u,w) = a((z \ x) * y,u,w). [para(56135(a,1),8577(a,2,1)),rewrite([8041(5),2525(5),11812(10),4737(10)])]. 4052434 a(x,y,((y \ 1) \ x) * z) = a(x,y,(y * x) * z). [para(56135(a,1),2062997(a,1,3)),rewrite([12316(5)])]. 4060549 R(x,y,z) * (x \ (L(x,u,x) \ w)) = L(a(x,y,z) \ x,u,x) \ w. [hyper(1465,a,411032,a,b,13511,a),rewrite([34(4),544959(6),1822431(7),2074(4),2861128(5),5124(5),8870(7),8789(7),2099378(8)])]. 4063351 a(x,y,a(z,u,u) * ((z * (u \ 1)) \ w)) = a(x,y,(u \ z) \ w). [para(558801(a,2),12317(a,2,3,1)),rewrite([851(10),12543(9),19(7),1541402(9),96015(8),5876(10),3262(9),7292(15),8303(13),19(12),1628246(13)])]. 4063899 (L(x,y,z) / (L(u,u,a(x,y,z)) * L(x,y,z))) * u = a(u,u,x). [hyper(1466,a,79133,a(flip),b,13286,a),rewrite([1863(11),299(9),556856(9),2471198(7),5242(3),682(10),3182(9),241(9)])]. 4078615 L(x,(y \ 1) * ((z \ (y \ 1)) \ 1),u) = L(x,((z \ y) \ 1) * y,u). [para(10906(a,2),99558(a,1,2,1)),rewrite([10906(5),3764943(10),21(7),1847359(8),11037(9),8424(16),889(16),7107(16),2008(14),2156020(15),81884(14),2156046(13),1758422(13)])]. 4084739 x \ (a(y,y,L(z,u,x)) * u) = (x \ u) * a(y,y,z). [hyper(1465,a,121057,a,b,6557,a(flip)),rewrite([9195(7),1889937(7),13597(7),761412(7),121057(9),1935644(5),855679(5)])]. 4084834 R(1 / x,x,y) \ (y * a(z,z,u)) = x * (y * a(z,z,u)). [para(121057(a,1),3161(a,1,2)),rewrite([977527(9),4051911(9),3877079(5),121057(12)])]. 4092214 R(x,y,(z * (z * ((z * z) \ u))) \ w) = R(x,y,L(u,z,z) \ w). [para(71268(a,1),1299988(a,1,3,1)),rewrite([12258(5),7513(5)]),flip(a)]. 4092303 R(x,y,L(z \ u,z \ u,z) \ w) = R(x,y,((u \ z) \ 1) \ w). [para(617311(a,1),1299988(a,1,3,1)),rewrite([12258(5),1753087(5),394626(12),11175(12),1566115(12),4824(8),1566115(12),3977551(12),201715(12)])]. 4096654 L(x,((y \ z) \ u) * a(z,y,y),w) = L(x,((y \ 1) * z) \ u,w). [para(5827(a,1),1749822(a,2,2,1)),rewrite([8301(6),502(5),1448452(7),443251(6),5876(8),5643(9),55730(10),152297(10)])]. 4096705 L(x,a(y,z,z) * ((y * (z \ 1)) \ u),w) = L(x,(z \ y) \ u,w). [para(78548(a,2),1749822(a,2,2,1)),rewrite([12543(10),19(8),845(8),1448452(9),288758(8),78548(15),2648851(14),10644(11)])]. 4117800 R(x,y,L(z,z,u) * ((w \ (z \ w)) * u)) = R(x,y,a(z,z,w) * u). [para(11765(a,1),331254(a,2,3)),rewrite([391(4),7497(4),1193876(4),391(6),1767128(7),1533905(7),1365857(13),373(8),373(8),1548775(11),1614616(11)])]. 4127166 (x * a(y,y,L(z,x,u))) / u = a(y,y,z) * (x / u). [hyper(1466,a,331711,a,b,12739,a(flip)),rewrite([8982(7),1840145(7),1890011(7),331711(9),1218928(5)])]. 4155827 a(x,a(y,y,z) * ((y \ ((1 / y) \ z)) * u),w) = a(x,z * u,w). [para(398042(a,1),10829(a,1,2,2)),rewrite([12411(5),6570(4),6570(5),1935644(4),856270(4),1702278(6),8201(11)]),flip(a)]. 4162712 T(x,x * y) \ ((y / (x \ 1)) * z) = x \ (T(y / (x \ 1),x) * z). [para(7066(a,2),384387(a,1,1,2)),rewrite([128401(5),373(3),502(2),24(7),24(12)])]. 4164298 a(x,y,((y \ 1) \ z) * x) = a(x,y,y * (z * x)). [para(4162712(a,1),4025751(a,1,3)),rewrite([95723(12),11955(10),7775(9),2066527(9),4009068(9),816(7),774448(5),785(10),816(10)]),flip(a)]. 4173626 L(x,(((y \ 1) \ z) \ u) * a(z,y,y),w) = L(x,(y * z) \ u,w). [para(561748(a,1),9106(a,1,2)),rewrite([1050651(10)]),flip(a)]. 4174660 (1 / (x / y)) \ a(z,u,L(y,x,x)) = x / L(y,u,z). [para(604246(a,1),4247(a,2,2,2,2)),rewrite([1845002(9),1844414(9),299(6),391(7),299(10),391(11),604232(10)])]. 4195972 a(x,y,((z \ (u \ z)) \ 1) \ w) = a(x,y,(z \ ((u \ 1) \ z)) \ w). [para(644200(a,2),1487(a,2,3,1)),rewrite([6457(6),1487(10),2683722(10),3543051(10),7519(13),9671(13),2683722(12)]),flip(a)]. 4196041 a(x,y,(z \ ((u \ 1) \ z)) \ (w * a(z,u,u))) = a(x,y,u \ w). [back_rewrite(3644872),rewrite([4195972(8)])]. 4239120 L(x,(y * ((z \ y) \ (y \ 1))) \ u,w) = L(x,((y \ 1) * z) \ u,w). [para(908459(a,1),567869(a,1,2,1,2)),rewrite([1305179(11),3826951(7),3845869(14),10382(17),905(16),10095(12)])]. 4250118 a(a(x,x,y) * (z \ L(y \ K(x,u),x,x)),w,v5) = a(z \ y,w,v5). [para(325977(a,2),9255(a,1,1,2,2)),rewrite([814(6),816(5),1621957(4),19(2),295140(9),1465800(8),6629(12),847(14),10000(13),679(10),52453(11)])]. 4288426 L(x,((y * z) * u) \ (w * y),v5) = L(x,((z * y) * u) \ (y * w),v5). [para(299015(a,1),7305(a,1,2)),rewrite([11358(11)]),flip(a)]. 4292039 R(x,y,L((L(z,u,u) \ u) \ 1,z,z)) = R(x,y,u \ z). [para(4149(a,1),1537250(a,2,3)),rewrite([889(5),22(4),878(3),22(2),3687559(6),1927829(7),1765947(6),2006(10),492(8)])]. 4293027 x / L(y,z \ (y \ x),z) = z * ((z \ x) / y). [hyper(6259,a,7792,a(flip),b,20879,a),rewrite([299209(5),2008(3),1742(7),18521(7),25080(6),1104(12),3003855(12)])]. 4306337 (L(x,x,y) * z) \ (L(x,u,a(w,x,y)) * z) = a(y,x,L(x,u,w)). [para(2019657(a,1),1719184(a,2,3)),rewrite([299(3),6563(3),8427(3),8982(5),216836(6),216840(6),13307(10),1400398(9),1400251(9)])]. 4311384 L(x,y,y) * (((z \ u) / u) * z) = L(x * (((z \ u) / u) * z),y,y). [para(7181(a,2),551765(a,1,1,2)),rewrite([6909(4),335586(4),11354(7),1448871(7),1546480(5),1754941(5)])]. 4311510 L(x * (((y \ z) / z) * y),y,y) = ((y \ z) / z) * (y * x). [back_rewrite(334390),rewrite([4311384(5)])]. 4311638 L(x,y * a(x,z,z),y) = L(x,y,y). [para(9109(a,1),2449249(a,1,1)),rewrite([9232(2)])]. 4311718 L(x,a(x,y,y) * z,z) = L(x,z,z). [hyper(5882,a,4311638,a)]. 4315780 a(x,y * a(z,a(z,u,u) * w,w),v5) = a(x,y * a(z,w,w),v5). [para(4311718(a,1),1517987(a,1,2,1,1)),rewrite([1517987(6),93458(6),20(5)]),flip(a)]. 4317547 (a(x,y,z) / u) * (a(z,w,a(x,y,y)) * u) = a(x,y,L(z,w,y)). [para(9114(a,2),1856646(a,1,2,1)),rewrite([13597(5),8871(9),1891828(9)])]. 4330229 a(x,L(((T(y,z) / (y / z)) \ 1) \ u,z,z),w) = a(x,z * u,w). [para(669825(a,1),797277(a,2,2)),rewrite([1307943(7),919(11),492(10),881(9),492(8),2332(13),2129(11),763(11),97545(12)])]. 4332439 a(x * L(y \ z,z,z),u,z) = a(z * (x * L(y,z,z)),u,z). [para(664011(a,1),11483(a,2,1,1)),rewrite([439443(10),814(11),823(10),7143(10),99312(10),11483(9),559434(5),814(11),835(10),1573722(10),5146(7),97860(10),192164(9),803895(8)])]. 4340981 a(x,y,(z \ 1) \ L(x \ u,z,x)) = a(x,y,(z \ x) \ u). [para(393999(a,1),8862(a,1,3,1)),rewrite([774(6),3839(7),815(7),1767138(10),4025598(9)]),flip(a)]. 4351899 L(x,L(y,y,z) \ u,w) = L(x,(((y * T(z,v5)) \ z) \ 1) \ u,w). [para(2180820(a,2),13663(a,2,2,1)),rewrite([919(7),11460(7),5523(6),881(6),895(6),6401(5),81843(5),371181(5),878(8),151414(8),10888(7),2200713(7),1997679(5),2180820(8),637899(10)])]. 4383506 L(x,((y * a(z,u,y)) \ w) * v5,v6) = L(x,v5 * (L(y,u,z) \ w),v6). [para(1158685(a,1),152141(a,2,2,1,1)),rewrite([5830(7),1298358(9),1581854(6),11037(7),6578(4),1844645(5),902(11),6578(8)]),flip(a)]. 4403442 L(x,y * (L(z,z,u) \ u),w) = L(x,y * ((z \ 1) * u),w). [para(138495(a,1),2313398(a,1,2,2,1)),rewrite([2636639(4),1764110(12),99951(9)])]. 4404316 R(x,y,L(((1 / z) * (1 / z)) * u,z,z)) = R(x,y,z \ (z \ u)). [para(2402552(a,1),484729(a,2,3)),rewrite([5876(9),703895(8),11664(9),3412714(9),11664(15),5400(14),11664(15),2152579(15)])]. 4408389 L(x,y \ L((z \ u) \ 1,z \ u,u),w) = L(x,y \ (u \ z),w). [para(741(a,2),626486(a,2,2,2,2)),rewrite([436514(12)])]. 4408423 L(x,L(y \ 1,y,z) \ L(z \ 1,z,y),u) = L(x,z \ y,u). [para(325688(a,1),626486(a,2,2)),rewrite([403326(4),32(6),4175(11),3264(6),151175(9),152269(8),12624(14)])]. 4413095 ((x * y) * z) / T(L(x,y,a(z,x,u)) * y,z) = L(z,x,a(x,y,u)). [para(600785(a,1),70149(a,1,1,1)),rewrite([13307(6),1564247(6),2387628(7),2787476(11),1483439(10)])]. 4474935 a(a(x,x,y) * (L(z / (z / x),x,y) \ u),w,v5) = a(x \ u,w,v5). [para(1132545(a,1),1203544(a,2,1)),rewrite([8075(8),8172(8),7404(8),900(11),492(9)])]. 4475426 a(x \ (y \ x),x * L(y,z,u),w) = a(y,x * L(y,z,u),w). [para(235543(a,1),13241(a,1,2)),rewrite([3463331(8),2321(6),235543(9),2321(9)])]. 4475475 a(x,y * L(x,z,u),u) = a(x,y * x,u). [back_rewrite(1658435),rewrite([4475426(5)])]. 4481176 R(x,y,((z \ (u \ z)) * w) * u) = R(x,y,(z \ (u \ z)) * (u * w)). [para(7181(a,2),299476(a,1,3)),rewrite([881(6),8426(6),1315493(8),4311384(5),4311510(5),1844(5),9644(10)]),flip(a)]. 