============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 2968.37 (+ 34.54) seconds. % Length of proof is 14609. % Level of proof is 261. % Maximum clause weight is 1029.000 (51 w/o degradation). % Given clauses 4966 (19.027 givens/level). 1 a(a(x,y,z),u,w) = 1 # label("aa1") # label(non_clause) # label(goal). [goal]. 4 (x * x) * (y * z) = ((x * x) * y) * z # label("NucSq_l"). [assumption]. 5 ((x * x) * y) * z = (x * x) * (y * z). [copy(4),flip(a)]. 6 (x * (y * y)) * z = x * ((y * y) * z) # label("NucSq_m"). [assumption]. 7 (x * y) * (z * z) = x * (y * (z * z)) # label("NucSq_r"). [assumption]. 8 a(K(x,y),z,u) = 1 # label("aK1"). [assumption]. 9 a(x,K(y,z),u) = 1 # label("aK2"). [assumption]. 10 a(x,y,K(z,u)) = 1 # label("aK3"). [assumption]. 11 K(a(x,y,z),u) = 1 # label("Ka"). [assumption]. 12 K(x,K(y,K(z,u))) = 1 # label("nil3 1, KK-C"). [assumption]. 14 K(a(K(x,y),z,u),w) = 1 # label("nil3 3, aK1-C"). [assumption]. 15 K(1,x) = 1. [copy(14),rewrite([8(2)])]. 31 a(x,a(K(y,z),u,w),v5) = 1 # label("nil3 18, aK1-Nm"). [assumption]. 32 a(x,1,y) = 1. [copy(31),rewrite([8(2)])]. 35 a(x,y,a(K(z,u),w,v5)) = 1 # label("nil3 21, aK1-Nr"). [assumption]. 36 a(x,y,1) = 1. [copy(35),rewrite([8(2)])]. 39 a(a(a(x,y,z),u,w),v5,v6) = 1 # label("nil3 24, aa1-Nl"). [assumption]. 40 a(a(x,a(y,z,u),w),v5,v6) = 1 # label("nil3 25, aa2-Nl"). [assumption]. 41 a(a(x,y,a(z,u,w)),v5,v6) = 1 # label("nil3 26, aa3-Nl"). [assumption]. 42 a(x,a(a(y,z,u),w,v5),v6) = 1 # label("nil3 27, aa1-Nm"). [assumption]. 43 a(x,a(y,a(z,u,w),v5),v6) = 1 # label("nil3 28, aa2-Nm"). [assumption]. 44 a(x,a(y,z,a(u,w,v5)),v6) = 1 # label("nil3 29, aa3-Nm"). [assumption]. 45 a(x,y,a(a(z,u,w),v5,v6)) = 1 # label("nil3 30, aa1-Nr"). [assumption]. 46 a(x,y,a(z,a(u,w,v5),v6)) = 1 # label("nil3 31, aa2-Nr"). [assumption]. 47 a(x,y,a(z,u,a(w,v5,v6))) = 1 # label("nil3 32, aa3-Nr"). [assumption]. 48 1 * x = x. [assumption]. 49 x * 1 = x. [assumption]. 50 x \ (x * y) = y. [assumption]. 51 x * (x \ y) = y. [assumption]. 52 (x * y) / y = x. [assumption]. 53 (x / y) * y = x. [assumption]. 54 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 55 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 56 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 57 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 58 x \ (y * x) = T(y,x). [assumption]. 59 T(T(x,y),z) = T(T(x,z),y). [assumption]. 60 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 61 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 62 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 63 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(62),flip(a)]. 64 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 65 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 69 K(a(x,y,z),u) = K(x,a(u,y,z)) # label("Ka1_eq_Ka2 (1423)"). [assumption]. 70 K(x,a(y,z,u)) = 1. [copy(69),rewrite([11(2)]),flip(a)]. 71 K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y) # label("aKcom"). [assumption]. 72 a(x,y,z) * K(u,w) = K(u,w) * a(x,y,z). [copy(71),flip(a)]. 73 K(K(x,y),z) = K(x,K(y,z)) # label("Kassoc"). [assumption]. 74 K(x,K(y,z)) = K(y,K(x,z)) # label("KKcom_a"). [assumption]. 75 K(x,K(y,z)) = K(x,K(z,y)) # label("KKcom_b"). [assumption]. 76 K(x,y) * K(z,u) = K(z,u) * K(x,y) # label("KKcom_c"). [assumption]. 77 K(x,y) * K(y,x) = 1 # label("KxyKyx"). [assumption]. 79 K(x,y) = (x * y) / (y * x) # label("K-dual"). [assumption]. 80 (x * y) / (y * x) = K(x,y). [copy(79),flip(a)]. 81 K(x,y) = x \ T(x,y) # label("K_eq_T_a"). [assumption]. 82 x \ T(x,y) = K(x,y). [copy(81),flip(a)]. 83 K(x,y) = y / T(y,x) # label("K_eq_T_b"). [assumption]. 84 x / T(x,y) = K(y,x). [copy(83),flip(a)]. 85 K(T(x,y),T(z,y)) = K(x,z) # label("K_eq_T_c"). [assumption]. 86 K(x,K(y,z * z)) = 1 # label("Ksqmap"). [assumption]. 87 1 / (1 / T(x,y)) = T(1 / (1 / x),y) # label("T property"). [assumption]. 88 1 / (1 / L(x,y,z)) = L(1 / (1 / x),y,z) # label("L property"). [assumption]. 89 1 / (1 / R(x,y,z)) = R(1 / (1 / x),y,z) # label("R property"). [assumption]. 90 K(x \ 1,x) = K(T(x,y) \ 1,T(x,y)) # label("KinvT"). [assumption]. 91 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [copy(90),flip(a)]. 92 K(x \ 1,x) = K(L(x,y,z) \ 1,L(x,y,z)) # label("KinvL"). [assumption]. 93 K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,x). [copy(92),flip(a)]. 96 K(x,R(y,z,u)) = K(x,L(y,z,u)) # label("KRKL"). [assumption]. 97 T(x,L(y,z,u)) = T(x,R(y,z,u)) # label("TRTL"). [assumption]. 98 T(x,R(y,z,u)) = T(x,L(y,z,u)). [copy(97),flip(a)]. 99 R(K(x,y),z,u) = L(K(x,y),z,u) # label("RKLK 1"). [assumption]. 100 R(x,K(y,z),u) = L(x,K(y,z),u) # label("RKLK 2"). [assumption]. 101 R(x,y,K(z,u)) = L(x,y,K(z,u)) # label("RKLK 3"). [assumption]. 102 L(K(x,y),z,u) = K(x,L(y,z,u)) # label("LKKL"). [assumption]. 127 a(a(x,y,x),z,u) = 1 # label("aa1{x1/x3}"). [assumption]. 128 a(x,a(y,z,y),u) = 1 # label("aa2{x2/x4}"). [assumption]. 129 a(x,y,a(z,u,z)) = 1 # label("aa3{x3/x5}"). [assumption]. 130 a(x,a(y,z,u),x) = 1 # label("aa2{x1/x5}"). [assumption]. 147 (x * y) / x = y * K(x,y) # label("cb100_1"). [assumption]. 148 T(x,y) = x * K(x,y) # label("cb100_2"). [assumption]. 149 x * K(x,y) = T(x,y). [copy(148),flip(a)]. 150 T(T(x,y),K(z,y)) = T(x,T(y,z)) # label("cb100_3"). [assumption]. 152 K(x,K(y,z)) * y = T(y,K(x,z)) # label("cb100_5"). [assumption]. 153 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x) # label("cb100_6"). [assumption]. 154 1 / K(x,y) = K(y,x) # label("cb100_7"). [assumption]. 155 K(x,K(y,z)) * z = T(z,K(x,y)) # label("cb100_8"). [assumption]. 156 K(x,y) * K(x,K(y,z)) = T(K(x,y),z) # label("cb100_9"). [assumption]. 157 T(T(x,y),T(z,y)) = K(x,z) * T(x,y) # label("cb100_10"). [assumption]. 159 T(x,y) * T(y,x) = x * y # label("cb100_12"). [assumption]. 160 x / (x / y) = y * K(y \ x,y) # label("cb100_13"). [assumption]. 162 T(x,K(y,z) * u) = T(x,u * K(y,z)) # label("cb100_15"). [assumption]. 163 x = T(x,y) * K(y,x) # label("cb100_16"). [assumption]. 164 T(x,y) * K(y,x) = x. [copy(163),flip(a)]. 165 T(x / y,z) * y = y * T(y \ x,z) # label("cb100_17"). [assumption]. 166 K(L(x \ y,x,z),T(u,z * x)) = K((z * y) / (z * x),u) # label("cb100_18"). [assumption]. 168 K(x,y) * x = T(x,y) # label("cb100_20"). [assumption]. 169 K(L(x,y,z),u) = K(R(x,y,z),u) # label("cb100_21"). [assumption]. 170 K(R(x,y,z),u) = K(L(x,y,z),u). [copy(169),flip(a)]. 171 K((x * y) / x,z) = K(y,T(z,x)) # label("cb100_22"). [assumption]. 172 K(L((x / y) / z,z,y),u) = K(x / (z * y),u) # label("cb100_23"). [assumption]. 173 K(x * K(y,x),z) = K(x,T(z,y)) # label("cb100_24"). [assumption]. 174 T(x,y) / y = x / T(y,x) # label("cb100_25"). [assumption]. 175 T(x,K(y,z)) * K(z,y) = K(z,y) * x # label("cb100_26"). [assumption]. 176 (x * K(y,x)) * y = y * x # label("cb100_27"). [assumption]. 177 K(x / y,T(z,y)) = K(y \ x,z) # label("cb100_28"). [assumption]. 178 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y) # label("cb100_29"). [assumption]. 179 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u) # label("cb100_30"). [assumption]. 180 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y) # label("cb100_31"). [assumption]. 181 K(x * y,T(z,y)) = K(y * x,z) # label("cb100_32"). [assumption]. 182 T(T(x,y),T(z,x)) = T(T(x,z),y) # label("cb100_33"). [assumption]. 183 K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5) # label("cb100_34"). [assumption]. 184 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u) # label("cb100_35"). [assumption]. 185 T(x,T(y,z)) = T(x,y * K(z,y)) # label("cb100_36"). [assumption]. 186 T(x,y * K(z,y)) = T(x,T(y,z)). [copy(185),flip(a)]. 187 T(x,y) * K(x,z) = T(T(x,y),T(z,y)) # label("cb100_37"). [assumption]. 188 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [copy(187),flip(a)]. 189 T(T(x * K(y,x),z),y) = T(x,z) # label("cb100_38"). [assumption]. 191 R(x,y,x) = T(x,y) * K(x * y,x) # label("cb100_40"). [assumption]. 192 T(x,y) * K(x * y,x) = R(x,y,x). [copy(191),flip(a)]. 193 x \ T(y,x) = T(x,y) \ y # label("cb100_41"). [assumption]. 194 T(x,y) \ y = x \ T(y,x). [copy(193),flip(a)]. 195 T(x,y) = T(x,T(y,x)) # label("cb100_42"). [assumption]. 196 T(x,T(y,x)) = T(x,y). [copy(195),flip(a)]. 197 x * K(y,y \ x) = y * (x / y) # label("cb100_43"). [assumption]. 198 K(x,y) / y = 1 / T(y,x) # label("cb100_44"). [assumption]. 199 K(x,K(y,z)) * K(z,x) = T(K(z,x),y) # label("cb100_45"). [assumption]. 200 T(x,y) * (x \ z) = x \ (T(x,y) * z) # label("cb100_46"). [assumption]. 201 x \ (T(x,y) * z) = T(x,y) * (x \ z). [copy(200),flip(a)]. 202 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5) # label("cb100_47"). [assumption]. 203 T(x,y) * y = x * ((x * y) / x) # label("cb100_48"). [assumption]. 204 (x * y) / T(T(x,y),y) = T(y,x) # label("cb100_49"). [assumption]. 205 K(x,K(y,K(z,u)) * w) = K(x,w) # label("cb100_50"). [assumption]. 206 K(x,y) * (K(y,x) * z) = L(z,K(y,x),K(x,y)) # label("cb100_51"). [assumption]. 207 L(x / y,z,u) * y = y * L(y \ x,z,u) # label("cb100_52"). [assumption]. 208 x / T(y,x / y) = y \ x # label("cb100_53"). [assumption]. 209 T(x,y) * y = x * (y * K(x,y)) # label("cb100_54"). [assumption]. 210 x * (y * K(x,y)) = T(x,y) * y. [copy(209),flip(a)]. 211 K(x,K(y,z)) * K(y,x) = T(K(y,x),z) # label("cb100_55"). [assumption]. 212 K(x * (y * K(z,K(u,w))),v5) = K(x * y,v5) # label("cb100_56"). [assumption]. 213 T(x,K(y,K(z,u)) * w) = T(x,w) # label("cb100_57"). [assumption]. 214 x / (x / y) = y * K(x / y,y) # label("cb100_58"). [assumption]. 215 x * K(x / y,y) = (y \ x) * y # label("cb100_59"). [assumption]. 216 x \ K(x,y) = (x * K(y,x)) \ 1 # label("cb100_60"). [assumption]. 217 (x * K(y,x)) \ 1 = x \ K(x,y). [copy(216),flip(a)]. 218 x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z) # label("cb100_61"). [assumption]. 219 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [copy(218),flip(a)]. 220 T(x,T(y,z) * z) = T(x,z * y) # label("cb100_62"). [assumption]. 221 (x * T(x \ y,z)) / y = K(1 / (x / y),z) # label("cb100_63"). [assumption]. 222 T(T(x,y),K(y,z)) = x * T(K(x,y),z) # label("cb100_64"). [assumption]. 223 (x * T(y,z)) / x = T((x * y) / x,z) # label("cb100_65"). [assumption]. 224 T(x,y) \ (y * K(x,y)) = x \ y # label("cb100_66"). [assumption]. 225 T(x,y) \ 1 = x \ K(y,x) # label("cb100_67"). [assumption]. 226 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)) # label("cb100_68"). [assumption]. 227 T(x,K(y,z)) * K(y,z) = K(y,z) * x # label("cb100_69"). [assumption]. 229 K(x,T(y,z) * z) = K(x,z * y) # label("cb100_71"). [assumption]. 230 T(x,y * (K(z,K(u,w)) * v5)) = T(x,y * v5) # label("cb100_72"). [assumption]. 231 K(x,y * z) = K(x,y * (z * K(u,K(w,v5)))) # label("cb100_73"). [assumption]. 232 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [copy(231),flip(a)]. 234 x = T(x * K(y,x),y) # label("cb100_75"). [assumption]. 235 T(x * K(y,x),y) = x. [copy(234),flip(a)]. 236 x * T(x \ y,z) = y * K((y \ x) \ 1,z) # label("cb100_76"). [assumption]. 237 K(x,x \ y) = K(x,y / x) # label("cb100_77"). [assumption]. 238 K(x,y / x) = K(x,x \ y). [copy(237),flip(a)]. 239 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y) # label("cb100_78"). [assumption]. 240 x * (T(x,y) * z) = T(x,y) * (x * z) # label("cb100_79"). [assumption]. 241 T(x,y) * (x * z) = x * (T(x,y) * z). [copy(240),flip(a)]. 242 K(x / y,T(z,x)) = K(y \ x,z) # label("cb100_80"). [assumption]. 243 K(x,y) * (y * x) = x * y # label("cb100_81"). [assumption]. 244 T(x,T(y,z)) = T(x,T(T(y,x),z)) # label("cb100_82"). [assumption]. 245 T(x,T(T(y,x),z)) = T(x,T(y,z)). [copy(244),flip(a)]. 246 T(x / y,T(y,x)) = y \ x # label("cb100_83"). [assumption]. 247 T(x,y) \ (y * x) = T(T(y,x),x) # label("cb100_84"). [assumption]. 248 ((x * y) / x) \ T(x,y) = y \ x # label("cb100_85"). [assumption]. 249 K(K(x,y) * z,u) = K(z * K(y,x),u) # label("cb100_86"). [assumption]. 250 T(x * y,K(y,z)) = y * T(x,T(y,z)) # label("cb100_87"). [assumption]. 251 x * T(y,T(x,z)) = T(y * x,K(x,z)). [copy(250),flip(a)]. 252 ((x * y) * z) / R(x,y,z) = (y * z) * K(L(x,y,z),y * z) # label("cb100_88"). [assumption]. 253 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)) # label("cb100_89"). [assumption]. 254 K(x,K(y,z)) * K(x,z) = T(K(x,z),y) # label("cb100_90"). [assumption]. 255 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)) # label("cb100_91"). [assumption]. 256 (x * y) / ((x * y) / x) = x * K(y,x) # label("cb100_92"). [assumption]. 257 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)) # label("cb100_93"). [assumption]. 258 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)) # label("cb100_94"). [assumption]. 259 K(x,y * (z * u)) = K(x,y * (z * (u * K(w,K(v5,v6))))) # label("cb100_95"). [assumption]. 260 K(x,y * (z * (u * K(w,K(v5,v6))))) = K(x,y * (z * u)). [copy(259),flip(a)]. 261 K(x,K(y,z) * u) = K(x,K(z,y) * u) # label("cb100_96"). [assumption]. 262 T(x,T(y * z,z)) = T(x,z * y) # label("cb100_97"). [assumption]. 263 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)) # label("cb100_98"). [assumption]. 264 K(x,K(y,z) * u) = K(x,u * K(y,z)) # label("cb100_99"). [assumption]. 265 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y # label("cb100_100"). [assumption]. 266 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 267 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 268 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 269 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 270 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 271 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 272 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 273 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 275 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 276 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 277 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 278 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 279 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 280 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 281 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 282 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 284 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [assumption]. 285 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [assumption]. 286 T(x,y) != x | T(y,x) = y # label("Compat 3"). [assumption]. 289 x != y | x * z = y * z # label("Aux 1"). [assumption]. 290 x != y | z * x = z * y # label("Aux 2"). [assumption]. 291 x != y | x / z = y / z # label("Aux 3"). [assumption]. 292 x != y | z / x = z / y # label("Aux 4"). [assumption]. 293 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 294 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 295 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 296 a(a(c1,c2,c3),c4,c5) != 1 # label("aa1"). [deny(1)]. 300 R(K(x,y),z,u) = K(x,L(y,z,u)). [back_rewrite(99),rewrite([102(4)])]. 315 (x * (y * (z * z))) * u = (x * y) * ((z * z) * u). [para(7(a,1),6(a,1,1))]. 319 K(x,1) = 1. [para(11(a,1),12(a,1,2))]. 320 L(x,y,z * z) = x. [para(5(a,1),50(a,1,2)),rewrite([56(6)])]. 321 L(x,y * y,z) = x. [para(6(a,1),50(a,1,2)),rewrite([56(6)])]. 322 L(x * x,y,z) = x * x. [para(7(a,1),50(a,1,2)),rewrite([56(5)])]. 323 x \ x = 1. [para(50(a,2),8(a,1)),rewrite([8(2),49(2)])]. 324 1 \ x = x. [para(48(a,1),50(a,1,2))]. 325 (x * x) * (((x * x) \ y) * z) = y * z. [para(51(a,1),5(a,1,1)),flip(a)]. 328 x * ((x \ y) * (z * z)) = y * (z * z). [para(51(a,1),7(a,1,1)),flip(a)]. 333 (x * ((y * y) * z)) / z = x * (y * y). [para(6(a,1),52(a,1,1))]. 335 x / x = 1. [para(52(a,2),8(a,1)),rewrite([8(2),48(2)])]. 336 x / 1 = x. [para(49(a,1),52(a,1,1))]. 337 x / (y \ x) = y. [para(51(a,1),52(a,1,1))]. 340 (x / y) \ x = y. [para(53(a,1),50(a,1,2))]. 341 (x * ((y * y) * (z * u))) \ ((x * ((y * y) * z)) * u) = a(x,(y * y) * z,u). [para(5(a,1),54(a,1,1,2))]. 342 ((x * x) * (y * (z * u))) \ ((x * x) * ((y * z) * u)) = a((x * x) * y,z,u). [para(5(a,1),54(a,1,1)),rewrite([5(7),5(8)])]. 345 a(x,y * (z * z),u) = a(x,y,(z * z) * u). [para(6(a,1),54(a,1,1,2)),rewrite([315(8),54(9)]),flip(a)]. 346 a(x * (y * y),z,u) = a(x,(y * y) * z,u). [para(6(a,1),54(a,1,1)),rewrite([6(7),341(9)]),flip(a)]. 350 a(x,y,z * z) = 1. [para(7(a,1),54(a,1,2)),rewrite([323(7)]),flip(a)]. 351 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(54(a,1),51(a,1,2))]. 353 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(51(a,1),54(a,1,2,1))]. 364 (x * y) * K(y,x) = y * x. [para(55(a,1),51(a,1,2))]. 365 x \ ((y \ x) * y) = K(y \ x,y). [para(51(a,1),55(a,1,1))]. 367 x \ (y * (x / y)) = K(y,y \ x). [para(53(a,1),55(a,1,1)),rewrite([238(5)])]. 369 K(x * x,x) = a(x,x,x). [para(55(a,1),54(a,1))]. 370 ((x * x) * (y * z)) \ ((x * x) * (y * (z * u))) = L(u,z,(x * x) * y). [para(5(a,1),56(a,1,1)),rewrite([5(7)])]. 371 (x * ((y * y) * z)) \ (x * ((y * y) * (z * u))) = L(u,(y * y) * z,x). [para(5(a,1),56(a,1,2,2))]. 372 L(x,(y * y) * z,u) = L(x,z,u * (y * y)). [para(6(a,1),56(a,1,1)),rewrite([6(7),371(8)])]. 373 (x * (y * (z * z))) \ (x * (y * ((z * z) * u))) = L(u,y * (z * z),x). [para(6(a,1),56(a,1,2,2))]. 377 L(x,y,1) = x. [para(48(a,1),56(a,1,1)),rewrite([48(3),50(2)]),flip(a)]. 379 L(1,x,y) = 1. [para(49(a,1),56(a,1,2,2)),rewrite([323(3)]),flip(a)]. 380 (x * y) * L(z,y,x) = x * (y * z). [para(56(a,1),51(a,1,2))]. 381 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(51(a,1),56(a,1,1))]. 382 L(x \ y,x,z) = (z * x) \ (z * y). [para(51(a,1),56(a,1,2,2)),flip(a)]. 383 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(53(a,1),56(a,1,1))]. 385 L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. [para(53(a,1),56(a,1,2)),flip(a)]. 388 R(x * x,y,z) = x * x. [para(5(a,1),57(a,1,1)),rewrite([52(5)]),flip(a)]. 392 R(x,y * y,z) = x. [para(6(a,1),57(a,1,1)),rewrite([52(6)]),flip(a)]. 393 R(x,y * (z * z),u) = R(x,y,(z * z) * u). [para(6(a,1),57(a,1,2)),rewrite([315(4),57(8)]),flip(a)]. 394 R(x,y,z * z) = x. [para(7(a,1),57(a,1,1)),rewrite([52(6)]),flip(a)]. 397 R(x,y,1) = x. [para(49(a,1),57(a,1,1)),rewrite([49(3),52(2)]),flip(a)]. 398 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(51(a,1),57(a,1,1,1)),flip(a)]. 401 R(x,y,z) * (y * z) = (x * y) * z. [para(57(a,1),53(a,1,1))]. 403 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(53(a,1),57(a,1,2))]. 404 x \ ((y * y) * (z * x)) = T((y * y) * z,x). [para(5(a,1),58(a,1,2))]. 405 x \ (y * ((z * z) * x)) = T(y * (z * z),x). [para(6(a,1),58(a,1,2))]. 406 (x * x) \ (y * (z * (x * x))) = T(y * z,x * x). [para(7(a,1),58(a,1,2))]. 407 T(1,x) = 1. [para(48(a,1),58(a,1,2)),rewrite([323(1)]),flip(a)]. 408 T(x,1) = x. [para(49(a,1),58(a,1,2)),rewrite([324(2)]),flip(a)]. 409 T(x,x) = x. [para(58(a,1),50(a,1))]. 410 x * T(y,x) = y * x. [para(58(a,1),51(a,1,2))]. 411 T(x,x \ y) = (x \ y) \ y. [para(51(a,1),58(a,1,2)),flip(a)]. 412 T(x / y,y) = y \ x. [para(53(a,1),58(a,1,2)),flip(a)]. 413 T(x,x * x) = L(x,x,x). [para(58(a,1),56(a,1))]. 417 L(L(L(x,y,z),u,w),v5,v6) = L(L(L(x,v5,v6),y,z),u,w). [para(64(a,1),64(a,1,1)),flip(a)]. 440 T(K(x,y),K(z,u)) = K(x,y). [para(76(a,1),50(a,1,2)),rewrite([58(5)])]. 448 K(x,y) \ 1 = K(y,x). [para(77(a,1),50(a,1,2))]. 465 (x * (y / x)) / y = K(x,x \ y). [para(53(a,1),80(a,1,2)),rewrite([238(5)])]. 467 K(x,y) * T(y,x) = y. [para(84(a,1),53(a,1,1))]. 486 (x \ 1) * x = K(x \ 1,x). [para(91(a,2),80(a,2)),rewrite([51(6),336(5),91(8)])]. 505 K(L(x,y,z) \ 1,L(L(x,y,z),u,w)) = K(x \ 1,L(x,u,w)). [para(93(a,1),102(a,1,1)),rewrite([102(4)]),flip(a)]. 517 x \ ((y * x) / y) = K(y,x). [para(147(a,2),50(a,1,2))]. 526 x * a(x,x,x) = R(x,x,x). [para(147(a,1),57(a,1)),rewrite([369(2)])]. 530 K(x,y) \ ((x * y) / x) = T(y,K(x,y)). [para(147(a,2),58(a,1,2))]. 531 (x * a(y,z,u)) / x = a(y,z,u). [para(70(a,1),147(a,2,2)),rewrite([49(6)])]. 532 (K(x,y) * z) / K(x,y) = z * K(x,K(y,z)). [para(73(a,1),147(a,2,2))]. 542 ((x * y) / x) / y = T(K(x,y),y). [para(147(a,2),147(a,1,1)),rewrite([74(6),156(7)])]. 547 T(a(x,y,z),u) = a(x,y,z). [para(11(a,1),149(a,1,2)),rewrite([49(3)]),flip(a)]. 548 T(x,K(y,K(z,u))) = x. [para(12(a,1),149(a,1,2)),rewrite([49(2)]),flip(a)]. 553 K(x,K(x,y)) = 1. [para(149(a,1),55(a,1,1)),rewrite([168(3),323(3),73(3),75(3)]),flip(a)]. 559 K(x,y) \ T(x,y) = T(x,K(x,y)). [para(149(a,1),58(a,1,2))]. 561 T(x,a(y,z,u)) = x. [para(70(a,1),149(a,1,2)),rewrite([49(2)]),flip(a)]. 562 T(x,K(y,z)) = T(x,K(z,y)). [para(75(a,1),149(a,1,2)),rewrite([149(3)])]. 564 T(x,K(y,z * z)) = x. [para(86(a,1),149(a,1,2)),rewrite([49(2)]),flip(a)]. 567 T(x,y) / x = K(x,y). [para(149(a,1),147(a,1,1)),rewrite([553(5),49(5)])]. 568 T(T(x,y),K(y,z)) = T(x,T(y,z)). [back_rewrite(150),rewrite([562(3)])]. 569 x * T(K(x,y),z) = T(x,T(y,z)). [back_rewrite(222),rewrite([568(3)]),flip(a)]. 584 T(T(x,y),K(z,T(u,y))) = K(z,K(x,u)) * T(x,y). [para(85(a,1),152(a,1,1,2)),flip(a)]. 586 T(L(x,y,z) \ 1,K(u,L(x,y,z))) = K(u,K(x,x \ 1)) * (L(x,y,z) \ 1). [para(93(a,1),152(a,1,1,2)),rewrite([75(4)]),flip(a)]. 591 T(x,K(y,z) * (K(z,y) \ u)) = T(x,u). [para(51(a,1),153(a,2,2)),rewrite([562(6),562(9),153(10)])]. 600 a(x,y,z) \ T(u * a(x,y,z),K(w,v5)) = T(u,a(x,y,z) * K(v5,w)). [para(72(a,2),153(a,2,2)),rewrite([547(4)])]. 601 K(x,y) \ T(z * K(x,y),K(u,w)) = T(z,K(x,y) * K(w,u)). [para(76(a,1),153(a,2,2)),rewrite([440(4)])]. 610 T(x,T(y,K(z,u))) = T(x,y). [para(152(a,1),153(a,2,2)),rewrite([73(2),548(3),73(3),548(4),58(2),562(3)]),flip(a)]. 611 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [para(91(a,1),154(a,1,2)),rewrite([154(5)]),flip(a)]. 612 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [para(93(a,1),154(a,1,2)),rewrite([154(5)]),flip(a)]. 618 T(x * x,K(y,z)) = x * x. [para(86(a,1),155(a,1,1)),rewrite([48(3)]),flip(a)]. 634 T(K(x,y),z * z) = K(x,y). [para(86(a,1),156(a,1,2)),rewrite([49(3)]),flip(a)]. 640 T(K(x,x),x) = 1. [para(156(a,1),147(a,2)),rewrite([149(2),409(1),335(1)]),flip(a)]. 663 T(T(K(x,y),z),T(u,z)) = K(x,K(y,u)) * T(K(x,y),z). [para(73(a,1),157(a,2,1))]. 676 T(T(x,y),T(z,y)) / K(x,z) = T(x,y) * K(x,K(z,T(x,y))). [para(157(a,2),147(a,1,1)),rewrite([73(9)])]. 680 x \ T(T(T(x,K(y,z)),u),K(y,z)) = T(K(x,u),K(z,y) * x). [para(157(a,2),153(a,1,2,1)),rewrite([610(5)])]. 691 (x * y) / T(y,x) = T(x,y). [para(159(a,1),52(a,1,1))]. 695 K(T(x,y),T(y,x)) = K(x,y). [para(159(a,1),55(a,1,1)),rewrite([159(4),55(3)]),flip(a)]. 703 T(x,L(y,z,u)) * L(T(y,x),z,u) = x * L(y,z,u). [para(60(a,1),159(a,1,2))]. 706 (x * y) / T(x,y) = y. [para(159(a,1),147(a,1,1)),rewrite([695(7),164(6)])]. 721 x \ (y / (y / x)) = K(x \ y,x). [para(160(a,2),50(a,1,2))]. 731 (x * y) * K(y,K(x,x * y)) = (y * x) / K(y,x). [para(55(a,1),160(a,2,2,1)),rewrite([80(4),73(7)]),flip(a)]. 746 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(160(a,1),87(a,1)),rewrite([91(6)])]. 750 L(x,y,z) * K(x \ 1,x) = L(1 / (1 / x),y,z). [para(160(a,1),88(a,1)),rewrite([93(6)])]. 758 x * K(x \ 1,x) = 1 / (1 / x). [para(91(a,2),160(a,2,2)),rewrite([91(9)]),flip(a)]. 761 (x * y) / (y * K(x,y)) = x * K(y,x). [para(147(a,1),160(a,1,2)),rewrite([50(6)])]. 771 T(x,K(y,z) * (u / K(y,z))) = T(x,u). [para(53(a,1),162(a,2,2))]. 776 T(x,y * K(z,K(u,w))) = T(x,y). [para(73(a,1),162(a,1,2,1)),rewrite([213(4),73(3)]),flip(a)]. 801 T(x,y) \ x = K(y,x). [para(164(a,1),50(a,1,2))]. 827 T(K(x,y * y),z) = K(x,y * y). [para(86(a,1),164(a,1,2)),rewrite([49(5)])]. 845 x * T(T(y,x),z) = T(y,z) * x. [para(52(a,1),165(a,1,1,1)),rewrite([58(4)]),flip(a)]. 856 ((x * T(x \ y,z)) * u) / (x * u) = R(T(y / x,z),x,u). [para(165(a,1),57(a,1,1,1))]. 859 T(T(x / y,z),y) = T(y \ x,z). [para(165(a,1),58(a,1,2)),rewrite([50(4)]),flip(a)]. 868 T(x * K(y,x),z) * y = y * T(x,z). [para(147(a,1),165(a,1,1,1)),rewrite([50(6)])]. 879 K(x \ y,T(z,x)) = K(y / x,z). [para(48(a,1),166(a,1,2,2)),rewrite([377(3),48(5),48(5)])]. 928 T(x,K(x,y)) = x. [para(168(a,1),50(a,1,2)),rewrite([559(3)])]. 937 T(K(x,y),x) = K(x,y). [para(168(a,1),58(a,1,2)),rewrite([82(2)]),flip(a)]. 940 T(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,x) * (L(x,y,z) \ 1). [para(93(a,1),168(a,1,1)),flip(a)]. 941 T(K(T(x,K(y,z)),u),K(z,y) * x) = T(K(x,u),K(z,y) * x). [para(168(a,1),153(a,1,2,1)),rewrite([680(6)]),flip(a)]. 942 x \ T(y * x,K(x,z)) = T(y,T(x,z)). [para(168(a,1),153(a,2,2)),rewrite([562(2),928(2),562(3)])]. 943 K(L(x \ y,x,K(x,z)),T(u,T(x,z))) = K((K(x,z) * y) / T(x,z),u). [para(168(a,1),166(a,1,2,2)),rewrite([168(10)])]. 948 K(x,x) = 1. [back_rewrite(640),rewrite([937(2)])]. 959 K(x,T(y,x)) = K(x,y). [para(52(a,1),171(a,1,1)),flip(a)]. 964 K(x,T(K(y,z),u)) = K(x,K(z,T(y,u))). [para(171(a,1),73(a,2)),rewrite([171(3),73(3),75(3)]),flip(a)]. 976 K(x,K(y,T(z,u))) * z = T(z,K(x,T(y,u))). [para(171(a,1),152(a,1,1)),rewrite([964(3),171(7)])]. 979 K(x,(y * z) / y) = K(T(x,y),z). [para(171(a,1),154(a,1,2)),rewrite([154(4)]),flip(a)]. 983 K(x,T(y,z)) * K(x,K(u,T(y,z))) = T(K(x,T(y,z)),u). [para(171(a,1),156(a,1,2)),rewrite([171(3),964(5),171(9)])]. 993 K(T(x \ y,z),T(u,x)) = K(T(y / x,z),u). [para(165(a,2),171(a,1,1,1)),rewrite([165(3),223(4),51(2)]),flip(a)]. 999 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(52(a,1),172(a,1,1,1,1))]. 1015 K(x / ((y * z) / y),u) = K(x / (z * K(y,z)),u). [para(147(a,2),172(a,2,1,2)),rewrite([172(6)]),flip(a)]. 1019 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(172(a,1),154(a,1,2)),rewrite([154(5)]),flip(a)]. 1020 K(L(K(x,y) / z,z,K(y,x)),u) = K(1 / (z * K(y,x)),u). [para(154(a,1),172(a,1,1,1,1))]. 1039 K(T(x,y),z) = K(x,T(z,y)). [para(173(a,1),84(a,2)),rewrite([186(3),84(3)])]. 1053 K(x,y * K(z,y)) = K(x,T(y,z)). [para(173(a,1),154(a,1,2)),rewrite([154(4),1039(2)]),flip(a)]. 1057 K(x / (x / y),z) = K(y,T(z,y \ x)). [para(160(a,2),173(a,1,1))]. 1068 T(K(x,T(y,K(z,u))),K(u,z) * x) = T(K(x,y),K(u,z) * x). [back_rewrite(941),rewrite([1039(3)])]. 1069 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [back_rewrite(993),rewrite([1039(4),1039(7)])]. 1073 K(x,(y * z) / y) = K(x,T(z,y)). [back_rewrite(979),rewrite([1039(5)])]. 1087 K(x,T(T(x,y) \ 1,y)) = K(x,x \ 1). [back_rewrite(611),rewrite([1039(5)])]. 1092 K(x,T(T(y,z),z)) = K(x,y). [back_rewrite(85),rewrite([1039(3)])]. 1122 (K(x,y) * z) / K(x,y) = T(z,K(x,y)). [para(175(a,1),52(a,1,1)),rewrite([562(6)])]. 1129 T(T(x,K(y,z)),K(y,z)) = x. [para(175(a,1),58(a,1,2)),rewrite([50(4),562(2)]),flip(a)]. 1130 T(T(x,K(y,z)),u) * K(z,y) = K(z,y) * T(x,u). [para(59(a,1),175(a,1,1))]. 1134 (K(x,y) \ z) * K(x,y) = K(x,y) * (z / K(x,y)). [para(175(a,1),165(a,1)),rewrite([562(9),410(10)]),flip(a)]. 1136 x * K(y,K(z,x)) = T(x,K(y,z)). [back_rewrite(532),rewrite([1122(4)]),flip(a)]. 1137 (x * y) / K(x,y) = T(y * x,K(y,x)). [back_rewrite(731),rewrite([74(4),1136(5)]),flip(a)]. 1138 T(T(x,y),T(z,y)) / K(x,z) = T(T(x,y),K(x,z)). [back_rewrite(676),rewrite([1136(10)])]. 1140 (x * K(y * y,x)) * ((y * y) * z) = (y * y) * (x * z). [para(176(a,1),6(a,1,1)),rewrite([5(3)]),flip(a)]. 1143 a(x,y,z) * u = u * a(x,y,z). [para(11(a,1),176(a,1,1,2)),rewrite([49(2)]),flip(a)]. 1153 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(176(a,1),57(a,1,1,1)),flip(a)]. 1155 ((x * (y * K(z,y))) * z) / (z * y) = R(x,y * K(z,y),z). [para(176(a,1),57(a,1,2))]. 1156 T(K(x,y),z) * z = z * K(x,y). [para(73(a,2),176(a,1,1,2)),rewrite([73(3),74(3),75(3),156(4)])]. 1164 (R(x,y,z) * K(u,L(x,y,z))) * u = u * R(x,y,z). [para(96(a,1),176(a,1,1,2))]. 1181 K(x / y,T(T(z,y),u)) = K(y \ x,T(z,u)). [para(59(a,1),177(a,1,2))]. 1188 K(1 / x,x) = K(x \ 1,x). [para(177(a,2),91(a,2)),rewrite([91(5),409(6)]),flip(a)]. 1191 (x / y) * K(y \ x,z) = T(x / y,T(z,y)). [para(177(a,1),149(a,1,2))]. 1197 K(x,y \ z) * K(x,K(u,y \ z)) = T(K(x,y \ z),u). [para(177(a,2),156(a,1,2,2)),rewrite([177(5),75(5)])]. 1205 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(177(a,1),168(a,1,1))]. 1225 T(K(x,y),z) * K(y,K(u,T(x,z))) = T(T(K(x,y),u),z). [para(73(a,2),178(a,2,1,2)),rewrite([964(5),74(5),73(9),74(9),75(9),156(10)])]. 1228 T(x * K(T(x,y) \ 1,x),y) = T(1 / (1 / x),y). [para(91(a,1),178(a,1,2)),rewrite([746(5)]),flip(a)]. 1245 K(x,T(y * K(z,y),u)) = K(x,T(T(y,z),u)). [para(178(a,2),171(a,2,2)),rewrite([1053(5),171(4),178(7)]),flip(a)]. 1266 K(x,y) * T(K(x,y) \ (x * y),z) = T(y * x,z) * K(x,y). [para(55(a,1),180(a,1,1)),rewrite([55(4),55(11)])]. 1286 K(x * (y / x),z) = K(y,T(z,x)). [para(53(a,1),181(a,1,1)),flip(a)]. 1287 K(x * y,T(T(z,y),u)) = K(y * x,T(z,u)). [para(59(a,1),181(a,1,2))]. 1295 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [para(181(a,1),149(a,1,2))]. 1296 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(149(a,1),181(a,2,1)),rewrite([168(2),1039(3),1039(5)])]. 1299 K(x * (K(y,z) * u),T(w,K(z,y) * u)) = K((K(y,z) * u) * x,w). [para(153(a,2),181(a,1,2)),rewrite([562(5),562(8),153(9)])]. 1300 K(x,T(y * z,z)) = K(x,z * y). [para(181(a,1),154(a,1,2)),rewrite([154(4),1039(5)]),flip(a)]. 1316 K(x * y,z) * (y * x) = T(y * x,T(z,x)). [para(181(a,1),168(a,1,1))]. 1322 K(T(x,y) * y,T(z,T(y,x))) = K(x * y,z). [para(176(a,1),181(a,2,1)),rewrite([210(3),186(5)])]. 1323 T(x,y) * K(y * z,x) = T(x * K(z * y,x),y). [para(181(a,1),178(a,1,2))]. 1328 T(T(T(x,y),z),T(u,x)) = T(T(T(x,u),y),z). [para(182(a,1),59(a,1,1)),flip(a)]. 1337 T(x,y) * K(x,T(z,y)) = T(T(x,z),y). [para(182(a,1),149(a,2)),rewrite([1039(4),1296(4)])]. 1338 K(x,K(y,T(z,u))) * T(y,u) = T(T(y,u),K(x,z)). [para(182(a,2),152(a,2)),rewrite([1039(2),182(9)])]. 1343 T(T(x,y),x) = T(x,y). [para(182(a,1),157(a,1)),rewrite([409(4),168(4)])]. 1352 T(T(x * K(y,z),u),T(w,K(y,z) * x)) = T(T(x * K(y,z),w),u). [para(162(a,2),182(a,1,2))]. 1365 K(K(x,K(y,z)) * u,w) = K(u,w). [para(48(a,1),183(a,1,1)),rewrite([48(6)])]. 1366 K(x * K(y,K(z,u)),w) = K(x,w). [para(49(a,1),183(a,1,1,2)),rewrite([49(6)])]. 1372 K(x * T(y,K(z,u)),w) = K(x * y,w). [para(152(a,1),183(a,1,1,2))]. 1373 K(x,K(y,T(z,u))) = K(x,K(y,z)). [para(156(a,1),183(a,2,1)),rewrite([212(8),1366(5),73(2),1039(5),73(5)]),flip(a)]. 1385 K(x,K(y,z)) * T(y,u) = T(T(y,u),K(x,z)). [back_rewrite(1338),rewrite([1373(3)])]. 1388 T(K(x,y),z) * K(x,K(y,u)) = T(T(K(x,y),u),z). [back_rewrite(1225),rewrite([1373(5),75(4),74(4)])]. 1390 K(x,T(y,z)) * K(x,K(y,u)) = T(K(x,T(y,z)),u). [back_rewrite(983),rewrite([1373(5),75(4)])]. 1391 T(x,K(y,T(z,u))) = T(x,K(y,z)). [back_rewrite(976),rewrite([1373(3),155(3)]),flip(a)]. 1393 K(x,T(K(y,z),u)) = K(x,K(y,z)). [back_rewrite(964),rewrite([1373(6),75(5)])]. 1404 K(x,K(y,z)) * T(x,u) = T(T(x,u),K(y,z)). [back_rewrite(584),rewrite([1391(4),74(5)]),flip(a)]. 1424 K((x * (y / x)) \ z,T(u,y / x)) = K(((x \ z) * x) / y,u). [para(53(a,1),184(a,2,1,2))]. 1425 K(((x \ ((x * y) * z)) * x) / ((y * z) * x),u) = 1. [para(54(a,1),184(a,1,1)),rewrite([11(4)]),flip(a)]. 1454 K((K(x,y) * (z / K(x,y))) / T(x,y),u) = K(T(x,y) \ z,T(u,x)). [para(149(a,1),184(a,2,1,2)),rewrite([168(2),1134(8)]),flip(a)]. 1476 K(((T(x,y) \ z) * T(x,y)) / (y * x),u) = K((x * y) \ z,T(u,T(y,x))). [para(159(a,1),184(a,1,1,1)),rewrite([159(12)]),flip(a)]. 1499 K((K(x,y) * z) \ u,T(w,z)) = K((K(x,y) * (u / K(x,y))) / (z * K(x,y)),w). [para(175(a,2),184(a,1,1,1)),rewrite([175(4),1134(9)])]. 1512 T(x,T(y * K(z,y),u)) = T(x,T(T(y,z),u)). [para(59(a,1),186(a,2,2)),rewrite([178(4)])]. 1518 T(x,(y * z) / y) = T(x,T(z,y)). [para(147(a,2),186(a,1,2))]. 1520 T(K(x,y),T(z,u)) = T(K(x,y),z). [para(186(a,1),156(a,2)),rewrite([1053(4),1373(4),156(4)]),flip(a)]. 1521 T(x,T(y,z) * K(u,y)) = T(x,K(y,u) * T(y,z)). [para(157(a,1),186(a,2,2)),rewrite([1039(4),1092(4)])]. 1525 T(x,T(T(y,z * u),L(u \ w,u,z))) = T(x,T(y,z * u) * K((z * w) / (z * u),y)). [para(166(a,1),186(a,1,2,2)),flip(a)]. 1542 T(T(x,y),K(x,z)) = T(x,y). [para(188(a,2),52(a,1,1)),rewrite([1138(5)])]. 1559 T(T(K(x,y),z),T(u,z)) = T(T(K(x,y),u),z). [para(73(a,1),188(a,2,2)),rewrite([1388(9)])]. 1569 T(T(x,y),T(T(x,y),y)) = T(x,y). [para(188(a,2),147(a,2)),rewrite([223(3),147(2),948(1),49(2)]),flip(a)]. 1581 T(x,T(T(y,z),T(u,z))) = T(x,K(y,u) * T(y,z)). [para(188(a,2),162(a,2,2)),flip(a)]. 1599 T(x,y) * x = x * T(x,y). [para(188(a,2),176(a,1,1)),rewrite([1569(4)])]. 1626 K(x,K(y,z)) * T(K(x,y),u) = T(T(K(x,y),z),u). [back_rewrite(663),rewrite([1559(4)]),flip(a)]. 1631 T(T(T(x,K(y,z)),u),K(y,z)) = T(x,u). [para(73(a,1),189(a,1,1,1,2)),rewrite([75(2),74(2),149(3)])]. 1633 T(x * K(y,x),z) \ T(x,z) = K(x,T(y,z)). [para(189(a,1),82(a,1,2)),rewrite([1039(9),173(9),1343(7)])]. 1660 K(x * y,T(T(z,x),u)) = K(y * x,T(z,u)). [para(189(a,1),181(a,1,2)),rewrite([1245(8)]),flip(a)]. 1666 T(x,T(y * K(z,y),u) * K(z,T(y,u))) = T(x,T(y,u)). [para(189(a,1),186(a,2,2)),rewrite([1245(7),1296(6)])]. 1670 T(K(x,y),K(z,u) * x) = K(x,y). [back_rewrite(680),rewrite([1631(5),82(2)]),flip(a)]. 1671 K(x,T(y,K(z,u))) = K(x,y). [back_rewrite(1068),rewrite([1670(6),1670(7)])]. 1691 T(x,x \ y) * K(y,x) = R(x,x \ y,x). [para(51(a,1),192(a,1,2,1))]. 1702 K(x * y,x) \ R(x,y,x) = T(x,y). [para(192(a,1),58(a,1,2)),rewrite([562(8),1542(8)])]. 1705 R(T(x,y),z,u) * K(R(x,z,u) * y,L(x,z,u)) = R(R(x,z,u),y,R(x,z,u)). [para(61(a,1),192(a,1,1)),rewrite([96(6)])]. 1706 R(a(x,y,z),u,a(x,y,z)) = a(x,y,z). [para(70(a,1),192(a,1,2)),rewrite([547(2),49(3)]),flip(a)]. 1712 T(x,L(y,z,u)) * K(x * R(y,z,u),x) = R(x,R(y,z,u),x). [para(98(a,1),192(a,1,1))]. 1714 L(x,K(y,x),x) = T(x,T(x,y)). [para(147(a,2),192(a,1,2,1)),rewrite([562(2),928(2),171(3),149(3),100(4)]),flip(a)]. 1730 K(x * y,x) * T(x,y) = R(x,y,x). [para(192(a,1),176(a,2)),rewrite([75(6),74(6),1039(5),1300(5),553(5),49(4)])]. 1735 T(x * K(x * y,x),y) = R(x,y,x). [para(181(a,2),192(a,1,2)),rewrite([409(3),1323(4)])]. 1788 T(K(x,y) * z,T(u,K(y,x) * z)) = T(K(x,y) * z,u). [para(153(a,2),196(a,1,2)),rewrite([562(4),562(7),153(8)])]. 1794 T(x * K(y,z),T(u,K(y,z) * x)) = T(x * K(y,z),u). [para(162(a,2),196(a,1,2))]. 1816 x * (1 / x) = K(x,x \ 1). [para(197(a,1),48(a,1))]. 1833 x * K(y,K(z,K(y,z) \ x)) = K(y,z) * (x / K(y,z)). [para(73(a,1),197(a,1,2))]. 1840 T(K(x,x \ y),y) = K(x,x \ y). [para(197(a,1),147(a,1,1)),rewrite([465(3),74(7),1197(8)]),flip(a)]. 1841 (x / y) * K(y,y \ x) = (y * (x / y)) / y. [para(197(a,2),147(a,1,1)),rewrite([197(3),238(6)]),flip(a)]. 1844 (x / K(y,z)) \ T(u * (K(y,z) \ x),K(y,z)) = T(u,x). [para(197(a,2),153(a,2,2)),rewrite([562(6),412(6),562(7),73(12),1833(13),771(13)])]. 1845 K(x,x \ y) * y = x * (y / x). [para(197(a,1),159(a,2)),rewrite([1840(6),227(6)])]. 1847 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(160(a,1),197(a,2,2)),rewrite([340(3),215(3)]),flip(a)]. 1861 T(x,y / x) * K(y,x) = R(x,y / x,x). [para(197(a,2),192(a,1,2,1)),rewrite([197(5),1286(5),409(3)])]. 1878 K(x \ 1,x) / L(x,y,z) = L(x,y,z) \ 1. [para(93(a,1),198(a,1,1)),rewrite([411(11),337(12)])]. 1911 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(74(a,1),199(a,1,1))]. 1912 T(K(x * x,y),z) = K(x * x,y). [para(86(a,1),199(a,1,1)),rewrite([48(4)]),flip(a)]. 1928 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(199(a,2),177(a,1,2)),rewrite([74(3),1911(5),1393(4),74(3),75(3),74(3),74(6),75(6),74(6)])]. 1932 K(x,K(y,z * u)) * K(y,T(x,z)) = T(K(y,T(x,z)),u * z). [para(181(a,1),199(a,1,1,2)),rewrite([75(3),1039(5),1039(8)])]. 1934 K(x * T(K(y,z),u),w) = K(x * K(y,z),w). [para(199(a,1),183(a,1,1,2))]. 1949 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [para(51(a,1),201(a,1,2)),flip(a)]. 1961 T(x,K(y,z)) * (x \ K(y,z)) = T(K(y,z),x). [para(175(a,1),201(a,1,2)),rewrite([58(3),562(4)]),flip(a)]. 1970 T(x,y) * (x \ K(x * y,x)) = x \ R(x,y,x). [para(192(a,1),201(a,1,2)),flip(a)]. 1989 K(x,T(y,y \ z)) = K(x,z / (z / y)). [para(160(a,2),202(a,2,2)),rewrite([202(7),1053(4)])]. 2004 K(x,y * T(K(z,u),w)) = K(x,y * K(z,u)). [para(199(a,1),202(a,1,2,2))]. 2015 T(x,y) * (x \ y) = (x * y) / x. [para(203(a,2),50(a,1,2)),rewrite([201(3)])]. 2044 ((x * y) / x) * K(x,y) = (T(x,y) * y) / x. [para(203(a,2),147(a,1,1)),rewrite([238(8),50(7)]),flip(a)]. 2045 K(x,y) * y = y * K(x,y). [para(147(a,2),203(a,2,2,1)),rewrite([562(2),928(2),542(5),410(5)]),flip(a)]. 2068 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(203(a,1),181(a,2,1)),rewrite([410(2),1286(8)])]. 2080 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(199(a,2),203(a,1,1)),rewrite([199(4),1156(3),1122(7),562(5)]),flip(a)]. 2086 (x * K(y,z)) / x = T(K(y,z),x). [back_rewrite(1961),rewrite([2015(5)])]. 2154 L(K(x,y) \ z,K(x,y),K(y,x)) = K(y,x) * z. [para(51(a,1),206(a,1,2)),flip(a)]. 2165 K(x,K(y,z)) * (K(x,K(y,z)) * u) = L(u,K(x,K(y,z)),K(x,K(y,z))). [para(73(a,1),206(a,1,1)),rewrite([74(4),75(4),74(8),75(8),73(10)])]. 2169 L(x,K(y,z),K(z,y)) / K(z,y) = T(K(y,z) * x,K(y,z)). [para(206(a,1),147(a,1,1)),rewrite([73(11),74(11),1136(12)])]. 2170 K(x,K(y,L(z,K(y,x),K(x,y)))) = K(x,y) * T(K(y,x),z). [para(147(a,2),206(a,1,2)),rewrite([2086(4),74(6),75(6),74(6),102(9),102(8)]),flip(a)]. 2177 K(x,T(y,z)) * (K(y,T(x,z)) * u) = L(u,K(y,T(x,z)),K(x,T(y,z))). [para(171(a,1),206(a,1,1)),rewrite([1073(5),1073(9),171(11)])]. 2188 L(T(x,K(y,z)),K(z,y),K(y,z)) = K(y,z) * (x * K(z,y)). [para(203(a,2),206(a,1,2)),rewrite([1156(4),1122(8),562(6)]),flip(a)]. 2194 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(207(a,1),52(a,1,1))]. 2195 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(52(a,1),207(a,1,1,1)),rewrite([58(4)]),flip(a)]. 2207 (x * L(x \ y,z,u)) / (x * L(y / x,z,u)) = K(L(y / x,z,u),x). [para(207(a,1),80(a,1,1))]. 2213 (x * L(x \ y,z,u)) / L(y / x,z,u) = x * K(L(y / x,z,u),x). [para(207(a,1),147(a,1,1))]. 2220 K(L(x \ y,z,u),T(w,x)) = K(L(y / x,z,u),w). [para(207(a,2),171(a,1,1,1)),rewrite([207(3),2194(4)]),flip(a)]. 2224 K(x * L(x \ y,z,u),T(w,x)) = K(x * L(y / x,z,u),w). [para(207(a,1),181(a,1,1))]. 2226 T(x,y) * L(T(x,y) \ y,z,u) = T(x,y) * L(x \ T(y,x),z,u). [para(194(a,1),207(a,2,2,1)),rewrite([207(5)])]. 2231 T(x,L(x \ y,z,u)) * L(x \ y,z,u) = x * L(y / x,z,u). [para(207(a,2),203(a,2,2,1)),rewrite([207(9),2194(10)])]. 2244 x / T(y,y \ x) = y \ x. [para(149(a,2),208(a,1,2)),rewrite([238(2),149(3)])]. 2256 K(x \ 1,x) / x = x \ 1. [para(208(a,1),198(a,2)),rewrite([1188(3)])]. 2287 (x * K(y,x)) * K(y,x) = (T(y,x) * x) / y. [para(210(a,1),147(a,1,1)),rewrite([1053(8),959(7)]),flip(a)]. 2314 T(x,y) * K(T(x,y) * y,x) = R(x,y * K(x,y),x). [para(210(a,1),192(a,1,2,1)),rewrite([186(3),196(2)])]. 2332 K(x,K(y,z)) * K(y,T(x,u)) = T(K(y,T(x,u)),z). [para(171(a,1),211(a,1,1,2)),rewrite([1373(3),171(5),171(8)])]. 2335 K(x,K(y,z \ u)) * K(u / z,x) = T(K(u / z,x),y). [para(177(a,1),211(a,1,1,2)),rewrite([75(3),1520(10)])]. 2336 K(x,K(y,z * u)) * K(u * z,x) = T(K(u * z,x),y). [para(181(a,1),211(a,1,1,2)),rewrite([75(3),1520(10)])]. 2341 T(K(x,T(y,z)),u * z) = T(K(x,T(y,z)),z * u). [back_rewrite(1932),rewrite([2332(6)]),flip(a)]. 2399 K(x / y,y) = K(y \ x,y). [para(214(a,2),50(a,1,2)),rewrite([721(3)]),flip(a)]. 2412 x * K(y \ x,y) = (y \ x) * y. [para(214(a,1),197(a,2,2)),rewrite([340(3),2399(2),2399(6),1847(8)])]. 2426 x \ K(x,x \ 1) = 1 / x. [para(91(a,2),217(a,1,1,2)),rewrite([91(5),758(4),340(6)]),flip(a)]. 2428 L(1 / (1 / x),y,z) \ 1 = L(x,y,z) \ K(x,x \ 1). [para(93(a,1),217(a,1,1,2)),rewrite([750(5),612(13)])]. 2431 ((x * y) / x) \ 1 = y \ K(y,x). [para(147(a,2),217(a,1,1))]. 2467 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [para(58(a,1),219(a,1,2,1)),rewrite([845(7)]),flip(a)]. 2496 T(x,T(T(y,z),u) * z) = T(x,z * T(y,u)). [para(59(a,1),220(a,1,2,1))]. 2498 T(x,R(T(y,z),u,w) * z) = T(x,z * R(y,u,w)). [para(61(a,1),220(a,1,2,1))]. 2499 K(T(x,y) * y,z) = K(y * x,z). [para(220(a,1),84(a,1,2)),rewrite([84(3)]),flip(a)]. 2507 T(x,(y \ z) * y) = T(x,y * (z / y)). [para(165(a,1),220(a,1,2)),rewrite([410(3)])]. 2529 R(x,y * K(x,y),x) = R(x,y,x). [back_rewrite(2314),rewrite([2499(4),1323(4),1735(4)]),flip(a)]. 2530 K(x * y,T(z,x)) = K(y * x,z). [back_rewrite(1322),rewrite([2499(5),2068(4)])]. 2533 K(L(x \ y,z,u) * x,w) = K(x * L(y / x,z,u),w). [back_rewrite(2224),rewrite([2530(5)])]. 2543 (x * (y * T(y \ (x \ y),z))) / y = K(1 / x,z). [para(52(a,1),221(a,2,1,2)),rewrite([255(5)])]. 2546 ((x * y) * T(K(y,x),z)) / (y * x) = K(x,K(y,z)). [para(55(a,1),221(a,1,1,2,1)),rewrite([80(10),154(9),73(8),74(8)])]. 2548 ((x * (y * T(y \ (x \ y),z))) * u) / (y * u) = K(1 / R(x,y,u),z). [para(57(a,1),221(a,2,1,2)),rewrite([255(8),265(8),255(5)])]. 2554 K(1 / R(1 / (1 / x),y,z),u) = K(1 / R(x,y,z),u). [para(89(a,1),221(a,2,1,2)),rewrite([324(6),48(6),567(8)]),flip(a)]. 2581 x * L(x \ (y * T(y \ x,z)),u,w) = K(1 / (y / x),L(z,u,w)) * x. [para(221(a,1),207(a,1,1,1)),rewrite([102(5)]),flip(a)]. 2597 (x * R(T(y,z),u,w)) / x = T((x * R(y,u,w)) / x,z). [para(61(a,1),223(a,1,1,2))]. 2598 T(K(x,y),z) = K(x,T(y,z)). [para(149(a,1),223(a,2,1,1)),rewrite([569(3),567(3),567(4)]),flip(a)]. 2611 K(x,T((y * z) / y,u)) = K(x,T(T(z,y),u)). [para(223(a,2),171(a,2,2)),rewrite([1073(5),171(4),223(6)]),flip(a)]. 2641 (x \ T(x * y,z)) / (x \ 1) = T(y / (x \ 1),z). [para(219(a,1),223(a,1,1)),rewrite([51(12)])]. 2649 ((x * y) * K(y,T(x,z))) / (y * x) = K(x,K(y,z)). [back_rewrite(2546),rewrite([2598(3)])]. 2656 K(x,T(T(y,z),u * z)) = K(x,T(T(y,z),z * u)). [back_rewrite(2341),rewrite([2598(4),2598(8)])]. 2661 K(x,K(y,z * u)) * K(u * z,x) = K(u * z,T(x,y)). [back_rewrite(2336),rewrite([2598(9)])]. 2662 K(x,K(y,z \ u)) * K(u / z,x) = K(u / z,T(x,y)). [back_rewrite(2335),rewrite([2598(9)])]. 2675 K(x,K(y,L(z,K(y,x),K(x,y)))) = K(x,y) * K(y,T(x,z)). [back_rewrite(2170),rewrite([2598(8)])]. 2677 (x * K(y,z)) / x = K(y,T(z,x)). [back_rewrite(2086),rewrite([2598(5)])]. 2679 K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). [back_rewrite(2004),rewrite([2598(2)])]. 2687 K(x * K(y,T(z,u)),w) = K(x * K(y,z),w). [back_rewrite(1934),rewrite([2598(2)])]. 2695 K(x * x,T(y,z)) = K(x * x,y). [back_rewrite(1912),rewrite([2598(3)])]. 2712 K(x,K(y,z)) * K(x,T(y,u)) = K(x,T(T(y,z),u)). [back_rewrite(1626),rewrite([2598(4),2598(7),2598(8)])]. 2717 K(x,T(y,T(z,u))) = K(x,T(y,z)). [back_rewrite(1520),rewrite([2598(3),2598(5)])]. 2722 K(x,T(y,z)) * K(x,K(y,u)) = K(x,T(T(y,z),u)). [back_rewrite(1390),rewrite([2598(8)])]. 2729 K(x,T(y,z)) * z = z * K(x,y). [back_rewrite(1156),rewrite([2598(2)])]. 2734 K(x,T(y * y,z)) = K(x,y * y). [back_rewrite(827),rewrite([2598(3)])]. 2739 K(x,T(y,z * z)) = K(x,y). [back_rewrite(634),rewrite([2598(3)])]. 2749 K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). [back_rewrite(254),rewrite([2598(6)])]. 2752 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [back_rewrite(156),rewrite([2598(6)])]. 2787 K(((T(x,y) \ z) * T(x,y)) / (y * x),u) = K((x * y) \ z,T(u,y)). [back_rewrite(1476),rewrite([2717(12)])]. 2790 K(L(x / y,y,K(y,z)),u) = K((K(y,z) * x) / T(y,z),u). [back_rewrite(943),rewrite([2717(6),2220(5)])]. 2810 L(T(x,y),z,u) \ (y * K(L(x,z,u),y)) = L(x,z,u) \ y. [para(60(a,1),224(a,1,1))]. 2877 (x \ K(y,x)) * T((T(x,y) \ 1) \ K(y,x),z) = T(x,z) * (x \ K(y,x)). [para(225(a,2),180(a,1,2,1,1))]. 2894 (x \ K(y,x)) * T((T(x,y) \ 1) \ z,u) = T(x,y) \ T(T(x,y) * z,u). [para(225(a,1),219(a,1,1))]. 2901 T(x,y) * (x \ K(z,x)) = T(x,z) \ T(x,y). [back_rewrite(2877),rewrite([2894(9),164(4)]),flip(a)]. 2905 T(x,x * y) \ T(x,y) = x \ R(x,y,x). [back_rewrite(1970),rewrite([2901(5)])]. 2914 T(x,y) \ T(1 / (1 / x),y) = K(x \ 1,x). [para(226(a,2),91(a,1)),rewrite([1228(7)])]. 2916 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(91(a,2),226(a,1,2,1,2)),rewrite([91(6),758(5),2914(7)]),flip(a)]. 2919 K(x,T(x,y)) = 1. [para(149(a,1),226(a,1,2,1)),rewrite([409(2),323(3)]),flip(a)]. 2921 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [para(226(a,2),153(a,1,2,1,2,2)),rewrite([226(5),1391(3),562(2),1391(6),562(5),153(6),1039(5)]),flip(a)]. 2925 T(x,y * K(z,T(u,w))) = T(x,K(u,z) * y). [para(226(a,2),162(a,1,2,1)),rewrite([226(5),2921(4)]),flip(a)]. 2933 T(x,K(y,z)) * K(y,T(z,u)) = K(y,T(z,u)) * x. [para(226(a,2),175(a,1,1,2)),rewrite([226(5),1391(3),562(2),1039(4),1039(7)])]. 2948 T(x,T(y,T(z,u))) = T(x,T(y,z)). [back_rewrite(1666),rewrite([2925(7),253(5)])]. 2955 T(x,K(y,z) * T(y,u)) = T(x,T(T(y,u),z)). [back_rewrite(1581),rewrite([2948(4)]),flip(a)]. 2968 T(x,T(y,z) * K(u,y)) = T(x,T(T(y,z),u)). [back_rewrite(1521),rewrite([2955(8)])]. 2970 T(x,T(T(y,z * u),L(u \ w,u,z))) = T(x,T(T(y,z * u),(z * w) / (z * u))). [back_rewrite(1525),rewrite([2968(14)])]. 2974 T(T(x,K(y,z)),u) * K(y,z) = K(y,z) * T(x,u). [para(59(a,1),227(a,1,1))]. 2976 R(T(x,K(y,z)),u,w) * K(y,z) = K(y,z) * R(x,u,w). [para(61(a,1),227(a,1,1))]. 2977 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(227(a,2),147(a,2)),rewrite([2677(3),2598(6),409(5),2045(6)]),flip(a)]. 2978 x * K(y,T(z,x)) = K(y,z) * x. [para(227(a,1),159(a,2)),rewrite([1129(4),196(4),2598(2)])]. 3001 K(x,T(T(y,z),u) * z) = K(x,z * T(y,u)). [para(59(a,1),229(a,1,2,1))]. 3003 K(x,R(T(y,z),u,w) * z) = K(x,z * R(y,u,w)). [para(61(a,1),229(a,1,2,1))]. 3014 K(x,(y \ z) * y) = K(x,y * (z / y)). [para(165(a,1),229(a,1,2)),rewrite([410(3)])]. 3016 K(x,T(T(y,z) * z,u)) = K(x,T(z * y,u)). [para(229(a,1),171(a,1)),rewrite([171(4)]),flip(a)]. 3038 T(x,y * T(z,K(u,w))) = T(x,y * z). [para(152(a,1),230(a,1,2,2))]. 3044 T(x,y * (z * K(u,K(w,v5)))) = T(x,y * z). [para(175(a,2),230(a,1,2,2)),rewrite([73(2),548(3),74(2),75(2)])]. 3076 K(x,(y * K(z,K(u,w))) * v5) = K(x,y * v5). [para(176(a,1),232(a,1,2)),rewrite([1366(9),176(8)])]. 3114 T(x / (x / y),y \ x) = y. [para(160(a,2),235(a,1,1))]. 3128 K(((x \ y) * x) / (z * x),T(u,z)) = K((x * z) \ y,u). [para(235(a,1),184(a,1,2)),rewrite([1053(10)]),flip(a)]. 3169 x * T(x \ 1,y) = K(x \ 1,y). [para(236(a,2),48(a,1)),rewrite([324(6)])]. 3171 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [para(236(a,2),50(a,1,2))]. 3203 x * (y * T(y \ (x \ y),z)) = y * K(T(x,y) \ 1,z). [para(58(a,1),236(a,2,2,1,1)),rewrite([255(5)])]. 3210 T(x,y) * K(y,T(x,z)) = T(x,K(y,z)). [para(82(a,1),236(a,2,2,1,1)),rewrite([801(3),2598(3),448(7),73(6),74(6),149(7)])]. 3211 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [para(236(a,1),147(a,1,1)),rewrite([147(12,R),223(10),51(8)])]. 3250 x * K((x \ y) \ 1,T(z,y \ x)) = y * T(y \ x,z). [para(196(a,1),236(a,1,2)),flip(a)]. 3259 K((x \ y) \ 1,z) * x = x * K(1 / (y / x),z). [para(236(a,2),203(a,2,2,1)),rewrite([562(5),175(10),221(9)])]. 3261 K((x \ y) \ 1,T(z,x)) = K(1 / (y / x),z). [para(236(a,2),204(a,1,1)),rewrite([562(8),562(13),1129(13),221(4),2598(9)]),flip(a)]. 3294 T(x,y * (z * K((z \ K(u,K(w,v5))) \ 1,v6))) = T(x,y * T(K(u,K(w,v5)) \ z,v6)). [para(236(a,1),230(a,1,2,2))]. 3303 K(1 / (x / y),L(z,u,w)) * y = y * K((y \ x) \ 1,L(z,u,w)). [back_rewrite(2581),rewrite([3171(4),102(5)]),flip(a)]. 3304 ((x * K(T(y,x) \ 1,z)) * u) / (x * u) = K(1 / R(y,x,u),z). [back_rewrite(2548),rewrite([3203(5)])]. 3305 K(T(x,y) \ 1,T(z,y)) = K(1 / x,z). [back_rewrite(2543),rewrite([3203(5),2677(6)])]. 3330 (x / y) / (y \ x) = K(y,y \ x). [para(238(a,1),84(a,2)),rewrite([412(3)])]. 3333 K(x,L(y / x,z,u)) = K(x,L(x \ y,z,u)). [para(238(a,1),102(a,1,1)),rewrite([102(3)]),flip(a)]. 3334 T(x,y / x) = T(x,x \ y). [para(238(a,1),149(a,1,2)),rewrite([149(3)]),flip(a)]. 3346 T(x,T(y \ z,y)) = T(x,z / y). [para(238(a,2),186(a,1,2,2)),rewrite([238(3),147(4,R),51(2)]),flip(a)]. 3350 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(238(a,1),198(a,1,1)),rewrite([412(7)])]. 3357 (x \ y) \ K(x \ y,x) = (y / x) \ 1. [para(238(a,2),217(a,1,1,2)),rewrite([238(3),147(4,R),51(2)]),flip(a)]. 3359 T(x,x \ y) \ (y / x) = x \ (x \ y). [para(238(a,2),224(a,1,2,2)),rewrite([238(5),147(6,R),51(4)])]. 3361 (x / y) \ K(y,y \ x) = (y \ x) \ 1. [para(238(a,1),225(a,2,2)),rewrite([412(2)]),flip(a)]. 3375 R(x,y / x,x) = R(x,x \ y,x). [back_rewrite(1861),rewrite([3334(2),1691(4)]),flip(a)]. 3387 T(T(x,y),z) * T(T(y,T(x,z)),u) = T(y,u) * T(T(x,z),y). [para(59(a,1),239(a,1,1))]. 3400 K(x,T(y,z)) * T(T(z,K(x,y)),u) = T(z,u) * K(x,T(y,z)). [para(152(a,2),239(a,1,2,1)),rewrite([2598(2),75(4),155(5),2598(9)])]. 3469 L(x,T(y,z),y) = L(x,y,T(y,z)). [para(241(a,1),56(a,1,2)),rewrite([1599(2),56(6)])]. 3491 T(x,y) * (y * x) = x * (x * y). [para(159(a,1),241(a,2,2)),rewrite([410(3)])]. 3527 K(x,y) * (K(x,T(y,z)) * (K(y,x) * u)) = K(x,T(y,z)) * L(u,K(y,x),K(x,y)). [para(206(a,1),241(a,1,2)),rewrite([2598(2),2598(9)]),flip(a)]. 3545 K(x,T(y,x * z)) = K(x,T(y,z)). [para(52(a,1),242(a,1,1)),rewrite([58(5),1039(5)])]. 3547 K(x / y,T(T(z,x),u)) = K(y \ x,T(z,u)). [para(59(a,1),242(a,1,2))]. 3552 K(R(x,y,z) / u,T(w,L(x,y,z))) = K(u \ R(x,y,z),w). [para(98(a,1),242(a,1,2))]. 3556 K(K(x,y) / z,u) = K(z \ K(x,y),u). [para(152(a,2),242(a,1,2)),rewrite([75(4),155(5),1671(5)])]. 3558 K(T(x * T(y,K(z,u)),K(z,u)) / y,T(w,x * y)) = K(x,T(w,K(u,z) * y)). [para(153(a,1),242(a,2,1)),rewrite([610(12),3038(10),1039(13)])]. 3560 K(x,T(y / z,y)) = K(x,z \ y). [para(242(a,1),154(a,1,2)),rewrite([154(4),1039(5)]),flip(a)]. 3561 T(T(x,y),K(z,y / u)) = T(T(x,y),K(z,u \ y)). [para(242(a,1),155(a,1,1,2)),rewrite([75(3),1385(5)]),flip(a)]. 3578 K(x \ y,T(T(z,y),u)) = K(y / x,T(z,u)). [para(189(a,1),242(a,1,2)),rewrite([1245(8)]),flip(a)]. 3584 K(1 / (x / y),z) = K((x / y) \ 1,z). [para(242(a,1),221(a,2)),rewrite([408(3),221(4)])]. 3588 K(x \ y,T(z,y)) = K(y / x,z). [para(235(a,1),242(a,1,2)),rewrite([1053(6)]),flip(a)]. 3608 K((x / y) \ 1,L(z,u,w)) * y = y * K((y \ x) \ 1,L(z,u,w)). [back_rewrite(3303),rewrite([3584(5)])]. 3613 K((x \ y) \ 1,T(z,x)) = K((y / x) \ 1,z). [back_rewrite(3261),rewrite([3584(9)])]. 3614 K((x \ y) \ 1,z) * x = x * K((y / x) \ 1,z). [back_rewrite(3259),rewrite([3584(9)])]. 3640 K(x,y) \ (x * y) = y * x. [para(243(a,1),50(a,1,2))]. 3641 K(x \ y,x) * y = (x \ y) * x. [para(51(a,1),243(a,1,2))]. 3645 K(x,K(y,y * x)) = 1. [para(243(a,1),55(a,1,1)),rewrite([364(4),323(3),74(4),75(4)]),flip(a)]. 3652 K(x,T(y,y * x)) = K(x,y). [para(243(a,1),58(a,1,2)),rewrite([55(3),2598(4)]),flip(a)]. 3656 K(x,L(y,z,u)) * (R(y,z,u) * x) = x * R(y,z,u). [para(96(a,1),243(a,1,1))]. 3657 T(x * y,K(y,x)) = x * y. [para(243(a,1),147(a,1,1)),rewrite([1137(3),562(3),73(7),3645(7),49(6)])]. 3658 x * K(y,K(x,z)) = T(x,K(y,z)). [para(243(a,2),152(a,1)),rewrite([73(3),73(2),75(2),553(2),319(2),48(5)])]. 3663 K(L((x * y) \ z,x * y,K(y,x)),T(u,y * x)) = K((K(y,x) * z) / (y * x),u). [para(243(a,1),166(a,1,2,2)),rewrite([243(13)])]. 3676 K(x * y,T(z,y * x)) = K(x * y,z). [para(243(a,1),181(a,1,1)),rewrite([364(7)])]. 3716 T(x * y,z) * K(y,x) = K(y,x) * T(x * y,z). [back_rewrite(1266),rewrite([3640(4)]),flip(a)]. 3730 T(x * K(y,z),T(T(u,K(y,z) * x),w)) = T(x * K(y,z),T(u,w)). [para(162(a,2),245(a,1,2,1))]. 3735 K(x / T(y,z),T(u,y)) = K(T(y,z) \ x,u). [para(245(a,2),177(a,1,2)),rewrite([245(5),2717(5)])]. 3738 T(x,T(y,z)) * K(u,T(x,y)) = T(x * K(u,x),T(y,z)). [para(245(a,2),178(a,1,1)),rewrite([245(3),2717(5)])]. 3743 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). [para(245(a,2),181(a,1,2)),rewrite([245(5),2717(5)])]. 3751 T(x,T(T(y,T(x,z)),u)) = T(x,T(y,u)). [para(245(a,1),189(a,1,1)),rewrite([189(5),186(5)]),flip(a)]. 3776 (x / y) \ (y \ x) = K(y \ x,y). [para(246(a,1),82(a,1,2)),rewrite([242(6)])]. 3815 T(1 / T(x,y),x) = x \ K(y,x). [para(198(a,1),246(a,1,1)),rewrite([562(5),928(5)])]. 3817 (x / y) \ ((y \ x) * z) = (y \ x) * ((x / y) \ z). [para(246(a,1),201(a,1,2,1)),rewrite([246(7)])]. 3836 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(246(a,1),241(a,1,1)),rewrite([246(8)]),flip(a)]. 3850 T(T(x,x \ y),x \ y) = T(x \ y,x) \ y. [para(51(a,1),247(a,1,2)),flip(a)]. 3851 T(x,x \ y) \ y = T(x \ y,x). [para(53(a,1),247(a,1,2)),rewrite([3334(2),412(5)])]. 3856 T(x,K(y,x)) = x. [para(147(a,2),247(a,1,2)),rewrite([2598(2),409(1),530(4),1129(6)])]. 3866 K(x,y) * T(x,y) = T(T(x,y),y). [para(247(a,2),168(a,2)),rewrite([1039(2),409(1),247(6)])]. 3873 T(x,T(T(y,z),z)) = T(x,y). [para(247(a,2),186(a,2,2)),rewrite([959(3),164(3),247(4)]),flip(a)]. 3931 K(T(x,y) / ((x * y) / x),T(z,y)) = K(y \ x,z). [para(248(a,1),177(a,2,1)),rewrite([1518(7),2717(7)])]. 4000 K(K(x,T(y,z)) * u,w) = K(u * K(y,x),w). [para(171(a,1),249(a,1,1,1)),rewrite([1073(7),2687(8)])]. 4001 K(x,T(y,K(z,u) * w)) = K(x,T(y,w * K(u,z))). [para(249(a,1),173(a,1,1,2)),rewrite([173(5)]),flip(a)]. 4016 T(x,T(y,K(z,u) * w)) = T(x,T(y,w * K(u,z))). [para(249(a,1),186(a,1,2,2)),rewrite([186(5)]),flip(a)]. 4028 K((x \ y) * x,z) = K(y,T(z,x)). [para(197(a,1),249(a,2,1)),rewrite([3641(3),1286(6)])]. 4029 K((x / K(y,z)) * K(z,y),u) = K(x,u). [para(197(a,2),249(a,1,1)),rewrite([73(4),1833(5),1286(5),1671(3)]),flip(a)]. 4079 T(x,T(y,z)) \ T(x * y,K(y,z)) = T(y,x). [para(251(a,1),58(a,1,2)),rewrite([2948(9),196(8)])]. 4081 x * T(T(y,T(x,z)),u) = T(T(y,u) * x,K(x,z)). [para(59(a,1),251(a,1,2))]. 4082 L(x,y,z) * T(u,L(T(x,w),y,z)) = T(u * L(x,y,z),K(w,L(x,y,z))). [para(60(a,1),251(a,1,2,2)),rewrite([562(10)])]. 4083 x * L(T(y,T(x,z)),u,w) = T(L(y,u,w) * x,K(x,z)). [para(60(a,1),251(a,1,2))]. 4085 x * R(T(y,T(x,z)),u,w) = T(R(y,u,w) * x,K(x,z)). [para(61(a,1),251(a,1,2))]. 4099 T(K(x,y) * z,K(z,u)) = K(x,y) * z. [para(175(a,2),251(a,2,1)),rewrite([2598(3),2717(3),2978(3),562(4),227(6)]),flip(a)]. 4117 T(T(x,y) * y,K(y,z)) = T(x * ((x * y) / x),K(y,z)). [para(203(a,1),251(a,2,1)),rewrite([251(4)])]. 4123 T(x * y,K(y,z)) / y = T((y * x) / y,T(y,z)). [para(251(a,1),223(a,1,1))]. 4127 T((x * K(y,T(x,z))) * y,K(y,z)) = y * x. [para(235(a,1),251(a,1,2)),rewrite([1039(3)]),flip(a)]. 4133 K(x,y) * T(x * y,K(y,z)) = T(x,T(y,z)) * y. [para(251(a,1),243(a,1,2)),rewrite([1039(3),2717(3),409(1)])]. 4135 T(x * y,K(z,y * x)) = x * y. [para(243(a,1),251(a,2,1)),rewrite([2598(5),2717(5),3652(4),364(3),562(5)]),flip(a)]. 4137 T(x * (y / z),K(z,z \ y)) = (y / z) * T(x,z \ y). [para(246(a,1),251(a,1,2,2)),rewrite([242(9),562(9)]),flip(a)]. 4141 T(x,T(y,z)) * T(y,T(x,u)) = T(T(x * y,K(y,z)),K(x,u)). [para(251(a,1),251(a,2,1)),rewrite([3751(6),1039(11),2717(11),1391(11)])]. 4172 ((K(x,y) * K(z,u)) * w) / K(z,L(u,K(x,y),w)) = T(K(x,y) * w,K(z,L(u,K(x,y),w))). [para(76(a,1),252(a,1,1,1)),rewrite([100(7),102(7),102(13),73(16),75(16),3658(17)])]. 4173 T(K(x,y) * z,K(y,L(x,K(x,y),z))) = z / K(y,L(x,K(x,y),z)). [para(77(a,1),252(a,1,1,1)),rewrite([48(2),100(3),102(3),102(9),73(12),75(12),3658(13)]),flip(a)]. 4197 (T(x,y) * z) / K(x,L(y,x,z)) = T(x * z,K(x,L(y,x,z))). [para(168(a,1),252(a,1,1,1)),rewrite([300(4),102(8),73(10),75(10),3658(11)])]. 4227 ((x * y) * z) / K(x,L(y,y * x,z)) = T((y * x) * z,K(x,L(y,y * x,z))). [para(243(a,1),252(a,1,1,1)),rewrite([300(5),102(11),73(14),75(14),3658(15)])]. 4244 K(x,T(y,z)) * T(T(x * K(y,x),z),u) = T(T(x,T(u,y)),z). [para(253(a,2),59(a,1)),rewrite([1039(2),178(6)])]. 4278 T(x,y) * K(x,z) = K(x,y) * T(x,z). [para(253(a,2),188(a,1)),rewrite([1039(2),409(1),959(4),164(4)]),flip(a)]. 4281 T(x,T(T(T(y,z),u),z)) = T(x,T(y,u)). [para(189(a,1),253(a,2,2)),rewrite([1512(7),253(7)])]. 4283 K(x,y * T(T(z,K(u,w)),v5)) = K(x,y * T(z,v5)). [para(253(a,1),202(a,1,2,2)),rewrite([610(3),73(5),75(5),74(5),149(6)]),flip(a)]. 4288 L(T(x * K(y,x),z),K(x,y),K(y,x)) = K(y,x) * T(x,T(z,y)). [para(253(a,1),206(a,1,2)),flip(a)]. 4289 T(x,T(T(y,K(z,u)),w)) = T(x,T(y,w)). [para(253(a,1),213(a,1,2)),rewrite([610(3),73(4),75(4),74(4),149(5)]),flip(a)]. 4293 T(x,T((y * z) / y,u)) = T(x,T(T(z,y),u)). [para(223(a,2),253(a,2,2)),rewrite([1518(6),253(6),223(6)]),flip(a)]. 4383 K(x,y) * T(x,T(z,y)) = T(T(x,z),y). [back_rewrite(1337),rewrite([4278(4)])]. 4403 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(255(a,1),50(a,1,2)),rewrite([56(7)])]. 4405 x * ((x \ y) * T((x \ y) \ (x \ z),u)) = y * T(y \ z,u). [para(51(a,1),255(a,1,1)),rewrite([51(2)]),flip(a)]. 4411 (x * y) * K(y,T(x,z)) = T(y * x,K(x,z)). [para(55(a,1),255(a,1,2,1)),rewrite([2598(3),58(6),82(6),2598(6),149(7),251(7)])]. 4463 K(x,K(y,z * x)) = K(x,K(z,y)). [back_rewrite(2649),rewrite([4411(4),567(5),74(3),75(3)])]. 4468 (x * y) / (x * K(y,x)) = (T(x,y) * y) / x. [para(256(a,1),160(a,1,2)),rewrite([340(10),238(9),50(8),2044(8)])]. 4479 K((K(x,y) * (z / K(x,y))) / (y * K(x,y)),u) = K((y * K(x,y)) \ z,T(u,y)). [para(256(a,2),184(a,2,1,2)),rewrite([2045(2),1134(9),256(13)]),flip(a)]. 4481 T(x,T(x,y)) = x. [para(256(a,2),192(a,1,2,1)),rewrite([3856(2),256(4),173(3),2919(2),49(2),100(2),1714(2)]),flip(a)]. 4486 L(x,K(y,z),K(z,y)) / T(K(y,z) * x,K(y,z)) = K(z,y) * K(y,K(z,K(y,z) * x)). [para(206(a,1),256(a,1,1)),rewrite([206(7),2169(8),74(13),75(13),74(13)])]. 4488 L(x * K(y,x),z,u) * ((x * y) / x) = ((x * y) / x) * L(x,z,u). [para(256(a,1),207(a,1,1,1)),rewrite([340(12)])]. 4489 (x * L(x \ y,z,u)) / (x * K(L(y / x,z,u),x)) = L(y / x,z,u) * K(x,L(x \ y,z,u)). [para(207(a,1),256(a,1,1)),rewrite([207(6),2213(9),3333(13)])]. 4490 x * K(L(y / x,z,u),x) = x * K(L(x \ y,z,u),x). [para(207(a,2),256(a,1,1)),rewrite([207(3),2194(7),2213(6)])]. 4514 L(x / y,z,u) * K(y,L(y \ x,z,u)) = (y * L(x / y,z,u)) / y. [back_rewrite(4489),rewrite([4490(7),4468(8),2231(6)]),flip(a)]. 4527 ((x * y) / x) / ((x * (y * K(z,T(y,u)))) / x) = K(y,T(T(z,x),u)). [para(59(a,1),257(a,2,2)),rewrite([1039(4)])]. 4540 K(x,K(y,z)) * T(z,u) = T(T(z,u),K(x,y)). [para(257(a,2),155(a,1,1,2)),rewrite([257(7),1373(3)])]. 4554 K(x,L(T((y / z) / u,w),u,z)) = K(x,T(y / (u * z),w)). [para(172(a,1),257(a,1,2,1,2,2)),rewrite([257(9),60(8)]),flip(a)]. 4586 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [para(258(a,1),53(a,1,1)),rewrite([2045(4)])]. 4606 T(x,L(y,z,u)) * L(y,z,u) = x * L(y * K(x,y),z,u). [para(258(a,2),210(a,1,2,2)),rewrite([258(6),4586(4)]),flip(a)]. 4607 L(x,y,z) \ K(L(x,y,z),u) = L(x * K(u,x),y,z) \ 1. [para(258(a,2),217(a,1,1,2)),rewrite([258(6),4586(4)]),flip(a)]. 4637 K(x,y * ((z * u) / z)) = K(x,y * (u * K(z,u))). [para(147(a,2),260(a,2,2,2)),rewrite([260(7)]),flip(a)]. 4641 K(x * (y * (z * K(u,K(w,v5)))),v6) = K(x * (y * z),v6). [para(260(a,1),154(a,1,2)),rewrite([154(5)]),flip(a)]. 4652 K((x * (y * (z * K(u,K(w,v5))))) * K(v6,x * (y * z)),v7) = K(x * (y * z),T(v7,v6)). [para(260(a,1),173(a,1,1,2)),rewrite([4641(17)])]. 4653 K(x,y * (z * (K(u,K(w,v5)) * v6))) = K(x,y * (z * v6)). [para(175(a,1),260(a,1,2,2,2)),rewrite([73(8),75(8),74(8),548(9)])]. 4696 K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w). [para(164(a,2),261(a,2,2,1)),rewrite([2598(5),74(7),75(7),74(7),3076(10)]),flip(a)]. 4727 K(x,K(y,z) * u) * ((K(z,y) * u) * x) = x * (K(z,y) * u). [para(261(a,1),243(a,1,1))]. 4743 T(x,y * (z / y)) = T(x,T(z,y)). [para(53(a,1),262(a,1,2,1)),flip(a)]. 4745 T(x,T(y * (K(z,u) * w),K(u,z) * w)) = T(x,(K(z,u) * w) * y). [para(153(a,2),262(a,1,2)),rewrite([562(5),562(8),153(9)])]. 4752 T(x,T(y * T(y \ z,u),y)) = T(x,y * T(z / y,u)). [para(165(a,1),262(a,1,2,1))]. 4758 T(x,T(y * z,y)) = T(x,z * y). [para(176(a,1),262(a,1,2,1)),rewrite([210(6),220(6)])]. 4760 T(x,T(T(y * K(z,y),u),y)) = T(x,T(T(y,z),u)). [para(178(a,1),262(a,2,2)),rewrite([2045(4),178(4),2948(6),1512(9)])]. 4768 T(x,T(y * T(z,u),z)) = T(x,T(z,u) * y). [para(186(a,2),262(a,1,2)),rewrite([186(5),2948(5)])]. 4773 T(x,y * x) = T(x,x * y). [para(262(a,1),196(a,1)),flip(a)]. 4781 T(x,L(y \ z,u,w) * y) = T(x,y * L(z / y,u,w)). [para(207(a,1),262(a,1,2,1)),rewrite([4758(5)])]. 4809 T(x,(y \ z) * y) = T(x,T(z,y)). [back_rewrite(2507),rewrite([4743(6)])]. 4813 T(x,T(y \ z,u) * y) = T(x,y * T(z / y,u)). [back_rewrite(4752),rewrite([4758(5)])]. 4825 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(55(a,1),263(a,2,1)),rewrite([55(3),80(4),73(3),74(3),2598(8),2717(8)])]. 4831 K(x / y,z) \ T(y \ x,T(z,y)) = T(y \ x,K(z,x / y)). [para(263(a,1),58(a,1,2)),rewrite([562(10)])]. 4838 K(x \ y,T(z,y / x)) = K(x \ y,z). [para(263(a,1),173(a,1,1)),rewrite([4481(4)]),flip(a)]. 4841 (x / y) * (y \ x) = (y \ x) * (x / y). [para(263(a,1),176(a,1,1)),rewrite([4481(4)]),flip(a)]. 4852 K(x / y,T(z,y \ x)) = K(x / y,z). [para(263(a,1),204(a,1,1)),rewrite([562(7),562(10),1129(10),567(5),879(3),2598(6)]),flip(a)]. 4872 T(x \ y,K(z,y / x)) = x \ y. [para(263(a,1),247(a,1,2)),rewrite([2598(4),4852(4),4831(6),562(8),562(11),1129(11)])]. 4879 K(x / y,L(y \ x,z,u)) = 1. [para(263(a,1),258(a,1,1,1)),rewrite([4481(4),335(5)]),flip(a)]. 4883 L(x,K(y,z),K(z,y)) / T(K(y,z) * x,K(y,z)) = K(z,T(y,K(y,z) * x)). [back_rewrite(4486),rewrite([4825(14)])]. 4888 K(x / y,z) \ T(y \ x,T(z,y)) = y \ x. [back_rewrite(4831),rewrite([4872(10)])]. 4957 (x * K(y,z)) \ K(u,K(y,z) * x) = T(x * K(y,z),u) \ 1. [para(264(a,2),225(a,2,2)),flip(a)]. 4996 x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x. [para(48(a,1),265(a,1,2,2,1,2,2)),rewrite([3203(5),3169(9)])]. 5000 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(53(a,1),265(a,1,2,2,1,2,2)),flip(a)]. 5004 (x * y) \ ((x * T(x \ z,u)) * y) = T((x * y) \ (z * y),u). [para(265(a,1),56(a,1,2)),rewrite([4403(11)])]. 5034 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(265(a,1),206(a,1)),rewrite([4403(17),77(10),324(11)])]. 5054 K(1 / R(x,y,z),u) = K(x \ 1,L(u,y,z)). [back_rewrite(3304),rewrite([4996(5),57(7),300(4)]),flip(a)]. 5059 K(1 / x,L(y,z,u)) = K(x \ 1,L(y,z,u)). [back_rewrite(2554),rewrite([5054(8),340(6),5054(8)])]. 5081 x != y | z != y | x = z. [para(48(a,1),266(a,1)),rewrite([48(3)])]. 5083 x != y | z * u != y | z \ x = u. [para(51(a,1),266(a,1))]. 5130 T(K(x,y) * T(K(x,y) \ T(z,K(x,y)),u),K(x,y)) = K(x,y) * T(K(x,y) \ z,u). [hyper(267,a,227,a,b,265,a(flip)),rewrite([58(6)])]. 5142 x != y | z * u != y | x / u = z. [para(53(a,1),267(a,1))]. 5235 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(u,z) * y). [hyper(270,a,153,a,b,50,a)]. 5306 x * y != z | x \ z = y. [para(51(a,1),275(a,1)),flip(a)]. 5358 x * y != z | z / y = x. [para(53(a,1),276(a,1)),flip(a)]. 5434 x / y != z | z * y = x. [para(52(a,1),278(a,1)),flip(a)]. 5457 x \ y != z | x * z = y. [para(50(a,1),279(a,1)),flip(a)]. 5519 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(64(a,1),282(a,1))]. 5524 L(x,a(y,z,u),x) = x. [hyper(284,a,130,a)]. 5525 L(a(x,y,x),z,u) = a(x,y,x). [hyper(284,a,129,a)]. 5526 L(x,a(y,z,y),u) = x. [hyper(284,a,128,a)]. 5527 L(x,y,a(z,u,z)) = x. [hyper(284,a,127,a)]. 5528 L(a(x,y,a(z,u,w)),v5,v6) = a(x,y,a(z,u,w)). [hyper(284,a,47,a)]. 5529 L(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),w). [hyper(284,a,46,a)]. 5530 L(a(a(x,y,z),u,w),v5,v6) = a(a(x,y,z),u,w). [hyper(284,a,45,a)]. 5531 L(x,a(y,z,a(u,w,v5)),v6) = x. [hyper(284,a,44,a)]. 5532 L(x,a(y,a(z,u,w),v5),v6) = x. [hyper(284,a,43,a)]. 5533 L(x,a(a(y,z,u),w,v5),v6) = x. [hyper(284,a,42,a)]. 5534 L(x,y,a(z,u,a(w,v5,v6))) = x. [hyper(284,a,41,a)]. 5535 L(x,y,a(z,a(u,w,v5),v6)) = x. [hyper(284,a,40,a)]. 5536 L(x,y,a(a(z,u,w),v5,v6)) = x. [hyper(284,a,39,a)]. 5537 K(x,L(y,z,u)) = K(x,y). [hyper(284,a,10,a),rewrite([102(2)])]. 5538 L(x,K(y,z),u) = x. [hyper(284,a,9,a)]. 5539 L(x,y,K(z,u)) = x. [hyper(284,a,8,a)]. 5548 K(1 / x,y) = K(x \ 1,y). [back_rewrite(5059),rewrite([5537(4),5537(7)])]. 5550 K(R(x,y,z) \ 1,u) = K(x \ 1,u). [back_rewrite(5054),rewrite([5548(4),5537(8)])]. 5552 K(x / y,y \ x) = 1. [back_rewrite(4879),rewrite([5537(4)])]. 5575 K(x,T((y / z) / u,w)) = K(x,T(y / (u * z),w)). [back_rewrite(4554),rewrite([5537(5)])]. 5578 L(x / y,z,u) * K(y,y \ x) = (y * L(x / y,z,u)) / y. [back_rewrite(4514),rewrite([5537(5)])]. 5582 ((x * y) * z) / K(x,y) = T((y * x) * z,K(x,y)). [back_rewrite(4227),rewrite([5537(5),5537(9)])]. 5584 (T(x,y) * z) / K(x,y) = T(x * z,K(x,y)). [back_rewrite(4197),rewrite([5537(4),5537(7)])]. 5587 T(K(x,y) * z,K(x,y)) = z / K(y,x). [back_rewrite(4173),rewrite([5538(4),562(4),5538(6)])]. 5588 ((K(x,y) * K(z,u)) * w) / K(z,u) = T(K(x,y) * w,K(z,u)). [back_rewrite(4172),rewrite([5538(6),5538(10)])]. 5591 L(x,y,z) * T(u,L(T(x,w),y,z)) = T(u * L(x,y,z),K(x,w)). [back_rewrite(4082),rewrite([5537(9),562(9)])]. 5593 K(x,y) * (R(y,z,u) * x) = x * R(y,z,u). [back_rewrite(3656),rewrite([5537(2)])]. 5596 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [back_rewrite(3608),rewrite([5537(5),5537(10)])]. 5620 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [back_rewrite(2675),rewrite([5539(3)]),flip(a)]. 5635 R(T(x,y),z,u) * K(R(x,z,u) * y,x) = R(R(x,z,u),y,R(x,z,u)). [back_rewrite(1705),rewrite([5537(6)])]. 5645 (R(x,y,z) * K(u,x)) * u = u * R(x,y,z). [back_rewrite(1164),rewrite([5537(3)])]. 5649 K(x,(y / z) / u) = K(x,y / (u * z)). [back_rewrite(1019),rewrite([5537(4)])]. 5661 K(x,K(y,x \ 1)) * (L(x,z,u) \ 1) = T(L(x,z,u) \ 1,K(x,y)). [back_rewrite(586),rewrite([5537(5),562(5),74(9)]),flip(a)]. 5666 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [back_rewrite(505),rewrite([5537(6),5537(5),5537(8)])]. 5676 R(K(x,y),z,u) = K(x,y). [back_rewrite(300),rewrite([5537(4)])]. 5678 L(K(x,y),z,u) = K(x,y). [back_rewrite(102),rewrite([5537(4)])]. 5679 K(x,R(y,z,u)) = K(x,y). [back_rewrite(96),rewrite([5537(4)])]. 5689 K(x,T(y,K(y,x) * z)) = z / (z / K(x,y)). [back_rewrite(4883),rewrite([5539(3),5587(4)]),flip(a)]. 5698 K(x,y) * T(y,T(z,x)) = T(y * K(x,y),z). [back_rewrite(4288),rewrite([5539(6)]),flip(a)]. 5721 K(x,y) * (K(x,T(y,z)) * (K(y,x) * u)) = K(x,T(y,z)) * u. [back_rewrite(3527),rewrite([5539(12)])]. 5739 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [back_rewrite(2188),rewrite([5539(5)]),flip(a)]. 5742 K(x,T(y,z)) * (K(y,T(x,z)) * u) = u. [back_rewrite(2177),rewrite([5539(11)])]. 5746 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [back_rewrite(2165),rewrite([5539(11)])]. 5754 K(x,y) \ z = K(y,x) * z. [back_rewrite(2154),rewrite([5539(5)])]. 5784 K(x,y) * (K(y,x) * z) = z. [back_rewrite(206),rewrite([5539(7)])]. 5785 R(x,K(y,z),u) = x. [back_rewrite(100),rewrite([5538(4)])]. 5795 K((K(x,y) * z) / (x * y),u) = K((y * x) \ z,T(u,x * y)). [back_rewrite(3663),rewrite([5539(5)]),flip(a)]. 5801 K((K(x,y) * z) / T(x,y),u) = K(z / x,u). [back_rewrite(2790),rewrite([5539(3)]),flip(a)]. 5810 K((x * K(y,z)) \ 1,u) = K(x \ K(z,y),u). [back_rewrite(1020),rewrite([5539(4),3556(3),5548(8)]),flip(a)]. 5826 R(x,y,K(z,u)) = x. [back_rewrite(101),rewrite([5539(4)])]. 5827 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [back_rewrite(3305),rewrite([5548(8)])]. 5834 T(x * K(y,z),u) / K(y,z) = K(z,y) * T(K(y,z) * x,u). [back_rewrite(5130),rewrite([5754(5),2080(5),5587(7),5754(8)])]. 5856 (K(x,y) * T(K(y,x) * z,u)) * K(y,x) = T(z * K(y,x),u). [back_rewrite(5034),rewrite([5754(3)])]. 5871 K(x,y / z) * T(z \ y,T(x,z)) = z \ y. [back_rewrite(4888),rewrite([5754(6)])]. 5900 T(x,y * (z * K((z \ K(u,K(w,v5))) \ 1,v6))) = T(x,y * T(K(u,K(w,v5)) * z,v6)). [back_rewrite(3294),rewrite([5754(12),73(11),75(11),74(11)])]. 5927 (x / K(y,z)) \ T(u * (K(z,y) * x),K(y,z)) = T(u,x). [back_rewrite(1844),rewrite([5754(4)])]. 5928 x * K(y,K(z,K(z,y) * x)) = K(y,z) * (x / K(y,z)). [back_rewrite(1833),rewrite([5754(2)])]. 5929 K(x,x * y) * R(x,y,x) = T(x,y). [back_rewrite(1702),rewrite([5754(4)])]. 5931 (K(x,y) * z) * K(y,x) = K(y,x) * (z / K(y,x)). [back_rewrite(1134),rewrite([5754(2)])]. 5934 K(x,y) * T(z * K(y,x),K(u,w)) = T(z,K(y,x) * K(w,u)). [back_rewrite(601),rewrite([5754(6)])]. 5935 T(x,K(y,z) * (K(y,z) * u)) = T(x,u). [back_rewrite(591),rewrite([5754(3)])]. 5938 K((x / K(y,z)) / y,u) = K(T(y,z) \ x,T(u,y)). [back_rewrite(1454),rewrite([5801(7)])]. 5939 K(x,y) * (T(K(x,y) * z,u) / K(x,y)) = T(z * K(x,y),u). [back_rewrite(5856),rewrite([5931(7)])]. 6049 (T(x,y) * y) / z = (x * ((x * y) / x)) / z. [hyper(291,a,203,a)]. 6123 x \ L(L(y,z,u),w,v5) = x \ L(L(y,w,v5),z,u). [hyper(294,a,64,a)]. 6134 K(x,K(y,z)) * (y * x) = T(y * x,K(x,z)). [hyper(295,a,251,a,b,168,a(flip)),rewrite([251(3),74(6),75(6),4463(6)]),flip(a)]. 6159 K(L(x,y,z),u) = K(x,u). [hyper(295,a,179,a,b,154,a(flip)),rewrite([179(4),5537(5),154(5)])]. 6170 K((x / y) / z,u) = K(x / (z * y),u). [hyper(295,a,172,a,b,205,a),rewrite([205(7),6159(4)])]. 6171 K((x * y) \ z,T(u,y)) = K((x \ z) / y,u). [hyper(295,a,172,a,b,184,a(flip)),rewrite([52(3),6159(4)]),flip(a)]. 6174 T(x,L(y,z,u)) = T(x,y). [hyper(295,a,168,a,b,98,a),rewrite([5679(2),168(2)]),flip(a)]. 6175 K(x,y) * R(x,z,u) = R(T(x,y),z,u). [hyper(295,a,168,a,b,61,a),rewrite([170(2),6159(2)])]. 6200 R(x,y,z) * K(x,u) = R(T(x,u),y,z). [hyper(295,a,149,a,b,61,a),rewrite([170(3),6159(3)])]. 6205 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(295,a,238,a(flip),b,170,a),rewrite([170(4),6159(4),6159(7)]),flip(a)]. 6245 L(x * K(y,x),z,u) \ 1 = L(x,z,u) \ K(x,y). [back_rewrite(4607),rewrite([6159(3)]),flip(a)]. 6281 L(T(x,y),z,u) \ (y * K(x,y)) = L(x,z,u) \ y. [back_rewrite(2810),rewrite([6159(4)])]. 6288 (x * L(x \ y,z,u)) / (x * L(y / x,z,u)) = K(x \ y,x). [back_rewrite(2207),rewrite([6159(10),2399(9)])]. 6316 K((x * y) / (z * y),u) = K(x / z,u). [back_rewrite(999),rewrite([6159(3)]),flip(a)]. 6329 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [back_rewrite(612),rewrite([6159(5)])]. 6332 K(R(x,y,z),u) = K(x,u). [back_rewrite(170),rewrite([6159(4)])]. 6336 K(T(x,y) \ z,T(u,x)) = K(z / T(x,y),u). [back_rewrite(5938),rewrite([6170(4),149(2)]),flip(a)]. 6350 K(((T(x,y) \ z) * T(x,y)) / (y * x),u) = K((x \ z) / y,u). [back_rewrite(2787),rewrite([6171(11)])]. 6361 K((K(x,y) * (z / K(x,y))) / (u * K(x,y)),w) = K((K(y,x) * z) / u,w). [back_rewrite(1499),rewrite([6171(5),5754(2)]),flip(a)]. 6370 K(((x \ y) * x) / z,u) = K((x \ y) / (z / x),u). [back_rewrite(1424),rewrite([6171(6)]),flip(a)]. 6385 K((x * y) \ z,u) = K(y \ (x \ z),u). [back_rewrite(3128),rewrite([6316(6),177(4)]),flip(a)]. 6414 K((x \ ((x * y) * z)) / (y * z),u) = 1. [back_rewrite(1425),rewrite([6316(8)])]. 6425 L(x,y,z) * T(u,T(x,w)) = T(u * L(x,y,z),K(x,w)). [back_rewrite(5591),rewrite([6174(4)])]. 6430 x * L(y * K(x,y),z,u) = T(x,y) * L(y,z,u). [back_rewrite(4606),rewrite([6174(2)]),flip(a)]. 6442 K(R(x,y,z) / u,T(w,x)) = K(u \ R(x,y,z),w). [back_rewrite(3552),rewrite([6174(4)])]. 6449 T(x,T(T(y,z * u),(z * w) / (z * u))) = T(x,T(T(y,z * u),u \ w)). [back_rewrite(2970),rewrite([6174(5)]),flip(a)]. 6471 T(x,y) * K(x * R(y,z,u),x) = R(x,R(y,z,u),x). [back_rewrite(1712),rewrite([6174(2)])]. 6484 K(x \ 1,x) * (L(x,y,z) \ 1) = T(L(x,y,z) \ 1,x). [back_rewrite(940),rewrite([6174(5)]),flip(a)]. 6488 T(x,y) * L(T(y,x),z,u) = x * L(y,z,u). [back_rewrite(703),rewrite([6174(2)])]. 6492 T(x,R(y,z,u)) = T(x,y). [back_rewrite(98),rewrite([6174(4)])]. 6493 R(T(x,x * y),y,x) = T(x,y). [back_rewrite(5929),rewrite([6175(4)])]. 6507 K(K(x,y) * (x \ z),T(u,x)) = K((K(x,y) * z) / x,u). [back_rewrite(4479),rewrite([6361(8),6385(9),5754(7)]),flip(a)]. 6510 K((T(x,y) \ z) / T(y,x),u) = K((x \ z) / y,u). [back_rewrite(6350),rewrite([6370(7),691(5)])]. 6545 K(K(x,y) * (z \ 1),u) = K(z \ K(x,y),u). [back_rewrite(5810),rewrite([6385(5),5754(4)])]. 6546 K((K(x,y) * z) / (x * y),u) = K(x \ (y \ z),T(u,x * y)). [back_rewrite(5795),rewrite([6385(10)])]. 6592 (a(x,y,z) \ u) * a(x,y,z) = u. [hyper(270,a,58,a,b,561,a(flip))]. 6594 K(a(x,y,z) * u,w) = K(u * a(x,y,z),w). [para(561(a,1),181(a,1,2)),flip(a)]. 6595 x * K(x * a(y,z,u),x) = R(x,a(y,z,u),x). [para(561(a,1),192(a,1,1))]. 6597 K(x,a(y,z,u) * w) = K(x,w * a(y,z,u)). [para(561(a,1),229(a,1,2,1)),flip(a)]. 6599 K(a(x,y,z) / u,w) = K(u \ a(x,y,z),w). [para(561(a,1),242(a,1,2))]. 6602 x * (y * T(y \ (x \ z),x * y)) = ((x * y) \ z) * (x * y). [hyper(295,a,255,a(flip),b,410,a)]. 6609 T((x * x) * y,x * x) = y * (x * x). [hyper(266,a,7,a(flip),b,410,a),flip(a)]. 6615 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(410(a,1),54(a,1,1,2))]. 6618 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(410(a,1),56(a,1,1))]. 6619 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(410(a,1),56(a,1,2,2))]. 6621 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(410(a,1),57(a,1,1))]. 6622 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(410(a,1),57(a,1,2))]. 6623 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(61(a,1),410(a,1,2))]. 6624 x \ T(x * K(y,z),K(y,z)) = K(y,T(z,K(z,y) * x)). [para(410(a,1),153(a,1,2,1)),rewrite([2598(9)])]. 6638 x * y != z | y * u != z | T(x,y) = u. [para(410(a,1),266(a,1))]. 6641 x * y != z * x | T(z,x) = y. [para(410(a,1),275(a,1)),flip(a)]. 6657 (x * (y * z)) / L(z,y,x) = x * y. [hyper(271,a,56,a,b,340,a),flip(a)]. 6658 T(x * y,K(x,y)) = x * y. [hyper(271,a,55,a,b,340,a),rewrite([1137(4)]),flip(a)]. 6662 R(x,y,z) \ ((x * y) * z) = y * z. [para(57(a,1),340(a,1,1))]. 6664 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [para(88(a,1),340(a,1,1))]. 6673 (x / y) * T(y,z) = x * K((x \ (x / y)) \ 1,z). [para(340(a,1),236(a,1,2,1))]. 6683 x \ y != z | y / z = x. [para(340(a,1),280(a,1)),flip(a)]. 6687 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [back_rewrite(2428),rewrite([6664(7)]),flip(a)]. 6692 L(x,y,z) * (u * K(x,u)) = L(T(x,u),y,z) * u. [para(6159(a,1),210(a,1,2,2)),rewrite([60(6)])]. 6696 L(x,y,z) != a(u,a(w,v5,v6),v7) | a(u,a(w,v5,v6),v7) = x. [para(5529(a,1),282(a,1)),flip(a)]. 6706 x / a(y,z,u) = a(y,z,u) \ x. [hyper(295,a,561,a(flip),b,412,a)]. 6713 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [para(57(a,1),412(a,1,1)),rewrite([61(3)]),flip(a)]. 6715 T(x,K(y,z) * (u / K(z,y))) = T(x,u). [para(412(a,1),153(a,1,2,1,2)),rewrite([5754(4),5927(8)]),flip(a)]. 6717 (x / y) / T(y,y \ x) = (y \ x) / y. [para(412(a,1),174(a,1,1)),rewrite([3334(5)]),flip(a)]. 6718 T(x,x \ y) / (y / x) = x / (x \ y). [para(412(a,1),174(a,2,2)),rewrite([3334(2)])]. 6719 (K(x,y) * z) * K(x,y) = K(x,y) * (z / K(y,x)). [para(412(a,1),175(a,1,1)),rewrite([5754(2)])]. 6720 K(x / y,y \ z) = K(y \ x,z / y). [para(412(a,1),177(a,1,2))]. 6721 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,y \ x). [para(412(a,1),178(a,1,1)),rewrite([412(3)]),flip(a)]. 6724 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(412(a,1),223(a,1,1,2)),flip(a)]. 6727 K(x / y,x \ z) = K(y \ x,z / x). [para(412(a,1),242(a,1,2))]. 6731 T(x,y) != y \ z | z / y = x. [para(412(a,1),281(a,1)),flip(a)]. 6737 K(x \ y,y / x) = 1. [back_rewrite(5552),rewrite([6720(3)])]. 6738 T(x,a(y,z,u) * K(w,v5)) = T(x,K(v5,w) * a(y,z,u)). [hyper(5081,a,153,a(flip),b,6706,a),rewrite([562(7),547(7),562(8),6706(10),600(10)]),flip(a)]. 6743 (a(x,y,z) \ u) \ u = a(x,y,z). [para(6706(a,1),340(a,1,1))]. 6775 K(x * y,y) = K(y * x,y). [para(409(a,1),181(a,1,2))]. 6779 K(x / y,x) = K(y \ x,x). [para(409(a,1),242(a,1,2))]. 6833 K(x,T(y,z)) * T((z * y) / z,x) = (z * y) / z. [hyper(5083,a,223,a,b,168,a),rewrite([171(3),223(5),5754(6),1039(2)])]. 6911 x \ (y * (x * (z * z))) = (z * z) * T(y,x * (z * z)). [hyper(5083,a,410,a(flip),b,6,a(flip))]. 6927 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [hyper(5083,a,255,a(flip),b,236,a(flip))]. 6958 T(x,y) \ K(x,y) = x \ 1. [hyper(5083,a,219,a(flip),b,180,a(flip)),rewrite([49(3),82(3)])]. 7049 x != y | z != y | z \ x = 1. [para(49(a,1),5083(b,1))]. 7088 x != y | z * u != y | T(z,u) = u \ x. [para(410(a,1),5083(b,1)),flip(c)]. 7126 T((x * y) / x,K(y,z)) = (x * y) / x. [hyper(7088,a,223,a,b,149,a),rewrite([171(5),1391(5),171(7),223(9),5754(10),1039(6),6833(10)])]. 7138 K(x,T(y,z)) * (z * (x / z)) = T(z * (x / z),T(y,x)). [hyper(7088,a,197,a,b,164,a),rewrite([568(7),4743(5),2948(5),197(10),5754(10),1286(7)]),flip(a)]. 7188 (x / K(y,z)) \ (K(z,y) * x) = K(y,K(z,K(z,y) * x)). [hyper(7088,a,412,a(flip),b,155,a),rewrite([1928(4),5754(2),2598(7),2598(6),1373(7),5754(8)]),flip(a)]. 7197 K(x,T(y * z,y)) = K(x,z * y). [hyper(7088,a,262,a(flip),b,157,a(flip)),rewrite([2598(4),2717(4),959(3),82(7),1039(5)]),flip(a)]. 7220 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [hyper(7088,a,219,a(flip),b,180,a(flip)),rewrite([49(8),82(8)]),flip(a)]. 7275 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(7088,a,48,a(flip),b,236,a),rewrite([324(9),6958(11)])]. 7334 (T(x,y) * z) / T(x,T(x,y) * (x \ z)) = T(x,y) * (x \ z). [hyper(5081,a,201,a(flip),b,2244,a),rewrite([201(8)]),flip(a)]. 7336 (x * (y * z)) / T(x * y,z) = L(z,y,x). [hyper(5081,a,56,a(flip),b,2244,a),rewrite([56(8),6174(6)]),flip(a)]. 7337 ((x * y) * z) / (x * (y * z)) = a(x,y,z). [hyper(5081,a,54,a(flip),b,2244,a),rewrite([54(10),561(7)]),flip(a)]. 7339 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(61(a,1),2244(a,1,2))]. 7392 (x * (y * z)) \ ((u * u) * ((((u * u) \ x) * y) * z)) = a(x,y,z). [para(51(a,1),342(a,2,1)),rewrite([325(6)])]. 7452 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(269,a,52,a,b,5582,a),rewrite([562(4),175(6)])]. 7460 (a(x,y,z) * u) * w = (u * a(x,y,z)) * w. [para(11(a,1),5582(a,1,2)),rewrite([336(5),11(8),408(8)])]. 7461 (K(x,K(y,z)) * u) * w = (u * K(x,K(y,z))) * w. [para(12(a,1),5582(a,1,2)),rewrite([336(6),12(11),408(10)]),flip(a)]. 7465 ((x * (y / x)) * z) / K(x,x \ y) = T(y * z,K(x,x \ y)). [para(53(a,1),5582(a,2,1,1)),rewrite([238(5),238(9)])]. 7471 T(x * y,T(z,y)) / K(x,y) = T(T(y * x,z),K(x,y)). [para(149(a,1),5582(a,2,1)),rewrite([1295(4)])]. 7472 T(x,K(y,z) * ((y * z) * u)) = T(x,(z * y) * u). [para(5582(a,2),153(a,1,2,1,2)),rewrite([5582(6),562(6),562(9),153(10),7452(4)]),flip(a)]. 7578 (x * y) \ ((x * (a(z,u,w) \ y)) * a(z,u,w)) = a(x,a(z,u,w) \ y,a(z,u,w)). [para(6592(a,1),54(a,1,1,2))]. 7581 L(a(x,y,z),a(x,y,z) \ u,w) = (w * (a(x,y,z) \ u)) \ (w * u). [para(6592(a,1),56(a,1,2,2)),flip(a)]. 7588 (a(x,y,z) \ u) * (a(x,y,z) * T(a(x,y,z) \ ((a(x,y,z) \ u) \ w),v5)) = u * T(u \ w,v5). [para(6592(a,1),255(a,1,1)),rewrite([6592(4)]),flip(a)]. 7596 a(x,x \ y,z) \ (y * z) = x * ((x \ y) * z). [hyper(271,a,6743,a,b,353,a)]. 7601 (x * ((x \ 1) * y)) \ y = a(x,x \ 1,y). [para(48(a,1),353(a,1,2))]. 7603 (x * ((x \ y) * (y \ z))) \ z = a(x,x \ y,y \ z). [para(51(a,1),353(a,1,2))]. 7607 ((x * y) * (L(z,y,x) * u)) \ ((x * (y * z)) * u) = a(x * y,L(z,y,x),u). [para(56(a,1),353(a,1,1,2,1)),rewrite([56(13)])]. 7674 (x * x) * ((((x * x) \ y) * z) * u) = (y * z) * u. [hyper(5457,a,7392,a),rewrite([351(4)]),flip(a)]. 7681 ((x * (x * y)) * (z * u)) \ ((x * x) * ((L(y,x,x) * z) * u)) = a(x * (x * y),z,u). [para(56(a,1),7392(a,1,2,2,1,1))]. 7687 a(x,y,z) * (x * (y * z)) = (x * y) * z. [para(7392(a,1),165(a,2,2,1)),rewrite([7674(6),7337(5),547(2),547(8),351(8)])]. 7709 a(x,y,T(z,x * y)) \ (z * (x * y)) = x * (y * T(z,x * y)). [hyper(5083,a,410,a(flip),b,7687,a)]. 7713 x * (y * K(z,z \ (x * y))) = z * ((x * y) / z). [hyper(5083,a,197,a(flip),b,7687,a),rewrite([10(4),324(5)]),flip(a)]. 7714 x * (y * K(x * y,z)) = T(x * y,z). [hyper(5083,a,149,a(flip),b,7687,a),rewrite([10(3),324(4)]),flip(a)]. 7724 (K(x,y) * z) * u = K(x,y) * (z * u). [para(8(a,1),7687(a,1,1)),rewrite([48(5)]),flip(a)]. 7725 (x * K(y,z)) * u = x * (K(y,z) * u). [para(9(a,1),7687(a,1,1)),rewrite([48(5)]),flip(a)]. 7726 (x * y) * K(z,u) = x * (y * K(z,u)). [para(10(a,1),7687(a,1,1)),rewrite([48(5)]),flip(a)]. 7727 (a(a(x,y,z),u,w) * v5) * v6 = a(a(x,y,z),u,w) * (v5 * v6). [para(39(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 7728 (a(x,a(y,z,u),w) * v5) * v6 = a(x,a(y,z,u),w) * (v5 * v6). [para(40(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 7729 (a(x,y,a(z,u,w)) * v5) * v6 = a(x,y,a(z,u,w)) * (v5 * v6). [para(41(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 7730 (x * a(a(y,z,u),w,v5)) * v6 = x * (a(a(y,z,u),w,v5) * v6). [para(42(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 7731 (x * a(y,a(z,u,w),v5)) * v6 = x * (a(y,a(z,u,w),v5) * v6). [para(43(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 7732 (x * a(y,z,a(u,w,v5))) * v6 = x * (a(y,z,a(u,w,v5)) * v6). [para(44(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 7733 (x * y) * a(a(z,u,w),v5,v6) = x * (y * a(a(z,u,w),v5,v6)). [para(45(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 7734 (x * y) * a(z,a(u,w,v5),v6) = x * (y * a(z,a(u,w,v5),v6)). [para(46(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 7735 (x * y) * a(z,u,a(w,v5,v6)) = x * (y * a(z,u,a(w,v5,v6))). [para(47(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 7748 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(127(a,1),7687(a,1,1)),rewrite([48(5)]),flip(a)]. 7749 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(128(a,1),7687(a,1,1)),rewrite([48(5)]),flip(a)]. 7750 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(129(a,1),7687(a,1,1)),rewrite([48(5)]),flip(a)]. 7751 (x * a(y,z,u)) * x = x * (a(y,z,u) * x). [para(130(a,1),7687(a,1,1)),rewrite([48(5)]),flip(a)]. 7752 ((x * y) / x) * z = y * (K(x,y) * z). [para(147(a,2),7687(a,2,1)),rewrite([9(2),48(5)]),flip(a)]. 7753 x * (K(x,y) * z) = T(x,y) * z. [para(149(a,1),7687(a,2,1)),rewrite([9(2),48(5)])]. 7754 K(x,K(y,z)) * (y * u) = T(y,K(x,z)) * u. [para(152(a,1),7687(a,2,1)),rewrite([8(3),48(6)])]. 7755 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(155(a,1),7687(a,2,1)),rewrite([8(3),48(6)])]. 7757 a(x,T(y,z),T(z,y)) * (x * (y * z)) = (x * T(y,z)) * T(z,y). [para(159(a,1),7687(a,1,2,2))]. 7760 T(x,y) * (K(y,x) * z) = x * z. [para(164(a,1),7687(a,2,1)),rewrite([9(3),48(6)])]. 7763 K(x,y) * (x * z) = T(x,y) * z. [para(168(a,1),7687(a,2,1)),rewrite([8(2),48(5)])]. 7768 a(x * K(y * z,x),y,z) * ((y * z) * x) = (x * (K(y * z,x) * y)) * z. [para(176(a,1),7687(a,1,2)),rewrite([7725(11)])]. 7770 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(178(a,1),7687(a,2,1)),rewrite([9(4),48(7)])]. 7772 T(x,y * (z * K(u,y * z))) = T(x,T(y * z,u)). [para(7687(a,2),186(a,1,2)),rewrite([10(3),48(6)])]. 7776 x * (K(y,y \ x) * z) = (y * (x / y)) * z. [para(197(a,1),7687(a,2,1)),rewrite([9(3),48(6)])]. 7788 T(x,K(y,z)) * (K(y,z) * u) = K(y,z) * (x * u). [para(227(a,1),7687(a,2,1)),rewrite([9(4),48(7),7724(8)])]. 7795 a(x,T(y,z),T(T(z,y),u)) * (x * (T(z,u) * T(y,z))) = (x * T(y,z)) * T(T(z,y),u). [para(239(a,1),7687(a,1,2,2))]. 7862 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [back_rewrite(7461),rewrite([7724(4),7725(8)])]. 7866 K(x,y) * (z / K(y,x)) = K(x,y) * (z * K(x,y)). [back_rewrite(6719),rewrite([7726(4)]),flip(a)]. 7872 K(x,y) * (z / K(x,y)) = T(z,K(y,x)). [back_rewrite(5931),rewrite([7726(4),5739(4)]),flip(a)]. 7877 (K(x,y) * (K(z,u) * w)) / K(z,u) = T(K(x,y) * w,K(z,u)). [back_rewrite(5588),rewrite([7725(4)])]. 7892 T(x,T(y * (K(z,u) * w),K(u,z) * w)) = T(x,K(z,u) * (w * y)). [back_rewrite(4745),rewrite([7724(10)])]. 7894 K(x,K(y,z) * u) * (K(z,y) * (u * x)) = x * (K(z,y) * u). [back_rewrite(4727),rewrite([7724(6)])]. 7945 K(x * (K(y,z) * u),T(w,K(z,y) * u)) = K(K(y,z) * (u * x),w). [back_rewrite(1299),rewrite([7724(10)])]. 7984 R(x,y,z) * T(u,x) = u * R(x,y,z). [back_rewrite(5645),rewrite([7725(4),168(3)])]. 8019 T(T(x * y,K(y,z)),K(x,z)) = x * y. [back_rewrite(4127),rewrite([7725(4),168(3),251(3)])]. 8064 x * (K(y,x) * K(y,x)) = (T(y,x) * x) / y. [back_rewrite(2287),rewrite([7726(4)])]. 8082 x * (T(y * y,x) * z) = (y * y) * (x * z). [back_rewrite(1140),rewrite([7725(6),7763(5)])]. 8145 K(x * (y * (z * (K(u,K(w,v5)) * K(v6,x * (y * z))))),v7) = K(x * (y * z),T(v7,v6)). [back_rewrite(4652),rewrite([7726(9),7726(8),7726(7)])]. 8204 x * (y * K(y * x,z)) = T(x * y,T(z,y)). [back_rewrite(1295),rewrite([7726(4)])]. 8214 T(x,K(y,z)) * y = T(x * y,K(y,z)). [back_rewrite(6134),rewrite([7754(4)])]. 8226 T(x,K(y,z) * (u * K(y,z))) = T(x,u). [back_rewrite(6715),rewrite([7866(4)])]. 8240 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [back_rewrite(5939),rewrite([7872(7),562(5)])]. 8241 x * K(y,K(z,K(z,y) * x)) = T(x,K(y,z)). [back_rewrite(5928),rewrite([7872(9),562(7)])]. 8249 a(x,y,a(z,u,w)) \ (v5 * (v6 * a(x,y,a(z,u,w)))) = v5 * v6. [hyper(7088,a,7735,a,b,7735,a),rewrite([561(4),7735(7)]),flip(a)]. 8254 (x / (y * a(z,u,a(w,v5,v6)))) * y = a(z,u,a(w,v5,v6)) \ x. [hyper(7088,a,53,a(flip),b,7735,a),rewrite([561(8)])]. 8261 T((x * a(y,z,a(u,w,v5))) \ v6,v7) = T(a(y,z,a(u,w,v5)) \ (x \ v6),v7). [hyper(5083,a,7735,a,b,165,a(flip)),rewrite([7735(12),165(12),255(12),56(13),5531(8)]),flip(a)]. 8265 (x * a(y,z,a(u,w,v5))) \ (a(y,z,a(u,w,v5)) * (v6 * x)) = T(v6,x * a(y,z,a(u,w,v5))). [hyper(7088,a,410,a,b,7735,a(flip)),rewrite([561(13)]),flip(a)]. 8270 (x * y) * (z * (z * a(u,w,a(v5,v6,v7)))) = x * (y * (z * (z * a(u,w,a(v5,v6,v7))))). [para(7(a,1),7735(a,1,1)),rewrite([7735(6),7735(5),7735(4),7735(11)]),flip(a)]. 8271 x * ((x \ y) * a(z,u,a(w,v5,v6))) = y * a(z,u,a(w,v5,v6)). [para(51(a,1),7735(a,1,1)),flip(a)]. 8278 (x * (a(y,z,a(u,w,v5)) * v6)) \ (v6 * (x * a(y,z,a(u,w,v5)))) = K(v6,x * a(y,z,a(u,w,v5))). [para(7735(a,2),55(a,1,2)),rewrite([7732(4),7735(8)])]. 8281 R(x,y,a(z,u,a(w,v5,v6))) = x. [para(7735(a,1),57(a,1,1)),rewrite([52(8)]),flip(a)]. 8299 T(x,a(y,z,a(u,w,v5)) * (v6 * v7)) = T(x,v6 * (v7 * a(y,z,a(u,w,v5)))). [para(7735(a,1),220(a,2,2)),rewrite([547(4)])]. 8303 K(x,a(y,z,a(u,w,v5)) * (v6 * v7)) = K(x,v6 * (v7 * a(y,z,a(u,w,v5)))). [para(7735(a,1),229(a,2,2)),rewrite([547(4)])]. 8319 (x * (y * a(z,u,a(w,v5,v6)))) * v7 = a(z,u,a(w,v5,v6)) * ((x * y) * v7). [para(7735(a,1),5582(a,1,1,1)),rewrite([70(9),336(7),7729(10),70(14),408(12)])]. 8362 a(x,y,a(z,u,w)) * (v5 * v6) = v5 * (a(x,y,a(z,u,w)) * v6). [para(48(a,1),8319(a,1,1,2)),rewrite([7732(4),49(8)]),flip(a)]. 8364 a(x,y,a(z,u,w)) * ((a(x,y,a(z,u,w)) \ v5) * v6) = v5 * v6. [para(53(a,1),8319(a,1,1)),rewrite([8254(8)]),flip(a)]. 8385 (x * (a(y,z,a(u,w,v5)) * v6)) * v7 = a(y,z,a(u,w,v5)) * ((x * v6) * v7). [para(243(a,2),8319(a,1,1,2)),rewrite([70(3),48(5)])]. 8391 T(x,T(a(y,z,a(u,w,v5)) * ((v6 * v7) * v8),v8)) = T(x,v8 * (v6 * (v7 * a(y,z,a(u,w,v5))))). [para(8319(a,1),262(a,1,2,1))]. 8410 a(x,y,a(z,u,w)) \ (v5 * (a(x,y,a(z,u,w)) * v6)) = v5 * v6. [hyper(5083,a,8385,a,b,210,a(flip)),rewrite([547(4),11(10),49(8)])]. 8413 (x * (a(y,z,a(u,w,v5)) * (v6 * v7))) \ (a(y,z,a(u,w,v5)) * ((x * v6) * v7)) = a(x,a(y,z,a(u,w,v5)) * v6,v7). [hyper(7088,a,8385,a(flip),b,7687,a),rewrite([7729(8),547(10),7729(8)]),flip(a)]. 8415 T(x,a(y,z,a(u,w,v5)) * v6) = T(x,v6). [hyper(7088,a,8385,a(flip),b,49,a(flip)),rewrite([49(12),6619(12),5534(8)])]. 8433 x * (a(y,z,a(u,w,v5)) * (v6 * K(v7,v7 \ (x * v6)))) = a(y,z,a(u,w,v5)) * (v7 * ((x * v6) / v7)). [para(197(a,1),8385(a,2,2)),rewrite([7726(8),7726(7)])]. 8439 K(x,a(y,z,a(u,w,v5)) * (v6 * v7)) = K(x,v6 * (a(y,z,a(u,w,v5)) * v7)). [para(8385(a,2),232(a,1,2)),rewrite([7726(7),7726(6),260(8)]),flip(a)]. 8450 T(x,y * (z * a(u,w,a(v5,v6,v7)))) = T(x,y * z). [back_rewrite(8299),rewrite([8415(5)]),flip(a)]. 8456 (x * y) \ (T(x,z) * y) = K(x,T(z,y)). [hyper(7088,a,7763,a,b,7763,a),rewrite([2598(3),3545(3),7763(6)]),flip(a)]. 8475 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(7088,a,165,a(flip),b,7763,a),rewrite([53(4),2598(3),242(3),53(4),3171(6)]),flip(a)]. 8487 K(x,y) * (T(y,x) * z) = y * z. [hyper(5083,a,7763,a,b,7763,a),rewrite([7763(4),5754(4)])]. 8495 K(x,y) * (z * T(y,x)) = T(z * y,K(y,x)). [hyper(5083,a,410,a(flip),b,7763,a),rewrite([5754(4),251(7)])]. 8496 K(x,y) * ((T(y,x) * T(T(y,x) \ z,u)) * w) = y * (w * T(w \ (T(y,x) \ (z * w)),u)). [hyper(5083,a,265,a(flip),b,7763,a),rewrite([5754(8)])]. 8504 x * (T(x,y) \ z) = K(y,x) * z. [hyper(5083,a,51,a(flip),b,7763,a),rewrite([5754(2)]),flip(a)]. 8507 (x \ y) \ (K(x,z) * y) = T((x \ y) \ y,z). [hyper(5083,a,7763,a,b,180,a),rewrite([51(4)])]. 8513 T(x,y) * T(z,x) = K(x,y) * (z * x). [hyper(5081,a,239,a,b,7763,a),rewrite([239(4),410(6)])]. 8515 T(x,y) * (x \ z) = K(x,y) * z. [hyper(5081,a,201,a,b,7763,a),rewrite([201(3),51(6)])]. 8517 K(x,y) * (T(y,z) * x) = K(y,z) * (x * y). [hyper(5081,a,239,a(flip),b,7763,a),rewrite([8513(3),845(7)]),flip(a)]. 8523 T(x,K(y,x * z)) * z = T(x * z,K(x,y)). [hyper(295,a,155,a(flip),b,7763,a),flip(a)]. 8526 x \ T(y * x,K(y,z)) = T(T(y,x),K(z,y * x)). [hyper(7088,a,155,a(flip),b,7763,a(flip)),rewrite([59(4)]),flip(a)]. 8545 K(x,y) * (L(x,z,u) * w) = L(T(x,y),z,u) * w. [para(60(a,1),7763(a,2,1)),rewrite([6159(2)])]. 8546 K(x,y) * (R(x,z,u) * w) = R(T(x,y),z,u) * w. [para(61(a,1),7763(a,2,1)),rewrite([6332(2)])]. 8547 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(73(a,1),7763(a,1,1)),rewrite([2598(7)])]. 8553 K(x,y) * ((z * x) / z) = T(x,y) * K(z,x). [para(147(a,2),7763(a,1,2))]. 8554 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(7763(a,1),153(a,2,2)),rewrite([562(4),562(7),153(8)])]. 8558 T(x,y * (z * K(y,u))) = T(x,T(y,u) * z). [para(7763(a,1),162(a,1,2)),rewrite([7726(6)]),flip(a)]. 8559 T(x,T(y,z) * K(u,w)) = T(x,K(u,w) * T(y,z)). [para(7763(a,2),162(a,2,2)),rewrite([7763(8)]),flip(a)]. 8564 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(175(a,1),7763(a,1,2)),rewrite([1039(3),1671(3),1130(9)])]. 8570 K(x * (y * K(x,z)),u) = K(T(x,z) * y,u). [para(7763(a,1),181(a,2,1)),rewrite([7726(3),1671(6)])]. 8574 K(x,T(y,z)) * (T(x * K(y,x),z) * u) = T(x,z) * u. [para(189(a,1),7763(a,2,1)),rewrite([1039(4),173(4),1343(2)])]. 8579 K(x,y * (T(z,K(u,w)) * v5)) = K(x,y * (z * v5)). [para(7763(a,1),202(a,1,2,2))]. 8583 K(x,T(y,K(z,u)) * w) = K(x,y * w). [para(7763(a,1),205(a,1,2))]. 8587 T(x,T(y,K(z,u)) * w) = T(x,y * w). [para(7763(a,1),213(a,1,2))]. 8597 K(x,y) * (T(x,y) * z) = T(T(x,y),y) * z. [para(247(a,2),7763(a,2,1)),rewrite([1039(2),409(1),247(7)])]. 8599 K(x * (y * K(z,x)),u) = K(T(x,z) * y,u). [para(7763(a,1),249(a,1,1)),rewrite([7726(6)]),flip(a)]. 8606 K(x,T(y,z)) * T(x * K(y,x),u) = T(T(x,T(u,y)),K(y,z)). [para(253(a,1),7763(a,1,2)),rewrite([73(2),1404(5),2598(6)]),flip(a)]. 8611 K(x,K(y,z) * (z * u)) = K(x,T(z,y) * u). [para(7763(a,1),261(a,1,2)),flip(a)]. 8618 T(x,y) * (z * T(z \ (x \ (u * z)),w)) = K(x,y) * ((x * T(x \ u,w)) * z). [para(265(a,1),7763(a,1,2)),flip(a)]. 8628 T(a(x,y,z) \ u,w) * a(x,y,z) = K(a(x,y,z) \ u,w) * u. [para(6592(a,1),7763(a,1,2)),flip(a)]. 8630 K(x,y) * ((x * z) * u) = (T(x,y) * z) * u. [para(7763(a,1),7687(a,2,1)),rewrite([8(3),48(6)])]. 8693 x \ (y * (z * T(z \ (y \ x),u))) = K(z \ (y \ x),u). [back_rewrite(6927),rewrite([8475(11),6385(9)])]. 8700 (x / y) * T(y,z) = x * K(y,z). [back_rewrite(6673),rewrite([8475(8),340(5)])]. 8711 T(x,y * T(K(z,K(u,w)) * v5,v6)) = T(x,y * T(v5,v6)). [back_rewrite(5900),rewrite([8475(6),5754(3),73(2),75(2),74(2),1365(4),149(2)]),flip(a)]. 8717 K((x / y) \ 1,z) * y = y * K(x \ y,z). [back_rewrite(5596),rewrite([8475(9)])]. 8749 x * K((y / x) \ 1,z) = K(y \ x,z) * x. [back_rewrite(3614),rewrite([8475(4)]),flip(a)]. 8750 K((x / y) \ 1,z) = K(y / x,z). [back_rewrite(3613),rewrite([8475(5),3588(3)]),flip(a)]. 8764 x * T(x \ y,z) = y * K(x \ y,z). [back_rewrite(3250),rewrite([8475(6),959(4)]),flip(a)]. 8779 (x * K(y \ x,z)) / y = T(x / y,z). [back_rewrite(3211),rewrite([8475(4)])]. 8809 a(x,T(y,z),T(T(z,y),u)) * (x * (K(z,u) * (y * z))) = (x * T(y,z)) * T(T(z,y),u). [back_rewrite(7795),rewrite([8513(7)])]. 8870 T(T(x,y),z) * T(T(y,T(x,z)),u) = K(y,u) * (T(x,z) * y). [back_rewrite(3387),rewrite([8513(10)])]. 8884 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [back_rewrite(239),rewrite([8513(7)])]. 8891 (T(x,y) * z) / T(x,K(x,y) * z) = K(x,y) * z. [back_rewrite(7334),rewrite([8515(5),8515(9)])]. 8923 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [back_rewrite(2901),rewrite([8515(4)]),flip(a)]. 8936 K(x,y) * (T(x,y) \ z) = x \ z. [back_rewrite(1949),rewrite([8515(5)])]. 8951 x \ (T(x,y) * z) = K(x,y) * z. [back_rewrite(201),rewrite([8515(6)])]. 8974 T(x,y) * (z * T(z \ (x \ (u * z)),w)) = (T(x,y) * T(x \ u,w)) * z. [back_rewrite(8618),rewrite([8630(13)])]. 8978 T(x,(T(y,z) * z) * u) = T(x,(z * y) * u). [back_rewrite(7472),rewrite([8630(4)])]. 9005 K(x \ y,z) * y = y * K(y / x,z). [back_rewrite(8749),rewrite([8750(4)]),flip(a)]. 9008 K(x / y,z) * x = x * K(y \ x,z). [back_rewrite(8717),rewrite([8750(4)])]. 9033 K(x,y) * K(x * y,x) = x \ R(x,y,x). [back_rewrite(2905),rewrite([8923(4)])]. 9040 T(a(x,y,z) \ u,w) * a(x,y,z) = u * K(a(x,y,z) \ u,w). [back_rewrite(8628),rewrite([9005(9),6706(7)])]. 9084 T(x,y) \ (x * z) = K(y,x) * z. [hyper(5083,a,7760,a,b,7760,a),rewrite([7760(5)])]. 9085 K(x,T(y,z)) * (K(y,x) * u) = K(y,K(x,z)) * u. [hyper(5083,a,227,a,b,7760,a),rewrite([2598(2),227(6),5754(5),1039(2),74(7),75(7)])]. 9090 K(x,T(y,z)) * (K(u,w) * K(y,x)) = K(y,K(x,z)) * K(u,w). [hyper(5083,a,76,a,b,7760,a),rewrite([2598(2),5754(6),1039(2),74(8),75(8)])]. 9095 T(x,y) \ (z * x) = K(y,x) * T(z,x). [hyper(5083,a,410,a(flip),b,7760,a)]. 9106 T(x,y) \ (z * (x / z)) = K(y,x) * K(z,z \ x). [hyper(5083,a,197,a(flip),b,7760,a)]. 9113 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(5083,a,51,a(flip),b,7760,a),flip(a)]. 9124 K(x,T(y,z)) * (K(x,K(y,z)) * u) = K(x,y) * u. [hyper(5081,a,227,a,b,7760,a),rewrite([227(4),2598(4),74(6),75(6)]),flip(a)]. 9138 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(5083,a,7760,a(flip),b,7763,a),rewrite([5754(3)])]. 9147 L(K(x,y) * z,T(y,x),u) = (u * T(y,x)) \ (u * (y * z)). [para(7760(a,1),56(a,1,2,2)),flip(a)]. 9165 T(x,T(y,z)) * (K(y,T(x,z)) * u) = x * u. [para(171(a,1),7760(a,1,2,1)),rewrite([1518(3)])]. 9175 T(x,y) * (z * K(y,x)) = x * T(z,K(x,y)). [para(203(a,2),7760(a,1,2)),rewrite([2598(3),2729(4),1122(8),562(6)])]. 9183 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(238(a,1),7760(a,1,2,1)),rewrite([412(2)])]. 9213 T(x,y) * (T(y,x) * z) = x * (y * z). [para(7763(a,1),7760(a,1,2))]. 9216 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [back_rewrite(5721),rewrite([9085(6),74(3)])]. 9240 K(x,y * (K(z,y) * u)) = K(x,T(y,z) * u). [back_rewrite(8611),rewrite([9138(3)])]. 9241 T(x,y * (K(z,y) * u)) = T(x,T(y,z) * u). [back_rewrite(8554),rewrite([9138(3)])]. 9262 x \ (a(y,z,a(u,w,v5)) * (v6 * x)) = T(a(y,z,a(u,w,v5)) * v6,x). [hyper(7088,a,8362,a,b,7687,a(flip)),rewrite([41(9),48(9)]),flip(a)]. 9268 a(x,y,a(z,u,w)) \ T(a(x,y,a(z,u,w)) * v5,v6) = K(a(x,y,a(z,u,w)) * v5,v6) * v5. [hyper(5083,a,168,a(flip),b,8362,a)]. 9269 T(x / (a(y,z,a(u,w,v5)) * v6),v7) * v6 = v6 * T(v6 \ (a(y,z,a(u,w,v5)) \ x),v7). [hyper(5083,a,165,a(flip),b,8362,a),rewrite([255(11),50(12)]),flip(a)]. 9295 x \ ((x * y) * a(z,u,w)) = a(x,y,a(z,u,w)) * (y * a(z,u,w)). [hyper(5083,a,7687,a(flip),b,8362,a(flip))]. 9304 a(x,y,a(z,u,w)) * (v5 * (a(x,y,a(z,u,w)) \ v6)) = v5 * v6. [para(51(a,1),8362(a,2,2))]. 9310 (a(x,y,a(z,u,w)) * (v5 * v6)) \ (a(x,y,a(z,u,w)) * (v6 * v5)) = K(a(x,y,a(z,u,w)) * v6,v5). [para(8362(a,2),55(a,1,1)),rewrite([7729(8)])]. 9311 K(a(x,y,a(z,u,w)) * v5,v6) = K(v5,a(x,y,a(z,u,w)) * v6). [para(8362(a,2),55(a,1,2)),rewrite([7729(4),9310(9)])]. 9314 (x * y) \ (x * (a(z,u,a(w,v5,v6)) * (y * v7))) = L(a(z,u,a(w,v5,v6)) * v7,y,x). [para(8362(a,2),56(a,1,2,2))]. 9331 a(x,y,a(z,u,w)) * T(v5,v6) = T(a(x,y,a(z,u,w)) * v5,v6). [para(8362(a,2),168(a,1)),rewrite([9311(6),168(7),8415(6)])]. 9338 K(x * (a(y,z,a(u,w,v5)) * v6),v7) = K(x * v6,a(y,z,a(u,w,v5)) * v7). [para(8362(a,1),183(a,2,1)),rewrite([183(8),9311(5)]),flip(a)]. 9349 K(x * a(y,z,a(u,w,v5)),v6) = K(x,a(y,z,a(u,w,v5)) * v6). [para(8362(a,1),212(a,1,1)),rewrite([212(7),9311(8)])]. 9352 T(x,y * (a(z,u,a(w,v5,v6)) * v7)) = T(x,y * v7). [para(8362(a,1),220(a,2,2)),rewrite([561(4),7735(4),8450(5)]),flip(a)]. 9366 a(x,y,a(z,u,w)) * (v5 * T(a(x,y,a(z,u,w)) \ (v5 \ v6),v7)) = v5 * T(v5 \ v6,v7). [para(8362(a,2),255(a,2)),rewrite([8261(8),7732(9),9331(8),51(7)]),flip(a)]. 9369 T(x,T(a(y,z,a(u,w,v5)) * (v6 * v7),v7)) = T(x,v7 * v6). [para(8362(a,2),262(a,1,2,1)),rewrite([8415(8),7729(10),8415(11)])]. 9390 (a(x,y,z) \ u) * (a(w,v5,a(v6,v7,v8)) * a(x,y,z)) = a(w,v5,a(v6,v7,v8)) * u. [para(6592(a,1),8362(a,1,2)),flip(a)]. 9394 K(x,y) * (a(z,u,a(w,v5,v6)) * (x * v7)) = T(x,y) * (a(z,u,a(w,v5,v6)) * v7). [para(8362(a,2),7763(a,1,2))]. 9400 a(x,y,a(z,u,w)) \ T(a(x,y,a(z,u,w)) * v5,v6) = T(v5,v6). [back_rewrite(9268),rewrite([9311(11),168(12),8415(11)])]. 9414 T(x,y * (z * (u * a(w,v5,a(v6,v7,v8))))) = T(x,y * (z * u)). [back_rewrite(8391),rewrite([9369(7)]),flip(a)]. 9460 x \ (K(y,z) * (u * x)) = T(K(y,z) * u,x). [hyper(7088,a,7760,a,b,7724,a),rewrite([2598(5),74(7),75(7),9124(10)]),flip(a)]. 9463 T(K(x * y,z) * x,y) = y \ T(x * y,z). [hyper(7088,a,168,a(flip),b,7724,a)]. 9477 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(267,a,227,a,b,7724,a)]. 9497 K(x,y) * (z * (K(y,x) * u)) = u * T(z,K(y,x) * u). [hyper(5083,a,410,a(flip),b,7724,a(flip)),rewrite([5754(5)])]. 9510 x / K(y,z) = x * K(z,y). [hyper(266,a,410,a,b,7724,a(flip)),rewrite([5587(4)])]. 9517 (x * (K(y,z) * (u * w))) \ ((x * (K(y,z) * u)) * w) = a(x,K(y,z) * u,w). [para(7724(a,1),54(a,1,1,2))]. 9518 (K(x,y) * (z * (u * w))) \ (K(x,y) * ((z * u) * w)) = a(K(x,y) * z,u,w). [para(7724(a,1),54(a,1,1)),rewrite([7724(7),7724(8)])]. 9523 (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). [para(7724(a,1),56(a,1,1)),rewrite([7724(7)])]. 9524 (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,K(y,z) * u,x). [para(7724(a,1),56(a,1,2,2))]. 9526 ((x * (K(y,z) * u)) * w) / (K(y,z) * (u * w)) = R(x,K(y,z) * u,w). [para(7724(a,1),57(a,1,2))]. 9533 K(x,y) * (z * (u * K(y,x))) = T(z * u,K(x,y)). [para(7724(a,2),147(a,1,1)),rewrite([7724(3),9510(5),7726(5),7726(4),73(9),1136(10)])]. 9534 K(x,y) * (K(z,K(x,y)) * u) = K(x,T(y,z)) * u. [para(147(a,2),7724(a,1,1)),rewrite([2677(3)]),flip(a)]. 9538 K(K(x,y) * (z * u),T(w,u)) = K(u * (K(x,y) * z),w). [para(7724(a,1),181(a,1,1))]. 9542 K(x,y) * (z * (K(y,x) * u)) = T(z,K(x,y)) * u. [para(197(a,2),7724(a,1,1)),rewrite([5754(3),73(4),8241(5),9510(6),7725(7)]),flip(a)]. 9543 K(x,y) * (T(z,K(x,y)) * u) = z * (K(x,y) * u). [para(203(a,2),7724(a,1,1)),rewrite([2598(2),2729(3),7725(3),9510(8),7726(8),5739(8)]),flip(a)]. 9563 K(x,y) * (z * (u * K(x,K(y,z)))) = z * (K(x,y) * u). [para(7724(a,1),5582(a,1,1)),rewrite([73(5),9510(6),73(5),75(5),74(5),7726(6),7726(5),7725(9),73(11),548(12)])]. 9565 x * (K(y,z) * (u * K(x,K(y,z)))) = K(y,z) * (x * u). [para(7724(a,1),5582(a,2,1)),rewrite([7725(3),9510(6),73(5),75(5),74(5),7726(6),7726(5),548(12)])]. 9566 (x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w). [para(7724(a,2),5582(a,1,1,1)),rewrite([7724(3),7724(4),73(7),9510(8),73(7),75(7),74(7),7726(8),7726(7),9563(8),7726(7),73(11),548(12)]),flip(a)]. 9570 a(x,K(y,z) * u,w) * (x * (K(y,z) * (u * w))) = (x * (K(y,z) * u)) * w. [para(7724(a,1),7687(a,1,2,2))]. 9573 K(x,T(y,K(y,x) * z)) = K(x,T(y,z)). [back_rewrite(6624),rewrite([9477(4),58(3),2598(2)]),flip(a)]. 9602 K(x,y) * T(z,K(u,w)) = T(K(x,y) * z,K(u,w)). [back_rewrite(7877),rewrite([9510(6),7726(6),7726(5),5739(5)])]. 9633 K(x,y) * T(y * x,T(z,x)) = T(T(x * y,z),K(y,x)). [back_rewrite(7471),rewrite([9510(5),3716(5)])]. 9635 (x * (y / x)) * (z * K(x \ y,x)) = T(y * z,K(x,x \ y)). [back_rewrite(7465),rewrite([9510(6),7726(6)])]. 9645 K(x,K(y,K(y,x) * z)) = K(z,K(x,y)). [back_rewrite(7188),rewrite([9510(2),55(5),73(2),74(2),75(2),74(2)]),flip(a)]. 9665 T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). [back_rewrite(5834),rewrite([9510(5)])]. 9666 x / (x * K(y,z)) = K(z,T(y,x)). [back_rewrite(5689),rewrite([9573(4),9510(4)]),flip(a)]. 9667 T(K(x,y) * z,K(x,y)) = z * K(x,y). [back_rewrite(5587),rewrite([9510(6)])]. 9669 x * T(y,K(x,z)) = T(x * y,K(x,z)). [back_rewrite(5584),rewrite([9510(4),7726(4),9175(4)])]. 9670 (x * y) * (z * K(y,x)) = T((y * x) * z,K(x,y)). [back_rewrite(5582),rewrite([9510(4),7726(4)])]. 9674 K(x * (K(y,z) * K(y,z)),u) = K(x,u). [back_rewrite(4029),rewrite([9510(2),7726(4)])]. 9682 x * T(y,K(z,u) * x) = T(y,K(u,z)) * x. [back_rewrite(9497),rewrite([9542(5)]),flip(a)]. 9693 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [back_rewrite(1155),rewrite([9566(4),168(3),6622(5)]),flip(a)]. 9711 T(T(x,K(y,z)),K(u,w)) = T(x,K(z,y) * K(w,u)). [back_rewrite(5934),rewrite([9602(6),5739(4)])]. 9713 T(T(x,y) * y,K(y,z)) = T(x,T(y,z)) * y. [back_rewrite(4133),rewrite([9602(5),7763(3)])]. 9718 T(x,y) * (z * K(y,x)) = T(x * z,K(x,y)). [back_rewrite(9175),rewrite([9669(7)])]. 9724 T(x * T(y,K(z,u)),K(z,u)) = T(x,K(z,u)) * y. [back_rewrite(5235),rewrite([9682(9)])]. 9730 R(x,y,T(x,y)) = R(x,y,x). [back_rewrite(2529),rewrite([9693(3)])]. 9734 T(x * y,K(z,y) * K(z,x)) = x * y. [back_rewrite(8019),rewrite([9711(5)])]. 9736 T(x,T(y,z)) * T(y,T(x,u)) = T(x * y,K(z,y) * K(u,x)). [back_rewrite(4141),rewrite([9711(10)])]. 9737 T(x,K(y,z) * K(y,z)) = x. [back_rewrite(1129),rewrite([9711(4)])]. 9739 T(x * ((x * y) / x),K(y,z)) = T(x,T(y,z)) * y. [back_rewrite(4117),rewrite([9713(4)]),flip(a)]. 9756 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [back_rewrite(3558),rewrite([9724(5),52(4),1039(5),1671(5),3545(3)]),flip(a)]. 9760 T(T(x,K(y,z)),u) = T(x,K(z,y) * u). [back_rewrite(153),rewrite([9724(5),58(4)])]. 9765 K(x * (K(y,z) * u),T(w,u)) = K(K(y,z) * (u * x),w). [back_rewrite(7945),rewrite([9756(7)])]. 9776 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [back_rewrite(4001),rewrite([9756(4)]),flip(a)]. 9805 T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). [back_rewrite(4289),rewrite([9760(3)])]. 9806 K(x,y * T(z,K(u,w) * v5)) = K(x,y * T(z,v5)). [back_rewrite(4283),rewrite([9760(3)])]. 9808 K(x,T(y,z)) * T(z,K(y,x) * u) = T(z,u) * K(x,T(y,z)). [back_rewrite(3400),rewrite([9760(5)])]. 9809 T(x,K(y,z) * u) * K(z,y) = K(z,y) * T(x,u). [back_rewrite(2974),rewrite([9760(3)])]. 9820 T(x,T(y * (K(z,u) * w),w)) = T(x,K(z,u) * (w * y)). [back_rewrite(7892),rewrite([9805(7)])]. 9827 T(x,T(y,z * K(u,w))) = T(x,T(y,z)). [back_rewrite(4016),rewrite([9805(4)]),flip(a)]. 9830 T(x * K(y,z),T(u,x)) = T(x * K(y,z),u). [back_rewrite(1794),rewrite([9805(6)])]. 9831 T(K(x,y) * z,T(u,z)) = T(K(x,y) * z,u). [back_rewrite(1788),rewrite([9805(6)])]. 9832 T(T(x * K(y,z),u),T(w,x)) = T(T(x * K(y,z),w),u). [back_rewrite(1352),rewrite([9805(7)])]. 9861 (x * (y * K(z,K(u,x)))) \ (x * (K(z,u) * y)) = K(z,T(u,x * y)). [hyper(7088,a,9670,a(flip),b,7724,a(flip)),rewrite([74(3),75(3),3044(6),2598(3),74(5),75(5),7725(10),73(12),548(13)]),flip(a)]. 9863 (x * (y * K(x,z * z))) \ (x * ((z * z) * y)) = T(z * z,T(x,z * z) * y). [hyper(7088,a,9670,a(flip),b,5,a(flip)),rewrite([8558(6),6(12),562(15),564(15)]),flip(a)]. 9872 x * (y * K(z,K(u,x))) = T(x,K(z,u)) * y. [hyper(5083,a,9670,a(flip),b,7724,a(flip)),rewrite([7725(4),73(6),548(7),5754(5),9542(5),562(2),74(5),75(5)]),flip(a)]. 9873 x \ ((y * y) * (x * z)) = (y * y) * (z * K(y * y,x)). [hyper(5083,a,9670,a(flip),b,6,a(flip)),rewrite([5(3),564(6)])]. 9888 (x * (y * z)) \ T((y * z) * x,K(y,z)) = K(z * y,x * K(y,z)). [para(9670(a,1),55(a,1,2)),rewrite([7725(4),9138(3),168(2),410(2),562(6)])]. 9910 (x * y) * (K(y,x) * z) = (y * x) * z. [para(175(a,1),9670(a,1,2)),rewrite([9724(10),3657(7)])]. 9913 T(x * (y * K(z,u)),K(y,x)) = x * (y * K(z,u)). [para(175(a,2),9670(a,1,2)),rewrite([2598(4),1671(4),9910(5),7726(3),7726(6)]),flip(a)]. 9916 K(x * (y * z),T(u,z * y)) = K((y * z) * x,u). [para(9670(a,1),181(a,2,1)),rewrite([7725(4),9138(3),168(2),410(2),562(9),1039(10),1671(10)])]. 9967 (x * (y * K(x,K(z,u)))) \ (x * (K(z,u) * y)) = K(z,T(u,x * y)). [back_rewrite(9861),rewrite([75(2),74(2)])]. 9999 (a(x,y,a(z,u,w)) * (v5 * v6)) \ (v6 * (a(x,y,a(z,u,w)) * v5)) = K(v6,a(x,y,a(z,u,w)) * v5). [para(7729(a,1),55(a,1,1))]. 10001 (a(x,y,a(z,u,w)) * (v5 * v6)) \ (a(x,y,a(z,u,w)) * (v5 * (v6 * v7))) = L(v7,v6,a(x,y,a(z,u,w)) * v5). [para(7729(a,1),56(a,1,1)),rewrite([7729(9)])]. 10002 (a(x,y,a(z,u,w)) * ((v5 * v6) * v7)) / (v6 * v7) = R(a(x,y,a(z,u,w)) * v5,v6,v7). [para(7729(a,1),57(a,1,1,1)),rewrite([7729(5)])]. 10003 R(a(x,y,a(z,u,w)),v5,v6) = a(x,y,a(z,u,w)). [para(7729(a,1),57(a,1,1)),rewrite([52(6)]),flip(a)]. 10010 T(a(x,y,a(z,u,w)) * v5,v6) * K(v6,v5) = a(x,y,a(z,u,w)) * v5. [para(164(a,1),7729(a,2,2)),rewrite([9331(4)])]. 10030 T(a(x,y,a(z,u,w)) * v5,v6) * v7 = T(v5,v6) * (a(x,y,a(z,u,w)) * v7). [para(7729(a,1),7763(a,1,2)),rewrite([9311(4),9394(9),8415(4)]),flip(a)]. 10033 T(x * a(y,z,a(u,w,v5)),K(x,v6)) = a(y,z,a(u,w,v5)) * x. [back_rewrite(10010),rewrite([10030(6),9718(6)])]. 10038 T(x * (y * K(z,u)),K(x,y)) = y * (T(x,y) * K(z,u)). [hyper(7088,a,9670,a(flip),b,9566,a),rewrite([562(5),7726(9),9913(11),5754(10),9138(10),7763(9)])]. 10060 x * (y * (K(z,u) * K(y,x))) = x * (T(y,x) * K(z,u)). [hyper(5081,a,9670,a(flip),b,9566,a),rewrite([7726(3),562(5),10038(5),7726(9),7726(8)]),flip(a)]. 10064 x * (T(y,x) * K(z,u)) = y * (x * K(z,u)). [hyper(5081,a,9566,a,b,9670,a(flip)),rewrite([7726(5),7726(4),10060(5),7726(7),9913(9)])]. 10078 T(K(x,y) * z,z) = z * K(x,y). [hyper(266,a,410,a,b,9566,a),rewrite([8226(7)])]. 10085 a(x,y * K(z,u),w) = a(x,y,K(z,u) * w). [hyper(7088,a,9566,a(flip),b,7687,a),rewrite([7725(6),547(8),7725(6),54(12)])]. 10108 (x * (y * K(z,u))) / (x * y) = K(z,T(u,x * y)). [hyper(266,a,197,a(flip),b,9566,a(flip)),rewrite([56(12),5678(9),74(9),75(9),2752(10)])]. 10115 (x * ((y * z) * (K(u,w) * v5))) \ ((x * (y * (z * K(u,w)))) * v5) = a(x,y * (z * K(u,w)),v5). [para(9566(a,1),54(a,1,1,2))]. 10122 R(x,y * K(z,u),w) = R(x,y,K(z,u) * w). [para(9566(a,1),57(a,1,1)),rewrite([7725(7),57(8)]),flip(a)]. 10125 (x * y) * (K(z,u) * K(w,v5)) = x * (y * (K(w,v5) * K(z,u))). [para(76(a,1),9566(a,2,2)),rewrite([7726(5),7726(4)]),flip(a)]. 10133 (x * y) * (K(y,z) * u) = (x * T(y,z)) * u. [para(149(a,1),9566(a,1,1,2)),flip(a)]. 10157 K(x * (y * (z * (K(u,K(w,v5)) * K(v6,v7)))),v8) = K(x * (y * (z * K(v6,v7))),v8). [para(9566(a,1),212(a,1,1,2)),rewrite([10125(6)])]. 10183 (x * (y * (z * K(u,w)))) * v5 = (x * (y * z)) * (K(u,w) * v5). [para(7687(a,2),9566(a,1,1,2)),rewrite([10(2),48(5)])]. 10194 T(x * (y * K(z,u)),K(x,y)) = x * (y * K(z,u)). [back_rewrite(10038),rewrite([10064(9)])]. 10212 K(x * (y * (z * K(u,x * (y * z)))),w) = K(x * (y * z),T(w,u)). [back_rewrite(8145),rewrite([10157(10)])]. 10215 a(x,y * (z * K(u,w)),v5) = a(x,y * z,K(u,w) * v5). [back_rewrite(10115),rewrite([10183(10),54(11)]),flip(a)]. 10245 a(x,T(y,z),K(y * z,y) * u) = a(x,R(y,z,y),u). [para(192(a,1),10085(a,1,2)),flip(a)]. 10268 x \ (y * (K(z,u) * x)) = T(y * K(z,u),x). [hyper(7088,a,7760,a,b,7725,a),rewrite([7760(9)]),flip(a)]. 10300 (x * (K(y,z) * u)) / u = x * K(y,z). [hyper(267,a,53,a,b,7725,a)]. 10319 x \ (K(y,z) * (x * u)) = K(y,z) * (u * K(x,K(y,z))). [hyper(5083,a,9670,a(flip),b,7725,a(flip)),rewrite([7724(3),548(6),73(7),75(7),74(7)])]. 10320 x \ (y * (x * K(z,u))) = K(z,u) * T(y,x * K(z,u)). [hyper(5083,a,410,a(flip),b,7725,a(flip))]. 10334 T(x * K(y,z),x) = K(y,z) * x. [hyper(266,a,410,a,b,7725,a(flip))]. 10338 a(x * K(y,z),u,w) = a(x,K(y,z) * u,w). [para(7725(a,1),54(a,1,1)),rewrite([7725(7),9517(9)]),flip(a)]. 10341 L(x,K(y,z) * u,w) = L(x,u,w * K(y,z)). [para(7725(a,1),56(a,1,1)),rewrite([7725(7),9524(8)])]. 10342 (x * (y * K(z,u))) \ (x * (y * (K(z,u) * w))) = L(w,y * K(z,u),x). [para(7725(a,1),56(a,1,2,2))]. 10378 a(x,K(y * z,x) * y,z) * ((y * z) * x) = (x * (K(y * z,x) * y)) * z. [back_rewrite(7768),rewrite([10338(4)])]. 10391 T(T(x,y),K(y,x) * z) = (K(y,x) * (a(u,w,a(v5,v6,v7)) * z)) \ (x * (a(u,w,a(v5,v6,v7)) * z)). [hyper(7088,a,7732,a,b,7760,a),rewrite([9352(7),7732(13)])]. 10434 a(x * a(y,z,a(u,w,v5)),v6,v7) = a(x,a(y,z,a(u,w,v5)) * v6,v7). [para(7732(a,1),54(a,1,1)),rewrite([7732(9),8385(10),8413(11)]),flip(a)]. 10436 R(x,a(y,z,a(u,w,v5)),v6) = x. [para(7732(a,1),57(a,1,1)),rewrite([52(8)]),flip(a)]. 10452 T(x * a(y,z,a(u,w,v5)),v6) * v7 = T(x,v6) * (a(y,z,a(u,w,v5)) * v7). [para(7732(a,1),7763(a,1,2)),rewrite([9349(4),7763(9),8415(4)]),flip(a)]. 10490 T(T(x,y),x * K(z,u)) = T(T(x,y),K(z,u)). [hyper(7088,a,7726,a,b,241,a),rewrite([7726(10),6619(11),5538(9)])]. 10509 (x * K(y * x,z)) \ T(y * x,z) = T(y,x * K(y * x,z)). [hyper(7088,a,149,a(flip),b,7726,a(flip)),flip(a)]. 10522 x * ((x \ y) * K(z,u)) = y * K(z,u). [para(51(a,1),7726(a,1,1)),flip(a)]. 10523 (x / y) * (y * K(z,u)) = x * K(z,u). [para(53(a,1),7726(a,1,1)),flip(a)]. 10537 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(7726(a,1),256(a,1,1)),rewrite([7726(6),10108(8),9510(7),1039(6),7726(7),7726(6),5620(5),73(9),1136(10)])]. 10572 K(x \ y,z) * ((y \ x) \ 1) = T((y \ x) \ 1,z). [hyper(7088,a,3361,a,b,164,a),rewrite([568(9),196(8),3361(12),5754(12),8475(8)]),flip(a)]. 10581 L(1 / (1 / x),y,z) \ K(x \ 1,x) = L(x,y,z) \ 1. [para(88(a,1),3361(a,1,1)),rewrite([340(13),5537(10),5548(9),5666(9),340(14)])]. 10584 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [para(3361(a,2),160(a,2,2,1)),rewrite([3361(10),8475(11)]),flip(a)]. 10607 ((x \ y) \ 1) * K(y \ x,z) = T((x \ y) \ 1,T(z,y / x)). [para(3361(a,1),263(a,1,1)),rewrite([3350(7),5548(7),8475(7),3361(10)])]. 10608 T((x \ y) \ 1,T(z,y / x)) = T((x \ y) \ 1,T(z,x \ y)). [para(3361(a,2),263(a,1,1)),rewrite([3361(4),5548(7),8475(7),10607(6)])]. 10618 ((x \ y) \ 1) * K(y \ x,z) = T((x \ y) \ 1,T(z,x \ y)). [back_rewrite(10607),rewrite([10608(12)])]. 10621 x != y | y = x. [para(324(a,1),5457(a,1)),rewrite([48(3)])]. 10622 K(x / y,y * z) = K(y \ x,z * y). [hyper(7088,a,262,a(flip),b,1205,a),rewrite([2598(5),4838(5),82(8)]),flip(a)]. 10686 K(x,T(T(y,z),u)) * K(x,K(y,w)) = K(x,T(T(T(y,z),w),u)). [para(1373(a,1),178(a,2,1,2)),rewrite([2598(3),2598(6),74(7),1373(7),1373(6),75(5),74(10),75(10),2722(11),2598(10)])]. 10690 K(x,K(y,z)) * K(x,T(T(T(y,u),z),w)) = K(x,T(T(y,u),w)). [para(1373(a,1),253(a,1,2,1,2)),rewrite([73(3),1039(2),1373(3),74(6),75(6),2722(7),2598(6),2598(11),2717(11)])]. 10693 K(x,T(y,z)) * (T(u,K(x,y)) * w) = u * (K(x,T(y,z)) * w). [para(1373(a,1),9670(a,1,2,2)),rewrite([74(5),75(5),7724(7),9872(6),7725(10),73(13),1039(12),1373(13),548(13)])]. 10699 K(x,T(T(y * z,y),u)) = K(x,T(z * y,u)). [hyper(295,a,173,a(flip),b,7197,a),rewrite([173(8)])]. 10703 K(x,y * (z / y)) = K(x,T(z,y)). [para(51(a,1),7197(a,1,2,1)),rewrite([3014(5)]),flip(a)]. 10716 T(x * y,x) * K(z,y * x) = T(x * (y * K(z,x * y)),x). [para(7197(a,1),178(a,1,2)),rewrite([7726(9)])]. 10718 K(x,T(T(y * K(z,y),u),y)) = K(x,T(T(y,z),u)). [para(178(a,1),7197(a,1,2,1)),rewrite([2717(6),2045(9),178(9),1245(9)])]. 10719 T(x,y * (K(z,u * y) * u)) = T(x,T(T(u * y,u),z)). [para(7197(a,1),186(a,1,2,2)),rewrite([10716(5),4758(6),7725(4)])]. 10720 K(x,T(T(y,z) * u,y)) = K(x,u * T(y,z)). [para(186(a,2),7197(a,1,2)),rewrite([186(5),2717(5)])]. 10756 K(x,(y \ z) * y) = K(x,T(z,y)). [back_rewrite(3014),rewrite([10703(6)])]. 10794 K(x,T(y,z)) * (z * u) = z * (K(x,y) * u). [hyper(5083,a,7724,a(flip),b,7452,a),rewrite([73(2),5754(6),73(2),75(2),74(2),8547(6),7725(7)])]. 10795 (x * y) * T(z,y * x) = K(x,y) * (z * (y * x)). [hyper(5083,a,410,a(flip),b,7452,a),rewrite([5754(4)]),flip(a)]. 10800 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [hyper(5083,a,149,a(flip),b,7452,a),rewrite([5754(4),7726(8),8204(8)])]. 10806 T(x * y,T(T(z,x),y)) = T(x * y,z). [hyper(5081,a,149,a(flip),b,7452,a),rewrite([7726(7),8204(7),10800(7)]),flip(a)]. 10821 K(x \ y,x) * ((x * (y / x)) * z) = y * z. [para(53(a,1),7452(a,2,1)),rewrite([2399(2)])]. 10855 K((x * y) * (z * K(x,y)),u) = K((y * x) * z,u). [para(7452(a,1),249(a,1,1)),rewrite([7726(7)]),flip(a)]. 10877 K(x,y) * (((y * x) * z) * u) = ((x * y) * z) * u. [para(7452(a,1),7687(a,2,1)),rewrite([8(4),48(7)])]. 10878 K(x,T(y,z)) * ((y * x) * u) = T(x * y,K(y,z)) * u. [para(7452(a,1),7763(a,1,2)),rewrite([73(2),8630(5),8214(3),2598(6)]),flip(a)]. 10895 x * (K(y,z) * (y / x)) = T(x * (y / x),T(z,y)). [back_rewrite(7138),rewrite([10794(5)])]. 10898 T(T(x * y,z),K(x,y)) = T(x * y,z). [back_rewrite(9633),rewrite([10800(5),10806(4),562(6)]),flip(a)]. 10931 K(x,K(y,z)) * (R(z,u,w) * K(x,y)) = K(x,y) * R(z,u,w). [hyper(5081,a,5593,a,b,227,a),rewrite([73(2),61(9),2976(11)])]. 10941 (R(x,y,z) \ u) * R(x,y,z) = u * K(u / R(x,y,z),x). [para(51(a,1),5593(a,1,2)),rewrite([9005(4)]),flip(a)]. 10948 T(K(x,y) * z,K(y,x)) = z * K(x,y). [para(75(a,1),5593(a,1,1)),rewrite([5676(4),8564(5),9602(4),5676(6)])]. 10966 K(x,x \ y) * (R(y / x,z,u) * x) = x * R(y / x,z,u). [para(238(a,1),5593(a,1,1))]. 11003 x * (R(y,z,u) * a(w,v5,a(v6,v7,v8))) = x * (a(w,v5,a(v6,v7,v8)) * R(y,z,u)). [para(5593(a,2),7732(a,2,2)),rewrite([7732(5),11(8),48(11)]),flip(a)]. 11005 T(K(x,T(y,z)) * u,K(x,y)) = u * K(x,T(y,z)). [para(1373(a,1),5593(a,1,1)),rewrite([5676(5),8564(6),9602(5),5676(8)])]. 11009 R(x,y,z) * x = x * R(x,y,z). [para(948(a,1),5593(a,1,1)),rewrite([48(4)])]. 11014 K(x,T(y,y * z)) = K(x,T(y,z)). [hyper(7088,a,9138,a,b,9138,a),rewrite([2598(3),9138(7),6619(8),2598(5),5678(6)])]. 11041 K(x,y * z) * (z * y) = z * (y * K(x,y * z)). [hyper(5081,a,9670,a(flip),b,9138,a),rewrite([7726(4),562(6),10194(6),7726(9),149(8),410(8)]),flip(a)]. 11067 (x * (y * K(z,x))) \ (x * (K(z,x) * y)) = K(x,K(z,x * y)). [para(9138(a,1),55(a,1,2)),rewrite([7726(3),73(10),74(10)])]. 11081 K(x,T(y,z)) * (y * u) = y * (K(x,T(y,z)) * u). [para(171(a,1),9138(a,1,1)),rewrite([171(7)])]. 11086 K(x * (K(y,x) * z),u) = K(T(x,y) * z,u). [para(9138(a,1),181(a,2,1)),rewrite([7726(3),562(5),1671(6),8599(4)]),flip(a)]. 11087 K(K(x,y) * (z * y),u) = K(z * T(y,x),u). [para(9138(a,2),181(a,1,1)),rewrite([9138(3),9756(7),11086(5),181(4),7724(6)]),flip(a)]. 11089 K(x * (K(y,T(z,u)) * w),v5) = K(x * (K(y,z) * w),v5). [para(9138(a,1),183(a,1,1,2)),rewrite([74(3),75(3),9216(5)])]. 11093 K(x,y * (K(z,T(u,w)) * v5)) = K(x,y * (K(z,u) * v5)). [para(9138(a,1),202(a,1,2,2)),rewrite([74(3),75(3),9216(5)])]. 11105 T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(z,u) * v5)). [para(9138(a,1),230(a,1,2,2)),rewrite([74(3),75(3),9216(5)])]. 11114 K(x,K(y,z) * u) * (K(z,y) * (u * w)) = K(z,y) * (u * (K(x,K(z,y) * u) * w)). [para(261(a,1),9138(a,1,1)),rewrite([7724(6),7724(14)])]. 11135 (x * (K(y,x) * z)) * u = K(y,x) * ((x * z) * u). [para(9138(a,1),7687(a,2,1)),rewrite([8(3),48(6)]),flip(a)]. 11171 K(x,y) * (T(z,K(y,x)) * u) = z * (K(x,y) * u). [back_rewrite(7894),rewrite([11114(7),168(5),9682(5)])]. 11173 a(x,K(y * z,x) * y,z) * ((y * z) * x) = K(y * z,x) * ((x * y) * z). [back_rewrite(10378),rewrite([11135(12)])]. 11178 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [hyper(7088,a,9113,a,b,9113,a),rewrite([2598(3),9113(7)]),flip(a)]. 11192 x \ (y * K(x,y)) = K(x,y) * (x \ y). [hyper(5083,a,224,a(flip),b,9113,a),rewrite([5754(3)]),flip(a)]. 11193 K(x,y) * (x \ T(y,x)) = x \ y. [hyper(5083,a,194,a(flip),b,9113,a),rewrite([5754(4)])]. 11194 (T(x,y) \ z) / (x \ z) = K(y,x). [hyper(267,a,53,a,b,9113,a)]. 11197 K(x,T(y,z)) * (T(x,y) \ u) = K(y,K(x,z)) * (x \ u). [hyper(5083,a,9113,a(flip),b,7760,a),rewrite([2598(2),5754(5),1039(2),74(7),75(7)])]. 11204 T(x * y,z) \ (y * x) = K(z,x * y) * K(y,x). [para(55(a,1),9113(a,1,2)),flip(a)]. 11206 T(x * y,z) \ (x * (y * u)) = K(z,x * y) * L(u,y,x). [para(56(a,1),9113(a,1,2)),flip(a)]. 11208 K(x,y) * (L(y,z,u) \ w) = L(T(y,x),z,u) \ w. [para(60(a,1),9113(a,2,1)),rewrite([5537(2)])]. 11209 K(x,y) * (R(y,z,u) \ w) = R(T(y,x),z,u) \ w. [para(61(a,1),9113(a,2,1)),rewrite([5679(2)])]. 11210 K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u. [para(73(a,1),9113(a,1,1))]. 11215 (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). [para(9113(a,1),147(a,1,1)),rewrite([9510(4),73(8),74(8),1136(9)])]. 11216 (K(x,y) * T(x,z)) \ u = K(y,x) * (T(x,z) \ u). [para(157(a,1),9113(a,2,1)),rewrite([1039(3),1092(3)]),flip(a)]. 11218 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(171(a,1),9113(a,1,1)),rewrite([1518(7)])]. 11243 T((x * y) / x,z) \ T(x,y) = T(y,T(z,x)) \ x. [para(248(a,1),9113(a,1,2)),rewrite([1073(3),11218(4)]),flip(a)]. 11251 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(9113(a,1),261(a,1,2)),flip(a)]. 11267 K(x,y) * ((y \ z) * u) = (T(y,x) \ z) * u. [para(9113(a,1),7687(a,2,1)),rewrite([8(3),48(6)])]. 11288 L(T(x,x \ 1),y,z) \ 1 = T(L(x,y,z) \ 1,x). [back_rewrite(6484),rewrite([11208(7)])]. 11310 L(x,y,z) != a(u,w,a(v5,v6,v7)) | a(u,w,a(v5,v6,v7)) = x. [para(5528(a,1),282(a,1)),flip(a)]. 11355 L(R(x,y,z),u,w) * L(x,u,w) = L(x,u,w) * L(R(x,y,z),u,w). [para(63(a,1),11009(a,1,1)),rewrite([63(7)])]. 11406 T(K(x,y) * L(z * K(y,x),u,w),z * K(y,x)) = K(x,y) * L(K(y,x) * z,u,w). [hyper(5081,a,207,a(flip),b,10078,a),rewrite([5754(3),9510(8),9510(12),6174(14)]),flip(a)]. 11411 T(K(x,y) * (z * (K(u,K(w,v5)) * v6)),z * v6) = z * (K(u,K(w,v5)) * (v6 * K(x,y))). [hyper(295,a,230,a(flip),b,10078,a),rewrite([7726(14),7726(13)])]. 11417 T((x * (K(y,z) * T(u,x))) / x,u) \ (T(u,x) * K(y,z)) = K(T(u,x) * K(y,z),x). [hyper(7088,a,10078,a(flip),b,253,a),rewrite([147(12,R),4293(11),2598(10),245(9),4768(8),9776(8),196(5),3743(5),147(12,R)]),flip(a)]. 11418 K(x * K(y,z),x) = K(y,K(z,x)). [hyper(7088,a,10078,a(flip),b,168,a),rewrite([6775(3),2598(6),4773(5),959(6),55(8),74(5),75(5)])]. 11419 T(x,y) * (K(z,u) * K(y,K(z,u) * T(x,y))) = T((y * (K(z,u) * T(x,y))) / y,x). [hyper(5083,a,10078,a(flip),b,253,a),rewrite([5754(8),11041(8),147(16,R)])]. 11420 T(x,x * K(y,z)) = T(x,K(z,y)). [para(51(a,1),10078(a,1,1)),rewrite([5754(2),4773(3),5754(5),7726(7),5739(7),562(5)])]. 11427 T(T(x,y),K(z,u)) = T(x,K(u,z) * y). [para(10078(a,1),182(a,1,2)),rewrite([10490(4),4773(6),11420(6),562(5),9760(6)])]. 11438 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(10078(a,2),248(a,1,1,1)),rewrite([10078(3),2677(3),5754(5),1039(2),9602(5),2729(3),5754(6)])]. 11456 T(K(x,y) * R(z,u,w),z) = R(z,u,w) * K(x,y). [para(5593(a,2),10078(a,1,1)),rewrite([73(2),10931(6),6492(5)])]. 11465 T(x * y,K(y,x) * z) = T(x * y,z). [back_rewrite(10898),rewrite([11427(4)])]. 11472 K(x,T(y,z)) * T(x * K(y,x),u) = T(x,K(z,y) * T(u,y)). [back_rewrite(8606),rewrite([11427(10)])]. 11473 x \ T(y * x,K(y,z)) = T(y,K(y * x,z) * x). [back_rewrite(8526),rewrite([11427(8)])]. 11474 T(K(x,y) * z,K(y,x) * u) = T(z * K(x,y),u). [back_rewrite(8240),rewrite([11427(5)])]. 11487 K(x,K(y,z)) * T(z,u) = T(z,K(y,x) * u). [back_rewrite(4540),rewrite([11427(7)])]. 11490 T(x,y * K(y / z,u)) = T(x,y * K(z \ y,u)). [back_rewrite(3561),rewrite([11427(4),9008(3),11427(8),9005(7)]),flip(a)]. 11492 T(x,K(y,x) * z) = T(x,z). [back_rewrite(1542),rewrite([11427(3)])]. 11494 K(x,K(y,z)) * T(x,u) = T(x,K(z,y) * u). [back_rewrite(1404),rewrite([11427(7)])]. 11505 K(x,T(T(y,z),u)) * K(y,T(x,z)) = K(y,K(x,u)). [hyper(7088,a,2598,a(flip),b,253,a),rewrite([73(2),74(5),75(5),2752(6),2598(5),1391(6),1391(5),2598(4),2598(3),1671(3),74(5),75(5),2752(6),2598(5),2717(8),5754(8),1039(5),1039(5)]),flip(a)]. 11507 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(238(a,1),2598(a,1,1)),rewrite([2598(3)]),flip(a)]. 11515 T(a(x,y,z) * u,K(u,w)) = u * a(x,y,z). [para(547(a,1),251(a,1,2)),flip(a)]. 11537 T(x * (K(y,z) * x),K(u,w)) = x * (K(y,z) * x). [hyper(5083,a,618,a,b,7724,a(flip)),rewrite([7724(6),5754(9),9602(9),5784(7)])]. 11551 T(x * x,K(y,z) * u) = T(x * x,u). [para(618(a,1),59(a,1,1)),rewrite([11427(6)]),flip(a)]. 11561 T(K(x,y) * L(z,u,w),z) = L(z,u,w) * K(x,y). [hyper(295,a,10078,a(flip),b,6174,a),flip(a)]. 11562 T(x / L(y,z,u),y) = L(y,z,u) \ x. [hyper(295,a,412,a(flip),b,6174,a),flip(a)]. 11564 K(x * L(y,z,u),T(w,y)) = K(L(y,z,u) * x,w). [para(6174(a,1),181(a,1,2))]. 11567 T(x,T(y,z) * L(z,u,w)) = T(x,L(z,u,w) * y). [para(6174(a,1),220(a,1,2,1))]. 11568 K(x,T(y,z) * L(z,u,w)) = K(x,L(z,u,w) * y). [para(6174(a,1),229(a,1,2,1))]. 11573 L(x,y,z) * T(u,x) = u * L(x,y,z). [para(6174(a,1),410(a,1,2))]. 11575 L(x * K(y,z),u,w) * K(z,y) = K(z,y) * L(K(y,z) * x,u,w). [back_rewrite(11406),rewrite([11561(8)])]. 11591 K(K(x,y) * L(z,u,w),z) = K(x,K(y,z)). [hyper(7088,a,11561,a(flip),b,168,a),rewrite([2598(8),959(8),55(11),74(7),6159(6),75(6)])]. 11593 K(x,T(y,z)) * L(z,u,w) = L(z,u,w) * K(x,y). [hyper(5081,a,168,a,b,11561,a(flip)),rewrite([11591(4),8547(6)])]. 11597 K(x,K(y,z) * L(x,u,w)) = K(y,K(z,x)). [para(11561(a,1),84(a,1,2)),rewrite([80(7),5537(3),73(2)]),flip(a)]. 11629 L(x,y,z) * (K(u,T(w,x)) * v5) = K(u,w) * (L(x,y,z) * v5). [para(11561(a,1),7760(a,1,1)),rewrite([11597(7),75(5),74(5),7725(7),9534(6),7724(9)])]. 11635 K(x,y) * (L(T(z,K(x,y)),u,w) * v5) = L(z,u,w) * (K(x,y) * v5). [para(11561(a,2),7452(a,2,1)),rewrite([74(3),6159(2),74(2),7724(6),9138(7),8545(6),11561(10),7725(10)])]. 11655 x \ ((x \ y) \ y) = K(x,x \ y). [hyper(7088,a,411,a(flip),b,168,a),rewrite([2598(3),959(3)]),flip(a)]. 11664 L(x,y,z) \ (z * (y * x)) = T(z * y,x). [para(56(a,1),411(a,1,2)),rewrite([6174(3),56(6)]),flip(a)]. 11691 T(x \ y,x) = ((x \ y) \ y) \ y. [para(411(a,1),196(a,1,2)),rewrite([411(4)]),flip(a)]. 11693 T(x * K(y,x),x \ K(x,y)) = (x \ K(x,y)) \ 1. [para(217(a,1),411(a,1,2)),rewrite([217(9)])]. 11698 ((x \ y) \ y) \ (y / x) = x \ (x \ y). [para(411(a,1),224(a,1,1)),rewrite([147(6,R),51(4)])]. 11707 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(411(a,2),242(a,2,1)),rewrite([337(2),1039(5)]),flip(a)]. 11709 T(x,T(y,T(y,x) \ z)) = T(x,(T(y,x) \ z) \ z). [para(411(a,1),245(a,1,2)),flip(a)]. 11743 K(x,y \ z) * T(y,y \ z) = T(y \ z,x) \ z. [para(411(a,2),9113(a,1,2))]. 11749 K(x / (x / y),z) = K(y,T(z,x)). [back_rewrite(1057),rewrite([11707(6)])]. 11770 L(x \ y,x,z) \ (z * y) = T(z * x,x \ y). [para(51(a,1),11664(a,1,2,2))]. 11774 T(x,K(y,z)) * K(u,w) = T(x * K(u,w),K(y,z)). [para(76(a,1),11664(a,1,2,2)),rewrite([5538(3),5754(6),9542(6),562(2)])]. 11783 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(168(a,1),11664(a,1,2,2)),rewrite([5538(2)])]. 11786 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [para(11664(a,1),197(a,1,2,2)),rewrite([6159(6),959(5),7726(5),7726(4),149(3),6657(9)])]. 11853 T(x * K(y,T(z,u)),K(y,z)) = K(y,T(z,u)) * x. [back_rewrite(2933),rewrite([11774(5)])]. 11859 a(x,y,T(z,x * y)) \ (z * (x * y)) = L(z,y,x) * (x * y). [back_rewrite(7709),rewrite([11786(10)])]. 11861 L(x \ (y \ z),x,y) * (y * x) = ((y * x) \ z) * (y * x). [back_rewrite(6602),rewrite([11786(6)])]. 11892 L(x \ (y \ z),x,y) = (y * x) \ z. [hyper(276,a,11861,a)]. 11958 a((x * x) * y,z,u) = a(y,z,u). [hyper(5081,a,342,a(flip),b,11892,a),rewrite([50(11),54(8),320(8)])]. 11959 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(5081,a,217,a(flip),b,11892,a),rewrite([5754(6),5538(8)]),flip(a)]. 11961 (K(x,y) * z) \ u = z \ (K(y,x) * u). [hyper(295,a,5539,a(flip),b,11892,a),rewrite([5754(2)]),flip(a)]. 11962 (a(a(x,y,z),u,w) * v5) \ v6 = v5 \ (a(a(x,y,z),u,w) \ v6). [hyper(295,a,5536,a(flip),b,11892,a),flip(a)]. 11963 (a(x,y,a(z,u,w)) * v5) \ v6 = v5 \ (a(x,y,a(z,u,w)) \ v6). [hyper(295,a,5534,a(flip),b,11892,a),flip(a)]. 11964 (x * a(y,z,a(u,w,v5))) \ v6 = a(y,z,a(u,w,v5)) \ (x \ v6). [hyper(295,a,5531,a(flip),b,11892,a),flip(a)]. 11965 ((x * x) * y) \ z = y \ ((x * x) \ z). [hyper(295,a,320,a(flip),b,11892,a),flip(a)]. 11967 L(x \ ((y * y) \ (z \ u)),x,z * (y * y)) = (z * ((y * y) * x)) \ u. [para(6(a,2),11892(a,2,1)),rewrite([11965(4),372(7),6(10)])]. 11968 (x * (y * (z * z))) \ u = (z * z) \ ((x * y) \ u). [para(7(a,1),11892(a,2,1)),rewrite([321(7)]),flip(a)]. 11971 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(56(a,1),11892(a,1,1,2))]. 11972 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(58(a,1),11892(a,1,1,2))]. 11978 x \ (K(x,K(y,z)) * u) = T(x,K(y,z)) \ u. [para(152(a,1),11892(a,2,1)),rewrite([74(2),5754(3),73(2),75(2),74(2),74(6),5539(7)])]. 11981 x \ (K(y,x) * z) = T(x,y) \ z. [para(168(a,1),11892(a,2,1)),rewrite([5754(2),5539(5)])]. 11983 K(x,x * y) * (T(x,y) \ z) = R(x,y,x) \ z. [para(192(a,1),11892(a,2,1)),rewrite([5754(5),5538(9)])]. 12000 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(340(a,1),11892(a,1,1,2))]. 12001 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(340(a,1),11892(a,1,1))]. 12004 L(x \ 1,x,y) = (y * x) \ y. [para(323(a,1),11892(a,1,1,2))]. 12007 (x * (y * a(z,u,a(w,v5,v6)))) \ v7 = a(z,u,a(w,v5,v6)) \ ((x * y) \ v7). [para(7735(a,1),11892(a,2,1)),rewrite([5531(9)]),flip(a)]. 12008 (x * y) \ (K(z,x) * u) = (T(x,z) * y) \ u. [para(7763(a,1),11892(a,2,1)),rewrite([5754(3),5539(7)])]. 12009 (x * (a(y,z,a(u,w,v5)) * v6)) \ v7 = (x * v6) \ (a(y,z,a(u,w,v5)) \ v7). [para(8362(a,1),11892(a,2,1)),rewrite([5534(9)]),flip(a)]. 12013 (x * (y * K(z,u))) \ w = K(u,z) * ((x * y) \ w). [para(7726(a,1),11892(a,2,1)),rewrite([5754(4),5538(7)]),flip(a)]. 12016 K(x,(y * z) \ u) = K(x,z \ (y \ u)). [para(11892(a,1),5537(a,1,2))]. 12020 (x \ y) \ (K(x,z) * u) = (T(x,z) \ y) \ u. [para(9113(a,1),11892(a,2,1)),rewrite([5754(3),5539(7)])]. 12023 (x * K(y,z)) \ u = K(z,y) * (x \ u). [para(10078(a,2),11892(a,2,1)),rewrite([5754(3),5538(5),10078(6)]),flip(a)]. 12024 T(x,(y * z) \ u) = T(x,z \ (y \ u)). [para(11892(a,1),6174(a,1,2))]. 12054 T(x,y) \ (K(z,x) * u) = K(z,x) * (T(x,y) \ u). [back_rewrite(11216),rewrite([11961(4)])]. 12062 T(T(x,y),K(y,x) * z) = T(T(x,y),z). [back_rewrite(10391),rewrite([12009(14),8410(13),11961(8),7763(7),58(7)])]. 12075 L(x,y,K(z,u) * w) = L(x,y,w). [back_rewrite(9523),rewrite([11961(8),5784(7),56(4)]),flip(a)]. 12077 a(K(x,y) * z,u,w) = a(z,u,w). [back_rewrite(9518),rewrite([11961(9),5784(8),54(5)]),flip(a)]. 12121 L(x,y,a(z,u,a(w,v5,v6)) * v7) = L(x,y,v7). [back_rewrite(10001),rewrite([11963(10),50(9),56(4)]),flip(a)]. 12122 K(x,a(y,z,a(u,w,v5)) * v6) = K(x,v6). [back_rewrite(9999),rewrite([11963(9),8410(8),55(3)]),flip(a)]. 12132 T(x,y * a(z,u,a(w,v5,v6))) = T(x,y). [back_rewrite(8265),rewrite([11964(8),9262(7),9400(7)]),flip(a)]. 12144 L(x,y,(z * z) * u) = L(x,y,u). [back_rewrite(370),rewrite([11965(8),50(7),56(4)]),flip(a)]. 12150 (x * x) \ L((x * x) * y,z,u) = L(y,z * (x * x),u). [back_rewrite(373),rewrite([11968(8),56(7)])]. 12186 a(x,a(y,z,a(u,w,v5)) * v6,v7) = a(x,v6,v7). [back_rewrite(8413),rewrite([12009(11),50(10),54(5)]),flip(a)]. 12187 K(x,y * a(z,u,a(w,v5,v6))) = K(x,y). [back_rewrite(8278),rewrite([12009(9),8249(8),55(3)]),flip(a)]. 12190 K(x,K(y,x * z)) = K(x,K(z,y)). [back_rewrite(11067),rewrite([12013(7),6619(6),2598(3),5678(4),5620(4),75(2)]),flip(a)]. 12196 K(x,y) * L(K(y,x) * z,u,w) = L(z,u * K(y,x),w). [back_rewrite(10342),rewrite([12013(8),56(7)])]. 12201 K(x,K(y,z)) * K(y,T(z,u)) = K(y,T(z,x * u)). [back_rewrite(9967),rewrite([12013(8),73(2),75(2),74(2),6619(7),2598(4),5678(5)])]. 12202 K(x * x,y) * L(T(x * x,z),z,y) = T(x * x,T(y,x * x) * z). [back_rewrite(9863),rewrite([12013(8),6619(7)])]. 12247 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [back_rewrite(8507),rewrite([12020(4)])]. 12251 K(x,y * z) * (z \ T(y * z,x)) = T(y,z * K(y * z,x)). [back_rewrite(10509),rewrite([12023(6)])]. 12277 K(x,y) * (z \ K(u,K(y,x) * z)) = T(z * K(y,x),u) \ 1. [back_rewrite(4957),rewrite([12023(6)])]. 12337 K(x * (a(y,z,a(u,w,v5)) * v6),v7) = K(x * v6,v7). [back_rewrite(9338),rewrite([12122(10)])]. 12341 K(x,y * (a(z,u,a(w,v5,v6)) * v7)) = K(x,y * v7). [back_rewrite(8439),rewrite([12122(5)]),flip(a)]. 12343 K(x,y * (z * a(u,w,a(v5,v6,v7)))) = K(x,y * z). [back_rewrite(8303),rewrite([12122(5)]),flip(a)]. 12346 a(x * a(y,z,a(u,w,v5)),v6,v7) = a(x,v6,v7). [back_rewrite(10434),rewrite([12186(8)])]. 12361 L(x * K(y,z),u,w) * K(z,y) = L(x,u * K(y,z),w). [back_rewrite(11575),rewrite([12196(10)])]. 12368 T(x,T(y,T(y,x) \ z)) = T(x,(y \ z) \ z). [back_rewrite(11709),rewrite([12247(7),196(8)])]. 12385 a(x,y * a(z,u,a(w,v5,v6)),v7) = a(x,y,v7). [para(251(a,1),12186(a,1,2)),rewrite([11(6),408(5),547(7),561(7)])]. 12393 T(x / ((y * z) \ u),z \ (y \ u)) = ((y * z) \ u) \ x. [hyper(295,a,412,a(flip),b,12024,a),flip(a)]. 12399 T(x,y \ ((z / y) \ u)) = T(x,z \ u). [para(53(a,1),12024(a,1,2,1)),flip(a)]. 12400 T(x,y \ (z \ (u \ ((u * z) * y)))) = x. [para(54(a,1),12024(a,1,2)),rewrite([561(2),12024(6)]),flip(a)]. 12402 T(x,((y * z) / y) \ u) = T(x,K(z,y) * (z \ u)). [para(147(a,2),12024(a,1,2,1)),rewrite([5754(7)])]. 12409 K(x / ((y * z) \ u),T(w,z \ (y \ u))) = K(((y * z) \ u) \ x,w). [para(12024(a,1),177(a,1,2))]. 12412 T(x,y \ (z \ u)) * K(x * ((z * y) \ u),x) = R(x,(z * y) \ u,x). [para(12024(a,1),192(a,1,1))]. 12422 T(x,L(y \ z,u,w) \ (y \ v5)) = T(x,y \ (L(z / y,u,w) \ v5)). [para(207(a,1),12024(a,1,2,1)),rewrite([12024(5)])]. 12430 K(x,T(y,z \ (u \ w)) * ((u * z) \ w)) = K(x,((u * z) \ w) * y). [para(12024(a,1),229(a,1,2,1))]. 12438 T(x,T((y * z) \ u,w)) = T(x,T(z \ (y \ u),w)). [para(12024(a,1),253(a,1,2)),rewrite([253(7)]),flip(a)]. 12443 ((x * y) \ z) * T(u,y \ (x \ z)) = u * ((x * y) \ z). [para(12024(a,1),410(a,1,2))]. 12444 T(x,T(y,z) \ (z \ u)) = T(x,z \ (y \ u)). [para(410(a,1),12024(a,1,2,1)),rewrite([12024(3)]),flip(a)]. 12445 x / T(y * z,z \ (y \ x)) = (y * z) \ x. [para(12024(a,1),2244(a,1,2))]. 12453 T(x,K(y,z) * ((u * w) \ v5)) = T(x,K(y,z) * (w \ (u \ v5))). [para(7726(a,2),12024(a,1,2,1)),rewrite([7726(3),12013(4),12023(9)])]. 12463 a(T(x,y),z,u) = a(x,z,u). [para(168(a,1),12077(a,1,1))]. 12465 a(x,K(y,z) * u,w) = a(x,u,w). [para(197(a,2),12077(a,1,1)),rewrite([5754(3),73(4),9645(4),149(3),12463(3),9510(3),10338(4)]),flip(a)]. 12466 a(L(K(x,y) * z,u,w),v5,v6) = a(L(z,u * K(x,y),w),v5,v6). [para(207(a,2),12077(a,1,1)),rewrite([9510(2),12361(5),5754(6)]),flip(a)]. 12467 a(T(x,y) * z,u,w) = a(x * z,u,w). [para(7763(a,1),12077(a,1,1))]. 12472 a(T(x,y) \ z,u,w) = a(x \ z,u,w). [para(9113(a,1),12077(a,1,1))]. 12489 K(x * y,z) * ((z * x) * y) = a(z,x,y) * ((x * y) * z). [back_rewrite(11173),rewrite([12465(4)]),flip(a)]. 12491 a(x * K(y,z),u,w) = a(x,u,w). [back_rewrite(10338),rewrite([12465(6)])]. 12496 a(x,y,z) * (x * (K(u,w) * (y * z))) = (x * (K(u,w) * y)) * z. [back_rewrite(9570),rewrite([12465(3)])]. 12516 a(x * (y * (z * z)),u,w) = a(x * y,(z * z) * u,w). [para(7(a,1),12467(a,2,1)),rewrite([346(5),12463(5)]),flip(a)]. 12518 a(L(T(x,y),z,u) * w,v5,v6) = a(L(x,z,u) * w,v5,v6). [para(60(a,1),12467(a,1,1,1))]. 12519 a(R(T(x,y),z,u) * w,v5,v6) = a(R(x,z,u) * w,v5,v6). [para(61(a,1),12467(a,1,1,1))]. 12527 a(R(x,y,x),z,u) = a(x,z,u). [para(192(a,1),12467(a,1,1)),rewrite([12491(6)])]. 12532 a(x * (T(x,y) * z),u,w) = a(x * (x * z),u,w). [para(241(a,1),12467(a,1,1))]. 12534 a((x / y) * z,u,w) = a((y \ x) * z,u,w). [para(246(a,1),12467(a,1,1,1)),flip(a)]. 12535 a(x * T(y,T(T(x,z),u)),w,v5) = a(y * T(x,z),w,v5). [para(251(a,1),12467(a,1,1)),rewrite([1039(4),1391(5),12463(5)]),flip(a)]. 12539 a(x * T(y,z),u,w) = a(x * y,u,w). [para(410(a,1),12467(a,1,1)),rewrite([251(6),12463(7)])]. 12541 a(x * (y * a(z,u,a(w,v5,v6))),v7,v8) = a(x * y,v7,v8). [para(7735(a,1),12467(a,2,1)),rewrite([12346(6),12463(3)]),flip(a)]. 12546 a(x * (K(y,z) * u),w,v5) = a(x * u,w,v5). [para(10078(a,1),12467(a,1,1,1)),rewrite([7725(3),7724(7),12077(8)])]. 12547 a(L(T(x,y),z,u),w,v5) = a(L(x,z,u),w,v5). [para(11561(a,2),12467(a,2,1)),rewrite([60(2),12491(5),11561(7),12491(7)])]. 12550 a(x * y,z,u) = a(y * x,z,u). [back_rewrite(12535),rewrite([12539(5),12539(5)])]. 12554 a(x / y,z,u) = a(y \ x,z,u). [para(49(a,1),12534(a,1,1)),rewrite([49(5)])]. 12556 a((x \ y) * x,z,u) = a(y,z,u). [para(53(a,1),12534(a,1,1)),flip(a)]. 12585 a(x * L(T(y,z),u,w),v5,v6) = a(x * L(y,u,w),v5,v6). [para(60(a,1),12539(a,1,1,2))]. 12586 a(x * R(T(y,z),u,w),v5,v6) = a(x * R(y,u,w),v5,v6). [para(61(a,1),12539(a,1,1,2))]. 12592 a(x * (y / z),u,w) = a(x * (z \ y),u,w). [para(246(a,1),12539(a,1,1,2)),flip(a)]. 12598 a(x * ((y \ z) \ z),u,w) = a(x * y,u,w). [para(411(a,1),12539(a,1,1,2))]. 12617 a((x \ ((y * y) \ z)) * ((y * y) * x),u,w) = a(z,u,w). [para(6(a,2),12556(a,1,1)),rewrite([11965(3),6(6)])]. 12619 a(L(x,y,z) * (z * y),u,w) = a(z * (y * x),u,w). [para(56(a,1),12556(a,1,1,1))]. 12631 a(R(T(x,y),z,u),w,v5) = a(R(x,z,u),w,v5). [para(61(a,1),12463(a,1,1))]. 12650 a(x * ((y * y) * z),u,w) = a(z * x,u,w). [para(5(a,1),12550(a,1,1)),rewrite([11958(4)]),flip(a)]. 12651 a(x * y,(z * z) * u,w) = a(x * y,u,w). [para(5(a,2),12550(a,1,1)),rewrite([5(3),11958(4),7(5),12516(6)]),flip(a)]. 12656 a((T(x,y) * z) * x,u,w) = a(x * (x * z),u,w). [para(241(a,2),12550(a,1,1)),rewrite([241(3),12532(4)]),flip(a)]. 12666 a(a(x,y,a(z,u,w)) * (v5 * v6),v7,v8) = a(v5 * v6,v7,v8). [para(7735(a,1),12550(a,1,1)),rewrite([12541(5)]),flip(a)]. 12667 a(x * (a(y,z,a(u,w,v5)) * v6),v7,v8) = a(v6 * x,v7,v8). [para(7735(a,2),12550(a,1,1)),rewrite([7735(4),12541(5),7732(6)]),flip(a)]. 12669 a(x * (y * (z * a(u,w,a(v5,v6,v7)))),v8,v9) = a((y * z) * x,v8,v9). [para(8319(a,1),12550(a,1,1)),rewrite([12666(6)]),flip(a)]. 12670 a(x * (y * (a(z,u,a(w,v5,v6)) * v7)),v8,v9) = a((y * v7) * x,v8,v9). [para(8385(a,1),12550(a,1,1)),rewrite([12666(6)]),flip(a)]. 12676 a(x * (y * (z * K(u,w))),v5,v6) = a((y * z) * x,v5,v6). [para(9566(a,1),12550(a,1,1)),rewrite([12546(5)]),flip(a)]. 12684 a((x * x) \ y,z,u) = a(y,z,u). [back_rewrite(12617),rewrite([12650(7),51(4)])]. 12686 a(x * (y * (z * z)),u,w) = a(x * y,u,w). [back_rewrite(12516),rewrite([12651(8)])]. 12704 x \ ((y * y) \ (z * ((y * y) * x))) = T(z,(y * y) * x). [hyper(295,a,58,a(flip),b,11965,a),flip(a)]. 12726 T(x,y * y) \ ((y * y) \ z) = (x * (y * y)) \ z. [para(410(a,1),11965(a,1,1)),flip(a)]. 12738 x / T(K(y,z) * u,u \ (K(z,y) * x)) = u \ (K(z,y) * x). [hyper(295,a,2244,a,b,11961,a),rewrite([11961(5)])]. 12745 K(x,K(y,z)) * (K(y,x) * u) = K(y,T(x,z)) * u. [para(149(a,1),11961(a,1,1)),rewrite([2598(2),5754(3),1039(2),73(5),5754(8),73(5),75(5),74(5)]),flip(a)]. 12748 K(x,y) * (z \ (K(y,x) * u)) = T(z,K(x,y)) \ u. [para(197(a,2),11961(a,1,1)),rewrite([5754(3),73(4),9645(4),149(3),9510(5),12023(8)]),flip(a)]. 12782 x / (K(y,z) * (u \ x)) = u * K(z,y). [hyper(271,a,340,a,b,12023,a)]. 12794 K(x,y) * (T(z,K(y,x)) \ u) = z \ (K(x,y) * u). [para(203(a,1),12023(a,1,1)),rewrite([2677(3),2978(3),11961(3)]),flip(a)]. 12822 a(x,y,a(z,u,w)) \ (v5 \ v6) = v5 \ (a(x,y,a(z,u,w)) \ v6). [para(164(a,2),11964(a,1,1)),rewrite([12187(8),10452(6),9718(6),10033(5),11963(4)]),flip(a)]. 12862 (a(x,y,a(z,u,w)) \ (v5 \ v6)) * v7 = (v5 \ (a(x,y,a(z,u,w)) \ v6)) * v7. [hyper(289,a,12822,a)]. 12867 x * (a(y,z,a(u,w,v5)) \ (x \ v6)) = a(y,z,a(u,w,v5)) \ v6. [hyper(5457,a,12822,a(flip))]. 12876 x \ (a(y,z,a(u,w,v5)) \ (v6 * x)) = a(y,z,a(u,w,v5)) \ T(v6,x). [para(58(a,1),12822(a,1,2)),flip(a)]. 12879 a(x,y,a(z,u,w)) \ (v5 \ a(x,y,a(z,u,w))) = v5 \ 1. [para(82(a,1),12822(a,2,2)),rewrite([547(5),11(9)])]. 12894 a(x,y,a(z,u,w)) * (v5 * T(v5 \ (a(x,y,a(z,u,w)) \ v6),v7)) = v5 * T(v5 \ v6,v7). [para(12822(a,2),255(a,2,2,2,1)),rewrite([11963(7),7729(9),9366(18)])]. 12908 (x / y) \ (a(z,u,a(w,v5,v6)) \ x) = a(z,u,a(w,v5,v6)) \ y. [para(340(a,1),12822(a,1,2)),flip(a)]. 12913 x \ (a(y,z,a(u,w,v5)) \ x) = a(y,z,a(u,w,v5)) \ 1. [para(323(a,1),12822(a,1,2)),flip(a)]. 12951 (a(x,y,a(z,u,w)) / v5) \ 1 = a(x,y,a(z,u,w)) \ v5. [para(82(a,1),12908(a,1,2)),rewrite([547(3),11(6)])]. 12981 a(x,y,a(z,u,w)) * (v5 \ 1) = v5 \ a(x,y,a(z,u,w)). [hyper(5457,a,12879,a)]. 12990 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(12879(a,2),263(a,1,1)),rewrite([12879(6),5548(5),149(6)]),flip(a)]. 12999 (x \ 1) * a(y,z,a(u,w,v5)) = x \ a(y,z,a(u,w,v5)). [para(12879(a,1),6592(a,1,1))]. 13007 ((x \ y) \ 1) * K(y \ x,z) = T((x \ y) \ 1,z). [back_rewrite(10618),rewrite([12990(12)])]. 13028 (1 / x) \ a(y,z,a(u,w,v5)) = a(y,z,a(u,w,v5)) * x. [para(340(a,1),12981(a,1,2)),flip(a)]. 13033 a(x,y,a(z,u,w)) * ((v5 \ 1) * v6) = (v5 \ a(x,y,a(z,u,w))) * v6. [para(12981(a,1),7687(a,2,1)),rewrite([41(5),48(8)])]. 13034 (x \ a(y,z,a(u,w,v5))) * a(v6,v7,a(v8,v9,v10)) = a(y,z,a(u,w,v5)) * (x \ a(v6,v7,a(v8,v9,v10))). [para(12981(a,1),7735(a,1,1)),rewrite([12999(13)])]. 13037 a(x,y,a(z,u,w)) * (v5 * (v6 \ 1)) = v5 * (v6 \ a(x,y,a(z,u,w))). [para(12981(a,1),8362(a,2,2))]. 13042 (x \ 1) \ (y * (x \ a(z,u,a(w,v5,v6)))) = T(y * a(z,u,a(w,v5,v6)),x \ 1). [para(12981(a,1),11664(a,1,2,2)),rewrite([5531(5)])]. 13043 (x \ 1) \ (a(y,z,a(u,w,v5)) \ v6) = (x \ a(y,z,a(u,w,v5))) \ v6. [para(12981(a,1),11892(a,2,1)),rewrite([5534(11)])]. 13059 L(x,y,z * a(u,w,a(v5,v6,v7))) = L(x,y,z). [para(251(a,1),12121(a,1,3)),rewrite([11(6),408(5),547(7),561(7)])]. 13063 L(x,y,(z * u) * a(w,v5,v6)) = L(x,y,z * (u * a(w,v5,v6))). [para(7687(a,1),12121(a,1,3))]. 13064 L(x,y,z * (a(u,w,a(v5,v6,v7)) * v8)) = L(x,y,z * v8). [para(8362(a,1),12121(a,1,3))]. 13067 L(x,y,z \ a(u,w,a(v5,v6,v7))) = L(x,y,z \ 1). [para(12981(a,1),12121(a,1,3))]. 13086 T(x,T(y * K(z,K(u,w)),v5)) = T(x,T(y,v5)). [para(168(a,1),3044(a,1,2)),rewrite([1366(9),168(7)])]. 13117 L(T(x,y / L(x,z,u)),z,u) = L(T(x,L(x,z,u) \ y),z,u). [hyper(295,a,60,a(flip),b,3334,a),rewrite([60(8)])]. 13130 T(x * K(y,x),z / x) = T(x * K(y,x),x \ z). [para(3334(a,1),178(a,1,1)),rewrite([3334(4),178(6)]),flip(a)]. 13162 K(x * y,z) * K(x,K(y,z)) = K(y * x,z). [hyper(7088,a,168,a(flip),b,9213,a),rewrite([2598(3),2530(3),562(5),8523(6),610(6),2598(4),3676(4),562(5),8523(6),8923(8),73(7),12190(7)]),flip(a)]. 13186 x * (K(y,T(z,x)) * u) = K(y,z) * (x * u). [hyper(5081,a,7724,a,b,9213,a),rewrite([7724(3),2598(5),10693(9)]),flip(a)]. 13215 ((x * T(y,z)) * (T(z,y) * u)) / (y * (z * u)) = R(x,T(y,z),T(z,y) * u). [para(9213(a,1),57(a,1,2))]. 13216 T(T(x,y),z) * (T(y,T(x,z)) * u) = T(x,z) * (y * u). [para(59(a,1),9213(a,1,1))]. 13218 L(T(x,y),z,u) * (T(y,x) * w) = L(x,z,u) * (y * w). [para(60(a,1),9213(a,1,1)),rewrite([6174(4)])]. 13224 T(x,y) * (z * K(y,z * T(x,y))) = (y * (x * z)) / T(y,x). [para(9213(a,1),147(a,1,1)),rewrite([1039(10),10720(10),7726(10)]),flip(a)]. 13226 K(x,y) * (z * x) = z * T(x,T(y,z)). [para(149(a,1),9213(a,1,2)),rewrite([8884(4),1039(5),149(6)])]. 13263 x * (y * (K(x,y) * z)) = T(x,y) * (y * z). [para(235(a,1),9213(a,1,2,1)),rewrite([186(3),196(2),7725(6)]),flip(a)]. 13286 T(x,y) * (z * T(y,x)) = T(x * (z * y),K(x,y)). [para(410(a,1),9213(a,1,2)),rewrite([251(7),562(7),9669(8)])]. 13287 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(412(a,1),9213(a,1,1)),rewrite([3334(3)])]. 13288 T(x,x \ y) * ((x \ y) * z) = x * ((y / x) * z). [para(412(a,1),9213(a,1,2,1)),rewrite([3334(2)])]. 13293 a(x,T(y,z),T(z,y) * u) * (x * (y * (z * u))) = (x * T(y,z)) * (T(z,y) * u). [para(9213(a,1),7687(a,1,2,2))]. 13325 T(x,y) * (y * (x * z)) = x * (y * (T(x,y) * z)). [para(9213(a,1),9213(a,1,2))]. 13328 T((x * (K(y,z) * T(u,x))) / x,u) = (x * (u * K(y,z))) / T(x,u). [back_rewrite(11419),rewrite([13224(8)]),flip(a)]. 13343 ((x * (y * K(z,u))) / T(x,y)) \ (T(y,x) * K(z,u)) = K(T(y,x) * K(z,u),x). [back_rewrite(11417),rewrite([13328(6)])]. 13349 K(x,T(T(y,z),z * u)) = K(x,T(y,u)). [hyper(7088,a,7724,a,b,13288,a),rewrite([5754(3),2598(4),9756(4),5754(4),7724(5),2598(6),9756(6),5754(6),7724(7),9510(10),5739(11),11961(11),9543(10),6619(9),2598(6),5678(7)])]. 13351 a(x,y,a(z,u,w)) \ T(v5,v6) = T(a(x,y,a(z,u,w)) \ v5,v6). [hyper(7088,a,13288,a,b,8362,a(flip)),rewrite([6706(3),8415(7),547(13),8364(14),11963(9),12876(9)]),flip(a)]. 13352 a(x,y,a(z,u,w)) \ (v5 * v6) = (a(x,y,a(z,u,w)) \ v5) * v6. [hyper(5083,a,7729,a,b,13288,a),rewrite([547(6),6706(7),51(8)])]. 13396 ((x \ y) \ y) * ((x \ y) * z) = x * ((y / x) * z). [para(58(a,2),13288(a,1,1)),rewrite([51(3)])]. 13431 T(x,y * (z * (K(u,K(w,v5)) * v6))) = T(x,y * (z * v6)). [para(13288(a,2),230(a,1,2,2)),rewrite([5754(5),73(4),75(4),74(4),4773(6,R),776(6),2598(3),2598(2),1373(3),5754(5),73(4),75(4),74(4),7724(6),5746(7),9510(6),73(5),75(5),74(5),7725(7)]),flip(a)]. 13472 (x * (K(y,z) * u)) \ (K(y,z) * w) = (T(x,K(z,y)) * u) \ w. [para(13288(a,2),11961(a,1,1)),rewrite([5754(3),2598(4),9756(4),5754(4),7724(5),9085(6),74(2),7755(4),9510(6),7725(7)]),flip(a)]. 13477 K(x,T(T(y,z),u * z)) = K(x,T(y,u)). [back_rewrite(2656),rewrite([13349(8)])]. 13530 L(T(x,L(x,y,z) \ u),y,z) \ u = T(L(x,y,z) \ u,x). [hyper(7088,a,53,a(flip),b,6488,a),rewrite([11562(3),13117(6),6174(7),196(6),13117(7)]),flip(a)]. 13542 K(x,y) * (L(y,z,u) * x) = x * L(y,z,u). [hyper(295,a,7763,a,b,6488,a),rewrite([2195(4)])]. 13622 T(x,y) * (y * L(x,z,u)) = x * (L(x,z,u) * y). [para(6488(a,1),9213(a,1,2)),rewrite([2195(7)])]. 13631 T(K(x,y) * K(x,y),z) = K(x,y) * K(x,y). [hyper(7088,a,13622,a,b,7724,a),rewrite([5678(3),2598(6),5678(8),10794(9),50(9)])]. 13641 x * (L(x,y,z) * (x \ u)) = x * ((u / x) * L(x,y,z)). [hyper(295,a,13288,a(flip),b,13622,a),flip(a)]. 13654 L(x,y,z) * x = x * L(x,y,z). [hyper(5083,a,241,a(flip),b,13622,a(flip)),rewrite([409(1),50(4)]),flip(a)]. 13695 (x / y) * (y * L(y \ x,z,u)) = (y \ x) * (y * L(x / y,z,u)). [para(207(a,1),13622(a,2,2)),rewrite([412(2)]),flip(a)]. 13749 x \ (K(y,z) * (K(y,z) * u)) = K(y,z) * (K(y,z) * (x \ u)). [para(13622(a,2),11961(a,1,1)),rewrite([2598(2),5678(4),10794(5),12013(5),12023(4),5678(7),11961(10)]),flip(a)]. 13757 (x \ y) \ (y / x) = K(x,x \ y). [hyper(5081,a,238,a(flip),b,801,a),rewrite([412(4)]),flip(a)]. 13770 L(x \ K(y,z),x,T(z,y)) = (T(z,y) * x) \ z. [para(801(a,1),11892(a,1,1,2))]. 13777 a(x,(y * y) * z,u) = a(x,z,u). [para(7(a,2),12546(a,1,1)),rewrite([7(4),12686(5),12491(3),346(4)]),flip(a)]. 13783 a(x * L(K(y,z) * u,w,v5),v6,v7) = a(x * L(u,w * K(y,z),v5),v6,v7). [para(207(a,2),12546(a,1,1,2)),rewrite([9510(2),12361(5),5754(7)]),flip(a)]. 13786 a(x * (T(y,z) * u),w,v5) = a(x * (y * u),w,v5). [para(7763(a,1),12546(a,1,1,2))]. 13787 a(a(x,y,a(z,u,w)) * v5,v6,v7) = a(v5,v6,v7). [para(8362(a,1),12546(a,1,1)),rewrite([12667(6),12491(3)]),flip(a)]. 13791 a(x * (T(y,z) \ u),w,v5) = a(x * (y \ u),w,v5). [para(9113(a,1),12546(a,1,1,2))]. 13792 a(x * (y * (K(z,u) * w)),v5,v6) = a(x * (y * w),v5,v6). [para(13288(a,2),12546(a,1,1,2)),rewrite([5754(3),2598(4),9756(4),5754(4),7724(5),9085(6),74(2),7755(4),13786(5),9510(5),7725(6)]),flip(a)]. 13798 a(x * (y * y),z,u) = a(x,z,u). [back_rewrite(346),rewrite([13777(6)])]. 13808 a((x * y) * a(z,u,w),v5,v6) = a(x * (y * a(z,u,w)),v5,v6). [para(7687(a,1),13787(a,1,1))]. 13812 a((T(x,y) \ z) * u,w,v5) = a(u * (x \ z),w,v5). [hyper(295,a,12550,a,b,13791,a)]. 13816 a(x * (L(T(y,z),u,w) \ v5),v6,v7) = a(x * (L(y,u,w) \ v5),v6,v7). [para(60(a,1),13791(a,1,1,2,1))]. 13826 a(x * ((y / z) \ u),w,v5) = a(x * ((z \ y) \ u),w,v5). [para(246(a,1),13791(a,1,1,2,1)),flip(a)]. 13829 a(x * (y \ (K(z,u) * w)),v5,v6) = a(x * (y \ w),v5,v6). [para(10078(a,1),13791(a,1,1,2,1)),rewrite([12023(3),12546(5),11961(6)]),flip(a)]. 13835 a((x / y) \ z,u,w) = a((y \ x) \ z,u,w). [hyper(295,a,13787,a(flip),b,13826,a),rewrite([13787(9)])]. 13838 a(((x / y) \ z) * u,w,v5) = a(((y \ x) \ z) * u,w,v5). [para(6(a,1),13826(a,1,1)),rewrite([12650(6),6(9),12650(10)])]. 13874 a((x * (K(y,z) * u)) * w,v5,v6) = a(w * (x * u),v5,v6). [hyper(295,a,12550,a,b,13792,a)]. 13887 a(x * (y * T(z,u)),w,v5) = a(x * (y * z),w,v5). [para(168(a,1),13792(a,1,1,2,2))]. 13888 a(x * R(y,z,y),u,w) = a(y * x,u,w). [para(192(a,1),13792(a,2,1,2)),rewrite([12676(8),7725(4),12546(5),12467(3)]),flip(a)]. 13892 a(x * (y * L(K(z,u) * w,v5,v6)),v7,v8) = a(x * (y * L(w,v5 * K(z,u),v6)),v7,v8). [para(207(a,2),13792(a,1,1,2,2)),rewrite([9510(2),12361(5),5754(8)]),flip(a)]. 13911 a(x,(y * y) \ z,u) = a(x,z,u). [para(51(a,1),13777(a,1,2)),flip(a)]. 13922 a(x,T(y,z * z),u) = a(x,y,(z * z) * u). [para(410(a,1),13777(a,1,2)),rewrite([345(3)]),flip(a)]. 13927 a(x,T(y,z),u) = a(x,y,u). [para(168(a,1),12465(a,1,2))]. 13929 a(x,y,K(z,u) * w) = a(x,y,w). [para(197(a,2),12465(a,1,2)),rewrite([5754(3),73(4),9645(4),149(3),13927(3),9510(3),10085(4)]),flip(a)]. 13930 a(x,L(K(y,z) * u,w,v5),v6) = a(x,L(u,w * K(y,z),v5),v6). [para(207(a,2),12465(a,1,2)),rewrite([9510(2),12361(5),5754(6)]),flip(a)]. 13932 a(x,T(y,z) * u,w) = a(x,y * u,w). [para(7763(a,1),12465(a,1,2))]. 13933 a(x,(y * z) * u,w) = a(x,(z * y) * u,w). [para(7452(a,1),12465(a,1,2))]. 13936 a(x,T(y,z) \ u,w) = a(x,y \ u,w). [para(9113(a,1),12465(a,1,2))]. 13937 a(x,y * (K(z,u) * w),v5) = a(x,y * w,v5). [para(13288(a,2),12465(a,1,2)),rewrite([5754(3),2598(4),9756(4),5754(4),7724(5),9085(6),74(2),7755(4),13932(4),9510(4),7725(5)]),flip(a)]. 13938 a(x,y,(z * z) * u) = a(x,y,u). [back_rewrite(13922),rewrite([13927(3)]),flip(a)]. 13944 a(x,y,T(z,y) * u) * (x * (y * (z * u))) = (x * T(y,z)) * (T(z,y) * u). [back_rewrite(13293),rewrite([13927(4)])]. 13948 a(x,R(y,z,y),u) = a(x,y,u). [back_rewrite(10245),rewrite([13929(5),13927(2)]),flip(a)]. 13950 a(x,y,T(T(z,y),u)) * (x * (K(z,u) * (y * z))) = (x * T(y,z)) * T(T(z,y),u). [back_rewrite(8809),rewrite([13927(4)])]. 13955 a(x,y,T(z,y)) * (x * (y * z)) = (x * T(y,z)) * T(z,y). [back_rewrite(7757),rewrite([13927(3)])]. 13971 a(x,y * (z * K(u,w)),v5) = a(x,y * z,v5). [back_rewrite(10215),rewrite([13929(8)])]. 13972 a(x,y * K(z,u),w) = a(x,y,w). [back_rewrite(10085),rewrite([13929(6)])]. 13980 a(x,y * (z * z),u) = a(x,y,u). [back_rewrite(345),rewrite([13938(6)])]. 13983 a(x,y,T(z,u)) = a(x,y,z). [para(168(a,1),13929(a,1,3))]. 13984 a(x,y,z * K(u,w)) = a(x,y,z). [para(197(a,2),13929(a,1,3)),rewrite([5754(3),73(4),9645(4),149(3),13983(3),9510(3)]),flip(a)]. 13987 a(x,y,z) * (x * (y * (K(u,w) * z))) = (x * y) * (K(u,w) * z). [para(13929(a,1),7687(a,1,1))]. 13988 a(x,y,T(z,u) * w) = a(x,y,z * w). [para(7763(a,1),13929(a,1,3))]. 13992 a(x,y,T(z,u) \ w) = a(x,y,z \ w). [para(9113(a,1),13929(a,1,3))]. 13993 a(x,y,z * (K(u,w) * v5)) = a(x,y,z * v5). [para(13288(a,2),13929(a,1,3)),rewrite([5754(3),2598(4),9756(4),5754(4),7724(5),9085(6),74(2),7755(4),13988(4),9510(4),7725(5)]),flip(a)]. 13995 (x * T(y,z)) * T(z,y) = (x * y) * z. [back_rewrite(13955),rewrite([13983(2),7687(4)]),flip(a)]. 13996 (x * T(y,z)) * T(T(z,y),u) = (x * (K(z,u) * y)) * z. [back_rewrite(13950),rewrite([13983(3),13983(2),12496(6)]),flip(a)]. 13999 a(x,y,z) \ (z * (x * y)) = L(z,y,x) * (x * y). [back_rewrite(11859),rewrite([13983(3)])]. 14017 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,y). [back_rewrite(6615),rewrite([13983(8)])]. 14032 (x * T(y,z)) * (T(z,y) * u) = (x * y) * (z * u). [back_rewrite(13944),rewrite([13988(3),7687(6)]),flip(a)]. 14037 R(x,T(y,z),T(z,y) * u) = R(x,y,z * u). [back_rewrite(13215),rewrite([14032(5),57(6)]),flip(a)]. 14059 T(x,K(y,y \ (x * z))) * z = T(x * z,K(z,y)). [hyper(7088,a,197,a(flip),b,13995,a),rewrite([2598(9),1391(10),9724(9),2598(9),5754(13),1039(9),11081(13),1205(12),1343(9),251(10),53(8),562(8)])]. 14100 (x * T(y,K(z,z \ (x * y)))) \ (z * ((x * y) / z)) = K(z,T(z \ (x * y),y)). [hyper(5083,a,197,a(flip),b,13995,a),rewrite([2598(13)])]. 14153 K(T(x,y) * z,y) = K(x * z,y). [para(13995(a,1),55(a,1,2)),rewrite([13286(4),11204(7),73(4),12190(4),6775(2),75(3),2661(6),181(3),3743(6)]),flip(a)]. 14158 (x * T(T(y,z),u)) * T(z,T(y,u)) = (x * T(y,u)) * z. [para(59(a,1),13995(a,1,1,2))]. 14160 (x * L(T(y,z),u,w)) * T(z,y) = (x * L(y,u,w)) * z. [para(60(a,1),13995(a,1,1,2)),rewrite([6174(5)])]. 14227 (x * y) * T(y,x) = (y * x) * y. [para(410(a,1),13995(a,1,1))]. 14229 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(412(a,1),13995(a,1,1,2)),rewrite([3334(4)])]. 14246 (x * (K(y,z) * u)) * u = (x * u) * (u * K(y,z)). [para(10078(a,1),13995(a,1,1,2)),rewrite([4773(6),11420(6),562(5),9566(6),410(5)]),flip(a)]. 14272 ((x * (y * K(z,u))) / T(x,y)) \ (T(y,x) * K(z,u)) = K(y * K(z,u),x). [back_rewrite(13343),rewrite([14153(13)])]. 14312 x * (L(T(y,K(z,x * L(y,u,w))),u,w) * K(L(y,u,w) * x,z)) = T(x * L(y,u,w),z). [hyper(5081,a,149,a(flip),b,14160,a),rewrite([562(7),2598(13),11564(13),7726(13)]),flip(a)]. 14337 T(x * K(y * L(T(z,x),u,w),x),z) = ((y * L(z,u,w)) * x) / (y * L(T(z,x),u,w)). [para(14160(a,1),147(a,1,1)),rewrite([178(14)]),flip(a)]. 14382 (x * L(y \ z,u,w)) * T(y,y \ z) = (x * L(z / y,u,w)) * y. [para(412(a,1),14160(a,1,1,2,1)),rewrite([3334(5)])]. 14408 T(x * y,T(y,x)) = T(x * y,y). [hyper(7088,a,14227,a,b,14227,a),rewrite([14227(7),9095(7),10800(7),409(5)])]. 14415 T(x,y * y) * (y * y) = T(x * (y * y),y * y). [hyper(7088,a,7,a(flip),b,14227,a),rewrite([14408(5),9084(11),7763(9)]),flip(a)]. 14433 T(x * x,y * (x * x)) = T(x * x,y). [hyper(5083,a,7,a(flip),b,14227,a),rewrite([58(7)])]. 14434 T(x,x * (y * y)) = T(x,y * y). [hyper(5083,a,6,a(flip),b,14227,a),rewrite([58(6),4773(3)])]. 14441 (x * L(y,z,u)) * L(T(y,x),z,u) = (L(y,z,u) * x) * L(y,z,u). [hyper(5081,a,6488,a,b,14227,a),rewrite([6488(8),60(8)]),flip(a)]. 14463 (T(x,y) * y) * x = (x * y) * T(x,y). [hyper(5083,a,14227,a(flip),b,7452,a),rewrite([5754(4),8630(4)])]. 14494 K(x,T(y,z * x)) = K(x,T(y,z)). [para(14227(a,2),171(a,1,1,1)),rewrite([14227(3),147(4),6775(2,R),173(4),3545(6)])]. 14531 (a(x,y,z) * u) * u = u * (a(x,y,z) * u). [para(561(a,1),14227(a,1,2)),rewrite([7751(6)])]. 14591 K(x * (y * y),y * y) * x = T(x,y * y). [hyper(7088,a,14463,a,b,6,a(flip)),rewrite([410(4),14434(3),410(6),14415(8),8951(10)]),flip(a)]. 14617 T(x,y) * a(z,u,a(w,v5,v6)) = T(x * a(z,u,a(w,v5,v6)),y). [hyper(5083,a,7735,a,b,14463,a(flip)),rewrite([7732(4),10452(9),8385(10),14463(9),7735(13),7735(12),12009(14),50(13),50(8)])]. 14675 T(x,(y * z) * T(y,z)) = T(x,(z * y) * y). [para(14463(a,1),230(a,1,2)),rewrite([7724(4),7724(9),213(10),8711(7),8978(11),14246(9),3044(10)])]. 14770 a(x,L(T(y,z),u,w) * v5,v6) = a(x,L(y,u,w) * v5,v6). [para(60(a,1),13932(a,1,2,1))]. 14771 a(x,R(T(y,z),u,w) * v5,v6) = a(x,R(y,u,w) * v5,v6). [para(61(a,1),13932(a,1,2,1))]. 14777 a(x,(y / z) * u,w) = a(x,(z \ y) * u,w). [para(246(a,1),13932(a,1,2,1)),flip(a)]. 14778 a(x,y * T(z,T(T(y,u),w)),v5) = a(x,z * T(y,u),v5). [para(251(a,1),13932(a,1,2)),rewrite([1039(4),1391(5),13927(5)]),flip(a)]. 14782 a(x,y * T(z,u),w) = a(x,y * z,w). [para(410(a,1),13932(a,1,2)),rewrite([251(6),13927(7)])]. 14785 a(x,L(T(y,z),u,w),v5) = a(x,L(y,u,w),v5). [para(11561(a,2),13932(a,2,2)),rewrite([60(2),13972(5),11561(7),13972(7)])]. 14787 a(x,y * (T(z,y) * u),w) = a(x,y * (z * u),w). [para(9213(a,1),13932(a,1,2)),flip(a)]. 14788 a(x,y * ((z / y) * u),w) = a(x,y * ((y \ z) * u),w). [para(13288(a,1),13932(a,1,2))]. 14794 a(x,y * z,u) = a(x,z * y,u). [back_rewrite(14778),rewrite([14782(5),14782(5)])]. 14797 a(x,L(T(y,z),u,w) \ v5,v6) = a(x,L(y,u,w) \ v5,v6). [para(60(a,1),13936(a,1,2,1))]. 14805 a(x,(y / z) \ u,w) = a(x,(z \ y) \ u,w). [para(246(a,1),13936(a,1,2,1)),flip(a)]. 14808 a(x,y \ (K(z,u) * w),v5) = a(x,y \ w,v5). [para(10078(a,1),13936(a,1,2,1)),rewrite([12023(3),12465(4),11961(5)]),flip(a)]. 14826 a(x,R(T(y,z),u,w),v5) = a(x,R(y,u,w),v5). [para(61(a,1),13927(a,1,2))]. 14827 a(x,y / z,u) = a(x,z \ y,u). [para(246(a,1),13927(a,1,2)),flip(a)]. 14829 a(x,y,z) * (x * (T(y,u) * z)) = (x * T(y,u)) * z. [para(13927(a,1),7687(a,1,1))]. 14846 a(x,((y * y) \ z) * u,w) = a(x,z * u,w). [hyper(5081,a,13777,a(flip),b,14788,a),rewrite([14788(10),325(9)])]. 14883 a(x,y * L(T(z,u),w,v5),v6) = a(x,y * L(z,w,v5),v6). [para(60(a,1),14782(a,1,2,2))]. 14887 a(x,y * (z / u),w) = a(x,y * (u \ z),w). [para(246(a,1),14782(a,1,2,2)),flip(a)]. 14922 a(x,y * ((z * z) * u),w) = a(x,u * y,w). [para(5(a,1),14794(a,1,2)),rewrite([13777(4)]),flip(a)]. 14968 a(x,y \ z,u) * (x * ((z / y) * u)) = (x * (z / y)) * u. [para(14827(a,1),7687(a,1,1))]. 14969 a(x,y,L(T(z,u),w,v5) \ v6) = a(x,y,L(z,w,v5) \ v6). [para(60(a,1),13992(a,1,3,1))]. 14980 a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5). [para(10078(a,1),13992(a,1,3,1)),rewrite([12023(3),13929(4),11961(5)]),flip(a)]. 14982 a(x,y,(z \ u) \ u) = a(x,y,z). [para(411(a,2),13992(a,2,3)),rewrite([13992(4),13983(6)])]. 14986 a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)). [para(60(a,1),13983(a,1,3))]. 14987 a(x,y,R(T(z,u),w,v5)) = a(x,y,R(z,w,v5)). [para(61(a,1),13983(a,1,3))]. 14988 a(x,y,z / u) = a(x,y,u \ z). [para(246(a,1),13983(a,1,3)),flip(a)]. 15003 T(a(x,y,z) * u,T(w,u)) = T(u * a(x,y,z),w). [hyper(7088,a,1143,a,b,164,a),rewrite([11427(7),2045(6),186(7),196(6),5754(9),1316(9)]),flip(a)]. 15010 a(x,y,z) \ T(a(x,y,z) * u,K(w,v5)) = T(u,K(w,v5) * a(x,y,z)). [hyper(7088,a,1143,a,b,7725,a(flip)),rewrite([11961(12),9533(11),562(9)]),flip(a)]. 15012 a(x,y,z) \ T(a(x,y,z) * u,w * w) = T(u,(w * w) * a(x,y,z)). [hyper(7088,a,1143,a,b,6,a(flip)),rewrite([11965(12),406(11)]),flip(a)]. 15015 L(a(x,y,z),u,w) * (w * u) = w * (u * a(x,y,z)). [hyper(5083,a,1143,a,b,7687,a),rewrite([13999(6)])]. 15021 (a(x,y,a(z,u,w)) \ a(v5,v6,v7)) * (v8 * (a(x,y,a(z,u,w)) * v9)) = (v8 * v9) * a(v5,v6,v7). [hyper(5083,a,1143,a,b,8385,a(flip)),rewrite([13352(9)])]. 15026 (x * a(y,z,u)) * a(y,z,u) = a(y,z,u) * (a(y,z,u) * x). [hyper(5081,a,14227,a,b,1143,a),rewrite([547(4)])]. 15031 a(x,y,z) * (u * a(w,v5,a(v6,v7,v8))) = u * (a(w,v5,a(v6,v7,v8)) * a(x,y,z)). [hyper(5081,a,7732,a(flip),b,1143,a),flip(a)]. 15037 (L(a(x,y,z),u,w) * v5) * a(x,y,z) = a(x,y,z) * (v5 * L(a(x,y,z),u,w)). [hyper(295,a,13622,a,b,1143,a),rewrite([547(2)]),flip(a)]. 15038 ((a(x,y,z) \ u) * w) * a(x,y,z) = a(x,y,z) * ((a(x,y,z) \ u) * w). [hyper(295,a,13288,a,b,1143,a),rewrite([547(4),6706(7)]),flip(a)]. 15040 L(x,y,z) * a(u,w,v5) = a(u,w,v5) * L(x,y,z). [hyper(295,a,6488,a,b,1143,a),rewrite([547(2),561(3)]),flip(a)]. 15045 (a(x,y,z) * u) / w = (u * a(x,y,z)) / w. [hyper(291,a,1143,a)]. 15049 T(x,K(y,z)) * a(u,w,v5) = T(a(u,w,v5) * x,K(y,z)). [hyper(7088,a,1143,a(flip),b,7726,a),rewrite([7725(9),5754(10),9542(10),562(6)]),flip(a)]. 15050 x \ (K(y,z) * (x * a(u,w,v5))) = T(a(u,w,v5) * K(y,z),x). [hyper(7088,a,1143,a(flip),b,7725,a),rewrite([7724(8)]),flip(a)]. 15051 T(a(x,y,z) * u,w) = T(u * a(x,y,z),w). [hyper(7088,a,1143,a(flip),b,164,a),rewrite([11427(7),2045(6),186(7),196(6),5754(9),1316(9),561(7)])]. 15053 (x * x) \ (y * ((x * x) * a(z,u,w))) = T(a(z,u,w) * y,x * x). [hyper(7088,a,1143,a(flip),b,7,a),rewrite([6(9)]),flip(a)]. 15057 (a(x,y,z) * u) \ (u * (K(w,v5) * a(x,y,z))) = K(w,v5). [hyper(5083,a,1143,a(flip),b,7726,a),rewrite([7725(6)])]. 15065 (x * (y * a(z,u,w))) \ ((x * a(z,u,w)) * y) = a(x,a(z,u,w),y). [para(1143(a,1),54(a,1,1,2))]. 15071 (a(x,y,z) * u) \ ((u * w) * a(x,y,z)) = L(w,u,a(x,y,z)). [para(1143(a,1),56(a,1,2))]. 15076 (a(x,y,z) * (u * w)) / (w * a(x,y,z)) = R(u,w,a(x,y,z)). [para(1143(a,2),57(a,1,1))]. 15082 T(x * a(y,z,u),K(x,w)) = x * a(y,z,u). [para(1143(a,1),251(a,2,1)),rewrite([547(3)]),flip(a)]. 15086 K(x,y * (a(z,u,w) * v5)) = K(x,y * (v5 * a(z,u,w))). [para(1143(a,1),260(a,1,2,2)),rewrite([7725(5),4653(7)]),flip(a)]. 15104 a(a(x,y,z),u,w) * ((u * w) * a(x,y,z)) = (a(x,y,z) * u) * w. [para(1143(a,1),7687(a,1,2))]. 15107 K(x,y) * (a(z,u,w) * x) = T(x,y) * a(z,u,w). [para(1143(a,2),7763(a,1,2))]. 15112 (x * (K(y,z) * a(u,w,v5))) * v6 = (x * a(u,w,v5)) * (K(y,z) * v6). [para(1143(a,1),9566(a,1,1,2))]. 15116 L(x,y,a(z,u,w)) \ ((y * x) * a(z,u,w)) = T(a(z,u,w) * y,x). [para(1143(a,1),11664(a,1,2))]. 15117 L(a(x,y,z),u,w) \ (w * (a(x,y,z) * u)) = w * u. [para(1143(a,2),11664(a,1,2,2)),rewrite([561(9)])]. 15118 T(x,a(y,z,u) \ (w \ v5)) = T(x,w \ (a(y,z,u) \ v5)). [para(1143(a,1),12024(a,1,2,1)),rewrite([12024(4)])]. 15119 a(x * y,z,u) * w = w * a(y * x,z,u). [para(12550(a,1),1143(a,1,1))]. 15121 a(x,y,z) \ (K(u,w) * v5) = K(u,w) * (a(x,y,z) \ v5). [para(1143(a,2),11961(a,1,1)),rewrite([12023(4)]),flip(a)]. 15139 K(x,K(y,z * a(u,w,v5))) * z = T(z,a(u,w,v5) * K(y,x)). [hyper(5083,a,155,a(flip),b,15015,a),rewrite([5539(6),600(6)]),flip(a)]. 15140 T(a(x,y,z) * u,K(w,u)) = u * a(x,y,z). [hyper(5083,a,15015,a,b,9138,a),rewrite([5538(4),5754(6),9533(6),562(4)])]. 15157 (x * (y * a(z,u,w))) / (x * y) = L(a(z,u,w),y,x). [hyper(267,a,53,a,b,15015,a)]. 15159 (a(x,y,z) * ((u * u) * w)) * v5 = (u * u) * ((w * a(x,y,z)) * v5). [para(15015(a,2),5(a,1,1)),rewrite([320(3)])]. 15174 a(x,y,z) * T(u,K(w,v5)) = T(a(x,y,z) * u,K(w,v5)). [para(152(a,1),15015(a,1,2)),rewrite([74(3),5539(4),74(6),7763(9),15049(8)])]. 15180 K(x * (y * a(z,u,w)),T(v5,x * y)) = K(x * (y * a(z,u,w)),v5). [para(15015(a,1),181(a,1,1)),rewrite([380(10)])]. 15203 a(a(x,y,z),u,w) * (v5 * a(v6,v7,v8)) = a(v6,v7,v8) * (a(a(x,y,z),u,w) * v5). [para(5536(a,1),15015(a,1,1)),flip(a)]. 15213 (a(x,y,z) * (K(u,w) * v5)) * v6 = K(u,w) * ((v5 * a(x,y,z)) * v6). [para(15015(a,2),7724(a,1,1)),rewrite([5539(3)])]. 15227 (a(x,y,z) * (K(u,w) * v5)) \ v6 = (v5 * a(x,y,z)) \ (K(w,u) * v6). [para(15015(a,2),11961(a,1,1)),rewrite([5539(3)])]. 15263 L(a(x,y,a(z,u,w)) * a(v5,v6,a(v7,v8,v9)),v10,v11) = a(v5,v6,a(v7,v8,v9)) * a(x,y,a(z,u,w)). [hyper(5083,a,8385,a,b,15031,a(flip)),rewrite([7735(8),7735(7),9314(9)])]. 15266 L(x,y * a(z,u,a(w,v5,v6)),a(v7,v8,v9)) = (y * a(v7,v8,v9)) \ ((y * x) * a(v7,v8,v9)). [para(15031(a,1),56(a,1,1)),rewrite([7732(10),12009(12),13352(11),15021(11)]),flip(a)]. 15308 T((x * y) * a(z,u,w),K(v5,x * y)) = (x * y) * a(z,u,w). [hyper(5083,a,15082,a,b,8385,a(flip)),rewrite([8385(8),12337(13),562(11),15010(12),12132(9)])]. 15316 T(T(a(x,y,z) \ u,w) * a(x,y,z),K(v5,a(x,y,z) \ u)) = a(x,y,z) * T(a(x,y,z) \ u,w). [hyper(5081,a,165,a(flip),b,15082,a),rewrite([6706(7),6706(12),1039(14),1391(15),562(14)]),flip(a)]. 15318 T(x * a(y,z,u),K(w,x) * v5) = T(x * a(y,z,u),v5). [para(15082(a,1),59(a,1,1)),rewrite([11427(8)]),flip(a)]. 15334 x * (a(y,z,u) * K(x,w)) = T(x,w) * a(y,z,u). [para(15082(a,1),410(a,1,2)),rewrite([7763(4),7726(7)]),flip(a)]. 15336 T(R(x,y,z) * a(u,w,v5),K(x,v6)) = a(u,w,v5) * R(x,y,z). [para(15082(a,2),5593(a,1,2)),rewrite([11(2),6332(6),48(7)])]. 15366 (x * (a(y,z,u) * w)) / (x * w) = L(a(y,z,u),w,x). [para(410(a,2),15157(a,1,1,2)),rewrite([561(3)])]. 15384 (a(x,y,z) * (u * a(w,v5,v6))) / (u * a(x,y,z)) = L(a(w,v5,v6),u,a(x,y,z)). [para(1143(a,1),15157(a,1,2))]. 15432 T(a(x,y,z) * u,K(w,u) * v5) = T(u * a(x,y,z),v5). [para(410(a,2),15318(a,1,1)),rewrite([561(3)])]. 15498 K(x,T(a(y,z,u) * w,v5)) = K(x,T(w * a(y,z,u),v5)). [para(15051(a,1),171(a,2,2)),rewrite([171(5)])]. 15516 T((x * (a(y,z,u) * w)) / x,v5) = T((x * (w * a(y,z,u))) / x,v5). [para(15051(a,1),223(a,1,1,2)),rewrite([223(5)]),flip(a)]. 15553 T(x,y * a(z,u,w)) * (T(a(z,u,w) * y,x) * v5) = x * ((y * a(z,u,w)) * v5). [para(15051(a,2),9213(a,1,2,1))]. 15559 a(x * ((a(y,z,u) * w) \ v5),v6,v7) = a(x * ((w * a(y,z,u)) \ v5),v6,v7). [para(15051(a,1),13791(a,1,1,2,1)),rewrite([13791(6)]),flip(a)]. 15573 a(x,y,(a(z,u,w) * v5) \ v6) = a(x,y,(v5 * a(z,u,w)) \ v6). [para(15051(a,1),13992(a,1,3,1)),rewrite([13992(5)]),flip(a)]. 15582 a(x * y,z,u) \ (a(y * x,z,u) * w) = w. [hyper(7088,a,15119,a,b,210,a),rewrite([70(5),49(4),561(3),70(5),49(4),561(7)]),flip(a)]. 16055 T(a(x,y,z) * u,w) / (u * a(x,y,z)) = K(u * a(x,y,z),w). [hyper(5142,a,15051,a,b,168,a)]. 16127 (x * T(x \ y,z)) / T(x \ (a(u,w,a(v5,v6,v7)) \ y),z) = a(u,w,a(v5,v6,v7)) * x. [hyper(5142,a,8362,a,b,165,a(flip)),rewrite([9269(8),12894(9),11963(7)])]. 16270 x * ((y / x) * K(y,T(z,x))) = T(x * (y / x),z). [hyper(5142,a,197,a,b,164,a),rewrite([197(3),10703(5),9510(5),1039(4),7726(5)])]. 16284 T(x,K(y,z) * u) / T(x,u) = K(x,K(z,y)). [hyper(5142,a,182,a,b,155,a),rewrite([182(4),11427(3),1373(8),75(7),74(7)])]. 16497 (a(x,y,a(z,u,w)) * ((v5 * v6) * v7)) / (v5 * (v6 * (a(x,y,a(z,u,w)) * v7))) = a(v5,v6,v7). [hyper(5142,a,8319,a(flip),b,7687,a),rewrite([7732(9),12385(15)])]. 16532 (x * (K(y,z) * (K(u,w) * v5))) / v5 = x * (K(y,z) * K(u,w)). [hyper(5142,a,7725,a(flip),b,9566,a)]. 16568 a(x,y,a(z,u,w)) * x = R(x,y,a(z,u,w)). [hyper(5142,a,7687,a(flip),b,7729,a),rewrite([57(6)]),flip(a)]. 16569 a(x,y,y) * x = R(x,y,y). [hyper(5142,a,7687,a(flip),b,7,a),rewrite([57(4)]),flip(a)]. 16617 (T(x,y) * z) / T(T(x,z),y) = z. [hyper(5142,a,265,a(flip),b,8362,a(flip)),rewrite([9331(7),51(6),13352(8),58(9),9331(10),9331(9),51(8)])]. 16660 K(x / R(y,z,u),y) = K(R(y,z,u) \ x,y). [hyper(5142,a,207,a(flip),b,5593,a),rewrite([6288(11),5679(4),6159(7)]),flip(a)]. 16679 x * T(y,K(z,z \ (x * y))) = T(x * y,K(z,y)). [hyper(5142,a,197,a(flip),b,13995,a),rewrite([2598(7),9510(8),1039(7),7726(8),1191(7),1343(4),251(5),53(3)]),flip(a)]. 16726 T(x * y,K(x,z)) / y = T(x,K(z,x * y)). [hyper(5142,a,155,a(flip),b,7763,a(flip))]. 16745 x / (T(y,x / (y * z)) * z) = T(x / (y * z),y). [hyper(5142,a,53,a(flip),b,9213,a)]. 16747 (x / (a(y,z,a(u,w,v5)) * v6)) * a(y,z,a(u,w,v5)) = x / v6. [hyper(5142,a,53,a(flip),b,7732,a),flip(a)]. 16749 (x / (K(y,z) * u)) * K(y,z) = x / u. [hyper(5142,a,53,a(flip),b,7725,a),flip(a)]. 16751 (x / ((y * y) * z)) * (y * y) = x / z. [hyper(5142,a,53,a(flip),b,6,a),flip(a)]. 16894 (R(x,y,z) \ u) * R(x,y,z) = u * K(R(x,y,z) \ u,x). [back_rewrite(10941),rewrite([16660(7)])]. 16895 K(x,K(y,z)) * K(z,z \ (x * y)) = K(z,T(z \ (x * y),y)). [back_rewrite(14100),rewrite([16679(5),562(3),9106(7),73(3),4463(3),74(2)])]. 16922 x \ (y * a(z,u,a(w,v5,v6))) = (x \ y) * a(z,u,a(w,v5,v6)). [hyper(5083,a,15082,a,b,8271,a),rewrite([15082(5)])]. 16924 x \ (y * (z * a(u,w,a(v5,v6,v7)))) = (x \ (y * z)) * a(u,w,a(v5,v6,v7)). [hyper(5083,a,13995,a,b,8271,a),rewrite([561(3),547(4),7735(4)])]. 16925 x \ T(y * a(z,u,a(w,v5,v6)),v7) = (x \ T(y,v7)) * a(z,u,a(w,v5,v6)). [hyper(5083,a,7763,a,b,8271,a),rewrite([7763(5),14617(4)])]. 16926 x \ (y * (a(z,u,a(w,v5,v6)) * v7)) = (x \ (y * v7)) * a(z,u,a(w,v5,v6)). [hyper(5083,a,7452,a,b,8271,a),rewrite([7735(5),9138(6),7763(5),14617(4),410(5),7732(4)])]. 16927 x \ (a(y,z,a(u,w,v5)) * v6) = (x \ v6) * a(y,z,a(u,w,v5)). [hyper(5083,a,6592,a,b,8271,a),rewrite([16922(5),7732(7),9390(7)])]. 17022 L(x,y,z) * a(u,w,a(v5,v6,v7)) = L(a(u,w,a(v5,v6,v7)) * x,y,z). [back_rewrite(9314),rewrite([16926(7),56(4)])]. 17060 a(x,y,a(z,u,w)) * L(v5,v6,v7) = L(a(x,y,a(z,u,w)) * v5,v6,v7). [hyper(295,a,1143,a,b,17022,a)]. 17070 x \ L(a(y,z,a(u,w,v5)) * v6,v7,v8) = (x \ L(v6,v7,v8)) * a(y,z,a(u,w,v5)). [hyper(5083,a,17022,a(flip),b,8271,a)]. 17073 a(x,y,a(z,u,w)) \ L(v5,v6,v7) = L(a(x,y,a(z,u,w)) \ v5,v6,v7). [hyper(5083,a,17022,a(flip),b,207,a(flip)),rewrite([6706(7),51(8)])]. 17086 L(a(x,y,a(z,u,w)) * v5,v6,v7) * v8 = L(v5,v6,v7) * (a(x,y,a(z,u,w)) * v8). [para(17022(a,1),7687(a,2,1)),rewrite([44(4),48(7)]),flip(a)]. 17090 L(a(x,y,a(z,u,w)) * v5,v6,v7) \ v8 = a(x,y,a(z,u,w)) \ (L(v5,v6,v7) \ v8). [para(17022(a,1),11892(a,2,1)),rewrite([5531(9)]),flip(a)]. 17092 L(x,y,L(a(z,u,a(w,v5,v6)) * v7,v8,v9)) = L(x,y,L(v7,v8,v9)). [para(17022(a,1),13059(a,1,3))]. 17093 a(L(a(x,y,a(z,u,w)) * v5,v6,v7),v8,v9) = a(L(v5,v6,v7),v8,v9). [para(17022(a,1),12546(a,2,1)),rewrite([12541(7),12491(4)]),flip(a)]. 17132 T(x,K(y,y \ x) * z) = T(x,z). [hyper(7088,a,13995,a,b,7776,a),rewrite([13995(13),11961(11),10821(10),58(6)])]. 17249 x \ T(x * y,K(z,z \ x)) = T(y,K(z,z \ x)). [hyper(5083,a,9670,a(flip),b,7776,a),rewrite([53(2),238(3),2399(9),5739(11)])]. 17258 K(x,x \ y) * ((x * (y / x)) \ z) = y \ z. [hyper(5083,a,51,a(flip),b,7776,a),flip(a)]. 17281 x * T(y,K(z,z \ x)) = T(x * y,K(z,z \ x)). [hyper(5081,a,9670,a(flip),b,7776,a),rewrite([53(2),238(3),2399(8),5739(10)]),flip(a)]. 17304 T(x,y) \ ((z * (x / z)) * y) = T(K(z,z \ x) * y,x). [hyper(7088,a,7776,a(flip),b,410,a),rewrite([17132(7),9831(5),17132(8)]),flip(a)]. 17334 T(x,y) \ ((z * (x / z)) * u) = K(y,x) * (K(z,z \ x) * u). [hyper(5083,a,7776,a(flip),b,7760,a)]. 17356 K(x,K(y,y \ x) * z) = K(x,z). [para(7776(a,1),55(a,1,2)),rewrite([7724(4),11961(8),10821(7),55(3)]),flip(a)]. 17384 T(x,y * ((z / y) * K(u,T(z,y)))) = T(x,T(y * (z / y),u)). [para(7776(a,2),186(a,1,2)),rewrite([10703(5),7776(6),7726(5)])]. 17508 x * (a(y,z,u) * K(w,w \ x)) = (w * (x / w)) * a(y,z,u). [para(1143(a,2),7776(a,1,2))]. 17515 K(x,x \ y) * T(z,y) = T(K(x,x \ y) * z,y). [back_rewrite(17304),rewrite([17334(5),8564(5)])]. 17628 (x * a(y,z,a(u,w,v5))) / v6 = (x / v6) * a(y,z,a(u,w,v5)). [hyper(5083,a,8362,a,b,7713,a(flip)),rewrite([16922(6),12187(7),197(5),16927(6),50(3)]),flip(a)]. 17629 (a(x,y,a(z,u,w)) * v5) / v6 = (v5 / v6) * a(x,y,a(z,u,w)). [hyper(5083,a,7729,a,b,7713,a(flip)),rewrite([16927(7),12187(8),7726(6),197(5),16927(6),50(3)]),flip(a)]. 17630 (x * (a(y,z,a(u,w,v5)) * v6)) / v7 = ((x * v6) / v7) * a(y,z,a(u,w,v5)). [hyper(5083,a,7732,a(flip),b,7713,a(flip)),rewrite([7732(6),16926(7),12187(8),8433(8),16927(7),50(4),7732(9)]),flip(a)]. 17740 a(x,y,z * (u * K(w,v5))) = a(x,y,z * u). [para(7713(a,2),13929(a,1,3)),rewrite([5754(4),73(5),9645(5),74(3),75(3),10537(5),13983(4),9510(5),7726(5)]),flip(a)]. 17743 x * (K(y,y \ (x * a(z,u,w))) * a(z,u,w)) = y * ((x * a(z,u,w)) / y). [para(1143(a,1),7713(a,1,2))]. 17764 (((x * y) * z) / (x * (y * (a(u,w,a(v5,v6,v7)) * z)))) * a(u,w,a(v5,v6,v7)) = a(x,y,z). [back_rewrite(16497),rewrite([17629(11)])]. 17777 R(x,y,z) * a(u,w,a(v5,v6,v7)) = R(a(u,w,a(v5,v6,v7)) * x,y,z). [back_rewrite(10002),rewrite([17629(7),57(4)])]. 17807 x * (a(y,z,a(u,w,v5)) * R(v6,v7,v8)) = x * R(a(y,z,a(u,w,v5)) * v6,v7,v8). [back_rewrite(11003),rewrite([17777(4)]),flip(a)]. 17830 (x * T(y,a(z,u,w) * x)) * a(z,u,w) = L(y,x,a(z,u,w)) * (a(z,u,w) * x). [hyper(295,a,1143,a(flip),b,11786,a)]. 17832 x * ((y * y) * (z * T(u,x * ((y * y) * z)))) = L(u,z,x * (y * y)) * (x * ((y * y) * z)). [hyper(295,a,6,a(flip),b,11786,a),rewrite([6(4),6(14)])]. 17843 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(5142,a,265,a(flip),b,11786,a(flip)),rewrite([856(7),11892(8)])]. 17880 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [para(51(a,1),11786(a,1,2,2,2)),rewrite([51(8)])]. 17899 K(x,K(y,z)) * (u * y) = u * T(y,K(x,z)). [para(152(a,1),11786(a,1,2,2,2)),rewrite([610(5),410(4),5539(7),152(7)])]. 17950 T(x,y) * (z * (K(y,x) * u)) = x * (T(z,K(x,y)) * u). [para(11786(a,1),7760(a,1,2)),rewrite([5539(3),9682(9)])]. 17957 K(x,T(y * (z * u),y * z)) = K(x,L(u,z,y) * (y * z)). [para(11786(a,2),7197(a,2,2)),rewrite([380(3),11786(9)])]. 17971 (x * T(y,(z * z) * x)) \ ((z * z) \ u) = (y * ((z * z) * x)) \ u. [para(11786(a,1),11965(a,1,1)),rewrite([320(2)]),flip(a)]. 18069 K(x,y) * T(z,K(y,x) * u) = T(z,u) * K(x,y). [para(73(a,1),4081(a,2,2)),rewrite([2598(3),1391(4),9760(4),548(11)])]. 18106 K(x,T(y,z) * K(u,w)) = K(x,K(w,u) * T(y,z)). [para(4081(a,1),261(a,1,2)),rewrite([73(5),548(6),2598(7),1391(8),9760(8),9806(10)])]. 18143 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(2598(a,1),4081(a,1,2,1)),rewrite([2717(3),2598(3),2598(6),4099(9)])]. 18151 T(x,K(y,z) * u) \ (K(y,z) * w) = K(y,z) * (T(x,u) \ w). [para(4081(a,1),11961(a,1,1)),rewrite([73(5),548(6),12023(4),2598(6),1391(7),9760(7)]),flip(a)]. 18162 a((x * T(y,z)) * u,w,v5) = a(u * (x * y),w,v5). [para(4081(a,1),13792(a,1,1,2,2)),rewrite([73(5),548(6),12676(6),2598(6),1391(7),9760(7),13887(10)])]. 18222 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(5142,a,7760,a(flip),b,845,a),rewrite([11492(4)])]. 18235 T(T(x,K(x,y) * z),u) = T(T(x,u),z). [hyper(5083,a,9138,a,b,845,a),rewrite([9138(8),7770(8),11961(8),1039(2),8574(7),58(3),2921(6)]),flip(a)]. 18239 x \ T(a(y,z,a(u,w,v5)) * v6,v7) = (x \ T(v6,v7)) * a(y,z,a(u,w,v5)). [hyper(5083,a,845,a,b,8271,a),rewrite([561(5),9331(4)])]. 18285 (x * (T(y,z) * u)) \ ((x * u) * T(T(y,u),z)) = a(x,u,y). [para(845(a,1),54(a,1,1,2)),rewrite([13983(11),13983(10)])]. 18308 T(x,y) * T(T(z,x),u) = K(x,y) * (T(z,u) * x). [para(245(a,1),845(a,1,2,1)),rewrite([8870(6)]),flip(a)]. 18312 T(x,T(T(y,z) * u,y)) = T(x,u * T(y,z)). [para(845(a,1),262(a,1,2,1)),rewrite([2948(6),2948(5),2496(8)])]. 18461 (x * (T(y,x * z) * z)) \ (T(y,z) * (x * z)) = a(x,z,y). [para(410(a,1),18285(a,1,2))]. 18525 (x * (a(y,z,u) * w)) \ (a(y,z,u) * (x * w)) = a(x,w,a(y,z,u)). [hyper(5081,a,5528,a,b,18461,a),rewrite([5528(3),547(5),547(7)]),flip(a)]. 18602 (a(x,y,z) * (T(u,w * a(x,y,z)) * w)) \ (T(u,w) * (a(x,y,z) * w)) = a(a(x,y,z),w,u). [para(1143(a,1),18461(a,1,1,2,1,2))]. 18642 x * y != z | T(x,y) = y \ z. [para(410(a,1),5306(a,1)),flip(b)]. 18710 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(337(a,1),207(a,1,1,1)),flip(a)]. 18716 x / y != z | z \ x = y. [para(337(a,1),277(a,1)),flip(a)]. 18733 L(T(x,y),z,u) * (T(x,y) \ w) = L(x,z,u) * (x \ w). [hyper(5081,a,7760,a,b,18710,a),rewrite([60(2),5537(4),9113(5),18710(10)])]. 18753 (L(x,y,z) * (x \ u)) / L(x,y,z) = u / x. [para(18710(a,2),147(a,1,1)),rewrite([18710(5),6159(9),147(9,R),51(7)])]. 18792 K(x,y) * (L(y,z,u) * (y \ w)) = L(y,z,u) * (T(y,x) \ w). [para(18710(a,2),9138(a,1,2)),rewrite([5537(2),18710(6),5537(8),9113(9)])]. 18820 L(x,y,z) * (K(x,u) * w) = L(T(x,u),y,z) * w. [para(50(a,1),18733(a,1,2)),rewrite([8951(7)]),flip(a)]. 18824 ((T(x,y) \ z) * L(T(x,y),u,w)) \ (L(x,u,w) * (x \ z)) = K(x,T(T(x,y) \ z,y)). [para(18733(a,1),55(a,1,2)),rewrite([6159(14),1039(13)])]. 18848 L(x / y,z,u) * ((x / y) \ w) = L(y \ x,z,u) * ((y \ x) \ w). [para(246(a,1),18733(a,1,1,1)),rewrite([246(5)]),flip(a)]. 18887 K(x,y) * T(z,K(x,y) * u) = T(z,u) * K(x,y). [hyper(5081,a,9510,a,b,845,a),rewrite([9510(3),562(6),9760(7)]),flip(a)]. 18893 a(x \ (K(y,z) * u),w,v5) = a(x \ u,w,v5). [para(9510(a,1),13835(a,1,1,1)),rewrite([12023(3),12077(4),5754(4),11961(5)]),flip(a)]. 18927 T(x * K(y,z),K(z,y) * u) = T(K(y,z) * x,u). [para(51(a,1),10268(a,1,2,2)),rewrite([5754(2),11961(4),9460(4),5754(7)]),flip(a)]. 18951 T(x,y) \ (z * (K(u,w) * x)) = K(y,x) * T(z * K(u,w),x). [para(10268(a,1),9113(a,1,2)),flip(a)]. 19053 x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z). [hyper(5457,a,2467,a)]. 19072 x \ K(y,K(z,x \ 1)) = T(x \ 1,K(y,z)). [para(152(a,1),2467(a,1,2,1,2)),rewrite([3169(5),74(4),75(4),2598(5),2598(4),1373(5),75(9),2598(10),2598(9),1373(10),155(12)])]. 19129 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(295,a,336,a(flip),b,403,a)]. 19130 R(x,y / z,z) * y = (x * (y / z)) * z. [hyper(269,a,52,a,b,403,a)]. 19139 R(x / (y / z),y / z,z) = (x * z) / y. [para(53(a,1),403(a,1,1,1)),flip(a)]. 19148 (((x / y) * T((x / y) \ z,u)) * y) / x = R(T(z / (x / y),u),x / y,y). [para(165(a,1),403(a,1,1,1))]. 19172 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(2244(a,1),403(a,1,1,1,2)),rewrite([14229(5),403(4),2244(5)]),flip(a)]. 19179 R(x,y / (a(z,u,a(w,v5,v6)) * v7),a(z,u,a(w,v5,v6)) * v7) = R(x,y / v7,v7). [para(7732(a,2),403(a,1,1)),rewrite([7735(8),16747(7),403(4)]),flip(a)]. 19225 (x \ (y * (a(z,u,a(w,v5,v6)) \ v7))) * a(z,u,a(w,v5,v6)) = x \ (y * v7). [hyper(5083,a,19130,a,b,8271,a),rewrite([6706(3),8281(6),6706(5)]),flip(a)]. 19227 R(x,a(y,z,u) \ w,a(y,z,u)) * w = (x * (a(y,z,u) \ w)) * a(y,z,u). [hyper(5081,a,15082,a,b,19130,a),rewrite([6706(2),6706(7),562(10),15308(10),6706(7)]),flip(a)]. 19228 (x * (a(y,z,u) \ w)) * a(y,z,u) = a(y,z,u) * (x * (a(y,z,u) \ w)). [hyper(5081,a,15031,a,b,19130,a),rewrite([7735(10),16747(9),6706(3),19179(15),6706(7),19227(10)]),flip(a)]. 19300 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(203(a,2),19130(a,2,1)),rewrite([3375(3),50(2),14463(6)])]. 19335 a(x,y,a(z,u,w)) * ((v5 * (v6 * (a(x,y,a(z,u,w)) \ v7))) * v8) = (v5 * (v6 * v7)) * v8. [para(19130(a,2),8319(a,1,1,2)),rewrite([6706(3),8281(6),6706(8)]),flip(a)]. 19389 R(x,a(y,z,u) \ w,a(y,z,u)) * w = a(y,z,u) * (x * (a(y,z,u) \ w)). [back_rewrite(19227),rewrite([19228(10)])]. 19390 (x * y) \ (a(z,u,w) * (x * (a(z,u,w) \ y))) = a(x,a(z,u,w) \ y,a(z,u,w)). [back_rewrite(7578),rewrite([19228(6)])]. 19395 (a(x,y,a(z,u,w)) \ v5) * v6 = v5 * (a(x,y,a(z,u,w)) \ v6). [hyper(7088,a,7729,a,b,19228,a),rewrite([561(7),7729(13),9304(13),13352(8)]),flip(a)]. 19397 (x * (a(y,z,a(u,w,v5)) \ v6)) * v7 = (x * v6) * (a(y,z,a(u,w,v5)) \ v7). [hyper(5142,a,8385,a,b,19228,a),rewrite([8385(8),9304(8),6706(5),13352(5),13352(4),19395(4)])]. 19403 a(x,y,z) * (K(u,w) * (a(x,y,z) \ v5)) = K(u,w) * v5. [hyper(295,a,7724,a(flip),b,19228,a),rewrite([6592(5)]),flip(a)]. 19409 a(x,y,z) \ ((u * u) * w) = (u * u) * (a(x,y,z) \ w). [hyper(5083,a,5,a(flip),b,19228,a(flip)),rewrite([6592(6)])]. 19412 a(x,a(y,z,u),w) * (v5 * (a(x,a(y,z,u),w) \ v6)) = v5 * v6. [para(5529(a,2),19228(a,1,1,2,1)),rewrite([5529(3),7734(7),6592(6)]),flip(a)]. 19418 T(x,(a(y,z,u) \ w) \ (v5 \ (a(y,z,u) \ v6))) = T(x,a(y,z,u) \ ((v5 * (a(y,z,u) \ w)) \ v6)). [para(19228(a,1),12024(a,1,2,1)),rewrite([12024(7),12024(7)])]. 19427 T(a(x,y,z) * K(u,w),a(x,y,z) \ v5) = (a(x,y,z) \ v5) \ (K(u,w) * v5). [para(19228(a,2),10268(a,1,2)),rewrite([19228(8),19403(8)]),flip(a)]. 19453 a(x,y,a(z,u,w)) \ (v5 * v6) = v5 * (a(x,y,a(z,u,w)) \ v6). [back_rewrite(13352),rewrite([19395(8)])]. 19456 (x \ (a(y,z,a(u,w,v5)) \ v6)) * v7 = (x \ v6) * (a(y,z,a(u,w,v5)) \ v7). [back_rewrite(12862),rewrite([19395(5)]),flip(a)]. 19501 ((x * y) * z) / (y * (T(x,y) * z)) = a(y,x,z). [para(410(a,1),7337(a,1,1,1)),rewrite([13927(8)])]. 19508 a(x,y,a(z,u,a(w,v5,v6)) * v7) = a(x,y,v7). [para(8362(a,2),7337(a,1,1)),rewrite([17629(11),17764(11)]),flip(a)]. 19511 ((x * R(x,y,z)) * u) / (R(x,y,z) * (x * u)) = a(R(x,y,z),x,u). [para(11009(a,1),7337(a,1,1,1))]. 19512 ((x * R(y,z,u)) * y) / (x * (y * R(y,z,u))) = a(x,R(y,z,u),y). [para(11009(a,1),7337(a,1,2,2))]. 19550 R(x,y,z) \ K(x \ 1,x) = T(R(x,y,z) \ 1,x). [hyper(7088,a,48,a(flip),b,16894,a),rewrite([6492(5),5550(9)]),flip(a)]. 19564 T(x / R(y,z,u),y) = R(y,z,u) \ x. [hyper(5142,a,10078,a,b,16894,a),rewrite([9005(4),16660(3),10334(5),9005(4),16660(3),8779(6)])]. 19581 K(R(x,y,z) \ x,x) * ((R(x,y,z) \ x) \ x) = R(x,y,z). [hyper(5083,a,256,a,b,16894,a),rewrite([256(10),11192(7)])]. 19613 T(R(x,y,z) \ u,w) \ (u * K(R(x,y,z) \ u,x)) = K(w,R(x,y,z) \ u) * R(x,y,z). [hyper(5083,a,16894,a(flip),b,7760,a)]. 19619 K(x,K(y,z)) * (u * K(x,K(y,z))) = u. [para(12(a,1),16894(a,2,2)),rewrite([5676(3),5754(3),73(2),75(2),74(2),5676(6),7726(6),49(8)])]. 19637 T(x,y * K(R(z,u,w) \ y,z)) = T(x,T(y,z)). [para(16894(a,2),162(a,2,2)),rewrite([9005(4),16660(3),4809(10),6492(7)])]. 19655 T((R(x,y,z) \ x) * R(x,y,z),R(x,y,z) \ x) = x. [para(16894(a,2),235(a,1,1))]. 19811 K(x,x \ (T(y,z) * z)) = K(x,x \ (y * ((y * z) / y))). [para(6049(a,1),238(a,1,2)),rewrite([238(5)]),flip(a)]. 19876 T(T(x,y) \ z,K(x,y)) = (x \ z) * K(y,x). [hyper(7088,a,235,a,b,11215,a),rewrite([1671(12),11774(11),9760(12),5754(13),18887(13),235(9)])]. 19893 T(x,T(y,z)) * K(y,z) = T(x * K(y,z),T(y,z)). [para(58(a,1),11215(a,1,1)),rewrite([11783(7),11427(9),2045(8),186(9)])]. 19895 (L(T(x,y),z,u) \ w) * K(x,y) = T(L(x,z,u) \ w,K(x,y)). [para(60(a,1),11215(a,1,1,1)),rewrite([6159(5),6159(9)])]. 19907 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(11215(a,2),174(a,1,1)),rewrite([11215(4),9510(5),11774(5),11438(5),9113(3),2598(6),11707(6),9510(6),1039(5)]),flip(a)]. 19925 (x \ K(y,x)) * K(x,y) = T(x \ 1,K(x,y)). [para(225(a,1),11215(a,1,1))]. 19929 K(x,y * (T(z,K(u,w)) \ v5)) = K(x,y * (z \ v5)). [para(11215(a,1),232(a,1,2,2)),rewrite([548(4)]),flip(a)]. 19939 T(x,K(y,z) * (T(z,y) \ u)) = T(x,z \ u). [para(11215(a,2),253(a,2,2)),rewrite([73(4),75(4),74(4),149(5),9760(6),9113(5),11494(6),11215(9),610(9)])]. 19961 K(x,y) * ((z \ u) * K(z,K(y,x))) = z \ (K(x,y) * u). [para(10078(a,1),11215(a,1,1,1)),rewrite([12023(3),6775(6),11418(6),75(5),74(5),7726(6),11961(9),6775(12),11418(12),75(11),74(11),548(12)])]. 19962 K(x,y) * ((L(z,u,w) \ v5) * K(z,K(y,x))) = L(z,u,w) \ (K(x,y) * v5). [para(11561(a,1),11215(a,1,1,1)),rewrite([12023(4),11591(8),75(6),74(6),7726(7),11961(11),11591(15),75(13),74(13),548(14)])]. 19964 T((x \ y) \ y,K(z,x \ y)) = T(x,T(x \ y,z)). [para(411(a,2),11215(a,2,1)),rewrite([11215(6),562(5),562(10),11427(10),168(9)])]. 19966 K(x,y) * ((T(y,x) \ z) \ u) = T(y \ z,K(y,x)) \ u. [para(11215(a,1),11892(a,2,1)),rewrite([5754(5),5538(9)])]. 19981 T(L(T(x,y),z,u) \ w,K(x,y)) = (L(x,z,u) \ w) * K(y,x). [hyper(7088,a,235,a,b,19895,a),rewrite([1671(15),11774(14),9760(15),5754(16),18887(16),235(12)])]. 20003 T(L(x,y,z) \ u,K(x,w)) / (L(T(x,w),y,z) \ u) = K(x,T(w,L(T(x,w),y,z) \ u)). [para(19895(a,1),147(a,1,1)),rewrite([74(14),75(14),2752(15)])]. 20018 K(x,y) * (L(T(x,y),z,u) \ w) = L(x,z,u) \ w. [para(19895(a,1),203(a,2,2,1)),rewrite([19981(5),7726(6),77(5),49(4),20003(13),2978(11)]),flip(a)]. 20053 (L(x * K(y,z),u,w) \ v5) * K(x,K(y,z)) = L(K(y,z) * x,u,w) \ v5. [para(10078(a,1),19895(a,1,1,1,1)),rewrite([6775(7),11418(7),75(6),74(6),6775(14),11418(14),75(13),74(13),548(14)])]. 20060 a(L(T(x,y),z,u) \ w,v5,v6) = a(L(x,z,u) \ w,v5,v6). [para(19895(a,1),12467(a,2,1)),rewrite([12491(7),12463(5),12463(9)])]. 20070 x \ (y * (x * a(a(z,u,w),v5,v6))) = T(a(a(z,u,w),v5,v6) * y,x). [hyper(7088,a,410,a,b,7727,a),rewrite([547(9),7733(8)]),flip(a)]. 20086 (a(a(x,y,z),u,w) * (v5 * v6)) / v6 = a(a(x,y,z),u,w) * v5. [hyper(5142,a,9213,a,b,7727,a),rewrite([547(3),561(5)])]. 20089 a(a(x,y,z),u,w) * a(x,y,z) = R(a(x,y,z),u,w). [hyper(5142,a,7687,a(flip),b,7727,a),rewrite([57(5)]),flip(a)]. 20094 a(a(x,y,z),u,w) \ (v5 * v6) = (a(a(x,y,z),u,w) \ v5) * v6. [hyper(5083,a,7727,a,b,13288,a),rewrite([547(6),6706(7),51(8)])]. 20095 a(a(x,y,z),u,w) * (v5 * (a(a(x,y,z),u,w) \ v6)) = v5 * v6. [hyper(5081,a,19228,a,b,7727,a),rewrite([7733(7),6592(6),7727(8)]),flip(a)]. 20134 (a(a(x,y,z),u,w) \ v5) * (a(a(x,y,z),u,w) * v6) = v5 * v6. [hyper(5083,a,7452,a,b,7727,a(flip)),rewrite([11(5),7730(7),48(8),20094(7)])]. 20139 x * T(y,a(a(z,u,w),v5,v6) * x) = y * x. [hyper(5083,a,410,a(flip),b,7727,a(flip)),rewrite([20094(7),20134(7)]),flip(a)]. 20145 x \ (a(a(y,z,u),w,v5) * (x * v6)) = a(a(y,z,u),w,v5) * v6. [hyper(5083,a,7727,a(flip),b,410,a(flip)),rewrite([20139(7)])]. 20152 a(a(a(x,y,z),u,w) * v5,v6,v7) = a(v5,v6,v7). [para(7727(a,1),54(a,1,1)),rewrite([7727(9),7727(10),11962(11),50(10),54(5)]),flip(a)]. 20153 K(x,a(a(y,z,u),w,v5) * v6) = K(x,v6). [para(7727(a,1),55(a,1,1)),rewrite([11962(9),20094(8),20134(8),55(3)]),flip(a)]. 20154 (x * (a(a(y,z,u),w,v5) * v6)) \ (a(a(y,z,u),w,v5) * (v6 * x)) = K(a(a(y,z,u),w,v5) * v6,x). [para(7727(a,1),55(a,1,2))]. 20156 L(x,y,a(a(z,u,w),v5,v6) * v7) = L(x,y,v7). [para(7727(a,1),56(a,1,1)),rewrite([7727(9),11962(10),50(9),56(4)]),flip(a)]. 20158 R(a(a(x,y,z),u,w),v5,v6) = a(a(x,y,z),u,w). [para(7727(a,1),57(a,1,1)),rewrite([52(6)]),flip(a)]. 20189 (x * (y * a(a(z,u,w),v5,v6))) * v7 = a(a(z,u,w),v5,v6) * ((x * y) * v7). [para(7727(a,2),9670(a,1,1)),rewrite([7727(4),70(8),49(6),7727(5),7733(9),11(14),408(12)]),flip(a)]. 20196 a(x * (a(a(y,z,u),w,v5) * v6),v7,v8) = a(v6 * x,v7,v8). [para(7727(a,1),12550(a,1,1)),rewrite([20152(5)]),flip(a)]. 20197 a(x * (y * a(a(z,u,w),v5,v6)),v7,v8) = a(x * y,v7,v8). [para(7727(a,2),12550(a,1,1)),rewrite([7727(4),20152(5),7733(6)]),flip(a)]. 20204 a(x,a(a(y,z,u),w,v5) * (v6 * v7),v8) = a(x,v6 * (v7 * a(a(y,z,u),w,v5)),v8). [para(7727(a,2),14794(a,1,2)),rewrite([7727(4),7733(9)])]. 20215 (x * (a(a(y,z,u),w,v5) * v6)) * v7 = a(a(y,z,u),w,v5) * ((x * v6) * v7). [para(11786(a,1),7727(a,1,1)),rewrite([5536(3),20139(12)])]. 20231 L(x,y,a(a(z,u,w),v5,v6) \ v7) = L(x,y,v7). [para(51(a,1),20156(a,1,3)),flip(a)]. 20234 L(x,y,z * a(a(u,w,v5),v6,v7)) = L(x,y,z). [para(251(a,1),20156(a,1,3)),rewrite([11(6),408(5),547(7),561(7)])]. 20235 L(x,y,(a(z,u,w) * v5) * v6) = L(x,y,a(z,u,w) * (v5 * v6)). [para(7687(a,1),20156(a,1,3))]. 20240 L(x,y,z * (a(a(u,w,v5),v6,v7) * v8)) = L(x,y,z * v8). [para(11786(a,1),20156(a,1,3)),rewrite([5536(3),20139(10)])]. 20242 L(x,y,z * (a(a(u,w,v5),v6,v7) \ v8)) = L(x,y,z * v8). [para(19228(a,2),20156(a,1,3)),rewrite([7733(7),6592(6)]),flip(a)]. 20246 a(x * a(a(y,z,u),w,v5),v6,v7) = a(x,v6,v7). [hyper(5081,a,20152,a(flip),b,20152,a),rewrite([20196(8)]),flip(a)]. 20248 a(a(a(x,y,z),u,w) \ v5,v6,v7) = a(v5,v6,v7). [para(51(a,1),20152(a,1,1)),flip(a)]. 20253 a((a(x,y,z) * u) * w,v5,v6) = a(a(x,y,z) * (u * w),v5,v6). [para(7687(a,1),20152(a,1,1))]. 20266 T(x,a(a(y,z,u),w,v5) * v6) = T(x,v6). [hyper(295,a,58,a(flip),b,11962,a),rewrite([20094(11),20134(11),58(6)])]. 20287 (x * a(a(y,z,u),w,v5)) \ v6 = x \ (a(a(y,z,u),w,v5) \ v6). [para(251(a,1),11962(a,1,1)),rewrite([11(6),408(5),547(7),561(7)])]. 20305 (x * (a(a(y,z,u),w,v5) * v6)) \ v7 = (x * v6) \ (a(a(y,z,u),w,v5) \ v7). [para(11786(a,1),11962(a,1,1)),rewrite([5536(3),20266(9),410(7)])]. 20318 K(a(a(x,y,z),u,w) * v5,v6) = K(v5,v6). [back_rewrite(20154),rewrite([20305(9),50(8),55(3)]),flip(a)]. 20337 K(x,K(y,z * a(u,w,v5))) = K(z,K(x,y)). [para(152(a,1),15076(a,1,1,2)),rewrite([15174(4),16055(7),74(4),75(4),74(6),5676(8)])]. 20358 (a(x,y,z) * (u * w)) / (a(x,y,z) * w) = R(u,w,a(x,y,z)). [para(410(a,2),15076(a,1,2)),rewrite([561(6)])]. 20359 (x * a(y,z,u)) \ (a(y,z,u) * (w * x)) = R(T(w,x * a(y,z,u)),x,a(y,z,u)). [para(15076(a,1),412(a,1,1)),rewrite([61(5)]),flip(a)]. 20361 ((x * y) * z) / ((y * z) * a(x,y,z)) = R(x,y * z,a(x,y,z)). [para(7687(a,1),15076(a,1,1))]. 20383 R(a(x,y,z),u,a(w,v5,v6)) = L(a(x,y,z),u,a(w,v5,v6)). [para(1143(a,1),15076(a,1,1,2)),rewrite([15384(7)]),flip(a)]. 20391 a(x,y,z) * (u * (w * K(w * a(x,y,z),u))) = (w * a(x,y,z)) * R(u,w,a(x,y,z)). [para(15076(a,1),7713(a,2,2)),rewrite([20359(10),5679(10),959(8),7726(6)])]. 20398 T(x,a(y,z,u) * K(w,v5)) = T(x,K(v5,w)). [back_rewrite(15139),rewrite([20337(4),74(2),75(2),155(3)]),flip(a)]. 20401 L(a(x,y,z),u,a(x,y,z)) = a(x,y,z). [back_rewrite(1706),rewrite([20383(3)])]. 20404 T(x,K(y,z) * a(u,w,v5)) = T(x,K(z,y)). [back_rewrite(6738),rewrite([20398(4),562(2)]),flip(a)]. 20484 (x * (K(y,z) * a(u,w,v5))) \ T(x * (a(u,w,v5) * K(y,z)),K(y,z)) = K(x,K(y,z)). [hyper(5083,a,210,a(flip),b,15112,a),rewrite([11774(10),7726(8),74(15),75(15),20337(15)])]. 20495 T(x * (a(y,z,u) * K(w,v5)),K(w,v5)) = K(w,v5) * (x * a(y,z,u)). [hyper(5081,a,210,a(flip),b,15112,a),rewrite([11774(6),7726(4),74(14),75(14),20337(14),7726(13),7726(12),9565(13)])]. 20597 (x * (y * (K(z,u) * a(w,v5,v6)))) * v7 = (x * (y * a(w,v5,v6))) * (K(z,u) * v7). [para(15112(a,1),7687(a,1,2,2)),rewrite([13937(5),13987(10)]),flip(a)]. 20618 K(x,K(y,a(z,u,w) * v5)) = K(v5,K(x,y)). [back_rewrite(20484),rewrite([20495(10),13472(9),562(2),15049(4),11204(7),73(4),70(6),49(6)])]. 20749 (x * y) * T(z * z,u) = x * (y * T(z * z,u)). [para(149(a,1),315(a,2,2)),rewrite([7726(6),7726(5),149(4)]),flip(a)]. 20755 (x * T(y * y,z)) * u = x * (T(y * y,z) * u). [para(168(a,1),315(a,1,1,2)),rewrite([7725(10),7763(9)])]. 20799 a(x * (y * (z * (u * u))),w,v5) = a(x * (y * z),w,v5). [para(315(a,1),12550(a,1,1)),rewrite([12650(5)]),flip(a)]. 20864 (x * (y * (z * (u * u)))) \ w = (u * u) \ ((x * (y * z)) \ w). [para(7(a,1),11968(a,1,1,2))]. 20865 (x * (y * y)) \ z = (y * y) \ (x \ z). [para(48(a,1),11968(a,1,1,2)),rewrite([49(6)])]. 20876 (x * T(y * y,z)) \ u = T(y * y,z) \ (x \ u). [para(168(a,1),11968(a,1,1,2)),rewrite([12023(9),11981(10)])]. 20903 (x * x) \ (R(y,z,u) \ (K(y,x * x) * w)) = R(y,z,u) \ ((x * x) \ w). [para(5593(a,1),11968(a,1,1)),rewrite([11965(4),11961(10)]),flip(a)]. 20929 (x * (y * (a(a(z,u,w),v5,v6) * y))) \ v7 = (y * y) \ (x \ (a(a(z,u,w),v5,v6) \ v7)). [para(7727(a,2),11968(a,1,1,2)),rewrite([14531(4),20287(11)])]. 20945 T(x,y * y) \ ((y * y) \ z) = (y * y) \ (x \ z). [back_rewrite(12726),rewrite([20865(8)])]. 20984 K(x,y) * ((z * y) \ u) = (z * T(y,x)) \ u. [para(149(a,1),12013(a,1,1,2)),flip(a)]. 21004 K(x,y) * ((y * x) \ z) = (T(y,x) * x) \ z. [para(210(a,1),12013(a,1,1)),flip(a)]. 21017 (x * (y * (z * K(u,w)))) \ v5 = K(w,u) * ((x * (y * z)) \ v5). [para(7687(a,2),12013(a,1,1,2)),rewrite([10(2),48(5)])]. 21086 ((x * (y * z)) / T(a(u,w,a(v5,v6,v7)) * (x * y),z)) * a(u,w,a(v5,v6,v7)) = L(z,y,x). [hyper(5081,a,12121,a(flip),b,7336,a),rewrite([7729(6),7729(10),17629(12)]),flip(a)]. 21093 (x * y) / T(x * z,z \ y) = L(z \ y,z,x). [para(51(a,1),7336(a,1,1,2))]. 21156 L(x,a(y,z,a(u,w,v5)) * v6,v7) = L(x,v6,v7). [para(8362(a,2),7336(a,1,2,1)),rewrite([7729(4),17630(11),21086(11)]),flip(a)]. 21174 (R(x,y,z) * (x * u)) / T(x * R(x,y,z),u) = L(u,x,R(x,y,z)). [para(11009(a,1),7336(a,1,2,1))]. 21193 (x * (y * a(z,u,w))) / T(x * a(z,u,w),y) = L(y,a(z,u,w),x). [para(1143(a,1),7336(a,1,1,2))]. 21220 (x * ((R(y,z,u) \ w) * R(y,z,u))) / T(x * w,K(y,R(y,z,u) \ w)) = K(R(y,z,u) \ w,y). [para(16894(a,2),7336(a,1,1,2)),rewrite([562(10),5678(15)])]. 21231 L(x,y * a(z,u,a(w,v5,v6)),v7) = L(x,y,v7). [para(51(a,2),21156(a,1,2)),rewrite([16927(4),8271(5)])]. 21238 L(x,(y * z) * a(u,w,v5),v6) = L(x,y * (z * a(u,w,v5)),v6). [para(7687(a,1),21156(a,1,2))]. 21239 L(x,y * (a(z,u,a(w,v5,v6)) * v7),v8) = L(x,y * v7,v8). [para(8362(a,1),21156(a,1,2))]. 21241 L(x,y \ a(z,u,a(w,v5,v6)),v7) = L(x,y \ 1,v7). [para(12981(a,1),21156(a,1,2))]. 21250 (x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = L(w,x,a(y,z,u)). [back_rewrite(15266),rewrite([21231(5)]),flip(a)]. 21253 L(x,y * (z * (z * a(u,w,a(v5,v6,v7)))),v8) = L(x,y * (z * z),v8). [para(6(a,1),21231(a,1,2)),rewrite([7735(4)])]. 21255 L(x,y * (z * a(u,w,a(v5,v6,v7))),v8) = L(x,y * z,v8). [para(7687(a,2),21231(a,1,2)),rewrite([47(3),48(6)])]. 21258 L(x,y * L(a(z,u,a(w,v5,v6)) * v7,v8,v9),v10) = L(x,y * L(v7,v8,v9),v10). [para(14160(a,2),21231(a,1,2)),rewrite([561(3),547(5),7735(5),17022(4)])]. 21262 L(x,y * (z * (u * (u * a(w,v5,a(v6,v7,v8))))),v9) = L(x,y * (z * (u * u)),v9). [para(315(a,1),21231(a,1,2)),rewrite([7735(5),8270(6)])]. 21369 a(R(T(x,y),z,u) \ w,v5,v6) = a(R(x,z,u) \ w,v5,v6). [para(2597(a,1),13835(a,1,1,1)),rewrite([12472(6),13835(5),50(3),50(7)]),flip(a)]. 21384 x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). [hyper(7088,a,9213,a,b,5000,a),rewrite([9213(12)]),flip(a)]. 21556 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(219(a,1),5000(a,1,1)),flip(a)]. 21573 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(410(a,1),5000(a,1,1)),flip(a)]. 21680 (x * T(y,K(z,u))) \ (x * (K(z,K(u,w)) * (y * K(z,u)))) = K(z,T(T(u,y),w)). [hyper(5083,a,10078,a,b,13996,a),rewrite([73(6),73(11),230(14),11411(11),2598(12),2598(13)])]. 21684 (x * T(y,z * z)) \ (x * (K(z * z,u) * (y * (z * z)))) = T(T(z * z,y),u). [hyper(5083,a,7,a(flip),b,13996,a),rewrite([7(8)])]. 21688 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(5083,a,13996,a,b,7726,a(flip)),rewrite([2598(5),2598(6),7726(7),11774(6),18143(4),11005(5),50(5),73(5),7726(8)]),flip(a)]. 21758 T(x,y * (z * K(u,T(w,v5)))) = T(x,K(u,w) * (y * z)). [para(13996(a,2),162(a,2,2)),rewrite([73(3),13431(7),2598(9),2598(10),7726(11),11774(10),18143(8),11005(9)]),flip(a)]. 21764 (x * T(y,z)) * y = (x * y) * T(y,z). [para(168(a,1),13996(a,2,1,2)),rewrite([409(1),409(2)]),flip(a)]. 21884 (x * T(y,K(z,u))) \ (x * (y * K(z,T(u,w)))) = K(z,T(T(u,y),w)). [back_rewrite(21680),rewrite([21688(8)])]. 21895 T(x,K(y,z) * (u * (z / u))) = T(x,T(u * (z / u),y)). [back_rewrite(17384),rewrite([21758(6)])]. 21906 x \ (K(y,z) * (x * T(x,u))) = T(K(y,z) * T(x,u),x). [hyper(7088,a,7724,a(flip),b,21764,a),flip(a)]. 21907 T(x * T(y,x * y),y) = x * y. [hyper(7088,a,410,a(flip),b,21764,a),rewrite([50(7)])]. 21919 ((x * T(x,y)) * T(x,y)) / x = T(x,y) * T(x,y). [hyper(5142,a,14227,a,b,21764,a),rewrite([1343(4)])]. 22024 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(246(a,1),21764(a,1,1,2)),rewrite([246(9)]),flip(a)]. 22141 T(x,y) * a(a(z,u,w),v5,v6) = T(x * a(a(z,u,w),v5,v6),y). [hyper(7088,a,7730,a,b,410,a),rewrite([20266(7),15003(5),20266(8),7730(9),9084(10),15107(9)]),flip(a)]. 22173 a(a(x,y,z),u,w) * T(v5,v6) = T(v5 * a(a(x,y,z),u,w),v6). [hyper(5142,a,845,a,b,7730,a),rewrite([20266(7),7727(6),845(5),20086(6),22141(8)])]. 22177 ((x * y) * (K(z,u) * (a(a(w,v5,v6),v7,v8) * v9))) / v9 = x * (y * (K(z,u) * a(a(w,v5,v6),v7,v8))). [hyper(5142,a,9566,a(flip),b,7730,a),rewrite([7733(14),7733(13)])]. 22178 (x * (K(y,z) * (a(a(u,w,v5),v6,v7) * v8))) / v8 = x * (K(y,z) * a(a(u,w,v5),v6,v7)). [hyper(5142,a,7725,a(flip),b,7730,a),rewrite([7733(12)])]. 22277 R(x,y,a(a(z,u,w),v5,v6)) = x. [hyper(5142,a,7452,a,b,7730,a(flip)),rewrite([70(3),7727(5),48(6),20358(8)])]. 22294 T(x * a(a(y,z,u),w,v5),v6 * a(a(y,z,u),w,v5)) = T(a(a(y,z,u),w,v5) * x,v6). [hyper(5083,a,410,a(flip),b,7730,a(flip)),rewrite([20070(5),22173(11)]),flip(a)]. 22296 a(a(x,y,z),u,w) * (v5 \ (a(a(x,y,z),u,w) \ v6)) = v5 \ v6. [hyper(5083,a,51,a(flip),b,7730,a(flip)),rewrite([20287(7)]),flip(a)]. 22305 T(a(a(x,y,z),u,w) * v5,v6) * v7 = T(v5,v6) * (v7 * a(a(x,y,z),u,w)). [hyper(5081,a,845,a(flip),b,7730,a(flip)),rewrite([22173(13),22141(12),22294(12),845(11)]),flip(a)]. 22309 a(x,a(a(y,z,u),w,v5) * v6,v7) = a(x,v6,v7). [para(7730(a,2),54(a,1,2,1)),rewrite([7727(4),7730(9),20215(10),20305(11),50(10),54(5)]),flip(a)]. 22312 L(x,a(a(y,z,u),w,v5) * v6,v7) = L(x,v6,v7). [para(7730(a,2),56(a,1,1)),rewrite([7730(4),7727(8),20305(10),20094(9),20134(9),56(4)]),flip(a)]. 22334 a(x,y,z) * (x * (a(a(u,w,v5),v6,v7) * (y * z))) = a(a(u,w,v5),v6,v7) * ((x * y) * z). [para(7730(a,1),7687(a,1,2)),rewrite([20246(4),7730(11),20215(12)])]. 22338 x * (R(y,z,u) * a(a(w,v5,v6),v7,v8)) = x * (a(a(w,v5,v6),v7,v8) * R(y,z,u)). [para(5593(a,2),7730(a,2,2)),rewrite([7730(5),11(8),48(11)]),flip(a)]. 22346 a(x,y * a(a(z,u,w),v5,v6),v7) = a(x,y,v7). [para(7730(a,1),13777(a,1,2,1)),rewrite([20215(8),20189(7),22309(9),14922(6)])]. 22364 (a(a(x,y,z),u,w) * ((v5 * v6) * v7)) / (v5 * (v6 * (a(a(x,y,z),u,w) * v7))) = a(v5,v6,v7). [para(7730(a,1),7337(a,1,2,2)),rewrite([20189(5),22346(15)])]. 22365 a(x,y,a(a(z,u,w),v5,v6) * v7) = a(x,y,v7). [para(7730(a,2),7337(a,1,1)),rewrite([7733(4),20189(5),22364(11)]),flip(a)]. 22379 (x * y) * (K(z,u) * a(a(w,v5,v6),v7,v8)) = x * (y * (K(z,u) * a(a(w,v5,v6),v7,v8))). [back_rewrite(22177),rewrite([22178(8)])]. 22395 a(x,y * (z * a(a(u,w,v5),v6,v7)),v8) = a(x,y * z,v8). [back_rewrite(20204),rewrite([22309(5)]),flip(a)]. 22402 a(x,y,z * a(a(u,w,v5),v6,v7)) = a(x,y,z). [hyper(5081,a,13983,a(flip),b,22365,a),rewrite([22173(5),13983(6)]),flip(a)]. 22403 a(x,y,a(a(z,u,w),v5,v6) \ v7) = a(x,y,v7). [para(51(a,1),22365(a,1,3)),flip(a)]. 22409 a(x,y,(a(z,u,w) * v5) * v6) = a(x,y,a(z,u,w) * (v5 * v6)). [para(7687(a,1),22365(a,1,3))]. 22432 T(x * x,((x * x) \ y) * z) = (((x * x) \ y) * z) \ (y * z). [hyper(7088,a,8362,a,b,325,a),rewrite([9352(8),16927(16),12009(13),19453(12),19225(16)])]. 22463 T(x * x,((x * x) \ T(y,z)) * K(z,y)) = K(y,z) * (((x * x) \ T(y,z)) \ y). [hyper(7088,a,164,a(flip),b,325,a),rewrite([12023(13)])]. 22473 (x * x) \ (y * z) = ((x * x) \ y) * z. [hyper(5306,a,325,a)]. 22599 ((x * x) \ K(y,z)) * (y * u) = ((x * x) \ T(y,z)) * u. [hyper(5083,a,7763,a(flip),b,325,a),rewrite([22473(4)]),flip(a)]. 22627 ((x * x) \ K(y,z)) * y = (x * x) \ T(y,z). [hyper(5083,a,168,a(flip),b,325,a),flip(a)]. 22629 ((x * x) \ T(y,z)) * K(z,y) = (x * x) \ y. [hyper(5083,a,164,a(flip),b,325,a),flip(a)]. 22633 ((x * x) \ y) * (y \ z) = (x * x) \ z. [hyper(5083,a,51,a(flip),b,325,a),flip(a)]. 22634 ((x * x) \ 1) * y = (x * x) \ y. [hyper(5083,a,48,a(flip),b,325,a),flip(a)]. 22650 ((x * x) \ y) * ((x * x) * z) = z * T(y,(x * x) * z). [hyper(266,a,11786,a,b,325,a),rewrite([320(7)]),flip(a)]. 22654 ((x * x) \ T(y,z)) * (x * x) = T(T(y,x * x),z). [hyper(266,a,845,a,b,325,a),flip(a)]. 22655 ((x * x) \ y) * (x * x) = T(y,x * x). [hyper(266,a,410,a,b,325,a),flip(a)]. 22699 (x * (K(y,z) * x)) \ (u * w) = ((x * (K(y,z) * x)) \ u) * w. [hyper(5083,a,325,a(flip),b,9566,a(flip)),rewrite([7725(3),7725(11),21017(12),7724(13),5784(14)])]. 22700 (x * ((y * y) * x)) \ (z * u) = ((x * ((y * y) * x)) \ z) * u. [hyper(5083,a,325,a(flip),b,315,a(flip)),rewrite([6(3),6(11),20864(12),325(14)])]. 22708 (x * y) / (((z * z) \ x) * (y * (z * z))) = K(z * z,((z * z) \ x) * y). [para(325(a,1),80(a,1,1)),rewrite([7(6)])]. 22713 K((x * y) / (z * z),u) = K(((z * z) \ x) * y,u). [para(325(a,1),171(a,1,1,1)),rewrite([2739(10)])]. 22755 a(((x * x) \ y) * z,u,w) = a(y * z,u,w). [para(325(a,1),12550(a,1,1)),rewrite([7(7),12686(8)]),flip(a)]. 22815 ((x * x) \ y) * ((x * x) * a(z,u,w)) = T(a(z,u,w) * y,x * x). [back_rewrite(15053),rewrite([22473(6)])]. 22819 T(T(x,y * y),z) = T(x,(y * y) * z). [back_rewrite(12704),rewrite([22473(5),405(6),22655(4)])]. 22835 ((x * x) \ y) * (z * (x * x)) = T(y * z,x * x). [back_rewrite(406),rewrite([22473(5)])]. 22838 T(x * x,x \ (x \ y)) = K(y,z) * (((x * x) \ T(y,z)) \ y). [back_rewrite(22463),rewrite([22629(6),12024(4)])]. 22841 T(T(x,y),z * z) = T(x,(z * z) * y). [back_rewrite(22654),rewrite([22655(5),22819(6)])]. 22865 K(x * x,((x * x) \ y) * z) = K(x * x,y * z). [back_rewrite(22708),rewrite([22835(6),84(5)]),flip(a)]. 22905 T(((x * x) \ y) * a(z,u,w),K(v5,x \ (x \ y))) = ((x * x) \ y) * a(z,u,w). [hyper(5081,a,15082,a,b,22473,a),rewrite([6385(7),562(8),22473(12)])]. 22921 T((x * x) \ x,x * y) = (x * y) \ L(y,x,x). [hyper(7088,a,56,a(flip),b,22473,a(flip))]. 22924 (x * x) \ x = 1 / x. [hyper(5142,a,323,a(flip),b,22473,a(flip)),flip(a)]. 22926 L(x,y,y) / (y * x) = 1 / y. [hyper(5142,a,56,a(flip),b,22473,a(flip)),rewrite([22924(5)])]. 22931 (1 / x) \ L(y,x,x) = x * y. [hyper(5083,a,56,a(flip),b,22473,a(flip)),rewrite([22924(2)])]. 22934 (1 / x) * (x * y) = L(y,x,x). [hyper(5081,a,56,a(flip),b,22473,a(flip)),rewrite([22924(3)]),flip(a)]. 22936 ((x * x) \ y) * ((x * x) * z) = T(y,x * x) * z. [para(58(a,1),22473(a,2,1)),rewrite([6(4),22473(5)])]. 22943 (x * x) * ((y * z) / (x * x)) = y * (z * K(x * x,y * z)). [para(22473(a,1),197(a,1,2,2)),rewrite([22865(6),7726(5)]),flip(a)]. 22944 (T(x * x,y) \ 1) * z = T(x * x,y) \ z. [para(225(a,2),22473(a,2,1)),rewrite([11981(5)]),flip(a)]. 22955 a(x,y,z) * (x * (((u * u) \ y) * z)) = (x * ((u * u) \ y)) * z. [para(22473(a,2),7687(a,1,2,2)),rewrite([13911(3),22473(4)])]. 22966 a(x * ((y * y) \ z),u,w) = a(z * x,u,w). [para(22473(a,2),12550(a,1,1)),rewrite([22473(3),22755(4)]),flip(a)]. 22971 a(x,y * ((z * z) \ u),w) = a(x,u * y,w). [para(22473(a,2),14794(a,1,2)),rewrite([22473(3),14846(4)]),flip(a)]. 22989 (x * y) \ L(y,x,x) = T(1 / x,x * y). [back_rewrite(22921),rewrite([22924(2)]),flip(a)]. 22995 T(x,y * y) * a(z,u,w) = T(a(z,u,w) * x,y * y). [back_rewrite(22815),rewrite([22936(6)])]. 22999 x * T(y,(z * z) * x) = T(y,z * z) * x. [back_rewrite(22650),rewrite([22936(5)]),flip(a)]. 23004 (T(x,y * y) * z) \ ((y * y) \ u) = (x * ((y * y) * z)) \ u. [back_rewrite(17971),rewrite([22999(4)])]. 23112 (1 / x) \ K(y,z) = x * K(y,z). [hyper(5081,a,10078,a,b,22931,a),rewrite([10078(3),5678(6)]),flip(a)]. 23149 (1 / x) \ a(y,a(z,u,w),v5) = x * a(y,a(z,u,w),v5). [para(5529(a,1),22931(a,1,2))]. 23152 (x \ 1) \ L(y,T(x,x \ 1),T(x,x \ 1)) = T(x,x \ 1) * y. [para(2244(a,1),22931(a,1,1))]. 23158 (1 / (x * x)) \ y = (x * x) * y. [para(320(a,1),22931(a,1,2))]. 23167 x \ L(y,x \ 1,x \ 1) = (x \ 1) * y. [para(337(a,1),22931(a,1,1))]. 23177 (x * x) * (1 / x) = x. [hyper(5457,a,22924,a)]. 23178 T(1 / x,T(y,x)) = T(1 / x,y). [hyper(5142,a,22924,a,b,164,a),rewrite([22924(2),9510(6),5548(5),1191(6)])]. 23182 (x * (K(y,z) * x)) \ x = 1 / (K(y,z) * x). [hyper(295,a,11961,a,b,22924,a),rewrite([7724(6),5784(7)])]. 23189 1 / (x * K(y,z)) = K(z,y) * (1 / x). [hyper(295,a,12013,a(flip),b,22924,a),rewrite([7725(4),22699(7),23182(5),16749(7)]),flip(a)]. 23191 1 / (x * x) = (x * x) \ 1. [hyper(295,a,11965,a(flip),b,22924,a),rewrite([323(4)]),flip(a)]. 23192 x / (1 / x) = x * x. [hyper(271,a,340,a,b,22924,a)]. 23194 ((x * y) * (x * y)) \ x = (1 / (x * y)) / y. [hyper(5142,a,22924,a(flip),b,22473,a(flip)),flip(a)]. 23195 (x * ((y * y) * x)) \ x = 1 / ((y * y) * x). [para(5(a,1),22924(a,1,1)),rewrite([11965(8),50(7)])]. 23196 1 / (x * (y * y)) = (y * y) \ (1 / x). [para(6(a,1),22924(a,1,1)),rewrite([20864(8),22700(7),23195(5),16751(7)]),flip(a)]. 23200 (x * x) * T(1 / x,y) = x * K(x \ 1,y). [para(22924(a,1),255(a,1,2,1)),rewrite([323(6),3169(9)])]. 23210 (x * x) \ (a(y,z,a(u,w,v5)) \ x) = 1 / (x * a(y,z,a(u,w,v5))). [para(7735(a,2),22924(a,1,1)),rewrite([7751(4),7735(7),7735(6),16922(11),12009(8),12007(8),6592(11)])]. 23217 T(x * x,1 / x) = (1 / x) \ x. [para(22924(a,1),411(a,1,2)),rewrite([22924(6)])]. 23218 T(x,1 / y) = T(x,y \ 1). [para(22924(a,1),12024(a,1,2)),rewrite([323(4)])]. 23219 a(L(x,x,x),y,z) = a(x,y,z). [para(22924(a,1),12556(a,1,1,1)),rewrite([22934(4)])]. 23220 1 / (x * a(y,z,a(u,w,v5))) = a(y,z,a(u,w,v5)) \ (1 / x). [para(22924(a,1),12822(a,1,2)),rewrite([23210(10)]),flip(a)]. 23229 (x * x) \ (a(a(y,z,u),w,v5) \ x) = 1 / (a(a(y,z,u),w,v5) * x). [para(7727(a,1),22924(a,1,1)),rewrite([20929(11),50(9)])]. 23236 (x * x) * ((1 / x) * y) = x * y. [para(22924(a,1),325(a,1,2,1))]. 23250 ((x * x) \ 1) \ y = (x * x) * y. [back_rewrite(23158),rewrite([23191(3)])]. 23253 T(x * x,x \ 1) = (1 / x) \ x. [back_rewrite(23217),rewrite([23218(4)])]. 23270 K(x,1 / y) = K(x,y \ 1). [hyper(7088,a,23218,a(flip),b,168,a),rewrite([2598(4),959(4),82(7)])]. 23276 K(x * (1 / y),T(z,y \ 1)) = K((1 / y) * x,z). [para(23218(a,1),181(a,1,2))]. 23284 T(x,T(y,z \ 1) * (1 / z)) = T(x,(1 / z) * y). [para(23218(a,1),220(a,1,2,1))]. 23293 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(23218(a,1),253(a,1,2)),rewrite([253(7)]),flip(a)]. 23294 T(x,T(y * (1 / z),z \ 1)) = T(x,(1 / z) * y). [para(23218(a,1),262(a,1,2))]. 23300 T(x,K(y,z) * (1 / u)) = T(x,K(y,z) * (u \ 1)). [para(12023(a,1),23218(a,2,2)),rewrite([23189(4)])]. 23301 T(x,a(y,z,a(u,w,v5)) \ (1 / v6)) = T(x,a(y,z,a(u,w,v5)) \ (v6 \ 1)). [para(11964(a,1),23218(a,2,2)),rewrite([23220(5)])]. 23365 (1 / x) / x = (x * x) \ 1. [hyper(5142,a,22924,a(flip),b,22634,a)]. 23366 (((x * x) \ y) * z) / (y * z) = (x * x) \ 1. [hyper(5142,a,22473,a(flip),b,22634,a)]. 23406 x * K(y \ (y \ 1),(y * y) * x) = (y * y) \ (x / ((y * y) \ 1)). [hyper(295,a,197,a,b,22634,a),rewrite([23250(7),6385(6)])]. 23413 (x * x) \ T(y,x \ (x \ 1)) = y * ((x * x) \ 1). [hyper(295,a,410,a(flip),b,22634,a),rewrite([12024(9)]),flip(a)]. 23418 a(x,y,z) \ ((u * u) \ a(x,y,z)) = (u * u) \ 1. [hyper(267,a,6592,a,b,22634,a)]. 23429 (x * x) * L(y,z * (x * x),u) = L((x * x) * y,z,u). [hyper(7088,a,22634,a(flip),b,207,a),rewrite([12024(9),60(9),12393(8),23250(4),23250(11),12150(11),23250(10)]),flip(a)]. 23448 ((x * x) \ y) / (K(z,x \ (x \ 1)) * y) = T((x * x) \ 1,z). [hyper(5142,a,22634,a(flip),b,7760,a),rewrite([12016(6)])]. 23460 L(x,y,(z * z) \ 1) = x. [hyper(5142,a,22634,a(flip),b,11786,a(flip)),rewrite([22634(5),12024(4),22473(6),12443(6),22634(7),52(6)]),flip(a)]. 23470 K(x,y \ (y \ 1)) * ((y * y) \ R(x,z,u)) = R(x,z,u) * ((y * y) \ 1). [hyper(5083,a,22634,a(flip),b,5593,a),rewrite([6385(4),5754(8)])]. 23476 x \ ((y * y) \ (x / ((y * y) \ 1))) = K(y \ (y \ 1),(y * y) * x). [hyper(5083,a,22634,a(flip),b,197,a),rewrite([23250(14),6385(13)])]. 23481 ((x * x) \ y) \ (y * ((x * x) \ 1)) = K(y,x \ (x \ 1)). [para(22634(a,1),55(a,1,1)),rewrite([12016(11)])]. 23485 ((x * ((y * y) \ 1)) * z) / ((y * y) \ z) = R(x,(y * y) \ 1,z). [para(22634(a,1),57(a,1,2))]. 23493 K(x / (y * y),z) = K(y \ (y \ x),z). [para(22634(a,2),177(a,2,1)),rewrite([2739(5),22634(7),6385(6)])]. 23523 (x * ((y * y) \ 1)) * z = x * ((y * y) \ z). [para(22634(a,1),7687(a,1,2,2)),rewrite([13911(4),32(2),48(5)]),flip(a)]. 23525 K(x \ (x \ 1),y) * ((x * x) \ z) = T((x * x) \ 1,y) * z. [para(22634(a,1),7763(a,1,2)),rewrite([6385(4)])]. 23526 ((x * x) \ y) * (z * K(y,x \ (x \ 1))) = T(y * ((x * x) \ z),K(y,x \ (x \ 1))). [para(22634(a,1),9670(a,1,1)),rewrite([12016(6),23523(13),6385(15),562(16)])]. 23529 (x * ((y * y) \ K(z,u))) * w = x * (((y * y) \ K(z,u)) * w). [para(22634(a,1),9566(a,1,1,2)),rewrite([23523(12),22473(9)])]. 23533 x * (T((y * y) \ 1,x) * z) = ((y * y) \ x) * z. [para(22634(a,1),7452(a,2,1)),rewrite([6385(4),23523(9),9138(8),23525(7)])]. 23536 ((x * x) \ y) \ z = y \ ((x * x) * z). [para(22634(a,1),11892(a,2,1)),rewrite([23250(4),23460(7)]),flip(a)]. 23579 K(x \ (x \ (y * z)),u) = K(((x * x) \ y) * z,u). [back_rewrite(22713),rewrite([23493(4)])]. 23582 R(x,(y * y) \ 1,z) = x. [back_rewrite(23485),rewrite([23523(5),52(6)]),flip(a)]. 23586 x \ ((y * y) * (x * ((y * y) \ 1))) = K(x,y \ (y \ 1)). [back_rewrite(23481),rewrite([23536(7)])]. 23599 T(x * x,x \ (x \ y)) = T(x * x,y). [back_rewrite(22838),rewrite([23536(9),9095(9),5784(10)])]. 23767 x \ ((y * y) * (x * z)) = T(y * y,x) * z. [hyper(5083,a,7760,a(flip),b,22936,a),rewrite([23536(4),7753(9)])]. 23779 (x * x) * (T(y,x * x) \ z) = y \ ((x * x) * z). [hyper(5083,a,51,a(flip),b,22936,a),rewrite([23536(3)]),flip(a)]. 23791 T(x,(y * y) * a(z,u,w)) = T(x,y * y). [hyper(5083,a,22936,a,b,1143,a),rewrite([22936(7),22995(5),15012(6)])]. 23801 ((x * x) \ y) * (x * (x * K(z,u))) = T(y,x * x) * K(z,u). [hyper(5081,a,10078,a,b,22936,a),rewrite([10078(7),7726(9)]),flip(a)]. 23821 T(x,y * y) * K(z,x) = T(x * K(z,x),y * y). [hyper(5081,a,178,a(flip),b,22936,a),rewrite([2739(10),7726(9),23801(10)]),flip(a)]. 23857 T(x,y * y) * ((y * y) \ z) = ((y * y) \ x) * z. [para(51(a,1),22936(a,1,2)),flip(a)]. 23864 ((x * ((y * y) \ z)) * ((y * y) * u)) / (T(z,y * y) * u) = R(x,(y * y) \ z,(y * y) * u). [para(22936(a,1),57(a,1,2))]. 23869 ((x * x) \ y) * T(x * x,z) = T(y,x * x) * K(x * x,z). [para(149(a,1),22936(a,1,2))]. 23895 T(x,(y * y) * T(z,u)) = T(x,T((y * y) * z,u)). [para(22936(a,2),253(a,1,2,1)),rewrite([1039(3),2739(3),2739(7),7726(6),23801(7),23821(5),22819(6),253(7),22819(8)]),flip(a)]. 23908 (x * ((y * y) \ z)) * ((y * y) * u) = (x * T(z,y * y)) * u. [para(22936(a,1),7687(a,1,2,2)),rewrite([13938(5),13911(3),14829(6)]),flip(a)]. 23922 L(x \ ((y * y) \ (z \ ((y * y) * u))),x,T(z,y * y)) = (T(z,y * y) * x) \ u. [para(22936(a,1),11892(a,2,1)),rewrite([23536(5),11965(6),372(11),22655(10)])]. 23975 K(x,y \ (y \ 1)) = K(y * y,x). [back_rewrite(23586),rewrite([23767(7),8515(6),49(4)]),flip(a)]. 23981 (x * x) * (y * K(x * x,z)) = T(x * x,z) * y. [back_rewrite(9873),rewrite([23767(4)]),flip(a)]. 24013 R(x,(y * y) \ z,(y * y) * u) = R(x,T(z,y * y),u). [back_rewrite(23864),rewrite([23908(6),57(8)]),flip(a)]. 24022 ((x * x) \ y) * (z * K(x * x,y)) = y * ((x * x) \ z). [back_rewrite(23526),rewrite([23975(6),23975(13),562(12),564(12)])]. 24035 K(x * x,y) * ((x * x) \ R(y,z,u)) = R(y,z,u) * ((x * x) \ 1). [back_rewrite(23470),rewrite([23975(4)])]. 24038 ((x * x) \ y) / (K(x * x,z) * y) = T((x * x) \ 1,z). [back_rewrite(23448),rewrite([23975(6)])]. 24062 L((x * x) \ y,z * (x * x),u) = (x * x) \ L(y,z,u). [hyper(7088,a,23429,a(flip),b,207,a),rewrite([60(7),412(4),51(10)])]. 24071 L(x / (y * y),z * (y * y),u) = L(x,z,u) / (y * y). [hyper(5142,a,23429,a(flip),b,207,a),rewrite([51(4)]),flip(a)]. 24076 a(x,x,L(y,z * (x * x),u)) \ L((x * x) * y,z,u) = x * (x * L(y,z * (x * x),u)). [hyper(5083,a,23429,a(flip),b,7687,a)]. 24080 (x * x) * (L(y,z * (x * x),u) * w) = L((x * x) * y,z,u) * w. [para(23429(a,1),5(a,1,1)),flip(a)]. 24081 (x * x) * L(y,z * (u * (u * (x * x))),w) = L((x * x) * y,z * (u * u),w). [para(6(a,1),23429(a,1,2,2)),rewrite([7(4)])]. 24092 L(T(x * x,y),z,u) = T(x * x,y). [para(149(a,1),23429(a,2,1)),rewrite([5678(6),149(4)]),flip(a)]. 24110 L(x,y * (z * z),u) * (z * z) = L(x * (z * z),y,u). [para(251(a,1),23429(a,2,1)),rewrite([4083(8),562(8),564(8),562(10),564(10)])]. 24134 L(x,y * (z * z),u) \ ((z * z) \ w) = L((z * z) * x,y,u) \ w. [para(23429(a,1),11892(a,2,1)),rewrite([320(11)])]. 24178 K(x * x,y) * T(x * x,z) = T(x * x,T(y,x * x) * z). [back_rewrite(12202),rewrite([24092(5)])]. 24258 (x * y) * L(z,x,y) = y * (T(x,y) * z). [hyper(5083,a,380,a(flip),b,7452,a),rewrite([5754(4),9138(4),7763(3)]),flip(a)]. 24259 (((x * x) \ y) * z) * L(u,z,y) = ((x * x) \ y) * (z * u). [hyper(5083,a,380,a(flip),b,325,a),rewrite([22473(4),22473(7)]),flip(a)]. 24263 x * L(y,z \ x,z) = z * ((z \ x) * y). [para(51(a,1),380(a,1,1))]. 24265 (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)). [para(380(a,1),54(a,1,1,2))]. 24266 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(380(a,1),56(a,1,1))]. 24267 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(380(a,1),56(a,1,2,2))]. 24269 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(380(a,1),57(a,1,1))]. 24271 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(64(a,1),380(a,1,2))]. 24280 (x * (T(x,y) * z)) * L(u,x * z,T(x,y)) = T(x,y) * ((x * z) * u). [para(241(a,1),380(a,1,1))]. 24294 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(380(a,1),7763(a,1,2))]. 24307 a(x,y * (z * T(u,w)),v5) = a(x,y * (z * u),v5). [para(380(a,1),14782(a,2,2)),rewrite([60(3),380(4)])]. 24329 ((x * y) * T(y,z)) * L(u,y,x * T(y,z)) = (x * T(y,z)) * (y * u). [para(21764(a,1),380(a,1,1))]. 24330 ((x * x) \ y) * (x * (x * z)) = T(y,x * x) * L(z,x,x). [para(380(a,1),22936(a,1,2))]. 24350 T(K(x * L(y,z,u),w) * x,y) = L(y,z,u) \ T(x * L(y,z,u),w). [hyper(7088,a,168,a(flip),b,24271,a),rewrite([5539(8),6174(6),5539(9)])]. 24394 x * (x * L(y,z * (x * x),u)) = L(x * (x * y),z,u). [hyper(295,a,23429,a(flip),b,24271,a),rewrite([24258(3),409(1)]),flip(a)]. 24422 (x * y) * L(L(z,x,y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(5083,a,24271,a(flip),b,7452,a),rewrite([5754(5),9138(5),7763(4)]),flip(a)]. 24449 T(x,L(L(T(y,z * u),u,z),w,v5) * (z * u)) = T(x,z * (u * L(y,w,v5))). [para(24271(a,1),220(a,2,2)),rewrite([60(4),60(3)])]. 24451 K(x,L(L(T(y,z * u),u,z),w,v5) * (z * u)) = K(x,z * (u * L(y,w,v5))). [para(24271(a,1),229(a,2,2)),rewrite([60(4),60(3)])]. 24467 K(x,L(L(y,z,u),w,v5) * (v5 * w)) = K(x,L(L(y,w,v5),z,u) * (v5 * w)). [para(24271(a,1),7197(a,1,2,1)),rewrite([17957(6)])]. 24474 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(11892(a,1),24271(a,1,2,1))]. 24476 a(x * (y * L(T(z,u),w,v5)),v6,v7) = a(x * (y * L(z,w,v5)),v6,v7). [para(24271(a,1),12539(a,2,1)),rewrite([60(4),60(3),24271(5)])]. 24487 a(x,y * (z * L(T(u,w),v5,v6)),v7) = a(x,y * (z * L(u,v5,v6)),v7). [para(24271(a,1),14782(a,2,2)),rewrite([60(4),60(3),24271(5)])]. 24504 a(x,x,L(y,z * (x * x),u)) \ L((x * x) * y,z,u) = L(x * (x * y),z,u). [back_rewrite(24076),rewrite([24394(13)])]. 24549 x * (T(y,x) * L(z,x,y)) = y * (x * L(z,y,x)). [hyper(295,a,380,a(flip),b,24422,a),flip(a)]. 24693 K(x,y) * (z * (y * x)) = T(z * (x * y),K(x,y)). [hyper(7088,a,9670,a(flip),b,24258,a),rewrite([5678(5),562(4),5678(7),10795(9),10948(11),7726(9),7726(8),149(7),410(7),5754(8)]),flip(a)]. 24713 L(x,T(y,z),z) = L(x,y,z). [hyper(5306,a,24258,a),rewrite([6618(5)])]. 24721 (x * ((y * y) \ z)) / z = x * ((y * y) \ 1). [hyper(5142,a,22634,a(flip),b,24258,a),rewrite([12024(5),22473(7),23413(6),23523(5),23460(7)])]. 24754 L(a(x,y,z),u,w) * (u * w) = w * (T(u,w) * a(x,y,z)). [hyper(5081,a,15015,a,b,24258,a),rewrite([24713(3),410(4),24258(8)])]. 24790 x \ (K(y,z) * (x * u)) = K(y,T(z,x)) * u. [hyper(5083,a,7724,a(flip),b,24258,a(flip)),rewrite([5538(3),2598(6)])]. 24804 x * L(y,z,z \ x) = (x / z) * (z * y). [para(51(a,1),24258(a,1,1)),rewrite([13287(8)])]. 24828 K(x,y) * ((z * x) * L(u,T(x,y),T(z,x))) = T(z,x) * (T(T(x,z),y) * u). [para(182(a,1),24258(a,2,2,1)),rewrite([8513(3),7724(7)])]. 24832 x * R(y,x,y) = T(y * x,y). [para(192(a,1),24258(a,2,2)),rewrite([5678(4),149(4)]),flip(a)]. 24844 (T(x,y) * z) * L(u,z,T(T(x,z),y)) = T(x,y) * (z * u). [para(245(a,1),24258(a,2,2,1)),rewrite([845(3),13216(12)])]. 24882 (x \ y) * (((x \ y) \ y) * z) = (y / x) * (x * z). [para(411(a,1),24258(a,2,2,1)),rewrite([51(2),24804(3)]),flip(a)]. 24885 a(L(x,y,z) * (y * z),u,w) = a(z * (y * x),u,w). [para(24258(a,1),12550(a,1,1)),rewrite([13786(4)]),flip(a)]. 24886 (x \ 1) * (a(y,z,a(u,w,v5)) * v6) = (x \ a(y,z,a(u,w,v5))) * v6. [para(12981(a,1),24258(a,1,1)),rewrite([5531(8),547(11)]),flip(a)]. 24931 (x * y) * T(z,y * x) = T(z * (x * y),K(x,y)). [back_rewrite(10795),rewrite([24693(8)])]. 24944 K(x,T(y,z)) * T(z,u) = T(K(x,y) * T(z,u),z). [back_rewrite(21906),rewrite([24790(5)])]. 24947 K(x,T(y,z)) * a(u,w,v5) = T(a(u,w,v5) * K(x,y),z). [back_rewrite(15050),rewrite([24790(5)])]. 24949 K(x,y) * (z * K(u,K(x,y))) = K(x,T(y,u)) * z. [back_rewrite(10319),rewrite([24790(4)]),flip(a)]. 24954 T(x,y) * K(z,T(u,x)) = T(T(x,y) * K(z,u),x). [back_rewrite(9808),rewrite([24944(6),18069(5)]),flip(a)]. 24996 a(x,y,z \ a(u,w,a(v5,v6,v7))) = a(x,y,z \ 1). [para(12981(a,1),24265(a,1,1,2,2)),rewrite([5531(14),8319(12),13037(12),54(11),5531(12),12385(10)])]. 25004 a(x,y,((z * z) \ u) * w) = a(x,y,u * w). [para(325(a,1),24265(a,1,1,2,2)),rewrite([321(11),315(10),325(9),54(7),321(9),13980(8)]),flip(a)]. 25007 a(x,y,L((z * z) * u,w,v5)) = a(x,y,L(u,w * (z * z),v5)). [para(23429(a,1),24265(a,1,1,2,2)),rewrite([321(13),315(12),23429(11),54(11),321(11),13980(10)])]. 25021 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(51(a,1),24266(a,1,2,2)),flip(a)]. 25039 L(x,y,z * K(y,u)) = L(x,T(y,u),z). [para(168(a,1),24266(a,1,1,2)),rewrite([5538(6),7725(6),7763(5),56(6),5538(4)]),flip(a)]. 25063 L(x,(y * z) * u,w * K(z,y)) = L(x,(z * y) * u,w). [para(7452(a,1),24266(a,1,1,2)),rewrite([5538(9),7725(9),10877(8),56(8),5538(7)]),flip(a)]. 25066 (x * (y * (K(z,y) * u))) \ (x * (K(z,y) * ((y * u) * w))) = L(w,y * u,x * K(z,y)). [para(9138(a,1),24266(a,1,1,2)),rewrite([5538(9),7725(9),5538(13)])]. 25080 L(x,((y * y) \ z) * u,w * (y * y)) = L(x,z * u,w). [para(325(a,1),24266(a,1,1,2)),rewrite([321(9),6(9),7674(8),56(6),321(7)]),flip(a)]. 25140 L(L(T(x,y),z,u) \ 1,L(x,z,u),u * z) = (u * (z * x)) \ (u * (z * K(y,x))). [para(225(a,2),25021(a,1,1)),rewrite([60(2),5537(12),7726(12)])]. 25156 K(x,y \ (z \ (u \ ((u * z) * w)))) = K(x,L(y,z,u) \ w). [para(25021(a,1),5537(a,1,2)),rewrite([12016(6),12016(6)])]. 25165 T(x,y \ (z \ (u \ ((u * z) * w)))) = T(x,L(y,z,u) \ w). [para(25021(a,1),6174(a,1,2)),rewrite([12024(6),12024(6)])]. 25190 T(x,L(y,z,u) \ y) = x. [back_rewrite(12400),rewrite([25165(6)])]. 25262 L(x,y,T(z,u)) = L(x,y,z). [para(7763(a,1),24267(a,1,1)),rewrite([7763(6),56(6),5539(6)])]. 25271 L(x,y,z * u) = L(x,y,u * z). [para(7452(a,1),24267(a,1,1)),rewrite([7452(7),56(6),5539(8)])]. 25275 L(x,y * (K(z,y) * u),w) = L(x,y * u,w * K(z,y)). [para(9138(a,1),24267(a,1,1,2)),rewrite([25066(10),5539(7),9138(7)]),flip(a)]. 25295 (x * (y * a(z,u,w))) \ (x * (a(z,u,w) * (y * v5))) = L(L(v5,y,a(z,u,w)),a(z,u,w) * y,x). [para(1143(a,1),24267(a,1,1,2))]. 25316 L(x,y,(z * z) \ u) = L(x,y,u). [para(325(a,1),24267(a,1,1)),rewrite([325(7),56(4),320(9)]),flip(a)]. 25321 L(x,y,z * (u * u)) = L(x,y,z). [para(22936(a,1),24267(a,1,1)),rewrite([22936(9),56(8),25262(3),320(3),25316(6),372(4)]),flip(a)]. 25335 (T(x,y) * z) * L(u,z,x) = T(x,y) * (z * u). [back_rewrite(24844),rewrite([25262(5),25262(4)])]. 25336 K(x,y) * ((z * x) * L(u,T(x,y),z)) = T(z,x) * (T(T(x,z),y) * u). [back_rewrite(24828),rewrite([25262(5)])]. 25357 (x * (T(x,y) * z)) * L(u,x * z,x) = T(x,y) * ((x * z) * u). [back_rewrite(24280),rewrite([25262(6)])]. 25364 L(x \ ((y * y) \ (z \ ((y * y) * u))),x,z) = (T(z,y * y) * x) \ u. [back_rewrite(23922),rewrite([25262(9)])]. 25365 (x \ 1) \ L(y,x,x) = T(x,x \ 1) * y. [back_rewrite(23152),rewrite([25262(9),3469(6),25262(6)])]. 25395 L(x \ K(y,z),x,z) = (T(z,y) * x) \ z. [back_rewrite(13770),rewrite([25262(4)])]. 25426 L(x,((y * y) \ z) * u,w) = L(x,z * u,w). [back_rewrite(25080),rewrite([25321(6)])]. 25443 x * ((y * y) * (z * T(u,x * ((y * y) * z)))) = L(u,z,x) * (x * ((y * y) * z)). [back_rewrite(17832),rewrite([25321(11)])]. 25447 L(x \ ((y * y) \ (z \ u)),x,z) = (z * ((y * y) * x)) \ u. [back_rewrite(11967),rewrite([25321(7)])]. 25450 L(x,(y * y) * z,u) = L(x,z,u). [back_rewrite(372),rewrite([25321(6)])]. 25463 (x * ((y * y) * z)) \ ((y * y) * u) = (T(x,y * y) * z) \ u. [back_rewrite(25364),rewrite([25447(7)])]. 25534 L(x \ K(y,y \ z),x,z / y) = ((y \ z) * x) \ (z / y). [para(238(a,1),25395(a,1,1,2)),rewrite([412(7)])]. 25551 L(x \ K(y,z \ u),x,u / z) = (T(u / z,T(y,z)) * x) \ (u / z). [para(1205(a,2),25395(a,2,1,1)),rewrite([1039(3),412(2),1205(9)])]. 25567 (T(x,y) * a(z,u,w)) \ x = (a(z,u,w) * T(x,y)) \ x. [para(1143(a,2),25395(a,2,1)),rewrite([25395(5)])]. 25603 L(x,(y * y) \ z,u) = L(x,z,u). [hyper(5081,a,21231,a(flip),b,25426,a),rewrite([21231(7)]),flip(a)]. 25655 L(x,(1 / y) * z,u) = L(x,y * z,u). [para(22924(a,1),25426(a,1,2,1))]. 25660 L(x,(y * ((z * z) \ u)) * L(w,y,u),v5) = L(x,u * (T(y,z \ (z \ u)) * w),v5). [para(24258(a,2),25426(a,1,2)),rewrite([25316(6),12024(9)])]. 25669 L(x,1 / y,z) = L(x,y,z). [hyper(5081,a,21231,a(flip),b,25655,a),rewrite([21231(7)]),flip(a)]. 25672 L(x,y * ((z * z) * u),w) = L(x,y * u,w). [para(6(a,1),25655(a,2,2)),rewrite([23196(4),25426(6),25655(4)]),flip(a)]. 25690 L(x,T(y * (1 / z),K(u,z \ 1)),w) = L(x,z * T(y,T(z \ 1,u)),w). [para(251(a,1),25655(a,1,2)),rewrite([5548(6),562(7),23293(12)])]. 25697 L(x,y * z,u * K(w,y)) = L(x,T(y,w) * z,u). [para(7763(a,1),25655(a,2,2)),rewrite([9510(3),48(3),9138(3),25275(4)])]. 25699 L(x,y * (K(z,u) * w),v5) = L(x,y * w,v5 * K(u,z)). [para(7725(a,1),25655(a,2,2)),rewrite([23189(4),7724(5),10341(6),25655(6)]),flip(a)]. 25704 L(x,y \ z,u * K(y,w)) = L(x,T(y,w) \ z,u). [para(9113(a,1),25655(a,2,2)),rewrite([9510(3),48(3),10341(4)])]. 25714 L(x,y * T(T(z,T(y \ 1,u)),w),v5) = L(x,y * T(T(z,w),T(y \ 1,u)),v5). [para(4081(a,1),25655(a,1,2)),rewrite([5548(7),562(8),25690(9),23293(11)]),flip(a)]. 25716 L(x,(y \ 1) * z,u) = L(x,y * z,u). [para(337(a,1),25655(a,1,2,1)),flip(a)]. 25721 (x * ((1 / y) * z)) * L(u,y * z,x) = x * (((1 / y) * z) * u). [para(25655(a,1),380(a,1,2))]. 25754 L(x,y * (y * z),u) = L(x,L(z,y,y),u). [para(56(a,1),25603(a,1,2)),flip(a)]. 25755 L(x,y * (z * z),u) = L(x,T(y,z * z),u). [para(58(a,1),25603(a,1,2)),flip(a)]. 25767 L(x,T(y * K(z,u),w * w),v5) = L(x,T(y,w * w),v5 * K(u,z)). [para(10268(a,1),25603(a,1,2)),rewrite([25699(10),25755(10)])]. 25794 a(x,y,L((z * z) * u,w,v5)) = a(x,y,L(u,T(w,z * z),v5)). [back_rewrite(25007),rewrite([25755(7)])]. 25800 a(x,x,L(y,T(z,x * x),u)) \ L((x * x) * y,z,u) = L(x * (x * y),z,u). [back_rewrite(24504),rewrite([25755(3)])]. 25804 x * (x * L(y,T(z,x * x),u)) = L(x * (x * y),z,u). [back_rewrite(24394),rewrite([25755(3)])]. 25812 L(x,T(y,z * z),u) \ ((z * z) \ w) = L((z * z) * x,y,u) \ w. [back_rewrite(24134),rewrite([25755(3)])]. 25822 L(x,T(y,z * z),u) * (z * z) = L(x * (z * z),y,u). [back_rewrite(24110),rewrite([25755(3)])]. 25828 (x * x) * L(y,z * (u * (u * (x * x))),w) = L((x * x) * y,T(z,u * u),w). [back_rewrite(24081),rewrite([25755(12)])]. 25829 (x * x) * (L(y,T(z,x * x),u) * w) = L((x * x) * y,z,u) * w. [back_rewrite(24080),rewrite([25755(4)])]. 25833 L(x / (y * y),T(z,y * y),u) = L(x,z,u) / (y * y). [back_rewrite(24071),rewrite([25755(5)])]. 25838 L((x * x) \ y,T(z,x * x),u) = (x * x) \ L(y,z,u). [back_rewrite(24062),rewrite([25755(5)])]. 25845 L(x,y * (z * (z * a(u,w,a(v5,v6,v7)))),v8) = L(x,T(y,z * z),v8). [back_rewrite(21253),rewrite([25755(9)])]. 25854 L(x,T(y,z * z),u) = L(x,y,u). [hyper(5081,a,21231,a(flip),b,25672,a),rewrite([7735(5),25845(7)]),flip(a)]. 25862 L(x,y * ((z * z) \ u),w) = L(x,y * u,w). [para(51(a,1),25672(a,1,2,2)),flip(a)]. 25888 L(x,y * (z * (u * u)),w) = L(x,y * T(z,u * u),w). [para(410(a,1),25672(a,1,2,2))]. 25889 L(x,y * T(z,u * u),w) = L(x,y * z,w). [para(7735(a,1),25672(a,2,2)),rewrite([7735(5),8270(6),21262(7),25888(4),21255(9)])]. 25930 L(x,y * (z * (z * u)),w) = L(x,y * L(u,z,z),w). [para(380(a,1),25672(a,1,2,2))]. 25944 (x * x) \ L(y,z,u) = L((x * x) \ y,z,u). [back_rewrite(25838),rewrite([25854(5)]),flip(a)]. 25949 L(x,y,z) / (u * u) = L(x / (u * u),y,z). [back_rewrite(25833),rewrite([25854(5)]),flip(a)]. 25953 L((x * x) * y,z,u) * w = (x * x) * (L(y,z,u) * w). [back_rewrite(25829),rewrite([25854(4)]),flip(a)]. 25954 (x * x) * L(y,z,u) = L((x * x) * y,z,u). [back_rewrite(25828),rewrite([25930(6),322(3),25755(4),25854(4),25854(8)])]. 25958 L(x,y,z) * (u * u) = L(x * (u * u),y,z). [back_rewrite(25822),rewrite([25854(3)])]. 25968 L((x * x) * y,z,u) \ w = L(y,z,u) \ ((x * x) \ w). [back_rewrite(25812),rewrite([25854(3)]),flip(a)]. 25976 x * (x * L(y,z,u)) = L(x * (x * y),z,u). [back_rewrite(25804),rewrite([25854(3)])]. 25980 a(x,x,L(y,z,u)) \ L((x * x) * y,z,u) = L(x * (x * y),z,u). [back_rewrite(25800),rewrite([25854(3)])]. 25986 a(x,y,L((z * z) * u,w,v5)) = a(x,y,L(u,w,v5)). [back_rewrite(25794),rewrite([25854(7)])]. 25990 L(x,y * K(z,u),w) = L(x,y,w * K(u,z)). [back_rewrite(25767),rewrite([25854(5),25854(8)])]. 26007 L(x,y * (z * (u * u)),w) = L(x,y * z,w). [back_rewrite(25888),rewrite([25889(8)])]. 26139 a(x,L(K(y,z) * u,w,v5),v6) = a(x,L(u,w,v5 * K(z,y)),v6). [back_rewrite(13930),rewrite([25990(7)])]. 26140 a(x * (y * L(K(z,u) * w,v5,v6)),v7,v8) = a(x * (y * L(w,v5,v6 * K(u,z))),v7,v8). [back_rewrite(13892),rewrite([25990(9)])]. 26141 a(x * L(K(y,z) * u,w,v5),v6,v7) = a(x * L(u,w,v5 * K(z,y)),v6,v7). [back_rewrite(13783),rewrite([25990(8)])]. 26145 a(L(K(x,y) * z,u,w),v5,v6) = a(L(z,u,w * K(y,x)),v5,v6). [back_rewrite(12466),rewrite([25990(7)])]. 26151 K(x,y) * L(K(y,x) * z,u,w) = L(z,u,w * K(x,y)). [back_rewrite(12196),rewrite([25990(8)])]. 26163 L((x * x) * y,x,x) = x * (x * y). [hyper(295,a,24258,a(flip),b,25954,a),rewrite([409(1)]),flip(a)]. 26176 L(K(x,y) * z,u,w * K(y,x)) = K(x,y) * L(z,u,w). [hyper(5083,a,25954,a(flip),b,15112,a(flip)),rewrite([15026(5),7724(12),20597(13),6(13),12013(15),25944(14),24790(13),2739(6),26151(7)])]. 26221 (((x * x) \ y) * z) \ u = (y * z) \ ((x * x) * u). [hyper(295,a,11892,a(flip),b,25316,a),rewrite([23536(7),11892(9)])]. 26244 L(x,y,((z * z) \ u) * w) = L(x,y,u * w). [para(22473(a,1),25316(a,1,3))]. 26246 L(x,y,1 / z) = L(x,y,z). [para(22924(a,1),25316(a,1,3))]. 26268 T(x * x,((x * x) \ y) * z) = T(x * x,y * z). [back_rewrite(22432),rewrite([26221(10),58(10)])]. 26307 L(x,y,y) \ x = a(y,y,x). [hyper(5081,a,54,a(flip),b,26221,a),rewrite([22924(3),22934(5)]),flip(a)]. 26308 (x * ((y * y) \ x)) \ ((y * y) * z) = ((x * ((y * y) \ x)) \ (y * y)) * z. [hyper(295,a,22634,a,b,26221,a),rewrite([26221(7),49(6)]),flip(a)]. 26313 (((x * ((y * y) \ x)) \ (y * y)) * z) * u = ((x * ((y * y) \ x)) \ (y * y)) * (z * u). [hyper(295,a,22473,a(flip),b,26221,a),rewrite([26221(6),26308(6),26308(14)])]. 26327 ((x * (x * y)) * z) \ ((x * x) * u) = (L(y,x,x) * z) \ u. [para(56(a,1),26221(a,1,1,1)),flip(a)]. 26339 (T(x * x,y) \ z) \ u = z \ (T(x * x,y) * u). [para(225(a,2),26221(a,1,1,1)),rewrite([22944(5),11961(10),7763(9)])]. 26359 (a(x,y,z) * ((u * u) \ w)) \ v5 = (w * a(x,y,z)) \ ((u * u) * v5). [para(1143(a,2),26221(a,1,1))]. 26378 (x * y) \ ((x * x) * z) = ((1 / x) * y) \ z. [para(22924(a,1),26221(a,1,1,1)),flip(a)]. 26392 a(x * (x * y),z,u) = a(L(y,x,x),z,u). [back_rewrite(7681),rewrite([26327(10),54(7)]),flip(a)]. 26398 a((T(x,y) * z) * x,u,w) = a(L(z,x,x),u,w). [back_rewrite(12656),rewrite([26392(7)])]. 26399 L(x \ (T(y,z) \ u),x,y) = (T(y,z) * x) \ u. [hyper(295,a,11892,a(flip),b,25262,a),flip(a)]. 26400 L(x,y,L(T(z,u),w,v5)) = L(x,y,L(z,w,v5)). [para(60(a,1),25262(a,1,3))]. 26402 L(x,y,z / u) = L(x,y,u \ z). [para(246(a,1),25262(a,1,3)),flip(a)]. 