4481188 R(x,y,(z \ (u \ z)) * (u * w)) = R(x,y,u * ((z \ (u \ z)) * w)). [para(11211(a,2),299476(a,1,3,2)),rewrite([881(4),6503(4),8426(3),11211(9),11664(9),435797(9),758151(7),9644(11),439050(11),4481176(10)]),flip(a)]. 4481268 R(x,y,L(z * a(u,u,w),u,u)) = R(x,y,u * ((w \ (u \ w)) * z)). [back_rewrite(2291026),rewrite([4481188(9)])]. 4482541 L(x,a(y,y,z) * (u * L(z * y,y,y)),w) = L(x,u * (z * y),w). [para(7385(a,1),1448450(a,1,2)),rewrite([9288(9)]),flip(a)]. 4485689 L(a(x \ y,z,u) \ 1,x,a(w,w,y)) = R(x \ y,z,u) \ (x \ y). [para(834644(a,1),246870(a,1,2)),rewrite([866103(4)]),flip(a)]. 4492158 L(x,x,a(y,z,u)) * w = x * w. [para(9398(a,2),122862(a,1,1)),rewrite([2334753(4)]),flip(a)]. 4492159 L(x,y,a(z,x,u)) * w = x * w. [para(9398(a,2),122862(a,2,1)),rewrite([9398(7),4492158(6)])]. 4492175 L(x,x,a(y,z,u)) = x. [para(122862(a,2),12495(a,1,1)),rewrite([4492159(4),1888879(5),1888800(5),13405(3)]),flip(a)]. 4492299 L(x,y,a(z,x,u)) = x. [para(122862(a,1),11308(a,1,2)),rewrite([4492175(4),11308(6)]),flip(a)]. 4492325 (1 / x) \ a(y,z,u) = x * a(y,z,u). [para(122862(a,2),10804(a,1)),rewrite([4492299(2),9435(3)])]. 4492337 a(x,y,a(z,u,u)) = 1. [para(122862(a,2),11633(a,1,2)),rewrite([4492299(5),1444668(7),8982(2),991(5),5286(5),380(3),20(4),991(5),5286(5),380(3)])]. 4492510 a(x,y,a(z,u,y)) = 1. [para(122862(a,1),42521(a,1,2)),rewrite([4492175(3),374(3),8982(4),80726(4)]),flip(a)]. 4492541 a(x,x,L(y,z,u)) = a(x,x,y). [back_rewrite(4063899),rewrite([4492175(3),5069(5)])]. 4492563 L(x,y,a(z,z,u)) = x. [back_rewrite(4001307),rewrite([4492175(2),1858216(5)])]. 4492568 (x * y) * a(y,z,u) = x * R(y,z,u). [back_rewrite(3901039),rewrite([4492175(2),4492325(7)]),flip(a)]. 4492569 R(x,y,L(z,u,u)) = R(x,y,z). [back_rewrite(3878654),rewrite([4492175(2),3673323(4)])]. 4492582 L(x,y,a(z,u,y)) = x. [back_rewrite(3569864),rewrite([4492175(2),9392(5)])]. 4492589 a(x,y,L(z,u,u)) = a(x,y,z). [back_rewrite(3347744),rewrite([4492175(2),3866(5),8871(4),9200(4),20(2)])]. 4492590 (x \ 1) * a(y,z,u) = x \ a(y,z,u). [back_rewrite(3322998),rewrite([4492175(2),2251177(6)])]. 4492597 R(x,y,z) * (x \ u) = u * a(x,y,z). [back_rewrite(2819609),rewrite([4492175(2),13511(4)])]. 4492611 a(x,y,L(z,x,u)) = a(x,y,z). [back_rewrite(2302551),rewrite([4492175(6),42423(8),3264(3)])]. 4492612 x * (R(x,y,z) \ u) = a(x,y,z) \ u. [back_rewrite(2258424),rewrite([4492175(2)])]. 4492616 (a(x,y,z) \ x) * u = x * (a(x,y,z) \ u). [back_rewrite(2138384),rewrite([4492175(2)]),flip(a)]. 4492633 L(x,a(y,z,z),u) = x. [back_rewrite(2019371),rewrite([4492175(2),3914000(4),22(2),4492582(4)])]. 4492635 L(x,y,a(z,u,u)) = x. [back_rewrite(1955729),rewrite([4492175(2),2850354(4),1724148(3)])]. 4492652 x * (L(x,y,z) \ u) = a(z,y,x) * u. [back_rewrite(927141),rewrite([4492175(2)])]. 4492658 x * (a(x,y,z) * u) = R(x,y,z) * u. [back_rewrite(42592),rewrite([4492175(2)])]. 4492663 L(x,y,a(y,z,u)) = x. [back_rewrite(4413095),rewrite([4492299(4),511(5)]),flip(a)]. 4492665 a(x,y,L(y,z,u)) = a(x,y,y). [back_rewrite(4306337),rewrite([4492299(4),13571(4),8149(2)]),flip(a)]. 4492682 a(x \ y,z,u) = a(x * y,z,u). [back_rewrite(1650069),rewrite([4492299(2),13435(6)]),flip(a)]. 4492689 a(x,y,L(z,u,y)) = a(x,y,z). [back_rewrite(4317547),rewrite([4492337(4),19(4),24(3)]),flip(a)]. 4492756 R(x,y,(z \ 1) \ u) = R(x,y,z * u). [back_rewrite(2150764),rewrite([4492337(2),19(6)])]. 4492769 L(x,y,z \ u) = L(x,y,u * z). [back_rewrite(2066271),rewrite([4492337(2),19(4)]),flip(a)]. 4492775 a(x,y,(z \ 1) * u) = a(x,y,z \ u). [back_rewrite(1961204),rewrite([4492337(2),19(6)])]. 4492776 a(x,y,(z \ 1) \ u) = a(x,y,u * z). [back_rewrite(1961203),rewrite([4492337(2),19(4)]),flip(a)]. 4492787 a(x,y,L(z,u * z,u)) = a(x,y,z). [back_rewrite(1892579),rewrite([4492337(2),4492589(3),19(3)]),flip(a)]. 4492788 a(x,y,(z \ u) \ 1) = a(x,y,u \ z). [back_rewrite(1892576),rewrite([4492337(2),19(6),4492775(8)])]. 4492791 a(x * (y \ x),z,u) = a(y,z,u). [back_rewrite(1891439),rewrite([4492337(2),4492682(4),19(5)])]. 4493069 L(x \ L(x,y,z),u,u) = a(z,y,x) \ 1. [back_rewrite(3267239),rewrite([4492175(2),1382618(4)])]. 4493305 a(x,y,z) \ (u \ 1) = u \ (z \ L(z,y,x)). [back_rewrite(1951992),rewrite([4492175(2)]),flip(a)]. 4493448 (x * a(y,z,x)) \ u = x \ (a(y,z,x) \ u). [back_rewrite(2486548),rewrite([4492299(2)]),flip(a)]. 4495159 (x / y) * a(z,u,y) = x / L(y,u,z). [back_rewrite(4174660),rewrite([4492589(5),4492325(5)])]. 4495610 (x * y) * a(z,u,y) = x * (y * a(z,u,y)). [back_rewrite(2159972),rewrite([4492589(2),4492325(8)]),flip(a)]. 4495713 (x \ y) * a(z,u,x) = L(x,u,z) \ y. [back_rewrite(1844299),rewrite([4492589(5),4492325(5)])]. 4496929 L(x,a(y,y,z),u) = x. [back_rewrite(2019140),rewrite([4492563(4),4492337(4),20(4)])]. 4499916 a(x,y,L(z \ 1,z,u)) = a(x,y,z \ 1). [back_rewrite(2104112),rewrite([4492510(6),20(6)])]. 4500407 (x * a(y,y,z)) / u = a(y,y,z) * (x / u). [back_rewrite(4127166),rewrite([4492541(2)])]. 4500420 x \ (a(y,y,z) * u) = (x \ u) * a(y,y,z). [back_rewrite(4084739),rewrite([4492541(2)])]. 4500574 (a(x,x,y) * z) / u = a(x,x,y) * (z / u). [back_rewrite(3842864),rewrite([4492541(2)])]. 4500605 (x * (y * a(z,z,x))) * u = a(z,z,x) * ((x * y) * u). [back_rewrite(3820457),rewrite([4492541(2)]),flip(a)]. 4501056 x \ (y * a(z,z,u)) = a(z,z,u) * (x \ y). [back_rewrite(2447442),rewrite([4492541(2)]),flip(a)]. 4501150 x * (a(y,y,z) * (x \ u)) = u * a(y,y,z). [back_rewrite(2287501),rewrite([4492541(2)]),flip(a)]. 4501193 (a(x,x,y) \ z) \ u = a(x,x,y) * (z \ u). [back_rewrite(2260340),rewrite([4492541(3),4501056(3)]),flip(a)]. 4501904 R(x \ y,z,u) \ (x \ y) = a(x * y,z,u) \ 1. [back_rewrite(4485689),rewrite([4492682(2),4492563(6)]),flip(a)]. 4502937 (a(x,y,y) \ z) / u = a(x,y,y) \ (z / u). [back_rewrite(2503793),rewrite([4492563(4)])]. 4502945 (x * (y * a(z,z,u))) \ R(z,z,u) = (x * y) \ z. [back_rewrite(2492538),rewrite([4492563(2)]),flip(a)]. 4502965 x \ (y * a(z,u,u)) = a(z,u,u) * (x \ y). [back_rewrite(2449355),rewrite([4492563(2)])]. 4502967 x \ (a(y,z,z) * u) = a(y,z,z) * (x \ u). [back_rewrite(2449242),rewrite([4492563(2)])]. 4503498 L(x,y,a(z,z * u,u)) = x. [back_rewrite(882966),rewrite([4492563(4)]),flip(a)]. 4503681 a(x,y,L(L(z,x,u),w,v5)) = a(x,y,L(z,w,v5)). [back_rewrite(1723591),rewrite([4492568(3),4492682(4),712776(3),13265(4),97938(4),4492589(3)]),flip(a)]. 4503696 R(x,y,z * ((u \ (z \ u)) * w)) = R(x,y,w * a(z,z,u)). [back_rewrite(4481268),rewrite([4492569(4)]),flip(a)]. 4503725 R(x,y,(z * z) \ u) = R(x,y,z \ (z \ u)). [back_rewrite(4404316),rewrite([4492569(8),614621(7),4824(5),3513(5),3395(4)])]. 4503862 R(x,y,(z \ u) \ 1) = R(x,y,u \ z). [back_rewrite(4292039),rewrite([4492569(6),2967110(5),4492569(5)])]. 4504180 R(x,y,L(z \ 1,u,w) \ v5) = R(x,y,L(z,u,w) * v5). [back_rewrite(3650597),rewrite([4492569(6)])]. 4507282 x * R(x \ y,z,u) = y * a(y * x,z,u). [back_rewrite(1650612),rewrite([4492682(2),4503498(6)]),flip(a)]. 4509096 a(x,y,L(z \ 1,u,w) \ v5) = a(x,y,L(z,u,w) * v5). [back_rewrite(3650596),rewrite([4492589(6)])]. 4509369 a(x,y,L(z,u,w) \ (u * w)) = a(x,y,((z \ 1) * u) * w). [back_rewrite(3090150),rewrite([4492589(6)]),flip(a)]. 4510492 a(x,y,L(z \ 1,u,w) * v5) = a(x,y,L(z,u,w) \ v5). [back_rewrite(1709487),rewrite([4492589(6),782(5)])]. 4510729 L(x,a(y,z,u * (u * w)),v5) = L(x,a(w,z,y),v5). [back_rewrite(1123867),rewrite([4492589(6)])]. 4511289 L(a(x,y,z) \ x,u,x) \ w = (L(x,u,x) \ w) * a(x,y,z). [back_rewrite(4060549),rewrite([4492597(5)]),flip(a)]. 4511731 L(x,y \ (x \ z),y) = (y * ((y \ z) / x)) \ z. [back_rewrite(1837315),rewrite([4492597(6),4495159(5),4293027(4)]),flip(a)]. 4513277 a(x,y,L(z,x * u,w)) = a(x,y,L(z,u,w)). [back_rewrite(2946629),rewrite([4492611(4),4503681(6)]),flip(a)]. 4513498 a((x * (y * z)) * (x * y),u,w) = a(z,u,L(w,y,x)). [back_rewrite(2173032),rewrite([4492682(5),4492611(9),4513277(8)])]. 4513529 a(x,y,x * (L(z,x,x) \ (x \ u))) = a(x,y,z \ u). [back_rewrite(2066643),rewrite([4492611(6),10837(5)])]. 4513592 a(x,y,z \ ((x \ 1) \ u)) = a(x,y,x * (z \ u)). [back_rewrite(1946144),rewrite([4492611(6)])]. 4513874 a(x,y,z \ L((z * x) * u,x,x)) = a(x,y,x * u). [back_rewrite(1389492),rewrite([4492611(8)])]. 4515256 R(x,y,z) \ (x * u) = a(x,y,z) \ u. [back_rewrite(5135),rewrite([4492612(6)])]. 4515621 a(x,y,(z * (a(z,u,w) \ v5)) * v6) = a(x,y,(L(z,u,w) * v5) * v6). [back_rewrite(2169858),rewrite([4492616(3)])]. 4515777 (x * y) * a(z,u,u) = x * (a(z,u,u) * y). [back_rewrite(4016068),rewrite([4492665(4),2268095(4),21(5)]),flip(a)]. 4515834 x \ (y * (z * a(u,z,z))) = (x \ (y * z)) * a(u,z,z). [back_rewrite(3088653),rewrite([4492665(2)])]. 4515896 x / (y * a(z,u,u)) = a(z,u,u) \ (x / y). [back_rewrite(2162139),rewrite([4492665(3),4502937(6)])]. 4516161 (x * a(y,z,z)) * u = x * (a(y,z,z) * u). [back_rewrite(3914361),rewrite([4492633(4)]),flip(a)]. 4516172 (a(x,x,y) \ z) * u = z * (a(x,x,y) \ u). [back_rewrite(3913927),rewrite([4492633(4)]),flip(a)]. 4516260 (a(x,y,y) * z) \ u = a(x,y,y) \ (z \ u). [back_rewrite(2645521),rewrite([4492633(5)])]. 4516283 (x * a(y,y,z)) * u = x * (a(y,y,z) * u). [back_rewrite(2448683),rewrite([4492633(4)])]. 4519580 x * (a(y,z,a(u,w,x)) * v5) = L(x,w,a(y,z,u)) * v5. [back_rewrite(1133758),rewrite([4492658(8),5242(6)])]. 4519855 (x * y) * a(z,z,u) = x * (a(z,z,u) * y). [back_rewrite(1546054),rewrite([4492663(2),4492652(3)]),flip(a)]. 4519865 (a(x,x,y) * z) * u = a(x,x,y) * (z * u). [back_rewrite(938032),rewrite([4492663(2),4492652(3)])]. 4520306 (a(x,y,y) \ z) \ u = a(x,y,y) * (z \ u). [back_rewrite(2133594),rewrite([4492665(3),4502967(6)])]. 4522118 a(a(x,x,y) * (L(z / (z / x),x,y) \ u),w,v5) = a(x * u,w,v5). [back_rewrite(4474935),rewrite([4492682(9)])]. 4523251 a(a(x,x,y) * (z \ L(y \ K(x,u),x,x)),w,v5) = a(z * y,w,v5). [back_rewrite(4250118),rewrite([4492682(9)])]. 4525180 a(a(x,x,y) * (z \ u),w,v5) = a(a(x,x,y) * (u * z),w,v5). [back_rewrite(3894281),rewrite([4492682(5),2129159(5),4519865(3),4501056(7)]),flip(a)]. 4525901 a((x * y) * z,u,y) = a(x * (y \ z),u,y). [back_rewrite(3819844),rewrite([4492787(5),4492682(6)])]. 4526647 a((x \ y) * a(z,z,u),w,v5) = a(y * (a(z,z,u) * x),w,v5). [back_rewrite(3681261),rewrite([4501056(4),4525180(5),1135365(5),4519855(3),4500420(7)]),flip(a)]. 4527989 L(x,y,a(z * (x * u),u,w)) * a(w,y,a(x,u,x * (u \ z))) = x. [back_rewrite(3488900),rewrite([4492682(3)])]. 4530692 a(a(x,x,y) * (L((z * z) \ y,x,x) * u),w,v5) = a(u * y,w,v5). [back_rewrite(2842051),rewrite([4525180(7),4492682(9)])]. 4531022 a(x,y,x \ ((z \ 1) \ u)) = a(x,y,(x \ u) * z). [back_rewrite(2743129),rewrite([4492682(7),4492791(7),8862(5),4492776(5)]),flip(a)]. 4534917 a(x * (y \ ((x * y) \ z)),u,w) = a(z,u,L(w,x,y)). [back_rewrite(1946283),rewrite([4492682(5),4513498(10)])]. 4535360 a(x * (y \ ((z * y) * x)),u,w) = a(z,u,L(L(w,x,y),y,x)). [back_rewrite(1885754),rewrite([4492682(5)])]. 4537062 a(((x \ y) \ (z * y)) * (x * z),u,w) = a(z,x,a(y * x,u,w)). [back_rewrite(1619469),rewrite([4492682(6)])]. 4538018 a((x * y) * (a(z,z,y) * u),w,v5) = a(u * (x * L(y,z,z)),w,v5). [back_rewrite(1399163),rewrite([4500420(4),4526647(5),4492682(9)])]. 4538080 a(x,y,a((z * x) * u,w,v5)) = a(x,y,a(z * (x \ u),w,v5)). [back_rewrite(1390051),rewrite([4492682(3),4492682(7)])]. 4540479 a(x,y,a((x * z) * u,w,v5)) = a(x,y,a(z * (x \ u),w,v5)). [back_rewrite(8855),rewrite([4492682(3),4492682(7)])]. 4540603 L(x,y,a(z,u,L(w,v5,y))) = L(x,u,a(z,y,w)). [back_rewrite(4013490),rewrite([4513277(3),4492689(5)])]. 4540612 a(x,y,a(z,u,L(w,v5,y))) = a(w,u,a(z,y,x)). [back_rewrite(4013438),rewrite([4513277(3),4492689(5)])]. 4540754 a(x,x * y,L(z,u,y)) = a(x,x * y,z). [back_rewrite(3898164),rewrite([4492689(4)]),flip(a)]. 4542640 R(x,y,L(z \ u,z \ u,z) \ w) = R(x,y,(u \ z) * w). [back_rewrite(4092303),rewrite([4492756(10)])]. 4547716 L(x,y,a(z,u,u) * ((u \ z) \ w)) = L(x,y,w * (u * z)). [back_rewrite(3860624),rewrite([4492769(8)])]. 4549528 L(x,y,(z \ ((u * z) * w)) * (w * u)) = L(x,y,a(w,u,z)). [back_rewrite(3295457),rewrite([4492769(6)])]. 4551596 L(x,y,(z \ (u \ (w * z))) * (u \ w)) = L(x,y,a(u,u * w,z)). [back_rewrite(2289345),rewrite([4492769(6)])]. 4552553 L(x,y,a(z,z,u) * ((u * w) * v5)) = L(x,y,(L(u,z,z) * w) * v5). [back_rewrite(2030437),rewrite([4492769(5),4500605(4),4492769(9)])]. 4555188 L(x,y,z / u) = L(x,y,z * u). [back_rewrite(919),rewrite([4492769(4)])]. 4555542 a(x,y,z * (u \ (((w \ u) \ 1) \ u))) = a(x,y,(u \ w) \ z). [back_rewrite(2488076),rewrite([4492775(12)])]. 4555596 a(x,y,L(z \ u,z,u) * w) = a(x,y,(z * (u \ 1)) \ w). [back_rewrite(2132833),rewrite([4492775(11)])]. 4555653 a(x,y,(z \ x) \ u) = a(x,y,x \ (z * u)). [back_rewrite(1898476),rewrite([4492775(5)])]. 4555823 a(x,y,L(x \ z,u,x) * u) = a(x,y,x \ (u * z)). [back_rewrite(4340981),rewrite([4492776(6),4555653(7)])]. 4555868 a(x,y,(z \ ((u \ 1) \ z)) \ w) = a(x,y,w * (z \ (u \ z))). [back_rewrite(4195972),rewrite([4492776(6)]),flip(a)]. 4555907 a(x,y,L(z,u,x) * u) = a(x,y,L(u,u,x) * z). [back_rewrite(4025598),rewrite([4509096(5),4492776(8)]),flip(a)]. 4556173 a(x,y,(z \ L(u \ 1,u,w)) \ a(u,u,w)) = a(x,y,u * z). [back_rewrite(2139817),rewrite([4492776(11)])]. 4556353 L(x,y,a(z,u,w \ v5)) = L(x,y,a(z,u,v5 * w)). [back_rewrite(10646),rewrite([4492776(4)]),flip(a)]. 4557282 a(x,y,(z \ u) \ a(w,w,z)) = a(x,y,u \ L(z,w,w)). [back_rewrite(2016597),rewrite([4492788(5)]),flip(a)]. 4557585 x / (y * L(y \ x,z,u)) = a(u,z,y \ x). [back_rewrite(55453),rewrite([4492788(8)])]. 4563905 L(x,(y \ (a(z,u,y) \ w)) * v5,v6) = L(x,v5 * (L(y,u,z) \ w),v6). [back_rewrite(4383506),rewrite([4493448(3)])]. 4567153 (x * a(y,z,u)) * u = x * (u * a(y,z,u)). [back_rewrite(6547),rewrite([4495610(6)])]. 4567281 R(x,y,z * L(z \ (u \ z),w,v5)) = R(x,y,L(u,w,v5) \ z). [back_rewrite(2687982),rewrite([4495713(3)]),flip(a)]. 4568679 x / (a(y,y,z) * u) = a(y,y,z) \ (x / u). [back_rewrite(2681088),rewrite([4496929(5)])]. 4568718 (a(x,x,y) * z) \ u = a(x,x,y) \ (z \ u). [back_rewrite(2135300),rewrite([4496929(5)])]. 4570447 (x / y) * (a(z,u,y \ 1) \ y) = a(z,u,y \ 1) \ x. [back_rewrite(2269238),rewrite([4499916(4)]),flip(a)]. 4572182 a(x,x,y) * (z / T(u * a(x,x,y),w)) = z / T(u,w). [back_rewrite(2590628),rewrite([4501193(5),4501150(6),4500407(6)])]. 4572600 a(x,(L(y \ 1,y,z) \ u) * a(y,y,z),w) = a(x,(y \ 1) \ u,w). [back_rewrite(2178953),rewrite([4500420(6)])]. 4573738 a(x,x,y) * (z * u) = z * (u * a(x,x,y)). [back_rewrite(4084834),rewrite([4501056(6),3141(5)])]. 4573804 a(x,y,a(z,z,u) * (w \ (v5 \ u))) = a(x,y,w \ (v5 \ L(u,z,z))). [back_rewrite(3789663),rewrite([4501056(4)])]. 4576249 (x * a(y,y,z)) \ u = a(y,y,z) \ (x \ u). [back_rewrite(2492501),rewrite([4502945(6),4568718(3)]),flip(a)]. 4576271 a(x,y,a(z,u,u) * ((z \ ((u \ 1) \ z)) \ w)) = a(x,y,u \ w). [back_rewrite(4196041),rewrite([4502965(7)])]. 4576705 x / (y * a(z,z,u)) = a(z,z,u) \ (x / y). [back_rewrite(2449006),rewrite([4568679(6),4515896(5),853540(5)]),flip(a)]. 4578601 R(x,y,((z \ 1) \ (z * u)) \ w) = R(x,y,z \ (z \ (u \ w))). [back_rewrite(2250840),rewrite([4503725(10)])]. 4578706 R(x,y,z \ ((u * u) \ w)) = R(x,y,u \ (u \ (z \ w))). [back_rewrite(183833),rewrite([4503725(4)]),flip(a)]. 4578823 R(x,y,(z \ u) \ a(w,w,u)) = R(x,y,L(u,w,w) \ z). [back_rewrite(1215129),rewrite([4503862(5)]),flip(a)]. 4579821 R(x,y,((z \ 1) \ u) * a(w,z,z)) = R(x,y,L(z,z,w) * u). [back_rewrite(3022696),rewrite([4504180(11)])]. 4583556 a(x,y,a(z,z,u) * ((u \ 1) \ w)) = a(x,y,L(u,z,z) * w). [back_rewrite(1749925),rewrite([4509096(11)])]. 4584320 a(x,y,L(z,u,w) \ (w * L(u,z,z))) = a(x,y,w * (z \ u)). [back_rewrite(2967035),rewrite([4510492(7)])]. 4585130 L(x,(y \ z) * a(y,u,w),v5) = L(x,L(y,u,w) \ z,v5). [back_rewrite(3613111),rewrite([4511289(4),300182(5)])]. 4585988 a(x,y,(z * (x \ 1)) \ u) = a(x,y,x * (z \ u)). [back_rewrite(1389754),rewrite([4513592(10)])]. 4586810 a(x,y,x * (a(z,u,u) * (L(z,u,u) \ w))) = a(x,y,x * (z \ w)). [back_rewrite(2066598),rewrite([4515777(5)])]. 4586912 a(x,(y \ (z * u)) * a(w,u,u),v5) = a(x,y \ (z * L(u,u,w)),v5). [back_rewrite(1701122),rewrite([4515834(4)])]. 