26403 L(x,y,z * K(u,w)) = L(x,y,z). [para(10078(a,1),25262(a,1,3)),rewrite([12075(6)])]. 26404 L(x,y,(z \ u) \ u) = L(x,y,z). [para(411(a,1),25262(a,1,3))]. 26414 L(x,y,z \ 1) = L(x,y,z). [back_rewrite(26246),rewrite([26402(3)])]. 26415 (T(x / y,T(z,y)) * u) \ (x / y) = (T(y \ x,z) * u) \ (y \ x). [back_rewrite(25551),rewrite([26402(5),25395(5)]),flip(a)]. 26416 (T(x \ y,x) * z) \ (x \ y) = ((x \ y) * z) \ (y / x). [back_rewrite(25534),rewrite([26402(5),25395(5)])]. 26452 L(x \ y,x,y \ z) = ((z / y) * x) \ z. [back_rewrite(12000),rewrite([26402(3)])]. 26455 L(x,y,(y * x) \ z) = ((z / (y * x)) * y) \ z. [back_rewrite(385),rewrite([26402(3)])]. 26456 x \ ((x / y) * (y * z)) = L(z,y,y \ x). [back_rewrite(383),rewrite([26402(6)])]. 26458 K(x,y) * L(z,u,w) = L(K(x,y) * z,u,w). [back_rewrite(26176),rewrite([26403(5)]),flip(a)]. 26466 a(L(K(x,y) * z,u,w),v5,v6) = a(L(z,u,w),v5,v6). [back_rewrite(26145),rewrite([26403(7)])]. 26470 a(x * L(K(y,z) * u,w,v5),v6,v7) = a(x * L(u,w,v5),v6,v7). [back_rewrite(26141),rewrite([26403(8)])]. 26471 a(x * (y * L(K(z,u) * w,v5,v6)),v7,v8) = a(x * (y * L(w,v5,v6)),v7,v8). [back_rewrite(26140),rewrite([26403(9)])]. 26472 a(x,L(K(y,z) * u,w,v5),v6) = a(x,L(u,w,v5),v6). [back_rewrite(26139),rewrite([26403(7)])]. 26505 L(x,y * K(z,u),w) = L(x,y,w). [back_rewrite(25990),rewrite([26403(6)])]. 26514 L(x,T(y,z) \ u,w) = L(x,y \ u,w). [back_rewrite(25704),rewrite([26403(4)]),flip(a)]. 26517 L(x,y * (K(z,u) * w),v5) = L(x,y * w,v5). [back_rewrite(25699),rewrite([26403(8)])]. 26518 L(x,T(y,z) * u,w) = L(x,y * u,w). [back_rewrite(25697),rewrite([26403(4)]),flip(a)]. 26534 L(x,(y * z) * u,w) = L(x,(z * y) * u,w). [back_rewrite(25063),rewrite([26403(5)])]. 26536 L(x,T(y,z),u) = L(x,y,u). [back_rewrite(25039),rewrite([26403(3)]),flip(a)]. 26562 L(x,K(y,z) * u,w) = L(x,u,w). [back_rewrite(10341),rewrite([26403(6)])]. 26565 x \ L(y,x \ 1,x) = (x \ 1) * y. [back_rewrite(23167),rewrite([26414(5)])]. 26566 L(x,y,z \ a(u,w,a(v5,v6,v7))) = L(x,y,z). [back_rewrite(13067),rewrite([26414(7)])]. 26653 L(x,y,z) * K(u,w) = L(x * K(u,w),y,z). [back_rewrite(11593),rewrite([26458(4),2729(3)]),flip(a)]. 26655 T(x * y,z) \ (x * (y * u)) = L(K(z,x * y) * u,y,x). [back_rewrite(11206),rewrite([26458(9)])]. 26740 L(x,y * T(z,T(y \ 1,u)),w) = L(x,z * (1 / y),w). [back_rewrite(25690),rewrite([26536(8)]),flip(a)]. 26744 T(x,y) * (T(T(y,x),z) * u) = K(y,z) * (x * (y * u)). [back_rewrite(25336),rewrite([26536(4),380(4)]),flip(a)]. 26779 (x * T(y,z)) \ (x * (y * u)) = L(K(z,y) * u,y,x). [back_rewrite(9147),rewrite([26536(4)]),flip(a)]. 26827 x * L(T(y * K(L(y,z,u) * x,w),K(w,x * L(y,z,u))),z,u) = T(x * L(y,z,u),w). [back_rewrite(14312),rewrite([26653(9),11774(8)])]. 26838 (x * L(y / x,z,u)) / x = L((x * (y / x)) / x,z,u). [back_rewrite(5578),rewrite([26653(5),1841(4)]),flip(a)]. 26849 L(x,y * T(T(z,T(y \ 1,u)),w),v5) = L(x,z * (1 / y),v5). [back_rewrite(25714),rewrite([26740(14),26518(12)])]. 26853 K(x,T(T(y,z),u)) = K(x,T(y,z * u)). [back_rewrite(21884),rewrite([26779(8),73(2),75(2),74(2),12201(5),5678(4)]),flip(a)]. 26881 x * K(y,T(z,x * u)) = K(y,T(z,u)) * x. [back_rewrite(18143),rewrite([26853(3)])]. 26895 K(x,T(y,z * (u * z))) = K(x,T(y,u)). [back_rewrite(13477),rewrite([26853(4)])]. 26896 K(x,T(y,z * (z * u))) = K(x,T(y,u)). [back_rewrite(13349),rewrite([26853(4)])]. 26901 K(x,T(y,z * u)) * K(y,T(x,z)) = K(x,K(y,u)). [back_rewrite(11505),rewrite([26853(3),74(8)])]. 26916 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [back_rewrite(10718),rewrite([26853(5),1245(5),26853(4),26853(7)])]. 26918 K(x,T(y * z,y * u)) = K(x,T(z * y,u)). [back_rewrite(10699),rewrite([26853(4)])]. 26920 K(x,T(y,z * (u * (z * w)))) = K(x,T(y,u * w)). [back_rewrite(10690),rewrite([26853(6),26853(6),2712(7),26853(5),26853(8)])]. 26924 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (w * u))). [back_rewrite(10686),rewrite([26853(3),2722(6),26853(4),26853(8),26853(8)])]. 26956 ((x * y) / x) / ((x * (y * K(z,T(y,u)))) / x) = K(y,T(z,x * u)). [back_rewrite(4527),rewrite([26853(11)])]. 26959 K(x \ y,T(z,y * u)) = K(y / x,T(z,u)). [back_rewrite(3578),rewrite([26853(4)])]. 26962 K(x / y,T(z,x * u)) = K(y \ x,T(z,u)). [back_rewrite(3547),rewrite([26853(4)])]. 26976 K(x,T(y,z)) * K(x,K(y,u)) = K(x,T(y,z * u)). [back_rewrite(2722),rewrite([26853(8)])]. 26983 K(x,T((y * z) / y,u)) = K(x,T(z,y * u)). [back_rewrite(2611),rewrite([26853(7)])]. 26985 K(x * y,T(z,x * u)) = K(y * x,T(z,u)). [back_rewrite(1660),rewrite([26853(4)])]. 26989 K(x * y,T(z,y * u)) = K(y * x,T(z,u)). [back_rewrite(1287),rewrite([26853(4)])]. 26991 K(x,T(y * K(z,y),u)) = K(x,T(y,z * u)). [back_rewrite(1245),rewrite([26853(7)])]. 26993 K(x / y,T(z,y * u)) = K(y \ x,T(z,u)). [back_rewrite(1181),rewrite([26853(4)])]. 26994 K(x \ y,T(z,x * u)) = K(y / x,T(z,u)). [back_rewrite(1069),rewrite([26853(4)])]. 27008 K(x,L(y,z,u) * (u * z)) = K(x,T((z * y) * u,z)). [back_rewrite(17957),rewrite([26918(5)]),flip(a)]. 27012 K((x * a(y,z,u)) * w,T(v5,x)) = K(w * (x * a(y,z,u)),v5). [back_rewrite(15180),rewrite([26985(6)])]. 27017 K((K(x,y) * z) / (x * y),u) = K((y \ z) / x,T(u,y)). [back_rewrite(6546),rewrite([26994(10)])]. 27021 K(x,L(L(y,z,u),w,v5) * (u * z)) = K(x,T((z * L(y,w,v5)) * u,z)). [back_rewrite(24467),rewrite([27008(5)]),flip(a)]. 27023 K(x,T((y * L(T(z,u * y),w,v5)) * u,y)) = K(x,u * (y * L(z,w,v5))). [back_rewrite(24451),rewrite([27021(7)])]. 27102 x / L(y \ z,y,z \ x) = (x / z) * y. [hyper(271,a,340,a,b,26452,a(flip))]. 27117 L(x \ (1 / L(y,z,u)),x,L(y,z,u)) = (L(1 / (1 / y),z,u) * x) \ 1. [para(88(a,1),26452(a,2,1,1)),rewrite([340(9)])]. 27278 L(x,L(T(y,z),u,w) * v5,v6) = L(x,L(y,u,w) * v5,v6). [para(60(a,1),26518(a,1,2,1))]. 27281 L(x,R(y,z,y),u) = L(x,y,u). [para(192(a,1),26518(a,1,2)),rewrite([26505(6)])]. 27287 L(x,(y / z) * u,w) = L(x,(z \ y) * u,w). [para(246(a,1),26518(a,1,2,1)),flip(a)]. 27291 L(x,y * T(z,u),w) = L(x,y * z,w). [para(410(a,1),26518(a,1,2)),rewrite([251(6),26536(7)])]. 27293 L(x,y * (z * K(u,w)),v5) = L(x,y * z,v5). [para(7726(a,1),26518(a,2,2)),rewrite([26505(5),26536(3)]),flip(a)]. 27294 L(x,((y \ z) \ z) * u,w) = L(x,y * u,w). [para(411(a,1),26518(a,1,2,1))]. 27296 L(x,y * (T(z,y) * u),w) = L(x,y * (z * u),w). [para(9213(a,1),26518(a,1,2)),flip(a)]. 27307 L(x,y * z,u) = L(x,z * y,u). [para(4081(a,1),26518(a,1,2)),rewrite([1039(5),1391(6),26536(6),27291(4),26518(3),27291(8),27291(7)])]. 27309 L(x,L(T(y,z),u,w) \ v5,v6) = L(x,L(y,u,w) \ v5,v6). [para(19895(a,1),26518(a,2,2)),rewrite([26505(7),26536(5),26536(9)])]. 27310 L(x,y * (z * a(a(u,w,v5),v6,v7)),v8) = L(x,y * z,v8). [para(7727(a,1),26518(a,2,2)),rewrite([22305(5),26518(6),22312(10)])]. 27313 (x * (T(y,z) * u)) * L(w,y * u,x) = x * ((T(y,z) * u) * w). [para(26518(a,1),380(a,1,2))]. 27326 L(x,y * (1 / z),u) = L(x,z * y,u). [back_rewrite(26849),rewrite([27291(7),27291(6)]),flip(a)]. 27362 T(x,y) * ((x * z) * u) = x * ((T(x,y) * z) * u). [back_rewrite(25357),rewrite([27313(6)]),flip(a)]. 27370 L(x,y,z \ (u * u)) = L(x,y,z). [hyper(5081,a,25316,a(flip),b,26414,a),rewrite([23536(5),49(4)]),flip(a)]. 27381 L(x,y,z \ K(u,w)) = L(x,y,z). [para(11961(a,1),26414(a,1,3)),rewrite([49(3),12075(6)])]. 27385 L(x,y,z * (u * K(w,v5))) = L(x,y,z * u). [para(12013(a,1),26414(a,1,3)),rewrite([12075(6),26414(4)]),flip(a)]. 27387 ((x \ 1) * y) * L(L(z,y,x),u,w) = (x \ 1) * (y * L(z,u,w)). [para(26414(a,1),24271(a,1,2,1))]. 27393 L(x,y,L(z \ u,z,u)) = L(x,y,(1 / u) * z). [para(26452(a,2),26414(a,1,3)),rewrite([26414(4)])]. 27402 L(x,y,z) \ L(x * K(u,w),y,z) = K(u,w). [hyper(5306,a,26653,a)]. 27438 L(x * K(y,z),u,w) * v5 = L(x,u,w) * (K(y,z) * v5). [para(26653(a,1),7687(a,2,1)),rewrite([9(3),48(6)]),flip(a)]. 27440 L(K(x,y) * z,u,w) * v5 = K(x,y) * (L(z,u,w) * v5). [para(26653(a,1),9670(a,1,1)),rewrite([5537(6),73(5),75(5),74(5),27438(7),24949(6),11629(5),26458(7),74(11),6159(10),74(10),548(11)]),flip(a)]. 27442 (x * L(y * K(z,u),w,v5)) * v6 = (x * L(y,w,v5)) * (K(z,u) * v6). [para(26653(a,1),9566(a,1,1,2))]. 27444 L(x,y,z) * (K(u,w) * K(v5,v6)) = L(x * (K(u,w) * K(v5,v6)),y,z). [para(26653(a,1),7726(a,1,1)),rewrite([26653(5),7726(4)]),flip(a)]. 27446 L(x * K(y,z),u,w) \ v5 = K(z,y) * (L(x,u,w) \ v5). [para(26653(a,1),11892(a,2,1)),rewrite([5754(4),5538(7)]),flip(a)]. 27463 L(x,y,z) * (K(u,w) * T(v5,x * K(u,w))) = v5 * L(x * K(u,w),y,z). [para(26653(a,1),11786(a,1,2,2,2)),rewrite([6174(6),5538(10),26653(10)])]. 27472 (x * L(y * K(z,u),w,v5)) \ v6 = K(u,z) * ((x * L(y,w,v5)) \ v6). [para(26653(a,1),12013(a,1,1,2))]. 27477 L(x,y,L(z * K(u,w),v5,v6)) = L(x,y,L(z,v5,v6)). [para(26653(a,1),24266(a,1,2,1)),rewrite([5538(10),27438(9),24267(10),5539(2),26562(4),5538(5),26653(5)]),flip(a)]. 27481 L(x,L(y * K(z,u),w,v5),v6) = L(x,L(y,w,v5),v6). [para(26653(a,1),24267(a,1,1,2)),rewrite([27472(10),56(9),26458(6),5784(4),5538(5),26653(5)]),flip(a)]. 27485 L(x,L(T(y,z),u,w),v5) = L(x,L(y,u,w),v5). [para(26653(a,1),26518(a,2,2)),rewrite([60(2),26653(4),27481(5),27481(7)])]. 27491 ((x * y) / x) * L(x,z,u) = L(x,z,u) * y. [back_rewrite(4488),rewrite([27438(6),8553(5),164(4)]),flip(a)]. 27503 L(K(x,y) * z,u,w) \ v5 = L(z,u,w) \ (K(y,x) * v5). [back_rewrite(20053),rewrite([27446(4),7726(7),19962(7)]),flip(a)]. 27508 K(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ K(x,y). [back_rewrite(6245),rewrite([27446(5)])]. 27516 L(x,y,z) \ K(x,K(u,x \ 1)) = T(L(x,y,z) \ 1,K(x,u)). [back_rewrite(5661),rewrite([27508(8)])]. 27528 K(x / y,T(z,u * (x * w))) = K(y \ x,T(z,u * w)). [hyper(5081,a,242,a,b,26853,a),rewrite([26853(5),26924(5),26853(9)])]. 27536 K(x * y,T(z,u * y)) = K(y * x,T(z,u)). [hyper(295,a,181,a(flip),b,26853,a),flip(a)]. 27541 K(x,T(y,z * (u * (w * w)))) = K(x,T(y,z * u)). [para(7(a,1),26853(a,2,2,2)),rewrite([22841(4),26924(5),26895(5)]),flip(a)]. 27543 T(x,T(T(y,z),u)) = T(x,T(y,z * u)). [para(26853(a,1),149(a,1,2)),rewrite([149(4)]),flip(a)]. 27544 K(x,K(y,z)) * T(T(z,u),w) = T(T(z,u),K(y,x) * w). [para(26853(a,1),155(a,1,1,2)),rewrite([1373(4),11427(9)])]. 27550 K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). [para(162(a,1),26853(a,1,2,1)),rewrite([26853(5),7725(3),7724(8),9756(10)])]. 27562 K(x,T(y,z * T(u,w))) = K(x,T(y,z * u)). [para(186(a,2),26853(a,1,2)),rewrite([186(4),2717(4),26853(3)]),flip(a)]. 27575 K(x,T(y / z,T(z,y) * u)) = K(x,T(z \ y,u)). [para(246(a,1),26853(a,1,2,1)),flip(a)]. 27578 K(x,T(y,T(z,u) * w)) = K(x,T(y,w * z)). [para(253(a,2),26853(a,1,2)),rewrite([1039(2),178(6),4244(7),26853(4),27562(8)])]. 27585 K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). [para(561(a,1),26853(a,1,2,1)),flip(a)]. 27586 K(x,T(y,z * a(u,w,v5))) = K(x,T(y,z)). [para(561(a,1),26853(a,1,2)),flip(a)]. 27587 K(x,T(y / z,z * u)) = K(x,T(z \ y,u)). [para(412(a,1),26853(a,1,2,1)),flip(a)]. 27600 K(x,T(y,L(z,u,w) * v5)) = K(x,T(y,z * v5)). [para(6174(a,1),26853(a,1,2,1)),rewrite([26853(3)]),flip(a)]. 27601 K(x,T(y,z * L(u,w,v5))) = K(x,T(y,z * u)). [para(6174(a,1),26853(a,1,2)),rewrite([26853(3)]),flip(a)]. 27605 K(x,T(y,z * ((u * w) \ v5))) = K(x,T(y,z * (w \ (u \ v5)))). [para(12024(a,1),26853(a,1,2)),rewrite([26853(5)]),flip(a)]. 27622 K(x,T(y,z * (T(u,w) * v5))) = K(x,T(y,u * (z * v5))). [para(13996(a,1),26853(a,2,2,2)),rewrite([27543(6),2717(7),59(4),27562(5),26853(4),26924(10),7753(7)]),flip(a)]. 27711 T(x,y * (K(z,u * y) * u)) = T(x,T(u * y,u * z)). [back_rewrite(10719),rewrite([27543(9)])]. 27722 T(x,T(y,(z * u) * (u \ w))) = T(x,T(y,z * w)). [back_rewrite(6449),rewrite([27543(7),4743(6),2948(5),27543(8)]),flip(a)]. 27733 T(x,T(y,z * (u * y))) = T(x,T(y,z * u)). [back_rewrite(4760),rewrite([27543(5),1512(5),27543(4),27543(7)])]. 27739 T(x,T((y * z) / y,u)) = T(x,T(z,y * u)). [back_rewrite(4293),rewrite([27543(7)])]. 27740 T(x,T(y,z * (u * z))) = T(x,T(y,u)). [back_rewrite(4281),rewrite([27543(4),27543(4)])]. 27742 T(x,T(y,z * z)) = T(x,y). [back_rewrite(3873),rewrite([27543(3)])]. 27759 T(x * K(y,z),T(u,x * w)) = T(x * K(y,z),T(u,w)). [back_rewrite(3730),rewrite([27543(7),7724(5),9805(7)])]. 27773 T(x,T(y * K(z,y),u)) = T(x,T(y,z * u)). [back_rewrite(1512),rewrite([27543(7)])]. 27781 T(x,T(y,x * z)) = T(x,T(y,z)). [back_rewrite(245),rewrite([27543(3)])]. 27798 K(x,T(y / z,u * z)) = K(x,T(z \ y,u)). [back_rewrite(27575),rewrite([27578(5)])]. 27834 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(51(a,1),26896(a,1,2,2,2)),flip(a)]. 27838 T(x,T(y,z * (z * u))) = T(x,T(y,u)). [para(26896(a,1),149(a,1,2)),rewrite([149(3)]),flip(a)]. 27845 T(x,y * (y * z)) * K(u,T(x,z)) = T(x * K(u,x),y * (y * z)). [para(26896(a,1),178(a,1,2))]. 27847 T(x,T(y,(z * (z * u)) * w)) = T(x,T(y,w * u)). [para(26896(a,1),186(a,1,2,2)),rewrite([27845(6),27838(6),27773(4),27543(8)]),flip(a)]. 27871 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(411(a,1),26896(a,2,2)),rewrite([26896(5),27834(3),11014(3)]),flip(a)]. 27873 K(x,T(y,(z / u) * w)) = K(x,T(y,(u \ z) * w)). [para(13288(a,1),26896(a,1,2,2,2)),rewrite([241(6),27622(8),26896(6)])]. 27897 K(x * (1 / y),T(z,y)) = K((1 / y) * x,z). [back_rewrite(23276),rewrite([27834(7),49(5)])]. 27924 K(x / ((y * z) \ u),T(w,z * (y \ u))) = K(((y * z) \ u) \ x,w). [back_rewrite(12409),rewrite([27834(7)])]. 27939 (x \ y) \ (T(x,z) \ y) = K(z,T(x,y)). [back_rewrite(11178),rewrite([27834(7),11014(7)])]. 27949 K(x,y / (y / z)) = K(x,T(z,y)). [back_rewrite(1989),rewrite([27834(3),11014(3)]),flip(a)]. 28009 (x * L(K(y,z) * u,w,v5)) \ (x * (K(y,z) * (L(u,w,v5) * v6))) = L(v6,L(u,w,v5),x). [para(26458(a,1),24266(a,1,1,2)),rewrite([5538(9),7725(9),5538(13),26403(14)])]. 28010 L(x,y,L(K(z,u) * w,v5,v6)) = L(x,y,L(w,v5,v6)). [para(26458(a,1),24266(a,1,2,1)),rewrite([5539(10),27440(9),24267(10),5539(6),5539(5),26458(5)]),flip(a)]. 28012 L(x,L(K(y,z) * u,w,v5),v6) = L(x,L(u,w,v5),v6). [para(26458(a,1),24267(a,1,1,2)),rewrite([28009(10),5539(5),26458(5)]),flip(a)]. 28029 L(x,(y / z) \ u,w) = L(x,(z \ y) \ u,w). [para(246(a,1),26514(a,1,2,1)),flip(a)]. 28031 L(x,y \ (K(z,u) * w),v5) = L(x,y \ w,v5). [para(10078(a,1),26514(a,1,2,1)),rewrite([12023(3),26562(4),11961(5)]),flip(a)]. 28032 L(x,((y \ z) \ z) \ u,w) = L(x,y \ u,w). [para(411(a,1),26514(a,1,2,1))]. 28033 L(x,(y \ z) \ z,u) = L(x,y,u). [para(411(a,2),26514(a,2,2)),rewrite([26514(4),26536(6)])]. 28037 L(x,(a(y,z,u) * w) \ v5,v6) = L(x,(w * a(y,z,u)) \ v5,v6). [para(15051(a,1),26514(a,1,2,1)),rewrite([26514(5)]),flip(a)]. 28056 L(x,R(T(y,z),u,w),v5) = L(x,R(y,u,w),v5). [para(61(a,1),26536(a,1,2))]. 28057 L(x,y / z,u) = L(x,z \ y,u). [para(246(a,1),26536(a,1,2)),flip(a)]. 28060 (x * T(y,z)) * L(u,y,x) = x * (T(y,z) * u). [para(26536(a,1),380(a,1,2))]. 28083 L(x,y \ 1,z) = L(x,y,z). [back_rewrite(25669),rewrite([28057(3)])]. 28090 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [back_rewrite(12001),rewrite([28057(3)])]. 28098 x \ L(y,x,x) = (x \ 1) * y. [back_rewrite(26565),rewrite([28083(3)])]. 28101 L(x,y \ a(z,u,a(w,v5,v6)),v7) = L(x,y,v7). [back_rewrite(21241),rewrite([28083(7)])]. 28106 L(x,y \ (z * z),u) = L(x,y,u). [hyper(5081,a,25603,a(flip),b,28083,a),rewrite([23536(5),49(4)]),flip(a)]. 28109 L((x \ 1) \ (y \ z),x,y) = (y * (x \ 1)) \ z. [hyper(295,a,11892,a(flip),b,28083,a),flip(a)]. 28114 L(x,y \ ((z * z) \ 1),u) = L(x,y,u). [para(11965(a,1),28083(a,1,2)),rewrite([25450(8)])]. 28115 L(x,y \ K(z,u),w) = L(x,y,w). [para(11961(a,1),28083(a,1,2)),rewrite([49(3),26562(6)])]. 28116 L(a(x,y,z),u,w) * (w * (u \ 1)) = w * ((u \ 1) * a(x,y,z)). [para(28083(a,1),15015(a,1,1))]. 28126 L(x,L(y \ z,y,z),u) = L(x,z * y,u). [para(26452(a,2),28083(a,1,2)),rewrite([26414(4),27287(7),25716(7)])]. 28142 L(a(x,y,z),u,w) * (w * (u \ K(v5,v6))) = w * ((u \ K(v5,v6)) * a(x,y,z)). [para(28115(a,1),15015(a,1,1))]. 28150 L(x,(y \ K(z,u)) * w,v5) = L(x,y * w,v5). [para(26452(a,2),28115(a,1,2)),rewrite([27381(4),28126(3),27287(6)]),flip(a)]. 28161 L(x,R(y * K(z,y),u,w),v5) = L(x,R(y,u,w),v5). [para(189(a,1),28056(a,1,2,1)),rewrite([28056(3),28056(7)]),flip(a)]. 28163 L(x,R(y / z,u,w),v5) = L(x,R(z \ y,u,w),v5). [para(246(a,1),28056(a,1,2,1)),flip(a)]. 28164 L(x,R(K(y,z) * u,w,v5),v6) = L(x,R(u * K(y,z),w,v5),v6). [para(10078(a,1),28056(a,1,2,1)),flip(a)]. 28165 L(x,R((y \ z) \ z,u,w),v5) = L(x,R(y,u,w),v5). [para(411(a,1),28056(a,1,2,1))]. 28420 L(x,L(y,z,z * y),u) = L(x,(z * y) * z,u). [para(26455(a,2),28083(a,1,2)),rewrite([26414(4),27287(8),25716(8)])]. 28434 L(x,y,L(L(K(z,u) * w,v5,v6),v7,v8)) = L(x,y,L(L(w,v7,v8),v5,v6)). [para(64(a,1),28010(a,2,3)),rewrite([26458(3)])]. 28448 L(x,y,L(z * (u * K(w,v5)),v6,v7)) = L(x,y,L(z * u,v6,v7)). [para(7713(a,2),28010(a,1,3,1)),rewrite([5754(4),73(5),9645(5),74(3),75(3),10537(5),26400(5),9510(6),7726(6)]),flip(a)]. 28466 L(x,y,T(z,u) \ w) = L(x,y,z \ w). [para(11215(a,1),26403(a,1,3)),rewrite([25262(4)]),flip(a)]. 28467 L(x,y,L(T(z,u),w,v5) \ v6) = L(x,y,L(z,w,v5) \ v6). [para(19895(a,1),26403(a,1,3)),rewrite([25262(5)]),flip(a)]. 28562 (x / y) * L((x / y) \ (y \ z),u,w) = y \ (x * L(x \ z,u,w)). [hyper(5083,a,7776,a,b,24474,a(flip)),rewrite([26458(7),17258(6)]),flip(a)]. 28563 x * L(x \ (x \ y),z,u) = x \ L(y,z,u). [hyper(5083,a,25954,a(flip),b,24474,a(flip)),rewrite([51(4)]),flip(a)]. 28569 (x * x) * (L((x * x) \ y,z,u) * w) = L(y,z,u) * w. [para(24474(a,1),5(a,1,1)),rewrite([28563(4),51(3)]),flip(a)]. 28584 T(x,y) * L(T(x,y) \ z,u,w) = x * L(x \ z,u,w). [para(149(a,1),24474(a,1,1)),rewrite([149(3),5754(9),9113(9),26458(10),8936(9)])]. 28593 R(x,y,x) * L(R(x,y,x) \ z,u,w) = x * L(x \ z,u,w). [para(192(a,1),24474(a,1,1)),rewrite([192(5),5754(13),11983(13),26458(12),11209(11),6493(9),28584(10)])]. 28648 (T(x,y) \ z) * L(K(x,y) * (T(x \ z,K(x,y)) \ u),w,v5) = (x \ z) * L((x \ z) \ u,w,v5). [para(11215(a,1),24474(a,1,1)),rewrite([11215(7),28584(9),5754(13),19966(13),26458(14)]),flip(a)]. 28670 T(x,y) * L(x \ T(y,x),z,u) = x * L(x \ y,z,u). [back_rewrite(2226),rewrite([28584(5)]),flip(a)]. 28733 K(x,y) * T(y * a(a(z,u,w),v5,v6),x) = y * a(a(z,u,w),v5,v6). [hyper(5083,a,7733,a,b,241,a),rewrite([7733(6),22141(5),9084(7)])]. 28754 (a(a(x,y,z),u,w) \ v5) * v6 = v5 * (a(a(x,y,z),u,w) \ v6). [hyper(5083,a,7733,a(flip),b,19228,a(flip)),rewrite([6592(8),20094(4)])]. 28759 x * ((x \ y) * a(a(z,u,w),v5,v6)) = y * a(a(z,u,w),v5,v6). [para(51(a,1),7733(a,1,1)),flip(a)]. 28791 (x * (y * a(a(z,u,w),v5,v6))) \ v7 = a(a(z,u,w),v5,v6) \ ((x * y) \ v7). [para(7733(a,1),11892(a,2,1)),rewrite([5533(9)]),flip(a)]. 28818 L(x,y * a(a(z,u,w),v5,v6),v7) = L(x,y,v7). [para(7733(a,2),21156(a,1,2)),rewrite([7733(6),27310(7),21156(4)]),flip(a)]. 28826 L(x,y,z * (u * a(a(w,v5,v6),v7,v8))) = L(x,y,z * u). [para(7733(a,1),24266(a,1,2,1)),rewrite([5533(13),20189(11),20305(12),50(11),56(6),5533(6),7733(6)]),flip(a)]. 28851 a(a(x,y,z),u,w) \ (v5 * v6) = v5 * (a(a(x,y,z),u,w) \ v6). [back_rewrite(20094),rewrite([28754(8)])]. 28887 a(a(x,y,z),u,w) \ (v5 \ v6) = v5 \ (a(a(x,y,z),u,w) \ v6). [para(48(a,1),28791(a,1,1,2)),rewrite([20287(4),49(8)]),flip(a)]. 28892 T(x * a(a(y,z,u),w,v5),v6) \ v7 = a(a(y,z,u),w,v5) \ (T(x,v6) \ v7). [para(149(a,1),28791(a,2,2,1)),rewrite([7753(5),22141(4)])]. 28969 (a(a(x,y,z),u,w) \ (v5 \ v6)) \ v7 = (v5 \ (a(a(x,y,z),u,w) \ v6)) \ v7. [hyper(293,a,28887,a)]. 28972 (x \ (a(a(y,z,u),w,v5) \ v6)) * v7 = (x \ v6) * (a(a(y,z,u),w,v5) \ v7). [hyper(289,a,28887,a),rewrite([28754(5)]),flip(a)]. 28984 a(a(x,y,z),u,w) \ (v5 \ (a(a(x,y,z),u,w) * v6)) = v5 \ v6. [para(50(a,1),28887(a,2,2))]. 28988 a(a(x,y,z),u,w) \ L(v5,v6,v7) = L(a(a(x,y,z),u,w) \ v5,v6,v7). [para(56(a,1),28887(a,1,2)),rewrite([28851(10),28851(9),56(11)])]. 28989 x \ (y * (a(a(z,u,w),v5,v6) \ x)) = a(a(z,u,w),v5,v6) \ T(y,x). [para(58(a,1),28887(a,1,2)),rewrite([28851(8)]),flip(a)]. 28990 a(a(x,y,z),u,w) \ (v5 \ (v6 * a(a(x,y,z),u,w))) = v5 \ v6. [para(58(a,1),28887(a,2,2)),rewrite([561(10)])]. 28992 a(a(x,y,z),u,w) \ (v5 \ a(a(x,y,z),u,w)) = v5 \ 1. [para(82(a,1),28887(a,2,2)),rewrite([547(5),11(9)])]. 29040 a(x \ (a(a(y,z,u),w,v5) \ v6),v7,v8) = a(x \ v6,v7,v8). [para(28887(a,1),12554(a,2,1)),rewrite([6706(4),20248(5)]),flip(a)]. 29057 1 / (a(a(x,y,z),u,w) * v5) = a(a(x,y,z),u,w) \ (1 / v5). [para(22924(a,1),28887(a,1,2)),rewrite([23229(10)]),flip(a)]. 29063 L(x,a(a(y,z,u),w,v5) \ (T(v6,v7) \ v8),v9) = L(x,v6 \ (a(a(y,z,u),w,v5) \ v8),v9). [para(28887(a,2),26514(a,1,2))]. 29088 a(a(x,y,z),u,w) \ T(v5,v6) = T(a(a(x,y,z),u,w) \ v5,v6). [hyper(7088,a,28754,a,b,28754,a),rewrite([28754(8),28989(9)]),flip(a)]. 29139 a(a(x,y,z),u,w) \ (v5 / (a(a(x,y,z),u,w) \ v6)) = v5 / v6. [hyper(5142,a,53,a(flip),b,28754,a),flip(a)]. 29151 (x * T(x \ y,z)) / T((a(a(u,w,v5),v6,v7) \ x) \ y,z) = a(a(u,w,v5),v6,v7) \ x. [hyper(5142,a,28754,a,b,165,a(flip)),rewrite([29088(8),29139(7),165(3)])]. 29174 (a(a(x,y,z),u,w) \ v5) \ (v5 * L(v5 \ v6,v7,v8)) = L((a(a(x,y,z),u,w) \ v5) \ v6,v7,v8). [hyper(5083,a,28754,a,b,207,a(flip)),rewrite([28988(11),29139(10),207(6)])]. 29175 (a(a(x,y,z),u,w) \ v5) \ (v5 * T(v5 \ v6,v7)) = T((a(a(x,y,z),u,w) \ v5) \ v6,v7). [hyper(5083,a,28754,a,b,165,a(flip)),rewrite([29088(11),29139(10),165(6)])]. 29178 (x * (a(a(y,z,u),w,v5) \ v6)) * v7 = (x * v6) * (a(a(y,z,u),w,v5) \ v7). [hyper(5081,a,13995,a,b,28754,a),rewrite([13995(10),28851(9)]),flip(a)]. 29190 x * (a(a(y,z,u),w,v5) \ 1) = a(a(y,z,u),w,v5) \ x. [hyper(295,a,49,a(flip),b,28754,a),flip(a)]. 29238 (x * (a(a(y,z,u),w,v5) \ v6)) \ (x * (v6 * (a(a(y,z,u),w,v5) \ v7))) = L(v7,v6,x). [hyper(5083,a,28754,a(flip),b,380,a),rewrite([28754(4),28851(8),20231(14)])]. 29249 L(x,a(a(y,z,u),w,v5) \ v6,v7) = L(x,v6,v7). [para(28754(a,1),56(a,1,2,2)),rewrite([29238(10)]),flip(a)]. 29298 a(x,x \ a(a(y,z,u),w,v5),v6) = a(x,x \ 1,v6). [para(28754(a,2),7603(a,1,1,2)),rewrite([28992(6),7601(5),22403(10)]),flip(a)]. 29302 L(x,y * (a(a(z,u,w),v5,v6) \ a(v7,v8,a(v9,v10,v11))),v12) = L(x,y,v12). [para(28754(a,1),21231(a,1,2)),rewrite([29249(11)])]. 29342 L(x,y \ (a(a(z,u,w),v5,v6) \ v7),v8) = L(x,y \ v7,v8). [back_rewrite(29063),rewrite([29249(6),26514(3)]),flip(a)]. 29427 L(x,y * (a(a(z,u,w),v5,v6) \ v7),v8) = L(x,y * v7,v8). [para(29178(a,1),21231(a,1,2)),rewrite([29302(8)]),flip(a)]. 29468 R(x,a(y,a(z,u,w),v5),T(v6,x * a(y,a(z,u,w),v5))) = x. [hyper(5142,a,7734,a,b,11786,a),rewrite([5532(3),7734(4),6621(12)])]. 29488 R(x,y,a(z,a(u,w,v5),v6)) = x. [hyper(5142,a,1143,a,b,7734,a(flip)),rewrite([15076(8)])]. 29501 a(x,a(y,z,u),w) \ (v5 * v6) = v5 * (a(x,a(y,z,u),w) \ v6). [hyper(5083,a,7734,a(flip),b,19228,a(flip)),rewrite([6592(8)])]. 29534 (x * (y * a(z,a(u,w,v5),v6))) * v7 = (x * y) * (a(z,a(u,w,v5),v6) * v7). [para(7734(a,1),7687(a,2,1)),rewrite([43(4),48(7)]),flip(a)]. 29536 a(x,a(y,z,u),w) * ((v5 * v6) * v7) = (v5 * v6) * (a(x,a(y,z,u),w) * v7). [para(7734(a,1),9670(a,1,1)),rewrite([11(8),49(6),29534(5),7728(10),70(14),408(12)]),flip(a)]. 29543 (x * (y * a(z,a(u,w,v5),v6))) \ v7 = a(z,a(u,w,v5),v6) \ ((x * y) \ v7). [para(7734(a,1),11892(a,2,1)),rewrite([5532(9)]),flip(a)]. 29545 a(x * (a(y,a(z,u,w),v5) * v6),v7,v8) = a(v6 * (x * a(y,a(z,u,w),v5)),v7,v8). [para(7734(a,2),12550(a,1,1)),rewrite([7734(4),7731(9)]),flip(a)]. 29574 a(x,y * a(z,a(u,w,v5),v6),v7) = a(x,y,a(z,a(u,w,v5),v6) * v7). [para(7734(a,2),7337(a,1,1,1)),rewrite([7734(4),29534(5),7731(9),7337(11)]),flip(a)]. 29583 L(x,a(y,a(z,u,w),v5) * v6,v7 * v8) = L(x,v6,v7 * (v8 * a(y,a(z,u,w),v5))). [para(7734(a,1),24266(a,1,2,1)),rewrite([5532(13),29534(11),24267(12),5535(3),5532(9),7734(9)])]. 29685 ((x * y) * (a(z,a(u,w,v5),v6) * v7)) * v8 = a(z,a(u,w,v5),v6) * (((x * y) * v7) * v8). [hyper(289,a,29536,a),rewrite([7728(6)]),flip(a)]. 29776 ((x * y) * (a(z,a(u,w,v5),v6) * v7)) \ v8 = ((x * y) * v7) \ (a(z,a(u,w,v5),v6) \ v8). [para(29536(a,1),11892(a,2,1)),rewrite([5535(11)]),flip(a)]. 29824 L(x,y,z * (u * a(w,a(v5,v6,v7),v8))) = L(x,y,z * u). [para(29536(a,2),24267(a,1,2)),rewrite([29776(12),50(11),56(6),5535(5),29583(7)]),flip(a)]. 29897 a(x,y,x) * (z * (a(x,y,x) \ u)) = z * u. [hyper(295,a,19130,a,b,7750,a),rewrite([6706(2),19389(5),6706(7),6592(9)])]. 29906 R(x,a(y,z,y) / (u * a(y,z,y)),u * a(y,z,y)) = (x * (a(y,z,y) / (u * a(y,z,y)))) * u. [hyper(267,a,19130,a,b,7750,a)]. 29916 R(x,y,a(z,u,z)) = x. [hyper(5142,a,1143,a,b,7750,a(flip)),rewrite([15076(6)])]. 29936 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(5083,a,7750,a(flip),b,19228,a(flip)),rewrite([6592(5)])]. 29938 L(K(x,y) * a(z,u,z),w,v5) = K(x,y) * a(z,u,z). [hyper(5083,a,7750,a(flip),b,9566,a(flip)),rewrite([7750(5),56(7)])]. 29950 (x * (y * a(z,u,z))) \ (y * (a(z,u,z) * x)) = K(y * a(z,u,z),x). [para(7750(a,2),55(a,1,1)),rewrite([7750(3),7749(6)])]. 29980 (x * (y * a(z,u,z))) * w = (x * y) * (a(z,u,z) * w). [para(7750(a,1),7687(a,2,1)),rewrite([128(3),48(6)]),flip(a)]. 29988 K(x * a(y,z,y),u) * ((u * x) * (a(y,z,y) * w)) = (x * (a(y,z,y) * u)) * w. [para(7750(a,2),7452(a,1,2,1)),rewrite([7750(6),29980(7),7749(11)])]. 29994 (x * (y * a(z,u,z))) \ w = a(z,u,z) \ ((x * y) \ w). [para(7750(a,1),11892(a,2,1)),rewrite([5526(7)]),flip(a)]. 30042 a(x,y * a(z,u,z),w) = a(x,y,a(z,u,z) * w). [para(7750(a,2),7337(a,1,1,1)),rewrite([7750(3),29980(4),7749(7),7337(9)]),flip(a)]. 30091 a(x,y,x) \ ((z * u) \ (u * (a(x,y,x) * z))) = K(u * a(x,y,x),z). [back_rewrite(29950),rewrite([29994(7)])]. 30142 K(T(x * y,y \ z) \ (x * z),u) = K(y \ z,T(u,x * y)). [para(21093(a,1),177(a,1,1)),rewrite([2717(7),6159(5)]),flip(a)]. 30168 K(x \ y,T(z,u * y)) = K(x \ y,T(z,u * x)). [para(21093(a,1),242(a,1,1)),rewrite([6159(5),30142(10)])]. 30183 (x * y) / T(z * x,T(z,x) \ y) = L(T(z,x) \ y,z,x). [para(410(a,1),21093(a,1,2,1)),rewrite([26536(10)])]. 30215 (x * y) / T(K(z,u) * x,y) = K(u,z) * y. [para(10078(a,2),21093(a,1,2,1)),rewrite([10078(4),5754(5),18927(6),5754(7),5538(9)])]. 30311 T(x * K(y,z),K(y,z) * u) = T(K(y,z) * x,u). [hyper(7088,a,30215,a,b,165,a),rewrite([9510(2),11427(5),5754(8),5754(14),30215(17),50(12)])]. 30365 T(K(x,y) * z,K(x,y) * u) = T(z * K(x,y),u). [hyper(5142,a,30215,a,b,165,a),rewrite([5754(2),5754(8),30215(11),9510(7),7726(7),5739(7),11427(5),9510(7)])]. 30384 (x * (T(y,K(z,u)) * w)) / T(K(u,z) * x,y * w) = y * (K(z,u) * w). [hyper(5081,a,24258,a,b,30215,a),rewrite([5539(4),7725(3),8587(13)]),flip(a)]. 30450 T(K(x,y) * z,u * K(y,x)) = T(K(y,x) * u,z) \ (u * z). [para(30215(a,1),246(a,1,1)),rewrite([27543(8),27740(8),10078(5)])]. 30466 T(K(x,y) * z,u) \ (z * u) = T(u * K(y,x),z). [para(30215(a,1),412(a,1,1)),rewrite([9831(6),11474(5)]),flip(a)]. 30515 a(x,y * (z * (K(u,w) * v5)),v6) = a(x,y * (z * v5),v6). [para(30215(a,1),14788(a,1,2,2,1)),rewrite([7724(6),13937(8),13932(6),7724(4),12465(5),30466(11),13932(12),7724(10),12465(11),14787(9),7725(6)]),flip(a)]. 30581 T(K(x,y) * z,u * K(y,x)) = T(z * K(x,y),u). [back_rewrite(30450),rewrite([30466(10)])]. 30824 (x * (1 / y)) / T(x,y \ 1) = 1 / y. [hyper(5081,a,22924,a,b,706,a),rewrite([22924(2),23218(8)]),flip(a)]. 30828 (x * (y * K(R(z,u,w) \ y,z))) / T(x,T(y,z)) = (R(z,u,w) \ y) * R(z,u,w). [hyper(5081,a,16894,a,b,706,a),rewrite([19637(14)]),flip(a)]. 30899 x \ (y * (a(z,u,a(w,v5,v6)) \ x)) = T(a(z,u,a(w,v5,v6)) \ y,x). [para(706(a,1),12908(a,1,1)),rewrite([19453(4),13351(9)])]. 30906 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(706(a,1),19130(a,1,1,2)),rewrite([706(7)])]. 30932 ((1 / x) * (1 / x)) \ 1 = x * (1 / (1 / x)). [hyper(5142,a,26378,a,b,22634,a),rewrite([1816(3),5754(6),333(7),9138(5),2045(4),758(4)]),flip(a)]. 30939 K(x \ 1,x) * ((x * x) * y) = (x * (1 / (1 / x))) * y. [hyper(5081,a,22634,a,b,26378,a),rewrite([30932(7),1816(9),5754(12)]),flip(a)]. 30953 (a(a(x,y,z),u,w) \ v5) \ v6 = v5 \ (a(a(x,y,z),u,w) * v6). [hyper(295,a,11962,a(flip),b,26378,a),rewrite([7730(8),50(9),6706(8),28754(9),48(9)]),flip(a)]. 30965 x \ ((x * x) * y) = (1 / x) \ y. [hyper(5083,a,26378,a(flip),b,12023,a(flip)),rewrite([12023(6),50(7)]),flip(a)]. 30971 K(x,y) * (T(z,K(x,y)) \ u) = z \ (K(x,y) * u). [para(76(a,1),26378(a,1,2,1)),rewrite([7725(6),13749(7),11961(5),12748(6),9510(8),48(8),11961(8)])]. 31036 (a(x,y,a(z,u,w)) \ v5) \ v6 = (v5 \ v6) * a(x,y,a(z,u,w)). [para(7729(a,1),26378(a,1,2)),rewrite([16926(10),16927(7),11963(4),19456(7),323(6),49(3),6706(8),19395(9),48(9)]),flip(a)]. 31049 ((1 / x) * (1 / x)) \ y = (x * (1 / (1 / x))) * y. [para(618(a,2),26378(a,2,1)),rewrite([1816(3),5754(6),30939(6),618(13)]),flip(a)]. 31092 (x * (a(a(y,z,u),w,v5) \ v6)) \ v7 = (x * v6) \ (a(a(y,z,u),w,v5) * v7). [para(7727(a,2),26378(a,1,1)),rewrite([7727(4),7730(10),11962(11),50(10),6706(9),28754(11),28851(10),48(11)]),flip(a)]. 31098 ((x * (1 / (1 / x))) * y) * z = (x * (1 / (1 / x))) * (y * z). [para(26378(a,2),22473(a,1)),rewrite([1816(3),5754(7),30939(7),31049(13)]),flip(a)]. 31103 ((1 / x) * y) \ L(z,x,x) = (x * y) \ (x * (x * z)). [para(380(a,1),26378(a,1,2)),flip(a)]. 31113 L((x * x) \ y,z,u) \ w = L(y,z,u) \ ((x * x) * w). [para(25954(a,1),26378(a,1,1)),rewrite([7(6),315(7),25968(8),50(7),23191(7),22634(9),25944(7)]),flip(a)]. 31118 L(x,y,(1 / z) * u) = L(x,y,z * u). [para(26378(a,2),26414(a,1,3)),rewrite([49(4),27370(4)]),flip(a)]. 31145 T(x \ (a(a(y,z,u),w,v5) * v6),v7) = T((x \ v6) * a(a(y,z,u),w,v5),v7). [back_rewrite(29175),rewrite([30953(7),20145(7),22173(5),30953(9)]),flip(a)]. 31146 a(a(x,y,z),u,w) * L(v5 \ v6,v7,v8) = L(v5 \ (a(a(x,y,z),u,w) * v6),v7,v8). [back_rewrite(29174),rewrite([30953(7),20145(7),30953(9)])]. 31147 (x * T(x \ y,z)) / T((x \ y) * a(a(u,w,v5),v6,v7),z) = a(a(u,w,v5),v6,v7) \ x. [back_rewrite(29151),rewrite([30953(7),31145(8)])]. 31153 (x \ (a(a(y,z,u),w,v5) \ v6)) \ v7 = (x \ v6) \ (a(a(y,z,u),w,v5) * v7). [back_rewrite(28969),rewrite([30953(5)]),flip(a)]. 31158 (T(x,y) \ z) * L((T(x,y) \ z) \ u,w,v5) = (x \ z) * L((x \ z) \ u,w,v5). [back_rewrite(28648),rewrite([30971(8),12020(6)])]. 31193 L(x,y,L(z \ u,z,u)) = L(x,y,u * z). [back_rewrite(27393),rewrite([31118(7)])]. 31228 T(1 / (1 / x),(1 / x) * y) = T(x,x * y). [hyper(5081,a,87,a,b,22989,a),rewrite([87(8),26402(16),26414(16),28057(14),28083(14),31103(13),58(12)])]. 31231 T(1 / x,x * x) = L(1 / x,x,x). [hyper(295,a,22634,a,b,22989,a),rewrite([22634(5),25944(3),22924(2)]),flip(a)]. 31233 (x * L(y,z,u)) \ L(L(y,x,x),z,u) = T(1 / x,x * L(y,z,u)). [hyper(295,a,6123,a,b,22989,a)]. 31331 (T(x,y) \ z) \ (x \ z) = K(x,T(y,z)). [para(9113(a,1),22989(a,1,1)),rewrite([5539(6),9510(7),48(7),9113(8),2598(8),27834(8),27578(8),14494(7)])]. 31346 (a(x,y,z) * u) \ L(a(x,y,z),u,u) = T(1 / u,u * a(x,y,z)). [para(1143(a,2),22989(a,1,1))]. 31380 L(x,L(1 / y,y,y),z) = L(x,L(y,y,y),z). [para(22989(a,1),25603(a,1,2)),rewrite([31231(4)])]. 31391 L(1 / x,y,z) * (x * u) = x * (L(x \ 1,y,z) * u). [para(22989(a,1),24474(a,1,2,1)),rewrite([2195(7),28098(7),58(9),2195(10)])]. 31412 T(x / y,y \ x) = x / y. [hyper(7088,a,7735,a,b,3836,a),rewrite([12132(6),7735(13),16924(14),11964(11),50(10),6592(10)])]. 31426 (x / y) \ (z * (((y \ x) * (x / y)) / z)) = (y \ x) * K(z,z \ ((y \ x) * (x / y))). [hyper(5083,a,7713,a(flip),b,3836,a)]. 31430 T(x \ y,(y / x) * K(z,z \ ((x \ y) * (y / x)))) = T(x \ y,K(z,z \ ((x \ y) * (y / x)))). [hyper(7088,a,7713,a(flip),b,3836,a(flip)),rewrite([4841(5),4841(13),4841(19),12023(22),31426(21),5739(22),562(16)])]. 31566 K(x,T(y,(z \ u) * ((u / z) * w))) = K(x,T(y,w)). [para(3836(a,2),26853(a,2,2,2)),rewrite([27873(6),26853(6),26896(6),3836(6)]),flip(a)]. 31592 ((x * y) / x) \ y = K(y,x). [para(50(a,1),3776(a,1,2)),rewrite([50(5)])]. 31603 (1 / T(x,y)) \ (x \ K(y,x)) = K(x \ K(y,x),x). [para(198(a,1),3776(a,1,1))]. 31606 K(x \ K(y,x),x) = K(x \ 1,x). [para(225(a,1),3776(a,1,2)),rewrite([31603(6),5827(8)])]. 31607 K(T(x,y) \ 1,x) = K(x \ 1,x). [para(225(a,2),3776(a,2,1)),rewrite([3776(5),31606(3)]),flip(a)]. 31615 (x / (x / y)) \ y = K(y,y \ x). [para(340(a,1),3776(a,1,2)),rewrite([340(5),238(5)])]. 31617 K(x \ y,x / y) = K(x \ y,y \ x). [para(3361(a,1),3776(a,1,2)),rewrite([3350(4),3776(7),8475(5),3361(7),8475(8)]),flip(a)]. 31630 (x / (x * x)) \ (1 / x) = K(x \ 1,x * x). [para(22924(a,1),3776(a,1,2)),rewrite([22924(7),10622(9)])]. 31648 T(x * K(y,z),x \ K(z,y)) \ 1 = T((x \ 1) * K(z,y),x). [hyper(7088,a,264,a,b,486,a),rewrite([12023(4),30581(7),12023(11),6545(14),12023(13),12277(13)]),flip(a)]. 31650 L(x,y,z) \ K(x \ 1,x) = T(L(x,y,z) \ 1,x). [hyper(7088,a,5537,a(flip),b,486,a),rewrite([6174(5),5666(9)]),flip(a)]. 31677 K(x,K(y,x \ 1)) = 1. [hyper(5083,a,486,a,b,164,a),rewrite([2598(4),2916(4),486(6),323(7),75(5),74(5)]),flip(a)]. 31678 K(x \ K(y,z),K(z,y) * x) = K(x \ 1,x). [hyper(5081,a,264,a,b,486,a),rewrite([12023(4),6545(7),12023(9),7724(12),9533(12),486(8),562(10),2598(10),1671(10)])]. 31701 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(5142,a,486,a(flip),b,7725,a),rewrite([11961(4),49(3),31678(5),2256(4),11961(6),49(5)]),flip(a)]. 31721 R(x,1 / y,y) = R(x,y \ 1,y). [para(486(a,1),57(a,1,2)),rewrite([9510(8),7726(8),149(7),14229(7),19129(4)])]. 31729 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(486(a,1),255(a,1,1)),rewrite([486(6),5754(7),21556(18)])]. 31744 a(x,x \ 1,x) = K(x,x \ 1). [para(486(a,1),353(a,1,1,2)),rewrite([758(4),48(6),31615(5)]),flip(a)]. 31776 a(x,y,z) * (u * (a(x,y,z) \ 1)) = R(u,a(x,y,z) \ 1,a(x,y,z)). [para(486(a,1),15076(a,1,2)),rewrite([70(11),336(8)])]. 31785 L(K(x \ 1,x) * y,x,x) = (x \ 1) * (x * y). [para(486(a,1),380(a,1,1)),rewrite([26414(6),26458(5)])]. 31788 x * (T(x \ 1,x) * y) = (x \ 1) * (x * y). [para(486(a,1),24258(a,1,1)),rewrite([28083(6),26458(5),31785(5)]),flip(a)]. 31798 L(x,x,y) = (y * (1 / x)) \ y. [para(486(a,1),26455(a,1,3,1)),rewrite([5754(6),12075(7),28083(3),486(4),9510(5),7725(8),2045(7),147(7,R),51(4)])]. 31807 K(x,x \ 1) * (((x \ 1) * (x \ 1)) * y) = (x * x) \ y. [para(486(a,1),26378(a,1,1)),rewrite([5754(10),337(14)])]. 31813 T(L(x,y,z) \ 1,K(x,u)) = L(x,y,z) \ 1. [back_rewrite(27516),rewrite([31677(5)]),flip(a)]. 31818 T(x \ 1,K(x,y)) = x \ 1. [back_rewrite(19925),rewrite([31701(4)]),flip(a)]. 31824 (x * (1 / y)) * y = R(x,y \ 1,y). [back_rewrite(19129),rewrite([31721(7)])]. 31831 T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1). [hyper(7088,a,31701,a,b,31701,a),rewrite([562(4),31701(9),5754(8)])]. 31849 (x \ K(y,z)) \ (x \ 1) = K(z,y). [hyper(5306,a,31701,a)]. 31850 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(5142,a,31701,a,b,31701,a),rewrite([31701(4),9510(4)])]. 31854 T(x,x \ 1) * K(y,z) = (x \ 1) \ K(y,z). [hyper(5142,a,411,a,b,31701,a),rewrite([9510(5)])]. 31864 (a(x,y,z) \ 1) \ K(u,w) = a(x,y,z) * K(u,w). [hyper(5142,a,6743,a(flip),b,31701,a),rewrite([9510(3)]),flip(a)]. 31865 (x \ K(y,x)) * K(z,u) = T(x,y) \ K(z,u). [hyper(5142,a,225,a(flip),b,31701,a),rewrite([9510(4)])]. 31873 T(x \ K(y,x \ 1),y) = x \ 1. [hyper(5081,a,235,a,b,31701,a),rewrite([31850(6),31701(9)])]. 31894 (x \ K(y,z)) \ (K(y,z) * (x \ 1)) = K(z,K(y,x \ K(y,z))). [para(31701(a,1),55(a,1,2)),rewrite([11961(7),74(11),75(11)])]. 31901 (x \ 1) / (x \ K(y,z)) = K(z,T(y,x)). [para(31701(a,1),147(a,1,1)),rewrite([74(10),75(10),74(10),4825(11),27834(9),9776(9)])]. 31910 T(x,K(y,z) * (u \ K(y,z))) = T(x,u \ 1). [para(31701(a,1),220(a,2,2)),rewrite([2598(4),27834(4),9776(4),2921(6)])]. 31912 K(x,y * (z \ K(u,K(w,v5)))) = K(x,y * (z \ 1)). [para(31701(a,1),232(a,1,2,2)),rewrite([73(6)]),flip(a)]. 31934 (K(x,y) / z) \ 1 = z * K(y,x). [para(340(a,1),31701(a,1,1)),flip(a)]. 31935 (a(x,y,z) \ K(u,w)) \ 1 = a(x,y,z) * K(w,u). [para(6743(a,1),31701(a,1,1)),flip(a)]. 31938 (x \ K(y,z)) * (K(z,y) * u) = (x \ 1) * u. [para(31701(a,1),7687(a,2,1)),rewrite([9(4),48(7)])]. 31944 (x * (y \ K(z,u))) * (K(u,z) * w) = (x * (y \ 1)) * w. [para(31701(a,1),9566(a,1,1,2)),flip(a)]. 31945 (x \ 1) * (K(y,z) * u) = (x \ K(y,z)) * u. [para(31701(a,1),9566(a,2,1)),rewrite([31938(6),31850(4)]),flip(a)]. 31952 K(x,y) * ((z \ K(x,y)) \ u) = (z \ 1) \ u. [para(31701(a,1),11892(a,2,1)),rewrite([5754(5),27381(9),5538(7)])]. 31953 a(x \ K(y,z),u,w) = a(x \ 1,u,w). [para(31701(a,1),12467(a,2,1)),rewrite([12491(6),12463(4)])]. 31956 a((x \ K(y,z)) * u,w,v5) = a(u * (x \ 1),w,v5). [para(31701(a,1),13792(a,2,1,2)),rewrite([12676(8),7725(5),12546(6)])]. 31959 a(x,y \ K(z,u),w) = a(x,y \ 1,w). [para(31701(a,1),13932(a,2,2)),rewrite([13972(6),13927(4)])]. 31964 L(T(x,y),z,u) \ K(x,y) = L(x,z,u) \ 1. [para(31701(a,2),19895(a,1,1)),rewrite([31701(6),31850(6),31813(9)])]. 31968 K(x,y) * ((z \ 1) \ u) = (z \ K(y,x)) \ u. [para(31701(a,1),12013(a,2,2,1)),rewrite([31938(6),31850(4)]),flip(a)]. 31986 T(x * K(y,z),x \ K(z,y)) \ 1 = T(x \ K(z,y),x). [back_rewrite(31648),rewrite([31850(11)])]. 31991 (x \ y) \ K(y \ x,z) = T((x \ y) \ 1,z). [back_rewrite(13007),rewrite([31850(6)])]. 32036 K(x,y) * (z \ K(y,x)) = T(z \ 1,K(y,x)). [hyper(7088,a,15119,a,b,31945,a),rewrite([20404(7),562(4),11961(14),15121(14),15582(13)]),flip(a)]. 32049 T(a(x,y,z) \ 1,K(u,w)) = a(x,y,z) \ 1. [hyper(7088,a,6592,a(flip),b,31945,a),rewrite([20404(7),562(5),11961(10),77(9)])]. 32135 (x \ 1) \ (x \ K(y,z)) = K(y,z). [hyper(5083,a,49,a(flip),b,31945,a),rewrite([49(8)])]. 32147 (x \ 1) * L((x \ 1) \ K(y,z),u,w) = L(x,u,w) * (x \ K(y,z)). [hyper(5081,a,18710,a(flip),b,31945,a),rewrite([26458(13),31952(12)]),flip(a)]. 32155 K(x,K(y,z \ K(x,y))) = K(z,K(x,y)). [hyper(266,a,197,a,b,31945,a),rewrite([31849(7),74(4),75(4),74(4),31901(10),5620(8),75(6),74(6)])]. 32171 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(5083,a,210,a(flip),b,31945,a(flip)),rewrite([11774(8),31850(6),31831(6),31894(7),74(4),32155(4),74(6),75(6)]),flip(a)]. 32199 (x \ K(y,z)) * (u * K(z,y)) = (x \ 1) * T(u,K(y,z)). [para(197(a,2),31945(a,1,2)),rewrite([5754(5),73(6),9645(6),149(5),9510(9)]),flip(a)]. 32212 T(x,K(y,z) * (u * (w \ 1))) = T(x,u * (w \ K(y,z))). [para(31945(a,1),262(a,1,2,1)),rewrite([9805(7),262(5),7724(9)]),flip(a)]. 32241 a(x * (y \ K(z,u)),w,v5) = a(x * (y \ 1),w,v5). [para(31945(a,2),12550(a,1,1)),rewrite([31945(5),31956(4)]),flip(a)]. 32244 (x \ K(y,z)) * (u * (K(z,y) * w)) = (x \ 1) * (T(u,K(y,z)) * w). [para(13288(a,2),31945(a,1,2)),rewrite([5754(5),2598(6),9756(6),5754(6),7724(7),9085(8),74(4),7755(6),9510(10),7725(11)]),flip(a)]. 32249 a(x,(y \ K(z,u)) * w,v5) = a(x,(y \ 1) * w,v5). [para(31945(a,1),13932(a,2,2)),rewrite([13937(7),13932(5)]),flip(a)]. 32251 a(x,y * (z \ K(u,w)),v5) = a(x,(z \ 1) * y,v5). [para(31945(a,2),14794(a,1,2)),rewrite([31945(5),32249(4)]),flip(a)]. 32259 (x \ K(y,z)) * (T(u,K(y,z)) * w) = (x \ 1) * (u * (K(y,z) * w)). [para(11786(a,1),31945(a,1,2)),rewrite([5539(4),9682(12),562(10)]),flip(a)]. 32296 T(x \ 1,K(y,z)) = x \ K(x,K(y,z)). [back_rewrite(19072),rewrite([32171(4)]),flip(a)]. 32362 T(x,K(y,z) * (u \ 1)) = T(x,u \ K(y,z)). [para(31850(a,1),162(a,2,2))]. 32388 T((x * y) * (z \ 1),K(y,x)) = (y * x) * (z \ K(x,y)). [para(31850(a,1),9670(a,1,2)),flip(a)]. 32394 K(x,y) * (z * (u \ K(y,x))) = T(z * (u \ 1),K(y,x)). [para(31850(a,1),11664(a,1,2,2)),rewrite([28083(4),5678(2),5754(5)])]. 32395 K(x,x \ 1) * K(y,z) = x * ((1 / x) * K(y,z)). [para(31850(a,1),13288(a,1,2)),rewrite([8515(6)])]. 32417 T(x,K(y,z) * (1 / u)) = T(x,u \ K(y,z)). [back_rewrite(23300),rewrite([32362(10)])]. 32442 T(x \ K(y,z),K(z,y) * u) = T(K(y,z) * (x \ 1),u). [hyper(7088,a,31938,a,b,31938,a),rewrite([31938(12),11961(11),9460(11)])]. 32456 K(x,y) * (a(z,u,w) \ 1) = a(z,u,w) \ K(x,y). [hyper(7088,a,6592,a(flip),b,31938,a),rewrite([20404(7),31831(5),11961(10),49(9)])]. 32475 ((x * x) \ y) / (K(z,u) * y) = (x * x) \ K(u,z). [hyper(5142,a,22473,a,b,31938,a),rewrite([48(3)])]. 32548 (x \ (y \ 1)) * a(z,u,a(w,v5,v6)) = x \ (y \ a(z,u,a(w,v5,v6))). [hyper(5083,a,31938,a,b,8271,a),rewrite([31938(7),12999(5)]),flip(a)]. 32556 T(K(x,y) * z,u \ K(y,x)) = T(z * K(x,y),u \ 1). [hyper(7088,a,31938,a(flip),b,410,a),rewrite([32442(7),9831(8),32362(7),32442(10),30466(14)])]. 32561 (x \ K(x,K(y,z))) * K(y,z) = K(y,z) * (x \ 1). [hyper(5142,a,31938,a(flip),b,210,a(flip)),rewrite([74(6),75(6),74(6),32155(6),31850(5),9510(5),562(9),31831(9)])]. 32571 R(x,y \ K(z,u),K(u,z) * w) = R(x,y \ 1,w). [para(31938(a,1),57(a,1,2)),rewrite([31944(6),57(8)]),flip(a)]. 32617 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [para(31938(a,1),7197(a,1,2,1)),rewrite([27834(7),9776(7),7724(10),32394(10),1671(11)])]. 32627 a(x,y,a(z,u,w)) \ ((v5 \ 1) \ v6) = (v5 \ a(x,y,a(z,u,w))) \ v6. [para(31938(a,2),11964(a,1,1)),rewrite([31938(7),12999(5)]),flip(a)]. 32659 T(x * x,y) \ 1 = T((x * x) \ 1,y). [back_rewrite(24038),rewrite([32475(6),225(4,R)])]. 32680 T((x * x) \ 1,y) * z = T(x * x,y) \ z. [back_rewrite(22944),rewrite([32659(4)])]. 32685 x * (T(y * y,x) \ z) = ((y * y) \ x) * z. [back_rewrite(23533),rewrite([32680(5)])]. 32713 (x * y) / (a(a(z,u,w),v5,v6) * y) = a(a(z,u,w),v5,v6) \ x. [hyper(5142,a,7730,a,b,13287,a),rewrite([6706(3),6592(6),547(7)])]. 32745 T(x / y,y * K(z,u)) = K(u,z) * (y \ (x * K(z,u))). [hyper(7088,a,7726,a,b,13287,a(flip)),rewrite([410(10),51(8),12023(9)])]. 32748 T(x / y,y * K(z,z \ x)) = K(z \ x,z) * (y \ (z * (x / z))). [hyper(7088,a,7713,a(flip),b,13287,a(flip)),rewrite([410(5),51(3),410(9),51(7),410(12),51(10),12023(11)])]. 32758 (x / (y * a(z,u,a(w,v5,v6)))) * a(z,u,a(w,v5,v6)) = x / y. [hyper(5142,a,7735,a,b,13287,a(flip)),rewrite([410(4),51(2),17628(7)])]. 32775 (x / (y * y)) \ (x * z) = (y * y) * z. [hyper(5083,a,22473,a,b,13287,a(flip)),rewrite([12024(7),23599(7),8082(7),50(7)])]. 32795 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(50(a,1),13287(a,1,1)),rewrite([50(2)]),flip(a)]. 32805 ((x * (y \ z)) * (T(y,y \ z) * u)) / ((z / y) * (y * u)) = R(x,y \ z,T(y,y \ z) * u). [para(13287(a,1),57(a,1,2))]. 32870 (x * (y \ z)) * (T(y,y \ z) * u) = (x * (z / y)) * (y * u). [para(13287(a,1),7687(a,1,2,2)),rewrite([13988(5),14968(8)]),flip(a)]. 32892 (x \ y) * (x * T(x,x \ y)) = (y / x) * (x * x). [para(618(a,2),13287(a,2,2)),rewrite([1599(4),618(9)])]. 32956 R(x,y \ z,T(y,y \ z) * u) = R(x,z / y,y * u). [back_rewrite(32805),rewrite([32870(6),57(8)]),flip(a)]. 33046 (x * (K(y,z) * u)) / (x * u) = K(y,T(z,x)). [hyper(5142,a,30215,a,b,32795,a),rewrite([8587(10),30384(9),2677(8)])]. 33129 ((x * (y * z)) / x) \ (x * (z * y)) = x * K(z,y). [hyper(5083,a,9670,a(flip),b,32795,a),rewrite([24931(7),562(7),11427(9),77(8),408(7)])]. 33229 x \ (y * (x * K(z,u))) = T(y,x) * K(z,u). [hyper(5083,a,7726,a,b,32795,a(flip)),rewrite([53(3),7726(3)])]. 33231 x \ (y * (x * (z * z))) = T(y,x) * (z * z). [hyper(5083,a,7,a,b,32795,a(flip)),rewrite([53(3),7(3)])]. 33283 K((x * y) * ((x * z) / x),T(u,z)) = K(z * (T(x,z) * y),u). [para(32795(a,1),181(a,2,1)),rewrite([1518(7),2717(7)])]. 33301 L(x \ y,z,u) * (T(x,x \ y) * w) = L(y / x,z,u) * (x * w). [para(207(a,2),32795(a,1,1,1)),rewrite([207(3),2194(4),6174(9)]),flip(a)]. 33313 K(x,T(y * z,T(u,y)) * ((y * u) / y)) = K(x,u * (T(y,u) * z)). [para(32795(a,1),229(a,2,2)),rewrite([1518(4)])]. 33439 ((x * y) / x) * (a(z,u,w) * x) = y * (T(x,y) * a(z,u,w)). [para(1143(a,2),32795(a,1,2))]. 33470 (x \ y) * (L(T(x,x \ y),z,u) * w) = (y / x) * (L(x,z,u) * w). [para(18710(a,2),32795(a,1,1,1)),rewrite([18710(5),18753(5),60(8)]),flip(a)]. 33523 L(x,y * (T(z,u \ (u \ y)) * w),v5) = L(x,y * (z * w),v5). [para(32795(a,2),25426(a,1,2)),rewrite([27287(7),50(4),25426(5),12024(6)]),flip(a)]. 33580 K(x,y) * T(z,u * K(x,y)) = T(z,u) * K(x,y). [back_rewrite(10320),rewrite([33229(4)]),flip(a)]. 33584 (x * x) * T(y,z * (x * x)) = T(y,z) * (x * x). [back_rewrite(6911),rewrite([33231(4)]),flip(a)]. 33590 L(x,(y * ((z * z) \ u)) * L(w,y,u),v5) = L(x,u * (y * w),v5). [back_rewrite(25660),rewrite([33523(12)])]. 33598 L(x,y,z) * (T(u,x) * K(w,v5)) = u * L(x * K(w,v5),y,z). [back_rewrite(27463),rewrite([33580(6)])]. 33622 T(x \ y,K(x,y)) = x \ y. [hyper(7088,a,194,a(flip),b,19907,a),rewrite([959(3),562(3),959(5),5754(7),11193(7)])]. 33656 T(T(x * K(y,z),T(y,z)),x) = T(x * K(y,z),y). [hyper(5142,a,58,a(flip),b,19907,a),rewrite([27562(6),9510(6),1039(5),14494(5),24954(5),19893(4),11783(8)])]. 33669 (x \ (K(y,z) * u)) * K(w,T(x,u)) = T(x,w) \ (K(y,z) * u). [hyper(5081,a,11961,a,b,19907,a),rewrite([11961(4),9756(11)]),flip(a)]. 33699 K(x,K(y,z)) * (y \ z) = T(y \ z,K(x,y)). [hyper(5083,a,19907,a(flip),b,410,a),rewrite([5754(5),1039(2),11197(5),1391(8)])]. 33709 (L(x,y,z) \ u) * K(w,T(x,u)) = L(T(x,w),y,z) \ u. [para(60(a,1),19907(a,1,2,2)),rewrite([5537(5),60(7)])]. 33711 (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. [para(73(a,1),19907(a,1,2)),rewrite([1373(4),75(3),74(3)])]. 33747 K(x,T(y,T(z,u)) \ u) = K(x,T(y,z) \ u). [para(19907(a,1),264(a,2,2)),rewrite([11218(4)])]. 33776 (x \ (x \ y)) * K(z,T(x,y)) = T(x,z) \ (x \ y). [para(411(a,1),19907(a,1,2,2)),rewrite([27871(5)])]. 33792 K(x,y) * K(z,T(y,x)) = T(T(y,x),z) \ y. [para(801(a,1),19907(a,1,1)),rewrite([1343(3)])]. 33798 ((x * a(y,z,u)) \ w) * K(v5,T(a(y,z,u) * x,w)) = T(x * a(y,z,u),v5) \ w. [para(15051(a,2),19907(a,1,2,2))]. 33805 T(x * K(y,z),u) * K(w,T(u,x)) = K(w,u) * T(x * K(y,z),u). [para(10268(a,1),19907(a,1,1)),rewrite([26916(8),9776(7),18951(11)])]. 33847 T(x,T(x,y) \ 1) \ y = (x \ y) * K(x \ 1,x). [para(486(a,2),19907(a,1,2)),rewrite([486(6),5827(6)]),flip(a)]. 33858 K(x,y) * ((z \ u) * K(x,K(y,z))) = z \ (K(x,y) * u). [back_rewrite(19961),rewrite([74(4),75(4),74(4)])]. 33918 (T(x,y) \ z) \ (K(y,x) * u) = (x \ z) \ u. [para(51(a,1),12020(a,1,2)),rewrite([5754(6)]),flip(a)]. 33999 a(x,(T(y,z) \ u) \ w,v5) = a(x,(y \ u) \ w,v5). [para(12020(a,1),13936(a,2,2)),rewrite([14808(6),13936(4)]),flip(a)]. 34030 L(x,(T(y,z) \ u) \ w,v5) = L(x,(y \ u) \ w,v5). [para(12020(a,1),26514(a,2,2)),rewrite([28031(6),26514(4)]),flip(a)]. 34080 L(x,(y \ (K(z,u) * w)) \ v5,v6) = L(x,(y \ w) \ v5,v6). [para(10078(a,1),34030(a,1,2,1,1)),rewrite([12023(3),11961(4),28031(5),11961(6)]),flip(a)]. 34160 (T(x,y) \ z) \ (T(y,x) * u) = (x \ z) \ (y * u). [para(7763(a,1),33918(a,1,2))]. 34218 (1 / x) \ (y * y) = x * (y * y). [hyper(268,a,337,a,b,23196,a),rewrite([23536(6),49(5)])]. 34225 (x * x) \ (1 / (y / (x * x))) = 1 / y. [para(53(a,1),23196(a,1,2)),flip(a)]. 34230 1 / T(x * x,y) = T((x * x) \ 1,y). [para(168(a,1),23196(a,1,2)),rewrite([9510(9),48(9),225(8,R),32659(8)])]. 34323 L((1 / x) \ x,x,x) = x * (1 / (1 / x)). [hyper(5081,a,26452,a,b,23191,a),rewrite([26414(8),28057(6),28083(6),23191(11),31049(11),49(11)])]. 34328 K(x \ (x \ 1),y) = K(y,x * x). [para(23191(a,1),165(a,1,1,1)),rewrite([32680(6),801(4),3169(8),6385(6)]),flip(a)]. 34352 x \ ((y * y) \ (x / ((y * y) \ 1))) = K(x * (y * y),y * y). [back_rewrite(23476),rewrite([34328(13),6775(11,R)])]. 34355 (x * x) \ (y / ((x * x) \ 1)) = y * K(y * (x * x),x * x). [back_rewrite(23406),rewrite([34328(6),6775(4,R)]),flip(a)]. 34364 K(x,K(y,z)) * T(u,w) = T(K(x,K(y,z)) * u,w). [para(1365(a,1),149(a,1,2)),rewrite([7726(5),149(4)])]. 34372 K(T(x,K(y,z)) * u,w) = K(x * u,w). [para(7763(a,1),1365(a,1,1))]. 34382 T(T(x,K(y,z) * u),w) = T(T(x,u),K(y,z) * w). [back_rewrite(27544),rewrite([34364(5),11487(4)])]. 34397 T(T(x,y),K(x,z) * u) = T(T(x,u),y). [back_rewrite(18235),rewrite([34382(4)])]. 34436 T(x,y) * K(z,K(u,w)) = T(x * K(z,K(u,w)),y). [para(1366(a,1),168(a,1,1)),rewrite([7763(5)])]. 34443 T(x * K(y,K(z,u)),w) * v5 = T(x,w) * (K(y,K(z,u)) * v5). [para(1366(a,1),7763(a,1,1)),rewrite([7725(5),7763(6)]),flip(a)]. 34452 K(T(x,K(y,z)) \ u,w) = K(x \ u,w). [para(11215(a,1),1366(a,1,1)),rewrite([548(4)]),flip(a)]. 34508 K(x,T(y / (y / z),u)) = K(x,T(z,u * y)). [para(11749(a,1),257(a,1,2,1,2,2)),rewrite([26956(8)]),flip(a)]. 34548 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [hyper(5081,a,5537,a(flip),b,2399,a),rewrite([5537(7)]),flip(a)]. 34563 K(x / y,T(y,z)) = K(y \ x,T(y,z)). [para(2399(a,1),226(a,1,2,1,2)),rewrite([226(6)]),flip(a)]. 34580 K(x \ (y * (z / y)),T(u,z)) = K((y * (z / y)) / x,u). [hyper(7088,a,7776,a,b,9005,a),rewrite([4743(7),2598(6),2717(6),7776(15),7726(14),56(15),28057(11),5678(11)])]. 34581 K(x \ T(y,z),T(u,y)) = K(T(y,z) / x,u). [hyper(7088,a,7763,a,b,9005,a),rewrite([2598(5),2717(5),7763(11),50(11)])]. 34587 K(x \ L(y,z,u),T(w,y)) = K(L(y,z,u) / x,w). [hyper(7088,a,26653,a(flip),b,9005,a),rewrite([6174(5),2598(4),27402(11)])]. 34620 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(5142,a,19907,a(flip),b,9005,a),rewrite([11194(6)]),flip(a)]. 34659 K(x \ y,T(z,u * y)) = K(y / x,T(z,u)). [hyper(7088,a,9005,a(flip),b,7760,a),rewrite([2598(3),75(6),74(6),213(8),2598(4),26853(4),75(7),74(7),11961(12),73(7),75(7),74(7),33229(12),2598(8),2598(7),1373(8),2662(10)])]. 34760 K(x \ (K(y,z) * u),w) * u = u * K(u / (K(z,y) * x),w). [para(11961(a,1),9005(a,1,1,1))]. 34821 K(x,T(y \ z,z)) = K(x,z / y). [para(9005(a,1),22989(a,1,1)),rewrite([5539(8),12023(4),323(3),49(4),9510(6),48(6),9005(7),11490(8),2598(8),9776(8)]),flip(a)]. 34834 K(x \ y,T(z,u * x)) = K(y / x,T(z,u)). [back_rewrite(30168),rewrite([34659(4)]),flip(a)]. 34890 K(x,T((y * z) \ u,w)) = K(x,T(z \ (y \ u),w)). [hyper(295,a,11749,a(flip),b,12016,a),rewrite([11749(9)])]. 34896 K(x,y \ ((z / y) \ u)) = K(x,z \ u). [para(53(a,1),12016(a,1,2,1)),flip(a)]. 34897 K(x,L(y,z,u) \ y) = 1. [para(54(a,1),12016(a,1,2)),rewrite([70(2),12016(7),25156(7)]),flip(a)]. 34899 (x * ((y * z) \ u)) / x = ((y * z) \ u) * K(x,z \ (y \ u)) # label(flip_matches_hint). [para(12016(a,1),147(a,2,2))]. 34900 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(147(a,2),12016(a,1,2,1)),rewrite([5754(7),11251(8)])]. 34916 K(x,T(y,z) \ (z \ u)) = K(x,y \ (T(z,y) \ u)). [para(203(a,1),12016(a,1,2,1)),rewrite([12016(5),34900(5)])]. 34929 K(x,T(y,z) \ (z \ u)) = K(x,z \ (y \ u)). [para(410(a,1),12016(a,1,2,1)),rewrite([12016(3)]),flip(a)]. 34939 K(x,K(y,z) * ((u * w) \ v5)) = K(x,K(y,z) * (w \ (u \ v5))). [para(7726(a,2),12016(a,1,2,1)),rewrite([7726(3),12013(4),12023(9)])]. 34959 K(x,a(y,z,u) \ (w \ v5)) = K(x,w \ (a(y,z,u) \ v5)). [para(1143(a,1),12016(a,1,2,1)),rewrite([12016(4)])]. 34984 K(x,L(L(y,z,u),w,v5) \ ((u * z) \ v6)) = K(x,L(y,w,v5) \ (z \ (u \ v6))). [para(24271(a,1),12016(a,1,2,1)),rewrite([12016(5),12016(5)]),flip(a)]. 35014 K(x,y \ (T(z,y) \ u)) = K(x,z \ (y \ u)). [back_rewrite(34916),rewrite([34929(4)]),flip(a)]. 35114 ((x * y) \ z) * K(y,y \ (x \ z)) = (y * ((x * y) \ z)) / y. [para(238(a,2),34899(a,2,2)),rewrite([238(9)]),flip(a)]. 35441 x / (K(y,K(z,u)) * (w * v5)) = x / (w * (K(y,K(z,u)) * v5)). [hyper(292,a,7862,a)]. 35487 K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). [para(168(a,1),7862(a,2,2))]. 35640 (x \ K(y,K(z,u))) * K(w,v5) = K(y,K(z,u)) * (x \ K(w,v5)). [para(31850(a,1),7862(a,1,2)),rewrite([31945(12)]),flip(a)]. 35692 K(x,K(y,z)) * (x \ K(y,z)) = K(y,z) * (x \ 1). [back_rewrite(32561),rewrite([35640(5)])]. 35720 T(x,T((y / z) / u,w)) = T(x,T(y / (u * z),w)). [para(5575(a,1),149(a,1,2)),rewrite([149(5)]),flip(a)]. 35837 T(x,(y / z) / u) = T(x,y / (u * z)). [hyper(5081,a,196,a(flip),b,35720,a),rewrite([196(7)]),flip(a)]. 35857 T(x,T(y / T(z,K(u,w)),v5)) = T(x,T(y / z,v5)). [para(152(a,1),35720(a,2,2,1,2)),rewrite([74(3),9510(4),73(3),75(3),74(3),13086(6)]),flip(a)]. 35891 T(x,T(y / (z * u),z)) = T(x,z \ (y / u)). [para(246(a,1),35720(a,1,2)),rewrite([2948(9)]),flip(a)]. 35907 T(x,T(y / (T(z,z \ (y / u)) * u),w)) = T(x,T(z \ (y / u),w)). [para(2244(a,1),35720(a,1,2,1)),flip(a)]. 35908 T(x,T(a(y,z,u) \ (w / (y * (z * u))),v5)) = T(x,T(w / ((y * z) * u),v5)). [para(7687(a,1),35720(a,2,2,1,2)),rewrite([6706(5)])]. 35921 T(x,T((y * K(z,u)) / w,v5)) = T(x,T(y / (w * K(u,z)),v5)). [para(10078(a,2),35720(a,2,2,1,2)),rewrite([9510(2),10078(8)])]. 35940 T(x,T(y / (K(z,u) * w),v5)) = T(x,T((y / w) * K(u,z),v5)). [para(9510(a,1),35720(a,1,2,1)),flip(a)]. 35952 K(x,T(y,z * ((u / w) / v5))) = K(x,T(y,z * (u / (v5 * w)))). [para(35720(a,1),26853(a,1,2,1)),rewrite([26853(6),27578(6),27578(11)]),flip(a)]. 35979 K(x,T(y * T(z,u),z)) = K(x,T(z,u) * y). [hyper(5081,a,229,a(flip),b,10720,a),rewrite([410(7)]),flip(a)]. 35985 K(x / y,z * T(y,u)) = K(y \ x,T(y,u) * z). [hyper(295,a,177,a(flip),b,10720,a),flip(a)]. 36027 K(x,T(y,T(z,u * w)) * T(z,u)) = K(x,T(z,u) * y). [para(251(a,1),10720(a,1,2,1)),rewrite([1039(4),1391(5),59(5),11427(5),2045(4),186(5),2717(5),35979(4),27543(6)]),flip(a)]. 36052 K(x,T((y * a(z,u,w)) * v5,y)) = K(x,v5 * (y * a(z,u,w))). [para(15082(a,1),10720(a,1,2,1,1)),rewrite([27586(7),15082(9)])]. 36101 K(x,T(y,z * (y * u))) = K(x,T(y,u * z)). [para(147(a,1),34508(a,1,2,1,2)),rewrite([761(4),26991(4)]),flip(a)]. 36102 T(x,T(y / (y / z),u)) = T(x,T(z,u * y)). [para(34508(a,1),149(a,1,2)),rewrite([149(4)]),flip(a)]. 36132 K(x,T(y,z * y)) = K(x,T(y,z)). [para(409(a,1),34508(a,1,2)),rewrite([27949(3),27873(7),340(4),4773(4,R)]),flip(a)]. 36200 K(x,T(y \ z,y)) = K(x,z / y). [para(51(a,1),36132(a,1,2,2)),rewrite([34821(3)]),flip(a)]. 36202 T(x,T(y,y * z)) = T(x,T(y,z)). [para(36132(a,1),149(a,1,2)),rewrite([149(3),4773(4)]),flip(a)]. 36248 K(x,T(y * z,u * y)) = K(x,T(z * y,u)). [para(32795(a,1),36132(a,1,2,2)),rewrite([27622(6),26918(5),1518(8),2717(8)])]. 36272 K(x,T(x \ y,z)) * K(x,K(u,x \ y)) = K(x,T(x \ y,z * u)). [hyper(5142,a,11507,a,b,164,a),rewrite([11507(3),74(7),1373(7),9510(7),73(6),75(6),74(6),2598(11),26853(11)])]. 36294 T(x / y,z) * K(y,T(y \ x,z)) = T((y * (x / y)) / y,z). [para(11507(a,1),147(a,2,2)),rewrite([223(4)]),flip(a)]. 36299 T(x,T(y / z,z * u)) = T(x,T(z \ y,u)). [para(11507(a,1),186(a,1,2,2)),rewrite([36294(6),27739(5),859(7)])]. 36300 T(x,T(y \ z,u * y)) = T(x,T(z / y,u)). [para(11507(a,2),186(a,1,2,2)),rewrite([11507(5),147(6,R),223(4),51(2),27543(7)]),flip(a)]. 36328 K(x * y,T(z,u * x)) = K(y * x,T(z,u)). [para(7336(a,1),11507(a,1,2,1)),rewrite([60(4),5537(5),1039(4),1343(3),26655(10),168(8),60(9),5537(10),26853(9),26924(9),1039(9),1343(8),26985(8)]),flip(a)]. 36357 T(x,T(y \ z,z)) = T(x,z / y). [para(34821(a,1),149(a,1,2)),rewrite([149(3)]),flip(a)]. 36358 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(34821(a,1),152(a,1,1,2)),rewrite([1928(3),152(4),34821(6)]),flip(a)]. 36388 K(x,a(y,z,u) / w) = K(x,w \ a(y,z,u)). [para(561(a,1),34821(a,1,2)),flip(a)]. 36422 K(x,T(y \ (z \ 1),z)) = K(x,(z \ 1) / y). [para(23218(a,2),34821(a,1,2)),rewrite([23218(6),27834(7),49(5)])]. 36490 T(x * K(y,x),K(z,u) * y) = T(x,K(u,z)). [para(1671(a,1),235(a,1,1,2)),rewrite([11774(4),9760(5)])]. 36491 T(x,K(y,z) * T(u,w)) = T(x,T(K(y,z) * u,w)). [para(1671(a,1),253(a,1,2,1,2)),rewrite([1039(3),1671(3),11774(5),9760(6),253(7),9760(8)]),flip(a)]. 36522 K(x,T(y,z)) * T(x * K(y,x),u) = T(x,T(K(z,y) * u,y)). [back_rewrite(11472),rewrite([36491(10)])]. 36527 T(x,T(y,z) * K(u,w)) = T(x,T(K(u,w) * y,z)). [back_rewrite(8559),rewrite([36491(8)])]. 36545 T(x,T(y,T(z,u) * w)) = T(x,T(y,w * z)). [para(2717(a,1),186(a,1,2,2)),rewrite([3738(5),2948(5),27773(4),27543(7)]),flip(a)]. 36551 K(x,T(y,z / u)) = K(x,T(y,u * z)). [para(246(a,1),2717(a,1,2,2)),rewrite([27834(3)]),flip(a)]. 36595 K(x,y * x) = K(x,x * y). [hyper(295,a,7197,a(flip),b,959,a)]. 36599 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [para(959(a,1),9113(a,1,1))]. 36619 T(x,T(T(y,z),z) \ u) = T(x,y \ u). [back_rewrite(19939),rewrite([36599(4)])]. 36637 K(x,T(R(y,z,u) \ w,y)) = K(x,w / R(y,z,u)). [para(16894(a,1),11014(a,1,2,2)),rewrite([19637(7),2717(5),34821(4),6492(7)]),flip(a)]. 36692 K(x * ((y * y) \ z),T(u,z)) = K(((y * y) \ z) * x,u). [para(325(a,1),14494(a,1,2,2)),rewrite([27536(6),2739(11)])]. 36693 K((x \ y) * z,T(u,x * y)) = K(z * (x \ y),u). [para(3836(a,1),14494(a,1,2,2)),rewrite([31566(8),181(4),36551(8)]),flip(a)]. 36702 K(x,T(y,(z \ u) * w)) = K(x,T(y,z * (w * u))). [hyper(295,a,34508,a(flip),b,27834,a),rewrite([34508(9),26924(8)])]. 36703 K(x,T(y,z * (u \ w))) = K(x,T(y,z * (u * w))). [hyper(295,a,26853,a(flip),b,27834,a),rewrite([26853(8)])]. 36711 T(x,T(y,z \ u)) = T(x,T(y,z * u)). [para(27834(a,1),149(a,1,2)),rewrite([149(4)]),flip(a)]. 36764 K(x,T(y,(z / u) * w)) = K(x,T(y,u * (w * z))). [back_rewrite(27873),rewrite([36702(8)])]. 36776 K(x / ((y * z) \ u),T(w,z * (y * u))) = K(((y * z) \ u) \ x,w). [back_rewrite(27924),rewrite([36703(7)])]. 36788 K(x,T(y,z * ((u * w) * v5))) = K(x,T(y,z * (w * (u \ v5)))). [back_rewrite(27605),rewrite([36703(5),36703(10)])]. 36807 T(x,T(y * (1 / z),z)) = T(x,(1 / z) * y). [back_rewrite(23294),rewrite([36711(7),49(5)])]. 36830 T(x,(y \ z) \ z) = T(x,T(y,z)). [back_rewrite(12368),rewrite([36711(4),36545(4),4773(2),36202(3)]),flip(a)]. 37089 K(x,T(T(y,z) * L(z,u,w),v5)) = K(x,T(L(z,u,w) * y,v5)). [hyper(295,a,11749,a(flip),b,11568,a),rewrite([11749(10)])]. 37467 K(x,(T(y,T(z,u)) * z) * w) = K(x,(z * y) * w). [para(10878(a,1),261(a,1,2)),rewrite([8583(5),1039(5),8630(8)]),flip(a)]. 37535 L(x * a(y,z,a(u,w,v5)),v6,v7) * v8 = L(x,v6,v7) * (a(y,z,a(u,w,v5)) * v8). [para(17022(a,1),10878(a,1,2,1)),rewrite([60(4),5537(5),11(4),17086(6),48(7),17060(9),6159(11),60(11),11515(10)]),flip(a)]. 37682 T(T(x,y),K(z,x) * u) = T(T(x,u),y). [hyper(7088,a,11081,a,b,7760,a),rewrite([11105(7),12062(6),11081(13),11961(14),7763(13),58(13),2921(9),34397(8)])]. 37687 K(K(x,y) * z,x) * (K(y,T(x,u)) * z) = T(K(y,T(x,u)) * z,x). [hyper(7088,a,11081,a,b,410,a),rewrite([2921(7),9805(7),9831(5),2921(8),11081(11),9084(12)]),flip(a)]. 37762 K(x,T(y,z)) * (u * (x * K(y,T(x,z)))) = T(u * x,K(y,x)). [hyper(5083,a,11786,a(flip),b,11081,a),rewrite([5538(5),5754(7),1039(2),2925(11),168(9),251(10),562(10)])]. 37791 K(x,T(y,z)) * y = y * K(x,T(y,z)). [hyper(5081,a,210,a(flip),b,11081,a),rewrite([1391(3),3856(2),1373(8),75(7),553(7),49(7)]),flip(a)]. 37797 T(x,K(x,y) * z) = T(x,z). [hyper(7088,a,11786,a(flip),b,11081,a(flip)),rewrite([37791(5),2925(6),168(4),36491(6),2948(6),196(5),2921(4),37791(8),2925(9),168(7),5539(11),37791(11),11961(13),1039(7),37762(12),562(8),4079(9)])]. 37810 a(x,y,z) * K(u,T(w,v5)) = T(a(x,y,z) * K(u,w),v5). [hyper(5083,a,15015,a,b,11081,a(flip)),rewrite([5539(4),37791(4),33229(6),547(2),24947(8)])]. 37821 K(x * K(y,z),y) = K(x,y). [para(11081(a,2),55(a,1,1)),rewrite([11081(4),7724(8),13472(9),1039(2),928(3),55(3),4000(5)]),flip(a)]. 37822 K(x,K(x,y) * z) = K(x,z). [para(11081(a,2),55(a,1,2)),rewrite([7724(4),11081(8),11961(9),1039(3),7763(8),9165(7),55(3),4696(5)]),flip(a)]. 37862 K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). [para(11081(a,1),249(a,1,1)),rewrite([11089(5),11086(4),1039(6),7726(7),8570(8)]),flip(a)]. 37868 K(x,T(y,T(z,u)) * w) = K(x,T(y,z) * w). [para(11081(a,1),261(a,1,2)),rewrite([11093(5),9240(4),1039(5),7763(7)]),flip(a)]. 38023 (T(x,y) * z) / T(x,z) = K(x,y) * z. [back_rewrite(8891),rewrite([37797(5)])]. 38033 K(x,T(y,z) * T(z,u)) = K(x,T(z,u) * y). [back_rewrite(36027),rewrite([37868(6)])]. 38035 K(x,T(y * z,u) * ((y * u) / y)) = K(x,u * (T(y,u) * z)). [back_rewrite(33313),rewrite([37868(7)])]. 38072 K(x,K(y,x) * z) = K(x,z). [hyper(295,a,261,a,b,37822,a)]. 38076 K(x,y * K(x,z)) = K(x,y). [hyper(295,a,264,a(flip),b,37822,a)]. 38088 K(x,y * K(z,x)) = K(x,y). [para(197(a,2),37822(a,1,2)),rewrite([5754(3),73(4),37822(3),75(2),3658(3),1671(3),9510(3)]),flip(a)]. 38109 K(x,T(y,x) * z) = K(x,y * z). [para(9138(a,1),37822(a,1,2)),rewrite([9240(4)])]. 38111 K(x,T(y,x) \ z) = K(x,y \ z). [para(9113(a,1),37822(a,1,2))]. 38126 K(K(x,y) * z,x) * u = K(z,x) * u. [para(37822(a,1),30215(a,1,2,1,1)),rewrite([30215(5)]),flip(a)]. 38157 K(x,T(y,z)) * T(u,y) = T(K(x,T(y,z)) * u,y). [back_rewrite(37687),rewrite([38126(7),8564(5)])]. 38175 (x * (K(y,z) * u)) \ (x * u) = K(z,T(y,u)). [hyper(7088,a,13287,a,b,10794,a),rewrite([9510(2),9776(4),9510(4),7725(5),2598(6),27550(6),26853(4),26896(4),9510(4),7725(5),5754(7),5754(10),2598(11),37797(10),7724(11),13186(10),5784(10)]),flip(a)]. 38282 (x * y) / (T(x,z) * y) = K(z,x). [hyper(5142,a,7760,a(flip),b,10794,a),rewrite([4481(6)])]. 38370 K((K(x,y) * z) / u,w) = K(z / (K(y,x) * u),w). [hyper(5083,a,10794,a,b,9005,a(flip)),rewrite([562(7),1671(8),34760(8),56(10),5539(6)]),flip(a)]. 38386 ((x * x) \ K(y,z)) * u = K(y,z) * ((x * x) \ u). [hyper(5081,a,22634,a(flip),b,10794,a),rewrite([22473(4),12024(8),27834(9),51(7),408(6),22634(9)])]. 38421 (x * y) \ ((y * x) * z) = K(y,x) * z. [hyper(5083,a,10878,a(flip),b,10794,a(flip)),rewrite([4135(5)])]. 38428 x * (K(y,z) * (x \ u)) = K(y,T(z,x)) * u. [para(51(a,1),10794(a,1,2)),flip(a)]. 38429 K(x,T(y,z * u)) * u = (u / z) * (K(x,y) * z). [para(53(a,1),10794(a,1,2)),rewrite([36551(3)])]. 38432 K(x,T(y,z)) * K(y,T(x,u)) = K(y,K(x,u * z)). [para(10794(a,1),55(a,1,2)),rewrite([7726(4),12013(8),1039(2),6619(7),2598(4),5678(5),73(9),1039(8),7197(8)])]. 38435 K(x,T(y,z * u)) * (z * w) = z * (K(x,T(y,u)) * w). [para(59(a,1),10794(a,1,1,2)),rewrite([26853(3)])]. 38448 K(x,T(y,z * u)) * (u * w) = u * (K(x,T(y,z)) * w). [para(171(a,2),10794(a,2,2,1)),rewrite([26853(3),171(8)])]. 38453 K(x * y,z) * (x * u) = x * (K(y * x,z) * u). [para(181(a,1),10794(a,1,1))]. 38487 K(x,T(y,z)) * (u * z) = z * (K(x,y) * T(u,z)). [para(410(a,1),10794(a,1,2))]. 38488 K(x,y \ z) * (y * u) = y * (K(x,z / y) * u). [para(412(a,1),10794(a,1,1,2))]. 38494 K(x,T(y,z)) * ((z * u) * w) = (z * (K(x,y) * u)) * w. [para(10794(a,1),7687(a,2,1)),rewrite([8(4),48(7)])]. 38502 K(x,y * z) * (z * u) = z * (K(x,z * y) * u). [para(7197(a,1),10794(a,1,1))]. 38509 K(x,y) * (K(z,u) * (y \ w)) = K(z,u) * (T(y,x) \ w). [para(9113(a,1),10794(a,1,2)),rewrite([1671(3)]),flip(a)]. 38556 K(x,T(y,z)) * ((z * z) \ (u \ w)) = (u * (z * (K(y,x) * z))) \ w. [para(10794(a,1),11968(a,1,1,2)),rewrite([12023(10),1039(8),22473(11),38386(11)]),flip(a)]. 38563 (x * x) * (K(y,z) * (((x * x) \ u) * w)) = K(y,z) * (u * w). [para(325(a,1),10794(a,1,2)),rewrite([2739(3)]),flip(a)]. 38566 (x * y) * (K(z,T(u,y)) * w) = (x * (K(z,u) * y)) * w. [para(10794(a,1),24258(a,1,1)),rewrite([5538(7),2598(9),26853(9),26896(9)]),flip(a)]. 38631 K((x \ y) / z,T(u,x)) = K(y / (x * z),u). [back_rewrite(27017),rewrite([38370(5),9138(3),168(2),410(2)]),flip(a)]. 38636 K(K(x,y) * (x \ z),T(u,x)) = K(z / (x * K(y,x)),u). [back_rewrite(6507),rewrite([38370(9),2045(7)])]. 38651 (x * ((y * y) \ K(z,u))) * w = x * (K(z,u) * ((y * y) \ w)). [back_rewrite(23529),rewrite([38386(9)])]. 38659 K(x,y) * ((z * z) \ x) = (z * z) \ T(x,y). [back_rewrite(22627),rewrite([38386(4)])]. 38661 K(x,y) * (((z * z) \ x) * u) = ((z * z) \ T(x,y)) * u. [back_rewrite(22599),rewrite([38386(5),22473(4)])]. 38673 K(x,K(y,z * (z * u))) = K(x,K(y,u)). [back_rewrite(26901),rewrite([38432(6),74(4)])]. 38686 x * (y * (K(x * y,z) * u)) = T(x * y,z) * L(u,y,x). [back_rewrite(24294),rewrite([38453(5),38453(4)])]. 38754 K(x,y) * ((z * z) \ 1) = (z * z) \ K(x,y). [hyper(5142,a,38386,a,b,38386,a),rewrite([38386(4),24721(5)])]. 38779 K(x,y) * (((z * z) \ T(u,z \ (z \ K(x,y)))) * w) = u * (K(x,y) * ((z * z) \ w)). [hyper(295,a,24258,a,b,38386,a),rewrite([27381(8),320(6),38651(5),12024(11),22473(13)]),flip(a)]. 38783 (K(x,y) / (z * z)) * (K(x,y) * ((z * z) \ u)) = K(x,y) * (((z * z) \ (K(x,y) / (z * z))) * u). [hyper(295,a,3836,a,b,38386,a),rewrite([38386(7),22473(15)])]. 38836 (x * (K(y,z) * ((u * u) \ w))) / (x * w) = (x * ((u * u) \ K(y,z))) / x. [hyper(5142,a,38386,a(flip),b,32795,a),rewrite([12024(6),22473(8),38779(9)])]. 38839 (x * (K(y,z) * ((u * u) \ w))) / w = x * ((u * u) \ K(y,z)). [hyper(5142,a,38386,a(flip),b,24258,a),rewrite([12024(6),22473(8),38779(9),27381(9),320(7)])]. 38848 (K(x,y) * (((z * z) \ (K(x,y) / (z * z))) * u)) / (K(x,y) * ((z * z) \ u)) = K(x,y) / (z * z). [hyper(5142,a,38386,a(flip),b,3836,a),rewrite([22473(7),38386(12)])]. 38863 (x * x) \ T(y,x \ (x \ K(z,u))) = T(y * ((x * x) \ 1),K(z,u)). [hyper(5083,a,410,a(flip),b,38386,a(flip)),rewrite([5754(6),32394(6),12024(11)]),flip(a)]. 38878 (K(x,y) / (z * z)) * u = K(x,y) * ((z * z) \ u). [hyper(5083,a,38386,a(flip),b,3836,a),rewrite([22473(10),32775(12),325(8),38386(8)])]. 38893 K(x,y) * T(z,u * u) = T(K(x,y) * z,u * u). [para(58(a,1),38386(a,2,2)),rewrite([22835(6)]),flip(a)]. 38994 K(x,y) * (((z * z) \ (K(x,y) / (z * z))) * u) = K(x,y) * (K(x,y) * ((z * z) \ ((z * z) \ u))). [back_rewrite(38783),rewrite([38878(8),22473(7),38386(7)]),flip(a)]. 39007 K(x,y) / (z * z) = (z * z) \ K(x,y). [back_rewrite(38848),rewrite([38994(8),38836(13),9510(7),7726(7),31701(6),38754(5)]),flip(a)]. 39016 T(x * x,y * K(z,u)) = T(x * x,y). [hyper(7088,a,7726,a,b,38563,a),rewrite([11551(8),26268(6),7726(14),12013(15),11961(14),5784(13),23536(10),33229(10),5739(10),562(8),11427(8),11551(8)])]. 39017 T(x * x,T(y,z) * u) = T(x * x,y * u). [hyper(7088,a,11081,a(flip),b,38563,a),rewrite([2921(8),38661(6),26268(6),11961(15),1039(9),7763(14),9165(13),26221(9),58(9)])]. 39153 K(x,y \ (y \ z)) * (z * u) = z * (K(x,y \ (y \ z)) * u). [para(9138(a,1),38563(a,1,2)),rewrite([12016(6),325(9),12016(8)]),flip(a)]. 39196 K(x * x,y) * T(x * x,z) = T(x * x,y * z). [back_rewrite(24178),rewrite([39017(10)])]. 39229 T(K(x,T(y,z)) * u,K(x,y) * w) = T(u * K(x,T(y,z)),w). [hyper(7088,a,38448,a,b,13287,a),rewrite([5754(3),1039(2),5754(8),1039(7),2921(9),2598(8),37682(7),26853(6),2921(8),5754(11),1039(10),2921(12),2598(11),37682(10),26853(9),9510(13),1039(12),21758(15),37797(14),9510(16),1039(15),7725(17),38448(18),5742(16),11961(12),1039(9),38435(11),10268(11)])]. 39358 K(x,T(y,z * u)) * u = u * K(x,T(y,z)). [hyper(5083,a,38448,a,b,11786,a(flip)),rewrite([5538(3),2925(7),9682(7),10693(7),50(6)])]. 39396 x * K(y,T(z,u * x)) = K(y,T(z,u)) * x. [hyper(295,a,210,a(flip),b,38448,a),rewrite([2598(4),59(3),26853(4),26895(4),73(9),1039(8),36132(8),1373(8),26976(8)]),flip(a)]. 39401 K(x,T(y,z * u)) * (w * (K(y,T(x,z)) * u)) = T(w * u,K(y,x)). [hyper(7088,a,38448,a(flip),b,410,a),rewrite([2598(6),26853(6),26924(6),36788(6),323(2),49(3),1391(5),2598(8),26853(8),26924(8),36788(8),323(4),49(5),5754(11),1039(6)]),flip(a)]. 39420 K(x \ (y * z),T(u,w * z)) = K((y * z) / x,T(u,w * y)). [hyper(5083,a,38448,a(flip),b,9005,a(flip)),rewrite([6619(8),2598(5),26853(5),5678(6)])]. 39426 K(x,K(y,(z * u) * (z * w))) = K(x,K(y,u * w)). [para(38448(a,1),55(a,1,2)),rewrite([7726(5),12013(10),1039(3),6619(9),2598(6),26853(6),5678(7),38432(7),73(10),1039(9),36248(9),1373(9)])]. 39463 x * (K((y * x) / z,T(u,y)) * w) = K(z \ (y * x),u) * (x * w). [para(242(a,1),38448(a,1,1)),flip(a)]. 39487 K(x,T(y,z * u)) * ((u * w) * v5) = (u * (K(x,T(y,z)) * w)) * v5. [para(38448(a,1),7687(a,2,1)),rewrite([8(5),48(8)])]. 39625 K(x * y,z) * (y * u) = y * (K(y * x,z) * u). [para(959(a,1),38448(a,1,1)),rewrite([2530(7)])]. 39638 (x / y) * (K(z,u) * y) = x * K(z,T(u,y)). [back_rewrite(38429),rewrite([39358(4)]),flip(a)]. 39853 K(x,T(y,z * u)) * z = z * K(x,T(y,u)). [hyper(5083,a,39358,a(flip),b,11081,a(flip)),rewrite([7726(4),50(5),36101(7)]),flip(a)]. 39860 T(K(x,y) * T(z,u),z) = T(z,u) * K(x,y). [para(157(a,2),39358(a,1,1,2,2)),rewrite([2948(4),27543(3),2717(4),24944(4),1671(8)])]. 39887 K(x,y * z) * z = z * K(x,z * y). [para(409(a,1),39358(a,1,1,2)),rewrite([7197(6)])]. 39941 K(x,T(y,z * (u / w))) = K(x,T(y,z * (u * w))). [para(39358(a,1),403(a,1,1,1)),rewrite([7725(5),39638(5),26853(3),2677(5),26853(4),26924(4),5676(10)]),flip(a)]. 39996 K(x * y,z) * y = y * K(y * x,z). [para(959(a,1),39358(a,1,1)),rewrite([2530(6)])]. 40027 K(x,T(y,z)) * T(z,u) = T(z,u) * K(x,y). [back_rewrite(24944),rewrite([39860(8)])]. 40045 K(x,T(y,z * ((u / w) * v5))) = K(x,T(y,z * (u * (v5 * w)))). [back_rewrite(35952),rewrite([39941(5),39941(10)])]. 40056 x \ T(y * x,K(y,z)) = T(y,x * K(x * y,z)). [back_rewrite(11473),rewrite([39996(7)])]. 40120 L(K(x,y * L(z,u,w)) * z,u,w) = L(z * K(x,L(z,u,w) * y),u,w). [hyper(5081,a,26653,a(flip),b,39887,a),rewrite([26458(10)]),flip(a)]. 40145 K(x,T(y * z,u * z)) = K(x,T(z * y,u)). [hyper(7088,a,39887,a(flip),b,7760,a),rewrite([2598(3),74(6),213(8),2598(4),26853(4),74(7),11961(12),73(7),75(7),74(7),33229(12),2598(8),2598(7),1300(7),2749(10)])]. 40210 x * (K(y,x * z) * K(z * x,y)) = T(x,K(y,z)). [para(39887(a,1),147(a,1,1)),rewrite([9510(6),7726(6),73(9),6775(8),75(9),74(9),12190(9),75(8),149(9)])]. 40223 K(x,y * z) * y = y * K(x,z * y). [para(39887(a,2),203(a,2,2,1)),rewrite([11774(6),9477(6),39887(6),2677(7),7197(6)])]. 40230 T(x,K(y * x,z) * u) = T(x,K(y,z) * u). [para(39887(a,1),223(a,2,1,1)),rewrite([9510(7),7726(7),5739(7),11427(4),9510(10),7726(10),40210(10),9760(7)])]. 40241 T(x,K(y,z * x)) = T(x,K(y,z)). [para(39887(a,2),256(a,1,1)),rewrite([39887(3),2677(7),7197(6),9510(6),7726(6),40210(6),73(5),6775(4,R),75(5),3658(6)]),flip(a)]. 40278 K(x,y * z) * (y * u) = y * (K(x,z * y) * u). [para(39887(a,2),7452(a,1,2,1)),rewrite([73(3),75(3),39887(6),7725(7),7754(8),7788(7),40223(7),7725(8)])]. 40430 T(x,T(y * z,y * u)) = T(x,T(z * y,u)). [back_rewrite(27711),rewrite([40223(3),7772(5)]),flip(a)]. 40461 ((x * y) * z) \ ((x * (K(u,T(w,v5)) * y)) * z) = K(u,T(w,v5 * (z * y))). [hyper(7088,a,39487,a,b,39487,a),rewrite([2598(6),26924(6),26853(6),26924(6),36788(6),323(2),49(3),39487(12)]),flip(a)]. 40469 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(7088,a,13996,a,b,39487,a),rewrite([2598(6),14494(6),26853(5),26924(5),36788(5),323(1),49(2),13996(11),40461(11)]),flip(a)]. 40629 K(x,T(y,z * u)) * ((z * w) * v5) = (z * (K(x,T(y,u)) * w)) * v5. [para(186(a,1),39487(a,2,1,2,1,2)),rewrite([7725(3),9241(4),27578(4),2717(9)])]. 40923 K(x \ (y * z),T(u,w * z)) = K((y * z) / x,T(u,y * w)). [hyper(5083,a,38435,a(flip),b,9005,a(flip)),rewrite([6619(8),2598(5),26853(5),5678(6)])]. 41099 T(x,y * y) * K(z,u) = T(x * K(z,u),y * y). [hyper(5081,a,22936,a,b,2729,a),rewrite([7726(5),24330(6),5678(4),27742(7),38893(9),2729(7)])]. 41104 x * (K(y,z) * K(u,T(w,x))) = K(u,w) * (x * K(y,z)). [hyper(5081,a,7724,a(flip),b,2729,a),rewrite([9756(8),38487(9),2598(7)]),flip(a)]. 41109 x \ (y * K(z,u)) = (x \ y) * K(z,u). [hyper(295,a,12023,a,b,2729,a),rewrite([1039(3),27834(3),26881(4),11961(4),1039(2),2729(3)])]. 41117 T(x * K(y,T(z,u)),u) = T(x,u) * K(y,z). [hyper(7088,a,2729,a(flip),b,7724,a),rewrite([39853(4),7726(7),33229(8)])]. 41133 (x * (y * K(z,u))) / y = x * K(z,T(u,y)). [hyper(5142,a,2729,a(flip),b,7724,a),rewrite([7726(3),39853(8)])]. 41140 K(x \ y,z) * x = x * K(y / x,z). [para(177(a,1),2729(a,1,1))]. 41141 K(x * y,z) * x = x * K(y * x,z). [para(181(a,1),2729(a,1,1))]. 41142 T(x,y) * K(z,T(y,u)) = T(x * K(z,T(y,u)),y). [para(182(a,1),2729(a,1,1,2)),rewrite([26853(3),38157(5),39853(4)]),flip(a)]. 41154 K(x,y \ z) * y = y * K(x,z / y). [para(412(a,1),2729(a,1,1,2))]. 41157 x \ (K(y,T(z,x)) * u) = K(y,z) * (x \ u). [para(2729(a,1),11892(a,2,1)),rewrite([5754(3),1039(2),5539(7),12023(7)])]. 41178 (x * y) / T(x * K(z,u),y) = K(u,T(z,x)) * y. [para(2729(a,1),30215(a,1,2,1)),rewrite([1039(7)])]. 41179 K(x,T(y,z)) * (K(z,K(x,y)) * (z \ u)) = K(x,y) * (z \ u). [para(2729(a,1),26378(a,1,1)),rewrite([7725(8),13749(9),12023(7),9085(8),74(4),75(4),74(4),9510(11),1039(10),48(11),2729(10),12023(10)])]. 41205 ((x * x) \ y) * T(x * x,z) = T(y * K(x * x,z),x * x). [back_rewrite(23869),rewrite([41099(10)])]. 41250 T(x / y,y * K(z,u)) = T(y \ x,K(z,u)). [back_rewrite(32745),rewrite([41109(8),5739(9),562(7)])]. 41289 (T(R(x,y,z) \ u,w) \ u) * K(R(x,y,z) \ u,x) = R(x,y,z) * K(w,u / R(x,y,z)). [back_rewrite(19613),rewrite([41109(8),41154(13)])]. 41317 (((x * (y * K(z,u))) / T(x,y)) \ T(y,x)) * K(z,u) = K(y * K(z,u),x). [back_rewrite(14272),rewrite([41109(9)])]. 41367 T(L(x,y,z) \ u,K(x,u)) = L(x,y,z) \ u. [back_rewrite(6281),rewrite([41109(5),19895(5)])]. 41398 T(x * K(L(y,z,u) * x,w),y) = L(y,z,u) \ T(x * L(y,z,u),w). [back_rewrite(24350),rewrite([41141(4)])]. 41404 x * K(x * (y * y),y * y) = T(x,y * y). [back_rewrite(14591),rewrite([41141(5),6775(4,R)])]. 41405 T(x * K(y * x,z),y) = y \ T(x * y,z). [back_rewrite(9463),rewrite([41141(3)])]. 41407 K(x,y) * T(z * K(u,w),y) = T(K(x,y) * (z * K(u,w)),y). [back_rewrite(33805),rewrite([41142(6),7726(5),41104(5)]),flip(a)]. 41435 K(x \ y,x) * (z \ (x * (y / x))) = T(z \ y,K(x,x \ y)). [back_rewrite(32748),rewrite([41250(5)]),flip(a)]. 41438 (x * x) \ (y / ((x * x) \ 1)) = T(y,x * x). [back_rewrite(34355),rewrite([41404(11)])]. 41443 T(x,y) \ (z * (K(u,w) * x)) = T(K(y,x) * (z * K(u,w)),x). [back_rewrite(18951),rewrite([41407(10)])]. 41449 K(x * (y * y),y * y) = K(x,y * y). [back_rewrite(34352),rewrite([41438(6),82(3)]),flip(a)]. 41455 K(x,T(y,z * u)) * ((u * (z * (K(y,x) * K(y,x)))) / z) = u * K(y,T(x,z)). [hyper(7088,a,41133,a,b,14463,a(flip)),rewrite([2598(6),26853(6),1391(7),11005(5),2598(6),26853(6),2598(9),26853(9),39358(10),7725(12),10794(11),5754(13),1039(6)]),flip(a)]. 41515 T(x * K(y,T(z,u)),K(y,z) * w) = T(K(y,T(z,u)) * x,w). [hyper(5083,a,41133,a,b,165,a(flip)),rewrite([9510(5),1039(4),41133(10),58(10),1391(7),11427(6),5754(9),1039(8)])]. 41524 (x * (y * (K(z,u) * K(z,u)))) / y = K(z,T(u,y)) * (K(z,T(u,y)) * x). [hyper(5081,a,14463,a(flip),b,41133,a),rewrite([2598(6),26853(6),7726(7),39396(6),2598(9),26853(9),39358(10),7725(12),10794(11)]),flip(a)]. 41543 (x * y) / (y * K(z,u)) = x * K(u,T(z,y)). [para(53(a,1),41133(a,1,1,2)),rewrite([9510(3),9510(6),9776(8)])]. 41546 (x * T(y,z)) / y = x * K(y,z). [para(149(a,1),41133(a,1,1,2)),rewrite([959(5)])]. 41549 (x * (y / (y / z))) / z = x * K(z \ y,z). [para(160(a,2),41133(a,1,1,2)),rewrite([409(6)])]. 41552 (x * y) / T(y,z) = x * K(z,y). [para(164(a,1),41133(a,1,1,2)),rewrite([4481(5)])]. 41588 x * (a(y,z,a(u,w,v5)) \ 1) = a(y,z,a(u,w,v5)) \ x. [para(41133(a,1),12908(a,1,1)),rewrite([19453(9),41109(8),19395(8),12023(10),1039(2),50(9),10794(8),32036(6),32049(6)])]. 41619 (x * (y * K(z,u))) / T(x,y) = y * K(z,T(u,x)). [para(24258(a,2),41133(a,1,1)),rewrite([5678(3),7726(3),2717(8)])]. 41633 (x / y) * K(z,T(u,y)) = (x * K(z,u)) / y. [para(13287(a,2),41133(a,1,1)),rewrite([10064(6),10522(4)]),flip(a)]. 41653 T(K(x,T(y,z)) * u,K(y,x)) = u * K(x,T(y,z)). [back_rewrite(41455),rewrite([41524(9),39401(10),562(5)])]. 41657 T(x,y) * T(x,y) = x * T(T(x,y),y). [back_rewrite(21919),rewrite([41546(5),7726(4),4278(3),3866(3)]),flip(a)]. 41663 K(x,K(y,z)) * K(u,x) = K(u * K(y,z),x). [back_rewrite(41317),rewrite([41619(5),12023(5),1039(2),82(4),7726(6),9090(6),75(2),74(2)])]. 41696 x * (T(y,z) / x) = T(x * (y / x),z). [back_rewrite(16270),rewrite([41633(4),149(2)])]. 41898 K(x,y) * (z * K(x,K(y,u))) = K(x,T(y,u)) * z. [hyper(7088,a,41546,a(flip),b,9510,a(flip)),rewrite([2598(2),562(5),11853(5),73(6),41109(8),5754(5),7726(8)]),flip(a)]. 41903 (x / T(y,z)) * K(y,z) = x / y. [para(53(a,1),41546(a,1,1)),flip(a)]. 41907 K(x,K(y,z)) * K(x,u) = K(x,K(z,y) * u). [para(152(a,1),41546(a,1,1)),rewrite([11427(3),567(4),1039(5),74(6),1373(6)]),flip(a)]. 41920 (x * (y \ z)) / (z / y) = x * K(y \ z,y). [para(246(a,1),41546(a,1,1,2)),rewrite([34563(7),3588(7),2399(6)])]. 41963 K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u). [back_rewrite(33858),rewrite([41898(6)])]. 42098 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(53(a,1),41920(a,1,1)),flip(a)]. 42109 K(x \ y,z) * K(x \ y,x) = T(x \ y,z) / (y / x). [para(168(a,1),41920(a,1,1)),flip(a)]. 42123 T(x * K(y \ z,y),z / y) = (z / y) \ (x * (y \ z)). [para(41920(a,1),246(a,1,1)),rewrite([27759(8),31412(6)])]. 42256 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(5142,a,52,a(flip),b,42098,a),rewrite([9510(3)]),flip(a)]. 42301 x * (T(y \ z,x) / (z / y)) = ((y \ z) * x) / (z / y). [para(147(a,1),42098(a,1,1)),rewrite([7726(6),42109(5)])]. 42302 x / (y * K(z,y)) = (x / y) * K(y,z). [para(147(a,1),42098(a,2,2)),rewrite([50(2),50(3)]),flip(a)]. 42307 K(K(x \ y,x) * (z / (x \ y)),u) = K(z / (y / x),u). [para(42098(a,1),181(a,1,1)),rewrite([562(5),1671(6)]),flip(a)]. 42308 K((x / y) \ z,T(u,y * x)) = K(z / (x / y),u). [para(42098(a,1),181(a,2,1)),rewrite([36551(9),36702(9),42307(9),27528(6)])]. 42355 K(x,x \ y) * ((z / (x \ y)) \ u) = (z / (y / x)) \ u. [para(42098(a,1),11892(a,2,1)),rewrite([5754(6),26402(11),5538(11)])]. 42394 L(x,y,(z / u) \ w) = L(x,y,(u \ z) \ w). [para(42098(a,1),26403(a,1,3)),rewrite([26402(3),26402(6)])]. 42430 (x * T(y \ z,u)) / (z / y) = x * (T(y \ z,u) / (z / y)). [para(41546(a,1),42098(a,1,1)),rewrite([7726(6),42109(5)]),flip(a)]. 42435 K(K(x,y) * (x \ z),T(u,x)) = K((z / x) * K(x,y),u). [back_rewrite(38636),rewrite([42302(8)])]. 42468 K(x / ((y * z) / y),u) = K((x / z) * K(z,y),u). [back_rewrite(1015),rewrite([42302(7)])]. 42507 L(x,y,z \ (K(u,w) * v5)) = L(x,y,z \ v5). [para(9510(a,1),42394(a,1,3,1)),rewrite([12023(3),12075(4),5754(4),11961(5)]),flip(a)]. 42524 L(x,y,(T(z,u) \ w) \ v5) = L(x,y,(z \ w) \ v5). [para(12020(a,1),42394(a,2,3)),rewrite([42507(5),42394(3)]),flip(a)]. 42661 (x / y) * K(z,y) = x / T(y,z). [para(53(a,1),41552(a,1,1)),flip(a)]. 42674 T(x,y) / T(x,z) = K(x,y) * K(z,x). [para(168(a,1),41552(a,1,1))]. 42681 T(x * K(y,z),T(z,y * x)) = K(y,z) * T(x,z). [para(41552(a,1),246(a,1,1)),rewrite([27543(6),27733(6),9095(8)])]. 42739 (x * (y * z)) / L(T(z,u),y,x) = x * (y * K(u,z)). [para(380(a,1),41552(a,1,1)),rewrite([60(4),5537(8),7726(8)])]. 42788 K(x,K(y,z) * u) * K(u,x) = K(x,K(y,z)). [back_rewrite(16284),rewrite([42674(5),75(7)])]. 42805 T(x / T(y,z),K(y,z)) = K(z,y) * (x / y). [hyper(7088,a,41903,a,b,41903,a),rewrite([41903(9),5754(7)])]. 42853 (x * y) / T(T(y,z),u) = x * (T(T(y,z),u) \ y). [hyper(5142,a,41552,a(flip),b,41903,a),rewrite([1039(4),9510(5),1039(4),7726(5),33792(4)]),flip(a)]. 42863 x / T(T(y,y \ x),z) = T(y,z) \ x. [hyper(5142,a,2244,a(flip),b,41903,a),rewrite([1039(4),27834(4),3545(4),9510(4),1039(3),19907(4)]),flip(a)]. 42869 x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). [hyper(5142,a,147,a(flip),b,41903,a),rewrite([9510(4),7726(4)])]. 42913 K(x,y) * ((z / T(y,x)) \ ((u * u) * (z / y))) = T(u * u,z / T(y,x)). [hyper(7088,a,41903,a(flip),b,325,a),rewrite([39016(8),12024(6),23599(6),12023(12),23536(11)]),flip(a)]. 42992 K(x,y) * ((z / T(y,x)) \ u) = (z / y) \ u. [para(41903(a,1),11892(a,2,1)),rewrite([5754(5),26402(9),28466(9),5538(8)])]. 43037 (x * (y / z)) / (y / T(z,u)) = x * K(z,T(u,y)). [para(41903(a,1),41133(a,1,1,2)),rewrite([36551(9),27578(9),14494(8)])]. 43051 T(x * x,y / T(z,u)) = T(x * x,y / z). [back_rewrite(42913),rewrite([42992(8),58(5)]),flip(a)]. 43061 K(x,y) * (z / T(x,y)) = T(z / x,K(x,y)). [hyper(7088,a,42661,a,b,42661,a),rewrite([562(3),42661(7),5754(7)]),flip(a)]. 43076 T(K(x,T(y,z)) / y,K(y,z)) = K(y,z) * (1 / T(T(y,z),x)). [hyper(7088,a,198,a(flip),b,42661,a),rewrite([562(5),5754(11)])]. 43102 x / T(y,R(y,z,u) \ (x / y)) = (R(y,z,u) \ (x / y)) * R(y,z,u). [hyper(295,a,16894,a,b,42661,a),flip(a)]. 43129 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(73(a,1),42661(a,1,2)),rewrite([75(3),74(3)])]. 43131 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(42661(a,1),80(a,1,2)),rewrite([43037(6),5620(4),73(5),238(4)]),flip(a)]. 43135 T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)). [para(42661(a,1),162(a,2,2))]. 43136 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [para(171(a,1),42661(a,1,2)),rewrite([1518(7)])]. 43148 K(x * (y * K(z,T(u,w))),v5) = K(x * (y * K(z,u)),v5). [para(42661(a,1),212(a,1,1,2)),rewrite([2598(2),9510(3),1039(2),9510(7)])]. 43188 K(x,y) * ((z / x) \ u) = (z / T(x,y)) \ u. [para(42661(a,1),11892(a,2,1)),rewrite([5754(4),26402(7),5538(7)])]. 43201 K(x,y) * ((z * (u / x)) \ w) = (z * (u / T(x,y))) \ w. [para(42661(a,1),12013(a,1,1,2)),flip(a)]. 43241 K(x,T(y,z * u)) * (u / T(z,w)) = (u / z) * (K(x,y) * K(w,z)). [para(42661(a,1),10794(a,1,2)),rewrite([36551(3)])]. 43249 (x / T(y,z)) * K(y,T(z,u)) = x / T(y,K(z,u)). [para(42661(a,1),41552(a,1,1)),rewrite([2598(4),9510(5),1039(4),74(8),75(8),74(8),43129(9)])]. 43438 K(x,y) * (((z * (u / x)) \ w) * v5) = ((z * (u / T(x,y))) \ w) * v5. [para(43201(a,1),7687(a,2,1)),rewrite([8(5),48(8)])]. 43490 K(x,T(y,z * ((u \ w) * T(v5,v6)))) = K(x,T(y,v5 * (w * (u \ z)))). [para(43201(a,1),26896(a,1,2,2,2)),rewrite([12453(7),36703(8),40045(8),9756(8),12024(10),27834(11),36703(11),36764(11),36788(11)])]. 43496 K(x,T(y,z)) * ((u * z) \ w) = (u * (K(y,x) * z)) \ w. [para(706(a,1),43201(a,1,2,1,2)),rewrite([1039(2),18222(9)])]. 43538 (x * (y * (K(z,u) * y))) \ w = (y * (K(z,u) * y)) \ (x \ w). [back_rewrite(38556),rewrite([43496(6)]),flip(a)]. 43542 (x \ y) \ (x \ (K(z,u) * y)) = K(z,T(u,y)). [hyper(7088,a,41963,a,b,41963,a),rewrite([2598(4),27834(4),26853(4),26896(4),41963(7)]),flip(a)]. 43597 (x \ (K(y,z) * u)) / (x \ u) = K(y,T(z,x)). [hyper(5142,a,41963,a,b,41963,a),rewrite([41963(4)])]. 43610 T(K(x,y) * z,u) / T(z,u) = K(x,T(y,u)). [hyper(5142,a,11664,a(flip),b,41963,a),rewrite([5539(5),58(5),5539(7)])]. 43632 ((x * (K(y,z) * x)) \ K(z,y)) * x = K(z,y) * (1 / (K(y,z) * x)). [hyper(5083,a,22924,a(flip),b,41963,a),rewrite([7724(5),11492(6),26895(5),3856(2),5754(6),7724(11),43538(12),5754(11),22699(12)]),flip(a)]. 43639 (a(x,y,z) \ u) \ (K(w,v5) * u) = T(a(x,y,z) * K(w,v5),u). [hyper(5083,a,6743,a(flip),b,41963,a),rewrite([15121(4),11492(5),27834(4),27585(4),5754(4),1039(2),24947(4),15121(8),11961(9)]),flip(a)]. 43651 K(x,T(y,z)) * (T(z,u) \ w) = T(z,u) \ (K(x,y) * w). [hyper(5081,a,19907,a,b,41963,a),rewrite([9756(7),33669(6),2717(7)]),flip(a)]. 43658 K(x,T(y,z)) * T(u,z) = T(K(x,y) * u,z). [hyper(5081,a,11664,a(flip),b,41963,a),rewrite([5539(5),5539(7),58(7)]),flip(a)]. 43659 K(x,T(y,z)) * K(u,T(w,z)) = T(K(x,y) * K(u,w),z). [hyper(5081,a,10268,a(flip),b,41963,a),rewrite([58(9),2598(8)]),flip(a)]. 43663 (x \ y) * K(z,T(u,y)) = x \ (K(z,u) * y). [hyper(295,a,410,a,b,41963,a),rewrite([2598(5),27834(5),26853(5),26896(5)])]. 43676 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [para(41963(a,1),55(a,1,2)),rewrite([12023(8),1039(2),43542(7),38432(5),73(7),1039(6),36200(6),1928(6)]),flip(a)]. 43679 K(x,T(y,z * u)) * (z \ w) = z \ (K(x,T(y,u)) * w). [para(59(a,1),41963(a,1,1,2)),rewrite([26853(3)])]. 43680 x \ (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x \ w). [para(73(a,1),41963(a,1,1)),rewrite([1373(3),73(6)]),flip(a)]. 43683 K(x,T(y,z)) * K(z,u) = T(K(x,y) * K(z,u),z). [para(82(a,1),41963(a,1,2)),rewrite([11783(8)])]. 43685 K(x,K(y,z)) * (u \ y) = u \ T(y,K(x,z)). [para(152(a,1),41963(a,2,2)),rewrite([2598(2),1373(3)])]. 43686 K(x,K(y,z)) * (u \ z) = u \ T(z,K(x,y)). [para(155(a,1),41963(a,2,2)),rewrite([2598(2),1373(3)])]. 43688 T(x,y \ (K(z,u) * w)) = T(x,K(u,z) * (y \ w)). [para(41963(a,1),162(a,1,2)),rewrite([2925(9)])]. 43692 K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). [para(41963(a,1),181(a,1,1)),rewrite([27834(6),26994(6),38370(5),242(5),11961(3),2687(9)])]. 43696 K(x,T(y,z)) * ((z \ u) * K(y,x)) = z \ T(u,K(x,y)). [para(197(a,2),41963(a,2,2)),rewrite([9510(4),41109(5),5754(9),73(10),37822(9),1136(9)])]. 43711 K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). [para(41963(a,1),264(a,1,2)),rewrite([2679(9)])]. 43723 K(x,T(y,z)) * ((z \ u) * w) = (z \ (K(x,y) * u)) * w. [para(41963(a,1),7687(a,2,1)),rewrite([8(4),48(7)])]. 43754 x \ (K(y,z) * a(u,w,v5)) = (x \ a(u,w,v5)) * K(y,z). [para(1143(a,2),41963(a,2,2)),rewrite([41963(5),41109(8)])]. 43796 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [para(486(a,2),41963(a,1,1)),rewrite([486(5),5827(5),31607(9)]),flip(a)]. 43814 T(x,T((y / (z \ u)) * K(w,T(v5,z)),v6)) = T(x,T(y / (z \ (K(v5,w) * u)),v6)). [para(41963(a,1),35720(a,2,2,1,2)),rewrite([9510(5),1039(4)])]. 43819 x \ (K(x,y) * z) = K(x,y) * (x \ z). [para(959(a,1),41963(a,1,1)),flip(a)]. 43834 T(a(x,y,z) * K(u,w),a(x,y,z) \ v5) = T(a(x,y,z) * K(u,w),v5). [back_rewrite(19427),rewrite([43639(11)])]. 43836 T(x,K(y,z)) \ (K(y,z) * u) = K(y,z) * (x \ u). [back_rewrite(41179),rewrite([74(4),75(4),11210(6),43651(6)])]. 43865 (x * a(y,z,u)) \ (K(w,a(y,z,u) * x) * v5) = T(x * a(y,z,u),w) \ v5. [back_rewrite(33798),rewrite([43663(8)])]. 43870 L(x,y,z) \ (K(u,x) * w) = L(T(x,u),y,z) \ w. [back_rewrite(33709),rewrite([43663(5)])]. 43887 K(x,K(y,y * z)) = K(x,K(y,z)). [back_rewrite(43131),rewrite([43676(3),36595(2)])]. 43907 K(x,T(x \ y,z)) * K(x,K(y,u)) = K(x,T(x \ y,z * u)). [back_rewrite(36272),rewrite([43676(6),4463(6)])]. 43978 K(x,K(y,z / u)) = K(x,K(y,z * u)). [back_rewrite(1928),rewrite([43676(6)])]. 44029 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [back_rewrite(11978),rewrite([43819(4)])]. 44044 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [back_rewrite(33699),rewrite([43686(4)])]. 44061 x / T(y * K(z,u),y \ x) = y \ (K(u,z) * x). [back_rewrite(12738),rewrite([43688(6),30365(6)])]. 44132 (x \ (K(y,z) * u)) * K(z,y) = x \ T(u,K(y,z)). [back_rewrite(43696),rewrite([43723(6)])]. 44172 T(x,K(y,z)) \ K(y,z) = K(y,z) * (x \ 1). [back_rewrite(35692),rewrite([44029(5)])]. 44256 x / T(a(y,z,u) * K(w,v5),x) = K(v5,w) * (a(y,z,u) \ x). [hyper(5081,a,6706,a,b,44061,a),rewrite([6706(4),15121(4),43834(10)]),flip(a)]. 44289 x / T(y,K(z,u) * (y \ x)) = T(y,K(z,u)) \ x. [para(53(a,1),44061(a,1,2,1)),rewrite([9510(2),12023(3),9510(7),12023(10),12748(10)])]. 44324 T(x \ (K(y,z) * u),K(z,y) * x) = T(x * K(z,y),x \ u) \ u. [para(44061(a,1),246(a,1,1)),rewrite([59(8),36711(9),27543(9),27740(9),10334(6)])]. 44349 T(T(x * K(y,z),x \ u),K(y,z) * (x \ u)) = T((x \ u) \ (K(y,z) * u),x \ u). [para(44061(a,1),3334(a,1,2)),rewrite([43688(8),411(18),12247(14),12023(11),11961(12)])]. 44356 a(x,(y \ (K(z,u) * w)) \ v5,v6) = a(x,(y \ w) \ v5,v6). [para(44061(a,1),14805(a,1,2,1)),rewrite([33999(12),12023(8),11961(9),14808(10)])]. 44410 a(x,(y \ K(z,u)) \ w,v5) = a(x,(y \ 1) \ w,v5). [para(49(a,1),44356(a,1,2,1,2))]. 44462 T(x,K(y,z \ u)) = T(x,K(y,u * z)). [para(43676(a,1),149(a,1,2)),rewrite([149(4)]),flip(a)]. 44470 K(x,K(y,z * (T(z,u) * w))) = K(x,K(y,K(z,u) * w)). [para(241(a,1),43676(a,2,2,2)),rewrite([12016(4),82(2),43676(4)]),flip(a)]. 44473 K(x,K(y,(z \ u) * w)) = K(x,K(y,u * (z * w))). [para(260(a,1),43676(a,2,2)),rewrite([12013(5),73(2),75(2),74(2),34939(6),205(6),43676(4)])]. 44500 K(x,K(y,z * (u * a(w,v5,v6)))) = K(x,K(y,z * u)). [para(15015(a,2),43676(a,2,2,2)),rewrite([12016(4),43676(5),20337(5),74(3),75(3),43676(3),15015(7)]),flip(a)]. 44530 K(x,K(y,(z * z) * (u * (z * w)))) = K(x,K(y,u * ((1 / z) * w))). [para(26378(a,1),43676(a,1,2,2)),rewrite([12016(5),43676(6),44473(6),5(10)]),flip(a)]. 44551 K(x,K(y,K(z,u) * (w / z))) = K(x,K(y,w * T(z,u))). [para(42661(a,1),43676(a,2,2,2)),rewrite([5754(3),43978(9)])]. 44594 K(x \ y,x) * (z \ (x * (y / x))) = T(z \ y,K(x,x * y)). [back_rewrite(41435),rewrite([44462(10),36595(9)])]. 44620 T(x,K(y,z / u)) = T(x,K(y,z * u)). [back_rewrite(36358),rewrite([44462(6)])]. 44655 T(x \ y,(y / x) * K(z,z \ ((x \ y) * (y / x)))) = T(x \ y,K(z,z * ((x \ y) * (y / x)))). [back_rewrite(31430),rewrite([44462(16),36595(15)])]. 44667 T(((x * x) \ y) * a(z,u,w),K(y,v5)) = ((x * x) \ y) * a(z,u,w). [back_rewrite(22905),rewrite([44462(8),10756(7),1391(7),562(6)])]. 44669 (x * ((R(y,z,u) \ w) * R(y,z,u))) / T(x * w,K(y,w * R(y,z,u))) = K(R(y,z,u) \ w,y). [back_rewrite(21220),rewrite([44462(10)])]. 44678 T((x \ y) \ y,K(z,y * x)) = T(x,T(x \ y,z)). [back_rewrite(19964),rewrite([44462(5)])]. 44697 x * T(y,K(z,x * z)) = T(x * y,K(z,x * z)). [back_rewrite(17281),rewrite([44462(3),44462(8)])]. 44698 x \ T(x * y,K(z,x * z)) = T(y,K(z,x * z)). [back_rewrite(17249),rewrite([44462(4),44462(8)])]. 44706 T(T(a(x,y,z) \ u,w) * a(x,y,z),K(v5,u * a(x,y,z))) = a(x,y,z) * T(a(x,y,z) \ u,w). [back_rewrite(15316),rewrite([44462(9)])]. 44711 T(x,K(y,y * (x * z))) * z = T(x * z,K(y,z)). [back_rewrite(14059),rewrite([44462(4),36595(3),562(8)])]. 44731 (x * (y / x)) * (z * K(x \ y,x)) = T(y * z,K(x,x * y)). [back_rewrite(9635),rewrite([44462(10),36595(9)])]. 44754 T(x * (y / z),K(z,y * z)) = (y / z) * T(x,z \ y). [back_rewrite(4137),rewrite([44462(5)])]. 44798 T(x,K(y,(z * u) * z)) = T(x,K(y,u)). [para(50(a,1),44462(a,1,2,2)),flip(a)]. 44799 T(x,K(y,((z * u) * w) * (z * (u * w)))) = x. [para(54(a,1),44462(a,1,2,2)),rewrite([70(2),408(2)]),flip(a)]. 44812 T(x,K(y,(z \ u) * w)) = T(x,K(y,u * (z * w))). [para(260(a,1),44462(a,2,2)),rewrite([12013(5),73(2),75(2),74(2),34939(6),205(6),44462(4)])]. 44864 T(x,K(y,z * (u * u))) = T(x,K(y,z)). [para(22634(a,2),44462(a,1,2,2)),rewrite([22634(4),12016(3),44462(4),10756(3),1391(3)]),flip(a)]. 44867 T(x,K(y,((z * u) * w) * (z * (u * v5)))) = T(x,K(y,w * L(v5,u,z))). [para(25021(a,2),44462(a,1,2,2)),rewrite([25021(5),12016(6),12016(6),25156(6),44462(4)]),flip(a)]. 44879 T(x,K(y,z * (u * (z / u)))) = x. [para(3776(a,1),44462(a,1,2,2)),rewrite([75(3),43676(3),36595(2),43887(3),548(3),44812(5)]),flip(a)]. 44925 T(x,K(y,z * L(z,u,w))) = x. [back_rewrite(44799),rewrite([44867(7)])]. 44940 T(x,T(y,(z \ u) * w)) = T(x,T(y,u * (z * w))). [hyper(5083,a,44812,a(flip),b,251,a),rewrite([942(6)]),flip(a)]. 45103 K(x,K(y,(z * u) * (u * w))) = K(x,K(y,T(z,u) * w)). [para(58(a,1),44473(a,1,2,2,1)),flip(a)]. 45172 K(x,K(y,T(z * (u * (z \ 1)),w) * (z * v5))) = K(x,K(y,(T(u,w) * (z \ 1)) * v5)). [para(2467(a,1),44473(a,1,2,2,1)),flip(a)]. 45180 K(x,K(y,L(z,u,u) * ((1 / u) * w))) = K(x,K(y,(u * z) * w)). [para(22931(a,1),44473(a,1,2,2,1)),flip(a)]. 45181 K(x,K(y,(z * z) * u)) = K(x,K(y,u)). [para(22634(a,1),44473(a,1,2,2)),rewrite([12016(3),43676(4),10756(3),1373(3),48(6)]),flip(a)]. 45228 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,z * (u * w))). [back_rewrite(44530),rewrite([45181(6)]),flip(a)]. 45232 K(x,K(y,L(z,u,u) * (u * w))) = K(x,K(y,(u * z) * w)). [back_rewrite(45180),rewrite([45228(7)])]. 45297 K(x,K(y,z)) * (y \ u) = T(y,K(x,z)) \ u. [para(74(a,1),44029(a,1,1))]. 45298 K(x,y) * K(x,K(z,u)) = K(x,K(u,z) * y). [para(82(a,1),44029(a,1,2)),rewrite([41907(4),8923(7),73(6),75(6),74(6)]),flip(a)]. 45305 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [para(44029(a,1),205(a,1,2))]. 45306 T(x,T(y,K(z,u)) \ w) = T(x,y \ w). [para(44029(a,1),213(a,1,2))]. 45350 K(x,K(y,z)) * (u * (x \ w)) = u * (T(x,K(y,z)) \ w). [para(44029(a,1),11786(a,1,2,2,2)),rewrite([45306(7),410(6),5539(9),44029(9)])]. 45388 T(x,T(y / (T(z,K(u,w)) \ v5),v6)) = T(x,T(y / (z \ v5),v6)). [para(44029(a,1),35720(a,2,2,1,2)),rewrite([9510(5),73(4),75(4),74(4),13086(7)]),flip(a)]. 45390 (T(x,K(y,z)) \ u) / (u / x) = K((x \ u) * K(y,z),x). [para(44029(a,1),41920(a,1,1)),rewrite([41663(10)])]. 45406 K(x,K(y,z) * T(x \ z,u)) = K(x,T(x \ z,u * y)). [back_rewrite(43907),rewrite([45298(6)])]. 45453 K(x,T(T(y * z,u) * L(a(w,v5,v6),z,y),u)) = K(x,y * (a(w,v5,v6) * z)). [hyper(5081,a,235,a,b,15086,a),rewrite([74(9),44500(9),45298(8),38453(6),38453(5),38686(6),2598(7)])]. 45485 T(x,K(y,z * (a(u,w,v5) * v6))) = T(x,K(y,z * v6)). [para(15086(a,1),152(a,1,1,2)),rewrite([44500(5),152(4)]),flip(a)]. 45612 K(x,T(y * z,z * u)) = K(x,T(z * y,u)). [hyper(7088,a,5000,a,b,40278,a),rewrite([5754(6),2598(9),27562(9),38428(6),181(4),37797(5),5754(7),9510(12),41109(13),7726(18),9665(17),6619(19),2598(11),2717(11),37797(9),27834(7),26536(13),26562(12),5678(9)]),flip(a)]. 45623 T(x,K(y,z * x) * u) = T(x,K(z,y) * u). [hyper(7088,a,40278,a,b,7732,a(flip)),rewrite([12343(7),8415(7),12343(11),7732(14),12341(15),7732(16),40278(17),15227(18),9542(17),562(10),40241(10),16926(14),11964(11),58(10),9760(9),13351(10),14617(13),6592(10)])]. 45674 T(x,y * K(y * x,z)) = T(x,T(y,z)). [hyper(7088,a,39887,a(flip),b,40278,a(flip)),rewrite([45623(5),39996(3),7726(13),11961(14),9533(13),562(9),44798(9),44044(8),58(6),11427(7),168(6)])]. 45701 T(x,K(y,x * z)) * u = T(x,K(y,z)) * u. [hyper(5083,a,40278,a(flip),b,9213,a),rewrite([2598(3),7197(3),5754(7),9542(7),562(3),40241(3)]),flip(a)]. 45702 K(x,K(y,z * u)) * (z * w) = z * (K(x,K(y,u * z)) * w). [hyper(5083,a,40278,a(flip),b,7760,a),rewrite([2598(3),5754(8),1039(3),38453(8),9085(7),75(3),74(8)]),flip(a)]. 45742 K(x,y * z) * (T(z,y) * u) = T(z,y) * (K(x,z * y) * u). [para(203(a,1),40278(a,1,1,2)),rewrite([10703(4),7197(3),410(8)])]. 45865 (x * y) * (K(z,L(u,x,y) * (x * y)) * w) = K(z,y * (T(x,y) * u)) * ((x * y) * w). [para(24258(a,1),40278(a,1,1,2)),flip(a)]. 45948 x \ T(y * x,K(y,z)) = T(y,T(x,z)). [back_rewrite(40056),rewrite([45674(8)])]. 46038 K(x,y) * ((T(y,x) * z) * u) = (y * z) * u. [hyper(5306,a,8630,a),rewrite([5754(5)])]. 46228 K((x * y) * (z * K(x,u)),w) = K((T(x,u) * y) * z,w). [para(8630(a,1),181(a,2,1)),rewrite([7726(4),1671(7)])]. 46274 (T(x,y) * z) * T(u,x * z) = K(x,y) * (u * (x * z)). [para(410(a,1),8630(a,1,2)),flip(a)]. 46299 a((T(x,y) * z) * u,w,v5) = a((x * z) * u,w,v5). [para(8630(a,1),12077(a,1,1))]. 46302 a(x * ((T(y,z) * u) * w),v5,v6) = a(x * ((y * u) * w),v5,v6). [para(8630(a,1),12546(a,1,1,2))]. 46305 a(x,(T(y,z) * u) * w,v5) = a(x,(y * u) * w,v5). [para(8630(a,1),12465(a,1,2))]. 46306 a(x,y,(T(z,u) * w) * v5) = a(x,y,(z * w) * v5). [para(8630(a,1),13929(a,1,3))]. 46313 a(x,y * (T(z,u) * w),v5) = a(x,(z * w) * y,v5). [para(8630(a,2),14794(a,1,2)),rewrite([8630(4),46305(4)]),flip(a)]. 46365 L(x,y,T(z,u) * w) = L(x,y,z * w). [para(8630(a,1),24267(a,1,1)),rewrite([8630(8),56(8),5539(9)])]. 46432 x * (y * T(y \ (T(x,z) \ (u * y)),w)) = (x * T(T(x,z) \ u,w)) * y. [back_rewrite(8496),rewrite([46038(8)]),flip(a)]. 46451 K((T(x,y) * y) * z,u) = K((y * x) * z,u). [back_rewrite(10855),rewrite([46228(5)])]. 46456 a((x * y) * x,z,u) = a(L(y,x,x),z,u). [back_rewrite(26398),rewrite([46299(4)])]. 46510 a(((x / y) * z) * u,w,v5) = a(((y \ x) * z) * u,w,v5). [para(246(a,1),46299(a,1,1,1,1)),flip(a)]. 46513 a(((T(x,y) * T(T(x,y) \ z,u)) * w) * v5,v6,v7) = a(((x * T(T(x,y) \ z,u)) * w) * v5,v6,v7). [para(265(a,1),46299(a,1,1,1)),rewrite([46432(15)])]. 46514 a(((T(x,y) * T(x \ z,u)) * w) * v5,v6,v7) = a(((x * T(x \ z,u)) * w) * v5,v6,v7). [para(265(a,1),46299(a,2,1,1)),rewrite([8974(7)])]. 46526 a((x * y) * y,z,u) = a(L(x,y,y),z,u). [para(14227(a,1),46299(a,1,1)),rewrite([46456(4),12547(3),12539(7)]),flip(a)]. 46527 a(((x * y) * x) * z,u,w) = a(z * ((y * x) * x),u,w). [para(14227(a,1),46299(a,2,1,1)),rewrite([18162(6),13786(5)]),flip(a)]. 46528 a((x * a(y,z,u)) * w,v5,v6) = a(a(y,z,u) * (x * w),v5,v6). [para(1143(a,1),46299(a,2,1,1)),rewrite([547(2),20253(4)]),flip(a)]. 46610 a(x \ 1,y,z) = a(x,y,z). [para(486(a,1),46456(a,1,1,1)),rewrite([168(6),12463(4),26414(8),28083(6),23219(5)])]. 46613 a(x \ K(y,z),u,w) = a(x,u,w). [back_rewrite(31953),rewrite([46610(6)])]. 46629 a((x * y) \ (z * z),u,w) = a(x * y,u,w). [para(26221(a,1),46610(a,1,1)),rewrite([49(4),22755(8)])]. 46630 a(L(x \ y,x,y),z,u) = a((y \ 1) * x,z,u). [para(26452(a,2),46610(a,1,1)),rewrite([26414(4),12534(7)])]. 46633 a((x \ 1) * y,z,u) = a(x * y,z,u). [para(26378(a,2),46610(a,1,1)),rewrite([49(4),46629(4),12534(6)]),flip(a)]. 46635 a(L(x \ y,x,y),z,u) = a(y * x,z,u). [back_rewrite(46630),rewrite([46633(7)])]. 46639 a(x * (y \ 1),z,u) = a(y * x,z,u). [hyper(5081,a,12546,a(flip),b,46633,a),rewrite([31945(7),31956(6)]),flip(a)]. 46640 a((x \ a(y,z,a(u,w,v5))) * v6,v7,v8) = a(x * v6,v7,v8). [hyper(295,a,13787,a,b,46633,a),rewrite([13033(6)])]. 46655 a((x \ (y * y)) * z,u,w) = a(x * z,u,w). [para(22473(a,2),46633(a,2,1)),rewrite([23536(4),49(3),22473(7),22755(8)])]. 46665 a(((x \ 1) * y) * z,u,w) = a((x * y) * z,u,w). [para(26378(a,2),46633(a,1,1,1)),rewrite([49(4),46655(5),46510(8)]),flip(a)]. 46666 a(x * (y \ K(z,u)),w,v5) = a(y * x,w,v5). [back_rewrite(32241),rewrite([46639(8)])]. 46667 a((x \ K(y,z)) * u,w,v5) = a(x * u,w,v5). [back_rewrite(31956),rewrite([46639(8)])]. 46670 a(((T(x,y) * z) * u) * w,v5,v6) = a(w * ((x * z) * u),v5,v6). [hyper(295,a,12550,a,b,46302,a)]. 46679 a(x * ((R(T(y,z),u,w) * v5) * v6),v7,v8) = a(x * ((R(y,u,w) * v5) * v6),v7,v8). [para(61(a,1),46302(a,1,1,2,1,1))]. 46687 a(x * (R(y,z,y) * u),w,v5) = a(x * (y * u),w,v5). [para(192(a,1),46302(a,1,1,2,1)),rewrite([7725(8),13792(10)])]. 46694 a(x * (((y / z) * u) * w),v5,v6) = a(x * (((z \ y) * u) * w),v5,v6). [para(246(a,1),46302(a,1,1,2,1,1)),flip(a)]. 46695 a(x * ((y * T(z,u)) * w),v5,v6) = a(x * ((y * z) * w),v5,v6). [para(251(a,1),46302(a,1,1,2,1)),rewrite([1039(4),1391(5),13786(7),27543(8),251(9),13786(12)])]. 46702 a(((x * y) * z) * u,w,v5) = a(u * ((y * x) * z),w,v5). [para(9670(a,1),46302(a,1,1,2)),rewrite([1039(5),1391(6),562(5),12539(7),46695(5),12676(11)]),flip(a)]. 46705 a(x * ((y * (K(z,u) * w)) * v5),v6,v7) = a(x * ((y * w) * v5),v6,v7). [para(10078(a,1),46302(a,1,1,2,1,1)),rewrite([7725(3),7724(9),7724(10),12546(12)])]. 46713 a(x * (((y * z) * z) * u),w,v5) = a(x * (((z * y) * z) * u),w,v5). [para(14227(a,1),46302(a,2,1,2,1)),rewrite([46695(7),46302(6)])]. 46722 a(x * ((L(T(y,z),u,w) \ v5) * v6),v7,v8) = a(x * ((L(y,u,w) \ v5) * v6),v7,v8). [para(19895(a,1),46302(a,2,1,2,1)),rewrite([7725(7),13792(9),13786(7),13786(13)])]. 46732 a(x * (L(T(y,z),u,w) * v5),v6,v7) = a(x * (L(y,u,w) * v5),v6,v7). [para(26653(a,1),46302(a,2,1,2,1)),rewrite([60(2),26653(4),27438(5),13792(7),27438(9),13792(11)])]. 46734 a(x * (((y \ K(z,u)) * w) * v5),v6,v7) = a(x * (((y \ 1) * w) * v5),v6,v7). [para(31945(a,1),46302(a,2,1,2,1)),rewrite([46705(9),46302(7)]),flip(a)]. 46736 a(x * ((y / (z / u)) * w),v5,v6) = a(x * ((y / (u \ z)) * w),v5,v6). [para(42098(a,1),46302(a,2,1,2,1)),rewrite([7725(7),13792(9),13786(6)]),flip(a)]. 46741 a(((x * T(x \ y,z)) * u) * w,v5,v6) = a(w * (y * u),v5,v6). [back_rewrite(46514),rewrite([46670(7),46695(6),51(2)]),flip(a)]. 46742 a(((x * T(T(x,y) \ z,u)) * w) * v5,v6,v7) = a(v5 * (z * w),v6,v7). [back_rewrite(46513),rewrite([46741(8)]),flip(a)]. 46775 a(((x * T(y,z)) * u) * w,v5,v6) = a(w * ((y * x) * u),v5,v6). [hyper(5081,a,46302,a(flip),b,46702,a),flip(a)]. 46787 a(x * (y * ((z * z) * u)),w,v5) = a((y * u) * x,w,v5). [para(5(a,1),46702(a,1,1,1)),rewrite([5(4),11958(5),6(6)]),flip(a)]. 46789 a((x * ((y * y) * z)) * u,w,v5) = a((x * z) * u,w,v5). [para(5(a,1),46702(a,2,1,2)),rewrite([6(3),12650(10)])]. 46791 a(x * (y * z),u,w) = a(x * (z * y),u,w). [para(6(a,1),46702(a,1,1)),rewrite([12650(5),7(6),20799(8)])]. 46803 a((R(x,y,x) * z) * u,w,v5) = a(u * (x * z),w,v5). [para(192(a,1),46702(a,1,1,1,1)),rewrite([1730(8),46687(8)])]. 46819 a(x * ((y * z) * u),w,v5) = a(x * (u * (z * y)),w,v5). [para(251(a,1),46702(a,2,1,2)),rewrite([18162(7),562(9),12539(11)])]. 46853 a(((T(x,y) \ z) * u) * w,v5,v6) = a(w * ((x \ z) * u),v5,v6). [para(9113(a,1),46702(a,1,1,1,1)),rewrite([7725(9),13792(11)])]. 46925 a(x * (y * (a(a(z,u,w),v5,v6) * v7)),v8,v9) = a((y * v7) * x,v8,v9). [para(7727(a,1),46702(a,1,1,1)),rewrite([7727(5),20152(6),7730(7)]),flip(a)]. 46935 a(x * (y * (z * a(a(u,w,v5),v6,v7))),v8,v9) = a(x * (z * y),v8,v9). [para(7730(a,1),46702(a,1,1)),rewrite([20196(6),7733(7)]),flip(a)]. 46936 a(((((x * x) \ y) * z) * u) * w,v5,v6) = a(w * ((z * y) * u),v5,v6). [para(325(a,2),46702(a,1,1)),rewrite([22473(5),22473(4),11958(8)])]. 46937 a(x * ((y * ((z * z) \ u)) * w),v5,v6) = a(x * ((y * u) * w),v5,v6). [para(22473(a,2),46702(a,1,1,1,1)),rewrite([22473(3),46936(6)]),flip(a)]. 46940 a(((x * ((y * y) \ z)) * u) * w,v5,v6) = a(w * ((z * x) * u),v5,v6). [para(22936(a,1),46702(a,1,1,1,1)),rewrite([46670(6),5(9),5(10),12650(12)]),flip(a)]. 46951 a(L(x,y * z,u) * ((z * y) * u),w,v5) = a(u * ((y * z) * x),w,v5). [para(24258(a,1),46702(a,1,1)),rewrite([13786(5)]),flip(a)]. 46957 a(x * L((y * y) * z,u,w),v5,v6) = a(L(z,u,w) * x,v5,v6). [para(25954(a,1),46702(a,1,1,1)),rewrite([25953(4),11958(5),25954(6)]),flip(a)]. 46976 a(x * ((y \ 1) * z),u,w) = a((y * z) * x,u,w). [para(31701(a,1),46702(a,1,1,1,1)),rewrite([46665(5),32036(7),562(7),13786(10)]),flip(a)]. 46992 a(x * ((y / z) * u),w,v5) = a(x * ((z \ y) * u),w,v5). [para(42661(a,1),46702(a,1,1,1,1)),rewrite([46510(5),46853(5),7724(8),12546(10)]),flip(a)]. 46999 a((((T(x,y) * z) * u) * w) * v5,v6,v7) = a(v5 * (((x * z) * u) * w),v6,v7). [para(8630(a,1),46702(a,1,1,1,1)),rewrite([7726(10),9566(11),13792(13)])]. 47001 a(x * ((y * (T(z,u) * w)) * v5),v6,v7) = a(x * (((z * w) * y) * v5),v6,v7). [para(8630(a,2),46702(a,1,1,1,1)),rewrite([8630(4),46999(6)]),flip(a)]. 47003 a(x * (((T(y,z) \ u) * y) * w),v5,v6) = a(x * (u * w),v5,v6). [back_rewrite(46742),rewrite([46775(7)])]. 47015 a(x * (((y / z) \ u) * w),v5,v6) = a(x * (((z \ y) \ u) * w),v5,v6). [back_rewrite(46736),rewrite([46992(5),46992(10)])]. 47051 a(x * (y * (z * T(u,w))),v5,v6) = a(x * ((u * z) * y),v5,v6). [hyper(295,a,46302,a(flip),b,46819,a),flip(a)]. 47146 a(((x \ a(y,z,a(u,w,v5))) * v6) * v7,v8,v9) = a((v6 * (x \ a(v10,v11,a(v12,v13,v14)))) * v7,v8,v9). [para(13034(a,1),46819(a,1,1,2,1)),rewrite([7729(7),12667(9),12670(15)])]. 47180 a(x * (L(y,z,u) * (u * z)),w,v5) = a(x * ((y * z) * u),w,v5). [para(11786(a,1),46819(a,2,1,2)),rewrite([46302(6)]),flip(a)]. 47219 a(x * (y * L(z * K(u,w),v5,v6)),v7,v8) = a(x * (L(z,v5,v6) * y),v7,v8). [para(26653(a,1),46819(a,2,1,2,2)),rewrite([26458(3),27440(4),12546(6)]),flip(a)]. 47239 a(x * (y * (z \ 1)),u,w) = a((z * y) * x,u,w). [para(31701(a,1),46819(a,1,1,2,1)),rewrite([46976(5),32036(7),562(7),13887(10)]),flip(a)]. 47241 a(x * (y * (z * (u \ K(w,v5)))),v6,v7) = a(x * (((u \ 1) * z) * y),v6,v7). [para(31945(a,2),46819(a,1,1,2,1)),rewrite([31945(5),46734(6)]),flip(a)]. 47243 a(x * (y * (z \ K(u,w))),v5,v6) = a((z * y) * x,v5,v6). [para(31850(a,1),46819(a,2,1,2,2)),rewrite([7724(5),12546(7),46976(5)]),flip(a)]. 47263 a(x * ((y * z) * ((y * T(z,u)) \ w)),v5,v6) = a(x * w,v5,v6). [para(51(a,1),46695(a,1,1,2)),flip(a)]. 47264 a(x * ((y * L(T(z,u),w,v5)) * v6),v7,v8) = a(x * ((y * L(z,w,v5)) * v6),v7,v8). [para(60(a,1),46695(a,1,1,2,1,2))]. 47269 a(x * ((y \ z) * y),u,w) = a(x * z,u,w). [para(165(a,2),46695(a,1,1,2)),rewrite([165(7),255(7),47051(9),46695(8),47003(7),13887(12),47263(11)])]. 47273 a(x * ((y * (z / u)) * w),v5,v6) = a(x * ((y * (u \ z)) * w),v5,v6). [para(246(a,1),46695(a,1,1,2,1,2)),flip(a)]. 47304 a(x * (L(1 / (1 / y),z,u) * w),v5,v6) = a(x * (L(y,z,u) * w),v5,v6). [para(88(a,1),46992(a,1,1,2,1)),rewrite([340(13)])]. 47318 a(x * (y \ a(z,u,a(w,v5,v6))),v7,v8) = a(y * x,v7,v8). [para(13034(a,1),46992(a,2,1,2)),rewrite([12541(8),12592(5),12667(13),46640(10)])]. 47335 a(x * (y * (z / u)),w,v5) = a(x * (y * (u \ z)),w,v5). [para(7733(a,2),46992(a,1,1,2)),rewrite([7733(5),46935(7),46935(11)])]. 47449 K(x,y) * (z * (T(x,y) \ u)) = (x \ u) * T(z,T(x,y) \ u). [hyper(5083,a,410,a(flip),b,11267,a),rewrite([5754(5)])]. 47507 K(x,y) * ((L(y,z,u) \ w) * v5) = (L(T(y,x),z,u) \ w) * v5. [para(60(a,1),11267(a,2,1,1)),rewrite([5537(2)])]. 47565 (T(x,y) \ z) * T(u,x \ z) = K(y,x) * (u * (x \ z)). [para(410(a,1),11267(a,1,2)),flip(a)]. 47572 K(x,y) * (((y \ z) * u) * w) = ((T(y,x) \ z) * u) * w. [para(11267(a,1),7687(a,2,1)),rewrite([8(4),48(7)])]. 47574 T(x,y) * ((T(x,y) \ z) * u) = x * ((x \ z) * u). [para(11267(a,1),7760(a,1,2))]. 47592 a(x,(T(y,z) \ u) * w,v5) = a(x,(y \ u) * w,v5). [para(11267(a,1),12465(a,1,2))]. 47593 a(x,y,(T(z,u) \ w) * v5) = a(x,y,(z \ w) * v5). [para(11267(a,1),13929(a,1,3))]. 47597 a(x,y * (T(z,u) \ w),v5) = a(x,(z \ w) * y,v5). [para(11267(a,2),14794(a,1,2)),rewrite([11267(4),47592(4)]),flip(a)]. 47617 (T(T(x,y),z) \ u) * K(x,y) = T(T(x,T(z,y)) \ u,K(x,y)). [para(11215(a,1),11267(a,1,2)),rewrite([9602(6),11218(4)]),flip(a)]. 47630 L(x,(T(y,z) \ u) * w,v5) = L(x,(y \ u) * w,v5). [para(11267(a,1),24266(a,1,1,2)),rewrite([5538(10),7725(10),47572(9),56(10),5538(8),26403(9)])]. 47808 (T(x,y) \ z) * K(u,T(w,x * z)) = K(u,w) * (T(x,y) \ z). [hyper(5081,a,10794,a,b,47565,a),rewrite([1671(3),9113(4),2598(9),27834(9)]),flip(a)]. 48011 K(a(x,y,a(z,u,w)) \ v5,v6) = K(v5,v6). [hyper(7088,a,12908,a(flip),b,43188,a),rewrite([12908(6),2598(5),27834(5),8415(4),959(2),12908(6),13351(8),82(9)]),flip(a)]. 48073 (x / T(y,z)) \ (u * (x / y)) = K(y,z) * T(u,x / y). [para(58(a,1),43188(a,1,2)),flip(a)]. 48096 K(x \ y,z) * ((u / (y / x)) \ w) = (u / T(y / x,T(z,x))) \ w. [para(177(a,1),43188(a,1,1))]. 48180 K(x,T(y,z * (u * T(w,v5)))) = K(x,T(y,w * (u * z))). [para(43188(a,1),26896(a,1,2,2,2)),rewrite([36703(7),40045(7),9756(7),27834(9),36764(9)])]. 48199 T((x * x) \ 1,y) \ z = T(x * x,y) * z. [para(23191(a,1),43188(a,1,2,1)),rewrite([23536(6),324(6),7763(5),34230(7)]),flip(a)]. 48255 K(x,T(y,z * ((u \ w) * v5))) = K(x,T(y,z * (w * (u \ v5)))). [back_rewrite(43490),rewrite([48180(6)])]. 48281 T(x,K(y,z) * (u / T(z,y))) = T(x,u / z). [hyper(5142,a,48073,a,b,845,a(flip)),rewrite([48073(7),9760(5),43135(5),9510(7),7726(7),5739(7),59(5),9760(5)])]. 48352 (T(x,y) \ z) \ (u * (x \ z)) = K(x,T(y,z)) * T(u,x \ z). [para(2244(a,1),48073(a,1,2,2)),rewrite([42863(4),1039(8),27834(8),3545(8),2244(10)])]. 48500 K(x / (y \ K(z,u)),T(w,y)) = K((y \ K(z,u)) \ x,w). [para(31968(a,2),177(a,2,1)),rewrite([27834(7),9776(7),31968(10)])]. 48501 K(((x \ 1) \ y) * K(z,u),w) = K((x \ K(u,z)) \ y,w). [para(31968(a,1),181(a,1,1)),rewrite([27834(8),36702(8),49(5),34659(6),48500(5)]),flip(a)]. 48533 K(x,y) * (((z \ 1) \ u) * w) = ((z \ K(y,x)) \ u) * w. [para(31968(a,1),7687(a,2,1)),rewrite([8(5),48(8)])]. 48544 K(x,y) * T(z,z \ 1) = (z \ K(y,x)) \ 1. [para(411(a,2),31968(a,1,2))]. 48546 ((x \ 1) \ y) \ (K(z,u) * w) = ((x \ K(z,u)) \ y) \ w. [para(31968(a,1),11892(a,2,1)),rewrite([5754(5),5539(11)])]. 48631 (((x \ 1) \ y) * z) \ (((x \ K(u,w)) \ y) * z) = K(w,T(u,x * (z * y))). [hyper(7088,a,48533,a,b,48533,a),rewrite([2598(6),36702(6),36702(6),49(3),48533(14)]),flip(a)]. 48663 K(x,y) * (((z \ K(x,y)) \ u) * w) = ((z \ 1) \ u) * w. [hyper(5306,a,48533,a),rewrite([5754(6)])]. 48739 (x \ K(y,T(z,x * (u * w)))) \ w = ((x \ 1) \ w) * K(z,T(y,u)). [hyper(5142,a,38435,a(flip),b,48533,a(flip)),rewrite([10300(8),1039(12),36702(12),36702(12),49(9)]),flip(a)]. 48771 K(x,K(y,z * ((u \ 1) * w))) = K(x,K(y,u * (w * z))). [para(48533(a,1),55(a,1,2)),rewrite([7726(6),12013(11),48631(10),5620(6),74(4),73(10),44473(10)]),flip(a)]. 49037 L(x,y,z) * (T(x,L(x,y,z) * (x \ u)) \ u) = T(L(x,y,z) * (x \ u),x). [hyper(295,a,168,a(flip),b,18792,a),flip(a)]. 49057 K(x,y) * (L(T(y,x),z,u) * w) = L(y,z,u) * w. [para(50(a,1),18792(a,2,2)),rewrite([8951(5),18820(5)])]. 49064 K(x,y) * (z * L(T(y,x),u,w)) = T(z * L(y,u,w),K(x,y)). [para(58(a,1),18792(a,2,2)),rewrite([11783(5),11573(6),7725(5),26458(4),168(3),6425(9),562(9)])]. 49089 L(x \ y,z,u) * (T(x \ y,x) \ w) = L(y / x,z,u) * ((x \ y) \ w). [para(238(a,1),18792(a,1,1)),rewrite([18848(7),18792(8),412(10)])]. 49318 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,x) * w. [hyper(5083,a,49057,a,b,7760,a),rewrite([60(2),49057(7),5537(7)])]. 49326 L(x * (y * y),z,u) * w = L(x,z,u) * ((y * y) * w). [hyper(5081,a,6,a,b,49057,a),rewrite([25958(3),49057(11)])]. 49420 T(x,y) * (L(x,z,u) * w) = x * (L(T(x,y),z,u) * w). [para(49057(a,1),7760(a,1,2))]. 49433 (L(T(x,y),z,u) * w) \ (K(x,y) * v5) = (L(x,z,u) * w) \ v5. [para(49057(a,1),11892(a,2,1)),rewrite([5754(5),5539(11)])]. 49458 (x * L(y * (z * z),u,w)) * v5 = (x * L(y,u,w)) * ((z * z) * v5). [para(49057(a,2),315(a,1,1,2)),rewrite([25958(5),26458(6),8487(5)])]. 49459 L(x * (y * y),z,u) \ w = (y * y) \ (L(x,z,u) \ w). [para(49057(a,1),11968(a,1,1)),rewrite([25958(3),26458(9),467(8)])]. 49460 (x * L(y * (z * z),u,w)) \ v5 = (z * z) \ ((x * L(y,u,w)) \ v5). [para(49057(a,2),11968(a,1,1,2)),rewrite([25958(5),26458(6),8487(5)])]. 49481 (x \ K(y,z)) * (L(T(z,y),u,w) * v5) = (x \ 1) * (L(z,u,w) * v5). [para(49057(a,1),31945(a,1,2)),flip(a)]. 49485 (T(x,y) \ z) \ (L(x,u,w) * v5) = (x \ z) \ (L(T(x,y),u,w) * v5). [para(49057(a,1),33918(a,1,2))]. 49506 K(x,L(T(y,x),z,u) * w) = K(x,L(y,z,u) * w). [para(49057(a,1),37822(a,1,2)),flip(a)]. 49557 (T(x,y) \ z) \ L(x,u,w) = (x \ z) \ L(T(x,y),u,w). [para(49(a,1),49485(a,1,2)),rewrite([49(9)])]. 49599 ((T(x,y) \ z) * u) \ (L(x,w,v5) * v6) = ((x \ z) * u) \ (L(T(x,y),w,v5) * v6). [para(49485(a,1),11892(a,1,1,2)),rewrite([28466(9),11892(8)]),flip(a)]. 49625 K(x,T(T(x,y) \ z,y)) = K(x,T(x \ z,y)). [back_rewrite(18824),rewrite([49599(9),55(9),6159(4),1039(3)]),flip(a)]. 49641 K(x,T(x \ 1,y)) = K(x,x \ 1). [back_rewrite(1087),rewrite([49625(5)])]. 49712 L(x,y,z) * ((u * u) \ K(w,v5)) = L(x * ((u * u) \ K(w,v5)),y,z). [hyper(5083,a,38386,a(flip),b,13542,a),rewrite([6385(4),25944(8),26458(9),5754(10),26458(10),39153(9),38659(8),38863(7),410(8),7726(6),31850(5)]),flip(a)]. 49734 K(x \ (x \ y),z) * (L(z,u,w) * ((x * x) \ y)) = ((x * x) \ y) * L(z,u,w). [hyper(5081,a,22473,a,b,13542,a),rewrite([22473(4),6385(7)]),flip(a)]. 49760 (L(x,y,z) \ u) * L(x,y,z) = u * K(L(x,y,z) \ u,x). [para(51(a,1),13542(a,1,2)),rewrite([9005(4),34548(3)]),flip(a)]. 49765 K(L(x,y,z) * u,T(w,x)) = K(u * L(x,y,z),w). [para(13542(a,1),181(a,1,1)),rewrite([27600(6),36328(5),7726(8),149(7),11573(7)])]. 49768 L(K(x,x \ L(y,z,u)) * y,z,u) = x * (L(y,z,u) / x). [para(197(a,1),13542(a,1,2)),rewrite([73(4),75(4),43676(4),4463(4),6159(2),948(1),319(2),48(5),26458(8)]),flip(a)]. 49777 K(L(T(x,y),z,u) * y,w) = K(y * L(x,z,u),w). [para(13542(a,1),249(a,1,1)),rewrite([7726(7),6692(7)]),flip(a)]. 49796 K(x,y) * (L(y,z,u) * T(x,K(w,y))) = T(x,K(w,y)) * L(y,z,u). [para(13542(a,1),9138(a,1,2)),rewrite([7754(5),17899(10)]),flip(a)]. 49981 K(x,y) * (R(T(x,y),z,u) \ w) = R(x,z,u) \ w. [para(61(a,1),8936(a,1,2,1)),rewrite([6332(2)])]. 50010 T(x,y) * (y \ z) = x * (T(y,x) \ z). [para(8936(a,1),7760(a,1,2))]. 50015 T(x * K(y,z),T(y,z) \ u) = K(y,T(z,u)) * T(x,y \ u). [para(8936(a,1),11664(a,1,2,2)),rewrite([5538(4),48352(5)]),flip(a)]. 50045 K(x,T(x,y) \ z) = K(x,x \ z). [para(8936(a,1),37822(a,1,2)),flip(a)]. 50111 T(x,T(y,x) \ z) = T(x,y \ z). [hyper(7088,a,50010,a,b,7732,a(flip)),rewrite([12132(6),8415(6),12132(9),10452(14),16926(15),11963(12),19453(11),34160(12),30899(10),14617(11),6592(9)])]. 50256 x \ (((y * y) \ x) * z) = T(y * y,x) \ z. [hyper(5083,a,22936,a,b,50010,a(flip)),rewrite([51(6)])]. 50263 x * (T(y * y,z) * (z \ u)) = x * (z \ ((y * y) * u)). [para(50010(a,2),6(a,2,2)),rewrite([6(6),23779(5)]),flip(a)]. 50367 (x / y) * (T(y,y \ x) \ z) = (y \ x) * (y \ z). [para(412(a,1),50010(a,1,1)),rewrite([3334(6)]),flip(a)]. 50368 T(x,x \ y) * ((y / x) \ z) = x * ((x \ y) \ z). [para(412(a,1),50010(a,2,2,1)),rewrite([3334(2)])]. 50418 (x \ y) * (T(x,x \ y) \ z) = T(x \ y,x) * (x \ z). [para(3334(a,2),50010(a,2,2,1)),rewrite([3334(7)]),flip(a)]. 50481 T(x,y * y) * (1 / y) = ((y * y) \ x) * y. [para(22924(a,1),50010(a,1,2)),rewrite([32685(9)])]. 50484 ((x * x) \ y) * (z \ ((x * x) * u)) = T(y,x * x) * (T(z,x * x) \ u). [para(50010(a,2),22936(a,1,2)),rewrite([50263(7)])]. 50632 (1 / x) \ (((x * x) \ y) * x) = T(y,(x * x) * (x \ 1)). [hyper(7088,a,50481,a,b,50481,a),rewrite([23218(5),22819(5),50481(12)]),flip(a)]. 50638 T(x,(y * y) * (a(z,u,a(w,v5,v6)) \ (y \ 1))) = T(x,(y * y) * (y \ 1)). [hyper(7088,a,7735,a,b,50481,a),rewrite([7732(7),9414(8),9352(5),23220(7),23301(8),22819(8),23220(13),7732(20),12009(21),12007(21),19395(22),19456(22),7735(25),19456(24),323(23),49(20),31036(20),19225(20),50632(14)])]. 50671 (a(x,y,z) * ((a(x,y,z) * a(x,y,z)) \ u)) / (a(x,y,z) \ 1) = T(u,a(x,y,z) * a(x,y,z)). [hyper(5142,a,1143,a,b,50481,a),rewrite([6706(9)])]. 50699 T(x,a(y,z,u) * a(y,z,u)) * (a(y,z,u) \ 1) = ((a(y,z,u) * a(y,z,u)) \ x) * a(y,z,u). [hyper(5081,a,15082,a,b,50481,a),rewrite([6385(11),562(12),44462(12),6592(10),562(8),44667(8),6706(13)]),flip(a)]. 50704 ((a(x,y,z) * a(x,y,z)) \ u) * a(x,y,z) = a(x,y,z) * ((a(x,y,z) * a(x,y,z)) \ u). [hyper(5081,a,1143,a,b,50481,a),rewrite([6706(13),50699(14)]),flip(a)]. 50727 ((x * T(y,z * z)) * (1 / z)) / (((z * z) \ y) * z) = R(x,T(y,z * z),1 / z). [para(50481(a,1),57(a,1,2))]. 50762 a(x,y,z \ 1) * (x * (((z * z) \ y) * z)) = (x * T(y,z * z)) * (1 / z). [para(50481(a,1),7687(a,1,2,2)),rewrite([14988(5),13927(5)])]. 50787 a(x,y * (z \ 1),u) = a(x,y * z,u). [para(50481(a,1),13932(a,1,2)),rewrite([14846(4),14887(6)]),flip(a)]. 50788 a(x,(y \ 1) * z,u) = a(x,z * y,u). [para(50481(a,1),14794(a,1,2)),rewrite([14846(4),14782(8),14777(6)]),flip(a)]. 50802 ((((x * x) \ y) * x) * z) / (T(y,x * x) * ((1 / x) * z)) = a(y,x \ 1,z). [para(50481(a,1),7337(a,1,1,1)),rewrite([14827(16),12463(16)])]. 50811 T(x,y * y) * ((1 / y) * z) = ((y * y) \ x) * (y * z). [para(50481(a,1),380(a,1,1)),rewrite([25262(8),28057(6),28083(6),24259(5)]),flip(a)]. 50847 a(x * ((((y * y) \ z) * y) * u),w,v5) = a(x * ((z * (y \ 1)) * u),w,v5). [para(50481(a,1),46302(a,1,1,2,1)),rewrite([47273(12)])]. 50848 a(x * (((y \ 1) * z) * u),w,v5) = a(x * ((y * z) * u),w,v5). [para(50481(a,1),46702(a,1,1,1,1)),rewrite([46936(6),46695(12),46694(10)]),flip(a)]. 50849 a(x * ((y * (z \ 1)) * u),w,v5) = a(x * ((y * z) * u),w,v5). [para(50481(a,2),46702(a,2,1,2,1)),rewrite([46940(6),50481(9),50847(10)]),flip(a)]. 50850 a(x * (y * (z * ((z * z) \ u))),w,v5) = a(x * ((u * z) * y),w,v5). [para(50481(a,2),46819(a,1,1,2,1)),rewrite([50481(5),50847(6),50849(6)]),flip(a)]. 50861 a(x,y * (z \ K(u,w)),v5) = a(x,y * z,v5). [back_rewrite(32251),rewrite([50788(8)])]. 50864 a(x,y \ 1,z) = a(x,y,z). [back_rewrite(50802),rewrite([50811(10),7337(9),12684(3)]),flip(a)]. 50867 a(x * (y * (z * (u \ K(w,v5)))),v6,v7) = a(x * ((u * z) * y),v6,v7). [back_rewrite(47241),rewrite([50848(12)])]. 50869 a(x * (((y \ K(z,u)) * w) * v5),v6,v7) = a(x * ((y * w) * v5),v6,v7). [back_rewrite(46734),rewrite([50848(12)])]. 50903 a(x,y \ K(z,u),w) = a(x,y,w). [back_rewrite(31959),rewrite([50864(6)])]. 50906 a(x,x,x) = K(x,x \ 1). [back_rewrite(31744),rewrite([50864(3)])]. 50910 a(x,x \ a(a(y,z,u),w,v5),v6) = a(x,x,v6). [back_rewrite(29298),rewrite([50864(7)])]. 50923 a(x,y,z) * (x * ((y \ 1) * z)) = (x * (y \ 1)) * z. [para(50864(a,1),7687(a,1,1))]. 50929 K(x,K(y,z) * (x \ z)) = K(x,T(x \ z,y)). [hyper(7088,a,50045,a,b,164,a),rewrite([2598(3),74(6),43676(6),4463(6),548(6),74(6),43676(6),4463(6),50045(8),5754(8),73(5),75(5),74(5),41907(8)]),flip(a)]. 50939 K(x,T(T(y / (y / x),z) \ u,y)) = K(x,T((y / (y / x)) \ u,y)). [hyper(295,a,11749,a(flip),b,50045,a),rewrite([11749(12)])]. 50947 K(x,K(y,z * T(x,u))) = K(x,K(z,y)). [para(50045(a,1),73(a,1,1)),rewrite([73(3),75(3),43676(3),4463(3),75(6),43676(6)]),flip(a)]. 50952 T(x,T(x,y) \ z) = T(x,x \ z). [para(50045(a,1),149(a,1,2)),rewrite([149(3)]),flip(a)]. 50954 T(x,K(y,y * z)) = T(x,K(y,z)). [para(50045(a,1),152(a,2,2)),rewrite([43676(4),50947(4),75(2),152(3),44462(5),36595(4)]),flip(a)]. 50969 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(246(a,1),50045(a,1,2,1)),flip(a)]. 50970 K(x,y / T(x,z)) = K(x,x \ y). [para(248(a,1),50045(a,2,2)),rewrite([11243(7),33747(6),171(5),34821(4),171(7),34821(6),238(5)])]. 50989 K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). [para(50045(a,1),2598(a,1,1)),rewrite([2598(3)]),flip(a)]. 51000 (T(T(x,y) \ z,x) * u) \ (T(x,y) \ z) = ((x \ z) * u) \ (z / x). [para(50045(a,1),25395(a,1,1,2)),rewrite([28466(6),25395(5),26416(5)]),flip(a)]. 51007 K(x,T((y / (y / x)) \ z,y)) = K(x,T(x \ z,y)). [para(50045(a,1),11749(a,1)),rewrite([50969(6),340(4),11749(4),50939(9)]),flip(a)]. 51024 (x \ y) * K(x \ 1,x) = T(x,x \ 1) \ y. [back_rewrite(33847),rewrite([50952(4)]),flip(a)]. 51041 (x * (y / x)) * (z * K(x \ y,x)) = T(y * z,K(x,y)). [back_rewrite(44731),rewrite([50954(10)])]. 51045 T(x,K(y,z)) * z = T(x * z,K(y,z)). [back_rewrite(44711),rewrite([50954(4),45701(4)])]. 51057 T(x \ y,(y / x) * K(z,z \ ((x \ y) * (y / x)))) = x \ y. [back_rewrite(44655),rewrite([50954(16),44812(15),44879(15)])]. 51061 K(x \ y,x) * (z \ (x * (y / x))) = T(z \ y,K(x,y)). [back_rewrite(44594),rewrite([50954(10)])]. 51161 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(5142,a,8281,a,b,51045,a),rewrite([562(3),8281(6),4123(4),562(6)])]. 51162 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(5142,a,149,a,b,51045,a),rewrite([74(4),75(4),74(4),4463(4),74(3),7726(4),3658(3),9669(3),16726(4),562(5)])]. 51178 T(x,K(y,z)) * (y \ 1) = T(x * (y \ 1),K(y,z)). [hyper(295,a,2467,a,b,51045,a),rewrite([44462(8),48(6),562(6),2467(7),44462(12),48(10),562(10)])]. 51234 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(5083,a,51045,a(flip),b,165,a(flip)),rewrite([53(2),562(2),562(6)])]. 51236 K(x,y) * (L(y,z,u) * T(x,K(y,w))) = T(x * L(y,z,u),K(y,w)). [hyper(5081,a,51045,a(flip),b,13542,a),rewrite([5537(4),562(4),5537(6),562(6),1039(7),928(6),5537(8),562(8)]),flip(a)]. 51265 (x * y) \ K(z,T(y,x)) = (x * T(y,z)) \ 1. [para(51045(a,2),194(a,1,1)),rewrite([51045(3),44172(5),20984(5),2598(8),36132(8)]),flip(a)]. 51283 T(x,K(y,z)) * (z / y) = T(x * (z / y),K(y,z)). [para(238(a,1),51045(a,1,1,2)),rewrite([44462(3),36595(2),50954(3),238(8),44462(9),36595(8),50954(9)])]. 51325 T((x * x) * y,K(y,z)) = (x * x) * y. [para(618(a,1),51045(a,1,1)),rewrite([562(6)]),flip(a)]. 51456 T(x * y,K(y,z)) / y = T(x,K(y,z)). [back_rewrite(4123),rewrite([51161(8)])]. 51469 T(x,K(y,z)) * L(y,u,w) = T(x * L(y,u,w),K(y,z)). [back_rewrite(49796),rewrite([562(4),51236(6),562(6)]),flip(a)]. 51551 T(x,T(y * y,z)) = T(x,y * y). [hyper(7088,a,51325,a,b,410,a(flip)),rewrite([410(7),1039(8),2739(8),45948(8)]),flip(a)]. 51587 T(x * x,T(y,z)) = T(x * x,y). [hyper(5142,a,51325,a,b,203,a),rewrite([23493(11),30965(9),562(12),34896(11),324(8),562(8),9739(8),52(5)])]. 51591 T(L(T(x,y),z,u) * L(x,z,u),K(y,w)) = L(T(x,y),z,u) * L(x,z,u). [hyper(5142,a,51325,a,b,14160,a(flip)),rewrite([14160(7),1039(7),1391(8),51456(8)])]. 51826 (x * y) \ ((z * z) * (x / (z * z))) = (T(x,z * z) * y) \ x. [para(618(a,1),51000(a,1,1,1,1,1)),rewrite([618(8),23004(8),22936(5),26221(10)]),flip(a)]. 51930 (T(a(x,y,z) \ u,w) * a(x,y,z)) \ u = K(w,a(x,y,z) \ u). [hyper(7088,a,6592,a(flip),b,8487,a),rewrite([4813(9),6706(6),2598(9),27562(9),51(6),34821(4),6706(2)]),flip(a)]. 51946 T(x,y * K(z,z \ (x * y))) = T(x,T(y,z)). [hyper(7088,a,8487,a,b,7713,a),rewrite([8487(15),12023(13),51061(13),58(7),11427(9),39996(8),45674(9)])]. 52162 K(x,y) * (R(T(y,x),z,u) * w) = R(y,z,u) * w. [para(61(a,1),8487(a,1,2,1)),rewrite([5679(2)])]. 52208 (T(x,y) * z) \ (K(x,y) * u) = (x * z) \ u. [para(8487(a,1),11892(a,2,1)),rewrite([5754(4),5539(9)])]. 52245 (x * T(T(x,y),y)) \ K(x,y) = 1 / (x * T(x,y)). [para(8487(a,1),23196(a,1,2)),rewrite([41657(7),9510(10),48(10)]),flip(a)]. 52279 T(x \ y,T(y / x,z)) = x \ y. [back_rewrite(51057),rewrite([51946(9)])]. 52369 (x * T(x,y)) \ T(x,y) = 1 / x. [hyper(5081,a,22924,a(flip),b,52208,a),rewrite([1599(4),168(6)]),flip(a)]. 52372 (1 / (x * T(x,y))) * z = (x * T(x,y)) \ z. [hyper(295,a,22634,a,b,52208,a),rewrite([41657(3),31945(8),52245(5)])]. 52382 ((x * T(x,y)) \ z) / (K(x,y) * z) = (x * T(T(x,y),y)) \ 1. [hyper(5142,a,52208,a(flip),b,22634,a),rewrite([41657(9)])]. 52406 (T(x,y) * z) \ T(x,y) = (x * z) \ x. [para(168(a,1),52208(a,1,2))]. 52425 ((T(x,y) * z) \ u) * K(x,y) = (x * z) \ T(u,K(x,y)). [para(203(a,2),52208(a,1,2)),rewrite([2598(4),2729(5),41109(5),9510(10),7726(10),5739(10)])]. 52447 (x * T(y,z)) \ (K(y,z) * u) = T(x * y,K(y,z)) \ u. [para(410(a,1),52208(a,1,1)),rewrite([251(8)])]. 52451 (T(x,y) * z) \ (T(x,y) * u) = (x * z) \ (x * u). [para(7763(a,1),52208(a,1,2))]. 52457 (T(x,y) * z) \ ((x * y) * u) = (x * z) \ ((y * x) * u). [para(7452(a,1),52208(a,1,2))]. 52482 a(x,(T(y,z) * u) \ w,v5) = a(x,(y * u) \ w,v5). [para(52208(a,1),13936(a,2,2)),rewrite([14808(7),13936(5)])]. 52483 a(x,y,(T(z,u) * w) \ v5) = a(x,y,(z * w) \ v5). [para(52208(a,1),13992(a,2,3)),rewrite([14980(7),13992(5)])]. 52506 (x * T(T(x,y),y)) \ (K(x,y) * (z * u)) = ((x * T(x,y)) \ z) * u. [para(52208(a,1),22473(a,2,1)),rewrite([41657(3),7724(6)])]. 52520 L(x,(T(y,z) * u) \ w,v5) = L(x,(y * u) \ w,v5). [para(52208(a,1),26514(a,2,2)),rewrite([28031(7),26514(5)])]. 52591 (T(x,y) * z) \ (x \ u) = (x * z) \ (T(x,y) \ u). [para(8936(a,1),52208(a,1,2))]. 52698 a(x,(y * z) \ ((z * z) * u),w) = a(x,(y * (1 / z)) \ u,w). [para(50481(a,1),52482(a,1,2,1)),rewrite([26221(4)])]. 52784 T(x * K(y,z),T(y,z)) = K(y,z) * T(x,y). [hyper(5083,a,58,a(flip),b,36599,a),rewrite([27543(4),27742(4),5754(3),11783(8),1039(5),409(4)]),flip(a)]. 52793 T(x / T(T(y,z),z),y) = T(T(y,z),z) \ x. [hyper(5081,a,412,a,b,36599,a),rewrite([27543(6),27742(6),36599(8)])]. 52808 K(x,T(y,z)) * (T(T(y,x),z) \ u) = T(T(T(y,z),x),x) \ u. [para(59(a,1),36599(a,1,2,1))]. 52827 T(T(T(x,y),z),z) \ u = T(T(T(x,z),z),y) \ u. [para(182(a,1),36599(a,1,2,1)),rewrite([1039(3),1343(2),52808(6),182(7),1328(8)])]. 52864 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(36599(a,1),9138(a,2,2)),rewrite([8504(4)])]. 52958 T(x,y) * K(y,z) = T(x * K(y,z),y). [back_rewrite(33656),rewrite([52784(4),39860(4)])]. 53026 x \ (y * (T(T(y,z),z) \ u)) = y * (T(T(y,z),z) \ (x \ u)). [back_rewrite(13749),rewrite([52864(4),52864(10)])]. 53033 T(x,y * (T(T(y,z),z) \ u)) = T(x,u). [back_rewrite(5935),rewrite([52864(4)])]. 53045 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [back_rewrite(3210),rewrite([52958(4)])]. 53282 K(x,y) * ((z \ K(y,x)) * u) = T(z \ 1,K(y,x)) * u. [hyper(5083,a,31938,a,b,9543,a),rewrite([31938(8),31945(6),5754(5)])]. 53312 T(T(x,K(y,z)) * u,K(y,z)) = x * T(u,K(y,z)). [hyper(7088,a,9543,a(flip),b,410,a),rewrite([8587(8),2598(6),1391(7),8587(10),2598(8),5754(12),1039(8),38435(12),38487(10),2598(8),5620(9),74(7),1136(8)])]. 53321 K(x,T(y,z)) * (u * (K(y,x) * w)) = K(y,K(x,z)) * (T(u,K(y,x)) * w). [hyper(5083,a,9543,a(flip),b,7760,a),rewrite([2598(2),5754(6),1039(2),74(8),75(8)])]. 53327 K(x,y) * (R(T(z,K(x,y)),u,w) * v5) = R(z,u,w) * (K(x,y) * v5). [para(61(a,1),9543(a,1,2,1))]. 53456 K(x,T(y,z)) * (u * K(y,x)) = T(K(z,K(x,y)) * u,K(x,y)). [hyper(5083,a,5739,a(flip),b,8487,a),rewrite([5754(5),73(2),75(2),74(2),9602(5),2598(7)]),flip(a)]. 53468 T(x \ y,K(z,y * x)) = x \ y. [para(263(a,1),5739(a,1,2)),rewrite([5871(6),44620(5)]),flip(a)]. 53488 T(x * y,K(z,x * z)) = T(x * y,K(x,z)). [para(5739(a,1),7776(a,1,2)),rewrite([44462(3),44697(4),51041(10),562(7)])]. 53507 K(x,y) * (z * L(z \ (K(y,x) * u),w,v5)) = z * L(z \ u,w,v5). [para(5739(a,1),24474(a,1,1)),rewrite([5739(6),28584(7),5754(10),12023(11),12748(11),7725(11),26458(10),12794(9)]),flip(a)]. 53518 T(x,T((y / (z * K(u,w))) * K(u,w),v5)) = T(x,T(y / z,v5)). [para(5739(a,1),35720(a,2,2,1,2)),rewrite([9510(5),562(9),35857(12)])]. 53525 T(T(x,K(y,z)) \ u,K(y,z)) = x \ T(u,K(y,z)). [para(5739(a,1),41963(a,2,2)),rewrite([41109(5),53456(6),74(2),75(2),11210(4)])]. 53543 T(x,K(y,z * y)) = T(x,K(z,y)). [back_rewrite(44698),rewrite([53488(4),51234(4),50(2)]),flip(a)]. 53561 (x / y) * T(z,y \ x) = T(z * (x / y),K(x,y)). [back_rewrite(44754),rewrite([53543(5)]),flip(a)]. 53593 K(x \ (y \ z),T(u,z)) = K(z / (y * x),u). [hyper(7088,a,255,a(flip),b,13226,a),rewrite([6385(3),51(7),2598(4),51(8),8693(12),34834(9),38631(8)])]. 53785 T(x,K(y,z)) * L(T(y,T(z,x)),u,w) = x * L(T(y,z),u,w). [hyper(295,a,24422,a,b,13226,a),rewrite([6159(2),6159(4),5539(4),7725(4),26458(3),168(2),6159(5),6159(8),610(9),60(8)]),flip(a)]. 53789 K(x * x,y) * (z * (x * x)) = z * T(x * x,y). [hyper(295,a,7,a,b,13226,a),rewrite([7(5),51587(8)])]. 53814 L(x,y,z) \ (u * L(T(x,w),y,z)) = T(u * K(x,w),x). [hyper(7088,a,13226,a(flip),b,24422,a),rewrite([6159(2),6159(4),5539(4),6174(4),6159(5),5539(5),6159(6),6159(9),610(10),60(9),53785(10)]),flip(a)]. 53889 T(x,y * T(z,T(u,y))) = T(x,y * T(z,u)). [para(13226(a,1),162(a,1,2)),rewrite([7726(7),149(6)])]. 53895 K(T(x,y) * z,T(u,x)) = K(z * T(x,y),u). [para(13226(a,1),181(a,1,1)),rewrite([26985(6),37862(5),7726(7),149(6)])]. 53922 K(x,K(y,z) * (u * y)) = K(x,u * T(y,z)). [para(13226(a,2),229(a,2,2)),rewrite([59(3),37868(5),3001(4)]),flip(a)]. 53925 K(x,y * T(z,T(u,y))) = K(x,y * T(z,u)). [para(13226(a,1),232(a,2,2)),rewrite([7726(5),260(7),53922(4)]),flip(a)]. 53944 K(x,K(y,z) * (u * z)) = K(x,u * T(z,y)). [para(13226(a,1),261(a,1,2)),rewrite([53925(4)]),flip(a)]. 54071 (x * x) \ (y \ (K(z,x * x) * u)) = T(x * x,z) \ (y \ u). [para(13226(a,1),11968(a,1,1)),rewrite([51587(3),20876(4),11961(9)]),flip(a)]. 54201 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [para(41903(a,1),13226(a,1,2)),rewrite([73(2),2598(11),2717(11),43249(9)])]. 54248 K((x \ y) / z,x) = K(y / (x * z),x). [back_rewrite(34620),rewrite([53593(4)]),flip(a)]. 54262 T(T(x * x,y),z) = T(x * x,y * z). [back_rewrite(21684),rewrite([53789(8),26779(8),39196(5),24092(4)]),flip(a)]. 54308 T(x * x,y) \ (R(y,z,u) \ w) = R(y,z,u) \ ((x * x) \ w). [back_rewrite(20903),rewrite([54071(7)])]. 54346 K(x,y * (z * K(u,z))) = K(x,y * T(z,u)). [hyper(295,a,264,a(flip),b,53944,a),rewrite([7726(3)])]. 54358 T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). [para(53944(a,1),149(a,1,2)),rewrite([149(4)]),flip(a)]. 54365 K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)). [para(171(a,1),53944(a,1,2,1)),rewrite([4696(5),53922(4),1518(6)]),flip(a)]. 54396 K(x,K(y,z * (u * w)) * ((z * u) * w)) = K(x,a(z,u,w) * T(z * (u * w),y)). [para(7687(a,1),53944(a,1,2,2))]. 54523 K(x,y * L(z * K(u,L(z,w,v5) * y),w,v5)) = K(x,K(y,z) * T(L(z,w,v5) * y,u)). [para(13542(a,1),53944(a,1,2,2)),rewrite([38502(6),26458(5),40120(5)])]. 54546 K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). [back_rewrite(4637),rewrite([54346(8)])]. 54567 K(x,T(y,z) * (z * u)) = K(x,y * (T(z,y) * u)). [back_rewrite(38035),rewrite([54546(6),38033(5)])]. 54611 T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). [hyper(5142,a,12748,a,b,31850,a),rewrite([41109(5),53282(6),562(4),11774(6),31850(4),9510(6),11774(6),31701(4)]),flip(a)]. 54612 T(x,K(y,z)) \ K(u,w) = T(x \ K(u,w),K(y,z)). [hyper(5142,a,12748,a,b,31701,a),rewrite([49(4),32036(4),562(4),9510(6),11774(6),31850(4)]),flip(a)]. 54664 K(x,y) * (z \ T(y,x)) = T(z,K(x,y)) \ y. [para(168(a,1),12748(a,1,2,2))]. 54670 T(x,K(y,z)) \ T(u,K(y,z)) = T(x \ u,K(y,z)). [para(203(a,2),12748(a,1,2,2)),rewrite([2598(3),2729(4),41109(4),5739(5),9510(9),7726(9),5739(9),562(7)]),flip(a)]. 54673 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(12748(a,1),229(a,2,2)),rewrite([562(5),11774(7),44132(5),1671(6),562(6),45305(8)])]. 54702 K(x,T(y,z)) * (u \ (K(y,x) * w)) = K(x,K(y,z)) * (T(u,K(x,y)) \ w). [para(12748(a,1),7763(a,1,2)),rewrite([73(2),2598(8)]),flip(a)]. 54710 K(x,K(y,z * u)) * ((T(u,K(x,y)) \ z) * w) = (u \ T(z,K(x,y))) * w. [para(12748(a,1),7452(a,1,2,1)),rewrite([74(5),43692(4),37821(4),75(3),74(3),43676(3),562(5),44132(13)])]. 54714 K(x,y) * (z \ (x * (K(y,x) * u))) = T(z,K(x,y)) \ (x * u). [para(9138(a,1),12748(a,1,2,2))]. 54715 K(x,K(y,z)) * (T(u,K(x,y)) \ w) = K(x,y) * (u \ (K(y,T(x,z)) * w)). [para(9138(a,2),12748(a,1,2,2)),rewrite([74(3),75(3),74(3),12745(6),74(10),75(10),74(10),43680(12)]),flip(a)]. 54716 K(x,y) * (z \ (T(x,y) \ u)) = T(z,K(x,y)) \ (x \ u). [para(9113(a,1),12748(a,1,2,2))]. 54735 T(x,K(y,z)) \ a(u,w,v5) = T(x \ a(u,w,v5),K(y,z)). [para(1143(a,2),12748(a,1,2,2)),rewrite([41109(5),5739(6)]),flip(a)]. 54807 K(x,K(y,z)) * ((T(u,K(x,y)) \ w) * v5) = K(x,y) * ((u \ (K(y,T(x,z)) * w)) * v5). [para(12748(a,1),8630(a,1,2,1)),rewrite([73(2),2598(9),54702(13),54715(13),7724(14)])]. 54814 K(x,y) * (z \ ((u / T(y,x)) \ w)) = T(z,K(x,y)) \ ((u / y) \ w). [para(43188(a,1),12748(a,1,2,2))]. 54817 K(x,y) * (z \ ((u \ K(x,y)) \ w)) = T(z,K(x,y)) \ ((u \ 1) \ w). [para(31968(a,1),12748(a,1,2,2))]. 54900 T(x,y * K(x * y,z)) = T(x,T(y,z)). [back_rewrite(12251),rewrite([54664(6),40241(3),9095(4),73(2),34364(4),152(3),59(3),11427(3),168(2)]),flip(a)]. 54935 K(x,y) * ((z \ u) * (K(y,T(x,z)) * w)) = (z \ T(u,K(x,y))) * w. [back_rewrite(54710),rewrite([54807(8),39853(5),41109(5),7725(6)])]. 54997 T(x * (y / x),T(z,y)) = T(x * (y / x),z). [para(197(a,1),10800(a,1,2,1)),rewrite([73(3),75(3),43676(3),36595(2,R),12190(3),948(1),319(2),48(5),1845(6)]),flip(a)]. 55054 K(x,y) * T(L(y,z,u) * x,w) = T(x * L(y,z,u),T(w,y)). [para(5537(a,1),10800(a,1,1)),rewrite([6174(9)])]. 55076 a(x,y,z * u) = a(x,y,u * z). [para(10800(a,1),13929(a,1,3)),rewrite([13983(4),13983(5)])]. 55267 K(x,y * (z * K(u,z * y))) = K(x,T(y * z,u)). [para(10800(a,1),53944(a,2,2)),rewrite([9138(5),168(4),410(4),38502(4),39887(3),2717(9)])]. 55272 x * (K(y,z) * (y / x)) = T(x * (y / x),z). [back_rewrite(10895),rewrite([54997(8)])]. 55278 K(x,y * L(z * K(u,L(z,w,v5) * y),w,v5)) = K(x,T(y * L(z,w,v5),u)). [back_rewrite(54523),rewrite([55054(12),2717(12)])]. 55369 K(x,y) * T(y,x \ z) = T(y * K(x,y),z / x). [para(412(a,1),5698(a,1,2,2))]. 55418 K(x \ 1,x) * T(x,y) = T(1 / (1 / x),y). [para(486(a,2),5698(a,1,1)),rewrite([486(3),36711(7),49(5),196(5),758(9)])]. 55469 T(x,T(K(y,z) * (y / z),z)) = T(x,y / z). [hyper(7088,a,55369,a,b,178,a),rewrite([36551(5),3545(5),1391(5),562(4),11427(4),11492(4),36551(5),3545(5),55369(8),5754(9),1039(4),36522(9)]),flip(a)]. 55497 T(x,T(K(y,z) * (u / z),z)) = T(x,T(z,y) \ u). [hyper(5083,a,55369,a(flip),b,7760,a),rewrite([2598(2),5754(7),1039(2),36522(7),74(7),75(7),34364(10),152(8),9760(9),9113(8)])]. 55537 K(x \ (y / z),T(u,z)) = K(z \ (x \ y),u). [para(55369(a,2),242(a,1,2)),rewrite([55369(6),36551(7),26991(7),26896(6),6170(4),242(4),6385(3),1053(8)]),flip(a)]. 55693 T(x,T(y,z) \ z) = T(x,z / y). [back_rewrite(55469),rewrite([55497(5)])]. 55743 K(x,y \ (z \ u)) * ((z * y) \ u) = ((z * y) \ u) * K(x,y \ (z \ u)). [hyper(295,a,12013,a,b,2045,a),rewrite([6385(3),12013(6),12016(11)])]. 55800 K(x \ y,x) * K(x,K(y,z)) = K((x \ y) * K(y,z),x). [hyper(5081,a,2045,a(flip),b,41920,a),rewrite([75(5),74(5),43676(5),4463(5),75(8),74(8),43676(8),4463(8),44029(9),45390(10)])]. 55818 T(x,y) * K(z,y) = T(x * K(z,y),y). [para(2045(a,1),11664(a,1,2,2)),rewrite([5538(2),33229(4)])]. 55865 T(x,K(y,z)) \ y = T(x \ y,K(y,z)). [para(2045(a,1),12748(a,1,2,2)),rewrite([41109(4),5739(5)]),flip(a)]. 56073 (x * (T(T(x,y),y) \ z)) \ u = y * (T(T(y,x),x) \ (z \ u)). [para(5754(a,2),11965(a,1,1,1)),rewrite([5754(3),7725(4),52864(4),12023(9),5754(8),52864(9),53026(10)])]. 56209 a(L((x * x) * y,z,u),w,v5) = a(L(y,z,u),w,v5). [para(25953(a,1),54(a,1,1)),rewrite([25953(9),5(10),11965(11),50(10),54(7)]),flip(a)]. 56432 K(x,K(y,L(z,u,w) * v5)) = K(x,K(y,z * v5)). [para(27440(a,2),55(a,1,2)),rewrite([7726(4),27440(8),12013(9),58(8),2598(5),27600(5),5620(5),74(3),73(7)]),flip(a)]. 56497 (x * L(K(y,z) * (u * K(w,v5)),v6,v7)) \ v8 = K(v5,w) * ((x * L(K(y,z) * u,v6,v7)) \ v8). [para(27440(a,1),12013(a,1,1,2)),rewrite([26653(4),26458(5)])]. 56499 (L(x,y,z) * L(K(u,w) * x,y,z)) \ L(x,y,z) = 1 / L(K(u,w) * x,y,z). [para(27440(a,1),22924(a,1,1)),rewrite([11961(11),26458(10),5784(9)])]. 56531 K(x,T(y,z)) * (L(z \ u,w,v5) * v6) = L(z \ (K(x,y) * u),w,v5) * v6. [para(41963(a,1),27440(a,1,1,1)),flip(a)]. 56568 K(x,K(y,(z * u) * w)) = K(x,K(y,u * (z * w))). [back_rewrite(45232),rewrite([56432(5)]),flip(a)]. 56590 K(x,K(y,T(z * (u * (z \ 1)),w) * (z * v5))) = K(x,K(y,z * (T(u,w) * v5))). [back_rewrite(45172),rewrite([56568(16),44473(16),48(14)])]. 56597 K(x,K(y,z * (u * (z * w)))) = K(x,K(y,T(u,z) * w)). [back_rewrite(45103),rewrite([56568(5)])]. 56616 K(x,K(y,z * (u * (u * w)))) = K(x,K(y,z * w)). [back_rewrite(39426),rewrite([56568(5)])]. 56692 T(x,K(y,K(z,u) * (w * L(v5,v6,v7)))) = T(x,K(y,w * L(v5 * K(z,u),v6,v7))). [para(27503(a,2),44462(a,1,2,2)),rewrite([27503(4),43711(5),44812(6),26653(3),7724(10)]),flip(a)]. 56853 (x * x) * (y * L(y \ ((x * x) \ z),u,w)) = y * L(y \ z,u,w). [hyper(5081,a,207,a(flip),b,49326,a),rewrite([11965(5),5(7),16751(12),207(10)])]. 56939 L(x,y,L(z * (u * u),w,v5)) = L(x,y,L(z,w,v5)). [hyper(5142,a,49326,a(flip),b,11786,a(flip)),rewrite([49326(6),25443(10),49326(11),52(12)]),flip(a)]. 56946 (x * x) * (T(y,z * (x * x)) * u) = T(y,z) * ((x * x) * u). [hyper(5083,a,24258,a,b,49326,a(flip)),rewrite([56939(9),49458(8),25954(7),24258(8),6174(4),50(8),6174(9)]),flip(a)]. 56981 L(x,L(y * (z * z),u,w),v5) = L(x,L(y,u,w),v5). [para(49326(a,1),56(a,1,2,2)),rewrite([49460(10),56(9),25944(6),50(4)]),flip(a)]. 56983 L(L(x * (y * y),z,u),w,v5) * v6 = L(L(x,w,v5),z,u) * ((y * y) * v6). [para(64(a,1),49326(a,2,1)),rewrite([25958(3)])]. 56988 L(x,y,z) * T(u * u,w) = L(x * T(u * u,w),y,z). [para(149(a,1),49326(a,2,2)),rewrite([26653(6),7726(5),149(4)]),flip(a)]. 57367 a(x,y,z * ((u * u) * w)) = a(x,y,z * w). [para(56946(a,1),24265(a,1,1,2,2)),rewrite([321(15),315(14),56946(13),54(13),13988(5),321(12),13988(11),13980(8)])]. 57375 (x \ 1) * ((y * y) * z) = (x \ (y * y)) * z. [para(22989(a,2),56946(a,1,2,1)),rewrite([322(5),20865(5),325(7),412(6)]),flip(a)]. 57432 x \ L(K(y,z) * (x * (K(y,z) * x)),u,w) = T(K(y,z) * (x * K(y,z)),x). [hyper(7088,a,322,a,b,9566,a),rewrite([7724(10)]),flip(a)]. 57465 K(x,y) * (a(z,u,w) * K(x,y)) = y * (T(T(y,x),x) \ a(z,u,w)). [hyper(5142,a,322,a,b,15112,a),rewrite([7724(7),6706(10),57432(10),561(7),52864(10)])]. 57500 L(x * T(T(x,y),y),z,u) = x * T(T(x,y),y). [hyper(5081,a,7763,a,b,322,a),rewrite([7763(4),41657(3),41657(6)]),flip(a)]. 57518 L(a(x,y,z) * (u * u),u,u) = u * (u * a(x,y,z)). [para(322(a,2),15015(a,1,2)),rewrite([322(4),25958(4)])]. 57532 L(T(x,y),z,u) * L(x,z,u) = L(x,z,u) * L(T(x,y),z,u). [para(322(a,2),49057(a,1,2)),rewrite([322(7),49064(7),51591(6)])]. 57534 (x * T(T(x,y),y)) \ (K(x,y) * z) = (x * T(x,y)) \ z. [para(322(a,2),52208(a,1,1)),rewrite([41657(3),57500(4)])]. 57550 (x * T(x,y)) \ (z * u) = ((x * T(x,y)) \ z) * u. [back_rewrite(52506),rewrite([57534(7)])]. 57565 L(x \ 1,x,y) \ ((y * x) \ y) = 1. [hyper(7049,a,52208,a,b,12004,a),rewrite([168(7),52406(7)])]. 57657 L(x \ (a(y,z,a(u,w,v5)) \ 1),x,v6) \ ((v6 * x) \ (a(y,z,a(u,w,v5)) \ v6)) = 1. [hyper(7049,a,12004,a(flip),b,21156,a(flip)),rewrite([11963(5),12009(11)])]. 57662 x / L(y \ 1,y,x) = x * y. [hyper(271,a,340,a,b,12004,a(flip))]. 57669 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(12004(a,1),64(a,1,1)),flip(a)]. 57695 L(T(x,y) \ 1,x,y) = (x * y) \ y. [para(410(a,1),12004(a,2,1)),rewrite([26536(5)])]. 57720 (x \ a(y,z,a(u,w,v5))) \ a(y,z,a(u,w,v5)) = (x \ 1) \ 1. [para(12981(a,1),12004(a,2,1)),rewrite([5534(9)]),flip(a)]. 57736 ((x * y) * x) \ (x * y) = L(x \ 1,x,x * y). [para(14227(a,2),12004(a,2,1)),rewrite([14227(7)]),flip(a)]. 57862 ((T(x,y) \ z) * u) \ K(y,x) = ((x \ z) * u) \ 1. [para(11267(a,1),12004(a,2,1)),rewrite([5539(8)]),flip(a)]. 57871 ((x \ K(y,z)) \ u) \ 1 = ((x \ 1) \ u) \ K(y,z). [para(31952(a,1),12004(a,2,1)),rewrite([5539(10)])]. 57887 (x * (K(y,z) * u)) \ K(y,z) = (T(x,K(y,z)) * u) \ 1. [para(9543(a,1),12004(a,2,1)),rewrite([5539(10)]),flip(a)]. 57972 T(x,y) / T(x * y,T(y,x) \ 1) = (y * x) \ x. [hyper(295,a,7336,a,b,57695,a),rewrite([8504(4),49(3),149(2)])]. 57973 (x * y) \ T(x,y) = (y * x) \ x. [hyper(295,a,56,a,b,57695,a),rewrite([8504(5),49(4),149(3)])]. 57984 L(T(x,y \ 1) \ 1,x,y) = (x * (y \ 1)) \ (y \ 1). [hyper(295,a,26414,a(flip),b,57695,a)]. 57990 (x * x) \ (y \ (x * x)) = T(y,x * x) \ 1. [hyper(295,a,320,a(flip),b,57695,a),rewrite([20865(8)]),flip(a)]. 58057 ((x * ((y * z) / x)) \ z) * K(x,x \ (y * z)) = L(T(y,T(z,x)) \ 1,y,z). [para(7713(a,1),57695(a,2,1)),rewrite([51946(5),26403(9),41109(13)]),flip(a)]. 58070 (x * (1 / y)) \ (1 / y) = (x * (y \ 1)) \ (y \ 1). [para(23218(a,1),57695(a,1,1,1)),rewrite([26402(8),26414(8),57984(6)]),flip(a)]. 58075 x * (y * L(y \ (x \ y),z,u)) = y * (x * L(x \ 1,z,u)). [para(57695(a,1),24422(a,1,2,1)),rewrite([24474(5),28584(11)])]. 58112 (x * y) \ (K(z,y) * T(y,T(z,x))) = L(T(x,T(y,z)) \ 1,x,y). [para(13226(a,2),57695(a,2,1)),rewrite([2948(3),25262(7),11961(11)]),flip(a)]. 58165 (x * (K(y,z) * u)) \ T(x * K(y,z),u) = T((u * x) \ x,K(z,y)). [hyper(5081,a,12013,a(flip),b,57973,a),rewrite([41109(5),5739(6),7725(7)]),flip(a)]. 58200 (x * L(y / x,z,u)) \ L(y / x,z,u) = (x * L(x \ y,z,u)) \ L(x \ y,z,u). [para(207(a,1),57973(a,1,1)),rewrite([60(6),412(5)]),flip(a)]. 58266 T((x * y) \ y,K(z,x * y)) = L(T(x,T(y,z)) \ 1,x,y). [para(7713(a,1),57973(a,2,1)),rewrite([7725(5),58165(11),562(6),44462(6),36595(5),50954(6),41109(13),58057(13)])]. 58299 (a(x,y,x) * (z * u)) \ (z * u) = a(x,y,x) \ 1. [para(7750(a,1),57973(a,1,1)),rewrite([561(6),29994(5),323(4)]),flip(a)]. 58307 T((x \ 1) \ K(y,T(z,x)),K(y,z)) = (x \ 1) \ K(y,z). [para(31701(a,1),57973(a,2,1)),rewrite([32036(4),562(4),2598(8),27834(8),9776(8),54612(7)])]. 58338 K(x,T(y,z)) * K(y,K(x,u)) = K(x,T(y,z * u)). [para(39358(a,2),57973(a,1,1)),rewrite([39358(4),1391(6),12023(6),1039(2),82(5),74(4),75(4),11961(9),1039(7),58(9),2598(8),26853(8)])]. 59063 K(x,y) / (z \ 1) = K(x,y) * z. [hyper(5081,a,30215,a,b,57662,a),rewrite([30215(5),5539(7)]),flip(a)]. 59164 x / L(y,y,x) = x * (1 / y). [para(340(a,1),57662(a,1,2,1)),rewrite([28057(3),28083(3)])]. 59166 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(57662(a,1),412(a,1,1)),rewrite([6174(5)]),flip(a)]. 59174 a(L(x \ 1,x,y \ z) \ (z / y),u,w) = a((y \ z) * x,u,w). [para(57662(a,2),12534(a,1,1)),rewrite([26402(5),12554(7)])]. 59540 L(a(x,y,z),a(x,y,z),u) \ u = u * (a(x,y,z) \ 1). [para(6743(a,1),59166(a,1,1,1)),rewrite([28083(5),6743(13),561(10)])]. 59558 T(x * R(y,z,u),x \ (R(y,z,u) \ 1)) = ((R(y,z,u) * x) \ 1) \ K(x,y). [para(5593(a,1),59166(a,2,1)),rewrite([5539(8),12024(13)]),flip(a)]. 59571 T(x \ a(y,z,a(u,w,v5)),x) = ((x \ 1) \ 1) \ a(y,z,a(u,w,v5)). [para(12981(a,1),59166(a,2,1)),rewrite([5534(9),36830(15),408(12)]),flip(a)]. 59582 L(T(a(x,y,a(z,u,w)) * v5,L(v5,v6,v7) \ 1),v6,v7) = (L(v5,v6,v7) \ 1) \ a(x,y,a(z,u,w)). [para(17060(a,1),59166(a,2,1)),rewrite([5534(7),60(14)]),flip(a)]. 59664 (x \ 1) \ K(y,T(z,x)) = T(x * K(y,z),x \ 1). [para(2729(a,1),59166(a,2,1)),rewrite([5539(5)])]. 59689 T(x * L(y,z,u),x \ (L(y,z,u) \ 1)) = ((L(y,z,u) * x) \ 1) \ K(x,y). [para(13542(a,1),59166(a,2,1)),rewrite([5539(8),12024(13)]),flip(a)]. 59711 T(x * K(y,z),x \ K(z,y)) = (x \ 1) \ K(y,z). [back_rewrite(58307),rewrite([59664(5),11427(7),32362(7)])]. 59712 T(x \ K(y,z),x) = ((x \ 1) \ K(z,y)) \ 1. [back_rewrite(31986),rewrite([59711(5)]),flip(a)]. 59713 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [back_rewrite(11693),rewrite([59711(5)]),flip(a)]. 60134 (T(x,y) * z) \ (x * y) = (x * z) \ (y * x). [para(196(a,1),11972(a,1,1,2)),rewrite([25262(4),11972(3),410(7)]),flip(a)]. 60136 (x * (y / x)) \ (z * y) = K(x \ y,x) * T(z,y). [para(197(a,1),11972(a,2,1)),rewrite([5754(4),5538(7)]),flip(a)]. 60142 (T(x,y) * y) \ (z * T(x,y)) = L(y \ T(z,T(x,y)),y,x). [para(210(a,2),11972(a,2,1)),rewrite([25262(5),210(7)]),flip(a)]. 60187 ((x \ a(y,z,a(u,w,v5))) \ v6) * a(y,z,a(u,w,v5)) = (x \ 1) \ v6. [para(12981(a,1),11972(a,2,1)),rewrite([561(5),5534(8),16922(10)]),flip(a)]. 60234 T(x,(y * y) * (y \ 1)) = T(x,y). [para(11972(a,1),22931(a,1,2)),rewrite([22473(5),50632(6),51(8)])]. 60348 (x \ T(y,z)) * K(z,y) = x \ y. [para(2045(a,2),11972(a,2,2)),rewrite([3856(2),5539(3),2045(5),41109(6),11961(4),168(3)]),flip(a)]. 60382 T(x,(y * y) * (a(z,u,a(w,v5,v6)) \ (y \ 1))) = T(x,y). [back_rewrite(50638),rewrite([60234(13)])]. 60426 L(x \ y,x,x) = (1 / x) * y. [hyper(5081,a,22634,a,b,382,a),rewrite([22634(5),22473(3),22924(2)]),flip(a)]. 60485 (x * y) / L(z \ y,z,x) = x * z. [hyper(271,a,340,a,b,382,a(flip))]. 60487 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(51(a,1),382(a,2,1))]. 60488 L(x \ y,x,x \ z) = z \ ((z / x) * y). [para(53(a,1),382(a,2,1)),rewrite([26402(3)])]. 60489 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(54(a,1),382(a,1,1)),flip(a)]. 60496 (x / (x / y)) \ (y * z) = K(y,y \ x) * z. [para(160(a,2),382(a,2,1)),rewrite([5754(3),5538(6)]),flip(a)]. 60507 (x * ((x * y) / x)) \ (T(x,y) * z) = L(y \ z,y,x). [para(203(a,1),382(a,2,1)),rewrite([25262(3)]),flip(a)]. 60534 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [para(410(a,1),382(a,2,1)),rewrite([26536(4)])]. 60536 L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) = w \ ((a(x,y,z) \ w) * u). [para(6592(a,1),382(a,2,1))]. 60540 L(x \ (K(y,z) * u),x,z) = (T(z,y) * x) \ (z * u). [para(7760(a,1),382(a,2,2)),rewrite([25262(5)])]. 60569 L(L(T(x,y),z,u) \ w,L(x,z,u),y) = (y * L(x,z,u)) \ (T(y,x) * w). [para(6488(a,1),382(a,2,1)),rewrite([25262(7),27485(6)])]. 60766 (x * y) / T(z * x,T(z,x) \ y) = (z * x) \ (x * y). [back_rewrite(30183),rewrite([60534(9)])]. 60809 L((x \ 1) \ y,x,x) = x * y. [hyper(5083,a,60487,a,b,5754,a(flip)),rewrite([28115(7),5754(6),26458(6),31952(5)])]. 60822 x \ (a(a(y,z,u),w,v5) * (v6 * v7)) = x \ (v6 * (a(a(y,z,u),w,v5) * v7)). [hyper(295,a,20156,a(flip),b,60487,a),rewrite([11962(4),31153(5),11962(9),29342(10),60487(7),7727(9)]),flip(a)]. 60826 L(a(x,y,z) \ u,a(x,y,z),x * (y * z)) = ((x * y) * z) \ ((x * (y * z)) * u). [para(54(a,1),60487(a,1,1,1)),rewrite([54(7)])]. 60829 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(60487(a,1),63(a,1,1)),flip(a)]. 60842 K((x \ y) \ z,u) = K(y \ (x * z),u). [para(60487(a,1),6159(a,1,1)),flip(a)]. 60844 L(((x \ y) \ z) * K(u,w),x \ y,x) = y \ (x * (z * K(u,w))). [para(7726(a,2),60487(a,2,2)),rewrite([41109(4),7726(9)])]. 60845 K(x,(y \ z) \ u) = K(x,z \ (y * u)). [para(60487(a,1),5537(a,1,2)),flip(a)]. 60848 T(x,(y \ z) \ u) = T(x,z \ (y * u)). [para(60487(a,1),6174(a,1,2)),flip(a)]. 60866 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(60487(a,1),24271(a,1,2,1)),rewrite([51(2)]),flip(a)]. 60873 x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w). [para(60487(a,1),26653(a,1,1)),rewrite([60844(10)]),flip(a)]. 60881 (x \ y) \ ((y / x) * z) = K(x,x \ y) * z. [para(3776(a,1),60487(a,1,1,1)),rewrite([5754(3),3776(6),26402(7),5538(7)]),flip(a)]. 60893 L((T(T(x,y),y) \ z) \ u,x \ z,x) = z \ (T(T(x,y),y) * u). [para(36599(a,2),60487(a,1,1,1)),rewrite([36599(4),25262(10),25262(9),26514(8),26514(7)])]. 60895 L((x * (y \ z)) \ x,y \ z,y) = L(z \ y,y \ z,x). [para(60487(a,1),57669(a,1,1)),rewrite([49(2)]),flip(a)]. 60920 K(((x \ 1) \ y) * K(z,u),w) = K(K(z,u) * (x * y),w). [back_rewrite(48501),rewrite([60842(10),5754(9)])]. 60934 K(x / ((y * z) \ u),T(w,z * (y * u))) = K(u \ ((y * z) * x),w). [back_rewrite(36776),rewrite([60842(11)])]. 60980 K(x / y,(x / y) \ z) = K(y \ x,(y * z) / x). [back_rewrite(50969),rewrite([60845(8),6727(8)])]. 61242 T(x,a(y,z,u) \ ((w * (a(y,z,u) \ v5)) \ v6)) = T(x,v5 \ (a(y,z,u) * (w \ (a(y,z,u) \ v6)))). [back_rewrite(19418),rewrite([60848(7)]),flip(a)]. 61308 L(L(T(x,y),z,u) \ 1,L(x,z,u),u * z) = ((u * (z * x)) \ (u * z)) * K(y,x). [back_rewrite(25140),rewrite([60873(13)])]. 61350 L(R((x \ 1) \ y,z,u),x,x) = R(x * y,z,u). [hyper(295,a,28083,a(flip),b,60829,a),rewrite([324(8)])]. 61357 L(R(T(x,y) \ z,u,w),x,y) = R((x * y) \ (y * z),u,w). [para(58(a,1),60829(a,1,1,1,1)),rewrite([58(5),26536(5)])]. 61406 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(60829(a,1),380(a,1,2)),rewrite([51(2)]),flip(a)]. 61407 x * ((x \ y) * L(R((x \ y) \ z,u,w),v5,v6)) = y * L(R(y \ (x * z),u,w),v5,v6). [para(60829(a,1),24271(a,1,2,1)),rewrite([51(2)]),flip(a)]. 61578 L(((x \ 1) \ 1) \ y,x,x) = (x \ 1) * y. [hyper(5081,a,31938,a,b,60809,a),rewrite([31938(5),26414(13),28083(11)]),flip(a)]. 61612 (x \ 1) \ x = x * x. [hyper(273,a,322,a,b,60809,a),flip(a)]. 61613 x * ((x \ 1) * y) = L(y,x,x). [para(50(a,1),60809(a,1,1)),flip(a)]. 61614 L(T(x,y \ 1),y,y) = y * (x * (y \ 1)). [para(58(a,1),60809(a,1,1))]. 61615 L(T((x \ 1) \ y,z),x,x) = T(x * y,z). [para(60809(a,1),60(a,1,1)),flip(a)]. 61616 L(L((x \ 1) \ y,z,u),x,x) = L(x * y,z,u). [para(60809(a,1),64(a,1,1)),flip(a)]. 61634 (1 / x) \ (x * y) = x * ((x \ 1) \ y). [para(60809(a,1),22931(a,1,2))]. 61712 (x \ 1) \ (K(y,z) * x) = x * (K(y,z) * x). [hyper(5142,a,61612,a,b,7726,a),rewrite([12023(4),41109(7),11961(5),9510(9),7726(9),77(8),49(7),7725(8)])]. 61746 x / (x * x) = x \ 1. [hyper(271,a,340,a,b,61612,a)]. 61772 (1 / x) * (1 / x) = x \ (1 / x). [para(340(a,1),61612(a,1,1)),flip(a)]. 61776 T(x \ 1,x * x) = 1 / x. [para(61612(a,1),411(a,1,2)),rewrite([61612(7),22924(6)])]. 61778 L(x \ (y * y),x,y) = ((y \ 1) * x) \ y. [para(61612(a,1),11892(a,1,1,2)),rewrite([26414(5)])]. 61780 (1 / x) * (x \ y) = (x * x) \ y. [para(61612(a,2),11892(a,2,1)),rewrite([60426(3),61612(7)])]. 61798 (x * (1 / (1 / x))) * y = (x \ (1 / x)) \ y. [para(61612(a,2),26378(a,2,1)),rewrite([1816(3),5754(6),30939(6),340(10)])]. 61822 x \ ((x \ 1) * y) = (x * x) \ y. [para(61612(a,1),60487(a,1,1,1)),rewrite([61612(5),26414(6),321(4)]),flip(a)]. 61830 K(x \ 1,x * x) = K(x,x \ 1). [back_rewrite(31630),rewrite([61746(2),13757(5)]),flip(a)]. 61849 (x \ (1 / x)) \ (y * z) = ((x \ (1 / x)) \ y) * z. [back_rewrite(31098),rewrite([61798(6),61798(12)]),flip(a)]. 61850 K(x \ 1,x) * ((x * x) * y) = (x \ (1 / x)) \ y. [back_rewrite(30939),rewrite([61798(12)])]. 61871 T(x,T((y \ z) \ u,w)) = T(x,T(z \ (y * u),w)). [hyper(5083,a,60848,a(flip),b,5698,a),rewrite([5754(7),253(7)]),flip(a)]. 61900 K(((x \ y) \ z) / u,T(w,y * (x * z))) = K(u \ ((x \ y) \ z),w). [para(60848(a,1),242(a,1,2)),rewrite([27834(7)])]. 61907 ((x \ y) \ z) * T(u,y \ (x * z)) = u * ((x \ y) \ z). [para(60848(a,1),410(a,1,2))]. 61910 x / T(y \ z,z \ (y * x)) = (y \ z) \ x. [para(60848(a,1),2244(a,1,2))]. 61915 T(x,((y \ z) \ u) * K(w,v5)) = T(x,(z \ (y * u)) * K(w,v5)). [para(7726(a,2),60848(a,2,2,2)),rewrite([41109(4),7726(8),60873(9)])]. 61936 T(x,y \ (a(z,u,w) * v5)) = T(x,y \ (v5 * a(z,u,w))). [para(1143(a,1),60848(a,2,2,2)),rewrite([60848(4)])]. 61961 K(x,T(y,z * (u * (w \ v5)))) = K(x,T(y,z * (u * (w * v5)))). [para(60848(a,1),26853(a,1,2)),rewrite([27834(5),26853(5),36703(10),48255(10)]),flip(a)]. 61975 K(x,T(y \ ((z \ u) \ w),u * (z * w))) = K(x,((z \ u) \ w) / y). [para(60848(a,1),34821(a,1,2)),rewrite([27834(7)])]. 61983 x / T((y \ z) * K(u,w),z \ (y * x)) = (y \ z) \ (K(w,u) * x). [para(60848(a,1),44061(a,1,2))]. 62042 K(x,T(y,z * ((u \ w) * v5))) = K(x,T(y,z * (w * (u * v5)))). [back_rewrite(48255),rewrite([61961(10)])]. 62070 K(x,T(y,z * ((u * w) * v5))) = K(x,T(y,z * (w * (u * v5)))). [back_rewrite(36788),rewrite([61961(10)])]. 62108 L(x,y,y) / ((y \ 1) * x) = y. [hyper(5142,a,61613,a,b,61613,a),rewrite([61613(4)])]. 62146 x \ ((1 / x) * y) = (x \ 1) * (x \ y). [hyper(5083,a,21093,a,b,61613,a),rewrite([21093(5),60426(2)])]. 62148 x \ L(L(y,x,x),z,u) = (x \ 1) * L(y,z,u). [hyper(5083,a,64,a,b,61613,a)]. 62149 (x \ 1) * L(x \ 1,y,z) = x \ L(1 / x,y,z). [hyper(5083,a,57669,a(flip),b,61613,a),rewrite([22924(2)]),flip(a)]. 62154 T(x,y) \ L(z,x,x) = (T(x,y) \ 1) * z. [hyper(5083,a,26536,a(flip),b,61613,a),rewrite([25262(3)])]. 62160 (x \ 1) * (x \ 1) = x \ (1 / x). [hyper(5083,a,12004,a(flip),b,61613,a),rewrite([22924(2)]),flip(a)]. 62163 (x \ 1) * (x \ (x \ y)) = x \ ((x * x) \ y). [hyper(5083,a,11892,a(flip),b,61613,a),flip(a)]. 62164 (x \ 1) * a(y,a(z,u,w),v5) = x \ a(y,a(z,u,w),v5). [hyper(5083,a,5529,a(flip),b,61613,a),flip(a)]. 62166 (x \ 1) * (y * y) = x \ (y * y). [hyper(5083,a,322,a(flip),b,61613,a),flip(a)]. 62167 x * ((x \ K(y,z)) * u) = L(K(y,z) * u,x,x). [hyper(5081,a,26458,a,b,61613,a),rewrite([26458(3),31945(8)]),flip(a)]. 62168 x * ((x \ (y * y)) * z) = L((y * y) * z,x,x). [hyper(5081,a,25954,a,b,61613,a),rewrite([25954(3),57375(8)]),flip(a)]. 62184 (a(x,y,z) \ 1) * (a(x,y,z) \ u) = (a(x,y,z) * a(x,y,z)) \ u. [hyper(7088,a,61613,a(flip),b,19228,a),rewrite([561(8),60426(12),6706(10),61822(12)])]. 62187 T(T(x,x \ 1),T(x \ 1,x) * y) = (T(x \ 1,x) * y) \ L(y,x,x). [hyper(7088,a,61613,a(flip),b,9213,a)]. 62223 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(5142,a,61613,a(flip),b,265,a(flip)),rewrite([61615(9),51(5)])]. 62239 (x \ a(a(y,z,u),w,v5)) * (a(a(y,z,u),w,v5) \ v6) = (x \ 1) * v6. [hyper(5083,a,61613,a(flip),b,28754,a(flip)),rewrite([20231(7),29249(4),28098(2),30953(10),49(9),28851(10)]),flip(a)]. 62244 a(x,y,z) * ((a(x,y,z) * a(x,y,z)) \ u) = (a(x,y,z) \ 1) * u. [hyper(5081,a,19228,a,b,61613,a(flip)),rewrite([62184(6),50704(6),60426(11),6706(9)])]. 62255 ((x * y) * ((y \ 1) * z)) / L(z,y,y) = R(x,y,(y \ 1) * z). [para(61613(a,1),57(a,1,2))]. 62289 a(x,y,(y \ 1) * z) * (x * L(z,y,y)) = (x * y) * ((y \ 1) * z). [para(61613(a,1),7687(a,1,2,2))]. 62290 a(x,x,y) * L(y,x,x) = y. [para(61613(a,1),7687(a,1,2)),rewrite([50864(3),51(6),48(5)])]. 62307 x * (a(y,z,u) * (x \ 1)) = L(a(y,z,u),x,x). [para(1143(a,2),61613(a,1,2))]. 62366 L(T(x,x \ 1) * y,x,x) = x * L(y,x,x). [para(13287(a,1),61613(a,1,2)),rewrite([22934(4)]),flip(a)]. 62372 T(x,x \ (1 / x)) = 1 / (1 / x). [para(61613(a,1),23196(a,1,2)),rewrite([60426(4),49(5),62160(9),411(10,R)]),flip(a)]. 62373 K(x,y \ ((z \ 1) \ (z \ u))) = K(x,L(y,z,z) \ u). [para(61613(a,1),12016(a,1,2,1)),rewrite([12016(9)]),flip(a)]. 62374 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [para(61613(a,1),14494(a,1,2,2)),rewrite([6174(5),181(5)]),flip(a)]. 62397 a(L((x \ 1) * y,x,x),z,u) = a(L(y,x,x) * x,z,u). [para(61613(a,1),46456(a,1,1,1)),flip(a)]. 62406 a(x * ((y * z) * z),u,w) = a(x * L(y,z,z),u,w). [para(61613(a,1),46819(a,2,1,2)),rewrite([50849(6)])]. 62407 a(L(x * y,z,z),u,w) = a(L(y * x,z,z),u,w). [para(61613(a,1),46819(a,2,1)),rewrite([47239(6),46456(4)])]. 62425 L(x,y,z) * ((x \ (1 / x)) * u) = L(1 / x,y,z) * u. [para(61613(a,1),49326(a,1,1,1)),rewrite([60426(3),49(4),62160(10)]),flip(a)]. 62445 K(x,x \ 1) * ((x \ (1 / x)) * y) = (x * x) \ y. [back_rewrite(31807),rewrite([62160(8)])]. 62462 ((a(x,y,z) \ 1) * u) / (a(x,y,z) \ 1) = T(u,a(x,y,z) * a(x,y,z)). [back_rewrite(50671),rewrite([62244(6)])]. 62466 a(((x * y) * x) * z,u,w) = a(z * L(y,x,x),u,w). [back_rewrite(46527),rewrite([62406(8)])]. 62478 (a(x,a(y,z,u),w) / v5) \ 1 = a(x,a(y,z,u),w) \ v5. [hyper(7088,a,340,a(flip),b,62164,a),rewrite([561(8)])]. 62606 K(x,y) * (a(z,a(u,w,v5),v6) \ x) = a(z,a(u,w,v5),v6) \ T(x,y). [hyper(295,a,43188,a,b,62478,a),rewrite([62478(6)])]. 62626 (a(x,a(y,z,u),w) * v5) \ v6 = v5 \ (a(x,a(y,z,u),w) \ v6). [para(62478(a,2),11892(a,1,1,2)),rewrite([62478(5),5535(7)]),flip(a)]. 62627 (x * a(y,a(z,u,w),v5)) \ v6 = a(y,a(z,u,w),v5) \ (x \ v6). [para(62478(a,2),11892(a,1,1)),rewrite([62478(6),5532(7)]),flip(a)]. 62643 a((a(x,a(y,z,u),w) \ v5) * v6,v7,v8) = a((v5 \ a(x,a(y,z,u),w)) * v6,v7,v8). [para(62478(a,1),46633(a,1,1,1)),rewrite([12534(10)])]. 62651 (a(x,a(y,z,u),w) \ v5) \ v6 = v5 \ (a(x,a(y,z,u),w) * v6). [para(62478(a,2),60487(a,1,1,1)),rewrite([62478(5),5535(10)])]. 62675 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(5306,a,61406,a)]. 62680 x \ (K(y,z) * R(K(z,y) * (x * u),w,v5)) = (x \ K(y,z)) * R((x \ K(y,z)) \ u,w,v5). [hyper(5083,a,5754,a,b,61406,a),rewrite([5754(4),5754(6)])]. 62681 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(5083,a,48,a(flip),b,61406,a),rewrite([324(3)]),flip(a)]. 62707 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(50(a,1),61406(a,1,2,1)),rewrite([50(2)]),flip(a)]. 62761 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [para(411(a,2),61406(a,1,2,2,1)),rewrite([6623(5),58(6),6623(7)])]. 62765 (x \ a(y,z,a(u,w,v5))) * R((x \ 1) \ v6,v7,v8) = a(y,z,a(u,w,v5)) * (x \ R(x * v6,v7,v8)). [para(12879(a,1),61406(a,1,2,1)),rewrite([12879(10),62681(9),16927(16),60187(16)]),flip(a)]. 62822 K(x \ R(y,z,u),T(w,y)) = K(R(y,z,u) / x,w). [hyper(7088,a,62761,a,b,9005,a),rewrite([6492(5),2598(4),62761(12),50(11)])]. 62852 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(5306,a,62761,a)]. 62910 (x \ R(x,y,z)) * K(u,w) = R(x,y,z) * (x \ K(u,w)). [hyper(5083,a,41552,a,b,62761,a),rewrite([41552(4),41109(4)])]. 62924 R(x,y,z) * (x \ K(u,x)) = T(x,u) \ R(x,y,z). [hyper(5083,a,2045,a,b,62761,a),rewrite([5679(2),11981(4),5679(6)]),flip(a)]. 62930 R(x,y,z) * (x \ ((R(x,y,z) \ 1) * u)) = x \ L(u,R(x,y,z),R(x,y,z)). [hyper(5083,a,61613,a(flip),b,62761,a),flip(a)]. 62942 R(x,y,z) * (x \ K(x,u)) = x \ R(T(x,u),y,z). [hyper(5083,a,149,a(flip),b,62761,a),rewrite([61(2),6332(6)]),flip(a)]. 62943 R(x,y,z) * (x \ (R(x,y,z) \ u)) = x \ u. [hyper(5083,a,51,a(flip),b,62761,a),flip(a)]. 62944 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(5083,a,49,a(flip),b,62761,a),flip(a)]. 62974 ((x * x) \ y) * (R((x * x) \ y,z,u) * (y \ ((x * x) * w))) = R((x * x) \ y,z,u) * w. [hyper(295,a,22473,a,b,62761,a),rewrite([23536(7),22473(10)])]. 62982 (x \ R(x,y,z)) * a(u,w,a(v5,v6,v7)) = R(x,y,z) * (x \ a(u,w,a(v5,v6,v7))). [hyper(266,a,8271,a,b,62761,a)]. 62986 x \ R(T(x,x \ R(x,y,z)),y,z) = R(x,y,z) / x. [hyper(266,a,197,a(flip),b,62761,a),rewrite([62942(8)]),flip(a)]. 63006 (R(x,y,z) * u) / T(x,R(x,y,z) * (x \ u)) = R(x,y,z) * (x \ u). [hyper(5142,a,62761,a(flip),b,410,a)]. 63026 x * (R(T(x,y),z,u) * (T(x,y) \ w)) = R(x,z,u) * w. [hyper(5083,a,62761,a(flip),b,7763,a),rewrite([5754(5),52162(5)]),flip(a)]. 63030 ((x * x) \ y) * (R(y,z,u) * (y \ w)) = ((x * x) \ R(y,z,u)) * w. [hyper(5083,a,62761,a(flip),b,325,a),rewrite([22473(4)]),flip(a)]. 63041 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(50(a,1),62761(a,1,2,2)),flip(a)]. 63119 R(T(x,y),z,u) * (x \ 1) = x \ R(T(x,y),z,u). [para(62761(a,1),2467(a,1,2,1)),rewrite([49(3),61(2),61(5)]),flip(a)]. 63148 (x \ y) * (R(T(x,x \ y),z,u) * w) = (y / x) * (R(x,z,u) * w). [para(62761(a,1),13287(a,1,2)),rewrite([63026(15)])]. 63176 a(x * (R(x \ 1,y,z) * ((x \ 1) \ u)),w,v5) = a(R(x \ 1,y,z) * u,w,v5). [para(62761(a,1),46633(a,1,1)),flip(a)]. 63201 L(R(x \ 1,y,z) * ((x \ 1) \ u),x,x) = x * (R(x \ 1,y,z) * u). [para(62761(a,1),61613(a,1,2)),flip(a)]. 63214 L(x,R(y,z,u),y) = L(x,y,R(y,z,u)). [back_rewrite(21174),rewrite([63041(3),7336(7)])]. 63215 a(R(x,y,z),x,u) = a(x,R(x,y,z),u). [back_rewrite(19511),rewrite([63041(6),7337(7)]),flip(a)]. 63216 x * (R(x,y,x) * y) = (x * y) * T(x,y). [back_rewrite(19300),rewrite([63041(3)])]. 63354 (x * (R(x,y,z) * u)) \ ((x * u) * R(x,y,z)) = K(x * u,x). [para(63041(a,1),55(a,1,1)),rewrite([5679(10)])]. 63438 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(63041(a,1),2467(a,1,2,1)),rewrite([51(6),49(3)]),flip(a)]. 63590 R(x,y,z) \ (x \ u) = x \ (R(x,y,z) \ u). [hyper(5306,a,62943,a)]. 63663 x \ (R(x,y,z) \ x) = R(x,y,z) \ 1. [hyper(5083,a,323,a(flip),b,62943,a),flip(a)]. 63688 R(T(x,y),z,u) * (x \ (R(x,z,u) \ w)) = K(x,y) * (x \ w). [hyper(5083,a,62943,a(flip),b,8487,a),rewrite([5679(2),5754(3),61(5)]),flip(a)]. 63708 R(x,y,z) * (K(x,u) * (x \ w)) = R(T(x,u),y,z) * (x \ w). [para(62943(a,1),241(a,1,2)),rewrite([61(2),61(7),63688(11)]),flip(a)]. 63719 K(x,(y \ (R(y,z,u) \ w)) * R(y,z,u)) = K(x,w / y). [para(62943(a,1),7197(a,1,2,1)),rewrite([6492(3),36200(3)]),flip(a)]. 63722 T(x,x \ (R(x,y,z) \ u)) \ u = (x \ (R(x,y,z) \ u)) * R(x,y,z). [para(62943(a,1),5593(a,1,2)),rewrite([9113(6)])]. 63788 (x \ 1) \ (x \ L(x,y,z)) = L(T(x,x \ 1),y,z). [hyper(7088,a,62148,a,b,18710,a(flip)),rewrite([60(4),60809(11),49(8)]),flip(a)]. 63799 (x \ L(x,y,z)) / (x \ 1) = L(x,y,z). [hyper(5142,a,62148,a,b,18710,a(flip)),rewrite([60809(5),49(2)])]. 63802 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(5083,a,62148,a,b,18710,a(flip)),rewrite([60809(6),49(3)])]. 63805 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [hyper(5081,a,207,a,b,62148,a),rewrite([207(7),60809(11)])]. 63806 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(5081,a,18710,a(flip),b,62148,a),rewrite([60809(9),49(6)])]. 63868 (x \ 1) * L((y * y) * z,u,w) = (x \ (y * y)) * L(z,u,w). [para(25603(a,1),62148(a,1,2,1)),rewrite([25316(5),23536(5),25954(4),25954(3),62148(5),23536(10),49(9)])]. 63897 K(x,K(y,z * L(u,w,v5))) = K(x,K(y,u * z)). [para(62148(a,1),43676(a,1,2,2)),rewrite([44473(6),48(4),56432(9),56432(8)])]. 63900 K(x,K(y,z * (u * L(w,v5,v6)))) = K(x,K(y,w * (z * u))). [para(62148(a,1),44473(a,1,2,2,1)),rewrite([56568(7),48771(7),56432(11),56432(10)])]. 63901 K(x,K(y,z * ((u \ 1) \ w))) = K(x,K(y,z * (w * (u \ 1)))). [para(62148(a,2),44473(a,2,2,2,2)),rewrite([63897(7),62148(9),63900(13)])]. 63902 a((((x \ 1) * L(y,z,u)) * w) * v5,v6,v7) = a(v5 * ((L(y,z,u) * x) * w),v6,v7). [para(62148(a,2),46702(a,1,1,1,1)),rewrite([62148(3),50849(14)])]. 63914 (x \ 1) * L(L(x \ 1,y,z),u,w) = x \ L(L(1 / x,y,z),u,w). [para(57669(a,1),62148(a,1,2,1)),rewrite([22924(2)]),flip(a)]. 63923 x \ L(x * K(y,z),u,w) = L(x,u,w) * (x \ K(y,z)). [back_rewrite(32147),rewrite([63805(8)])]. 63956 L(T(x * y,y \ (x \ 1)),z,u) = L(((x * y) \ 1) \ 1,z,u). [hyper(7088,a,11892,a,b,63806,a),rewrite([12024(6),60(6),11892(14),63788(14),411(11)])]. 63997 K(x,x \ 1) / x = L(1 / x,x,x). [hyper(5142,a,22931,a(flip),b,63806,a),rewrite([1816(3),340(7)])]. 64022 (T(x,y) * z) \ L(T(x,y) * z,u,w) = (x * z) \ L(x * z,u,w). [hyper(5081,a,52208,a,b,63806,a),rewrite([26458(6),7763(5),63806(12)])]. 64024 (T(x,y) \ z) \ L(T(x,y) \ z,u,w) = (x \ z) \ L(x \ z,u,w). [hyper(5081,a,33918,a,b,63806,a),rewrite([26458(6),9113(5),63806(12)])]. 64025 ((1 / x) * y) \ L((1 / x) * y,z,u) = (x * y) \ L(x * y,z,u). [hyper(5081,a,26378,a,b,63806,a),rewrite([25954(7),23236(6),63806(14)]),flip(a)]. 64029 T(x \ L(x,y,z),K(u,w)) = x \ L(x,y,z). [hyper(5081,a,12023,a(flip),b,63806,a),rewrite([63923(5),32394(6),63806(4),562(4),12023(11),27438(12),5784(11),63806(8)])]. 64035 T(x,y) \ L(T(x,y),z,u) = x \ L(x,z,u). [hyper(295,a,18733,a,b,63806,a),rewrite([63806(6)])]. 64051 (x \ L(x,y,z)) * (u * u) = L(x,y,z) * (x \ (u * u)). [para(63806(a,1),7(a,1,1)),rewrite([62166(9)])]. 64063 (x \ L(x,y,z)) / L(x,y,z) = 1 / x. [para(63806(a,1),147(a,1,1)),rewrite([6159(10),147(10,R),51(7)])]. 64064 K((x \ 1) * L(x,y,z),u) = K(L(x,y,z) / x,u). [para(63806(a,1),181(a,1,1)),rewrite([27834(6),49(4),879(4)]),flip(a)]. 64067 (x \ L(x,y,z)) * T((x \ L(x,y,z)) \ u,w) = L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)). [para(63806(a,1),255(a,1,1)),rewrite([63806(6),219(17)])]. 64080 a(x,L(y,z,u),y \ 1) * (x * (y \ L(y,z,u))) = (x * L(y,z,u)) * (y \ 1). [para(63806(a,1),7687(a,1,2,2))]. 64081 (x \ L(x,y,z)) * a(u,w,a(v5,v6,v7)) = L(x,y,z) * (x \ a(u,w,a(v5,v6,v7))). [para(63806(a,1),7735(a,1,1)),rewrite([12999(11)])]. 64085 (L(x,y,z) * (x \ K(u,w))) * v5 = (x \ L(x,y,z)) * (K(u,w) * v5). [para(63806(a,1),9566(a,2,1)),rewrite([31850(5)])]. 64086 (x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)). [para(63806(a,1),7726(a,1,1)),rewrite([31850(9)])]. 64090 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [para(411(a,2),63806(a,1,2)),rewrite([11573(7)]),flip(a)]. 64093 T(x,L(y,z,u) \ (y * w)) = T(x,y * (L(y,z,u) \ w)). [para(63806(a,1),12024(a,1,2,1)),rewrite([60848(4),60848(10),324(9)])]. 64094 a(x \ L(x,y,z),u,w) = a(x * L(x,y,z),u,w). [para(63806(a,1),12467(a,2,1)),rewrite([60(2),46639(6),12585(4)]),flip(a)]. 64097 (x \ L(x,y,z)) * T(x \ 1,x) = ((x \ 1) * L(x,y,z)) * (x \ 1). [para(63806(a,1),14227(a,1,1)),rewrite([6174(6)])]. 64099 a(x,y \ L(y,z,u),w) = a(x,y * L(y,z,u),w). [para(63806(a,1),13932(a,2,2)),rewrite([60(2),50787(6),14770(4),13654(2)]),flip(a)]. 64111 L(T(x,y),z,u) * (x \ L(x,w,v5)) = L(x,z,u) * (x \ L(T(x,y),w,v5)). [para(63806(a,2),18733(a,1,2)),rewrite([63806(8),64035(6)])]. 64112 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(63806(a,1),2467(a,1,2,1,2)),rewrite([51(3),60(2),60(5)]),flip(a)]. 64113 ((x \ L(x,y,z)) * u) / (L(x,y,z) * ((x \ 1) * u)) = a(L(x,y,z),x,u). [para(63806(a,1),7337(a,1,1,1)),rewrite([50864(13)])]. 64116 T(x \ L(T(x,y),z,u),K(x,y)) = L(x,z,u) * (x \ K(x,y)). [para(63806(a,2),11215(a,1,1)),rewrite([63806(6),64035(4),64086(4)]),flip(a)]. 64117 T(L(x,y,z) \ L(L(T(x,u),y,z),w,v5),K(x,u)) = L(L(T(x,u),y,z),w,v5) * (L(x,y,z) \ 1). [para(63806(a,2),19895(a,1,1)),rewrite([63806(8),64086(8),31964(7)]),flip(a)]. 64119 (L(x,y,z) * (x \ (u * u))) * w = (x \ L(x,y,z)) * ((u * u) * w). [para(63806(a,1),315(a,2,1)),rewrite([62166(5)])]. 64121 (L(x,y,z) * (x \ K(u,w))) \ v5 = K(w,u) * ((x \ L(x,y,z)) \ v5). [para(63806(a,1),12013(a,2,2,1)),rewrite([31850(5)])]. 64123 (L(x,y,z) * ((x \ 1) * u)) / T(x \ L(x,y,z),u) = L(u,x,L(x,y,z)). [para(63806(a,1),7336(a,1,2,1)),rewrite([28083(13)])]. 64124 (x \ L(x,y,z)) * L(u,x,L(x,y,z)) = L(x,y,z) * ((x \ 1) * u). [para(63806(a,1),380(a,1,1)),rewrite([28083(6)])]. 64137 L(x,y,z) * ((x \ 1) * a(a(u,w,v5),v6,v7)) = (x \ L(x,y,z)) * a(a(u,w,v5),v6,v7). [para(63806(a,1),7733(a,1,1)),flip(a)]. 64150 L(x,(y \ z) \ L(T(y,u) \ z,w,v5),v6) = L(x,(y \ z) \ L(y \ z,w,v5),v6). [para(63806(a,2),34030(a,1,2)),rewrite([63806(8),64024(6)]),flip(a)]. 64168 K(x,y) * ((x \ L(x,z,u)) * w) = (x \ L(T(x,y),z,u)) * w. [para(63806(a,1),8630(a,1,2,1)),rewrite([6159(2),60(7),64112(10)])]. 64173 a(x * ((y \ L(y,z,u)) * w),v5,v6) = a(x * ((y * L(y,z,u)) * w),v5,v6). [para(63806(a,1),46702(a,2,1,2,1)),rewrite([63902(7),13654(2)]),flip(a)]. 64176 a(x,(y \ L(T(y,z),u,w)) * v5,v6) = a(x,v5 * (y \ L(y,u,w)),v6). [para(63806(a,2),47597(a,1,2,2)),rewrite([63806(6),64035(4)]),flip(a)]. 64177 (x \ K(y,z)) \ L(x \ 1,u,w) = K(z,y) * (x * L(x \ 1,u,w)). [para(63806(a,2),31968(a,1,2)),rewrite([63806(9),64090(7)]),flip(a)]. 64180 T(x,x \ 1) \ L(x,y,z) = (x \ 1) * L(x,y,z). [para(63806(a,1),13542(a,1,2)),rewrite([9113(6)])]. 64181 K(x,y) * (x \ L(x,z,u)) = x \ L(T(x,y),z,u). [para(63806(a,2),8936(a,1,2)),rewrite([63806(7),64035(5)])]. 64190 K(x \ 1,x) * T(x \ L(x,y,z),u) = T((x \ 1) * L(x,y,z),T(u,x)). [para(63806(a,1),10800(a,1,2,1)),rewrite([5537(4),6174(13)])]. 64194 (x \ L(x,y,z)) \ L(T(x,x \ 1),y,z) = ((x \ 1) * L(x,y,z)) \ L(x,y,z). [para(63806(a,1),57973(a,1,1)),rewrite([60(6)])]. 64201 (x \ L(x,y,z)) \ (L(x,y,z) * u) = L((x \ 1) \ u,x,L(x,y,z)). [para(63806(a,1),382(a,2,1)),rewrite([28083(7)]),flip(a)]. 64205 L(x * L(x \ 1,y,z),x,x) = x * L(x \ 1,y,z). [para(63806(a,2),60809(a,1,1)),rewrite([63806(8),64090(6)])]. 64228 L(T(x,y),z,u) \ L(L(T(x,y),z,u),w,v5) = L(x,z,u) \ L(L(x,w,v5),z,u). [hyper(5081,a,6123,a,b,64035,a),rewrite([60(6),60(8)]),flip(a)]. 64229 T(L(x,y,z) * (x \ K(u,x \ L(x,y,z))),u) = x \ L(x,y,z). [hyper(5081,a,235,a,b,64035,a),rewrite([64086(6),64035(11)])]. 64231 L(T(x,y),z,u) / (x \ L(x,z,u)) = T(x,y). [hyper(271,a,340,a,b,64035,a)]. 64238 R(T(x,y),z,u) \ L(R(T(x,y),z,u),w,v5) = R(x,z,u) \ L(R(x,z,u),w,v5). [para(61(a,1),64035(a,1,1)),rewrite([61(4)])]. 64245 (x / y) \ L(x / y,z,u) = (y \ x) \ L(y \ x,z,u). [para(246(a,1),64035(a,1,1)),rewrite([246(4)]),flip(a)]. 64255 (x \ L(x,y,z)) \ L(T(x,u),y,z) = T(T(x,u),x \ L(x,y,z)). [para(64035(a,1),411(a,1,2)),rewrite([64035(8)]),flip(a)]. 64256 ((x \ y) \ y) \ L(T(x,x \ y),z,u) = x \ L(x,z,u). [para(411(a,1),64035(a,1,1))]. 64258 (T(x,y) * z) \ L(T(x,y),u,w) = (x * z) \ L(x,u,w). [para(64035(a,1),11892(a,1,1,2)),rewrite([25262(5),11892(4)]),flip(a)]. 64265 T(L(x,y,z) \ L(L(T(x,u),w,v5),y,z),K(x,u)) = L(L(T(x,u),y,z),w,v5) * (L(x,y,z) \ 1). [para(64035(a,2),19895(a,1,1)),rewrite([60(3),60(6),64228(8),19895(8),64117(14)])]. 64296 T(T(x,x \ 1),x \ L(x,y,z)) = ((x \ 1) * L(x,y,z)) \ L(x,y,z). [back_rewrite(64194),rewrite([64255(7)])]. 64348 ((x \ y) \ L(x \ y,z,u)) / L(T(x \ y,y \ x),z,u) = (x \ y) \ 1. [hyper(5142,a,63806,a(flip),b,61907,a),rewrite([49(8),60(8)])]. 64423 T(x / ((y \ z) \ 1),z \ y) = ((y \ z) \ 1) \ x. [hyper(5142,a,219,a(flip),b,61907,a(flip)),rewrite([49(5),2641(10)])]. 64521 ((a(x,y,z) \ u) \ w) * T(v5,u \ (w * a(x,y,z))) = v5 * ((a(x,y,z) \ u) \ w). [para(1143(a,1),61907(a,1,2,2,2))]. 64573 K(x,K(y,z * ((u \ w) \ v5))) = K(x,K(y,z * ((u \ w) * v5))). [para(61907(a,2),43676(a,2,2,2)),rewrite([60845(4),43676(5),56568(5),61907(11)]),flip(a)]. 64616 K(x,K(y,z * (u * (w \ 1)))) = K(x,K(y,w * (u * z))). [back_rewrite(63901),rewrite([64573(6),48771(6)]),flip(a)]. 64657 T(x,x \ 1) * (1 / x) = 1. [hyper(7049,a,22989,a(flip),b,61780,a),rewrite([28098(4),486(5),42661(6),2244(5),31231(6),25365(6)])]. 64702 (1 / (1 / x)) \ ((x \ (1 / x)) \ y) = (1 / x) \ y. [hyper(5083,a,26378,a,b,61780,a),rewrite([1816(7),5754(10),61850(10)])]. 64708 (1 / x) \ T((x * x) \ 1,y) = x \ K(y,x * x). [hyper(5083,a,225,a,b,61780,a),rewrite([32659(6)])]. 64713 (1 / ((x * x) \ y)) \ (((y * ((x * x) \ y)) \ (x * x)) * z) = y \ ((x * x) * z). [hyper(5083,a,26221,a(flip),b,61780,a),rewrite([26308(10),23536(14)])]. 64714 K(x \ 1,x) = K(x,x \ 1). [hyper(5083,a,22989,a(flip),b,61780,a),rewrite([31231(6),64245(6),60426(5),49(6),13757(5),28098(5),486(6)]),flip(a)]. 64721 (1 / (x * y)) \ a(x * y,x,y) = R(x * y,x,y). [hyper(5083,a,54,a(flip),b,61780,a),rewrite([6713(11),409(9)])]. 64723 ((x \ y) * (x \ y)) \ (y / x) = 1 / T(x \ y,x). [hyper(5081,a,51000,a,b,61780,a),rewrite([51000(8),13757(11),42661(11)])]. 64726 (x * T(x,x \ 1)) * y = (x \ (1 / x)) \ y. [hyper(5081,a,26378,a,b,61780,a),rewrite([1816(3),5754(6),64714(3),8630(6),1599(4),61780(13),61772(10)])]. 64732 (1 / (x * y)) * R(x * y,x,y) = a(x * y,x,y). [hyper(5081,a,54,a(flip),b,61780,a),rewrite([6713(10),409(8)]),flip(a)]. 64760 (x * x) \ T(x,y) = (1 / x) * K(x,y). [para(82(a,1),61780(a,1,2)),flip(a)]. 64765 (x \ (1 / x)) \ y = x * ((x \ 1) \ y). [para(160(a,1),61780(a,1,1)),rewrite([64714(3),149(4),50368(7),61772(9)]),flip(a)]. 64772 (1 / x) \ T((x * x) \ y,z) = x * T(x \ (x \ y),z). [para(61780(a,1),219(a,2,2,1)),rewrite([340(4),340(4)]),flip(a)]. 64867 T(x,y) * (T(T(T(x,y),z),z) \ u) = x * (T(T(x,z),z) \ u). [para(39358(a,2),61780(a,2,1)),rewrite([9510(4),1039(3),48(4),5754(5),1039(4),52864(6),2978(9),11492(9),43659(11),13631(10),12023(10),5754(9),52864(10)])]. 64904 K(x,x \ 1) * T(x \ L(x,y,z),u) = T((x \ 1) * L(x,y,z),T(u,x)). [back_rewrite(64190),rewrite([64714(3)])]. 64914 K(x,x \ 1) * T(x,y) = T(1 / (1 / x),y). [back_rewrite(55418),rewrite([64714(3)])]. 64920 (x \ y) * K(x,x \ 1) = T(x,x \ 1) \ y. [back_rewrite(51024),rewrite([64714(4)])]. 64931 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [back_rewrite(43796),rewrite([64714(3),64714(8)])]. 65008 K(x,x \ 1) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [back_rewrite(31729),rewrite([64714(3)])]. 65026 T(L(x,y,z) \ 1,x) = 1 / L(x,y,z). [back_rewrite(31650),rewrite([64714(4),6687(5)]),flip(a)]. 65038 R(x,y,z) \ K(x,x \ 1) = T(R(x,y,z) \ 1,x). [back_rewrite(19550),rewrite([64714(4)])]. 65041 L(1 / (1 / x),y,z) \ K(x,x \ 1) = L(x,y,z) \ 1. [back_rewrite(10581),rewrite([64714(8)])]. 65050 K(L(x,y,z) \ 1,x) = K(x,x \ 1). [back_rewrite(5666),rewrite([64714(7)])]. 65058 L(1 / x,x,x) = x \ 1. [back_rewrite(2256),rewrite([64714(3),63997(4)])]. 65059 K(x,x \ 1) / L(x,y,z) = L(x,y,z) \ 1. [back_rewrite(1878),rewrite([64714(3)])]. 65068 (x \ 1) * x = K(x,x \ 1). [back_rewrite(486),rewrite([64714(6)])]. 65082 (x * T(x,x \ 1)) * y = x * ((x \ 1) \ y). [back_rewrite(64726),rewrite([64765(9)])]. 65083 T(x \ 1,x) \ y = (1 / x) \ y. [back_rewrite(64702),rewrite([64765(8),60496(9),9113(7)])]. 65092 (x * ((x \ 1) \ y)) * z = x * ((x \ 1) \ (y * z)). [back_rewrite(61849),rewrite([64765(5),64765(9)]),flip(a)]. 65096 x * T(x \ (x \ 1),y) = x \ K(y,x * x). [back_rewrite(64708),rewrite([64772(7)])]. 65121 L(T(x,x \ 1),y,z) \ 1 = 1 / L(x,y,z). [back_rewrite(11288),rewrite([65026(10)])]. 65123 K(x,x \ 1) / x = x \ 1. [back_rewrite(63997),rewrite([65058(7)])]. 65126 L(x,L(y,y,y),z) = L(x,y,z). [back_rewrite(31380),rewrite([65058(3),28083(3)]),flip(a)]. 65131 T(1 / x,x * x) = x \ 1. [back_rewrite(31231),rewrite([65058(7)])]. 65237 K(K(x,y) * z,u \ L(u,w,v5)) = K(z,u \ L(u,w,v5)). [para(64085(a,2),55(a,1,1)),rewrite([64085(5),7724(10),13472(11),562(4),64029(4),55(7)]),flip(a)]. 65238 K(x \ L(x,y,z),K(u,w) * v5) = K(x \ L(x,y,z),v5). [para(64085(a,2),55(a,1,2)),rewrite([7724(5),64085(10),11961(11),9542(10),562(7),64029(7),55(7)]),flip(a)]. 65244 K(K(x,y) * (z * (u \ L(u,w,v5))),v6) = K(z * (L(u,w,v5) * (u \ K(x,y))),v6). [para(64085(a,1),181(a,1,1)),rewrite([9765(7)])]. 65256 ((x \ L(x,y,z)) * (K(u,w) * v5)) * v6 = K(u,w) * (((x \ L(x,y,z)) * v5) * v6). [para(64085(a,2),9670(a,2,1,1)),rewrite([7724(5),65238(10),7724(10),9670(9),44462(9),13654(7),44925(9),64085(11),65237(17),44462(16),13654(14),44925(16)]),flip(a)]. 65261 a((x \ L(x,y,z)) * u,w,v5) = a((x * L(x,y,z)) * u,w,v5). [para(64085(a,1),12550(a,1,1)),rewrite([12546(6),47243(10)])]. 65394 a(x,y,a(z,u,w)) \ R(v5,v6,v7) = R(a(x,y,a(z,u,w)) \ v5,v6,v7). [hyper(5083,a,7732,a,b,62707,a),rewrite([7732(11),17807(11),51(9),11964(6),50(5),11964(9),50(8)])]. 65410 L(R(x \ y,z,u),x,x) = R((1 / x) * y,z,u). [hyper(5083,a,241,a(flip),b,62707,a),rewrite([1599(2),56(8),26536(4),1599(5),57550(8),52369(7)])]. 65467 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(51(a,1),62707(a,1,2,1,2))]. 65491 x * (T(y,x) * R(T(y,x) \ z,u,w)) = y * (x * R(x \ (y \ (x * z)),u,w)). [para(410(a,1),62707(a,1,1)),rewrite([410(3),65467(6)]),flip(a)]. 65504 (x * x) * R((1 / x) * y,z,u) = x * (x * R(x \ y,z,u)). [para(618(a,2),62707(a,1,1)),rewrite([618(3),22473(4),22924(3)])]. 65670 (x * (x * R(x \ (x \ y),z,u))) * w = (x * x) * (R((x * x) \ y,z,u) * w). [para(65467(a,1),5(a,1,1))]. 65790 a(L(x / y,z,u),w,v5) = a(L(y \ x,z,u),w,v5). [para(64245(a,1),12556(a,1,1,1)),rewrite([12592(7),12556(7)]),flip(a)]. 65791 ((x \ y) \ y) \ L((x \ y) \ y,z,u) = x \ L(x,z,u). [para(337(a,1),64245(a,1,1)),rewrite([337(2)]),flip(a)]. 65807 L(x / y,z,u) \ ((x / y) * w) = L(y \ x,z,u) \ ((y \ x) * w). [para(64245(a,1),60487(a,1,1,1)),rewrite([64245(9),26402(11),60487(11)]),flip(a)]. 65868 (x \ ((y * y) \ 1)) * (x \ ((y * y) \ 1)) = x \ ((y * y) \ (1 / ((y * y) * x))). [hyper(5081,a,11965,a(flip),b,62160,a),rewrite([11965(11),11965(15)]),flip(a)]. 65871 (x \ 1) / x = x \ (1 / x). [hyper(295,a,57662,a,b,62160,a),rewrite([26414(11),28083(9),60809(7),49(4)])]. 65874 T(x \ (1 / x),K(y,z)) = x \ (1 / x). [hyper(295,a,618,a,b,62160,a),rewrite([62160(5)])]. 65875 L(x \ (1 / x),y,z) = x \ (1 / x). [hyper(295,a,322,a,b,62160,a),rewrite([62160(5)])]. 65896 ((x \ (1 / x)) * y) * z = (x \ (1 / x)) * (y * z). [para(62160(a,1),5(a,1,1,1)),rewrite([62160(10)])]. 65897 (x * (y \ (1 / y))) * z = x * ((y \ (1 / y)) * z). [para(62160(a,1),6(a,1,1,2)),rewrite([62160(10)])]. 65899 (x * y) * (z \ (1 / z)) = x * (y * (z \ (1 / z))). [para(62160(a,1),7(a,1,2)),rewrite([62160(10)])]. 65903 ((x \ (1 / x)) * y) / ((x \ 1) * y) = R(x \ 1,x \ 1,y). [para(62160(a,1),57(a,1,1,1))]. 65916 K(x,x \ (1 / x)) = a(x,x,x). [para(62160(a,2),238(a,2,2)),rewrite([23365(3),12016(4),23975(4),369(2),62160(6)]),flip(a)]. 65920 T(x,y \ (1 / y)) = T(x,y \ (y \ 1)). [para(62160(a,1),262(a,1,2,1)),rewrite([36711(7),49(5),3346(5),23365(3),12024(4),62160(9)]),flip(a)]. 65940 a(x,y,a(z,u,w)) * (v5 \ (1 / v5)) = (v5 \ 1) * (v5 \ a(x,y,a(z,u,w))). [para(62160(a,1),8362(a,1,2)),rewrite([12981(13)])]. 65944 T(x * x,x) = x * ((x \ 1) \ 1). [para(62160(a,2),3361(a,1,2,2)),rewrite([23365(3),62160(8),65916(7),23536(5),7750(4),526(3),24832(3),324(4),64765(7)])]. 65957 ((x \ (1 / x)) * y) \ z = y \ (x * ((x \ 1) \ z)). [para(62160(a,1),11965(a,1,1,1)),rewrite([62160(10),64765(9)])]. 65958 T(x,x \ (x \ 1)) = 1 / (1 / x). [para(62160(a,2),3334(a,2,2)),rewrite([23365(3),12024(4),62160(9),62372(8)])]. 65987 (x \ 1) * (a(a(y,z,u),w,v5) * (x \ 1)) = a(a(y,z,u),w,v5) * (x \ (1 / x)). [para(62160(a,1),7727(a,2,2)),rewrite([14531(8)])]. 65991 (x * (y * (z \ (1 / z)))) \ u = z * ((z \ 1) \ ((x * y) \ u)). [para(62160(a,1),11968(a,1,1,2,2)),rewrite([62160(11),64765(12)])]. 66008 (x \ (1 / x)) * L(y,z,u) = L((x \ (1 / x)) * y,z,u). [para(62160(a,1),25954(a,1,1)),rewrite([62160(10)])]. 66013 L(x,y \ (1 / y),z) = x. [para(62160(a,2),28057(a,2,2)),rewrite([23365(3),28083(4),321(2),62160(5)]),flip(a)]. 66039 1 / (x * (y \ (1 / y))) = y * ((y \ 1) \ (1 / x)). [para(62160(a,1),23196(a,1,2,2)),rewrite([62160(11),64765(12)])]. 66085 (x \ y) \ (1 / (x \ y)) = y \ (x * (1 / (x \ y))). [para(62160(a,2),60487(a,1,1)),rewrite([62160(7),65875(7)])]. 66121 T(x,y * y) \ 1 = T(x \ 1,y * y). [hyper(7088,a,62943,a,b,62166,a),rewrite([62943(11),57990(8)]),flip(a)]. 66189 (x \ 1) / (y * y) = x \ ((y * y) \ 1). [hyper(5142,a,12004,a,b,62166,a),rewrite([320(4),11965(8)])]. 66201 (x \ (((y * y) \ z) * z)) / (z * z) = x \ ((y * y) \ 1). [hyper(5142,a,11965,a(flip),b,62166,a),rewrite([22473(3),11965(10)])]. 66208 (a(x,y,z) \ (u * u)) \ 1 = a(x,y,z) / (u * u). [hyper(5142,a,6743,a(flip),b,62166,a),flip(a)]. 66213 a(x,y,x * y) / ((x * y) * (x * y)) = (x * (y * (x * y))) \ 1. [hyper(5142,a,54,a(flip),b,62166,a)]. 66270 a(x,y,x) \ (z \ (a(x,y,x) * a(x,y,x))) = (z \ 1) * a(x,y,x). [hyper(7088,a,62166,a(flip),b,7750,a),rewrite([561(6)]),flip(a)]. 66271 (x \ 1) * a(a(y,z,u),w,v5) = x \ a(a(y,z,u),w,v5). [hyper(7088,a,62166,a(flip),b,7733,a),rewrite([561(8),28990(14)])]. 66316 x * T(x,x \ 1) = (1 / x) \ x. [hyper(5083,a,62166,a(flip),b,13287,a(flip)),rewrite([41657(9),3850(8),65083(7),340(6),50(4)]),flip(a)]. 66328 (x \ (y * y)) / (x \ 1) = y * (y * K(x \ 1,y * y)). [para(62166(a,1),147(a,1,1)),rewrite([7726(11)])]. 66364 (x * x) \ ((y \ 1) \ z) = (y \ (x * x)) \ z. [para(62166(a,1),11892(a,2,1)),rewrite([26414(9),321(7)])]. 66369 a(x,y \ (z * z),u) = a(x,y,u). [para(62166(a,1),13932(a,2,2)),rewrite([13980(6),13927(4),50864(3)]),flip(a)]. 66385 (x * x) \ ((y * (z \ 1)) \ u) = (y * (z \ (x * x))) \ u. [para(62166(a,1),11968(a,1,1,2)),flip(a)]. 66414 (x \ 1) * (y \ (1 / y)) = x \ (y \ (1 / y)). [para(31938(a,2),62166(a,1,2)),rewrite([31938(9),62160(7),62160(11)])]. 66419 1 / (x \ (y * y)) = (y * y) \ x. [para(62166(a,1),23196(a,1,2)),rewrite([337(9)])]. 66441 K(x * x,y) * (z \ (x * x)) = (z \ 1) * T(x * x,y). [para(62166(a,1),13226(a,1,2)),rewrite([36711(12),49(10),51587(10)])]. 66445 L(x \ 1,y,z) * ((u * u) * w) = L(x \ (u * u),y,z) * w. [para(62166(a,1),49326(a,1,1,1)),flip(a)]. 66475 (x \ L(x,y,z)) * a(a(u,w,v5),v6,v7) = L(x,y,z) * (x \ a(a(u,w,v5),v6,v7)). [back_rewrite(64137),rewrite([66271(6)]),flip(a)]. 66480 ((1 / x) \ x) * y = x * ((x \ 1) \ y). [back_rewrite(65082),rewrite([66316(4)])]. 66506 (x * x) * ((y \ (x * x)) \ z) = (y \ 1) \ z. [hyper(5457,a,66364,a)]. 66542 K(x \ (x \ ((y \ 1) \ z)),u) = K(((x * x) \ y) * z,u). [para(66364(a,1),177(a,2,1)),rewrite([2739(8),23493(6),60842(10),22473(9)])]. 66558 a(x,y,z) / (u * u) = (u * u) \ a(x,y,z). [para(6743(a,1),66364(a,1,2)),rewrite([66208(8)]),flip(a)]. 66602 L(x,y,(z \ (u * u)) \ w) = L(x,y,(z \ 1) \ w). [para(66364(a,1),25316(a,1,3))]. 66651 ((x \ 1) \ y) \ ((z * z) * u) = ((x \ (z * z)) \ y) \ u. [para(66364(a,1),60487(a,1,1,1)),rewrite([66364(9),320(9)]),flip(a)]. 66663 ((x * y) * (x * y)) \ a(x,y,x * y) = (x * (y * (x * y))) \ 1. [back_rewrite(66213),rewrite([66558(6)])]. 66689 L(x,y,z) * (x \ K(x,u)) = x \ L(T(x,u),y,z). [hyper(295,a,11215,a(flip),b,64086,a),rewrite([64116(5),6958(9),64112(9)])]. 66738 K(x * (L(y,z,u) * (y \ K(w,K(v5,v6)))),v7) = K(x * (y \ L(y,z,u)),v7). [para(64086(a,1),212(a,1,1,2))]. 66797 L(x \ 1,y,z) * ((x \ 1) \ K(u,w)) = x * L(x \ K(u,w),y,z). [para(31952(a,2),64086(a,1,1)),rewrite([64177(7),5784(8),7726(6),26653(5),31850(4)]),flip(a)]. 66858 R(x,L(y,z,u),y \ 1) * (y \ L(y,z,u)) = (x * L(y,z,u)) * (y \ 1). [para(63799(a,1),19130(a,1,1,2)),rewrite([63799(12)])]. 66904 T(x \ 1,x) = 1 / x. [para(64714(a,1),149(a,1,2)),rewrite([147(6,R),51(3)]),flip(a)]. 66917 K(x,x \ 1) * (x \ y) = T(x,x \ 1) \ y. [para(64714(a,1),9113(a,1,1))]. 66937 (x / y) * K(y,y \ 1) = x / T(y,y \ 1). [para(64714(a,1),42661(a,1,2))]. 66941 K(x,x \ 1) * ((x \ y) * z) = (T(x,x \ 1) \ y) * z. [para(64714(a,1),11267(a,1,1))]. 66946 x \ L(T(x,x \ 1),y,z) = (x \ 1) * L(x,y,z). [para(64714(a,1),13542(a,1,1)),rewrite([63806(7),64181(6)])]. 66966 ((x \ 1) * L(x,y,z)) * (x \ 1) = (x \ L(x,y,z)) * (1 / x). [back_rewrite(64097),rewrite([66904(5)]),flip(a)]. 66970 T(T(x,x \ 1),(1 / x) * y) = T(x,x * y). [back_rewrite(62187),rewrite([66904(6),66904(10),31103(12),58(11)])]. 66975 (x \ 1) * (x * y) = x * ((1 / x) * y). [back_rewrite(31788),rewrite([66904(3)]),flip(a)]. 66988 (x \ (x \ 1)) * y = (x * x) \ y. [back_rewrite(62445),rewrite([66941(8),3359(6)])]. 67007 (x * x) \ 1 = x \ (x \ 1). [hyper(7088,a,62164,a,b,66988,a),rewrite([561(6),62164(11),23418(10)]),flip(a)]. 67009 T(x \ (x \ 1),x) = x \ (1 / x). [hyper(7088,a,57973,a,b,66988,a),rewrite([409(6),22924(6)])]. 67062 (x * T(T(x,y),y)) \ 1 = T(x,y) \ (T(x,y) \ 1). [hyper(5142,a,52208,a(flip),b,66988,a),rewrite([52382(6)])]. 67063 (x * ((y * y) \ x)) \ (y * y) = x \ ((y * y) * (x \ (y * y))). [hyper(5142,a,26221,a(flip),b,66988,a),rewrite([26308(6),52(7),23536(11),49(10),23536(10)])]. 67094 (x \ (x \ 1)) \ y = (x * x) * y. [hyper(5083,a,26378,a(flip),b,66988,a),rewrite([53(6),324(5)])]. 67099 T((x * x) * (y * (x \ (x \ 1))),z) = T(T(y,z),x \ (x \ 1)). [hyper(5083,a,2467,a(flip),b,66988,a),rewrite([67007(7),58(9),67007(9)]),flip(a)]. 67122 K(x,y) * (z \ (z \ 1)) = (z * z) \ K(x,y). [hyper(295,a,2729,a,b,66988,a),rewrite([27834(5),51(3),408(2)])]. 67205 ((x * x) \ T((x * x) * y,z)) / (x \ (x \ 1)) = T(y / (x \ (x \ 1)),z). [hyper(5142,a,66988,a(flip),b,165,a),rewrite([67094(5)])]. 67207 L(x,y,z \ (z \ 1)) = x. [hyper(5142,a,66988,a(flip),b,11786,a(flip)),rewrite([66988(5),12024(4),22473(6),12443(6),66988(7),52(6)]),flip(a)]. 67214 K(x,y) * ((x * T(T(x,y),y)) \ z) = (x \ (T(x,y) \ 1)) * z. [hyper(5083,a,66988,a(flip),b,11267,a),rewrite([41657(4),5754(6)])]. 67217 T(x \ (x \ 1),y) * z = T(x * x,y) \ z. [hyper(5083,a,66988,a(flip),b,8487,a),rewrite([23975(4),5754(5),9113(5)]),flip(a)]. 67234 (x * (y \ (y \ 1))) \ ((y * y) \ x) = K(x,y * y). [para(66988(a,1),55(a,1,2)),rewrite([34328(11)])]. 67236 R(x \ (x \ 1),y,z) = x \ (x \ 1). [para(66988(a,1),57(a,1,1,1)),rewrite([23366(5),67007(3)]),flip(a)]. 67239 (x * (y \ (y \ 1))) / ((y * y) \ x) = K(y * y,x). [para(66988(a,1),80(a,1,2)),rewrite([23975(11)])]. 67249 T(x,y * (z \ (z \ 1))) = T(x,y / (z * z)). [para(66988(a,1),262(a,1,2,1)),rewrite([36357(4)]),flip(a)]. 67250 T(x,y / (z * z)) = T(x,z \ (z \ y)). [para(66988(a,1),262(a,2,2)),rewrite([36711(9),51(7),408(6),67249(5),12024(6)])]. 67260 ((x * (K(y,z) * x)) \ K(z,y)) * u = (x \ (K(z,y) * (x \ K(z,y)))) * u. [para(7724(a,1),66988(a,2,1)),rewrite([11961(6),49(5),11961(5),43538(12),5754(11),22699(12)]),flip(a)]. 67261 (x * (y \ (y \ 1))) * z = x * ((y * y) \ z). [para(66988(a,1),9670(a,1,1)),rewrite([23975(6),24022(6),34328(12),564(11)]),flip(a)]. 67275 a(x,y \ (y \ 1),z) = 1. [para(66988(a,1),7337(a,1,2,2)),rewrite([67261(5),335(7)]),flip(a)]. 67282 L(x,y \ (y \ 1),z) = x. [para(66988(a,1),21231(a,1,2)),rewrite([28101(5),321(2)]),flip(a)]. 67315 x / (y \ (y \ 1)) = x * (y * y). [para(66988(a,2),57662(a,1,2,1)),rewrite([49(5),321(5)])]. 67318 x * ((x * x) \ R((x * x) * y,z,u)) = x \ R(x * (x * y),z,u). [para(66988(a,1),61406(a,1,2)),rewrite([67094(5),62681(14)])]. 67338 (x \ (((y * y) \ z) * z)) / (z * z) = x \ (y \ (y \ 1)). [back_rewrite(66201),rewrite([67007(9)])]. 67339 (x \ 1) / (y * y) = x \ (y \ (y \ 1)). [back_rewrite(66189),rewrite([67007(7)])]. 67344 (x \ (y \ (y \ 1))) * (x \ (y \ (y \ 1))) = x \ ((y * y) \ (1 / ((y * y) * x))). [back_rewrite(65868),rewrite([67007(3),67007(7)])]. 67408 T(x \ (x \ 1),y) \ z = T(x * x,y) * z. [back_rewrite(48199),rewrite([67007(3)])]. 67437 1 / T(x * x,y) = T(x \ (x \ 1),y). [back_rewrite(34230),rewrite([67007(7)])]. 67444 T(x * x,y) \ 1 = T(x \ (x \ 1),y). [back_rewrite(32659),rewrite([67007(7)])]. 67457 L(x,y \ (z \ (z \ 1)),u) = L(x,y,u). [back_rewrite(28114),rewrite([67007(3)])]. 67472 K(x * x,y) * ((x * x) \ R(y,z,u)) = R(y,z,u) * (x \ (x \ 1)). [back_rewrite(24035),rewrite([67007(10)])]. 67477 R(x,y \ (y \ 1),z) = x. [back_rewrite(23582),rewrite([67007(3)])]. 67495 (1 / x) / x = x \ (x \ 1). [back_rewrite(23365),rewrite([67007(6)])]. 67502 1 / (x * x) = x \ (x \ 1). [back_rewrite(23191),rewrite([67007(6)])]. 67520 (1 / ((x * x) \ y)) \ ((y \ ((x * x) * (y \ (x * x)))) * z) = y \ ((x * x) * z). [back_rewrite(64713),rewrite([67063(9)])]. 67530 ((x \ ((y * y) * (x \ (y * y)))) * z) * u = (x \ ((y * y) * (x \ (y * y)))) * (z * u). [back_rewrite(26313),rewrite([67063(5),67063(12)])]. 67531 (x * ((y * y) \ x)) \ ((y * y) * z) = (x \ ((y * y) * (x \ (y * y)))) * z. [back_rewrite(26308),rewrite([67063(11)])]. 67551 T((x * x) * y,(x * x) * z) = T(y * (x * x),z). [back_rewrite(67205),rewrite([67315(9),22655(7),22841(5),67315(9)])]. 67556 (x \ (K(y,z) * (x \ K(y,z)))) * x = K(y,z) * (1 / (K(z,y) * x)). [back_rewrite(43632),rewrite([67260(6)])]. 67625 (x * x) \ K(y,z) = x \ (x \ K(y,z)). [hyper(5083,a,67007,a,b,12748,a),rewrite([41657(6),11427(5),77(4),408(3),67007(4),5754(5),67122(5),54611(8),9602(9),10948(9),31850(7)])]. 67626 1 / (x * T(x,y)) = x \ (T(x,y) \ 1). [hyper(5083,a,67007,a,b,9113,a),rewrite([41657(4),67062(6),5754(7),67122(7),41657(3),52245(5)])]. 67632 (x * (K(y,z) * x)) \ K(z,y) = x \ (K(z,y) * (x \ K(z,y))). [hyper(5081,a,11961,a(flip),b,67007,a),rewrite([11961(5),49(4),7724(10),43538(12),5754(11),49(11)]),flip(a)]. 67634 x * (1 / (1 / x)) = (1 / x) \ x. [hyper(295,a,26452,a,b,67007,a),rewrite([26414(8),28057(6),28083(6),34323(4),340(11)])]. 67635 (x \ 1) \ (x \ (x \ 1)) = 1 / x. [hyper(7088,a,67007,a(flip),b,61780,a),rewrite([31412(5)]),flip(a)]. 67645 (x \ 1) * a(x,x,x) = 1 / x. [para(67007(a,2),197(a,1,2,2)),rewrite([67007(5),23975(6),369(4),65871(7),51(8)])]. 67655 x * ((x \ 1) \ 1) = (1 / x) \ x. [para(340(a,1),67007(a,2,2)),rewrite([61772(5),64765(5)])]. 67684 (x \ 1) \ ((x \ 1) \ 1) = (1 / x) \ x. [para(31938(a,2),67007(a,1,1)),rewrite([31938(7),62160(5),64765(5),67655(5)]),flip(a)]. 67715 (x \ 1) \ (x * y) = (x * x) * y. [para(67007(a,2),60487(a,1,1,1)),rewrite([67007(3),67094(4),67282(6)]),flip(a)]. 67717 (x \ 1) * R((x * x) * y,z,u) = x \ R(x * (x * y),z,u). [para(67007(a,2),61406(a,1,2,1)),rewrite([67007(3),67094(7),66988(7),67318(6),67715(10)]),flip(a)]. 67809 L(x,y,z) * (u \ (u \ K(w,v5))) = L(x * (u \ (u \ K(w,v5))),y,z). [back_rewrite(49712),rewrite([67625(4),67625(8)])]. 67849 K(x,y) / (z * z) = z \ (z \ K(x,y)). [back_rewrite(39007),rewrite([67625(6)])]. 67927 (x * (K(y,z) * ((u * u) \ w))) / w = x * (u \ (u \ K(y,z))). [back_rewrite(38839),rewrite([67625(9)])]. 67956 (x * (y \ (y \ K(z,u)))) * w = x * (K(z,u) * ((y * y) \ w)). [back_rewrite(38651),rewrite([67625(3)])]. 67958 (x \ (x \ K(y,z))) * u = K(y,z) * ((x * x) \ u). [back_rewrite(38386),rewrite([67625(3)])]. 67970 (x \ (T(x,y) \ 1)) * z = (x * T(x,y)) \ z. [back_rewrite(52372),rewrite([67626(4)])]. 67977 L((1 / x) \ x,x,x) = (1 / x) \ x. [back_rewrite(34323),rewrite([67634(9)])]. 67987 T(x * x,x) = (1 / x) \ x. [back_rewrite(65944),rewrite([67655(7)])]. 67990 K(x,y) * ((x * T(T(x,y),y)) \ z) = (x * T(x,y)) \ z. [back_rewrite(67214),rewrite([67970(11)])]. 68035 a(x,y,z) \ (((a(x,y,z) \ u) \ 1) \ u) = (a(x,y,z) \ u) * (a(x,y,z) \ u). [hyper(5083,a,67715,a,b,19228,a(flip)),rewrite([6592(9)])]. 68041 T(x * x,y) * (y \ z) = y \ ((x * x) * z). [hyper(5081,a,50010,a,b,67715,a),rewrite([67715(11),23779(9)])]. 68047 a(x,y,z) * ((a(x,y,z) \ u) * (a(x,y,z) \ u)) = ((a(x,y,z) \ u) \ 1) \ u. [hyper(5081,a,19228,a(flip),b,67715,a),rewrite([6592(15)])]. 68056 (x * x) * (K(y,z) * (x \ 1)) = T(x * K(y,z),x \ 1). [hyper(295,a,10268,a(flip),b,67715,a),flip(a)]. 68069 (x \ K(y,z)) \ (x * u) = K(z,y) * ((x * x) * u). [hyper(5083,a,67715,a(flip),b,31952,a),rewrite([5754(4)]),flip(a)]. 68073 (x * x) * (x \ y) = (x \ 1) \ y. [para(51(a,1),67715(a,1,2)),flip(a)]. 68101 (x \ (1 / x)) * y = (x \ 1) * (x \ y). [para(340(a,1),67715(a,1,1)),rewrite([62146(4),61772(9)]),flip(a)]. 68103 (a(x,y,z) * a(x,y,z)) * (x * (y * z)) = (a(x,y,z) \ 1) \ ((x * y) * z). [para(7687(a,1),67715(a,1,2)),flip(a)]. 68111 T(x,x \ 1) \ ((x \ 1) * y) = (x \ 1) * (x \ y). [para(411(a,2),67715(a,1,1)),rewrite([62160(12),68101(11)])]. 68113 (x \ a(y,z,a(u,w,v5))) \ (x * v6) = (x * x) * (a(y,z,a(u,w,v5)) \ v6). [para(67715(a,1),11964(a,2,2)),rewrite([12999(5),19409(10)])]. 68132 (x * x) * (L(1 / x,y,z) * u) = L(x,y,z) * u. [para(67715(a,1),18710(a,1,1)),rewrite([67715(6),11965(6),22473(5),22924(4),58(6),5(7),2195(6),67715(13),66445(12),50(8)])]. 68186 (T(x \ y,x) / (y / x)) * z = x * ((T(x \ y,x) \ y) \ z). [para(41920(a,2),67715(a,2,1)),rewrite([5754(4),49(4),5754(6),52864(6),3850(4),168(9)]),flip(a)]. 68196 K(x,K(y,T(z,u) * w)) = K(x,K(y,w * z)). [para(67715(a,1),44473(a,1,2,2,1)),rewrite([5(3),56568(5),38673(5),48771(10),56597(8)]),flip(a)]. 68212 L(R((x * x) * y,z,u),x,x) = R(x * (x * y),z,u). [para(67715(a,1),60829(a,1,1,1)),rewrite([28083(6),324(8)])]. 68213 T(x,(y * y) * z) = T(x,y * (y * z)). [para(67715(a,1),60848(a,1,2)),rewrite([324(7)])]. 68216 (x \ 1) * (R(x \ 1,y,z) * ((x * x) * u)) = R(x \ 1,y,z) * (x * u). [para(67715(a,1),62761(a,1,2,2))]. 68319 (x \ 1) * (x \ L(y,z,u)) = L((x \ 1) * (x \ y),z,u). [back_rewrite(66008),rewrite([68101(5),68101(9)])]. 68326 ((x \ 1) * (x \ y)) \ z = y \ (x * ((x \ 1) \ z)). [back_rewrite(65957),rewrite([68101(4)])]. 68330 ((x \ 1) * (x \ y)) / ((x \ 1) * y) = R(x \ 1,x \ 1,y). [back_rewrite(65903),rewrite([68101(4)])]. 68331 (x * (y \ (1 / y))) * z = x * ((y \ 1) * (y \ z)). [back_rewrite(65897),rewrite([68101(9)])]. 68332 ((x \ 1) * (x \ y)) * z = (x \ 1) * (x \ (y * z)). [back_rewrite(65896),rewrite([68101(4),68101(10)])]. 68337 L(x,y,z) * ((x \ 1) * (x \ u)) = L(1 / x,y,z) * u. [back_rewrite(62425),rewrite([68101(5)])]. 68361 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,z * (u * v5))). [back_rewrite(56590),rewrite([68196(9),56568(8),56616(8),64616(6)]),flip(a)]. 68380 T((x * x) * y,x * (x * z)) = T(y * (x * x),z). [back_rewrite(67551),rewrite([68213(5)])]. 68395 T(x,a(y,z,a(u,w,v5)) \ v6) = T(x,v6). [back_rewrite(60382),rewrite([68213(8),12867(6),41588(5)])]. 68536 T(x,y * (y * T(z,u))) = T(x,T((y * y) * z,u)). [back_rewrite(23895),rewrite([68213(4)])]. 68545 T(x,y * (y * a(z,u,w))) = T(x,y * y). [back_rewrite(23791),rewrite([68213(4)])]. 68576 T(T(x,y),z * z) = T(x,z * (z * y)). [back_rewrite(22841),rewrite([68213(6)])]. 68577 T(T(x,y * y),z) = T(x,y * (y * z)). [back_rewrite(22819),rewrite([68213(6)])]. 68606 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [back_rewrite(44470),rewrite([68361(5),38673(4)]),flip(a)]. 68656 K(x,K(y,z * T(u,w))) = K(x,K(y,z * u)). [back_rewrite(44551),rewrite([68606(5),43978(3)]),flip(a)]. 68739 (x * x) \ ((1 / x) \ x) = K(x,x \ 1). [hyper(5083,a,67007,a,b,68073,a),rewrite([62160(6),64765(6),67655(6),11655(10)])]. 68740 (1 / x) * L(x \ 1,y,z) = x \ L(x \ 1,y,z). [hyper(5083,a,64245,a,b,68073,a),rewrite([64245(7),64090(7),22473(6),22924(2)])]. 68750 x / T(y \ 1,y * x) = (y \ 1) \ x. [hyper(5081,a,2244,a,b,68073,a),rewrite([60848(6),324(5),68073(8)])]. 68757 (x * x) * (a(a(y,z,u),w,v5) \ (x \ v6)) = (x \ a(a(y,z,u),w,v5)) \ v6. [hyper(295,a,29178,a(flip),b,68073,a),rewrite([28754(4),30953(10),28984(11),29178(6),30953(11),49(10)])]. 68760 (x * ((y * y) * x)) * (x \ z) = (x \ 1) \ ((y * y) * z). [hyper(295,a,315,a(flip),b,68073,a),rewrite([6(3),20865(7),51(8),20865(9),23536(10)])]. 68800 (x * x) * ((x \ y) * z) = ((x \ 1) \ y) * z. [para(68073(a,1),5(a,1,1)),flip(a)]. 68801 (x \ (y \ (y \ 1))) \ z = (y * y) * ((x \ 1) \ z). [para(5(a,1),68073(a,1,1)),rewrite([11965(8),5(9),68760(8),51(7),11965(9),67007(8)]),flip(a)]. 68805 ((x * y) \ 1) \ (y * x) = (x * y) * (y * x). [para(55(a,1),68073(a,1,2)),rewrite([7726(5),7726(4),149(3),410(3)]),flip(a)]. 68810 (x \ y) * K(x * x,x \ y) = ((x \ 1) \ y) / (x * x). [para(68073(a,1),147(a,1,1)),flip(a)]. 68811 K((1 / x) * y,z) = K(x \ y,z). [para(68073(a,1),171(a,1,1,1)),rewrite([23493(6),66542(6),22924(2),2739(8)])]. 68832 (x \ 1) * (x \ ((1 / x) \ y)) = x \ y. [para(340(a,1),68073(a,2,1)),rewrite([61772(5),68101(7)])]. 68844 (x \ 1) * (x \ ((x \ 1) \ y)) = T(x,x \ 1) \ y. [para(411(a,2),68073(a,2,1)),rewrite([62160(5),68101(7)])]. 68847 (x \ y) \ ((x * x) \ z) = ((x \ 1) \ y) \ z. [para(68073(a,1),11892(a,2,1)),rewrite([320(7)])]. 68848 a((x \ 1) \ y,z,u) = a(x \ y,z,u). [para(68073(a,1),12550(a,1,1)),rewrite([13798(8)])]. 68852 a(x,(y \ 1) \ z,u) = a(x,y \ z,u). [para(68073(a,1),13777(a,1,2))]. 68865 (x \ 1) \ T(x * (y * (x \ 1)),z) = (x * x) * (T(y,z) * (x \ 1)). [para(2467(a,1),68073(a,1,2)),flip(a)]. 68872 ((x * x) \ y) * ((x \ 1) \ z) = T(y,x * x) * (x \ z). [para(68073(a,1),22936(a,1,2))]. 68874 a(x,y,(z \ 1) \ u) = a(x,y,z \ u). [para(68073(a,1),24265(a,1,1,2,2)),rewrite([321(11),315(10),68073(9),54(11),321(9),13980(8)])]. 68875 L(x,(y \ 1) \ z,u) = L(x,y \ z,u). [para(68073(a,1),24266(a,1,1,2)),rewrite([321(9),6(9),68800(8),56(10),321(7),25321(8)])]. 68878 L(x,y * ((z \ 1) \ u),w) = L(x,y * (z \ u),w). [para(68073(a,1),25672(a,1,2,2))]. 68881 (x \ 1) \ (a(a(y,z,u),w,v5) \ v6) = (x \ a(a(y,z,u),w,v5)) \ v6. [para(28887(a,2),68073(a,1,2)),rewrite([68757(6)]),flip(a)]. 68883 ((x \ 1) \ y) * (a(a(z,u,w),v5,v6) \ v7) = ((x \ a(a(z,u,w),v5,v6)) \ y) * v7. [para(68073(a,1),29178(a,2,1)),rewrite([68757(6)]),flip(a)]. 68893 ((x / y) \ 1) \ (y \ x) = (y \ x) * (x / y). [para(3776(a,1),68073(a,1,2)),rewrite([7726(6),42661(5),2244(4),4841(3)]),flip(a)]. 68903 (x * x) * (K(y,z) * (x \ u)) = (x \ K(z,y)) \ u. [para(68073(a,1),10794(a,1,2)),rewrite([2739(3),31968(5)]),flip(a)]. 68908 x * (((x \ y) \ y) \ z) = K(x \ y,x) * z. [para(41920(a,2),68073(a,1,1)),rewrite([168(4),5754(7),68186(8),33918(7),5754(8),49(8),5754(7)])]. 68914 a((((x \ 1) \ y) * z) * u,w,v5) = a(((x \ y) * z) * u,w,v5). [para(68073(a,1),46702(a,1,1,1,1)),rewrite([6(10),46787(12)])]. 68915 a(x * (((y \ 1) \ z) * u),w,v5) = a(((y \ z) * u) * x,w,v5). [para(68073(a,1),46702(a,2,1,2,1)),rewrite([6(4),46789(6)]),flip(a)]. 68916 a(x * ((y \ 1) \ z),u,w) = a(x * (y \ z),u,w). [para(68073(a,1),46819(a,1,1,2)),rewrite([12686(10)])]. 68917 a(x * (y * ((z \ 1) \ u)),w,v5) = a(((z \ u) * y) * x,w,v5). [para(68073(a,1),46819(a,2,1,2,2)),rewrite([6(4),46787(6)]),flip(a)]. 68934 L(((x \ 1) \ y) \ z,x \ y,x) = y \ ((x \ 1) * z). [para(68073(a,2),60487(a,1,1,1)),rewrite([68073(3),26414(10),68875(8)])]. 68937 (x * L(x \ 1,y,z)) * (K(u,w) * v5) = (x * L(x \ K(u,w),y,z)) * v5. [para(68073(a,2),64085(a,1,1,2)),rewrite([68073(7),66797(8),64090(11)]),flip(a)]. 68966 K(x * (1 / y),T(z,y)) = K(y \ x,z). [back_rewrite(27897),rewrite([68811(9)])]. 68984 a(x,(y \ K(z,u)) \ w,v5) = a(x,y \ w,v5). [back_rewrite(44410),rewrite([68852(8)])]. 69015 T(x * K(y,z),x \ 1) = (x \ K(z,y)) \ 1. [back_rewrite(68056),rewrite([68903(6)]),flip(a)]. 69025 a(((x \ y) * R(x \ 1,z,u)) * x,w,v5) = a(R(x \ 1,z,u) * y,w,v5). [back_rewrite(63176),rewrite([68917(9)])]. 69042 a(((x \ 1) \ y) * z,u,w) = a(z * (x \ y),u,w). [hyper(295,a,12550,a,b,68916,a)]. 69057 a(x * (y \ ((z * z) \ u)),w,v5) = a(x * (y \ u),w,v5). [para(11965(a,1),68916(a,1,1,2,1)),rewrite([67007(3),68801(5),68917(7),6(4),12650(5),11965(6)]),flip(a)]. 69076 a(x * (a(y,a(z,u,w),v5) \ v6),v7,v8) = a(x * (v6 \ a(y,a(z,u,w),v5)),v7,v8). [para(62478(a,1),68916(a,2,1,2)),rewrite([62478(5),62651(5),49(4)]),flip(a)]. 69077 a(x * (a(y,a(z,u,w),v5) \ v6),v7,v8) = a(x * (a(y,a(z,u,w),v5) * v6),v7,v8). [para(62478(a,2),68916(a,1,1,2,1)),rewrite([336(4),62651(5),324(5)]),flip(a)]. 69087 a(x * (y \ a(z,a(u,w,v5),v6)),v7,v8) = a(x * (a(z,a(u,w,v5),v6) * y),v7,v8). [back_rewrite(69076),rewrite([69077(5)]),flip(a)]. 69139 (x \ y) \ (x \ (x \ 1)) = ((x \ 1) \ y) \ 1. [hyper(5142,a,68847,a,b,62166,a),rewrite([22473(4),67338(7)])]. 69150 ((x \ 1) \ y) \ L((x \ 1) \ y,z,u) = (x \ y) \ L(x \ y,z,u). [hyper(5081,a,64245,a,b,68847,a),rewrite([64245(8),25944(15),66364(14),50(11)])]. 69152 (x \ y) \ (((x * x) \ z) * u) = ((x \ 1) \ y) \ (z * u). [hyper(5081,a,60487,a,b,68847,a),rewrite([60487(10),22473(9)]),flip(a)]. 69154 (x \ y) \ (K(z,u) * ((x * x) \ w)) = ((x \ K(z,u)) \ y) \ w. [hyper(5081,a,44061,a,b,68847,a),rewrite([60848(10),61983(11),48546(6),22473(9),67625(8),67958(9)]),flip(a)]. 69234 (((x \ 1) \ y) \ z) * a(u,w,a(v5,v6,v7)) = ((x \ a(u,w,a(v5,v6,v7))) \ y) \ z. [para(12822(a,2),68847(a,1,1)),rewrite([31036(7),68847(4),13043(13)])]. 69237 ((x \ 1) \ y) * (((x \ a(z,u,a(w,v5,v6))) \ y) \ v7) = v7 * a(z,u,a(w,v5,v6)). [para(68847(a,2),8271(a,1,2,1)),rewrite([68847(7),69234(10)])]. 69245 ((x \ 1) \ y) \ T(T(z,u),x \ (x \ 1)) = (x \ y) \ (T(z,u) * (x \ (x \ 1))). [para(2467(a,1),68847(a,1,2)),rewrite([67007(5),67007(14),67099(17)]),flip(a)]. 69318 ((x \ 1) \ y) \ (x * z) = (x \ y) \ ((1 / x) * z). [para(382(a,2),68847(a,1,2)),rewrite([60426(3)]),flip(a)]. 69321 x * ((x * x) \ y) = (x \ 1) * y. [para(68847(a,1),60809(a,1,1)),rewrite([61578(6)]),flip(a)]. 69328 (x \ y) \ L((x * x) \ z,u,w) = ((x \ 1) \ y) \ L(z,u,w). [para(62148(a,1),68847(a,1,2)),rewrite([67007(4),66988(6),25944(4),320(11)])]. 69337 K(x,x \ 1) * ((x * x) \ y) = ((1 / x) \ x) \ y. [para(67007(a,2),68847(a,2,1)),rewrite([11655(5),5754(6),64714(3),62160(11),64765(11),67655(11)])]. 69340 ((x \ 1) \ 1) \ 1 = 1 / x. [back_rewrite(67635),rewrite([69139(6)])]. 69364 a(x * (y * ((z \ 1) * u)),w,v5) = a(x * ((u * z) * y),w,v5). [back_rewrite(50850),rewrite([69321(3)])]. 69419 L(x,y \ ((z * z) \ u),w) = L(x,y \ u,w). [para(11965(a,1),68875(a,1,2,1)),rewrite([67007(3),68801(5),68878(6),25450(4),11965(5)]),flip(a)]. 69440 L(x,y \ L(y \ 1,z,u),w) = L(x,y * L(y \ 1,z,u),w). [para(63806(a,2),68875(a,1,2)),rewrite([63806(8),64090(6)]),flip(a)]. 69441 L(x,((y \ 1) \ z) \ u,w) = L(x,(y \ z) \ u,w). [para(68847(a,1),68875(a,2,2)),rewrite([69419(7),68875(5)]),flip(a)]. 69459 a(x \ ((y * y) \ z),u,w) = a(x \ z,u,w). [para(11965(a,1),68848(a,1,1,1)),rewrite([67007(3),68801(5),68916(6),11958(4),11965(5)]),flip(a)]. 69469 a((T(x,y) * z) \ u,w,v5) = a((x * z) \ u,w,v5). [para(52208(a,1),68848(a,2,1)),rewrite([18893(8),68848(6)])]. 69472 a(((x \ 1) \ y) \ z,u,w) = a((x \ y) \ z,u,w). [para(68847(a,1),68848(a,2,1)),rewrite([69459(7),68848(5)]),flip(a)]. 69477 a(x \ ((y * y) * z),u,w) = a(x \ z,u,w). [para(50(a,1),69472(a,1,1,1)),rewrite([61822(6),23536(5)]),flip(a)]. 69493 a(((1 / x) \ y) \ z,u,w) = a((x \ y) \ z,u,w). [para(340(a,1),69472(a,1,1,1,1)),flip(a)]. 69496 a((x \ ((y * y) \ z)) \ u,w,v5) = a((x \ z) \ u,w,v5). [para(11965(a,1),69472(a,1,1,1,1)),rewrite([67007(3),68801(5),11965(6),69459(7),69472(5),11965(6)]),flip(a)]. 69537 a(x,(y * z) \ ((u * u) * w),v5) = a(x,(y * z) \ w,v5). [para(11968(a,1),68852(a,1,2,1)),rewrite([23536(6),68852(7),11968(9),13911(10)])]. 69550 a(x,(y * (1 / z)) \ u,w) = a(x,(y * z) \ u,w). [back_rewrite(52698),rewrite([69537(5)]),flip(a)]. 69589 a(x \ (((y * y) \ z) * u),w,v5) = a(x \ (z * u),w,v5). [para(22473(a,1),69459(a,1,1,2))]. 69591 a(x \ (1 / y),z,u) = a(x \ y,z,u). [para(22924(a,1),69459(a,1,1,2))]. 69663 L(x \ 1,y,z) \ (x \ L(x,y,z)) = T(x,x \ 1). [hyper(7088,a,18710,a(flip),b,69321,a),rewrite([25944(7),66364(6),50(2),6174(4),25944(10),66364(9),50(5),63806(10)]),flip(a)]. 69856 (x * x) \ a(y,z,a(u,w,v5)) = x \ (x \ a(y,z,a(u,w,v5))). [hyper(5083,a,8271,a,b,69321,a),rewrite([32548(6),51(5)]),flip(a)]. 69863 (x * x) \ T((x \ 1) \ y,z) = x \ (x \ T(x * y,z)). [hyper(5083,a,165,a,b,69321,a),rewrite([165(7),219(7)]),flip(a)]. 69868 x \ (R(x \ 1,y,z) * u) = R(1 / x,y,z) * (x \ u). [hyper(5083,a,62761,a(flip),b,69321,a),rewrite([22473(14),68872(14),61(10),61776(9)])]. 69869 x \ (x \ (y * y)) = ((x * x) \ y) * y. [hyper(5083,a,62166,a(flip),b,69321,a),rewrite([22473(6)])]. 69874 x \ (x \ L(x,y,z)) = L(x \ 1,y,z). [hyper(5083,a,18710,a(flip),b,69321,a),rewrite([63806(4),25944(10),66364(9),50(5)])]. 69875 T(R(x,y,z) \ 1,x) = 1 / R(x,y,z). [hyper(5083,a,16894,a(flip),b,69321,a),rewrite([5550(6),64714(5),197(6),1816(4),65038(5),22924(9)])]. 69911 x * L((x * x) \ y,z,u) = (x \ 1) * L(y,z,u). [hyper(5081,a,62148,a,b,69321,a),rewrite([62148(3),25944(7)]),flip(a)]. 69926 x * (((x * x) \ y) * z) = (x \ 1) * (y * z). [hyper(5081,a,9213,a,b,69321,a),rewrite([9213(8),22473(7)]),flip(a)]. 69927 (x \ 1) * (y * a(z,u,a(w,v5,v6))) = (x \ a(z,u,a(w,v5,v6))) * y. [hyper(5081,a,8362,a,b,69321,a),rewrite([13033(6),16927(9),69926(10)]),flip(a)]. 69930 x \ L(x * y,z,u) = x * L(x \ y,z,u). [hyper(5081,a,207,a,b,69321,a),rewrite([207(7),63805(7),25944(9),66364(8),50(5)])]. 69931 x * ((((x * x) \ y) * y) * z) = (x \ (y * y)) * z. [hyper(5081,a,6,a,b,69321,a),rewrite([62166(4),22473(7),22473(6)]),flip(a)]. 69932 x * (R(1 / x,y,z) * (x \ u)) = R(x \ 1,y,z) * u. [hyper(5081,a,62761,a(flip),b,69321,a),rewrite([22473(13),68872(13),61(9),61776(8)]),flip(a)]. 69933 x * L(x \ 1,y,z) = x \ L(x,y,z). [hyper(5081,a,18710,a(flip),b,69321,a),rewrite([63806(4),25944(9),66364(8),50(4)]),flip(a)]. 69952 x * ((x * ((y * y) * x)) \ z) = ((y * y) \ (x \ 1)) * z. [hyper(295,a,6,a(flip),b,69321,a),rewrite([6(6),20864(7),51(8),20865(9)])]. 69953 (x \ (y \ (y \ 1))) * z = (x \ 1) * ((y * y) \ z). [hyper(295,a,5,a(flip),b,69321,a),rewrite([5(6),11965(7),69952(8),325(9),11965(9),67007(8)]),flip(a)]. 70018 T(x,y) \ ((x \ 1) * z) = (x * T(x,y)) \ z. [hyper(5083,a,69321,a(flip),b,7760,a),rewrite([20984(9)])]. 70027 x * ((x \ (K(y,z) * (x \ K(y,z)))) * u) = K(y,z) * ((x \ K(y,z)) * u). [hyper(5083,a,69321,a(flip),b,7724,a(flip)),rewrite([11961(5),49(4),5754(5),7724(10),43538(11),5754(10),22699(11),67632(10)]),flip(a)]. 70039 ((x * y) * ((y * y) \ z)) / ((y \ 1) * z) = R(x,y,(y * y) \ z). [para(69321(a,1),57(a,1,2))]. 70064 a(x,y,(y * y) \ z) * (x * ((y \ 1) * z)) = (x * y) * ((y * y) \ z). [para(69321(a,1),7687(a,1,2,2))]. 70069 K(x,((y * y) \ z) * y) = K(x,z * (y \ 1)). [para(69321(a,1),7197(a,1,2,1)),rewrite([32617(5)]),flip(a)]. 70097 (x \ 1) * (a(a(y,z,u),w,v5) * v6) = (x \ a(a(y,z,u),w,v5)) * v6. [para(69321(a,2),7730(a,1,1)),rewrite([69321(5),66271(5)]),flip(a)]. 70109 L(x,(y \ (z * z)) * u,w) = L(x,y * u,w). [para(69321(a,2),25672(a,1,2)),rewrite([22473(4),22473(3),69931(5),25716(8)])]. 70114 a(a(x,y,z),u,w) \ ((v5 * (v6 \ 1)) \ v7) = (v5 * (v6 \ a(a(x,y,z),u,w))) \ v7. [para(69321(a,2),28791(a,1,1,2)),rewrite([69321(5),66271(5)]),flip(a)]. 70133 K(x,y * (z \ 1)) * z = z * K(x,(z \ 1) * y). [para(69321(a,1),39887(a,2,2,2)),rewrite([70069(4)])]. 70150 a(x * (y * (z * (u \ 1))),w,v5) = a(x * ((u * z) * y),w,v5). [para(69321(a,2),46819(a,1,1,2,1)),rewrite([69321(3),50848(6)]),flip(a)]. 70169 (a(x,a(y,z,u),w) \ 1) * v5 = a(x,a(y,z,u),w) \ v5. [para(62478(a,2),69321(a,2,1)),rewrite([62627(8),51(9),336(7)]),flip(a)]. 70170 x * (R(x,y,z) * ((x * x) \ u)) = R(x,y,z) * ((x \ 1) * u). [para(69321(a,1),63041(a,1,2)),flip(a)]. 70215 L(x,y,z) * (x \ K(u,w)) = x * L(x \ K(u,w),y,z). [back_rewrite(63923),rewrite([69930(4)]),flip(a)]. 70217 (x \ 1) * L((x \ 1) \ y,z,u) = x * L(x \ y,z,u). [back_rewrite(63805),rewrite([69930(10)])]. 70223 L(x,y \ L(y \ 1,z,u),w) = L(x,y \ L(y,z,u),w). [back_rewrite(69440),rewrite([69933(9)])]. 70227 (x * L(x \ K(y,z),u,w)) * v5 = (x \ L(x,u,w)) * (K(y,z) * v5). [back_rewrite(68937),rewrite([69933(4)]),flip(a)]. 70237 (1 / x) * L(x,y,z) = x \ L(x,y,z). [back_rewrite(64205),rewrite([69933(4),60426(3),69933(8)])]. 70240 (x \ K(y,z)) \ L(x \ 1,u,w) = K(z,y) * (x \ L(x,u,w)). [back_rewrite(64177),rewrite([69933(11)])]. 70241 (x \ 1) \ L(x \ 1,y,z) = x \ L(x,y,z). [back_rewrite(64090),rewrite([69933(10)])]. 70245 x * (y * L(y \ (x \ y),z,u)) = y * (x \ L(x,z,u)). [back_rewrite(58075),rewrite([69933(9)])]. 70258 (x \ 1) * ((y * y) \ (x \ (y \ (y \ 1)))) = x \ ((y * y) \ (1 / ((y * y) * x))). [back_rewrite(67344),rewrite([69953(9)])]. 70265 ((1 / x) \ x) \ y = (x \ 1) * (x \ y). [back_rewrite(68111),rewrite([70018(7),66316(4)])]. 70275 (x \ a(a(y,z,u),w,v5)) * (x \ 1) = a(a(y,z,u),w,v5) * (x \ (1 / x)). [back_rewrite(65987),rewrite([70097(8)])]. 70332 K(x * (y * L(y \ K(z,K(u,w)),v5,v6)),v7) = K(x * (y \ L(y,v5,v6)),v7). [back_rewrite(66738),rewrite([70215(5)])]. 70355 x * L(x \ K(x,y),z,u) = x \ L(T(x,y),z,u). [back_rewrite(66689),rewrite([70215(4)])]. 70379 K(K(x,y) * (z * (u \ L(u,w,v5))),v6) = K(z * (u * L(u \ K(x,y),w,v5)),v6). [back_rewrite(65244),rewrite([70215(10)])]. 70406 T(x * L(x \ K(y,x \ L(x,z,u)),z,u),y) = x \ L(x,z,u). [back_rewrite(64229),rewrite([70215(6)])]. 70409 (x * L(x \ K(y,z),u,w)) \ v5 = K(z,y) * ((x \ L(x,u,w)) \ v5). [back_rewrite(64121),rewrite([70215(4)])]. 70411 (x \ L(x,y,z)) * K(u,w) = x * L(x \ K(u,w),y,z). [back_rewrite(64086),rewrite([70215(8)])]. 70429 K(x,x \ 1) * ((x * x) \ y) = (x \ 1) * (x \ y). [back_rewrite(69337),rewrite([70265(10)])]. 70439 L(x \ (x \ 1),y,z) = x \ (x \ 1). [hyper(295,a,66988,a,b,69874,a),rewrite([322(6),323(6),49(5),67007(6)]),flip(a)]. 70440 L(a(x,a(y,z,u),w) \ 1,v5,v6) = a(x,a(y,z,u),w) \ 1. [hyper(295,a,62478,a,b,69874,a),rewrite([5529(7),323(7),336(4)]),flip(a)]. 70446 L(a(x,y,a(z,u,w)) \ 1,v5,v6) = a(x,y,a(z,u,w)) \ 1. [hyper(295,a,12908,a,b,69874,a),rewrite([5528(5),323(5),336(2),12913(4)]),flip(a)]. 70455 (x * y) \ L(x * y,y,x) = x * (y * ((x * y) \ 1)). [hyper(270,a,56,a,b,69874,a),flip(a)]. 70480 L(x,y,z) \ (L(x,y,z) \ L(L(x,u,w),y,z)) = L(L(x,y,z) \ 1,u,w). [para(64(a,1),69874(a,1,2,2))]. 70483 x * ((x \ L(x,y,z)) / x) = (x \ 1) * L(x,y,z). [para(69874(a,1),197(a,1,2,2)),rewrite([5537(6),64920(6),64180(5)]),flip(a)]. 70506 a(x * L((y / z) \ 1,u,w),v5,v6) = a(x * L((z \ y) \ 1,u,w),v5,v6). [para(69874(a,1),13826(a,1,1,2)),rewrite([64245(11),69874(12)])]. 70509 a(x,L((y / z) \ 1,u,w),v5) = a(x,L((z \ y) \ 1,u,w),v5). [para(69874(a,1),14805(a,1,2)),rewrite([64245(10),69874(11)])]. 70511 L(x,y,z) * (x \ a(u,w,a(v5,v6,v7))) = x * L(x \ a(u,w,a(v5,v6,v7)),y,z). [para(69874(a,1),8271(a,1,2,1)),rewrite([17022(6),12981(5),64081(10)]),flip(a)]. 70513 (x * L(a(y,z,u) \ 1,w,v5)) * a(y,z,u) = a(y,z,u) * (x * L(a(y,z,u) \ 1,w,v5)). [para(69874(a,1),19228(a,1,1,2)),rewrite([69874(14)])]. 70516 L(x,x,x) = (x \ 1) \ 1. [para(22931(a,1),69874(a,1,2)),rewrite([1816(5),3361(6),340(8)]),flip(a)]. 70526 x * (y * L(y \ (x \ 1),z,u)) = (x * y) \ L(x * y,z,u). [para(69874(a,2),24474(a,1,2)),rewrite([69874(7),69933(6)]),flip(a)]. 70543 L(x,y,L((z / u) \ 1,w,v5)) = L(x,y,L((u \ z) \ 1,w,v5)). [para(69874(a,1),42394(a,1,3)),rewrite([64245(10),69874(11)])]. 70571 (x * x) \ (x \ L(x,y,z)) = x \ L(x \ 1,y,z). [para(69874(a,1),61780(a,1,2)),rewrite([68740(6)]),flip(a)]. 70572 (x \ (y * y)) \ (x \ L(x,z,u)) = L((x \ (y * y)) \ 1,z,u). [para(69874(a,1),66364(a,1,2)),rewrite([25944(7),66364(6),70241(13)]),flip(a)]. 70574 a(x * L(y \ 1,z,u),w,v5) = a(x * L(y,z,u),w,v5). [para(69874(a,1),68916(a,2,1,2)),rewrite([63788(5),12585(6)]),flip(a)]. 70578 L(x,L(y \ 1,z,u),w) = L(x,L(y,z,u),w). [para(69874(a,1),68875(a,2,2)),rewrite([63788(5),27485(5)]),flip(a)]. 70580 a(L(x \ 1,y,z),u,w) = a(L(x,y,z),u,w). [para(69874(a,1),68848(a,2,1)),rewrite([63788(5),12547(5)]),flip(a)]. 70582 a(L((x \ 1) \ y,z,u),w,v5) = a(L(x \ y,z,u),w,v5). [para(69874(a,1),69472(a,1,1)),rewrite([70580(7),69150(14),69874(11),70580(10)])]. 70583 a(L(x \ 1,y,z) \ u,w,v5) = a(L(x,y,z) \ u,w,v5). [para(69874(a,1),69472(a,2,1,1)),rewrite([63788(5),20060(6)]),flip(a)]. 70585 a(x,L(y \ 1,z,u),w) = a(x,L(y,z,u),w). [para(69874(a,1),68852(a,2,2)),rewrite([63788(5),14785(5)]),flip(a)]. 70598 (x \ L(x,y,z)) * a(u,w,a(v5,v6,v7)) = x * L(x \ a(u,w,a(v5,v6,v7)),y,z). [back_rewrite(64081),rewrite([70511(10)])]. 70606 a(x * L(y / z,u,w),v5,v6) = a(x * L(z \ y,u,w),v5,v6). [back_rewrite(70506),rewrite([70574(6),70574(10)])]. 70628 a(L(x,x,y \ z) \ (z / y),u,w) = a((y \ z) * x,u,w). [back_rewrite(59174),rewrite([70583(7)])]. 70632 a(x,L(y / z,u,w),v5) = a(x,L(z \ y,u,w),v5). [back_rewrite(70509),rewrite([70585(5),70585(8)])]. 70646 a(L(x \ (a(a(y,z,u),w,v5) * v6),v7,v8),v9,v10) = a(L(x \ v6,v7,v8),v9,v10). [hyper(5081,a,20152,a(flip),b,70606,a),rewrite([70606(9),31146(8)]),flip(a)]. 70655 a(L(x / y,z,u) * w,v5,v6) = a(L(y \ x,z,u) * w,v5,v6). [para(6(a,1),70606(a,1,1)),rewrite([25954(4),46957(6),6(9),25954(8),46957(10)])]. 70657 a(x * L(L(1 / (1 / y),z,u),w,v5),v6,v7) = a(x * L(L(y,z,u),w,v5),v6,v7). [para(88(a,1),70606(a,1,1,2,1)),rewrite([340(13)])]. 70668 a(x * L(y * K(z,u),w,v5),v6,v7) = a(x * L(y,w,v5),v6,v7). [para(9510(a,1),70606(a,1,1,2,1)),rewrite([5754(7),26470(10)])]. 70699 L(T(a(x,a(y,z,u),w) \ 1,v5),v6,v7) = T(a(x,a(y,z,u),w) \ 1,v5). [para(70440(a,1),60(a,1,1)),flip(a)]. 70705 a(x,a(y,z,u),w) \ T(v5,a(x,a(y,z,u),w) \ 1) = v5 * (a(x,a(y,z,u),w) \ 1). [para(70440(a,1),6488(a,2,2)),rewrite([70699(11),8513(11),70169(10),62606(9)])]. 70707 (1 / x) \ (a(y,a(z,u,w),v5) \ 1) = x * (a(y,a(z,u,w),v5) \ 1). [para(70440(a,1),22931(a,1,2))]. 70720 (x * (y * z)) \ (x * (y * (a(u,w,a(v5,v6,v7)) \ z))) = a(u,w,a(v5,v6,v7)) \ 1. [hyper(295,a,24266,a,b,70446,a),rewrite([41588(9),17073(7),380(8)])]. 70732 a(x,y,a(z,u,w)) * R(v5,v6,v7) = R(v5 * a(x,y,a(z,u,w)),v6,v7). [para(70446(a,2),61406(a,1,2,1)),rewrite([70446(7),31036(11),324(8),19395(11),65394(10),58(9),561(6),48(5),16927(10),324(7),48(10)])]. 70769 ((x \ 1) * (x \ (y * z))) / z = (x \ 1) * (x \ y). [hyper(5142,a,69321,a,b,68332,a),rewrite([69321(5)])]. 70948 x \ (y * (z * a(u,a(w,v5,v6),v7))) = (x \ (y * z)) * a(u,a(w,v5,v6),v7). [hyper(5083,a,7734,a,b,68332,a(flip)),rewrite([68332(7),7734(10),50(11)]),flip(a)]. 70949 x \ (y * (z * a(a(u,w,v5),v6,v7))) = (x \ (y * z)) * a(a(u,w,v5),v6,v7). [hyper(5083,a,7733,a,b,68332,a(flip)),rewrite([68332(7),7733(10),50(11)]),flip(a)]. 70950 x \ (y * (a(a(z,u,w),v5,v6) * v7)) = a(a(z,u,w),v5,v6) * (x \ (y * v7)). [hyper(5083,a,7730,a,b,68332,a(flip)),rewrite([7733(9),20189(10),68332(9),20145(11)]),flip(a)]. 70953 x \ (y * (z * (u * u))) = (x \ (y * z)) * (u * u). [hyper(5083,a,7,a,b,68332,a(flip)),rewrite([68332(7),7(9),50(10)]),flip(a)]. 70964 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(5083,a,7750,a(flip),b,68332,a(flip)),rewrite([50(9)]),flip(a)]. 70965 x \ (y * a(z,a(u,w,v5),v6)) = (x \ y) * a(z,a(u,w,v5),v6). [hyper(5083,a,7734,a(flip),b,68332,a(flip)),rewrite([50(10)]),flip(a)]. 70966 x \ (y * a(a(z,u,w),v5,v6)) = (x \ y) * a(a(z,u,w),v5,v6). [hyper(5083,a,7733,a(flip),b,68332,a(flip)),rewrite([50(10)]),flip(a)]. 70971 x \ (y * (z * z)) = (x \ y) * (z * z). [hyper(5083,a,7,a(flip),b,68332,a(flip)),rewrite([50(9)]),flip(a)]. 71013 T((x \ 1) * (x \ y),x \ 1) = x \ (y * (x \ 1)). [hyper(266,a,410,a,b,68332,a(flip))]. 71022 ((x \ 1) * (x \ ((y * z) * u))) / (z * u) = R((x \ 1) * (x \ y),z,u). [para(68332(a,1),57(a,1,1,1)),rewrite([68332(6)])]. 71063 (x \ (y * (1 / (y \ x)))) * z = ((y \ x) \ 1) * ((y \ x) \ z). [para(3361(a,2),68332(a,1,1,2)),rewrite([3361(7),62160(7),66085(5),48(12)])]. 71204 x \ (a(a(y,z,u),w,v5) * (v6 * v7)) = a(a(y,z,u),w,v5) * (x \ (v6 * v7)). [back_rewrite(60822),rewrite([70950(10)])]. 71244 (x \ 1) * a(y,z,y) = x \ a(y,z,y). [back_rewrite(66270),rewrite([70964(5),58(6),561(4)]),flip(a)]. 71320 x \ a(x,x,x) = 1 / x. [back_rewrite(67645),rewrite([71244(4)])]. 71334 (R(x,y,z) \ 1) \ 1 = R(1 / (1 / x),y,z). [hyper(5081,a,89,a(flip),b,69340,a),rewrite([340(10)]),flip(a)]. 71335 (L(x,y,z) \ 1) \ 1 = L(1 / (1 / x),y,z). [hyper(5081,a,88,a(flip),b,69340,a),rewrite([340(10)]),flip(a)]. 71337 1 / (1 / x) = (x \ 1) \ 1. [hyper(271,a,340,a,b,69340,a)]. 71342 ((x \ 1) \ 1) \ K(y,z) = (1 / x) * K(y,z). [hyper(5142,a,69340,a(flip),b,31701,a),rewrite([9510(4)]),flip(a)]. 71344 ((x \ 1) \ K(y,z)) \ 1 = K(z,y) * (1 / x). [hyper(5083,a,69340,a(flip),b,31952,a),rewrite([5754(4)]),flip(a)]. 71348 ((x \ 1) \ 1) \ T(((x \ 1) \ 1) * y,z) = (1 / x) * T((1 / x) \ y,z). [para(69340(a,1),219(a,1,1)),rewrite([69340(8)]),flip(a)]. 71360 1 / (K(x,y) * z) = (1 / z) * K(y,x). [para(11961(a,1),69340(a,1,1,1)),rewrite([49(3),57871(6),71342(6)]),flip(a)]. 71362 ((x \ 1) \ 1) \ a(y,z,a(u,w,v5)) = a(y,z,a(u,w,v5)) * (1 / x). [para(69340(a,1),12981(a,1,2)),flip(a)]. 71364 L((x \ 1) \ 1,y,z) * (1 / x) = x \ L(x,y,z). [para(69340(a,1),18710(a,1,1)),rewrite([69340(8),340(6),70237(4),69340(13)]),flip(a)]. 71366 ((x \ 1) \ a(a(y,z,u),w,v5)) \ 1 = a(a(y,z,u),w,v5) \ (1 / x). [para(11962(a,1),69340(a,1,1,1)),rewrite([31153(7),49(6),29057(12)])]. 71374 1 / (x * (y * a(a(z,u,w),v5,v6))) = a(a(z,u,w),v5,v6) \ (1 / (x * y)). [para(28791(a,1),69340(a,1,1,1)),rewrite([30953(8),49(7),71366(8)]),flip(a)]. 71379 T(T(x,y),x \ 1) \ 1 = 1 / T(x,y). [para(12020(a,2),69340(a,1,1)),rewrite([49(5),7220(4)])]. 71382 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [para(69340(a,1),44029(a,1,2)),rewrite([74(6),60842(5),49(3),324(2),74(2),54201(5),54611(12),69340(10)])]. 71386 1 / (x \ K(y,z)) = K(z,y) * x. [para(31968(a,2),69340(a,1,1,1)),rewrite([31968(6),57871(6),71342(6),12023(6),340(5)]),flip(a)]. 71393 L((x \ 1) \ 1,y,z) \ K(u,w) = 1 / L(K(w,u) * x,y,z). [para(27503(a,1),69340(a,1,1,1)),rewrite([49(4),57871(7),71335(5),71337(4)])]. 71397 L((1 / x) \ y,x,x) = ((x \ 1) \ 1) * y. [para(69340(a,1),60487(a,1,1,1)),rewrite([69340(9),26414(10),26414(8),28057(6),28083(6),324(11)])]. 71400 T(x,((y \ 1) \ 1) * z) = T(x,(1 / y) \ z). [para(69340(a,1),60848(a,1,2,1)),rewrite([324(11)]),flip(a)]. 71407 (1 / x) \ (((x \ 1) \ 1) * y) = (x * x) * y. [para(69340(a,1),67715(a,1,1)),rewrite([62160(17),337(14),61612(11)])]. 71425 K(x,x \ 1) * T(x,y) = T((x \ 1) \ 1,y). [back_rewrite(64914),rewrite([71337(9)])]. 71470 T((x \ 1) \ 1,(1 / x) * y) = T(x,x * y). [back_rewrite(31228),rewrite([71337(4)])]. 71522 (L(x,y,z) \ 1) \ 1 = L((x \ 1) \ 1,y,z). [back_rewrite(71335),rewrite([71337(9)])]. 71523 (R(x,y,z) \ 1) \ 1 = R((x \ 1) \ 1,y,z). [back_rewrite(71334),rewrite([71337(9)])]. 71527 a(x * L(L((y \ 1) \ 1,z,u),w,v5),v6,v7) = a(x * L(L(y,z,u),w,v5),v6,v7). [back_rewrite(70657),rewrite([71337(4)])]. 71537 T(x,x \ (x \ 1)) = (x \ 1) \ 1. [back_rewrite(65958),rewrite([71337(8)])]. 71553 1 / L(T(x,x \ 1),y,z) = L(x,y,z) \ 1. [back_rewrite(65041),rewrite([71337(4),71393(9),64714(4),168(5)])]. 71581 a(x * (L((y \ 1) \ 1,z,u) * w),v5,v6) = a(x * (L(y,z,u) * w),v5,v6). [back_rewrite(47304),rewrite([71337(4)])]. 71618 L(x \ (1 / L(y,z,u)),x,L(y,z,u)) = (L((y \ 1) \ 1,z,u) * x) \ 1. [back_rewrite(27117),rewrite([71337(10)])]. 71642 (x \ y) * K(y \ x,x \ y) = ((x \ y) \ 1) \ 1. [back_rewrite(10584),rewrite([71337(10)])]. 71644 L((x \ 1) \ 1,y,z) \ 1 = 1 / L(x,y,z). [back_rewrite(6664),rewrite([71337(4)])]. 71662 T(x \ K(y,z),x) = K(y,z) * (1 / x). [back_rewrite(59712),rewrite([71344(9)])]. 71672 (x \ (K(y,z) * (x \ K(y,z)))) * x = K(y,z) * ((1 / x) * K(y,z)). [back_rewrite(67556),rewrite([71360(11)])]. 71683 T(x \ a(y,z,a(u,w,v5)),x) = a(y,z,a(u,w,v5)) * (1 / x). [back_rewrite(59571),rewrite([71362(11)])]. 71694 ((x \ 1) \ 1) * x = (1 / x) \ x. [back_rewrite(67977),rewrite([71397(4)])]. 71732 (x \ L(x,y,z)) / L(T(x,u),y,z) = 1 / T(x,u). [hyper(5142,a,9113,a,b,70237,a),rewrite([9113(5),64035(4)])]. 71766 (1 / x) \ (a(a(y,z,u),w,v5) * (x \ L(x,v6,v7))) = L(a(a(y,z,u),w,v5) * x,v6,v7). [hyper(5083,a,11962,a(flip),b,70237,a),rewrite([29057(5),69930(12),31146(12),50(11),30953(8)])]. 71771 T(1 / x,K(y,z)) * L(T(x,K(y,z)),u,w) = x \ L(x,u,w). [hyper(5081,a,44029,a,b,70237,a),rewrite([44029(7),64035(6),71382(6)]),flip(a)]. 71772 K(x,y) * (z * L(z \ K(y,x),u,w)) = z \ L(z,u,w). [hyper(5081,a,12748,a,b,70237,a),rewrite([26458(6),9602(5),10948(5),69930(5),71382(10),71771(14)])]. 71788 L(x,y,z) * (1 / x) = (x \ 1) * L(x,y,z). [hyper(5083,a,70237,a(flip),b,13542,a),rewrite([2399(3),64714(3),5754(6),64714(3),64181(6),66946(5)]),flip(a)]. 71795 (x \ L(x,y,z)) \ ((1 / x) * (L(x,y,z) * u)) = L(u,L(x,y,z),x). [para(70237(a,1),56(a,1,1)),rewrite([26402(12),26414(12)])]. 71800 T(x,x \ 1) * L(1 / x,y,z) = x \ L(x,y,z). [para(160(a,1),70237(a,1,1)),rewrite([64714(3),149(4),64245(13),70241(13)])]. 71816 a(x,y,L(y,z,u)) * (x * (y \ L(y,z,u))) = (x * (1 / y)) * L(y,z,u). [para(70237(a,1),7687(a,1,2,2)),rewrite([14827(4),50864(4)])]. 71835 ((x \ L(x,y,z)) * u) / ((1 / x) * (L(x,y,z) * u)) = a(x,L(x,y,z),u). [para(70237(a,1),7337(a,1,1,1)),rewrite([12554(13),46610(13)])]. 71840 ((1 / x) * (L(x,y,z) * u)) / T(x \ L(x,y,z),u) = L(u,L(x,y,z),x). [para(70237(a,1),7336(a,1,2,1)),rewrite([26402(13),26414(13)])]. 71844 (x \ K(y,z)) \ ((T(z,y) * x) \ z) = K(z,y) * (x * ((T(z,y) * x) \ z)). [para(25395(a,1),70237(a,1,2)),rewrite([71386(4),7724(6),25395(11)]),flip(a)]. 71845 L(L(x,y,z) \ x,L(x,y,z),x) = (x \ L(x,y,z)) \ 1. [para(70237(a,1),26452(a,2,1)),rewrite([26414(6)])]. 71876 (1 / x) * L(T(x,y),z,u) = x \ L(T(x,y),z,u). [para(70237(a,1),13226(a,1,2)),rewrite([6159(2),64181(4),23218(9),36711(10),49(8),60(8),196(7)]),flip(a)]. 71899 1 / T(x \ y,y \ x) = (x \ y) \ 1. [back_rewrite(64348),rewrite([71732(9)])]. 71948 (x * x) * (y * (x \ (x \ 1))) = T(y,x \ (x \ 1)). [hyper(295,a,58,a(flip),b,67094,a),flip(a)]. 71977 (x * (y \ (y \ 1))) \ z = (y * y) * (x \ z). [para(67094(a,1),11892(a,1,1)),rewrite([67282(7)]),flip(a)]. 71999 x * (y \ (y \ 1)) = x / (y * y). [para(67094(a,1),57662(a,1,2,1)),rewrite([49(3),67282(5)]),flip(a)]. 72002 (x \ ((y * y) \ z)) * (y * y) = x \ T(z,y * y). [para(67094(a,2),11972(a,2,1)),rewrite([320(5),67094(7),70971(8),11965(6)]),flip(a)]. 72029 K(x \ (x \ y),x * x) = K(y,x * x). [back_rewrite(67234),rewrite([71999(4),3776(5),6385(4)])]. 72042 (x / (y * y)) \ z = (y * y) * (x \ z). [back_rewrite(71977),rewrite([71999(4)])]. 72045 (x * x) * (y / (x * x)) = T(y,x \ (x \ 1)). [back_rewrite(71948),rewrite([71999(5)])]. 72052 ((x \ 1) \ y) \ T(T(z,u),x \ (x \ 1)) = (x \ y) \ (T(z,u) / (x * x)). [back_rewrite(69245),rewrite([71999(15)])]. 72071 K(x * x,y) * ((x * x) \ R(y,z,u)) = R(y,z,u) / (x * x). [back_rewrite(67472),rewrite([71999(11)])]. 72092 (x / (y * y)) * z = x * ((y * y) \ z). [back_rewrite(67261),rewrite([71999(4)])]. 72094 K(x * x,x \ (x \ y)) = K(x * x,y). [back_rewrite(67239),rewrite([71999(4),3330(5),12016(4)])]. 72103 (x * y) \ T(x,z \ (z \ 1)) = (T(x,z * z) * y) \ x. [back_rewrite(51826),rewrite([72045(5)])]. 72153 x * (y * K(z * z,x * y)) = T(x * y,z \ (z \ 1)). [back_rewrite(22943),rewrite([72045(5)]),flip(a)]. 72222 (T(x,y * (y * z)) * u) \ T(x,z) = (T(x,y * y) * u) \ x. [hyper(5081,a,52208,a,b,72103,a),rewrite([68577(3),1039(7),2739(7),168(6),72103(12)])]. 72226 (T(1 / x,y * y) * z) \ (1 / x) = ((x * z) \ x) * K(y * y,x \ 1). [hyper(295,a,26378,a,b,72103,a),rewrite([23200(9),23975(7),41109(7)]),flip(a)]. 72244 (T(x,y) * z) \ T(T(x,u \ (u \ 1)),y) = (T(x,u * u) * z) \ x. [para(59(a,1),72103(a,1,2)),rewrite([68576(11),72222(14)])]. 72359 (x * y) \ ((y * y) * T(x,y * (y / (z * z)))) = (T(x,z * z) * (1 / y)) \ x. [para(50481(a,1),72103(a,1,1)),rewrite([68577(9),71999(7),26221(8),68576(12),72222(18)])]. 72446 (x * y) / (z * z) = x * (y / (z * z)). [hyper(5083,a,11664,a,b,72045,a),rewrite([70439(5),71999(8),67094(8),50(7)]),flip(a)]. 72495 (x \ 1) \ T(y,(1 / x) \ x) = x \ (y / (x \ (1 / x))). [hyper(5083,a,72045,a(flip),b,68332,a(flip)),rewrite([67684(9),62160(13),48(13)])]. 72497 (x * x) * (y * ((x * x) \ z)) = T(y,x \ (x \ 1)) * z. [para(72045(a,1),5(a,1,1)),rewrite([72092(9)]),flip(a)]. 72569 a(x,y,(z * z) \ u) = a(x,y,u). [para(72045(a,1),24265(a,1,1,2,2)),rewrite([321(13),315(12),72045(11),54(13),13983(5),321(7),14988(6),13980(6)]),flip(a)]. 72702 (x * y) * ((y * y) \ z) = (x * (y \ 1)) * z. [back_rewrite(70064),rewrite([72569(3),50923(6)]),flip(a)]. 72736 R(x,y,(y * y) \ z) = R(x,y \ 1,z). [back_rewrite(70039),rewrite([72702(4),57(8)]),flip(a)]. 72745 a(x,y,z \ (z \ 1)) = 1. [hyper(7049,a,72569,a,b,36,a(flip)),rewrite([67007(4),324(6)])]. 72750 a(x,y,((z * u) * z) * u) = a(x,y,a(z * u,z,u)). [para(54(a,1),72569(a,1,3)),flip(a)]. 72751 a(x,y,z * (z * u)) = a(x,y,L(u,z,z)). [para(56(a,1),72569(a,1,3)),flip(a)]. 72752 a(x,y,z * (u * u)) = a(x,y,z). [para(58(a,1),72569(a,1,3)),rewrite([13983(3)]),flip(a)]. 72770 a(x,y,z \ 1) = a(x,y,z). [para(22924(a,1),72569(a,1,3)),rewrite([14988(3)])]. 72774 a(x,y,L(L(z,u,w),w * u,w * u)) = a(x,y,(w * u) * (w * (u * z))). [para(24267(a,1),72569(a,1,3))]. 72780 a(x,y,z * ((z \ 1) \ u)) = a(x,y,u). [para(26378(a,2),72569(a,1,3)),rewrite([1816(3),5754(6),64714(3),8630(6),1599(4),66316(4),66480(4)])]. 72789 a(x,y,(1 / z) * u) = a(x,y,z * u). [para(382(a,2),72569(a,1,3)),rewrite([60426(2)])]. 72791 a(x,y,(z \ (u * u)) \ w) = a(x,y,z \ w). [para(66364(a,1),72569(a,1,3)),rewrite([68874(8)])]. 72805 a(x,L(y,z,u),y) * (x * (y \ L(y,z,u))) = (x * L(y,z,u)) * (y \ 1). [back_rewrite(64080),rewrite([72770(4)])]. 72814 (x * T(y,z * z)) * (1 / z) = (x * ((z * z) \ y)) * z. [back_rewrite(50762),rewrite([72770(3),22955(6)]),flip(a)]. 72823 a(x,y,z \ a(u,w,a(v5,v6,v7))) = a(x,y,z). [back_rewrite(24996),rewrite([72770(7)])]. 72831 R(x,T(y,z * z),1 / z) = R(x,(z * z) \ y,z). [back_rewrite(50727),rewrite([72814(6),57(8)]),flip(a)]. 72835 a(x,y,z * (u * (w * w))) = a(x,y,z * u). [para(7(a,1),72789(a,2,3)),rewrite([72752(6),14988(4),72770(4)]),flip(a)]. 72843 a(x,y,z * T(u,T(z \ 1,w))) = a(x,y,u * (1 / z)). [para(251(a,1),72789(a,1,3)),rewrite([5548(6),562(7),44462(7),48(5),562(5),13983(6),23293(8)]),flip(a)]. 72848 a(x,y,(z \ 1) * u) = a(x,y,z * u). [para(2244(a,1),72789(a,1,3,1)),rewrite([13988(9)])]. 72849 a(x,y,z * u) * (x * (y * ((1 / z) * u))) = (x * y) * ((1 / z) * u). [para(72789(a,1),7687(a,1,1))]. 72851 a(x,y,z * (a(u,w,a(v5,v6,v7)) \ v8)) = a(x,y,z * (a(u,w,a(v5,v6,v7)) * v8)). [para(8362(a,1),72789(a,2,3)),rewrite([6706(4),19395(6),19453(5),48(6)])]. 72852 a(x,y,z * (a(u,w,a(v5,v6,v7)) * v8)) = a(x,y,z * v8). [para(8362(a,2),72789(a,1,3)),rewrite([19508(7),72789(4)]),flip(a)]. 72868 a(x,y,(z * (u / z)) * w) = a(x,y,u * w). [para(7776(a,1),72789(a,2,3)),rewrite([13993(7),72789(4)]),flip(a)]. 72878 a(x,y,z * (u * a(a(w,v5,v6),v7,v8))) = a(x,y,z * u). [para(7733(a,1),72789(a,2,3)),rewrite([22402(7),14988(4),72770(4)]),flip(a)]. 72879 a(x,y,z * ((1 / z) * u)) = a(x,y,L(u,z,z)). [para(3836(a,1),72789(a,1,3)),rewrite([72848(7),61613(9)])]. 72880 a(x,y,(z \ K(u,w)) * v5) = a(x,y,z * v5). [para(31945(a,1),72789(a,2,3)),rewrite([337(4),13993(4)]),flip(a)]. 72881 a(x,y,z \ K(u,w)) = a(x,y,z). [para(31850(a,1),72789(a,2,3)),rewrite([337(4),13984(3)]),flip(a)]. 72882 a(x,y,((z * u) / z) * (z * w)) = a(x,y,u * (T(z,u) * w)). [para(32795(a,1),72789(a,2,3)),rewrite([72789(7)])]. 72889 a(x,y,z \ a(u,a(w,v5,v6),v7)) = a(x,y,z * a(u,a(w,v5,v6),v7)). [para(62164(a,1),72789(a,2,3)),rewrite([337(4)]),flip(a)]. 72892 a(x,y,z \ L(z,u,w)) = a(x,y,z * L(z,u,w)). [para(70237(a,1),72789(a,1,3))]. 