4588068 L(x,a(y,z,z) * (u \ L(z \ 1,z,y)),w) = L(x,u \ (z \ 1),w). [back_rewrite(3442396),rewrite([4516260(6),8380(7)])]. 4588302 a(x,(y \ z) * (a(u,u,z) * w),v5) = a(x,(y \ L(z,u,u)) * w,v5). [back_rewrite(3604408),rewrite([4516283(4)])]. 4589871 L(x,y,a(z,u,w)) * a(w,x,a(u,y,z)) = L(x,a(z,y,w),u). [back_rewrite(2850317),rewrite([4519580(6)])]. 4590111 a(x,y,a(z,z,u) * (w * (x \ a(z,z,u)))) = a(x,y,x \ w). [back_rewrite(1945154),rewrite([4519855(7),2129646(8),4519865(5)])]. 4590301 L(x,a(y,y,z) * ((u * z) * w),v5) = L(x,w * (u * L(z,y,y)),v5). [back_rewrite(2288212),rewrite([4519865(4)])]. 4590302 L(x,a(y,y,z) * ((y \ u) * w),v5) = L(x,w * (L(y,y,z) \ u),v5). [back_rewrite(2288205),rewrite([4519865(4)])]. 4590328 a(x,y,a(z,z,u) * ((w * u) * v5)) = a(x,y,v5 * (w * L(u,z,z))). [back_rewrite(1876494),rewrite([4519865(4)])]. 4590608 (x \ (a(y,z,z) \ y)) \ u = a(y,z,z) * ((x \ y) \ u). [back_rewrite(3962254),rewrite([4520306(6),1133291(5)]),flip(a)]. 4592778 a(a(x,x,y) * (L(y \ K(x,z),x,x) * u),w,v5) = a(u * y,w,v5). [back_rewrite(4523251),rewrite([4525180(7)])]. 4592779 a(a(x,x,y) * (z * L(u / (u / x),x,y)),w,v5) = a(x * z,w,v5). [back_rewrite(4522118),rewrite([4525180(7)])]. 4592802 a(a(x,x,y) * (z * (u * y)),w,z) = a(z * (u * L(y,x,x)),w,z). [back_rewrite(1575435),rewrite([4525180(5)])]. 4592949 a(x,y,(z * u) * (x \ a(u,u,z))) = a(x,y,(x \ z) * u). [back_rewrite(2446351),rewrite([4531022(10)])]. 4593204 a(x,y,(z * u) \ x) = a(x,y,z \ (u \ x)). [back_rewrite(1575266),rewrite([4534917(7),8602(4)]),flip(a)]. 4593560 a(x,y,a(z * (x \ y),u,w)) = a(w,u,a(x,y,x * (y \ z))). [back_rewrite(3934527),rewrite([4540479(4)])]. 4594071 R(x,y,a(z,u,u) * ((w * z) \ v5)) = R(x,y,(w * L(z,u,u)) \ v5). [back_rewrite(3957397),rewrite([4568718(4),1315432(5)])]. 4594759 a(x,y,z \ ((u \ 1) \ x)) = a(x,y,(z \ x) * u). [back_rewrite(3232517),rewrite([4555596(4),4593204(5),4593204(10),4492776(10)])]. 4601764 R(x,y,a(z,u,u) * (w \ L((u \ w) * w,u,z))) = R(x,y,u \ w). [back_rewrite(1759394),rewrite([4576249(6),1315432(7)])]. 4601765 L(x,a(y,y,z) * (u \ L((y \ u) * u,y,z)),w) = L(x,y \ u,w). [back_rewrite(1758523),rewrite([4576249(6),8380(7)])]. 4603241 L(x,y * L(y \ (z \ y),u,w),v5) = L(x,L(z,u,w) \ y,v5). [back_rewrite(1958110),rewrite([4585130(4)]),flip(a)]. 4603935 L(x,a(y,z,z) * ((u \ y) \ w),v5) = L(x,(u \ L(y,z,z)) \ w,v5). [back_rewrite(3961782),rewrite([4590608(4)])]. 4613099 (x * (a(y,y,z) * u)) * w = a(y,y,z) * ((x * u) * w). [hyper(1468,a,4492563,a(flip),b,13302,a),rewrite([4516283(3),4492541(6)])]. 4613119 a(a(x,x,y) * z,u,w) = a(z,u,w). [para(4492563(a,1),5843(a,1,1,2,1)),rewrite([4519865(4),4519865(8),4500420(9),4568718(7),25(6),4516172(5),372(4),20(3),4492563(5)]),flip(a)]. 4613120 L(x,y,a(z,z,u) * w) = L(x,y,w). [para(4492563(a,1),5842(a,1,2,2,1)),rewrite([4519865(7),4500420(8),4568718(6),27(5),4542(5),4516172(4),372(3),20(2),4492563(3)]),flip(a)]. 4613121 a(x,x,y) * R(z,u,w) = R(a(x,x,y) * z,u,w). [para(4492563(a,1),5839(a,1,2,1)),rewrite([4519865(4),4500574(6),28(5),4492563(7)])]. 4613127 a(x * (a(y,y,z) * u),w,v5) = a(u * x,w,v5). [para(4492563(a,1),1475(a,1,1,1)),rewrite([4613119(8)])]. 4613142 a(x,a(y,y,z) * (u * w),v5) = a(x,w * (a(y,y,z) * u),v5). [para(4492563(a,1),3163(a,1,2,1)),flip(a)]. 4613221 R(x,a(y,y,z) * u,w) = R(x,u,w). [para(4492563(a,1),10974(a,1,1,2)),rewrite([4613099(4),4568679(8),4500574(7),28(6),4613121(4),4925(5),4613121(5),22(4),4492563(5)]),flip(a)]. 4613245 R(x,y * a(z,z,u),w) = R(x,y,w). [para(4492563(a,1),430264(a,1,2,1)),rewrite([4613221(3)]),flip(a)]. 4613261 L(x,y,z * a(u,u,w)) = L(x,y,z). [para(4492563(a,1),989985(a,1,3,1)),rewrite([4568718(3),372(2),4516172(4),19(4),4492769(3),4496929(6),4613120(6)])]. 4613277 L(x,a(y,y,z) * (u * w),v5) = L(x,u * (a(y,y,z) * w),v5). [para(4492563(a,1),1832827(a,1,2,1)),rewrite([4516283(3),4501193(8),373(7),4519865(7)]),flip(a)]. 4613374 L(x,y,(z * L(u,w,w)) * v5) = L(x,y,(u * z) * v5). [back_rewrite(865428),rewrite([4613099(4),4613120(5)]),flip(a)]. 4613375 a((x * L(y,z,z)) * u,w,v5) = a((y * x) * u,w,v5). [back_rewrite(861131),rewrite([4613099(4),4613119(5)]),flip(a)]. 4613454 a(x * (y * L(z,u,u)),w,x) = a(x * (y * z),w,x). [back_rewrite(4592802),rewrite([4613119(5)]),flip(a)]. 4613458 a(x * L(y,y,z),u,w) = a(y * x,u,w). [back_rewrite(4592779),rewrite([4613119(7),97799(5),492(2)])]. 4613459 a(x * L(y,z,z),u,w) = a(x * y,u,w). [back_rewrite(4592778),rewrite([4613119(7),248346(5)])]. 4613527 a(L(x,y,y) * z,u,w) = a(z * x,u,w). [back_rewrite(4530692),rewrite([4613119(7),379862(5)])]. 4613746 L(x,y,a(z,u,u) * w) = L(x,y,w). [back_rewrite(1885531),rewrite([4613119(3),4613261(6)])]. 4613747 L(x,y,z * a(u,w,w)) = L(x,y,z). [back_rewrite(1885530),rewrite([4613119(3),4613120(6)])]. 4613809 a(x * (y \ z),u,w) = a(x * (y * z),u,w). [back_rewrite(704172),rewrite([4613119(5)])]. 4613855 L(x,y,(L(z,u,u) * w) * v5) = L(x,y,(z * w) * v5). [back_rewrite(4552553),rewrite([4613120(5)]),flip(a)]. 4614344 a(x * (y * L(z,u,u)),w,v5) = a(x * (y * z),w,v5). [back_rewrite(4538018),rewrite([4613127(5)]),flip(a)]. 4614777 R(x,y * a(z,u,u),w * v5) = R(x,y,v5 * w). [back_rewrite(3310210),rewrite([4613245(8)])]. 4615040 L(x,y,((z \ u) * w) * v5) = L(x,y,((u * z) * w) * v5). [back_rewrite(3388367),rewrite([4613374(5)]),flip(a)]. 4615049 L(x,y,(z \ u) * w) = L(x,y,(u * z) * w). [back_rewrite(1215880),rewrite([4613374(4)]),flip(a)]. 4615085 a(((x \ y) * z) * u,w,v5) = a(((x * y) * z) * u,w,v5). [back_rewrite(3703554),rewrite([4613375(5)]),flip(a)]. 4615228 a(x * (y * z),u,z) = a(z * (x * y),u,z). [back_rewrite(4332439),rewrite([4613459(4),4613809(3),4613454(7)])]. 4615339 a((x \ y) * z,u,w) = a((x * y) * z,u,w). [back_rewrite(4052423),rewrite([4613458(5),1033903(4)]),flip(a)]. 4617036 L(x,y,z * (u \ w)) = L(x,y,z * (u * w)). [back_rewrite(4547716),rewrite([4613746(5),4492769(3)])]. 4617195 a(x,y,a(z * (x * y),u,w)) = a(w,u,a(x,y,x * (y \ z))). [back_rewrite(4593560),rewrite([4613809(3)])]. 4617853 a(x,y,a((z * x) * u,w,v5)) = a(x,y,a(z * (x * u),w,v5)). [back_rewrite(4538080),rewrite([4613809(7)])]. 4618095 a(x * (y * ((z * y) * x)),u,w) = a(z,u,L(L(w,x,y),y,x)). [back_rewrite(4535360),rewrite([4613809(5)])]. 4618885 a((x * y) * z,u,y) = a(x * (y * z),u,y). [back_rewrite(4525901),rewrite([4613809(6)])]. 4621101 a(x,a(y * (z * u),w,u),v5) = a(x,a(u,w,z * (y \ u)),v5). [back_rewrite(3463917),rewrite([4613809(3)])]. 4621564 a(x * ((y \ z) * u),w,v5) = a(x * ((z * y) * u),w,v5). [back_rewrite(2516059),rewrite([4615339(6),4615085(6),797195(6),4613809(8)]),flip(a)]. 4621731 a(x * (y * z),u,a(x,w,v5)) = a(x,u,a(y * (z * x),w,v5)). [back_rewrite(2244497),rewrite([4613809(7)])]. 4621742 a(x,y,a(z * (u * w),v5,w)) = a(x,y,a(w,v5,w * (z * u))). [back_rewrite(2244349),rewrite([4613809(3)])]. 4621808 a((x * y) * ((x * z) * (y * z)),u,w) = a(x * y,x,a(w,u,z)). [back_rewrite(2160891),rewrite([4613809(6),4615339(6)])]. 4621884 a((x * y) * ((z * x) * (z * y)),u,w) = a(w,u,a(y,x,x * z)). [back_rewrite(2114940),rewrite([4613809(6),4621564(6)])]. 4621971 a(((x * y) * (z * y)) * (x * z),u,w) = a(x * z,x,a(w,u,y)). [back_rewrite(1959574),rewrite([4613809(6),4615339(6)])]. 4622040 a(x,y,a(z,u * w,u)) = a(u,w,a(z,y,x)). [back_rewrite(1840270),rewrite([4613809(6),4615085(6),11914(5),1283011(6)]),flip(a)]. 4622359 a(x,y,a(z * u,z,w)) = a(x,y,a(u,z,z * w)). [back_rewrite(1406850),rewrite([4613809(6),4615339(6),4621884(6)]),flip(a)]. 4622629 a(x * (y / z),u,w) = a(x * (z * y),u,w). [back_rewrite(823),rewrite([4613809(6)])]. 4622954 L(x,y,(z * (u \ (u \ w))) * v5) = L(x,y,(w * z) * v5). [back_rewrite(2482520),rewrite([4613855(9)])]. 4623358 a(x * (y * (z \ u)),w,v5) = a(x * (y * (z * u)),w,v5). [back_rewrite(3238855),rewrite([4614344(5)]),flip(a)]. 4624739 R(x,y * a(z,u,u),w) = R(x,y,w). [back_rewrite(1514504),rewrite([4614777(5),395725(3)]),flip(a)]. 4626239 L(x,y,(z * ((z * u) * w)) * (w * u)) = L(x,y,a(w,w * u,z)). [back_rewrite(4551596),rewrite([4617036(6),4615049(6),4615040(6),1215882(6)])]. 4626450 L(x,y,a(z,z * u,w)) = L(x,y,a(z,u,w)). [back_rewrite(4549528),rewrite([4615049(6),1215882(6),4626239(6)])]. 4628722 L(x,y,z * (L(u,w,w) * v5)) = L(x,y,(u * v5) * z). [back_rewrite(2765074),rewrite([4615049(5),4622954(5),4617036(7)]),flip(a)]. 4629111 L(x,y,(z * u) * ((u * w) * (z * w))) = L(x,y,a(u * z,u,w)). [back_rewrite(1959622),rewrite([4617036(6),4615049(6)])]. 4631033 a(x * y,x,a(z,u,w)) = a(y,x,a(w * x,u,z)). [back_rewrite(4537062),rewrite([4615339(6),4615085(6),4621971(6)])]. 4634370 a((x / y) * z,u,w) = a((y * x) * z,u,w). [back_rewrite(832),rewrite([4615339(6)])]. 4638567 L(x,y,(z * u) * ((u \ w) * (z * w))) = L(x,y,a(z,u,u * w)). [back_rewrite(1895071),rewrite([4617036(6)])]. 4639287 L(x,y,z * (u / w)) = L(x,y,z * (w * u)). [back_rewrite(889),rewrite([4617036(6)])]. 4640714 a(x,y,a(z,u,u * (z * w))) = a(x,y,a(z,u,z * (w * u))). [back_rewrite(3917180),rewrite([4621742(4)]),flip(a)]. 4640773 a(x,x * y,a(z,u,w)) = a(w,y,a(x,u,z)). [back_rewrite(4003060),rewrite([4622040(5),3365785(4)]),flip(a)]. 4640777 a(x,y * z,a(u,w,y)) = a(u,z,a(x,w,y)). [back_rewrite(4002906),rewrite([4640773(4),9195(3),4640773(3),4622040(6),1899608(5)]),flip(a)]. 4640783 a(x,y,a(z,x * u,w)) = a(x,y,a(z,u,w)). [back_rewrite(4002663),rewrite([4622040(5),1432153(4)]),flip(a)]. 4640919 x * L(x \ y,x,a(z,u,w)) = L(y,x,a(x * w,u,z)). [back_rewrite(3265223),rewrite([4622359(7),27660(8)])]. 4645355 L(x,y,a(z,u * (z \ w),u)) = L(x,y,a(z,u * w,u)). [back_rewrite(4002723),rewrite([4626450(8),10673(7)])]. 4645367 L(x,L(y \ z,z,z),a(u,w,y)) = L(x,w,a(y,z,u)). [back_rewrite(2784762),rewrite([4626450(7)])]. 4645470 a((x * y) * ((x * z) * (y * z)),u,w) = a(y,x,a(z * x,u,w)). [back_rewrite(4621808),rewrite([4631033(9)])]. 4645496 a(x * y,z,a(y * z,u,w)) = a(y,z,a(w * z,u,x * y)). [back_rewrite(3571936),rewrite([4631033(8)])]. 4645497 a(x,y,a(z * (x * y),u,w)) = a(x,y,a(w * y,u,z * x)). [back_rewrite(3571935),rewrite([4645496(4),4631033(8),4617853(8)]),flip(a)]. 4645906 a(x,y * z,a(z,u,w)) = a(z,y,a(w,u,x)). [back_rewrite(1900809),rewrite([4640773(6),1874486(5)])]. 4646008 a(x,y,a(z,x \ u,w)) = a(x,y,a(z,u,w)). [back_rewrite(2293718),rewrite([4640783(6)])]. 4646075 a(x,y,a(z * y,u,w)) * z = L(z,y,a(y * w,u,x)). [back_rewrite(3506394),rewrite([4640919(8)])]. 4646080 x * a(y * x,z,a(u,y,w)) = L(x,y,a(y * w,z,u)). [back_rewrite(3265219),rewrite([4640919(4)]),flip(a)]. 4647862 L(x,a(y,z,z) * u,w) = L(x,u,w). [para(4492633(a,1),5842(a,1,2,2,1)),rewrite([4516161(7),5840(8),4492635(2),4492633(5),4613747(6)])]. 4647874 R(x,y,a(z,u,u) * w) = R(x,y,w). [para(4492633(a,1),6328(a,1,2,2)),rewrite([4516161(7),28(8),5242(5),4492635(5),4492633(8),4624739(6)])]. 4647916 L(x,y * a(z,u,u),w) = L(x,y,w). [para(4492633(a,1),12096(a,1,2)),rewrite([4520306(7),373(6),4647862(6)])]. 4647937 L(x,a(y,y,z) * u,w) = L(x,u,w). [para(4492633(a,2),12115(a,1,2,1)),rewrite([4492633(3),4647862(3)]),flip(a)]. 4647954 R(x,y,z * a(u,w,w)) = R(x,y,z). [para(4492633(a,1),11399(a,1,3,1)),rewrite([4647874(3),4492633(4)]),flip(a)]. 4647970 (x * (a(y,z,z) * u)) * w = (x * u) * (a(y,z,z) * w). [para(4492633(a,1),123817(a,1,2)),rewrite([4515777(3)])]. 4648046 L(x,(y \ L(z,u,u)) \ w,v5) = L(x,(y \ z) \ w,v5). [back_rewrite(4603935),rewrite([4647862(5)]),flip(a)]. 4648051 L(x,y \ L(z \ 1,z,u),w) = L(x,y \ (z \ 1),w). [back_rewrite(4588068),rewrite([4647862(7)])]. 4648065 L(x,(y * (z \ 1)) \ u,w) = L(x,(z \ y) \ u,w). [back_rewrite(4096705),rewrite([4647862(7)])]. 4648087 L(x,y * a(z,z,u),w) = L(x,y,w). [back_rewrite(1876146),rewrite([4647862(5)]),flip(a)]. 4648099 R(x,y,L(z,z,u) \ w) = R(x,y,z \ w). [back_rewrite(4601764),rewrite([4647874(7),1084945(5),4567281(5)])]. 4648108 R(x,y,(z * L(u,w,w)) \ v5) = R(x,y,(z * u) \ v5). [back_rewrite(4594071),rewrite([4647874(5)]),flip(a)]. 4648136 R(x,y,a(z,z,u) * w) = R(x,y,w). [back_rewrite(3954038),rewrite([4647874(7),1315467(5)])]. 4648160 R(x,y,z \ a(u,u,w)) = R(x,y,z \ 1). [back_rewrite(2163110),rewrite([4647874(5)])]. 4648207 L(x,((y \ 1) \ z) \ u,w) = L(x,(y * z) \ u,w). [back_rewrite(4173626),rewrite([4647916(7)])]. 4648211 L(x,((y \ 1) * z) \ u,w) = L(x,(y \ z) \ u,w). [back_rewrite(4096654),rewrite([4647916(5)]),flip(a)]. 4648224 L(x,y * (a(z,z,u) * w),v5) = L(x,y * w,v5). [back_rewrite(4613277),rewrite([4647937(4)]),flip(a)]. 4648228 L(x,L(y,y,z) \ u,w) = L(x,y \ u,w). [back_rewrite(4601765),rewrite([4647937(7),1084923(5),4603241(5)])]. 4648245 L(x,y * (L(z,z,u) \ w),v5) = L(x,(z \ w) * y,v5). [back_rewrite(4590302),rewrite([4647937(5)]),flip(a)]. 4648246 L(x,y * (z * L(u,w,w)),v5) = L(x,(z * u) * y,v5). [back_rewrite(4590301),rewrite([4647937(5)]),flip(a)]. 4648259 L(x,y * ((z \ 1) \ u),w) = L(x,y * (u * z),w). [back_rewrite(4482541),rewrite([4648246(6),4519855(4),6570(3),9238(2),8630(4),473231(4)])]. 4648293 L(x,(y \ a(z,z,y)) \ u,w) = L(x,u * y,w). [back_rewrite(1834117),rewrite([4648259(6),4647937(4)]),flip(a)]. 4648298 R(x,y,L(z,z,u) * w) = R(x,y,z * w). [back_rewrite(4579821),rewrite([4647954(6),4492756(4)]),flip(a)]. 4648338 L(x,(y \ (z \ y)) \ u,w) = L(x,(z \ 1) \ u,w). [back_rewrite(2763136),rewrite([4648046(5),10643(4)])]. 4648344 L(x,(y \ 1) * z,u) = L(x,y \ z,u). [back_rewrite(4408423),rewrite([4648051(8),455763(6),883(7)])]. 4648346 L(x,y \ ((z \ u) \ 1),w) = L(x,y \ (u \ z),w). [back_rewrite(4408389),rewrite([4648051(7)])]. 4648397 L(x,L(y,z,z),u) = L(x,y,u). [back_rewrite(4078615),rewrite([4648344(9),4648346(7),331765(5),4648344(7),882(5)])]. 4648450 L(x,(y * (z \ (y \ 1))) \ u,w) = L(x,(z \ 1) \ u,w). [back_rewrite(3826951),rewrite([4648065(6),4648338(4)]),flip(a)]. 4648560 L(x,(y \ 1) \ z,u) = L(x,z * y,u). [back_rewrite(1975712),rewrite([4648087(6),4648293(8)])]. 4648606 R(x,y,(z \ u) \ w) = R(x,y,(u \ z) * w). [back_rewrite(4542640),rewrite([4648099(5)])]. 4648644 R(x,y,(z \ (u \ 1)) * w) = R(x,y,(u * z) \ w). [back_rewrite(1828510),rewrite([4648108(4),4648606(8)]),flip(a)]. 4648686 R(x,y,z * a(u,u,w)) = R(x,y,z). [back_rewrite(4117800),rewrite([4648298(6),4503696(5),4648136(6)])]. 4648718 R(x,y,L(z,u,u) \ w) = R(x,y,z \ w). [back_rewrite(4578823),rewrite([4648160(4),4648606(4),20(3)]),flip(a)]. 4648870 L(x,y * (z \ (u \ 1)),w) = L(x,(u * z) \ y,w). [back_rewrite(3428307),rewrite([4648338(7),4648560(7),11160(5),4648207(10)])]. 4649006 L(x,(y \ z) \ u,w) = L(x,u * (z \ y),w). [back_rewrite(4239120),rewrite([4648450(7),4648560(5),4648211(8)]),flip(a)]. 4649044 L(x,(y \ (z \ 1)) * u,w) = L(x,(z * y) \ u,w). [back_rewrite(2963996),rewrite([4648211(7),4649006(5),2637203(5)])]. 4649100 L(x,y * (z \ (u \ z)),w) = L(x,u \ y,w). [back_rewrite(4351899),rewrite([4648228(3),4649006(9),373(7),151414(7),10888(6)]),flip(a)]. 4649113 L(x,(y \ (z \ y)) * u,w) = L(x,z \ u,w). [back_rewrite(2976946),rewrite([4648397(5),4648228(7)])]. 4649176 L(x,y * ((z \ 1) * u),w) = L(x,(z \ u) * y,w). [back_rewrite(4403442),rewrite([4648245(4)]),flip(a)]. 4649178 L(x,y * (L(z,z \ 1,u) \ w),v5) = L(x,(z \ w) * y,v5). [back_rewrite(2540940),rewrite([4648245(10)])]. 4649183 L(x,((y \ 1) \ z) * u,w) = L(x,u * (z * y),w). [back_rewrite(1997601),rewrite([4648246(5),3514(3)]),flip(a)]. 4649237 L(x,(y * y) * z,u) = L(x,y * (z * y),u). [back_rewrite(3970730),rewrite([4648259(8),1304556(6),1304532(5)]),flip(a)]. 4649469 L(x,y * z,a(u,w,y)) = L(x,w,a(y,z,u)). [back_rewrite(4645367),rewrite([4648397(4),1554800(3)])]. 4649872 L(x \ L(x,y,z),u \ w,v5) = L(x \ L(x,y,z),u * w,v5). [back_rewrite(1828209),rewrite([4648344(6)])]. 4649902 L(x,y \ z,a(u,w,v5)) = L(x,y * z,a(u,w,v5)). [back_rewrite(1295805),rewrite([4648344(5)])]. 4651377 R(x,y,(z * (z * u)) \ w) = R(x,y,z \ (z \ (u \ w))). [back_rewrite(4578601),rewrite([4648606(6),4648644(6)])]. 4652425 R(x,y,z \ (z \ (u \ ((z * z) * w)))) = R(x,y,u \ w). [back_rewrite(4092214),rewrite([4651377(6),5728(3),4648718(9)])]. 4652735 L(x,y,a(z,u * (w \ v5),u)) = L(x,w * v5,a(u,y,z)). [back_rewrite(3966894),rewrite([4649469(6),3164499(5),4649902(3)]),flip(a)]. 