72894 a(x,y,y * z) * (x * L(z,y,y)) = (x * y) * ((y \ 1) * z). [back_rewrite(62289),rewrite([72848(4)])]. 72901 a(x,y,z * (a(u,w,a(v5,v6,v7)) \ v8)) = a(x,y,z * v8). [back_rewrite(72851),rewrite([72852(10)])]. 72912 a(x,y,z * ((u * u) \ w)) = a(x,y,z * w). [para(5(a,1),72848(a,2,3)),rewrite([11965(4),67007(3),69953(5),72848(6),13938(8)])]. 72913 a(x,y,(z \ (u * u)) * w) = a(x,y,z * w). [para(6(a,2),72848(a,1,3)),rewrite([62166(4),57367(8)])]. 72916 a(x,y,z * (1 / u)) = a(x,y,z * (u \ 1)). [para(251(a,1),72848(a,1,3)),rewrite([562(7),44462(7),48(5),562(5),13983(6),72843(10)]),flip(a)]. 72920 a(x,y,z * (u * a(w,v5,a(v6,v7,v8)))) = a(x,y,z * u). [para(7735(a,1),72848(a,2,3)),rewrite([12999(6),72823(5)]),flip(a)]. 72925 a(x,y,z * a(u,w,a(v5,v6,v7))) = a(x,y,z). [para(8271(a,1),72848(a,1,3)),rewrite([72920(12),72780(9)])]. 72926 a(x,y,L(a(z,u,a(w,v5,v6)) * v7,v8,v9)) = a(x,y,L(v7,v8,v9)). [para(17022(a,1),72848(a,2,3)),rewrite([12999(6),72823(5)]),flip(a)]. 72932 a(x,y,(((z * z) \ u) * w) * v5) = a(x,y,(u * w) * v5). [para(26221(a,1),72848(a,1,3,1)),rewrite([49(4),72913(5)]),flip(a)]. 72937 a(x,y,((1 / z) * u) * w) = a(x,y,(z * u) * w). [para(26378(a,2),72848(a,1,3,1)),rewrite([49(4),72913(5)]),flip(a)]. 72942 a(x,y,a(z,a(u,w,v5),v6) \ v7) = a(x,y,a(z,a(u,w,v5),v6) * v7). [para(62478(a,2),72848(a,1,3,1)),rewrite([336(4),70169(5)])]. 72952 a(x,y,z * T(u,T(z \ 1,w))) = a(x,y,u * (z \ 1)). [back_rewrite(72843),rewrite([72916(10)])]. 72967 a(x,y,((z * u) / z) * w) = a(x,y,u * w). [para(147(a,2),72932(a,2,3,1)),rewrite([7725(5),13993(6),25004(4)]),flip(a)]. 72984 a(x,y,(z * ((u * u) \ w)) * v5) = a(x,y,(w * z) * v5). [para(9670(a,1),72932(a,1,3)),rewrite([6385(7),562(8),44462(8),10756(7),1391(7),13983(7),12016(9),17740(12)])]. 72989 a(x,y,(z * a(u,w,v5)) * v6) = a(x,y,a(u,w,v5) * (z * v6)). [para(1143(a,1),72932(a,2,3,1)),rewrite([72932(6),22409(4)]),flip(a)]. 73005 a(x,y,(z * T(u,w)) * v5) = a(x,y,(u * z) * v5). [para(2467(a,1),72932(a,1,3,1,1)),rewrite([67007(4),71999(5),72092(4),72984(6),67007(8),71999(9),72045(8),46306(12),46306(11)])]. 73012 a(x,y,z * (T((u * u) \ w,z) * v5)) = a(x,y,z * (T(w,z) * v5)). [para(24258(a,1),72932(a,1,3)),rewrite([25603(10),24258(9)])]. 73033 a(x,y,((z / u) * w) * v5) = a(x,y,((u \ z) * w) * v5). [para(51000(a,2),72932(a,1,3,1,1)),rewrite([51000(8),64723(5),72937(7),46306(5)]),flip(a)]. 73040 a(x,y,((z \ 1) * u) * w) = a(x,y,(z * u) * w). [para(12004(a,2),72932(a,1,3,1,1)),rewrite([60426(3),49(4),73033(5)])]. 73051 a(x,y,z * (T(u,z) * w)) = a(x,y,z * (u * w)). [back_rewrite(72882),rewrite([72967(5)]),flip(a)]. 73063 a(x,y,z * (((u * u) \ w) * v5)) = a(x,y,z * (w * v5)). [back_rewrite(73012),rewrite([73051(6),73051(9)])]. 73074 a(x,y,L(z \ u,z,u)) = a(x,y,u * z). [para(26452(a,2),72770(a,1,3)),rewrite([26414(4),72789(7)])]. 73135 (x * x) * (y * (x \ 1)) = T(y * x,x \ (x \ 1)). [hyper(7088,a,49,a(flip),b,72702,a),rewrite([67007(4),67007(8),67094(12)]),flip(a)]. 73158 (x \ T(T(x * (y / x),z * (x \ (1 / x))),u)) * x = T(T(y,z),(x \ 1) * (x \ u)). [hyper(7088,a,72702,a,b,56946,a(flip)),rewrite([62160(6),68101(5),62160(11),68101(10),65068(13),62160(19),22473(21),64931(23),68326(22),69152(20),68908(21),64714(12),9460(20),65008(20),41696(13)]),flip(a)]. 73303 (x * y) * (y \ (y \ K(z,u))) = x * (y \ K(z,u)). [hyper(5142,a,72702,a,b,9566,a),rewrite([22473(5),67625(4),67958(5),67927(7),31850(9)])]. 73425 (x * y) * (K(z,u) * ((y * y) \ w)) = (x * (y \ K(z,u))) * w. [hyper(5081,a,10794,a,b,72702,a),rewrite([36703(5),49(2),40629(8),41963(5),49(3),22473(9),67625(8),67958(9)]),flip(a)]. 73426 (x * y) * (((y * y) \ z) * u) = (x * (y \ 1)) * (z * u). [hyper(5081,a,9213,a,b,72702,a),rewrite([9213(10),22473(9)]),flip(a)]. 73428 (x * y) * (y \ (y \ a(z,u,a(w,v5,v6)))) = x * (y \ a(z,u,a(w,v5,v6))). [hyper(5081,a,8271,a,b,72702,a),rewrite([8271(8),7735(6),12999(5),69856(9)]),flip(a)]. 73500 (x * (y / (z * z))) * u = (x * y) * ((z * z) \ u). [para(7(a,1),72702(a,1,1)),rewrite([7(6),11968(7),315(8),51(7),67007(8),71999(9),72446(7)]),flip(a)]. 73507 L(x,y,z * (u \ 1)) = L(x,y,z * u). [para(72702(a,1),56(a,1,1)),rewrite([73426(9),56(10),25603(8)])]. 73511 ((x * (y * z)) * ((z * z) \ u)) / ((y * (z \ 1)) * u) = R(x,y * z,(z * z) \ u). [para(72702(a,1),57(a,1,2))]. 73570 a(x,y * z,u) * (x * ((y * (z \ 1)) * u)) = (x * (y * z)) * ((z * z) \ u). [para(72702(a,1),7687(a,1,2,2)),rewrite([72569(4)])]. 73572 a(x,y * z,u) * (x * ((y * (z \ 1)) * u)) = (x * (y * (z \ 1))) * u. [para(72702(a,2),7687(a,1,2,2)),rewrite([50787(4),72702(6)])]. 73601 L(x,y,z * (u \ a(w,v5,a(v6,v7,v8)))) = L(x,y,z * u). [para(72702(a,2),13059(a,1,3)),rewrite([69856(5),73428(6),73507(9)])]. 73609 a(x,(y * (z \ 1)) * u,w) = a(x,u * (y * z),w). [para(72702(a,1),13932(a,2,2)),rewrite([22971(6),14782(4)]),flip(a)]. 73611 a(x,y * (z * (u \ 1)),w) = a(x,y * (z * u),w). [para(72702(a,2),14794(a,1,2)),rewrite([72702(4),73609(5)]),flip(a)]. 73613 (a(x,y,z) * u) * ((a(x,y,z) * a(x,y,z)) \ w) = (u * (a(x,y,z) \ 1)) * w. [para(1143(a,2),72702(a,1,1))]. 73642 L(x,y * (z \ a(u,w,a(v5,v6,v7))),v8) = L(x,y * (z \ 1),v8). [para(72702(a,2),21231(a,1,2)),rewrite([69856(5),73428(6)])]. 73648 (x * (y \ 1)) * y = (x * y) * (1 / y). [para(22924(a,1),72702(a,1,2)),flip(a)]. 73664 L(x,(y * (z \ 1)) * u,w) = L(x,(y * z) * u,w). [para(72702(a,1),26518(a,2,2)),rewrite([25862(6),26518(4)]),flip(a)]. 73667 L(x,y,z * (u \ K(w,v5))) = L(x,y,z * u). [para(72702(a,2),26403(a,1,3)),rewrite([67625(4),73303(5),73507(8)])]. 73679 (x * (y \ 1)) * L(y,y,y) = (x * y) * (y \ 1). [para(22989(a,1),72702(a,1,2)),rewrite([65131(5)]),flip(a)]. 73719 a(x * (((y * (z \ 1)) * u) * w),v5,v6) = a(x * (((y * z) * u) * w),v5,v6). [para(72702(a,1),46302(a,2,1,2,1)),rewrite([46937(8),46302(6)]),flip(a)]. 73723 a(((x * (y * (z \ 1))) * u) * w,v5,v6) = a(w * (((y * z) * x) * u),v5,v6). [para(72702(a,2),46702(a,2,1,2,1)),rewrite([72702(11),73719(14)])]. 73724 a(x * (y * (z * (u * (w \ 1)))),v5,v6) = a(x * (((u * w) * z) * y),v5,v6). [para(72702(a,2),46819(a,1,1,2,1)),rewrite([72702(4),73719(7)]),flip(a)]. 73766 (x * (y \ 1)) * (y * z) = (x * y) * ((1 / y) * z). [para(382(a,2),72702(a,1,2)),rewrite([60426(3)]),flip(a)]. 73771 (x * (a(y,a(z,u,w),v5) \ 1)) * v6 = x * (a(y,a(z,u,w),v5) \ v6). [para(62478(a,2),72702(a,2,1,2)),rewrite([62627(9),7731(10),51(9),336(8)]),flip(a)]. 73789 a(x,y,(z * (u \ 1)) * w) = a(x,y,(z * u) * w). [para(72702(a,1),72789(a,2,3)),rewrite([72912(7),72789(5)]),flip(a)]. 73797 (x \ 1) \ T(x * (y * (x \ 1)),z) = T(T(y,z) * x,x \ (x \ 1)). [back_rewrite(68865),rewrite([73135(14)])]. 73829 (x * (y * z)) * ((z * z) \ u) = (x * (y * (z \ 1))) * u. [back_rewrite(73570),rewrite([73572(8)]),flip(a)]. 73845 R(x,y * z,(z * z) \ u) = R(x,y * (z \ 1),u). [back_rewrite(73511),rewrite([73829(5),57(10)]),flip(a)]. 73869 T(x * x,y) \ a(z,u,w) = T((x * x) \ a(z,u,w),y). [hyper(7088,a,1143,a(flip),b,72092,a),rewrite([66558(3),50256(9)]),flip(a)]. 73878 T(T(x,y \ (y \ 1)),z) = T(x,y \ (y \ z)). [hyper(7088,a,72092,a,b,50481,a),rewrite([23218(11),23536(10),49(9),59(9),68576(9),22633(7),323(5),49(4),12024(3),26221(13),67531(13),72446(15),73500(16),67530(16),67520(17),72497(8),58(9)]),flip(a)]. 73919 (x * x) \ T(y,x \ (x \ z)) = T(y,z) / (x * x). [hyper(5142,a,2467,a,b,72092,a),rewrite([67007(5),71999(6),72045(5),73878(6),336(7)])]. 73935 (x * y) * (z \ (z \ K(u,w))) = x * (y * (z \ (z \ K(u,w)))). [hyper(5142,a,9566,a(flip),b,72092,a),rewrite([67927(7),72446(10),72446(9),67849(8)])]. 74048 x * T(y \ (y \ 1),z) = x / T(y * y,z). [hyper(295,a,42661,a(flip),b,72092,a),rewrite([225(7,R),67444(7)]),flip(a)]. 74065 T(x,y \ (y \ T(z,x))) = T(x,y \ (y \ z)). [hyper(7088,a,410,a(flip),b,72092,a(flip)),rewrite([67250(4),73919(5),67250(4),67250(8),73919(9),72042(11),9084(10),55272(10),72045(8),73878(9)])]. 74177 (x * x) \ ((y * ((x * x) \ (y / (x * x)))) \ z) = y \ ((x * x) * ((y \ 1) * z)). [hyper(5083,a,69321,a(flip),b,72092,a(flip)),rewrite([72042(4),5(5),72092(12)]),flip(a)]. 74179 x \ (x / T(y * y,z)) = T(y \ (y \ 1),z). [hyper(5083,a,42661,a(flip),b,72092,a(flip)),rewrite([225(8,R),67444(8)])]. 74184 x \ (y * (x / (z * z))) = T(y,x) / (z * z). [hyper(5083,a,410,a(flip),b,72092,a(flip)),rewrite([67250(8),73919(9)])]. 74234 ((x * y) * (y \ 1)) * z = R(x,y,y) * z. [para(57(a,1),72092(a,1,1)),rewrite([72702(7)]),flip(a)]. 74242 K(((x * x) \ y) * z,u) = K(y * (z / (x * x)),u). [para(72092(a,1),181(a,1,1)),rewrite([36692(5)])]. 74261 T(x,T(y * ((z * z) \ u),u)) = T(x,u * (y / (z * z))). [para(72092(a,1),262(a,1,2,1))]. 74263 T(x,((y * y) \ z) * u) = T(x,z * (u / (y * y))). [para(72092(a,2),262(a,1,2,1)),rewrite([72092(3),12024(6),36711(7),51(5),74261(5)]),flip(a)]. 74281 K(x,((y * y) \ z) * u) = K(x,z * (u / (y * y))). [para(72092(a,1),7197(a,1,2,1)),rewrite([67250(6),27834(7),51(5),7197(5)])]. 74341 (x * ((y * y) \ (x / (y * y)))) \ (x / (y * y)) = 1 / (x / (y * y)). [para(72092(a,1),22924(a,1,1))]. 74345 (x * ((y * y) \ z)) * L(u,x,z) = z * (T(x / (y * y),z) * u). [para(72092(a,1),24258(a,1,1)),rewrite([28057(6),25603(6)])]. 74366 (x / (y \ (1 / y))) * z = x * (y * ((y \ 1) \ z)). [para(26378(a,2),72092(a,2,2)),rewrite([61772(5),1816(8),5754(11),64714(8),8630(11),1599(9),66316(9),66480(9)])]. 74451 (T(x,y) * z) \ T(x,u \ (u \ y)) = (T(x,u * u) * z) \ x. [back_rewrite(72244),rewrite([73878(7)])]. 74469 x / T(x * x,y) = x \ K(y,x * x). [back_rewrite(65096),rewrite([74048(5)])]. 74492 K(x \ (x \ (y * z)),u) = K(y * (z / (x * x)),u). [back_rewrite(23579),rewrite([74242(8)])]. 74548 T(x * x,y * (z / (x * x))) = T(x * x,y * z). [back_rewrite(26268),rewrite([74263(5)])]. 74579 K(x * x,y * (z / (x * x))) = K(x * x,y * z). [back_rewrite(22865),rewrite([74281(5)])]. 74583 L(x,y * (z * ((u * u) \ w)),v5) = L(x,y * (z * w),v5). [back_rewrite(33590),rewrite([74345(5),27296(6),72092(3)])]. 74612 K(x,T((y \ z) \ u,w)) = K(x,T(z \ (y * u),w)). [hyper(295,a,11749,a(flip),b,60845,a),rewrite([11749(9)])]. 74615 K(x,y \ (z \ (y * u))) = K(x,T(z,y) \ u). [para(58(a,1),60845(a,1,2,1)),rewrite([12016(7)]),flip(a)]. 74619 T(x,K(y,(z * u) * w)) = T(x,K(y,u * (z * w))). [para(60845(a,1),152(a,1,1,2)),rewrite([43676(4),56568(4),152(5),60845(7),44462(8)]),flip(a)]. 74632 x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). [para(60845(a,1),197(a,1,2))]. 74647 K(x,((y \ z) \ u) * K(w,v5)) = K(x,(z \ (y * u)) * K(w,v5)). [para(7726(a,2),60845(a,2,2,2)),rewrite([41109(4),7726(8),60873(9)])]. 74667 K(x,T(y,z) * K(u,w)) = K(x,T(y * K(u,w),z)). [para(10268(a,1),60845(a,2,2)),rewrite([43711(5),74647(5),58(2)])]. 74674 K(x,L(y,z,z) \ ((1 / z) * u)) = K(x,y \ (z \ u)). [para(22931(a,1),60845(a,1,2,1)),rewrite([12016(3)]),flip(a)]. 74691 T(x,K(y,z * (u \ w))) = T(x,K(y,z * (u * w))). [para(60845(a,1),44462(a,1,2)),rewrite([44462(4),74619(4)]),flip(a)]. 74717 K(x,((y \ 1) \ 1) * z) = K(x,(1 / y) \ z). [para(69340(a,1),60845(a,1,2,1)),rewrite([324(11)]),flip(a)]. 74803 K(x,K(y,z) * T(u,w)) = K(x,T(u * K(z,y),w)). [back_rewrite(18106),rewrite([74667(4)]),flip(a)]. 74953 K(x,T((x \ y) * K(y,z),u)) = K(x,T(x \ y,u * z)). [back_rewrite(45406),rewrite([74803(5)])]. 74971 L(R((x / y) \ z,u,w),y \ x,y \ x) = R((1 / (x / y)) * z,u,w). [hyper(295,a,28057,a(flip),b,65410,a),rewrite([26402(6)])]. 75008 K(x,(1 / y) * z) = K(x,y \ z). [para(65410(a,1),5537(a,1,2)),rewrite([5679(5),5679(7)])]. 75013 T(x,(1 / y) * z) = T(x,y \ z). [para(65410(a,1),6174(a,1,2)),rewrite([6492(5),6492(7)])]. 75097 T((x \ 1) \ 1,x \ y) = T(x,x * y). [back_rewrite(71470),rewrite([75013(8)])]. 75102 T(T(x,x \ 1),x \ y) = T(x,x * y). [back_rewrite(66970),rewrite([75013(7)])]. 75104 T(x,T(y * (1 / z),z)) = T(x,z \ y). [back_rewrite(36807),rewrite([75013(9)])]. 75106 T(x,T(y,z \ 1) * (1 / z)) = T(x,z \ y). [back_rewrite(23284),rewrite([75013(11)])]. 75113 ((x \ 1) * L(x,y,z)) \ L(x,y,z) = T(x,x * L(x,y,z)). [back_rewrite(64296),rewrite([75102(6)]),flip(a)]. 75127 T(x * a(y,z,a(u,w,v5)),x \ 1) = (x \ 1) \ a(y,z,a(u,w,v5)). [hyper(7088,a,61614,a,b,7732,a),rewrite([547(13),5528(11)])]. 75135 T(x \ K(y,z),x) = K(y,z) / x. [hyper(7088,a,61614,a,b,31945,a(flip)),rewrite([60848(7),49(5),324(4),60848(13),49(11),324(10),2598(9),26414(14),28083(12),5678(10),71342(10),41633(8),48(6)])]. 75216 L(L(T(x,x \ 1),y,z),x,x) / ((x \ 1) * L(x,y,z)) = T(x,x \ 1). [hyper(5142,a,61614,a,b,13622,a),rewrite([60(4)])]. 75278 L(T(x,y \ (z \ 1)),z * y,z * y) = (z * y) * (x * ((z * y) \ 1)). [hyper(5081,a,13995,a,b,61614,a),rewrite([13995(12),12024(10)]),flip(a)]. 75279 L(L(T(x,x \ 1),y,z),x,x) = L(x,y,z). [hyper(5081,a,13622,a,b,61614,a),rewrite([13622(8),63806(4),51(3),60(5)]),flip(a)]. 75292 x * (x * K(y,x * x)) = T(x * x,y \ (x * x)). [hyper(5081,a,22936,a(flip),b,61614,a),rewrite([23536(6),49(5),8515(5),2045(4),7726(4),23536(9),49(8),25316(13),25603(11),24092(9)])]. 75326 L(R(T(x,y \ 1),z,u),y,y) = y * (R(x,z,u) * (y \ 1)). [para(61(a,1),61614(a,1,1))]. 75327 x * (R(y,z,u) * (x \ 1)) = R(x * (y * (x \ 1)),z,u). [para(61614(a,1),63(a,1,1)),rewrite([75326(10)]),flip(a)]. 75333 K(x * (y * (x \ 1)),z) = K(y,T(z,x)). [para(61614(a,2),181(a,2,1)),rewrite([73648(4),68966(6),58(2),1039(2),61614(6)]),flip(a)]. 75341 T(x,y * (z * (y \ 1))) = T(x,T(z,y)). [para(61614(a,2),262(a,2,2)),rewrite([73648(4),75104(6),58(2),61614(6)]),flip(a)]. 75346 L(T(x,y),y,y) = (1 / y) * (x * y). [para(340(a,1),61614(a,1,1,2)),rewrite([26402(6),26414(6),28057(4),28083(4),340(8)])]. 75356 a(x * (y * x),z,u) = a(L(y,x,x),z,u). [para(61614(a,2),12550(a,1,1)),rewrite([61614(4),47239(5),46456(3),73648(6),12592(7),46639(7)]),flip(a)]. 75362 a(x * ((y * z) * y),u,w) = a(x * L(z,y,y),u,w). [para(61614(a,2),13792(a,2,1,2)),rewrite([73724(8),7726(3),9566(4),13792(6),62406(4),61614(7),70150(9)]),flip(a)]. 75366 a(x,y * (z * y),u) = a(x,L(z,y,y),u). [para(61614(a,2),13932(a,1,2)),rewrite([25262(7),26536(6),14785(6),73611(8),24307(6)]),flip(a)]. 75423 a(x * (((y * z) * z) * u),w,v5) = a(x * (R(y,z,z) * u),w,v5). [para(61614(a,2),46702(a,1,1,1,1)),rewrite([61614(4),73723(7),73648(9),47273(12),74234(10)])]. 75446 T(x,a(y,a(z,u,w),v5) \ 1) = x. [para(62478(a,2),61614(a,1,1,2)),rewrite([336(4),5535(10),31776(13),29488(12)])]. 75452 a(x,y,z * (u * z)) = a(x,y,L(u,z,z)). [para(61614(a,2),72789(a,1,3)),rewrite([340(4),26402(6),26414(6),28057(4),28083(4),14986(3),340(6)]),flip(a)]. 75459 K(x,y) * (1 / z) = K(x,y) / z. [back_rewrite(71662),rewrite([75135(3)]),flip(a)]. 75466 L(x,y,z) / ((x \ 1) * L(x,y,z)) = T(x,x \ 1). [back_rewrite(75216),rewrite([75279(5)])]. 75480 (x \ (y * y)) / (x \ 1) = T(y * y,x). [back_rewrite(66328),rewrite([75292(11),60848(11),70971(10),324(8),14433(9)])]. 75500 L(R(T(x,y \ 1),z,u),y,y) = R(y * (x * (y \ 1)),z,u). [back_rewrite(75326),rewrite([75327(10)])]. 75516 a(x * (((y * z) * y) * u),w,v5) = a(x * (R(z,y,y) * u),w,v5). [back_rewrite(46713),rewrite([75423(5)]),flip(a)]. 75521 x * (a(y,a(z,u,w),v5) \ 1) = a(y,a(z,u,w),v5) \ x. [back_rewrite(70705),rewrite([75446(7)]),flip(a)]. 75527 ((x \ 1) \ K(y,z)) \ 1 = K(z,y) / x. [back_rewrite(71344),rewrite([75459(10)])]. 75555 T(K(x,T(y,z)) / y,K(y,z)) = K(y,z) / T(T(y,z),x). [back_rewrite(43076),rewrite([75459(11)])]. 75559 T(x,K(y,z) / u) = T(x,u \ K(y,z)). [back_rewrite(32417),rewrite([75459(4)])]. 75568 1 / (x * K(y,z)) = K(z,y) / x. [back_rewrite(23189),rewrite([75459(8)])]. 75577 (a(x,a(y,z,u),w) \ v5) * v6 = v5 * (a(x,a(y,z,u),w) \ v6). [back_rewrite(73771),rewrite([75521(5)])]. 75582 (1 / x) \ (a(y,a(z,u,w),v5) \ 1) = a(y,a(z,u,w),v5) \ x. [back_rewrite(70707),rewrite([75521(12)])]. 75620 a((x \ a(y,a(z,u,w),v5)) * v6,v7,v8) = a(x * (a(y,a(z,u,w),v5) * v6),v7,v8). [back_rewrite(62643),rewrite([75577(4),69077(5)]),flip(a)]. 75719 K(x,y) * (K(y,x) / z) = 1 / z. [hyper(5306,a,75459,a),rewrite([5754(4)])]. 75731 1 / T(x,x \ K(y,z)) = T(x \ 1,K(y,z)). [hyper(5083,a,2244,a(flip),b,75459,a),rewrite([5754(4),32036(4)]),flip(a)]. 75757 (K(x,T(y,z)) / z) * K(y,x) = 1 / z. [hyper(5142,a,75459,a(flip),b,2729,a(flip)),rewrite([23218(3),27834(4),49(2),9510(5)])]. 75771 K(x,y) / (1 / z) = (z \ K(y,x)) \ 1. [para(160(a,1),75459(a,1,2)),rewrite([64714(4),149(5),48544(5)]),flip(a)]. 75781 T(K(x,y) / z,K(z,u)) = K(x,y) / z. [para(75459(a,1),251(a,2,1)),rewrite([23293(7),2598(7),2717(7),27834(6),49(4),41633(5),48(3),5548(7),562(8),44462(8),48(6),562(6)]),flip(a)]. 75792 K(x,y) * ((1 / z) * u) = (K(x,y) / z) * u. [para(75459(a,1),7687(a,2,1)),rewrite([14827(4),50864(4),8(2),48(7)])]. 75801 (1 / x) \ (K(y,z) * u) = (K(z,y) / x) \ u. [para(75459(a,1),11892(a,2,1)),rewrite([5754(4),5539(9)])]. 75819 L(x,y,L(K(z,u) / w,v5,v6)) = L(x,y,L(1 / w,v5,v6)). [para(75459(a,1),28010(a,1,3,1))]. 75831 (T(x,y) \ z) \ (K(y,x) / u) = (x \ z) \ (1 / u). [para(75459(a,1),33918(a,1,2))]. 75836 T(x,T((y / (1 / z)) * K(u,w),v5)) = T(x,T(y / (K(w,u) / z),v5)). [para(75459(a,1),35720(a,2,2,1,2)),rewrite([9510(5)])]. 75856 K(x,y) * (z \ (K(y,x) / u)) = T(z,K(x,y)) \ (1 / u). [para(75459(a,1),12748(a,1,2,2))]. 75863 ((K(x,y) / z) \ u) * K(x,y) = (1 / z) \ T(u,K(x,y)). [para(75459(a,1),11972(a,2,1)),rewrite([5539(9),41109(10)]),flip(a)]. 75865 (K(x,y) / z) \ (K(x,y) * u) = (1 / z) \ u. [para(75459(a,1),382(a,2,1)),rewrite([5539(7)]),flip(a)]. 75872 K(x,y) / T(T(x,y),z) = K(z,T(x,y)) / x. [back_rewrite(75555),rewrite([75781(5)]),flip(a)]. 75880 (x \ (K(y,z) * (x \ K(y,z)))) * x = (K(y,z) / x) * K(y,z). [back_rewrite(71672),rewrite([75792(12)])]. 75970 K(x,T(y \ z,y * u)) = K(x,T(z * (1 / y),u)). [hyper(7088,a,60426,a,b,40278,a),rewrite([75008(4),75013(6),2598(4),27834(4),60426(14),6619(16),2598(9),26402(12),26414(12),5678(10)])]. 75989 T(1 / x,x * y) = T(x \ 1,x \ y). [hyper(7088,a,60426,a,b,3836,a(flip)),rewrite([75013(6),61822(11),31103(11),69321(8),61613(9),22989(7)]),flip(a)]. 76040 K(x,y * (1 / z)) = K(x,y / z). [hyper(5142,a,60426,a,b,39887,a),rewrite([75008(4),60426(4),2677(8),23218(4),27834(5),49(3),36200(3)]),flip(a)]. 76070 (K(x,T(y,z)) / z) * (K(y,x) * u) = (1 / z) * u. [hyper(5083,a,60426,a,b,10794,a),rewrite([23218(3),27834(4),49(2),60426(6),5754(8),1039(2),75792(8)])]. 76081 (1 / x) * K(y,x \ z) = K(y,z / x) / x. [hyper(5081,a,39887,a,b,60426,a),rewrite([76040(4),75459(5),75008(7),60426(7)]),flip(a)]. 76084 ((1 / x) * y) * L(L(z,y,x),u,w) = (1 / x) * (y * L(z,u,w)). [hyper(5081,a,24271,a,b,60426,a),rewrite([26402(6),26414(6),60426(10)])]. 76121 L(T(x,y) \ z,x,x) = (1 / T(x,y)) * z. [hyper(295,a,26536,a(flip),b,60426,a),rewrite([25262(4)])]. 76124 L(K(x,y) * (z \ u),z,z) = (K(x,y) / z) * u. [hyper(295,a,26403,a(flip),b,60426,a),rewrite([12023(3),26505(6),75568(8)])]. 76130 1 / L(K(x,y) * z,u,w) = (1 / L(z,u,w)) * K(y,x). [hyper(5142,a,28010,a(flip),b,60426,a(flip)),rewrite([27503(4),28012(9),60426(7),10300(7)]),flip(a)]. 76136 L(L(x \ y,z,u),x,x) = L((1 / x) * y,z,u). [para(60426(a,1),64(a,1,1)),flip(a)]. 76145 K(x,T(y,z \ 1) / z) = K(x,z \ y). [para(60426(a,2),229(a,2,2)),rewrite([23218(3),76040(7),60426(7),75008(9)])]. 76165 (1 / ((x * x) * y)) * z = (1 / y) * ((x * x) \ z). [para(11965(a,1),60426(a,1,1)),rewrite([12144(8),25450(6),60426(4)]),flip(a)]. 76184 (x * (1 / y)) * L(z,y,x) = x * ((1 / y) * z). [para(60426(a,2),380(a,2,2)),rewrite([28057(6),28083(6),60426(7)])]. 76185 (x * (1 / y)) * L(L(z,y,x),u,w) = x * ((1 / y) * L(z,u,w)). [para(60426(a,2),24271(a,2,2)),rewrite([28057(6),28083(6),60426(9)])]. 76192 L((x * x) * (y \ z),y,y) = (x * x) * ((1 / y) * z). [para(60426(a,1),25954(a,1,2)),flip(a)]. 76208 K(x,T(y,z \ u) * ((1 / z) * u)) = K(x,((1 / z) * u) * y). [para(60426(a,1),11568(a,1,2,2)),rewrite([60426(9)])]. 76210 K(x,y \ z) * z = z * K(x,z / y). [para(60426(a,2),39887(a,1,1,2)),rewrite([60426(2),75008(4),76040(7)])]. 76230 K(x,y) * (((1 / z) * u) * w) = ((K(x,y) / z) * u) * w. [para(60426(a,1),27440(a,2,2,1)),rewrite([76124(4)]),flip(a)]. 76232 L(L(L(x \ y,z,u),w,v5),x,x) = L(L((1 / x) * y,z,u),w,v5). [para(60426(a,1),417(a,2,1,1))]. 76328 (a(x,y,z) * u) \ L(a(x,y,z),u,u) = T(u \ 1,u \ a(x,y,z)). [back_rewrite(31346),rewrite([75989(10)])]. 76351 (x * L(y,z,u)) \ L(L(y,x,x),z,u) = T(x \ 1,x \ L(y,z,u)). [back_rewrite(31233),rewrite([75989(10)])]. 76358 (x * y) \ L(y,x,x) = T(x \ 1,x \ y). [back_rewrite(22989),rewrite([75989(7)])]. 76374 (L(x,y,z) * L(K(u,w) * x,y,z)) \ L(x,y,z) = (1 / L(x,y,z)) * K(w,u). [back_rewrite(56499),rewrite([76130(12)])]. 76426 K(x,T(y * (1 / z),u)) = K(x,T(y / z,u)). [hyper(295,a,11749,a(flip),b,76040,a),rewrite([11749(9)])]. 76431 K(x,y * K(z,z \ 1)) = K(x,y). [para(53(a,1),76040(a,1,2)),rewrite([5649(6),1816(4),9510(5),64714(4)]),flip(a)]. 76435 T(x,y * (1 / z)) = T(x,y / z). [para(76040(a,1),149(a,1,2)),rewrite([149(3)]),flip(a)]. 76482 K(x,y / (z \ 1)) = K(x,y * z). [para(337(a,1),76040(a,1,2,2)),flip(a)]. 76524 K(x,T(y \ z,y * u)) = K(x,T(z / y,u)). [back_rewrite(75970),rewrite([76426(9)])]. 76527 T(x,T(y,z \ 1) / z) = T(x,z \ y). [back_rewrite(75106),rewrite([76435(7)])]. 76557 (((1 / x) * y) * z) \ (((K(u,w) / x) * y) * z) = K(u,T(w,x * (z * y))). [hyper(7088,a,76230,a,b,76230,a),rewrite([2598(6),26924(6),75013(5),27834(4),76230(14)]),flip(a)]. 76705 K(x,y) * ((K(y,x) / z) * u) = (1 / z) * u. [hyper(5083,a,49,a(flip),b,76230,a),rewrite([5754(5),49(10)])]. 76714 T(K(x,y) / z,T(u,z)) = T(K(x,y) / z,u). [hyper(5083,a,76230,a,b,14227,a),rewrite([76230(11),38421(10),3556(3),1205(6)])]. 77049 a(((x * (K(y,z) / u)) * w) * v5,v6,v7) = a(v5 * ((u * x) * w),v6,v7). [para(76230(a,2),46702(a,2,1,2)),rewrite([76230(12),46694(12),50869(12)])]. 77147 L(x \ y,x,y \ z) \ z = T((z / y) * x,x \ y). [para(53(a,1),11770(a,1,2)),rewrite([26402(3)])]. 77301 T(x * (y * y),y \ 1) = (1 / y) \ (x * y). [para(22924(a,1),11770(a,1,1,1)),rewrite([321(4),22924(8),23218(9)]),flip(a)]. 77320 L((x \ 1) \ y,x,z) \ (z * y) = T(z * (x \ 1),x * y). [para(28083(a,1),11770(a,1,1)),rewrite([60848(13),324(12)])]. 77335 K(x,x \ y) * (z * (x \ y)) = T(z * (y / x),K(x,y)). [para(3776(a,1),11770(a,1,1,1)),rewrite([28057(4),5678(4),5754(5),3776(10),562(10),44462(10),36595(9),50954(10)])]. 77461 T(x * (y \ 1),y * y) = ((y * y) \ x) * y. [para(61612(a,1),11770(a,1,1,1)),rewrite([28083(4),322(2),22473(3),61612(9)]),flip(a)]. 77478 T(x * (y * y),y \ (y \ z)) = T((y * y) * x,z). [para(61780(a,2),11770(a,1,1,1)),rewrite([61780(4),321(4),23536(4),404(4),12024(8)]),flip(a)]. 77481 x * ((x \ 1) \ (y * (1 / x))) = T(y * x,x \ (x \ 1)). [para(62160(a,2),11770(a,1,1,1)),rewrite([62160(5),65875(4),64765(7),65920(12)])]. 77577 T(K(x,y) * (z / u),K(u,z)) = K(x,y) * (z / u). [hyper(295,a,10794,a,b,77335,a),rewrite([44462(3),36595(2),50954(3),1671(3),2045(5),147(5,R),51(3)]),flip(a)]. 77591 (x * (y \ z)) \ (x * (z / y)) = K(y,y \ z). [hyper(7088,a,77335,a(flip),b,32795,a),rewrite([2677(4),2598(6),36703(6),40469(6),26853(5),26896(5),34821(3),238(2),44462(7),36595(6),50954(7),51283(8),11427(10),77(9),408(8)]),flip(a)]. 77593 T(x * K(y,y \ z),y \ z) = (y \ z) \ (x * (z / y)). [hyper(7088,a,77335,a(flip),b,24258,a),rewrite([5539(7),5539(9),44462(9),36595(8),50954(9),51283(10),11427(12),77(11),408(10)])]. 77621 T(x / y,K(x,y)) = x / y. [hyper(5083,a,77335,a(flip),b,9543,a),rewrite([562(6),5754(7),9602(7),5784(5),2598(7),1671(7),2045(7),147(7,R),51(5)])]. 77701 K(x,x \ y) * ((z * (x \ y)) * u) = T(z * (y / x),K(x,y)) * u. [para(77335(a,1),7687(a,2,1)),rewrite([8(5),48(8)])]. 77726 T(x,x \ 1) \ a(y,z,a(u,w,v5)) = a(y,z,a(u,w,v5)) * (1 / x). [para(12981(a,1),77335(a,1,2)),rewrite([66917(7),319(13),408(13)])]. 77731 a(x * (y * (z * (u / w))),v5,v6) = a(x * (y * (z * (w \ u))),v5,v6). [para(77335(a,1),13792(a,1,1,2,2)),rewrite([562(4),13887(7)])]. 77732 a(x,y,z * (u / w)) = a(x,y,z * (w \ u)). [para(77335(a,1),13929(a,1,3)),rewrite([562(4),13983(5)])]. 77774 L(x,y * (z / u),w) = L(x,y * (u \ z),w). [para(77335(a,1),24266(a,1,1,2)),rewrite([562(4),5538(13),7725(12),77701(11),562(9),56(12),26536(5),5538(8),26403(9)])]. 77814 K(x,y * (z / x)) = K(x,y * (x \ z)). [para(77335(a,1),37822(a,1,2)),rewrite([1671(5)])]. 77862 a(x,(y * (z / u)) \ w,v5) = a(x,(y * (u \ z)) \ w,v5). [para(77335(a,1),52482(a,2,2,1)),rewrite([2598(3),11961(7),1039(5),14808(8),13936(10)]),flip(a)]. 77870 K(x,y \ z) * (z / y) = (z / y) * K(x,y \ z). [para(2045(a,1),77335(a,1,2)),rewrite([9138(7),9183(7),77577(10)]),flip(a)]. 77943 L(x,y * (z \ 1),u) = L(x,z * y,u). [back_rewrite(27326),rewrite([77774(4)])]. 77944 K(x * x,y * ((x * x) \ z)) = K(x * x,y * z). [back_rewrite(74579),rewrite([77814(5)])]. 77961 a(x,(y * (z \ 1)) \ u,w) = a(x,(y * z) \ u,w). [back_rewrite(69550),rewrite([77862(5)])]. 77969 L(x,y * (z \ a(u,w,a(v5,v6,v7))),v8) = L(x,z * y,v8). [back_rewrite(73642),rewrite([77943(9)])]. 77977 a(x,y,z * T(u,w)) = a(x,y,z * u). [para(52(a,1),77732(a,1,3,2)),rewrite([58(4)]),flip(a)]. 77990 a(x,y,z * ((u \ w) \ w)) = a(x,y,z * u). [para(337(a,1),77732(a,1,3,2)),flip(a)]. 77998 a(x,y,z * (u * (w / (v5 * v5)))) = a(x,y,z * (u * w)). [para(22473(a,1),77732(a,2,3,2)),rewrite([72446(3),73063(10)])]. 78009 a(x,y,z * (u \ (1 / u))) = a(x,y,z). [para(62160(a,2),77732(a,2,3,2)),rewrite([67495(3),71999(4),14988(3),72569(3),62160(6)]),flip(a)]. 78011 a(x,y,z * (u \ 1)) = a(x,y,u * z). [back_rewrite(72952),rewrite([77977(6)]),flip(a)]. 78060 T(x,y * (z / x)) = T(x,y * (x \ z)). [para(77814(a,1),149(a,1,2)),rewrite([149(4)]),flip(a)]. 78069 K(x,T(y * (T(x,z) \ z),z)) = K(x,T(y * (x \ T(z,x)),z)). [para(194(a,1),77814(a,2,2,2)),rewrite([77814(5),1039(5),1039(10)])]. 78106 x * K(y * (z / u),u) = x * K(y * (u \ z),u). [para(77814(a,1),9510(a,1,2)),rewrite([9510(4)]),flip(a)]. 78178 T(x * x,y * ((x * x) \ z)) = T(x * x,y * z). [back_rewrite(74548),rewrite([78060(5)])]. 78406 K((x / y) * z,T(u,x)) = K(z * (x / y),T(u,y)). [para(77147(a,1),242(a,2,1)),rewrite([27102(4),1039(9),27834(9),26989(9)])]. 78471 T((x / (y \ z)) * (z / y),K(z,y)) = K(y,y \ z) * x. [para(3776(a,1),77147(a,2,2)),rewrite([3776(3),28057(6),5678(6),5754(3),562(10),44462(10),53543(10)]),flip(a)]. 78484 T((x / y) * K(z,T(u,w * (x * y))),y) = y \ (K(z,T(u,w)) * x). [para(39358(a,2),77147(a,2,1)),rewrite([5754(3),1039(2),5538(7),11961(4),1039(2),39941(8),5754(13),1039(12),2921(14),39229(13)]),flip(a)]. 78551 ((x \ L(x,y,z)) \ 1) \ 1 = x \ L(x,y,z). [para(70237(a,1),77147(a,2,1)),rewrite([26414(6),71845(4),25190(11)])]. 78647 K((T(x,x \ y) * z) * L(x \ y,u,w),v5) = K((x * z) * L(y / x,u,w),v5). [para(33301(a,1),181(a,1,1)),rewrite([27578(9),9916(7)]),flip(a)]. 78648 K((x * y) * L(z / x,u,w),T(v5,x * z)) = K(L(z / x,u,w) * (x * y),v5). [para(33301(a,1),181(a,2,1)),rewrite([6174(9),27834(9),78647(9)])]. 78910 L(x,(y \ z) \ (u * (z / y)),w) = L(x,u,w). [para(58(a,1),28029(a,1,2)),rewrite([26536(3)]),flip(a)]. 78924 L(x,y \ ((z * z) * u),w) = L(x,y \ u,w). [para(23196(a,2),28029(a,2,2,1)),rewrite([72042(5),25450(6),28029(4),68875(4),23196(6),23536(7),28029(8),68875(8)]),flip(a)]. 78931 L(x,L(y / z,u,w),v5) = L(x,L(z \ y,u,w),v5). [para(69874(a,1),28029(a,1,2)),rewrite([70578(5),64245(8),69874(9),70578(8)])]. 78946 L(L(T(x,y),z,u) \ w,L(x,z,u),u * z) = (u * (z * T(x,y))) \ ((u * z) * w). [hyper(295,a,25021,a(flip),b,27485,a),flip(a)]. 78978 ((x * (y * z)) \ (x * y)) * K(u,z) = (x * (y * T(z,u))) \ (x * y). [back_rewrite(61308),rewrite([78946(7),49(6)]),flip(a)]. 78982 L(x,L(y \ a(z,u,a(w,v5,v6)),v7,v8),v9) = L(x,L(y,v7,v8),v9). [hyper(295,a,21231,a,b,70578,a),rewrite([17022(6),12981(5)])]. 79006 L(x,L(y \ K(z,u),w,v5),v6) = L(x,L(y,w,v5),v6). [para(11961(a,1),70578(a,1,2,1)),rewrite([49(3),28012(8)])]. 79037 L(x,a(y,a(z,u,w),v5) * v6,v7) = L(x,v6,v7 * a(y,a(z,u,w),v5)). [para(5532(a,1),24266(a,1,2,2,1)),rewrite([7731(9),24267(10),5535(3),5532(7)])]. 79412 L((x \ y) \ y,a(z,u,w),x) = T(x,x \ y). [hyper(5081,a,411,a,b,5524,a),rewrite([26404(8)]),flip(a)]. 79452 T(x * a(y,z,u),x) = a(y,z,u) * x. [para(5524(a,1),11664(a,1,1)),rewrite([50(4)]),flip(a)]. 79474 T(x,a(y,z,u) \ x) = x. [para(5524(a,1),11770(a,1,1)),rewrite([50(6),6592(4)]),flip(a)]. 79608 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(160(a,1),28090(a,2,1,2)),rewrite([340(6),12013(9),55743(9),35114(9)])]. 79835 T(x,x * L(x,y,z)) = L(x,L(x,y,z),x). [para(69874(a,1),28090(a,1,2)),rewrite([70578(4),70483(6),75113(8)]),flip(a)]. 79860 ((x \ 1) * L(x,y,z)) \ L(x,y,z) = L(x,L(x,y,z),x). [back_rewrite(75113),rewrite([79835(9)])]. 79942 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [para(58(a,1),79608(a,2,1,2)),rewrite([223(9)])]. 79956 T(x,x \ (y \ z)) * ((y * x) \ z) = x * L((y \ z) / x,x,y). [para(79608(a,2),203(a,2,2)),rewrite([12024(3)])]. 80138 ((x \ 1) * L(x,y,z)) / (x \ 1) = L(L(x,y,z),x,x). [para(63799(a,1),79608(a,1,1)),rewrite([28083(4),51(7),324(7)]),flip(a)]. 80199 T(x,y * a(z,a(u,w,v5),v6)) = T(x,y). [hyper(295,a,5532,a(flip),b,79942,a),rewrite([70948(5),58(2),6706(7),58(7),561(4),6706(7),50(7)]),flip(a)]. 80213 T((x * y) / x,y * x) = L(y,x,y). [para(50(a,1),79942(a,1,1,1)),rewrite([52(2)]),flip(a)]. 80226 K(x / (y * z),T(u,y)) = K((y \ x) / z,u). [para(79942(a,2),177(a,1,2)),rewrite([79942(7),27798(7),50(4),1073(9),6385(8),879(8)])]. 80272 T(x,y \ a(z,u,a(w,v5,v6))) = T(x,y \ 1). [para(13034(a,1),79942(a,1,1,1,2,2)),rewrite([16926(11),60187(11),13042(7),6706(9),16925(9),13351(6),14617(9),6592(6),26566(9),5531(6),6706(9),50(9),13034(9),8415(10)]),flip(a)]. 80379 T(x,y) * K(z,T(u,y)) = T(x * K(z,u),y). [para(5739(a,1),79942(a,2,1,1)),rewrite([7725(5),5739(4),11783(4),9510(6),34443(6),2045(5),2977(5),5538(6),562(6),9510(8),11774(8),9477(8),30581(9)])]. 80432 R(x,a(y,a(z,u,w),v5),T(v6,x)) = x. [back_rewrite(29468),rewrite([80199(6)])]. 80535 (x \ y) * K(z * z,x \ y) = T(x \ y,z \ (z \ 1)). [hyper(5081,a,67715,a,b,79956,a),rewrite([321(7),67715(7),72045(5),12024(10),23599(10),20865(11),8515(12),2045(10)]),flip(a)]. 80544 ((x * a(y,z,u)) \ w) * a(y,z,u) = a(y,z,u) * ((x * a(y,z,u)) \ w). [hyper(5081,a,1143,a(flip),b,79956,a),rewrite([6706(3),11892(5),547(10)])]. 80640 a(x,y,z) * ((a(x,y,z) * u) \ w) = a(x,y,z) * ((u * a(x,y,z)) \ w). [para(1143(a,2),79956(a,1,2,1)),rewrite([547(5),6706(9),11892(11)])]. 80744 ((x \ 1) \ y) / (x * x) = T(x \ y,x \ (x \ 1)). [back_rewrite(68810),rewrite([80535(5)]),flip(a)]. 80753 L(K(x,y) * z,z,z) = (z \ K(y,x)) \ 1. [hyper(7088,a,70516,a,b,31701,a),rewrite([562(6),31831(6),31968(6),5754(7),26458(7)]),flip(a)]. 80765 L(x * K(y,z),x,x) = (x \ 1) \ K(y,z). [hyper(5142,a,70516,a,b,31701,a),rewrite([9510(3),26653(3)])]. 80774 T(x,x \ 1) = L(x,x,x). [hyper(5081,a,5524,a,b,70516,a),rewrite([26414(10),26414(8),79412(6)])]. 80776 L(L(x,y,z),L(x,y,z),L(x,y,z)) = L((x \ 1) \ 1,y,z). [hyper(295,a,70578,a,b,70516,a),rewrite([70578(6),71522(9)])]. 80783 L(L(x \ 1,y,z),L(x,y,z),L(x \ 1,y,z)) = L(1 / x,y,z). [hyper(295,a,70578,a(flip),b,70516,a),rewrite([71522(15),69340(14)])]. 80800 L(x,x,x) \ y = ((x \ 1) \ 1) \ y. [hyper(293,a,70516,a)]. 80817 1 / L(x,x,x) = x \ 1. [hyper(271,a,340,a,b,70516,a(flip))]. 80838 L(x,x,x) \ 1 = 1 / x. [para(70516(a,2),3361(a,2,1)),rewrite([337(4),60845(7),49(5),324(4),64714(3),2426(4)]),flip(a)]. 80891 K(x,T(y,z) * ((z \ 1) \ 1)) = K(x,L(z,z,z) * y). [para(70516(a,1),11568(a,1,2,2))]. 80892 K(x,L(y,y,y) * z) = K(x,(1 / y) \ z). [para(70516(a,1),11568(a,2,2,1)),rewrite([11568(4),74717(9)])]. 80896 1 / (K(x,y) / z) = (z \ 1) \ K(y,x). [para(70516(a,2),44061(a,1,2,2)),rewrite([31850(5),6174(5),75135(4),49(9)])]. 80914 L(x,x,x) \ (K(y,z) * u) = ((x \ K(y,z)) \ 1) \ u. [para(70516(a,1),27503(a,1,1)),rewrite([11961(4),49(3),12075(10),26562(8)]),flip(a)]. 80925 L(L(x,x,x),x,x) = x. [para(70516(a,2),60487(a,1,1)),rewrite([28083(4),49(5),324(4)])]. 80929 T(x,L(y,y,y) \ z) = T(x,(y \ 1) * z). [para(70516(a,2),60848(a,1,2,1)),rewrite([324(8)])]. 80936 (L(x,x,x) \ y) * T(z,(x \ 1) * y) = z * (((x \ 1) \ 1) \ y). [para(70516(a,2),61907(a,1,1,1)),rewrite([324(7)])]. 80946 L(x,x,x) \ ((x \ 1) * y) = (x \ 1) * (x \ y). [para(70516(a,2),67715(a,1,1)),rewrite([62160(10),68101(9)])]. 80947 T(x,x \ 1) \ y = L(x,x,x) \ y. [para(70516(a,2),68073(a,2,1)),rewrite([62160(5),68101(7),68844(7)])]. 80975 K(x,T(y,z) * ((z \ 1) \ 1)) = K(x,(1 / z) \ y). [back_rewrite(80891),rewrite([80892(10)])]. 81065 x * ((1 / x) \ y) = (x * x) * y. [para(340(a,1),80946(a,1,2,1)),rewrite([26402(7),26414(7),28057(5),28083(5),65058(3),67715(4),340(6)]),flip(a)]. 81118 L(x,x,x) \ L(y,x,x) = (1 / x) * y. [para(13287(a,1),80946(a,1,2)),rewrite([22934(5),8951(10),9183(10)])]. 81181 (x \ 1) * (x \ (y * ((x \ 1) \ 1))) = (1 / x) * T(y,x). [para(61614(a,2),80946(a,1,2)),rewrite([60848(6),49(4),324(3),26414(7),28083(5),81118(4)]),flip(a)]. 81194 L(x,x,x) * ((x \ 1) \ y) = (x * x) * y. [para(70516(a,2),80946(a,2,1)),rewrite([26414(7),28083(5),60426(3),49(4),71407(8)]),flip(a)]. 81376 x \ (a(y,z,u) * ((x * x) * w)) = (1 / x) \ (w * a(y,z,u)). [hyper(5083,a,15015,a,b,81065,a),rewrite([320(3)])]. 81378 x \ L((x * x) * y,z,u) = (1 / x) \ L(y,z,u). [hyper(5083,a,13542,a,b,81065,a),rewrite([25958(5),26458(6),9138(5),168(4),410(3)])]. 81383 (1 / x) \ (a(a(y,z,u),w,v5) * v6) = ((1 / x) \ v6) * a(a(y,z,u),w,v5). [hyper(5083,a,7730,a,b,81065,a),rewrite([7733(4),20189(5),81376(6),70966(6)]),flip(a)]. 81391 (1 / x) \ (x \ y) = x \ ((x \ 1) \ y). [hyper(5083,a,68073,a(flip),b,81065,a),flip(a)]. 81403 (1 / x) \ a(a(y,z,u),w,v5) = x * a(a(y,z,u),w,v5). [hyper(5083,a,7733,a(flip),b,81065,a),rewrite([50(5)]),flip(a)]. 81422 (x * x) * (K(y,z) * u) = x * ((K(z,y) / x) \ u). [hyper(5081,a,9566,a,b,81065,a),rewrite([9566(4),75801(9)])]. 81445 K(x * x,x \ 1) = K(x,x \ 1). [hyper(266,a,197,a,b,81065,a),rewrite([22924(3),23270(4),61746(8),3776(9),64714(7)])]. 81530 (x * x) * (y * (1 / x)) = x * T(y,x \ 1). [para(58(a,1),81065(a,1,2)),rewrite([23218(3)]),flip(a)]. 81569 x * (a(y,z,a(u,w,v5)) \ ((1 / x) \ v6)) = (x * x) * (a(y,z,a(u,w,v5)) \ v6). [para(12822(a,2),81065(a,1,2))]. 81606 x * (a(a(y,z,u),w,v5) \ ((1 / x) \ v6)) = (x * x) * (a(a(y,z,u),w,v5) \ v6). [para(28887(a,2),81065(a,1,2))]. 81614 K(x,T((1 / y) \ z,y)) = K(x,z / (1 / y)). [para(81065(a,1),36132(a,1,2,2)),rewrite([68213(6),26896(7),34821(5)]),flip(a)]. 81667 x * (R(x,y,z) * ((1 / x) \ u)) = R(x,y,z) * ((x * x) * u). [para(81065(a,1),63041(a,1,2)),flip(a)]. 81669 (x \ 1) \ ((x * x) * y) = (x * x) * ((1 / x) \ y). [para(81065(a,1),67715(a,1,2))]. 81670 (x \ 1) \ L(x,y,z) = x * L(x,y,z). [para(69874(a,1),81065(a,1,2)),rewrite([340(4),64245(9),70241(9),68073(6)]),flip(a)]. 81685 L(x,y,z) * a(a(u,w,v5),v6,v7) = L(a(a(u,w,v5),v6,v7) * x,y,z). [back_rewrite(71766),rewrite([81383(8),81391(5),81670(4),50(3)])]. 81962 L(x,x,x) * (((x \ 1) \ 1) \ y) = y. [hyper(7088,a,81194,a,b,8271,a(flip)),rewrite([561(3),16922(11),68847(8),69234(11),19453(11),32627(10),57720(7)]),flip(a)]. 82013 R(x,x,x) = L(x,x,x). [hyper(5142,a,14463,a,b,81194,a),rewrite([409(1),409(5),61612(5),147(4),369(2),526(2)])]. 82094 (a(x,y,z) \ 1) \ (K(u,w) * v5) = (a(x,y,z) \ K(w,u)) \ v5. [hyper(5083,a,15112,a,b,81194,a),rewrite([5524(4),15112(7),81422(7),6706(5),50(8)]),flip(a)]. 82112 L(x,x,x) \ ((x \ 1) \ y) = (x \ 1) \ (x \ y). [hyper(5083,a,68073,a(flip),b,81194,a)]. 82128 (L(x,x,x) \ y) * (x * x) = (x \ 1) \ T(y,x * x). [hyper(5083,a,410,a(flip),b,81194,a),rewrite([70971(4)])]. 82158 (x * x) * (y * (z / (x * x))) = T(y * z,x \ (x \ 1)). [hyper(5081,a,7713,a,b,81194,a),rewrite([22473(4),74281(5),77814(5),77944(5),72153(5),72446(11),81194(13)]),flip(a)]. 82324 L(1 / x,y,z) * ((L(x \ 1,y,z) \ 1) \ u) = (L(x \ 1,y,z) * L(x \ 1,y,z)) * u. [para(70578(a,1),81194(a,1,1)),rewrite([80783(8)])]. 82441 (a(x,y,z) \ K(u,T(w,v5))) \ v5 = ((a(x,y,z) \ 1) \ v5) * K(w,u). [para(2729(a,1),82094(a,1,2)),rewrite([41109(6),1039(9)]),flip(a)]. 82475 (a(x,y,z) \ K(u,w)) * (a(x,y,z) \ K(u,w)) = K(u,w) * (a(x,y,z) \ (a(x,y,z) \ K(u,w))). [para(82094(a,2),61612(a,1,1)),rewrite([49(6),31864(5),12023(7)]),flip(a)]. 82567 L(x,x,x) \ (y * y) = (1 / x) * (y * y). [hyper(5081,a,62166,a,b,80800,a),rewrite([69340(6)]),flip(a)]. 82581 L(x,x,x) \ L(L(y,x,x),z,u) = (1 / x) * L(y,z,u). [hyper(5081,a,62148,a(flip),b,80800,a),rewrite([69340(6),26414(14),26414(12),28083(10),28083(8)]),flip(a)]. 82653 L(T(x,(x \ 1) * y),x,x) = (L(x,x,x) \ y) \ y. [para(80800(a,1),411(a,1,2)),rewrite([60848(7),324(6),60(5)])]. 82654 T((x \ 1) \ 1,(x \ 1) * y) = (L(x,x,x) \ y) \ y. [para(80800(a,2),411(a,2,1)),rewrite([60848(10),324(9)])]. 82659 T(x,y \ (L(z,z,z) \ u)) = T(x,y \ (((z \ 1) \ 1) \ u)). [para(80800(a,1),12024(a,2,2,2)),rewrite([12024(4)])]. 82837 L(x,y * (z * y),u) = L(x,L(z,y,y),u). [para(251(a,1),25754(a,1,2,2)),rewrite([9669(4),26536(5),27485(7)])]. 82889 L(x,L(L(y * (y * z),u,w),v5,v6),v7) = L(x,L(L(L(z,y,y),u,w),v5,v6),v7). [para(417(a,1),25754(a,2,2)),rewrite([25976(4),25976(3)])]. 82949 L(x,y * ((z \ u) \ u),w) = L(x,y * z,w). [para(337(a,1),77774(a,1,2,2)),flip(a)]. 82976 L(x,y \ L(y,z,u),w) = L(x,y * L(y,z,u),w). [para(63806(a,1),77774(a,2,2)),rewrite([71788(4),25716(5)]),flip(a)]. 82989 L(x,y \ L(y \ 1,z,u),w) = L(x,y * L(y,z,u),w). [back_rewrite(70223),rewrite([82976(8)])]. 82992 L(x,(y \ z) \ L(T(y,u) \ z,w,v5),v6) = L(x,(y \ z) * L(y \ z,w,v5),v6). [back_rewrite(64150),rewrite([82976(11)])]. 83096 L(x,y,z * ((u * u) \ w)) = L(x,y,z * w). [para(5(a,1),31118(a,2,3)),rewrite([76165(5),31118(6),12144(8)])]. 83097 L(x,y,z * ((u * u) * w)) = L(x,y,z * w). [para(6(a,1),31118(a,2,3)),rewrite([23196(4),26244(6),31118(4)]),flip(a)]. 83104 L(x,y,(z \ 1) * u) = L(x,y,z * u). [para(2244(a,1),31118(a,1,3,1)),rewrite([46365(9)])]. 83105 L(x,y,z * (K(u,w) * v5)) = L(x,y,z * v5). [para(7724(a,1),31118(a,2,3)),rewrite([71360(4),7725(5),31118(6),12075(8)])]. 83128 L(x,y,(z \ K(u,w)) * v5) = L(x,y,z * v5). [para(31945(a,1),31118(a,2,3)),rewrite([337(4),83105(4)]),flip(a)]. 83134 L(x,y,(T(z,u) * w) * v5) = L(x,y,(z * w) * v5). [para(8630(a,1),31118(a,2,3)),rewrite([9510(3),48(3),12075(5)]),flip(a)]. 83135 L(x,y,(T(z,u) \ w) * v5) = L(x,y,(z \ w) * v5). [para(11267(a,1),31118(a,2,3)),rewrite([9510(3),48(3),12075(5)]),flip(a)]. 83146 L(x,y,z \ L(z,u,w)) = L(x,y,z * L(z,u,w)). [para(63806(a,1),31118(a,2,3)),rewrite([73507(7),31118(5),13654(2)]),flip(a)]. 83147 L(x,y,(z \ 1) \ u) = L(x,y,z \ u). [para(68073(a,1),31118(a,2,3)),rewrite([67502(3),66988(5),25316(4)]),flip(a)]. 83148 L(x,y,(z * (u \ 1)) * w) = L(x,y,(z * u) * w). [para(72702(a,1),31118(a,2,3)),rewrite([83096(7),31118(5)]),flip(a)]. 83149 L(x,y,z * (u * z)) = L(x,y,L(u,z,z)). [para(61614(a,2),31118(a,1,3)),rewrite([340(4),26402(6),26414(6),28057(4),28083(4),26400(3),340(6)]),flip(a)]. 83220 L(x,y,(z \ (u * u)) \ w) = L(x,y,z \ w). [back_rewrite(66602),rewrite([83147(8)])]. 83236 L(x,y,z * L(1 / z,u,w)) = L(x,y,z * L(z,u,w)). [hyper(5081,a,31118,a(flip),b,83146,a),rewrite([64245(11),70241(11),83146(8)])]. 83239 L(x \ L(x,y,z),x * L(x,y,z),x * L(x,y,z)) = x \ L(x,y,z). [hyper(295,a,70516,a(flip),b,83146,a),rewrite([78551(6),82976(9)]),flip(a)]. 83267 L(x,y,L(z,u,w) \ L(L(z,v5,v6),u,w)) = L(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)). [para(64(a,1),83146(a,1,3,2))]. 83298 L(x,y,L(z,u,w) * L(L(K(v5,v6) * z,u,w),v7,v8)) = L(x,y,L(z,u,w) * L(L(z,u,w),v7,v8)). [para(27440(a,1),83146(a,2,3)),rewrite([27503(8),26458(7),26458(6),5784(5),83146(5),12075(14)]),flip(a)]. 83321 ((x \ L(x,y,z)) \ 1) * ((x \ L(x,y,z)) \ u) = ((x \ L(x,y,z)) * (x \ L(x,y,z))) \ u. [para(83146(a,1),80946(a,1,1)),rewrite([82976(7),83239(7),61822(8)]),flip(a)]. 83322 (x \ L(x,y,z)) * (((x \ L(x,y,z)) \ 1) \ u) = ((x \ L(x,y,z)) * (x \ L(x,y,z))) * u. [para(83146(a,1),81194(a,1,1)),rewrite([82976(7),83239(7)])]. 83339 L(x,y,(z * a(u,w,v5)) * v6) = L(x,y,a(u,w,v5) * (z * v6)). [para(5(a,1),20235(a,2,3,2)),rewrite([15159(5),12144(6),83097(10)])]. 83407 L(x,y,a(z,u,w) \ v5) = L(x,y,a(z,u,w) * v5). [para(68073(a,1),20235(a,1,3)),rewrite([83147(5),51(8)])]. 83421 L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) * w) = w \ ((a(x,y,z) \ w) * u). [back_rewrite(60536),rewrite([83407(6)])]. 83469 L(x,y,(z \ (u * u)) * w) = L(x,y,z * w). [para(6(a,2),83104(a,1,3)),rewrite([62166(4),83097(8)])]. 83490 L(x,y,((1 / z) * u) * w) = L(x,y,(z * u) * w). [para(26378(a,2),83104(a,1,3,1)),rewrite([49(4),83469(5)]),flip(a)]. 83581 L(x,y,((1 / z) * u) \ w) = L(x,y,(z * u) \ w). [para(26378(a,2),83147(a,1,3,1)),rewrite([49(4),83220(5)]),flip(a)]. 83585 L(x,y,(T(z,u) * w) \ v5) = L(x,y,(z * w) \ v5). [para(52208(a,1),83147(a,2,3)),rewrite([42507(8),83147(6)])]. 83591 L(x,y,L(z \ 1,u,w)) = L(x,y,L(z,u,w)). [para(69874(a,1),83147(a,2,3)),rewrite([63788(5),26400(5)]),flip(a)]. 83626 L(L(x \ 1,y,z),L(x,y,z),L(x,y,z)) = L(1 / x,y,z). [back_rewrite(80783),rewrite([83591(8)])]. 83639 L(x,y,L(z / u,w,v5)) = L(x,y,L(u \ z,w,v5)). [back_rewrite(70543),rewrite([83591(5),83591(8)])]. 83648 L(x,y,L(z \ K(u,w),v5,v6)) = L(x,y,L(z,v5,v6)). [back_rewrite(75819),rewrite([83639(4),83639(8),83591(8)])]. 83657 L(x,y,z * L(K(u,w) * v5,v6,v7)) = L(x,y,z * L(v5,v6,v7)). [para(24422(a,2),12075(a,1,3)),rewrite([5539(4),7725(4),26458(3),46365(10)])]. 83659 L(x,y,z * a(u,a(w,v5,v6),v7)) = L(x,y,z). [para(7734(a,2),12075(a,1,3)),rewrite([7734(5),29824(6),12075(3)]),flip(a)]. 83661 L(x,y,z * (u / w)) = L(x,y,z * (w \ u)). [para(77335(a,1),12075(a,1,3)),rewrite([562(4),25262(5)])]. 83672 L(x,a(y,a(z,u,w),v5) * v6,v7) = L(x,v6,v7). [back_rewrite(79037),rewrite([83659(8)])]. 83724 L(x,y,z * T(u,w)) = L(x,y,z * u). [para(52(a,1),83661(a,1,3,2)),rewrite([58(4)]),flip(a)]. 83736 L(x,y,z * ((u \ w) \ w)) = L(x,y,z * u). [para(337(a,1),83661(a,1,3,2)),flip(a)]. 83742 L(x,y,z * R(T(u,w),v5,v6)) = L(x,y,z * R(u,v5,v6)). [para(2597(a,1),83661(a,1,3,2)),rewrite([83724(6),83661(5),50(3),50(7)]),flip(a)]. 83761 L(x,y,z * L(T(u,u \ 1),w,v5)) = L(x,y,z * L(u,w,v5)). [para(63799(a,1),83661(a,1,3,2)),rewrite([63788(8)]),flip(a)]. 83804 (x * T(y,z)) * (y * u) = (x * y) * (T(y,z) * u). [back_rewrite(24329),rewrite([83724(6),28060(6)]),flip(a)]. 84077 (x * y) * (T(y,x) * z) = (y * x) * (y * z). [para(410(a,1),83804(a,1,1)),flip(a)]. 84326 T(x * y,y * x) = x * y. [hyper(7088,a,61612,a,b,84077,a),rewrite([220(4),409(3),61612(8),52457(7),58(6)]),flip(a)]. 84413 (x * y) \ (T(y * x,y) * y) = x \ T(y * x,y). [hyper(5083,a,210,a(flip),b,84077,a),rewrite([6775(8,R),1323(9),6775(7,R),41405(9)])]. 84428 T((x * y) * y,K(x,y)) = (x * y) * y. [hyper(5081,a,9670,a(flip),b,84077,a),rewrite([562(4),52958(8),235(8)])]. 84431 (x * y) * R(y,x,y) = T(y * x,y) * y. [hyper(5081,a,210,a(flip),b,84077,a),rewrite([192(8)]),flip(a)]. 84892 L(x,y,L(z \ a(u,w,a(v5,v6,v7)),v8,v9)) = L(x,y,L(z,v8,v9)). [hyper(295,a,13059,a,b,83591,a),rewrite([17022(6),12981(5)])]. 84928 L(x,y,L(L(z \ u,z,u),w,v5)) = L(x,y,L((1 / u) * z,w,v5)). [para(26452(a,2),83591(a,1,3,1)),rewrite([26414(4)])]. 84933 L(x,y,L(z \ u,z \ u,z)) = L(x,y,u \ z). [para(60487(a,1),83591(a,1,3)),rewrite([49(2)]),flip(a)]. 84941 L(L(x \ K(y,z),u,w),L(x,u,w),L(x,u,w)) = L((1 / x) * K(y,z),u,w). [hyper(295,a,70516,a(flip),b,83648,a),rewrite([71522(7),57871(6),71342(6),79006(13)]),flip(a)]. 84964 L(x,y,L((K(z,u) / w) * v5,v6,v7)) = L(x,y,L((1 / w) * v5,v6,v7)). [para(26452(a,2),83648(a,1,3,1)),rewrite([27381(4),84928(4)]),flip(a)]. 84989 L(x,y,R(T(z,u),w,v5) * v6) = L(x,y,R(z,w,v5) * v6). [para(61(a,1),46365(a,1,3,1))]. 84993 L(x,y,(z / u) * w) = L(x,y,(u \ z) * w). [para(246(a,1),46365(a,1,3,1)),flip(a)]. 85122 L(x,y,y) * a(y,y,x) = x. [hyper(5457,a,26307,a)]. 85130 a(x,x,y) \ y = L(y,x,x). [hyper(271,a,6743,a,b,26307,a)]. 85138 L(L(x,y,y),z,u) \ L(x,z,u) = a(y,y,L(x,z,u)). [para(64(a,1),26307(a,1,1))]. 85176 L(a(x,x,y),L(y,x,x),z) = (z * L(y,x,x)) \ (z * y). [para(26307(a,1),382(a,1,1))]. 85268 L(x,y,z * (u * (u * w))) = L(x,y,z * L(w,u,u)). [para(380(a,1),83097(a,1,3,2))]. 85286 L(x,y,z * (T(u,w * w) \ v5)) = L(x,y,z * (u \ ((w * w) * v5))). [para(50010(a,2),83097(a,1,3,2)),rewrite([68041(4)]),flip(a)]. 85295 L(x,y,z * ((u \ 1) \ w)) = L(x,y,z * (u \ w)). [para(68073(a,1),83097(a,1,3,2))]. 85333 L(x,y,z * ((u * w) * (w * u))) = L(x,y,z). [para(55(a,1),85295(a,2,3,2)),rewrite([68805(5),26403(8)])]. 85344 L(x,y,z * ((u \ K(w,v5)) \ v6)) = L(x,y,z * (u \ v6)). [para(7725(a,1),85295(a,1,3)),rewrite([31968(5),7725(9),83105(10)])]. 85349 L(x,y,z * (u \ (K(w,v5) * v6))) = L(x,y,z * (u \ v6)). [para(11961(a,1),85295(a,1,3,2,1)),rewrite([49(3),85344(5),11961(6)]),flip(a)]. 85356 L(x,y,z * (T(u,w) * (v5 \ 1))) = L(x,y,z * (T(u,w) * v5)). [para(2467(a,1),85295(a,2,3,2)),rewrite([73797(8),83724(8)]),flip(a)]. 85365 L(x,y,z * ((u \ 1) * w)) = L(x,y,z * (u * w)). [para(22931(a,1),85295(a,2,3,2)),rewrite([340(4),28098(2)])]. 85372 L(x,y,z * (T(u,w) \ v5)) = L(x,y,z * (u \ v5)). [para(12020(a,1),85295(a,1,3,2)),rewrite([85295(6),43819(7),83105(9)])]. 85376 L(x,y,z * ((T(u,w) * v5) \ v6)) = L(x,y,z * ((u * v5) \ v6)). [para(52208(a,1),85295(a,2,3,2)),rewrite([85349(9),85295(7)])]. 85383 L(x,y,z * (u \ L(u,w,v5))) = L(x,y,z * (u * L(u,w,v5))). [para(63806(a,2),85295(a,2,3,2)),rewrite([81670(4),63806(8)]),flip(a)]. 85389 L(x,y,z * L(u \ 1,w,v5)) = L(x,y,z * L(u,w,v5)). [para(69874(a,1),85295(a,2,3,2)),rewrite([63788(5),83761(6)]),flip(a)]. 85397 L(x,y,z * (u \ ((w * w) * v5))) = L(x,y,z * (u \ v5)). [back_rewrite(85286),rewrite([85372(5)]),flip(a)]. 85435 L(x,y,(z \ u) * z) = L(x,y,u). [para(51(a,1),83736(a,1,3)),flip(a)]. 85450 L(x,y,z * ((u \ w) \ (a(a(v5,v6,v7),v8,v9) * w))) = L(x,y,z * u). [para(11962(a,1),83736(a,1,3,2,1)),rewrite([31153(5),20240(12)])]. 85452 L(x,y,z * (u * (w * K(v5,v6)))) = L(x,y,z * (u * w)). [para(12013(a,1),83736(a,1,3,2,1)),rewrite([11961(5),85349(7),83736(5)]),flip(a)]. 85459 L(x,y,z * (u * (w * a(a(v5,v6,v7),v8,v9)))) = L(x,y,z * (u * w)). [para(28791(a,1),83736(a,1,3,2,1)),rewrite([30953(6),85450(8)]),flip(a)]. 85462 L(x,y,z * ((1 / u) * w)) = L(x,y,z * (u * w)). [para(26378(a,1),83736(a,1,3,2,1)),rewrite([85397(9),83736(7)])]. 85465 L(x,y,z * (T(u,w) * v5)) = L(x,y,z * (u * v5)). [para(52208(a,1),83736(a,1,3,2,1)),rewrite([85349(7),83736(5)]),flip(a)]. 85484 L(x,y,z * (u * (w \ 1))) = L(x,y,z * (u * w)). [back_rewrite(85356),rewrite([85465(6),85465(9)])]. 85526 L(x,y,(z * u) * z) = L(x,y,L(u,z,z)). [para(22931(a,1),85435(a,1,3,1)),rewrite([83661(5),73507(5)])]. 85618 L(x,y,L((z / u) * w,u,u)) = L(x,y,L((u \ z) * w,u,u)). [para(13288(a,1),85526(a,1,3,1)),rewrite([83724(7),85526(5),25262(11),26536(9)])]. 85668 L(x,y,L((z \ 1) * u,z,z)) = L(x,y,L(u,z,z) * z). [para(61613(a,1),85526(a,1,3,1)),flip(a)]. 85720 L(x,y,z * (u * (K(w,v5) * v6))) = L(x,y,z * (u * v6)). [para(13288(a,2),83105(a,1,3,2)),rewrite([5754(3),2598(4),37797(3),5754(4),7724(5),9085(6),74(2),7755(4),85465(5),9510(5),7725(6)]),flip(a)]. 85750 L(x,y,(z * (u \ K(w,v5))) * v6) = L(x,y,(z * u) * v6). [para(72702(a,1),83105(a,2,3)),rewrite([73425(6),83148(10)])]. 85753 L(x,y,z * (u * (w / v5))) = L(x,y,z * (u * (v5 \ w))). [para(77335(a,1),83105(a,1,3,2)),rewrite([562(4),83724(6)])]. 85790 L(x,y,z * (u * (w * (v5 * K(v6,v7))))) = L(x,y,z * (u * (w * v5))). [para(7687(a,2),85452(a,1,3,2,2)),rewrite([10(2),48(5)])]. 85799 L(x,y,z * (u * (w \ K(v5,v6)))) = L(x,y,z * (u * w)). [para(2467(a,2),85452(a,2,3,2)),rewrite([31850(5),85465(6),2467(11),85484(11),85465(9)])]. 85812 L(x,y,z * (((u * w) / u) * (u * v5))) = L(x,y,z * (w * (T(u,w) * v5))). [para(32795(a,1),85452(a,2,3,2)),rewrite([7726(5),85790(8)])]. 85822 L(x,y,z * (u * (w * (v5 \ K(v6,v7))))) = L(x,y,z * (u * (w * (v5 \ 1)))). [para(72702(a,2),85452(a,1,3,2,2)),rewrite([67625(4),73935(5),51(4)])]. 85875 L(x,y,z * L(T(u,w),v5,v6)) = L(x,y,z * L(u,v5,v6)). [para(60(a,1),83724(a,1,3,2))]. 85886 L(x,y,z * (u * L(T(w,v5),v6,v7))) = L(x,y,z * (u * L(w,v6,v7))). [para(24271(a,1),83724(a,2,3)),rewrite([60(4),60(3),24271(5)])]. 85920 L(x,y,L(z * a(a(u,w,v5),v6,v7),v8,v9)) = L(x,y,L(z,v8,v9)). [para(49057(a,2),20234(a,1,3)),rewrite([81685(6),22173(5),26458(7),28733(6)])]. 85921 L(x,y,z * (u \ a(a(w,v5,v6),v7,v8))) = L(x,y,z * u). [para(72702(a,2),20234(a,1,3)),rewrite([72702(6),7733(6),66271(5),73507(9)])]. 85935 L(x,y,z \ u) \ ((u / z) * (y * x)) = T((u / z) * y,x). [para(26402(a,1),11664(a,1,1))]. 85938 ((x / y) * z) * L(u,z,y \ x) = (x / y) * (z * u). [para(26402(a,1),380(a,1,2))]. 85939 ((x / y) * z) * L(L(u,z,y \ x),w,v5) = (x / y) * (z * L(u,w,v5)). [para(26402(a,1),24271(a,1,2,1))]. 85966 K(x,T(y * L(T(z,u),w,v5),z)) = K(x,L(T(z,u),w,v5) * y). [hyper(7088,a,18820,a,b,39887,a),rewrite([6174(7),2598(6),2717(6),18820(15),26653(14),27402(15)])]. 86172 L(T(x,y),z,u) * L(L(T(x,y),z,u) \ w,v5,v6) = L(x,z,u) * L(L(x,z,u) \ w,v5,v6). [hyper(5081,a,207,a,b,18820,a),rewrite([207(7),26458(14),20018(13)])]. 86192 L(T(x,y),z,u) \ (L(T(x,w),z,u) * y) = T(K(x,w) * y,x). [hyper(7088,a,18820,a(flip),b,410,a),rewrite([60(6),37797(5),6174(5),9831(4),60(7),37797(6)]),flip(a)]. 86213 L(T(x,y),z,u) \ (L(T(x,w),z,u) * v5) = K(y,x) * (K(x,w) * v5). [hyper(5083,a,18820,a(flip),b,7760,a),rewrite([60(2),5537(8)])]. 86222 K(K(x,y) * z,x) = K(z,x). [para(18820(a,1),55(a,1,1)),rewrite([7724(7),49433(8),55(5),5537(2),5537(5)]),flip(a)]. 86225 ((x * L(y,z,u)) * (K(y,w) * v5)) / (L(T(y,w),z,u) * v5) = R(x,L(y,z,u),K(y,w) * v5). [para(18820(a,1),57(a,1,2))]. 86237 L(T(x,y),z,u) * x = L(x,z,u) * T(x,y). [para(168(a,1),18820(a,1,2)),flip(a)]. 86279 a(x,L(y,z,u),w) * (x * (L(T(y,v5),z,u) * w)) = (x * L(y,z,u)) * (K(y,v5) * w). [para(18820(a,1),7687(a,1,2,2)),rewrite([13929(4)])]. 86281 (x * L(y,z,u)) * (K(y,w) * v5) = (x * L(T(y,w),z,u)) * v5. [para(18820(a,2),7687(a,1,2,2)),rewrite([14785(3),18820(6),86279(7)])]. 86282 L(T(x,y),z,u) * (x * w) = L(x,z,u) * (T(x,y) * w). [para(7763(a,1),18820(a,1,2)),flip(a)]. 86308 L(x,y,z) * (a(u,w,v5) * (K(x,v6) * v7)) = L(T(x,v6),y,z) * (v7 * a(u,w,v5)). [para(15015(a,2),18820(a,1,2)),rewrite([5539(4)])]. 86499 K(x,y) * T(z,x) = T(K(x,y) * z,x). [back_rewrite(86192),rewrite([86213(6),8564(4)])]. 86505 R(x,L(y,z,u),K(y,w) * v5) = R(x,L(T(y,w),z,u),v5). [back_rewrite(86225),rewrite([86281(5),57(8)]),flip(a)]. 86573 T(x * (K(y,x) * a(a(z,u,w),v5,v6)),y) = x * a(a(z,u,w),v5,v6). [back_rewrite(28733),rewrite([86499(6),9138(5)])]. 86612 L(x,y,z) * T(x,u) = x * L(T(x,u),y,z). [hyper(295,a,410,a,b,86237,a),rewrite([60(3),1343(2)]),flip(a)]. 86616 T(x,y) * L(x,z,u) = x * L(T(x,y),z,u). [hyper(295,a,86237,a,b,13226,a(flip)),rewrite([6174(2),196(2),86237(3),86612(3),13654(6),7763(7)]),flip(a)]. 86723 L(x / y,z,u) * (y \ x) = L(y \ x,z,u) * (x / y). [para(246(a,1),86237(a,1,1,1)),rewrite([246(9)]),flip(a)]. 86817 L(T(x,y),z,u) * (K(w,v5) * x) = x * L(K(w,v5) * T(x,y),z,u). [para(86237(a,1),10794(a,1,2)),rewrite([6174(3),2717(3),86612(5),10794(6),26458(4)]),flip(a)]. 86820 T(T(x,y) * K(z,u),x) = K(z,u) * T(x,y). [para(86237(a,2),39358(a,1,1,2,2)),rewrite([86237(3),86612(3),27601(5),27562(4),2739(3),6174(6),24954(7)]),flip(a)]. 86834 L(x,y,z) * T(T(x,u),w) = x * L(T(T(x,u),w),y,z). [para(86237(a,2),49057(a,1,2)),rewrite([86237(6),86612(6),8487(7)]),flip(a)]. 86904 L(T(x,y),z,u) * x = x * L(T(x,y),z,u). [back_rewrite(86237),rewrite([86612(6)])]. 86917 T(x,y) * K(z,T(u,x)) = K(z,u) * T(x,y). [back_rewrite(24954),rewrite([86820(8)])]. 86937 a(a(x,y,z),u,w) * L(v5,v6,v7) = L(v5 * a(a(x,y,z),u,w),v6,v7). [hyper(7088,a,7730,a(flip),b,86612,a),rewrite([60(9),4481(8),70950(18),28892(17),9084(16),26458(15),86499(14),9138(13),86573(14),28988(13),58(12),561(9)]),flip(a)]. 87006 L(x \ y,z,u) * (y / x) = (y / x) * L(x \ y,z,u). [para(246(a,1),86612(a,1,2)),rewrite([86723(4),246(8)])]. 87047 L(x \ (a(a(y,z,u),w,v5) * v6),v7,v8) = L((x \ v6) * a(a(y,z,u),w,v5),v7,v8). [back_rewrite(31146),rewrite([86937(5)]),flip(a)]. 87054 L(x / y,z,u) * (y \ x) = (x / y) * L(y \ x,z,u). [back_rewrite(86723),rewrite([87006(8)])]. 87067 a(L((x \ y) * a(a(z,u,w),v5,v6),v7,v8),v9,v10) = a(L(x \ y,v7,v8),v9,v10). [back_rewrite(70646),rewrite([87047(5)])]. 87122 T(x * y,T(x,y)) = T(x * y,x). [hyper(295,a,10800,a(flip),b,86499,a),rewrite([9138(6),168(5),410(5)])]. 87167 T(K(x,y) * z,x) * u = K(x,y) * (T(z,x) * u). [para(86499(a,1),7687(a,2,1)),rewrite([13927(3),8(2),48(6)]),flip(a)]. 87239 T(x,K(y,K(z,u) * (w * T(v5,u)))) = T(x,K(y,w * T(K(u,z) * v5,u))). [para(86499(a,1),44812(a,2,2,2,2)),rewrite([5754(2),7724(4)])]. 87504 R(x,L(y * K(z,u),w,v5),v6) = R(x,L(y,w,v5),K(z,u) * v6). [para(33598(a,2),57(a,1,1,1)),rewrite([33598(5),27442(5),27438(9),57(10)]),flip(a)]. 87630 T(x,K(y,K(z,u) * (L(w,v5,v6) * v7))) = T(x,K(y,v7 * L(w * K(u,z),v5,v6))). [para(33598(a,2),44462(a,2,2,2)),rewrite([27446(4),74691(6),33598(11)])]. 87804 ((x * x) \ y) * L(z * (x * x),u,w) = T(y * L(z,u,w),x * x). [para(25958(a,1),11664(a,1,2,2)),rewrite([322(3),22473(6)])]. 87873 L(((x \ y) \ z) * (u * u),x \ y,x) = (y \ (x * z)) * (u * u). [para(60487(a,1),25958(a,1,1)),flip(a)]. 87879 a(x,y,L(z * (u * u),w,v5)) = a(x,y,L(z,w,v5)). [para(25958(a,1),72789(a,2,3)),rewrite([72752(6),14988(4),72770(4)]),flip(a)]. 88331 T(x,T(y / (z * y),u)) = T(x,T(z \ 1,u)). [para(335(a,1),35720(a,1,2,1,1)),rewrite([23293(4)]),flip(a)]. 88621 T(x,T(x,y) * z) = T(x,x * z). [para(36132(a,1),3856(a,1,2)),rewrite([4773(2),1391(5),562(4),11427(4),9138(3),9241(4),4773(5)])]. 88702 T(x,T(K(y,z) * x,u)) = T(x,K(z,y)). [hyper(5081,a,5739,a,b,4481,a),rewrite([5739(4),9760(7),9805(8),9760(6),36491(6)]),flip(a)]. 88805 R(x,y \ (1 / y),z) = x. [para(31938(a,2),392(a,1,2)),rewrite([31938(7),62160(5)])]. 89113 K(x,y * z) * (z \ T(z * y,x)) = y. [para(567(a,1),26455(a,2,1,1)),rewrite([82(4),5539(3),41141(3),12023(6)]),flip(a)]. 89159 K(x,y) * T(y,T(x,z)) = T(y * K(x,y),T(x,z)). [para(1343(a,1),5698(a,1,2,2))]. 89168 (x * y) \ T(y * K(z,y),T(z,x)) = L(T(x,T(y,z)) \ 1,x,y). [back_rewrite(58112),rewrite([89159(5)])]. 89173 T(x,a(y,z,y) \ 1) = x. [hyper(295,a,61614,a(flip),b,5526,a),rewrite([29897(6),49(2)]),flip(a)]. 89186 x * (a(y,z,y) \ 1) = a(y,z,y) \ x. [hyper(5083,a,5526,a(flip),b,61614,a(flip)),rewrite([89173(5)]),flip(a)]. 89198 L(x,a(y,z,y) * u,w) = L(x,u,w * a(y,z,y)). [para(5526(a,1),24266(a,1,2,2,1)),rewrite([7749(7),24267(8),5527(2),5526(5)])]. 89213 T(x * a(y,z,y),a(y,z,y) \ u) = (a(y,z,y) \ u) \ (x * u). [para(5526(a,1),11770(a,1,1)),flip(a)]. 89214 T((x / y) * a(z,u,z),a(z,u,z) \ y) = (a(z,u,z) \ y) \ x. [para(5526(a,1),77147(a,1,1)),flip(a)]. 89226 (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). [hyper(295,a,60487,a(flip),b,5527,a),flip(a)]. 89231 (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). [hyper(295,a,11892,a(flip),b,5527,a)]. 89232 (x \ (a(y,z,y) \ u)) * a(y,z,y) = x \ u. [hyper(273,a,11972,a,b,5527,a),rewrite([561(2),70964(6),89231(4)]),flip(a)]. 89234 x \ (a(y,z,y) * (u * x)) = T(a(y,z,y) * u,x). [para(5527(a,1),11664(a,1,1))]. 89242 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x,a(y,z,y) * u,w). [para(5527(a,1),24265(a,1,2,2)),rewrite([5527(13)])]. 89261 T((x / y) * a(z,u,z),a(z,u,z) \ y) = y \ (a(z,u,z) * x). [back_rewrite(89214),rewrite([89226(9)])]. 89262 T(x * a(y,z,y),a(y,z,y) \ u) = T(a(y,z,y) * x,u). [back_rewrite(89213),rewrite([89226(9),89234(9)])]. 89265 (x * y) \ (x * (a(z,u,z) \ y)) = a(z,u,z) \ 1. [back_rewrite(58299),rewrite([89231(5),29936(4)])]. 89267 T(a(x,y,x) * (z / u),u) = u \ (a(x,y,x) * z). [back_rewrite(89261),rewrite([89262(6)])]. 89292 (x / y) * L(y \ x,z,u) = (y \ x) * L(x / y,z,u). [para(6737(a,1),13542(a,1,1)),rewrite([87054(5),48(6)])]. 89306 T((K(x,y) / z) * (K(x,y) / z),z) = ((z \ 1) \ K(y,x)) \ (K(x,y) / z). [hyper(7088,a,75459,a,b,23177,a),rewrite([80896(9),60848(10),41109(9),324(7),39016(8),80896(10),75459(14)])]. 89311 T((x \ y) * (x \ y),y \ x) = (1 / (x \ y)) \ (x \ y). [hyper(7088,a,62943,a,b,23177,a),rewrite([23218(7),60848(7),49(5),62943(13)])]. 89762 T(x * (K(y,z) * x),x \ 1) = x * ((x \ 1) \ K(y,z)). [hyper(7088,a,23177,a(flip),b,9566,a(flip)),rewrite([7725(3),75568(8),75719(7),23218(6),75568(11),75719(10),41109(11),66480(11)])]. 89766 x / (x \ 1) = (1 / x) \ x. [hyper(5142,a,23177,a(flip),b,13995,a),rewrite([412(3),3334(6),66316(7)])]. 89794 L(x,y,y) \ (1 / y) = (y * (y * x)) \ y. [para(23177(a,1),25021(a,2,2)),rewrite([320(7)])]. 89801 K(x,(1 / y) \ y) = K(x,y * y). [para(23177(a,1),11014(a,1,2,2)),rewrite([2734(3),23218(6),23253(6)]),flip(a)]. 89811 x \ ((1 / x) \ x) = L(x,x,x). [para(23177(a,1),57973(a,1,1)),rewrite([23218(4),23253(4),22934(8),82567(7),22934(8)])]. 89885 ((x * y) \ x) * (y * y) = L(y,y,x). [para(23192(a,2),56(a,1,2,2)),rewrite([23192(4),70971(4)])]. 89886 (x * y) * (y \ 1) = R(x,y,y). [para(23192(a,2),57(a,1,2)),rewrite([23192(5),72446(4),61746(3)])]. 89903 L(x * y,x * y,x * y) = T(x * y,y \ (x \ 1)). [para(23192(a,1),7713(a,2,2)),rewrite([89801(9),10622(7),61830(7),12016(5),7714(7),22934(12)]),flip(a)]. 89905 R(x,a(y,z,u) \ 1,a(y,z,u)) = R(x,a(y,z,u),a(y,z,u)). [para(23192(a,2),15076(a,1,2)),rewrite([6706(8),89766(9),6706(7),61612(9),72446(8),72446(7),61746(6),31776(6)])]. 89931 (x * (y \ 1)) * L(y,y,y) = R(x,y,y). [back_rewrite(73679),rewrite([89886(9)])]. 89940 a(x,y,z) * (u * (a(x,y,z) \ 1)) = R(u,a(x,y,z),a(x,y,z)). [back_rewrite(31776),rewrite([89905(11)])]. 90188 (1 / x) * (T(x,x \ 1) * y) = x * ((1 / x) * y). [para(66904(a,1),9213(a,1,1)),rewrite([66975(11)])]. 90191 (x * (1 / y)) * T(y,y \ 1) = (x * y) * (1 / y). [para(66904(a,1),13995(a,1,1,2)),rewrite([73648(11)])]. 90192 (x * T(y,y \ 1)) * (1 / y) = R(x,y,y). [para(66904(a,1),13995(a,1,2)),rewrite([89886(11)])]. 90193 (x * L(1 / y,z,u)) * T(y,y \ 1) = (x * L(y \ 1,z,u)) * y. [para(66904(a,1),14160(a,1,1,2,1))]. 90284 T(x,a(a(y,z,u),w,v5) \ v6) = T(x,v6). [hyper(7088,a,80925,a,b,28754,a(flip)),rewrite([28754(11),28754(15),28754(19),20242(20),29427(17),28754(18),28754(22),20242(23),29427(20),30953(18),86937(17),81685(14),20095(11),89903(8),75278(12),51(10),49(7),58(6)])]. 90619 R(T(x,y),x,x) = L(T(x,y),x,x). [para(82013(a,1),61(a,1,1)),rewrite([60(2)]),flip(a)]. 90685 a(x,x,x) / x = x \ 1. [para(369(a,1),198(a,1,1)),rewrite([413(5),80817(5)])]. 90742 (x * y) / L(y,y,y) = x * a(y,y,y). [para(369(a,1),41552(a,2,2)),rewrite([413(3)])]. 90753 (L(x,x,x) \ y) * T(z,x \ y) = a(x,x,x) * (z * (x \ y)). [para(369(a,1),47565(a,2,1)),rewrite([413(2)])]. 90973 T(x,x * (x * y)) = L(T(x,y),x,x). [para(413(a,1),59(a,1,1)),rewrite([60(2),68576(5)]),flip(a)]. 91037 L(x,y,z) * L(x,x,x) = x * L(L(x,x,x),y,z). [para(413(a,1),86612(a,1,2)),rewrite([413(5)])]. 91467 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(295,a,3334,a,b,25190,a),rewrite([3334(4),411(4)])]. 91470 x / (L(y,z,u) \ y) = (L(y,z,u) \ y) \ x. [hyper(295,a,412,a(flip),b,25190,a),flip(a)]. 91472 T(L(x,y,z) \ x,u) = L(x,y,z) \ x. [hyper(286,a,25190,a)]. 91473 K(L(x,y,z) \ x,u) = 1. [hyper(5083,a,235,a(flip),b,25190,a(flip)),rewrite([323(1)]),flip(a)]. 91475 T(x,L(L(y,z,u),w,v5) \ L(y,w,v5)) = x. [para(64(a,1),25190(a,1,2,1))]. 91479 T(x,(L(y,z,u) \ y) * w) = T(x,w * (L(y,z,u) \ y)). [para(25190(a,1),220(a,1,2,1)),flip(a)]. 91483 x / L(x,y,z) = L(x,y,z) \ x. [para(25190(a,1),2244(a,1,2))]. 91502 (L(x,y,z) \ x) \ (K(u,w) * v5) = K(u,w) * ((L(x,y,z) \ x) \ v5). [para(25190(a,1),41963(a,1,1,2)),flip(a)]. 91528 R(L(x,y,z) \ x,u,L(x,y,z) \ x) = L(x,y,z) \ x. [para(34897(a,1),192(a,1,2)),rewrite([91472(3),49(4)]),flip(a)]. 91529 ((L(x,y,z) \ x) * u) * w = (u * (L(x,y,z) \ x)) * w. [para(34897(a,1),9670(a,1,2,2)),rewrite([49(5),91473(11),408(10)])]. 91573 a(x * y,y * x,x * y) = K(x * y,y \ (x \ 1)). [hyper(295,a,14794,a,b,50906,a),rewrite([12016(9)])]. 91579 K(x * y,y \ (x \ 1)) = K(x \ y,y \ x). [hyper(295,a,72789,a(flip),b,50906,a),rewrite([14777(8),50788(8),12534(6),46633(6),91573(4),12016(14),340(12),68811(10)])]. 91621 K(x,a(y,y,y) * z) = K(x,z). [para(50906(a,2),264(a,1,2,1)),rewrite([76431(8)])]. 91632 a(x,x,x) * (R(x \ 1,y,z) * x) = x * R(x \ 1,y,z). [para(50906(a,2),5593(a,1,1))]. 91686 a(x,x,x) * (y * x) = y * ((x \ 1) \ 1). [para(50906(a,2),13226(a,1,1)),rewrite([7275(7)])]. 91687 K(x,y * (z \ 1)) = K(x,y / z). [para(50906(a,2),53944(a,1,2,1)),rewrite([91621(6),66904(7),76040(8)])]. 91771 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [back_rewrite(91632),rewrite([91686(6),62944(8)])]. 91776 K(x,(1 / y) \ z) = K(x,y * z). [back_rewrite(80975),rewrite([91687(7),76482(5),229(3)]),flip(a)]. 91805 x * K(y,(x \ 1) * z) = K(y,z / x) * x. [back_rewrite(70133),rewrite([91687(4)]),flip(a)]. 91819 K(x,y * (z \ K(u,K(w,v5)))) = K(x,y / z). [back_rewrite(31912),rewrite([91687(9)])]. 91908 L(L(1 / x,y,z),x,x) = L(x \ 1,y,z). [para(65058(a,1),64(a,1,1)),flip(a)]. 91922 K(x,(y \ 1) * z) = K(x,y \ z). [para(65058(a,1),11568(a,1,2,2)),rewrite([23218(3),91687(7),76145(5),65058(5)]),flip(a)]. 91925 L(L(L(1 / x,y,z),u,w),x,x) = L(L(x \ 1,y,z),u,w). [para(65058(a,1),417(a,2,1,1))]. 91935 K(x,y / z) * z = z * K(x,z \ y). [back_rewrite(91805),rewrite([91922(4)]),flip(a)]. 91984 (x * (y \ (1 / y))) \ z = y * ((y \ 1) \ (x \ z)). [hyper(295,a,11892,a(flip),b,66013,a),rewrite([64765(10)])]. 91988 x / (y \ (1 / y)) = x * ((1 / y) \ y). [hyper(5083,a,66013,a(flip),b,61614,a(flip)),rewrite([64765(8),67655(8),64765(8),72495(7),51(6),64765(9),67655(9)])]. 92001 x / ((1 / y) \ y) = x * (y \ (1 / y)). [para(66013(a,1),57662(a,1,2)),rewrite([64765(5),67655(5)])]. 92009 (x * ((1 / y) \ y)) * z = x * (y * ((y \ 1) \ z)). [back_rewrite(74366),rewrite([91988(4)])]. 92013 (x \ 1) \ T(y,(1 / x) \ x) = x \ (y * ((1 / x) \ x)). [back_rewrite(72495),rewrite([91988(11)])]. 92023 K(x,y \ (z / x)) = K(x,y \ (x \ z)). [hyper(295,a,77814,a(flip),b,91922,a),rewrite([91922(5)]),flip(a)]. 92024 K(x,(y \ 1) / z) = K(x,y \ (1 / z)). [hyper(295,a,76040,a(flip),b,91922,a)]. 92038 T(x,(y \ 1) * z) = T(x,y \ z). [para(91922(a,1),149(a,1,2)),rewrite([149(3)]),flip(a)]. 92045 T(x,T((y \ 1) * z,u)) = T(x,T(y \ z,u)). [para(91922(a,1),186(a,1,2,2)),rewrite([7726(6),92038(7),41109(4),186(5)]),flip(a)]. 92099 K(x,L(y \ z,y,z) * u) = K(x,y \ ((1 / z) \ u)). [para(26452(a,2),91922(a,1,2,1)),rewrite([26414(4),12016(9)])]. 92138 K(x,y \ (z * T(u,y \ z))) = K(x,u / (z \ y)). [para(61907(a,1),91922(a,1,2)),rewrite([91687(5),49(6),60845(8)]),flip(a)]. 92148 K(x,T(y \ (z \ 1),z)) = K(x,z \ (1 / y)). [back_rewrite(36422),rewrite([92024(9)])]. 92217 (L(x,x,x) \ y) \ y = T(x,x * y). [back_rewrite(82654),rewrite([92038(8),75097(6)]),flip(a)]. 92218 L(T(x,x \ y),x,x) = T(x,x * y). [back_rewrite(82653),rewrite([92038(4),92217(6)])]. 92229 a(x,x,x) * (y * (x \ z)) = y * (((x \ 1) \ 1) \ z). [back_rewrite(80936),rewrite([92038(6),90753(5)])]. 92230 T(x,L(y,y,y) \ z) = T(x,y \ z). [back_rewrite(80929),rewrite([92038(7)])]. 92238 (x \ T(T(x * (y / x),z * (x \ (1 / x))),u)) * x = T(T(y,z),x \ (x \ u)). [back_rewrite(73158),rewrite([92038(16)])]. 92240 T(x,(1 / y) \ z) = T(x,y * z). [back_rewrite(71400),rewrite([92038(6),60848(4),324(3)]),flip(a)]. 92381 (L(x,x,x) \ y) * T(z,x \ y) = z * (((x \ 1) \ 1) \ y). [back_rewrite(90753),rewrite([92229(9)])]. 92384 (x \ 1) \ T(y,x * x) = x \ (y * ((1 / x) \ x)). [back_rewrite(92013),rewrite([92240(6)])]. 92441 (L(x,x,x) \ y) * (x * x) = x \ (y * ((1 / x) \ x)). [back_rewrite(82128),rewrite([92384(9)])]. 92470 T(x,T((1 / y) \ z,u)) = T(x,T(y * z,u)). [hyper(5083,a,92240,a(flip),b,5698,a),rewrite([5754(6),253(6)]),flip(a)]. 92473 T(x,y * ((1 / y) * z)) = T(x,z). [para(50(a,1),92240(a,1,2)),flip(a)]. 92476 K((1 / x) \ y,z) = K(x * y,z). [para(92240(a,1),84(a,1,2)),rewrite([84(3)]),flip(a)]. 92497 K(((1 / x) \ y) / z,T(u,x * y)) = K(z \ ((1 / x) \ y),u). [para(92240(a,1),242(a,1,2))]. 92543 T(x,(y \ K(z,u)) * w) = T(x,K(u,z) * (y \ w)). [para(31945(a,1),92240(a,2,2)),rewrite([337(4),43688(4)]),flip(a)]. 92564 T(x,y * L(1 / y,z,u)) = T(x,y \ L(y,z,u)). [para(63806(a,2),92240(a,1,2)),rewrite([340(7),207(4),69933(4)]),flip(a)]. 92649 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(5434,a,91483,a)]. 92656 ((L(x,y,z) \ x) \ u) \ u = L(x,y,z) \ x. [hyper(5081,a,340,a,b,91483,a),rewrite([91470(3),91483(6)])]. 92662 (L(x,y,z) \ x) * K(u,x) = x / L(T(x,u),y,z). [hyper(5142,a,91483,a(flip),b,41903,a),rewrite([6159(4),9510(4),60(6)])]. 92674 L(L(x,y,z),u,w) * (L(x,y,z) \ x) = (L(x,y,z) \ x) * L(L(x,y,z),u,w). [para(91483(a,2),18710(a,1,1)),rewrite([91483(2),91467(5)]),flip(a)]. 92675 ((x * (L(y,z,u) \ y)) * L(y,z,u)) / y = R(x,L(y,z,u) \ y,L(y,z,u)). [para(91483(a,1),403(a,1,1,1,2)),rewrite([91483(8)])]. 92696 (L(x,y,z) * u) \ (x * u) = (u * L(x,y,z)) \ (u * x). [para(91483(a,2),11972(a,1,1)),rewrite([91483(4),27485(7),60569(6),8513(5),9138(5),168(4),410(4),2195(7)]),flip(a)]. 92727 L(L(x,y,z) \ x,L(x,y,z) \ x,L(x,y,z) \ x) = L(x,y,z) \ x. [hyper(7088,a,91529,a,b,81194,a),rewrite([60848(13),324(12),60(11),4773(6,R),91472(6),66651(19),50(15),92656(11)])]. 92765 (L(x,y,z) \ 1) * (L(x,y,z) \ x) = (L(x,y,z) \ x) * (L(x,y,z) \ 1). [hyper(5142,a,68332,a(flip),b,91529,a),rewrite([70769(8)])]. 92829 (L(x,y,z) \ x) * (((L(x,y,z) \ x) \ 1) \ u) = ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * u. [hyper(5081,a,81194,a,b,91529,a),rewrite([92727(7)])]. 92839 ((L(x,y,z) \ x) * (L(x,y,z) \ 1)) * u = (L(x,y,z) \ 1) * (L(x,y,z) \ (x * u)). [hyper(5081,a,68332,a(flip),b,91529,a),flip(a)]. 92850 ((L(x,y,z) \ x) * (K(u,w) * v5)) * u = K(u,w) * ((v5 * (L(x,y,z) \ x)) * u). [hyper(295,a,13996,a,b,91529,a),rewrite([13996(7),7724(11),7724(12)])]. 92921 (K(x,y) * ((z * (L(u,w,v5) \ u)) * x)) / T(T(x,z),y) = T(z,x) * (L(u,w,v5) \ u). [hyper(5142,a,13996,a(flip),b,91529,a(flip)),rewrite([92850(6)])]. 93042 ((L(x,y,z) \ x) * (K(u,w) * v5)) * v6 = K(u,w) * ((v5 * (L(x,y,z) \ x)) * v6). [para(7724(a,1),91529(a,2,1)),rewrite([7724(12)])]. 93149 ((x * x) \ (L(y,z,u) \ y)) * w = (L(y,z,u) \ y) * ((x * x) \ w). [para(66988(a,1),91529(a,2,1)),rewrite([71999(6),72092(5)]),flip(a)]. 93251 L(T(x,y),z,u) * L(L(T(x,y),z,u),w,v5) = L(x,z,u) * L(L(T(T(x,y),y),z,u),w,v5). [hyper(5081,a,18820,a,b,13654,a),rewrite([26458(6),26458(5),3866(4),13654(12)]),flip(a)]. 93253 T(x,y) * L(T(x,y),z,u) = x * L(T(T(x,y),y),z,u). [hyper(295,a,18820,a,b,13654,a),rewrite([3866(4),86834(4)]),flip(a)]. 93300 L(L(x,y,z),u,w) * L(x,u,w) = L(x,u,w) * L(L(x,u,w),y,z). [para(64(a,1),13654(a,1,1))]. 93322 T(x,L(y,z,u) \ (y \ w)) = T(x,y \ (L(y,z,u) \ w)). [para(13654(a,1),12024(a,1,2,1)),rewrite([12024(4)])]. 93336 ((x * L(y,z,u)) * y) / (x * (y * L(y,z,u))) = a(x,L(y,z,u),y). [para(13654(a,1),7337(a,1,2,2))]. 93346 L((x * x) \ y,z,u) * y = ((x * x) \ y) * L(y,z,u). [para(13654(a,1),22473(a,1,2)),rewrite([22473(4),25944(7)]),flip(a)]. 93398 (x * L(x,y,z)) \ (L(x,y,z) * u) = L(x \ u,x,L(x,y,z)). [para(13654(a,1),382(a,2,1)),flip(a)]. 93401 ((x \ 1) \ y) * (x * y) = (x * y) * ((x \ 1) \ y). [para(60809(a,1),13654(a,1,1)),rewrite([60809(12)]),flip(a)]. 93404 (L(x,y,z) \ 1) \ (x * L(x,y,z)) = (L(x,y,z) * L(x,y,z)) * x. [para(13654(a,1),67715(a,1,2))]. 93467 L(L(x,y,z),u,w) \ (v5 * L(L(T(x,v6),y,z),u,w)) = T(v5 * K(x,v6),x). [hyper(5081,a,6174,a(flip),b,53814,a),rewrite([6159(2),60(7)]),flip(a)]. 93501 L(x / y,z,u) \ (w * L(y \ x,z,u)) = (x / y) \ (w * (y \ x)). [para(246(a,1),53814(a,1,2,2,1)),rewrite([34563(9),3588(9),2399(8),42123(11)])]. 93516 T(x * K(y,z),y) \ u = K(z,y) * (T(x,y) \ u). [para(53814(a,2),9113(a,2,1)),rewrite([38076(3),12023(4),38509(5),53814(9)]),flip(a)]. 93775 L(x,y,((z / u) \ (w * (u \ z))) * L(z / u,v5,v6)) = L(x,y,w * L(u \ z,v5,v6)). [para(93501(a,1),85435(a,1,3,1))]. 93778 (1 / x) \ (y * (x \ 1)) = (x \ 1) \ (y * (1 / x)). [para(65058(a,1),93501(a,1,1)),rewrite([60426(5),49(6)]),flip(a)]. 93970 L(((x \ 1) \ (y * (1 / x))) \ z,y,x) = (y * (x \ 1)) \ ((1 / x) * z). [para(93778(a,1),60487(a,1,1,1)),rewrite([93778(13),26402(16),26414(16),78910(14)])]. 93971 (x * (1 / y)) \ ((y \ 1) * z) = (x * (y \ 1)) \ ((1 / y) * z). [para(93778(a,2),60487(a,1,1,1)),rewrite([93778(6),26414(16),78910(14),93970(8)]),flip(a)]. 94061 R(x * K(y,x),z,u) \ L(R(x * K(y,x),z,u),w,v5) = R(x,z,u) \ L(R(x,z,u),w,v5). [para(189(a,1),64238(a,1,1,1)),rewrite([189(6),64238(6),64238(14)]),flip(a)]. 94062 R(x / y,z,u) \ L(R(x / y,z,u),w,v5) = R(y \ x,z,u) \ L(R(y \ x,z,u),w,v5). [para(246(a,1),64238(a,1,1,1)),rewrite([246(5)]),flip(a)]. 94071 a(L(R(T(x,y),z,u),w,v5),v6,v7) = a(L(R(x,z,u),w,v5),v6,v7). [para(64238(a,1),12556(a,1,1,1)),rewrite([12586(8),12556(7)]),flip(a)]. 94081 L(x,y,L(R(T(z,u),w,v5),v6,v7)) = L(x,y,L(R(z,w,v5),v6,v7)). [para(64238(a,1),85435(a,1,3,1)),rewrite([83742(8),85435(7)]),flip(a)]. 94109 R(x * K(y,x),y,x) = x * K(x * y,x). [hyper(5081,a,147,a(flip),b,1153,a),rewrite([6775(2)]),flip(a)]. 94253 R(x * K(y,x),y,y) = (y * x) * (y \ 1). [para(618(a,2),1153(a,2,2)),rewrite([618(8),72446(7),61746(6)])]. 94254 a(R(x * K(y,x),y,z) * u,w,v5) = a(((y * z) \ ((y * x) * z)) * u,w,v5). [para(1153(a,2),12534(a,1,1,1))]. 94345 L(x,(y * z) \ ((y * u) * z),w) = L(x,R(u,y,z),w). [para(1153(a,1),28056(a,2,2)),rewrite([28056(5),28161(4),28057(7)]),flip(a)]. 94404 K((x \ y) * K(y,z),x) = K(x \ y,T(x,z)). [para(41920(a,2),1153(a,2,1,1)),rewrite([75(5),74(5),43676(5),4463(5),55800(5),5676(5),41920(8),7725(8),33046(10)])]. 94495 R(x * K(y,x),y,z) \ L(((y * x) * z) / (y * z),u,w) = ((y * z) \ ((y * x) * z)) \ L((y * z) \ ((y * x) * z),u,w). [para(1153(a,2),64245(a,1,1))]. 94500 R(1 / x,x,y) = y / (x * y). [para(64714(a,2),1153(a,1,1,2)),rewrite([64714(5),147(6,R),51(3),51(6),48(5)])]. 94533 L(x,R(y * K(z,y),z,u) \ w,v5) = L(x,((z * u) \ ((z * y) * u)) \ w,v5). [para(1153(a,2),28029(a,1,2,1))]. 94547 L(x,y,R(z * K(u,z),u,w)) = L(x,y,(u * w) \ ((u * z) * w)). [para(1153(a,2),26402(a,1,3))]. 94569 R(x * K(y,x),y,z) \ L(((y * x) * z) / (y * z),u,w) = R(x,y,z) \ L(R(x,y,z),u,w). [para(1153(a,1),64238(a,2,2,1)),rewrite([64238(10),94061(8)]),flip(a)]. 94588 ((x * y) \ ((x * z) * y)) \ L((x * y) \ ((x * z) * y),u,w) = R(z,x,y) \ L(R(z,x,y),u,w). [back_rewrite(94495),rewrite([94569(9)]),flip(a)]. 94615 R(1 / x,x,x) = x \ 1. [hyper(5081,a,61746,a(flip),b,94500,a),flip(a)]. 94620 a(x,y,x) / (z * a(x,y,x)) = 1 / z. [hyper(295,a,29916,a(flip),b,94500,a),flip(a)]. 94627 R(1 / x,x,y) \ y = x * y. [hyper(18716,a,94500,a(flip))]. 94649 K(x,y) / T(x,y) = 1 / x. [para(149(a,1),94500(a,2,2)),rewrite([5826(4)]),flip(a)]. 94661 L(R(1 / x,x,y),z,u) * (x * y) = y * (x \ L(x,z,u)). [para(94500(a,2),207(a,1,1,1)),rewrite([24474(11),70245(11)])]. 94681 R(1 / x,x,T(y,x)) = T(y,x) / (y * x). [para(410(a,1),94500(a,2,2))]. 94682 R(a(x,y,z) \ 1,a(x,y,z),u) = u / (a(x,y,z) * u). [para(6706(a,1),94500(a,1,1))]. 94685 R(a(x,y,z) \ 1,a(x,y,z),x * (y * z)) = (x * (y * z)) / ((x * y) * z). [para(7687(a,1),94500(a,2,2)),rewrite([6706(3)])]. 94702 R(1 / R(x,y,z),R(x,y,z),x) = x / (x * R(x,y,z)). [para(11009(a,1),94500(a,2,2))]. 94704 K(x,y) / (z * K(x,y)) = 1 / z. [para(10078(a,2),94500(a,2,2)),rewrite([5826(4),10078(6)]),flip(a)]. 94733 a(x,y,a(z,u,w)) / L(a(x,y,a(z,u,w)) * v5,v6,v7) = 1 / L(v5,v6,v7). [para(17022(a,1),94500(a,2,2)),rewrite([8281(7)]),flip(a)]. 94834 R(1 / x,x,R(x,y,z) * (x \ u)) = (R(x,y,z) * (x \ u)) / (R(x,y,z) * u). [para(62761(a,1),94500(a,2,2))]. 94848 ((x * x) \ y) / ((x \ 1) * y) = R(1 / x,x \ 1,y). [para(69321(a,1),94500(a,2,2)),rewrite([72736(5)]),flip(a)]. 94892 R(x,1 / y,y * a(z,u,z)) = R(x,y \ 1,y). [back_rewrite(29906),rewrite([94620(4),94620(9),31824(9)])]. 94930 (1 / x) * K(x,y) = K(x,y) / x. [hyper(5142,a,94649,a(flip),b,42661,a),rewrite([9510(4)])]. 94946 T(x,y) * L(x \ 1,z,u) = L(1 / x,z,u) * T(x,y). [para(94649(a,1),207(a,1,1,1)),rewrite([6958(9)]),flip(a)]. 95004 (x * x) \ T(x,y) = K(x,y) / x. [back_rewrite(64760),rewrite([94930(7)])]. 95012 R(a(x \ y,x,z) \ 1,a(x \ y,x,z),(y / x) * (x * z)) = ((y / x) * (x * z)) / (y * z). [para(53(a,1),94685(a,2,2,1)),rewrite([12554(2),12554(6)])]. 95031 (x * y) / (a(z,u,w) * (x * (a(z,u,w) \ y))) = a(x,a(z,u,w) \ y,a(z,u,w)) \ 1. [para(6592(a,1),94685(a,1,3,2)),rewrite([10436(12),6592(10),19228(12)]),flip(a)]. 95037 (x * (y * a(z,u,w))) / ((x * y) * a(z,u,w)) = a(x,y,a(z,u,w)) \ 1. [para(5528(a,2),94685(a,1,1,1)),rewrite([5528(3),10436(10)]),flip(a)]. 95056 R(a(x,y,z) \ 1,a(x,y,z),((y * x) / y) * (y * z)) = (x * (T(y,x) * z)) / ((y * x) * z). [para(32795(a,1),94685(a,2,1)),rewrite([12554(3),50(2),12554(6),50(5),53(15)])]. 95060 R(a(x,y,z) \ 1,a(x,y,z),x * (y * (K(u,K(w,v5)) * z))) = (x * (K(u,K(w,v5)) * (y * z))) / ((x * y) * (K(u,K(w,v5)) * z)). [para(7862(a,2),94685(a,2,1,2)),rewrite([13929(4),13929(7)])]. 95099 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(18716,a,398,a(flip))]. 95133 K(x \ ((y \ z) \ (z * x)),u) = K(y,T(u,x * z)). [para(398(a,2),177(a,1,1)),rewrite([36702(6),6332(6),3545(4),6385(8)]),flip(a)]. 95196 R(x,x \ y,x \ y) = y * ((x \ y) \ 1). [para(618(a,2),398(a,2,2)),rewrite([618(10),72446(9),61746(8)])]. 95295 K(x,T(y * (x \ z),z)) = K(x,(x \ z) * y). [para(398(a,2),2399(a,1,1)),rewrite([6332(5),6385(10),95133(10),45612(8)]),flip(a)]. 95514 R(x,x \ 1,y) \ y = (x \ 1) * y. [hyper(5081,a,69321,a,b,95099,a),rewrite([69321(3),48(8)]),flip(a)]. 95525 R(x,x \ y,y) \ 1 = (x \ y) * (y \ 1). [hyper(5142,a,95099,a(flip),b,62166,a),rewrite([72446(4),61746(3)]),flip(a)]. 95529 R(T(x,y),x \ z,u) \ (z * u) = (T(x,y) \ z) * u. [hyper(5083,a,95099,a(flip),b,8936,a),rewrite([6332(3),5754(4),11267(4),61(6)]),flip(a)]. 95532 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(51(a,1),95099(a,1,2))]. 95533 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(53(a,1),95099(a,1,2))]. 95536 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(58(a,1),95099(a,1,1,2)),rewrite([58(7)])]. 95539 (x \ y) * K(y,z) = x \ T(y,z). [para(149(a,1),95099(a,1,2)),rewrite([5826(3)]),flip(a)]. 95550 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(197(a,1),95099(a,1,2)),rewrite([5826(4)]),flip(a)]. 95570 R(x / y,y,z) \ (x * z) = y * z. [para(340(a,1),95099(a,1,1,2)),rewrite([340(6)])]. 95573 R(x,x \ (a(y,z,u) \ w),a(y,z,u)) \ w = (x \ (a(y,z,u) \ w)) * a(y,z,u). [para(6592(a,1),95099(a,1,2))]. 95575 R(x * ((x \ y) * z),a(x,x \ y,z),u) \ ((y * z) * u) = a(x,x \ y,z) * u. [para(353(a,1),95099(a,1,1,2)),rewrite([353(14)])]. 95616 R(x,x \ L(T(y,z),u,w),T(y,z) \ v5) \ (L(y,u,w) * (y \ v5)) = (x \ L(T(y,z),u,w)) * (T(y,z) \ v5). [para(18733(a,1),95099(a,1,2))]. 95621 (T(x,y) \ z) * (u * K(x,y)) = T((x \ z) * u,K(x,y)). [para(95099(a,1),11215(a,2,1)),rewrite([61(3),95529(5),6332(6),7726(5),6332(10)])]. 95625 R(x,x \ (y * T(z,u)),z) \ ((y * z) * T(z,u)) = (x \ (y * T(z,u))) * z. [para(21764(a,1),95099(a,1,2))]. 95634 x \ L(y * K(z,u),w,v5) = (x \ L(y,w,v5)) * K(z,u). [para(26653(a,1),95099(a,1,2)),rewrite([5826(4)])]. 95642 (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. [para(3776(a,1),95099(a,1,1,2)),rewrite([5785(4),3817(4),3776(7)])]. 95645 (x \ (y \ 1)) * K(z,u) = x \ (y \ K(z,u)). [para(31850(a,1),95099(a,1,2)),rewrite([5826(5)]),flip(a)]. 95653 K(x,(y * z) / R(u,u \ y,z)) = K(x,T(z * (u \ y),y)). [para(95099(a,1),34821(a,1,2,1)),rewrite([40145(5)]),flip(a)]. 95660 (x \ (y / T(z,u))) * K(z,u) = x \ (y / z). [para(41903(a,1),95099(a,1,2)),rewrite([5826(5)]),flip(a)]. 95661 (x \ (y / z)) * K(u,z) = x \ (y / T(z,u)). [para(42661(a,1),95099(a,1,2)),rewrite([5826(4)]),flip(a)]. 95662 R(x,x \ y,z) \ (K(u,w) * (y * z)) = (x \ (K(u,w) * y)) * z. [para(95099(a,1),41963(a,1,2)),rewrite([6492(3),43723(5)]),flip(a)]. 95685 K(x,(T(x,y) \ z) * u) = K(x,(x \ z) * u). [para(95099(a,1),50045(a,2,2)),rewrite([61(5),95529(7),6332(6),6332(9)])]. 95720 (x \ (y \ 1)) * (z * z) = x \ (y \ (z * z)). [para(62166(a,1),95099(a,1,2)),rewrite([394(5)]),flip(a)]. 95730 R(x,x \ (1 / y),L(y,z,u)) \ (y \ L(y,z,u)) = (x \ (1 / y)) * L(y,z,u). [para(70237(a,1),95099(a,1,2))]. 95750 L(x,R(y,y \ z,z),u) = L(x,(y \ z) * z,u). [para(95099(a,1),28106(a,1,2)),flip(a)]. 95757 x \ L(y * (z * z),u,w) = (x \ L(y,u,w)) * (z * z). [para(25958(a,1),95099(a,1,2)),rewrite([394(4)])]. 95766 K(x \ T(y,z),x) = K(x \ y,T(x,z)). [back_rewrite(94404),rewrite([95539(3)])]. 95767 K(x,T(x \ T(y,z),u)) = K(x,T(x \ y,u * z)). [back_rewrite(74953),rewrite([95539(3)])]. 95796 (x / y) \ ((y \ x) * z) = K(y \ x,y) * z. [back_rewrite(3817),rewrite([95642(8)])]. 95823 K(x,y) * (z \ (u / T(x,y))) = T(z \ (u / x),K(x,y)). [hyper(7088,a,95661,a,b,95661,a),rewrite([562(4),95661(9),5754(9)]),flip(a)]. 95906 T(x,y) \ (z / T(y,x)) = T(x \ (z / y),K(x,y)). [hyper(295,a,11215,a(flip),b,95661,a),flip(a)]. 95943 (x \ y) * (K(z,y) * K(u,z)) = x \ ((z * y) / T(z,u)). [para(147(a,1),95661(a,1,1,2)),rewrite([41109(3),7726(5)])]. 95951 K(K(x,y) * (z \ (u / y)),w) = K(z \ (u / T(y,x)),w). [para(95661(a,1),181(a,1,1)),rewrite([562(5),1671(6)]),flip(a)]. 95952 K((x \ y) / T(z,u),w) = K(x \ (y / T(z,u)),w). [para(95661(a,1),181(a,2,1)),rewrite([27834(8),39941(8),95951(8),26994(7),6170(6),26962(6),6385(5),6336(5)])]. 95987 (x \ (y \ z)) * K(u,T(y,z)) = x \ (T(y,u) \ z). [para(2244(a,1),95661(a,1,1,2)),rewrite([27834(5),11014(5),42863(9)])]. 96007 a(x \ (y / T(z,u)),w,v5) = a(x \ (y / z),w,v5). [para(95661(a,1),12467(a,2,1)),rewrite([12491(6),12463(4)]),flip(a)]. 96037 L(x,y \ (z / T(u,w)),v5) = L(x,y \ (z / u),v5). [para(95661(a,1),26518(a,2,2)),rewrite([26505(6),26536(4)]),flip(a)]. 96123 a(x,y,z \ (u / T(w,v5))) = a(x,y,z \ (u / w)). [para(95661(a,1),72789(a,2,3)),rewrite([13984(7),14988(5),72770(5)]),flip(a)]. 96175 K((x \ y) / z,u) = K(x \ (y / z),u). [back_rewrite(6510),rewrite([95952(5),95906(4),1039(5),1671(5)]),flip(a)]. 96177 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [back_rewrite(33776),rewrite([95987(5)]),flip(a)]. 96200 K(x \ ((1 / y) \ z),u) = K((z / x) * y,T(u,z)). [back_rewrite(92497),rewrite([96175(7),92476(7),26985(5)]),flip(a)]. 96205 K(x / (y * z),T(u,y)) = K(y \ (x / z),u). [back_rewrite(80226),rewrite([96175(7)])]. 96218 K((x * (y / z)) / u,T(w,x * y)) = K(z \ ((x \ u) \ y),w). [back_rewrite(61900),rewrite([96175(7),60842(7),26994(7)])]. 96223 K(x / (y * z),y) = K(y \ (x / z),y). [back_rewrite(54248),rewrite([96175(3)]),flip(a)]. 96264 K(x \ R(x,y,z),u) = 1. [back_rewrite(6414),rewrite([96175(6),57(4)])]. 96274 K(((x \ y) * x) / z,u) = K(x \ (y / (z / x)),u). [back_rewrite(6370),rewrite([96175(8)])]. 96309 a(x \ (y / L(T(z,u),w,v5)),v6,v7) = a(x \ (y / L(z,w,v5)),v6,v7). [para(60(a,1),96007(a,1,1,2,2))]. 96317 a(x \ (K(y,T(z,u)) / z),w,v5) = a(x \ z,w,v5). [para(198(a,1),96007(a,1,1,2)),rewrite([96007(6),96007(5),69591(4)]),flip(a)]. 96318 a(x \ (K(y,z) / z),u,w) = a(x \ z,u,w). [para(198(a,1),96007(a,2,1,2)),rewrite([96007(5),96007(9),69591(8)])]. 96320 a(x \ (y / (z / u)),w,v5) = a(x \ (y / (u \ z)),w,v5). [para(246(a,1),96007(a,1,1,2,2)),flip(a)]. 96321 a(x \ (y / z),u,w) = a(x \ (z \ y),u,w). [para(2244(a,1),96007(a,1,1,2)),flip(a)]. 96322 a(x \ (T(y,z) \ u),w,v5) = a(x \ (y \ u),w,v5). [para(2244(a,1),96007(a,2,1,2)),rewrite([42863(4)])]. 96326 a(x \ (y \ (K(z,u) * w)),v5,v6) = a(x \ (y \ w),v5,v6). [para(10078(a,1),96007(a,1,1,2,2)),rewrite([96321(5),12023(3),18893(5),96321(8),11961(6)]),flip(a)]. 96331 a(x \ ((y \ z) \ z),u,w) = a(x \ y,u,w). [para(337(a,1),96007(a,2,1,2)),rewrite([96321(5),96322(5)])]. 96335 a(x \ T((y * R(z,u,w)) / y,v5),v6,v7) = a(x \ R(T(z,v5),u,w),v6,v7). [para(2597(a,1),96007(a,2,1,2)),rewrite([96321(7),9084(5),18893(6)]),flip(a)]. 96361 a(x \ (L(y,y,y) \ z),u,w) = a(x \ (y \ z),u,w). [para(413(a,1),96007(a,1,1,2,2)),rewrite([96321(4),96321(7)])]. 96366 a(x \ (y \ K(z,T(y,u))),w,v5) = a(x \ (y \ 1),w,v5). [para(94649(a,1),96007(a,2,1,2)),rewrite([75872(4),96321(5),96321(9)])]. 96369 a(x \ ((y / z) \ u),w,v5) = a(x \ ((z \ y) \ u),w,v5). [back_rewrite(96320),rewrite([96321(4),96321(8)])]. 96370 a(x \ (y \ K(z,y)),u,w) = a(x \ y,u,w). [back_rewrite(96318),rewrite([96321(4)])]. 96371 a(x \ (y \ 1),z,u) = a(x \ y,z,u). [back_rewrite(96317),rewrite([96321(5),96366(5)])]. 96375 a(x \ (L(T(y,z),u,w) \ v5),v6,v7) = a(x \ (L(y,u,w) \ v5),v6,v7). [back_rewrite(96309),rewrite([96321(5),96321(9)])]. 96376 a(L(x,x,y \ z) \ (y \ z),u,w) = a((y \ z) * x,u,w). [back_rewrite(70628),rewrite([96321(5)])]. 96426 a(x \ (y \ ((z * z) \ u)),w,v5) = a(x \ (y \ u),w,v5). [para(67094(a,1),96369(a,2,1,2,1)),rewrite([67315(4),20865(3),69459(5),11965(6)]),flip(a)]. 96427 a(L(x \ y,x,y \ ((z / u) \ w)) \ ((u \ z) \ w),v5,v6) = a((y \ ((z / u) \ w)) * x,v5,v6). [para(77147(a,1),96369(a,1,1)),rewrite([12463(7),12534(5)]),flip(a)]. 96449 a(x \ T(y,z),u,w) = a(x \ y,u,w). [para(225(a,2),96322(a,2,1,2)),rewrite([96322(5),96370(4),96371(7)]),flip(a)]. 96475 a(x \ (((y \ 1) \ z) \ u),w,v5) = a(x \ ((y \ z) \ u),w,v5). [para(68847(a,1),96322(a,2,1,2)),rewrite([96426(7),96322(5)]),flip(a)]. 96490 a(x \ R(T(y,z),u,w),v5,v6) = a(x \ R(y,u,w),v5,v6). [back_rewrite(96335),rewrite([96449(6),96321(5),50(3)]),flip(a)]. 96521 a(x \ (y \ T(z,u)),w,v5) = a(x \ (y \ z),w,v5). [para(168(a,1),96326(a,1,1,2,2))]. 96530 a(x \ (y \ (T(z,u) \ w)),v5,v6) = a(x \ (y \ (z \ w)),v5,v6). [para(9113(a,1),96326(a,1,1,2,2))]. 96539 a(x \ (y * (K(z,u) * w)),v5,v6) = a(x \ (y * w),v5,v6). [para(22931(a,1),96326(a,2,1,2)),rewrite([26458(5),22931(6)])]. 96548 a(x \ (y \ (z \ (K(u,w) * v5))),v6,v7) = a(x \ (y \ (z \ v5)),v6,v7). [para(41963(a,1),96326(a,1,1,2,2))]. 96568 a(x \ (((y \ K(z,u)) \ w) \ v5),v6,v7) = a(x \ ((y \ w) \ v5),v6,v7). [para(68847(a,1),96326(a,2,1,2)),rewrite([69154(6),96475(12)])]. 96573 a(x \ (y \ (z * (u / w))),v5,v6) = a(x \ (y \ (z * (w \ u))),v5,v6). [para(77335(a,1),96326(a,1,1,2,2)),rewrite([562(4),96521(7)])]. 96575 a(x \ ((y \ 1) \ z),u,w) = a(x \ (y \ z),u,w). [para(80800(a,1),96326(a,1,1,2)),rewrite([48546(7),96568(7),96361(9)])]. 96584 a(x \ (y \ (z / T(u,w))),v5,v6) = a(x \ (y \ (u \ z)),v5,v6). [para(95661(a,2),96326(a,2,1,2)),rewrite([96573(7),96326(7),96530(5),95661(8)]),flip(a)]. 96596 a(x \ (a(y,z,u) * w),v5,v6) = a(x \ (w * a(y,z,u)),v5,v6). [para(15051(a,1),96449(a,1,1,2)),rewrite([96449(5)]),flip(a)]. 96597 a(x \ L(L(T(y,z),u,w),v5,v6),v7,v8) = a(x \ L(L(y,v5,v6),u,w),v7,v8). [para(6123(a,1),96449(a,2,1)),rewrite([60(3),60(2)])]. 96610 x / L(T(x,y),z,u) = L(T(x,y),z,u) \ x. [hyper(7088,a,91483,a,b,95539,a),rewrite([19981(5),92662(4),91483(8),5754(9),54664(9),562(7),60(7),11427(6),168(5),196(5)])]. 96622 T(a(x,y,z) \ u,K(u,w)) = a(x,y,z) \ u. [hyper(7088,a,6706,a,b,95539,a),rewrite([6706(8),5754(9),54664(9),562(7),547(7)])]. 96681 (T(x,y) / z) \ x = z * K(y,x). [hyper(5142,a,340,a(flip),b,95539,a),rewrite([9510(2)]),flip(a)]. 96715 x \ T(y,x \ y) = (y * (x \ y)) / y. [hyper(295,a,2045,a,b,95539,a),rewrite([2045(4),147(4,R)]),flip(a)]. 96716 L(T(x,y),z,u) \ T(x,y) = L(x,z,u) \ x. [hyper(295,a,19895,a(flip),b,95539,a),rewrite([91472(4)]),flip(a)]. 96731 (x \ T(y,z)) / (x \ y) = K(y,T(z,x)). [hyper(5142,a,95539,a(flip),b,2729,a),rewrite([27834(7),14494(7)])]. 96740 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [para(55(a,1),95539(a,1,1)),flip(a)]. 96745 T(x,y) * K(x * y,z) = y \ T(x * y,z). [para(58(a,1),95539(a,1,1))]. 96747 (x \ L(y,z,u)) * K(y,w) = x \ L(T(y,w),z,u). [para(60(a,1),95539(a,2,2)),rewrite([6159(4)])]. 96753 T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). [para(95539(a,1),162(a,2,2))]. 96757 (x \ (y / z)) * K(z \ y,u) = x \ T(y / z,T(u,z)). [para(177(a,1),95539(a,1,2))]. 96758 K(K(x,y) * (z \ x),u) = K(z \ T(x,y),u). [para(95539(a,1),181(a,1,1)),rewrite([1671(5)]),flip(a)]. 96767 T(x \ T(y,z),K(y,z)) = x \ T(y,T(z,x)). [para(95539(a,1),203(a,2,2,1)),rewrite([11774(5),95539(3),96731(9),95539(8)])]. 96787 K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,z)). [para(95539(a,1),264(a,2,2))]. 96793 (x / y) \ T(x,z) = y * K(x,z). [para(340(a,1),95539(a,1,1)),flip(a)]. 96799 (x \ y) * (K(y,z) * u) = (x \ T(y,z)) * u. [para(95539(a,1),7687(a,2,1)),rewrite([9(3),48(6)])]. 96806 (x * (y \ z)) * (K(z,u) * w) = (x * (y \ T(z,u))) * w. [para(95539(a,1),9566(a,1,1,2)),flip(a)]. 96812 K(x,y) * (z * (u \ T(y,x))) = T(z * (u \ y),K(y,x)). [para(95539(a,1),11664(a,1,2,2)),rewrite([5678(3),5754(5)])]. 96814 K(x,y) * ((z \ y) \ u) = (z \ T(y,x)) \ u. [para(95539(a,1),11892(a,2,1)),rewrite([5754(4),5538(7)])]. 96818 T(x,y * (z \ T(u,K(w,v5)))) = T(x,y * (z \ u)). [para(95539(a,1),3044(a,1,2,2))]. 96820 a(x * (y \ T(z,u)),w,v5) = a((y \ z) * x,w,v5). [para(95539(a,1),13792(a,2,1,2)),rewrite([12676(7),7725(4),12546(5)]),flip(a)]. 96824 a(x,y \ T(z,u),w) = a(x,y \ z,w). [para(95539(a,1),13932(a,2,2)),rewrite([13972(5),13927(3)]),flip(a)]. 96833 (x \ L(L(y,z,u),w,v5)) * K(y,v6) = x \ L(L(T(y,v6),w,v5),z,u). [para(6123(a,1),95539(a,1,1)),rewrite([6159(6),6159(5),60(8),60(7)])]. 96853 L(x,y \ T(z,u),w) = L(x,y \ z,w). [para(95539(a,1),26518(a,2,2)),rewrite([26505(5),26536(3)]),flip(a)]. 96856 L(x,y,z \ T(u,w)) = L(x,y,z \ u). [para(95539(a,1),26403(a,1,3))]. 96865 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z). [para(3776(a,1),95539(a,1,1))]. 96874 (x \ y) * (K(z,u) * K(y,w)) = (x \ T(y,w)) * K(z,u). [para(95539(a,1),10794(a,1,2)),rewrite([27834(3),43679(6),40027(4),41109(4)]),flip(a)]. 96886 a((x \ T(y,z)) * u,w,v5) = a((x \ y) * u,w,v5). [para(95539(a,1),46299(a,2,1,1)),rewrite([7725(5),12546(6),12467(4)]),flip(a)]. 96887 a(x * ((y \ T(z,u)) * w),v5,v6) = a(x * ((y \ z) * w),v5,v6). [para(95539(a,1),46302(a,2,1,2,1)),rewrite([7725(5),13792(7),13786(5)]),flip(a)]. 96893 T(x,K(y,z)) \ z = T(x \ z,K(y,z)). [para(95539(a,1),5739(a,1,2)),rewrite([54664(4)])]. 96903 T(x \ T(y,z),K(y,z)) = K(y,z) * (x \ y). [para(95539(a,1),59166(a,2,1)),rewrite([5754(3),49(3),5538(4),5754(3),5754(8),49(8),562(7)]),flip(a)]. 96914 T(x,y) \ L(T(T(x,y),z),u,w) = x \ L(T(x,T(z,y)),u,w). [para(64035(a,1),95539(a,1,1)),rewrite([6159(5),1039(4),70411(5),70355(5),60(8)]),flip(a)]. 96925 a(x,y,z \ T(u,w)) = a(x,y,z \ u). [para(95539(a,1),72789(a,2,3)),rewrite([13984(6),14988(4),72770(4)]),flip(a)]. 96931 L(x \ y,x,y \ z) \ T(z,u) = T((T(z,u) / y) * x,x \ y). [para(95539(a,2),77147(a,1,1,3)),rewrite([95539(4),96856(4)])]. 96955 x \ T(y * K(z,u),z) = (x \ T(y,z)) * K(z,u). [para(53814(a,2),95539(a,2,2)),rewrite([41109(3),37821(6),7726(5),96874(5),53814(9)]),flip(a)]. 96964 (x \ (y \ z)) * K(z,u) = x \ (y \ T(z,u)). [para(95539(a,1),95099(a,1,2)),rewrite([5826(4)]),flip(a)]. 96968 (L(x,y,z) \ x) * K(u,x) = L(T(x,u),y,z) \ x. [back_rewrite(92662),rewrite([96610(7)])]. 96975 K(x * y,z) * K(z,K(x,y)) = K(y * x,z * K(x,y)). [back_rewrite(9888),rewrite([96740(7),74(6),75(6),56568(6),43887(6),12190(5),74(4)])]. 96988 x \ T(y * x,y) = R(y,x,y). [back_rewrite(192),rewrite([96745(4)])]. 97013 (R(x,y,z) \ T(x,R(x,y,z) \ x)) \ x = R(x,y,z). [back_rewrite(19581),rewrite([96814(7)])]. 97066 K(x,y) * (z \ T(y,x)) = T(z \ y,K(x,y)). [back_rewrite(54664),rewrite([96893(7)])]. 97081 x \ T(y,T(z,x)) = K(y,z) * (x \ y). [back_rewrite(96767),rewrite([96903(4)]),flip(a)]. 97102 (x * y) \ (T(y * x,y) * y) = R(y,x,y). [back_rewrite(84413),rewrite([96988(8)])]. 97123 a(x,y \ (z / u),w) = a(x,y \ (u \ z),w). [para(246(a,1),96824(a,1,2,2)),flip(a)]. 97354 (x \ (y \ z)) * (K(z,u) * w) = (x \ (y \ T(z,u))) * w. [para(96964(a,1),7687(a,2,1)),rewrite([9(4),48(7)])]. 97384 a(x,y \ (z \ T(u,w)),v5) = a(x,y \ (z \ u),v5). [para(96964(a,1),13932(a,2,2)),rewrite([13972(6),13927(4)]),flip(a)]. 97409 (x \ (y * z)) * K(z,u) = x \ (y * T(z,u)). [para(22931(a,1),96964(a,1,1,2)),rewrite([6159(4),60(8),22931(9)])]. 97421 L(x,y \ (z \ T(u,w)),v5) = L(x,y \ (z \ u),v5). [para(96964(a,1),26518(a,2,2)),rewrite([26505(6),26536(4)]),flip(a)]. 97483 T(x \ (y \ T(z,u)),K(z,u)) = K(z,u) * (x \ (y \ z)). [para(96964(a,1),59166(a,2,1)),rewrite([5754(3),49(3),5538(5),5754(4),5754(10),49(10),562(9)]),flip(a)]. 97508 a(x,y,z \ (u \ T(w,v5))) = a(x,y,z \ (u \ w)). [para(96964(a,1),72789(a,2,3)),rewrite([13984(7),14988(5),72770(5)]),flip(a)]. 97631 a(x,y \ (L(T(z,u),w,v5) \ z),v6) = a(x,y \ (L(z,w,v5) \ z),v6). [para(91483(a,2),97384(a,1,2,2)),rewrite([91483(4),96716(4)]),flip(a)]. 97663 T(K(x,y) * (a(z,u,w) \ v5),K(v6,K(x,y) * v5)) = K(x,y) * (a(z,u,w) \ v5). [hyper(5081,a,44061,a,b,96622,a),rewrite([43834(6),44256(5),15121(8),562(12)]),flip(a)]. 97737 T(x \ T(y,z),K(z,y)) = K(y,z) * (x \ y). [hyper(5081,a,12023,a,b,96903,a),rewrite([12023(3),562(7)]),flip(a)]. 97792 K((x \ y) * K(z,y),u) = K(x \ T(y,z),u). [para(96903(a,2),249(a,1,1)),rewrite([96903(4),96758(4)]),flip(a)]. 97796 T(x,K(y,z) * (u \ z)) = T(x,u \ T(z,y)). [para(96903(a,1),253(a,2,2)),rewrite([73(4),75(4),74(4),149(5),9760(7),97066(6),562(5),610(6),34364(5),168(3),9760(4),96753(8)])]. 97797 K(x,K(y,z) * (u \ z)) = K(x,u \ T(z,y)). [para(96903(a,2),261(a,1,2)),rewrite([96903(4),96787(4)]),flip(a)]. 97804 x * (T(T(x,y),y) \ (z \ y)) = (z \ T(y,x)) * K(y,x). [para(96903(a,1),410(a,1,2)),rewrite([52864(5)])]. 97839 T(x \ L(L(T(y,z),u,w),v5,v6),K(y,z)) = K(y,z) * (x \ L(L(y,v5,v6),u,w)). [para(6123(a,1),96903(a,2,2)),rewrite([60(3),60(2),6159(7),6159(6),6159(9),6159(8)])]. 97862 L(x,(y \ T(z,u)) * w,v5) = L(x,(y \ z) * w,v5). [para(96903(a,1),26518(a,1,2,1)),rewrite([7724(4),26562(5)]),flip(a)]. 97864 L(x,(y \ T(z,u)) \ w,v5) = L(x,(y \ z) \ w,v5). [para(96903(a,1),26514(a,1,2,1)),rewrite([11961(4),28031(5)]),flip(a)]. 97893 a(x * ((y * (z \ T(u,w))) * v5),v6,v7) = a(x * ((y * (z \ u)) * v5),v6,v7). [para(96903(a,1),46695(a,1,1,2,1,2)),rewrite([46705(7)]),flip(a)]. 97923 (x \ 1) * T(y * y,z) = x \ T(y * y,z). [para(62166(a,2),96903(a,2,2)),rewrite([562(6),564(6),62166(9),66441(8)]),flip(a)]. 97945 L(x,y,(z \ T(u,w)) * v5) = L(x,y,(z \ u) * v5). [para(96903(a,1),46365(a,1,3,1)),rewrite([7724(4),12075(5)]),flip(a)]. 97947 L(x,y,z * (u \ T(w,v5))) = L(x,y,z * (u \ w)). [para(96903(a,1),83724(a,1,3,2)),rewrite([83105(5)]),flip(a)]. 97973 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [back_rewrite(50929),rewrite([97797(4)])]. 97975 L(L(T(x,y),z,u),w,v5) * (L(x,z,u) \ 1) = K(x,y) * (L(x,z,u) \ L(L(x,z,u),w,v5)). [back_rewrite(64265),rewrite([97839(7)]),flip(a)]. 97976 L(L(T(x,y),z,u),w,v5) * (L(x,z,u) \ 1) = K(x,y) * (L(x,z,u) \ L(L(x,w,v5),z,u)). [back_rewrite(64117),rewrite([97839(7)]),flip(a)]. 98037 L(x,(y \ (z / u)) * w,v5) = L(x,(y \ (u \ z)) * w,v5). [para(246(a,1),97862(a,1,2,1,2)),flip(a)]. 98039 L(x,y * (z \ T(u,w)),v5) = L(x,(z \ u) * y,v5). [para(251(a,1),97862(a,1,2)),rewrite([562(7),44462(7),26536(8),27291(11)])]. 98114 a(x,L(y \ z,y,z \ (u / w)) \ (w \ u),v5) = a(x,(z \ (u / w)) * y,v5). [para(77147(a,1),97123(a,1,2)),rewrite([13927(6),14777(4)]),flip(a)]. 98126 x / (y * K(z,x)) = T(x,z) / y. [hyper(6683,a,96681,a)]. 98224 x * (K(y,K(z,u * x)) * K(w,u)) = T(T(u,w) / x,K(y,z)) \ u. [para(96681(a,1),44029(a,1,2)),rewrite([74(4),75(4),43978(4),68196(4),45702(6)])]. 98240 (x \ L(x,y,z)) / x = L(1 / x,y,z). [para(96681(a,1),63799(a,1,2)),rewrite([407(2),407(4),64245(6),70241(6),319(4),49(4),407(5)])]. 98289 (x \ 1) * L(x,y,z) = x * L(1 / x,y,z). [back_rewrite(70483),rewrite([98240(3)]),flip(a)]. 98297 (x * L(1 / x,y,z)) / (x \ 1) = L(L(x,y,z),x,x). [back_rewrite(80138),rewrite([98289(4)])]. 98298 (x * L(1 / x,y,z)) \ L(x,y,z) = L(x,L(x,y,z),x). [back_rewrite(79860),rewrite([98289(4)])]. 98299 L(x,y,z) / (x * L(1 / x,y,z)) = T(x,x \ 1). [back_rewrite(75466),rewrite([98289(5)])]. 98304 L(x,y,z) * (1 / x) = x * L(1 / x,y,z). [back_rewrite(71788),rewrite([98289(8)])]. 98305 (x * L(1 / x,y,z)) * (x \ 1) = (x \ L(x,y,z)) * (1 / x). [back_rewrite(66966),rewrite([98289(4)])]. 98306 x \ L(T(x,x \ 1),y,z) = x * L(1 / x,y,z). [back_rewrite(66946),rewrite([98289(9)])]. 98311 K(x,x \ 1) * T(x \ L(x,y,z),u) = T(x * L(1 / x,y,z),T(u,x)). [back_rewrite(64904),rewrite([98289(11)])]. 98312 T(x,x \ 1) \ L(x,y,z) = x * L(1 / x,y,z). [back_rewrite(64180),rewrite([98289(9)])]. 98314 K(x * L(1 / x,y,z),u) = K(L(x,y,z) / x,u). [back_rewrite(64064),rewrite([98289(4)])]. 98457 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(55(a,1),97409(a,1,1)),flip(a)]. 98568 a(x \ (y * T(z,u)),w,v5) = a(x \ (y * z),w,v5). [para(97409(a,1),12467(a,2,1)),rewrite([12491(6),12463(4)]),flip(a)]. 98617 x \ T(y * (z * a(a(u,w,v5),v6,v7)),v8) = a(a(u,w,v5),v6,v7) * (x \ T(y * z,v8)). [para(7727(a,2),97409(a,1,1,2)),rewrite([7727(4),71204(5),7726(8),95539(7),22173(11),7733(10)]),flip(a)]. 98644 L(x,y,z \ (u * T(w,v5))) = L(x,y,z \ (u * w)). [para(97409(a,1),26403(a,1,3))]. 98810 R(x,x \ y,z) \ (y * T(z,u)) = (x \ y) * T(z,u). [para(95099(a,1),97409(a,1,1)),rewrite([7726(4),149(3)]),flip(a)]. 98944 K(L(x,y,z) / x,u * u) = 1. [hyper(7049,a,98289,a,b,6,a(flip)),rewrite([23196(5),25954(7),51(6),20865(8),87804(12),98289(8),82(11),98314(6)])]. 99077 ((x * (y \ 1)) * L(y,z,u)) / (y * L(1 / y,z,u)) = R(x,y \ 1,L(y,z,u)). [para(98289(a,1),57(a,1,2))]. 99084 (x * x) \ (L(x,y,z) \ x) = L(x,y,z) \ (x \ 1). [para(98289(a,1),248(a,1,1,1)),rewrite([98297(7),6174(6),66904(5),89794(5),25976(3),49459(4)])]. 99099 a(x,y,L(y,z,u)) * (x * (y * L(1 / y,z,u))) = (x * (y \ 1)) * L(y,z,u). [para(98289(a,1),7687(a,1,2,2)),rewrite([50864(4)])]. 99133 (x * L(1 / x,y,z)) * L(u,L(x,y,z),x) = (x \ 1) * (L(x,y,z) * u). [para(98289(a,1),380(a,1,1)),rewrite([26414(8)])]. 99134 (x \ 1) * (L(x,y,z) * u) = x * (L(1 / x,y,z) * u). [para(98289(a,2),380(a,1,1)),rewrite([98289(4),78931(8),70578(8),99133(7)])]. 99138 (x * L(1 / x,y,z)) * L(u,x,L(x,y,z)) = L(x,y,z) * ((1 / x) * u). [para(98289(a,1),24258(a,1,1)),rewrite([28083(8),6174(12),66904(11)])]. 99139 L(1 / x,y,z) * (T(x,x \ 1) * u) = L(x,y,z) * ((1 / x) * u). [para(98289(a,2),24258(a,1,1)),rewrite([98289(4),83639(8),83591(8),99138(7),6174(12),3334(11)]),flip(a)]. 99168 L(x \ 1,y,z) * (x * u) = L(x,y,z) * ((1 / x) * u). [para(98289(a,2),32795(a,1,1,1)),rewrite([98289(4),26838(5),1816(3),65123(4),6174(12),3334(11),99139(13)])]. 99243 L(x,x,x) * L(x \ 1,y,z) = x * L(1 / x,y,z). [para(70516(a,2),98289(a,1,1)),rewrite([337(11),98289(9)])]. 99258 R(x,x \ 1,L(x,y,z)) = T(x,x \ 1). [para(98289(a,1),94500(a,2,2)),rewrite([337(4),98299(10)])]. 99259 L(1 / x,y,z) / (x * L(1 / x,y,z)) = R(1 / x,x,L(1 / x,y,z)). [para(98289(a,2),94500(a,2,2)),rewrite([98289(13)]),flip(a)]. 99261 R(x,x \ (y \ 1),L(y,z,u)) \ (y * L(1 / y,z,u)) = (x \ (y \ 1)) * L(y,z,u). [para(98289(a,1),95099(a,1,2))]. 99283 (x * L(1 / x,y,z)) * L(u,L(x,y,z),x) = x * (L(1 / x,y,z) * u). [back_rewrite(99133),rewrite([99134(12)])]. 99456 T(x,y * (z \ L(T(u,K(w,v5)),v6,v7))) = T(x,y * (z \ L(u,v6,v7))). [para(96747(a,1),3044(a,1,2,2))]. 99459 a(x * (y \ L(T(z,u),w,v5)),v6,v7) = a((y \ L(z,w,v5)) * x,v6,v7). [para(96747(a,1),13792(a,2,1,2)),rewrite([12676(8),7725(5),12546(6)]),flip(a)]. 99488 L(x,y \ L(T(z,u),w,v5),v6) = L(x,y \ L(z,w,v5),v6). [para(96747(a,1),26518(a,2,2)),rewrite([26505(6),26536(4)]),flip(a)]. 99545 a(x,y,z \ L(T(u,w),v5,v6)) = a(x,y,z \ L(u,v5,v6)). [para(96747(a,1),72789(a,2,3)),rewrite([13984(7),14988(5),72770(5)]),flip(a)]. 99782 K(x,y) * ((z \ T(x,y)) \ u) = (z \ x) \ u. [hyper(5083,a,51,a(flip),b,96799,a),flip(a)]. 99855 (x \ T(y,z)) * (K(z,y) * u) = (x \ y) * u. [para(51(a,1),96799(a,1,2)),rewrite([5754(6)]),flip(a)]. 99860 R(x,y \ z,K(z,u) * w) = R(x,y \ T(z,u),w). [para(96799(a,1),57(a,1,2)),rewrite([96806(5),57(8)]),flip(a)]. 100033 a(x * (y * ((z \ T(u,w)) * v5)),v6,v7) = a(x * ((v5 * (z \ u)) * y),v6,v7). [para(96799(a,1),46819(a,2,1,2,2)),rewrite([7724(4),7724(5),12546(7)]),flip(a)]. 100268 K(x \ (y * z),u) * (z / (y \ x)) = T(z / (y \ x),T(u,y * x)). [para(99782(a,2),1205(a,1,1,1)),rewrite([99782(5),60842(3),36711(11)])]. 100271 K(x,T(y,z)) * ((u \ z) \ w) = (u \ (K(y,x) * z)) \ w. [para(10078(a,1),99782(a,1,2,1,2)),rewrite([6775(3),11418(3),41109(5),12023(6),12745(7)])]. 100277 a((x \ T(y,z)) \ u,w,v5) = a((x \ y) \ u,w,v5). [para(99782(a,1),12077(a,1,1)),flip(a)]. 100326 (x \ K(y,z)) * ((u \ T(y,z)) \ w) = (x \ 1) * ((u \ y) \ w). [para(99782(a,1),31945(a,1,2)),flip(a)]. 100812 K(x,T(y * (x \ T(z,u)),z)) = K(x,(x \ T(z,u)) * y). [hyper(295,a,2717,a(flip),b,95295,a)]. 100838 K(x,(x \ T(y,x)) * z) = K(x,(x \ y) * z). [para(194(a,2),95295(a,2,2,1)),rewrite([2717(6),100812(5),95685(8)])]. 100968 K(x,T(y * (T(x,z) \ z),z)) = K(x,(x \ z) * y). [back_rewrite(78069),rewrite([100812(10),100838(9)])]. 101261 K(x,T(x \ (y / z),z * y)) = K(x,x \ (y / z)). [para(95823(a,1),95295(a,1,2,1)),rewrite([9760(7),48281(7),36551(5),95660(10)])]. 101277 T(x * (y \ z),z \ (y * (x \ 1))) = ((x * (y \ z)) \ 1) \ 1. [hyper(5081,a,70516,a(flip),b,97947,a),rewrite([97947(14),89903(13),60848(13)]),flip(a)]. 101298 L(x,y,z * (u \ (w / v5))) = L(x,y,z * (u \ (v5 \ w))). [para(246(a,1),97947(a,1,3,2,2)),flip(a)]. 101325 L(x,y,z * (L(T(u,w),v5,v6) \ u)) = L(x,y,z * (L(u,v5,v6) \ u)). [para(91483(a,2),97947(a,1,3,2)),rewrite([91483(4),96716(4)]),flip(a)]. 101333 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [hyper(7088,a,95533,a,b,410,a),rewrite([196(4),95533(10),9084(10),92023(6),168(7)])]. 101346 (x \ (a(y,z,u) \ w)) * a(y,z,u) = a(y,z,u) * (x \ (a(y,z,u) \ w)). [hyper(5081,a,1143,a,b,95533,a),rewrite([6706(3),6706(7),95573(11)]),flip(a)]. 101433 (x * x) \ ((y * (z \ (u / (x * x)))) \ w) = (y * (z \ u)) \ w. [para(95533(a,2),11968(a,1,1,2)),rewrite([394(5)]),flip(a)]. 101562 x / T(y,y \ (R(y,z,u) \ x)) = (R(y,z,u) \ (x / y)) * R(y,z,u). [back_rewrite(43102),rewrite([101333(4),63590(3)])]. 101574 a(x,y,x) * (z \ (a(x,y,x) \ u)) = z \ u. [back_rewrite(89232),rewrite([101346(5)])]. 101576 x \ ((y * y) * ((x \ 1) * z)) = (x * ((y * y) \ x)) \ z. [back_rewrite(74177),rewrite([101433(8)]),flip(a)]. 101668 L(x,y,R(z,z \ u,u)) = L(x,y,(z \ u) * u). [para(95525(a,1),26414(a,1,3)),rewrite([73507(5)]),flip(a)]. 101723 R(x,x \ y,y) \ L(R(x,x \ y,y),z,u) = L(R(x,x \ y,y),z,u) * ((x \ y) * (y \ 1)). [para(95525(a,1),63806(a,1,2)),flip(a)]. 101839 R(x,a(y,z,a(u,w,v5)) * v6,v7) = R(x,v6,v7). [hyper(5142,a,8385,a(flip),b,401,a),rewrite([7729(9),17629(10),16747(10),57(4)]),flip(a)]. 101885 R(x,y,T(z,x * y)) \ (z * (x * y)) = y * T(z,x * y). [hyper(5083,a,410,a(flip),b,401,a)]. 101891 R(x,x,y) * y = (1 / x) \ y. [hyper(5083,a,401,a,b,81065,a),rewrite([63041(3),50(4)])]. 101893 L(R(x,y,x),y,x) = x. [hyper(5083,a,401,a,b,14463,a),rewrite([9730(4),410(5),63041(5),63216(5),60142(6),87122(3),96988(3)])]. 101903 (x * y) * R(x * y,x,y) = ((x * y) * x) * y. [hyper(295,a,11009,a(flip),b,401,a)]. 101929 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(63(a,1),401(a,1,1))]. 101930 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(65(a,1),401(a,1,1))]. 101934 K((x * y) * R(z,x,y),u) = K(y * (z * x),T(u,x)). [para(401(a,1),181(a,1,1)),rewrite([27536(5)]),flip(a)]. 101944 T(x,T((y * z) * u,z * u)) = T(x,(z * u) * R(y,z,u)). [para(401(a,1),262(a,1,2,1))]. 101953 a(R(x,y,z),y,z) * ((x * y) * z) = (R(x,y,z) * y) * z. [para(401(a,1),7687(a,1,2))]. 101960 K(x,T((y * z) * u,y)) = K(x,(z * u) * R(y,z,u)). [para(401(a,1),7197(a,1,2,1)),rewrite([6492(4)])]. 101962 a(x,y,z) * ((y * z) * x) = (y * z) * R(x,y,z). [para(401(a,1),5593(a,1,2)),rewrite([12489(5)])]. 101974 a(x,(y * z) * R(u,y,z),w) = a(x,(u * y) * z,w). [para(401(a,1),14794(a,1,2)),flip(a)]. 102028 R(x,y,z) * (K(u,w) * (y * z)) = (x * (K(u,w) * y)) * z. [para(401(a,1),10794(a,1,2)),rewrite([6492(2),38494(5)]),flip(a)]. 102090 R(x,L(y,z,u),y \ K(w,v5)) * (y * L(y \ K(w,v5),z,u)) = (x * L(y,z,u)) * (y \ K(w,v5)). [para(70215(a,1),401(a,1,2))]. 102113 (x \ L(x,y,z)) * u = u * (x \ L(x,y,z)). [back_rewrite(94661),rewrite([101929(6),207(4),69933(4)])]. 102120 (x * y) * R(a(z,u,w),x,y) = (a(z,u,w) * x) * y. [back_rewrite(15104),rewrite([101962(6)])]. 102153 x \ R(x,y,y) = a(x,y,y). [hyper(7088,a,81194,a,b,101962,a),rewrite([68213(4),547(4),81194(9),11965(7),50(6)]),flip(a)]. 102225 (x * y) \ (a(z,x,y) * ((x * y) * (K(u,w) * z))) = K(u,w) * R(z,x,y * K(u,w)). [hyper(5083,a,101962,a,b,9566,a(flip)),rewrite([13984(4),9566(6)])]. 102228 (x * y) \ (a(z,x,y) * ((x * y) * ((u * u) * z))) = (u * u) * R(z,x,y * (u * u)). [hyper(5083,a,101962,a,b,315,a(flip)),rewrite([72752(4),315(6)])]. 102241 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(295,a,410,a,b,101962,a),rewrite([547(6)])]. 102259 (a(x,y,z) * (y * z)) \ ((y * z) * R(x,y,z)) = L(x,y * z,a(x,y,z)). [hyper(5083,a,101962,a(flip),b,380,a)]. 102262 a(x,y,z) * ((y * z) * ((u * u) * x)) = (y * z) * R((u * u) * x,y,z). [para(6(a,2),101962(a,1,2)),rewrite([11958(3),7(4),315(5)])]. 102280 K((x * y) * z,T(u,x)) = K(z * (x * y),T(u,y)). [para(101962(a,1),181(a,1,1)),rewrite([26924(7),101934(7),59(6),26853(7),26896(7),36328(5),102241(8),101934(8)])]. 102300 a(x,y,z) * ((z * y) * x) = (z * y) * R(x,y,T(z,y)). [para(410(a,1),101962(a,1,2,1)),rewrite([13983(2),410(6)])]. 102313 a(x,y,z) * ((y * z) * (K(u,w) * x)) = (y * z) * R(K(u,w) * x,y,z). [para(9566(a,2),101962(a,1,2)),rewrite([12077(3),9566(5)])]. 102375 L(x,(y * a(z,u,w)) * R(v5,y,a(z,u,w)),v6) = L(x,(y * a(z,u,w)) * v5,v6). [para(101962(a,1),21156(a,1,2))]. 102425 a(x,y,z) * ((y * z) * (x \ 1)) = (y * z) * R(x \ 1,y,z). [para(46610(a,1),101962(a,1,1))]. 102431 a(x * ((y * z) * R(u,y,z)),w,v5) = a(x * ((u * y) * z),w,v5). [para(101962(a,1),46819(a,2,1,2)),rewrite([351(4)]),flip(a)]. 102440 (x * y) * (K(z * (x * y),u) * R(z,x,y)) = a(z,x,y) * T((x * y) * z,u). [para(101962(a,1),13226(a,1,2)),rewrite([38453(7),561(12)])]. 102481 L(R(x,y,z) / x,x,y * z) = a(x,y,z). [para(101962(a,1),79942(a,1,1,1,2)),rewrite([50(5),531(7),547(8)])]. 102500 R(a(x,y,z) \ 1,a(x,y,z),(y * z) * x) = ((y * z) * x) / ((y * z) * R(x,y,z)). [para(101962(a,1),94500(a,2,2)),rewrite([6706(3)])]. 102517 (x * x) * R(y,z,u * (x * x)) = R((x * x) * y,z,u). [back_rewrite(102228),rewrite([102262(7),50(7)]),flip(a)]. 102520 K(x,y) * R(z,u,w * K(x,y)) = R(K(x,y) * z,u,w). [back_rewrite(102225),rewrite([102313(7),50(7)]),flip(a)]. 102537 x * a(x,y,y) = R(x,y,y). [hyper(5457,a,102153,a)]. 102543 R(x,y,y) / x = a(x,y,y). [hyper(295,a,2244,a,b,102153,a),rewrite([102153(3),561(3)])]. 102592 L(x,y,z) \ L(R(x,u,u),y,z) = a(L(x,y,z),u,u). [para(63(a,1),102153(a,1,2))]. 102640 L(a(x,y,y) \ z,a(x,y,y),x) = R(x,y,y) \ (x * z). [para(102153(a,1),60487(a,1,1,1)),rewrite([102153(4)])]. 102773 R(x,y,z) * L(T(u,x),w,v5) = L(u,w,v5) * R(x,y,z). [hyper(5081,a,49057,a,b,7984,a),rewrite([49057(6),60(6)]),flip(a)]. 102797 L(R(x,y,z),u,w) * T(v5,x) = v5 * L(R(x,y,z),u,w). [para(63(a,1),7984(a,1,1)),rewrite([6174(4),63(6)])]. 102864 K(x,T(y,z) \ (R(z,u,w) \ v5)) = K(x,R(z,u,w) \ (y \ v5)). [para(7984(a,1),12016(a,1,2,1)),rewrite([12016(4)]),flip(a)]. 102897 R(x,y,z) * (1 / x) = (x \ 1) * R(x,y,z). [para(66904(a,1),7984(a,1,2))]. 103017 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [hyper(5083,a,102797,a,b,13542,a),rewrite([5679(2),102797(5),5754(5),9138(5),26458(4),6175(3)])]. 103024 L(R(x,y,z),u,w) * R(T(v5,x),v6,v7) = R(v5,v6,v7) * L(R(x,y,z),u,w). [hyper(5081,a,62761,a,b,102797,a),rewrite([62761(6),61(8)]),flip(a)]. 103085 L(R(x,y,z),u,w) * x = x * L(R(x,y,z),u,w). [para(409(a,1),102797(a,1,2))]. 103393 x * (T(y,x) * R(T(z,y * x),u,w)) = L(R(z,u,w),y,x) * (y * x). [hyper(295,a,24258,a(flip),b,103017,a)]. 104086 L(x,y,(z * u) * R(w,z,u)) = L(x,y,(w * z) * u). [para(6662(a,1),85435(a,1,3,1))]. 104268 K(x,T(y / z,u * (z * w))) = K(x,T(z \ y,u * w)). [para(6724(a,1),26853(a,1,2,1)),rewrite([26983(5),26983(10)]),flip(a)]. 104316 T(K(x,y) * (z / y),T(y,x)) = (y \ z) * K(x,y). [para(8936(a,1),6724(a,2,1)),rewrite([43061(4),9510(5),11774(5),42661(3),42805(4),9510(8)])]. 104368 ((x * (y \ z)) * (z / y)) / (x * (z / y)) = (y \ z) * K(x * (z / y),y \ z). [para(1153(a,2),6724(a,1,1)),rewrite([94109(6),6775(5,R),6721(7),22024(10)]),flip(a)]. 104436 T(K(x,T(y,z)) / u,K(x,y)) = (1 / u) * K(x,T(y,z)). [hyper(5081,a,60426,a,b,11005,a),rewrite([60426(4),75459(10)]),flip(a)]. 104539 (x / (K(y,T(z,u)) * w)) * K(y,K(z,w)) = x / (w * K(y,T(z,u))). [para(11005(a,1),42661(a,2,2)),rewrite([4696(9),73(8),37822(7)])]. 104660 T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x). [hyper(5081,a,53814,a,b,30365,a),rewrite([53814(5),168(7)]),flip(a)]. 104712 T(x * K(y,z),u * (K(z,y) * w)) = T(K(y,z) * x,u * w). [para(13288(a,2),30365(a,1,2)),rewrite([5754(5),2598(6),37797(5),5754(6),7724(7),9085(8),74(4),7755(6),8587(6),9510(8),7725(9)]),flip(a)]. 104786 T(x * K(y,z),T(y,z) \ u) = T(K(y,z) * x,y \ u). [para(8936(a,1),30365(a,1,2)),flip(a)]. 104800 T(x * K(y,z),T(z,y * u)) = T(K(y,z) * x,T(z,u)). [para(55369(a,1),30365(a,1,2)),rewrite([27773(7),4743(5),2948(5),36711(9)]),flip(a)]. 104801 T(K(x,y) * z,T(y,x)) = T(z * K(x,y),y). [para(2045(a,1),30365(a,1,2)),rewrite([186(5)])]. 104847 K(x,T(y,z)) * T(u,x \ z) = T(K(x,y) * u,x \ z). [back_rewrite(50015),rewrite([104786(5)]),flip(a)]. 104858 K(x,y) * T(z,y) = T(K(x,y) * z,y). [back_rewrite(42681),rewrite([104800(5),9831(4)]),flip(a)]. 104859 (x \ y) * K(z,x) = T(y / T(x,z),x). [back_rewrite(104316),rewrite([104801(5),42661(3)]),flip(a)]. 104874 (T(x,y) \ z) \ (u * (x \ z)) = T(K(x,y) * u,x \ z). [back_rewrite(48352),rewrite([104847(10)])]. 104919 T(x * K(y,z / x),x \ z) = T(x \ z,y) \ z. [back_rewrite(11743),rewrite([104858(5),41154(3)])]. 104922 T(x,y) \ (z * x) = T(K(y,x) * z,x). [back_rewrite(9095),rewrite([104858(6)])]. 104972 T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). [back_rewrite(19876),rewrite([104859(7)])]. 105093 (((1 / x) \ y) \ z) \ T(z / T((1 / x) \ y,u),x * y) = K(u,x * y). [hyper(5083,a,92240,a(flip),b,104859,a),rewrite([91776(16)])]. 105105 (x / T(y \ (y \ 1),z)) / (y * y) = K(y * y,z) * x. [hyper(5083,a,104859,a,b,72045,a),rewrite([67094(5),23975(7),7726(6),23981(6),8951(5)]),flip(a)]. 105121 (L(x,y,z) \ u) * K(w,x) = T(u / L(T(x,w),y,z),x). [hyper(5081,a,6174,a(flip),b,104859,a),rewrite([60(2),5537(8)]),flip(a)]. 105130 T(x / T(y,y \ (R(y,z,u) \ x)),y) = (y \ (R(y,z,u) \ x)) * R(y,z,u). [hyper(295,a,16894,a,b,104859,a),rewrite([63590(3),63590(8)]),flip(a)]. 105157 T(x / T(y,z),y) / (y \ x) = K(z,T(y,x)). [hyper(5142,a,104859,a(flip),b,2729,a),rewrite([27834(8),4773(7,R),36132(8)])]. 105178 (R(x,y,z) \ u) * K(w,x) = T(u / R(T(x,w),y,z),x). [para(61(a,1),104859(a,2,1,2)),rewrite([5679(4),6492(9)])]. 105184 (x \ y) * K(z,T(x,u)) = T(y / T(x,T(z,u)),x). [para(171(a,1),104859(a,1,2)),rewrite([1518(7)])]. 105197 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [para(104859(a,1),203(a,2,2,1)),rewrite([562(3),11774(5),104859(3),11427(5),2045(4),186(5),412(4),105157(8),105184(6)]),flip(a)]. 105205 ((x / y) \ z) * K(y,y \ x) = T(z / (y \ x),x / y). [para(238(a,1),104859(a,1,2)),rewrite([412(7)])]. 105212 K(K(x,y) * (x \ z),u) = K(T(x,y) \ z,u). [para(104859(a,1),249(a,2,1)),rewrite([1039(8),3735(8)])]. 105229 T(x / T(y,z),y) * u = (y \ x) * (K(z,y) * u). [para(104859(a,1),7687(a,2,1)),rewrite([9(3),48(6)]),flip(a)]. 105236 (x * T(y / T(z,u),z)) * w = (x * (z \ y)) * (K(u,z) * w). [para(104859(a,1),9566(a,1,1,2))]. 105247 T(x / T(y,z),y) \ u = K(y,z) * ((y \ x) \ u). [para(104859(a,1),11892(a,2,1)),rewrite([5754(4),5538(7)]),flip(a)]. 105276 (x * T(y / T(z,u),z)) \ w = K(z,u) * ((x * (z \ y)) \ w). [para(104859(a,1),12013(a,1,1,2))]. 105312 (x \ y) * (K(z,K(u,w)) * K(v5,x)) = T(K(z,K(u,w)) * (y / T(x,v5)),x). [para(104859(a,1),7862(a,1,2)),rewrite([34364(6)]),flip(a)]. 105390 T(x / T(y \ (y \ 1),z),y \ (y \ 1)) = T(y * y,z) * x. [para(67094(a,1),104859(a,1,1)),rewrite([23975(6),7726(5),23981(5)]),flip(a)]. 105419 T(L(T(x,y),z,u) \ x,x) = L(T(x,y),z,u) \ x. [para(91483(a,2),104859(a,1,1)),rewrite([91483(2),5537(4),96968(4),60(5),96610(6),6174(8)]),flip(a)]. 105429 x \ T(y / T(z,u),z) = (x \ (z \ y)) * K(u,z). [para(104859(a,1),95099(a,1,2)),rewrite([5826(4)])]. 105482 T((K(x,y) * z) / T(u,T(w,z)),u) = T(u,w) \ (K(x,y) * z). [back_rewrite(33669),rewrite([105184(6)])]. 105515 K((x / y) * K(y,z),u) = K(x / T(y,z),u). [back_rewrite(42435),rewrite([105212(5),6336(4)]),flip(a)]. 105540 K(x / ((y * z) / y),u) = K(x / T(z,y),u). [back_rewrite(42468),rewrite([105515(8)])]. 105549 K(T(x,y) \ T(y,x),z) = K(x \ y,z). [back_rewrite(3931),rewrite([105540(6),3735(5)])]. 105702 R(x,T(y / T(z,u),z),w) = R(x,z \ y,K(u,z) * w). [hyper(5142,a,105236,a(flip),b,401,a),rewrite([105229(9),57(10)]),flip(a)]. 105992 K(x,T(y \ (y \ 1),z)) = K(y * y,x). [hyper(5083,a,72045,a,b,105184,a),rewrite([67094(4),105105(11),2695(6),7753(7),8456(6),2695(3)]),flip(a)]. 105997 K(x,T((1 / y) \ z,u)) = K(x,T(y * z,u)). [hyper(5083,a,92240,a(flip),b,105184,a),rewrite([105093(13),1039(3)]),flip(a)]. 106042 K(T(x,T(y,z)) \ u,w) = K(T(x,y) \ u,w). [para(105184(a,1),183(a,2,1)),rewrite([43148(8),105312(6),1039(7),1365(7),3735(4),1039(8),3735(8)]),flip(a)]. 106181 K(x,y / (1 / z)) = K(x,y * z). [back_rewrite(81614),rewrite([105997(5),7197(3)]),flip(a)]. 106323 (x \ K(y,z)) * (T((x \ 1) \ 1,K(z,y)) * u) = (K(y,z) / (K(z,y) * x)) * (K(z,y) * (x * u)). [para(32556(a,1),13287(a,1,2,1)),rewrite([11961(4),41109(4),11961(10),49(9),59711(9),7725(10),53282(9),7724(17)])]. 106413 T(L(x,y,z) \ K(u,w),x) = 1 / L(x * K(w,u),y,z). [hyper(295,a,162,a,b,65026,a),rewrite([27446(5),11474(8),31850(5)])]. 106454 (L(x,y,z) \ 1) * x = x * (1 / L(x,y,z)). [para(65026(a,1),410(a,1,2)),flip(a)]. 106467 T(a(x,y,a(z,u,w)) \ (L(v5,v6,v7) \ 1),v5) = 1 / L(a(x,y,a(z,u,w)) * v5,v6,v7). [para(17022(a,2),65026(a,1,1,1)),rewrite([17022(4),17090(6),8415(10)])]. 106550 T(((x \ y) / y) * x,x \ y) = ((x \ y) / y) * x. [hyper(272,a,77147,a(flip),b,91472,a),rewrite([77147(9)]),flip(a)]. 106555 T(((x \ y) / y) * x,z) = ((x \ y) / y) * x. [hyper(295,a,77147,a(flip),b,91472,a(flip)),rewrite([106550(5),77147(9),106550(8)]),flip(a)]. 106556 T(L(L(x,y,z),u,w) \ L(x,u,w),v5) = L(L(x,u,w),y,z) \ L(x,u,w). [para(64(a,1),91472(a,1,1,1))]. 106572 T(L(L(x \ 1,y,z),x,u) \ ((u * x) \ u),w) = L((u * x) \ u,y,z) \ ((u * x) \ u). [para(57669(a,2),91472(a,1,1,1))]. 106595 T(a(x,y,z) * R(u,w,v5),T(v6,u)) = T(a(x,y,z) * R(u,w,v5),v6). [para(15336(a,1),157(a,1,1)),rewrite([610(6),15336(13),39625(12),39996(11),8204(12),6492(9)]),flip(a)]. 106612 R(x,y,z) * (a(u,w,v5) * K(x,v6)) = a(u,w,v5) * R(T(x,v6),y,z). [para(15336(a,1),203(a,1,1)),rewrite([7726(5),6200(4),7726(12),10108(16),27586(12),6492(9),959(9),7726(9)]),flip(a)]. 106621 K(x,y) * (a(z,u,w) * R(x,v5,v6)) = a(z,u,w) * R(T(x,y),v5,v6). [para(15336(a,1),410(a,1,2)),rewrite([7726(10),106612(10)])]. 106623 R(x * a(y,z,a(u,w,v5)),v6,v7) * v8 = a(y,z,a(u,w,v5)) * (R(x,v6,v7) * v8). [para(15336(a,2),7729(a,1,1)),rewrite([17777(4),61(6),11515(5)])]. 106631 a(x * ((R(y,z,u) * a(w,v5,v6)) \ v7),v8,v9) = a(x * ((a(w,v5,v6) * R(y,z,u)) \ v7),v8,v9). [para(15336(a,1),13791(a,1,1,2,1)),flip(a)]. 106807 a(x,((y / z) \ u) * w,v5) = a(x,((z \ y) \ u) * w,v5). [para(859(a,1),47597(a,1,2,2,1)),rewrite([47597(5),47592(9)]),flip(a)]. 107070 T(x,K(y,z)) * (u * K(z,y)) = K(z,y) * (x * T(u,K(y,z))). [hyper(5083,a,53312,a(flip),b,5739,a),rewrite([5754(5),7726(10)]),flip(a)]. 107110 T(x,K(y,z)) * (u * K(y,z)) = K(y,z) * (x * T(u,K(y,z))). [para(53312(a,1),410(a,1,2)),rewrite([7726(10)]),flip(a)]. 107239 K(x,y) * T(z,K(u,w) * x) = T(K(x,y) * z,K(u,w) * x). [para(53312(a,2),86499(a,2,1)),rewrite([9760(4),2598(8),1671(8),9760(10)])]. 107405 T(T(x * K(y,z),x \ u),K(y,z) * (x \ u)) = T(x \ (K(z,y) * u),x * K(y,z)) \ u. [para(162(a,1),3850(a,2,1)),rewrite([11961(5),43688(6),30365(6),11961(7),43688(8),11961(11)])]. 107552 ((x \ y) * z) \ (x * (y / x)) = (T(x \ y,x) * z) \ y. [para(3850(a,1),11972(a,1,1,2)),rewrite([26399(6),8515(10),76210(9),238(8),197(9)]),flip(a)]. 107625 T((x \ y) \ (K(z,u) * y),x \ y) = T(x \ (K(u,z) * y),x * K(z,u)) \ y. [back_rewrite(44349),rewrite([107405(8)]),flip(a)]. 107822 T(x * K(y,x),x \ y) = R(x,x \ y,x). [hyper(5081,a,403,a,b,1735,a),rewrite([403(4),3375(2),1286(5),409(3),13130(6)]),flip(a)]. 107824 L(T(x * K(L(x,y,z) * u,x),u),y,z) = L(R(x,u,L(x,y,z)),y,z). [hyper(5081,a,63,a(flip),b,1735,a),rewrite([5537(8),26653(8),60(9)]),flip(a)]. 107895 T(x * y,x) * L(z,y,x) = R(x,y,x) * (T(y,x) * z). [para(1735(a,1),9213(a,1,1)),rewrite([186(5),36202(4),196(3),7725(9),39625(8),6775(6),38686(9)]),flip(a)]. 107900 x * L(y * K(x * y,y),z,u) = T(x,y) * L(R(y,x,y),z,u). [para(1735(a,1),6488(a,1,2,1)),rewrite([6775(2,R),186(4),27781(3),409(1),6775(6,R)]),flip(a)]. 107902 a(x * (R(y,z,y) \ u),w,v5) = a(x * (y \ u),w,v5). [para(1735(a,1),13791(a,1,1,2,1)),rewrite([12023(8),12546(10)])]. 107915 a(x,y * R(z,u,z),w) = a(x,y * z,w). [para(1735(a,1),14782(a,1,2,2)),rewrite([13971(8)])]. 107937 T(x * y,x) / R(x,y,x) = y. [para(1735(a,1),7336(a,1,2)),rewrite([39996(3),6775(2),7714(4),5538(7)])]. 107970 L(x,(R(y,z,y) \ u) \ w,v5) = L(x,(y \ u) \ w,v5). [para(1735(a,1),34030(a,1,2,1,1)),rewrite([12023(8),11961(9),28031(10)])]. 108027 T(L(T(x,x * y),z,u) / T(x,x * y),x) = R(x,y,x) \ L(R(x,y,x),z,u). [para(1735(a,1),64035(a,1,1)),rewrite([1735(5),95634(12),12023(9),64181(9),104859(11)]),flip(a)]. 108037 T(x * K(y,x),y * (x \ 1)) = R(x,y * (x \ 1),x). [para(61614(a,2),1735(a,1,1,2,1)),rewrite([61614(4),75333(5),409(1)])]. 108049 L(x,y,z * R(u,w,u)) = L(x,y,z * u). [para(1735(a,1),83724(a,1,3,2)),rewrite([27385(8)])]. 108073 (x \ 1) \ K(x \ L(x,y,z),x) = R(x,L(1 / x,y,z),x). [para(98289(a,2),1735(a,1,1,2,1)),rewrite([98289(4),98314(5),2399(3),6174(8),23218(7),69015(7),59713(6)])]. 108231 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [para(162(a,1),53045(a,1,1,2,2)),rewrite([9776(4),53045(4)]),flip(a)]. 108232 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [para(162(a,2),53045(a,1,1,2,2)),rewrite([9756(4),53045(4)]),flip(a)]. 108312 T(x,K(y,z * T(u,w))) = T(x,K(y,z * u)). [para(10720(a,1),53045(a,2,2)),rewrite([18312(4),27562(4),53045(5)]),flip(a)]. 108319 T(x,K(y,L(z,u,w) * v5)) = T(x,K(y,z * v5)). [para(11568(a,1),53045(a,2,2)),rewrite([11567(4),27600(4),53045(5)]),flip(a)]. 108412 T(K(x,y) * (a(z,u,w) \ v5),K(v5,v6)) = K(x,y) * (a(z,u,w) \ v5). [back_rewrite(97663),rewrite([108231(8),562(6)])]. 108421 T(x,K(y,z * L(u * K(w,v5),v6,v7))) = T(x,K(y,u * z)). [back_rewrite(87630),rewrite([108231(6),108319(4)]),flip(a)]. 108422 T(x,K(y,z * (K(u,w) * v5))) = T(x,K(y,z * v5)). [back_rewrite(87239),rewrite([108231(6),108312(4),108312(9)]),flip(a)]. 108438 T(x,K(y,z * L(u,w,v5))) = T(x,K(y,u * z)). [back_rewrite(56692),rewrite([108231(6),108421(10)])]. 108618 x * L(T(y * K(L(y,z,u) * x,w),K(w,y * x)),z,u) = T(x * L(y,z,u),w). [back_rewrite(26827),rewrite([108438(8)])]. 108686 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(5083,a,41117,a,b,197,a(flip)),rewrite([95767(4),2739(4),197(3)])]. 108729 T(x,y) * K(z * y,u) = T(x * K(y * z,u),y). [para(181(a,1),41117(a,1,1,2)),flip(a)]. 108738 T(K(x,T(y,z)) * u,z) = K(x,y) * T(u,z). [para(203(a,1),41117(a,1,1)),rewrite([2677(4),26853(3),39396(4),1391(7),9760(7),9809(9)])]. 108750 T(x,y) * K(z,u / y) = T(x * K(z,y \ u),y). [para(412(a,1),41117(a,1,1,2,2)),flip(a)]. 108803 T(x * K(y,T(z,u * (w * v5))),v5) = T(x,v5) * K(y,T(z,u * w)). [para(26853(a,1),41117(a,2,2)),rewrite([26853(4),26853(4)])]. 108916 K(x,x \ 1) * T(K(x,x \ 1) * y,z) = T(y,z). [back_rewrite(65008),rewrite([108686(13),53(12)])]. 108950 (x \ y) * K(z,T(u,w * y)) = x \ (K(z,T(u,w)) * y). [back_rewrite(78484),rewrite([108803(7),412(2)])]. 108977 T(x,y) \ (K(z,T(u,x)) * w) = K(z,u) * (T(x,y) \ w). [back_rewrite(47808),rewrite([108950(6)])]. 109117 T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). [para(959(a,1),108977(a,1,2,1))]. 109258 K(x,T(y,z * u)) * (K(y,T(x,z)) * (a(w,v5,v6) \ u)) = T(a(w,v5,v6) \ u,K(y,x)). [hyper(7088,a,96622,a,b,108950,a),rewrite([1391(6),15121(12),4000(16),562(16),108232(16),562(14),108412(14),5754(13),1039(7)]),flip(a)]. 109417 K(x \ (y \ z),T(u,w * z)) = K(z / (y * x),T(u,w)). [hyper(5142,a,108950,a(flip),b,9005,a),rewrite([96175(4),43597(8),26853(5),34834(5),6170(4)]),flip(a)]. 109481 x \ T(a(y,z,u) * K(w,v5),v6) = (x \ a(y,z,u)) * K(w,T(v5,v6)). [para(6592(a,1),108950(a,1,2,2,2)),rewrite([27834(9),27585(9),24947(9)]),flip(a)]. 109847 T(T(x * K(y,z),u),K(y,z) * w) = T(T(K(y,z) * x,w),u). [para(30311(a,1),59(a,1,1)),flip(a)]. 109921 (x \ (K(y,z) * u)) * (T(x * K(z,y),x \ u) * w) = (u / (K(z,y) * x)) * (K(z,y) * (x * w)). [para(30311(a,2),13287(a,1,2,1)),rewrite([11961(3),11961(9),12748(10),45306(9),7724(15)])]. 110011 T(T(K(x,y) * z,z \ u),z \ u) = T(z \ (K(y,x) * u),z * K(x,y)) \ u. [back_rewrite(107405),rewrite([109847(8)])]. 110084 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(165(a,1),9477(a,1,1)),rewrite([5754(3),9667(7),9510(8)])]. 110123 (x / T(y,z)) * y = x * K(z,y). [para(9477(a,2),50481(a,1,1,2)),rewrite([67987(5),9510(3),48(3),5754(3),9737(4),9510(3),48(3),12023(6),5754(5),52864(6),7726(8),47617(7),409(3),104972(6),410(6)]),flip(a)]. 110125 T(x * (y \ K(z,u)),K(z,u)) = K(z,u) * (x * (y \ 1)). [para(72702(a,2),9477(a,1,1)),rewrite([67625(4),73935(5),51(4)])]. 110185 T(x * K(y,z),u / x) = T(x * K(y,z),x \ u). [para(412(a,1),9830(a,1,2)),flip(a)]. 110323 T((x * y) / x,y \ 1) = (y \ 1) \ K(x,y). [para(147(a,2),69015(a,1,1)),rewrite([59713(9)])]. 110379 L((x \ K(y,z)) \ 1,u,w) * (((x \ K(y,z)) \ 1) \ v5) = L(x,u,w) * (x \ v5). [para(69015(a,1),18733(a,1,1,1)),rewrite([69015(10),12023(17),27438(18),5784(17)])]. 110401 L(T(x * K(y,z),L(x,u,w) \ 1),u,w) = (L(x,u,w) \ K(z,y)) \ 1. [para(26653(a,1),69015(a,1,1)),rewrite([60(7)])]. 110402 L(x,R((y \ K(z,u)) \ 1,w,v5),v6) = L(x,R(y * K(u,z),w,v5),v6). [para(69015(a,1),28056(a,1,2,1))]. 110461 a(x * L(y \ K(z,u),w,v5),v6,v7) = a(x * L(y,w,v5),v6,v7). [para(69015(a,2),70606(a,2,1,2,1)),rewrite([71386(4),26470(5),69015(8),70574(10)]),flip(a)]. 110534 a(L(x \ K(y,z),u,w),v5,v6) = a(L(x,u,w),v5,v6). [hyper(5081,a,20152,a(flip),b,110461,a),rewrite([86937(8),87067(9)]),flip(a)]. 110535 a(L(x \ K(y,z),u,w) * v5,v6,v7) = a(v5 * L(x,u,w),v6,v7). [hyper(295,a,12550,a,b,110461,a)]. 110537 a(L(x * a(a(y,z,u),w,v5),v6,v7),v8,v9) = a(L(x,v6,v7),v8,v9). [hyper(295,a,20152,a(flip),b,110461,a),rewrite([110534(4),86937(6)]),flip(a)]. 110779 T(x * K(y,x),y * K(z,u)) = T(x,K(z,u)). [para(10334(a,1),5698(a,1,2,2)),rewrite([107239(5),2045(2),36490(5),562(2)]),flip(a)]. 110919 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(295,a,186,a(flip),b,110779,a),rewrite([562(6)])]. 110934 T(x,K(y,z)) / (u * K(y,z)) = (x * K(u,x)) / T(u * K(y,z),x). [para(110779(a,1),174(a,1,1)),rewrite([186(12),9830(11)])]. 110989 T(x,K(y,z * R(y,u,w))) = T(x,K(z,y)). [para(16894(a,2),110779(a,1,2)),rewrite([4809(7),6492(4),110919(4),562(6),44462(6)]),flip(a)]. 111059 T(L(T(x,y),z,u) / T(x,y),x) = x \ L(x,z,u). [para(110779(a,1),64035(a,1,1)),rewrite([110779(7),64035(6),95634(8),12023(6),64181(6),104859(7)]),flip(a)]. 111103 L(T(x,T(y,z)) \ 1,x,y) = (x * y) \ T(y,K(x,z)). [back_rewrite(89168),rewrite([110919(5),562(3)]),flip(a)]. 111106 K(x * y,z * K(y,x)) = K(x * y,z). [back_rewrite(96975),rewrite([74(4),75(4),13162(5)]),flip(a)]. 111120 (x * ((R(y,z,u) \ w) * R(y,z,u))) / T(x * w,K(y,w)) = K(R(y,z,u) \ w,y). [back_rewrite(44669),rewrite([110989(10),562(8)])]. 111121 R(x,y,x) \ L(R(x,y,x),z,u) = x \ L(x,z,u). [back_rewrite(108027),rewrite([111059(7)]),flip(a)]. 111125 T((x * y) \ y,K(z,x * y)) = (x * y) \ T(y,K(x,z)). [back_rewrite(58266),rewrite([111103(10)])]. 111545 K(x,y) * (z * T(u,K(y,x))) = T(z * (K(x,y) * u),K(y,x)). [para(412(a,1),9724(a,1,1,2)),rewrite([5754(2),9510(9),107070(10)]),flip(a)]. 111631 K(x,y) * (z * T(u,K(x,y))) = T(z * (K(x,y) * u),K(x,y)). [para(9477(a,1),9724(a,1,1,2)),rewrite([107110(10)]),flip(a)]. 111715 L((1 / x) \ x,y,z) = (1 / x) \ x. [para(23253(a,1),60(a,2,1)),rewrite([322(2),23253(4)]),flip(a)]. 111716 R((1 / x) \ x,y,z) = (1 / x) \ x. [para(23253(a,1),61(a,2,1)),rewrite([388(2),23253(4)]),flip(a)]. 111729 (x * (1 / (x \ y))) \ y = (1 / (x \ y)) \ (x \ y). [para(23253(a,2),11892(a,1,1)),rewrite([60848(7),49(5),89311(5),28057(9),28083(9),111715(7)]),flip(a)]. 111776 L(x \ y,x \ y,x \ y) = T(x \ y,y \ x). [para(23253(a,2),79956(a,1,1,2)),rewrite([60848(10),49(8),89311(8),411(9),70265(7),323(6),49(5),111729(8),95642(9),64714(5),60845(5),49(3),168(5),23192(11),28057(13),28083(13),322(11),22934(10)]),flip(a)]. 111788 x \ (y * ((1 / z) \ z)) = (x \ y) * ((1 / z) \ z). [para(23253(a,1),97409(a,2,2,2)),rewrite([70971(3),81445(7),7726(7),7726(6),149(5),66316(5)]),flip(a)]. 111792 K(x,x \ 1) * (y \ (z * (x \ (1 / x)))) = y \ (z / (x * x)). [para(23253(a,1),95823(a,1,2,2,2)),rewrite([81445(4),92001(7),81445(16),44462(16),48(14),948(13),408(14)])]. 111815 (L(x,x,x) \ y) * (x * x) = (x \ y) * ((1 / x) \ x). [back_rewrite(92441),rewrite([111788(9)])]. 111817 (x \ 1) \ T(y,x * x) = (x \ y) * ((1 / x) \ x). [back_rewrite(92384),rewrite([111788(10)])]. 111822 (x * (y / (z * z))) \ T(x * y,z \ (z \ K(y,x))) = T(z * z,x * y). [hyper(7088,a,11465,a,b,72045,a),rewrite([72446(4),78060(5),78178(5),72446(6),71999(12),67849(10)]),flip(a)]. 111855 T(x * y,z \ (z \ K(y,x))) = T(x * y,z \ (z \ 1)). [hyper(5081,a,72045,a,b,11465,a),rewrite([72446(4),82158(5),71999(11),67849(9)]),flip(a)]. 111931 T(x * y,T(x,y) \ z) = T(x * y,x \ z). [para(9113(a,1),11465(a,1,2))]. 112030 T(x * y,T(y,x) \ z) = T(x * y,y \ z). [para(8936(a,1),11465(a,1,2)),flip(a)]. 112055 T(T(x,y),z \ (z \ 1)) = T(x,z \ (z \ y)). [para(72045(a,1),11465(a,1,1)),rewrite([2399(8),6385(8),72029(8),34397(8),72045(9),73878(10)])]. 112097 (x * (y / (z * z))) \ T(x * y,z \ (z \ 1)) = T(z * z,x * y). [back_rewrite(111822),rewrite([111855(8)])]. 112107 (x * y) / T(z * x,z \ y) = (z * x) \ (x * y). [back_rewrite(60766),rewrite([111931(5)])]. 112109 T(x,y) / T(x * y,y \ 1) = (y * x) \ x. [back_rewrite(57972),rewrite([112030(6)])]. 112115 ((x \ 1) \ y) \ T(z,x \ (x \ u)) = (x \ y) \ (T(z,u) / (x * x)). [back_rewrite(72052),rewrite([112055(8)])]. 112121 (x * (y / (x * x))) \ T(x * y,x \ (T(x,y) \ 1)) = T(x * x,x \ y). [hyper(7088,a,111931,a,b,72045,a),rewrite([72446(4),78060(5),69321(4),92038(5),72446(6),96177(11)]),flip(a)]. 112134 T(x * y,x \ (T(x,y) \ 1)) = T(x * y,x \ (x \ 1)). [hyper(5081,a,72045,a,b,111931,a),rewrite([72446(4),82158(5),96177(10)]),flip(a)]. 112153 T(x,(x / y) \ z) = T(x,x \ (y * z)). [para(53(a,1),111931(a,1,1)),rewrite([412(2),60848(3),53(5)]),flip(a)]. 112157 T(L(x,y,z) * u,L(T(x,u),y,z) \ w) = T(L(x,y,z) * u,L(x,y,z) \ w). [para(60(a,1),111931(a,1,2,1))]. 112160 K(T(x,y) \ z,x * y) = K(x \ z,x * y). [para(111931(a,1),84(a,1,2)),rewrite([84(5)]),flip(a)]. 112220 (x * y) * (T(x,y) \ z) = (y * x) * (x \ z). [para(111931(a,1),410(a,1,2)),rewrite([47565(6),7452(5)]),flip(a)]. 112302 K(x / T(y,z),z * y) = K(y \ x,y * z). [para(111931(a,1),959(a,1,2)),rewrite([27834(6),26918(6),3588(5),112160(8)])]. 112382 K(x,T((x \ (y \ z)) * y,z)) = K(x,(x \ (y \ z)) * y). [para(111931(a,2),95295(a,1,2)),rewrite([111931(8),27834(6),26918(6)])]. 112412 T(x * x,x \ y) = T(x * x,x * y). [back_rewrite(112121),rewrite([112134(9),112097(9)]),flip(a)]. 112468 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(7088,a,112220,a,b,401,a),rewrite([51(4),61(3),51(5),112220(7)]),flip(a)]. 112514 (x * x) \ (y \ ((x * x) * z)) = T(y,x * x) \ z. [hyper(5083,a,5,a(flip),b,112220,a),rewrite([51(5),20865(5)])]. 112586 x \ (a(a(y,z,u),w,v5) * v6) = a(a(y,z,u),w,v5) * (x \ v6). [hyper(5083,a,112220,a(flip),b,7730,a(flip)),rewrite([7727(5),51(4),561(9)])]. 112610 (x / (x / y)) * (y \ z) = K(y \ x,y) * z. [para(160(a,2),112220(a,1,1)),rewrite([3856(5),2045(7),7725(9),9113(8),8504(8)])]. 112632 (x * y) * (x \ K(y,x)) = R(y,x,x). [para(225(a,1),112220(a,1,2)),rewrite([89886(8)])]. 112669 (x * (y \ z)) * ((y \ z) \ z) = (x * (z / y)) * y. [para(411(a,2),112220(a,2,2)),rewrite([112220(6),14229(10)])]. 112824 (x * y) * (y \ L(T(y,x),z,u)) = (y * x) * (y \ L(y,z,u)). [para(63806(a,2),112220(a,1,2)),rewrite([63806(7),64035(5)]),flip(a)]. 112853 R(x,y \ 1,y \ 1) = R(x,y,y). [para(70516(a,2),112220(a,2,2)),rewrite([112220(9),89886(8),89931(10)])]. 112970 (x \ (a(a(y,z,u),w,v5) \ v6)) \ v7 = a(a(y,z,u),w,v5) * ((x \ v6) \ v7). [back_rewrite(31153),rewrite([112586(10)])]. 112973 (x * (a(a(y,z,u),w,v5) \ v6)) \ v7 = a(a(y,z,u),w,v5) * ((x * v6) \ v7). [back_rewrite(31092),rewrite([112586(10)])]. 112974 (a(a(x,y,z),u,w) \ v5) \ v6 = a(a(x,y,z),u,w) * (v5 \ v6). [back_rewrite(30953),rewrite([112586(8)])]. 113093 x / ((y * x) / y) = K(x,y). [para(147(a,2),112109(a,1,2,1)),rewrite([3856(2),5754(5),49(5),7126(4),2045(5),12023(6),323(5),49(6)])]. 113136 (x * (y * z)) / T((x * y) * z,a(x,y,z) \ 1) = ((x * y) * z) \ (x * (y * z)). [para(7687(a,1),112109(a,2,1)),rewrite([561(4),351(6)])]. 113327 L(T(x,x \ 1),y,z) / T(x \ L(x,y,z),x) = L(x,L(x,y,z),x). [para(63806(a,1),112109(a,1,2,1)),rewrite([60(4),60848(11),49(9),324(8),98289(12),98298(14)])]. 113338 a(x,L(T(y * z,z \ 1) \ T(y,z),u,w),v5) = a(x,L((z * y) \ y,u,w),v5). [para(112109(a,1),70632(a,1,2,1)),flip(a)]. 113342 L(T(x,x \ 1),y,z) / T(x * L(1 / x,y,z),x) = T(x,x \ L(x,y,z)). [para(70237(a,1),112109(a,2,1)),rewrite([23218(4),60(4),98304(8),340(12),411(14,R)])]. 113368 L(x,y,(z * u) \ u) = L(x,y,(u * z) \ u). [para(112109(a,1),26402(a,1,3)),rewrite([96856(10),28466(9)])]. 113377 x / T(x * (L(y,z,u) \ y),y \ L(y,z,u)) = ((L(y,z,u) \ y) * x) \ x. [para(25190(a,1),112109(a,1,1)),rewrite([60848(8),49(6)])]. 113408 T(x / T(y,z),y) / T(x * K(z,y),y \ 1) = (y * (x / T(y,z))) \ (x / T(y,z)). [para(104859(a,2),112109(a,1,1)),rewrite([104859(3),110123(6)])]. 113532 R(x,x \ a(a(y,z,u),w,v5),v6) \ v6 = (x \ 1) * v6. [hyper(5083,a,95099,a(flip),b,112586,a(flip)),rewrite([28851(7),62239(7)]),flip(a)]. 113537 a(a(x,y,z),u,w) * ((v5 \ 1) * v6) = (v5 \ a(a(x,y,z),u,w)) * v6. [hyper(5081,a,95099,a(flip),b,112586,a(flip)),rewrite([113532(11)]),flip(a)]. 113538 a(a(x,y,z),u,w) * (v5 \ 1) = v5 \ a(a(x,y,z),u,w). [para(49(a,1),112586(a,1,2)),flip(a)]. 113544 a(a(x,y,z),u,w) * (v5 \ L(a(a(x,y,z),u,w) \ v6,v7,v8)) = v5 \ L(v6,v7,v8). [para(207(a,2),112586(a,1,2)),rewrite([6706(3),81685(7),51(6)]),flip(a)]. 113564 a(a(x,y,z),u,w) * (v5 \ (v6 * (a(a(x,y,z),u,w) \ v7))) = v5 \ (v6 * v7). [para(13288(a,2),112586(a,1,2)),rewrite([90284(6),547(3),28754(6),20095(7),6706(7),28754(8)]),flip(a)]. 113565 x \ L(y * a(a(z,u,w),v5,v6),v7,v8) = a(a(z,u,w),v5,v6) * (x \ L(y,v7,v8)). [para(6488(a,2),112586(a,1,2)),rewrite([547(3),561(5),86937(4)])]. 113572 x \ T(y * a(a(z,u,w),v5,v6),v7) = a(a(z,u,w),v5,v6) * (x \ T(y,v7)). [para(4081(a,1),112586(a,1,2)),rewrite([22141(4),11(7),408(6),547(10),561(10)])]. 113577 x \ (y * L(z * a(a(u,w,v5),v6,v7),v8,v9)) = a(a(u,w,v5),v6,v7) * (x \ (y * L(z,v8,v9))). [para(24422(a,2),112586(a,1,2)),rewrite([5536(6),7730(5),86937(4),561(11)])]. 113591 x \ L(a(a(y,z,u),w,v5) * v6,v7,v8) = a(a(y,z,u),w,v5) * (x \ L(v6,v7,v8)). [para(13542(a,2),112586(a,1,2)),rewrite([11(3),81685(5),48(6)])]. 113605 (x * x) \ a(a(y,z,u),w,v5) = x \ (x \ a(a(y,z,u),w,v5)). [para(67007(a,2),112586(a,2,2)),rewrite([113538(5),67007(9),71999(10),66558(8)]),flip(a)]. 113618 L(x,y \ a(a(z,u,w),v5,v6),v7) = L(x,y,v7). [para(112586(a,1),28106(a,1,2)),rewrite([22312(7)])]. 113623 x \ T(a(a(y,z,u),w,v5) * v6,v7) = a(a(y,z,u),w,v5) * (x \ T(v6,v7)). [para(112586(a,1),95539(a,1,1)),rewrite([20318(8),7726(6),95539(5)]),flip(a)]. 113705 (x * (y * z)) / T(y * x,z) = (y * x) \ (x * (y * z)). [para(50(a,1),112107(a,1,2,2))]. 113706 ((x \ y) * z) / T(y,x \ z) = y \ ((x \ y) * z). [para(51(a,1),112107(a,1,2,1)),rewrite([51(7)])]. 113760 (T(x,y) * z) / T(x * y,y \ z) = (x * y) \ (T(x,y) * z). [para(410(a,1),112107(a,1,2,1)),rewrite([410(8)])]. 113935 T(x,K(y,z * (u * (w * u)))) = T(x,K(y,z * w)). [para(112107(a,2),44462(a,1,2,2)),rewrite([112107(5),12016(4),74615(4),44462(4),108312(4),74619(8)]),flip(a)]. 114062 (x * y) / (L(y,z,u) * x) = (L(y,z,u) * x) \ (x * y). [para(25190(a,1),112107(a,1,2))]. 114213 ((x \ y) \ z) / T(z,y \ x) = z \ ((x \ y) \ z). [para(3361(a,2),113706(a,1,2,2)),rewrite([49(4),3361(6),60848(6),49(4),49(9)])]. 114395 ((x \ y) * K(z,u)) / T(y * K(z,u),x \ 1) = T(y \ (x \ y),K(z,u)). [para(32556(a,2),113706(a,1,2)),rewrite([41109(3),49(5),32556(8),41109(14),49(16),41109(15),12023(13),7726(15),5739(15),562(13)])]. 114415 K(x * a(y,z,u),x) = 1. [hyper(7049,a,14408,a,b,15051,a(flip)),rewrite([79452(3),561(6),82(6),6775(3)])]. 114426 T(a(x,y,z) * u,u) = a(x,y,z) * u. [hyper(5081,a,15051,a(flip),b,14408,a),rewrite([79452(3),561(6)]),flip(a)]. 114440 T(x,x / y) = T(x,y \ x). [para(51(a,1),14408(a,1,1)),rewrite([3346(3),51(4)])]. 114451 K(K(x,y) * z,x * y) = K(z,x * y). [para(14408(a,1),171(a,2,2)),rewrite([112302(6),8951(3),1300(7)])]. 114653 R(x,a(y,z,u),x) = x. [back_rewrite(6595),rewrite([114415(3),49(2)]),flip(a)]. 114693 R(x,a(y,z,u),T(x,w)) = x. [hyper(272,a,61,a,b,114653,a(flip))]. 115079 T(x / (a(y,z,u) \ 1),u \ L(u,z,y)) = (a(y,z,u) \ 1) \ x. [para(54(a,1),64423(a,1,1,2,1)),rewrite([12024(10),56(8),54(12)])]. 115174 T(x,T(y / z,y)) = T(x,z \ y). [para(64423(a,2),23218(a,2,2)),rewrite([337(5),337(7),36711(6),36300(6)]),flip(a)]. 115269 T(x \ y,y \ x) \ 1 = 1 / (x \ y). [para(64423(a,2),69340(a,1,1)),rewrite([337(5)])]. 115294 T(T(x \ y,y \ x),y \ x) = x \ y. [para(64423(a,2),66904(a,1,1)),rewrite([337(5),60848(7),49(5),337(10)])]. 115350 T(x,T((y \ z) / u,y * z)) = T(x,u \ (y \ z)). [hyper(5081,a,12024,a,b,115174,a),rewrite([12024(3),36711(8)]),flip(a)]. 115369 K(x / y,z \ y) = K(y \ x,y / z). [hyper(7088,a,115174,a(flip),b,1205,a),rewrite([2598(5),36551(5),26994(5),242(4),82(8)]),flip(a)]. 115388 T(x,y \ T(z,y)) = T(x,z / y). [para(174(a,1),115174(a,1,2,1)),rewrite([2948(5),115174(4),55693(3)]),flip(a)]. 115393 T(x,(y \ z) * K(u,z)) = T(x,y \ T(z,u)). [para(186(a,1),115174(a,1,2)),rewrite([2948(6),35921(5),115174(5),12023(3),97796(4),41109(6)]),flip(a)]. 115411 T(x,a(y,z,u) / w) = T(x,w \ a(y,z,u)). [para(561(a,1),115174(a,1,2))]. 115414 T(x,T(L(y,z,u) / w,y)) = T(x,w \ L(y,z,u)). [para(6174(a,1),115174(a,1,2))]. 115415 T(x,T(y,z * y)) = T(x,T(y,z)). [para(411(a,2),115174(a,2,2)),rewrite([337(2),36711(5),4773(4,R)]),flip(a)]. 115480 T(x,(y * y) / z) = T(x,z \ (y * y)). [para(62166(a,2),115174(a,2,2)),rewrite([27742(5),62166(7)])]. 115616 K(x / (y \ (z \ u)),T(w,y * (z * u))) = K(u \ (z * (y * x)),w). [para(115350(a,2),177(a,1,2)),rewrite([115350(8),27834(7),36703(7),60842(11),60842(11)])]. 115686 T(x,T((y \ a(z,u,a(w,v5,v6))) / v7,y)) = T(x,v7 \ (y \ a(z,u,a(w,v5,v6)))). [para(12981(a,2),115350(a,1,2,1,1)),rewrite([12981(5),12132(8)])]. 115798 T(x,y \ (z * (u \ (z \ y)))) = T(x,T(u \ 1,z * y)). [para(57973(a,2),115350(a,2,2)),rewrite([88331(7),57973(10),12024(10),60848(10)]),flip(a)]. 115799 T(x,T((y \ z) * u,y * z)) = T(x,u * (y \ z)). [para(57662(a,1),115350(a,1,2,1)),rewrite([59166(11),36711(11),49(9),262(9)])]. 115832 T(x,T((((y \ 1) \ 1) \ z) / u,y * z)) = T(x,u \ (L(y,y,y) \ z)). [para(80800(a,2),115350(a,2,2,2)),rewrite([92038(12),60848(10),324(9)])]. 116975 ((x \ y) * x) * x = y * (y / (y / x)). [para(3114(a,1),14463(a,1,1,1)),rewrite([51(2),112610(7),9005(6),2399(5),2412(6),3114(9)]),flip(a)]. 117226 (x \ T(y,z)) * x = T((x \ y) * x,z). [hyper(5142,a,7763,a,b,116975,a),rewrite([7763(7),41549(7),95766(4),80379(5),2412(3)]),flip(a)]. 117286 ((x \ y) * x) \ (y * ((a(a(z,u,w),v5,v6) * y) / ((a(a(z,u,w),v5,v6) * y) / x))) = x. [hyper(5083,a,7727,a(flip),b,116975,a),rewrite([112586(4),7727(5),112586(18),11962(17),28851(16),113564(18)])]. 118003 (x * (x / (x / y))) \ ((y \ x) * y) = L(y \ 1,y,x). [para(116975(a,1),12004(a,2,1)),rewrite([85435(5)]),flip(a)]. 118200 T(T(x,y * (z \ (1 / z))),u) = T(T(x,y),z \ (z \ u)). [back_rewrite(92238),rewrite([117226(10),108686(8),53(7)])]. 118285 L(x * a(a(y,z,u),w,v5),v6,v7) \ v8 = L(x,v6,v7) \ (a(a(y,z,u),w,v5) \ v8). [hyper(5081,a,11962,a,b,11562,a),rewrite([86937(4),11562(11)])]. 118292 x / L(L(y,z,u) \ y,w,v5) = L(L(y,z,u) \ y,w,v5) \ x. [hyper(295,a,25190,a(flip),b,11562,a)]. 118295 T(x / L(L(y,z,u),w,v5),y) = L(L(y,z,u),w,v5) \ x. [hyper(295,a,6174,a(flip),b,11562,a)]. 118297 x / L(a(y,z,u),w,v5) = L(a(y,z,u),w,v5) \ x. [hyper(295,a,561,a(flip),b,11562,a)]. 118304 (x * (L(x,y,z) \ u)) / x = u / L(x,y,z). [hyper(272,a,235,a,b,11562,a),rewrite([147(6,R)])]. 118314 T(x,y / L(x,z,u)) = T(x,L(x,z,u) \ y). [para(11562(a,1),196(a,1,2)),flip(a)]. 118328 (x / L(y,z,u)) * y = y * (L(y,z,u) \ x). [para(11562(a,1),410(a,1,2)),flip(a)]. 118330 (L(x,y,z) \ u) * (T(x,L(x,y,z) \ u) * w) = (u / L(x,y,z)) * (x * w). [para(11562(a,1),9213(a,1,1)),rewrite([118314(5)])]. 118332 L(x,y,z) * (L(x,u,w) \ v5) = (v5 / L(x,u,w)) * L(x,y,z). [para(11562(a,1),6488(a,1,1)),rewrite([118314(5),2195(7)])]. 118342 T(x / L(y,z,u),w) * y = y * T(L(y,z,u) \ x,w). [para(11562(a,1),845(a,1,2,1)),flip(a)]. 118410 T(x * (y / L(x,z,u)),y / L(x,z,u)) = T(x * (y / L(x,z,u)),L(x,z,u) \ y). [para(11562(a,1),14408(a,1,2)),flip(a)]. 118451 (T(x,y * y) * (L(T(x,y * y),z,u) \ w)) / ((y * y) \ x) = w / L((y * y) \ x,z,u). [hyper(5142,a,22473,a,b,118328,a),rewrite([31113(5),22473(7),50484(7),60(5)])]. 118454 (x * (L(x * a(y,z,a(u,w,v5)),v6,v7) \ v8)) / x = v8 / L(x * a(y,z,a(u,w,v5)),v6,v7). [hyper(5142,a,7732,a(flip),b,118328,a),rewrite([17630(13),32758(13)])]. 118469 (x / L(a(y,z,a(u,w,v5)) * v6,v7,v8)) \ (v6 * (L(v6,v7,v8) \ x)) = a(y,z,a(u,w,v5)) * v6. [hyper(5083,a,7729,a(flip),b,118328,a),rewrite([17090(12),9304(14)])]. 118476 T(x,y) * (L(T(x,y),z,u) \ w) = x * (L(x,z,u) \ w). [hyper(5081,a,7760,a,b,118328,a),rewrite([11208(5),118328(8)])]. 118478 L(T(x,y),z,u) \ T(L(x,z,u) * (x * (L(x,z,u) \ 1)),y) = x * (L(x,z,u) \ 1). [hyper(5081,a,2467,a,b,118328,a),rewrite([86282(10),118476(9),118328(16),118476(16)])]. 118518 (x / L(a(a(y,z,u),w,v5) \ v6,v7,v8)) \ (v6 * (L(a(a(y,z,u),w,v5) \ v6,v7,v8) \ x)) = v6. [hyper(5083,a,118328,a(flip),b,28754,a),rewrite([28754(17),112974(18),113564(18)])]. 118538 (x / L(T(y,x),z,u)) * y = y * (L(y,z,u) \ T(x,y)). [para(174(a,1),118328(a,1,1)),rewrite([60(2),6174(7)])]. 118539 K((L(x,y,z) \ u) * x,w) = K(x * (u / L(x,y,z)),w). [para(118328(a,1),181(a,1,1)),rewrite([2530(5)])]. 118547 x * (L(T(x,y),z,u) \ 1) = x * (L(x,z,u) \ K(y,x)). [para(225(a,2),118328(a,2,2)),rewrite([5537(2),118328(4),60(6)]),flip(a)]. 118552 T(x,T(y * (z / L(y,u,w)),L(y,u,w) * z)) = T(x,y * (L(y,u,w) \ z)). [para(118328(a,1),262(a,2,2)),rewrite([118410(6),36711(7)])]. 118583 (L(a(x,y,z),u,w) \ v5) * a(x,y,z) = a(x,y,z) * (L(a(x,y,z),u,w) \ v5). [para(15157(a,2),118328(a,1,1,2)),rewrite([15157(5),118297(3)])]. 118653 (x * (L(x,y,z) \ u)) \ ((u / L(x,y,z)) * w) = L(x \ w,x,L(x,y,z) \ u). [para(118328(a,1),382(a,2,1)),rewrite([26402(4)]),flip(a)]. 118658 (L(x,y,z) \ 1) * (L(x,y,z) \ x) = x / (L(x,y,z) * L(x,y,z)). [para(67007(a,2),118328(a,2,2)),rewrite([65871(5),68101(6),67007(11),71999(12)])]. 118680 x * (L(x,x,x) \ y) = K(x,x \ 1) * y. [para(70516(a,1),118328(a,2,2,1)),rewrite([118328(3),68908(9),64714(6)])]. 118715 (x * (L(x,y,z) \ u)) / ((w * w) \ x) = u / L((w * w) \ x,y,z). [back_rewrite(118451),rewrite([118476(7)])]. 118723 (L(x,y,z) \ x) * (L(x,y,z) \ 1) = x / (L(x,y,z) * L(x,y,z)). [back_rewrite(92765),rewrite([118658(6)]),flip(a)]. 118726 (L(x,y,z) \ 1) * (L(x,y,z) \ (x * u)) = x * ((L(x,y,z) * L(x,y,z)) \ u). [back_rewrite(92839),rewrite([118723(6),72092(5)]),flip(a)]. 118801 (x / T(T(y,z),z)) * y = y * (T(T(y,z),z) \ x). [para(52793(a,1),410(a,1,2)),flip(a)]. 119315 (x \ T(y,z)) * K(y,z) = x \ T(T(y,z),z). [para(118801(a,2),12004(a,2,1)),rewrite([26514(9),26514(8),60893(7),49(4),118801(7),56073(8),97804(8)]),flip(a)]. 119472 T(T(x,y / T(x,T(z,y))),u) = T(T(x,u),T(x,z) \ y). [para(105197(a,1),182(a,1,2)),flip(a)]. 119477 T(x,y / T(x,T(z,y))) = T(x,x \ y). [para(105197(a,1),196(a,1,2)),rewrite([50952(3)]),flip(a)]. 119553 (x * (y / T(x,T(z,y)))) \ (y / T(x,T(z,y))) = y \ (x \ y). [para(105197(a,1),57973(a,1,2)),rewrite([110123(4),1039(2),2978(3),11961(5),8936(4)]),flip(a)]. 119585 T(x,y * K(z,u)) \ (K(z,u) * w) = K(z,u) * (T(x,y) \ w). [para(30365(a,1),105197(a,1,1,2,2)),rewrite([105482(8),18151(12)])]. 119627 T(T(x,y),T(x,z) \ u) = T(T(x,x \ u),y). [back_rewrite(119472),rewrite([119477(4)]),flip(a)]. 119826 T(x \ (K(y,z) * u),x * K(z,y)) \ w = K(z,y) * (T(x \ u,x) \ w). [para(44061(a,1),105247(a,1,1,1)),rewrite([12023(14),11961(15),9113(16),119585(14)])]. 119857 K(x,y * y) * (z \ ((y * y) \ u)) = (T(y * y,x) * z) \ u. [para(67094(a,1),105247(a,2,2,1)),rewrite([105390(9),34328(8),11965(9)]),flip(a)]. 119896 a(x * L(T(y,z) \ u,w,v5),v6,v7) = a(x * L(y \ u,w,v5),v6,v7). [para(105247(a,1),110461(a,1,1,2,1)),rewrite([26470(8),110461(6),12585(10),70606(9)]),flip(a)]. 119922 T(T(K(x,y) * z,z \ u),z \ u) = K(x,y) * (T(z \ u,z) \ u). [back_rewrite(110011),rewrite([119826(13)])]. 119923 T((x \ y) \ (K(z,u) * y),x \ y) = K(z,u) * (T(x \ y,x) \ y). [back_rewrite(107625),rewrite([119826(13)])]. 119965 T(x / (y * z),z \ (y \ x)) = x / (y * z). [hyper(295,a,12024,a(flip),b,31412,a)]. 119979 T(1 / (x \ y),y \ x) = 1 / (x \ y). [para(3361(a,1),31412(a,1,2)),rewrite([3350(4),60848(7),49(5),3350(9)])]. 120013 K(x,T(y \ (z / u),u * z)) = K(x,z / (y * u)). [para(31412(a,1),5575(a,2,2)),rewrite([12024(5),27834(6),36703(6),104268(6)])]. 120065 K(x,y / (x * z)) = K(x,x \ (y / z)). [back_rewrite(101261),rewrite([120013(5)])]. 120119 T(x \ (K(y,z) * u),K(z,y) * x) = T(x \ u,x) * K(y,z). [hyper(5081,a,2244,a,b,44324,a),rewrite([411(10),12247(6),12023(3),11961(4),119923(6),12782(6)]),flip(a)]. 120122 T(x * K(y,z),x \ u) \ u = T(x \ u,x) * K(z,y). [hyper(5081,a,564,a,b,44324,a),rewrite([564(8),120119(11)])]. 120271 T(x \ a(y,z,u),x) * K(w,v5) = T(K(w,v5) * (x \ a(y,z,u)),x). [para(1143(a,2),44324(a,1,1,2)),rewrite([41109(4),18927(7),120122(12)]),flip(a)]. 120300 T(x * (K(y,z) * x),(K(z,y) / x) * K(z,y)) \ x = T(K(z,y) / x,x * x). [para(22924(a,1),44324(a,1,1)),rewrite([71360(4),7724(10),5784(11),104712(8),75459(4),7724(9),7726(11),7726(10),7726(9),5739(9),111631(9),11537(9),7724(12),43538(13),5754(12),22699(13),67632(12),75880(13)]),flip(a)]. 120318 (x / (K(y,z) * u)) * (K(y,z) * (u * w)) = (x / u) * (u * w). [para(44324(a,2),13287(a,1,1)),rewrite([120119(6),120122(13),36527(13),9832(13),18927(10),119922(10),7724(10),7725(11),5784(10),47574(7),24882(5),44061(8),109921(12)]),flip(a)]. 120534 K(x,y) * T(z \ u,z) = T(z \ (K(x,y) * u),z). [para(41117(a,1),44324(a,2,1)),rewrite([1039(3),27834(3),39358(4),41109(4),27834(7),39853(8),2925(8),41515(7),41963(4),12023(9),3851(8)]),flip(a)]. 120583 (K(x,y) / z) * (z * u) = L(K(x,y) * u,z,z). [back_rewrite(106323),rewrite([562(8),32259(10),31945(9),62167(8),26414(7),28083(5),120318(11)]),flip(a)]. 120864 a(x * L(y,x,x),z,u) = a(L(x * y,x,x),z,u). [para(120583(a,1),46456(a,1,1,1)),rewrite([27440(6),47335(7),47243(7),7726(4),26653(3),70668(5),26402(9),27381(9),28057(7),28115(7)])]. 120866 a(x * ((y * (y * z)) * u),w,v5) = a(x * (L(z,y,y) * u),w,v5). [para(120583(a,1),46702(a,2,1,2,1)),rewrite([77049(7),27440(9),12546(11)])]. 120917 L(x,y,L(z,u,u) * u) = L(x,y,L(u * z,u,u)). [para(120583(a,1),85526(a,1,3,1)),rewrite([27440(6),85753(7),85799(7),12075(5),26402(9),27381(9),28057(7),28115(7)])]. 120960 L(x,y,L((z \ 1) * u,z,z)) = L(x,y,L(z * u,z,z)). [back_rewrite(85668),rewrite([120917(8)])]. 120992 T(K(x,y) * (z \ a(u,w,a(v5,v6,v7))),z) = a(u,w,a(v5,v6,v7)) * ((1 / z) * K(x,y)). [hyper(295,a,12981,a,b,120122,a),rewrite([80272(8),69015(7),57871(8),71342(8),120271(13)]),flip(a)]. 121013 T(K(x,y) * (z \ a(u,w,a(v5,v6,v7))),z) / ((1 / z) * K(x,y)) = a(u,w,a(v5,v6,v7)). [hyper(5142,a,120122,a(flip),b,12981,a),rewrite([120271(6),80272(12),69015(11),57871(12),71342(12)])]. 121044 T(x,T(y \ z,y * u)) = T(x,T(z / y,u)). [para(120122(a,2),186(a,1,2)),rewrite([1039(3),879(3),120122(6),108750(5),27773(6),36300(4),27543(7)]),flip(a)]. 121262 T(x,T(y \ z,(y * u) * w)) = T(x,T(z / y,u * w)). [hyper(5083,a,121044,a(flip),b,5698,a),rewrite([5754(7),253(7),27543(4),27543(9)]),flip(a)]. 121273 T(x,T((y * (z * u)) / (y * z),w)) = T(x,T(u,(y * z) * w)). [para(56(a,1),121044(a,1,2,1)),rewrite([60(4),6174(5)]),flip(a)]. 121274 T(x,T(y,(z / y) * u)) = T(x,T(y,z * (y * u))). [para(160(a,1),121044(a,2,2,1)),rewrite([340(2),27773(9),44940(8)])]. 121309 T(x,T((y * z) / u,y)) = T(x,z / (y \ u)). [para(263(a,1),121044(a,1,2,2)),rewrite([2948(6),2948(6),36711(5),61871(5),36300(5),562(9),44620(9),610(10)])]. 121313 T(x,T(y,z * (y * u))) = T(x,T(y,u * z)). [para(340(a,1),121044(a,1,2,1)),rewrite([121274(4),36102(8)])]. 121314 T(x,(a(y,z,u) * w) / v5) = T(x,w / (a(y,z,u) \ v5)). [para(6592(a,1),121044(a,1,2,2)),rewrite([61871(5),3346(5),561(9)])]. 121349 T(x,(y \ z) / u) = T(x,y \ (z / u)). [para(14463(a,2),121044(a,1,2,2)),rewrite([14463(5),14675(6),12438(6),121262(6),27742(5),2948(8),35891(7)])]. 121362 T(x,T((T(y,z) * u) / w,y)) = T(x,u / (T(y,z) \ w)). [para(11215(a,1),121044(a,1,2,2)),rewrite([610(7),36711(6),61871(6),36300(6),610(11)])]. 121363 T(x,T((L(T(y,z),u,w) * v5) / v6,y)) = T(x,v5 / (L(T(y,z),u,w) \ v6)). [para(19895(a,1),121044(a,1,2,2)),rewrite([610(9),36711(8),61871(8),36300(8),6174(6),610(13)])]. 121370 T(x,T(((y * y) * z) / u,w)) = T(x,T(z / ((y * y) \ u),w)). [para(22473(a,2),121044(a,1,2,2)),rewrite([23536(3),22473(6),74263(7),121044(8),67250(6),36711(7),51(5)])]. 121371 T(x,T(L(y,z,z) / (1 / z),u)) = T(x,T(y * z,u)). [para(22931(a,1),121044(a,1,2,1)),rewrite([75013(5),36711(4),40430(4)]),flip(a)]. 121391 T(x,T(y \ ((1 / z) \ u),(z * y) * w)) = T(x,T(u / ((1 / z) * y),w)). [para(26378(a,1),121044(a,1,2,1)),rewrite([12438(8),121370(14),22473(11),22924(10)])]. 121395 T(x,T(y / (z \ 1),u)) = T(x,T(y * z,u)). [para(31945(a,1),121044(a,1,2,2)),rewrite([92543(7),9805(8),36711(6),61871(6),324(3),40430(4),9805(10)]),flip(a)]. 121397 T(x,y / (z \ 1)) = T(x,y * z). [para(31850(a,1),121044(a,1,2,2)),rewrite([36711(7),9827(7),61871(5),324(3),4758(3),610(8)]),flip(a)]. 121448 T(x,T(y \ z,u * (w * y))) = T(x,T(z / y,u * w)). [para(50010(a,2),121044(a,1,2,2)),rewrite([36545(6),44940(5),36711(10),36545(10)])]. 121463 T(x,T(y \ z,(u * y) * w)) = T(x,T((u * z) / (u * y),w)). [para(382(a,2),121044(a,1,2,1)),rewrite([60(5),6174(6)])]. 121484 T(x,T(y / (1 / z),u)) = T(x,T(y * z,u)). [para(60426(a,2),121044(a,1,2,2)),rewrite([60426(5),75013(7),36711(6),92470(6),40430(4)]),flip(a)]. 121492 T(x,T(y / L(z,z,z),z * u)) = T(x,T(L(z,z,z) \ y,u)). [para(81194(a,1),121044(a,1,2,2)),rewrite([68213(5),27838(6),60848(10),324(9)]),flip(a)]. 121494 T(x,T(y \ z,L(y,y,y) * u)) = T(x,T(z / L(y,y,y),u)). [para(80800(a,1),121044(a,1,2,1)),rewrite([61871(9),324(5),92045(7)])]. 121495 T(x,T(L(y,y,y) \ z,y * u)) = T(x,T(z * (y \ 1),u)). [para(80800(a,2),121044(a,1,2,1)),rewrite([92038(8),60848(6),324(5),121395(12)])]. 121523 T(x,T(y / z,u * z)) = T(x,T(z \ y,u)). [para(6724(a,1),121044(a,2,2)),rewrite([50(3),1518(8)])]. 121531 T(x,T(y / (z * u),w * z)) = T(x,T((z \ y) / u,w)). [para(112220(a,1),121044(a,1,2,2)),rewrite([27722(7),12438(5),121044(5),36711(10),36545(10)]),flip(a)]. 121540 T(x,T(y \ ((y \ z) \ u),z * (z / (z / y)))) = T(x,T(u / ((y \ z) * y),y)). [para(116975(a,1),121044(a,1,2,2)),rewrite([12438(8)])]. 121548 T(x,T(y / (K(z,u) / w),w * v5)) = T(x,T((K(z,u) / w) \ y,v5)). [para(120583(a,1),121044(a,1,2,2)),rewrite([6174(7),9805(7)]),flip(a)]. 121642 T(x,T(L(y,z,z) * z,u)) = T(x,T(y * z,u)). [back_rewrite(121371),rewrite([121484(6)])]. 121738 T(((x \ K(y,z)) \ 1) \ u,K(z,y) * x) = T(((x \ 1) \ 1) \ u,x) * K(y,z). [para(80800(a,1),120119(a,2,1,1)),rewrite([80914(4),26458(8),80753(8),60848(10),49(8),5754(7),6174(15)])]. 121787 T(T(x \ (x \ 1),y),z) = T(x \ (x \ 1),z * y). [hyper(7088,a,2244,a,b,67217,a),rewrite([119627(11),12024(9),112412(9),51(8),54262(8),74179(10)])]. 121902 x / T(y * y,z * x) = T(y * y,z) \ x. [hyper(295,a,845,a,b,67217,a),rewrite([121787(5),74048(6)])]. 121921 T(x * x,y) \ T(T(z,T(x \ (x \ 1),y)),u) = T(z,u) / T(x * x,y). [hyper(295,a,845,a(flip),b,67217,a),rewrite([74048(6)]),flip(a)]. 122083 (x / T(y * y,z)) * u = x * (T(y * y,z) \ u). [para(67217(a,1),7687(a,1,2,2)),rewrite([13927(5),67275(4),48(6),74048(9)]),flip(a)]. 122095 (T(x * x,y) * z) \ u = z \ (T(x * x,y) \ u). [para(67217(a,2),11892(a,1,1,2)),rewrite([67217(5),25262(7),320(6)]),flip(a)]. 122187 x / T(y \ (y \ 1),z) = x * T(y * y,z). [para(67217(a,2),57662(a,1,2,1)),rewrite([49(6),26536(7),321(6)])]. 122315 K(x,y * y) * (z \ ((y * y) \ u)) = z \ (T(y * y,x) \ u). [back_rewrite(119857),rewrite([122095(10)])]. 122381 K(x \ y,y \ x) / (x \ y) = (x \ y) \ 1. [hyper(5083,a,115269,a(flip),b,9113,a),rewrite([5754(7),75459(7)])]. 122505 1 / (x \ L(x,y,z)) = (x \ L(x,y,z)) \ 1. [para(63806(a,2),115269(a,1,1,1)),rewrite([63806(4),25190(5)]),flip(a)]. 122610 K(x,(y \ z) / u) = K(x,y \ (z / u)). [hyper(7088,a,121349,a(flip),b,168,a),rewrite([2598(4),959(4),82(7)])]. 122622 T(x,T((y \ z) / u,w)) = T(x,T(y \ (z / u),w)). [hyper(5083,a,121349,a(flip),b,5698,a),rewrite([5754(7),253(7)]),flip(a)]. 122659 T(x,(y / z) \ (y / u)) = T(x,z / u). [para(340(a,1),121349(a,1,2,1)),flip(a)]. 122662 T(x,y \ (y / z)) = T(x,z \ 1). [para(323(a,1),121349(a,1,2,1)),rewrite([23218(3)]),flip(a)]. 122673 T(x,y \ (a(z,u,a(w,v5,v6)) / v7)) = T(x,y \ (1 / v7)). [para(12879(a,1),121349(a,1,2,1)),rewrite([121349(4),68395(12),121349(9)]),flip(a)]. 122744 T(x,y \ (z * z)) = T(x,z * (z / y)). [para(61612(a,1),121349(a,1,2,1)),rewrite([115480(3),60848(8),324(7)])]. 122755 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(69340(a,1),121349(a,1,2,1)),rewrite([35837(4),23218(4),12024(4),60848(12),324(11),76435(10),121349(8)]),flip(a)]. 122833 K(x,T(y \ ((z \ u) \ w),u * (z * w))) = K(x,u \ (z * (w / y))). [back_rewrite(61975),rewrite([122610(11),60845(11)])]. 122853 T(x,T(y / (z * u),w * z)) = T(x,T(z \ (y / u),w)). [back_rewrite(121531),rewrite([122622(9)])]. 122868 T(x,y \ (L(z,z,z) \ u)) = T(x,y \ (z \ u)). [back_rewrite(115832),rewrite([122622(9),61871(9),324(6),92045(7),121044(5),35720(4),115174(4),12024(3)]),flip(a)]. 122887 T(x,y \ (z \ a(u,w,a(v5,v6,v7)))) = T(x,y \ (z \ 1)). [back_rewrite(115686),rewrite([122622(6),3346(6),35837(5),115411(5),80272(5),12024(4)]),flip(a)]. 122939 T(x,(y * y) / z) = T(x,y * (y / z)). [back_rewrite(115480),rewrite([122744(6)])]. 122980 x * (x * K(y,x * x)) = T(x * x,x * (x / y)). [back_rewrite(75292),rewrite([122744(8)])]. 123007 T(x,y \ (a(z,u,a(w,v5,v6)) / v7)) = T(x,y \ (v7 \ 1)). [back_rewrite(122673),rewrite([122755(9)])]. 123049 T(x,y \ (((z \ 1) \ 1) \ u)) = T(x,y \ (z \ u)). [back_rewrite(82659),rewrite([122868(4)]),flip(a)]. 123080 T(x,T(y \ ((y * z) / u),w)) = T(x,T(z / u,w)). [para(50(a,1),122622(a,1,2,1,1)),flip(a)]. 123129 T(x,T(y \ (y / z),u)) = T(x,T(z \ 1,u)). [para(323(a,1),122622(a,1,2,1,1)),rewrite([23293(4)]),flip(a)]. 123218 T(x,T(y \ (1 / z),u)) = T(x,T(y \ (z \ 1),u)). [para(69340(a,1),122622(a,1,2,1,1)),rewrite([35720(5),23293(5),12438(5),61871(14),324(12),92045(12)]),flip(a)]. 123322 K(x,y \ (a(z,u,w) * (y / v5))) = K(x,v5 \ a(z,u,w)). [para(6743(a,1),122610(a,1,2,1)),rewrite([36388(3),60845(8)]),flip(a)]. 123324 K(x,y \ (y / z)) = K(x,z \ 1). [para(323(a,1),122610(a,1,2,1)),rewrite([23270(3)]),flip(a)]. 123354 K(x,y * (L(z,y,y) / u)) = K(x,(y * z) / u). [para(22931(a,1),122610(a,1,2,1)),rewrite([91776(9)]),flip(a)]. 123403 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(69340(a,1),122610(a,1,2,1)),rewrite([5649(4),23270(4),12016(4),60845(12),324(11),76040(10),122610(8)]),flip(a)]. 123511 K(x,T(y \ (z \ 1),z)) = K(x,z \ (y \ 1)). [back_rewrite(92148),rewrite([123403(9)])]. 123563 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(5081,a,23218,a(flip),b,37797,a),rewrite([75459(7),75559(6)]),flip(a)]. 123584 T(x,y * (K(z,x) * u)) = T(x,y * u). [para(13288(a,2),37797(a,1,2)),rewrite([5754(3),2598(4),37797(3),5754(4),7724(5),9085(6),74(2),7755(4),8587(4),9510(4),7725(5)]),flip(a)]. 123608 T(x,y * T(x,z)) = T(x,x * y). [para(13226(a,1),37797(a,1,2)),rewrite([53889(4),4773(5)])]. 123660 T(x,y \ K(z,T(u,w))) = T(x,y \ K(u,z)). [para(1391(a,1),115174(a,1,2)),rewrite([104436(5),2925(6),75459(4),75559(3)]),flip(a)]. 123691 (x \ 1) \ R(y,x,x) = T(y * x,x \ 1). [hyper(7088,a,9670,a,b,51178,a),rewrite([562(3),6658(3),104859(11),3815(11),112632(10)]),flip(a)]. 123713 R(x,y,y) / (y \ 1) = x * y. [hyper(5142,a,9670,a,b,51178,a),rewrite([104859(5),3815(5),112632(4),3657(7)])]. 123722 (x * y) \ R(x,y,y) = y \ 1. [hyper(5083,a,9670,a,b,51178,a),rewrite([562(3),6658(3),104859(6),3815(6),112632(5)])]. 123770 T(x,y * (z \ K(u,z))) = T(x,y / T(z,u)). [para(51178(a,2),157(a,1,2)),rewrite([51178(7),610(8),9760(6),32212(6),91687(8),9602(9),168(7),11427(8),43135(8)])]. 123794 T(x,y * (z \ 1)) = T(x,y / z). [para(51178(a,2),253(a,2,2)),rewrite([73(4),75(4),74(4),149(5),9760(8),32212(8),123770(6),34364(6),168(3),9760(5),48281(5),51178(7),610(8)]),flip(a)]. 124065 R(x,y * (x \ 1),x) = R(x,x \ y,x). [back_rewrite(108037),rewrite([123794(6),110185(4),107822(4)]),flip(a)]. 124219 a(R(x,y,y),z,u) = a(L(x,y,y),z,u). [para(123722(a,1),12556(a,1,1,1)),rewrite([46633(5),75356(3)]),flip(a)]. 124344 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(13654(a,1),123722(a,1,1)),rewrite([63(4),82013(3),76351(5)])]. 124409 T(K(x,y) * K(z,u),K(w,v5)) = K(x,y) * K(z,u). [hyper(5081,a,30311,a,b,11774,a),rewrite([30311(7),2598(8),1671(8)])]. 124421 T(x,K(y,z) * u) * K(w,v5) = T(T(x,u) * K(w,v5),K(z,y)). [para(59(a,1),11774(a,1,1)),rewrite([9760(3)])]. 124721 K(x,T(y,z * u)) * (K(y,T(x,z)) * (w \ u)) = w \ T(u,K(y,x)). [hyper(7088,a,43836,a(flip),b,108950,a),rewrite([1391(3),1391(7),53525(5),5754(11),1039(6)]),flip(a)]. 124870 a(x,y,z) \ T(u,K(w,v5)) = T(a(x,y,z) \ u,K(w,v5)). [back_rewrite(109258),rewrite([124721(9),562(3),562(8)])]. 124987 T(x \ K(y,T(z,u)),K(z,y)) = K(y,T(z,u)) * (x \ 1). [para(11005(a,1),54611(a,1,1)),rewrite([12023(5),1039(2),11961(10),1039(7),49(9)]),flip(a)]. 125088 T(x * K(y,z),u * K(u * x,w)) = T(x * K(y,z),T(u,w)). [para(10268(a,1),55865(a,2,1)),rewrite([562(5),108422(5),40241(3),562(2),41443(6),73(2),75(2),74(2),7754(5),11774(4),59(5),11427(5),2045(4),186(5),562(12),108422(12),11427(10),39996(9)]),flip(a)]. 125463 T(x,y * (z \ (1 / z))) = T(x,z \ (z \ y)). [para(62160(a,2),115799(a,1,2,1,1)),rewrite([62160(5),68101(4),1816(7),44462(8),48(6),948(5),408(6),92038(5)]),flip(a)]. 125556 T(T(x,y \ (y \ z)),u) = T(T(x,z),y \ (y \ u)). [back_rewrite(118200),rewrite([125463(5)])]. 125612 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(189(a,1),36619(a,1,2,1)),rewrite([12023(6)]),flip(a)]. 125629 T(x,T(y \ z,y) \ u) = T(x,(z / y) \ u). [para(412(a,1),36619(a,1,2,1,1))]. 125720 T(x,((y * z) / y) \ u) = T(x,T(z,y) \ u). [back_rewrite(12402),rewrite([125612(8)])]. 125935 T(x,(y / z) \ L(T(z \ y,z),u,w)) = T(x,y \ (z * L(z \ y,u,w))). [para(63806(a,2),125629(a,1,2)),rewrite([63806(8),64035(6),60848(5)]),flip(a)]. 126056 T(x,(y \ z) * K(y,u)) = T(x,T(y,u) \ z). [hyper(295,a,162,a(flip),b,125612,a)]. 126551 T(x,T(y / (z * K(u,w)),v5)) = T(x,T((y / z) * K(w,u),v5)). [para(42098(a,1),13086(a,1,2,1)),rewrite([9510(2),5754(7),35940(10)])]. 126552 T(x,T(y * K(z,T(u,w)),v5)) = T(x,T(y * K(z,u),v5)). [para(42661(a,1),13086(a,1,2,1)),rewrite([2598(2),9510(3),1039(2),9510(7)])]. 126611 T(x,T(y / (z \ (K(u,w) * v5)),v6)) = T(x,T((y / (z \ v5)) * K(w,u),v6)). [back_rewrite(43814),rewrite([126552(7)]),flip(a)]. 126630 K(x / y,z * z) = K(y \ x,z * z). [hyper(7088,a,51551,a(flip),b,1205,a),rewrite([2598(5),36551(5),2734(5),82(8)]),flip(a)]. 126679 T(x,T(y \ (y \ 1),z)) = T(x,y \ (y \ 1)). [para(31938(a,2),51551(a,1,2,1)),rewrite([31938(7),62160(5),123218(5),62160(10),122755(9)])]. 126705 K(x \ L(x,y,z),u * u) = 1. [back_rewrite(98944),rewrite([126630(4)])]. 126735 T(x * x,y) \ T(z,x \ (x \ u)) = T(z,u) / T(x * x,y). [back_rewrite(121921),rewrite([126679(7),125556(7),408(4)])]. 126834 T(x,L(y,z,u) * (u * z)) = T(x,T((z * y) * u,z)). [para(11786(a,2),4758(a,2,2)),rewrite([380(3),40430(5),11786(8)]),flip(a)]. 126847 T(x,L(L(y,z,u),w,v5) * (u * z)) = T(x,T((z * L(y,w,v5)) * u,z)). [para(24271(a,1),4758(a,1,2,1)),rewrite([40430(6)]),flip(a)]. 126893 T(x,y \ (z * (y \ 1))) = T(x,y \ (z / y)). [para(80946(a,2),4758(a,1,2,1)),rewrite([80946(5),71013(7),123794(10),121349(8)])]. 126941 T(x,T((y * L(T(z,u * y),w,v5)) * u,y)) = T(x,u * (y * L(z,w,v5))). [back_rewrite(24449),rewrite([126847(7)])]. 127038 T(x,T(y / (z * (u * w)),(z * u) * w)) = T(x,w \ (u \ (z \ y))). [para(7687(a,1),121523(a,1,2,2)),rewrite([561(12),12024(11),12024(11)])]. 127048 T(x,T(y / z,u * ((w * v5) * z))) = T(x,T(z \ y,v5 * (w \ u))). [para(12024(a,1),121523(a,2,2)),rewrite([44940(6),36711(11)])]. 127072 T(x,T(y \ (z / u),u * w)) = T(x,T(u \ (y \ z),w)). [para(11786(a,2),121523(a,1,2,2)),rewrite([11786(6),126834(6),2948(7),122853(6),6174(9),12438(9)])]. 127090 T(x,T(y * z,u / z)) = T(x,T(z * y,u)). [para(22931(a,1),121523(a,2,2,1)),rewrite([76435(8),121484(7),121642(5)])]. 127126 T(x,T(y / ((z * u) * w),(T(z,v5) * u) * w)) = T(x,w \ ((z * u) \ y)). [para(8630(a,1),121523(a,1,2,2)),rewrite([610(14),12024(12)])]. 127159 T(x,T((y * y) * z,u)) = T(x,T(y * (y * z),u)). [para(67715(a,1),121523(a,2,2,1)),rewrite([123794(8),121395(7),127090(5)]),flip(a)]. 127165 T(x,y \ (z / (u \ 1))) = T(x,(y \ z) * u). [para(61614(a,2),121523(a,1,2,2)),rewrite([61614(8),75341(9),2948(7),35891(6),12438(11),61871(11),324(9),4758(9)])]. 127192 T(x,T(y / z,u * (w * z))) = T(x,T(z \ y,w * u)). [para(95099(a,2),121523(a,1,2,2)),rewrite([95099(5),44940(5),36711(9)])]. 127204 T(x,T(y * z,u * y)) = T(x,T(z * y,u)). [para(95525(a,2),121523(a,1,2,2)),rewrite([95525(7),123794(8),121349(6),335(4),36711(7),49(5),121395(5),36711(9),61871(9),324(6)]),flip(a)]. 127270 T(x,y * (y * T(z,u))) = T(x,T(y * (y * z),u)). [back_rewrite(68536),rewrite([127159(8)])]. 127282 T(x,T(y \ z,(u * w) * v5)) = T(x,T(y \ z,w * (u \ v5))). [back_rewrite(127048),rewrite([127192(6)])]. 127326 T(x,T((y * z) / (y * u),w)) = T(x,T(z / u,y * w)). [back_rewrite(121463),rewrite([127282(5),121044(5),36711(4)]),flip(a)]. 127329 T(x,T(y / ((1 / z) * u),w)) = T(x,T((y / u) * z,w)). [back_rewrite(121391),rewrite([127282(8),121044(8),36711(7),122622(7),92470(7),40430(5)]),flip(a)]. 127338 T(x,T(y,(z * u) * w)) = T(x,T(y,u * (z * w))). [back_rewrite(121273),rewrite([127326(6),27739(5)]),flip(a)]. 127350 T(x,T(y,z * (u * (u * w)))) = T(x,T(y,w * z)). [back_rewrite(27847),rewrite([127338(5),127338(5)])]. 127363 T(x,T(y / ((z * u) * w),u * (T(z,v5) * w))) = T(x,w \ ((z * u) \ y)). [back_rewrite(127126),rewrite([127338(8)])]. 127369 T(x,T(y / (z * (u * w)),u * (z * w))) = T(x,w \ (u \ (z \ y))). [back_rewrite(127038),rewrite([127338(7)])]. 127522 K(x \ (x / y),T(z,u)) = K(y \ 1,T(z,u)). [para(123129(a,1),84(a,1,2)),rewrite([84(5),1039(4),1039(8)]),flip(a)]. 127632 T(x,y \ (a(z,u,w) \ y)) = T(x,a(z,u,w) \ 1). [para(96622(a,1),123129(a,2,2)),rewrite([6706(2),15(5),408(5)])]. 127824 T(x,T((y \ z) * u,z * y)) = T(x,u * (y \ z)). [para(64423(a,2),3346(a,1,2,1)),rewrite([64423(6),60848(8),49(6),36711(7),61871(7),324(4),121397(10)])]. 127907 T(x,L(T(y,K(z,u)),w,v5) \ v6) = T(x,L(y,w,v5) \ v6). [para(60(a,1),45306(a,1,2,1))]. 127919 K(x,(T(y,K(z,u)) \ w) * v5) = K(x,(y \ w) * v5). [para(45306(a,1),229(a,1,2,1)),rewrite([19929(7),229(5)]),flip(a)]. 128030 K((x * y) / z,T(u,x)) = K(y / (x \ z),u). [hyper(5083,a,36711,a(flip),b,263,a),rewrite([82(8),60842(5),34834(5)])]. 128046 T(x,T(y,z / u)) = T(x,T(y,z * u)). [para(194(a,1),36711(a,1,2,2)),rewrite([115388(3),220(6)])]. 128059 T(x,T(y,z * (u \ w))) = T(x,T(y,z * (u * w))). [para(7687(a,2),36711(a,2,2,2)),rewrite([12024(3),36711(4),7687(8),127338(8)])]. 128061 T(x,T(y,z * (K(u,w) * v5))) = T(x,T(y,z * v5)). [para(7725(a,1),36711(a,2,2,2)),rewrite([12023(3),128059(5),9805(5)]),flip(a)]. 128116 T(x,T(y,z * (T(u,w) * v5))) = T(x,T(y,z * (u * v5))). [para(12020(a,1),36711(a,1,2,2)),rewrite([60848(4),36711(5),128061(11),44940(9)])]. 128117 T(x,T(y,z * (z / u))) = T(x,T(y,u)). [para(23196(a,2),36711(a,1,2,2)),rewrite([23196(4),122755(5),12024(5),36711(6),51(4),36711(4),49(2),76435(7),122939(5)]),flip(a)]. 128126 T(x,T(y,z * T(u,w))) = T(x,T(y,u * z)). [para(8487(a,1),36711(a,2,2,2)),rewrite([5754(4),8597(4),36545(5)])]. 128147 T(x,T(y,L(z,z,z) * u)) = T(x,T(y,z * u)). [para(80800(a,1),36711(a,1,2,2)),rewrite([60848(6),324(5),92038(4),36711(3)]),flip(a)]. 128160 T(x,T(y,z * (u * T(w,v5)))) = T(x,T(y,z * (u * w))). [para(96964(a,1),36711(a,2,2,2)),rewrite([60848(5),41109(4),61915(5),126056(5),36711(5),36545(5),127338(4),36711(9),128059(9)]),flip(a)]. 128185 K(x \ (y * z),u) * (z * w) = z * (K(z / (y \ x),u) * w). [back_rewrite(39463),rewrite([128030(4)]),flip(a)]. 128213 T(x,T(y * z,u * z)) = T(x,T(z * y,u)). [back_rewrite(127090),rewrite([128046(4)])]. 128377 T(x,T(y / ((z * u) * w),u * (z * w))) = T(x,w \ ((z * u) \ y)). [back_rewrite(127363),rewrite([128116(8)])]. 128384 T(x,T(y / ((z \ u) * z),z)) = T(x,(z * (y / z)) / u). [back_rewrite(121540),rewrite([128117(8),128046(6),36300(6),122622(5),61871(5),3346(5)]),flip(a)]. 128421 T(x,T(y / L(z,z,z),u)) = T(x,T(y / z,u)). [back_rewrite(121494),rewrite([128147(5),121044(4)]),flip(a)]. 128457 T(x,(y * z) * R(u,y,z)) = T(x,T(z * (u * y),y)). [back_rewrite(101944),rewrite([128213(5)]),flip(a)]. 128465 T(x,T(L(y,y,y) \ z,u)) = T(x,T(y \ z,u)). [back_rewrite(121492),rewrite([128421(5),36299(4)]),flip(a)]. 128476 T(x,T(y * (z \ 1),u)) = T(x,T(y / z,u)). [back_rewrite(121495),rewrite([128465(5),121044(4)]),flip(a)]. 128498 (x * T(y,y \ 1)) \ x = L(1 / y,y,x). [para(64657(a,1),56(a,1,2,2)),rewrite([49(6),26536(11)])]. 128499 R(x,T(y,y \ 1),1 / y) = R(x,y,y). [para(64657(a,1),57(a,1,2)),rewrite([90192(7),336(3)]),flip(a)]. 128569 (T(x,x \ 1) * y) * (1 / x) = (x * y) * (x \ 1). [para(64657(a,1),1153(a,2,2)),rewrite([1039(4),27834(4),49(2),959(2),128499(8),94253(3),336(13)]),flip(a)]. 128570 R(x \ 1,x,x) = 1 / x. [para(64657(a,1),94500(a,2,2)),rewrite([2244(5),128499(8),336(7)])]. 128800 ((L(x,y,z) \ x) \ 1) \ K(u,w) = (L(x,y,z) \ x) * K(u,w). [para(91472(a,1),31854(a,1,1)),flip(a)]. 128946 (x \ 1) \ (K(y,x) * z) = (x \ K(x,y)) \ z. [para(80774(a,1),41963(a,1,1,2)),rewrite([5537(2),31968(5)]),flip(a)]. 128949 K(x,x \ 1) * (y * (x \ z)) = y * (((x \ 1) \ 1) \ z). [para(80774(a,1),47565(a,1,1,1)),rewrite([92381(5),64714(9)]),flip(a)]. 128975 x * L(T(x,x \ 1),y,z) = x * L(L(x,x,x),y,z). [para(80774(a,1),86612(a,1,2)),rewrite([91037(3)]),flip(a)]. 129157 T(x,x * y) * (y * x) = x * ((x * (y * x)) / x). [para(4773(a,1),203(a,1,1))]. 129158 T((x * y) / x,x * y) = L(y,x,y). [para(203(a,2),4773(a,1,2)),rewrite([220(5),80213(4),53(6)]),flip(a)]. 129161 T(x,x * y) * (y * x) = L(x,y,x) * (x * y). [para(4773(a,1),210(a,2,1)),rewrite([36595(3),7726(4),149(3),11786(4)]),flip(a)]. 129347 L(x,y,x) * (x * y) = x * ((x * (y * x)) / x). [back_rewrite(129157),rewrite([129161(4)])]. 129369 K(x,y) * T(K(y,x) * z,a(u,w,v5) \ 1) = T(z,a(u,w,v5) \ 1). [hyper(5142,a,127632,a,b,41117,a(flip)),rewrite([27834(5),49(3),561(2),127632(6),9510(8),9665(8)])]. 129395 T(x / (y \ (a(z,u,w) \ y)),a(z,u,w) \ 1) = (y \ (a(z,u,w) \ y)) \ x. [hyper(295,a,412,a(flip),b,127632,a),flip(a)]. 129399 K(x,y \ (a(z,u,w) \ y)) = K(x,a(z,u,w) \ 1). [hyper(7088,a,127632,a(flip),b,168,a),rewrite([2598(5),959(5),82(9)])]. 129403 K(x \ (a(y,z,u) \ x),w) = K(a(y,z,u) \ 1,w). [para(127632(a,1),84(a,1,2)),rewrite([84(5)]),flip(a)]. 129423 T(x,a(y,z,u) \ 1) != x | T(w \ (a(y,z,u) \ w),x) = w \ (a(y,z,u) \ w). [para(127632(a,1),286(a,1))]. 129436 (x * (y * (z \ (a(u,w,v5) \ z)))) / T(x * y,a(u,w,v5) \ 1) = L(z \ (a(u,w,v5) \ z),y,x). [para(127632(a,1),7336(a,1,2))]. 129446 (x \ (a(y,z,u) \ x)) \ (K(w,v5) * v6) = K(w,v5) * ((x \ (a(y,z,u) \ x)) \ v6). [para(127632(a,1),41963(a,1,1,2)),rewrite([27834(5),49(3),561(2)]),flip(a)]. 129481 ((x \ (a(y,z,u) \ x)) \ T(w,a(y,z,u) \ 1)) \ (T(x \ (a(y,z,u) \ x),w) \ w) = 1. [hyper(7049,a,194,a,b,129395,a),rewrite([127632(4),129395(12)])]. 129485 (T(x \ (a(y,z,u) \ x),w) \ w) \ ((x \ (a(y,z,u) \ x)) \ T(w,a(y,z,u) \ 1)) = 1. [hyper(7049,a,129395,a,b,194,a),rewrite([127632(9),129395(17)])]. 129507 T(x \ (a(y,z,u) \ x),x \ (a(y,z,u) * (x * w))) = ((x \ (a(y,z,u) \ x)) \ w) \ w. [para(129395(a,2),411(a,1,2)),rewrite([129395(11),60848(8),60848(8)])]. 129521 K(x,y / ((z \ (a(u,w,v5) \ z)) * v6)) = K(x,z \ (a(u,w,v5) * (z * (y / v6)))). [para(129395(a,1),5575(a,1,2)),rewrite([60845(6),60845(6),27834(16),49(14),561(13)]),flip(a)]. 129524 T(x,K(y,z * (u * (a(w,v5,v6) \ u)))) = T(x,K(y,z)). [para(129395(a,2),44462(a,1,2,2)),rewrite([129395(8),60845(5),60845(5),44462(6),74619(6),45485(6),74619(4),44864(4),74691(8)]),flip(a)]. 129659 K(x \ (x / y),z) = K(y \ 1,z). [hyper(5142,a,122662,a(flip),b,86499,a),rewrite([122662(10),43610(11),27834(6),49(4),127522(4),879(4),5548(3)]),flip(a)]. 129771 ((x \ y) * (x / z)) / T(y,z \ 1) = y \ ((x \ y) * (x / z)). [para(122662(a,1),113706(a,1,2))]. 129848 T(x,(y \ ((z \ 1) * u)) * z) = T(x,y \ T(u,z \ 1)). [para(147(a,1),127165(a,1,2,2)),rewrite([41109(5),115393(6)]),flip(a)]. 129861 T(x,(T(y,z * u) \ z) * u) = T(x,z / (y * (u \ 1))). [para(194(a,1),127165(a,1,2)),rewrite([115388(6),35837(5),121397(9)]),flip(a)]. 129954 T(x,L(y \ 1,y,z) * u) = T(x,((z * y) \ z) * u). [para(12004(a,2),127165(a,2,2,1)),rewrite([127165(6)]),flip(a)]. 129958 T(x,L(y \ z,y,u) * w) = T(x,((u * y) \ (u * z)) * w). [para(382(a,2),127165(a,2,2,1)),rewrite([127165(7)]),flip(a)]. 130534 T(T(x,y),z) * (y * x) = x * (T(x,T(z,y)) * y). [hyper(5083,a,3491,a(flip),b,8487,a),rewrite([5754(5),1039(2),7763(5),241(4)]),flip(a)]. 130543 K(x * y,x) * K(x,y) = a(x,y,x). [para(3491(a,1),54(a,1,1)),rewrite([14463(5),98457(6),12463(6)])]. 130748 a(x * ((y * (z * y)) * u),w,v5) = a(x * (L(z,y,y) * u),w,v5). [para(3491(a,1),46302(a,1,1,2,1)),rewrite([120866(5)]),flip(a)]. 130749 a(x * (R(y,z,z) * u),w,v5) = a(x * (L(y,z,z) * u),w,v5). [para(3491(a,1),46302(a,2,1,2,1)),rewrite([130534(4),47001(7),75516(5),120866(9)])]. 130753 a(x * (y * (z * (z * u))),w,v5) = a(x * (L(u,z,z) * y),w,v5). [para(3491(a,1),46819(a,2,1,2,2)),rewrite([14227(3),75516(5),130749(4)]),flip(a)]. 130754 a(x * (y * (y * z)),u,w) = a(x * L(z,y,y),u,w). [para(3491(a,1),46819(a,2,1,2)),rewrite([13887(5),75362(4)]),flip(a)]. 130795 L((x * y) \ 1,x * y,y) = (y * (y * x)) \ T(y,x). [para(3491(a,1),12004(a,2,1)),rewrite([25262(6)])]. 131040 a(x * (y * (z * (u * z))),w,v5) = a(x * (L(u,z,z) * y),w,v5). [para(251(a,1),130753(a,1,1,2,2,2)),rewrite([9669(4),13887(7),46732(11)])]. 131048 a((x * (y \ a(z,u,a(w,v5,v6)))) * v7,v8,v9) = a((y * x) * v7,v8,v9). [para(12981(a,1),130753(a,1,1,2,2,2)),rewrite([12670(9),5534(13),46976(11)])]. 131115 a(x * (L(y \ 1,z,u) * w),v5,v6) = a(x * (w * L(y,z,u)),v5,v6). [para(98289(a,2),130753(a,1,1,2,2,2)),rewrite([98289(4),25976(5),1816(3),149(4),24476(7),91908(8)]),flip(a)]. 131130 a(x * (L(y,z,z) * z),u,w) = a(x * L(z * y,z,z),u,w). [para(3491(a,2),130753(a,1,1,2)),rewrite([3491(5),130754(5)]),flip(a)]. 131131 a(((x \ a(y,z,a(u,w,v5))) * v6) * v7,v8,v9) = a((x * v6) * v7,v8,v9). [back_rewrite(47146),rewrite([131048(12)])]. 131132 a(x * (y * L(z \ 1,u,w)),v5,v6) = a(x * (L(z,u,w) * y),v5,v6). [back_rewrite(71581),rewrite([131115(8)])]. 131144 a(R(x,y,y) * z,u,w) = a(L(x,y,y) * z,u,w). [hyper(295,a,20152,a(flip),b,130749,a),rewrite([20152(9)])]. 131156 a(x * R(y,z,z),u,w) = a(x * L(y,z,z),u,w). [para(49(a,1),130749(a,1,1,2)),rewrite([49(6)])]. 131159 a(x * (L(R(y,z,z),u,w) * v5),v6,v7) = a(x * (L(L(y,z,z),u,w) * v5),v6,v7). [para(64(a,1),130749(a,2,1,2,1)),rewrite([63(2)])]. 131160 a(x * (R(R(y,z,z),u,w) * v5),v6,v7) = a(x * (L(R(y,u,w),z,z) * v5),v6,v7). [para(65(a,1),130749(a,1,1,2,1))]. 131184 a(R(R(x,y,y),z,u) * (L(x,y,y) * w),v5,v6) = a(L(x,y,y) * (L(R(x,z,u),y,y) * w),v5,v6). [para(63041(a,1),130749(a,1,1)),rewrite([131160(6),131144(6)]),flip(a)]. 131186 a(x * (y \ L(y,z,z)),u,w) = a(x * a(y,z,z),u,w). [para(63806(a,1),130749(a,2,1,2)),rewrite([62944(4),102153(2)]),flip(a)]. 131426 T(x,x \ T(y,z)) = T(x,T(x \ y,z)). [hyper(7088,a,111931,a,b,52958,a),rewrite([562(5),44462(5),11427(5),40230(5),96753(4),562(11),44462(11),40241(11),562(10),55865(11),610(12),96955(11),5754(8),104858(8),41154(6),104919(8),11215(9),562(8),44462(8),44678(8)])]. 131484 T(x,y / z) * K(z \ y,u) = T(x * K(z \ y,u),y / z). [para(177(a,1),52958(a,1,2)),rewrite([177(8)])]. 131501 T(x,y) * T(K(z,x) * K(y,u),y) = T(x * (K(z,x) * K(y,u)),y). [para(52958(a,1),9138(a,1,2)),rewrite([43658(6),9138(4),43683(10)]),flip(a)]. 131713 T(x * x,y) \ L(z,u,w) = L(T(x * x,y) \ z,u,w). [hyper(5083,a,81194,a,b,28584,a),rewrite([69328(9),81962(10)])]. 131730 ((x * x) \ y) * L(y \ z,u,w) = y * L(y \ ((x * x) \ z),u,w). [hyper(5083,a,28584,a,b,5,a(flip)),rewrite([28584(10),11965(6),5(8),56853(8),22473(5),11965(8)])]. 131774 (x / y) * L((x / y) \ z,u,w) = (y \ x) * L((y \ x) \ z,u,w). [para(412(a,1),28584(a,1,1)),rewrite([412(3)]),flip(a)]. 131815 x * (y * L(y \ (x \ (y * z)),u,w)) = y * (x * L(x \ z,u,w)). [para(28584(a,1),24422(a,2,2)),rewrite([60534(4),24474(6)])]. 131855 T(x,y) * L(x \ L(x,z,u),w,v5) = x * L(x \ L(T(x,y),z,u),w,v5). [para(63806(a,2),28584(a,1,2,1)),rewrite([63806(7),64035(5)])]. 131862 T(x,y) * L(L(T(x,y) \ 1,z,u),w,v5) = x * L(L(x \ 1,z,u),w,v5). [para(69874(a,1),28584(a,1,2,1)),rewrite([64035(11),69874(10)])]. 131868 T(x,y) * ((1 / T(x,y)) * z) = x * ((1 / x) * z). [para(60426(a,1),28584(a,1,2)),rewrite([25262(10),26536(9),60426(8)])]. 131942 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [back_rewrite(28562),rewrite([131774(6)])]. 132089 (x / y) * L(L((x / y) \ 1,z,u),w,v5) = (y \ x) * L(L((y \ x) \ 1,z,u),w,v5). [para(69874(a,1),131774(a,1,2,1)),rewrite([64245(13),69874(14)])]. 132189 T(x,y) * L(T(z,x),u,w) = K(x,y) * (L(z,u,w) * x). [hyper(5081,a,27440,a,b,8513,a),rewrite([27440(4),60(7)]),flip(a)]. 132214 T(x,y) * R(T(z,x),u,w) = K(x,y) * (R(z,u,w) * x). [para(61(a,1),8513(a,1,2))]. 132390 T(x,y) / T(z * z,x) = (z * z) \ T(x,y). [para(66988(a,1),8513(a,2,2)),rewrite([74048(6),38659(8)])]. 132426 L(T(x,y),z,u) * (1 / x) = T(x,y) * L(1 / x,z,u). [para(98289(a,1),8513(a,2,2)),rewrite([60(2),6174(6),66904(5),6159(7),7763(11)])]. 132430 R(x,T(y,z),T(u,y)) * (K(y,z) * (u * y)) = (x * T(y,z)) * T(u,y). [para(8513(a,1),401(a,1,2))]. 132440 x * (R(y,z,u) * a(w,v5,v6)) = x * (a(w,v5,v6) * R(y,z,u)). [para(15336(a,1),8513(a,1,1)),rewrite([24931(8),5679(7),11(6),408(6),74(9),75(9),20337(9),74(7),6332(6),553(6),48(10)]),flip(a)]. 132476 T(x,y) * (T(x,z) \ u) = K(x,y) * (K(z,x) * u). [para(105197(a,1),8513(a,1,2)),rewrite([110123(9),1039(7),2978(8)])]. 132696 K((a(x,y,z) * R(u,w,v5)) / v6,v7) = K(R(u,w,v5) / (a(x,y,z) \ v6),v7). [hyper(5083,a,132440,a,b,9005,a(flip)),rewrite([128185(12),15057(13)]),flip(a)]. 132715 ((R(x,y,z) * u) / R(x,y,z)) * (a(w,v5,v6) * R(x,y,z)) = u * (R(T(x,u),y,z) * a(w,v5,v6)). [hyper(295,a,32795,a(flip),b,132440,a),rewrite([61(2)]),flip(a)]. 133158 (((x * y) * T(x * y,z)) \ x) * (y * u) = (1 / T(x * y,z)) * L(u,y,x). [para(1599(a,2),11971(a,2,1)),rewrite([26536(8),76121(7),1599(10),57550(13)]),flip(a)]. 133281 K(x,y) * T(z,T(x,u)) = T(K(x,y) * z,T(x,u)). [para(58(a,1),109117(a,2,2)),rewrite([9460(6)]),flip(a)]. 133669 a(x * (y \ L(y,z,u)),w,v5) = a(x * (y * L(y,z,u)),w,v5). [para(6(a,2),65261(a,1,1)),rewrite([64051(4),64119(5),12650(6),12650(10)])]. 133671 a((L(x,y,z) \ L(L(x,u,w),y,z)) * v5,v6,v7) = a((L(x,y,z) * L(L(x,y,z),u,w)) * v5,v6,v7). [para(64(a,1),65261(a,1,1,1,2))]. 133723 a(x * (y * L(y,z,z)),u,w) = a(x * a(y,z,z),u,w). [back_rewrite(131186),rewrite([133669(4)])]. 133741 a(L(x,y,z) * L(L(T(x,u),y,z),w,v5),v6,v7) = a(L(x,y,z) * L(L(x,y,z),w,v5),v6,v7). [para(70215(a,2),12518(a,1,1)),rewrite([70215(8),86172(8),110461(7),110461(13)]),flip(a)]. 133779 a(L(x,L(y,z,u),u * z) * ((y * z) * u),w,v5) = a((u * z) * (L(y,z,u) * x),w,v5). [para(11786(a,2),24885(a,1,1,2)),rewrite([11786(7),47180(8)])]. 133832 a(R(x * K(y,x),z,u),w,v5) = a(R(x,z,u),w,v5). [para(189(a,1),12631(a,1,1,1)),rewrite([12631(3),12631(7)]),flip(a)]. 133833 a(R(x / y,z,u),w,v5) = a(R(y \ x,z,u),w,v5). [para(412(a,1),12631(a,1,1,1)),flip(a)]. 133839 a((x * y) \ ((x * z) * y),u,w) = a(R(z,x,y),u,w). [para(1153(a,1),12631(a,2,1)),rewrite([12631(5),133832(4),12554(7)]),flip(a)]. 133858 a(L(R(x,y,y),z,u),w,v5) = a(L(L(x,y,y),z,u),w,v5). [para(64(a,1),124219(a,2,1)),rewrite([63(2)])]. 133902 a(x * ((y \ a(z,u,a(w,v5,v6))) * v7),v8,v9) = a((y * v7) * x,v8,v9). [para(13034(a,1),130748(a,1,1,2,1,2)),rewrite([8385(10),7729(9),12670(12),7729(8),13787(9),131131(6),5534(11)]),flip(a)]. 134028 a(x * (y * (z \ a(u,w,a(v5,v6,v7)))),v8,v9) = a((z * y) * x,v8,v9). [para(12981(a,1),102431(a,1,1,2,1)),rewrite([10436(8),133902(6),7732(9),12981(8)]),flip(a)]. 134099 a(L(x,y,z) \ L(L(x,u,w),y,z),v5,v6) = a(L(x,y,z) * L(L(x,y,z),u,w),v5,v6). [para(63806(a,1),13816(a,1,1)),rewrite([64228(6),46639(13),133741(11)])]. 134100 a(x * (L(y,z,u) \ L(L(y,w,v5),z,u)),v6,v7) = a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7). [para(64035(a,2),13816(a,2,1,2)),rewrite([13816(7),133669(6),60(8),60(10),64228(12)]),flip(a)]. 134313 a(x * ((x \ y) * R(x,z,u)),w,v5) = a(R(x,z,u) * y,w,v5). [para(62761(a,1),46791(a,1,1)),flip(a)]. 134340 a(x \ R(x,y,z),u,w) = a(x * R(x,y,z),u,w). [para(11009(a,2),46639(a,2,1)),rewrite([62944(4),11009(5)])]. 134371 a(x * R(y * K(z,y),u,w),v5,v6) = a(x * R(y,u,w),v5,v6). [para(189(a,1),12586(a,1,1,2,1)),rewrite([12586(4),12586(9)]),flip(a)]. 134372 a(x * R(y / z,u,w),v5,v6) = a(x * R(z \ y,u,w),v5,v6). [para(412(a,1),12586(a,1,1,2,1)),flip(a)]. 134384 a(x * ((y * z) \ ((y * u) * z)),w,v5) = a(x * R(u,y,z),w,v5). [para(1153(a,1),12586(a,2,1,2)),rewrite([12586(6),134371(5),12592(9)]),flip(a)]. 134432 a(L(x \ y,x,y \ ((z \ 1) \ u)) \ (z \ u),w,v5) = a((y \ ((z \ 1) \ u)) * x,w,v5). [para(77147(a,1),96575(a,1,1)),rewrite([12463(8),12534(6)]),flip(a)]. 134484 a(x \ (T(y,z) * u),w,v5) = a(x \ (y * u),w,v5). [para(52208(a,1),96331(a,1,1,2,1)),rewrite([96326(7),96331(5)]),flip(a)]. 134524 a(x \ (y * z),u,w) = a(x \ (z * y),u,w). [para(10800(a,1),18893(a,1,1,2)),rewrite([96449(5),96449(7)])]. 134529 a(x \ (y \ (z / u)),w,v5) = a(x \ (y \ (u \ z)),w,v5). [para(95823(a,1),18893(a,1,1,2)),rewrite([96449(6),96584(9)])]. 134571 a(L(x,x,y \ (z / u)) \ (y \ (u \ z)),w,v5) = a((y \ (z / u)) * x,w,v5). [para(59166(a,1),134529(a,1,1)),rewrite([12463(7),70583(13)]),flip(a)]. 134659 a(x,L(y \ T(z,u),w,v5),v6) = a(x,L(y \ z,w,v5),v6). [para(96903(a,1),14785(a,1,2,1)),rewrite([26472(5)]),flip(a)]. 134664 a(x,L(T(y * z,z \ 1) \ y,u,w),v5) = a(x,L((z * y) \ y,u,w),v5). [back_rewrite(113338),rewrite([134659(8)])]. 134854 (x \ 1) * (((x \ 1) \ y) * z) = x * ((x \ y) * z). [hyper(5081,a,31945,a,b,7596,a),rewrite([48663(8),68984(13),46613(11),7596(11)])]. 134873 (x \ 1) * (y * a(a(z,u,w),v5,v6)) = (x \ a(a(z,u,w),v5,v6)) * y. [hyper(5083,a,112586,a(flip),b,7596,a(flip)),rewrite([50910(6),85130(4),86937(4),28098(5)])]. 134877 a(x,x \ (y \ z),y) \ z = x * ((x \ (z / y)) * y). [para(53(a,1),7596(a,1,2)),rewrite([97123(3)])]. 134992 a(x,x,L(y,z,u)) \ L((w * w) * y,z,u) = L(L((w * w) * y,z,u),x,x). [para(25954(a,1),7596(a,1,2)),rewrite([66369(4),62168(11),25954(9)])]. 135030 (x * K(y,z)) / (u \ x) = K(y,T(z,x)) * u. [para(7596(a,2),41133(a,1,1)),rewrite([10(3),41109(4),324(2),27834(7),26881(8)])]. 135249 L(L((x * x) * y,z,u),x,x) = L(x * (x * y),z,u). [back_rewrite(25980),rewrite([134992(6)])]. 135362 x \ (((x \ 1) \ y) * ((x \ 1) \ y)) = x * ((x \ y) * ((x \ 1) \ y)). [hyper(295,a,62166,a(flip),b,134854,a)]. 135397 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(5083,a,11786,a(flip),b,134854,a(flip)),rewrite([26414(6),68875(4),51(8),51(11)])]. 135430 x * ((x \ y) * L(((x \ 1) \ y) \ z,u,w)) = y * L(y \ ((x \ 1) * z),u,w). [para(207(a,2),134854(a,1,2)),rewrite([207(11),60866(12)]),flip(a)]. 135475 (x \ 1) * (L(x \ 1,y,z) * ((x \ 1) \ u)) = L(x \ 1,y,z) * u. [para(18710(a,1),134854(a,1,2)),rewrite([135430(18),58(14),2195(15)])]. 135559 (1 / x) * (L(x,y,z) * u) = x * (L(x \ 1,y,z) * u). [para(69874(a,1),134854(a,2,2,1)),rewrite([63788(7),33470(8)])]. 135623 (x * (L(x \ 1,y,z) * u)) / T(x \ L(x,y,z),u) = L(u,L(x,y,z),x). [back_rewrite(71840),rewrite([135559(5)])]. 135624 ((x \ L(x,y,z)) * u) / (x * (L(x \ 1,y,z) * u)) = a(x,L(x,y,z),u). [back_rewrite(71835),rewrite([135559(8)])]. 135627 (x \ L(x,y,z)) \ (x * (L(x \ 1,y,z) * u)) = L(u,L(x,y,z),x). [back_rewrite(71795),rewrite([135559(7)])]. 135661 a(x * y,y * x,z) \ z = L(z,x * y,x * y). [hyper(5081,a,83104,a(flip),b,85130,a),rewrite([25716(5),50788(10),46633(8)]),flip(a)]. 135695 (x * L(y,z,z)) * a(z,z,y) = a(z,z,y) * (x * L(y,z,z)). [para(85130(a,1),19228(a,1,1,2)),rewrite([85130(7)])]. 135699 a(a(x,y,z),a(x,y,z),u) \ (w \ u) = w \ L(u,a(x,y,z),a(x,y,z)). [para(85130(a,1),28887(a,2,2))]. 135718 T(x,y \ (a(z,z,y) * u)) = T(x,L(y,z,z) \ u). [para(85130(a,1),60848(a,1,2,1)),flip(a)]. 135793 L(x,y \ (z \ 1),y \ (z \ 1)) = a(y \ z,y \ (z \ 1),x) \ x. [para(96371(a,1),85130(a,1,1)),flip(a)]. 135845 a(x,y \ R(y,z,u),w) = a(x,y * R(y,z,u),w). [para(11009(a,1),50787(a,2,2)),rewrite([62944(4)])]. 135870 a(x,y \ a(a(z,u,w),v5,v6),v7) = a(x,y,v7). [para(112586(a,2),50787(a,1,2)),rewrite([49(4),22309(8)])]. 135910 a(x,L(y,z,u) \ L(L(y,w,v5),z,u),v6) = a(x,L(y,z,u) * L(L(y,z,u),w,v5),v6). [para(64(a,1),64099(a,1,2,2))]. 135952 a(x,y,z * ((u \ 1) * w)) = a(x,y,(u * w) * z). [para(251(a,1),73040(a,1,3)),rewrite([562(9),91922(8),44462(7),13983(8),92045(11),77977(11)])]. 135960 a(x,y,((z \ a(u,w,a(v5,v6,v7))) * v8) * v9) = a(x,y,(z * v8) * v9). [para(7735(a,2),73040(a,1,3,1)),rewrite([7735(6),69927(6),8319(11),19508(12)])]. 135962 a(x,y,(z * (K(u,w) * v5)) * v6) = a(x,y,(z * v5) * v6). [para(7725(a,1),73040(a,2,3,1)),rewrite([12023(4),7724(5),7724(6),13929(7),73040(5)]),flip(a)]. 135969 a(x,y,((z * u) * z) * w) = a(x,y,(z * (u * z)) * w). [para(14227(a,1),73040(a,2,3,1)),rewrite([73005(7),73789(6)]),flip(a)]. 135974 a(x,y,(L(T(z,u),w,v5) \ v6) * v7) = a(x,y,(L(z,w,v5) \ v6) * v7). [para(19895(a,1),73040(a,2,3,1)),rewrite([31850(7),72880(7),13988(11)])]. 135995 a(x,y,((T(z,u) * w) * v5) * v6) = a(x,y,((z * w) * v5) * v6). [para(8630(a,1),73040(a,2,3,1)),rewrite([5754(3),49(3),7724(5),13929(6)]),flip(a)]. 136013 a(x,y,(z \ L(z,u,w)) * v5) = a(x,y,(z * L(z,u,w)) * v5). [para(70237(a,1),73040(a,2,3,1)),rewrite([340(4)]),flip(a)]. 136014 a(x,y,((z * (u \ 1)) * w) * v5) = a(x,y,(w * (z * u)) * v5). [para(72702(a,1),73040(a,2,3,1)),rewrite([72984(8),73789(6)]),flip(a)]. 136048 a(x,y,(z * (z * u)) * w) = a(x,y,L(u,z,z) * w). [para(120583(a,1),73040(a,2,3,1)),rewrite([31934(4),7725(4),135962(6),27440(8),13929(9)])]. 136061 a(x,y,(z * (u * z)) * u) = a(x,y,a(z * u,z,u)). [back_rewrite(72750),rewrite([135969(4)])]. 136103 a(x,y,z * (u * (w \ 1))) = a(x,y,(u * w) * z). [para(251(a,1),135952(a,1,3,2)),rewrite([562(7),44462(7),48(5),562(5),77977(7),73005(12)])]. 136113 a(x,y,z * ((u \ a(w,v5,a(v6,v7,v8))) * v9)) = a(x,y,(u * v9) * z). [para(7735(a,2),135952(a,1,3,2)),rewrite([7735(6),69927(6),8319(11),19508(12)])]. 136121 a(x,y,z * ((u \ K(w,v5)) * v6)) = a(x,y,(u * v6) * z). [para(7724(a,1),135952(a,2,3,1)),rewrite([11961(4),49(3),7724(9),13929(10)])]. 136123 a(x,y,z * (u \ K(w,v5))) = a(x,y,u * z). [para(7725(a,1),135952(a,2,3)),rewrite([31850(4),13993(8)])]. 136127 a(x,y,z * (T(u,w) * v5)) = a(x,y,(u * v5) * z). [para(9138(a,1),135952(a,2,3,1)),rewrite([5754(3),49(3),7763(3),11135(8),13929(9)])]. 136128 a(x,y,(z * u) * z) = a(x,y,L(u,z,z)). [para(13288(a,1),135952(a,1,3)),rewrite([72879(5),77977(8)]),flip(a)]. 136137 a(x,y,(z * u) * w) = a(x,y,w * (u * z)). [para(11786(a,1),135952(a,1,3)),rewrite([28083(3),136103(6),380(3),123794(7),73005(8)]),flip(a)]. 136209 a(x,y,z * (T(u,w) \ v5)) = a(x,y,(u \ v5) * z). [para(108977(a,2),135952(a,2,3,1)),rewrite([5754(3),49(3),13993(6),108977(9),7724(9),13929(10),47593(8)])]. 136315 a(x,y,z * ((u \ w) * u)) = a(x,y,w * z). [para(51(a,1),136137(a,1,3,1)),flip(a)]. 136332 a(x,y,z * (u * (T(u,w) * v5))) = a(x,y,L(v5,u,u) * z). [para(241(a,1),136137(a,2,3,2)),rewrite([73005(5),136048(4)]),flip(a)]. 136334 a(x,y,(z * (u * z)) * w) = a(x,y,L(u,z,z) * w). [para(241(a,2),136137(a,2,3,2)),rewrite([135995(5),135969(4),241(7),136332(9)])]. 136352 a(x,y,z * (u * (a(w,v5,a(v6,v7,v8)) * v9))) = a(x,y,(v9 * u) * z). [para(7735(a,2),136137(a,1,3,1)),rewrite([7735(4),8319(5),19508(6),7732(7)]),flip(a)]. 136357 a(x,y,z * (u * T(w,v5))) = a(x,y,(w * u) * z). [para(7763(a,2),136137(a,1,3,1)),rewrite([7763(3),46306(4)]),flip(a)]. 136415 a(x,y,L(z,u,w) * (w * u)) = a(x,y,(z * u) * w). [para(11786(a,1),136137(a,2,3)),rewrite([46306(5)]),flip(a)]. 136445 a(x,y,L(z,u,w) * (u * w)) = a(x,y,w * (u * z)). [para(380(a,1),136137(a,1,3)),flip(a)]. 136487 a(x,y,(z * (u \ K(w,v5))) * v6) = a(x,y,(u * z) * v6). [para(31945(a,2),136137(a,2,3,2)),rewrite([31945(10),136121(10)])]. 136497 a(x,y,(z / u) * w) = a(x,y,(u \ z) * w). [para(42661(a,1),136137(a,2,3,2)),rewrite([7724(4),13929(5),77732(7),136209(7)])]. 136576 a(x,y,z * (L(T(u,w),v5,v6) * v7)) = a(x,y,(v7 * L(u,v5,v6)) * z). [para(18820(a,1),136137(a,2,3,2)),rewrite([7724(4),7724(5),13929(6)]),flip(a)]. 136579 a(x,y,(z * L(T(u,w),v5,v6)) * v7) = a(x,y,(z * L(u,v5,v6)) * v7). [para(18820(a,2),136137(a,2,3,2)),rewrite([18820(9),136576(10)])]. 136599 a(x,y,z * (u \ L(T(w,v5),v6,v7))) = a(x,y,(u \ L(w,v6,v7)) * z). [para(96747(a,1),136137(a,2,3,2)),rewrite([7724(5),13929(6)]),flip(a)]. 136645 a(x,y,z * L(z,u,u)) = a(x,y,a(u * z,u,z)). [back_rewrite(136061),rewrite([136334(4),13654(2)])]. 136689 a(x,y,R(z * K(u,z),w,v5)) = a(x,y,R(z,w,v5)). [para(189(a,1),14987(a,1,3,1)),rewrite([14987(3),14987(7)]),flip(a)]. 136693 a(x,y,R(K(z,u) * w,v5,v6)) = a(x,y,R(w * K(z,u),v5,v6)). [para(10078(a,1),14987(a,1,3,1)),flip(a)]. 136697 a(x,y,(z * u) \ ((z * w) * u)) = a(x,y,R(w,z,u)). [para(1153(a,1),14987(a,2,3)),rewrite([14987(5),136689(4),14988(7)]),flip(a)]. 136701 a(x,y,R(K(z,u) * (w \ z),v5,v6)) = a(x,y,R(w \ T(z,u),v5,v6)). [para(96903(a,1),14987(a,1,3,1))]. 137067 ((x * y) * (x * (a(z,u,a(w,v5,v6)) \ y))) * (1 / (x * (a(z,u,a(w,v5,v6)) \ y))) = x * y. [para(23177(a,2),9304(a,1,2)),rewrite([19397(11),19453(10),19335(19)])]. 137105 a(x,y,L(L(z / u,w,v5),u,u)) = a(x,y,L(u * z,w,v5)). [para(207(a,1),75452(a,1,3,2)),rewrite([25976(4),51(2)]),flip(a)]. 137200 a(x,y,z * R(u,w,u)) = a(x,y,z * u). [para(1735(a,1),77977(a,1,3,2)),rewrite([17740(8)])]. 137207 a(x,y,L(1 / z,u,w)) = a(x,y,L(z \ 1,u,w)). [para(69874(a,1),14988(a,2,3)),rewrite([98240(3)])]. 137211 a(x,y,(z * u) \ u) = a(x,y,(u * z) \ u). [para(112109(a,1),14988(a,1,3)),rewrite([96925(10),13992(9)])]. 137219 a(x,y,L(z,u,w) \ L(L(z,v5,v6),u,w)) = a(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)). [para(64(a,1),72892(a,1,3,2))]. 137627 x * (y * K(y \ x,x \ y)) = ((x * y) \ 1) \ 1. [hyper(7088,a,181,a,b,1816,a),rewrite([3334(5),411(5),34890(14),123511(14),91579(13),23112(12),7726(10)]),flip(a)]. 137650 K(x,y / (y * x)) = K(x,x \ 1). [hyper(5081,a,11749,a(flip),b,1816,a),rewrite([51007(6),49641(4),1816(10),60980(10),340(5),49(6),5649(6)]),flip(a)]. 137736 x * ((1 / x) * T(x \ ((x \ 1) \ y),z)) = T(y,z). [para(1816(a,1),255(a,1,1)),rewrite([1816(6),5754(7),64714(6),108916(9),81391(7)]),flip(a)]. 137750 T(x,L(x,y,z) \ 1) = T(x,x \ 1). [para(1816(a,1),13622(a,2,2)),rewrite([118314(4),53(9),49(6),6159(9),6329(8),149(8)])]. 137993 K(x,y) * (T(T(T(x,y),z),z) \ u) = T(T(x,z),z) \ u. [hyper(5083,a,118801,a,b,7753,a),rewrite([118801(6),64867(6),50(5)]),flip(a)]. 138006 x \ ((T(x,y) \ 1) * z) = (x * T(x,y)) \ z. [hyper(5083,a,69321,a(flip),b,7753,a),rewrite([41657(9),67990(11)])]. 138031 T(x,y) * (T(x,y) * z) = x * (T(T(x,y),y) * z). [hyper(5081,a,3491,a,b,7753,a),rewrite([3491(5),8597(8)])]. 138125 x \ (R(T(x,y),z,u) * w) = R(T(x,y),z,u) * (x \ w). [hyper(5083,a,7753,a(flip),b,62761,a),rewrite([61(2),6332(7),43819(8),63708(9)])]. 138154 R(x,y,K(y,z) * u) = R(x,T(y,z),u). [para(7753(a,1),57(a,1,2)),rewrite([10133(4),57(6)]),flip(a)]. 138248 T(x,y) * ((z / x) \ u) = x * ((z / T(x,y)) \ u). [para(43188(a,1),7753(a,1,2)),flip(a)]. 139102 T(T(T(x,y),z),z) \ L(T(T(x,z),z),u,w) = T(x,y) \ L(x,u,w). [hyper(5083,a,70237,a,b,137993,a),rewrite([70237(9),64035(7),64035(5),5754(4),9113(4)]),flip(a)]. 139548 R(x,y,K(z,T(u,y)) * w) = R(x,K(z,u) * y,w). [para(13186(a,1),57(a,1,2)),rewrite([38566(5),9526(8)]),flip(a)]. 139555 K(x * (K(y,z) * T(u,x)),w) = K(u * (K(y,z) * x),w). [para(13186(a,1),181(a,1,1)),rewrite([2921(7),9756(7),9538(5),7724(8),38487(8)]),flip(a)]. 139949 (x * L(y,z,u)) / T(x,w) = L((x * y) / T(x,w),z,u). [hyper(295,a,49057,a,b,42869,a),rewrite([5537(5),27444(7),26458(8),8487(7),42869(4)]),flip(a)]. 140106 x * (K(y,z) * K(z,x)) = (z * x) / T(z,y). [para(76(a,1),42869(a,1,2))]. 140156 T(x,(y * z) / T(y,u)) = T(x,T(K(u,y) * z,y)). [para(42869(a,1),262(a,1,2,1)),rewrite([9827(8),610(6),7725(8),54358(9),104858(7)])]. 140172 x * (K(y,x) * (K(z,y) * u)) = ((y * x) / T(y,z)) * u. [para(42869(a,1),7687(a,2,1)),rewrite([13972(4),9(2),7725(5),48(7)])]. 140345 K(x,y) * ((x * z) / T(x,u)) = (T(x,y) * z) / T(x,u). [para(37822(a,1),42869(a,1,2,1)),rewrite([10125(6),140106(5),7753(8)])]. 140421 ((x * y) / T(x,z)) \ y = K(x,z) * K(y,x). [para(42869(a,1),12004(a,2,1)),rewrite([12023(5),5754(4),49(4),26505(7),5538(5)]),flip(a)]. 140480 (L(T(x,y),z,u) * w) / L(T(x,v5),z,u) = (T(x,y) * w) / T(x,v5). [para(18820(a,1),42869(a,2,1)),rewrite([6159(6),37822(5),5537(5),10125(6),140106(5),140345(5),60(9)]),flip(a)]. 142073 T(x * x,y / z) \ z = (y / z) \ ((x * x) \ y). [hyper(5083,a,95533,a,b,32685,a),rewrite([388(6)]),flip(a)]. 142140 x * L(T(y * y,x) \ z,u,w) = ((y * y) \ x) * L(z,u,w). [hyper(5081,a,13542,a,b,32685,a),rewrite([6385(3),49734(8),131713(8)]),flip(a)]. 142144 ((x * x) \ a(y,z,u)) * w = a(y,z,u) * ((x * x) \ w). [hyper(5081,a,1143,a,b,32685,a),rewrite([73869(8),410(9)]),flip(a)]. 142294 ((x * y) * (T(z * z,y) \ u)) / (((z * z) \ y) * u) = R(x,y,T(z * z,y) \ u). [para(32685(a,1),57(a,1,2))]. 142326 (x * y) * (T(z * z,y) \ u) = (x * ((z * z) \ y)) * u. [para(32685(a,1),7687(a,1,2,2)),rewrite([13992(4),72569(3),22955(6)]),flip(a)]. 142595 R(x,y,T(z * z,y) \ u) = R(x,(z * z) \ y,u). [back_rewrite(142294),rewrite([142326(5),57(8)]),flip(a)]. 142808 T(x,y) * (a(z,u,w) * K(x,v5)) = K(x,y) * (T(x,v5) * a(z,u,w)). [hyper(5083,a,15334,a(flip),b,8487,a),rewrite([5754(5)]),flip(a)]. 142818 K(x,T(y,z) * a(u,w,v5)) = K(x,T(a(u,w,v5) * y,z)). [hyper(5083,a,15334,a(flip),b,40278,a(flip)),rewrite([2598(5),24947(7),109481(8),323(3),48(6),73(11),75(11),20618(11),74(9),45298(10),9138(8),9240(9)]),flip(a)]. 142837 K(x,a(y,z,u) * T(w,v5)) = K(x,T(a(y,z,u) * w,v5)). [para(15334(a,2),229(a,2,2)),rewrite([547(3),15334(8),142818(8)])]. 142924 (a(x,y,z) * T(u,w)) \ T(u,w) = (u * a(x,y,z)) \ u. [para(15334(a,2),57973(a,1,1)),rewrite([15334(4),561(6),52406(5)]),flip(a)]. 142990 T(x,y) * (a(z,u,w) * T(x,y)) = x * (T(T(x,y),y) * a(z,u,w)). [para(15334(a,2),3491(a,2,2)),rewrite([561(3),15334(10),138031(10)])]. 143007 K(x,K(y,z * (u * w)) * ((z * u) * w)) = K(x,T((z * u) * w,y)). [back_rewrite(54396),rewrite([142837(13),7687(11)])]. 143055 (((x \ (y / z)) * x) * z) / (x * (K(x \ (y / z),x) * z)) = y / (x * z). [hyper(5142,a,165,a(flip),b,13263,a),rewrite([255(5),21573(5),96223(7)])]. 143267 (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). [hyper(5083,a,13263,a(flip),b,24258,a),rewrite([196(3),9213(5),959(6)])]. 143704 (x * (y * z)) / T(y * x,z) = L(K(x,y) * z,y,x). [back_rewrite(113705),rewrite([143267(9)])]. 143824 (a(x,y,z) * u) \ (u * (w * a(x,y,z))) = L(w,a(x,y,z),u). [para(1143(a,1),143267(a,1,2,2)),rewrite([70(8),48(8)])]. 143825 (x * y) \ (y * (a(z,u,w) * x)) = L(K(y,x) * a(z,u,w),x,y). [para(1143(a,2),143267(a,1,2,2))]. 143918 (x * y) \ (y * (T(x,y * y) * z)) = L(K(y \ 1,x) * z,x,y). [para(50481(a,1),143267(a,1,1)),rewrite([26221(10),23236(9),2739(11),5548(9),26402(15),26414(15),26536(13)])]. 143985 L(x,(y * z) * y,u) = L(x,L(z,y,y),u). [para(143267(a,1),28106(a,1,2)),rewrite([39996(3),6775(2),27481(6),28420(3),25754(6)])]. 144095 K(x * a(y,z,y),u) = K(x,u). [back_rewrite(30091),rewrite([143825(6),29938(5),58(5),561(3)]),flip(a)]. 144118 (x * (a(y,z,y) * u)) * w = (x * u) * (a(y,z,y) * w). [back_rewrite(29988),rewrite([144095(3),7452(6)]),flip(a)]. 144139 (x * (a(y,z,y) * (u * w))) \ ((x * u) * (a(y,z,y) * w)) = a(x,a(y,z,y) * u,w). [back_rewrite(89242),rewrite([144118(8)])]. 144182 (1 / x) * (y * L(y \ x,z,u)) = (x * y) \ L(x * y,z,u). [hyper(5081,a,26378,a,b,70526,a),rewrite([25954(7),23236(6),340(10)]),flip(a)]. 144187 ((x \ 1) * y) \ L((x \ 1) * y,z,u) = (x * y) \ L(x * y,z,u). [hyper(295,a,69321,a,b,70526,a),rewrite([22473(9),131730(9),66364(6),50(2),70526(6)]),flip(a)]. 144203 (x * (K(y,z) * u)) \ L(x * (K(y,z) * u),w,v5) = (x * u) \ L(x * u,w,v5). [hyper(295,a,7725,a(flip),b,70526,a),rewrite([12023(5),53507(9),70526(6),7725(7),7725(10)]),flip(a)]. 144206 (x * L(x \ (a(y,z,u) \ 1),w,v5)) * a(y,z,u) = (a(y,z,u) * x) \ L(a(y,z,u) * x,w,v5). [hyper(295,a,1143,a(flip),b,70526,a)]. 144353 (a(x,y,z) \ 1) * (u * L(u \ a(x,y,z),w,v5)) = (a(x,y,z) * u) \ L(a(x,y,z) * u,w,v5). [para(6743(a,1),70526(a,1,2,2,1,2)),rewrite([144187(18)])]. 144358 (x * T(y,z)) \ L(x * T(y,z),u,w) = (x * y) \ L(x * y,u,w). [para(7763(a,2),70526(a,1,2)),rewrite([7763(8),28584(7),70526(6)]),flip(a)]. 144387 T(x * K(y,z),u * L(u \ K(z,y),w,v5)) = K(y,z) * T(x,u \ L(u,w,v5)). [para(70526(a,1),10268(a,1,2,2)),rewrite([5754(3),49(3),11961(10),26458(9),5784(8),70409(8),58(7),5754(10),49(10)]),flip(a)]. 144388 (x * (y \ 1)) \ L(x * (y \ 1),z,u) = (x * y) \ L(x * y,z,u). [para(2467(a,2),70526(a,2,1)),rewrite([70217(11),70526(8),64022(6),2467(10),64022(14)]),flip(a)]. 144404 L(x,y,L(z * L(z \ K(u,w),v5,v6),v7,v8)) = L(x,y,L(z \ L(z,v5,v6),v7,v8)). [para(70526(a,1),28010(a,1,3,1)),rewrite([11961(6),26458(5),5784(4),5754(7),49(7)]),flip(a)]. 144410 (x * (y \ K(z,u))) \ L(x * (y \ K(z,u)),w,v5) = (x * y) \ L(x * y,w,v5). [para(31945(a,2),70526(a,1,2)),rewrite([26458(10),31952(9),70217(9),70526(6)]),flip(a)]. 144437 ((x / y) \ z) \ L((x / y) \ z,u,w) = ((y \ x) \ z) \ L((y \ x) \ z,u,w). [para(42098(a,1),70526(a,2,1)),rewrite([5754(11),42355(11),26458(10),48096(9),409(4),412(4),69933(8),64245(6),42098(13),64245(12)]),flip(a)]. 144467 L(x,y,y) \ L(L(x,y,y),z,u) = L(x \ L(x,z,u),y,y). [para(12004(a,2),70526(a,1,2,2,1)),rewrite([26414(8),27387(8),69933(6),61613(6),61613(7),61613(8)]),flip(a)]. 144475 (x \ L(x,y,z)) \ L(x \ L(x,y,z),u,w) = (x * L(x,y,z)) \ L(x * L(x,y,z),u,w). [para(63806(a,1),70526(a,2,1)),rewrite([70217(11),70526(8),13654(2),13654(4),63806(12)]),flip(a)]. 144521 K(x,y) * T(z,u \ L(u,w,v5)) = T(K(x,y) * z,u \ L(u,w,v5)). [para(70526(a,1),30365(a,1,2)),rewrite([11961(8),26458(7),5784(6),5754(10),49(10),144387(12)]),flip(a)]. 144546 (x * (y / z)) \ L(x * (y / z),u,w) = (x * (z \ y)) \ L(x * (z \ y),u,w). [para(131774(a,1),70526(a,1,2)),rewrite([70526(8)]),flip(a)]. 144621 a(L(x * (y / z),u,w),v5,v6) = a(L(x * (z \ y),u,w),v5,v6). [para(144546(a,1),12556(a,1,1,1)),rewrite([47335(10),12556(10)]),flip(a)]. 144749 (x \ y) \ T((x \ y) * x,z) = K(y,z) * x. [hyper(5083,a,2412,a,b,96799,a),rewrite([95766(5),80379(6),2412(4)])]. 144777 x * K(K(y,z) * (u \ x),u * K(z,y)) = T((u \ x) * u,K(z,y)). [hyper(5081,a,7726,a,b,2412,a),rewrite([12023(3),7724(4),7726(6),7726(5),9533(6),562(4),12023(7)]),flip(a)]. 144790 L(x * K(y \ L(x,z,u),y),z,u) = (y \ L(x,z,u)) * y. [hyper(295,a,49057,a,b,2412,a),rewrite([26653(7),26458(8),8487(7)])]. 144806 x / T(y,y \ (y \ x)) = (y \ (x / y)) * y. [hyper(295,a,42661,a(flip),b,2412,a),rewrite([101333(3)])]. 144952 T((x \ (y / x)) * x,x) = (x \ (x \ y)) * x. [hyper(5081,a,104859,a(flip),b,2412,a(flip)),rewrite([144806(4)])]. 144988 K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z. [para(2412(a,1),11892(a,2,1)),rewrite([5754(4),5538(7)])]. 145018 (x * ((y \ z) * y)) / T(x * z,K(y,z)) = K(y \ z,y). [para(2412(a,1),7336(a,1,1,2)),rewrite([562(7),44462(7),36595(6),50954(7),5678(10)])]. 145056 x * K(y \ ((z * u) * x),u \ (z \ y)) = (((z * u) \ y) \ x) * ((z * u) \ y). [para(12016(a,1),2412(a,1,2)),rewrite([60842(6)])]. 145057 x * K(y \ (z * (u * x)),u \ (z \ y)) = ((u \ (z \ y)) \ x) * (u \ (z \ y)). [para(12016(a,2),2412(a,1,2)),rewrite([12016(6),60842(6),60842(6)])]. 145115 ((x \ y) * x) \ (x \ y) = L(x \ 1,x,x \ y). [para(2412(a,2),12004(a,2,1)),rewrite([2412(7)]),flip(a)]. 145121 ((x \ y) * x) \ (z * y) = T(K(x,x \ y) * z,y). [para(2412(a,1),11972(a,2,1)),rewrite([5754(4),17515(4),5538(7)]),flip(a)]. 145123 ((x \ y) * x) \ (y * z) = K(x,x \ y) * z. [para(2412(a,1),382(a,2,1)),rewrite([5754(3),5538(6)]),flip(a)]. 145139 L(x \ 1,y,z) * x = x * L(1 / x,y,z). [para(69874(a,1),2412(a,1,2,1)),rewrite([6159(6),64714(5),64920(6),98312(5),69874(7)]),flip(a)]. 145168 L(x,y,z * (u * ((w \ v5) * w))) = L(x,y,z * (u * v5)). [para(2412(a,1),85452(a,1,3,2,2))]. 145169 L(x,y,z * ((u \ w) * u)) = L(x,y,z * w). [para(2412(a,2),85452(a,1,3,2)),rewrite([12023(3),144777(7),83724(6),12023(7),7724(8),145168(10),83105(8)])]. 145188 (x \ y) * K(z \ y,z) = x \ ((z \ y) * z). [para(2412(a,1),95099(a,1,2)),rewrite([5826(4)]),flip(a)]. 145299 K(x,x \ y) * ((a(a(z,u,w),v5,v6) * y) / ((a(a(z,u,w),v5,v6) * y) / x)) = x. [back_rewrite(117286),rewrite([145123(12)])]. 145405 R(x,x \ (y \ z),y) \ z = (x \ (y \ z)) * T(y,y \ z). [hyper(5142,a,95099,a(flip),b,145188,a),rewrite([9510(6),7726(6),149(5)]),flip(a)]. 145415 L(x,y \ (x \ z),y) * (x \ z) = y * ((y \ (z / x)) * x). [hyper(5142,a,7596,a(flip),b,145188,a),rewrite([9510(7),7726(7),7726(6),149(5),17880(6),134877(9)])]. 145545 K(K(x,x \ y) * (z \ y),u) = K(z \ ((x \ y) * x),u). [para(145188(a,1),249(a,2,1))]. 145649 K(x,T(y \ ((z \ u) * z),u)) = K(x,((z \ u) * z) / y). [para(145188(a,2),34821(a,1,2,1)),rewrite([145188(4),4809(6),2717(6)])]. 145694 (x \ ((y \ z) * y)) \ ((x \ z) * u) = K(y,y \ z) * u. [para(145188(a,1),382(a,2,1)),rewrite([5754(3),5538(7)]),flip(a)]. 145891 L(T(x \ y,(y / x) \ z),u,w) = L(T(x \ y,y \ (x * z)),u,w). [hyper(7088,a,145694,a,b,18792,a(flip)),rewrite([125629(6),60(5),145694(19),18792(16),49089(14),104874(14),26458(10),1205(9),409(7),412(7),60848(10),60(10)])]. 145936 T(K(x,x \ y) * z,K(x,y)) = z * K(x,x \ y). [hyper(5081,a,203,a,b,145694,a),rewrite([2598(3),2729(4),9510(13),7726(13),5739(13),44462(10),36595(9),50954(10),145694(11),9602(8)]),flip(a)]. 145965 (x \ (y * z)) \ ((x \ (z * y)) * u) = K(z,y) * u. [para(50(a,1),145694(a,1,1,2,1)),rewrite([50(8)])]. 145966 x \ (((x \ y) \ y) * z) = K(x,x \ y) * z. [para(50(a,1),145694(a,1,1))]. 146345 (x \ (y * z)) \ T(x \ (z * y),u) = K(z,y) * K(x \ (z * y),u). [para(149(a,1),145965(a,1,2))]. 147039 K(x \ (y / z),u) * z = z * K(z \ (x \ y),u). [para(177(a,1),39396(a,1,2)),rewrite([6385(3),96205(8)]),flip(a)]. 147061 K(x,T((y * z) * u,y)) * z = z * K(x,u * (y * z)). [para(7197(a,1),39396(a,1,2)),flip(a)]. 147206 (((x \ (y / z)) * x) * z) / (x * (z * K(z \ (x \ y),x))) = y / (x * z). [back_rewrite(143055),rewrite([147039(8)])]. 147411 L(x,y,z) / T(u * u,w) = L(x / T(u * u,w),y,z). [hyper(295,a,67217,a(flip),b,2195,a),rewrite([126679(7),131713(8),126735(7),408(2),74048(10)]),flip(a)]. 147511 ((x * y) * L(T(z,y),u,w)) / (L(z,u,w) * y) = R(x,y,L(T(z,y),u,w)). [para(2195(a,1),57(a,1,2))]. 147512 x * L(L(T(y,x),z,u),w,v5) = L(L(y,z,u),w,v5) * x. [para(60(a,1),2195(a,1,2,1))]. 147532 T(x,L(T(y,z),u,w) \ (z \ v5)) = T(x,z \ (L(y,u,w) \ v5)). [para(2195(a,1),12024(a,1,2,1)),rewrite([12024(4)]),flip(a)]. 147563 ((x * x) \ y) * L(T(z,y),u,w) = L((x * x) \ z,u,w) * y. [para(2195(a,1),22473(a,1,2)),rewrite([22473(4),25944(3)]),flip(a)]. 147577 (x * L(y,z,u)) \ (T(x,y) * w) = (L(y,z,u) * x) \ (x * w). [para(2195(a,1),21093(a,1,2,1)),rewrite([112157(7),112107(7),27485(10),60569(9)]),flip(a)]. 147587 K(x,L(T(y,z),u,w) \ (z \ v5)) = K(x,z \ (L(y,u,w) \ v5)). [para(2195(a,1),12016(a,1,2,1)),rewrite([12016(4)]),flip(a)]. 147621 x * ((1 / x) * (y * (x \ 1))) = L(y,x,x) * (x \ 1). [para(61614(a,1),2195(a,1,2)),rewrite([66975(7)])]. 147669 K(L(x,y,z) * u,w * K(x,u)) = K(L(x,y,z) * u,w). [para(2195(a,1),111106(a,1,1)),rewrite([6159(5),1039(4),409(3),2195(8)])]. 148125 T(x,y) * L(L(T(z,x),u,w),v5,v6) = K(x,y) * (L(L(z,u,w),v5,v6) * x). [hyper(5083,a,147512,a(flip),b,8487,a),rewrite([5754(5)]),flip(a)]. 148178 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). [para(409(a,1),147512(a,1,2,1,1)),flip(a)]. 148208 L(L(x * K(y,z),u,w),v5,v6) \ v7 = K(z,y) * (L(L(x,u,w),v5,v6) \ v7). [para(147512(a,2),12023(a,1,1)),rewrite([147512(6),26653(4),26653(3)])]. 148363 L(L(x \ 1,y,z),u,w) * x = x * L(L(1 / x,y,z),u,w). [para(66904(a,1),147512(a,1,2,1,1)),flip(a)]. 148418 L(L(x,y,z),u,w) * T(v5,K(x,v6)) = T(L(L(x,y,z),u,w) * v5,K(x,v6)). [para(147512(a,1),8214(a,2,1)),rewrite([6159(4),6159(3),1039(2),1391(3),148125(6),35487(6),6159(12),6159(11),1039(10),1391(11)])]. 148719 L((x \ 1) \ 1,y,z) * x = x * L((x \ 1) \ 1,y,z). [para(70516(a,1),148178(a,1,1)),rewrite([71522(5),80776(10)])]. 148720 x * L(L(x,x,x),y,z) = x * L((x \ 1) \ 1,y,z). [para(70516(a,1),148178(a,2,2,1)),rewrite([148178(3)])]. 148732 L(x,x,x) * L(x,y,z) = x * L(L(x,x,x),y,z). [para(80925(a,1),148178(a,1,1,1)),rewrite([91037(3),80925(6)]),flip(a)]. 148751 a(x * (L(L(L(y,z,u),w,v5),y,y) * v6),v7,v8) = a((L(L(y,w,v5),z,u) * v6) * x,v7,v8). [para(148178(a,1),130748(a,1,1,2,1,2)),rewrite([25976(4),25976(3),56983(5),46787(7)]),flip(a)]. 148803 x \ (x \ L(y,z,u)) = L(x \ (x \ y),z,u). [hyper(5306,a,28563,a)]. 148864 (x \ y) * L((x \ y) \ ((y / x) \ z),u,w) = (y / x) \ L(z,u,w). [hyper(295,a,131774,a(flip),b,28563,a)]. 148927 x \ ((x \ 1) \ L(y,z,u)) = L(x \ ((x \ 1) \ y),z,u). [hyper(5083,a,28563,a(flip),b,69321,a),rewrite([25944(14),66364(13),50(7)])]. 148957 x * (y * L(y \ (x \ K(y,x)),z,u)) = (x * y) \ L(y * x,z,u). [para(55(a,1),28563(a,1,2,1,2)),rewrite([24474(6)])]. 148965 K(x * L((x \ y) / x,z,u),w) = K(L(y,z,u) / x,w). [para(28563(a,1),181(a,1,1)),rewrite([6174(6),27834(6),51(4),34587(4),2533(8)]),flip(a)]. 148978 (x \ y) * L((x \ y) \ x,z,u) = (y / x) \ L(y,z,u). [para(340(a,1),28563(a,1,2,1,2)),rewrite([131774(5)])]. 148989 K(x,T(L(y \ (y \ z),u,w) * y,z)) = K(x,y \ L(z,u,w)). [para(28563(a,1),7197(a,2,2)),rewrite([6174(8),27834(8),51(6)])]. 149084 x * L(L(x \ 1,y,z),u,w) = x \ L(L(x,y,z),u,w). [para(63806(a,2),28563(a,1,2,1,2)),rewrite([63806(4),69874(3)])]. 149086 (x \ 1) \ L(x * y,z,u) = x * L((1 / x) \ y,z,u). [para(67715(a,1),28563(a,1,2,1,2)),rewrite([81669(7),63868(9),50(2)]),flip(a)]. 149088 x * L(x \ L(x \ 1,y,z),u,w) = x \ L(x \ L(x,y,z),u,w). [para(69874(a,1),28563(a,1,2,1,2))]. 149183 L(L(L(x,y,z) \ (L(x,y,z) \ x),u,w),y,z) = L(L(x,y,z) \ 1,u,w). [back_rewrite(70480),rewrite([148803(6),148803(5)])]. 149203 (x / y) \ L(L(x / y,z,u),w,v5) = (y \ x) \ L(L(y \ x,z,u),w,v5). [back_rewrite(132089),rewrite([149084(7),149084(12)])]. 149204 T(x,y) \ L(L(T(x,y),z,u),w,v5) = x \ L(L(x,z,u),w,v5). [back_rewrite(131862),rewrite([149084(7),149084(10)])]. 149317 (x \ 1) \ L(L(x \ 1,y,z),u,w) = x \ L(L(x,y,z),u,w). [hyper(295,a,69321,a,b,149084,a),rewrite([25944(8),25944(7),66364(6),50(2),149084(5)]),flip(a)]. 149318 (1 / x) * L(L(x,y,z),u,w) = x \ L(L(x,y,z),u,w). [hyper(295,a,60809,a,b,149084,a),rewrite([149317(7),60426(4)])]. 149376 (x \ L(L(x,y,z),u,w)) * (v5 * v5) = x * L(L(x \ (v5 * v5),y,z),u,w). [para(149084(a,1),7(a,1,1)),rewrite([25958(11),25958(10),62166(9)])]. 149409 L(L(x,y,z),u,w) * (x \ 1) = x \ L(L(x,y,z),u,w). [para(411(a,2),149084(a,1,2,1,1)),rewrite([147512(8),149317(12)])]. 149416 L(x,y,z) * ((1 / x) * L(L(1 / x,y,z),u,w)) = L(1 / x,y,z) * (x \ L(L(x,y,z),u,w)). [para(149084(a,1),13622(a,1,2)),rewrite([60(4),66904(3),148363(15),99168(16)]),flip(a)]. 149447 (x \ L(L(x,y,z),u,w)) * a(a(v5,v6,v7),v8,v9) = x * L(L(x \ a(a(v5,v6,v7),v8,v9),y,z),u,w). [para(149084(a,1),7733(a,1,1)),rewrite([81685(13),86937(12),66271(11)])]. 149475 a(x \ L(L(x,y,z),u,w),v5,v6) = a(x * L(L(x,y,z),u,w),v5,v6). [para(149084(a,1),46633(a,1,1)),rewrite([149317(7),71527(12)])]. 149503 (x \ 1) \ L(1 / x,y,z) = x * L(1 / x,y,z). [para(60809(a,1),149084(a,1,2,1)),rewrite([49(4),98289(4),60426(9),49(10)]),flip(a)]. 149535 L(x,y,L(L(1 / z,u,w),v5,v6)) = L(x,y,L(L(z,u,w),v5,v6)). [para(149084(a,1),85526(a,1,3,1)),rewrite([85435(5),76232(8),49(7)]),flip(a)]. 149540 L(x,x,x) \ L(x,y,z) = x * L(1 / x,y,z). [para(80925(a,1),149084(a,2,2,1)),rewrite([80838(4),65058(4),99243(5)]),flip(a)]. 149634 L(L(x,y,z),u,w) \ (x \ L(L(x,y,z),u,w)) = x \ 1. [hyper(5306,a,149409,a)]. 149742 (x \ L(L(x,y,z),u,w)) \ (L(L(x,y,z),u,w) * v5) = L((x \ 1) \ v5,x,L(L(x,y,z),u,w)). [para(149409(a,1),382(a,2,1)),rewrite([28083(8)]),flip(a)]. 149748 a(x,y,z \ L(L(z,u,w),v5,v6)) = a(x,y,z * L(L(z,u,w),v5,v6)). [para(149409(a,1),72848(a,2,3)),rewrite([78011(8),78011(6),148178(3)]),flip(a)]. 149760 L(x,y,z \ L(L(z,u,w),v5,v6)) = L(x,y,z * L(L(z,u,w),v5,v6)). [para(149409(a,1),83104(a,2,3)),rewrite([73507(8),83104(6),148178(3)]),flip(a)]. 149777 a(x * (L(L(y \ 1,z,u),w,v5) * v6),v7,v8) = a((L(L(y,w,v5),z,u) * v6) * x,v7,v8). [para(149409(a,1),130748(a,1,1,2,1,2)),rewrite([68319(6),68319(5),323(3),49(4),26414(14),28083(12),148751(13)])]. 149780 a(x,y,L(L(L(z,u,w),v5,v6),z,z)) = a(x,y,L(L(z \ 1,u,w),v5,v6)). [para(149409(a,1),75452(a,1,3,2)),rewrite([68319(6),68319(5),323(3),49(4),26414(12),28083(10)]),flip(a)]. 150176 x * L((1 / x) * K(L(x,y,z) / L(x,x,x),u),y,z) = T(x * L(1 / x,y,z),T(u,x)). [para(149540(a,1),263(a,1,1)),rewrite([7726(9),26653(8),149540(12),6174(15)])]. 150183 a(x,y,L(y \ 1,z,u)) * (x * (y * L(1 / y,z,u))) = (x * y) * L(1 / y,z,u). [para(149540(a,2),7687(a,1,2,2)),rewrite([137207(4),149540(7)])]. 150235 a((x * L(1 / x,y,z)) \ u,w,v5) = a((x \ L(x,y,z)) \ u,w,v5). [para(149540(a,1),69472(a,2,1,1)),rewrite([80838(3),69493(6)]),flip(a)]. 150256 L(x,x,x) \ L(T(x,y),z,u) = x * L(K(x,y) / x,z,u). [para(149540(a,1),95539(a,1,1)),rewrite([6159(6),7726(6),26653(5),94930(4),60(7)]),flip(a)]. 150319 T(L(x,y,z) / T(x,u),x) = T(x,u) \ L(x,y,z). [hyper(7088,a,69933,a,b,96747,a),rewrite([104972(5),69933(11),64035(9),5754(8),9113(8)])]. 150366 T(x,y) * L(x \ 1,z,u) = x \ L(T(x,y),z,u). [hyper(5083,a,69933,a(flip),b,8487,a),rewrite([5754(4),64181(4)]),flip(a)]. 150368 (T(x,y) * y) \ L(x * y,z,u) = (y * x) * L((x * y) \ 1,z,u). [hyper(5083,a,69933,a(flip),b,7452,a),rewrite([5754(6),21004(6)])]. 150371 L(x,y,z) * L(L(x,y,z) \ K(u,w),v5,v6) = K(u,w) * (L(x,y,z) \ L(L(x,y,z),v5,v6)). [hyper(5083,a,69933,a(flip),b,27440,a(flip)),rewrite([27503(9),26458(8),26458(7),5784(6),5754(6),27503(12),49(11)]),flip(a)]. 150375 L(x,y,z) * (x \ (u * u)) = x * L(x \ (u * u),y,z). [para(69933(a,1),7(a,1,1)),rewrite([64051(4),25958(9),62166(8)])]. 150387 a(x,y,L(y \ 1,z,u)) * (x * (y \ L(y,z,u))) = (x * y) * L(y \ 1,z,u). [para(69933(a,1),7687(a,1,2,2))]. 150394 x * (L(x \ 1,y,z) * T(u,x \ L(x,y,z))) = L(u,L(x,y,z),x) * (x \ L(x,y,z)). [para(69933(a,1),11786(a,1,2,2,2)),rewrite([70578(12),69933(14)])]. 150400 K(x,y) * (L(x,z,u) \ L(L(x,w,v5),z,u)) = L(x,z,u) \ L(L(T(x,y),z,u),w,v5). [para(69933(a,2),19895(a,1,1)),rewrite([69933(8),64228(6),96833(6),97839(12)]),flip(a)]. 150405 L(x,y,z) * ((x \ 1) * u) = x * (L(x \ 1,y,z) * u). [para(69933(a,1),24258(a,1,1)),rewrite([83591(6),64124(5),6174(12),33301(13),31391(10)])]. 150409 L(x,y * L(y \ (z * z),u,w),v5) = L(x,y * L(y,u,w),v5). [para(69933(a,1),25426(a,1,2)),rewrite([23536(6),25954(5),51(4),82976(3),23536(7),49(6)]),flip(a)]. 150412 ((x * y) * x) \ L((x * y) * x,z,u) = (1 / (x * y)) * (x * L(y,z,u)). [para(26455(a,2),69933(a,1,2,1)),rewrite([26414(8),76084(8),64025(16)]),flip(a)]. 150413 L(x,y,z) * (x \ a(a(u,w,v5),v6,v7)) = x * L(x \ a(a(u,w,v5),v6,v7),y,z). [para(69933(a,1),7733(a,1,1)),rewrite([66475(5),81685(11),113538(10)])]. 150420 (x \ y) * (x \ L(T(x,x \ y),z,u)) = (y / x) * (x \ L(x,z,u)). [para(69933(a,1),13287(a,2,2)),rewrite([150366(7)])]. 150435 K(x,x \ 1) * (L(x,y,z) \ L(L(x,y,z),u,w)) = L(x,y,z) * L(1 / L(x,y,z),u,w). [para(69933(a,1),13542(a,1,2)),rewrite([6159(5),65050(4),145139(14)])]. 150442 (x \ y) \ L(x \ y,x \ y,x) = (x \ y) * (y \ x). [para(60487(a,1),69933(a,1,2)),rewrite([49(3)]),flip(a)]. 150445 a((x \ L(x,y,z)) \ u,w,v5) = a((x * L(x,y,z)) \ u,w,v5). [para(69933(a,2),69472(a,2,1,1)),rewrite([81670(4),69933(8)]),flip(a)]. 150455 (x * T(y,z)) * (y \ L(y,u,w)) = (x * y) * (y \ L(T(y,z),u,w)). [para(69933(a,1),83804(a,1,2)),rewrite([150366(11)])]. 150465 R(x,x \ y,L(y \ 1,z,u)) \ (y \ L(y,z,u)) = (x \ y) * L(y \ 1,z,u). [para(69933(a,1),95099(a,1,2))]. 150466 R(x,x \ y,y) \ L(R(x,x \ y,y),z,u) = R(x,x \ y,y) * L((x \ y) * (y \ 1),z,u). [para(95525(a,1),69933(a,1,2,1)),flip(a)]. 150470 R(x,L(1 / x,y,z),x) = R(x,L(x \ 1,y,z),x). [para(69933(a,1),1735(a,1,1,2,1)),rewrite([6174(8),69015(7),59713(6),108073(6)])]. 150495 L(1 / x,y,z) * T(x,u) = x \ L(T(x,u),y,z). [back_rewrite(94946),rewrite([150366(5)]),flip(a)]. 150500 (x \ L(x,y,z)) * (u * u) = x * L(x \ (u * u),y,z). [back_rewrite(64051),rewrite([150375(8)])]. 150501 L(L(T(x,y),z,u),w,v5) * (L(x,z,u) \ 1) = L(x,z,u) \ L(L(T(x,y),z,u),w,v5). [back_rewrite(97976),rewrite([150400(13)])]. 150508 x * (L(x \ 1,y,z) * (x \ u)) = L(1 / x,y,z) * u. [back_rewrite(68337),rewrite([150405(6)])]. 150510 L(x,L(y,z,u),y) = L(x,y,L(y,z,u)). [back_rewrite(64123),rewrite([150405(5),135623(9)])]. 150511 a(L(x,y,z),x,u) = a(x,L(x,y,z),u). [back_rewrite(64113),rewrite([150405(8),135624(9)]),flip(a)]. 150522 a((x * L(1 / x,y,z)) \ u,w,v5) = a((x * L(x,y,z)) \ u,w,v5). [back_rewrite(150235),rewrite([150445(10)])]. 150532 K(x,y) * (L(x,z,u) \ L(L(x,z,u),w,v5)) = L(x,z,u) \ L(L(T(x,y),z,u),w,v5). [back_rewrite(97975),rewrite([150501(7)]),flip(a)]. 150537 x * (L(x \ 1,y,z) * T(u,x \ L(x,y,z))) = L(u,x,L(x,y,z)) * (x \ L(x,y,z)). [back_rewrite(150394),rewrite([150510(10)])]. 150545 (x \ L(x,y,z)) \ (x * (L(x \ 1,y,z) * u)) = L(u,x,L(x,y,z)). [back_rewrite(135627),rewrite([150510(10)])]. 150548 L(T(x,x \ 1),y,z) / T(x \ L(x,y,z),x) = L(x,x,L(x,y,z)). [back_rewrite(113327),rewrite([150510(10)])]. 150549 L(x,y,z) * ((1 / x) * u) = x * (L(1 / x,y,z) * u). [back_rewrite(99283),rewrite([150510(6),99138(7)])]. 150574 T(x,x * L(x,y,z)) = L(x,x,L(x,y,z)). [back_rewrite(79835),rewrite([150510(5)])]. 150594 L(x,y,z) \ L(L(T(x,x \ 1),y,z),u,w) = L(x,y,z) * L(1 / L(x,y,z),u,w). [back_rewrite(150435),rewrite([150532(8)])]. 150597 x * (L(1 / x,y,z) * L(L(1 / x,y,z),u,w)) = L(1 / x,y,z) * (x \ L(L(x,y,z),u,w)). [back_rewrite(149416),rewrite([150549(9)])]. 150599 L(x \ 1,y,z) * (x * u) = x * (L(1 / x,y,z) * u). [back_rewrite(99168),rewrite([150549(10)])]. 150956 (L(x,y,z) \ 1) * L(T(x,x \ 1),u,w) = (1 / L(x,y,z)) * L(x,u,w). [para(65026(a,1),6430(a,2,1)),rewrite([65050(7),149(7)])]. 151353 (x * x) \ R(T(y,x \ (x \ z)),u,w) = R(T(y,z),u,w) / (x * x). [hyper(5083,a,6623,a(flip),b,72092,a(flip)),rewrite([74184(5),61(2),67250(8)]),flip(a)]. 151363 x * R(T(y,z * (z * x)),u,w) = R(T(y,z * z),u,w) * x. [hyper(5083,a,6623,a(flip),b,5,a(flip)),rewrite([22473(6),22936(6),61(3),68213(7)]),flip(a)]. 151370 (x * x) * (R(T(y,x * x),z,u) * w) = R(y,z,u) * ((x * x) * w). [hyper(5081,a,5,a(flip),b,6623,a(flip)),rewrite([68213(4),151363(6)])]. 151373 K(x,y) * (K(z,x) * R(T(y,T(K(z,x) * R(y,u,w),x)),u,w)) = (x * R(y,u,w)) / T(x,z). [hyper(266,a,140172,a,b,6623,a(flip)),rewrite([5679(2),140156(7)])]. 151395 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(412(a,1),6623(a,1,2,1)),flip(a)]. 151404 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(411(a,1),6623(a,1,2,1))]. 151406 T(x,R(T(y,z),u,w) \ (z \ v5)) = T(x,z \ (R(y,u,w) \ v5)). [para(6623(a,1),12024(a,1,2,1)),rewrite([12024(4)]),flip(a)]. 151421 (x * (R(T(y,x),z,u) * a(w,v5,v6))) / (R(y,z,u) * x) = L(a(w,v5,v6),R(y,z,u),x). [para(6623(a,1),15157(a,1,2)),rewrite([28056(12)])]. 151439 ((x * x) \ y) * R(T(z,y),u,w) = ((x * x) \ R(z,u,w)) * y. [para(6623(a,1),22473(a,1,2)),rewrite([22473(4)]),flip(a)]. 151517 R(x \ 1,y,z) * x = x * R(1 / x,y,z). [para(66904(a,1),6623(a,1,2,1)),flip(a)]. 151643 T(x,x \ y) * R(x \ y,z,u) = x * R(y / x,z,u). [back_rewrite(10966),rewrite([151395(5),7763(6)])]. 151672 R(T(x,y),z,u) * (T(x,y) \ w) = R(x,z,u) * (x \ w). [hyper(5081,a,7760,a,b,151404,a),rewrite([61(2),5679(4),9113(5),151404(10)])]. 151674 (T(x,y) \ z) * R(T((x \ z) \ z,y),u,w) = R(x,u,w) * (x \ z). [hyper(295,a,11267,a,b,151404,a),rewrite([12247(5),11267(8),151672(12)])]. 151676 (x * x) \ R((x \ 1) \ 1,y,z) = R(x,y,z) / (x * x). [hyper(295,a,66988,a(flip),b,151404,a),rewrite([411(7,R),71537(5),71999(12)])]. 151700 R(x,y,z) / (x * x) = x \ (x \ R(x,y,z)). [hyper(5083,a,151404,a(flip),b,69321,a),rewrite([62944(4),151676(10)]),flip(a)]. 151719 (R(x,y,z) * (x \ u)) / R(x,y,z) = u / x. [para(151404(a,2),147(a,1,1)),rewrite([151404(5),6332(9),147(9,R),51(7)])]. 151733 R(T(x,y),z,u) * (x \ K(y,x)) = x \ R(x,z,u). [para(225(a,1),151404(a,2,2)),rewrite([12247(8),151674(10),62944(4)]),flip(a)]. 151741 (x / y) \ R(T(y,y \ x),z,u) = (y \ x) \ R(y,z,u). [para(151404(a,2),248(a,1,1,1)),rewrite([151404(5),151719(5),61(4)])]. 151794 (x \ y) * (R((x \ y) \ y,z,u) * w) = (y / x) * (R(x,z,u) * w). [para(151404(a,1),380(a,1,1)),rewrite([28165(8),24258(7),61(4),63148(6)]),flip(a)]. 151848 (x \ 1) * (x \ R((x \ 1) \ 1,y,z)) = R(x,y,z) * (x \ (1 / x)). [para(62160(a,2),151404(a,1,1)),rewrite([62160(5),411(9,R),101333(7),71537(7),68101(9)])]. 151851 R(x \ 1,y,z) * ((x * x) * u) = (x * x) * (R(1 / x,y,z) * u). [para(67715(a,1),151404(a,1,1)),rewrite([67715(6),11965(6),22473(5),22924(4),58(6),5(7),6623(6),67715(13)]),flip(a)]. 151853 R((x \ 1) \ 1,y,z) * (1 / x) = (1 / x) * R(x,y,z). [para(69340(a,1),151404(a,1,1)),rewrite([69340(8),340(6),69340(15)]),flip(a)]. 151901 (R(x,y,z) * (x \ u)) / T(u,x \ R((x \ u) \ u,y,z)) = u \ (R(x,y,z) * (x \ u)). [para(151404(a,1),113706(a,1,1)),rewrite([151404(14)])]. 151919 a((x \ R(x,y,z)) * u,w,v5) = a((x * R(x,y,z)) * u,w,v5). [para(151404(a,2),134028(a,1,1,2)),rewrite([57720(9),62765(9),49(4),12667(7)])]. 151940 (x * x) \ R((x \ 1) \ 1,y,z) = x \ (x \ R(x,y,z)). [back_rewrite(151676),rewrite([151700(10)])]. 152089 x * L(R(y,x,L(y,z,u)),z,u) = T(L(y,z,u) * x,y). [hyper(5081,a,6174,a(flip),b,24832,a),rewrite([63(6)]),flip(a)]. 152114 T(T(x,y) * y,T(x,y)) = R(x,y,x) * y. [hyper(295,a,6623,a(flip),b,24832,a),rewrite([9730(2)]),flip(a)]. 152240 (x * x) \ T(y * L((x * x) * z,u,w),y) = L(z,u,w) * R(y,L((x * x) * z,u,w),y). [hyper(5083,a,24832,a(flip),b,25953,a(flip))]. 152336 ((x * x) \ y) * R(z,y,z) = (x * x) \ T(z * y,z). [para(24832(a,1),22473(a,1,2)),flip(a)]. 152433 T(x \ L(x,y,z),x) = x \ L(x,y,z). [para(63806(a,1),24832(a,2,1)),rewrite([63(7),99258(6),2195(7),63806(4),6174(6)]),flip(a)]. 152446 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(75459(a,1),24832(a,2,1)),rewrite([5826(7)]),flip(a)]. 152475 R(1 / x,x,R(y,x,y)) = R(y,x,y) / T(y * x,y). [para(24832(a,1),94500(a,2,2))]. 152482 L(1 / x,y,z) * R(x,L(x \ 1,y,z),x) = T(x * L(1 / x,y,z),x). [para(98289(a,2),24832(a,2,1)),rewrite([150470(7),98289(12)])]. 152502 T(x * y,x) \ R(y,R(x,y,x),R(x,y,x)) = R(x,y,x) \ 1. [para(24832(a,1),123722(a,1,1))]. 152524 T(T(x,y) * a(z,u,w),x) = a(z,u,w) * T(x,y). [para(15334(a,1),24832(a,2,1)),rewrite([10122(7),168(6),114693(6),7725(4),168(3)]),flip(a)]. 152549 L(x,x,L(x,y,z)) = T(x,x \ 1). [back_rewrite(150548),rewrite([152433(7),64231(7)]),flip(a)]. 152557 T(x,x * L(x,y,z)) = T(x,x \ 1). [back_rewrite(150574),rewrite([152549(5)])]. 152818 L(T(K(x \ L(y,z,u),w) * y,K(x,w)),z,u) = x * T(x \ L(y,z,u),w). [hyper(5081,a,2195,a,b,8764,a),rewrite([562(7),44462(7),108319(7),51162(6),26458(7),9602(6)])]. 152820 T(x * K(x / y,z),K(y,z)) = y * T(y \ x,z). [hyper(5081,a,410,a,b,8764,a),rewrite([562(5),44462(5),51162(5),9602(5),9005(3)])]. 152866 T(x \ R(x,y,z),u) = x \ R(x,y,z). [hyper(266,a,62761,a,b,8764,a),rewrite([96264(4),62944(4)]),flip(a)]. 153039 R(x,y,z) * (x \ T(R(x,y,z) \ x,u)) = K(R(x,y,z) \ x,u). [hyper(266,a,62761,a,b,8764,a(flip))]. 153161 L(x * K(y * x,z),y,y) = (1 / y) * T(y * x,z). [para(22931(a,1),8764(a,1,2,1)),rewrite([22931(10),26653(9)]),flip(a)]. 153201 (x / (y * z)) * (y * T(z,u)) = x * K(z,u). [para(26455(a,2),8764(a,1,2,1)),rewrite([60(7),85938(8),6385(10),340(8),50(7)])]. 153474 (x * y) * (z * K(y * z,u)) = R(x,y,z) * T(y * z,u). [para(6662(a,1),8764(a,1,2,1)),rewrite([6662(10),7726(9)]),flip(a)]. 154008 (1 / x) * R(x,y,x) = a(x,y,x). [para(1735(a,1),153161(a,2,2)),rewrite([173(6),3545(5),409(3),130543(4),5525(2)]),flip(a)]. 154079 L(x * K(x * y,y),y,y) = (1 / y) * T(y * x,y). [para(24832(a,2),153161(a,2,2)),rewrite([6775(2,R),24832(8)])]. 154639 K(x,y * y) * (z / T(y * y,u)) = z / T(y * y,u * x). [hyper(7088,a,74048,a,b,41903,a),rewrite([54262(3),1039(7),2695(7),562(7),564(7),1039(7),2695(7),74048(11),5754(10)]),flip(a)]. 154725 (x * y) / T(z * z,u) = x * (y / T(z * z,u)). [hyper(295,a,7687,a,b,74048,a),rewrite([13983(5),72745(4),74048(6),48(6)]),flip(a)]. 154837 R(x,y,T(z \ (z \ 1),u)) = x. [hyper(5142,a,74048,a(flip),b,401,a),rewrite([154725(4),74048(9),52(8)]),flip(a)]. 154894 (x \ y) / T(z * z,u) = x \ (y / T(z * z,u)). [hyper(5081,a,95099,a,b,74048,a(flip)),rewrite([154837(6),74048(5)]),flip(a)]. 154943 R(x,y,z) / T(u * u,w * x) = T(u * u,w) \ R(x,y,z). [para(74048(a,1),5593(a,1,2)),rewrite([1039(5),34328(5),1039(3),2734(3),154639(7),67217(11)])]. 154946 (x / T(y * y,z)) \ u = T(y * y,z) * (x \ u). [para(74048(a,1),11892(a,2,1)),rewrite([67408(6),26536(9),67282(8)]),flip(a)]. 155476 K(x,y) * ((L(z,u,w) \ z) \ 1) = (L(z,u,w) \ z) \ K(x,y). [hyper(295,a,75459,a,b,91470,a),rewrite([91470(5)])]. 155506 ((L(x,y,z) \ x) \ 1) * ((L(x,y,z) \ x) \ u) = ((L(x,y,z) \ x) * (L(x,y,z) \ x)) \ u. [para(91470(a,1),61780(a,1,1))]. 155615 x / ((y / z) * K(u,z \ y)) = (x / (y / z)) * K(z \ y,u). [para(177(a,1),42302(a,2,2)),rewrite([1039(4),412(3)])]. 155625 (x / (y / z)) * K(z \ y,z) = x / ((z * (y / z)) / z). [para(238(a,1),42302(a,1,2,2)),rewrite([1841(4),2399(8)]),flip(a)]. 155833 R(T(x,x * R(x,y,z)),y,z) = L(R(x,y,z),x,R(x,y,z)). [hyper(7088,a,67315,a,b,63041,a),rewrite([61(4),67315(12),70971(11),89885(11),63214(7)])]. 155892 (x \ R(x,y,z)) * (u * u) = R(x,y,z) * (x \ (u * u)). [hyper(5083,a,67315,a,b,62761,a),rewrite([67315(5),70971(4)])]. 155950 (x * (y * T(z * z,u))) \ w = T(z * z,u) \ ((x * y) \ w). [para(67315(a,1),43201(a,1,2,1,2)),rewrite([34328(4),11968(6),9113(7),122187(10)]),flip(a)]. 156001 (L(L(x,y,z) \ x,u,w) \ v5) \ v5 = L(L(x,y,z) \ x,u,w). [hyper(18716,a,118292,a)]. 156011 x / L(L(L(y,z,u),w,v5) \ L(y,w,v5),v6,v7) = L(L(L(y,w,v5),z,u) \ L(y,w,v5),v6,v7) \ x. [para(64(a,1),118292(a,1,2,1,1))]. 156311 x / T(y \ L(y,z,u),y * (L(y,z,u) \ x)) = (y \ L(y,z,u)) \ x. [para(63806(a,2),61910(a,1,2,1)),rewrite([63806(4),64093(6)])]. 156355 x / (y * L(y \ x,z,u)) = (y * L(y \ x,z,u)) \ x. [para(25190(a,1),61910(a,1,2)),rewrite([69930(3),69930(7)])]. 156529 (x \ 1) * (x \ T(y,x \ 1)) = x \ (y * (1 / x)). [para(410(a,1),62146(a,1,2)),rewrite([23218(9)]),flip(a)]. 156633 L(x,y,z) \ (x * (L(x,y,z) \ 1)) = x / (L(x,y,z) * L(x,y,z)). [para(91483(a,2),62146(a,2,2)),rewrite([118328(5),91483(11),118658(12)])]. 156693 x \ ((1 / x) \ L(y,z,u)) = L(x \ ((1 / x) \ y),z,u). [para(28563(a,1),62146(a,1,2)),rewrite([68319(16),68832(15)])]. 156696 R(x,y,z) * ((x \ 1) * (x \ u)) = (1 / x) * (R(x,y,z) * (x \ u)). [para(62146(a,1),151404(a,1,1)),rewrite([62146(8),68326(12),60881(10),7753(9),58(9),68332(10),6623(8),138125(8),63148(9),62146(11)]),flip(a)]. 157344 a(x * (y \ ((z * z) * u)),w,v5) = a((y \ u) * x,w,v5). [para(61822(a,2),13826(a,2,1,2,1)),rewrite([72042(3),12650(5),61822(7),23536(6)]),flip(a)]. 157346 L(x,y,z) * ((x * x) \ u) = L(x \ 1,y,z) * u. [para(61822(a,1),18710(a,1,1)),rewrite([61822(6),23536(8),68800(7),58(8),147563(9),66364(6),50(2),61822(9)]),flip(a)]. 157405 (x * ((x \ 1) \ y)) \ z = y \ ((x \ 1) * (x \ z)). [para(61822(a,1),68847(a,2,1)),rewrite([145966(6),11961(7),64714(3),70429(6),62160(10),64765(9)]),flip(a)]. 157408 (x * ((y * y) \ (x / (y * y)))) \ z = (y * y) * ((x * ((y * y) \ x)) \ z). [para(72092(a,1),61822(a,2,1)),rewrite([72042(6),5(7),72042(8),101576(7)]),flip(a)]. 157465 (x \ (x \ R(x,y,z))) * u = R(x,y,z) * ((x * x) \ u). [para(61822(a,1),151404(a,1,1)),rewrite([61822(6),23536(8),68800(7),58(8),151439(9),151940(7),61822(9)])]. 157578 (x * x) * ((y * ((x * x) \ y)) \ (y / (x * x))) = 1 / (y / (x * x)). [back_rewrite(74341),rewrite([157408(8)])]. 157770 L(x,y,z) \ (L(x \ 1,y,z) * u) = (x * x) \ u. [hyper(5306,a,157346,a)]. 157940 (x * x) \ (L(x \ 1,y,z) \ u) = L(x,y,z) \ u. [hyper(5083,a,51,a(flip),b,157346,a),flip(a)]. 157997 L(x \ (y \ (y \ 1)),z,u) * w = L(x \ 1,z,u) * ((y * y) \ w). [hyper(5081,a,72092,a,b,157346,a),rewrite([25949(5),67339(4),157346(12)])]. 158007 L(x \ 1,y,z) * ((x \ 1) \ u) = L(x,y,z) * (x \ u). [hyper(5081,a,18733,a,b,157346,a),rewrite([18733(9),66364(13),50(10)])]. 158017 L(x,y,z) * (K(u,w) * ((x * x) \ v5)) = L(x \ K(u,w),y,z) * v5. [hyper(5081,a,10794,a,b,157346,a),rewrite([6174(4),27834(4),49(2),56531(7),49(3),22473(9),67625(8),67958(9)]),flip(a)]. 158018 L(x \ 1,y,z) * (K(u,w) * v5) = L(x \ K(u,w),y,z) * v5. [hyper(5081,a,9543,a,b,157346,a),rewrite([60(6),11635(8),22473(11),67625(10),67958(11),158017(12)])]. 158019 L(x,y,z) * (((x * x) \ u) * w) = L(x \ 1,y,z) * (u * w). [hyper(5081,a,9213,a,b,157346,a),rewrite([60(4),6174(8),13218(9),22473(9)]),flip(a)]. 158023 L(x \ 1,y,z) * (u * a(w,v5,a(v6,v7,v8))) = L(x \ a(w,v5,a(v6,v7,v8)),y,z) * u. [hyper(5081,a,7732,a,b,157346,a),rewrite([17022(6),12981(5),16927(11),158019(12)]),flip(a)]. 158035 L(x \ 1,y,z) \ L(L(x \ 1,y,z),u,w) = L(x,y,z) \ L(L(x,y,z),u,w). [hyper(5081,a,69933,a(flip),b,157346,a),rewrite([25944(17),157940(16),69933(14)])]. 158084 x * (x * (L(x \ 1,y,z) * u)) = L(x,y,z) * L(u,x,x). [para(56(a,1),157346(a,1,2)),rewrite([150599(9),31391(8)]),flip(a)]. 158086 ((x * L(y,z,u)) * ((y * y) \ w)) / (L(y \ 1,z,u) * w) = R(x,L(y,z,u),(y * y) \ w). [para(157346(a,1),57(a,1,2))]. 158091 L(x \ T(x * x,y),z,u) = L(x * K(x * x,y),z,u). [para(82(a,1),157346(a,1,2)),rewrite([26653(4),56988(10),97923(9)]),flip(a)]. 158092 K(x * L(y \ 1,z,u),T(w,y)) = K(L(y \ 1,z,u) * x,w). [para(157346(a,2),181(a,2,1)),rewrite([6174(8),27834(8),49(6),157346(10)])]. 158093 K(L(x \ K(y,K(z,u)),w,v5) * v6,v7) = K(L(x \ 1,w,v5) * v6,v7). [para(157346(a,1),183(a,2,1)),rewrite([158017(7)])]. 158113 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [para(340(a,1),157346(a,2,1,1)),rewrite([61772(8),64765(7),31391(8),158007(7)])]. 158118 a(x,L(y,z,u),w) * (x * (L(y \ 1,z,u) * w)) = (x * L(y,z,u)) * ((y * y) \ w). [para(157346(a,1),7687(a,1,2,2)),rewrite([72569(4)])]. 158120 a(x,L(y,z,u),w) * (x * (L(y \ 1,z,u) * w)) = (x * L(y \ 1,z,u)) * w. [para(157346(a,2),7687(a,1,2,2)),rewrite([70585(4),157346(6)])]. 158121 a(x,y,a(z,u,w)) * ((L(v5 \ 1,v6,v7) * v8) * v9) = (L(v5 \ a(x,y,a(z,u,w)),v6,v7) * v8) * v9. [para(157346(a,1),8319(a,2,2,1)),rewrite([158019(7),158023(7)]),flip(a)]. 158128 T((x * y) * L(z \ 1,u,w),K(y,x)) = (y * x) * L(z \ K(x,y),u,w). [para(157346(a,2),9670(a,1,2)),rewrite([67625(5),67809(6),51(5)]),flip(a)]. 158137 a(L(x \ 1,y,z) * u,w,v5) = a(u * L(x,y,z),w,v5). [para(157346(a,1),12467(a,2,1)),rewrite([60(2),22966(6),12585(4)]),flip(a)]. 158138 K(x,y) * (L(z \ 1,u,w) \ v5) = L(z \ K(y,x),u,w) \ v5. [para(157346(a,2),12023(a,1,1)),rewrite([67625(4),67809(5),51(4)]),flip(a)]. 158144 a(x,L(y \ 1,z,u) * w,v5) = a(x,w * L(y,z,u),v5). [para(157346(a,1),13932(a,2,2)),rewrite([60(2),22971(6),14883(4)]),flip(a)]. 158145 a(x,y * L(z \ 1,u,w),v5) = a(x,y * L(z,u,w),v5). [para(157346(a,2),14794(a,1,2)),rewrite([157346(4),158144(5)]),flip(a)]. 158172 L(x,L(y \ 1,z,u) * w,v5) = L(x,L(y,z,u) * w,v5). [para(157346(a,1),25672(a,2,2)),rewrite([74583(7),25672(5)]),flip(a)]. 158247 a(x,y,L(z \ 1,u,w) * v5) = a(x,y,L(z,u,w) * v5). [para(157346(a,1),72848(a,2,3)),rewrite([72912(7),72848(5)]),flip(a)]. 158259 L(x,y,L(z \ 1,u,w) * v5) = L(x,y,L(z,u,w) * v5). [para(157346(a,1),83104(a,2,3)),rewrite([83096(7),83104(5)]),flip(a)]. 158261 L(x,y,L(z \ K(u,w),v5,v6) * v7) = L(x,y,L(z,v5,v6) * v7). [para(157346(a,1),83105(a,2,3)),rewrite([158017(6),158259(10)])]. 158297 a(x * L(y \ a(z,u,a(w,v5,v6)),v7,v8),v9,v10) = a(L(y,v7,v8) * x,v9,v10). [para(157346(a,1),134028(a,1,1,2)),rewrite([17022(6),12981(5),25954(9),25953(10),11958(11)])]. 158302 a(x,y,(L(z \ 1,u,w) * v5) * v6) = a(x,y,(v5 * L(z,u,w)) * v6). [para(157346(a,1),73040(a,2,3,1)),rewrite([72984(8),73789(6)]),flip(a)]. 158303 a(x,y,z * (L(u \ 1,w,v5) * v6)) = a(x,y,(v6 * L(u,w,v5)) * z). [para(157346(a,1),136137(a,2,3,2)),rewrite([72932(6)]),flip(a)]. 158304 a(x,y,z * (u * L(w \ 1,v5,v6))) = a(x,y,(u * L(w,v5,v6)) * z). [para(157346(a,2),136137(a,1,3,1)),rewrite([157346(4),158302(6)]),flip(a)]. 158307 a(x,y,L(z \ K(u,w),v5,v6)) = a(x,y,L(z \ 1,v5,v6)). [para(157346(a,2),13984(a,1,3)),rewrite([67625(4),67809(5),51(4)])]. 158331 x * (L(1 / x,y,z) * (x \ u)) = L(x \ 1,y,z) * u. [back_rewrite(135475),rewrite([158007(9),99134(6)])]. 158332 L(x \ K(y,z),u,w) * ((x \ K(y,z)) \ v5) = L(x,u,w) * (x \ v5). [back_rewrite(110379),rewrite([158007(11)])]. 158354 x * ((y / x) * L(x,z,u)) = L(x,z,u) * y. [back_rewrite(13641),rewrite([158113(4)]),flip(a)]. 158355 (x * L(y,z,u)) * ((y * y) \ w) = (x * L(y \ 1,z,u)) * w. [back_rewrite(158118),rewrite([158120(8)]),flip(a)]. 158372 R(x,L(y,z,u),(y * y) \ w) = R(x,L(y \ 1,z,u),w). [back_rewrite(158086),rewrite([158355(5),57(10)]),flip(a)]. 