4652751 L(x,(y \ (z \ K(u,w))) * v5,v6) = L(x,(z * y) \ v5,v6). [back_rewrite(287003),rewrite([4648870(10)])]. 4652807 L(x,(y * (z \ 1)) \ u,w) = L(x,u * (y \ z),w). [back_rewrite(4648065),rewrite([4649006(8)])]. 4654386 L(x,(y * L(y,z,u)) * w,v5) = L(x,y * (w * L(y,z,u)),v5). [back_rewrite(3174499),rewrite([4649237(5),4567153(3),3668283(5),6709(3),99758(4)]),flip(a)]. 4654727 L(x,y,a(z,u * z,w)) = L(x,u,a(w,y,z)). [back_rewrite(3923673),rewrite([4649902(7),2636639(7),3223399(7),4654386(5),4649469(5),4475475(3)])]. 4656795 L(x,y,a(z,u * w,u)) = L(x,y,a(z,w,u)). [back_rewrite(4645355),rewrite([4652735(4),4649469(3)]),flip(a)]. 4657897 L(x,y,a(z,(u * (w \ 1)) * v5,v5)) = L(x,y,a(z,u * w,v5)). [back_rewrite(2130384),rewrite([4656795(10)])]. 4658409 a(x,y * a(z,u,u),w) = a(x,y,a(z,u,u) * w). [para(4492635(a,1),14805(a,2,3)),rewrite([5242(2),4492635(2),4516161(3),4515777(7),4647970(8),25(9)]),flip(a)]. 4658437 a(x,a(y,z,z) * u,w) = a(x,u,a(y,z,z) * w). [para(4492635(a,1),7829(a,1,2,1)),rewrite([4658409(6)])]. 4658714 a(x,y \ (z * u),a(w,u,u) * v5) = a(x,y \ (z * L(u,u,w)),v5). [back_rewrite(4586912),rewrite([4658409(5)])]. 4658718 a(x,a(y,y,z) * u,w) = a(x,u,a(z,y,y) * w). [back_rewrite(4315780),rewrite([4658437(3),2760521(5),4658409(6)])]. 4658735 a(x,y * a(z,z,u),w) = a(x,y,w * a(z,z,u)). [back_rewrite(1628036),rewrite([4658409(4),1701575(4)]),flip(a)]. 4658843 a(x,y * (a(z,z,u) * w),v5) = a(x,w * y,a(u,z,z) * v5). [back_rewrite(4613142),rewrite([4658718(4)]),flip(a)]. 4658883 a(x,y * L(z,u,u),a(z,u,u) * w) = a(x,z * y,w). [back_rewrite(4155827),rewrite([4658718(8),1050677(8),1050700(8)])]. 4658905 a(x,y \ ((z \ 1) * u),a(u,z,z) * w) = a(x,y \ (z \ u),w). [back_rewrite(2015712),rewrite([4658718(7)])]. 4658956 a(x,L(y \ 1,y,z) \ u,w * a(y,y,z)) = a(x,(y \ 1) \ u,w). [back_rewrite(4572600),rewrite([4658735(7)])]. 4658992 a(x,((y \ 1) \ z) \ u,w * a(y,y,z)) = a(x,(y * z) \ u,w). [back_rewrite(3327152),rewrite([4658735(6),1952364(6)])]. 4659032 a(x,y \ (z * (u \ 1)),w * a(u,u,z)) = a(x,y \ (u \ z),w). [back_rewrite(2015807),rewrite([4658735(7)])]. 4659044 a(x,y \ z,u * a(w,w,z)) = a(x,y \ L(z,w,w),u). [back_rewrite(1627982),rewrite([4658735(4)])]. 4659088 a(x,y * (z \ u),a(u,w,w) * v5) = a(x,(z \ L(u,w,w)) * y,v5). [back_rewrite(4588302),rewrite([4658843(5)])]. 4661643 (a(x,y,z) * ((a(x,y,z) \ u) / w)) \ u = L(w,y,a(x,u,z)). [hyper(152,a,27660,a,b,4511731,a),rewrite([97527(4),1432159(5),4646008(3),9238(3),5242(2)]),flip(a)]. 4661650 L(x,y,a(z,x * u,w)) = L(x,y,a(w,u,z)). [hyper(152,a,8748,a,b,4511731,a),rewrite([97527(4),1627576(4),1554799(3),4661643(9)])]. 4662646 x \ (y * (z * a(u,u,w))) = (x \ (y * z)) * a(u,u,w). [hyper(6259,a,4573738,a,b,24,a),rewrite([503(5),4500420(8)])]. 4662674 x / (y * (z * a(u,u,w))) = a(u,u,w) \ (x / (y * z)). [hyper(1832,a,4573738,a,b,492,a),rewrite([4568679(4)]),flip(a)]. 4662873 x * (y / T(z * a(u,u,w),v5)) = x * (a(u,u,w) \ (y / T(z,v5))). [hyper(1466,a,4573738,a,b,12217,a),rewrite([4576705(4),4500574(11),4572182(11),3157(7),682(6),7261(5)]),flip(a)]. 4662875 x \ (y * (a(z,z,u) * w)) = (x \ (y * w)) * a(z,z,u). [hyper(1466,a,4573738,a,b,10493,a),rewrite([4516283(4),4500574(11),4662873(11),3157(9),62427(8),5264(5),502(6),4516283(5),22(8),4662646(8)])]. 4662881 x / (y * (a(z,z,u) * w)) = a(z,z,u) \ (x / (y * w)). [hyper(1466,a,4573738,a,b,7426,a),rewrite([4516283(4),5286(12),682(11),489627(12),4568679(10),4500574(9),23(8),21(8),407385(6),4516283(3),4662674(8)])]. 4662885 (x * (y * a(z,z,u))) / w = a(z,z,u) * ((x * y) / w). [hyper(1466,a,4573738,a,b,24,a),rewrite([4500574(4)]),flip(a)]. 4662999 L(x,y,z) * a(u,u,w) = L(x * a(u,u,w),y,z). [hyper(1465,a,4573738,a,b,9362,a),rewrite([4648686(3),4500420(5),4515256(3),9236(2)])]. 4663205 a(x,y,z \ a(u,u,w)) = a(x,y,z \ 1). [hyper(1832,a,4573738,a(flip),b,13563,a(flip)),rewrite([4662999(6),4492590(5),4557585(6)])]. 4663332 a(x,y,z * a(u,u,w)) = a(x,y,z). [para(4573738(a,2),671(a,1,2,2)),rewrite([4662881(9),4662885(8),671(7),21(5)]),flip(a)]. 4663357 a(x,y,a(z,z,u) * w) = a(x,y,w). [para(4573738(a,2),815(a,1,3)),rewrite([807(5),4663332(6)])]. 4663368 a(x,y,z * (u * a(w,w,v5))) = a(x,y,z * u). [para(4573738(a,1),787(a,2,3)),rewrite([787(6),4663357(4)]),flip(a)]. 4663415 a(x,y,a(z,u,u) * w) = a(x,y,w). [para(4573738(a,2),2377(a,1,2)),rewrite([13187(5),4658718(3),4658735(6),4663332(6)])]. 4663706 a(x,y,z * L(u * a(w,w,v5),v6,v7)) = a(x,y,z * L(u,v6,v7)). [para(4573738(a,2),4984(a,1,3)),rewrite([5005(5),4663357(5),4662999(6)]),flip(a)]. 4663771 a(x,y,z * (a(u,w,w) * v5)) = a(x,y,z * v5). [para(4573738(a,1),8195(a,1,3)),rewrite([4663368(4),4515777(5)]),flip(a)]. 4664191 a(x,y,z \ (u * L(w,v5,v5))) = a(x,y,z \ (w * u)). [back_rewrite(3008361),rewrite([4662875(4),4663332(5)]),flip(a)]. 4664468 a(x,y,z \ L(u,w,w)) = a(x,y,z \ u). [back_rewrite(4557282),rewrite([4663205(4),4492788(4)]),flip(a)]. 4664469 a(x,y,L(z,z,u) * w) = a(x,y,z * w). [back_rewrite(4556173),rewrite([4663205(7),4492788(7),4509096(5)])]. 4664649 a(x,y \ L(z,u,u),w) = a(x,y \ z,w). [back_rewrite(4659044),rewrite([4663332(4)]),flip(a)]. 4664660 a(x,y \ (z * (u \ 1)),w) = a(x,y \ (u \ z),w). [back_rewrite(4659032),rewrite([4663332(7)])]. 4664693 a(x,((y \ 1) \ z) \ u,w) = a(x,(y * z) \ u,w). [back_rewrite(4658992),rewrite([4663332(7)])]. 4664720 a(x,L(y \ 1,y,z) \ u,w) = a(x,(y \ 1) \ u,w). [back_rewrite(4658956),rewrite([4663332(7)])]. 4664824 a(x,y,z * (u * L(w,v5,v5))) = a(x,y,(u * w) * z). [back_rewrite(4590328),rewrite([4663357(5)]),flip(a)]. 4664826 a(x,y,z * (x \ a(u,u,w))) = a(x,y,x \ z). [back_rewrite(4590111),rewrite([4663357(6)])]. 4664827 a(x,y,L(z,u,u) * w) = a(x,y,w * z). [back_rewrite(4583556),rewrite([4663357(6),4492776(4)]),flip(a)]. 4664839 a(x,y,z \ (u \ L(w,v5,v5))) = a(x,y,z \ (u \ w)). [back_rewrite(4573804),rewrite([4663357(5)]),flip(a)]. 4664919 a(x,y \ ((z \ 1) * u),w) = a(x,y \ (z \ u),w). [back_rewrite(4658905),rewrite([4663415(7)])]. 4664951 a(x,y \ (z * L(u,u,w)),v5) = a(x,y \ (z * u),v5). [back_rewrite(4658714),rewrite([4663415(5)]),flip(a)]. 4664966 a(x,(y \ L(z,u,u)) * w,v5) = a(x,w * (y \ z),v5). [back_rewrite(4659088),rewrite([4663415(5)]),flip(a)]. 4664993 a(x,y * L(z,u,u),w) = a(x,z * y,w). [back_rewrite(4658883),rewrite([4663415(5)])]. 4665036 a(x,y,z * (u \ (w \ u))) = a(x,y,w \ z). [back_rewrite(4576271),rewrite([4663415(8),4555868(6)])]. 4665040 a(x,y,(z * (u \ 1)) \ w) = a(x,y,(u \ z) \ w). [back_rewrite(4063351),rewrite([4663415(7)])]. 4665168 a(x,y,z * L(u,x,x)) = a(x,y,z * u). [back_rewrite(1950734),rewrite([4663706(5)])]. 4665181 a(x,y,x * (L(z,u,u) \ w)) = a(x,y,x * (z \ w)). [back_rewrite(4586810),rewrite([4663771(6)])]. 4665187 a(x,y,(z * L(u,u,w)) * v5) = a(x,y,v5 * (z * u)). [back_rewrite(1872772),rewrite([4663771(5)]),flip(a)]. 4665281 a(x,y,((z \ 1) * u) * w) = a(x,y,w * (z \ u)). [back_rewrite(4584320),rewrite([4664191(5),4509369(4)])]. 4665286 a(x,y,z \ ((u \ 1) \ w)) = a(x,y,z \ (w * u)). [back_rewrite(13520),rewrite([4664191(4)]),flip(a)]. 4665500 a(x,y,z \ (x * (z * u))) = a(x,y,x * u). [back_rewrite(4513874),rewrite([4664468(5),1718287(4)])]. 4665615 a(x,y,L(z,u,x) * u) = a(x,y,u * z). [back_rewrite(4555907),rewrite([4664469(6)])]. 4665646 a(x,y,((z \ 1) \ u) * w) = a(x,y,(z * u) * w). [back_rewrite(1876452),rewrite([4664469(5),8581(4)]),flip(a)]. 4665815 a(x,(y \ (z * z)) \ u,w) = a(x,u * ((z * z) \ y),w). [back_rewrite(2516095),rewrite([4664649(5)])]. 4665872 a(x,L(y,z,z),u) = a(x,y,u). [back_rewrite(3987920),rewrite([4664660(9),3987833(7)])]. 4665882 a(x,y \ ((z * z) \ u),w) = a(x,y \ (z \ (z \ u)),w). [back_rewrite(2916426),rewrite([4664660(8),3565581(6)])]. 4666002 a(x,((y * z) * z) \ u,w) = a(x,y \ (z \ (z \ u)),w). [back_rewrite(2187586),rewrite([4664693(8),313802(5),4664919(6)]),flip(a)]. 4666098 a(x,(y * L(y,y,z)) * u,w) = a(x,(y * y) * u,w). [back_rewrite(2676301),rewrite([4664720(6),1093060(5)]),flip(a)]. 4666122 a(x,(y \ 1) \ z,u) = a(x,y * z,u). [back_rewrite(4330229),rewrite([4665872(8),11306(7),2129(3),774(4),2309(4),97546(4)])]. 4666201 a(x,y,z * ((u \ 1) \ w)) = a(x,y,(u * w) * z). [back_rewrite(1628192),rewrite([4664824(4)]),flip(a)]. 4666205 a(x,y,x \ (z * u)) = a(x,y,(x \ z) * u). [back_rewrite(4592949),rewrite([4664826(5)])]. 4666226 a(x,y,z * ((u * u) \ w)) = a(x,y,z * (u \ (u \ w))). [back_rewrite(3464079),rewrite([4664827(5)])]. 4666293 a(x,y,z \ ((u * u) \ w)) = a(x,y,z \ (u \ (u \ w))). [back_rewrite(2505167),rewrite([4664839(5)])]. 4666545 L(x,a(y,z \ (u \ w),v5),v6) = L(x,a(y,z \ (u * w),v5),v6). [back_rewrite(2015746),rewrite([4664919(5)])]. 4666547 a(x,a(y,z \ (u \ w),v5),v6) = a(x,a(y,z \ (u * w),v5),v6). [back_rewrite(2015647),rewrite([4664919(5)])]. 4666661 a(x,(y * y) * z,u) = a(x,y * (z * y),u). [back_rewrite(1972085),rewrite([4664951(6),4666122(5),4666098(7)]),flip(a)]. 4666670 a(x,(y * (z \ 1)) * u,w) = a(x,u * (z \ y),w). [back_rewrite(1997008),rewrite([4664966(4)]),flip(a)]. 4666721 a(x,((y \ 1) \ z) * u,w) = a(x,(z * y) * u,w). [back_rewrite(3446105),rewrite([4664993(5),528194(4),528195(4)]),flip(a)]. 4666831 a(x,y,(z \ u) \ w) = a(x,y,w * (u \ z)). [back_rewrite(4555542),rewrite([4665036(7),4492776(5)]),flip(a)]. 4666923 a(x,y,(x * z) * u) = a(x,y,x * (z * u)). [back_rewrite(2066544),rewrite([4666831(5),787(5),4665500(8)])]. 4666961 a(x,y,z \ (x * u)) = a(x,y,x * (z \ u)). [back_rewrite(4585988),rewrite([4665040(5),8858(3)])]. 4667040 a(x,y,z * (u \ (w \ 1))) = a(x,y,(u * w) \ z). [back_rewrite(2817024),rewrite([4665040(8),4666831(6),1538409(6)])]. 4667095 a(x,y,(z * x) * u) = a(x,y,x * (z * u)). [back_rewrite(2126131),rewrite([4665168(4),4665646(8),4666923(6)])]. 4667112 a(x,y,x * (z \ (x \ u))) = a(x,y,z \ u). [back_rewrite(4513529),rewrite([4665181(5)])]. 4667116 a(x,y,(L(z,z,u) * w) * v5) = a(x,y,v5 * (w * z)). [back_rewrite(3470310),rewrite([4665187(5)]),flip(a)]. 4667155 a(x,y,(z * (u * z)) \ w) = a(x,y,u \ (z \ (z \ w))). [back_rewrite(1828364),rewrite([4666831(6),4667040(6),535333(4),4666293(8)])]. 4667422 a(x,y,(z \ x) * u) = a(x,y,x * (z \ u)). [back_rewrite(4594759),rewrite([4665286(5),4666961(3)]),flip(a)]. 4667789 a(x,y,(x \ z) * u) = a(x,y,z * (x \ u)). [back_rewrite(4555823),rewrite([4665615(4),4666205(6)]),flip(a)]. 4667805 a(x,y,(y * z) * x) = a(x,y,y * (z * x)). [back_rewrite(4164298),rewrite([4665646(5)])]. 4667806 a(x,y,y * (z * x)) = a(x,y,x * (y * z)). [back_rewrite(4052434),rewrite([4667422(5),4666201(5),4667805(3),4667095(6)])]. 4668075 a(x,y \ z,a(u,w,v5)) = a(x,y * z,a(u,w,v5)). [back_rewrite(2994779),rewrite([4665815(4),1906788(5)]),flip(a)]. 4668721 a(x,y * (z * y),a(u,w,v5)) = a(v5,w,a(x,z,u)). [back_rewrite(1906791),rewrite([4665872(6)])]. 4668789 a(x,y,a(z,u \ (w \ (w \ v5)),v6)) = a(x,y,a(z,u \ v5,v6)). [back_rewrite(2536887),rewrite([4665882(4)])]. 4669062 a(x,((y * z) * y) \ u,w) = a(x,z \ (y \ (y \ u)),w). [back_rewrite(192224),rewrite([4666002(4)]),flip(a)]. 4669727 a(x,a(y,z,u),w * (v5 \ (v5 \ v6))) = a(w * v6,a(u,z,y),x). [back_rewrite(773468),rewrite([4666226(5)])]. 4670217 a(x,y,a(z,u,w \ (v5 \ (v5 \ v6)))) = a(x,y,a(z,u,w \ v6)). [back_rewrite(1406879),rewrite([4666293(4)])]. 4670220 a(x,a(y,z,u),w \ (v5 \ (v5 \ v6))) = a(x,a(y,z,u),w \ v6). [back_rewrite(1320573),rewrite([4666293(5)])]. 4670973 a(x,((y * z) * y) * u,w) = a(x,y * ((z * u) * y),w). [back_rewrite(1440869),rewrite([4666721(6),4666661(8)])]. 4671109 L(x,y,a(z,u \ w,v5)) = L(x,y,a(z,w * u,v5)). [back_rewrite(4657897),rewrite([4666670(5),4656795(4)])]. 4671133 a(x,y * (z \ u),a(w,v5,v6)) = a(x,y * (u * z),a(w,v5,v6)). [back_rewrite(1874509),rewrite([4666670(6)])]. 4672181 a(x,y,(z / u) \ w) = a(x,y,w * (z \ u)). [back_rewrite(910),rewrite([4666831(6)])]. 4672944 a(x,y,(L(z,z \ 1,u) * w) * v5) = a(x,y,v5 * (w * z)). [back_rewrite(1614580),rewrite([4667116(10)])]. 4672972 a(x,y,((z * u) * z) \ w) = a(x,y,u \ (z \ (z \ w))). [back_rewrite(535333),rewrite([4667155(8)])]. 4673076 L(x,a(y,z,y * (u \ w)),v5) = L(x,a(y,z,y * (w * u)),v5). [back_rewrite(3919879),rewrite([4667422(3)])]. 4673090 a(x,y,a(z,u,z * (w \ v5))) = a(x,y,a(z,u,z * (v5 * w))). [back_rewrite(2244402),rewrite([4667422(3)])]. 4675394 a(x,y,a(z * (x * y),u,w)) = a(w,u,a(x,y,x * (z * y))). [back_rewrite(4617195),rewrite([4673090(8)])]. 4675399 L(x,y,a(z * (x * u),u,w)) * a(w,y,a(x,u,x * (z * u))) = x. [back_rewrite(4527989),rewrite([4673090(8)])]. 4675431 a(x,y,a(y * (x * z),u,w)) = a(w,u,a(x,y,x * (z * y))). [back_rewrite(3934390),rewrite([4673090(8)])]. 4681629 a(x,y,a(y * (x * z),u,w)) = a(y,x,a(z,u,w)). [para(255429(a,1),4613527(a,2,1)),rewrite([4613809(9),4623358(9),4613527(9),4613809(8),20(6),4613809(6),1283013(6),8982(6),4492682(5),4613809(5)]),flip(a)]. 4683067 a(x,y,a(z,u,z * (w * u))) = a(u,z,a(w,y,x)). [back_rewrite(4675431),rewrite([4681629(4)]),flip(a)]. 4683114 L(x,y,a(z * (x * u),u,w)) * a(u,x,a(z,y,w)) = x. [back_rewrite(4675399),rewrite([4683067(8)])]. 4683117 a(x,y,a(z * (x * y),u,w)) = a(y,x,a(z,u,w)). [back_rewrite(4675394),rewrite([4683067(8)])]. 4683136 a(x,y,a(z,u,u * (z * w))) = a(u,z,a(w,y,x)). [back_rewrite(4640714),rewrite([4683067(8)])]. 4683156 a(x,y,a(z * y,u,w * x)) = a(y,x,a(w,u,z)). [back_rewrite(4645497),rewrite([4683117(4)]),flip(a)]. 4683176 a(x,y,a(z,u,z * (u * w))) = a(u,z,a(w,y,x)). [back_rewrite(4013865),rewrite([4683136(4)]),flip(a)]. 4683181 a(x,y,a(z,u,w * (u \ z))) = a(u,z,a(w,y,x)). [back_rewrite(4013750),rewrite([4683136(8)])]. 4683193 a(x * y,z,a(y * z,u,w)) = a(z,y,a(x,u,w)). [back_rewrite(4645496),rewrite([4683156(8)])]. 4684823 a(x,y,z) * ((a(x,y,z) \ u) * (u \ w)) = L(w,u,a(u * x,y,z)). [para(4493305(a,1),10007(a,1,1,2)),rewrite([4666831(8),373(6),840897(6),8982(5),1292570(5),13597(4),4646075(4),1390887(12)]),flip(a)]. 4685462 L(x,y,z * ((u \ w) * v5)) = L(x,y,z * ((u * w) * v5)). [para(5820(a,2),4628722(a,1,3,2,1)),rewrite([5876(3),3262(2),9635(7),622087(6),1215600(6),284387(9)]),flip(a)]. 4685864 L(x,y,a(z * u,z,w)) = L(x,y,a(u,z,z * w)). [back_rewrite(4638567),rewrite([4685462(6),4629111(6)])]. 4696413 L(x,y * (z * (u \ (w \ u))),v5) = L(x,(w \ z) * y,v5). [para(7857(a,1),4649183(a,1,2,1,1)),rewrite([4493448(5),4563905(7),4649178(6),7681(8)]),flip(a)]. 4696656 L(x,y * (z \ (u \ (w \ u))),v5) = L(x,(z * w) \ y,v5). [para(588405(a,1),4649183(a,2,2,2)),rewrite([4652751(11),4652807(7),1763763(5),99625(13),7681(12),4696413(12),4649044(10)])]. 4696882 L(x,(y * (z \ u)) \ w,v5) = L(x,w * (y \ (u \ z)),v5). [back_rewrite(1956493),rewrite([4696656(6),12300(4)])]. 4697422 L(x,(y \ (z * u)) * (z \ (u \ y)),w) = L(x,a(y,y * u,z),w). [back_rewrite(1877931),rewrite([4696882(6)])]. 4697435 L(x,((y \ z) * u) \ w,v5) = L(x,(u \ (z \ y)) * w,v5). [back_rewrite(1305197),rewrite([4696882(6),2207500(6)]),flip(a)]. 4697642 L(x,((y / z) * u) \ w,v5) = L(x,(u \ (y \ z)) * w,v5). [back_rewrite(10095),rewrite([4697435(8)])]. 4699758 L(x,(y \ (z \ (u \ 1))) * w,v5) = L(x,((u * z) * y) \ w,v5). [para(9534(a,1),4649044(a,2,2,1)),rewrite([4576249(6),4516172(7),10386(8),4648224(8),4649044(6),4697435(10),1763789(10)]),flip(a)]. 4699795 L(x,y * (z \ (u \ (w \ 1))),v5) = L(x,((w * u) * z) \ y,v5). [para(12349(a,2),4649044(a,1,2,1,2)),rewrite([129033(8),4697435(14),373(11),4699758(12)])]. 4699920 L(x,(((y \ 1) * z) * u) \ w,v5) = L(x,w * (u \ (z \ y)),v5). [para(2840385(a,2),4649044(a,1,2,1,2)),rewrite([707(8),859(5),4652751(9),4697642(5),443779(5),4697642(13),443779(13),4699795(12)]),flip(a)]. 4701052 a(x,a(y,z,u),w \ v5) = a(x,a(y,z,u),w * v5). [hyper(1465,a,4669062,a,b,8764,a),rewrite([4492682(4),4613809(4),22(2),4668075(8),4670973(8),4668721(8),13597(7),1943304(7),4670220(8)]),flip(a)]. 4701071 a(x,y,a(z,u \ w,v5)) = a(x,y,a(z,u * w,v5)). [hyper(507,a,8811,a(flip),b,4669062,a),rewrite([4668789(5),4668075(8),4670973(8),4668721(8)])]. 4701085 a(x,y,a(z,u,w \ v5)) = a(x,y,a(z,u,w * v5)). [hyper(6259,a,4669062,a(flip),b,13358,a),rewrite([4672972(4),4670217(5),4672972(8),4701052(8),4669727(8),300(7),4672972(8),4701052(8),4669727(8),4668075(11),4671133(11),214905(11),8157(10),1874538(10)])]. 