158417 a(x,y,L(z \ 1,u,w)) = a(x,y,L(z,u,w)). [para(5739(a,1),158303(a,1,3)),rewrite([60(5),14986(6),26458(7),26653(9),7726(8),5739(8),562(6),14986(8)])]. 158428 a(x,y,(z * L((u * u) \ w,v5,v6)) * v7) = a(x,y,(z * L(w,v5,v6)) * v7). [para(72092(a,1),158303(a,2,3,1)),rewrite([77998(8),158303(6),25944(7)]),flip(a)]. 158460 a(x,y,L(z \ K(u,w),v5,v6)) = a(x,y,L(z,v5,v6)). [back_rewrite(158307),rewrite([158417(8)])]. 158464 (x * (1 / y)) * L(y,z,u) = (x * y) * L(y \ 1,z,u). [back_rewrite(150387),rewrite([158417(4),71816(6)])]. 158470 (x * (y \ 1)) * L(y,z,u) = (x * y) * L(1 / y,z,u). [back_rewrite(150183),rewrite([158417(4),99099(8)])]. 158482 a(x,y,L(y,z,u)) * (x * (y \ L(y,z,u))) = (x * y) * L(y \ 1,z,u). [back_rewrite(71816),rewrite([158464(11)])]. 158486 R(x,y \ 1,L(y,z,u)) = R(x,y,L(1 / y,z,u)). [back_rewrite(99077),rewrite([158470(5),57(10)]),flip(a)]. 158490 R(x,x,L(1 / x,y,z)) = T(x,x \ 1). [back_rewrite(99258),rewrite([158486(4)])]. 158527 x \ (L(x,y,z) * u) = (u / x) * L(x,y,z). [hyper(5306,a,158354,a)]. 158622 (a(x,y,a(z,u,w)) / v5) * L(v5,v6,v7) = v5 * L(v5 \ a(x,y,a(z,u,w)),v6,v7). [hyper(5083,a,8271,a,b,158354,a),rewrite([8271(6),17022(4),17070(5),70598(5)]),flip(a)]. 158630 x \ (a(y,z,u) * L(x,w,v5)) = (a(y,z,u) / x) * L(x,w,v5). [hyper(5083,a,1143,a,b,158354,a)]. 158638 ((x \ 1) / L(x,y,z)) * L(L(x,y,z),u,w) = L(x,y,z) \ (x \ L(L(x,y,z),u,w)). [hyper(5083,a,149409,a(flip),b,158354,a),flip(a)]. 158639 L(x,y,z) \ (x * L(L(x,y,z),u,w)) = (L(x,y,z) \ x) * L(L(x,y,z),u,w). [hyper(5083,a,148178,a(flip),b,158354,a),rewrite([91483(7)])]. 158680 (T(x,y) / y) * L(y,z,u) = y \ (x * L(y,z,u)). [hyper(5083,a,410,a(flip),b,158354,a),rewrite([6174(5)]),flip(a)]. 158716 x * T(y,x * y) = L(y,x,y) * x. [hyper(266,a,11786,a,b,158354,a),rewrite([4773(2,R),27491(7)])]. 158727 T(x,(y / x) * L(x,z,u)) \ (L(x,z,u) * y) = T((y / x) * L(x,z,u),x). [hyper(7088,a,158354,a(flip),b,410,a),rewrite([196(8)]),flip(a)]. 158757 (L(x,y,z) * u) / T(x,(u / x) * L(x,y,z)) = (u / x) * L(x,y,z). [hyper(5142,a,158354,a(flip),b,410,a)]. 158793 L(x,y,z) * (u * x) = x * (u * L(x,y,z)). [para(52(a,1),158354(a,1,2,1)),flip(a)]. 158804 L(x,y,z) * ((u / L(x,y,z)) * L(L(x,w,v5),y,z)) = L(L(x,y,z),w,v5) * u. [para(64(a,1),158354(a,1,2,2))]. 158808 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(147(a,1),158354(a,1,2,1)),rewrite([7725(4),26458(3),168(2),2195(3)]),flip(a)]. 158809 (x \ y) * (x * L(y / x,z,u)) = L(y / x,z,u) * y. [para(160(a,1),158354(a,1,2,1)),rewrite([7725(7),26458(6),1205(5),409(3),412(3),13695(5)])]. 158813 K(((x / y) * L(y,z,u)) * y,w) = K(x * L(y,z,u),w). [para(158354(a,1),181(a,1,1)),rewrite([27601(7),53(4),181(4)]),flip(a)]. 158846 L(x * a(y,z,a(u,w,v5)),v6,v7) \ v8 = a(y,z,a(u,w,v5)) \ (L(x,v6,v7) \ v8). [para(158354(a,2),11964(a,1,1)),rewrite([158622(5),25976(6),51(4)])]. 158855 (x \ y) * (x * L(x \ y,z,u)) = L(x \ y,z,u) * y. [para(337(a,1),158354(a,1,2,1))]. 158896 L(T(x,y),z,u) * (w * x) = T(x,y) * (w * L(x,z,u)). [para(41552(a,1),158354(a,1,2,1)),rewrite([7725(6),26458(5),86499(4),2045(3),235(4)]),flip(a)]. 159058 T(L(x,y,x) * y,x) = y * x. [back_rewrite(21907),rewrite([158716(3)])]. 159089 x * ((x * (y * x)) / x) = x * (L(x,y,x) * y). [back_rewrite(129347),rewrite([158808(3)]),flip(a)]. 159097 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [back_rewrite(118478),rewrite([158808(8),51(7),49(4),96716(4)]),flip(a)]. 159112 (x * (a(y,z,a(u,w,v5)) \ (L(x,v6,v7) \ v8))) / x = v8 / L(x * a(y,z,a(u,w,v5)),v6,v7). [back_rewrite(118454),rewrite([158846(5)])]. 159118 T(x,y) * L(K(z,u) * x,w,v5) = x * L(K(z,u) * T(x,y),w,v5). [back_rewrite(86817),rewrite([158896(5),26458(4)])]. 159135 x / (L(x,y,z) * L(x,y,z)) = L(x,y,z) \ (L(x,y,z) \ x). [back_rewrite(156633),rewrite([159097(5)]),flip(a)]. 159145 (L(x,y,z) \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ (L(x,y,z) \ x). [back_rewrite(118658),rewrite([159135(10)])]. 159326 (x / (y \ 1)) * L(y \ 1,z,u) = L(y,z,u) * (y \ x). [hyper(5083,a,157346,a,b,158113,a),rewrite([157346(6),158527(7),158007(14)])]. 159330 (((L(x,y,z) \ u) * w) / x) * L(x,y,z) = L(x,y,z) * (x \ ((L(x,y,z) \ u) * w)). [hyper(5083,a,134854,a,b,158113,a),rewrite([134854(9),158527(6)])]. 159344 (L(L(x,y,z) \ u,w,v5) / x) * L(x,y,z) = L(x,y,z) * (x \ L(L(x,y,z) \ u,w,v5)). [hyper(5083,a,28584,a,b,158113,a),rewrite([60(2),60(4),86172(7),158527(6)])]. 159345 (x / T(y,z)) * L(T(y,z),u,w) = L(y,u,w) * (y \ x). [hyper(5083,a,18820,a,b,158113,a),rewrite([18820(5),158527(5),18733(10)])]. 159354 T(x,y) \ (L(x,z,u) * w) = L(x,z,u) * (T(x,y) \ w). [hyper(5083,a,9138,a,b,158113,a),rewrite([5537(2),11981(5),5537(7),11981(8)])]. 159363 (L(T(x,y),z,u) / x) * L(x,z,u) = L(x,z,u) * (x \ L(T(x,y),z,u)). [hyper(5083,a,1599,a,b,158113,a),rewrite([60(2),57532(4),158527(5),60(8)])]. 159370 L(x,y,z) * (x \ (L(L(x,y,z),u,w) * (L(x,y,z) \ v5))) = x \ (L(L(x,y,z),u,w) * v5). [hyper(5083,a,158113,a(flip),b,158113,a),flip(a)]. 159391 x \ (L(T(x,y),z,u) * w) = L(T(x,y),z,u) * (x \ w). [hyper(5083,a,18820,a(flip),b,158113,a),rewrite([43819(8),18820(9)])]. 159393 L(a(x,y,z),u,w) * (a(x,y,z) \ (w * u)) = a(x,y,z) \ (w * (u * a(x,y,z))). [hyper(5083,a,15015,a(flip),b,158113,a),flip(a)]. 159407 L(x,y,z) * (x \ T(u,x)) = x \ (u * L(x,y,z)). [hyper(5083,a,410,a(flip),b,158113,a),rewrite([6174(6)]),flip(a)]. 159410 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(5083,a,51,a(flip),b,158113,a),flip(a)]. 159442 x * ((y * y) * (L(x,z,u) * (x \ w))) = L(x,z,u) * ((y * y) * w). [hyper(5081,a,49326,a(flip),b,158113,a),rewrite([20865(12),49326(13),51(12),6(10)]),flip(a)]. 159512 x \ (L(x \ 1,y,z) * u) = L(1 / x,y,z) * (x \ u). [hyper(5083,a,158113,a(flip),b,69321,a),rewrite([158007(13),22473(10),25944(8),22924(7)])]. 159516 (x \ 1) \ (L(x \ K(y,z),u,w) * v5) = K(y,z) * (L(x,u,w) * (x \ v5)). [hyper(5083,a,158113,a(flip),b,31945,a),rewrite([158332(15)])]. 159652 L(L(x,y,z) * (x \ u),x,x) = x * (L(x \ 1,y,z) * u). [para(158113(a,1),61613(a,1,2)),rewrite([158007(12)]),flip(a)]. 159675 L(x,y * (L(y \ 1,z,u) * w),v5) = L(x,y * (L(y,z,u) * w),v5). [para(158113(a,1),25754(a,1,2,2)),rewrite([159652(8)]),flip(a)]. 159678 L(x,y,z * (L(z \ 1,u,w) * v5)) = L(x,y,(L(z,u,w) * v5) * z). [para(158113(a,1),85526(a,1,3,1)),rewrite([159652(8)]),flip(a)]. 159742 L(x,y,z) * (T(x,(u / x) * L(x,y,z)) \ u) = T((u / x) * L(x,y,z),x). [back_rewrite(158727),rewrite([159354(7)])]. 159862 L(x,y,z) * (T(x,u) \ u) = x \ (u * L(x,y,z)). [para(194(a,1),159354(a,2,2)),rewrite([159354(4),159407(8)])]. 160072 (x / y) * L(y * K(x,z),u,w) = (T(x,z) / y) * L(y,u,w). [hyper(295,a,97409,a,b,158527,a),rewrite([158527(3),7726(5),26653(4)])]. 160077 (x / (y \ K(z,u))) * L(y \ K(z,u),w,v5) = L(y,w,v5) * (y \ x). [hyper(295,a,31968,a,b,158527,a),rewrite([159516(8),5784(7)]),flip(a)]. 160116 (L(x,y,z) * (x \ u)) / L(x \ 1,y,z) = u / (x \ 1). [hyper(5142,a,68073,a,b,158527,a(flip)),rewrite([159512(6),68132(7)])]. 160128 ((x / y) * L(y,z,u)) / L(y * a(w,v5,a(v6,v7,v8)),z,u) = x / (y * a(w,v5,a(v6,v7,v8))). [hyper(5142,a,11964,a(flip),b,158527,a(flip)),rewrite([37535(7),16926(8),158527(5),7735(8),17022(7),19453(9),69930(8),17060(8),51(7)])]. 160170 (x / T(y,x)) * L(y,z,u) = y \ (x * L(y,z,u)). [para(174(a,1),158527(a,2,1)),rewrite([11573(3)]),flip(a)]. 160302 (x / y) * L(y * K(L(y,z,u) * x,w),z,u) = y \ T(L(y,z,u) * x,w). [para(158527(a,1),95539(a,1,1)),rewrite([7726(7),26653(6)])]. 160365 L(x,y,z) * (u * K((u / x) * L(x,y,z),w)) = x * T((u / x) * L(x,y,z),w). [para(158527(a,1),8764(a,1,2,1)),rewrite([158527(10),7726(12)]),flip(a)]. 160406 L(x,y,z) \ L(1 / x,y,z) = x \ (1 / x). [hyper(7088,a,61822,a(flip),b,160170,a),rewrite([174(6,R),66904(3),67495(3),6174(5),67009(4),25944(7),22924(6)]),flip(a)]. 160420 (x \ L(x,y,z)) \ L(x \ 1,y,z) = x \ 1. [hyper(7088,a,160170,a,b,80946,a(flip)),rewrite([62148(5),98289(6),92564(7),124344(5),62148(5),98289(6),60(12),92218(12),49(10),409(9),65871(9),68101(12),62148(11),98289(12),158809(13),49(11),58200(10),69933(6)]),flip(a)]. 160491 R(1 / x,x,L(1 / x,y,z)) = x \ 1. [hyper(5142,a,160170,a,b,80946,a(flip)),rewrite([60(6),92218(6),49(4),409(3),65871(3),68101(6),62148(5),98289(6),158809(7),49(5),62148(6),98289(7),99259(8)])]. 160524 L(x,y,z) \ (L(x,u,w) * (x \ L(x,y,z))) = x \ L(x,u,w). [hyper(5083,a,160170,a,b,159354,a(flip)),rewrite([6174(5),1343(4),159345(7),64035(10)])]. 160535 a(x,y,z) \ (u * L(a(x,y,z),w,v5)) = (a(x,y,z) \ u) * L(a(x,y,z),w,v5). [hyper(5081,a,6706,a,b,160170,a),rewrite([6706(5),547(7),6706(7)])]. 160639 a(x \ (y * L(x,z,u)),w,v5) = a(L(x,z,u) * (x \ y),w,v5). [para(160170(a,1),12534(a,1,1)),rewrite([13812(9)])]. 160641 x \ ((y / x) * L(x,z,u)) = ((x \ y) / x) * L(x,z,u). [para(3334(a,1),160170(a,1,1,2)),rewrite([6717(4)]),flip(a)]. 160700 T(x,y) * L(R(y,x,y),z,u) = y \ ((x * y) * L(y,z,u)). [para(41552(a,1),160170(a,1,1)),rewrite([7725(5),26458(4),2045(3),107900(5)])]. 160759 x * L(L(x,x,x),y,z) = (1 / x) \ L(x,y,z). [para(413(a,1),160170(a,1,1,2)),rewrite([90742(3),102537(2),82013(1),148732(3),25954(6),81378(7)])]. 160874 x * L(y * K(x * y,y),z,u) = y \ ((x * y) * L(y,z,u)). [back_rewrite(107900),rewrite([160700(9)])]. 160877 x * L((x \ 1) \ 1,y,z) = (1 / x) \ L(x,y,z). [back_rewrite(148720),rewrite([160759(3)]),flip(a)]. 160878 x * L(T(x,x \ 1),y,z) = (1 / x) \ L(x,y,z). [back_rewrite(128975),rewrite([160759(8)])]. 160887 L((x \ 1) \ 1,y,z) * x = (1 / x) \ L(x,y,z). [back_rewrite(148719),rewrite([160877(12)])]. 160951 L(T(L(x \ 1,y,z) \ (x \ u),w),x,L(x,y,z)) = T((x \ L(x,y,z)) \ u,w). [hyper(5083,a,159652,a,b,255,a),rewrite([69933(4),159652(12),150545(14),69933(12)])]. 160965 T(x,x \ 1) * (L(1 / x,y,z) * u) = x * (L(x \ 1,y,z) * u). [hyper(5081,a,9213,a,b,159652,a),rewrite([6174(4),60(7),66904(6),159652(12)])]. 160971 T((x * y) * L((y * x) \ 1,z,u),K(x,y)) = (1 / (y * x)) * L(x * y,z,u). [hyper(5081,a,9670,a(flip),b,159652,a),rewrite([562(8),70215(14),24474(14),148957(14),60426(15)])]. 160976 (1 / (x * y)) * L(y * x,z,u) = (x * y) \ L(y * x,z,u). [hyper(5081,a,159652,a,b,9670,a(flip)),rewrite([70215(6),24474(6),148957(6),60426(7),158128(14),24474(12),148957(12)])]. 160992 x * (x * (L(1 / x,y,z) * u)) = L(L(x,y,z) * u,x,x). [para(50(a,1),159652(a,1,1,2)),rewrite([150599(8)]),flip(a)]. 161018 K(x * (L(x \ 1,y,z) * u),w) = K(L(x,y,z) * (x \ u),w). [para(159652(a,1),6159(a,1,1))]. 161117 L(x,y,(a(z,u,w) \ L(a(z,u,w),v5,v6)) * v7) = L(x,y,a(z,u,w) * (v7 * L(a(z,u,w),v5,v6))). [para(159652(a,2),20235(a,2,3)),rewrite([69933(6),159652(14),159678(14),15037(11)])]. 161173 T((x * y) * L((y * x) \ 1,z,u),K(x,y)) = (y * x) \ L(x * y,z,u). [back_rewrite(160971),rewrite([160976(14)])]. 161647 L((x * x) \ y,z,u) * (y \ w) = L(y,z,u) * (y \ ((x * x) \ w)). [hyper(5083,a,158007,a,b,25953,a(flip)),rewrite([11965(5),67007(4),11965(10),67007(9),68801(11),157997(12),50(11),158007(8),22473(5),25944(3),11965(9)])]. 161717 ((x \ 1) \ y) * (L(T(x \ 1,x * y),z,u) * w) = (y / x) * (L(x,z,u) * w). [para(158007(a,1),24258(a,1,1)),rewrite([83147(10),70578(8),24258(7),60(4),33470(6),60848(14),324(13),60(12)]),flip(a)]. 161725 (x / (y \ 1)) * (L(y \ 1,z,u) * w) = (x / y) * (L(y,z,u) * w). [para(158007(a,1),32795(a,1,1,1)),rewrite([160116(7),60848(18),324(17),60(16),161717(18)])]. 161757 L(x \ 1,y,z) * (x \ L(x,u,w)) = L(x,y,z) * (x \ L(x \ 1,u,w)). [para(63806(a,2),158007(a,1,2)),rewrite([63806(11),70241(9)])]. 161758 x * (L(1 / x,y,z) * L(x,u,w)) = L(x,y,z) * (x \ L(x,u,w)). [para(63806(a,2),158007(a,2,2)),rewrite([81670(7),150599(6),63806(11)])]. 161781 L(R(x,x \ y,y),z,u) * ((x \ y) * (y \ 1)) = ((x \ y) * y) \ L((x \ y) * y,z,u). [para(95525(a,1),158007(a,2,2)),rewrite([95525(4),95525(9),63806(12),144388(10)]),flip(a)]. 161831 R(x,x \ y,y) \ L(R(x,x \ y,y),z,u) = ((x \ y) * y) \ L((x \ y) * y,z,u). [back_rewrite(101723),rewrite([161781(14)])]. 161832 R(x,x \ y,y) * L((x \ y) * (y \ 1),z,u) = ((x \ y) * y) \ L((x \ y) * y,z,u). [back_rewrite(150466),rewrite([161831(6)]),flip(a)]. 161838 L(L(x,y,z),x,L(x,y,z)) = L(T(x,x \ 1),y,z). [hyper(7088,a,67315,a,b,158808,a),rewrite([60(4),152557(3),67315(12),70971(11),89885(11),150510(7)]),flip(a)]. 161879 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(5306,a,158808,a)]. 161953 x * (L(x,y,z) * L(x \ (L(x,y,z) \ 1),u,w)) = (x * L(x,y,z)) \ L(x * L(x,y,z),u,w). [hyper(295,a,70526,a(flip),b,158808,a),rewrite([13654(2),13654(4)]),flip(a)]. 161977 L(x,y,z) * L(L(x,y,z) \ (x \ u),w,v5) = L(x,y,z) * L(x \ (L(x,y,z) \ u),w,v5). [hyper(5083,a,24474,a,b,158808,a(flip)),rewrite([13654(2),13654(4),24474(7),50(8)])]. 161998 (x * (L(x,y,z) * u)) / L(x,y,z) = (x * (x * u)) / x. [para(158808(a,1),147(a,1,1)),rewrite([6159(9),147(9,R)])]. 162035 a((x * y) * L(x,z,u),w,v5) = a(x * (L(x,z,u) * y),w,v5). [para(158808(a,1),12550(a,1,1)),flip(a)]. 162179 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(158808(a,2),79942(a,1,1,1,2)),rewrite([158808(4),161879(5),52(2)]),flip(a)]. 162239 a(L(R(x,y,y),z,u) * (L(x,y,y) * w),v5,v6) = a(L(x,y,y) * (L(L(x,y,y),z,u) * w),v5,v6). [para(158808(a,1),130749(a,1,1)),rewrite([131159(6),131144(6)]),flip(a)]. 162248 a(x * ((y * z) * L(y,u,w)),v5,v6) = a(x * (y * (L(y,u,w) * z)),v5,v6). [para(158808(a,1),46791(a,1,1,2)),flip(a)]. 162252 a(x,y,(z * u) * L(u,w,v5)) = a(x,y,u * (L(u,w,v5) * z)). [para(158808(a,1),136137(a,2,3))]. 162271 x * (L(x,y,z) * L(x \ 1,u,w)) = L(x,y,z) * (x \ L(x,u,w)). [para(69933(a,1),158808(a,1,2)),flip(a)]. 162681 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [para(51(a,1),161879(a,1,2,2))]. 162753 L(x,y,(z * u) * L(z,w,v5)) = L(x,y,z * (L(z,w,v5) * u)). [para(161879(a,1),85435(a,1,3,1))]. 162762 x * (L(x,y,z) \ T(L(x,y,z) * u,w)) = x * (u * K(L(x,y,z) * u,w)). [para(161879(a,1),97409(a,1,1)),rewrite([7726(5),162681(11)]),flip(a)]. 162773 T(x,T(y * z,L(y,u,w) * v5)) = T(x,T(z * y,v5)). [para(161879(a,1),121044(a,1,2,1)),rewrite([161998(10),27739(10),40430(9)])]. 162777 T(x,T(L(y,z,u) \ ((y * (L(y,z,u) * w)) / v5),v6)) = T(x,T((y * w) / v5,v6)). [para(161879(a,1),122622(a,1,2,1,1)),flip(a)]. 162818 (L(x,y,z) \ x) * L(L(x,y,z),u,w) = x * (L(x,y,z) \ L(L(x,y,z),u,w)). [back_rewrite(158639),rewrite([162681(5)]),flip(a)]. 162823 (L(x,y,z) \ 1) * (x * (L(x,y,z) \ u)) = x * ((L(x,y,z) * L(x,y,z)) \ u). [back_rewrite(118726),rewrite([162681(6)])]. 162842 (x / y) * (L(x / y,z,u) \ w) = (y \ x) * (L(y \ x,z,u) \ w). [back_rewrite(65807),rewrite([162681(5),162681(10)])]. 162844 T(x,T(y * (L(y,z,u) \ w),w)) = T(x,y * (L(y,z,u) \ w)). [back_rewrite(118552),rewrite([162773(7),118328(3)])]. 162846 L(L(x,y,z),u,w) * (L(x,y,z) \ x) = x * (L(x,y,z) \ L(L(x,y,z),u,w)). [back_rewrite(92674),rewrite([162818(10)])]. 162867 (x * y) / (x * (L(x,z,u) \ y)) = L(x,z,u). [hyper(6683,a,162681,a)]. 162882 (x \ 1) * (L(x \ 1,y,z) \ u) = x * (L(x,y,z) \ u). [hyper(5081,a,69321,a,b,162681,a),rewrite([157940(6),162681(10)]),flip(a)]. 162883 (x \ K(y,z)) * (L(x \ K(y,z),u,w) \ v5) = x * (L(x,u,w) \ v5). [hyper(5081,a,31938,a,b,162681,a),rewrite([158138(8),162681(14),162882(14)])]. 162891 T((x \ 1) \ 1,x * y) = T(x,x \ y). [hyper(7088,a,80800,a(flip),b,162681,a(flip)),rewrite([92230(3),69318(10),60881(10),64931(9),92217(8),71425(8)]),flip(a)]. 162897 (1 / x) * (L(x,y,z) \ x) = T(L(x,y,z) \ 1,x * x). [hyper(7088,a,162681,a(flip),b,62166,a),rewrite([22473(10),22924(7)]),flip(a)]. 162919 L(T(x,y),z,u) \ (x * w) = x * (L(T(x,y),z,u) \ w). [hyper(5083,a,162681,a(flip),b,8936,a),rewrite([6159(2),5754(5),9138(5),11208(4),60(6)]),flip(a)]. 162922 x * (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u. [para(51(a,1),162681(a,1,2)),flip(a)]. 162923 (x \ y) * (L(x \ y,z,u) \ x) = L(y / x,z,u) \ y. [para(53(a,1),162681(a,1,2)),rewrite([162842(8)]),flip(a)]. 162924 L(L(x,y,z),u,w) \ (L(x,u,w) * v5) = L(x,u,w) * (L(L(x,u,w),y,z) \ v5). [para(64(a,1),162681(a,1,1))]. 162930 x * (L(T(x,y),z,u) \ y) = L(x,z,u) \ (y * x). [para(194(a,2),162681(a,2,2)),rewrite([6174(3),410(3),60(5)]),flip(a)]. 162933 x * (L(T(x,y),z,u) \ ((x * y) / x)) = x * (L(x,z,u) \ y). [para(203(a,1),162681(a,1,2)),rewrite([162919(6),118476(11)])]. 162937 x * (L(T(x,y),z,u) \ 1) = L(T(x,y),z,u) \ x. [para(225(a,2),162681(a,2,2)),rewrite([5537(3),41109(4),105121(4),96610(3),105419(4),60(5)]),flip(a)]. 162948 x * (L(x,y,z) \ T(u,x)) = L(x,y,z) \ (u * x). [para(410(a,1),162681(a,1,2)),flip(a)]. 162956 (L(x,y,z) \ x) * K(u,w) = x * (L(x,y,z) \ K(u,w)). [para(10078(a,2),162681(a,1,2)),rewrite([10078(4),41109(4)])]. 162960 (L(x,y,z) \ x) * a(u,w,a(v5,v6,v7)) = x * (L(x,y,z) \ a(u,w,a(v5,v6,v7))). [para(12981(a,2),162681(a,2,2)),rewrite([16922(5),12981(11)])]. 162969 L(a(x,y,z),u,w) \ (v5 * a(x,y,z)) = a(x,y,z) * (L(a(x,y,z),u,w) \ v5). [para(1143(a,1),162681(a,1,2))]. 162970 L(x,y,z) \ (a(u,w,v5) * x) = x * (L(x,y,z) \ a(u,w,v5)). [para(1143(a,2),162681(a,1,2))]. 162979 L(L(x,y,z),u,w) * (x * (L(x,y,z) \ v5)) = x * (L(L(x,y,z),u,w) * (L(x,y,z) \ v5)). [para(162681(a,1),18710(a,1,1)),rewrite([162681(6),24474(10),50(6),18710(7),162681(11)]),flip(a)]. 163015 L(x,y,z) \ (K(u,w) * (x * v5)) = x * (K(u,w) * (L(x,y,z) \ v5)). [para(162681(a,1),41963(a,1,2)),rewrite([6174(2),10794(6)]),flip(a)]. 163040 L(L(x \ 1,y,z) \ u,x,x) = x * (x * (L(x,y,z) \ u)). [para(162681(a,2),61613(a,1,2)),rewrite([162681(7),162882(7)]),flip(a)]. 163041 x * (L(x,y,z) \ ((x \ 1) * u)) = L(x,y,z) \ L(u,x,x). [para(61613(a,1),162681(a,1,2)),flip(a)]. 163043 (L(x,y,z) \ x) * a(u,a(w,v5,v6),v7) = x * (L(x,y,z) \ a(u,a(w,v5,v6),v7)). [para(62164(a,2),162681(a,2,2)),rewrite([70965(5),62164(11)])]. 163050 L(x,y,z) * (L(L(x,y,z),u,w) \ (x \ 1)) = L(L(x,y,z),u,w) \ (x \ L(x,y,z)). [para(63806(a,1),162681(a,1,2)),flip(a)]. 163055 (L(x,y,z) \ x) * (u * u) = x * (L(x,y,z) \ (u * u)). [para(62166(a,2),162681(a,2,2)),rewrite([70971(4),62166(9)])]. 163060 (L(x,y,z) \ (L(x,y,z) \ x)) * u = x * ((L(x,y,z) * L(x,y,z)) \ u). [para(162681(a,1),68332(a,2,2)),rewrite([159145(6),162823(12)])]. 163078 (x \ 1) * (x \ (L(x \ 1,y,z) \ u)) = K(x,x \ 1) * (L(x,y,z) \ u). [para(162681(a,2),80946(a,1,2)),rewrite([162681(8),162882(8),162681(5),118680(5)]),flip(a)]. 163100 L(x \ 1,y,z) \ (x * L(1 / x,u,w)) = x * (L(x,y,z) \ L(x,u,w)). [para(98289(a,1),162681(a,1,2)),rewrite([162882(16)])]. 163141 x * (L(x,y,z) \ (1 / x)) = 1 / L(x,y,z). [para(64657(a,1),162681(a,1,2)),rewrite([65121(6),118476(14)]),flip(a)]. 163148 a(L(x,y,z) \ x,u,w) = a(x * L(x,y,z),u,w). [para(162681(a,2),46639(a,1,1)),rewrite([49(3),13654(5)])]. 163152 a(x,L(y,z,u) \ y,w) = a(x,y * L(y,z,u),w). [para(162681(a,2),50787(a,1,2)),rewrite([49(3)])]. 163178 x * (L(x,y,z) \ L(x \ 1,u,w)) = L(x,y,z) \ (x \ L(x,u,w)). [para(69933(a,1),162681(a,1,2)),flip(a)]. 163194 L(L(x,y,z),u,w) * (x * v5) = x * (L(L(x,y,z),u,w) * v5). [para(162681(a,1),158113(a,1,2,2)),rewrite([162979(7),158808(8),158113(7)]),flip(a)]. 163220 x * (L(x,y,z) \ K(u,x)) = L(T(x,u),y,z) \ x. [back_rewrite(118547),rewrite([162937(5)]),flip(a)]. 163221 (x / L(T(y,x),z,u)) * y = L(y,z,u) \ (x * y). [back_rewrite(118538),rewrite([162948(8)])]. 163227 ((L(x,y,z) \ x) \ 1) \ K(u,w) = x * (L(x,y,z) \ K(u,w)). [back_rewrite(128800),rewrite([162956(10)])]. 163415 (x * (y * (z * x))) / ((y * z) * x) = L(x,z,y). [para(11664(a,1),162867(a,1,2,2)),rewrite([410(6)])]. 163420 ((x * (L(x,y,z) \ u)) \ (x * u)) \ (x * u) = T(x * (L(x,y,z) \ u),x). [para(162867(a,1),3334(a,1,2)),rewrite([6174(5),411(13)]),flip(a)]. 163453 L(L(x,y,z) \ u,x,(x * (L(x,y,z) \ u)) \ (x * u)) = (x * L(x,y,z)) \ (x * u). [para(162867(a,1),26455(a,2,1,1)),rewrite([13654(10)])]. 163518 L(x,y,(z * (L(z,u,w) \ v5)) \ (z * v5)) = L(x,y,L(z,u,w)). [para(162867(a,1),26402(a,1,3)),flip(a)]. 163572 L(L(x,y,z) \ u,x,L(x,y,z)) = (x * L(x,y,z)) \ (x * u). [back_rewrite(163453),rewrite([163518(8)])]. 163588 (x * (L(L(x,y,z),u,w) \ v5)) / x = v5 / L(L(x,y,z),u,w). [para(162924(a,2),147(a,1,1)),rewrite([162924(5),118304(7),6159(11),147(11,R)]),flip(a)]. 163614 L(T(x,y),z,u) * (L(L(T(x,y),z,u),w,v5) \ v6) = L(x,z,u) * (L(L(x,z,u),w,v5) \ v6). [para(8936(a,2),162924(a,2,2)),rewrite([162924(5),6159(9),6159(8),60(10),60(9),18820(13)]),flip(a)]. 163644 L(L(x,y,z),u,w) \ K(x,x \ 1) = 1 / L(L(x,u,w),y,z). [para(1816(a,1),162924(a,1,2)),rewrite([6159(7),6329(6),163141(14)])]. 163669 L(x,y,(z * u) * L(u,w,v5)) = L(x,y,u * (z * L(u,w,v5))). [para(251(a,1),162753(a,1,3,1)),rewrite([51469(5),25262(6),6425(8),9669(9),25262(10)])]. 163725 L(x,y,z \ (u / w)) = L(x,y,z \ (w \ u)). [para(95823(a,1),162753(a,1,3,1)),rewrite([5678(6),11774(6),9477(6),101298(5),12075(5),5678(6),95823(9),410(9),26403(8)]),flip(a)]. 163742 a((x \ (y / z)) * u,w,v5) = a((x \ (z \ y)) * u,w,v5). [back_rewrite(134571),rewrite([163725(3),96376(7)]),flip(a)]. 163753 a(x,(y \ (z / u)) * w,v5) = a(x,(y \ (u \ z)) * w,v5). [back_rewrite(98114),rewrite([163725(4),77147(6),13927(6),14777(4)]),flip(a)]. 163835 L(x,y,a(z,u,w) * (v5 * L(a(z,u,w),v6,v7))) = L(x,y,v5 * (a(z,u,w) * L(a(z,u,w),v6,v7))). [para(1143(a,1),163669(a,2,3)),rewrite([163669(6),13063(12),13654(10)])]. 164060 a(x,y,L(z \ a(a(u,w,v5),v6,v7),v8,v9)) = a(x,y,L(z,v8,v9)). [hyper(295,a,22365,a,b,158417,a),rewrite([86937(6),66271(5)])]. 164061 a(x,y,L(L(z,u,w),v5,v6)) = a(x,y,L(L(z,v5,v6),u,w)). [para(64(a,1),158417(a,2,3)),rewrite([158417(5)])]. 164076 a(x,y,L(T(z,u) \ w,v5,v6)) = a(x,y,L(z \ w,v5,v6)). [para(12020(a,2),158417(a,1,3,1)),rewrite([49(4),158460(5)]),flip(a)]. 164080 a(x,y,L(z \ u,z \ u,z)) = a(x,y,u \ z). [para(60487(a,1),158417(a,1,3)),rewrite([49(2)]),flip(a)]. 164120 a(x,y,L(L(T(z,u),w,v5),v6,v7)) = a(x,y,L(L(z,v6,v7),w,v5)). [hyper(5081,a,13983,a,b,164061,a),rewrite([60(3),60(2)])]. 164205 T(x,x * a(y,z,u)) = x. [hyper(7088,a,15015,a,b,159089,a),rewrite([3334(5),50(4),4773(3),5524(10),5524(11),25958(11),57518(11),33129(11),70(5),49(5)])]. 164271 (x * (a(y,z,u) * x)) / x = x * a(y,z,u). [hyper(5083,a,15015,a,b,159089,a),rewrite([5524(3),5524(4),25958(4),57518(4),50(4)]),flip(a)]. 164685 L(x,y,z) * (L(x,y,z) / x) = L(x,y,z) * (x \ L(x,y,z)). [para(70237(a,1),159089(a,1,2,1,2)),rewrite([18753(7),28057(10),28083(10),161838(8),132426(12),71800(12)])]. 164692 a(x,y,(z * (L(z,u,z) * u)) * w) = a(x,y,L(u,z,z) * w). [para(159089(a,1),72932(a,2,3,1)),rewrite([72932(8),72868(6),136334(4)]),flip(a)]. 164822 a(x,y,z * (u * (w * u))) = a(x,y,L(w,u,u) * z). [para(159089(a,1),136137(a,1,3,1)),rewrite([164692(5),53(7)]),flip(a)]. 164850 x * (L(x \ 1,y,z) * L(1 / x,y,z)) = L(x,y,z) * (x \ L(x \ 1,y,z)). [para(69933(a,1),159089(a,1,2,1,2)),rewrite([161757(9),160116(13),164685(10),70241(9),161757(6),83591(16),148363(15),150599(16),150597(16),161838(12),98306(14),31391(14)]),flip(a)]. 164950 (x * (T(T(x,y),y) * a(z,u,w))) / x = T(T(x,y),y) * a(z,u,w). [hyper(5142,a,164271,a(flip),b,42661,a),rewrite([9510(5),7726(5),142808(5),8597(5),142990(9)]),flip(a)]. 164969 a((a(x,y,z) * u) \ w,v5,v6) = a((u * a(x,y,z)) \ w,v5,v6). [para(164271(a,1),13835(a,1,1,1)),rewrite([50(8)]),flip(a)]. 164989 K(x,y) * ((T(T(x,y),y) * a(z,u,w)) \ v5) = (T(x,y) * a(z,u,w)) \ v5. [para(164271(a,1),43188(a,2,1)),rewrite([142990(6),164950(7)])]. 165016 (T(x,y) * a(z,u,w)) \ v5 = (a(z,u,w) * T(x,y)) \ v5. [para(164271(a,1),105247(a,1,1,1)),rewrite([152524(4),142990(10),50(11),164989(11)]),flip(a)]. 165195 a(x * (L(y,z,u) \ y),w,v5) = a(x * (y * L(y,z,u)),w,v5). [para(162937(a,1),13792(a,2,1,2)),rewrite([70150(9),26653(4),27438(5),158896(5),26458(4),159118(5),26471(7),24476(5),13816(9)]),flip(a)]. 165220 L(x,L(y,z,u) \ y,w) = L(x,y * L(y,z,u),w). [para(162937(a,1),25426(a,1,2)),rewrite([69419(8),27309(6),31113(4),78924(5),77943(11),27278(9),93346(7),25426(8)])]. 165253 a(x * ((L(y,z,u) \ y) * w),v5,v6) = a(x * ((y * L(y,z,u)) * w),v5,v6). [para(162937(a,1),46302(a,1,1,2,1)),rewrite([96887(8),46722(7),46722(6),50849(14),47264(12),47264(11)])]. 165279 L((L(T(x,y),z,u) \ x) \ w,x * L(x,z,u),L(x,z,u)) = L(T(x,y),z,u) * (x \ w). [para(162937(a,2),60487(a,1,1,1)),rewrite([162937(5),26400(10),27309(9),165220(8),159391(12)])]. 165285 a(x,y,L(z,u,w) \ z) = a(x,y,z * L(z,u,w)). [para(162937(a,1),72848(a,2,3)),rewrite([78011(8),64112(5),99545(4),72892(3),14969(7)]),flip(a)]. 165286 a(x,y,(L(z,u,w) \ z) * v5) = a(x,y,(z * L(z,u,w)) * v5). [para(162937(a,1),72932(a,1,3,1)),rewrite([135974(9),31113(6),51(5),73789(13),136579(11),158428(10)])]. 165303 L(x,y,L(z,u,w) \ z) = L(x,y,z * L(z,u,w)). [para(162937(a,1),83104(a,2,3)),rewrite([73507(8),85875(6),98289(4),83236(5),28467(7)]),flip(a)]. 165309 L(x,y,z * (L(u,w,v5) \ u)) = L(x,y,z * (u * L(u,w,v5))). [para(162937(a,1),85452(a,2,3,2)),rewrite([31850(6),85799(7),85886(5),101325(9)]),flip(a)]. 165383 a(x,y,z * (L(T(u,w),v5,v6) \ u)) = a(x,y,(u * L(u,v5,v6)) * z). [para(162937(a,1),136137(a,2,3,2)),rewrite([73040(7),86904(3),136579(5)]),flip(a)]. 165470 a((L(x,y,z) \ x) * u,w,v5) = a((x * L(x,y,z)) * u,w,v5). [para(6(a,1),165195(a,1,1)),rewrite([12650(6),6(9),12650(10)])]. 165537 L(x,y * L(y,z,u),y * L(y,z,u)) / (((L(y,z,u) \ y) \ 1) * x) = L(y,z,u) \ y. [hyper(5142,a,165303,a(flip),b,61613,a),rewrite([165220(5)])]. 165538 (L(x,y,z) \ x) \ L(u,x * L(x,y,z),x * L(x,y,z)) = ((L(x,y,z) \ x) \ 1) * u. [hyper(5083,a,165303,a(flip),b,61613,a),rewrite([165220(7)])]. 165567 L(x,y,z * L(z,u,u)) = L(x,y,a(u,u,z)). [para(61613(a,2),165303(a,1,3,1)),rewrite([61613(4),26307(2)]),flip(a)]. 165631 a(x,y,a(z * u,z,u)) = a(x,y,a(z,z,u)). [para(61613(a,2),165285(a,1,3,1)),rewrite([61613(4),26307(2),136645(5)]),flip(a)]. 165645 a(x,y,z * L(z,u,u)) = a(x,y,a(u,u,z)). [back_rewrite(136645),rewrite([165631(6)])]. 165646 (L(x,y,z) \ 1) \ (L(x,y,z) \ x) = T(x,x \ 1). [hyper(18642,a,159097,a),rewrite([137750(4)]),flip(a)]. 165661 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(5306,a,159097,a)]. 165676 x \ (K(y,z) * (L(x,u,w) \ x)) = L(x,u,w) \ K(y,z). [hyper(5083,a,44061,a,b,159097,a),rewrite([26653(7),7726(6),5739(6),27503(9),43688(10),60(10),9760(9),5784(8),25190(5),91483(4),11961(5),27503(10),49(9)])]. 165684 L(x \ 1,y,z) \ (x \ 1) = L(x,y,z) \ x. [hyper(295,a,69321,a,b,159097,a),rewrite([157940(7),159097(4)]),flip(a)]. 165686 L(x \ K(y,z),u,w) \ (x \ K(y,z)) = L(x,u,w) \ x. [hyper(295,a,31938,a,b,159097,a),rewrite([158138(9),159097(8),165684(12)])]. 165708 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(5142,a,159097,a(flip),b,118328,a)]. 165769 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ u,w) = x * (L(x,y,z) \ T(L(x,y,z) * (x \ u),w)). [para(159097(a,1),255(a,1,1)),rewrite([159097(6),219(17)])]. 165809 (x * (L(x,y,z) \ K(u,w))) \ v5 = K(w,u) * ((L(x,y,z) \ x) \ v5). [para(159097(a,1),12013(a,2,2,1)),rewrite([31850(5)])]. 165811 (L(x,y,z) \ x) * L(u,x,L(x,y,z)) = x * ((L(x,y,z) \ 1) * u). [para(159097(a,1),380(a,1,1)),rewrite([28083(6),150510(4)])]. 165817 (x \ K(y,z)) * (((T(z,y) * x) \ z) \ 1) = ((T(z,y) * x) \ z) \ (x \ K(y,z)). [para(25395(a,1),159097(a,1,2,1)),rewrite([25395(11)])]. 165823 (L(x,y,z) \ x) * a(a(u,w,v5),v6,v7) = x * (L(x,y,z) \ a(a(u,w,v5),v6,v7)). [para(159097(a,1),7733(a,1,1)),rewrite([66271(11)])]. 165827 L((L(x,y,z) \ 1) \ u,x,L(x,y,z)) = (L(x,y,z) \ x) \ (x * u). [para(159097(a,1),21093(a,1,2,1)),rewrite([60848(8),324(7),91472(6),91470(4),28083(12),150510(10)]),flip(a)]. 165862 L(x,x,y) \ x = ((y * x) \ y) \ (x \ 1). [para(12004(a,1),159097(a,2,1)),rewrite([159097(8),165684(6)])]. 165872 L((L(x,y,z) \ x) \ u,x * L(x,y,z),L(x,y,z)) = (u / x) * L(x,y,z). [para(159097(a,2),60487(a,1,1,1)),rewrite([159097(4),165220(7),158527(10)])]. 165878 (x \ 1) \ (L(x,y,z) \ x) = (x * x) * (L(x,y,z) \ 1). [para(159097(a,1),67715(a,1,2))]. 165902 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = R(1 / x,x,L(x,y,z) \ 1). [para(159097(a,1),94500(a,2,2)),rewrite([91470(12)]),flip(a)]. 165907 R(x,y,L(y,z,u) \ 1) * (L(y,z,u) \ y) = (x * y) * (L(y,z,u) \ 1). [para(159097(a,1),401(a,1,2))]. 165922 a(x * (y * (z * (L(z,u,w) \ z))),v5,v6) = a(x * (y * L(L(z,u,w),z,z)),v5,v6). [para(159097(a,1),130753(a,1,1,2,2,2)),rewrite([131115(13)])]. 165941 T(L(x,y,z) \ 1,x * x) = L(L(x,y,z) \ 1,x,x). [para(159097(a,1),153161(a,1,1,2,1)),rewrite([91473(6),49(5),159097(10),91472(9),162897(9)]),flip(a)]. 165947 x * (L(x,y,z) * (L(x,u,w) \ 1)) = L(x,y,z) * (L(x,u,w) \ x). [para(159097(a,1),158808(a,1,2)),flip(a)]. 165983 (1 / x) * (L(x,y,z) \ x) = L(L(x,y,z) \ 1,x,x). [back_rewrite(162897),rewrite([165941(10)])]. 165986 (x * x) * (L(x,y,z) \ 1) = L(x \ 1,y,z) \ 1. [hyper(295,a,68073,a,b,165661,a),rewrite([165684(7),165661(4)])]. 166074 (1 / x) * (L(x,y,z) \ 1) = L(x,y,z) \ (x \ 1). [para(165661(a,1),61780(a,1,2)),rewrite([99084(10)])]. 166088 L(x,L(x,y,z),L(x,y,z)) = T(x,x \ 1). [para(165661(a,1),28090(a,1,2)),rewrite([28083(5),165708(7),1816(8),6159(8),6329(7),5754(7),64714(6),168(7)])]. 166096 (x * x) * (L(1 / x,y,z) \ (1 / x)) = x * (L(1 / x,y,z) \ 1). [para(165661(a,1),81065(a,1,2)),flip(a)]. 166109 T(x * y,L(T(x,y),z,u) \ 1) = T(x * y,L(x,z,u) \ 1). [para(165661(a,1),111931(a,1,2)),rewrite([96716(11),165661(10)])]. 166116 (x \ a(y,y,x)) * K(z,u) = L(x,y,y) \ K(z,u). [para(120583(a,2),165661(a,1,2,1)),rewrite([120583(6),26307(8),13929(5),11961(4),43754(4),27503(9),49(8)])]. 166133 T(L(a(x,y,z),u,w) \ 1,K(v5,v6)) = L(a(x,y,z),u,w) \ 1. [para(165661(a,1),124870(a,2,1)),rewrite([91472(7),165661(6)]),flip(a)]. 166136 x * L(x \ (L(x,y,z) \ 1),u,w) = x \ L(L(x,y,z) \ x,u,w). [para(165661(a,1),28563(a,1,2,1,2))]. 166142 L(x \ 1,y,z) * (L(x \ 1,u,w) \ 1) = L(x,y,z) * (L(x,u,w) \ 1). [para(165661(a,1),158007(a,1,2)),rewrite([165684(16),165661(13)])]. 166145 (x \ 1) \ (L(x,y,z) \ x) = L(x \ 1,y,z) \ 1. [back_rewrite(165878),rewrite([165986(10)])]. 166163 (x \ (y * z)) * ((x \ (z * y)) \ u) = K(y,T(z,x)) * u. [hyper(270,a,145965,a,b,41157,a),rewrite([27834(10),36101(10),3545(9)])]. 166695 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(5083,a,166163,a(flip),b,28754,a(flip)),rewrite([561(4),28851(10),112973(11),50(12)])]. 167131 (x \ y) * (K(z,z \ y) * u) = (x \ (z * (y / z))) * u. [para(145694(a,1),166163(a,1,2)),rewrite([51(2),43723(11),76210(8),238(7),197(8)])]. 167582 (x \ y) * (a(z,u,w) * K(v5,v5 \ y)) = (x \ (v5 * (y / v5))) * a(z,u,w). [para(1143(a,2),167131(a,1,2))]. 168168 K(x,T(y,z)) * (K(y,T(x,u)) * w) = K(x,K(y,u * z)) * w. [para(24790(a,1),166163(a,1,1)),rewrite([7726(6),50(7),12023(6),7724(7),38428(6),7197(10),73(9)])]. 168463 T(x,a(y,a(z,u,w),v5) \ v6) = T(x,v6). [hyper(5083,a,62478,a,b,135397,a(flip)),rewrite([5535(11),62478(9),29501(7),58(8)])]. 168476 (x * y) \ (z * (y * x)) = K(y,x) * T(z,y * x). [para(55(a,1),135397(a,1,2,1,2)),rewrite([5538(4),55(7)])]. 168504 x \ (a(y,a(z,u,w),v5) * v6) = (x \ v6) * a(y,a(z,u,w),v5). [para(5529(a,1),135397(a,1,2,1)),rewrite([547(8)])]. 168527 (x \ (y \ z)) * T(y,y \ z) = (x \ (z / y)) * y. [para(3334(a,2),135397(a,2,2)),rewrite([145415(5),50(5),3334(7)]),flip(a)]. 168538 (x * ((a(y,z,u) \ w) * T(v5,w))) * a(y,z,u) = a(y,z,u) * (x * ((a(y,z,u) \ w) * T(v5,w))). [para(135397(a,1),19228(a,1,1,2)),rewrite([135397(15)])]. 168573 L(x,y,((z / u) \ w) * v5) = L(x,y,((u \ z) \ w) * v5). [para(135397(a,1),42394(a,1,3)),rewrite([83724(5),26402(9),28029(9),135397(11),83724(9)])]. 168605 T(x,y \ (L(z,u \ y,u) \ (u * w))) = T(x,T(z,y) \ ((u \ y) \ w)). [para(135397(a,1),60848(a,1,2,1)),rewrite([12024(5),12024(11)]),flip(a)]. 168622 a(x,((y \ 1) \ z) * u,w) = a(x,(y \ z) * u,w). [para(135397(a,1),68852(a,1,2)),rewrite([14782(6),26414(11),68875(9),135397(9),14782(9)])]. 168790 (a(x,a(y,z,u),w) \ v5) \ v6 = (v5 \ v6) * a(x,a(y,z,u),w). [back_rewrite(62651),rewrite([168504(8)])]. 168799 R(x,x \ (y \ z),y) \ z = (x \ (z / y)) * y. [back_rewrite(145405),rewrite([168527(9)])]. 168807 L(x,y,z * L(u / w,v5,v6)) = L(x,y,z * L(w \ u,v5,v6)). [back_rewrite(93775),rewrite([168573(8),58(4),46365(6)])]. 168970 R(x,x \ (y \ 1),y) \ a(z,u,a(w,v5,v6)) = a(z,u,a(w,v5,v6)) * ((x \ (1 / y)) * y). [para(168799(a,1),12981(a,1,2)),flip(a)]. 169249 L(x,y,z * L(u \ K(w,v5),v6,v7)) = L(x,y,z * L(u,v6,v7)). [para(69015(a,2),168807(a,2,3,2,1)),rewrite([71386(4),83657(5),69015(8),85389(10)]),flip(a)]. 169254 L(x,y,z * L((u * (L(u,w,v5) \ v6)) \ (u * v6),v7,v8)) = L(x,y,z * L(L(u,w,v5),v7,v8)). [para(162867(a,1),168807(a,1,3,2,1)),flip(a)]. 169711 a(x,y * ((z \ 1) \ u),w) = a(x,(z \ u) * y,w). [hyper(295,a,14794,a,b,168622,a)]. 169742 a(x,(y \ L(y,z,u)) * w,v5) = a(x,(y * L(y,z,u)) * w,v5). [para(63806(a,2),168622(a,2,2,1)),rewrite([81670(4),63806(8)]),flip(a)]. 169786 (x * x) * (R(1 / x,y,z) * (x \ u)) = R(x \ 1,y,z) * ((x \ 1) \ u). [hyper(295,a,68073,a,b,62852,a),rewrite([69868(6)])]. 169853 T(x,y) \ R(T(x,y),z,u) = x \ R(x,z,u). [para(225(a,1),62852(a,2,2)),rewrite([49(5),151733(9)])]. 169908 (x \ R(x,y,z)) * a(u,a(w,v5,v6),v7) = R(x,y,z) * (x \ a(u,a(w,v5,v6),v7)). [para(62164(a,2),62852(a,2,2)),rewrite([70965(5),62164(11)])]. 169910 (1 / x) * (R(x,y,z) * (x \ u)) = ((x * x) \ R(x,y,z)) * u. [para(62852(a,1),61780(a,1,2)),rewrite([22473(10)])]. 169911 R(x,y,z) * (x \ (1 / x)) = (x * x) \ R(x,y,z). [para(62160(a,2),62852(a,2,2)),rewrite([102897(4),61822(5),62160(9)]),flip(a)]. 169913 a(((x \ y) * R(x \ 1,z,u)) * w,v5,v6) = a(w * (R(1 / x,z,u) * (x \ y)),v5,v6). [para(62852(a,1),68916(a,1,1,2)),rewrite([68917(9),69868(12)])]. 169922 (1 / x) * R(x,y,z) = x \ R(x,y,z). [para(69340(a,1),62852(a,2,2)),rewrite([49(11),91771(10),151404(8),62944(4),151853(10)]),flip(a)]. 169926 L(R(x,y,z) * (x \ u),x,x) = (1 / x) * (R(x,y,z) * u). [para(62852(a,1),60426(a,1,1))]. 170025 R(x,y,z) * ((x \ 1) * (x \ u)) = ((x * x) \ R(x,y,z)) * u. [back_rewrite(156696),rewrite([169910(12)])]. 170028 (x \ 1) * (x \ R((x \ 1) \ 1,y,z)) = (x * x) \ R(x,y,z). [back_rewrite(151848),rewrite([169911(14)])]. 170029 x \ R(x,y,x) = a(x,y,x). [back_rewrite(154008),rewrite([169922(4)])]. 170032 (x * y) \ R(x * y,x,y) = a(x * y,x,y). [back_rewrite(64732),rewrite([169922(6)])]. 170043 K(x,y) * K(x * y,x) = a(x,y,x). [back_rewrite(9033),rewrite([170029(6)])]. 170081 L(a(x,a(y,z,u),w) \ v5,v6,v7) * a(x,a(y,z,u),w) = L(v5,v6,v7). [hyper(295,a,24267,a(flip),b,168504,a),rewrite([5535(5),62626(8),29501(7),29501(6),56(8)]),flip(a)]. 170184 a((x \ y) * (a(z,a(u,w,v5),v6) * x),v7,v8) = a(a(z,a(u,w,v5),v6) * y,v7,v8). [para(168504(a,1),12556(a,1,1,1)),rewrite([7731(5)])]. 170187 (x \ (y * (a(z,a(u,w,v5),v6) \ v7))) * a(z,a(u,w,v5),v6) = x \ (y * v7). [para(13288(a,2),168504(a,1,2)),rewrite([168463(6),547(3),75577(6),19412(7),6706(5),75577(6)]),flip(a)]. 170202 L(x,y * a(z,a(u,w,v5),v6),v7) = L(x,y,v7). [para(168504(a,1),25603(a,1,2)),rewrite([25426(6),83672(8)])]. 170333 x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) = L(u,x * L(x,y,z),x). [hyper(295,a,162681,a(flip),b,381,a),rewrite([82976(9)])]. 170335 L(x,y,z) * (x \ ((L(x,y,z) \ x) * u)) = L(u,x * L(x,y,z),L(x,y,z)). [hyper(295,a,158527,a(flip),b,381,a),rewrite([159330(6),165220(10)])]. 170349 L(x,y,z) \ L(u,x * L(x,y,z),L(x,y,z)) = x \ ((L(x,y,z) \ x) * u). [hyper(7088,a,381,a(flip),b,158527,a(flip)),rewrite([6174(6),412(5),165220(9)]),flip(a)]. 170410 (x \ y) * ((y \ x) * (y \ x)) = L(y \ x,y \ x,y). [para(618(a,2),381(a,1,2,2)),rewrite([618(5),70971(5)])]. 170542 R(x,y,y) \ ((x * y) * ((y \ 1) * z)) = L(z,y,x * y). [para(123722(a,1),381(a,1,2,2,1)),rewrite([123722(10),28083(11)])]. 170557 L(1 / (x \ y),x \ y,x) = ((y \ x) \ 1) \ 1. [para(1816(a,1),381(a,1,2,2)),rewrite([60845(5),49(3),41109(5),71642(5)]),flip(a)]. 170714 a(a(x,y,z),u,w) * (v5 \ (1 / v5)) = (v5 \ 1) * (v5 \ a(a(x,y,z),u,w)). [hyper(5083,a,170410,a(flip),b,28754,a(flip)),rewrite([113618(7),60426(4),70966(6),68101(6),28851(16),28992(15),70275(12)]),flip(a)]. 170761 ((x \ y) * (x \ y)) \ ((y \ x) \ z) = L(x \ y,x \ y,x) \ z. [para(170410(a,1),11892(a,2,1)),rewrite([321(11)])]. 170769 a(x,L(y \ z,y \ z,y),u) = a(x,z \ y,u). [para(170410(a,1),13932(a,2,2)),rewrite([13980(7),13927(3)]),flip(a)]. 170825 (x \ y) * (L(x \ y,x \ y,x) \ (x \ y)) = 1 / (y \ x). [para(170410(a,1),57973(a,2,1)),rewrite([89311(10),11965(11),68739(10),60845(6),49(4),225(5,R),115269(5),162681(10)]),flip(a)]. 170840 (1 / x) / (y * y) = 1 / ((y * y) * x). [para(67094(a,1),170410(a,1,1)),rewrite([69953(11),70258(11),5(10),51(9),51(8),67457(13),60426(9),71999(10)]),flip(a)]. 170899 ((x \ y) * (y \ x)) \ L(x \ y,x \ y,x) = L(((x \ y) \ 1) \ 1,x \ y,y \ x). [para(170410(a,1),143267(a,1,2)),rewrite([2045(12),71642(12)])]. 170900 L(x \ y,x \ y,x) \ L(L(x \ y,x \ y,x),z,u) = (y \ x) \ L(y \ x,z,u). [para(170410(a,1),70526(a,2,1)),rewrite([170761(11),25954(11),165986(10),60487(6),49(3),69933(6),170410(12)]),flip(a)]. 170916 (x * L(x,y,z)) \ x = 1 / L(x,y,z). [para(165661(a,1),170410(a,1,2,1)),rewrite([91467(3),165661(7),62160(8),51(7),165661(6),165661(9),28083(10),150510(8),163572(8),49(7)]),flip(a)]. 171612 x \ (y * (z * T(z,u))) = (x \ y) * (z * T(z,u)). [para(7763(a,1),70953(a,1,2,2)),rewrite([1599(2),41109(7),7(9),7763(8),1599(7)])]. 171670 x \ (y * (z * (u \ (1 / u)))) = (x \ (y * z)) * (u \ (1 / u)). [para(31938(a,2),70953(a,1,2,2,2)),rewrite([31938(7),62160(5),62160(13)])]. 171722 x \ (y * L(y \ (z * z),u,w)) = (x \ (y \ L(y,u,w))) * (z * z). [para(63806(a,1),70953(a,2,1,2)),rewrite([62166(5),150375(4)])]. 171769 T((x * (y * (z * z))) / u,(u \ (x * y)) * (z * z)) = (x * (y * (z * z))) / u. [para(70953(a,1),31412(a,1,2))]. 171809 x \ (y * (L(y,z,u) \ (w * w))) = (x \ (L(y,z,u) \ y)) * (w * w). [para(159097(a,1),70953(a,2,1,2)),rewrite([62166(5)])]. 171980 x \ (y * (z * (u * K(w,v5)))) = (x \ (y * (z * u))) * K(w,v5). [para(7687(a,2),60873(a,1,2,2)),rewrite([10(2),48(5)])]. 171995 x \ (y * (K(z,u) * a(w,v5,v6))) = (x \ (y * a(w,v5,v6))) * K(z,u). [para(1143(a,1),60873(a,1,2,2))]. 172015 x \ (y * T(z * K(u,w),v5 * v5)) = (x \ (y * T(z,v5 * v5))) * K(u,w). [para(22936(a,2),60873(a,1,2,2)),rewrite([7726(5),24330(6),5678(4),41099(4)])]. 172022 (x \ (y * (z \ 1))) * K(u,w) = x \ (y * (z \ K(u,w))). [para(31850(a,1),60873(a,1,2,2)),flip(a)]. 172071 (x \ (y * (z \ u))) * K(u,w) = x \ (y * (z \ T(u,w))). [para(95539(a,1),60873(a,1,2,2)),flip(a)]. 172089 T((x * (y * K(z,u))) / w,(w \ (x * y)) * K(z,u)) = (x * (y * K(z,u))) / w. [para(60873(a,1),31412(a,1,2))]. 172127 x \ (y * (L(y,z,u) \ K(w,v5))) = (x \ (L(y,z,u) \ y)) * K(w,v5). [para(159097(a,1),60873(a,2,1,2)),rewrite([31850(5)])]. 172315 T((x * y) \ x,y * y) = L(1 / y,y,x). [hyper(7088,a,56,a(flip),b,70971,a(flip)),rewrite([25944(7),22924(6)])]. 172433 x \ ((y * y) * a(z,u,w)) = (x \ a(z,u,w)) * (y * y). [para(1143(a,1),70971(a,1,2))]. 172459 x \ (y * (z \ (1 / z))) = (x \ y) * (z \ (1 / z)). [para(31938(a,2),70971(a,1,2,2)),rewrite([31938(7),62160(5),62160(11)])]. 172460 ((x * (y * y)) / z) * (z * u) = (x / z) * (z * ((y * y) * u)). [para(70971(a,1),13287(a,1,1)),rewrite([70971(6),6(9),56946(8),13287(7)]),flip(a)]. 172512 (x \ (y \ T(z,u))) * K(z,u) = x \ (y \ T(T(z,u),u)). [para(96799(a,1),70971(a,1,2)),rewrite([119315(4),97354(10)]),flip(a)]. 172524 T((x * (y * y)) / z,(z \ x) * (y * y)) = (x * (y * y)) / z. [para(70971(a,1),31412(a,1,2))]. 172565 (x \ y) / (z * z) = x \ (y / (z * z)). [back_rewrite(111792),rewrite([172459(8),128949(9),11698(8),71999(5)])]. 172606 (x \ 1) \ (y / (x * x)) = T(x \ y,x \ (x \ 1)). [back_rewrite(80744),rewrite([172565(5)])]. 172759 T((x * K(y,z)) / u,(u \ x) * K(y,z)) = (x * K(y,z)) / u. [para(41109(a,1),31412(a,1,2))]. 172828 (x \ a(a(y,z,u),w,v5)) * (x \ L(v6,v7,v8)) = L((x \ a(a(y,z,u),w,v5)) * (x \ v6),v7,v8). [hyper(295,a,80946,a(flip),b,113577,a),rewrite([113565(7),70097(8),80946(14),68319(13),86937(14),7733(13),134873(13)])]. 172872 x \ (y * (z * (u * a(a(w,v5,v6),v7,v8)))) = a(a(w,v5,v6),v7,v8) * (x \ (y * (z * u))). [para(380(a,1),113577(a,1,2)),rewrite([380(11)])]. 172915 (x * x) \ R((x * x) * y,z,u) = x \ (x \ R(x * (x * y),z,u)). [hyper(5081,a,66988,a(flip),b,62675,a),rewrite([67094(5),67715(11),67717(11)])]. 172936 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(49(a,1),62675(a,1,2,2,1,2)),flip(a)]. 172975 (x \ a(y,z,a(u,w,v5))) * R((x \ a(y,z,a(u,w,v5))) \ v6,v7,v8) = x \ R(x * v6,v7,v8). [para(12908(a,2),62675(a,1,2,2,1)),rewrite([12908(8),19453(6),70732(8),7735(7),6592(6)]),flip(a)]. 173030 K(x,y \ R((y \ 1) \ z,u,w)) = K(x,y \ R(y * z,u,w)). [para(62675(a,2),91922(a,1,2)),rewrite([324(4),48(4)]),flip(a)]. 173053 x \ (y * R(y \ K(x,x \ 1),z,u)) = (x \ y) * R((x \ y) \ (1 / x),z,u). [para(1816(a,1),62675(a,1,2,2,1,2))]. 173105 ((x \ 1) \ y) * L(((x \ 1) \ y) \ z,u,w) = (x \ y) * L((x \ y) \ z,u,w). [hyper(295,a,68847,a,b,69930,a),rewrite([25944(8),22473(7),66364(6),50(3),69930(5)]),flip(a)]. 173150 R(x,y,z) \ (x * L(x \ u,w,v5)) = x \ (R(x,y,z) \ L(x * u,w,v5)). [hyper(5083,a,69930,a(flip),b,62943,a)]. 173157 T(x,y) \ L(x * z,u,w) = x * L(T(x,y) \ z,u,w). [hyper(5083,a,69930,a(flip),b,8936,a),rewrite([5754(5),9138(5),26458(4),9113(3)]),flip(a)]. 173188 R(x,y,z) \ L(x * R(x,y,z),u,w) = R(x,y,z) * L(R(x,y,z) \ x,u,w). [para(11009(a,1),69930(a,1,2,1))]. 173205 x \ L(a(y,z,u) * x,w,v5) = x * L(x \ a(y,z,u),w,v5). [para(1143(a,2),69930(a,1,2,1))]. 173269 L(x * L(x \ y,z,u),x,x) = x * L((x \ 1) * y,z,u). [para(69930(a,1),60809(a,1,1)),rewrite([70217(7)])]. 173270 T(x,L(y * z,u,w) \ (y * v5)) = T(x,y \ (L(z / y,u,w) \ v5)). [para(69930(a,1),60848(a,1,2,1)),rewrite([12024(5),12422(5)]),flip(a)]. 173278 L(x,y,z) * L(x \ (L(x,y,z) \ 1),u,w) = L(x,y,z) \ L(x \ L(x,y,z),u,w). [para(63806(a,1),69930(a,1,2,1)),rewrite([161977(12)]),flip(a)]. 173280 (x \ 1) \ L(x \ (y * y),z,u) = x * L(x \ (y * y),z,u). [para(62166(a,1),69930(a,1,2,1)),rewrite([70217(14)])]. 173294 (1 / x) \ L(x \ L(x,y,z),u,w) = (x \ 1) * L(x * L(x,y,z),u,w). [para(70237(a,1),69930(a,1,2,1)),rewrite([131774(14),81670(12)])]. 173301 (1 / x) * L(x * y,z,u) = x * L((x \ 1) * y,z,u). [para(69930(a,1),60426(a,1,1)),rewrite([173269(4)]),flip(a)]. 173314 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(81065(a,1),69930(a,1,2,1)),rewrite([81378(4)]),flip(a)]. 173323 L(x,y,L((1 / z) * u,w,v5)) = L(x,y,L(z * u,w,v5)). [para(69930(a,1),85435(a,1,3,1)),rewrite([85526(5),76136(3)])]. 173342 (x \ 1) * L(x * L(x,y,z),u,w) = x * L(x \ L(x,y,z),u,w). [para(98289(a,1),69930(a,1,2,1)),rewrite([149086(8),64245(6),70241(6),81670(10)]),flip(a)]. 173418 x \ L(L(x * y,z,u),w,v5) = x * L(L(x \ y,z,u),w,v5). [para(69930(a,1),28563(a,1,2,1,2)),rewrite([50(4)]),flip(a)]. 173480 (x * L(x,y,z)) \ L(x * L(x,y,z),u,w) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). [back_rewrite(161953),rewrite([173278(7)]),flip(a)]. 173491 L(x,y,L((K(z,u) / w) * v5,v6,v7)) = L(x,y,L(w * v5,v6,v7)). [back_rewrite(84964),rewrite([173323(10)])]. 173496 (1 / x) \ L(x \ L(x,y,z),u,w) = x * L(x \ L(x,y,z),u,w). [back_rewrite(173294),rewrite([173342(12)])]. 173509 (x \ L(x,y,z)) \ L(x \ L(x,y,z),u,w) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). [back_rewrite(144475),rewrite([173480(12)])]. 173531 1 / L(x * K(y,z),u,w) = K(z,y) / L(x,u,w). [hyper(295,a,22924,a(flip),b,95634,a),rewrite([27438(12),26458(11),56497(14),76374(13),75792(12),7726(12),77(11),49(10)])]. 173580 x \ L(K(y,z) * a(u,w,v5),v6,v7) = (x \ L(a(u,w,v5),v6,v7)) * K(y,z). [para(1143(a,1),95634(a,1,2,1))]. 173645 T(L(x * K(y,z),u,w) / v5,(v5 \ L(x,u,w)) * K(y,z)) = L(x * K(y,z),u,w) / v5. [para(95634(a,1),31412(a,1,2))]. 173665 T(L(x,y,z) \ K(u,w),x) = K(u,w) / L(x,y,z). [back_rewrite(106413),rewrite([173531(9)])]. 173671 (x * x) * (L(x,y,z) \ u) = L(x \ 1,y,z) \ u. [hyper(7088,a,28098,a,b,118328,a),rewrite([11562(7),163040(11),50(11),67715(10)]),flip(a)]. 173697 (x \ 1) * R(x \ 1,y,z) = x \ R(1 / x,y,z). [hyper(5081,a,11009,a,b,28098,a),rewrite([11009(6),65410(10),49(10)])]. 173698 (x * ((y \ 1) * z)) / T(x,y \ z) = (y \ 1) * z. [hyper(5081,a,706,a,b,28098,a),rewrite([92038(8),28098(9)])]. 173700 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(5081,a,6623,a(flip),b,28098,a),rewrite([75500(9)]),flip(a)]. 173792 T(x,L(y,z,z) \ (z * u)) = T(x,y \ ((z \ 1) \ u)). [para(28098(a,1),60848(a,1,2,1)),rewrite([12024(5)]),flip(a)]. 173801 (1 / x) * L(y,x,x) = L((x \ 1) * y,x,x). [para(28098(a,1),60426(a,1,1)),flip(a)]. 174004 (x \ R(1 / x,y,z)) \ ((x \ 1) * (R(x \ 1,y,z) * u)) = L(u,R(x \ 1,y,z),x). [para(173697(a,1),56(a,1,1)),rewrite([26414(18)])]. 174007 ((x * (y \ 1)) * R(y \ 1,z,u)) / (y \ R(1 / y,z,u)) = R(x,y \ 1,R(y \ 1,z,u)). [para(173697(a,1),57(a,1,2))]. 174008 (x \ 1) \ R(x,y,z) = x * R(x,y,z). [para(160(a,1),173697(a,2,2,1)),rewrite([340(4),340(4),64714(7),149(8),151741(9)]),flip(a)]. 174144 a(x * (y \ R(y,z,u)),w,v5) = a(x * (y * R(y,z,u)),w,v5). [para(173697(a,2),68916(a,1,1,2)),rewrite([173697(10),337(6),174008(4),337(8)]),flip(a)]. 174146 L(x,y \ R(y,z,u),w) = L(x,y * R(y,z,u),w). [para(173697(a,2),68875(a,1,2)),rewrite([173697(10),337(6),174008(4),337(7)]),flip(a)]. 174162 x * (L(x,x,x) * R(x,y,z)) = (x * x) * R(x,y,z). [para(173697(a,2),81194(a,1,2)),rewrite([173697(11),337(7),174008(5),158808(4),337(9)])]. 174165 L(x,y,z \ R(z,u,w)) = L(x,y,z * R(z,u,w)). [para(173697(a,2),83147(a,1,3)),rewrite([173697(10),337(6),174008(4),337(7)]),flip(a)]. 174168 L(x,y,z * (u \ R(u,w,v5))) = L(x,y,z * (u * R(u,w,v5))). [para(173697(a,2),85295(a,1,3,2)),rewrite([173697(10),337(6),174008(4),337(8)]),flip(a)]. 174217 a(x \ (y \ R(y,z,u)),w,v5) = a(x \ (y * R(y,z,u)),w,v5). [para(173697(a,2),96575(a,1,1,2)),rewrite([173697(10),337(6),174008(4),337(8)]),flip(a)]. 174230 L(x,R(y \ 1,z,u),y) = L(x,y,R(y \ 1,z,u)). [para(173697(a,1),143267(a,1,1)),rewrite([63041(11),174004(12),6332(10),948(9),48(6),28083(10)])]. 174245 a(x,(y \ R(y,z,u)) * w,v5) = a(x,(y * R(y,z,u)) * w,v5). [para(173697(a,2),168622(a,1,2,1)),rewrite([173697(10),337(6),174008(4),337(8)]),flip(a)]. 174346 K(x,y \ R(y,z,u)) = 1. [hyper(7049,a,151404,a(flip),b,173698,a),rewrite([151404(8),62944(4),62944(15),140421(14),173030(7),49(2),96264(6),49(5)])]. 174405 ((x \ 1) * y) * T(z,x \ y) = z * ((x \ 1) * y). [hyper(5434,a,173698,a)]. 174554 K((x \ 1) * y,z) = K(x \ y,z). [hyper(5083,a,173698,a(flip),b,42661,a),rewrite([31592(9)])]. 174817 K(x * (y \ 1),z) = K(x / y,z). [back_rewrite(62374),rewrite([174554(5),879(3)]),flip(a)]. 175227 (1 / x) * T(x \ y,x \ (x \ 1)) = y * (x \ (1 / x)). [hyper(295,a,81194,a,b,174405,a),rewrite([26414(7),28083(5),60426(3),49(4),112115(11),408(6),172606(7),62160(13)])]. 175298 ((1 / x) \ y) * (x \ (1 / x)) = T(x \ y,x \ (x \ 1)). [hyper(5083,a,174405,a(flip),b,81194,a),rewrite([26414(7),28083(5),60426(3),49(4),62160(7),172459(7),112115(16),408(11),172606(12)])]. 175299 ((x \ 1) \ y) * (x \ (1 / x)) = x \ T(y,x \ (x \ 1)). [hyper(5083,a,174405,a(flip),b,81065,a),rewrite([62160(7),172459(7),337(11)])]. 175400 K(x,x \ 1) * (y * (x * z)) = y * (((x \ 1) \ 1) * z). [para(411(a,2),174405(a,1,1,1)),rewrite([60848(8),324(7),46274(7)])]. 175577 x * ((x \ y) * ((1 / x) \ x)) = y * ((1 / x) \ x). [para(61612(a,1),174405(a,1,2,2)),rewrite([71694(5),66480(6),111817(5),71694(11)])]. 175858 T(x * y,z) / y = y \ T(y * x,z). [para(52(a,1),108686(a,1,2,1,2)),flip(a)]. 175886 T(x * a(y,z,u),w) / x = x \ T(x * a(y,z,u),w). [para(531(a,1),108686(a,1,2,1,2)),flip(a)]. 175896 T(x,T(x \ y,z)) * ((x \ T(y,z)) * u) = x * ((T(y,z) / x) * u). [para(108686(a,2),13288(a,2,2,1)),rewrite([131426(3),108686(11)])]. 175903 T(x,y) / (z \ x) = K(x,y) * z. [para(337(a,1),108686(a,1,2,1,2)),rewrite([144749(5)]),flip(a)]. 175983 T(x,y) / (x * x) = x \ K(x,y). [para(61746(a,1),108686(a,1,2,1,2)),rewrite([68073(5),69863(7),49(2),82(2)]),flip(a)]. 175989 T(x,y) / L(x,z,u) = L(x,z,u) \ T(x,y). [para(91483(a,1),108686(a,1,2,1,2)),rewrite([51(5)]),flip(a)]. 176143 (x \ 1) \ T((x \ 1) * y,z) = x * T(x \ y,z). [back_rewrite(62223),rewrite([175858(7)])]. 176188 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [back_rewrite(71348),rewrite([176143(11),219(7)]),flip(a)]. 176373 K(x,y) * (x / z) = T(x,y) / z. [para(340(a,1),175903(a,1,2)),flip(a)]. 176425 T(x,y) / T(x * z,z \ 1) = L(K(x,y) * (z \ 1),z,x). [para(59166(a,1),175903(a,1,2)),rewrite([26458(11)])]. 176459 K((x * y) * z,u) * R(x,y,z) = T((x * y) * z,u) / (y * z). [para(6662(a,1),175903(a,1,2)),flip(a)]. 176496 L(T(x,y),z,u) / (x * L(1 / x,z,u)) = L(T(x,y),x,x). [para(149540(a,1),175903(a,1,2)),rewrite([60(2),6159(9),26458(10),168(9)])]. 176597 L(K(x,y) * (z \ 1),z,x) = (x * z) \ T(x,T(y,z)). [hyper(5081,a,56,a,b,176425,a),rewrite([38428(6),49(5),149(4),176425(10)]),flip(a)]. 176802 a(x,L((y * z) \ z,u,w),v5) = a(x,L((z * y) \ z,u,w),v5). [para(176425(a,1),70632(a,1,2,1)),rewrite([176597(5),134659(6),134659(12),134664(11)]),flip(a)]. 177121 a(R(x,y,x) \ z,u,w) = a(x \ z,u,w). [para(96988(a,1),13835(a,2,1,1)),rewrite([175858(3),100277(5),50(2)]),flip(a)]. 177230 L(x,y * R(z,u,z),w) = L(x,z * y,w). [para(96988(a,1),77774(a,2,2,2)),rewrite([175858(3),98039(5),50(2)]),flip(a)]. 177318 R(x,L(x \ 1,y,z),x) = T(x,x \ 1). [para(69933(a,1),96988(a,1,2,1)),rewrite([152433(6),69663(6)]),flip(a)]. 177399 T(x * L(1 / x,y,z),x) = x * L(1 / x,y,z). [back_rewrite(152482),rewrite([177318(7),150495(7),98306(5)]),flip(a)]. 177450 T(x,x \ L(x,y,z)) = x. [back_rewrite(113342),rewrite([177399(9),176496(9),92218(4),49(2),409(1)]),flip(a)]. 178196 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [hyper(5081,a,61,a,b,19148,a),rewrite([19139(4),19148(10)]),flip(a)]. 178218 T((x * (y * y)) / z,u) = T(x / (z / (y * y)),u). [para(7(a,1),19148(a,1,1)),rewrite([72042(5),72092(9),58(8),68576(6),68380(6),223(6),328(4),394(12)])]. 178260 T((x * K(y,z)) / u,w) = T(x / (u * K(z,y)),w). [para(7726(a,1),19148(a,1,1)),rewrite([9510(2),9510(4),12023(5),7725(9),5739(8),562(6),11427(6),11474(6),223(6),10522(4),9510(6),9510(10),5826(12)])]. 178367 T(x / (y / (z * z)),(y \ x) * (z * z)) = (x * (z * z)) / y. [back_rewrite(172524),rewrite([178218(7)])]. 178402 T(x / (y * K(z,u)),(y \ x) * K(u,z)) = (x * K(u,z)) / y. [back_rewrite(172759),rewrite([178260(7)])]. 178495 (x * K(y,z)) / u = x / (u * K(z,y)). [hyper(5081,a,25190,a(flip),b,178260,a),rewrite([25190(9)]),flip(a)]. 178504 T(x / (y * K(z,u)),y) = (y \ x) * K(u,z). [hyper(295,a,412,a(flip),b,178260,a),rewrite([41109(3)]),flip(a)]. 178555 T((x * (y * K(z,u))) / w,v5) = T((x * y) / (w * K(u,z)),v5). [para(7687(a,2),178260(a,1,1,1)),rewrite([10(2),48(5)])]. 178585 T(L(x * K(y,z),u,w) / v5,v6) = T(L(x,u,w) / (v5 * K(z,y)),v6). [para(26653(a,1),178260(a,1,1,1))]. 178691 T(x / (y * K(z,u)),(y \ x) * K(u,z)) = x / (y * K(z,u)). [back_rewrite(178402),rewrite([178495(10)])]. 178803 x / ((y \ x) * K(z,u)) = K(u,T(z,x)) * y. [back_rewrite(135030),rewrite([178495(4)])]. 178822 (x \ y) / (K(z,u) * T(K(u,z) * y,x \ 1)) = T(y \ (x \ y),K(u,z)). [back_rewrite(114395),rewrite([178495(9),9665(8)])]. 178834 T(x,K(y,z)) / (u * K(y,z)) = x / T(u * (K(y,z) * K(x,u)),x). [back_rewrite(110934),rewrite([178495(11),52958(10),7726(9)])]. 178921 (x / y) * K(z,T(u,y)) = x / (y * K(u,z)). [back_rewrite(41633),rewrite([178495(7)])]. 179006 (x * (y * K(z,u))) / w = (x * y) / (w * K(u,z)). [back_rewrite(172089),rewrite([178555(9),178691(9)]),flip(a)]. 179092 L(x * K(y,z),u,w) / v5 = L(x,u,w) / (v5 * K(z,y)). [back_rewrite(173645),rewrite([178585(9),178691(9)]),flip(a)]. 179372 (x * y) / (T(x,T(y,z)) * K(z,R(z,u,w) \ y)) = (R(z,u,w) \ y) * R(z,u,w). [back_rewrite(30828),rewrite([179006(8)])]. 179499 (R(x,y,z) \ x) * R(x,y,z) = x * K(R(x,y,z) \ x,T(x,u)). [para(409(a,1),179372(a,1,2,1,2)),rewrite([52958(6),41178(7),37791(5)]),flip(a)]. 179501 T(a(x,y,z) * K(R(u,w,v5) \ a(x,y,z),u),v6) = (R(u,w,v5) \ a(x,y,z)) * R(u,w,v5). [para(6592(a,1),179372(a,1,1)),rewrite([547(4),561(4),178803(8),24947(7)])]. 179515 L(x,y,z) \ T(u,K(x,w)) = T(L(x,y,z) \ u,K(x,w)). [para(19895(a,2),179372(a,1,2,1,2)),rewrite([19895(8),610(8),5676(9),5754(11),11208(11),73(11),43676(11),63897(11),38109(9),12190(9),34436(9),41178(10),73(3),1373(3),75(2),74(2),43685(5),5676(6),5754(8),11208(8),5676(9),19895(9)])]. 179559 (x * y) / T(x * K(z,R(z,u,w) \ y),T(y,z)) = (R(z,u,w) \ y) * R(z,u,w). [para(41117(a,2),179372(a,1,2)),rewrite([2717(6),34821(5),6205(4)])]. 179793 (x * a(y,z,y)) / u = x / (a(y,z,y) \ u). [hyper(272,a,29916,a(flip),b,178196,a(flip)),rewrite([6706(2)]),flip(a)]. 179794 x / (a(y,z,a(u,w,v5)) \ v6) = (x / v6) * a(y,z,a(u,w,v5)). [hyper(272,a,8281,a(flip),b,178196,a(flip)),rewrite([6706(3),17628(8)])]. 179795 (x * (y * y)) / z = x / (z / (y * y)). [hyper(272,a,394,a(flip),b,178196,a(flip)),flip(a)]. 179796 T((x * (y * (z * z))) / u,w) = T((x * y) / (u / (z * z)),w). [para(7(a,1),178196(a,2,1,1)),rewrite([394(9)]),flip(a)]. 179809 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(412(a,1),178196(a,1,1))]. 179894 T(x / (y / (z * z)),(y \ x) * (z * z)) = x / (y / (z * z)). [back_rewrite(178367),rewrite([179795(10)])]. 179911 (x / (y / (z * z))) * (y * u) = (x / y) * (y * ((z * z) * u)). [back_rewrite(172460),rewrite([179795(3)])]. 180025 (x * (y * (z * z))) / u = (x * y) / (u / (z * z)). [back_rewrite(171769),rewrite([179796(9),179894(9)]),flip(a)]. 180145 (x * x) * (1 / y) = (x * x) / y. [hyper(5081,a,69340,a,b,179795,a),rewrite([72042(4),11965(6),67007(5),68801(8),69340(7),48(7)])]. 180149 1 / (x / (y * y)) = (y * y) / x. [hyper(5081,a,22924,a,b,179795,a),rewrite([72092(5),157408(8),157578(8),48(7)])]. 180297 (x * (y \ (1 / y))) / z = x / (z * ((1 / y) \ y)). [para(31938(a,2),179795(a,1,1,2)),rewrite([31938(7),62160(5),62160(10),91988(9)])]. 180359 (x * x) * ((1 / y) * z) = ((x * x) / y) * z. [para(179795(a,2),60426(a,2,1)),rewrite([72042(3),26402(8),25316(8),28057(6),25603(6),76192(4),48(8)])]. 180466 (x * x) \ ((x * x) / y) = 1 / y. [back_rewrite(34225),rewrite([180149(5)])]. 180670 x / (y * (L(y,z,u) \ K(w,v5))) = ((L(y,z,u) \ y) \ x) * K(v5,w). [hyper(295,a,25190,a(flip),b,178504,a),rewrite([162956(4)])]. 180718 (x \ y) * K(z \ x,z) = T(y / (z * (x / z)),x). [para(197(a,1),178504(a,1,1,2)),flip(a)]. 181181 x / (y \ (x \ 1)) = x * ((x \ 1) \ y). [hyper(5081,a,57662,a,b,66480,a),rewrite([68875(9),68934(7),49(4),66480(8)])]. 181472 x \ ((1 / x) \ (y * x)) = (x \ 1) \ T(y,x). [hyper(5083,a,135397,a,b,66480,a(flip)),rewrite([26402(8),26414(8),28029(6),61612(5),321(4)])]. 181559 L(1 / x,y,z) \ L(x,y,z) = (1 / x) \ x. [hyper(5083,a,66480,a(flip),b,18710,a(flip)),rewrite([70265(9),323(8),49(9),70241(9),51(6)])]. 181578 R(x,(1 / y) \ y,z) = x. [para(66480(a,1),57(a,1,2)),rewrite([92009(5),52(10)]),flip(a)]. 182347 (x * ((y * y) \ z)) \ (x * T(z,y * y)) = y * y. [para(22655(a,1),56(a,1,2,2)),rewrite([25603(11),322(9)])]. 182545 x \ ((y * y) * (R((y * y) \ x,z,u) * w)) = R((y * y) \ x,z,u) * (x \ ((y * y) * w)). [hyper(295,a,62852,a(flip),b,23536,a),rewrite([23536(6)]),flip(a)]. 182580 ((x / y) * L(y,z,u)) / L((w * w) \ y,z,u) = x / ((w * w) \ y). [hyper(5142,a,23536,a(flip),b,158527,a(flip)),rewrite([28569(6),158527(3)])]. 182632 L(L((x * x) \ y,z,u),w,v5) \ v6 = L(L(y,w,v5),z,u) \ ((x * x) * v6). [para(6123(a,1),23536(a,1,1)),rewrite([25944(4),25944(3)])]. 182822 a(x * (y * a(z,a(u,w,v5),v6)),v7,v8) = a(x * y,v7,v8). [para(7734(a,1),7607(a,1,1,1)),rewrite([5532(8),29534(6),29685(12),168504(13),29776(10),29501(9),170187(13),54(7),7734(6),5532(10)]),flip(a)]. 182876 a(x * (a(y,a(z,u,w),v5) * v6),v7,v8) = a(v6 * x,v7,v8). [back_rewrite(29545),rewrite([182822(10)])]. 182893 a(a(x,a(y,z,u),w) * v5,v6,v7) = a(v5,v6,v7). [back_rewrite(170184),rewrite([182876(6),51(2)]),flip(a)]. 182897 a((x \ a(y,a(z,u,w),v5)) * v6,v7,v8) = a(v6 * x,v7,v8). [back_rewrite(75620),rewrite([182876(10)])]. 182898 a(x * (y \ a(z,a(u,w,v5),v6)),v7,v8) = a(y * x,v7,v8). [back_rewrite(69087),rewrite([182876(10)])]. 183780 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [para(7752(a,1),181(a,1,1)),rewrite([11086(5),181(4)]),flip(a)]. 183787 K(x,((y * z) / y) * u) = K(x,T(z,y) * u). [para(7752(a,1),202(a,1,2)),rewrite([4653(7),9240(4)]),flip(a)]. 183821 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(7752(a,1),262(a,1,2,1)),rewrite([9820(5),54358(4)]),flip(a)]. 184035 K(x,y * z) * ((x * z) \ ((z * y) * x)) = L(y,z,x). [para(7752(a,1),26455(a,2,1)),rewrite([50(4),41141(4),12013(8)]),flip(a)]. 184329 L(x,y,z * (((u * w) / u) * v5)) = L(x,y,z * (w * v5)). [para(7752(a,1),85452(a,1,3,2)),rewrite([85790(7),85720(5)]),flip(a)]. 184644 K(T(x,y) * (y * z),u) = K(x * (T(y,x) * z),u). [back_rewrite(33283),rewrite([183780(6),3743(5)])]. 184725 L(x,y,z * (u * (T(w,u) * v5))) = L(x,y,z * (u * (w * v5))). [back_rewrite(85812),rewrite([184329(6)]),flip(a)]. 184866 K(x,x * x) = a(x,x,x). [para(57(a,1),31592(a,1,1)),rewrite([82013(1),26307(2)]),flip(a)]. 184886 (((x * L(y,z,u)) * w) / (x * L(T(y,w),z,u))) \ T(w,y) = K(w,L(y,z,u) * x). [para(14160(a,1),31592(a,1,1,1)),rewrite([1039(14),85966(14),49506(13)])]. 184938 K(x * x,y \ 1) = K(y,x * x). [para(62166(a,1),31592(a,1,1,1)),rewrite([75480(5),801(4)]),flip(a)]. 185060 (T(1 / x,y * y) * z) \ (1 / x) = (x * z) \ T(x,y * y). [back_rewrite(72226),rewrite([184938(14),95539(13)])]. 185130 ((x * y) \ ((y * z) * T(x,T(y,u)))) \ L((x * y) \ ((y * z) * T(x,T(y,u))),w,v5) = R(z,y,T(x,T(y,u))) \ L(R(z,y,T(x,T(y,u))),w,v5). [para(251(a,1),94588(a,1,1,1)),rewrite([251(11),64024(18)])]. 185150 R(x,y,y) \ L(R(x,y,y),z,u) = L(x \ L(x,z,u),y,y). [para(62160(a,1),94588(a,1,1,1)),rewrite([64765(10),58(9),62160(12),64765(17),58(16),144358(16),61613(4),61613(5),144467(4),112853(8),112853(9)]),flip(a)]. 185153 R(x,x,x \ y) \ L(R(x,x,x \ y),z,u) = (y \ ((x \ 1) \ y)) \ L(y \ ((x \ 1) \ y),z,u). [para(68073(a,1),94588(a,1,1,2)),rewrite([51(2),51(6),68073(7)]),flip(a)]. 185159 (1 / (x * y)) * (x * L(y,z,u)) = L(y \ L(y,z,u),x,x). [para(64657(a,1),94588(a,1,1,1)),rewrite([128569(8),324(6),64657(10),128569(12),324(10),144388(10),150412(6),128499(12),128499(13),185150(10)])]. 185164 R(x \ 1,x,y) \ L(R(x \ 1,x,y),z,u) = ((x * y) \ y) \ L((x * y) \ y,z,u). [para(1816(a,1),94588(a,1,1,2,1)),rewrite([64931(6),1816(10),64931(12),11961(14),64714(5),26458(13),52864(12),66904(7),412(7),51(10),94062(14)]),flip(a)]. 185177 ((x * y) * x) \ L((x * y) * x,z,u) = L(y \ L(y,z,u),x,x). [back_rewrite(150412),rewrite([185159(12)])]. 185441 (x * x) * ((y * x) \ y) = L((x \ 1) \ 1,x,y). [para(89885(a,1),59166(a,2,1)),rewrite([67007(3),321(7),67094(6),67007(8),60(9),71537(8)])]. 185450 L(x \ 1,x,L(x,y,z)) = 1 / x. [para(63806(a,1),89885(a,1,1,1)),rewrite([411(4,R),177450(3),62160(5),51(4),28083(8)]),flip(a)]. 185683 T(x * x,y \ ((x * x) \ (y / z))) = T(x * x,x * (x / z)). [hyper(7088,a,129771,a,b,67094,a(flip)),rewrite([69953(7),92038(8),69953(12),69953(18),122187(25),20749(23),41205(22),184938(19),172015(22),182347(19),7726(10),122980(10)])]. 185718 T(x \ T(x / y,y \ 1),x / y) = x \ (x / y). [hyper(5142,a,129771,a(flip),b,41552,a(flip)),rewrite([58(6),9510(9),6720(8),23270(8),131484(9),96757(7),66904(4),23218(4)])]. 185964 T(x * K(y,y \ z),T(z,y)) = T(K(y,y \ z) * x,z). [hyper(5081,a,30311,a,b,145121,a),rewrite([76210(6),238(5),197(6),4743(6),145121(9)])]. 185985 L(x \ y,x,x \ y) = T(y / x,y). [hyper(295,a,382,a,b,145121,a),rewrite([2045(7),147(7,R),51(5)])]. 186037 K(x,y) * T(z,x * y) = T(K(x,y) * z,x * y). [para(50(a,1),145121(a,1,1,1)),rewrite([168476(4),50(6)])]. 186081 K(x \ y,x) * T(z,y) = T(K(x \ y,x) * z,y). [para(340(a,1),145121(a,1,1,1)),rewrite([60136(4),340(7),2399(6)])]. 186122 T(K(x,x \ y) * a(z,u,w),y) = K(x,x \ y) * a(z,u,w). [para(1143(a,1),145121(a,1,2)),rewrite([145123(5)]),flip(a)]. 186123 T(a(x,y,z) * K(u,u \ w),w) = K(u,u \ w) * a(x,y,z). [para(1143(a,2),145121(a,2,1)),rewrite([145121(5),186122(5)]),flip(a)]. 186194 (x / (K(y,y \ z) * u)) * K(z,u) = x / T(K(y,y \ z) * u,z). [para(145121(a,2),42661(a,2,2)),rewrite([17356(8),145121(10)])]. 186440 (x * y) \ (z * (y * x)) = T(K(y,x) * z,y * x). [back_rewrite(168476),rewrite([186037(8)])]. 186589 T(x \ y,T(y,x)) = T(x \ y,y). [para(185964(a,1),189(a,1,1)),rewrite([2045(4),147(4,R),51(2),859(3)]),flip(a)]. 186944 (x * (K(y,z) * u)) \ x = ((x * u) \ x) * K(z,y). [hyper(295,a,41963,a,b,107552,a),rewrite([5754(2),7724(3),37797(4),5754(5),7724(6),9510(8),41109(9),11961(7),44132(9),41963(8),410(5),41109(4),5754(6),10948(8),7725(7)]),flip(a)]. 188059 T(T((x \ y) \ y,z),z) \ L(T(T(T(x,z),z),x \ y),u,w) = x \ L(x,u,w). [hyper(5081,a,137993,a,b,64256,a),rewrite([139102(8),8936(5),12247(6),12247(5),36619(12)]),flip(a)]. 188068 L(x,y,z) / x = x \ L(x,y,z). [hyper(5081,a,2244,a,b,64256,a),rewrite([177450(4),64256(8)])]. 188110 L(x \ L(x,y,z),u,w) * x = x * L(x \ L(x,y,z),u,w). [para(64256(a,2),207(a,2,2,1)),rewrite([188068(2),64256(10)])]. 188162 T(x,y \ (L(z,u,w) * (z \ y))) = T(x,z \ L(z,u,w)). [para(64256(a,1),60848(a,1,2)),rewrite([2195(8)]),flip(a)]. 188168 K(x,y \ (L(z,u,w) * (z \ y))) = K(x,z \ L(z,u,w)). [para(64256(a,1),60845(a,1,2)),rewrite([2195(8)]),flip(a)]. 188207 (x \ L(x,y,z)) * x = L(x,y,z). [para(64256(a,2),118801(a,2,2)),rewrite([188068(6),64035(6),64035(4),12247(7),12247(6),36619(13),188059(13),51(6)])]. 188275 K(x * L(1 / x,y,z),u) = K(x \ L(x,y,z),u). [back_rewrite(98314),rewrite([188068(7)])]. 188300 L(T(x,y),z,u) / x = x \ L(T(x,y),z,u). [hyper(5142,a,188068,a(flip),b,42661,a),rewrite([64035(4),9510(4),70411(4),70355(4)]),flip(a)]. 188302 L(x,y,z) / T(x,u) = T(x,u) \ L(x,y,z). [hyper(5142,a,188068,a(flip),b,41903,a),rewrite([9510(4),104859(4),150319(4)]),flip(a)]. 188303 T(T(x,y) \ L(x,z,u),x) = T(x,y) \ L(x,z,u). [hyper(5142,a,188068,a(flip),b,42302,a(flip)),rewrite([95634(6),12023(4),64181(4),104859(5),188068(4),64035(4),152433(3),9510(4),104859(4),188302(3),179092(8),149(7),188302(7)])]. 188305 L(L(x,y,z),u,w) / L(x,u,w) = L(x,u,w) \ L(L(x,u,w),y,z). [para(64(a,1),188068(a,1,1))]. 188354 (x \ L(T(x,y),z,u)) * L(x,z,u) = L(x,z,u) * (x \ L(T(x,y),z,u)). [back_rewrite(159363),rewrite([188300(3)])]. 188588 L(T(x,y),z,u) * L(x,w,v5) = L(x,z,u) * L(T(x,y),w,v5). [para(188303(a,2),158113(a,1,2,2)),rewrite([188303(7),18733(7),49420(6),64111(5),158113(6)]),flip(a)]. 188659 L(x,y,z) / L(x,x,x) = x * L(1 / x,y,z). [para(413(a,1),188302(a,1,2)),rewrite([413(5),149540(6)])]. 188691 x * L((1 / x) * K(x \ L(x,y,z),u),y,z) = T(x * L(1 / x,y,z),T(u,x)). [back_rewrite(150176),rewrite([188659(5),188275(7)])]. 188699 T(x * x,y \ ((x * x) \ z)) = T(x * x,y \ z). [hyper(7088,a,114213,a,b,67094,a(flip)),rewrite([60848(7),71999(5),101333(5),122187(21),69953(19),82(18),31850(17),68801(16),32135(15),149(10)])]. 188748 (a(x,y,z) \ u) / T(u,z \ L(z,y,x)) = u \ (a(x,y,z) \ u). [para(54(a,1),114213(a,1,1,1)),rewrite([12024(8),56(6),54(11)])]. 188764 (x \ y) \ T(z,T(z \ ((x \ y) \ z),y * x)) = K(z,y \ x) * ((x \ y) \ z). [para(114213(a,1),197(a,2,2)),rewrite([1039(10),27834(10),50989(10),95539(9),8515(14)])]. 188844 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [para(114213(a,1),34821(a,2,2)),rewrite([60848(8),27834(9),122833(9),84(3),41109(4),149(4)]),flip(a)]. 188873 ((x \ L(x,y,z)) \ u) / u = u \ ((x \ L(x,y,z)) \ u). [para(63806(a,2),114213(a,1,1,1)),rewrite([63806(4),25190(6)])]. 188966 T(x,T(y \ ((z \ u) \ y),w)) = T(x,T(u \ z,y * w)). [para(114213(a,1),122622(a,1,2,1)),rewrite([84(9),31991(9),27543(11),61871(11),49(7)])]. 188983 T(x,T(y,z \ u) \ 1) = T(x,T(y \ 1,z * u)). [para(114213(a,1),122662(a,1,2,2)),rewrite([60848(7),115798(7),44940(6),121448(6),23293(5)]),flip(a)]. 189056 T(x * x,x * (x / y)) = T(x * x,y \ 1). [back_rewrite(185683),rewrite([188699(6),122662(4)]),flip(a)]. 189070 K(x,y \ z) * ((z \ y) \ x) = (z \ y) \ T(x,y \ z). [back_rewrite(188764),rewrite([188966(7),27781(6),121044(5),115174(4)]),flip(a)]. 189093 x * (x * K(y,x * x)) = T(x * x,y \ 1). [back_rewrite(122980),rewrite([189056(8)])]. 189148 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(18716,a,188748,a),rewrite([411(6,R),127632(4)])]. 189168 (x * x) * (a(y,z,u) \ 1) = a(y,z,u) \ (x * x). [hyper(5083,a,188748,a,b,66988,a),rewrite([154894(11),84(10),126705(8),67094(7)])]. 189178 T(x \ (a(y,z,u) \ x),K(w,v5)) = x \ (a(y,z,u) \ x). [hyper(5081,a,12023,a(flip),b,188748,a),rewrite([41109(5),41109(6),5739(7),41109(9),178495(15),9665(14),144521(14),5784(11),188748(11)])]. 189187 x \ (a(y,z,u) \ T(x,u \ L(u,z,y))) = (a(y,z,u) \ x) / x. [hyper(5142,a,188748,a(flip),b,42661,a),rewrite([9510(7),96964(7)])]. 189188 T((a(x,y,z) \ u) / T(u,w),u) = (a(x,y,z) \ u) / T(T(u,z \ L(z,y,x)),w). [hyper(5142,a,188748,a(flip),b,41903,a),rewrite([1039(7),27834(7),27601(7),2739(6),9510(5),104859(5)])]. 189190 K(a(x,y,z) \ 1,u) = K(z \ L(z,y,x),u). [hyper(5083,a,188748,a(flip),b,42661,a),rewrite([3776(7),129403(4)])]. 189192 x / T(a(y,z,u) * x,u \ L(u,z,y)) = (a(y,z,u) * x) \ x. [para(50(a,1),188748(a,1,1)),rewrite([50(12)])]. 189225 T(x,y) \ (a(z,u,w) \ T(x,y)) = x \ (a(z,u,w) \ x). [para(188748(a,2),11215(a,2,1)),rewrite([96964(6),188748(11),189178(10)])]. 189241 ((a(x,y,z) \ u) / T(T(u,z \ L(z,y,x)),w)) \ v5 = K(u,w) * ((u \ (a(x,y,z) \ u)) \ v5). [para(188748(a,1),43188(a,1,2,1)),rewrite([1039(4),27834(4),27601(4),2739(3)]),flip(a)]. 189357 T(x \ ((y \ L(y,z,u)) \ x),w) = x \ ((y \ L(y,z,u)) \ x). [hyper(5081,a,235,a,b,188873,a),rewrite([188844(9),91472(7),34897(7),49(6),188873(9)])]. 189372 x / ((y \ L(y,z,u)) * x) = ((y \ L(y,z,u)) * x) \ x. [para(50(a,1),188873(a,1,1)),rewrite([50(13)])]. 189377 T(((x \ L(x,y,z)) \ u) * K(w,x * (L(x,y,z) \ u)),w) / u = u \ ((x \ L(x,y,z)) \ u). [para(235(a,2),188873(a,1,1)),rewrite([60845(7),162681(6)])]. 189551 x * ((x \ 1) \ (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(x,y,z) * L(L(x,y,z) \ x,u,w). [hyper(5083,a,70526,a(flip),b,135559,a),rewrite([69933(6),69933(8),173509(8),61634(9),165684(16)])]. 189588 L(x \ 1,y,z) * L(L(x,y,z) \ x,u,w) = L(x,y,z) \ L(x \ L(x,y,z),u,w). [hyper(5083,a,70526,a(flip),b,135559,a(flip)),rewrite([70237(4),70237(6),173509(6),50(7),340(13)]),flip(a)]. 189646 a(x,y,z) * (L(a(x,y,z) \ 1,u,w) * (w * u)) = (a(x,y,z) \ 1) * (w * (u * a(x,y,z))). [para(15015(a,1),135559(a,1,2)),rewrite([6706(3)]),flip(a)]. 189673 1 / (x * (L(x \ 1,y,z) * L(x,y,z))) = ((x \ L(x,y,z)) * L(x,y,z)) \ 1. [para(135559(a,1),23196(a,1,2)),rewrite([71337(15),66364(16),158527(12),188068(10)])]. 189722 L(x,y,L(L(z \ 1,u,w) * v5,z,z)) = L(x,y,L(L(z,u,w) * v5,z,z)). [para(135559(a,1),85526(a,1,3,1)),rewrite([83661(9),73507(9),85526(7),26402(13),26414(13),28057(11),28083(11)])]. 189965 x * T(x \ (y / (1 / x)),z) = T(y,z) / (1 / x). [hyper(5142,a,90188,a,b,5000,a),rewrite([81391(9),90188(12),137736(9)]),flip(a)]. 190000 T(x,x \ 1) * T(x \ ((x \ 1) \ y),z) = (1 / x) \ T(y,z). [hyper(5083,a,5000,a,b,90188,a),rewrite([189965(8),53(9),81391(11)]),flip(a)]. 190024 K(x,x \ 1) * T(y,z) = T(K(x,x \ 1) * y,z). [hyper(5083,a,90188,a,b,255,a),rewrite([1816(3),81391(12),190000(14),51(10),5754(5),64714(3),1816(8),5754(9),64714(8)])]. 190102 ((x * (1 / y)) * (T(y,y \ 1) * z)) / (y * ((1 / y) * z)) = R(x,1 / y,T(y,y \ 1) * z). [para(90188(a,1),57(a,1,2))]. 190147 (x * (1 / y)) * (T(y,y \ 1) * z) = (x * y) * ((1 / y) * z). [para(90188(a,1),7687(a,1,2,2)),rewrite([13988(7),14827(4),50864(4),72849(8)]),flip(a)]. 190177 x * ((1 / x) * (L(1 / x,y,z) * u)) = L(L(x \ 1,y,z) * u,x,x). [para(13622(a,2),90188(a,2,2)),rewrite([160965(10),22934(8),13622(13)]),flip(a)]. 190246 K(x * (1 / y),z) = K(x / y,z). [para(90188(a,2),14494(a,1,2,2)),rewrite([90188(10),92473(8),181(5),68811(9),879(7)])]. 190332 L(x,y,z * L(u,z,z)) = L(x,y,L(z * u,z,z)). [para(90188(a,1),85526(a,1,3,1)),rewrite([83661(8),73507(8),85526(6),85618(5),120960(5),26402(12),26414(12),28057(10),28083(10),62366(8)]),flip(a)]. 190460 T(x * L(1 / x,y,z),T(u,x)) = T(x * L(1 / x,y,z),u). [back_rewrite(98311),rewrite([190024(7),64181(6),98306(5)]),flip(a)]. 190478 R(x,1 / y,T(y,y \ 1) * z) = R(x,y,(1 / y) * z). [back_rewrite(190102),rewrite([190147(8),57(10)]),flip(a)]. 190501 x * L((1 / x) * K(x \ L(x,y,z),u),y,z) = T(x * L(1 / x,y,z),u). [back_rewrite(188691),rewrite([190460(14)])]. 190534 L(x,y * L(y,z,u),y * L(y,z,u)) / ((y \ L(y,z,u)) * x) = (y \ L(y,z,u)) \ 1. [hyper(5142,a,83146,a(flip),b,22934,a),rewrite([82976(5),122505(13)])]. 190571 ((x * (1 / y)) * (y * z)) / L(z,y,y) = R(x,1 / y,y * z). [para(22934(a,1),57(a,1,2))]. 190595 L(a(x,y,z),a(x,y,z) \ u,a(x,y,z) * u) = (1 / (a(x,y,z) \ u)) * u. [para(6592(a,1),22934(a,1,2)),rewrite([83407(11)]),flip(a)]. 190596 (x * (1 / y)) * (y * z) = (x * y) * ((y \ 1) * z). [para(22934(a,1),7687(a,1,2,2)),rewrite([14827(4),50864(4),72894(5)]),flip(a)]. 190653 (x \ 1) * L(y,x,x) = L((1 / x) * y,x,x). [para(22934(a,1),3836(a,2,2)),rewrite([66975(6),22934(7)]),flip(a)]. 190705 R((x \ 1) \ 1,1 / x,x * y) = (x * y) / L(y,x,x). [para(22934(a,1),94500(a,2,2)),rewrite([71337(4)])]. 190771 L(1 / x,y,z) \ L(u,x,x) = x * (x * (L(x,y,z) \ u)). [para(22934(a,1),162681(a,1,2)),rewrite([162842(13),162882(13),162681(8)])]. 190773 L(x,y,L(z,u,u) * L(u,w,v5)) = L(x,y,L(L(u,w,v5) * z,u,u)). [para(22934(a,1),162753(a,1,3,1)),rewrite([168807(6),85389(6),31391(11),22934(12),189722(10)])]. 190783 R(1 / x,x * y,1 / x) = L(x \ 1,y,x). [para(22934(a,1),96988(a,1,2,1)),rewrite([23218(5),60(5),61614(5),56(6)]),flip(a)]. 190803 R(x,1 / y,y * z) = R(x,y,(y \ 1) * z). [back_rewrite(190571),rewrite([190596(5),62255(7)]),flip(a)]. 190829 R((x \ 1) \ 1,x,(x \ 1) * y) = (x * y) / L(y,x,x). [back_rewrite(190705),rewrite([190803(8)])]. 190832 R(x,y,y \ a(z,u,z)) = R(x,y \ 1,y). [back_rewrite(94892),rewrite([190803(5),71244(4)])]. 190864 R(x,y \ 1,y) = R(x,y,y). [hyper(7088,a,190596,a,b,7750,a),rewrite([89886(4),561(3),190596(8),71244(7),112468(7),561(3),190832(4)]),flip(a)]. 190869 R(x,y,y \ 1) = R(x,y,y). [hyper(7088,a,190596,a,b,153474,a(flip)),rewrite([51(6),407(5),408(5),51(6),407(5),51(10),15(9),49(9),31824(8),190864(7),324(6)])]. 190931 R(x,y,y) / y = x * (1 / y). [hyper(5142,a,7750,a,b,190596,a),rewrite([89886(4),179793(6),58(5),561(3)])]. 190980 (x * (1 / y)) \ R(x,y,y) = y. [hyper(5083,a,153474,a(flip),b,190596,a),rewrite([190869(6),51(7),407(6),49(6),51(8),15(7),49(7)])]. 191020 (x * y) * (y \ K(z,u)) = R(x,y,y) * K(z,u). [hyper(5081,a,7726,a,b,190596,a),rewrite([89886(4),190596(9),31850(8)]),flip(a)]. 191021 R(x,y,y) * L(z,y,x * y) = (x * y) * ((y \ 1) * z). [hyper(5081,a,380,a,b,190596,a),rewrite([89886(4),28083(5),190596(9)])]. 191030 R(x,y,y) * K(y,x) = (x * (1 / y)) * T(y,x). [hyper(5081,a,190596,a,b,9670,a(flip)),rewrite([149(5),32388(11),191020(9)]),flip(a)]. 191274 L(x,y * ((z \ 1) * u),w) = L(x,y * (z * u),w). [para(190596(a,1),25672(a,1,2,2)),rewrite([53(3),48(5)])]. 191304 K(x,T((1 / y) * z,u)) = K(x,T(y \ z,u)). [para(190596(a,1),11014(a,1,2,2)),rewrite([62042(10),48(7),26924(8),62070(8),27541(8),26918(6),76426(11),27587(9)])]. 191383 (x \ (y * y)) * ((y * y) \ z) = (x \ 1) * z. [para(62166(a,1),190596(a,2,1)),rewrite([67502(5),71999(6),172565(4),67502(3),69953(7),50(6),67007(8),66988(9)]),flip(a)]. 191565 (x * (1 / y)) / (z / (y * y)) = (x * T(y,y \ 1)) / z. [para(190596(a,1),179795(a,1,1)),rewrite([65068(4),7726(5),149(4)]),flip(a)]. 191612 (x * (1 / y)) * y = R(x,y,y). [back_rewrite(31824),rewrite([190864(7)])]. 191977 L((1 / x) \ a(y,x,x),x,y) = x. [hyper(295,a,11892,a,b,190980,a),rewrite([102153(4),28057(7),28083(7)])]. 192086 ((1 / x) \ y) \ x = (x \ y) \ (x \ 1). [para(190980(a,1),68847(a,1,2)),rewrite([340(8),94615(8)])]. 192564 x * ((x \ 1) \ (L(x,y,z) \ u)) = L(1 / x,y,z) \ u. [hyper(5083,a,190931,a,b,118328,a(flip)),rewrite([190931(8),118328(9),162842(9),162882(9),61634(6)])]. 192576 a(x,y,z) * (x * (y * (1 / z))) = (x * y) * (1 / z). [hyper(5081,a,7687,a,b,190931,a),rewrite([14988(3),72770(3),190931(9)])]. 192583 x * ((x \ 1) \ (1 / y)) = ((1 / x) \ x) / y. [hyper(5081,a,66480,a(flip),b,190931,a),rewrite([111716(10)])]. 192584 (1 / x) * L(1 / x,y,z) = L(x \ 1,y,z) / x. [hyper(5081,a,13654,a(flip),b,190931,a),rewrite([63(10),94615(9)])]. 192612 a(x,y,a(z,u,w)) * (v5 * (1 / v6)) = v5 * (a(x,y,a(z,u,w)) / v6). [para(190931(a,2),8362(a,2,2)),rewrite([10003(9)])]. 192613 a(x,y,a(z,u,w)) * ((1 / v5) * v6) = (a(x,y,a(z,u,w)) / v5) * v6. [para(190931(a,2),7729(a,1,1)),rewrite([10003(3)]),flip(a)]. 192620 (1 / x) \ ((y * y) \ z) = ((y * y) / x) \ z. [para(190931(a,2),11965(a,1,1)),rewrite([388(2)]),flip(a)]. 192634 (1 / x) \ (a(a(y,z,u),w,v5) \ v6) = (a(a(y,z,u),w,v5) / x) \ v6. [para(190931(a,2),11962(a,1,1)),rewrite([20158(3)]),flip(a)]. 192637 a(x,y,z \ a(a(u,w,v5),v6,v7)) = a(x,y,z). [para(190931(a,2),22365(a,1,3)),rewrite([20158(3),14988(4),14988(7),72770(7)])]. 192640 L(x,y * (z \ (u * u)),w) = L(x,z * y,w). [para(190931(a,2),25672(a,1,2,2)),rewrite([388(2),77774(4),77774(8),77943(8)])]. 192702 a(a(x,y,z),u,w) * (v5 \ (1 / v6)) = v5 \ (a(a(x,y,z),u,w) / v6). [para(190931(a,2),112586(a,1,2)),rewrite([20158(3)]),flip(a)]. 192738 L(1 / x,y,z) \ L(x \ L(x,y,z),u,w) = L(x,y,z) * L(L(x,y,z) \ x,u,w). [back_rewrite(189551),rewrite([192564(9)])]. 192764 1 / (x * (y \ (1 / y))) = ((1 / y) \ y) / x. [back_rewrite(66039),rewrite([192583(12)])]. 192768 T(K(x,y) * (z \ a(u,w,a(v5,v6,v7))),z) = (a(u,w,a(v5,v6,v7)) / z) * K(x,y). [back_rewrite(120992),rewrite([192613(13)])]. 192801 (x \ 1) * (x \ a(a(y,z,u),w,v5)) = x \ (a(a(y,z,u),w,v5) / x). [back_rewrite(170714),rewrite([192702(6)]),flip(a)]. 192812 (a(x,y,a(z,u,w)) / v5) / (1 / v5) = a(x,y,a(z,u,w)). [back_rewrite(121013),rewrite([192768(6),178495(10),7726(9),77(8),49(7)])]. 193425 L(K(x,y) / z,u,w) \ 1 = L(1 / z,u,w) \ K(y,x). [hyper(5081,a,165661,a(flip),b,75801,a),rewrite([75856(15),562(12),60(12),152446(11),27446(15),165676(16)])]. 193473 (K(x,y) / z) \ L(K(x,y) * u,w,v5) = (1 / z) \ L(u,w,v5). [para(207(a,2),75801(a,1,2)),rewrite([9510(4),26653(7),7726(6),77(5),49(4),5754(8)]),flip(a)]. 193507 ((1 / x) \ a(y,z,u)) * K(w,v5) = (K(v5,w) / x) \ a(y,z,u). [para(1143(a,2),75801(a,1,2)),rewrite([41109(6)])]. 193576 (K(x,y) / z) \ (T(y,x) \ u) = (1 / z) \ (y \ u). [para(8936(a,1),75801(a,1,2)),flip(a)]. 193602 (K(x,y) / z) * (K(x,y) / z) = K(x,y) * (z \ (K(x,y) / z)). [para(75801(a,2),61612(a,1,1)),rewrite([49(5),23112(4),12023(5)]),flip(a)]. 193745 (((x \ 1) \ K(y,z)) \ (K(z,y) / x)) * u = (K(z,y) / x) * (K(z,y) * (x \ u)). [para(75801(a,2),66480(a,2,2,1)),rewrite([80896(4),49(15),23112(14),12023(13)])]. 193798 T(K(x,y) * (z \ (K(x,y) / z)),z) = ((z \ 1) \ K(y,x)) \ (K(x,y) / z). [back_rewrite(89306),rewrite([193602(5)])]. 193860 (x \ K(y,z)) \ L(K(y,z) * u,w,v5) = T(x \ 1,K(y,z)) \ L(u,w,v5). [para(2244(a,1),193473(a,1,1)),rewrite([75731(11)])]. 193927 (x \ 1) * L(x \ ((1 / x) \ y),z,u) = x \ L(y,z,u). [para(193473(a,2),68073(a,1,2)),rewrite([61772(5),193473(9),68101(8),156693(7),340(12)])]. 193973 L(x * K(y * L(x,z,u),w),z,u) = y \ T(y * L(x,z,u),w). [para(193473(a,2),8764(a,1,2,1)),rewrite([193473(8),176188(8),92476(10),26653(9)]),flip(a)]. 194036 T(x,(K(y,z) / u) * w) = T(x,K(y,z) * (u \ w)). [para(23112(a,1),60848(a,1,2,1)),rewrite([12023(3),5754(9),75792(9)]),flip(a)]. 194058 T(x,T((y / z) * K(u,w),v5)) = T(x,T(y * (K(u,w) / z),v5)). [para(23112(a,1),122622(a,1,2,1,1)),rewrite([178495(3),126551(5),92470(12)])]. 194085 T(K(x,y) / z,z * z) = K(x,y) * (z \ 1). [back_rewrite(120300),rewrite([194036(8),31910(8),89762(6),157405(6),323(4),49(5),5754(4)]),flip(a)]. 194148 T(x,T(y / (z \ (K(u,w) * v5)),v6)) = T(x,T(y * (K(w,u) / (z \ v5)),v6)). [back_rewrite(126611),rewrite([194058(12)])]. 194179 T(x,T(y / (K(z,u) / w),v5)) = T(x,T(y / (w \ K(z,u)),v5)). [back_rewrite(75836),rewrite([194058(7),75771(4),128476(7)]),flip(a)]. 194184 T(x,T(y * (1 / z),u)) = T(x,T(y / z,u)). [back_rewrite(53518),rewrite([194058(7),94704(4)])]. 194211 T(x,T(y / (z \ K(u,w)),z * v5)) = T(x,T((K(u,w) / z) \ y,v5)). [back_rewrite(121548),rewrite([194179(6)])]. 194313 a(a(x,y,z),u,w) \ ((1 / v5) \ v6) = (a(a(x,y,z),u,w) / v5) \ v6. [para(75757(a,1),28791(a,2,2,1)),rewrite([76070(8),20287(6),192634(6)]),flip(a)]. 194477 (x * x) * (a(a(y,z,u),w,v5) \ v6) = x * ((a(a(y,z,u),w,v5) / x) \ v6). [back_rewrite(81606),rewrite([194313(6)]),flip(a)]. 194564 x * (K(y,z) * R(K(z,y) * (x \ 1),u,w)) = R(K(z,y) / x,u,w) * (x * K(y,z)). [para(31934(a,1),151404(a,1,1)),rewrite([31934(6),12023(6),7725(8),31934(15)])]. 194570 (K(x,y) / z) \ R(K(x,y) / z,u,w) = R(K(x,y) / z,u,w) * (z * K(y,x)). [para(31934(a,1),62852(a,2,2)),rewrite([49(7)])]. 194705 1 / L(a(x,y,a(z,u,w)) * v5,v6,v7) = a(x,y,a(z,u,w)) \ (1 / L(v5,v6,v7)). [hyper(7088,a,7729,a(flip),b,106454,a),rewrite([17090(6),8415(10),106467(7),192612(19),94733(16),11963(14),19453(13),50(14)])]. 194744 (x * (1 / L(x,y,z))) / x = L(x,y,z) \ 1. [hyper(5358,a,106454,a)]. 194805 (1 / L(x,y,z)) * T(x,x \ 1) = x * (1 / L(x,y,z)). [hyper(5081,a,410,a,b,106454,a),rewrite([118314(7),137750(7),106454(11)])]. 194806 T(x * (1 / L(x,y,z)),u) = x * (1 / L(x,y,z)). [hyper(5081,a,235,a,b,106454,a),rewrite([76040(9),91483(6),34897(7),49(6),106454(9)])]. 194816 T(x * K(y,z),L(x,u,w) \ 1) = (x \ K(z,y)) \ 1. [hyper(7088,a,10794,a,b,106454,a(flip)),rewrite([76130(7),75013(8),32556(6),76130(11),27503(16),49(15),123563(15),27834(16),49(14),6174(13),27503(18),49(17),38487(18),173665(16),75719(16),12023(16),58(15),118314(11),137750(11),48544(11)])]. 194817 T(a(x,y,a(z,u,w)) * v5,L(v5,v6,v7) \ 1) = (v5 \ 1) \ a(x,y,a(z,u,w)). [hyper(7088,a,8362,a,b,106454,a(flip)),rewrite([194705(9),122755(10),68395(10),194705(13),17090(21),19395(22),9304(23),106454(17),31036(18),58(15),118314(11),137750(11),14617(13),75127(13)])]. 194863 (L(x,y,z) \ K(u,w)) * x = x * (K(u,w) / L(x,y,z)). [hyper(5083,a,106454,a(flip),b,10794,a),rewrite([27503(5),49(4),123563(4),27834(5),49(3),6174(2),76130(9),7724(10),9533(10),194806(8),5754(7),1039(2),10794(7),75459(5),27503(9),49(8)]),flip(a)]. 194875 ((x * (L(y,z,u) \ 1)) * y) / (y * (1 / L(y,z,u))) = R(x,L(y,z,u) \ 1,y). [para(106454(a,1),57(a,1,2))]. 194882 (L(x,y,z) \ 1) \ T(x,x \ 1) = (1 / L(x,y,z)) \ x. [para(106454(a,2),248(a,1,1,1)),rewrite([106454(4),194744(5),118314(7),137750(7)])]. 194896 a(x,L(y,z,u),y) * (x * (y * (1 / L(y,z,u)))) = (x * (L(y,z,u) \ 1)) * y. [para(106454(a,1),7687(a,1,2,2)),rewrite([50864(4)])]. 194903 L((1 / L(x,y,z)) \ (x \ u),x,L(x,y,z)) = (x * (1 / L(x,y,z))) \ u. [para(106454(a,2),11892(a,2,1)),rewrite([28057(9),28083(9),150510(7),106454(11)])]. 194950 L((1 / L(x,y,z)) \ u,x,L(x,y,z)) = (x * u) / (x * (1 / L(x,y,z))). [para(106454(a,2),21093(a,1,2,1)),rewrite([106454(5),92240(10),194806(8),28057(14),28083(14),150510(12)]),flip(a)]. 194951 ((L(x,y,z) \ 1) \ x) \ u = (x * L(x,y,z)) \ u. [para(106454(a,1),26378(a,1,1)),rewrite([62160(11),68101(10),93971(11),159097(4),61780(8),68847(7),337(10),13654(7)])]. 194977 (x * (1 / L(x,y,z))) \ (L(x,y,z) \ 1) = 1 / x. [para(106454(a,1),12004(a,2,1)),rewrite([26414(6),185450(4)]),flip(a)]. 194981 L(L(x \ 1,y,z),x,L(x,u,w)) = L(1 / x,y,z). [para(106454(a,1),57669(a,2,1,1)),rewrite([26414(7),194977(13)])]. 194985 (1 / x) \ (L(x,y,z) \ 1) = x * (1 / L(x,y,z)). [para(106454(a,1),59166(a,2,1)),rewrite([26414(6),185450(4),194806(13)])]. 195035 R(L(x,y,z) \ 1,x,L(x,y,z) \ 1) = 1 / L(x,y,z). [para(106454(a,1),1735(a,1,1,2,1)),rewrite([190246(11),91483(5),91473(9),49(5),65026(4)]),flip(a)]. 195075 (x * (1 / L(x,y,z))) \ K(x,x \ 1) = (L(x,y,z) \ x) \ 1. [para(106454(a,1),107552(a,1,1)),rewrite([1816(9),6159(9),6329(8),6174(13),65026(12),118328(12),159097(12)])]. 195076 L(1 / L(x,y,z),x,x) = L(x,y,z) \ 1. [para(106454(a,2),90188(a,1,2)),rewrite([65121(8),194805(9),22934(7),71553(12),166074(10),162922(9)])]. 195093 (L(x,y,z) \ K(u,w)) \ 1 = L((x \ K(u,w)) \ 1,y,z). [back_rewrite(110401),rewrite([194816(6)]),flip(a)]. 195094 (L(x,y,z) \ 1) \ a(u,w,a(v5,v6,v7)) = L((x \ 1) \ a(u,w,a(v5,v6,v7)),y,z). [back_rewrite(59582),rewrite([194817(7)]),flip(a)]. 195106 x / (y * (1 / L(y,z,u))) = (y * (1 / L(y,z,u))) \ x. [back_rewrite(194903),rewrite([194950(7),51(2)])]. 195109 (x * (1 / L(x,y,z))) \ ((u * (L(x,y,z) \ 1)) * x) = R(u,L(x,y,z) \ 1,x). [back_rewrite(194875),rewrite([195106(10)])]. 195122 L(1 / x,y,z) \ (1 / x) = L(x,y,z) \ x. [hyper(7088,a,60426,a,b,163055,a),rewrite([91472(8),60426(14),162842(15),162882(15),171809(12),22655(12),91472(10)])]. 195124 L(L(T(x,y),z,u),w,v5) \ L(T(x,y),z,u) = L(L(x,z,u),w,v5) \ L(x,z,u). [hyper(7088,a,18820,a,b,163055,a),rewrite([91472(8),18820(16),163614(15),171809(14),22655(14),91472(12)])]. 195212 (L(x,y,z) \ x) \ (x * L(x,y,z)) = L(x,y,z) * L(x,y,z). [hyper(5083,a,163055,a(flip),b,13287,a(flip)),rewrite([91483(2),411(7),91467(6),411(8),91467(7),50(7),411(10),91467(9)])]. 195393 x * (L(1 / x,y,z) \ 1) = L(x \ 1,y,z) \ x. [back_rewrite(166096),rewrite([195122(7),173671(4)]),flip(a)]. 195685 (L(a(x,a(y,z,u),w) * v5,v6,v7) \ v5) \ v5 = L(a(x,a(y,z,u),w) * v5,v6,v7). [hyper(295,a,168504,a(flip),b,91467,a),rewrite([168504(8),62627(9),6592(12)])]. 195715 a(x,a(y,z,u),w) * L(v5,v6,v7) = L(a(x,a(y,z,u),w) * v5,v6,v7). [hyper(5081,a,168504,a(flip),b,91467,a(flip)),rewrite([168504(8),62627(9),195685(8),69930(7),7734(10),170081(9)])]. 195716 L(x,y,z) * a(u,a(w,v5,v6),v7) = L(a(u,a(w,v5,v6),v7) * x,y,z). [hyper(5081,a,91467,a(flip),b,168504,a(flip)),rewrite([168504(12),62627(13),195685(12),69930(11),195715(11),51(10)]),flip(a)]. 195779 T(x,T(((y / z) / y) * L(y,u,w),v5)) = T(x,T(L(y,u,w) / z,v5)). [para(91467(a,1),122622(a,1,2,1,1)),rewrite([61871(10),158527(8)]),flip(a)]. 195781 a(x * L(x,y,z),L(x,y,z),u) \ (x * u) = (L(x,y,z) \ x) * (L(x,y,z) * u). [para(91467(a,1),7596(a,1,1,2)),rewrite([163148(4),91467(11)])]. 195795 x \ ((L(x,y,z) \ x) * (L(x,y,z) * u)) = L(u,L(x,y,z),x * L(x,y,z)). [para(91467(a,1),381(a,1,2,2,1)),rewrite([91467(9),165303(10)])]. 195883 ((x / y) * z) \ (x / y) = ((y \ x) * z) \ (y \ x). [para(7760(a,1),26416(a,1,1)),rewrite([167131(9),50(7)]),flip(a)]. 196427 L(x,y,z * (u * (T(z,w) * u))) = L(x,y,z * (u * (z * u))). [para(25335(a,1),83146(a,2,3)),rewrite([64022(6),70455(4),85484(6),46365(10)]),flip(a)]. 197036 (T(x,y) * z) \ (x * ((x * y) / x)) = (x * z) \ (x * y). [para(203(a,1),52451(a,1,2))]. 197045 (T(x,y) * z) \ (x * (T(x,y) * u)) = (x * z) \ (x * (x * u)). [para(241(a,1),52451(a,1,2))]. 197060 ((x / y) * z) \ ((x / y) * u) = ((y \ x) * z) \ ((y \ x) * u). [para(412(a,1),52451(a,1,1,1)),rewrite([412(4)]),flip(a)]. 197097 (a(x,y,z) * T(u,w)) \ (T(u,w) * v5) = (u * a(x,y,z)) \ (u * v5). [para(1143(a,2),52451(a,1,1))]. 197121 ((x \ 1) * y) \ ((x \ 1) * z) = (x * y) \ (x * z). [para(52451(a,2),26378(a,2)),rewrite([180359(6),147(3),948(2),49(3),52451(12),197060(10)]),flip(a)]. 197500 ((x \ 1) * y) \ (a(z,u,a(w,v5,v6)) \ v7) = ((x \ a(z,u,a(w,v5,v6))) * y) \ v7. [para(31938(a,1),12009(a,2,1)),rewrite([32244(8),547(6),24886(6)]),flip(a)]. 197626 T(x,a(y,z,y) * u) = T(x,u). [hyper(295,a,58,a(flip),b,89231,a),rewrite([29936(8),50(7),58(5)])]. 197677 (1 / (a(x,y,x) * z)) \ (z \ (a(x,y,x) * L(a(x,y,x) \ z,u,w))) = L(a(x,y,x) * z,u,w). [hyper(5083,a,89231,a(flip),b,70237,a),rewrite([69930(9)])]. 197722 (x * (a(y,z,y) * u)) \ w = (x * u) \ (a(y,z,y) \ w). [para(11786(a,1),89231(a,1,1)),rewrite([5527(2),197626(7),410(6)])]. 197768 (x \ (a(y,z,y) \ 1)) \ u = a(y,z,y) * ((x \ 1) \ u). [para(89231(a,1),68073(a,1,2)),rewrite([7748(5),7748(9),144118(8),101574(7),68073(4),89231(9)]),flip(a)]. 197771 L(x,y \ (a(z,u,z) \ w),v5) = L(x,y \ w,v5 * a(z,u,z)). [para(89231(a,1),68875(a,1,2,1)),rewrite([197768(5),68878(6),89198(4),89231(7)]),flip(a)]. 197774 a(x,y \ (a(z,u,z) \ w),v5) = a(x,y \ w,a(z,u,z) * v5). [para(89231(a,1),68852(a,1,2,1)),rewrite([197768(5),169711(6),30042(4),89231(7)]),flip(a)]. 197784 (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). [para(89231(a,1),72702(a,1,2)),rewrite([7749(7),51(6),89186(7)]),flip(a)]. 197806 T(x \ (a(y,z,y) \ 1),x) = 1 / (a(y,z,y) * x). [para(89231(a,1),66904(a,1,1)),rewrite([197626(7)])]. 197872 a(x,a(y,z,y) * u,w) = a(x,u,a(y,z,y) * w). [para(89231(a,1),135870(a,1,2)),rewrite([197774(6),135870(6)]),flip(a)]. 197931 a(x,y,a(z,u,z) * w) = a(x,y,w). [back_rewrite(144139),rewrite([197722(9),29936(8),50(7),54(5),197872(4)]),flip(a)]. 198133 (x * (y * a(z,u,a(w,v5,v6)))) / v7 = ((x * y) / v7) * a(z,u,a(w,v5,v6)). [para(7735(a,1),15045(a,2,1)),rewrite([17629(5)]),flip(a)]. 198162 (a(a(x,y,z),u,w) * (v5 * a(v6,v7,v8))) / v9 = (a(v6,v7,v8) * (a(a(x,y,z),u,w) * v5)) / v9. [para(7727(a,1),15045(a,2,1)),flip(a)]. 198163 (a(a(x,y,z),u,w) * (v5 * v6)) / v7 = (v5 * (v6 * a(a(x,y,z),u,w))) / v7. [para(7727(a,2),15045(a,1,1)),rewrite([7727(4),7733(9)])]. 198256 T(x,((a(y,z,u) * w) / v5) \ v6) = T(x,((w * a(y,z,u)) / v5) \ v6). [para(15045(a,1),125629(a,2,2,1)),rewrite([125629(6)])]. 198257 T(x,T(y \ (a(z,u,w) * v5),v6)) = T(x,T(y \ (v5 * a(z,u,w)),v6)). [para(15045(a,1),121523(a,1,2,1)),rewrite([121523(6)]),flip(a)]. 198258 T(x,(y * a(z,u,w)) / v5) = T(x,y / (a(z,u,w) \ v5)). [para(15045(a,1),3346(a,2,2)),rewrite([3346(5),121314(4)]),flip(a)]. 198567 a(x,y,a(z,u,w)) * (1 / v5) = a(x,y,a(z,u,w)) / v5. [hyper(5142,a,7729,a,b,76184,a),rewrite([7729(6),192613(6),5534(7),52(5)]),flip(a)]. 198605 (1 / x) * a(y,z,a(u,w,v5)) = a(y,z,a(u,w,v5)) / x. [hyper(5142,a,9304,a(flip),b,76184,a),rewrite([5534(9),179794(7),52(4),198567(10)])]. 198726 T(x * y,y \ (y \ 1)) \ T(x,y \ (y \ 1)) = L(1 / y,y,x). [hyper(5083,a,22655,a(flip),b,76184,a),rewrite([61772(5),64765(4),65092(7),77481(7),61772(10),122755(9),61772(17),64765(16),85295(17),51(14)])]. 198958 K(x,L(T(y,z / u),u,z) * (z * (1 / u))) = K(x,z * ((1 / u) * y)). [para(76184(a,1),229(a,2,2)),rewrite([76435(5),60(3)])]. 198985 K(x,L(y,z,u) * (u * (1 / z))) = K(x,T(((1 / z) * y) * u,z)). [para(76184(a,1),7197(a,1,2,1)),rewrite([76435(8),36551(7),36248(7)]),flip(a)]. 199060 (T(x,y) \ z) \ ((K(y,x) / u) * w) = (x \ z) \ ((1 / u) * w). [para(76184(a,2),33918(a,1,2)),rewrite([75459(6),5539(6)])]. 199166 L(x,y,z * ((K(u,w) / v5) * v6)) = L(x,y,z * (v5 * v6)). [para(76184(a,2),83105(a,1,3,2)),rewrite([75459(4),5539(4),85462(10)])]. 199196 T(x * K(x * ((1 / y) * z),x),y \ z) = R(x,(1 / y) * z,x). [para(76184(a,2),1735(a,1,1,2,1)),rewrite([76184(5),75013(10)])]. 199306 T(x,x \ 1) \ a(y,z,a(u,w,v5)) = a(y,z,a(u,w,v5)) / x. [back_rewrite(77726),rewrite([198567(11)])]. 199307 T(x \ a(y,z,a(u,w,v5)),x) = a(y,z,a(u,w,v5)) / x. [back_rewrite(71683),rewrite([198567(9)])]. 199349 K(x,T(((1 / y) * T(z,u / y)) * u,y)) = K(x,u * ((1 / y) * z)). [back_rewrite(198958),rewrite([198985(8)])]. 200338 T(x,y * (z \ (y \ 1))) = T(x,T(z \ 1,y)). [para(30824(a,1),122662(a,1,2,2)),rewrite([58070(6),12024(7),60848(7),324(6),188983(11),49(9)])]. 200485 T(x * a(y,z,a(u,w,v5)),v6) / v7 = (T(x,v6) / v7) * a(y,z,a(u,w,v5)). [para(149(a,1),17630(a,2,1,1)),rewrite([15334(5),14617(4)])]. 201034 R(x,y,z * K(u,w)) = R(x,y,z). [hyper(295,a,57,a(flip),b,179006,a),rewrite([7726(10),7726(9),77(8),49(7),57(7)])]. 201068 (x * y) / (z * K(u,y)) = (x * T(y,u)) / z. [para(149(a,1),179006(a,1,1,2)),flip(a)]. 201163 (x * (y * (z \ 1))) / (u * K(w,v5)) = (x * (y * (z \ K(v5,w)))) / u. [para(72702(a,2),179006(a,1,1,2)),rewrite([67625(4),73935(5),51(4)]),flip(a)]. 201172 (x * (y * (z * (L(z,u,w) \ K(v5,v6))))) / v7 = (x * ((L(z,u,w) \ z) * y)) / (v7 * K(v6,v5)). [para(91529(a,1),179006(a,1,1,2)),rewrite([7726(5),162956(4)])]. 201268 K(x,y) * R(z,u,w) = R(K(x,y) * z,u,w). [back_rewrite(102520),rewrite([201034(4)])]. 201518 R(K(x,y) / z,u,w) * (z * K(y,x)) = z * R(z \ 1,u,w). [back_rewrite(194564),rewrite([201268(7),5784(6)]),flip(a)]. 201574 R(K((x * y) * z,u) * x,y,z) = T((x * y) * z,u) / (y * z). [back_rewrite(176459),rewrite([201268(5)])]. 201669 (x * R(y,z,u)) / T(x,w) = R((x * y) / T(x,w),z,u). [back_rewrite(151373),rewrite([201268(5),61(6),6492(7),88702(6),201268(6),9602(5),10948(5),201268(5),9138(4),42869(4)]),flip(a)]. 201782 (x * y) * R(z * K((x * y) * z,u),x,y) = a(z,x,y) * T((x * y) * z,u). [back_rewrite(102440),rewrite([201268(6),41141(5)])]. 201822 (x \ K(y,z)) * R((x \ K(y,z)) \ u,w,v5) = x \ R(x * u,w,v5). [back_rewrite(62680),rewrite([201268(6),5784(5)]),flip(a)]. 201843 R(x,y,z) * K(u,w) = R(x * K(u,w),y,z). [back_rewrite(11456),rewrite([201268(3),61(4),10078(3)]),flip(a)]. 201883 (K(x,y) / z) \ R(K(x,y) / z,u,w) = z * R(z \ 1,u,w). [back_rewrite(194570),rewrite([201518(12)])]. 201973 R(T(x * K(y * R(x,z,u),x),y),z,u) = R(R(x,z,u),y,R(x,z,u)). [back_rewrite(5635),rewrite([201843(6),108729(5)])]. 202072 (x * (1 / y)) * T(y,x) = (y * x) * (y \ 1). [back_rewrite(191030),rewrite([201843(3),94253(3)]),flip(a)]. 202160 (T(R(x,y,z) \ u,w) \ u) * K(R(x,y,z) \ u,x) = R(x * K(w,u / R(x,y,z)),y,z). [back_rewrite(41289),rewrite([201843(13)])]. 202387 x * ((y * y) * (x \ 1)) = T(y * y,x \ 1). [hyper(5081,a,6,a(flip),b,202072,a),rewrite([180145(9),8700(10),7726(9),189093(9)])]. 202607 K(x,T(y,z) \ ((z * (1 / y)) \ u)) = K(x,y * ((y * z) \ u)). [para(202072(a,1),12016(a,1,2,1)),rewrite([12016(6),60845(6),324(5)]),flip(a)]. 202634 (T(x,y) * (1 / z)) * T(z,x) = K(x,y) * ((z * x) * (z \ 1)). [para(202072(a,1),8630(a,1,2)),flip(a)]. 202724 (x \ L(x,y,z)) * (1 / x) = L(1 / x,y,z). [para(13654(a,1),202072(a,1,1)),rewrite([192584(6),6174(8),3334(7),8700(8),26653(7),147(6,R),51(3),98305(10)]),flip(a)]. 202753 ((L(x,y,z) \ x) * u) * ((L(x,y,z) \ x) \ 1) = R(u,L(x,y,z) \ x,L(x,y,z) \ x). [para(91472(a,1),202072(a,1,2)),rewrite([91470(4),73648(8),91470(7),89886(8)]),flip(a)]. 202807 T(x * x,y / z) = T(x * x,z \ y). [para(51551(a,1),202072(a,1,2)),rewrite([202634(8),6(7),202387(7),39196(7),123794(5),20755(9),19053(9),202387(8),54262(8),92038(8)])]. 202966 T(x * x,y \ z) \ y = (z / y) \ ((x * x) \ z). [back_rewrite(142073),rewrite([202807(3)])]. 202972 T(x * x,T(y,z) \ u) = T(x * x,y \ u). [back_rewrite(43051),rewrite([202807(4),202807(7)])]. 203025 R(x,y,T(z,u)) = R(x,y,z). [hyper(5081,a,57,a(flip),b,201068,a),rewrite([7726(8),52958(7),235(7),57(6)])]. 203027 (x * T(y * y,z)) / u = x / (u / T(y * y,z)). [hyper(295,a,179795,a(flip),b,201068,a),rewrite([72446(5),198(4),67437(4),74048(5)]),flip(a)]. 203040 K(x * K(y,z),z) = K(x,z). [hyper(5083,a,201068,a(flip),b,147,a(flip)),rewrite([7725(4),86499(3),2045(2),235(3),517(3)]),flip(a)]. 203122 (x * (y / z)) / (u * K(w,z \ y)) = (x * T(y / z,T(w,z))) / u. [para(1205(a,2),201068(a,2,1,2)),rewrite([1039(5),412(4),1205(10)])]. 203302 (x \ (y * T(z,u))) \ L(x \ (y * T(z,u)),w,v5) = (x \ (y * z)) \ L(x \ (y * z),w,v5). [para(201068(a,1),64245(a,1,1)),rewrite([201068(7),64245(8),12023(12),12023(16),11961(18),26458(17),5784(16)])]. 203323 x * (T(y \ z,u) / (z / y)) = x * ((z / y) \ T(y \ z,u)). [para(77870(a,2),201068(a,1,2)),rewrite([77870(6),155615(7),41920(4),7726(6),96865(5),42430(10)]),flip(a)]. 203529 ((x * y) \ ((y * z) * x)) \ L((x * y) \ ((y * z) * x),u,w) = R(z,y,x) \ L(R(z,y,x),u,w). [back_rewrite(185130),rewrite([203302(14),203025(13),203025(14)])]. 203564 R(x,y,z \ (z \ 1)) = x. [back_rewrite(154837),rewrite([203025(5)])]. 203594 R(x,T(y,z),u) * (K(y,z) * (u * y)) = (x * T(y,z)) * T(u,y). [back_rewrite(132430),rewrite([203025(3)])]. 203618 a(x,y,z) * ((z * y) * x) = (z * y) * R(x,y,z). [back_rewrite(102300),rewrite([203025(7)])]. 203630 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [back_rewrite(101885),rewrite([203025(3)])]. 203677 T(x,y) / (x * y) = R(1 / y,y,x). [back_rewrite(94681),rewrite([203025(4)]),flip(a)]. 203700 R(x,a(y,a(z,u,w),v5),v6) = x. [back_rewrite(80432),rewrite([203025(4)])]. 203704 R(x,y,z) * (z * y) = (x * y) * T(z,y). [back_rewrite(30906),rewrite([203025(2)])]. 203712 R(x,y / z,z) = R(x,z \ y,z). [back_rewrite(19172),rewrite([203025(4)]),flip(a)]. 203724 ((x * y) * T(z,y)) / (z * y) = R(x,y,z). [back_rewrite(6622),rewrite([203025(7)])]. 203774 x * ((y / z) \ T(z \ y,x)) = ((z \ y) * x) / (y / z). [back_rewrite(42301),rewrite([203323(5)])]. 203874 R((x / y) \ z,y \ x,y) = T((z * y) / x,x / y). [back_rewrite(179809),rewrite([203712(4)])]. 204224 R(x / (y / z),z \ y,z) = (x * z) / y. [back_rewrite(19139),rewrite([203712(4)])]. 204228 R(x,y \ z,y) * z = (x * (z / y)) * y. [back_rewrite(19130),rewrite([203712(2)])]. 204270 R(x,y,L(T(z,u),w,v5)) = R(x,y,L(z,w,v5)). [para(60(a,1),203025(a,1,3))]. 204271 R(x,y,R(T(z,u),w,v5)) = R(x,y,R(z,w,v5)). [para(61(a,1),203025(a,1,3))]. 204273 R(x,y,z / u) = R(x,y,u \ z). [para(412(a,1),203025(a,1,3)),flip(a)]. 204274 R(x,y,K(z,u) * w) = R(x,y,w). [para(10078(a,1),203025(a,1,3)),rewrite([201034(3)]),flip(a)]. 204275 R(x,y,(z \ u) \ u) = R(x,y,z). [para(411(a,1),203025(a,1,3))]. 204278 R(x,y,z \ T(u,w)) = R(x,y,z \ u). [para(96903(a,1),203025(a,1,3)),rewrite([204274(4)]),flip(a)]. 204280 R(x,y,z) * (y * T(z,u)) = (x * y) * T(z,u). [para(203025(a,1),401(a,1,1))]. 204284 R(x,y,R(z,u,z)) = R(x,y,z). [para(1735(a,1),203025(a,1,3)),rewrite([201034(6)])]. 204285 R(x,y,(z \ K(u,w)) \ 1) = R(x,y,z). [para(69015(a,1),203025(a,1,3)),rewrite([201034(8)])]. 204288 R(x,y,z \ (K(u,w) * v5)) = R(x,y,z \ v5). [para(120119(a,1),203025(a,1,3)),rewrite([201034(5),203025(3)]),flip(a)]. 204299 ((x * y) * L(T(z,y),u,w)) / (L(z,u,w) * y) = R(x,y,L(z,u,w)). [back_rewrite(147511),rewrite([204270(10)])]. 204348 R(1 / x,x * y,x \ 1) = L(x \ 1,y,x). [back_rewrite(190783),rewrite([204273(6)])]. 204454 R(x,T(y,z * z),z \ 1) = R(x,(z * z) \ y,z). [back_rewrite(72831),rewrite([204273(5)])]. 204510 R(x,K(y,z) * u,w) = R(x,u,w). [back_rewrite(139548),rewrite([204274(4)]),flip(a)]. 204513 R(x,T(y,z),u) = R(x,y,u). [back_rewrite(138154),rewrite([204274(3)]),flip(a)]. 204523 R(x,y / T(z,u),w) = R(x,z \ y,w). [back_rewrite(105702),rewrite([204513(4),204274(7)])]. 204535 R(x,y \ T(z,u),w) = R(x,y \ z,w). [back_rewrite(99860),rewrite([204274(4)]),flip(a)]. 204557 R(x,L(y * K(z,u),w,v5),v6) = R(x,L(y,w,v5),v6). [back_rewrite(87504),rewrite([204274(8)])]. 204558 R(x,L(T(y,z),u,w),v5) = R(x,L(y,u,w),v5). [back_rewrite(86505),rewrite([204274(4)]),flip(a)]. 204561 R(x,y \ K(z,u),w) = R(x,y \ 1,w). [back_rewrite(32571),rewrite([204274(5)])]. 204567 R(x,y * K(z,u),w) = R(x,y,w). [back_rewrite(10122),rewrite([204274(6)])]. 204591 T(x * y,x) \ R(y,R(x,y,x),x) = R(x,y,x) \ 1. [back_rewrite(152502),rewrite([204284(5)])]. 204595 R(x,y,x) / T(x * y,x) = R(1 / y,y,x). [back_rewrite(152475),rewrite([204284(4)]),flip(a)]. 204694 R(x,(y * y) \ z,y) = R(x,z,y \ 1). [back_rewrite(204454),rewrite([204513(5)]),flip(a)]. 204697 R(x,y,z) * (K(y,u) * (z * y)) = (x * T(y,u)) * T(z,y). [back_rewrite(203594),rewrite([204513(2)])]. 204808 R(x,y,z) \ ((y * x) * z) = T(y,x) * z. [back_rewrite(95536),rewrite([204513(2)])]. 204842 R(x,(y * y) \ z,(y * y) * u) = R(x,z,u). [back_rewrite(24013),rewrite([204513(8)])]. 204851 R(x,y,T(z,y) * u) = R(x,y,z * u). [back_rewrite(14037),rewrite([204513(4)])]. 205077 R(x,y / z,z * u) = R(x,z \ y,z * u). [back_rewrite(32956),rewrite([204851(5)]),flip(a)]. 205086 R(x,y \ 1,y * z) = R(x,y,(y \ 1) * z). [back_rewrite(190803),rewrite([205077(4)])]. 205228 R(x,y,L(z,u,w)) * (y * L(T(z,v5),u,w)) = (x * y) * L(T(z,v5),u,w). [para(60(a,1),204280(a,1,2,2)),rewrite([60(9)])]. 205231 R(R(x,y,z),u,w) * (y * T(z,v5)) = (R(x,u,w) * y) * T(z,v5). [para(65(a,1),204280(a,1,1))]. 205522 R(x,y,(z * z) * u) = R(x,y,u). [hyper(5142,a,315,a(flip),b,203704,a),rewrite([33584(6),180025(9),72446(8),52(7),203724(5),393(4)]),flip(a)]. 205574 R(x,y,z) * (x \ (z * y)) = x \ ((x * y) * T(z,y)). [hyper(5083,a,203704,a(flip),b,62761,a),flip(a)]. 205590 L(R(x,y,z),u,w) * (z * y) = (L(x,u,w) * y) * T(z,y). [para(63(a,1),203704(a,1,1))]. 205635 R(x,y,z) * (K(u,w) * (z * y)) = (x * y) * T(K(u,w) * z,y). [para(7724(a,1),203704(a,1,2)),rewrite([204274(3)])]. 205680 R(x,y,z) * (T(y,u) * z) = (x * T(y,u)) * z. [para(845(a,1),203704(a,1,2)),rewrite([204513(3),204513(2),27543(10),27781(10),14158(10)])]. 205735 (x * (K(y,z) * u)) * T(w,u) = (x * u) * T(K(y,z) * w,u). [para(203704(a,1),10794(a,1,2)),rewrite([6492(2),38494(6),205635(10)])]. 205744 (x / T(y,z)) * (u * K(y,z)) = (x / y) * T(u,K(y,z)). [para(41903(a,1),203704(a,2,1)),rewrite([5785(4)])]. 205826 (x * T(y,z)) * L(y,u,w) = (x * y) * L(T(y,z),u,w). [para(86612(a,1),203704(a,1,2)),rewrite([204513(3),205228(6),60(9),4481(8)]),flip(a)]. 205829 (x * y) * T(K(y,z) * u,y) = (x * T(y,z)) * T(u,y). [para(86499(a,2),203704(a,2,2)),rewrite([204274(3),7724(4),204697(5),86499(8)]),flip(a)]. 205852 R(x,L(y,z,u),y \ 1) * (y * L(1 / y,z,u)) = (x * L(y,z,u)) * (1 / y). [para(98289(a,1),203704(a,1,2)),rewrite([6174(15),66904(14)])]. 205920 a(L(x,R(y,z,u),u * z) * ((y * z) * u),w,v5) = a((u * z) * (R(y,z,u) * x),w,v5). [para(203704(a,1),24885(a,1,1,2)),rewrite([13887(8)])]. 205954 R(x,L(y \ 1,z,u),y) * (y \ L(y,z,u)) = (x * L(1 / y,z,u)) * y. [para(69933(a,1),203704(a,1,2)),rewrite([6174(15),14382(15)])]. 205971 R(x,L(y,z,u) \ 1,y) * (L(y,z,u) \ y) = (x * (L(y,z,u) \ 1)) * T(y,y \ 1). [para(159097(a,1),203704(a,1,2)),rewrite([137750(15)])]. 206011 R(x,(y * y) \ z,u) = R(x,z,u). [back_rewrite(204842),rewrite([205522(5)])]. 206053 R(x,y * (z * z),u) = R(x,y,u). [back_rewrite(393),rewrite([205522(6)])]. 206104 R(x,y,z \ 1) = R(x,y,z). [back_rewrite(204694),rewrite([206011(3)]),flip(a)]. 206130 R(x,y,T(z * z,y) \ u) = R(x,y,u). [back_rewrite(142595),rewrite([206011(7)])]. 206157 R(x,L(y,z,u),y) * (y * L(1 / y,z,u)) = (x * L(y,z,u)) * (1 / y). [back_rewrite(205852),rewrite([206104(4)])]. 206209 R(1 / x,x * y,x) = L(x \ 1,y,x). [back_rewrite(204348),rewrite([206104(6)])]. 206218 R(x,y,z \ K(u,w)) = R(x,y,z). [back_rewrite(204285),rewrite([206104(5)])]. 206224 R(L(x,y,z) \ 1,x,L(x,y,z)) = 1 / L(x,y,z). [back_rewrite(195035),rewrite([206104(7)])]. 206251 R(x,y,L(y,z,u)) * (L(y,z,u) \ y) = (x * y) * (L(y,z,u) \ 1). [back_rewrite(165907),rewrite([206104(4)])]. 206255 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = R(1 / x,x,L(x,y,z)). [back_rewrite(165902),rewrite([206104(12)])]. 206282 R(x,L(y,z,u),y) * (y \ L(y,z,u)) = (x * L(y,z,u)) * (y \ 1). [back_rewrite(66858),rewrite([206104(4)])]. 206296 R(x,L(y,z,u),y) * (y * L(y \ K(w,v5),z,u)) = (x * L(y,z,u)) * (y \ K(w,v5)). [back_rewrite(102090),rewrite([206218(4)])]. 206341 (L(x,y,z) * u) * u = L((x * u) * u,y,z). [hyper(5081,a,21764,a,b,205590,a),rewrite([409(2),25958(7),401(6)])]. 206631 R(x,y,z \ (a(a(u,w,v5),v6,v7) \ 1)) = R(x,y,a(a(u,w,v5),v6,v7) * z). [para(11962(a,1),206104(a,1,3))]. 206632 R(x,y,(z * z) \ ((u * w) \ 1)) = R(x,y,u * (w * (z * z))). [para(11968(a,1),206104(a,1,3))]. 206634 R(x,y,(z * u) \ (w * w)) = R(x,y,((w * w) \ z) * u). [para(26221(a,1),206104(a,1,3)),rewrite([49(4)])]. 206638 R(x,y,T(z,u) \ w) = R(x,y,z \ w). [para(12020(a,2),206104(a,1,3)),rewrite([49(4),206218(4)]),flip(a)]. 206639 R(x,y,L(K(z,u) * w,v5,v6)) = R(x,y,L(w,v5,v6)). [para(27503(a,1),206104(a,1,3)),rewrite([49(4),206218(4)]),flip(a)]. 206651 R(x,y,(z * z) \ u) = R(x,y,u \ (z * z)). [para(23536(a,1),206104(a,1,3)),rewrite([49(3)]),flip(a)]. 206659 R(x,y,(z * z) \ u) = R(x,y,u). [back_rewrite(206130),rewrite([206638(4)])]. 206697 R(x,x \ L(T(y,z),u,w),y \ v5) \ (L(y,u,w) * (y \ v5)) = (x \ L(T(y,z),u,w)) * (T(y,z) \ v5). [back_rewrite(95616),rewrite([206638(6)])]. 206708 R(x,y,z \ (u * u)) = R(x,y,z). [back_rewrite(206651),rewrite([206659(3)]),flip(a)]. 206709 R(x,y,z * (u * (w * w))) = R(x,y,z * u). [back_rewrite(206632),rewrite([206659(6),206104(4)]),flip(a)]. 206730 R(x,L(y \ 1,z,u),w) = R(x,L(y,z,u),w). [back_rewrite(158372),rewrite([206659(4)]),flip(a)]. 206750 R(x,y * (z \ 1),u) = R(x,y * z,u). [back_rewrite(73845),rewrite([206659(4)]),flip(a)]. 206751 R(x,y \ 1,z) = R(x,y,z). [back_rewrite(72736),rewrite([206659(3)]),flip(a)]. 206757 R(x,y,((z * z) \ u) * w) = R(x,y,u * w). [back_rewrite(206634),rewrite([206708(4)]),flip(a)]. 206772 (x * L(1 / y,z,u)) * y = (x * L(y,z,u)) * (y \ 1). [back_rewrite(205954),rewrite([206730(4),206282(5)]),flip(a)]. 206792 R(x,x \ y,x) = R(x,y * x,x). [back_rewrite(124065),rewrite([206750(4)]),flip(a)]. 206809 R(x,L(y,z,u),y) * (L(y,z,u) \ y) = (x * (L(y,z,u) \ 1)) * T(y,y \ 1). [back_rewrite(205971),rewrite([206751(4)])]. 206819 R(x,y,(y \ 1) * z) = R(x,y,y * z). [back_rewrite(205086),rewrite([206751(4)]),flip(a)]. 206892 R(x,y \ K(z,u),w) = R(x,y,w). [back_rewrite(204561),rewrite([206751(6)])]. 206904 (x * (1 / L(x,y,z))) \ ((u * (L(x,y,z) \ 1)) * x) = R(u,L(x,y,z),x). [back_rewrite(195109),rewrite([206751(14)])]. 206943 ((x * (y \ 1)) * R(y \ 1,z,u)) / (y \ R(1 / y,z,u)) = R(x,y,R(y \ 1,z,u)). [back_rewrite(174007),rewrite([206751(18)])]. 206951 R(x,y,L(1 / y,z,u)) = R(x,y,L(y,z,u)). [back_rewrite(158486),rewrite([206751(4)]),flip(a)]. 206986 R(x,x,y) \ y = (x \ 1) * y. [back_rewrite(95514),rewrite([206751(3)])]. 206996 ((x * x) \ y) / ((x \ 1) * y) = R(1 / x,x,y). [back_rewrite(94848),rewrite([206751(11)])]. 207003 ((x \ 1) * (x \ y)) / ((x \ 1) * y) = R(x \ 1,x,y). [back_rewrite(68330),rewrite([206751(13)])]. 207057 R((x \ 1) \ 1,x,x * y) = (x * y) / L(y,x,x). [back_rewrite(190829),rewrite([206819(8)])]. 207078 R(1 / x,x,L(x,y,z)) = x \ 1. [back_rewrite(160491),rewrite([206951(6)])]. 207080 R(x,x,L(x,y,z)) = T(x,x \ 1). [back_rewrite(158490),rewrite([206951(4)])]. 207088 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [back_rewrite(206255),rewrite([207078(10)])]. 208151 K(x \ (y / T(z,u)),z) = K(x \ (y / z),z). [para(95661(a,1),203040(a,1,1))]. 208153 K(x \ T(y,z),z) = K(x \ y,z). [para(95539(a,1),203040(a,1,1))]. 208221 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(412(a,1),208153(a,1,1,2)),flip(a)]. 208244 K(x * T(y,z),z) = K(x * y,z). [para(22931(a,1),208153(a,2,1)),rewrite([60(4),22931(5)])]. 208379 K(x \ (y / T(z,u)),z) = K(x \ (z \ y),z). [back_rewrite(208151),rewrite([208221(7)])]. 208451 R(K(x,y) * z,u,w) * v5 = K(x,y) * (R(z,u,w) * v5). [para(201268(a,1),7687(a,2,1)),rewrite([8(3),48(6)]),flip(a)]. 208456 R(x * K(y,z),u,w) * v5 = R(x,u,w) * (K(y,z) * v5). [para(201268(a,1),7452(a,1,2,1)),rewrite([74(3),6332(2),74(2),208451(6),9138(7),8546(6),53327(6),201843(7)]),flip(a)]. 208459 R(K(x,y) * z,u,w) \ v5 = R(z,u,w) \ (K(y,x) * v5). [para(201268(a,1),11892(a,2,1)),rewrite([5754(3),5539(7)]),flip(a)]. 208460 a(R(K(x,y) * z,u,w),v5,v6) = a(R(z,u,w),v5,v6). [para(201268(a,1),12077(a,1,1))]. 208461 a(R(x * K(y,z),u,w),v5,v6) = a(R(x,u,w),v5,v6). [para(201268(a,1),12550(a,1,1)),rewrite([208460(4),201843(5)]),flip(a)]. 208463 a(x * R(K(y,z) * u,w,v5),v6,v7) = a(x * R(u,w,v5),v6,v7). [para(201268(a,1),12546(a,1,1,2))]. 208465 a(x,R(K(y,z) * u,w,v5),v6) = a(x,R(u,w,v5),v6). [para(201268(a,1),12465(a,1,2))]. 208466 a(x,y,R(K(z,u) * w,v5,v6)) = a(x,y,R(w,v5,v6)). [para(201268(a,1),13929(a,1,3))]. 208468 a(x,R(y * K(z,u),w,v5),v6) = a(x,R(y,w,v5),v6). [para(201268(a,1),14794(a,1,2)),rewrite([208465(4),201843(5)]),flip(a)]. 208487 (x * R(K(y,z) * u,w,v5)) \ (x * (K(y,z) * (R(u,w,v5) * v6))) = L(v6,R(u,w,v5),x). [para(201268(a,1),24266(a,1,1,2)),rewrite([5538(9),7725(9),5538(13),26403(14)])]. 208488 L(x,y,R(K(z,u) * w,v5,v6)) = L(x,y,R(w,v5,v6)). [para(201268(a,1),24266(a,1,2,1)),rewrite([5539(10),208451(9),24267(10),5539(6),5539(5),201268(5)]),flip(a)]. 208490 L(x,R(K(y,z) * u,w,v5),v6) = L(x,R(u,w,v5),v6). [para(201268(a,1),24267(a,1,1,2)),rewrite([208487(10),5539(5),201268(5)]),flip(a)]. 208497 (x \ K(y,z)) * R(K(z,y) * u,w,v5) = (x \ 1) * R(u,w,v5). [para(201268(a,1),31938(a,1,2))]. 208532 L(x,y,R(z * K(u,w),v5,v6)) = L(x,y,R(z,v5,v6)). [para(201268(a,1),85526(a,1,3,1)),rewrite([201843(5),7726(4),208488(6),5539(8)])]. 208533 L(x,y,z * R(K(u,w) * v5,v6,v7)) = L(x,y,z * R(v5,v6,v7)). [para(201268(a,1),83105(a,1,3,2))]. 208662 a(((x * y) \ ((x * z) * y)) * u,w,v5) = a(R(z,x,y) * u,w,v5). [back_rewrite(94254),rewrite([208456(4),12546(5)]),flip(a)]. 208681 a(x,y,R(z \ T(u,w),v5,v6)) = a(x,y,R(z \ u,v5,v6)). [back_rewrite(136701),rewrite([208466(5)]),flip(a)]. 208682 a(x,y,R(z * K(u,w),v5,v6)) = a(x,y,R(z,v5,v6)). [back_rewrite(136693),rewrite([208466(4)]),flip(a)]. 208688 L(x,R(y * K(z,u),w,v5),v6) = L(x,R(y,w,v5),v6). [back_rewrite(28164),rewrite([208490(4)]),flip(a)]. 208697 L(x,y,(z * u) \ ((z * w) * u)) = L(x,y,R(w,z,u)). [back_rewrite(94547),rewrite([208532(4)]),flip(a)]. 208717 L(x,R((y \ K(z,u)) \ 1,w,v5),v6) = L(x,R(y,w,v5),v6). [back_rewrite(110402),rewrite([208688(10)])]. 209136 L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)). [para(50481(a,1),208697(a,1,3,1)),rewrite([26221(10),81530(9),98644(10),143918(6),28010(6),204273(7),206104(7),204513(5)]),flip(a)]. 209182 L(T(x,R(y,z,u) \ 1),R(y,z,u),L(y,z,u)) = R(y,z,u) * (x * (R(y,z,u) \ 1)). [para(208697(a,2),61614(a,1)),rewrite([208697(10),209136(7)])]. 209304 L(x,y,(L(T(z,u),w,v5) \ z) \ ((z * v6) * (L(T(z,u),w,v5) \ 1))) = L(x,y,L(v6,z,L(z,w,v5))). [para(162937(a,1),208697(a,1,3,1)),rewrite([206104(16),204270(14),209136(14)])]. 209326 L(x,y,L(L(z \ 1,u,w) * v5,z,v6)) = L(x,y,L(L(z,u,w) * v5,z,v6)). [para(135559(a,1),208697(a,1,3,2,1)),rewrite([83581(11),208697(9),209136(6),209136(12),28057(11),28083(11)])]. 209344 L(x,y,L(z,u,z)) = L(x,y,z). [para(202072(a,1),208697(a,1,3,2)),rewrite([410(2),50(6),26414(3),203025(5),209136(5),83639(5),83591(5)]),flip(a)]. 209608 L(x,y,(z * u) \ ((z * w) * u)) = L(x,y,L(w,z,u)). [back_rewrite(208697),rewrite([209136(7)])]. 209727 L(x,R(y \ 1,z,u),y) = L(x,y,L(y,z,u)). [back_rewrite(174230),rewrite([209136(8),83591(8)])]. 209748 R(T(x,x * R(x,y,z)),y,z) = L(R(x,y,z),x,L(x,y,z)). [back_rewrite(155833),rewrite([209136(7)])]. 209817 L(x,y,L(z,z \ u,u)) = L(x,y,(z \ u) * u). [back_rewrite(101668),rewrite([209136(3)])]. 209874 L(x,R(y,z,u),y) = L(x,y,L(y,z,u)). [back_rewrite(63214),rewrite([209136(4)])]. 209880 R(x,y,z) * (x \ ((R(x,y,z) \ 1) * u)) = x \ L(u,R(x,y,z),L(x,y,z)). [back_rewrite(62930),rewrite([209136(10)])]. 209955 L(x,y,L(R(z,u,w),v5,v6)) = L(x,y,L(L(z,u,w),v5,v6)). [para(64(a,1),209136(a,2,3)),rewrite([63(2)])]. 210014 L(x,y,L(L(T(z,u),w,v5),v6,v7)) = L(x,y,L(L(z,w,v5),v6,v7)). [back_rewrite(94081),rewrite([209955(4),209955(7)])]. 210028 L(x,y,L(L(z / u,w,v5),v6,v7)) = L(x,y,L(L(u \ z,w,v5),v6,v7)). [para(412(a,1),210014(a,1,3,1,1)),flip(a)]. 210057 L(x,y,L(L(z \ 1,u,w),v5,v6)) = L(x,y,L(L(z,u,w),v5,v6)). [back_rewrite(149535),rewrite([210028(5)])]. 210063 L(L(R(x,y,z),u,w),L(R(x,y,z),u,w),L(L(x,y,z),u,w)) = L(R((x \ 1) \ 1,y,z),u,w). [hyper(295,a,80774,a,b,209955,a),rewrite([411(7),71522(6),71523(5)]),flip(a)]. 210118 R(x,y,z) * (K(u,w) * K(v5,v6)) = R(x * (K(u,w) * K(v5,v6)),y,z). [hyper(5142,a,208456,a(flip),b,208456,a),rewrite([16532(7),7726(9)])]. 210143 R(x * K(y,z),u,w) \ L(R(x * K(y,z),u,w),v5,v6) = R(x,u,w) \ L(R(x,u,w),v5,v6). [hyper(5081,a,70526,a(flip),b,208456,a),rewrite([201843(3),201843(6),5754(16),208456(18),26458(17),5784(16),69933(14)])]. 210270 R(x * (K(y,z) * K(u,w)),v5,v6) / R(x * K(y,z),v5,v6) = K(u,T(w,x)). [hyper(5142,a,208456,a(flip),b,2729,a),rewrite([210118(5),6492(13),9776(13)])]. 210330 ((x * R(y * K(z,u),w,v5)) * v6) / (R(y,w,v5) * (K(z,u) * v6)) = R(x,R(y * K(z,u),w,v5),v6). [para(208456(a,1),57(a,1,2))]. 210359 (x * R(y * K(z,u),w,v5)) * v6 = (x * R(y,w,v5)) * (K(z,u) * v6). [para(208456(a,1),7687(a,1,2,2)),rewrite([208468(4),13987(8)]),flip(a)]. 210404 R(x \ 1,y,z) * (K(u,w) * v5) = R(x \ K(u,w),y,z) * v5. [para(31850(a,1),208456(a,1,1,1)),flip(a)]. 210543 R(x * (K(y,z) * K(u,w)),v5,v6) / v7 = R(x * K(y,z),v5,v6) / (v7 * K(w,u)). [para(208456(a,2),179006(a,1,1)),rewrite([201843(5),7726(4),201843(9)])]. 210558 R(x,R(y * K(z,u),w,v5),v6) = R(x,R(y,w,v5),v6). [back_rewrite(210330),rewrite([210359(5),57(10),204274(4)]),flip(a)]. 210582 R(x * K(y,z),u,w) / R(x * (K(y,z) * K(v5,v6)),u,w) = K(v6,T(v5,x)). [back_rewrite(210270),rewrite([210543(9),201843(8),7726(7)])]. 210703 R(x / (1 / y),y,y) = x * y. [hyper(5081,a,336,a(flip),b,204224,a),rewrite([206751(7)]),flip(a)]. 210711 R(a(x,y,z) \ u,a(x,y,z),x * (y * z)) = (u * (x * (y * z))) / ((x * y) * z). [para(54(a,1),204224(a,1,2)),rewrite([7337(5),6706(2)])]. 210712 (x * (y * z)) / (z * y) = x * K(y,z). [para(55(a,1),204224(a,1,2)),rewrite([80(3),9510(2),5785(5)]),flip(a)]. 210715 R(R(x / (y / z),u,w),z \ y,z) = R((x * z) / y,u,w). [para(204224(a,1),65(a,1,1)),flip(a)]. 210720 x / (y * K(z \ x,z)) = (z * (x / z)) / y. [para(197(a,1),204224(a,2,1)),rewrite([9510(3),5754(7),5826(10)])]. 210733 R(x / (y \ z),y \ z,y) = (x * T(y,y \ z)) / z. [para(2244(a,1),204224(a,1,1,2)),rewrite([3851(5),203025(7),204513(5)])]. 210749 (x / (y \ a(z,u,a(w,v5,v6)))) * a(z,u,a(w,v5,v6)) = x / (y \ 1). [para(12879(a,1),204224(a,1,2)),rewrite([6706(6),12879(6),8281(8),17628(10)]),flip(a)]. 210776 (x * (y * a(a(z,u,w),v5,v6))) / v7 = (x * y) / (a(a(z,u,w),v5,v6) \ v7). [para(7733(a,1),204224(a,2,1)),rewrite([6706(4),22277(11)]),flip(a)]. 210780 (x * (y * a(z,a(u,w,v5),v6))) / v7 = (x * y) / (a(z,a(u,w,v5),v6) \ v7). [para(7734(a,1),204224(a,2,1)),rewrite([6706(4),29488(11)]),flip(a)]. 210810 (x * (y \ 1)) / y = x * (y \ (1 / y)). [para(61612(a,1),204224(a,1,2)),rewrite([89766(3),92001(4),206104(8),392(6)]),flip(a)]. 210812 (x * a(y,a(z,u,w),v5)) / v6 = x / (a(y,a(z,u,w),v5) \ v6). [para(62478(a,2),204224(a,1,2)),rewrite([6706(3),62478(9),29488(10)]),flip(a)]. 210817 (x * T(y,z)) / L(T(y,z),u,w) = (x * y) / L(y,u,w). [para(64035(a,1),204224(a,1,2)),rewrite([188068(4),64035(4),203025(7),210733(6),177450(3)]),flip(a)]. 210819 (x * y) / (1 / y) = x * (y * y). [para(62160(a,2),204224(a,1,2)),rewrite([67495(3),67315(4),62160(7),88805(6)]),flip(a)]. 210823 (x * y) / (y \ 1) = x * ((1 / y) \ y). [para(67007(a,2),204224(a,1,2)),rewrite([65871(3),91988(4),67007(7),67477(8)]),flip(a)]. 210838 R(x / y,L(y,y,y),y) = x * (y \ 1). [para(70516(a,2),204224(a,1,2)),rewrite([337(4),206104(5),336(8)])]. 210845 (x * (1 / y)) / y = x / (y * y). [para(23192(a,1),204224(a,1,1,2)),rewrite([204273(8),206104(8),181578(6)]),flip(a)]. 210846 R((L(x,y,z) \ x) \ u,L(x,y,z) \ x,L(x,y,z)) = (u * L(x,y,z)) / x. [para(91483(a,1),204224(a,1,1,2)),rewrite([91470(3)])]. 210848 R(x / (y * K(z,z \ 1)),(z \ 1) \ (y * (1 / z)),z) = (x * (1 / z)) / (y * (z \ 1)). [para(93778(a,1),204224(a,1,2)),rewrite([41920(6),64714(3),204273(14),206104(14)])]. 210849 (x * (1 / y)) / (z * (y \ 1)) = (x * (y \ 1)) / (z * (1 / y)). [para(93778(a,2),204224(a,1,2)),rewrite([42256(6),93778(11),206104(14),210848(12)])]. 210863 R(a(x,y,y) \ z,a(x,y,y),x) = (z * x) / R(x,y,y). [para(102153(a,1),204224(a,1,2)),rewrite([102543(2),6706(2)])]. 210868 T(x / T(y,z),y) / u = (y \ x) / (u * K(y,z)). [para(104859(a,1),204224(a,2,1)),rewrite([9510(3),5754(6),5826(8)]),flip(a)]. 210889 T(x * K(y,z),y) / u = T(x,y) / (u * K(z,y)). [para(52958(a,1),204224(a,2,1)),rewrite([9510(3),5754(6),5826(8)]),flip(a)]. 210972 (a(a(x,y,z),u,w) * (v5 * v6)) / v7 = (v5 * v6) / (a(a(x,y,z),u,w) \ v7). [back_rewrite(198163),rewrite([210776(10)])]. 211111 (x * (y / T(x,z))) \ (y / T(x,z)) = T(y \ (x \ y),K(x,z)). [back_rewrite(113408),rewrite([210868(9),9665(8),178822(9),562(4)]),flip(a)]. 211119 T((x \ L(x,y,z)) \ u,w) / (u * K(x * (L(x,y,z) \ u),w)) = u \ ((x \ L(x,y,z)) \ u). [back_rewrite(189377),rewrite([210889(10)])]. 211165 (a(x,y,z) * (a(a(u,w,v5),v6,v7) * v8)) / v9 = (v8 * a(x,y,z)) / (a(a(u,w,v5),v6,v7) \ v9). [back_rewrite(198162),rewrite([210972(6)]),flip(a)]. 211200 T(x \ (y \ x),K(y,z)) = x \ (y \ x). [back_rewrite(119553),rewrite([211111(8),1391(5)])]. 211396 (x * (y \ 1)) / ((z * y) * (1 / y)) = (x * (1 / y)) / R(z,y,y). [para(112220(a,2),210849(a,1,2)),rewrite([112220(8),89886(7)]),flip(a)]. 211458 K(x \ 1,y / x) = K(x \ 1,x \ y). [para(210849(a,2),31592(a,1,1)),rewrite([210849(10),22024(6),104368(10),190246(8),6720(6),23270(6),31850(7),31849(8),76040(10)]),flip(a)]. 211788 (x \ L(x,y,z)) / (1 / L(x \ 1,y,z)) = x * (L(x \ 1,y,z) * L(x \ 1,y,z)). [hyper(5081,a,159652,a,b,210819,a),rewrite([159652(7),69933(12)]),flip(a)]. 211789 x * ((x \ y) * (x \ y)) = y / (1 / (x \ y)). [hyper(5081,a,134854,a,b,210819,a),rewrite([134854(8),51(6)])]. 211798 (x / y) * (y * y) = x / (1 / y). [hyper(5081,a,13287,a,b,210819,a),rewrite([1599(4),32892(5),53(5)])]. 211804 x * ((x \ y) * ((x \ 1) \ y)) = y / (1 / ((x \ 1) \ y)). [hyper(5081,a,134854,a(flip),b,210819,a),rewrite([51(12)])]. 211883 ((x \ y) * x) / (y / x) = y / ((x * (y / x)) / x). [para(160(a,2),210819(a,1,1)),rewrite([9510(6),48(6),9510(5),155625(5),96865(9),203774(9)]),flip(a)]. 211911 a(x,y,a(z,u,w)) * (v5 \ (1 / v5)) = (v5 \ a(x,y,a(z,u,w))) / v5. [para(12981(a,1),210819(a,1,1)),rewrite([337(7),62160(11)]),flip(a)]. 212016 (x * x) * (y \ (z / (x * x))) = T(y \ z,x \ (x \ 1)). [para(210819(a,2),79956(a,1,2,1)),rewrite([12024(5),112412(5),51(4),210819(7),20865(6),8515(7),2045(5),80535(5),172565(9),321(11)]),flip(a)]. 212050 T(x,(y * z) * y) = T(x,y * (z * y)). [para(210819(a,1),115174(a,1,2,1)),rewrite([40430(5),127159(4),4758(4),92240(8)])]. 212134 x / (1 / (a(y,z,u) \ x)) = ((a(y,z,u) \ x) \ 1) \ x. [back_rewrite(68047),rewrite([211789(7)])]. 212152 (x \ y) * (x * T(x,x \ y)) = y / (1 / x). [back_rewrite(32892),rewrite([211798(8)])]. 212157 x \ (((x \ 1) \ y) * ((x \ 1) \ y)) = y / (1 / ((x \ 1) \ y)). [back_rewrite(135362),rewrite([211804(14)])]. 212197 (x \ 1) * (x \ a(y,z,a(u,w,v5))) = (x \ a(y,z,a(u,w,v5))) / x. [back_rewrite(65940),rewrite([211911(6)]),flip(a)]. 212448 L(x,y,y) / (x * y) = K(y,x) / y. [hyper(5081,a,94930,a(flip),b,210712,a),rewrite([22934(6)]),flip(a)]. 212781 ((x * y) * z) / (z * y) = R(x * K(y,z),y,z). [para(401(a,1),210712(a,1,1)),rewrite([201843(7)])]. 213077 ((x * a(y,z,u)) * w) / (w * x) = R(a(y,z,u) * K(x,w),x,w). [para(1143(a,1),212781(a,1,1,1))]. 213204 ((x * y) \ ((z * y) * x)) \ L((x * y) \ ((z * y) * x),u,w) = R(z,y,x) \ L(R(z,y,x),u,w). [para(212781(a,1),64245(a,1,1)),rewrite([212781(7),210143(8)]),flip(a)]. 213349 ((x * R(y \ 1,z,u)) * (y \ 1)) / (y \ R(1 / y,z,u)) = R(x,R(y \ 1,z,u),y). [para(173697(a,1),212781(a,1,2)),rewrite([6332(18),948(17),49(14),206104(18)])]. 213444 R(x / (T(y,z) \ u),T(y,z) \ u,y) = (x * T(T(y,y \ u),z)) / u. [hyper(295,a,203025,a(flip),b,210733,a),rewrite([119627(10)])]. 213773 R(x \ 1,y,z) * L(R(K(u,w) * v5,v6,v7),v8,v9) = R(x \ K(u,w),y,z) * L(R(v5,v6,v7),v8,v9). [hyper(5081,a,102797,a,b,210404,a),rewrite([61(6),103024(7),26458(13),201268(12)]),flip(a)]. 213914 a(R(x \ K(y,z),u,w) * v5,v6,v7) = a(R(x \ 1,u,w) * v5,v6,v7). [para(210404(a,1),12467(a,2,1)),rewrite([61(4),12546(8),12519(6)]),flip(a)]. 213915 a(x * R(y \ K(z,u),w,v5),v6,v7) = a(R(y \ 1,w,v5) * x,v6,v7). [para(210404(a,2),12550(a,1,1)),rewrite([210404(6),213914(5)]),flip(a)]. 213920 a(x * (R(y \ K(z,u),w,v5) * v6),v7,v8) = a(x * (R(y \ 1,w,v5) * v6),v7,v8). [para(210404(a,1),13792(a,1,1,2))]. 213921 a(x,R(y \ K(z,u),w,v5) * v6,v7) = a(x,R(y \ 1,w,v5) * v6,v7). [para(210404(a,1),13932(a,2,2)),rewrite([61(4),13937(8),14771(6)]),flip(a)]. 213980 a(x * ((R(y \ K(z,u),w,v5) * v6) * v7),v8,v9) = a(x * ((R(y \ 1,w,v5) * v6) * v7),v8,v9). [para(210404(a,1),46302(a,2,1,2,1)),rewrite([61(4),46705(10),46679(8)]),flip(a)]. 213985 a(x * (y * (z * R(u \ K(w,v5),v6,v7))),v8,v9) = a(x * ((R(u \ 1,v6,v7) * z) * y),v8,v9). [para(210404(a,2),46819(a,1,1,2,1)),rewrite([210404(6),213980(7)]),flip(a)]. 213991 R(x \ K(y,z),u,w) * ((v5 \ K(y,z)) \ v6) = R(x \ 1,u,w) * ((v5 \ 1) \ v6). [para(31952(a,1),210404(a,1,2)),flip(a)]. 214034 L(x,y,R(z \ K(u,w),v5,v6) * v7) = L(x,y,R(z \ 1,v5,v6) * v7). [para(210404(a,1),83104(a,2,3)),rewrite([31945(8),83128(7)]),flip(a)]. 214143 R(x,L(L(T(y,z),u,w),v5,v6),v7) = R(x,L(L(y,u,w),v5,v6),v7). [para(60(a,1),204558(a,1,2,1))]. 214147 R(x,L(y / z,u,w),v5) = R(x,L(z \ y,u,w),v5). [para(412(a,1),204558(a,1,2,1)),flip(a)]. 214148 R(x,L(K(y,z) * u,w,v5),v6) = R(x,L(u,w,v5),v6). [para(10078(a,1),204558(a,1,2,1)),rewrite([204557(4)]),flip(a)]. 214166 R(x,L(y,y,y),z) = R(x,y,z). [para(70516(a,1),204558(a,1,2)),rewrite([12247(5),204513(6),206751(5),206751(3),25262(4),26536(3)]),flip(a)]. 214175 R(x,L(R(y,z,y),u,w),v5) = R(x,L(y,u,w),v5). [para(1735(a,1),204558(a,1,2,1)),rewrite([204557(8)])]. 214198 R(x / y,y,y) = x * (y \ 1). [back_rewrite(210838),rewrite([214166(3)])]. 214346 R(x \ y,x,x) = y * (T(x,x \ y) \ 1). [para(2244(a,1),214198(a,1,1)),rewrite([203025(6),204513(4)])]. 214394 a(a(x,y,z),u,w) * (v5 \ (v6 \ 1)) = v5 \ (v6 \ a(a(x,y,z),u,w)). [para(214198(a,2),112586(a,1,2)),rewrite([214198(4),113538(5)]),flip(a)]. 214416 R(x \ (a(y,z,u) \ x),x,x) = (a(y,z,u) \ x) * (T(x,u \ L(u,z,y)) \ 1). [para(188748(a,1),214198(a,1,1)),rewrite([203025(10),204513(7)])]. 214420 (x / y) * (1 / y) = x * (y \ (1 / y)). [para(214198(a,1),190931(a,1,1)),rewrite([210810(4)]),flip(a)]. 214425 (x * L(x \ y,z,u)) * x = L(y * x,z,u). [para(214198(a,1),205590(a,1,1,1)),rewrite([25958(6),7(5),66975(4),53(3),49(2),207(5),409(6)]),flip(a)]. 214508 R(x,y / z,u) = R(x,z \ y,u). [para(412(a,1),204513(a,1,2)),flip(a)]. 214515 R(x,R(y,z,y),u) = R(x,y,u). [para(1735(a,1),204513(a,1,2)),rewrite([204567(6)])]. 214557 R(x,T(y,z) \ u,w) = R(x,y \ u,w). [back_rewrite(204523),rewrite([214508(3)])]. 214575 R(x,y,(1 / y) * z) = R(x,y,y * z). [back_rewrite(190478),rewrite([214508(7),204851(7),206751(4)]),flip(a)]. 214657 T(x * y,x) \ R(y,x,x) = R(x,y,x) \ 1. [back_rewrite(204591),rewrite([214515(4)])]. 214687 R(x / (T(y,z) \ u),y \ u,y) = (x * T(T(y,y \ u),z)) / u. [back_rewrite(213444),rewrite([214557(6)])]. 214794 R(x,y,y \ R(y,z,u)) = R(x,y,y * R(y,z,u)). [para(11009(a,2),214575(a,2,3)),rewrite([169922(4),11009(5)])]. 214853 R(x,y,y * z) * (y * ((1 / y) * z)) = (x * y) * ((1 / y) * z). [para(214575(a,1),401(a,1,1))]. 215171 a(a(x,y,z),u,w) * (R(v5,v5,a(a(x,y,z),u,w) * v6) \ v6) = (v5 \ a(a(x,y,z),u,w)) * v6. [hyper(5081,a,7730,a,b,206986,a),rewrite([66271(5),112586(12)]),flip(a)]. 215213 R(x,x,y \ z) \ (z / y) = (x \ 1) * (z / y). [hyper(5142,a,206986,a(flip),b,95661,a),rewrite([9510(7),7726(7),41903(6),204273(7),206638(7)]),flip(a)]. 215220 (x \ 1) \ ((x \ a(a(y,z,u),w,v5)) * v6) = a(a(y,z,u),w,v5) * v6. [hyper(5083,a,112586,a(flip),b,206986,a(flip)),rewrite([215171(10)])]. 215297 R(x,x,y) * ((x * x) \ y) = x \ y. [para(206986(a,1),62943(a,1,2,2)),rewrite([61822(5)])]. 215434 R(x,(y * y) * z,u) = R(x,z,u). [para(67094(a,1),214508(a,2,2)),rewrite([67315(4),206053(3)]),flip(a)]. 215437 R(x,(y * z) \ ((y * u) * z),w) = R(x,R(u,y,z),w). [para(1153(a,2),214508(a,1,2)),rewrite([210558(4)]),flip(a)]. 215449 R(x,y \ (z * T(u,w)),v5) = R(x,y \ (z * u),v5). [para(201068(a,1),214508(a,1,2)),rewrite([214508(4),12023(8),204510(9)])]. 215516 (x \ (y * T(z,u))) * z = (x \ (y * z)) * T(z,u). [back_rewrite(95625),rewrite([215449(4),98810(7)]),flip(a)]. 215709 R(x,R(y,z,u),w) = R(x,L(y,z,u),w). [para(50481(a,1),215437(a,1,2,1)),rewrite([26221(10),81530(9),215449(10),143918(6),214148(6),204273(7),206104(7),204513(5)]),flip(a)]. 215818 a(R(x,L(y,z,u),R(y,z,u)),w,v5) = a(L(x,R(y,z,u),L(y,z,u)),w,v5). [para(215437(a,2),124219(a,1,1)),rewrite([215437(6),215709(3),209136(7)])]. 215908 R(x,L(y,z,y),u) = R(x,y,u). [para(202072(a,1),215437(a,1,2,2)),rewrite([410(2),50(6),206751(3),203025(5),215709(5),214147(5),206730(5)]),flip(a)]. 215915 L(x,y,L(z,R(u,w,v5),v6)) = L(x,y,L(z,L(u,w,v5),v6)). [para(215437(a,1),209136(a,1,3)),rewrite([215709(2),209136(3),94345(8)]),flip(a)]. 216004 R(x,(y * z) \ ((y * u) * z),w) = R(x,L(u,y,z),w). [back_rewrite(215437),rewrite([215709(7)])]. 216017 ((x * R(y \ 1,z,u)) * (y \ 1)) / (y \ R(1 / y,z,u)) = R(x,L(y,z,u),y). [back_rewrite(213349),rewrite([215709(16),206730(16)])]. 216084 R(1 / R(x,y,z),L(x,y,z),x) = x / (x * R(x,y,z)). [back_rewrite(94702),rewrite([215709(5)])]. 216096 T(x,y) * K(x * R(y,z,u),x) = R(x,L(y,z,u),x). [back_rewrite(6471),rewrite([215709(7)])]. 216122 R(x,L(R(y,z,u),w,v5),v6) = R(x,L(L(y,z,u),w,v5),v6). [para(64(a,1),215709(a,2,2)),rewrite([63(2)])]. 216128 R(x,(1 / y) * z,u) = R(x,z * y,u). [para(214198(a,1),215709(a,1,2)),rewrite([206750(4),214147(5),60426(4)]),flip(a)]. 216141 R(x,L(L(y,z,y),u,w),v5) = R(x,L(y,u,w),v5). [back_rewrite(214175),rewrite([216122(3)])]. 216155 T(x * K(x * ((1 / y) * z),x),y \ z) = R(x,z * y,x). [back_rewrite(199196),rewrite([216128(12)])]. 216161 R(x,a(y,z,a(u,w,v5)) \ (v6 \ 1),v7) = R(x,v6 * a(y,z,a(u,w,v5)),v7). [para(11964(a,1),206751(a,1,2))]. 216172 R(x,y \ (z * z),u) = R(x,y,u). [para(23536(a,1),206751(a,1,2)),rewrite([49(3),206011(6)])]. 216237 R(x,y \ L(T(z,u),w,v5),v6) = R(x,y \ L(z,w,v5),v6). [para(60(a,1),204535(a,1,2,2))]. 216240 R(x,y \ (z / u),w) = R(x,y \ (u \ z),w). [para(412(a,1),204535(a,1,2,2)),flip(a)]. 216253 R(x,(y * z) \ z,u) = R(x,(z * y) \ z,u). [para(57973(a,1),204535(a,1,2))]. 216269 R(x,y \ (T(z,u) \ w),v5) = R(x,y \ (z \ w),v5). [para(104859(a,2),204535(a,1,2,2)),rewrite([104859(3),105429(4),204567(5),216240(7)]),flip(a)]. 216274 R(x,y \ (z \ (K(u,w) * v5)),v6) = R(x,y \ (z \ v5),v6). [para(120119(a,1),204535(a,1,2,2)),rewrite([41109(5),204567(6),204535(4)]),flip(a)]. 216287 (x \ L(T(y,z),u,w)) * (T(y,z) \ v5) = (x \ L(y,u,w)) * (y \ v5). [back_rewrite(206697),rewrite([216237(5),95099(8)]),flip(a)]. 216335 R(x,x \ (y \ 1),L(y,z,u)) \ (y \ L(y,z,u)) = (x \ (1 / y)) * L(y,z,u). [back_rewrite(95730),rewrite([216240(5)])]. 216479 R(x,(y / z) * u,w) = R(x,(z \ y) * u,w). [para(59166(a,1),216240(a,1,2)),rewrite([204513(6),26402(7),59166(9),204513(9)])]. 216632 R(x,y,((z * u) \ w) \ ((v5 * v5) * w)) = R(x,y,z * u). [para(11968(a,1),204275(a,1,3,1)),rewrite([23536(5),206709(10)])]. 216636 R(x,y,(1 / z) * u) = R(x,y,z * u). [para(26378(a,1),204275(a,1,3,1)),rewrite([216632(8)])]. 216640 R(x,y,T(z,u) * w) = R(x,y,z * w). [para(52208(a,1),204275(a,1,3,1)),rewrite([204288(6),204275(4)]),flip(a)]. 216741 R(x,y,L(z * K(u,w),v5,v6)) = R(x,y,L(z,v5,v6)). [para(197(a,2),206639(a,1,3,1)),rewrite([5754(3),73(4),37822(3),75(2),74(2),149(3),204270(4),9510(4)]),flip(a)]. 216747 R(x,y,L(T(z,u) \ w,v5,v6)) = R(x,y,L(z \ w,v5,v6)). [para(9113(a,1),206639(a,1,3,1))]. 216780 R(x,y,(K(z,u) / w) * v5) = R(x,y,w * v5). [para(60426(a,1),206639(a,2,3)),rewrite([76124(4),216636(8)])]. 216782 R(x,y,L(z * (u / w),v5,v6)) = R(x,y,L(z * (w \ u),v5,v6)). [para(77335(a,1),206639(a,1,3,1)),rewrite([562(4),204270(6)])]. 216845 R(x,y,z * (T(z,u) * w)) = R(x,y,z * (z * w)). [para(241(a,1),216640(a,1,3))]. 216847 R(x,y,z * T(u,w)) = R(x,y,z * u). [para(251(a,1),216640(a,1,3)),rewrite([1039(4),1391(5),203025(5),27543(6),251(7),203025(8)])]. 216853 R(x,y,(z / u) * w) = R(x,y,(u \ z) * w). [para(412(a,1),216640(a,1,3,1)),flip(a)]. 216863 R(x,y,z * (K(u,w) * v5)) = R(x,y,z * v5). [para(10078(a,1),216640(a,1,3,1)),rewrite([7725(3),7724(7),204274(8)])]. 216879 R(x,y,L(T(z,u),w,v5) \ v6) = R(x,y,L(z,w,v5) \ v6). [para(19895(a,1),216640(a,2,3)),rewrite([201034(7),203025(5),203025(9)])]. 216884 R(x,y,(z \ K(u,w)) * v5) = R(x,y,(z \ 1) * v5). [para(31945(a,1),216640(a,2,3)),rewrite([216863(7),216640(5)]),flip(a)]. 216887 R(x,y,(z / u) \ w) = R(x,y,(u \ z) \ w). [para(42098(a,1),216640(a,2,3)),rewrite([201034(7),203025(4),204273(3),204273(6)]),flip(a)]. 216897 R(x,y,z * (1 / u)) = R(x,y,z * u). [para(50481(a,1),216640(a,1,3)),rewrite([206757(4)]),flip(a)]. 216904 R(x,y,z * (u / w)) = R(x,y,z * (w \ u)). [para(77335(a,1),216640(a,2,3)),rewrite([2598(3),204274(7),203025(8)]),flip(a)]. 216909 R(x,y,z * L(T(z,u),w,v5)) = R(x,y,z * L(z,w,v5)). [para(13654(a,1),216640(a,2,3)),rewrite([60(2),86904(3)])]. 216910 R(x,y,z * L(T(T(z,u),u),w,v5)) = R(x,y,z * L(z,w,v5)). [para(13654(a,2),216640(a,1,3)),rewrite([13654(4),93253(4),216909(9)])]. 216912 R(x,y,z \ (u / T(w,v5))) = R(x,y,z \ (u / w)). [para(95661(a,1),216640(a,2,3)),rewrite([201034(6),203025(4)]),flip(a)]. 216913 R(x,y,z \ (u \ T(w,v5))) = R(x,y,z \ (u \ w)). [para(96964(a,1),216640(a,2,3)),rewrite([201034(6),203025(4)]),flip(a)]. 216934 R(x,y,z * (L(T(z,u),w,v5) \ v6)) = R(x,y,z * (L(z,w,v5) \ v6)). [para(118328(a,2),216640(a,1,3)),rewrite([118328(5),118476(5)]),flip(a)]. 216938 R(x,y,z * (u * z)) = R(x,y,z * (z * u)). [para(3491(a,1),216640(a,1,3)),flip(a)]. 216942 R(x,y,(z \ u) * z) = R(x,y,u). [para(2412(a,1),216640(a,1,3)),rewrite([117226(3),203025(4),95766(6),201034(8)])]. 216956 R(x,y,z * (L(T(T(z,u),w),v5,v6) \ 1)) = R(x,y,L(z,v5,v6) \ z). [para(162937(a,1),216640(a,1,3)),rewrite([204278(6),216879(5),216879(4)]),flip(a)]. 217015 R(x,y,(z \ 1) * u) = R(x,y,z * u). [back_rewrite(216780),rewrite([216853(4),216884(4)])]. 217029 (x * (T(y,x) * z)) / ((y * x) * z) = (x * (y * z)) / ((x * y) * z). [back_rewrite(95056),rewrite([216853(9),50(6),210711(7),48(4)]),flip(a)]. 217030 ((x \ y) * (x * z)) / (((x \ y) * x) * z) = ((y / x) * (x * z)) / (y * z). [back_rewrite(95012),rewrite([216853(10),210711(10),48(5)])]. 217065 R(x,y,z * (u \ 1)) = R(x,y,z * u). [back_rewrite(216897),rewrite([216904(4)])]. 217122 R(x,y,z * L(T(T(z,u),w),v5,v6)) = R(x,y,L(z,v5,v6) \ z). [back_rewrite(216956),rewrite([217065(7)])]. 217133 R(x,y,L(z,u,w) \ z) = R(x,y,z * L(z,u,w)). [back_rewrite(216910),rewrite([217122(5)])]. 217140 ((L(x,y,z) \ x) * u) * ((L(x,y,z) \ x) \ 1) = R(u,L(x,y,z) \ x,x * L(x,y,z)). [back_rewrite(202753),rewrite([217133(13)])]. 217142 R(L(x,y,z) \ x,u,x * L(x,y,z)) = L(x,y,z) \ x. [back_rewrite(91528),rewrite([217133(5)])]. 217167 R(x,y,L(z,u,w) \ L(L(T(z,v5),u,w),v6,v7)) = R(x,y,L(z,u,w) \ L(L(z,v6,v7),u,w)). [para(63806(a,2),216879(a,1,3)),rewrite([63806(8),64228(6)]),flip(a)]. 217196 R(x,y,L(L(T(z,u),w,v5),v6,v7)) = R(x,y,L(L(z,w,v5),v6,v7)). [para(165661(a,1),216879(a,1,3)),rewrite([206104(6),195124(11),165661(10),206104(9)])]. 217221 R(x,y,z * ((u * u) \ w)) = R(x,y,z * w). [para(5(a,1),217015(a,2,3)),rewrite([11965(4),67007(3),69953(5),217015(6),205522(8)])]. 217230 R(x,y,z * (a(u,w,a(v5,v6,v7)) \ v8)) = R(x,y,z * (a(u,w,a(v5,v6,v7)) * v8)). [para(8362(a,1),217015(a,2,3)),rewrite([19395(6),19453(5),48(6)])]. 217233 R(x,y,a(z,u,a(w,v5,v6)) \ v7) = R(x,y,a(z,u,a(w,v5,v6)) * v7). [para(12908(a,2),217015(a,1,3,1)),rewrite([336(2),12913(4),19395(5),48(5)])]. 217240 R(x,y,z \ a(u,w,a(v5,v6,v7))) = R(x,y,z * a(u,w,a(v5,v6,v7))). [para(8271(a,2),217015(a,1,3)),rewrite([32548(6),51(5)])]. 217243 R(x,y,z \ L(z,u,w)) = R(x,y,z * L(z,u,w)). [para(18710(a,1),217015(a,1,3)),rewrite([63806(4),160877(9),216887(8),81670(7)])]. 217244 R(x,y,a(a(z,u,w),v5,v6) * (v7 * v8)) = R(x,y,v7 * (a(a(z,u,w),v5,v6) \ v8)). [para(7727(a,1),217015(a,2,3)),rewrite([11962(5),28972(6),217015(7)]),flip(a)]. 217245 R(x,y,z * (a(a(u,w,v5),v6,v7) \ v8)) = R(x,y,z * (a(a(u,w,v5),v6,v7) * v8)). [para(7730(a,1),217015(a,2,3)),rewrite([20287(5),28972(6),217015(7)])]. 217246 R(x,y,(z \ a(a(u,w,v5),v6,v7)) * v8) = R(x,y,z * (a(a(u,w,v5),v6,v7) * v8)). [para(7730(a,2),217015(a,1,3)),rewrite([66271(5)])]. 217257 R(x,y,a(a(z,u,w),v5,v6) \ v7) = R(x,y,a(a(z,u,w),v5,v6) * v7). [para(28754(a,1),217015(a,1,3)),rewrite([48(5)])]. 217262 R(x,y,z * (z * u)) = R(x,y,L(u,z,z)). [para(13287(a,1),217015(a,1,3)),rewrite([22934(4),216845(8)]),flip(a)]. 217279 R(x,y,z * (u * u)) = R(x,y,z). [para(62166(a,1),217015(a,1,3)),rewrite([206708(3)]),flip(a)]. 217280 R(x,y,(z \ 1) \ u) = R(x,y,z \ u). [para(68073(a,1),217015(a,2,3)),rewrite([67007(3),66988(5),206659(4)]),flip(a)]. 217322 R(x,y,L(z \ 1,u,w) * v5) = R(x,y,L(z,u,w) * v5). [para(157346(a,1),217015(a,2,3)),rewrite([217221(7),217015(5)]),flip(a)]. 217336 R(x,y,z * (L(z,u,w) \ K(v5,v6))) = R(x,y,z * L(z,u,w)). [para(162956(a,1),217015(a,2,3)),rewrite([31850(6),206218(5),217133(3)]),flip(a)]. 217359 R(x,y,a(a(z,u,w),v5,v6) * (v7 * v8)) = R(x,y,v7 * (a(a(z,u,w),v5,v6) * v8)). [back_rewrite(217244),rewrite([217245(10)])]. 217378 R(x,y,z * (u * z)) = R(x,y,L(u,z,z)). [back_rewrite(216938),rewrite([217262(6)])]. 217392 (x * x) * R(y,z,u) = R((x * x) * y,z,u). [back_rewrite(102517),rewrite([217279(4)])]. 217457 x * (L(x,x,x) * R(x,y,z)) = R((x * x) * x,y,z). [back_rewrite(174162),rewrite([217392(7)])]. 217499 x * (x * R(x \ y,z,u)) = R(x * y,z,u). [back_rewrite(65504),rewrite([217392(6),180359(5),147(2),948(1),49(2)]),flip(a)]. 217531 (x * x) * (R((x * x) \ y,z,u) * w) = R(y,z,u) * w. [back_rewrite(65670),rewrite([217499(5),51(2)]),flip(a)]. 217537 R((x * x) \ y,z,u) * (y \ ((x * x) * w)) = R(y,z,u) * (y \ w). [back_rewrite(182545),rewrite([217531(6),62852(3)]),flip(a)]. 217541 ((x * x) \ R(y,z,u)) * w = R((x * x) \ y,z,u) * w. [back_rewrite(62974),rewrite([217537(9),63030(6)])]. 217549 R(x,y,z) * ((x \ 1) * (x \ u)) = R(1 / x,y,z) * u. [back_rewrite(170025),rewrite([217541(10),22924(8)])]. 217590 R(x,y,L(z * (z * u),w,v5)) = R(x,y,L(L(u,z,z),w,v5)). [para(64(a,1),217262(a,2,3)),rewrite([25976(3)])]. 217608 R(x,y,a(z,u,a(w,v5,v6)) * (v7 \ a(z,u,a(w,v5,v6)))) = R(x,y,v7). [para(12981(a,1),217262(a,1,3,2)),rewrite([5534(14),206104(10)])]. 217644 R(x,y,L(1 / z,u,w)) = R(x,y,L(z,u,w)). [para(57669(a,1),217262(a,2,3)),rewrite([69933(4),51(3),22924(4)]),flip(a)]. 217655 R(x,y,L(L(z,u,w),z,z)) = R(x,y,L(z,u,w)). [para(70237(a,1),217262(a,1,3,2)),rewrite([61780(5),25944(3),22924(2),217644(4),26402(8),26414(8),28057(6),28083(6)]),flip(a)]. 217664 R(x,y,L(L(z,z,z),u,w)) = R(x,y,L(z,u,w)). [para(86612(a,2),217262(a,1,3,2)),rewrite([86612(3),25976(4),217590(5),217196(4),217196(7),217655(6)])]. 217672 R(x,y,L(z \ 1,u,w)) = R(x,y,L(z,u,w)). [para(98289(a,2),217262(a,1,3,2)),rewrite([98289(4),25976(5),1816(3),149(4),204270(5),91908(6)]),flip(a)]. 217723 R(x,y,z * (L(z,u,w) \ z)) = R(x,y,L(z,u,w)). [para(162937(a,1),217262(a,1,3,2)),rewrite([216934(5),217672(10),217196(8),217655(7)])]. 217766 R(x,x \ y,L(y,z,u)) \ (y \ L(y,z,u)) = (x \ y) * L(y \ 1,z,u). [back_rewrite(150465),rewrite([217672(5)])]. 217792 R(x,y,R(T(z,u),w,v5) \ v6) = R(x,y,R(z,w,v5) \ v6). [para(61(a,1),206638(a,1,3,1))]. 217801 R(x,y,z \ (a(a(u,w,v5),v6,v7) \ v8)) = R(x,y,a(a(u,w,v5),v6,v7) * (z \ v8)). [para(28887(a,1),206638(a,2,3)),rewrite([547(3),217257(5)]),flip(a)]. 217831 R(x,y,z \ a(a(u,w,v5),v6,v7)) = R(x,y,a(a(u,w,v5),v6,v7) * z). [back_rewrite(206631),rewrite([217801(6),113538(5)])]. 217854 R(x,y,a(z,u,a(w,v5,v6)) * (v7 * (v8 * a(z,u,a(w,v5,v6))))) = R(x,y,v7 * v8). [para(7735(a,1),217378(a,1,3,2)),rewrite([5534(14)])]. 217888 R(x,y,a(a(z,u,w),v5,v6) * (v7 * (v8 * a(a(z,u,w),v5,v6)))) = R(x,y,v7 * v8). [para(7733(a,1),217378(a,1,3,2)),rewrite([5536(14)])]. 217943 R(x,y,L(z \ K(u,w),v5,v6)) = R(x,y,L(z,v5,v6)). [para(70215(a,1),217378(a,1,3,2)),rewrite([158855(7),26653(5),216741(6),27381(10),28115(8),217655(7)])]. 217945 R(x,y,z * ((z \ u) * (z \ (1 / z)))) = R(x,y,u). [para(66013(a,1),217378(a,2,3)),rewrite([68101(8),172459(7),217015(9)])]. 218203 R(x,y,z * a(u,a(w,v5,v6),v7)) = R(x,y,z). [hyper(5142,a,7734,a,b,205680,a),rewrite([7734(6),210780(12),70948(11),29501(8),7734(11),6592(10),57(6),204513(2)]),flip(a)]. 218204 R(x,y,z * a(a(u,w,v5),v6,v7)) = R(x,y,z). [hyper(5142,a,7733,a,b,205680,a),rewrite([7733(6),210776(12),70949(11),28851(8),7733(11),6592(10),57(6),204513(2)]),flip(a)]. 218374 R(x,y,z) * (T(y,u) * (z \ 1)) = (x * T(y,u)) * (z \ 1). [hyper(5081,a,214198,a,b,205680,a),rewrite([214198(4),206104(8)]),flip(a)]. 218458 R(R(x,y,z),u,w) * (T(y,v5) * z) = (R(x,u,w) * T(y,v5)) * z. [para(65(a,1),205680(a,1,1))]. 218475 (x * T(y,z)) * L(T(y,z) \ u,w,v5) = (x * y) * L(y \ u,w,v5). [para(207(a,2),205680(a,1,2)),rewrite([216747(4),207(8),28584(8),401(7)]),flip(a)]. 218516 a(x,(y * T(z,u)) * w,v5) = a(x,(y * z) * w,v5). [para(205680(a,1),14794(a,1,2)),rewrite([46305(9),101974(8)])]. 218529 (x * (T(y,z) * T(u,w))) \ (R(x,u,y) * (T(y,z) * T(u,w))) = a(x,u,y). [para(205680(a,2),18285(a,1,2)),rewrite([203025(8),203025(7),845(10),13927(12)])]. 218612 L(x,y,(z * T(u,w)) * v5) = L(x,y,(z * u) * v5). [para(205680(a,1),83104(a,2,3)),rewrite([85465(7),83104(6),401(3)]),flip(a)]. 218618 R(x,y,L(y,z,u)) * (y * L(y \ K(w,v5),z,u)) = (x * y) * L(y \ K(w,v5),z,u). [para(70215(a,2),205680(a,1,2)),rewrite([217943(5),204270(3),70215(8),28584(8),218475(14)])]. 218721 a((x * y) * L(y,z,u),w,v5) = a(y * (x * L(y,z,u)),w,v5). [para(205680(a,1),165195(a,2,1)),rewrite([204270(3),96716(6),206251(5),46639(6),158793(3),12585(10),205826(8),12585(9)]),flip(a)]. 218856 a(x * a(y,a(z,u,w),v5),v6,v7) = a(x,v6,v7). [para(62164(a,1),218721(a,1,1,1)),rewrite([5529(6),182897(7),182893(4),5529(8),62164(8),182898(8)]),flip(a)]. 218938 L(x,y,(z * (u / w)) * v5) = L(x,y,(z * (w \ u)) * v5). [para(412(a,1),218612(a,1,3,1,2)),flip(a)]. 218950 L(x,y,a(z,u,w) * (v5 * (a(z,u,w) \ v6))) = L(x,y,v5 * v6). [para(19228(a,1),218612(a,2,3)),rewrite([13063(7),85465(7),6592(4)]),flip(a)]. 218991 L(x,y,((z \ u) * z) * w) = L(x,y,u * w). [para(2412(a,1),218612(a,2,3,1)),rewrite([2598(3),7725(5),83105(6)]),flip(a)]. 219012 L(x,y,((z * u) * z) * w) = L(x,y,R(u,z,z) * w). [para(202072(a,1),218612(a,1,3,1)),rewrite([83148(6),191612(8)])]. 219208 T((x * R(R(y,x,z),u,w)) / x,x * z) = (x * z) \ ((x * R(y,u,w)) * z). [hyper(7088,a,218458,a(flip),b,32795,a),rewrite([6492(11),6492(10),7984(10)])]. 219282 a(x,(y * z) * R(R(u,y,z),w,v5),v6) = a(x,(R(u,w,v5) * y) * z,v6). [para(218458(a,1),14794(a,1,2)),rewrite([218516(5),46305(10)]),flip(a)]. 219450 R(x * K(y \ R(x,z,u),y),z,u) = (y \ R(x,z,u)) * y. [hyper(295,a,2412,a(flip),b,201843,a),flip(a)]. 219492 R(x * K(y,z),u,w) \ v5 = K(z,y) * (R(x,u,w) \ v5). [para(201843(a,1),11892(a,2,1)),rewrite([5754(4),209136(7),5538(7)]),flip(a)]. 219546 x \ R(y * K(z,u),w,v5) = (x \ R(y,w,v5)) * K(z,u). [para(201843(a,1),95099(a,1,2)),rewrite([5826(4)])]. 219551 T(x,T(R(y,z,u) \ w,y)) = T(x,w / R(y,z,u)). [para(201843(a,1),121044(a,1,2,2)),rewrite([6492(6),9827(6),610(9)])]. 219583 R(x * K(y,z),u,w) / v5 = R(x,u,w) / (v5 * K(z,y)). [para(201843(a,1),204224(a,2,1)),rewrite([9510(3),5754(6),5826(8)]),flip(a)]. 219636 L(x,((y * z) \ ((y * u) * z)) \ w,v5) = L(x,R(u,y,z) \ w,v5). [back_rewrite(94533),rewrite([219492(4),26562(5)]),flip(a)]. 219762 R(x,y,z) / R(x * K(u,w),y,z) = K(w,T(u,x)). [back_rewrite(210582),rewrite([219583(9),201843(8),7726(7),7726(6),5739(6),2598(4),1671(4)])]. 220154 R(x,y,(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(51(a,1),204808(a,1,2))]. 220194 ((x * y) * z) \ (((y * x) * z) * u) = K(y,T(x,z)) * u. [para(7452(a,1),204808(a,1,2,1)),rewrite([5785(4),2598(10),26924(10),11014(10),14494(9)])]. 220937 (x * ((y * z) * u)) \ (x * (((z * y) * u) * w)) = L(K(z,T(y,u)) * w,(y * z) * u,x). [para(220194(a,1),382(a,1,1)),flip(a)]. 221277 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [hyper(5081,a,7753,a,b,220154,a),rewrite([20984(4),410(2),220154(7)]),flip(a)]. 221291 R(x,y,(y * x) \ z) = z / (y * ((x * y) \ z)). [hyper(271,a,340,a,b,220154,a),rewrite([221277(4)]),flip(a)]. 221409 a(((x * y) \ z) * x,u,w) = a(x * ((y * x) \ z),u,w). [para(220154(a,2),12550(a,1,1)),rewrite([220154(4),221277(4),12539(9)]),flip(a)]. 221535 a((x * ((y * x) \ z)) * u,w,v5) = a((x * ((x * y) \ z)) * u,w,v5). [para(220154(a,2),46299(a,1,1,1)),rewrite([220154(4),221277(4)])]. 221670 K(x,y) * (z * ((T(x,y) * z) \ u)) = z * ((x * z) \ u). [para(86499(a,2),220154(a,2,1)),rewrite([7724(5),11961(6),204288(7),204510(5),220154(4),221277(4),86499(6),7724(9),11961(10),87167(11),221277(10),12008(8)]),flip(a)]. 221988 (x \ K(y,z)) \ ((T(z,y) * x) \ z) = x * ((z * x) \ z). [back_rewrite(71844),rewrite([221670(12)])]. 222527 T(x * x,y) \ (y \ z) = y \ ((x * x) \ z). [hyper(5083,a,81194,a,b,221277,a),rewrite([20865(8),68847(9),81962(10),11965(7)])]. 222572 (x \ 1) * ((y * (x \ 1)) \ z) = x * ((y * x) \ z). [hyper(5081,a,69321,a,b,221277,a),rewrite([66385(6),50(2),221277(11)]),flip(a)]. 222755 L((x * (y \ 1)) \ z,y,y) = y * (y * ((x * y) \ z)). [para(221277(a,2),61613(a,1,2)),rewrite([221277(8),222572(7)]),flip(a)]. 223374 x / (y * ((x * y) \ x)) = R(x,y,(y * x) \ x). [para(57973(a,2),221291(a,1,3)),rewrite([57973(3)]),flip(a)]. 223843 R(x / y,y,z) \ (z * x) = y * T(z,x). [para(53(a,1),203630(a,1,2,2)),rewrite([53(6)])]. 223945 a(a(x,y,z),u,w) * (v5 * (v6 * (a(a(x,y,z),u,w) \ v7))) = v5 * (v6 * v7). [para(7727(a,2),203630(a,1,2,2)),rewrite([20158(4),7727(6),70950(8),28851(7),28851(6),20266(14),410(12)])]. 224207 (x \ y) * T(z,T(x,u) \ y) = T(z,K(x,u)) * (x \ y). [para(125612(a,1),203630(a,2,2)),rewrite([5676(3),5754(6),9542(6),562(2)]),flip(a)]. 224421 K(x,y) * (z * (T(x,y) \ u)) = T(z,K(x,y)) * (x \ u). [back_rewrite(47449),rewrite([224207(10)])]. 224483 (x / (y \ z)) * (T(y,u) \ z) = x * K(u,T(y,z)). [hyper(5083,a,165,a(flip),b,224421,a),rewrite([5754(8),111545(8),38428(6),27834(3),11014(3),41653(5)]),flip(a)]. 224506 (x * (T(y,z) \ u)) \ (x * (y \ u)) = K(y,T(z,u)). [hyper(7088,a,224421,a(flip),b,32795,a),rewrite([178495(3),9666(3),2598(6),36703(6),27622(6),3545(5),26853(4),26896(4),11427(9),77(8),408(7)]),flip(a)]. 224621 K(x,y) * ((z * (T(x,y) \ u)) * w) = (T(z,K(x,y)) * (x \ u)) * w. [para(224421(a,1),7687(a,2,1)),rewrite([47597(5),8(4),48(8)])]. 224666 L(x,y * (T(z,u) \ w),v5) = L(x,y * (z \ w),v5). [para(224421(a,1),24266(a,1,1,2)),rewrite([5538(12),7725(12),224621(11),56(12),26518(5),5538(8),26403(9)]),flip(a)]. 224695 T(x,K(y,z * (u * (w \ v5)))) = T(x,K(y,z * (u * (w * v5)))). [para(224421(a,2),44812(a,2,2,2,2)),rewrite([127919(6),74691(5),44812(5),224421(10),8579(11)]),flip(a)]. 224896 R(x,y,z * (T(u,w) \ v5)) = R(x,y,z * (u \ v5)). [para(224421(a,1),216640(a,2,3)),rewrite([2598(2),204274(7),216640(9)])]. 224928 T(x,K(y,z * a(u,w,v5))) = T(x,K(y,z)). [back_rewrite(129524),rewrite([224695(6),113935(6)])]. 224955 T(T(a(x,y,z) \ u,w) * a(x,y,z),K(u,v5)) = a(x,y,z) * T(a(x,y,z) \ u,w). [back_rewrite(44706),rewrite([224928(9),562(7)])]. 224986 (x * a(y,z,u)) \ T(w * (x * a(y,z,u)),K(v5,x)) = T(w,T(x,v5) * a(y,z,u)). [hyper(7088,a,224928,a(flip),b,51045,a),rewrite([224928(4),9760(5),7763(4)]),flip(a)]. 224994 T(((x * a(y,z,u)) * w) * v5,K(x,w)) / (v5 * K(x * a(y,z,u),w)) = w * (x * a(y,z,u)). [hyper(5142,a,224928,a(flip),b,9670,a),rewrite([562(6)])]. 225004 T(x,T(y,z * a(u,w,v5))) = T(x,T(y,z)). [hyper(5083,a,224928,a(flip),b,251,a),rewrite([51234(4),58(2),11427(3),2045(2),186(3)]),flip(a)]. 225204 R(x / y,y,z) = (z * x) / (y * T(z,x)). [hyper(6683,a,223843,a),flip(a)]. 225356 (x / y) \ ((z * z) \ x) = y / T(z * z,x). [hyper(5081,a,74048,a(flip),b,223843,a),rewrite([203564(8),66988(8)]),flip(a)]. 225398 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(5142,a,223843,a(flip),b,145188,a),rewrite([9510(6),7726(6),52958(5),147(4,R),51(2),412(2)]),flip(a)]. 225448 R(x \ y,x,z) \ (z * y) = T(x,x \ y) * T(z,y). [para(2244(a,1),223843(a,1,1,1)),rewrite([204513(4)])]. 225466 R(T(x / y,y * T(z,x)),y,z) = (y * T(z,x)) \ (z * x). [para(223843(a,1),411(a,1,2)),rewrite([61(5),223843(9)])]. 225587 ((T(x,y) * z) / u) \ (x * z) = u * K(y,T(x,z)). [para(8487(a,1),223843(a,1,2)),rewrite([5826(5),2598(9),88621(8),11014(8)])]. 225777 x * (T(y,z) * R(T(y,z) \ (x \ (y * z)),u,w)) = (x * R(x \ z,u,w)) * T(y,z). [para(223843(a,1),151404(a,1,1)),rewrite([223843(6),65467(8),223843(15),205231(14),151395(11)])]. 225905 T(x * x,y \ z) \ y = y / T(x * x,z). [back_rewrite(202966),rewrite([225356(8)])]. 226023 T(x * x,y \ z) \ ((z / y) \ u) = (z / y) \ ((x * x) \ u). [hyper(5083,a,222527,a,b,43188,a),rewrite([202807(5),202972(5),5754(9),54814(9),562(5),11427(5),9113(4),202972(4)])]. 226065 T(x * x,y * z) \ (y \ u) = y \ (T(x * x,z) \ u). [hyper(5083,a,222527,a(flip),b,8936,a),rewrite([1039(3),2695(3),5754(6),122315(6),54262(7)]),flip(a)]. 226081 K(x * x,y / z) = K(x * x,z \ y). [para(222527(a,1),238(a,2,2)),rewrite([154894(6),92023(7),35014(7),12016(6),1039(6),2695(6),72094(5),1039(9),36200(9),122610(8),12016(8),72094(8)]),flip(a)]. 226107 a(x,y,z \ ((u * u) \ w)) = a(x,y,z \ w). [para(222527(a,1),13992(a,1,3)),rewrite([72569(8)])]. 226168 (x * x) \ (y \ (y \ 1)) = x \ (x \ (y \ (y \ 1))). [para(67007(a,1),222527(a,1,2)),rewrite([226065(7),222527(5),67007(3),67007(9)]),flip(a)]. 226188 (x * x) * ((y * y) \ z) = x * (((y * y) / x) \ z). [para(222527(a,2),81065(a,1,2)),rewrite([23218(4),226023(8),192620(5)]),flip(a)]. 226322 R(x,y,z \ ((u * u) \ w)) = R(x,y,z \ w). [para(222527(a,1),206638(a,1,3)),rewrite([206659(8)])]. 226567 ((T(x,y) * z) \ ((z * x) * x)) \ L((T(x,y) * z) \ ((z * x) * x),u,w) = x \ L(x,u,w). [para(21764(a,2),203529(a,1,1,2)),rewrite([21764(5),203302(14),203025(14),203025(15),111121(16)])]. 226587 R(x \ 1,x,y) \ L(R(x \ 1,x,y),z,u) = L(1 / x,x,y) \ L(L(1 / x,x,y),z,u). [para(64657(a,1),203529(a,1,1,2,1)),rewrite([48(6),128498(5),64657(13),48(9),128498(8),204513(14),204513(17),94062(16)]),flip(a)]. 226606 L(x,y,z) * (R(x,y,z) \ L(R(x,y,z),u,w)) = L(L(x,y,z),u,w). [para(203529(a,1),166163(a,1,2)),rewrite([56(4),3545(10),7197(9),26458(14),184035(13)])]. 226611 L(1 / x,x,y) \ L(L(1 / x,x,y),z,u) = ((x * y) \ y) \ L((x * y) \ y,z,u). [back_rewrite(185164),rewrite([226587(8)])]. 226908 (L(x,y,z) \ x) \ (u * ((L(x,y,z) \ x) \ 1)) = u / ((L(x,y,z) \ x) * (L(x,y,z) \ x)). [hyper(295,a,91470,a(flip),b,210845,a),rewrite([91470(6)])]. 226911 a(x,y,z) \ (u * (a(x,y,z) \ 1)) = u / (a(x,y,z) * a(x,y,z)). [hyper(295,a,6706,a(flip),b,210845,a),rewrite([6706(4)])]. 226937 x * K(x \ (y * (1 / x)),x) = (x \ 1) \ K(y,x). [para(210845(a,1),160(a,1,2)),rewrite([191565(6),223(5),110323(5)]),flip(a)]. 226941 K(x \ (y * (1 / x)),z) = K(x \ (y / x),z). [para(210845(a,1),177(a,1,1)),rewrite([23493(4),879(4),96175(3)]),flip(a)]. 227091 x * K(x \ (x \ y),x) = (x \ 1) \ K(y,x). [back_rewrite(226937),rewrite([226941(5),208221(3)])]. 227475 (x * y) / (a(a(z,u,w),v5,v6) \ v7) = ((x * y) / v7) * a(a(z,u,w),v5,v6). [hyper(5083,a,20189,a,b,7713,a(flip)),rewrite([112586(9),20153(10),7726(8),7726(7),171980(9),70949(5),7726(9),167582(9),50(4),210972(10)]),flip(a)]. 227483 (x * (y * (z \ (z \ a(a(u,w,v5),v6,v7))))) * v8 = a(a(u,w,v5),v6,v7) * ((x * y) * ((z * z) \ v8)). [hyper(295,a,72092,a,b,20189,a),rewrite([72446(6),72446(5),66558(4),113605(4)])]. 227631 (x * (y * (z * a(a(u,w,v5),v6,v7)))) * v8 = a(a(u,w,v5),v6,v7) * ((x * (y * z)) * v8). [para(20189(a,1),7687(a,1,2,2)),rewrite([22395(5),22334(9)]),flip(a)]. 227652 (x \ (a(a(y,z,u),w,v5) / x)) * v6 = (x \ a(a(y,z,u),w,v5)) * (x \ v6). [para(62160(a,1),20189(a,2,2,1)),rewrite([66271(7),192801(6),68101(11),113537(12)])]. 227696 (a(x,y,z) * (a(a(u,w,v5),v6,v7) * v8)) / v9 = ((v8 * a(x,y,z)) / v9) * a(a(u,w,v5),v6,v7). [back_rewrite(211165),rewrite([227475(12)])]. 227706 (x * (y * a(a(z,u,w),v5,v6))) / v7 = ((x * y) / v7) * a(a(z,u,w),v5,v6). [back_rewrite(210776),rewrite([227475(10)])]. 227804 a(x,y,a(z,u,w)) \ ((1 / v5) \ v6) = (a(x,y,a(z,u,w)) / v5) \ v6. [para(75757(a,1),12007(a,2,2,1)),rewrite([76070(8),198605(5)]),flip(a)]. 227809 (x * x) * (a(y,z,a(u,w,v5)) \ v6) = x * ((a(y,z,a(u,w,v5)) / x) \ v6). [back_rewrite(81569),rewrite([227804(6)]),flip(a)]. 227821 (x \ a(y,z,a(u,w,v5))) \ (x * v6) = x * ((a(y,z,a(u,w,v5)) / x) \ v6). [back_rewrite(68113),rewrite([227809(10)])]. 227954 (x * x) \ ((y / x) \ z) = (y / (1 / x)) \ z. [para(13287(a,2),20865(a,1,1)),rewrite([1599(4),212152(5)]),flip(a)]. 227977 K(x * x,y) * ((x * x) \ z) = T(x * x,y \ 1) \ z. [para(2045(a,1),20865(a,1,1)),rewrite([7726(4),189093(4),5754(9),43819(10)]),flip(a)]. 228047 (x * x) \ (L(y \ 1,z,u) \ w) = L(y \ (x * x),z,u) \ w. [para(157346(a,2),20865(a,1,1)),rewrite([22473(4),158019(5),25958(5),62166(4)]),flip(a)]. 228107 T(x * x,y \ 1) \ R(y,z,u) = R(y,z,u) / (x * x). [back_rewrite(72071),rewrite([227977(6)])]. 228177 x / (y \ L(y,y,x)) = R(x,y,L(y,y,x)). [hyper(295,a,179795,a(flip),b,24269,a),rewrite([72446(4),25949(3),61746(2),69933(4)])]. 228185 (x * y) / (z * L(z \ y,z,x)) = R(x,z,L(z \ y,z,x)). [para(51(a,1),24269(a,1,1,2))]. 228307 (x * y) / (x * ((1 / x) * y)) = R(x,x,x * y). [para(60426(a,1),24269(a,1,2,2)),rewrite([51(2),60426(8),216853(10),217015(10)])]. 228879 (x * (K(y,z) * (x * z))) / L(T(z,y),x,x) = x * (K(y,z) * (x * K(y,z))). [hyper(5081,a,61612,a,b,42739,a),rewrite([12023(4),41109(7),11961(5),61712(5),7726(5),7726(4),7725(9),26403(13)]),flip(a)]. 228930 (x * y) / L(T(z,u),z \ y,x) = x * (y / T(z,u)). [para(53(a,1),42739(a,1,1,2)),rewrite([28057(4),42661(8)])]. 228935 T(x * y,K(z,u)) / T(y,w) = T(T(y,w) / x,K(z,u)) \ y. [para(152(a,1),42739(a,1,1)),rewrite([75(7),5539(8),75(8),45702(11),98224(11)])]. 229093 (K(x,y) / z) * (K(x,y) * (z \ u)) = K(x,y) * ((z * (K(y,x) * z)) \ u). [para(42739(a,2),61780(a,2,1)),rewrite([75568(4),12023(5),7725(10),26403(14),228879(13),21017(12)])]. 229195 T(x,L(T(y,z),u,w) \ 1) = T(x,T(y,z) \ 1). [para(42739(a,1),122662(a,1,2,2)),rewrite([60873(6),78978(6),12024(6),50(4),12024(4),323(2)]),flip(a)]. 229311 (((x \ 1) \ K(y,z)) \ (K(z,y) / x)) * u = K(z,y) * ((x * (K(y,z) * x)) \ u). [back_rewrite(193745),rewrite([229093(14)])]. 229317 T(x * y,L(x,z,u) \ 1) = T(x * y,x \ 1). [back_rewrite(166109),rewrite([229195(6),111931(5)]),flip(a)]. 229997 (K(x,y) * z) / T(u,w) = K(x,y) * (z / T(u,w)). [hyper(5081,a,175903,a,b,228930,a),rewrite([175903(5),5539(10)]),flip(a)]. 230043 x / (K(y,z) * T(u,w)) = (x / T(u,w)) * K(z,y). [hyper(5081,a,2729,a(flip),b,228930,a),rewrite([36551(8),27578(8),39853(8),36551(13),27578(13),5539(13),178495(9),1039(7),86917(8)]),flip(a)]. 230094 (x * y) / L(z,z \ y,x) = x * (y / z). [para(235(a,1),228930(a,1,2,1)),rewrite([12023(4),26562(5),235(7)])]. 230208 K(x,T(y,z * u)) * (u / T(w,v5)) = u / (T(w,v5) * K(y,T(x,z))). [para(39358(a,1),228930(a,1,1)),rewrite([5539(9),178495(5),1039(3)]),flip(a)]. 230707 K(x,y) * ((z * (L(u,w,v5) \ u)) * (T(T(x,z),y) \ x)) = T(z,x) * (L(u,w,v5) \ u). [back_rewrite(92921),rewrite([229997(9),42853(8)])]. 230921 (x / y) * (K(z,u) * K(w,y)) = (x / T(y,w)) * K(z,u). [back_rewrite(43241),rewrite([230208(6),86917(4),230043(4)]),flip(a)]. 231272 (K(x,y) * z) / u = K(x,y) * (z / u). [hyper(5081,a,175903,a,b,230094,a),rewrite([175903(4),5539(8)]),flip(a)]. 231281 ((x * x) * y) / z = (x * x) * (y / z). [hyper(5081,a,81194,a,b,230094,a),rewrite([81194(6),320(8)]),flip(a)]. 231306 ((x * x) \ y) / z = (x * x) \ (y / z). [hyper(5081,a,66988,a(flip),b,230094,a),rewrite([66988(7),67207(10)]),flip(a)]. 231319 x / (K(y,z) * u) = (x / u) * K(z,y). [hyper(5081,a,2729,a(flip),b,230094,a),rewrite([36551(6),39358(7),36551(10),5539(11),178495(7),1039(5),2978(6)]),flip(a)]. 231368 (a(a(x,y,z),u,w) * v5) / v6 = a(a(x,y,z),u,w) * (v5 / v6). [para(5536(a,1),230094(a,1,2))]. 231372 K(x,y) * ((x * z) / u) = (T(x,y) * z) / u. [para(7763(a,1),230094(a,1,1)),rewrite([5539(6)]),flip(a)]. 231376 (x * (K(y,x) * z)) / u = K(y,x) * ((x * z) / u). [para(9138(a,1),230094(a,1,1)),rewrite([5539(7)])]. 231422 L((x * x) * y,z,u) / w = (x * x) * (L(y,z,u) / w). [para(25954(a,1),230094(a,1,1)),rewrite([320(7)])]. 231446 (x * (K(y,K(z,u)) * w)) / v5 = K(y,K(z,u)) * ((x * w) / v5). [para(7862(a,1),230094(a,1,1)),rewrite([5539(9)])]. 231453 K(x,T(y,z)) * ((z * u) / w) = (z * (K(x,y) * u)) / w. [para(10794(a,1),230094(a,1,1)),rewrite([5539(8)]),flip(a)]. 231472 K(x,T(y,z)) * ((z \ u) / w) = (z \ (K(x,y) * u)) / w. [para(41963(a,1),230094(a,1,1)),rewrite([5539(8)]),flip(a)]. 231508 x / (y * K(x,z)) = K(z,x) * (x / y). [para(2045(a,1),230094(a,1,1)),rewrite([5539(5),178495(3)])]. 231534 (x * x) * ((x \ y) / z) = ((x \ 1) \ y) / z. [para(68073(a,1),230094(a,1,1)),rewrite([320(7)]),flip(a)]. 231574 T(K(x,y) * z,x) / u = K(x,y) * (T(z,x) / u). [para(86499(a,1),230094(a,1,1)),rewrite([5539(7)])]. 231599 K(x,y) * (z \ (u * (w / T(x,y)))) = T(z \ (u * (w / x)),K(x,y)). [para(230094(a,1),95823(a,2,1,2)),rewrite([6159(3),60(5),228930(6),6159(12)])]. 231627 T(x,T((y / z) * u,y * z)) = T(x,u * (y / z)). [para(230094(a,2),4758(a,2,2)),rewrite([128046(5),230094(9)])]. 231757 R(x,y,L(z / u,w,v5)) = R(x,y,L(u \ z,w,v5)). [para(230094(a,2),206639(a,1,3,1)),rewrite([5539(5),231272(3),216782(5),206639(5)]),flip(a)]. 232679 (x * x) \ (y / ((x \ 1) * y)) = R(1 / x,x,y). [back_rewrite(206996),rewrite([231306(6)])]. 232799 (x / y) * K(z,T(u,w * y)) = x / (y * K(u,T(z,w))). [back_rewrite(104539),rewrite([231319(4),1039(3),7726(7),58338(6)])]. 232904 x / T(K(y,y \ z) * u,z) = (x / T(u,z)) * K(y \ z,y). [back_rewrite(186194),rewrite([231319(4),7726(6),230921(6)]),flip(a)]. 233168 x / (y * (K(z,K(u,w)) * v5)) = (x / (y * v5)) * K(z,K(u,w)). [back_rewrite(35441),rewrite([231319(5),73(4),75(4),74(4)]),flip(a)]. 233215 K(x,x \ y) * (a(a(z,u,w),v5,v6) * (y / (a(a(z,u,w),v5,v6) * (y / x)))) = x. [back_rewrite(145299),rewrite([231368(9),231368(10)])]. 233361 R(a(x,y,z) \ 1,a(x,y,z),x * (y * (K(u,K(w,v5)) * z))) = (x * (y * z)) / ((x * y) * z). [back_rewrite(95060),rewrite([233168(21),231446(18),7726(21),19619(21)])]. 233915 (x * a(a(y,z,u),w,v5)) / v6 = a(a(y,z,u),w,v5) * (x / v6). [hyper(5083,a,231281,a,b,7730,a(flip)),rewrite([7730(8),227696(9),58(10),561(7)])]. 233924 ((x \ 1) * (x \ y)) / z = (x \ 1) * (x \ (y / z)). [hyper(5081,a,72702,a,b,231281,a),rewrite([65068(3),70429(7),62160(10),68101(9)]),flip(a)]. 233937 (x * x) * (y / (x * y)) = R(x,x,y). [hyper(295,a,1153,a,b,231281,a),rewrite([948(1),49(2)]),flip(a)]. 233940 (x * x) * (y / (y * x)) = R(T(x,y),x,y). [hyper(295,a,212781,a(flip),b,231281,a),rewrite([149(2)]),flip(a)]. 233947 (L(x,y,z) \ x) \ ((u * u) * w) = (u * u) * ((L(x,y,z) \ x) \ w). [hyper(295,a,91470,a(flip),b,231281,a),rewrite([91470(9)])]. 234224 R(x,y,z \ ((u * u) * w)) = R(x,y,z \ w). [para(231281(a,1),204273(a,1,3)),rewrite([216904(4),205522(4)]),flip(a)]. 234246 (x \ 1) * (x \ (y / ((x \ 1) * y))) = R(x \ 1,x,y). [back_rewrite(207003),rewrite([233924(8)])]. 234285 (x \ 1) * (x \ R(y,z,u)) = R((x \ 1) * (x \ y),z,u). [back_rewrite(71022),rewrite([233924(8),57(6)])]. 234473 (x * x) \ R(x,y,z) = R(1 / x,y,z). [back_rewrite(170028),rewrite([234285(9),11655(7),147(6,R),51(3)]),flip(a)]. 234506 R(x,y,z) * (x \ (1 / x)) = R(1 / x,y,z). [back_rewrite(169911),rewrite([234473(8)])]. 234624 R(T(x,y),x,y) / T(y / (y * x),x) = x * T(x,y / (y * x)). [hyper(5142,a,233940,a(flip),b,13995,a)]. 234642 (x * T(x,y / (y * x))) \ R(T(x,y),x,y) = T(y / (y * x),x). [hyper(5083,a,233940,a(flip),b,13995,a)]. 234650 (x \ 1) \ R(T(x \ 1,y),x,y) = x \ (y / (y * (x \ 1))). [hyper(5083,a,233940,a(flip),b,68332,a(flip)),rewrite([206751(8),48(13)])]. 234664 R(T(x,y),x,y) / (x * x) = (y / (y * x)) * a(x,x,x). [para(233940(a,1),147(a,1,1)),rewrite([226081(10),12016(10),323(8),184938(10),184866(8)])]. 234679 T((x / (x * y)) * a(y,y,y),z) = T(x / (x * y),y \ (y \ z)). [para(233940(a,1),223(a,2,1,1)),rewrite([72446(7),41696(7),72045(6),125556(7),408(4),234664(9)]),flip(a)]. 234718 a(R(x,x,y),z,u) = a(L(x,x,y),z,u). [para(233940(a,1),12467(a,2,1)),rewrite([12592(6),12467(6),185441(4),70580(6),70580(4),12631(5)]),flip(a)]. 234755 L(x,R(y,y,z),u) = L(x,L(y,y,z),u). [para(233940(a,1),26518(a,2,2)),rewrite([77774(6),26518(6),185441(4),70578(6),70578(4),28056(5)]),flip(a)]. 234782 R(T(x,y),x,y) / T(y / (y * x),z) = x * (x * K(z,y / (y * x))). [para(233940(a,1),41552(a,1,1)),rewrite([7726(11)])]. 234850 a(x,y,R(z,z,u)) = a(x,y,L(z,z,u)). [para(233940(a,1),77732(a,1,3)),rewrite([14987(3),185441(6),158417(8),158417(6)])]. 234874 T(x / (x * y),x / y) = L(1 / y,y,x). [para(233940(a,1),6724(a,1,1,1)),rewrite([234664(4),234679(6),58(4),115388(5),185441(8),25949(11),172565(10),67502(9),69139(10),69340(10)])]. 234911 a(x * R(y,y,z),u,w) = a(x * L(y,y,z),u,w). [para(233940(a,1),13786(a,2,1,2)),rewrite([47335(7),13786(7),185441(4),70574(7),70574(5),12586(7)]),flip(a)]. 234927 R(x,x,y) \ L(R(x,x,y),z,u) = L(x,x,y) \ L(L(x,x,y),z,u). [para(233940(a,1),144546(a,1,1)),rewrite([233940(6),64238(6),185441(8),185441(13),158035(16),158035(12)])]. 234934 L(R(T(x,y),x,y),x,x) = (y / (y * x)) * (x * x). [para(233940(a,1),24832(a,2,1)),rewrite([394(7),61(8),68576(7),90973(7),63(7)]),flip(a)]. 235034 x * T(x,y / (y * x)) = (1 / x) \ x. [back_rewrite(234624),rewrite([234782(6),137650(3),149(4),66316(4)]),flip(a)]. 235044 L(x,x,x \ y) \ L(L(x,x,x \ y),z,u) = (y \ ((x \ 1) \ y)) \ L(y \ ((x \ 1) \ y),z,u). [back_rewrite(185153),rewrite([234927(6)])]. 235056 R(x \ K(x,y),x,y) = T(y / (y * x),x). [back_rewrite(234642),rewrite([235034(4),70265(6),234285(6),82(4),31850(4)])]. 235228 a(x,y,z \ (u \ (K(w,v5) * v6))) = a(x,y,z \ (u \ v6)). [para(231472(a,1),13929(a,1,3)),rewrite([14988(5),14988(8)])]. 235385 K(x,T(y,z)) * (((z \ u) * w) / v5) = ((z \ (K(x,y) * u)) * w) / v5. [para(95099(a,1),231472(a,1,2,1)),rewrite([6492(3),95662(12)])]. 235553 ((x * y) / z) \ ((T(x,u) * y) / z) = K(x,T(u,z * y)). [hyper(18642,a,231372,a),rewrite([2598(4),36551(4),40469(4)]),flip(a)]. 235761 K(((x * y) / z) * K(u,x),w) = K((T(x,u) * y) / z,w). [para(231372(a,1),249(a,1,1)),flip(a)]. 235765 K(x,y) * (T(z * x,K(x,u)) / w) = (T(x,y) * T(z,T(x,u))) / w. [para(251(a,1),231372(a,1,2,1))]. 235782 K(x,y) * (((x * z) / u) * w) = ((T(x,y) * z) / u) * w. [para(231372(a,1),7687(a,2,1)),rewrite([14827(4),8(4),48(7)])]. 235797 K(x,y) * (K(z,x) * ((x * u) / w)) = (T(x,y) * (K(z,x) * u)) / w. [para(9138(a,2),231372(a,1,2,1)),rewrite([9138(4),231376(5)])]. 235855 L(x,y \ (T(z,u) * w),v5) = L(x,y \ (z * w),v5). [para(231372(a,1),24266(a,1,1,2)),rewrite([5538(10),7725(10),235782(9),56(10),28057(4),5538(8),26403(9),28057(7)])]. 235866 (T(x,y) * z) / T(x * u,u \ z) = L(K(x,y) * (u \ z),u,x). [para(21093(a,1),231372(a,1,2)),rewrite([26458(4)]),flip(a)]. 235897 K(x,y) * (K(z,u) * ((x * w) / v5)) = K(z,u) * ((T(x,y) * w) / v5). [para(231372(a,1),10794(a,1,2)),rewrite([1671(3)]),flip(a)]. 235991 K(x,K(y,z) * (x \ (y * u))) = K(x,x \ (T(y,z) * u)). [para(231372(a,1),77814(a,1,2)),rewrite([238(4)]),flip(a)]. 236030 a(x \ (y \ (z \ (T(u,w) * v5))),v6,v7) = a(x \ (y \ (z \ (u * v5))),v6,v7). [para(231372(a,1),96326(a,1,1,2,2)),rewrite([134529(6),134529(11)])]. 236222 a(((x \ (T(y,z) * u)) \ w) * v5,v6,v7) = a(((x \ (y * u)) \ w) * v5,v6,v7). [para(231372(a,1),221535(a,2,1,1,2,1)),rewrite([12023(6),5784(7),13838(5),7724(12),47015(13),12077(13)]),flip(a)]. 236275 (x * y) \ (T(x,y) * z) = (y * x) \ (x * z). [back_rewrite(113760),rewrite([235866(6),9113(3),60534(3)]),flip(a)]. 236277 (T(x,y) * (K(z,x) * u)) / w = K(z,x) * ((T(x,y) * u) / w). [back_rewrite(235797),rewrite([235897(6)]),flip(a)]. 236405 a(x \ (y \ (z \ T(u,w))),v5,v6) = a(x \ (y \ (z \ u)),v5,v6). [para(49(a,1),236030(a,1,1,2,2,2)),rewrite([49(7)])]. 236442 a(x \ (y \ (z \ (u * (T(w,u) * v5)))),v6,v7) = a(x \ (y \ (z \ (u * (w * v5)))),v6,v7). [para(9213(a,1),236030(a,1,1,2,2,2)),flip(a)]. 236578 a(x \ (y \ (z \ (u * (T(w,v5) * v6)))),v7,v8) = a(x \ (y \ (z \ (u * (w * v6)))),v7,v8). [para(182(a,1),236442(a,1,1,2,2,2,2,1)),rewrite([26744(5),96548(8),236030(14)]),flip(a)]. 236708 (x * (a(y,z,u) * w)) / ((x * a(y,z,u)) * w) = a(x,a(y,z,u),w) \ 1. [para(5529(a,2),233361(a,1,1,1)),rewrite([5529(3),203700(13)]),flip(a)]. 236781 K(x,y) * (T(y,x) / z) = y / z. [hyper(5142,a,231508,a,b,410,a),rewrite([231508(3),2598(6),114440(5),27834(6),4773(5),11014(6),9510(6),1039(5),7726(6),178921(5),98126(4)])]. 236889 x / (y \ T(x,z)) = K(z,x) * y. [para(337(a,1),231508(a,2,2)),rewrite([95539(3)])]. 236970 R(K(x,y) / z,z,y) = y / (z * T(y,x)). [para(94500(a,2),231508(a,2,2)),rewrite([7726(3),149(2),201268(8),75459(7)]),flip(a)]. 237008 K(x,x \ y) * ((x \ y) / y) = (x \ y) / ((x \ y) * x). [para(2412(a,1),231508(a,1,2)),flip(a)]. 237147 (T(x,y) / z) \ (x / z) = K(y,T(x,z)). [hyper(18642,a,236781,a),rewrite([2598(4),36551(4),123608(3),11014(3)]),flip(a)]. 237313 K(x,y) * ((L(z,u,w) \ z) \ x) = (L(z,u,w) \ z) \ T(x,y). [hyper(5083,a,91470,a(flip),b,236781,a),rewrite([5754(5),91470(9)])]. 237328 x \ T(x * a(y,z,u),w) = a(y,z,u) * K(a(y,z,u) * x,w). [hyper(5083,a,531,a(flip),b,236781,a),rewrite([5754(5),39996(5),175886(9)]),flip(a)]. 237391 K(x,x \ y) * ((x \ y) / z) = (y / x) / z. [para(238(a,1),236781(a,1,1)),rewrite([412(4)])]. 237536 K(x,y) * ((x / z) * u) = (T(x,y) / z) * u. [para(236781(a,1),6662(a,1,2,1)),rewrite([214508(4),204535(4),5676(3),5754(4)])]. 237537 T((x / y) * K(x,z),y) = K(x,z) * (y \ x). [para(236781(a,1),6724(a,1,1,1)),rewrite([9510(3),97066(8),562(7),9510(9),11774(9),95539(7),96903(8)])]. 237663 (x \ y) / ((x \ y) * x) = (y / x) / y. [back_rewrite(237008),rewrite([237391(5)]),flip(a)]. 237693 K(x,K(y,z * u)) * (u / z) = T(u / z,K(x,y)). [hyper(7088,a,231272,a,b,410,a),rewrite([2598(4),36551(4),1391(5),2598(6),36551(6),231272(9),5754(10),1039(6),9085(10)]),flip(a)]. 237796 x / (y * K(z,T(u,x))) = K(u,z) * (x / y). [para(231272(a,2),39396(a,1,2,2,2)),rewrite([231272(4),39941(6),9756(6),232799(5),1671(7)])]. 238355 T(x \ L(T(x,y),z,u),K(w,v5)) = x \ L(T(x,y),z,u). [para(86612(a,2),237693(a,1,1,2,2)),rewrite([86612(3),63897(5),1599(2),68656(4),86(3),188300(4),48(5),188300(6)]),flip(a)]. 238736 K(x,K(y,z)) * K(z,u) = K(z,K(x,y) * u). [hyper(5081,a,231453,a,b,80,a(flip)),rewrite([7724(6),231319(7),80(5),53456(6),74(2),75(2),124409(6)])]. 239215 K(x,x \ (T(y,z) * z)) = K(x,T(x \ (y * z),z)). [back_rewrite(16895),rewrite([238736(6),235991(5)])]. 239291 K(x,T(x \ (y * z),z)) = K(x,x \ (y * ((y * z) / y))). [back_rewrite(19811),rewrite([239215(4)])]. 239450 K(x,x \ y) * (((x \ y) / z) * u) = ((y / x) / z) * u. [para(237391(a,1),7687(a,2,1)),rewrite([14827(5),8(5),48(8)])]. 239471 a(x * (y \ (z / u)),w,v5) = a(x * (y \ (u \ z)),w,v5). [para(237391(a,1),12546(a,1,1,2)),rewrite([12592(4),12592(8)])]. 239472 a(x * (y * (z \ (u / w))),v5,v6) = a(x * (y * (z \ (w \ u))),v5,v6). [para(237391(a,1),13792(a,1,1,2,2)),rewrite([47335(5),47335(10)])]. 239473 a(x,y,z \ (u / w)) = a(x,y,z \ (w \ u)). [para(237391(a,1),13929(a,1,3)),rewrite([14988(3),14988(6)])]. 239497 L(x,y \ (z / u),w) = L(x,y \ (u \ z),w). [para(237391(a,1),24266(a,1,1,2)),rewrite([5538(11),7725(10),239450(9),56(8),28057(3),5538(8),26403(9),28057(6)])]. 239765 R(x,y,L(z \ (u / w),v5,v6)) = R(x,y,L(z \ (w \ u),v5,v6)). [para(237391(a,1),206639(a,1,3,1)),rewrite([231757(4),231757(8)])]. 239766 R(x,y,z \ (u / w)) = R(x,y,z \ (w \ u)). [para(237391(a,1),217015(a,2,3)),rewrite([5754(4),49(4),176373(5),204273(4),204278(4),204273(6)]),flip(a)]. 239834 a(x,y,z \ (T(u,w) \ v5)) = a(x,y,z \ (u \ v5)). [back_rewrite(96123),rewrite([239473(4),239473(7)])]. 239869 L(x,y \ (T(z,u) \ w),v5) = L(x,y \ (z \ w),v5). [back_rewrite(96037),rewrite([239497(4),239497(7)])]. 239924 R(x,y,z \ (T(u,w) \ v5)) = R(x,y,z \ (u \ v5)). [back_rewrite(216912),rewrite([239766(4),239766(7)])]. 240022 a(x * ((y \ (z / u)) * w),v5,v6) = a(x * ((y \ (u \ z)) * w),v5,v6). [para(77147(a,1),239471(a,1,1,2)),rewrite([12539(7),46992(5),163725(9),77147(11),12539(12),46992(10)])]. 240044 a(x * (y \ ((z \ 1) \ K(u,w))),v5,v6) = a(x * (y \ z),v5,v6). [para(31854(a,2),239471(a,2,1,2,2)),rewrite([59063(4),13829(5),31854(8)]),flip(a)]. 240079 L(x \ (y / z),x \ (z \ y),x \ (z \ y)) = ((x \ (y / z)) \ 1) \ 1. [hyper(295,a,80774,a,b,239497,a),rewrite([411(7),163725(13)]),flip(a)]. 240087 L((x \ (y / z)) \ u,x \ (z \ y),x \ (z \ y)) = (1 / (x \ (y / z))) * u. [hyper(295,a,60426,a(flip),b,239497,a),rewrite([163725(13)]),flip(a)]. 240154 L(x,y \ (((z \ 1) \ u) \ w),v5) = L(x,y \ ((z \ u) \ w),v5). [para(68847(a,1),239497(a,2,2,2)),rewrite([231306(4),69419(6),239497(4)]),flip(a)]. 240162 L(x,y \ (L(z,z,z) \ u),w) = L(x,y \ ((z \ 1) \ u),w). [para(80800(a,1),239497(a,2,2,2)),rewrite([239497(4),240154(11)])]. 240176 L(x,y \ R(z,u,z),w) = L(x,y \ z,w). [para(96988(a,1),239497(a,2,2,2)),rewrite([175858(3),97421(5),50(2)]),flip(a)]. 240376 R(x,y,(z \ (u / w)) \ (w \ u)) = R(x,y,z). [hyper(295,a,204275,a(flip),b,239766,a),flip(a)]. 240428 R(x,y,z \ (((u \ 1) \ w) \ v5)) = R(x,y,z \ ((u \ w) \ v5)). [para(68847(a,1),239766(a,2,3,2)),rewrite([231306(4),226322(6),239766(4)]),flip(a)]. 240429 R(x,y,(z \ (u / w)) * v5) = R(x,y,(z \ (w \ u)) * v5). [para(77147(a,1),239766(a,1,3)),rewrite([203025(6),216853(4),163725(8),77147(10),203025(10),216853(8)])]. 240435 R(x,y,z \ (L(u,u,u) \ w)) = R(x,y,z \ ((u \ 1) \ w)). [para(80800(a,1),239766(a,2,3,2)),rewrite([239766(4),240428(11)])]. 240711 K(x * y,z) * T(x,y) = T(x * K(x * y,z),y). [para(52(a,1),237537(a,1,1,1)),rewrite([58(8)]),flip(a)]. 240759 T(x \ T(y,z),T(x,y)) = T(x \ T(y,z),x). [para(2244(a,1),237537(a,1,1,1)),rewrite([95539(3),36711(5),36202(5),3851(8),120534(8),168(6)])]. 240764 x \ T(a(y,z,u) * x,w) = a(y,z,u) * K(a(y,z,u) * x,w). [para(531(a,1),237537(a,1,1,1)),rewrite([41405(6),50(10),39996(9)])]. 240811 K(x * y,z) * T(y,x) = x \ T(y * x,z). [para(706(a,1),237537(a,1,1,1)),rewrite([9830(5),41405(4),9084(8),168(7)]),flip(a)]. 241656 K((x / y) * L(y,z,u),w) * ((L(y,z,u) \ y) \ x) = T((L(y,z,u) \ y) \ x,w). [hyper(5083,a,233947,a,b,13995,a),rewrite([60848(4),158527(3),233947(10),26378(11),8700(7),48(6),5754(8)])]. 242174 a(x * ((y \ (T(z,u) * w)) \ v5),v6,v7) = a(((y \ (z * w)) \ v5) * x,v6,v7). [para(236277(a,2),221535(a,2,1,1,2,1)),rewrite([12023(7),5784(8),13838(6),236222(6),236277(11),11961(12),12748(13),13812(13),13826(11)]),flip(a)]. 242314 x / (y * K(z \ x,u)) = K(u,x / z) * (x / y). [para(53(a,1),231376(a,2,2,1)),rewrite([91935(4),10523(5),178495(4)])]. 242321 K(x,y) * ((y * x) / z) = (x * y) / z. [para(168(a,1),231376(a,1,1,2)),rewrite([410(2)]),flip(a)]. 242345 K(x,y) * ((y * (x * z)) / u) = (y * (T(x,y) * z)) / u. [para(7763(a,1),231376(a,1,1,2)),flip(a)]. 242683 K(x,x \ y) * (y / z) = (x * (y / x)) / z. [back_rewrite(210720),rewrite([242314(4),238(2)])]. 243739 (x * y) / (z \ (y * x)) = K(x,y) * z. [hyper(5083,a,337,a(flip),b,242321,a),rewrite([5754(2)]),flip(a)]. 243755 R(a(x,y,z) * (K(u,a(x,y,z) * w) * K(w,u)),w,u) = L(a(x,y,z),w,u). [hyper(5081,a,15157,a(flip),b,242321,a),rewrite([213077(10),201268(10),38502(9)]),flip(a)]. 243771 K(x \ y,x) * (y / z) = ((x \ y) * x) / z. [para(51(a,1),242321(a,1,2,1))]. 243781 K((T(x,y) * y) / z,u) = K((y * x) / z,u). [para(242321(a,1),171(a,1,1,1)),rewrite([9510(4),235761(5),1671(9)])]. 243784 K(x \ (y * z),T(u,z * y)) = K((y * z) / x,u). [para(242321(a,1),181(a,1,1)),rewrite([36551(6),26993(6),235761(10),243781(9)])]. 243809 K(x,y) * (((y * x) / z) * u) = ((x * y) / z) * u. [para(242321(a,1),7687(a,2,1)),rewrite([14827(4),8(4),48(7)])]. 243810 (x * (y * (z * a(u,w,a(v5,v6,v7))))) / v8 = ((x * (y * z)) / v8) * a(u,w,a(v5,v6,v7)). [para(8319(a,1),242321(a,1,2,1)),rewrite([12343(5),17629(8),243809(9)]),flip(a)]. 244454 K(x,T((y \ z) * y,u)) = K(x,T(z,y * u)). [hyper(7088,a,243771,a,b,236781,a),rewrite([10756(3),2598(7),36551(7),27562(7),62042(6),27541(6),26853(4),26916(4),243771(11),237147(11)]),flip(a)]. 244547 R(K(x,x \ y) / z,z,y) = y / (z * ((x \ y) * x)). [hyper(5083,a,94500,a,b,243771,a),rewrite([216942(7),5754(6),201268(6),75459(5)])]. 244644 K((x / y) * K(z \ x,z),u) = K(y \ ((z \ x) * z),T(u,x)). [para(243771(a,1),181(a,1,1)),rewrite([36551(6),26993(6)]),flip(a)]. 244645 K(x \ ((y \ z) * y),T(u,z)) = K(y \ (z / (x / y)),u). [para(243771(a,1),181(a,2,1)),rewrite([562(7),44462(7),53543(7),1671(7),244644(5),96274(9)])]. 244664 K(x,((y \ z) * y) / u) = K(x,(y * (z / y)) / u). [para(243771(a,1),261(a,1,2)),rewrite([242683(8)])]. 244677 K(x \ y,x) * ((y / z) * u) = (((x \ y) * x) / z) * u. [para(243771(a,1),7687(a,2,1)),rewrite([14827(4),8(4),48(7)])]. 244695 K(x,x \ y) * ((a(z,u,a(w,v5,v6)) \ y) / v7) = (x * (a(z,u,a(w,v5,v6)) \ (y / x))) / v7. [para(12908(a,1),243771(a,1,1,1)),rewrite([48011(5),238(2),12908(12),19395(12)])]. 245057 K(x,T(y \ ((z \ u) * z),u)) = K(x,(z * (u / z)) / y). [back_rewrite(145649),rewrite([244664(9)])]. 247135 K(x / y,(y * z) / x) = K(y \ x,(x / y) \ z). [hyper(5142,a,42256,a,b,9005,a),rewrite([42256(6),60980(4),178495(6),115369(4),9666(6),36200(5)])]. 247647 x / ((((1 / y) \ y) / x) * ((1 / y) \ y)) = x * ((y \ 1) * ((y \ x) * (y \ (1 / y)))). [hyper(295,a,23192,a(flip),b,180297,a),rewrite([68331(9),172459(7),192764(15)]),flip(a)]. 247666 x * ((x \ y) * (x \ (1 / x))) = y * (x \ (1 / x)). [hyper(7088,a,180297,a(flip),b,23192,a(flip)),rewrite([409(9),192764(14),247647(17),91984(18),50(16),50(15)]),flip(a)]. 248016 R(x,y,z * (u \ (1 / u))) = R(x,y,z). [back_rewrite(217945),rewrite([247666(6)])]. 248127 ((x * y) * ((1 / y) * z)) / (T(y,u) * z) = x * (T(y,u) \ 1). [hyper(5142,a,205680,a,b,73766,a),rewrite([216853(5),217015(5),216640(3),131868(8),214853(7)])]. 248284 x * (T(y,y \ x) \ 1) = T(x * (y \ 1),y). [hyper(5142,a,73766,a(flip),b,9213,a),rewrite([123794(9),3334(7),248127(9)])]. 248470 (x \ K(y,z)) * (x * u) = x * ((K(y,z) / x) * u). [para(2729(a,1),73766(a,1,1)),rewrite([31850(4),27834(8),49(6),2729(7),7725(10),75792(9)])]. 248683 (x \ L(1 / x,y,z)) * (x * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(158007(a,1),73766(a,1,1)),rewrite([63806(4),13654(12),62149(12),337(14)]),flip(a)]. 248766 T(x * (y \ 1),y) = R(y \ x,y,y). [back_rewrite(214346),rewrite([248284(7)]),flip(a)]. 248865 R((x \ y) \ z,x \ y,x \ y) = T(z * ((x \ y) \ 1),x \ y). [hyper(5081,a,214508,a,b,248766,a),rewrite([214508(5)])]. 248916 T((x \ 1) * a(y,z,u),x) = R(x \ a(y,z,u),x,x). [hyper(295,a,15051,a(flip),b,248766,a)]. 249126 T(x \ 1,T(x,y)) = 1 / x. [para(8936(a,1),248766(a,1,1)),rewrite([6958(7),203025(9),204513(8),128570(7)])]. 249272 T(x,R(T(y \ z,y),y,y) \ u) = T(x,y * (z \ u)). [para(248766(a,1),36619(a,1,2,1,1)),rewrite([61(3),12024(10),60848(10),324(9)])]. 249331 R(x * (L(x,y,z) \ u),L(x,y,z),L(x,y,z)) = T((x * u) * (L(x,y,z) \ 1),x). [para(162681(a,1),248766(a,2,1)),rewrite([6174(7)]),flip(a)]. 249726 T(x,y / (x * z)) * z = T(x,x \ (y / z)) * z. [hyper(5083,a,112669,a,b,84077,a),rewrite([112669(10),38421(9),120065(3),7763(5)]),flip(a)]. 249906 L(x,(y * (z / u)) * u,w) = L(x,(y * (u \ z)) * u,w). [para(112669(a,1),26518(a,2,2)),rewrite([82949(7),26518(5)]),flip(a)]. 249987 a(x,y,(z * (u / w)) * w) = a(x,y,(z * (w \ u)) * w). [para(112669(a,1),72848(a,2,3)),rewrite([77990(8),72848(6)]),flip(a)]. 250031 (x * (L(y,z,u) \ 1)) * L((y \ 1) \ 1,z,u) = R(x,L(y,z,u),L(y,z,u)). [para(65026(a,2),112669(a,2,1,2)),rewrite([71522(9),65026(14),191612(16)])]. 250079 a(x,y,(z * (u \ w)) * u) = a(x,y,u * ((w / u) * z)). [para(112669(a,1),136137(a,1,3)),rewrite([249987(4),13396(9)])]. 250111 (x * (L(y,z,u) \ 1)) * T(y,y \ 1) = (x * (1 / L(y,z,u))) * y. [para(165661(a,1),112669(a,1,1,2)),rewrite([165661(7),165646(10),165708(11)])]. 250220 x / (T(y,y \ (x / z)) * z) = T(x / (y * z),y). [back_rewrite(16745),rewrite([249726(4)])]. 250252 R(x,L(y,z,u),y) * (L(y,z,u) \ y) = (x * (1 / L(y,z,u))) * y. [back_rewrite(206809),rewrite([250111(13)])]. 250258 T(x,T(y / (z * u),z * w)) = T(x,T(z \ (y / u),w)). [back_rewrite(35907),rewrite([250220(5),27543(5)])]. 250338 T(x,T(L((y \ 1) \ 1,z,u) * (w * (L(y,z,u) \ 1)),w * L(y,z,u))) = T(x,w). [para(250031(a,1),262(a,2,2)),rewrite([123794(15),128046(14),6492(18)])]. 250429 K(x \ y,(y / x) \ z) = K(x \ y,y \ (x * z)). [hyper(5081,a,242,a,b,77591,a),rewrite([74612(5),36200(5),247135(4),77591(11),60845(8)])]. 250690 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [para(188748(a,1),77591(a,1,2,2)),rewrite([224506(12),27834(6),14494(6),561(4),1039(13),27834(13),27601(13),2739(12),50045(10),129399(7)]),flip(a)]. 250794 x / (y * (K(z,y) * K(u,w))) = (x / (y * K(u,w))) * K(y,z). [hyper(295,a,42302,a(flip),b,178495,a),rewrite([178495(3),7726(9)]),flip(a)]. 250915 (x * L(y,z,u)) / x = L((x * y) / x,z,u). [para(50(a,1),2194(a,1,1,2,1))]. 250959 L(x / T(y,z),u,w) \ (v5 * L(x / y,u,w)) = K(y,z) * T(v5,x / y). [para(2194(a,1),48073(a,1,1)),rewrite([28584(8),250915(7),51(5),28584(13),250915(12),51(10),6174(11)])]. 250968 L(x / y,z,u) \ L(L(x / y,z,u),w,v5) = L(y \ x,z,u) \ L(L(y \ x,z,u),w,v5). [para(2194(a,1),64245(a,1,1)),rewrite([250915(6),51(4),50(10),50(12)])]. 250971 a(x * L(L(y / z,u,w),v5,v6),v7,v8) = a(x * L(L(z \ y,u,w),v5,v6),v7,v8). [para(2194(a,1),70606(a,1,1,2,1)),rewrite([50(9)])]. 250987 L(x,y * L(z / u,w,v5),v6) = L(x,y * L(u \ z,w,v5),v6). [para(2194(a,1),77774(a,1,2,2)),rewrite([50(8)])]. 250991 a(x \ (L(y / z,u,w) \ v5),v6,v7) = a(x \ (L(z \ y,u,w) \ v5),v6,v7). [para(2194(a,1),96369(a,1,1,2,1)),rewrite([50(9)])]. 251008 a(x,y,L(z / u,w,v5)) = a(x,y,L(u \ z,w,v5)). [para(2194(a,1),14988(a,1,3)),rewrite([50(7)])]. 251026 L(x,y,z * L(L(u / w,v5,v6),v7,v8)) = L(x,y,z * L(L(w \ u,v5,v6),v7,v8)). [para(2194(a,1),168807(a,1,3,2,1)),rewrite([50(9)])]. 251038 R(x,y \ L(z / u,w,v5),v6) = R(x,y \ L(u \ z,w,v5),v6). [para(2194(a,1),216240(a,1,2,2)),rewrite([50(8)])]. 251264 L(x,x,y) \ L(L(x,x,y),z,u) = ((x * y) \ y) \ L((x * y) \ y,z,u). [back_rewrite(226611),rewrite([250968(8),158035(8)])]. 251265 R(x \ 1,x,y) \ L(R(x \ 1,x,y),z,u) = L(x,x,y) \ L(L(x,x,y),z,u). [back_rewrite(226587),rewrite([250968(16),158035(16)])]. 251350 L(K(x * L(y,z,u),w) * ((x * y) / x),z,u) = T(x * L(y,z,u),w) / x. [hyper(5083,a,250915,a(flip),b,236781,a),rewrite([5754(7),26458(7)])]. 251509 1 / (x * L(x,y,z)) = (x * L(x,y,z)) \ 1. [hyper(7088,a,173480,a(flip),b,28098,a(flip)),rewrite([66904(7),83239(14),63802(10),51(9)])]. 251514 (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) / ((x * L(x,y,z)) \ 1) = L(x * L(x,y,z),u,w). [hyper(5142,a,173480,a(flip),b,63806,a)]. 251516 ((x * L(x,y,z)) \ 1) \ (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(x * L(x,y,z),u,w). [hyper(5083,a,173480,a(flip),b,70237,a),rewrite([251509(4)])]. 251517 (x * L(x,y,z)) \ (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L((x * L(x,y,z)) \ 1,u,w). [hyper(5083,a,173480,a(flip),b,69933,a)]. 251518 ((x * L(x,y,z)) \ 1) \ 1 = x * L(x,y,z). [hyper(5083,a,173480,a(flip),b,28098,a(flip)),rewrite([83239(12),63802(8),51(7)])]. 251554 (x * R(y,z,u)) / x = R((x * y) / x,z,u). [hyper(5142,a,201669,a(flip),b,42661,a),rewrite([9510(6),201843(6),41903(5)]),flip(a)]. 251564 x \ (x \ R(x * (x * (y / T(x * x,z))),u,w)) = R(y,u,w) / T(x * x,z). [hyper(5083,a,201669,a(flip),b,231281,a(flip)),rewrite([154725(6),172915(8)])]. 251792 (x * y) \ ((x * R(z,u,w)) * y) = R((x * y) \ ((x * z) * y),u,w). [back_rewrite(219208),rewrite([251554(4),251554(3),61(6),61(5),17843(5)]),flip(a)]. 252337 (x * ((1 / y) \ y)) \ z = (y \ 1) * (y \ (x \ z)). [para(51178(a,2),154946(a,1,1,2)),rewrite([31818(4),62160(5),91988(4),62160(10),65874(10),68101(10)])]. 252759 ((x * T(y,z)) \ u) * K(y,z) = T((x * y) \ u,K(y,z)). [para(203(a,2),52447(a,1,2)),rewrite([2598(4),2729(5),41109(5),9510(12),7726(12),5739(12),54670(11)])]. 252817 a(x,y,(z * T(u,w)) \ v5) = a(x,y,(z * u) \ v5). [para(52447(a,1),13992(a,2,3)),rewrite([14980(7),13992(5),13992(9)])]. 252854 L(x,((y * T(z,u)) \ w) \ v5,v6) = L(x,((y * z) \ w) \ v5,v6). [para(52447(a,1),34030(a,2,2,1)),rewrite([34080(8),34030(6),34030(11)])]. 252984 L(x,y,(z * T(u,w)) \ v5) = L(x,y,(z * u) \ v5). [para(52447(a,1),83147(a,2,3)),rewrite([42507(8),83147(6),28466(9)])]. 253178 R(x,(y * T(z,u)) \ w,v5) = R(x,(y * z) \ w,v5). [para(52447(a,1),214508(a,2,2)),rewrite([231272(5),204510(6),214508(4),214557(9)])]. 253181 R(x,y,(z * T(u,w)) \ v5) = R(x,y,(z * u) \ v5). [para(52447(a,1),206638(a,2,3)),rewrite([204288(7),206638(5),206638(9)])]. 253329 a(x,y,(z * (u / w)) \ v5) = a(x,y,(z * (w \ u)) \ v5). [para(412(a,1),252817(a,1,3,1,2)),flip(a)]. 253539 ((x * R(T(y,z),u,w)) \ v5) * K(y,z) = T((x * R(y,u,w)) \ v5,K(y,z)). [para(61(a,1),252759(a,1,1,1,2)),rewrite([6332(6),6332(11)])]. 253590 ((x * y) \ z) * K(x,y) = T((y * x) \ z,K(x,y)). [para(410(a,1),252759(a,1,1,1))]. 253621 (x * a(y,z,u)) \ T(w,K(x,v5)) = T((a(y,z,u) * x) \ w,K(x,v5)). [para(1143(a,1),252759(a,1,1,1)),rewrite([52425(6)])]. 254002 L(L(x,y,z) \ x,u,x * L(x,y,z)) = L(x,y,z) \ x. [hyper(7088,a,101893,a,b,162956,a),rewrite([91472(4),217336(12),73667(15),5754(14),26458(14),201268(11),32394(8),159097(6),91472(6),217142(7)]),flip(a)]. 254100 L(R(T(x,y),z,x),z,x) = T(x,y). [hyper(7088,a,101893,a,b,4278,a),rewrite([11427(3),11492(3),216847(9),168(7),203025(7),83724(10),168(8),25262(8),5754(8),26458(8),201268(7),8495(6),168(3),11427(4),11492(4)]),flip(a)]. 255055 L(R(x \ L(x,y,z),u,x * L(x,y,z)),u,x * L(x,y,z)) = x \ L(x,y,z). [hyper(5081,a,188068,a,b,101893,a),rewrite([188068(2),217243(7),83146(10)]),flip(a)]. 255258 L(R(R(x,y,x),z,u),y,x) = R(x,z,u). [para(101893(a,1),63(a,1,1)),flip(a)]. 255259 L(L(R(x,y,x),z,u),y,x) = L(x,z,u). [para(101893(a,1),64(a,1,1)),flip(a)]. 255277 x * (y * L(R(x,y,x),z,u)) = (x * y) * L(x,z,u). [para(101893(a,1),24271(a,1,2,1)),flip(a)]. 255347 R(x,y,x) \ x = x \ L(x,y,x). [para(101893(a,1),94588(a,2,2)),rewrite([50(4),50(4)]),flip(a)]. 256056 (x \ T(x * (a(y,z,a(u,w,v5)) \ v6),a(v7,v8,v9) \ (v6 * x))) * a(y,z,a(u,w,v5)) = v6. [hyper(5142,a,79474,a,b,7732,a(flip)),rewrite([7732(4),7732(9),16926(10),12132(11),175858(12),7729(7),18239(12),11963(9),13351(8),19453(4)])]. 256260 T(a(x,y,z) / u,u \ 1) = a(x,y,z) / u. [hyper(295,a,122662,a(flip),b,79474,a)]. 256282 (a(x,y,z) \ u) * u = u * (a(x,y,z) \ u). [para(79474(a,1),410(a,1,2))]. 256412 1 / L(1 / x,y,z) = L(x \ 1,y,z) \ 1. [para(70578(a,1),80817(a,1,2)),rewrite([83591(9),83626(7)])]. 256470 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(70578(a,1),80838(a,1,1)),rewrite([83591(8),83626(6)]),flip(a)]. 256473 K(x,y) * (L(1 / z,u,w) \ 1) = 1 / L(z \ K(y,x),u,w). [para(83648(a,1),80838(a,1,1)),rewrite([79006(8),84941(6),27446(7)])]. 256488 L(R((x \ 1) \ 1,y,z),u,w) \ 1 = 1 / L(R(x,y,z),u,w). [para(209955(a,1),80838(a,1,1)),rewrite([210063(7)])]. 256539 (x \ L(x,y,z)) / (L(1 / x,y,z) \ 1) = x * (L(x \ 1,y,z) * L(x \ 1,y,z)). [back_rewrite(211788),rewrite([256470(7)])]. 256734 K(x,y) * T(z,x \ 1) = T(K(x,y) * z,x \ 1). [para(90685(a,1),48073(a,1,1)),rewrite([13983(7),13927(6),12463(5),90685(5),104874(7),13983(10),13927(9),12463(8),90685(8)]),flip(a)]. 256820 T(x,y \ R(y,z,u)) = x. [para(96264(a,1),235(a,1,1,2)),rewrite([49(2)])]. 256821 (x \ R(x,y,z)) * u = u * (x \ R(x,y,z)). [para(96264(a,1),251(a,2,2)),rewrite([152866(5),256820(5),408(8)])]. 256827 T(x,y) * (z \ R(z,u,w)) = (z \ R(z,u,w)) * T(x,y). [para(96264(a,1),4081(a,2,2)),rewrite([152866(5),256820(5),408(10)]),flip(a)]. 256849 (x \ R(x,y,z)) * x = R(x,y,z). [para(96264(a,1),2412(a,1,2)),rewrite([49(3)]),flip(a)]. 256863 R(x,y,z) / x = x \ R(x,y,z). [back_rewrite(62986),rewrite([256820(3)]),flip(a)]. 256868 L(x \ R(x,y,z),x,y * z) = a(x,y,z). [back_rewrite(102481),rewrite([256863(2)])]. 256967 (x * a(y,z,u)) * R(x,w,v5) = x * (R(x,w,v5) * a(y,z,u)). [para(114415(a,1),5593(a,1,1)),rewrite([63041(5),48(6)]),flip(a)]. 257073 R(x \ y,y \ x,y \ x) = ((x \ y) \ 1) \ 1. [para(128570(a,1),60829(a,1,1)),rewrite([170557(5),49(7)]),flip(a)]. 257566 T(x,y * (a(z,u,w) * y)) = T(x,y * y). [para(164205(a,1),220(a,1,2,1)),rewrite([68545(4),7751(5)]),flip(a)]. 257597 K(x,y) * ((y * a(z,u,w)) * x) = (y * a(z,u,w)) * T(x,y). [para(164205(a,1),13226(a,2,2,2))]. 257648 (x * (y \ R(y,z,u))) / x = y \ R(y,z,u). [para(174346(a,1),147(a,2,2)),rewrite([49(8)])]. 257666 x / (y \ R(y,z,u)) = (y \ R(y,z,u)) \ x. [para(174346(a,1),104859(a,1,2)),rewrite([49(5),152866(6),256820(9)]),flip(a)]. 257667 R(x \ R(x,y,z),u,x \ R(x,y,z)) = x \ R(x,y,z). [para(174346(a,1),1735(a,1,1,2)),rewrite([49(4),152866(3)]),flip(a)]. 257670 ((x \ R(x,y,z)) \ u) * (x \ R(x,y,z)) = u. [para(174346(a,1),2412(a,1,2)),rewrite([49(2)]),flip(a)]. 258953 (x \ L(x,y,z)) * T(x,u) = L(T(x,u),y,z). [para(177450(a,1),845(a,1,2,1)),rewrite([8515(8),26458(7),168(6)])]. 258960 (x * (y \ L(T(y,z),u,w))) * y = (x * (y \ L(y,u,w))) * T(y,z). [para(177450(a,1),13996(a,1,2,1)),rewrite([152433(3),64181(9)]),flip(a)]. 259245 x / L(y \ R(y,z,u),w,v5) = L(y \ R(y,z,u),w,v5) \ x. [hyper(295,a,11562,a(flip),b,256820,a),flip(a)]. 259250 K(x * (y \ R(y,z,u)),x) = a(x,y * R(y,z,u),x). [hyper(5083,a,1735,a(flip),b,256820,a(flip)),rewrite([170029(4),135845(3)]),flip(a)]. 259252 x * a(x,y * R(y,z,u),x) = R(x,y \ R(y,z,u),x). [hyper(5081,a,1735,a(flip),b,256820,a(flip)),rewrite([259250(7)]),flip(a)]. 259255 T(x,R(y,z,u) \ R(R(y,w,v5),z,u)) = x. [para(65(a,1),256820(a,1,2,2))]. 259257 T(x,(y \ R(y,z,u)) * w) = T(x,w * (y \ R(y,z,u))). [para(256820(a,1),220(a,1,2,1)),flip(a)]. 259258 K(x,(y \ R(y,z,u)) * w) = K(x,w * (y \ R(y,z,u))). [para(256820(a,1),229(a,1,2,1)),flip(a)]. 259265 (x * (y * (z \ R(z,u,w)))) / (x * y) = L(z \ R(z,u,w),y,x). [para(256820(a,1),7336(a,1,2))]. 259384 T(x,y \ (z \ ((u * (z * y)) / u))) = T(x,K(u,z * y)). [para(517(a,1),12024(a,1,2)),flip(a)]. 259457 L((x \ ((y * (x * z)) / y)) / z,z,x) = K(y,z * x). [para(517(a,1),79608(a,2,1,2)),rewrite([178495(10),9666(10),1300(9)])]. 259458 T(x * K(y,z * x),K(z,y)) = x * K(y,x * z). [para(517(a,1),79956(a,1,2)),rewrite([259384(6),40241(3),562(2),11774(5),259457(11)])]. 259565 K(x * (y / z),z) = K(x * (z \ y),z). [para(112669(a,2),517(a,1,2,1)),rewrite([112669(5),147(6),78106(4),50(5)]),flip(a)]. 259661 x \ R(T(x,x \ 1),y,z) = (x \ 1) * R(x,y,z). [para(2426(a,1),62852(a,2,2)),rewrite([201843(5),149(4),102897(9)])]. 260165 T(x,y * z) * K(y,z) = T(x * K(y,z),y * z). [para(3657(a,1),1205(a,2,2)),rewrite([5754(2),114451(4),9510(4),7763(5),9510(6)])]. 260777 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(5593(a,2),6775(a,1,1)),rewrite([5593(4),5679(4),5679(7)]),flip(a)]. 260877 K(x \ y,x * x) = K(x * y,x * x). [para(68073(a,1),6775(a,2,1)),rewrite([41449(5),60842(8),324(6)])]. 261187 K(x \ (y \ x),x) = K(y \ 1,x). [para(94500(a,2),6779(a,1,1)),rewrite([6332(4),5548(3),6385(6)]),flip(a)]. 261477 T(x,y) \ R(T(T(x,y),y),z,u) = x \ R(T(x,y),z,u). [para(6958(a,1),62852(a,2,2)),rewrite([201843(5),4278(4),104858(4),168(3),63119(10)])]. 261478 T(x,y) \ R(T(x,y) * z,u,w) = x \ R(x * z,u,w). [para(6958(a,1),62675(a,2,1)),rewrite([5754(6),8487(6),201268(5),7763(4),6958(10),62681(12)])]. 261867 T(x,y \ (a(y,z,z) \ u)) = T(x,R(y,z,z) \ u). [para(16569(a,1),12024(a,1,2,1)),flip(a)]. 261875 a(L(x,a(y,z,u),a(y,z,u)),w,v5) = a(x,w,v5). [para(16569(a,1),13787(a,1,1)),rewrite([124219(4)])]. 261940 a(L(x,y,y) * a(x,y,y),z,u) = a(x,z,u). [para(16569(a,1),46456(a,1,1,1)),rewrite([131144(4),261875(8)])]. 261955 a(L((x / y) * z,u,u),w,v5) = a(L((y \ x) * z,u,u),w,v5). [para(16569(a,1),46992(a,1,1)),rewrite([124219(4),12534(7),16569(10),124219(8)])]. 261964 L(x \ y,x,a(x,z,z)) = R(x,z,z) \ (y * a(x,z,z)). [para(16569(a,1),11972(a,2,1)),rewrite([561(2)])]. 262055 R(x,y \ L(y,z,u),y * L(y,z,u)) = R(x,y * L(y,z,u),y * L(y,z,u)). [para(64099(a,1),16569(a,1,1)),rewrite([72892(5),16569(6),217243(10)]),flip(a)]. 262082 R(x,L(y,z,u) \ y,y * L(y,z,u)) = R(x,y * L(y,z,u),y * L(y,z,u)). [para(165285(a,1),16569(a,1,1)),rewrite([163152(5),16569(6),217133(10)]),flip(a)]. 262214 ((L(x,y,z) \ x) * u) * ((L(x,y,z) \ x) \ 1) = R(u,x * L(x,y,z),x * L(x,y,z)). [back_rewrite(217140),rewrite([262082(13)])]. 262473 T((x \ K(y,z)) \ u,K(x,u)) = (x \ K(y,z)) \ u. [hyper(5081,a,31968,a,b,33622,a),rewrite([31968(5),562(10),44462(10),108231(10),562(8)]),flip(a)]. 263130 x / T(K(y,z) * u,z) = (x / T(u,z)) * K(z,y). [para(38072(a,1),42661(a,1,2)),rewrite([231319(3),7726(5),230921(5)]),flip(a)]. 263314 K(x,L(T(y,x),z,u) \ w) = K(x,L(y,z,u) \ w). [para(19895(a,1),38088(a,1,2)),rewrite([562(4),1671(5)]),flip(a)]. 263512 (L(R(x * K(y,z),u,w),v5,v5) \ R(x,u,w)) * K(y,z) = a(v5,v5,R(x,u,w)). [hyper(7088,a,201843,a,b,62290,a),rewrite([208682(4),6174(7),6492(6),547(5),201843(9),219546(10)]),flip(a)]. 264128 L(x,y,y) * (x \ a(y,y,x)) = 1. [hyper(7049,a,62290,a,b,185964,a),rewrite([185964(5),13983(9),13929(8),158630(12),232904(6),7725(12),26458(11),186081(10),5784(9),159345(6)])]. 265257 a(x,x,y * z) * L(y * (z * a(a(u,w,v5),v6,v7)),x,x) = y * (z * a(a(u,w,v5),v6,v7)). [hyper(5081,a,7733,a,b,62290,a),rewrite([7733(4),72878(9)]),flip(a)]. 265516 a(x,y,a(z,u,w)) * (a(v5,v5,v6 * v7) * L(v6 * (a(x,y,a(z,u,w)) \ v7),v5,v5)) = v6 * v7. [para(62290(a,2),9304(a,1,2)),rewrite([72901(7)])]. 265719 (x \ 1) * R(x,y,z) = x * R(1 / x,y,z). [para(65871(a,2),62761(a,1,2,2)),rewrite([65871(4),234506(5),102897(8)]),flip(a)]. 265740 T(K(x,y) * (z \ (K(x,y) / z)),z) = z \ (K(x,y) * (z \ K(x,y))). [para(65871(a,1),178504(a,1,1)),rewrite([75568(6),12023(5),12023(10),172022(13)])]. 265768 x \ R(T(x,x \ 1),y,z) = x * R(1 / x,y,z). [back_rewrite(259661),rewrite([265719(9)])]. 265784 ((x \ 1) \ K(y,z)) \ (K(z,y) / x) = x \ (K(z,y) * (x \ K(z,y))). [back_rewrite(193798),rewrite([265740(6)]),flip(a)]. 265787 (x \ (K(y,z) * (x \ K(y,z)))) * u = K(y,z) * ((x * (K(z,y) * x)) \ u). [back_rewrite(229311),rewrite([265784(7)])]. 265814 x * (K(y,z) * ((x * (K(z,y) * x)) \ u)) = K(y,z) * ((x \ K(y,z)) * u). [back_rewrite(70027),rewrite([265787(6)])]. 265818 x \ R(x,y,a(z,u,w)) = a(x,y,a(z,u,w)). [hyper(11310,a,256868,a),flip(a)]. 265901 x \ R(x,a(y,z,u),w) = a(x,a(y,z,u),w). [hyper(6696,a,256868,a),flip(a)]. 265903 a(x,y,z * a(u,a(w,v5,v6),v7)) = a(x,y,z). [hyper(5081,a,72889,a,b,256868,a),rewrite([72889(4),218203(8),29824(11),256868(8)])]. 265925 L(x * R(x \ 1,y,z),x,y * z) = a(x,y,z). [hyper(5081,a,46610,a(flip),b,256868,a),rewrite([91771(7),28083(9)]),flip(a)]. 265968 (x * y) * a(x * y,x,y) = R(x * y,x,y). [hyper(5083,a,256868,a(flip),b,22934,a),rewrite([64721(6),170032(7)]),flip(a)]. 265971 L(L(x \ R(x,y,z),u,w),x,y * z) = L(a(x,y,z),u,w). [para(256868(a,1),64(a,1,1)),flip(a)]. 265975 L(x \ R(x,y,z),x,z * y) = a(x,y,z). [para(251(a,1),256868(a,1,3)),rewrite([203025(3),25262(6),13983(7)])]. 266010 x * (y * L(y \ (x \ R(x * y,z,u)),x * y,z * u)) = (x * y) * a(x * y,z,u). [para(256868(a,1),24474(a,1,2)),flip(a)]. 266015 a(x * L(x,y,y),z,u) = a(a(y * x,y,x),z,u). [para(256868(a,1),46456(a,2,1)),rewrite([170032(5),265968(4),11009(4),101903(4),62466(4)])]. 266019 L(L(L(x \ R(x,y,z),u,w),v5,v6),x,y * z) = L(L(a(x,y,z),u,w),v5,v6). [para(256868(a,1),417(a,2,1,1))]. 266024 a(x,y,z) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ a(x,y,z). [para(256868(a,1),63806(a,1,1)),rewrite([256868(12)])]. 266048 L(T(x \ (y * R(y \ x,z,u)),y \ x),x \ y,z * u) = a(x \ y,z,u). [para(64423(a,2),256868(a,1,1)),rewrite([256863(8),91771(8),172936(6),28083(11),46610(13)])]. 266049 (a(x,y,z) \ u) * (x \ R(x,y,z)) = (x \ R(x,y,z)) * (a(x,y,z) \ u). [para(256868(a,1),118328(a,1,1,2)),rewrite([6706(2),256868(11)])]. 266154 L(L(x \ R(x,y,z),u,w),x,z * y) = L(a(x,y,z),u,w). [para(251(a,1),265971(a,1,3)),rewrite([203025(3),25262(7),13983(8)])]. 266193 L(a(x,y,z),x,x) = a(x,y,z). [para(60809(a,1),265971(a,1,1)),rewrite([28083(8),265925(6),46610(4)]),flip(a)]. 266383 L(x \ R(x,y,a(z,u,w) * v5),x,a(z,u,w) * (v5 * y)) = a(x,y,a(z,u,w) * v5). [hyper(295,a,20235,a(flip),b,265975,a)]. 266412 L(x \ R(x,y,z * a(u,w,v5)),x,a(u,w,v5) * (z * y)) = a(x,y,z * a(u,w,v5)). [para(15112(a,1),265975(a,1,3)),rewrite([216863(5),83105(10),83339(8),13993(13)])]. 266418 (x * (y * z)) * a(x,z,y) = (x * z) * T(y,z). [para(265975(a,1),24258(a,1,2)),rewrite([8515(10),201268(9),168(8),6623(9),203704(7)])]. 266449 a(x,R(y,z,u),a(w,v5,v6)) = a(x,L(y,z,u),a(w,v5,v6)). [para(15336(a,2),265975(a,1,3)),rewrite([215709(3),265818(4),15336(8),5528(7)]),flip(a)]. 266450 L(T(x \ (y * R(y \ x,z,u)),y \ x),x \ y,u * z) = a(x \ y,z,u). [para(64423(a,2),265975(a,1,1)),rewrite([256863(8),91771(8),172936(6),28083(11),46610(13)])]. 266485 L(x \ R(x,y,z \ (u \ w)),x,(z \ (w / u)) * y) = a(x,y,z \ (u \ w)). [para(239766(a,1),265975(a,1,1,2)),rewrite([239473(11)])]. 266516 L(x \ R(x,y,z \ (u \ w)),x,(z \ ((v5 * v5) \ (w / u))) * y) = a(x,y,z \ (u \ w)). [para(11965(a,1),266485(a,1,1,2,3)),rewrite([226322(5),11965(8),11965(14),226107(15)])]. 266547 a(x,y,z \ (((u \ 1) \ w) \ v5)) = a(x,y,z \ ((u \ w) \ v5)). [para(68847(a,1),266485(a,1,1,2,3,2)),rewrite([240428(6),231306(9),266516(12),68847(8)]),flip(a)]. 266555 L(x \ R(x,y,z \ ((u \ 1) \ w)),x,(z \ (w / L(u,u,u))) * y) = a(x,y,z \ ((u \ 1) \ w)). [para(80800(a,1),266485(a,2,3,2)),rewrite([240435(4),266547(18)])]. 266610 L(x \ R(x,y,z \ (u \ w)),x,(z \ (w / (u * ((1 / v5) \ v5)))) * y) = a(x,y,z \ (u \ w)). [para(180297(a,1),266485(a,1,3,1,2)),rewrite([172459(5),172459(6),248016(7),172459(17),172459(18),78009(19)])]. 266634 ((x * y) / L(y,z,u)) \ (y * x) = L(T(y,x),z,u). [hyper(295,a,223843,a,b,258953,a),rewrite([210733(6),177450(3)])]. 266686 T(x,T(y,z) \ ((y \ L(y,u,w)) \ v5)) = T(x,L(T(y,z),u,w) \ v5). [para(258953(a,1),12024(a,1,2,1)),flip(a)]. 266725 K(x,T(y,z) \ ((y \ L(y,u,w)) \ v5)) = K(x,L(T(y,z),u,w) \ v5). [para(258953(a,1),12016(a,1,2,1)),flip(a)]. 266771 R(x * K(y \ L(y,z,u),x),y \ L(y,z,u),y) = (((y \ L(y,z,u)) * x) * y) / L(y,z,u). [para(258953(a,1),1153(a,2,2)),rewrite([203025(8),210817(15)])]. 266774 R(x,x * L(x,y,z),x) = x. [para(258953(a,1),398(a,2,2)),rewrite([203025(4),206792(3),13654(2),86612(6),52(9)])]. 266786 (x \ L(x,y,z)) * R(x,u,x) = L(R(x,u,x),y,z). [para(1735(a,1),258953(a,1,2)),rewrite([95634(8),12023(5),64181(5),104859(7),188068(6),64035(6),152433(3),1735(8)])]. 266818 ((x \ y) * (y \ x)) * T(x \ y,z) = L(T(x \ y,z),x \ y,x). [para(170410(a,2),258953(a,1,1,2)),rewrite([170410(6),150442(5)])]. 266835 a(L(L(x,y,z) * L(T(x,u),w,v5),x,x),v6,v7) = a(L(x,w,v5) * L(x,y,z),v6,v7). [para(258953(a,1),218721(a,1,1,1)),rewrite([12585(6),188588(4),12585(5),24476(12),64173(11),27362(10),86616(7),162248(11),26392(11)]),flip(a)]. 267589 L(R(R(T(x,y),z,x),u,w),z,x) = R(T(x,y),u,w). [hyper(5081,a,61,a,b,255258,a),rewrite([61(2),203025(5),25262(7)]),flip(a)]. 267602 L(R(L(x,y,z) \ x,u,w),v5,x * L(x,y,z)) = R(L(x,y,z) \ x,u,w). [hyper(295,a,165303,a(flip),b,255258,a),rewrite([217133(5),217142(5)])]. 267612 L(R(R(x \ L(x,y,z),u,x * L(x,y,z)),w,v5),u,x * L(x,y,z)) = R(x \ L(x,y,z),w,v5). [hyper(295,a,83146,a(flip),b,255258,a),rewrite([217243(5)])]. 267635 x * L(R(x,y,z),x,x) = (1 / x) \ R(x,y,z). [hyper(5083,a,255258,a(flip),b,22934,a),rewrite([82013(5),63(6)]),flip(a)]. 267636 L(R(R(R(x,y,x),z,u),w,v5),y,x) = R(R(x,z,u),w,v5). [para(255258(a,1),63(a,1,1)),flip(a)]. 267637 L(L(R(R(x,y,x),z,u),w,v5),y,x) = L(R(x,z,u),w,v5). [para(255258(a,1),64(a,1,1)),flip(a)]. 267648 x * (y * R(R(x,y,x),z,u)) = (x * y) * R(x,z,u). [para(255258(a,1),380(a,1,2)),flip(a)]. 267652 L(R(R((x * x) * y,z,y),u,w),z,y) = R((x * x) * y,u,w). [para(255258(a,1),25954(a,1,2)),rewrite([217392(3),217392(7),217392(6)]),flip(a)]. 267654 R((x * x) * y,z,u) * w = (x * x) * (R(y,z,u) * w). [para(255258(a,1),25953(a,2,2,1)),rewrite([217392(4),217392(3),267652(5)])]. 268549 L(x,x * L(x,y,z),x) = x. [para(266774(a,1),101893(a,1,1))]. 268592 K(x,y) * (x \ R(x,z,u)) = x \ R(T(x,y),z,u). [hyper(5083,a,256863,a,b,36599,a),rewrite([256863(7),169853(7),169853(5),5754(4),261477(9)])]. 268593 (x \ K(y,z)) \ R(x \ 1,u,w) = K(z,y) * (x * R(x \ 1,u,w)). [hyper(5083,a,256863,a,b,31952,a),rewrite([256863(7),91771(7),5754(6)]),flip(a)]. 268595 L(x \ R(x,y,z),u,x * R(x,y,z)) = x \ R(x,y,z). [hyper(5081,a,101893,a,b,256863,a),rewrite([257667(5),174165(5),256863(7)])]. 268598 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(5081,a,75801,a,b,256863,a),rewrite([201268(7),75719(6),256863(12),201883(12)])]. 268601 T(x \ (y * R(y \ x,z,u)),y \ x) = x \ (y * R(y \ x,z,u)). [hyper(5081,a,64423,a,b,256863,a),rewrite([256863(8),91771(8),172936(6),256863(14),91771(14),172936(12)])]. 268605 L(R(x,y,z),u,w) / L(x,u,w) = L(x,u,w) \ L(R(x,y,z),u,w). [hyper(5081,a,11562,a,b,256863,a),rewrite([63(2),11562(5),63(6)]),flip(a)]. 268655 a(x,(y \ R(T(y,z),u,w)) * v5,v6) = a(x,v5 * (y \ R(y,u,w)),v6). [para(256863(a,2),47597(a,1,2,2)),rewrite([256863(4),169853(4)]),flip(a)]. 268669 a(x * (y \ R(y \ 1,z,u)),w,v5) = a(x * (y * R(y \ 1,z,u)),w,v5). [para(256863(a,2),68916(a,1,1,2)),rewrite([256863(6),91771(6)]),flip(a)]. 268684 L(x,y,z * (u \ R(u \ 1,w,v5))) = L(x,y,z * (u * R(u \ 1,w,v5))). [para(256863(a,2),85295(a,1,3,2)),rewrite([256863(6),91771(6)]),flip(a)]. 268709 a(x,(y * R(y,z,u)) * w,v5) = a(x,w * (y \ R(y,z,u)),v5). [para(256863(a,2),47592(a,1,2,1)),rewrite([256863(4),169853(4),174245(4),268655(9)])]. 268714 x \ (x \ R(x,y,z)) = R(x \ 1,y,z). [para(256863(a,2),62146(a,2,2)),rewrite([169922(4),256863(7),234285(8),323(6),49(7)])]. 268718 a(x,L(y \ R(y,z,u),y * R(y,z,u),y),w) = a(x,R(y,z,u) \ y,w). [para(256863(a,2),170769(a,1,2,1)),rewrite([256863(2),174146(5)])]. 268729 (x * (y \ 1)) / (x / y) = (x / y) \ (x * (y \ 1)). [para(214198(a,1),256863(a,1,1)),rewrite([214198(8)])]. 268734 T(x,K(y,z)) * (y \ R(T(y,z),u,w)) = K(y,z) * (x * (y \ R(y,u,w))). [para(256863(a,2),224421(a,1,2,2)),rewrite([256863(5),169853(5)]),flip(a)]. 268737 (x * R(y,z,u)) / L(y,y * R(y,z,u),x) = x * (y \ R(y,z,u)). [para(256863(a,1),230094(a,2,2)),rewrite([174146(5)])]. 268748 L(x \ (y * R(y \ x,z,u)),x \ y,u * z) = a(x \ y,z,u). [back_rewrite(266450),rewrite([268601(6)])]. 268750 L(x \ (y * R(y \ x,z,u)),x \ y,z * u) = a(x \ y,z,u). [back_rewrite(266048),rewrite([268601(6)])]. 268774 R(x,y,z) * ((x * x) \ u) = R(x \ 1,y,z) * u. [back_rewrite(157465),rewrite([268714(3)]),flip(a)]. 268782 R(x \ 1,x,y) * y = x \ y. [back_rewrite(215297),rewrite([268774(4)])]. 268783 R(x,y,z) * ((x \ 1) * u) = x * (R(x \ 1,y,z) * u). [back_rewrite(70170),rewrite([268774(4)]),flip(a)]. 268785 x * (R(x \ 1,y,z) * (x \ u)) = R(1 / x,y,z) * u. [back_rewrite(217549),rewrite([268783(6)])]. 268789 R(T(x \ 1,y),x,y) = y \ (x \ y). [hyper(18642,a,268782,a),rewrite([61(4)])]. 268869 R(T(x,x \ y),x,x * y) = ((1 / x) * y) \ y. [hyper(7088,a,67715,a(flip),b,268782,a),rewrite([206751(8),61(8),162891(6),26378(8)])]. 268897 R(T(x \ K(y,z),u),x,u) = u \ (x \ (K(y,z) * u)). [hyper(7088,a,11961,a(flip),b,268782,a),rewrite([11961(4),49(3),204510(5),61(4)])]. 269130 R(x \ 1,x,y) = (x \ y) / y. [hyper(5358,a,268782,a),flip(a)]. 269219 R(x \ 1,x,y * x) = R(1 / x,x,y). [hyper(5142,a,96988,a(flip),b,268782,a),rewrite([204595(4),203025(8)]),flip(a)]. 269225 R(1 / x,x,x * y) = R(x \ 1,x,y). [hyper(5142,a,80946,a(flip),b,268782,a),rewrite([233924(8),234246(8),80838(6),217015(10),215908(8)]),flip(a)]. 269234 R((x \ 1) \ 1,x,x * y) = R(x,x,y). [hyper(5142,a,67715,a(flip),b,268782,a),rewrite([231281(4),233937(4),206751(9)]),flip(a)]. 269239 (R(x,y,z) * (x \ u)) / (R(x,y,z) * u) = R(x \ 1,x,R(x,y,z) * u). [hyper(5142,a,62852,a(flip),b,268782,a)]. 269242 R(x \ 1,x,x * y) = R(1 / x,x,y). [hyper(5142,a,61822,a(flip),b,268782,a),rewrite([231306(6),232679(6),217015(9)]),flip(a)]. 269262 R(x,x,L(y,x,x)) = (x * y) / L(y,x,x). [hyper(5142,a,22931,a(flip),b,268782,a),rewrite([340(7),214508(7),206751(7)]),flip(a)]. 269343 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(5083,a,165661,a(flip),b,268782,a),rewrite([217133(5),269242(5),207078(4)])]. 269434 R(x,x,y) * (K(z,u) * y) = (K(u,z) / x) \ y. [hyper(5081,a,75801,a,b,268782,a),rewrite([75801(5),31934(7),214508(8),206892(8),208456(7)]),flip(a)]. 269440 R(x \ K(y,z),x,u) * u = x \ (K(y,z) * u). [hyper(5081,a,44061,a,b,268782,a),rewrite([44061(5),204274(8),210404(9)]),flip(a)]. 269476 R(x \ 1,x,y) * (y \ 1) = x \ (y \ 1). [hyper(295,a,214198,a,b,268782,a),rewrite([206104(5),214198(5)])]. 269492 x * R(y \ 1,y,x) = y \ T(x,y \ 1). [hyper(295,a,7984,a(flip),b,268782,a),rewrite([203025(6)])]. 269536 R(x \ 1,x,y) * ((x \ 1) \ y) = (x \ 1) \ (x \ y). [hyper(5083,a,268782,a(flip),b,62761,a),flip(a)]. 269544 R(T(x \ 1,y),x,z) * z = K(x \ 1,y) * (x \ z). [hyper(5083,a,268782,a(flip),b,8487,a),rewrite([5679(4),5754(5),61(9)]),flip(a)]. 269562 K(T(x,y \ 1) / y,z) = K(y \ x,z). [para(268782(a,1),181(a,2,1)),rewrite([269492(4),6492(8),27834(8),49(6),879(6)])]. 269632 K(x,y \ (R(z \ 1,z,y) \ u)) = K(x,y \ (z * u)). [para(268782(a,1),12016(a,1,2,1)),rewrite([60845(3)]),flip(a)]. 269639 R(x \ K(y,z),x,z) = (x \ z) / T(z,y). [para(268782(a,1),41552(a,1,1)),rewrite([201843(8),31850(7)]),flip(a)]. 269691 L(x,y,z \ ((u \ 1) \ w)) = L(x,y,z \ (u \ w)). [para(268782(a,1),85295(a,1,3)),rewrite([217280(11),268782(11)])]. 269720 (x * y) / T(z \ x,R(z \ 1,z,x) \ y) = (z \ x) \ (x * y). [para(268782(a,1),112107(a,1,2,1)),rewrite([268782(12)])]. 269744 a(x * (y \ (z \ K(u,w))),v5,v6) = a((y \ z) * x,v5,v6). [para(268782(a,1),47243(a,1,1,2)),rewrite([206218(10),269492(9),96886(11)])]. 269749 a(x,y \ (z \ 1),u) = a(x,y \ z,u). [para(268782(a,1),50787(a,1,2)),rewrite([206104(9),268782(8)])]. 269771 a(x \ (L(y,z,u) \ y),w,v5) = a(x \ (y * L(y,z,u)),w,v5). [para(268782(a,1),165195(a,1,1)),rewrite([217133(9),268782(12)])]. 269781 ((x \ y) \ R(x \ 1,x,y)) * (y * y) = L(y,y,L(x,x,y)). [para(268782(a,1),89885(a,1,1,1)),rewrite([209136(11),83591(11)])]. 269784 (x \ (1 / y)) * (y * z) = (x \ y) * ((y \ 1) * z). [para(268782(a,1),190596(a,1,1)),rewrite([204273(10),206104(10),268782(9)])]. 269798 R(x \ 1,x,y) * (y * y) = (x \ y) / (1 / y). [para(268782(a,1),210819(a,1,1)),flip(a)]. 269844 (x \ (y \ 1)) * (y * z) = (x \ y) * ((1 / y) * z). [para(268782(a,1),73766(a,1,1)),rewrite([206104(10),268782(9)])]. 269858 (x \ 1) \ (y \ (x \ y)) = x \ (y / (y * (x \ 1))). [back_rewrite(234650),rewrite([268789(6)])]. 269886 (x * y) / L(y,x,x) = R(x,x,y). [back_rewrite(207057),rewrite([269234(6)]),flip(a)]. 269889 R(1 / x,x,R(x,y,z) * (x \ u)) = R(x \ 1,x,R(x,y,z) * u). [back_rewrite(94834),rewrite([269239(12)])]. 269900 (x \ y) / T(y,x) = T(y / (y * x),x). [back_rewrite(235056),rewrite([269639(3)])]. 269910 a((x \ ((y \ 1) \ z)) * u,w,v5) = a((x \ (y \ z)) * u,w,v5). [back_rewrite(134432),rewrite([269691(6),77147(6),12463(6),12534(4)]),flip(a)]. 269916 a((x \ (y \ 1)) * z,u,w) = a(z * (x \ y),u,w). [back_rewrite(240044),rewrite([269744(7)])]. 269928 L(x,y \ (z \ 1),y \ (z \ 1)) = L(x,y \ z,y \ z). [back_rewrite(135793),rewrite([269749(12),85130(11)])]. 269952 R(x,x,L(y,x,x)) = R(x,x,y). [back_rewrite(269262),rewrite([269886(5)])]. 270001 R(1 / x,x,x \ y) = R(x \ 1,x,y). [para(53(a,1),269219(a,1,3)),rewrite([204273(7)]),flip(a)]. 270004 R(T(x,x \ 1),x,y) = R(x,x,y * x). [para(160(a,1),269219(a,2,1)),rewrite([340(4),216904(6),217065(6),214508(4),206751(4),64714(5),149(6),214508(8),206751(8)]),flip(a)]. 270259 R(x,x,x \ y) = R(x,x,x * y). [hyper(295,a,228185,a,b,269952,a),rewrite([60426(3),228307(6)]),flip(a)]. 270411 T(x,K(y,z)) \ (u \ x) = x \ (u \ T(x,K(y,z))). [hyper(5083,a,268789,a,b,44029,a),rewrite([610(7),203025(8),268789(6),5754(5),73(2),75(2),74(2),44029(5)])]. 270428 R(T(x \ 1,y \ 1),x,y) = (y \ 1) \ (x \ (y \ 1)). [hyper(5081,a,68073,a,b,268789,a),rewrite([68073(6),206104(14)]),flip(a)]. 270444 (x * x) * (y \ (x \ (x \ 1))) = T(y \ 1,x \ (x \ 1)). [hyper(5081,a,67094,a(flip),b,268789,a),rewrite([203564(16)])]. 270510 (1 / x) \ (y \ (1 / x)) = (x \ 1) \ (y \ (x \ 1)). [para(23218(a,1),268789(a,1,1)),rewrite([204273(8),206104(8),270428(6)]),flip(a)]. 270517 (x * (y \ a(a(z,u,w),v5,v6))) * (a(a(z,u,w),v5,v6) \ v7) = (x * (y \ 1)) * v7. [para(268789(a,2),29178(a,1,1,2)),rewrite([561(5),22277(5)]),flip(a)]. 270548 L(R(T(x,y),x,y),x,x) = y \ ((x \ 1) \ y). [para(70516(a,2),268789(a,1,1,1)),rewrite([60(2),206751(5),63(3)])]. 270633 (x \ a(y,z,u)) \ R(x \ 1,x,a(y,z,u)) = (x \ a(y,z,u)) \ (a(y,z,u) \ (x \ a(y,z,u))). [para(268789(a,2),188748(a,2,2)),rewrite([188748(10),561(13)]),flip(a)]. 270724 (x / (x * y)) * (y * y) = x \ ((y \ 1) \ x). [back_rewrite(234934),rewrite([270548(3)]),flip(a)]. 270774 R(a(x,y,z) \ 1,a(x,y,z),(x * y) * z) = (x * (y * z)) / ((x * y) * z). [para(7687(a,1),269242(a,1,3)),rewrite([6706(10),210711(14),48(11)])]. 270821 R(a(x,y,z) \ 1,a(x,y,z),(y * z) * R(x,y,z)) = ((y * z) * x) / ((y * z) * R(x,y,z)). [para(101962(a,1),269242(a,1,3)),rewrite([6706(11),102500(15)])]. 270867 L(x,x,x * y) \ L(L(x,x,x * y),z,u) = L(x,x,y) \ L(L(x,x,y),z,u). [para(269242(a,1),203529(a,2,1)),rewrite([51(5),48(5),57736(4),51(9),48(9),57736(8),158035(10),269242(13),94062(14),251265(14)])]. 270948 T(x * R(y \ 1,y,z),x) / R(x,L(y,y,z),x) = (y \ z) / z. [hyper(295,a,107937,a,b,269130,a),rewrite([215709(9),206730(9)])]. 271020 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(269130(a,2),165(a,1,1,1)),rewrite([61(4),269544(5)])]. 271081 (x \ (y \ x)) \ L(x \ (y \ x),z,u) = ((y \ x) / x) \ L(R(y \ 1,y,x),z,u). [para(269130(a,2),64245(a,1,2,1)),flip(a)]. 271136 T(x,R(y \ 1,y,z) \ u) = T(x,((y \ z) / z) \ u). [para(269130(a,2),125629(a,2,2,1)),rewrite([125629(5)]),flip(a)]. 271176 ((x * y) \ x) \ L((x * y) \ x,z,u) = ((y \ x) / x) \ L(R(y \ 1,y,x),z,u). [para(269130(a,1),203529(a,2,1)),rewrite([51(4),48(3),51(6),48(5)])]. 271579 (x \ K(y,z)) \ (x \ (K(y,z) * u)) = (x \ 1) \ (x \ u). [hyper(5083,a,269440,a(flip),b,62761,a),rewrite([213991(13),269536(13)])]. 271712 L(x,y,z \ ((u \ K(w,v5)) \ v6)) = L(x,y,z \ (u \ v6)). [para(269440(a,1),85295(a,1,3)),rewrite([31968(5),217280(11),269440(11),42507(10)])]. 271966 L(x,x,y) \ L(L(x,x,y),z,u) = (y \ ((x \ 1) \ y)) \ L(y \ ((x \ 1) \ y),z,u). [para(270259(a,1),94588(a,2,1)),rewrite([51(2),68073(3),51(6),68073(7),270259(14),234927(16),270867(16)]),flip(a)]. 272299 x / T((y \ R(y,z,u)) \ x,w) = R(y,z,u) * (y \ K(w,R(y,z,u) \ (y * x))). [para(257670(a,1),42869(a,2,1)),rewrite([174346(8),60845(7),48(8),62910(7)]),flip(a)]. 272310 (((x \ R(x,y,z)) \ 1) * u) * (x \ R(x,y,z)) = L(u,x * R(x,y,z),x * R(x,y,z)). [para(28098(a,1),257670(a,1,1)),rewrite([174165(13),174146(13)])]. 272311 R(x,y \ R(y,z,u),x) * (y \ R(y,z,u)) = T(x * (y \ R(y,z,u)),x). [para(96988(a,1),257670(a,1,1))]. 272334 (x * x) \ ((y * (x * R(x \ 1,z,u))) / y) = x \ R(x \ 1,z,u). [hyper(5083,a,257648,a,b,68073,a),rewrite([91771(7)])]. 272379 K(x,y) * (z * R(z \ K(y,x),u,w)) = z * R(z \ 1,u,w). [para(31968(a,1),257648(a,1,1)),rewrite([268593(6),9510(8),7726(8),7726(7),201843(6),31850(5),91771(12)])]. 272385 x * R(x \ 1,y,z) = x \ R(x,y,z). [para(61780(a,1),257648(a,1,1)),rewrite([234473(3),256863(6),268598(6)])]. 272428 (x * x) \ (x \ R(x,y,z)) = x \ R(x \ 1,y,z). [back_rewrite(272334),rewrite([272385(5),257648(5)])]. 272432 K(x,y) * (z * R(z \ K(y,x),u,w)) = z \ R(z,u,w). [back_rewrite(272379),rewrite([272385(10)])]. 272445 L(x,y,z * (u \ R(u \ 1,w,v5))) = L(x,y,z * (u * R(u,w,v5))). [back_rewrite(268684),rewrite([272385(10),174168(10)])]. 272450 a(x * (y \ R(y \ 1,z,u)),w,v5) = a(x * (y * R(y,z,u)),w,v5). [back_rewrite(268669),rewrite([272385(10),174144(10)])]. 272488 (x \ y) \ R(x \ y,z,u) = x \ (y * R(y \ x,z,u)). [back_rewrite(172936),rewrite([272385(6)])]. 272557 R(x \ 1,y,z) \ (x \ R(x,y,z)) = T(x,x \ 1). [hyper(7088,a,272488,a,b,324,a(flip)),rewrite([6492(4),324(8),324(8)]),flip(a)]. 272569 (x \ y) * (x \ (y * R(y \ x,z,u))) = R(x \ y,z,u). [hyper(5457,a,272488,a)]. 272622 (x * (y * z)) \ ((x * y) * (z * R(z \ L(z,y,x),u,w))) = a(x,y,z) \ R(a(x,y,z),u,w). [para(54(a,1),272488(a,1,1)),rewrite([54(6),65467(15),56(11)]),flip(a)]. 272623 L(x,y,z) \ L(R(x,u,w),y,z) = L(x \ R(x,u,w),y,z). [para(56(a,1),272488(a,1,1)),rewrite([56(5),63(3),65467(13),50(9),65467(10),323(6),272385(9),56(10)])]. 272624 x \ (y * (x * R(x \ (y \ x),z,u))) = y \ R(y,z,u). [para(58(a,1),272488(a,1,1)),rewrite([58(3),169853(4),65467(7)]),flip(a)]. 272649 x \ (T(y,z) * R(T(y,z) \ x,u,w)) = x \ (y * R(y \ x,u,w)). [para(7760(a,2),272488(a,2,2)),rewrite([272488(4),201268(9),9113(8)]),flip(a)]. 272651 (x / y) \ R(x / y,z,u) = y \ (x * R(x \ y,z,u)). [para(3361(a,1),272488(a,1,1)),rewrite([3361(7),272488(8),324(5),48(5),272488(4),5754(11),243771(11),52(10),201268(10),2045(9),147(9,R),51(7)]),flip(a)]. 272669 x \ (y * R(y \ x,z,a(u,w,v5))) = a(x \ y,z,a(u,w,v5)). [para(15076(a,2),272488(a,1,2)),rewrite([15076(8),265818(5)]),flip(a)]. 272672 L(x,y,y) \ ((1 / y) * R(y * x,z,u)) = (y * (y * x)) \ (y * R(y * x,z,u)). [para(22931(a,1),272488(a,2,2,2,1)),rewrite([89794(4),89794(7),272488(8),50(5)]),flip(a)]. 272710 (x * y) \ (R(x,z,u) * y) = (y * x) \ (y * R(x,z,u)). [para(57973(a,1),272488(a,1,1)),rewrite([57973(5),272488(6),58(3),6623(4),9084(9),168(8),132214(9),5593(9)])]. 272839 R(x,y,x) \ R(R(x,y,x),z,u) = x \ R(x,z,u). [para(96988(a,1),272488(a,1,1)),rewrite([96988(4),272649(12),65467(9),272624(10)])]. 272872 x \ R(x,x,y) = x * ((x \ y) / y). [para(269130(a,1),272488(a,2,2,2)),rewrite([324(2),324(2),324(7)])]. 272888 L(R(x,y,z),u,w) / L(x,u,w) = L(x \ R(x,y,z),u,w). [back_rewrite(268605),rewrite([272623(8)])]. 272898 L(a(x,y,y),z,u) = a(L(x,z,u),y,y). [back_rewrite(102592),rewrite([272623(4),102153(2)])]. 273135 (R(x,y,z) \ x) \ L(x \ R(x,y,z),x * R(x,y,z),x) = (x \ R(x,y,z)) * (x \ R(x,y,z)). [hyper(5083,a,272623,a,b,170410,a),rewrite([174146(5),174146(9),272623(10)])]. 273144 L(L(x,y,z),u,w) \ L(L(R(x,v5,v6),y,z),u,w) = L(L(x \ R(x,v5,v6),y,z),u,w). [para(63(a,1),272623(a,1,2,1)),rewrite([63(9),272623(10)])]. 273146 L(R(x,y,z),u,w) \ L(R(R(x,v5,v6),y,z),u,w) = L(R(x,y,z) \ R(R(x,y,z),v5,v6),u,w). [para(65(a,1),272623(a,1,2,1))]. 273158 L(x \ R(x,y,z),u,w) * (w * u) = w * (u * (x \ R(x,y,z))). [para(272623(a,2),11786(a,2,1)),rewrite([152866(4),272623(8)]),flip(a)]. 273251 L(x \ R(x,y,z),u,x) = x \ R(x,y,z). [para(101893(a,1),272623(a,1,1)),rewrite([255258(3),272839(6)]),flip(a)]. 273252 L(x,y,x) \ x = a(x,y,x). [para(101893(a,1),272623(a,1,2)),rewrite([170029(4),5525(4)])]. 273256 L(R(R(x,y,x),z,u) \ R(R(R(x,y,x),z,u),w,v5),y,x) = R(x,z,u) \ R(R(x,z,u),w,v5). [para(255258(a,1),272623(a,1,1)),rewrite([267636(5)]),flip(a)]. 273273 (R(x,y,z) \ x) \ (x \ R(x,y,z)) = (x \ R(x,y,z)) * (x \ R(x,y,z)). [back_rewrite(273135),rewrite([273251(7)])]. 273274 a(x,R(y,z,u) \ y,w) = a(x,y * R(y,z,u),w). [back_rewrite(268718),rewrite([273251(5),135845(3)]),flip(a)]. 273367 x \ ((y * y) * (x \ R(x,z,u))) = R(x \ (y * y),z,u). [hyper(5083,a,23536,a(flip),b,272385,a),rewrite([217392(7),51(6),23536(5),23536(9),49(8)])]. 273435 R(x \ 1,y,z) * (u * u) = R(x \ (u * u),y,z). [hyper(5083,a,272385,a(flip),b,22936,a),rewrite([169853(8),23536(5),273367(5),66121(8),6623(10)]),flip(a)]. 273441 T(x,y) * R(x \ 1,z,u) = x \ R(T(x,y),z,u). [hyper(5083,a,272385,a(flip),b,8487,a),rewrite([5754(4),268592(4)]),flip(a)]. 273450 R(x,y,z) * (x \ (u * u)) = x * R(x \ (u * u),y,z). [para(272385(a,1),7(a,1,1)),rewrite([155892(4),273435(9)])]. 273476 R(x,y,z) * (x \ a(u,w,a(v5,v6,v7))) = x * R(x \ a(u,w,a(v5,v6,v7)),y,z). [para(272385(a,1),7735(a,1,1)),rewrite([62982(5),17777(11),12981(10)])]. 273482 (x * R(x \ K(y,z),u,w)) * v5 = (x \ R(x,u,w)) * (K(y,z) * v5). [para(272385(a,1),9566(a,2,1)),rewrite([201843(5),31850(4)])]. 273483 R(x,y,z) * (x \ K(u,w)) = x * R(x \ K(u,w),y,z). [para(272385(a,1),7726(a,1,1)),rewrite([62910(4),201843(9),31850(8)])]. 273516 (x \ R(x,y,z)) * L(u,x,L(x,y,z)) = x * (R(x \ 1,y,z) * u). [para(272385(a,1),380(a,1,1)),rewrite([209727(6)])]. 273520 x * (y * R(y \ (x \ y),z,u)) = y * (x \ R(x,z,u)). [para(272385(a,1),24258(a,2,2)),rewrite([61357(6),49(4),65467(5),169853(9)])]. 273527 x * (R(x \ 1,y,z) * a(a(u,w,v5),v6,v7)) = (x \ R(x,y,z)) * a(a(u,w,v5),v6,v7). [para(272385(a,1),7733(a,1,1)),flip(a)]. 273548 K(x,y) * ((x \ R(x,z,u)) * w) = (x \ R(T(x,y),z,u)) * w. [para(272385(a,1),8630(a,1,2,1)),rewrite([273441(10)])]. 273552 a(R(x \ 1,y,z),u,w) = a(R(x,y,z),u,w). [para(272385(a,1),46456(a,1,1,1)),rewrite([256849(3),65410(6),49(6),133833(6)]),flip(a)]. 273567 L(x,y,z) * R(1 / L(x,y,z),u,w) = L(x * R(1 / x,u,w),y,z). [para(272385(a,1),13542(a,1,2)),rewrite([6332(5),65050(4),63(6),272623(7),26458(7),268592(6),265768(5),151517(11)]),flip(a)]. 273569 K(x \ 1,y) * (x \ R(x,z,u)) = x * R(T(x \ 1,y),z,u). [para(272385(a,1),13226(a,1,2)),rewrite([6332(4),61(11),12990(10)])]. 273593 L(x,R(y \ 1,z,u),w) = L(x,R(y,z,u),w). [para(272385(a,1),25754(a,1,2,2)),rewrite([51(3),65410(6),49(6),28163(6)]),flip(a)]. 273621 a(a(x,y,z),u,w) * (v5 \ R(a(a(x,y,z),u,w) \ 1,v6,v7)) = v5 \ 1. [para(272385(a,1),112586(a,1,2)),rewrite([20158(5),323(5)]),flip(a)]. 273629 a(x * (R(1 / y,z,u) * w),v5,v6) = a(x * (w * R(y,z,u)),v5,v6). [para(272385(a,1),130753(a,1,1,2,2,2)),rewrite([51(3),65410(8),49(8)]),flip(a)]. 273635 a(x * ((R(y \ 1,z,u) * w) * R(y,L(y,z,u),w)),v5,v6) = a(x * ((y \ R(y,z,u)) * w),v5,v6). [para(272385(a,1),102431(a,2,1,2,1)),rewrite([215709(8),206730(8)])]. 273639 a(x,y,z * (u * R(1 / u,w,v5))) = a(x,y,(u \ R(u,w,v5)) * z). [para(272385(a,1),136137(a,1,3,1)),rewrite([151517(8)]),flip(a)]. 273661 x \ (y * R(y \ (z * z),u,w)) = (x \ (y \ R(y,u,w))) * (z * z). [para(272385(a,1),70953(a,2,1,2)),rewrite([273435(5)])]. 273662 x \ (y * R(y \ K(z,u),w,v5)) = (x \ (y \ R(y,w,v5))) * K(z,u). [para(272385(a,1),60873(a,2,1,2)),rewrite([201843(5),31850(4)])]. 273664 x * L(x \ R(x \ 1,y,z),u,w) = x \ L(x \ R(x,y,z),u,w). [para(272385(a,1),69930(a,1,2,1)),flip(a)]. 273700 R(x,y,R(1 / z,u,w)) = R(x,y,R(z,u,w)). [para(272385(a,1),217262(a,1,3,2)),rewrite([51(3),65410(6),49(6)]),flip(a)]. 273758 R(x \ (y * y),x,y) = (x \ y) / (1 / y). [back_rewrite(269798),rewrite([273435(5)])]. 273772 (x \ R(x,y,z)) * (u * u) = x * R(x \ (u * u),y,z). [back_rewrite(155892),rewrite([273450(8)])]. 273790 x / T((y \ R(y,z,u)) \ x,w) = y * R(y \ K(w,R(y,z,u) \ (y * x)),z,u). [back_rewrite(272299),rewrite([273483(12)])]. 273814 x * R(x \ K(x,y),z,u) = x \ R(T(x,y),z,u). [back_rewrite(62942),rewrite([273483(4)])]. 273816 x * R(x \ K(y,x),z,u) = T(x,y) \ R(x,z,u). [back_rewrite(62924),rewrite([273483(4)])]. 273818 (x \ R(x,y,z)) * K(u,w) = x * R(x \ K(u,w),y,z). [back_rewrite(62910),rewrite([273483(8)])]. 273881 L(x,R(y \ K(z,u),w,v5),v6) = L(x,R(y,w,v5),v6). [back_rewrite(208717),rewrite([273593(6)])]. 273885 a(((x \ y) * R(x \ 1,z,u)) * w,v5,v6) = a(w * ((x \ y) * R(x,z,u)),v5,v6). [back_rewrite(169913),rewrite([273629(14)])]. 273889 (x \ y) * R((x \ y) \ (1 / x),z,u) = T(x,x \ 1) \ (y \ R(y,z,u)). [back_rewrite(173053),rewrite([273662(7),64920(7)]),flip(a)]. 273921 a(R(x \ 1,y,z) * u,w,v5) = a(R(x,y,z) * u,w,v5). [back_rewrite(69025),rewrite([273885(7),134313(5)]),flip(a)]. 273934 a(x * R(y \ K(z,u),w,v5),v6,v7) = a(R(y,w,v5) * x,v6,v7). [back_rewrite(213915),rewrite([273921(10)])]. 274161 ((x * y) * z) * (x * (y * z)) = (x * (y * z)) * ((x * y) * z). [para(7687(a,1),7751(a,2,2)),rewrite([351(4)])]. 274257 R(a(x,y,z),u,u) = L(a(x,y,z),u,u). [para(7751(a,1),1153(a,2,1)),rewrite([70(3),49(3),72446(7),72446(6),61746(5),62307(7)])]. 274276 T(x,y / (a(z,u,w) * v5)) = T(x,a(z,u,w) \ (y / v5)). [para(7751(a,2),121523(a,1,2,2)),rewrite([7751(6),257566(7),27742(6),12438(9),3346(9),121349(8)])]. 274793 (1 / x) * (R((y * y) / x,z,u) * (((y * y) / x) \ w)) = R(1 / x,z,u) * w. [hyper(5083,a,62761,a(flip),b,180359,a),rewrite([22473(6),217541(6),180466(4)]),flip(a)]. 274918 (x * x) * (R(1 / y,z,u) * w) = R((x * x) / y,z,u) * w. [hyper(5081,a,62761,a(flip),b,180359,a),rewrite([274793(15)]),flip(a)]. 275489 ((x * x) / y) * R(y,z,u) = (x * x) * (y \ R(y,z,u)). [para(272385(a,1),180359(a,1,2)),rewrite([272651(7),324(4),48(4),340(10)]),flip(a)]. 275510 R(x \ 1,y,z) * ((x \ 1) \ u) = R(x,y,z) * (x \ u). [back_rewrite(169786),rewrite([274918(7),147(2),948(1),49(2)]),flip(a)]. 275511 R(x \ 1,y,z) * ((x * x) * u) = R(x,y,z) * u. [back_rewrite(151851),rewrite([274918(12),147(8),948(7),49(8)])]. 275593 (1 / x) * (R(x,y,z) * u) = x * (R(x \ 1,y,z) * u). [back_rewrite(63201),rewrite([275510(7),169926(4)])]. 275594 R(x \ 1,y,z) * (x * u) = (x \ 1) * (R(x,y,z) * u). [back_rewrite(68216),rewrite([275511(8)]),flip(a)]. 275846 a(a(x,y,z),u,w) \ ((v5 \ 1) \ v6) = (v5 \ a(a(x,y,z),u,w)) \ v6. [hyper(5142,a,68800,a,b,28754,a),rewrite([68800(7),68883(7),52(6)]),flip(a)]. 275851 K(x \ ((y \ 1) \ z),u) = K((z / x) * y,T(u,z)). [hyper(5142,a,68800,a,b,9005,a),rewrite([96175(7),60842(7),324(6),68800(7),178495(11),9666(11),60848(6),324(5),26985(5)]),flip(a)]. 276397 ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * (L(x,y,z) * u) = (((L(x,y,z) \ x) \ 1) \ x) * u. [para(91467(a,1),68800(a,1,2,1))]. 276825 T(((x * x) / y) / (x * x),z) = T((x * x) / ((x * x) * y),z). [para(180145(a,1),223(a,2,1,1)),rewrite([72446(7),41696(7),170840(5),180145(6)]),flip(a)]. 276902 T((x * x) / ((x * x) * y),y) = T(y \ 1,x \ (x \ 1)). [para(180145(a,1),6724(a,1,1,1)),rewrite([276825(5),72446(11),172565(10),67502(9),270444(11)])]. 277057 (L(x \ K(y,z),u,w) \ v5) * K(y,z) = T(L(x \ 1,u,w) \ v5,K(y,z)). [hyper(7088,a,173671,a,b,41109,a(flip)),rewrite([41109(12),60873(14),173671(11),5754(12),158138(12)]),flip(a)]. 277132 L(x,y,z) \ L(R(x \ 1,u,w),y,z) = L(x \ R(x \ 1,u,w),y,z). [hyper(5083,a,272385,a,b,173671,a),rewrite([272385(11),63(8),272623(9),272488(7),324(4),48(4),25944(5),272428(4),63(10)]),flip(a)]. 277134 (x * x) \ (L(x,y,z) \ L(L(x,y,z),u,w)) = L(x,y,z) \ L(L(x \ 1,y,z),u,w). [hyper(5083,a,188068,a,b,173671,a),rewrite([188068(9),158035(9)])]. 277141 (x * x) \ (L(x \ a(a(y,z,u),w,v5),v6,v7) \ v8) = L(x,v6,v7) \ (a(a(y,z,u),w,v5) \ v8). [hyper(5083,a,11962,a,b,173671,a),rewrite([86937(7),66271(6)])]. 277144 L(x,y,z) \ ((x \ 1) * u) = (1 / x) * (L(x,y,z) \ u). [hyper(5083,a,162681,a(flip),b,173671,a),rewrite([162882(8),22473(5),22924(2)]),flip(a)]. 277176 L(x \ 1,y,z) \ (a(a(u,w,v5),v6,v7) \ v8) = L(x \ a(a(u,w,v5),v6,v7),y,z) \ v8. [hyper(5081,a,11962,a,b,173671,a),rewrite([86937(6),66271(5),173671(12)]),flip(a)]. 277192 K(x,x \ 1) * (L(x,y,z) \ u) = L((x \ 1) \ 1,y,z) \ u. [hyper(295,a,72702,a,b,173671,a),rewrite([65068(3),228047(9),50(5)])]. 277194 a(x,y,a(z,u,w)) * (v5 * ((a(x,y,a(z,u,w)) / v5) \ (L(v5,v6,v7) \ v8))) = L(v5 \ 1,v6,v7) \ v8. [hyper(295,a,9304,a,b,173671,a),rewrite([227809(9)])]. 277196 L(x \ (a(y,z,a(u,w,v5)) \ 1),v6,v7) \ v8 = a(y,z,a(u,w,v5)) * (L(x \ 1,v6,v7) \ v8). [hyper(295,a,8385,a(flip),b,173671,a),rewrite([14531(6),17090(11),8385(12),227809(11),277194(12),11963(12)]),flip(a)]. 277235 (1 / x) \ (L(x,y,z) \ u) = x \ (L(x \ 1,y,z) \ u). [hyper(5083,a,173671,a(flip),b,81065,a),flip(a)]. 277245 a(a(x,y,z),u,w) \ (L(a(a(x,y,z),u,w) \ v5,v6,v7) \ v8) = L(v5,v6,v7) \ v8. [hyper(5083,a,173671,a(flip),b,29178,a(flip)),rewrite([256282(4),112974(9),113538(9),112973(10),277141(9),22296(8)]),flip(a)]. 277251 (x * x) * ((L(x,y,z) \ u) * w) = (L(x \ 1,y,z) \ u) * w. [para(173671(a,1),5(a,1,1)),flip(a)]. 277307 ((x * x) \ y) * (L(x \ 1,z,u) \ w) = T(y,x * x) * (L(x,z,u) \ w). [para(173671(a,1),22936(a,1,2))]. 277309 a(x,y,L(z \ 1,u,w) \ v5) = a(x,y,L(z,u,w) \ v5). [para(173671(a,1),24265(a,1,1,2,2)),rewrite([321(13),315(12),173671(11),54(13),321(11),13980(10)])]. 277310 L(x,L(y \ 1,z,u) \ w,v5) = L(x,L(y,z,u) \ w,v5). [para(173671(a,1),24266(a,1,1,2)),rewrite([321(11),6(11),277251(10),56(12),321(9),25321(10)])]. 277315 L(x,y * (L(z \ 1,u,w) \ v5),v6) = L(x,y * (L(z,u,w) \ v5),v6). [para(173671(a,1),25672(a,1,2,2))]. 277350 a(x * (L(y \ 1,z,u) \ w),v5,v6) = a(x * (L(y,z,u) \ w),v5,v6). [para(173671(a,1),46819(a,1,1,2)),rewrite([12686(12)])]. 277391 L(x,y,L(z \ 1,u,w) \ v5) = L(x,y,L(z,u,w) \ v5). [para(173671(a,1),83104(a,2,3)),rewrite([67007(3),66988(6),25316(5)]),flip(a)]. 277393 L(x,y,z * (L(u \ 1,w,v5) \ v6)) = L(x,y,z * (L(u,w,v5) \ v6)). [para(173671(a,1),83097(a,1,3,2))]. 277432 a(x,y,z * (L(u \ 1,w,v5) \ v6)) = a(x,y,(L(u,w,v5) \ v6) * z). [para(173671(a,1),136137(a,2,3,2)),rewrite([6(5),57367(6)]),flip(a)]. 277477 R(x,y,L(z \ 1,u,w) \ v5) = R(x,y,L(z,u,w) \ v5). [para(173671(a,1),217015(a,2,3)),rewrite([67007(3),66988(6),206659(5)]),flip(a)]. 277520 L(x \ 1,y,z) \ L(R(x,u,w),y,z) = L(x * R(x,u,w),y,z). [para(256863(a,2),173671(a,1,2)),rewrite([63(3),272888(5),25954(5),68073(4),174008(4),63(8)]),flip(a)]. 277530 x * ((1 / x) * (L(x,y,z) \ u)) = L(x,y,z) \ L(u,x,x). [back_rewrite(163041),rewrite([277144(5)])]. 277538 (x \ 1) * (x \ (L(x \ 1,y,z) \ u)) = L((x \ 1) \ 1,y,z) \ u. [back_rewrite(163078),rewrite([277192(14)])]. 277539 a(x,y,a(z,u,w)) * (L(v5 \ 1,v5,v6) \ ((v6 * v5) \ (a(x,y,a(z,u,w)) \ v6))) = 1. [back_rewrite(57657),rewrite([277196(12)])]. 277541 x \ (L(x \ 1,y,z) \ 1) = x * (1 / L(x,y,z)). [back_rewrite(194985),rewrite([277235(6)])]. 277654 T(T(x,y * y) * y,y \ (y \ 1)) = x * ((y \ 1) \ 1). [hyper(295,a,32795,a,b,73135,a),rewrite([179795(3),179911(7),335(1),68073(5),48(7)]),flip(a)]. 277673 T(x,y \ 1) \ T(x * y,y \ (y \ 1)) = L(T(y,x),y,y). [hyper(7088,a,73135,a(flip),b,81194,a),rewrite([58(7),36711(5),49(3),60(3),196(2),58(8)]),flip(a)]. 277677 (x \ 1) \ (y * ((x \ 1) \ 1)) = (1 / x) \ (y * x). [hyper(7088,a,73135,a(flip),b,24258,a),rewrite([320(6),77301(5),320(8),277654(13)]),flip(a)]. 277754 K(x * x,x \ y) = K(x * x,y * x). [para(73135(a,1),55(a,1,2)),rewrite([7(5),66975(4),53(3),49(2),82(7),23975(5),91687(8),226081(6)]),flip(a)]. 277805 T(x * y,y \ (y \ 1)) \ z = (x * (y \ 1)) \ ((y * y) \ z). [para(73135(a,1),11892(a,2,1)),rewrite([320(11)]),flip(a)]. 277809 a(x * ((y * (z \ 1)) \ u),w,v5) = a(x * ((y * z) \ u),w,v5). [para(73135(a,2),13791(a,1,1,2,1)),rewrite([73135(5),277805(6),69057(8)])]. 277818 a(x,y,(z * (u \ 1)) \ w) = a(x,y,(z * u) \ w). [para(73135(a,2),13992(a,1,3,1)),rewrite([73135(5),277805(6),226107(7)])]. 277819 T(a(x,y,z) * u,u \ (u \ 1)) = ((u \ 1) \ 1) * a(x,y,z). [para(1143(a,1),73135(a,1,2)),rewrite([68800(6)]),flip(a)]. 277820 T(x * a(y,z,u),x \ (x \ 1)) = ((x \ 1) \ 1) * a(y,z,u). [para(1143(a,1),73135(a,2,1)),rewrite([73135(6),277819(6)]),flip(a)]. 277861 L(x,y * (z * (u \ 1)),w) = L(x,y * (z * u),w). [para(73135(a,1),25672(a,1,2,2)),rewrite([27291(7)]),flip(a)]. 277868 (x * x) * ((y * x) \ z) = (y * (x \ 1)) \ z. [para(73135(a,1),21093(a,1,2,1)),rewrite([12024(12),60848(12),324(11),125556(10),408(5),50(6),231281(7),12445(6),320(13)])]. 277937 T(x \ L(x,y,z),L(x,y,z) \ (L(x,y,z) \ 1)) = (L(x,y,z) \ 1) \ (x \ 1). [para(70237(a,1),73135(a,2,1)),rewrite([166074(9),68073(8)]),flip(a)]. 277946 T(x * (a(y,z,u) \ K(w,v5)),a(y,z,u) * a(y,z,u)) = (a(y,z,u) \ 1) * (x * K(w,v5)). [para(82094(a,2),73135(a,2,2)),rewrite([82475(7),31935(12),67956(12),60873(10),22473(8),80544(8),69321(8),7726(8),9533(9),410(8),7726(6),31935(19),57465(18),53026(19),61612(17),53033(18)]),flip(a)]. 278051 (1 / x) * T(x * y,x) = ((1 / x) * y) * x. [para(202072(a,2),73135(a,2,1)),rewrite([62160(5),68101(10),81181(10),202072(10),67684(16),92240(13),77461(11),22473(8),22924(7)])]. 278100 (x * x) * (y \ (x \ 1)) = T(y \ x,x \ (x \ 1)). [para(268782(a,1),73135(a,1,2)),rewrite([206104(10),268782(9)])]. 278130 (x * (y \ 1)) \ (x / (y * y)) = L(1 / y,y,x). [back_rewrite(198726),rewrite([277805(10),73919(9),408(5)])]. 278187 L(x * K(x * y,y),y,y) = ((1 / y) * x) * y. [back_rewrite(154079),rewrite([278051(9)])]. 278700 T(x,T(y / (((1 / z) * u) * z),w)) = T(x,T(((y / z) / u) * z,w)). [para(278051(a,2),35720(a,2,2,1,2)),rewrite([127329(7),278051(10)]),flip(a)]. 278715 a(L(x,y,y) * y,z,u) = a(L(y * x,y,y),z,u). [para(278051(a,1),46456(a,1,1,1)),rewrite([12592(8),89886(7),124219(5),261955(5),62397(5),26402(10),26414(10),28057(8),28083(8),12547(7)])]. 278782 (((L(x,y,z) \ x) \ 1) * u) * (L(x,y,z) \ x) = L(u,x * L(x,y,z),x * L(x,y,z)). [para(25190(a,1),278051(a,1,2)),rewrite([91470(4),66975(8),91470(6),61613(8),165303(5),165220(5),91470(9)]),flip(a)]. 278878 T(((1 / x) * y) * x,x \ 1) = R(y,x,x). [para(278051(a,1),24832(a,2,1)),rewrite([204273(9),206104(9),204513(7),206209(6),107895(6),218374(6),410(2),89886(4),23218(8)]),flip(a)]. 278909 R(x,y,x) \ 1 = L(x \ 1,y,x). [para(278051(a,1),96988(a,1,2,1)),rewrite([23218(9),278878(9),214657(4),204273(10),206104(10),204513(8),206209(7)])]. 278927 R(x,L(x,y,z),L(x,y,z)) = T(x,x \ 1). [para(106454(a,1),278051(a,1,2,1)),rewrite([337(5),229317(9),194806(8),158808(6),1816(5),6159(5),6329(4),149(4),337(8),13654(5),89886(9)]),flip(a)]. 278954 L(x,y,(((1 / z) * u) * z) * w) = L(x,y,L(u,z,z) * w). [para(278051(a,1),218612(a,1,3,1)),rewrite([22934(10)])]. 279036 a(L((x \ 1) * y,x,x),z,u) = a(L(x * y,x,x),z,u). [back_rewrite(62397),rewrite([278715(8)])]. 279207 x \ ((x / (y \ 1)) / (y * y)) = L(1 / y,y,y \ x). [para(53(a,1),278130(a,1,1)),rewrite([26402(12),83147(12)])]. 279212 ((x * y) \ x) * ((1 / y) \ y) = L(T(y,y \ 1),y,x). [para(160(a,1),278130(a,2,1)),rewrite([340(4),214420(6),48(6),91988(5),111788(6),64714(9),149(10),28057(12),28083(12)])]. 279253 L(1 / x,x,L(x,y,z)) = x \ 1. [para(18710(a,2),278130(a,1,1)),rewrite([69933(8),70241(6),25949(5),61746(4),160420(6)]),flip(a)]. 279766 (x * (y \ 1)) \ (a(a(z,u,w),v5,v6) \ v7) = (x * (y \ a(a(z,u,w),v5,v6))) \ v7. [hyper(5081,a,28887,a,b,277868,a),rewrite([70114(7),277868(12)]),flip(a)]. 279864 (x * x) * (((y * x) \ z) * u) = ((y * (x \ 1)) \ z) * u. [para(277868(a,1),5(a,1,1)),flip(a)]. 279868 ((x \ y) * (x \ y)) * (y \ z) = (x * ((x \ y) \ 1)) \ z. [para(51(a,1),277868(a,1,2,1))]. 279929 a((x * (y \ 1)) \ z,u,w) = a((x * y) \ z,u,w). [para(277868(a,1),12550(a,1,1)),rewrite([13798(10)])]. 279982 a((x * (y \ a(a(z,u,w),v5,v6))) \ v7,v8,v9) = a((x * y) \ v7,v8,v9). [para(277868(a,2),29040(a,1,1)),rewrite([277868(7),279766(7),279929(11)])]. 280185 T(x,T((y \ z) * u,y)) = T(x,z / (y * (u \ 1))). [para(277868(a,2),3346(a,1,2,1)),rewrite([277868(4),123794(8),128046(7),12438(7),61871(7),324(4),127204(5)])]. 280493 x \ (x \ R(x * (x * y),z,u)) = R(y,z,u). [hyper(5306,a,217392,a),rewrite([172915(5)])]. 280522 R(x,y,z) * (u * u) = R(x * (u * u),y,z). [hyper(295,a,6623,a(flip),b,217392,a),rewrite([410(7)])]. 280525 ((1 / x) \ R(y,z,u)) \ R((x * x) * y,z,u) = T(x,x * R(y,z,u)). [hyper(7088,a,217392,a(flip),b,81065,a),rewrite([92240(5)]),flip(a)]. 280564 (x * x) \ R(y,z,u) = R((x * x) \ y,z,u). [hyper(5083,a,217392,a(flip),b,72702,a),rewrite([65068(3),62160(8),68101(7),5754(9),64714(3),201268(9),9138(8),66917(7),50418(7),66904(3),61780(4)]),flip(a)]. 280573 a(x,x,R(y,z,u)) \ R((x * x) * y,z,u) = x * (x * R(y,z,u)). [hyper(5083,a,217392,a(flip),b,7687,a)]. 280576 x * R(x \ (x \ y),z,u) = x \ R(y,z,u). [hyper(5083,a,217392,a(flip),b,65467,a(flip)),rewrite([51(4)]),flip(a)]. 280600 R(x * (y * y),z,u) * w = R(x,z,u) * ((y * y) * w). [para(217392(a,1),7452(a,1,2,1)),rewrite([6332(3),267654(6),9138(7),8546(6),151370(6),280522(7)]),flip(a)]. 280603 R((x * x) * y,z,u) \ w = R(y,z,u) \ ((x * x) \ w). [para(217392(a,1),11892(a,2,1)),rewrite([320(7)]),flip(a)]. 280655 R((x * x) \ y,z,u) \ w = R(y,z,u) \ ((x * x) * w). [para(217392(a,1),26378(a,1,1)),rewrite([7(6),315(7),280603(8),50(7),67502(7),66988(9),280564(7)]),flip(a)]. 280671 a(R((x * x) * (y * (x * x)),z,u),w,v5) = a(R(y,z,u),w,v5). [para(217392(a,1),46456(a,1,1,1)),rewrite([280522(5),7(4),320(10)])]. 280683 L(R((x * x) * y,z,u),w,v5) * v6 = (x * x) * (L(R(y,z,u),w,v5) * v6). [para(217392(a,1),25953(a,1,1,1))]. 280704 L(x,y,z * R((u * u) * w,v5,v6)) = L(x,y,z * R(w,v5,v6)). [para(217392(a,1),83097(a,1,3,2))]. 280728 a(R((x * x) * y,z,u),w,v5) = a(R(y,z,u),w,v5). [para(217392(a,1),47243(a,2,1)),rewrite([51(4),201843(3),208461(4)]),flip(a)]. 280729 a(x,x,R(y,z,u)) \ R((w * w) * y,z,u) = L(R((w * w) * y,z,u),x,x). [para(217392(a,1),7596(a,1,2)),rewrite([66369(4),62168(11),217392(9)])]. 280811 R(x,y,z) / T(u * u,w) = R(x / T(u * u,w),y,z). [back_rewrite(251564),rewrite([280493(8)]),flip(a)]. 280898 R(T(x,y),z,u) / (w * w) = R(T(x,y) / (w * w),z,u). [back_rewrite(151353),rewrite([280564(6),73919(5)]),flip(a)]. 280979 a(R(x * (y * y),z,u),w,v5) = a(R(x,z,u),w,v5). [back_rewrite(280671),rewrite([280728(6)])]. 280983 x * (x * R(y,z,u)) = R(x * (x * y),z,u). [back_rewrite(280573),rewrite([280729(6),68212(4)]),flip(a)]. 280992 T(x * x,y) \ R(z,u,w) = R(T(x * x,y) \ z,u,w). [back_rewrite(154943),rewrite([280811(5),121902(4)]),flip(a)]. 281013 (x / (x * y)) * a(y,y,y) = T(x / (x * y),y). [back_rewrite(234664),rewrite([280898(4),175983(3),269639(3),269900(3)]),flip(a)]. 281043 R(x,y,z) / (u * u) = R(x / (u * u),y,z). [back_rewrite(228107),rewrite([280992(6),225905(5),408(3)]),flip(a)]. 281125 a(R(x \ (y * y),z,u),w,v5) = a(R(x,z,u),w,v5). [para(31938(a,2),280979(a,1,1,1)),rewrite([31938(6),62166(4),273552(8)])]. 281202 a(R(x * (y \ 1),z,u),w,v5) = a(R(x * y,z,u),w,v5). [para(73766(a,1),280979(a,1,1,1)),rewrite([53(4),49(3)]),flip(a)]. 281209 a(L(x,x,y * x),z,u) = a(L(x,x,y),z,u). [para(269219(a,1),280979(a,2,1)),rewrite([62166(4),281125(5),234718(3),133833(7),273552(7),234718(5)])]. 281320 a(x \ R((y * y) \ z,u,w),v5,v6) = a(x \ R(z,u,w),v5,v6). [para(280564(a,1),69459(a,1,1,2))]. 281373 a(x \ R((y * y) * z,u,w),v5,v6) = a(x \ R(z,u,w),v5,v6). [para(280564(a,1),96575(a,2,1,2)),rewrite([67007(3),67094(5),217392(3),281320(10)])]. 281548 a(x \ R(1 / y,z,u),w,v5) = a(x \ R(y,z,u),w,v5). [para(202072(a,1),281373(a,1,1,2,1)),rewrite([1816(3),2045(6),147(6,R),51(3),3334(8),96490(11)])]. 281549 a(x \ R(y \ 1,z,u),w,v5) = a(x \ R(y,z,u),w,v5). [para(202072(a,2),281373(a,1,1,2,1)),rewrite([1816(3),409(4),168(4),96490(6)]),flip(a)]. 281609 a(a(x * y,x,y),z,u) = a(a(y,x,x),z,u). [para(102153(a,1),281549(a,1,1)),rewrite([46610(3),174008(6),131156(5),266015(5)]),flip(a)]. 281635 a(x * L(x,y,y),z,u) = a(a(x,y,y),z,u). [back_rewrite(266015),rewrite([281609(6)])]. 281680 x \ (x \ R(y,z,u)) = R(x \ (x \ y),z,u). [hyper(5306,a,280576,a)]. 281867 x \ R(x * y,z,u) = x * R(x \ y,z,u). [para(50(a,1),280576(a,1,2,1,2)),flip(a)]. 281880 x * R(R(x \ (x \ y),z,u),w,v5) = x \ R(R(y,w,v5),z,u). [para(65(a,1),280576(a,2,2)),rewrite([281680(3)])]. 281883 K(R(x \ (x \ y),z,u) * x,w) = K(R(y,z,u) / x,w). [para(280576(a,1),181(a,1,1)),rewrite([6492(6),27834(6),51(4),62822(4)]),flip(a)]. 281898 (x / y) * R((x / y) \ y,z,u) = (x / y) \ R(x,z,u). [para(340(a,1),280576(a,1,2,1,2))]. 282073 T(x,T(R(y,z,u) / w,y)) = T(x,w \ R(y,z,u)). [para(280576(a,2),115174(a,2,2)),rewrite([6492(4),280576(8)])]. 282109 x \ ((1 / x) \ R(y,z,u)) = R(x \ ((1 / x) \ y),z,u). [para(280576(a,1),62146(a,1,2)),rewrite([234285(16),68832(15)])]. 282132 x \ R(y * (z * z),u,w) = (x \ R(y,u,w)) * (z * z). [para(280576(a,2),70971(a,2,1)),rewrite([280522(3),280576(8)])]. 282203 ((x \ y) * x) * (1 / x) = x \ R(y,x,x). [para(248766(a,2),280576(a,1,2)),rewrite([410(6),73648(5)])]. 282214 x * R(R(x \ 1,y,z),u,w) = x \ R(R(x,y,z),u,w). [para(256863(a,2),280576(a,1,2,1,2)),rewrite([256863(2),268714(3)])]. 282260 x * (y * L(y \ (x * R(x \ y,z,u)),x * y,z * u)) = (x * y) * a(x * y,z,u). [back_rewrite(266010),rewrite([281867(3)])]. 282267 T(x,y) * R(T(x,y) \ z,u,w) = x * R(x \ z,u,w). [back_rewrite(261478),rewrite([281867(5),281867(8)])]. 282290 (x \ K(y,z)) * R((x \ K(y,z)) \ u,w,v5) = x * R(x \ u,w,v5). [back_rewrite(201822),rewrite([281867(10)])]. 282303 x * R(x \ (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [back_rewrite(173700),rewrite([281867(6)])]. 282313 (x \ a(y,z,a(u,w,v5))) * R((x \ a(y,z,a(u,w,v5))) \ v6,v7,v8) = x * R(x \ v6,v7,v8). [back_rewrite(172975),rewrite([281867(12)])]. 282324 (x \ 1) * R((x \ 1) \ y,z,u) = x * R(x \ y,z,u). [back_rewrite(62681),rewrite([281867(10)])]. 282354 (x * R(x \ y,z,u)) * T(w,y) = x * (w * R(w \ (x \ (w * y)),z,u)). [back_rewrite(225777),rewrite([282267(7)]),flip(a)]. 282360 x * (y * R(y \ (x \ (y * z)),u,w)) = y * (x * R(x \ z,u,w)). [back_rewrite(65491),rewrite([282267(5)]),flip(a)]. 282374 (x * R(x \ y,z,u)) * T(w,y) = w * (x * R(x \ y,z,u)). [back_rewrite(282354),rewrite([282360(11)])]. 282758 x \ R(R(y * (z * z),u,w),v5,v6) = (x \ R(R(y,u,w),v5,v6)) * (z * z). [para(281880(a,2),70971(a,2,1)),rewrite([280522(4),280522(3),281880(10)])]. 282909 R(x,y,z) * (u \ (1 / u)) = R(x * (u \ (1 / u)),y,z). [hyper(295,a,66480,a(flip),b,282303,a),rewrite([70265(10),62160(10),172459(10),70265(6),65899(10),281867(12),172459(10),175299(10),61613(11),65410(8),175227(8),70265(11),62160(11)]),flip(a)]. 283005 K(R(x \ (y * (x \ 1)),z,u) * x,w) = K(x \ R(y,z,u),w). [para(282303(a,1),181(a,1,1)),rewrite([6492(10),126893(9),27834(8),4743(7),2717(7),174817(6),6442(4)]),flip(a)]. 283018 T(x,R(y \ (z * (y \ 1)),u,w) * y) = T(x,y \ R(z,u,w)). [para(282303(a,1),262(a,1,2,1)),rewrite([6492(10),126893(9),36711(8),4743(7),2948(7),128476(6),282073(4)]),flip(a)]. 283043 R(R(x \ 1,y,z),u,w) * (x \ 1) = x \ R(R(1 / x,u,w),y,z). [para(11009(a,1),282303(a,1,2,1,2)),rewrite([173697(6),281680(5),281880(7)]),flip(a)]. 283047 T(x,R(y \ (z * (y \ 1)),u,w) \ (y \ v5)) = T(x,y * (R(z,u,w) \ v5)). [para(282303(a,1),12024(a,1,2,1)),rewrite([12024(6),60848(6),324(5)]),flip(a)]. 283083 K(x,R(y \ (z * (y \ 1)),u,w) \ (y \ v5)) = K(x,y * (R(z,u,w) \ v5)). [para(282303(a,1),12016(a,1,2,1)),rewrite([12016(6),60845(6),324(5)]),flip(a)]. 283153 K(x,y \ R((1 / y) \ (z * y),u,w)) = K(x,R(z,u,w) * y). [para(282303(a,1),91922(a,1,2)),rewrite([91687(7),76482(5),277677(11)]),flip(a)]. 283189 R(x,y,z) * (L(x,u,w) \ 1) = L(x,u,w) \ R(x,y,z). [para(118328(a,2),282303(a,1,2,1,2)),rewrite([118328(6),159097(6),280576(7)]),flip(a)]. 283216 R(R(x,y,z),u,w) * (x \ 1) = x \ R(R(x,y,z),u,w). [para(151404(a,2),282303(a,1,2,1,2)),rewrite([272385(8),272488(6),324(3),48(3),281680(3),323(1),282214(5)]),flip(a)]. 283370 (x \ 1) * R(R(x \ 1,y,z),u,w) = x \ R(R(1 / x,u,w),y,z). [hyper(295,a,6623,a,b,283043,a),rewrite([61(8),409(7)])]. 283382 (1 / x) \ R(R(T(x,x \ 1),y,z),u,w) = R(R(x,u,w),y,z) * x. [para(160(a,1),283043(a,2,2,1,1)),rewrite([340(4),340(6),64714(8),149(9)]),flip(a)]. 283469 L(x,y,z \ R(R(1 / z,u,w),v5,v6)) = L(x,y,R(R(z \ 1,v5,v6),u,w) * z). [para(283043(a,1),83104(a,2,3)),rewrite([73507(10),83104(8)]),flip(a)]. 283472 L(x,y,R(R((z \ 1) \ 1,u,w),v5,v6) * z) = L(x,y,z \ R(R(z,v5,v6),u,w)). [para(283043(a,1),85295(a,1,3)),rewrite([337(6),83147(6),73507(14)]),flip(a)]. 283609 R(R(x,y,z),u,w) * x = x * R(R(x,y,z),u,w). [para(160(a,1),283370(a,2,2,1,1)),rewrite([340(4),340(4),64714(8),149(9),283382(11)]),flip(a)]. 283658 L(x,y,R(R(z \ 1,u,w),v5,v6) * z) = L(x,y,z \ R(R(z,u,w),v5,v6)). [para(283370(a,1),83104(a,1,3)),rewrite([283469(6),282214(11)])]. 283722 L(x,y,z \ R(R(1 / z,u,w),v5,v6)) = L(x,y,z \ R(R(z,v5,v6),u,w)). [back_rewrite(283469),rewrite([283658(12)])]. 283855 R(x,y,z) \ (x * R(R(x,y,z),u,w)) = R(R(x,y,z),u,w) * (R(x,y,z) \ x). [hyper(5083,a,283609,a(flip),b,62761,a)]. 283998 a(x \ R(R(x,y,z),u,w),v5,v6) = a(x * R(R(x,y,z),u,w),v5,v6). [para(283609(a,2),46639(a,2,1)),rewrite([283216(5),283609(7)])]. 284497 (R(L(x,y,z) \ u,w,v5) / x) * L(x,y,z) = L(x,y,z) * (x \ R(L(x,y,z) \ u,w,v5)). [hyper(5083,a,281867,a,b,158113,a),rewrite([281867(5),158527(6)])]. 284508 (x \ T(y,z)) * R((x \ T(y,z)) \ u,w,v5) = (x \ y) * R((x \ y) \ u,w,v5). [hyper(5081,a,96799,a,b,281867,a),rewrite([201268(7),99782(6),281867(12)]),flip(a)]. 284509 L(T(x,y),z,u) * R(L(T(x,y),z,u) \ w,v5,v6) = L(x,z,u) * R(L(x,z,u) \ w,v5,v6). [hyper(5081,a,18820,a,b,281867,a),rewrite([201268(7),20018(6),281867(12)]),flip(a)]. 284519 K(x,y) * (z * R(z \ (K(y,x) * u),w,v5)) = z * R(z \ u,w,v5). [hyper(5081,a,7725,a(flip),b,281867,a),rewrite([12023(4),201268(6),5784(5),7725(8),12023(10),281867(9)]),flip(a)]. 284524 ((x \ 1) \ y) * R(((x \ 1) \ y) \ z,u,w) = (x \ y) * R((x \ y) \ z,u,w). [hyper(295,a,68847,a,b,281867,a),rewrite([280564(8),22473(7),66364(6),50(3),281867(5)]),flip(a)]. 284526 (T(x,y) \ z) * R((T(x,y) \ z) \ u,w,v5) = (x \ z) * R((x \ z) \ u,w,v5). [hyper(295,a,33918,a,b,281867,a),rewrite([201268(7),11267(6),281867(7)])]. 284607 R(x,y,z) \ (x * R(x \ u,w,v5)) = x \ (R(x,y,z) \ R(x * u,w,v5)). [hyper(5083,a,281867,a(flip),b,62943,a)]. 284614 T(x,y) \ R(x * z,u,w) = x * R(T(x,y) \ z,u,w). [hyper(5083,a,281867,a(flip),b,8936,a),rewrite([5754(5),9138(5),201268(4),9113(3)]),flip(a)]. 284633 T(x,T(R(y \ z,u,w) * y,z)) = T(x,R(y \ z,u,w) * y). [para(281867(a,2),262(a,1,2,1)),rewrite([281867(3),6492(6),36711(6),40430(6)])]. 284655 R(x,y,z) \ R(x * R(x,y,z),u,w) = R(x,y,z) * R(R(x,y,z) \ x,u,w). [para(11009(a,1),281867(a,1,2,1))]. 284679 a(x,y,z) \ R(u * a(x,y,z),w,v5) = a(x,y,z) * R(a(x,y,z) \ u,w,v5). [para(1143(a,1),281867(a,1,2,1))]. 284700 (1 / x) * R(x * y,z,u) = x * R((x \ 1) * y,z,u). [para(22931(a,1),281867(a,2,2,1)),rewrite([173801(6),63(7),22931(8)]),flip(a)]. 284721 R(x \ y,z,u) * (T(x,x \ y) * w) = R(y / x,z,u) * (x * w). [para(281867(a,2),32795(a,1,1,1)),rewrite([281867(3),251554(4),51(2),6492(9)]),flip(a)]. 284772 L(x * R(x \ y,z,u),x,x) = x * R((x \ 1) * y,z,u). [para(281867(a,1),60809(a,1,1)),rewrite([282324(7)])]. 284773 T(x,R(y \ z,u,w) \ (y \ v5)) = T(x,R(y * z,u,w) \ (y * v5)). [para(281867(a,1),60848(a,1,2,1)),rewrite([12024(5)])]. 284781 T(x,y) * R(x \ L(x,z,u),w,v5) = x * R(x \ L(T(x,y),z,u),w,v5). [para(64035(a,1),281867(a,2,2,1)),rewrite([93253(5),284614(7),96914(5),409(1)]),flip(a)]. 284800 K(x,R(y \ z,u,w) \ (y \ v5)) = K(x,R(y * z,u,w) \ (y * v5)). [para(281867(a,1),60845(a,1,2,1)),rewrite([12016(5)])]. 285108 L(x,y,y) \ (y * R((y \ 1) * x,z,u)) = (y * (y * x)) \ (y * R(y * x,z,u)). [back_rewrite(272672),rewrite([284700(6)])]. 285125 T(x,R(y * (z * (y \ 1)),u,w) \ (y * v5)) = T(x,y * (R(z,u,w) \ v5)). [back_rewrite(283047),rewrite([284773(8)])]. 285132 K(x,R(y * (z * (y \ 1)),u,w) \ (y * v5)) = K(x,y * (R(z,u,w) \ v5)). [back_rewrite(283083),rewrite([284800(8)])]. 285225 (x / y) * R((x / y) \ z,u,w) = (y \ x) * R((y \ x) \ z,u,w). [para(3361(a,1),284524(a,2,1)),rewrite([282290(15),282324(9),3361(12),282324(14)])]. 285310 (x \ y) * R((x \ y) \ x,z,u) = (y / x) \ R(y,z,u). [back_rewrite(281898),rewrite([285225(5)])]. 285406 T(x,x \ y) * R(((x \ y) \ y) \ z,u,w) = x * R(x \ z,u,w). [para(411(a,2),285225(a,2,1)),rewrite([337(2),337(2)]),flip(a)]. 285436 L(x,y,L((z / u) * w,v5,v6)) = L(x,y,L((u \ z) * w,v5,v6)). [para(285225(a,1),85526(a,1,3,1)),rewrite([83661(8),85526(8),65410(6),209136(6),173323(6),26402(10),28057(10),74971(10),209136(10),173323(10)]),flip(a)]. 285443 (T(x,y) / z) * R(z * K(y,x),u,w) = R(z,u,w) * (z \ x). [para(96681(a,1),285225(a,1,2,1)),rewrite([284508(13),151404(11)])]. 285506 L(x,y,L((z \ K(u,w)) * v5,v6,v7)) = L(x,y,L(z * v5,v6,v7)). [back_rewrite(173491),rewrite([285436(5)])]. 285676 T(x * R(x \ y,z,u),y) = x * R(x \ y,z,u). [hyper(7088,a,282374,a,b,148178,a(flip)),rewrite([6174(9),6174(8),409(7),60(17),60(16),93467(19),149(11),1343(11)]),flip(a)]. 285723 (x * (y * R(y \ z,u,w))) / T(x,z) = y * R(y \ z,u,w). [hyper(5358,a,282374,a)]. 285724 T(x,y * R(y \ z,u,w)) = T(x,z). [hyper(5306,a,282374,a),rewrite([58(8)])]. 285880 x * R((x \ y) * K(z,x * R(x \ y,u,w)),u,w) = K(z,y) * (x * R(x \ y,u,w)). [hyper(5083,a,282374,a,b,210,a),rewrite([285724(7),282374(6),8951(6),7726(13),201843(12)]),flip(a)]. 285893 K(x,y * R(y \ z,u,w)) = K(x,z). [hyper(5083,a,282374,a,b,2045,a(flip)),rewrite([2598(11),285676(10),7726(11),201843(10),285880(11),58(9),285724(5),2598(2),409(1)]),flip(a)]. 285970 x * R(x \ T(y,z),u,w) = T(x * R(x \ y,u,w),z). [hyper(5142,a,282374,a(flip),b,7760,a),rewrite([285893(8),104858(7),263130(8),285723(6),7726(5),201843(4),95539(3)])]. 285997 T(x,y * R((y \ z) * K(u,w),v5,v6)) = T(x,K(u,w) * z). [para(282374(a,2),162(a,1,2)),rewrite([2598(5),7726(6),201843(5),43663(4),285724(6),7726(8),201843(7)]),flip(a)]. 287039 R(x,y,z) * (x \ T(u,w)) = T(R(x,y,z) * (x \ u),w). [hyper(295,a,151404,a(flip),b,285970,a),rewrite([284508(11),151404(9)])]. 287089 R(x \ T(y,z),u,w) * x = T(R(x \ y,u,w) * x,z). [hyper(5083,a,285970,a(flip),b,5593,a),rewrite([97973(3),5754(8),1039(3),43658(8),9138(6),201268(5),168(4),6623(4)]),flip(a)]. 287103 x * R(x \ L(T(y,z),u,w),v5,v6) = T(x * R(x \ L(y,u,w),v5,v6),z). [para(60(a,1),285970(a,1,2,1,2))]. 287116 T(x,T(y * R(y \ z,u,w),v5)) = T(x,T(z,v5)). [para(285970(a,2),186(a,2,2)),rewrite([285893(7),7726(5),201843(4),285997(6),2045(2),186(3),285970(6)]),flip(a)]. 287130 T(x,T(R(y \ z,u,w) * y,v5)) = T(x,T(z,y * v5)). [para(285970(a,1),262(a,1,2,1)),rewrite([6492(8),36711(8),128126(8),27543(7),287116(7),121313(4),287089(7)]),flip(a)]. 287139 (T(x,y) / z) * R(z,u,w) = T(R(z,u,w) * (z \ x),y). [para(340(a,1),285970(a,1,2,1)),rewrite([96681(9),285443(10)])]. 287266 L(T(x,y),z,u) * R(L(x,z,u) \ x,w,v5) = T(L(x,z,u) * R(L(x,z,u) \ x,w,v5),y). [para(91483(a,2),285970(a,1,2,1)),rewrite([91483(6),96716(6),284509(13)])]. 287380 x * R(R(y,x,y),z,u) = T(R(y,z,u) * x,y). [para(96988(a,1),285970(a,1,2,1)),rewrite([58(5),6623(6)])]. 287423 T(x * R(1 / x,y,z),u) = x * R(1 / x,y,z). [para(71320(a,1),285970(a,2,1,2,1)),rewrite([547(2),71320(2)]),flip(a)]. 287460 K(R(x,y,z) \ x,u) = 1. [back_rewrite(153039),rewrite([287039(6),63663(4),51(5),407(2)]),flip(a)]. 287476 T(x,y) * R(x \ L(x,z,u),w,v5) = T(x * R(x \ L(x,z,u),w,v5),y). [back_rewrite(284781),rewrite([287103(10)])]. 287485 T(x,R(y \ z,u,w) * y) = T(x,T(z,y)). [back_rewrite(284633),rewrite([287130(5),115415(3)]),flip(a)]. 287508 (R(x,y,z) * u) * x = (x * u) * R(x,y,z). [back_rewrite(267648),rewrite([287380(3),410(4)])]. 287518 (R(x,y,z) \ x) * R(x,y,z) = x. [back_rewrite(179499),rewrite([287460(8),49(6)])]. 287528 T(x,y \ R(z,u,w)) = T(x,y \ z). [back_rewrite(283018),rewrite([287485(7),128476(5),412(2)]),flip(a)]. 287570 T(x,R(x,y,z) \ x) = x. [back_rewrite(19655),rewrite([287518(4)])]. 287599 T(x,R(y,z,u) \ y) = x. [back_rewrite(259255),rewrite([287528(5),287528(4)])]. 287646 (R(x,y,z) * (x \ u)) / u = u \ (R(x,y,z) * (x \ u)). [back_rewrite(151901),rewrite([287528(8),11655(6),44462(6),36595(5),50954(6),3856(5)])]. 287675 (R(x,y,z) \ x) \ x = R(x,y,z). [back_rewrite(97013),rewrite([287570(4)])]. 287688 x / (R(y,z,u) \ y) = (R(y,z,u) \ y) \ x. [hyper(6731,a,287599,a)]. 287698 x / L(R(y,z,u) \ y,w,v5) = L(R(y,z,u) \ y,w,v5) \ x. [hyper(295,a,11562,a(flip),b,287599,a),flip(a)]. 287703 T(R(x,y,z) \ x,u) = R(x,y,z) \ x. [hyper(286,a,287599,a)]. 287712 ((R(x,y,z) \ x) \ u) * (R(x,y,z) \ x) = u. [hyper(270,a,58,a,b,287599,a(flip))]. 287718 K(x,(R(y,z,u) \ y) * w) = K(x,w * (R(y,z,u) \ y)). [para(287599(a,1),229(a,1,2,1)),flip(a)]. 287721 ((R(x,y,z) \ x) \ u) * K(R(x,y,z) * (x \ u),w) = T((R(x,y,z) \ x) \ u,w). [para(287599(a,1),263(a,2,2)),rewrite([287688(6),60842(7),62852(6)])]. 287722 x / R(x,y,z) = R(x,y,z) \ x. [para(287599(a,1),2244(a,1,2))]. 287727 T(x,y) * (R(z,u,w) \ z) = (R(z,u,w) \ z) * T(x,y). [para(287599(a,1),845(a,1,2,1)),flip(a)]. 287738 (R(x,y,z) \ x) \ (K(u,w) * v5) = K(u,w) * ((R(x,y,z) \ x) \ v5). [para(287599(a,1),41963(a,1,1,2)),flip(a)]. 287787 R((R(x,y,z) \ x) \ u,R(x,y,z) \ x,R(x,y,z)) = (u * R(x,y,z)) / x. [para(287599(a,1),210733(a,2,1,2)),rewrite([287688(3)])]. 287817 x / (x * R(x,y,z)) = R(x,y,z) \ 1. [hyper(7088,a,287722,a,b,269440,a),rewrite([208459(5),77(4),215709(7),214148(7),61(6),69875(4),216084(5),287722(9),208459(9),5784(8),63663(6)])]. 287879 T(x / R(T(x,y),z,u),x) = x / R(T(x,y),z,u). [hyper(5142,a,287722,a(flip),b,41903,a),rewrite([6332(4),9510(4),105178(4),61(6)])]. 287904 (R(x,y,z) \ x) \ (a(u,w,a(v5,v6,v7)) \ x) = R(a(u,w,a(v5,v6,v7)) \ x,y,z). [para(287722(a,1),12908(a,1,1)),rewrite([65394(10)])]. 287905 R(T(x,y),z,u) \ T(x,y) = R(x,z,u) \ x. [para(287722(a,2),11215(a,2,1)),rewrite([61(2),6332(5),95539(5),287722(6),6332(8),287703(8)])]. 287909 K(x,y) * ((R(x,z,u) \ x) \ w) = (R(T(x,y),z,u) \ x) \ w. [para(287722(a,2),12020(a,1,1)),rewrite([287722(2),6332(4),287738(5),61(7)])]. 287937 a(R(x,y,z) \ x,u,w) = a(x * R(x,y,z),u,w). [para(287722(a,2),96371(a,2,1)),rewrite([63590(4),96371(5),134340(3),287722(5)]),flip(a)]. 287949 (x / y) / (x * (y \ 1)) = (x * (y \ 1)) \ (x / y). [para(214198(a,1),287722(a,1,2)),rewrite([214198(7)])]. 287958 x / R(T(x,y),z,u) = R(T(x,y),z,u) \ x. [para(287722(a,1),231508(a,2,2)),rewrite([201843(3),149(2),11209(7)])]. 287987 T(R(T(x,y),z,u) \ x,x) = R(T(x,y),z,u) \ x. [back_rewrite(287879),rewrite([287958(3),287958(7)])]. 288055 K(x,y \ R(z,u,w)) = K(x,y \ z). [hyper(5083,a,282132,a,b,7752,a),rewrite([282132(14),8064(14),287528(7),235553(11),3545(6),287528(4),409(3)]),flip(a)]. 288155 x \ L(R(y * (z * z),u,w),v5,v6) = (x \ L(R(y,u,w),v5,v6)) * (z * z). [para(63(a,1),282132(a,2,1,2)),rewrite([25958(3),63(4)])]. 288225 (x \ R(y \ 1,z,u)) * (w * w) = x \ R(y \ (w * w),z,u). [para(31938(a,2),282132(a,1,2,1)),rewrite([31938(6),62166(4)]),flip(a)]. 288255 x \ (y * R(z * (u * u),w,v5)) = (x \ (y * R(z,w,v5))) * (u * u). [para(282132(a,1),60487(a,1,1)),rewrite([87873(7)]),flip(a)]. 288433 K(x,R(y,z,u) * w) = K(x,y * w). [back_rewrite(283153),rewrite([288055(7),181472(5),60845(5),410(3),324(3)]),flip(a)]. 288490 (x \ y) \ ((x \ y) / (1 / y)) = L(y,y,L(x,x,y)). [back_rewrite(269781),rewrite([288225(7),273758(4)])]. 288590 K(x,y * R(z,u,w)) = K(x,y * z). [back_rewrite(3003),rewrite([288433(4),229(3)]),flip(a)]. 288625 K(x,y / R(z,u,w)) = K(x,y / z). [back_rewrite(63719),rewrite([288590(6),10756(5),36637(4)])]. 288703 K(x,T((y * z) * u,y)) = K(x,(z * u) * y). [back_rewrite(101960),rewrite([288590(8)])]. 288727 (T(R(x,y,z) \ u,w) \ u) * K(R(x,y,z) \ u,x) = R(x * K(w,u / x),y,z). [back_rewrite(202160),rewrite([288625(11)])]. 288729 K(x,T(y * (z \ u),u)) = K(x,(u * y) / z). [back_rewrite(95653),rewrite([288625(5)]),flip(a)]. 288732 K(x,R(x,y,z) \ u) = K(x,x \ u). [back_rewrite(6205),rewrite([288625(3),238(2)]),flip(a)]. 288750 K(x,(y * z) * u) * y = y * K(x,z * (u * y)). [back_rewrite(147061),rewrite([288703(4)])]. 288760 K(x,(a(y,z,u) * w) * v5) = K(x,w * (v5 * a(y,z,u))). [back_rewrite(36052),rewrite([288703(5)])]. 288761 K(x,(L(T(y,z * u),w,v5) * z) * u) = K(x,z * (u * L(y,w,v5))). [back_rewrite(27023),rewrite([288703(7)])]. 288763 K(x,L(y,z,u) * (u * z)) = K(x,(y * u) * z). [back_rewrite(27008),rewrite([288703(8)])]. 288782 K(x,x \ (y * z)) = K(x,(x \ y) * z). [back_rewrite(100968),rewrite([288729(5),50970(4)])]. 288825 (R(x,y,z) \ u) * R(x,y,z) = (x \ u) * x. [back_rewrite(179559),rewrite([288732(4),185964(6),232904(6),706(3),2412(3)]),flip(a)]. 288997 K(x,T(x \ (y * z),z)) = K(x,(x \ y) * T(z,y)). [back_rewrite(239291),rewrite([288782(9),54546(9)])]. 289267 x * (a(y,z,u) * K(w,a(y,z,u) * (w \ x))) = w * ((x * a(y,z,u)) / w). [back_rewrite(17743),rewrite([288782(4),39887(6)])]. 289315 x * (y * K(z,(z \ x) * y)) = z * ((x * y) / z). [back_rewrite(7713),rewrite([288782(3)])]. 289332 K(R(x,y,z) \ u,x) = K(x \ u,x). [back_rewrite(111120),rewrite([288825(4),145018(7)]),flip(a)]. 289390 T((x \ a(y,z,u)) * x,w) = (x \ a(y,z,u)) * x. [back_rewrite(179501),rewrite([289332(5),2412(5),288825(9)])]. 289410 x / T(y,y \ (R(y,z,u) \ x)) = (y \ (x / y)) * y. [back_rewrite(101562),rewrite([288825(10)])]. 289468 T(R(x,y,z) \ u,w) \ ((x \ u) * x) = R(x * K(w,u / x),y,z). [back_rewrite(288727),rewrite([289332(7),145188(7)])]. 289555 (x \ (R(x,y,z) \ u)) * R(x,y,z) = (x \ (x \ u)) * x. [back_rewrite(105130),rewrite([289410(5),144952(4)]),flip(a)]. 289592 T(x,x \ (R(x,y,z) \ u)) \ u = (x \ (x \ u)) * x. [back_rewrite(63722),rewrite([289555(10)])]. 289639 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [hyper(7088,a,288825,a,b,7984,a),rewrite([219551(5),3334(4),61(4),288825(13),288825(11),289468(10),238(6),149(7)])]. 289664 x / R(T(T(y,y \ x),z),u,w) = R(T(y,z),u,w) \ x. [hyper(5142,a,223843,a,b,288825,a),rewrite([214557(6),214687(5),410(4),225587(6),178495(7),1039(5),201843(6),4278(5),4383(5)])]. 289768 ((x \ y) * x) / (T(R(x,z,u) \ y,w) * R(x,z,u)) = K(w,R(x,z,u) \ y). [hyper(5142,a,288825,a(flip),b,8487,a)]. 289773 T(R(x,y,z) \ u,w) * R(x,y,z) = K(R(x,y,z) \ u,w) * ((x \ u) * x). [hyper(5083,a,288825,a(flip),b,8487,a),rewrite([5754(6)]),flip(a)]. 289909 (((x * y) / z) \ u) * ((x * y) / z) = ((x / (z / y)) \ u) * (x / (z / y)). [para(204224(a,1),288825(a,1,1,1)),rewrite([204224(7)])]. 289933 ((a(x,y,z) \ 1) \ u) * (a(x,y,z) \ 1) = u. [para(233361(a,1),288825(a,1,1,1)),rewrite([233361(16),289909(12),57(4),287722(2),57(7),287722(5),287712(6)]),flip(a)]. 289990 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [back_rewrite(7339),rewrite([289639(4)])]. 290112 ((x * x) \ y) * R(z * (x * x),u,w) = T(y * R(z,u,w),x * x). [hyper(7088,a,22931,a(flip),b,288155,a(flip)),rewrite([22931(5),288255(10),22473(8),7(10),280522(9)]),flip(a)]. 290757 (x * y) / R(T(x,y),z,u) = R(x,z,u) \ (x * y). [para(50(a,1),289990(a,1,2,1,2))]. 290778 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(340(a,1),289990(a,1,2,1,2)),rewrite([412(2)])]. 290829 (R(T(x,y),z,u) \ w) \ (v5 * (R(x,z,u) \ w)) = K(x,T(y,w)) * T(v5,R(x,z,u) \ w). [para(289990(a,1),48073(a,1,2,2)),rewrite([61(4),289664(5),6332(11),1039(10),27834(10),3545(10),289990(13)])]. 290916 K(x,y \ (R(z,u,w) \ v5)) = K(x,y \ (z \ v5)). [para(289990(a,1),122610(a,2,2,2)),rewrite([288625(6),122610(5),2244(3)]),flip(a)]. 290937 x / L(R(L(y,z,u) \ y,w,v5),v6,v7) = L(R(L(y,z,u) \ y,w,v5),v6,v7) \ x. [para(118292(a,2),289990(a,1,2,1,2)),rewrite([118292(7),60(8),91472(7),63(4),63(9)])]. 291003 R(x * (y * y),z,u) \ w = (y * y) \ (R(x,z,u) \ w). [para(289990(a,2),20865(a,2,2)),rewrite([280522(3),289990(9)])]. 291107 K(x,y \ ((z \ 1) \ u)) = K(x,y \ (z * u)). [back_rewrite(269632),rewrite([290916(6)])]. 291116 K(x,R(y,z,u) \ (w \ v5)) = K(x,y \ (w \ v5)). [back_rewrite(102864),rewrite([290916(5),34929(4)]),flip(a)]. 291163 K(x,L(y,z,z) \ u) = K(x,y \ u). [back_rewrite(62373),rewrite([291107(6),51(2)]),flip(a)]. 291169 K(x,R(y * z,u,w) \ (y * v5)) = K(x,z \ v5). [back_rewrite(284800),rewrite([291116(5),60845(4),51(2)]),flip(a)]. 291186 K(x,y \ ((1 / z) * u)) = K(x,y \ (z \ u)). [back_rewrite(74674),rewrite([291163(6)])]. 291192 K(x,y * (R(z,u,w) \ v5)) = K(x,y * (z \ v5)). [back_rewrite(285132),rewrite([291169(8),12016(5),60845(5),324(4)]),flip(a)]. 291201 K(x,(R(y,z,u) \ y) * w) = K(x,w). [back_rewrite(287718),rewrite([291192(8),323(5),49(6)])]. 291260 L(R(x * (y * y),z,u),w,v5) \ v6 = (y * y) \ (L(R(x,z,u),w,v5) \ v6). [para(63(a,1),291003(a,2,2,1)),rewrite([25958(3),63(4)])]. 291261 R(R(x * (y * y),z,u),w,v5) \ v6 = (y * y) \ (R(R(x,w,v5),z,u) \ v6). [para(65(a,1),291003(a,2,2,1)),rewrite([280522(3)])]. 291306 L(x,R(y * (z * z),u,w),v5) = L(x,R(y,u,w),v5). [para(291003(a,1),28083(a,1,2)),rewrite([25603(6),28083(4)]),flip(a)]. 291310 (x * x) \ (R(y \ 1,z,u) \ w) = R(y \ (x * x),z,u) \ w. [para(31938(a,2),291003(a,1,1,1)),rewrite([31938(6),62166(4)]),flip(a)]. 291406 a(x,y * R(z * (u * u),w,v5),v6) = a(x,y * R(z,w,v5),v6). [para(291003(a,1),50787(a,1,2,2)),rewrite([22971(7),50788(5)]),flip(a)]. 291413 (x * x) \ (L(R(y \ 1,z,u),w,v5) \ v6) = L(R(y \ (x * x),z,u),w,v5) \ v6. [para(157346(a,2),291003(a,1,1,1)),rewrite([22473(4),158019(5),25958(5),62166(4),63(4),63(10)]),flip(a)]. 291416 L(R(x * (y * y),z,u),w,v5) * v6 = L(R(x,z,u),w,v5) * ((y * y) * v6). [para(291003(a,1),158113(a,1,2,2)),rewrite([280600(13),72497(12),60(9),61(8),77478(7),408(5),280683(8),159442(9)]),flip(a)]. 291938 x \ T(y * x,x \ 1) = T((x \ y) * x,x \ 1). [hyper(18642,a,282203,a),rewrite([23218(5),81391(10),123691(9)]),flip(a)]. 291952 T(x,a(y,z,u) \ 1) = x. [hyper(7088,a,82094,a,b,282203,a),rewrite([71386(13),20404(12),110125(10),48663(10),289933(8),71386(5),206218(14),206892(12),201268(11),123691(12),7724(7),11961(12),129369(11),291938(8),6592(4)]),flip(a)]. 292656 T(x,y \ L(y,z,u)) = x. [back_rewrite(189148),rewrite([291952(4)]),flip(a)]. 292675 K(a(x,y,z) \ 1,u) = 1. [back_rewrite(129485),rewrite([291952(12),31331(10),409(4),129403(4)])]. 292676 K(x,a(y,z,u) \ 1) = 1. [back_rewrite(129481),rewrite([291952(7),27939(10),959(5),129399(4)])]. 292691 (x * (y * (z \ (a(u,w,v5) \ z)))) / (x * y) = L(z \ (a(u,w,v5) \ z),y,x). [back_rewrite(129436),rewrite([291952(10)])]. 292700 T(x \ (a(y,z,u) \ x),w) = x \ (a(y,z,u) \ x). [back_rewrite(129423),rewrite([291952(4)]),xx(a)]. 292701 x / (y \ (a(z,u,w) \ y)) = (y \ (a(z,u,w) \ y)) \ x. [back_rewrite(129395),rewrite([291952(8)])]. 292707 T(x,y \ (a(z,u,w) \ y)) = x. [back_rewrite(127632),rewrite([291952(8)])]. 292709 (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). [back_rewrite(113136),rewrite([291952(8)])]. 292756 (a(x,y,z) \ u) / u = u \ (a(x,y,z) \ u). [back_rewrite(189187),rewrite([292656(4)]),flip(a)]. 292769 R(x \ (a(y,z,u) \ x),x,x) = (a(y,z,u) \ x) * (x \ 1). [back_rewrite(214416),rewrite([292656(9)])]. 292781 K(x,y) * ((x \ (a(z,u,w) \ x)) \ v5) = ((a(z,u,w) \ x) / T(x,y)) \ v5. [back_rewrite(189241),rewrite([292656(5)]),flip(a)]. 292788 x / (a(y,z,u) * x) = (a(y,z,u) * x) \ x. [back_rewrite(189192),rewrite([292656(5)])]. 292790 T((a(x,y,z) \ u) / T(u,w),u) = (a(x,y,z) \ u) / T(u,w). [back_rewrite(189188),rewrite([292656(10)])]. 292796 T(x,y \ (L(z,u,w) * (z \ y))) = x. [back_rewrite(188162),rewrite([292656(8)])]. 292801 L(x,y,L(y,z,u)) * (y \ L(y,z,u)) = y * (L(y \ 1,z,u) * x). [back_rewrite(150537),rewrite([292656(6)]),flip(a)]. 292814 x / (a(y,z,u) \ 1) = (a(y,z,u) \ 1) \ x. [back_rewrite(115079),rewrite([292656(7)])]. 292815 x / (x * (L(y,z,u) \ y)) = ((L(y,z,u) \ y) * x) \ x. [back_rewrite(113377),rewrite([292656(6)])]. 292824 K(x \ L(x,y,z),u) = 1. [back_rewrite(189190),rewrite([292675(4)]),flip(a)]. 292829 K(x,y \ L(y,z,u)) = 1. [back_rewrite(250690),rewrite([292676(4)]),flip(a)]. 292836 ((x \ (a(y,z,u) \ x)) \ w) \ w = x \ (a(y,z,u) \ x). [back_rewrite(129507),rewrite([292700(8)]),flip(a)]. 292847 R(a(x,y,z) \ 1,a(x,y,z),(x * y) * z) = ((x * y) * z) \ (x * (y * z)). [back_rewrite(270774),rewrite([292709(12)])]. 292881 ((x * a(y,z,u)) * w) \ (x * (a(y,z,u) * w)) = a(x,a(y,z,u),w) \ 1. [back_rewrite(236708),rewrite([292709(7)])]. 292899 (((x \ y) * x) * z) \ ((x \ y) * (x * z)) = ((y / x) * (x * z)) / (y * z). [back_rewrite(217030),rewrite([292709(7)])]. 292900 (x * (T(y,x) * z)) / ((y * x) * z) = ((x * y) * z) \ (x * (y * z)). [back_rewrite(217029),rewrite([292709(11)])]. 292909 ((x * y) * a(z,u,w)) \ (x * (y * a(z,u,w))) = a(x,y,a(z,u,w)) \ 1. [back_rewrite(95037),rewrite([292709(7)])]. 292929 R(a(x,y,z) \ 1,a(x,y,z),u) = (a(x,y,z) * u) \ u. [back_rewrite(94682),rewrite([292788(8)])]. 292936 T(x,a(y,z,u) * a(y,z,u)) = x. [back_rewrite(62462),rewrite([292814(8),50(8)]),flip(a)]. 292938 (((x \ L(x,y,z)) * u) * x) / L(x,y,z) = R(u,x \ L(x,y,z),x). [back_rewrite(266771),rewrite([292824(3),49(2)]),flip(a)]. 292939 T(x * L(1 / x,y,z),u) = x * L(1 / x,y,z). [back_rewrite(190501),rewrite([292824(5),49(4)]),flip(a)]. 292963 K(x,y \ (L(z,u,w) * (z \ y))) = 1. [back_rewrite(188168),rewrite([292829(8)])]. 292972 T(x \ L(x,y,z),u) = x \ L(x,y,z). [back_rewrite(70406),rewrite([292829(3),69933(4)])]. 292979 (a(x,y,z) \ 1) * (u * K(w,v5)) = u * (a(x,y,z) \ K(w,v5)). [back_rewrite(277946),rewrite([292936(8)]),flip(a)]. 292991 (L(x,y,z) \ 1) \ (x \ 1) = x \ L(x,y,z). [back_rewrite(277937),rewrite([292972(8)]),flip(a)]. 293004 x / (y \ L(y,z,u)) = (y \ L(y,z,u)) \ x. [back_rewrite(156311),rewrite([292972(6)])]. 293038 (x \ L(x,x,y)) \ y = R(y,x,L(x,x,y)). [back_rewrite(228177),rewrite([293004(3)])]. 293074 T(x,y \ (z * L(z \ y,u,w))) = x. [hyper(295,a,125629,a(flip),b,292656,a),rewrite([125935(6)])]. 293077 x / L(y \ L(y,z,u),w,v5) = L(y \ L(y,z,u),w,v5) \ x. [hyper(295,a,11562,a(flip),b,292656,a),flip(a)]. 293082 K(x * (y \ L(y,z,u)),x) = a(x,y * L(y,z,u),x). [hyper(5083,a,1735,a(flip),b,292656,a(flip)),rewrite([170029(4),64099(3)]),flip(a)]. 293083 R(x \ L(x,y,z),u,x * L(x,y,z)) = x \ L(x,y,z). [hyper(5083,a,292656,a(flip),b,24832,a),rewrite([58(4),292972(3),217243(7)]),flip(a)]. 293086 ((x \ L(x,y,z)) \ u) * (x \ L(x,y,z)) = u. [hyper(270,a,58,a,b,292656,a(flip))]. 293094 T(x,y) * (z \ L(z,u,w)) = (z \ L(z,u,w)) * T(x,y). [para(292656(a,1),845(a,1,2,1)),flip(a)]. 293115 ((x \ L(x,y,z)) * u) \ u = (u * (x \ L(x,y,z))) \ u. [para(292656(a,1),57973(a,1,2)),flip(a)]. 293143 T(x,(y \ z) * (z \ y)) = x. [para(170410(a,2),292656(a,1,2,2)),rewrite([170410(6),150442(5)])]. 293146 (x * (K(y,z) * (u \ L(u,w,v5)))) * v6 = (x * (u \ L(u,w,v5))) * (K(y,z) * v6). [para(292656(a,1),205735(a,1,2)),rewrite([292656(14)])]. 293147 R((x \ L(x,y,z)) \ u,x \ L(x,y,z),x) = (u * x) / L(x,y,z). [para(292656(a,1),210733(a,2,1,2)),rewrite([293004(3)])]. 293168 L(R(x \ L(x,y,z),u,w),v5,x * L(x,y,z)) = R(x \ L(x,y,z),u,w). [back_rewrite(267612),rewrite([293083(5)])]. 293169 L(x \ L(x,y,z),u,x * L(x,y,z)) = x \ L(x,y,z). [back_rewrite(255055),rewrite([293083(5)])]. 293197 (x \ L(x,y,z)) \ (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L((x \ L(x,y,z)) \ 1,u,w). [hyper(5083,a,293077,a,b,149540,a(flip)),rewrite([83146(12),82976(12),293169(12),293004(8),173509(8),293004(13)])]. 293208 K(x,y) * (L(z \ L(z,u,w),v5,v6) \ 1) = L(z \ L(z,u,w),v5,v6) \ K(x,y). [hyper(295,a,75459,a,b,293077,a),rewrite([293077(6)])]. 293230 x / L(L(y,z,u) \ L(L(y,w,v5),z,u),v6,v7) = L(L(y,z,u) \ L(L(y,z,u),w,v5),v6,v7) \ x. [para(64(a,1),293077(a,1,2,1,2))]. 293260 x / (y \ (z * L(z \ y,u,w))) = (y \ (z * L(z \ y,u,w))) \ x. [para(60487(a,1),293077(a,1,2)),rewrite([60487(11)])]. 293513 (T((x \ L(x,y,z)) \ u,w) * (x \ L(x,y,z))) \ u = K(w,x * (L(x,y,z) \ u)). [hyper(7088,a,293086,a(flip),b,8487,a),rewrite([60845(4),162681(3),4813(12),293004(9),64067(11),2598(12),36703(12),158808(10),48180(12),13654(8),4773(10,R),36132(11),27601(7),2739(6)]),flip(a)]. 293587 ((x * L(x,y,z)) \ u) * (x \ L(x,y,z)) = (x * x) \ u. [para(68847(a,1),293086(a,1,1)),rewrite([81670(4)])]. 293639 (a(x,y,z) \ u) / T(u,w) = T(u,w) \ (a(x,y,z) \ u). [hyper(7088,a,292756,a,b,96964,a),rewrite([104972(6),292790(5),292756(10),189225(10),5754(9),9113(9)])]. 293651 T(T(x,y) \ (a(z,u,w) \ x),x) = T(x,y) \ (a(z,u,w) \ x). [hyper(5142,a,292756,a,b,96964,a),rewrite([292756(5),189225(5),9510(5),104859(5),293639(4)])]. 293679 K(x,y) * ((z * (x \ (a(u,w,v5) \ x))) \ v6) = (z * (T(x,y) \ (a(u,w,v5) \ x))) \ v6. [para(292756(a,1),43201(a,1,2,1,2)),rewrite([293639(11)])]. 293691 (x * (y \ (a(z,u,w) \ y))) * (K(v5,y) * v6) = (x * (T(y,v5) \ (a(z,u,w) \ y))) * v6. [para(292756(a,2),105236(a,2,1,2)),rewrite([293639(4),293651(5),292756(9)]),flip(a)]. 293708 K(x,y) * ((x \ (a(z,u,w) \ x)) \ v5) = (T(x,y) \ (a(z,u,w) \ x)) \ v5. [back_rewrite(292781),rewrite([293639(10)])]. 293736 ((1 / (x * y)) / y) * (y * (x * y)) = x * (y * ((x * y) \ 1)). [hyper(5081,a,66988,a,b,292709,a),rewrite([66988(9),22473(7),23194(4),72446(14),72446(13),61746(12)])]. 293740 T(((x * y) * z) \ (x * (y * z)),u) = ((x * y) * z) \ (x * (y * z)). [hyper(5081,a,235,a,b,292709,a),rewrite([12016(11),56(9),292829(8),49(7),292709(11)])]. 293742 ((x * y) * z) \ (y * (T(x,y) * z)) = ((y * x) * z) \ (y * (x * z)). [hyper(295,a,242345,a,b,292709,a),rewrite([410(5),242345(7),292900(6),410(7)]),flip(a)]. 293760 ((x / y) * (y * z)) / (x * z) = (x * z) \ ((x / y) * (y * z)). [para(53(a,1),292709(a,1,2,1)),rewrite([53(7)])]. 293783 (a(x,y,z) * (u * (a(x,y,z) \ w))) \ (u * w) = a(u,a(x,y,z) \ w,a(x,y,z)) \ 1. [para(6592(a,1),292709(a,1,1,2)),rewrite([19228(6),95031(7),19228(11),6592(15)]),flip(a)]. 293794 ((x * a(y,z,u)) * w) \ (x * (w * a(y,z,u))) = a(x,a(y,z,u),w) \ 1. [para(1143(a,1),292709(a,2,2,2)),rewrite([292709(7),292881(7)]),flip(a)]. 293797 (a(x,y,z) * (u * w)) \ (u * (w * a(x,y,z))) = a(u,w,a(x,y,z)) \ 1. [para(1143(a,2),292709(a,2,1)),rewrite([292709(7),292909(7)]),flip(a)]. 293798 ((x * y) * a(z,u,w)) \ (x * (a(z,u,w) * y)) = a(x,y,a(z,u,w)) \ 1. [para(1143(a,2),292709(a,2,2,2)),rewrite([292709(7),292909(7)]),flip(a)]. 293883 T(x * (y * (x * y)),(x * y) * (x * y)) = x * (y * (x * y)). [para(292709(a,2),22655(a,1,1)),rewrite([72446(7),72446(6),61746(5),7(9),7(8),66975(7),53(6),49(3)]),flip(a)]. 293917 (((x \ y) * x) * z) \ ((x \ y) * (x * z)) = (y * z) \ ((y / x) * (x * z)). [back_rewrite(292899),rewrite([293760(12)])]. 293938 T(a(x,y,z) \ 1,u) = a(x,y,z) \ 1. [para(292676(a,1),235(a,1,1,2)),rewrite([49(5)])]. 293941 L(a(x,y,z) \ 1,u,w) * v5 = v5 * L(a(x,y,z) \ 1,u,w). [para(292676(a,1),13542(a,1,1)),rewrite([48(7)])]. 293969 K(x,(y \ z) * (z \ y)) = 1. [para(170410(a,2),292829(a,1,2,2)),rewrite([170410(6),150442(5)])]. 293997 (T(a(x,y,z) * u,w) \ u) \ R(a(x,y,z) \ 1,a(x,y,z),u) = K(a(x,y,z) * u,w). [hyper(7088,a,292929,a,b,8936,a),rewrite([2598(8),50111(7),12024(6),292707(6)]),flip(a)]. 294049 (a(x,y,z) * T(u,w)) \ u = T(u,w) \ (a(x,y,z) \ u). [hyper(5142,a,292929,a,b,95539,a),rewrite([203025(6),9510(7),201843(7),31850(5),269639(5),293639(4)]),flip(a)]. 294067 (T(x,y) \ (a(z,u,w) \ x)) \ R(a(z,u,w) \ 1,a(z,u,w),x) = K(x,y). [hyper(5083,a,292929,a,b,95539,a),rewrite([294049(4),203025(10)])]. 294069 R(a(x,y,z) \ K(u,T(w,v5)),a(x,y,z),v5) = (v5 * a(x,y,z)) \ (K(u,w) * v5). [hyper(5083,a,292929,a,b,41963,a),rewrite([123584(5),27585(4),204274(9),5754(8),1039(2),201268(8),32456(6),15227(11)])]. 294070 R(a(x,y,z) \ K(u,a(x,y,z) * w),a(x,y,z),w) = T(a(x,y,z) * w,u) \ w. [hyper(5083,a,292929,a,b,8936,a),rewrite([5754(9),201268(9),32456(7)])]. 294095 (a(x,y,z) * u) \ u = u \ (a(x,y,z) \ u). [hyper(295,a,107937,a,b,292929,a),rewrite([215709(13),206730(13),270948(12),292756(3)]),flip(a)]. 294144 (x \ (a(y,z,u) \ x)) \ x = a(y,z,u) * x. [para(292929(a,2),160(a,2,2,1)),rewrite([292788(3),294095(3),292701(4),6332(14),292675(12),49(8)])]. 294158 R(a(x,y,z) \ 1,a(x,y,z),u) * w = w * (u \ (a(x,y,z) \ u)). [para(292929(a,1),5593(a,2,2)),rewrite([292676(4),48(8),294095(9)])]. 294195 R(x,a(y,z,u),a(y,z,u)) = L(x,a(y,z,u),a(y,z,u)). [para(292929(a,2),61614(a,1,1,2)),rewrite([397(6),291952(4),49(3),49(4),49(6),49(7),89940(9)]),flip(a)]. 294221 R(a(x,y,z) * u,u \ (a(x,y,z) \ u),u) \ 1 = a(x,y,z) \ (u \ 1). [para(292929(a,2),95525(a,2,1)),rewrite([294095(5),269476(16)])]. 294222 ((x * y) * z) / ((x * y) * R(z,x,y)) = ((x * y) * R(z,x,y)) \ ((x * y) * z). [para(101962(a,1),292929(a,2,1)),rewrite([102500(7)])]. 294242 T(x,y \ ((a(z,u,w) \ 1) \ v5)) = T(x,(y \ v5) * a(z,u,w)). [para(292929(a,2),127165(a,1,2,2,2)),rewrite([397(6),292814(4),49(10)])]. 294282 R(a(x,y,z),a(x,y,z),u) = L(a(x,y,z),a(x,y,z),u). [para(292929(a,2),170410(a,1,1)),rewrite([58(8),547(7),58(9),547(8),280522(9),66975(7),6706(4),65068(6),292676(6),49(3),58(6),547(5),58(7),547(6)])]. 294300 L(x \ (a(y,z,u) \ x),w,v5) * (x * a(y,z,u)) = (a(y,z,u) \ L(a(y,z,u),w,v5)) * x. [para(292929(a,1),205590(a,1,1,1)),rewrite([294095(3),145139(13),6706(11),69933(13),561(13)])]. 294302 (a(x,y,z) \ 1) * u = u * (a(x,y,z) \ 1). [para(292929(a,2),214198(a,2,2)),rewrite([49(3),6706(2),49(5),49(6),294195(5),60426(5),6706(3),397(10)])]. 294304 R(x \ (a(y,z,u) \ x),w,v5) * (a(y,z,u) * x) = (a(y,z,u) \ R(a(y,z,u),w,v5)) * x. [para(292929(a,1),218458(a,1,1,1)),rewrite([294095(3),547(6),547(13),151517(13),6706(11),272385(13)])]. 294325 a(x,y,z) \ (u / (u * (a(x,y,z) \ 1))) = a(a(x,y,z),a(x,y,z),u). [para(292929(a,1),256863(a,1,1)),rewrite([294095(3),292814(7),269858(7),265901(16),46610(12)])]. 294326 a(x,y,z) \ L(a(x,y,z),a(x,y,z),u) = a(a(x,y,z),a(x,y,z),u). [para(292929(a,1),272488(a,1,2)),rewrite([294095(6),269858(7),294325(7),324(8),294282(8),48(9)]),flip(a)]. 294327 a(x,y,z) * (u \ (a(x,y,z) \ u)) = a(a(x,y,z),a(x,y,z),u). [para(292929(a,1),272488(a,2,2,2)),rewrite([324(3),324(4),294282(4),294326(5),294095(8),324(10)]),flip(a)]. 294329 (a(x,y,z) \ u) / (1 / u) = (a(x,y,z) * (u \ 1)) \ u. [para(292929(a,2),277868(a,1,2)),rewrite([217392(7),189168(5),273758(5)])]. 294338 ((x \ (a(y,z,u) \ x)) \ w) * R(a(y,z,u) \ 1,a(y,z,u),x) = w. [para(292929(a,1),288825(a,1,1,1)),rewrite([294095(3),289933(18)])]. 294348 (T(x,y) * a(z,u,w)) \ x = T(x,y) \ (a(z,u,w) \ x). [back_rewrite(25567),rewrite([294049(8)])]. 294375 x / (a(y,z,u) * x) = x \ (a(y,z,u) \ x). [back_rewrite(292788),rewrite([294095(6)])]. 294376 (x * a(y,z,u)) \ x = x \ (a(y,z,u) \ x). [back_rewrite(142924),rewrite([294095(5),189225(5)]),flip(a)]. 294405 R(a(x,y,z) \ 1,a(x,y,z),(y * z) * R(x,y,z)) = ((y * z) * R(x,y,z)) \ ((y * z) * x). [back_rewrite(270821),rewrite([294222(14)])]. 294494 (x \ (a(y,z,u) \ x)) \ T(x,w) = a(y,z,u) * T(x,w). [hyper(5081,a,223843,a,b,294144,a),rewrite([6706(2),225448(6),547(4),189225(8)]),flip(a)]. 294496 (x \ (a(y,z,u) \ x)) \ (a(y,z,u) * x) = a(y,z,u) * (x * a(y,z,u)). [hyper(5081,a,159089,a,b,294144,a),rewrite([6706(7),50(7),20401(7),20401(10),50(10),294095(7),20401(10)]),flip(a)]. 294544 (a(x,y,z) \ 1) \ a(a(u,w,v5),v6,v7) = a(x,y,z) * a(a(u,w,v5),v6,v7). [para(28887(a,1),294144(a,1,1)),rewrite([323(6)])]. 294550 L(a(x,y,z) * u,u \ (a(x,y,z) \ u),u) = (a(x,y,z) \ u) \ (u * u). [para(294144(a,1),60487(a,1,1))]. 294574 T((x \ (a(y,z,u) \ x)) * K(w,v5),a(y,z,u) * x) \ x = a(y,z,u) * (x * K(v5,w)). [para(294144(a,1),120122(a,1,1,2)),rewrite([294144(13),292707(15),7726(13)])]. 294578 T(x \ (x \ (a(y,z,u) \ x)),a(y,z,u) * x) \ 1 = 1 / (x \ (x \ (a(y,z,u) \ x))). [para(294144(a,1),115269(a,1,1,2))]. 294579 T(x,y \ (a(z,u,w) * (y * (y / v5)))) = T(x,y / (a(z,u,w) \ v5)). [para(294144(a,1),121349(a,1,2,1)),rewrite([121314(4),60848(10),60848(10)]),flip(a)]. 294582 T(x \ 1,x \ a(y,z,u)) = x \ 1. [para(294144(a,2),123722(a,1,1)),rewrite([294144(4),274257(4),76328(5)])]. 294597 a(x,y,z) * (L(a(x,y,z),u,w) \ a(x,y,z)) = L(a(x,y,z) \ 1,u,w) \ 1. [para(165661(a,1),294144(a,1,1,2)),rewrite([207088(9),166145(8)]),flip(a)]. 294614 L(x,(y \ (a(z,u,w) \ R(y,v5,y))) \ y,v6) = L(x,y * a(z,u,w),v6). [para(294144(a,1),240176(a,1,2)),rewrite([177230(4),107970(10)]),flip(a)]. 294622 ((x \ a(y,z,u)) \ R(x \ 1,x,a(y,z,u))) \ (x \ a(y,z,u)) = a(y,z,u) * (x \ a(y,z,u)). [para(268789(a,2),294144(a,1,1,2)),rewrite([561(6)])]. 294643 ((x \ T(a(y,z,u) \ x,w)) \ T(x,v5)) \ (a(y,z,u) * T(x,v5)) = K(a(y,z,u) \ x,w). [hyper(7088,a,294494,a(flip),b,99782,a),rewrite([60848(10),2598(10),50111(9),60848(8),171612(7),48180(9),51(5),27586(6),3588(4),6706(2)]),flip(a)]. 294645 (x \ T(a(y,z,u) \ x,w)) \ T(x,v5) = a(y,z,u) * (K(w,a(y,z,u) \ x) * T(x,v5)). [hyper(5083,a,294494,a(flip),b,99782,a),rewrite([5754(7),38488(7),6706(3)]),flip(a)]. 294699 T(a(x,y,z) * T(u,w),u \ (T(u,w) \ (a(x,y,z) \ u))) \ 1 = 1 / (a(x,y,z) * T(u,w)). [para(294494(a,1),115269(a,1,1,1)),rewrite([96177(8),294494(17)])]. 294925 x / L(a(y,z,u) \ 1,w,v5) = L(a(y,z,u) \ 1,w,v5) \ x. [hyper(5083,a,118328,a(flip),b,294302,a),rewrite([162882(12),67715(9),173671(7)]),flip(a)]. 294958 (x \ (a(y,z,u) \ 1)) * ((1 / x) \ x) = (x \ 1) \ (a(y,z,u) \ 1). [hyper(5083,a,294302,a,b,66480,a(flip)),rewrite([111788(8)])]. 294987 (a(x,y,z) \ 1) * R(u \ 1,u,a(x,y,z)) = u \ (a(x,y,z) \ 1). [hyper(5081,a,268782,a(flip),b,294302,a),rewrite([206104(13)]),flip(a)]. 295010 a(a(x,y,z),u,w) * (v5 * (a(v6,v7,v8) \ 1)) = (a(v6,v7,v8) \ a(a(x,y,z),u,w)) * v5. [hyper(5081,a,7727,a(flip),b,294302,a),rewrite([70097(14)])]. 295011 K(x,y) * (z * (a(u,w,v5) \ 1)) = (a(u,w,v5) \ K(x,y)) * z. [hyper(5081,a,7724,a(flip),b,294302,a),rewrite([31945(12)])]. 295014 (a(x,y,z) \ 1) * (u * (w * w)) = u * (a(x,y,z) \ (w * w)). [hyper(5081,a,6,a(flip),b,294302,a),rewrite([189168(5)]),flip(a)]. 295015 (x * x) * (y * (a(z,u,w) \ 1)) = (a(z,u,w) \ (x * x)) * y. [hyper(5081,a,5,a(flip),b,294302,a),rewrite([57375(12)])]. 295017 (a(x,y,z) \ (u * u)) * (1 / w) = (a(x,y,z) \ 1) * ((u * u) / w). [hyper(5081,a,294302,a,b,180359,a),rewrite([295015(14)]),flip(a)]. 295019 a(x,y,z) \ K(u,T(w,v5)) = T(a(x,y,z) \ K(u,w),v5). [hyper(5081,a,294302,a,b,24790,a),rewrite([31850(6),295011(10),58(9)])]. 295021 (a(x,y,z) \ 1) * (u * (w * a(a(v5,v6,v7),v8,v9))) = (a(x,y,z) \ a(a(v5,v6,v7),v8,v9)) * (u * w). [hyper(5081,a,294302,a,b,20189,a(flip)),rewrite([295010(16)])]. 295024 R((a(x,y,z) \ 1) \ u,a(x,y,z),w) \ (w * u) = T(w,u) * (a(x,y,z) \ 1). [hyper(295,a,223843,a,b,294302,a),rewrite([292814(4),206751(8)])]. 295025 ((x * (a(y,z,u) \ 1)) \ w) * (a(y,z,u) \ 1) = (a(y,z,u) \ 1) * (((a(y,z,u) \ 1) * x) \ w). [hyper(295,a,221277,a,b,294302,a),rewrite([293938(4)]),flip(a)]. 295027 (L(a(x,y,z) \ 1,u,w) \ v5) * (a(x,y,z) \ 1) = a(x,y,z) * (L(a(x,y,z),u,w) \ v5). [hyper(295,a,162681,a,b,294302,a),rewrite([162681(9),162882(9)]),flip(a)]. 295028 (L(a(x,y,z),u,w) * v5) * (a(x,y,z) \ 1) = a(x,y,z) * (L(a(x,y,z) \ 1,u,w) * v5). [hyper(295,a,159652,a,b,294302,a),rewrite([158007(9),26414(12),28083(10),159652(8),6743(12)]),flip(a)]. 295034 (a(x,y,z) \ 1) * (((a(x,y,z) \ 1) * u) \ w) = a(x,y,z) * ((u * a(x,y,z)) \ w). [hyper(295,a,79956,a,b,294302,a),rewrite([60848(9),324(8),293938(7),222572(9),292814(10),28083(14),28109(12),295025(14)]),flip(a)]. 295036 (a(x,y,z) \ u) * (a(x,y,z) \ 1) = (a(x,y,z) * a(x,y,z)) \ u. [hyper(295,a,66480,a,b,294302,a),rewrite([337(5),66988(6),6743(9)]),flip(a)]. 295044 (R(a(x,y,z),u,w) * (a(x,y,z) \ v5)) * (a(x,y,z) \ 1) = R(a(x,y,z) \ 1,u,w) * v5. [hyper(295,a,62761,a(flip),b,294302,a),rewrite([275510(14)]),flip(a)]. 295046 T(x * (a(y,z,u) \ 1),x) = x * (a(y,z,u) \ 1). [hyper(295,a,24832,a(flip),b,294302,a),rewrite([206751(9),114653(7)])]. 295047 (x * T(y,a(z,u,w) \ x)) * (a(z,u,w) \ 1) = L(y,x,a(z,u,w)) * ((a(z,u,w) \ 1) * x). [hyper(295,a,11786,a(flip),b,294302,a),rewrite([26414(4),92038(12)]),flip(a)]. 295050 T((a(x,y,z) \ 1) \ u,w) * (a(x,y,z) \ 1) = a(x,y,z) \ T(a(x,y,z) * u,w). [hyper(295,a,219,a(flip),b,294302,a),flip(a)]. 295055 x / (a(y,z,u) * a(y,z,u)) = (a(y,z,u) * a(y,z,u)) \ x. [hyper(266,a,68332,a(flip),b,294302,a),rewrite([226911(6),62184(10)])]. 295060 ((a(x,y,z) \ 1) \ u) * L(a(x,y,z) \ 1,w,v5) = L(a(x,y,z),w,v5) * (a(x,y,z) \ u). [hyper(7088,a,158113,a(flip),b,294302,a(flip)),rewrite([158007(9),291952(9),158527(14),292814(9)]),flip(a)]. 295105 ((a(x,y,z) * a(x,y,z)) \ u) * w = u * ((a(x,y,z) * a(x,y,z)) \ w). [para(294302(a,1),6(a,1,1,2)),rewrite([62160(7),6706(4),71999(6),295055(4),62160(12),6706(9),66988(11)])]. 295132 (x * y) * R(a(z,u,w) \ 1,x,y) = ((a(z,u,w) \ 1) * x) * y. [para(294302(a,1),7687(a,1,2)),rewrite([46610(4),102425(8)])]. 295153 x * (T(y,a(z,u,w) \ x) * (a(z,u,w) \ 1)) = L(y,a(z,u,w),x) * (x * (a(z,u,w) \ 1)). [para(294302(a,1),11786(a,1,2)),rewrite([123794(5),6706(2),28083(12)])]. 295154 x * ((a(y,z,u) \ 1) * T(w,a(y,z,u) \ x)) = L(w,a(y,z,u),x) * (x * (a(y,z,u) \ 1)). [para(294302(a,2),11786(a,1,2,2,2)),rewrite([92038(8),28083(12)])]. 295158 (L(x,a(y,z,u),w) * (w * (a(y,z,u) \ 1))) \ (x * (w * (a(y,z,u) \ 1))) = a(w,a(y,z,u),x). [para(294302(a,2),18461(a,1,1,2,1,2)),rewrite([92038(5),295153(8),291952(11),50864(17)])]. 295168 (x * ((a(y,z,u) * a(y,z,u)) \ w)) * v5 = (x * w) * ((a(y,z,u) * a(y,z,u)) \ v5). [para(294302(a,1),315(a,1,1,2,2)),rewrite([62160(7),6706(4),71999(6),295055(4),62160(14),6706(11),66988(13)])]. 295170 (x * ((a(y,z,u) * a(y,z,u)) \ w)) \ v5 = (a(y,z,u) * a(y,z,u)) * ((x * w) \ v5). [para(294302(a,1),11968(a,1,1,2,2)),rewrite([62160(7),6706(4),71999(6),295055(4),62160(13),6706(10),67094(14)])]. 295207 K(x,y \ (a(z,u,w) * v5)) = K(x,a(z,u,w) * (y \ v5)). [para(294302(a,1),12016(a,1,2,1)),rewrite([12016(6),60845(6),324(5),291107(10)]),flip(a)]. 295258 (x \ 1) \ ((a(y,z,u) \ 1) * x) = a(y,z,u) \ (x * x). [para(294302(a,2),67715(a,1,2)),rewrite([189168(12)])]. 295268 L(((a(x,y,z) \ 1) \ u) / w,w,a(x,y,z)) = (w * ((w * (a(x,y,z) \ 1)) \ u)) / w. [para(294302(a,1),79608(a,2,1,2,1)),rewrite([26414(9)])]. 295293 R(x,a(y,z,u),w) * (w * (a(y,z,u) \ 1)) = (x * (a(y,z,u) \ 1)) * w. [para(294302(a,1),401(a,1,2)),rewrite([206751(4)])]. 295318 (x \ 1) * ((a(y,z,u) \ 1) * ((x \ 1) \ w)) = x * ((x \ w) * (a(y,z,u) \ 1)). [para(294302(a,2),134854(a,1,2))]. 295327 ((a(x,y,z) \ 1) * u) \ (u * (w * (a(x,y,z) \ 1))) = L(w,a(x,y,z),u). [para(294302(a,1),143267(a,1,2,2)),rewrite([292676(14),48(12),28083(14)])]. 295328 (x * y) \ (y * ((a(z,u,w) \ 1) * x)) = L(a(z,u,w) \ K(y,x),x,y). [para(294302(a,2),143267(a,1,2,2)),rewrite([32456(12)])]. 295348 (x \ ((a(y,z,u) \ 1) * w)) * K(v5,v6) = x \ (w * (a(y,z,u) \ K(v5,v6))). [para(294302(a,1),60873(a,1,2)),rewrite([7725(6),32456(5)]),flip(a)]. 295352 x \ L((a(y,z,u) \ 1) * x,w,v5) = x * L(x \ (a(y,z,u) \ 1),w,v5). [para(294302(a,2),69930(a,1,2,1))]. 295356 x / (y * (a(z,u,w) * a(z,u,w))) = (a(z,u,w) * a(z,u,w)) \ (x / y). [para(294302(a,1),179795(a,1,1,2)),rewrite([62160(7),6706(4),71999(6),295055(4),231306(5),62160(12),6706(9),67315(11)]),flip(a)]. 295357 ((a(x,y,z) \ 1) \ u) * K(w,v5) = u / (a(x,y,z) \ K(v5,w)). [para(294302(a,1),178504(a,1,1,2)),rewrite([32456(5),291952(8)]),flip(a)]. 295370 ((a(x,y,z) \ 1) * u) * (a(x,y,z) * w) = (u * a(x,y,z)) * ((a(x,y,z) \ 1) * w). [para(294302(a,2),190596(a,2,1)),rewrite([337(5),6743(16)]),flip(a)]. 295380 ((a(x,y,z) \ 1) * u) \ (w * (a(x,y,z) \ 1)) = (a(x,y,z) * u) \ (a(x,y,z) * w). [para(294302(a,1),52451(a,2,2)),rewrite([293938(4),293938(8),197121(9)]),flip(a)]. 295383 ((a(x,y,z) \ a(u,w,a(v5,v6,v7))) * v8) \ v9 = (v8 * (a(x,y,z) \ a(u,w,a(v5,v6,v7)))) \ v9. [para(294302(a,1),12009(a,1,1)),rewrite([7729(7),13037(7),197500(14)]),flip(a)]. 295424 x \ ((a(y,z,u) * a(y,z,u)) * w) = (a(y,z,u) * a(y,z,u)) * (x \ w). [para(294302(a,1),20865(a,1,1,2)),rewrite([62160(7),6706(4),71999(6),295055(4),23536(5),62160(12),6706(9),67094(12)])]. 295461 a(x,y,((a(z,u,w) \ 1) * v5) \ v6) = a(x,y,(v5 * a(z,u,w)) \ v6). [para(294302(a,1),252817(a,1,3,1)),rewrite([277818(7),52483(5)]),flip(a)]. 295469 R(a(x,y,z) \ 1,u,u) = L(a(x,y,z) \ 1,u,u). [para(294302(a,2),278051(a,2,1)),rewrite([295046(7),22934(7),191612(11)]),flip(a)]. 295490 (x * a(y,z,u)) \ (K(w,v5) * x) = x \ (K(w,v5) * (a(y,z,u) \ x)). [back_rewrite(294069),rewrite([295019(4),268897(6),15121(4)]),flip(a)]. 295500 T(a(x,y,z) \ K(u,w),v5) \ v5 = v5 / (a(x,y,z) \ K(u,w)). [back_rewrite(82441),rewrite([295019(4),295357(11)])]. 295526 K(x,y / ((z \ (a(u,w,v5) \ z)) * v6)) = K(x,a(u,w,v5) * (y / v6)). [back_rewrite(129521),rewrite([295207(12),50(10)])]. 295527 K(x,a(y,z,u) * (w \ (w / v5))) = K(x,v5 \ a(y,z,u)). [back_rewrite(123322),rewrite([295207(5)])]. 295725 T(x,T(((y \ z) \ a(u,w,v5)) * v6,y * z)) = T(x,v6 * ((y \ z) \ a(u,w,v5))). [para(294242(a,2),115799(a,1,2)),rewrite([294242(10),225004(9),36711(7)])]. 295754 T(x,(y \ L(z,a(u,w,v5),a(u,w,v5))) * a(u,w,v5)) = T(x,y \ (a(u,w,v5) * z)). [para(28098(a,1),294242(a,1,2,2)),rewrite([6743(5),26414(11),28083(9)]),flip(a)]. 295873 x * (L(x \ 1,y,z) * L(x \ 1,y,z)) = L(1 / x,y,z) * (x \ L(x,y,z)). [hyper(5081,a,210819,a,b,292801,a),rewrite([69933(4),256470(7),256539(8),194981(13)])]. 295881 T((x \ L(x,y,z)) \ u,w) * (x \ L(x,y,z)) = L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)). [hyper(5081,a,255,a,b,292801,a),rewrite([69933(4),69933(6),64067(7),160951(15)]),flip(a)]. 295882 (T(x,y) * y) \ L(x * y,z,u) = (x * y) \ L(y * x,z,u). [hyper(5081,a,9670,a(flip),b,292801,a),rewrite([562(8),161173(8),5678(9),21004(10)]),flip(a)]. 295963 L(x,y \ z,z \ y) * ((y \ z) * (z \ y)) = (y \ z) * ((z \ y) * x). [para(60487(a,1),292801(a,2,2,1)),rewrite([84933(5),150442(8),49(10)])]. 296002 (x \ y) * (L(y \ 1,z,u) * L(y \ 1,z,u)) = x \ (L(1 / y,z,u) * (y \ L(y,z,u))). [para(292801(a,2),70971(a,1,2)),rewrite([194981(5)]),flip(a)]. 296025 (x \ L(x,y,z)) / (L(1 / x,y,z) \ 1) = L(1 / x,y,z) * (x \ L(x,y,z)). [back_rewrite(256539),rewrite([295873(16)])]. 296032 (L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w))) \ u = K(w,x * (L(x,y,z) \ u)). [back_rewrite(293513),rewrite([295881(7)])]. 296035 (x * y) * L((y * x) \ 1,z,u) = (y * x) \ L(x * y,z,u). [back_rewrite(150368),rewrite([295882(5)]),flip(a)]. 296121 (x * y) / L(T(x,y),z,u) = (y * x) / L(x,z,u). [para(410(a,1),293147(a,2,1)),rewrite([64035(4),64035(7),203025(7),293147(6)]),flip(a)]. 296181 (((x \ L(x,y,z)) \ 1) * x) / L(x,y,z) = (x \ L(x,y,z)) \ ((x \ L(x,y,z)) \ 1). [para(62160(a,2),293147(a,1,1)),rewrite([62160(9),293004(6),67236(10),293004(11)]),flip(a)]. 296234 R(((x \ y) * (y \ x)) \ z,(x \ y) * (y \ x),x \ y) = (z * (x \ y)) / L(x \ y,x \ y,x). [para(170410(a,2),293147(a,1,1,1,2)),rewrite([170410(6),150442(5),150442(9)])]. 296235 ((x \ L(x,y,z)) \ 1) * (L(x,y,z) \ x) = (x \ L(x,y,z)) \ (L(x,y,z) \ x). [para(293147(a,1),173697(a,1,2)),rewrite([48(6),91483(6),293004(13),293147(16),48(11),91483(11)])]. 296263 (x * R(y,z,y)) / y = (x * y) / L(y,z,y). [para(101893(a,1),293147(a,1,1,1,2)),rewrite([255347(2),101893(6),255347(5),204284(7),293147(6),101893(7)]),flip(a)]. 296268 (x \ L(x,y,z)) \ x = (L(x,y,z) \ x) * x. [para(293147(a,1),268782(a,1,1)),rewrite([48(2),91483(2)]),flip(a)]. 296538 x / L(1 / x,y,z) = L(x \ 1,y,z) \ x. [para(413(a,1),296121(a,1,2,1)),rewrite([179795(5),25949(4),212448(3),948(1),231281(8),91483(7),173671(8)])]. 296573 ((x * y) / L(y,z,u)) * T(y,x) = T(y,x) * (L(y,z,u) \ (x * y)). [para(296121(a,1),118328(a,1,1)),rewrite([162919(10),162930(10)])]. 296598 1 / L(L(x,x,x),y,z) = L(x,y,z) \ 1. [para(80774(a,1),296121(a,1,2,1)),rewrite([51(3),65068(7),65059(9)])]. 296678 x \ T(y \ x,y \ (y \ 1)) = x / (x * y). [para(233940(a,1),296121(a,1,1)),rewrite([202807(6),12024(6),323(4),112412(6),49(5),24092(5),280811(5),132390(4),95004(3),236970(3),410(2),270724(6),322(8),172565(8),172565(7),172606(7)]),flip(a)]. 296690 (R(x,y,x) * z) / T(x,z) = (z * x) / L(x,y,x). [para(101893(a,1),296121(a,2,2)),rewrite([61(4),254100(5),296263(7)])]. 296749 T(x * (y * ((x * y) \ 1)),z) = x * (y * ((x * y) \ 1)). [hyper(5081,a,138006,a,b,293740,a),rewrite([138006(11),57550(9),133158(9),159345(8),63806(6),70455(4),57550(14),133158(14),159345(13),63806(11),70455(9)]),flip(a)]. 296780 (x * (y * ((x * y) \ 1))) * (x * y) = (x * (y * (x * y))) * (1 / (x * y)). [para(293740(a,2),50481(a,2,1)),rewrite([293883(7),22473(14),23194(11),293736(14),296749(13)]),flip(a)]. 296824 L(a(x,y,z) \ 1,u,w) * (w * u) = w * (u * (a(x,y,z) \ 1)). [para(293938(a,1),11786(a,1,2,2)),flip(a)]. 296825 (x * ((a(y,z,u) \ 1) * w)) \ ((a(y,z,u) \ 1) * (x * w)) = a(x,w,a(y,z,u)). [para(293938(a,1),18461(a,1,1,2,1)),rewrite([293938(9),72770(15)])]. 296826 L(x \ a(y,z,u),x,a(y,z,u)) = ((a(y,z,u) \ 1) * x) \ 1. [para(293938(a,2),26452(a,1,3)),rewrite([293938(6),26414(6),6706(7)])]. 296840 (a(x,y,z) \ 1) \ (u * L(a(x,y,z) \ 1,w,v5)) = L(a(x,y,z),w,v5) * (a(x,y,z) \ u). [para(293938(a,1),160170(a,1,1,2)),rewrite([292814(4),295060(9)]),flip(a)]. 296849 (a(x,y,z) \ 1) * (u * (w * a(x,y,z))) = a(x,y,z) * (u * (w * (a(x,y,z) \ 1))). [back_rewrite(189646),rewrite([296824(7)]),flip(a)]. 296872 K(x,y) * ((z \ (a(u,w,v5) \ z)) * (y \ v6)) = (T(y,x) \ v6) * (z \ (a(u,w,v5) \ z)). [para(292700(a,1),47565(a,1,2)),flip(a)]. 296874 (x \ (a(y,z,u) \ x)) * ((w * w) * v5) = (w * w) * ((x \ (a(y,z,u) \ x)) * v5). [para(292700(a,1),56946(a,1,2,1)),rewrite([292700(10)]),flip(a)]. 296913 L(x,y,z) * L(L(x,y,z) \ K(u,x),w,v5) = L(T(x,u),y,z) \ L(L(x,y,z),w,v5). [hyper(5142,a,292972,a(flip),b,19895,a),rewrite([9510(6),70411(6)])]. 296915 T(L(x,y,z) \ L(L(x,u,w),y,z),v5) = L(x,y,z) \ L(L(x,y,z),u,w). [para(64(a,1),292972(a,1,1,2))]. 296921 L(x \ L(x,y,z),u,w) * (w * u) = w * (u * (x \ L(x,y,z))). [para(292972(a,1),11786(a,1,2,2)),flip(a)]. 296959 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [para(170410(a,2),292972(a,1,1,2)),rewrite([170410(6),150442(5),150442(9)])]. 296961 ((x \ L(x,y,z)) * u) * ((x \ L(x,y,z)) \ 1) = R(u,x * L(x,y,z),x * L(x,y,z)). [para(292972(a,1),202072(a,1,2)),rewrite([293004(4),73648(8),293004(7),89886(8),217243(5),262055(5)]),flip(a)]. 296966 R(x,y,L(z,u,w) \ L(L(z,v5,v6),u,w)) = R(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)). [para(292972(a,2),216879(a,1,3)),rewrite([64228(6),296915(5),217243(5),217167(11)]),flip(a)]. 296982 R(x,y,L(z,u,w) \ L(L(T(z,v5),u,w),v6,v7)) = R(x,y,L(z,u,w) * L(L(z,u,w),v6,v7)). [back_rewrite(217167),rewrite([296966(11)])]. 297099 x / L(R(a(y,z,u) \ 1,w,v5),v6,v7) = L(R(a(y,z,u) \ 1,w,v5),v6,v7) \ x. [para(294925(a,2),289990(a,1,2,1,2)),rewrite([294925(9),60(10),293938(9),63(5),63(11)])]. 297130 ((x \ (a(y,z,u) \ x)) \ w) \ (K(v5,v6) * w) = K(v5,T(v6,w)) * (x \ (a(y,z,u) \ x)). [hyper(5083,a,292836,a(flip),b,41963,a),rewrite([129446(6),11492(7),60848(5),60848(5),27834(6),26920(6),27585(4),5754(6),1039(2),129446(12),11961(13)]),flip(a)]. 297132 T((x \ (a(y,z,u) \ x)) \ w,v5) \ w = K(v5,a(y,z,u) * w) * (x \ (a(y,z,u) \ x)). [hyper(5083,a,292836,a(flip),b,8936,a),rewrite([60842(5),60842(5),5754(9),295207(5),50(3)]),flip(a)]. 297147 L(x \ (a(y,z,u) \ x),x \ (a(y,z,u) \ x),w) \ w = w * ((x \ (a(y,z,u) \ x)) \ 1). [para(292836(a,1),59166(a,1,1,1)),rewrite([28083(9),292836(21),292707(18)])]. 297184 R(x \ (a(y,z,u) \ x),x \ (a(y,z,u) \ x),w) = (((x \ (a(y,z,u) \ x)) \ 1) \ w) / w. [para(292836(a,1),269130(a,1,1)),rewrite([206751(9)])]. 297207 ((1 / x) \ R(x,y,z)) \ ((x * R(x,y,z)) * x) = L(x,x,x). [hyper(7088,a,287508,a,b,81065,a),rewrite([287528(5),92240(4),413(2),11009(7)]),flip(a)]. 297293 (x * R(x,y,z)) * x = R((x * x) * x,y,z). [hyper(5081,a,81194,a,b,287508,a),rewrite([174008(5),158808(4),217457(4),11009(5)]),flip(a)]. 297369 T(R(x,y,z) * u,x) \ ((x * u) * R(x,y,z)) = T(x,R(x,y,z) * u). [hyper(7088,a,287508,a(flip),b,410,a),rewrite([196(4)]),flip(a)]. 297485 T(R(x,y,z) * u,w) \ ((x * u) * R(x,y,z)) = x * K(w,u * x). [hyper(5083,a,287508,a(flip),b,7760,a),rewrite([288433(10),40223(10)])]. 297487 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [hyper(5083,a,287508,a(flip),b,7452,a),rewrite([6332(2),5754(5),7452(5)]),flip(a)]. 297511 (x * (R(x,y,z) \ u)) * R(x,y,z) = u * x. [para(51(a,1),287508(a,1,1)),flip(a)]. 297515 K(R(x,y,z) * u,x) = K(x * u,x). [para(287508(a,1),55(a,1,2)),rewrite([63354(7)]),flip(a)]. 297569 (a(x,y,z) * u) * R(u,w,v5) = u * (R(u,w,v5) * a(x,y,z)). [para(1143(a,2),287508(a,1,1)),rewrite([297487(4),256967(8)])]. 297680 T(x,(y * z) * R(y,u,w)) = T(x,y * (z * y)). [para(287508(a,2),92240(a,2,2)),rewrite([287528(6),92240(5),212050(3),287508(6)]),flip(a)]. 297700 a(x,R(x,y,z),u) * ((x * u) * R(x,y,z)) = (R(x,y,z) * u) * R(x,L(x,y,z),u). [para(287508(a,1),101962(a,1,2)),rewrite([215709(10)])]. 297701 (R(x,y,z) * u) * R(x,L(x,y,z),u) = (x * u) * R(R(x,y,z),x,u). [para(287508(a,2),101962(a,1,2)),rewrite([63215(2),287508(5),297700(6)])]. 297722 T(x,T(R(y,z,u) \ w,y * v5)) = T(x,T(w / R(y,z,u),v5)). [para(287508(a,2),121523(a,1,2,2)),rewrite([287508(5),297680(6),27740(6)]),flip(a)]. 297741 a(x,y,(z * u) * R(z,w,v5)) = a(x,y,z * (u * R(z,w,v5))). [para(287508(a,1),136137(a,1,3))]. 297871 T(x,x * R(x,y,z)) = L(x,x,x). [back_rewrite(297207),rewrite([297293(7),280525(8)])]. 297880 T(x,R(x,y,z) * u) = T(x,x * u). [back_rewrite(297369),rewrite([297485(7),36595(2),149(3)]),flip(a)]. 297884 R(x,y,R(y \ 1,z,u)) = R(x,L(y,z,u),y). [back_rewrite(216017),rewrite([297487(7),206943(12)])]. 297886 a(x,R(y,z,u),y) = a(x,y,R(y,z,u)). [back_rewrite(19512),rewrite([297487(3),7337(7)]),flip(a)]. 297892 K(x * R(y,z,u),y) = K(y * x,y). [back_rewrite(260777),rewrite([297515(3)]),flip(a)]. 297923 L(R(x,y,z),x,L(x,y,z)) = L(R(x,y,z),x,x). [back_rewrite(209748),rewrite([297871(3),63(2)]),flip(a)]. 297955 (R(x,y,z) * u) / T(x,u) = R(x,y,z) * (x \ u). [back_rewrite(63006),rewrite([297880(6),51(4)])]. 297976 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [back_rewrite(201973),rewrite([297892(3),1735(4)]),flip(a)]. 297996 (x * y) / L(y,z,y) = R(y,z,y) * (y \ x). [back_rewrite(296690),rewrite([297955(4)]),flip(a)]. 298052 T(x * (R(x,y,z) \ u),x) = R(x,y,z) \ (u * x). [hyper(18642,a,297511,a),rewrite([6492(5)])]. 298203 (x * y) / R(y,z,u) = y * (R(y,z,u) \ x). [hyper(5358,a,297511,a)]. 298213 (x * L(y,z,u)) / L(R(y,w,v5),z,u) = L(y,z,u) * (L(R(y,w,v5),z,u) \ x). [hyper(5142,a,13542,a,b,297511,a),rewrite([13542(4),63(4),63(8)])]. 298355 T(x,y) * (R(T(x,y),z,u) \ T(y,w)) = K(y,w) * (R(x,z,u) \ (x * y)). [hyper(5142,a,8513,a(flip),b,297511,a),rewrite([231272(6),290757(5)]),flip(a)]. 298380 (x * a(y,z,u)) / R(x,w,v5) = x * (R(x,w,v5) \ a(y,z,u)). [hyper(5142,a,1143,a(flip),b,297511,a)]. 298396 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(5142,a,48,a(flip),b,297511,a),rewrite([287722(2)]),flip(a)]. 298520 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [hyper(5083,a,8513,a(flip),b,297511,a),rewrite([298355(6),11961(9),5784(8)])]. 298655 (x * y) / R(K(z,x) * y,u,w) = T(y * (R(y,u,w) \ x),z). [hyper(5142,a,297511,a(flip),b,7760,a),rewrite([291192(5),51(3),201268(4)])]. 298743 (R(x,y,z) \ 1) * x = x * (1 / R(x,y,z)). [para(67007(a,2),297511(a,1,1,2)),rewrite([67007(5),71999(6),72092(6),22924(5)]),flip(a)]. 298776 (x * y) * (R(T(x,x * (R(x,z,u) \ y)),z,u) \ w) = (y * x) * (R(x,z,u) \ w). [para(297511(a,1),112220(a,2,1)),rewrite([63041(5),51(4),61(6)])]. 298825 L(x,y,y) * R(y,y,x) = x * y. [para(206986(a,1),297511(a,1,1,2)),rewrite([61613(4)])]. 298867 R(a(x,y,y) \ z,a(x,y,y),x) = x * (R(x,y,y) \ z). [back_rewrite(210863),rewrite([298203(7)])]. 299143 (x * x) * T(y,x * (x / z)) = T(y,z \ 1) * (x * x). [para(23218(a,1),33584(a,2,1)),rewrite([75013(6),122744(4)])]. 299374 ((T(x,y * y) * z) \ x) * (z * z) = (T(x,y * y) * (1 / z)) \ x. [back_rewrite(72359),rewrite([299143(7),67007(4),70971(8),72103(6)])]. 299760 T((L(x,y,z) \ x) * u,K(u,w) * v5) = T(u * (L(x,y,z) \ x),v5). [hyper(7088,a,91529,a(flip),b,10133,a),rewrite([11961(14),46038(13),58(11)])]. 300968 (x * (L(x,y,z) \ u)) * (x \ 1) = R(u / L(x,y,z),x,x). [para(118328(a,1),89886(a,1,1))]. 301319 a(a(x,y,z),u,w) * R(v5,v6,v7) = R(v5 * a(a(x,y,z),u,w),v6,v7). [hyper(5083,a,20189,a(flip),b,102241,a(flip)),rewrite([20246(9),102241(7),112586(8),50(7)])]. 301320 a(x,y,z) * (K(u,w) * a(a(x,y,z),v5,v6)) = R(K(u,w) * a(x,y,z),v5,v6). [hyper(5083,a,15112,a(flip),b,102241,a(flip)),rewrite([12077(9),22379(9),50(10)])]. 301334 x * a(x,y,x) = R(x,y,x). [hyper(5083,a,102241,a(flip),b,7750,a(flip)),rewrite([84431(4),97102(5)]),flip(a)]. 301335 x * a(x,y,a(z,u,w)) = R(x,y,a(z,u,w)). [hyper(5083,a,102241,a(flip),b,7735,a(flip)),rewrite([50(8)]),flip(a)]. 301336 x * a(x,a(y,z,u),w) = R(x,a(y,z,u),w). [hyper(5083,a,102241,a(flip),b,7734,a(flip)),rewrite([50(8)]),flip(a)]. 301337 a(x,y,z) * a(a(x,y,z),u,w) = R(a(x,y,z),u,w). [hyper(5083,a,102241,a(flip),b,7733,a(flip)),rewrite([102120(5),6713(5),547(3)]),flip(a)]. 301373 L(x,y,a(z,u,w) * (v5 * v6)) = L(x,y,v6 * (v5 * a(z,u,w))). [para(102241(a,1),13059(a,1,3)),rewrite([104086(6),13063(4),83339(8)]),flip(a)]. 301492 T(x,T(y * (z * u),u)) = T(x,(u * y) * z). [para(102241(a,2),92240(a,2,2)),rewrite([287528(6),92240(5),102241(7),128457(7)]),flip(a)]. 301517 ((x * y) * R(z,x,y)) \ L((x * y) * z,a(z,x,y),a(z,x,y)) = a(z,x,y) \ 1. [para(102241(a,1),123722(a,1,1)),rewrite([294195(8)])]. 301520 T(x,T((y * z) * u,y)) = T(x,(z * u) * y). [para(102241(a,2),4758(a,2,2)),rewrite([401(3),6492(4),102241(8),128457(8),301492(8)])]. 301648 (a(x,y,z) \ a(a(x,y,z),u,w)) * (u * w) = ((a(x,y,z) \ 1) * u) * w. [para(294302(a,2),102241(a,1,1)),rewrite([46610(9),7733(8),7733(7),295021(8),295132(12)])]. 301664 x * (R(y,z,u) * a(a(w,v5,v6),v7,v8)) = x * R(y * a(a(w,v5,v6),v7,v8),z,u). [back_rewrite(22338),rewrite([301319(9)])]. 301666 R(x,y \ R(y,z,u),x) = R(x,y * R(y,z,u),x). [back_rewrite(259252),rewrite([301334(4)]),flip(a)]. 301699 T(x,(L(T(y,z * u),w,v5) * z) * u) = T(x,z * (u * L(y,w,v5))). [back_rewrite(126941),rewrite([301520(7)])]. 301704 T(x,L(y,z,u) * (u * z)) = T(x,(y * u) * z). [back_rewrite(126834),rewrite([301520(8)])]. 301724 (x \ R(x,y,z)) * a(a(u,w,v5),v6,v7) = x * R(x \ a(a(u,w,v5),v6,v7),y,z). [back_rewrite(273527),rewrite([301664(7),66271(5)]),flip(a)]. 301732 R(x,y * R(y,z,u),x) * (y \ R(y,z,u)) = T(x * (y \ R(y,z,u)),x). [back_rewrite(272311),rewrite([301666(3)])]. 301877 ((x * (y * (a(z,u,a(w,v5,v6)) \ (v7 \ (1 / v7))))) \ (x * y)) * (v7 \ (1 / v7)) = a(z,u,a(w,v5,v6)). [hyper(7088,a,65899,a,b,9304,a),rewrite([172459(9),19395(9),547(11),172459(9),19395(9),65899(15),171670(16)]),flip(a)]. 302204 R(x,y,z) \ (x * R(1 / x,y,z)) = 1 / x. [hyper(5083,a,65899,a,b,62761,a(flip)),rewrite([65899(7),282909(6),51(5)])]. 302488 a(x,y,z) * (u * ((a(x,y,z) * a(x,y,z)) \ w)) = (u * w) * (a(x,y,z) \ 1). [para(65899(a,1),19228(a,1,1)),rewrite([6706(4),71999(6),295055(4),295168(7),22924(6),6706(4),6706(11),71999(13),295055(11),22473(11),295105(11)]),flip(a)]. 302518 (x * y) * (z \ (a(a(u,w,v5),v6,v7) / z)) = x * (y * (z \ (a(a(u,w,v5),v6,v7) / z))). [para(65899(a,1),7733(a,1,1)),rewrite([7733(8),7733(7),68101(6),192801(6),68101(13),192801(13)]),flip(a)]. 302519 (x * (y * (z \ (a(a(u,w,v5),v6,v7) / z)))) \ v8 = z * ((z \ a(a(u,w,v5),v6,v7)) \ ((x * y) \ v8)). [para(65899(a,1),28791(a,2,2,1)),rewrite([68101(7),192801(7),302518(6),65991(15),28851(16),275846(15)])]. 303197 (x * L(y,z,u)) / L((w * w) \ y,z,u) = x * (w * w). [hyper(5142,a,131815,a,b,6,a),rewrite([22473(4),50256(5),142140(6),279864(6),51(3),324(2)])]. 303226 (1 / x) \ L(x * y,z,u) = x * L((x \ 1) \ y,z,u). [hyper(5083,a,90188,a,b,131815,a),rewrite([90188(13),131774(9),70217(9),25976(6),51(4),61634(9),50(10)])]. 303307 x * (y * L(y \ (x \ (T(y,z) * u)),w,v5)) = T(y,z) * (x * L(x \ u,w,v5)). [hyper(5081,a,204808,a,b,131815,a),rewrite([204808(10),28584(13)]),flip(a)]. 303455 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(5083,a,13287,a,b,131815,a(flip)),rewrite([13287(10),131815(8),131774(5),60866(6),131774(10)])]. 303495 (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). [para(55(a,1),131815(a,1,2,2,1,2)),rewrite([70355(5),112824(5),24474(9),323(5),69933(8)])]. 303506 K(x,y) * (z * L(z \ x,u,w)) = z * L(z \ T(x,y),u,w). [para(168(a,1),131815(a,1,2,2,1,2,2)),rewrite([5754(5),97066(5),562(4),2195(6),26653(4),95539(3)]),flip(a)]. 303509 K(x * (y * L(y \ z,u,w)),T(v5,z)) = K((y * L(y \ z,u,w)) * x,v5). [para(131815(a,2),181(a,1,1)),rewrite([131815(6),27601(9),51(6)])]. 303536 x * (y * L(y \ (x \ (z * y)),u,w)) = y * (x * L(x \ T(z,y),u,w)). [para(410(a,1),131815(a,1,2,2,1,2,2))]. 303563 a(x,y,a(z,u,w)) * (v5 * L(v6 \ 1,v7,v8)) = v5 * L(v6 \ a(x,y,a(z,u,w)),v7,v8). [para(12879(a,1),131815(a,2,2,2,1)),rewrite([19453(9),12879(8),50(6),17060(13),12981(12)])]. 303716 (x * x) * (y * L(y \ (x \ z),u,w)) = y * L(y \ ((x \ 1) \ z),u,w). [para(68073(a,1),131815(a,1,2,2,1,2,2)),rewrite([25954(9),51(8)]),flip(a)]. 303918 x / ((y * y) \ z) = (x / z) * (y * y). [back_rewrite(182580),rewrite([303197(7)]),flip(a)]. 303935 (x * y) * (y \ L(T(y,x),z,u)) = y * (x * (y \ L(y,z,u))). [back_rewrite(112824),rewrite([303495(9)])]. 304054 x / L((y * y) \ z,u,w) = (x / L(z,u,w)) * (y * y). [back_rewrite(118715),rewrite([303918(6),118304(4)]),flip(a)]. 304101 (x \ y) \ L(x \ y,z,u) = x \ (y * L(y \ x,z,u)). [hyper(5081,a,69933,a(flip),b,303455,a),rewrite([49(6)])]. 304325 (x \ y) * L((x \ y) \ (1 / x),z,u) = T(x,x \ 1) \ (y \ L(y,z,u)). [para(64657(a,1),303455(a,1,2,2,1,2)),rewrite([69933(7),31158(19)]),flip(a)]. 304422 L(x,x,y) \ L(L(x,x,y),z,u) = y \ (L(x,z,u) * (x \ y)). [back_rewrite(271966),rewrite([304101(14),18710(13),158007(11)])]. 304424 ((x \ y) / y) \ L(R(x \ 1,x,y),z,u) = (y * x) \ (y * L(x,z,u)). [back_rewrite(271176),rewrite([304101(6),50(3)]),flip(a)]. 304426 (x * y) \ (x * L(y,z,u)) = x \ (L(y,z,u) * (y \ x)). [back_rewrite(271081),rewrite([304101(6),18710(5),304424(11)]),flip(a)]. 304442 (x * y) \ (L(x,z,u) * y) = y \ (L(x,z,u) * (x \ y)). [back_rewrite(251264),rewrite([304422(4),304101(10),58(7),2195(8)]),flip(a)]. 304447 (x \ y) \ (L(x,z,u) * (x \ (x \ y))) = y \ (L(x,z,u) * (x \ y)). [back_rewrite(235044),rewrite([304422(6),304101(16),18710(15),158007(13)])]. 304455 L(x \ L(x,y,z),u,x) = x \ L(x,y,z). [back_rewrite(226567),rewrite([304101(12),24474(11),303307(11),24474(8),323(4),69933(7),56(8),25262(4)])]. 304458 R(x,y,z) \ L(R(x,y,z),u,w) = L(x \ L(x,u,w),y,z). [back_rewrite(213204),rewrite([304101(10),24474(9),131815(9),24474(6),70245(6),56(6)]),flip(a)]. 304483 L(x,y,z) * (x \ L(L(x,y,z) \ x,u,w)) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). [back_rewrite(173509),rewrite([304101(6),158527(6),159344(6)])]. 304487 x \ (L(x \ y,z,u) * ((x \ y) \ x)) = y \ (x * L(x \ y,z,u)). [back_rewrite(170900),rewrite([304422(8),304101(10)])]. 304509 (x / y) \ (z * L(z \ (x / y),u,w)) = (y \ x) \ (z * L(z \ (y \ x),u,w)). [back_rewrite(144437),rewrite([304101(6),304101(12)])]. 304544 (x \ 1) \ (y * L(y \ (x \ 1),z,u)) = x \ (y * L(y \ x,z,u)). [back_rewrite(69150),rewrite([304101(8),304101(12)])]. 304556 (x \ y) \ (y * L(y \ (x \ y),z,u)) = x \ L(x,z,u). [back_rewrite(65791),rewrite([304101(6)])]. 304580 (x / y) \ L(x / y,z,u) = y \ (x * L(x \ y,z,u)). [back_rewrite(64245),rewrite([304101(8)])]. 304585 T(x,y) \ (z * L(z \ T(x,y),u,w)) = x \ (z * L(z \ x,u,w)). [back_rewrite(64024),rewrite([304101(6),304101(10)])]. 304637 L(x,y,z) * L(x \ L(x,u,w),y,z) = L(L(x,y,z),u,w). [back_rewrite(226606),rewrite([304458(5)])]. 304742 (1 / x) \ (y \ L(y,z,u)) = (y / x) \ L(y,z,u). [hyper(5083,a,304426,a,b,61780,a),rewrite([25954(7),11965(8),69930(7),25954(7),51(6),150375(9),303455(10),148978(10)])]. 304756 T(x \ (L(y,z,u) * (y \ x)),w) = x \ (L(y,z,u) * (y \ x)). [hyper(5081,a,235,a,b,304426,a),rewrite([292963(9),49(6),304426(9)])]. 304759 (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). [hyper(5081,a,67715,a(flip),b,304426,a),rewrite([278100(8),292972(8),106454(6),65068(11),6159(11),6329(10),195075(10)]),flip(a)]. 304764 T(x,y) \ (L(z,u,w) * (z \ T(x,y))) = x \ (L(z,u,w) * (z \ x)). [hyper(295,a,52451,a,b,304426,a),rewrite([304426(6)])]. 304768 (x * L(y,z,u)) / (x * y) = x \ (L(y,z,u) * (y \ x)). [hyper(295,a,2244,a,b,304426,a),rewrite([304426(7),292796(8)])]. 304789 (x * L(x,y,z)) \ 1 = x \ (L(x,y,z) \ 1). [hyper(5142,a,304426,a(flip),b,62166,a),rewrite([50(6),172565(6),61746(5),13654(6)]),flip(a)]. 304803 (x / y) \ (L(y,z,u) * (y \ (x / y))) = x \ ((x / y) * L(y,z,u)). [para(53(a,1),304426(a,1,1)),flip(a)]. 304804 (x / L(y,z,u)) \ (L(y,z,u) * (y \ (x / L(y,z,u)))) = (y * (L(y,z,u) \ x)) \ x. [para(53(a,1),304426(a,1,2)),rewrite([118328(3)]),flip(a)]. 304809 (x * (L(x,y,z) \ u)) \ u = (L(x,y,z) \ u) \ (x \ u). [para(165(a,1),304426(a,1,2)),rewrite([118342(4),304442(10),304764(10),159410(7),304764(14),304804(12)]),flip(a)]. 304810 T(x,y) \ (y \ (x * L(y,z,u))) = L(y \ L(y,z,u),y,x). [para(203(a,1),304426(a,1,1)),rewrite([60507(7),159407(8)]),flip(a)]. 304830 (x \ (L(y,z,u) * (y \ x))) \ (x * L(y,z,u)) = x * y. [para(304426(a,1),411(a,1,2)),rewrite([292796(6),304426(5)]),flip(a)]. 304850 (x * y) \ (L(z,x,y) * (z \ (x * y))) = ((y * x) * z) \ (y * (x * z)). [para(24258(a,1),304426(a,1,2)),rewrite([293742(6)]),flip(a)]. 304852 L(x,(y \ L(y,z,u)) * w,v5) = L(x,(y * L(y,z,u)) * w,v5). [para(304426(a,1),25426(a,1,2,1)),rewrite([323(2),49(3)])]. 304883 K(x,y) * (x \ (L(z,u,w) * (z \ x))) = x \ (L(z,u,w) * (z \ T(x,y))). [para(304426(a,2),8936(a,1,2)),rewrite([304426(7),304764(7)])]. 304908 L(x \ L(x,y,z),x,L(x,u,w)) = x \ L(x,y,z). [para(63806(a,1),304426(a,1,1)),rewrite([64201(8),304101(6),324(3),48(3),81670(12),150599(11),161758(11),160524(10)])]. 304919 (x \ 1) \ (L(y,z,u) * (y \ (x \ 1))) = x \ (L(y,z,u) * (y \ x)). [para(69321(a,1),304426(a,1,1)),rewrite([69911(7),304426(8),23536(14),161647(15),50(13)])]. 304922 a(x,y,((z \ L(z,u,w)) * v5) * v6) = a(x,y,((z * L(z,u,w)) * v5) * v6). [para(304426(a,1),72932(a,1,3,1,1)),rewrite([323(2),49(3)])]. 304969 (x / L(y,z,u)) \ (L(y,w,v5) * (y \ (x / L(y,z,u)))) = L(y \ L(y,w,v5),y,L(y,z,u) \ x). [para(118328(a,1),304426(a,1,1)),rewrite([118653(8)]),flip(a)]. 305007 x / (y \ (L(z,u,w) * (z \ y))) = (y \ (L(z,u,w) * (z \ y))) \ x. [para(304426(a,1),61910(a,1,2,1)),rewrite([12024(10),304756(10),304426(9)])]. 305008 (x \ y) / (L(x,z,u) \ y) = (L(x,z,u) \ y) \ (x \ y). [para(304426(a,2),61910(a,1,2,2)),rewrite([304426(7),292796(8)])]. 305012 (x / T(y,x)) \ (L(y,z,u) * (y \ (x / T(y,x)))) = L(y \ L(y,z,u),y,x). [para(160170(a,1),304426(a,1,2)),rewrite([110123(3),149(2),304810(5)]),flip(a)]. 305060 a(x,x,y) \ 1 = y \ L(y,x,x). [para(62290(a,1),304426(a,1,2)),rewrite([294095(3),85130(2),264128(7)]),flip(a)]. 305093 ((x \ L(x,y,z)) * u) * (L(x,y,z) \ x) = L(u,x * L(x,y,z),x * L(x,y,z)). [back_rewrite(278782),rewrite([304759(4)])]. 305095 ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * (L(x,y,z) * u) = ((L(x,y,z) \ x) * x) * u. [back_rewrite(276397),rewrite([304759(12),296268(11)])]. 305101 ((L(x,y,z) \ x) * u) * (x \ L(x,y,z)) = R(u,x * L(x,y,z),x * L(x,y,z)). [back_rewrite(262214),rewrite([304759(7)])]. 305109 x / ((L(y,z,u) \ y) * (L(y,z,u) \ y)) = (L(y,z,u) \ y) \ (x * (y \ L(y,z,u))). [back_rewrite(226908),rewrite([304759(6)]),flip(a)]. 305131 (L(x,y,z) \ x) \ L(u,x * L(x,y,z),x * L(x,y,z)) = (x \ L(x,y,z)) * u. [back_rewrite(165538),rewrite([304759(12)])]. 305132 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [back_rewrite(165537),rewrite([304759(9),190534(9)])]. 305135 (x \ L(x,y,z)) \ K(u,w) = x * (L(x,y,z) \ K(u,w)). [back_rewrite(163227),rewrite([304759(4)])]. 305138 ((L(x,y,z) \ x) * (L(x,y,z) \ x)) \ u = (x \ L(x,y,z)) * ((L(x,y,z) \ x) \ u). [back_rewrite(155506),rewrite([304759(4)]),flip(a)]. 305139 (L(x,y,z) \ x) \ K(u,w) = K(u,w) * (x \ L(x,y,z)). [back_rewrite(155476),rewrite([304759(5)]),flip(a)]. 305140 ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * u = (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ u). [back_rewrite(92829),rewrite([304759(6)]),flip(a)]. 305143 (x \ (L(x,y,z) \ 1)) \ 1 = x * L(x,y,z). [back_rewrite(251518),rewrite([304789(4)])]. 305144 (x * L(x,y,z)) \ (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(x \ (L(x,y,z) \ 1),u,w). [back_rewrite(251517),rewrite([304789(13)])]. 305145 (x \ (L(x,y,z) \ 1)) \ (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(x * L(x,y,z),u,w). [back_rewrite(251516),rewrite([304789(4)])]. 305146 (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) / (x \ (L(x,y,z) \ 1)) = L(x * L(x,y,z),u,w). [back_rewrite(251514),rewrite([304789(10)])]. 305149 1 / (x * L(x,y,z)) = x \ (L(x,y,z) \ 1). [back_rewrite(251509),rewrite([304789(8)])]. 305155 L(x \ L(x,y,z),x,L(x,y,z) \ u) = (L(x,y,z) \ u) \ (x \ u). [back_rewrite(304804),rewrite([304969(8),304809(9)])]. 305169 R(x,y * L(y,z,u),y * L(y,z,u)) = L(x,y * L(y,z,u),y * L(y,z,u)). [back_rewrite(296961),rewrite([305132(7),305093(6)]),flip(a)]. 305185 (x \ L(x,y,z)) \ (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(L(x,y,z) \ x,u,w). [back_rewrite(293197),rewrite([305132(13)])]. 305195 (x \ L(x,y,z)) \ (L(x,y,z) \ x) = (L(x,y,z) \ x) * (L(x,y,z) \ x). [back_rewrite(296235),rewrite([305132(4)]),flip(a)]. 305196 ((L(x,y,z) \ x) * x) / L(x,y,z) = (L(x,y,z) \ x) * (L(x,y,z) \ x). [back_rewrite(296181),rewrite([305132(4),305132(11),305195(10)])]. 305201 ((x \ L(x,y,z)) * (x \ L(x,y,z))) \ u = (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ u). [back_rewrite(83321),rewrite([305132(4)]),flip(a)]. 305216 ((x \ L(x,y,z)) * (x \ L(x,y,z))) * u = (x \ L(x,y,z)) * ((L(x,y,z) \ x) \ u). [back_rewrite(83322),rewrite([305132(6)]),flip(a)]. 305235 x * ((L(x,y,z) \ 1) * ((x \ 1) \ u)) = ((L(x,y,z) \ x) * x) * u. [back_rewrite(305095),rewrite([305140(8),64201(7),165811(8)])]. 305237 ((L(x,y,z) \ x) * u) * (x \ L(x,y,z)) = L(u,x * L(x,y,z),x * L(x,y,z)). [back_rewrite(305101),rewrite([305169(11)])]. 305274 (x \ y) * (x \ (y * L(y \ x,z,u))) = L(x \ y,z,u). [hyper(5457,a,304101,a)]. 305304 (x * L(x \ y,z,u)) / y = y \ (x * L(x \ y,z,u)). [hyper(5081,a,2244,a,b,304101,a),rewrite([293074(8),304101(8)])]. 305326 (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). [para(54(a,1),304101(a,1,1)),rewrite([54(6),24474(15),56(11)]),flip(a)]. 305327 L(x,y,z) \ L(L(x,y,z),u,w) = L(x \ L(x,u,w),y,z). [para(56(a,1),304101(a,1,1)),rewrite([56(5),24474(13),50(9),24474(10),323(6),69933(9),56(10)])]. 305357 L(x,y \ (z * L(z \ T(y,u),w,v5)),v6) = L(x,y \ (z * L(z \ y,w,v5)),v6). [para(304101(a,2),26514(a,1,2)),rewrite([304101(6),304585(6)]),flip(a)]. 305362 L(x,y \ (z * L(z \ y,u,w)),v5) = L(x,(y \ z) * L(y \ z,u,w),v5). [para(304101(a,1),34030(a,1,2)),rewrite([304585(6),82992(11)])]. 305383 ((x * y) \ x) \ L(L(y \ 1,z,u),y,x) = x \ (L(y,z,u) * (y \ x)). [para(57669(a,2),304101(a,1,2)),rewrite([50(10),304426(11)])]. 305425 L(x,y,z \ (u * L(u \ z,w,v5))) = L(x,y,(z \ u) * L(z \ u,w,v5)). [para(304101(a,1),83146(a,1,3))]. 305426 L(x,y,z \ (u * L(u \ (z \ 1),w,v5))) = L(x,y,(z \ u) * L(z \ u,w,v5)). [para(304101(a,2),83147(a,1,3)),rewrite([304101(8),304544(8),305425(5)]),flip(a)]. 305464 a(x \ (y \ (z * L(z \ y,u,w))),v5,v6) = a(x \ ((y \ z) * L(y \ z,u,w)),v5,v6). [para(304101(a,1),96575(a,2,1,2)),rewrite([81670(6)]),flip(a)]. 305465 a(x \ (y \ (z * L(z \ (y \ 1),u,w))),v5,v6) = a(x \ ((y \ z) * L(y \ z,u,w)),v5,v6). [para(304101(a,2),96575(a,1,1,2)),rewrite([304101(8),304544(8),305464(6)]),flip(a)]. 305504 R(x,y,z) * (x \ L(R(x,y,z) \ x,x,y * z)) = (x \ R(x,y,z)) \ a(x,y,z). [para(256868(a,1),304101(a,1,2)),rewrite([62852(11)]),flip(a)]. 305508 (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) * (x \ R(x,y,z)) = L(x \ R(x,y,z),u,w). [para(304101(a,1),257670(a,1,1)),rewrite([62852(6)])]. 305542 x / L(L(y,z,u) \ L(L(y,w,v5),z,u),v6,v7) = L(L(y \ L(y,w,v5),z,u),v6,v7) \ x. [back_rewrite(293230),rewrite([305327(10)])]. 305548 L(x,y,z) \ L(L(x \ 1,y,z),u,w) = L(x \ L(x \ 1,u,w),y,z). [back_rewrite(277134),rewrite([305327(5),25944(5),70571(4)]),flip(a)]. 305565 L(L(x,y,z),u,w) / L(x,u,w) = L(x \ L(x,y,z),u,w). [back_rewrite(188305),rewrite([305327(8)])]. 305571 L(L(x,y,z),u,w) * (L(x,y,z) \ x) = x * L(x \ L(x,u,w),y,z). [back_rewrite(162846),rewrite([305327(9)])]. 305578 L(x,y,z) \ L(L(T(x,u),y,z),w,v5) = L(x \ L(T(x,u),w,v5),y,z). [back_rewrite(150532),rewrite([305327(5),26458(5),64181(4)]),flip(a)]. 305581 L(x,y,z) * L(L(x,y,z) \ K(u,w),v5,v6) = L(K(u,w) * (x \ L(x,v5,v6)),y,z). [back_rewrite(150371),rewrite([305327(11),26458(11)])]. 305594 L(x,y,z) \ L(L(x,u,w),y,z) = L(x \ L(x,u,w),y,z). [back_rewrite(64228),rewrite([305327(6),64035(4)]),flip(a)]. 305596 L(x,y \ (z * L(z \ T(y,u),w,v5)),v6) = L(x,(y \ z) * L(y \ z,w,v5),v6). [back_rewrite(305357),rewrite([305362(11)])]. 305630 R(x,y,L(z \ L(T(z,u),w,v5),v6,v7)) = R(x,y,L(z,v6,v7) * L(L(z,v6,v7),w,v5)). [back_rewrite(296982),rewrite([305578(5)])]. 305632 L(x,y,z) * L(1 / L(x,y,z),u,w) = L(x * L(1 / x,u,w),y,z). [back_rewrite(150594),rewrite([305578(7),98306(5)]),flip(a)]. 305634 L(T(x,y),z,u) \ L(L(x,z,u),w,v5) = L(T(x,y) \ L(x,w,v5),z,u). [back_rewrite(296913),rewrite([305581(6),9113(4)]),flip(a)]. 305638 x / L(L(y \ L(y,z,u),w,v5),v6,v7) = L(L(y \ L(y,z,u),w,v5),v6,v7) \ x. [back_rewrite(305542),rewrite([305594(4)])]. 305639 R(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)) = R(x,y,L(z \ L(z,v5,v6),u,w)). [back_rewrite(296966),rewrite([305594(4)]),flip(a)]. 305647 a(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)) = a(x,y,L(z \ L(z,v5,v6),u,w)). [back_rewrite(137219),rewrite([305594(4)]),flip(a)]. 305648 a(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) = a(x,L(y \ L(y,w,v5),z,u),v6). [back_rewrite(135910),rewrite([305594(4)]),flip(a)]. 305649 a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7) = a(x * L(y \ L(y,w,v5),z,u),v6,v7). [back_rewrite(134100),rewrite([305594(4)]),flip(a)]. 305650 a(L(x,y,z) * L(L(x,y,z),u,w),v5,v6) = a(L(x \ L(x,u,w),y,z),v5,v6). [back_rewrite(134099),rewrite([305594(4)]),flip(a)]. 305651 a((L(x,y,z) * L(L(x,y,z),u,w)) * v5,v6,v7) = a(L(x \ L(x,u,w),y,z) * v5,v6,v7). [back_rewrite(133671),rewrite([305594(4)]),flip(a)]. 305652 L(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)) = L(x,y,L(z \ L(z,v5,v6),u,w)). [back_rewrite(83267),rewrite([305594(4)]),flip(a)]. 305674 R(x,y,L(z \ L(T(z,u),w,v5),v6,v7)) = R(x,y,L(z \ L(z,w,v5),v6,v7)). [back_rewrite(305630),rewrite([305639(10)])]. 305704 L(x,y,L(z,u,w) * L(L(K(v5,v6) * z,u,w),v7,v8)) = L(x,y,L(z \ L(z,v7,v8),u,w)). [back_rewrite(83298),rewrite([305652(12)])]. 305722 (L(x,y,z) \ x) \ (x \ L(L(x,y,z),x * L(x,y,z),x)) = (x \ L(x,y,z)) * (x \ L(x,y,z)). [hyper(5083,a,305594,a,b,170410,a),rewrite([82976(5),268549(5),82976(6)])]. 305723 x \ L(L(x,y,z),x * L(x,y,z),x) = x \ L(x,y,z). [hyper(5081,a,170410,a,b,305594,a),rewrite([170410(8),82976(5),304455(5),82976(5),268549(5),82976(6)]),flip(a)]. 305725 (L(x,y,z) \ x) \ (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(x \ L(x,y,z),u,w). [hyper(5081,a,63799,a,b,305594,a),rewrite([304101(6),158527(6),159344(6),304483(6),305132(10),91470(9),305594(13)])]. 305737 L(L(x,y,z),u,w) \ L(L(L(x,v5,v6),y,z),u,w) = L(L(x \ L(x,v5,v6),y,z),u,w). [para(64(a,1),305594(a,1,2,1)),rewrite([305327(10)])]. 305738 L(x \ L(x,y,z),u,w) * L(x,u,w) = L(L(x,u,w),y,z). [para(305594(a,1),165(a,2,2,1)),rewrite([305565(4),60(4),292972(3),60(10),292972(9),304637(10)])]. 305780 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)). [para(305594(a,2),63806(a,1,1)),rewrite([305594(4),305132(7),304101(12),158527(12),159344(12),304483(12)])]. 305782 L((L(x,y,z) * L(x,y,z)) * (x \ L(x,u,w)),y,z) = (L(x,y,z) \ 1) \ L(L(x,u,w),y,z). [para(305594(a,1),68073(a,1,2)),rewrite([25954(7)])]. 305784 (L(x,y,z) \ x) * L(x \ L(x,y,z),u,w) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). [para(305594(a,2),70237(a,1,2)),rewrite([293004(4),305132(4),305594(6),304101(12),158527(12),159344(12),304483(12)])]. 305791 L(x,L(L(y,z,u) \ y,w,v5),v6) = L(x,L(y \ L(y,z,u),w,v5),v6). [para(305594(a,2),70578(a,2,2)),rewrite([305132(4),305594(8)])]. 305798 L(x,y,L(L(z,u,w) \ z,v5,v6)) = L(x,y,L(z \ L(z,u,w),v5,v6)). [para(305594(a,2),83591(a,2,3)),rewrite([305132(4),305594(8)])]. 305807 (x \ L(x,y,z)) * L(L(x,y,z) \ x,u,w) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). [para(305594(a,2),98289(a,1,2)),rewrite([305132(4),305594(6),305784(6),293004(12),305132(12)]),flip(a)]. 305816 x / (L(y \ L(y,z,u),w,v5) \ 1) = (L(y \ L(y,z,u),w,v5) \ 1) \ x. [para(305594(a,1),64423(a,1,1,2,1)),rewrite([91475(11),305594(10)])]. 305833 a(x,y,L(L(z,u,w) \ z,v5,v6)) = a(x,y,L(z \ L(z,u,w),v5,v6)). [para(305594(a,2),158417(a,2,3)),rewrite([305132(4),305594(8)])]. 305845 L(R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)),x,y * z) = a(x,y,z) \ L(a(x,y,z),u,w). [para(256868(a,1),305594(a,1,1)),rewrite([265971(6),304101(10),62852(10)]),flip(a)]. 305846 L(x \ R(x,y,z),u,w) \ L(a(x,y,z),u,w) = L((x \ R(x,y,z)) \ a(x,y,z),u,w). [para(256868(a,1),305594(a,1,2,1)),rewrite([256868(12)])]. 305848 L(L(x \ L(x,y,z),u,w),v5,x) = L(x \ L(x,y,z),u,w). [para(255258(a,1),305594(a,1,1)),rewrite([267637(5),304458(4),304458(9),304458(7),304455(6)]),flip(a)]. 305854 (L(x,y,z) \ x) \ (x \ L(x,y,z)) = (x \ L(x,y,z)) * (x \ L(x,y,z)). [back_rewrite(305722),rewrite([305723(7)])]. 305884 (L(x,y,z) \ 1) \ L(L(x,u,w),y,z) = L(x,y,z) * L(L(x,y,z),u,w). [para(305327(a,1),68073(a,1,2)),rewrite([25954(7),305782(7),81670(12)])]. 305885 L(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) = L(x,L(y \ L(y,w,v5),z,u),v6). [para(305327(a,1),68875(a,2,2)),rewrite([81670(6)])]. 305891 L(x,y,z * (L(u,w,v5) * L(L(u,w,v5),v6,v7))) = L(x,y,z * L(u \ L(u,v6,v7),w,v5)). [para(305327(a,1),85295(a,2,3,2)),rewrite([81670(6)])]. 305907 L(x \ 1,y,z) \ L(L(x,y,z),u,w) = L(x * L(x,u,w),y,z). [para(305327(a,1),173671(a,1,2)),rewrite([25954(5),68073(4),81670(4)]),flip(a)]. 305931 L(x,(y \ z) * L(T(y,u) \ z,w,v5),v6) = L(x,(y \ z) * L(y \ z,w,v5),v6). [hyper(295,a,26514,a(flip),b,305362,a),rewrite([305596(6),47630(12)]),flip(a)]. 305968 L(x,(y * z) * L(y * z,u,w),v5) = L(x,y * (z * L(z \ y,u,w)),v5). [para(26378(a,1),305362(a,1,2)),rewrite([22473(6),22924(5),64025(8),82976(5),70109(14),24474(11),50(7)])]. 306027 L(x,R(y,z,u) * L(R(y,z,u),w,v5),v6) = L(x,L(y \ L(y,w,v5),z,u),v6). [para(280564(a,1),305362(a,1,2,2,2,1)),rewrite([25954(7),217392(6),51(5),304458(4),70109(13),150409(11)]),flip(a)]. 306040 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(5457,a,304759,a)]. 306053 (L(x,y,z) \ x) \ T((L(x,y,z) \ x) * u,w) = L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)). [para(304759(a,1),219(a,1,1)),rewrite([304759(6),64067(7)]),flip(a)]. 306066 L(L(x,y,z) \ x,u,w) * (x \ L(x,y,z)) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). [para(304759(a,1),18710(a,1,1)),rewrite([304759(6),305132(6),305807(6),304759(13)]),flip(a)]. 306070 (((T(x,y) * z) \ x) \ (z \ K(y,x))) \ 1 = z * ((x * z) \ x). [para(25395(a,1),304759(a,1,1,1)),rewrite([25395(13),221988(14)])]. 306090 T(x,(L(y,z,u) \ y) * w) = T(x,y * (L(y,z,u) \ w)). [para(304759(a,1),60848(a,1,2,1)),rewrite([60848(4),162681(3),324(9)]),flip(a)]. 306091 (L(x,y,z) \ x) * ((x \ L(x,y,z)) * u) = L(u,x * L(x,y,z),x * L(x,y,z)). [para(304759(a,1),61613(a,1,2,1)),rewrite([165303(11),165220(11)])]. 306101 a((L(x,y,z) \ x) \ u,w,v5) = a((x * L(x,y,z)) \ u,w,v5). [para(304759(a,1),68848(a,1,1,1)),rewrite([150445(4)]),flip(a)]. 306109 (L(x,y,z) \ x) * (u * (x \ L(x,y,z))) = L(u,x * L(x,y,z),x * L(x,y,z)). [para(304759(a,1),61614(a,1,1,2)),rewrite([292656(3),165303(5),165220(5),304759(11)]),flip(a)]. 306115 L(x,y,(L(z,u,w) \ z) * v5) = L(x,y,(z \ L(z,u,w)) * v5). [para(304759(a,1),83104(a,1,3,1)),flip(a)]. 306116 L(x,y,(L(z,u,w) \ z) \ v5) = L(x,y,(z \ L(z,u,w)) \ v5). [para(304759(a,1),83147(a,1,3,1)),flip(a)]. 306121 (L(T(x,y),z,u) \ x) \ 1 = x \ L(T(x,y),z,u). [para(304759(a,1),99782(a,1,2)),rewrite([64035(5),64181(4)]),flip(a)]. 306133 T(x,y \ ((z \ L(z,u,w)) \ v5)) = T(x,(y \ v5) * (L(z,u,w) \ z)). [para(304759(a,1),127165(a,1,2,2,2)),rewrite([293004(3)])]. 306135 a(x \ ((L(y,z,u) \ y) \ w),v5,v6) = a(x \ ((y \ L(y,z,u)) \ w),v5,v6). [para(304759(a,1),96575(a,1,1,2,1)),flip(a)]. 306137 (x \ L(x,y,z)) * ((L(x,y,z) \ x) * u) = L(u,x * L(x,y,z),x * L(x,y,z)). [para(304759(a,1),134854(a,2,2,1)),rewrite([304759(4),304759(6),305132(6),306091(12)])]. 306138 a(x,y * (L(z,u,w) \ z),v5) = a(x,y * (z \ L(z,u,w)),v5). [para(304759(a,1),50787(a,1,2,2)),flip(a)]. 306139 a(x,y,((L(z,u,w) \ z) * v5) * v6) = a(x,y,((z * L(z,u,w)) * v5) * v6). [para(304759(a,1),73040(a,1,3,1,1)),rewrite([304922(5)]),flip(a)]. 306140 a(x,y,((z * L(z,u,w)) * v5) * v6) = a(x,y,v6 * ((z \ L(z,u,w)) * v5)). [para(304759(a,1),135952(a,1,3,2,1)),rewrite([306139(10)]),flip(a)]. 306142 x / ((y \ L(y,z,u)) * (y \ L(y,z,u))) = x * ((L(y,z,u) \ y) * (L(y,z,u) \ y)). [para(304759(a,1),67315(a,1,2,2)),rewrite([305854(5)])]. 306145 (L(x,y,z) \ x) * (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(L(x,y,z) \ x,u,w). [para(304759(a,1),158113(a,1,2,2)),rewrite([306066(8),49(14)])]. 306160 (x * (y \ L(y,z,u))) * (L(y,z,u) \ y) = L(x,y * L(y,z,u),y * L(y,z,u)). [para(304759(a,1),202072(a,2,2)),rewrite([91470(4),304759(4),91472(6),305237(12)])]. 306162 R(x,L(y,z,u) \ y,w) = R(x,y \ L(y,z,u),w). [para(304759(a,1),206751(a,1,2)),flip(a)]. 306163 R(x,y,(L(z,u,w) \ z) * v5) = R(x,y,(z \ L(z,u,w)) * v5). [para(304759(a,1),217015(a,1,3,1)),flip(a)]. 306169 (R(x,y,z) \ R(R(x,u,x),y,z)) \ 1 = R(R(x,u,x),y,z) \ R(x,y,z). [para(255258(a,1),304759(a,1,1,1)),rewrite([255258(11)])]. 306172 L(x,y,z) * (x \ R(L(x,y,z) \ x,u,w)) = x * (L(x,y,z) \ R(x \ L(x,y,z),u,w)). [para(304759(a,1),272488(a,1,1)),rewrite([304759(6),272488(6),158527(6),284497(6),324(13),48(13),272488(12),162681(12)])]. 306197 T(x,y * (L(z,u,w) \ z)) = T(x,z * (L(z,u,w) \ y)). [back_rewrite(91479),rewrite([306090(4)]),flip(a)]. 306256 T(x,(T(y,z) \ u) * (L(y,w,v5) \ y)) = T(x,L(T(y,z),w,v5) \ u). [back_rewrite(266686),rewrite([306133(6)])]. 306267 R((L(x,y,z) \ x) \ u,x \ L(x,y,z),L(x,y,z)) = (u * L(x,y,z)) / x. [back_rewrite(210846),rewrite([306162(7)])]. 306271 ((x * (L(y,z,u) \ y)) * L(y,z,u)) / y = R(x,y \ L(y,z,u),L(y,z,u)). [back_rewrite(92675),rewrite([306162(10)])]. 306332 (x / T(y,z)) \ (L(u,w,v5) * (u \ (x / T(y,z)))) = (x / y) \ (L(u,w,v5) * (u \ (x / y))). [hyper(295,a,43201,a,b,304442,a),rewrite([231599(9),304442(6),304756(8)]),flip(a)]. 306378 (x * y) \ (a(z,u,w) \ (x * (y * a(z,u,w)))) = a(x,y,a(z,u,w)) \ 1. [para(15015(a,1),304442(a,1,2)),rewrite([293797(7),159393(11)]),flip(a)]. 306413 (1 / x) * (L(y,z,u) * (y \ x)) = x * (L(y,z,u) * (y \ (x \ 1))). [para(304442(a,2),60809(a,1,1)),rewrite([304442(8),304919(8),60426(5)])]. 306527 L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)). [back_rewrite(305012),rewrite([306332(8),304803(6)]),flip(a)]. 306572 L(L(T(x,y),z,u),w,v5) \ L(x,z,u) = L(x \ L(x,w,v5),z,u) \ K(y,x). [hyper(5142,a,305132,a,b,96747,a),rewrite([305327(6),64035(4),9510(7),31850(7)]),flip(a)]. 306583 (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) \ 1 = L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)). [hyper(5081,a,293077,a,b,305132,a),rewrite([91483(6),304101(12),158527(12),159344(12),304483(12)]),flip(a)]. 306585 L(R(x,y,z),u,w) \ R(x,y,z) = L(x \ L(x,u,w),y,z) \ 1. [hyper(5081,a,280576,a,b,305132,a),rewrite([280576(10),304458(8)])]. 306587 L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x) = L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)). [hyper(5081,a,118292,a,b,305132,a),rewrite([91483(6),304101(12),162681(12),306583(14)])]. 306590 L(L(x,y,z),u,w) \ L(x,y,z) = L(x \ L(x,u,w),y,z) \ 1. [hyper(5081,a,96747,a,b,305132,a),rewrite([96747(7),195124(6),305327(10),64035(8)])]. 306603 L(L(x,y,z),u,w) \ L(x,u,w) = L(x \ L(x,y,z),u,w) \ 1. [para(64(a,1),305132(a,2,1)),rewrite([305327(4)]),flip(a)]. 306619 ((T(x,y) * z) \ x) \ (z \ K(y,x)) = (z * ((x * z) \ x)) \ 1. [para(25395(a,1),305132(a,1,1,2)),rewrite([221988(6),25395(8)]),flip(a)]. 306629 (x \ (y * L(y \ x,z,u))) \ 1 = L(x \ y,z,u) \ (x \ y). [para(33918(a,2),305132(a,1,1)),rewrite([26458(6),9113(5),304101(6),304585(6)])]. 306638 L((x * y) \ x,z,u) \ ((x * y) \ x) = (x \ (L(y,z,u) * (y \ x))) \ 1. [para(57669(a,2),305132(a,1,1,2)),rewrite([305383(7)]),flip(a)]. 306639 L(L(x \ 1,y,z),x,u) \ ((u * x) \ u) = (u \ (L(x,y,z) * (x \ u))) \ 1. [para(57669(a,2),305132(a,2,1)),rewrite([304101(6),50(3),304426(4)]),flip(a)]. 306647 x * ((x \ L(x,y,z)) * R(L(x,y,z) \ x,u,w)) = L(x,y,z) * R(L(x,y,z) \ x,u,w). [para(305132(a,1),61406(a,1,2,2,1)),rewrite([49(11)])]. 306649 L(x \ (y * y),z,u) \ (x \ (y * y)) = L(x,z,u) \ x. [para(66364(a,2),305132(a,1,1)),rewrite([173280(7),171722(6),22655(6),292972(4),305132(4)]),flip(a)]. 306652 ((L(x,y,z) \ x) * ((x \ L(x,y,z)) \ u)) * w = (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ (u * w)). [para(305132(a,1),68332(a,1,1,1)),rewrite([305132(11)])]. 306668 L(x / y,z,u) \ (x / y) = L(y \ x,z,u) \ (y \ x). [para(305132(a,2),95823(a,2,1)),rewrite([95823(7),91472(6),304580(8),306629(10),91472(10)])]. 306683 (L(x,y,z) \ x) \ (u * (x \ L(x,y,z))) = u * ((x \ L(x,y,z)) * (x \ L(x,y,z))). [para(305132(a,1),67315(a,1,2,2)),rewrite([305195(5),305109(6)])]. 306687 L(x \ y,x \ y,x) \ (x \ y) = ((x \ y) * (y \ x)) \ 1. [para(170410(a,2),305132(a,1,1,2)),rewrite([170410(6),304101(5),24263(4),50(5)]),flip(a)]. 306688 (x \ L(x,y,z)) * R(L(x,y,z) \ x,u,w) = x * (L(x,y,z) \ R(x \ L(x,y,z),u,w)). [para(305132(a,1),62675(a,2,2,1)),rewrite([49(4),158527(6),284497(6),306172(6)]),flip(a)]. 306692 (L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z))) \ (L(x,y,z) \ x) = L(L(x,y,z) \ x,u,w). [para(305132(a,2),156001(a,1,1)),rewrite([304101(6),162681(6),306583(8)])]. 306695 R(x,L(y / z,u,w) \ (z \ y),v5) = R(x,z \ (y * L(y \ z,u,w)),v5). [para(305132(a,2),216240(a,1,2)),rewrite([304580(4),306629(6),306162(5),304101(4)]),flip(a)]. 306698 L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = L(x * L(x,y,z),u,w) \ (x * L(x,y,z)). [para(173480(a,1),305132(a,1,1)),rewrite([306583(8)])]. 306701 L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = L((x \ R(x,y,z)) \ a(x,y,z),u,w) \ 1. [para(265971(a,1),305132(a,1,1,2)),rewrite([305846(6),265971(12)]),flip(a)]. 306702 (R(R(x,y,x),z,u) \ R(x,z,u)) \ 1 = R(x,z,u) \ R(R(x,y,x),z,u). [para(255258(a,1),305132(a,1,1,2)),rewrite([255258(9)])]. 306704 R(L(x,y,z) \ x,x \ L(x,y,z),u) * u = (x \ L(x,y,z)) \ u. [para(305132(a,1),268782(a,1,1,1))]. 306706 (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) \ 1 = L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)). [para(272623(a,2),305132(a,1,1,2)),rewrite([272623(6),304101(6),62852(6)])]. 306762 x / L(L(y \ L(y,z,u),w,v5) \ 1,v6,v7) = L(L(y \ L(y,z,u),w,v5) \ 1,v6,v7) \ x. [back_rewrite(156011),rewrite([306603(4),306590(11)])]. 306764 T(L(x \ L(x,y,z),u,w) \ 1,v5) = L(x \ L(x,y,z),u,w) \ 1. [back_rewrite(106556),rewrite([306603(4),306590(10)])]. 306785 T(x,L(y \ L(y,z,u),w,v5) \ 1) = x. [back_rewrite(91475),rewrite([306603(4)])]. 306786 L(x \ L(x,y,y),z,u) \ 1 = a(y,y,L(x,z,u)). [back_rewrite(85138),rewrite([306603(4)])]. 306787 ((x * ((y * x) \ y)) \ 1) \ 1 = x * ((y * x) \ y). [back_rewrite(306070),rewrite([306619(6)])]. 306792 (x \ K(y,z)) * (((T(z,y) * x) \ z) \ 1) = (x * ((z * x) \ z)) \ 1. [back_rewrite(165817),rewrite([306619(14)])]. 306810 T((x \ (L(y,z,u) * (y \ x))) \ 1,w) = (x \ (L(y,z,u) * (y \ x))) \ 1. [back_rewrite(106572),rewrite([306639(7),306638(13)])]. 306849 x / ((L(y,z,u) \ y) * (L(y,z,u) \ y)) = x * ((y \ L(y,z,u)) * (y \ L(y,z,u))). [back_rewrite(305109),rewrite([306683(12)])]. 306850 (x \ y) * (((x \ y) * (y \ x)) \ 1) = 1 / (y \ x). [back_rewrite(170825),rewrite([306687(6)])]. 306851 x * (x * (L(x,y,z) \ R(x \ L(x,y,z),u,w))) = L(x,y,z) * R(L(x,y,z) \ x,u,w). [back_rewrite(306647),rewrite([306688(6)])]. 306854 (L(x * L(x,y,z),u,w) \ (x * L(x,y,z))) \ (L(x,y,z) \ x) = L(L(x,y,z) \ x,u,w). [back_rewrite(306692),rewrite([306698(6)])]. 306855 L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x) = L(x * L(x,y,z),u,w) \ (x * L(x,y,z)). [back_rewrite(306587),rewrite([306698(12)])]. 306905 L(L(x \ L(x,y,z),u,w) \ 1,L(L(x,u,w),y,z),z * y) = a(z,y,L(x,u,w)). [para(306590(a,1),25021(a,1,1)),rewrite([54(16)])]. 306917 (L(x \ L(x,y,z),u,w) \ 1) * v5 = v5 * (L(x \ L(x,y,z),u,w) \ 1). [para(306590(a,2),47565(a,1,2,2)),rewrite([60(4),292972(3),306590(9),306785(11),5537(10),292829(9),48(14)])]. 306960 (L(x * L(x,y,z),u,w) \ (x * L(x,y,z))) \ (x \ L(x,y,z)) = L(x \ L(x,y,z),u,w). [para(306590(a,2),162867(a,1,2,2)),rewrite([49(4),306590(8),159097(10),306698(8),91470(9)])]. 306970 L(x \ L(x,y,x),z,u) \ 1 = a(x,y,x). [para(101893(a,1),306590(a,2,1,1,2)),rewrite([255259(3),272623(4),170029(2),5525(2),255347(3)]),flip(a)]. 306971 L(R(R(x,y,x),z,u) \ R(x,z,u),w,v5) \ 1 = L(R(x,z,u) \ R(R(x,z,u),y,x),w,v5). [para(255258(a,1),306590(a,2,1,1,2)),rewrite([267637(4),273146(6)]),flip(a)]. 307125 L(L(x \ L(x,y,z),u,w) \ 1,v5,L(x \ L(x,y,z),u,w)) = L(x \ L(x,y,z),u,w) \ 1. [hyper(5083,a,3491,a,b,306917,a(flip)),rewrite([306764(12),56(19),26414(11)])]. 307228 ((L(x \ L(x,y,z),u,w) \ 1) \ v5) * K(v6,v7) = v5 / (L(x \ L(x,y,z),u,w) \ K(v7,v6)). [para(306917(a,1),178504(a,1,1,2)),rewrite([293208(7),306785(12)]),flip(a)]. 307284 L(x \ (y \ x),z,u) \ (x \ (y \ x)) = (x \ (L(y,z,u) * (y \ x))) \ 1. [para(411(a,2),306629(a,1,1,2,2,1)),rewrite([2195(5)]),flip(a)]. 307299 L(x \ ((x / y) * z),u,w) \ (x \ ((x / y) * z)) = (x \ ((x / y) * (z * L(z \ y,u,w)))) \ 1. [para(26452(a,2),306629(a,1,1,2,2,1)),rewrite([85939(7)]),flip(a)]. 307355 L(x \ L(x,y,z),x \ u,u) \ 1 = L((x \ u) * u,y,z) \ ((x \ u) * u). [para(95525(a,1),306629(a,1,1,2,2,1)),rewrite([161832(9),324(8),305132(8),324(10),324(13),306585(12)]),flip(a)]. 307360 L(x \ a(a(y,z,u),w,v5),v6,v7) \ (x \ a(a(y,z,u),w,v5)) = L(x,v6,v7) \ x. [para(112586(a,1),306629(a,1,1)),rewrite([113544(8),305132(4)]),flip(a)]. 307366 L(x \ (y / z),u,w) \ (x \ (y / z)) = L(x \ (z \ y),u,w) \ (x \ (z \ y)). [para(131774(a,1),306629(a,1,1,2)),rewrite([306629(8)]),flip(a)]. 307371 L((x \ y) \ x,z,u) \ ((x \ y) \ x) = ((x \ y) \ (x \ L(y,z,u))) \ 1. [para(28563(a,1),306629(a,1,1,2)),flip(a)]. 307384 R(x,y,z \ (u * L(u \ z,w,v5))) = R(x,y,(z \ u) * L(z \ u,w,v5)). [para(306629(a,1),206104(a,1,3)),rewrite([217133(5)]),flip(a)]. 307394 L(R(x,y,z) \ x,x,z * y) \ (R(x,y,z) \ x) = (R(x,y,z) \ (x * a(x,y,z))) \ 1. [para(265975(a,1),306629(a,1,1,2,2)),flip(a)]. 307395 L(R(x,y,z) \ x,u,w) \ (R(x,y,z) \ x) = L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)). [para(256863(a,2),306629(a,1,1,2,2,1)),rewrite([256863(3),173150(6),173188(5),62852(6),306706(8)]),flip(a)]. 307401 (x * (y \ (z * L(z \ y,u,w)))) * (L(y \ z,u,w) \ (y \ z)) = R(x,y \ (z * L(z \ y,u,w)),(y \ z) * L(y \ z,u,w)). [para(306629(a,1),89886(a,1,2)),rewrite([307384(19)])]. 307411 (R(x,y,z) \ (x * a(x,y,z))) \ 1 = a(x,y,z) \ (x \ R(x,y,z)). [back_rewrite(307394),rewrite([307395(7),265975(4)]),flip(a)]. 307426 a(L(L(x,y,z) \ x,u,w),v5,v6) = a(L(x * L(x,y,z),u,w),v5,v6). [para(306854(a,1),69472(a,2,1)),rewrite([194951(11),269771(10),170916(9),12554(6),46610(6)]),flip(a)]. 307429 a(x * L(L(y,z,u) \ y,w,v5),v6,v7) = a(x * L(y \ L(y,z,u),w,v5),v6,v7). [para(306854(a,2),110461(a,2,1,2)),rewrite([305139(4),26470(7),306854(14)]),flip(a)]. 307431 a(L(x \ L(x,y,z),u,w),v5,v6) = a(L(x * L(x,y,z),u,w),v5,v6). [para(306854(a,1),96371(a,2,1)),rewrite([304759(10),306960(9),307426(8)])]. 307452 a(L(x,y,z) * L(L(x,y,z),u,w),v5,v6) = a(L(x * L(x,u,w),y,z),v5,v6). [back_rewrite(305650),rewrite([307431(9)])]. 307607 (x \ L(x,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(304556(a,1),2412(a,1,2,1)),rewrite([292824(8),49(6),304556(10)]),flip(a)]. 307615 L(x \ L(x,y,z),x,L(L(x,u,w),v5,v6)) = x \ L(x,y,z). [para(149084(a,2),304556(a,1,1)),rewrite([149084(5),149634(11),149742(10),304101(6),324(3),48(3)])]. 307622 (x * (L(x,y,z) \ u)) \ (x * (u * L(u \ (L(x,y,z) \ u),w,v5))) = L(x \ L(x,w,v5),y,z). [para(162681(a,1),304556(a,1,1)),rewrite([162681(8),24474(11),50(7),305327(14)])]. 307667 (x \ L(x,y,z)) * (x \ L(x,u,w)) = L(x,u,w) * L(x \ 1,y,z). [para(304556(a,1),293086(a,1,1)),rewrite([63802(10)])]. 307672 x / ((L(y,z,u) \ y) * (L(y,z,u) \ y)) = x * (L(y,z,u) * L(y \ 1,z,u)). [back_rewrite(306849),rewrite([307667(11)])]. 307677 x * ((L(y,z,u) \ y) * (L(y,z,u) \ y)) = x / (L(y,z,u) * L(y \ 1,z,u)). [back_rewrite(306142),rewrite([307667(5)]),flip(a)]. 307681 (L(x,y,z) \ x) \ (x \ L(x,y,z)) = L(x,y,z) * L(x \ 1,y,z). [back_rewrite(305854),rewrite([307667(10)])]. 307682 (x \ L(x,y,z)) * ((L(x,y,z) \ x) \ u) = (L(x,y,z) * L(x \ 1,y,z)) * u. [back_rewrite(305216),rewrite([307667(5)]),flip(a)]. 307684 (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ u) = (L(x,y,z) * L(x \ 1,y,z)) \ u. [back_rewrite(305201),rewrite([307667(5)]),flip(a)]. 307692 ((L(x,y,z) \ x) * (L(x,y,z) \ x)) \ u = (L(x,y,z) * L(x \ 1,y,z)) * u. [back_rewrite(305138),rewrite([307682(12)])]. 307694 (L(x,y,z) * L(x \ 1,y,z)) \ (u * w) = ((L(x,y,z) * L(x \ 1,y,z)) \ u) * w. [back_rewrite(306652),rewrite([307684(6),307684(14)]),flip(a)]. 307697 ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * u = (L(x,y,z) * L(x \ 1,y,z)) \ u. [back_rewrite(305140),rewrite([307684(12)])]. 307734 ((x \ y) * (y \ x)) \ 1 = (y \ x) \ ((x \ y) \ 1). [para(60487(a,1),307360(a,1,1)),rewrite([70966(4),20287(9),28992(8),306687(10)]),flip(a)]. 307764 (x \ y) * ((y \ x) \ ((x \ y) \ 1)) = 1 / (y \ x). [back_rewrite(306850),rewrite([307734(6)])]. 307765 L(x \ y,x \ y,x) \ (x \ y) = (y \ x) \ ((x \ y) \ 1). [back_rewrite(306687),rewrite([307734(10)])]. 307792 L(x,y,z) * L((u * u) * (x \ L(x,w,v5)),y,z) = L(L(x * (u * u),y,z),w,v5). [hyper(295,a,49326,a(flip),b,304637,a),rewrite([95757(8),20865(6),22655(8),292972(6),25954(6)])]. 307808 (L(x \ L(x,y,z),u,w) / x) * L(x,u,w) = x \ L(L(x,u,w),y,z). [hyper(5083,a,304637,a(flip),b,158354,a),flip(a)]. 307809 L(x,y,z) * (x \ L(x \ L(x,u,w),y,z)) = x \ L(L(x,y,z),u,w). [hyper(5083,a,304637,a(flip),b,158113,a),flip(a)]. 307866 L(x \ 1,y,z) * L(x \ L(x,u,w),y,z) = L(L(x \ 1,y,z),u,w). [para(31952(a,2),304637(a,1,2,1)),rewrite([70240(10),5784(9)])]. 307960 L(x \ L(x,y,z),R(u,w,v5),v6) = L(x \ L(x,y,z),L(u,w,v5),v6). [hyper(5081,a,291306,a,b,304458,a),rewrite([291306(6),215709(6),215709(8),304458(10)])]. 307993 a((R(x,y,z) * L(R(x,y,z),u,w)) \ v5,v6,v7) = a(L(x \ L(x,u,w),y,z) \ v5,v6,v7). [para(304458(a,1),69472(a,2,1,1)),rewrite([81670(6)])]. 308002 L(x,y,R(z,u,w) * L(R(z,u,w),v5,v6)) = L(x,y,L(z \ L(z,v5,v6),u,w)). [para(304458(a,1),83146(a,1,3)),flip(a)]. 308013 a((R(x,y,z) * L(R(x,y,z),u,w)) * v5,v6,v7) = a(L(x \ L(x,u,w),y,z) * v5,v6,v7). [para(304458(a,1),65261(a,1,1,1)),flip(a)]. 308027 R(R(x,y,x),z,u) \ R(x,z,u) = L(x \ L(x,y,x),z,u). [para(101893(a,1),304458(a,2,1,2)),rewrite([255258(5),255347(6)])]. 308033 L(x \ L(x,y,z),x,x * u) = L(x \ L(x,y,z),x,u). [para(269242(a,1),304458(a,1,1)),rewrite([269242(7),304458(8),304580(6),324(3),48(3),304101(9),324(6),48(6)]),flip(a)]. 308035 L(x \ L(x,y,z),x,x \ u) = L(x \ L(x,y,z),x,u). [para(270259(a,1),304458(a,1,1)),rewrite([270259(4),304458(6),308033(4)]),flip(a)]. 308036 (L(x,y,z) * L(x \ 1,y,z)) * (L(x \ L(x,y,z),u,w) \ v5) = L(L(x,y,z) \ x,u,w) \ v5. [para(304458(a,2),173671(a,1,2,1)),rewrite([307667(5),304458(9),305132(14)])]. 308061 L(R(x,y,z) \ R(R(x,y,z),u,x),w,v5) = L(L(x \ L(x,u,x),y,z),w,v5) \ 1. [back_rewrite(306971),rewrite([308027(4)]),flip(a)]. 308062 R(x,y,z) \ R(R(x,u,x),y,z) = a(x,u,x). [back_rewrite(306702),rewrite([308027(4),306970(5)]),flip(a)]. 308063 L(x \ L(x,y,x),z,u) = a(x,y,x) \ 1. [back_rewrite(306169),rewrite([308062(4),308027(7)]),flip(a)]. 308100 L(R(x,y,z) \ R(R(x,y,z),u,x),w,v5) = L(a(x,u,x) \ 1,w,v5) \ 1. [back_rewrite(308061),rewrite([308063(8)])]. 308104 R(R(x,y,x),z,u) \ R(x,z,u) = a(x,y,x) \ 1. [back_rewrite(308027),rewrite([308063(7)])]. 308239 x * (a(y,y,z) \ 1) = x * (z \ L(z,y,y)). [hyper(290,a,305060,a)]. 308256 x * L(a(y,y,x) \ 1,z,u) = x * L(x \ L(x,y,y),z,u). [para(305060(a,2),207(a,2,2,1)),rewrite([188068(2),188110(4)]),flip(a)]. 308456 (x \ L(x,y,y)) * z = z * (a(y,y,x) \ 1). [para(305060(a,1),95099(a,2,1)),rewrite([206751(5),294282(3),48(5),59540(4)]),flip(a)]. 308608 R(x \ L(x,y,y),a(y,y,x),z) * z = a(y,y,x) \ z. [para(305060(a,1),268782(a,1,1,1))]. 308657 L(a(x,x,y) \ 1,z,u) \ 1 = a(x,x,L(y,z,u)). [para(305060(a,2),306590(a,2,1,1)),rewrite([26307(4)]),flip(a)]. 308798 L(x,y * L(z \ a(u,w,a(v5,v6,v7)),v8,v9),v10) = L(x,y * L(z \ 1,v8,v9),v10). [para(303563(a,1),21156(a,1,2))]. 308799 a(x,y,L(z \ a(u,w,a(v5,v6,v7)),v8,v9)) = a(x,y,L(z,v8,v9)). [para(303563(a,2),22365(a,1,3)),rewrite([86937(8),66271(7),17060(7),72926(8),164060(5)]),flip(a)]. 308901 (x \ L(x,y,z)) * (x * L(x,y,z)) = L(x,y,z) * L(x,y,z). [hyper(5083,a,82013,a,b,306091,a),rewrite([82013(9),89903(9),93322(9),59689(9),13654(4),304789(6),948(7),305143(8),195212(5)]),flip(a)]. 308915 x \ (L(x,y,z) \ ((x * L(x,y,z)) * (x * L(x,y,z)))) = x * L(x,y,z). [hyper(5081,a,89885,a,b,306091,a),rewrite([22924(8),305149(4),95720(10),308901(15),163055(14),50(13)])]. 308931 L(T((x \ L(x,y,z)) \ ((L(x,y,z) \ x) \ u),w),x * L(x,y,z),x * L(x,y,z)) = T(u,w). [hyper(295,a,255,a,b,306091,a),rewrite([306040(5),306040(6),324(3),48(3)]),flip(a)]. 308932 x * (L(x,y,z) \ T(L(x,y,z) * (x \ ((x \ L(x,y,z)) \ u)),w)) = (x \ L(x,y,z)) \ T(u,w). [hyper(7088,a,306091,a(flip),b,5000,a),rewrite([293004(7),165769(10),292656(13),308931(24)])]. 308948 (L(x,y,z) * L(x \ 1,y,z)) \ ((u * (L(x,y,z) \ x)) \ w) = (u * (x \ L(x,y,z))) \ w. [para(306091(a,1),11968(a,1,1,2)),rewrite([293169(7),307667(9)]),flip(a)]. 308980 L(x,x * L(x,y,z),x * L(x,y,z)) = x. [para(2412(a,2),306091(a,1,2)),rewrite([292824(6),49(5),92649(4)]),flip(a)]. 308990 (L(x,y,z) * L(x \ 1,y,z)) \ ((L(x,y,z) \ x) \ u) = (x \ L(x,y,z)) \ u. [para(306091(a,1),20865(a,1,1)),rewrite([293169(7),307667(8)]),flip(a)]. 309024 1 / (x \ (L(x,y,z) \ 1)) = x * L(x,y,z). [hyper(5081,a,82013,a,b,305146,a),rewrite([82013(7),89903(7),93322(7),59689(7),13654(2),304789(4),948(5),305143(6),293169(10),63802(6),51(5)]),flip(a)]. 309046 K(x,y) * (z * (u \ L(u,w,v5))) = (u \ L(u,w,v5)) * (K(x,y) * z). [hyper(7088,a,120583,a,b,306160,a),rewrite([7724(5),25190(8),120583(15),305131(15)])]. 309067 R(x,y \ (z * L(z \ y,u,w)),(y \ z) * L(y \ z,u,w)) = L(x,(y \ z) * L(y \ z,u,w),(y \ z) * L(y \ z,u,w)). [hyper(5081,a,305362,a,b,306160,a),rewrite([305362(9),304101(13),307401(19)]),flip(a)]. 309068 (L(x,y,z) \ 1) \ x = x * L(x,y,z). [hyper(5081,a,89885,a,b,306160,a),rewrite([22924(8),305149(4),95720(10),308915(8),303495(7),158113(7),68073(8)]),flip(a)]. 309077 L(x,y,z) \ (x \ 1) = x \ (L(x,y,z) \ 1). [hyper(267,a,60426,a(flip),b,306160,a),rewrite([305149(4),293587(12),99084(8)]),flip(a)]. 309093 L(x,y * (L(z,u,w) \ z),v5) = L(x,y * (z \ L(z,u,w)),v5). [para(306160(a,1),25672(a,1,2,2)),rewrite([293169(7)]),flip(a)]. 309161 (x * x) \ (L(x,y,z) \ x) = x \ (L(x,y,z) \ 1). [back_rewrite(99084),rewrite([309077(8)])]. 309218 K(x,y) * (z * (x \ L(x,u,w))) = (x \ L(T(x,y),u,w)) * z. [hyper(5081,a,96799,a(flip),b,309046,a),rewrite([60(2),6159(6)]),flip(a)]. 309325 x * ((y \ L(y,z,u)) * w) = x * (w * (y \ L(y,z,u))). [para(309046(a,1),7760(a,1,2)),rewrite([17950(7),292972(4)])]. 309423 ((x \ L(x,y,z)) * u) \ 1 = (u * (x \ L(x,y,z))) \ 1. [para(309046(a,1),12004(a,2,1)),rewrite([5539(10),57887(12),292972(9)]),flip(a)]. 309499 a(x,y,((z * L(z,u,w)) * v5) * v6) = a(x,y,v6 * (v5 * (z \ L(z,u,w)))). [para(309046(a,1),135952(a,2,3,1)),rewrite([5754(3),49(3),13993(7),65256(11),13929(12),304922(10)]),flip(a)]. 309551 (x * (y * (z \ L(z,u,w)))) \ ((z \ L(z,u,w)) * (x * y)) = a(x,y,z * L(z,u,w)). [para(309046(a,1),60489(a,1,2)),rewrite([11961(13),9542(12),562(8),292972(8),72892(12),5539(18)])]. 309828 (L(x,y,z) \ 1) \ T(x,u) = x * L(T(x,u),y,z). [para(309068(a,1),95539(a,1,1)),rewrite([7726(4),26653(3),149(2)]),flip(a)]. 309873 (L(x,y,z) \ 1) \ L(x,u,w) = L(x,y,z) * L(x,u,w). [para(309068(a,1),28563(a,1,2,1,2)),rewrite([93404(9),63868(9),50(5)]),flip(a)]. 309904 R(x,(L(y / z,u,w) \ 1) \ (z \ y),v5) = R(x,(z \ y) * L(y / z,u,w),v5). [para(309068(a,1),216240(a,1,2)),rewrite([216479(5)]),flip(a)]. 309946 (1 / L(x,y,z)) \ x = (1 / x) \ L(x,y,z). [back_rewrite(194882),rewrite([309828(7),160878(5)]),flip(a)]. 309986 L(x,y,z) / (L(x,u,w) * L(x,y,z)) = L(x,u,w) \ 1. [hyper(6683,a,309873,a)]. 310021 L(x,y,z) \ ((1 / x) \ L(x,y,z)) = T(x,x \ 1). [hyper(5083,a,28098,a(flip),b,309873,a(flip)),rewrite([71522(6),160887(7),26414(13),28083(11),166088(9)])]. 310022 (1 / L(x,y,z)) * L(x,u,w) = L(x,y,z) \ L(x,u,w). [hyper(5083,a,309873,a(flip),b,68073,a),rewrite([22473(7),22924(5)])]. 310087 a(L(x,y,z) \ L(x,u,w),v5,v6) = a(L(x,y,z) * L(x,u,w),v5,v6). [para(309873(a,1),68848(a,1,1)),flip(a)]. 310114 R(1 / L(x,y,z),L(x,y,z),L(x,u,w)) = L(x,y,z) \ 1. [para(309873(a,2),94500(a,2,2)),rewrite([309873(12),309986(11)])]. 310175 (L(x,y,z) \ 1) * L(T(x,x \ 1),u,w) = L(x,y,z) \ L(x,u,w). [back_rewrite(150956),rewrite([310022(13)])]. 310237 T(x,L(y,z,u) \ 1) = T(x,y \ 1). [para(310114(a,2),36619(a,2,2)),rewrite([60(2),60(3),229195(6),36619(5),310114(9)]),flip(a)]. 310253 R(x,L(y,z,u),L(L(y,z,u),L(y,z,u),x)) = L(y \ L(y,L(y,z,u),x),z,u) \ x. [para(310114(a,2),228185(a,1,2,2,1)),rewrite([49(2),310114(7),69933(7),305327(5),293077(5),217672(12)]),flip(a)]. 310259 a(L(x,y,z),L(x,y,z),L(x,u,w)) = K(x,x \ 1). [para(310114(a,1),256868(a,1,1,2)),rewrite([3776(7),5537(5),65050(4),28057(10),28083(10),5678(8),12554(9),46610(9)]),flip(a)]. 310271 L(L(x \ L(x,y,z),u,w),L(x,u,w),L(x,v5,v6)) = L(x \ L(x,y,z),u,w). [para(310114(a,1),304458(a,1,1)),rewrite([310114(9),304101(8),324(5),48(5),305327(4),304580(11),324(8),48(8),305327(7)]),flip(a)]. 310368 L(x,y,z) \ (L(x,u,w) \ L(x,y,z)) = L(x,u,w) \ 1. [hyper(18642,a,310022,a),rewrite([6174(5),11562(4)]),flip(a)]. 310397 L(x,y,z) * (L(x,u,w) \ 1) = L(x,u,w) \ L(x,y,z). [hyper(295,a,410,a,b,310022,a),rewrite([6174(6),11562(5)])]. 310561 R(x,y,L(z,u,w) \ L(z,v5,v6)) = R(x,y,L(z,u,w) * L(z,v5,v6)). [para(310022(a,1),217015(a,2,3)),rewrite([340(5)]),flip(a)]. 310595 L(x \ 1,y,z) \ L(x \ 1,u,w) = L(x,y,z) \ L(x,u,w). [back_rewrite(166142),rewrite([310397(9),310397(12)])]. 310598 L(x,y,z) * (L(x,u,w) \ x) = x * (L(x,u,w) \ L(x,y,z)). [back_rewrite(165947),rewrite([310397(5)]),flip(a)]. 310666 (1 / x) * (L((y * y) / x,z,u) \ L((y * y) / x,w,v5)) = L(1 / x,w,v5) * (L(x,z,u) \ x). [hyper(5083,a,310598,a,b,180359,a),rewrite([306668(10),306649(10),22473(8),25944(5),180466(4)]),flip(a)]. 310678 L(1 / x,y,z) * (L(x,u,w) \ x) = x * (L(x,u,w) \ L(1 / x,y,z)). [hyper(5081,a,60426,a,b,310598,a),rewrite([60426(9),162842(10),162882(10),306668(15),165684(15)]),flip(a)]. 310694 (L(x,y,z) \ x) * L(x,u,w) = x * (L(x,y,z) \ L(x,u,w)). [hyper(295,a,2195,a,b,310598,a),rewrite([25190(5)])]. 310825 (1 / x) * (L((y * y) / x,z,u) \ L((y * y) / x,w,v5)) = x * (L(x,z,u) \ L(1 / x,w,v5)). [back_rewrite(310666),rewrite([310678(16)])]. 310845 (L(x,y,z) \ 1) \ (L(x,u,w) \ 1) = L(x,u,w) \ L(x,y,z). [hyper(5083,a,310368,a(flip),b,268782,a),rewrite([310561(8),269219(8),310114(6)])]. 310976 (x * x) \ (L(x,y,z) \ L(x,u,w)) = L(x,y,z) \ L(x \ 1,u,w). [hyper(5083,a,310845,a,b,173671,a),rewrite([310845(12),310595(8)])]. 310983 (L(x,y,z) \ 1) \ (1 / x) = x * L(1 / x,y,z). [hyper(5081,a,149540,a(flip),b,310845,a),rewrite([80838(10)]),flip(a)]. 310984 (L(x \ 1,y,z) \ 1) \ x = x * L(1 / x,y,z). [hyper(5081,a,59166,a(flip),b,310845,a),rewrite([145139(4),292939(7),83591(15),185450(13),340(13)]),flip(a)]. 311010 L(L(x,y,z) \ 1,u,w) * (L(x,v5,v6) \ L(x,y,z)) = L(x,v5,v6) \ L(x \ L(x,u,w),y,z). [para(310845(a,1),18710(a,1,1)),rewrite([310845(10),131942(12),69933(7),305327(5),310845(16)]),flip(a)]. 311069 T(x,T(L(y,z,u) \ L(y,w,v5),L(y,w,v5) * v6)) = T(x,T(L(y,z,u) \ L(y,w,v5),v6)). [para(310845(a,1),121044(a,1,2,1)),rewrite([92038(8),36711(7),121395(16),92045(14)])]. 311219 (L(x,y,z) \ x) * L(1 / x,u,w) = x * (L(x,y,z) \ L(1 / x,u,w)). [hyper(5083,a,310694,a,b,180359,a),rewrite([306668(7),306649(7),22473(8),93149(8),25944(7),180466(6),310825(16)])]. 311230 (L(x,y,z) \ x) * L(x \ 1,u,w) = (x \ 1) * (L(x,y,z) \ L(x,u,w)). [hyper(5081,a,173698,a,b,310694,a),rewrite([310595(9),310595(14),173698(13),165684(12)]),flip(a)]. 311232 (x \ 1) * (L(x,y,z) \ L(x,u,w)) = L(x,y,z) \ (x \ L(x,u,w)). [hyper(5081,a,69321,a,b,310694,a),rewrite([310595(8),310976(5),163178(6),165684(10),311230(10)]),flip(a)]. 311276 L(L(x,y,z) \ L(x,u,w),x,x) = L(x,y,z) \ L(x,u,w). [para(310694(a,2),61613(a,1,2)),rewrite([165684(6),311230(6),311232(6),162922(5),310595(10)]),flip(a)]. 311316 L(x,y,z) \ (x \ L(x,u,w)) = x \ (L(x,y,z) \ L(x,u,w)). [para(310694(a,2),28098(a,2)),rewrite([310595(7),311276(4),165684(10),311230(10),311232(10)]),flip(a)]. 311340 (L(x,y,z) \ x) * L(x \ 1,u,w) = x \ (L(x,y,z) \ L(x,u,w)). [back_rewrite(311230),rewrite([311232(12),311316(10)])]. 311379 L(x,y,z) / L(L((x \ 1) \ 1,u,w),L(x,u,w),L(x,y,z)) = L(x,u,w) \ L(x,y,z). [hyper(295,a,57662,a,b,310397,a),rewrite([71522(6),28083(11)])]. 311386 ((L(x,y,z) \ 1) / x) * L(x,u,w) = x \ (L(x,y,z) \ L(x,u,w)). [hyper(5083,a,310397,a(flip),b,158354,a),flip(a)]. 311442 L(L((x \ 1) \ 1,y,z),L(x,y,z),L(x,u,w)) = (L(x,y,z) \ L(x,u,w)) \ L(x,u,w). [para(310397(a,1),12004(a,2,1)),rewrite([71522(5),28083(10)])]. 311758 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(60487(a,1),310984(a,1,1,1)),rewrite([49(2),170557(11)]),flip(a)]. 311766 a((L(x \ 1,y,z) \ x) \ u,w,v5) = a((x * L(x,y,z)) \ u,w,v5). [para(310984(a,1),69472(a,1,1,1)),rewrite([150522(6)]),flip(a)]. 311769 (L(x \ 1,y,z) * L(x \ 1,y,z)) * (x * u) = (L(x,y,z) * (x \ L(x \ 1,y,z))) * u. [para(310984(a,1),68332(a,1,1,2)),rewrite([71522(7),69340(6),31391(8),164850(8),71522(14),69340(13),82324(18)]),flip(a)]. 311777 (L(x \ 1,y,z) * L(x \ 1,y,z)) * x = L(x,y,z) * (x \ L(x \ 1,y,z)). [para(310984(a,1),81194(a,1,2)),rewrite([83591(10),70578(8),83626(6),31391(8),164850(8)]),flip(a)]. 311786 R(x,x \ y,L(y,z,u)) \ (y * L(1 / y,z,u)) = (x \ y) * L(1 / y,z,u). [para(310984(a,2),95099(a,1,2)),rewrite([231757(5),217672(5),310984(9)])]. 311804 R(x,y,L(y,z,u)) * (y * L(1 / y,z,u)) = (x * y) * L(1 / y,z,u). [para(310984(a,2),401(a,1,2)),rewrite([231757(4),217672(4),310984(8)])]. 311844 (L(x \ 1,y,z) \ 1) \ L(x,u,w) = L(x \ 1,y,z) * L(x,u,w). [para(310984(a,1),28563(a,1,2,1,2)),rewrite([70217(17),163100(11),323(6),49(5)]),flip(a)]. 311867 (x * L(y \ 1,z,u)) * y = (x * L(y,z,u)) * (1 / y). [para(310984(a,2),203704(a,1,2)),rewrite([214147(4),206730(4),310984(8),206157(7),6174(13),3334(12),90193(13)]),flip(a)]. 311923 (L(x \ 1,y,z) * L(x,y,z)) * (1 / x) = L(x,y,z) * (x \ L(x \ 1,y,z)). [back_rewrite(311777),rewrite([311867(8)])]. 311928 (x * L(a(y,z,u),w,v5)) * (a(y,z,u) \ 1) = a(y,z,u) * (x * L(a(y,z,u) \ 1,w,v5)). [back_rewrite(70513),rewrite([311867(7),6706(6)])]. 311984 ((x * y) \ 1) * (y * x) = (y * x) * (1 / (x * y)). [hyper(5081,a,28098,a(flip),b,296035,a),rewrite([60426(12),49(11)])]. 311989 x * L(((y \ x) * y) \ 1,z,u) = x \ L(y * (x / y),z,u). [hyper(295,a,7776,a,b,296035,a),rewrite([53(4),26458(6),144988(5),53(8)])]. 312038 ((x \ y) * x) \ L(y,z,u) = y \ L(x * (y / x),z,u). [para(51(a,1),296035(a,1,1)),rewrite([311989(6),51(8)]),flip(a)]. 313446 (x * y) / (L(x,z,u) * y) = (y * L(x,z,u)) \ (y * x). [hyper(5083,a,114062,a(flip),b,242321,a),rewrite([5754(6),20984(6),11573(3)]),flip(a)]. 313470 (T(x,y) * y) / (x * L(y,z,u)) = (L(y,z,u) * x) \ (x * y). [para(210(a,1),114062(a,1,1)),rewrite([27438(6),168(5),11573(5),27438(9),168(8),11573(8),210(10),147577(10)])]. 313501 L(x,(L(y,z,u) \ y) * w,v5) = L(x,(y * L(y,z,u)) * w,v5). [para(114062(a,2),25426(a,1,2,1)),rewrite([13654(2),72446(6),61746(5),159097(4),13654(6)])]. 313650 T((x * L(y,z,u)) \ (x * y),w) = (x * L(y,z,u)) \ (x * y). [hyper(5081,a,235,a,b,313446,a),rewrite([12016(9),50(7),34897(7),49(6),313446(9)])]. 313677 (x * L(y / x,z,u)) \ (x * (y / x)) = (x * L(x \ y,z,u)) \ y. [para(53(a,1),313446(a,1,1)),rewrite([207(3),156355(4)]),flip(a)]. 313682 (x * (L(x,y,z) \ u)) / u = u \ (x * (L(x,y,z) \ u)). [para(197(a,2),313446(a,1,2)),rewrite([6159(7),203122(8),6174(4),409(3),11562(3),53(8),118328(7)])]. 313684 (x * y) / (x * L(y,z,u)) = (x * L(y,z,u)) \ (x * y). [para(203(a,1),313446(a,2,2)),rewrite([410(2),11573(4),197036(11)])]. 313796 T(x,y \ (z * (L(z,u,w) \ y))) = x. [para(313446(a,1),115174(a,1,2,1)),rewrite([313650(6),12024(5),50(3),25190(3),12024(5),162681(3)]),flip(a)]. 313820 x / ((y * L(z,u,w)) \ (y * z)) = ((y * L(z,u,w)) \ (y * z)) \ x. [para(313446(a,2),61910(a,1,2,1)),rewrite([313446(4),12024(10),313650(10)])]. 313836 (L(R(x * K(y,z),u,w),v5,v6) \ R(x,u,w)) * K(y,z) = L(x \ L(x,v5,v6),u,w) \ 1. [para(201268(a,1),313446(a,2,2)),rewrite([201843(3),26653(7),201843(6),91483(8),219546(8),26458(12),201268(11),306585(16),11961(14),26458(13),5784(12)])]. 313889 a(x,x,R(y,z,u)) = a(x,x,L(y,z,u)). [back_rewrite(263512),rewrite([313836(8),306786(5)]),flip(a)]. 313967 K(x,y \ (z * (L(z,u,w) \ y))) = 1. [hyper(7049,a,706,a,b,313682,a),rewrite([313682(4),313796(14),517(11)])]. 314002 (x * (x * (L(x,y,z) \ u))) / (x * u) = (x * u) \ (x * (x * (L(x,y,z) \ u))). [hyper(5081,a,52451,a,b,313682,a),rewrite([162681(6),241(7),197045(8),162681(9)]),flip(a)]. 314006 T(x \ (y * (L(y,z,u) \ x)),w) = x \ (y * (L(y,z,u) \ x)). [hyper(5081,a,235,a,b,313682,a),rewrite([313967(9),49(6),313682(9)])]. 314033 K(x * (L(x,y,z) \ u),w) * (u \ (x * (L(x,y,z) \ u))) = T(x * (L(x,y,z) \ u),w) / u. [hyper(5083,a,313682,a(flip),b,236781,a),rewrite([5754(9)])]. 314041 L(x \ (y * (L(y,z,u) \ x)),w,v5) * x = x * L(x \ (y * (L(y,z,u) \ x)),w,v5). [para(313682(a,1),207(a,1,1,1))]. 314056 T(x,y) \ (z * (L(z,u,w) \ T(x,y))) = x \ (z * (L(z,u,w) \ x)). [para(313682(a,2),11215(a,2,1)),rewrite([172071(7),313682(10),314006(12)])]. 314082 K(x,y) * (x \ (z * (L(z,u,w) \ x))) = x \ (z * (L(z,u,w) \ T(x,y))). [para(313682(a,2),8936(a,1,2)),rewrite([313682(7),314056(7)])]. 314140 x / (y \ (z * (L(z,u,w) \ y))) = (y \ (z * (L(z,u,w) \ y))) \ x. [para(313682(a,2),61910(a,1,2,1)),rewrite([313682(4),12024(10),60848(10),314006(10)])]. 314149 T(x * (L(x,y,z) \ u),w) / u = u \ T(x * (L(x,y,z) \ u),w). [para(313682(a,1),108686(a,1,2,1,2)),rewrite([51(5)]),flip(a)]. 314183 K(x * (L(x,y,z) \ u),w) * (u \ (x * (L(x,y,z) \ u))) = u \ T(x * (L(x,y,z) \ u),w). [back_rewrite(314033),rewrite([314149(14)])]. 314228 (x * (y * z)) / (x * (y * L(z,u,w))) = (x * (y * L(z,u,w))) \ (x * (y * z)). [para(380(a,1),313684(a,1,1)),rewrite([24271(6),24271(10),380(12)])]. 314274 K(x,y) * ((x * L(z,u,w)) \ (x * z)) = (T(x,y) * z) / (x * L(z,u,w)). [para(313684(a,1),231372(a,1,2))]. 314641 T(x * (K(y,z) * K(u,x)),u) = x * K(y,T(z,u)). [para(210(a,1),41543(a,1,1)),rewrite([7726(6),250794(7),41543(5),80379(4),52958(5),7726(4),186(8),2717(8)])]. 314790 ((x * y) * z) / (y * (z * K(u,w))) = R(x * K(w,T(u,y * z)),y,z). [para(401(a,1),41543(a,1,1)),rewrite([7726(5),201843(11)])]. 314951 T(x,K(y,z)) / (u * K(y,z)) = K(z,y) * (x / u). [back_rewrite(178834),rewrite([314641(10),237796(9)])]. 314974 R((x / y) / z,z,y) = x / (z * y). [back_rewrite(147206),rewrite([314790(10),3545(7),36200(6),122610(5),147(6,R),51(3)])]. 315197 (x * y) * (z \ (z \ a(a(u,w,v5),v6,v7))) = x * (y * (z \ (z \ a(a(u,w,v5),v6,v7)))). [para(7733(a,1),72446(a,1,1)),rewrite([72446(6),72446(5),66558(4),113605(4),66558(11),113605(11)]),flip(a)]. 315898 (x * L(y,z,u)) / ((x / y) * L(y,z,u)) = y * K(x,y). [para(158527(a,1),243739(a,1,2)),rewrite([5537(8),2045(8)])]. 316951 (x * y) / L(z \ ((u * u) * y),z,x) = x * ((u * u) \ z). [hyper(5081,a,72092,a,b,60485,a),rewrite([72092(3),23536(7),25603(10)]),flip(a)]. 317985 (x * x) \ T(y * z,y) = T(y * ((x * x) \ z),y). [para(316951(a,2),24832(a,2,1)),rewrite([206011(5),152336(4),316951(10)])]. 318142 L(x,y,z) * R(u,L((w * w) * x,y,z),u) = T(u * L(x,y,z),u). [back_rewrite(152240),rewrite([317985(7),69930(5),25954(5),51(4)]),flip(a)]. 318195 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(165(a,1),6713(a,1,2,1)),rewrite([5004(6)]),flip(a)]. 318215 R(T(a(x,y,z) \ u,a(x,y,z) * w),a(x,y,z),w) = (a(x,y,z) * w) \ (u * w). [para(6592(a,1),6713(a,1,2,1)),flip(a)]. 318455 ((x * y) * y) \ ((y * y) * z) = R(T(x,y * y),y,y) \ z. [para(6713(a,1),23536(a,1,1)),flip(a)]. 318544 (x * y) \ ((x * (z \ L(z,u,w))) * y) = R(z \ L(z,u,w),x,y). [para(309046(a,2),6713(a,1,2,1)),rewrite([7724(3),7724(9),11961(10),5784(9),7724(11),292972(12),204510(11)])]. 318584 (x * y) * R(z \ L(z,u,w),x,y) = (x * (z \ L(z,u,w))) * y. [hyper(5457,a,318544,a)]. 318642 (x * T(y,x * (z \ L(z,u,w)))) \ (y * (x * (z \ L(z,u,w)))) = R(z \ L(z,u,w),x,y). [para(410(a,1),318544(a,1,2)),rewrite([203025(17)])]. 318795 R(a(x,y,x) \ 1,z,u) = a(x,y,x) \ 1. [para(255258(a,1),318544(a,1,2,1,2,2)),rewrite([308104(5),89186(5),197784(4),89265(5),255258(8),308104(7)]),flip(a)]. 318850 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(5142,a,236275,a,b,62166,a),rewrite([1599(3),172565(6),72446(5),175983(4),51(4)])]. 318867 (T(x,y) * (L(x,z,u) \ (y * x))) / (x * y) = (y * x) \ (x * (L(x,z,u) \ (y * x))). [hyper(295,a,313682,a,b,236275,a),rewrite([162919(5),162930(5),162919(12),162930(12)])]. 319170 L(((x * y) \ (y * z)) \ u,(x * y) \ (y * z),y * x) = (y * z) \ ((x * y) * u). [para(236275(a,1),60487(a,1,1,1)),rewrite([236275(8),52457(14)])]. 319806 (x * (y / x)) \ 1 = y \ K(x \ y,x). [para(53(a,1),318850(a,1,1)),rewrite([2399(2)]),flip(a)]. 319859 K(x \ (y \ 1),z) * (K(x,y) / (x * y)) = T(K(x,y) / (x * y),z). [para(318850(a,1),1205(a,1,1,1)),rewrite([6385(4),76714(14)])]. 319860 K(x \ (y \ 1),z) / (y * x) = T(1 / (y * x),z). [para(318850(a,2),1205(a,1,1,1)),rewrite([318850(3),6385(4),75459(8),23178(12)])]. 319900 L(x * y,z,u) * ((y * x) \ 1) = (y * x) \ L(x * y,z,u). [para(318850(a,1),18733(a,2,2)),rewrite([70215(8),28584(8),318850(4),296035(6)]),flip(a)]. 320136 T(x * y,y \ (x \ 1)) \ z = (((x * y) \ 1) \ 1) \ z. [para(318850(a,2),80800(a,2,1,1)),rewrite([89903(4),318850(9)])]. 320203 T(K(x,y) / (x * y),x \ (y \ 1)) = K(x,y) / (x * y). [para(318850(a,1),31412(a,1,2)),rewrite([12024(7)])]. 320388 x * (K(y,z) / (y * z)) = x * (1 / (z * y)). [para(318850(a,1),230094(a,1,2,2)),rewrite([28083(7),178495(6),26653(5),7726(3),149(2),410(2),59164(4)]),flip(a)]. 320544 T(K(x,y) / (x * y),z) = T(1 / (y * x),z). [back_rewrite(319859),rewrite([320388(8),75459(8),319860(6)]),flip(a)]. 320555 K(x,y) / (x * y) = 1 / (y * x). [back_rewrite(320203),rewrite([320544(7),119965(7)]),flip(a)]. 320585 L(x * y,y * x,y * x) = ((x * y) \ 1) \ 1. [hyper(5142,a,28098,a(flip),b,319900,a),rewrite([311984(5),42256(9),12016(6),91579(6),7726(5),137627(5)]),flip(a)]. 321520 T(x,(y / z) \ (z \ u)) = T(x,z \ ((z \ y) \ u)). [para(319806(a,1),127165(a,2,2,1)),rewrite([337(6),12024(4),92543(9),144988(8),12024(8)])]. 321808 T(x,T(a(y,z,u) / (w * (v5 / w)),v5)) = T(x,w \ ((w \ v5) \ a(y,z,u))). [para(319806(a,2),294242(a,2,2,1)),rewrite([31864(6),41109(5),180718(5),92038(13),12024(11),321520(11)])]. 322681 (a(x,y,z) * T(u,w)) \ K(v5,T(u,w)) = (a(x,y,z) * T(T(u,w),v5)) \ 1. [para(294494(a,2),51265(a,1,1)),rewrite([294494(5),561(6)])]. 322864 (x \ (y * T(z,u))) / (w * T(z,u)) = (x \ (y * z)) / (w * z). [hyper(5142,a,97409,a(flip),b,153201,a)]. 323193 (x / (R(y,z,u) * w)) * (y * T(R(y,z,u) * (y \ w),v5)) = x * K(R(y,z,u) * (y \ w),v5). [para(62761(a,1),153201(a,1,1,2))]. 323194 x * K(R(y,z,u) * (y \ w),v5) = x * K(w,v5). [para(62761(a,2),153201(a,1,2)),rewrite([287039(7),323193(9)])]. 323523 (R(x,y,z) \ x) \ T(u,w) = T((R(x,y,z) \ x) \ u,w). [back_rewrite(287721),rewrite([323194(8),95539(5)])]. 323551 (R(x,y,z) \ u) * L(R(T(x,x \ u),y,z),w,v5) = L(R(x,y,z),w,v5) * (R(x,y,z) \ u). [hyper(5081,a,103017,a,b,159326,a),rewrite([289639(6),159326(16)])]. 323605 T(L(x,y,z) * (x \ u),w) = T((u / x) * L(x,y,z),w). [para(159326(a,1),11664(a,2,1)),rewrite([26402(7),83147(7),70578(5),161725(11),85935(8)]),flip(a)]. 323765 L(x \ L(x,y,z),u,w) * ((x \ L(x,y,z)) \ v5) = ((L(x,y,z) \ x) \ v5) * L(L(x,y,z) \ x,u,w). [para(305594(a,2),159326(a,2,1)),rewrite([305132(4),91470(3),305132(7),305594(11)]),flip(a)]. 324185 R(x / T(y * y,z),u,w) * v5 = R(x,u,w) * (T(y * y,z) \ v5). [hyper(5081,a,62761,a,b,122083,a),rewrite([62761(7),280811(9)]),flip(a)]. 327407 (x \ y) * K(z,T(u,x)) = T((y / x) * K(z,u),x). [hyper(7088,a,39638,a(flip),b,7725,a),rewrite([41109(8)]),flip(a)]. 327456 T(x,K(y,z) * (u * (w / u))) = T(x,T(K(y,z) * w,u)). [para(39638(a,1),262(a,1,2,1)),rewrite([41515(6),108738(4),36491(4),7724(8)]),flip(a)]. 327721 (x \ (a(y,z,u) \ x)) * (K(w,v5) * x) = K(w,v5) * (a(y,z,u) \ x). [para(292756(a,1),39638(a,1,1)),rewrite([43663(11),15121(10)])]. 327820 T(x,T(y * (z / y),u)) = T(x,T(z,u * y)). [back_rewrite(21895),rewrite([327456(5),2045(2),27773(4)]),flip(a)]. 327872 L(a(a(x,y,z),u,w) \ v5,v6,v7) \ v8 = a(a(x,y,z),u,w) * (L(v5,v6,v7) \ v8). [hyper(5083,a,28754,a(flip),b,162842,a),rewrite([6706(3),277245(11),112974(7),50(6),6706(8)]),flip(a)]. 328019 a(a(x,y,z),u,w) * ((v5 / L(a(a(x,y,z),u,w) \ v6,v7,v8)) \ (v6 * (L(v6,v7,v8) \ v5))) = v6. [back_rewrite(118518),rewrite([327872(10),70950(12)])]. 328343 T(x,T(y / (z \ u),z * w)) = T(x,T((z * y) / u,w)). [para(50367(a,2),121044(a,1,2,2)),rewrite([50367(7),128059(7),44940(7),127350(7),61871(5),36300(5),36711(9)]),flip(a)]. 328561 T(x,T((K(y,z) / u) \ w,v5)) = T(x,T(u * (w * K(z,y)),v5)). [back_rewrite(194211),rewrite([328343(6),9510(3),7726(3)]),flip(a)]. 328969 K(x,y * z) * (z \ 1) = z \ K(x,z * y). [hyper(7088,a,76081,a,b,211798,a),rewrite([106181(4),194085(5),71337(10),91776(14),31850(13),66364(12),50(7)])]. 329282 L(x \ L(y,y,y \ z),x,z) = (z * x) \ (z / (1 / y)). [para(211798(a,1),11971(a,2,2)),rewrite([26402(2),53(5),53(6)])]. 329452 (x * (y \ R(y,z,u))) / (1 / x) = y * R(y \ (x * x),z,u). [para(257648(a,1),211798(a,1,1)),rewrite([273772(4)]),flip(a)]. 329460 (x \ (a(y,z,u) \ x)) * (x * x) = (a(y,z,u) * (x \ 1)) \ x. [para(292756(a,1),211798(a,1,1)),rewrite([294329(10)])]. 329461 (x / (1 / y)) / (x * y) = (x * y) \ (x / (1 / y)). [para(211798(a,1),292709(a,1,1)),rewrite([53(5),53(7),211798(9)])]. 330482 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(412(a,1),53561(a,1,2)),rewrite([78471(10)])]. 331090 (x / y) \ ((x / y) / z) = (y \ x) \ ((y \ x) / z). [hyper(5083,a,231508,a,b,330482,a),rewrite([231508(6),237391(6)])]. 331121 (x \ y) \ T(z,K(y,x)) = T(z / (x \ y),y / x). [hyper(5083,a,203,a,b,330482,a),rewrite([2598(4),2729(5),41109(5),105205(5),9510(11),7726(11),5739(11),44462(8),53543(8)]),flip(a)]. 331167 (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). [hyper(5083,a,7452,a(flip),b,330482,a),rewrite([51(3)]),flip(a)]. 331209 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(5081,a,330482,a,b,203,a),rewrite([9510(8),7726(8),5739(8),44462(5),53543(5),331121(5),410(6),2598(7),2729(8)])]. 331470 (x / y) * (R(y \ x,z,u) * ((y \ x) \ w)) = K(y,y \ x) * (R(y \ x,z,u) * w). [para(62852(a,1),330482(a,1,2))]. 332143 (x / (y \ 1)) / (y * y) = x / T(y,y \ 1). [para(331209(a,1),210845(a,1,1)),rewrite([178495(5),64714(3),149(4)]),flip(a)]. 332242 L(1 / x,x,x \ y) = y \ (y / T(x,x \ 1)). [back_rewrite(279207),rewrite([332143(5)]),flip(a)]. 333066 (x \ (1 / x)) / (y \ 1) = (x \ 1) * (x \ y). [hyper(295,a,57662,a,b,68101,a),rewrite([163725(9),67207(9)])]. 333508 (L(x,y,z) * L(x,y,z)) / x = (x \ L(x,y,z)) * L(x,y,z). [para(91467(a,1),68101(a,2,2)),rewrite([91470(6),304759(6),307681(5),311867(6),180145(6),304759(8)])]. 334585 (T(x / y,z * z) * u) \ (x / y) = (T(y \ x,z * z) * u) \ (y \ x). [hyper(5081,a,72103,a,b,96757,a),rewrite([112055(11),74451(10),68576(11),127270(11),26415(14),95539(16),72222(14)])]. 334991 (T(x \ 1,y * y) * z) \ (x \ 1) = (x * z) \ T(x,y * y). [back_rewrite(185060),rewrite([334585(8)])]. 335207 T(x,y * (z \ a(u,w,a(v5,v6,v7)))) = T(x,y / z). [para(32548(a,2),92240(a,1,2)),rewrite([32548(8),122887(7),92240(6),123794(4)]),flip(a)]. 335299 (L(L(x,y,z) \ x,u,w) \ 1) \ (L(x * L(x,y,z),u,w) \ (x * L(x,y,z))) = L(x,y,z) \ x. [hyper(7088,a,306917,a,b,162882,a),rewrite([305132(4),305132(6),310237(8),304759(6),292656(5),305132(6),106454(15),293077(14),159097(15),306698(13)]),flip(a)]. 335345 L(x \ (a(a(y,z,u),w,v5) \ 1),v6,v7) \ v8 = a(a(y,z,u),w,v5) * (L(x \ 1,v6,v7) \ v8). [hyper(5083,a,7730,a(flip),b,162882,a),rewrite([20287(5),118285(12),22296(13),112970(9),67715(8),173671(6),20287(12)]),flip(a)]. 335460 x * (L(x,x,y) \ y) = R(y,x,x). [para(59166(a,1),162882(a,1,2)),rewrite([410(7),89886(4)]),flip(a)]. 335463 (x \ y) * (L(x \ y,x \ y,x) \ z) = ((x \ y) \ 1) * ((y \ x) \ z). [para(60487(a,1),162882(a,1,2,1)),rewrite([49(5)]),flip(a)]. 335465 (x \ 1) * L(x \ L(x,y,z),u,w) = x \ L(x \ L(x,y,z),u,w). [para(63806(a,2),162882(a,1,2)),rewrite([63806(12),305327(10),304101(8),324(5),48(5),305548(12),149088(12)])]. 335506 (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). [para(91470(a,2),162882(a,1,1)),rewrite([91470(4),304759(4),304759(6)]),flip(a)]. 335530 R(x \ 1,L(x,y,z),L(x,y,z)) = 1 / x. [para(162882(a,1),250031(a,1,1)),rewrite([159097(4),69340(8),311219(6),160406(5),51(4),217672(11),206730(9)]),flip(a)]. 335537 (x \ 1) * L(x \ R(x,y,z),u,w) = x \ L(x \ R(x,y,z),u,w). [para(256863(a,2),162882(a,1,2)),rewrite([63(6),272888(10),272488(8),324(5),48(5),63(11),277132(12),273664(12)])]. 335548 L(x,y,z) * (L(x \ L(x,u,w),y,z) \ 1) = L(1 / L(x,y,z),u,w) \ 1. [para(306590(a,1),162882(a,2,2)),rewrite([162923(10)]),flip(a)]. 335598 R(1 / x,L(x,y,z),L(x,y,z)) = x \ 1. [hyper(5081,a,80817,a(flip),b,335530,a),rewrite([80838(5),217664(9),216141(8)]),flip(a)]. 335604 a(x,L(x,y,z),L(x,y,z)) = K(x,x \ 1). [hyper(7088,a,335530,a(flip),b,16569,a),rewrite([46610(5),547(6),13757(8)])]. 335608 R(R(x,y,z) \ 1,L(L(x,y,z),u,w),L(R(x,y,z),u,w)) = 1 / R(x,y,z). [para(63(a,2),335530(a,1,2)),rewrite([63(5),216122(8)])]. 335639 R(x \ y,L(y \ x,z,u),L(y \ x,z,u)) = ((x \ y) \ 1) \ 1. [para(335530(a,1),60829(a,1,1)),rewrite([170557(5),49(7)]),flip(a)]. 335650 (x * L(1 / x,y,z)) * L(x,y,z) = x * (L(x \ 1,y,z) * L(x,y,z)). [para(335530(a,1),401(a,1,1)),rewrite([135559(6),98289(10)]),flip(a)]. 335657 (x \ 1) * (1 / L(x,y,z)) = (1 / x) / L(x,y,z). [para(335530(a,1),190931(a,1,1)),flip(a)]. 335944 (x \ 1) * ((x * y) * z) = x * (((1 / x) * y) * z). [para(66975(a,1),380(a,1,1)),rewrite([26414(8),25721(7)]),flip(a)]. 335999 (x \ 1) * (R(x,y,z) * u) = x * (R(1 / x,y,z) * u). [para(62761(a,1),66975(a,1,2)),rewrite([275593(11),268785(11)])]. 336007 K(x,y \ (z * ((1 / z) * u))) = K(x,y \ u). [para(66975(a,1),60845(a,2,2,2)),rewrite([69318(5),291186(6),60845(4),51(2)]),flip(a)]. 336127 (x * ((1 / x) * y)) \ (1 / x) = L(y,x,x) \ (x \ 1). [para(66975(a,1),26416(a,2,1)),rewrite([66904(3),22934(4)]),flip(a)]. 336273 R(x \ 1,y,z) * (x * u) = x * (R(1 / x,y,z) * u). [back_rewrite(275594),rewrite([335999(10)])]. 336550 ((a(x,y,z) * u) * w) * (a(x,y,z) \ 1) = a(x,y,z) * (((a(x,y,z) \ 1) * u) * w). [hyper(5081,a,294302,a(flip),b,335944,a),rewrite([337(5),6743(12)])]. 336656 T(x,y * (((1 / y) * z) * u)) = T(x,y \ ((y * z) * u)). [para(335944(a,1),220(a,2,2)),rewrite([123794(9),76527(7)]),flip(a)]. 336797 K(((1 / x) * y) * z,T(u,x)) = K(z * ((1 / x) * y),T(u,y)). [para(335944(a,2),14494(a,1,2,2)),rewrite([335944(9),336656(10),27834(9),62070(9),26920(9),27536(7)]),flip(a)]. 337521 a(x * R(y \ 1,z,u),w,v5) = a(R(y,z,u) * x,w,v5). [para(32296(a,1),12586(a,1,1,2,1)),rewrite([273934(6)]),flip(a)]. 337703 a(x * R(y \ a(z,u,a(w,v5,v6)),v7,v8),v9,v10) = a(R(y,v7,v8) * x,v9,v10). [para(7735(a,2),337521(a,2,1)),rewrite([7732(7),70732(6),12999(5),7735(11),12541(12)])]. 338014 (x \ 1) * a(x,y,z) = x \ a(x,y,z). [para(256868(a,1),335537(a,1,2)),rewrite([256868(8)])]. 338022 R(x \ 1,y,z) \ (x \ L(x \ R(x,y,z),u,w)) = R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)). [para(335537(a,1),304426(a,1,2)),rewrite([234285(5),323(3),49(4),304919(20),304487(16),173150(14),173188(13),62852(14)])]. 338140 T(x,y \ (y \ 1)) \ 1 = T(x \ 1,y \ (y \ 1)). [hyper(5142,a,248,a(flip),b,97923,a),rewrite([269900(5),276902(5),72446(10),72045(10)]),flip(a)]. 338675 (x \ a(y,z,a(u,w,v5))) * a(a(v6,v7,v8),v9,v10) = a(y,z,a(u,w,v5)) * (x \ a(a(v6,v7,v8),v9,v10)). [para(66271(a,1),7729(a,2,2)),rewrite([12981(5)])]. 338685 a(a(x,y,z),u,w) * (v5 * (v6 \ 1)) = v5 * (v6 \ a(a(x,y,z),u,w)). [para(66271(a,1),15015(a,2,2)),rewrite([28083(5),5530(3)])]. 338690 (x \ a(a(y,z,u),w,v5)) * a(a(v6,v7,v8),v9,v10) = a(a(y,z,u),w,v5) * (x \ a(a(v6,v7,v8),v9,v10)). [para(66271(a,1),7727(a,2,2)),rewrite([113538(5)])]. 338750 (x \ (y \ 1)) * a(a(z,u,w),v5,v6) = x \ (y \ a(a(z,u,w),v5,v6)). [para(66271(a,1),95099(a,1,2)),rewrite([22277(6)]),flip(a)]. 338817 R(x,y,a(a(z,u,w),v5,v6) * v7) = R(x,y,v7). [para(66271(a,1),217015(a,1,3)),rewrite([217831(4),218204(8)])]. 338886 R(x,y,z * (u * a(a(w,v5,v6),v7,v8))) = R(x,y,z * u). [back_rewrite(217888),rewrite([338817(8)])]. 338898 R(x,y,z * (a(a(u,w,v5),v6,v7) * v8)) = R(x,y,z * v8). [back_rewrite(217359),rewrite([338817(5)]),flip(a)]. 338911 R(x,y,(z \ a(a(u,w,v5),v6,v7)) * v8) = R(x,y,z * v8). [back_rewrite(217246),rewrite([338898(10)])]. 339013 a(x,y,z) \ R(a(x,y,z),u,w) = a(a(x,y,z),u,w). [hyper(5083,a,82094,a,b,338014,a),rewrite([31935(5),46613(11),70966(11),31864(8),7733(9),301320(9),12023(8),284679(7),272432(8),46613(8)])]. 339031 a(x,y,z) * (x \ 1) = x \ a(x,y,z). [hyper(5083,a,338014,a,b,44029,a),rewrite([54611(6),12463(9),15049(8),5754(9),73(2),75(2),74(2),104858(9),45350(7),54611(5),15174(6),11427(8),77(7),408(6),12463(7)])]. 339041 (K(x,y) / z) \ a(z,u,w) = z * (K(y,x) * a(z,u,w)). [hyper(5081,a,75801,a,b,338014,a),rewrite([12554(6),46613(6),43754(6),193507(6),31934(8),12554(9),46613(9),7725(8)])]. 339095 (1 / x) \ a(x,y,z) = x * a(x,y,z). [para(340(a,1),338014(a,1,1)),rewrite([12554(3),46610(3),12554(7),46610(7)]),flip(a)]. 339099 a(x,x,a(x,y,z)) = 1. [para(338014(a,1),353(a,1,1,2)),rewrite([51(3),48(4),323(3),50864(5)]),flip(a)]. 339104 (x \ a(y,z,a(u,w,v5))) * a(x,v6,v7) = a(y,z,a(u,w,v5)) * (x \ a(x,v6,v7)). [para(338014(a,1),8362(a,1,2)),rewrite([24886(12)]),flip(a)]. 339108 L(a(x,y,z),x,u) \ (u * (x \ a(x,y,z))) = u * (x \ 1). [para(338014(a,1),11664(a,1,2,2)),rewrite([28083(4),561(11)])]. 339115 a(x \ a(x,y,z),u,w) = a(x * a(x,y,z),u,w). [para(338014(a,1),12546(a,2,1)),rewrite([31945(6),46667(5)]),flip(a)]. 339133 ((x \ 1) * (a(x,y,z) * u)) / T(x \ a(x,y,z),u) = L(u,a(x,y,z),x). [para(338014(a,1),7336(a,1,2,1)),rewrite([26414(13)])]. 339134 (x \ a(x,y,z)) * L(u,a(x,y,z),x) = (x \ 1) * (a(x,y,z) * u). [para(338014(a,1),380(a,1,1)),rewrite([26414(6)])]. 339137 (x \ a(x,y,z)) * L(u,x,a(x,y,z)) = a(x,y,z) * ((x \ 1) * u). [para(338014(a,1),24258(a,1,1)),rewrite([28083(6),561(10)])]. 339166 a(x,y \ a(y,z,u),w) = a(x,a(y,z,u) * y,w). [para(338014(a,1),47597(a,2,2)),rewrite([50787(6),14782(4)]),flip(a)]. 339179 (x \ 1) * (R(x \ 1,y,z) * a(x,u,w)) = R(x \ 1,y,z) * (x \ a(x,u,w)). [para(338014(a,1),63041(a,1,2)),flip(a)]. 339186 a(x,y,z \ a(z,u,w)) = a(x,y,z * a(z,u,w)). [para(338014(a,1),72848(a,1,3))]. 339193 L(x,y,z \ a(z,u,w)) = L(x,y,z * a(z,u,w)). [para(338014(a,1),83104(a,1,3))]. 339196 L(x,y,L(a(z,u,w),v5,v6)) = L(x,y,a(z,u,w)). [para(338014(a,1),20234(a,1,3)),rewrite([339193(5),301337(4),209136(3),26414(7)])]. 339224 a(x * (y \ a(y,z,u)),w,v5) = a(x * (y * a(y,z,u)),w,v5). [para(338014(a,1),24885(a,2,1,2)),rewrite([28083(4),46976(7),24258(4),13786(5)]),flip(a)]. 339230 a(x * R(y,z,a(u,w,v5)),v6,v7) = a(y * x,v6,v7). [para(338014(a,2),47318(a,1,1,2)),rewrite([338014(5),339224(5),301335(3)])]. 339231 a(R(a(x,y,z),u,w),v5,v6) = a(a(x,y,z),v5,v6). [para(338014(a,1),20246(a,1,1)),rewrite([339115(5),301337(4),46610(7)])]. 339263 a(x,y,R(a(z,u,w),v5,v6)) = a(x,y,a(z,u,w)). [para(338014(a,2),192637(a,1,3)),rewrite([338014(6),339186(5),301337(4)])]. 339269 R(x,a(y,z,u),y) * (y \ a(y,z,u)) = (x * a(y,z,u)) * (y \ 1). [para(338014(a,1),203704(a,1,2)),rewrite([206104(4),561(11)])]. 339284 a(R(x,a(y,z,u),w),v5,v6) = a(x,v5,v6). [para(338014(a,1),218856(a,1,1)),rewrite([339115(4),301336(3),46610(6)])]. 339328 R(x \ (a(y,z,u) \ x),w,v5) * (a(y,z,u) * x) = a(a(y,z,u),w,v5) * x. [back_rewrite(294304),rewrite([339013(11)])]. 339341 (x * (y * z)) \ ((x * y) * (z * R(z \ L(z,y,x),u,w))) = a(a(x,y,z),u,w). [back_rewrite(272622),rewrite([339013(13)])]. 339402 (L(a(x,y,z),u,w) \ 1) \ L(v5,a(x,y,z),a(x,y,z)) = L(a(x,y,z),u,w) * v5. [hyper(5083,a,339196,a(flip),b,120583,a),rewrite([118297(4),150510(10),339196(10),193860(10),166133(6)])]. 339404 L(a(x,y,z),u,w) \ L(v5,a(x,y,z),a(x,y,z)) = (L(a(x,y,z),u,w) \ 1) * v5. [hyper(5083,a,339196,a(flip),b,61613,a),rewrite([150510(6),339196(6)])]. 339405 (L(a(x,y,z),u,w) \ 1) * v5 = v5 * (L(a(x,y,z),u,w) \ 1). [hyper(5083,a,339196,a(flip),b,61614,a(flip)),rewrite([310237(7),291952(6),150510(6),339196(6),339404(6)])]. 339422 L(x,y,a(L(z,u,w),v5,v5)) = L(x,y,a(z,v5,v5)). [para(102153(a,2),339196(a,1,3,1)),rewrite([102153(2),272898(2)])]. 339636 x * (a(x,y,a(z,u,w)) * v5) = R(x,y,a(z,u,w)) * v5. [para(339095(a,2),7732(a,1,1)),rewrite([339095(5),301335(3)]),flip(a)]. 339637 (x * a(x,y,z)) \ a(x,y,z) = x \ 1. [para(339095(a,1),411(a,1,2)),rewrite([75989(5),294582(5),339095(6)]),flip(a)]. 339644 a(x,y,a(z,u,w)) \ (x \ v5) = R(x,y,a(z,u,w)) \ v5. [para(339095(a,2),11964(a,1,1)),rewrite([339095(5),301335(3)]),flip(a)]. 339647 L(x,y,L(z,u,a(w,v5,v6))) = L(x,y,z). [para(339095(a,2),13059(a,1,3)),rewrite([339095(5),301335(3),209136(3)])]. 339657 L(x,R(y,z,a(u,w,v5)),v6) = L(x,y,v6). [para(339095(a,2),21231(a,1,2)),rewrite([339095(5),301335(3)])]. 339659 a(x,y,z) * (a(a(x,y,z),u,w) * v5) = R(a(x,y,z),u,w) * v5. [para(339095(a,2),7730(a,1,1)),rewrite([6706(3),294544(6),301337(4)]),flip(a)]. 339726 a(x * (y * R(z,u,a(w,v5,v6))),v7,v8) = a((z * y) * x,v7,v8). [para(339095(a,1),134028(a,1,1,2,2)),rewrite([301335(3),46510(10),46665(10)])]. 339762 a(a(x,y,z),u,w) * ((v5 * a(x,y,z)) * v6) = (v5 * R(a(x,y,z),u,w)) * v6. [para(339095(a,2),20189(a,1,1,2)),rewrite([6706(3),294544(6),301337(4)]),flip(a)]. 339783 L(a(x,y,z) \ L(a(x,y,z),u,w),v5,v6) \ 1 = L(a(x,y,z),u,w) \ a(x,y,z). [para(339095(a,1),307360(a,1,1,1)),rewrite([301337(4),6706(6),294544(9),301337(7),306585(6),6706(10),6706(14),165684(15)])]. 339926 R(x,y,a(z,u,w)) \ a(x,y,a(z,u,w)) = x \ 1. [hyper(295,a,12981,a,b,339637,a),rewrite([301335(5),12981(7)])]. 339927 R((x * a(x,y,z)) \ 1,x * a(x,y,z),a(x,y,z)) = a(x,y,z) \ (x \ 1). [hyper(7088,a,339637,a(flip),b,268782,a),rewrite([561(10)])]. 339928 a(a(x,y,z),u,w) \ (a(x,y,z) \ 1) = R(a(x,y,z),u,w) \ 1. [hyper(7088,a,339637,a(flip),b,66271,a),rewrite([301337(4),561(7)]),flip(a)]. 339933 (x \ 1) / (R(x,y,a(z,u,w)) \ 1) = a(x,y,a(z,u,w)). [hyper(5142,a,339637,a(flip),b,12981,a),rewrite([301335(5)])]. 339937 (R(x,a(y,z,u),w) \ 1) \ (x \ 1) = a(x,a(y,z,u),w). [hyper(5083,a,339637,a(flip),b,62164,a),rewrite([301336(3)])]. 340046 a(R(x,y,a(z,u,w)) * v5,v6,v7) = a(x * v5,v6,v7). [para(339637(a,1),47318(a,1,1,2)),rewrite([46639(4),301335(5)]),flip(a)]. 340065 a(L(R(x,y,a(z,u,w)),v5,v6) * v7,v8,v9) = a(v7 * L(x,v5,v6),v8,v9). [para(339637(a,1),158297(a,1,1,2,1)),rewrite([70574(5),301335(6)]),flip(a)]. 340294 (a(x,y,z) * ((x \ 1) * u)) \ ((x \ a(x,y,z)) * u) = a(a(x,y,z),x,u). [para(339031(a,1),54(a,1,2,1)),rewrite([50864(13)])]. 340311 a(x,R(y,z,a(u,w,v5)),v6) = a(x,y,v6). [para(339031(a,1),12186(a,1,2)),rewrite([339166(4),16568(3),50864(6)])]. 340321 a(R(x,y,a(z,u,w)),v5,v6) = a(x,v5,v6). [para(339031(a,1),13787(a,1,1)),rewrite([339115(4),301335(3),46610(6)])]. 340329 a(x,y,z) * ((x \ 1) * T(u,x \ a(x,y,z))) = L(u,x,a(x,y,z)) * (x \ a(x,y,z)). [para(339031(a,1),11786(a,1,2,2,2)),rewrite([28083(12),339031(14)])]. 340339 (a(x,y,z) * ((x \ 1) * u)) / T(x \ a(x,y,z),u) = L(u,x,a(x,y,z)). [para(339031(a,1),7336(a,1,2,1)),rewrite([28083(13)])]. 340396 a(x,a(y,z,u),y) * ((y \ a(y,z,u)) * x) = (y \ a(y,z,u)) * R(x,a(y,z,u),y). [para(339031(a,1),101962(a,1,2,1)),rewrite([72770(4),339031(10),206104(12)])]. 340453 R(a(x,y,z),x,u) \ (u * (x \ a(x,y,z))) = (x \ 1) * T(u,x \ a(x,y,z)). [para(339031(a,1),203630(a,1,2,2)),rewrite([206751(4),339031(12)])]. 340690 (x \ a(y,z,a(u,w,v5))) / x = x \ (a(y,z,a(u,w,v5)) / x). [para(12999(a,2),62146(a,2,2)),rewrite([198605(5),12999(11),212197(10)]),flip(a)]. 340695 a(x,y,a(z,u,w)) * ((v5 \ (1 / v6)) * v6) = (v5 \ v6) * (v6 \ a(x,y,a(z,u,w))). [para(168799(a,1),12999(a,1,1)),rewrite([7735(7),269784(7),12999(6),168970(12)]),flip(a)]. 340761 R(x,x \ (y \ 1),y) \ a(z,u,a(w,v5,v6)) = (x \ y) * (y \ a(z,u,a(w,v5,v6))). [back_rewrite(168970),rewrite([340695(14)])]. 340811 x \ (L(1 / x,y,z) \ 1) = L(x,y,z) \ x. [para(340(a,1),269343(a,1,1)),rewrite([306668(12),165684(12)])]. 340898 (x \ 1) * L(L(x,y,z) \ x,u,w) = x * L((1 / x) / L(x,y,z),u,w). [para(269343(a,1),131774(a,2,2,1)),rewrite([277235(8),277541(8),173301(8),335657(6)]),flip(a)]. 340945 x * L((1 / x) / L(x,y,z),u,w) = x \ L(L(x,y,z) \ x,u,w). [para(269343(a,1),303455(a,2,2,1)),rewrite([159097(6),324(5),48(5),340898(10)]),flip(a)]. 340948 L(L(x,y,z) \ 1,x,x) = 1 / L(x,y,z). [para(269343(a,1),330482(a,1,2)),rewrite([165983(5),27508(11),6687(9)])]. 340958 (x \ 1) * L(L(x,y,z) \ x,u,w) = x \ L(L(x,y,z) \ x,u,w). [back_rewrite(340898),rewrite([340945(12)])]. 340961 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [back_rewrite(165983),rewrite([340948(9)])]. 340962 T(L(x,y,z) \ 1,x * x) = 1 / L(x,y,z). [back_rewrite(165941),rewrite([340948(9)])]. 341011 (x \ 1) \ L(T(x,y),z,u) = x * L(T(x,y),z,u). [hyper(5142,a,81670,a(flip),b,96747,a),rewrite([93253(4),9510(6),7726(6),26653(5),52958(4),52958(3),235(3),49557(8)]),flip(a)]. 341066 L(R(x * L(x,y,z),u,w),x,x) = R(x * L(x,y,z),u,w). [para(81670(a,1),60829(a,1,1,1)),rewrite([28083(6),324(8)])]. 341069 (1 / x) \ L((x \ 1) \ 1,y,z) = x * L(x,y,z). [para(69340(a,1),81670(a,1,1)),rewrite([62149(18),337(14),81670(12)])]. 341357 ((x \ 1) \ 1) \ R(x,y,z) = x * R(1 / x,y,z). [para(174008(a,1),68073(a,1,2)),rewrite([62160(5),68101(6),50(5),265719(4)]),flip(a)]. 341387 (x \ 1) \ R(T(x,y),z,u) = x * R(T(x,y),z,u). [para(174008(a,1),95539(a,1,1)),rewrite([6332(4),7726(4),201843(3),149(2),61(7)]),flip(a)]. 341427 a(x,y,(z \ R(z,u,w)) * v5) = a(x,y,(z * R(z,u,w)) * v5). [para(174008(a,2),135952(a,2,3,1)),rewrite([265719(4),273639(6),174008(8)])]. 341463 R(x,L(y,z,u),y) = R(x,y,R(y,z,u)). [para(174008(a,2),212781(a,1,2)),rewrite([297487(3),174008(7),57(6),6332(4),948(3),49(4),215709(4)]),flip(a)]. 341566 R(x,y,R(y \ 1,z,u)) = R(x,y,R(y,z,u)). [back_rewrite(297884),rewrite([341463(6)])]. 341581 R(x,y,R(y,z,u)) * (L(y,z,u) \ y) = (x * (1 / L(y,z,u))) * y. [back_rewrite(250252),rewrite([341463(2)])]. 341593 (x * (1 / L(x,y,z))) \ ((u * (L(x,y,z) \ 1)) * x) = R(u,x,R(x,y,z)). [back_rewrite(206904),rewrite([341463(12)])]. 341597 R(x,y,R(y,z,u)) * (y * L(y \ K(w,v5),z,u)) = (x * L(y,z,u)) * (y \ K(w,v5)). [back_rewrite(206296),rewrite([341463(2)])]. 341600 R(x,y,R(y,z,u)) * (y * L(1 / y,z,u)) = (x * L(y,z,u)) * (1 / y). [back_rewrite(206157),rewrite([341463(2)])]. 341717 K(x,y * (z \ K(u,z))) = K(x,y / T(z,u)). [para(31865(a,1),232(a,1,2,2)),rewrite([91819(6)]),flip(a)]. 342543 (T(x,y) \ L(x,z,u)) * (x \ w) = (x \ L(x,z,u)) * (T(x,y) \ w). [hyper(295,a,50367,a,b,216287,a),rewrite([188068(4),64035(4),64035(7),292656(6)]),flip(a)]. 342564 (x * (L(y,z,u) * L(y \ 1,z,u))) * w = x * ((L(y,z,u) * L(y \ 1,z,u)) * w). [para(216287(a,1),6(a,1,1,2)),rewrite([342543(7),64035(6),307667(5),64035(11),64035(13),307667(12)])]. 342630 (((L(x,y,z) * L(x \ 1,y,z)) \ u) * w) \ v5 = (u * w) \ ((L(x,y,z) * L(x \ 1,y,z)) * v5). [para(216287(a,1),26221(a,1,1,1,1)),rewrite([342543(7),64035(6),307667(5),64035(13),64035(15),307667(14)])]. 342763 (x * (L(y,z,u) * L(y \ 1,z,u))) / w = x / (w / (L(y,z,u) * L(y \ 1,z,u))). [para(216287(a,1),179795(a,1,1,2)),rewrite([342543(7),64035(6),307667(5),64035(11),64035(13),307667(12)])]. 342765 ((L(x,y,z) * L(x \ 1,y,z)) \ u) \ w = u \ ((L(x,y,z) * L(x \ 1,y,z)) * w). [para(216287(a,1),23536(a,1,1,1)),rewrite([342543(7),64035(6),307667(5),64035(11),64035(13),307667(12)])]. 342794 (x / T(L(y,z,u) * L(y \ 1,z,u),w)) \ v5 = T(L(y,z,u) * L(y \ 1,z,u),w) * (x \ v5). [para(216287(a,1),154946(a,1,1,2,1)),rewrite([342543(7),64035(6),307667(5),64035(12),64035(14),307667(13)])]. 342826 (L(x,y,z) * L(x \ 1,y,z)) \ L(u,w,v5) = L((L(x,y,z) * L(x \ 1,y,z)) \ u,w,v5). [para(216287(a,1),25944(a,1,1)),rewrite([342543(7),64035(6),307667(5),64035(11),64035(13),307667(12)])]. 342906 ((L(x,y,z) * L(x \ 1,y,z)) \ u) * w = u * ((L(x,y,z) * L(x \ 1,y,z)) \ w). [para(306137(a,1),56946(a,1,2,1,2)),rewrite([254002(12),25190(8),307697(7),307694(7),292656(10),307697(13)])]. 342939 x / (L(y,z,u) * L(y \ 1,z,u)) = (L(y,z,u) * L(y \ 1,z,u)) \ x. [para(306137(a,1),33584(a,1,2,2)),rewrite([254002(12),25190(8),307697(6),292656(9),307677(12)]),flip(a)]. 342947 (x * ((L(y,z,u) * L(y \ 1,z,u)) \ w)) \ v5 = (x * w) \ ((L(y,z,u) * L(y \ 1,z,u)) * v5). [back_rewrite(342630),rewrite([342906(7)])]. 342950 (L(x,y,z) * L(x \ 1,y,z)) \ (u * w) = u * ((L(x,y,z) * L(x \ 1,y,z)) \ w). [back_rewrite(307694),rewrite([342906(14)])]. 342955 (x * (L(y,z,u) * L(y \ 1,z,u))) / w = x / ((L(y,z,u) * L(y \ 1,z,u)) \ w). [back_rewrite(342763),rewrite([342939(13)])]. 342961 x * ((L(y,z,u) \ y) * (L(y,z,u) \ y)) = (L(y,z,u) * L(y \ 1,z,u)) \ x. [back_rewrite(307677),rewrite([342939(12)])]. 343091 (L(x,y,z) * L(x,y,z)) * (x \ 1) = x * (L(x \ 1,y,z) * L(x,y,z)). [para(335598(a,1),101962(a,2,2)),rewrite([12554(5),46610(5),335604(3),180145(9),333508(7),64168(8),98306(5),335650(6)]),flip(a)]. 343097 (1 / x) * (1 / L(x,y,z)) = (x \ 1) / L(x,y,z). [para(335598(a,1),190931(a,1,1)),flip(a)]. 343098 x * (L(1 / x,y,z) * L(T(x,u),y,z)) = (x \ L(x,y,z)) * L(T(x,u),y,z). [para(335598(a,1),204280(a,1,1)),rewrite([60(5),99134(7),70237(11),60(11)])]. 343099 (x \ L(x,y,z)) * L(T(x,u),y,z) = L(x,y,z) * (x \ L(T(x,u),y,z)). [para(335598(a,1),205680(a,1,1)),rewrite([60(4),188588(6),99134(7),343098(7),60(9),71876(10),188354(10)])]. 343107 x * (L(x \ 1,y,z) * L(x,y,z)) = x * (L(x,y,z) * L(1 / x,y,z)). [para(335598(a,1),102241(a,2,2)),rewrite([180145(6),333508(4),12554(9),46610(9),335604(7),7726(8),26653(7),149(6),343099(7),98306(6),158808(6),343091(12)]),flip(a)]. 343116 (x * L(1 / x,y,z)) * L(x,y,z) = x * (L(x,y,z) * L(1 / x,y,z)). [back_rewrite(335650),rewrite([343107(12)])]. 343125 1 / (x * (L(x,y,z) * L(1 / x,y,z))) = ((x \ L(x,y,z)) * L(x,y,z)) \ 1. [back_rewrite(189673),rewrite([343107(7)])]. 343397 (x \ L(x,y,z)) * (x \ a(u,w,a(v5,v6,v7))) = L(x \ a(u,w,a(v5,v6,v7)),y,z). [hyper(5081,a,17060,a(flip),b,307607,a),rewrite([12879(8),12981(5)]),flip(a)]. 343413 x * ((y \ L(y,z,u)) * (y \ w)) = x * (w * L(w \ (y \ w),z,u)). [hyper(290,a,307607,a)]. 343493 K((x \ L(x,y,z)) * (x \ u),T(w,x)) = K(u * L((x \ u) / u,y,z),w). [para(307607(a,2),181(a,1,1)),rewrite([6174(8),27834(8),36703(8),26895(8),2533(11)])]. 343528 (x * (y \ L(y,z,u))) \ (L(y,z,u) * (y \ x)) = a(y,y * L(y,z,u),y \ x). [para(307607(a,1),353(a,1,1,2)),rewrite([70245(5),64099(11)])]. 343556 x * ((x \ L(x,y,z)) * (x \ u)) = u * (x \ L(x,y,z)). [para(307607(a,1),13288(a,1,2)),rewrite([292656(3),70245(5),188068(5)]),flip(a)]. 343580 (x * L(x \ (a(y,z,u) \ x),w,v5)) * a(y,z,u) = x * (a(y,z,u) \ L(a(y,z,u),w,v5)). [para(307607(a,1),19228(a,1,1)),rewrite([343556(16)])]. 343808 K((x \ L(x,y,z)) * (x \ u),w * K(x \ 1,u)) = K(u * L(u \ (x \ u),y,z),w). [para(307607(a,2),111106(a,1,1)),rewrite([6159(8),261187(7)])]. 343883 (x \ L(x,y,z)) * (x * L(1 / x,u,w)) = L(x,u,w) * L(1 / x,y,z). [para(149540(a,1),307607(a,1,2)),rewrite([82581(4),70237(4),149540(12),162681(14),160406(13),51(12)])]. 343905 (x \ L(x,y,z)) * (L(x,u,w) \ 1) = x \ (L(x,u,w) \ L(x,y,z)). [para(165661(a,1),307607(a,1,2)),rewrite([165661(13),207088(14),311340(12)])]. 343917 L(x \ y,x * L(x,z,u),x) = L(x,z,u) \ (y * (x \ L(x,z,u))). [para(307607(a,1),381(a,1,2,2)),rewrite([70245(6),82976(9)]),flip(a)]. 344040 (x * L(x,y,z)) * (x \ u) = u * L(u \ ((x \ 1) \ u),y,z). [para(307607(a,1),68800(a,1,2)),rewrite([303716(6),81670(10)]),flip(a)]. 344103 (x \ L(x,y,z)) * (L(x,u,w) \ x) = L(x,u,w) \ L(x,y,z). [para(269343(a,1),307607(a,1,2)),rewrite([304101(6),324(3),48(3),269343(17),165646(14),310175(13)])]. 344393 (x \ L(x,y,z)) * ((x \ 1) \ u) = (x * L(x,y,z)) * (x \ u). [hyper(5081,a,307607,a,b,344040,a),rewrite([304101(6),324(3),48(3)])]. 344730 L(x,y,z * L(z \ ((a(u,w,v5) \ 1) \ z),v6,v7)) = L(x,y,L(a(u,w,v5),v6,v7) * z). [para(344040(a,1),20235(a,1,3)),rewrite([158113(15)])]. 344755 T(x,y * L(y \ ((z \ 1) \ y),u,w)) = T(x,L(z,u,w) * y). [para(344040(a,1),92240(a,2,2)),rewrite([305149(4),60848(7),51(5),60848(5),324(4)]),flip(a)]. 344939 (x * L(x,y,z)) * (x \ R(x \ 1,u,w)) = L(x,y,z) * R(x \ 1,u,w). [para(256863(a,2),344040(a,2,2,1,2)),rewrite([256863(19),272488(19),324(16),48(16),272557(16),102773(15)])]. 344992 (x \ L(x,y,z)) * (x * R(1 / x,u,w)) = R(x,u,w) * L(1 / x,y,z). [para(174008(a,1),344040(a,1,2)),rewrite([62149(6),248683(7),265719(6),341357(15),302204(14)])]. 345237 L(x \ R(x,y,z),x,L(x,u,w)) = x \ R(x,y,z). [para(344393(a,1),257648(a,1,1)),rewrite([344939(7),293004(8),64201(8),272488(6),324(3),48(3),272488(10),324(7),48(7)])]. 345331 L(L(x \ R(x,y,z),u,w),L(x,u,w),L(L(x,v5,v6),u,w)) = L(x \ R(x,y,z),u,w). [hyper(5081,a,27503,a(flip),b,345237,a),rewrite([63(6),26458(7),201268(6),5784(5),272623(4),63(10),272623(11),11961(9),201268(8),5784(7),28434(14),28012(12)]),flip(a)]. 345344 a(x,y,z) * (u * a(a(x,y,z),w,v5)) = u * R(a(x,y,z),w,v5). [para(345237(a,2),19228(a,1,1,2)),rewrite([339013(4),339196(6),266193(5),7730(5),20089(4),339013(8)]),flip(a)]. 345396 (x \ R(x,y,z)) * (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) = L(x \ R(x,y,z),u,w). [para(345237(a,1),310598(a,1,2,1)),rewrite([323(8),49(5),345237(9),304101(11),62852(11)]),flip(a)]. 345397 L(x \ R(x,y,z),u,w) \ (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) = (x \ R(x,y,z)) \ 1. [para(345237(a,1),310368(a,1,2,1)),rewrite([304101(9),62852(9),345237(14)])]. 345465 ((x \ 1) \ ((y * x) \ y)) * (L(x,z,u) \ x) = L(x,z,u) \ L(x,x,y). [para(12004(a,1),344103(a,1,1,2)),rewrite([165684(11),310595(15)])]. 345489 R(x \ L(x,y,z),x \ L(x,u,w),v5) * ((L(x,u,w) \ x) * v5) = (L(x,u,w) \ L(x,y,z)) * v5. [para(344103(a,1),401(a,2,1)),rewrite([306162(5)])]. 345579 ((x \ y) \ 1) \ (y \ x) = (x \ y) * (y \ x). [hyper(7088,a,60487,a(flip),b,343397,a),rewrite([304101(5),24263(4),50(5),80272(8),60848(7),49(5),296959(5),16922(11),16922(12),60187(12)]),flip(a)]. 345581 T(a(x,y,a(z,u,w)) \ v5,v5 \ (v5 \ 1)) = 1 / (a(x,y,a(z,u,w)) / v5). [hyper(7088,a,343397,a,b,170410,a),rewrite([335207(11),340690(7),123007(8),28101(18),28098(16),65068(17),66917(21),199306(20),64723(18),199307(12)])]. 345595 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(5142,a,60487,a(flip),b,343397,a),rewrite([16922(4),17628(9),210749(9),304101(10),24263(9),50(10)])]. 345647 L(x,(y * L(y,z,u)) * L(y \ 1,z,u),w) = L(x,y,w). [para(343397(a,1),25754(a,1,2,2)),rewrite([308798(8),304852(7),83146(15),82976(15),78982(16),308980(12)])]. 345683 1 / (a(x,y,a(z,u,w)) / v5) = (v5 \ a(x,y,a(z,u,w))) \ 1. [para(343397(a,2),80817(a,1,2)),rewrite([26566(8),28101(5),28098(3),65068(4),66917(8),199306(7)])]. 345684 L(x \ R(x,y \ L(y,z,u),y * a(w,v5,a(v6,v7,v8))),x,L(y,z,u)) = a(x,y * L(y,z,u),y). [para(343397(a,1),256868(a,1,3)),rewrite([217240(6),84892(12),72823(15),64099(12)])]. 345696 (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). [back_rewrite(311758),rewrite([345579(12)])]. 345700 T(a(x,y,a(z,u,w)) \ v5,v5 \ (v5 \ 1)) = (v5 \ a(x,y,a(z,u,w))) \ 1. [back_rewrite(345581),rewrite([345683(12)])]. 345725 (T(x,y) \ z) * (z \ T(x,y)) = (x \ z) * (z \ x). [hyper(5081,a,11267,a,b,345579,a),rewrite([96812(6),562(5),296959(5),345579(10)]),flip(a)]. 345741 (1 / (x \ y)) * (y \ x) = (x \ y) \ (y \ x). [hyper(5083,a,345579,a(flip),b,68073,a),rewrite([22473(7),22924(5)])]. 345745 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [para(50(a,1),345579(a,1,1,1)),rewrite([50(7)])]. 345752 ((x \ y) * (y \ x)) * ((x \ y) \ 1) = y \ x. [para(345579(a,1),165(a,2,2,1)),rewrite([345595(5),296959(4),296959(14),66975(14),345741(13),51(12)])]. 345757 T(x \ y,y \ x) * (y \ x) = (y \ x) * (x \ y). [para(345579(a,2),203(a,2,2,1)),rewrite([345579(11),147(11),71642(11),345696(12)])]. 345764 (x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)). [para(340(a,1),345579(a,1,1,1)),rewrite([340(7)])]. 345769 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(345579(a,1),411(a,1,2)),rewrite([293143(7),345579(8)]),flip(a)]. 345775 L((x \ y) * (y \ x),x \ y,y) = (y * ((x \ y) \ 1)) \ x. [para(345579(a,1),11892(a,1,1)),rewrite([28083(7)])]. 345803 L(x,(y \ z) \ (z \ y),u) = L(x,(y \ z) * (z \ y),u). [para(345579(a,1),34030(a,2,2)),rewrite([68875(7),26514(5)])]. 345826 T(x,y \ (z * (((y \ z) \ 1) * u))) = T(x,y \ (z * ((y \ z) \ u))). [para(345579(a,1),60848(a,1,2,1)),rewrite([12024(5),60848(5),60848(12)]),flip(a)]. 345829 ((x \ y) * (y \ x)) * z = z * ((x \ y) * (y \ x)). [para(345579(a,1),61907(a,1,1)),rewrite([324(8),293143(7),345579(9)])]. 345835 (((x \ y) \ 1) \ 1) \ (y \ x) = ((x \ y) \ 1) * (y \ x). [para(345579(a,1),68073(a,1,2)),rewrite([62160(7),66085(5),71063(9),50(8)]),flip(a)]. 345837 a((x \ y) \ (y \ x),z,u) = a((x \ y) * (y \ x),z,u). [para(345579(a,1),68848(a,1,1)),flip(a)]. 345850 (x \ y) * ((y \ x) * (x \ y)) = (x * ((x \ y) \ 1)) \ x. [para(345579(a,1),81194(a,1,2)),rewrite([111776(4),241(7),345757(6),279868(10)])]. 345863 x / ((x \ y) * (y \ x)) = R(x,x \ y,y \ x). [para(345579(a,2),398(a,2,2)),rewrite([51(5),345579(8)]),flip(a)]. 345924 x / ((y \ z) * (z \ y)) = ((y \ z) * (z \ y)) \ x. [para(345579(a,1),61910(a,1,2,1)),rewrite([60848(10),345826(10),296959(8),345579(9)])]. 345955 ((x \ y) * (y \ x)) \ T(y \ x,z) = T((x \ y) \ 1,z). [para(345579(a,1),175903(a,1,2)),rewrite([345924(6),10572(12)])]. 345967 (x * (y \ z)) / L(y \ z,y \ z,y) = (x * ((y \ z) \ 1)) / (z \ y). [para(345579(a,1),204224(a,1,2)),rewrite([345595(5),345924(4),206104(11),296234(9)])]. 345987 (L(x * L(x,y,z),u,w) \ (x * L(x,y,z))) * (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = 1. [para(173480(a,1),345579(a,1,2)),rewrite([304759(8),173480(6),323(13),173480(13)]),flip(a)]. 345989 ((x \ y) \ (y \ x)) * (x \ y) = L(y \ x,x \ y,x \ y). [para(345579(a,2),278051(a,1,2,1)),rewrite([345579(8),296959(8),22934(7),345741(9)]),flip(a)]. 345997 ((x \ y) \ 1) \ (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). [para(345579(a,1),282203(a,1,1,1)),rewrite([345752(7),337(6),206104(14),206751(12),257073(10)]),flip(a)]. 346004 L(x \ y,y \ x,y \ x) = ((x \ y) \ 1) \ 1. [para(345579(a,1),330482(a,1,2)),rewrite([22934(7),60845(9),49(7),2045(9),71642(9)])]. 346014 ((x \ y) * (y \ x)) * ((y \ x) \ ((x \ y) \ 1)) = 1. [para(345579(a,1),345579(a,1,1,1)),rewrite([307734(5),323(11),345579(6)]),flip(a)]. 346016 (x * ((y * x) \ y)) * (L(x,z,u) \ x) = L(x,z,u) \ L(x,x,y). [back_rewrite(345465),rewrite([345745(5)])]. 346044 ((x \ y) * (y \ x)) \ x = R(x,x \ y,y \ x). [back_rewrite(345863),rewrite([345924(4)])]. 346050 ((x \ y) \ (y \ x)) * (x \ y) = ((y \ x) \ 1) \ 1. [back_rewrite(345989),rewrite([346004(9)])]. 346088 (x * (y \ (y / x))) \ (y \ (y / x)) = x \ 1. [para(340(a,1),345769(a,1,1,1)),rewrite([340(8)])]. 346089 ((x \ (x / y)) * y) \ y = (x \ (x / y)) \ 1. [para(340(a,1),345769(a,1,1,2)),rewrite([340(5)])]. 346276 a(x,y,z) \ a(a(x,y,z),a(x,y,z),u) = u \ (a(x,y,z) \ u). [para(345769(a,2),292836(a,1,1)),rewrite([6743(6),101346(5),294327(5),6743(6),168790(7),338014(7)])]. 346283 ((x \ (R(x,y,z) \ 1)) * (x * R(x,y,z))) \ (x * R(x,y,z)) = (x \ (R(x,y,z) \ 1)) \ 1. [para(174008(a,1),345769(a,1,1,2)),rewrite([63590(4),174008(11),63590(14)])]. 346286 (((x \ y) \ (y \ x)) * ((y \ x) \ (x \ y))) \ ((y \ x) * (x \ y)) = ((x \ y) \ ((y \ x) \ 1)) \ 1. [para(345579(a,1),345769(a,1,1,2)),rewrite([269844(9),345741(8),345579(12)])]. 346300 T(T(x \ (y \ 1),y * x),y * x) = x \ (y \ 1). [hyper(7088,a,68800,a,b,345757,a),rewrite([60848(7),324(6),60848(9),324(8),68800(17),50(18)])]. 346316 x \ (y \ K(y \ x,x \ y)) = T(x \ (y \ 1),y * x). [hyper(5142,a,68800,a,b,345757,a),rewrite([68800(7),147(11),60842(10),324(6),91579(8),95645(7),60848(12),324(11)])]. 346405 T(x \ y,y \ x) * ((y \ x) * z) = (y \ x) * ((x \ y) * z). [para(345757(a,1),11786(a,1,2,2,2)),rewrite([293143(8),25262(11),345757(14),295963(13)])]. 346417 (x \ y) * (T(y \ x,x \ y) * z) = (y \ x) * ((x \ y) * z). [para(345757(a,1),380(a,1,1)),rewrite([25262(8),24258(7),346405(12)])]. 346431 (((x \ y) \ 1) \ 1) * ((y \ x) * (x \ y)) = (x \ y) * ((x \ y) * (y \ x)). [para(345757(a,1),32795(a,2,2)),rewrite([147(5),71642(5)])]. 346432 (((x \ y) \ 1) \ 1) * ((y \ x) * z) = (y \ x) * ((x \ y) * z). [para(345757(a,2),32795(a,1,1,1)),rewrite([345757(5),147(5),71642(5),346417(14)])]. 346449 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [para(345757(a,1),12004(a,2,1)),rewrite([25262(8),345955(13),66904(11)])]. 346450 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [para(345757(a,2),12004(a,2,1)),rewrite([346449(6),345757(8)]),flip(a)]. 346455 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(345757(a,2),59166(a,2,1)),rewrite([346449(6),345757(10),60848(12),49(10),296959(10)])]. 346463 (1 / (x \ y)) \ ((y \ x) * (x \ y)) = (x * ((x \ y) \ 1)) \ x. [para(345757(a,1),67715(a,1,2)),rewrite([115269(5),41657(14),115294(13),279868(12)])]. 346469 a(x,y,(z \ u) \ (u \ z)) = a(x,y,(u \ z) * (z \ u)). [para(345757(a,1),72848(a,2,3)),rewrite([115269(5),345741(5)])]. 346486 R((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [para(345757(a,1),94500(a,2,2)),rewrite([71899(5),204513(8),345924(11),346450(11)])]. 346538 L(x \ y,x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(345757(a,1),89885(a,1,1,1)),rewrite([345955(7),66904(5),211798(7),71337(5),25262(11)]),flip(a)]. 346601 (((x * R(x,y,z)) \ 1) \ 1) * (x \ (R(x,y,z) \ 1)) = (x \ (R(x,y,z) \ 1)) * (x * R(x,y,z)). [para(174008(a,1),345757(a,1,1,1)),rewrite([63590(6),59558(7),11009(2),948(5),63590(10),63590(15),174008(19)])]. 346604 ((x \ y) \ (y \ x)) * ((y \ x) \ (x \ y)) = 1. [para(345579(a,1),345757(a,1,1,1)),rewrite([60848(9),101277(9),307734(5),65068(13),60845(13),49(11),345579(10),293969(9),345579(11),269844(10),345741(9)]),flip(a)]. 346611 (x \ y) * ((x \ y) * (y \ x)) = L(x \ y,x \ y,x). [back_rewrite(346431),rewrite([346432(9),170410(5)]),flip(a)]. 346617 ((x \ y) \ ((y \ x) \ 1)) \ 1 = (y \ x) * (x \ y). [back_rewrite(346286),rewrite([346604(7),324(5)]),flip(a)]. 346629 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [para(50(a,1),346450(a,1,1,1)),rewrite([50(5)])]. 346834 1 / (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(x * L(x,y,z),u,w) \ (x * L(x,y,z)). [para(173480(a,1),346450(a,1,1,2)),rewrite([345987(13),324(8),173480(13)]),flip(a)]. 346933 (1 / x) \ (((y * x) \ y) * x) = (y * (x \ 1)) \ y. [para(50(a,1),346463(a,1,1,2)),rewrite([50(6),50(8)])]. 347313 ((x \ y) * (y \ x)) \ K(z,u) = (y \ x) \ ((x \ y) \ K(z,u)). [hyper(5142,a,345924,a,b,31701,a),rewrite([345924(5),307734(5),9510(7),95645(7)]),flip(a)]. 347350 K(x,y) * ((z \ u) \ ((u \ z) \ 1)) = (z \ u) \ ((u \ z) \ K(x,y)). [hyper(295,a,75459,a,b,345924,a),rewrite([345924(6),307734(6),347313(12)])]. 347387 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [para(50(a,1),345924(a,1,2,1)),rewrite([50(6)])]. 347395 x / (y * (z \ (z / y))) = (y * (z \ (z / y))) \ x. [para(340(a,1),345924(a,1,2,1)),rewrite([340(6)])]. 347418 (x \ L(x,x,y)) \ z = (x * ((y * x) \ y)) \ z. [para(12004(a,2),345924(a,1,2,2)),rewrite([50(2),69933(4),293004(3),50(5)])]. 347457 T(x,((y \ z) * (z \ y)) * u) = T(x,(y \ z) * ((z \ y) * u)). [para(345924(a,1),92240(a,1,2,1)),rewrite([307734(5),60848(7),60848(7),324(6)]),flip(a)]. 347510 R(x,(y \ z) \ ((z \ y) \ 1),u) = R(x,(z \ y) * (y \ z),u). [para(345924(a,2),206751(a,1,2)),rewrite([345924(5),307734(5)])]. 347540 (x * ((y * x) \ y)) \ y = R(y,x,(x * y) \ y). [back_rewrite(223374),rewrite([347387(4)])]. 347596 L(((x \ y) \ 1) \ 1,x \ y,y \ x) = x \ y. [hyper(7088,a,345829,a,b,241,a(flip)),rewrite([88621(6),293143(5),266818(11),64258(10),170899(8)]),flip(a)]. 347638 ((x \ 1) \ y) * (y \ (x \ 1)) = (x \ y) * (y \ x). [hyper(5142,a,68800,a(flip),b,345829,a),rewrite([72446(7),172565(6),61746(5)])]. 347740 T((x \ y) \ ((y \ x) \ K((y \ x) * ((x * ((x \ y) \ 1)) \ x),z)),z) = (x \ y) \ ((y \ x) \ 1). [hyper(5083,a,345829,a,b,50481,a),rewrite([347457(8),345850(6),69321(20),307734(13),104922(15),347350(14),345924(18),307734(18)])]. 347898 T((x \ y) * (1 / (y \ x)),y \ x) = (y \ x) \ T(x \ y,y \ x). [hyper(7088,a,345829,a(flip),b,202072,a),rewrite([36711(9),36300(9),115174(8),66975(17),345741(16),51(15),194(12)])]. 347968 (x * ((y \ z) * (z \ y))) / ((z \ y) * x) = R(y \ z,z \ y,x). [hyper(5142,a,345829,a(flip),b,401,a)]. 348516 (x \ y) \ (((y \ x) \ 1) \ 1) = (y \ x) * ((x \ y) \ 1). [hyper(5083,a,347968,a(flip),b,72446,a(flip)),rewrite([257073(5),72446(14),61746(13)])]. 348681 (((x \ y) \ 1) \ 1) * (1 / (y \ x)) = (x \ y) * ((y \ x) \ 1). [para(347968(a,2),282203(a,2,2)),rewrite([346050(5),345850(15),172565(19),278130(19),170557(15),348516(16)])]. 348695 R((x \ y) * (y \ x),(x \ y) * (y \ x),z) = z / (((y \ x) \ ((x \ y) \ 1)) * z). [para(345579(a,1),347968(a,1,1,2,1)),rewrite([346014(9),49(2),345579(12),347510(16)]),flip(a)]. 348749 R(a(x,y,z) \ u,a(x,y,z),u \ (a(x,y,z) \ u)) = (a(x,y,z) \ 1) * u. [para(6743(a,1),346044(a,1,1,1)),rewrite([294327(5),135699(6),28098(5),6743(9)]),flip(a)]. 349016 T((x \ (x / y)) * y,K(x,z)) = (x \ (x / y)) * y. [para(340(a,1),345725(a,2,2)),rewrite([96793(6),95621(6)])]. 349392 a(x,y,x * L(x,z,u)) = 1. [hyper(7049,a,102113,a,b,112220,a(flip)),rewrite([303935(5),64035(8),309551(9)])]. 349543 (x \ L(x,y,z)) * (x * u) = x * (u * (x \ L(x,y,z))). [hyper(5081,a,112220,a(flip),b,102113,a),rewrite([303935(5),64035(8)]),flip(a)]. 349595 (x \ L(x,y,z)) \ (x * (L(x,y,z) \ R(x \ L(x,y,z),u,w))) = R(L(x,y,z) \ x,u,w). [hyper(7088,a,272385,a(flip),b,102113,a(flip)),rewrite([305132(4),292656(6),272488(11),158527(11),284497(11),306172(11)]),flip(a)]. 349606 L(x \ L(x,y,z),u,w) \ (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(x,y,z) \ x. [hyper(7088,a,102113,a(flip),b,98289,a),rewrite([305132(4),6174(6),292656(5),293004(9),305132(9),306066(11)]),flip(a)]. 349687 (((x \ L(x,y,z)) * u) * w) / ((x \ L(x,y,z)) * w) = R(u,x \ L(x,y,z),w). [para(102113(a,2),57(a,1,1,1))]. 349706 (x * (y * (x \ L(x,z,u)))) \ (L(x,z,u) * y) = a(x,x * L(x,z,u),y). [para(102113(a,1),353(a,1,1,2)),rewrite([64099(10)])]. 349730 L(a(x,y,z),u * L(u,w,v5),v6) * (v6 * (u \ L(u,w,v5))) = v6 * (a(x,y,z) * (u \ L(u,w,v5))). [para(102113(a,1),15015(a,2,2)),rewrite([82976(4)])]. 349737 a(x,y,z) * ((a(x,y,z) \ u) * (w \ L(w,v5,v6))) = a(x,y,z) * ((w \ L(w,v5,v6)) * (a(x,y,z) \ u)). [para(102113(a,1),19228(a,1,1)),rewrite([15038(7)])]. 349785 K(x,y \ ((z \ L(z,u,w)) \ v5)) = K(x,z * (L(z,u,w) \ (y \ v5))). [para(102113(a,1),12016(a,1,2,1)),rewrite([12016(5),60845(5),162681(4)]),flip(a)]. 349797 (T(x,y) * (z \ L(z,u,w))) / x = z * L(z \ K(x,y),u,w). [para(102113(a,1),41546(a,1,1)),rewrite([70411(9)])]. 349874 T(x,(y / z) * L(z,u,w)) = T(x,y * (z \ L(z,u,w))). [para(102113(a,1),92240(a,2,2)),rewrite([293004(4),305132(4),60848(4),158527(3)])]. 349899 (x * y) / T((z \ L(z,u,w)) * x,z * (L(z,u,w) \ y)) = (x * (z \ L(z,u,w))) \ (x * y). [para(102113(a,1),112107(a,2,1)),rewrite([60848(8),162681(7)])]. 349913 (x \ 1) * (y * (x \ L(x,z,u))) = x * ((x \ L(x \ 1,z,u)) * y). [para(102113(a,1),134854(a,1,2)),rewrite([304101(8),324(5),48(5)])]. 349942 x * (L(x,y,z) \ (u * (x \ L(x,y,z)))) = L(u,x * L(x,y,z),x). [para(102113(a,1),381(a,1,2,2)),rewrite([162681(6),82976(9)])]. 349953 x \ L(K(y,z) * (u \ L(u,w,v5)),v6,v7) = (x \ L(u \ L(u,w,v5),v6,v7)) * K(y,z). [para(102113(a,1),95634(a,1,2,1))]. 350025 (x * L(x \ (y * y),z,u)) / w = (y * y) * ((x \ L(x,z,u)) / w). [para(102113(a,2),231281(a,1,1)),rewrite([150500(4)])]. 350146 R(x \ 1,y,z) * L(x,u,w) = R(x,y,z) * L(1 / x,u,w). [back_rewrite(344992),rewrite([349543(7),69932(7)])]. 350149 L(x \ 1,y,z) * L(x,u,w) = L(x,y,z) * L(1 / x,u,w). [back_rewrite(343883),rewrite([349543(7),158331(7)])]. 350224 K(x,y * (L(y,z,u) \ (T(y,w) \ v5))) = K(x,L(T(y,w),z,u) \ v5). [back_rewrite(266725),rewrite([349785(6)])]. 350263 L(x,y,z) * (T(x,u * (x \ L(x,y,z))) \ u) = T((u / x) * L(x,y,z),x). [back_rewrite(159742),rewrite([349874(5)])]. 350279 (L(x,y,z) * u) / T(x,u * (x \ L(x,y,z))) = (u / x) * L(x,y,z). [back_rewrite(158757),rewrite([349874(6)])]. 350312 (L(x,y,z) * L(1 / x,y,z)) * (1 / x) = L(x,y,z) * (x \ L(x \ 1,y,z)). [back_rewrite(311923),rewrite([350149(5)])]. 350313 (L(x \ 1,y,z) \ 1) \ L(x,u,w) = L(x,y,z) * L(1 / x,u,w). [back_rewrite(311844),rewrite([350149(12)])]. 350346 T((x * y) / x,x * (y \ L(y,z,u))) = L(y,x,y * L(y,z,u)). [hyper(7088,a,349543,a,b,32795,a),rewrite([410(13),143267(14),292824(9),48(8),83146(9)])]. 350483 (x \ L(x,y,z)) \ (x * ((x \ L(T(x,u),y,z)) * w)) = T(x,u) * w. [hyper(5083,a,7753,a,b,349543,a),rewrite([64035(4),64035(7),309218(7)])]. 350524 x \ ((x \ L(x,y,z)) * u) = (x \ u) * (x \ L(x,y,z)). [hyper(5083,a,349543,a,b,134854,a(flip)),rewrite([304101(6),324(3),48(3),51(8),304101(11),324(8),48(8)])]. 350539 L(x \ L(x,y,z),u,w) * L(x * (v5 * v5),u,w) = L(L(x * (v5 * v5),u,w),y,z). [hyper(5081,a,49326,a,b,349543,a),rewrite([305327(7),49326(7),25954(6),307792(7),305327(8),25958(10)]),flip(a)]. 350548 (x \ L(x,y,z)) * (T(x,u) * w) = x * ((x \ L(T(x,u),y,z)) * w). [hyper(5081,a,7753,a,b,349543,a),rewrite([64035(5),309218(5),64035(9)]),flip(a)]. 350553 x * ((x \ y) * (x \ L(x,z,u))) = (x \ L(x,z,u)) * y. [hyper(5081,a,134854,a(flip),b,349543,a),rewrite([304101(7),324(4),48(4),304101(11),324(8),48(8),51(13)])]. 350559 x * (T(y,x) * (x \ L(x,z,u))) = (x \ L(x,z,u)) * (y * x). [hyper(5081,a,32795,a(flip),b,349543,a),rewrite([304580(7),24474(6),323(2),69933(5),50(5),304580(11),24474(10),323(6),69933(9),50(9),53(10)])]. 350578 L(x,y,y * L(y,z,u)) * L(y,z,u) = (y \ L(y,z,u)) * (x * y). [hyper(295,a,11786,a(flip),b,349543,a),rewrite([83146(3),188207(6),188207(8),6174(7),350559(10)])]. 350618 L(x,y * L(y,z,u),y) = L(x,y,y * L(y,z,u)). [hyper(5083,a,349543,a(flip),b,76184,a),rewrite([304580(6),324(3),48(3),202724(5),304580(11),324(8),48(8),162681(10),162842(10),162882(10),349942(6),304580(9),324(6),48(6),83146(6)])]. 350623 (x \ L(x,y,z)) * (a(u,w,v5) * x) = x * (a(u,w,v5) * (x \ L(x,y,z))). [hyper(5081,a,15015,a,b,349543,a(flip)),rewrite([83146(4),188207(7),350578(6)])]. 350626 a(x * L(x,y,z),x,u) = a(x,x * L(x,y,z),u). [para(349543(a,1),54(a,1,1)),rewrite([188207(7),349706(7),64094(6)]),flip(a)]. 350721 a((x * L(x,y,z)) * (x * u),w,v5) = a(x * (u * (x \ L(x,y,z))),w,v5). [para(349543(a,1),46633(a,2,1)),rewrite([305132(4),165470(5)])]. 350763 a(x,y,(z * L(z,u,w)) * (z * v5)) = a(x,y,z * (v5 * (z \ L(z,u,w)))). [para(349543(a,1),72848(a,2,3)),rewrite([305132(4),165286(5)])]. 350828 a((x * y) * (x * L(x,z,u)),w,v5) = a(x * (y * (x \ L(x,z,u))),w,v5). [para(349543(a,1),46639(a,2,1)),rewrite([305132(5),165195(5)])]. 350870 x * L(y,x,x * L(x,z,u)) = L(x * y,x,x * L(x,z,u)). [para(349543(a,1),381(a,1,2,2)),rewrite([162681(7),162681(6),349942(6),350618(3),82976(8),350618(8)])]. 350909 (L(x,y,z) * L(x \ 1,y,z)) \ (x \ u) = ((x \ L(x,y,z)) * L(x,y,z)) \ u. [para(349543(a,2),20865(a,1,1)),rewrite([51(5),307667(10)]),flip(a)]. 350920 L(x,y,z) * L(x * L(x,u,w),y,z) = L(L(x * (x * x),y,z),u,w). [para(173671(a,1),349543(a,2,2)),rewrite([305327(4),158808(6),13654(5),25976(6),350539(7),305907(11)]),flip(a)]. 350960 x * ((x \ L(x \ 1,y,z)) * (L(x \ 1,u,w) \ v5)) = x * ((L(x,u,w) \ v5) * (x \ L(x,y,z))). [para(162882(a,1),349543(a,1,2)),rewrite([304101(6),324(3),48(3),349543(6),304101(18),324(15),48(15),349913(16)]),flip(a)]. 350965 (x \ L(x,y,z)) * L(x,u,w) = L(x,y,z) * (x \ L(x,u,w)). [para(307607(a,1),349543(a,2,2)),rewrite([51(5),311316(9),323(8),162271(10)])]. 351010 x * (L(x,y,z) \ (u * (x \ L(x,y,z)))) = L(u,x,x * L(x,y,z)). [back_rewrite(349942),rewrite([350618(9)])]. 351014 L(x \ y,x,x * L(x,z,u)) = L(x,z,u) \ (y * (x \ L(x,z,u))). [back_rewrite(343917),rewrite([350618(4)])]. 351037 x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) = L(u,x,x * L(x,y,z)). [back_rewrite(170333),rewrite([350618(9)])]. 351076 (L(x,y,z) * L(x \ 1,y,z)) \ (x \ u) = (L(x,y,z) * (x \ L(x,y,z))) \ u. [back_rewrite(350909),rewrite([350965(11)])]. 351093 1 / (x * (L(x,y,z) * L(1 / x,y,z))) = (L(x,y,z) * (x \ L(x,y,z))) \ 1. [back_rewrite(343125),rewrite([350965(12)])]. 351380 a(x,y,z * ((z \ L(T(z,u),w,v5)) * v6)) = a(x,y,(z * v6) * (L(z,w,v5) \ z)). [para(350548(a,1),72848(a,2,3)),rewrite([305132(4),136127(6)]),flip(a)]. 351394 L(x,y,(a(z,u,w) \ v5) * (a(z,u,w) * L(a(z,u,w),v6,v7))) = L(x,y,v5 * L(a(z,u,w),v6,v7)). [para(350548(a,2),83407(a,2,3)),rewrite([547(4),350524(7),85383(8),547(14),349543(15),218950(16)])]. 351438 a(x,y,(z * L(z,u,w)) * (v5 * z)) = a(x,y,(z * v5) * (L(z,u,w) \ z)). [para(350548(a,1),136137(a,2,3)),rewrite([150455(5),136599(6),136013(5),351380(11)])]. 351441 a(x,y,(z * u) * (L(z,w,v5) \ z)) = a(x,y,z * ((z \ L(z,w,v5)) * u)). [para(350548(a,2),136137(a,2,3)),rewrite([258960(5),77977(6),250079(5),188068(2),350548(10),351380(11)]),flip(a)]. 351543 a(x,y,(z * L(z,u,w)) * (v5 * z)) = a(x,y,z * ((z \ L(z,u,w)) * v5)). [back_rewrite(351438),rewrite([351441(10)])]. 351860 (x \ L(x,y,z)) \ (u * L(x,y,z)) = R(u / (1 / x),x,L(x,y,z)). [para(64063(a,1),204224(a,1,1,2)),rewrite([311316(7),323(6),206751(7),293004(10)]),flip(a)]. 352197 ((x \ 1) * y) \ L(x \ 1,z,u) = (x * y) \ L(x,z,u). [para(160420(a,1),26452(a,1,3)),rewrite([26414(6),11892(4),293004(9),160420(9)]),flip(a)]. 352307 L((x \ R(x,y,z)) \ 1,x,L(x,u,w)) = (x \ R(x,y,z)) \ 1. [para(345237(a,1),160420(a,1,1,2)),rewrite([323(5),324(8)])]. 352506 (x \ T(y * x,z)) \ T(y,x) = K(z,y * x). [hyper(5083,a,58,a(flip),b,60348,a)]. 352599 T(x,y * (z \ K(u,T(w,v5)))) = T(x,y * (z \ K(u,w))). [para(60348(a,1),3044(a,1,2,2)),rewrite([2598(6)]),flip(a)]. 352999 (L(x,y,z) \ T(u * L(x,y,z),w)) \ T(u,x) = K(w,u * L(x,y,z)). [para(6174(a,1),352506(a,1,2))]. 353165 T(x * K(x * y,z),T(y,z)) = y \ T(x * y,z). [para(352506(a,1),3850(a,1,1,2)),rewrite([97737(6),58(4),240711(4),352506(9),11427(7),39996(6),125088(7),352506(10),2598(11),27834(11),123608(10),4773(9,R),36132(10),1300(8),5754(9),240811(9)])]. 353385 (x \ T(x * y,z)) * K(z,y * x) = T(y,K(x,z)). [para(352506(a,1),330482(a,1,2)),rewrite([175858(3),97973(10),58(8),26853(9),3545(9),86499(10),37791(9),53045(10)])]. 353726 x \ (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(5081,a,165661,a,b,162923,a),rewrite([306668(8),165684(8),277235(5),162923(12)])]. 353732 L(K(x,y) / z,u,w) \ K(x,y) = L(1 / z,u,w) \ 1. [hyper(5081,a,31850,a,b,162923,a),rewrite([193425(5),31701(7),162923(12)]),flip(a)]. 353771 L((x * y) / x,z,u) \ (x * y) = y * (L(y,z,u) \ x). [para(50(a,1),162923(a,1,1)),rewrite([50(2)]),flip(a)]. 353781 K(x,x \ y) * (L(x,z,u) \ y) = x * (L(x,z,u) \ (y / x)). [para(160(a,1),162923(a,2,1,1)),rewrite([340(2),340(2),27446(9)]),flip(a)]. 353786 K((x \ y) * (x / L(x \ y,z,u)),w) = K(y / L(y / x,z,u),w). [para(162923(a,1),181(a,1,1)),rewrite([27834(8),4781(7),27601(8),4743(6),2717(6),3588(5),118539(10)]),flip(a)]. 353896 x * (x * (L(x,y,z) \ x)) = L(x \ 1,y,z) \ x. [para(162923(a,1),61613(a,1,2)),rewrite([195393(6),163040(9)]),flip(a)]. 354037 (x \ R(x,y,z)) * (a(x,y,z) \ x) = a(x,y,z) \ R(x,y,z). [para(256868(a,1),162923(a,1,2,1)),rewrite([256863(7),256868(9)])]. 354058 (x * y) * (L(x * y,z,u) \ (y * x)) = L(1 / (x * y),z,u) \ K(y,x). [para(318850(a,1),162923(a,1,1)),rewrite([318850(6),162882(10),320555(9)])]. 354134 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(5083,a,145188,a,b,353771,a(flip)),rewrite([147(4),27446(5),353781(5),7726(7),95661(6),2244(4),162922(4)]),flip(a)]. 354147 K((x * y) / L((x * y) / x,z,u),T(w,y)) = K(y * (L(y,z,u) \ x),w). [para(353771(a,1),177(a,2,1)),rewrite([6174(9),1518(8),2717(8)])]. 354339 L(x,y,z) \ ((L(u,w,v5) \ u) * x) = x * (L(x,y,z) \ (L(u,w,v5) \ u)). [para(91470(a,1),353771(a,1,1,1)),rewrite([50(6)])]. 354413 L(x,y,z) \ ((u \ (a(w,v5,v6) \ u)) * x) = x * (L(x,y,z) \ (u \ (a(w,v5,v6) \ u))). [para(292701(a,1),353771(a,1,1,1)),rewrite([50(8)])]. 354453 ((x \ 1) / L(x,y,z)) * L(L(x,y,z),u,w) = x \ L(x \ L(x,u,w),y,z). [back_rewrite(158638),rewrite([354134(12),305327(11)])]. 354536 L(x,y,z) \ ((x \ 1) \ u) = x \ (L(x \ 1,y,z) \ u). [hyper(5083,a,354134,a(flip),b,173671,a),rewrite([66364(9),50(2)]),flip(a)]. 354571 L(T(x,x \ (L(x,y,z) \ u)),y,z) = (x \ (L(x,y,z) \ u)) \ (x \ u). [para(354134(a,1),411(a,1,2)),rewrite([60(5),354134(8)])]. 354581 x \ (L(L(x,y,z),u,w) * (L(x,y,z) \ v5)) = L(L(x,y,z),u,w) * (x \ (L(x,y,z) \ v5)). [para(354134(a,1),18710(a,1,1)),rewrite([354134(6),131942(10),18710(7),354134(11)])]. 354630 (1 / L(x,y,z)) * (x \ (L(x,y,z) \ u)) = (L(x,y,z) * L(x,y,z)) \ (x \ u). [para(354134(a,1),61780(a,1,2))]. 354641 L(x \ (L(x,y,z) \ u),L(x,y,z),L(x,y,z)) = (1 / L(x,y,z)) * (x \ u). [para(354134(a,1),60426(a,1,1))]. 354720 L(x,y,z) * (L(L(x,y,z),u,w) * (x \ (L(x,y,z) \ v5))) = L(L(x,y,z),u,w) * (x \ v5). [para(354134(a,1),158113(a,1,2,2))]. 354722 L(x,y,z) \ ((u / x) * L(x,w,v5)) = x \ (L(x,y,z) \ (L(x,w,v5) * u)). [para(158527(a,1),354134(a,1,2))]. 354734 x \ (L(x,y,z) \ L(u,x,x)) = (1 / x) * (L(x,y,z) \ u). [para(28098(a,1),354134(a,1,2)),rewrite([277144(5)]),flip(a)]. 354772 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [para(71320(a,1),354134(a,2,2)),rewrite([310259(5),2426(5)])]. 354781 L(x \ 1,y,z) \ (x \ u) = (x \ 1) \ (L(x,y,z) \ u). [para(354134(a,1),173671(a,1,2)),rewrite([68073(5)]),flip(a)]. 354827 (x \ 1) \ (x \ y) = x \ ((1 / x) \ y). [back_rewrite(82112),rewrite([354536(5),60426(3),49(4)]),flip(a)]. 354832 x \ (L(L(x,y,z),u,w) * v5) = L(L(x,y,z),u,w) * (x \ v5). [back_rewrite(159370),rewrite([354581(7),354720(8)]),flip(a)]. 354906 (x \ K(y,z)) \ (x \ (K(y,z) * u)) = x \ ((1 / x) \ u). [back_rewrite(271579),rewrite([354827(10)])]. 354974 (L(x,y,z) \ x) \ (L(x \ 1,y,z) \ x) = x * x. [hyper(7088,a,353896,a,b,173671,a),rewrite([25190(4),353896(7)]),flip(a)]. 355033 R(x,y,z) * (L(x \ L(x,u,w),y,z) \ 1) = L(1 / R(x,y,z),u,w) \ 1. [hyper(5083,a,280576,a,b,353896,a),rewrite([280576(17),353726(8),306585(11)]),flip(a)]. 355048 (x * y) * (L(x * y,z,u) \ (x * y)) = L(1 / (x * y),z,u) \ 1. [hyper(5083,a,60487,a,b,353896,a),rewrite([60487(13),353726(8)]),flip(a)]. 355091 (x \ 1) / L(x,y,z) = x \ (1 / L(x,y,z)). [hyper(295,a,60426,a,b,353896,a),rewrite([306668(8),354781(8),269343(8),340961(5),60426(5),343097(6),340(8),354772(8)])]. 355323 (x \ y) * (1 / (y \ x)) = (y \ x) \ (x \ y). [para(60487(a,1),353896(a,2,1)),rewrite([307765(7),307764(8),49(7)])]. 355399 a(x,y,(L(z,u,w) * L(L(z \ 1,u,w),v5,v6)) * v7) = a(x,y,L(z \ L(z,v5,v6),u,w) * v7). [para(353896(a,1),158303(a,1,3,2)),rewrite([277432(12),306590(8),304101(6),324(3),48(3),72848(7),306590(16),304101(14),324(11),48(11),136014(18),307866(13)]),flip(a)]. 355479 (x \ (1 / L(x,y,z))) * x = L(x,y,z) \ 1. [para(353896(a,1),278051(a,2,1)),rewrite([306668(10),354781(10),269343(10),340961(7),194806(7),22934(7),195076(4),340(7),354772(7)]),flip(a)]. 355524 (x \ (1 / L(x,y,z))) * L(L(x,y,z),u,w) = x \ L(x \ L(x,u,w),y,z). [back_rewrite(354453),rewrite([355091(4)])]. 355543 (x \ y) \ T(y \ x,x \ y) = T((x \ y) \ (y \ x),x \ y). [back_rewrite(347898),rewrite([355323(5)]),flip(a)]. 355732 ((1 / x) \ L(x,y,z)) \ 1 = x \ (1 / L(x,y,z)). [para(355091(a,1),79608(a,1,1)),rewrite([150510(6),71618(6),160887(6),304789(11),159410(12),355091(10)])]. 355744 a(x \ ((y \ (1 / L(y,z,u))) \ w),v5,v6) = a(x \ ((y \ (L(y,z,u) \ 1)) \ w),v5,v6). [para(355091(a,1),96369(a,1,1,2,1)),rewrite([354134(11)])]. 355820 (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) \ 1. [para(355091(a,2),293086(a,1,1)),rewrite([305132(4),293077(6),293077(14)])]. 355842 ((1 / x) \ L(x,y,z)) * (x \ (1 / L(x,y,z))) = 1. [para(355091(a,2),345579(a,1,2)),rewrite([309946(4),355732(6),355091(8),323(9),309946(5)]),flip(a)]. 355845 1 / (x \ (1 / L(x,y,z))) = (1 / x) \ L(x,y,z). [para(355091(a,2),346450(a,1,1,2)),rewrite([309946(4),355091(8),355842(9),309946(5),324(6)]),flip(a)]. 356092 (L(x,y,z) \ 1) / x = x \ (1 / L(x,y,z)). [hyper(5358,a,355479,a)]. 356206 a(L(T(x,y) \ z,u,w),v5,v6) = a(L(x \ z,u,w),v5,v6). [para(355479(a,1),13791(a,1,1)),rewrite([46610(6),163742(15),269916(15),304101(11),304585(11),305274(10)])]. 356207 a(L((x / y) \ z,u,w),v5,v6) = a(L((y \ x) \ z,u,w),v5,v6). [para(355479(a,1),13826(a,1,1)),rewrite([46610(6),163742(16),269916(16),304101(12),304509(12),305274(13)])]. 356208 a(L(x * (K(y,z) * u),w,v5),v6,v7) = a(L(x * u,w,v5),v6,v7). [para(355479(a,1),13792(a,1,1)),rewrite([46610(7),163742(18),269916(18),144203(14),51(11)])]. 356387 a(L(x \ (y / z),u,w),v5,v6) = a(L(x \ (z \ y),u,w),v5,v6). [para(355479(a,1),239471(a,1,1)),rewrite([46610(6),163742(16),269916(16),304101(12),131774(11),305274(13)])]. 356434 (x \ (1 / L(x,y,z))) * L(x,u,w) = x \ (L(x,y,z) \ L(x,u,w)). [back_rewrite(311386),rewrite([356092(4)])]. 356693 K(x,y) * (z \ ((1 / z) \ u)) = z \ ((K(y,x) / z) \ u). [hyper(5083,a,354827,a,b,31968,a),rewrite([354827(9),71386(7),11961(6),354906(7),5754(6),71386(12),11961(11),354827(12),75801(11)])]. 356699 (L(x,y,z) \ x) \ ((x \ L(x,y,z)) \ u) = (x \ L(x,y,z)) \ ((L(x,y,z) \ x) \ u). [hyper(5081,a,91470,a,b,354827,a),rewrite([91470(4),304759(4),91470(6),304759(10)])]. 356710 ((1 / x) \ y) / T(x,y) = x \ ((1 / x) \ y). [hyper(5081,a,2244,a,b,354827,a),rewrite([12399(8),324(5),354827(9)])]. 356722 T(x,y) \ ((1 / T(x,y)) \ z) = x \ ((1 / x) \ z). [hyper(295,a,33918,a,b,354827,a),rewrite([9113(6),354827(6)])]. 356769 ((x \ 1) * y) \ (x \ z) = (x * y) \ ((1 / x) \ z). [para(354827(a,1),11892(a,1,1,2)),rewrite([26414(8),11892(6)]),flip(a)]. 356781 a(x,y \ ((1 / y) \ z),u) = a(x,y \ ((y \ 1) \ z),u). [para(354827(a,1),14805(a,2,2)),rewrite([81391(4)]),flip(a)]. 356783 a(x,y,z \ ((1 / T(z,u)) \ w)) = a(x,y,z \ ((1 / z) \ w)). [para(354827(a,2),13992(a,1,3)),rewrite([354827(6),356722(6)]),flip(a)]. 356802 a(a(x,y,z),u,w) \ (v5 \ ((1 / v5) \ v6)) = (v5 \ a(a(x,y,z),u,w)) \ (v5 \ v6). [para(354827(a,1),28887(a,1,2)),rewrite([68881(14)])]. 356803 (x \ a(a(y,z,u),w,v5)) \ (x \ v6) = x \ ((a(a(y,z,u),w,v5) / x) \ v6). [para(354827(a,2),28887(a,1,2)),rewrite([354827(6),356802(7),194313(11)])]. 356817 L(x,y \ ((1 / y) \ z),u) = L(x,y \ (y \ z),u). [para(354827(a,1),34030(a,2,2)),rewrite([68875(6),96177(3),239869(4)]),flip(a)]. 356870 L((x \ ((1 / x) \ y)) \ z,x \ (x \ y),x) = (x \ y) \ ((x \ 1) * z). [para(354827(a,1),60487(a,1,1,1)),rewrite([354827(9),26414(12),356817(10)])]. 356871 ((1 / x) \ y) \ (x * z) = (x \ y) \ ((x \ 1) * z). [para(354827(a,2),60487(a,1,1,1)),rewrite([354827(4),356817(10),356870(8)]),flip(a)]. 356881 ((x \ 1) \ 1) \ (x \ y) = x \ (((x \ 1) \ 1) \ y). [para(354827(a,1),68073(a,1,2)),rewrite([62160(5),68101(8),62163(8),227954(5),71337(4)]),flip(a)]. 356888 a(x,y \ ((y \ 1) \ z),u) = a(x,y \ (y \ z),u). [para(354827(a,1),68852(a,1,2)),rewrite([356781(5)])]. 356911 L(x,y,z * (u \ ((1 / u) \ w))) = L(x,y,z * (u \ (u \ w))). [para(354827(a,1),85295(a,1,3,2))]. 357007 L(x \ 1,y,z) * (x \ ((1 / x) \ u)) = L(x,y,z) * (x \ (x \ u)). [para(354827(a,1),158007(a,1,2))]. 357116 ((1 / x) \ y) \ ((1 / x) \ L(y,z,u)) = (x \ y) \ (x \ L(y,z,u)). [para(354827(a,2),304101(a,2,2,2,1)),rewrite([192086(4),192086(8),304101(10),354827(7),193927(9),354827(11),173314(13)]),flip(a)]. 357264 a(x,y \ ((1 / y) \ z),u) = a(x,y \ (y \ z),u). [back_rewrite(356781),rewrite([356888(10)])]. 357389 L(x,y,z * L(R(u,w,v5),u,u)) = L(x,y,z * R(u \ 1,w,v5)). [para(256863(a,2),356911(a,2,3,2,2)),rewrite([282109(5),89811(4),63(2),256863(6),281680(7),323(5)])]. 357420 L(x,y,z * R(u \ 1,w,v5)) = L(x,y,z * R(u,w,v5)). [para(174008(a,1),356911(a,2,3,2,2)),rewrite([337(6),354827(5),282109(5),89811(4),63(2),357389(4),67715(10),217392(8),280704(10)])]. 357450 (x \ y) \ ((y \ x) \ (x \ y)) = 1 / (y \ x). [hyper(7088,a,355323,a,b,268782,a),rewrite([346486(6),119979(5),355323(9)]),flip(a)]. 357546 x * (1 / (y \ (y / x))) = (y \ (y / x)) \ x. [para(340(a,1),355323(a,1,1)),rewrite([340(9)])]. 357639 T((x \ y) \ (y \ x),x \ y) = ((x \ y) \ 1) * (y \ x). [para(355323(a,1),59166(a,2,1)),rewrite([340(5),28057(6),28083(6),346538(4),345835(7),340(13)]),flip(a)]. 357908 (x \ y) \ T(y \ x,x \ y) = ((x \ y) \ 1) * (y \ x). [back_rewrite(355543),rewrite([357639(10)])]. 357997 (1 / (x \ y)) * (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). [para(357450(a,1),61780(a,1,2)),rewrite([170761(14),307765(12)])]. 358097 (R(x,y,z) \ x) \ 1 = x \ R(x,y,z). [para(256863(a,2),357450(a,1,1)),rewrite([256863(2),273273(7),50(8),287688(6)]),flip(a)]. 358191 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(6683,a,358097,a),rewrite([257666(4)])]. 358192 (R(x,y,z) \ x) * (x \ R(x,y,z)) = 1. [hyper(5457,a,358097,a)]. 358228 T(x,y) * (z \ R(z,u,w)) = T(x * (z \ R(z,u,w)),y). [para(358097(a,1),2467(a,1,2,1,2,2)),rewrite([323523(10),50(9),358097(9)]),flip(a)]. 358231 L(x \ (R(y,z,u) \ y),x,y * R(y,z,u)) = ((y \ R(y,z,u)) * x) \ 1. [para(358097(a,1),26452(a,1,3)),rewrite([174165(6),287688(10),358097(10)])]. 358232 L(x,y,R(z,u,w) \ z) = L(x,y,z * R(z,u,w)). [para(358097(a,1),26414(a,1,3)),rewrite([174165(3)]),flip(a)]. 358233 L(x,R(y,z,u) \ y,w) = L(x,y * R(y,z,u),w). [para(358097(a,1),28083(a,1,2)),rewrite([174146(3)]),flip(a)]. 358240 L(x \ R(x,y,z),x * R(x,y,z),u) = (u * (R(x,y,z) \ x)) \ u. [para(358097(a,1),12004(a,1,1)),rewrite([358233(5)])]. 358241 L(x \ R(x,y,z),x * R(x,y,z),u) \ u = u * (R(x,y,z) \ x). [para(358097(a,1),57662(a,1,2,1)),rewrite([358233(5),259245(6)])]. 358251 (R(x,y,z) \ x) * (R(R(x,y,z) \ x,u,w) * (x \ R(x,y,z))) = R(R(x,y,z) \ x,u,w). [para(358097(a,1),62761(a,1,2,2)),rewrite([49(14)])]. 358255 (x \ R(x,y,z)) \ (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) = L(R(x,y,z) \ x,u,w). [para(358097(a,1),63799(a,1,2)),rewrite([304101(6),173150(6),173188(5),62852(6),257666(9)])]. 358260 a(x * (R(y,z,u) \ y),w,v5) = a(x * (y * R(y,z,u)),w,v5). [para(358097(a,1),68916(a,2,1,2)),rewrite([358097(4),358191(4),174144(8)])]. 358262 L(x,(R(y,z,u) \ y) \ w,v5) = L(x,(y \ R(y,z,u)) \ w,v5). [para(358097(a,1),68875(a,1,2,1)),flip(a)]. 358270 a(x,y,R(z,u,w) \ z) = a(x,y,z \ R(z,u,w)). [para(358097(a,1),72770(a,1,3)),flip(a)]. 358272 K(x,R(y,z,u) \ (y * w)) = K(x,w). [para(358097(a,1),60845(a,1,2,1)),rewrite([60845(4),324(9),291201(8)])]. 358276 L(x,L(R(y,z,u) \ y,w,v5),v6) = L(x,L(y \ R(y,z,u),w,v5),v6). [para(358097(a,1),70578(a,1,2,1)),flip(a)]. 358285 L(x,y,L(R(z,u,w) \ z,v5,v6)) = L(x,y,L(z \ R(z,u,w),v5,v6)). [para(358097(a,1),83591(a,1,3,1)),flip(a)]. 358287 L(x,y,z * (R(u,w,v5) \ u)) = L(x,y,z * (u * R(u,w,v5))). [para(358097(a,1),85295(a,2,3,2)),rewrite([358097(4),358191(4),174168(8)])]. 358289 K(x,(y \ R(y,z,u)) * w) = K(x,w). [para(358097(a,1),91922(a,1,2,1)),rewrite([60845(8),62852(7),288433(8),51(6)])]. 358295 (R(x,y,z) \ x) * L(x \ R(x,y,z),u,w) = (x \ R(x,y,z)) * L(R(x,y,z) \ x,u,w). [para(358097(a,1),98289(a,1,1)),rewrite([287688(12),358097(12)]),flip(a)]. 358304 T(x,(y \ R(y,z,u)) * w) = T(x,R(y,z,u) * (y \ w)). [para(358097(a,1),127165(a,2,2,1)),rewrite([337(6),60848(4),62852(3)]),flip(a)]. 358306 a(x \ (R(y,z,u) \ y),w,v5) = a(x \ (y * R(y,z,u)),w,v5). [para(358097(a,1),96575(a,2,1,2)),rewrite([358097(4),358191(4),174217(8)])]. 358312 (x \ R(x,y,z)) * L(R(x,y,z) \ x,u,w) = R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)). [para(358097(a,1),69933(a,1,2,1)),rewrite([358295(6),304101(12),173150(12),173188(11),62852(12)])]. 358327 R(R(x,y,z) \ x,u,w) * (x \ R(x,y,z)) = R(x,y,z) * (x \ R(R(x,y,z) \ x,u,w)). [para(358097(a,1),62852(a,2,2)),rewrite([49(7),272488(6),284607(6),284655(5),62852(6)]),flip(a)]. 358330 (R(x,y,z) \ x) * R(x \ R(x,y,z),u,w) = R(x,y,z) * (x \ R(R(x,y,z) \ x,u,w)). [para(358097(a,1),62675(a,2,2,1)),rewrite([49(4),284607(6),284655(5),62852(6)]),flip(a)]. 358333 ((x \ R(x,y,z)) * u) * T(w,R(x,y,z) * (x \ u)) = w * ((x \ R(x,y,z)) * u). [para(358097(a,1),174405(a,1,1,1)),rewrite([60848(7),62852(6),358097(12)])]. 358337 ((R(x,y,z) \ x) * u) * (x \ R(x,y,z)) = (u * (x \ R(x,y,z))) * (R(x,y,z) \ x). [para(358097(a,1),202072(a,2,2)),rewrite([287688(4),358097(4),287703(6)]),flip(a)]. 358338 R(x,y,R(z,u,w) \ z) = R(x,y,z \ R(z,u,w)). [para(358097(a,1),206104(a,1,3)),flip(a)]. 358344 R(x,R(y,z,u) \ y,w) = R(x,y \ R(y,z,u),w). [para(358097(a,1),206751(a,1,2)),flip(a)]. 358364 (x * (R(y,z,u) \ y)) * (y \ R(y,z,u)) = R(x,y \ R(y,z,u),y \ R(y,z,u)). [para(358097(a,1),89886(a,1,2)),rewrite([358338(11),358344(11)])]. 358373 ((R(x,y,z) \ x) * L(R(x,y,z) \ x,u,w)) * (x \ R(x,y,z)) = L(R(x,y,z) \ x,u,w). [para(358097(a,1),344040(a,1,2)),rewrite([358097(15),358191(15),324(14),48(14)])]. 358375 (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) * (R(x,y,z) \ x) = L(R(x,y,z) \ x,u,w). [para(358097(a,1),344393(a,2,2)),rewrite([304101(6),173150(6),173188(5),62852(6),358097(10),358191(10),358373(18)])]. 358379 x \ R(x,x \ y,y \ x) = (y \ x) \ ((x \ y) \ 1). [para(346044(a,2),358097(a,1,1,1)),rewrite([346044(4),95532(4),307734(5)]),flip(a)]. 358381 (R(x,y,z) \ x) \ (L(R(x,y,z) \ x,u,w) \ 1) = L(R(x,y,z) \ x,u,w) \ (x \ R(x,y,z)). [para(358097(a,1),354134(a,1,2)),flip(a)]. 358384 L(R(x,y,z) \ x,x,L(x,u,w)) = R(x,y,z) \ x. [back_rewrite(352307),rewrite([358191(4),358191(8)])]. 358389 L(x \ R(x,y,z),u,w) \ (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) = R(x,y,z) \ x. [back_rewrite(345397),rewrite([358191(14)])]. 358400 ((R(x,y,z) \ x) * u) * (x \ R(x,y,z)) = L(u,x * R(x,y,z),x * R(x,y,z)). [back_rewrite(272310),rewrite([358191(4)])]. 358405 (x \ R(x,y,z)) \ a(x,y,z) = a(x,y,z) * (R(x,y,z) \ x). [back_rewrite(266024),rewrite([358191(5)]),flip(a)]. 358424 (x \ R(x,y,z)) * T(u,w) = T(u * (x \ R(x,y,z)),w). [back_rewrite(256827),rewrite([358228(4)]),flip(a)]. 358448 x / T((y \ R(y,z,u)) \ x,w) = y * R(y \ K(w,x),z,u). [back_rewrite(273790),rewrite([358272(9)])]. 358452 (R(x,y,z) \ x) * (R(x,y,z) * (x \ R(R(x,y,z) \ x,u,w))) = R(R(x,y,z) \ x,u,w). [back_rewrite(358251),rewrite([358327(8)])]. 358457 K(x,y * (z \ R(z,u,w))) = K(x,y). [back_rewrite(259258),rewrite([358289(4)]),flip(a)]. 358472 T(x,R(y,z,u) * (y \ w)) = T(x,w * (y \ R(y,z,u))). [back_rewrite(259257),rewrite([358304(4)])]. 358473 (R(x,y,z) \ x) * L(x \ R(x,y,z),u,w) = R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)). [back_rewrite(358295),rewrite([358312(12)])]. 358480 R((R(x,y,z) \ x) \ u,x \ R(x,y,z),R(x,y,z)) = (u * R(x,y,z)) / x. [back_rewrite(287787),rewrite([358344(7)])]. 358487 (x * (y \ R(y,z,u))) * (R(y,z,u) \ y) = L(x,y * R(y,z,u),y * R(y,z,u)). [back_rewrite(358337),rewrite([358400(6)]),flip(a)]. 358502 L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = L(a(x,y,z) * (R(x,y,z) \ x),u,w) \ 1. [back_rewrite(306701),rewrite([358405(10)])]. 358508 R(x,y,z) * (x \ L(R(x,y,z) \ x,x,y * z)) = a(x,y,z) * (R(x,y,z) \ x). [back_rewrite(305504),rewrite([358405(11)])]. 358614 (x \ y) * (z * K(x,K(u,w))) = (T(x,K(u,w)) \ y) * z. [para(33711(a,1),32795(a,1,2)),rewrite([224483(8),73(5),1373(5),75(4),74(4),7726(5),34436(10),33711(9),410(10)])]. 359041 (x \ y) \ T(y,K(x,z)) = T(x,T(x \ y,z)). [para(97081(a,1),411(a,2,1)),rewrite([131426(4),2948(4),11961(9),133281(8),2045(6),110919(8),562(6)]),flip(a)]. 360224 L(T(x,T(L(x,y,z) \ L(x,u,w),v5)),y,z) = (L(x,y,z) \ L(x,u,w)) \ L(x,u,w). [para(310022(a,2),359041(a,1,1)),rewrite([310022(5),6159(6),60(6),928(5),60(11)]),flip(a)]. 360562 T((x / y) * K(z,u),y) / (y \ x) = K(z,T(u,x)). [hyper(5142,a,327407,a(flip),b,39358,a),rewrite([51(8)])]. 360631 T((x / y) * K(z,u),y) * w = (y \ x) * (K(z,T(u,y)) * w). [para(327407(a,1),7687(a,2,1)),rewrite([9(4),48(7)]),flip(a)]. 360842 (x \ y) * K(x \ (z \ y),z) = T((z \ (y / x)) * z,x). [para(2412(a,1),327407(a,2,1)),rewrite([55537(5)])]. 360924 T((x / y) * K(z,u),y) / w = (y \ x) / (w * K(u,T(z,y))). [para(327407(a,1),204224(a,2,1)),rewrite([9510(4),1039(3),5754(8),1039(7),5826(11)]),flip(a)]. 361114 (x \ y) / T((y / x) * K(z,u),x) = K(u,T(z,y)). [back_rewrite(360562),rewrite([360924(6),327407(5)])]. 361880 (L(x,y,z) \ (T(x,u) \ w)) * K(x,L(x,y,z) \ w) = T(x,u) \ (w / L(x,y,z)). [hyper(5083,a,95550,a,b,159354,a(flip)),rewrite([6159(7),41109(8)])]. 361883 R(x,y,z) \ (u / x) = x \ (u / R(x,y,z)). [hyper(5083,a,95550,a,b,62852,a(flip)),rewrite([6332(6),288732(5),147(5,R),51(3)])]. 361962 K(x \ ((y \ z) * y),u) = K(x \ (y * (z / y)),u). [para(95550(a,1),181(a,1,1)),rewrite([44462(6),36595(5),50954(6),1671(6),145545(9)]),flip(a)]. 361996 K(x \ y,x) * ((z \ y) \ u) = (z \ (x * (y / x))) \ u. [para(95550(a,1),11892(a,2,1)),rewrite([5754(5),5538(9)])]. 362150 (x \ (y \ z)) * K(u,u \ z) = x \ (y \ (u * (z / u))). [para(95550(a,1),95099(a,1,2)),rewrite([5826(5)]),flip(a)]. 362309 R(x \ y,z,u) * (K(w,w \ y) * v5) = R(x \ (w * (y / w)),z,u) * v5. [para(95550(a,1),208456(a,1,1,1)),flip(a)]. 362527 K((x * (y / x)) / z,u) = K(x \ (y / (z / x)),u). [back_rewrite(244645),rewrite([361962(5),34580(5)])]. 362599 K(x \ (y * (z / y)),T(u,z)) = K(y \ (z / (x / y)),u). [back_rewrite(34580),rewrite([362527(9)])]. 363216 (L(x,y,z) * L(x \ 1,y,z)) \ (u \ w) = u \ ((L(x,y,z) * L(x \ 1,y,z)) \ w). [para(216287(a,1),172565(a,1,2)),rewrite([342543(8),64035(7),307667(6),342939(7),64035(11),64035(13),307667(12),342939(13)])]. 363515 K(x,x \ y) * (R(x \ y,z,u) * w) = R(y / x,z,u) * w. [para(60881(a,1),151404(a,1,1)),rewrite([60881(7),11961(9),244677(8),52(6),58(6),7724(7),6623(6),60881(12),362309(12),50(9)])]. 363678 (x \ y) \ ((1 / (x \ y)) \ ((y / x) * z)) = ((y / x) \ 1) \ z. [para(60881(a,1),354827(a,1,2)),rewrite([128946(7),3357(4)]),flip(a)]. 363680 L(x,y,z * ((u / w) \ v5)) = L(x,y,z * ((w \ u) \ v5)). [para(60881(a,1),356911(a,2,3,2,2)),rewrite([363678(8),85295(6),11981(9),85372(9)])]. 363730 (x / y) * (R(y \ x,z,u) * ((y \ x) \ w)) = R(x / y,z,u) * w. [back_rewrite(331470),rewrite([363515(13)])]. 363814 L(x,y,z * ((u / w) * v5)) = L(x,y,z * ((w \ u) * v5)). [para(28098(a,1),363680(a,1,3,2)),rewrite([85365(6),26402(8),28057(8),28098(9),85365(10)])]. 363842 L(x,y,z \ ((u / w) \ v5)) = L(x,y,z \ ((w \ u) \ v5)). [para(268782(a,1),363680(a,1,3)),rewrite([216887(9),268782(12)])]. 363875 L(x,y,z * ((u \ K(w,v5)) * v6)) = L(x,y,z * (u * v6)). [back_rewrite(199166),rewrite([363814(5)])]. 363886 a((x \ ((y / z) \ u)) * w,v5,v6) = a((x \ ((z \ y) \ u)) * w,v5,v6). [back_rewrite(96427),rewrite([363842(5),77147(8),12463(7),12534(5)]),flip(a)]. 364024 ((x \ 1) \ y) \ L(L(x,x,x),z,u) = (x \ y) \ L(x \ 1,z,u). [para(123722(a,1),69328(a,1,2,1)),rewrite([82013(9)]),flip(a)]. 364772 T(x,T(y * (K(z,u) / w),v5)) = T(x,T(y * (w \ K(z,u)),v5)). [para(80896(a,1),35720(a,1,2,1,1)),rewrite([122622(7),61871(7),324(5),23293(12),12438(12),328561(12),31850(9)])]. 364915 T(x,T(y / (z \ (K(u,w) * v5)),v6)) = T(x,T(y * ((z \ v5) \ K(w,u)),v6)). [back_rewrite(194148),rewrite([364772(12)])]. 365372 K(K(x,y) * (R(1 / z,u,w) * v5),v6) = K(R(z \ K(x,y),u,w) * v5,v6). [para(210404(a,1),92476(a,2,1)),rewrite([290778(5),43692(9),60920(9)])]. 365408 K(K(x,y) * ((L(z,u,w) \ z) \ v5),v6) = K(K(x,y) * (v5 * (z \ L(z,u,w))),v6). [para(309046(a,2),92476(a,2,1)),rewrite([293004(4),305132(4),91502(5)])]. 365416 K(x * L(x \ ((y \ 1) \ x),z,u),w) = K(L(y,z,u) * x,w). [para(344040(a,1),92476(a,2,1)),rewrite([305149(4),60842(7),51(5),60842(5),324(4)]),flip(a)]. 365421 K((x / y) * L(y,z,u),w) = K(x * (y \ L(y,z,u)),w). [para(102113(a,1),92476(a,2,1)),rewrite([293004(4),305132(4),60842(4),158527(3)])]. 365483 K(x * (y \ L(y,z,u)),w) * ((L(y,z,u) \ y) \ x) = T((L(y,z,u) \ y) \ x,w). [back_rewrite(241656),rewrite([365421(4)])]. 365486 L(x,y,z) * (u * K(u * (x \ L(x,y,z)),w)) = x * T((u / x) * L(x,y,z),w). [back_rewrite(160365),rewrite([365421(5)])]. 365555 K(T(x,y) \ (y \ z),u) = K(y \ (x \ z),u). [para(251(a,1),6385(a,1,1,1)),rewrite([34452(5),6385(3),106042(8)]),flip(a)]. 365578 K(a(x,y,z) \ (u \ w),v5) = K(u \ (a(x,y,z) \ w),v5). [para(1143(a,1),6385(a,1,1,1)),rewrite([6385(4)])]. 365600 K(L(L(x,y,z),u,w) \ ((z * y) \ v5),v6) = K(L(x,u,w) \ (y \ (z \ v5)),v6). [para(24271(a,1),6385(a,1,1,1)),rewrite([6385(5),6385(5)]),flip(a)]. 365706 K(L(T(x,y),z,u) \ (y \ w),v5) = K(y \ (L(x,z,u) \ w),v5). [para(2195(a,1),6385(a,1,1,1)),rewrite([6385(4)]),flip(a)]. 365759 K(T(x,y) \ ((y * (1 / x)) \ z),u) = K(x * ((x * y) \ z),u). [para(202072(a,1),6385(a,1,1,1)),rewrite([6385(6),60842(6),324(5)]),flip(a)]. 365786 K(T(x,y) \ ((x \ L(x,z,u)) \ w),v5) = K(L(T(x,y),z,u) \ w,v5). [para(258953(a,1),6385(a,1,1,1)),flip(a)]. 365796 K(R(x \ (y * (x \ 1)),z,u) \ (x \ w),v5) = K(x * (R(y,z,u) \ w),v5). [para(282303(a,1),6385(a,1,1,1)),rewrite([6385(6),60842(6),324(5)]),flip(a)]. 365859 K(x \ ((y \ L(y,z,u)) \ w),v5) = K(y * (L(y,z,u) \ (x \ w)),v5). [para(102113(a,1),6385(a,1,1,1)),rewrite([6385(5),60842(5),162681(4)]),flip(a)]. 365969 K(x * (L(x,y,z) \ (T(x,u) \ w)),v5) = K(L(T(x,u),y,z) \ w,v5). [back_rewrite(365786),rewrite([365859(6)])]. 366080 K(L(T(x,y),z,u) \ T(y,x),w) = K(L(x,z,u) \ y,w). [para(19895(a,1),97792(a,1,1)),rewrite([41367(4)]),flip(a)]. 366508 K(L(x,y,z) * (K(u,w) * T((L(x,y,z) \ v5) * K(w,u),x)),v6) = K(v5,T(v6,x)). [para(33598(a,2),4028(a,1,1)),rewrite([27446(5),110084(8),6174(14),9776(14)])]. 366539 K(((x * (y \ z)) \ L(x * (y \ z),u,w)) * (x * (z / y)),v5) = K((z / y) * x,T(v5,z * y)). [para(144546(a,1),4028(a,1,1,1)),rewrite([39941(17),6159(17),26985(16)])]. 366664 x * K(y \ (z * u),u \ ((z \ y) * x)) = ((z \ y) \ u) * (x / ((z \ y) \ u)). [para(60842(a,1),197(a,1,2)),rewrite([60845(6)])]. 366665 x * K(y \ (z * u),u \ (z \ (y * x))) = (y \ (z * u)) * (x / (y \ (z * u))). [para(60842(a,2),197(a,1,2)),rewrite([60845(6),12016(6),60842(6)])]. 366675 K(x \ (y * (K(z,u) * w)),v5) = K(((y \ x) \ w) * K(z,u),v5). [para(7725(a,1),60842(a,2,1,2)),rewrite([12023(3),11961(4),43692(5)]),flip(a)]. 366676 K(((x \ y) \ z) * K(u,w),v5) = K((y \ (x * z)) * K(u,w),v5). [para(7726(a,2),60842(a,2,1,2)),rewrite([41109(4),7726(8),60873(9)])]. 366681 K(K(x,y) * ((z \ u) \ w),v5) = K(K(x,y) * (u \ (z * w)),v5). [para(12023(a,1),60842(a,2,1)),rewrite([41109(3),12023(4)])]. 366704 K(L(x \ y,x,y \ z) \ u,w) = K(z \ (((z / y) * x) * u),w). [para(26452(a,2),60842(a,1,1,1))]. 366705 K(L(x,y,(y * x) \ z) \ u,w) = K(z \ (((z / (y * x)) * y) * u),w). [para(26455(a,2),60842(a,1,1,1))]. 366748 K(x \ (y \ (R(z,z \ y,x) * u)),w) = K(x \ ((z \ y) \ u),w). [para(95099(a,1),60842(a,1,1,1)),rewrite([6385(4),6385(10)]),flip(a)]. 366830 K((K(x,y) / z) * u,w) = K(K(x,y) * (z \ u),w). [para(23112(a,1),60842(a,1,1,1)),rewrite([12023(3),5754(9),75792(9)]),flip(a)]. 366836 K(x \ (R(y,y,x) * z),u) = K(x \ ((y \ 1) \ z),u). [para(206986(a,1),60842(a,1,1,1)),rewrite([6385(5)]),flip(a)]. 366864 K(R(x \ y,z,u) \ (x \ w),v5) = K(R(x * y,z,u) \ (x * w),v5). [para(281867(a,1),60842(a,1,1,1)),rewrite([6385(5)])]. 366959 K(x \ (y * (K(z,u) * w)),v5) = K((x \ (y * w)) * K(z,u),v5). [back_rewrite(366675),rewrite([366676(10)])]. 366975 K(K(x,y) * ((z / u) * L(u,w,v5)),v6) = K(K(x,y) * (z * (u \ L(u,w,v5))),v6). [back_rewrite(365408),rewrite([366681(6),158527(4)])]. 367023 K(R(x * (y * (x \ 1)),z,u) \ (x * w),v5) = K(x * (R(y,z,u) \ w),v5). [back_rewrite(365796),rewrite([366864(8)])]. 367323 K(a(x,y,z) * T((y * z) * x,u),w) = K(z * (x * y),T(w,y * u)). [para(101962(a,1),11087(a,1,1,2)),rewrite([40278(7),201268(6),40223(5),101934(8),7725(5),288750(4),10212(8),26853(5)]),flip(a)]. 367824 K(L(T(x,y \ 1),z,u) / y,w) = K(y \ L(x,z,u),w). [para(62148(a,2),2499(a,2,1)),rewrite([60(4),174817(8),62148(9),174554(11)])]. 367825 K(T(x,y / z) * (y * (z \ 1)),u) = K((y * (z \ 1)) * x,u). [para(72702(a,2),2499(a,2,1)),rewrite([123794(4),72702(11)])]. 367902 K(L(T(x,y / z),z,y) * (y * (1 / z)),u) = K(y * ((1 / z) * x),u). [para(76184(a,1),2499(a,2,1)),rewrite([76435(5),60(3)])]. 368260 K(((x * y) \ z) * u,T(w,y * (x * z))) = K(u * ((x * y) \ z),w). [para(252759(a,2),53895(a,1,1,1)),rewrite([252759(5),12024(8),27834(9),36703(9),34372(9),1372(13)])]. 368447 K((x \ (y * (z / y))) * K(y,y \ z),u) = K(x \ z,u). [para(167131(a,1),9674(a,1,1))]. 368557 K(x \ (y * T(z,x \ y)),u) = K(z / (y \ x),u). [para(114213(a,1),1286(a,1,1,2)),rewrite([8515(6),189070(5),60842(5),36711(10),2717(11),3588(9)])]. 369185 K((x \ (y \ z)) * u,T(w,x * (y * z))) = K(u * (x \ (y \ z)),w). [para(12024(a,2),2530(a,1,2)),rewrite([12024(6),27834(7),36703(7)])]. 369186 K((x / y) * z,T(y,x)) = K(z * (y \ x),y). [para(3334(a,1),2530(a,1,2)),rewrite([27834(5),4773(4,R),36132(5),259565(7)])]. 369251 K((x * (y \ 1)) * z,T(u,x * y)) = K(z * (x * (y \ 1)),u). [para(72702(a,1),2530(a,1,1)),rewrite([74242(12),72446(10),61746(9)])]. 369306 K(x * ((x \ y) * z),T(u,z * y)) = K(x * ((x \ y) * z),u). [para(7596(a,2),2530(a,2,1)),rewrite([36702(7),26989(7),7596(10)])]. 369338 K((x \ L(x,y,z)) * u,w) = K(L(x,y,z) * (x \ u),w). [para(135559(a,1),2530(a,2,1)),rewrite([27600(9),190246(8),26993(6),158527(3),365421(5),2530(5),161018(10)])]. 369341 K(L(x,y,z) * (z * (1 / y)),u) = K(((1 / y) * x) * z,T(u,y)). [para(76184(a,1),2530(a,1,1)),rewrite([76435(8),36551(7),36328(7)]),flip(a)]. 369342 K(((1 / x) * y) * z,T(u,x * y)) = K(z * ((1 / x) * y),u). [para(76184(a,2),2530(a,2,1)),rewrite([75013(8),27834(7),76184(12)])]. 369380 K(((x \ 1) \ y) * z,T(u,x * y)) = K(z * ((x \ 1) \ y),u). [para(68800(a,2),2530(a,1,1)),rewrite([68800(4),60848(8),324(7)])]. 369389 K((x * L(x \ y,z,u)) * w,T(v5,y)) = K(w * (x * L(x \ y,z,u)),v5). [para(131815(a,1),2530(a,2,1)),rewrite([27601(13),51(10),27834(10),26989(10),131815(6),26985(7)])]. 369405 K(L(x,y,z) * (x \ (x \ u)),w) = K(u * L((x \ u) / u,y,z),T(w,x)). [para(307607(a,2),2530(a,2,1)),rewrite([6174(8),27834(8),36703(8),26895(8),2533(6),369338(11)]),flip(a)]. 369461 K((x / y) * z,T(u,x * y)) = K(z * (x / y),u). [back_rewrite(366539),rewrite([369338(10),77591(8),26653(6),7726(5),147(4,R),51(2),6159(4)]),flip(a)]. 369468 K(L(x,y,z) * (x \ (x \ u)),w * K(x \ 1,u)) = K(u * L(u \ (x \ u),y,z),w). [back_rewrite(343808),rewrite([369338(9)])]. 369471 K((x \ (x \ y)) * L(x,z,u),w) = K(y * L((x \ y) / y,z,u),w). [back_rewrite(343493),rewrite([369338(6),49765(6)])]. 369480 K(((1 / x) * T(y,z / x)) * z,T(u,x)) = K(z * ((1 / x) * y),u). [back_rewrite(367902),rewrite([369341(8)])]. 369601 K(R(x,y,z) * u,w) = K(x * u,w). [hyper(5142,a,62761,a,b,41141,a),rewrite([273483(6),280983(7),51(5),219583(7),288590(5),201843(5),219762(6),181(3)]),flip(a)]. 369606 K((x \ y) * z,T(u,x)) = K(z * (x \ y),T(u,y)). [hyper(5142,a,327407,a(flip),b,41141,a),rewrite([360924(8),327407(7),361114(8)]),flip(a)]. 369630 K(x * R(y,z,u),w) = K(x * y,w). [hyper(5142,a,41141,a,b,6623,a),rewrite([369601(3),201268(4),41141(3),562(8),288590(7),40241(7),562(6),219583(8),201843(7),11774(6),259458(6),219762(6),2530(3)]),flip(a)]. 369843 K((((1 / x) * y) * z) * u,T(w,x * (z * y))) = K(u * (((1 / x) * y) * z),w). [hyper(5083,a,76230,a(flip),b,41141,a(flip)),rewrite([76557(14)])]. 370126 R(x * K((y * z) * x,u),y,z) = T((x * y) * z,u) / (y * z). [para(401(a,1),41141(a,1,1,1)),rewrite([201268(5),201574(5),369630(10),201843(10)]),flip(a)]. 370208 K(x * L(y,z,u),w) * ((x / y) * L(y,z,u)) = y \ T(L(y,z,u) * x,w). [para(158354(a,1),41141(a,2,2,1)),rewrite([158813(5),7726(14),26653(13),160302(14)])]. 370417 K(K(x,y) * (R(1 / z,u,w) * v5),v6) = K((z \ K(x,y)) * v5,v6). [back_rewrite(365372),rewrite([369601(12)])]. 370440 K(x \ R(y,z,u),w) = K(x \ y,w). [back_rewrite(283005),rewrite([369601(7),4028(6),174817(5),177(3)]),flip(a)]. 370441 K(R(x,y,z) / u,w) = K(x / u,w). [back_rewrite(281883),rewrite([369601(5),4028(4),879(3)]),flip(a)]. 370501 R(x,L(y,z,u),x) = R(x,y,x). [back_rewrite(216096),rewrite([369630(4),108729(4),6775(2),1735(4)]),flip(a)]. 370511 K(x * (y * z),T(u,z)) = K((z * x) * y,u). [back_rewrite(101934),rewrite([369630(4)]),flip(a)]. 370597 a(x,y,z) * T((y * z) * x,u) = T((y * z) * R(x,y,z),u). [back_rewrite(201782),rewrite([370126(6),41696(7),57(5)]),flip(a)]. 370724 (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). [back_rewrite(219450),rewrite([370440(3),2412(3)]),flip(a)]. 370743 K((a(x,y,z) * R(u,w,v5)) / v6,v7) = K(u / (a(x,y,z) \ v6),v7). [back_rewrite(132696),rewrite([370441(10)])]. 370877 L(x,y,z) * R(u,x,u) = T(u * L(x,y,z),u). [back_rewrite(318142),rewrite([370501(5),215434(4)])]. 370992 K(((1 / x) * y) * z,T(u,x)) = K((y * z) / x,u). [back_rewrite(336797),rewrite([370511(12),190246(11)])]. 370996 K((x * y) * z,T(u,x)) = K((y * z) * x,u). [back_rewrite(102280),rewrite([370511(8)])]. 371006 K(x * (y * z),T(u,z * w)) = K((z * x) * y,T(u,w)). [back_rewrite(367323),rewrite([370597(5),1039(5),369630(5)]),flip(a)]. 371175 K((T(x,y / z) * y) / z,u) = K(y * ((1 / z) * x),u). [back_rewrite(369480),rewrite([370992(8)])]. 371204 K((a(x,y,z) * u) * w,v5) = K(u * (w * a(x,y,z)),v5). [back_rewrite(27012),rewrite([370996(5)])]. 371244 K((x * y) * (y \ z),T(u,z)) = K(y * ((y \ z) * x),u). [back_rewrite(369306),rewrite([371006(6)])]. 371251 K((x * y) * z,u) = K(x * (y * z),u). [back_rewrite(9916),rewrite([371006(5),181(4)]),flip(a)]. 371375 K(T(x,y) * (y * z),u) = K(y * (x * z),u). [back_rewrite(46451),rewrite([371251(4),371251(7)])]. 371379 K(x * ((x \ y) * z),u) = K(y * z,u). [back_rewrite(371244),rewrite([371251(5),51(2),181(3)]),flip(a)]. 371394 K(a(x,y,z) * (u * w),v5) = K(u * (w * a(x,y,z)),v5). [back_rewrite(371204),rewrite([371251(4)])]. 371421 K(x * (y * z),T(u,z * w)) = K(z * (x * y),T(u,w)). [back_rewrite(371006),rewrite([371251(9)])]. 371483 K((x * (y * z)) / u,T(w,y * x)) = K(z * (((1 / u) * x) * y),w). [back_rewrite(369843),rewrite([371251(9),371251(9),68811(9),26994(7)])]. 371506 K(x * (L(x \ y,z,u) * w),T(v5,y)) = K(w * (x * L(x \ y,z,u)),v5). [back_rewrite(369389),rewrite([371251(6)])]. 371512 K(x * ((1 / y) * z),u) = K(x / (z \ y),u). [back_rewrite(369342),rewrite([371251(7),68811(7),26994(5),128030(4)]),flip(a)]. 371517 K(x * (y * (z \ 1)),u) = K((x * y) / z,u). [back_rewrite(369251),rewrite([371251(7),26985(7),371251(6),174554(6),879(4)]),flip(a)]. 371575 K(x * ((y \ 1) * z),u) = K(x / (z \ y),u). [back_rewrite(367825),rewrite([371517(7),371175(5),371512(5),371251(8)]),flip(a)]. 371657 K(x * (y * L(y \ z,u,w)),T(v5,z)) = K(y * (L(y \ z,u,w) * x),v5). [back_rewrite(303509),rewrite([371251(11)])]. 371896 K(L(x / y,z,u) * (y * w),v5) = K(y * (L(y \ x,z,u) * w),v5). [back_rewrite(78648),rewrite([371251(7),26985(7),371251(6),207(3),371657(6)]),flip(a)]. 371949 K(x * (T(y,x) * z),u) = K(y * (x * z),u). [back_rewrite(184644),rewrite([371375(4)]),flip(a)]. 371980 T(x * K(y \ (z * x),x),y \ z) = R(x,z * y,x). [back_rewrite(216155),rewrite([371512(5),6779(3),60842(3)])]. 372143 K((x / y) * (y * z),u) = K(x * z,u). [para(53(a,1),371251(a,1,1,1)),flip(a)]. 372198 K(a(x,y,z) * (u * w),v5) = K(u * (a(x,y,z) * w),v5). [para(1143(a,1),371251(a,1,1,1)),rewrite([371251(4)]),flip(a)]. 372280 K(x * ((R(x,y,z) * (x \ u)) * w),v5) = K(x * (u * w),v5). [para(62761(a,1),371251(a,1,1,1)),rewrite([371251(4),369601(4)]),flip(a)]. 372283 K((R(x,y,z) \ u) * w,v5) = K((x \ u) * w,v5). [para(62943(a,1),371251(a,1,1,1)),rewrite([369601(10),371379(9)]),flip(a)]. 372317 K(x * ((y * z) * u),w) = K(x * (y * (z * u)),w). [para(401(a,1),371251(a,1,1,1)),rewrite([371251(4),371251(4),369601(9)]),flip(a)]. 372320 K(x * (R(y,z,u) * w),v5) = K(x * (y * w),v5). [para(7984(a,1),371251(a,1,1,1)),rewrite([371251(4),369601(9),371949(8)])]. 372372 K(x * (L(x \ (x \ y),z,u) * w),v5) = K((x \ L(y,z,u)) * w,v5). [para(28563(a,1),371251(a,1,1,1)),flip(a)]. 372457 K(x \ (y * z),u) = K((x \ y) * z,u). [para(268782(a,1),371251(a,1,1,1)),rewrite([369601(9),174554(8)]),flip(a)]. 372463 K(x * (x * ((x \ y) * z)),u) = K(((x \ 1) \ y) * z,u). [para(68800(a,1),371251(a,1,1)),flip(a)]. 372465 K((x \ R(y,z,u)) * w,v5) = K((x \ y) * w,v5). [para(280576(a,1),371251(a,1,1,1)),rewrite([372320(10),371379(9)])]. 372468 K((x * R(y,z,u)) / w,v5) = K((x * y) / w,v5). [para(282303(a,1),371251(a,2,1,2)),rewrite([369630(8),371251(7),51(5),371517(5),371517(9)]),flip(a)]. 372478 K(x / (y \ a(z,u,w)),v5) = K((a(z,u,w) \ x) * y,v5). [para(294302(a,1),371251(a,1,1,1)),rewrite([371251(6),371575(6),174554(10),372457(8)])]. 372512 K((x \ (x \ y)) * z,u) = K(y * (z / (x * x)),u). [para(68101(a,2),371251(a,1,1,1)),rewrite([68101(4),68332(5),174554(6),74492(4),174554(10),372457(8)]),flip(a)]. 372522 K(x * (y * L(y \ ((z \ 1) \ y),u,w)),v5) = K(x * (L(z,u,w) * y),v5). [para(344040(a,1),371251(a,2,1,2)),rewrite([371251(6),372317(6),158113(4)]),flip(a)]. 372548 K(((1 / x) \ y) * z,u) = K(x * (y * z),u). [para(371251(a,2),92476(a,2)),rewrite([372457(5),371251(8)])]. 372838 K(((x \ 1) \ y) * z,u) = K(x * (y * z),u). [back_rewrite(372280),rewrite([372317(6),372320(6),372463(5)])]. 372885 K((x * (y * z)) / u,T(w,y * x)) = K(z / ((x * y) \ u),w). [back_rewrite(371483),rewrite([372317(12),371512(12)])]. 372940 K((x \ K(y,z)) * u,w) = K(K(y,z) * (x \ u),w). [back_rewrite(370417),rewrite([372320(7),75792(5),366830(4)]),flip(a)]. 372987 R(x,y \ z,x) = R(x,z * y,x). [back_rewrite(371980),rewrite([372457(3),6775(3),1735(6)])]. 373052 K(x / (y \ z),u) = K(x * (z \ y),u). [back_rewrite(368557),rewrite([372457(5),410(4)]),flip(a)]. 373084 K(((x * (y * (x \ 1))) \ x) * z,u) = K(x * (R(y,w,v5) \ z),u). [back_rewrite(367023),rewrite([372457(8),372283(8)])]. 373100 K((x \ (y * z)) * K(u,w),v5) = K((x \ y) * (K(u,w) * z),v5). [back_rewrite(366959),rewrite([372457(5)]),flip(a)]. 373156 K(x \ ((y \ 1) \ z),u) = K((x \ y) * z,u). [back_rewrite(366836),rewrite([372457(4),372465(4)]),flip(a)]. 373230 K(L(x,y,(y * x) \ z) \ u,w) = K((z \ ((z / (y * x)) * y)) * u,w). [back_rewrite(366705),rewrite([372457(11)])]. 373231 K(L(x \ y,x,y \ z) \ u,w) = K((z \ ((z / y) * x)) * u,w). [back_rewrite(366704),rewrite([372457(10)])]. 373250 x * K((y \ z) * u,u \ (z \ (y * x))) = (y \ (z * u)) * (x / (y \ (z * u))). [back_rewrite(366665),rewrite([372457(6)])]. 373251 x * K((y \ z) * u,u \ ((z \ y) * x)) = ((z \ y) \ u) * (x / ((z \ y) \ u)). [back_rewrite(366664),rewrite([372457(6)])]. 373327 K((x \ y) * (z / y),T(u,z)) = K(y \ (z / (x / y)),u). [back_rewrite(362599),rewrite([372457(5)])]. 373349 K((x \ (y \ z)) * y,u) = K((x \ y) * (z / y),u). [back_rewrite(361962),rewrite([372457(4),372457(8)])]. 373812 K(x * (y \ z),T(u,z)) = K((z * x) / y,u). [back_rewrite(243784),rewrite([372457(5),26989(5)])]. 374080 (x \ (y * z)) \ T(x \ (z * y),u) = K(z,y) * K((x \ z) * y,u). [back_rewrite(146345),rewrite([372457(10)])]. 374117 x * K((y \ z) * (u * x),u \ (z \ y)) = ((u \ (z \ y)) \ x) * (u \ (z \ y)). [back_rewrite(145057),rewrite([372457(6)])]. 374118 x * K((y \ (z * u)) * x,u \ (z \ y)) = (((z * u) \ y) \ x) * ((z * u) \ y). [back_rewrite(145056),rewrite([372457(6)])]. 374181 K(x * ((y \ z) \ u),T(w,u * (y * z))) = K((z \ y) * (u * x),w). [back_rewrite(115616),rewrite([373052(7),372457(11)])]. 374196 K((x \ y) * z,u) * (z / (y \ x)) = T(z / (y \ x),T(u,y * x)). [back_rewrite(100268),rewrite([372457(3)])]. 374259 K(x * (y \ (z * u)),T(w,u * (z * y))) = K((y \ (z * u)) * x,w). [back_rewrite(60934),rewrite([373052(7),372457(11)])]. 374267 K((x \ y) \ z,u) = K((y \ x) * z,u). [back_rewrite(60842),rewrite([372457(6)])]. 374286 K((x * y) / z,T(u,x * w)) = K(y * (z \ x),T(u,w)). [back_rewrite(40923),rewrite([372457(5),27536(5)]),flip(a)]. 374290 K((x * y) / z,T(u,w * x)) = K(y * (z \ x),T(u,w)). [back_rewrite(39420),rewrite([372457(5),27536(5)]),flip(a)]. 374325 K((a(x,y,z) * u) / w,v5) = K(u * (w \ a(x,y,z)),v5). [back_rewrite(370743),rewrite([372468(5),373052(8)])]. 374335 K(x * L((y \ x) / x,z,u),w) = K(x * L(y \ 1,z,u),w). [back_rewrite(369471),rewrite([372512(5),25949(3),61746(2)]),flip(a)]. 374350 K(x * ((y \ 1) \ z),u) = K(x * (y * z),u). [back_rewrite(369380),rewrite([372838(7),26985(5),371251(4),2530(4),371251(3)]),flip(a)]. 374422 K(x * (y \ (z * u)),w) = K(x * ((y \ z) * u),w). [back_rewrite(372885),rewrite([374290(6),371251(5),2530(5),371251(4),373052(8)]),flip(a)]. 374529 T(x,y \ (z \ u)) * K(x * ((z * y) \ u),x) = R(x,u * (z * y),x). [back_rewrite(12412),rewrite([372987(11)])]. 374543 K((a(x,y,z) \ u) * w,v5) = K(u * (a(x,y,z) \ w),v5). [back_rewrite(372478),rewrite([373052(4)]),flip(a)]. 374647 K((x \ y) * (y \ z),u) = K(x \ z,u). [back_rewrite(368447),rewrite([373100(7),242683(5),183780(6),412(3)])]. 374715 K((x / y) * z,T(u,x)) = K((y \ z) * x,u). [back_rewrite(275851),rewrite([373156(5)]),flip(a)]. 374774 K((x \ y) * z,T(u,x)) = K((y * z) / x,u). [back_rewrite(369606),rewrite([373812(8)])]. 374845 K(x \ ((y \ z) \ u),w) = K((x \ (z \ y)) * u,w). [back_rewrite(96218),rewrite([374286(6),374715(5)]),flip(a)]. 374858 K(L(x,y,z) * (x \ (x \ u)),w) = K(L(x \ 1,y,z) * u,w). [back_rewrite(369405),rewrite([374335(11),158092(11)])]. 374903 K(x * (y * (z \ u)),T(w,u * z)) = K((z \ (u * x)) * y,w). [back_rewrite(374259),rewrite([374422(7),371421(7)])]. 375084 K((x \ y) * z,x) = K(y * (x \ z),x). [back_rewrite(369186),rewrite([374715(4)])]. 375087 K(x \ ((1 / y) \ z),u) = K((x \ y) * z,u). [back_rewrite(96200),rewrite([374715(9)])]. 375088 K(x * (y / z),T(u,z)) = K((z \ x) * y,u). [back_rewrite(78406),rewrite([374715(4)]),flip(a)]. 375120 K(x \ (y \ (R(z,z \ y,x) * u)),w) = K((x \ (y \ z)) * u,w). [back_rewrite(366748),rewrite([374845(10)])]. 375157 K(x * L(x \ (y \ x),z,u),w) = K(L(y \ 1,z,u) * x,w). [back_rewrite(369468),rewrite([374858(9),147669(9)]),flip(a)]. 375643 K(L((x \ 1) \ 1,y,z) * u,w) = K(L(x,y,z) * u,w). [back_rewrite(365416),rewrite([375157(7)])]. 375869 K(K(x,y) * (((z * (u * w)) \ z) * (u * (L(w,u,z) * v5))),v6) = K(K(x,y) * v5,v6). [para(24266(a,1),372940(a,2,1,2)),rewrite([372317(10),372940(10),374422(10),26458(15),6159(16)])]. 375913 K(K(x,y) * (((z * u) \ z) * w),v5) = K(K(x,y) * (u \ w),v5). [para(382(a,2),372940(a,2,1,2)),rewrite([372940(6),374422(6),26458(10),6159(11)])]. 375997 K(K(x,y) * ((z \ u) * (z \ L(z,w,v5))),v6) = K(L(z \ K(x,y),w,v5) * u,v6). [para(158354(a,1),372940(a,1,1)),rewrite([160077(13),158527(10),366975(12)]),flip(a)]. 376126 K(K(x,y) * (z * (u \ L(u,w,v5))),v6) = K(K(x,y) * z,v6). [back_rewrite(375869),rewrite([375913(10),374422(8),375913(8),158527(4),366975(6)])]. 376140 K(L(x \ K(y,z),u,w) * v5,v6) = K(K(y,z) * (x \ v5),v6). [back_rewrite(375997),rewrite([376126(7)]),flip(a)]. 376144 K(x * (y * L(y \ K(z,u),w,v5)),v6) = K(K(z,u) * x,v6). [back_rewrite(70379),rewrite([376126(6)]),flip(a)]. 376149 K(L(x \ 1,y,z) * u,w) = K(x \ u,w). [back_rewrite(158093),rewrite([376140(6),1365(5)]),flip(a)]. 376160 K(x * (y \ L(y,z,u)),w) = K(x,w). [back_rewrite(70332),rewrite([376144(7),1365(4)]),flip(a)]. 376166 K(L(x,y,z) * u,w) = K(x * u,w). [back_rewrite(375643),rewrite([376149(7),374267(4),324(2)]),flip(a)]. 376259 x * T((y / x) * L(x,z,u),w) = L(x,z,u) * T(y,w). [back_rewrite(365486),rewrite([376160(5),149(3)]),flip(a)]. 376260 (L(x,y,z) \ x) \ T(u,w) = T((L(x,y,z) \ x) \ u,w). [back_rewrite(365483),rewrite([376160(4),237313(5)])]. 376266 a(x,y * L(y,z,u),x) = 1. [back_rewrite(293082),rewrite([376160(4),948(1)]),flip(a)]. 376342 K(x * (L(x \ y,z,u) * w),v5) = K(y * w,v5). [back_rewrite(371896),rewrite([376166(5),372143(4)]),flip(a)]. 376400 K(x * (y / L(x,z,u)),w) = K(y,T(w,x)). [back_rewrite(366508),rewrite([376166(10),139555(9),7725(7),5784(6),118539(4)])]. 376439 x * (L(x,y,z) \ T(L(x,y,z) * u,w)) = T(x * u,w). [back_rewrite(162762),rewrite([376166(9),7714(10)])]. 376461 x * L(y * K(x * y,z),u,w) = T(x * L(y,u,w),z). [back_rewrite(108618),rewrite([376166(3),11438(6),41141(3)])]. 376462 L(R(x,y,L(x,z,u)),z,u) = L(R(x,y,x),z,u). [back_rewrite(107824),rewrite([376166(3),1735(4)]),flip(a)]. 376474 K(x * L(y,z,u),w) = K(x * y,w). [back_rewrite(49777),rewrite([376166(4),2499(3)]),flip(a)]. 376475 L(x,y,z) \ T(u * L(x,y,z),w) = x \ T(u * x,w). [back_rewrite(41398),rewrite([376166(3),41405(4)]),flip(a)]. 376513 L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)) = T(u,w). [back_rewrite(306053),rewrite([376260(7),50(6)]),flip(a)]. 376566 K((x \ L(y,z,u)) * w,v5) = K((x \ y) * w,v5). [back_rewrite(372372),rewrite([376342(6)]),flip(a)]. 376570 K(x * (y * L(y \ z,u,w)),v5) = K(x * z,v5). [back_rewrite(371506),rewrite([376342(6),2530(3)]),flip(a)]. 376596 L(x * K(y * x,z),u,w) = y \ T(y * L(x,u,w),z). [back_rewrite(193973),rewrite([376474(3)])]. 376649 ((x * L(y,z,u)) * w) / (x * L(T(y,w),z,u)) = T(w * K(x * y,w),y). [back_rewrite(14337),rewrite([376474(4),208244(3)]),flip(a)]. 376661 K(x / L(x / y,z,u),w) = K(y,T(w,x)). [back_rewrite(353786),rewrite([376400(6),27834(3),3545(3)]),flip(a)]. 376680 (x \ L(x,y,z)) \ T(u,w) = T((x \ L(x,y,z)) \ u,w). [back_rewrite(308932),rewrite([376439(10),51(5)]),flip(a)]. 376685 x \ ((y * x) * L(x,z,u)) = T(y * L(x,z,u),x). [back_rewrite(160874),rewrite([376461(5)]),flip(a)]. 376708 x * L(R(y,x,y),z,u) = T(L(y,z,u) * x,y). [back_rewrite(152089),rewrite([376462(3)])]. 376737 K(x * y,z) * ((x / y) * L(y,u,w)) = y \ T(L(y,u,w) * x,z). [back_rewrite(370208),rewrite([376474(3)])]. 376768 T(x * L(y,z,u),w) / x = L(T(x * y,w) / x,z,u). [back_rewrite(251350),rewrite([376474(3),176373(5)]),flip(a)]. 376791 K(L(x,y,z) / u,w) = K(x / u,w). [back_rewrite(148965),rewrite([376474(5),1286(4),879(3)]),flip(a)]. 376813 K(x,y * L(z,u,w)) = K(x,y * z). [back_rewrite(352999),rewrite([376475(5),352506(5)]),flip(a)]. 376824 K(x,y * (L(y,z,u) \ w)) = K(x,w). [back_rewrite(296032),rewrite([376513(7),801(2)]),flip(a)]. 376833 K(x * (L(y,z,u) * w),v5) = K(x * (y * w),v5). [back_rewrite(372522),rewrite([376570(8),374350(5)]),flip(a)]. 376915 K(x,L(y,z,u) * w) = K(x,y * w). [back_rewrite(184886),rewrite([376649(7),1633(6),1300(3)]),flip(a)]. 376926 K(x * (L(x,y,z) \ u),w) = K(u,w). [back_rewrite(354147),rewrite([376661(7),3545(4),26853(3),2739(3)]),flip(a)]. 377027 (L(x,y,z) * u) * x = (x * u) * L(x,y,z). [back_rewrite(255277),rewrite([376708(3),410(4)])]. 377063 K(x \ L(y,z,u),w) = K(x \ y,w). [back_rewrite(367824),rewrite([376791(6),269562(5)]),flip(a)]. 377297 K(x,T(y * L(z,u,w),v5)) = K(x,T(y * z,v5)). [back_rewrite(55278),rewrite([376915(3),376813(6),55267(5)]),flip(a)]. 377309 T((x \ L(x,y,z)) \ u,w) / T(u,w) = u \ ((x \ L(x,y,z)) \ u). [back_rewrite(211119),rewrite([376926(8),149(6)])]. 377332 K(x,L(T(y,z),u,w) \ v5) = K(x,T(y,z) \ v5). [back_rewrite(350224),rewrite([376824(6)]),flip(a)]. 377524 K(x,(y * z) * u) = K(x,y * (z * u)). [back_rewrite(288763),rewrite([376915(4)]),flip(a)]. 377539 K(x,T(((1 / y) * z) * u,y)) = K(x,z * (u * (1 / y))). [back_rewrite(198985),rewrite([376915(6)]),flip(a)]. 377578 K(x,y \ ((1 / z) \ u)) = K(x,(y \ z) * u). [back_rewrite(92099),rewrite([376915(4)]),flip(a)]. 377594 K(x,y * (T(z,y) * u)) * ((z * y) * w) = (z * y) * (K(x,u * (z * y)) * w). [back_rewrite(45865),rewrite([376915(5)]),flip(a)]. 377626 K(L(T(x,y),z,u) \ w,v5) = K(T(x,y) \ w,v5). [back_rewrite(365969),rewrite([376926(6)]),flip(a)]. 377644 x \ (y * (L(y,z,u) \ T(x,w))) = x \ T(y * (L(y,z,u) \ x),w). [back_rewrite(314183),rewrite([376926(4),314082(6)])]. 377872 x * T(x \ L(y,z,u),w) = L(x * T(x \ y,w),z,u). [back_rewrite(152818),rewrite([377063(3),9005(3),152820(5)]),flip(a)]. 377886 (x \ L(y,z,u)) * x = L((x \ y) * x,z,u). [back_rewrite(144790),rewrite([377063(3),2412(3)]),flip(a)]. 378027 K(x,T(T(y * z,u) * a(w,v5,v6),u)) = K(x,y * (a(w,v5,v6) * z)). [back_rewrite(45453),rewrite([377297(7)])]. 378028 K(x,T(L(y,z,u) * w,v5)) = K(x,T(y * w,v5)). [back_rewrite(37089),rewrite([377297(5),3016(4)]),flip(a)]. 378054 K(x,L(y,z,u) \ w) = K(x,y \ w). [back_rewrite(263314),rewrite([377332(4),38111(3)]),flip(a)]. 378058 K(x,y \ (L(z,u,w) \ v5)) = K(x,y \ (z \ v5)). [back_rewrite(147587),rewrite([378054(5),34929(4)]),flip(a)]. 378214 K(x,y * (z * L(u,w,v5))) = K(x,y * (z * u)). [back_rewrite(288761),rewrite([377524(6),376915(6),229(5),377524(3)]),flip(a)]. 378215 K(x,a(y,z,u) * (w * v5)) = K(x,w * (v5 * a(y,z,u))). [back_rewrite(288760),rewrite([377524(4)])]. 378371 K(x,T(y,z \ u) * ((1 / z) * u)) = K(x,z \ (u * y)). [back_rewrite(76208),rewrite([377524(12),75008(12)])]. 378405 K(x,T(y,z) * (z * u)) = K(x,z * (y * u)). [back_rewrite(37467),rewrite([377524(5),37868(5),377524(7)])]. 378415 K(x,T(y,z / u) * (z * (1 / u))) = K(x,z * ((1 / u) * y)). [back_rewrite(199349),rewrite([377539(8)])]. 378475 K(L(x,y,z) \ u,w) = K(x \ u,w). [back_rewrite(366080),rewrite([377626(5),105549(4)]),flip(a)]. 378476 K(x \ (L(y,z,u) \ w),v5) = K(x \ (y \ w),v5). [back_rewrite(365706),rewrite([378475(5),365555(4)]),flip(a)]. 378516 K(x,y) * (x \ (z * (L(z,u,w) \ x))) = x \ T(z * (L(z,u,w) \ x),y). [back_rewrite(314082),rewrite([377644(11)])]. 378715 K(x,y \ L(z,u,w)) = K(x,y \ z). [back_rewrite(148989),rewrite([378028(6),244454(5),76524(4),3560(3)]),flip(a)]. 378730 L(T(x,y),z,u) \ (w / x) = T(x,y) \ (w / L(x,z,u)). [back_rewrite(361880),rewrite([378054(7),362150(7),9084(5),43870(5)])]. 378936 K(x,y \ ((z * u) \ w)) = K(x,y \ (u \ (z \ w))). [back_rewrite(34984),rewrite([378054(6),378054(5),378054(9)])]. 379045 K(x,y * (T(z,y) * u)) = K(x,z * (y * u)). [back_rewrite(54567),rewrite([378405(4)]),flip(a)]. 379052 K(x,y * ((y * z) \ u)) = K(x,T(z,y) \ u). [back_rewrite(202607),rewrite([378936(7),377578(7),801(2),11251(4)]),flip(a)]. 379070 K((x \ ((x / y) * z)) * u,w) = K((y \ z) * u,w). [back_rewrite(373231),rewrite([378475(5),374267(3)]),flip(a)]. 379071 K(((x * y) \ x) * z,u) = K(y \ z,u). [back_rewrite(373230),rewrite([378475(5),379070(8)]),flip(a)]. 379099 K(x \ ((y * z) \ u),w) = K(x \ (z \ (y \ u)),w). [back_rewrite(365600),rewrite([378475(6),378475(5),378475(9)])]. 379249 (L(x,y,z) \ u) * L(x,y,z) = (x \ u) * x. [back_rewrite(49760),rewrite([378475(7),2412(7)])]. 379409 x * (L(y,z,u) / x) = L(x * (y / x),z,u). [back_rewrite(49768),rewrite([378715(3),76210(3),238(2),197(3)]),flip(a)]. 379420 (x * y) / L(y,z,u) = y * (L(y,z,u) \ x). [back_rewrite(162933),rewrite([378730(5),8504(6),242321(5)])]. 379654 K(x,y * (z * u)) * ((y * z) * w) = (y * z) * (K(x,u * (y * z)) * w). [back_rewrite(377594),rewrite([379045(4)])]. 379675 K(x * ((x * y) \ z),u) = K(T(y,x) \ z,u). [back_rewrite(365759),rewrite([379099(7),375087(7),801(2),105212(4)]),flip(a)]. 379683 K(x * (R(y,z,u) \ w),v5) = K(x * (y \ w),v5). [back_rewrite(373084),rewrite([379071(7),6385(5),374267(5),324(2)]),flip(a)]. 379947 (x * ((y \ z) \ 1)) / (z \ y) = ((y \ z) \ 1) * ((z \ y) \ x). [back_rewrite(345967),rewrite([379420(6),335463(6)]),flip(a)]. 379966 (L(x,y,z) \ x) * (L(x,y,z) \ x) = x * (L(x,y,z) \ (L(x,y,z) \ x)). [back_rewrite(305196),rewrite([379420(5)]),flip(a)]. 379970 R(x,y,x) * (x \ z) = x * (L(x,y,x) \ z). [back_rewrite(297996),rewrite([379420(3)]),flip(a)]. 380042 (x * (L(x,y,z) \ u)) * T(x,u) = T(x,u) * (L(x,y,z) \ (u * x)). [back_rewrite(296573),rewrite([379420(3)])]. 380225 (x * y) / L(T(x,y),z,u) = x * (L(x,z,u) \ y). [back_rewrite(296121),rewrite([379420(7)])]. 380247 R(x,y \ L(y,z,u),y) = L(x,y,y * L(y,z,u)). [back_rewrite(292938),rewrite([379420(6),351037(6)]),flip(a)]. 380252 x * (L(x,y,y) \ y) = R(y,y,x). [back_rewrite(269886),rewrite([379420(3)])]. 380254 (x * (L(x,y,z) \ u)) \ (x * u) = L(T(x,u),y,z). [back_rewrite(266634),rewrite([379420(3)])]. 380295 K(x,y * (z * (u * K(w,y * (z * u))))) = K(x,T((y * z) * u,w)). [back_rewrite(143007),rewrite([379654(6),40223(5),377524(4),377524(7)])]. 380347 x * (y * (L(y,z,u) \ (L(y,z,u) \ y))) = (L(y,z,u) * L(y \ 1,z,u)) \ x. [back_rewrite(342961),rewrite([379966(5)])]. 380349 (x * (L(x,y,z) \ (L(x,y,z) \ x))) * u = (L(x,y,z) * L(x \ 1,y,z)) \ u. [back_rewrite(307697),rewrite([379966(5)])]. 380350 (x * (L(x,y,z) \ (L(x,y,z) \ x))) \ u = (L(x,y,z) * L(x \ 1,y,z)) * u. [back_rewrite(307692),rewrite([379966(5)])]. 380355 x / (y * (L(y,z,u) \ (L(y,z,u) \ y))) = x * (L(y,z,u) * L(y \ 1,z,u)). [back_rewrite(307672),rewrite([379966(5)])]. 380356 (x \ L(x,y,z)) \ (L(x,y,z) \ x) = x * (L(x,y,z) \ (L(x,y,z) \ x)). [back_rewrite(305195),rewrite([379966(10)])]. 380414 L(x,y,z * L(L(T(u,w),v5,v6),v7,v8)) = L(x,y,z * L(L(u,v5,v6),v7,v8)). [back_rewrite(169254),rewrite([380254(5)])]. 380418 T(x * (L(x,y,z) \ u),x) = L(x,y,z) \ (u * x). [back_rewrite(163420),rewrite([380254(5),162919(4),162930(4)]),flip(a)]. 380545 T(x,y * L(z,u,w)) = T(x,y * z). [para(376813(a,1),149(a,1,2)),rewrite([149(3)]),flip(a)]. 380548 T(x,T(y * L(z,u,w),v5)) = T(x,T(y * z,v5)). [para(376813(a,1),186(a,1,2,2)),rewrite([7726(5),26653(4),380545(6),7772(5)]),flip(a)]. 380561 K(x,y * ((z * u) \ w)) = K(x,y * (u \ (z \ w))). [para(11892(a,1),376813(a,1,2,2))]. 380564 K(x,y * (z \ (u \ (w \ ((w * u) * v5))))) = K(x,y * (L(z,u,w) \ v5)). [para(25021(a,1),376813(a,1,2,2)),rewrite([380561(7),380561(7)])]. 380580 K(x,y * ((z \ u) \ w)) = K(x,y * (u \ (z * w))). [para(60487(a,1),376813(a,1,2,2)),flip(a)]. 380581 K(x,y * ((1 / z) * u)) = K(x,y * (z \ u)). [para(65410(a,1),376813(a,1,2,2)),rewrite([288590(6),288590(9)])]. 380622 K(x,y * a(z,u,w)) = K(x,y). [para(256868(a,1),376813(a,1,2,2)),rewrite([358457(7)])]. 380645 T(x,y * (z \ L(z,u,w))) = T(x,y). [back_rewrite(349874),rewrite([380545(4),53(2)]),flip(a)]. 380648 T(x,L(y,z,u) * w) = T(x,y * w). [back_rewrite(344755),rewrite([380545(7),51(5),60848(4),324(3)]),flip(a)]. 380740 T(x,T(L((y \ 1) \ 1,z,u) * (w * (L(y,z,u) \ 1)),w * y)) = T(x,w). [back_rewrite(250338),rewrite([380545(13)])]. 380904 T(x,T(L(y,z,u) / w,v5)) = T(x,T(y / w,v5)). [back_rewrite(195779),rewrite([380548(6),53(3)]),flip(a)]. 380915 K(x,y * (z \ (y \ u))) = K(x,T(z,y) \ u). [back_rewrite(379052),rewrite([380561(4)])]. 380978 K(x,((y * z) \ u) * w) = K(x,(z \ (y \ u)) * w). [back_rewrite(12430),rewrite([380561(7),229(7)]),flip(a)]. 381027 K(x,T(y,z / u) * (z * (1 / u))) = K(x,z * (u \ y)). [back_rewrite(378415),rewrite([380581(12)])]. 381028 K(x,y \ (z * u)) = K(x,(y \ z) * u). [back_rewrite(378371),rewrite([380581(7),229(5)]),flip(a)]. 381131 K(x,T(a(y,z,u) * w,v5)) = K(x,T(w,v5)). [back_rewrite(142818),rewrite([380622(4)]),flip(a)]. 381153 K(x,a(y,z,u) * w) = K(x,w). [back_rewrite(6597),rewrite([380622(6)])]. 381171 L(x,y,x * L(x,z,u)) = x. [back_rewrite(350346),rewrite([380645(6),412(3),50(2)]),flip(a)]. 381173 (L(x,y,z) * u) / T(x,u) = (u / x) * L(x,y,z). [back_rewrite(350279),rewrite([380645(6)])]. 