4701233 a(x,a(y,z \ u,w),v5) = a(x,a(y,z * u,w),v5). [para(4669062(a,1),8765(a,1,2)),rewrite([4668075(5),4670973(5),4668721(5),4668075(8),4671133(8),214905(8),1943332(7),4669062(7),4666547(8),22(5)]),flip(a)]. 4701234 a(x,a(y,z * (u \ (u \ w)),v5),v6) = a(v6,a(y,z * w,v5),x). [para(4669062(a,1),8765(a,2,2)),rewrite([4668075(5),4670973(5),4668721(5),4668075(8),4670973(8),4668721(8),1905322(7),4701233(8)]),flip(a)]. 4701356 L(x,a(y,z \ u,w),v5) = L(x,a(y,z * u,w),v5). [para(4669062(a,1),761349(a,1,1,2)),rewrite([4701233(5),4701234(5),9235(4),5238(3),4669062(7),4666545(8),22(5)]),flip(a)]. 4701799 a(x,y,a(z,u,(w * x) * v5)) = a(x,y,a(z,u,w * (x \ v5))). [back_rewrite(1946532),rewrite([4701085(4),4701085(8)])]. 4702649 a(x,y,a(z * y,u,w)) = a(x,y,a(z,u,w * y)). [para(13714(a,1),4501904(a,1,1,1)),rewrite([13307(3),13714(10),27655(6),4631033(3),848(11),4622629(10),845(10),4634370(9),4645470(9),13597(8),20(8)])]. 4702876 a(x * y,z,a(y,u,w * z)) = a(z,y,a(x,u,w)). [back_rewrite(4683193),rewrite([4702649(4)])]. 4702953 a(x * y,x,a(z,u,w)) = a(y,x,a(w,u,z * x)). [back_rewrite(4631033),rewrite([4702649(6)])]. 4704919 a(x * y,z,a(u,x,w)) = a(y,x,a(w,z,x * u)). [para(4570447(a,2),10171(a,1,2,2,1)),rewrite([4570447(9),4684823(10),4556353(5),19(3),8947(4),97527(12),528634(12),8982(10),4492682(9),20(5),4701085(8),771336(8),13597(8),20(8)]),flip(a)]. 4704920 a(x,y,a(y * z,u,w)) = a(x,y,a(z,u,y * w)). [para(4570447(a,2),10171(a,2,1,2)),rewrite([4684823(10),4556353(5),19(3),8947(4),4570447(12),97527(12),528634(12),8982(10),4492682(9),20(5),4701085(8),771336(8),4704919(6),13597(8),20(8)]),flip(a)]. 4705025 L(x,y,a(y * z,u,w)) = L(x,y,a(z,u,y * w)). [back_rewrite(4646080),rewrite([4704919(3),9238(4),5242(3)]),flip(a)]. 4707657 L(x,((y * z) * u) \ (z * w),v5) = L(x,(z \ w) * (u \ (y \ z)),v5). [para(491943(a,1),4649113(a,2,2)),rewrite([4649176(12),4649100(10),4699920(8),443778(6)]),flip(a)]. 4707922 L(x,((y * z) * u) \ (w * y),v5) = L(x,(y \ w) * (u \ (z \ y)),v5). [back_rewrite(4288426),rewrite([4707657(10)])]. 4707926 L(x,a(y,y * z,u),w) = L(x,a(u,z,y),w). [back_rewrite(1305281),rewrite([4707922(6),4697422(6)])]. 4710868 L(x,y,a(z * u,u,w)) = L(x,y,a(z,u,u * w)). [para(13149(a,1),4578706(a,1,3)),rewrite([4613809(4),49930(4),5242(3),5645(6),5649(9),5728(10),4652425(13),13149(8),5242(6),4685864(6)])]. 4712122 a(x,y,a(z,u,u * (w * z))) = a(u,z,a(w,y,x)). [para(4667806(a,2),8080(a,1,3)),rewrite([1575462(8),4683181(8)])]. 4712129 a(x,y,a(z * x,u,y * w)) = a(y,x,a(z,u,w)). [para(4667806(a,2),8716(a,1,3)),rewrite([4712122(4),4621731(6),4704920(6)]),flip(a)]. 4712140 a(x,y,a(z,u,y * (w * x))) = a(y,x,a(w,u,z)). [para(4667806(a,1),8810(a,1,3)),rewrite([4683176(4)]),flip(a)]. 4712232 L(x,y,a(z,u,u * (w * z))) = L(x,y,a(w,z,u)). [para(4667806(a,2),8806(a,2,3)),rewrite([4621731(4),4704920(4),4712129(4),8806(3)]),flip(a)]. 4712383 L(x,a(y,z,y * (z * u)),w) = L(x,a(u,y,z),w). [para(4667806(a,1),9409(a,2,2)),rewrite([4702953(4),4702876(4),4712232(7),1877623(5)]),flip(a)]. 4745076 a(x,y,z * ((u \ (w \ u)) \ v5)) = a(x,y,z * (v5 * w)). [para(1202761(a,1),11515(a,1,3,1,2,1)),rewrite([2140894(6),802(8),4665281(7),3839(5),5313(11),940(11),851(10),802(13),4515621(12),4672944(11)])]. 4745278 a(x,y,z * ((u \ w) \ v5)) = a(x,y,z * (v5 * (w \ u))). [back_rewrite(2187633),rewrite([4745076(6),793(4)]),flip(a)]. 4749592 L(x,a(y * (z * u),w,z),v5) = L(x,a(z,w,z * (u * y)),v5). [para(6930(a,2),748800(a,1,2,3)),rewrite([814(5),785(3),4667422(3),4673076(4),3894(9),4673076(10),4510729(10),4615339(7),4618885(7)]),flip(a)]. 4749627 L(x,a(y,z,u \ w),v5) = L(x,a(y,z,u * w),v5). [para(12184(a,1),748800(a,2,2,3)),rewrite([7709(7),4666831(6),4745278(6),473863(6),8870(5),8789(5),1575295(5),4745278(4),22(2),8870(8),8789(8),4667112(7)]),flip(a)]. 4757789 a(x,a(y,z,u \ w),v5) = a(x,a(y,z,u * w),v5). [para(4492682(a,1),8763(a,1,2,3)),rewrite([4701085(3),8763(7)]),flip(a)]. 4770448 a(x,a(y,z,u * (w \ y)),v5) = a(x,a(y,z,u * (w * y)),v5). [para(4615228(a,1),8031(a,1,2)),rewrite([2244530(4)])]. 4770565 L(x,a(y,z,u * (w \ y)),v5) = L(x,a(y,z,u * (w * y)),v5). [para(4615228(a,1),8468(a,2,2)),rewrite([4621101(4),4770448(4),8468(5),1575421(8)]),flip(a)]. 4771159 L(x,a(y,z,(u * w) * y),v5) = L(x,a(y,z,w * (u * y)),v5). [back_rewrite(1575295),rewrite([4770565(8)])]. 4801537 a(x,y,a(z,u,w * (v5 \ v6))) = a(x,y,a(z,u,w * (v6 * v5))). [para(1364372(a,1),13045(a,2,3,3)),rewrite([4555188(3),4639287(3),4649872(7),4493069(7),8104(6),19(5),785(11),4492775(11),492(8),813(7),4672181(7)]),flip(a)]. 4801653 a(x,y,a(z,u,(w * x) * v5)) = a(x,y,a(z,u,w * (v5 * x))). [back_rewrite(4701799),rewrite([4801537(8)])]. 4813068 a(x,y,z) \ ((u / (w * x)) * (w * R(x,y,z))) = L(u,y,a(z,x,w)). [para(4492568(a,1),1122430(a,2,1,2)),rewrite([4645906(5),4801653(4),4712140(4),13597(3),9090(3),299(9)]),flip(a)]. 4917024 a(x,a(y,y * z,u),w) = a(x,a(y,z,u),w). [hyper(1465,a,4540754,a,b,8992,a),rewrite([4640773(3),8871(5),4640773(6),8870(5),8871(4),4540612(5),13597(5),1944244(5)]),flip(a)]. 4935619 L(x,y,a(z * y,u,w)) = L(x,y,a(z,u,y * w)). [para(61588(a,2),10835(a,2,3)),rewrite([4701071(4),4622040(4),4701085(3),10835(4),4705025(3),61588(8),4556353(7),4671109(7),4654727(7)]),flip(a)]. 4935679 L(x,a(y * z,y,u),w) = L(x,a(z,y,y * u),w). [para(61588(a,2),9409(a,1,3)),rewrite([4668075(4),4640777(4),4492682(2),4704920(3),61588(9),4556353(8),4671109(8),4654727(8),4935619(7),1877400(7),4749627(7),4701356(7),4707926(7)]),flip(a)]. 4935751 L(x,a(y,z,z * u),w) = L(x,a(u,z,z * y),w). [para(61588(a,2),761349(a,1,1,2)),rewrite([61588(5),4757789(4),4701233(4),4917024(4),761349(4),4749627(7),4701356(7),4707926(7),4935679(6)])]. 4936021 L(x,a(y * z,u,u * y),w) = L(x,a(z,y * u,u),w). [para(24(a,1),4935751(a,1,2,3)),rewrite([818(2),4701356(3),785(7),4667789(7),818(7),4701356(8),4707926(8),4613809(6),4935679(7)]),flip(a)]. 4936038 L(x,a(y,z * u,u),w) = L(x,a(y,z,u),w). [para(2917(a,1),4935751(a,1,2,3)),rewrite([775(5),818(3),940(3),4701356(3),785(9),96015(9),818(8),940(8),4701356(8),4707926(8),4613809(6),4749592(7),4712383(7)])]. 4936161 L(x,a(y,z,z * L(u,w,z)),v5) = L(x,a(u,z,z * y),v5). [para(299317(a,2),4935751(a,1,2,3)),rewrite([299317(5),789(5),816(4),789(9),816(8),8870(7),4492689(7)])]. 4936227 L(x,a(y * z,u,u * y),w) = L(x,a(z,y,u),w). [back_rewrite(4936021),rewrite([4936038(7)])]. 5002751 (R(x,y,z) * u) * ((x * u) \ w) = u \ ((u * a(x,y,z)) * w). [para(18709(a,2),4507282(a,1,2,1)),rewrite([18709(8),5481(9),71509(9),29(2),4953(3),4623358(10),4618095(10),1883893(9)])]. 5003032 (x / (y * z)) * (R(y,u,w) * z) = z \ ((z * a(y,u,w)) * x). [back_rewrite(4018403),rewrite([5002751(10)])]. 5003046 (x / (y * z)) * (y * R(z,u,w)) = y \ ((y * a(z,u,w)) * x). [back_rewrite(1909052),rewrite([5003032(5)]),flip(a)]. 5003049 L(x,a(y,z,u),w) = L(x,z,a(u,y,w)). [back_rewrite(4813068),rewrite([5003046(6),1034296(6)])]. 5003540 L(x,y,a(z,u,y * w)) = L(x,z,a(y,u,w)). [back_rewrite(4936227),rewrite([5003049(4),4705025(4),4626450(4),5003049(5)])]. 5003582 L(x,y,a(z,u,u * w)) = L(x,y,a(u,z,w)). [back_rewrite(4936161),rewrite([5003049(4),4705025(4),8870(3),4540603(4),5003049(6),4705025(6),5003540(6)])]. 5006041 L(x,y,a(z * (u * w),w,v5)) = L(x,y,a(w,u * z,v5)). [back_rewrite(4771159),rewrite([5003049(4),4710868(4),5003582(4),5003049(7)]),flip(a)]. 5008512 L(x,y,a(z,u,w)) * a(w,x,a(u,y,z)) = L(x,y,a(w,z,u)). [back_rewrite(4589871),rewrite([5003049(7)])]. 5013746 L(x,y,a(z,u,w)) != x | a(w,a(z,y,u),x) = 1. [back_rewrite(748692),rewrite([5003049(2)])]. 5014065 a(x,a(y,z,u),w) = a(x,z,a(w,y,u)). [back_rewrite(8108),rewrite([5003049(2),8947(3)]),flip(a)]. 5014473 L(x,y,a(z,u,w)) = x. [back_rewrite(4683114),rewrite([5006041(4),4661650(3),5008512(5)])]. 5014492 a(x,y,a(z,u,w)) = 1. [back_rewrite(5013746),rewrite([5014473(2),5014065(3)]),xx(a)]. 5014493 $F. [resolve(5014492,a,772193,a)]. ============================== end of proof ==========================