381185 T((x / y) * L(y,z,u),y) = y \ (x * L(y,z,u)). [back_rewrite(350263),rewrite([380645(5),159862(4)]),flip(a)]. 381213 R(x \ L(x,y,z),u,w) = L(x \ L(x,y,z),u,w). [back_rewrite(318642),rewrite([380645(4),410(2),56(6)]),flip(a)]. 381296 T(x,T(L(y,z,u) \ L(y,w,v5),y * v6)) = T(x,T(L(y,z,u) \ L(y,w,v5),v6)). [back_rewrite(311069),rewrite([380648(6)])]. 381302 T(x,(y * z) * u) = T(x,y * (z * u)). [back_rewrite(301704),rewrite([380648(4)]),flip(a)]. 381372 L(x,y,L(x,z,u)) = L(x,y,x). [back_rewrite(162179),rewrite([380648(5),80213(4)]),flip(a)]. 381432 T(x,((y * z) \ (y * u)) * w) = T(x,(z \ u) * w). [back_rewrite(129958),rewrite([380648(4)]),flip(a)]. 381434 T(x,((y * z) \ y) * u) = T(x,z \ u). [back_rewrite(129954),rewrite([380648(5),92038(4)]),flip(a)]. 381459 T(L(x,y,z) * (x \ u),x) = x \ (u * L(x,y,z)). [back_rewrite(49037),rewrite([380648(5),51(3),159862(4)]),flip(a)]. 381611 T(x,y \ L(z,u,w)) = T(x,y \ z). [back_rewrite(115414),rewrite([380904(4),115174(3)]),flip(a)]. 381855 x * K((y \ z) * u,(u \ (z \ y)) * x) = ((z \ y) \ u) * (x / ((z \ y) \ u)). [back_rewrite(373251),rewrite([381028(6)])]. 381958 K(x,(y \ z) * (z \ u)) = K(x,y \ u). [back_rewrite(336007),rewrite([381028(6),380581(6)])]. 382017 K(x,(y \ a(z,u,w)) * v5) = K(x,y \ v5). [back_rewrite(295207),rewrite([381028(4),381153(8)])]. 382083 K(x \ y,(y / x) \ z) = K(x \ y,(y \ x) * z). [back_rewrite(250429),rewrite([381028(8)])]. 382309 K(x,y / (z \ u)) = K(x,y * (u \ z)). [back_rewrite(92138),rewrite([381028(5),410(4)]),flip(a)]. 382354 x * K(y \ z,(z \ y) * x) = (y \ z) * (x / (y \ z)). [back_rewrite(74632),rewrite([381028(4)])]. 382462 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [back_rewrite(60845),rewrite([381028(6)])]. 382469 (x * (y / x)) * a(z,u,w) = x * ((y * a(z,u,w)) / x). [back_rewrite(289267),rewrite([381153(5),17508(5)])]. 382493 K(x,T(y * a(z,u,w),v5)) = K(x,T(y,v5)). [back_rewrite(15498),rewrite([381131(4)]),flip(a)]. 382500 T((x \ (a(y,z,u) \ x)) \ w,v5) \ w = K(v5,w) * (x \ (a(y,z,u) \ x)). [back_rewrite(297132),rewrite([381153(9)])]. 382507 R(a(x,y,z),u,w) = L(a(x,y,z),u,w). [back_rewrite(243755),rewrite([381153(4),77(4),49(3)])]. 382517 (T(x,y) * a(z,u,w)) \ v5 = T(x * a(z,u,w),y) \ v5. [back_rewrite(43865),rewrite([381153(5),12008(5)])]. 382549 K(x,y * (z * a(u,w,v5))) = K(x,y * z). [back_rewrite(378215),rewrite([381153(4)]),flip(a)]. 382571 K(x,y \ a(z,u,w)) = K(x,y \ 1). [back_rewrite(295527),rewrite([381153(5),123324(3)]),flip(a)]. 382572 K(x,y / ((z \ (a(u,w,v5) \ z)) * v6)) = K(x,y / v6). [back_rewrite(295526),rewrite([381153(10)])]. 382575 T(a(x,y,z) * u,w) \ u = T(u,w) \ (a(x,y,z) \ u). [back_rewrite(294070),rewrite([381153(4),269639(5),293639(4)]),flip(a)]. 382630 R(L(x,y,z) \ x,u,w) = L(L(x,y,z) \ x,u,w). [back_rewrite(349595),rewrite([381213(6),305185(9)]),flip(a)]. 382636 L(x \ L(x,y,z),x * L(x,u,w),v5) * ((L(x,u,w) \ x) * v5) = (L(x,u,w) \ L(x,y,z)) * v5. [back_rewrite(345489),rewrite([381213(5),82976(5)])]. 382653 a(x,y,z) \ L(a(x,y,z),u,w) = a(a(x,y,z),u,w). [back_rewrite(339341),rewrite([381213(6),305326(9)])]. 382747 x * (T(y,x) * (z \ L(z,u,w))) = (y * (z \ L(z,u,w))) * x. [back_rewrite(318584),rewrite([381213(4),24258(5)])]. 382761 L(x \ L(x,y,y),a(y,y,x),z) * z = a(y,y,x) \ z. [back_rewrite(308608),rewrite([381213(4)])]. 382773 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). [back_rewrite(306851),rewrite([381213(4),382630(11)])]. 382788 L(L(x \ L(x,y,z),u,w),v5,x * L(x,y,z)) = L(x \ L(x,y,z),u,w). [back_rewrite(293168),rewrite([381213(3),381213(9)])]. 382789 x * L(x \ L(T(x,y),z,u),w,v5) = T(x * L(x \ L(x,z,u),w,v5),y). [back_rewrite(287476),rewrite([381213(4),131855(5),381213(8)])]. 382956 T(x,y * (z * L(u,w,v5))) = T(x,y * (z * u)). [back_rewrite(301699),rewrite([381302(6),380648(6),220(5),381302(3)]),flip(a)]. 382978 T(x,T((y * z) * u,y)) = T(x,z * (u * y)). [back_rewrite(301520),rewrite([381302(7)])]. 383261 T(x,T(y,z) * (z * u)) = T(x,z * (y * u)). [back_rewrite(8978),rewrite([381302(4),381302(7)])]. 383739 K(x,y * (a(z,u,w) * v5)) = K(x,y * v5). [back_rewrite(378027),rewrite([382493(6),26853(4),2739(4)]),flip(a)]. 383745 a(x,y,z) * (u * a(a(x,y,z),w,v5)) = u * L(a(x,y,z),w,v5). [back_rewrite(345344),rewrite([382507(7)])]. 383754 (x \ 1) * T(y,x \ a(x,z,u)) = y * (x \ 1). [back_rewrite(340453),rewrite([382507(2),339108(6)]),flip(a)]. 383758 a(a(x,y,z),u,w) \ (a(x,y,z) \ 1) = L(a(x,y,z),u,w) \ 1. [back_rewrite(339928),rewrite([382507(8)])]. 383761 a(a(x,y,z),u,w) * ((v5 * a(x,y,z)) * v6) = (v5 * L(a(x,y,z),u,w)) * v6. [back_rewrite(339762),rewrite([382507(8)])]. 383765 a(x,y,z) * (a(a(x,y,z),u,w) * v5) = L(a(x,y,z),u,w) * v5. [back_rewrite(339659),rewrite([382507(7)])]. 383773 a(x,y,L(a(z,u,w),v5,v6)) = a(x,y,a(z,u,w)). [back_rewrite(339263),rewrite([382507(2)])]. 383775 a(L(a(x,y,z),u,w),v5,v6) = a(a(x,y,z),v5,v6). [back_rewrite(339231),rewrite([382507(2)])]. 383788 a(x,y,z) * a(a(x,y,z),u,w) = L(a(x,y,z),u,w). [back_rewrite(301337),rewrite([382507(6)])]. 383795 R(a(x,y,z) \ 1,u,w) * v5 = L(a(x,y,z) \ 1,u,w) * v5. [back_rewrite(295044),rewrite([382507(2),295028(9),150508(9),6706(3)]),flip(a)]. 383865 x * (T(y,x) * a(z,u,w)) = (a(z,u,w) * y) * x. [back_rewrite(102120),rewrite([382507(3),24258(4)])]. 383870 a(a(x,y,z),u,w) * a(x,y,z) = L(a(x,y,z),u,w). [back_rewrite(20089),rewrite([382507(6)])]. 383884 T(x * a(y,z,u),w) \ x = T(x,w) \ (a(y,z,u) \ x). [back_rewrite(294348),rewrite([382517(4)])]. 383898 (a(x,y,z) * T(u,w)) \ v5 = T(u * a(x,y,z),w) \ v5. [back_rewrite(165016),rewrite([382517(4)]),flip(a)]. 383910 K(x,a(y,z,u) \ w) = K(x,w). [back_rewrite(51930),rewrite([382517(6),6592(4),801(2)]),flip(a)]. 384005 K(x,a(y,z,u) / w) = K(x,w \ 1). [back_rewrite(36388),rewrite([382571(6)])]. 384019 K(a(x,y,z) * u,w) = K(u,w). [back_rewrite(293997),rewrite([382575(4),294067(10)]),flip(a)]. 384063 L(L(x,y,z) \ x,x * L(x,y,z),u) * u = (x \ L(x,y,z)) \ u. [back_rewrite(306704),rewrite([382630(5),82976(5)])]. 384069 x / L(L(L(y,z,u) \ y,w,v5),v6,v7) = L(L(L(y,z,u) \ y,w,v5),v6,v7) \ x. [back_rewrite(290937),rewrite([382630(3),382630(8)])]. 384071 L(T(x,y),z,u) * L(L(x,z,u) \ x,w,v5) = T(L(x,z,u) * L(L(x,z,u) \ x,w,v5),y). [back_rewrite(287266),rewrite([382630(5),382630(10)])]. 384079 L(L(L(x,y,z) \ x,u,w),v5,x * L(x,y,z)) = L(L(x,y,z) \ x,u,w). [back_rewrite(267602),rewrite([382630(3),382630(9)])]. 384094 (x * L(x \ (a(y,z,u) \ x),w,v5)) * a(y,z,u) = x * a(a(y,z,u),w,v5). [back_rewrite(343580),rewrite([382653(11)])]. 384095 L(a(x,y,z),u,w) \ a(x,y,z) = a(a(x,y,z),u,w) \ 1. [back_rewrite(339783),rewrite([382653(4),5530(3)]),flip(a)]. 384107 L(R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)),x,y * z) = a(a(x,y,z),u,w). [back_rewrite(305845),rewrite([382653(12)])]. 384113 L(x \ (a(y,z,u) \ x),w,v5) * (x * a(y,z,u)) = a(a(y,z,u),w,v5) * x. [back_rewrite(294300),rewrite([382653(11)])]. 384117 L(x,y,a(z,u,w) * (v5 * L(a(z,u,w),v6,v7))) = L(x,y,v5). [back_rewrite(161117),rewrite([382653(4),20156(4)]),flip(a)]. 384121 (x * (y \ L(y,z,u))) * y = (y \ L(y,z,u)) * (x * y). [back_rewrite(350559),rewrite([382747(5)])]. 384131 T(x,y) * L(x \ L(x,z,u),w,v5) = T(x * L(x \ L(x,z,u),w,v5),y). [back_rewrite(131855),rewrite([382789(10)])]. 384332 L(x,y,a(y,z,u)) * (y \ a(y,z,u)) = a(y,z,u) * (x * (y \ 1)). [back_rewrite(340329),rewrite([383754(7)]),flip(a)]. 384368 L(a(x,y,z) \ 1,a(x,y,z),u) * w = w * (u \ (a(x,y,z) \ u)). [back_rewrite(294158),rewrite([383795(6)])]. 384385 ((x * y) / x) * (a(z,u,w) * x) = (a(z,u,w) * x) * y. [back_rewrite(33439),rewrite([383865(9)])]. 384388 L(a(x,y,z),u,w) * (u * w) = (a(x,y,z) * u) * w. [back_rewrite(24754),rewrite([383865(8)])]. 384396 T(x * a(y,z,u),w) \ K(v5,T(x,w)) = T(T(x,w) * a(y,z,u),v5) \ 1. [back_rewrite(322681),rewrite([383898(6),383898(12)])]. 384404 T(x * a(y,z,u),w) \ (T(x,w) * v5) = (x * a(y,z,u)) \ (x * v5). [back_rewrite(197097),rewrite([383898(6)])]. 384419 (x \ T(a(y,z,u) \ x,w)) \ T(x,v5) = a(y,z,u) * (K(w,x) * T(x,v5)). [back_rewrite(294645),rewrite([383910(10)])]. 384444 K(x,y \ (a(z,u,w) \ v5)) = K(x,y \ v5). [back_rewrite(34959),rewrite([383910(4)]),flip(a)]. 384488 K(x * (a(y,z,u) * w),v5) = K(x * w,v5). [back_rewrite(372198),rewrite([384019(4)]),flip(a)]. 384491 K(x * (y * a(z,u,w)),v5) = K(x * y,v5). [back_rewrite(371394),rewrite([384019(4)]),flip(a)]. 384511 x \ T(a(y,z,u) * x,w) = a(y,z,u) * K(x,w). [back_rewrite(240764),rewrite([384019(8)])]. 384512 x \ T(x * a(y,z,u),w) = a(y,z,u) * K(x,w). [back_rewrite(237328),rewrite([384019(8)])]. 384540 K(x * a(y,z,u),w) = K(x,w). [back_rewrite(6594),rewrite([384019(3)]),flip(a)]. 384547 a(a(x,y,z),u,w) \ a(x,y,z) = L(a(x,y,z) \ 1,u,w) \ 1. [back_rewrite(294597),rewrite([384095(5),29190(6)])]. 384552 L(x,y,z * (a(u,w,v5) * L(a(u,w,v5),v6,v7))) = L(x,y,z). [back_rewrite(163835),rewrite([384117(6)]),flip(a)]. 384623 x * (R(T(y,x),z,u) * a(w,v5,v6)) = (a(w,v5,v6) * R(y,z,u)) * x. [back_rewrite(132715),rewrite([384385(8)]),flip(a)]. 384632 K(a(x,y,z) \ u,w) = K(u,w). [back_rewrite(294643),rewrite([384419(6),38175(9),2717(3),959(2)]),flip(a)]. 384693 (x * a(y,z,u)) * T(w,x) = w * (x * a(y,z,u)). [back_rewrite(224994),rewrite([384540(9),314951(9),52(6),257597(5)])]. 384699 (x * a(y,z,u)) * R(w,x,a(y,z,u)) = a(y,z,u) * (x * w). [back_rewrite(20391),rewrite([384540(4),149(3),410(3)]),flip(a)]. 384778 L(x,y,z * L(a(u,w,v5),v6,v7)) = L(x,y,a(u,w,v5) * z). [back_rewrite(351394),rewrite([384552(8),83407(3)]),flip(a)]. 384785 L(a(x,y,z),R(u,w,v5),v6) = L(a(x,y,z),L(u,w,v5),v6). [back_rewrite(151421),rewrite([384623(5),57(7),215709(3),382507(3)]),flip(a)]. 384802 K(x \ (a(y,z,u) \ w),v5) = K(x \ w,v5). [back_rewrite(365578),rewrite([384632(4)]),flip(a)]. 384812 T(a(x,y,z) \ u,w) * a(x,y,z) = T(u,w). [back_rewrite(9040),rewrite([384632(8),149(7)])]. 384820 K(x,y) * ((y * a(z,u,w)) * x) = x * (y * a(z,u,w)). [back_rewrite(257597),rewrite([384693(9)])]. 384828 L(x,(y * a(z,u,w)) * v5,v6) = L(x,a(z,u,w) * (y * v5),v6). [back_rewrite(102375),rewrite([384699(5)]),flip(a)]. 384876 a(x,y,z) * T(a(x,y,z) \ u,w) = T(u,w). [back_rewrite(224955),rewrite([384812(5),11427(3),11492(3)]),flip(a)]. 384895 (a(x,y,z) \ u) * T((a(x,y,z) \ u) \ w,v5) = u * T(u \ w,v5). [back_rewrite(7588),rewrite([384876(10)])]. 384955 a(x,y,z) \ (a(a(x,y,z),u,w) \ 1) = L(a(x,y,z),u,w) \ 1. [para(382507(a,2),165661(a,1,2,1)),rewrite([382507(3),384095(5)])]. 384956 L(a(x,y,z),a(x,y,z) \ (u \ w),u) \ w = (a(x,y,z) \ (w / u)) * u. [para(382507(a,1),168799(a,1,1))]. 384961 (a(x,y,z) * u) * T(w,u) = w * (u * a(x,y,z)). [para(382507(a,1),203704(a,1,1)),rewrite([15015(4)]),flip(a)]. 384969 x * T(y,a(z,u,w) * x) = y * x. [para(382507(a,1),203630(a,1,1)),rewrite([15117(6)]),flip(a)]. 384977 a(a(x,y,z),u,w) * (a(x,y,z) \ v5) = v5 * L(v5 \ (a(x,y,z) \ v5),u,w). [para(382507(a,2),307607(a,1,1,2)),rewrite([382507(3),382653(4)])]. 384978 L(a(x,y,z),u,w) \ L(a(x,y,z),v5,v6) = a(a(x,y,z),u,w) \ a(a(x,y,z),v5,v6). [para(382507(a,2),344103(a,1,1,2)),rewrite([382507(3),382653(4),384095(6),29190(7)]),flip(a)]. 384979 a(a(x,y,z),u,w) * (a(x,y,z) * v5) = v5 * L(a(x,y,z),u,w). [para(382507(a,2),349543(a,1,1,2)),rewrite([382507(3),382653(4),382653(10),383745(10)])]. 384980 L(L(a(x,y,z),u,w) \ 1,u,w) = a(x,y,z) \ 1. [para(382507(a,2),160420(a,1,1,2)),rewrite([382507(3),382653(4),28988(7),383758(6)])]. 385006 L(x,y,a(z,u,w)) * (a(z,u,w) * y) = (x * y) * a(z,u,w). [back_rewrite(17830),rewrite([384969(4)]),flip(a)]. 385017 T(x,y) * a(z,u,w) = T(x * a(z,u,w),y). [hyper(18642,a,384961,a),rewrite([15003(4),9084(8),7763(7)]),flip(a)]. 385056 a(x,y,z) * T(u,w) = T(u * a(x,y,z),w). [hyper(7088,a,350548,a(flip),b,384961,a),rewrite([292972(7),381611(6),323(4),408(5),292972(7),350483(12),385017(6)])]. 385067 a(x,y,z) * R(T(u,w),v5,v6) = T(a(x,y,z) * R(u,v5,v6),w). [hyper(7088,a,132440,a(flip),b,384961,a),rewrite([6492(5),106595(5),6492(6),9084(10),106621(9)]),flip(a)]. 385096 x \ (y * ((x * a(z,u,w)) / y)) = K(y,y \ x) * a(z,u,w). [hyper(7088,a,7776,a(flip),b,384961,a),rewrite([44462(7),36595(6),50954(7),3856(6),186123(5),44462(7),36595(6),50954(7),3856(6),382469(8)]),flip(a)]. 385118 T(x,y * a(z,u,w)) = T(x,y). [hyper(7088,a,384961,a,b,11786,a),rewrite([385056(5),27781(6),561(4),385056(8),60(13),24258(14),547(10),385056(11),410(12),9084(12),380622(8),384540(6),168(5)])]. 385434 L(a(x,y,z) * u,w,v5) = L(u * a(x,y,z),w,v5). [hyper(5083,a,13654,a(flip),b,384961,a),rewrite([38421(9),70(2),48(5),60(7),79452(6)]),flip(a)]. 385453 T(x / (y * a(z,u,w)),y) = (a(z,u,w) * y) \ x. [hyper(5083,a,53,a(flip),b,384961,a),flip(a)]. 385459 T(x,y \ a(z,u,w)) = T(x,y \ 1). [hyper(5083,a,384961,a,b,174405,a),rewrite([384961(12),58(10),385118(5)]),flip(a)]. 385509 (a(x,y,z) * L(u,w,v5)) * (u \ 1) = u * (L(u \ 1,w,v5) * a(x,y,z)). [hyper(5081,a,292801,a,b,384961,a),rewrite([292801(6),6174(15),14382(15),206772(12)]),flip(a)]. 385515 (a(x,y,z) * (u / w)) * w = w * ((w \ u) * a(x,y,z)). [hyper(5081,a,134854,a,b,384961,a),rewrite([134854(8),14229(10)]),flip(a)]. 385521 (a(x,y,z) * u) * (1 / u) = u * ((1 / u) * a(x,y,z)). [hyper(5081,a,66975,a,b,384961,a),rewrite([66975(5),3334(12),90191(13)]),flip(a)]. 385522 (a(x,y,z) * u) * R(T(w,u),v5,v6) = R(w,v5,v6) * (u * a(x,y,z)). [hyper(5081,a,62761,a,b,384961,a),rewrite([62761(6),61(8)]),flip(a)]. 385528 T(x * a(y,z,u),w) * T(w,x) = (x * a(y,z,u)) * w. [hyper(5081,a,24258,a,b,384961,a),rewrite([24258(4),385017(3),410(4),385056(6),196(8)]),flip(a)]. 385553 (a(x,y,z) * a(x,y,z)) * (u \ 1) = u \ (a(x,y,z) * a(x,y,z)). [hyper(5081,a,62166,a(flip),b,384961,a),rewrite([561(11)]),flip(a)]. 385571 ((x * y) / x) * (x * a(z,u,w)) = (x * a(z,u,w)) * y. [hyper(5081,a,384961,a,b,32795,a),rewrite([385056(3),196(5),385528(5)]),flip(a)]. 385579 ((a(x,y,z) * u) \ w) * (u * a(x,y,z)) = a(x,y,z) * ((u \ (a(x,y,z) \ w)) * u). [hyper(295,a,165,a,b,384961,a),rewrite([165(7),255(7),410(6)]),flip(a)]. 385582 (a(x,y,z) * u) * (T(w,u) * K(v5,v6)) = w * (u * (K(v5,v6) * a(x,y,z))). [hyper(295,a,9566,a(flip),b,384961,a),rewrite([33580(7),7725(10)])]. 385583 a(x,y,z) * ((u \ (a(x,y,z) \ w)) * u) = (u \ w) * u. [hyper(295,a,8764,a(flip),b,384961,a),rewrite([6385(4),384802(4),2412(3),385579(8)]),flip(a)]. 385614 a(x,y,a(z,u,w)) \ 1 = a(a(z,u,w),y,x). [hyper(7088,a,384961,a(flip),b,7687,a),rewrite([13983(3),410(5),547(6),410(5),293797(9)]),flip(a)]. 385616 T(a(x,y,z) * (u * K(w,u)),w) = u * a(x,y,z). [hyper(7088,a,384961,a(flip),b,13996,a(flip)),rewrite([959(3),2045(3),385017(9),8513(10),384820(10),50(9)])]. 385620 a(a(x,y,z),u,w) * a(w,u,a(x,y,z)) = 1. [hyper(7049,a,8385,a(flip),b,384961,a(flip)),rewrite([7729(5),8415(14),384961(12),16927(13),12009(10),19453(9),19453(8),70720(10),385614(4)])]. 385631 T(x,a(y,z,u) * w) = T(x,w). [hyper(5142,a,845,a(flip),b,384961,a(flip)),rewrite([210712(7),11(3),49(3)]),flip(a)]. 385657 T(x,a(y,z,u) \ w) = T(x,w). [hyper(5083,a,384961,a(flip),b,7776,a),rewrite([6706(2),6592(4),58(2),383910(5),11(3),6706(4),48(6)]),flip(a)]. 385689 x * (K(y,y \ 1) * a(z,u,w)) = (y * (a(z,u,w) / y)) * x. [para(197(a,1),384961(a,1,1)),rewrite([382571(6),44462(7),48(5),948(4),408(5),382571(7)]),flip(a)]. 385691 T(x,T(T(y,z),z) * (a(u,w,v5) * z)) = T(x,y * (z * a(u,w,v5))). [para(384961(a,1),220(a,2,2)),rewrite([385631(4)])]. 385699 T(x,T(y,z) * (a(u,w,v5) * z)) = T(x,z * (a(u,w,v5) * y)). [para(384961(a,1),262(a,1,2,1)),rewrite([2948(6),4758(5),381302(4)]),flip(a)]. 385708 (a(x,y,z) * a(u,w,v5)) * v6 = v6 * (a(u,w,v5) * a(x,y,z)). [para(561(a,1),384961(a,1,2))]. 385741 (a(x,y,z) * a(u,w,v5)) * v6 = v6 * (a(x,y,z) * a(u,w,v5)). [para(1143(a,1),384961(a,2,2)),rewrite([561(5)])]. 385754 a(x,a(y,z,u),w) \ 1 = a(w,a(y,z,u),x). [para(384961(a,2),18461(a,1,1)),rewrite([385118(4),385056(3),385118(6),196(5),385528(5),561(5),293794(7)])]. 385762 (x * ((a(y,z,u) * a(y,z,u)) * w)) \ v5 = (a(y,z,u) * a(y,z,u)) \ ((x * w) \ v5). [para(384961(a,2),11968(a,1,1,2)),rewrite([561(5)])]. 385855 T(x * a(y,z,u),w) * T(v5,x) = K(x,w) * (v5 * (x * a(y,z,u))). [para(86499(a,2),384961(a,1,2)),rewrite([86499(5),205829(6),385056(3),7724(10)])]. 385866 R(x,a(y,z,u),w) = L(x,a(y,z,u),w). [para(384961(a,1),1153(a,2,1)),rewrite([11(2),49(2),203025(3),385056(8),21193(9)])]. 385890 R(x,y * a(z,u,w),x) = R(x,y,x). [para(384961(a,2),1735(a,1,1,2,1)),rewrite([384961(4),384491(4),385118(6),1735(4)]),flip(a)]. 385927 T(x,y * (z * a(u,w,v5))) = T(x,y * z). [para(384961(a,2),4758(a,2,2)),rewrite([385118(6),382978(5),385631(4),384961(6)]),flip(a)]. 385975 x \ (y * (z * (K(u,w) * a(v5,v6,v7)))) = (x \ (y * (z * a(v5,v6,v7)))) * K(u,w). [para(384961(a,1),60873(a,2,1,2)),rewrite([385582(6)])]. 386006 (x * (K(y,z) * (u * a(w,v5,v6)))) * T(v7,u) = (x * (u * a(w,v5,v6))) * T(K(y,z) * v7,u). [para(384961(a,2),205735(a,2,1)),rewrite([385118(8),384961(11),385118(15)])]. 386015 L(x,y,((a(z,u,w) * v5) * v6) * v7) = L(x,y,(v6 * (v5 * a(z,u,w))) * v7). [para(384961(a,1),218612(a,1,3,1)),flip(a)]. 386057 (x \ a(y,z,u)) * T(w,x \ 1) = w * (x \ a(y,z,u)). [para(268782(a,1),384961(a,2,2)),rewrite([269492(6),547(4),6492(7)])]. 386136 T(x * a(y,z,u),w) \ K(v5,T(x,w)) = T(T(x * a(y,z,u),w),v5) \ 1. [back_rewrite(384396),rewrite([385017(9)])]. 386241 T(x,T(y * a(z,u,w),v5)) = T(x,T(y,v5)). [back_rewrite(224986),rewrite([562(7),253621(8),186440(6),70(2),48(2),385118(3),11427(3),2045(2),186(3),385017(5)]),flip(a)]. 386435 T(T(x * a(y,z,u),w),x \ (T(x,w) \ (a(y,z,u) \ x))) \ 1 = 1 / T(x * a(y,z,u),w). [back_rewrite(294699),rewrite([385056(3),385056(15)])]. 386534 T(x,y \ (a(z,u,w) * v5)) = T(x,y \ v5). [back_rewrite(295754),rewrite([385118(7),381611(5)]),flip(a)]. 386590 (a(x,y,z) * (T(u,w) * w)) \ (T(u,w) * (a(x,y,z) * w)) = a(a(x,y,z),w,u). [back_rewrite(18602),rewrite([385118(4)])]. 386594 T(x,y) * (T(a(z,u,w) * y,x) * v5) = x * ((y * a(z,u,w)) * v5). [back_rewrite(15553),rewrite([385118(3)])]. 386623 L(T(a(x,y,z) \ u,w),a(x,y,z),w) = (a(x,y,z) * w) \ (u * w). [back_rewrite(318215),rewrite([385631(5),385866(5)])]. 386655 T(x,a(y,z,u) / w) = T(x,w \ 1). [back_rewrite(115411),rewrite([385459(6)])]. 386674 L(x,y,a(z,u,w)) * ((a(z,u,w) \ 1) * y) = (x * y) * (a(z,u,w) \ 1). [back_rewrite(295047),rewrite([385657(3),410(2)]),flip(a)]. 386675 ((a(x,y,z) * u) \ w) * (u * a(x,y,z)) = (u \ w) * u. [back_rewrite(385579),rewrite([385583(12)])]. 386696 (x * y) \ (a(z,u,w) \ (x * (y * a(z,u,w)))) = a(a(z,u,w),y,x). [back_rewrite(306378),rewrite([385614(11)])]. 386702 ((x * y) * a(z,u,w)) \ (x * (a(z,u,w) * y)) = a(a(z,u,w),y,x). [back_rewrite(293798),rewrite([385614(11)])]. 386704 (a(x,y,z) * (u * (a(x,y,z) \ w))) \ (u * w) = a(a(x,y,z),a(x,y,z) \ w,u). [back_rewrite(293783),rewrite([385614(13)])]. 386756 a(x,y,a(z,u,w)) \ v5 = v5 * a(a(z,u,w),y,x). [back_rewrite(41588),rewrite([385614(4)]),flip(a)]. 386771 T(x \ (x \ (a(y,z,u) \ x)),x) \ 1 = 1 / (x \ (x \ (a(y,z,u) \ x))). [back_rewrite(294578),rewrite([385631(7)])]. 386772 T((x \ (a(y,z,u) \ x)) * K(w,v5),x) \ x = a(y,z,u) * (x * K(v5,w)). [back_rewrite(294574),rewrite([385631(8)])]. 386817 L(x,a(y,z,u),w) * (w * (a(y,z,u) \ 1)) = w * ((a(y,z,u) \ 1) * T(x,w)). [back_rewrite(295154),rewrite([385657(6)]),flip(a)]. 386824 T(x,y / (a(z,u,w) * v5)) = T(x,y / v5). [back_rewrite(274276),rewrite([385657(8)])]. 386845 a(a(x,y,z),u,w) * (v5 * a(w,u,a(x,y,z))) = v5. [back_rewrite(256056),rewrite([386756(3),385657(8),98617(7),84326(5),50(4),7735(6)])]. 386872 T(x,y \ (z \ (a(u,w,v5) \ v6))) = T(x,y \ (z \ v6)). [back_rewrite(61242),rewrite([385657(7),12024(5),60848(5),386534(5),386534(10)]),flip(a)]. 386876 T(x,y \ (a(z,u,w) \ v5)) = T(x,y \ v5). [back_rewrite(15118),rewrite([385657(4)]),flip(a)]. 386889 T(x,y * (a(z,u,w) * v5)) = T(x,y * v5). [back_rewrite(385691),rewrite([385699(6),385056(3),410(4),381302(4),385927(8)])]. 386929 a(x,a(y,z,u),w) \ v5 = v5 * a(w,a(y,z,u),x). [back_rewrite(75582),rewrite([385754(6),23149(5)]),flip(a)]. 386949 L(a(x,y,z) \ u,a(x,y,z),u \ (a(x,y,z) \ u)) = (a(x,y,z) \ 1) * u. [back_rewrite(348749),rewrite([385866(7)])]. 386953 a(x,a(y,z,u),y) * ((y \ a(y,z,u)) * x) = (y \ 1) * (a(y,z,u) * x). [back_rewrite(340396),rewrite([385866(10),339134(11)])]. 386956 x \ L(x,a(y,z,u),w) = a(x,a(y,z,u),w). [back_rewrite(339937),rewrite([385866(2),292991(7)])]. 386964 a(L(x,a(y,z,u),w),v5,v6) = a(x,v5,v6). [back_rewrite(339284),rewrite([385866(2)])]. 386969 L(x,a(y,z,u),y) * (y \ a(y,z,u)) = (x * a(y,z,u)) * (y \ 1). [back_rewrite(339269),rewrite([385866(2)])]. 386985 x * a(x,a(y,z,u),w) = L(x,a(y,z,u),w). [back_rewrite(301336),rewrite([385866(5)])]. 386987 R(x,y,y) \ (x * z) = x * (R(x,y,y) \ z). [back_rewrite(298867),rewrite([385866(4),102640(4)])]. 386998 x * ((a(y,z,u) \ 1) * T(w,x)) = (w * (a(y,z,u) \ 1)) * x. [back_rewrite(295293),rewrite([385866(2),386817(7)])]. 387001 T(x,y) * (a(z,u,w) \ 1) = T(x * (a(z,u,w) \ 1),y). [back_rewrite(295024),rewrite([385866(6),77320(8),385631(7)]),flip(a)]. 387005 L(a(x,y,z) \ 1,a(x,y,z),(x * y) * z) = ((y * z) * R(x,y,z)) \ ((y * z) * x). [back_rewrite(294405),rewrite([385866(8),104086(8)])]. 387022 ((x \ (a(y,z,u) \ x)) \ w) * L(a(y,z,u) \ 1,a(y,z,u),x) = w. [back_rewrite(294338),rewrite([385866(9)])]. 387159 ((x * y) * R(z,x,y)) \ ((x * y) * z) = ((z * x) * y) \ (z * (x * y)). [back_rewrite(292847),rewrite([385866(7),387005(7)])]. 387203 (x * (y * (z * u))) / ((y * z) * u) = ((y * z) * u) \ ((y * (z * u)) * x). [back_rewrite(210711),rewrite([385866(6),60826(6)]),flip(a)]. 387235 L(x * ((x \ y) * z),a(x,x \ y,z),u) \ ((y * z) * u) = a(x,x \ y,z) * u. [back_rewrite(95575),rewrite([385866(6)])]. 387312 T(x,y / (a(z,u,w) \ v5)) = T(x,y / v5). [back_rewrite(294579),rewrite([386534(6),50(3)]),flip(a)]. 387319 T(x,L(y,z,z) \ u) = T(x,y \ u). [back_rewrite(135718),rewrite([386534(4)]),flip(a)]. 387326 T(x,y \ (z * a(u,w,v5))) = T(x,y \ z). [back_rewrite(61936),rewrite([386534(4)]),flip(a)]. 387365 a(x,y,a(z,u,w)) * a(a(z,u,w),y,x) = 1. [back_rewrite(277539),rewrite([386756(9),70966(10),70966(11),57565(8),48(6)])]. 387456 (x \ a(y,z,a(u,w,v5))) \ 1 = (x \ 1) \ a(a(u,w,v5),z,y). [back_rewrite(345700),rewrite([386756(3),277820(7),66271(7)]),flip(a)]. 387474 (x \ y) * a(a(z,u,w),v5,x) = R(x,v5,a(z,u,w)) \ y. [back_rewrite(339644),rewrite([386756(4)])]. 387555 (a(a(x,y,z),u,w) / v5) \ (1 / v5) = a(w,u,a(x,y,z)). [back_rewrite(301877),rewrite([386756(6),68101(6),192801(6),302519(8),323(6),65899(10),66414(9),356803(7),51(8)])]. 387577 R(x,y,z) * a(a(u,w,v5),v6,v7) = R(x * a(a(u,w,v5),v6,v7),y,z). [back_rewrite(287904),rewrite([386756(5),70966(6),287675(3),386756(7)])]. 387613 a(x,y,a(z,u,w)) * (v5 * (v6 * a(a(z,u,w),y,x))) = v5 * v6. [back_rewrite(265516),rewrite([386756(7),265257(10)])]. 387636 K(x,x \ y) * (a(a(z,u,w),v5,v6) * (y / v7)) = ((x * (y / x)) / v7) * a(a(z,u,w),v5,v6). [back_rewrite(244695),rewrite([386756(5),233915(6),386756(11),227706(13)])]. 387713 R(x,y,a(z,u,a(w,v5,v6)) * v7) = R(x,y,v7). [back_rewrite(217233),rewrite([386756(3),218204(4)]),flip(a)]. 387714 R(x,y,z * (a(u,w,a(v5,v6,v7)) * v8)) = R(x,y,z * v8). [back_rewrite(217230),rewrite([386756(3),338886(5)]),flip(a)]. 387715 R(x,y \ a(a(z,u,w),v5,v6),v7) = R(x,y * a(v6,v5,a(z,u,w)),v7). [back_rewrite(216161),rewrite([386756(5),66271(5)])]. 387808 x / (y * a(a(z,u,w),v5,v6)) = (x / y) * a(v6,v5,a(z,u,w)). [back_rewrite(179794),rewrite([386756(3)])]. 387836 x / L(y * a(z,u,a(w,v5,v6)),v7,v8) = (x / L(y,v7,v8)) * a(a(w,v5,v6),u,z). [back_rewrite(159112),rewrite([386756(5),227706(7),118304(4)]),flip(a)]. 387886 a(a(x,y,z),u,w) * (v5 * (v6 * a(w,u,a(x,y,z)))) = v5 * v6. [back_rewrite(137067),rewrite([386756(4),386756(10),71374(12),227631(13),194477(12),387555(11),7735(6)])]. 388127 L(a(x,y,a(z,u,w)) * v5,v6,v7) \ v8 = (L(v5,v6,v7) \ v8) * a(a(z,u,w),y,x). [back_rewrite(17090),rewrite([386756(10)])]. 388135 a(a(x,y,z),u,w) \ v5 = a(w,u,a(x,y,z)) * v5. [back_rewrite(16127),rewrite([386756(6),70966(7),31147(9)])]. 388159 (a(x,y,a(z,u,w)) / v5) \ 1 = v5 * a(a(z,u,w),y,x). [back_rewrite(12951),rewrite([386756(8)])]. 388171 a(x,y,a(z,u,w)) * (v5 \ a(a(z,u,w),y,x)) = v5 \ 1. [back_rewrite(12879),rewrite([386756(6),338675(6)])]. 388185 (x * (y * a(z,u,a(w,v5,v6)))) \ v7 = ((x * y) \ v7) * a(a(w,v5,v6),u,z). [back_rewrite(12007),rewrite([386756(10)])]. 388186 (x * a(y,z,a(u,w,v5))) \ v6 = (x \ v6) * a(a(u,w,v5),z,y). [back_rewrite(11964),rewrite([386756(8)])]. 388187 (a(x,y,a(z,u,w)) * v5) \ v6 = (v5 \ v6) * a(a(z,u,w),y,x). [back_rewrite(11963),rewrite([386756(7),70966(8)])]. 388213 ((x * (a(y,z,u) \ 1)) * w) \ (x * (w * (a(y,z,u) \ 1))) = a(w,a(y,z,u),x). [back_rewrite(295158),rewrite([386817(7),386998(6)])]. 388215 T(T(x * a(y,z,u),w),x \ K(w,x)) \ 1 = 1 / T(x * a(y,z,u),w). [back_rewrite(386435),rewrite([386872(9),801(5)])]. 388225 T(x,R(y,z,z) \ u) = T(x,y \ u). [back_rewrite(261867),rewrite([386876(4)]),flip(a)]. 388402 (x * a(y,a(z,u,w),v5)) / v6 = x / (v6 * a(v5,a(z,u,w),y)). [back_rewrite(210812),rewrite([386929(7)])]. 388404 (x * (y * a(z,a(u,w,v5),v6))) / v7 = (x * y) / (v7 * a(v6,a(u,w,v5),z)). [back_rewrite(210780),rewrite([386929(9)])]. 388494 a(x,y,a(z,a(u,w,v5),v6) * v7) = a(x,y,v7). [back_rewrite(72942),rewrite([386929(3),265903(4)]),flip(a)]. 388507 (x * a(y,a(z,u,w),v5)) \ v6 = (x \ v6) * a(v5,a(z,u,w),y). [back_rewrite(62627),rewrite([386929(8)])]. 388527 (x * (y * a(z,a(u,w,v5),v6))) \ v7 = ((x * y) \ v7) * a(v6,a(u,w,v5),z). [back_rewrite(29543),rewrite([386929(10)])]. 388598 a(x,y,z) \ T(a(x,y,z) * u,w) = T(u,w). [back_rewrite(295050),rewrite([387001(9),289933(8)]),flip(a)]. 388615 ((x * y) * z) \ ((x * (y * z)) * z) = L(z,y,x). [back_rewrite(163415),rewrite([387203(6)])]. 388622 T(x,(y * a(z,u,w)) / v5) = T(x,y / v5). [back_rewrite(198258),rewrite([387312(8)])]. 388635 T(x,y \ ((z \ 1) \ u)) = T(x,y \ (z * u)). [back_rewrite(173792),rewrite([387319(4)]),flip(a)]. 388651 ((a(x,y,z) \ u) \ w) * T(v5,u \ w) = v5 * ((a(x,y,z) \ u) \ w). [back_rewrite(64521),rewrite([387326(7)])]. 388653 a(x,y,z) \ a(u,w,a(x,y,z)) = L(a(x,y,z),w,u) \ 1. [back_rewrite(384955),rewrite([388135(5),49(5)])]. 388661 L(a(x,y,z),u,w) \ a(x,y,z) = a(w,u,a(x,y,z)). [back_rewrite(384095),rewrite([388135(8),49(8)])]. 388668 a(a(x,y,z),u,w) * (L(v5 \ 1,v6,v7) \ v8) = L(v5 \ a(w,u,a(x,y,z)),v6,v7) \ v8. [back_rewrite(335345),rewrite([388135(4),49(4)]),flip(a)]. 388689 a(a(x,y,z),u,w) * (v5 \ a(w,u,a(x,y,z))) = v5 \ 1. [back_rewrite(273621),rewrite([388135(6),49(6),382507(5),5528(5)])]. 388747 a(x,y,a(z,u,w)) * (v5 * a(a(z,u,w),y,x)) = v5. [back_rewrite(233215),rewrite([387636(11),32713(7),388135(3),7733(6)])]. 388754 R(x,y,z * a(u,w,a(v5,v6,v7))) = R(x,y,z). [back_rewrite(217608),rewrite([387713(7),217240(4)])]. 388758 R(x,y,z * (u * a(w,v5,a(v6,v7,v8)))) = R(x,y,z * u). [back_rewrite(217854),rewrite([387713(8)])]. 388790 x / (y * a(z,u,a(w,v5,v6))) = (x / y) * a(a(w,v5,v6),u,z). [back_rewrite(160128),rewrite([387836(8),52(5)]),flip(a)]. 389042 (x * (y \ a(a(z,u,w),v5,v6))) * (a(v6,v5,a(z,u,w)) * v7) = (x * (y \ 1)) * v7. [back_rewrite(270517),rewrite([388135(7)])]. 389070 a(a(x,y,z),u,w) * (v5 * (v6 * (a(w,u,a(x,y,z)) * v7))) = v5 * (v6 * v7). [back_rewrite(223945),rewrite([388135(5)])]. 389084 (x * x) * (a(y,z,a(u,w,v5)) * v6) = x * ((a(a(u,w,v5),z,y) / x) \ v6). [back_rewrite(194477),rewrite([388135(4)])]. 389187 (L(x \ 1,y,z) \ u) * a(w,v5,a(v6,v7,v8)) = L(x \ a(a(v6,v7,v8),v5,w),y,z) \ u. [back_rewrite(277176),rewrite([388135(6),16927(7)])]. 389190 L(x * a(a(y,z,u),w,v5),v6,v7) \ v8 = (L(x,v6,v7) \ v8) * a(v5,w,a(y,z,u)). [back_rewrite(118285),rewrite([388135(9),16927(10)])]. 389259 (x * (a(a(y,z,u),w,v5) * v6)) \ v7 = ((x * v6) \ v7) * a(v5,w,a(y,z,u)). [back_rewrite(20305),rewrite([388135(9),16927(10)])]. 389268 (x * a(a(y,z,u),w,v5)) \ v6 = (x \ v6) * a(v5,w,a(y,z,u)). [back_rewrite(20287),rewrite([388135(7),16927(8)])]. 389271 (a(a(x,y,z),u,w) * v5) \ v6 = (v5 \ v6) * a(w,u,a(x,y,z)). [back_rewrite(11962),rewrite([388135(7),16927(8)])]. 389273 L(a(x,y,z),u,w) \ L(a(x,y,z),v5,v6) = a(w,u,a(x,y,z)) * a(a(x,y,z),v5,v6). [back_rewrite(384978),rewrite([388135(10)])]. 389275 a(x,y,a(z,u,w)) * a(z,u,w) = L(a(z,u,w) \ 1,y,x) \ 1. [back_rewrite(384547),rewrite([388135(4)])]. 389301 a(a(x,y,z),u,w) * (a(w,u,a(x,y,z)) * v5) = v5. [back_rewrite(328019),rewrite([388135(5),118469(11)])]. 389410 T(x,(y / z) \ u) = T(x,z * (y \ u)). [back_rewrite(249272),rewrite([388225(5),125629(4)])]. 389464 a(x,y * a(z,a(u,w,v5),v6),v7) = a(x,y,v7). [back_rewrite(29574),rewrite([388494(8)])]. 389535 T(x,y \ ((z \ 1) * u)) = T(x,y \ (z \ u)). [back_rewrite(123049),rewrite([388635(7)])]. 389575 L(x \ L(x,y,y * L(y,z,u)),x,L(y,z,u)) = a(x,y * L(y,z,u),y). [back_rewrite(345684),rewrite([388754(6),380247(3)])]. 389716 T(x,y \ ((y \ z) \ u)) = T(x,y * (z \ (y \ u))). [back_rewrite(321520),rewrite([389410(4)]),flip(a)]. 389742 T(x,R(y \ 1,y,z) \ u) = T(x,z * ((y \ z) \ u)). [back_rewrite(271136),rewrite([389410(9)])]. 389824 T(x,y * ((a(z,u,w) * v5) \ v6)) = T(x,y * ((v5 * a(z,u,w)) \ v6)). [back_rewrite(198256),rewrite([389410(5),389410(10)])]. 389874 L(T(x \ y,y \ (x * z)),u,w) = L(T(x \ y,x * (y \ z)),u,w). [back_rewrite(145891),rewrite([389410(4)]),flip(a)]. 390018 T(x,y * ((y * z) \ u)) = T(x,T(z,y) \ u). [back_rewrite(125720),rewrite([389410(4)])]. 390027 T(x,y * (z \ (z / u))) = T(x,y / u). [back_rewrite(122659),rewrite([389410(4)])]. 390048 T(x,x \ (y * z)) = T(x,y * (x \ z)). [back_rewrite(112153),rewrite([389410(3)]),flip(a)]. 390290 T(x,T(a(y,z,u) / (w * (v5 / w)),v5)) = T(x,w * (v5 \ (w \ a(y,z,u)))). [back_rewrite(321808),rewrite([389716(11)])]. 390900 T(x,y * (a(z,u,w) \ v5)) = T(x,y * v5). [para(53(a,1),385927(a,1,2,2)),rewrite([6706(4)]),flip(a)]. 390922 T(x,y * T(z * a(u,w,v5),v6)) = T(x,y * T(z,v6)). [para(7763(a,2),385927(a,1,2,2)),rewrite([7763(4),385017(3)])]. 390938 T(x,y * (z * (a(u,w,v5) * z))) = T(x,z * (z * y)). [para(14463(a,1),385927(a,1,2)),rewrite([390922(8),381302(6),410(4),381302(5),386889(5),381302(9),383261(9),7751(6)]),flip(a)]. 391008 T(x,y * R(z \ 1,z,a(u,w,v5))) = T(x,y * (z \ a(u,w,v5))). [para(268782(a,1),385927(a,1,2,2)),flip(a)]. 391129 ((x * y) * y) \ (x * ((y * y) * y)) = L(y,y,x). [hyper(5081,a,89885,a,b,388615,a),rewrite([89885(4),6(6)]),flip(a)]. 391147 a(x,a(y,z,u),w) * (a(w,a(y,z,u),x) * a(w,a(y,z,u),x)) = a(w,a(y,z,u),x). [hyper(5081,a,5529,a(flip),b,388615,a),rewrite([7734(6),7734(13),7734(12),70953(14),388527(8),323(5),48(6)]),flip(a)]. 391150 (x * (y * (x * y))) * (1 / (x * y)) = L(x * y,y,x). [hyper(295,a,66988,a,b,388615,a),rewrite([66988(11),22473(9),22473(7),23194(4),293736(7),296780(7)])]. 391450 L(x,L(L(y,z,u),w,v5),y) = L(x,y,L(L(y,z,u),w,v5)). [para(148178(a,1),388615(a,1,1,1)),rewrite([163194(8),388615(10)])]. 391602 (x * y) \ ((x / (1 / y)) * y) = L(y,y,y \ x). [para(211798(a,1),388615(a,1,2,1)),rewrite([53(2),26402(8)])]. 391727 T(x,T(a(y,z,u) \ w,v5)) = T(x,T(w,v5)). [para(165(a,2),385631(a,1,2)),rewrite([6706(2),385017(5),6592(4)]),flip(a)]. 391739 x * ((a(y,z,u) * w) * v5) = x * ((w * a(y,z,u)) * v5). [para(385631(a,1),9213(a,1,1)),rewrite([386594(6)]),flip(a)]. 391818 T(x,T(y / ((z * u) * w),v5)) = T(x,T(y / (z * (u * w)),v5)). [back_rewrite(35908),rewrite([391727(7)]),flip(a)]. 391841 T(x,T(((y / z) / u) * z,w)) = T(x,T((y / (u * z)) * z,w)). [back_rewrite(278700),rewrite([391818(7),127329(7)]),flip(a)]. 391849 T(x,y \ ((z * u) \ w)) = T(x,y \ (u \ (z \ w))). [back_rewrite(128377),rewrite([391818(7),127369(7)]),flip(a)]. 392480 (a(x,y,z) * u) * R(w,u,a(x,y,z)) = a(x,y,z) * (u * w). [hyper(5081,a,101962,a(flip),b,391739,a),rewrite([384699(5),203618(9)]),flip(a)]. 392537 ((a(x,y,z) * u) * w) * T(v5,u * w) = v5 * ((u * a(x,y,z)) * w). [hyper(295,a,410,a,b,391739,a),rewrite([381302(7),385631(7)])]. 392857 L(x,(a(y,z,u) * w) * v5,v6) = L(x,a(y,z,u) * (w * v5),v6). [para(391739(a,1),56(a,1,1)),rewrite([220937(10),11(3),48(2),384828(4)]),flip(a)]. 393579 R(x,y,a(z,u,w)) = L(x,y,a(z,u,w)). [hyper(5083,a,392537,a,b,101962,a(flip)),rewrite([547(9),7735(8),301335(7),392480(7),143267(6),11(2),48(2)]),flip(a)]. 394089 (x * (a(y,z,u) \ 1)) * T(w,x) = w * ((a(y,z,u) \ 1) * x). [para(282203(a,1),392537(a,2,2)),rewrite([51(4),6706(3),6706(9),295036(10),12024(9),386876(9),385657(7),393579(10),28098(11)])]. 394146 T(x,y * (z \ a(u,w,v5))) = T(x,y / z). [back_rewrite(391008),rewrite([393579(4),380545(6),123794(4)]),flip(a)]. 394153 (x \ y) * a(a(z,u,w),v5,x) = L(x,v5,a(z,u,w)) \ y. [back_rewrite(387474),rewrite([393579(6)])]. 394186 a(L(x,y,a(z,u,w)),v5,v6) = a(x,v5,v6). [back_rewrite(340321),rewrite([393579(2)])]. 394187 a(x,L(y,z,a(u,w,v5)),v6) = a(x,y,v6). [back_rewrite(340311),rewrite([393579(2)])]. 394189 a(L(L(x,y,a(z,u,w)),v5,v6) * v7,v8,v9) = a(v7 * L(x,v5,v6),v8,v9). [back_rewrite(340065),rewrite([393579(2)])]. 394190 a(L(x,y,a(z,u,w)) * v5,v6,v7) = a(x * v5,v6,v7). [back_rewrite(340046),rewrite([393579(2)])]. 394194 x \ L(x,y,a(z,u,w)) = a(x,y,a(z,u,w)). [back_rewrite(339933),rewrite([393579(4),305008(7),292991(7)])]. 394195 (a(x,y,z) * (a(x,y,z) * x)) \ a(x,y,z) = a(x,y,z) \ (x \ 1). [back_rewrite(339927),rewrite([393579(8),130795(8),547(6)])]. 394196 L(x,y,a(z,u,w)) \ a(x,y,a(z,u,w)) = x \ 1. [back_rewrite(339926),rewrite([393579(2)])]. 394202 a(x * (y * L(z,u,a(w,v5,v6))),v7,v8) = a((z * y) * x,v7,v8). [back_rewrite(339726),rewrite([393579(2)])]. 394205 L(x,L(y,z,a(u,w,v5)),v6) = L(x,y,v6). [back_rewrite(339657),rewrite([393579(2)])]. 394208 x * (a(x,y,a(z,u,w)) * v5) = L(x,y,a(z,u,w)) * v5. [back_rewrite(339636),rewrite([393579(6)])]. 394213 a(x * L(y,z,a(u,w,v5)),v6,v7) = a(y * x,v6,v7). [back_rewrite(339230),rewrite([393579(2)])]. 394232 x * a(x,y,a(z,u,w)) = L(x,y,a(z,u,w)). [back_rewrite(301335),rewrite([393579(5)])]. 394245 (a(x,y,z) \ 1) * L(u \ 1,u,a(x,y,z)) = u \ (a(x,y,z) \ 1). [back_rewrite(294987),rewrite([393579(7)])]. 394254 ((x \ a(y,z,u)) \ L(x \ 1,x,a(y,z,u))) \ (x \ a(y,z,u)) = a(y,z,u) * (x \ a(y,z,u)). [back_rewrite(294622),rewrite([393579(6)])]. 394264 x \ (y * L(y \ x,z,a(u,w,v5))) = a(x \ y,z,a(u,w,v5)). [back_rewrite(272669),rewrite([393579(3)])]. 394271 (x \ a(y,z,u)) \ L(x \ 1,x,a(y,z,u)) = (x \ a(y,z,u)) \ (a(y,z,u) \ (x \ a(y,z,u))). [back_rewrite(270633),rewrite([393579(6)])]. 394373 ((x * y) * z) / ((y * z) * a(x,y,z)) = L(x,y * z,a(x,y,z)). [back_rewrite(20361),rewrite([393579(9)])]. 394386 a(x,y,a(z,u,w)) * x = L(x,y,a(z,u,w)). [back_rewrite(16568),rewrite([393579(5)])]. 394414 T(x,T(((y \ z) \ a(u,w,v5)) * v6,y * z)) = T(x,v6 / (y \ z)). [back_rewrite(295725),rewrite([394146(12)])]. 394423 L(a(x,y,z),u,a(w,v5,v6)) = a(x,y,z). [hyper(295,a,265975,a(flip),b,394205,a),rewrite([394186(3),63(6),272623(7),266154(7)]),flip(a)]. 394463 L(x,(a(y,z,u) * w) \ v5,v6) = L(x,w \ (a(y,z,u) \ v5),v6). [para(11892(a,1),394205(a,1,2))]. 394475 L(x,(a(y,z,u) \ w) \ v5,v6) = L(x,w \ (a(y,z,u) * v5),v6). [para(60487(a,1),394205(a,1,2)),flip(a)]. 394477 L(x,a(y,z,u) \ w,v5) = L(x,a(y,z,u) * w,v5). [para(60809(a,1),394205(a,1,2)),rewrite([68875(8)]),flip(a)]. 394505 L(x,(y * a(z,u,w)) \ v5,v6) = L(x,y \ (a(z,u,w) \ v5),v6). [back_rewrite(28037),rewrite([394463(4)]),flip(a)]. 394511 L(a(x,y,z),a(x,y,z) * (u \ w),u) \ w = (a(x,y,z) \ (w / u)) * u. [back_rewrite(384956),rewrite([394477(5)])]. 394531 L(a(x,y,z),a(x,y,z) * u,a(x,y,z) * u) = (1 / (a(x,y,z) \ u)) * u. [back_rewrite(190595),rewrite([394477(6)])]. 394548 L(a(x,y,z),a(x,y,z) * u,w) = (w * (a(x,y,z) \ u)) \ (w * u). [back_rewrite(7581),rewrite([394477(4)])]. 394553 a(a(x,y,z),u,a(w,v5,v6)) = 1. [hyper(285,a,394423,a)]. 394565 (a(x,y,z) * u) * a(w,v5,v6) = a(x,y,z) * (u * a(w,v5,v6)). [para(394423(a,1),380(a,1,2))]. 394567 (x * a(y,z,u)) * L(a(w,v5,v6),v7,v8) = a(y,z,u) * (x * L(a(w,v5,v6),v7,v8)). [para(394423(a,1),24422(a,1,2,1)),rewrite([561(8)])]. 394568 (x * a(y,z,u)) * a(w,v5,v6) = a(y,z,u) * (x * a(w,v5,v6)). [para(394423(a,1),24258(a,1,2)),rewrite([561(7)])]. 394579 a(x,y,z) \ (a(u,w,v5) * v6) = (a(x,y,z) \ v6) * a(u,w,v5). [para(394423(a,1),135397(a,1,2,1)),rewrite([547(8)])]. 394583 a(x,y,z) * a(u,w,a(x,y,z)) = L(a(x,y,z) \ 1,w,u) \ 1. [para(394423(a,1),310694(a,1,2)),rewrite([388661(4),389275(4),394423(12),388661(11)]),flip(a)]. 394659 K(x,x \ 1) * a(y,z,u) = x * (a(y,z,u) / x). [hyper(7088,a,394565,a,b,7776,a(flip)),rewrite([561(5),382571(8),7725(11),385689(11),382469(9),385096(10),382571(6)]),flip(a)]. 394690 T(a(x,y,z) * a(u,w,v5),v6) = a(x,y,z) * a(u,w,v5). [hyper(5083,a,394565,a,b,38448,a),rewrite([385118(3),37810(6),385017(8),7725(7),5754(9),1039(2),43658(9),9542(7),562(3),547(3)])]. 394691 a(x,y,z) \ (u * a(w,v5,v6)) = (a(x,y,z) \ u) * a(w,v5,v6). [hyper(5083,a,394565,a,b,13288,a),rewrite([385657(4),547(2),6706(4),51(5)])]. 394703 a(x,y,z) * (a(u,w,v5) * (a(x,y,z) \ v6)) = a(u,w,v5) * v6. [hyper(295,a,112669,a,b,394565,a),rewrite([6743(7),19228(6),6706(9),6592(11)])]. 394727 T((x / y) * a(z,u,w),y) = a(z,u,w) * (y \ x). [hyper(5142,a,394565,a(flip),b,105236,a(flip)),rewrite([385017(6),385056(7),394568(6),231319(11),6706(9),388598(9),52958(7),7726(6),205744(6),547(4)])]. 394733 T(a(x,y,z) * (a(u,w,v5) \ (a(x,y,z) \ v6)),v7) = a(u,w,v5) \ T(v6,v7). [hyper(5083,a,5000,a(flip),b,394565,a(flip)),rewrite([385056(9),6592(8),385056(6),6592(5),6706(6),385017(10),101346(9)]),flip(a)]. 394737 a(x,y,z) \ T(u,w) = T(a(x,y,z) \ u,w). [hyper(5083,a,394565,a(flip),b,5000,a(flip)),rewrite([6706(5),385017(9),101346(8),394733(9),51(6),385056(10),6592(9)])]. 395102 L(a(a(x,y,z),u,w) * w,u,a(x,y,z)) = w. [hyper(6683,a,394194,a),rewrite([6706(5),386756(5),81685(5)])]. 395103 a(L(x,y,z),u,a(w,v5,v6)) = a(x,u,a(w,v5,v6)). [hyper(295,a,173671,a,b,394194,a),rewrite([305548(8),25954(8),68073(7),394194(7),46610(4),5528(3),70580(7)]),flip(a)]. 395104 a(x \ y,z,a(u,w,v5)) = a(y * x,z,a(u,w,v5)). [hyper(295,a,11892,a,b,394194,a),rewrite([69930(4),394264(5),5528(4)])]. 395105 a(R(x,y,z),u,a(w,v5,v6)) = a(x,u,a(w,v5,v6)). [hyper(295,a,304458,a(flip),b,394194,a),rewrite([394194(3),5528(3)]),flip(a)]. 395149 a(x * (y \ x),z,a(u,w,v5)) = a(y,z,a(u,w,v5)). [hyper(5081,a,304556,a,b,394194,a(flip)),rewrite([394264(7),395104(4)])]. 395160 (x * (y * z)) \ (x * (y * L(z,u,a(w,v5,v6)))) = a(z,u,a(w,v5,v6)). [para(394194(a,1),25021(a,1,1)),rewrite([395103(3),5528(5),24271(9)]),flip(a)]. 395165 x \ (L(y,z,a(u,w,v5)) * (y \ x)) = a(y,z,a(u,w,v5)). [para(394194(a,1),21093(a,1,2,2)),rewrite([561(7),304768(5),394194(8),5528(8)])]. 395178 x * (L(x,y,a(z,u,w)) \ v5) = v5 * a(a(z,u,w),y,x). [para(394194(a,1),60487(a,1,1,1)),rewrite([386756(3),394194(6),5531(6),162681(7)]),flip(a)]. 395180 L(x,y,a(z,u,w)) * R(v5 * a(a(z,u,w),y,x),v6,v7) = x * R(v5,v6,v7). [para(394194(a,1),61406(a,1,2,1)),rewrite([394194(5),386756(5),70732(7),7735(6),385620(5),49(2),162681(8),395178(8)]),flip(a)]. 395182 x * R(x \ a(x,y,a(z,u,w)),v5,v6) = x \ L(R(x,v5,v6),y,a(z,u,w)). [para(394194(a,1),62943(a,1,2,2)),rewrite([395105(4),273476(5)])]. 395194 L(x,y,z * L(z,u,a(w,v5,v6))) = x. [para(394194(a,1),83146(a,1,3)),rewrite([5534(3)]),flip(a)]. 395197 (x / y) * L(y,z,a(u,w,v5)) = a(y,z,a(u,w,v5)) * x. [para(394194(a,1),95099(a,1,1,2)),rewrite([385866(3),5531(3),158527(4),394194(7)])]. 395219 a(x,a(y,z,u) \ w,a(y,z,u)) = a(x,a(y,z,u) * w,a(y,z,u)). [para(381(a,2),394194(a,1,2)),rewrite([381(6),394477(4),394194(5)]),flip(a)]. 395220 L(x,y,a(z,u,w)) \ x = a(a(z,u,w),y,x). [para(394194(a,1),170410(a,1,1)),rewrite([379966(9),395178(9),165823(8),395178(8),388747(8),339647(11),165220(9),350618(9),395194(9)]),flip(a)]. 395235 a(x,y,a(L(z,u,w),v5,v5)) = a(x,y,a(z,v5,v5)). [para(272898(a,2),394194(a,1,2,3)),rewrite([272898(2),339422(3),394194(3)]),flip(a)]. 395248 L(x \ L(x,y,z),u,a(w,v5,v6)) = x \ L(x,y,z). [para(394194(a,1),304426(a,2,2,2)),rewrite([13654(3),93398(8),339647(5),60426(3),70237(4),17022(8),394386(7),305327(8)]),flip(a)]. 395249 a(x * L(x,y,z),u,a(w,v5,v6)) = 1. [para(305594(a,2),394194(a,1,2)),rewrite([305594(8),395248(6),323(5),395104(5),13654(3)]),flip(a)]. 395250 a(a(x,y,z),u,L(w,v5,v6)) = a(a(x,y,z),u,w). [para(394194(a,1),306590(a,2,1,1)),rewrite([395220(5),5528(6),386756(7),48(7)])]. 395254 a(x,y,a(z,u,w)) * (a(a(z,u,w),y,x) * v5) = v5. [para(394194(a,1),306137(a,1,1)),rewrite([395220(5),395194(13)])]. 395255 a(x,y,a(z,u,w)) * (x \ v5) = v5 * L(v5 \ (x \ v5),y,a(z,u,w)). [para(394194(a,1),307607(a,1,1))]. 395270 x \ (y * L(y \ x,z,a(u,w,v5))) = a(y * x,z,a(u,w,v5)). [back_rewrite(394264),rewrite([395104(8)])]. 395280 (x * y) \ (a(z,u,w) * (x * (a(z,u,w) \ y))) = a(x,a(z,u,w) * y,a(z,u,w)). [back_rewrite(19390),rewrite([395219(11)])]. 395304 a(x,y,a(z,u,w)) * (v5 * x) = v5 * L(x,y,a(z,u,w)). [hyper(5083,a,395160,a(flip),b,61780,a),rewrite([13028(6),50(11)])]. 395336 (x * (a(y,z,u) * w)) \ (x * (L(w,v5,a(v6,v7,v8)) * a(y,z,u))) = a(w,v5,a(v6,v7,v8)). [para(1143(a,1),395160(a,1,2,2))]. 395380 a((x * y) * z,u,a(w,v5,v6)) = a(y * (x \ z),u,a(w,v5,v6)). [para(61406(a,1),395160(a,1,1)),rewrite([61407(12),304426(11),395165(11),395105(5),395104(4),395105(9),395104(8)])]. 395444 a(x * (y \ L(x,z,u)),w,a(v5,v6,v7)) = a(x * (y * L(x,z,u)),w,a(v5,v6,v7)). [para(395160(a,2),218721(a,1)),rewrite([395160(13),395380(5)])]. 395874 L(L(x,y,z) \ x,u,a(w,v5,v6)) = L(x,y,z) \ x. [para(394196(a,1),156001(a,1,1)),rewrite([304759(4),395104(6),395249(6),305132(4)]),flip(a)]. 395884 L(x \ R(x,y,z),u,a(w,v5,v6)) = x \ R(x,y,z). [para(394196(a,1),272488(a,1,1)),rewrite([394196(7),272488(6),324(3),48(3),386756(11),81685(11),395102(11),70732(8),394232(7),63(7),272623(8)]),flip(a)]. 395925 R(x * a(y,z,u),w,x * a(y,z,u)) = w \ T((x * a(y,z,u)) * w,x). [hyper(5083,a,385118,a(flip),b,24832,a),flip(a)]. 395997 T(x,T(y \ (z * a(u,w,v5)),v6)) = T(x,T(y \ z,v6)). [hyper(5083,a,387326,a(flip),b,5698,a),rewrite([5754(6),253(6)]),flip(a)]. 396021 (x * a(y,z,u)) / T(w,w \ x) = w \ (x * a(y,z,u)). [para(387326(a,1),2244(a,1,2))]. 396059 T(x,L(y \ a(z,u,w),y,v5) \ v5) = T(x,y * v5). [para(11770(a,1),387326(a,1,2)),rewrite([385459(4),36711(5),49(3),262(3)]),flip(a)]. 396082 T(x,y / (z \ (u * a(w,v5,v6)))) = T(x,y / (z \ u)). [para(387326(a,1),3346(a,1,2)),rewrite([36711(7),61871(7),12438(7),391727(7),36300(5),121309(4)]),flip(a)]. 396093 T(x,(y \ a(z,u,w)) * v5) = T(x,y \ v5). [para(135397(a,1),387326(a,1,2)),rewrite([561(4),381611(9)])]. 396112 T(x,y \ (z \ a(u,w,v5))) = T(x,y \ (z \ 1)). [para(268782(a,1),387326(a,1,2,2)),rewrite([393579(8),381611(10)])]. 396118 T(x,y * (z \ (y \ a(u,w,v5)))) = T(x,T(z \ 1,y)). [para(319806(a,2),387326(a,2,2)),rewrite([43754(5),180718(5),390290(6),12024(10),389410(10),200338(10)])]. 396127 T(x,T(y \ (a(z,u,w) * v5),v6)) = T(x,T(y \ v5,v6)). [back_rewrite(198257),rewrite([395997(10)])]. 396158 a(x * (y \ z),u,a(w,v5,v6)) = a(z * (y * x),u,a(w,v5,v6)). [hyper(295,a,12550,a,b,395380,a),flip(a)]. 396183 a((x \ y) * z,u,a(w,v5,v6)) = a(y * (x * z),u,a(w,v5,v6)). [para(6(a,1),395380(a,2,1)),rewrite([315(4),12650(6),12650(10)]),flip(a)]. 396215 a(x * (L(x,y,z) \ u),w,a(v5,v6,v7)) = a(x * (L(x,y,z) * u),w,a(v5,v6,v7)). [para(63806(a,1),395380(a,1,1,1)),rewrite([396183(5),158808(3),396183(12),48(10)]),flip(a)]. 396216 a(L(x,y,z) * (x \ u),w,a(v5,v6,v7)) = a(x * (L(x,y,z) * u),w,a(v5,v6,v7)). [para(70237(a,1),395380(a,1,1,1)),rewrite([396183(5),158808(3),13826(12),68916(12)]),flip(a)]. 396221 a(x * (L(x,y,z) * u),w,a(v5,v6,v7)) = a(u * (x * L(x,y,z)),w,a(v5,v6,v7)). [para(70215(a,2),395380(a,1,1,1)),rewrite([70215(4),70227(5),12546(7),396183(5),158808(3),110535(12),396183(10)])]. 396225 a(L(x,y,z) * (u * w),v5,a(v6,v7,v8)) = a(w * (u \ L(x,y,z)),v5,a(v6,v7,v8)). [para(96747(a,1),395380(a,1,1,1)),rewrite([396183(6),12518(6),12077(12),395104(10)])]. 396243 a(x * (((y \ 1) * z) \ u),w,a(v5,v6,v7)) = a(z * (y \ (x \ u)),w,a(v5,v6,v7)). [para(174405(a,1),395380(a,1,1,1)),rewrite([395380(7),395380(7),68916(7),12467(14)]),flip(a)]. 396339 a(x * (y \ (z \ ((z * y) * u))),w,a(v5,v6,v7)) = a(L(x,y,z) * u,w,a(v5,v6,v7)). [para(56(a,1),396183(a,1,1,1)),rewrite([395380(11),395380(11)]),flip(a)]. 396351 a(x * (y * L(z,z,x)),u,a(w,v5,v6)) = a(z * (x \ y),u,a(w,v5,v6)). [para(59166(a,1),396183(a,1,1,1)),rewrite([12467(7),395380(4),131115(11)]),flip(a)]. 396441 a(x * R(x,y,z),u,a(w,v5,v6)) = 1. [para(256868(a,1),395103(a,1,1)),rewrite([394553(3),395104(5),11009(3)]),flip(a)]. 396535 x / (a(y,z,a(u,w,v5)) * v6) = a(a(u,w,v5),z,y) * (x / v6). [para(388135(a,1),204224(a,1,2)),rewrite([6706(3),388135(3),393579(10),5536(10),233915(8)])]. 396536 R(x,y * a(z,u,a(w,v5,v6)),v7) = R(x,y,v7). [para(388135(a,1),204535(a,1,2)),rewrite([385056(4),204513(5),388135(7),101839(8)])]. 396574 R(x,y \ a(a(z,u,w),v5,v6),v7) = R(x,y,v7). [back_rewrite(387715),rewrite([396536(8)])]. 396597 a(x,a(y,z,u),R(w,v5,v6)) = a(x,a(y,z,u),L(w,v5,v6)). [hyper(5081,a,14987,a,b,386956,a),rewrite([14987(4),209136(6),386956(7)])]. 396598 a(L(x,y,z),a(u,w,v5),v6) = a(x,a(u,w,v5),v6). [hyper(295,a,173671,a,b,386956,a),rewrite([305548(8),25954(8),68073(7),386956(7),46610(4),5529(3),70580(7)]),flip(a)]. 396599 a(R(x,y,z),a(u,w,v5),v6) = a(x,a(u,w,v5),v6). [hyper(295,a,304458,a(flip),b,386956,a),rewrite([386956(3),5529(3)]),flip(a)]. 396600 x \ (y * L(y \ x,a(z,u,w),v5)) = a(x \ y,a(z,u,w),v5). [hyper(295,a,304101,a(flip),b,386956,a)]. 396643 a(x \ y,a(z,u,w),v5) = a(y * x,a(z,u,w),v5). [hyper(5081,a,11892,a,b,386956,a(flip)),rewrite([69930(4),396600(5),5529(4)])]. 396646 a(x,a(y,z,u),w) * x = L(x,a(y,z,u),w). [para(386956(a,1),165(a,2,2,1)),rewrite([188068(3),386956(3),547(3),547(6),386985(6)])]. 396680 x * (L(x,a(y,z,u),w) \ v5) = v5 * a(w,a(y,z,u),x). [para(386956(a,1),60487(a,1,1,1)),rewrite([386929(3),386956(6),5532(6),162681(7)]),flip(a)]. 396682 R(x,y,z) * (x \ a(x,a(u,w,v5),v6)) = x \ L(R(x,y,z),a(u,w,v5),v6). [para(386956(a,1),62943(a,1,2,2)),rewrite([396599(4)])]. 396686 L(x,y * L(y,a(z,u,w),v5),v6) = x. [para(386956(a,1),68875(a,1,2)),rewrite([396643(4),48(2),5532(3),82989(6)]),flip(a)]. 396724 L(x,a(y,z,u),w) \ x = a(w,a(y,z,u),x). [para(386956(a,1),170410(a,1,1)),rewrite([379966(9),396680(9),163043(8),396680(8),391147(8),165220(11),396686(11)]),flip(a)]. 396738 a(x * R(x,y,z),a(u,w,v5),v6) * (x \ R(x,y,z)) = L(x \ R(x,y,z),a(u,w,v5),v6). [para(386956(a,1),257670(a,1,1)),rewrite([396643(4),11009(2)])]. 396752 L(x \ L(x,y,z),a(u,w,v5),v6) = x \ L(x,y,z). [para(386956(a,1),304426(a,2,2,2)),rewrite([13654(3),93398(8),304908(5),195716(8),396646(7),305327(8)]),flip(a)]. 396753 a(x * L(x,y,z),a(u,w,v5),v6) = 1. [para(305594(a,2),386956(a,1,2)),rewrite([305594(8),396752(6),323(5),396643(5),13654(3)]),flip(a)]. 396754 a(x,a(y,z,u),L(w,v5,v6)) = a(x,a(y,z,u),w). [para(386956(a,1),306590(a,2,1,1)),rewrite([396724(5),5529(6),386929(7),48(7)])]. 396832 (x \ L(x,y,y)) * z = a(y,y,x) \ z. [back_rewrite(382761),rewrite([396752(4)])]. 396839 a(x,a(y,z,u),R(w,v5,v6)) = a(x,a(y,z,u),w). [back_rewrite(396597),rewrite([396754(6)])]. 396877 x * (a(y,y,z) \ 1) = a(y,y,z) \ x. [back_rewrite(308456),rewrite([396832(3)]),flip(a)]. 396958 x * (y \ L(y,z,z)) = a(z,z,y) \ x. [back_rewrite(308239),rewrite([396877(4)]),flip(a)]. 396997 a((x * (y * z)) * ((x * y) * z),a(u,w,v5),v6) = a(a(x,y,z),a(u,w,v5),v6). [para(54(a,1),396643(a,1,1)),rewrite([274161(8)]),flip(a)]. 397010 a((x * (y * z)) * ((x * y) * u),a(w,v5,v6),v7) = a(L(z,y,x) * u,a(w,v5,v6),v7). [para(11971(a,2),396643(a,1,1)),rewrite([396598(6),396643(4)]),flip(a)]. 397052 a(((x * (y * z)) * z) * ((x * y) * z),a(u,w,v5),v6) = a(z,a(u,w,v5),v6). [para(388615(a,1),396643(a,1,1)),rewrite([396598(3)]),flip(a)]. 397055 a(a(x,y,z),a(u,w,v5),v6) = 1. [back_rewrite(396997),rewrite([397010(7),13654(2),396753(4)]),flip(a)]. 397070 x \ (a(y,z,u) \ x) = a(y,z,u) \ 1. [back_rewrite(346276),rewrite([397055(4)]),flip(a)]. 397086 L(a(x,y,z) \ 1,a(x,y,z),u) = a(x,y,z) \ 1. [back_rewrite(297184),rewrite([397070(3),397070(6),206751(7),385866(5),397070(8),6743(10),292756(8),397070(8)])]. 397087 (a(x,y,z) \ 1) \ u = u * a(x,y,z). [back_rewrite(297147),rewrite([397070(3),397070(6),28083(7),397086(5),397070(7),6743(9)])]. 397101 (x \ a(y,z,u)) \ L(x \ 1,x,a(y,z,u)) = a(y,z,u) \ 1. [back_rewrite(394271),rewrite([397070(14)])]. 397118 L(x,a(y,z,u),a(y,z,u)) = x. [back_rewrite(387022),rewrite([397070(3),397087(4),397086(7),89886(6),393579(3)])]. 397122 (a(x,y,z) \ 1) * u = a(x,y,z) \ u. [back_rewrite(386949),rewrite([397070(6),26414(7),397118(5)]),flip(a)]. 397126 x / (a(y,z,u) \ K(w,v5)) = a(y,z,u) * (x * K(v5,w)). [back_rewrite(386772),rewrite([397070(3),31850(5),295500(5)])]. 397127 T(x \ (a(y,z,u) \ 1),x) \ 1 = 1 / (x \ (a(y,z,u) \ 1)). [back_rewrite(386771),rewrite([397070(3),397070(11)])]. 397144 a(a(x,y,z),u,w) * (a(x,y,z) \ v5) = v5 * L(a(x,y,z) \ 1,u,w). [back_rewrite(384977),rewrite([397070(8)])]. 397148 x * (a(y,z,u) \ 1) = a(y,z,u) \ x. [back_rewrite(384368),rewrite([397086(5),397122(4),397070(5)]),flip(a)]. 397151 L(a(x,y,z) \ 1,u,w) * (v5 * a(x,y,z)) = a(a(x,y,z),u,w) * v5. [back_rewrite(384113),rewrite([397070(3)])]. 397154 (a(x,y,z) \ u) * L(a(x,y,z),w,v5) = u * a(a(x,y,z),w,v5). [back_rewrite(384094),rewrite([397070(3),311867(7),6706(6),397148(7),160535(5)])]. 397155 K(x,y * (z \ a(u,w,v5))) = K(x,y / z). [back_rewrite(382572),rewrite([397070(3),397122(4),382309(4)])]. 397156 T(x,y) \ (a(z,u,w) \ x) = a(z,u,w) \ K(y,x). [back_rewrite(382500),rewrite([397070(3),397087(4),383884(4),397070(8),397148(9)])]. 397165 x * (L(x,y,z) \ (a(u,w,v5) \ 1)) = L(x,y,z) \ (a(u,w,v5) \ x). [back_rewrite(354413),rewrite([397070(4),397122(5),397070(8)]),flip(a)]. 397171 a(x,y,z) * (L(a(x,y,z) \ 1,u,w) * v5) = a(a(x,y,z),u,w) * v5. [back_rewrite(339328),rewrite([397070(3),336273(7),6706(4),383795(6)])]. 397178 (a(x,y,z) * (u \ 1)) \ u = a(x,y,z) \ (u * u). [back_rewrite(329460),rewrite([397070(3),62166(5)]),flip(a)]. 397180 (a(x,y,z) \ K(u,w)) * v5 = K(u,w) * (a(x,y,z) \ v5). [back_rewrite(327721),rewrite([397070(3),31945(6)])]. 397211 x \ (K(y,z) * (a(u,w,v5) \ x)) = T(a(u,w,v5) \ K(y,z),x). [back_rewrite(297130),rewrite([397070(3),397087(4),295490(5),397070(10),397148(11),295019(9)])]. 397222 (a(x,y,z) \ (u * u)) * w = (u * u) * (a(x,y,z) \ w). [back_rewrite(296874),rewrite([397070(3),57375(6),397070(8),397122(9)])]. 397223 K(x,y) * (a(z,u,w) \ (y \ v5)) = a(z,u,w) \ (T(y,x) \ v5). [back_rewrite(296872),rewrite([397070(4),397122(6),397070(10),397148(11)])]. 397246 L(a(x,y,z) * u,a(x,y,z),u) = (a(x,y,z) \ u) \ (u * u). [back_rewrite(294550),rewrite([397070(5),28083(6)])]. 397253 (a(x,y,z) * a(x,y,z)) * u = a(x,y,z) * (u * a(x,y,z)). [back_rewrite(294496),rewrite([397070(3),67715(6)])]. 397257 (x * a(y,z,u)) \ x = a(y,z,u) \ 1. [back_rewrite(294376),rewrite([397070(6)])]. 397258 x / (a(y,z,u) * x) = a(y,z,u) \ 1. [back_rewrite(294375),rewrite([397070(6)])]. 397259 L(a(x,y,z) * u,a(x,y,z),u) \ 1 = a(x,y,z) \ (u \ 1). [back_rewrite(294221),rewrite([397070(5),206751(6),385866(4)])]. 397262 (a(x,y,z) * u) \ u = a(x,y,z) \ 1. [back_rewrite(294095),rewrite([397070(6)])]. 397264 (a(x,y,z) \ K(u,w)) \ v5 = K(w,u) * (v5 * a(x,y,z)). [back_rewrite(293708),rewrite([397070(4),397087(5),397156(8)]),flip(a)]. 397267 (x * (a(y,z,u) \ K(w,v5))) * v6 = (a(y,z,u) \ x) * (K(w,v5) * v6). [back_rewrite(293691),rewrite([397070(3),397148(4),397156(9)]),flip(a)]. 397269 (x * (a(y,z,u) \ K(w,v5))) \ v6 = K(v5,w) * ((a(y,z,u) \ x) \ v6). [back_rewrite(293679),rewrite([397070(4),397148(5),397156(9)]),flip(a)]. 397287 (a(x,y,z) \ u) * (u \ 1) = L(a(x,y,z) \ 1,u,u). [back_rewrite(292769),rewrite([397070(3),295469(4)]),flip(a)]. 397290 (x * (a(y,z,u) \ w)) / (x * w) = L(a(y,z,u) \ 1,w,x). [back_rewrite(292691),rewrite([397070(3),397148(4),397070(8)])]. 397307 (L(a(x,y,z),u,w) \ 1) * v5 = L(a(x,y,z),u,w) \ v5. [back_rewrite(339404),rewrite([397118(5)]),flip(a)]. 397308 (L(a(x,y,z),u,w) \ 1) \ v5 = L(a(x,y,z),u,w) * v5. [back_rewrite(339402),rewrite([397118(7)])]. 397310 ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. [back_rewrite(301517),rewrite([397118(8),387159(6)])]. 397382 L(x,y,L(a(z,u,w),v5,v6) * v7) = L(x,y,a(z,u,w) * v7). [back_rewrite(344730),rewrite([397087(4),50(3),384778(4)]),flip(a)]. 397393 L(a(x,y,z),u,w) * (a(x,y,z) \ v5) = v5 * a(a(x,y,z),u,w). [back_rewrite(296840),rewrite([397087(9),311867(7),6706(6),397148(7),160535(5),397154(5)]),flip(a)]. 397407 L((x * a(y,z,u)) / w,w,a(y,z,u)) = (w * ((a(y,z,u) \ w) \ x)) / w. [back_rewrite(295268),rewrite([397087(4),397148(9)])]. 397417 x / (a(y,z,u) \ 1) = x * a(y,z,u). [back_rewrite(292814),rewrite([397087(8)])]. 397429 ((x * y) * z) * a(x,y,z) = a(x,y,z) * ((x * y) * z). [back_rewrite(68103),rewrite([397253(6),351(5),397087(10)]),flip(a)]. 397443 (x \ a(y,z,u)) * a(y,z,u) = a(y,z,u) * (x \ a(y,z,u)). [back_rewrite(394254),rewrite([397101(7),397087(6)])]. 397476 a(x,y,z) \ L(u \ 1,u,a(x,y,z)) = u \ (a(x,y,z) \ 1). [back_rewrite(394245),rewrite([397122(8)])]. 397483 (a(x,y,z) \ u) * T(w,u) = w * (a(x,y,z) \ u). [back_rewrite(394089),rewrite([397148(4),397122(8)])]. 397513 L(x,y,a(z,u,w)) * (a(z,u,w) \ y) = a(z,u,w) \ (x * y). [back_rewrite(386674),rewrite([397122(6),397148(10)])]. 397528 a(x,y,z) \ ((a(x,y,z) * u) * w) = a(x,y,z) * ((a(x,y,z) \ u) * w). [back_rewrite(336550),rewrite([397148(7),397122(10)])]. 397544 (a(x,y,z) \ a(a(x,y,z),u,w)) * (u * w) = (a(x,y,z) \ u) * w. [back_rewrite(301648),rewrite([397122(10)])]. 397551 a(x,y,z) \ (u * (w * a(x,y,z))) = a(x,y,z) * (u * (a(x,y,z) \ w)). [back_rewrite(296849),rewrite([397122(7),397148(10)])]. 397552 L(x \ a(y,z,u),x,a(y,z,u)) = (a(y,z,u) \ x) \ 1. [back_rewrite(296826),rewrite([397122(8)])]. 397553 (x * (a(y,z,u) \ w)) \ (a(y,z,u) \ (x * w)) = a(x,w,a(y,z,u)). [back_rewrite(296825),rewrite([397122(4),397122(8)])]. 397561 a(x,y,(a(z,u,w) \ v5) \ v6) = a(x,y,(v5 * a(z,u,w)) \ v6). [back_rewrite(295461),rewrite([397122(4)])]. 397572 (a(x,y,z) \ u) \ (a(x,y,z) \ w) = (a(x,y,z) * u) \ (a(x,y,z) * w). [back_rewrite(295380),rewrite([397122(4),397148(6)])]. 397573 (a(x,y,z) \ u) * (a(x,y,z) * w) = (u * a(x,y,z)) * (a(x,y,z) \ w). [back_rewrite(295370),rewrite([397122(4),397122(11)])]. 397580 x * L(x \ (a(y,z,u) \ 1),w,v5) = x \ L(a(y,z,u) \ x,w,v5). [back_rewrite(295352),rewrite([397122(4)]),flip(a)]. 397582 x \ (y * (a(z,u,w) \ K(v5,v6))) = (x \ (a(z,u,w) \ y)) * K(v5,v6). [back_rewrite(295348),rewrite([397122(4)]),flip(a)]. 397587 (x * y) \ (y * (a(z,u,w) \ x)) = L(a(z,u,w) \ K(y,x),x,y). [back_rewrite(295328),rewrite([397122(5)])]. 397588 (a(x,y,z) \ u) \ (u * (a(x,y,z) \ w)) = L(w,a(x,y,z),u). [back_rewrite(295327),rewrite([397122(4),397148(6)])]. 397591 (x \ 1) * (a(y,z,u) \ ((x \ 1) \ w)) = x * (a(y,z,u) \ (x \ w)). [back_rewrite(295318),rewrite([397122(9),397148(13)])]. 397596 (x \ 1) \ (a(y,z,u) \ x) = a(y,z,u) \ (x * x). [back_rewrite(295258),rewrite([397122(6)])]. 397635 a(x,y,z) \ ((a(x,y,z) \ u) \ w) = a(x,y,z) * ((u * a(x,y,z)) \ w). [back_rewrite(295034),rewrite([397122(7),397122(7)])]. 397639 (x * x) * (a(y,z,u) \ (1 / w)) = a(y,z,u) \ ((x * x) / w). [back_rewrite(295017),rewrite([397222(6),397122(12)])]. 397641 (a(x,y,z) \ u) * (w * w) = u * (a(x,y,z) \ (w * w)). [back_rewrite(295014),rewrite([397122(6),70971(4)])]. 397682 (a(x,y,z) \ u) * K(w,v5) = u * (a(x,y,z) \ K(w,v5)). [back_rewrite(292979),rewrite([397122(6),41109(4)])]. 397688 (a(x,y,z) * u) \ L(a(x,y,z) * u,w,v5) = a(x,y,z) \ (u * L(u \ a(x,y,z),w,v5)). [back_rewrite(144353),rewrite([397122(8)]),flip(a)]. 397693 (a(x,y,z) * a(x,y,z)) \ u = a(x,y,z) \ (a(x,y,z) \ u). [back_rewrite(62184),rewrite([397122(6)]),flip(a)]. 397735 ((a(x,y,z) \ u) * w) \ (u * (a(x,y,z) \ w)) = a(w,a(x,y,z),u). [back_rewrite(388213),rewrite([397148(4),397148(7)])]. 397750 a(x,y,z) * (u * L(a(x,y,z) \ 1,w,v5)) = u * a(a(x,y,z),w,v5). [back_rewrite(311928),rewrite([397148(7),160535(5),397154(5)]),flip(a)]. 397751 a(x,y,z) * (u * (a(x,y,z) \ (a(x,y,z) \ w))) = a(x,y,z) \ (u * w). [back_rewrite(302488),rewrite([397693(5),397148(12)])]. 397794 a(x,y,z) \ (L(a(x,y,z) \ 1,u,w) \ v5) = a(x,y,z) * (L(a(x,y,z),u,w) \ v5). [back_rewrite(295027),rewrite([397148(9)])]. 397805 (a(x,y,z) * u) * (a(x,y,z) \ (a(x,y,z) \ w)) = (a(x,y,z) \ u) * w. [back_rewrite(73613),rewrite([397693(6),397148(11)])]. 397817 T(a(x,y,z) * u,w) \ u = a(x,y,z) \ K(w,u). [back_rewrite(382575),rewrite([397156(8)])]. 397839 (x * a(y,z,u)) \ (K(w,v5) * x) = T(a(y,z,u) \ K(w,v5),x). [back_rewrite(295490),rewrite([397211(10)])]. 397870 (x * (a(y,z,u) * (w * a(y,z,u)))) \ v5 = a(y,z,u) \ (a(y,z,u) \ ((x * w) \ v5)). [back_rewrite(385762),rewrite([397253(4),397693(12)])]. 397876 a(x,y,z) * ((u \ 1) * a(x,y,z)) = u \ (a(x,y,z) * a(x,y,z)). [back_rewrite(385553),rewrite([397253(6)])]. 397880 x \ (a(y,z,u) * (w * a(y,z,u))) = a(y,z,u) * ((x \ w) * a(y,z,u)). [back_rewrite(295424),rewrite([397253(4),397253(10)])]. 397882 (x * (a(y,z,u) \ (a(y,z,u) \ w))) \ v5 = a(y,z,u) * (((x * w) \ v5) * a(y,z,u)). [back_rewrite(295170),rewrite([397693(4),397253(12)])]. 397922 x * (L(a(y,z,u),w,v5) \ 1) = L(a(y,z,u),w,v5) \ x. [back_rewrite(339405),rewrite([397307(5)]),flip(a)]. 397937 (x * y) \ (L(z,x,y) * (z \ (x * y))) = a(y,x,z) \ 1. [back_rewrite(304850),rewrite([397310(11)])]. 397948 (x * y) \ ((x / z) * (z * y)) = a(z \ x,z,y) \ 1. [back_rewrite(293917),rewrite([397310(7)]),flip(a)]. 398010 (x * (y * z)) / ((x * y) * z) = a(x,y,z) \ 1. [back_rewrite(292709),rewrite([397310(10)])]. 398058 (x * (y * (a(z,u,w) \ v5))) * a(z,u,w) = a(z,u,w) * (x * (y * (a(z,u,w) \ v5))). [back_rewrite(168538),rewrite([397483(4),397483(11)])]. 398069 a(x,a(y,z,u) * w,a(y,z,u)) = a(a(y,z,u),w,x). [back_rewrite(386696),rewrite([397551(6),395280(7)])]. 398094 a(x,y,z) \ (u * L(u \ a(x,y,z),w,v5)) = (u \ L(a(x,y,z) \ u,w,v5)) * a(x,y,z). [back_rewrite(144206),rewrite([397580(6),397688(12)]),flip(a)]. 398201 x / (y * (a(z,u,w) * a(z,u,w))) = a(z,u,w) \ (a(z,u,w) \ (x / y)). [back_rewrite(295356),rewrite([397693(10)])]. 398206 (a(x,y,z) \ (a(x,y,z) \ u)) * w = u * (a(x,y,z) \ (a(x,y,z) \ w)). [back_rewrite(295105),rewrite([397693(4),397693(9)])]. 398240 a(x,a(y,z,u) \ w,a(y,z,u)) = a(a(y,z,u),w,x). [back_rewrite(395219),rewrite([398069(8)])]. 398241 (a(x,y,z) * u) \ L(a(x,y,z) * u,w,v5) = (u \ L(a(x,y,z) \ u,w,v5)) * a(x,y,z). [back_rewrite(397688),rewrite([398094(12)])]. 398253 x * (y * ((x * y) \ 1)) = a(x,y,x * y) \ 1. [hyper(295,a,138006,a,b,397310,a),rewrite([138006(11),57550(9),133158(9),159345(8),63806(6),70455(4),13983(8)])]. 398254 L(x \ L(x,y,z),x,z * y) = a(z,y,x) \ 1. [hyper(295,a,11971,a,b,397310,a)]. 398277 T((x * y) * z,u) \ (x * (y * z)) = a(x,y,z) \ K(u,x * (y * z)). [hyper(5083,a,397310,a(flip),b,8936,a),rewrite([371251(3),5754(7),397148(7)]),flip(a)]. 398295 a(a(x,y,z),a(x,y,z) \ u,w) = a(w,u,a(x,y,z)). [para(6592(a,1),397310(a,1,2,2)),rewrite([19228(5),386704(7),398240(8),388135(8),49(8)])]. 398307 a(a(x,y,z) \ u,w,v5) = a(a(x,y,z) * u,w,v5). [para(397310(a,1),13791(a,2,1,2)),rewrite([398277(6),46666(7),397148(7)]),flip(a)]. 398337 L(x,y,z * (u * (z * u))) = L(x,y,a(z,u,z * u)). [para(397310(a,1),25316(a,1,3)),rewrite([26414(5)]),flip(a)]. 398342 (x \ L(a(y,z,u) \ x,w,v5)) * a(y,z,u) = a(y,z,u) * (x \ L(a(y,z,u) \ x,w,v5)). [para(397310(a,2),24474(a,2,2,2,1,2)),rewrite([69933(8),398241(6),397310(12),397580(13)])]. 398359 a(x,a(y,z,u) \ w,v5) = a(x,w * a(y,z,u),v5). [para(397310(a,1),47597(a,2,2,1)),rewrite([398277(6),50861(7),397122(7)]),flip(a)]. 398364 a(x,y,x * y) \ (x * y) = L(x * y,y,x). [para(397310(a,1),50481(a,2,1)),rewrite([381302(7),409(7),391150(7),397122(8)]),flip(a)]. 398387 a(x * (a(y,z,u) \ w),v5,v6) = a(x * (w * a(y,z,u)),v5,v6). [para(397310(a,2),68916(a,1,1,2,1)),rewrite([397310(5),397087(4)]),flip(a)]. 398389 a((a(x,y,z) \ u) \ w,v5,v6) = a((u * a(x,y,z)) \ w,v5,v6). [para(397310(a,2),69472(a,1,1,1,1)),rewrite([397310(5),397087(4)]),flip(a)]. 398395 a(x,y,a(z,u,z * u)) = a(x,y,a(u,u,z)). [para(397310(a,1),72569(a,1,3)),rewrite([72770(5),164822(7),13654(5),165645(6)])]. 398396 a(x,y,a(z,u,w) \ v5) = a(x,y,a(z,u,w) * v5). [para(397310(a,2),72848(a,1,3,1)),rewrite([397310(5),397122(4)])]. 398409 L(x,y,z * (a(u,w,v5) \ v6)) = L(x,y,z * (v6 * a(u,w,v5))). [para(397310(a,2),85295(a,1,3,2,1)),rewrite([397310(5),397087(4)]),flip(a)]. 398425 L(x,x \ a(y,z,u),a(y,z,u)) \ 1 = a(y,z,u) \ (x \ a(y,z,u)). [para(397310(a,2),95525(a,2,2)),rewrite([393579(4),397310(13),397148(12)])]. 398451 a(a(x,y,z),R(u,w,v5),v6) = a(a(x,y,z),L(u,w,v5),v6). [para(132440(a,1),397310(a,1,2)),rewrite([386702(9),266449(6),386756(8),48(8)])]. 398452 a(x \ (a(y,z,u) \ w),v5,v6) = a(x \ (w * a(y,z,u)),v5,v6). [para(397310(a,2),96575(a,1,1,2,1)),rewrite([397310(5),397087(4)]),flip(a)]. 398536 R(x,y,a(z,u,w) \ v5) = R(x,y,a(z,u,w) * v5). [para(397310(a,2),217015(a,1,3,1)),rewrite([397310(5),397122(4)])]. 398599 ((x \ a(x,y,z)) * u) \ (a(x,y,z) * ((x \ 1) * u)) = a(u,x,a(x,y,z)). [para(339031(a,1),397310(a,1,1,1)),rewrite([50864(13),388135(13),49(13)])]. 398601 a(x,y,z) \ a(a(x,y,z),u,w) = L(a(x,y,z) \ 1,u,w). [para(397310(a,2),307607(a,1,2)),rewrite([382653(4),397310(7),397148(6),397070(10),48(10)])]. 398602 (a(x,y,z) * L(a(x,y,z),u,w)) * (a(x,y,z) \ v5) = v5 * L(a(x,y,z),u,w). [para(397310(a,2),344040(a,2,2,1,2,1)),rewrite([397310(12),397087(11),50(10)])]. 398604 a(a(x,y,z),u,w) * (v5 * a(x,y,z)) = v5 * L(a(x,y,z),u,w). [para(397310(a,2),344393(a,1,2,1)),rewrite([382653(4),397310(7),397087(6),398602(12)])]. 398613 (L(x,y,z) * u) \ (x * (u * (x \ L(x,y,z)))) = a(x,x * L(x,y,z),u) \ 1. [para(349543(a,1),397310(a,1,2)),rewrite([377886(3),323(1),48(2),64094(10),350626(10)])]. 398641 (x * y) \ L(x * y,y,x) = a(x,y,x * y) \ 1. [back_rewrite(70455),rewrite([398253(9)])]. 398670 L(x,y,z * (u * (T(z,w) * u))) = L(x,y,a(z,u,z * u)). [back_rewrite(196427),rewrite([398337(9)])]. 398679 a(a(x,y,z),u * a(x,y,z),w) = a(w,u,a(x,y,z)). [back_rewrite(398295),rewrite([398359(4)])]. 398680 a(x,y * a(z,u,w),a(z,u,w)) = a(a(z,u,w),y,x). [back_rewrite(398240),rewrite([398359(4)])]. 398739 L(a(x,y,z) \ 1,u,w) * (u * w) = (a(x,y,z) \ u) * w. [back_rewrite(397544),rewrite([398601(4)])]. 398771 L(x,y,a(z,u,w)) \ ((x * y) * a(z,u,w)) = y * a(z,u,w). [hyper(5083,a,397087,a,b,401,a),rewrite([393579(2),397087(7)])]. 398772 L(x,x,a(y,z,u)) \ a(y,z,u) = (x \ 1) * a(y,z,u). [hyper(5081,a,206986,a,b,397087,a),rewrite([393579(2),397087(10)])]. 398776 L(x,y,a(z,u,w)) * (y * a(z,u,w)) = (x * y) * a(z,u,w). [hyper(5081,a,401,a,b,397087,a),rewrite([393579(2),397087(10)])]. 398777 L(x \ K(y,z),x,a(u,w,v5)) * a(u,w,v5) = (x \ a(u,w,v5)) * K(y,z). [hyper(5081,a,269440,a(flip),b,397087,a),rewrite([43754(4),393579(11),397087(12)]),flip(a)]. 398785 (x * a(y,z,u)) \ L(x * a(y,z,u),w,v5) = a(y,z,u) * (x \ L(a(y,z,u) \ x,w,v5)). [hyper(295,a,304101,a,b,397087,a),rewrite([397087(4),397087(6),397580(12),398342(12)])]. 398795 R(a(x,y,z) \ 1,u,w) = L(a(x,y,z) \ 1,u,w). [hyper(7088,a,358097,a,b,397087,a(flip)),rewrite([561(6),358097(15),272488(13),324(10),382507(9),48(10),382653(9),398601(8)])]. 398799 L(a(x,y,z) \ 1,a(u,w,v5),v6) = a(x,y,z) \ 1. [hyper(7088,a,386956,a(flip),b,397087,a(flip)),rewrite([561(7),396643(11),48(9),397055(9)])]. 398800 L(x,y * a(z,u,w),a(z,u,w)) * y = a(z,u,w) * (x * (a(z,u,w) \ y)). [hyper(7088,a,135397,a(flip),b,397087,a(flip)),rewrite([397087(4),26414(6),561(7),397087(10),384693(10),397551(10)])]. 398835 a(x,y,z) * (a(x,y,z) * (u * (a(x,y,z) \ w))) = u * (w * a(x,y,z)). [hyper(5081,a,135397,a(flip),b,397087,a(flip)),rewrite([397087(4),384693(4),397087(7),26414(9),398800(8),398058(10)]),flip(a)]. 398836 (a(x,y,z) * (u * a(x,y,z))) * w = a(x,y,z) * ((u * w) * a(x,y,z)). [para(397087(a,2),5(a,1,1,1)),rewrite([61612(5),397253(4),397253(10)])]. 398838 a(x,y,z) \ (u * T(u \ w,v5)) = u * T(u \ (a(x,y,z) \ w),v5). [para(397087(a,1),265(a,1,2,2,1)),rewrite([397148(7),101346(8),397122(10),394737(8),50(7),397148(12)]),flip(a)]. 398858 L(L(x,y,z) * a(u,w,v5),a(u,w,v5),z * y) = (a(u,w,v5) \ (z * y)) \ (z * (y * x)). [para(397087(a,1),11971(a,1,1)),rewrite([28083(8),397148(11)])]. 398859 L((x * a(y,z,u)) \ w,x * a(y,z,u),a(y,z,u)) = x \ (a(y,z,u) \ w). [para(397087(a,1),60487(a,1,1,1)),rewrite([397087(7),26414(9),397122(11)])]. 398879 L(x,a(y,z,u),w) * (a(y,z,u) * w) = (x * a(y,z,u)) * w. [para(397087(a,2),401(a,2,1)),rewrite([385866(2),397087(9)])]. 398881 (x * y) / T(a(z,u,w) \ x,y) = (a(z,u,w) \ x) \ (x * y). [para(397087(a,1),112107(a,1,2,2)),rewrite([397122(5),385118(6),397122(9)])]. 398883 ((x * a(y,z,u)) * w) / T(x,w) = x \ ((x * a(y,z,u)) * w). [para(397087(a,1),113706(a,1,1,1)),rewrite([397087(7),385118(6),397087(9)])]. 398888 a((a(x,y,z) \ u) * w,v5,v6) = a(a(x,y,z) * (u * w),v5,v6). [para(397087(a,1),134028(a,1,1,2,2)),rewrite([12670(7),46528(4),397122(8)]),flip(a)]. 398890 L(x,x \ (y * a(z,u,w)),a(z,u,w)) \ y = a(z,u,w) \ (x \ (y * a(z,u,w))). [para(397087(a,1),168799(a,1,1,2,2)),rewrite([206104(7),393579(5),397417(10),397148(13)])]. 398893 a(x,y \ a(z,u,w),v5) = a(x,y * a(z,u,w),v5). [para(397087(a,1),170769(a,1,2,1)),rewrite([397087(6),26414(8),394187(7),269749(8)]),flip(a)]. 398895 (a(x,y,z) \ (a(x,y,z) \ u)) \ w = a(x,y,z) * ((u \ w) * a(x,y,z)). [para(397087(a,2),23536(a,1,1,1)),rewrite([61612(5),397693(4),397253(9),397880(10)])]. 398900 L(x / (y * a(z,u,w)),y * a(z,u,w),a(z,u,w)) = (a(z,u,w) \ x) / y. [para(397087(a,1),204224(a,1,2)),rewrite([397417(4),206104(9),393579(7),397148(11)])]. 398911 (a(x,y,z) \ u) \ (u * L(a(x,y,z) \ 1,w,v5)) = a(a(x,y,z),w,v5). [para(397087(a,1),304426(a,2,2,2)),rewrite([397148(4),397151(15),58(12),547(11)])]. 398943 a(a(x,y,z) * (u \ w),v5,a(v6,v7,v8)) = a(u * (w * a(x,y,z)),v5,a(v6,v7,v8)). [para(397087(a,1),396183(a,1,1,1)),rewrite([395380(5),397122(9),398387(10)])]. 398964 L(a(x,y,x) \ 1,z,u) = a(x,y,x) \ 1. [back_rewrite(318795),rewrite([398795(4)])]. 398969 x / L(L(a(y,z,u) \ 1,w,v5),v6,v7) = L(L(a(y,z,u) \ 1,w,v5),v6,v7) \ x. [back_rewrite(297099),rewrite([398795(4),398795(10)])]. 399003 L(R(x,y,z) \ R(R(x,y,z),u,x),w,v5) = a(x,u,x). [back_rewrite(308100),rewrite([398964(9),89226(10),49(9),324(8)])]. 399012 a(x,a(y,z,u),w \ v5) = a(x,a(y,z,u),w * v5). [para(60809(a,1),396754(a,1,3)),rewrite([68874(8)]),flip(a)]. 399098 T(x,y) / T(x * a(z,u,w),y) = a(z,u,w) \ 1. [hyper(5142,a,397122,a,b,219,a),rewrite([397122(7),394737(5),50(4),397087(5)])]. 399104 L(a(x,y,z),a(u,w,v5),v6) = a(x,y,z). [hyper(5083,a,386956,a(flip),b,397122,a),rewrite([397055(6),6743(5)]),flip(a)]. 399105 L(x,a(y,z,u) * w,a(y,z,u)) * w = a(y,z,u) * (x * (a(y,z,u) \ w)). [hyper(5083,a,135397,a(flip),b,397122,a),rewrite([397483(7),397087(7),19228(5),394477(9)]),flip(a)]. 399114 L(a(x,y,z),u,w) \ a(a(x,y,z),v5,v6) = L(L(a(x,y,z),u,w) \ 1,v5,v6). [hyper(295,a,310694,a,b,397122,a),rewrite([354781(8),269343(8),388661(4),17060(7),397148(6),388653(4),310595(15),389273(11),70966(12),388653(9),66271(12)]),flip(a)]. 399120 a(x,y,z) \ (u * L(a(x,y,z) \ 1,w,v5)) = L(a(x,y,z) \ 1,w,v5) * (a(x,y,z) \ u). [hyper(295,a,13622,a,b,397122,a),rewrite([293938(4),397122(9),159512(14),6706(10)])]. 399125 a(x,y,z) \ K(u,u \ 1) = (u \ (a(x,y,z) \ 1)) * u. [hyper(295,a,2412,a(flip),b,397122,a),rewrite([384802(11),64714(9)]),flip(a)]. 399126 (x \ (a(y,z,u) \ 1)) * x = x * ((a(y,z,u) \ 1) / x). [hyper(295,a,197,a(flip),b,397122,a),rewrite([384444(11),399125(10)]),flip(a)]. 399145 T(x \ (a(y,z,u) \ 1),x) = (a(y,z,u) \ 1) / x. [hyper(7088,a,397122,a(flip),b,2412,a(flip)),rewrite([384802(11),64714(9),399125(10),399126(10),50(11)])]. 399155 a(x,y,z) * (a(x,y,z) * (L(a(x,y,z),u,w) \ v5)) = L(a(x,y,z) \ 1,u,w) \ v5. [hyper(5142,a,397122,a(flip),b,118328,a),rewrite([397794(7),397417(9),394565(7),118583(6),294925(12)])]. 399174 (a(x,y,z) \ a(u,w,a(v5,v6,v7))) * v8 = a(u,w,a(v5,v6,v7)) * (a(x,y,z) \ v8). [para(397122(a,1),8362(a,1,2)),rewrite([24886(12)]),flip(a)]. 399213 (x * y) / T(a(z,u,w) * x,y) = (a(z,u,w) * x) \ (x * y). [para(397122(a,2),112107(a,1,2,2)),rewrite([397122(7),385657(6)])]. 399218 T(x \ a(y,z,u),x) \ 1 = 1 / (x \ a(y,z,u)). [para(397122(a,2),115269(a,1,1,2)),rewrite([397122(6),385657(5)])]. 399228 ((a(x,y,z) \ u) * (L(w,u,a(x,y,z)) * v5)) \ ((a(x,y,z) \ (u * w)) * v5) = a(a(x,y,z) * u,w,v5). [para(397122(a,1),7607(a,1,1,1)),rewrite([26414(6),397122(11),397122(15),26414(17),394187(16),398307(14)])]. 399234 R(x,y,z * (a(u,w,v5) \ z)) = R(x,y,L(a(u,w,v5),z,z)). [para(397122(a,1),217378(a,1,3,2)),rewrite([217672(9)])]. 399259 T(x \ a(y,z,u),x) * (a(y,z,u) \ x) = (a(y,z,u) \ x) * (x \ a(y,z,u)). [para(397122(a,2),345757(a,1,1,2)),rewrite([397122(6),385657(5)])]. 399292 1 / (x \ (a(y,z,u) \ 1)) = ((a(y,z,u) \ 1) / x) \ 1. [back_rewrite(397127),rewrite([399145(5)]),flip(a)]. 399294 (a(x,y,x) \ 1) / z = 1 / (a(x,y,x) * z). [back_rewrite(197806),rewrite([399145(5)])]. 399298 (x * (a(y,z,u) \ a(w,v5,a(v6,v7,v8)))) \ v9 = ((a(y,z,u) \ x) \ v9) * a(a(v6,v7,v8),v5,w). [back_rewrite(295383),rewrite([399174(5),388187(6)]),flip(a)]. 399504 a(x,y,z) \ (u * (a(x,y,z) * w)) = a(x,y,z) * (u * (a(x,y,z) \ w)). [para(397264(a,1),112669(a,1,1,2)),rewrite([397264(9),11961(10),397839(10),386006(10),32036(8),562(8),293938(8),293938(7),397148(7),397551(5),397126(9),10183(14),32036(13),562(13),293938(13),397148(12)]),flip(a)]. 399531 a(x,a(y,z,u),a(w,v5,v6)) = 1. [hyper(7049,a,395336,a,b,396724,a),rewrite([399104(3),323(3),395336(11),324(5)])]. 399535 a(x,a(y,z,u),w * L(w,v5,v6)) = 1. [hyper(7049,a,72892,a(flip),b,396724,a),rewrite([396752(4),323(5),324(6)])]. 399611 L(L(x,y,z) \ x,a(u,w,v5),v6) = L(x,y,z) \ x. [para(396724(a,1),156001(a,1,1)),rewrite([165285(4),399535(4),324(4)]),flip(a)]. 399655 (x \ y) * (a(z,u,w) * K(v5,x)) = T((y / T(x,v5)) * a(z,u,w),x). [hyper(5083,a,105236,a(flip),b,398776,a),rewrite([26536(5),28057(4),26514(4),171995(10),398771(8),7726(5),385017(10)])]. 399659 L(x,x,a(y,z,u)) * a(y,z,u) = (1 / x) \ a(y,z,u). [hyper(5083,a,398776,a,b,81065,a),rewrite([158808(5),50(6)])]. 399662 L(a(x,y,z),u,w * L(w,v5,v6)) = a(x,y,z). [hyper(5083,a,398776,a,b,91529,a(flip)),rewrite([395874(7),143267(9),378475(3),323(1),15(2),48(3),165303(4)])]. 399683 (x / (y * a(z,u,w))) * y = y * ((y * a(z,u,w)) \ x). [hyper(7088,a,207,a(flip),b,398776,a(flip)),rewrite([561(6),24258(13),561(8),50(12)])]. 399773 (x \ a(y,z,u)) * x = x * (a(y,z,u) / x). [para(25395(a,1),398776(a,1,1)),rewrite([547(2),386675(7),70(5),65068(6),394659(8)])]. 399784 a(x * ((x * y) * a(z,u,w)),v5,v6) = a(L(y * a(z,u,w),x,x),v5,v6). [para(398776(a,1),46456(a,1,1,1)),rewrite([394213(7),339647(12),150510(10),339647(10)])]. 399816 L(x,y,a(z,u,w) * ((v5 * v6) * L(v5,v6,a(z,u,w)))) = L(x,y,L(v6 * a(z,u,w),v5,v5)). [para(398776(a,1),85526(a,1,3,1)),rewrite([83339(7),339647(14),150510(12),339647(12)])]. 399872 ((L(x,y,z) \ x) * u) * a(w,v5,v6) = (L(x,y,z) \ x) * (u * a(w,v5,v6)). [para(156001(a,2),398776(a,1,1)),rewrite([395874(4),92656(4)]),flip(a)]. 399873 a(x,y,z) * (L(a(x,y,z),u,w) \ v5) = v5 * a(w,u,a(x,y,z)). [para(106454(a,1),398776(a,1,2)),rewrite([28083(6),150510(4),339196(4),397118(3),118297(5),159097(6),388661(4),397922(8),118583(8)]),flip(a)]. 399887 x * (y * a(x,y,a(z,u,w))) = L(x,y,a(z,u,w)) * y. [para(398776(a,1),42739(a,1,1)),rewrite([547(5),339647(7),118297(6),162969(6),399873(6),7735(4),70(8),49(8)])]. 399904 ((x \ R(x,y,z)) * u) * a(w,v5,v6) = (x \ R(x,y,z)) * (u * a(w,v5,v6)). [para(272623(a,2),398776(a,1,1)),rewrite([272623(6),395884(4)]),flip(a)]. 399916 ((x \ L(x,y,z)) * u) * a(w,v5,v6) = (x \ L(x,y,z)) * (u * a(w,v5,v6)). [para(305594(a,2),398776(a,1,1)),rewrite([305594(6),395248(4)]),flip(a)]. 399934 (x * (y \ L(y,z,u))) * a(w,v5,v6) = (y \ L(y,z,u)) * (x * a(w,v5,v6)). [para(102113(a,1),398776(a,2,1)),rewrite([395248(4)]),flip(a)]. 399977 T(x * (a(y,z,u) / x),w) = x * (a(y,z,u) / x). [back_rewrite(289390),rewrite([399773(3),399773(7)])]. 400007 a(x,y,z) * (u * a(w,v5,a(x,y,z))) = L(a(x,y,z) \ 1,v5,w) \ u. [back_rewrite(399155),rewrite([399873(6)])]. 400009 a(x,y,z) \ (L(a(x,y,z) \ 1,u,w) \ v5) = v5 * a(w,u,a(x,y,z)). [back_rewrite(397794),rewrite([399873(12)])]. 400016 L(a(x,y,z),u,w) \ (v5 * a(x,y,z)) = v5 * a(w,u,a(x,y,z)). [back_rewrite(162969),rewrite([399873(10)])]. 400018 (L(a(x,y,z),u,w) \ v5) * a(x,y,z) = v5 * a(w,u,a(x,y,z)). [back_rewrite(118583),rewrite([399873(10)])]. 400130 a(L(a(x,y,z),u,w) * (v5 \ v6),v7,a(v8,v9,v10)) = a(a(x,y,z) * (v6 \ v5),v7,a(v8,v9,v10)). [para(297511(a,2),398943(a,2,1,2)),rewrite([382507(8),399873(10),382507(10),394567(11),12667(14),395380(11)]),flip(a)]. 400159 a(a(x,y,z) * (u * ((u \ a(x,y,z)) * w)),v5,v6) = a(L(w,u \ a(x,y,z),u),v5,v6). [para(381(a,1),398307(a,1,1)),flip(a)]. 400167 a(a(x,y,z) * (u \ a(x,y,z)),w,v5) = a(u,w,v5). [para(268789(a,2),398307(a,1,1)),rewrite([561(4),393579(4),394186(5),46610(3)]),flip(a)]. 400178 L(x,a(y,z,u),a(w,v5,v6)) = x. [hyper(284,a,397055,a)]. 400179 (a(x,y,z) * a(u,w,v5)) * v6 = a(x,y,z) * (a(u,w,v5) * v6). [para(397055(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 400198 a(x,y,z) * (a(u,w,v5) * v6) = v6 * (a(x,y,z) * a(u,w,v5)). [back_rewrite(385741),rewrite([400179(4)])]. 400199 a(x,y,z) * (a(u,w,v5) * v6) = v6 * (a(u,w,v5) * a(x,y,z)). [back_rewrite(385708),rewrite([400179(4)])]. 400255 a(x,y,z) * (a(u,w,v5) * ((a(x,y,z) * a(u,w,v5)) \ v6)) = v6. [hyper(295,a,118801,a,b,400179,a),rewrite([394690(4),394690(4),53(8),394690(6),394690(6)]),flip(a)]. 400269 (a(x,y,z) * (a(x,y,z) * u)) * w = a(x,y,z) * (a(x,y,z) * (u * w)). [hyper(295,a,5,a,b,400179,a),rewrite([400179(4)])]. 400273 (a(x,y,z) \ a(u,w,v5)) * v6 = a(u,w,v5) * (a(x,y,z) \ v6). [hyper(295,a,72702,a(flip),b,400179,a),rewrite([397148(5),397693(10),51(11)])]. 400280 T(x,y) * (a(z,u,w) * a(v5,v6,v7)) = T(a(v5,v6,v7) * (x * a(z,u,w)),y). [hyper(295,a,4081,a(flip),b,400179,a),rewrite([384540(9),11(7),408(7),394690(11),385118(11),561(9),385056(9),385056(10),394568(9)])]. 400303 (a(x,y,z) * u) \ (a(w,v5,v6) * u) = T(a(x,y,z) \ a(w,v5,v6),u). [hyper(7088,a,400179,a(flip),b,190596,a),rewrite([6706(4),397148(5),385631(6),397122(12),51(11)]),flip(a)]. 400304 x / (a(y,z,u) * a(w,v5,v6)) = (a(y,z,u) * a(w,v5,v6)) \ x. [hyper(7088,a,400179,a(flip),b,118801,a),rewrite([394690(4),394690(4),385118(8),561(6),394690(13),394690(13),400255(15)])]. 400310 L(a(x,y,z),u,a(w,v5,v6) * a(v7,v8,v9)) = a(x,y,z). [hyper(7088,a,400179,a(flip),b,15015,a),rewrite([400179(9),386889(10),385631(8),60(6),547(2),400179(9),24267(16),394423(8),394423(10)])]. 400405 a(x,y,z) * K(u \ a(w,v5,v6),v7) = u * T(u \ a(x,y,z),v7). [hyper(5083,a,8764,a,b,400179,a(flip)),rewrite([398838(8),50(5),372457(10),384540(10)]),flip(a)]. 400409 a(x,y,z) * (u * (a(x,y,z) \ a(w,v5,v6))) = a(w,v5,v6) * u. [hyper(5083,a,410,a,b,400179,a(flip)),rewrite([394690(5),399504(6)])]. 400427 L(L(x,y,a(z,u,w)),y * a(z,u,w),a(v5,v6,v7)) = L(x,y,a(v5,v6,v7) * a(z,u,w)). [hyper(5083,a,400179,a(flip),b,76184,a),rewrite([400179(6),24267(14),28057(4),28083(4),77774(8),77943(8)])]. 400459 (a(x,y,z) * (a(x,y,z) * u)) \ w = u \ (a(x,y,z) \ (a(x,y,z) \ w)). [para(400179(a,1),11965(a,1,1)),rewrite([397693(9)])]. 400645 a(x,y,z) \ (x \ 1) = x \ (a(x,y,z) \ 1). [back_rewrite(394195),rewrite([400459(6),323(4)]),flip(a)]. 400695 L(x,y,z) * (x \ (a(u,w,v5) \ 1)) = x \ (a(u,w,v5) \ L(x,y,z)). [hyper(5083,a,397148,a(flip),b,158113,a),flip(a)]. 400701 x * (L(a(y,z,u) \ 1,w,v5) \ 1) = L(a(y,z,u) \ 1,w,v5) \ x. [hyper(5083,a,397148,a(flip),b,118328,a(flip)),rewrite([294925(9),400009(10),16922(7),397087(4),7735(5),394583(4)])]. 400702 (x * (L(y,z,u) \ y)) \ (a(w,v5,v6) \ ((L(y,z,u) \ y) * x)) = a(w,v5,v6) \ 1. [hyper(5083,a,397148,a(flip),b,91529,a(flip))]. 400733 R(a(x,y,z) \ (u * u),w,v5) = L(a(x,y,z) \ (u * u),w,v5). [para(397148(a,1),217392(a,2,1)),rewrite([398795(5),25954(6),397148(5)]),flip(a)]. 400736 a(x,y,z) \ (L(u,w,v5) * (u \ a(x,y,z))) = a(x,y,z) * (u \ (a(x,y,z) \ L(u,w,v5))). [para(397148(a,1),304442(a,1,1)),rewrite([397148(7),397572(6),304426(6),400695(15),397087(14),101346(12)])]. 400742 (a(x,y,z) \ u) * a(w,v5,v6) = u * (a(x,y,z) \ a(w,v5,v6)). [para(397148(a,1),398776(a,2,1)),rewrite([28083(5),400178(3),397122(5)]),flip(a)]. 400780 a(x,y,z) \ (u * a(w,v5,v6)) = u * (a(x,y,z) \ a(w,v5,v6)). [back_rewrite(394691),rewrite([400742(8)])]. 400789 a(x,y,z) \ (a(u,w,v5) * v6) = v6 * (a(x,y,z) \ a(u,w,v5)). [back_rewrite(394579),rewrite([400742(8)])]. 401074 a(L(x,y,z),u,x) = a(x,u,L(x,y,z)). [hyper(7088,a,377027,a(flip),b,7687,a),rewrite([158793(5),382956(6),547(5),158793(5),54(9)])]. 401177 T(L(x,y,z) * u,w) * x = T(x * u,w) * L(x,y,z). [hyper(5083,a,377027,a(flip),b,8487,a),rewrite([376915(3),5754(6),7763(6)]),flip(a)]. 401180 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [hyper(5083,a,377027,a(flip),b,7452,a),rewrite([6159(2),5754(5),7452(5)]),flip(a)]. 401209 (L(L(x,y,z),u,w) * v5) * L(x,u,w) = (L(x,u,w) * v5) * L(L(x,u,w),y,z). [para(64(a,1),377027(a,1,1,1))]. 401401 T(x,T(L(y,z,u) \ w,y * v5)) = T(x,T(w / L(y,z,u),v5)). [para(377027(a,2),121523(a,1,2,2)),rewrite([377027(5),380545(6),381302(5),27740(6)]),flip(a)]. 401599 (x * L(1 / x,y,z)) * L(1 / x,y,z) = L(x,y,z) * (x \ L(x \ 1,y,z)). [back_rewrite(350312),rewrite([401180(8),98304(4)])]. 401608 a(x,L(y,z,u),y) = a(x,y,L(y,z,u)). [back_rewrite(93336),rewrite([401180(3),7337(7)]),flip(a)]. 401638 T(x,T(L(y,z,u) \ L(y,w,v5),v6)) = x. [back_rewrite(381296),rewrite([401401(6),380904(5),91483(2),91472(3),25190(3)]),flip(a)]. 401662 (x * (L(y,z,u) \ 1)) * y = (x * y) * (1 / L(y,z,u)). [back_rewrite(194896),rewrite([401608(2),192576(8)]),flip(a)]. 401672 (x * L(y,z,u)) * (y \ 1) = (x * y) * L(y \ 1,z,u). [back_rewrite(72805),rewrite([401608(2),158482(6)]),flip(a)]. 401674 (L(x,y,z) \ L(x,u,w)) \ L(x,u,w) = L(x,y,z). [back_rewrite(360224),rewrite([401638(5)]),flip(a)]. 401684 R(x,y,R(y,z,u)) = R(x,y,L(y,z,u)). [back_rewrite(341593),rewrite([401662(9),6713(10),76435(5),91483(2),25190(3),204273(4),206104(4)]),flip(a)]. 401694 (a(x,y,z) * u) * L(u \ 1,w,v5) = u * (L(u \ 1,w,v5) * a(x,y,z)). [back_rewrite(385509),rewrite([401672(6)])]. 401700 (x * L(1 / y,z,u)) * y = (x * y) * L(y \ 1,z,u). [back_rewrite(206772),rewrite([401672(10)])]. 401703 L(L((x \ 1) \ 1,y,z),L(x,y,z),L(x,u,w)) = L(x,y,z). [back_rewrite(311442),rewrite([401674(13)])]. 401732 (x * L(y,z,u)) * (1 / y) = (x * y) * L(1 / y,z,u). [back_rewrite(341600),rewrite([401684(2),311804(7)]),flip(a)]. 401733 (x * L(y,z,u)) * (y \ K(w,v5)) = (x * y) * L(y \ K(w,v5),z,u). [back_rewrite(341597),rewrite([401684(2),218618(7)]),flip(a)]. 401741 (x * (1 / L(y,z,u))) * y = (x * y) * (L(y,z,u) \ 1). [back_rewrite(341581),rewrite([401684(2),206251(5)]),flip(a)]. 401754 R(x,y,R(y \ 1,z,u)) = R(x,y,L(y,z,u)). [back_rewrite(341566),rewrite([401684(6)])]. 401772 R(x,L(y,z,u),y) = R(x,y,L(y,z,u)). [back_rewrite(341463),rewrite([401684(4)])]. 401781 L(x,y,z) / L(x,u,w) = L(x,u,w) \ L(x,y,z). [back_rewrite(311379),rewrite([401703(9)])]. 401789 (x * L(y \ 1,z,u)) * y = (x * y) * L(1 / y,z,u). [back_rewrite(311867),rewrite([401732(10)])]. 401814 T(x * L(1 / y,y,x),y \ 1) = T(y \ x,y \ (y \ 1)). [hyper(7088,a,76184,a(flip),b,401180,a),rewrite([23218(7),214420(14),48(14),172459(14),175298(14)])]. 401843 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(5306,a,401180,a)]. 401857 x * L(1 / y,y,x) = x / y. [hyper(5142,a,76184,a(flip),b,401180,a),rewrite([214420(5),48(5),180297(7),51(6)]),flip(a)]. 401861 x * L(y,y,x) = x / (y \ 1). [hyper(5142,a,380,a(flip),b,401180,a),rewrite([179795(3),61746(2)]),flip(a)]. 401894 (x * T(y,z)) * L(T(y,z),u,w) = (x * y) * L(T(T(y,z),z),u,w). [hyper(5081,a,10133,a,b,401180,a),rewrite([26458(5),104858(4),168(3),401180(10)]),flip(a)]. 401903 (x / (y \ 1)) * y = x * (y * y). [hyper(5081,a,380,a(flip),b,401180,a),rewrite([401861(4)]),flip(a)]. 401975 T(x * L(y,z,u),w) \ ((x * y) * L(y,z,u)) = y * K(w,y * x). [hyper(5083,a,401180,a(flip),b,7760,a),rewrite([376813(10),39887(10)])]. 402089 ((x * y) * L(y,z,u)) \ (x * L(y,z,u)) = L(y \ 1,y,x * L(y,z,u)). [para(401180(a,1),12004(a,2,1)),flip(a)]. 402098 ((x * y) * L(y,z,u)) \ ((x * L(y,z,u)) * w) = L(y \ w,y,x * L(y,z,u)). [para(401180(a,1),382(a,2,1)),flip(a)]. 402311 (x * L(y,z,u)) \ (L(y,w,v5) * (y \ (x * L(y,z,u)))) = L(y \ L(y,w,v5),y,x * L(y,z,u)). [para(401180(a,1),304426(a,1,1)),rewrite([402098(8)]),flip(a)]. 402348 T(x \ y,x \ (x \ 1)) = T(y / x,x \ 1). [back_rewrite(401814),rewrite([401857(4)]),flip(a)]. 402372 x \ T(x / y,y \ 1) = x / (x * y). [back_rewrite(296678),rewrite([402348(5)])]. 402396 L(1 / x,x,y) = y \ (y / x). [back_rewrite(185718),rewrite([402372(5),234874(4)])]. 402675 T(x * L(y,z,u),w) * L(y * K(w,y * x),v5,v6) = (x * L(y,z,u)) * L(y,v5,v6). [para(401975(a,1),28584(a,1,2,1)),rewrite([401843(16)])]. 402886 a(x,y \ z,y * z) = a(x,y * z,y \ z). [para(60809(a,1),401608(a,1,2)),rewrite([68874(5),60809(10),68852(8)]),flip(a)]. 403019 L(x,x,y) = y \ (y / (x \ 1)). [hyper(5306,a,401861,a),flip(a)]. 403097 L(T(x,x \ 1),x,y) = L(x,x,y * x). [hyper(5083,a,210845,a(flip),b,401861,a),rewrite([337(4),62160(6),91988(5),111788(6),279212(6),337(8)])]. 403099 L(x,x,L(y,x,x)) = y * (R(y,x,x) \ x). [hyper(5083,a,190931,a(flip),b,401861,a),rewrite([206104(5),206751(3),337(5),386987(3),206104(8),206751(6),209136(5)]),flip(a)]. 403167 x / (L(x,y,z) \ 1) = (1 / x) \ L(x,y,z). [hyper(295,a,148178,a,b,401861,a),rewrite([150510(3),161838(3),86904(5),160878(5)]),flip(a)]. 403169 x / (R(x,y,z) \ 1) = (1 / x) \ R(x,y,z). [hyper(295,a,103085,a,b,401861,a),rewrite([209874(3),297923(3),103085(3),267635(3)]),flip(a)]. 403179 (1 / x) * L(y,y,x) = (1 / x) / (y \ 1). [hyper(295,a,60426,a,b,401861,a),rewrite([26402(3),26414(3),60426(3)])]. 403185 a(x,y,z) / (u \ 1) = (1 / u) \ a(x,y,z). [hyper(295,a,15040,a,b,401861,a),rewrite([399659(4)]),flip(a)]. 403189 a(x,y,z) \ L(u,u,a(x,y,z)) = (a(x,y,z) \ 1) / (u \ 1). [hyper(295,a,397122,a(flip),b,401861,a),rewrite([26414(5)])]. 403219 T(x * L(y,y,x * y),y) = (y \ x) * ((1 / y) \ y). [hyper(7088,a,401861,a(flip),b,401180,a),rewrite([210823(8),111788(9)])]. 403431 (x * y) * L(z,z,y * x) = (x * y) / (z \ 1). [hyper(5083,a,401861,a(flip),b,10878,a),rewrite([5754(9),1039(2),235765(9),9736(5),9734(5),25262(9)]),flip(a)]. 403475 x * L(T(y,z),y,x) = x / (T(y,z) \ 1). [para(60(a,2),401861(a,1,2)),rewrite([26536(2),60(2)])]. 403476 x * L(L(y,L(y,z,u),x),z,u) = x / (L(y,z,u) \ 1). [para(64(a,1),401861(a,1,2))]. 403502 x * L(y \ 1,y,x) = x / T(y,y \ 1). [para(411(a,2),401861(a,2,2)),rewrite([28083(5)])]. 403505 a(L(x,x,y) * y,z,u) = a(x \ y,z,u). [para(401861(a,1),12550(a,1,1)),rewrite([12554(4),68848(4)]),flip(a)]. 403531 (x / (y \ 1)) * L(L(z,L(y,y,x),x),u,w) = x * (L(y,y,x) * L(z,u,w)). [para(401861(a,1),24271(a,1,1))]. 403575 a(x * ((L(y,y,z) * z) * u),w,v5) = a(((y \ z) * u) * x,w,v5). [para(401861(a,1),46702(a,1,1,1,1)),rewrite([46510(6),68914(6)]),flip(a)]. 403603 T(x,y \ (z * u)) = T(x,(y \ z) * u). [para(401861(a,1),60848(a,2,2,2)),rewrite([381611(4),60848(3),127165(8)])]. 403612 a(x,y,z \ (u \ 1)) = a(x,y,z \ u). [para(401861(a,1),72848(a,1,3)),rewrite([14988(6),68874(6),26414(7),401861(6),14988(8),68874(8)])]. 403628 x * L(L(y,y,y),y,x) = x / (1 / y). [para(80800(a,1),401861(a,2,2)),rewrite([65126(3),69340(9)])]. 403632 (x \ L(x,y,z)) * L(u,u,x * L(x,y,z)) = (x \ L(x,y,z)) / (u \ 1). [para(83146(a,1),401861(a,1,2))]. 403636 L(x,y,z \ (u \ 1)) = L(x,y,z \ u). [para(401861(a,1),83104(a,1,3)),rewrite([26402(6),83147(6),26414(7),401861(6),26402(8),83147(8)])]. 403700 a(x * (L(y,y,z) * z),u,w) = a(x * (y \ z),u,w). [para(401861(a,1),46791(a,1,1,2)),rewrite([12592(5),68916(5)]),flip(a)]. 403742 (L(x,x,a(y,z,u)) * ((1 / x) \ a(y,z,u))) / L(x,x,a(y,z,u)) = (1 / x) \ a(y,z,u). [para(401861(a,1),164271(a,1,1,2)),rewrite([403185(6),399659(14)])]. 403795 R(x,y,z \ (u \ 1)) = R(x,y,z \ u). [para(401861(a,1),217015(a,1,3)),rewrite([204273(6),217280(6),26414(7),401861(6),204273(8),217280(8)])]. 403852 x * L(y \ R(y,z,u),y * R(y,z,u),x) = (R(y,z,u) \ y) \ x. [para(272623(a,2),401861(a,1,2)),rewrite([174146(3),174146(7),272623(8),358191(10),287688(9)])]. 403909 L(a(x,y,z),u,w) * L(v5,v5,a(x,y,z)) = L(a(x,y,z),u,w) / (v5 \ 1). [para(339196(a,1),401861(a,1,2))]. 403937 a(L(x,x,y) * (y \ z),u,a(w,v5,v6)) = a(z * (x \ y),u,a(w,v5,v6)). [para(401861(a,1),395380(a,1,1,1)),rewrite([12534(6),396183(6),46976(6),395380(4)]),flip(a)]. 403957 ((x * y) \ x) * ((1 / y) \ y) = L(y,y,x * y). [back_rewrite(279212),rewrite([403097(10)])]. 404119 T(x,(x \ y) * z) = T(x,y * (x \ z)). [back_rewrite(390048),rewrite([403603(3)])]. 404129 L(T(x \ y,(y \ x) * z),u,w) = L(T(x \ y,x * (y \ z)),u,w). [back_rewrite(389874),rewrite([403603(4)])]. 404152 T(x,(y \ (z \ 1)) * u) = T(x,y \ (z \ u)). [back_rewrite(389535),rewrite([403603(5)])]. 404543 T(x,(R(y * (z * (y \ 1)),u,w) \ y) * v5) = T(x,y * (R(z,u,w) \ v5)). [back_rewrite(285125),rewrite([403603(8)])]. 404545 T(x,R(y \ z,u,w) \ (y \ v5)) = T(x,(R(y * z,u,w) \ y) * v5). [back_rewrite(284773),rewrite([403603(10)])]. 404823 T(x,y \ (L(z / y,u,w) \ v5)) = T(x,(L(y * z,u,w) \ y) * v5). [back_rewrite(173270),rewrite([403603(5)]),flip(a)]. 405377 ((x \ y) \ z) * T(u,(y \ x) * z) = u * ((x \ y) \ z). [back_rewrite(61907),rewrite([403603(5)])]. 405411 T(x,(y \ z) \ u) = T(x,(z \ y) * u). [back_rewrite(60848),rewrite([403603(6)])]. 405445 L(x,y \ (z \ 1),y \ z) = L(x,y \ z,y \ z). [back_rewrite(269928),rewrite([403636(7)])]. 405769 T(x,L(y \ z,u,w) \ (y \ v5)) = T(x,(L(y * z,u,w) \ y) * v5). [back_rewrite(12422),rewrite([404823(10)])]. 405934 L(L(x,L(y,y,z),z),u,w) * (z / (y \ 1)) = z * (L(y,y,z) * L(T(x,z * y),u,w)). [hyper(295,a,147512,a(flip),b,403531,a),rewrite([121397(12)])]. 405962 K(x * (y * L(z,u,w)),v5) = K(x * (y * z),v5). [para(403531(a,1),181(a,2,1)),rewrite([405934(7),121397(10),26985(9),371251(8),376833(8),376166(7),2530(6),371251(5),2499(5),371251(3),376833(8)]),flip(a)]. 406028 x * L(y \ L(y,z,u),y,x) = L(y,z,u) * (y \ x). [para(12004(a,1),403531(a,1,2,1)),rewrite([401861(5),340(7),159326(7),69933(9),305327(7)]),flip(a)]. 406298 ((x \ y) \ z) * L(T(x \ y,x * (y \ z)),u,w) = L(x \ y,u,w) * ((x \ y) \ z). [hyper(5081,a,159326,a,b,405377,a),rewrite([159326(9),60(12),404129(12)]),flip(a)]. 406330 (L(x,y,z) \ u) * T(w,x \ u) = w * (L(x,y,z) \ u). [para(56(a,1),405377(a,1,1,1)),rewrite([381432(8),381434(6),56(9)])]. 406430 K(x,y \ ((z \ u) \ w)) = K(x,y \ (u \ (z * w))). [para(405377(a,2),91922(a,1,2)),rewrite([405377(8),380580(6),91922(6)]),flip(a)]. 406614 K(x * ((y \ z) \ u),w) = K(x * ((z \ y) * u),w). [para(405377(a,2),92476(a,2,1)),rewrite([374845(6),372548(6),405377(10)]),flip(a)]. 406722 K((x \ (y * z)) * u,w) = K((x \ y) * (z * u),w). [back_rewrite(374181),rewrite([406614(7),371421(7),374903(6)])]. 406823 (((x * y) \ z) \ u) * ((x * y) \ z) = ((y \ (x \ z)) \ u) * (y \ (x \ z)). [back_rewrite(374118),rewrite([406722(6),374117(7)]),flip(a)]. 406935 (L(x,y,z) * (x \ L(x,y,z))) / (1 / x) = L(x,y,z) * L(x,y,z). [hyper(5142,a,381173,a(flip),b,180145,a),rewrite([188068(2),350965(4),6174(7),409(6)])]. 406940 (x * L(y,z,u)) / T(y,x) = y \ (x * L(y,z,u)). [hyper(5083,a,381173,a(flip),b,242321,a),rewrite([6159(2),5754(5),237536(5),158680(4)]),flip(a)]. 406943 K(x,y) * (x \ (y * L(x,z,u))) = (y / x) * L(x,z,u). [hyper(5081,a,242321,a,b,381173,a(flip)),rewrite([6159(2),406940(5)])]. 406968 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [para(235(a,1),381173(a,1,2)),rewrite([27438(4),168(3),11573(3),231508(6),7724(10),160072(9),158680(8),406943(8)])]. 406980 (L(x,y,z) * a(u,w,v5)) / x = (a(u,w,v5) / x) * L(x,y,z). [para(561(a,1),381173(a,1,2))]. 407240 L(L(x,y,z),u,w) / x = x \ L(L(x,y,z),u,w). [para(304637(a,1),381173(a,1,1)),rewrite([6174(6),381611(5),323(3),408(4),307808(9)])]. 407279 ((x * (L(y,z,u) \ y)) / y) * L(y,z,u) = R(x,y \ L(y,z,u),L(y,z,u)). [back_rewrite(306271),rewrite([406968(6)])]. 407281 R((L(x,y,z) \ x) \ u,x \ L(x,y,z),L(x,y,z)) = (u / x) * L(x,y,z). [back_rewrite(306267),rewrite([406968(10)])]. 407301 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(18716,a,406968,a)]. 407304 (x / (1 / y)) / y = (x / y) / (y \ 1). [hyper(5081,a,401861,a(flip),b,406968,a),rewrite([26402(6),24804(7),211798(7)]),flip(a)]. 407317 (L(x,y,z) \ u) / x = (x \ u) / L(x,y,z). [hyper(5142,a,243771,a,b,406968,a(flip)),rewrite([5537(4),378475(3),243771(4),52(3)]),flip(a)]. 407339 T(x * L(y,z,u),w) / y = y \ T(L(y,z,u) * x,w). [hyper(5083,a,406968,a(flip),b,236781,a),rewrite([376813(3),5754(6),376737(6)]),flip(a)]. 407573 ((x * y) * y) \ (x * ((y * y) * z)) = x * (R(x,y,y) \ z). [para(6(a,1),387203(a,2,2)),rewrite([180025(6),72446(5),61746(4),89886(5),298203(3)]),flip(a)]. 407806 x * (R(x,y,y) \ y) = L(y,y,x). [back_rewrite(391129),rewrite([407573(6)])]. 407823 L(x,x,L(y,x,x)) = L(x,x,y). [back_rewrite(403099),rewrite([407806(5)])]. 407840 K(x \ a(y,z,u),w) = K(x \ 1,w). [hyper(5081,a,5548,a,b,384019,a),rewrite([5548(3),174817(8),6599(6)]),flip(a)]. 407855 K(x * (a(y,z,u) \ w),v5) = K(x * w,v5). [para(13288(a,2),384019(a,1,1)),rewrite([385657(4),547(2),371379(6),6706(4),374543(6)]),flip(a)]. 407906 a(x,y,z) * K(u \ 1,w) = u * T(u \ a(x,y,z),w). [back_rewrite(400405),rewrite([407840(4)])]. 407918 K(a(x,y,z) / u,w) = K(u \ 1,w). [back_rewrite(6599),rewrite([407840(6)])]. 407924 K((a(x,y,z) \ u) * w,v5) = K(u * w,v5). [back_rewrite(374543),rewrite([407855(8)])]. 407937 T(x,T(L(y,z,u) * w,v5)) = T(x,T(y * w,v5)). [para(376915(a,1),186(a,1,2,2)),rewrite([7726(5),380648(6),7772(5)]),flip(a)]. 407955 K(x,y * (L(z,u,w) * v5)) = K(x,y * (z * v5)). [para(11786(a,1),376915(a,1,2)),rewrite([376915(6),380648(7),11786(8),376915(8)])]. 408030 T(x,y * (L(y,z,u) \ w)) = T(x,w). [back_rewrite(380740),rewrite([407937(13),92045(12),61871(10),324(7),127204(8),401662(5),194184(7),379420(3),162844(5)])]. 408090 (x * y) / T((z \ L(z,u,w)) * x,y) = (x * (z \ L(z,u,w))) \ (x * y). [back_rewrite(349899),rewrite([408030(8)])]. 408104 T(x,y * (L(z,u,w) \ z)) = T(x,y). [back_rewrite(306197),rewrite([408030(8)])]. 408165 T(x,L(T(y,z),u,w) \ v5) = T(x,T(y,z) \ v5). [back_rewrite(306256),rewrite([408104(6)]),flip(a)]. 408210 T(x,y \ (L(z,u,w) \ v5)) = T(x,y \ (z \ v5)). [back_rewrite(147532),rewrite([408165(5),12444(4)]),flip(a)]. 408211 T(x,L(y,z,u) \ w) = T(x,y \ w). [back_rewrite(127907),rewrite([408165(5),45306(4)]),flip(a)]. 408237 T(x,(L(y * z,u,w) \ y) * v5) = T(x,z \ v5). [back_rewrite(404823),rewrite([408210(5),12399(4)]),flip(a)]. 408272 (x \ (L(x,y,z) \ u)) \ (x \ u) = L(T(x,x \ (x \ u)),y,z). [back_rewrite(354571),rewrite([408210(4)]),flip(a)]. 408290 T(x,T(y,z) \ ((u \ z) \ w)) = T(x,z \ (y \ (u * w))). [back_rewrite(168605),rewrite([408210(6)]),flip(a)]. 408316 T(x,(y \ z) * (z \ u)) = T(x,y \ u). [back_rewrite(405769),rewrite([408211(5),405411(4),408237(9)])]. 408328 T(x,(a(y,z,u) \ w) * v5) = T(x,w * v5). [back_rewrite(396059),rewrite([408211(5),405411(4)])]. 408513 (L(x,y,z) \ u) * (T(x,x \ u) * w) = (u / L(x,y,z)) * (x * w). [back_rewrite(118330),rewrite([408211(5)])]. 408557 L(T(x,x \ y),z,u) \ y = T(L(x,z,u) \ y,x). [back_rewrite(13530),rewrite([408211(3)])]. 408684 K(x,y * ((z * u) * w)) = K(x,y * (z * (u * w))). [para(7687(a,1),383739(a,1,2,2))]. 408685 K(x,y * (z * (a(u,w,v5) * v6))) = K(x,y * (z * v6)). [para(8319(a,1),383739(a,1,2)),rewrite([408684(8),381153(8),8319(10),408684(11),381153(11)])]. 408931 T(x * (a(y,z,u) * K(x * w,x)),w) = R(x * a(y,z,u),w,x * a(y,z,u)). [para(380622(a,1),1735(a,1,1,2)),rewrite([371251(6),384488(6),7726(5)])]. 408949 K(x,y \ (z \ (u * w))) = K(x,(y \ (z \ u)) * w). [hyper(295,a,12016,a(flip),b,381028,a),rewrite([380978(8)])]. 408950 K(x,T(y \ (z * u),w)) = K(x,T((y \ z) * u,w)). [hyper(295,a,11749,a(flip),b,381028,a),rewrite([11749(9)])]. 408966 T(x,(y \ (z * u)) * K(w,(y \ z) * u)) = T(x,T(y \ (z * u),w)). [para(381028(a,1),186(a,1,2,2))]. 408975 K(x,(y \ z) * T(u,z)) = K(x,(y \ u) * z). [para(251(a,1),381028(a,1,2,2)),rewrite([54673(5),381028(3),54365(8)]),flip(a)]. 408982 K(x,(y \ (z * u)) * w) = K(x,(y \ z) * (u * w)). [para(7687(a,1),381028(a,1,2,2)),rewrite([381028(4),382017(10),381028(8)])]. 409036 K(x,(y \ L(z,u,w)) * v5) = K(x,(y \ z) * v5). [para(49057(a,1),381028(a,1,2,2)),rewrite([381028(4),49481(10),407955(10),91922(9),381028(7)])]. 409085 K(x,(y \ R(z,u,w)) * v5) = K(x,(y \ z) * v5). [para(103017(a,1),381028(a,1,2,2)),rewrite([381028(5),409036(5),376813(10),288590(9),408975(8)])]. 409113 K(x,y \ (z \ L(u,w,v5))) = K(x,y \ (z \ u)). [para(28563(a,1),381028(a,1,2,2)),rewrite([376813(10),381958(9)])]. 409236 K(x,y \ ((z \ u) \ w)) = K(x,(y \ (u \ z)) * w). [back_rewrite(406430),rewrite([408949(8)])]. 409249 ((x \ y) \ z) * (u / ((x \ y) \ z)) = (y \ (x * z)) * (u / (y \ (x * z))). [back_rewrite(373250),rewrite([408949(6),381855(7)])]. 409278 K(x,(y \ (z \ y)) * u) = K(x,T(z,y) \ u). [back_rewrite(74615),rewrite([408949(4)])]. 409335 K(x,(x \ y) * z) = K(x,y * (x \ z)). [back_rewrite(288997),rewrite([408950(4),1300(4),408975(7)]),flip(a)]. 409347 K(x,T((y \ (z \ u)) * z,u)) = K(x,(z * (u / z)) / y). [back_rewrite(245057),rewrite([408950(5)])]. 409734 x * K((y \ z) * u,(u \ (z \ y)) * x) = (y \ (z * u)) * (x / (y \ (z * u))). [back_rewrite(381855),rewrite([409249(13)])]. 409886 x * (y * K(z,x * (z \ y))) = z * ((x * y) / z). [back_rewrite(289315),rewrite([409335(3)])]. 410138 K(x,(y \ z) * (x \ y)) = K(x,y * (x \ (z / y))). [back_rewrite(112382),rewrite([409347(5),238(4),381028(4),409335(4),409335(8)]),flip(a)]. 410558 a(x,y,z) \ (u * (w / u)) = u * ((a(x,y,z) \ w) / u). [hyper(295,a,397122,a(flip),b,409886,a),rewrite([397122(6),383910(5),197(4),397122(8)])]. 410664 K(x,y * (x \ L(y \ 1,z,u))) = K(x,x \ 1). [hyper(7088,a,409886,a(flip),b,292801,a),rewrite([5678(8),381611(9),323(7),408(8),69933(12),367(13),409113(10),323(7)])]. 410883 T(x,x \ 1) \ (y \ L(y,z,u)) = (y \ L(y,z,u)) / x. [hyper(5083,a,292801,a,b,409886,a(flip)),rewrite([410664(6),5678(5),43819(7),66917(7),69933(10)])]. 410893 x * L(x \ (y / x),z,u) = L(y,z,u) / x. [hyper(5083,a,349543,a(flip),b,409886,a(flip)),rewrite([410138(5),188068(2),380915(5),378715(4),50045(3),144988(5),312038(4),51(5),69930(4),377886(7),323(5),48(6)])]. 411167 T(x,K(y,z)) * (u / x) = x * (u / T(x,K(y,z))). [para(44029(a,1),409886(a,1,2,2,2)),rewrite([50045(6),197(5),7763(5),231272(8),54201(8)])]. 411322 T(x,T((y \ z) * u,y * (z * w))) = T(x,T(u * (y \ z),w)). [para(409886(a,1),115799(a,1,2,1)),rewrite([327820(7),381302(5),7725(13),40223(12),409335(11),409886(13),4743(11)])]. 411397 (x \ (y * z)) * (u / (x \ (y * z))) = ((x \ y) * z) * (u / ((x \ y) * z)). [para(57862(a,2),409886(a,1,2,2,2,2)),rewrite([57862(8),91687(9),238(7),12016(7),409236(7),48(8),409734(7),49(10)])]. 411732 (x \ y) * L((x \ y) \ (1 / x),z,u) = (y \ L(y,z,u)) / x. [back_rewrite(304325),rewrite([410883(13)])]. 411838 ((x \ y) \ z) * (u / ((x \ y) \ z)) = ((y \ x) * z) * (u / ((y \ x) * z)). [back_rewrite(409249),rewrite([411397(12)])]. 412045 K(x,y * (x \ (z * u))) = K(x,y * (z * (x \ u))). [para(95099(a,1),409335(a,1,2,1)),rewrite([377524(6),6332(6),409335(4),291192(12),377524(10),6332(10)])]. 412589 L(L(x,y,z),u,w) / (1 / x) = x * L(L(x,y,z),u,w). [para(407240(a,1),211798(a,1,1)),rewrite([149376(5),50(2)]),flip(a)]. 412863 (x * ((x \ y) * a(z,u,w))) \ ((y * a(z,u,w)) * v5) = a(x,x \ y,a(z,u,w)) * v5. [hyper(5081,a,388135,a,b,387235,a),rewrite([388135(4),5531(12)]),flip(a)]. 412918 (a(x,y,z) * ((a(x,y,z) \ u) * w)) \ ((u * w) * v5) = a(w,u,a(x,y,z)) * v5. [para(6706(a,2),387235(a,1,1,1,2,1)),rewrite([6706(3),398359(9),398679(9),5531(8),398359(12),398679(12)])]. 413070 (a(x,y,z) * a(u,w,v5)) \ v6 = a(u,w,v5) \ (a(x,y,z) \ v6). [hyper(295,a,11892,a(flip),b,400178,a)]. 413100 x / (a(y,z,u) * a(w,v5,v6)) = a(w,v5,v6) \ (a(y,z,u) \ x). [back_rewrite(400304),rewrite([413070(8)])]. 413119 a(a(x,y,z),a(x,y,z) * u,w) = a(w,u,a(x,y,z)). [hyper(5081,a,353,a,b,395220,a),rewrite([353(7),398359(4),398679(4),394477(6),395220(7)]),flip(a)]. 413120 a(a(x,y,z),u,w \ v5) = a(a(x,y,z),u,v5 * w). [hyper(295,a,306629,a,b,395220,a),rewrite([395270(5),386756(5),48(5)]),flip(a)]. 413159 (x * L(y,z,a(u,w,v5))) \ (x * y) = a(a(u,w,v5),z,y). [para(395220(a,1),21093(a,1,2,2)),rewrite([561(7),313684(5),395220(8),394205(10),5530(8)])]. 413170 (x \ (a(y,z,u) * w)) \ ((a(y,z,u) \ x) \ w) = a(w * (x * a(y,z,u)),x,a(y,z,u)). [para(60487(a,1),395220(a,1,1)),rewrite([397561(14),398359(14),413120(14),398679(14)])]. 413219 L(x,y,z * L(u,w,a(v5,v6,v7))) = L(x,y,z * u). [para(395220(a,1),356911(a,2,3,2,2)),rewrite([309946(7),310021(8),83724(5),85921(9)]),flip(a)]. 413235 L(L(x,y,z) \ x,R(u,w,v5),v6) = L(L(x,y,z) \ x,L(u,w,v5),v6). [hyper(5081,a,291306,a,b,382630,a),rewrite([291306(6),215709(8),382630(8)])]. 413253 R(L(x \ L(x,y,z),u,w) \ 1,v5,v6) = L(L(x \ L(x,y,z),u,w) \ 1,v5,v6). [para(63(a,2),382630(a,1,1,1)),rewrite([63(2),306585(4),306585(10)])]. 413264 R((x \ (L(y,z,u) * (y \ x))) \ 1,w,v5) = L((x \ (L(y,z,u) * (y \ x))) \ 1,w,v5). [para(57669(a,2),382630(a,1,1,1)),rewrite([306639(7),306638(13)])]. 413274 L(L(x,y,z) \ x,u,w) * (u * w) = ((L(x,y,z) \ x) * u) * w. [para(382630(a,1),401(a,1,1))]. 413278 R((x \ y) \ ((y \ x) \ 1),z,u) = L((x \ y) \ ((y \ x) \ 1),z,u). [para(170410(a,2),382630(a,1,1,1)),rewrite([170410(5),307765(5),307765(11)])]. 413281 (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ K(v5,v6)) = (x * L(x,y,z)) * (L(x * L(x,y,z),u,w) \ K(v5,v6)). [para(382630(a,2),162956(a,1,1,1)),rewrite([382630(3),306855(6),162956(8),335506(16)]),flip(a)]. 413291 L(x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)),x * L(x,y,z),w * u) = a(x * L(x,y,z),u,w). [para(382630(a,1),265975(a,1,1,2)),rewrite([304101(6),162681(6),165220(10),163148(13)])]. 413367 L(x \ R(x,y,L(y,z,u)),x,y * R(y,z,u)) = a(x,y,R(y,z,u)). [para(401684(a,1),256868(a,1,1,2))]. 413407 L(x * L(x,y,z),a(u,w,v5),v6) = x * L(x,y,z). [hyper(5081,a,305146,a,b,385866,a),rewrite([396752(5),354134(4),323(3),51(3),309024(6),385866(6)]),flip(a)]. 413436 L(x,R(y,z,u),a(w,v5,v6)) = L(x,L(y,z,u),a(w,v5,v6)). [hyper(295,a,215709,a,b,393579,a),rewrite([393579(3)])]. 413447 L(x,y,a(z,u,w)) * (x \ v5) = a(x,y,a(z,u,w)) * v5. [para(393579(a,1),62852(a,1,2,1)),rewrite([158527(4),395197(4),393579(5)]),flip(a)]. 413484 T((x \ a(y,z,u)) \ 1,x \ 1) = 1 / (x \ a(y,z,u)). [hyper(5081,a,66904,a,b,399218,a),rewrite([385459(7),399218(12)])]. 413503 1 / (x \ a(y,z,u)) = (a(y,z,u) / x) \ 1. [para(58(a,2),399218(a,1,1)),rewrite([399773(3),50(4)]),flip(a)]. 413529 ((a(x,y,z) / u) \ 1) \ 1 = u \ a(x,y,z). [para(399218(a,2),340(a,1,1)),rewrite([399218(5),413503(4)])]. 413530 T((a(x,y,z) / u) \ 1,u \ 1) = (u \ a(x,y,z)) \ 1. [para(399218(a,2),412(a,1,1)),rewrite([399218(5),413503(4),385459(7)])]. 413537 T(L(x,y,z) \ a(u,w,v5),x) \ 1 = (a(u,w,v5) / L(x,y,z)) \ 1. [para(6174(a,1),399218(a,1,1)),rewrite([413503(11)])]. 413546 T(x \ a(y,z,u),x) = a(y,z,u) / x. [para(399218(a,1),337(a,1,2)),rewrite([413503(5),337(6)]),flip(a)]. 413548 (a(x,y,z) / u) \ K(u,u \ 1) = (u \ a(x,y,z)) \ 1. [para(399218(a,1),11215(a,1,1)),rewrite([413503(4),407840(7),64714(7),95550(8),1816(5),407840(13),64714(13),44462(14),48(12),948(11),408(12)])]. 413572 K(x,(a(y,z,u) / w) \ 1) = K(x,w). [para(399218(a,2),34821(a,2,2)),rewrite([408(6),382462(5),49(4),383910(3),413546(4)]),flip(a)]. 413575 1 / (a(x,y,z) / u) = (u \ a(x,y,z)) \ 1. [para(399218(a,2),42098(a,1,1)),rewrite([413546(3),407840(7),64714(7),95550(8),1816(5),413548(6)]),flip(a)]. 413616 (a(x,y,z) / L(u,u,u)) \ 1 = (u \ a(x,y,z)) \ 1. [para(80800(a,1),399218(a,2,2)),rewrite([6174(5),413537(6),413503(13),403185(11),337(9)])]. 413617 T(((x \ 1) \ 1) \ a(y,z,u),x) \ 1 = (x \ a(y,z,u)) \ 1. [para(80800(a,2),399218(a,2,2)),rewrite([405411(11),324(8),49(8),413503(14),413616(14)])]. 413633 ((x \ a(y,z,u)) \ 1) \ 1 = a(y,z,u) / x. [para(399218(a,1),3850(a,1,1,2)),rewrite([413546(3),413503(6),411(7),413529(6),413546(5),389410(7),397148(6),385657(5),413546(3),413546(5),413546(9),386655(9),413530(9)]),flip(a)]. 413647 K(x,x \ 1) * (a(y,z,u) / x) = x \ a(y,z,u). [para(399218(a,1),116975(a,1,1,1)),rewrite([413503(4),413546(7),65068(7),413572(7),2399(3),407840(3),64714(3),413546(6),413546(12),413575(12),337(13),48(10)])]. 413649 T((x \ a(y,z,u)) \ 1,x) = (x \ a(y,z,u)) \ 1. [para(399218(a,1),31412(a,1,2)),rewrite([413546(4),413575(4),413503(8),389410(9),397148(8),385657(7),413546(9),413575(9)])]. 413651 K(x,y) * ((z \ a(u,w,v5)) \ 1) = K(x,y) / (a(u,w,v5) / z). [para(120122(a,1),399218(a,2,2)),rewrite([385459(5),69015(5),385459(11),69015(11),405411(11),5754(8),49(10),121738(9),12023(11),413617(10),413546(10),75568(12)])]. 413681 a(x \ a(y,z,u),x * a(y,z,u),w) \ w = L(w,x \ a(y,z,u),x \ a(y,z,u)). [para(399218(a,1),7596(a,1,1,2)),rewrite([413546(3),413503(6),50864(7),14827(5),398893(5),12554(5),48(7),413546(9),413546(11),61613(14),26402(11),28057(11)])]. 413767 ((a(x,y,z) / u) \ 1) \ ((a(x,y,z) \ u) * (u \ a(x,y,z))) = (u * ((u \ a(x,y,z)) \ 1)) \ u. [para(399218(a,2),346463(a,1,1)),rewrite([413546(3)])]. 413769 (a(x,y,z) \ u) * ((a(x,y,z) / u) \ 1) = (u \ a(x,y,z)) \ (a(x,y,z) \ u). [para(399218(a,2),355323(a,1,2)),rewrite([413546(5)])]. 413790 T((x \ a(y,z,u)) \ 1,x \ 1) = (a(y,z,u) / x) \ 1. [back_rewrite(413484),rewrite([413503(11)])]. 413803 (a(x,y,z) / u) * (a(x,y,z) \ u) = (a(x,y,z) \ u) * (u \ a(x,y,z)). [back_rewrite(399259),rewrite([413546(3)])]. 413837 a(x,y,z) / T(u,u \ 1) = u \ a(x,y,z). [para(413503(a,2),160(a,2,2,1)),rewrite([413575(5),337(6),413503(8),384005(11),8750(11),6706(6),384632(9),66937(8)]),flip(a)]. 413914 T((1 / x) \ a(y,z,u),x \ 1) = a(y,z,u) / (1 / x). [hyper(5081,a,211798,a,b,413546,a),rewrite([211798(4),23218(11)]),flip(a)]. 414095 T((K(x,y) / z) \ a(u,w,v5),z \ K(x,y)) = a(u,w,v5) / (K(x,y) / z). [para(75801(a,2),413546(a,1,1)),rewrite([43754(6),193507(6),75559(7)])]. 414102 T((x \ 1) * a(y,z,u),x) = a(y,z,u) * (1 / x). [para(206986(a,1),413546(a,1,1)),rewrite([393579(6),6174(7),393579(8),59164(9)])]. 414112 K(x,x \ 1) * (a(y,z,u) / w) = (x * (a(y,z,u) / x)) / w. [para(413546(a,2),243771(a,1,2)),rewrite([407840(3),64714(3),413546(6),399773(9)])]. 414168 R(x \ a(y,z,u),x,x) = a(y,z,u) * (1 / x). [back_rewrite(248916),rewrite([414102(5)]),flip(a)]. 414169 (x * (a(y,z,u) / x)) / x = x \ a(y,z,u). [back_rewrite(413647),rewrite([414112(6)])]. 414237 T(x,(y \ (z * u)) * w) = T(x,(y \ z) * (u * w)). [para(54(a,1),408316(a,1,2,2)),rewrite([385118(6),403603(4),403603(8)]),flip(a)]. 414239 T(x,(y \ z) * T(u,z)) = T(x,(y \ u) * z). [para(58(a,1),408316(a,1,2,2)),rewrite([403603(7)])]. 414298 T(x,y \ ((z / u) \ w)) = T(x,(y \ u) * (z \ w)). [para(26452(a,2),408316(a,1,2,1)),rewrite([380648(6),12024(8)]),flip(a)]. 414399 T(x,(y \ L(z,u,w)) * v5) = T(x,(y \ z) * v5). [para(158527(a,1),408316(a,1,2,2)),rewrite([382956(6),53(3),403603(7)]),flip(a)]. 414409 T(x,R(y,z,u) * ((y \ w) * ((R(y,z,u) * w) \ v5))) = T(x,y \ v5). [para(62852(a,1),408316(a,1,2,1)),rewrite([381302(8)])]. 414520 T(x,T(y \ (z * u),w)) = T(x,T((y \ z) * u,w)). [back_rewrite(408966),rewrite([414237(7),7772(7)]),flip(a)]. 414691 T(x,y \ T(z,u \ 1)) = T(x,y \ T(z,u)). [back_rewrite(129848),rewrite([414237(6),404152(6),58(2)]),flip(a)]. 414853 T(x,T((y \ a(z,u,w)) * v5,v6)) = T(x,T(y \ v5,v6)). [back_rewrite(396127),rewrite([414520(5)])]. 414987 T(x,T((y \ z) \ u,w)) = T(x,T((z \ y) * u,w)). [back_rewrite(61871),rewrite([414520(8)])]. 415031 T(x,y / (z \ u)) = T(x,y * (u \ z)). [back_rewrite(394414),rewrite([414853(7),414987(5),127824(5)]),flip(a)]. 415143 T(x,y * ((z * a(u,w,v5)) \ v6)) = T(x,y * (z \ v6)). [back_rewrite(396082),rewrite([415031(5),415031(8)])]. 415201 T(x,T((L(T(y,z),u,w) * v5) / v6,y)) = T(x,v5 * (v6 \ L(T(y,z),u,w))). [back_rewrite(121363),rewrite([415031(11)])]. 415202 T(x,T((T(y,z) * u) / w,y)) = T(x,u * (w \ T(y,z))). [back_rewrite(121362),rewrite([415031(9)])]. 415216 T(x,y * ((a(z,u,w) * v5) \ v6)) = T(x,y * (v5 \ v6)). [back_rewrite(389824),rewrite([415143(10)])]. 415863 (x * L(y / T(x,K(z,u)),w,v5)) \ (x * (y / T(x,K(z,u)))) = (x * L(x \ y,w,v5)) \ y. [para(411167(a,2),313446(a,2,2)),rewrite([110123(4),73(2),75(2),74(2),178495(9),73(7),75(7),74(7),7726(8),149(7),207(7),28584(7),156355(4),411167(13)]),flip(a)]. 415956 T(x,(L(y,z,u) \ w) * v5) = T(x,(y \ w) * v5). [hyper(5081,a,127165,a(flip),b,408211,a),rewrite([127165(9)]),flip(a)]. 415998 T(x,T(L(y,z,u) \ w,v5)) = T(x,T(y \ w,v5)). [hyper(5083,a,408211,a(flip),b,5698,a),rewrite([5754(6),253(6)]),flip(a)]. 416012 K(x,T(y,z \ u) * (L(z,w,v5) \ u)) = K(x,(L(z,w,v5) \ u) * y). [para(408211(a,1),229(a,1,2,1))]. 416021 T(x,((y \ z) \ u) * w) = T(x,(z \ y) * (u * w)). [para(11892(a,1),408211(a,1,2,1)),rewrite([405411(4),414237(4),405411(8)]),flip(a)]. 416051 T(x,((y * z) \ u) * w) = T(x,(z \ (y \ u)) * w). [para(60487(a,1),408211(a,1,2,1)),rewrite([405411(4),405411(8)])]. 416082 T(x,y * ((y \ z) * u)) = T(x,z * u). [para(7596(a,1),408211(a,2,2)),rewrite([403603(6),415956(6),408328(5)]),flip(a)]. 416087 (L(x,y,z) \ u) * L(L(T(w,x \ u),v5,v6),v7,v8) = L(L(w,v5,v6),v7,v8) * (L(x,y,z) \ u). [para(408211(a,1),147512(a,1,2,1,1))]. 416117 T(x,(R(y,z,u) \ y) * w) = T(x,w). [para(256868(a,1),408211(a,1,2,1)),rewrite([385657(3),405411(5)]),flip(a)]. 416188 T(x,T((L(y,z,u) * w) / v5,v6)) = T(x,T((y * w) / v5,v6)). [back_rewrite(162777),rewrite([415998(8),123080(7)])]. 416358 T(x,y * (z \ L(T(u,w),v5,v6))) = T(x,y * (z \ T(u,w))). [back_rewrite(415201),rewrite([416188(6),415202(5)]),flip(a)]. 416403 T(x,y * (z \ L(u,w,v5))) = T(x,y * (z \ u)). [back_rewrite(99456),rewrite([416358(6),96818(5)]),flip(a)]. 416438 R(x,y * L(z,u,w),x) = R(x,y * z,x). [hyper(295,a,1735,a(flip),b,380545,a),rewrite([405962(7),1735(9)])]. 416467 (x * L(y,z,u)) * T(w,x * y) = w * (x * L(y,z,u)). [para(380545(a,1),410(a,1,2))]. 416469 T(x,y * ((z * u) \ w)) = T(x,y * (u \ (z \ w))). [para(11892(a,1),380545(a,1,2,2))]. 416479 L(x,L(y,z,u),w) * (w * L(y,z,u)) = w * (L(y,z,u) * T(x,w * y)). [para(380545(a,1),11786(a,1,2,2)),flip(a)]. 416493 ((L(x,y,z) * L(x,y,z)) \ u) * L(x,y,z) = T(u,x * x) * (1 / L(x,y,z)). [para(380545(a,1),50481(a,1,1)),rewrite([13654(2),380545(3)]),flip(a)]. 416498 T(x,y * ((z \ u) \ w)) = T(x,y * (u \ (z * w))). [para(60487(a,1),380545(a,1,2,2)),flip(a)]. 416541 T(x,y * (z \ R(z,u,w))) = T(x,y). [para(256868(a,1),380545(a,1,2,2)),rewrite([385118(3)]),flip(a)]. 416594 T(x,y * (z \ (a(u,w,v5) \ v6))) = T(x,y * (z \ v6)). [back_rewrite(415216),rewrite([416469(5)])]. 416628 T(x,y * (z \ (y \ u))) = T(x,T(z,y) \ u). [back_rewrite(390018),rewrite([416469(4)])]. 416806 T(x,R(y \ 1,y,z) \ u) = T(x,y * u). [back_rewrite(389742),rewrite([416498(9),51(8)])]. 416863 T(x,R(y,z,u) * (y \ w)) = T(x,w). [back_rewrite(358472),rewrite([416541(8)])]. 416876 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [back_rewrite(396118),rewrite([416628(5),385459(4)])]. 416917 (x * y) / T(z \ x,z * y) = (z \ x) \ (x * y). [back_rewrite(269720),rewrite([416806(7)])]. 416950 ((x \ R(x,y,z)) * u) * T(w,u) = w * ((x \ R(x,y,z)) * u). [back_rewrite(358333),rewrite([416863(7)])]. 417480 T(x,y \ (z \ (u * w))) = T(x,(y \ (z \ u)) * w). [hyper(295,a,12024,a(flip),b,403603,a),rewrite([416051(8)])]. 417513 T(x,y / (z * (u \ 1))) = T(x,(y * u) / z). [para(194(a,1),403603(a,1,2)),rewrite([115388(4),129861(8)]),flip(a)]. 417517 K(x \ (y \ (z * u)),w) = K(((y * x) \ z) * u,w). [para(403603(a,1),242(a,1,2)),rewrite([36702(7),96175(7),26994(7),6170(6),374290(6),2530(5)]),flip(a)]. 417610 T(x,y \ ((z \ u) \ w)) = T(x,(y \ (u \ z)) * w). [para(99782(a,1),403603(a,1,2,2)),rewrite([100326(10),416498(10),92038(10),417480(8)])]. 417616 T(x,(y \ z) * R(T(u,z),w,v5)) = T(x,(y \ R(u,w,v5)) * z). [para(103017(a,1),403603(a,1,2,2)),rewrite([403603(5),414399(5),380545(10)]),flip(a)]. 417635 T(x,T(y / (z \ u),w)) = T(x,T(y * (u \ z),w)). [para(403603(a,2),121044(a,1,2)),rewrite([403603(5),44940(6),414987(6),411322(6)]),flip(a)]. 417765 T(x,(T(y,z) \ (z \ u)) * w) = T(x,(z \ (y \ u)) * w). [back_rewrite(408290),rewrite([417610(5),417480(9)])]. 417841 T(x,T((y \ z) * u,y)) = T(x,(z * u) / y). [back_rewrite(280185),rewrite([417513(9)])]. 417844 T(x,(T(y,z * u) \ z) * u) = T(x,(z * u) / y). [back_rewrite(129861),rewrite([417513(10)])]. 417863 K(((x * y) \ z) * u,w) = K((y \ (x \ z)) * u,w). [back_rewrite(375120),rewrite([417517(6),372465(6)])]. 418080 T(x,T(y * ((z \ u) \ K(w,v5)),v6)) = T(x,T(y * (u \ (K(w,v5) * z)),v6)). [back_rewrite(364915),rewrite([417635(6),11961(3)]),flip(a)]. 418113 T(x,T(y * (z \ T(u,K(w,v5))),v6)) = T(x,T(y * (z \ u),v6)). [back_rewrite(45388),rewrite([417635(6),417635(10)])]. 418194 K(x \ (y \ (z * u)),w) = K((x \ (y \ z)) * u,w). [back_rewrite(417517),rewrite([417863(8)])]. 418220 K(x * ((y * z) \ u),w) = K(x * (z \ (y \ u)),w). [back_rewrite(368260),rewrite([417863(7),369185(7)]),flip(a)]. 418326 K(x * (y \ (x \ z)),u) = K(T(y,x) \ z,u). [back_rewrite(379675),rewrite([418220(4)])]. 418330 R(x,(y \ z) * u,x) = R(x,z * (y * u),x). [back_rewrite(374529),rewrite([418220(7),108729(8),6775(4),1735(8),372987(3)])]. 418333 T((x \ y) \ ((y \ x) \ 1),z) = (x \ y) \ ((y \ x) \ 1). [back_rewrite(347740),rewrite([418220(10),323(7),345696(9),374647(6),323(3),15(4)])]. 418623 (x * x) * (y * (a(z,u,a(w,v5,v6)) * v7)) = x * ((a(a(w,v5,v6),u,z) / x) \ (y * v7)). [hyper(5083,a,81194,a,b,389070,a),rewrite([81194(8),19409(6),388135(5),389084(6)]),flip(a)]. 418742 a(a(x,y,z),u,w) * (v5 * (v6 \ a(w,u,a(x,y,z)))) = v5 * (v6 \ 1). [para(31701(a,1),389070(a,2,2)),rewrite([32199(9),547(8),12999(7)])]. 418752 K(x,T((y * z) * u,w)) = K(x,T(y * (z * u),w)). [para(389070(a,1),53944(a,1,2,2)),rewrite([408685(6),2045(6),7726(6),7726(5),380295(7),385056(13),7733(12),7733(11),7733(10),388747(10)])]. 418847 K(x,y * (z * (1 / u))) = K(x,(y * z) / u). [back_rewrite(377539),rewrite([418752(6),191304(6),36200(4)]),flip(a)]. 418897 K(x,(T(y,z / u) * z) / u) = K(x,z * (u \ y)). [back_rewrite(381027),rewrite([418847(7)])]. 418992 (x \ (1 / y)) * y = (x \ y) * (y \ 1). [hyper(5081,a,168799,a(flip),b,388689,a),rewrite([340761(13),418742(12)])]. 419012 a(a(x,y,z),u,w) * ((v5 \ 1) \ v6) = (v5 \ a(w,u,a(x,y,z))) \ v6. [para(388689(a,1),21093(a,1,2,1)),rewrite([405411(10),386756(8),7730(9),386889(10),231368(8),68750(7),5536(16)])]. 419040 a(x * (y * (z \ a(a(u,w,v5),v6,v7))),v8,v9) = a((z * y) * x,v8,v9). [para(388689(a,1),130753(a,1,1,2,2,2)),rewrite([113538(5),5536(14),133902(12)])]. 419294 a(L(x,x,L(y,z,u)) * (y * L(y,z,u)),w,a(v5,v6,v7)) = a(y * (x * L(y,z,u)),w,a(v5,v6,v7)). [para(401861(a,1),396221(a,1,1,2)),rewrite([12592(7),395444(7),46976(7),401180(3),395380(5),395444(5)]),flip(a)]. 419302 a(x * (L(y,y,x) * z),u,a(w,v5,v6)) = a(y * (x \ z),u,a(w,v5,v6)). [hyper(5081,a,46633,a(flip),b,396351,a),rewrite([28083(9),131132(11)]),flip(a)]. 419304 a(x * (y \ a(z,u,w)),v5,a(v6,v7,v8)) = a(x * (y * a(z,u,w)),v5,a(v6,v7,v8)). [hyper(295,a,398307,a,b,396351,a),rewrite([395104(7),395380(7),394190(7),398387(10)])]. 419333 a(x * ((x * y) * (z \ x)),u,a(w,v5,v6)) = a(z * (x * y),u,a(w,v5,v6)). [para(26455(a,1),396351(a,1,1,2,2)),rewrite([72092(5),22924(4),396183(10),12650(10),395380(8),396183(8),47273(8),50849(8),23536(9),157344(12),396183(10)])]. 419486 a(x,y * (a(z,u,w) \ v5),v6) = a(x,y * (v5 * a(z,u,w)),v6). [para(135397(a,1),398359(a,1,2)),rewrite([397483(4),394477(8),399105(9),398058(11),398835(11)])]. 419497 a(x,y * L(a(z,u,w),v5,v6),v7) = a(x,y * a(z,u,w),v7). [para(297511(a,2),398359(a,2,2)),rewrite([398359(3),382507(6),399873(8),382507(8),394567(9),12186(10)]),flip(a)]. 419508 a(x,y,a(z,u,u * z)) = a(x,y,a(u,u,z)). [para(251(a,1),398395(a,1,3,3)),rewrite([13983(6),13927(4),13927(8),12463(6)])]. 419770 x \ (a(y,z,u) \ (a(w,v5,v6) \ x)) = a(y,z,u) \ (a(w,v5,v6) \ 1). [hyper(5083,a,400199,a,b,50481,a),rewrite([400179(7),390938(8),385927(6),385118(4),561(2),400179(9),397870(10),413070(8),397751(12),51(7),413100(10)])]. 420026 (L(a(x,y,z),u,w) \ v5) * (a(x,y,z) * a(v6,v7,v8)) = a(v6,v7,v8) * (v5 * a(w,u,a(x,y,z))). [para(118328(a,2),400199(a,1,2)),rewrite([118297(4),400018(6)]),flip(a)]. 420286 ((x \ 1) \ 1) \ a(y,z,u) = a(y,z,u) / x. [para(340(a,1),403185(a,1,2)),rewrite([71337(6)]),flip(a)]. 420287 a(x,y,z) / (1 / u) = (u \ 1) \ a(x,y,z). [para(403185(a,1),412(a,1,1)),rewrite([413914(7)])]. 420356 ((x \ 1) \ a(y,z,u)) * K(w,v5) = a(y,z,u) / (K(v5,w) / x). [para(403185(a,2),120119(a,2,1,1)),rewrite([43754(6),193507(6),75459(8),75559(7),414095(7),403185(8),23218(11),413914(11),420287(8)]),flip(a)]. 420371 (x * x) * (a(y,z,u) / x) = (1 / x) \ a(y,z,u). [para(403185(a,1),108686(a,1,2,1,2)),rewrite([95642(9),64714(5),394659(7),399977(6),67715(6),547(6),403185(8)])]. 420428 (1 / x) \ (a(y,z,u) / x) = x \ ((1 / x) \ a(y,z,u)). [para(403185(a,2),354827(a,1,2)),rewrite([340(4),403185(4),71337(11),420286(13)]),flip(a)]. 420443 T((1 / x) \ a(y,z,u),x \ 1) = (x \ 1) \ a(y,z,u). [back_rewrite(413914),rewrite([420287(11)])]. 420453 L(a(x,y,z) \ 1,u,w) \ a(v5,v6,a(x,y,z)) = L(L(a(x,y,z) \ 1,u,w),v6,v5) \ 1. [hyper(7088,a,355091,a,b,400701,a),rewrite([398969(7),408211(14),6743(12),561(9),398969(25),354134(25),354827(26),294925(17),269343(25),306590(21),304101(19),324(16),48(16),382653(15),5530(14),388135(15),49(15)]),flip(a)]. 420459 L(a(x,y,z) \ 1,u,w) \ a(a(x,y,z),v5,v6) = R(L(a(x,y,z) \ 1,u,w) \ 1,v5,v6). [hyper(7088,a,173697,a,b,400701,a),rewrite([294925(6),408211(14),6743(12),561(9),173697(27),294925(23),354827(26),294925(17),272488(25),324(22),63(21),398795(20),48(22),305594(21),304101(19),324(16),48(16),382653(15),5530(14)]),flip(a)]. 420473 L(L(a(x,y,z) \ 1,u,w),a(v5,v6,v7),v8) = L(a(x,y,z) \ 1,u,w). [hyper(7088,a,386956,a(flip),b,400701,a),rewrite([408211(13),6743(11),561(8),396598(18),396643(17),48(15),397055(15),71522(14),6743(11)])]. 420475 (L(a(x,y,z) \ 1,u,w) \ 1) * v5 = L(a(x,y,z) \ 1,u,w) \ v5. [hyper(7088,a,138006,a(flip),b,400701,a),rewrite([60(5),293938(4),408211(14),6743(12),561(9),60(22),293938(21),68847(24),71522(15),6743(12)])]. 420478 (L(a(x,y,z) \ 1,u,w) \ 1) \ v5 = v5 * L(a(x,y,z) \ 1,u,w). [hyper(7088,a,53814,a(flip),b,400701,a),rewrite([293938(4),408211(12),6743(10),561(7),384632(15),15(13),49(13),385657(15),408(13)]),flip(a)]. 420507 x \ (L(a(y,z,u) \ 1,w,v5) \ x) = L(a(y,z,u) \ 1,w,v5) \ 1. [hyper(5306,a,400701,a)]. 420508 x / (L(a(y,z,u) \ 1,w,v5) \ 1) = x * L(a(y,z,u) \ 1,w,v5). [hyper(5142,a,354827,a,b,400701,a),rewrite([354827(12),294925(10),420478(11),58(10),6174(5),385657(4),408(2),294925(13),420478(14)])]. 420524 L(L(a(x,y,z) \ 1,u,w),v5,v6) * v7 = v7 * L(L(a(x,y,z) \ 1,v5,v6),u,w). [hyper(5142,a,62852,a(flip),b,400701,a),rewrite([63(5),398795(4),420508(18),401209(16),51(10),63(11),398795(10)]),flip(a)]. 420549 (x * (a(y,z,u) \ w)) \ (x * w) = L(a(y,z,u) \ 1,w,x) \ 1. [hyper(5083,a,11664,a(flip),b,400701,a),rewrite([397148(4),385657(8),408(6)])]. 420553 R(L(a(x,y,z) \ 1,u,w) \ 1,v5,v6) = L(L(a(x,y,z) \ 1,u,w) \ 1,v5,v6). [hyper(5083,a,400701,a,b,69933,a),rewrite([400701(16),305327(14),304101(12),324(9),48(9),382653(8),5530(7),420459(7)])]. 420563 (x * (L(a(y,z,u) \ 1,w,v5) \ v6)) / T(x,v6) = L(a(y,z,u) \ 1,w,v5) \ v6. [hyper(5081,a,706,a,b,400701,a),rewrite([408211(12),397087(10),385118(9),400701(15)])]. 420611 T(L(a(x,y,z) \ 1,u,w) \ 1,v5) = L(a(x,y,z) \ 1,u,w) \ 1. [hyper(295,a,168,a(flip),b,400701,a),rewrite([378475(18),6743(16),11(13)])]. 420738 L(a(x,y,z) \ 1,u,w) \ T(v5,v6) = T(L(a(x,y,z) \ 1,u,w) \ v5,v6). [para(400701(a,2),263(a,1,1)),rewrite([400701(7),294925(10),378475(11),397087(9),384540(8),95539(7),6174(16),385657(15),408(13)])]. 420764 L(x,L(a(y,z,u),w,v5) \ v6,v7) = L(x,L(a(y,z,u),w,v5) * v6,v7). [para(400701(a,1),25672(a,1,2,2)),rewrite([192640(8),158172(6),400701(11),277310(10)]),flip(a)]. 420789 a(L(a(x,y,z),u,w) \ v5,v6,v7) = a(v5 * L(a(x,y,z),u,w),v6,v7). [para(400701(a,2),46633(a,1,1,1)),rewrite([400701(8),420475(7),70583(6),158137(10)])]. 420803 a(x * (L(a(y,z,u),w,v5) \ v6),v7,v8) = a(x * (L(a(y,z,u),w,v5) * v6),v7,v8). [para(400701(a,2),68916(a,1,1,2,1)),rewrite([400701(8),420478(7),131132(7),277350(12)]),flip(a)]. 420805 a((L(a(x,y,z) \ 1,u,w) \ v5) \ v6,v7,v8) = a((v5 * L(a(x,y,z) \ 1,u,w)) \ v6,v7,v8). [para(400701(a,2),69472(a,1,1,1,1)),rewrite([400701(8),420478(7)]),flip(a)]. 420808 a(x,y,L(a(z,u,w),v5,v6) \ v7) = a(x,y,L(a(z,u,w),v5,v6) * v7). [para(400701(a,2),72848(a,1,3,1)),rewrite([400701(8),420475(7),277309(6),158247(10)])]. 420815 L(x,y,L(a(z,u,w),v5,v6) \ v7) = L(x,y,a(z,u,w) * v7). [para(400701(a,2),83104(a,1,3,1)),rewrite([400701(8),420475(7),277391(6),158259(10),397382(8)])]. 420818 L(a(x,x,y) \ 1,z,u) \ w = w * a(x,x,L(y,z,u)). [para(26307(a,2),400701(a,1,2,1,1,1)),rewrite([26307(2),308657(6)]),flip(a)]. 420841 a((x * y) * L(a(z,u,w),v5,v6),v7,v8) = a(y * (L(a(z,u,w),v5,v6) * x),v7,v8). [para(400701(a,1),24885(a,1,1,2)),rewrite([26414(7),83591(5),339196(3),277350(9),420803(7),394190(7),420475(13),70583(12),420789(10)]),flip(a)]. 420844 a(x \ (L(a(y,z,u) \ 1,w,v5) \ v6),v7,v8) = a(x \ (v6 * L(a(y,z,u) \ 1,w,v5)),v7,v8). [para(400701(a,2),96575(a,1,1,2,1)),rewrite([400701(8),420478(7)]),flip(a)]. 420887 R(x,y,L(a(z,u,w),v5,v6) \ v7) = R(x,y,L(a(z,u,w),v5,v6) * v7). [para(400701(a,2),217015(a,1,3,1)),rewrite([400701(8),420475(7),277477(6),217322(10)])]. 420921 x * L(L(a(y,z,u) \ 1,w,v5) \ 1,v6,v7) = L(L(a(y,z,u),v6,v7) \ 1,w,v5) \ x. [para(400701(a,2),307607(a,1,1)),rewrite([400701(12),305327(10),304101(8),324(5),48(5),382653(4),5530(3),388668(8),388653(4),420507(12)]),flip(a)]. 420938 L(a(x,y,z),a(x,y,z) * u,w) = L(a(x,y,z) \ 1,u,w) \ 1. [back_rewrite(394548),rewrite([420549(9)])]. 420939 L(a(x,y,z) \ 1,u,w) \ a(a(x,y,z),v5,v6) = L(L(a(x,y,z) \ 1,u,w) \ 1,v5,v6). [back_rewrite(420459),rewrite([420553(14)])]. 420971 L(a(x,y,z) \ 1,u,a(x,y,z) * u) \ 1 = (1 / (a(x,y,z) \ u)) * u. [back_rewrite(394531),rewrite([420938(6)])]. 420975 (a(x,y,z) \ (u / w)) * w = w * (a(x,y,z) \ (w \ u)). [back_rewrite(394511),rewrite([420938(5),420478(8),24263(6),397148(5)]),flip(a)]. 420979 T(x,y) \ T(L(a(z,u,w) \ 1,v5,v6) \ x,y) = L(a(z,u,w) \ 1,v5,v6) \ 1. [hyper(7088,a,95539,a,b,420475,a),rewrite([420611(8),95539(14),420738(13)]),flip(a)]. 421015 L(a(x,y,z) \ 1,u,w) \ (v5 * a(v6,v7,v8)) = a(v6,v7,v8) * (L(a(x,y,z) \ 1,u,w) \ v5). [hyper(295,a,15015,a,b,420475,a),rewrite([26414(8),83591(6),339196(4),394423(3),420475(8)]),flip(a)]. 421048 (L(a(x,y,z) \ 1,u,w) \ (v5 * v6)) / (L(a(x,y,z) \ 1,u,w) \ v6) = L(v5,v6,a(x,y,z)). [hyper(5142,a,420475,a(flip),b,11786,a(flip)),rewrite([420475(11),408211(10),397087(8),385118(7),410(6),420475(13),26414(19),83591(17),339196(15)])]. 421103 x / (L(a(y,z,u) \ 1,w,v5) \ K(v6,v7)) = x * L(a(y,z,u) \ K(v7,v6),w,v5). [para(420475(a,1),178504(a,1,1,2)),rewrite([408211(14),6743(12),561(9),420478(14),7726(14),26653(13),31850(12)])]. 421109 R(x,y,L(a(z,u,w),v5,v6)) = L(x,y,a(z,u,w)). [para(420475(a,1),212781(a,1,2)),rewrite([400701(8),421048(12),378054(9),6743(7),70(4),49(4),206104(9),217672(7)]),flip(a)]. 421122 L(L(a(x,y,z) \ 1,u,w) \ 1,v5,v6) * v7 = L(L(a(x,y,z),v5,v6) \ 1,u,w) \ v7. [para(420475(a,1),349543(a,1,2)),rewrite([304101(14),324(11),48(11),305327(10),304101(8),324(5),48(5),382653(4),5530(3),388668(8),388653(4),304101(26),324(23),48(23),305327(22),304101(20),324(17),48(17),382653(16),5530(15),134873(16),420939(13)]),flip(a)]. 421126 a(x * (y \ L(a(z,u,w),v5,v6)),v7,a(v8,v9,v10)) = a(x * (L(a(z,u,w),v5,v6) * y),v7,a(v8,v9,v10)). [para(420475(a,1),396351(a,1,1)),rewrite([26414(11),83591(9),339196(7),395104(10),70574(10),395380(8),394190(8),420478(13),131132(14)])]. 421127 a(x * (L(a(y,z,u),w,v5) * v6),v7,a(v8,v9,v10)) = a(a(y,z,u) * (v6 \ x),v7,a(v8,v9,v10)). [para(420475(a,1),419302(a,1,1)),rewrite([26414(11),83591(9),339196(7),395104(10),70574(10),395380(8),421126(8),403909(5),12592(8),421126(8),47239(8),395380(6),400130(6),420478(12),131132(13)]),flip(a)]. 421144 R(x,y,z * (a(u,w,v5) \ z)) = L(x,y,a(u,w,v5)). [back_rewrite(399234),rewrite([421109(7)])]. 421155 a(x * (y \ L(a(z,u,w),v5,v6)),v7,a(v8,v9,v10)) = a(a(z,u,w) * (y \ x),v7,a(v8,v9,v10)). [back_rewrite(421126),rewrite([421127(12)])]. 421274 a(x,y,a(z,u,w)) * (v5 * a(z,u,w)) = L(a(z,u,w) \ 1,y,x) \ v5. [para(118328(a,2),420563(a,1,1)),rewrite([294925(5),397148(9),400009(7),293938(7),397417(7),394568(5)])]. 421292 (T(x,y) * (L(a(z,u,w) \ 1,v5,v6) \ v7)) / T(x,v7) = L(a(z,u,w) \ K(y,x),v5,v6) \ v7. [para(420563(a,1),231372(a,1,2)),rewrite([158138(7)]),flip(a)]. 421324 L(L(a(x,y,z),u,w) \ 1,v5,v6) \ 1 = L(L(a(x,y,z) \ 1,v5,v6) \ 1,u,w). [para(339104(a,2),420563(a,1,1)),rewrite([70580(12),383775(10),338675(10),420939(9),420921(10),70580(15),383775(13),561(13),6706(11),386756(11),338675(11),388171(11),70580(16),383775(14),420939(14)])]. 421336 L(a(x,y,z) \ 1,u,w) \ u = w \ ((w * u) * a(x,y,z)). [back_rewrite(9295),rewrite([421274(9)]),flip(a)]. 421338 (1 / (a(x,y,z) * u)) * (a(x,y,z) * (u * a(x,y,z))) = (1 / (a(x,y,z) \ u)) * u. [hyper(295,a,22934,a,b,420938,a),rewrite([394565(8),420971(17)])]. 421350 L(a(x,y,z),u * a(x,y,z),w) = L(a(x,y,z) \ 1,u,w) \ 1. [para(235(a,2),420938(a,1,2)),rewrite([381153(6),7726(5),385616(6)])]. 421396 (x * a(y,z,u)) \ (L(a(y,z,u) \ 1,w,v5) \ x) = a(v5,w,a(y,z,u)). [para(420938(a,1),304426(a,1,2,2)),rewrite([400701(9),420938(12),420475(17),354781(15),397087(15),400018(13),50(12)])]. 421407 L(a(x,y,z),L(a(x,y,z),u,w),v5) = a(x,y,z). [para(339095(a,2),420938(a,1,2)),rewrite([6706(4),397087(7),383870(5),5533(10),6743(9)])]. 421412 L(a(x,y,z),u,w) * L(a(x,y,z) \ 1,v5,v6) = a(a(x,y,z),v5,v6) * a(a(x,y,z),u,w). [para(420938(a,1),344103(a,1,2,1)),rewrite([382653(4),310984(10),6706(6),69933(8),382653(6),420938(9),350313(14),6706(10)]),flip(a)]. 421413 a(x,y,a(z,u,w)) * (a(z,u,w) * v5) = L(a(z,u,w) \ 1,y,x) \ v5. [para(420938(a,1),349543(a,1,1,2)),rewrite([277541(8),118297(5),159097(6),388661(4),420938(11),277541(14),118297(11),159097(12),388661(10),400007(10)])]. 421415 a(x,y,z) * (a(u,w,a(x,y,z)) * v5) = L(a(x,y,z) \ 1,w,u) \ v5. [para(420938(a,1),350548(a,1,1,2)),rewrite([277541(8),118297(5),159097(6),388661(4),547(4),421413(5),547(9),420938(11),277541(14),118297(11),159097(12),388661(10)]),flip(a)]. 421519 a(x * L(a(y,z,u),w,v5),v6,a(v7,v8,v9)) = a(a(y,z,u) * x,v6,a(v7,v8,v9)). [para(420979(a,1),395380(a,2,1,2)),rewrite([12539(11),277350(10),420803(8),421127(8),8951(4),12546(6),400701(11),395104(11),70574(11)]),flip(a)]. 422012 (x * L(y,z,u)) / L(w * (y / w),z,u) = x * K(w \ y,w). [para(379409(a,1),210712(a,1,2)),rewrite([53(3),2399(9),377063(9)])]. 422195 L(x,y,z) * L(L(x,y,z) \ T(x,u),w,v5) = T(L(x,y,z) * L(L(x,y,z) \ x,w,v5),u). [hyper(5083,a,382773,a,b,49057,a),rewrite([382773(8),5754(7),303506(7),384071(12)])]. 422199 L(L(x,y,z) \ L(x \ L(x,y,z),u,w),x,x) = L(1 / x,y,z) * L(L(x,y,z) \ x,u,w). [hyper(295,a,76184,a,b,382773,a),rewrite([214420(5),48(5),304580(12),324(9),48(9),192738(10),26402(11),26414(11),68101(10),28098(9),99134(10),66975(11),190177(11),189588(7),306668(15),354781(15),269343(15)])]. 422200 (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) * x = L(x,y,z) * L(L(x,y,z) \ x,u,w). [hyper(295,a,410,a,b,382773,a),rewrite([416403(13),354134(10),323(9),51(9),408(8)])]. 422207 L(T(x,y),z,u) \ T(L(x,z,u) * L(L(x,z,u) \ x,w,v5),y) = L(L(x,z,u) \ x,w,v5). [hyper(5083,a,7763,a,b,382773,a(flip)),rewrite([64035(10),118476(11),382773(10),303506(9),422195(8),96716(13)])]. 422213 L(1 / x,y,z) * L(L(x,y,z) \ x,u,w) = L(x,y,z) * L(x \ (1 / L(x,y,z)),u,w). [para(382773(a,1),7336(a,1,1)),rewrite([381611(12),354134(10),323(9),112412(9),49(8),154725(8),147411(7),154894(6),74469(5),184866(4),71320(4),354772(5),422199(13)]),flip(a)]. 422214 (x * x) * (L(x,y,z) * L(x \ (1 / L(x,y,z)),u,w)) = L(x,y,z) * L(L(x,y,z) \ x,u,w). [para(382773(a,1),380(a,2)),rewrite([422199(7),422213(8)])]. 422229 L(x,L(y \ L(y,z,u),w,v5),v6) = L(x,L(y * L(y,z,u),w,v5),v6). [para(382773(a,2),25754(a,1,2,2)),rewrite([382773(8),25976(7),51(5),13654(2),76136(10),118328(8),159097(8),305791(8)]),flip(a)]. 422231 L(x,y,L(z \ L(z,u,w),v5,v6)) = L(x,y,L(z * L(z,u,w),v5,v6)). [para(382773(a,2),85526(a,1,3,1)),rewrite([382773(7),214425(7),76136(10),118328(8),159097(8),305798(8)]),flip(a)]. 422246 R(x,y,L(L(z,u,w) \ z,v5,v6)) = R(x,y,L(z * L(z,u,w),v5,v6)). [para(382773(a,2),217262(a,1,3,2)),rewrite([382773(8),25976(7),51(5),13654(2),76136(10),118328(8),159097(8)]),flip(a)]. 422274 L(x,R(y,z,u) * L(R(y,z,u),w,v5),v6) = L(x,L(y * L(y,w,v5),z,u),v6). [back_rewrite(306027),rewrite([422229(9)])]. 422279 L(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) = L(x,L(y * L(y,w,v5),z,u),v6). [back_rewrite(305885),rewrite([422229(9)])]. 422280 L(x,L(L(y,z,u) \ y,w,v5),v6) = L(x,L(y * L(y,z,u),w,v5),v6). [back_rewrite(305791),rewrite([422229(8)])]. 422288 L(x,y,R(z,u,w) * L(R(z,u,w),v5,v6)) = L(x,y,L(z * L(z,v5,v6),u,w)). [back_rewrite(308002),rewrite([422231(9)])]. 422289 L(L(x \ L(x,y,z),u,w) \ 1,v5,L(x * L(x,y,z),u,w)) = L(x \ L(x,y,z),u,w) \ 1. [back_rewrite(307125),rewrite([422231(9)])]. 422291 L(x,y,L(L(z,u,w) \ z,v5,v6)) = L(x,y,L(z * L(z,u,w),v5,v6)). [back_rewrite(305798),rewrite([422231(8)])]. 422294 L(x,y,L(z,u,w) * L(L(K(v5,v6) * z,u,w),v7,v8)) = L(x,y,L(z * L(z,v7,v8),u,w)). [back_rewrite(305704),rewrite([422231(11)])]. 422299 L(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)) = L(x,y,L(z * L(z,v5,v6),u,w)). [back_rewrite(305652),rewrite([422231(9)])]. 422300 L(x,y,L(z * L(z \ K(u,w),v5,v6),v7,v8)) = L(x,y,L(z * L(z,v5,v6),v7,v8)). [back_rewrite(144404),rewrite([422231(10)])]. 422658 x / (L(a(y,z,u),w,v5) \ 1) = x * L(a(y,z,u),w,v5). [para(15157(a,2),403476(a,1,2,1,2)),rewrite([15157(6),421407(4)]),flip(a)]. 423113 L(x * y,z,u) / y = y * L(y \ x,z,u). [para(52(a,1),410893(a,1,2,1,2)),flip(a)]. 423128 K(x,y * (L(z,u,w) / v5)) = K(x,y * (z / v5)). [para(410893(a,1),260(a,2,2,2)),rewrite([26653(6),378214(9),10522(6),232(6)]),flip(a)]. 423138 L(x,y,z) / T(u,u \ x) = u \ L(x,y,z). [para(2244(a,1),410893(a,1,2,1,2)),rewrite([194(6),28670(7),28563(4)]),flip(a)]. 423145 L(x * a(y,z,u),w,v5) / x = x * L(x \ a(y,z,u),w,v5). [para(531(a,1),410893(a,1,2,1,2)),flip(a)]. 423152 T(x,y * (L(z,u,w) \ v5)) = T(x,y * (z \ v5)). [para(410893(a,1),12024(a,1,2,1)),rewrite([389410(4),408211(10),405411(9),408316(9),389410(7)])]. 423165 L(x,y,z) / (u \ x) = (x / u) \ L(x,y,z). [para(337(a,1),410893(a,1,2,1,2)),rewrite([148978(5)]),flip(a)]. 423174 x * L(x \ ((y * y) \ (z / x)),u,w) = (y * y) \ (L(z,u,w) / x). [para(410893(a,1),22473(a,1,2)),rewrite([131730(10)]),flip(a)]. 423407 L((x * x) \ y,z,u) / w = (x * x) \ (L(y,z,u) / w). [para(25944(a,2),410893(a,2,1)),rewrite([231306(3),423174(6),25944(7)]),flip(a)]. 423447 L(x,y,z) * L(x \ (1 / L(x,y,z)),u,w) = L(x \ L(x,y,z),u,w) / L(x,y,z). [para(64063(a,1),410893(a,1,2,1,2)),rewrite([354772(5)])]. 423477 L(a(x,y,z),u,w) / (v5 \ 1) = (1 / v5) \ L(a(x,y,z),u,w). [para(403185(a,1),410893(a,1,2,1,2)),rewrite([148864(11)]),flip(a)]. 423491 K(x,(y * z) / u) = K(x,y * (z / u)). [back_rewrite(123354),rewrite([423128(4)]),flip(a)]. 423544 (x * x) * (L(x \ L(x,y,z),u,w) / L(x,y,z)) = L(x,y,z) * L(L(x,y,z) \ x,u,w). [back_rewrite(422214),rewrite([423447(8)])]. 423582 K(x,(y / z) * u) = K(x,y * (z \ u)). [back_rewrite(418897),rewrite([423491(5),229(5)])]. 423944 K(x,y * (z * (y \ u))) = K(x,T(z,y) * u). [back_rewrite(183787),rewrite([423582(4),377524(4)])]. 424218 K(x,y * (z \ L(u,w,v5))) = K(x,y * (z \ u)). [hyper(295,a,376813,a(flip),b,423582,a),rewrite([423582(3)]),flip(a)]. 424242 T(x,(y / z) * u) = T(x,y * (z \ u)). [para(423582(a,1),149(a,1,2)),rewrite([149(4)]),flip(a)]. 424250 T(x,T((y / z) * u,w)) = T(x,T(y * (z \ u),w)). [para(423582(a,1),186(a,1,2,2)),rewrite([7726(6),424242(7),41109(5),7772(7)]),flip(a)]. 424275 K(x,y * (z \ R(u,w,v5))) = K(x,y * (z \ u)). [para(5593(a,2),423582(a,1,2)),rewrite([5593(6),288590(4),423582(3)]),flip(a)]. 424296 K(x,y * (L(z,u,w) \ v5)) = K(x,y * (z \ v5)). [para(25021(a,2),423582(a,2,2,2)),rewrite([408684(7),423582(7),380561(7),50(4),380561(5),50(2),25021(8),380561(10),380561(10),380564(10)]),flip(a)]. 424299 K((x / y) * z,u) * w = K(x * (y \ z),u) * w. [para(423582(a,1),30215(a,1,2,1,1)),rewrite([30215(7)]),flip(a)]. 424414 K(x,y * ((z / u) * w)) = K(x,y * (z * (u \ w))). [para(230094(a,1),423582(a,1,2,1)),rewrite([377524(4),424296(10),377524(8)])]. 424848 T(x,T(y * ((z * u) \ u),w)) = T(x,T(y * (u \ (z \ u)),w)). [back_rewrite(391841),rewrite([424250(5),424250(5),424250(10)]),flip(a)]. 424873 T(x,(y * z) / u) = T(x,y * (z / u)). [back_rewrite(231627),rewrite([424250(5),40430(5),417841(4)])]. 424979 K(x,(L(y,z,u) \ w) * v5) = K(x,(y \ w) * v5). [back_rewrite(416012),rewrite([424296(6),229(5)]),flip(a)]. 425274 T(x,(T(y,z * u) \ z) * u) = T(x,z * (u / y)). [back_rewrite(417844),rewrite([424873(8)])]. 425307 T(x,y * (a(z,u,w) / v5)) = T(x,y / v5). [back_rewrite(388622),rewrite([424873(4)])]. 425427 T(x,T(y / ((z \ u) * z),z)) = T(x,z * ((y / z) / u)). [back_rewrite(128384),rewrite([424873(9)])]. 425555 T(x,y * ((z \ L(u,w,v5)) * K(v6,y * (z \ u)))) = T(x,T(y * (z \ L(u,w,v5)),v6)). [para(424218(a,1),186(a,1,2,2)),rewrite([7726(7)])]. 425564 K(x,y * (z * (u \ L(w,v5,v6)))) = K(x,y * (z * (u \ w))). [para(8319(a,1),424218(a,1,2)),rewrite([408684(8),381153(8),8319(11),408684(12),381153(12)])]. 426053 (x \ a(y,z,u)) \ a(y,z,u) = (x \ 1) \ 1. [para(337(a,1),413529(a,1,1,1)),flip(a)]. 426083 ((a(x,y,z) / u) \ 1) \ a(a(w,v5,v6),v7,v8) = a(a(w,v5,v6),v7,v8) * (u \ a(x,y,z)). [para(413529(a,1),112586(a,2,2)),rewrite([49(8)])]. 426086 T(x,y \ (a(z,u,w) / v5)) = T(x,y \ (v5 \ 1)). [para(413529(a,1),121349(a,1,2,1)),rewrite([121349(4),122755(12),405411(12),324(8),123794(10),35837(8),386655(8),12024(8)])]. 426134 a(x,y,z) / (u \ a(w,v5,v6)) = (a(w,v5,v6) / u) \ a(x,y,z). [para(413529(a,1),403185(a,1,2)),rewrite([337(10)])]. 426167 a(a(x,y,z) * u,w,a(x,y,z) * u) = a(u,w,u). [hyper(5081,a,399228,a(flip),b,11972,a),rewrite([398396(5),397513(10),385657(14),374080(13),407924(10),170043(9),397513(11),83407(12),394477(12),5525(12)])]. 426643 L(a(x,x,L(y,z,u)),z,u) = a(x,x,y). [hyper(5081,a,26307,a,b,407301,a),rewrite([26307(2),6706(3),397154(6),389268(8),50(5),17022(6),389275(5),420818(7),48(5)]),flip(a)]. 426665 (L(x,y,z) * (x \ L(x,y,z))) \ 1 = L(x,y,z) \ (L(x,y,z) \ x). [hyper(5142,a,407301,a(flip),b,62166,a),rewrite([159135(4),188068(6),350965(8)]),flip(a)]. 426711 ((x / y) * L(y,z,u)) * L(y,w,v5) = L(y,z,u) * (y \ (x * L(y,w,v5))). [para(407301(a,1),24474(a,1,2,1)),rewrite([303536(16),6174(10),96793(10),160072(11),158680(10)])]. 426797 (x * L(y,z,u)) \ (((x / y) * L(y,z,u)) * (y * w)) = L(w,y,(y \ x) * L(y,z,u)). [para(407301(a,1),381(a,1,2,2,1)),rewrite([407301(14),84993(12)])]. 426859 K(x,y) * (L(x,z,u) \ (y * L(x,w,v5))) = L(x,z,u) \ (L(x,w,v5) * y). [para(407301(a,1),162923(a,1,1)),rewrite([407301(6),354722(5),51(6),315898(10),27446(10)]),flip(a)]. 426886 1 / (x * (L(x,y,z) * L(1 / x,y,z))) = L(x,y,z) \ (L(x,y,z) \ x). [back_rewrite(351093),rewrite([426665(14)])]. 427448 T(x,y \ 1) \ T(x * L(y,z,u),y \ (y \ 1)) = L(T(y,y \ (y \ x)),z,u). [hyper(7088,a,406330,a(flip),b,69321,a),rewrite([414691(9),12024(7),408210(7),354134(5),408210(6),60(5),74065(4),23536(16),73135(15),408210(15),354134(13),408210(14)]),flip(a)]. 427463 (x * (L(x,y,z) \ u)) * T(w,u) = w * (x * (L(x,y,z) \ u)). [para(50(a,1),406330(a,1,2,2)),rewrite([162681(3),162681(8)])]. 427699 (L(L(x,y,z) \ x,u,w) \ v5) * T(v6,v5) = v6 * (L(L(x,y,z) \ x,u,w) \ v5). [para(91470(a,2),406330(a,1,2,2)),rewrite([91470(7),405411(8),414399(8),323(5),48(6)])]. 427798 (L(x,y,z) \ u) * (w \ L(w,v5,v6)) = (w \ L(w,v5,v6)) * (L(x,y,z) \ u). [para(292972(a,1),406330(a,1,2))]. 427806 (L(L(x,y,z) \ x,u,w) \ 1) * v5 = v5 * (L(L(x,y,z) \ x,u,w) \ 1). [para(304759(a,1),406330(a,1,2,2)),rewrite([381611(8),323(6),408(7)])]. 427849 (L(R(x,y,z) \ x,u,w) \ 1) * v5 = v5 * (L(R(x,y,z) \ x,u,w) \ 1). [para(358097(a,1),406330(a,1,2,2)),rewrite([287528(8),323(6),408(7)])]. 427858 K(x * (L(y,z,u) \ w),v5) = K(x * (y \ w),v5). [para(406330(a,2),92476(a,2,1)),rewrite([378476(6),92476(5),406330(8)]),flip(a)]. 427861 K((L(x,y,z) \ u) * w,v5) = K((x \ u) * w,v5). [para(406330(a,2),2499(a,1,1)),rewrite([408211(5),406330(7),427858(6),2499(5)]),flip(a)]. 427882 (L(L(a(x,y,z) \ 1,u,w),v5,v6) \ 1) * v7 = v7 * (L(L(a(x,y,z) \ 1,u,w),v5,v6) \ 1). [para(420938(a,2),406330(a,1,2,2)),rewrite([420938(11),408211(14),6743(12),561(9)])]. 427897 T(x,y) * (L(x,z,u) \ (y * x)) = x * (x * (L(x,z,u) \ y)). [back_rewrite(380042),rewrite([427463(5)]),flip(a)]. 427928 (x * y) \ (y * (L(y,z,u) \ (x * y))) = (y * x) \ (y * (y * (L(y,z,u) \ x))). [back_rewrite(318867),rewrite([427897(5),314002(6)]),flip(a)]. 427930 T(L(L(x,y,z) \ x,u,w) \ 1,v5) = L(L(x,y,z) \ x,u,w) \ 1. [hyper(18642,a,427806,a),rewrite([50(13)])]. 428012 x / (L(L(y,z,u) \ y,w,v5) \ 1) = (L(L(y,z,u) \ y,w,v5) \ 1) \ x. [hyper(5083,a,118801,a(flip),b,427806,a),rewrite([427930(16),427930(16),51(17),427930(12),427930(12)]),flip(a)]. 428115 R(x,y,L(z * L(z,u,w),v5,v6)) = L(x,y,L(z * L(z,u,w),v5,v6)). [hyper(5142,a,427806,a(flip),b,11786,a(flip)),rewrite([92038(7),408211(5),405411(4),414399(4),323(1),48(2),410(2),212781(14),378054(6),304759(4),378715(3),323(1),319(2),49(2),206104(6),422246(4),26414(10),422291(8)])]. 428281 R(x,y,L(L(z,u,w) \ z,v5,v6)) = L(x,y,L(z * L(z,u,w),v5,v6)). [back_rewrite(422246),rewrite([428115(8)])]. 428327 T(a(x,y,z) * (u / w),w) = (w \ u) * a(x,y,z). [hyper(18642,a,385515,a),rewrite([50(9)])]. 428346 x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y). [hyper(7088,a,7750,a,b,385515,a),rewrite([89267(4),51(5),70964(6)])]. 428354 (a(x,y,z) * u) * L(a(w,v5,v6) \ 1,v7,v8) = a(x,y,z) * (u * L(a(w,v5,v6) \ 1,v7,v8)). [hyper(7088,a,420475,a(flip),b,385515,a),rewrite([420508(8),408211(14),6743(12),561(9),420478(24),421015(25),58(24),6174(19),385657(18),408(16),420478(16)]),flip(a)]. 428355 a(x,y,z) \ (u * (a(w,v5,v6) \ a(v7,v8,v9))) = a(v7,v8,v9) * (a(x,y,z) \ (a(w,v5,v6) \ u)). [hyper(7088,a,400179,a(flip),b,385515,a),rewrite([413100(5),385118(10),561(8),413070(15),400742(17),400409(18),394703(15),413070(12),400789(11)]),flip(a)]. 428393 (x * ((x \ y) * a(z,u,w))) / x = a(z,u,w) * (y / x). [hyper(5358,a,385515,a)]. 428410 x / (a(y,z,y) \ u) = a(y,z,y) * (x / u). [hyper(5142,a,7750,a,b,385515,a),rewrite([51(2),179793(3)])]. 428411 x / (y * a(z,a(u,w,v5),v6)) = a(v6,a(u,w,v5),z) * (x / y). [hyper(5142,a,7734,a,b,385515,a),rewrite([51(2),388402(4)])]. 428586 a(x * ((x \ y) * a(z,u,w)),v5,v6) = a(a(z,u,w) * y,v5,v6). [para(385515(a,2),12550(a,1,1)),rewrite([385515(4),46528(10),47269(10)])]. 428708 a(x * ((a(y,z,u) \ w) * v5),v6,v7) = a(x * ((w * a(y,z,u)) * v5),v6,v7). [para(385515(a,2),130748(a,1,1,2,1)),rewrite([6706(3),51(4),400178(10)]),flip(a)]. 428744 (a(x,y,z) * u) * (L(u,w,v5) \ 1) = u * ((L(u,w,v5) \ 1) * a(x,y,z)). [para(165661(a,1),385515(a,2,2,1)),rewrite([407317(4),323(2),401741(6)])]. 428921 ((1 / (a(x,y,x) * z)) \ (z \ L(a(x,y,x) \ z,u,w))) * a(x,y,x) = L(a(x,y,x) * z,u,w). [back_rewrite(197677),rewrite([428346(10),398342(10),428346(11)])]. 428928 (a(x,y,x) \ z) \ u = (z \ u) * a(x,y,x). [back_rewrite(89226),rewrite([428346(6)])]. 428935 (x * a(y,z,y)) / u = a(y,z,y) * (x / u). [back_rewrite(179793),rewrite([428410(6)])]. 428945 (x * (y * a(z,a(u,w,v5),v6))) / v7 = a(z,a(u,w,v5),v6) * ((x * y) / v7). [back_rewrite(388404),rewrite([428411(10)])]. 429131 (a(x,y,z) * u) \ ((a(x,y,z) \ u) * w) = a(x,y,z) \ (a(x,y,z) \ w). [hyper(5083,a,398206,a,b,112220,a),rewrite([58(7),561(5),547(8)])]. 429172 x * ((x * a(y,z,u)) \ a(y,z,u)) = a(x,x,a(y,z,u)). [hyper(295,a,345579,a,b,398206,a),rewrite([398895(6),397876(6),413170(9),75356(6),400178(3),397635(9),50(10)]),flip(a)]. 429179 L(a(x,y,z),u,a(x,y,z) * u) \ 1 = u * ((u * a(x,y,z)) \ 1). [hyper(295,a,95525,a,b,398206,a),rewrite([398536(8),382507(8),394477(8),51(5),397635(13),50(14)])]. 429229 a(x,y,z) * ((u \ a(u,u,a(x,y,z))) * a(x,y,z)) = T(T((a(x,y,z) \ u) \ a(x,y,z),u),u). [hyper(7088,a,398206,a(flip),b,345757,a),rewrite([386876(9),385657(7),386876(10),385657(8),397635(17),50(18),429172(15),398895(13)]),flip(a)]. 429324 T(T((a(x,y,z) \ u) \ a(x,y,z),u),u) = (a(x,y,z) \ u) \ a(x,y,z). [hyper(5083,a,398206,a(flip),b,345725,a),rewrite([547(2),397635(11),50(12),429172(9),398895(7),429229(7),547(10)])]. 429454 x * (a(y,z,u) \ (L(a(y,z,u),w,v5) \ 1)) = a(y,z,u) \ (L(a(y,z,u),w,v5) \ x). [para(165661(a,1),398206(a,2,2,2)),rewrite([388661(8),400742(7),388653(6),397922(7),354134(5)]),flip(a)]. 429497 (a(x,y,z) \ u) * L(a(x,y,z) \ 1,w,v5) = u * (a(x,y,z) \ L(a(x,y,z) \ 1,w,v5)). [para(335537(a,2),398206(a,2,2,2)),rewrite([382507(7),382653(8),5530(7),400742(7),398601(6),382507(14),382653(15),5530(14),338014(14),398601(12)])]. 429930 T(a(x,y,z) \ a(u,w,v5),v6) = a(x,y,z) \ a(u,w,v5). [hyper(7088,a,60809,a,b,400273,a),rewrite([397087(10),400742(8),400178(11),50(9)])]. 429986 T(x,y) * (a(z,u,w) \ a(v5,v6,v7)) = T(x * (a(z,u,w) \ a(v5,v6,v7)),y). [hyper(295,a,4081,a(flip),b,400273,a),rewrite([407840(9),384632(9),15(7),408(7),429930(11),385459(11),385657(11),408(9),394737(9),385056(10),400742(9)])]. 429997 (a(x,y,z) \ a(u,w,v5)) \ 1 = a(u,w,v5) \ a(x,y,z). [hyper(7088,a,400273,a(flip),b,345757,a),rewrite([385459(7),385657(7),408(5),385459(7),385657(7),408(5),397070(12),51(11)]),flip(a)]. 429998 x / (a(y,z,u) \ a(w,v5,v6)) = (a(y,z,u) \ a(w,v5,v6)) \ x. [hyper(7088,a,400273,a(flip),b,118801,a),rewrite([429930(4),429930(4),385459(8),385657(8),408(6),429930(13),429930(13),397635(14),413070(13),51(14),51(11)])]. 430068 (a(x,y,z) \ a(u,w,v5)) \ v6 = a(x,y,z) * (a(u,w,v5) \ v6). [hyper(5083,a,400273,a(flip),b,90188,a),rewrite([429998(5),429997(5),429998(10),429997(10),400273(9),50(10),51(7),429997(12),385459(11),385657(11),408(9),400273(8)])]. 430263 (a(x,y,z) * u) \ (a(w,v5,v6) * u) = a(x,y,z) \ a(w,v5,v6). [back_rewrite(400303),rewrite([429930(9)])]. 430269 x / (a(y,z,u) \ a(w,v5,v6)) = a(y,z,u) * (a(w,v5,v6) \ x). [back_rewrite(429998),rewrite([430068(8)])]. 430331 (x * a(y,z,u)) * (a(w,v5,v6) \ K(v7,v8)) = x * (a(y,z,u) * (a(w,v5,v6) \ K(v7,v8))). [hyper(5142,a,15112,a(flip),b,397682,a),rewrite([9510(10),7726(10),7726(9),31701(8),397148(7),171995(12),400780(10),7726(12),397682(11)])]. 430497 T(x * (a(y,z,u) \ K(x * w,x)),w) = R(a(y,z,u) \ x,w,a(y,z,u) * x). [para(397682(a,1),1735(a,1,1)),rewrite([383910(7),407924(5),398536(11)])]. 430514 x * (a(y,y,x) \ K(z,u)) = L(x * K(z,u),y,y). [para(85130(a,1),397682(a,1,1)),rewrite([26653(3)]),flip(a)]. 430535 (x * a(y,z,u)) * L(a(y,z,u) \ K(w,v5),v6,v7) = x * (a(a(y,z,u),v6,v7) * K(w,v5)). [para(160170(a,2),397682(a,1,1)),rewrite([547(2),6706(2),397154(5),7726(5),401733(12)]),flip(a)]. 430557 R(x * (a(y,z,u) \ K(w,v5)),v6,v7) * v8 = R(a(y,z,u) \ x,v6,v7) * (K(w,v5) * v8). [para(397682(a,1),208456(a,1,1,1))]. 430841 R(x,x,a(y,z,u) * w) \ (a(y,z,u) \ w) = (x \ 1) * (a(y,z,u) \ w). [hyper(5081,a,206986,a,b,397483,a),rewrite([398536(3),397483(12)])]. 430845 (a(x,y,z) \ u) * L(T(w,u),v5,v6) = L(w,v5,v6) * (a(x,y,z) \ u). [hyper(5081,a,158354,a,b,397483,a),rewrite([158354(6),60(8)]),flip(a)]. 431108 a(x * (y * (a(z,u,w) \ v5)),v6,v7) = a(x * (y * (v5 * a(z,u,w))),v6,v7). [para(397483(a,1),24885(a,2,1,2)),rewrite([394477(4),428708(9),46951(9),384961(4)]),flip(a)]. 431120 (x * (a(y,z,u) \ w)) / T(x,v5) = a(y,z,u) \ ((x * w) / T(x,v5)). [para(397483(a,2),42869(a,2,1)),rewrite([383910(5),95943(6),397483(9)]),flip(a)]. 431237 (x * (a(y,z,u) \ a(w,v5,v6))) * a(v7,v8,v9) = a(w,v5,v6) * (x * (a(y,z,u) \ a(v7,v8,v9))). [para(397483(a,2),394565(a,1,1)),rewrite([547(4),400742(4),400742(11)])]. 431246 (a(x,y,z) * (u * (a(x,y,z) \ w))) \ ((u * w) * v5) = a(u,w,a(x,y,z)) * v5. [para(397483(a,1),387235(a,1,1,1,2)),rewrite([13983(10),398359(9),398679(9),5531(8),410(7),13983(13),398359(12),398679(12)])]. 431291 (a(x,y,z) * (u * (a(x,y,z) \ (u \ w)))) \ (w * v5) = a(u,u \ w,a(x,y,z)) * v5. [hyper(5081,a,387235,a,b,431246,a),rewrite([5531(8),412863(8),51(12)]),flip(a)]. 431386 L(x,y,z * (a(u,w,v5) * (v6 * (a(u,w,v5) \ v7)))) = L(x,y,z * (v6 * v7)). [para(431246(a,1),83736(a,1,3,2,1)),rewrite([388187(6),58(3),385017(5),7733(4),83724(7),85459(6)]),flip(a)]. 431410 a(x \ (a(y,z,u) * (w * (a(y,z,u) \ v5))),v6,v7) = a(x \ (w * v5),v6,v7). [para(431246(a,1),96331(a,1,1,2,1)),rewrite([388187(6),58(3),385017(5),7733(4),98617(6),96820(7),20246(6)]),flip(a)]. 431412 (a(x,x,y) * (z * L(y,x,x))) \ ((z * y) * u) = a(z,y,a(x,x,y)) * u. [para(85130(a,1),431246(a,1,1,2,2))]. 431525 (a(x,y,z) * u) \ (u * a(w,v5,v6)) = a(x,y,z) \ a(w,v5,v6). [hyper(5083,a,400742,a,b,112220,a),rewrite([58(6),561(4),547(7)])]. 431551 (a(x,y,z) \ u) \ (a(w,v5,v6) \ u) = a(w,v5,v6) \ a(x,y,z). [hyper(5083,a,168799,a,b,400742,a(flip)),rewrite([6706(2),393579(9),394477(9),394423(9)])]. 431555 (a(x,y,z) \ u) \ T(u * (a(x,y,z) \ a(w,v5,v6)),v7) = K(u,v7) * a(w,v5,v6). [hyper(5083,a,400742,a(flip),b,96799,a),rewrite([429986(7)])]. 431670 (x * a(y,z,u)) \ (x * a(w,v5,v6)) = a(y,z,u) \ a(w,v5,v6). [hyper(295,a,236275,a,b,431525,a),rewrite([561(4)])]. 431744 T(x * a(y,z,u),w) \ T(a(v5,v6,v7) * x,w) = a(y,z,u) \ a(v5,v6,v7). [para(204808(a,2),431525(a,1,2)),rewrite([385056(3),393579(5),15116(9)])]. 431781 L(a(x,y,z) \ a(u,w,v5),v6,a(v7,v8,v9)) = a(x,y,z) \ a(u,w,v5). [para(385515(a,2),431525(a,1,1)),rewrite([6706(3),19228(6),394703(6),400742(6),431237(8),56(9)])]. 431862 a(x,y,a(z,u,w)) * (a(z,u,w) \ v5) = L(a(z,u,w),y,x) \ v5. [para(62943(a,1),397588(a,1,2)),rewrite([382507(3),382653(4),388135(5),382507(7),382507(11),339196(12),400178(11)])]. 431920 L(L(a(x,y,z),u,w) \ 1,a(x,y,z),v5) = L(a(x,y,z),u,w) \ 1. [para(355091(a,2),397588(a,1,2,2)),rewrite([118297(8),354134(8),429454(9),397572(8),399873(7),16922(6),397262(3),12999(6),388653(4),118297(8)]),flip(a)]. 432002 (L(x,y,z) \ u) \ u = L((x \ u) \ u,y,z). [para(411(a,1),380254(a,2,1)),rewrite([354134(3),51(4),51(4)])]. 432191 R(x,y,L(z,u,w) \ (v5 * z)) = R(x,y,z * (L(z,u,w) \ v5)). [para(380254(a,1),204275(a,1,3,1)),rewrite([162919(4),162930(4)])]. 432231 L(x,L(y,z,u) * L(L(T(T(y,w),w),z,u),v5,v6),v7) = L(x,L(y * L(y,v5,v6),z,u),v7). [para(380254(a,1),305362(a,2,2,1)),rewrite([24474(11),50(7),307622(10),422229(4),380254(11),93251(10)]),flip(a)]. 432265 K((x \ ((y * (L(y,z,u) \ w)) \ y)) * w,v5) = K(x \ T(y,w),v5). [para(380254(a,1),6385(a,2,1,2)),rewrite([372457(7),417863(7),377063(11)])]. 432556 L(L((x \ 1) \ 1,y,z) \ u,L(x,y,z),L(x,y,z)) = (L(x,y,z) \ 1) * u. [para(432002(a,1),60809(a,1,1,1)),rewrite([26414(13),28083(11)])]. 432889 T(a(x,y,z) \ (u / w),w) = a(x,y,z) \ (w \ u). [hyper(7088,a,168799,a,b,397267,a),rewrite([231319(3),7725(7),32036(6),293938(6),397148(5),11961(9),204274(13),216274(11),382507(9),394477(9),420938(9),420478(12),24263(10),397148(9),50(9)])]. 433233 a(R(x * (K(y,z) * (a(u,w,v5) \ K(y,z))),v6,v7),v8,v9) = a(R(a(u,w,v5) \ x,v6,v7),v8,v9). [para(397267(a,2),280979(a,1,1,1)),rewrite([7726(6),256282(5)])]. 433539 (((a(x,y,z) \ 1) / u) \ 1) \ 1 = u \ (a(x,y,z) \ 1). [hyper(18716,a,399292,a)]. 433577 ((x \ (a(y,z,u) \ 1)) \ 1) \ 1 = (a(y,z,u) \ 1) / x. [hyper(271,a,69340,a,b,399292,a(flip))]. 433578 T(x,x \ 1) \ (a(y,z,u) \ 1) = (a(y,z,u) \ 1) / x. [para(399292(a,1),160(a,1,2)),rewrite([337(8),384444(19),374267(17),397087(12),49(12),384540(13),64920(12)]),flip(a)]. 433589 1 / ((a(x,y,z) \ 1) / u) = (u \ (a(x,y,z) \ 1)) \ 1. [para(2244(a,1),399292(a,2,1)),rewrite([386876(6),433578(8)])]. 433637 L(((a(x,y,z) \ 1) / u) \ 1,u \ a(x,y,z),u \ a(x,y,z)) = (u \ (a(x,y,z) \ 1)) \ 1. [para(399292(a,2),60426(a,1,1)),rewrite([399292(6),26402(15),403636(15),28057(13),405445(13),433589(17),49(19)])]. 433783 (L(x,y,z) \ u) * (w / (L(x,y,z) \ u)) = (x \ u) * (w / (x \ u)). [para(378475(a,1),197(a,1,2)),rewrite([382462(5),409036(5),382354(5)]),flip(a)]. 434006 T(L(a(x,y,z),u,w) \ 1,v5) = (v5 * L(a(x,y,z),u,w)) \ v5. [hyper(7088,a,397122,a(flip),b,433783,a),rewrite([422658(9),380545(8),385118(7),422658(10),397417(13),58(12),561(10)])]. 434008 T(L(x,y,z) \ L(x,u,w),v5) = L(x,y,z) \ L(x,u,w). [hyper(7088,a,102113,a(flip),b,433783,a),rewrite([3334(8),405411(8),414399(8),415956(7),323(4),48(5),293004(11),293086(14),340(9)])]. 434057 (x \ (L(x,y,z) \ 1)) \ T(u,x * x) = u / (x \ (L(x,y,z) \ 1)). [hyper(5083,a,66988,a(flip),b,433783,a),rewrite([354134(4),67315(9),58(8),354134(11)])]. 434203 (((x * y) \ z) * u) * (w / (((x * y) \ z) * u)) = ((y \ (x \ z)) * u) * (w / ((y \ (x \ z)) * u)). [para(60487(a,1),433783(a,1,1,1)),rewrite([60487(7),411838(8),411838(16)])]. 434206 L(x / (L(y,z,u) \ 1),L(y,z,u),L(y,z,u)) = y * (L(y \ 1,z,u) * (x / (y \ 1))). [para(433783(a,1),61613(a,1,2)),rewrite([150405(8)]),flip(a)]. 434247 T(x,T(y * (z \ L(u,w,v5)),v6 * (z * u))) = T(x,T((z \ L(u,w,v5)) * y,v6)). [para(433783(a,1),121044(a,1,2,2)),rewrite([4743(8),36711(6),2948(7),414987(5),415031(12),416403(12),128059(12),417635(12)]),flip(a)]. 434248 T(x,T(y * (z \ u),w * (z * u))) = T(x,T((z \ u) * y,w)). [para(433783(a,2),121044(a,1,2,2)),rewrite([433783(8),4743(7),36711(5),2948(6),414987(4),415031(9),128059(10),417635(10)]),flip(a)]. 434557 K((x \ ((y * z) \ y)) * u,w) = K(x \ (z \ u),w). [para(382(a,1),377063(a,1,1,2)),rewrite([418194(5)])]. 434634 K((x \ y) * (z / y),u) = K(x \ T(z,y),u). [back_rewrite(432265),rewrite([434557(7),432002(3),377063(5),374845(4),373349(4)])]. 434661 K((x \ (y \ z)) * y,u) = K(x \ T(z,y),u). [back_rewrite(373349),rewrite([434634(8)])]. 434670 K(x \ (y / (z / x)),u) = K(T(y,x) / z,u). [back_rewrite(373327),rewrite([434634(5),34581(4)]),flip(a)]. 434704 K(((x \ y) * x) / z,u) = K(T(y,x) / z,u). [back_rewrite(96274),rewrite([434670(8)])]. 434834 T(x,T((y * z) * u,w)) = T(x,T(y * (z * u),w)). [para(418752(a,1),149(a,1,2)),rewrite([149(5)]),flip(a)]. 435336 (x * (a(y,z,u) * w)) / T(x,v5) = a(y,z,u) * ((x * w) / T(x,v5)). [para(381153(a,1),42869(a,1,2,1)),rewrite([10125(6),140106(5)]),flip(a)]. 435455 K(x,y * (z \ (u \ z))) = K(x,y / T(u,z)). [para(57973(a,1),380561(a,1,2,2)),rewrite([380561(4),82(6),341717(8)])]. 435862 K(x,y * (z * (u \ (w \ u)))) = K(x,y * (z / T(w,u))). [para(8319(a,1),435455(a,1,2)),rewrite([408684(8),381153(8),198133(11),380622(12),423491(9)])]. 436886 L(1 / x,x,a(y,z,u)) * a(y,z,u) = a(y,z,u) / x. [hyper(7088,a,402396,a,b,397148,a),rewrite([385657(6),408(4),397087(10)]),flip(a)]. 437017 L(K(x,y) / z,z,y) = T(y,x) \ (y / z). [hyper(5083,a,402396,a,b,8936,a),rewrite([5754(5),26458(5),75459(4)])]. 437052 ((x \ y) \ 1) \ 1 = y \ (y / (y \ x)). [hyper(295,a,381,a,b,402396,a),rewrite([1816(5),382462(5),49(4),41109(5),71642(5)])]. 437100 a(x,y,x) \ (a(x,y,x) / z) = 1 / z. [hyper(295,a,5527,a(flip),b,402396,a),flip(a)]. 437202 (x / y) / L(1 / y,y,x) = x. [hyper(6683,a,402396,a(flip))]. 437240 x \ (x / T(y,y \ 1)) = L(y \ 1,y,x). [para(2244(a,1),402396(a,1,1)),rewrite([26536(6)]),flip(a)]. 437268 x * L(a(y,z,a(u,w,v5)) / v6,v6,x) = (x / v6) * a(y,z,a(u,w,v5)). [para(402396(a,2),8271(a,1,2,1)),rewrite([17022(6),198567(5)])]. 437273 L(1 / (x \ y),x \ y,y) = y \ x. [para(337(a,1),402396(a,2,2))]. 437694 R(x,x,L(y,y,x)) = R(x,x,x * (y \ x)). [para(402396(a,2),270259(a,1,3)),rewrite([231757(4),217672(4),216904(5)])]. 437698 (x \ (x / y)) \ L(R(1 / y,z,u),y,x) = x \ ((x / y) * R(y,z,u)). [para(402396(a,2),272488(a,1,2,1)),rewrite([63(6),340(10)])]. 437700 L(x \ R(x,y,z),x,u) = u \ ((u / x) * R(x,y,z)). [para(402396(a,1),272623(a,1,1)),rewrite([437698(7),272651(10),324(7),48(7)]),flip(a)]. 437917 K(x,y * (z \ (z / u))) = K(x,y / u). [para(402396(a,1),376813(a,1,2,2)),rewrite([76040(8)])]. 438015 L(1 / x,x,x \ y) = L(x \ 1,x,y). [back_rewrite(332242),rewrite([437240(9)])]. 438356 (1 / x) \ (y \ (y / x)) = (y \ (y / x)) * x. [para(437017(a,1),63806(a,1,1)),rewrite([31934(7),95621(6),349016(5),437017(8),193576(9)]),flip(a)]. 438364 a(x,(y * z) \ y,u) = a(x,y \ (z \ y),u). [para(437017(a,1),70632(a,1,2)),rewrite([97123(4),13936(4),25395(6),52482(7)]),flip(a)]. 438400 T((x \ (x / y)) \ (1 / y),z) = (x \ (x / y)) \ (1 / y). [para(437017(a,1),91472(a,1,1,1)),rewrite([75831(6),437017(9),75831(12)])]. 438465 (K(x,y) / z) * ((T(y,x) \ (y / z)) \ u) = (y \ (y / z)) \ ((1 / z) * u). [para(437017(a,1),162681(a,1,1)),rewrite([199060(7),437017(11)]),flip(a)]. 438478 L(x,y,z * ((u * w) \ u)) = L(x,y,z * (u \ (w \ u))). [para(437017(a,1),168807(a,1,3,2)),rewrite([101298(5),85372(5),25395(7),85376(9)]),flip(a)]. 438514 L(x,y,(z * u) \ u) = L(x,y,u \ (z \ u)). [para(437017(a,1),209136(a,2,3)),rewrite([236970(3),26402(4),252984(4),163725(7),28466(7)])]. 438520 R(x,(y * z) \ z,u) = R(x,z \ (y \ z),u). [para(437017(a,1),215709(a,2,2)),rewrite([236970(3),214508(4),253178(4),216240(7),214557(7)])]. 438563 ((x \ (x / y)) \ (1 / y)) \ 1 = (x \ (x / y)) * y. [para(437017(a,1),304759(a,1,1,1)),rewrite([75831(6),437017(12),193576(13),438356(12)])]. 438600 (x \ K(y,z)) * (((T(z,y) * x) \ z) \ u) = (z \ (z / x)) \ ((1 / x) * u). [para(437017(a,1),162842(a,1,2,1)),rewrite([438465(7),25395(11)]),flip(a)]. 438652 a(x,y \ (z \ y),z) = a(x,z,y \ (z \ y)). [para(437017(a,1),401608(a,1,2)),rewrite([14988(6),72881(6),97123(4),13936(4),437017(8),239473(9),13992(9),14827(8),50903(8)])]. 438668 R(x,y,(y * z) \ z) = R(x,y,z \ (y \ z)). [para(437017(a,1),401684(a,2,3)),rewrite([236970(5),204273(6),253181(6),214508(5),206892(5),239766(9),206638(9),214508(8),206892(8)])]. 438762 L(x,y,(z * u) \ z) = L(x,y,z \ (u \ z)). [back_rewrite(113368),rewrite([438514(3)]),flip(a)]. 438774 R(x,(y * z) \ y,u) = R(x,y \ (z \ y),u). [back_rewrite(216253),rewrite([438520(3)]),flip(a)]. 438793 (x * ((y * x) \ y)) \ 1 = (y \ (y / x)) \ (1 / x). [back_rewrite(306792),rewrite([438600(8),49(6)]),flip(a)]. 438810 (x * ((y * x) \ y)) \ y = R(y,x,y \ (x \ y)). [back_rewrite(347540),rewrite([438668(7)])]. 438881 (x \ (x / y)) * y = y * ((x * y) \ x). [back_rewrite(306787),rewrite([438793(5),438563(7)])]. 438919 (1 / x) \ (y \ (y / x)) = x * ((y * x) \ y). [back_rewrite(438356),rewrite([438881(8)])]. 438949 1 / ((x * y) \ x) = (x \ (x / y)) \ 1. [back_rewrite(346089),rewrite([438881(3),346629(4)])]. 439010 a(x,(y * z) \ z,u) = a(x,z \ (y \ z),u). [para(194(a,1),438364(a,2,2,2)),rewrite([410(2),97384(7)])]. 439285 a(x,y,z) / (a(x,y,z) \ u) = (a(x,y,z) / u) * a(x,y,z). [hyper(7088,a,437052,a,b,397148,a),rewrite([385657(8),408(6),413633(13),397087(10)])]. 439367 1 / (x \ (x / (x \ y))) = (y \ x) \ 1. [hyper(6683,a,437052,a)]. 439486 (((x * y) \ x) \ 1) \ 1 = x \ (x / y). [para(50(a,1),437052(a,2,2,2))]. 439537 a((x \ y) \ x,z,u) = a((y \ x) * x,z,u). [para(437052(a,2),12556(a,1,1,1)),rewrite([46633(7),46633(5),12554(6)]),flip(a)]. 439538 a(x \ ((x \ y) \ x),z,u) = a(y \ x,z,u). [para(437052(a,1),12554(a,2,1)),rewrite([337(5),96321(6)]),flip(a)]. 439552 a(x,y,z \ ((z \ u) \ z)) = a(x,y,u \ z). [para(437052(a,1),13992(a,2,3)),rewrite([72770(7),13983(5),72770(4),239473(6)]),flip(a)]. 439578 (x \ 1) \ ((x \ 1) / (x * y)) = x \ (x / (x * y)). [para(22931(a,1),437052(a,2,2,2)),rewrite([89794(4),439486(7),331090(10)]),flip(a)]. 439588 L(x,y \ ((y \ z) \ y),u) = L(x,z \ y,u). [para(437052(a,1),26514(a,2,2)),rewrite([28083(7),26536(5),28083(4),239497(6)]),flip(a)]. 439632 a(x * ((y \ ((y \ z) \ y)) * u),w,v5) = a(x * ((z \ y) * u),w,v5). [para(437052(a,1),46992(a,2,1,2,1)),rewrite([337(5),240022(10)]),flip(a)]. 439778 L(x,y,(z \ u) \ z) = L(x,y,(u \ z) * z). [para(437052(a,2),85435(a,1,3,1)),rewrite([83104(7),83104(5),26402(6)]),flip(a)]. 440006 R(x,y,z \ ((z \ u) \ z)) = R(x,y,u \ z). [para(437052(a,1),206104(a,1,3)),rewrite([239766(4),206104(8)])]. 440202 ((x * R(x,y,z)) \ 1) \ 1 = (R(x,y,z) \ 1) \ x. [para(174008(a,1),437052(a,1,1,1)),rewrite([63590(12),181181(13),50(14)])]. 440203 ((x \ (R(x,y,z) \ 1)) \ 1) \ 1 = x \ (R(x,y,z) \ 1). [para(174008(a,1),437052(a,2,2,2)),rewrite([63590(4),439578(16),287817(11)])]. 440213 (x \ y) * (x \ (x / (x \ y))) = (y \ x) * (x \ y). [para(437052(a,2),345579(a,1,2)),rewrite([340(3),345997(9),340(6)]),flip(a)]. 440248 ((x \ y) \ 1) * (y \ x) = (y \ x) * ((x \ y) \ 1). [para(437052(a,2),355323(a,2,1)),rewrite([340(3),439367(6),340(13),345835(12)]),flip(a)]. 440334 (x \ (R(x,y,z) \ 1)) * (x * R(x,y,z)) = 1. [back_rewrite(346601),rewrite([440202(6),347638(9),358192(5)]),flip(a)]. 440338 (x \ y) \ T(y \ x,x \ y) = (y \ x) * ((x \ y) \ 1). [back_rewrite(357908),rewrite([440248(10)])]. 440358 (x \ (R(x,y,z) \ 1)) \ 1 = x * R(x,y,z). [back_rewrite(346283),rewrite([440334(7),324(4)]),flip(a)]. 440361 (x * R(x,y,z)) \ 1 = x \ (R(x,y,z) \ 1). [back_rewrite(440203),rewrite([440358(6)])]. 440364 (R(x,y,z) \ 1) \ x = x * R(x,y,z). [back_rewrite(440202),rewrite([440361(4),440358(6)]),flip(a)]. 440389 a(x \ a(y,z,u),w,v5) = a(a(y,z,u) * x,w,v5). [hyper(295,a,398307,a(flip),b,439538,a),rewrite([400167(7),398307(3)]),flip(a)]. 440390 a((x * y) \ x,z,u) = a(x \ (y \ x),z,u). [para(50(a,1),439538(a,1,1,2,1)),flip(a)]. 440485 L(x,y \ a(z,u,w),y \ a(z,u,w)) = L(x,a(z,u,w) * y,a(z,u,w) * y). [back_rewrite(413681),rewrite([440389(5),135661(6)]),flip(a)]. 440521 L(((a(x,y,z) \ 1) / u) \ 1,a(x,y,z) * u,a(x,y,z) * u) = (u \ (a(x,y,z) \ 1)) \ 1. [back_rewrite(433637),rewrite([440485(11)])]. 440557 (x \ y) * ((y \ x) \ 1) = (x \ y) / (y \ x). [hyper(5081,a,57662,a,b,440248,a),rewrite([28083(11),347596(9),440248(8)]),flip(a)]. 440605 ((x * y) \ x) * (y \ 1) = (y \ 1) * ((x * y) \ x). [para(50(a,1),440248(a,1,1,1)),rewrite([50(9)]),flip(a)]. 440606 (((x * y) \ x) \ 1) * y = y * (((x * y) \ x) \ 1). [para(50(a,1),440248(a,1,2)),rewrite([50(7)])]. 441059 (x \ y) \ T(y \ x,x \ y) = (y \ x) / (x \ y). [back_rewrite(440338),rewrite([440557(10)])]. 441066 (((x \ y) \ 1) \ 1) * (1 / (y \ x)) = (x \ y) / (y \ x). [back_rewrite(348681),rewrite([440557(14)])]. 441466 L((x \ a(y,z,u)) \ 1,a(y,z,u) * x,a(y,z,u) * x) = (a(y,z,u) / x) \ 1. [hyper(5081,a,413503,a,b,437273,a),rewrite([413503(4),324(9),413575(8),324(12),26402(13),28057(13),440485(13)]),flip(a)]. 441474 L(x \ y,x \ y,y) = (x * ((x \ y) \ 1)) \ x. [hyper(5081,a,346463,a,b,437273,a),rewrite([346463(7),50(11),337(10),50(11),73507(14),51(11),28083(10)]),flip(a)]. 441526 L(((a(x,y,z) \ 1) / u) \ 1,u \ (a(x,y,z) \ 1),a(x,y,z)) = u * a(x,y,z). [hyper(5081,a,397087,a(flip),b,437273,a),rewrite([399292(8),26414(16)]),flip(a)]. 441571 L(L(x \ y,z,u) \ (x \ y),(x \ y) * L(x \ y,z,u),y * L(y \ x,z,u)) = (y * L(y \ x,z,u)) \ x. [hyper(295,a,305362,a(flip),b,437273,a),rewrite([293260(6),306629(6)])]. 441593 L(L(1 / (x \ y),z,u),x \ y,y) = L(y \ x,z,u). [para(437273(a,1),64(a,1,1)),flip(a)]. 441758 L(x \ (y * L(y \ x,z,u)),x \ y,y) = y \ (x * L(x \ y,z,u)). [para(437273(a,1),305594(a,1,1)),rewrite([441593(7),304101(4),304580(12),324(9),48(9),304101(8)]),flip(a)]. 441763 L(x \ y,x \ y,y) \ (x \ y) = (y \ x) \ (1 / (x \ y)). [para(437273(a,1),307360(a,2,1)),rewrite([81403(6),81403(12),70966(11),389190(8),162960(8),7733(11),338675(10),388171(10),159097(7)])]. 441836 L(x,y \ a(z,u,w),v5) = L(x,a(z,u,w) * y,v5). [para(437273(a,1),394205(a,1,2)),rewrite([394477(3),413503(7),28083(8),28057(6)]),flip(a)]. 441845 L(K(x * y,z) / x,x,x * (y * L(x,u,w))) = ((y * x) * L(x,u,w)) \ T(y * L(x,u,w),z). [para(401975(a,1),437273(a,1,1,2)),rewrite([75568(5),401975(10),163669(10),26505(10)])]. 441851 L(((x \ 1) \ a(y,z,u)) \ 1,x * a(y,z,u),a(y,z,u)) = a(y,z,u) \ (1 / x). [para(403185(a,2),437273(a,1,1,2)),rewrite([403185(5),413503(6),420287(4),441836(12),77774(12),77943(12)])]. 441917 L(x,a(y,z,u) * w,w \ a(y,z,u)) = L(x,a(y,z,u) * w,a(y,z,u) * w). [back_rewrite(440485),rewrite([441836(5)])]. 441939 a(a(x,y,z) * (u * ((u \ a(x,y,z)) * w)),v5,v6) = a(L(w,a(x,y,z) * u,u),v5,v6). [back_rewrite(400159),rewrite([441836(10)])]. 441942 L(x,a(y,z,u) * x,a(y,z,u)) \ 1 = a(y,z,u) \ (x \ a(y,z,u)). [back_rewrite(398425),rewrite([441836(4)])]. 441979 L(K(x * y,z) / x,x,x * (y * L(x,u,w))) = L(x \ K(y * x,z),x,y * L(x,u,w)). [hyper(5081,a,95539,a,b,441845,a),rewrite([402089(6),376474(8),26653(8),31850(5)]),flip(a)]. 441980 L(x \ K(y * x,z),x,y * L(x,u,w)) = ((y * x) * L(x,u,w)) \ T(y * L(x,u,w),z). [hyper(5081,a,67477,a,b,441845,a),rewrite([67477(11),441979(14)]),flip(a)]. 442268 L(T((L(x,y,z) \ x) * u,u),w,v5) = L((L(x,y,z) \ x) * u,w,v5). [hyper(7088,a,413274,a,b,13654,a),rewrite([415956(8),323(5),48(6),60(5),413274(21),50(17)])]. 442410 a(x,y,z) \ ((L(u,w,v5) \ u) * v6) = (L(u,w,v5) \ u) * (a(x,y,z) \ v6). [hyper(5142,a,413274,a,b,397682,a),rewrite([27381(6),395874(4),9510(9),7726(9),7726(8),31701(7),397148(6)]),flip(a)]. 442422 (L(L(x,y,z) \ x,u,w) * (K(w,v5) * (u * w))) / T(T(w,u),v5) = (L(x,y,z) \ x) * T(u,w). [hyper(5142,a,413274,a,b,13996,a),rewrite([26562(5),7724(6)])]. 442423 (L(x,y,z) \ x) * T(u,w) = T((L(x,y,z) \ x) * u,w). [hyper(5142,a,413274,a,b,13622,a),rewrite([413274(15),210712(15),6159(8),427861(7),323(4),48(5),7726(5),149(4)])]. 442517 L(x,a(y,z,u),w * L(w,v5,v6)) = x. [hyper(5083,a,413274,a,b,15112,a),rewrite([12075(12),399611(10),25295(14),5538(3),165303(6),26505(6)])]. 442578 L(L(x,y,z) \ x,u,w) * (K(w,v5) * (u * w)) = T((L(x,y,z) \ x) * u,w) * T(T(w,u),v5). [hyper(5081,a,13996,a,b,413274,a),rewrite([442423(4),26562(12),7724(13)]),flip(a)]. 442610 (x * ((L(y,z,u) \ y) * w)) / T(x,v5) = (L(y,z,u) \ y) * ((x * w) / T(x,v5)). [hyper(5081,a,42869,a(flip),b,413274,a),rewrite([424979(12),323(9),48(10),26403(12),5539(10),424979(12),323(9),48(10),42869(12)])]. 442615 L(x * (L(x,y,z) \ (u * u)),u,u) = (u * (L(x,y,z) \ x)) * u. [hyper(5081,a,14227,a(flip),b,413274,a),rewrite([408211(9),323(7),408(8),408211(10),323(8),408(9),25958(9),163055(8)]),flip(a)]. 442616 T((L(x,y,z) \ x) * u,w) * T(T(w,u),v5) = K(w,v5) * ((u * (L(x,y,z) \ x)) * w). [hyper(5081,a,13996,a(flip),b,413274,a),rewrite([93042(6),25262(12),25262(11),26536(10),18308(13),8517(13),442578(13)]),flip(a)]. 442632 ((L(x,y,z) \ x) * u) * u = u * (u * (L(x,y,z) \ x)). [hyper(295,a,11786,a,b,413274,a),rewrite([91472(4)]),flip(a)]. 442635 (x * (L(y,z,u) \ y)) * x = x * (x * (L(y,z,u) \ y)). [hyper(295,a,25958,a(flip),b,413274,a),rewrite([163055(4),442615(5),442632(8)])]. 442638 T((L(x,y,z) \ x) * u,u) = u * (L(x,y,z) \ x). [hyper(7088,a,210819,a,b,413274,a(flip)),rewrite([210819(11),25958(9),163055(8),442615(9),442635(8),50(9)])]. 442880 a(((L(x,y,z) \ x) * u) * w,v5,v6) = a(w * (u * (x \ L(x,y,z))),v5,v6). [para(413274(a,2),47243(a,2,1)),rewrite([305139(4),13792(7),413274(10)]),flip(a)]. 442881 a(x,y,((z * L(z,u,w)) * v5) * v6) = a(x,y,v6 * (v5 * (L(z,u,w) \ z))). [para(413274(a,1),136137(a,2,3)),rewrite([380(5),306139(10)]),flip(a)]. 442922 ((x * (y \ L(y,z,u))) \ x) * ((L(y,z,u) \ y) * x) = (L(y,z,u) * L(y \ 1,z,u)) \ x. [para(89885(a,2),413274(a,1,1)),rewrite([379966(9),380347(10),308948(10),379966(13),380349(14)])]. 442974 a(x,y,z * L(z,u,w)) \ 1 = a(z * L(z,u,w),y,x). [para(413274(a,1),304442(a,1,2)),rewrite([54(9),163148(3),397937(13),165285(6)]),flip(a)]. 443016 L(a(x,y,z) \ 1,u,w * L(w,v5,v6)) = a(x,y,z) \ 1. [back_rewrite(400702),rewrite([442410(8),397587(9),378475(4),323(2),15(3),165303(6)])]. 443019 T(x,y) * (L(z,u,w) \ z) = T((L(z,u,w) \ z) * x,y). [back_rewrite(442422),rewrite([442578(7),442616(7),231272(9),42853(8),230707(9),442423(8)])]. 443055 L((L(x,y,z) \ x) * u,w,v5) = L(u * (L(x,y,z) \ x),w,v5). [back_rewrite(442268),rewrite([442638(4)]),flip(a)]. 443106 a(x * L(x,y,z),u,w) * (x \ (L(x,y,z) \ 1)) = (x * L(x,y,z)) \ a(x * L(x,y,z),u,w). [para(413291(a,2),339031(a,1,1)),rewrite([413291(10),304789(7)])]. 443208 T(x * L(x \ y,z,u),x) = x \ L(y * x,z,u). [para(423113(a,1),412(a,1,1))]. 443309 (x / (1 / y)) \ L(x,z,u) = (x \ L(x,z,u)) / y. [para(61780(a,1),423113(a,1,1,1)),rewrite([423407(5),423165(4),227954(5),411732(12)])]. 443327 ((1 / x) \ y) * L((x \ y) \ (x \ 1),z,u) = (x * x) * ((y \ L(y,z,u)) / x). [para(81065(a,1),423113(a,1,1,1)),rewrite([231422(7),423165(6),443309(6),192086(12)]),flip(a)]. 443539 L(L(x * y,z,u),w,v5) / y = y * L(L(y \ x,z,u),w,v5). [para(423113(a,1),410893(a,1,2,1,2)),rewrite([50(4)]),flip(a)]. 443752 (x * ((y \ x) \ 1)) \ y = x \ (y / ((y \ x) \ 1)). [para(170410(a,2),441758(a,2,2,2)),rewrite([24263(4),50(5),345775(5),170410(10),401861(9)])]. 443765 L((x \ (y * L(y \ x,z,u))) \ w,(x \ y) * L(x \ y,z,u),(x \ y) * L(x \ y,z,u)) = w * (L(x \ y,z,u) \ (x \ y)). [para(441758(a,2),248865(a,1,1,1)),rewrite([441758(6),307384(14),309067(14),306629(20),403603(24),380545(24),408316(23),323(20),408(21)])]. 443857 L(L(x \ L(x,y,z),u,w),a(v5,v6,v7),v8) = L(x \ L(x,y,z),u,w). [hyper(5081,a,289990,a,b,396752,a),rewrite([381611(6),287528(5),323(3),408(4),188068(4),304458(4),304458(7)]),flip(a)]. 443869 (x * a(y,z,u)) * (w \ L(w,v5,v6)) = x * (a(y,z,u) * (w \ L(w,v5,v6))). [para(396752(a,1),380(a,1,2))]. 443870 (x * a(y,z,u)) * L(w \ L(w,v5,v6),v7,v8) = x * (a(y,z,u) * L(w \ L(w,v5,v6),v7,v8)). [para(396752(a,1),24271(a,1,2,1))]. 443873 L(x * ((y * x) \ y),a(z,u,w),v5) = x * ((y * x) \ y). [para(25395(a,1),396752(a,1,1,2)),rewrite([221988(6),25395(10),221988(11)])]. 443899 L((x \ y) * (y \ x),a(z,u,w),v5) = (x \ y) * (y \ x). [para(170410(a,2),396752(a,1,1,2)),rewrite([170410(6),304101(5),24263(4),50(5),304101(10),24263(9),50(10)])]. 443901 (a(x,y,z) \ u) * (w \ L(w,v5,v6)) = u * (a(x,y,z) \ (w \ L(w,v5,v6))). [para(396752(a,1),76184(a,1,2)),rewrite([6706(3),397148(4),6706(8),397122(11)])]. 443902 ((x \ L(x,y,z)) * u) * T(w,u) = w * (u * (x \ L(x,y,z))). [para(396752(a,1),205590(a,2,1,1)),rewrite([381213(3),443857(5),296921(5)]),flip(a)]. 443932 a(x,y,z) * ((u \ L(u,w,v5)) * (a(x,y,z) \ v6)) = a(x,y,z) * (v6 * (a(x,y,z) \ (u \ L(u,w,v5)))). [back_rewrite(349737),rewrite([443901(6)]),flip(a)]. 443995 L(x,a(y,y,z) * z,u) = L(x,L(z,y,y),u). [para(85130(a,1),394477(a,1,2)),flip(a)]. 443999 L(x,y * (a(z,u,w) \ v5),v6) = L(x,y * (v5 * a(z,u,w)),v6). [para(135397(a,1),394477(a,1,2)),rewrite([397483(4),394477(9),399105(10),398835(11)])]. 444017 L(x,y \ (a(z,u,w) \ 1),v5) = L(x,y * a(z,u,w),v5). [para(401861(a,1),394477(a,2,2)),rewrite([403189(4),28057(7),68875(7),403185(9),441836(10),77774(10),77943(10)])]. 444036 L(((a(x,y,z) \ 1) / u) \ 1,u * a(x,y,z),a(x,y,z)) = u * a(x,y,z). [back_rewrite(441526),rewrite([444017(12)])]. 444074 (x \ a(y,z,u)) * (a(y,z,u) \ (x * x)) = L(x,x,a(y,z,u)). [hyper(5142,a,399659,a(flip),b,157346,a),rewrite([337(4),303918(6),6706(4),397641(6),28083(10)])]. 444081 L(a(x,y,z) \ 1,u,u) \ 1 = u \ ((1 / u) \ a(x,y,z)). [hyper(5083,a,399659,a(flip),b,158113,a),rewrite([413447(10),389275(9)]),flip(a)]. 444125 ((1 / x) \ a(y,z,u)) * L(w,x,a(y,z,u)) = a(y,z,u) * (L(x,x,a(y,z,u)) * w). [para(399659(a,1),24258(a,1,1)),rewrite([394205(8),561(12)])]. 444152 ((1 / x) \ a(y,z,u)) \ (w * L(x,x,a(y,z,u))) = (a(y,z,u) * x) \ (w * x). [para(399659(a,1),11972(a,2,1)),rewrite([6174(4),394737(3),339647(7),386623(5)]),flip(a)]. 444180 L(x,y,a(z,u,w)) * ((1 / y) \ a(z,u,w)) = (x * L(y,y,a(z,u,w))) * a(z,u,w). [para(399659(a,1),401(a,1,2)),rewrite([393579(4),394205(4)])]. 444187 a(x * (L(y,y,a(z,u,w)) * v5),v6,v7) = a(x * ((a(z,u,w) * ((1 / y) \ a(z,u,w))) * v5),v6,v7). [para(399659(a,1),130748(a,1,1,2,1,2)),rewrite([400178(14)]),flip(a)]. 444200 (x \ L(x,y,z)) \ a(u,w,v5) = (L(x,y,z) \ x) * a(u,w,v5). [para(91470(a,1),399659(a,2,1)),rewrite([165220(6),395874(6),304759(8)]),flip(a)]. 444206 (x \ (((a(y,z,u) \ x) \ 1) \ x)) * a(y,z,u) = (1 / (a(y,z,u) \ x)) \ a(y,z,u). [para(381(a,2),399659(a,1,1)),rewrite([211789(7),212134(5)])]. 444246 (x * L(x,x,a(y,z,u))) * a(y,z,u) = a(y,z,u) * (x * L(x,x,a(y,z,u))). [para(399659(a,1),7751(a,1,1)),rewrite([444125(7),13654(4),401861(11),403185(11),444180(12)]),flip(a)]. 444250 (L(x,y,z) \ x) \ a(u,w,v5) = (x \ L(x,y,z)) * a(u,w,v5). [para(305594(a,2),399659(a,1,1)),rewrite([82976(4),82976(9),305594(10),395248(6),293004(8),305132(8)]),flip(a)]. 444255 (x \ (L(x,y,z) \ 1)) \ a(u,w,v5) = (x * L(x,y,z)) * a(u,w,v5). [para(305146(a,2),399659(a,1,1)),rewrite([395248(7),354134(4),323(3),51(3),309024(6),305149(8)]),flip(a)]. 444295 (a(x,y,z) * (u * L(u,u,a(x,y,z)))) / L(u,u,a(x,y,z)) = (1 / u) \ a(x,y,z). [back_rewrite(403742),rewrite([444180(7),444246(5)])]. 444432 L(x,(a(y,z,u) \ w) * v5,v6) = L(x,a(y,z,u) * (w * v5),v6). [para(444152(a,2),25426(a,1,2,1)),rewrite([6706(3),61612(5),5524(7),22473(6),413070(4),101346(6),51(6),384828(8)])]. 444812 L(x,y,z * (u * L(a(w,v5,v6),v7,v8))) = L(x,y,a(w,v5,v6) * (z * u)). [para(7687(a,2),384778(a,1,3)),rewrite([383773(3),12121(8)])]. 444830 L(x,y,L(L(a(z,u,w),v5,v6),v7,v8)) = L(x,y,a(z,u,w)). [para(310694(a,1),384778(a,1,3)),rewrite([389273(6),383745(7),17060(5),389275(4),83591(8),210057(6),388661(9),394583(8),26414(11),83591(9),339196(7)])]. 444850 R(x * ((y * x) \ y),z,u) = L(x * ((y * x) \ y),z,u). [para(25395(a,1),381213(a,1,1,2)),rewrite([221988(6),25395(9),221988(10)])]. 444867 R((x \ y) * (y \ x),z,u) = L((x \ y) * (y \ x),z,u). [para(170410(a,2),381213(a,1,1,2)),rewrite([170410(6),304101(5),24263(4),50(5),304101(9),24263(8),50(9)])]. 444907 L((x \ y) * (y \ x),(x \ y) * (y \ x),z) = z / (((y \ x) \ ((x \ y) \ 1)) * z). [back_rewrite(348695),rewrite([444867(7)])]. 444996 R(x,L(y \ L(y,z,u),w,v5),L(y,w,v5)) = L(x,L(y,w,v5),L(y * L(y,z,u),w,v5)). [hyper(5081,a,70578,a,b,380247,a),rewrite([422299(8),70578(7),305327(9)]),flip(a)]. 445036 R(x,L(y \ L(y,z,u),w,v5),R(y \ K(v6,v7),w,v5)) = L(x,R(y,w,v5),L(y * L(y,z,u),w,v5)). [para(210404(a,2),380247(a,2,3)),rewrite([304458(8),304101(6),5754(3),26458(5),5784(4),26458(19),201268(18),213773(20),422288(19),285506(18),422300(16),273881(14)])]. 445553 L(a(x,y,z) \ ((u \ 1) \ w),u,u) = u * (u * (a(x,y,z) \ (u \ w))). [para(432889(a,1),61614(a,1,1)),rewrite([420975(14),397591(14)])]. 446061 T(x * K(x * ((y / z) * u),x),y * (z \ u)) = R(x,y * (z * u),x). [hyper(295,a,1735,a(flip),b,424242,a),rewrite([216479(3),418330(3)]),flip(a)]. 446066 T((x / y) * z,x * (y \ z)) = (x / y) * z. [hyper(295,a,409,a(flip),b,424242,a),flip(a)]. 446077 K((x / y) * z,u) = K(x * (y \ z),u). [hyper(5142,a,424242,a(flip),b,86499,a),rewrite([424299(4),424242(10),231574(11),335(10),49(5)]),flip(a)]. 446086 T(x,R(y,z,u) * w) = T(x,y * w). [para(57(a,1),424242(a,1,2,1)),rewrite([416469(9),381302(9),51(7),381302(7),51(5)])]. 446102 T(x,T(y,z * (u \ w)) * ((z / u) * w)) = T(x,z * (u \ (w * y))). [para(424242(a,1),220(a,1,2,1)),rewrite([381302(11),424242(11)])]. 446104 K(x,y * (z \ (u * w))) = K(x,y * ((z \ u) * w)). [para(424242(a,1),229(a,1,2,1)),rewrite([424414(7),229(7),377524(4),377524(8),423582(8)]),flip(a)]. 446114 T(x,y * (T(z,z \ y) \ u)) = T(x,(z \ y) * u). [para(2244(a,1),424242(a,1,2,1)),flip(a)]. 446191 T(x,y * ((z \ L(u,w,v5)) * K(v6,v7))) = T(x,y * ((z \ u) * K(v6,v7))). [para(33598(a,2),424242(a,1,2)),rewrite([33598(6),380545(6),424242(5),41109(3),95634(9)]),flip(a)]. 446271 T(x,y * (z \ (u \ 1))) = T(x,y / (u * z)). [para(214198(a,2),424242(a,1,2)),rewrite([214198(3),123794(5),35837(3)]),flip(a)]. 446278 T(x,y * ((z / u) * w)) = T(x,y * (z * (u \ w))). [para(230094(a,1),424242(a,1,2,1)),rewrite([381302(4),423152(10),381302(8)])]. 446291 T(x,y * (R(y,z,u) \ w)) = T(x,w). [para(287722(a,1),424242(a,1,2,1)),rewrite([416117(4)]),flip(a)]. 446294 T(x,y * (R(T(z,z \ y),u,w) \ v5)) = T(x,(R(z,u,w) \ y) * v5). [para(289990(a,1),424242(a,1,2,1)),flip(a)]. 446304 T(x,y / T(z,T(u,w))) = T(x,y / T(z,u)). [para(43136(a,1),424242(a,1,2)),rewrite([352599(9),123770(8)])]. 446324 K(x * ((y / z) * u),w) = K(x * (y * (z \ u)),w). [para(424242(a,1),2530(a,1,2)),rewrite([36703(7),371251(7),446077(7),26985(7),406722(6),36693(6),371251(4)]),flip(a)]. 446354 K((x * y) / z,u) = K(x * (y / z),u). [back_rewrite(369461),rewrite([446077(5),26985(5),374774(4)])]. 446432 T(x,R(y,z,u) \ w) = T(x,y \ w). [back_rewrite(414409),rewrite([446086(8),416082(7),416469(5),51(4)])]. 446511 T(x,y * R(z,u,w)) = T(x,y * z). [back_rewrite(2498),rewrite([446086(4),220(3)]),flip(a)]. 446621 K(x,y * ((x \ z) * u)) = K(x,y * (z * (x \ u))). [back_rewrite(412045),rewrite([446104(4)])]. 446684 T(x,T(y * (z \ L(u,w,v5)),v6)) = T(x,T(y * (z \ u),v6)). [back_rewrite(425555),rewrite([446191(8),7772(7)]),flip(a)]. 446950 T(x,y * (z \ (u * w))) = T(x,y * ((z \ u) * w)). [back_rewrite(446102),rewrite([446278(7),220(7),381302(4)]),flip(a)]. 446964 (x * y) * (R(T(x,y),z,u) \ w) = (y * x) * (R(x,z,u) \ w). [back_rewrite(298776),rewrite([446291(5)])]. 446977 T(x,y / T(x,z)) = T(x,x \ y). [back_rewrite(119477),rewrite([446304(4)])]. 446992 R(x,y * (z \ u),x) = R(x,y * (z * u),x). [back_rewrite(446061),rewrite([446324(4),1735(8)])]. 447119 K((x \ y) * (x / z),u) = K(T(y,x) / z,u). [back_rewrite(434704),rewrite([446354(4)])]. 447178 K((x \ y) * z,T(u,x)) = K(y * (z / x),u). [back_rewrite(374774),rewrite([446354(7)])]. 447186 K(x * (y \ a(z,u,w)),v5) = K(x / y,v5). [back_rewrite(374325),rewrite([446354(4),384019(4)]),flip(a)]. 447377 T(x,(R(y * z,u,w) \ y) * v5) = T(x,z \ v5). [back_rewrite(404545),rewrite([446432(5),405411(4),408316(4)]),flip(a)]. 447397 (R(T(x,y),z,u) \ w) \ (v5 * (R(x,z,u) \ w)) = T(K(x,y) * v5,x \ w). [back_rewrite(290829),rewrite([446432(12),104847(12)])]. 447422 L(T(x,y \ 1),R(y,z,u),L(y,z,u)) = R(y,z,u) * (x * (R(y,z,u) \ 1)). [back_rewrite(209182),rewrite([446432(4)])]. 447434 T(x,y \ (R(z,u,w) \ v5)) = T(x,y \ (z \ v5)). [back_rewrite(151406),rewrite([446432(5),12444(4)]),flip(a)]. 447465 T(x,(y \ R(z,u,w)) * v5) = T(x,(y \ z) * v5). [back_rewrite(417616),rewrite([446511(5),414239(4)]),flip(a)]. 447523 T(x,T((y \ L(z,u,w)) * v5,v6)) = T(x,T((y \ z) * v5,v6)). [back_rewrite(434247),rewrite([446684(7),434248(6)]),flip(a)]. 447641 T(x,y * ((z \ u) \ w)) = T(x,y * ((u \ z) * w)). [back_rewrite(416498),rewrite([446950(8)])]. 447882 T(x,y * (R(z,u,w) \ v5)) = T(x,y * (z \ v5)). [back_rewrite(404543),rewrite([447377(8),12024(5),405411(5),324(2)]),flip(a)]. 447912 T(x,x \ (x \ y)) \ y = (x \ (x \ y)) * x. [back_rewrite(289592),rewrite([447434(4)])]. 448090 T(x,(R(y,z,u) \ w) * v5) = T(x,(y \ w) * v5). [back_rewrite(446294),rewrite([447882(6),446114(5)]),flip(a)]. 448430 T(x,T(K(y,z) / u,w)) = T(x,T(u \ K(y,z),w)). [para(32556(a,1),416876(a,1,2,1)),rewrite([416876(8),12023(4),36711(8),49(6),128476(6),11961(8),49(7),36711(10),9827(10)])]. 448437 T(x,T(y,z) \ K(u,w)) = T(x,T(y \ K(u,w),z)). [para(41117(a,1),416876(a,1,2,1)),rewrite([12023(5),123794(6),75559(4),12023(9),1039(6),108738(10),36491(10),128476(10),448430(8)])]. 449329 T((a(x,y,z) \ u) \ a(w,v5,v6),u) = a(w,v5,v6) / (a(x,y,z) \ u). [hyper(295,a,413546,a(flip),b,385657,a),flip(a)]. 449358 R(a(x,y,z) \ u,w,v5) * T(v6,u) = v6 * R(a(x,y,z) \ u,w,v5). [para(385657(a,1),7984(a,1,2))]. 449383 (a(x,y,z) \ u) \ a(x,y,z) = a(x,y,z) * (u \ a(x,y,z)). [back_rewrite(429324),rewrite([449329(5),439285(4),394727(5)]),flip(a)]. 449524 (x \ (x \ a(y,z,u))) * x = a(y,z,u) / x. [hyper(295,a,413529,a,b,447912,a),rewrite([396112(5),71537(5),403185(6),337(4),413633(6)]),flip(a)]. 449654 L(T(x,x \ (x \ y)),z,u) \ y = (x \ (L(x,z,u) \ y)) * x. [para(60(a,1),447912(a,1,1)),rewrite([408210(5),354134(3),408210(4),379249(11)])]. 449689 (a(x,y,a(z,u,w)) / v5) * a(v6,v7,a(v8,v9,v10)) = a(x,y,a(z,u,w)) * (a(v6,v7,a(v8,v9,v10)) / v5). [para(447912(a,1),13034(a,1,1)),rewrite([449524(5),396112(13),71537(12),420286(15)])]. 450137 ((a(x,y,z) \ u) * w) * T(v5,u * w) = v5 * ((a(x,y,z) \ u) * w). [para(447912(a,2),392537(a,2,2,1)),rewrite([51(6),398206(8),416594(9),390900(7),386876(12),385657(10),547(8)])]. 450150 L(x \ a(y,z,u),a(y,z,u) * x,a(y,z,u) * x) = a(y,z,u) / x. [para(413529(a,1),447912(a,1,1,2,2)),rewrite([68893(11),425307(10),121349(8),426086(8),338140(10),413529(6),402348(6),256260(5),413529(12),68893(9),89886(12),204273(9),214508(9),82013(9),441836(9),441917(9)]),flip(a)]. 450208 T(x,y * (z \ (u \ L(w,v5,v6)))) = T(x,y * (z \ (u \ w))). [hyper(295,a,424242,a(flip),b,416403,a),rewrite([424242(9)])]. 450242 K(x,y * ((z \ L(u,w,v5)) * v6)) = K(x,y * ((z \ u) * v6)). [para(416403(a,1),229(a,1,2,1)),rewrite([425564(8),229(7),377524(4),377524(9)]),flip(a)]. 450312 T(x,y * (z * (u \ L(w,v5,v6)))) = T(x,y * (z * (u \ w))). [para(416403(a,1),4758(a,1,2)),rewrite([128059(8),434834(8),40430(8),434834(7),447523(7),115799(6),381302(4)]),flip(a)]. 451313 T((x \ a(y,z,u)) \ a(w,v5,v6),x \ 1) = (a(y,z,u) / x) \ a(w,v5,v6). [hyper(295,a,413546,a(flip),b,385459,a),rewrite([426134(4)]),flip(a)]. 451340 T(x \ a(y,z,u),T(w,x)) = T(x \ a(y,z,u),w). [para(385459(a,1),196(a,1,2)),rewrite([36711(6),49(4)])]. 451424 a(L(x,x,y * z) * (z * y),u,w) = a(x \ (y * z),u,w). [hyper(295,a,46791,a,b,403505,a)]. 451522 a(L(x,y,a(z,u,w)) \ v5,v6,v7) = a(x \ v5,v6,v7). [para(394205(a,1),403505(a,1,1,1)),rewrite([394189(5),401861(2),12554(4),68848(4)]),flip(a)]. 451597 a(x * (y \ L(z \ 1,u,w)),v5,a(v6,v7,v8)) = a(x * (y \ L(z,u,w)),v5,a(v6,v7,v8)). [para(157346(a,2),396225(a,1,1)),rewrite([22473(4),158019(5),158137(7),395380(5)]),flip(a)]. 451620 a(a(x,y,z) * (u \ w),v5,a(v6,v7,v8)) = a(a(x,y,z) * (u * w),v5,a(v6,v7,v8)). [para(397290(a,2),396225(a,1,1,1)),rewrite([397290(5),158137(8),421519(6),451597(13),421155(11)]),flip(a)]. 451678 a((x \ y) * z,a(u,w,v5),v6) = a(y * (x * z),a(u,w,v5),v6). [para(11892(a,1),396598(a,1,1)),rewrite([396643(4),396643(8)]),flip(a)]. 451681 a((x * y) * z,a(u,w,v5),v6) = a(y * (x \ z),a(u,w,v5),v6). [para(60487(a,1),396598(a,1,1)),rewrite([396643(4),396643(8)])]. 451686 a(x * R(x,y,z),a(u,w,v5),v6) = 1. [para(256868(a,1),396598(a,1,1)),rewrite([397055(3),396643(5),11009(3)]),flip(a)]. 451713 a(x * a(y,z,x),a(u,w,v5),v6) = a(x,a(u,w,v5),v6). [back_rewrite(397052),rewrite([451681(8),54(5)])]. 451734 L(x \ R(x,y,z),a(u,w,v5),v6) = x \ R(x,y,z). [back_rewrite(396738),rewrite([451686(4),48(4)]),flip(a)]. 451764 (x * a(y,z,u)) * (w \ R(w,v5,v6)) = x * (a(y,z,u) * (w \ R(w,v5,v6))). [para(451734(a,1),380(a,1,2))]. 451789 (a(x,y,z) \ u) * (w \ R(w,v5,v6)) = u * (a(x,y,z) \ (w \ R(w,v5,v6))). [para(451734(a,1),76184(a,1,2)),rewrite([6706(3),397148(4),6706(8),397122(11)])]. 451820 (x \ R(x,y,z)) * (a(x,y,z) \ u) = u * (a(x,y,z) \ (x \ R(x,y,z))). [back_rewrite(266049),rewrite([451789(5)]),flip(a)]. 452136 (x \ L(a(y,z,u),w,v5)) / (x \ a(y,z,u)) = a(a(y,z,u),w,v5). [hyper(5142,a,269440,a(flip),b,398604,a),rewrite([26458(4),173580(5),421109(10),398777(11),178495(10),7726(9),77(8),49(7)])]. 452144 x / L(L(a(y,z,u),w,v5),v6,v7) = L(L(a(y,z,u),w,v5),v6,v7) \ x. [hyper(5142,a,398604,a,b,288825,a),rewrite([400018(7),386845(6),63(3),382507(2),63(7),382507(6)])]. 452163 a(x,y,a(z,u,w)) * (L(a(z,u,w),y,x) * v5) = v5 * a(z,u,w). [hyper(5083,a,13542,a,b,398604,a),rewrite([70(4),48(7),388135(6)])]. 452171 (L(L(a(x,y,z),u,w),v5,v6) \ 1) * a(x,y,z) = a(w,u,a(x,y,z)) * a(v6,v5,a(x,y,z)). [hyper(5083,a,106454,a(flip),b,398604,a),rewrite([452144(9),159097(10),306590(8),382653(6),5530(5),388135(6),49(6),388135(5)]),flip(a)]. 452194 L(a(x,y,z),u,w) \ a(v5,v6,a(x,y,z)) = L(L(a(x,y,z),u,w),v6,v5) \ 1. [hyper(5083,a,398604,a,b,106454,a(flip)),rewrite([452171(11),389301(10),452144(10)])]. 452196 a(a(x,y,z),u,w) * (v5 \ a(x,y,z)) = v5 \ L(a(x,y,z),u,w). [hyper(5083,a,398604,a,b,68101,a(flip)),rewrite([68101(9),113537(10),215220(9)])]. 452201 L(x,y,a(z,u,w)) \ ((y * x) * L(a(z,u,w),v5,v6)) = T(y * L(a(z,u,w),v5,v6),x). [hyper(5081,a,204808,a,b,398604,a),rewrite([421109(3),385017(12),385056(13),7733(12),383788(11)])]. 452214 L(a(x,y,z),u,w) * T(v5,v6) = T(v5 * L(a(x,y,z),u,w),v6). [hyper(5081,a,845,a,b,398604,a),rewrite([6174(5),561(4),385017(9),385056(10),7733(9),383788(8)])]. 452264 a(x,L(a(y,z,u),w,v5) * v6,v7) = a(x,v6 * a(y,z,u),v7). [para(398604(a,2),14794(a,1,2)),rewrite([398604(5),419497(4)]),flip(a)]. 452268 x * L(a(y,z,u),w,v5 \ v6) = x * L(a(y,z,u),w,v6 * v5). [para(13992(a,1),398604(a,1,1)),rewrite([413120(3),398604(6),28466(8)]),flip(a)]. 452276 a(x * L(a(y,z,u),w,v5),v6,v7) = a(x * a(y,z,u),v6,v7). [para(398604(a,1),20152(a,1,1))]. 452283 a(x,y,z * L(a(u,w,v5),v6,v7)) = a(x,y,z * a(u,w,v5)). [para(398604(a,1),22365(a,1,3))]. 452287 L(x,y * L(a(z,u,w),v5,v6),v7) = L(x,y * a(z,u,w),v7). [para(398604(a,1),24266(a,1,1,2)),rewrite([5533(12),7730(11),383761(10),56(10),5533(9),20234(10)])]. 452327 (L(a(x,y,z),u,w) * v5) \ L(a(x,y,z),u,w) = (v5 * L(a(x,y,z),u,w)) \ L(a(x,y,z),u,w). [para(398604(a,2),57973(a,2,1)),rewrite([60(6),547(5),398604(11)])]. 452344 a(x,y,L(a(z,u,w),v5,v6) * v7) = a(x,y,v7 * a(z,u,w)). [para(398604(a,1),72848(a,2,3)),rewrite([388135(4),49(4),421274(5),277309(6),420808(4),452283(8)])]. 452392 (x * L(a(y,z,u),w,v5)) \ x = L(a(y,z,u),w,v5) \ 1. [para(398604(a,2),123722(a,1,1)),rewrite([398604(5),421109(8),150510(7),339196(7),400178(6)])]. 452396 a(L(x,y,y) * a(z,u,w),v5,v6) = a(L(x * a(z,u,w),y,y),v5,v6). [para(398604(a,1),130753(a,2,1)),rewrite([384979(7),452276(6),13808(5),399784(5),452276(9)]),flip(a)]. 452402 a(x * ((y * L(a(z,u,w),v5,v6)) * v7),v8,v9) = a(x * (v7 * (y * a(z,u,w))),v8,v9). [para(398604(a,1),102431(a,2,1,2,1)),rewrite([382507(8),5530(8),7733(6),46935(8)]),flip(a)]. 452453 (a(x,y,z) * L(a(x,y,z),u,w)) \ v5 = a(x,y,z) \ (L(a(x,y,z),u,w) \ v5). [para(398604(a,1),20865(a,1,1)),rewrite([388135(11),16927(12),413070(9),400742(12),388653(11),397922(12),354134(10)])]. 452461 (T(x * L(a(y,z,u),w,v5),v6) \ v7) * K(x,v6) = T((x * L(a(y,z,u),w,v5)) \ v7,K(x,v6)). [para(398604(a,1),252759(a,2,1,1)),rewrite([385056(6),7733(5),383788(4),384540(8),384540(14)])]. 452480 (x * L(a(y,z,u),w,v5)) / (v6 \ (x * a(y,z,u))) = a(a(y,z,u),w,v5) * v6. [para(398604(a,1),60485(a,1,1)),rewrite([5536(9)])]. 452503 a(a(x,y,z),u,w) * (v5 * (a(v6,v7,v8) \ a(x,y,z))) = (a(v6,v7,v8) \ v5) * L(a(x,y,z),u,w). [para(400742(a,1),398604(a,1,2))]. 452507 L(x,L(a(y,z,u),w,v5) * v6,v7) = L(x,v6 * a(y,z,u),v7). [para(398604(a,1),394477(a,2,2)),rewrite([400780(5),388135(4),389275(4),400701(7),277310(6),420764(4),452287(8)])]. 452531 a(x * (L(a(y,z,u),w,v5) * v6),v7,v8) = a(v6 * (x * a(y,z,u)),v7,v8). [back_rewrite(420841),rewrite([452276(5),13808(4)]),flip(a)]. 452532 a(L(a(x,y,z),u,w) \ v5,v6,v7) = a(v5 * a(x,y,z),v6,v7). [back_rewrite(420789),rewrite([452276(8)])]. 452539 a(x,y,L(a(z,u,w),v5,v6) \ v7) = a(x,y,v7 * a(z,u,w)). [back_rewrite(420808),rewrite([452344(8)])]. 452543 T(L(a(x,y,z),u,w) \ 1,v5) = L(a(x,y,z),u,w) \ 1. [back_rewrite(434006),rewrite([452392(9)])]. 452544 a(L(L(x,y,y),y,y),z,u) = a(x,z,u). [back_rewrite(261940),rewrite([452396(4),102537(2),133858(3)])]. 452565 a(x * (L(a(y,z,u),w,v5) \ v6),v7,v8) = a(v6 * (x * a(y,z,u)),v7,v8). [back_rewrite(420803),rewrite([452531(10)])]. 452581 ((L(a(x,y,z),u,w) * v5) \ a(x,y,z)) \ L(v5 \ 1,v5,a(x,y,z)) = a(a(x,y,z),u,w). [hyper(7088,a,25395,a,b,452196,a),rewrite([60(5),547(4),385459(8),12024(8),408210(8),386876(7),547(5),60(5),547(4),5537(10),70(9),339196(12)]),flip(a)]. 452664 (x \ a(y,z,u)) * a(a(y,z,u),w,v5) = x \ L(a(y,z,u),w,v5). [hyper(5142,a,452196,a,b,33711,a),rewrite([54735(6),385056(7),9510(10),73(9),75(9),74(9),55818(10),7726(8),358614(8),54735(4),385017(7),11427(9),77(8),408(7)])]. 452669 L(L(a(x,y,z),u,w),v5,v6) \ a(x,y,z) = a(w,u,a(x,y,z)) * a(v6,v5,a(x,y,z)). [hyper(5083,a,305132,a,b,452196,a),rewrite([305327(8),382653(6),5530(5),388135(6),49(6),388135(5)]),flip(a)]. 452674 L(x \ a(y,z,a(u,w,v5)),x,a(u,w,v5)) = (L(a(u,w,v5),z,y) * x) \ a(u,w,v5). [hyper(5083,a,25395,a,b,452196,a),rewrite([5537(5),70(4),339196(7),388135(7),17060(7),12981(5),60(8),547(7)])]. 452681 (L(L(a(x,y,z),u,w),v5,v6) \ 1) \ a(x,y,z) = a(x,y,z) * L(L(a(x,y,z),u,w),v5,v6). [hyper(5083,a,309068,a(flip),b,452196,a),rewrite([388135(9),452163(9),148178(5)]),flip(a)]. 452690 (a(x,y,z) / u) \ L(a(x,y,z),w,v5) = a(a(x,y,z),w,v5) * u. [hyper(5081,a,423165,a,b,452196,a),rewrite([423165(5),340(11)])]. 452716 a(x,y,a(z,u,w)) * (v5 \ a(z,u,w)) = v5 \ (L(a(z,u,w) \ 1,y,x) \ 1). [hyper(295,a,387235,a,b,452196,a),rewrite([398359(9),398679(9),5531(10),412918(10),394477(9),420938(9)])]. 452737 a(a(x,y,z),u,w) * ((v5 \ a(x,y,z)) * v6) = (v5 \ L(a(x,y,z),u,w)) * v6. [para(452196(a,1),7687(a,2,1)),rewrite([398893(5),39(5),48(8)])]. 452750 x \ L(a(y,z,u),w,v5 \ v6) = x \ L(a(y,z,u),w,v6 * v5). [para(13992(a,1),452196(a,1,1)),rewrite([413120(3),452196(6),28466(8)]),flip(a)]. 452753 a(a(x,y,z),u,w) * (v5 * (v6 \ a(x,y,z))) = v5 * (v6 \ L(a(x,y,z),u,w)). [para(452196(a,1),11786(a,1,2,2,2)),rewrite([381611(8),385459(7),386057(8),5536(11),452196(11)])]. 452758 a(x,y,z \ L(a(u,w,v5),v6,v7)) = a(x,y,z \ a(u,w,v5)). [para(452196(a,1),22365(a,1,3))]. 452762 L(x,y \ L(a(z,u,w),v5,v6),v7) = L(x,a(z,u,w) * y,v7). [para(452196(a,1),24266(a,1,1,2)),rewrite([5533(12),7730(11),452737(10),56(10),5533(9),20234(10),441836(7)])]. 452816 L(a(x,y,z),u,w) \ (v5 \ L(a(x,y,z),u,w)) = a(x,y,z) \ (v5 \ a(x,y,z)). [para(452196(a,2),95525(a,1,1,2)),rewrite([452196(5),421109(6),452762(5),441942(6),397922(12)]),flip(a)]. 452938 (a(x,y,z) \ u) * L(a(w,v5,v6),v7,v8) = u * (a(x,y,z) \ L(a(w,v5,v6),v7,v8)). [back_rewrite(452503),rewrite([452753(7)]),flip(a)]. 453109 a(x * (y * (a(z,u,w) * ((y \ x) \ v5))),v6,a(v7,v8,v9)) = a(a(z,u,w) * v5,v6,a(v7,v8,v9)). [para(385515(a,1),396158(a,1,1)),rewrite([428586(8),77731(12)]),flip(a)]. 453173 a(L(L(x,y,a(z,u,w)),v5,v6),v7,v8) = a(L(x,v5,v6),v7,v8). [para(350965(a,1),394213(a,1,1)),rewrite([394194(4),17022(4),394386(3),51(7)])]. 453188 L(a(x,y,z),u,w * R(w,v5,v6)) = a(x,y,z). [hyper(284,a,396441,a)]. 453269 a(a(x,y,z),u,(w * v5) * v6) = a(a(x,y,z),u,v5 * (w \ v6)). [hyper(295,a,395380,a,b,398680,a),rewrite([398680(6)])]. 453270 a(a(x,y,z),u,R(w,v5,v6)) = a(a(x,y,z),u,w). [hyper(295,a,395105,a,b,398680,a),rewrite([398680(5)])]. 453437 a(x,y,a(z,z,u) * u) = a(x,y,L(u,z,z)). [para(85130(a,1),398396(a,1,3)),flip(a)]. 453440 a(x,y,z * (a(u,w,v5) \ v6)) = a(x,y,z * (v6 * a(u,w,v5))). [para(135397(a,1),398396(a,1,3)),rewrite([397483(4),394477(9),399105(10),398835(11)])]. 453475 (x * (y \ a(a(z,u,w),v5,v6))) \ (x * (y \ 1)) = a(v6,v5,a(z,u,w)). [hyper(7088,a,214198,a,b,395254,a),rewrite([338685(8),394146(7),547(4),338685(8),214198(8)]),flip(a)]. 454054 (x * L(a(y,z,u) \ 1,w,v5)) \ (a(y,z,u) \ x) = a(v5,w,a(y,z,u)). [para(338014(a,2),453475(a,1,1,2)),rewrite([338014(6),398601(4),397148(9)])]. 454242 a(x,y,z \ (u \ a(a(w,v5,v6),v7,v8))) = a(x,y,z \ u). [hyper(295,a,22365,a,b,403612,a),rewrite([214394(6)])]. 454258 a(x,y,((z \ 1) * u) \ z) = a(x,y,(z * u) \ z). [para(72103(a,2),403612(a,1,3)),rewrite([72103(10),334991(8),96925(5),52483(10)]),flip(a)]. 454268 a(x,y,z \ (L(u,w,v5) \ u)) = a(x,y,z \ (u \ L(u,w,v5))). [para(91470(a,2),403612(a,1,3,2)),rewrite([91470(4),304759(4)]),flip(a)]. 454288 a(x,y,L(z,u,a(w,v5,v6))) = a(x,y,z). [para(394196(a,1),403612(a,2,3)),rewrite([386756(6),48(6),192637(6),72770(6)])]. 454297 a(x,y,L(L(z,u,a(w,v5,v6)),v7,v8)) = a(x,y,L(z,v7,v8)). [hyper(295,a,164061,a,b,454288,a)]. 454301 a(x,y,(a(z,u,w) * v5) \ v6) = a(x,y,v5 \ (a(z,u,w) \ v6)). [para(11892(a,1),454288(a,1,3))]. 454304 a(x,y,(z * a(u,w,v5)) \ v6) = a(x,y,z \ (a(u,w,v5) * v6)). [para(60487(a,1),454288(a,1,3)),rewrite([397561(8)]),flip(a)]. 454312 a(x,y,z \ a(u,w,v5)) = a(x,y,a(u,w,v5) * z). [para(437273(a,1),454288(a,1,3)),rewrite([398396(3),413503(7),72770(8),14988(6)]),flip(a)]. 454321 a(x,y,z \ (a(u,w,v5) \ v6)) = a(x,y,z \ (a(u,w,v5) * v6)). [back_rewrite(15573),rewrite([454301(4),454304(8)])]. 454322 a(x,y,(a(z,u,w) \ v5) \ v6) = a(x,y,v5 \ (a(z,u,w) * v6)). [back_rewrite(397561),rewrite([454304(8)])]. 454325 a(x,y,z \ L(a(u,w,v5),v6,v7)) = a(x,y,a(u,w,v5) * z). [back_rewrite(452758),rewrite([454312(7)])]. 454445 T(a(x,y,z) \ (u * w),w \ (u \ 1)) = (a(x,y,z) * ((u * w) \ a(x,y,z))) \ a(x,y,z). [para(397751(a,1),59166(a,2,1)),rewrite([397882(7),397876(7),443999(12),400742(9),323(8),49(7),61778(8),397122(5),449383(5),397882(17),397876(17),403603(16),397443(15),394146(16),386655(14),12024(14)]),flip(a)]. 454456 L(x,y,(a(z,u,w) \ v5) * v6) = L(x,y,a(z,u,w) * (v5 * v6)). [para(397751(a,1),20235(a,2,3)),rewrite([397805(7),83407(8)])]. 454501 a(x,y,z) * (u * (w \ (a(x,y,z) \ 1))) = a(x,y,z) \ (u * (w \ a(x,y,z))). [para(268789(a,2),397751(a,1,2,2,2)),rewrite([561(6),393579(6),397476(7)])]. 454556 L(x,L(a(y,z,u),w,v5),v6) = L(x,a(y,z,u),v6). [para(394583(a,1),21231(a,1,2)),rewrite([28083(7),70578(5)])]. 454728 T(x * (a(y,z,u) \ K(x * w,x)),w) = a(y,z,u) \ R(x,w,x). [para(1735(a,1),394737(a,1,2)),rewrite([41109(8),397682(8)]),flip(a)]. 454832 R(a(x,y,z) \ u,w,a(x,y,z) * u) = a(x,y,z) \ R(u,w,u). [back_rewrite(430497),rewrite([454728(6)]),flip(a)]. 454873 L(a(x,y,z) \ 1,u,L(w,v5,v6)) = L(a(x,y,z) \ 1,u,w). [hyper(5081,a,209136,a,b,398601,a),rewrite([209136(5),395250(9),398601(9)])]. 454880 L(a(x,y,z),u,w) \ L(a(x,y,z) \ 1,v5,v6) = a(x,y,z) \ L(L(a(x,y,z),u,w) \ 1,v5,v6). [hyper(5083,a,398601,a(flip),b,62943,a),rewrite([382507(2),382507(10),399114(13)])]. 454908 a(x,y,z) \ L(L(a(x,y,z),u,w),v5,v6) = a(a(x,y,z),u,w) * a(a(x,y,z),v5,v6). [para(398601(a,1),159652(a,1,1,2)),rewrite([421412(7),400178(8),81685(13),397148(12),398601(10),149084(12)]),flip(a)]. 455171 L(a(x,y,z),u,u) \ u = (a(x,y,z) \ 1) / (u \ 1). [hyper(5083,a,393579,a,b,407806,a),rewrite([393579(3),403189(4),382507(8)]),flip(a)]. 455274 R(x,x,y * L(y,z,u)) = L(x,x,y * L(y,z,u)). [hyper(5081,a,165303,a(flip),b,407806,a),rewrite([382630(8),380252(10),217133(6)]),flip(a)]. 455430 x * (R(T(x,y),z,z) \ z) = L(K(y,x) * z,z,x). [hyper(5083,a,407806,a(flip),b,7763,a),rewrite([25262(3),5754(3),26458(3)]),flip(a)]. 455575 L(x,L(R(y,z,z) \ z,y,y),u) = L(x,z \ y,u). [para(407806(a,1),25754(a,1,2,2)),rewrite([401861(2),28057(4),68875(4)]),flip(a)]. 455674 L(R(x,y,y) \ y,x,x) = (1 / x) / (y \ 1). [para(407806(a,1),22934(a,1,2)),rewrite([403179(4)]),flip(a)]. 455743 L(x,x,y) * R(y,x,x) = x * y. [para(407806(a,1),297511(a,1,1))]. 455829 L(x,y \ (z \ 1),u) = L(x,y \ z,u). [back_rewrite(455575),rewrite([455674(3),28057(6),239497(6),68875(6)])]. 456242 L(L(a(x,y,z) \ 1,u,w) \ 1,v5,v6) \ v7 = v7 * L(L(a(x,y,z),v5,v6) \ 1,u,w). [hyper(7088,a,53814,a(flip),b,420921,a),rewrite([452543(5),6174(14),408211(13),6743(11),561(8),378475(18),384632(17),15(15),49(15),408211(18),385657(17),408(15)]),flip(a)]. 456247 L(L(L(a(x,y,z),u,w),v5,v6) \ 1,v5,v6) = L(a(x,y,z),u,w) \ 1. [hyper(7088,a,420921,a,b,159097,a),rewrite([421324(11),6174(12),408211(11),6743(9),561(6),421324(11),420921(23),354781(21),269343(21),306590(17),382653(15),5530(14),388135(15),49(15),456242(14),17060(12),397922(11),452194(9)]),flip(a)]. 456248 L(L(a(x,y,z),u,w),v5,v6) \ a(a(x,y,z),v5,v6) = L(a(x,y,z),u,w) \ 1. [hyper(7088,a,420921,a,b,149540,a(flip)),rewrite([337(10),6174(8),6174(7),561(6),337(10),26414(24),339196(22),28083(21),150510(19),339196(19),400178(18),6743(17),145139(15),118297(13),69933(15),305327(13),382653(11),5530(10)]),flip(a)]. 456358 a(x,y,L(L(a(z,u,w),v5,v6),v7,v8) \ v9) = a(x,y,L(L(a(z,u,w),v5,v6),v7,v8) * v9). [para(420921(a,2),72848(a,1,3,1)),rewrite([420921(9),421324(7),421122(8),277309(7),158247(12)])]. 457449 x * L(L(y \ L(y,z,u),w,v5),L(y,w,v5),x) = L(L(y,w,v5),z,u) * (L(y,w,v5) \ x). [hyper(5081,a,406330,a,b,406028,a),rewrite([60(6),60(5),416087(7),305327(9)]),flip(a)]. 457450 x * L(y \ (z * L(z \ y,u,w)),y \ z,x) = L(y \ z,u,w) * ((y \ z) \ x). [hyper(5081,a,405377,a,b,406028,a),rewrite([60(7),404129(7),406298(8),304101(9)]),flip(a)]. 457452 x * L(L(y \ L(y,z,u),w,v5),R(y,w,v5),x) = L(R(y,w,v5),z,u) * (R(y,w,v5) \ x). [hyper(5081,a,103017,a,b,406028,a),rewrite([446432(5),323551(7),304458(9)]),flip(a)]. 457455 T(L(x,y,z) * ((x \ u) * K(w,u)),w) = L(x,y,z) * (x \ u). [hyper(5081,a,235,a,b,406028,a),rewrite([376915(7),51(5),7726(5),406028(10)])]. 457471 (1 / x) * L(y \ L(y,z,u),y,x) = L(y,z,u) * (y \ (1 / x)). [hyper(295,a,60426,a,b,406028,a),rewrite([26402(5),26414(5),60426(5)])]. 457477 (x \ L(x,y,z)) * a(u,w,v5) = L(x,y,z) * (x \ a(u,w,v5)). [hyper(295,a,15040,a,b,406028,a),rewrite([395248(4)])]. 457478 L(x \ L(x,y,z),x,u) * u = L(x,y,z) * (x \ u). [hyper(295,a,13542,a,b,406028,a),rewrite([378715(3),323(1),319(2),48(6)])]. 457491 L(x \ L(x,y,z),x,u * L(u,w,v5)) * (u \ L(u,w,v5)) = L(x,y,z) * (x \ (u \ L(u,w,v5))). [hyper(295,a,102113,a(flip),b,406028,a),rewrite([83146(5)])]. 457529 a(x,y,z) * (u \ (a(x,y,z) \ L(u,w,v5))) = u \ L(u,w,v5). [hyper(7088,a,406028,a(flip),b,15040,a),rewrite([395248(4),561(4),400736(8)]),flip(a)]. 457631 L(x,y,z) \ (a(u,w,v5) \ (x \ L(x,y,z))) = x \ (a(u,w,v5) \ 1). [hyper(5083,a,397122,a(flip),b,406028,a(flip)),rewrite([26414(8),395248(6)])]. 457659 L(K(x,y) * (z \ L(z,u,w)),z,x) = x \ (L(z,u,w) * (z \ T(x,y))). [hyper(5083,a,406028,a(flip),b,7753,a),rewrite([25262(10),26458(10)]),flip(a)]. 457687 L(x \ T(x * (y \ L(y,z,u)),w),y,x) = x \ T(L(y,z,u) * (y \ x),w). [para(406028(a,1),219(a,2,2,1)),rewrite([377872(10),219(9)])]. 457771 L(L(x \ L(x,y,z),x,u),u,u) = u * (L(x,y,z) * (x \ (u \ 1))). [para(406028(a,1),61613(a,1,2)),rewrite([26414(11)]),flip(a)]. 457774 L((x \ 1) \ y,z,u) * (((x \ 1) \ y) \ w) = L(x \ y,z,u) * ((x \ y) \ w). [para(68847(a,2),406028(a,1,2,1)),rewrite([25944(7),66364(6),50(3),304101(4),68875(8),457450(7)]),flip(a)]. 457786 L(L(x \ 1,y,z),u,w) * (L(x \ 1,y,z) \ v5) = L(L(x,y,z),u,w) * (L(x,y,z) \ v5). [para(70578(a,1),406028(a,1,2)),rewrite([305327(8),304101(6),324(3),48(3),457449(6)]),flip(a)]. 457844 T(L(x,y,z) * (x \ u),u) = L(x,y,z) * (x \ u). [para(406028(a,1),24832(a,2,1)),rewrite([370501(7),372987(6),13654(5),416438(6),392(5),457478(4)]),flip(a)]. 457848 x * L(y * (L(y,z,u) \ L(y \ L(y,z,u),w,v5)),y * L(y,z,u),x) = L(L(y,z,u) \ y,w,v5) * ((L(y,z,u) \ y) \ x). [para(91470(a,2),406028(a,1,2,1)),rewrite([91470(6),304101(6),162681(6),165220(9)])]. 457856 x * (L(x,y,z) * L(u \ L(u,w,v5),u,x)) = L(x,y,z) * (L(u,w,v5) * (u \ x)). [para(406028(a,1),158808(a,1,2)),flip(a)]. 457918 (L(x,y,z) * (x \ (1 / u))) * u = u * (L(x,y,z) * (x \ (u \ 1))). [para(406028(a,1),278051(a,1,2,1)),rewrite([457844(6),306413(6),457471(12)]),flip(a)]. 457930 x \ (L(y \ L(y,z,u),y,x) * ((y \ L(y,z,u)) \ x)) = a(y,y * L(y,z,u),y \ x). [para(406028(a,1),304426(a,1,2)),rewrite([343528(7)]),flip(a)]. 457931 L(L(x,y,z) \ x,u,w) * ((L(x,y,z) \ x) \ v5) = L(x \ L(x,y,z),u,w) * ((x \ L(x,y,z)) \ v5). [para(305594(a,2),406028(a,1,2,1,2)),rewrite([305594(6),304101(6),158527(6),159344(6),304483(6),82976(9),457848(10)])]. 457932 (L(x,y,z) \ 1) * L(x \ L(x,u,w),v5,v6) = L(x,y,z) \ L(x \ L(x,u,w),v5,v6). [para(310845(a,1),406028(a,2,2)),rewrite([304101(11),324(8),48(8),305327(7),26414(13),28083(11),310271(9),311010(15)])]. 457940 L(x \ (y * y),z,u) * L((x \ (y * y)) \ 1,w,v5) = L(x,z,u) * L(x \ 1,w,v5). [para(70572(a,1),406028(a,2,2)),rewrite([304101(8),25954(7),51(6),83146(9),28106(9),308033(7),304908(6),307667(5)]),flip(a)]. 457942 (x \ 1) * (L(y,z,u) * (y \ x)) = x * (L(y,z,u) * (y \ (1 / x))). [para(406028(a,1),66975(a,1,2)),rewrite([457471(12)])]. 457963 L(x * L(x \ K(y,z),u,w),x,y) = y \ (L(x,u,w) * (x \ T(y,z))). [para(406028(a,1),41141(a,2,2,1)),rewrite([457478(4),376166(4),51(2),26458(5),457659(5),376166(12),51(10),26653(10),70411(9)]),flip(a)]. 457991 L(x \ (y \ 1),z,u) * ((x \ (y \ 1)) \ w) = L(x \ y,z,u) * ((x \ y) \ w). [para(455829(a,1),406028(a,1,2)),rewrite([304101(8),70217(7),457450(7)]),flip(a)]. 458000 (L(x,y,z) \ x) \ a(u,w,v5) = L(x,y,z) * (x \ a(u,w,v5)). [back_rewrite(444250),rewrite([457477(8)])]. 458133 T(L(x,y,z) * (x \ a(u,w,v5)),v6) = L(x,y,z) * (x \ a(u,w,v5)). [hyper(5081,a,235,a,b,457477,a),rewrite([397155(9),188068(6),378715(7),323(5),319(6),49(6),457477(9)])]. 458181 (L(x,y,z) * (x \ a(u,w,v5))) * v6 = (x \ L(x,y,z)) * (a(u,w,v5) * v6). [para(457477(a,1),7687(a,2,1)),rewrite([396643(4),13654(2),396753(4),48(7)]),flip(a)]. 458182 (a(x,y,z) * (u \ L(u,w,v5))) * v6 = (u \ L(u,w,v5)) * (a(x,y,z) * v6). [para(457477(a,1),9670(a,1,1)),rewrite([378715(8),323(6),319(7),49(6),458181(5),70(14),408(12)]),flip(a)]. 458191 (L(x,y,z) * (x \ a(u,w,v5))) \ v6 = a(u,w,v5) \ ((x \ L(x,y,z)) \ v6). [para(457477(a,1),11892(a,2,1)),rewrite([83146(9),442517(9)]),flip(a)]. 458214 ((x \ L(x,y,z)) * u) / (L(x,y,z) * (x \ a(w,v5,v6))) = a(w,v5,v6) \ u. [para(457477(a,1),21093(a,1,2,1)),rewrite([385657(10),458133(8),83146(14),442517(14)])]. 458240 L((x \ a(y,z,u)) \ 1,a(y,z,u) * x,L(x,w,v5)) = a(y,z,u) \ x. [para(457477(a,2),12004(a,2,1)),rewrite([441836(8),457477(12),458191(14),411(13,R),381611(12),323(10),408(11)])]. 458244 (a(x,y,z) \ u) \ L(u,w,v5) = L(u,w,v5) * (u \ a(x,y,z)). [para(457477(a,2),57662(a,2)),rewrite([441836(9),458240(9),423165(4),6706(2),457477(8)])]. 458269 L(a(x,y,z),u * L(u,w,v5),v6) = a(x,y,z). [para(457477(a,1),1153(a,2,1,1)),rewrite([70(5),49(3),382507(4),82976(4),458181(9),15366(13),83146(8),399662(8)])]. 458270 L(x,y * L(y,z,u),a(w,v5,v6)) = x. [para(457477(a,1),1153(a,2,2)),rewrite([377063(3),323(1),15(2),49(2),393579(4),82976(4),399916(9),458214(14),58(8),561(6)])]. 458276 x \ ((y \ L(y,z,u)) * (x * a(w,v5,v6))) = L(y,z,u) * (y \ a(w,v5,v6)). [para(457477(a,1),6662(a,2)),rewrite([393579(4),82976(4),458270(4),399934(5)])]. 458324 a(x,y,z) * ((u \ L(u,w,v5)) * (a(x,y,z) \ v6)) = (u \ L(u,w,v5)) * v6. [para(457477(a,1),204808(a,1,2,1)),rewrite([382507(4),82976(4),458269(4),458181(6),399504(7),561(11)])]. 458337 a(x,y * L(y,z,u),a(w,v5,v6)) = 1. [para(457477(a,1),256868(a,1,3)),rewrite([393579(4),82976(4),458270(4),323(1),379(6),64099(5)]),flip(a)]. 458359 x * (a(y,z,u) * (x \ L(x,w,v5))) = L(x,w,v5) * a(y,z,u). [para(457477(a,1),385515(a,2,2)),rewrite([188068(3),384121(5),350623(5),158113(10)])]. 458364 (x \ L(x,y,z)) * L(a(u,w,v5),v6,v7) = L(x,y,z) * (x \ L(a(u,w,v5),v6,v7)). [para(457477(a,1),398604(a,1,2)),rewrite([452753(7)]),flip(a)]. 458398 a(x,y,z) * (u * (w \ L(w,v5,v6))) = u * (a(x,y,z) * (w \ L(w,v5,v6))). [back_rewrite(349730),rewrite([458269(4)])]. 458400 a(x,y,z) * (u * (a(x,y,z) \ (w \ L(w,v5,v6)))) = (w \ L(w,v5,v6)) * u. [back_rewrite(443932),rewrite([458324(7)]),flip(a)]. 458405 (x \ L(x,y,z)) * (a(u,w,v5) * x) = L(x,y,z) * a(u,w,v5). [back_rewrite(350623),rewrite([458359(10)])]. 458505 L(a(x,y,z),u,w) * L(a(x,y,z),v5,v6) = a(x,y,z) * L(L(a(x,y,z),u,w),v5,v6). [hyper(295,a,297511,a(flip),b,458182,a),rewrite([382507(2),148178(5),382507(7),382507(9),305327(11),382653(9),5530(8),382507(10),384979(12)]),flip(a)]. 458506 (x \ L(x,y,z)) * T(u * a(w,v5,v6),v7) = T((x \ L(x,y,z)) * (u * a(w,v5,v6)),v7). [hyper(295,a,153474,a(flip),b,458182,a),rewrite([382507(4),82976(4),458269(4),385056(6),399916(5),376566(13),323(10),48(11),149(11),385056(11)]),flip(a)]. 458586 (a(x,y,z) / u) * L(u,w,v5) = a(x,y,z) * (u \ L(u,w,v5)). [hyper(5142,a,458182,a(flip),b,112669,a(flip)),rewrite([411(7,R),381611(6),323(4),408(5),458405(5),406980(4),188068(7)])]. 458608 (x \ L(x,y,z)) * T(u,w) = T((x \ L(x,y,z)) * u,w). [hyper(5083,a,458182,a(flip),b,204280,a),rewrite([382507(4),82976(4),458269(4),385056(6),458506(7),394737(8),397551(7),458324(7)]),flip(a)]. 458856 T(x,y) * (z \ L(z,u,w)) = T((z \ L(z,u,w)) * x,y). [back_rewrite(293094),rewrite([458608(8)])]. 458921 x \ T(x * (y \ L(y,z,u)),w) = y * L(y \ K(x,w),z,u). [back_rewrite(349797),rewrite([458856(4),175858(5)])]. 458972 x \ (L(y,z,u) * (y \ T(x,w))) = x \ T(L(y,z,u) * (y \ x),w). [back_rewrite(457687),rewrite([458921(5),457963(5)])]. 458986 K(x,y) * (x \ (L(z,u,w) * (z \ x))) = x \ T(L(z,u,w) * (z \ x),y). [back_rewrite(304883),rewrite([458972(11)])]. 459129 (x * a(y,z,u)) * (a(y,z,u) \ (w \ L(w,v5,v6))) = (w \ L(w,v5,v6)) * x. [hyper(5081,a,13287,a,b,458398,a),rewrite([385657(6),547(4),397573(7),6706(10),443901(13),458400(14)])]. 459171 a(x * L(x,y,z),u,w) * (x \ L(x,y,z)) = L(x \ L(x,y,z),u,w). [hyper(5083,a,101962,a(flip),b,458398,a(flip)),rewrite([381213(5),24258(6),458856(5),410(6),6713(6),292972(4),381213(3),64094(6)]),flip(a)]. 459174 a(x,y,z) \ ((u \ L(u,w,v5)) * v6) = v6 * (a(x,y,z) \ (u \ L(u,w,v5))). [hyper(5083,a,458398,a(flip),b,13288,a),rewrite([385657(4),547(2),6706(3),397573(8),459129(8),443901(10)])]. 459180 (x * y) \ (x * (a(z,u,w) * (y * (v5 \ L(v5,v6,v7))))) = L(a(z,u,w) * (v5 \ L(v5,v6,v7)),y,x). [para(458398(a,2),56(a,1,2,2))]. 459363 (x * (y \ L(y,z,u))) * T(w,x) = w * (x * (y \ L(y,z,u))). [para(458398(a,1),203630(a,2,2,2)),rewrite([382507(5),15117(12),450312(13),323(9),49(10),385118(10)]),flip(a)]. 459446 x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)) = a(x * L(x,y,z),u,w). [hyper(273,a,413291,a,b,458269,a)]. 459453 L(a(x,y,z),L(u * L(u,w,v5),v6,v7),v8) = a(x,y,z). [para(63(a,2),458269(a,1,2,2)),rewrite([63(4),422274(6)])]. 459470 (x * (y * L(y,z,u))) * a(w,v5,v6) = x * ((y * L(y,z,u)) * a(w,v5,v6)). [para(458269(a,1),380(a,1,2))]. 459548 L(x,y,z) * L(L(x,y,z) \ x,u,w) = a(x * L(x,y,z),u,w) * x. [back_rewrite(422200),rewrite([459446(6)]),flip(a)]. 459556 L(x \ L(x,y,z),u,w) \ a(x * L(x,y,z),u,w) = L(x,y,z) \ x. [back_rewrite(349606),rewrite([459446(9)])]. 459557 L(x * L(x,y,z),u,w) \ (x * L(x,y,z)) = a(x * L(x,y,z),u,w) \ 1. [back_rewrite(346834),rewrite([459446(7),6706(5)]),flip(a)]. 459567 (L(x,y,z) \ x) * a(x * L(x,y,z),u,w) = L(L(x,y,z) \ x,u,w). [back_rewrite(306145),rewrite([459446(8)])]. 459571 L(x \ L(x,y,z),u,w) * (L(x,y,z) \ x) = a(x * L(x,y,z),u,w). [back_rewrite(305780),rewrite([459446(12)])]. 459572 L(x,y,z) * (x \ a(x * L(x,y,z),u,w)) = L(x \ L(x,y,z),u,w). [back_rewrite(305725),rewrite([459446(8),458000(6)])]. 459579 (x * L(x,y,z)) * a(x * L(x,y,z),u,w) = L(x * L(x,y,z),u,w). [back_rewrite(305145),rewrite([459446(10),444255(8)])]. 459580 (x * L(x,y,z)) \ a(x * L(x,y,z),u,w) = L(x \ (L(x,y,z) \ 1),u,w). [back_rewrite(305144),rewrite([459446(8)])]. 459588 (x * L(x,y,z)) \ L(x * L(x,y,z),u,w) = a(x * L(x,y,z),u,w). [back_rewrite(173480),rewrite([459446(12)])]. 459593 (x * x) * (L(x \ L(x,y,z),u,w) / L(x,y,z)) = a(x * L(x,y,z),u,w) * x. [back_rewrite(423544),rewrite([459548(12)])]. 459610 L(T(x,y),z,u) \ T(a(x * L(x,z,u),w,v5) * x,y) = L(L(x,z,u) \ x,w,v5). [back_rewrite(422207),rewrite([459548(7)])]. 459644 (L(L(x,y,z) \ x,u,w) \ 1) \ (a(x * L(x,y,z),u,w) \ 1) = L(x,y,z) \ x. [back_rewrite(335299),rewrite([459557(11)])]. 459648 L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x) = a(x * L(x,y,z),u,w) \ 1. [back_rewrite(306855),rewrite([459557(12)])]. 459649 L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = a(x * L(x,y,z),u,w) \ 1. [back_rewrite(306698),rewrite([459557(12)])]. 459651 a(x * L(x,y,z),u,w) * (x \ (L(x,y,z) \ 1)) = L(x \ (L(x,y,z) \ 1),u,w). [back_rewrite(443106),rewrite([459580(14)])]. 459665 L(x,y,z) \ L(x \ L(x,y,z),u,w) = x \ a(x * L(x,y,z),u,w). [hyper(5306,a,459446,a),flip(a)]. 459692 L(x \ L(x,y,z),u,w) / L(x,y,z) = a(x * L(x,y,z),u,w) / x. [hyper(5142,a,459446,a(flip),b,118328,a),flip(a)]. 459716 L(x,y,z) \ (a(z,y,x) \ x) = a(x,x * L(x,y,z),z * y). [para(11971(a,1),459446(a,1,2,2)),rewrite([397310(6),397165(6),350626(8)])]. 459763 ((x \ y) * (y \ x)) \ L((x \ y) * (y \ x),z,u) = a((x \ y) * (y \ x),z,u). [para(437273(a,1),459446(a,1,2,1)),rewrite([437273(12),346455(9),69930(9),144182(10),437273(16),345741(13),345837(12)])]. 459790 (1 / x) \ a(x * L(x,y,z),u,w) = a(x * L(x,y,z),u,w) * x. [back_rewrite(459593),rewrite([459692(6),420371(6)])]. 459818 T((L(x,y,z) \ x) * u,x) = u * (L(T(x,u),y,z) \ x). [para(459556(a,2),50010(a,1,2)),rewrite([6174(2),459556(8),443019(4),60(6)])]. 459822 a(x,x * L(x,y,z),z * y) * a(z,y,x) = L(x,y,z) \ x. [para(11971(a,1),459556(a,1,1)),rewrite([397310(5),350626(7),397087(8)])]. 459844 a(x * L(x,y,z),u,w) * (L(x \ L(x,y,z),u,w) \ 1) = L(x,y,z) \ x. [para(459556(a,1),248766(a,2,1)),rewrite([6174(13),381611(12),323(10),408(11),335639(18),304759(13),305132(13)])]. 459848 L(x \ L(x,y,z),u,w) \ L(L(x,y,z) \ x,u,w) = x * (L(x,y,z) \ (L(x,y,z) \ x)). [para(459556(a,1),354134(a,2,2)),rewrite([444200(9),459567(9),380356(12)])]. 459870 L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) * v5 = L(L(x,u,w),y,z) * (L(x,u,w) \ v5). [hyper(5081,a,406330,a,b,457478,a),rewrite([60(6),60(5),416087(7),305327(9)]),flip(a)]. 459921 L(x \ L(x,y,z),x,u) * ((x \ L(x,y,z)) \ u) = L(x \ ((1 / x) \ u),x,L(x,y,z)). [hyper(5083,a,457478,a(flip),b,158113,a),rewrite([64201(6),354827(4)]),flip(a)]. 460042 (x \ L(x,y,z)) * L(L(x,u,w),v5,v6) = L(x,y,z) * (x \ L(L(x,u,w),v5,v6)). [para(149084(a,2),457478(a,2,2)),rewrite([307615(5),149084(11)])]. 460044 L(x \ L(x,y,z),u,w) * ((x \ L(x,y,z)) \ v5) = a(x * L(x,y,z),u,w) * v5. [para(91470(a,2),457478(a,1,1,1)),rewrite([91470(6),304101(6),162681(6),459665(5),51(5),165220(6),458269(6),457931(11)]),flip(a)]. 460048 a(x * L(y * (L(y,z,u) \ a(w,v5,a(v6,v7,v8))),y,x),v9,v10) = a(L(y,z,u) * (y \ x),v9,v10). [para(457478(a,1),158297(a,2,1)),rewrite([444200(5),162960(5)])]. 460049 L(x,L(y * L(y,z,u),y,x),x) * (L(y,z,u) * (y \ x)) = x * ((x * (L(y,z,u) * (y \ x))) / x). [para(457478(a,1),159089(a,1,2,1,2)),rewrite([422229(10),457856(15)]),flip(a)]. 460071 (L(x,y,z) * (x \ u)) * (u \ 1) = u * (L(x,y,z) * (x \ (u \ 1))). [para(457478(a,1),202072(a,1,1)),rewrite([26402(10),26414(10),6174(9),381611(8),323(6),408(7),457918(6),26402(11),26414(11),406028(10)]),flip(a)]. 460099 (x \ L(x,y,z)) * R(x,u,w) = L(x,y,z) * (x \ R(x,u,w)). [para(256863(a,2),457478(a,2,2)),rewrite([209136(4),304908(4),256863(7)])]. 460110 ((x \ L(x,y,z)) * u) \ (L(x,y,z) * (x \ u)) = u \ L(x \ ((1 / x) \ u),x,L(x,y,z)). [para(457478(a,1),304442(a,1,2)),rewrite([459921(14)])]. 460111 a(L(x,y,z) * (x \ L(x \ L(x,y,z),u,w)),v5,v6) = a(a(x * L(x,y,z),u,w),v5,v6). [para(457478(a,1),310087(a,2,1)),rewrite([381372(6),83146(5),308033(5),304908(4),304101(6),459548(5),58(5),547(4)]),flip(a)]. 460130 L(x \ L(x,y,z),x,u) * (x \ u) = L(x,y,z) * (x \ (x \ u)). [para(354827(a,1),457478(a,2,2)),rewrite([304101(6),324(3),48(3),28083(6),308035(4),357007(13)])]. 460165 x \ L(y \ ((1 / y) \ x),y,L(y,z,u)) = a(y,y * L(y,z,u),y \ x). [back_rewrite(457930),rewrite([459921(7)])]. 460169 L(L(x,y,z) \ x,u,w) * ((L(x,y,z) \ x) \ v5) = a(x * L(x,y,z),u,w) * v5. [back_rewrite(457931),rewrite([460044(14)])]. 460170 ((L(x,y,z) \ x) \ u) * L(L(x,y,z) \ x,w,v5) = a(x * L(x,y,z),w,v5) * u. [back_rewrite(323765),rewrite([460044(7)]),flip(a)]. 460173 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [back_rewrite(266786),rewrite([460099(4),170029(3)])]. 460178 ((x \ L(x,y,z)) * u) \ (L(x,y,z) * (x \ u)) = a(x,x * L(x,y,z),x \ u). [back_rewrite(460110),rewrite([460165(14)])]. 460277 (x \ L(x,y,z)) * R(x * K(u,w),v5,v6) = x * (L(x,y,z) * R(x \ K(u,w),v5,v6)). [para(460099(a,1),7726(a,1,1)),rewrite([7726(6),273818(5),158808(6),201843(11)]),flip(a)]. 460278 L(x,y,z) * (K(u,w) * (x \ R(x,v5,v6))) = x * (L(x,y,z) * R(x \ K(u,w),v5,v6)). [para(12023(a,1),460099(a,1,1)),rewrite([69930(5),71772(6),460277(6),219546(15),12023(13),7726(15),273818(14),272432(15),27438(12)]),flip(a)]. 460280 a(x * (L(y,z,u) * (y \ R(y,w,v5))),v6,v7) = a(x * (y * (L(y,z,u) * R(y,w,v5))),v6,v7). [para(460099(a,2),13792(a,2,1,2)),rewrite([460278(6),213985(8),350146(5),401700(6),11009(2),131132(8),158808(4),460099(10)]),flip(a)]. 460366 a(x * (R(y,z,u) * (y \ L(y,w,v5))),v6,v7) = a(x * (y * (L(y,w,v5) * R(y,z,u))),v6,v7). [para(460099(a,1),46791(a,1,1,2)),rewrite([460280(6)]),flip(a)]. 460495 a(x,y,x) \ x = L(x,y,x). [hyper(7088,a,101893,a(flip),b,460173,a),rewrite([561(3)]),flip(a)]. 460559 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(7088,a,460173,a(flip),b,147512,a),rewrite([561(7),6174(6),6174(5),547(4),561(7),63(8),376462(8),273144(9),170029(5),5525(5),5525(5)])]. 460560 a(R(x,y,z),u,R(x,y,z)) = a(x,u,x). [hyper(7088,a,460173,a(flip),b,103017,a),rewrite([561(7),6174(6),6492(5),547(4),561(7),297976(8),273146(9),399003(8)])]. 460589 L(L(x,y,z),u,w) * a(x,v5,x) = L(L(R(x,v5,x),y,z),u,w). [para(63(a,1),460173(a,2,1)),rewrite([460559(5),376462(7)])]. 460749 a(x,y,L(L(z \ 1,u,z),w,v5)) = a(x,y,L(R(z,u,z),w,v5)). [para(460173(a,2),158417(a,2,3)),rewrite([278909(3),460173(8)])]. 461202 T(x * (L(y,z,u) \ y),y) = x * (L(T(y,x),z,u) \ y). [hyper(295,a,37797,a,b,459818,a),rewrite([427861(7),323(4),48(5),299760(6)])]. 461212 (L(T(x,y),z,u) \ x) * y = y * (L(T(x,y),z,u) \ x). [hyper(295,a,168,a,b,459818,a),rewrite([427861(4),323(1),48(2),47507(5)])]. 461496 L(x,y * (L(T(z,y),u,w) \ z),v5) = L(x,(z * L(z,u,w)) * y,v5). [para(459818(a,2),25426(a,2,2)),rewrite([25426(7),26536(10),313501(9)])]. 461688 L(x,(y \ z) * (L(T(u,y \ T(z,w)),v5,v6) \ u),v7) = L(x,(y \ z) * (u \ L(u,v5,v6)),v7). [para(459818(a,2),97862(a,1,2)),rewrite([26536(7),98039(6),309093(5)]),flip(a)]. 461884 R(x,y,z * (L(T(u,z),w,v5) \ u)) = R(x,y,(u \ L(u,w,v5)) * z). [para(459818(a,1),203025(a,1,3)),rewrite([306163(9)])]. 461911 (x * y) \ ((L(z,u,w) * L(z \ 1,u,w)) * v5) = (L(z,u,w) * L(z \ 1,u,w)) * ((x * y) \ v5). [para(459818(a,1),155950(a,1,1,2,2)),rewrite([408211(5),323(3),408(4),379966(5),380347(6),342947(8),379966(13),380418(14),354339(13),380350(16)])]. 462098 (x * ((L(y,z,u) * L(y \ 1,z,u)) \ w)) \ v5 = (L(y,z,u) * L(y \ 1,z,u)) * ((x * w) \ v5). [back_rewrite(342947),rewrite([461911(16)])]. 462537 a(x,y,z * (L(u,w,v5) \ u)) = a(x,y,z * (u * L(u,w,v5))). [para(461202(a,2),72848(a,2,3)),rewrite([165383(7),78011(6),13983(9)]),flip(a)]. 462694 R(x,y,(z \ L(z,u,w)) * v5) = R(x,y,v5 * (L(z,u,w) \ z)). [para(461202(a,1),203025(a,1,3)),rewrite([461884(5)])]. 463183 L(x,(y \ z) * (u \ L(u,w,v5)),v6) = L(x,(y \ z) * (u * L(u,w,v5)),v6). [para(461212(a,2),97862(a,1,2)),rewrite([461212(8),461496(9),98039(6),461688(13)]),flip(a)]. 463550 L(x,y,z) * (x \ T(u,w)) = T(L(x,y,z) * (x \ u),w). [para(959(a,1),457455(a,1,1,2,2)),rewrite([60348(5)]),flip(a)]. 463737 T(L(x,y,z) * L(x \ 1,u,w),v5) = L(x,y,z) * L(x \ 1,u,w). [para(70572(a,1),457455(a,1,1,2,1)),rewrite([378715(11),323(9),319(10),49(10),457940(9),70572(14),457940(15)])]. 463859 T(x,y) \ T(L(z,u,w) * (z \ x),y) = x \ (L(z,u,w) * (z \ x)). [back_rewrite(304764),rewrite([463550(5)])]. 463877 x \ ((L(y,z,u) * L(y \ 1,z,u)) * w) = (L(y,z,u) * L(y \ 1,z,u)) * (x \ w). [back_rewrite(342794),rewrite([463737(6),342939(6),342765(7),463737(13)])]. 463968 L(a(x,y,z) * u,w,a(x,y,z) * u) = a(x,y,z) * L(u,w,u). [hyper(5081,a,384778,a,b,460495,a),rewrite([384778(6),426167(10),29936(9),460495(8)])]. 463981 a(x,y,x) \ L(x,z,u) = L(L(x,y,x),z,u). [hyper(5081,a,64,a,b,460495,a),rewrite([381372(2),460559(5)]),flip(a)]. 463982 a(x,y,x) \ R(x,z,u) = L(R(x,z,u),y,x). [hyper(5081,a,63,a,b,460495,a),rewrite([209136(2),381372(2),63(2),460560(5)]),flip(a)]. 463987 L(R(x,y,z),u,L(x,y,z)) = L(R(x,y,z),u,x). [hyper(5081,a,209136,a(flip),b,460495,a),rewrite([460560(6),463982(6)])]. 464010 L(L(x,y,z),u,L(x,y,z)) = L(L(x,u,x),y,z). [hyper(5081,a,460495,a,b,209136,a),rewrite([460559(3),463981(3),209136(5)]),flip(a)]. 464051 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(460495(a,1),60487(a,1,1,1)),rewrite([460495(4),5527(5),428346(5)]),flip(a)]. 464053 a(x * L(y,z,y),u,w) = a(y * x,u,w). [para(460495(a,1),68916(a,2,1,2)),rewrite([428928(4),324(2),301334(2),13888(3)]),flip(a)]. 464055 L(x,L(y,z,y),u) = L(x,y,u). [para(460495(a,1),68875(a,2,2)),rewrite([428928(4),324(2),301334(2),27281(2)]),flip(a)]. 464056 a(L(x,y,x),z,u) = a(x,z,u). [para(460495(a,1),68848(a,2,1)),rewrite([428928(4),324(2),301334(2),12527(2)]),flip(a)]. 464057 a(L(x,y,x) \ z,u,w) = a(x \ z,u,w). [para(460495(a,1),69472(a,2,1,1)),rewrite([428928(4),324(2),301334(2),177121(3)]),flip(a)]. 464059 a(x,L(y,z,y),u) = a(x,y,u). [para(460495(a,1),68852(a,2,2)),rewrite([428928(4),324(2),301334(2),13948(2)]),flip(a)]. 464067 L(x,y,z * L(u,w,u)) = L(x,y,z * u). [para(460495(a,1),85295(a,2,3,2)),rewrite([428928(4),324(2),301334(2),108049(3)]),flip(a)]. 464076 a(L(x,y,x) * z,u,w) = a(x * z,u,w). [para(460495(a,2),110461(a,1,1,2)),rewrite([72881(5),46613(3),269744(6),460495(2),27381(6),464053(6)])]. 464089 L(x,y * L(y,z,u),x) = x. [para(64099(a,1),460495(a,1,1)),rewrite([376266(3),324(2),82976(3)]),flip(a)]. 464110 L(x,y,x) \ T(x,z) = K(x,z) * a(x,y,x). [para(460495(a,1),175903(a,1,2)),rewrite([175989(3)])]. 464111 L(x,y,x) * L(L(x,y,x) \ z,u,w) = x * L(x \ z,u,w). [para(460495(a,1),173105(a,2,1)),rewrite([428928(4),324(2),301334(2),428928(5),324(3),301334(3),28593(5),460495(6)]),flip(a)]. 464114 a(x,y,x) * (z / x) = z / L(x,y,x). [para(460495(a,1),204224(a,1,2)),rewrite([6706(2),460495(2),393579(5),5527(5),428935(5)]),flip(a)]. 464115 a(x * (y * L(x,z,x)),u,w) = a(L(y,x,x),u,w). [para(460495(a,2),218721(a,1,1,2)),rewrite([460495(3),464053(4),75356(3)]),flip(a)]. 464137 x * (L(x,y,x) \ z) = z * a(x,y,x). [para(460495(a,1),60485(a,1,2,1)),rewrite([5526(4),379420(3)])]. 464171 a(x,y,L(z,u,z)) = a(x,y,z). [para(460495(a,1),398396(a,1,3)),rewrite([197931(5)])]. 464219 R(x,y,x) * (x \ z) = z * a(x,y,x). [back_rewrite(379970),rewrite([464137(6)])]. 465355 L(x,(y * z) * (y \ z),x) = x. [para(60809(a,1),464089(a,1,2,2)),rewrite([93401(5),68878(6)])]. 465366 L(x,L(y * L(y,z,u),w,v5),x) = x. [para(18820(a,2),464089(a,1,2)),rewrite([26458(6),26458(5),104858(4),168(3),432231(7)])]. 465478 x * ((x * (L(y,z,u) * (y \ x))) / x) = x * (L(y,z,u) * (y \ x)). [back_rewrite(460049),rewrite([465366(4)]),flip(a)]. 465607 L(x,y,x) * L(x \ (L(x,y,x) \ z),u,w) = x \ L(z,u,w). [hyper(5081,a,28563,a(flip),b,464111,a),rewrite([354134(6)]),flip(a)]. 465976 (x \ L(x,y,x)) \ z = a(x,y,x) * z. [hyper(5083,a,464067,a(flip),b,306137,a),rewrite([320(6),273252(5)])]. 465977 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(5083,a,464067,a(flip),b,306091,a),rewrite([273252(2),320(5)]),flip(a)]. 465983 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(53(a,1),464067(a,1,3)),rewrite([118328(4),464137(4)]),flip(a)]. 466182 L(x,y \ (a(z,u,z) \ w),v5) = L(x,y \ w,v5). [back_rewrite(197771),rewrite([465983(8)])]. 466232 a(x,y,L(L(L(z,u,z),w,v5),v6,v7)) = a(x,y,L(L(z,v6,v7),w,v5)). [hyper(5081,a,164061,a,b,464171,a),rewrite([464010(8),464010(6)]),flip(a)]. 466233 a(x,y,L(L(z,u,z),w,v5)) = a(x,y,L(z,w,v5)). [hyper(5081,a,158417,a,b,464171,a),rewrite([158417(4),464010(5)]),flip(a)]. 466281 a(x,y,L(z * L(a(u,w,v5),v6,v7),v8,a(u,w,v5) * z)) = a(x,y,z * a(u,w,v5)). [para(384778(a,1),464171(a,1,3)),rewrite([452283(11)])]. 466313 a(x,y,L(L(z / u,w,v5),v6,v7)) = a(x,y,L(L(u \ z,w,v5),v6,v7)). [para(21093(a,2),466232(a,1,3,1,1)),rewrite([21093(7),185985(3),164120(5)])]. 466314 a(x,y,L(L(L(z,u,w),v5,v6),v7,z)) = a(x,y,L(L(z,v5,v6),u,w)). [para(417(a,2),466232(a,1,3))]. 466344 a(x,y,L(R(z,u,z),w,v5)) = a(x,y,L(z,w,v5)). [para(65058(a,1),466232(a,2,3,1)),rewrite([26402(5),26414(5),91925(5),460749(5),158417(7)])]. 466371 a(x,y,L((1 / z) * u,w,v5)) = a(x,y,L(z * u,w,v5)). [back_rewrite(137105),rewrite([466313(4),76136(3)])]. 466372 a(x,y,L(L(z \ 1,u,w),v5,v6)) = a(x,y,L(L(z,v5,v6),u,w)). [back_rewrite(149780),rewrite([466314(4)]),flip(a)]. 466373 a(x,y,L(L(z,u,w),v5,z)) = a(x,y,L(z,u,w)). [back_rewrite(460749),rewrite([466372(5),466344(6)])]. 467023 T(x / (x * y),K(x,y)) = x / (x * y). [para(36595(a,2),77621(a,1,2)),rewrite([36595(4),50954(5)])]. 468491 T(x * (L(y \ L(y,z,u),w,v5) \ 1),x) = (L(y \ L(y,z,u),w,v5) \ 1) * x. [hyper(5081,a,306917,a,b,84326,a),rewrite([92038(19),408211(17),405411(16),415956(16),323(13),48(14)]),flip(a)]. 468621 T(x \ R(y,z,u),y / x) = x \ R(y,z,u). [hyper(5081,a,280576,a(flip),b,84326,a),rewrite([280576(6),446086(9),4809(8),3346(7)]),flip(a)]. 468710 R(x,y * R(y,z,u),x) = x. [hyper(267,a,257670,a,b,84326,a(flip)),rewrite([447465(9),323(6),48(7),96988(7),372987(3),11009(2)])]. 469074 T(x * (y \ R(y,z,u)),x) = x * (y \ R(y,z,u)). [back_rewrite(301732),rewrite([468710(3)]),flip(a)]. 470775 a(x * ((a(y,y,z) * z) * u),w,v5) = a(x * (L(z,y,y) * u),w,v5). [para(85122(a,1),130748(a,1,1,2,1,2)),rewrite([400178(9)])]. 470902 L(a(x,x,y),L(y,x,x),z) = a(x,x,L(y,y,z)). [para(85122(a,1),388615(a,1,2,1,2)),rewrite([135695(4),431412(8),389275(4),420818(6),48(4)]),flip(a)]. 470950 (x * L(y,z,z)) \ (x * y) = a(z,z,L(y,y,x)). [back_rewrite(85176),rewrite([470902(3)]),flip(a)]. 474079 x / ((x \ 1) \ K(y,x)) = K(x,x \ (x \ y)). [para(447912(a,2),113093(a,1,2,1)),rewrite([447912(4),147(6),227091(4)])]. 474678 a(x,y * a(z,u,w),x) = a(x,y,x). [hyper(5081,a,398359,a,b,170029,a),rewrite([398359(3),385890(6),170029(5)])]. 474680 a(x,(y \ z) * u,x) = a(x,z * (y * u),x). [hyper(5081,a,168622,a,b,170029,a),rewrite([168622(5),418330(6),170029(7)])]. 474687 a(x,R(y,z,u),x) = a(x,y,x). [hyper(5081,a,14826,a,b,170029,a),rewrite([14826(3),215709(4),370501(4),170029(4)])]. 474689 a(x,L(y,z,u),x) = a(x,y,x). [hyper(5081,a,14785,a,b,170029,a),rewrite([14785(3),370501(4),170029(4)])]. 474698 a(x,(y * z) * u,x) = a(x,z * (y * u),x). [hyper(5081,a,47597,a(flip),b,170029,a),rewrite([474680(3),446992(7),170029(8),46313(7)]),flip(a)]. 474742 a(x,y,x) * x = R(x,y,x). [para(170029(a,1),165(a,2,2,1)),rewrite([256863(2),170029(2),547(2),547(4),301334(4)])]. 474769 T(a(x,y,x) * z,z \ x) = (z \ x) \ R(x,y,x). [para(170029(a,1),77147(a,1,1,3)),rewrite([5527(3),256863(5),170029(5)]),flip(a)]. 474971 T((a(x,y,z) * u) \ 1,T(u,w)) = 1 / (a(x,y,z) * u). [para(15051(a,1),249126(a,1,2)),rewrite([386241(8)])]. 475077 T(a(x,y,z) \ (u \ 1),T(u,w)) = a(x,y,z) \ (1 / u). [para(249126(a,1),394737(a,1,2)),flip(a)]. 475082 T((x * (L(y,z,u) \ y)) \ 1,T(x,y)) = 1 / (x * (L(y,z,u) \ y)). [para(461202(a,1),249126(a,1,2)),rewrite([423152(10),801(7),149(7)])]. 475160 (x / y) * L(y,z,y) = a(y,z,y) \ x. [para(273252(a,1),60487(a,1,1,1)),rewrite([273252(4),209344(5),5526(4),158527(5)]),flip(a)]. 475168 (x \ L(y,z,y)) \ y = (x \ y) \ R(y,z,y). [para(273252(a,1),77147(a,1,1,3)),rewrite([5527(4),91483(5),273252(5),381611(8),474769(7)])]. 475183 L(x,y,x) * L(x,z,u) = x * L(L(x,y,x),z,u). [para(273252(a,1),158113(a,1,2,2)),rewrite([460589(5),101893(3),148178(6)])]. 475191 a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,w). [para(273252(a,1),173105(a,2,1)),rewrite([309068(4),309068(6),24474(7),354134(4),465607(6),51(3),273252(4)]),flip(a)]. 475209 L(a(x,y,x) \ z,u,w) * a(x,y,x) = L(z,u,w). [para(273252(a,1),303455(a,2,1)),rewrite([158527(4),475160(4),162681(6),464137(6),273252(8),475191(10)])]. 475335 L(x,y,x) \ 1 = R(x \ 1,y,x). [hyper(5081,a,206104,a(flip),b,301334,a),rewrite([72770(10),46610(8),464051(7)]),flip(a)]. 475350 R(a(x,y,z) * u,w,a(x,y,z) * u) = a(x,y,z) * R(u,w,u). [hyper(295,a,394565,a(flip),b,301334,a),rewrite([426167(6),301334(3)]),flip(a)]. 475427 x \ (a(y,z,u) \ R(x,w,x)) = a(y,z,u) \ a(x,w,x). [hyper(5083,a,301334,a(flip),b,400742,a(flip)),rewrite([398536(5),454832(5),398396(10),398307(10),426167(10)])]. 475442 a(x,y,x) \ (x \ z) = R(x,y,x) \ z. [para(301334(a,1),11892(a,2,1)),rewrite([5526(5)])]. 475452 a(x,y,x) * (z * x) = z * R(x,y,x). [para(301334(a,1),15015(a,2,2)),rewrite([5525(2)])]. 475463 (x / y) * R(y,z,y) = x * a(y,z,y). [para(301334(a,1),13287(a,1,2)),rewrite([203025(6),6623(5),464219(3),13983(8),12463(6),301334(5)]),flip(a)]. 475499 (x \ y) * a(y,z,y) = x \ R(y,z,y). [para(301334(a,1),95099(a,1,2)),rewrite([393579(3),5527(3)]),flip(a)]. 475518 a(x,y,R(z,u,z) * w) = a(x,y,w * z). [para(301334(a,1),136137(a,1,3,1)),rewrite([474742(5),137200(6)])]. 475655 L(x,a(y,z,u) * L(w,v5,w),v6) = L(x,w * a(y,z,u),v6). [back_rewrite(294614),rewrite([475427(4),430068(4),460495(3)])]. 475765 L(x * L(x,y,z),u,x) = x * L(x,y,z). [hyper(284,a,349392,a)]. 475767 (x * y) * (x * L(x,z,u)) = x * (y * (x * L(x,z,u))). [para(349392(a,1),7687(a,1,1)),rewrite([48(6)]),flip(a)]. 475818 a(x * (y * (x \ L(x,z,u))),w,v5) = a(x * (y * (x * L(x,z,u))),w,v5). [back_rewrite(350828),rewrite([475767(4)]),flip(a)]. 475830 a((x * L(x,y,z)) * (x * u),w,v5) = a(x * (u * (x * L(x,y,z))),w,v5). [back_rewrite(350721),rewrite([475818(10)])]. 476577 L(L(x,y,z),u,L(x * L(x,w,v5),y,z)) = L(x,y,z). [hyper(5083,a,381171,a,b,26458,a),rewrite([27440(12),12075(13),422294(11),173418(9),5754(3),26458(9),26458(5),5784(4)])]. 476702 a(x * L(x,y,z),u,x) = 1. [hyper(285,a,381171,a)]. 476726 ((x * L(x,y,z)) * u) * L(x,w,v5) = (x * L(x,y,z)) * (u * L(x,w,v5)). [para(381171(a,1),24271(a,1,2,1))]. 476738 L(L(L(x,y,z),u,w),v5,L(x * L(x,v6,v7),u,w)) = L(L(x,u,w),y,z). [para(381171(a,1),417(a,1,1)),rewrite([422299(9)]),flip(a)]. 476886 x \ (a(x,y,x) \ z) = R(x,y,x) \ z. [para(474742(a,1),11892(a,2,1)),rewrite([5527(5)])]. 476937 a(x,y,z * L(u,w,u)) = a(x,y,z * u). [para(474742(a,1),135952(a,2,3,1)),rewrite([197784(4),460495(3),48(3),475518(6)])]. 476959 R(x,y,L(z,u,z)) = R(x,y,z). [para(474742(a,1),217015(a,2,3)),rewrite([197784(4),460495(3),48(3),204284(4)])]. 476971 1 / L(x,y,x) = R(1 / x,y,x). [para(474742(a,1),248766(a,1,1)),rewrite([206104(5),61(4),66904(3),72770(8),46610(6),414168(6),464114(7)]),flip(a)]. 476979 R(x,y,x) / (z \ x) = a(x,y,x) * z. [para(474742(a,1),60485(a,1,1)),rewrite([5527(4)])]. 477484 a(a(x,y,y),z,x) = 1. [para(61613(a,2),476702(a,1,1,2)),rewrite([61613(4),281635(3)])]. 480689 a(x * (y \ (z \ 1)),u,w) = a(x * (y \ z),u,w). [para(22926(a,1),239471(a,1,1,2,2)),rewrite([239471(5),76358(8),96820(12),269916(10)])]. 481970 ((x * (1 / y)) \ x) * (1 / y) = (y \ 1) * ((x * (1 / y)) \ x). [para(31798(a,2),345757(a,1,1,2)),rewrite([50(4),6174(4),412(3),50(15)]),flip(a)]. 482685 L(x,x,y) * (y * (x \ L(x,z,u))) = L(L(x,x,y),z,u) * y. [para(59164(a,1),158354(a,1,2,1)),rewrite([76185(7),70237(5)])]. 483762 a(x * L(x,y,z),u,w) \ 1 = a(w,u,x * L(x,y,z)). [hyper(5081,a,165285,a,b,62108,a),rewrite([165285(3),400178(10),442974(8),397258(8)]),flip(a)]. 484058 L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = a(w,u,x * L(x,y,z)). [back_rewrite(459649),rewrite([483762(11)])]. 484059 L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x) = a(w,u,x * L(x,y,z)). [back_rewrite(459648),rewrite([483762(11)])]. 484061 (L(L(x,y,z) \ x,u,w) \ 1) \ a(w,u,x * L(x,y,z)) = L(x,y,z) \ x. [back_rewrite(459644),rewrite([483762(10)])]. 484067 L(x * L(x,y,z),u,w) \ (x * L(x,y,z)) = a(w,u,x * L(x,y,z)). [back_rewrite(459557),rewrite([483762(11)])]. 485051 L(L(x,x,x),x,y) = L(x,x,y * x). [para(89811(a,1),382(a,1,1)),rewrite([111788(8),403957(8)])]. 485162 x * L(y,y,x * y) = x / (1 / y). [back_rewrite(403628),rewrite([485051(2)])]. 485170 (x \ y) * ((1 / x) \ x) = T(y / (1 / x),x). [back_rewrite(403219),rewrite([485162(3)]),flip(a)]. 485202 T((a(x,y,z) \ 1) / (1 / u),u) = (u \ 1) \ (a(x,y,z) \ 1). [back_rewrite(294958),rewrite([485170(8)])]. 485209 (x / (1 / y)) * y = x * ((1 / y) \ y). [back_rewrite(175577),rewrite([485170(5),410(5)])]. 485215 (L(x,x,x) \ y) * (x * x) = T(y / (1 / x),x). [back_rewrite(111815),rewrite([485170(9)])]. 485217 L(x,x,x \ y) = L(x,x,y * x). [back_rewrite(391602),rewrite([485209(5),111788(6),403957(6)]),flip(a)]. 485252 L(x \ L(y,y,z * y),x,z) = (z * x) \ (z / (1 / y)). [back_rewrite(329282),rewrite([485217(2)])]. 487118 R(x,x,y) * (T(z * z,u) \ y) = (1 / x) \ (T(z * z,u) \ y). [hyper(295,a,122083,a,b,101891,a),rewrite([206638(4),206659(3),280811(4),324185(5)])]. 487119 (x \ L(x,y,z)) / (u \ 1) = (x / u) \ L(x,y,z). [hyper(295,a,102113,a,b,101891,a),rewrite([217243(5),455274(5),403632(6),304742(10)])]. 487127 (a(x,y,z) \ 1) / (u \ 1) = (1 / u) \ (a(x,y,z) \ 1). [hyper(295,a,397148,a(flip),b,101891,a),rewrite([206104(5),393579(3),403189(4)])]. 487227 x \ ((1 / y) \ T(x,y)) = R(y,y,x). [hyper(5083,a,101891,a(flip),b,7984,a(flip)),rewrite([203025(7)])]. 487442 (1 / x) \ (T(y * y,z) \ u) = (T(y * y,z) / x) \ u. [para(203027(a,2),101891(a,2,1)),rewrite([214508(7),214557(7),206011(6),324185(5),487118(5),48(10)])]. 487542 L((x \ y) * (y \ x),(x \ y) * (y \ x),z) * z = ((y \ x) \ ((x \ y) \ 1)) \ z. [para(345924(a,1),101891(a,2,1)),rewrite([444867(7),307734(13)])]. 487610 (L(x \ 1,y,z) \ x) \ L(x,y,z) = L(1 / x,y,z) * (x \ L(x,y,z)). [back_rewrite(296025),rewrite([487119(8),296538(4)])]. 487613 L(a(x,y,z),u,u) \ u = (1 / u) \ (a(x,y,z) \ 1). [back_rewrite(455171),rewrite([487127(9)])]. 488279 R(x,y,y) * L(y,y,x) = x * y. [hyper(295,a,401861,a,b,123713,a),rewrite([209136(3),407823(3)])]. 488694 L(x,(((y \ z) \ R(z,u,z)) \ z) \ w,v5) = L(x,(y \ L(z,u,z)) \ w,v5). [para(475168(a,1),28032(a,1,2,1,1))]. 488696 L(x,((y \ z) \ R(z,u,z)) \ w,v5) = L(x,y \ w,v5). [para(475168(a,2),28029(a,2,2,1)),rewrite([476979(3),89231(3),466182(4),475168(5)]),flip(a)]. 489121 L(x,(y \ R(z,u,z)) \ w,v5) = L(x,(y \ z) \ w,v5). [para(340(a,1),488696(a,1,2,1,1)),rewrite([28029(7)])]. 489357 L(x,((y \ R(z,u,z)) \ z) \ w,v5) = L(x,y \ w,v5). [hyper(295,a,28032,a(flip),b,489121,a),flip(a)]. 489415 L(x,(y \ (1 / z)) \ u,w) = L(x,(y \ (z \ 1)) \ u,w). [para(94500(a,1),489121(a,1,2,1,2)),rewrite([1816(5),9510(6),64714(5),1841(6),1816(3),65123(4)]),flip(a)]. 489525 L(x,(y \ L(z,u,z)) \ w,v5) = L(x,(y \ z) \ w,v5). [back_rewrite(488694),rewrite([489357(6)]),flip(a)]. 489970 x \ ((y * x) * L(T(T(x,z),z),u,w)) = T(y * L(T(T(x,z),z),u,w),x). [hyper(5083,a,376685,a(flip),b,9113,a),rewrite([5754(7),133281(7),104660(7),7726(5),26653(4),4278(3),104858(3),168(2),401894(10)]),flip(a)]. 490097 a(x,(y * L(T(T(z,u),u),w,v5)) * v6,v7) = a(x,v6 * (y * L(z,w,v5)),v7). [para(376685(a,1),47597(a,1,2,2)),rewrite([14782(7),24487(5),401894(9),489970(10),13932(11)]),flip(a)]. 490188 K(x,y) * (z \ (u \ T(T(y,x),x))) = K(y,x) * (z \ (u \ y)). [para(96964(a,1),376685(a,1,2,1)),rewrite([5678(6),172512(6),5754(6),5678(10),96964(10),97483(11)])]. 490251 a(x,(y * L(T(z,u),w,v5)) * v6,v7) = a(x,v6 * (y * L(z,w,v5)),v7). [para(376685(a,1),47592(a,1,2,1)),rewrite([13932(7),401894(10),489970(11),13932(12),490097(11)])]. 490586 x * L(a(y,z,u) * K(x,w),v5,v6) = T(x * L(a(y,z,u),v5,v6),w). [para(384511(a,1),207(a,2,2,1)),rewrite([175858(4),384512(4),27438(5),168(4),452214(4)]),flip(a)]. 490936 a(x,y,z) / (a(x,y,z) * u) = a(x,y,z) \ (a(x,y,z) / u). [hyper(295,a,397148,a,b,402372,a),rewrite([256260(5),397148(6)]),flip(a)]. 491089 a(x,y,(z * u) \ z) = a(x,y,z \ (u \ z)). [para(402372(a,1),13992(a,1,3)),rewrite([14988(5),52406(4),96925(10),239473(7),97508(7)])]. 491131 L(x,(y * z) \ y,u) = L(x,y \ (z \ y),u). [para(402372(a,1),26514(a,1,2)),rewrite([28057(5),52406(4),96853(10),239497(7),97421(7)])]. 491149 L(x,((y * z) \ y) \ u,w) = L(x,(y \ (y / z)) \ u,w). [para(402372(a,1),34030(a,2,2,1)),rewrite([97864(8),34030(5),28029(8)]),flip(a)]. 491241 L(x,y \ (z \ (y \ 1)),u) = L(x,y \ (z \ y),u). [para(402372(a,1),68875(a,1,2)),rewrite([28057(7),356769(6),340(5),491131(3),96853(11),239497(8)]),flip(a)]. 491244 a(((x * y) \ x) \ z,u,w) = a((x \ (x / y)) \ z,u,w). [para(402372(a,1),69472(a,2,1,1)),rewrite([100277(9),69472(6),13835(8)]),flip(a)]. 491268 L(x,(y \ z) \ (u \ (z / y)),w) = L(x,(y \ z) \ (u \ (y \ z)),w). [para(402372(a,1),28029(a,1,2)),rewrite([28057(5),195883(4),491131(5),96853(13),239497(10)]),flip(a)]. 491297 a(x \ ((y * z) \ y),u,w) = a(x \ (y \ (z \ y)),u,w). [para(402372(a,1),96322(a,1,1,2)),rewrite([96321(6),52406(4),96521(12),134529(9),236405(9)])]. 491301 K(x \ y,x \ 1) * (y \ (y / x)) = y / (y * x). [para(402372(a,1),96903(a,1,1)),rewrite([6720(6),23270(6),44462(7),48(5),562(5),44462(5),53543(5),467023(4),6720(6),23270(6)]),flip(a)]. 491402 ((L(x,y,z) \ x) * u) \ u = u \ ((L(x,y,z) \ x) \ u). [para(91470(a,1),402372(a,1,2,1)),rewrite([304759(7),381611(6),323(4),408(5),292815(8)]),flip(a)]. 491430 ((x * y) \ x) * R(((x * y) \ x) \ z,u,w) = (x \ (y \ x)) * R((x \ (y \ x)) \ z,u,w). [para(402372(a,1),62675(a,2,1)),rewrite([282267(12),285225(6),62675(7),402372(14),285225(14)]),flip(a)]. 491475 R(x,y,(z * u) \ z) = R(x,y,z \ (u \ z)). [para(402372(a,1),206638(a,1,3)),rewrite([204273(5),52406(4),204278(10),239766(7),216913(7)])]. 491520 (x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R(y,z,u)). [para(402372(a,1),272488(a,1,1)),rewrite([402372(7),272651(6),50(3),282267(15),340(7)])]. 491636 ((x \ L(x,y,z)) * u) \ u = u \ ((x \ L(x,y,z)) \ u). [para(102113(a,2),402372(a,2,2)),rewrite([293004(3),305132(7),408211(6),323(4),408(5),189372(8)]),flip(a)]. 491670 a(x * ((x * y) * z),u,a(w,v5,v6)) = a(x * (y * (x * z)),u,a(w,v5,v6)). [para(402372(a,1),396183(a,1,1,1)),rewrite([12534(5),396183(5),12467(13),12534(10),396183(10)])]. 491807 a(x,y,((z \ 1) * u) \ z) = a(x,y,z \ (u \ z)). [back_rewrite(454258),rewrite([491089(8)])]. 491817 a(x,y,(z * u) \ u) = a(x,y,u \ (z \ u)). [back_rewrite(137211),rewrite([491089(6)])]. 492025 L(x,y,y) \ (y * R((y \ 1) * x,z,u)) = y \ ((y / (y * x)) * R(y * x,z,u)). [back_rewrite(285108),rewrite([491520(13)])]. 492031 (x * y) \ (R(x,z,u) * y) = y \ ((y / x) * R(x,z,u)). [back_rewrite(272710),rewrite([491520(8)])]. 492055 (x * (y \ L(y,z,u))) \ x = x \ ((y \ L(y,z,u)) \ x). [back_rewrite(293115),rewrite([491636(4)]),flip(a)]. 492056 x / ((y \ L(y,z,u)) * x) = x \ ((y \ L(y,z,u)) \ x). [back_rewrite(189372),rewrite([491636(8)])]. 492063 a(x * (y * (x * (z \ x))),u,a(w,v5,v6)) = a(z * (x * y),u,a(w,v5,v6)). [back_rewrite(419333),rewrite([491670(6)])]. 492146 (T(x,y) * T(z,u)) \ (((T(x,y) * T(z,u)) / w) * R(w,z,x)) = a(w,z,x). [back_rewrite(218529),rewrite([492031(10)])]. 492151 (x \ ((y \ L(y,z,u)) \ x)) * ((L(y,z,u) \ y) * x) = (L(y,z,u) * L(y \ 1,z,u)) \ x. [back_rewrite(442922),rewrite([492055(4)])]. 492191 T((x \ L(x,y,z)) * u,w) \ T(u,w) = u \ ((x \ L(x,y,z)) \ u). [hyper(5081,a,105197,a,b,491636,a),rewrite([376680(4),376680(8),196(9),405411(8),415956(8),323(5),48(6),196(6),377309(6),189357(5),458608(8)]),flip(a)]. 492252 L(x \ L(T(x,y),z,u),w,v5) \ K(x,y) = L(x \ L(x,z,u),w,v5) \ 1. [para(19895(a,1),491636(a,1,1)),rewrite([305578(5),60(6),238355(5),305327(13),64035(11),5754(13),32036(13),306764(13)])]. 492338 (((x \ y) * (y \ x)) * z) \ z = z \ (((x \ y) * (y \ x)) \ z). [para(170410(a,2),491636(a,1,1,1,2)),rewrite([170410(6),304101(5),24263(4),50(5),304101(10),24263(9),50(10)])]. 492437 L(x \ (R(y,z,u) * (y \ x)),x \ (y \ x),u * z) = a(x \ (y \ x),z,u). [hyper(5081,a,265975,a(flip),b,491131,a),rewrite([272488(9),151404(8),491131(11)]),flip(a)]. 492455 1 / (x \ (x / y)) = ((x * y) \ x) \ 1. [hyper(295,a,65058,a(flip),b,491131,a),rewrite([438949(8),438762(13),240087(13),49(10)]),flip(a)]. 492543 L(x,y \ ((z \ 1) \ y),u) = L(x,y \ (z \ y),u). [para(50481(a,2),491131(a,1,2,1)),rewrite([50481(5),26221(6),51(5),491131(3),23536(9),68073(8),68847(8),240154(10)]),flip(a)]. 492608 L(x,y \ ((y * z) \ y),u) = L(x,L(z,y,y) \ y,u). [para(90188(a,1),491131(a,1,2,1)),rewrite([336127(7),455829(5),270510(13),52591(12),3851(11),66904(9),491268(11),68875(11),491241(9)]),flip(a)]. 492655 L(x,L(y,a(z,u,w),v5),v6) = L(x,y,v6). [para(396724(a,1),491131(a,2,2,2)),rewrite([170916(4),28057(5),28083(5),441836(7),83672(7)])]. 492700 x * (((y * x) \ y) \ 1) = (y \ (y / x)) \ x. [back_rewrite(357546),rewrite([492455(4)])]. 492725 (((x * y) \ x) \ 1) * y = (x \ (x / y)) \ y. [back_rewrite(440606),rewrite([492700(10)])]. 492947 L(x,y \ (((z \ u) \ ((u \ z) \ 1)) \ y),w) = L(x,y \ (((u \ z) * (z \ u)) \ y),w). [para(345924(a,2),492543(a,1,2,2,1)),rewrite([345924(5),307734(5)])]. 493036 (x * x) \ (x / y) = (1 / x) / y. [hyper(5083,a,439486,a,b,101891,a),rewrite([204273(4),239766(4),403795(4),195883(8),356769(8),340(7),439486(8),63590(5),215213(4),61822(5)])]. 493182 ((x \ (x / y)) \ 1) \ 1 = (x * y) \ x. [para(439486(a,1),60487(a,1,1)),rewrite([438762(9),28083(9),491131(7),240079(7),49(11),324(10)])]. 493208 a(x,L((y * z) \ y,u,w),v5) = a(x,L(y \ (y / z),u,w),v5). [para(439486(a,1),70632(a,2,2,1)),rewrite([337(6)])]. 493226 L(x,y * ((z * u) \ z),w) = L(x,y * (z \ (z / u)),w). [para(439486(a,1),77774(a,2,2,2)),rewrite([337(6)])]. 493237 T(x \ (x / y),y) = (x * y) \ x. [para(439486(a,1),66904(a,1,1)),rewrite([405411(7),50(4),49(4),337(9)])]. 493268 L(x \ 1,x,x \ y) = L(1 / x,x,y). [para(116975(a,1),439486(a,1,1,1,1)),rewrite([118003(6),432002(7),69340(6),52(8),145115(7)]),flip(a)]. 493271 T(1 / T((x * y) \ x,z),y \ 1) \ 1 = K(y \ 1,z) * (x \ (x / y)). [para(439486(a,1),105247(a,2,2)),rewrite([12024(8),323(6),6385(13),323(11)])]. 493392 L(x,y \ ((z * u) \ z),w) = L(x,y \ (z \ (z / u)),w). [para(439486(a,1),239497(a,2,2,2)),rewrite([337(6)])]. 493452 ((((L(x \ L(x,y,z),u,w) \ 1) * v5) \ v5) \ 1) \ 1 = v5 \ ((L(x \ L(x,y,z),u,w) \ 1) \ v5). [para(306917(a,2),439486(a,1,1,1,1)),rewrite([305816(17)])]. 493504 ((x * y) \ x) * y = y * (x \ (x / y)). [para(439486(a,2),345757(a,1,1,1)),rewrite([439486(6),340(4),493237(3),340(4),340(5)])]. 493554 (a(x,y,z) * u) \ a(x,y,z) = a(x,y,z) \ (u \ a(x,y,z)). [para(439486(a,2),432889(a,1,1)),rewrite([413633(8),490936(4),493237(5)])]. 493683 a(x,L((y * z) \ z,u,w),v5) = a(x,L(z \ (z / y),u,w),v5). [back_rewrite(176802),rewrite([493208(8)])]. 493748 ((x \ y) * x) \ (x \ y) = L(1 / x,x,y). [back_rewrite(145115),rewrite([493268(8)])]. 493803 L(x,y \ (y \ (y / z)),u) = L(x,L(z,y,y) \ y,u). [back_rewrite(492608),rewrite([493392(4)])]. 493853 (1 / x) * (y \ (y / (1 / x))) = (x \ 1) * ((y * (1 / x)) \ y). [back_rewrite(481970),rewrite([493504(7)])]. 493912 x * (x * (y \ (y / x))) = (y * (x \ 1)) \ y. [back_rewrite(346933),rewrite([493504(5),61634(6),345764(5)])]. 493958 T(a(x,y,z) \ (u * w),w \ (u \ 1)) = a(x,y,z) \ (((u * w) \ 1) \ 1). [back_rewrite(454445),rewrite([493554(14),426053(13)])]. 494674 a(x,y,z * L(z,u,w)) * (z \ L(z,u,w)) = L(z,u,w) * (z \ a(x,y,z * L(z,u,w))). [hyper(5083,a,397429,a,b,458398,a(flip)),rewrite([72892(8),399934(9),458276(10),72892(9)]),flip(a)]. 494677 L(a(x,y,z) \ 1,u,w) \ (w * u) = a(x,y,z) * (L(w,u,a(x,y,z)) * u). [hyper(5081,a,384961,a,b,397429,a),rewrite([547(7),7735(6),7735(5),399887(5),7735(11),394583(10),400701(13)]),flip(a)]. 494751 a(x,a(y,z,u),w) * ((x * a(y,z,u)) * w) = (a(y,z,u) * x) * (w * a(x,a(y,z,u),w)). [para(1143(a,2),397429(a,1,1,1)),rewrite([7734(6)]),flip(a)]. 494773 L(x,y * a(z,z,y),u) = L(x,L(y,z,z),u). [para(397429(a,2),25672(a,1,2)),rewrite([5(4),25450(5),443995(6)])]. 494921 (x \ a(x,y,z)) * (u * a(a(x,y,z),x,u)) = (x \ L(a(x,y,z),x,u)) * u. [para(339031(a,1),397429(a,1,1,1)),rewrite([50864(7),7733(6),50864(10),339031(12),452737(12)])]. 495266 T(x * (y \ (y / x)),z) = x * (y \ (y / x)). [hyper(5081,a,235,a,b,493504,a),rewrite([437917(7),335(4),319(5),49(5),493504(7)])]. 495354 (x * (y \ 1)) \ x = x \ (x / (1 / y)). [hyper(5083,a,190931,a,b,493504,a(flip)),rewrite([190931(8),493504(9),493853(9),95796(10),64714(3),43201(8),2244(5)])]. 495417 a(x,y,z \ (y \ z)) * (x * (y * (z \ (z / y)))) = (x * ((z * y) \ z)) * y. [para(493504(a,1),7687(a,1,2,2)),rewrite([438364(3),438652(3)])]. 495420 (x * ((y * z) \ y)) * z = (x * z) * (y \ (y / z)). [para(493504(a,2),7687(a,1,2,2)),rewrite([239473(3),493504(6),495417(8)])]. 495451 L(x,y,z \ (y \ z)) * (y * (z \ (z / y))) = ((z * y) \ z) * (y * x). [para(493504(a,1),11786(a,1,2,2,2)),rewrite([390027(6),335(3),408(4),438762(7),493504(10)]),flip(a)]. 495452 L(x,y \ (z \ y),z) * (z * (y \ (y / z))) = z * ((y \ (y / z)) * x). [para(493504(a,2),11786(a,1,2,2,2)),rewrite([493504(5),390027(6),335(3),408(4),239497(7)]),flip(a)]. 495461 ((x * (y \ (y / x))) * z) / (((y * x) \ y) * (x * z)) = a(y \ (x \ y),x,z). [para(493504(a,1),7337(a,1,1,1)),rewrite([440390(12)])]. 495513 a((x \ (x / y)) \ y,z,u) = a(y * (x \ (y \ x)),z,u). [para(493504(a,1),46633(a,2,1)),rewrite([492725(5),239471(8)])]. 495560 (x / y) * (z \ (z / (x / y))) = (y \ x) * (z \ (z / (y \ x))). [para(493504(a,1),77335(a,2,1)),rewrite([43438(8),2244(3),493504(5),495266(12)]),flip(a)]. 495595 R(1 / x,x,y \ (x \ y)) = x \ 1. [para(493504(a,2),94500(a,2,2)),rewrite([239766(5),493504(10),347395(11),346088(11)])]. 495746 R(x,y,(z \ (z / u)) \ u) = R(x,y,u * (z \ (z / u))). [para(493504(a,1),217015(a,2,3)),rewrite([492725(5)])]. 495748 R(x,y,L(z \ (u \ z),u,u)) = R(x,y,z \ ((1 / u) \ z)). [para(493504(a,2),217262(a,1,3,2)),rewrite([493504(3),493912(4),495354(4),239766(5),239765(9)]),flip(a)]. 495834 R(x,y \ (z \ y),z) = R(x,z,y \ (z \ y)). [para(493504(a,1),6713(a,1,1)),rewrite([495420(7),6713(8),390027(4),335(1),408(2),239766(3),493504(6),390027(7),335(4),408(5),438774(6)]),flip(a)]. 496002 L(x \ y,x \ y,y) = x \ (x / (1 / (x \ y))). [back_rewrite(441474),rewrite([495354(8)])]. 496032 ((a(x,y,z) / u) \ 1) \ ((a(x,y,z) \ u) * (u \ a(x,y,z))) = u \ (u / ((a(x,y,z) / u) \ 1)). [back_rewrite(413767),rewrite([495354(16),413503(14)])]. 496657 (L(x,y,z) \ x) * a(u,w,x * L(x,y,z)) = L(x \ L(x,y,z),w,u) \ 1. [hyper(7088,a,162937,a(flip),b,427798,a),rewrite([292972(3),381611(8),323(6),408(7),292972(10),484058(13),444200(11)]),flip(a)]. 496667 (x * L(x,y,z)) * (L(x * L(x,y,z),u,w) \ K(v5,v6)) = a(x * L(x,y,z),u,w) \ K(v5,v6). [hyper(5081,a,305135,a,b,427798,a),rewrite([304101(6),459548(5),58(5),547(4),194863(13),293077(12),413281(13)]),flip(a)]. 496669 a(x * L(x,y,z),u,w) \ K(v5,v6) = a(w,u,x * L(x,y,z)) * K(v5,v6). [hyper(5081,a,162956,a,b,427798,a),rewrite([484058(6),194863(13),293077(12),413281(13),496667(13)]),flip(a)]. 497066 T(x,T(y / ((z \ u) * z),w)) = T(x,T(y * (z \ (u \ z)),w)). [para(379249(a,2),35720(a,2,2,1,2)),rewrite([417635(5),424250(5),379249(9)]),flip(a)]. 497082 L(L(x \ 1,y,z),x,x \ u) = L(L(1 / x,x,u),y,z). [para(379249(a,2),57669(a,2,1,1)),rewrite([379249(9),493748(9)])]. 497154 (x \ ((L(x,y,z) \ 1) * u)) * x = T(u,x * x) * (1 / L(x,y,z)). [para(61822(a,1),379249(a,1,1)),rewrite([416493(6)]),flip(a)]. 497313 T(x,T(y * (z \ (u \ z)),z)) = T(x,z * ((y / z) / u)). [back_rewrite(425427),rewrite([497066(5)])]. 497411 L(x \ 1,y,z) \ L(L(1 / x,x,u),y,z) = L(x * L(1 / x,x,u),y,z). [hyper(5083,a,497082,a(flip),b,304637,a),rewrite([493268(14),149503(14)])]. 497446 (x / y) * (y \ L(y,z,u)) = x * L(L(1 / y,y,x),z,u). [para(497082(a,1),24258(a,1,2)),rewrite([51(2),150366(12),150420(11)]),flip(a)]. 497509 a(x,y,L(z,u,w) * L(L(1 / z,z,v5),u,w)) = a(x,y,L(z * L(1 / z,z,v5),u,w)). [para(497082(a,1),72892(a,1,3,2)),rewrite([497411(8),497082(14),158247(15)]),flip(a)]. 497830 R((x \ y) / L(x,z,u),x,x) = (L(x,z,u) \ y) * (x \ 1). [para(407317(a,1),214198(a,1,1))]. 498021 (L(x,y,z) * T((L(x,y,z) \ x) * u,w)) \ (x * T(u,w)) = a(L(x,y,z),x * L(x,y,z),u). [para(442423(a,1),353(a,1,1,2)),rewrite([13983(14),163152(13)])]. 498165 (x * y) / T((L(z,u,w) \ z) * x,y) = ((L(z,u,w) \ z) * x) \ (x * y). [para(442423(a,2),112107(a,1,2)),rewrite([405411(7),414399(7),323(4),48(5),442423(5)])]. 499092 (x * (a(y,z,u) * w)) * a(y,z,u) = a(y,z,u) * (x * (a(y,z,u) * w)). [hyper(5083,a,84077,a,b,400269,a(flip)),rewrite([394565(5),4773(9,R),385118(9),547(7),398836(8),50(9)])]. 499213 a(x,y,z * (u * (a(w,v5,v6) * (a(w,v5,v6) * v7)))) = a(x,y,(v7 * u) * z). [para(400269(a,1),136137(a,1,3,1)),rewrite([400269(6),72751(7),400178(5)]),flip(a)]. 499567 ((1 / (a(x,y,z) \ u)) * u) \ (u * ((a(x,y,z) / u) \ 1)) = (u \ a(x,y,z)) \ (a(x,y,z) \ u). [hyper(295,a,95099,a,b,413769,a),rewrite([206104(8),204273(6),382507(6),394477(6),441917(6),420938(6),420971(8)])]. 499603 L(x,(y \ a(z,u,w)) * (y * a(z,u,w)),v5) = x. [para(413769(a,1),25426(a,2,2)),rewrite([77943(10),25862(8),413803(5),444432(6),51(4),321(4),345803(6),443999(6)]),flip(a)]. 499614 ((x \ a(y,z,u)) \ x) \ x = a(y,z,u) / x. [para(413769(a,1),12004(a,2,1)),rewrite([413529(6),83407(9),28083(9),28057(7),441836(7),450150(7),411(10,R),386876(10),411(8)]),flip(a)]. 499657 a(x,y,z) * ((u \ a(x,y,z)) \ (a(x,y,z) \ u)) = (u \ a(x,y,z)) \ u. [para(413769(a,2),168799(a,1,1,2)),rewrite([413769(9),393579(9),345803(9),443999(9),499603(9),6706(7),101346(10)]),flip(a)]. 499770 (a(x,y,z) \ (u \ a(w,v5,v6))) \ L(u \ 1,u,a(w,v5,v6)) = a(w,v5,v6) \ a(x,y,z). [para(268789(a,2),431551(a,1,2)),rewrite([561(8),393579(8)])]. 499817 ((x \ y) \ 1) * ((y \ x) \ (((x \ y) \ 1) \ z)) = (y \ x) \ z. [hyper(295,a,243771,a,b,379947,a),rewrite([382462(8),49(7),374267(6),324(3),374196(7),121044(6),115174(5),412(4)]),flip(a)]. 500662 (x * (a(y,z,u) * w)) / x = a(y,z,u) * ((x * w) / x). [hyper(5142,a,435336,a(flip),b,43136,a),rewrite([9510(9),1039(8),7726(9),41903(8)]),flip(a)]. 500783 (T(x,y) * (z * a(u,w,v5))) / T(x,v6) = a(u,w,v5) * ((T(x,y) * z) / T(x,v6)). [para(18820(a,1),435336(a,2,2,1)),rewrite([86308(6),60(7),140480(8),60(12),140480(13)])]. 500938 T((x * (y * a(z,u,w))) / x,v5) = T(a(z,u,w) * ((x * y) / x),v5). [back_rewrite(15516),rewrite([500662(4)]),flip(a)]. 500965 L(a(x,y,z),u,u * a(x,y,z)) \ u = L(a(x,y,z) \ u,u,a(x,y,z)). [hyper(5083,a,397553,a(flip),b,61780,a),rewrite([395104(8),13028(9),431862(7),256282(11),397572(13),56(13)])]. 501091 (x \ a(y,z,u)) \ ((a(y,z,u) \ x) \ 1) = a(a(y,z,u) * x,x,a(y,z,u)). [para(345757(a,1),397553(a,1,1)),rewrite([385657(11),413546(9),53(9),323(8),307734(7),385657(12),413546(10),12554(11),395104(11)])]. 501607 1 / (a(x,y,x) * z) = a(x,y,x) \ (1 / z). [hyper(295,a,89231,a(flip),b,493036,a),rewrite([437100(5),6706(7),399294(8)]),flip(a)]. 501661 a(x * ((y \ (1 / z)) \ u),w,v5) = a(((y \ z) \ u) * x,w,v5). [para(493036(a,1),13826(a,2,1,2,1)),rewrite([72042(4),12650(6),13838(4),13826(10)]),flip(a)]. 501695 L(x,(y \ (z \ 1)) \ u,w) = L(x,(y \ z) \ u,w). [para(493036(a,1),34030(a,2,2,1)),rewrite([26339(5),235855(6),78924(5),28029(3),28029(8),489415(8)]),flip(a)]. 501748 a(x \ ((y \ (1 / z)) \ u),w,v5) = a(x \ ((y \ z) \ u),w,v5). [para(493036(a,1),96369(a,2,1,2,1)),rewrite([72042(4),69477(6),96369(4),96369(10)]),flip(a)]. 501816 R(x,y \ (z \ 1),u) = R(x,y \ z,u). [para(493036(a,1),216240(a,1,2)),rewrite([214508(4),216240(4),206011(8)])]. 501960 L(x,y,z) * a(u,w,u) = L(a(u,w,u) * x,y,z). [back_rewrite(428921),rewrite([501607(4),428928(9),81391(7),148927(7),397596(5),29936(3),50(4),475209(5)])]. 502017 a(x \ ((y \ (L(y,z,u) \ 1)) \ w),v5,v6) = a(x \ ((y \ L(y,z,u)) \ w),v5,v6). [back_rewrite(355744),rewrite([501748(7)]),flip(a)]. 502050 R(x,(y \ z) \ (z \ y),u) = R(x,(z \ y) * (y \ z),u). [back_rewrite(347510),rewrite([501816(6)])]. 502070 (x \ (1 / y)) * L(y,z,u) = (x \ y) * L(y \ 1,z,u). [back_rewrite(216335),rewrite([501816(5),217766(6)]),flip(a)]. 502083 (x \ (y \ 1)) * L(y,z,u) = (x \ y) * L(1 / y,z,u). [back_rewrite(99261),rewrite([501816(5),311786(8)]),flip(a)]. 502166 (x \ L(x,y,z)) * L(L(x,y,z) \ 1,u,w) = x \ L(x \ L(x,u,w),y,z). [back_rewrite(355524),rewrite([502070(7)])]. 502341 a(x,y,z) * (u \ (a(x,y,z) \ 1)) = a(x,y,z) \ (u \ a(x,y,z)). [hyper(5083,a,502070,a(flip),b,398604,a),rewrite([388135(10),303563(10),388653(6),384980(7),397148(6),6706(7),101346(10)]),flip(a)]. 502645 (x * L(1 / x,y,z)) * L(x,u,w) = (x * L(x,y,z)) * L(x \ 1,u,w). [para(309068(a,1),502070(a,2,1)),rewrite([310983(6)])]. 502665 (x \ (R(y,z,u) \ y)) * (y \ R(y,z,u)) = (x \ (y \ R(y,z,u))) * (R(y,z,u) \ y). [para(345237(a,1),502070(a,1,2)),rewrite([257666(4),358191(4),358191(13),358384(13)])]. 502696 (x \ (L(y,z,u) \ y)) * (y \ L(y,z,u)) = (x \ (y \ L(y,z,u))) * (L(y,z,u) \ y). [para(396752(a,1),502070(a,1,2)),rewrite([293004(4),305132(4),305132(13),399611(13)])]. 502767 (x * L(x,y,z)) * L(x \ 1,y,z) = x * (L(x,y,z) * L(1 / x,y,z)). [back_rewrite(343116),rewrite([502645(6)])]. 502772 a(x,y,z * L(z,u,w)) * (L(z,u,w) \ z) = L(z \ L(z,u,w),y,x) \ 1. [back_rewrite(355820),rewrite([502696(9),484058(6)])]. 502780 L(x,y * (L(y,z,u) * L(1 / y,z,u)),w) = L(x,y,w). [back_rewrite(345647),rewrite([502767(6)])]. 502826 (x \ L(x,y,z)) * L(L(1 / x,y,z) \ 1,u,w) = x * L(x \ L(x,u,w),y,z). [hyper(5081,a,193473,a,b,502166,a),rewrite([304580(9),324(6),48(6),349953(8),75863(8),60(7),292972(6),173496(6),304580(10),324(7),48(7)]),flip(a)]. 502953 (x \ R(x,y,z)) \ a(a(x,y,z),u,w) = (R(x,y,z) \ x) * a(a(x,y,z),u,w). [para(256868(a,1),502166(a,1,1,2)),rewrite([358405(4),256868(8),428354(9),397750(9),304101(13),62852(13),384107(15)]),flip(a)]. 502981 x * L(x \ L(x,x,y),z,u) = x * L(x * ((y * x) \ y),z,u). [para(402396(a,1),502166(a,2,2,1,2)),rewrite([304580(6),324(3),48(3),502826(9),438919(11),303226(11),345745(9)])]. 503084 R(x,y \ a(z,u,a(w,v5,v6)),v7) = R(x,y,v7). [para(12981(a,2),501816(a,2,2)),rewrite([386756(4),48(4),396574(4),12981(6)]),flip(a)]. 503100 R(x,(y \ 1) \ z,u) = R(x,y \ z,u). [para(68847(a,1),501816(a,1,2)),rewrite([206751(6),216172(8)])]. 503150 R(x,y \ L(y,z,u),w) = R(x,y * L(y,z,u),w). [para(309068(a,1),501816(a,2,2)),rewrite([292991(6)])]. 503161 R(x,L(y,z,a(u,w,v5)),v6) = R(x,y,v6). [para(394196(a,1),501816(a,2,2)),rewrite([386756(6),48(6),396574(6),206751(6)])]. 503164 R(x,L(y \ L(y,z,u),w,v5) \ a(v5,w,y * L(y,z,u)),v6) = R(x,y * L(y,z,u),v6). [para(459556(a,1),501816(a,2,2)),rewrite([483762(8),306162(11),503150(11)])]. 503241 R(x,y \ (z * L(z \ y,u,w)),v5) = R(x,(y \ z) * L(z / y,u,w),v5). [back_rewrite(309904),rewrite([503100(7),306695(5)])]. 503373 R((L(x,y,z) \ x) \ u,x * L(x,y,z),L(x,y,z)) = (u / x) * L(x,y,z). [back_rewrite(407281),rewrite([503150(7)])]. 503375 ((x * (L(y,z,u) \ y)) / y) * L(y,z,u) = R(x,y * L(y,z,u),L(y,z,u)). [back_rewrite(407279),rewrite([503150(10)])]. 503391 (((x \ L(x,y,z)) * u) * w) / ((x \ L(x,y,z)) * w) = R(u,x * L(x,y,z),w). [back_rewrite(349687),rewrite([503150(11)])]. 503422 R(x,L(y,z,u) \ y,w) = R(x,y * L(y,z,u),w). [back_rewrite(306162),rewrite([503150(6)])]. 503464 R(x,L(y / z,u,w) \ (z \ y),v5) = R(x,(z \ y) * L(y / z,u,w),v5). [back_rewrite(306695),rewrite([503241(10)])]. 503497 R(x,y * L(y,z,u),L(y,z,u)) = L(x,y * L(y,z,u),L(y,z,u)). [para(50(a,1),503373(a,1,1)),rewrite([159330(10),170335(10)])]. 503498 L(T((L(x,y,z) \ x) \ u,w),x * L(x,y,z),L(x,y,z)) = T((u / x) * L(x,y,z),w). [para(503373(a,1),61(a,1,1)),rewrite([503497(12)]),flip(a)]. 503499 L(L((L(x,y,z) \ x) \ u,w,v5),x * L(x,y,z),L(x,y,z)) = L((u / x) * L(x,y,z),w,v5). [para(503373(a,1),63(a,2,1)),rewrite([503497(8)])]. 503516 R((L(x \ y,z,u) \ (x \ y)) \ w,(x \ y) * L(y / x,z,u),L(x \ y,z,u)) = (w / (y / x)) * L(y / x,z,u). [para(42098(a,2),503373(a,2,1)),rewrite([306668(4),231757(12),216479(12),42098(17)])]. 503526 (T(x,y) / z) * L(z,u,w) = T((x / z) * L(z,u,w),y). [para(95539(a,2),503373(a,1,1)),rewrite([95539(5),376260(4),503497(8),503498(8)]),flip(a)]. 503540 (L(T(x,y),z,u) \ x) * (L(T(x,y),z,u) * (x \ w)) = (L(x,z,u) \ x) * ((w / x) * L(x,z,u)). [para(503373(a,1),284526(a,2,2)),rewrite([60(2),60(5),503497(11),165279(11)])]. 503557 (L(a(x,y,z),u,w) \ v5) * L(L(a(x,y,z),u,w),v6,v7) = v5 * a(a(x,y,z),v6,v7). [para(452196(a,2),503373(a,1,1,1)),rewrite([452669(7),389301(8),386756(3),503497(13),444830(13),458270(11),118297(6)]),flip(a)]. 503565 ((x * (L(y,z,u) \ y)) / y) * L(y,z,u) = L(x,y * L(y,z,u),L(y,z,u)). [back_rewrite(503375),rewrite([503497(10)])]. 504296 L(x,y,z) * (x \ a(u,w,x * L(x,y,z))) = L(L(x,y,z) \ x,w,u) \ 1. [hyper(7088,a,379420,a,b,427806,a),rewrite([408211(8),323(6),408(7),48(11),91483(13),484059(13),458000(11)]),flip(a)]. 504347 x / L(y \ x,z,u) = L(x / y,z,u) \ x. [hyper(5081,a,162923,a(flip),b,379420,a),rewrite([51(5)]),flip(a)]. 504367 (x * y) / L(T(y,z),u,w) = (x / L(T(y,z),u,w)) * y. [hyper(5142,a,379420,a(flip),b,41903,a),rewrite([6159(5),9510(5),7726(5),105121(4),410(5),60(7)]),flip(a)]. 504393 a(L(x,y,z) \ (u * x),w,v5) = a(x * (L(x,y,z) \ u),w,v5). [para(379420(a,1),12554(a,1,1)),flip(a)]. 504398 (x * (L(x,y,z) \ u)) * x = x * (L(x,y,z) \ (u * x)). [para(14227(a,1),379420(a,1,1)),rewrite([504367(5),380225(4),118476(10)])]. 504411 L(x,L(y,z,u) \ (w * y),v5) = L(x,y * (L(y,z,u) \ w),v5). [para(379420(a,1),28057(a,1,2)),flip(a)]. 504534 T((x * y) * (L(x,z,u) \ 1),x) = (y * x) * (L(x,z,u) \ 1). [para(379420(a,1),214198(a,1,1)),rewrite([249331(6)])]. 504563 (x * (a(y,z,u) * x)) / L(x,w,v5) = x * (x * (L(x,w,v5) \ a(y,z,u))). [para(7751(a,1),379420(a,1,1)),rewrite([162681(9)])]. 504567 ((1 / x) * (L(x,y,z) \ u)) * x = (1 / x) * (L(x,y,z) \ (u * x)). [para(379420(a,2),278051(a,1,2,1)),rewrite([379420(5),380418(6)]),flip(a)]. 504631 a(x,y,z * L(z,u,w)) * (z \ L(z,u,w)) = L(L(z,u,w) \ z,y,x) \ 1. [back_rewrite(494674),rewrite([504296(12)])]. 504741 R(x * (L(x,y,z) \ u),L(x,y,z),L(x,y,z)) = (u * x) * (L(x,y,z) \ 1). [back_rewrite(249331),rewrite([504534(12)])]. 504901 K(x,y) / L(z \ 1,u,w) = 1 / L(z \ K(y,x),u,w). [para(504347(a,1),75459(a,1,2)),rewrite([256473(7)]),flip(a)]. 505007 R(x,y \ (L(z / u,w,v5) \ z),v6) = R(x,y \ (L(u \ z,w,v5) \ z),v6). [para(504347(a,1),216240(a,1,2,2))]. 505057 L(1 / (x * y),z,u) \ K(y,x) = L(1 / (y * x),z,u) \ 1. [para(318850(a,1),504347(a,1,2,1)),rewrite([504901(6),318850(4),504347(6),320555(9)]),flip(a)]. 505168 (x * y) * (L(x * y,z,u) \ (y * x)) = L(1 / (y * x),z,u) \ 1. [back_rewrite(354058),rewrite([505057(12)])]. 505401 T(L(x,y,z) * (L(L(x,y,z),u,w) \ v5),x) = L(L(x,y,z),u,w) \ (v5 * L(x,y,z)). [hyper(7088,a,162924,a,b,504398,a),rewrite([6174(7),162924(14),50(15)])]. 505580 x * (L(x,y,z) \ (u * (x \ 1))) = R(u / L(x,y,z),x,x). [hyper(5081,a,69321,a,b,504398,a),rewrite([228047(9),50(2),162882(13),300968(12)])]. 505594 (L(a(x,y,z),u,w) \ v5) * K(v6,v7) = v5 * (L(a(x,y,z),u,w) \ K(v6,v7)). [hyper(5081,a,397180,a(flip),b,504398,a),rewrite([397582(11),277057(11),354781(9),397087(9),400018(7),16925(8),394737(5),385017(8),400742(6),388653(5),397922(6),410(7),162883(14),399873(10),430331(12),431862(11)])]. 505645 x * (L(x,y,z) \ T(u,w)) = T(x * (L(x,y,z) \ u),w). [hyper(5142,a,504398,a(flip),b,7760,a),rewrite([424296(8),51(6),231319(7),118304(5),379420(3),7726(5),95539(4)])]. 506052 a(x * (L(x,y,z) * (u * L(x,x,x))),w,a(v5,v6,v7)) = a(u * L(x,y,z),w,a(v5,v6,v7)). [para(504398(a,2),419302(a,2,1)),rewrite([381372(3),158793(4),158808(5),504398(11),396215(13),158793(10),26392(13),395103(12)])]. 506069 a(x,y,a(z,u,w)) * (v5 * L(a(z,u,w),v6,v7)) = L(L(a(z,u,w),v6,v7) \ 1,y,x) \ v5. [para(504398(a,1),398604(a,1,2)),rewrite([400016(8),400007(7),388668(8),388653(4),399873(11),394567(12)]),flip(a)]. 506085 ((1 / x) \ L(x,y,z)) * x = L(x * (x * x),y,z). [para(89811(a,1),504398(a,1,1,2)),rewrite([464010(4),150510(2),381372(2),160759(3),66480(12),309068(11),158808(10),70971(11),163055(11),50(10),25976(8)])]. 506154 T(x,y) \ T(z * (L(z,u,w) \ x),y) = x \ (z * (L(z,u,w) \ x)). [back_rewrite(314056),rewrite([505645(5)])]. 506336 (L(L(x,y,z),u,w) \ v5) * L(R(x,v5 * x,x),y,z) = L(L(x,y,z),u,w) \ (v5 * L(x,y,z)). [hyper(5081,a,376708,a,b,505645,a),rewrite([372987(7),416438(7),416438(6),505645(13),505401(13)])]. 506746 T(x * (L(x,y,z) \ u),w) / T(u,w) = u \ (x * (L(x,y,z) \ u)). [para(505645(a,1),313682(a,1,1)),rewrite([505645(11),506154(12)])]. 506944 ((x \ (y * (L(y,z,u) \ x))) \ w) \ w = x \ (y * (L(y,z,u) \ x)). [hyper(5081,a,340,a,b,506746,a),rewrite([314140(5),506746(12)])]. 507158 (x * y) / T(x * a(z,u,w),y) = (x * a(z,u,w)) \ (x * y). [hyper(5083,a,399213,a(flip),b,231376,a(flip)),rewrite([5754(8),54714(8),562(4),15140(4),15432(10)]),flip(a)]. 507469 a(x,y,z) * (a(x,y,z) * ((a(x,y,z) * u) \ w)) = (a(x,y,z) \ u) \ w. [para(399213(a,1),154946(a,1,1)),rewrite([22473(6),22924(5),6706(3),397122(4),394690(7),400179(10)]),flip(a)]. 507605 L(x \ L(x,y,y \ z),x,z) = a(y \ z,y,x) \ 1. [hyper(295,a,11892,a,b,397948,a),rewrite([26456(4)])]. 508075 a(a(x,y,z),u,L(w,v5,v6) * (w \ u)) = a(a(x,y,z),u,w * (L(w,v5,v6) * u)). [para(457477(a,1),397948(a,1,1)),rewrite([458191(11),26456(10),452750(7),382653(7),136013(5),453269(5),395104(10),396183(10),158808(8),386756(12),48(12)])]. 508149 L(x \ L(x,y,z),x,y * z) = a(z,y,x) \ 1. [para(50(a,1),507605(a,1,1,2,3)),rewrite([50(6)])]. 508183 a(x,x * L(x,y,z),u) \ 1 = a(u,x * L(x,y,z),x). [para(63806(a,2),507605(a,1,1,2,3)),rewrite([63806(4),83146(3),389575(6),64094(6),350626(6)]),flip(a)]. 508303 (L(x,y,z) * u) \ (x * (u * (x \ L(x,y,z)))) = a(u,x * L(x,y,z),x). [back_rewrite(398613),rewrite([508183(12)])]. 508455 (x / (y \ (z * z))) / ((y \ (z * z)) \ 1) = (x / y) / (y \ 1). [para(66364(a,2),407304(a,2,2)),rewrite([66419(4),303918(3),179795(6),172565(5),335(4),66364(13)]),flip(a)]. 508515 R(x / ((y / z) / (z \ 1)),z \ ((1 / z) \ y),z) = (x * z) / (y / (1 / z)). [para(407304(a,1),204224(a,1,1,2)),rewrite([216240(10)])]. 508517 (x * (y \ 1)) / (z / y) = (x * y) / (z / (1 / y)). [para(407304(a,2),204224(a,1,1,2)),rewrite([407304(4),206104(12),216240(10),354827(9),508515(10)]),flip(a)]. 508552 (x * R(x \ (y * y),z,u)) / y = (x \ R(x,z,u)) / (y \ 1). [para(257648(a,1),407304(a,2,1)),rewrite([329452(6)])]. 508591 ((x \ 1) \ a(y,z,u)) / x = (a(y,z,u) / x) / (x \ 1). [para(413546(a,2),407304(a,1,1)),rewrite([23218(7),420443(7)])]. 508623 (x * y) / (x / (1 / y)) = (x / y) \ (x * (y \ 1)). [back_rewrite(268729),rewrite([508517(5)])]. 508823 (x * x) * ((y \ L(y,z,u)) / x) = (y / x) \ L(y,z,u). [hyper(5142,a,457478,a(flip),b,401903,a),rewrite([150375(4),350025(5),320(9),487119(10)])]. 508925 ((1 / x) \ (a(y,z,u) \ 1)) * x = a(y,z,u) \ (x * x). [hyper(5081,a,397122,a(flip),b,401903,a),rewrite([487127(9)]),flip(a)]. 509465 ((1 / x) \ y) * L((x \ y) \ (x \ 1),z,u) = (y / x) \ L(y,z,u). [back_rewrite(443327),rewrite([508823(14)])]. 509571 a(x,y,x) * L(z,u,w) = L(a(x,y,x) * z,u,w). [hyper(5083,a,69930,a(flip),b,465977,a),rewrite([475191(7),465976(4)])]. 509574 a(x,y,x) \ L(z,u,w) = L(a(x,y,x) \ z,u,w). [hyper(5083,a,465977,a,b,69930,a(flip)),rewrite([465977(7),69930(6),509571(6),51(5)])]. 509747 x \ (R(y,z,y) \ x) = L(x \ (y \ x),z,y). [hyper(5083,a,465977,a(flip),b,307607,a(flip)),rewrite([475442(3)])]. 510676 L(x \ (y \ x),y,y) = x \ (T(y,y \ 1) \ x). [para(269952(a,2),509747(a,1,2,1)),rewrite([207080(2)]),flip(a)]. 511080 (x \ L(y,z,u)) * (x * (w * w)) = L((x \ y) * (x * (w * w)),z,u). [para(377886(a,1),7(a,1,1)),rewrite([25958(5),7(4)]),flip(a)]. 511444 a(L(R((x * x) \ y,z,u),w,v5),v6,v7) = a(L(R(y,z,u),w,v5),v6,v7). [para(377886(a,1),280979(a,1,1,1)),rewrite([22655(4),63(4),94071(5),25944(6),63(7)]),flip(a)]. 511490 L(L(L(x,y,z),u,w),L(x * L(x,u,w),y,z),L(x * L(x,u,w),y,z)) = L(L(x,y,z),u,w). [para(377886(a,1),306137(a,1,2)),rewrite([305327(4),379249(9),310694(7),323(6),49(5),305738(5),422299(13),422279(12)]),flip(a)]. 513074 (x \ a(y,z,u)) \ K(w,x \ 1) = T(x \ a(y,z,u),w) \ 1. [para(451340(a,1),225(a,1,1)),rewrite([382571(11),1039(11),66904(10),23270(10)]),flip(a)]. 513167 (x \ (y \ a(z,u,w))) * K(y \ 1,v5) = x \ T(y \ a(z,u,w),v5). [para(451340(a,1),95539(a,2,2)),rewrite([879(7),407918(6)])]. 514004 (x \ a(y,z,u)) * (x \ 1) = (1 / x) * (a(y,z,u) / x). [hyper(5083,a,399773,a(flip),b,68800,a),rewrite([403185(7),95642(8),64714(4),394659(6),22473(5),22924(2)]),flip(a)]. 514307 a(a(x,y,z) * a(u,w,v5),v6,a(v7,v8,v9)) = 1. [para(399773(a,2),395336(a,1,1,2)),rewrite([399773(5),6706(4),51(5),6706(5),431781(7),399773(7),6706(6),51(7),323(5),6706(4),395104(6)]),flip(a)]. 515204 L(R(x,y,z),u,x) \ x = R(x,y,z) \ R(x,u,x). [para(287722(a,2),464051(a,1,1)),rewrite([287722(2),460560(5),475499(4),209136(6),463987(6)]),flip(a)]. 515286 L(L(x,y,x),z,u) * (x \ L(x,w,v5)) = L(x,z,u) * (x \ L(L(x,y,x),w,v5)). [para(464051(a,2),350965(a,1,1)),rewrite([464051(5),305327(4),304455(3),460042(5),305327(11),304455(10)]),flip(a)]. 515646 ((x * y) \ x) \ K(z,y \ 1) = 1 / T(x \ (x / y),z). [hyper(5142,a,492455,a(flip),b,41903,a),rewrite([129659(7),9510(8),31850(8)])]. 515685 ((x * (y \ x)) \ x) \ 1 = 1 / (x \ y). [para(337(a,1),492455(a,1,2,2)),flip(a)]. 515775 T(1 / T((x * y) \ x,z),y \ 1) = 1 / T(x \ (x / y),z). [para(492455(a,2),104859(a,1,1)),rewrite([492455(4),12016(7),323(5),31850(8),515646(6),12024(13),323(11)]),flip(a)]. 516003 (x \ 1) * (((y * x) \ y) \ 1) = (x \ 1) / ((y * x) \ y). [para(492455(a,2),379947(a,2,2)),rewrite([50(3),48(4),50(7),492455(11)]),flip(a)]. 516028 K(x \ 1,y) * (z \ (z / x)) = T(z \ (z / x),y). [back_rewrite(493271),rewrite([515775(8),340(7)]),flip(a)]. 516127 K(x,y) * (z \ (z / y)) = z \ (z / T(y,x)). [hyper(5083,a,516028,a,b,95823,a),rewrite([74(5),75(5),43676(5),48(3),75(3),553(3),48(5),5754(4)])]. 519562 K((x / y) \ z,u) = K(y * (x \ z),u). [para(340(a,1),374647(a,1,1,1)),flip(a)]. 519622 K(R(x,y,z) \ u,w) = K(x \ u,w). [para(6662(a,1),374647(a,1,1,1)),rewrite([418220(6),371251(6),51(4),418220(4),51(3)]),flip(a)]. 519683 K(x \ (R(y,z,u) \ w),v5) = K(x \ (y \ w),v5). [para(291003(a,2),374647(a,1,1,2)),rewrite([291003(6),191383(7),379683(6),174554(5)]),flip(a)]. 519786 K(x / (y / z),u) = K(x * (z / y),u). [back_rewrite(42308),rewrite([519562(5),26985(5),447178(4)]),flip(a)]. 519839 T(R(x,y,z) \ u,w) * R(x,y,z) = T(x \ u,w) * x. [back_rewrite(289773),rewrite([519622(8),7763(10)])]. 520061 K(x,R(y,z,u) \ w) = K(x,y \ w). [back_rewrite(289768),rewrite([519839(7),38282(6)]),flip(a)]. 520168 T(x,T(R(y,z,u) \ w,v5)) = T(x,T(y \ w,v5)). [para(520061(a,1),186(a,1,2,2)),rewrite([448090(6),186(5)]),flip(a)]. 520232 K(x,(y / z) \ u) = K(x,z * (y \ u)). [para(214198(a,1),520061(a,1,2,1)),rewrite([12016(5),382462(5),324(2)]),flip(a)]. 520271 T(x,T(y / R(z,u,w),v5)) = T(x,T(y / z,v5)). [back_rewrite(297722),rewrite([520168(5),121044(4)]),flip(a)]. 520312 K(x \ y,(y \ x) * z) = K(x \ y,x * (y \ z)). [back_rewrite(382083),rewrite([520232(4)]),flip(a)]. 520555 x * K(y \ z,y * (z \ x)) = (y \ z) * (x / (y \ z)). [back_rewrite(382354),rewrite([520312(4)])]. 521316 T(R(x,y,z) * u,K(w,x * u)) = R(x,y,z) * u. [para(369601(a,1),928(a,1,2)),rewrite([562(5)])]. 521869 T(x,T(y / (R(z,u,w) * v5),v6)) = T(x,T(y / (z * v5),v6)). [para(521316(a,2),35720(a,2,2,1,2)),rewrite([520271(5),35720(4),521316(9)]),flip(a)]. 524378 K((x \ y) * z,u \ x) = K(y * (z / x),x / u). [hyper(295,a,34821,a(flip),b,375088,a),flip(a)]. 524383 K((x \ y) * z,T(x,u) * w) = K(y * (z / x),w * T(x,u)). [hyper(295,a,10720,a(flip),b,375088,a),flip(a)]. 525427 K(x * (y / L(z,u,w)),v5) = K(x * (y / z),v5). [para(423165(a,1),524378(a,2,2)),rewrite([378715(7),382462(6),10756(6),427861(5),447178(4),378715(10),340(8)]),flip(a)]. 530585 x \ (T(y,y \ 1) \ x) = T(x \ (y \ x),y). [hyper(5083,a,9113,a(flip),b,271020,a(flip))]. 531257 R(x,y,z) * T(x \ 1,u) = x * R(T(x \ 1,u),y,z). [para(256863(a,2),271020(a,1,2)),rewrite([256863(5),273569(6),63590(10),323(9)]),flip(a)]. 531346 x * ((y \ x) \ ((x \ y) \ 1)) = R(x,x \ y,y \ x). [para(346044(a,1),271020(a,1,2)),rewrite([307734(5),374845(6),323(3),49(3),15(2),48(5),346044(7),358379(7),418333(9)]),flip(a)]. 531567 L(x \ (y \ x),y,y) = T(x \ (y \ x),y). [back_rewrite(510676),rewrite([530585(8)])]. 531662 R(x,y,z \ ((1 / u) \ z)) = R(x,y,z \ (u \ z)). [back_rewrite(495748),rewrite([531567(3),203025(4)]),flip(a)]. 531963 T(a(x,y,z) \ (u \ a(w,v5,v6)),K(u,v7)) = a(x,y,z) \ (u \ a(w,v5,v6)). [para(407840(a,1),96622(a,1,2)),rewrite([562(8),44462(8),48(6),562(6)])]. 532132 K(x \ T(y,z),T(x,z) * (y \ u)) = K(x \ T(y,z),x * (T(y,z) \ u)). [para(11972(a,2),520312(a,1,1)),rewrite([11972(3),408982(8),380978(8),409278(8),381028(7),372457(7),417863(7),434661(7),520312(6),380561(14),377524(14),423944(14),372457(13),417863(13),524383(13),447119(13),35985(12)]),flip(a)]. 533286 (x \ (1 / L(x,y,z))) \ 1 = (1 / x) \ L(x,y,z). [para(355091(a,2),122381(a,1,1,1)),rewrite([355091(4),309946(8),378715(9),520232(8),324(6),260877(6),525427(6),1816(3),73(5),260877(4),49(2),184866(2),70(2),355845(6)]),flip(a)]. 534672 K(x * y,z) * (x \ 1) = x \ K(y * x,z). [hyper(5081,a,206986,a,b,41140,a),rewrite([373052(4),324(2),5826(3),373052(4),324(2),374267(7),324(5)]),flip(a)]. 534685 (1 / x) * K(y * x,z) = K(x * y,z) / x. [hyper(5081,a,60426,a,b,41140,a),rewrite([519786(4),336(2),60426(4),519562(9),324(7),75459(10)])]. 539933 K(x,K(y,z)) * K(y,u) = K(y,K(z,x) * u). [hyper(5083,a,82,a(flip),b,45297,a),rewrite([1039(5),1671(5),5754(4),73(2),75(2),74(2),9760(7),82(8)])]. 541793 K(x,K(y,z)) * (u * K(y,w)) = u * K(y,K(z,x) * w). [para(539933(a,1),11786(a,1,2,2,2)),rewrite([108231(7),410(6),5539(9),539933(9)])]. 542590 K(x,K(y,z)) * (u * K(x,w)) = u * K(x,K(y,z) * w). [hyper(10621,a,541793,a),rewrite([74(6),75(6)]),flip(a)]. 542855 K(x,K(y,z) * u) * K(x,K(y,z) * u) = K(x,u) * K(x,u). [hyper(266,a,401903,a(flip),b,541793,a),rewrite([74(9),75(9),5754(14),49(14),9510(13),41907(13),5784(11)])]. 542989 K(x,y) * (K(z,K(x,u)) * w) = K(x,K(u,z) * y) * w. [para(541793(a,2),68073(a,1,1)),rewrite([541793(8),542855(7),5754(7),81422(8),9510(6),42788(6),75(3),74(3),5754(4),73(3),75(3),74(3),5754(10),49(10),5754(9)])]. 550212 K(x,T(y,z * u)) * (w * (K(y,T(x,z)) * v5)) = K(y,K(x,u)) * (T(w,K(y,x)) * v5). [hyper(5083,a,10693,a(flip),b,7760,a),rewrite([2598(3),26853(3),5754(8),1039(3),74(11),1373(11),75(10)])]. 551313 (x * T(y,z)) / T(x,z) = T((x * y) / T(x,z),z). [para(43683(a,1),42869(a,1,2)),rewrite([131501(6),42869(4)]),flip(a)]. 552010 T(x * R(x \ K(y,z),u,w),y) = x * R(x \ K(y,z),u,w). [para(257670(a,1),551313(a,2,1,1)),rewrite([152866(6),257670(6),358448(5),358448(9)]),flip(a)]. 552890 K(x * y,z) * T(u,x) = T(K(y * x,z) * u,x). [para(181(a,1),43658(a,1,1))]. 553126 K(x * y,z) * T(u,y) = T(K(y * x,z) * u,y). [para(2530(a,1),43658(a,1,1))]. 562240 K(x,y * z) * (y \ T(z * y,x)) = T(z,y). [para(203(a,1),89113(a,1,1,2)),rewrite([10703(4),7197(3),410(4)])]. 562363 L(x \ T(x * y,z),u,w) = L(y * K(x * y,z),u,w). [para(89113(a,1),24267(a,1,2,2,2)),rewrite([12013(7),56(6),26458(4),41141(3),5538(10),26505(11)]),flip(a)]. 562734 (x \ T(x * y,z)) * K(y,u) = K(y * x,z) * T(y,u). [para(89113(a,1),153161(a,1,1,2,1)),rewrite([5539(10),9510(9),48(9),89113(13)])]. 562936 T(x * y,y \ T(y * x,z)) = T(x * y,x). [para(89113(a,1),11492(a,1,2)),flip(a)]. 564253 T(x,y) \ T(x * y,z) = T(y * K(y * x,z),x). [hyper(5083,a,196,a(flip),b,562240,a),rewrite([229(3),5754(4),553126(4),39996(3),410(7)]),flip(a)]. 564465 (x \ T(y * x,z)) * K(z,x * y) = T(T(y,x),x \ T(y * x,z)). [para(562240(a,1),10078(a,1,1)),flip(a)]. 564569 T(x,T(y * (z \ (u \ z)),w)) = T(x,T(y / T(u,z),w)). [para(562240(a,1),35720(a,2,2,1,2)),rewrite([9510(7),424250(9),418080(9),41141(5),41109(6),11215(6),562(5),111125(5),418113(7),424848(5)])]. 564849 T(T(x,y),y \ T(x * y,z)) = T(x,T(y,z)). [para(562240(a,1),24832(a,2,1)),rewrite([5826(11),564465(6),11427(9),41141(8),54900(9)])]. 565360 T(x,y * ((z / y) / u)) = T(x,T(z / T(u,y),y)). [back_rewrite(497313),rewrite([564569(5)]),flip(a)]. 565384 (x \ T(y * x,z)) * K(z,x * y) = T(y,T(x,z)). [back_rewrite(564465),rewrite([564849(11)])]. 565641 L(x * K(y * x,z),y,z) = (z * y) \ ((y * x) * z). [hyper(295,a,11972,a(flip),b,562363,a),flip(a)]. 565715 L(K(x,y) * (z * K(y * z,u)),w,v5) = L(T(y,x) \ T(y * z,u),w,v5). [para(7760(a,1),562363(a,1,1,2,1)),rewrite([7760(11),7726(10)]),flip(a)]. 566426 (L(a(x,y,z),u,w) * v5) \ ((v5 * v6) * L(a(x,y,z),u,w)) = L(v6,v5,a(x,y,z)). [hyper(295,a,339196,a(flip),b,565641,a),rewrite([5537(4),70(3),49(2)]),flip(a)]. 566509 L(L(x * K(y * x,z),u,w),y,z) = L((z * y) \ ((y * x) * z),u,w). [para(565641(a,1),64(a,1,1)),flip(a)]. 566581 (x * y) \ ((y * L(z,u,w)) * x) = L((x * y) \ ((y * z) * x),u,w). [para(14160(a,2),565641(a,2,2)),rewrite([376474(4),26653(4),566509(5),14160(11)]),flip(a)]. 566795 L(x,(y * z) \ ((z * u) * y),w) = L(x,L(u,z,y),w). [para(565641(a,1),70578(a,2,2)),rewrite([12023(5),328969(5),79006(5)]),flip(a)]. 567394 L(L(x,y,z) \ T(u,x),x,x) = (1 / x) * (L(x,y,z) \ (u * x)). [para(504398(a,1),565641(a,2,2)),rewrite([427858(6),51(4),95539(4),22473(10),22924(6)])]. 567542 (L(a(x,y,z),u,w) * v5) \ L(a(x,y,z),u,w) = a(x,y,z) \ (v5 \ a(x,y,z)). [hyper(5081,a,25395,a(flip),b,566426,a),rewrite([547(2),493554(4),70(9),51(10),48(11)]),flip(a)]. 567543 (L(a(x,y,z),u,w) * v5) \ (v6 * L(a(x,y,z),u,w)) = (a(x,y,z) * v5) \ (v6 * a(x,y,z)). [hyper(5081,a,11972,a(flip),b,566426,a),rewrite([561(10),51(10)]),flip(a)]. 567568 L(x,x \ y,a(z,u,w)) = (a(z,u,w) * (y / x)) \ (y * a(z,u,w)). [para(53(a,1),566426(a,1,2,1)),rewrite([567543(8),28057(9)]),flip(a)]. 567632 L(x,y,z * (L(a(u,w,v5),v6,v7) * v8)) = L(x,y,a(u,w,v5) * (z * v8)). [para(566426(a,1),83736(a,1,3,2,1)),rewrite([452201(7),83724(6),444812(5)]),flip(a)]. 567693 L(x,y,L(L(z,u,a(w,v5,v6)),v7,v8)) = L(x,y,L(z,v7,v8)). [para(566426(a,2),210014(a,1,3)),rewrite([566581(10),567543(9),15071(7),210014(5),339647(8)])]. 567775 (x * L(a(y,z,u),w,v5)) \ L(a(y,z,u),w,v5) = a(y,z,u) \ (x \ a(y,z,u)). [back_rewrite(452327),rewrite([567542(6)]),flip(a)]. 568406 (x * a(y,z,u)) \ a(y,z,u) = a(y,z,u) \ (x \ a(y,z,u)). [hyper(5081,a,52447,a(flip),b,567543,a),rewrite([11515(4),452214(8),26458(12),173580(13),452461(13),567775(10),211200(10)])]. 568440 a(x \ (L(a(y,z,u),w,v5) \ v6),v7,v8) = a(x \ (v6 * L(a(y,z,u),w,v5)),v7,v8). [para(567543(a,1),69459(a,1,1,2)),rewrite([452453(7),400016(6),16922(5),400742(5),388653(4),397922(5)])]. 568477 L(L(a(x,y,z),u,w),v5,v6) \ (v7 * L(a(x,y,z),u,w)) = v7 * a(v6,v5,a(x,y,z)). [para(304637(a,1),567543(a,1,1)),rewrite([382653(12),5530(11),383788(11),400016(12)])]. 571754 x \ (K(y * y,z) * u) = K(y * y,z) * (x \ u). [para(23975(a,1),41963(a,2,2,1)),rewrite([105992(5)]),flip(a)]. 571948 T(x,T(y \ R(z,u,w),v5)) = T(x,T(y \ z,v5)). [para(288055(a,1),186(a,1,2,2)),rewrite([447465(6),186(5)]),flip(a)]. 576990 (K(x,y) / z) * (L(1 / z,u,w) \ v5) = K(x,y) * (z * (L(z,u,w) \ v5)). [hyper(5083,a,379420,a,b,76705,a),rewrite([379420(8),162842(8),162882(8),5754(5)]),flip(a)]. 577972 K(x,y) * (((L(y,z,u) \ w) * v5) * v6) = ((L(T(y,x),z,u) \ w) * v5) * v6. [para(47507(a,1),7687(a,2,1)),rewrite([8(5),48(8)])]. 578014 L(x,(L(T(y,z),u,w) \ v5) * v6,v7) = L(x,(L(y,u,w) \ v5) * v6,v7). [para(47507(a,1),24266(a,1,1,2)),rewrite([5538(12),7725(12),577972(11),56(12),5538(10),26403(11)])]. 580326 ((x * y) \ T(z,K(x,y))) \ K(y,T(x,z)) = ((x * y) \ z) \ K(y,x). [para(21004(a,1),248(a,1,1,1)),rewrite([9510(5),52425(5),12024(8),2598(8),27834(8),3545(8),27834(7),11014(7)])]. 580792 (x * y) \ T(z,K(x,y)) = T((x * y) \ z,K(x,y)). [para(21004(a,1),202072(a,2,1)),rewrite([9510(5),48(5),253590(4),12024(8),2598(8),27834(8),3545(8),27834(7),11014(7),11774(7),43663(5),166695(4),5754(10),49(10),52425(9)]),flip(a)]. 580921 (T(x,y) * y) \ (L(x,z,u) * y) = y \ (x \ (y * L(x,z,u))). [para(304442(a,1),21004(a,1,2)),rewrite([458986(6),381459(4)]),flip(a)]. 580973 R(x * K(y \ x,x \ y),x \ y,y \ x) = ((y \ x) * (x \ y)) \ x. [para(346044(a,1),21004(a,1,2)),rewrite([201268(7),41154(4),31617(3),345757(12)])]. 581256 ((x * y) \ z) \ K(y,x) = ((y * x) \ z) \ 1. [back_rewrite(580326),rewrite([580792(4),54612(7),124987(7),100271(7),166695(4)]),flip(a)]. 584822 L(x,y,z) \ (T(x,u) \ w) = x \ (L(T(x,u),y,z) \ w). [hyper(5083,a,354134,a(flip),b,11208,a),rewrite([5754(7),8936(7)]),flip(a)]. 587757 K(x,y) * ((x / z) / u) = (T(x,y) / z) / u. [para(176373(a,1),230094(a,1,1)),rewrite([5539(6)]),flip(a)]. 590589 x \ (R(y,z,u) * (y \ x)) = x \ ((x / y) * R(y,z,u)). [para(492455(a,2),284519(a,2,2,1)),rewrite([49(8),491430(9),272432(10),272488(6),151404(5),492455(10),272385(12),272488(10),50(7),491520(8)])]. 590732 T(T(R(x,y,z) * (x \ u),w) / T(u,w),u) = T(u,w) \ T(R(x,y,z) * (x \ u),w). [hyper(5081,a,105197,a,b,590589,a),rewrite([287139(4),287139(8),196(9),446086(8),51(6),196(6),287039(12)])]. 590735 (T(x,y) * z) \ (((T(x,y) * z) / u) * R(u,w,v5)) = (x * z) \ (R(u,w,v5) * (u \ (x * z))). [hyper(5081,a,52208,a,b,590589,a),rewrite([235782(8)])]. 590750 T(x,y) \ T(R(z,u,w) * (z \ x),y) = x \ ((x / z) * R(z,u,w)). [hyper(295,a,60348,a,b,590589,a),rewrite([288433(9),51(7),104859(7),590732(7)])]. 590751 (x * T(y,z)) \ (R(u,w,v5) * (u \ (x * T(y,z)))) = (x * y) \ (((x * y) / u) * R(u,w,v5)). [hyper(295,a,52447,a,b,590589,a),rewrite([287039(9),410(10),7726(8),97409(7),287139(17),590750(18)])]. 590752 (x * T(y,z)) \ (((x * T(y,z)) / u) * R(u,w,v5)) = (x * y) \ (((x * y) / u) * R(u,w,v5)). [hyper(295,a,20984,a,b,590589,a),rewrite([20984(9),590751(8)]),flip(a)]. 590800 (x \ ((x / y) * R(y,z,u))) * K(x,w) = x \ T(R(y,z,u) * (y \ x),w). [hyper(5142,a,590589,a(flip),b,60348,a),rewrite([288433(8),51(6),9510(6)])]. 590818 (1 / x) \ (y \ R(y,z,u)) = (y / x) \ R(y,z,u). [hyper(5083,a,590589,a(flip),b,61780,a),rewrite([275489(7),50(8),273450(9),62675(10),285310(10)])]. 591292 (x * y) \ (z \ ((z * y) * T(x,y))) = a(z,y,x). [back_rewrite(492146),rewrite([590752(10),590735(8),205574(5)])]. 591398 x \ ((x * y) * T(z,y)) = (z * y) * a(x,y,z). [hyper(5457,a,591292,a),flip(a)]. 591438 (x \ ((x * y) * T(z,y))) / (z * y) = a(x,y,z). [hyper(295,a,2244,a,b,591292,a),rewrite([591292(11),561(7)])]. 591495 x * ((y * z) * a(x,z,y)) = (x * z) * T(y,z). [para(591292(a,1),255(a,2,2,2,1)),rewrite([14017(8),547(4),266418(4),547(6)]),flip(a)]. 591615 (x * (y \ 1)) \ (y \ T(x,y \ 1)) = a(y,y,x). [para(62160(a,1),591292(a,1,2,2,1)),rewrite([68101(12),156529(12),354827(10),58(9),23218(6),50864(13),46610(11)])]. 591909 a(x,y,L(x,z,u)) = a(x,y,x). [para(377027(a,1),591292(a,1,2,2)),rewrite([58(9),6174(6),152114(5),492031(4),475463(3),50(3),12547(4),401074(3)]),flip(a)]. 592259 a(x,y,z \ (x \ z)) = a(x,y,x). [para(25395(a,1),591909(a,1,3)),rewrite([52483(6),491089(5),46613(5),72881(8),46613(6)])]. 592635 (x * y) \ ((1 / x) \ y) = a(x,x,y). [hyper(295,a,21004,a,b,591615,a),rewrite([490188(15),20984(9),410(4),356769(5),13983(9)])]. 592648 a(x,x,y) * K(x \ 1,y) = (y * (x \ 1)) \ (x \ y). [hyper(5142,a,591615,a(flip),b,96964,a),rewrite([9510(5)])]. 593079 (x \ ((x * y) * z)) / (y * z) = a(x,y,z). [para(189(a,1),591438(a,1,1,2,2)),rewrite([868(8),322864(7),13983(9),13984(8)])]. 593521 x \ ((x * y) * z) = (y * z) * a(x,y,z). [hyper(269,a,531,a,b,593079,a),flip(a)]. 593601 a(x,y,L(z,y,x)) = (y * L(z,y,x)) \ (y * z). [para(380(a,1),593079(a,1,1,2)),rewrite([50(3),313684(4)]),flip(a)]. 594481 L(x,y * z,a(x,y,z)) = x. [hyper(6683,a,593521,a),rewrite([394373(6)])]. 594482 x * ((y * z) * a(x,y,z)) = (x * y) * z. [hyper(5457,a,593521,a)]. 594514 L(x,y,a(z,x,y)) \ (z \ ((z * x) * y)) = y * a(z,x,y). [hyper(5083,a,593521,a,b,398776,a)]. 594542 x \ (y \ ((y * x) * a(z,u,w))) = L(a(z,u,w) \ 1,x,y) \ 1. [hyper(5083,a,593521,a,b,7735,a(flip)),rewrite([394583(9)])]. 594602 (x * y) * a(x,x,y) = (1 / x) \ y. [hyper(295,a,23536,a,b,593521,a),rewrite([22924(2)]),flip(a)]. 594661 a(x * L(x,y,z),x * L(x,y,z),u) \ ((x \ L(x,y,z)) \ u) = (L(x,y,z) \ x) * u. [hyper(7088,a,233947,a(flip),b,593521,a(flip)),rewrite([163152(8),163148(8),561(9),163152(8),163148(8),379966(13),380349(17),308990(17)]),flip(a)]. 594859 ((x \ y) * z) * a(x,x \ y,z) = x \ (y * z). [para(51(a,1),593521(a,1,2,1)),flip(a)]. 595014 x \ ((x * a(y,z,u)) * w) = w * (a(y,z,u) * a(x,a(y,z,u),w)). [para(1143(a,1),593521(a,2,1)),rewrite([7734(9)])]. 595082 (x * L(y,x,z)) * a(z,x,L(y,x,z)) = x * y. [para(380(a,1),593521(a,1,2)),rewrite([50(3)]),flip(a)]. 595268 L(x,y,z) \ ((x \ L(x,y,z)) * u) = ((x \ 1) * u) * a(x,L(x,y,z),u). [para(63806(a,1),593521(a,1,2,1)),rewrite([50864(12),150511(10)])]. 595279 x * a(y,y,y \ x) = y \ ((y \ 1) \ x). [para(68073(a,1),593521(a,1,2)),rewrite([51(6)]),flip(a)]. 595473 ((x * y) * z) * a(x,x * y,z) = (1 / x) \ (L(y,x,x) * z). [para(120583(a,1),593521(a,1,2,1)),rewrite([27440(6),75865(7),12554(11),46613(11)]),flip(a)]. 595495 (1 / x) \ (L(y,x,x) * z) = x \ ((x * (x * y)) * z). [para(3491(a,2),593521(a,1,2,1)),rewrite([3491(3),595473(9)]),flip(a)]. 595594 T(x \ ((x * y) * z),y * z) = a(x,y,z) * (y * z). [para(593521(a,2),24832(a,2,1)),rewrite([385866(5),5524(5)]),flip(a)]. 595802 x \ R(T(x,y),x,y) = (y / (y * x)) * x. [para(233940(a,1),593521(a,1,2)),rewrite([14988(9),491089(9),592259(9),7750(8),281013(7),410(7)])]. 596140 L(x,x,a(y,z,u)) \ (((1 / x) \ a(y,z,u)) * w) = a(y,z,u) * (w * a(x,a(y,z,u),w)). [para(399659(a,1),593521(a,1,2,1)),rewrite([396598(14),7734(13)])]. 596323 (a(x,y,z) * (y * z)) \ ((y * z) * R(x,y,z)) = x. [back_rewrite(102259),rewrite([594481(10)])]. 596342 ((x * y) * z) * a(x,x * y,z) = x \ ((x * (x * y)) * z). [back_rewrite(595473),rewrite([595495(10)])]. 596476 x * ((x \ y) * (z * a(a(x,x \ y,z),y,z))) = (a(x,x \ y,z) \ y) * z. [hyper(7088,a,7596,a(flip),b,594859,a),rewrite([398359(10),398679(10),561(8),398359(10),398679(10),386756(11),7733(11),7733(10)]),flip(a)]. 596705 L(x,y,z) * (x \ a(z,y,x)) = a(y * (z \ x),a(z,y,x),x). [hyper(5083,a,388615,a(flip),b,594859,a),rewrite([397310(5),397122(4),458244(4),397310(11),50864(10),451681(8)])]. 596717 ((L(x,y,z) \ x) * u) \ (x * (L(x,y,z) \ u)) = a(L(x,y,z),x * L(x,y,z),u). [hyper(5083,a,162681,a(flip),b,594859,a),rewrite([163152(11)])]. 596718 a(x,x * L(x,y,z),x \ u) = a(x,x * L(x,y,z),u). [hyper(5083,a,159354,a(flip),b,594859,a),rewrite([49599(9),18733(8),460178(7),13936(9),64099(8),12463(8)])]. 596734 ((x \ R(x,y,z)) * u) \ (R(x,y,z) * (x \ u)) = a(x,x * R(x,y,z),u). [hyper(5083,a,62852,a(flip),b,594859,a),rewrite([135845(10)])]. 596762 (((x * y) \ z) * u) * a(y * x,(x * y) \ z,u) = (x * y) \ (z * u). [hyper(5083,a,594859,a,b,277868,a),rewrite([77961(14),46639(12),22473(12),22473(7),66385(6),50(2)])]. 596831 (L(x,y,z) \ x) * (u * a(L(x,y,z),x * L(x,y,z),u)) = x * (L(x,y,z) \ u). [hyper(5081,a,162681,a(flip),b,594859,a),rewrite([163152(10),399872(11)]),flip(a)]. 596844 (x \ R(x,y,z)) * (u * a(x,x * R(x,y,z),u)) = R(x,y,z) * (x \ u). [hyper(5081,a,62852,a(flip),b,594859,a),rewrite([135845(9),399904(10)]),flip(a)]. 596911 (L(x,y,z) \ x) \ (x * (L(x,y,z) \ u)) = u * a(L(x,y,z),x * L(x,y,z),u). [hyper(5083,a,594859,a(flip),b,413274,a),rewrite([163152(6),395874(7),162681(5),163152(10)])]. 596928 R((x / y) / (1 / y),y,L(y,z,u)) = x * a(y,y * L(y,z,u),x). [hyper(5083,a,594859,a(flip),b,399916,a(flip)),rewrite([158527(5),351860(6),64099(9)])]. 596963 (x \ (y * z)) * T((x \ (y * z)) \ u,w) = (x \ y) * (z * T(z \ ((x \ y) \ u),w)). [para(594859(a,1),255(a,1,1)),rewrite([594859(7),385056(19),400742(18),323(17),49(14),255(14)])]. 597024 L(x,y \ (z * a(u,w,v5)),v6) = L(x,(y \ z) * a(u,w,v5),v6). [para(594859(a,1),21231(a,1,2))]. 597033 L(x,y * a(z,z \ u,z \ u),w) = L(x,y * (z \ (u * (z \ u))),w). [para(594859(a,1),25672(a,1,2,2)),flip(a)]. 597184 (x \ (y * z)) \ ((x \ y) * z) = a(x,x \ y,z) \ 1. [para(594859(a,1),123722(a,1,1)),rewrite([393579(9),400178(9)])]. 597360 (x * y) \ ((T(x,y) * z) * u) = (y * x) \ ((x * z) * u). [para(236275(a,1),594859(a,1,1,1)),rewrite([236275(9),596762(10)]),flip(a)]. 597382 (L(x,y,z) \ x) * (u * a(x,x * L(x,y,z),u)) = (x \ 1) \ ((L(x,y,z) \ 1) * u). [para(269343(a,1),594859(a,1,1,1)),rewrite([269343(11),163152(8),46610(8),399872(7)])]. 597383 (x \ 1) \ (R(x,y,z) * u) = R(x,y,z) * ((1 / x) \ u). [para(174008(a,1),594859(a,1,1,1)),rewrite([174008(9),46610(8),596342(7),280983(3),280600(4),62852(5),30965(4)]),flip(a)]. 597398 ((x \ ((1 / x) \ y)) * z) * a(x,x \ (x \ y),z) = (x \ 1) \ ((x \ y) * z). [para(354827(a,1),594859(a,1,1,1)),rewrite([354827(11),357264(12),46610(10)])]. 597399 (x \ 1) \ ((x \ y) * z) = x \ (((1 / x) \ y) * z). [para(354827(a,2),594859(a,1,1,1)),rewrite([354827(4),357264(10),597398(9)])]. 597431 ((x \ a(y,z,u)) * w) * a(a(y,z,u) * x,x * a(y,z,u),w) = ((a(y,z,u) / x) \ 1) \ w. [para(413529(a,1),594859(a,1,1,1)),rewrite([413529(13),398893(10),46610(10),12554(8),440389(8),48(15)])]. 597480 (x * L(x,y,z)) \ (u * x) = ((x * L(x,y,z)) \ u) * x. [para(476702(a,1),594859(a,1,2)),rewrite([49(6)]),flip(a)]. 597563 x \ L(y \ ((1 / y) \ x),y,L(y,z,u)) = a(y,y * L(y,z,u),x). [back_rewrite(460165),rewrite([596718(11)])]. 597601 L(x,(x \ y) * a(z,u,w),a(z,u,w)) \ y = a(z,u,w) \ (x \ (y * a(z,u,w))). [back_rewrite(398890),rewrite([597024(5)])]. 597860 a(x,y,L(z,u,w)) * (z \ L(z,u,w)) = L(z,u,w) * (z \ a(x,y,L(z,u,w))). [hyper(5083,a,594514,a,b,158113,a),rewrite([594514(9),158527(5),458586(5)])]. 597893 x \ (y \ (L(a(z,u,w) \ 1,v5,v6) \ (y * x))) = L(L(a(z,u,w) \ 1,v5,v6),x,y) \ 1. [hyper(5081,a,420475,a(flip),b,594514,a),rewrite([72770(11),158417(9),383773(7),420453(7),72770(20),158417(18),383773(16),5534(16),400701(15)]),flip(a)]. 597912 (x \ ((a(y,z,u) \ x) * w)) * a(y,z,u) = w * a(x,a(y,z,u),w). [hyper(295,a,400701,a,b,594514,a),rewrite([397148(4),50864(11),5535(10),6743(9),50864(10)])]. 598026 x * a(a(y,z,L(x,z,y)),L(x,z,y),z) = L(x,z,y) * a(y,z,L(x,z,y)). [para(380(a,1),594514(a,1,2,2)),rewrite([50(7),162681(6),395178(6)])]. 598133 L(x,y * x,a(y,x,y * x)) \ (y \ K(y \ x,x \ y)) = (1 / (y * x)) * a(y,x,y * x). [para(1816(a,1),594514(a,1,2,2)),rewrite([14988(7),72770(7),28057(6),28083(6),12016(9),91579(9),14988(16),72770(16)])]. 598175 x * a(y * L(y,z,u),y * L(y,z,u),x) = (y \ L(y,z,u)) \ ((L(y,z,u) \ y) \ x). [para(233947(a,1),594514(a,1,2)),rewrite([163152(7),163148(7),395874(8),379966(7),380349(11),308990(11),356699(6),163152(11),163148(11)]),flip(a)]. 598239 a(x * (y * a(z,u,y)),w,a(v5,v6,v7)) = a(L(x,u,z) * y,w,a(v5,v6,v7)). [para(594514(a,1),396351(a,2,1,2)),rewrite([339647(8),394190(10),396351(8),396339(7)]),flip(a)]. 598300 a(x,y,z) * (u * a(z,a(x,y,z),u)) = z \ ((z * a(x,y,z)) * u). [para(594514(a,2),593521(a,1,2,1)),rewrite([594514(6),7734(9)]),flip(a)]. 598731 x * (y * a(x,z \ y,z)) = (x * (y / z)) * z. [hyper(5081,a,112669,a,b,594482,a),rewrite([112669(5),53(5),14827(5)]),flip(a)]. 598732 x * (y * a(x,z,z \ y)) = (x * z) * (z \ y). [hyper(5081,a,112220,a,b,594482,a),rewrite([112220(4),51(5)]),flip(a)]. 598767 x * (K(y,z) * (a(u,w,v5) * (v6 * a(x,a(u,w,v5),v6)))) = (x * a(u,w,v5)) * (K(y,z) * v6). [hyper(5081,a,15112,a(flip),b,594482,a),rewrite([7724(9),12465(13),7734(12),7734(11)]),flip(a)]. 598965 x * (a(x,y,z) * (y * z)) = (x * y) * z. [para(410(a,2),594482(a,1,2)),rewrite([561(4)])]. 599116 L(x,y,((a(z,u,w) * v5) * v6) * v7) = L(x,y,a(z,u,w) * ((v5 * v6) * v7)). [para(594482(a,1),20235(a,1,3,1)),rewrite([7733(10),20189(11),383765(12),397382(11)])]. 599180 a(((x \ L(x,y,z)) * u) * w,v5,v6) = a(((x * L(x,y,z)) * u) * w,v5,v6). [para(594482(a,1),65261(a,1,1)),rewrite([64094(11),594482(13)])]. 599253 a(((L(x,y,z) \ x) * u) * w,v5,v6) = a(((x * L(x,y,z)) * u) * w,v5,v6). [para(594482(a,1),165470(a,1,1)),rewrite([163148(11),594482(13)])]. 599303 L(x,y,((z * T(u,w)) * v5) * v6) = L(x,y,((z * u) * v5) * v6). [para(594482(a,1),218612(a,1,3)),rewrite([12539(10),594482(11)])]. 599539 L(x,y,(z * (u * a(w,v5,v6))) * v7) = L(x,y,a(w,v5,v6) * ((u * z) * v7)). [back_rewrite(386015),rewrite([599116(5)]),flip(a)]. 599560 a(((x * L(x,y,z)) * u) * w,v5,v6) = a(w * (u * (x \ L(x,y,z))),v5,v6). [back_rewrite(442880),rewrite([599253(5)])]. 599684 L(L(L(x,y,z) \ x,u,w) \ 1,u,w) = x \ L(x,y,z). [hyper(7088,a,598965,a,b,102113,a),rewrite([292972(4),72892(6),459180(12),504631(8)]),flip(a)]. 600311 a(x \ y,y \ x,z) * ((y \ x) * z) = (x \ y) \ (z * ((x \ y) * (y \ x))). [hyper(5083,a,345829,a(flip),b,598965,a),flip(a)]. 600333 a(x,x,x \ y) * y = x \ ((x \ 1) \ y). [hyper(5083,a,68073,a(flip),b,598965,a),rewrite([51(8)]),flip(a)]. 601465 L(a(x,y,z) \ 1,u,u * a(x,y,z)) \ 1 = u * ((a(x,y,z) \ u) \ 1). [para(6713(a,1),594542(a,1,2)),rewrite([409(5),393579(4),69930(5),397552(4)]),flip(a)]. 601489 a(a(x,y,z) * L(u,w,v5),v6,a(v7,v8,v9)) = a(u * a(x,y,z),v6,a(v7,v8,v9)). [para(594542(a,1),396183(a,1,1,1)),rewrite([420475(7),395104(7),70574(7),452276(5),396183(12),395380(12),56(9)]),flip(a)]. 602081 ((x \ L(x,y,z)) * u) * (u \ (L(x,y,z) \ x)) = a(x * L(x,y,z),u,u \ (x \ L(x,y,z))). [hyper(295,a,306137,a(flip),b,598732,a),rewrite([454268(6),64094(6),266193(11)]),flip(a)]. 602100 (x * y) * (y \ (x \ 1)) = a(x,y,y \ x). [hyper(295,a,61613,a(flip),b,598732,a),rewrite([403612(4),266193(3)]),flip(a)]. 602104 ((1 / x) * y) * (y \ x) = a(x,y,y \ x). [hyper(295,a,22934,a(flip),b,598732,a),rewrite([12554(4),46610(4),266193(3)]),flip(a)]. 602143 (x \ (y \ 1)) \ a(y,x,x \ y) = T(y * x,x \ (y \ 1)). [hyper(7088,a,61613,a(flip),b,598732,a(flip)),rewrite([403612(12),266193(11)]),flip(a)]. 602707 (x * (y \ (z * z))) * ((y \ (z * z)) \ u) = (x * y) * (y \ u). [para(66364(a,2),598732(a,1,2,2,3)),rewrite([66364(7),72791(6),66369(4),598732(4)]),flip(a)]. 602996 x * a(x,y * R(y,z,u),y \ R(y,z,u)) = R(x,y \ R(y,z,u),y \ R(y,z,u)). [para(358097(a,1),598732(a,1,2,2,3)),rewrite([273274(6),48(7),358097(13),358364(12)])]. 603134 a(x \ y,y \ x,(x \ y) * (y \ x)) = 1. [back_rewrite(346014),rewrite([602100(9),346469(6)])]. 603814 a(x,y,L(y \ z,y,x)) = (y * L(y \ z,y,x)) \ z. [hyper(5083,a,411167,a,b,595082,a),rewrite([411167(9),415863(10),251008(9),164076(9)]),flip(a)]. 603817 a(x,y,L(y,y,x)) = L(y,y,x) \ y. [hyper(5083,a,354974,a,b,595082,a),rewrite([354974(9),597480(4),170916(3),118328(4),159097(4)]),flip(a)]. 604000 (L(x,y,z) * y) * a(z,y,L(x,y,z)) = x * y. [hyper(5083,a,595082,a,b,8513,a(flip)),rewrite([26536(5),132189(5),26536(9),14986(9),13927(8),7724(8),50(9)])]. 604309 a(x,a(y,z,L(u,z,y)),w) = a(x,z \ (L(u,z,y) * (u \ z)),w). [para(595082(a,1),438364(a,1,2,1)),rewrite([304426(4),397070(13),50864(10)]),flip(a)]. 604329 (x \ (L(y,x,z) * (y \ x))) * a(z,x,L(y,x,z)) = 1. [para(595082(a,1),493504(a,1,1,1)),rewrite([304426(4),6706(16),397070(17),51(14)])]. 604340 L(L(x,y,z),y,a(z,y,L(x,y,z))) = (a(z,y,L(x,y,z)) * y) \ (y * x). [para(595082(a,1),565641(a,2,2)),rewrite([70(6),49(3)])]. 604475 a(x,y,z) \ (a(x,y,z) \ (u \ a(x,y,z))) = u \ (a(x,y,z) \ 1). [hyper(5083,a,395220,a,b,602100,a),rewrite([397552(6),345579(9),429131(8)])]. 604529 (a(x,y,z) \ u) * (u \ a(x,y,z)) = a(a(x,y,z),u,a(x,y,z) * u). [hyper(5081,a,395220,a,b,602100,a),rewrite([397552(4),345579(7),602100(12),454312(9)])]. 604555 a(x,y,y \ x) / (x * y) = T(y \ (x \ 1),x * y). [hyper(7088,a,602100,a(flip),b,410,a),rewrite([196(9),320136(13),420286(13)]),flip(a)]. 604612 T(x \ (y \ 1),y * x) \ T(y * x,x \ (y \ 1)) = (x \ (y \ 1)) \ (y * x). [para(602100(a,1),248(a,1,1,1)),rewrite([604555(4)])]. 604640 (x * a(y,z,u)) * (x \ (a(y,z,u) \ 1)) = a(a(y,z,u),x,a(y,z,u) * x). [para(1143(a,1),602100(a,1,1)),rewrite([454312(11)])]. 604693 a(L(x \ (y \ 1),y * x,y * x),z,u) = a(a(y,x,x \ y) * (y * x),z,u). [para(602100(a,1),46456(a,1,1,1)),flip(a)]. 604710 a(x,y,y \ x) \ (((x * y) \ 1) \ 1) = ((y \ x) * ((1 / x) * y)) \ (x * y). [para(602100(a,1),57973(a,1,1)),rewrite([394737(8),493958(8),269844(13)])]. 604772 a(x,y,y \ x) \ R(x * y,y \ x,y \ x) = (y \ (x \ 1)) \ 1. [para(602100(a,1),123722(a,1,1)),rewrite([403795(10),501816(8)])]. 604890 a(x,y,y \ x) * ((y \ (x \ 1)) \ 1) = R(x * y,y \ x,y \ x). [para(602100(a,1),89886(a,1,1)),rewrite([403795(16),501816(14)])]. 604926 ((x \ y) * (y \ x)) * ((x \ y) \ (1 / (y \ x))) = 1. [para(345757(a,1),602100(a,1,1)),rewrite([115269(9),441059(18),14988(17),346469(17),12463(17),603134(15)])]. 604978 ((a(x,y,y \ x) \ (x * y)) \ 1) \ 1 = (x * y) \ ((x * y) / (y \ (x \ 1))). [para(602100(a,1),439486(a,1,1,1,1))]. 605033 x \ L(a(y,z,u),x,a(y,z,u) * x) = x \ (x / ((a(y,z,u) / x) \ 1)). [back_rewrite(496032),rewrite([604529(9),426083(9),452196(7)])]. 605035 (a(x,y,z) / u) * (a(x,y,z) \ u) = a(a(x,y,z),u,a(x,y,z) * u). [back_rewrite(413803),rewrite([604529(10)])]. 605391 (x \ y) \ ((x \ 1) * y) = a(x,x,y) \ 1. [para(48(a,1),597184(a,1,1,2)),rewrite([50864(8)])]. 605551 L(x,a(y,y \ z,y \ z),u) = L(x,y \ (z * (y \ z)),u). [para(597184(a,1),28106(a,1,2)),rewrite([28083(6)])]. 605573 a(x,x \ y,x \ y) \ 1 = (x \ (y * ((x \ y) \ 1))) \ 1. [para(102153(a,2),597184(a,2,1)),rewrite([597184(7),95196(8)])]. 605722 ((x / y) * L(y,z,u)) \ (x * (y \ L(y,z,u))) = a(x,y * L(y,z,u),y). [para(309046(a,2),597184(a,1,2)),rewrite([158527(5),231272(3),7724(5),11961(11),5784(10),13929(12),64099(10),508183(12)])]. 605747 a(x * y,x * L(x,z,u),x) = a(y,x * L(x,z,u),x). [para(349543(a,1),597184(a,1,2)),rewrite([158808(3),50(4),508303(7),64099(7),508183(9)]),flip(a)]. 605763 a(x,x * L(x,y,z),z * y) = a(x,a(z,y,x),y * (z \ x)). [para(388615(a,1),597184(a,1,1)),rewrite([397310(6),397122(5),459716(4),397310(11),50864(10),451681(8),386929(10),48(10)])]. 605795 (L(x,y,z) \ (u * x)) \ (u * (L(T(x,u),y,z) \ x)) = a(L(x,y,z),x * L(x,y,z),u) \ 1. [para(461212(a,1),597184(a,1,2)),rewrite([162919(4),162930(4),14797(14),163152(13),12547(13)])]. 605884 a(x,a(y,z,x),z * (y \ x)) * a(y,z,x) = L(x,z,y) \ x. [back_rewrite(459822),rewrite([605763(4)])]. 605885 L(x,y,z) \ (a(z,y,x) \ x) = a(x,a(z,y,x),y * (z \ x)). [back_rewrite(459716),rewrite([605763(8)])]. 606093 ((x \ 1) * y) \ ((x \ z) * u) = (x * y) \ (((1 / x) \ z) * u). [para(597399(a,1),11892(a,1,1,2)),rewrite([26414(9),11892(7)]),flip(a)]. 606377 (x \ 1) \ ((L(x,y,z) \ 1) * u) = x \ ((L(1 / x,y,z) \ 1) * u). [para(165661(a,1),597399(a,1,2,1)),rewrite([277235(12),353726(12)])]. 606520 x \ (y * (x \ L(x,z,u))) = (x \ y) * (x \ L(x,z,u)). [para(102113(a,1),597399(a,2,2)),rewrite([597399(8),304580(6),324(3),48(3),350524(4),304580(10),324(7),48(7)]),flip(a)]. 606567 (x \ 1) \ ((x \ y) / (z \ 1)) = x \ (((1 / x) \ y) / (z \ 1)). [para(401861(a,1),597399(a,2,2)),rewrite([42394(7),83147(7),401861(6)])]. 606788 (L(x,y,z) \ x) * (u * a(x,x * L(x,y,z),u)) = x \ ((L(1 / x,y,z) \ 1) * u). [back_rewrite(597382),rewrite([606377(14)])]. 606899 T(a(x,y,z) * ((a(x,y,z) \ u) * w),u * w) = a(a(x,y,z),u,w) * (u * w). [hyper(5081,a,7727,a,b,595594,a),rewrite([7727(4),397528(9)]),flip(a)]. 607299 a(x * L(x,y,z),x * L(x,y,z),u) * ((L(x,y,z) \ x) * u) = T((x \ L(x,y,z)) \ u,u). [para(233947(a,1),595594(a,1,1)),rewrite([379966(5),380349(9),308990(9),415956(7),323(4),48(5),163152(9),163148(9)]),flip(a)]. 607649 a(((x * L(y,x,z)) \ (x * y)) \ u,w,v5) = a(a(z,x,L(y,x,z)) * u,w,v5). [para(593601(a,2),13835(a,2,1,1)),rewrite([313684(4),398307(10)])]. 607687 L(x,a(y,z,L(u,z,y)),w) = L(x,(z * L(u,z,y)) \ (z * u),w). [para(593601(a,2),26514(a,2,2)),rewrite([26514(6)]),flip(a)]. 607718 a(x,y,L(y \ z,y,x)) = (y * ((x * y) \ (x * z))) \ z. [para(382(a,1),593601(a,2,1,2)),rewrite([51(9)])]. 607794 a(x,x,L(y,y,L(x,z,u))) = a(x,x,x * (L(x,z,u) * y)). [para(159652(a,1),593601(a,1,3)),rewrite([158303(6),401180(3),162252(4),159652(8),158084(10),158113(11),470950(10)]),flip(a)]. 607875 a(x,y,L(y \ (z \ y),y,x)) = (z \ y) \ ((z \ L(z,y,x)) \ (z \ y)). [para(307607(a,2),593601(a,2,1)),rewrite([51(11),491636(10)])]. 607883 ((x * L(y,x,z)) \ (x * y)) \ 1 = x \ (L(y,x,z) * (y \ x)). [para(593601(a,2),346450(a,1,1,2)),rewrite([304426(4),604329(7),304426(5),324(6),313820(10)]),flip(a)]. 607931 a(x,a(y,z,L(u,z,y)),w) = L(w,(z * L(u,z,y)) \ (z * u),x) \ w. [para(593601(a,1),396724(a,1,1,2)),flip(a)]. 608045 a(x,y,a(z,u,L(w,u,z))) = (v5 * (v6 \ a((u * L(w,u,z)) \ (u * w),y,x))) \ (v5 * (v6 \ 1)). [para(593601(a,1),453475(a,1,1,2,2,1)),flip(a)]. 608255 (x * L(x \ y,x,z)) \ y = (x * ((z * x) \ (z * y))) \ y. [hyper(295,a,593079,a,b,607718,a),rewrite([380(4),51(2),50(2),156355(4)])]. 608540 (x * (y \ (L(x,z,u) * (x \ y)))) \ L(x,z,u) = a(y,x,L(x \ L(x,z,u),x,y)). [para(63806(a,2),607718(a,1,3,1)),rewrite([63806(4),304426(8)]),flip(a)]. 608728 a(x,y,L(z \ L(z,z,u),w,v5)) = a(x,y,L(z * ((u * z) \ u),w,v5)). [para(607718(a,2),158417(a,1,3,1)),rewrite([158417(4),603817(2),305833(4),49(7)])]. 608745 (x * ((y * x) \ y)) \ L(z,x * (y \ (y / x)),x * (y \ (x \ y))) = (L(x,x,y) \ x) * z. [para(607718(a,2),28098(a,2,1)),rewrite([49(3),49(6),49(9),438478(10),493226(10),158417(15),603817(13)])]. 608776 R(x,y,z * L(z,z,u)) = R(x,y,z * ((u * z) \ u)). [para(607718(a,2),206104(a,1,3)),rewrite([158417(4),603817(2),217133(3),49(6)])]. 608822 (x * (y \ ((y / x) * R(x,z,u)))) \ R(x,z,u) = a(y,x,L(x \ R(x,z,u),x,y)). [para(256863(a,2),607718(a,1,3,1)),rewrite([256863(2),491520(8)]),flip(a)]. 608894 a(x,y,L(y \ L(y,z,u),y,x)) = a(x,y,L(y * L(y,z,u),y,x)). [para(81670(a,1),607718(a,1,3,1)),rewrite([28083(7),50864(6),222572(13),304426(8),608540(11)]),flip(a)]. 608895 a(x,y,L(y \ R(y,z,u),y,x)) = a(x,y,L(y * R(y,z,u),y,x)). [para(174008(a,1),607718(a,1,3,1)),rewrite([28083(7),50864(6),222572(13),491520(8),608822(11)]),flip(a)]. 609193 (x * (y \ (L(x,z,u) * (x \ y)))) \ L(x,z,u) = a(y,x,L(x * L(x,z,u),x,y)). [back_rewrite(608540),rewrite([608894(11)])]. 609975 L(x,(y * (z \ y)) * z,u) = L(x,a(y,z \ y,z),u). [para(598731(a,1),25754(a,1,2)),rewrite([249906(4),266193(7)])]. 610248 R(x,y \ R(y,z,u),y \ R(y,z,u)) = L(x,y * R(y,z,u),y * R(y,z,u)). [para(358097(a,1),598731(a,1,2,2,2)),rewrite([358270(6),135845(6),48(7),602996(6),287688(9),358097(9),358487(11)])]. 610269 a(x,y * (z * a(u,w,v5)),a(u,w,v5)) = a(a(u,w,v5),y * z,x). [para(598731(a,2),398679(a,1,2)),rewrite([398359(5),398680(5),22395(6),6706(5),419486(8)]),flip(a)]. 610522 (x * (R(y,z,u) \ y)) * (y \ R(y,z,u)) = L(x,y * R(y,z,u),y * R(y,z,u)). [back_rewrite(358364),rewrite([610248(11)])]. 610937 K(x,y) * (z * (a(u,w,v5) * a(y,a(u,w,v5),z))) = T(y,x) \ ((y * a(u,w,v5)) * z). [hyper(5083,a,595014,a(flip),b,8936,a),rewrite([70948(7),5754(4),7734(7),7734(6)])]. 610981 T(a(x,a(y,z,u),w) * (w * a(y,z,u)),x) = x \ (w * (x * a(y,z,u))). [para(410(a,1),595014(a,1,2)),rewrite([385118(7),385118(10),13983(9),400280(10)]),flip(a)]. 611185 a(x,y \ (z \ ((z * a(u,w,v5)) * v6)),v7) = a(x,y \ (v6 * a(u,w,v5)),v7). [para(595014(a,1),97384(a,2,2,2)),rewrite([97384(7),70948(12),389464(13)])]. 611445 L(x,x,a(y,z,u)) \ (((1 / x) \ a(y,z,u)) * w) = w * (a(y,z,u) * a(x,a(y,z,u),w)). [para(399659(a,1),595014(a,1,2,1)),rewrite([396598(13)])]. 611514 L(T(x,y),z,u) \ ((L(x,z,u) * a(w,v5,v6)) * v7) = T(x,y) \ ((x * a(w,v5,v6)) * v7). [para(595014(a,1),11208(a,1,2)),rewrite([396598(5),610937(7)]),flip(a)]. 611517 x * (a(y,z,u) * a(u,a(y,z,u),x)) = u \ ((u * a(y,z,u)) * x). [para(594514(a,2),595014(a,1,2,1)),rewrite([594514(6)]),flip(a)]. 611595 (a(x,y,z) / u) \ a(a(x,y,z),u,a(x,y,z) * u) = a(x,y,z) \ u. [hyper(5142,a,398680,a,b,602104,a),rewrite([398680(6),454312(4),426134(7),6706(10),397122(11)])]. 611870 L(x,y,(z * (u \ z)) * u) = L(x,y,a(z,u \ z,u)). [para(602104(a,1),83736(a,1,3)),rewrite([14982(4),83490(9)]),flip(a)]. 612154 (a(x,y,z) \ u) / ((a(x,y,z) / u) \ 1) = a(a(x,y,z),u,a(x,y,z) * u). [hyper(295,a,57662,a,b,604529,a),rewrite([83407(11),441836(11),441466(11)])]. 612199 L(x,y,z \ a(u,w,v5)) = L(x,y,a(u,w,v5) * z). [para(604529(a,1),85526(a,1,3,1)),rewrite([397144(7),85389(8),384778(6),83407(10),394477(10),450150(10),26402(6)]),flip(a)]. 612206 (a(x,y,z) / u) * a(a(x,y,z),u,a(x,y,z) * u) = L(u \ a(x,y,z),a(x,y,z) * u,u). [para(604529(a,1),3491(a,1,2)),rewrite([385657(5),413546(3),346611(15),441836(12)])]. 612277 (a(x,y,z) \ u) * (((a(x,y,z) / u) \ 1) \ w) = a(a(x,y,z),u,a(x,y,z) * u) * w. [para(604529(a,1),594482(a,2,1)),rewrite([398893(10),398307(10),597431(11)])]. 612575 (x \ y) \ (((x \ 1) * y) * L(a(x,x,y),z,u)) = a(a(x,x,y),z,u). [para(605391(a,1),272488(a,1,1)),rewrite([605391(8),398795(7),304101(8),324(5),48(5),382653(4),356769(11),592635(11),382507(8)]),flip(a)]. 614874 (x \ ((y \ K(z,u)) \ w)) * (K(z,u) * v5) = (x \ T((y \ 1) \ w,K(z,u))) * v5. [para(54817(a,1),7452(a,1,2,1)),rewrite([74(6),374845(5),5754(2),406722(5),372940(5),374422(5),86222(5),75(4),44473(4),54807(12),31968(9),1039(5),48739(7),41109(8),327407(8),360631(9),54935(10),7725(14)]),flip(a)]. 614892 a(x,y,z \ ((u \ K(w,v5)) \ v6)) = a(x,y,z \ ((u \ 1) \ v6)). [para(54817(a,1),13929(a,1,3)),rewrite([13992(7)]),flip(a)]. 615007 a(x * (y \ ((z \ 1) \ u)),w,v5) = a((y \ (z \ u)) * x,w,v5). [para(54817(a,1),24885(a,1,1,2)),rewrite([271712(6),5538(4),13791(8),614874(13),96886(14),269910(12)])]. 616480 L(((x * y) \ z) \ u,(x * y) \ z,y * x) = z \ ((x * y) * u). [para(51(a,1),319170(a,1,1,1,2)),rewrite([51(6),51(9)])]. 617181 L(((x * y) \ (z * z)) \ u,x * y,y * x) = (((z * z) \ x) * y) * u. [hyper(5081,a,66988,a,b,616480,a),rewrite([66988(6),22473(4),22473(3),28106(13)]),flip(a)]. 617196 L(x * a(y,z,u),a(y,z,u),a(y,z,u) * w) = x * (a(y,z,u) * a(w,a(y,z,u),x)). [hyper(5081,a,595014,a(flip),b,616480,a),rewrite([397257(8),397087(9),397257(10),28083(13)]),flip(a)]. 617500 L(x \ y,x,L(x,z,u) * (x \ w)) = (w * L(x,z,u)) \ (((w / x) * L(x,z,u)) * y). [para(407301(a,1),616480(a,1,1,1)),rewrite([407301(7),83661(5)])]. 621380 x * (L(y,z,u) * x) = L(x * (y * x),z,u). [para(2195(a,1),26163(a,2,2)),rewrite([25954(4),135249(5),410(2)]),flip(a)]. 621473 L(L((x \ 1) \ 1,y,z) \ u,x,x) = L(x,y,z) \ L(u,x,x). [para(162882(a,1),26163(a,2,2)),rewrite([62160(5),68101(8),277538(8),26414(11),28083(9),66975(13),277530(13)])]. 621503 L(a(x,y,z) \ (u * u),u,u) = u * (a(x,y,z) \ u). [para(397148(a,1),26163(a,1,1)),rewrite([397148(8)])]. 622053 1 / L(L(x \ 1,y,z),u,w) = L(L(1 / x,y,z),u,w) \ 1. [para(173671(a,2),71644(a,1,1,1,1)),rewrite([173671(5),432002(7),69340(6)]),flip(a)]. 622089 L(1 / L(x,y,z),u,L(x,y,z)) = 1 / L(R(x,u,x),y,z). [para(71644(a,1),509747(a,2,1,2)),rewrite([217672(12),217672(10),63(8),256488(10),376462(5),324(6),324(9),83591(13),83591(11)]),flip(a)]. 622682 L(x * L(x,y,z),u,w) * ((x * L(x,y,z)) \ v5) = a(x * L(x,y,z),u,w) * v5. [para(63806(a,2),457774(a,2,1,1)),rewrite([81670(4),81670(7),63806(11),460044(14)])]. 622951 (1 / (x \ y)) * (((y \ x) \ 1) \ 1) = (y \ x) / (x \ y). [para(170557(a,1),13654(a,1,1)),rewrite([441066(9),170557(11)]),flip(a)]. 622992 x / ((((y \ z) \ 1) \ 1) \ (1 / (z \ y))) = ((((y \ z) \ 1) \ 1) \ (1 / (z \ y))) \ x. [para(170557(a,1),91470(a,1,2,1)),rewrite([170557(15)])]. 623017 (((x \ y) \ 1) \ 1) \ (1 / (y \ x)) = (x \ y) \ ((y \ x) \ 1). [para(170557(a,1),159097(a,1,2,1)),rewrite([69340(10),357997(7),170557(10)]),flip(a)]. 623259 x / ((y \ z) \ ((z \ y) \ 1)) = ((y \ z) \ ((z \ y) \ 1)) \ x. [back_rewrite(622992),rewrite([623017(9),623017(15)])]. 623364 L(x \ 1,x,x * y) = L(1 / x,x,y). [para(50(a,1),438015(a,1,3)),flip(a)]. 623455 a(x,y,L(z,z,u * z)) = a(x,y,L(z,z,u)). [para(438015(a,1),158417(a,2,3)),rewrite([340(4),485217(2),158417(7)])]. 625044 x * (x * ((y * x) \ (y * z))) = L(x * z,x,y). [para(382(a,1),61616(a,1,1)),rewrite([222755(6),28083(9)])]. 625078 L(L(x * L(x,y,z),u,w),x,x) = L(x * L(x,y,z),u,w). [para(13654(a,2),61616(a,2,1)),rewrite([81670(4),13654(6)])]. 625334 L(a(x,y,z),u,w) * (v5 * a(a(x,y,z),v6,v7)) = L(L(a(x,y,z),u,w),v6,v7) * v5. [para(266019(a,2),158354(a,1,2,2)),rewrite([118297(5),266019(11),503557(9)])]. 625352 L(L(R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)),v5,v6),x,y * z) = a(a(x,y,z),u,w). [para(266019(a,1),305594(a,1,2)),rewrite([265971(5),305327(6),382653(4),5530(3),305327(10),304101(8),62852(8)]),flip(a)]. 625359 L(a(x,y,z),u,w) * (L(L(a(x,y,z),u,w),v5,v6) \ v7) = v7 * a(v6,v5,a(x,y,z)). [para(266019(a,2),353771(a,2,2,1)),rewrite([250915(4),531(3),568477(7),266019(11)]),flip(a)]. 625372 L(a(x,y,z),u,w) * (v5 * a(v6,v7,a(x,y,z))) = L(L(a(x,y,z),u,w) \ 1,v7,v6) \ v5. [para(266019(a,2),504398(a,1,1,2,1)),rewrite([266019(8),625359(7),394567(6),506069(6),568477(15)]),flip(a)]. 625415 (L(x,y,z) \ x) * (a(x * L(x,y,z),u,w) * v5) = L(L(x,y,z) \ x,u,w) * v5. [para(384079(a,2),158354(a,1,2,2)),rewrite([91470(5),384079(11),460170(9)])]. 625432 ((x \ L(x,y,z)) \ u) * L(x \ L(x,y,z),w,v5) = a(x * L(x,y,z),w,v5) * u. [para(384079(a,2),159326(a,2,1)),rewrite([304759(4),293004(3),304759(7),384079(13),460169(14)])]. 625437 a(x * L(x,y,z),u,w) * ((L(x,y,z) \ x) * v5) = L(L(x,y,z) \ x,u,w) * v5. [para(384079(a,2),350548(a,1,1,2)),rewrite([384079(8),304101(6),162681(6),459665(5),51(5),91472(6),91472(14),304101(15),162681(15),459665(14),51(14),625415(14)])]. 625451 T((x \ L(x,y,z)) \ u,u) = (x \ L(x,y,z)) \ u. [back_rewrite(607299),rewrite([625437(9),384063(6)]),flip(a)]. 625502 L(x,y,z) / L(L(T(x,u),y,z),w,v5) = L(L(T(x,u),y,z),w,v5) \ L(x,y,z). [para(306572(a,1),2244(a,1,2,2)),rewrite([408211(10),305135(8),163220(8),408211(8),801(6),562(6),60(6),60(5),11427(4),168(3),196(3)])]. 625505 (L(L(T(x,y),z,u),w,v5) \ L(x,z,u)) \ 1 = L(x \ L(T(x,y),w,v5),z,u). [para(306572(a,1),3361(a,2,1)),rewrite([625502(5),378715(14),378054(13),378054(12),801(10),74(10),6159(9),6159(8),1039(7),2919(7),319(7),195093(14),305135(11),163220(11),306121(12)])]. 625568 1 / L(x \ L(T(x,y),z,u),w,v5) = L(x \ L(T(x,y),z,u),w,v5) \ 1. [para(306572(a,1),115269(a,1,1,2)),rewrite([305578(5),408211(10),305135(8),163220(8),408211(8),801(6),562(6),60(6),238355(5),305578(12)]),flip(a)]. 625605 (x / (L(y \ L(y,z,u),w,v5) \ K(v6,y))) * (L(L(T(y,v6),w,v5),z,u) \ L(y,w,v5)) = x. [para(306572(a,1),331209(a,1,1,2)),rewrite([625502(11),378715(21),378054(20),378054(19),801(17),74(17),6159(16),6159(15),1039(14),2919(14),319(14),49(14)])]. 625609 (L(x \ L(x,y,z),u,w) \ K(v5,x)) * L(x \ L(T(x,v5),y,z),u,w) = 1. [para(306572(a,1),345579(a,2,1)),rewrite([625505(7),305578(9),323(9),305578(11)]),flip(a)]. 625612 L(L(T(x,y),z,u),w,v5) \ L(x,z,u) = L(x \ L(T(x,y),w,v5),z,u) \ 1. [para(306572(a,1),346450(a,1,1,1)),rewrite([305578(10),625609(10),324(7),305578(11),625568(11)])]. 625616 (x \ L(x,y,z)) * (L(x \ L(T(x,u),y,z),w,v5) \ 1) = a(v5,w,x * L(x,y,z)) * K(u,x). [para(306572(a,2),305135(a,2,2)),rewrite([304101(6),459548(5),58(5),547(4),496669(5),625612(12)]),flip(a)]. 625640 a(x,y,z * L(z,u,w)) \ (z \ L(z,u,w)) = L(z \ L(z,u,w),y,x). [para(306572(a,2),380254(a,1,1,2)),rewrite([625612(7),625616(9),104859(9),188302(8),188303(9),12023(9),54716(9),547(5),562(10),292972(10)])]. 625651 L(x,L(y \ L(T(y,z),u,w),v5,v6),v7) = L(x,L(y * L(y,u,w),v5,v6),v7). [para(306572(a,1),455829(a,2,2)),rewrite([455829(8),625612(5),28083(7),28115(11),422229(9)])]. 625699 (x / (L(y \ L(y,z,u),w,v5) \ K(v6,y))) * (L(y \ L(T(y,v6),z,u),w,v5) \ 1) = x. [back_rewrite(625605),rewrite([625612(11)])]. 626022 L(x,y,z * (L(a(u,w,v5),v6,v7) \ v8)) = L(x,y,a(u,w,v5) * (z * v8)). [para(431920(a,2),85295(a,1,3,2,1)),rewrite([431920(6),397308(5),567632(5)]),flip(a)]. 626124 (a(x,y,z) * L(L(a(x,y,z),u,w),v5,v6)) * v7 = L(L(a(x,y,z),u,w),v5,v6) * (v7 * a(x,y,z)). [para(452669(a,1),68800(a,1,2,1)),rewrite([7732(13),418623(14),452144(9),456248(9),16927(11),397308(8),7735(9),625372(9),384980(8),397087(7),452681(13)]),flip(a)]. 626126 L(x,y,z * L(L(a(u,w,v5),v6,v7),v8,v9)) = L(x,y,z * a(u,w,v5)). [para(452669(a,1),356911(a,2,3,2,2)),rewrite([452144(8),452681(10),58(9),6174(5),6174(4),409(3),16922(12),13034(12),13064(14),73601(11)]),flip(a)]. 626127 a(x,y,z) \ (L(L(a(x,y,z) \ 1,u,w),v5,v6) \ 1) = a(w,u,a(x,y,z)) * a(v6,v5,a(x,y,z)). [para(452669(a,1),437052(a,1,1,1)),rewrite([388186(7),386756(4),48(4),389268(7),388135(4),49(4),454908(12),387808(13),6706(10),388135(10),389275(10),12999(15),420453(13)]),flip(a)]. 626141 a(x,y,a(z,u,x)) = 1. [hyper(7049,a,11971,a(flip),b,305848,a),rewrite([398254(4),397310(9),354781(8),269343(8),388661(4)])]. 626144 a(a(x,y,z),u,z) = 1. [hyper(7049,a,305848,a,b,11971,a(flip)),rewrite([397310(5),398254(7),304101(8),324(5),48(5),382653(4)])]. 626149 L(a(x,y,z) \ 1,u,z) = a(x,y,z) \ 1. [hyper(5081,a,11971,a(flip),b,305848,a),rewrite([397310(5),398254(7)]),flip(a)]. 626170 L(x \ L(x,y,z),u,w) * (x * v5) = x * (v5 * L(x \ L(x,y,z),u,w)). [para(305848(a,1),11786(a,2,1)),rewrite([60(5),292972(4)]),flip(a)]. 626171 (x * y) * L(x \ L(x,z,u),w,v5) = x * (y * L(x \ L(x,z,u),w,v5)). [para(305848(a,1),380(a,1,2))]. 626172 (x * y) * L(L(x \ L(x,z,u),w,v5),v6,v7) = x * (y * L(L(x \ L(x,z,u),w,v5),v6,v7)). [para(305848(a,1),24271(a,1,2,1))]. 626188 a(x,L(y \ L(y,z,u),w,v5),v6) = a(x,L(y * L(y,z,u),w,v5),v6). [para(305848(a,1),75366(a,2,2)),rewrite([188110(4),25976(5),51(3)]),flip(a)]. 626196 a(x * (L(y \ L(y,z,u),w,v5) * v6),v7,v8) = a(x * (L(y * L(y,z,u),w,v5) * v6),v7,v8). [para(305848(a,1),130748(a,2,1,2,1)),rewrite([188110(4),25976(5),51(3)]),flip(a)]. 626198 a(x,y,L(z \ L(z,u,w),v5,v6)) = a(x,y,L(z * L(z,u,w),v5,v6)). [para(305848(a,1),75452(a,2,3)),rewrite([188110(4),25976(5),51(3)]),flip(a)]. 626203 (x \ L(x,y,z)) * (a(x * L(x,y,z),u,w) * v5) = L(x \ L(x,y,z),u,w) * v5. [para(305848(a,2),158354(a,1,2,2)),rewrite([293004(5),305848(9),625432(9)])]. 626204 (x \ L(x,y,z)) \ (u * L(x \ L(x,y,z),w,v5)) = a(x * L(x,y,z),w,v5) * u. [para(305848(a,2),160170(a,1,2)),rewrite([292972(3),293004(3),305848(7),625432(7)]),flip(a)]. 626208 R(x,y,L(z \ L(z,u,w),v5,v6)) = L(x,y,L(z * L(z,u,w),v5,v6)). [para(305848(a,1),217262(a,2,3)),rewrite([25976(5),51(3),428115(4)]),flip(a)]. 626219 x * L(x \ ((L(y \ L(y,z,u),w,v5) \ 1) \ x),v6,y) = (L(y \ L(y,z,u),w,v5) \ 1) \ x. [para(305848(a,1),344040(a,1,1,2)),rewrite([68073(12)]),flip(a)]. 626243 (a(x,x \ y,z) \ y) * z = x * ((x \ y) * z). [back_rewrite(596476),rewrite([626144(4),49(3)]),flip(a)]. 626266 a(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) = a(x,L(y * L(y,w,v5),z,u),v6). [back_rewrite(305648),rewrite([626188(9)])]. 626272 a(x,y,L(z * L(z,z,u),w,v5)) = a(x,y,L(z * ((u * z) \ u),w,v5)). [back_rewrite(608728),rewrite([626198(4)])]. 626292 a(x,y,L(L(z,u,w) \ z,v5,v6)) = a(x,y,L(z * L(z,u,w),v5,v6)). [back_rewrite(305833),rewrite([626198(8)])]. 626300 a(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)) = a(x,y,L(z * L(z,v5,v6),u,w)). [back_rewrite(305647),rewrite([626198(9)])]. 626310 R(x,y,L(z \ L(T(z,u),w,v5),v6,v7)) = L(x,y,L(z * L(z,w,v5),v6,v7)). [back_rewrite(305674),rewrite([626208(9)])]. 626372 L(a(x,y,z),u,z) = a(x,y,z). [hyper(284,a,626141,a)]. 626373 (x * y) * a(z,u,x) = x * (y * a(z,u,x)). [para(626141(a,1),7687(a,1,1)),rewrite([48(5)]),flip(a)]. 626374 (x * a(y,z,u)) * u = a(y,z,u) * (x * u). [para(626141(a,1),101962(a,1,1)),rewrite([48(5),393579(7),24258(8),561(6)])]. 626380 x \ (y * a(z,u,x)) = (x \ y) * a(z,u,x). [para(626141(a,1),594859(a,1,2)),rewrite([49(5)]),flip(a)]. 626396 L(x,y,z) * (y * a(z,y,L(x,y,z))) = x * y. [back_rewrite(604000),rewrite([626373(5)])]. 626472 x * (y * (z * a(x,z,y))) = (x * z) * T(y,z). [back_rewrite(591495),rewrite([626373(3)])]. 626475 x \ ((x * y) * T(z,y)) = z * (y * a(x,y,z)). [back_rewrite(591398),rewrite([626373(7)])]. 626536 (x \ 1) * a(y,z,x) = x \ a(y,z,x). [hyper(7088,a,62166,a(flip),b,626373,a),rewrite([72770(5),72770(7),561(6),72770(7),72770(8),72770(9),626380(9),397443(9),50(10)])]. 626561 L(x,y,a(z,u,x)) = x. [hyper(7088,a,626373,a,b,32795,a),rewrite([385118(5),412(3),50(2),410(4),21250(6)]),flip(a)]. 626603 (x * a(y,z,u)) / u = a(y,z,u) * (x / u). [hyper(5142,a,626373,a,b,385515,a),rewrite([51(2)])]. 626624 L(x \ 1,y,a(z,u,x)) = x \ 1. [hyper(5142,a,626373,a,b,31945,a),rewrite([72881(6),72881(9),231319(10),57(8),393579(4),26653(6),31701(4)])]. 626663 (1 / x) \ a(y,z,x) = x * a(y,z,x). [hyper(5083,a,626373,a,b,66975,a),rewrite([1816(5),394659(7),67715(6),420371(4)])]. 626673 (1 / x) * a(y,z,x) = a(y,z,x) / x. [hyper(5083,a,626373,a,b,90188,a(flip)),rewrite([8700(6),197(5),1816(3),14988(6),72770(6),394659(5),50(4),14988(7),72770(7)]),flip(a)]. 626680 ((x \ 1) * y) * a(z,u,x) = (x \ 1) * (y * a(z,u,x)). [hyper(5081,a,206986,a,b,626373,a),rewrite([72770(3),72770(6),206986(6),72770(11)]),flip(a)]. 626704 a(x,y,z) * (z * u) = z * (u * a(x,y,z)). [hyper(5081,a,15015,a,b,626373,a),rewrite([626372(2),626373(6)])]. 626713 (x \ L(x,y,z)) * (u * a(w,v5,x * L(x,y,z))) = u * (L(L(x,y,z) \ x,v5,w) \ 1). [hyper(5081,a,102113,a(flip),b,626373,a),rewrite([72892(3),443869(7),504631(6),72892(12),399916(13)]),flip(a)]. 626730 a(x,y,z) \ (z * u) = z * (a(x,y,z) \ u). [hyper(7088,a,626373,a(flip),b,112669,a),rewrite([6743(6),561(5),6743(6),6706(6),400742(8),323(7),49(6)]),flip(a)]. 626739 (x * y) * ((x * y) * ((x * (y * (x * y))) \ 1)) = a(x,y,x * y). [hyper(5142,a,626373,a(flip),b,397429,a(flip)),rewrite([72446(10),72446(9),66558(8),66663(8)])]. 626803 a(a(x,y,z),z,u) = a(z,a(x,y,z),u). [para(626373(a,2),18461(a,1,1)),rewrite([385118(3),410(2),561(5),397310(7),386756(4),48(4)])]. 626842 L(x,y,y) * a(z,u,y) = L(x * a(z,u,y),y,y). [para(61613(a,1),626373(a,1,1)),rewrite([626680(8),61613(9)])]. 626877 L(x,y * z,a(u,w,y)) * (y * (z * a(u,w,y))) = (x * (y * z)) * a(u,w,y). [para(626373(a,1),401(a,1,2)),rewrite([393579(3)])]. 626888 a(a(x,y,z) * ((z * u) * w),v5,v6) = a(w * (z * (u * a(x,y,z))),v5,v6). [para(626373(a,1),24885(a,1,1,2)),rewrite([626877(7),13808(5),626373(3)]),flip(a)]. 627037 a(x * (y * a(z,u,x)),w,a(v5,v6,v7)) = a(L(y,u,z) * x,w,a(v5,v6,v7)). [para(626373(a,1),395380(a,1,1)),rewrite([419304(10),598239(10)])]. 627050 (L(L(a(x,y,z) \ 1,u,w),v5,v6) \ 1) * v7 = L(L(a(x,y,z) \ 1,v5,v6),u,w) \ v7. [para(420475(a,1),626373(a,1,1)),rewrite([72770(12),158417(10),383773(8),389187(8),398601(4),72770(19),158417(17),383773(15),69927(16),420453(13)]),flip(a)]. 627098 L(x,a(y,z,u),u) = L(x,u,a(y,z,u)). [para(626373(a,1),565641(a,2,2)),rewrite([70(3),49(2),143824(8)]),flip(a)]. 627135 (a(x,y,L(z,y,x)) * y) \ (y * z) = L(z,y,x). [back_rewrite(604340),rewrite([626561(4)]),flip(a)]. 627168 L(x * a(y,x,x),x,y) = x. [back_rewrite(191977),rewrite([626663(4)])]. 627170 L(x,y * x,a(y,x,y * x)) \ (y \ K(y \ x,x \ y)) = a(y,x,y * x) / (y * x). [back_rewrite(598133),rewrite([626673(15)])]. 627192 T(x * (a(y,z,u) * a(w,a(y,z,u),x)),w) = w \ (x * (w * a(y,z,u))). [back_rewrite(610981),rewrite([626704(5)])]. 627281 L(x,y,z) * a(z,y,L(x,y,z)) = L(x,a(z,y,L(x,y,z)),y). [back_rewrite(598026),rewrite([626803(4),396598(4),386985(4)]),flip(a)]. 627302 x * (L(L(a(y,z,u) \ 1,w,v5),v6,v7) \ 1) = L(L(a(y,z,u) \ 1,v6,v7),w,v5) \ x. [back_rewrite(427882),rewrite([627050(8)]),flip(a)]. 627353 x \ (a(y,z,x) * u) = (x \ u) * a(y,z,x). [hyper(7088,a,626704,a,b,385515,a),rewrite([428327(4),51(6)]),flip(a)]. 627401 (x * (L(L(x,y,z) \ x,u,w) \ 1)) / L(x,y,z) = a(w,u,x * L(x,y,z)). [hyper(5142,a,349543,a(flip),b,626704,a),rewrite([72892(3),504631(6),377886(9),323(7),48(8),72892(11)])]. 627468 a(x,y,z) * ((z \ 1) * u) = (z \ 1) * (u * a(x,y,z)). [hyper(5081,a,206986,a,b,626704,a),rewrite([72770(3),72770(6),206986(6),72770(8)]),flip(a)]. 627496 a(x,y,z * L(z,u,w)) * L(z,u,w) = z * (L(L(z,u,w) \ z,y,x) \ 1). [hyper(5081,a,349543,a(flip),b,626704,a),rewrite([72892(3),504631(6),72892(9),377886(12),323(10),48(11)]),flip(a)]. 627502 a(x,y,z) * (z \ 1) = z \ a(x,y,z). [hyper(5081,a,31938,a(flip),b,626704,a),rewrite([72881(5),626536(4),72881(5),31701(7)]),flip(a)]. 627709 a(x,y,z * L(z,u,w)) * (v5 * (z \ L(z,u,w))) = v5 * (L(L(z,u,w) \ z,y,x) \ 1). [para(102113(a,1),626704(a,1,2)),rewrite([72892(3),72892(12),626713(14)])]. 627724 a(x,y,a(z,u,w)) * (L(a(z,u,w),v5,v6) * v7) = L(L(a(z,u,w),v5,v6) \ 1,y,x) \ v7. [para(383773(a,1),626704(a,1,1)),rewrite([383773(11),625372(12)])]. 627831 a(L(x,y,z),z,z) = a(x,z,z). [hyper(5081,a,102153,a,b,626372,a),rewrite([102153(2),272898(3)]),flip(a)]. 627842 L(L(a(x,y,z),u,w),v5,z) = L(a(x,y,z),u,w). [para(626372(a,1),63(a,1,1)),rewrite([382507(2),382507(4)]),flip(a)]. 627929 a(x,y,z) * (1 / z) = a(x,y,z) / z. [hyper(295,a,1143,a,b,626673,a)]. 628014 (x \ 1) * (x \ a(y,z,x)) = x \ (a(y,z,x) / x). [para(626673(a,1),67715(a,1,2)),rewrite([340(4),214420(8),48(8),68101(8)]),flip(a)]. 628043 a(x,y,(z \ a(u,w,z)) * v5) = a(x,y,z * (v5 * a(u,w,z))). [para(626673(a,1),73040(a,2,3,1)),rewrite([340(4),72989(4),626704(3),136497(8)]),flip(a)]. 628045 a(x,y,z * (u * a(w,v5,u))) = a(x,y,u * (z * a(w,v5,u))). [para(626673(a,1),135952(a,2,3,1)),rewrite([340(4),136497(8),628043(8)])]. 628083 R(x,y,z \ a(u,w,z)) = R(x,y,z * a(u,w,z)). [para(626673(a,1),217015(a,2,3)),rewrite([340(4),204273(6)]),flip(a)]. 628106 a(x,a(y,z,u),u) = a(x,u,a(y,z,u)). [para(626673(a,1),265975(a,1,3)),rewrite([204273(4),206104(4),385866(2),627098(2),394194(3),26402(5),612199(5),5528(5),14988(6),72770(6)]),flip(a)]. 628108 a(x,y,z) * (z \ (1 / z)) = (1 / z) * (a(x,y,z) / z). [para(626673(a,1),7751(a,1,1)),rewrite([214420(5),627929(11)])]. 628215 L(x,y,z) * (x \ a(z,y,x)) = a(y * (z \ x),x,a(z,y,x)). [back_rewrite(596705),rewrite([628106(8)])]. 628247 L(a(x,y,z) \ u,z,a(x,y,z)) = (z * a(x,y,z)) \ (z * u). [hyper(295,a,21093,a,b,627098,a),rewrite([385657(6),507158(5)]),flip(a)]. 628267 a(x * (a(y,z,x) * u),w,v5) = a(u * (x * a(y,z,x)),w,v5). [para(627098(a,1),24885(a,1,1,1)),rewrite([385006(5),13808(4)]),flip(a)]. 628320 a(x,L(y,z,u),a(w,v5,L(y,z,u))) = a(x,a(w,v5,L(y,z,u)),y). [hyper(295,a,396754,a(flip),b,628106,a),flip(a)]. 628401 a(x,x \ y,x \ y) \ y = x / ((x \ y) \ 1). [hyper(5142,a,401903,a,b,626243,a),rewrite([401903(6),211789(4),407304(6),337(2)]),flip(a)]. 628418 (x \ 1) / (((x \ 1) \ y) \ 1) = x / ((x \ y) \ 1). [hyper(5142,a,62166,a(flip),b,626243,a),rewrite([212157(8),407304(10),337(4),68874(17),68852(15),46610(13),628401(12)])]. 628609 (a(x,y,z) \ (x * y)) * z = x * (y * z). [para(50(a,1),626243(a,1,1,1,2)),rewrite([50(6)])]. 628619 (a(x,y,z) \ (y * x)) * z = x * (T(y,x) * z). [para(58(a,1),626243(a,1,1,1,2)),rewrite([13927(2),58(6)])]. 628637 (a(x \ y,x,z) \ y) * z = (y / x) * (x * z). [para(340(a,1),626243(a,1,1,1,2)),rewrite([12554(2),340(7)])]. 628937 (a(x,x * R(x,y,z),u) \ R(x,y,z)) * u = x * ((x \ R(x,y,z)) * u). [para(256863(a,2),626243(a,1,1,1,2)),rewrite([256863(2),135845(3)])]. 629051 (a(L(x,y,z),x * L(x,y,z),u) \ x) * T(u,w) = L(x,y,z) * T((L(x,y,z) \ x) * u,w). [para(442423(a,1),626243(a,2,2)),rewrite([13983(5),163152(4)])]. 629052 (x \ a(y,z,u)) \ x = x * (a(y,z,u) \ x). [para(413769(a,1),626243(a,2,2)),rewrite([72770(8),14988(6),454312(6),402886(6),398396(6),413119(6),386756(5),7730(10),113538(9),611595(7),499657(10)]),flip(a)]. 629091 L(a(x,y,z),u,a(x,y,z) * u) = u / ((a(x,y,z) / u) \ 1). [para(604529(a,1),626243(a,2,2)),rewrite([454312(6),402886(6),398396(6),413119(6),386756(5),7730(8),452196(7),605033(5),51(7),383788(11)]),flip(a)]. 629127 (x * (a(y,z,u) \ x)) \ x = a(y,z,u) / x. [back_rewrite(499614),rewrite([629052(3)])]. 629134 (x / ((a(y,z,u) / x) \ 1)) \ 1 = x * ((x * a(y,z,u)) \ 1). [back_rewrite(429179),rewrite([629091(4)])]. 629422 L(x,y * L(z \ L(z,u,w),v5,v6),v7) = L(x,y * L(z * L(z,u,w),v5,v6),v7). [para(626171(a,1),25672(a,1,2,2)),rewrite([25976(5),51(3)]),flip(a)]. 629456 L(x,y,z * L(u \ L(u,w,v5),v6,v7)) = L(x,y,z * L(u * L(u,w,v5),v6,v7)). [para(626171(a,1),83097(a,1,3,2)),rewrite([25976(5),51(3)]),flip(a)]. 629496 (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6) = x * (L(x,y,z) \ L(x \ L(x,u,w),v5,v6)). [para(159097(a,1),626171(a,1,1)),rewrite([457932(13)])]. 629514 L(R(x * L(x,y,z),u,w),v5,v6) = L(L(x * L(x,y,z),u,w),v5,v6). [para(626171(a,1),217392(a,2,1)),rewrite([63(5),381213(4),25954(6),25954(5),68073(4),81670(4),25976(9),51(7),63(8)]),flip(a)]. 629604 L(x,y,z * (L(u,w,v5) * L(L(u,w,v5),v6,v7))) = L(x,y,z * L(u * L(u,v6,v7),w,v5)). [back_rewrite(305891),rewrite([629456(11)])]. 629611 R(x * L(x,y,z),u,w) = L(x * L(x,y,z),u,w). [back_rewrite(341066),rewrite([629514(4),625078(4)]),flip(a)]. 629630 (a(x,y,z) * u) * z = a(x,y,z) * (u * z). [para(626144(a,1),7687(a,1,1)),rewrite([48(5)]),flip(a)]. 629632 a(x,y,z) \ (u * z) = (a(x,y,z) \ u) * z. [para(626144(a,1),594859(a,1,2)),rewrite([49(5)]),flip(a)]. 629672 (a(x * L(x,y,z),L(x,y,z),u) \ x) * u = (L(x,y,z) \ x) * (L(x,y,z) * u). [back_rewrite(195781),rewrite([629632(6)])]. 630150 R(T(a(x,y,z) * u,u * z),z,a(x,y,z) * u) = T(a(x,y,z) * u,z). [para(629630(a,1),6493(a,1,1,2)),rewrite([385631(6)])]. 630369 (a(x,y,z) * u) / (z \ 1) = a(x,y,z) * (u / (z \ 1)). [hyper(5142,a,627468,a,b,385515,a),rewrite([51(7)])]. 630414 (x \ (a(y,z,x) / x)) / (x \ 1) = x \ a(y,z,x). [hyper(5083,a,627468,a,b,159089,a),rewrite([26414(11),627098(9),626624(9),62160(8),628108(7),60881(8),414112(6),414169(4),627502(8),628014(7)]),flip(a)]. 630437 (1 / x) * (a(y,z,x) / x) = x \ (a(y,z,x) / x). [hyper(5081,a,159089,a,b,627468,a),rewrite([627502(8),628014(7),630414(8),628014(5),26414(12),627098(10),626624(10),62160(9),628108(8)]),flip(a)]. 630450 (x * a(y,z,u)) * (u \ 1) = a(y,z,u) * (x * (u \ 1)). [hyper(5081,a,32795,a,b,627468,a),rewrite([385571(7),410(12)])]. 630455 (x \ a(y,z,x)) * K(u,w) = a(y,z,x) * (x \ K(u,w)). [hyper(5081,a,9543,a,b,627468,a),rewrite([385017(7),626536(5),410(6),31850(9)])]. 630582 a(x,y,a(z,u,w)) * (v5 * (a(z,u,w) \ v6)) = v5 * (L(a(z,u,w),y,x) \ v6). [para(627468(a,1),8362(a,2,2)),rewrite([397122(6),69927(13),388653(10),397307(11)])]. 630609 ((x \ (y * y)) * a(z,u,x)) * w = (x \ a(z,u,x)) * ((y * y) * w). [para(627468(a,1),315(a,1,1)),rewrite([57375(6),627502(9)])]. 630951 a(x,x,y) * (y \ K(z,u)) = L(y,x,x) \ K(z,u). [back_rewrite(166116),rewrite([630455(4)])]. 631947 a(x,a(x,y,z),u) * a(a(x,y,z),u,x) = a(a(x,y,z),x,u). [para(626472(a,1),340294(a,1,1)),rewrite([384961(6),72770(11),70949(12),606093(9),339095(7),15065(7),72770(10),22402(10)])]. 631950 (x \ L(x,y,z)) * (u * (w * a(x * L(x,y,z),w,u))) = u * (w * (x \ L(x,y,z))). [para(102113(a,1),626472(a,2,1)),rewrite([64094(5),459363(13)])]. 632593 x \ (y \ ((y * z) * T(x,z))) = z * a(y,z,x). [hyper(5083,a,626475,a,b,9213,a(flip)),rewrite([182(5),13996(5),2045(2),9566(4),168(3),13983(8),13927(7)])]. 632855 x * a(x,x,y) = R(x,x,y). [hyper(5083,a,23536,a,b,626475,a(flip)),rewrite([22924(2),487227(5)]),flip(a)]. 633702 a(x,y,z) \ (u * (x \ a(x,y,z))) = u * (x \ a(a(x,y,z),x,u)). [para(339031(a,1),626475(a,1,2,1)),rewrite([386057(7),50864(11),66271(10)])]. 634034 a(x,y,z) \ (u \ (w \ ((w * a(x,y,z)) * u))) = a(w,a(x,y,z),u). [hyper(7088,a,632593,a,b,1143,a(flip)),rewrite([561(4),561(7)]),flip(a)]. 634056 (x \ (y \ ((a(z,u,w) \ y) * x))) \ (a(z,u,w) \ a(y,a(z,u,w),x)) = 1. [hyper(7049,a,397122,a(flip),b,632593,a),rewrite([397148(4),385657(6),408(4),50864(10)])]. 634247 x \ (y \ ((y * z) * T(x,K(u,w) * z))) = K(x,K(w,u)) * (z * a(y,z,x)). [hyper(7088,a,632593,a(flip),b,33711,a),rewrite([9760(4),548(10),13983(12),5754(12),73(9),75(9),74(9)])]. 634626 (x \ ((x * y) * T(z,y))) / R(T(z,y),u,w) = R(z,u,w) \ (x \ ((x * y) * T(z,y))). [para(632593(a,1),289990(a,1,2,1,2)),rewrite([385118(7)])]. 634686 a(x * a(y,x,z),a(u,w,v5),v6) = a(z * ((y * x) \ (y * z)),a(u,w,v5),v6). [para(632593(a,1),396643(a,1,1)),rewrite([215516(9),12539(11),451678(10),451681(10)])]. 635000 T(R(x,y,z) \ (u \ ((u * w) * T(x,w))),K(x,w)) = R(x,y,z) \ (u \ ((u * w) * T(x,w))). [hyper(5081,a,33622,a,b,634626,a),rewrite([381028(12),50(9),410(9),6332(9),50954(9),634626(15)])]. 635013 K(x,y) * (R(x,z,u) \ (w \ ((w * y) * x))) = (w \ ((w * y) * x)) / R(x,z,u). [para(235(a,1),634626(a,1,1,2,2)),rewrite([235(6),235(12),219492(12)]),flip(a)]. 635024 (R(x,y,z) \ x) * a(u,w,a(v5,v6,v7)) = x * (R(x,y,z) \ a(u,w,a(v5,v6,v7))). [para(7735(a,1),634626(a,1,1,2,1)),rewrite([561(8),8319(6),16927(7),50(4),561(6),298380(5),7735(11),561(14),8319(12),16927(13),50(10),16922(10)]),flip(a)]. 635075 (R(x,y,z) \ x) * K(u,w) = x * (R(x,y,z) \ K(u,w)). [para(11005(a,1),634626(a,1,1,2,2)),rewrite([7725(6),50(7),11005(10),298203(10),219492(9),1039(5),7725(10),168168(9),86(3),48(5),11005(15),7725(14),50(15),60873(14),208459(11),1039(7),9085(10),43680(9),7726(12),542590(12),104858(9),168(8),26853(9),2739(9)]),flip(a)]. 635123 R(x,y,z) \ (a(u,w,v5) * x) = x * (R(x,y,z) \ a(u,w,v5)). [para(7751(a,1),634626(a,1,1,2)),rewrite([561(2),561(2),561(3),50(4),561(4),298203(4),561(7),561(7),561(9),7751(8),50(9)]),flip(a)]. 635287 (x * x) \ a(y,z,x) = x \ (x \ a(y,z,x)). [hyper(5083,a,626663,a,b,69321,a),rewrite([337(4),72770(3),72770(7)]),flip(a)]. 635388 L(x,y * (z \ a(u,w,z)),v5) = L(x,y * (z * a(u,w,z)),v5). [para(626663(a,1),77774(a,2,2,2)),rewrite([420287(4),68878(6)])]. 635468 a(a(x,y,z) * z,a(u,w,v5),v6) = a(z,a(u,w,v5),v6). [para(626663(a,1),396643(a,1,1)),rewrite([451713(4),627929(6),12554(6),396643(6)]),flip(a)]. 635504 L(x,y,z) * ((y * L(x,y,z)) \ (y * x)) = L(x,a(z,y,L(x,y,z)),y). [para(593601(a,1),626663(a,2,2)),rewrite([626663(6),627281(4)]),flip(a)]. 635515 (x * y) \ ((x * y) \ a(x,y,x * y)) = (x * (y * (x * y))) \ 1. [back_rewrite(66663),rewrite([635287(6)])]. 635733 (x * a(y,x,L(z,x,y))) \ (x * z) = L(z,x,y). [hyper(5081,a,26536,a(flip),b,627135,a),rewrite([26536(4),13927(4),385056(5),384404(8)]),flip(a)]. 635743 L(a(x,y,L(z,y,x)) \ z,a(x,y,L(z,y,x)),y) = L(z,y,x). [hyper(295,a,60487,a,b,627135,a),rewrite([58(4),547(3),58(7),547(6)])]. 635784 (a(x,y,L(z,y,x)) * y) \ (z * y) = L(T(z,y),y,x). [para(410(a,1),627135(a,1,2)),rewrite([14986(3)])]. 635787 T(a(x,y,L(z,y,x)) * y,z) = L(z,y,x) \ (y * z). [para(627135(a,1),411(a,1,2)),rewrite([6174(5),627135(9)])]. 635963 L(x,a(y,z,u),w \ v5) = L(x,a(y,z,u),v5 * w). [para(396643(a,1),627135(a,1,1,1)),rewrite([396754(6),413070(8),629632(7),386929(6),7731(7),396646(6),50(7)]),flip(a)]. 635974 L(x,a(y,z,u),L(w,v5,v6)) = L(x,a(y,z,u),w). [para(396598(a,1),627135(a,1,1,1)),rewrite([396754(5),413070(7),629632(6),386929(5),7731(6),396646(5),50(6)]),flip(a)]. 635976 (x \ (L(a(y,z,u) \ 1,x,w) \ 1)) \ ((x \ a(y,z,u)) * w) = L(w,a(y,z,u) * x,a(y,z,u)). [para(452196(a,1),627135(a,1,1)),rewrite([441836(7),339647(8),441836(4),420938(4),441836(15)])]. 636002 a(x,y,z) * a(z,a(x,y,z),u) = L(a(x,y,z),z,u). [para(594514(a,2),627135(a,1,2)),rewrite([383773(3),594514(9),431525(6),386756(4),626803(3)])]. 636250 x \ ((x * a(y,z,x)) * u) = u * L(a(y,z,x),x,u). [back_rewrite(611517),rewrite([636002(4)]),flip(a)]. 636383 L(L(x,a(y,z,L(x,z,y)),z * a(y,z,L(x,z,y))),z,y) = a(y,z,L(x,z,y)) \ x. [hyper(7088,a,635733,a(flip),b,594859,a),rewrite([397257(4),397122(5),397257(10),50864(11),561(10),397257(10),50864(11),386929(11),195716(11),396646(10)]),flip(a)]. 636388 a(x * a(y,x,L(z,x,y)),a(y,x,L(z,x,y)),z) = L(z,x,y) * (z \ a(y,x,L(z,x,y))). [hyper(5083,a,635733,a(flip),b,594859,a),rewrite([397257(4),397122(5),458244(5),397257(12),50864(13)]),flip(a)]. 636465 R(x,y,z) * a(x,a(u,w,v5),v6) = L(R(x,y,z),a(u,w,v5),v6). [para(15336(a,2),635733(a,1,2)),rewrite([396754(6),396839(4),15336(9),388507(8),50(5)])]. 636553 (x * (L(x,x,y * L(x,z,u)) \ x)) \ K(y * x,w) = L(x \ K(y * x,w),x,y * L(x,z,u)). [para(441980(a,1),635733(a,1,1,2,3)),rewrite([96925(10),402089(8),158417(8),603817(6),51(9)])]. 636579 (a(x,y,L(z,y,x)) * L(z,y,x)) \ z = a(y,a(x,y,L(z,y,x)),z). [para(635733(a,1),607718(a,2,1,2)),rewrite([635743(8),628106(4),628320(4)]),flip(a)]. 636867 a(x,y,z) * L(a(x,y,z) \ (z \ 1),u,w) = a(x,y,z) \ L(z \ a(x,y,z),u,w). [para(626536(a,1),423113(a,1,1,1)),rewrite([6706(5)]),flip(a)]. 637046 L(L(x \ 1,y,z),u,a(w,v5,x)) = L(x \ 1,y,z). [para(626624(a,1),64(a,1,1)),flip(a)]. 638177 L(x,y,a(z,u,L(x,w,v5))) = x. [hyper(273,a,64,a,b,626561,a(flip))]. 638196 (a(x,y,z) * u) * L(z,w,v5) = a(x,y,z) * (u * L(z,w,v5)). [para(626561(a,1),24271(a,1,2,1))]. 638357 a(x,y,z) \ (u * L(z,w,v5)) = (a(x,y,z) \ u) * L(z,w,v5). [hyper(5083,a,638196,a,b,13288,a),rewrite([385657(4),547(2),6706(4),51(5)])]. 638410 x * L(y,y,a(z,u,y) * x) = x / (y \ 1). [hyper(5083,a,401861,a(flip),b,638196,a(flip)),rewrite([630369(6),50(7)]),flip(a)]. 638434 (a(x,y,z) * u) * L(T(z,w),v5,v6) = a(x,y,z) * (u * L(T(z,w),v5,v6)). [para(60(a,2),638196(a,1,2)),rewrite([13983(2),60(4),13983(7)])]. 638457 a(L(x,y,z) * (a(u,w,x) * v5),v6,v7) = a(a(u,w,x) * (v5 * L(x,y,z)),v6,v7). [para(638196(a,1),12550(a,1,1)),flip(a)]. 638612 (x * (y * a(z,u,x))) * L(x,w,v5) = a(z,u,x) * ((x * y) * L(x,w,v5)). [para(377027(a,2),638196(a,2,2)),rewrite([626704(3),377027(9)])]. 638680 a(x,y,z) \ (z \ 1) = z \ (a(x,y,z) \ 1). [hyper(7088,a,638357,a,b,502070,a),rewrite([72770(3),6174(6),432889(5),72770(8),69933(10),457631(10)])]. 638706 (a(x,y,z) \ u) / (z \ 1) = a(x,y,z) \ (u / (z \ 1)). [hyper(5081,a,401861,a(flip),b,638357,a),rewrite([83407(9),638410(10)])]. 638831 a(x,y,z) \ (L(z,u,w) * v5) = L(z,u,w) * (a(x,y,z) \ v5). [para(2195(a,1),638357(a,1,2)),rewrite([13983(2),13983(6),430845(9)])]. 638897 a(x,y,z * L(z,u,w)) \ (v5 * (z \ L(z,u,w))) = v5 * L(z \ L(z,u,w),y,x). [para(396752(a,1),638357(a,1,2,2)),rewrite([72892(3),72892(10),396752(15),443901(14),625640(13)])]. 638948 a(x,y,z) * L(z \ (a(x,y,z) \ 1),u,w) = a(x,y,z) \ L(z \ a(x,y,z),u,w). [back_rewrite(636867),rewrite([638680(5)])]. 639751 a(x,y,L(z,u,w)) * (z * v5) = z * (a(x,y,L(z,u,w)) * v5). [para(638177(a,1),11786(a,2,1)),rewrite([385631(6),410(4)])]. 639754 (a(x,y,L(z,u,w)) * v5) * z = a(x,y,L(z,u,w)) * (v5 * z). [para(638177(a,1),380(a,1,2))]. 639756 (x * a(y,z,L(u,w,v5))) * L(u,v6,v7) = a(y,z,L(u,w,v5)) * (x * L(u,v6,v7)). [para(638177(a,1),24422(a,1,2,1)),rewrite([561(10)])]. 639825 (x * y) * a(z,u,L(x,w,v5)) = x * (y * a(z,u,L(x,w,v5))). [para(638177(a,1),398776(a,1,1)),flip(a)]. 639901 a(x,L(y,z,u),a(w,v5,L(y,v6,v7))) = a(x,a(w,v5,L(y,v6,v7)),y). [hyper(7088,a,639756,a(flip),b,7687,a),rewrite([396754(4),382956(9),386889(8),547(5),18525(14)]),flip(a)]. 641186 K(x,T(y,z)) * (u * a(w,u,L(z,u,w))) = z * (K(x,y) * (L(z,u,w) \ u)). [hyper(5083,a,13186,a(flip),b,626396,a),rewrite([26562(4),163015(5),26562(15),12465(13),7724(11)]),flip(a)]. 641701 (x * L(x,y,z)) * (a(x * L(x,y,z),u,w) * v5) = L(x * L(x,y,z),u,w) * v5. [para(629611(a,1),62761(a,1,2,1)),rewrite([622682(9),629611(10)])]. 641752 (x / (y \ (L(y,z,u) \ 1))) * L(y \ (L(y,z,u) \ 1),w,v5) = a(y * L(y,z,u),w,v5) * x. [para(629611(a,2),159326(a,2,1)),rewrite([304789(4),304789(9),629611(14),622682(18)])]. 641773 1 / L(x * L(x,y,z),u,w) = L(x * L(x,y,z),u,w) \ 1. [para(629611(a,2),71644(a,2,2)),rewrite([304789(4),305143(6),629611(9)]),flip(a)]. 642059 a(x,x \ y,x \ y) * (x / ((x \ y) \ 1)) = y. [hyper(5457,a,628401,a)]. 642155 a(x,x \ y,x \ y) \ 1 = y \ (x / ((x \ y) \ 1)). [hyper(7088,a,628401,a(flip),b,397122,a),rewrite([293938(6)])]. 642210 (x \ (y / ((y \ x) \ 1))) * x = y / ((y \ x) \ 1). [hyper(5081,a,397122,a,b,628401,a(flip)),rewrite([642155(5)])]. 642285 (x \ (y / ((y \ x) \ 1))) \ x = a(y,y \ x,y \ x) * x. [para(628401(a,1),68073(a,1,2)),rewrite([400179(12),642059(11),642155(9)]),flip(a)]. 642514 L(x,a(y,y \ z,y \ z) * z,u) = L(x,(y \ z) \ y,u). [para(628401(a,1),394477(a,1,2)),rewrite([28057(5),68875(5)]),flip(a)]. 642541 L(x,y \ (((z \ y) \ 1) \ z),u) = L(x,((z \ y) \ z) \ y,u). [para(628401(a,1),492543(a,2,2,2)),rewrite([642155(5),439588(8),28029(6),69441(6),239497(10)]),flip(a)]. 642613 (x \ (y * ((x \ y) \ 1))) \ 1 = y \ (x / ((x \ y) \ 1)). [back_rewrite(605573),rewrite([642155(5)]),flip(a)]. 642893 ((a(x,y,z) \ u) \ 1) \ (a(x,y,z) / u) = (a(x,y,z) \ u) * (a(x,y,z) / u). [para(629127(a,1),345579(a,1,2)),rewrite([50(4),50(11),629127(13)])]. 642897 R(x * (a(y,z,u) \ x),x \ a(y,z,u),a(y,z,u) * x) = x * ((a(y,z,u) / x) \ 1). [para(629127(a,1),346044(a,1,1,1)),rewrite([50(6),605035(5),388135(8),630582(8),629091(4),340(6),629127(12),50(14),398536(13),214508(13)]),flip(a)]. 642968 L(x \ a(y,z,u),a(y,z,u) * x,x) = L(a(y,z,u) / x,a(y,z,u) * x,a(y,z,u)). [para(629127(a,1),60895(a,1,1)),rewrite([394477(6),394477(11)]),flip(a)]. 643107 (x \ a(y,z,x)) * (u * u) = a(y,z,x) * (x \ (u * u)). [para(627502(a,1),7(a,1,1)),rewrite([62166(9)])]. 643108 (x * (y \ a(z,u,y))) \ (a(z,u,y) * (x * (y \ 1))) = a(x,y,a(z,u,y)). [para(627502(a,1),54(a,1,1,2)),rewrite([630450(8),72770(13),628106(11)])]. 643118 (a(x,y,z) * (z \ (u * u))) * w = (z \ a(x,y,z)) * ((u * u) * w). [para(627502(a,1),315(a,2,1)),rewrite([62166(5)])]. 643128 (x \ a(y,z,x)) \ (a(y,z,x) * u) = L((x \ 1) \ u,x,a(y,z,x)). [para(627502(a,1),21093(a,1,2,1)),rewrite([405411(8),324(6),416917(7),28083(12)])]. 643177 (x \ a(y,z,x)) * (((x \ 1) \ 1) * u) = (a(y,z,x) * x) * ((x \ 1) * u). [para(627502(a,1),190596(a,2,1)),rewrite([337(5)]),flip(a)]. 643223 a(x,y,z \ u) * ((z \ (u \ 1)) \ 1) = (z \ (u \ 1)) \ a(x,y,z \ u). [para(403612(a,1),627502(a,1,1)),rewrite([403612(15)])]. 643251 a(x,y,z) * (u * a(z,a(x,y,z),z * u)) = (z \ a(x,y,z)) * ((z \ 1) \ u). [para(627502(a,1),598732(a,2,1)),rewrite([68874(8),50864(6),626803(4),399012(4)])]. 643261 a(x,y,z) \ (u * (z \ a(x,y,z))) = u * (z \ a(z,a(x,y,z),u)). [para(627502(a,1),626475(a,1,2,1)),rewrite([386057(7),50864(11),626803(9),338014(10)])]. 643269 R(x * y,y \ x,y \ x) = T(x * y,y \ (x \ 1)). [back_rewrite(604890),rewrite([643223(8),602143(6)]),flip(a)]. 643270 ((x \ y) * ((1 / y) * x)) \ (y * x) = (x \ (y \ 1)) \ 1. [back_rewrite(604772),rewrite([643269(6),394737(8),493958(8),604710(8)])]. 643271 a(x,y,y \ x) \ (((x * y) \ 1) \ 1) = (y \ (x \ 1)) \ 1. [back_rewrite(604710),rewrite([643270(15)])]. 643295 ((a(x,y,z) \ z) \ 1) \ a(a(x,y,z) * z,z,a(x,y,z)) = (z \ a(x,y,z)) \ 1. [hyper(7088,a,643108,a(flip),b,61780,a),rewrite([413503(4),514004(12),630437(12),643128(12),354827(10),420428(9),626663(8),50(7),397552(8),405411(9),49(8),385459(7),413530(7),514004(12),630437(12),643128(12),354827(10),420428(9),626663(8),50(7),397552(8),395104(12)]),flip(a)]. 643394 a(x * a(y,z,u),x,a(w,v5,x)) = 1. [para(7751(a,1),643108(a,1,2,2)),rewrite([627468(16),394565(15),626536(14),397310(15),454312(6),396643(6),48(2),386929(6),635468(5),130(3),49(3),396183(7),48(5)]),flip(a)]. 643405 a(a(x,y,z) * z,z,a(x,y,z)) = 1. [para(345579(a,2),643108(a,1,1)),rewrite([345579(7),604529(5),626803(4),397287(10),626149(9),51(9),386929(6),628106(5),48(6),395104(8),643394(8)])]. 643456 ((a(x,y,z) \ z) \ 1) \ 1 = (z \ a(x,y,z)) \ 1. [back_rewrite(643295),rewrite([643405(8)])]. 643472 a(x,y,z) * (L(z,u,w) * (a(x,y,z) \ v5)) = L(z,u,w) * v5. [hyper(5457,a,638831,a)]. 643625 a(L(x,y,z) * (u * a(w,v5,x)),v6,v7) = a(a(w,v5,x) * (L(x,y,z) * u),v6,v7). [para(638831(a,1),398307(a,1,1)),rewrite([398387(5)])]. 643643 L(a(x,y,z),u,w) * (a(v5,v6,a(x,y,z)) * v7) = L(L(a(x,y,z),u,w) \ 1,v6,v5) \ v7. [para(398680(a,1),638831(a,1,1)),rewrite([388135(6),627724(6),398680(12),388135(11)]),flip(a)]. 643679 a(x,y,z) * (L(z,u,w) * (v5 * (a(x,y,z) \ a(v6,v7,v8)))) = L(z,u,w) * (v5 * a(v6,v7,v8)). [para(595014(a,1),638831(a,2,2)),rewrite([400179(6),399504(8),400789(6),397055(13),49(12)])]. 643896 L(x,y,z) * (u * a(w,v5,x)) = a(w,v5,x) * (L(x,y,z) * u). [para(58(a,1),643472(a,1,2,2)),rewrite([561(4)]),flip(a)]. 643908 a(x,L(L(a(y,z,u),w,v5),v6,v7) * v8,v9) = a(x,v8 * a(y,z,u),v9). [para(643472(a,1),12186(a,1,2)),rewrite([452264(4),386756(8),625334(9)]),flip(a)]. 643916 L(x,L(L(a(y,z,u),w,v5),v6,v7) * v8,v9) = L(x,v8 * a(y,z,u),v9). [para(643472(a,1),21156(a,1,2)),rewrite([452507(4),386756(8),625334(9)]),flip(a)]. 644114 (L(x,y,z) * u) * a(w,v5,x) = L(x,y,z) * (u * a(w,v5,x)). [hyper(5081,a,123713,a,b,643896,a),rewrite([382507(6),423477(11),22931(11)])]. 644389 L(x,y,z) * (((L(x,y,z) \ 1) * u) * a(w,v5,x)) = a(w,v5,x) * L(u,L(x,y,z),L(x,y,z)). [para(61613(a,1),643896(a,2,2))]. 644439 a(L(x,y,z) * (a(u,w,x) * v5),v6,v7) = a(a(u,w,x) * (L(x,y,z) * v5),v6,v7). [para(643896(a,1),46791(a,1,1)),flip(a)]. 644473 L(x,y,a(z,u,w) * ((w * v5) * L(w,v6,v7))) = L(x,y,w * (a(z,u,w) * (L(w,v6,v7) * v5))). [para(643896(a,1),162753(a,2,3,2)),rewrite([638612(5)])]. 644706 a(x,y,z * L(z,u,w)) \ v5 = a(z * L(z,u,w),y,x) * v5. [hyper(5083,a,629632,a,b,102113,a),rewrite([72892(5),638897(9),626204(7),72892(7)]),flip(a)]. 645742 a(L(x \ L(x,y,z),u,w) * v5,v6,v7) = a(L(x * L(x,y,z),u,w) * v5,v6,v7). [para(626730(a,2),65261(a,2,1)),rewrite([644706(6),626203(7),626730(12),644706(11),641701(12)])]. 645947 a((R(x,y,z) * L(R(x,y,z),u,w)) * v5,v6,v7) = a(L(x * L(x,u,w),y,z) * v5,v6,v7). [back_rewrite(308013),rewrite([645742(11)])]. 645950 a((L(x,y,z) * L(L(x,y,z),u,w)) * v5,v6,v7) = a(L(x * L(x,u,w),y,z) * v5,v6,v7). [back_rewrite(305651),rewrite([645742(11)])]. 645994 (x \ (a(y,z,u) \ w)) * a(v5,v6,a(y,z,u)) = x \ (L(a(y,z,u),v6,v5) \ w). [hyper(5083,a,626380,a,b,8271,a),rewrite([626380(5),400742(5),388653(4),397922(5)]),flip(a)]. 646032 a(x,y,z) \ (z \ u) = z \ (a(x,y,z) \ u). [hyper(7088,a,145188,a,b,626380,a(flip)),rewrite([561(5),70(9),49(7)]),flip(a)]. 646288 (L(a(x,y,z),u,w) \ v5) * a(v6,v7,v8) = v5 * (L(a(x,y,z),u,w) \ a(v6,v7,v8)). [para(626380(a,1),400742(a,1,1)),rewrite([400742(5),388653(4),397922(5),7732(12),431862(11)])]. 646361 x \ (y * L(a(z,u,x),w,v5)) = (x \ y) * L(a(z,u,x),w,v5). [para(629632(a,2),626380(a,1,2)),rewrite([629632(5),386756(3),394568(5),398604(5),386756(7),70966(8),394568(10),398604(10)])]. 646589 a(x,y,z) \ ((z \ 1) \ u) = (z \ 1) \ (a(x,y,z) \ u). [hyper(5083,a,646032,a,b,31968,a),rewrite([72881(4),5754(7),54817(7),562(3),547(3),72881(10)])]. 646688 L(x,y \ (a(z,u,y) \ w),v5) = L(x,(y \ w) * a(z,u,y),v5). [para(646032(a,1),68875(a,2,2)),rewrite([397087(5)]),flip(a)]. 646740 a(x,y,z) * (z \ L(a(x,y,z) \ z,u,w)) = z * (a(x,y,z) \ L(z \ a(x,y,z),u,w)). [para(646032(a,1),70526(a,1,2,2,1)),rewrite([638948(7),398785(12)]),flip(a)]. 646754 (x \ y) \ (a(z,u,x) * ((x \ (a(z,u,x) \ y)) * w)) = L(w,(x \ y) * a(z,u,x),a(z,u,x)). [para(646032(a,1),381(a,1,2,2,1)),rewrite([646032(11),646688(13)])]. 646840 (x \ (a(y,z,x) \ u)) * a(w,v5,v6) = (x \ u) * (a(y,z,x) \ a(w,v5,v6)). [para(646032(a,1),400742(a,1,1))]. 646929 L(a(x,y,z),u,w) \ (z \ v5) = z \ (L(a(x,y,z),u,w) \ v5). [para(626380(a,1),646032(a,2,2)),rewrite([16922(5),626380(6),646032(3),646840(6),388653(5),397922(6),400742(9),388653(8),397922(9)])]. 647666 (L(L(x,y,z),u,w) * v5) * a(v6,v7,L(x,u,w)) = L(L(x,u,w),y,z) * (v5 * a(v6,v7,L(x,u,w))). [para(64(a,1),644114(a,1,1,1))]. 647706 ((L(x,y,z) \ 1) * u) * a(w,v5,x) = (L(x,y,z) \ 1) * (u * a(w,v5,x)). [para(69321(a,1),644114(a,1,1)),rewrite([69926(14)])]. 647813 a(x,y,z) * L(u,L(z,w,v5),L(z,w,v5)) = L(u * a(x,y,z),L(z,w,v5),L(z,w,v5)). [back_rewrite(644389),rewrite([647706(7),61613(8)]),flip(a)]. 647829 R(x \ 1,y,z) \ (x \ 1) = R(x,y,z) \ x. [hyper(7088,a,69321,a,b,635075,a),rewrite([287703(8),291310(14),50(9),5754(12),32394(12),298396(10),287703(10)])]. 647851 T(T(x,y),T(x \ K(z,u),y)) = T(T(x,y),x \ K(z,u)). [hyper(7088,a,635075,a,b,7760,a),rewrite([11209(6),446432(6),448437(5),11209(10),635075(13),447397(14),168(7)])]. 647897 L(x,y,z) * (L(R(x,u,w),y,z) \ 1) = L(R(x,u,w),y,z) \ L(x,y,z). [hyper(5142,a,643472,a,b,635075,a),rewrite([63(5),643472(10),9510(8),7726(8),31701(7),63(8)])]. 647902 L(R(x \ 1,y,z),u,w) \ L(x \ 1,u,w) = L(R(x,y,z),u,w) \ L(x,u,w). [hyper(5142,a,157346,a,b,635075,a),rewrite([63(6),291413(9),50(3),9510(8),7726(8),31701(7),647897(6),63(8)]),flip(a)]. 648010 x * (R(x,y,z) \ K(u,u \ 1)) = (u \ (R(x,y,z) \ x)) * u. [hyper(295,a,2412,a(flip),b,635075,a),rewrite([519683(9),323(6),64714(8)]),flip(a)]. 648011 (x \ (R(y,z,u) \ y)) * x = x * ((R(y,z,u) \ y) / x). [hyper(295,a,197,a(flip),b,635075,a),rewrite([290916(9),323(6),648010(10)]),flip(a)]. 648035 T(x \ (R(y,z,u) \ y),x) = (R(y,z,u) \ y) / x. [hyper(7088,a,635075,a(flip),b,2412,a(flip)),rewrite([519683(9),323(6),64714(8),648010(10),648011(8),50(9)])]. 648105 (x * (R(x,y,z) \ K(u,w))) * v5 = (R(x,y,z) \ x) * (K(u,w) * v5). [para(635075(a,1),7687(a,2,1)),rewrite([9(4),48(7)]),flip(a)]. 648182 a(x,y,z \ R(z,u,w)) = a(x,y,z * R(z,u,w)). [para(635075(a,2),72848(a,2,3)),rewrite([136123(7),62944(4),635075(7),136123(8),11009(5)])]. 648206 x \ (y * (R(y,z,u) \ K(w,v5))) = (x \ (R(y,z,u) \ y)) * K(w,v5). [para(635075(a,1),95099(a,1,2)),rewrite([5826(5)])]. 648274 (x * (y * (R(y,z,u) \ K(w,v5)))) / v6 = (x * (R(y,z,u) \ y)) / (v6 * K(v5,w)). [para(635075(a,1),179006(a,1,1,2))]. 648318 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(2426(a,1),635075(a,2,2)),rewrite([520061(7),6332(6),95539(6)])]. 648501 a(x,y,R(z,u,w) \ z) = a(x,y,z * R(z,u,w)). [back_rewrite(358270),rewrite([648182(6)])]. 648903 (x \ (R(R(y,z,u),w,v5) \ R(y,w,v5))) * x = x * ((R(R(y,w,v5),z,u) \ R(y,w,v5)) / x). [para(65(a,1),648011(a,1,1,2,1))]. 648957 L(x,y,L(z * (R(z,u,w) \ K(v5,v6)),v7,v8)) = L(x,y,L(z \ R(z,u,w),v7,v8)). [para(648011(a,2),28010(a,1,3,1)),rewrite([5754(4),7726(6),635075(5),32394(6),298396(4),287703(4),358285(4),9510(8),635075(8)]),flip(a)]. 649399 (x / y) * L(y,z,z \ x) = a(z \ x,z,y) \ x. [hyper(5142,a,11786,a(flip),b,628637,a),rewrite([26402(2),53(4),53(5),381173(5),53(7),13983(7)])]. 649590 a(a(x,y,z) * u,u,w) \ w = L(w,u,a(x,y,z) * u). [hyper(5083,a,628637,a(flip),b,400273,a(flip)),rewrite([26456(6),612199(3),440389(6)]),flip(a)]. 649593 a(x,y,z) * L(u,w,a(x,y,z) * w) = (a(x,y,z) / w) * (w * u). [hyper(5081,a,400273,a(flip),b,628637,a(flip)),rewrite([440389(4),649590(5)])]. 649922 (L(T(x,y),z,u) \ x) * (L(T(x,y),z,u) * w) = (L(x,z,u) \ x) * (L(x,z,u) * w). [para(162937(a,2),628637(a,1,1,1,1)),rewrite([162937(5),14785(6),20060(5),163148(4),629672(6),96610(8)]),flip(a)]. 650029 (a(x * R(x,y,z),x,u) \ R(x,y,z)) * u = (x \ R(x,y,z)) * (x * u). [para(256863(a,1),628637(a,2,1)),rewrite([134340(3)])]. 650096 (a(x * L(x,y,z),L(x,y,z),u) \ (x \ 1)) * u = (x \ L(x,y,z)) * ((L(x,y,z) \ 1) * u). [para(355091(a,1),628637(a,2,1)),rewrite([354134(4),96371(6),64094(4),269784(15)])]. 650113 a(x,a(y,z,u),w) * (x * v5) = L(x,a(y,z,u),w) * v5. [para(386956(a,1),628637(a,1,1,1,1)),rewrite([40(3),324(4),188068(6),386956(6)]),flip(a)]. 650369 (L(x,y,z) \ x) * (L(x,y,z) * (x \ u)) = (L(x,y,z) \ x) * ((u / x) * L(x,y,z)). [back_rewrite(503540),rewrite([649922(8)])]. 650717 (x / y) * L(y,L(x,z,u),x * L(x,z,u)) = a(x * L(x,z,u),L(x,z,u),y) \ x. [para(91483(a,2),649399(a,1,2,3)),rewrite([91483(4),165303(5),163148(10)])]. 651077 (x \ ((x / y) / (y \ 1))) * x = (x / y) / (y \ 1). [para(340(a,1),642210(a,1,1,2,2,1)),rewrite([340(9)])]. 651435 x / (x * (a(y,z,u) \ x)) = x \ a(y,z,u). [hyper(6683,a,629052,a)]. 651602 ((x \ a(y,z,u)) * (x \ a(y,z,u))) * (x * (a(y,z,u) \ x)) = ((x \ a(y,z,u)) \ 1) \ x. [para(629052(a,1),68073(a,1,2))]. 651603 L(x * (a(y,z,u) \ x),a(y,z,u) * x,a(y,z,u) * x) = ((a(y,z,u) / x) \ 1) * x. [para(629052(a,1),60426(a,1,1)),rewrite([612199(8),441836(8),413503(12)])]. 651616 L(x,y,z * (u * (a(w,v5,v6) \ u))) = L(x,y,a(w,v5,v6) * z). [para(629052(a,2),85452(a,2,3,2)),rewrite([397682(4),85268(7),169249(6),384778(4),629052(6)]),flip(a)]. 651731 (x \ a(y,z,u)) * L(x \ 1,x,a(y,z,u)) = x \ (a(y,z,u) / x). [para(268789(a,2),629052(a,2,2)),rewrite([426053(4),356881(7),420286(6),561(9),393579(9)]),flip(a)]. 651834 L(L(a(x,y,z) \ (u * u),w,v5),u,u) = L(u * (a(x,y,z) \ u),w,v5). [para(629052(a,2),61616(a,2,1)),rewrite([397596(5),629052(8)])]. 652133 (x \ a(y,z,x)) * ((x \ 1) \ u) = (a(y,z,x) * x) * (x \ u). [para(643107(a,2),112220(a,2,1)),rewrite([561(8),630609(8),66506(7),643107(10),602707(14)])]. 652238 a(x,y,z) \ ((z \ a(x,y,z)) * ((u * u) * w)) = a(x,y,z) * ((z \ (a(x,y,z) \ (u * u))) * w). [para(643107(a,2),335944(a,1,2,1)),rewrite([643107(7),643118(8),397122(9),6706(11),397122(14),646032(12)])]. 652307 L(x,y * a(z,u,y),a(z,u,y)) = x * a(y,a(z,u,y),x). [para(643107(a,2),594514(a,1,2,2,1)),rewrite([66369(6),626803(4),5535(5),643107(7),643118(8),652238(9),646754(10),70109(6),66369(8),626803(6)])]. 652331 a(x,y,z) * (u * a(z,a(x,y,z),z * u)) = (a(x,y,z) * z) * (z \ u). [back_rewrite(643251),rewrite([652133(12)])]. 652376 L(L(a(x,y,z),u,w),u,w) * (v5 * a(w,u,a(x,y,z))) = v5 * L(a(x,y,z),u,w). [para(627842(a,1),344040(a,1,1,2)),rewrite([458505(5),626124(9),646288(8),388661(7),397308(12),58(11),60(10),547(9),627842(10)])]. 652497 L(x \ L(x,y,z),u,w) * L(x \ 1,u,w) = L(L(x \ 1,u,w),y,z). [para(637046(a,1),350965(a,1,2)),rewrite([305327(8),304101(6),324(3),48(3),637046(19),323(18),49(13)])]. 652652 L(a(x,y,z) * L(u,w,v5),a(x,y,z),v5 * w) = (a(x,y,z) \ (v5 * w)) \ (v5 * (w * u)). [hyper(295,a,385434,a,b,398858,a)]. 652963 R(x,(y \ z) * L(z / y,u,w),v5) = R(x,(y \ z) * L(y \ z,u,w),v5). [para(254002(a,2),216240(a,1,2)),rewrite([306668(4),168807(9),89292(8),168807(9),254002(9),503422(5),503464(10)]),flip(a)]. 652983 (x / (y / z)) * L(y / z,u,w) = (x / (z \ y)) * L(z \ y,u,w). [back_rewrite(503516),rewrite([652963(12),503497(12),165872(12)]),flip(a)]. 653086 L(L(x,y,L(L(x,z,u),w,v5)),z,u) = L(L(x,y,x),z,u). [hyper(273,a,417,a(flip),b,464010,a(flip)),rewrite([464010(7)])]. 653241 (x * L(L(y,x,y),z,u)) \ (x * L(y,z,u)) = a(y,x,y). [para(464010(a,1),593601(a,1,3)),rewrite([466233(4),460559(3),464010(4)]),flip(a)]. 653614 L(L(x \ L(x,y,z),y,z),y,z) / L(L(L(x,y,z),y,z) \ 1,y,z) = L(L(x,y,z),y,z). [hyper(5142,a,305737,a(flip),b,69933,a)]. 653618 L(L(x,y,z),y,z) \ L(L(x \ L(x,y,z),y,z),y,z) = L(L(L(x,y,z),y,z) \ 1,y,z). [hyper(5083,a,305737,a(flip),b,69933,a)]. 654003 R(x * (a(y,z,u) \ x),w,v5) = L(x * (a(y,z,u) \ x),w,v5). [para(629052(a,2),61350(a,2,1)),rewrite([397596(5),400733(4),651834(5),629052(7)]),flip(a)]. 654044 ((a(x,y,z) / u) \ 1) * u = u * ((a(x,y,z) / u) \ 1). [back_rewrite(642897),rewrite([654003(8),441836(8),651603(8)])]. 654443 T((L(x,y,z) * u) * a(w,v5,v6),x * u) = a(w,v5,v6) * (L(x,y,z) * u). [hyper(7088,a,101929,a,b,7751,a),rewrite([380648(7),101929(20),50(16)])]. 654771 L(R(x,y,z),u,w) * (y * (z \ 1)) = (L(x,u,w) * y) * (z \ 1). [hyper(5081,a,214198,a,b,101929,a),rewrite([214198(4),206104(8)]),flip(a)]. 654907 a(x,(y * z) * L(R(u,y,z),w,v5),v6) = a(x,(L(u,w,v5) * y) * z,v6). [para(101929(a,1),14794(a,1,2)),flip(a)]. 655256 ((x \ y) * y) \ L((x \ y) * y,z,u) = y * (L(x,z,u) * (x \ (y \ 1))). [back_rewrite(161781),rewrite([654771(8),460071(6)]),flip(a)]. 655284 R(x,x \ y,y) * L((x \ y) * (y \ 1),z,u) = y * (L(x,z,u) * (x \ (y \ 1))). [back_rewrite(161832),rewrite([655256(14)])]. 655313 L(L(x \ L(x,y,z),u,w) \ 1,L(R(x,u,w),y,z),z * y) = a(z,y,R(x,u,w)). [para(306585(a,1),25021(a,1,1)),rewrite([54(16)])]. 655959 (R(x,y,z) * a(u,w,v5)) \ (v6 * R(x,y,z)) = (a(u,w,v5) * x) \ (v6 * x). [para(5593(a,2),386623(a,2,1)),rewrite([6492(4),209136(6),635974(6),386623(5),11(6),48(9)]),flip(a)]. 656007 (L(x,y,z) * a(u,w,v5)) \ (v6 * L(x,y,z)) = (a(u,w,v5) * x) \ (v6 * x). [para(13542(a,2),386623(a,2,1)),rewrite([6174(4),635974(6),386623(5),11(6),48(9)]),flip(a)]. 656026 (a(x,y,z) * L(u,w,v5)) \ (u \ L(u,w,v5)) = (u * a(x,y,z)) \ 1. [para(70237(a,1),386623(a,2,2)),rewrite([6174(6),432889(5),635974(7),11892(6)]),flip(a)]. 657487 K(x,T(y,z)) * (u * (K(y,x) * w)) = K(y,x) * (u * (K(x,T(y,z)) * w)). [para(408557(a,2),10693(a,1,2,1)),rewrite([5754(5),2598(6),37797(5),5678(5),5754(5),1039(4),2729(5),7725(5),5678(8),5754(8),7724(12)])]. 657514 T(x,y) \ ((x * a(z,u,w)) * y) = x \ (y * (x * a(z,u,w))). [para(595014(a,1),408557(a,2,1)),rewrite([403603(6),158527(4),458586(4),458182(5),386889(6),404119(4),380648(4),51(2),611514(7),396598(9),627192(11)])]. 657601 K(x,K(y,z)) * (T(u,K(x,y)) * w) = K(y,x) * (u * (K(x,T(y,z)) * w)). [back_rewrite(53321),rewrite([657487(6),74(8),562(10)]),flip(a)]. 657605 K(x,T(y,z * u)) * (w * (K(y,T(x,z)) * v5)) = K(y,x) * (w * (K(x,T(y,u)) * v5)). [back_rewrite(550212),rewrite([74(10),562(12),657601(14)])]. 658061 L(L(x \ L(x,y,z),x,u),u,L(x,y,z)) = L(x \ L(x,y,z),x,u * L(x,y,z)). [hyper(5081,a,304442,a,b,60534,a),rewrite([304442(8),402311(8),6174(7),304810(10)]),flip(a)]. 658129 L(T(x / y,z) \ u,y \ x,z) = ((x / y) * z) \ (z * u). [hyper(295,a,28057,a(flip),b,60534,a)]. 658516 L(T(x,x \ 1) \ y,x,L(x,z,u)) = (L(x,z,u) \ x) \ ((L(x,z,u) \ 1) * y). [para(159097(a,1),60534(a,2,1)),rewrite([408211(4),26414(8)])]. 658539 L(x,x,y) \ ((x * x) * z) = L(1 / x,x,y) \ z. [para(89885(a,1),60534(a,2,1)),rewrite([172315(4),320(8)]),flip(a)]. 658614 L(T(x,x \ 1) \ y,x,L(x,z,u)) = (x \ R(x,z,u)) \ (R(x \ 1,z,u) * y). [para(272385(a,1),60534(a,2,1)),rewrite([6492(4),209136(8),83591(8)])]. 658826 (x * L(a(y,z,u),w,v5)) \ ((x * a(y,z,u)) * v6) = a(v5,w,a(y,z,u)) * v6. [para(398604(a,1),60534(a,2,1)),rewrite([385118(5),547(3),388135(3),5533(8)]),flip(a)]. 658827 (x \ L(a(y,z,u),w,v5)) \ ((x \ a(y,z,u)) * v6) = a(v5,w,a(y,z,u)) * v6. [para(452196(a,1),60534(a,2,1)),rewrite([385459(5),547(5),388135(3),612199(8),5533(8)]),flip(a)]. 660979 L(x,y,a(z,u,z * u)) = L(x,y,a(u,u,z)). [para(75346(a,1),83146(a,2,3,2)),rewrite([64035(4),83146(3),165567(3),363814(9),85365(9),13325(6),398670(7)]),flip(a)]. 660987 L(x,y,z * (u * (w * u))) = L(x,y,z * L(w,u,u)). [para(75346(a,2),85452(a,2,3,2)),rewrite([7726(5),85790(8),363814(6),85365(6),85875(8)])]. 661201 R(x,y,((1 / z) * (u * z)) \ w) = R(x,y,L(u,z,z) \ w). [para(75346(a,1),216879(a,1,3,1))]. 661631 L(x,y * x,a(x,x,y)) \ (y \ K(y \ x,x \ y)) = a(y,x,y * x) / (y * x). [back_rewrite(627170),rewrite([660979(4)])]. 662092 L(L(T(x,y),z,u),w,v5) \ (L(x,z,u) * v6) = L(x,z,u) * (L(L(T(x,y),z,u),w,v5) \ v6). [hyper(5081,a,643472,a,b,162919,a),rewrite([60(5),643472(10),60(8)]),flip(a)]. 662841 L(a(x,y,z) \ K(u,w),a(v5,v6,v7),v8) = a(x,y,z) \ K(u,w). [para(398799(a,1),26653(a,1,1)),rewrite([31850(5),31850(8)]),flip(a)]. 662843 (K(x,y) / z) \ (a(u,w,v5) \ K(x,y)) = (1 / z) \ (a(u,w,v5) \ 1). [para(398799(a,1),193473(a,2,2)),rewrite([397148(7),662841(7)])]. 662948 a((a(x,y,z) * (L(u,w,a(x,y,z)) * w)) \ v5,v6,v7) = a((u * (a(x,y,z) \ w)) \ v5,v6,v7). [para(494677(a,1),13835(a,2,1,1)),rewrite([294925(6),420805(8),380(6),397148(4)]),flip(a)]. 662980 L(L(a(x,y,z) \ 1,u,w),u,w) * (L(w,u,a(x,y,z)) * u) = w * (a(x,y,z) \ u). [para(494677(a,1),68073(a,1,2)),rewrite([311769(15),397393(9),81685(7),397148(6),398601(4),420478(17),380(15),397148(13)])]. 663003 a(x \ (a(y,z,u) * (L(w,v5,a(y,z,u)) * v5)),v6,v7) = a(x \ (w * (a(y,z,u) \ v5)),v6,v7). [para(494677(a,1),96322(a,2,1,2)),rewrite([60(5),293938(4),420844(8),380(6),397148(4)]),flip(a)]. 663034 R(x,y,a(z,u,w) * (L(v5,v6,a(z,u,w)) * v6)) = R(x,y,v5 * (v6 * a(z,u,w))). [para(494677(a,2),216640(a,2,3)),rewrite([547(2),277477(13),420887(11),15015(10)])]. 663076 (L(x,y,a(z,u,w)) * y) * a(z,u,w) = a(z,u,w) * (L(x,y,a(z,u,w)) * y). [para(494677(a,2),84326(a,1,2)),rewrite([403603(12),415956(12),397087(9),381302(9),386889(9),654443(7)]),flip(a)]. 663093 L(x,y,a(z,u,w) * y) * a(z,u,w) = (a(z,u,w) / y) * (y * x). [para(507605(a,1),494677(a,2,2,1)),rewrite([612199(6),83146(8),443016(8),612199(6),377886(8),323(4),48(5),397087(7),440389(9),397122(12),649590(10),649593(10)])]. 663126 T(x,y) / T(L(a(z,u,w) \ 1,v5,v6) \ x,y) = L(a(z,u,w) \ 1,v5,v6). [hyper(6683,a,420738,a)]. 663760 L(a(x,y,z),u,w) \ (v5 * a(v6,v7,v8)) = (L(a(x,y,z),u,w) \ a(v6,v7,v8)) * v5. [hyper(5083,a,595014,a(flip),b,643643,a),rewrite([396598(10),396643(9),48(7),396598(7),397055(6),49(5),158121(16),452194(10),456247(11),646288(11),48(11)])]. 664042 T(x,y) \ T(x * L(z,u,w),v5) = L(T(x,y) \ T(x * z,v5),u,w). [hyper(5083,a,376596,a,b,8936,a),rewrite([95634(6),5754(3),26458(3),26653(6),7726(5),565715(6)]),flip(a)]. 664075 x \ T(x * L(y,z,u),w) = L(x \ T(x * y,w),z,u). [hyper(295,a,562363,a,b,376596,a),flip(a)]. 664487 (a(x,y,z) \ u) \ T(u * (a(x,y,z) \ L(a(w,v5,v6),v7,v8)),v9) = L(a(w,v5,v6) * K(u,v9),v7,v8). [para(400742(a,1),376596(a,1,1,2,1)),rewrite([447186(6),6706(3),384632(4),452938(11)]),flip(a)]. 664649 L(T(x,x \ (x \ y)),z,u) = L(L(T(x,y),x,x),z,u). [back_rewrite(427448),rewrite([664042(10),277673(9)]),flip(a)]. 664830 L(L(T(x,y),x,x),z,u) \ y = (x \ (L(x,z,u) \ y)) * x. [back_rewrite(449654),rewrite([664649(4)])]. 664836 (x \ (L(x,y,z) \ u)) \ (x \ u) = L(L(T(x,u),x,x),y,z). [back_rewrite(408272),rewrite([664649(9)])]. 665908 x * L(x \ a(y,z,u),a(y,z,u) * x,x) = x / ((x \ a(y,z,u)) \ 1). [hyper(5081,a,401861,a(flip),b,423145,a),rewrite([441836(10),423145(11)]),flip(a)]. 666169 L(x \ ((x / (x * y)) * R(x * y,z,u)),L(y,x,x) \ x,u * z) = a(x \ (x \ (y \ x)),z,u). [para(22931(a,1),268748(a,1,1,2,2,1)),rewrite([284700(6),492025(7),89794(10),491131(11),493392(11),493803(11),89794(14),440390(14),491297(14)])]. 666206 a(x \ (x \ (y \ x)),z,u) = a(L(y,x,x) \ x,z,u). [para(28098(a,1),268748(a,1,1,2,2,1)),rewrite([492025(7),666169(10)])]. 666338 a(x,(y \ (z \ u)) * L(y \ (u / z),w,v5),v6) = a(x,(y \ (z \ u)) * L(y \ (z \ u),w,v5),v6). [para(307366(a,1),68852(a,2,2)),rewrite([309068(8),163753(7),163152(14)])]. 666523 a(x,y,L(z,z,z * u)) = a(x,y,L(z,z,u)). [para(623364(a,1),158417(a,1,3)),rewrite([251008(4),158417(4)]),flip(a)]. 666777 a(x,y,L(z,z,(z \ u) * L(z,w,v5))) = a(x,y,L(z,z,L(z,w,v5) * u)). [para(158354(a,1),666523(a,1,3,3)),rewrite([84993(8)]),flip(a)]. 667266 a(x,L(y \ K(z,u),w,v5) * v6,v7) = a(x,v6 * L(y,w,v5),v7). [para(158018(a,1),13932(a,2,2)),rewrite([60(4),13937(8),14770(6),158144(5)]),flip(a)]. 667673 a(x * (y * L(L(z \ 1,u,w),v5,v6)),v7,v8) = a((L(L(z,v5,v6),u,w) * y) * x,v7,v8). [para(307866(a,1),46819(a,1,1,2,1)),rewrite([149777(7),652497(12)]),flip(a)]. 667697 a(x * L(L(y \ 1,z,u),w,v5),v6,v7) = a(x * L(L(y,z,u),w,v5),v6,v7). [para(307866(a,1),24885(a,2,1,2)),rewrite([70578(7),131115(11),416479(8),60(6),292972(5),304637(5)]),flip(a)]. 667746 L(L(R(x,y,z) \ x,u,w),a(v5,v6,v7),v8) = L(R(x,y,z) \ x,u,w). [para(451734(a,1),307866(a,1,2,1,2)),rewrite([358191(4),323(8),379(5),49(5),358191(7)]),flip(a)]. 667823 L(R(x,y,z) \ x,a(u,w,v5),v6) = R(x,y,z) \ x. [hyper(5519,a,667746,a)]. 667890 (L(R(x,y,z) \ x,u,w) \ (x \ R(x,y,z))) * (R(x,y,z) \ x) = L(R(x,y,z) \ x,u,w) \ 1. [para(667746(a,2),355479(a,1,1,2,2)),rewrite([667746(8),287698(7),358381(8)])]. 668101 L(L(x,x,x),y,z) * L(x \ 1,u,w) = L(x,y,z) * L(1 / x,u,w). [para(70516(a,2),350149(a,1,1,1)),rewrite([337(13),350149(11)])]. 668596 a(x,y,(L(z,u,w) * L(L(z,u,w),v5,v6)) * v7) = a(x,y,L(z * L(1 / z,v5,v6),u,w) * v7). [para(145139(a,1),158303(a,2,3,1)),rewrite([158304(10),158302(8),13654(4),305632(12)])]. 670071 a(x * L(x,y,z),u,w) * L(L(x \ L(x,y,z),u,w) \ 1,v5,x) = L(x,y,z) \ x. [para(304455(a,1),502166(a,2,2,1,2)),rewrite([304101(6),459548(5),58(5),547(4),323(17),379(14),305132(14)])]. 670481 (x / y) * (y * L(y \ L(y,z,u),w,v5)) = x * L(L(y \ L(y,z,u),w,v5),y,x). [para(306527(a,2),61406(a,2,2,1)),rewrite([340(3),340(3),381213(4),63(10),381213(9)])]. 670485 (x \ L(x,y,z)) \ (u \ ((u / x) * L(x,y,z))) = a(x,x * L(x,y,z),u). [para(306527(a,1),63806(a,2,2)),rewrite([305132(7),459571(6),350626(3)]),flip(a)]. 670637 R(x,y,L(z \ L(z,u,w),z,v5) \ v6) = R(x,y,(v5 \ ((v5 / z) * L(z,u,w))) \ v6). [para(306527(a,1),216879(a,2,3,1)),rewrite([292972(3)])]. 670684 a(x,y * L(y,z,u),y) = a(x,y,y * L(y,z,u)). [para(306527(a,1),305132(a,1,1,2)),rewrite([670485(7),508183(5),484058(9)])]. 670723 (x * y) \ (x / (1 / y)) = x \ ((x / y) / (y \ 1)). [para(401861(a,1),306527(a,2,2)),rewrite([26402(2),485217(2),485252(4)])]. 670729 (x * L(y,z,u)) \ (L(y,z,u) * (y \ (x * L(y,w,v5)))) = L(y \ L(y,w,v5),y,x * L(y,z,u)). [para(406968(a,1),306527(a,2,2,1)),rewrite([426711(12)]),flip(a)]. 670871 a(x * y,x,x * L(x,z,u)) = a(y,x,x * L(x,z,u)). [back_rewrite(605747),rewrite([670684(4),670684(7)])]. 670875 ((x / y) * L(y,z,u)) \ (x * (y \ L(y,z,u))) = a(x,y,y * L(y,z,u)). [back_rewrite(605722),rewrite([670684(10)])]. 670884 L(x \ L(x,y,y * L(y,z,u)),x,L(y,z,u)) = a(x,y,y * L(y,z,u)). [back_rewrite(389575),rewrite([670684(9)])]. 670896 (x / (1 / y)) / (x * y) = x \ ((x / y) / (y \ 1)). [back_rewrite(329461),rewrite([670723(10)])]. 670917 (x * L(x \ L(x,y,z),u,w)) \ 1 = x \ (L(x \ L(x,y,z),u,w) \ 1). [hyper(7088,a,98289,a(flip),b,670481,a),rewrite([380545(11),51(9),6174(8),412(7),293077(18),26414(24),422231(22),422289(22),51(19)]),flip(a)]. 670989 (1 / L(x,y,z)) \ a(x * L(x,y,z),u,w) = x * L(x \ L(x,y,z),u,w). [hyper(5083,a,149318,a(flip),b,670481,a),rewrite([293004(4),305132(4),407317(3),323(1),293004(12),305132(12),165303(11),382788(11),304101(9),459548(8),58(8),547(7)])]. 671267 (x * L(x \ L(x,y,z),u,w)) * (x \ v5) = v5 * L(L(x \ L(x,y,z),x,v5),u,w). [para(308035(a,1),24422(a,1,2,1)),rewrite([51(2),384131(12),410(13)]),flip(a)]. 671291 L(x \ L(x,y,z),x,L(x,u,w) * (x \ v5)) = L(x \ L(x,y,z),x,L(x,u,w) * v5). [para(159354(a,1),308035(a,1,3)),rewrite([64035(4),85372(8),26536(7),64035(10),26536(12)])]. 671292 L(x \ L(x,y,z),x,(x \ u) * L(x,w,v5)) = L(x \ L(x,y,z),x,L(x,w,v5) * u). [para(158527(a,1),308035(a,1,3)),rewrite([84993(6)])]. 671321 L(x \ L(x,y,z),x,L(u,u,x)) = L(x \ L(x,y,z),x,u \ x). [para(402396(a,2),308035(a,1,3)),rewrite([83639(6),83591(6),26402(8)])]. 671339 a(x \ y,x,L(x * L(x,z,u),x,y)) = a(y,x,L(x * L(x,z,u),x,y)). [para(308035(a,1),607718(a,1,3)),rewrite([626198(5),304426(11),304447(11),609193(12)])]. 671678 a(L(x \ y,x \ y,y),z,u) = a(y \ x,z,u). [para(496002(a,2),12554(a,2,1)),rewrite([12554(6),96321(6),96369(6),96575(6),439538(4)]),flip(a)]. 672017 R(x,y,L(z \ u,z \ u,u)) = R(x,y,u \ z). [para(496002(a,1),206639(a,2,3)),rewrite([206639(6),239766(10),531662(10),440006(8)])]. 672057 R(x,x,x * ((1 / (x \ y)) \ x)) = R(x,x,y \ x). [para(496002(a,2),270259(a,1,3)),rewrite([672017(4),216904(8)]),flip(a)]. 672220 a(x * (y * (z \ ((1 / (z \ x)) \ z))),u,a(w,v5,v6)) = a(x * (z * (x \ y)),u,a(w,v5,v6)). [para(496002(a,1),396351(a,1,1,2,2)),rewrite([239472(9),396183(14)])]. 672222 L((1 / x) \ a(y,z,u),x * a(y,z,u),a(y,z,u)) = (x \ 1) \ (x / ((x \ a(y,z,u)) \ 1)). [para(403185(a,2),496002(a,1,1)),rewrite([403185(4),441836(10),77774(10),77943(10),413503(18),420287(16),331090(20),628418(19)])]. 672264 a((x \ a(y,z,u)) * w,v5,v6) = a(a(y,z,u) * (x * w),v5,v6). [para(496002(a,1),394213(a,1,1,2)),rewrite([413503(4),239471(8),615007(8),363886(6),629052(3),50(4),398888(4)]),flip(a)]. 672360 ((x \ y) * (x \ (x / (1 / (x \ y))))) \ ((x \ y) * (x \ y)) = (y \ x) \ (1 / (x \ y)). [para(496002(a,1),593601(a,2,1,2)),rewrite([603817(5),441763(5)]),flip(a)]. 672361 L((x * L(y,x,z)) \ (x * y),a(z,x,L(y,x,z)),x * y) = (x * L(y,x,z)) \ (x * y). [para(593601(a,2),496002(a,1,2)),rewrite([313820(18),607883(18),305007(17),304830(17)])]. 672498 L(R(x,y,y) * (x \ z),x,a(x,y,y)) = z * a(x,y,y). [hyper(7088,a,261964,a,b,593521,a(flip)),rewrite([124219(5),395103(5),561(5),124219(5),395103(5),62852(7),386756(10),477484(9),49(9)]),flip(a)]. 672512 a(x,y,a(x,z,z)) = 1. [hyper(7049,a,593521,a(flip),b,261964,a),rewrite([62852(3),672498(5),124219(7),395103(7),7735(7),394583(6),400701(9),421396(8)])]. 676108 L(R(x,y,z) \ u,R(x,y,z),x * R(x,y,z)) = x \ ((R(x,y,z) \ x) * u). [para(287722(a,1),60488(a,2,2,1)),rewrite([358232(6)])]. 676324 (L(x,a(y,z,u),w) \ v5) * a(x,a(y,z,u),w) = x \ v5. [para(386956(a,1),60488(a,1,3)),rewrite([5535(4),188068(6),386956(6),168504(7)]),flip(a)]. 677533 a(x * (L(y,a(z,u,w),v5) \ v6),v7,v8) = a(x * (y \ v6),v7,v8). [para(676324(a,1),46992(a,2,1,2)),rewrite([182822(8),12592(5)])]. 677552 a(x,y,z) * ((u \ w) * a(u * a(x,y,z),a(x,y,z),u * w)) = (a(x,y,z) \ u) \ w. [para(77147(a,1),676324(a,1,1)),rewrite([385657(6),394727(4),399012(8),396643(8),7734(9)])]. 679314 L((1 / x) \ a(y,z,u),a(y,z,u) * x,a(y,z,u) * x) = (x \ 1) \ a(y,z,u). [para(403185(a,2),346004(a,1,1)),rewrite([403185(4),163725(13),403636(13),83407(11),239497(11),455829(11),394477(9),413633(17),420287(13)])]. 679354 L(x \ (x / T(y,z)),y,y) = (x * T(y,z)) \ x. [para(516127(a,2),346004(a,1,1)),rewrite([516127(4),340(6),340(7),25262(6),26536(5),493182(11)])]. 680412 L(x,(y * z) * u,x) = L(x,y * (z * u),x). [hyper(5081,a,460495,a,b,26534,a),rewrite([474698(3),460495(4)]),flip(a)]. 680525 L(x,((y \ K(z,u)) * w) * v5,v6) = L(x,(w * y) * v5,v6). [para(31945(a,1),26534(a,1,2,1)),rewrite([7724(10),7724(11),26562(12),73664(10)])]. 680884 L(x,(R(y,z,u) \ y) * w,v5) = L(x,(y * R(y,z,u)) * w,v5). [para(635075(a,2),26534(a,1,2,1)),rewrite([635075(4),648105(5),26517(6),680525(10)])]. 680913 L(x,y * (z * (y \ z)),x) = x. [back_rewrite(465355),rewrite([680412(4)])]. 681036 L(x,(y \ z) * u,x) = L(x,z * (y * u),x). [hyper(5081,a,460495,a,b,27287,a),rewrite([474680(3),460495(4),27287(6)]),flip(a)]. 681126 L(x,((y * z) \ ((y * u) * z)) * w,v5) = L(x,R(u,y,z) * w,v5). [para(1153(a,2),27287(a,1,2,1)),rewrite([208456(4),26517(5)]),flip(a)]. 681135 L(x,L(y / z,u,w) * v5,v6) = L(x,L(z \ y,u,w) * v5,v6). [para(158354(a,1),27287(a,1,2)),rewrite([652983(10),158354(11)])]. 681351 L(x,(y \ R(y,z,u)) * w,v5) = L(x,(y * R(y,z,u)) * w,v5). [para(358097(a,1),25716(a,1,2,1)),rewrite([680884(8)])]. 681366 L(x,y * (L(T(z,y \ 1),u,w) \ z),v5) = L(x,y * (z \ L(z,u,w)),v5). [para(459818(a,2),25716(a,1,2)),rewrite([26536(7),77943(6),309093(4)]),flip(a)]. 681367 L(x,y * (z \ L(z,u,w)),v5) = L(x,y * (z * L(z,u,w)),v5). [para(461202(a,2),25716(a,1,2)),rewrite([26536(7),309093(6),463183(6),25716(6),681366(11)]),flip(a)]. 681370 L(x,(y \ (y / z)) \ z,u) = L(x,z * (y \ (y / z)),u). [para(493504(a,1),25716(a,2,2)),rewrite([492725(5)])]. 681385 L(x,L(L(L(y,y,y),z,u),w,v5),v6) = L(x,L(L(y \ 1,z,u),w,v5),v6). [para(307866(a,1),25716(a,2,2)),rewrite([629422(10),25716(10),158172(8),350920(5),82889(5)])]. 681418 L(x,y * (L(z,u,w) \ z),v5) = L(x,y * (z * L(z,u,w)),v5). [back_rewrite(309093),rewrite([681367(8)])]. 681530 L(x,L(L(y \ 1,z,u),w,v5),v6) = L(x,L(L(y,z,u),w,v5),v6). [para(304637(a,1),28150(a,2,2)),rewrite([629422(8),28150(8),350920(5),82889(5),681385(4)])]. 681608 x * (y * a(x,a(z,u,w),v5)) = L(x,a(z,u,w),v5) * y. [para(454556(a,1),349543(a,1,1,2)),rewrite([386956(3),650113(4),454556(6),386956(6)]),flip(a)]. 681757 L(x,L(y \ (z * (u \ 1)),y,z * u),w) = L(x,(z * u) * y,w). [para(72702(a,2),28126(a,2,2)),rewrite([73507(8),72702(11),73664(12)])]. 681864 L(x,L(y,z,u) * L(R(y,w,v5),z,u),v6) = L(x,L(y \ R(y,w,v5),z,u),v6). [para(272623(a,1),28126(a,1,2,1)),rewrite([209955(7),345331(7),11355(8)]),flip(a)]. 681986 L(x,L(((y \ z) \ 1) \ y,y \ (z * (y \ z)),z),u) = L(x,z * (y \ (z * (y \ z))),u). [para(628401(a,1),28126(a,1,2,1)),rewrite([605551(8),78931(9),597033(14)])]. 682368 L(x,y \ z,z * y) = L(x,z * y,y \ z). [hyper(295,a,28126,a(flip),b,150510,a),rewrite([31193(7)]),flip(a)]. 682376 L(x,y \ (z \ y),z) = L(x,z,y \ (z \ y)). [para(25395(a,1),150510(a,1,2)),rewrite([27381(6),52520(4),491131(3),25395(8),83585(9),438762(8),28115(8)])]. 682384 L(x,y \ z,y * z) = L(x,y * z,y \ z). [para(60809(a,1),150510(a,1,2)),rewrite([83147(5),60809(10),68875(8)]),flip(a)]. 682399 (x \ ((1 / x) \ a(y,z,u))) * w = L(a(y,z,u) \ 1,x,x) \ w. [para(150510(a,1),420475(a,1,1,1)),rewrite([454873(5),444081(6),150510(11),454873(11)])]. 682465 ((x * y) \ x) * (y * z) = y * ((x \ (x / y)) * z). [back_rewrite(495452),rewrite([682376(3),495451(7)])]. 682510 a(x \ (y \ x),y,z) = a(y,x \ (y \ x),z). [back_rewrite(495461),rewrite([682465(8),7337(9),97123(3)]),flip(a)]. 682569 L(x,a(y,z,u),(w \ v5) * v6) = L(x,a(y,z,u),v5 * (w * v6)). [para(11892(a,1),635974(a,1,3)),rewrite([635963(4),635963(8)]),flip(a)]. 682570 (L(x,y,z) * a(u,w,v5)) * L(v6,a(u,w,v5),x) = L(x,y,z) * (a(u,w,v5) * v6). [para(635974(a,1),380(a,1,2))]. 682578 L(x,a(y,z,u),(w * v5) * v6) = L(x,a(y,z,u),v5 * (w \ v6)). [para(60487(a,1),635974(a,1,3)),rewrite([635963(4),635963(8)])]. 682767 L(x,a(y,z,u),w * a(v5,v6,w)) = L(x,a(y,z,u),w). [para(388615(a,1),635963(a,1,3)),rewrite([635974(3),682578(10),54(8)]),flip(a)]. 682786 L(x,a(y,z,u),a(w,v5,v6) * v6) = L(x,a(y,z,u),v6). [para(594514(a,2),635963(a,2,3)),rewrite([83407(4),594514(11),682767(8)])]. 682790 L(x,a(y,z,u),w * a(v5,w,v6)) = L(x,a(y,z,u),v6 * ((v5 * w) \ (v5 * v6))). [para(632593(a,1),635963(a,1,3)),rewrite([215516(10),83724(11),682569(10),682578(10)])]. 682823 ((x \ y) * (y \ x)) \ a((x \ y) * (y \ x),z,u) = L((y \ x) \ ((x \ y) \ 1),z,u). [hyper(7088,a,150256,a,b,345829,a(flip)),rewrite([374647(4),323(1),15(2),345924(5),307734(5),408316(10),323(7),408(8),681036(19),680913(19),296959(16),459763(17)]),flip(a)]. 682951 L(T(x,y),x,x) \ L(T(T(x,y),z),u,w) = x * L(K(x,T(z,y)) / x,u,w). [hyper(5081,a,7753,a,b,150256,a),rewrite([1039(3),26458(7),43061(6),75781(5),25262(9),26536(8)]),flip(a)]. 682974 T(T(x,y),x \ K(z,x)) = T(T(x,y),x \ 1). [hyper(7088,a,11208,a,b,150256,a(flip)),rewrite([1039(3),6174(7),3334(6),123660(6),448437(5),647851(5),1039(6),25262(13),26536(12),11208(16),682951(15),250959(15),3334(9),123563(9),256734(9),168(6)])]. 683021 K(x,y) * a(x,x,x) = x * (K(x,y) / x). [para(5531(a,1),150256(a,1,2)),rewrite([464110(3),5531(8)])]. 683197 a(x,(y * L(K(y,z) / y,u,w)) * v5,v6) = a(x,v5 * (y * L(y,u,w)),v6). [para(150256(a,1),168622(a,2,2,1)),rewrite([475335(3),128570(3),106807(7),341011(5),490251(5)]),flip(a)]. 683706 (x * (1 / y)) \ x = x \ (x / (y \ 1)). [hyper(295,a,31798,a(flip),b,403019,a)]. 683727 L(x,x,y) \ z = (y \ (y / (x \ 1))) \ z. [hyper(293,a,403019,a)]. 684184 (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). [para(403019(a,2),8764(a,1,2,1)),rewrite([60(2),403475(3),129659(12),374267(12),324(9),49(9)]),flip(a)]. 684367 L(x,x,y) \ L(y \ (y / (x \ 1)),z,u) = y \ (L(x,z,u) * (x \ y)). [para(403019(a,2),304101(a,1,1)),rewrite([340(14),159326(14)])]. 684368 (x \ (x / (y \ 1))) \ L(L(y,y,x),z,u) = x \ (L(y,z,u) * (y \ x)). [para(403019(a,2),304101(a,1,2,1)),rewrite([340(14),159326(14)])]. 684671 L(x,x,L(y,z,u)) * L(y,z,u) = (y \ (L(y,z,u) / (x \ 1))) * y. [para(403019(a,2),379249(a,1,1))]. 684822 a(x,y,z) * (u * L(u,u,a(x,y,z))) = (u \ 1) \ ((1 / u) \ a(x,y,z)). [para(403019(a,2),629052(a,2,2)),rewrite([403185(4),426053(6),340(4),403185(6),403185(11),444125(14),13654(11)]),flip(a)]. 685079 ((x \ 1) \ ((1 / x) \ a(y,z,u))) / L(x,x,a(y,z,u)) = (1 / x) \ a(y,z,u). [back_rewrite(444295),rewrite([684822(5)])]. 685296 x * ((y * (L(z,u,w) * (z \ x))) / x) = (L(z,u,w) * (z \ x)) * y. [para(684367(a,2),409886(a,1,2,2,2,2)),rewrite([684367(10),446104(9),446621(9),435862(9),188302(6),424218(8),801(5),38076(6),7726(5),95539(4),463550(4),410(5)]),flip(a)]. 685371 (L(x,y,z) * (x \ u)) * u = u * (L(x,y,z) * (x \ u)). [back_rewrite(465478),rewrite([685296(6)])]. 687323 L(L(x,x,y) \ z,y \ (x \ y),y \ (x \ y)) = ((y \ (y / (1 / x))) \ 1) * z. [para(683727(a,2),60426(a,1,1)),rewrite([163725(11),269691(11),239497(9),492543(9),492455(13),495354(11)])]. 687440 a(x,L(y * L(y,z,u),y,w),v5) = a(x,w \ (L(y,z,u) * (y \ w)),v5). [para(683727(a,1),64099(a,1,2)),rewrite([684368(7),626266(10)]),flip(a)]. 687441 a(x,(y \ ((z \ 1) \ y)) * L(y \ ((z \ 1) \ y),u,w),v5) = a(x,y \ (L(z,u,w) * (z \ y)),v5). [para(683727(a,2),64099(a,1,2)),rewrite([684367(7),163753(16),666338(16)]),flip(a)]. 688145 (x * (L(y,z,u) * (y \ w))) / w = w \ ((L(y,z,u) * (y \ w)) * x). [hyper(5306,a,685296,a),flip(a)]. 688284 x \ (L(y,z,u) * ((y \ x) * T((y \ x) \ (L(y,z,u) \ w),v5))) = T(x \ w,v5). [hyper(5083,a,8764,a(flip),b,685296,a),rewrite([6385(5),378476(5),374267(4),374647(4),41109(4),149(4),688145(12),255(11)]),flip(a)]. 688329 (x \ y) * T((x \ y) \ (L(x,z,u) \ w),v5) = L(x,z,u) \ (y * T(y \ w,v5)). [hyper(5083,a,685296,a,b,255,a(flip)),rewrite([688145(11),255(10),688284(11)]),flip(a)]. 688671 (L(x,y,z) * (x \ u)) * (1 / x) = u * L(1 / x,y,z). [para(135559(a,1),685296(a,1,2,1)),rewrite([150508(6),52(5)]),flip(a)]. 691547 (x \ (x / (y \ 1))) * x = x / (T(y,x) \ 1). [para(683706(a,2),2412(a,1,2,1)),rewrite([683706(7),129659(8),374267(8),324(5),49(5),684184(5)]),flip(a)]. 691688 a(x,y,z \ ((u \ 1) \ z)) = a(x,y,z \ (u \ z)). [para(683706(a,1),403612(a,1,3)),rewrite([606567(8),340(4),239473(5),253329(12),277818(12),491807(10)])]. 691698 (x \ (L(x,y,z) / (u \ 1))) * x = L(x,y,z) / (T(u,x) \ 1). [para(683706(a,2),379249(a,1,1)),rewrite([683706(6),691547(8),6174(3)]),flip(a)]. 692169 L(x,x,L(y,z,u)) * L(y,z,u) = L(y,z,u) / (T(x,y) \ 1). [back_rewrite(684671),rewrite([691698(10)])]. 692359 ((x * y) \ x) * (L(y,y,x) \ y) = y \ 1. [hyper(5457,a,165862,a(flip))]. 692431 (x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ (x \ 1). [para(165862(a,2),2244(a,1,2,2)),rewrite([408211(7),323(5),408(6)])]. 692571 ((x \ (x / (1 / y))) \ 1) * y = ((x \ (x / y)) \ 1) * (y \ 1). [para(165862(a,2),60426(a,1,1)),rewrite([438762(7),491131(7),687323(7),438949(11)])]. 692657 x * (1 / L(x,x,L(y,y,x))) = L(x,x,y \ x) \ x. [para(95525(a,2),165862(a,2,1,1)),rewrite([28083(6),354781(7),269343(7),95525(7),495354(9),288490(9),354536(10),277541(10)]),flip(a)]. 692833 T(((x * y) \ x) \ (y \ 1),y \ 1) = ((x \ (x / y)) \ 1) * (y \ 1). [para(165862(a,2),248766(a,2,1)),rewrite([516003(7),692431(5),12024(8),323(6),491475(15),438774(15),382630(15),687323(15),692571(15)])]. 692835 R((L(x,x,y) \ x) \ z,((y * x) \ y) \ x,x * L(x,x,y)) = z * (x \ L(x,x,y)). [para(165862(a,1),248865(a,1,2)),rewrite([217133(11),501816(11),304759(13),408211(15),323(13),408(14)])]. 692859 (L(x,x,y) \ x) \ R(((y * x) \ y) \ (x \ 1),z,u) = a(x * L(x,x,y),z,u). [para(165862(a,1),272488(a,1,2,1)),rewrite([381213(13),162681(15),459665(14),51(14)])]. 692861 ((x * y) \ x) \ ((y \ 1) * L(y * ((x * y) \ x),z,u)) = a(y * L(y,y,x),z,u). [para(165862(a,2),272488(a,1,1)),rewrite([692859(9),345745(12),444850(11)]),flip(a)]. 692868 a(L(x * L(x,R(x,y,z),u),y,z),w,v5) = a(R(x,y,z) * (u \ (R(x,y,z) \ u)),w,v5). [para(165862(a,1),281373(a,2,1)),rewrite([281373(8),306585(5),46610(7),307431(5),96371(13),491244(11),495513(11)])]. 692942 ((x * y) \ x) \ (y \ 1) = (x \ (x / y)) \ (1 / y). [para(165862(a,2),345769(a,1,1,2)),rewrite([345745(5),346016(6),323(3),324(7),345745(10),438793(10)])]. 692952 L(x * ((y * x) \ y),x * (y \ (y / x)),z) = z / (((y \ (y / x)) \ (1 / x)) * z). [para(165862(a,2),347968(a,1,1,2,2)),rewrite([345745(5),346016(6),323(3),49(2),692942(5),345745(12),692942(15),216240(16),501816(16),444850(14),681370(14)]),flip(a)]. 692982 ((x \ (x / y)) \ (1 / y)) \ ((y * ((x * y) \ x)) \ (L(y,y,x) \ y)) = (x \ (x / y)) \ (1 / y). [para(165862(a,2),357450(a,1,2,2)),rewrite([692942(5),345745(10),345745(18),347387(17),438793(17)])]. 692998 ((x \ (x / y)) \ (1 / y)) \ ((L(y,y,x) \ y) * z) = z. [para(165862(a,1),60881(a,1,1)),rewrite([692942(5),91483(7),378054(13),323(11),319(12),48(11)])]. 693331 ((x \ (x / y)) \ 1) * (y \ 1) = (x \ (x / y)) \ (1 / y). [back_rewrite(692833),rewrite([692942(5),438400(8)]),flip(a)]. 693551 ((x \ (x / (1 / y))) \ 1) * y = (x \ (x / y)) \ (1 / y). [back_rewrite(692571),rewrite([693331(14)])]. 694006 R(x,y,z * ((u * z) \ u)) = R(x,y,z * (u \ (u / z))). [para(692359(a,1),217262(a,1,3,2)),rewrite([440605(5),217015(6),438762(11),491131(11),687323(11),693551(11),239766(10),403795(10),495746(8)])]. 694190 R(x,y,z * L(z,z,u)) = R(x,y,z * (u \ (u / z))). [back_rewrite(608776),rewrite([694006(7)])]. 694245 L(x,y * (L(T(z,u),w,v5) \ v6),v7) = L(x,y * (L(z,w,v5) \ v6),v7). [para(60(a,1),224666(a,1,2,2,1))]. 694248 L(x,y * ((z / u) \ w),v5) = L(x,y * ((u \ z) \ w),v5). [para(412(a,1),224666(a,1,2,2,1)),flip(a)]. 694274 L(x,y * ((z \ K(u,w)) \ v5),v6) = L(x,y * (z \ v5),v6). [para(69015(a,1),224666(a,1,2,2,1)),rewrite([68878(7),12023(8),26517(10)])]. 694297 L(x,y * (z \ ((u * u) \ w)),v5) = L(x,y * (z \ w),v5). [para(222527(a,1),224666(a,1,2,2)),rewrite([25862(10)])]. 694814 (x * (y * z)) * L(u,z * y,x) = x * ((y * z) * u). [para(27307(a,1),380(a,1,2))]. 694866 L(x,L(y \ (y \ z),u,w) * y,v5) = L(x,y \ L(z,u,w),v5). [para(28563(a,1),27307(a,1,2)),flip(a)]. 694871 L(x,y * L(z \ 1,u,w),v5) = L(x,L(z,u,w) * y,v5). [para(157346(a,2),27307(a,1,2)),rewrite([157346(4),158172(5)]),flip(a)]. 694885 L(x,(y \ (z \ u)) * z,w) = L(x,z * (y \ (u / z)),w). [para(168799(a,2),27307(a,1,2)),rewrite([168799(4),98037(4)])]. 694916 L(x,R(y \ (y \ z),u,w) * y,v5) = L(x,y \ R(z,u,w),v5). [para(280576(a,1),27307(a,1,2)),flip(a)]. 694964 L(x,(y * L(y,z,u)) * (w * y),v5) = L(x,y * (w * (y \ L(y,z,u))),v5). [para(349543(a,2),27307(a,1,2)),rewrite([349543(4),384121(9),304852(10)]),flip(a)]. 695354 (x * ((y * z) * u)) / L(u,z * y,x) = x * (y * z). [hyper(5358,a,694814,a)]. 695512 L(x,y * z,a(x,z,y)) = x. [hyper(5083,a,101962,a(flip),b,694814,a),rewrite([596323(7)]),flip(a)]. 696417 a(x,y,x * y) / (x * y) = T(y \ (x \ 1),x * y). [back_rewrite(661631),rewrite([695512(3),346316(5)]),flip(a)]. 697152 L(x,L(T(y,z) \ u,w,v5) \ (y \ u),v6) = L(x,(y \ u) * L(y \ u,w,v5),v6). [hyper(295,a,165220,a(flip),b,239869,a),rewrite([47630(7),305931(6)]),flip(a)]. 697181 L(x,y \ (L(T(z,u),w,v5) \ v6),v7) = L(x,y \ (L(z,w,v5) \ v6),v7). [para(60(a,1),239869(a,1,2,2,1))]. 697185 L(x,y \ (((z \ u) \ u) \ w),v5) = L(x,y \ (z \ w),v5). [para(411(a,1),239869(a,1,2,2,1))]. 697206 L(x,y \ ((z \ 1) \ u),w) = L(x,y \ (z \ u),w). [para(80800(a,1),239869(a,2,2,2)),rewrite([60(2),697181(5),240162(4),697185(12)])]. 697332 L(x,((y \ z) \ y) \ z,u) = L(x,z \ ((y \ z) \ y),u). [back_rewrite(642541),rewrite([697206(6)]),flip(a)]. 697386 L(x,y * L(y,z,u),w) * (w * (y \ L(y,z,u))) = ((y \ L(y,z,u)) * x) * w. [para(82976(a,1),11786(a,2,1)),rewrite([416403(6),323(3),49(4),458608(4),410(5)]),flip(a)]. 697463 L(x,y \ (a(z,u,w) * v5),v6) = L(x,(y \ v5) * a(z,u,w),v6). [para(15051(a,1),96853(a,1,2,2)),rewrite([96853(5),597024(4)]),flip(a)]. 697510 L(x,(a(y,z,u) \ w) \ v5,v6) = L(x,(w \ v5) * a(y,z,u),v6). [back_rewrite(394475),rewrite([697463(8)])]. 697595 L(x,y,(z \ L(z,u,w)) * v5) = L(x,y,(z * L(z,u,w)) * v5). [para(304426(a,1),26244(a,1,3,1)),rewrite([323(2),49(3)])]. 697634 L(x,y,R(z,u,u) * w) = L(x,y,L(z,u,u) * w). [para(565641(a,2),26244(a,1,3,1)),rewrite([6775(2,R),278187(4),278954(6),219012(7)]),flip(a)]. 697726 L(x,y,(L(z,u,w) \ z) * v5) = L(x,y,(z * L(z,u,w)) * v5). [back_rewrite(306115),rewrite([697595(8)])]. 697932 L(x,y,(L(T(z,u),w,v5) \ v6) \ v7) = L(x,y,(L(z,w,v5) \ v6) \ v7). [para(60(a,1),42524(a,1,3,1,1))]. 698075 L(x,y,(z \ L(z,u,w)) \ ((z * v5) * (L(T(z,v6),u,w) \ 1))) = L(x,y,L(v5,z,L(z,u,w))). [back_rewrite(209304),rewrite([697932(11),306116(10)])]. 698308 L(x,y,(z \ R(z,u,w)) * v5) = L(x,y,(z * R(z,u,w)) * v5). [para(11009(a,1),85750(a,2,3,1)),rewrite([273483(4),273482(5),83105(6)])]. 698356 L(x,y,(L(z,u,w) * L(L(z,u,w),v5,v6)) * v7) = L(x,y,L(z \ L(z,v5,v6),u,w) * v7). [para(162924(a,2),85750(a,1,3,1)),rewrite([26653(5),95634(6),306603(4),31850(7),83128(7)]),flip(a)]. 698389 L(x,y,(z \ (u \ K(w,v5))) * v6) = L(x,y,(z \ u) * v6). [para(268782(a,1),85750(a,1,3,1)),rewrite([206218(10),268782(9)])]. 698590 L(x,y,a(z,z \ u,z \ u)) = L(x,y,z \ (u * (z \ u))). [para(594859(a,1),12144(a,1,3)),flip(a)]. 698665 L(x,y,R(z / u,w,v5) * v6) = L(x,y,R(u \ z,w,v5) * v6). [para(62761(a,1),84993(a,2,3)),rewrite([363730(7)])]. 698671 L(x,y,((z * u) \ ((z * w) * u)) * v5) = L(x,y,R(w,z,u) * v5). [para(1153(a,2),84993(a,1,3,1)),rewrite([208456(4),83105(5)]),flip(a)]. 698676 L(x,y,L(z / u,w,v5) * v6) = L(x,y,L(u \ z,w,v5) * v6). [para(158354(a,1),84993(a,1,3)),rewrite([652983(10),158354(11)])]. 698846 L(x,y,R(z \ 1,u,w) * v5) = L(x,y,R(z,u,w) * v5). [para(62761(a,1),83128(a,1,3)),rewrite([214034(5),213991(12),275510(12),62761(9)])]. 698891 L(x,y,L(L(z,u,w),a(v5,v6,v7),v8)) = L(x,y,L(z,u,w)). [para(636465(a,1),83128(a,2,3)),rewrite([83659(7),27381(4),209136(2),209955(6)]),flip(a)]. 698893 L(x,y,L(z,a(u,w,v5),v6)) = L(x,y,z). [para(676324(a,1),83128(a,1,3)),rewrite([27381(3),195716(6),396646(4),698891(6)]),flip(a)]. 698998 L(x,y,(z \ (u / w)) * v5) = L(x,y,(z \ (w \ u)) * v5). [para(412(a,1),97945(a,1,3,1,2)),flip(a)]. 699047 L(x,y,(z \ (u \ 1)) * w) = L(x,y,(z \ u) * w). [para(32296(a,1),97945(a,1,3,1,2)),rewrite([698389(6)]),flip(a)]. 699106 L(x \ R(x,y,z \ (u \ w)),x,(z \ ((v5 \ 1) * (v5 \ (u \ w)))) * y) = a(x,y,z \ (u \ w)). [back_rewrite(266610),rewrite([698998(12),252337(9)])]. 699110 L(x \ R(x,y,z \ ((u \ 1) \ w)),x,(z \ (L(u,u,u) \ w)) * y) = a(x,y,z \ ((u \ 1) \ w)). [back_rewrite(266555),rewrite([698998(11)])]. 699295 L(R(x,y,z),u,L(x,w,v5)) = L(R(x,y,z),u,x). [para(381372(a,1),63(a,1,1)),rewrite([63(2)]),flip(a)]. 699296 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(381372(a,1),64(a,1,1)),flip(a)]. 699321 L(L(L(x,y,z),u,w),v5,L(x,v6,v7)) = L(L(L(x,v5,x),y,z),u,w). [para(381372(a,1),417(a,2,1,1))]. 699325 L(x \ 1,y,z \ (x \ z)) = L(x \ 1,y,x). [para(12004(a,1),381372(a,1,3)),rewrite([438762(5),26414(10)])]. 699439 L(L(x \ 1,y,z),u,L(x,w,v5)) = L(L(x \ 1,u,x),y,z). [para(381372(a,1),307866(a,1,2,1,2)),rewrite([308063(6),397148(7),509574(5),400645(4),476886(4),278909(3)]),flip(a)]. 699625 L(L(R(x,y,z),u,w),v5,L(x,v6,v7)) = L(L(R(x,y,z),v5,x),u,w). [para(699296(a,1),63(a,1,1)),rewrite([63(3),63(2),63(5)]),flip(a)]. 699702 L(L(x \ R(x,y,z),u,w),v5,L(x,v6,v7)) = L(x \ R(x,y,z),u,w). [para(699296(a,1),272623(a,1,1)),rewrite([63(4),699625(6),273144(6),273251(3),63(6),272623(7)]),flip(a)]. 699705 L(L(x \ L(x,y,z),u,w),v5,L(x,v6,v7)) = L(x \ L(x,y,z),u,w). [para(699296(a,1),305594(a,1,1)),rewrite([699321(6),305327(6),305327(4),304455(3),305327(7)]),flip(a)]. 699738 a(L(x,y,z),u,L(x,w,v5)) = a(x,u,x). [para(699296(a,1),593601(a,1,3)),rewrite([466233(4),699296(6),653241(9)])]. 699745 L(L(L(x \ 1,y,z),u,w),v5,L(x,y,z)) = L(L(L(x \ 1,v5,x),y,z),u,w). [para(637046(a,1),699296(a,1,3)),rewrite([83591(8),83591(13),699439(11)])]. 699775 L(x \ L(x,y,z),x,u * L(x,y,z)) = L(x \ L(x,y,z),x,u). [back_rewrite(658061),rewrite([699705(5)]),flip(a)]. 699842 L(x,y,L(L(z,u,w) \ z,v5,v6) * v7) = L(x,y,L(z \ L(z,u,w),v5,v6) * v7). [para(91470(a,2),158259(a,1,3,1,1)),rewrite([91470(4),304759(4)]),flip(a)]. 699843 L(x,y,L(L(z \ 1,u,w),v5,v6) * v7) = L(x,y,L(L(z,u,w),v5,v6) * v7). [para(158113(a,1),158259(a,1,3)),rewrite([457786(16),158113(13)])]. 699860 L(x,y,L(R(z,u,w) \ z,v5,v6) * v7) = L(x,y,L(z \ R(z,u,w),v5,v6) * v7). [para(272623(a,2),158259(a,2,3,1)),rewrite([358191(4),272623(9)])]. 699888 L(x,y,((z * u) \ ((u * w) * z)) * v5) = L(x,y,L(w,u,z) * v5). [para(565641(a,1),158259(a,2,3,1)),rewrite([12023(5),328969(5),158261(6)]),flip(a)]. 701507 L(x,y,z * ((u * w) * u)) = L(x,y,z * L(w,u,u)). [para(22931(a,1),145169(a,1,3,2,1)),rewrite([85753(6),85484(6)])]. 701603 L(x,y,L(z \ L(z,u,w),v5,v6) * v7) = L(x,y,v7 * L(L(z,u,w) \ z,v5,v6)). [para(427806(a,1),145169(a,1,3)),rewrite([73507(9),218991(7),83104(12),699842(10)]),flip(a)]. 701609 x * L(a(y,z,u),w,v5 * v6) = x * L(a(y,z,u),w,v6 * v5). [para(145169(a,1),398604(a,2,2)),rewrite([136315(5),398604(6)])]. 701799 L(x,y,z * L(u * L(u,w,v5),u,z)) = L(x,y,L(u,w,v5) * (u \ z)). [para(403531(a,2),165309(a,2,3)),rewrite([306590(4),73507(7),406028(4),403531(12),629604(10)]),flip(a)]. 701900 L(x,y,z * (u * (w * (v5 \ a(a(v6,v7,v8),v9,v10))))) = L(x,y,z * (u * (w * (v5 \ 1)))). [para(72702(a,2),85459(a,1,3,2,2)),rewrite([113605(5),315197(6),51(5)])]. 702084 L(x,y,L(z * (u \ K(w,v5)),v6,v7)) = L(x,y,L(z * u,v6,v7)). [para(355479(a,1),85799(a,1,3)),rewrite([26414(7),698998(18),699047(18),144410(13),377886(11),323(8),48(8)])]. 702150 L(x,y,L(z \ R(z,u,w),v5,v6)) = L(x,y,L(z * R(z,u,w),v5,v6)). [back_rewrite(648957),rewrite([702084(6)]),flip(a)]. 702169 L(x,y,L(R(z,u,w) \ z,v5,v6)) = L(x,y,L(z * R(z,u,w),v5,v6)). [back_rewrite(358285),rewrite([702150(8)])]. 702565 a(x \ (y * (z \ (u / w))),v5,v6) = a(x \ (y * (z \ (w \ u))),v5,v6). [para(101298(a,1),403505(a,1,1,1)),rewrite([239472(9),403505(9)]),flip(a)]. 702710 a(x \ (y * (z \ a(a(u,w,v5),v6,v7))),v8,v9) = a(x \ (z * y),v8,v9). [para(85921(a,1),403505(a,1,1,1)),rewrite([419040(8),403431(4),12554(5),68848(5)]),flip(a)]. 703078 L(x * K(y * x,z * u),y,u * z) = ((z * u) * y) \ ((y * x) * (z * u)). [hyper(5081,a,565641,a(flip),b,25271,a),flip(a)]. 704723 a(L(x,x,a(y,z,u) * w) * (w \ a(y,z,u)),v5,v6) = a(x \ (w \ a(y,z,u)),v5,v6). [para(612199(a,1),403505(a,1,1,1))]. 704922 (x \ L(x,y,z)) * L(x \ L(x,u,w),v5,v6) = L(x,y,z) * (x \ L(x \ L(x,u,w),v5,v6)). [hyper(5081,a,626171,a,b,150405,a),rewrite([69933(4),335465(13)])]. 704925 L(1 / x,y,z) * (x \ L(x,y,z)) = L(x,y,z) * (x \ L(1 / x,y,z)). [hyper(5081,a,210819,a,b,150405,a),rewrite([69933(4),504347(7),487119(8),296538(4),487610(6),62149(13)])]. 704942 x * (L(x \ 1,y,z) * T((x \ 1) \ (L(x,y,z) \ u),w)) = T(u,w). [hyper(295,a,5000,a,b,150405,a),rewrite([5000(11),688329(10),324(5),48(5),51(5)]),flip(a)]. 704990 L(x,y,z) * T(L(x,y,z) \ u,w) = x * T(x \ u,w). [hyper(5142,a,150405,a(flip),b,265,a(flip)),rewrite([704942(14),175858(7),176143(7)]),flip(a)]. 705211 L(x,y,L(z,u,w) * L(v5,z,z)) = L(x,y,L(L(z,u,w) * v5,z,z)). [para(150405(a,1),162753(a,2,3,2)),rewrite([61613(4),190773(4),158084(10)]),flip(a)]. 705390 (x \ y) * (L(y \ 1,z,u) * L(y \ 1,z,u)) = x \ (L(y,z,u) * (y \ L(1 / y,z,u))). [back_rewrite(296002),rewrite([704925(15)])]. 705617 L(x \ L(x,y,z),u,w) \ T(v5,v6) = T(L(x \ L(x,y,z),u,w) \ v5,v6). [hyper(5083,a,102113,a(flip),b,704990,a),rewrite([458856(10),51(9)])]. 705739 ((x * y) \ z) * (x * T(x \ (((x * y) \ z) \ u),w)) = (y \ T(z,x)) * T((y \ T(z,x)) \ u,w). [para(11972(a,1),704990(a,1,1)),rewrite([11972(6),596963(9)])]. 705823 L(x * T(x \ y,z),x,x) = x * T((x \ 1) * y,z). [para(28098(a,1),704990(a,2,2,1)),rewrite([377872(6),704990(5)])]. 705897 (x \ y) \ T((x \ y) * z,u) = (y \ x) * T((y \ x) \ z,u). [para(437273(a,1),704990(a,1,1)),rewrite([437273(6),176188(14)]),flip(a)]. 707150 (x \ a(y,z,u)) * T((x \ a(y,z,u)) \ w,v5) = x \ T(x * w,v5). [para(431291(a,1),705897(a,1,1)),rewrite([431291(12),7729(9),18239(11),388187(7),7735(11),385620(10),49(5),596963(22),255(21),384895(20),4405(17),705739(14),547(5),547(7)]),flip(a)]. 707194 L(x,y,z) \ T(L(x,y,z) * u,w) = x \ T(x * u,w). [para(627135(a,1),705897(a,1,1)),rewrite([627135(6),596963(18),705739(18),547(8),547(11),707150(14)])]. 709453 (1 / x) * (y * (x \ 1)) = (x \ 1) * (y * (1 / x)). [para(65058(a,1),158793(a,1,1)),rewrite([65058(11)]),flip(a)]. 709812 L(x,y,y) * (y \ 1) = L(x * (1 / y),y,y). [back_rewrite(147621),rewrite([709453(6),61613(7)]),flip(a)]. 710176 L(x,y,y) * (1 / y) = L(x * (y \ 1),y,y). [para(2244(a,1),709812(a,2,1,2)),rewrite([25262(7),26536(4),3851(6),66904(4),25262(14),26536(11)])]. 710187 a(L(x * (y \ 1),y,y),z,u) = a(L(y * x,y,y),z,u). [para(709812(a,1),12550(a,1,1)),rewrite([144621(5),190653(9),261955(10),279036(10)])]. 710281 L(x,y,y) * L(y,y,y) = L(x * y,y,y). [para(70516(a,2),709812(a,1,2)),rewrite([26414(5),28083(3),337(7),26414(9),28083(7)])]. 710748 L(T(x * y,y \ (x \ (y \ (x \ z)))),u,w) = L(L(T(x * y,z),x * y,x * y),u,w). [hyper(7088,a,52208,a,b,159410,a),rewrite([408210(8),391849(7),12024(7),60(7),52208(17),664836(15)])]. 711477 x * T(L(x,y,z) * (x \ u),w) = L(x,y,z) * T(u,w). [para(463550(a,1),13622(a,2,2)),rewrite([131426(3),175896(8),503526(4),376259(5)]),flip(a)]. 712273 a(x,y,(z * L(L(u \ 1,w,v5),v6,v7)) * v8) = a(x,y,(z * L(L(u,w,v5),v6,v7)) * v8). [para(711477(a,1),158303(a,1,3,2)),rewrite([136357(8),457786(16),401177(15),51(11),46306(13)])]. 712519 a(x,y,L(z * L(1 / z,u,w),v5,v6) * v7) = a(x,y,L(z \ L(z,u,w),v5,v6) * v7). [back_rewrite(355399),rewrite([712273(8),668596(6)])]. 712545 a(x,y,(L(z,u,w) * L(L(z,u,w),v5,v6)) * v7) = a(x,y,L(z \ L(z,v5,v6),u,w) * v7). [back_rewrite(668596),rewrite([712519(13)])]. 712598 x * (L(x \ 1,y,z) * a(x * L(x,y,z),u,w)) = L(x \ L(x,y,z),u,w). [hyper(295,a,159326,a,b,459572,a),rewrite([403185(6),459790(6),401694(8)])]. 712615 ((x \ a(x * L(x,y,z),u,w)) / x) * L(x,y,z) = x \ L(x \ L(x,y,z),u,w). [hyper(5083,a,459572,a(flip),b,158354,a),flip(a)]. 712617 L(T(x,y),z,u) * (x \ a(x * L(x,z,u),w,v5)) = L(x \ L(T(x,y),z,u),w,v5). [hyper(5083,a,459572,a(flip),b,49057,a),rewrite([5754(5),26458(5),64181(4)]),flip(a)]. 712625 L(x,y,z) * (a(x * L(x,y,z),u,w) / x) = L(x * L(1 / x,y,z),u,w). [para(459572(a,1),203(a,2,2,1)),rewrite([385459(6),60(4),712617(9),98306(5),459692(11)]),flip(a)]. 712649 L(x \ L(x,y,z),u,w) \ L(x,y,z) = a(x * L(x,y,z),u,w) \ x. [para(459572(a,1),12004(a,2,1)),rewrite([441836(12),458240(12)]),flip(a)]. 712655 a(x,y,L(z * L(1 / z,u,w),v5,v6)) = a(x,y,L(z * L(z,u,w),v5,v6)). [para(459572(a,1),77732(a,2,3)),rewrite([712625(6),626198(10)])]. 712746 a(x,y,L(z,u,w) * L(L(1 / z,z,v5),u,w)) = a(x,y,L(z * L(z,z,v5),u,w)). [back_rewrite(497509),rewrite([712655(13)])]. 714321 L(x,y,z) / T(u \ 1,u \ x) = (1 / u) \ L(x,y,z). [hyper(5081,a,193473,a,b,423138,a),rewrite([193473(6),389410(11),324(9),75989(9)]),flip(a)]. 714585 L(L(x,y,z) \ x,u,w) / T(v5,v5 \ 1) = v5 \ L(L(x,y,z) \ x,u,w). [para(382630(a,2),423138(a,1,1)),rewrite([382630(3),408210(7),323(4)])]. 715001 (L(x,y,z) \ x) * (u * a(x * L(x,y,z),w,v5)) = L(L(x,y,z) \ x,w,v5) * u. [para(714585(a,2),349543(a,1,1)),rewrite([304759(9),381611(8),323(6),408(7),91470(6),304101(6),162681(6),459665(5),51(5),625437(7),304101(12),162681(12),459665(11),51(11)]),flip(a)]. 716110 (x * ((y * x) \ (y * T(z * x,u)))) \ T(z * x,u) = a(y,x,L(x \ T(z * x,u),x,y)). [para(376475(a,2),607718(a,1,3,1)),rewrite([376475(5)]),flip(a)]. 716168 (x \ T(y * x,z)) * a(x,a(u,w,v5),v6) = x \ T(y * L(x,a(u,w,v5),v6),z). [para(376475(a,1),676324(a,1,1))]. 716648 R((x / y) \ L(x,y,y),y,x) = y. [hyper(5081,a,62108,a(flip),b,314974,a),rewrite([188068(2),487119(5),206751(6)]),flip(a)]. 716651 R(x \ R(x,y,z),x,y * z) = a(x,y,z). [hyper(5081,a,7337,a(flip),b,314974,a),rewrite([57(5),256863(3)]),flip(a)]. 716659 L((a(x,y,z) \ u) / w,w,a(x,y,z)) = u / (w * a(x,y,z)). [hyper(295,a,393579,a(flip),b,314974,a),rewrite([6706(2)])]. 716674 R((x / (y \ 1)) / z,z,y) = x / (z * (y \ 1)). [hyper(295,a,206104,a(flip),b,314974,a)]. 716681 (x / y) / (z * z) = x / ((z * z) * y). [hyper(295,a,392,a(flip),b,314974,a)]. 716689 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(57(a,1),314974(a,1,1,1))]. 716706 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(2244(a,1),314974(a,1,1)),rewrite([204513(6),250220(8)])]. 716760 x / (y * K(z,y * u)) = (x / y) * K(u * y,z). [para(39887(a,1),314974(a,2,2)),rewrite([9510(4),5785(7)]),flip(a)]. 716890 R((x \ L(x,y,z)) / u,u,x) = L(x,y,z) / (u * x). [para(188068(a,1),314974(a,1,1,1))]. 716914 x / R(K(y,z) * u,w,v5) = (x / R(u,w,v5)) * K(z,y). [para(201268(a,1),314974(a,2,2)),rewrite([9510(4),5785(7)]),flip(a)]. 717039 L((x * a(y,z,u)) / w,w,a(y,z,u)) = x / (a(y,z,u) \ w). [para(397148(a,1),314974(a,2,2)),rewrite([397417(4),206104(7),393579(5)])]. 717106 (x / (1 / y)) / (z * y) = (x / y) / (z * (y \ 1)). [para(407304(a,1),314974(a,1,1,1)),rewrite([716674(6)]),flip(a)]. 717654 x * (R(x,y,z) \ T(u,w)) = T(x * (R(x,y,z) \ u),w). [back_rewrite(298655),rewrite([716914(5),298203(3),7726(5),95539(4)])]. 717822 (x * ((a(y,z,u) \ x) \ w)) / x = w / (a(y,z,u) \ x). [back_rewrite(397407),rewrite([717039(5)]),flip(a)]. 717830 (x * (y \ 1)) \ (x / y) = x \ ((x / y) / (y \ 1)). [back_rewrite(670896),rewrite([717106(5),287949(5)])]. 718083 (x / y) / (x * (y \ 1)) = x \ ((x / y) / (y \ 1)). [back_rewrite(287949),rewrite([717830(10)])]. 718267 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(52(a,1),716706(a,1,1,2)),flip(a)]. 719234 R(x \ (y * R(y \ x,z,u)),x \ y,z * u) = a(x \ y,z,u). [hyper(5081,a,439538,a,b,716651,a),rewrite([439538(4),272488(6)]),flip(a)]. 719241 R(x \ R(x,y,z),x,y * L(z,u,z)) = a(x,y,z). [hyper(5081,a,464171,a(flip),b,716651,a),rewrite([476959(3)]),flip(a)]. 719314 L(a(x * L(x,y,z),u,w),v5,v6) = a(L(x * L(x,y,z),v5,v6),u,w). [para(118292(a,2),716651(a,1,1)),rewrite([63(4),382630(3),118292(8),305594(8),304101(6),162681(6),459665(5),51(5),63(9),382507(8),422280(8),459453(8),307426(8)])]. 719355 R(x,y,z) * (x \ R(R(x,y,z) \ x,x,y * z)) = a(x,y,z) * (R(x,y,z) \ x). [para(716651(a,1),272488(a,1,2)),rewrite([358405(4),62852(11)]),flip(a)]. 719509 R((x * y) \ ((x * (z \ R(z,u,w))) * y),L(z,x,y),u * w) = a(L(z,x,y),u,w). [para(143267(a,1),719234(a,1,2)),rewrite([65467(9),58(5),285970(7),65467(6),323(2),272385(5),410(6),214148(11),143267(13),26466(13)])]. 719663 a(x,y,a(L(z * L(z,u,w),v5,v6),v7,v8)) = a(x,y,a(v8,v7,z * L(z,u,w))). [para(719314(a,1),158417(a,2,3)),rewrite([483762(5),383773(5)]),flip(a)]. 719697 a(x * L(x,y,z),u,w) \ v5 = v5 * a(w,u,x * L(x,y,z)). [para(719314(a,1),59164(a,1,2)),rewrite([413407(6),6706(4),6706(9),483762(9)])]. 719709 a(x * L(x,y,z),u,w) * a(a(w,u,x * L(x,y,z)),v5,v6) = a(L(x * L(x,y,z),v5,v6),u,w). [para(719314(a,1),627135(a,1,1,1,3)),rewrite([719663(5),431525(10),386756(8),719314(12)])]. 719758 L(x \ L(x,y,z),u,w) \ L(x,y,z) = x * a(w,u,x * L(x,y,z)). [back_rewrite(712649),rewrite([719697(9)])]. 719766 (x / y) * L(y,L(x,z,u),x * L(x,z,u)) = x * a(y,L(x,z,u),x * L(x,z,u)). [back_rewrite(650717),rewrite([719697(11)])]. 719767 ((x \ 1) * a(y,L(x,z,u),x * L(x,z,u))) * y = (x \ L(x,z,u)) * ((L(x,z,u) \ 1) * y). [back_rewrite(650096),rewrite([719697(7)])]. 719775 (x * a(y,L(x,z,u),x * L(x,z,u))) * y = (L(x,z,u) \ x) * (L(x,z,u) * y). [back_rewrite(629672),rewrite([719697(5)])]. 719777 ((x \ L(x,y,z)) \ u) * a(u,x * L(x,y,z),x * L(x,y,z)) = (L(x,y,z) \ x) * u. [back_rewrite(594661),rewrite([719697(9)])]. 720603 ((x * y) * a(z,u,w)) / (y * L(a(z,u,w),v5,v6)) = L(a(v6,v5,a(z,u,w)) * x,y,a(z,u,w)). [para(398604(a,1),716689(a,2,2)),rewrite([393579(2),6706(5),388135(5),17060(5),385866(10),5533(10)]),flip(a)]. 721010 L(x \ L(x,y * L(y,z,u),L(y,z,u)),x,y) = a(x,y * L(y,z,u),L(y,z,u)). [para(502166(a,1),719241(a,1,3)),rewrite([206104(6),503150(4),503497(4),26414(9),381372(7),308063(8),476886(9),278909(8),217672(9),476959(7),381213(6),72770(12),64099(10)])]. 721023 a(L(x * L(x,y,z),u,w),v5,v6) \ 1 = a(v6,v5,L(x * L(x,y,z),u,w)). [para(305737(a,2),719241(a,1,3,2)),rewrite([626208(4),422231(10),476577(10),422231(12),476738(12),305327(9),381213(10),629456(10),508149(10),626198(10)])]. 721076 (x * y) * a(x,z,z) = x * (y * a(x,z,z)). [para(672512(a,1),7687(a,1,1)),rewrite([48(5)]),flip(a)]. 722727 L(x \ (y / ((y \ x) \ 1)),z * u,a(x \ ((y \ x) \ y),z,u)) * x = y / ((y \ x) \ 1). [para(594481(a,2),642210(a,1,1)),rewrite([96321(12),96575(12)])]. 723914 (x * a(y,x,x)) \ (x * z) = x * ((x * a(y,x,x)) \ z). [para(627168(a,1),158527(a,1,2,1)),rewrite([627168(10),399683(8)])]. 724099 a(x,x,y) \ R(x,x,y) = x. [hyper(18642,a,632855,a),rewrite([561(2)]),flip(a)]. 724132 x \ R(x,x,y) = a(x,x,y). [hyper(5306,a,632855,a)]. 724138 a(x,x,x \ y) = a(x,x,x * y). [hyper(5083,a,270259,a(flip),b,632855,a),rewrite([724132(3)]),flip(a)]. 724172 a(x,x,y) * x = R(x,x,y). [hyper(295,a,1143,a,b,632855,a)]. 724190 L(a(x,x,y),z,u) \ R(x,x,y) = x * a(u,z,a(x,x,y)). [hyper(7088,a,632855,a(flip),b,297511,a),rewrite([382507(3),399873(5),382507(5),6174(6),561(5),382507(5)]),flip(a)]. 724293 x \ R(T(x,y),x,z) = K(x,y) * a(x,x,z). [hyper(5083,a,632855,a(flip),b,7753,a),rewrite([204513(3),13927(7),12463(6)])]. 724309 x \ ((x / y) * R(y,y,z)) = L(a(y,y,z),y,x). [para(632855(a,1),56(a,1,2,2)),rewrite([491520(4)])]. 724368 a(x * L(x,x,y),z,u) = a(a(x,x,y),z,u). [para(632855(a,1),46456(a,1,1,1)),rewrite([11009(2),234911(3),266193(5)])]. 724440 R(x,x,R(y,z,u)) = R(x,x,L(y,z,u)). [para(14987(a,1),632855(a,1,2)),rewrite([313889(2),632855(3),204271(5)]),flip(a)]. 724474 x * R(1 / x,x,y) = a(x,x,y * x). [para(632855(a,1),90188(a,2,2)),rewrite([14827(10),50864(10),12554(8),46610(8),385017(7),632855(4),61(6),270004(6),169922(5),724132(3),214508(7),206751(7)]),flip(a)]. 724598 x \ (R(y,y,z) * (y \ x)) = L(a(y,y,z),y,x). [para(632855(a,2),590589(a,1,2,1)),rewrite([632855(2),724309(8)])]. 724619 R(x,x,L(y,y,x)) = R(x,x,y). [para(593601(a,1),632855(a,1,2)),rewrite([470950(4),632855(3),269952(4)])]. 724629 a(a(x,x,y),x,z) = a(x,a(x,x,y),z). [para(632855(a,1),634034(a,1,2,2,2,1)),rewrite([62852(4),724598(5),382653(4)])]. 724686 x * ((x \ y) / y) = a(x,x,y). [back_rewrite(272872),rewrite([724132(2)]),flip(a)]. 724754 a(x,x,x * y) * y = x \ ((x \ 1) \ y). [back_rewrite(600333),rewrite([724138(2)])]. 724756 x * a(y,y,y * x) = y \ ((y \ 1) \ x). [back_rewrite(595279),rewrite([724138(2)])]. 724807 K(x,y) * a(x,x,y) = (y / (y * x)) * x. [back_rewrite(595802),rewrite([724293(3)])]. 724849 ((x * y) \ x) \ ((y \ 1) * L(y * ((x * y) \ x),z,u)) = a(a(y,y,x),z,u). [back_rewrite(692861),rewrite([724368(13)])]. 724945 R(x,x,x * (y \ x)) = R(x,x,y). [back_rewrite(437694),rewrite([724619(2)]),flip(a)]. 724971 R(x,x,y \ x) = R(x,x,x * y). [back_rewrite(672057),rewrite([724945(6),204273(4),206104(4),270259(2)]),flip(a)]. 728057 R(x,x,y) \ a(x,x,y) = x \ 1. [para(724099(a,1),437273(a,1,1,2)),rewrite([724099(5),209136(4),279253(4)]),flip(a)]. 728169 L(a(x,x,y),z,x) = a(x,x,y). [hyper(295,a,464051,a,b,724132,a),rewrite([215908(3),63(2),464051(5),272623(4),724132(2),464059(5),464056(4)])]. 728298 a(x,a(y,y,z),y) = a(x,y,a(y,y,z)). [para(724132(a,1),507605(a,1,1,2,3)),rewrite([394194(3),209136(4),5528(4),724132(4),724629(4),386929(6),48(6)]),flip(a)]. 728300 K(x \ 1,y) * a(x,x,z) = x * R(T(x \ 1,y),x,z). [para(724132(a,1),271020(a,1,2)),rewrite([724132(9),728057(9),531257(10)])]. 730507 L(x,y,x) * (y * L(y \ (L(x,y,x) \ z),u,w)) = y * (x * L(x \ (y \ z),u,w)). [para(159058(a,1),28584(a,1,1)),rewrite([159058(4),24474(5),24474(12)]),flip(a)]. 732534 (x / (1 / y)) \ (x * y) = (x / y) \ (x * (y \ 1)). [para(210703(a,1),256863(a,1,1)),rewrite([508623(5),210703(12)]),flip(a)]. 733802 R(T(x,y),L(z,u,w),x) = R(T(x,y),z,x). [hyper(5081,a,267589,a,b,370501,a),rewrite([203025(4),267589(4),203025(6)]),flip(a)]. 733834 (L(x,y,z) * u) * R(u,x,u) = L(T(u * x,u) * u,y,z). [para(370501(a,1),101962(a,2,2)),rewrite([474689(2),206341(4),509571(5),475452(4),84431(3)]),flip(a)]. 733836 a(x * L(T(y * z,y) * y,u,w),v5,v6) = a(x * L(L(z,u,w),y,y),v5,v6). [para(370501(a,1),102431(a,1,1,2,2)),rewrite([733834(4),75362(11)])]. 734811 (x \ y) * L(x \ 1,x,y) = (x \ y) / x. [para(438015(a,1),401857(a,1,2))]. 735166 (x \ a(y,z,u)) / x = x \ (a(y,z,u) / x). [back_rewrite(651731),rewrite([734811(7)])]. 735204 (x \ (a(x * L(x,y,z),u,w) / x)) * L(x,y,z) = x \ L(x \ L(x,y,z),u,w). [back_rewrite(712615),rewrite([735166(5)])]. 735363 L(a(x,y,z) \ 1,u,u) \ (u * u) = (u \ 1) \ ((1 / u) \ a(x,y,z)). [para(407823(a,2),494677(a,2,2,1)),rewrite([407823(10),13654(10),684822(11)])]. 735373 a(L(x * L(x,x,y),z,u),w,v5) = a(a(x,x,y),w,v5). [para(407823(a,1),719314(a,1,1,1,2)),rewrite([724368(3),5530(3),407823(4)]),flip(a)]. 737083 ((a(x,y,z) \ u) / w) / L(1 / w,w,a(x,y,z) * u) = a(x,y,z) \ u. [hyper(5081,a,397148,a,b,437202,a),rewrite([397148(4),83407(10)]),flip(a)]. 737804 L(x,L(L(L(y,z,y),u,w),v5,v6),v7) = L(x,L(L(y,u,w),v5,v6),v7). [para(417(a,1),464055(a,1,2)),rewrite([653086(4)])]. 737831 L(x,L(y * L(a(z,u,w),v5,v6),v7,a(z,u,w) * y),v8) = L(x,y * a(z,u,w),v8). [para(384778(a,1),464055(a,1,2)),rewrite([452287(11)])]. 738169 a(x,L(y * L(a(z,u,w),v5,v6),v7,a(z,u,w) * y),v8) = a(x,y * a(z,u,w),v8). [para(384778(a,1),464059(a,1,2)),rewrite([419497(11)])]. 738280 (x * L(y,z,u)) * x = L((x * y) * x,z,u). [para(474689(a,1),7687(a,1,1)),rewrite([621380(4),509571(5),7687(4)]),flip(a)]. 738290 L(x,L(y,z,u),x) = L(x,y,x). [para(474689(a,1),460495(a,1,1)),rewrite([460495(2)]),flip(a)]. 738579 a(x \ y,x,x) = a(x * y,x,x). [para(60426(a,1),627831(a,1,1)),rewrite([12534(4),46633(4)]),flip(a)]. 738596 a(x \ y,y,y) = a(y * x,y,y). [para(437273(a,1),627831(a,1,1)),rewrite([738579(2),12554(6),46610(6)]),flip(a)]. 738913 L(x \ L(x,y,z),x,u \ x) = L(x \ L(x,y,z),x,u). [para(724619(a,1),304458(a,1,1)),rewrite([724619(3),304458(4),671321(7)]),flip(a)]. 739071 x \ a(x,x,y) = (x \ y) / y. [hyper(5306,a,724686,a)]. 739436 a(x \ y,x \ y,y) = (y / x) * (x / y). [para(340(a,1),724686(a,1,2,1)),rewrite([14827(6),12554(6)]),flip(a)]. 739453 a(x * (y \ (x \ y)),z,u) = a(a(x,x,y),z,u). [para(724686(a,1),12467(a,2,1)),rewrite([12592(5),12467(5)])]. 739580 L(x,y,z * (u \ (z \ u))) = L(x,y,a(z,z,u)). [para(724686(a,1),83104(a,2,3)),rewrite([83661(6),83104(6)])]. 739955 L(x,y * (z \ (z / y)),u) = L(x,a(y,y,z),u). [para(724686(a,1),27307(a,1,2)),rewrite([27287(6),694885(6)]),flip(a)]. 739963 L(x,y,(z \ (u \ z)) * u) = L(x,y,a(u,u,z)). [para(724686(a,1),25271(a,1,3)),rewrite([84993(6)]),flip(a)]. 740006 a(L(x * L(x,R(x,y,z),u),y,z),w,v5) = a(a(R(x,y,z),R(x,y,z),u),w,v5). [back_rewrite(692868),rewrite([739453(11)])]. 740063 (x * ((y * x) \ y)) \ z = (L(x,x,y) \ x) * z. [back_rewrite(608745),rewrite([739580(10),739955(8),400178(6)])]. 740133 x / (((y \ (y / z)) \ (1 / z)) * x) = z * ((y * z) \ y). [back_rewrite(692952),rewrite([739955(7),443873(5)]),flip(a)]. 740144 L(x,(y \ (y / z)) \ z,u) = L(x,a(z,z,y),u). [back_rewrite(681370),rewrite([739955(8)])]. 740788 a(x,x,L(y,z,x)) = a(x,x,y). [hyper(295,a,420938,a(flip),b,728169,a),rewrite([420818(6),48(4)])]. 740807 (x * y) * a(x,x,z) = x * (y * a(x,x,z)). [para(728169(a,1),380(a,1,2))]. 740843 x * (y * a(x,x,y)) = (1 / x) \ y. [back_rewrite(594602),rewrite([740807(3)])]. 742602 a(L(x * (y * x),z,u),w,v5) = a(L(L(y,z,u),x,x),w,v5). [para(738290(a,1),24885(a,1,1,1)),rewrite([158793(4),464115(5),621380(6)]),flip(a)]. 743124 x \ a(x,x,y * x) = R(1 / x,x,y). [para(58(a,1),739071(a,2,1)),rewrite([203677(6)])]. 743192 a(x,x,y) * K(x \ 1,z) = x * R(T(x \ 1,z),x,y). [para(739071(a,1),9005(a,1,1,1)),rewrite([96175(3),335(1),728300(5),407918(9)]),flip(a)]. 743526 a(x,x,y) \ x = 1 / ((x \ y) / y). [para(739071(a,1),346450(a,2,2)),rewrite([604529(5),724172(3),234850(3),724629(3),591909(3),728298(2),339099(2),324(4)])]. 743789 (x * (y \ 1)) \ (y \ x) = y * (x \ (y \ x)). [back_rewrite(592648),rewrite([743192(5),268789(4)]),flip(a)]. 744318 (x \ a(y,z,u)) * (((x \ 1) \ 1) * w) = (a(y,z,u) / x) * (x * w). [para(365(a,1),398858(a,2,1)),rewrite([612199(3),663093(5),399773(8),83661(9),51(8),400178(7),407840(7),64714(7),5754(12),64714(7),175400(12)]),flip(a)]. 744479 (a(x,y,z) * z) * ((z \ 1) * u) = (a(x,y,z) / z) * (z * u). [back_rewrite(643177),rewrite([744318(8)]),flip(a)]. 747403 a(x * L((y * z) * y,u,w),v5,v6) = a(x * L(y * (z * y),u,w),v5,v6). [para(738280(a,1),46819(a,1,1,2)),rewrite([621380(8)])]. 747514 a(x * L(y * (z * y),u,w),v5,v6) = a(x * L(L(z,u,w),y,y),v5,v6). [para(738280(a,1),102431(a,2,1,2)),rewrite([370501(4),733834(4),733836(6),747403(9)]),flip(a)]. 747516 a(x * L(y * (y * z),u,w),v5,v6) = a(x * L(L(z,u,w),y,y),v5,v6). [para(738280(a,1),46791(a,1,1,2)),rewrite([747403(5),747514(5),25976(7)]),flip(a)]. 747655 L((x * y) * x,z,u) \ ((x * y) * x) = L(y \ L(y,z,u),x,x) \ 1. [para(738280(a,2),305132(a,1,1,2)),rewrite([738280(5),185177(6)]),flip(a)]. 747881 L(x,(y * z) * (y * L(z,u,w)),v5) = L(x,L(z * L(z,u,w),y,y),v5). [para(738280(a,2),165220(a,1,2,1)),rewrite([738280(3),747655(6),28083(6),422229(4),305968(11),50(7)]),flip(a)]. 748327 L(a(x,x,y),z,u) * (1 / ((x \ y) / y)) = x * a(a(x,x,y),z,u). [para(743526(a,1),18710(a,2,2)),rewrite([6743(5),452938(5),382653(4)]),flip(a)]. 748683 R(x,x,y) * L(a(x,x,y) \ 1,z,u) = x * a(a(x,x,y),z,u). [para(743526(a,1),159326(a,2,2)),rewrite([397417(4),632855(2),748327(13)])]. 748807 x * (x * ((a(y,z,u) \ x) \ 1)) = ((a(y,z,u) \ 1) / x) \ 1. [para(398680(a,1),743526(a,1,1)),rewrite([400780(7),388135(6),389275(6),601465(8),568406(11),6706(13),604475(13),399292(12)])]. 749295 (x / (x * (y \ 1))) * (y \ 1) = y * (x \ (y \ x)). [hyper(5081,a,214198,a,b,724807,a),rewrite([214198(6),50864(15),46610(13),728300(12),268789(11)])]. 749312 (x / (x * y)) / (1 / y) = (x / (x * y)) * y. [hyper(5081,a,57662,a,b,724807,a),rewrite([26402(7),438762(7),699325(7),60426(5),49(6),724807(8)])]. 749340 K(x,x \ y) * a(x,x,x * y) = ((y / x) / y) * x. [hyper(295,a,330482,a,b,724807,a),rewrite([724138(4),330482(6),237663(9)])]. 749343 a(x,x,y) * K(x,y) = (y / (y * x)) * x. [hyper(295,a,159058,a,b,724807,a),rewrite([5538(4),561(5)])]. 749344 (T(x,y) / (T(x,y) * z)) * z = T((x / (x * z)) * z,y). [hyper(295,a,39396,a,b,724807,a),rewrite([13983(2),13983(3),385118(4),37810(4),749343(3)]),flip(a)]. 749552 T(a(x,x,x * y) * K(x,x \ y),z) = T(((y / x) / y) * x,z). [para(11507(a,2),724807(a,1,1)),rewrite([11507(3),13983(6),724138(5),24947(6),749344(13),237663(10)])]. 749841 ((x * (y \ 1)) / ((y * x) * (1 / y))) * T(y,x) = ((x / y) / x) * y. [para(202072(a,1),724807(a,2,1,2)),rewrite([76040(5),1039(3),11507(3),34821(3),238(2),77732(8),78011(8),13927(6),12463(5),749340(5),210849(11)]),flip(a)]. 749866 R(x,y,z * (u \ (u / z))) = L(x,y,a(z,z,u)). [para(724807(a,1),217015(a,2,3)),rewrite([5754(3),49(3),204274(4),393579(2),216853(6),493504(5)]),flip(a)]. 750386 R(x,y,z * L(z,z,u)) = L(x,y,a(z,z,u)). [back_rewrite(694190),rewrite([749866(7)])]. 750449 (L(x,x,y) \ x) \ z = z * (x \ L(x,x,y)). [back_rewrite(692835),rewrite([750386(9),491149(8),740144(8),400178(6)])]. 750647 (x * (y \ 1)) / ((y * x) * (1 / y)) = (T(x,y) / y) / x. [hyper(5142,a,84326,a,b,749841,a),rewrite([565360(7),84(5),2598(5),959(5),562(5),228935(7),96893(7),96681(5),9477(6),587757(4)]),flip(a)]. 750699 ((T(x,y) / y) / x) * T(y,x) = ((x / y) / x) * y. [hyper(5142,a,749841,a,b,49,a),rewrite([750647(8),336(7)])]. 750760 R(x / ((y / T(z,x)) / y),z,y \ (z \ y)) \ (z * x) = ((y / T(z,x)) / y) * T(z,x). [hyper(5081,a,223843,a,b,749841,a),rewrite([214508(8),216240(8),216269(8),495834(7),750647(20),750699(17)])]. 750844 ((T(x,y) * (1 / y)) / R(x,y,y)) * T(y,x) = ((x / T(y,x)) / T(x,y)) * y. [para(174(a,1),749841(a,2,1,1)),rewrite([410(6),211396(9),196(8)])]. 750846 ((T(x,y) / y) / T(x,y)) * y = ((x / T(y,x)) / T(x,y)) * y. [para(196(a,1),749841(a,1,2)),rewrite([410(6),211396(9),750844(8)]),flip(a)]. 750977 (T(x,y) / y) / T(x,y) = (x / y) / x. [para(749841(a,1),41546(a,1,1)),rewrite([52(4),750647(10),42661(7)]),flip(a)]. 751549 ((x / T(y,x)) / T(x,y)) * y = ((x / y) / x) * y. [back_rewrite(750846),rewrite([750977(4)]),flip(a)]. 751646 (x / (x * (y \ 1))) / y = y * (x \ (y \ x)). [hyper(5081,a,214198,a,b,749312,a),rewrite([214198(6),749295(7),337(11)]),flip(a)]. 752181 x \ (y / (y * (x \ 1))) = x * (y \ (x \ y)). [hyper(5081,a,94627,a,b,751646,a),rewrite([495595(5),269858(5),751646(10)])]. 752286 x * (x * (y \ (x \ y))) = y / (y * (x \ 1)). [para(751646(a,1),197(a,2,2)),rewrite([752181(9),380915(8),801(6),553(6),49(6)]),flip(a)]. 752442 a(x * (y * (z \ ((1 / u) \ z))),w,v5) = a(x * ((z \ (u \ z)) * y),w,v5). [para(751646(a,2),130753(a,1,1,2,2,2)),rewrite([751646(5),752286(4),47335(7),495354(4),239472(7),531567(10),13786(13)])]. 752758 a(x * ((x \ y) * z),u,a(w,v5,v6)) = a(x * (y * (x \ z)),u,a(w,v5,v6)). [back_rewrite(672220),rewrite([752442(9),439632(7)])]. 754364 ((x * y) / (z * y)) * z = z * R(z \ x,z,y). [para(718267(a,1),410(a,1,2)),flip(a)]. 754386 a(R(x \ y,x,z),u,w) = a((x * z) \ (y * z),u,w). [para(718267(a,1),12463(a,1,1)),rewrite([12554(7)])]. 754663 R(R(x,y,z) \ u,L(x,y,z),y * z) = T((u * (y * z)) / ((x * y) * z),x). [para(401(a,1),718267(a,1,1,2)),rewrite([6492(7),215709(11)]),flip(a)]. 754679 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(718267(a,1),859(a,1,1)),rewrite([61(4)])]. 756221 a(x * (y \ (z * x)),a(u,w,v5),v6) = a(y * z,a(u,w,v5),v6). [hyper(5081,a,634034,a,b,754386,a),rewrite([634034(13),396643(5),451681(5),396599(9),396643(8)])]. 756328 a((x * a(y,z,u)) \ (w * x),v5,v6) = a(a(y,z,u) * w,v5,v6). [para(1143(a,1),754386(a,2,1,1)),rewrite([385866(4),386964(5),398307(3)]),flip(a)]. 756352 a((x * a(y,z,u)) \ (w * v5),v6,v7) = a(x \ (w * (a(y,z,u) \ v5)),v6,v7). [para(19228(a,1),754386(a,2,1,2)),rewrite([393579(6),394186(7),431410(14)]),flip(a)]. 756422 a(R(T(x,y * y) \ z,x,y),u,w) = a((x * y) \ (y * z),u,w). [para(50481(a,1),754386(a,2,1,1)),rewrite([204273(8),206104(8),204513(6),26221(12),81530(11),98568(12)])]. 756541 a(R(T(x,y) \ z,x,u),w,v5) = a((u * x) \ (z * u),w,v5). [para(8513(a,1),754386(a,2,1,1)),rewrite([203025(5),204513(4),11961(10),18893(11),98568(9)])]. 756562 a((x * L(x,y,z)) \ (u * L(x \ 1,y,z)),w,v5) = a(R(x \ u,x,L(x,y,z)),w,v5). [para(69933(a,1),754386(a,2,1,1)),rewrite([217672(5),150445(12)]),flip(a)]. 756804 a((x * L(x,y,z)) \ (u * (x * (L(x,y,z) \ x))),w,v5) = a(R(x \ u,x,L(x,y,z)),w,v5). [para(353896(a,1),754386(a,2,1,1)),rewrite([217723(5),311766(14)]),flip(a)]. 756879 a(((a(x,y,z) \ u) * w) \ ((u * (a(x,y,z) \ v5)) * w),v6,v7) = a(R(v5,a(x,y,z) \ u,w),v6,v7). [para(397588(a,1),754386(a,1,1,1)),rewrite([63(5),386964(6)]),flip(a)]. 756982 a(R(T(T(T(x,y),y),z) \ u,x,w),v5,v6) = a((x * w) \ (u * w),v5,v6). [para(52827(a,1),754386(a,1,1,1)),rewrite([204513(8),204513(7),204513(6),69469(13),69469(12),69469(11)])]. 757165 a(x * a(y,x,z),a(u,w,v5),v6) = a(x,a(u,w,v5),v6). [back_rewrite(634686),rewrite([756221(10),46456(8),396598(7)])]. 757169 a(x \ (y * (a(z,u,w) \ x)),v5,v6) = a(a(z,u,w) * y,v5,v6). [back_rewrite(756328),rewrite([756352(5)])]. 757215 L(x,y,z) * (x \ a(z,y,L(x,y,z))) = a(y,a(z,y,L(x,y,z)),x). [back_rewrite(636388),rewrite([757165(6)]),flip(a)]. 757252 a(L(x * L(x,y,z),u,w),v5,v6) \ v7 = v7 * a(v6,v5,L(x * L(x,y,z),u,w)). [hyper(5081,a,629630,a(flip),b,719697,a),rewrite([421274(9),644706(5),49(5),719314(4),16927(14),719697(9),7735(14),394583(13),644706(10),49(10),719314(9),721023(11)])]. 757263 (x * a(y,z,u * L(u,w,v5))) * y = (x * y) * a(y,z,u * L(u,w,v5)). [hyper(295,a,629632,a(flip),b,719697,a),rewrite([719697(4)])]. 757366 x * a(y,z,L(u * L(u,u,w),v5,v6)) = a(y,z,a(u,u,w)) * x. [para(497082(a,1),719697(a,1,1,1,2)),rewrite([250971(9),667697(9),158137(7),93300(4),307452(5),735373(4),388135(3),497082(11),158247(12),712746(10)]),flip(a)]. 757407 (x * y) * a(y,L(x,z,u),x * L(x,z,u)) = (L(x,z,u) \ x) * (L(x,z,u) * y). [back_rewrite(719775),rewrite([757263(6)])]. 757408 ((x \ 1) * y) * a(y,L(x,z,u),x * L(x,z,u)) = (x \ L(x,z,u)) * ((L(x,z,u) \ 1) * y). [back_rewrite(719767),rewrite([757263(8)])]. 757724 L(x,y,z) * a(u,u,L(x,y,z)) = L(u \ ((1 / u) \ x),y,z). [hyper(5083,a,423138,a,b,740843,a),rewrite([389410(7),324(5),75989(5),714321(6),156693(5)]),flip(a)]. 757870 ((L(x,y,z) \ x) \ u) * a(u,x * L(x,y,z),x * L(x,y,z)) = (x \ L(x,y,z)) * u. [hyper(7088,a,740843,a(flip),b,399916,a),rewrite([64099(8),64094(8),561(9),64099(8),64094(8),293004(12),305132(12),719697(12)]),flip(a)]. 757978 x \ ((1 / x) \ y) = a(x,x,y) * y. [hyper(5142,a,740843,a(flip),b,384961,a),rewrite([356710(5)])]. 758127 L(x * a(y,y,x),y,y) = x. [hyper(270,a,22931,a,b,740843,a(flip))]. 758229 a(x * L(y * z,y,y),u,w) = a(x * (y \ z),u,w). [para(740843(a,1),46819(a,2,1,2)),rewrite([470775(5),131130(4),13826(9),68916(9)])]. 758253 x * (R(x,y,z) * (u * a(x,x,u))) = R(x,y,z) * ((1 / x) \ u). [para(740843(a,1),63041(a,1,2)),flip(a)]. 758330 (x * L(x,y,z)) * ((x \ L(x,y,z)) \ ((L(x,y,z) \ x) \ u)) = (x \ (L(x,y,z) \ 1)) \ u. [para(64099(a,2),740843(a,1,2,2)),rewrite([64099(7),598175(8),305149(13)])]. 758652 L(x,y,L(z * u,z,z)) = L(x,y,z \ u). [para(740843(a,1),85799(a,2,3)),rewrite([430514(4),190332(5),28448(5),42394(7),83147(7)])]. 758865 L(x,y,L(z,u,u) * u) = L(x,y,u \ z). [back_rewrite(120917),rewrite([758652(6)])]. 758906 a(L(x * y,x,x),z,u) = a(x \ y,z,u). [hyper(5081,a,13787,a(flip),b,758229,a),rewrite([17060(7),17093(8)]),flip(a)]. 758917 a(x \ L(y * z,y,y),u,w) = a(x \ (y \ z),u,w). [hyper(295,a,403505,a(flip),b,758229,a),rewrite([758652(7),403505(9)])]. 758938 a((x \ (x \ y)) * z,u,w) = a(z * L(y,x,x),u,w). [para(165(a,2),758229(a,1,1,2,1)),rewrite([165(3),705823(4),13887(7),61613(4),96820(8)]),flip(a)]. 758950 a(L((x * y) * a(z,u,w),x,x),v5,v6) = a(a(z,u,w) * (x \ y),v5,v6). [para(1143(a,1),758229(a,1,1)),rewrite([452396(5)])]. 759083 a(x * L(L(y,z,a(u,w,v5)) * v6,y,y),v7,v8) = a(x * (L(y,z,a(u,w,v5)) \ v6),v7,v8). [para(394205(a,1),758229(a,1,1,2)),rewrite([339647(6)])]. 759097 a((x \ y) * L(z,L(x * y,x,x),x \ y),u,w) = a(L(x * y,x,x) \ z,u,w). [para(447912(a,2),758229(a,1,1)),rewrite([408210(9),354134(7),408210(8),391849(7),12024(7),60(7),710748(7),664830(7),12556(8),758938(13),758652(10)]),flip(a)]. 759166 a(L(x * y,y,y),z,u) = a(y \ x,z,u). [para(709812(a,1),758229(a,2,1)),rewrite([49(3),710281(3),144621(8),710187(8),758906(6)])]. 759193 a(L(x,y,y) * y,z,u) = a(y \ x,z,u). [back_rewrite(278715),rewrite([758906(6)])]. 759195 a(x * L(y,x,x),z,u) = a(x \ y,z,u). [back_rewrite(120864),rewrite([758906(6)])]. 759303 a(x \ (x \ y),z,u) = a(L(y,x,x),z,u). [para(22931(a,1),758917(a,1,1)),rewrite([26392(3),81391(6),96575(7)]),flip(a)]. 759372 a(x \ L((y * z) \ L(y * z,u,w),y,y),v5,v6) = a(x \ ((y \ z) * L(y \ z,u,w)),v5,v6). [para(70526(a,1),758917(a,1,1,2,1)),rewrite([305465(15)])]. 759381 a(x \ L(L(y \ 1,z,u) * w,L(y,z,u),L(y,z,u)),v5,v6) = a(x \ (L(y,z,u) \ w),v5,v6). [para(157346(a,1),758917(a,1,1,2,1)),rewrite([96426(15)])]. 759382 a(x \ (L(y \ 1,z,u) \ w),v5,v6) = a(x \ (L(y,z,u) \ w),v5,v6). [para(157346(a,2),758917(a,1,1,2,1)),rewrite([157346(4),83591(11),70578(9),759381(9)]),flip(a)]. 759452 a(x \ L(L(y,z,a(u,w,v5)) * v6,y,y),v7,v8) = a(x \ (L(y,z,a(u,w,v5)) \ v6),v7,v8). [para(394205(a,1),758917(a,1,1,2)),rewrite([339647(6)])]. 759532 a(x \ (y * (a(z,u,w) \ v5)),v6,v7) = a(x \ (y * (v5 * a(z,u,w))),v6,v7). [para(494677(a,2),758917(a,1,1,2,1)),rewrite([400178(9),759382(8),568440(6),380(4),398452(12),663076(10),663003(12)]),flip(a)]. 759571 a(L(x,y,y) \ y,z,u) = a(L(x \ y,y,y),z,u). [back_rewrite(666206),rewrite([759303(4)]),flip(a)]. 759619 a(x \ (y * (x * a(z,u,w))),v5,v6) = a(a(z,u,w) * y,v5,v6). [back_rewrite(757169),rewrite([759532(5)])]. 759627 a((x * a(y,z,u)) \ (w * v5),v6,v7) = a(x \ (w * (v5 * a(y,z,u))),v6,v7). [back_rewrite(756352),rewrite([759532(10)])]. 759737 a(L(x \ (y * L(x,z,u)),L(x,z,u),L(x,z,u)),w,v5) = a(x \ (L(x,z,u) \ y),w,v5). [para(160170(a,1),759166(a,1,1,1)),rewrite([96321(12),584822(11),96375(12)])]. 759781 a(L(x * R(y * (z * z),u,w),R(y,u,w),L(y,u,w)),v5,v6) = a(R(y,u,w) \ x,v5,v6). [para(291003(a,1),759166(a,2,1)),rewrite([209136(11),56939(11),291306(9),12684(13)])]. 759785 a(L(x \ L(x,y,z),u,w) \ L(x,u,w),v5,v6) = a(L(L(x,u,w),y,z),v5,v6). [para(304637(a,1),759166(a,1,1,1)),rewrite([422231(9),422229(9),511490(9)]),flip(a)]. 759824 a(L(x * R(1 / y,y,x),L(y,y,x),L(y,y,x)),z,u) = a(y * x,z,u). [para(94627(a,1),759166(a,2,1)),rewrite([209136(11),83639(11),83591(11),28163(9),273593(9),234755(7)])]. 760077 a(L(x \ (a(y,z,x) \ u),x \ u,x \ u),w,v5) = a((x \ u) * a(y,z,x),w,v5). [para(646032(a,1),759571(a,2,1,1)),rewrite([646929(6),568440(7),452268(5),682368(4),452268(5),646361(6),452276(7)]),flip(a)]. 760777 x / L(a(y,z,u) * K(w,v5),v6,v7) = x * (L(a(y,z,u),v6,v7) \ K(v5,w)). [para(398604(a,2),716760(a,2,2,1)),rewrite([376915(6),381153(5),26653(4),118297(8),398604(13),376474(12),384540(11),505594(10)])]. 760886 L(x \ K(y * x,z),x,x * u) = L(K(x * y,z) / x,x,u). [para(716760(a,1),623364(a,2,1)),rewrite([12023(5),534672(5),7725(10),83105(11),26505(8),534685(10),26505(12)])]. 761012 x \ ((1 / x) \ (a(y,z,u) \ 1)) = L(a(y,z,u),x,x) \ 1. [hyper(7088,a,757978,a,b,397682,a),rewrite([72881(5),388653(4),452543(6),5754(13),356693(13),662843(10)]),flip(a)]. 761281 L(L(x,y,z) \ x,u,u) \ 1 = u \ ((x / u) \ L(x,y,z)). [hyper(5081,a,102113,a,b,757978,a),rewrite([72892(5),457477(6),504296(6),304742(10)])]. 761520 L(a(x,x,y) * y,x,x) = y. [para(757978(a,1),11892(a,1,1)),rewrite([26402(5),26414(5),53(6),324(5)])]. 761543 a(x,y,z \ ((1 / z) \ u)) = a(x,y,L(u,z,z)). [para(757978(a,1),13992(a,1,3)),rewrite([13927(3),12463(2),453437(3),356783(8)]),flip(a)]. 761829 a(x,y,z * a(u,u,z)) = a(x,y,L(z,u,u)). [para(757978(a,2),77977(a,2,3)),rewrite([385056(3),13983(4),761543(8)])]. 761846 R(x,y,z) * (x \ ((1 / x) \ u)) = R(x,y,z) * (u * a(x,x,u)). [para(757978(a,1),151404(a,1,1)),rewrite([411(10,R),414298(7),323(3),324(5),48(4),385522(5)]),flip(a)]. 762224 L(x \ ((y / x) \ L(y,z,u)),L(y,x,x),x \ y) = (x \ y) \ (x \ L(y,z,u)). [para(757978(a,1),441758(a,1,2)),rewrite([192086(7),509465(9),42394(10),83147(10),443995(8),173314(16),357116(15)])]. 762235 (x * a(y,z,u)) \ ((1 / (x * a(y,z,u))) \ a(y,z,u)) = L(a(y,z,u),x,x * a(y,z,u)). [para(398680(a,1),757978(a,2,1)),rewrite([383870(15)])]. 762429 L(x,y,z * (u \ (u \ w))) = L(x,y,z * L(w,u,u)). [para(757978(a,2),85799(a,2,3,2)),rewrite([630951(4),73667(5),356911(9)]),flip(a)]. 763202 a(x,x,y) / x = y / (x * y). [hyper(5142,a,272385,a(flip),b,754364,a),rewrite([724132(2),48(4)])]. 763274 (x / (y * x)) \ a(y,y,x) = y. [hyper(5083,a,272385,a(flip),b,754364,a),rewrite([48(2),724132(4)])]. 763333 (x / (y * x)) * y = a(y,y,x). [hyper(5081,a,272385,a(flip),b,754364,a),rewrite([724132(2),48(3)]),flip(a)]. 763511 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(50(a,1),754364(a,2,2,1))]. 763513 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(51(a,1),754364(a,1,1,2))]. 763960 a(x * L(x,y,z),L(x,y,z),u) * x = ((u * L(x,y,z)) \ (u * x)) * L(x,y,z). [para(91483(a,2),754364(a,2,2,1)),rewrite([313446(4),91483(9),382630(11),459548(12)]),flip(a)]. 765284 R(L(x,y,z) \ u,L(x,y,z),x * L(x,y,z)) = x \ ((L(x,y,z) \ x) * u). [hyper(5083,a,406968,a,b,763513,a(flip)),rewrite([406968(7),503565(7),170349(6),217133(10)]),flip(a)]. 765306 x \ L(y,x,x * L(x,z,u)) = R(x \ y,x,x * L(x,z,u)). [hyper(5083,a,118328,a(flip),b,763513,a(flip)),rewrite([351010(6),217243(8)])]. 765766 x * L(y,x * L(x,z,u),L(x,z,u)) = L(x,z,u) * (y * (L(x,z,u) \ x)). [para(763513(a,1),158354(a,1,2)),rewrite([217133(7),765284(7),170335(6)])]. 767984 L(x,x,x) * (L(x,y,z) * L(1 / x,u,w)) = L(x,y,z) * (x \ L(x,u,w)). [para(310368(a,1),730507(a,1,2,2,1)),rewrite([738290(2),738290(4),475335(5),128570(5),323(11),69933(12)])]. 768519 (x * ((x / y) \ 1)) \ y = (x / y) * (x \ y). [para(340(a,1),743789(a,1,2)),rewrite([340(8)])]. 768662 a(x \ ((y \ x) \ y),z,u) = a((y \ x) * (x \ y),z,u). [para(743789(a,1),96331(a,1,1)),rewrite([739453(6),739436(3),12592(4),12534(4),443752(9),96321(10),96575(10)]),flip(a)]. 768962 L(x \ (y / ((y \ x) \ 1)),z * u,a((y \ x) * (x \ y),z,u)) * x = y / ((y \ x) \ 1). [back_rewrite(722727),rewrite([768662(10)])]. 769614 (x / ((y * y) * z)) * u = (x / z) * ((y * y) \ u). [para(716681(a,1),72092(a,1,1))]. 769630 x / ((L(y,z,u) * L(y \ 1,z,u)) \ w) = (x / w) * (L(y,z,u) * L(y \ 1,z,u)). [para(91529(a,1),716681(a,2,2)),rewrite([379966(6),380355(7),379966(12),380349(13)]),flip(a)]. 769742 x / ((L(y,z,u) * L(y \ 1,z,u)) * w) = (L(y,z,u) * L(y \ 1,z,u)) \ (x / w). [para(216287(a,1),716681(a,1,2)),rewrite([342543(8),64035(7),307667(6),342939(7),64035(11),64035(13),307667(12)]),flip(a)]. 769808 L(x \ L(x,y,z),u,w) \ (v5 / (x * x)) = v5 / L(x * L(x,y,z),u,w). [para(626171(a,1),716681(a,2,2)),rewrite([293077(4),172565(6),25976(11),51(9)])]. 769971 (x * (L(y,z,u) * L(y \ 1,z,u))) / w = (x / w) * (L(y,z,u) * L(y \ 1,z,u)). [back_rewrite(342955),rewrite([769630(14)])]. 770101 ((x / T(y,z)) / x) * T(y,z) = T(((x / y) / x) * y,z). [hyper(5081,a,223843,a,b,749340,a),rewrite([214508(8),216240(8),216269(8),495834(7),750760(9),1039(9),50989(9),13988(13),13927(12),12463(11),24947(11),749552(11)])]. 770151 K(x,x \ y) * a(x,x,y * x) = ((y / x) / y) * x. [para(174(a,1),749340(a,2,1,1)),rewrite([97973(3),959(3),410(4),751549(10)])]. 770301 L(x,y,a(z,z,z * u)) = L(x,y,a(z,z,u)). [para(749340(a,1),83104(a,2,3)),rewrite([5754(4),49(4),12075(6),84993(7),438881(6),438478(7),739580(7)])]. 770370 x * (((y / x) / y) * x) = ((1 / x) * y) \ y. [para(749340(a,1),7753(a,1,2)),rewrite([385017(9),632855(7),61(8),268869(8)])]. 770592 ((x \ (L(a(y,z,u) \ 1,w,v5) \ 1)) / (x \ a(y,z,u))) * a(a(y,z,u),w,v5) = 1. [para(452196(a,1),749340(a,1,2,3)),rewrite([388135(7),452716(7),378058(10),6743(7),382571(5),11(5),454325(9),42(8),49(3),6706(6),388135(6),452716(6)]),flip(a)]. 771266 a(x,y,z \ ((1 / u) \ z)) = a(x,y,z \ (u \ z)). [para(770101(a,1),75452(a,1,3,2)),rewrite([77977(7),13988(6),770370(4),491817(5),25262(11),26536(10),251008(10),679354(9),491089(9),239834(9)])]. 775409 L(x,y,L(L(z \ 1,u,w) * v5,L(z,u,w),L(z,u,w))) = L(x,y,L(z,u,w) \ v5). [para(70578(a,1),758652(a,1,3)),rewrite([83591(9),277391(13)])]. 775430 L(x,y,L((z * u) * L(z * u,w,v5),z,z)) = L(x,y,(z \ u) * L(z \ u,w,v5)). [para(70526(a,1),758652(a,1,3,1)),rewrite([422231(6),305426(13)])]. 775892 T(x \ (y \ (z * T(u,w))),K(u,w)) = K(u,w) * (x \ (y \ (z * u))). [para(97409(a,1),203874(a,2,1,1)),rewrite([9510(2),12023(5),5754(7),5826(9),9510(11),41250(12),562(11)]),flip(a)]. 776295 R(x,y,z) \ (u \ ((u * w) * T(x,w))) = (u \ ((u * w) * x)) / R(x,y,z). [back_rewrite(635000),rewrite([775892(8),635013(7)]),flip(a)]. 776371 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(295,a,222527,a,b,776295,a),rewrite([6492(3),5(7),410(6),54308(8),50(6),5(7),50(8),298203(6)])]. 776625 L(R(x,y,z),u,w) \ (L(x,u,w) * v5) = L(x,u,w) * (L(R(x,y,z),u,w) \ v5). [para(638196(a,1),776295(a,2,1,2)),rewrite([63(2),60(7),638434(8),2195(7),50(8),50(11),63(9),298213(10)])]. 776718 (x * (R(x,y,z) \ a(x,y,z))) \ 1 = a(x,y,z) \ (x \ R(x,y,z)). [back_rewrite(307411),rewrite([776371(4)])]. 776723 (x * (R(x,y,z) \ u)) \ (x * u) = R(T(x,u),y,z). [back_rewrite(298520),rewrite([776371(3)])]. 776732 R(R(x,y,z),u,w) * (R(x,y,z) \ x) = x * (R(x,y,z) \ R(R(x,y,z),u,w)). [back_rewrite(283855),rewrite([776371(5)]),flip(a)]. 776882 R(x,y,z) * R(R(x,y,z) \ K(u,w),v5,v6) = K(u,w) * (R(x,y,z) \ R(R(x,y,z),v5,v6)). [para(776732(a,2),30215(a,1,1)),rewrite([776732(5),287528(12),323(10),408(9),231319(8),257648(6),273818(6)])]. 776887 R(x,y,z) * R(R(x,y,z) \ K(u,x),w,v5) = R(T(x,u),y,z) \ R(R(x,y,z),w,v5). [para(776732(a,2),39887(a,1,1,2)),rewrite([776732(5),424275(6),323(3),49(2),11209(6),409085(15),323(12),48(11),273818(11)]),flip(a)]. 777030 (L(x,y,z) * (L(R(x,u,w),y,z) \ v5)) \ (L(x,y,z) * v5) = L(R(T(x,v5),u,w),y,z). [para(776625(a,1),411(a,1,2)),rewrite([423152(8),447882(7),380648(6),51(4),60(3),61(2),776625(8)]),flip(a)]. 777090 R(x,y,L(R(T(z,u),w,v5),v6,v7)) = R(x,y,L(R(z,w,v5),v6,v7)). [para(776625(a,1),204275(a,1,3,1)),rewrite([777030(8)])]. 777588 (x * y) / (x * (R(x,z,u) \ y)) = R(x,z,u). [hyper(6683,a,776371,a)]. 777620 T(x,y) * (R(T(x,y),z,u) \ w) = x * (R(x,z,u) \ w). [hyper(5081,a,204808,a,b,776371,a),rewrite([217792(4),446964(8),6662(8),776371(8)]),flip(a)]. 777627 (x \ 1) * (R(x \ 1,y,z) \ u) = x * (R(x,y,z) \ u). [hyper(5081,a,69321,a,b,776371,a),rewrite([291310(6),50(2),776371(10)]),flip(a)]. 777683 R(x,y,z) \ ((x \ R(x,y,z)) * u) = x \ L(u,x * R(x,y,z),x). [hyper(5083,a,381,a(flip),b,776371,a(flip)),rewrite([174146(3)]),flip(a)]. 777692 R(T(x,y),z,u) \ (x * w) = x * (R(T(x,y),z,u) \ w). [hyper(5083,a,776371,a(flip),b,8936,a),rewrite([6332(2),5754(5),9138(5),11209(4),61(6)]),flip(a)]. 777703 x * (R(T(x,y),z,u) \ y) = R(x,z,u) \ (y * x). [para(194(a,2),776371(a,2,2)),rewrite([6492(3),410(3),61(5)]),flip(a)]. 777823 x / (R(x,y,z) * R(x,y,z)) = R(x,y,z) \ (R(x,y,z) \ x). [para(67007(a,2),776371(a,2,2)),rewrite([298396(5),67007(9),71999(10)]),flip(a)]. 777860 (R(x,y,z) \ u) / (x * (R(x,y,z) \ u)) = R(1 / x,x,R(x,y,z) \ u). [para(776371(a,2),94500(a,2,2)),rewrite([776371(10)]),flip(a)]. 778051 R(x,y,z) * (R(x,u,w) \ 1) = R(x,u,w) \ R(x,y,z). [para(776371(a,1),282303(a,1,2,1)),rewrite([71999(7),777823(5),280576(7)]),flip(a)]. 778064 (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) \ 1 = L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)). [para(776371(a,1),306629(a,1,1)),rewrite([307395(14)])]. 778095 R(x \ 1,y,z) \ (x \ L(x \ R(x,u,w),v5,v6)) = x * (R(x,y,z) \ L(x \ R(x,u,w),v5,v6)). [para(335537(a,1),776371(a,1,2)),rewrite([777627(18)])]. 778098 (R(x,y,z) \ x) * a(a(u,w,v5),v6,v7) = x * (R(x,y,z) \ a(a(u,w,v5),v6,v7)). [para(66271(a,2),776371(a,2,2)),rewrite([70966(5),66271(11)])]. 778389 R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)) = x * (R(x,y,z) \ L(x \ R(x,y,z),u,w)). [back_rewrite(338022),rewrite([778095(8)]),flip(a)]. 778390 (x \ R(x,y,z)) \ a(a(x,y,z),u,w) = x * (R(x,y,z) \ a(a(x,y,z),u,w)). [back_rewrite(502953),rewrite([778098(10)])]. 778424 L(L(x * (R(x,y,z) \ L(x \ R(x,y,z),u,w)),v5,v6),x,y * z) = a(a(x,y,z),u,w). [back_rewrite(625352),rewrite([778389(6)])]. 778430 a(x,y,z) * (R(x,y,z) \ x) = x * (R(x,y,z) \ a(x,y,z)). [back_rewrite(358508),rewrite([778389(7),256868(5)]),flip(a)]. 778431 (R(x,y,z) \ x) * L(x \ R(x,y,z),u,w) = x * (R(x,y,z) \ L(x \ R(x,y,z),u,w)). [back_rewrite(358473),rewrite([778389(12)])]. 778432 L(x \ R(x,y,z),u,w) \ (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) = R(x,y,z) \ x. [back_rewrite(358389),rewrite([778389(9)])]. 778433 (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) * (R(x,y,z) \ x) = L(R(x,y,z) \ x,u,w). [back_rewrite(358375),rewrite([778389(6)])]. 778438 (x \ R(x,y,z)) \ (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) = L(R(x,y,z) \ x,u,w). [back_rewrite(358255),rewrite([778389(8)])]. 778442 (x \ R(x,y,z)) * (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) = L(x \ R(x,y,z),u,w). [back_rewrite(345396),rewrite([778389(8)])]. 778445 (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) * (x \ R(x,y,z)) = L(x \ R(x,y,z),u,w). [back_rewrite(305508),rewrite([778389(6)])]. 778458 R(x,y,z) * (x \ R(R(x,y,z) \ x,x,y * z)) = x * (R(x,y,z) \ a(x,y,z)). [back_rewrite(719355),rewrite([778430(11)])]. 778489 L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = L(x * (R(x,y,z) \ a(x,y,z)),u,w) \ 1. [back_rewrite(358502),rewrite([778430(10)])]. 778503 L(x * (R(x,y,z) \ L(x \ R(x,y,z),u,w)),v5,v6) = a(a(x,y,z),u,w). [hyper(295,a,635733,a,b,778424,a),rewrite([778424(10),45(4),49(2),50(9)])]. 778508 a(a(x,y,R(y,z,u)),w,v5) = a(a(x,y,L(y,z,u)),w,v5). [para(11009(a,1),778424(a,1,3)),rewrite([215709(2),401772(2),215709(4),401772(4),778503(9),453188(6),297886(5)]),flip(a)]. 778509 a(a(x,R(y,z,u),w),v5,v6) = a(a(x,L(y,z,u),w),v5,v6). [para(14826(a,1),778424(a,2,1)),rewrite([215709(3),204558(3),215709(5),204558(5),778503(9),84989(7),5530(6)]),flip(a)]. 778511 L(L(x * (R(x,y,z) \ (u \ ((u / x) * R(x,y,z)))),w,v5),x,y * z) = a(a(x,y,z),x,u). [para(382(a,1),778424(a,1,1,1,2,2)),rewrite([491520(5)])]. 778534 a(a(x,y,z),x,u * x) = a(a(x,y,z),x,u). [para(60488(a,1),778424(a,1,1,1,2,2)),rewrite([778511(10),413120(5)]),flip(a)]. 778548 a(L(x * L(x,R(x,y,z),u),y,z),w,v5) = a(a(R(x,y,z),L(x,y,z),u),w,v5). [back_rewrite(740006),rewrite([778509(9)])]. 779054 (x * (R(x,y,z) \ L(x \ R(x,y,z),u,w))) \ a(a(x,y,z),u,w) = 1. [hyper(7049,a,381171,a,b,778389,a),rewrite([778389(6),778503(25),7733(21),28826(22),778503(19)])]. 779057 a(x,x,y * (R(y,z,u) \ L(y \ R(y,z,u),w,v5))) = 1. [hyper(7049,a,85122,a,b,778389,a),rewrite([778389(6),778503(13),626380(17),779054(9),48(9)])]. 779066 x * (R(x,y,z) \ L(x \ R(x,y,z),u,w)) = a(a(x,y,z),u,w). [hyper(5142,a,778389,a,b,85122,a),rewrite([778389(6),779057(13),336(8),778503(13)])]. 779077 R(x,y,z) \ L(x \ R(x,y,z),u,w) = x \ a(a(x,y,z),u,w). [hyper(5142,a,778389,a,b,410,a),rewrite([778389(6),779066(6),381611(8),63590(6),323(5),413837(6)]),flip(a)]. 779198 R(x,y,z) * L(R(x,y,z) \ x,u,w) = x * a(a(x,y,z),u,w). [para(778389(a,1),62761(a,1,2)),rewrite([779077(5),51(4)]),flip(a)]. 779210 L(x,y,L(z \ L(R(z,u,w) \ z,v5,v6),L(z,u,w),L(z,u,w))) = L(x,y,L(z,u,w)). [para(778389(a,1),85526(a,1,3,1)),rewrite([779077(5),51(4),301319(4),209136(5),85920(5),209136(9),215915(10)]),flip(a)]. 779316 R(x * a(a(x,y,z),u,w),y,z) = x * L(x \ R(x,y,z),u,w). [para(778389(a,2),409886(a,1,2,2,2)),rewrite([778389(10),779077(9),51(8),70(7),49(5),305304(11),776371(11),779077(10),51(9),387577(8)]),flip(a)]. 779399 a(a(x,y,z),u,w) * (x \ R(x,y,z)) = L(x \ R(x,y,z),u,w). [back_rewrite(778445),rewrite([779077(5),51(4)])]. 779400 x * R(x \ a(a(x,y,z),u,w),y,z) = L(x \ R(x,y,z),u,w). [back_rewrite(778442),rewrite([779077(7),51(6),301724(5)])]. 779403 x * (R(x,y,z) \ a(a(x,y,z),u,w)) = L(R(x,y,z) \ x,u,w). [back_rewrite(778438),rewrite([779077(7),51(6),778390(5)])]. 779407 a(a(x,y,z),u,w) * (R(x,y,z) \ x) = L(R(x,y,z) \ x,u,w). [back_rewrite(778433),rewrite([779077(5),51(4)])]. 779408 L(x \ R(x,y,z),u,w) \ a(a(x,y,z),u,w) = R(x,y,z) \ x. [back_rewrite(778432),rewrite([779077(8),51(7)])]. 779409 (R(x,y,z) \ x) * L(x \ R(x,y,z),u,w) = a(a(x,y,z),u,w). [back_rewrite(778431),rewrite([779077(11),51(10)])]. 779416 L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)) = a(w,u,a(x,y,z)). [back_rewrite(778064),rewrite([779077(5),51(4),388135(4),49(4)]),flip(a)]. 779434 L(R(x,y,z) \ x,u,w) \ (R(x,y,z) \ x) = a(w,u,a(x,y,z)). [back_rewrite(307395),rewrite([779416(12)])]. 780141 T(x,T(y \ (z \ R(z,u,w)),v5)) = T(x,T(y \ 1,v5)). [para(777588(a,1),123129(a,1,2,1,2)),rewrite([571948(5),12438(4),323(1),12438(11),414987(11),128476(11),122622(9),256863(6)]),flip(a)]. 780474 R(1 / x,x,(x \ y) * a(z,u,x)) = R(x \ 1,x,y * a(z,u,x)). [para(626380(a,1),270001(a,1,3))]. 780754 ((x \ y) * R((x \ y) \ z,u,w)) * x = y * R(y \ (z * x),u,w). [para(210715(a,1),203704(a,1,1)),rewrite([51(5),151395(4),14229(12),151395(9),285225(9)]),flip(a)]. 780978 (x * R(x \ (y * z),u,w)) / z = (z \ x) * R((z \ x) \ y,u,w). [hyper(5358,a,780754,a)]. 780982 R(x * y,z,u) / y = y * R(y \ x,z,u). [hyper(5142,a,658826,a,b,780754,a),rewrite([386756(9),7733(9),658826(12),70732(8),7735(7),7735(6),385620(5),49(2),282313(12)])]. 781089 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [para(58(a,1),780754(a,1,1,1)),rewrite([58(3),282267(5),65467(10)]),flip(a)]. 781133 (x * R(x \ y,z,u)) * (x \ w) = w * R(w \ (y * (x \ w)),z,u). [para(411(a,2),780754(a,1,1,1)),rewrite([285406(7)])]. 781288 (x * R(x \ y,z,u)) * (x \ K(w,v5)) = R(y * (x \ K(w,v5)),z,u). [para(69015(a,2),780754(a,1,1,1)),rewrite([69015(5),282324(11),282290(7),324(12),48(12)])]. 781606 (x \ R(x,y,z)) / (u \ 1) = (x / u) \ R(x,y,z). [back_rewrite(508552),rewrite([780978(5),285310(5)]),flip(a)]. 782088 a(R(x * (y \ K(z,u)),w,v5),v6,v7) = a(R(x * y,w,v5),v6,v7). [para(781133(a,2),12077(a,1,1)),rewrite([781288(6),5754(10),32394(10),12631(12),281202(10)])]. 782097 a(x * R(y * (z \ K(u,w)),v5,v6),v7,v8) = a(x * R(y * (z \ 1),v5,v6),v7,v8). [para(781133(a,2),12546(a,1,1,2)),rewrite([781288(6),5754(11),32394(11),12586(14)])]. 782337 a(x * R(y * (z \ 1),u,w),v5,v6) = a(R(z * y,u,w) * x,v5,v6). [para(781133(a,1),47243(a,1,1,2)),rewrite([5754(6),32394(6),6623(8),201843(6),7726(5),31850(4),782097(6),280983(10),51(8)])]. 782386 x * ((L(x,y,z) \ 1) * a(x * L(x,y,z),u,w)) = L(L(x,y,z) \ x,u,w). [para(159097(a,1),781133(a,2,2,1,2)),rewrite([382630(4),459548(5),428744(8),324(13),382630(12),48(13)])]. 783114 (x \ y) * R((x \ y) \ (z / x),u,w) = (y * R(y \ z,u,w)) / x. [hyper(5083,a,781089,a,b,197,a(flip)),rewrite([381028(5),288590(5),409335(4),380915(4),50045(3),381028(7),288590(7),409335(6),380915(6),50045(5),381028(9),288590(9),409335(8),380915(8),50045(7),197(7),5754(8),51061(8),201268(7),9602(6),145936(6),95550(4),62675(6)])]. 783404 (x * (y \ R(y,z,u))) * y = (x * y) * (y \ R(y,z,u)). [para(55(a,1),781089(a,1,2,2,1,2)),rewrite([273816(5),112220(5),65467(9),273520(9)]),flip(a)]. 783556 L(x,y,z) * (u * R(u \ (x * (L(x,y,z) \ u)),w,v5)) = (a(x * L(x,y,z),w,v5) * x) * u. [para(91483(a,2),781089(a,2,1,2,1)),rewrite([162681(4),91483(11),382630(12),459548(13)])]. 783566 (R(x,y,z) * R(x * (R(x,y,z) \ y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(6662(a,1),781089(a,1,2,2,1,2)),rewrite([58(3),6623(4),776371(8)]),flip(a)]. 783763 x * (y * a(x,z,a(u,w,v5))) = L(x,z,a(u,w,v5)) * y. [para(394194(a,1),781089(a,2,1,2,1)),rewrite([158527(4),395197(4),58(4),547(3),382507(3),5528(3),382507(7),5528(7),394232(7)])]. 783919 T(x,x \ 1) \ (y \ R(y,z,u)) = (y \ R(y,z,u)) / x. [back_rewrite(273889),rewrite([783114(7),272385(4)]),flip(a)]. 784003 (L(x,y,a(z,u,w)) * R(y,v5,v6)) \ ((x * R(y,v5,v6)) * a(z,u,w)) = L(a(z,u,w),L(y,v5,v6),x). [hyper(7088,a,783566,a,b,15015,a),rewrite([393579(4),339647(5),384785(3),393579(5),446511(8),380648(7),60(5),547(3),393579(5),393579(9),393579(11),395178(13),395180(14)]),flip(a)]. 784027 L(x,L(y,z,u),a(w,v5,v6)) = L(x,y,a(w,v5,v6)). [hyper(5142,a,783566,a,b,132440,a(flip)),rewrite([393579(2),393579(4),395178(6),395180(7),212781(8),70(3),49(2),393579(3),413436(3),393579(5)])]. 784046 L(x,y,a(z,u,w)) * (a(z,u,w) * R(y,v5,v6)) = (x * R(y,v5,v6)) * a(z,u,w). [hyper(5081,a,132440,a(flip),b,783566,a),rewrite([393579(2),393579(8),393579(10),395178(12),395180(13)])]. 784215 a(R(x * R(y * (z * z),u,w),v5,v6),v7,v8) = a(R(x * R(y,u,w),v5,v6),v7,v8). [para(783566(a,1),280979(a,1,1,1)),rewrite([394(2),280522(3),394(8),394(8),51(8)])]. 784411 L(x,R(y,z,u),a(w,v5,v6)) = L(x,y,a(w,v5,v6)). [back_rewrite(413436),rewrite([784027(6)])]. 784482 L(x,y \ z,a(u,w,v5)) = L(x,z * y,a(u,w,v5)). [hyper(5081,a,28126,a,b,784027,a),rewrite([784027(4),784027(7)])]. 784484 L(x,y * x,a(z,u,w)) = (a(z,u,w) * (y / x)) \ (y * a(z,u,w)). [hyper(5081,a,567568,a(flip),b,784027,a),rewrite([784027(10),784482(9)]),flip(a)]. 784525 L(x,(y \ z) * u,a(w,v5,v6)) = L(x,z * (y * u),a(w,v5,v6)). [para(11892(a,1),784027(a,1,2)),rewrite([784482(4),784482(8)]),flip(a)]. 784538 L(x,(y * z) * u,a(w,v5,v6)) = L(x,z * (y \ u),a(w,v5,v6)). [para(60487(a,1),784027(a,1,2)),rewrite([784482(4),784482(8)])]. 784542 L(x,L(y,z,u) * (y \ w),a(v5,v6,v7)) = L(x,y * (L(y,z,u) * w),a(v5,v6,v7)). [para(159652(a,1),784027(a,1,2)),rewrite([159675(7)]),flip(a)]. 784548 L(x,y * R(y,z,u),a(w,v5,v6)) = x. [para(256868(a,1),784027(a,1,2)),rewrite([400178(3),784482(4),11009(2)]),flip(a)]. 784550 a(x,L(y,z,u),a(w,v5,v6)) = a(x,y,a(w,v5,v6)). [para(784027(a,1),394194(a,1,2)),rewrite([394194(3)]),flip(a)]. 784553 a(a(x,y,z),L(u,w,v5),v6) = a(a(x,y,z),u,v6). [para(784027(a,1),395220(a,1,1)),rewrite([395220(3)]),flip(a)]. 785246 L(x,y * (x * a(z,u,w)),a(z,u,w)) \ y = a(z,u,w) \ (x \ (y * a(z,u,w))). [back_rewrite(597601),rewrite([784525(5)])]. 785302 a(x,a(y,z,L(u,w,v5)),u) = a(x,u,a(y,z,L(u,w,v5))). [back_rewrite(639901),rewrite([784550(4)]),flip(a)]. 785309 a(x,R(y,z,u),a(w,v5,v6)) = a(x,y,a(w,v5,v6)). [back_rewrite(266449),rewrite([784550(6)])]. 785325 a(a(x,y,z),R(u,w,v5),v6) = a(a(x,y,z),u,v6). [back_rewrite(398451),rewrite([784553(6)])]. 785352 L(x,y,z) * (x \ a(z,y,L(x,y,z))) = a(y,x,a(z,y,L(x,y,z))). [back_rewrite(757215),rewrite([785302(8)])]. 785354 (a(x,y,L(z,y,x)) * L(z,y,x)) \ z = a(y,z,a(x,y,L(z,y,x))). [back_rewrite(636579),rewrite([785302(8)])]. 785619 x * (x * ((x * a(y,z,u)) \ 1)) = (a(y,z,u) / x) \ 1. [para(413769(a,1),784484(a,1,2)),rewrite([784482(11),604529(9),400178(10),612154(12),400742(14),389268(15),428355(10),51(10),400742(11),388653(10),629091(8),629134(11)]),flip(a)]. 785674 (a(x,y,z) * (a(u * L(u,w,v5),v6,v7) * v8)) \ (v8 * a(x,y,z)) = a(v7,v6,u * L(u,w,v5)). [para(719697(a,2),784484(a,1,2)),rewrite([719697(7),394423(9),6706(8),644706(8)]),flip(a)]. 785945 a(x,(y \ z) \ u,a(w,v5,v6)) = a(x,z \ (y * u),a(w,v5,v6)). [para(60487(a,1),784550(a,1,2)),flip(a)]. 785946 a(x,y \ z,a(u,w,v5)) = a(x,y * z,a(u,w,v5)). [para(784550(a,2),68852(a,1)),rewrite([784550(6),785945(5),324(3)]),flip(a)]. 785948 a(x,(y * z) * u,a(w,v5,v6)) = a(x,z * (y \ u),a(w,v5,v6)). [para(79608(a,1),784550(a,1,2)),rewrite([14827(6),50(4),785946(4),14827(8),785946(8)])]. 785951 a(x,y * R(y,z,u),a(w,v5,v6)) = 1. [para(256868(a,1),784550(a,1,2)),rewrite([399531(3),785946(5)]),flip(a)]. 785953 a(x,y * (z \ y),a(u,w,v5)) = a(x,z,a(u,w,v5)). [para(402396(a,1),784550(a,1,2)),rewrite([785946(4),14887(4),14827(8),785946(8),49(6)])]. 785983 a(x,(y \ z) * u,a(w,v5,v6)) = a(x,z * (y * u),a(w,v5,v6)). [back_rewrite(785945),rewrite([785946(4),785946(8)])]. 786068 a(a(x,y,z),u \ w,v5) = a(a(x,y,z),w * u,v5). [hyper(295,a,398680,a(flip),b,785983,a),rewrite([610269(8)])]. 786070 a(x,y * (z * (T(u,w) \ v5)),a(v6,v7,v8)) = a(x,v5 * (u * (z \ y)),a(v6,v7,v8)). [hyper(295,a,47597,a(flip),b,785983,a),rewrite([785983(5)]),flip(a)]. 786172 a(x,y * (z * (u \ K(w,v5))),a(v6,v7,v8)) = a(x,y * (z * u),a(v6,v7,v8)). [para(108977(a,2),785983(a,2,2,2)),rewrite([5754(2),7724(5),786070(7),108977(11),786070(13),5754(8),30515(12)])]. 786382 a(x,y * (R(y,z,u) * w),a(v5,v6,v7)) = a(x,w * (y * R(y,z,u)),a(v5,v6,v7)). [para(635075(a,1),785983(a,2,2,2)),rewrite([13972(7),785946(5),785983(5),786172(12)])]. 786546 L(x,y * (z * (u * a(w,a(v5,v6,v7),v8))),a(v9,v10,v11)) = L(x,y * (z * u),a(v9,v10,v11)). [para(7734(a,1),784525(a,2,2,2)),rewrite([170202(7),784482(4)]),flip(a)]. 786737 L(x,y * (L(L(a(z,u,w),v5,v6),v7,v8) \ v9),a(v10,v11,v12)) = L(x,y * (v9 * a(z,u,w)),a(v10,v11,v12)). [para(420921(a,1),784525(a,1,2)),rewrite([784482(9),694871(9),643916(7),784525(5),420921(13),277315(14)]),flip(a)]. 786789 L(x,y * (z \ ((z * a(u,z,L(y,z,u))) * w)),a(v5,v6,v7)) = L(x,L(y,z,u) * w,a(v5,v6,v7)). [para(635733(a,1),784525(a,1,2,1)),rewrite([784538(12)]),flip(a)]. 786803 L(x,y * (L(a(z,u,w),v5,v6) * v7),a(v8,v9,v10)) = L(x,y * (v7 * a(z,u,w)),a(v8,v9,v10)). [para(643643(a,1),784525(a,2,2,2)),rewrite([21239(9),784525(6),277315(15),786737(13)])]. 786834 L(x,y * (z * a(u,u,y)),a(w,v5,v6)) = L(x,y * L(z,u,u),a(w,v5,v6)). [para(757978(a,1),784525(a,1,2,1)),rewrite([784538(5),443999(5),784525(12),22934(9)])]. 786955 L(x,y * a(z,u,y),a(w,v5,v6)) = L(x,y,a(w,v5,v6)). [para(388615(a,1),784482(a,1,2)),rewrite([784027(3),784538(10),54(7)]),flip(a)]. 787000 x * a(y,a(z,u,y),x) = L(x,y,a(z,u,y)). [back_rewrite(652307),rewrite([786955(4)]),flip(a)]. 787009 a(x,y,z) * L(u,z,a(x,y,z)) = z \ ((z * a(x,y,z)) * u). [back_rewrite(598300),rewrite([787000(4)])]. 787095 x * L(a(y,z,u),w \ v5,v6) = x * L(a(y,z,u),v5 * w,v6). [para(786068(a,1),398604(a,1,1)),rewrite([398604(6)]),flip(a)]. 787097 L(a(x,y,z) \ 1,u \ w,v5) = L(a(x,y,z) \ 1,w * u,v5). [para(786068(a,1),398601(a,1,2)),rewrite([398601(5)]),flip(a)]. 787128 x * L(a(y,z,u),x * w,w) = w * ((w \ x) * a(y,z,u)). [para(786068(a,1),598731(a,1,2,2)),rewrite([383745(6),385515(8)])]. 787296 L(a(x,y,z),u \ w,v5) = L(a(x,y,z),w * u,v5). [hyper(6641,a,787095,a),rewrite([409(7)]),flip(a)]. 787790 x * (y * (z * a(x,u,a(w,v5,v6)))) = L(x,u,a(w,v5,v6)) * (y * z). [hyper(5142,a,783763,a,b,694814,a),rewrite([7735(5),339647(10),243810(9),695354(6),7735(5),7735(4)])]. 787830 (x \ y) * a(x * y,z,a(u,w,v5)) = L(x \ y,z,a(u,w,v5)). [hyper(5142,a,783763,a,b,457774,a(flip)),rewrite([395104(12),46639(12),69234(11),69237(10),17628(7),337(3)])]. 787863 (x * x) * (y * a(z,u,a(w,v5,v6))) = x * ((a(a(w,v5,v6),u,z) / x) \ y). [hyper(5083,a,291416,a,b,783763,a),rewrite([291416(7),158527(8),231281(4),5(8),395197(7),395105(4),389084(5),395105(10),7735(10)]),flip(a)]. 788144 x \ L(L(x,y,a(z,u,w)),y,a(z,u,w)) = a(x,y,a(z,u,w)) * a(x,y,a(z,u,w)). [hyper(7088,a,783763,a(flip),b,33584,a),rewrite([12463(3),12463(5),12463(8),12463(10),385927(12),385118(9),51587(7),394690(6),12463(8),12463(10),385927(12),385118(9),12463(12),17022(12),385056(10),394232(9),60(9),149204(12)]),flip(a)]. 788352 (x * L(L(x,y,a(z,u,w)),y,a(z,u,w))) \ L(x,y,a(z,u,w)) = 1 / L(x,y,a(z,u,w)). [para(783763(a,2),22924(a,1,1)),rewrite([17022(5),394386(3)])]. 788356 (L(x,y,a(z,u,w)) * v5) \ ((x * v5) * v6) = v6 * a(a(z,u,w),y,x). [para(783763(a,1),25021(a,2,1)),rewrite([5528(3),386756(3),5528(6),5531(7)]),flip(a)]. 788378 a(x * (L(y,z,a(u,w,v5)) * v6),v7,v8) = a((y * v6) * x,v7,v8). [para(783763(a,1),46819(a,2,1,2)),rewrite([7729(4),395304(4),394202(5)]),flip(a)]. 788437 L(x,y,a(z,u,w)) / (x * L(L(x,y,a(z,u,w)),y,a(z,u,w))) = L(x,y,a(z,u,w)) \ 1. [para(783763(a,2),61746(a,1,2)),rewrite([17022(7),394386(5)])]. 788477 a(x,y,(L(z,u,a(w,v5,v6)) * v7) * v8) = a(x,y,(z * v7) * v8). [para(783763(a,1),73040(a,2,3,1)),rewrite([69927(6),135960(6)]),flip(a)]. 788480 a(x,y,(z * u) * L(w,v5,a(v6,v7,v8))) = a(x,y,(z * u) * w). [para(783763(a,2),135952(a,1,3)),rewrite([7735(6),69927(6),136113(6)]),flip(a)]. 788481 a(x,y,z * (u * L(w,v5,a(v6,v7,v8)))) = a(x,y,(w * u) * z). [para(783763(a,1),136137(a,1,3,1)),rewrite([788477(5),7732(7),394386(6)]),flip(a)]. 788484 a(x,y,L(z,u,a(w,v5,v6)) * (v7 * v8)) = a(x,y,(v8 * v7) * z). [para(783763(a,2),136137(a,2,3)),rewrite([788480(5),7735(7),787790(8)]),flip(a)]. 788509 L(x,y * a(z,u,w),a(z,u,w)) * v5 = x * (v5 * a(a(z,u,w),y,x)). [para(381(a,2),783763(a,2,1)),rewrite([785946(4),398069(4),381(10),784482(8)]),flip(a)]. 788534 a(x,y,a(z,u,w)) * ((v5 * v6) * T(x,v6)) = R(v5,v6,x) * (L(x,y,a(z,u,w)) * v6). [para(783763(a,1),203704(a,1,2)),rewrite([396536(4),385118(13),8319(11)]),flip(a)]. 788609 L(x * (a(a(y,z,u),w,x) * a(a(y,z,u),w,x)),w,a(y,z,u)) = x * a(a(y,z,u),w,x). [para(355479(a,1),783763(a,1,2)),rewrite([5528(3),386756(4),48(4),5528(11),6706(11),386756(11),48(11),386756(10),25958(11)]),flip(a)]. 788753 L(x,y,L(z,u,a(w,v5,v6)) * v7) = L(x,y,v7 * z). [para(783763(a,1),301373(a,2,3)),rewrite([395304(4),413219(4)]),flip(a)]. 788754 L(x,y,a(z,u,w) * (v5 * L(v6,v7,a(v8,v9,v10)))) = L(x,y,a(z,u,w) * (v5 * v6)). [para(783763(a,2),301373(a,2,3)),rewrite([7735(11),787790(12),788753(12),83339(10)])]. 788756 L(x,y,z * (L(u,w,a(v5,v6,v7)) * v8)) = L(x,y,z * (u * v8)). [para(783763(a,1),85799(a,2,3,2)),rewrite([388186(5),85459(8),85799(5)]),flip(a)]. 788781 a(x * (L(y,z,a(u,w,v5)) \ v6),v7,v8) = a(x * (y \ v6),v7,v8). [para(783763(a,1),758229(a,1,1,2,1)),rewrite([759083(6),16922(9),12541(11)])]. 788782 a(x \ (L(y,z,a(u,w,v5)) \ v6),v7,v8) = a(x \ (y \ v6),v7,v8). [para(783763(a,1),758917(a,1,1,2,1)),rewrite([759452(6),16922(9),16922(10),12346(11)])]. 788800 L(x,y * (L(z,u,a(w,v5,v6)) * v7),a(v8,v9,v10)) = L(x,y * (z * v7),a(v8,v9,v10)). [para(783763(a,1),784525(a,2,2,2)),rewrite([21255(7),784525(4)]),flip(a)]. 788840 L(a(x,y,z),L(u,w,v5),v6) = L(a(x,y,z),u,v6). [back_rewrite(784003),rewrite([788356(9),383788(4)]),flip(a)]. 788841 a(x * ((a(y,z,u) * ((1 / w) \ a(y,z,u))) * v5),v6,v7) = a((w * v5) * x,v6,v7). [back_rewrite(444187),rewrite([788378(5)]),flip(a)]. 788863 L(x,y,a(z,u,w) * L(v5,v6,v6)) = L(x,y,L(v5 * a(z,u,w),v6,v6)). [back_rewrite(399816),rewrite([788754(7),701507(5)])]. 789035 R(x,y,z) * (L(z,u,a(w,v5,v6)) * y) = (x * y) * L(T(z,y),u,a(w,v5,v6)). [hyper(295,a,60485,a,b,788534,a),rewrite([5534(13),17629(8),337(5),7735(6),385017(5),394232(4),60(4)]),flip(a)]. 789049 R(x,y,L(z,u,a(w,v5,v6))) = R(x,y,z). [hyper(5358,a,788534,a(flip)),rewrite([788534(6),789035(5),204299(9)])]. 789672 x * (R(x,y,z) \ (u * (x \ R(x,y,z)))) = R(u,x,x * R(x,y,z)). [hyper(5142,a,783404,a,b,205680,a),rewrite([169853(4),169853(10),8515(9),201268(8),168(7),298203(8),777620(8),169853(10),214794(9)])]. 789689 L(x,y,x * R(x,z,u)) = x. [hyper(5083,a,159058,a,b,783404,a),rewrite([174165(9),268595(9),287528(10),323(8),408(9),143267(8),370440(3),323(1),15(2),48(2),174165(3)])]. 789744 (x * (y \ R(y,z,u))) * (y \ 1) = (x * y) * (y \ R(y \ 1,z,u)). [hyper(5081,a,72702,a,b,783404,a),rewrite([272488(8),324(5),48(5),272428(5),272488(12),324(9),48(9)]),flip(a)]. 789755 R(x,y,y * R(y,z,u)) * R(y,z,u) = (x * y) * (y \ R(y,z,u)). [hyper(5081,a,401,a,b,783404,a),rewrite([214794(3),51(6),783404(9)])]. 789923 (x \ a(y,z,a(u,w,v5))) * (x \ R(x,v6,v7)) = R(x \ a(y,z,a(u,w,v5)),v6,v7). [para(12981(a,1),783404(a,2,1)),rewrite([272488(8),324(5),48(5),789744(8),7729(8),51(7),70732(6),12999(5),272488(13),324(10),48(10)]),flip(a)]. 789962 L(x,y * (z \ R(z,u,w)),v5) = L(x,y * (z * R(z,u,w)),v5). [para(783404(a,2),25672(a,1,2,2)),rewrite([51(3),11009(2)]),flip(a)]. 789997 a(x * ((y * z) * (z \ R(z,u,w))),v5,v6) = a(x * (z * ((z \ R(z,u,w)) * y)),v5,v6). [para(783404(a,1),46819(a,1,1,2))]. 790364 (x * L(a(y,z,u),w,v5)) \ (x * L(a(y,z,u),v6,v7)) = a(v5,w,a(y,z,u)) * a(a(y,z,u),v6,v7). [para(783404(a,2),658826(a,1,2)),rewrite([382507(6),382653(7),394568(8),398604(8),382507(12),382653(13)])]. 790626 ((x \ a(y,z,a(u,w,v5))) * v6) \ R(x \ a(y,z,a(u,w,v5)),v7,v8) = (x * v6) \ R(x,v7,v8). [para(789923(a,1),382(a,2,2)),rewrite([612199(7),12121(7),11892(4)]),flip(a)]. 790661 R(x,y,R(z \ a(u,w,a(v5,v6,v7)),v8,v9)) = R(x,y,R(z \ 1,v8,v9)). [para(789923(a,1),217015(a,2,3)),rewrite([387456(5),338911(9),234285(5),323(3),49(4)]),flip(a)]. 790683 R(a(x,y,a(z,u,w)) * a(v5,v6,v7),v8,v9) = L(a(x,y,a(z,u,w)) * a(v5,v6,v7),v8,v9). [para(397087(a,1),789923(a,1,1)),rewrite([398795(11),304101(12),324(9),48(9),382653(8),7733(7),383788(6),17060(5),397087(11)]),flip(a)]. 790700 R(x \ a(y,z,a(u,w,v5)),v6,v7) * ((x \ a(y,z,a(u,w,v5))) \ v8) = R(x,v6,v7) * (x \ v8). [para(789923(a,1),593521(a,1,2,1)),rewrite([62852(9),135845(18),440389(18),13787(18),399904(16),596844(16)])]. 790707 a(x,y,L(y * R(y,z,u),y,x)) = (y * L(y \ R(y,z,u),y,x)) \ R(y,z,u). [para(789923(a,1),593601(a,2,2)),rewrite([441836(9),21156(9),398893(7),12385(7),608895(4),441836(13),21156(13),790626(16)])]. 790710 x * ((y \ R(y,z,u)) * a(y,y * R(y,z,u),x)) = R(y,z,u) * (y \ x). [para(789923(a,1),626475(a,1,2,1)),rewrite([287528(10),323(8),408(9),62852(9),790700(9),135845(11),440389(11),13787(11)]),flip(a)]. 790712 (x * a(y,x,L(x * R(x,z,u),x,y))) \ R(x,z,u) = L(x \ R(x,z,u),x,y). [para(789923(a,1),635733(a,1,2)),rewrite([441836(12),21156(12),398893(10),12385(10),608895(7),790626(13),441836(13),21156(13)])]. 790827 (x \ ((a(y,z,u) \ x) * (w \ v5))) * a(y,z,u) = (w \ v5) * a(x,a(y,z,u),w * v5). [para(787097(a,1),594514(a,1,1)),rewrite([50864(9),399012(7),5535(8),397148(7),397087(9),50864(13),399012(11)])]. 790946 L(x,y * (z \ (z \ u)),a(w,v5,v6)) = L(x,L(y,z,z) * u,a(w,v5,v6)). [para(120583(a,1),784538(a,1,2,1)),rewrite([27440(4),26562(6),694248(11),694274(11),784538(9)]),flip(a)]. 791072 L(x,y * (z \ ((z * a(u,w,v5)) * v6)),a(v7,v8,v9)) = L(x,y * (v6 * a(u,w,v5)),a(v7,v8,v9)). [para(595014(a,1),784538(a,2,2,2)),rewrite([784538(7),786546(15)])]. 791214 L(x,y * (z * a(u,w,L(y,w,u))),a(v5,v6,v7)) = L(x,L(y,w,u) * z,a(v5,v6,v7)). [back_rewrite(786789),rewrite([791072(8)])]. 791833 R(R(x,y,R(z,u,w)),v5,v6) * (y * R(T(z,v7),u,w)) = (R(x,v5,v6) * y) * R(T(z,v7),u,w). [para(61(a,1),205231(a,1,2,2)),rewrite([61(11)])]. 792469 (R(x,y,z) * u) * R(T(w,x * u),v5,v6) = R(w,v5,v6) * (R(x,y,z) * u). [hyper(5081,a,6623,a(flip),b,101930,a),rewrite([446086(7),204271(8),446086(10),791833(12)]),flip(a)]. 792499 L(a(x,y,z),u,L(w,v5,v6)) = L(a(x,y,z),u,w). [hyper(7088,a,101930,a(flip),b,15015,a),rewrite([393579(3),63(4),339647(5),209136(3),393579(5),63(6),380648(8),446086(6),60(5),547(3),393579(5),63(6),788356(12),453270(7),383788(7)])]. 793077 L(a(x,y,z),u,w \ v5) = L(a(x,y,z),u,w * v5). [hyper(295,a,758652,a(flip),b,792499,a)]. 793093 L(a(x,y,z),u,(w * v5) * v6) = L(a(x,y,z),u,v5 * (w \ v6)). [para(11892(a,1),792499(a,1,3)),rewrite([793077(4),793077(8)])]. 793238 a(L(x,y,z \ u),w,w) = a(L(x,y,z * u),w,w). [hyper(5081,a,272898,a(flip),b,793077,a),rewrite([272898(6)]),flip(a)]. 794597 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [para(51(a,1),17843(a,1,1,2)),rewrite([51(6)])]. 794611 (x * ((y * z) / y)) \ (T(y,z) * z) = (x * T(z,y)) \ (z * y). [para(203(a,2),17843(a,2,2)),rewrite([183821(5),204273(7),50(6),225466(5)]),flip(a)]. 794616 (x * y) \ ((x * T(z,u)) * y) = T((x * y) \ ((x * z) * y),u). [para(223(a,1),17843(a,1,1,1)),rewrite([318195(6)]),flip(a)]. 795073 (x * y) \ ((x * (z \ R(z,u,w))) * y) = R(z \ R(z,u,w),x,y). [para(257648(a,1),17843(a,1,1,1)),rewrite([152866(4)]),flip(a)]. 795074 (x \ R(x,y,z)) \ (u * R(x \ 1,y,z)) = R(u / x,x,L(x,y,z)). [para(272385(a,1),17843(a,1,1,2)),rewrite([287528(4),323(2),408(3),401754(5),272385(7)]),flip(a)]. 795591 R(R(x \ R(x,y,z),u,w),L(x,u,w),y * z) = a(L(x,u,w),y,z). [back_rewrite(719509),rewrite([795073(6)])]. 795812 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(410(a,1),794616(a,1,2,1)),rewrite([6713(4)]),flip(a)]. 796311 L(x,a(y,z,u),w * ((v5 * v6) \ (v5 * w))) = L(x,a(y,z,u),v6). [para(794616(a,1),635963(a,1,3)),rewrite([25262(7),209608(6),635974(3),599303(9),682578(8)]),flip(a)]. 796320 a(R(x,y,z),u,w) = a(L(x,y,z),u,w). [para(794616(a,1),719234(a,1,2)),rewrite([65467(11),781089(11),65467(8),323(4),272385(7),169853(5),795073(6),204513(10),216004(9),795591(6),794616(7),12463(8),133839(7)]),flip(a)]. 796476 L(x,a(y,z,u),w * a(v5,w,v6)) = L(x,a(y,z,u),w). [back_rewrite(682790),rewrite([796311(10)])]. 796505 a(L(x * R(y * (z * z),u,w),v5,v6),v7,v8) = a(L(x * R(y,u,w),v5,v6),v7,v8). [back_rewrite(784215),rewrite([796320(6),796320(10)])]. 796509 a(L(x * (y \ K(z,u)),w,v5),v6,v7) = a(L(x * y,w,v5),v6,v7). [back_rewrite(782088),rewrite([796320(5),796320(8)])]. 796548 a(L(x * L(x,R(x,y,z),u),y,z),w,v5) = a(a(L(x,y,z),L(x,y,z),u),w,v5). [back_rewrite(778548),rewrite([796320(8)])]. 796762 a(L(x \ y,x,z),u,w) = a((x * z) \ (y * z),u,w). [back_rewrite(756982),rewrite([796320(6),356206(6),356206(5),356206(4)])]. 796819 a(((a(x,y,z) \ u) * w) \ ((u * (a(x,y,z) \ v5)) * w),v6,v7) = a(L(v5,a(x,y,z) * u,w),v6,v7). [back_rewrite(756879),rewrite([796320(13),394477(12)])]. 796865 a((x * L(x,y,z)) \ (u * (x * (L(x,y,z) \ x))),w,v5) = a(L(x \ u,x,L(x,y,z)),w,v5). [back_rewrite(756804),rewrite([796320(12)])]. 797009 a((x * L(x,y,z)) \ (u * L(x \ 1,y,z)),w,v5) = a(L(x \ u,x,L(x,y,z)),w,v5). [back_rewrite(756562),rewrite([796320(12)])]. 797021 a(L(x \ y,x,z),u,w) = a((z * x) \ (y * z),u,w). [back_rewrite(756541),rewrite([796320(4),356206(4)])]. 797094 a(L(x \ y,x,z),u,w) = a((x * z) \ (z * y),u,w). [back_rewrite(756422),rewrite([796320(5),356206(5)])]. 797515 a(L(a(x,y,z) \ u,w,v5),v6,v7) = a(L(u * a(x,y,z),w,v5),v6,v7). [back_rewrite(433233),rewrite([796320(8),356208(8),796509(6),796320(8)]),flip(a)]. 797660 a(L(x,R(y,z,u),L(y,z,u)),w,v5) = a(L(x,L(y,z,u),L(y,z,u)),w,v5). [back_rewrite(215818),rewrite([796320(4),209136(3)]),flip(a)]. 797684 a((x * y) \ ((x * z) * y),u,w) = a(L(z,x,y),u,w). [back_rewrite(133839),rewrite([796320(7)])]. 797695 a(L(x,y,z),y,z) * ((x * y) * z) = (R(x,y,z) * y) * z. [back_rewrite(101953),rewrite([796320(2)])]. 797702 a(x,R(x,y,z),u) = a(x,L(x,y,z),u). [back_rewrite(63215),rewrite([796320(2),150511(2)]),flip(a)]. 797724 L(L(x,a(y,z,L(x,z,y)),z),z,y) = a(y,z,L(x,z,y)) \ x. [back_rewrite(636383),rewrite([796476(6)])]. 797725 a(L(x * R(y,z,u),L(y,z,u),L(y,z,u)),w,v5) = a(R(y,z,u) \ x,w,v5). [back_rewrite(759781),rewrite([797660(8),796505(8)])]. 797930 a(x,((y * z) \ ((y * u) * z)) * w,v5) = a(x,R(u,y,z) * w,v5). [para(795812(a,1),13932(a,1,2,1)),rewrite([14771(5)]),flip(a)]. 798979 (x * L(y,z,u)) / (y * L(y,z,u)) = R(x / y,y,L(y,z,u)). [hyper(5081,a,57,a,b,795074,a),rewrite([53(2),795074(12)])]. 799046 (x \ R(x,y,z)) \ (R(x \ 1,y,z) * a(u,w,v5)) = R(a(u,w,v5) / x,x,L(x,y,z)). [para(1143(a,1),795074(a,1,2))]. 799304 L(x,y,(z * L(z,u,w)) \ (v5 * L(z,u,w))) = L(x,y,L(z \ v5,z,L(z,u,w))). [para(798979(a,1),26402(a,1,3)),rewrite([209136(4),83639(4)]),flip(a)]. 800109 a(x \ y,x,x \ z) = ((y / x) * z) \ (y * (x \ z)). [para(794597(a,1),256868(a,1,1,2)),rewrite([51(10),26536(9),28057(8),658129(8),51(6),12463(9),12554(8)]),flip(a)]. 800112 R(x \ y,x,x * R(x,z,u)) = R(x,z,u) \ (y * (x \ R(x,z,u))). [para(256863(a,2),794597(a,1,3)),rewrite([6492(3),412(2),256863(3),214794(4)])]. 800239 (x / (x \ y)) \ (z * (((y \ x) \ 1) \ 1)) = (x * (y \ x)) \ (z * (y \ x)). [para(437052(a,2),794597(a,2,2,2)),rewrite([415031(4),239766(8),440006(8),17843(6)]),flip(a)]. 800278 T(x / y,y \ 1) \ (z * (x / (x * y))) = (y \ x) \ (z * (x \ (y \ x))). [para(402372(a,1),794597(a,1,3)),rewrite([36711(6),49(4),412(3),204273(6),491475(6),794597(6),402372(14)]),flip(a)]. 800294 L(L(x,y,z) \ x,L(x,y,z),x * (L(x,y,z) \ u)) = (u * x) \ (x * (L(x,y,z) \ (u * x))). [para(504398(a,2),794597(a,2,2)),rewrite([91483(2),91472(4),432191(7),382630(7),504398(12)])]. 800347 R(x / y,y,y * a(z,u,y)) = a(z,u,y) \ (x * (y \ a(z,u,y))). [para(626536(a,2),794597(a,1,3)),rewrite([561(3),626536(5),628083(4)])]. 800703 ((x / y) \ (x * (y \ z))) / z = ((x / y) * z) \ (x * (y \ z)). [hyper(295,a,593079,a,b,800109,a),rewrite([331167(6),51(6)])]. 800726 a(x \ y,x,x * L(x,z,u)) = a(y,x,x * L(x,z,u)). [hyper(295,a,72892,a(flip),b,800109,a),rewrite([670875(11)])]. 800825 ((K(x,y) / y) * z) \ (T(y,x) \ z) = a(y,y,y * z). [para(198(a,2),800109(a,2,1,1)),rewrite([13992(7),13927(6),46610(5),12463(3),724138(2),48(9)]),flip(a)]. 801065 a(x * L(x,y,z),L(x,y,z),L(x,y,z) \ u) = a(L(x,y,z),x * L(x,y,z),u). [para(91483(a,1),800109(a,2,1,1)),rewrite([163148(6),596717(13)])]. 801163 a(x * R(x,y,z),x,x \ u) = a(x,x * R(x,y,z),u). [para(151404(a,2),800109(a,2,2)),rewrite([134340(4),256863(6),151404(12),596734(11)])]. 801575 a(L(x,y,z) \ u,L(x,y,z),x * L(x,y,z)) = a(L(x,y,z),x * L(x,y,z),u) \ 1. [para(461212(a,2),800109(a,2,2)),rewrite([14969(9),165285(8),14785(8),20060(7),163221(10),461212(13),605795(14)])]. 801662 a(L(x,y,z),L(x,y,z),L(x,y,z) * u) = ((K(w,x) / L(x,y,z)) * u) \ (L(T(x,w),y,z) \ u). [para(11208(a,1),800109(a,2,2)),rewrite([46613(7),724138(5)])]. 801968 T(((x / y) * z) \ (x * (y \ z)),u) = ((x / y) * z) \ (x * (y \ z)). [hyper(5081,a,235,a,b,800703,a),rewrite([381028(11),380978(11),340(7),381958(9),323(6),319(7),49(7),800703(11)])]. 802030 ((x / y) * z) \ (x * (y \ z)) = z \ ((x / y) \ (x * (y \ z))). [para(800703(a,1),412(a,1,1)),rewrite([801968(6)])]. 803374 x \ ((y \ R(y,z,u)) \ (R(y,z,u) * (y \ x))) = a(y,y * R(y,z,u),x). [para(151404(a,2),802030(a,1,2)),rewrite([256863(2),151404(8),596734(7),256863(5)]),flip(a)]. 804901 (L(L(a(x,y,z),u,w),v5,v6) * v7) \ (a(x,y,z) * v7) = a(v6,v5,a(x,y,z)) * a(w,u,a(x,y,z)). [para(452669(a,1),754679(a,1,1,1)),rewrite([380648(10),380648(9),385631(8),394690(6),790683(9),15263(9),6174(16),6174(15),561(14)]),flip(a)]. 806567 x / (y \ (a(z,u,w) \ x)) = ((a(z,u,w) \ x) / y) \ x. [para(398900(a,1),504347(a,2,1)),rewrite([398859(7)])]. 807266 a(x,y,y) \ y = L(y,y,x). [hyper(5081,a,407806,a(flip),b,225398,a),rewrite([256863(3),102153(3),382507(5),272898(5),793238(5),697634(4),758865(4),793238(4),281209(4),627831(3)]),flip(a)]. 807327 R(x / y,y,x \ (y \ x)) = x * (y \ 1). [hyper(271,a,743789,a,b,225398,a),flip(a)]. 807349 R(R(x / y,y,x \ z) \ 1,L(y \ x,y,x \ z),z) = (y * (x \ z)) / z. [hyper(5142,a,225398,a(flip),b,268782,a),rewrite([215709(12),214147(12)]),flip(a)]. 807352 R(x / y,y,x \ z) \ T(z,u) = y * (x \ T(z,u)). [hyper(5142,a,225398,a(flip),b,60348,a),rewrite([9510(4),7726(4),95539(3)]),flip(a)]. 807363 x \ ((x / y) / (y \ 1)) = y * (x \ (x / y)). [hyper(5081,a,287722,a,b,225398,a(flip)),rewrite([239766(5),807327(5),718083(5)])]. 807689 R(x,y,z * (u \ (w / v5))) = R(x,y,z * (u \ (v5 \ w))). [para(225398(a,1),239766(a,1,3)),rewrite([239766(8),225398(10)])]. 807814 (x * (y \ (y / x))) \ 1 = (y / x) \ (y * (x \ 1)). [para(225398(a,1),358097(a,1,1)),rewrite([239766(10),807327(10)])]. 807827 (x / y) \ L(x,z,a(u,w,v5)) = y * a(x,z,a(u,w,v5)). [para(394194(a,1),225398(a,1,1,3)),rewrite([393579(4),5534(4),394194(7)])]. 807878 L(x,y * (z \ (u \ 1)),w) = L(x,y * (z \ u),w). [para(225398(a,1),455829(a,1,2)),rewrite([403795(10),225398(9)])]. 807920 R((x / y) / (y \ 1),y,((1 / y) \ x) \ z) \ z = y * ((x / (1 / y)) \ z). [para(407304(a,1),225398(a,1,1,1)),rewrite([216887(9)])]. 807921 R((x / y) / (y \ 1),y,(y \ x) \ z) \ z = (y \ 1) * ((x / y) \ z). [para(407304(a,2),225398(a,1,1,1)),rewrite([407304(4),216887(9),206751(9)])]. 808135 (x * (y \ 1)) \ (x / y) = y * (x \ (x / y)). [back_rewrite(717830),rewrite([807363(10)])]. 808137 (x * (y \ (y / x))) * y = (y / x) / (x \ 1). [back_rewrite(651077),rewrite([807363(5)])]. 809229 ((L(x,y,z) \ x) \ u) \ L(u,w,a(v5,v6,v7)) = a(u,w,a(v5,v6,v7)) * (L(x,y,z) \ x). [hyper(5081,a,461212,a(flip),b,807827,a),rewrite([561(5),561(8),91470(8)]),flip(a)]. 809230 (x * a(y,z,u)) \ L(x,w,a(v5,v6,v7)) = a(y,z,u) \ a(x,w,a(v5,v6,v7)). [hyper(5081,a,397122,a(flip),b,807827,a),rewrite([397417(8)]),flip(a)]. 809365 (L(a(x,y,z) \ 1,u,w) \ v5) \ L(v5,v6,a(v7,v8,v9)) = L(a(x,y,z) \ a(v5,v6,a(v7,v8,v9)),u,w). [para(294925(a,1),807827(a,1,1)),rewrite([17022(15),397148(14)])]. 809523 L(x,x,y) \ x = a(y,x,x). [hyper(6683,a,807266,a),rewrite([91483(2)])]. 809524 a(x,y,y) * L(y,y,x) = y. [hyper(5457,a,807266,a)]. 809528 L(x \ L(x,L(x,y,z),u),y,z) = a(u,L(x,y,z),L(x,y,z)) \ 1. [hyper(5083,a,807266,a,b,307866,a),rewrite([158417(10),70585(8),397070(11),70578(9)]),flip(a)]. 809532 x \ (a(y,x,x) \ 1) = L(x \ 1,x,y). [hyper(5081,a,637046,a,b,807266,a),rewrite([28083(5),637046(5),72770(8),50864(6),646032(7)]),flip(a)]. 809555 x \ (a(y,x,x) \ K(z,u)) = L(x \ K(z,u),x,y). [hyper(5081,a,28115,a(flip),b,807266,a),rewrite([72881(8),50903(6),646032(7)]),flip(a)]. 809574 L(x,x,y) * a(y,x,x) = x. [hyper(7088,a,807266,a(flip),b,397148,a),rewrite([385657(4),408(2),397087(5)]),flip(a)]. 809612 a(x * (y * a(z,y,y)),u,w) = a(x * L(y,y,z),u,w). [para(807266(a,1),68916(a,2,1,2)),rewrite([397087(4)])]. 809614 L(x,y * a(z,y,y),u) = L(x,L(y,y,z),u). [para(807266(a,1),68875(a,2,2)),rewrite([397087(4)])]. 809626 L(x,y,z * a(u,z,z)) = L(x,y,L(z,z,u)). [para(807266(a,1),83147(a,2,3)),rewrite([397087(4)])]. 809627 L(x,y,a(z,u,u) * u) = L(x,y,L(u,u,z)). [para(807266(a,1),83407(a,1,3)),flip(a)]. 809653 L(x,x,y) \ 1 = x \ a(y,x,x). [para(807266(a,2),165661(a,1,2,1)),rewrite([807266(2),809523(2)]),flip(a)]. 809662 L(x,x,y) \ T(x,z) = K(x,z) * a(y,x,x). [para(807266(a,1),175903(a,1,2)),rewrite([175989(3)])]. 809748 L(x,x,y) * (x \ a(z,u,w)) = a(y,x,x) \ a(z,u,w). [para(807266(a,1),431551(a,1,2)),rewrite([458244(4)])]. 809770 L(x \ L(x,R(x,y,z),u),y,z) \ 1 = a(u,R(x,y,z),R(x,y,z)). [para(807266(a,2),306585(a,1,1)),rewrite([807266(5),809523(5)]),flip(a)]. 809773 x * ((x * a(y,x,x)) \ z) = (z / x) * L(x,x,y). [para(807266(a,1),83421(a,2,2,1)),rewrite([809627(6),635974(5),627098(4),628247(4),723914(4),158527(7)])]. 809783 ((x * y) \ x) * a(x,y,y) = y \ 1. [para(807266(a,2),692359(a,1,2,1)),rewrite([807266(4),809523(4)])]. 809787 a(x,y,y) \ a(a(y,y,x),z,u) = L(y \ L(y,y,x),z,u). [para(807266(a,2),459572(a,1,1)),rewrite([807266(2),724368(4),809748(5)])]. 809790 L(x,x,L(y,z,x)) = L(x,x,y). [para(627831(a,1),807266(a,1,1)),rewrite([807266(2)]),flip(a)]. 809849 x * (y \ L(y,y,z)) = a(z,y,y) \ x. [back_rewrite(750449),rewrite([809523(2)]),flip(a)]. 809873 (x * ((y * x) \ y)) \ z = a(y,x,x) * z. [back_rewrite(740063),rewrite([809523(6)])]. 810269 ((x \ (x / y)) \ (1 / y)) \ (a(x,y,y) * z) = z. [back_rewrite(692998),rewrite([809523(7)])]. 810271 (x \ (x / y)) \ (1 / y) = a(x,y,y). [back_rewrite(692982),rewrite([809523(10),809873(10),810269(9)]),flip(a)]. 810324 x * (1 / L(x,x,y)) = a(x * y,x,x). [back_rewrite(692657),rewrite([809790(3),809523(7),738596(6)])]. 810439 (x * a(y * L(x,z,u),x,x)) \ K(y * x,w) = L(x \ K(y * x,w),x,y * L(x,z,u)). [back_rewrite(636553),rewrite([809523(4)])]. 810790 R(x,y,x \ (y \ x)) = R(x,y,y). [back_rewrite(438810),rewrite([809873(4),16569(2)]),flip(a)]. 810796 (x \ L(x,x,y)) \ z = a(y,x,x) * z. [back_rewrite(347418),rewrite([809873(7)])]. 810835 x * ((y * x) \ y) = a(y,x,x) \ 1. [back_rewrite(740133),rewrite([810271(5),397258(3)]),flip(a)]. 811212 R(x,y,L(y,y,x)) = R(x,y,y). [back_rewrite(293038),rewrite([810796(3),16569(2)]),flip(a)]. 811240 ((x * y) \ x) \ ((y \ 1) * L(a(x,y,y) \ 1,z,u)) = a(a(y,y,x),z,u). [back_rewrite(724849),rewrite([810835(7)])]. 811282 a(x,y,L(z * L(z,z,u),w,v5)) = a(x,y,a(u,z,z)). [back_rewrite(626272),rewrite([810835(7),158417(9),272898(6),395235(7)])]. 811292 x * L(a(y,x,x) \ 1,z,u) = x * L(x \ L(x,x,y),z,u). [back_rewrite(502981),rewrite([810835(7)]),flip(a)]. 811337 (x \ (x / y)) * y = a(x,y,y) \ 1. [back_rewrite(438881),rewrite([810835(6)])]. 811485 L(x \ L(x,L(x,y,z),u),y,z) \ u = R(u,L(x,y,z),L(x,y,z)). [back_rewrite(310253),rewrite([811212(5)]),flip(a)]. 811505 a(x,y,a(z,z,u)) * w = w * a(x,y,a(u,z,z)). [back_rewrite(757366),rewrite([811282(4)]),flip(a)]. 811580 a(x,y * R(y,z,u),y * R(y,z,u)) = 1. [para(272623(a,2),809523(a,1,1)),rewrite([174146(3),174146(7),272623(8),779416(8),785951(4),648182(6),402886(6),648182(6)]),flip(a)]. 811585 x * (a(y,x,x) / x) = a(x * y,x,x). [para(809523(a,1),282203(a,1,1,1)),rewrite([809524(3),810324(4),278927(6),809662(7),394659(7)]),flip(a)]. 811662 (x * (R(y,z,u) \ y)) \ x = y \ R(y,z,u). [hyper(7088,a,358097,a(flip),b,809783,a),rewrite([648501(9),273274(9),811580(9),408(6),648501(9),273274(9),811580(9),324(8)])]. 812054 L(x \ R(x,y,z),x * R(x,y,z),u) = x \ R(x,y,z). [back_rewrite(358240),rewrite([811662(9)])]. 812085 (R(x,y,z) \ x) \ u = u * (x \ R(x,y,z)). [back_rewrite(403852),rewrite([812054(5)]),flip(a)]. 812086 (x \ R(x,y,z)) \ u = u * (R(x,y,z) \ x). [back_rewrite(358241),rewrite([812054(5)])]. 812228 R(x * (y \ R(y,z,u)),y \ R(y,z,u),R(y,z,u)) = (x * R(y,z,u)) / y. [back_rewrite(358480),rewrite([812085(3)])]. 812244 L(x,y * (R(z,u,w) \ z),v5) = L(x,y * (z * R(z,u,w)),v5). [back_rewrite(358262),rewrite([812085(3),789962(4),812086(7)]),flip(a)]. 812250 K(x,y) * (z * (x \ R(x,u,w))) = (R(T(x,y),u,w) \ x) \ z. [back_rewrite(287909),rewrite([812085(4)])]. 812253 x / (R(y,z,u) \ y) = x * (y \ R(y,z,u)). [back_rewrite(287688),rewrite([812085(6)])]. 812255 x \ ((R(y,z,u) * (y \ x)) * (R(y,z,u) \ y)) = a(y,y * R(y,z,u),x). [back_rewrite(803374),rewrite([812086(6)])]. 812315 (R(x \ 1,y,z) * a(u,w,v5)) * (R(x,y,z) \ x) = R(a(u,w,v5) / x,x,L(x,y,z)). [back_rewrite(799046),rewrite([812086(8)])]. 812396 L(T(x,x \ 1) \ y,x,L(x,z,u)) = (R(x \ 1,z,u) * y) * (R(x,z,u) \ x). [back_rewrite(658614),rewrite([812086(13)])]. 812653 x / (y \ R(y,z,u)) = x * (R(y,z,u) \ y). [back_rewrite(257666),rewrite([812086(6)])]. 812668 T(x,K(y,z)) * (y \ R(T(y,z),u,w)) = (R(T(y,z),u,w) \ y) \ x. [back_rewrite(268734),rewrite([812250(11)])]. 812750 (x * (y \ (y / (1 / x)))) \ (x * x) = (y / x) \ (y * (x \ 1)). [hyper(295,a,26378,a,b,807814,a),rewrite([49(8),340(14),732534(12)])]. 812795 (x \ y) \ ((y \ x) \ 1) = y \ (x * ((y \ x) \ 1)). [para(337(a,1),807814(a,1,1,2,2)),rewrite([307734(5),337(7)])]. 813045 (x / (x \ y)) \ (x * ((x \ y) \ 1)) = y \ (x * ((y \ x) \ 1)). [para(50367(a,1),807814(a,1,1)),rewrite([6718(5),440213(5),307734(5),812795(5),6718(9),138248(13),2244(10)]),flip(a)]. 813240 (x \ y) \ (1 / (y \ x)) = x \ (y * ((x \ y) \ 1)). [back_rewrite(672360),rewrite([812750(11),813045(7)]),flip(a)]. 813288 ((x \ y) * (y \ x)) \ a((x \ y) * (y \ x),z,u) = L(x \ (y * ((x \ y) \ 1)),z,u). [back_rewrite(682823),rewrite([812795(13)])]. 813319 x / (y \ (z * ((y \ z) \ 1))) = (y \ (z * ((y \ z) \ 1))) \ x. [back_rewrite(623259),rewrite([812795(5),812795(11)])]. 813335 R(x,x \ y,y \ x) = y * ((x \ y) \ 1). [back_rewrite(531346),rewrite([812795(5),51(6)]),flip(a)]. 813339 a(x,y,z) \ (u * ((a(x,y,z) \ u) \ 1)) = a(a(x,y,z) * u,u,a(x,y,z)). [back_rewrite(501091),rewrite([812795(7)])]. 813360 L(x,y \ ((z \ (u * ((z \ u) \ 1))) \ y),w) = L(x,y \ (((z \ u) * (u \ z)) \ y),w). [back_rewrite(492947),rewrite([812795(5)])]. 813362 L((x \ y) * (y \ x),(x \ y) * (y \ x),z) * z = (x \ (y * ((x \ y) \ 1))) \ z. [back_rewrite(487542),rewrite([812795(13)])]. 813369 L((x \ y) * (y \ x),(x \ y) * (y \ x),z) = z / ((x \ (y * ((x \ y) \ 1))) * z). [back_rewrite(444907),rewrite([812795(12)])]. 813379 T(x \ (y * ((x \ y) \ 1)),z) = x \ (y * ((x \ y) \ 1)). [back_rewrite(418333),rewrite([812795(5),812795(11)])]. 813385 R(x \ (y * ((x \ y) \ 1)),z,u) = L(x \ (y * ((x \ y) \ 1)),z,u). [back_rewrite(413278),rewrite([812795(5),812795(11)])]. 813432 x \ (y / ((y \ x) \ 1)) = (y \ x) * (x \ y). [back_rewrite(346617),rewrite([812795(5),642613(7)])]. 813440 ((x \ y) * (y \ x)) \ 1 = x \ (y * ((x \ y) \ 1)). [back_rewrite(307734),rewrite([812795(10)])]. 813533 ((x \ y) * (y \ x)) * (x \ (y * ((x \ y) \ 1))) = 1. [back_rewrite(604926),rewrite([813240(8)])]. 813646 ((x \ y) * (y \ x)) * y = x / ((x \ y) \ 1). [back_rewrite(768962),rewrite([813432(5),594481(9)])]. 813785 a(x,x \ y,x \ y) * y = ((x \ y) * (y \ x)) \ y. [back_rewrite(642285),rewrite([813432(5)]),flip(a)]. 813792 (x * ((y \ x) \ 1)) \ y = (y \ x) * (x \ y). [back_rewrite(443752),rewrite([813432(10)])]. 813882 L(x,((y \ z) * (z \ y)) \ z,u) = L(x,(y \ z) \ y,u). [back_rewrite(642514),rewrite([813785(4)])]. 813932 x * ((y \ x) * (x \ y)) = y / ((y \ x) \ 1). [hyper(295,a,598965,a,b,813646,a),rewrite([600311(7),51(8)])]. 813971 L(x \ a(y,z,u),x * a(y,z,u),a(y,z,u)) = (x / ((x \ a(y,z,u)) \ 1)) / x. [hyper(5142,a,813646,a(flip),b,398776,a),rewrite([400742(9),323(8),49(7),784482(12)]),flip(a)]. 814105 L(x \ (y * ((x \ y) \ 1)),(x \ y) * (y \ x),y) = y / (x / ((x \ y) \ 1)). [para(813646(a,1),94500(a,2,2)),rewrite([345924(5),813440(5),813385(9)])]. 814235 (x \ (L(a(x,y,z) \ 1,x,u) \ 1)) * u = a(x,y,z) * ((x \ 1) * u). [para(340294(a,1),813646(a,1,1,2)),rewrite([398599(9),387365(5),48(7),398599(17),386756(12),48(12),6706(11),629632(11),388135(10),452716(10)]),flip(a)]. 814312 x * (K(x,y) / x) = K(x,x \ (x \ y)). [para(11959(a,2),813646(a,1,1,1)),rewrite([11959(4),5754(4),2045(4),248470(5),42661(4),94649(3),1816(3),32395(5),94930(4),59713(7),474079(8)])]. 814467 K(x,y) * a(x,x,x) = K(x,x \ (x \ y)). [back_rewrite(683021),rewrite([814312(6)])]. 815755 a(L(x,y,z) * u,L(x,y,z),L(x,y,z)) = x * (a(u,L(x,y,z),L(x,y,z)) / x). [para(809653(a,2),379249(a,1,1)),rewrite([106454(7),810324(7),399773(10)])]. 817194 a(((x * a(y,x,x)) * z) * L(x,x,y),u,w) = a(L(z,L(x,x,y),L(x,x,y)),u,w). [para(809614(a,1),46456(a,2,1)),rewrite([809612(7),809626(10)])]. 817709 (x * (y \ T(z,u))) / T(z,u) = (x * (y \ z)) / z. [hyper(5142,a,807352,a(flip),b,268782,a),rewrite([203025(15),215709(14),214147(14),807349(14)])]. 818320 (x \ T(y,z)) / T(y,z) = (x \ y) / y. [hyper(5083,a,817709,a(flip),b,231281,a(flip)),rewrite([231281(5),50(6)]),flip(a)]. 818416 (x * (y \ (z * z))) * ((z * z) \ u) = (x * (y \ 1)) * u. [para(817709(a,2),72092(a,1,1)),rewrite([154725(7),154894(6),335(5)]),flip(a)]. 818821 (x \ (y \ 1)) / (y \ 1) = (x \ y) / y. [hyper(5081,a,401861,a,b,818320,a),rewrite([403636(7),502083(6),401857(6),818320(10)]),flip(a)]. 818853 (x \ (y / z)) / (y / z) = (x \ (z \ y)) / (z \ y). [para(412(a,1),818320(a,1,1,2)),rewrite([412(4)]),flip(a)]. 819330 (x * y) / (z * T(x,y)) = (y * x) / (z * x). [hyper(295,a,57,a,b,225204,a),rewrite([53(2)]),flip(a)]. 820042 R(x \ R(x,y,z),u,w) = L(x \ R(x,y,z),u,w). [para(257648(a,1),225204(a,1,1)),rewrite([416541(11),410(9),259265(9)])]. 820675 L(L(x \ R(x,y,z),L(x,u,w),y * z),u,w) = a(L(x,u,w),y,z). [back_rewrite(795591),rewrite([820042(3),63(6),820042(5)])]. 820721 R(x,y,z) * (x \ R(R(x,y,z) \ x,u,w)) = a(a(x,y,z),u,w). [back_rewrite(358330),rewrite([820042(5),779409(6)]),flip(a)]. 820762 x * (R(x,y,z) \ a(x,y,z)) = a(a(x,y,z),x,y * z). [back_rewrite(778458),rewrite([820721(7)]),flip(a)]. 820764 R(R(x,y,z) \ x,u,w) = L(R(x,y,z) \ x,u,w). [back_rewrite(358452),rewrite([820721(8),778098(5),779403(5)]),flip(a)]. 820779 L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = a(y * z,x,a(x,y,z)). [back_rewrite(778489),rewrite([820762(10),5530(10),388135(11),49(11)])]. 820791 a(x,y,z) * (R(x,y,z) \ x) = a(a(x,y,z),x,y * z). [back_rewrite(778430),rewrite([820762(8)])]. 820792 a(x,y,z) \ (x \ R(x,y,z)) = a(y * z,x,a(x,y,z)). [back_rewrite(776718),rewrite([820762(4),388135(5),49(5)]),flip(a)]. 820829 (x \ R(x,y,z)) * (a(x,y,z) \ u) = u * a(y * z,x,a(x,y,z)). [back_rewrite(451820),rewrite([820792(9)])]. 820833 x * a(y * z,x,a(x,y,z)) = a(x,y,z) \ R(x,y,z). [back_rewrite(354037),rewrite([820829(5)])]. 820846 L(x,y * R(y,z,u),y * R(y,z,u)) = x. [hyper(5142,a,820042,a,b,407806,a),rewrite([820042(5),174146(5),812054(5),610248(7),337(11)])]. 820895 x * ((y \ R(y,z,u)) * w) = x * (w * (y \ R(y,z,u))). [para(820042(a,1),203704(a,1,1)),rewrite([273158(5),416950(9)]),flip(a)]. 820909 a(x * R(x,y,z),u,w) = a(a(x,y,z),u,w). [para(820042(a,1),256868(a,1,1,2)),rewrite([304101(6),779198(5),50(4),174146(6),5530(6),134340(5)]),flip(a)]. 820933 L(x \ R(x,y,z),u,w) * (v5 * (R(x,y,z) \ x)) = v5 * a(a(x,y,z),u,w). [para(820042(a,2),406028(a,1,2,1,2)),rewrite([820042(5),304101(6),779198(5),50(4),174146(5),5530(5),812086(9)]),flip(a)]. 820944 (x * (R(y,z,u) \ y)) * L(y \ R(y,z,u),w,v5) = x * a(a(y,z,u),w,v5). [para(820042(a,2),670481(a,1,2,2,1,2)),rewrite([812653(3),820042(10),304101(11),779198(10),50(9),5530(8),301724(8),779400(8),304101(13),779198(12),50(11),5530(10),174146(12),5530(12)])]. 820952 L(x \ R(x,y,z),u,w) * T(v5,v6) = T(v5 * L(x \ R(x,y,z),u,w),v6). [para(820042(a,2),711477(a,1,2,1,1)),rewrite([820042(5),812086(8),820933(9),358424(7),451764(6),779399(5)]),flip(a)]. 820976 (x * (R(y,z,u) \ y)) * (y \ R(y,z,u)) = x. [back_rewrite(610522),rewrite([820846(11)])]. 821036 a(x,x * R(x,y,z),u) = a(a(x,y,z),x,u). [back_rewrite(801163),rewrite([820909(4),413120(3),778534(3)]),flip(a)]. 821051 R(x,y,z) * L(u,x,a(x,y,z)) = (x \ R(x,y,z)) * (x * u). [back_rewrite(650029),rewrite([820909(3),388135(4),70732(4),106623(5),395304(5)])]. 821063 a(R(x,y,z) \ x,u,w) = a(a(x,y,z),u,w). [back_rewrite(287937),rewrite([820909(6)])]. 821068 a(x \ R(x,y,z),u,w) = a(a(x,y,z),u,w). [back_rewrite(134340),rewrite([820909(6)])]. 821120 x \ ((R(y,z,u) * (y \ x)) * (R(y,z,u) \ y)) = a(a(y,z,u),y,x). [back_rewrite(812255),rewrite([821036(10)])]. 821123 x * L(y \ R(y,z,u),y,x) = R(y,z,u) * (y \ x). [back_rewrite(790710),rewrite([821036(5),301724(5),779400(5)])]. 821126 (x \ R(x,y,z)) * (x * u) = x * ((x \ R(x,y,z)) * u). [back_rewrite(628937),rewrite([821036(3),388135(4),70732(4),106623(5),395304(5),821051(4)])]. 821148 R(x,y,z) * L(u,x,a(x,y,z)) = x * ((x \ R(x,y,z)) * u). [back_rewrite(821051),rewrite([821126(8)])]. 821531 R(x,y \ R(y,z,u),w) = L(x,y * R(y,z,u),w). [hyper(5142,a,11786,a,b,820895,a),rewrite([416541(6),358424(4),410(5),57(8),174146(6)])]. 821886 (R(T(x,y),z,u) \ x) \ w = (x \ R(T(x,y),z,u)) * w. [hyper(5081,a,224421,a(flip),b,820895,a),rewrite([812668(6),169853(9),273548(9)])]. 822323 a(x,y,a(z,u,w)) * (z \ R(z,u,w)) = L(R(z,u,w) \ z,y,x) \ 1. [hyper(5083,a,353896,a(flip),b,820895,a(flip)),rewrite([812086(6),48(6),812086(9),667890(9),779416(11)]),flip(a)]. 822593 L(x,y,z * (u * (w * R(w \ K(v5,v6),v7,v8)))) = L(x,y,z * ((w \ R(w,v7,v8)) * u)). [para(820895(a,2),85452(a,2,3)),rewrite([273818(4)])]. 822697 R(x,y,y * R(y,z,u)) = L(x,y * R(y,z,u),y). [para(820895(a,1),381(a,1,2)),rewrite([776371(6),789672(6),174146(6)])]. 823065 a(x,y * (R(y,z,u) * (w \ v5)),a(v6,v7,v8)) = a(x,w * (v5 * (y \ R(y,z,u))),a(v6,v7,v8)). [para(820895(a,1),785983(a,2,2)),rewrite([812086(3),785948(6),785983(6)])]. 823082 L(x * (y \ R(y,z,u)),y * R(y,z,u),L(y,z,u)) = (x * R(y,z,u)) / y. [back_rewrite(812228),rewrite([821531(7),209136(7)])]. 823089 R(x,R(y,z,u) \ y,w) = L(x,y * R(y,z,u),w). [back_rewrite(358344),rewrite([821531(6)])]. 823114 K(x,y) * (z * (x \ R(x,u,w))) = (x \ R(T(x,y),u,w)) * z. [back_rewrite(812250),rewrite([821886(9)])]. 823158 L(x \ y,x * R(x,z,u),x) = R(x,z,u) \ (y * (x \ R(x,z,u))). [back_rewrite(800112),rewrite([822697(4)])]. 823171 L(x,y * R(y,z,u),y) * R(y,z,u) = (x * y) * (y \ R(y,z,u)). [back_rewrite(789755),rewrite([822697(3)])]. 823944 (x * y) / ((z \ L(z,u,w)) * y) = (y * (z \ L(z,u,w))) \ (y * x). [para(102113(a,1),819330(a,1,2)),rewrite([458856(5),408090(6)]),flip(a)]. 823978 (x * y) / (a(z,u,w) \ y) = (a(z,u,w) \ y) \ (y * x). [para(397122(a,1),819330(a,1,2)),rewrite([394737(4),398881(5),397122(9)]),flip(a)]. 824044 (x * y) / ((L(z,u,w) \ z) * y) = ((L(z,u,w) \ z) * y) \ (y * x). [para(442423(a,1),819330(a,1,2)),rewrite([498165(6)]),flip(a)]. 824451 R(x,y * L(y,z,u),w) = L(x,y * L(y,z,u),w). [back_rewrite(503391),rewrite([823944(8),56(8),82976(3)]),flip(a)]. 824625 R(x,L(y,z,u) \ y,w) = L(x,y * L(y,z,u),w). [back_rewrite(503422),rewrite([824451(6)])]. 824672 R(x,L(y \ L(y,z,u),w,v5) \ a(v5,w,y * L(y,z,u)),v6) = L(x,y * L(y,z,u),v6). [back_rewrite(503164),rewrite([824451(11)])]. 824674 R(x,y \ L(y,z,u),w) = L(x,y * L(y,z,u),w). [back_rewrite(503150),rewrite([824451(6)])]. 824786 L(x,y * L(y,z,u),y * L(y,z,u)) / (y * L(y,z,u)) = x * (y \ (L(y,z,u) \ 1)). [para(824451(a,1),190931(a,1,1)),rewrite([305149(12)])]. 824793 a(x,y * L(y,z,u),w) \ 1 = a(w,y * L(y,z,u),x). [para(824451(a,1),256868(a,1,1,2)),rewrite([508149(8)])]. 824809 R(x,(y \ z) * (z \ y),u) = L(x,(z \ y) * (y \ z),u). [para(437273(a,1),824451(a,1,2,2)),rewrite([345741(5),502050(4),437273(12),345741(9),345803(8)])]. 824869 a(L(x,y,z) \ u,L(x,y,z),x * L(x,y,z)) = a(u,x * L(x,y,z),L(x,y,z)). [back_rewrite(801575),rewrite([824793(12)])]. 824921 (a(x,y,z) / x) \ 1 = a(x,y,z) \ x. [hyper(5142,a,821036,a,b,604529,a),rewrite([821036(5),778534(4),394553(3),413503(4)])]. 825007 L(x,y * R(y,z,u),y) = L(x,y,a(y,z,u)). [para(821036(a,1),627135(a,1,1,1)),rewrite([395250(5),389271(9),50(6),394232(3)]),flip(a)]. 825042 L(x,y,a(y,z,u)) * R(y,z,u) = (x * y) * (y \ R(y,z,u)). [back_rewrite(823171),rewrite([825007(3)])]. 825048 R(x,y,z) \ (u * (x \ R(x,y,z))) = L(x \ u,x,a(x,y,z)). [back_rewrite(823158),rewrite([825007(4)]),flip(a)]. 825056 R(x,y,z) \ ((x \ R(x,y,z)) * u) = x \ L(u,x,a(x,y,z)). [back_rewrite(777683),rewrite([825007(8)])]. 825111 a(a(x,y,z),u,w) * (L(x \ R(x,y,z),u,w) \ T(v5,v6)) = T(v5,v6) * (R(x,y,z) \ x). [hyper(7088,a,820952,a,b,503526,a),rewrite([812653(4),6174(8),287528(7),323(5),408(6),812653(13),820952(15),820944(14),113572(12)]),flip(a)]. 825144 T(x * a(a(y,z,u),w,v5),v6) / T(x * (R(y,z,u) \ y),v6) = L(y \ R(y,z,u),w,v5). [hyper(5142,a,503526,a,b,820952,a),rewrite([812653(4),820944(8),385017(4),812653(7)])]. 825169 T(x,y) * (R(z,u,w) \ z) = T(x * (R(z,u,w) \ z),y). [hyper(5083,a,503526,a,b,820952,a),rewrite([812653(7),820944(11),385017(7),113572(8),825111(8),812653(7)])]. 825180 (L(x \ R(x,y,z),u,w) \ 1) * v5 = v5 * (L(x \ R(x,y,z),u,w) \ 1). [hyper(5083,a,820952,a,b,73135,a),rewrite([408210(20),812086(17),48(17),447434(17),323(14),408211(16),812086(14),48(14),446432(13),323(11),408(12),22473(12),22924(11),259245(5)])]. 825219 L(x \ R(x,y,z),u,w) \ T(v5,v6) = T(L(x \ R(x,y,z),u,w) \ v5,v6). [hyper(7088,a,820952,a(flip),b,165,a),rewrite([259245(4),6174(9),287528(8),323(6),408(7),379249(16),812086(11),820976(14)]),flip(a)]. 825224 T(x,y) / T(x * (R(z,u,w) \ z),y) = z \ R(z,u,w). [hyper(5142,a,820952,a(flip),b,704990,a(flip)),rewrite([379249(8),812086(3),820976(6),812086(4)])]. 825455 (R(x,y,z) \ x) * T(u,w) = T(u * (R(x,y,z) \ x),w). [back_rewrite(287727),rewrite([825169(4)]),flip(a)]. 825502 L(R(x,y,z) \ x,R(u,w,v5),v6) = L(R(x,y,z) \ x,L(u,w,v5),v6). [hyper(5081,a,291306,a,b,820764,a),rewrite([291306(6),215709(8),820764(8)])]. 825512 L(R(x,y,z) \ x,L(x,y,z),y * z) = a(x,y,z) \ 1. [hyper(295,a,754663,a(flip),b,820764,a),rewrite([398010(5),293938(4)]),flip(a)]. 825532 L(R(x,y,z) \ x,L(x,y,z),x \ u) \ u = (u / x) * R(x,y,z). [para(820764(a,2),77147(a,1,1)),rewrite([215709(5),820764(5),446432(12),323(10),408(11)])]. 825551 x * a(a(y \ x,z,u),w,v5) = x * a(a(y * x,z,u),w,v5). [para(820764(a,1),62675(a,1,2,2)),rewrite([779198(8),7733(5),50(6),281867(7),281867(10),65467(13),820764(11),779198(12),28759(10)]),flip(a)]. 826993 ((x \ L(x,y,z)) \ u) \ (u * a(w,v5,v6)) = L(x,y,z) * (x \ a(w,v5,v6)). [hyper(5081,a,457477,a(flip),b,95570,a),rewrite([293004(7),393579(11),784482(11),13654(9),458270(11)]),flip(a)]. 828519 R(L(1 / x,y,z) \ 1,u,w) * L(x \ 1,y,z) = L(x \ R(x,u,w),y,z). [para(256412(a,2),151395(a,2,2,1)),rewrite([504347(5),256412(18),272385(20),63(17),272623(18),272488(16),324(13),48(13)])]. 828681 a(x * R((x \ 1) * y,z,u),w,v5) = a(x \ R(y / x,z,u),w,v5). [para(151395(a,1),759166(a,1,1,1)),rewrite([284772(4)])]. 828916 R(R(x,y,z),u,w) \ R(x / (v5 * v5),y,z) = (v5 * v5) \ (R(R(x,u,w),y,z) \ R(x,y,z)). [hyper(5142,a,647829,a,b,282132,a(flip)),rewrite([291003(5),291003(11),280655(12),51(11),647829(8),172565(6),281043(5),291261(12)])]. 828930 (x * x) * (R(R(y,z,u),w,v5) \ R(y / (x * x),z,u)) = R(R(y,z,u),w,v5) \ R(y,z,u). [hyper(5081,a,282132,a(flip),b,647829,a),rewrite([291261(6),648903(8),172565(7),281043(6),291003(13),291003(19),280655(20),51(19),647829(16)])]. 828993 (x * R(y,z,u)) / y = R(y,z,u) * (y \ x). [para(647829(a,1),60487(a,1,1,1)),rewrite([812085(3),647829(9),209136(9),83591(9),358233(7),823082(7),62852(10),275510(10)])]. 829003 (x / (y \ 1)) * R(y \ 1,z,u) = (x / y) * R(y,z,u). [para(647829(a,1),77147(a,1,1,1)),rewrite([83147(9),273593(7),825502(5),825532(6),647829(16),446432(13),323(11),408(12)]),flip(a)]. 829073 R(x,y,R(z / u,w,v5)) = R(x,y,R(u \ z,w,v5)). [para(647829(a,2),240376(a,1,3,1)),rewrite([647829(8),812085(6),272651(5),272569(6)]),flip(a)]. 829121 L(x,(R(R(y,z,y),u,w) \ y) \ v5,v6) = L(x,v5 * (y * R(y,u,w)),v6). [para(647829(a,2),489121(a,1,2,1)),rewrite([278909(3),63(4),278909(7),647902(8),489525(6),515204(3),489121(5),812085(3),789962(4)]),flip(a)]. 829127 R(x,R(y \ 1,z,u) \ y,w) = L(x,y * R(y,z,u),w). [para(647829(a,1),501816(a,1,2)),rewrite([823089(3)]),flip(a)]. 829128 R(x,L(R(y,z,u),w,v5) \ L(y,w,v5),v6) = L(x,L(y \ R(y,z,u),w,v5),v6). [para(647829(a,1),505007(a,2,2)),rewrite([501816(13),251038(11),829127(11),63(7),681864(9),272488(6),324(3),48(3),63(8),647902(12)]),flip(a)]. 829227 R(x,y,R(z \ 1,u,w)) = R(x,y,R(z,u,w)). [back_rewrite(273700),rewrite([829073(4)])]. 829265 R(x,y,R(z \ a(u,w,a(v5,v6,v7)),v8,v9)) = R(x,y,R(z,v8,v9)). [back_rewrite(790661),rewrite([829227(9)])]. 829329 R(x,a(y,z,u) \ w,v5) = R(x,w * a(y,z,u),v5). [para(6706(a,2),503100(a,1,2,1)),rewrite([6706(3),397087(4)]),flip(a)]. 829401 R(x,L(y \ L(y,z,u),w,v5),v6) = L(x,L(y * L(y,z,u),w,v5),v6). [para(305594(a,1),503100(a,2,2)),rewrite([305884(6),824451(5),422279(5)]),flip(a)]. 829636 L(x,L(y * L(y,z,u),w,v5),L(y,w,v5)) = L(x,R(y,w,v5),L(y * L(y,z,u),w,v5)). [back_rewrite(445036),rewrite([829401(7),209136(7),83648(7)])]. 829637 L(x,R(y,z,u),L(y * L(y,w,v5),z,u)) = L(x,L(y,z,u),L(y * L(y,w,v5),z,u)). [back_rewrite(444996),rewrite([829401(5),829636(5)])]. 829708 L(x,L(y * L(y,z,u),w,v5),L(y,w,v5)) = L(x,L(y,w,v5),L(y * L(y,z,u),w,v5)). [back_rewrite(829636),rewrite([829637(10)])]. 830834 (1 / (a(x,y,z) \ u)) * u = u * ((a(x,y,z) \ u) \ 1). [hyper(295,a,829329,a(flip),b,813335,a),rewrite([382507(6),612199(6),421350(6),420971(8)])]. 830862 (x \ y) \ R(y,x,x) = (y \ (x \ y)) \ 1. [hyper(5083,a,204275,a(flip),b,813335,a(flip)),rewrite([495834(4),810790(4)])]. 830889 (x * ((y \ x) \ 1)) * y = y * (x * ((y \ x) \ 1)). [para(813335(a,1),11009(a,1,1)),rewrite([813335(8)])]. 830896 R(x * K(y,z),x \ u,u \ x) = u * ((x \ u) \ K(y,z)). [para(12023(a,1),813335(a,1,2)),rewrite([41109(8),201034(9),204510(7),12023(8),11961(10),49(9)])]. 831220 (x \ 1) \ (y * ((x \ y) \ 1)) = x * (y * ((x \ y) \ 1)). [para(813335(a,1),174008(a,1,2)),rewrite([813335(10)])]. 831463 (x * ((a(y,z,u) \ x) \ 1)) \ (x * ((a(y,z,u) / x) \ 1)) = (x \ a(y,z,u)) \ (a(y,z,u) \ x). [back_rewrite(499567),rewrite([830834(5)])]. 831471 (1 / (a(x,y,z) * u)) * (a(x,y,z) * (u * a(x,y,z))) = u * ((a(x,y,z) \ u) \ 1). [back_rewrite(421338),rewrite([830834(14)])]. 831472 L(a(x,y,z) \ 1,u,a(x,y,z) * u) \ 1 = u * ((a(x,y,z) \ u) \ 1). [back_rewrite(420971),rewrite([830834(13)])]. 831488 ((x \ y) * (y \ x)) \ y = x * (1 / (y \ x)). [back_rewrite(580973),rewrite([830896(7),225(5,R),115269(5)]),flip(a)]. 831577 L(x,(y \ z) \ y,u) = L(x,(z \ y) * y,u). [back_rewrite(813882),rewrite([831488(4),77774(5),77943(5)]),flip(a)]. 831720 L(a(x,y,z) \ u,u,a(x,y,z)) = (a(x,y,z) / u) \ 1. [hyper(7088,a,831488,a,b,1143,a(flip)),rewrite([413503(4),561(6),604529(10),388135(10),627353(11),787830(11)]),flip(a)]. 831898 a(a(x,y,z) * u,u,a(x,y,z)) * u = ((a(x,y,z) / u) \ 1) * a(x,y,z). [hyper(5081,a,1143,a(flip),b,831488,a),rewrite([413503(4),604529(11),388135(11)]),flip(a)]. 831900 a(x,y,z) \ (((a(x,y,z) \ 1) / u) \ 1) = ((a(x,y,z) / u) \ 1) * a(x,y,z). [hyper(5081,a,831488,a,b,397122,a(flip)),rewrite([397087(4),604640(7),388135(5),831898(5),806567(13)]),flip(a)]. 831917 L(x \ (y * ((x \ y) \ 1)),(y \ x) * (x \ y),y) = y \ (x * (1 / (y \ x))). [hyper(7088,a,831488,a(flip),b,268782,a),rewrite([813440(5),824809(9),60(10),813379(6)])]. 831940 (x * (1 / (y \ x))) / y = y \ (x * (1 / (y \ x))). [hyper(5142,a,831488,a(flip),b,268782,a),rewrite([813440(10),824809(14),831917(14)])]. 831968 (x * (y \ (y / x))) \ y = (y * x) * (1 / x). [para(50(a,1),831488(a,1,1,2)),rewrite([493504(3),50(8)])]. 831990 (x / y) * a(x,y,y) = x * (1 / y). [para(340(a,1),831488(a,1,1,2)),rewrite([811337(3),397087(5),340(6)])]. 831991 ((a(x,y,z) / u) \ 1) * a(x,y,z) = a(x,y,z) * ((a(x,y,z) / u) \ 1). [para(6706(a,2),831488(a,1,1,1)),rewrite([6706(2),604529(5),388135(5),831898(5),413503(11)])]. 832385 L(x,y \ (z * (1 / (y \ z))),u) = L(x,y \ ((z \ y) \ z),u). [para(831488(a,1),491131(a,2,2,2)),rewrite([813932(4),28029(6),69441(6),697332(4)]),flip(a)]. 832507 x / (y / ((y \ x) \ 1)) = x \ (y * (1 / (x \ y))). [para(831488(a,1),739071(a,2,1)),rewrite([813288(11),814105(9),831940(10)])]. 832549 L(a(x,y,z),u,u * a(x,y,z)) \ u = (a(x,y,z) / u) \ 1. [back_rewrite(500965),rewrite([831720(9)])]. 832558 a(x,y,z) \ (((a(x,y,z) \ 1) / u) \ 1) = a(x,y,z) * ((a(x,y,z) / u) \ 1). [back_rewrite(831900),rewrite([831991(14)])]. 833082 (x / ((x \ y) \ 1)) \ y = x \ (y * ((x \ y) \ 1)). [para(628401(a,1),830862(a,1,1)),rewrite([393579(11),698590(11),635963(11),611870(11),400178(10),628401(9),813432(10),813440(10)])]. 833361 ((1 / (a(x,y,z) \ u)) \ a(x,y,z)) \ u = a(a(x,y,z) * u,u,a(x,y,z)). [hyper(5081,a,737083,a,b,833082,a),rewrite([813339(7),85484(15),651616(13),320(11),192812(8),403185(10)]),flip(a)]. 833393 ((x \ (y * ((x \ y) \ 1))) \ z) \ z = x \ (y * ((x \ y) \ 1)). [hyper(5081,a,340,a,b,833082,a),rewrite([813319(6),833082(12)])]. 833527 L(x,y \ (z * ((y \ z) \ 1)),u) = L(x,z \ ((y \ z) \ y),u). [para(833082(a,1),28057(a,2,2)),rewrite([832507(5),832385(6)]),flip(a)]. 833585 L(x,y \ ((z \ y) \ z),u) = L(x,z * (y * (z \ y)),u). [para(833082(a,2),68875(a,2,2)),rewrite([831220(7),277861(6),833082(9),833527(10)]),flip(a)]. 833804 L((x \ y) * (y \ x),x * (y * (x \ y)),z) = z / ((x \ (y * ((x \ y) \ 1))) * z). [para(833082(a,1),347968(a,1,1,2,2)),rewrite([813432(5),813533(9),49(2),833082(5),813432(12),833082(15),444867(16),833527(16),833585(14)]),flip(a)]. 833955 L(x,y * (z * (y \ z)),u) = L(x,a(z,y \ z,y),u). [para(833082(a,2),28126(a,1,2,1)),rewrite([833082(5),73507(10),681757(9),609975(4),830889(8),277861(9)]),flip(a)]. 834052 L(x,y \ (z * ((y \ z) \ 1)),u) = L(x,a(z,y \ z,y),u). [back_rewrite(833527),rewrite([833585(10),833955(10)])]. 834134 x / ((y \ (z * ((y \ z) \ 1))) * x) = (y \ z) * (z \ y). [back_rewrite(833804),rewrite([833955(7),443899(6)]),flip(a)]. 834160 L((x \ y) * (y \ x),(x \ y) * (y \ x),z) = (x \ y) * (y \ x). [back_rewrite(813369),rewrite([834134(14)])]. 834161 (x \ (y * ((x \ y) \ 1))) \ z = ((x \ y) * (y \ x)) * z. [back_rewrite(813362),rewrite([834160(7)]),flip(a)]. 834184 x \ (((y \ z) * (z \ y)) \ x) = y \ (z * ((y \ z) \ 1)). [back_rewrite(833393),rewrite([834161(6),492338(5)])]. 834210 L(x,(y \ z) * (z \ y),u) = L(x,a(z,y \ z,y),u). [back_rewrite(813360),rewrite([834161(6),58(5),296959(4),834184(9),834052(10)])]. 834352 L(x,(y \ z) \ (z \ y),u) = L(x,a(z,y \ z,y),u). [back_rewrite(345803),rewrite([834210(8)])]. 834717 x / ((a(y,z,u) / x) \ 1) = ((a(y,z,u) / x) \ 1) \ x. [para(831720(a,1),162923(a,1,2,1)),rewrite([612277(9),383870(6),629091(4),6706(7),831720(9)])]. 834802 (((a(x,y,z) / u) \ 1) \ u) \ 1 = u * ((u * a(x,y,z)) \ 1). [back_rewrite(629134),rewrite([834717(5)])]. 834805 L(a(x,y,z),u,a(x,y,z) * u) = ((a(x,y,z) / u) \ 1) \ u. [back_rewrite(629091),rewrite([834717(9)])]. 834879 ((x \ y) \ 1) \ 1 = (x * (y \ x)) \ x. [hyper(5142,a,95532,a,b,493504,a),rewrite([337(3),813335(3),337(6),813792(5),147(5),71642(5)])]. 835048 L(T(x,y),x * L(x,z,u),L(x,z,u) \ w) \ w = (x \ L(x,z,u)) * (L(T(x,y),z,u) \ w). [para(64035(a,1),95532(a,1,1,2)),rewrite([216879(7),824674(6),64035(11)])]. 835168 (T(x,y) \ L(x,z,u)) * (L(x,z,u) \ w) = (x \ L(x,z,u)) * (L(T(x,y),z,u) \ w). [para(188303(a,2),95532(a,1,1,2)),rewrite([188303(5),214557(7),824674(6),835048(7)]),flip(a)]. 835302 a(a(x,y,z),u,w) * (w \ v5) = L(w,u,a(x,y,z)) \ v5. [para(395220(a,1),95532(a,1,1,2)),rewrite([385866(6),635963(6),5533(6),395220(6)]),flip(a)]. 835875 ((a(x,y,z) \ u) \ 1) \ 1 = a(x,y,z) \ ((u \ 1) \ 1). [para(6706(a,2),834879(a,1,1,1)),rewrite([6706(2),493554(12),426053(11)])]. 836346 (x * ((L(y,z,u) \ x) \ (y \ x))) \ x = x \ (y * (L(y,z,u) \ x)). [para(313682(a,2),834879(a,1,1,1)),rewrite([313682(4),506944(8),304809(8)]),flip(a)]. 836390 ((x \ L(a(x,y,z),x,u)) * u) \ ((x \ a(x,y,z)) * u) = a(u,x,a(x,y,z)). [para(340294(a,1),834879(a,2,1,2)),rewrite([398599(9),386756(4),48(4),388135(4),49(4),7733(8),494921(8)]),flip(a)]. 836443 ((x * a(y,z,u)) \ 1) \ 1 = a(y,z,u) * ((x \ 1) \ 1). [para(397087(a,1),834879(a,1,1,1)),rewrite([397122(14),397572(16),502341(12),49(13),449383(12),426053(11)])]. 836456 ((a(x,y,z) * (u \ a(x,y,z))) \ 1) \ 1 = (a(x,y,z) / u) * a(x,y,z). [para(398206(a,2),834879(a,2,1)),rewrite([449383(4),398206(15),629127(18),439285(12)])]. 836785 (x \ 1) \ (a(y,z,x) \ 1) = (x \ a(y,z,x)) \ 1. [back_rewrite(643456),rewrite([835875(6),646589(6)])]. 836792 (x * y) \ ((x * y) / (y \ (x \ 1))) = (y \ (x \ 1)) \ 1. [back_rewrite(604978),rewrite([835875(8),643271(8)]),flip(a)]. 837932 x * (K(y,z) * (L(x,u,w) \ x)) = L(1 / x,u,w) \ K(y,z). [hyper(5081,a,165661,a(flip),b,269434,a),rewrite([193425(5),306668(11),165686(11),724971(8),455274(8),381171(8),306668(12),165686(12)]),flip(a)]. 839352 (x * (y \ a(z,u,w))) * (y * (a(z,u,w) \ y)) = a(z,u,w) * (x * (a(z,u,w) \ y)). [para(629127(a,1),204228(a,1,1,2)),rewrite([421144(6),28057(4),784482(4),399105(5),651435(9)]),flip(a)]. 839520 x / ((x \ a(y,z,u)) \ 1) = ((x \ a(y,z,u)) \ 1) \ x. [back_rewrite(651602),rewrite([839352(9),813932(7)])]. 839558 L(x \ a(y,z,u),x * a(y,z,u),a(y,z,u)) = (((x \ a(y,z,u)) \ 1) \ x) / x. [back_rewrite(813971),rewrite([839520(11)])]. 839565 L((1 / x) \ a(y,z,u),x * a(y,z,u),a(y,z,u)) = (x \ 1) \ (((x \ a(y,z,u)) \ 1) \ x). [back_rewrite(672222),rewrite([839520(15)])]. 839566 x * L(x \ a(y,z,u),a(y,z,u) * x,x) = ((x \ a(y,z,u)) \ 1) \ x. [back_rewrite(665908),rewrite([839520(11)])]. 839809 R(x,y,((1 / z) \ L(z,u,w)) * v5) = R(x,y,(z * L(z,u,w)) * v5). [para(309068(a,1),216853(a,2,3,1)),rewrite([403167(4)])]. 839843 R(x,y,(z \ (u \ 1)) * w) = R(x,y,(z \ u) * w). [para(493036(a,1),216853(a,2,3,1)),rewrite([716681(3),769614(4),217221(5),216853(3),216853(8),240429(8)]),flip(a)]. 839961 R(x,y,(z \ L(z,u,w)) * v5) = R(x,y,(z * L(z,u,w)) * v5). [hyper(5081,a,217015,a,b,839809,a),rewrite([304789(4),839843(6),839809(10)])]. 840111 R(x,y,(z * L(z,u,w)) * v5) = R(x,y,v5 * (L(z,u,w) \ z)). [back_rewrite(462694),rewrite([839961(4)])]. 840118 R(x,y,(L(z,u,w) \ z) * v5) = R(x,y,(z * L(z,u,w)) * v5). [back_rewrite(306163),rewrite([839961(8)])]. 840188 R(x,y,(z * L(z,u,w)) * (z * v5)) = R(x,y,z * (v5 * (z \ L(z,u,w)))). [para(13287(a,1),839961(a,1,3)),rewrite([188068(2),349543(4),381611(10),323(8),408(9)]),flip(a)]. 840202 R(x,y,L(z \ L(z,u,w),v5,v6) * v7) = R(x,y,L(z * L(z,u,w),v5,v6) * v7). [para(62761(a,1),839961(a,1,3)),rewrite([381213(3),381213(10),460044(14),641701(12)])]. 840302 R(x,y,((z \ L(z,u,w)) * v5) * v6) = R(x,y,((z * L(z,u,w)) * v5) * v6). [para(594482(a,1),839961(a,1,3)),rewrite([64094(11),594482(13)])]. 840313 R(x,y,((z * L(z,u,w)) * v5) * v6) = R(x,y,v6 * (v5 * (z \ L(z,u,w)))). [para(626472(a,1),839961(a,1,3)),rewrite([443902(5),64094(10),626472(13),216847(11)]),flip(a)]. 840713 R(x,y,((1 / z) * u) \ w) = R(x,y,(z * u) \ w). [para(26378(a,1),217280(a,2,3)),rewrite([234224(7),217280(5)]),flip(a)]. 840731 R(x,y,R(z,u,w) * ((1 / z) \ v5)) = R(x,y,R(z,u,w) * (z \ v5)). [para(62852(a,1),217280(a,2,3)),rewrite([597383(5)])]. 840736 R(x,y,z \ R(z,u,w)) = R(x,y,z * R(z,u,w)). [para(173697(a,2),217280(a,1,3)),rewrite([173697(10),337(6),174008(4),337(7)]),flip(a)]. 840789 R(x,y,z * (a(u,w,v5) \ v6)) = R(x,y,z * (v6 * a(u,w,v5))). [para(494677(a,1),217280(a,2,3)),rewrite([420478(8),380(6),397148(4),663034(10)])]. 840823 R(x,y,(z * (u * z)) \ w) = R(x,y,L(u,z,z) \ w). [back_rewrite(661201),rewrite([840713(6)])]. 840907 R(x,y,R(z,u,w) \ z) = R(x,y,z * R(z,u,w)). [back_rewrite(358338),rewrite([840736(6)])]. 841306 R(x,y,z * L(u \ 1,w,v5)) = R(x,y,z * L(u,w,v5)). [para(2467(a,1),277477(a,1,3)),rewrite([217065(8),216640(6),204278(19),157770(17),22473(13),277307(13),217065(12),216640(10)])]. 841329 R(x,y,L(L(z,u,w) \ z,v5,v6) \ v7) = R(x,y,L(z \ L(z,u,w),v5,v6) \ v7). [para(91470(a,2),277477(a,1,3,1,1)),rewrite([91470(4),304759(4)]),flip(a)]. 841513 R(x,y,z * L(z,u,w)) = L(x,y,z * L(z,u,w)). [para(304455(a,1),217672(a,2,3)),rewrite([305132(4),428281(4),475765(3),217243(6)]),flip(a)]. 841669 x \ L(y,x,x * L(x,z,u)) = L(x \ y,x,x * L(x,z,u)). [back_rewrite(765306),rewrite([841513(8)])]. 841811 R(x,y,z \ L(z,u,w)) = L(x,y,z * L(z,u,w)). [back_rewrite(217243),rewrite([841513(6)])]. 841813 R(x,y,L(z,u,w) \ z) = L(x,y,z * L(z,u,w)). [back_rewrite(217133),rewrite([841513(6)])]. 841989 R(x,y,(a(z,u,w) \ v5) \ v6) = R(x,y,v5 \ (a(z,u,w) * v6)). [para(60487(a,1),789049(a,1,3)),flip(a)]. 842067 R(x,y,(z * a(u,w,v5)) * v6) = R(x,y,a(u,w,v5) * (z * v6)). [para(101962(a,1),387713(a,1,3)),rewrite([393579(4),24258(5),561(3)]),flip(a)]. 842077 R(x,y,(a(z,u,w) * v5) * v6) = R(x,y,a(z,u,w) * (v5 * v6)). [para(391739(a,1),387713(a,1,3)),rewrite([387713(7),842067(4)]),flip(a)]. 842453 a(x,y * L(z,u,z),w) = a(x,y * z,w). [para(278909(a,1),50787(a,1,2,2)),rewrite([158145(5),107915(6)])]. 844434 T(x,x \ (x \ y)) = L(T(x,y),x,x). [hyper(7088,a,1599,a(flip),b,488279,a),rewrite([90619(2),25262(4),6174(4),60(3),1343(2),25262(4),162681(6),809662(5),814467(5),149(6)]),flip(a)]. 845536 R(x * (L(x,y,z) \ u),x,x) \ (x * (L(x,y,z) \ (u * x))) = L(x,x,x * (L(x,y,z) \ u)). [hyper(5083,a,504398,a(flip),b,488279,a)]. 845589 R(x / L(y,z,u),y,y) \ (y * (L(y,z,u) \ x)) = L(y,y,L(y,z,u) \ x). [hyper(5083,a,118328,a(flip),b,488279,a),rewrite([26402(10)])]. 847677 x * (y * a(x,y,y)) = R(x,y,y) * y. [para(627168(a,1),191021(a,1,2)),rewrite([66975(9),626673(8),811585(7),75356(6),627831(5),721076(5)]),flip(a)]. 848229 R(x,y,z * (u \ K(w,v5))) = R(x,y,z * u). [para(50481(a,1),216863(a,2,3)),rewrite([75459(6),216904(6),216640(6),206757(8)])]. 848238 R(x,y,z * (u * (w / v5))) = R(x,y,z * (u * (v5 \ w))). [para(77335(a,1),216863(a,1,3,2)),rewrite([562(4),216847(6)])]. 848527 R(x,y,z * (((u \ 1) \ w) \ v5)) = R(x,y,z * ((u \ w) \ v5)). [para(68847(a,1),216904(a,2,3,2)),rewrite([231306(4),807689(6),217221(6)]),flip(a)]. 848530 R(x,y,z * (L(u,u,u) \ w)) = R(x,y,z * ((u \ 1) \ w)). [para(80800(a,1),216904(a,2,3,2)),rewrite([216904(4),848527(11)])]. 848591 R(x,y,z * L(1 / u,w,v5)) = R(x,y,z * L(u,w,v5)). [para(256412(a,1),216904(a,1,3,2)),rewrite([217065(7),841306(5),217065(10)]),flip(a)]. 851986 R(x,y,z) \ ((x \ 1) \ u) = x \ (R(x \ 1,y,z) \ u). [hyper(5083,a,62943,a(flip),b,268774,a),rewrite([66364(14),50(7)])]. 852347 a(x,R(y \ 1,z,u) * w,v5) = a(x,w * R(y,z,u),v5). [para(268774(a,1),14794(a,1,2)),rewrite([14846(10)])]. 852402 a(x * ((R(y \ 1,z,u) * w) * v5),v6,v7) = a(x * ((R(y,z,u) * w) * v5),v6,v7). [para(268774(a,1),46702(a,2,1,2,1)),rewrite([46936(7)]),flip(a)]. 852507 a(L(x,R(y,z,u),w) * (R(y \ 1,z,u) * w),v5,v6) = a(w * (R(y,z,u) * x),v5,v6). [para(268774(a,1),24885(a,1,1,2)),rewrite([25316(4),22755(14)])]. 852508 a(x * (R(y \ 1,z,u) * w),v5,v6) = a(x * (R(y,z,u) * w),v5,v6). [para(268774(a,2),24885(a,1,1,2)),rewrite([273593(4),268774(6),852507(8)]),flip(a)]. 852512 a(x,y,z * (R(u \ 1,w,v5) * v6)) = a(x,y,(v6 * R(u,w,v5)) * z). [para(268774(a,1),136137(a,2,3,2)),rewrite([72932(6)]),flip(a)]. 852874 a(x \ L(R(y \ 1,z,u) * w,R(y,z,u),L(y,z,u)),v5,v6) = a(x \ (R(y,z,u) \ w),v5,v6). [para(268774(a,1),758917(a,1,1,2,1)),rewrite([209136(7),96426(15)])]. 852875 a(x \ (R(y \ 1,z,u) \ w),v5,v6) = a(x \ (R(y,z,u) \ w),v5,v6). [para(268774(a,2),758917(a,1,1,2,1)),rewrite([268774(4),209136(11),83591(11),273593(9),852874(9)]),flip(a)]. 852991 a(x,R(y \ K(z,u),w,v5) * v6,v7) = a(x,v6 * R(y,w,v5),v7). [back_rewrite(213921),rewrite([852347(10)])]. 853000 a(x * ((y \ R(y,z,u)) * w),v5,v6) = a(x * ((y * R(y,z,u)) * w),v5,v6). [back_rewrite(273635),rewrite([852402(9),297701(5),102431(6),11009(2)]),flip(a)]. 853039 a(x * (R(y \ K(z,u),w,v5) * v6),v7,v8) = a(x * (R(y,w,v5) * v6),v7,v8). [back_rewrite(213920),rewrite([852508(12)])]. 853428 R(x,y,z) * ((y \ K(u,w)) * z) = (x * (y \ K(u,w))) * z. [hyper(5081,a,72702,a(flip),b,102028,a),rewrite([11961(4),49(3),7724(9),43538(10),5754(9),22699(10),67632(9),265787(10),204274(11),840823(9),5678(6),5754(6),204274(7),7724(11),43538(12),5754(11),22699(12),67632(11),265787(12),265814(13),5784(12)]),flip(a)]. 854469 (R(x,y,z) * u) * (R(x,y,z) \ x) = L((x \ 1) \ u,x,L(x,y,z)). [para(62944(a,1),21093(a,1,2,1)),rewrite([405411(8),324(6),152866(6),812653(5),209136(12),28083(12)])]. 854611 ((x \ 1) * y) * a(x,L(x,z,u),y) = x \ L(y,x,a(x,z,u)). [para(62944(a,1),593521(a,1,2,1)),rewrite([825056(5),50864(10),796320(8),150511(8)]),flip(a)]. 854613 R(x,y,z) * (x \ L(u,x,a(x,y,z))) = (x \ R(x,y,z)) * u. [para(62944(a,1),594482(a,2,1)),rewrite([50864(8),796320(6),150511(6),854611(7)])]. 854658 a(x,y * (z \ R(z,u,w)),a(v5,v6,v7)) = a(x,y * (z * R(z,u,w)),a(v5,v6,v7)). [para(62944(a,1),785983(a,2,2,2)),rewrite([50787(7),785983(5),11009(2)]),flip(a)]. 854690 a(x,x * L(x,y,z),u) = a(a(x,y,z),x,u). [back_rewrite(821120),rewrite([854469(6),354827(4),597563(7)])]. 854701 L(x,y,z) \ ((x \ L(x,y,z)) * u) = x \ L(u,x,a(x,y,z)). [back_rewrite(595268),rewrite([854611(11)])]. 854809 (L(x,y,z) \ x) * (u * a(a(x,y,z),x,u)) = x \ ((L(1 / x,y,z) \ 1) * u). [back_rewrite(606788),rewrite([854690(5)])]. 854810 a(x,a(y,z,x),z * (y \ x)) = a(a(x,z,y),x,y * z). [back_rewrite(605763),rewrite([854690(4)]),flip(a)]. 854821 R((x / y) / (1 / y),y,L(y,z,u)) = x * a(a(y,z,u),y,x). [back_rewrite(596928),rewrite([854690(9)])]. 854857 a(x * L(x,y,z),x,u) = a(a(x,y,z),x,u). [back_rewrite(350626),rewrite([854690(6)])]. 854866 L(x,y,y * L(y,z,u)) = L(x,y,a(y,z,u)). [back_rewrite(351037),rewrite([854701(5),51(4)]),flip(a)]. 854872 L(x,y,z) \ (a(z,y,x) \ x) = a(a(x,y,z),x,z * y). [back_rewrite(605885),rewrite([854810(8)])]. 854873 a(a(x,y,z),x,z * y) * a(z,y,x) = L(x,y,z) \ x. [back_rewrite(605884),rewrite([854810(4)])]. 854879 x \ L(y,x,a(x,z,u)) = L(x \ y,x,a(x,z,u)). [back_rewrite(841669),rewrite([854866(3),854866(7)])]. 854894 L(x,y,z) \ (u * (x \ L(x,y,z))) = L(x \ u,x,a(x,y,z)). [back_rewrite(351014),rewrite([854866(4)]),flip(a)]. 854961 a(x,y,y * L(y,z,u)) = a(x,y,a(y,z,u)). [back_rewrite(670884),rewrite([854866(3),394194(3),792499(4),5528(3)]),flip(a)]. 855056 x * L(y,x,a(x,z,u)) = L(x * y,x,a(x,z,u)). [back_rewrite(350870),rewrite([854866(3),854866(7)])]. 855060 L(x,y * L(y,z,u),y) = L(x,y,a(y,z,u)). [back_rewrite(350618),rewrite([854866(6)])]. 855084 L(x,y,z) \ ((x \ L(x,y,z)) * u) = L(x \ u,x,a(x,y,z)). [back_rewrite(854701),rewrite([854879(8)])]. 855086 x * ((x \ R(x,y,z)) * (x \ u)) = (x \ R(x,y,z)) * u. [back_rewrite(854613),rewrite([854879(4),821148(5)])]. 855087 ((x \ 1) * y) * a(x,L(x,z,u),y) = L(x \ y,x,a(x,z,u)). [back_rewrite(854611),rewrite([854879(9)])]. 855098 a(x * y,y,a(y,z,u)) = a(x,y,a(y,z,u)). [back_rewrite(800726),rewrite([854961(4),395104(3),854961(6)])]. 855142 a(x * y,x,a(x,z,u)) = a(y,x,a(x,z,u)). [back_rewrite(670871),rewrite([854961(4),854961(6)])]. 855799 L(x,L(y,z,u),L(y * L(y,w,v5),z,u)) = L(x,y,a(L(y,z,u),w,v5)). [hyper(5081,a,27485,a(flip),b,854866,a),rewrite([12547(4),784027(4),93251(11),380414(12),380414(11),422299(10),27485(9)]),flip(a)]. 855842 a(x * (y * (x * L(x,z,u))),w,v5) = a(y * L(L(x,z,u),x,x),w,v5). [para(854866(a,1),24885(a,1,1,1)),rewrite([25976(5),747516(7),394190(6),475830(9)]),flip(a)]. 855865 a(a(x,y,z),x,x * u) = a(a(x,y,z),x,u). [para(854866(a,1),593601(a,1,3)),rewrite([454288(5),854857(3),854866(5),855056(5),395220(7)]),flip(a)]. 855883 L(x,L(y * L(y,z,u),w,v5),L(y,w,v5)) = L(x,y,a(L(y,w,v5),z,u)). [back_rewrite(829708),rewrite([855799(10)])]. 855893 a(x * (y * (x \ L(x,z,u))),w,v5) = a(y * L(L(x,z,u),x,x),w,v5). [back_rewrite(475818),rewrite([855842(10)])]. 856036 R(T(x,T(x \ y,z)),u,w) \ T(R(x,u,w) * (x \ y),z) = T(x \ T(y,z),x). [hyper(7088,a,287039,a(flip),b,6623,a),rewrite([131426(5),6492(7),2948(6),36711(5),36202(5),240759(4),131426(6)]),flip(a)]. 856052 R(T(x,y),z,u) \ T(R(x,z,u) * (x \ w),v5) = T(x,y) \ T(w,v5). [hyper(5083,a,287039,a(flip),b,7760,a),rewrite([61(2),5679(9),9113(11)])]. 856101 T(R(x,y,z) * (x \ a(u,w,v5)),v6) = R(x,y,z) * (x \ a(u,w,v5)). [para(547(a,1),287039(a,1,2,2)),flip(a)]. 856578 T(x,T(x \ y,z)) \ T(y,z) = T(x \ T(y,z),x). [back_rewrite(856036),rewrite([856052(9)])]. 857428 (L(L(a(x,y,z),u,w),v5,v6) \ v7) * a(a(x,y,z),u,w) = L(a(x,y,z),v5,v6) \ v7. [hyper(5081,a,454556,a(flip),b,825048,a),rewrite([383775(7),5536(7),63(6),382507(5),63(11),382507(10),305594(12),382653(10),5530(9),70966(10)]),flip(a)]. 857518 x \ (y * (x \ R(x,z,u))) = (x \ R(x,z,u)) * (x \ y). [para(825048(a,1),62943(a,1,2,2)),rewrite([854879(5),821148(6),855086(6)]),flip(a)]. 857814 L(L(a(x,y,z),u,w),v5,v6) \ a(a(x,y,z),v7,v8) = L(L(L(a(x,y,z),v5,v6),u,w) \ 1,v7,v8). [hyper(7088,a,502166,a,b,857428,a),rewrite([305327(9),382653(7),5530(6),5530(6),561(9),305327(14),382653(12),5530(11),86937(17),66271(16),456248(14),388135(14),17060(14),397922(13),452194(11)])]. 857817 L(L(a(x,y,z),u,w),v5,v6) \ (v7 \ L(a(x,y,z),v5,v6)) = (L(a(x,y,z),u,w) * v7) \ a(x,y,z). [hyper(7088,a,268789,a,b,857428,a),rewrite([561(10),6174(14),561(13),421109(14),388135(14),17060(14),12981(12),452674(12)])]. 857944 a(a(x,y,z),u,w) * ((L(L(a(x,y,z),u,w),v5,v6) \ v7) * v8) = (L(a(x,y,z),v5,v6) \ v7) * v8. [para(857428(a,1),24258(a,1,1)),rewrite([5536(10),561(13)]),flip(a)]. 857978 x * (a(L(L(y,z,u),w,v5),v6,v6) \ a(a(y,v6,v6),z,u)) = a(L(y,w,v5),v6,v6) \ x. [para(102153(a,2),857428(a,1,1,1,1,1)),rewrite([102153(2),272898(2),272898(3),400742(7),272898(9)])]. 857988 a((L(a(x,y,z),u,w) \ v5) * v6,v7,v8) = a(v5 * (v6 * a(x,y,z)),v7,v8). [para(857428(a,1),24885(a,1,1,2)),rewrite([5536(7),452565(5),857944(12)]),flip(a)]. 857991 a(x,y,L(L(L(a(z,u,w),v5,v6),v5,v6),v7,v8) * v9) = a(x,y,v9 * a(z,u,w)). [para(857428(a,1),73040(a,1,3,1)),rewrite([397307(5),452539(4),81685(9),86937(8),383788(7)]),flip(a)]. 857999 (x \ (L(a(y,z,u),w,v5) \ v6)) * L(a(y,z,u),w,v5) = a(y,z,u) \ (x \ (v6 * a(y,z,u))). [para(857428(a,2),168799(a,1,1,2,2)),rewrite([857428(7),421109(7),784482(6),784525(6),786803(6),785246(6),118297(8)]),flip(a)]. 858034 a(x,y,L(L(a(z,u,w),v5,v6),v7,v8) * v9) = a(x,y,v9 * a(z,u,w)). [para(857428(a,2),403612(a,1,3)),rewrite([338750(9),454242(8),456358(5),452539(9)])]. 858040 (x * L(L(a(y,z,u),w,v5) \ 1,v6,v7)) \ (L(a(y,z,u),w,v5) \ x) = a(v7,v6,a(y,z,u)). [para(857428(a,1),402089(a,1,1,1)),rewrite([5530(6),646288(6),399114(5),5530(13),857428(13),388135(14),49(14),5530(21),857428(21),420815(18),5533(17)])]. 858090 L(L(L(a(x,y,z),u,w),v5,v6) \ 1,u,w) = L(a(x,y,z),v5,v6) \ 1. [back_rewrite(456248),rewrite([857814(6)])]. 858102 a(x,y,L(L(a(z,u,w),v5,v6),v7,v8) \ v9) = a(x,y,v9 * a(z,u,w)). [back_rewrite(456358),rewrite([858034(10)])]. 858124 (x \ (R(x,y,z) \ u)) / (R(x,y,z) \ u) = R(x \ 1,x,R(x,y,z) \ u). [hyper(5142,a,63590,a,b,268782,a),rewrite([63590(3)])]. 860762 (1 / x) \ T(L(x,y,z) * (x \ L(x \ 1,y,z)),x \ (x \ 1)) = L(x,y,z) * L(x \ 1,y,z). [hyper(5083,a,6609,a,b,135559,a),rewrite([401789(10),145139(6),401599(10),380545(16),13654(14),62149(14),381611(13),122755(12)])]. 860808 T(L(x,y,z) * (x \ L(x \ 1,y,z)),x \ (x \ 1)) = L(x,y,z) * (x \ L(1 / x,y,z)). [hyper(5081,a,292801,a,b,6609,a),rewrite([699439(5),60426(3),49(4),704925(6),401789(14),145139(10),401599(14),380545(20),13654(18),62149(18),381611(17),122755(16)]),flip(a)]. 860837 T(L(x,y,z) * (x \ L(x,y,z)),x * x) = x * (L(x,y,z) * L(1 / x,y,z)). [hyper(5081,a,135559,a(flip),b,6609,a),rewrite([350149(5),180145(12),406968(10),188068(8),350965(10),380545(14),13654(12),380545(13)]),flip(a)]. 861058 (1 / x) \ (L(x,y,z) * (x \ L(1 / x,y,z))) = L(x,y,z) * L(x \ 1,y,z). [back_rewrite(860762),rewrite([860808(12)])]. 861191 a(x,x,x) / (L(x,y,z) * (x \ L(x,y,z))) = L(x,y,z) \ (L(x,y,z) \ x). [para(860837(a,1),198(a,2,2)),rewrite([424218(6),323(3),49(4),5537(3),369(2),426886(14)])]. 861236 T((x * (L(y,z,u) * (y \ L(y,z,u)))) / T(x,y),y * y) = y * (L(y,z,u) * L(1 / y,z,u)). [para(706(a,2),860837(a,1,1)),rewrite([416403(10),323(7),49(8),6174(7)])]. 861273 T(x * (L(x,y,z) * L(1 / x,y,z)),x * x) = L(x,y,z) * (x \ L(x,y,z)). [para(80800(a,1),860837(a,1,1,2)),rewrite([364024(9),304101(8),324(5),48(5),515286(5),62148(4),98289(5),158808(6),475183(9),485051(8),320(8),476971(14),214198(14),48(15),668101(15),767984(15)])]. 861289 T(x / (L(y,z,u) * (y \ L(y,z,u))),y) = (L(y,z,u) * (y \ L(y,z,u))) \ x. [para(860837(a,1),52793(a,1,1,2,1)),rewrite([861273(8),416403(10),323(7),49(8),6174(7),860837(12),861273(14)])]. 862029 x * (a(y,z,u) * a(w * a(y,z,u),a(y,z,u),x)) = L(a(y,z,u) * x,a(y,z,u),w). [para(84428(a,2),595014(a,1,2,1)),rewrite([394568(6),70(8),408(8),398836(7),397880(8),80544(7),625044(8)]),flip(a)]. 864426 T(a(x,y,z) * ((u * w) / u),u * w) = a(x,y,z) * L(w,u,w). [hyper(5081,a,612199,a,b,129158,a),rewrite([612199(5),463968(5),500662(7),386889(11)]),flip(a)]. 864471 T((x * (y * L(a(z,u,w),v5,v6))) / x,x * y) = L(y * L(a(z,u,w),v5,v6),x,a(z,u,w) * y). [hyper(5081,a,384778,a(flip),b,129158,a),rewrite([382956(16),385927(15)]),flip(a)]. 865098 L(x,y,(L(z,u,z) \ w) * v5) = L(x,y,(z \ w) * v5). [para(129158(a,1),83135(a,1,3,1,1)),rewrite([168573(9),50(6)])]. 865508 (x * L(y \ R(y,z,u),w,v5)) * (R(y,z,u) \ y) = x * a(a(y,z,u),w,v5). [hyper(295,a,820952,a,b,381185,a),rewrite([812653(6),287528(9),323(7),408(8),820933(7),812086(10)]),flip(a)]. 866773 T((x / L(y,z,u)) * L(L(y,w,v5),z,u),x) = (x / L(y,z,u)) * L(L(y,w,v5),z,u). [para(305594(a,1),446066(a,1,2,2)),rewrite([380545(10),416403(9),323(6),49(7)])]. 869254 T((a(x,y,z) \ u) * (a(x,y,z) / u),w) = (u \ a(x,y,z)) * (a(x,y,z) \ u). [para(397483(a,2),296959(a,1,1)),rewrite([413546(5)])]. 872285 T(L(L(x,y,z),u,w) * (L(x,y,z) \ v5),v6) = T((v5 / L(x,y,z)) * L(L(x,u,w),y,z),v6). [para(64(a,1),323605(a,2,1,2))]. 874212 R(T(a(x,y,L(z,y,x)) * y,y * z),z,a(x,y,L(z,y,x)) * y) = L(z,y,x) \ (y * z). [hyper(295,a,6493,a,b,635787,a),rewrite([639754(7),385631(8)])]. 874663 a(x,a(y,z,x),u) * a(y,z,x) = L(a(y,z,x),x,u). [para(627098(a,1),635787(a,1,1,1,3)),rewrite([454288(4),394690(5),627098(6),162970(9),395178(9),626803(7),636002(8)])]. 874681 (x \ ((x / y) * L(y,z,u))) \ L(y,z,u) = a(x,y,L(y * L(y,z,u),y,x)) * y. [para(306527(a,1),635787(a,2,1)),rewrite([626198(4),381611(8),323(6),408(7),51(12)]),flip(a)]. 874682 a(x,y,L(y * L(y,z,u),y,x)) * y = y * a(x,y,a(y,z,u)). [para(308035(a,1),635787(a,1,1,1,3)),rewrite([626198(5),671339(5),381611(8),323(6),408(7),308035(9),51(11),719758(10),854961(8)])]. 874761 (x \ ((x / y) * L(y,z,u))) \ L(y,z,u) = y * a(x,y,a(y,z,u)). [back_rewrite(874681),rewrite([874682(11)])]. 876375 L(x,y * a(z,u,w),a(z,u,w)) = a(a(z,u,w),y,x) * x. [para(114426(a,2),381(a,1,2)),rewrite([408328(9),606899(7),112586(5),50(4),784482(7)]),flip(a)]. 881855 T(x / (y \ z),z / y) = T((y \ z) \ x,K(y,z)). [hyper(7088,a,77593,a(flip),b,327407,a),rewrite([409(5),44462(5),36595(4),50954(5),409(7),331209(11),41109(11),104859(11),105429(12),5754(9),361996(9),50(7),105205(9)]),flip(a)]. 884384 T(x * L(y,z,u),w) / T(x,v5) = L(T(x * y,w) / T(x,v5),z,u). [hyper(5142,a,376768,a(flip),b,41903,a),rewrite([9510(6),26653(6),42661(5)]),flip(a)]. 884951 R(K(x,y) / z,u,w) * (z * v5) = z * (R(z \ K(x,y),u,w) * v5). [para(552010(a,2),24258(a,1,1)),rewrite([552010(5),209136(8),83648(8),273482(7),26458(6),273516(7),210404(6),6492(12),284721(13)]),flip(a)]. 885502 K(x,y) * (z * (R(z \ 1,u,w) * v5)) = z * (R(z \ K(x,y),u,w) * v5). [hyper(5081,a,69321,a,b,884951,a),rewrite([22473(8),280564(7),66364(6),50(2),59063(9),208451(12),268783(11)]),flip(a)]. 891881 T((x * (1 / (y * a(z,u,w)))) / T(x,y \ 1),y) = (a(z,u,w) * y) \ 1. [para(30824(a,2),385453(a,1,1)),rewrite([12024(10),385657(10)])]. 893004 T(x / (L(L(y,z,u) \ y,w,v5) \ v6),v6) = (L(L(y,z,u) \ y,w,v5) \ v6) \ x. [para(118292(a,1),881855(a,1,2)),rewrite([408211(10),405411(9),414399(9),323(6),48(7),6159(15),378475(14),323(12),15(13),408(13)])]. 893423 T(R(T(x,y),z,u) \ w,K(x,y)) = T(w / R(T(x,y),z,u),x). [para(776723(a,1),881855(a,1,1,2)),rewrite([777588(8),6492(5),776723(9),379683(12),51(9),53543(10)]),flip(a)]. 893715 (x / R(y,z,u)) * y = y * (R(y,z,u) \ x). [para(19564(a,1),410(a,1,2)),flip(a)]. 898646 (a(x,y,z) / z) \ 1 = a(x,y,z) \ z. [para(646589(a,2),399145(a,1,1)),rewrite([646589(6),836785(6),413790(7),638706(10),337(9)])]. 898663 T(L(a(x,y,z),u,u) \ u,u \ 1) = (a(x,y,z) \ 1) / (1 / u). [para(740843(a,2),399145(a,1,1)),rewrite([72770(7),626536(6),388653(4),397922(5),23218(6)])]. 898918 a(R(a(x,y,z) / z,u,w) * v5,v6,v7) = a(v5 * R(a(x,y,z) \ z,u,w),v6,v7). [para(898646(a,1),337521(a,1,1,2,1)),flip(a)]. 898975 (x * a(y,z,x)) \ (x * u) = x \ ((a(y,z,x) \ x) * u). [para(898646(a,2),83421(a,2,2,1)),rewrite([682786(6),627098(4),628247(4),898646(8)])]. 899000 a(x,y,z) * (u * (a(x,y,z) \ z)) = L(u,z,a(x,y,z)) * z. [para(898646(a,2),204228(a,1,1,2)),rewrite([898646(4),393579(4),784482(4),786955(4),6706(5),19228(8)]),flip(a)]. 899057 L(a(x,y,z) \ u,z,a(x,y,z)) = z \ ((a(x,y,z) \ z) * u). [back_rewrite(628247),rewrite([898975(8)])]. 900287 T((L(x,y,z) \ x) * (u \ K(w,u \ 1)),w) = (L(x,y,z) \ x) * (u \ 1). [para(31873(a,1),442423(a,1,2)),flip(a)]. 900895 ((x \ R(x,y,z)) * u) \ (x \ R(x,y,z)) = (u * (x \ R(x,y,z))) \ (x \ R(x,y,z)). [para(152866(a,1),57973(a,1,2))]. 900919 (x \ (y \ R(y,z,u))) \ (y \ R(y,z,u)) = (x \ 1) \ 1. [para(152866(a,1),359041(a,1,2)),rewrite([780141(11),7275(10)])]. 901290 T(x,y * (z \ R(u,w,v5))) = T(x,y * (z \ u)). [para(468621(a,2),424242(a,2,2,2)),rewrite([446511(4),424242(3),468621(7)]),flip(a)]. 901551 T(x / (x * y),y \ x) = x \ (x / y). [hyper(5083,a,186589,a,b,516028,a),rewrite([211458(4),115174(9),5754(9),86499(9),491301(7)])]. 902991 T(a(x,y,y \ x) \ (x * y),x * (y * (x * y))) = (y \ (x \ 1)) \ 1. [para(602100(a,1),901551(a,1,1,2)),rewrite([6706(4),403603(10),416021(10),93401(9),447641(10),324(7),381302(8),836792(15)])]. 904793 T(x,(y \ (L(z,u,w) \ v5)) * v6) = T(x,(y \ (z \ v5)) * v6). [para(2195(a,1),416051(a,1,2,1,1)),rewrite([416051(5),415956(11),417765(10)])]. 905372 T(x * y,x * (y * (x * y))) = T(x * y,y \ (x \ 1)). [hyper(295,a,413,a(flip),b,381302,a),rewrite([89903(4)]),flip(a)]. 905536 T(x,y * (z * (L(u,w,v5) \ v6))) = T(x,y * (z * (u \ v6))). [para(406330(a,2),381302(a,1,2)),rewrite([406330(6),423152(5),381302(4)]),flip(a)]. 911369 (x * (K(y,z) * u)) \ (x * w) = (x * u) \ (x * (K(z,y) * w)). [para(7788(a,1),52451(a,1,1)),rewrite([11961(7),11171(6)]),flip(a)]. 914976 (L(a(x,y,z),u,w) * v5) \ a(x,y,z) = L(a(x,y,z),u,w) \ (v5 \ a(x,y,z)). [hyper(7088,a,270411,a,b,857428,a),rewrite([60(7),547(6),857817(7),561(8),60(11),547(10),452816(13),388135(12),431862(12)])]. 915524 (L(a(x,y,z),u,w) \ (v5 \ a(x,y,z))) \ L(v5 \ 1,v5,a(x,y,z)) = a(a(x,y,z),u,w). [back_rewrite(452581),rewrite([914976(5)])]. 918214 T(x * L(T(x,y),z,u),x \ 1) = (1 / L(x,z,u)) \ T(x,y). [para(309068(a,1),856578(a,1,1,2,1)),rewrite([380548(7),51551(6),340962(5),309828(10),408211(12)]),flip(a)]. 918238 (1 / L(x,y,z)) \ T(x,u) = (1 / x) \ L(T(x,u),y,z). [para(81670(a,1),856578(a,1,1,2,1)),rewrite([380548(6),51551(5),61776(4),60(4),60(9),341011(10),918214(11)]),flip(a)]. 922671 T(x,T(y \ (R(z,u,w) \ v5),v6)) = T(x,T(y \ (z \ v5),v6)). [para(205231(a,2),36299(a,1,2,2)),rewrite([205231(8),381302(8),446086(8),128160(8),521869(7),250258(6),127072(5),2948(10),12438(9)]),flip(a)]. 932645 ((a(x,y,z) * u) \ 1) \ 1 = a(x,y,z) * ((u \ 1) \ 1). [para(431670(a,1),844434(a,1,2,2)),rewrite([396112(9),386876(9),411(7),836443(6),385118(11),79452(9),320585(13)]),flip(a)]. 933043 (a(x,y,z) / u) * a(x,y,z) = a(x,y,z) * (a(x,y,z) / u). [back_rewrite(836456),rewrite([932645(8),413633(7)]),flip(a)]. 933138 a(x,y,z) / (a(x,y,z) \ u) = a(x,y,z) * (a(x,y,z) / u). [back_rewrite(439285),rewrite([933043(8)])]. 933783 R(x,y,z \ ((u \ 1) \ w)) = R(x,y,z \ (u \ w)). [para(80947(a,1),239766(a,2,3,2)),rewrite([239766(6),239924(6),240435(7)]),flip(a)]. 934025 R(x,y,z * ((u \ 1) \ w)) = R(x,y,z * (u \ w)). [para(80947(a,1),216904(a,2,3,2)),rewrite([216904(6),224896(6),848530(7)]),flip(a)]. 934101 L(x \ R(x,y,z \ (u \ w)),x,(z \ (L(u,u,u) \ w)) * y) = a(x,y,z \ ((u \ 1) \ w)). [back_rewrite(699110),rewrite([933783(5)])]. 936315 a(x * (y \ R(z / y,u,w)),v5,v6) = a(x * (y \ R(y \ z,u,w)),v5,v6). [para(151643(a,1),758229(a,1,1,2,1)),rewrite([25262(8),26536(6),758229(6),13791(12)])]. 936598 T(a(x,y,z) \ u,u \ w) \ w = T((a(x,y,z) \ u) \ w,u). [hyper(5081,a,385657,a(flip),b,3851,a),rewrite([405411(10),396093(10)]),flip(a)]. 937850 T(x,y * ((z * u) / w)) = T(x,y * (z * (u / w))). [para(397310(a,1),416628(a,1,2,2,2)),rewrite([446271(8),386824(6),424873(4),381302(4),381302(7),403603(11),425274(11)]),flip(a)]. 938629 T(x,y * (z / (u / w))) = T(x,y * (z * (w / u))). [para(204224(a,1),446511(a,1,2,2)),rewrite([937850(4)]),flip(a)]. 938771 a(x,y,z) \ ((u \ L(u,w,v5)) \ ((v6 * v6) * (a(x,y,z) * (((v6 * v6) \ v7) * (u \ L(u,w,v5)))))) = v7. [hyper(7088,a,458398,a,b,23857,a),rewrite([22473(8),142144(8),450208(9),323(5),67007(6),71999(7),66558(5),385459(6),67007(5),112055(6),50(2),323(1),408(2),22473(6),142144(6),26359(14),457477(4),458191(14)]),flip(a)]. 939219 (x \ (x \ (y \ (y \ 1)))) * z = (x * x) \ ((y * y) \ z). [hyper(295,a,67217,a(flip),b,23857,a),rewrite([20945(6),226168(9)]),flip(a)]. 940881 T((x \ (L(y,z,u) \ w)) \ 1,x \ (y \ w)) = 1 / (x \ (L(y,z,u) \ w)). [hyper(295,a,66904,a(flip),b,408210,a),flip(a)]. 941350 (a(x,y,a(z,u,w)) / v5) \ a(a(z,u,w),v6,v7) = a(a(z,u,w),v6,v7) * (v5 * a(a(z,u,w),y,x)). [para(452669(a,1),940881(a,1,1,1,2)),rewrite([16922(6),13034(6),388187(8),387456(5),338690(8),419012(8),388661(10),385459(10),451313(9),452669(12),16922(13),13034(13),396535(14),413503(13),388159(13)])]. 944453 L(x,y,((L(z,u,w) \ z) * v5) * v6) = L(x,y,((z \ L(z,u,w)) * v5) * v6). [para(443019(a,1),85750(a,2,3,1)),rewrite([305139(5),293146(7),458856(4),83105(8),46365(6),46365(11)]),flip(a)]. 944545 L(x,y,L(L(z,u,w) \ z,v5,v6) \ v7) = L(x,y,L(z \ L(z,u,w),v5,v6) \ v7). [para(173671(a,1),944453(a,1,3)),rewrite([304759(4),344103(10),323(8),48(11)]),flip(a)]. 944564 L(x,y,z \ ((L(1 / z,u,w) \ 1) * v5)) = L(x,y,(z \ v5) * L(z,u,w)). [para(594859(a,1),944453(a,2,3)),rewrite([64099(6),854690(6),7733(6),854809(6),158527(11),84993(12)])]. 949256 x / (y * ((y \ x) * y)) = T((x / y) / x,y). [hyper(7088,a,8515,a,b,770151,a(flip)),rewrite([743124(8),8951(10),201268(9),75459(8),244547(7)]),flip(a)]. 950111 T(K(x * y,z) * ((u \ L(u,w,v5)) * x),y) = y \ T(((u \ L(u,w,v5)) * x) * y,z). [hyper(5083,a,458856,a,b,562240,a),rewrite([450242(5),323(1),48(2),458856(6),5754(7),552890(7)])]. 950275 T(x,y) * (z \ (L(u,w,v5) * (u \ z))) = T((z \ (L(u,w,v5) * (u \ z))) * x,y). [para(57669(a,2),458856(a,1,2,2)),rewrite([305383(8),304101(12),50(9),304426(10)])]. 950466 T((x \ L(x,y,z)) * (u \ 1),T(u,w)) = (1 / u) * (x \ L(x,y,z)). [para(249126(a,1),458856(a,1,1)),flip(a)]. 950527 L(x \ ((y \ L(y,z,u)) \ x),y,a(y,z,u)) = L(L(y,z,u) \ y,y * L(y,z,u),x). [para(458856(a,1),60895(a,1,1,1)),rewrite([492191(6),82976(7),855060(7),25262(12),82976(11)])]. 952722 K(x,T(y,z)) * (T(u,z) \ w) = T(u * K(y,x),z) \ w. [para(80379(a,1),11892(a,2,1)),rewrite([5754(5),1039(2),25262(9),5538(8)])]. 961236 K(x,T(y,z)) * (u / T(z,K(x,y) * w)) = K(x,y) * (u / T(z,w)). [para(11427(a,1),95906(a,1,2,2)),rewrite([2598(3),2717(3),5754(7),1039(2),5754(11),73(14),1373(14),548(14)])]. 962328 (T(x,y) \ 1) * L((x \ 1) \ z,u,w) = x * L(T(x,y) \ z,u,w). [para(61616(a,1),62154(a,1,2)),rewrite([173157(4)]),flip(a)]. 963511 T(x,y) * K(x * z,u) = K(z * x,u) * T(x,y). [para(89113(a,1),564253(a,1,2,1)),rewrite([2598(6),562936(5),7197(3),5754(4),353385(13),562(9),1039(10),1671(10),562734(9),10948(11)]),flip(a)]. 964190 T(x,T(y,z)) * K(y * u,w) = T(x * K(u * y,w),T(y,z)). [para(963511(a,2),11664(a,1,2,2)),rewrite([5538(4),60873(7),58(4)])]. 965822 a((x * (y * a(z,u,w))) * v5,v6,v7) = a((x * y) * (v5 * a(z,u,w)),v6,v7). [para(15015(a,1),46665(a,2,1,1)),rewrite([397307(6),857988(6)]),flip(a)]. 965894 a(((a(x,y,z) * u) * w) * v5,v6,v7) = a((w * u) * (v5 * a(x,y,z)),v6,v7). [para(384961(a,1),46665(a,2,1,1)),rewrite([18162(8),46976(7),965822(10)])]. 966169 a((x * y) \ ((y \ (x \ 1)) \ (x * y)),z,u) = a(a(x,y,y \ x) * (x * y),z,u). [para(602100(a,1),440390(a,1,1,1)),rewrite([398307(5)]),flip(a)]. 966544 (L(a(x,y,z),u,w) * (T(v5,v6) * v6)) \ (T(v5,v6) * (L(a(x,y,z),u,w) * v6)) = a(a(x,y,z),v6,v5). [hyper(295,a,18461,a,b,383775,a),rewrite([380648(6),385631(5)])]. 966645 a(x \ R(y / x,z,u),w,v5) = a(x \ R(x \ y,z,u),w,v5). [para(281867(a,2),758906(a,1,1,1)),rewrite([281867(3),284772(4),828681(6)])]. 966667 a(x \ (y * a(z,u,w)),v5,v6) = a(a(z,u,w) * (x \ y),v5,v6). [para(398776(a,1),758906(a,1,1,1)),rewrite([339647(8),150510(6),339647(6),758950(5),451522(10)]),flip(a)]. 966692 a(L(L(x,y,x) * z,x,x),u,w) = a(x \ z,u,w). [para(464051(a,2),758906(a,2,1)),rewrite([209344(5),464055(4),464051(7),464057(7)])]. 966703 a(L((x * a(y,z,u)) * w,x,x),v5,v6) = a(x \ (a(y,z,u) * w),v5,v6). [para(598767(a,1),758906(a,1,1,1)),rewrite([356208(7),18893(14),70948(11),218856(12)])]. 966733 a(L(x * (y * L(x,z,u)),L(x,z,u),L(x,z,u)),w,v5) = a(x * (L(x,z,u) \ y),w,v5). [para(158793(a,1),758906(a,1,1,1)),rewrite([504393(11)])]. 966852 a(x \ (a(y,z,u) \ w),v5,v6) = a(a(y,z,u) * (x \ w),v5,v6). [back_rewrite(398452),rewrite([966667(8)])]. 966855 a(x \ (a(y,z,u) * w),v5,v6) = a(a(y,z,u) * (x \ w),v5,v6). [back_rewrite(96596),rewrite([966667(8)])]. 966869 a(L((x * a(y,z,u)) * w,x,x),v5,v6) = a(a(y,z,u) * (x \ w),v5,v6). [back_rewrite(966703),rewrite([966855(9)])]. 966893 a(a(x,y,z) * (u \ (w * (a(x,y,z) \ v5))),v6,v7) = a(u \ (w * v5),v6,v7). [back_rewrite(431410),rewrite([966855(7)])]. 967030 a(L(L(T(x,y),z,u) * w,v5,v5),v6,v7) = a(L(w * L(x,z,u),v5,v5),v6,v7). [para(18820(a,1),62407(a,1,1,1)),rewrite([7724(9),26466(11)])]. 967031 a(L(x * L(T(y,z),u,w),v5,v5),v6,v7) = a(L(x * L(y,u,w),v5,v5),v6,v7). [para(18820(a,2),62407(a,1,1,1)),rewrite([18820(4),967030(5)]),flip(a)]. 967328 a(L(L(x,y,z) * L(x,u,w),x,x),v5,v6) = a(L(x,u,w) * L(x,y,z),v5,v6). [back_rewrite(266835),rewrite([967031(6)])]. 967369 a(L(L(x,y,z) \ x,u,w) \ v5,v6,v7) = a(L(x \ L(x,y,z),u,w) \ v5,v6,v7). [para(91470(a,2),70583(a,1,1,1,1)),rewrite([91470(4),304759(4)]),flip(a)]. 967375 a(L(x \ R(x,y,z),u,w),v5,v6) = a(L(x * R(x,y,z),u,w),v5,v6). [para(173697(a,2),70583(a,2,1)),rewrite([281548(9),63(5),277520(6),173697(12),966645(11),281549(11),63(7),272623(8)]),flip(a)]. 967447 a(((x * a(y,z,u)) \ w) \ v5,v6,v7) = a((x \ (a(y,z,u) \ w)) \ v5,v6,v7). [para(398900(a,1),70583(a,2,1,1)),rewrite([451522(11),68848(7),13835(5),13835(10)])]. 967453 a((x \ a(y,z,u)) \ w,v5,v6) = a((x * a(y,z,u)) \ w,v5,v6). [para(831720(a,1),70583(a,2,1,1)),rewrite([451522(8),68848(6),398389(4),68848(10),13835(8)]),flip(a)]. 967494 a(L(x * L(x,y,z),x,z * y),u,w) = a(a(z,y,x),u,w). [para(11971(a,1),307431(a,1,1)),rewrite([397310(5),46610(4)]),flip(a)]. 967709 a((x * L(y,x,z)) \ (x * y),u,w) = a(x \ (L(y,x,z) * (y \ x)),u,w). [para(593601(a,2),671678(a,1,1,2)),rewrite([672361(8),304426(9)])]. 967776 a(x,y,a(z,u,L(w,u,z))) = (v5 * (v6 \ a(u \ (L(w,u,z) * (w \ u)),y,x))) \ (v5 * (v6 \ 1)). [back_rewrite(608045),rewrite([967709(8)])]. 967855 a(a(x,y,z) * (u * w),v5,v6) = a(u * (a(x,y,z) * w),v5,v6). [para(11786(a,2),394190(a,1,1)),rewrite([385631(4),410(3)])]. 967858 a(((a(x,y,z) \ u) \ w) * v5,v6,v7) = a((u \ (a(x,y,z) * w)) * v5,v6,v7). [para(60487(a,1),394190(a,1,1,1)),flip(a)]. 968082 a(L(x,y,z) * (L(x * L(x,u,w),y,z) * v5),v6,v7) = a(v5 * L(L(x,y,z),u,w),v6,v7). [para(304637(a,1),12619(a,1,1,2)),rewrite([422229(5),855883(5),394190(7),626196(11)]),flip(a)]. 968086 a(L(x,y,z) * ((x * L(x,u,w)) * v5),v6,v7) = a((x * L(x,u,w)) * (v5 * L(x,y,z)),v6,v7). [para(350965(a,2),12619(a,1,1,2)),rewrite([82976(4),350965(8),697386(9),599180(6),476726(5),64173(12)]),flip(a)]. 968089 a(x * ((y * z) * a(u,w,v5)),v6,v7) = a(x * (y * (z * a(u,w,v5))),v6,v7). [para(398776(a,1),12619(a,2,1,2)),rewrite([394205(5),394202(8),24258(5),13786(6)]),flip(a)]. 968117 a(L(x,a(y,z,u) * w,a(y,z,u) * w),v5,v6) = a(L(x,a(y,z,u) * w,w),v5,v6). [para(604529(a,1),12619(a,1,1,2)),rewrite([83407(5),682368(5),612199(5),626842(10),110537(11),398888(13),441939(13)])]. 968887 a(L(x \ (R(y,z,u) \ K(w,v5)),x,y),v6,v7) = a((x * y) \ (y * R(y,z,u)),v6,v7). [para(635075(a,2),797094(a,2,1,2)),rewrite([635075(11),648206(12),12491(13),358306(11)])]. 969200 a((a(x,y,z) * u) \ (w * v5),v6,v7) = a(u \ (w * (v5 * a(x,y,z))),v6,v7). [para(19228(a,1),797021(a,2,1,2)),rewrite([394186(7),759532(5),966855(14),966893(14)]),flip(a)]. 969504 a(L(x,y,z) \ (u * (x \ (L(x,y,z) \ 1))),w,v5) = a(x \ u,w,v5). [para(355479(a,1),797021(a,2,1,1)),rewrite([163725(6),403636(6),83146(4),854866(4),394186(4),702565(12),68848(12)]),flip(a)]. 969575 a((x * L(a(y,z,u),w,v5)) \ (v6 * x),v7,v8) = a(v6 * a(y,z,u),v7,v8). [para(398604(a,2),797021(a,2,1,1)),rewrite([454556(6),386964(6),452532(4),398604(8)]),flip(a)]. 969676 a((x * L(x,y,z)) \ (u * L((x \ 1) \ 1,y,z)),w,v5) = a(L(x \ u,x,L(x,y,z)),w,v5). [para(71364(a,1),797021(a,2,1,1)),rewrite([83591(11),83591(9),28057(7),28083(7),356207(6),70582(6),150445(14)]),flip(a)]. 970003 a(R(a(x,y,z) / u,w,v5) * v6,v7,v8) = a(R(u \ a(x,y,z),w,v5) * v6,v7,v8). [para(413529(a,1),273921(a,1,1,1,1)),rewrite([273921(12)]),flip(a)]. 970032 a(R(a(x,y,z) \ z,u,w) * v5,v6,v7) = a(R(z \ a(x,y,z),u,w) * v5,v6,v7). [para(898646(a,1),273921(a,1,1,1,1)),rewrite([970003(10)])]. 970033 a(R(x \ a(y,z,x),u,w) * v5,v6,v7) = a(v5 * R(a(y,z,x) \ x,u,w),v6,v7). [back_rewrite(898918),rewrite([970003(5)])]. 970344 a(x * ((a(y,z,u) * w) * v5),v6,v7) = a(x * (w * (v5 * a(y,z,u))),v6,v7). [para(598965(a,1),967855(a,2,1,2)),rewrite([46925(8),13808(5),968089(5)]),flip(a)]. 970431 a(((x \ a(y,z,u)) * w) * (v5 * a(y,z,u)),v6,v7) = a((x * w) * v5,v6,v7). [back_rewrite(788841),rewrite([970344(9),47015(9),68915(9),965822(7)])]. 971173 ((x \ a(a(y,z,u),w,v5)) \ a(v6,v7,v8)) * (x \ 1) = x * ((a(v6,v7,v8) / x) * a(v5,w,a(y,z,u))). [hyper(5083,a,399773,a(flip),b,338685,a),rewrite([426134(10),95642(11),407840(6),64714(5),394659(7),410558(6),388135(4),17629(5)]),flip(a)]. 971204 (x \ a(a(y,z,u),w,v5)) \ (x * (a(v6,v7,v8) / x)) = (a(a(y,z,u),w,v5) / x) \ a(v6,v7,v8). [hyper(5083,a,338685,a,b,399773,a(flip)),rewrite([971173(13),387886(12),426134(12)])]. 971576 a(L(x \ (y \ a(a(z,u,w),v5,v6)),x,v7),v8,v9) = a((x * v7) \ (y * v7),v8,v9). [para(338685(a,2),797094(a,2,1,2)),rewrite([338685(13),702710(13)])]. 971579 a(L((x \ a(a(y,z,u),w,v5)) \ v6,x,v7),v8,v9) = a((v7 * x) \ (v6 * v7),v8,v9). [para(338685(a,2),797021(a,2,1,1)),rewrite([441836(8),22312(8),338685(12),279982(13)])]. 971657 a(((x * a(y,z,u)) * w) * v5,v6,v7) = a((w * x) * (v5 * a(y,z,u)),v6,v7). [para(15203(a,1),46302(a,2,1,2,1)),rewrite([547(3),7727(6),20196(8),20215(11),20196(13),965894(10)])]. 971669 a((x * (a(y,z,u) * w)) * v5,v6,v7) = a((x * w) * (v5 * a(y,z,u)),v6,v7). [para(15203(a,2),102431(a,1,1,2,1)),rewrite([338817(10),385866(7),7727(8),380(7),20196(8),46925(13),971657(10)])]. 971710 a(L(x,L(y,y,z),L(y,y,z)),u,w) = a(L(x,y,y),u,w). [back_rewrite(817194),rewrite([971657(6),809574(4),46526(3)]),flip(a)]. 971722 a(L(x * R(1 / y,y,x),y,y),z,u) = a(y * x,z,u). [back_rewrite(759824),rewrite([971710(8)])]. 971771 a(x,y,a(z,u,y)) * y = L(y,a(z,u,y),x). [para(626803(a,1),632593(a,2,2)),rewrite([384961(5),397551(5),899000(5),158527(4),395197(4),386985(6)])]. 971942 a(L((x \ 1) * y,z,u),w,v5) = a(L(x * y,z,u),w,v5). [para(355479(a,1),46976(a,1,1)),rewrite([46610(7),239471(18),480689(18),144187(14),51(11)])]. 971943 a(x * L(L(y,z,u),y,y),w,v5) = a(L(y,z,u) * x,w,v5). [para(355479(a,1),46976(a,2,1,1)),rewrite([533286(6),506085(5),747516(5),46633(9)])]. 971949 a((x * (a(y,z,u) \ w)) * v5,v6,v7) = a((x * w) * (v5 * a(y,z,u)),v6,v7). [para(397483(a,2),46976(a,1,1,2)),rewrite([397483(6),431108(7),46976(7),965822(5)]),flip(a)]. 971950 a(x * ((y * a(z,u,w)) * v5),v6,v7) = a(x * (y * (v5 * a(z,u,w))),v6,v7). [para(397267(a,1),46976(a,2,1,1)),rewrite([397269(6),7724(7),69364(9),7726(5),397682(4),50867(7),970344(5),13874(12),428708(10)]),flip(a)]. 971983 a(x * (y * L(z,u,z)),w,v5) = a(x * (z * y),w,v5). [para(278909(a,1),46976(a,1,1,2,1)),rewrite([131115(6),46803(8)])]. 971999 a(x * (y * (x \ L(x,z,u))),w,v5) = a(L(x,z,u) * y,w,v5). [back_rewrite(855893),rewrite([971943(9)])]. 972005 a(x * (y * (x * L(x,z,u))),w,v5) = a(L(x,z,u) * y,w,v5). [back_rewrite(855842),rewrite([971943(9)])]. 972029 a(x * ((a(y,z,u) \ w) * v5),v6,v7) = a(x * (w * (v5 * a(y,z,u))),v6,v7). [back_rewrite(428708),rewrite([971950(10)])]. 972090 a(L(L((x * x) \ y,z,u),w,v5),v6,v7) = a(L(L((x * x) * y,z,u),w,v5),v6,v7). [para(25954(a,1),971942(a,2,1,1)),rewrite([67007(3),66988(5),25944(3)])]. 972240 a(L(x \ (y \ 1),z,u),w,v5) = a(L(x \ y,z,u),w,v5). [para(401861(a,1),971942(a,1,1,1)),rewrite([65790(7),70582(7),26414(8),401861(7),65790(10),70582(10)])]. 972421 a(a(x,y,y \ x) * (x * y),z,u) = a(L(y \ x,x * y,x * y),z,u). [back_rewrite(604693),rewrite([972240(7)]),flip(a)]. 972438 a((x * y) \ ((y \ (x \ 1)) \ (x * y)),z,u) = a(L(y \ x,x * y,x * y),z,u). [back_rewrite(966169),rewrite([972421(13)])]. 972790 a(a(x,y,x * y) * z,u,w) = a(z * a(x,y,y),u,w). [para(380(a,1),133669(a,2,1,2)),rewrite([398641(4),397148(5),398307(4),131040(9),13654(6),133723(8)])]. 972831 a(L(L(1 / x,y,z),u,w) * (x * L(x,y,z)),v5,v6) = a(x * L(x \ L(x,u,w),y,z),v5,v6). [para(292801(a,2),133669(a,2,1)),rewrite([305327(8),304101(6),324(3),48(3),699745(11),60426(8),49(9),133669(13)]),flip(a)]. 972853 a(x * L(y \ L(y,z,u),y,w),v5,v6) = a(x * (w \ (L(y,z,u) * (y \ w))),v5,v6). [para(683727(a,1),133669(a,1,1,2)),rewrite([684368(7),305649(12)]),flip(a)]. 972858 a(x * L(y \ L(y,z,u),w,v5),v6,v7) = a(x * L(y * L(y,z,u),w,v5),v6,v7). [para(783404(a,1),133669(a,2,1)),rewrite([629611(5),459588(6),443869(7),459171(6),629611(13),459588(14),459470(12),459579(11)])]. 972862 a(L(x * L(x,y,z),u,w) * (x * L(x,u,w)),v5,v6) = a(x * L(L(x,u,w),y,z),v5,v6). [para(835168(a,1),133669(a,1,1)),rewrite([305634(7),119896(8),704922(6),307809(6),149475(4),305649(13),972858(12),13812(12),133669(11)]),flip(a)]. 972929 a(x * L(y * L(y,z,u),y,w),v5,v6) = a(x * (w \ (L(y,z,u) * (y \ w))),v5,v6). [back_rewrite(972853),rewrite([972858(5)])]. 972930 a(L(L(1 / x,y,z),u,w) * (x * L(x,y,z)),v5,v6) = a(x * L(x * L(x,u,w),y,z),v5,v6). [back_rewrite(972831),rewrite([972858(13)])]. 972959 a(x * L(L(y,z,u) \ y,w,v5),v6,v7) = a(x * L(y * L(y,z,u),w,v5),v6,v7). [back_rewrite(307429),rewrite([972858(10)])]. 972962 a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7) = a(x * L(y * L(y,w,v5),z,u),v6,v7). [back_rewrite(305649),rewrite([972858(11)])]. 973009 (a(x * L(x,y,z),u,w) * v5) / ((x \ L(x,y,z)) \ v5) = L(x \ L(x,y,z),u,w). [hyper(5142,a,625451,a,b,62852,a(flip)),rewrite([381213(5),158527(7),293004(3),625432(7),381213(7),380648(9),414399(8),323(5),48(6),114426(5),381213(11)])]. 973132 T(L(x \ L(x,y,z),u,w) \ v5,v5) = L(x \ L(x,y,z),u,w) \ v5. [para(63(a,2),625451(a,1,1,1,2)),rewrite([63(3),304458(4),304458(9)])]. 973220 a(a(x * L(x,y,z),u,w),v5,v6) * a(w,u,L(x * L(x,y,z),v5,v6)) = a(w,u,x * L(x,y,z)). [para(625451(a,2),459556(a,1,1,1)),rewrite([304101(6),459548(5),58(5),547(4),6174(7),381611(6),323(4),408(5),719314(4),704922(10),460111(11),757252(9),484058(15)])]. 973725 a(x * (y \ (L(z,u,w) * (z \ y))),v5,v6) = a(x * (z * L(z,u,w)),v5,v6). [para(210703(a,2),972929(a,1,1)),rewrite([641773(5),428115(13),434206(13),304789(6),304789(11),47335(15),457991(13),460044(9),854857(5),20196(7)]),flip(a)]. 973726 a(x * L(y * L(y,z,u),y,w),v5,v6) = a(x * (y * L(y,z,u)),v5,v6). [para(210703(a,2),972929(a,2,1,2,2)),rewrite([210703(13),973725(11)])]. 973740 a(x * ((y \ (z \ y)) * L(y \ (z \ y),u,w)),v5,v6) = a(x * (z * L(z,u,w)),v5,v6). [para(830862(a,2),972929(a,2,1,2,2,2)),rewrite([377(10),830862(15),63806(17),304101(15),18710(14),324(14),973725(14)])]. 973752 a((x \ (L(y,z,u) * (y \ x))) * w,v5,v6) = a(w * (y * L(y,z,u)),v5,v6). [para(87167(a,1),972929(a,1,1)),rewrite([13786(8),12077(7),973726(5),950275(12),12463(13),12546(12)]),flip(a)]. 973754 a(L(x * L(x,y,z),x,u),w,v5) = a(x * L(x,y,z),w,v5). [para(93516(a,2),972929(a,2,1)),rewrite([25262(5),26458(5),26466(6),463550(11),93516(12),463859(11),973725(11),12077(9)])]. 973760 a(x \ (L(y,z,u) * (y \ x)),w,v5) = a(y * L(y,z,u),w,v5). [para(12054(a,2),972929(a,2,1)),rewrite([25262(5),26458(5),26466(6),973754(4),463550(9),12054(11),463859(10),9113(9),12472(9)]),flip(a)]. 973812 a(x * L(x,y,z),u,w) = a(a(z,y,x),u,w). [back_rewrite(967494),rewrite([973754(5)])]. 973834 a(x,y,a(z,u,L(w,u,z))) = a(x,y,a(z,u,w)). [back_rewrite(967776),rewrite([973760(8),973812(6),453475(11)])]. 973878 a(x,y,L(z * L(z,u,w),v5,v6)) = a(x,y,z * L(z,u,w)). [back_rewrite(973220),rewrite([973812(3),39(3),48(6)])]. 973881 a(a(x,y,z),u,w) * (z \ L(z,y,x)) = L(z \ L(z,y,x),u,w). [back_rewrite(973009),rewrite([973812(3),231368(7),337(6)])]. 973951 a(a(x,y,z),x,u) = a(x,a(z,y,x),u). [back_rewrite(854857),rewrite([973812(3),626803(2)]),flip(a)]. 973983 a(L(x,y,z),x * L(x,y,z),u) = a(x,a(z,y,x),u * L(x,y,z)). [back_rewrite(801065),rewrite([973812(6),413120(5),784553(5),626803(4)]),flip(a)]. 973989 a(x,y,z * L(z,u,w)) = a(x,y,a(w,u,z)). [back_rewrite(785674),rewrite([973812(4),389259(8),55(5),70(2),48(4)]),flip(a)]. 973990 L(x,y,z) * (u * R(u \ (x * (L(x,y,z) \ u)),w,v5)) = a(a(z,y,x),w,v5) * (x * u). [back_rewrite(783556),rewrite([973812(11),7727(12)])]. 973995 x * (L(x,y,z) \ a(a(z,y,x),u,w)) = L(L(x,y,z) \ x,u,w). [back_rewrite(782386),rewrite([973812(6),66271(6)])]. 974005 ((x * L(y,z,u)) \ (x * y)) * L(y,z,u) = L(y,a(u,z,y),x). [back_rewrite(763960),rewrite([973812(4),784553(3),626803(2),396646(3)]),flip(a)]. 974037 L(x \ a(a(y,z,x),u,w),z,y) = x \ L(x \ L(x,z,y),u,w). [back_rewrite(735204),rewrite([973812(3),227652(6),172828(6),323(4),49(5)])]. 974043 a(L(x * L(x,y,z),u,w),v5,v6) = a(a(z,y,x),v5,v6). [back_rewrite(719709),rewrite([973812(3),973989(5),41(5),49(4)]),flip(a)]. 974044 (L(x,y,z) \ x) * (u * a(a(z,y,x),w,v5)) = L(L(x,y,z) \ x,w,v5) * u. [back_rewrite(715001),rewrite([973812(5)])]. 974091 x * L(x \ a(a(y,z,x),u,w),z,y) = L(x \ L(x,z,y),u,w). [back_rewrite(712598),rewrite([973812(6),81685(6),113538(5)])]. 974123 L(a(a(x,y,z),u,w) * z,y,x) = z * L(z \ L(z,y,x),u,w). [back_rewrite(670989),rewrite([973812(6),81403(6),81685(4)])]. 974133 L(L(x \ L(x,y,z),u,w) \ a(a(z,y,x),u,w),v5,x) = L(x,y,z) \ x. [back_rewrite(670071),rewrite([973812(3),86937(9),66271(8)])]. 974179 (x / (y \ (L(y,z,u) \ 1))) * L(y \ (L(y,z,u) \ 1),w,v5) = a(a(u,z,y),w,v5) * x. [back_rewrite(641752),rewrite([973812(14)])]. 974190 (x \ L(x,y,z)) * (u * (w * a(a(z,y,x),w,u))) = u * (w * (x \ L(x,y,z))). [back_rewrite(631950),rewrite([973812(5)])]. 974244 ((x \ L(x,y,z)) * u) * (u \ (L(x,y,z) \ x)) = a(a(z,y,x),u,x * (L(x,y,z) * u)). [back_rewrite(602081),rewrite([973812(13),413120(12),136013(12),453269(12),508075(12)])]. 974313 L(x \ L(x,y,z),u,w) \ a(a(z,y,x),u,w) = L(x,y,z) \ x. [back_rewrite(459844),rewrite([973812(3),113538(8)])]. 974366 L(x,y,z) \ L(x \ L(x,y,z),u,w) = x \ a(a(z,y,x),u,w). [back_rewrite(459665),rewrite([973812(8)])]. 974367 x \ (L(x,y,z) \ a(a(z,y,x),u,w)) = L(x \ (L(x,y,z) \ 1),u,w). [back_rewrite(459651),rewrite([973812(3),214394(7)])]. 974390 a(a(x,y,z),u,w) * (L(z,y,x) \ z) = L(L(z,y,x) \ z,u,w). [back_rewrite(459610),rewrite([973812(5),113623(7),96716(6)])]. 974395 (x * L(x,y,z)) \ L(x * L(x,y,z),u,w) = a(a(z,y,x),u,w). [back_rewrite(459588),rewrite([973812(9)])]. 974415 L(x,y,z) * L(L(x,y,z) \ x,u,w) = a(a(z,y,x),u,w) * x. [back_rewrite(459548),rewrite([973812(8)])]. 974427 a(a(x,y,L(z,u,w)),v5,v6) = a(a(x,y,z),v5,v6). [back_rewrite(307452),rewrite([973812(5),974043(7)])]. 974453 a(x \ L(x,y,z),u,w) = a(a(z,y,x),u,w). [back_rewrite(64094),rewrite([973812(6)])]. 974540 (a(x,y,L(z,y,x)) * L(z,y,x)) \ z = a(y,z,a(x,y,z)). [back_rewrite(785354),rewrite([973834(8)])]. 974541 L(x,y,z) * (x \ a(z,y,L(x,y,z))) = a(y,x,a(z,y,x)). [back_rewrite(785352),rewrite([973834(8)])]. 974609 a(x,y,a(z,u,L(w,v5,v6))) = a(x,y,a(z,u,w)). [back_rewrite(626300),rewrite([973989(5),973878(7),973989(6)])]. 974615 a(x,y,L(L(z,u,w) \ z,v5,v6)) = a(x,y,a(w,u,z)). [back_rewrite(626292),rewrite([973878(8),973989(7)])]. 974622 a(x,y,L(z \ L(z,u,w),v5,v6)) = a(x,y,a(w,u,z)). [back_rewrite(626198),rewrite([973878(8),973989(7)])]. 974693 a(x,a(y,z,x),x * u) = a(x,a(y,z,x),u). [back_rewrite(855865),rewrite([973951(3),973951(5)])]. 974709 L(a(x,y,z),z,x * y) = L(z,y,x) \ z. [back_rewrite(854873),rewrite([973951(3),874663(5)])]. 974710 L(x,y,z) \ (a(z,y,x) \ x) = a(x,a(z,y,x),z * y). [back_rewrite(854872),rewrite([973951(7)])]. 974744 R((x / y) / (1 / y),y,L(y,z,u)) = L(x,y,a(u,z,y)). [back_rewrite(854821),rewrite([973951(8),787000(9)])]. 974754 (L(x,y,z) \ x) * L(u,x,a(z,y,x)) = x \ ((L(1 / x,y,z) \ 1) * u). [back_rewrite(854809),rewrite([973951(4),787000(5)])]. 974899 a(x,y,z) * (R(x,y,z) \ x) = a(x,a(z,y,x),y * z). [back_rewrite(820791),rewrite([973951(7)])]. 974905 x * (R(x,y,z) \ a(x,y,z)) = a(x,a(z,y,x),y * z). [back_rewrite(820762),rewrite([973951(7)])]. 974927 a(x,y,z) \ (u * (x \ a(x,y,z))) = u * (x \ a(x,a(z,y,x),u)). [back_rewrite(633702),rewrite([973951(7)])]. 974928 a(x,a(x,y,z),u) * a(a(x,y,z),u,x) = a(x,a(z,y,x),u). [back_rewrite(631947),rewrite([973951(7)])]. 975021 x * T(y * a(y * L(x,z,u),x,a(u,z,x)),w) = L(x,z,u) * T((L(x,z,u) \ x) * y,w). [back_rewrite(629051),rewrite([973983(4),386929(5),628106(4),7732(7),385056(6)])]. 975027 (L(x,y,z) \ x) \ (x * (L(x,y,z) \ u)) = u * a(x,a(z,y,x),u * L(x,y,z)). [back_rewrite(596911),rewrite([973983(10)])]. 975030 (L(x,y,z) \ x) * (u * a(x,a(z,y,x),u * L(x,y,z))) = x * (L(x,y,z) \ u). [back_rewrite(596831),rewrite([973983(6)])]. 975034 (L(x,y,z) * T((L(x,y,z) \ x) * u,w)) \ (x * T(u,w)) = a(x,a(z,y,x),u * L(x,y,z)). [back_rewrite(498021),rewrite([973983(13)])]. 975070 a(x * L(y,z,u),y,a(u,z,y)) = a(x,y * L(y,z,u),L(y,z,u)). [back_rewrite(824869),rewrite([973989(6),784550(5),395104(4)])]. 975071 L(x,L(y * L(y,z,u),w,v5),v6) = L(x,y * L(y,z,u),v6). [back_rewrite(824672),rewrite([973989(6),503084(7),829401(4)])]. 975095 (L(x,y,z) \ x) \ u = (x \ L(x,y,z)) * u. [back_rewrite(757870),rewrite([973989(8),458337(7),49(5)])]. 975096 (x \ L(x,y,z)) * ((L(x,y,z) \ 1) * u) = (x \ 1) * L(u,x,a(z,y,x)). [back_rewrite(757408),rewrite([973989(7),784550(6),7735(6),394232(5)]),flip(a)]. 975097 (L(x,y,z) \ x) * (L(x,y,z) * u) = x * L(u,x,a(z,y,x)). [back_rewrite(757407),rewrite([973989(5),784550(4),7735(4),394232(3)]),flip(a)]. 975147 (x \ L(x,y,z)) \ u = (L(x,y,z) \ x) * u. [back_rewrite(719777),rewrite([973989(8),458337(7),49(5)])]. 975154 (x / y) * L(y,L(x,z,u),x * L(x,z,u)) = x * a(y,x,a(u,z,x)). [back_rewrite(719766),rewrite([973989(10),784550(9)])]. 975198 a(x,y,a(z,u,w)) * (v5 * (w \ L(w,u,z))) = v5 * (L(L(w,u,z) \ w,y,x) \ 1). [back_rewrite(627709),rewrite([973989(3)])]. 975200 L(a(x,y,a(z,u,w)) * w,u,z) = w * (L(L(w,u,z) \ w,y,x) \ 1). [back_rewrite(627496),rewrite([973989(3),17060(4)])]. 975203 (x * (L(L(x,y,z) \ x,u,w) \ 1)) / L(x,y,z) = a(w,u,a(z,y,x)). [back_rewrite(627401),rewrite([973989(11)])]. 975258 a(x,y,a(z,u,w)) * (w \ L(w,u,z)) = L(L(w,u,z) \ w,y,x) \ 1. [back_rewrite(504631),rewrite([973989(3)])]. 975259 x * L(x \ a(y,z,a(u,w,x)),w,u) = L(L(x,w,u) \ x,z,y) \ 1. [back_rewrite(504296),rewrite([973989(4),70511(5)])]. 975260 a(x,y,a(z,u,w)) * (L(w,u,z) \ w) = L(w \ L(w,u,z),y,x) \ 1. [back_rewrite(502772),rewrite([973989(3)])]. 975267 x * (L(x,y,z) \ a(u,w,a(z,y,x))) = L(x \ L(x,y,z),w,u) \ 1. [back_rewrite(496657),rewrite([973989(5),162960(5)])]. 975273 L(x * L(x,y,z),u,w) \ (x * L(x,y,z)) = a(w,u,a(z,y,x)). [back_rewrite(484067),rewrite([973989(9)])]. 975276 L(L(x \ L(x,y,z),u,w) \ 1,u,w) = L(x,y,z) \ x. [back_rewrite(484061),rewrite([973989(8),195094(8),975095(4),49(4),975147(5),162960(5),975267(5)])]. 975278 L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = a(w,u,a(z,y,x)). [back_rewrite(484058),rewrite([973989(9)])]. 975332 a(x,y,L(z,u,w) \ z) = a(x,y,a(w,u,z)). [back_rewrite(165285),rewrite([973989(6)])]. 975353 a(x,y,z \ L(z,u,w)) = a(x,y,a(w,u,z)). [back_rewrite(72892),rewrite([973989(6)])]. 975363 (x \ (L(x,y,z) \ 1)) \ u = (x * L(x,y,z)) * u. [back_rewrite(758330),rewrite([975095(7),50(8)]),flip(a)]. 975408 a(a(L(x,y,z),L(x,y,z),u),w,v5) = a(a(u,x,x),w,v5). [back_rewrite(796548),rewrite([974043(5),297886(2),778508(3),974427(3)]),flip(a)]. 975456 a(L(x \ L(x,y,z),u,w),v5,v6) = a(a(z,y,x),v5,v6). [back_rewrite(307431),rewrite([974043(8)])]. 975458 L(L(x,y,z) \ x,u,x) = L(x,y,z) \ x. [back_rewrite(974133),rewrite([974313(6)])]. 975599 x \ ((x * a(y,z,x)) * u) = (a(y,z,x) * x) * (x \ u). [back_rewrite(652331),rewrite([974693(4),787000(4),787009(4)])]. 975609 x * T(y * a(y,x * L(x,z,u),L(x,z,u)),w) = L(x,z,u) * T((L(x,z,u) \ x) * y,w). [back_rewrite(975021),rewrite([975070(4)])]. 975612 L(x,y * L(y,z,u),L(y,w,v5)) = L(x,y,a(L(y,w,v5),z,u)). [back_rewrite(855883),rewrite([975071(5)])]. 975634 L(x,(y * z) * (y * L(z,u,w)),v5) = L(x,z * L(z,u,w),v5). [back_rewrite(747881),rewrite([975071(9)])]. 975654 L(x,L(y \ L(T(y,z),u,w),v5,v6),v7) = L(x,y * L(y,u,w),v7). [back_rewrite(625651),rewrite([975071(9)])]. 975670 L(x,L(L(y,z,u) \ y,w,v5),v6) = L(x,y * L(y,z,u),v6). [back_rewrite(422280),rewrite([975071(8)])]. 975671 L(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) = L(x,y * L(y,w,v5),v6). [back_rewrite(422279),rewrite([975071(9)])]. 975678 L(x,L(y \ L(y,z,u),w,v5),v6) = L(x,y * L(y,z,u),v6). [back_rewrite(422229),rewrite([975071(8)])]. 975680 x * a(y,a(z,u,y),x * L(y,u,z)) = y * ((L(y,u,z) \ x) * (y \ L(y,u,z))). [back_rewrite(975027),rewrite([975095(6),349543(6)]),flip(a)]. 975799 ((x \ L(x,y,z)) * u) \ L(u,w,a(v5,v6,v7)) = a(u,w,a(v5,v6,v7)) * (L(x,y,z) \ x). [back_rewrite(809229),rewrite([975095(3)])]. 975909 L(T(x,x \ 1) \ y,x,L(x,z,u)) = (x \ 1) * L(y,x,a(u,z,x)). [back_rewrite(658516),rewrite([975095(13),975096(13)])]. 975993 L(L((x \ L(x,y,z)) * u,w,v5),x,a(L(x,y,z),y,z)) = L((u / x) * L(x,y,z),w,v5). [back_rewrite(503499),rewrite([975095(3),975612(8)])]. 976010 ((L(x,y,z) \ x) * u) \ u = x \ L(x,y,z). [back_rewrite(491402),rewrite([975095(7),58(8),292972(7)])]. 976200 a(x \ ((L(y,z,u) \ y) * w),v5,v6) = a(x \ ((y \ L(y,z,u)) * w),v5,v6). [back_rewrite(306135),rewrite([975095(3),975147(8)]),flip(a)]. 976202 a((x * L(x,y,z)) \ u,w,v5) = a((x * L(x,y,z)) * u,w,v5). [back_rewrite(306101),rewrite([975095(3),65261(4)]),flip(a)]. 976304 x / (y * (L(y,z,u) \ K(w,v5))) = (y \ L(y,z,u)) * (x * K(v5,w)). [back_rewrite(180670),rewrite([975095(8),7726(10)])]. 976313 L((L(x,y,z) \ 1) \ u,x,L(x,y,z)) = x * (u * (x \ L(x,y,z))). [back_rewrite(165827),rewrite([975095(10),349543(10)])]. 976314 (x * (L(x,y,z) \ K(u,w))) \ v5 = K(w,u) * ((x \ L(x,y,z)) * v5). [back_rewrite(165809),rewrite([975095(9)])]. 976336 x / (L(y,z,u) \ y) = (y \ L(y,z,u)) * x. [back_rewrite(91470),rewrite([975095(6)])]. 976341 (L(x,y,z) \ x) * ((u / x) * L(x,y,z)) = x * L(x \ u,x,a(z,y,x)). [back_rewrite(650369),rewrite([975097(6)]),flip(a)]. 976350 L(x,L(y,z,u),y * L(y,z,u)) = L(x,y,a(u,z,y)). [back_rewrite(195795),rewrite([975097(5),50(4)]),flip(a)]. 976564 L(L(x,y,z) \ x,x * L(x,y,z),u) = L(x,y,z) \ x. [back_rewrite(950527),rewrite([975147(3),58(4),91472(3),395874(4)]),flip(a)]. 976590 L(x,y * L(y,z,u),y * L(y,z,u)) = x. [back_rewrite(938771),rewrite([975147(13),442410(14),23767(13),561(5),279864(9),51(5),324(4),306109(6)])]. 976652 ((L(x,y,z) \ x) * u) \ (u * a(w,v5,v6)) = L(x,y,z) * (x \ a(w,v5,v6)). [back_rewrite(826993),rewrite([975147(3)])]. 976745 L(x,y,(z * L(z,u,w)) * ((z * v5) * L(z,u,w))) = L(x,y,L(v5,z,L(z,u,w))). [back_rewrite(698075),rewrite([975147(9),85484(10),85886(8),697726(7)])]. 976848 a(x,y,L(y \ (z \ y),y,x)) = L(z,y,x) \ z. [back_rewrite(607875),rewrite([975147(9),58(10),91472(8)])]. 976919 a(x \ ((y \ L(y,z,u)) * w),v5,v6) = a(x \ ((y * L(y,z,u)) * w),v5,v6). [back_rewrite(502017),rewrite([975363(5),975147(8),976200(10)]),flip(a)]. 977001 (L(x,y,z) \ x) * ((L(x,y,z) \ x) * u) = (L(x,y,z) * L(x \ 1,y,z)) \ u. [back_rewrite(492151),rewrite([975147(3),58(4),91472(3)])]. 977002 x / ((y \ L(y,z,u)) * x) = L(y,z,u) \ y. [back_rewrite(492056),rewrite([975147(7),58(8),91472(7)])]. 977003 (x * (y \ L(y,z,u))) \ x = L(y,z,u) \ y. [back_rewrite(492055),rewrite([975147(7),58(8),91472(7)])]. 977007 ((x \ L(x,y,z)) * u) \ u = L(x,y,z) \ x. [back_rewrite(491636),rewrite([975147(7),58(8),91472(7)])]. 977145 (L(x,y,z) \ x) * (u * L(x,y,z)) = R(u / (1 / x),x,L(x,y,z)). [back_rewrite(351860),rewrite([975147(5)])]. 977398 x / (y \ L(y,z,u)) = (L(y,z,u) \ y) * x. [back_rewrite(293004),rewrite([975147(6)])]. 977594 x / (y \ (L(y,z,u) \ 1)) = x * (y * L(y,z,u)). [back_rewrite(434057),rewrite([975363(7),416467(5)]),flip(a)]. 977641 a(x,y,z) * L(u,z,a(x,y,z)) = (a(x,y,z) * z) * (z \ u). [back_rewrite(787009),rewrite([975599(8)])]. 977644 (a(x,y,z) * z) * (z \ u) = u * L(a(x,y,z),z,u). [back_rewrite(636250),rewrite([975599(4)])]. 977667 L(x,y,z) * (u * (L(x,y,z) \ x)) = x * L(u,x,a(L(x,y,z),y,z)). [back_rewrite(765766),rewrite([975612(4)]),flip(a)]. 977671 a(x,y * L(y,z,u),L(y,z,u)) = a(x,y,a(L(y,z,u),z,u)). [back_rewrite(721010),rewrite([975612(4),394194(4),5528(4)]),flip(a)]. 977885 (R(x \ 1,y,z) * u) * (R(x,y,z) \ x) = (x \ 1) * L(u,x,a(z,y,x)). [back_rewrite(812396),rewrite([975909(6)]),flip(a)]. 977974 a((x * L(x,y,z)) * (u * L(x,y,z)),w,v5) = a(L(x \ u,x,L(x,y,z)),w,v5). [back_rewrite(969676),rewrite([976202(10),131132(10),131115(8)])]. 977984 a((x * L(x,y,z)) * (L(x,y,z) * u),w,v5) = a(L(x \ u,x,L(x,y,z)),w,v5). [back_rewrite(797009),rewrite([976202(8),131132(8)])]. 977985 a((x * L(x,y,z)) * (u * L(L(x,y,z),x,x)),w,v5) = a(L(x \ u,x,L(x,y,z)),w,v5). [back_rewrite(796865),rewrite([976202(8),165922(8)])]. 977990 a(L(x \ L(x,y,z),u,w) \ v5,v6,v7) = a(L(x * L(x,y,z),u,w) * v5,v6,v7). [back_rewrite(307993),rewrite([976202(6),645947(6)]),flip(a)]. 978104 x * a(y,x,a(z,u,x)) = L(x,a(z,u,x),y). [back_rewrite(975154),rewrite([976350(5),395197(4),971771(3)]),flip(a)]. 978129 (x * L(x \ y,z,u)) \ y = L(y \ x,z,u) \ (y \ x). [back_rewrite(441571),rewrite([976564(12)]),flip(a)]. 978143 x * (y \ (L(y,z,u) \ 1)) = x / (y * L(y,z,u)). [back_rewrite(824786),rewrite([976590(5)]),flip(a)]. 978164 (x \ (y * L(y \ x,z,u))) \ w = w * (L(x \ y,z,u) \ (x \ y)). [back_rewrite(443765),rewrite([976590(14)])]. 978262 x * L(x \ y,x,a(z,u,x)) = L(y,x,a(z,u,x)). [back_rewrite(976341),rewrite([977145(6),974744(6)]),flip(a)]. 978398 (x * (y * L(y,z,u))) * L(y \ (L(y,z,u) \ 1),w,v5) = a(a(u,z,y),w,v5) * x. [back_rewrite(974179),rewrite([977594(5)])]. 978425 L(x,y,z) * T((L(x,y,z) \ x) * u,w) = x * L(T(u,w),x,a(L(x,y,z),y,z)). [back_rewrite(975609),rewrite([977671(4),394232(4),60(4)]),flip(a)]. 978447 R(a(x,y,z) / u,u,L(u,w,v5)) = (u \ 1) * a(x,y,z). [back_rewrite(812315),rewrite([977885(8),394423(5)]),flip(a)]. 978470 a(L(L(x,y,z) \ x,u,w) \ v5,v6,v7) = a(L(x * L(x,y,z),u,w) * v5,v6,v7). [back_rewrite(967369),rewrite([977990(10)])]. 978472 a(L(x * L(x,y,z),u,w) * L(x,u,w),v5,v6) = a(L(L(x,u,w),y,z),v5,v6). [back_rewrite(759785),rewrite([977990(6)])]. 978489 a(x,y,L(y * R(y,z,u),y,x)) = a(x,y,a(y,z,u)). [back_rewrite(790707),rewrite([978129(10),779434(10)])]. 978503 L(x \ y,y,z) \ (x \ y) = (y * ((z * y) \ (z * x))) \ x. [back_rewrite(608255),rewrite([978129(4)])]. 978519 a(x,y,L(y \ z,y,x)) = L(z \ y,y,x) \ (z \ y). [back_rewrite(603814),rewrite([978129(7)])]. 978535 (x * L(y / x,z,u)) \ (x * (y / x)) = L(y \ x,z,u) \ (y \ x). [back_rewrite(313677),rewrite([978129(10)])]. 978648 a(L(x,y,z) \ ((x * L(x,y,z)) \ u),w,v5) = a(x \ u,w,v5). [back_rewrite(969504),rewrite([978143(6),96321(6)])]. 978888 a(x,a(y,z,x),u * L(x,z,y)) = a(a(L(x,z,y),z,y),x,u). [back_rewrite(975034),rewrite([978425(6),413159(8),13983(4)]),flip(a)]. 978917 x \ L(R(x,y,z),a(z,y,x),u) = L(x \ R(x,y,z),x,u). [back_rewrite(790712),rewrite([978489(4),388186(5),973951(4),169908(5),396682(5)])]. 978958 x * a(a(L(y,z,u),z,u),y,x) = y * ((L(y,z,u) \ x) * (y \ L(y,z,u))). [back_rewrite(975680),rewrite([978888(4)])]. 978960 (L(x,y,z) \ x) * (u * a(a(L(x,y,z),y,z),x,u)) = x * (L(x,y,z) \ u). [back_rewrite(975030),rewrite([978888(6)])]. 978990 a(x,y,a(z,u,w \ v5)) = a(x,y,a(z,u,w * v5)). [para(60809(a,1),974609(a,1,3,3)),rewrite([68874(7)]),flip(a)]. 979001 a(x,y,a(z,u,a(w,v5,v6) * v7)) = a(x,y,a(z,u,v7 * a(w,v5,v6))). [para(385434(a,1),974609(a,1,3,3)),rewrite([974609(5)]),flip(a)]. 979002 a(x,y,a(z,u,w * (v5 \ w))) = a(x,y,a(z,u,v5)). [para(402396(a,1),974609(a,1,3,3)),rewrite([239473(3),978990(4),14988(7),72770(7)])]. 979004 a(x,y,L(z,u,w)) * a(v5,v6,a(x,y,z)) = L(a(x,y,L(z,u,w)) \ 1,v6,v5) \ 1. [para(974609(a,1),394583(a,1,2))]. 979015 a(x,y,a(z,u,w)) * a(z,u,L(w,v5,v6)) = L(a(z,u,L(w,v5,v6)) \ 1,y,x) \ 1. [para(974609(a,1),626663(a,1,2)),rewrite([6706(4),397087(7),974609(10),979004(10)])]. 979327 (x \ (L(y,z,u) * (y \ x))) \ 1 = (x * L(y,z,u)) \ (x * y). [hyper(295,a,911369,a,b,978129,a),rewrite([50(5),26458(5),5784(4),186944(8),186944(13),41109(14),27446(12),306638(11),7726(14),31850(13),32036(12),306810(12)]),flip(a)]. 979375 (L(x,y,z) * (x \ u)) \ u = (u * L(x,y,z)) \ (u * x). [para(411(a,2),978129(a,1,1,2,1)),rewrite([2195(5),307284(10),979327(10)])]. 979387 (x \ ((x / y) * (z * L(z \ y,u,w)))) \ 1 = ((x / y) * (z * L(z \ y,u,w))) \ x. [para(26452(a,2),978129(a,1,1,2,1)),rewrite([85939(7),307299(14)]),flip(a)]. 979435 L(x \ L(x,y,z),x \ u,u) \ 1 = (u * (L(x,y,z) * (x \ (u \ 1)))) \ 1. [para(95525(a,1),978129(a,1,1,2,1)),rewrite([655284(8),324(12),324(15),306585(14)]),flip(a)]. 979458 ((x \ y) \ (x \ L(y,z,u))) \ 1 = (x \ L(y,z,u)) \ (x \ y). [para(28563(a,1),978129(a,1,1)),rewrite([307371(10)]),flip(a)]. 979498 a(x * y,z,a(z,x,y)) = a(y * x,z,a(y,x,z)). [para(265975(a,1),978129(a,2,1)),rewrite([779198(6),973951(3),386985(4),396724(4),628106(3),820792(7)]),flip(a)]. 979500 L(x \ (y * R(y \ x,z,u)),w,v5) \ (x \ (y * R(y \ x,z,u))) = a(v5,w,a(x \ y,z,u)). [para(272488(a,1),978129(a,2,1,1)),rewrite([779198(8),397257(7),388135(5),49(5),272488(12)]),flip(a)]. 979501 a(x,y,a(z \ u,w,v5)) = a(x,y,a(u * z,w,v5)). [para(272488(a,2),978129(a,2,1,1)),rewrite([24474(9),779198(8),28759(6),825551(4),397257(5),388135(5),49(5),272488(7),979500(13)]),flip(a)]. 979560 (((x * y) * L(y,z,u)) \ T(x * L(y,z,u),w)) \ (y \ K(x * y,w)) = a(x * L(y,z,u),y,y). [para(441980(a,1),978129(a,2,1)),rewrite([5754(5),39887(5),26458(9),39625(6),77(5),49(2),809523(4)]),flip(a)]. 979577 T(x * L(a(y,z,u),w,v5),v6) \ T(a(y,z,u) * x,v6) = a(v5,w,a(y,z,u)). [para(384511(a,1),978129(a,1,1,2,1)),rewrite([490586(5),397817(12),397817(16),165686(16),388661(12)])]. 979633 L(x,(y \ z) * L(y \ z,u,w),v5) = L(x,y * (z * L(z \ y,u,w)),v5). [para(978129(a,1),28126(a,1,2,1)),rewrite([975670(9)])]. 979729 R((x * L(y,z,u)) \ (x * y),w,v5) = L((x * L(y,z,u)) \ (x * y),w,v5). [back_rewrite(413264),rewrite([979327(6),979327(11)])]. 979736 L(x \ (y \ x),z,u) \ (x \ (y \ x)) = (x * L(y,z,u)) \ (x * y). [back_rewrite(307284),rewrite([979327(12)])]. 979744 L(L(x \ 1,y,z),x,u) \ ((u * x) \ u) = (u * L(x,y,z)) \ (u * x). [back_rewrite(306639),rewrite([979327(13)])]. 979745 L((x * y) \ x,z,u) \ ((x * y) \ x) = (x * L(y,z,u)) \ (x * y). [back_rewrite(306638),rewrite([979327(12)])]. 979810 L(x \ ((x / y) * z),u,w) \ (x \ ((x / y) * z)) = ((x / y) * (z * L(z \ y,u,w))) \ x. [back_rewrite(307299),rewrite([979387(16)])]. 979829 L((x \ y) \ x,z,u) \ ((x \ y) \ x) = (x \ L(y,z,u)) \ (x \ y). [back_rewrite(307371),rewrite([979458(12)])]. 980161 L(x,L(T(y,z) \ u,w,v5) \ (y \ u),v6) = L(x,y * (u * L(u \ y,w,v5)),v6). [back_rewrite(697152),rewrite([979633(11)])]. 980393 (x \ (L(y,z,u) * (y \ x))) \ w = w * ((x * L(y,z,u)) \ (x * y)). [para(50(a,1),978164(a,1,1,2,2,1)),rewrite([304426(4),979745(11)])]. 980395 x * (L(y \ L(y,z,u),w,v5) \ 1) = L(y \ L(y,z,u),w,v5) \ x. [para(56(a,1),978164(a,2,2,1,1)),rewrite([24474(9),50(5),24474(6),323(2),69933(5),56(6),56(10),306590(8)]),flip(a)]. 980399 (x \ ((x / y) * L(y,z,u))) \ w = w * ((x * L(y,z,u)) \ (x * y)). [para(340(a,1),978164(a,1,1,2,2,1)),rewrite([307366(11),979736(11)])]. 980449 ((x \ y) \ (x \ L(y,z,u))) \ w = w * ((x \ L(y,z,u)) \ (x \ y)). [para(28563(a,1),978164(a,1,1,2)),rewrite([979829(11)])]. 980585 x / (y \ (L(z,u,w) * (z \ y))) = x * ((y * L(z,u,w)) \ (y * z)). [back_rewrite(305007),rewrite([980393(10)])]. 980629 (L(x \ L(x,y,z),u,w) \ 1) * v5 = L(x \ L(x,y,z),u,w) \ v5. [back_rewrite(468491),rewrite([980395(6),973132(5)]),flip(a)]. 980636 L(x \ L(x,y,z),u,w) \ R(x,u,w) = L(1 / R(x,u,w),y,z) \ 1. [back_rewrite(355033),rewrite([980395(7)])]. 980637 L(x \ L(x,y,z),u,w) \ L(x,u,w) = L(1 / L(x,u,w),y,z) \ 1. [back_rewrite(335548),rewrite([980395(7)])]. 980674 L(x,y,z) * ((u * L(x,y,z)) \ (u * x)) = x * a(u,x,a(x,y,z)). [back_rewrite(874761),rewrite([980399(6)])]. 980695 R(x,y,L(z \ L(z,u,w),z,v5) \ v6) = R(x,y,v6 * ((v5 * L(z,u,w)) \ (v5 * z))). [back_rewrite(670637),rewrite([980399(10)])]. 980793 x \ ((L(y \ L(y,z,u),w,v5) \ 1) \ x) = L(y \ L(y,z,u),w,v5). [back_rewrite(493452),rewrite([980629(6),432002(5),975147(3),976010(4),432002(7),975147(4),49(4),975095(4),49(4)]),flip(a)]. 980861 L(x,a(y,z,L(x,z,y)),z) = x * a(z,x,a(x,z,y)). [back_rewrite(635504),rewrite([980674(6)]),flip(a)]. 980868 (L(x \ L(x,y,z),u,w) \ 1) \ v5 = v5 * L(x \ L(x,y,z),u,w). [back_rewrite(626219),rewrite([980793(7),305848(4)]),flip(a)]. 980930 x / (L(y \ L(y,z,u),w,v5) \ K(v6,v7)) = x * L(y * L(y \ K(v7,v6),z,u),w,v5). [back_rewrite(307228),rewrite([980868(6),7726(6),26653(5),70411(4)]),flip(a)]. 980932 x / (L(y \ L(y,z,u),w,v5) \ 1) = x * L(y \ L(y,z,u),w,v5). [back_rewrite(305816),rewrite([980868(12)])]. 980939 L(x,y * L(y,z,u),L(y * L(y,z,u),w,v5)) = x. [back_rewrite(625699),rewrite([980930(6),70355(4),89886(12),626310(9),975654(8)])]. 980958 L(x \ L(x,y,z),u,w) \ a(v5,v6,a(z,y,x)) = L(L(x \ L(x,y,z),u,w),v6,v5) \ 1. [hyper(7088,a,355091,a,b,980395,a),rewrite([305638(6),408211(12),975147(10),49(10),408211(9),323(7),408(8),305638(21),354134(21),354827(22),293077(14),269343(21),306590(17),304101(15),974415(14),58(13),547(12),5530(12),388135(13),49(13)]),flip(a)]. 980961 L(x \ L(x,y,z),u,w) \ a(a(z,y,x),v5,v6) = L(L(x \ L(x,y,z),u,w) \ 1,v5,v6). [hyper(7088,a,173697,a,b,980395,a),rewrite([293077(5),413253(6),408211(12),975147(10),49(10),408211(9),323(7),408(8),413253(22),62149(23),293077(19),354827(22),293077(14),304101(21),324(18),48(18),305327(17),304101(15),974415(14),58(13),547(12),5530(12)]),flip(a)]. 980969 (L(x \ L(x,y,z),u,w) * v5) * T(v6,v5) = v6 * (v5 * L(x \ L(x,y,z),u,w)). [hyper(7088,a,626475,a(flip),b,980395,a),rewrite([408211(12),975147(10),49(10),408211(9),323(7),408(8),975456(15),70949(16),980868(13),7733(14),81685(13),973881(12),24271(12)])]. 980972 L(L(x \ L(x,y,z),u,w),v5,a(v6,v7,v8)) = L(x \ L(x,y,z),u,w). [hyper(7088,a,394194,a(flip),b,980395,a),rewrite([408211(11),975147(9),49(9),408211(8),323(6),408(7),395103(15),395104(14),13654(12),973812(14),394553(13),432002(12),975147(9),49(9),975095(9),49(9)])]. 980992 (L(x \ L(x,y,z),u,w) \ v5) * L(L(x \ L(x,y,z),v6,v7),u,w) = v5 * a(a(z,y,x),v6,v7). [hyper(5142,a,646032,a,b,980395,a),rewrite([974622(4),386756(7),980932(13),443870(11),86937(10),457477(9),150413(9),974091(9),974622(13),386756(12)])]. 981013 L(x \ L(x,y,z),x,L(x,y,z) \ u) \ 1 = u \ (x * (L(x,y,z) \ u)). [hyper(5083,a,96931,a(flip),b,980395,a),rewrite([118328(5),505645(5),381611(8),323(6),408(7),506154(6)]),flip(a)]. 981014 L(x * ((y \ L(y,z,u)) / x),w,v5) \ K(x,x \ 1) = L(y \ L(y,z,u),w,v5) \ 1. [hyper(5083,a,367,a(flip),b,980395,a),rewrite([379409(5),378715(10),409113(9),323(6)])]. 981024 L(x \ L(x,y,z),u,w) \ L(x \ L(x,y,z),v5,v6) = a(a(z,y,x),v5,v6) * a(w,u,a(z,y,x)). [hyper(5081,a,344103,a,b,980395,a),rewrite([304101(6),974415(5),58(4),547(3),975278(8),980395(14)]),flip(a)]. 981103 L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) \ 1 = L(L(L(x,y,z) \ x,v5,v6) \ 1,u,w). [hyper(5083,a,980395,a(flip),b,106454,a(flip)),rewrite([277541(17),305638(14),159097(15),306590(13),304101(11),974415(10),58(9),547(8),5530(8),388135(9),49(9),195094(8),975147(4),49(4),975095(5),457477(5),70511(5),975259(5),504347(14),293077(11)]),flip(a)]. 981109 x * (L(L(y \ L(y,z,u),w,v5),v6,v7) \ 1) = L(L(y \ L(y,z,u),w,v5),v6,v7) \ x. [para(63(a,2),980395(a,1,2,1,1,2)),rewrite([63(3),304458(4),304458(11)])]. 981120 (x * (L(y \ L(y,z,u),w,v5) \ a(v6,v7,v8))) / (L(y \ L(y,z,u),w,v5) \ x) = a(v6,v7,v8). [para(980395(a,1),15157(a,1,2)),rewrite([980629(7),28083(18),975678(16),458269(15)])]. 981156 a(x * (L(y \ L(y,z,u),w,v5) \ v6),v7,v8) = a(x * (v6 * L(y \ L(y,z,u),w,v5)),v7,v8). [para(980395(a,2),68916(a,1,1,2,1)),rewrite([980395(7),980868(6)]),flip(a)]. 981159 a(x,y,L(z \ L(z,u,w),v5,v6) \ v7) = a(x,y,L(z \ L(z,u,w),v5,v6) * v7). [para(980395(a,2),72848(a,1,3,1)),rewrite([980395(7),980629(6)])]. 981163 L(x,y,L(z \ L(z,u,w),v5,v6) \ v7) = L(x,y,L(z \ L(z,u,w),v5,v6) * v7). [para(980395(a,2),83104(a,1,3,1)),rewrite([980395(7),980629(6)])]. 981214 R(x,y,L(z \ L(z,u,w),v5,v6) \ v7) = R(x,y,L(z * L(z,u,w),v5,v6) * v7). [para(980395(a,2),217015(a,1,3,1)),rewrite([980395(7),980629(6),840202(10)])]. 981241 (L(x \ L(x,y,z),u,w) \ v5) * a(v6,v7,v8) = v5 * (L(x \ L(x,y,z),u,w) \ a(v6,v7,v8)). [para(980395(a,1),398776(a,2,1)),rewrite([784482(7),48(5),784027(5),784482(4),13654(2),458270(4),980629(7)]),flip(a)]. 981247 a(x \ L(y \ L(y,z,u),w,v5),v6,v7) = a(x \ L(y * L(y,z,u),w,v5),v6,v7). [para(980395(a,1),403505(a,1,1)),rewrite([26414(9),422231(7),977990(9),401861(8),12554(7),68848(7),96371(12)]),flip(a)]. 981287 a(x * (L(y * L(y,z,u),w,v5) * v6),v7,v8) = a(x * (v6 * L(y \ L(y,z,u),w,v5)),v7,v8). [para(980395(a,2),758229(a,2,1,2)),rewrite([422231(11),975678(11),980939(10),626196(6),980395(12),981156(12)])]. 981347 L(x,y,L(L(z,u,w) \ z,v5,v6) \ v7) = L(x,y,L(z \ L(z,u,w),v5,v6) * v7). [back_rewrite(944545),rewrite([981163(10)])]. 981360 R(x,y,L(z * L(z,u,w),z,v5) * v6) = R(x,y,v6 * ((v5 * L(z,u,w)) \ (v5 * z))). [back_rewrite(980695),rewrite([981214(5)])]. 981361 R(x,y,L(L(z,u,w) \ z,v5,v6) \ v7) = R(x,y,L(z * L(z,u,w),v5,v6) * v7). [back_rewrite(841329),rewrite([981214(10)])]. 981376 a(x \ L((y * z) * L(y * z,u,w),y,y),v5,v6) = a(x \ ((y \ z) * L(y \ z,u,w)),v5,v6). [back_rewrite(759372),rewrite([981247(7)])]. 981416 (L(L(x \ L(x,y,z),u,w),v5,v6) \ v7) * L(x \ L(x,y,z),u,w) = v7 * a(v6,v5,a(z,y,x)). [hyper(5083,a,626380,a(flip),b,980629,a),rewrite([974622(13),981241(12),980958(11),981109(12),980868(11),974622(13)])]. 981460 L(x,x,L(y * L(y,z,u),w,v5)) = L(x,x,a(u,z,y)). [hyper(5083,a,980629,a(flip),b,488279,a),rewrite([413253(6),354781(11),980868(11),981416(9),632855(3),393579(2),26414(8),422231(6)]),flip(a)]. 981490 (x * y) / T(L(z \ L(z,u,w),v5,v6) \ x,y) = (L(z \ L(z,u,w),v5,v6) \ x) \ (x * y). [para(980629(a,1),112107(a,1,2,1)),rewrite([980868(11),380545(10),416403(9),323(6),49(7),980629(13)])]. 981543 (x * y) / (L(z \ L(z,u,w),v5,v6) \ y) = (L(z \ L(z,u,w),v5,v6) \ y) \ (y * x). [para(980629(a,1),819330(a,1,2)),rewrite([705617(6),981490(7),980629(13)]),flip(a)]. 981547 a(x \ L(y * L(y,z,u),w,v5),v6,v7) = a(L(y * L(y,z,u),w,v5) * x,v6,v7). [para(980629(a,2),671678(a,2,1)),rewrite([422231(12),981460(12),784482(10),394186(11),981247(5),980629(11),977990(10)])]. 981572 a(L((x * y) * L(x * y,z,u),x,x) * w,v5,v6) = a(w \ ((x \ y) * L(x \ y,z,u)),v5,v6). [back_rewrite(981376),rewrite([981547(7)])]. 981738 L((x * L(y,z,u)) \ (x * y),y * L(y,z,u),w) = (x * L(y,z,u)) \ (x * y). [para(57669(a,2),976564(a,1,1,1)),rewrite([979744(7),979633(11),50(7),975634(9),979745(13)])]. 981769 a(x,y \ (x \ y),x \ y) = ((x \ y) / y) * x. [hyper(5081,a,77147,a(flip),b,974709,a),rewrite([106555(5),682510(7),739963(12),784482(10),394423(10)]),flip(a)]. 981773 L(x * y,y,x) \ (x * y) = a(x,y,x * y). [hyper(295,a,85130,a,b,974709,a),rewrite([626141(5),324(4)]),flip(a)]. 981867 (L(x,y,z) \ x) * (a(z,y,x) \ u) = a(x,a(z,y,x),z * y) * u. [para(974709(a,1),159652(a,1,1,1)),rewrite([400178(8),397171(13),626803(8)])]. 981875 a(x,y,z) * (z \ L(z,y,x)) = a(y * (x \ z),z,a(x,y,z)). [para(974709(a,1),159097(a,1,2,1)),rewrite([975095(5),49(5),974709(7),975095(8),457477(8),628215(8)])]. 981907 a(x,y,z) \ (L(z,y,x) \ z) = a(z,a(x,y,z),x * y). [para(974709(a,1),304556(a,2,2)),rewrite([397070(5),398911(9),626803(3)]),flip(a)]. 981908 L(a(L(x,y,z),L(x * L(x,u,w),y,z),v5),v5,x) = a(a(L(x,y,z),u,w),x,v5). [para(304637(a,1),974709(a,1,3)),rewrite([626188(5),792499(8),792499(7),975678(11),975612(10),395220(10)])]. 981913 (x * (L(y,z,u) \ y)) \ (x * a(u,z,y)) = a(z * (u \ y),y,a(u,z,y)). [para(974709(a,1),313446(a,1,2,1)),rewrite([824044(6),976652(6),628215(4),974709(7)]),flip(a)]. 981917 L(x,y,z * L(z,u,w)) = L(x,y,a(w,u,z)). [para(974709(a,1),339196(a,1,3)),rewrite([165303(3)])]. 981931 (a(x,y,z) \ u) * (L(z,y,x) \ z) = a(z,a(x,y,z),x * y) * u. [para(974709(a,1),381173(a,1,1,1)),rewrite([547(5),6706(5),442410(5),981867(5),6706(6),974709(9)]),flip(a)]. 981944 L(x,y,z * (u * L(u,w,v5))) = L(x,y,a(v5,w,u) * z). [para(974709(a,1),384778(a,1,3,2)),rewrite([165309(4)])]. 981970 a(x * (y \ z),z,a(y,x,z)) = a(y * x,z,a(y,x,z)). [para(974709(a,1),593601(a,1,3)),rewrite([975332(4),974709(6),981913(9)]),flip(a)]. 981999 L(x,y * L(y,z,u),w) = L(x,a(u,z,y),w). [para(974709(a,1),454556(a,1,2)),rewrite([165220(3)])]. 982004 L(x,y * (z * L(z \ y,u,w)),v5) = L(x,a(w,u,y \ z),v5). [para(974709(a,2),239869(a,1,2)),rewrite([13992(3),26514(6),974709(5),165220(5),981999(5),980161(9)]),flip(a)]. 982005 L(x,y,(z * L(z,u,w)) * v5) = L(x,y,a(w,u,z) * v5). [para(974709(a,1),397382(a,1,3,1)),rewrite([697726(4)])]. 982047 L(x,L(y,z,u) * x,a(u,z,y)) \ y = (x \ L(y,z,u)) * (L(y,z,u) \ y). [para(974709(a,2),95532(a,1,1,3)),rewrite([974709(5),841813(5),981917(5),784482(4)])]. 982324 R(x,y,z \ L(z,u,w)) = L(x,y,a(w,u,z)). [back_rewrite(841811),rewrite([981917(6)])]. 982505 L(x,y,L((z * u) * L(z * u,w,v5),z,z)) = L(x,y,a(v5,w,z \ u)). [back_rewrite(775430),rewrite([981917(11)])]. 982713 (x \ L(x,y,z)) * (u \ L(u,w,v5)) = L(x,y,z) * (x \ (u \ L(u,w,v5))). [back_rewrite(457491),rewrite([981917(5),395248(4)])]. 982722 L(x,y,L(z * L(z,u,w),v5,v6)) = L(x,y,a(w,u,L(z,v5,v6))). [back_rewrite(422299),rewrite([981917(5)]),flip(a)]. 982873 L(x,y,L(z,u,w) \ z) = L(x,y,a(w,u,z)). [back_rewrite(165303),rewrite([981917(6)])]. 983036 L(x,y,z * L(u * L(u,w,v5),v6,v7)) = L(x,y,a(v5,w,L(u,v6,v7)) * z). [back_rewrite(629604),rewrite([981944(6)]),flip(a)]. 983092 a(x,y,z) * (z \ L(z,y,x)) = a(x * y,z,a(x,y,z)). [back_rewrite(981875),rewrite([981970(8)])]. 983093 L(x,y,z) * (x \ a(z,y,x)) = a(z * y,x,a(z,y,x)). [back_rewrite(628215),rewrite([981970(8)])]. 983106 L((x * L(y,z,u)) \ (x * y),a(u,z,y),w) = (x * L(y,z,u)) \ (x * y). [back_rewrite(981738),rewrite([981999(7)])]. 983268 L(x,L(y \ L(y,z,u),w,v5),v6) = L(x,a(u,z,y),v6). [back_rewrite(975678),rewrite([981999(7)])]. 983274 L(x,a(y,z,L(u,w,v5)),v6) = L(x,a(y,z,u),v6). [back_rewrite(975671),rewrite([981999(5),981999(6)])]. 983275 L(x,L(L(y,z,u) \ y,w,v5),v6) = L(x,a(u,z,y),v6). [back_rewrite(975670),rewrite([981999(7)])]. 983325 L(x,y,a(L(y,z,u),w,v5)) = L(x,y,a(v5,w,y)). [back_rewrite(975612),rewrite([981999(4),635974(3),627098(2)]),flip(a)]. 983469 R(x,L(y,z,u) \ y,w) = L(x,a(u,z,y),w). [back_rewrite(824625),rewrite([981999(6)])]. 983780 (x \ L(x,y,z)) * ((L(x,u,w) \ x) * v5) = (L(x,u,w) \ L(x,y,z)) * v5. [back_rewrite(382636),rewrite([981999(5),396752(4)])]. 983843 L(x,a(y,z,u \ w),v5) = L(x,a(y,z,u * w),v5). [back_rewrite(305968),rewrite([981999(5),982004(8)]),flip(a)]. 983866 L(x,L(y,z,u) \ y,w) = L(x,a(u,z,y),w). [back_rewrite(165220),rewrite([981999(6)])]. 983870 L(x,y \ L(y,z,u),w) = L(x,a(u,z,y),w). [back_rewrite(82976),rewrite([981999(6)])]. 983977 L(x,y,z * (a(u,w,z) * (L(z,w,u) * v5))) = L(x,y,L(v5,z,L(z,w,u))). [back_rewrite(976745),rewrite([982005(7),644473(6)])]. 984032 L(x,y,L(z \ L(z,u,w),v5,v6) * v7) = L(x,y,a(w,u,L(z,v5,v6)) * v7). [back_rewrite(698356),rewrite([982005(6)]),flip(a)]. 984035 L(x,y,(L(z,u,w) \ z) * v5) = L(x,y,a(w,u,z) * v5). [back_rewrite(697726),rewrite([982005(8)])]. 984069 L(x,y,(z \ L(z,u,w)) * v5) = L(x,y,a(w,u,z) * v5). [back_rewrite(697595),rewrite([982005(8)])]. 984119 L(x,y,a(z,u,L(w * v5,w,w))) = L(x,y,a(z,u,w \ v5)). [back_rewrite(982505),rewrite([982722(6)])]. 984210 L(x,y,L(L(z,u,w) \ z,v5,v6)) = L(x,y,a(w,u,L(z,v5,v6))). [back_rewrite(422291),rewrite([982722(8)])]. 984213 L(x,y,L(z \ L(z,u,w),v5,v6)) = L(x,y,a(w,u,L(z,v5,v6))). [back_rewrite(422231),rewrite([982722(8)])]. 984316 L(x,y,a(z,u,L(w,w,v5)) * v5) = L(x,y,L(w,u,z) * (w \ v5)). [back_rewrite(701799),rewrite([983036(5)])]. 984335 L(x,y,z * L(u \ L(u,w,v5),v6,v7)) = L(x,y,a(v5,w,L(u,v6,v7)) * z). [back_rewrite(629456),rewrite([983036(10)])]. 984340 x * a(y,x,a(x,y,z)) = L(x,a(z,y,x),y). [back_rewrite(980861),rewrite([983274(3)]),flip(a)]. 984349 L(L(x,a(y,z,x),z),z,y) = a(y,z,L(x,z,y)) \ x. [back_rewrite(797724),rewrite([983274(3)])]. 984393 L(x,y,z) * a(z,y,L(x,y,z)) = L(x,a(z,y,x),y). [back_rewrite(627281),rewrite([983274(7)])]. 984407 L(x,(y * L(z,y,u)) \ (y * z),w) = L(x,a(u,y,z),w). [back_rewrite(607687),rewrite([983274(3)]),flip(a)]. 984464 L(x,y,z) * (u * (L(x,y,z) \ x)) = x * L(u,x,a(z,y,x)). [back_rewrite(977667),rewrite([983325(8)])]. 984479 L(L((x \ L(x,y,z)) * u,w,v5),x,a(z,y,x)) = L((u / x) * L(x,y,z),w,v5). [back_rewrite(975993),rewrite([983325(7)])]. 984542 L(x,a(y,y * z,y * z),u) = L(x,y \ (z * (y \ z)),u). [back_rewrite(605551),rewrite([983843(4),402886(3),983843(4)])]. 984573 L(x,y,L(L(z,u,w) \ z,v5,v6) \ v7) = L(x,y,a(w,u,L(z,v5,v6)) * v7). [back_rewrite(981347),rewrite([984032(10)])]. 984579 L(x,y,z * L(L(u,w,v5) \ u,v6,v7)) = L(x,y,a(v5,w,L(u,v6,v7)) * z). [back_rewrite(701603),rewrite([984032(5)]),flip(a)]. 984616 a(x,a(y,z,L(u,z,y)),w) = a(x,a(y,z,u),w). [back_rewrite(607931),rewrite([984407(8),396724(6)])]. 984677 a(x,y \ (L(z,y,u) * (z \ y)),w) = a(x,a(u,y,z),w). [back_rewrite(604309),rewrite([984616(3)]),flip(a)]. 984736 L(x \ L(x,y,z),u,w) \ (L(x,u,w) \ x) = L(L(x,u,w),y,z) \ x. [hyper(5081,a,461212,a(flip),b,982047,a),rewrite([411(6),975095(5),377886(5),323(3),48(4),306590(6),980395(8),411(10),975095(9),377886(9),323(7),48(8),411(13),975095(12),377886(12),323(10),48(11),981999(14),400178(12)])]. 984740 L(L(x,a(y,z,x),y * z),z,y) = a(y,z,x) \ x. [hyper(295,a,464051,a,b,982047,a),rewrite([474678(8),474689(6),626803(5),626141(5),49(4),981931(8),195715(7),396646(6)]),flip(a)]. 984774 (x \ L(L(x,y,z),u,w)) \ (x \ L(x,y,z)) = L(x \ L(x,u,w),y,z) \ 1. [hyper(5083,a,434008,a,b,982047,a(flip)),rewrite([148178(6),638177(9),292972(6),306590(10)])]. 984840 x * L(x \ L(x,y,y),z,u) = a(y,y,L(x,z,u)) \ x. [para(85130(a,1),982047(a,2,1)),rewrite([757724(6),784027(9),784482(8),784525(8),53(5),49(4),394423(4),305571(8)]),flip(a)]. 984872 (a(x,y,z) * L(u,w,v5)) \ u = a(x,y,z) \ (L(u,w,v5) \ u). [para(7751(a,2),982047(a,1,1,2)),rewrite([7751(8),82837(10),792499(7),150510(6),792499(6),784027(7),400178(6),397262(9),397122(10)])]. 984880 (L(1 / L(x,y,z),u,w) \ 1) * (L(x,y,z) \ x) = L(x \ L(x,u,w),y,z) \ x. [para(304637(a,1),982047(a,1,1,2)),rewrite([784027(7),784027(6),980972(5),980637(9)]),flip(a)]. 985053 x * L(a(y,y,x) \ 1,z,u) = a(y,y,L(x,z,u)) \ x. [back_rewrite(308256),rewrite([984840(9)])]. 985059 L(x,y,z) \ (a(z,y,L(x,y,z)) \ x) = a(y,x,a(z,y,x)). [back_rewrite(974540),rewrite([984872(5),646032(5)])]. 985124 x \ R(x,y,L(y,z,u)) = a(x,y,L(y,z,u)). [hyper(295,a,265975,a(flip),b,981917,a),rewrite([401608(2),401772(4),395884(7)]),flip(a)]. 985239 a(x \ ((y * L(y,z,u)) \ w),v5,v6) = a(x \ ((y * L(y,z,u)) * w),v5,v6). [para(981917(a,1),758917(a,1,1,2)),rewrite([981999(7),400178(6)]),flip(a)]. 985241 L(x,y,(z * L(z,u,w)) \ v5) = L(x,y,a(w,u,z) * v5). [para(981917(a,1),758652(a,1,3)),rewrite([981999(7),400178(6),982005(4)]),flip(a)]. 985248 a(x \ (y * L(y,z,u)),w,v5) = a((y * L(y,z,u)) * x,w,v5). [para(981917(a,1),671678(a,1,1)),rewrite([784482(8),784538(8),784542(8),394186(9),976202(8)])]. 985253 a(x,y,R(y,z,u)) = a(x,y,L(y,z,u)). [back_rewrite(413367),rewrite([985124(3),453188(5)]),flip(a)]. 985292 a(L(x,y,z) \ ((x * L(x,y,z)) * u),w,v5) = a(x \ u,w,v5). [back_rewrite(978648),rewrite([985239(6)])]. 985295 L(x,y,L(z \ u,z,L(z,w,v5))) = L(x,y,a(v5,w,z) * (u * L(z,w,v5))). [back_rewrite(799304),rewrite([985241(6)]),flip(a)]. 985301 a(L((x * y) * L(x * y,z,u),x,x) * w,v5,v6) = a(((x \ y) * L(x \ y,z,u)) * w,v5,v6). [back_rewrite(981572),rewrite([985248(13)])]. 985325 a(x \ (L(y,z,u) \ y),w,v5) = a((y * L(y,z,u)) * x,w,v5). [back_rewrite(269771),rewrite([985248(8)])]. 985390 a(x,R(y,z,u),y) = a(x,y,L(y,z,u)). [back_rewrite(297886),rewrite([985253(4)])]. 985411 a(x,y,L(z,u,w)) \ a(a(x,y,z),v5,v6) = L(a(x,y,L(z,u,w)) \ 1,v5,v6). [para(974427(a,1),398601(a,1,2))]. 985426 L(x,y,a(z,u,L(w,v5,v6))) = L(x,y,a(z,u,w)). [para(974427(a,1),627135(a,1,1,1)),rewrite([454288(5),389271(5),50(2),394232(3)]),flip(a)]. 985546 L(x,y,L(z \ L(z,u,w),v5,v6)) = L(x,y,a(w,u,z)). [back_rewrite(984213),rewrite([985426(7)])]. 985549 L(x,y,L(L(z,u,w) \ z,v5,v6)) = L(x,y,a(w,u,z)). [back_rewrite(984210),rewrite([985426(7)])]. 985627 L(x,y,a(z,u,w \ v5)) = L(x,y,a(z,u,w * v5)). [back_rewrite(984119),rewrite([985426(4)]),flip(a)]. 986185 L(x,y,a(z,u,(w * v5) * v6)) = L(x,y,a(z,u,v5 * (w \ v6))). [para(11892(a,1),985426(a,1,3,3)),rewrite([985627(4),985627(8)])]. 986193 L(x,y,a(z,u,(w \ v5) * v6)) = L(x,y,a(z,u,v5 * (w * v6))). [para(60487(a,1),985426(a,1,3,3)),rewrite([985627(4),985627(8)]),flip(a)]. 986719 a(x,L(y * L(y,z,u),w,v5),v6) = a(x,y * L(y,z,u),v6). [para(975260(a,1),12186(a,1,2)),rewrite([50864(6),626188(4),163152(7)])]. 986720 L(x \ L(x,y,z),u,(w \ v5) * v6) \ 1 = L(x \ L(x,y,z),u,v5 * (w * v6)) \ 1. [para(12534(a,1),975260(a,1,1)),rewrite([396183(4),975260(7),84993(12)]),flip(a)]. 986723 L(x \ L(x,y,z),u,w \ v5) \ 1 = L(x \ L(x,y,z),u,v5 * w) \ 1. [para(12554(a,1),975260(a,1,1)),rewrite([395104(3),975260(6),26402(10)]),flip(a)]. 986724 L(x \ L(x,y,z),u \ w,v5) \ 1 = L(x \ L(x,y,z),u * w,v5) \ 1. [para(13936(a,1),975260(a,1,1)),rewrite([785946(3),975260(6),26514(11)]),flip(a)]. 986726 L(x \ L(x,y,z),L(u,w,v5),v6) \ 1 = L(x \ L(x,y,z),u,v6) \ 1. [para(14826(a,1),975260(a,1,1)),rewrite([785309(3),975260(5),28056(10),307960(9)]),flip(a)]. 986739 L(x \ L(x,y,z),u,L(w,v5,v6)) \ 1 = L(x \ L(x,y,z),u,w) \ 1. [para(28010(a,1),975260(a,2,1)),rewrite([395103(5),12077(4),975260(5)]),flip(a)]. 986742 x * (L(L(y,z,u) \ y,w,v5) \ 1) = L(L(y,z,u) \ y,w,v5) \ x. [para(975260(a,1),26378(a,1,1)),rewrite([7732(11),16926(12),16927(9),980868(6),7735(7),17022(6),975258(5),599684(6),7735(6),457477(5),70511(5),975259(5),6706(10),386756(10),48(10),974390(11)])]. 986745 L(x \ L(x,y,z),u,(w * v5) * v6) \ 1 = L(x \ L(x,y,z),u,v5 * (w \ v6)) \ 1. [para(46299(a,1),975260(a,1,1)),rewrite([395380(4),975260(7),83134(13)]),flip(a)]. 986757 (L(L(x,y,z) \ x,u,w) \ 1) * v5 = L(L(x,y,z) \ x,u,w) \ v5. [para(975260(a,1),72702(a,1,1)),rewrite([379966(10),380350(11),980629(12),463877(10),308036(10),975095(10),49(10),975258(9)]),flip(a)]. 986769 a(x * (y * L(z \ L(z,u,w),v5,v6)),v7,v8) = a(((z * L(z,u,w)) * y) * x,v7,v8). [para(975260(a,1),102431(a,2,1,2,1)),rewrite([983469(8),399104(7),7735(6),12669(8),599253(5),980629(11),981156(11)]),flip(a)]. 986774 a(x,y,L(L(z,u,w) \ z,v5,v6) * v7) = a(x,y,L(z \ L(z,u,w),v5,v6) * v7). [para(975260(a,1),73040(a,2,3,1)),rewrite([386756(4),48(4),974390(5),980629(11),981159(10)])]. 986787 (L(L(x,y,z) \ x,u,w) \ 1) \ v5 = v5 * L(L(x,y,z) \ x,u,w). [para(975260(a,1),277868(a,1,2,1)),rewrite([379966(5),980868(11),380349(10),342950(10),342826(9),351076(8),977003(6),975095(10),49(10),975258(9)]),flip(a)]. 986791 a(x,y,a(z,u,u)) * (L(u,L(u,w,v5),z) \ u) = L(u \ L(u,L(u,w,v5),z),y,x) \ 1. [para(401608(a,1),975260(a,1,1,3)),rewrite([974609(3)])]. 986837 a(L(x * L(x,y,z),u,w) * v5,v6,v7) = a((x * L(x,y,z)) * v5,v6,v7). [para(975260(a,1),12619(a,2,1,2)),rewrite([5531(5),12541(7),165470(4),980395(10),977990(9)]),flip(a)]. 986839 a(x * L(y * L(y,z,u),w,v5),v6,v7) = a((y * L(y,z,u)) * x,v6,v7). [para(975260(a,1),46976(a,2,1,1)),rewrite([386756(4),48(4),974390(5),972959(5),980629(11),977990(10),986837(10)])]. 986847 L(a(L(x,y,z),x * L(x,u,w),v5),v5,x) = a(a(L(x,y,z),u,w),x,v5). [back_rewrite(981908),rewrite([986719(5)])]. 986853 a(x,y \ (L(z,u,w) * (z \ y)),v5) = a(x,z * L(z,u,w),v5). [back_rewrite(687440),rewrite([986719(4)]),flip(a)]. 986875 L(x \ L(x,y,z),x,u) \ 1 = u \ (x * (L(x,y,z) \ u)). [back_rewrite(981013),rewrite([986723(7),699775(5)])]. 986878 L(x \ L(x,y,z),x * u,u) \ 1 = (u * (L(x,y,z) * (x \ (u \ 1)))) \ 1. [back_rewrite(979435),rewrite([986724(6)])]. 986882 L(x \ L(x,y,z),x * u,u) \ 1 = L((x \ u) * u,y,z) \ ((x \ u) * u). [back_rewrite(307355),rewrite([986724(6)])]. 986889 (L(L(x,y,z) \ x,u,w) \ x) / L(x,y,z) = a(w,u,a(z,y,x)). [back_rewrite(975203),rewrite([986742(6)])]. 986890 L(a(x,y,a(z,u,w)) * w,u,z) = L(L(w,u,z) \ w,y,x) \ w. [back_rewrite(975200),rewrite([986742(10)])]. 986891 a(x,y,a(z,u,w)) * (v5 * (w \ L(w,u,z))) = L(L(w,u,z) \ w,y,x) \ v5. [back_rewrite(975198),rewrite([986742(12)])]. 987021 a(x * (L(y * L(y,z,u),w,v5) * v6),v7,v8) = a(((y * L(y,z,u)) * v6) * x,v7,v8). [back_rewrite(981287),rewrite([986769(12)])]. 987022 a(x * (L(y \ L(y,z,u),w,v5) \ v6),v7,v8) = a(((y * L(y,z,u)) * v6) * x,v7,v8). [back_rewrite(981156),rewrite([986769(12)])]. 987042 x / (L(L(y,z,u) \ y,w,v5) \ 1) = x * L(L(y,z,u) \ y,w,v5). [back_rewrite(428012),rewrite([986787(12)])]. 987046 a(((x \ y) * L(x \ y,z,u)) * w,v5,v6) = a(((x * y) * L(x * y,z,u)) * w,v5,v6). [back_rewrite(985301),rewrite([986837(7)]),flip(a)]. 987067 a(x * (L(x,y,z) * L(x,u,w)),v5,v6) = a(L(L(x,y,z),u,w),v5,v6). [back_rewrite(978472),rewrite([986837(6),162035(5)])]. 987068 a(L(L(x,y,z) \ x,u,w) \ v5,v6,v7) = a((x * L(x,y,z)) * v5,v6,v7). [back_rewrite(978470),rewrite([986837(10)])]. 987070 a(L(x \ L(x,y,z),u,w) \ v5,v6,v7) = a((x * L(x,y,z)) * v5,v6,v7). [back_rewrite(977990),rewrite([986837(10)])]. 987071 a(L(x,y,z) * L(x,u,w),v5,v6) = a(x * L(L(x,y,z),u,w),v5,v6). [back_rewrite(972862),rewrite([986837(7),475767(5),158808(4),26392(6),967328(5)])]. 987078 a((L(x,y,z) * L(L(x,y,z),u,w)) * v5,v6,v7) = a((x * L(x,u,w)) * v5,v6,v7). [back_rewrite(645950),rewrite([986837(11)])]. 987092 a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7) = a((y * L(y,w,v5)) * x,v6,v7). [back_rewrite(972962),rewrite([986839(11)])]. 987112 a(L(L(1 / x,y,z),u,w) * (x * L(x,y,z)),v5,v6) = a(L(x,u,w),v5,v6). [back_rewrite(972930),rewrite([986839(13),738280(11),56209(12)])]. 987113 a(x * L(y \ L(y,z,u),w,v5),v6,v7) = a((y * L(y,z,u)) * x,v6,v7). [back_rewrite(972858),rewrite([986839(10)])]. 987127 a(x,y * L(y,z,u),w) = a(x,a(u,z,y),w). [back_rewrite(984677),rewrite([986853(5)])]. 987128 a(x,a(y,z,u \ (w \ u)),v5) = a(x,a(y,z,w),v5). [back_rewrite(687441),rewrite([987127(11),691688(5),986853(9),987127(7)])]. 987170 a((x * L(x,y,z)) * (u * L(x,w,v5)),v6,v7) = a(u * L(L(x,w,v5),y,z),v6,v7). [back_rewrite(968082),rewrite([987021(7),476726(5)])]. 987272 a(a(L(x,y,z),u,w),x,v5) = a(x,a(w,u,x),v5). [back_rewrite(986847),rewrite([987127(4),396598(3),5529(3)]),flip(a)]. 987449 a(x,L(y,z,u) \ y,w) = a(x,a(u,z,y),w). [back_rewrite(163152),rewrite([987127(6)])]. 987467 a(x,y \ L(y,z,u),w) = a(x,a(u,z,y),w). [back_rewrite(64099),rewrite([987127(6)])]. 987470 a(L(x \ y,x,L(x,z,u)),w,v5) = a(y * L(L(x,z,u),z,u),w,v5). [back_rewrite(977974),rewrite([987170(6)]),flip(a)]. 987471 a(L(x,y,z) * ((x * L(x,u,w)) * v5),v6,v7) = a(v5 * L(L(x,y,z),u,w),v6,v7). [back_rewrite(968086),rewrite([987170(12)])]. 987488 x \ ((L(1 / x,y,z) \ 1) * u) = x * (L(x,y,z) \ u). [back_rewrite(978960),rewrite([987272(5),787000(5),974754(5)])]. 987490 x * ((L(x,y,z) \ u) * (x \ L(x,y,z))) = L(u,x,a(z,y,x)). [back_rewrite(978958),rewrite([987272(3),787000(3)]),flip(a)]. 987527 L(x,y,(z \ u) * L(z,w,v5)) = L(x,y,z * (L(z,w,v5) \ u)). [back_rewrite(944564),rewrite([987488(7)]),flip(a)]. 987550 L(x \ L(x,y,z),x,L(x,u,w) \ v5) = L(x \ L(x,y,z),x,L(x,u,w) * v5). [back_rewrite(671292),rewrite([987527(6),308033(6)])]. 987551 a(x,y,L(z,z,L(z,u,w) \ v5)) = a(x,y,L(z,z,L(z,u,w) * v5)). [back_rewrite(666777),rewrite([987527(4),666523(5)])]. 987564 (x * L(y,z,u)) \ (((x / y) * L(y,z,u)) * (y * w)) = L(w,y,y * (L(y,z,u) \ x)). [back_rewrite(426797),rewrite([987527(12)])]. 987596 L(x \ L(x,y,z),x,L(x,y,z) * u) = (L(x,y,z) \ u) \ (x \ u). [back_rewrite(305155),rewrite([987550(5)])]. 987626 L(T(x,y),z,u) * L(L(w,v5,v6) \ w,v7,v8) = T(L(L(w,v5,v6) \ w,v7,v8) * L(x,z,u),y). [hyper(7088,a,664075,a(flip),b,986742,a),rewrite([408211(12),975095(10),49(10),381611(9),323(7),408(8),707194(20),705897(18),975147(16),458608(18),983780(17),323(14),48(13),986787(14)]),flip(a)]. 987667 (L(L(x,y,z) \ x,u,w) \ v5) * L(L(L(x,y,z) \ x,v6,v7),u,w) = v5 * a(a(z,y,x),v6,v7). [hyper(5142,a,646032,a,b,986742,a),rewrite([974615(4),386756(7),987042(13),7730(11),86937(10),165823(9),973995(9),974615(13),386756(12)])]. 987682 L(L(L(x,y,z) \ x,u,w),v5,v6) \ a(a(z,y,x),u,w) = L(L(x,y,z) \ x,v5,v6) \ 1. [hyper(5083,a,451734,a,b,986742,a),rewrite([63(4),382630(3),63(11),382630(10),305594(12),304101(10),162681(10),974366(9),51(8),5530(7),399104(8)])]. 987805 L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) \ v7 = v7 * L(L(L(x,y,z) \ x,v5,v6) \ 1,u,w). [para(63(a,2),986742(a,1,2,1,1,1)),rewrite([63(2),306585(4),981103(8),306585(11)]),flip(a)]. 987831 L(x,L(L(y,z,u) \ y,w,v5) \ v6,v7) = L(x,L(L(y,z,u) \ y,w,v5) * v6,v7). [para(986742(a,1),25672(a,1,2,2)),rewrite([192640(7),986742(11)]),flip(a)]. 987864 a(x,y,L(L(z,u,w) \ z,v5,v6) \ v7) = a(x,y,L(z \ L(z,u,w),v5,v6) * v7). [para(986742(a,2),72848(a,1,3,1)),rewrite([986742(7),986757(6),986774(10)])]. 987893 L(L(L(x,y,z) \ x,u,w),v5,v6) * (L(L(x,y,z) \ x,v5,v6) \ v7) = v7 * a(a(z,y,x),u,w). [para(986742(a,2),151404(a,1,1)),rewrite([986742(6),432002(9),975095(7),977007(8),63(8),382630(7),987667(9),63(7),382630(6)]),flip(a)]. 987896 L(x,y,z) * (L(L(u,w,v5) \ u,v6,v7) \ x) = x * (L(L(u,w,v5) \ u,v6,v7) \ L(x,y,z)). [para(986742(a,1),158808(a,1,2)),rewrite([986742(13)])]. 987897 x * (L(x,y,z) \ (L(L(u,w,v5) \ u,v6,v7) \ 1)) = L(x,y,z) \ (L(L(u,w,v5) \ u,v6,v7) \ x). [para(986742(a,1),162681(a,1,2)),flip(a)]. 988032 x / L(L(y \ L(y,z,u),w,v5) \ 1,v6,v7) = x * L(L(L(y,z,u) \ y,v6,v7) \ 1,w,v5). [back_rewrite(306762),rewrite([987805(14)])]. 988146 L(L(x,y,z) \ x,u,w) * (v5 * a(a(z,y,x),v6,v7)) = L(L(L(x,y,z) \ x,v6,v7),u,w) * v5. [para(986757(a,2),62761(a,1,2,2)),rewrite([63(7),382630(6),986757(13),987893(12),63(11),382630(10)])]. 988157 a(x * L(y * (L(y,z,u) \ a(w,v5,a(v6,v7,v8))),v9,v10),v11,v12) = a((y * L(y,z,u)) * x,v11,v12). [para(986757(a,1),47318(a,2,1)),rewrite([195094(8),975095(4),49(4),975147(5),162960(5),987068(13)])]. 988171 (L(L(x,y,z) \ x,u,w) \ v5) / L(v5,v6,v7) = L(v5,v6,v7) \ (L(L(x,y,z) \ x,u,w) \ v5). [para(986757(a,1),379420(a,1,1)),rewrite([987897(14)])]. 988207 a((x * L(x,y,z)) * u,w,v5) = a(L(x,y,z) * (x \ u),w,v5). [back_rewrite(460048),rewrite([988157(8)])]. 988208 L(x,y,z) \ (L(L(x,y,z) \ x,u,w) \ x) = a(w,u,a(z,y,x)). [back_rewrite(986889),rewrite([988171(6)])]. 988249 a(x * L(y \ L(y,z,u),w,v5),v6,v7) = a(L(y,z,u) * (y \ x),v6,v7). [back_rewrite(987113),rewrite([988207(9)])]. 988267 a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7) = a(L(y,w,v5) * (y \ x),v6,v7). [back_rewrite(987092),rewrite([988207(10)])]. 988280 a(L(L(x,y,z),u,w) * (L(x,y,z) \ v5),v6,v7) = a(L(x,u,w) * (x \ v5),v6,v7). [back_rewrite(987078),rewrite([988207(6),988207(10)])]. 988287 a(L(x \ L(x,y,z),u,w) \ v5,v6,v7) = a(L(x,y,z) * (x \ v5),v6,v7). [back_rewrite(987070),rewrite([988207(9)])]. 988309 a(L(x \ y,z,u) * ((x \ y) \ w),v5,v6) = a(L(x * y,z,u) * ((x * y) \ w),v5,v6). [back_rewrite(987046),rewrite([988207(6),988207(12)])]. 988318 a(x \ (L(y,z,u) \ y),w,v5) = a(L(y,z,u) * (y \ x),w,v5). [back_rewrite(985325),rewrite([988207(8)])]. 988351 a(L(x,y,z) * (x \ (u * L(L(x,y,z),x,x))),w,v5) = a(L(x \ u,x,L(x,y,z)),w,v5). [back_rewrite(977985),rewrite([988207(7)])]. 988352 a(L(x \ y,L(x,z,u),L(x,z,u)),w,v5) = a(L(x \ y,x,L(x,z,u)),w,v5). [back_rewrite(977984),rewrite([988207(6),158527(4),75356(6),65790(5)])]. 988452 a((L(x,y,z) \ x) * u,w,v5) = a(L(x,y,z) * (x \ u),w,v5). [back_rewrite(165470),rewrite([988207(8)])]. 988469 a((x \ L(x,y,z)) * u,w,v5) = a(L(x,y,z) * (x \ u),w,v5). [back_rewrite(65261),rewrite([988207(8)])]. 988475 a(L(x \ (y * L(x,z,u)),x,L(x,z,u)),w,v5) = a(x \ (L(x,z,u) \ y),w,v5). [back_rewrite(759737),rewrite([988352(7)])]. 988602 (x * ((L(L(y,z,u) \ y,w,v5) \ 1) / x)) \ K(x,x \ 1) = L(L(y,z,u) \ y,w,v5). [hyper(5083,a,367,a(flip),b,986787,a(flip)),rewrite([378058(14),975095(11),49(11),409113(11),323(8)])]. 989116 ((x * L(y,z,u)) \ (x * y)) \ w = (x \ (L(y,z,u) * (y \ x))) * w. [para(57669(a,2),975095(a,1,1,1)),rewrite([979744(7),304101(11),50(8),304426(9)])]. 989143 a(x,y \ (L(z,u,w) \ z),v5) = a(x,(z * L(z,u,w)) * y,v5). [para(975095(a,1),170769(a,1,2,1)),rewrite([975095(6),982873(9),784525(8),158808(6),394187(9),169742(4)]),flip(a)]. 989337 a(a(x,y,L(z,y,x)) * u,w,v5) = a(u * (z * L(z,y,x)),w,v5). [back_rewrite(607649),rewrite([989116(5),973752(6)]),flip(a)]. 989353 x / ((y * L(z,u,w)) \ (y * z)) = (y \ (L(z,u,w) * (z \ y))) * x. [back_rewrite(313820),rewrite([989116(10)])]. 989398 a(x,y \ (L(T(z,u),w,v5) \ z),v6) = a(x,(z * L(z,w,v5)) * y,v6). [back_rewrite(97631),rewrite([989143(9)])]. 989519 x / (L(L(y,z,u),w,v5) \ y) = (L(L(y,z,u),w,v5) \ y) \ x. [hyper(5083,a,975147,a,b,433783,a),rewrite([976336(8),50(9)]),flip(a)]. 989637 L(x \ L(x,x,y),z,u) \ w = (L((y * x) \ y,z,u) \ L(x \ 1,z,u)) * w. [para(57669(a,1),975147(a,2,1,1)),rewrite([305327(8),304101(6),324(3),48(3)])]. 989842 (x * y) * (L(x,z,u) \ x) = x * (y * (L(x,z,u) \ x)). [para(975458(a,1),380(a,1,2))]. 989864 x \ ((L(x,y,z) \ x) * u) = (x \ u) * (L(x,y,z) \ x). [para(975458(a,1),135397(a,1,2,1)),rewrite([91472(8)])]. 989993 L(L(x \ L(x,y,z),u,w) \ 1,R(v5,v6,v7),v8) = L(L(x \ L(x,y,z),u,w) \ 1,v5,v8). [hyper(5081,a,291306,a,b,980961,a),rewrite([291306(9),785325(13),980961(13)])]. 989996 L(L(x \ L(x,y,z),u,w) \ 1,L(v5,v6,v7),v8) = L(L(x \ L(x,y,z),u,w) \ 1,v5,v8). [hyper(5081,a,70578,a,b,980961,a),rewrite([70578(9),784553(13),980961(13)])]. 990044 L(L(x \ L(x,y,z),u,w) \ 1,x,z * y) = a(z,y,R(x,u,w)). [back_rewrite(655313),rewrite([989996(9),989993(8)])]. 990045 a(x,y,R(z,u,w)) = a(x,y,L(z,u,w)). [back_rewrite(306905),rewrite([989996(9),989996(8),990044(7)])]. 990052 L(L(x \ L(x,y,z),u,w) \ 1,x,z * y) = a(z,y,L(x,u,w)). [back_rewrite(990044),rewrite([990045(9)])]. 990145 L(x \ L(x,R(x,y,z),u),y,z) \ 1 = a(u,R(x,y,z),L(x,y,z)). [back_rewrite(809770),rewrite([990045(9)])]. 990386 a(x,y,L(z \ T(u,w),v5,v6)) = a(x,y,L(z \ u,v5,v6)). [back_rewrite(208681),rewrite([990045(4),990045(7)])]. 990395 a(x,y,(z * u) \ ((z * w) * u)) = a(x,y,L(w,z,u)). [back_rewrite(136697),rewrite([990045(7)])]. 990458 (x * ((y * x) \ (y * T(z * x,u)))) \ T(z * x,u) = a(y,x,L(z,x,y)). [back_rewrite(716110),rewrite([990386(14),58(11),14986(12)])]. 990499 a(x,a(y,z,u \ w),v5) = a(x,a(y,z,u * w),v5). [hyper(5083,a,983843,a(flip),b,636465,a),rewrite([386956(6),796320(4),396598(4)]),flip(a)]. 990510 L(x,a(y,z,u * (w \ u)),v5) = L(x,a(y,z,w),v5). [para(14227(a,1),983843(a,2,2,3)),rewrite([96925(4),491817(3),983843(4),136128(7),983274(7)])]. 990695 a(x,a(y,z,u * (w \ u)),v5) = a(x,a(y,z,w),v5). [back_rewrite(987128),rewrite([990499(4)])]. 990969 L(x,y \ (z * (y \ z)),u) = L(x,a(z,y \ z,y),u). [para(170557(a,1),981999(a,1,2,2)),rewrite([622951(9),28057(4),834352(4),14988(8),72770(8),983843(7),402886(6),983843(7),984542(7)]),flip(a)]. 990982 a(L(x,a(y,z,u),w) * (w * (u * L(u,z,y))),v5,v6) = a(w * ((u * L(u,z,y)) * x),v5,v6). [para(981999(a,1),12619(a,1,1,1))]. 991010 L(x,y * (z \ (y * (z \ y))),u) = L(x,(y \ z) * z,u). [back_rewrite(681986),rewrite([990969(8),492655(8),68875(5),831577(3)]),flip(a)]. 991078 L(x,y,a(z,u,a(w,v5,v6) * (v7 \ v8))) = L(x,y,a(z,u,a(w,v5,v6) * (v7 * v8))). [para(15031(a,2),986193(a,1,3,3)),rewrite([72920(7),136352(12),22409(9)])]. 991383 L(x,y,a(z,u,w * (v5 * (v6 \ w)))) = L(x,y,a(z,u,v5 * v6)). [para(807827(a,1),986193(a,1,3,3,1)),rewrite([7732(4),72852(5),788484(9),986185(8),136497(7),986193(8)]),flip(a)]. 991681 a(x * (L(x,y,z) * u),w,a(v5,v6,v7)) = a(a(z,y,x) * u,w,a(v5,v6,v7)). [hyper(5081,a,396221,a,b,988208,a),rewrite([981944(12),988208(13)])]. 991682 a(x * (y * L(y,z,u)),w,a(v5,v6,v7)) = a(a(u,z,y) * x,w,a(v5,v6,v7)). [hyper(5081,a,165195,a,b,988208,a),rewrite([165195(5),981944(12),988208(13)])]. 991720 ((x * y) \ x) \ L(y \ 1,y,L(x,z,u)) = a(u,z,a(x,y,y)). [para(12004(a,1),988208(a,1,1)),rewrite([354781(8),269343(8),809523(4),272898(4),646032(7),809532(7),72770(10)])]. 991728 (L(L(x,y,z) \ x,u,w) \ x) \ (L(x,y,z) * v5) = v5 * a(a(z,y,x),u,w). [para(988208(a,1),60487(a,1,1,1)),rewrite([386756(3),988208(9),635974(7),5531(6)]),flip(a)]. 991740 L(x,y,a(z,u,L(w,v5,v6)) * w) = L(x,y,L(w,u,z)). [para(988208(a,1),85435(a,1,3,1)),rewrite([17060(4),17092(5),984573(7)]),flip(a)]. 991790 (L(L(x,y,z) \ x,u,w) \ x) \ L(x,y,z) = a(a(z,y,x),u,w). [para(988208(a,1),437273(a,1,1,2)),rewrite([6706(4),386756(4),48(4),988208(8),984573(9),991740(8),635974(6),5531(5)]),flip(a)]. 991909 a(L(x,y,z) * u,w,a(v5,v6,v7)) = a(x * L(u,y,z),w,a(v5,v6,v7)). [back_rewrite(506052),rewrite([991681(7),971983(6),626704(3),627037(5)])]. 991930 a(x * L(x \ y,z,u),w,a(v5,v6,v7)) = a(a(u,z,x) * y,w,a(v5,v6,v7)). [back_rewrite(396216),rewrite([991909(5),991681(10)])]. 991953 a(x * (y * L(x,z,u)),w,a(v5,v6,v7)) = a(y * a(u,z,x),w,a(v5,v6,v7)). [back_rewrite(419294),rewrite([991682(7),601489(6)]),flip(a)]. 992133 a(x * L(y \ z,x,y),u,a(w,v5,v6)) = a(z * (x \ y),u,a(w,v5,v6)). [back_rewrite(403937),rewrite([991909(5)])]. 992151 a(x * (y \ (z \ ((z * y) * u))),w,a(v5,v6,v7)) = a(x * L(u,y,z),w,a(v5,v6,v7)). [back_rewrite(396339),rewrite([991909(11)])]. 992207 a(a(x,y,z),u,L(w,v5,v6) * v7) = a(a(x,y,z),u,w * L(v7,v5,v6)). [hyper(5081,a,398680,a(flip),b,991909,a),rewrite([398680(10)]),flip(a)]. 992273 a(x * L(L(L(x,y,z) \ 1,u,w) * v5,y,z),v6,a(v7,v8,v9)) = a(v5 * a(w,u,x),v6,a(v7,v8,v9)). [para(292801(a,2),991909(a,1,1)),rewrite([305327(8),988249(10),991909(9),991930(9),601489(8)]),flip(a)]. 992316 a(x * a(y,z,L(u,w,v5)),v6,a(v7,v8,v9)) = a(x * a(y,z,u),v6,a(v7,v8,v9)). [para(150405(a,2),991909(a,1,1)),rewrite([150405(7),131115(9),991953(7),992273(14)])]. 992373 a(a(x,y,z),u,w * (L(w,v5,v6) * u)) = a(a(x,y,z),u,w * L(w \ u,v5,v6)). [back_rewrite(508075),rewrite([992207(5)]),flip(a)]. 992391 ((x \ L(x,y,z)) * u) * (u \ (L(x,y,z) \ x)) = a(a(z,y,x),u,x * L(x \ u,y,z)). [back_rewrite(974244),rewrite([992373(12)])]. 992449 (x / L(y,z,u)) * (L(L(y,z,u) \ y,w,v5) \ y) = a(v5,w,a(u,z,y)) * x. [para(991790(a,1),77147(a,1,1,1)),rewrite([987831(9),793077(9),5530(9),388135(3),991790(16),561(13)]),flip(a)]. 992544 (L(L(x,y,z) \ x,u,w) \ x) \ v5 = (L(x,y,z) \ v5) * a(a(z,y,x),u,w). [para(991790(a,1),794597(a,1,3)),rewrite([6174(7),893004(6),393579(12),5536(12),991790(12),70966(10)])]. 992555 L(x,y,z) / (x * (L(L(x,y,z) \ x,u,w) \ L(x,y,z))) = L(x,y,z) \ a(a(z,y,x),u,w). [para(991790(a,1),901551(a,1,2)),rewrite([987896(7),561(11),423165(15),504347(13),91483(11),991790(15)])]. 992575 a(a(x,y,z),u,w * (L(w,v5,v6) * v7)) = a(a(x,y,z),u,a(v6,v5,w) * v7). [hyper(5081,a,398680,a(flip),b,991681,a),rewrite([398680(11)]),flip(a)]. 992605 a(x * L(L(x,y,z),u,w),v5,a(v6,v7,v8)) = 1. [para(594514(a,2),991681(a,1,1,2)),rewrite([985426(4),784027(3),788781(10),992151(8),992316(11),514307(10)])]. 992633 a(a(x,y,z),u,w * L(w \ u,v5,v6)) = a(a(x,y,z),u,a(v6,v5,w) * u). [back_rewrite(992373),rewrite([992575(5)]),flip(a)]. 992658 ((x \ L(x,y,z)) * u) * (u \ (L(x,y,z) \ x)) = a(a(z,y,x),u,a(z,y,x) * u). [back_rewrite(992391),rewrite([992633(12)])]. 992969 x \ a(y,z,L(z \ (x \ z),z,y)) = L(x,z,y) \ 1. [hyper(7088,a,976848,a,b,268782,a),rewrite([401772(5),206224(5),11562(4)]),flip(a)]. 993196 a(x,y,L(y \ (z \ y),y,x)) \ z = L(z,y,x). [hyper(6683,a,976848,a(flip)),rewrite([6706(5)])]. 993229 a(x * ((y * L(y,z,u)) * w),v5,v6) = a(x * (w * a(u,z,L(z \ (y \ z),z,u))),v5,v6). [para(976848(a,2),13826(a,2,1,2,1)),rewrite([91483(2),975095(3),64173(5),398387(12)])]. 993269 L(x,y,a(z,u,L(u \ (w \ u),u,z)) * v5) = L(x,y,a(z,u,w) * v5). [para(976848(a,2),42394(a,2,3,1)),rewrite([91483(2),975095(3),984069(4),83407(9)]),flip(a)]. 993285 a(x,y,L(z,y,x)) = L(z \ L(z,y,x),z,y) \ 1. [para(59166(a,1),976848(a,1,3,1,2)),rewrite([990386(7),50(2),306590(10),304101(8),324(5),48(5)])]. 993321 L(x,y * a(z,u,L(u \ (w \ u),u,z)),v5) = L(x,y * (w * L(w,u,z)),v5). [para(976848(a,2),77774(a,2,2,2)),rewrite([91483(2),681418(4)]),flip(a)]. 993322 L(x,y,((z \ L(z,u,w)) * v5) * v6) = L(x,y,a(w,u,z) * (v5 * v6)). [para(976848(a,1),20235(a,1,3,1,1)),rewrite([944453(5),993269(12)])]. 993338 a(x \ ((y * L(y,z,u)) * w),v5,v6) = a(a(u,z,L(z \ (y \ z),z,u)) * (x \ w),v5,v6). [para(976848(a,2),96369(a,2,1,2,1)),rewrite([91483(2),975095(3),976919(5),966852(12)])]. 993339 a(L(x,y,z) * (x \ u),w,v5) = a(a(z,y,L(y \ (x \ (K(v6,v7) * y)),y,z)) * u,w,v5). [para(976848(a,2),96326(a,1,1,2)),rewrite([11961(3),440389(8),27503(12),96326(14),988318(12)]),flip(a)]. 993343 a(x,(y * L(y,z,u)) * w,v5) = a(x,w * a(u,z,L(z \ (T(y,v6) \ z),z,u)),v5). [para(976848(a,2),97384(a,1,2,2)),rewrite([398893(7),989398(12)]),flip(a)]. 993345 L(x,a(y,z,L(z \ (T(u,w) \ z),z,y)) * v5,v6) = L(x,(u * L(u,z,y)) * v5,v6). [para(976848(a,2),97862(a,1,2,1)),rewrite([578014(12),313501(11)])]. 993368 a(L(x * y,z,u) * ((x * y) \ w),v5,v6) = a(a(u,z,L(z \ ((y / x) \ z),z,u)) * w,v5,v6). [para(976848(a,2),134529(a,1,1,2)),rewrite([440389(7),250991(13),988318(13),988309(13)]),flip(a)]. 993400 L(x,y,a(z,u,L(w,v5,v6)) * v7) = L(x,y,a(z,u,w) * v7). [para(976848(a,2),168807(a,2,3,2,1)),rewrite([91483(2),984579(5),384778(11),993269(10)])]. 993426 a(x * (y \ a(z,u,L(u \ (w \ u),u,z))),v5,v6) = a(x * (y \ (L(w,u,z) \ w)),v5,v6). [para(976848(a,2),239471(a,2,1,2,2)),rewrite([91483(2)]),flip(a)]. 993445 L(x,y,z) * (x \ L(a(z,y,L(y \ (x \ y),y,z)),u,w)) = a(a(z,y,x),u,w). [para(976848(a,2),272488(a,1,2,1)),rewrite([382507(7),975095(8),458364(8),381213(12),162681(14),974366(13),51(12)])]. 993487 L(x \ L(x,y,z),u,w) * a(w,u,L(u \ (x \ u),u,w)) = x * L(L(x,u,w) \ 1,y,z). [para(976848(a,2),307607(a,1,2)),rewrite([305327(4),165661(11)])]. 993505 L(x,y,z * ((u \ L(u,w,v5)) * v6)) = L(x,y,z * (v6 * a(v5,w,L(w \ (u \ w),w,v5)))). [para(976848(a,2),363680(a,2,3,2,1)),rewrite([91483(2),975095(3),398409(12)])]. 993529 a(x,y * a(z,u,L(u \ (w \ u),u,z)),v5) = a(x,y * (w \ L(w,u,z)),v5). [para(976848(a,1),398359(a,2,2,2)),rewrite([398359(6),306138(10)])]. 993712 L(x,y,z * (u * a(w,v5,L(v5 \ (v6 \ v5),v5,w)))) = L(x,y,a(w,v5,v6) * (u * z)). [para(976848(a,1),301373(a,1,3,1)),rewrite([984035(5)]),flip(a)]. 993743 a(x,a(y,z,L(z \ (u \ z),z,y)) * w,a(v5,v6,v7)) = a(x,u * (L(u,z,y) * w),a(v5,v6,v7)). [para(976848(a,2),785983(a,1,2,1))]. 993806 L(x,y,z) \ (L(a(z,y,L(y \ (x \ y),y,z)),u,w) \ x) = a(w,u,a(z,y,x)). [para(976848(a,2),988208(a,1,2,1,1))]. 993829 L(x,y,a(z,u,w) * w) = L(x,y,L(w,u,z)). [back_rewrite(991740),rewrite([993400(4)])]. 993852 L(x,y,z * L(u \ L(u,w,v5),v6,v7)) = L(x,y,a(v5,w,u) * z). [back_rewrite(984335),rewrite([993400(9)])]. 993865 L(x,y,L(z,u,w) * (z \ v5)) = L(x,y,a(w,u,z) * v5). [back_rewrite(984316),rewrite([993400(4)]),flip(a)]. 993907 L(x,y,z * ((u \ L(u,w,v5)) * v6)) = L(x,y,a(v5,w,u) * (v6 * z)). [back_rewrite(993505),rewrite([993712(12)])]. 994029 L(x \ L(x,y,z),x,L(x,u,w) * v5) = L(x \ L(x,y,z),x,a(w,u,x) * v5). [back_rewrite(671291),rewrite([993865(6)]),flip(a)]. 994034 (x * L(y,z,u)) \ (((x / y) * L(y,z,u)) * w) = L(y \ w,y,a(u,z,y) * x). [back_rewrite(617500),rewrite([993865(5)]),flip(a)]. 994065 L(x \ L(x,y,z),x,a(z,y,x) * u) = (L(x,y,z) \ u) \ (x \ u). [back_rewrite(987596),rewrite([994029(5)])]. 994085 L(x \ L(x,y,z),x,L(x,u,w) \ v5) = L(x \ L(x,y,z),x,a(w,u,x) * v5). [back_rewrite(987550),rewrite([994029(10)])]. 994097 L(x,y,y * (L(y,z,u) \ w)) = L(x,y,a(u,z,y) * w). [back_rewrite(987564),rewrite([994034(8),50(2)]),flip(a)]. 994137 R(x * (L(x,y,z) \ u),x,x) \ (x * (L(x,y,z) \ (u * x))) = L(x,x,a(z,y,x) * u). [back_rewrite(845536),rewrite([994097(13)])]. 994181 L(x \ R(x,y,(z * L(z,u,w)) * v5),x,a(w,u,z) * (v5 * y)) = a(x,y,(z * L(z,u,w)) * v5). [hyper(295,a,265975,a(flip),b,993322,a),rewrite([136013(4),839961(8)]),flip(a)]. 994223 L(x,y,z * (u * a(w,v5,z))) = L(x,y,L(z,v5,w) * u). [para(2412(a,2),993322(a,1,3,1)),rewrite([377063(4),323(2),15(3),49(3),626704(6)]),flip(a)]. 994279 L(x,y,z * (L(z,u,w) \ v5)) = L(x,y,a(w,u,z) * v5). [para(594859(a,1),993322(a,1,3)),rewrite([158527(3),84993(4),987527(4),987467(8),787000(8),977641(8),20235(9),51(7)])]. 994396 L(x,y,(z \ u) * L(z,w,v5)) = L(x,y,a(v5,w,z) * u). [back_rewrite(987527),rewrite([994279(8)])]. 994405 L(L(x,y,z) \ x,L(x,y,z),a(z,y,x) * u) = (u * x) \ (x * (L(x,y,z) \ (u * x))). [back_rewrite(800294),rewrite([994279(7)])]. 994528 L(x,y,z * a(u,w,z)) = L(x,y,L(z,w,u)). [hyper(295,a,83724,a,b,993829,a),rewrite([385056(3),25262(4)])]. 994553 L(x,y,a(z,u,w * v5) * (v5 * w)) = L(x,y,L(v5 * w,u,z)). [hyper(295,a,85799,a(flip),b,993829,a),rewrite([136123(4),702084(10)])]. 994687 L(x,y,L(a(z,u,w) \ v5,v6,v7)) = L(x,y,L(v5 * a(z,u,w),v6,v7)). [para(400273(a,2),993829(a,1,3)),rewrite([398396(4),400273(6),398409(7),994553(7)]),flip(a)]. 994690 a(L(x,x,L(y,z,u)) * (a(u,z,y) * y),w,v5) = a(a(u,z,y) * (x \ y),w,v5). [para(993829(a,1),403505(a,1,1,1)),rewrite([966855(10)])]. 994702 L(x,y,L(L(z,u,w),u,w)) = L(x,y,z). [para(593601(a,1),993829(a,1,3,1)),rewrite([974005(6),698893(3)]),flip(a)]. 994738 a(x,y,z) * L(u,z,L(z,y,x)) = (a(x,y,z) / z) * (z * u). [para(993829(a,1),191021(a,1,2)),rewrite([382507(2),626372(2),744479(10)])]. 994750 L(x \ L(x,y,z),u,L(w,v5,v6)) \ v7 = L(x \ L(x,y,z),u,w) \ v7. [para(993829(a,1),980395(a,1,2,1)),rewrite([986739(6),980395(6),993829(9)]),flip(a)]. 994930 L(x,y,a(z,u,w) * (v5 * w)) = L(x,y,v5 * L(w,u,z)). [para(58(a,1),993865(a,1,3,2)),rewrite([11573(3)]),flip(a)]. 994974 L(x,y,a(z,u,w) * ((w * v5) * v6)) = L(x,y,(L(w,u,z) * v5) * v6). [para(6662(a,1),993865(a,1,3,2)),rewrite([101929(4),990045(6),993400(10)]),flip(a)]. 994988 L(x,y,z * (u * a(w,v5,u))) = L(x,y,z * L(u,v5,w)). [para(96988(a,1),993865(a,1,3,2)),rewrite([370877(3),25262(4),385056(7),25262(8),13063(7)]),flip(a)]. 995024 L(x,y,L(L(z,u,w) * v5,z,z)) = L(x,y,a(w,u,z) * (z \ v5)). [para(354827(a,1),993865(a,1,3,2)),rewrite([357007(8),762429(5),705211(4),72770(7)])]. 995099 L(x,y,z * a(u,w,L(v5,v6,v7))) = L(x,y,a(u,w,v5) * z). [para(179515(a,1),993865(a,1,3,2)),rewrite([148418(7),25262(8),993865(6),993400(4),385056(8),25262(9)]),flip(a)]. 995138 a(L((a(x,y,z) * u) * w,a(x,y,z) * u,u),v5,v6) = a((a(x,y,z) * u) \ w,v5,v6). [para(993865(a,2),758906(a,1,1)),rewrite([993865(9),968117(9)])]. 995201 L(x,y,z * (a(u,w,z) * (L(z,v5,v6) * v7))) = L(x,y,(L(z,w,u) * v7) * L(z,v5,v6)). [back_rewrite(644473),rewrite([994974(6)]),flip(a)]. 995358 L(x,y,L(z,L(u,w,v5),L(u,w,v5))) = L(x,y,L(z,u,L(u,w,v5))). [back_rewrite(983977),rewrite([995201(6),85526(5)])]. 995386 L(x,y,L(z \ L(R(z,u,w) \ z,v5,v6),z,L(z,u,w))) = L(x,y,L(z,u,w)). [back_rewrite(779210),rewrite([995358(8)])]. 995400 L(x,y,L(L(z,u,w) * v5,z,L(z,u,w))) = L(x,y,L(z,u,w) \ v5). [back_rewrite(775409),rewrite([995358(8),209326(7)])]. 995450 L(x,y,z * (u * a(w,v5,L(v6,v7,v8)))) = L(x,y,a(w,v5,v6) * (u * z)). [hyper(295,a,301373,a(flip),b,993400,a)]. 995483 L(x,y,a(z,u,w \ v5) * v6) = L(x,y,a(z,u,w * v5) * v6). [para(60809(a,1),993400(a,1,3,1,3)),rewrite([68874(8)]),flip(a)]. 995492 L(x,y,L(z,u,L(u,w,v5))) = L(x,y,L(z,u,u)). [para(16569(a,1),993400(a,1,3)),rewrite([209136(4),995358(4),401608(5),993400(7),16569(5),209136(5)])]. 995512 L(x,y,a(z,u,w) * (v5 * L(w,v6,v7))) = L(x,y,v5 * L(L(w,v6,v7),u,z)). [para(629630(a,2),993400(a,1,3)),rewrite([629630(5),994930(6)]),flip(a)]. 995720 L(x,y,a(z,u,w) * (w \ v5)) = L(x,y,L(w,u,z) \ v5). [back_rewrite(995400),rewrite([995492(5),995024(4)])]. 995733 L(x,y,z * L(R(z,u,w) \ z,v5,v6)) = L(x,y,L(z,u,w)). [back_rewrite(995386),rewrite([995492(7),60426(5),84993(7),83104(7)])]. 995740 L(x,y,z * L(L(u,w,v5),w,v5)) = L(x,y,u * z). [back_rewrite(985295),rewrite([995492(4),60426(2),84993(4),83104(4),995512(7)]),flip(a)]. 995902 L(x,y,a(z,u,w) * a(v5,v6,w)) = L(x,y,w * L(L(w,v6,v5),u,z)). [para(165661(a,1),994279(a,1,3,2)),rewrite([73507(6),306590(9),980395(11),612199(10),993852(10)]),flip(a)]. 995950 a(x,y,L(z,z,L(z,u,w) * v5)) = a(x,y,L(z,z,a(w,u,z) * v5)). [para(994279(a,1),666523(a,1,3)),rewrite([987551(8)]),flip(a)]. 996072 a(x,L(y,z,u),L(w,L(y,z,u),x)) = L(w \ L(w,L(y,z,u),x),w,y) \ 1. [hyper(295,a,14785,a,b,993285,a),rewrite([14785(5),994750(11)])]. 996123 L(x \ L(x,y,z),x,y) = a(z,y,L(x,y,z)) \ 1. [hyper(6683,a,993285,a(flip)),rewrite([6706(4)]),flip(a)]. 996143 a(L(x,y,z) * (x \ u),w,v5) = a(u * a(z,y,L(x,y,z)),w,v5). [para(993285(a,2),12592(a,2,1,2)),rewrite([293077(5),980395(6),988287(5)])]. 996196 L(a(x,y,L(z,y,x)) / u,u,a(x,y,z)) = (u * ((L(z \ L(z,y,x),z,y) * u) \ 1)) / u. [para(993285(a,2),79608(a,1,1,1)),rewrite([985546(7)])]. 996237 R(x,y,L(z * L(z,u,w),z,u) * v5) = R(x,y,a(w,u,L(z,u,w)) * v5). [para(993285(a,2),217015(a,1,3,1)),rewrite([840202(9)]),flip(a)]. 996485 a(a(x,y,L(z,y,x)) * (u * w),v5,v6) = a(((z * L(z,y,x)) * w) * u,v5,v6). [para(993285(a,1),967855(a,2,1,2,1)),rewrite([980629(11),987022(11)])]. 996489 L(x \ L(x,y,z),y,z) \ 1 = a(z,y,L(x,x,y)). [para(993285(a,1),974709(a,1,1)),rewrite([989996(8),990052(7),306590(6)]),flip(a)]. 996507 a(x,y,L(R(z,u,w),v5,v6)) = a(x,y,L(L(z,u,w),v5,v6)). [hyper(5081,a,164061,a,b,990045,a),rewrite([63(5)]),flip(a)]. 996514 a(x,y,L(z,R(u,w,v5),v6)) = a(x,y,L(z,L(u,w,v5),v6)). [para(28056(a,1),990045(a,2,3)),rewrite([215709(3),204558(3),990045(3)]),flip(a)]. 996521 x * a(x,R(y,z,u),L(y,z,u)) = R(x,L(y,z,u),R(y,z,u)). [para(990045(a,1),102537(a,1,2)),rewrite([215709(7)])]. 996532 a(x,y,L(z,u,w)) * (R(z,u,w) * v5) = R(z,u,w) * (v5 * a(x,y,L(z,u,w))). [para(990045(a,1),626704(a,1,1)),rewrite([990045(8)])]. 996539 (R(x,y,z) \ 1) * a(u,w,L(x,y,z)) = R(x,y,z) \ a(u,w,L(x,y,z)). [para(990045(a,1),626536(a,1,2)),rewrite([990045(9)])]. 996817 a(x,x,x) / L(L(x,y,z),u,w) = L(L(x,y,z),u,w) \ 1. [para(996507(a,2),90685(a,1,1)),rewrite([996507(7),474689(7),474689(6),699738(5),150511(3),591909(3),474689(2)])]. 997063 ((L(x,y,z) \ x) * u) \ L(u,w,v5) = L(x,y,z) * (x \ (u \ L(u,w,v5))). [hyper(295,a,225398,a,b,982713,a),rewrite([977398(3),982324(8),784482(7),13654(5),981999(7),400178(6)])]. 997073 L(L(x,y,z) \ x,u,w) \ L(x \ L(x,y,z),u,w) = L(x,y,z) * L(x \ 1,y,z). [hyper(7088,a,982713,a(flip),b,66480,a),rewrite([977398(4),49(4),975095(5),982713(5),148803(4),323(2),975147(9),49(9),6174(9),408211(8),323(6),408(7),975147(9),49(9),975147(13),49(13),975147(15),49(15),304101(15),162681(15),974366(14),51(13),150413(13),974091(13)]),flip(a)]. 997333 L(x \ L(x,y,z),x,a(z,y,x) * u) \ u = x * (L(x,y,z) \ u). [para(980972(a,2),77147(a,1,1)),rewrite([994085(5),980972(7),118328(9),381611(12),323(10),408(11)])]. 997445 (x * y) \ a(x,y,x * y) = L(x * y,y,x) \ 1. [hyper(7088,a,981773,a(flip),b,268782,a),rewrite([401772(8),206224(8),11562(6)]),flip(a)]. 997447 T(x \ (y \ 1),y * x) = 1 / L(y * x,x,y). [hyper(5142,a,981773,a(flip),b,268782,a),rewrite([696417(4),401772(13),206224(13)])]. 997694 L(x,y,a(z \ u,w,u * (z * w))) = L(x,y,a(w,w,z * u)). [para(981773(a,2),986193(a,1,3)),rewrite([981773(7),660979(5),985627(3)]),flip(a)]. 997699 (x * y) \ (L(x * y,y,x) \ 1) = (x * (y * (x * y))) \ 1. [back_rewrite(635515),rewrite([997445(5)])]. 997717 (x \ (y \ 1)) \ (y * x) = y * (x * (y * x)). [back_rewrite(604612),rewrite([997447(5),918238(10),63956(9),341069(10),380(4)]),flip(a)]. 997723 L(x * y,y,x) \ 1 = y \ (x \ 1). [back_rewrite(346300),rewrite([997447(5),11562(6)])]. 997886 a(L(x \ y,y * x,y * x),z,u) = a(L(y * x,x,y),z,u). [back_rewrite(972438),rewrite([997717(6),56(5)]),flip(a)]. 997894 (x * (y * (x * y))) \ 1 = (x * y) \ (y \ (x \ 1)). [back_rewrite(997699),rewrite([997723(5)]),flip(a)]. 997941 a(a(x,y,y \ x) * (x * y),z,u) = a(L(x * y,y,x),z,u). [back_rewrite(972421),rewrite([997886(10)])]. 997945 a(x,y,y \ x) = a(x,y,x * y). [back_rewrite(626739),rewrite([997894(7),51(8),602100(5)])]. 997954 a(L(x * y,y,x),z,u) = a(y \ x,z,u). [back_rewrite(997941),rewrite([997945(2),972790(5),721076(3),847677(3),131144(3),759193(3)]),flip(a)]. 997989 L(((x * y) \ 1) \ 1,y,x) = (y \ (x \ 1)) \ 1. [back_rewrite(902991),rewrite([997945(2),398364(4),60(6),905372(5),63956(6)])]. 999199 L(x,a(y,z,(u * w) * v5),v6) = L(x,a(y,z,w * (u \ v5)),v6). [para(11892(a,1),983274(a,1,2,3)),rewrite([983843(4),983843(8)])]. 1000228 L(x,y,(z * R(z,u,w)) * v5) = L(x,y,a(z,u,w) * v5). [para(256868(a,1),995740(a,1,3,2,1)),rewrite([384778(5),698308(7)]),flip(a)]. 1000229 L(x,y,L(z \ R(z,u,w),v5,v6) * v7) = L(x,y,v7 * a(z,u,w)). [para(265971(a,1),995740(a,1,3,2,1)),rewrite([626126(6)]),flip(a)]. 1000248 L(x,y,z * (u * R(u,w,v5))) = L(x,y,a(u,w,v5) * z). [para(451734(a,1),995740(a,1,3,2,1)),rewrite([451734(4),174168(4),698308(8),1000228(8)])]. 1000268 L(x,y,z * R(z,u,w)) = L(x,y,a(z,u,w)). [para(635075(a,1),995740(a,2,3)),rewrite([26458(6),26458(5),994702(7),358287(5),1000248(5),26403(4),73667(7)]),flip(a)]. 1000272 L(x,y,z * L(R(u,w,v5) \ u,v6,v7)) = L(x,y,z * a(u,w,v5)). [para(667746(a,1),995740(a,1,3,2,1)),rewrite([667746(5),699860(10),1000229(10)])]. 1000309 L(x,y,a(z,u,w) * (v5 * v6)) = L(x,y,v6 * (v5 \ a(z,u,w))). [para(831720(a,1),995740(a,1,3,2,1)),rewrite([413219(8),73507(6),83661(4),454456(8)]),flip(a)]. 1000353 L(x,y,(z \ R(z,u,w)) * v5) = L(x,y,a(z,u,w) * v5). [back_rewrite(698308),rewrite([1000228(8)])]. 1000354 L(x,y,L(R(z,u,w) \ z,v5,v6) * v7) = L(x,y,v7 * a(z,u,w)). [back_rewrite(699860),rewrite([1000229(10)])]. 1000414 L(x,y,z * (u \ R(u \ 1,w,v5))) = L(x,y,a(u,w,v5) * z). [back_rewrite(272445),rewrite([1000248(10)])]. 1000416 L(x,y,z * (u \ R(u,w,v5))) = L(x,y,a(u,w,v5) * z). [back_rewrite(174168),rewrite([1000248(8)])]. 1000471 L(x,y,a(x,z,u)) = x. [back_rewrite(789689),rewrite([1000268(3)])]. 1000487 L(R(x,y,z) \ u,x,a(x,y,z)) = x \ ((R(x,y,z) \ x) * u). [back_rewrite(676108),rewrite([1000268(6),784411(5)])]. 1000516 L(x,y,R(z,u,w) \ z) = L(x,y,a(z,u,w)). [back_rewrite(358232),rewrite([1000268(6)])]. 1000517 L(x \ (R(y,z,u) \ y),x,a(y,z,u)) = ((y \ R(y,z,u)) * x) \ 1. [back_rewrite(358231),rewrite([1000268(6)])]. 1000535 L(x,y,z \ R(z,u,w)) = L(x,y,a(z,u,w)). [back_rewrite(174165),rewrite([1000268(6)])]. 1000536 L(x,y,z * a(z,u,w)) = L(x,y,L(z,u,w)). [back_rewrite(995733),rewrite([1000272(5)])]. 1001030 a(a(x,y,z),u,x) = 1. [hyper(7049,a,999199,a,b,1000471,a),rewrite([386964(9),999199(10),395220(11),395250(6)])]. 1001132 a(x,y,a(x,z,u)) = 1. [hyper(7049,a,1000471,a,b,999199,a),rewrite([999199(4),386964(13),394194(11),395103(6)])]. 1001136 a(x * y,z,a(y * x,u,w)) = 1. [hyper(7049,a,1000471,a,b,835168,a),rewrite([835168(6),13816(19),988469(18),159410(17),394194(16),979501(9),13816(9),396183(8),158808(5),51(4)])]. 1002176 a(x,y,z) * (x * u) = x * (a(x,y,z) * u). [para(1000471(a,1),11786(a,2,1)),rewrite([385631(4),410(3)])]. 1002181 (a(x,y,z) * u) * x = a(x,y,z) * (u * x). [para(1000471(a,1),380(a,1,2))]. 1002184 (x * a(y,z,u)) * y = a(y,z,u) * (x * y). [para(1000471(a,1),24258(a,1,2)),rewrite([561(6)])]. 1002238 a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u). [para(1000471(a,1),135397(a,1,2,1)),rewrite([397483(7)])]. 1002251 L(a(x,y,z),u,x) = a(x,y,z). [para(1000471(a,1),24269(a,1,2,2)),rewrite([52(5),1000471(4),382507(3)]),flip(a)]. 1002286 (x * y) * a(x,z,u) = x * (y * a(x,z,u)). [para(1000471(a,1),398776(a,1,1)),flip(a)]. 1002325 L(L(x \ 1,y,z),u,a(x,w,v5)) = L(x \ 1,y,z). [para(1000471(a,1),307866(a,1,2,1,2)),rewrite([323(4),379(5),49(5)]),flip(a)]. 1002390 a(x,a(y,z,x),u) = a(x,a(x,z,y),u). [back_rewrite(974928),rewrite([1001030(4),49(4)]),flip(a)]. 1002521 (x * (a(x,y,z) \ y)) * z = x * (y * z). [back_rewrite(628609),rewrite([1002238(3)])]. 1002645 x \ (a(x,y,z) * u) = (x \ u) * a(x,y,z). [para(1002251(a,1),135397(a,1,2,1)),rewrite([547(6)])]. 1002799 a(x,y,z) \ ((x \ 1) * u) = (x \ 1) * (a(x,y,z) \ u). [hyper(5081,a,206986,a,b,1002238,a),rewrite([46610(3),398536(3),46610(6),430841(6),46610(8)]),flip(a)]. 1002871 a(x,a(y,z,u),y) = a(x,y,a(y,z,u)). [hyper(5083,a,1002238,a(flip),b,594859,a),rewrite([397735(7),398359(6),398679(6)])]. 1002890 a(x,y,z) \ (u * x) = (a(x,y,z) \ u) * x. [para(410(a,1),1002238(a,1,2)),rewrite([394737(6),410(7)])]. 1002925 a(x,y,z) \ L(u,x,x) = L(a(x,y,z) \ u,x,x). [para(61613(a,1),1002238(a,1,2)),rewrite([1002799(8),61613(9)])]. 1002974 a(x * (y * (z * a(z,u,w))),v5,v6) = a(x * (z * (y * a(z,u,w))),v5,v6). [para(1002238(a,2),46791(a,1,1,2)),rewrite([1002238(3),431108(5),972029(10)]),flip(a)]. 1003231 R(x,y,L(z * L(z,u,w),v5,v6) * v7) = R(x,y,(z * L(z,u,w)) * v7). [para(1002238(a,2),839961(a,1,3)),rewrite([974453(3),459174(6),388135(5),975258(5),986742(6),981361(5),974453(10),388135(10),387714(12)])]. 1003309 a(x,y,z) * ((x \ 1) * u) = (x \ 1) * (a(x,y,z) * u). [back_rewrite(386953),rewrite([1002871(2),395304(6),339137(5)])]. 1003370 ((a(x,y,z) \ y) * x) * z = x * (T(y,x) * z). [back_rewrite(628619),rewrite([1002890(3)])]. 1003404 R(x,y,a(z,u,L(w,u,z)) * v5) = R(x,y,(w * L(w,u,z)) * v5). [back_rewrite(996237),rewrite([1003231(5)]),flip(a)]. 1003412 R(x,y,z * ((u * L(w,v5,v6)) \ (u * w))) = R(x,y,(w * L(w,v5,v6)) * z). [back_rewrite(981360),rewrite([1003231(5)]),flip(a)]. 1003465 (x \ (L(a(x,y,z) \ 1,x,u) \ 1)) * u = (x \ 1) * (a(x,y,z) * u). [back_rewrite(814235),rewrite([1003309(13)])]. 1003487 L(x,a(y,z,u),y) = L(x,y,a(y,z,u)). [back_rewrite(340339),rewrite([1003309(5),339133(9)])]. 1003545 (x * a(y,z,u)) * (y \ 1) = a(y,z,u) * (x * (y \ 1)). [back_rewrite(386969),rewrite([1003487(2),384332(5)]),flip(a)]. 1004137 x * ((a(y,z,x) \ z) * y) = L(x,z,y) * (z * y). [hyper(5081,a,11786,a(flip),b,1003370,a),rewrite([26536(2),410(3),410(5),13983(6),410(8),450137(9)]),flip(a)]. 1004364 R(x,y,z) * ((a(u,w,L(x,y,z)) \ w) * u) = L(R(x,y,z),w,u) * (w * u). [hyper(5083,a,1003370,a(flip),b,5593,a),rewrite([990045(2),407924(5),5754(7),38502(7),45742(6),201268(5),168(4),103393(6),990045(7)]),flip(a)]. 1004503 a(x * (y * ((z / u) * w)),v5,v6) = a(x * (y * ((u \ z) * w)),v5,v6). [para(1003370(a,1),46992(a,1,1)),rewrite([13786(6),136497(8),1003370(13),13786(11)])]. 1004539 L(x,y,z * (u * ((w \ v5) \ v5))) = L(x,y,z * (u * w)). [para(1003370(a,1),83736(a,1,3)),rewrite([85465(6),14982(8),1003370(9),85465(9)])]. 1004723 a(x * (y * R(z \ a(u,w,a(v5,v6,v7)),v8,v9)),v10,v11) = a(x * (y * R(z,v8,v9)),v10,v11). [para(1003370(a,1),337703(a,1,1)),rewrite([13786(8),990045(13),308799(13),1004364(13),24885(12)])]. 1004862 L(x,y,z * (u * (w * (v5 \ 1)))) = L(x,y,z * (u * (w * v5))). [para(1003370(a,1),85799(a,1,3,2)),rewrite([85822(7),184725(7),72881(9),1003370(10),184725(11)])]. 1005125 L(x,y,z * (u * (w * (v5 \ a(a(v6,v7,v8),v9,v10))))) = L(x,y,z * (u * (w * v5))). [back_rewrite(701900),rewrite([1004862(13)])]. 1005239 a(x,y,z) * ((a(x,y,z) \ u) * x) = u * x. [hyper(5081,a,335944,a,b,1002181,a),rewrite([1002181(6),66975(7),6706(4),397122(6),1002890(4),6706(9),397122(10),51(9)])]. 1005275 x * ((x \ y) * a(x,z,u)) = a(x,z,u) * y. [hyper(295,a,385515,a(flip),b,1002181,a),rewrite([53(7)])]. 1005362 (a(x,y,z) * u) * (x \ 1) = (u * (x \ 1)) * a(x,y,z). [hyper(5083,a,1002181,a(flip),b,338685,a),rewrite([440389(6),20152(6),400789(9),388135(8),389042(9),440389(9),20152(9)]),flip(a)]. 1005539 a(x * (a(y,z,u) * (w * y)),v5,v6) = a(x * (y * (a(y,z,u) * w)),v5,v6). [para(1002181(a,1),46791(a,1,1,2))]. 1005541 a(x * (y * (a(y,z,u) * w)),v5,v6) = a(x * (w * (y * a(y,z,u))),v5,v6). [para(1002181(a,2),46791(a,1,1,2)),rewrite([1002181(3),1005539(5),968089(10)])]. 1005579 (x \ 1) * (R(x \ 1,y,z) * a(L(x,y,z),u,w)) = a(L(x,y,z),u,w) * (x \ R(1 / x,y,z)). [para(173697(a,1),1002181(a,2,2)),rewrite([796320(4),70580(4),297569(9),796320(13),70580(13)])]. 1006451 x \ (y * a(x,z,u)) = (x \ y) * a(x,z,u). [hyper(7088,a,1002286,a,b,385515,a),rewrite([428327(4),51(5)]),flip(a)]. 1006530 (x \ 1) \ (y * a(x,z,u)) = ((x \ 1) \ y) * a(x,z,u). [hyper(5083,a,1002286,a,b,134854,a),rewrite([51(4)])]. 1006554 ((x \ 1) * y) * a(x,z,u) = (x \ 1) * (y * a(x,z,u)). [hyper(5081,a,206986,a,b,1002286,a),rewrite([46610(3),46610(6),206986(6),46610(11)]),flip(a)]. 1006690 L(x,y,y) * a(y,z,u) = L(x * a(y,z,u),y,y). [para(61613(a,1),1002286(a,1,1)),rewrite([1006554(8),61613(9)])]. 1006829 a(L(x,a(y,z,u),w) * v5,v6,v7) = a(x * v5,v6,v7). [para(1002286(a,1),218856(a,1,1)),rewrite([681608(4)])]. 1006999 L(x,L(y * z,y,y),u) = L(x,y \ z,u). [para(1002286(a,1),494773(a,1,2)),rewrite([724756(3),51(5),68875(4)]),flip(a)]. 1007129 (x \ 1) * (y * a(x,L(x,z,u),y)) = L(x \ y,x,a(x,z,u)). [back_rewrite(855087),rewrite([1006554(6)])]. 1007228 a(x * ((y * L(y,z,u)) * w),v5,v6) = a(w * (x * (y * L(y,z,u))),v5,v6). [back_rewrite(990982),rewrite([1006829(7)]),flip(a)]. 1007273 a(L(x * y,x,x) \ z,u,w) = a((x \ y) \ z,u,w). [back_rewrite(759097),rewrite([1006999(5),759195(6)]),flip(a)]. 1007414 (x \ R(x,y,z)) * a(x,u,w) = R(x,y,z) * (x \ a(x,u,w)). [hyper(295,a,62852,a(flip),b,1006530,a),rewrite([275510(8),272488(10),324(7),48(7)]),flip(a)]. 1007476 (x \ 1) \ (a(x,y,z) * u) = ((x \ 1) \ u) * a(x,y,z). [para(410(a,2),1006530(a,1,2)),rewrite([561(5)])]. 1007789 L(x,y,a(z,u,w) * z) = L(x,y,L(z,u,w)). [para(1006530(a,2),83128(a,1,3)),rewrite([43754(6),420356(6),26402(5),339041(4),83105(5),1000536(3),338014(6),612199(5)]),flip(a)]. 1008044 (L(x \ 1,y,z) * u) * a(x,w,v5) = L(x \ 1,y,z) * (u * a(x,w,v5)). [para(1002325(a,1),398776(a,1,1)),flip(a)]. 1008249 (L(x,y,z) * u) * a(x,w,v5) = L(x,y,z) * (u * a(x,w,v5)). [para(340(a,1),1008044(a,1,1,1,1)),rewrite([12554(5),46610(5),340(8),12554(8),46610(8)])]. 1008593 a(x,y,z) \ (L(x,u,w) * v5) = L(x,u,w) * (a(x,y,z) \ v5). [hyper(7088,a,1008249,a(flip),b,112669,a),rewrite([6743(7),561(6),6743(7),6706(8),400742(10),323(9),49(8)]),flip(a)]. 1009052 L(x \ L(x,y,z),u,z) \ 1 = L(x,y,z) \ x. [para(1001132(a,1),975260(a,1,1)),rewrite([48(4)]),flip(a)]. 1009056 a(x,y,L(z,z,y)) = L(z,y,x) \ z. [back_rewrite(996489),rewrite([1009052(5)]),flip(a)]. 1009803 ((x * R(y,z,u)) * a(w,v5,v6)) / (L(a(w,v5,v6) \ 1,y,x) \ R(y,z,u)) = x. [hyper(5142,a,132440,a(flip),b,1004137,a),rewrite([784411(3),784046(6),785325(7),388135(8),70732(8),106623(10),421274(10)])]. 1009836 L(x,y,z) * (x \ (y * z)) = (a(z,y,x) \ y) * z. [hyper(5083,a,158018,a,b,1004137,a),rewrite([158018(9),158527(8),160077(8),72881(7)])]. 1012742 L(x,y,z * (u \ a(w,v5,v6))) = L(x,y,z * (u * a(w,v5,v6))). [hyper(295,a,301373,a(flip),b,1000309,a),flip(a)]. 1012935 L(x,y,z * (u \ L(a(w,v5,v6),v7,v8))) = L(x,y,a(w,v5,v6) * (z * u)). [para(504398(a,1),1012742(a,2,3,2)),rewrite([399873(5),388186(5),452664(5),663760(11),388661(10),421415(10),277393(12),626022(10)])]. 1013075 (L(L(a(x,y,z),u,w) \ 1,v5,v6) \ v5) / (v6 \ (v5 * L(a(x,y,z),u,w))) = L(v6,v5,a(x,y,z)). [hyper(5142,a,398604,a,b,1009836,a),rewrite([383775(5),388135(5),629630(7),421274(7),388668(8),388653(4),339196(14)])]. 1013078 (L(a(x,y,z) \ 1,u,w) \ u) / (w \ (u * a(x,y,z))) = L(w,u,a(x,y,z)). [hyper(5142,a,397087,a,b,1009836,a),rewrite([388135(6),16927(7),397087(4),7735(5),394583(4),400701(7)])]. 1014059 L(x,a(y,z,x),u) = L(x,a(x,z,y),u). [para(1002390(a,1),339095(a,1,2)),rewrite([339095(5),386985(3),386985(5)]),flip(a)]. 1014100 a(x,a(y \ (z \ y),u,x),w) = a(x,a(x,u,z),w). [para(492437(a,2),1002390(a,1,2)),rewrite([492437(8),990499(8),990695(8)])]. 1014150 a(x,a(x,y,z * L(u * w,u,u)),v5) = a(x,a(z * (u \ w),y,x),v5). [para(758229(a,1),1002390(a,1,2)),flip(a)]. 1014151 a(x,a(y \ (z \ u),w,x),v5) = a(x,a(y * (z \ u),w,x),v5). [para(758917(a,1),1002390(a,1,2)),rewrite([990499(9),1014150(9)])]. 1014194 a(x,a(y * (z \ y),u,x),w) = a(x,a(x,u,z),w). [back_rewrite(1014100),rewrite([1014151(4)])]. 1014225 a(x,y,L(L(z,L(z,u,w),y),u,w)) = L(z \ L(z,y,x),u,w) \ 1. [hyper(5081,a,96747,a,b,1009056,a),rewrite([625612(5),31850(8),492252(6),27485(10),164120(10)]),flip(a)]. 1014229 L(L(x,y,z) \ x,u,z) = L(x,y,z) \ x. [hyper(295,a,1002251,a,b,1009056,a),rewrite([1009056(2)])]. 1014248 a(x,R(y,z,u),L(w,w,L(y,z,u))) = L(w,R(y,z,u),x) \ w. [hyper(295,a,14826,a,b,1009056,a),rewrite([209136(4),14826(5)])]. 1014282 L((x * y) \ x,z,u) \ L(y \ 1,z,u) = a(x,y,L(y,z,u)). [para(57669(a,1),1009056(a,2,1)),rewrite([70578(7),150510(5),699439(5),60426(3),49(4),251008(4),158417(4)]),flip(a)]. 1014299 a(x,y,z * R(z,u,w)) = a(x,y,a(z,u,w)). [para(272623(a,2),1009056(a,1,3)),rewrite([174146(3),174146(7),272623(8),812054(5),648182(3),779416(9)])]. 1014376 L(x \ y,y,z) \ (x \ y) = a(z,y,y \ x). [para(496002(a,1),1009056(a,1,3)),rewrite([239473(6),771266(6),439552(4)]),flip(a)]. 1014381 L(x,L(x,y,z),u) \ x = a(u,x,L(x,y,z)). [para(150510(a,2),1009056(a,1,3)),rewrite([738290(3),464171(3),401608(2)]),flip(a)]. 1014388 L(x \ L(x,L(x,y,z),u),w,v5) \ 1 = a(u,L(x,y,z),L(x,w,v5)). [para(699296(a,1),1009056(a,1,3)),rewrite([738290(3),466233(4),306590(8)]),flip(a)]. 1014396 L(x \ L(x,y,z),u \ w,v5) = L(x \ L(x,y,z),w * u,v5). [para(1009056(a,1),787097(a,1,1,1)),rewrite([975095(4),49(4),1009056(6),975095(8),49(8)])]. 1014397 L(L(x,y,z) \ x,u,L(w,v5,v6)) = L(L(x,y,z) \ x,u,w). [para(1009056(a,1),792499(a,1,1)),rewrite([1009056(6)])]. 1014398 L(L(x,y,z) \ x,u,w \ v5) = L(L(x,y,z) \ x,u,w * v5). [para(1009056(a,1),793077(a,1,1)),rewrite([1009056(6)])]. 1014405 a(L(x,y,z) * (x \ (u * w)),v5,v6) = a(u * ((x * L(x,y,z)) * w),v5,v6). [para(1009056(a,1),967855(a,1,1,1)),rewrite([988452(5),1009056(7),165253(10)])]. 1014407 L(L(x,y,z) \ x,L(x,x,y),z * y) = L(x \ L(x,y,z),x,y) \ 1. [para(1009056(a,1),974709(a,1,1)),rewrite([306590(9)])]. 1014422 ((x \ L(x,y,z)) * u) * z = (x \ L(x,y,z)) * (u * z). [para(1009056(a,1),1002890(a,1,1)),rewrite([975095(4),1009056(6),975095(7)]),flip(a)]. 1014465 L(x \ L(x,x,y),z,u) \ w = a(y,x,L(x,z,u)) * w. [back_rewrite(989637),rewrite([1014282(11)])]. 1014596 a(x,y,R(z,u,w) \ z) = a(x,y,a(z,u,w)). [back_rewrite(648501),rewrite([1014299(6)])]. 1014598 a(x,y,z \ R(z,u,w)) = a(x,y,a(z,u,w)). [back_rewrite(648182),rewrite([1014299(6)])]. 1014685 a(x,y,L(y \ z,y,x)) = a(x,y,y \ z). [back_rewrite(978519),rewrite([1014376(7)])]. 1014691 (x * ((y * x) \ (y * z))) \ z = a(y,x,x \ z). [back_rewrite(978503),rewrite([1014376(4)]),flip(a)]. 1014696 L(a(x,y,L(y,z,u)) \ 1,w,v5) \ 1 = a(x,L(y,z,u),L(y,w,v5)). [back_rewrite(986791),rewrite([1014381(5),979015(5),1014388(13)])]. 1015118 L(x,y,z) \ (L(a(z,y,y \ (x \ y)),u,w) \ x) = a(w,u,a(z,y,x)). [back_rewrite(993806),rewrite([1014685(5)])]. 1015158 a(x,a(y,z,z \ (u \ z)) * w,a(v5,v6,v7)) = a(x,u * (L(u,z,y) * w),a(v5,v6,v7)). [back_rewrite(993743),rewrite([1014685(4)])]. 1015274 a(x,y * a(z,u,u \ (w \ u)),v5) = a(x,y * (w \ L(w,u,z)),v5). [back_rewrite(993529),rewrite([1014685(4)])]. 1015301 L(x \ L(x,y,z),u,w) * a(w,u,u \ (x \ u)) = x * L(L(x,u,w) \ 1,y,z). [back_rewrite(993487),rewrite([1014685(7)])]. 1015323 L(x,y,z) * (x \ L(a(z,y,y \ (x \ y)),u,w)) = a(a(z,y,x),u,w). [back_rewrite(993445),rewrite([1014685(5)])]. 1015334 a(x * (y \ a(z,u,u \ (w \ u))),v5,v6) = a(x * (y \ (L(w,u,z) \ w)),v5,v6). [back_rewrite(993426),rewrite([1014685(4)])]. 1015372 a(L(x * y,z,u) * ((x * y) \ w),v5,v6) = a(a(u,z,z \ ((y / x) \ z)) * w,v5,v6). [back_rewrite(993368),rewrite([1014685(11)])]. 1015388 L(x,a(y,z,z \ (u \ z)) * w,v5) = L(x,(u * L(u,z,y)) * w,v5). [back_rewrite(993345),rewrite([1014685(5),239834(4)])]. 1015390 a(x,(y * L(y,z,u)) * w,v5) = a(x,w * a(u,z,z \ (y \ z)),v5). [back_rewrite(993343),rewrite([1014685(9),239834(8)])]. 1015394 a(L(x,y,z) * (x \ u),w,v5) = a(a(z,y,y \ (x \ y)) * u,w,v5). [back_rewrite(993339),rewrite([1014685(10),235228(9)])]. 1015395 a(x \ ((y * L(y,z,u)) * w),v5,v6) = a(a(u,z,z \ (y \ z)) * (x \ w),v5,v6). [back_rewrite(993338),rewrite([1014685(9)])]. 1015405 L(x,y * a(z,u,u \ (w \ u)),v5) = L(x,y * (w * L(w,u,z)),v5). [back_rewrite(993321),rewrite([1014685(4)])]. 1015465 a(x * ((y * L(y,z,u)) * w),v5,v6) = a(x * (w * a(u,z,z \ (y \ z))),v5,v6). [back_rewrite(993229),rewrite([1014685(9)])]. 1015486 a(x,y,y \ (z \ y)) \ z = L(z,y,x). [back_rewrite(993196),rewrite([1014685(4)])]. 1015581 x \ a(y,z,z \ (x \ z)) = L(x,z,y) \ 1. [back_rewrite(992969),rewrite([1014685(4)])]. 1015799 a(x,y,L(z,y,x)) = a(x,y,z). [back_rewrite(990458),rewrite([1014691(9),96925(4),58(2),13983(2)]),flip(a)]. 1015984 R(x,y,(z * L(z,u,w)) * v5) = R(x,y,a(w,u,z) * v5). [back_rewrite(1003404),rewrite([1015799(2)]),flip(a)]. 1016043 a(((x * L(x,y,z)) * u) * w,v5,v6) = a(a(z,y,x) * (w * u),v5,v6). [back_rewrite(996485),rewrite([1015799(2)]),flip(a)]. 1016194 L(a(x,y,z) / u,u,a(x,y,z)) = (u * ((L(z \ L(z,y,x),z,y) * u) \ 1)) / u. [back_rewrite(996196),rewrite([1015799(2)])]. 1016210 a(L(x,y,z) * (x \ u),w,v5) = a(u * a(z,y,x),w,v5). [back_rewrite(996143),rewrite([1015799(6)])]. 1016215 L(x \ L(x,y,z),x,y) = a(z,y,x) \ 1. [back_rewrite(996123),rewrite([1015799(5)])]. 1016218 L(x \ L(x,L(y,z,u),w),x,y) \ 1 = a(w,L(y,z,u),x). [back_rewrite(996072),rewrite([1015799(4)]),flip(a)]. 1016299 a(x * (y * L(y,z,u)),w,v5) = a(a(u,z,y) * x,w,v5). [back_rewrite(989337),rewrite([1015799(2)]),flip(a)]. 1016341 a(x,a(y,z,x),y * z) = a(z,x,a(y,z,x)). [back_rewrite(985059),rewrite([1015799(3),974710(4)])]. 1016348 L(x,y,z) * a(z,y,x) = L(x,a(z,y,x),y). [back_rewrite(984393),rewrite([1015799(3)])]. 1016354 L(L(x,a(y,z,x),z),z,y) = a(y,z,x) \ x. [back_rewrite(984349),rewrite([1015799(5)])]. 1016367 a(x * y,z,a(x,y,z)) = a(y,z,a(x,y,z)). [back_rewrite(974541),rewrite([1015799(3),983093(4)])]. 1016742 L(x,y,z) \ (y * x) = T(a(z,y,x) * y,x). [back_rewrite(874212),rewrite([1015799(2),1015799(6),630150(7)]),flip(a)]. 1016788 L(x,y * (z * a(u,w,y)),a(v5,v6,v7)) = L(x,L(y,w,u) * z,a(v5,v6,v7)). [back_rewrite(791214),rewrite([1015799(2)])]. 1017107 K(x,T(y,z)) * (u * a(w,u,z)) = z * (K(x,y) * (L(z,u,w) \ u)). [back_rewrite(641186),rewrite([1015799(4)])]. 1017497 (a(x,y,z) * y) \ (z * y) = L(T(z,y),y,x). [back_rewrite(635784),rewrite([1015799(2)])]. 1017517 (x * a(y,x,z)) \ (x * z) = L(z,x,y). [back_rewrite(635733),rewrite([1015799(2)])]. 1017541 (a(x,y,z) * y) \ (y * z) = L(z,y,x). [back_rewrite(627135),rewrite([1015799(2)])]. 1018095 L(L(x,y,z) \ x,L(x,x,y),z * y) = a(z,y,x). [back_rewrite(1014407),rewrite([1016215(8),6743(10)])]. 1018141 R(x,y,z * ((u * L(w,v5,v6)) \ (u * w))) = R(x,y,a(v6,v5,w) * z). [back_rewrite(1003412),rewrite([1015984(10)])]. 1018155 a(x,y,(z * L(z,u,w)) * v5) = a(x,y,a(w,u,z) * v5). [back_rewrite(994181),rewrite([1015984(4),266383(8)]),flip(a)]. 1018245 R(x,y,z * (u * (z \ L(z,w,v5)))) = R(x,y,z * (u * a(v5,w,z))). [back_rewrite(840188),rewrite([1015984(5),626704(3)]),flip(a)]. 1018272 R(x,y,(L(z,u,w) \ z) * v5) = R(x,y,a(w,u,z) * v5). [back_rewrite(840118),rewrite([1015984(8)])]. 1018275 R(x,y,z * (L(u,w,v5) \ u)) = R(x,y,a(v5,w,u) * z). [back_rewrite(840111),rewrite([1015984(4)]),flip(a)]. 1018336 a(x * (y * L(z \ L(z,u,w),v5,v6)),v7,v8) = a(a(w,u,z) * (x * y),v7,v8). [back_rewrite(986769),rewrite([1016043(11)])]. 1018353 a(x * (y * (z \ L(z,u,w))),v5,v6) = a(a(w,u,z) * (x * y),v5,v6). [back_rewrite(599560),rewrite([1016043(5)]),flip(a)]. 1018371 a(x * ((y * L(y,z,u)) * w),v5,v6) = a(x * (w * a(u,z,y)),v5,v6). [back_rewrite(1014405),rewrite([1016210(5),13808(4)]),flip(a)]. 1018381 a(L(x \ y,x,L(x,z,u)),w,v5) = a(x * y,w,v5). [back_rewrite(988351),rewrite([1016210(7),13808(6),626842(4),1016348(3),971943(5),1006829(4)]),flip(a)]. 1018393 L(a(x,y,z) / u,u,a(x,y,z)) = 1 / (a(x,y,z) \ u). [back_rewrite(1016194),rewrite([1016215(7),397122(8),717822(10)])]. 1018394 a(a(x,y,y \ (z \ y)) * u,w,v5) = a(u * a(x,y,z),w,v5). [back_rewrite(1015394),rewrite([1016210(4)]),flip(a)]. 1018396 a(x * a(y,z,u \ w),v5,v6) = a(x * a(y,z,u * w),v5,v6). [back_rewrite(1015372),rewrite([1016210(6),1018394(10),14988(6)]),flip(a)]. 1018527 a(x * a(y,z,L(u,w,v5)),v6,v7) = a(x * a(y,z,u),v6,v7). [back_rewrite(988280),rewrite([1016210(6),1016210(8)])]. 1018539 a(a(x,y,L(z,u,w)) * v5,v6,v7) = a(v5 * a(x,y,z),v6,v7). [back_rewrite(988267),rewrite([1016299(6),1016210(8)])]. 1018592 a(x \ (y * L(x,z,u)),w,v5) = a(y * a(u,z,x),w,v5). [back_rewrite(160639),rewrite([1016210(8)])]. 1018660 a(a(x,y,z) * L(L(z,y,x),u,w),v5,v6) = a(L(z,u,w),v5,v6). [back_rewrite(987112),rewrite([1016299(8),250971(7),667697(7)])]. 1018709 a(a(x,y,z \ (u \ z)) * w,v5,v6) = a(a(x,y,u) * w,v5,v6). [back_rewrite(973740),rewrite([1016299(8),1016299(9)])]. 1018805 a(x * (y \ L(y,z,u)),w,v5) = a(a(u,z,y) * x,w,v5). [back_rewrite(133669),rewrite([1016299(8)])]. 1018818 a(x,y,z) \ (L(z,y,x) \ z) = a(y,z,a(x,y,z)). [back_rewrite(981907),rewrite([1016341(7)])]. 1018837 a(x,y,z) * (z \ L(z,y,x)) = a(y,z,a(x,y,z)). [back_rewrite(983092),rewrite([1016367(7)])]. 1018852 a(x * y,z,a(z,x,y)) = a(x,z,a(y,x,z)). [back_rewrite(979498),rewrite([1016367(6)])]. 1018952 L(x,L(y,z,z) * u,a(w,v5,v6)) = L(x,y * L(u,z,z),a(w,v5,v6)). [back_rewrite(786834),rewrite([1016788(5)])]. 1019307 a(x,y,L(z \ L(z,u,w),v5,v6) * v7) = a(x,y,a(w,u,L(z,v5,v6)) * v7). [back_rewrite(712545),rewrite([1018155(6)]),flip(a)]. 1019324 a(x,y,z * ((z \ L(z,u,w)) * v5)) = a(x,y,a(w,u,z) * (v5 * z)). [back_rewrite(351543),rewrite([1018155(5)]),flip(a)]. 1019325 a(x,y,z * (u * (z \ L(z,w,v5)))) = a(x,y,z * (u * a(v5,w,z))). [back_rewrite(350763),rewrite([1018155(5),626704(3)]),flip(a)]. 1019340 a(x,y,(L(z,u,w) \ z) * v5) = a(x,y,a(w,u,z) * v5). [back_rewrite(165286),rewrite([1018155(8)])]. 1019388 R(x,y,a(z,u,w) * w) = R(x,y,L(w,u,z)). [back_rewrite(217723),rewrite([1018275(4)])]. 1019400 a(x * (y * a(z,u,x)),w,v5) = a(L(x,u,z) * y,w,v5). [back_rewrite(971999),rewrite([1018353(5),626704(3)])]. 1019401 a(x * (y * (L(y,z,u) * R(y,w,v5))),v6,v7) = a(a(u,z,y) * (x * R(y,w,v5)),v6,v7). [back_rewrite(460366),rewrite([1018353(6)]),flip(a)]. 1019415 a(x * (y * a(z,u,u \ (w \ u))),v5,v6) = a(x * (y * a(z,u,w)),v5,v6). [back_rewrite(1015465),rewrite([1018371(5)]),flip(a)]. 1019416 a(x * (y * (z * L(z,u,w))),v5,v6) = a(y * (x * a(w,u,z)),v5,v6). [back_rewrite(1007228),rewrite([1018371(5)]),flip(a)]. 1019417 a(L(x,y,z) * (u * a(w,v5,x)),v6,v7) = a(u * L(L(x,y,z),v5,w),v6,v7). [back_rewrite(987471),rewrite([1018371(6)])]. 1019438 a(x * ((y \ L(y,z,u)) * w),v5,v6) = a(x * (w * a(u,z,y)),v5,v6). [back_rewrite(64173),rewrite([1018371(10)])]. 1019441 a(x \ (L(x,y,z) \ u),w,v5) = a(x * (u * L(x,y,z)),w,v5). [back_rewrite(988475),rewrite([1018381(6)]),flip(a)]. 1019445 a(x * L(L(y,z,u),z,u),w,v5) = a(y * x,w,v5). [back_rewrite(987470),rewrite([1018381(4)]),flip(a)]. 1019457 a(x \ ((y * L(y,z,u)) * w),v5,v6) = a((x \ w) * a(u,z,y),v5,v6). [back_rewrite(1015395),rewrite([1018394(11)])]. 1019553 a(x,y,z) \ R(x,y,z) = L(x,a(z,y,x),y). [back_rewrite(820833),rewrite([1018852(3),978104(3)]),flip(a)]. 1019554 (x \ R(x,y,z)) * (a(x,y,z) \ u) = u * a(y,x,a(z,y,x)). [back_rewrite(820829),rewrite([1018852(8)])]. 1019562 L(a(x,y,z),u,w) \ L(x \ R(x,y,z),u,w) = a(y,x,a(z,y,x)). [back_rewrite(820779),rewrite([1018852(9)])]. 1019612 L(x,y * (z \ (z \ u)),a(w,v5,v6)) = L(x,y * L(u,z,z),a(w,v5,v6)). [back_rewrite(790946),rewrite([1018952(9)])]. 1019727 a(x,y,L(L(z,u,w) \ z,v5,v6) \ v7) = a(x,y,a(w,u,L(z,v5,v6)) * v7). [back_rewrite(987864),rewrite([1019307(10)])]. 1019787 a(x * (L(y,z,u) * (y \ R(y,w,v5))),v6,v7) = a(a(u,z,y) * (x * R(y,w,v5)),v6,v7). [back_rewrite(460280),rewrite([1019401(12)])]. 1019798 a(x * (y * a(z,u,y)),w,v5) = a(L(y,u,z) * x,w,v5). [back_rewrite(972005),rewrite([1019416(5)])]. 1019802 a(a(x,y,z) * (L(z,u,w) * v5),v6,v7) = a(v5 * L(L(z,u,w),y,x),v6,v7). [back_rewrite(643625),rewrite([1019417(5)]),flip(a)]. 1019831 a((L(x,y,z) \ u) * a(z,y,x),w,v5) = a(x \ u,w,v5). [back_rewrite(985292),rewrite([1019457(6)])]. 1019987 a(x * (a(y,z,x) * u),w,v5) = a(L(x,z,y) * u,w,v5). [back_rewrite(628267),rewrite([1019798(8)])]. 1019989 a(L(x,y,z) * (a(u,w,x) * v5),v6,v7) = a(v5 * L(L(x,y,z),w,u),v6,v7). [back_rewrite(644439),rewrite([1019802(10)])]. 1020021 a(a(x,y,z) * (u * L(z,w,v5)),v6,v7) = a(u * L(L(z,w,v5),y,x),v6,v7). [back_rewrite(638457),rewrite([1019989(5)]),flip(a)]. 1020137 (a(x,y,L(y,z,u)) * y) \ (y * y) = L(y,R(y,z,u),x). [para(11009(a,1),1017517(a,1,2)),rewrite([985390(3),655959(7)])]. 1020186 L(x,R(x,y,z),u) = L(x,L(x,y,z),u). [para(13654(a,1),1017517(a,1,2)),rewrite([401608(3),656007(7),1020137(5)])]. 1020344 L(x \ R(x,y,z),L(x,u,w),v5) = L(x \ R(x,y,z),x,v5). [para(460099(a,2),1017517(a,1,2)),rewrite([1014598(5),784550(4),17022(4),460099(8),388127(9),50(6),973951(4),1007414(5),396682(5),978917(4)]),flip(a)]. 1020419 L(a(x,y,z),(u \ w) * v5,v6) = L(a(x,y,z),w * (u * v5),v6). [para(785983(a,1),1017517(a,1,1,2)),rewrite([7735(7),388185(12),50(7),383788(6)]),flip(a)]. 1020453 a(x,y,L(z,u,w)) * a(a(x,y,z),v5,v6) = L(a(x,y,L(z,u,w)),v5,v6). [para(974609(a,1),1017517(a,1,1,2)),rewrite([431670(7),386756(5)])]. 1020456 L(a(x,y,z),u,L(w,v5,v6) * v7) = L(a(x,y,z),u,w * L(v7,v5,v6)). [para(991909(a,1),1017517(a,1,1,2)),rewrite([1017517(8)]),flip(a)]. 1020471 a(x,R(y,z,u),L(y,z,u)) = a(x,L(y,z,u),L(y,z,u)). [back_rewrite(990145),rewrite([1020186(2),1014388(6)]),flip(a)]. 1020514 L(a(x,y,z),u,w) = a(L(x,u,w),y,z). [back_rewrite(820675),rewrite([1020344(5),256868(4)])]. 1020641 R(x,L(y,z,u),R(y,z,u)) = R(x,L(y,z,u),L(y,z,u)). [back_rewrite(996521),rewrite([1020471(3),102537(4)]),flip(a)]. 1020685 a(L(x,y,L(z,u,w) * v5),v6,v7) = a(L(x,y,z * L(v5,u,w)),v6,v7). [back_rewrite(1020456),rewrite([1020514(4),1020514(8)])]. 1020687 a(x,y,L(z,u,w)) * a(a(x,y,z),v5,v6) = a(L(x,v5,v6),y,L(z,u,w)). [back_rewrite(1020453),rewrite([1020514(8)])]. 1020689 a(L(x,(y \ z) * u,w),v5,v6) = a(L(x,z * (y * u),w),v5,v6). [back_rewrite(1020419),rewrite([1020514(4),1020514(8)])]. 1020704 a(L(x,y,z),u,w) \ L(x \ R(x,u,w),y,z) = a(u,x,a(w,u,x)). [back_rewrite(1019562),rewrite([1020514(2)])]. 1020749 L(x,y,L(z,u,w)) \ L(x,y,z) = a(a(z,y,x),u,w). [back_rewrite(1015323),rewrite([1020514(5),1015581(6),310397(6)])]. 1020762 L(x,y,z) \ L(x,y,L(z,u,w)) = a(w,u,a(z,y,x)). [back_rewrite(1015118),rewrite([1020514(5),1015486(6)])]. 1020789 L(x,y,a(L(z,u,w),v5,v6)) = L(x,y,a(z,v5,v6)). [back_rewrite(1013075),rewrite([1020514(2),1020514(8),1013078(11)])]. 1020791 L(x,y,z * (u * a(L(w,v5,v6),v7,v8))) = L(x,y,a(w,v7,v8) * (z * u)). [back_rewrite(1012935),rewrite([1020514(2),1012742(5)])]. 1021323 a(L(x,y,z),u,w) \ a(x,u,w) = a(z,y,a(x,u,w)). [back_rewrite(979577),rewrite([1020514(2),431744(8)])]. 1021332 (a(x,y,z) * z) * (z \ u) = u * a(L(x,z,u),y,z). [back_rewrite(977644),rewrite([1020514(6)])]. 1021380 a(a(L(x,y,z),u,w) * v5,v6,v7) = a(v5 * a(x,u,w),v6,v7). [back_rewrite(969575),rewrite([1020514(2),759627(6),759619(6)])]. 1021413 a(a(L(x,y,z),u,w),v5,v6) = a(a(x,u,w),v5,v6). [back_rewrite(966544),rewrite([1020514(2),1020514(8),386590(11)])]. 1021453 a(x,y,z) \ a(L(x,u,w),y,z) = a(a(x,y,z),u,w). [back_rewrite(915524),rewrite([1020514(2),499770(10)])]. 1021479 T(a(L(x,y,y),z,u) \ y,y \ 1) = (a(x,z,u) \ 1) / (1 / y). [back_rewrite(898663),rewrite([1020514(2)])]. 1021539 L(x * a(L(y,z,u),w,v5),v6,a(y,w,v5) * x) = a(L(y,z,u),w,v5) * L(x,v6,x). [back_rewrite(864471),rewrite([1020514(2),500938(7),864426(7),1020514(6)]),flip(a)]. 1021553 a(x,y,a(L(L(z,u,w),v5,v6),v7,v8) * v9) = a(x,y,v9 * a(z,v7,v8)). [back_rewrite(858102),rewrite([1020514(2),1020514(3),398396(5)])]. 1021560 L(a(L(L(x,y,z),u,w),v5,v6) \ 1,y,z) = a(L(x,u,w),v5,v6) \ 1. [back_rewrite(858090),rewrite([1020514(2),1020514(3),1020514(8)])]. 1021589 a(x,y,a(L(z,u,w),v5,v6)) = a(x,y,a(z,v5,v6)). [back_rewrite(858040),rewrite([1020514(2),1020514(8),454054(10)])]. 1021611 a(L(x,y,z),u,w) * (v5 \ (a(L(x,y,z),u,w) \ v6)) = a(x,u,w) \ (v5 \ (v6 * a(x,u,w))). [back_rewrite(857999),rewrite([1020514(2),1020514(6),101346(7)])]. 1021615 a(x,y,z * a(L(u,w,v5),v6,v7)) = a(x,y,z * a(u,v6,v7)). [back_rewrite(857991),rewrite([1020514(2),1020514(3),1020514(4),1021553(6)])]. 1021770 ((x \ a(L(x,x,y),z,u)) * y) \ ((x \ a(x,z,u)) * y) = a(y,x,a(x,z,u)). [back_rewrite(836390),rewrite([1020514(2)])]. 1021776 a(L(x,y,a(x,z,u) * y),z,u) = ((a(x,z,u) / y) \ 1) \ y. [back_rewrite(834805),rewrite([1020514(4)])]. 1021780 a(L(x,y,y * a(x,z,u)),z,u) \ y = (a(x,z,u) / y) \ 1. [back_rewrite(832549),rewrite([1020514(4)])]. 1021860 a(L(L(x,y,z),u,w),v5,v6) \ a(x,v5,v6) = a(w,u,a(x,v5,v6)) * a(z,y,a(x,v5,v6)). [back_rewrite(804901),rewrite([1020514(2),1020514(3),430263(7)])]. 1022056 a(L(x,y,(z * u) * w),v5,v6) = a(L(x,y,u * (z \ w)),v5,v6). [back_rewrite(793093),rewrite([1020514(4),1020514(8)])]. 1022066 a(L(x,y,z \ u),w,v5) = a(L(x,y,z * u),w,v5). [back_rewrite(793077),rewrite([1020514(3),1020514(6)])]. 1022100 a(L(x,y,L(z,u,w)),v5,v6) = a(L(x,y,z),v5,v6). [back_rewrite(792499),rewrite([1020514(3),1020514(5)])]. 1022119 a(L(x,y,z),u,w) \ a(L(x,v5,v6),u,w) = a(z,y,a(x,u,w)) * a(a(x,u,w),v5,v6). [back_rewrite(790364),rewrite([1020514(2),1020514(5),431670(7)])]. 1022171 a(L(x,L(y,z,u),w),v5,v6) = a(L(x,y,w),v5,v6). [back_rewrite(788840),rewrite([1020514(3),1020514(5)])]. 1022268 a(L(x,y \ z,u),w,v5) = a(L(x,z * y,u),w,v5). [back_rewrite(787296),rewrite([1020514(3),1020514(6)])]. 1022285 x * a(L(y,x * z,z),u,w) = z * ((z \ x) * a(y,u,w)). [back_rewrite(787128),rewrite([1020514(3)])]. 1022542 (x * a(y,z,u)) \ ((1 / (x * a(y,z,u))) \ a(y,z,u)) = a(L(y,x,x * a(y,z,u)),z,u). [back_rewrite(762235),rewrite([1020514(13)])]. 1022551 x \ ((1 / x) \ (a(y,z,u) \ 1)) = a(L(y,x,x),z,u) \ 1. [back_rewrite(761012),rewrite([1020514(9)])]. 1022554 x / L(a(y,z,u) * K(w,v5),v6,v7) = x * (a(L(y,v6,v7),z,u) \ K(v5,w)). [back_rewrite(760777),rewrite([1020514(7)])]. 1022634 a(x,a(L(y,z,u),w,v5) * v6,v7) = a(x,v6 * a(y,w,v5),v7). [back_rewrite(738169),rewrite([1020514(2),1021539(6),842453(5)])]. 1022635 L(x,y * a(L(z,u,w),v5,v6),v7) = L(x,y * a(z,v5,v6),v7). [back_rewrite(737831),rewrite([1020514(2),1021539(6),475655(5)])]. 1022669 a(x,L(x,y,z),u) \ R(x,x,u) = x * a(z,y,a(x,x,u)). [back_rewrite(724190),rewrite([1020514(2),150511(2)])]. 1022672 ((x * y) * a(z,u,w)) / (y * a(L(z,v5,v6),u,w)) = L(a(v6,v5,a(z,u,w)) * x,y,a(z,u,w)). [back_rewrite(720603),rewrite([1020514(5)])]. 1022747 x * a(L(y,z,u * w),v5,v6) = x * a(L(y,z,w * u),v5,v6). [back_rewrite(701609),rewrite([1020514(3),1020514(7)])]. 1022899 K(x,y) * a(L(z,u,w),v5,v6) = L(a(z,v5,v6) * K(x,y),u,w). [back_rewrite(664487),rewrite([1020514(5),431555(9)])]. 1023101 (x \ a(L(y,z,u),w,v5)) \ ((x \ a(y,w,v5)) * v6) = a(u,z,a(y,w,v5)) * v6. [back_rewrite(658827),rewrite([1020514(2)])]. 1023158 a(L(L(x,y,z),y,z),u,w) * (v5 * a(z,y,a(x,u,w))) = v5 * a(L(x,y,z),u,w). [back_rewrite(652376),rewrite([1020514(2),1020514(3),1020514(9)])]. 1023227 (x \ (a(y,z,u) \ w)) * a(v5,v6,a(y,z,u)) = x \ (a(L(y,v6,v5),z,u) \ w). [back_rewrite(645994),rewrite([1020514(8)])]. 1023252 a(x,y * a(L(z,u,w),v5,v6),v7) = a(x,y * a(z,v5,v6),v7). [back_rewrite(643908),rewrite([1020514(2),1020514(3),1022634(5)])]. 1023448 a(x,y,a(z,u,w)) * (a(L(z,v5,v6),u,w) * v7) = L(a(L(z,v5,v6),u,w) \ 1,y,x) \ v7. [back_rewrite(627724),rewrite([1020514(4),1020514(8)])]. 1023473 a(L(x,y,z),u,z) = a(x,u,z). [back_rewrite(626372),rewrite([1020514(2)])]. 1023526 a(L(x,y,z),u,w) * (v5 * a(v6,v7,a(x,u,w))) = L(a(L(x,y,z),u,w) \ 1,v7,v6) \ v5. [back_rewrite(625372),rewrite([1020514(2),1020514(8)])]. 1023569 a(a(x,x,y),z,u) = a(y,x,a(x,z,u)). [back_rewrite(612575),rewrite([1020514(6),150511(6),1006554(7),1007129(7),394194(5),395104(3),855098(3)]),flip(a)]. 1023864 a(L(x,y,y),z,u) \ y = (1 / y) \ (a(x,z,u) \ 1). [back_rewrite(487613),rewrite([1020514(2)])]. 1023889 a(x,y,a(L(z,u,w),v5,v6) * v7) = a(x,y,v7 * a(z,v5,v6)). [back_rewrite(466281),rewrite([1020514(2),1021539(6),476937(5)])]. 1023901 a(L(x,y,z),u,w) * a(L(x,v5,v6),u,w) = a(x,u,w) * a(L(L(x,y,z),v5,v6),u,w). [back_rewrite(458505),rewrite([1020514(2),1020514(4),1020514(8),1020514(9)])]. 1023929 L(L(a(x,y,z) \ 1,u,w) \ 1,v5,v6) \ v7 = v7 * L(a(L(x,v5,v6),y,z) \ 1,u,w). [back_rewrite(456242),rewrite([1020514(10)])]. 1023952 a(x,y,z) \ a(L(L(x,u,w),v5,v6),y,z) = a(a(x,y,z),u,w) * a(a(x,y,z),v5,v6). [back_rewrite(454908),rewrite([1020514(3),1020514(4)])]. 1023954 a(L(x,y,z),u,w) \ L(a(x,u,w) \ 1,v5,v6) = a(x,u,w) \ L(a(L(x,y,z),u,w) \ 1,v5,v6). [back_rewrite(454880),rewrite([1020514(2),1020514(10)])]. 1024044 L(x,a(L(y,z,u),w,v5) * v6,v7) = L(x,a(y,w,v5) * v6,v7). [back_rewrite(452762),rewrite([1020514(2),441836(4)])]. 1024068 (a(x,y,z) / u) \ a(L(x,w,v5),y,z) = a(a(x,y,z),w,v5) * u. [back_rewrite(452690),rewrite([1020514(4)])]. 1024079 a(x * (y * a(L(z,u,w),v5,v6)),v7,v8) = a(y * (x * a(z,v5,v6)),v7,v8). [back_rewrite(452565),rewrite([1020514(2),398387(5)])]. 1024085 a(x * (a(L(y,z,u),w,v5) * v6),v7,v8) = a(v6 * (x * a(y,w,v5)),v7,v8). [back_rewrite(452531),rewrite([1020514(2)])]. 1024096 (x * a(L(y,z,u),w,v5)) / (v6 \ (x * a(y,w,v5))) = a(a(y,w,v5),z,u) * v6. [back_rewrite(452480),rewrite([1020514(2)])]. 1024123 a(x * (y * (z * a(L(u,w,v5),v6,v7))),v8,v9) = a(x * (z * (y * a(u,v6,v7))),v8,v9). [back_rewrite(452402),rewrite([1020514(2),971950(6)])]. 1024190 (x \ a(L(y,z,u),w,v5)) / (x \ a(y,w,v5)) = a(a(y,w,v5),z,u). [back_rewrite(452136),rewrite([1020514(2)])]. 1024267 a(x,L(x,y,z),L(u,y,z)) = a(x,x,u). [back_rewrite(426643),rewrite([1020514(3),150511(3)])]. 1024284 a(L(x,y * a(x,z,u),w),z,u) = L(a(x,z,u) \ 1,y,w) \ 1. [back_rewrite(421350),rewrite([1020514(4)])]. 1024309 (a(L(x,y,z),u,w) \ v5) * (a(x,u,w) * a(v6,v7,v8)) = a(v6,v7,v8) * (v5 * a(z,y,a(x,u,w))). [back_rewrite(420026),rewrite([1020514(2)])]. 1024326 a(L(x,y,a(z,u,w) * a(v5,v6,v7)),v8,v9) = a(x,v8,v9). [back_rewrite(400310),rewrite([1020514(5)])]. 1024333 a(x,y,z) * (a(L(x,u,w),y,z) \ v5) = v5 * a(w,u,a(x,y,z)). [back_rewrite(399873),rewrite([1020514(3)])]. 1024338 a(a(x,y,z),u,w) * (v5 * a(x,y,z)) = v5 * a(L(x,u,w),y,z). [back_rewrite(398604),rewrite([1020514(7)])]. 1024345 a(L(x,y,z),u,w) * (a(x,u,w) \ v5) = v5 * a(a(x,u,w),y,z). [back_rewrite(397393),rewrite([1020514(2)])]. 1024362 a(x,y,z) \ a(u,w,a(x,y,z)) = a(L(x,w,u),y,z) \ 1. [back_rewrite(388653),rewrite([1020514(6)])]. 1024385 L(a(L(x,y,z),u,w) \ 1,y,z) = a(x,u,w) \ 1. [back_rewrite(384980),rewrite([1020514(2)])]. 1024393 a(L(x,y,z),u,w) * (y * z) = (a(x,u,w) * y) * z. [back_rewrite(384388),rewrite([1020514(2)])]. 1024401 a(a(x,y,z),u,w) * a(x,y,z) = a(L(x,u,w),y,z). [back_rewrite(383870),rewrite([1020514(6)])]. 1024415 a(x,y,z) * a(a(x,y,z),u,w) = a(L(x,u,w),y,z). [back_rewrite(383788),rewrite([1020514(6)])]. 1024422 a(x,y,z) * (a(a(x,y,z),u,w) * v5) = a(L(x,u,w),y,z) * v5. [back_rewrite(383765),rewrite([1020514(7)])]. 1024429 a(x,y,z) * (u * a(a(x,y,z),w,v5)) = u * a(L(x,w,v5),y,z). [back_rewrite(383745),rewrite([1020514(7)])]. 1024430 R(a(x,y,z),u,w) = a(L(x,u,w),y,z). [back_rewrite(382507),rewrite([1020514(4)])]. 1024666 a(L(x,y,z),u,w) * (z * (y \ K(v5,v6))) = z * ((y \ K(v5,v6)) * a(x,u,w)). [back_rewrite(28142),rewrite([1020514(2)])]. 1024667 a(L(x,y,z),u,w) * (z * (y \ 1)) = z * ((y \ 1) * a(x,u,w)). [back_rewrite(28116),rewrite([1020514(2)])]. 1024688 (x * (a(y,z,u) * w)) / (x * w) = a(L(y,w,x),z,u). [back_rewrite(15366),rewrite([1020514(7)])]. 1024705 a(L(x,y,z),u,w) * (z * y) = z * (y * a(x,u,w)). [back_rewrite(15015),rewrite([1020514(2)])]. 1025161 a(a(x,y,y),z,u) = a(x,y,a(y,z,u)). [back_rewrite(975408),rewrite([1023569(4),1021589(4),784550(3)]),flip(a)]. 1025187 x * (a(L(L(y,z,u),w,v5),v6,v6) \ a(y,v6,a(v6,z,u))) = a(L(y,w,v5),v6,v6) \ x. [back_rewrite(857978),rewrite([1025161(5)])]. 1025586 a(L(x \ (a(y,z,x) \ u),x * u,x * u),w,v5) = a((x \ u) * a(y,z,x),w,v5). [back_rewrite(760077),rewrite([1022066(7),682384(6),1022066(7)])]. 1025748 a(x * (L(x,y,z) \ u),w,v5) = a(u * a(z,y,x),w,v5). [back_rewrite(966733),rewrite([1022100(7),150510(5),1022100(6),758906(5),1018592(4)]),flip(a)]. 1025783 a(L(x * R(y,z,u),y,y),w,v5) = a(R(y,z,u) \ x,w,v5). [back_rewrite(797725),rewrite([1022100(6),150510(4),1022100(5)])]. 1026276 a(x,y,z) * ((x * y) * z) = (R(x,y,z) * y) * z. [back_rewrite(797695),rewrite([1023473(2)])]. 1026427 ((x * y) \ x) \ ((y \ 1) * L(a(x,y,y) \ 1,z,u)) = a(x,y,a(y,z,u)). [back_rewrite(811240),rewrite([1023569(12)])]. 1026439 a(x,y,y) \ a(x,y,a(y,z,u)) = L(y \ L(y,y,x),z,u). [back_rewrite(809787),rewrite([1023569(3)])]. 1026538 R(x,x,y) * L(a(x,x,y) \ 1,z,u) = x * a(y,x,a(x,z,u)). [back_rewrite(748683),rewrite([1023569(8)])]. 1026971 (a(x,y,z) * u) * (w * a(u,a(x,y,z),w)) = (L(u,a(x,y,z),w) * a(x,y,z)) * w. [back_rewrite(494751),rewrite([1026276(6),385866(2)]),flip(a)]. 1027144 a(L(x * a(y,z,u),u,u),w,v5) = a(u * (L(u,z,y) * x),w,v5). [hyper(295,a,24885,a(flip),b,1016299,a),rewrite([158808(3),994738(8),12534(9),672264(9),626704(8),626373(7),26392(9)]),flip(a)]. 1027181 a(a(x,y,z) * a(u,w,z),v5,v6) = a(z * L(L(z,w,u),y,x),v5,v6). [para(349543(a,1),1016299(a,1,1)),rewrite([158113(5),987071(4),1018805(9)]),flip(a)]. 1027372 a(L(x,y,z),u,w) * a(v5,v6,a(v7,v8,v9)) = L(a(v5,v6,a(v7,v8,v9)) * a(x,u,w),y,z). [para(15031(a,2),1017541(a,1,2)),rewrite([19508(5),16924(9),1017497(6),547(2),1020514(2)])]. 1027392 (x * a(y,x,L(x,z,u))) \ 1 = L(x \ 1,L(x,z,u),y). [para(63806(a,1),1017541(a,1,2)),rewrite([72770(4),401608(2),656026(7)])]. 1027728 L(x \ (y * R(y \ x,z,u)),x \ y,w) = L(x \ (y * R(y \ x,z,u)),y * x,w). [hyper(295,a,28126,a(flip),b,1020344,a),rewrite([272488(4),272488(10)]),flip(a)]. 1027734 L(L(x \ R(x,y,z),u,w),L(x,v5,v6),v7) = L(L(x \ R(x,y,z),u,w),x,v7). [para(1020344(a,1),63(a,1,1)),rewrite([63(4),820042(3),820042(7)]),flip(a)]. 1027797 L(R(x,y,z) \ x,L(x,u,w),v5) = a(x,a(z,y,x),v5) * (R(x,y,z) \ x). [para(1020344(a,1),502166(a,2,2,1,2)),rewrite([304101(6),779198(5),50(4),86937(10),66271(8),779408(6),304101(12),779198(11),973951(8),386985(9),386956(9),1020514(9),396598(9),812086(9)])]. 1027798 a(x,a(y,z,x),u) * (R(x,z,y) \ x) = L(R(x,z,y) \ x,x,u). [para(1020344(a,2),502166(a,2,2,1,2)),rewrite([304101(6),779198(5),50(4),86937(9),66271(8),779408(6),1020344(11),304101(11),779198(10),973951(7),386985(8),386956(8),1020514(8),396598(8),812086(8)]),flip(a)]. 1027871 L(x \ (y * R(y \ x,z,u)),y * x,z * u) = a(x \ y,z,u). [back_rewrite(268750),rewrite([1027728(7)])]. 1027886 L(R(x,y,z) \ x,L(x,u,w),v5) = L(R(x,y,z) \ x,x,v5). [back_rewrite(1027797),rewrite([1027798(9)])]. 1027888 (x * y) * a(x * y,z,u) = x * (y * a(y \ x,z,u)). [back_rewrite(282260),rewrite([1027871(7)]),flip(a)]. 1027909 L(R(x,y,z) \ x,x,y * z) = a(x,y,z) \ 1. [back_rewrite(825512),rewrite([1027886(5)])]. 1027993 a(x \ y,z,y) = a(y * x,z,y). [hyper(7088,a,1027888,a,b,627468,a),rewrite([96371(4),92038(6),547(4),46633(12),626680(11),56(12),26414(7),1020514(5),1023473(5)])]. 1028148 a(L(x \ L(y,z,u),x,y),w,v5) = a(L(y,z,u) * x,w,v5). [hyper(5083,a,643472,a,b,1027888,a),rewrite([400780(10),643679(12),56(9),1020514(5),1022100(5)])]. 1028159 a(L((x \ y) \ z,y * x,z),u,w) = a(z * (x \ y),u,w). [hyper(5083,a,105236,a,b,1027888,a),rewrite([7726(4),104859(3),5754(12),12077(13),105236(12),171995(13),1027888(10),105276(11),56(10),1020514(6),1022268(6),1022899(7),26653(9),7726(7),77(6),49(5),1020514(5),7726(9),104859(8),12539(10),12592(9),13791(9)])]. 1028170 a(L(a(x,y,z) * (u \ w),u,a(x,y,z) * w),v5,v6) = a(a(x,y,z) * (w * u),v5,v6). [hyper(5083,a,397267,a(flip),b,1027888,a),rewrite([397267(5),397582(13),12491(14),966852(12),24267(16),5539(6),83407(9),26562(9),1020514(7),397267(12),12546(13),398888(11)])]. 1028173 a(L(a(x,y,z) * (u \ w),u,w * a(x,y,z)),v5,v6) = a(a(x,y,z) * (w * u),v5,v6). [hyper(5083,a,15112,a(flip),b,1027888,a),rewrite([15112(5),171995(13),12491(14),966667(12),24267(16),5539(6),26562(9),1020514(7),15112(12),12546(13),46528(11)])]. 1028261 x * (a(a(y,z,u) * x,w,a(v5,v6,v7)) * a(y,z,u)) = L(a(y,z,u) * x,w,a(v5,v6,v7)). [hyper(5081,a,15031,a(flip),b,1027888,a),rewrite([395104(4),394232(14)])]. 1028295 a(L(L(x,y,z) \ u,x,u),w,v5) = a(u * L(x,y,z),w,v5). [hyper(5083,a,1027888,a(flip),b,14160,a),rewrite([561(4),56(9),1020514(5),1022171(5),547(8)])]. 1028402 L(x,y,a(z \ u,w,v5)) = L(x,y,a(u * z,w,v5)). [para(1027888(a,1),85526(a,1,3,1)),rewrite([599539(7),85333(7),1020514(8),89903(7),12463(9)])]. 1028643 L(x,y,z * (u * a(u \ z,w,v5))) = L(x,y,z * (u * a(z * u,w,v5))). [para(1027888(a,1),85750(a,2,3)),rewrite([13063(7),363875(7)]),flip(a)]. 1029344 L(x,y,a(z * u,w,z * (u * w))) = L(x,y,a(w,w,u * z)). [back_rewrite(997694),rewrite([1028402(5)])]. 1029540 a(a(x,y,z),u,w * L(L(w,v5,v6),v7,v8)) = 1. [hyper(7049,a,398680,a(flip),b,1027181,a),rewrite([398680(7),388135(11),1027181(5),992605(5),48(7)])]. 1029550 a(L(x,y,z) * L(L(L(x,y,z),u,w),v5,v6),v7,v8) = a(x * L(L(x,v5,v6),u,w),v7,v8). [hyper(5081,a,158297,a,b,1027181,a),rewrite([158297(9),1018527(12),1018539(11),1027181(10)])]. 1029551 a(a(x,y,z \ u) * a(w,v5,z * u),v6,v7) = a((z \ u) * L(L(z \ u,v5,w),y,x),v6,v7). [hyper(5081,a,12534,a,b,1027181,a),rewrite([12534(6),1018396(12)]),flip(a)]. 1029677 a(x,y,z * (u * L(u,w,v5))) = a(x,y,a(v5,w,u) * z). [para(443055(a,1),1015799(a,1,3)),rewrite([1015799(5),462537(4),1019340(8)])]. 1029768 a(x,y,z * (L(u,w,v5) \ u)) = a(x,y,a(v5,w,u) * z). [back_rewrite(462537),rewrite([1029677(8)])]. 1029899 (x * a(y,z,u)) * (w * a(x,a(y,z,u),w)) = (L(x,a(y,z,u),w) * a(y,z,u)) * w. [hyper(5083,a,1026971,a,b,38448,a),rewrite([12075(5),385927(6),380545(4),13929(13),7734(11),5754(13),1039(3),657605(13),38566(10),15213(9),5784(10),12075(11)])]. 1029934 ((L(x,a(y,z,u),w) * a(y,z,u)) * w) / T(a(y,z,u) * x,w) = a(x,a(y,z,u),w) * w. [hyper(5142,a,1026971,a(flip),b,384961,a)]. 1030016 x \ T((y * a(z,u,w)) * x,y) = a(z,u,w) * R(y,x,y). [para(1026971(a,1),96988(a,1,2,1)),rewrite([385631(11),388507(10),716168(10),682570(7),398879(5),385890(13),475350(10)])]. 1030053 R(T(a(x,y,z) * u,u * w),w * a(u,a(x,y,z),w),a(x,y,z) * u) = T(a(x,y,z) * u,w). [para(1026971(a,1),6493(a,1,1,2)),rewrite([381302(8),398879(7),381302(6),386889(6),385118(16)])]. 1030115 R(x * a(y,z,u),w,x * a(y,z,u)) = a(y,z,u) * R(x,w,x). [back_rewrite(395925),rewrite([1030016(10)])]. 1030136 T(x * (a(y,z,u) * K(x * w,x)),w) = a(y,z,u) * R(x,w,x). [back_rewrite(408931),rewrite([1030115(11)])]. 1030225 a(x,a(y,z,x),z * y) = a(x,a(y,z,x),z). [para(256868(a,1),1016215(a,1,1,2)),rewrite([812086(4),974899(4),174146(6),825007(6),1020514(5),1000471(2),1014598(7),1018852(6),386756(7),626803(6),48(7)])]. 1030260 L(L(x,y,z) \ x,x,y) = a(z,y,x). [para(1016215(a,1),502166(a,2,2,1,2)),rewrite([304101(6),974415(5),58(4),547(3),86937(9),66271(8),980961(6),975276(6),975147(11),397148(11),1018818(9),1020514(8),395103(8),975147(8),162960(8),975267(8),1016215(6),6743(8)])]. 1030274 L(L(L(x,y,z) \ x,u,w),x,y) = a(L(z,u,w),y,x). [para(1016215(a,1),307866(a,1,2,1,2)),rewrite([975147(4),49(4),975147(9),397148(9),1018818(7),1020514(6),395103(6),17022(6),975260(5),1016215(3),6743(5),1020514(2),975147(6),49(6)]),flip(a)]. 1030361 x * (R(x,y,z) \ a(x,y,z)) = a(x,a(z,y,x),y). [back_rewrite(974905),rewrite([1030225(7)])]. 1030364 a(x,y,z) * (R(x,y,z) \ x) = a(x,a(z,y,x),y). [back_rewrite(974899),rewrite([1030225(7)])]. 1030449 L(L(x \ L(x,y,z),u,w) \ 1,x,y) = a(z,y,L(x,u,w)). [hyper(5081,a,990045,a,b,1030260,a),rewrite([990045(2),306590(6),989996(9)]),flip(a)]. 1030450 L(L(x,R(y,z,u),w) \ x,x,y) = a(w,R(y,z,u),x). [hyper(5081,a,14826,a,b,1030260,a),rewrite([14826(3),209136(7),1014397(7)]),flip(a)]. 1030486 (x * y) * a(L(z,y,x),u,w) = x * (y * a(z,u,w)). [para(1030260(a,1),24271(a,2,2,2)),rewrite([1030274(5)])]. 1030488 (x * y) * a(L(z,x,y),u,w) = (x * a(z,u,w)) * y. [para(1030260(a,1),24422(a,2,2,2)),rewrite([1030274(5),385017(7),410(8)])]. 1030508 a(L(R(x,y,z),u,w),v5,v6) = a(L(L(x,y,z),u,w),v5,v6). [para(209955(a,1),1030260(a,1,1,1)),rewrite([1030260(5)]),flip(a)]. 1030545 a(x * (y \ a(z,u,w)),v5,v6) = a(x * (y * a(z,u,w)),v5,v6). [para(1012742(a,1),1030260(a,1,1,1)),rewrite([1030260(6)]),flip(a)]. 1030673 a(L(L((x * x) * y,z,u),w,v5),v6,v7) = a(L(L(y,z,u),w,v5),v6,v7). [back_rewrite(511444),rewrite([1030508(5),972090(5),1030508(8)])]. 1030688 a(x * (y \ (L(z,u,w) \ z)),v5,v6) = a(x * (y * a(w,u,z)),v5,v6). [back_rewrite(1015334),rewrite([1030545(6),1019415(6)]),flip(a)]. 1030700 a(x \ (y \ a(z,u,w)),v5,v6) = a(a(z,u,w) * (x \ y),v5,v6). [back_rewrite(704723),rewrite([1030545(7),451424(7),966855(4)]),flip(a)]. 1030817 a((x \ y) * a(z,u,x),w,v5) = a(L(x,u,z) \ y,w,v5). [para(354134(a,1),1025748(a,1,1,2)),rewrite([51(4)]),flip(a)]. 1030883 a(L(x \ (a(y,z,x) \ u),x * u,x * u),w,v5) = a(L(x,z,y) \ u,w,v5). [back_rewrite(1025586),rewrite([1030817(11)])]. 1030971 a(L(x,a(y,z,u) * w,w),v5,v6) = a(L(x,w,w),v5,v6). [hyper(295,a,46456,a(flip),b,1030545,a),rewrite([612199(5),682368(5),612199(5),968117(6),970431(11),46456(7)])]. 1031041 a(L((a(x,y,z) * u) * w,u,u),v5,v6) = a((a(x,y,z) * u) \ w,v5,v6). [back_rewrite(995138),rewrite([1030971(7)])]. 1031045 a(L(x,a(y,z,u) * w,a(y,z,u) * w),v5,v6) = a(L(x,w,w),v5,v6). [back_rewrite(968117),rewrite([1030971(10)])]. 1033168 x \ ((1 / x) \ a(y,z,u)) = a(L(y,x,x),z,u). [para(761520(a,1),423145(a,1,1)),rewrite([6706(4),85130(4),1020514(2),85130(8),1020514(6),1020514(7),452544(7),389275(6),444081(8)]),flip(a)]. 1033263 a(L(x,y,y * a(x,z,u)),z,u) = y * ((a(x,z,u) \ y) \ 1). [back_rewrite(1022542),rewrite([1033168(9),1024284(6),601465(8)]),flip(a)]. 1033280 L(a(x,y,z) \ 1,u,u) \ w = a(L(x,u,u),y,z) * w. [back_rewrite(682399),rewrite([1033168(5)]),flip(a)]. 1033308 x \ (((a(y,z,u) \ x) \ 1) \ x) = (a(y,z,u) / x) \ 1. [back_rewrite(1021780),rewrite([1033263(4),495354(6),212134(5)])]. 1033349 (x \ 1) \ ((1 / x) \ a(y,z,u)) = x * (a(y,z,u) * x). [back_rewrite(735363),rewrite([1033280(6),1024393(4),14531(3)]),flip(a)]. 1033369 (1 / (a(x,y,z) \ u)) \ a(x,y,z) = a(x,y,z) * ((a(x,y,z) / u) \ 1). [back_rewrite(444206),rewrite([1033308(6),831991(6)]),flip(a)]. 1033390 x * a(L(y,x,x),z,u) = (1 / x) \ a(y,z,u). [back_rewrite(685079),rewrite([1033349(7),504563(6),398772(4),61613(5),1020514(2)])]. 1033407 a(a(x,y,z) * u,u,a(x,y,z)) = a(a(x,y,z),u,a(x,y,z) * u). [back_rewrite(833361),rewrite([1033369(6),768519(7),605035(5)]),flip(a)]. 1033471 a(x,y,z) \ (u * ((a(x,y,z) \ u) \ 1)) = a(a(x,y,z),u,a(x,y,z) * u). [back_rewrite(813339),rewrite([1033407(11)])]. 1034043 a(x,x,y) \ x = (y / (x * y)) \ 1. [para(763202(a,1),413503(a,2,1)),rewrite([413503(4),824921(4)])]. 1036580 a(x,y,z) \ ((u / ((w \ (v5 \ ((v5 * a(x,y,z)) * w))) * u)) \ 1) = a(v5,a(x,y,z),w). [para(763274(a,2),634034(a,1,2)),rewrite([611185(19),50(16),396643(15),451678(15),451681(15),756221(15),7751(11),75356(13),1020514(10),397055(12)])]. 1037006 a(x,x,R(x,y,z) * (x \ u)) = a(x,x,x * (u * R(x,y,z))). [para(62761(a,1),763333(a,1,1,2)),rewrite([269239(6),151517(6),724474(6),287508(3),297741(4)]),flip(a)]. 1037716 a(L(x,y,z),u,L(u,y,z)) = a(x,u,u). [para(809790(a,1),975276(a,1,1,1,1,2)),rewrite([1014465(5),49(4),1020514(3),809790(5),809523(5)])]. 1038119 a(x \ y,z,x) = a(x * y,z,x). [hyper(295,a,759571,a,b,1023473,a),rewrite([1027993(3),759195(3),1027993(4)])]. 1038160 a(L(x,x,y),z,x \ y) = a(x,z,x \ y). [para(438015(a,1),1023473(a,1,1)),rewrite([70580(5),12554(7),46610(7)])]. 1038182 L(x,y,L(z,u,x)) = L(x,y,z). [para(1023473(a,1),1017517(a,1,1,2)),rewrite([1017517(4)]),flip(a)]. 1038564 L(x,y,x \ z) = L(x,y,x * z). [hyper(295,a,758652,a(flip),b,1038182,a)]. 1038595 L(L(x,y,z),u,L(w,v5,x)) = L(L(x,u,w),y,z). [para(1038182(a,1),64(a,1,1)),flip(a)]. 1039936 (x \ 1) * a(L(y,x,x),z,u) = x \ a(y,z,u). [hyper(271,a,513074,a(flip),b,2431,a),rewrite([409(5),233924(10),403185(8),1033168(9)]),flip(a)]. 1046998 (x \ (y * T(z,u))) / T(z,u) = (x \ (y * z)) / z. [hyper(5142,a,97409,a(flip),b,8700,a)]. 1047057 (x / R(y,z,u)) * R(T(y,w),z,u) = x * K(y,w). [hyper(295,a,297511,a,b,8700,a),rewrite([777620(6),361883(3),51(4)])]. 1047067 x / L(y,y,y * x) = x * (y \ 1). [hyper(5142,a,8700,a(flip),b,488279,a),rewrite([26402(6),26536(6),178495(6),26653(5),52958(3),235(3),1038564(2),203025(7),204513(6),214198(5)])]. 1051154 a(L(x * ((y \ x) \ x),y,y),z,u) = a(y \ x,z,u). [para(11691(a,2),759166(a,2,1)),rewrite([26404(8),28033(6),12463(8)])]. 1053892 a(x,y,a(z,u,L(w,v5,v6)) * w) = a(x,y,L(w,u,z)). [para(991790(a,1),14982(a,1,3,1)),rewrite([388135(4),17060(4),72926(5),1019727(7)]),flip(a)]. 1055711 T(x * (R(y,z,u) \ y),w) / T(x,w) = R(y,z,u) \ y. [hyper(5142,a,16617,a,b,635075,a),rewrite([447882(11),51(9),9760(9),648274(10),825169(4),124421(9),11438(9),231319(8),9510(10),7726(10),77(9),49(8)])]. 1057303 T(x * K(x \ y,x),z) \ y = y / T(x,z). [hyper(295,a,242683,a,b,16617,a),rewrite([1039(4),50989(4),446977(6),42863(7),952722(6)])]. 1058695 a(L(x \ (R(y,z,u) \ w),x,y),v5,v6) = a((x * R(y,z,u)) \ w,v5,v6). [para(1047057(a,1),796762(a,2,1,2)),rewrite([209136(6),26400(6),1022100(6),356387(5),41109(11),253539(11),12463(11)])]. 1058788 a((x * y) \ (y * R(y,z,u)),w,v5) = a(x * R(y,z,u),w,v5). [back_rewrite(968887),rewrite([1058695(6),46613(5)]),flip(a)]. 1059237 x \ (L(a(y,z,u) \ 1,w,v5) * (a(y,z,u) \ x)) = a(y,z,u) \ L(a(y,z,u) \ 1,w,v5). [hyper(5083,a,1006451,a,b,398206,a(flip)),rewrite([400742(6),398601(5),399120(7),398601(13)])]. 1059266 (R(x,y,z) \ x) * a(L(x,y,z),u,w) = x * (R(x,y,z) \ a(L(x,y,z),u,w)). [hyper(295,a,776371,a(flip),b,1006451,a),rewrite([796320(3),796320(9)]),flip(a)]. 1059281 a(x,y,z) \ (x \ u) = x \ (a(x,y,z) \ u). [hyper(7088,a,145188,a,b,1006451,a(flip)),rewrite([561(5),70(9),49(7)]),flip(a)]. 1059434 (x \ (a(L(x,y,z),u,w) \ v5)) * a(x,u,w) = (x \ v5) * a(z,y,a(x,u,w)). [para(118328(a,1),1006451(a,1,2)),rewrite([1020514(3),1024333(5),16922(4),1020514(6),6706(7)]),flip(a)]. 1060128 L(L(x,y,z) \ x,u,w) \ (w * u) = (x \ L(x,y,z)) * (L(w,u,a(z,y,x)) * u). [hyper(5081,a,102113,a,b,1026276,a),rewrite([982324(5),975353(9),986891(13)]),flip(a)]. 1060139 a(x,y,L(z,u,w)) * ((x * y) * R(z,u,w)) = (R(x,y,R(z,u,w)) * y) * R(z,u,w). [hyper(5081,a,7984,a,b,1026276,a),rewrite([7984(6),990045(7)]),flip(a)]. 1060157 L(L(x,y,z) \ x,u,w) \ (w * u) = (L(w,u,a(z,y,x)) * u) * (x \ L(x,y,z)). [hyper(295,a,458398,a(flip),b,1026276,a),rewrite([975353(4),975258(6),986742(7),982324(8)])]. 1060173 x * (y * a(x,y,L(z,u,w))) = R(x,y,L(z,u,w)) * y. [hyper(5142,a,1026276,a(flip),b,639756,a),rewrite([52(7),1002286(7)]),flip(a)]. 1060175 (x * y) \ ((L(x,y,a(z,u,w)) * y) * (w \ L(w,u,z))) = L(L(w,u,z) \ w,y,x) \ 1. [hyper(5083,a,1026276,a(flip),b,458398,a(flip)),rewrite([982324(4),975353(11),975258(13)])]. 1060289 a((R(x,y,z) * y) * z,u,w) = a(x * (y * z),u,w). [para(1026276(a,1),46633(a,2,1)),rewrite([397122(6),629632(4),1002238(3),1002521(4)]),flip(a)]. 1060295 a(x * (R(y,z,x) * z),u,w) = a(y * (z * x),u,w). [para(1026276(a,1),46695(a,1,1)),rewrite([204513(2),18162(5),13927(6),1026276(8),1060289(8)])]. 1060435 R(x,y,z) * (R(u,w,R(x,y,z)) * w) = R(x,y,z) * (R(u,w,L(x,y,z)) * w). [para(6623(a,1),1026276(a,1,2)),rewrite([990045(4),14986(4),996532(6),1002286(5),1060173(5),204271(9),792469(12)]),flip(a)]. 1060568 a(R(x,y,z) * (R(u,w,L(x,y,z)) * w),v5,v6) = a(u * (w * R(x,y,z)),v5,v6). [para(1026276(a,2),337703(a,1,1)),rewrite([990045(5),308799(5),1004723(10),1060139(6),1060289(6),829265(10),1060435(9)]),flip(a)]. 1061652 a(a(x,y,z),u,w) * (a(x,y,L(z,v5,v6)) \ v7) = v7 * L(a(x,y,L(z,v5,v6)) \ 1,u,w). [para(974427(a,1),1005362(a,1,1,1)),rewrite([397148(8),112586(6),397148(11),974427(12),400742(12),985411(11)])]. 1061752 a(x,y,a(z,u,w)) * a(L(v5,v6,v7),v8,v9) = L(a(x,y,a(z,u,w)) * a(v5,v8,v9),v6,v7). [hyper(5081,a,15031,a,b,1002184,a),rewrite([1024422(7),1027372(5),1002184(12),1024338(12)]),flip(a)]. 1061919 a((x * y) * (R(z,y,x) * a(z,u,w)),v5,v6) = a((z * y) * (x * a(z,u,w)),v5,v6). [para(1002184(a,2),102431(a,1,1)),rewrite([796320(3),1030488(4),971657(6),796320(8),1021380(12),13808(11)])]. 1062297 L(x \ 1,y,a(z,u,w)) * a(x,v5,v6) = a(x,v5,v6) * (x \ a(x,y,a(z,u,w))). [hyper(5081,a,783763,a(flip),b,1003309,a),rewrite([395104(13),48(11),338014(12)])]. 1062449 (x \ 1) * (a(x,y,z) * (((x \ 1) \ 1) * u)) = a(x,y,z) * L(u,x,x). [para(61613(a,1),1003309(a,1,2)),rewrite([26414(6),28083(4)]),flip(a)]. 1062497 a((x * y) * (z * a(x,u,w)),v5,v6) = a(z * (x * (a(x,u,w) * y)),v5,v6). [para(1003309(a,2),24885(a,2,1,2)),rewrite([28083(5),46976(8),24258(5),13786(6),1003309(10),46976(12),971669(10)]),flip(a)]. 1062502 a(x,y,z) * L(u,x,x) = L(a(x,y,z) * u,x,x). [para(1003309(a,2),134854(a,1,2)),rewrite([46610(5),1062449(10),46610(8),61613(9)])]. 1064016 a(x,L(y \ R(y,z,u),w,v5),v6) = a(x,L(y * R(y,z,u),w,v5),v6). [para(1027734(a,2),75366(a,2,2)),rewrite([621380(5),370724(3),323(1),48(2),150510(9),699702(9)]),flip(a)]. 1064018 L(x,L(y \ R(y,z,u),w,v5),v6) = L(x,L(y * R(y,z,u),w,v5),v6). [para(1027734(a,2),25754(a,2,2)),rewrite([25976(5),51(3),150510(9),699702(9)]),flip(a)]. 1064025 a(x,y,L(z \ R(z,u,w),v5,v6)) = a(x,y,L(z * R(z,u,w),v5,v6)). [para(1027734(a,2),75452(a,2,3)),rewrite([621380(5),370724(3),323(1),48(2),150510(9),699702(9)]),flip(a)]. 1064053 a(x,L(y,z,u),L(y * R(y,w,v5),v6,v7)) = a(x,y,a(v5,w,y)). [para(1027734(a,1),1009056(a,2,1)),rewrite([1064018(9),699702(9),1064025(5),306590(13),304101(11),779198(10),973951(7),386985(8),386956(8),1020514(8),396598(8),386929(9),628106(8),48(9)])]. 1064055 L(a(x,y,a(z,u,y)) * (y \ R(y,u,z)),w,v5) = L(L(y \ R(y,u,z),w,v5),y,x). [para(1027734(a,1),1017517(a,2)),rewrite([1064025(6),1064053(6),17022(4),971771(3),162924(9),396680(9),396754(6),628106(5),17022(6)])]. 1064067 R(x,L(R(y,z,u),w,v5) \ L(y,w,v5),v6) = L(x,L(y * R(y,z,u),w,v5),v6). [back_rewrite(829128),rewrite([1064018(9)])]. 1064072 L(x,L(R(y,z,u) \ y,w,v5),v6) = L(x,L(y * R(y,z,u),w,v5),v6). [back_rewrite(358276),rewrite([1064018(8)])]. 1064417 L(x,L(L(y,z,u) \ y,w,v5) * y,v6) = L(x,L(y,z,u),v6). [para(988208(a,1),991010(a,2,2,1)),rewrite([991790(12),81685(9),113591(10),991790(9),25958(7),56981(8),21156(10),987831(7)]),flip(a)]. 1064787 L(x * K(y,z),u,x \ w) = L(x * K(y,z),u,x * w). [hyper(5081,a,26653,a,b,1038564,a),rewrite([7725(3),83105(4),26653(4),12023(9),12075(10)]),flip(a)]. 1064809 L(x \ L(x,y,z),x,a(z,y,x) * u) = L(L(x,y,z) \ x,x,u) \ 1. [hyper(295,a,306527,a(flip),b,1038564,a),rewrite([975147(3),975147(6),159330(9),989864(8),984464(9),978262(7),997063(6),394194(4),70511(5),975259(5),984069(11)]),flip(a)]. 1064917 L(x,y,L(x,z,u) \ w) = L(x,y,L(x,z,u) * w). [para(158354(a,1),1038564(a,2,3)),rewrite([160641(4),84993(5),994396(5),995720(4)])]. 1065131 x * L(L(y,z,u) \ y,y,x) = y * (L(y,z,u) \ x). [back_rewrite(997333),rewrite([1064809(5),986787(6)])]. 1065151 L(L(x,y,z) \ x,x,u) \ 1 = (L(x,y,z) \ u) \ (x \ u). [back_rewrite(994065),rewrite([1064809(5)])]. 1065230 R(x / L(y,z,u),y,y) \ (y * (L(y,z,u) \ x)) = L(y,y,L(y,z,u) * x). [back_rewrite(845589),rewrite([1064917(10)])]. 1065506 L(x,y,z * (a(u,w,v5) * v5)) = L(x,y,z * L(v5,w,u)). [para(627502(a,1),1004539(a,1,3,2)),rewrite([72770(5),1012742(6),626536(4),1012742(4),994988(4),72770(6)]),flip(a)]. 1065639 a(x,y,a(z,u,w) * w) = a(x,y,L(w,u,z)). [hyper(295,a,256868,a(flip),b,1065506,a),rewrite([1019388(6),256868(9)])]. 1065692 L(x,y,a(z,u,w) * (v5 * R(w,v6,v7))) = L(x,y,L(R(w,v6,v7),u,z) * v5). [para(103017(a,1),1065506(a,2,3)),rewrite([990045(3),14986(3),385067(5),410(6),20235(6),996532(5),995450(6)])]. 1065725 L(x,y,L(z,u,L(w,v5,v6))) = L(x,y,L(z,u,w)). [para(349543(a,1),1065506(a,1,3)),rewrite([1020514(4),1021453(5),626704(5),1024401(4),994528(4),1020514(6),1021453(7),86937(7),85920(8)])]. 1065784 L(x,y,a(z,L(z,u,w),v5)) = L(x,y,a(v5,z,z)). [para(749340(a,2),1065506(a,2,3)),rewrite([1065506(7),84993(6),811337(5),26414(6),985426(4),401608(2),985426(3),378054(6),6159(5),1022899(10),27477(11),1020514(7),770301(8),1020789(6)]),flip(a)]. 1065815 a(x * (a(y,z,u) * u),w,v5) = a(x * L(u,z,y),w,v5). [para(1065506(a,1),1030260(a,1,1,1)),rewrite([1030260(5)]),flip(a)]. 1065901 a(a(x,y,z) * (u \ z),w,v5) = a(u \ L(z,y,x),w,v5). [back_rewrite(994690),rewrite([1065815(6),692169(4),12554(6),68848(6),12472(4)]),flip(a)]. 1066147 L(x,y,L(z * R(z,u,w),v5,v6)) = L(x,y,a(z,u,w)). [para(648011(a,2),1028643(a,2,3,2,2,1)),rewrite([13835(8),439537(8),812085(6),46456(8),967375(7),1020791(10),820909(3),85753(8),51(6),779407(5),702169(4),648011(11),12592(12),51(11),821063(10),28826(12),83661(9),51(8),1000516(7)])]. 1066175 L(x,y,L(R(z,u,w) \ z,v5,v6)) = L(x,y,a(z,u,w)). [back_rewrite(702169),rewrite([1066147(8)])]. 1066180 L(x,y,L(z \ R(z,u,w),v5,v6)) = L(x,y,a(z,u,w)). [back_rewrite(702150),rewrite([1066147(8)])]. 1066256 L(x,y,L(z * (u / w),v5,v6) * v7) = L(x,y,L(z * (w \ u),v5,v6) * v7). [para(77732(a,1),994223(a,1,3,2,2)),rewrite([218938(8),994223(8)]),flip(a)]. 1067593 ((x \ 1) \ K(x \ y,x)) \ y = y / T(x,x \ 1). [hyper(295,a,80947,a(flip),b,1057303,a),rewrite([26403(10),26505(7),80765(4),12023(11),11959(11),123563(10)])]. 1067620 R(T(x * K(x \ y,x),z) \ 1,x,y) = (y / T(x,z)) / y. [hyper(5142,a,1057303,a(flip),b,268782,a),rewrite([204513(14),204567(13)]),flip(a)]. 1067846 x / T(y,y * (x * (y / (y * (x / y))))) = x / T(y,y \ 1). [para(413(a,1),1057303(a,1,1)),rewrite([26403(10),26505(7),80765(4),1067593(6),7725(11),9138(10),96865(9),203774(9),211883(8),938629(10)]),flip(a)]. 1069226 (x / T(y,y \ 1)) / x = T((x / y) / x,y). [para(413(a,1),1067620(a,1,1,1)),rewrite([26403(10),26505(7),80765(4),75527(7),244547(4),949256(4),7725(10),9138(9),96865(8),203774(8),211883(7),938629(9),1067846(10)]),flip(a)]. 1070828 a(a(x,L(x,y,z),u),w,v5) = a(u,x,a(x,w,v5)). [para(758127(a,1),974043(a,1,1,1,2)),rewrite([7751(3),742602(5),1020514(2),150511(2),1020514(3),1023473(3),761829(6),740788(5),1023569(5)])]. 1070851 a(L(x * (y \ z),y * z,y * z),u,w) = a((y \ z) \ x,u,w). [hyper(5081,a,759166,a,b,1007273,a),rewrite([1022066(6),682384(5),1022066(6),1007273(10)])]. 1070969 a(L(L(x \ 1,y,z) * u,L(x,y,z),L(x,y,z)) \ w,v5,v6) = a((L(x,y,z) \ u) \ w,v5,v6). [para(157346(a,1),1007273(a,1,1,1,1)),rewrite([69496(15)])]. 1070970 a((L(x \ 1,y,z) \ u) \ w,v5,v6) = a((L(x,y,z) \ u) \ w,v5,v6). [para(157346(a,2),1007273(a,1,1,1,1)),rewrite([157346(4),83591(11),70578(9),1070969(9)]),flip(a)]. 1071149 a((x * (a(y,z,u) \ w)) \ v5,v6,v7) = a((x * (w * a(y,z,u))) \ v5,v6,v7). [para(494677(a,2),1007273(a,1,1,1,1)),rewrite([400178(9),1070970(8),1020514(2),398389(6),1030486(4),398389(12),663076(10),662948(12)]),flip(a)]. 1071706 a(L(x,y,z) * (L(L(x,y,z),u,w) * v5),v6,v7) = a(x * (L(x,u,w) * v5),v6,v7). [para(14227(a,2),1020021(a,1,1,2)),rewrite([60(5),14441(6),75362(7),647813(5),1022100(6),150510(4),1022100(5),1027144(4),162035(10)]),flip(a)]. 1071722 a(a(x,y,z \ u) * ((u * z) * w),v5,v6) = a(w * L((1 / z) * u,y,x),v5,v6). [para(60426(a,1),1020021(a,1,1,2,2)),rewrite([1004503(8),69364(8),60426(8)])]. 1071739 a(x * L(L(L(y \ 1,z,u),w,v5),v6,v7),v8,v9) = a(x * L(L(L(y,z,u),w,v5),v6,v7),v8,v9). [para(158417(a,1),1020021(a,1,1,1)),rewrite([667673(9),647666(6),1019417(7)]),flip(a)]. 1071742 a(a(x,y,z) * ((z * u) * w),v5,v6) = a((u * L(z,y,x)) * w,v5,v6). [para(76184(a,1),1020021(a,1,1,2)),rewrite([1004503(7),69364(7),76185(11),46992(11),46976(11)])]. 1071749 a(x * (R(y,z,u) * a(w,v5,y)),v6,v7) = a(x * L(R(y,z,u),v5,w),v6,v7). [para(255258(a,1),1020021(a,1,1,2,2)),rewrite([990045(3),996507(3),466233(3),1018539(6),13808(5),255258(8)])]. 1071755 a(L(L(x,y,z),u,w) * a(v5,v6,x),v7,v8) = a(a(w,u,x) * L(L(x,y,z),v6,v5),v7,v8). [para(310694(a,1),1020021(a,2,1)),rewrite([306590(5),980629(8),980637(6),46639(9),70655(7),158137(7),1025748(13),1018527(11)]),flip(a)]. 1071763 a(a(x,y,z) * L(L(z,u,w),v5,v6),v7,v8) = a(L(L(L(z,u,w),v5,v6),y,x),v7,v8). [para(355479(a,1),1020021(a,1,1,2)),rewrite([46639(7),1071755(5),356434(14),1019441(13),987067(13)])]. 1071775 a(x * L(y \ R(y,z,u),w,v5),v6,v7) = a(x * (y * R(y,z,u)),v6,v7). [para(451734(a,1),1020021(a,1,1,2,2)),rewrite([1014598(3),13787(7),174144(4),451734(8)]),flip(a)]. 1071836 a(L(R(x,y,y),z,u) * (L(x,y,y) * w),v5,v6) = a(x * (L(x,z,u) * w),v5,v6). [back_rewrite(162239),rewrite([1071706(12)])]. 1071849 a(x * (y * (z * a(u,w,y))),v5,v6) = a((z * L(y,w,u)) * x,v5,v6). [back_rewrite(626888),rewrite([1071742(5)]),flip(a)]. 1071857 a(L(L(L(x,y,z),u,w),y,z),v5,v6) = a(L(x,u,w),v5,v6). [back_rewrite(1018660),rewrite([1071763(5)])]. 1072073 a(a(x,L(y \ (y / x),z,u),w),v5,v6) = a(w,x,a(x,v5,v6)). [para(57669(a,1),1070828(a,1,1,2)),rewrite([493208(7),70580(7),1021413(6),70580(12),1021589(11),784550(10),785946(9),49(7)])]. 1072141 L(x,a(y,z,x),z) = L(x,x,a(y,z,z)). [para(1070828(a,1),807266(a,1,1)),rewrite([386756(3),1025161(2),984340(3),1065784(5)])]. 1072211 a(x,y,z) \ R(x,y,z) = L(x,x,a(z,y,y)). [back_rewrite(1019553),rewrite([1072141(5)])]. 1072217 L(L(x,x,a(y,z,z)),z,y) = a(y,z,x) \ x. [back_rewrite(1016354),rewrite([1072141(2)])]. 1072327 L(L(K(x,y) * z,z,a(u,w,w)),w,u) = K(x,y) * (a(u,w,z) \ z). [hyper(5081,a,269440,a,b,1072217,a),rewrite([13929(3),13929(6),385866(5),627098(5),899057(5),397682(4),50(5),397180(4),26562(10)]),flip(a)]. 1072353 L(L(x,y,z),x,a(z,y,y)) = a(z,y,x) \ x. [hyper(295,a,1038182,a,b,1072217,a),rewrite([339647(5),1038595(4)])]. 1072368 a(x,L(x,y,z),u) \ u = L(u,x,L(x,y,z)). [hyper(295,a,150510,a,b,1072217,a),rewrite([150511(2),474689(2),5527(2),150510(2),150511(4)]),flip(a)]. 1072374 a(x,y,L(z,u,w)) \ L(z,u,w) = L(a(x,y,z) \ z,u,w). [hyper(295,a,417,a,b,1072217,a),rewrite([784027(3),1072217(3)]),flip(a)]. 1072384 L(L(L(x,y,z),x,a(u,w,w)),w,u) = L(a(u,w,x) \ x,y,z). [hyper(295,a,1072217,a,b,423138,a(flip)),rewrite([784027(4),411(11),6743(9),6706(8),1072374(8)])]. 1072389 L(L(R(x,y,z),x,a(u,w,w)),w,u) = R(a(u,w,x) \ x,y,z). [para(1072217(a,1),63(a,1,1)),rewrite([63(6)]),flip(a)]. 1072390 a(x,y,L(z,u,w)) \ R(z,u,w) = R(a(x,y,z) \ z,u,w). [para(63(a,2),1072217(a,1,1)),rewrite([1020186(3),784027(3),63(3),1072389(4),990045(5)]),flip(a)]. 1072391 L(L(L(x,x,a(y,z,z)),u,w),z,y) = L(a(y,z,x) \ x,u,w). [para(1072217(a,1),64(a,1,1)),flip(a)]. 1072474 L(x,y,L(z * a(u,w,z),v5,v6)) = L(x,y,L(L(z,w,u),v5,v6)). [para(1072217(a,1),209955(a,2,3,1)),rewrite([63(3),567693(5),209955(3),994687(7)]),flip(a)]. 1072475 R(x,y * a(z,u,y),w) = R(x,L(y,u,z),w). [para(1072217(a,1),215709(a,2,2)),rewrite([63(3),503161(4),215709(2),829329(5)]),flip(a)]. 1072476 R(x,y,z * a(u,w,z)) = R(x,y,L(z,w,u)). [para(1072217(a,1),206639(a,2,3)),rewrite([26458(4),1072327(5),840789(5),204274(5),398536(6),1019388(6)])]. 1072487 a(L(x * a(y,z,x),u,w),v5,v6) = a(L(L(x,u,w),z,y),v5,v6). [para(1072217(a,2),281373(a,1,1)),rewrite([784411(8),25450(7),453173(7),1030508(5),1030673(5),990045(7),25986(7),1072390(7),796320(7),797515(7)]),flip(a)]. 1072489 x * (a(y,z,x) \ L(x \ a(y,z,x),u,w)) = L(x \ L(x,u,w),z,y). [para(1072217(a,1),305594(a,1,1)),rewrite([1072391(6),304101(6),626730(6),305327(12),395248(10)])]. 1072522 a(x,y,L(y,z,u)) \ y = L(y,L(y,z,u),x). [para(401608(a,1),1072217(a,2,1)),rewrite([985426(4),401608(2),985426(3),626561(2)]),flip(a)]. 1072609 a(L(x,y,z),R(x,y,z),u) \ u = L(u,R(x,y,z),L(x,y,z)). [para(474687(a,1),1072217(a,1,1,3)),rewrite([990045(3),796320(3),150511(3),591909(3),474689(2),5527(2),209136(3),796320(6)]),flip(a)]. 1072658 a(x,y,y) \ L(y,x,z) = L(a(z,x,y) \ y,y,x). [para(1009056(a,1),1072217(a,2,1)),rewrite([784027(4),1072384(4),975095(7),350965(7),809849(7)]),flip(a)]. 1072661 a(x,y,z) \ L(z,y,x) = L(a(x,y,z) \ z,y,x). [para(1015799(a,1),1072217(a,2,1)),rewrite([784027(4),1072353(3)]),flip(a)]. 1072696 R(T(a(x,y,z) * u,u * w),w,a(x,y,z) * u) = T(a(x,y,z) * u,w). [back_rewrite(1030053),rewrite([1072475(10),733802(9)])]. 1072736 a(x,y,z) \ (u * (z \ a(x,y,z))) = R(u / z,z,L(z,y,x)). [back_rewrite(800347),rewrite([1072476(4)]),flip(a)]. 1072765 a(x,y,z) * (z \ L(a(x,y,z) \ z,u,w)) = L(z \ L(z,u,w),y,x). [back_rewrite(646740),rewrite([1072489(12)])]. 1072880 x * (y \ a(y,a(z,u,y),x)) = R(x / y,y,L(y,u,z)). [back_rewrite(643261),rewrite([1072736(5)]),flip(a)]. 1072907 a(x,y,z) \ (u * (x \ a(x,y,z))) = R(u / x,x,L(x,y,z)). [back_rewrite(974927),rewrite([1072880(9)])]. 1073208 T(a(x,y,z) * R(u,w,u),u * w) = T(a(x,y,z) * u,w). [hyper(295,a,777588,a,b,1072696,a),rewrite([1072696(16),132476(14),384019(9),381153(10),231319(11),231319(8),52(6),260165(6),7726(4),149(3),385056(3),52958(8),108729(6),6775(4),7726(5),1030136(6)])]. 1073773 a(x * ((a(y,z,u) * R(w,v5,w)) \ v6),v7,v8) = a(x * ((a(y,z,u) * w) \ v6),v7,v8). [para(1073208(a,1),13791(a,1,1,2,1)),rewrite([13791(6)]),flip(a)]. 1074415 a(a(x,y,z),u,a(w,v5,v6) * (v7 \ v6)) = a(a(x,y,z),u,v6 * L(v7,v5,w)). [hyper(5081,a,398680,a(flip),b,1065901,a),rewrite([413120(4),992207(4),398680(11)]),flip(a)]. 1074418 a((x \ y) * a(z,u,y),w,v5) = a(x \ L(y,u,z),w,v5). [hyper(295,a,394213,a,b,1065901,a),rewrite([1020514(4),394186(4)])]. 1074425 a(L(L(x,y,z),y,z),u,w) = a(x,u,w). [para(51(a,1),1065901(a,1,1)),rewrite([1072661(4),797515(5),1072487(5)]),flip(a)]. 1074469 a((x \ L(y,z,u)) * a(w,v5,y),v6,v7) = a(x \ L(L(y,v5,w),z,u),v6,v7). [para(96747(a,2),1065901(a,1,1,2)),rewrite([14986(3),96747(6),99459(7),1018527(6),96597(10)])]. 1074503 a(x \ (y * R(y,z,u)),w,v5) = a(a(y,z,u) * x,w,v5). [para(256868(a,1),1065901(a,2,1,2)),rewrite([1014598(4),1018852(3),13787(7),174217(4),440389(7)])]. 1074505 a(x \ L(y \ R(y,z,u),w,v5),v6,v7) = a(a(y,z,u) * x,v6,v7). [para(272623(a,2),1065901(a,2,1,2)),rewrite([1014598(3),13787(7),174217(4),1074503(4),272623(7)]),flip(a)]. 1074510 a(R(x,y,z) \ L(x,u,w),v5,v6) = a(L(x,u,w) * R(x,y,z),v5,v6). [para(287722(a,2),1065901(a,1,1,2)),rewrite([287722(3),358260(5),626704(4),1019400(5)]),flip(a)]. 1074671 L(a(x,y,z) \ 1,u,w) \ v5 = v5 * a(L(x,u,w),y,z). [back_rewrite(1023158),rewrite([1074425(3),400007(5)])]. 1074700 a(a(x,y,z) * (u * x),w,v5) = a(u * R(x,y,z),w,v5). [back_rewrite(1058788),rewrite([1074503(5)])]. 1074802 x * L(a(L(y,z,u),w,v5) \ 1,v6,v7) = a(L(L(y,v6,v7),z,u),w,v5) \ x. [back_rewrite(1023929),rewrite([1074671(6),48(4),1020514(3)]),flip(a)]. 1074824 a(L(x,y,z),u,L(u,w,v5)) = a(x,L(u,w,v5),L(u,y,z)). [back_rewrite(1014696),rewrite([1074671(7),48(5)])]. 1074829 (x \ a(L(x,x,y),z,u)) * y = (x \ 1) * (a(x,z,u) * y). [back_rewrite(1003465),rewrite([1074671(6),48(4)])]. 1074857 ((a(x,y,z) / u) \ 1) \ u = u * ((a(x,y,z) \ u) \ 1). [back_rewrite(831472),rewrite([1074671(8),1021776(5),48(7)])]. 1074886 a(a(x,y,z),u,w) * a(a(x,y,z),u,w) = 1. [back_rewrite(770592),rewrite([1074671(6),48(4),1024190(6)])]. 1074933 L(x,a(y,z,u) * w,a(y,z,u)) = L(x,w,a(y,z,u)). [back_rewrite(635976),rewrite([1074671(6),48(4),1023101(7),394386(3)]),flip(a)]. 1075015 x \ (y \ ((y * x) * a(z,u,w))) = a(L(z,x,y),u,w). [back_rewrite(594542),rewrite([1074671(11),48(9)])]. 1075119 x * L(a(y,z,u) \ 1,w,v5) = a(L(y,w,v5),z,u) \ x. [back_rewrite(420508),rewrite([1074671(6),48(4),6706(3)]),flip(a)]. 1075123 a(x,y,z) * a(u,w,a(x,y,z)) = a(L(x,w,u),y,z). [back_rewrite(394583),rewrite([1074671(10),48(8)])]. 1075124 a(x,y,a(z,u,w)) * a(z,u,w) = a(L(z,y,x),u,w). [back_rewrite(389275),rewrite([1074671(10),48(8)])]. 1075197 a(L(x,y,z),u,w) * (v5 * a(v6,v7,a(x,u,w))) = v5 * a(L(L(x,y,z),v7,v6),u,w). [back_rewrite(1023526),rewrite([1074671(12)])]. 1075205 a(x,y,a(z,u,w)) * (a(L(z,v5,v6),u,w) * v7) = v7 * a(L(L(z,v5,v6),y,x),u,w). [back_rewrite(1023448),rewrite([1074671(12)])]. 1075268 a(a(x,y,z),u,w) * w = L(w,u,a(x,y,z)). [back_rewrite(1013078),rewrite([1074671(5),1024096(7)])]. 1075287 L(L(x,y,a(z,u,w)),y,a(z,u,w)) = x. [back_rewrite(1009803),rewrite([1074671(10),1022672(9),394386(3),784411(5)])]. 1075428 a(L(x,y,z),u,w) \ a(v5,v6,a(v7,v8,v9)) = L(a(x,u,w) \ a(v5,v6,a(v7,v8,v9)),y,z). [back_rewrite(809365),rewrite([1074671(5),809230(6)])]. 1075565 a(L(x,y,z),u,w) \ 1 = L(a(x,u,w) \ 1,y,z). [back_rewrite(663126),rewrite([1074671(6),399098(6)])]. 1075807 L(L(a(x,y,z) \ 1,u,w),v5,v6) \ 1 = a(L(L(x,u,w),v5,v6),y,z). [back_rewrite(597893),rewrite([1074671(6),1075015(6)]),flip(a)]. 1075855 a(x,y,z) * (L(u,w,a(x,y,z)) * w) = u * (w * a(x,y,z)). [back_rewrite(494677),rewrite([1074671(6),1030486(4)]),flip(a)]. 1075909 x \ ((x * y) * a(z,u,w)) = y * a(L(z,y,x),u,w). [back_rewrite(421336),rewrite([1074671(5)]),flip(a)]. 1075928 L(a(x,y,z) \ K(u,w),v5,v6) \ v7 = a(L(x,v5,v6),y,z) * (K(w,u) * v7). [back_rewrite(421292),rewrite([1074671(6),500783(7),38023(6)]),flip(a)]. 1075958 x * (a(L(y,z,u),w,v5) \ K(v6,v7)) = x * L(a(y,w,v5) \ K(v6,v7),z,u). [back_rewrite(421103),rewrite([1074671(6),1022899(4),1022554(5)])]. 1076006 a(x,y,z) * (u * a(w,v5,a(x,y,z))) = u * a(L(x,v5,w),y,z). [back_rewrite(400007),rewrite([1074671(10)])]. 1076078 a(x,L(y,z,u),L(y,z,u)) = a(x,y,y). [back_rewrite(1037716),rewrite([1074824(3)])]. 1076086 a(x,a(x,y,z),u) = a(u,x,a(x,y,z)). [back_rewrite(1021770),rewrite([1074829(4),606093(9),339095(7),54(7)])]. 1076100 (x * ((a(y,z,u) \ x) \ 1)) \ 1 = x * ((x * a(y,z,u)) \ 1). [back_rewrite(834802),rewrite([1074857(5)])]. 1076114 x * a(a(y,z,u),w,x) = L(x,w,a(y,z,u)). [back_rewrite(788609),rewrite([1074886(5),49(2)]),flip(a)]. 1076160 L(x \ a(y,z,u),a(y,z,u) * x,x) = 1 / (a(y,z,u) \ x). [back_rewrite(642968),rewrite([1074933(11),1018393(9)])]. 1076202 x * L(L(a(y,z,u) \ 1,w,v5),v6,v7) = a(L(L(y,v6,v7),w,v5),z,u) \ x. [back_rewrite(1074802),rewrite([1075565(4)])]. 1076210 a(a(x,y,z),u,w) * (a(x,y,L(z,v5,v6)) \ v7) = a(L(x,u,w),y,L(z,v5,v6)) \ v7. [back_rewrite(1061652),rewrite([1075119(12)])]. 1076231 x * a(y,z,a(x,x,u)) = x * a(u,x,a(x,z,y)). [back_rewrite(1026538),rewrite([1075119(6),150511(2),1022669(4)])]. 1076235 ((x * y) \ x) \ (y \ L(a(x,y,y) \ 1,z,u)) = a(x,y,a(y,z,u)). [back_rewrite(1026427),rewrite([1075119(9),646032(7),1075565(6)])]. 1076266 a(x,x,L(y,z,u)) \ y = L(y,x,L(x,z,u)). [back_rewrite(985053),rewrite([1075119(5),150511(2),1072368(3)]),flip(a)]. 1076296 x * L(x \ L(x,x,y),z,u) = L(x,x,L(y,z,u)). [back_rewrite(811292),rewrite([1075119(5),807266(3)]),flip(a)]. 1076393 x * (a(y,z,u) \ L(a(y,z,u) \ 1,w,v5)) = a(L(y,w,v5),z,u) \ (a(y,z,u) \ x). [back_rewrite(429497),rewrite([1075119(7)]),flip(a)]. 1076413 L(a(x,y,z) \ 1,u,w) * v5 = a(L(x,u,w),y,z) \ v5. [back_rewrite(293941),rewrite([1075119(10)])]. 1076461 L(L(L(a(x,y,z) \ 1,u,w),v5,v6),u,w) = L(a(x,y,z) \ 1,v5,v6). [back_rewrite(1021560),rewrite([1075565(5),1075565(4),1075565(10)])]. 1076471 L(x,y * a(z,u,w),a(z,u,w)) = L(x,y,a(z,u,w)). [back_rewrite(876375),rewrite([1075268(7)])]. 1076481 L(x,y,a(z,u,w)) \ 1 = L(x \ 1,y,a(z,u,w)). [back_rewrite(788437),rewrite([1075287(6),25949(4),61746(2)]),flip(a)]. 1076483 1 / L(x,y,a(z,u,w)) = L(1 / x,y,a(z,u,w)). [back_rewrite(788352),rewrite([1075287(4),25944(4),22924(2)]),flip(a)]. 1076485 a(x,y,a(z,u,w)) * a(x,y,a(z,u,w)) = 1. [back_rewrite(788144),rewrite([1075287(4),323(1)]),flip(a)]. 1076507 x * L(L(L(y \ L(y,y,z),u,w),u,w),v5,v6) = a(L(z,v5,v6),y,y) \ x. [back_rewrite(1025187),rewrite([1075428(6),1075428(5),1026439(4)])]. 1076542 L(L(a(x,y,z) \ 1,u,w),u,w) = a(x,y,z) \ 1. [back_rewrite(1024385),rewrite([1075565(4)])]. 1076543 a(x,y,z) \ a(u,w,a(x,y,z)) = L(a(x,y,z) \ 1,w,u). [back_rewrite(1024362),rewrite([1075565(8)])]. 1076548 a(L(x,y,z),u,w) \ L(a(x,u,w) \ 1,v5,v6) = a(x,u,w) \ L(L(a(x,u,w) \ 1,y,z),v5,v6). [back_rewrite(1023954),rewrite([1075565(12)])]. 1076575 x \ ((1 / x) \ (a(y,z,u) \ 1)) = L(a(y,z,u) \ 1,x,x). [back_rewrite(1022551),rewrite([1075565(11)])]. 1076706 L(L(a(x,y,z) \ 1,u,w),v5,v6) \ v7 = v7 * a(L(L(x,v5,v6),u,w),y,z). [back_rewrite(627302),rewrite([1075807(7)]),flip(a)]. 1076707 a(a(x,y,z),u,w) * a(a(x,y,z),v5,v6) = a(v6,v5,a(x,y,z)) * a(w,u,a(x,y,z)). [back_rewrite(626127),rewrite([1076706(8),48(6),1023952(5)])]. 1076774 x / L(a(y,z,u) * K(w,v5),v6,v7) = x * L(a(y,z,u) \ K(v5,w),v6,v7). [back_rewrite(1022554),rewrite([1075958(10)])]. 1077068 a(L(x,y,z) * u,x,x) = a(x * u,x,x). [back_rewrite(815755),rewrite([1076078(5),1076078(6),811585(6)])]. 1077136 L(x \ L(x,L(x,y,z),u),y,z) = a(u,x,x) \ 1. [back_rewrite(809528),rewrite([1076078(7)])]. 1077315 ((x \ a(y,z,u)) \ 1) \ x = x * (1 / (a(y,z,u) \ x)). [back_rewrite(839566),rewrite([1076160(5)]),flip(a)]. 1077317 (a(x,y,z) / u) * a(a(x,y,z),u,a(x,y,z) * u) = 1 / (a(x,y,z) \ u). [back_rewrite(612206),rewrite([1076160(12)])]. 1077368 L(L(a(x,y,z) \ 1,u,w),v5,v6) * v7 = a(L(L(x,u,w),v5,v6),y,z) \ v7. [back_rewrite(420524),rewrite([1076202(12)])]. 1077425 a(L(x,y,z),u,w) \ (a(x,u,w) \ 1) = a(x,u,w) \ L(a(x,u,w) \ 1,y,z). [back_rewrite(1059237),rewrite([1076413(7),419770(6)])]. 1077509 a(L(x,y,z),u,w) \ (y * z) = (a(x,u,w) \ y) * z. [back_rewrite(398739),rewrite([1076413(6)])]. 1077528 L((1 / x) \ a(y,z,u),x,a(y,z,u)) = (a(y,z,u) \ x) \ (x * x). [back_rewrite(839565),rewrite([1076471(8),1077315(13),67715(14),180145(12),823978(10)])]. 1077529 (x * (1 / (a(y,z,u) \ x))) / x = (a(y,z,u) \ x) \ 1. [back_rewrite(839558),rewrite([1076471(6),397552(4),1077315(9)]),flip(a)]. 1077554 x * (y * a(a(z,u,w),v5,x)) = L(x,v5,a(z,u,w)) * y. [back_rewrite(788509),rewrite([1076471(4)]),flip(a)]. 1077563 L(((a(x,y,z) \ 1) / u) \ 1,u,a(x,y,z)) = u * a(x,y,z). [back_rewrite(444036),rewrite([1076471(10)])]. 1077564 L(((x \ 1) \ a(y,z,u)) \ 1,x,a(y,z,u)) = a(y,z,u) \ (1 / x). [back_rewrite(441851),rewrite([1076471(10)])]. 1077825 a(x,y,z) \ (L(u,w,a(x,y,z)) * w) = u * (a(x,y,z) \ w). [back_rewrite(662980),rewrite([1076542(5),397122(7)])]. 1077848 x / L(L(a(y,z,u) \ 1,w,v5),v6,v7) = x * a(L(L(y,v6,v7),w,v5),z,u). [back_rewrite(398969),rewrite([1076706(12)])]. 1078052 R(x,L(y,z,u),L(y,z,u)) = R(x,y,y). [back_rewrite(811485),rewrite([1077136(4),397087(4),102537(2)]),flip(a)]. 1078072 R(x * (L(x,y,z) \ u),x,x) = (u * x) * (L(x,y,z) \ 1). [back_rewrite(504741),rewrite([1078052(6)])]. 1078267 x / ((x \ a(y,z,u)) \ 1) = x * (1 / (a(y,z,u) \ x)). [back_rewrite(839520),rewrite([1077315(10)])]. 1078291 (x \ L(x,y,z)) * (L(u,w,a(z,y,x)) * w) = u * (w * (x \ L(x,y,z))). [back_rewrite(974190),rewrite([1077554(6)])]. 1078616 R(x,L(y,z,u),R(y,z,u)) = R(x,y,y). [back_rewrite(1020641),rewrite([1078052(6)])]. 1078910 ((x * y) * (L(y,z,u) \ 1)) \ (y * (L(y,z,u) \ (x * y))) = L(y,y,a(u,z,y) * x). [back_rewrite(994137),rewrite([1078072(4)])]. 1078916 L(L(x,y,z) \ x,u,w) \ (w * u) = w * (u * (x \ L(x,y,z))). [back_rewrite(1060128),rewrite([1078291(11)])]. 1078991 (L(x,y,a(z,u,w)) * y) * (w \ L(w,u,z)) = x * (y * (w \ L(w,u,z))). [back_rewrite(1060157),rewrite([1078916(5)]),flip(a)]. 1079075 L(L(x,y,z) \ x,u,w) \ 1 = L(x \ L(x,y,z),u,w). [back_rewrite(1060175),rewrite([1078991(7),56(6)]),flip(a)]. 1079086 L(x \ L(x,y,z),x,u) = (L(x,y,z) \ u) \ (x \ u). [back_rewrite(1065151),rewrite([1079075(5)])]. 1079140 L(x \ L(x,y,z),u,w) \ 1 = L(L(x,y,z) \ x,u,w). [back_rewrite(988602),rewrite([1079075(5),379409(5),981014(9)])]. 1079191 L(L(L(x,y,z) \ x,u,w),v5,v6) \ v7 = v7 * L(L(x \ L(x,y,z),v5,v6),u,w). [back_rewrite(988032),rewrite([1079140(5),384069(5),1079075(10)])]. 1079242 L(L(L(x \ L(x,y,z),u,w),v5,v6),u,w) = L(x \ L(x,y,z),v5,v6). [back_rewrite(987682),rewrite([1079191(7),86937(7),81685(6),973881(5),1079075(10)])]. 1079251 L(x \ L(x,y,z),u,w) \ v5 = v5 * L(L(x,y,z) \ x,u,w). [back_rewrite(987042),rewrite([1079075(5),293077(4)])]. 1079275 L(L(x,y,z) \ x,u,w) \ v5 = L(x \ L(x,y,z),u,w) * v5. [back_rewrite(986757),rewrite([1079075(5)]),flip(a)]. 1079285 x \ ((y / x) \ L(y,z,u)) = L(y \ L(y,z,u),x,x). [back_rewrite(761281),rewrite([1079275(5),49(5)]),flip(a)]. 1079289 L(L(x \ L(x,y,z),u,w),u,w) = x \ L(x,y,z). [back_rewrite(599684),rewrite([1079275(5),49(5)])]. 1079373 a(L(x,y,z),u,w) = a(x,u,L(w,y,z)). [back_rewrite(1030449),rewrite([1079251(5),48(5),1030274(4)])]. 1079387 L(L(x,L(y,z,u),w) \ x,x,y) = a(w,L(y,z,u),x). [back_rewrite(1016218),rewrite([1079251(6),48(6)])]. 1079422 a(x,y,L(L(z,L(z,u,w),y),u,w)) = L(L(z,y,x) \ z,u,w). [back_rewrite(1014225),rewrite([1079251(9),48(9)])]. 1079446 L(L(L(x,y,z) \ x,u,w),L(v5,v6,v7),v8) = L(L(L(x,y,z) \ x,u,w),v5,v8). [back_rewrite(989996),rewrite([1079251(5),48(5),1079251(10),48(10)])]. 1079461 L(L(x,y,z) \ x,x * u,u) = L((x \ u) * u,y,z) \ ((x \ u) * u). [back_rewrite(986882),rewrite([1079251(6),48(6)])]. 1079465 L(L(x,y,z) \ x,x * u,u) = (u * (L(x,y,z) * (x \ (u \ 1)))) \ 1. [back_rewrite(986878),rewrite([1079251(6),48(6)])]. 1079468 L(L(x,y,z) \ x,x,u) = u \ (x * (L(x,y,z) \ u)). [back_rewrite(986875),rewrite([1079251(5),48(5)])]. 1079496 L(L(x,y,z) \ x,u,(w * v5) * v6) = L(L(x,y,z) \ x,u,v5 * (w \ v6)). [back_rewrite(986745),rewrite([1079251(7),48(7),1079251(12),48(12)])]. 1079501 L(L(x,y,z) \ x,L(u,w,v5),v6) = L(L(x,y,z) \ x,u,v6). [back_rewrite(986726),rewrite([1079251(6),48(6),1079251(9),48(9)])]. 1079505 L(L(x,y,z) \ x,u,(w \ v5) * v6) = L(L(x,y,z) \ x,u,v5 * (w * v6)). [back_rewrite(986720),rewrite([1079251(7),48(7),1079251(12),48(12)])]. 1079514 (x \ L(L(x,y,z),u,w)) \ (x \ L(x,y,z)) = L(L(x,u,w) \ x,y,z). [back_rewrite(984774),rewrite([1079251(11),48(11)])]. 1079604 L(L(L(x,y,z) \ x,u,w),u,w) = L(x,y,z) \ x. [back_rewrite(975276),rewrite([1079251(5),48(5)])]. 1079657 (x * L(x \ L(x,y,z),u,w)) \ 1 = x \ L(L(x,y,z) \ x,u,w). [back_rewrite(670917),rewrite([1079251(11),48(11)])]. 1079749 L(L(x,y,z),u,w) \ L(x,y,z) = L(L(x,u,w) \ x,y,z). [back_rewrite(306590),rewrite([1079251(9),48(9)])]. 1079750 L(R(x,y,z),u,w) \ R(x,y,z) = L(L(x,u,w) \ x,y,z). [back_rewrite(306585),rewrite([1079251(9),48(9)])]. 1079845 x * (L(y \ L(y,z,u),w,v5) * v6) = x * (v6 * L(y \ L(y,z,u),w,v5)). [back_rewrite(427699),rewrite([1079275(4),980969(6),1079275(9)]),flip(a)]. 1079873 x / L(L(L(y,z,u) \ y,w,v5),v6,v7) = x * L(L(y \ L(y,z,u),v6,v7),w,v5). [back_rewrite(384069),rewrite([1079191(10)])]. 1079894 L(L(x \ L(x,y,z),u,u),L(x,u,u),u \ x) = (u \ x) \ (u \ L(x,y,z)). [back_rewrite(762224),rewrite([1079285(4)])]. 1079897 x * L(y \ L(y,y,z),u,w) = a(z,y,L(y,u,w)) \ x. [back_rewrite(1076507),rewrite([1079289(4),1079373(6)])]. 1080024 (L(1 / L(x,y,z),u,w) \ 1) * (L(x,y,z) \ x) = x * L(L(x,u,w) \ x,y,z). [back_rewrite(984880),rewrite([1079251(13)])]. 1080028 (L(x,y,z) \ x) * L(L(x,u,w) \ x,y,z) = L(L(x,y,z),u,w) \ x. [back_rewrite(984736),rewrite([1079251(6)])]. 1080066 (x * y) / (y * L(L(z,u,w) \ z,v5,v6)) = (y * L(L(z,u,w) \ z,v5,v6)) \ (y * x). [back_rewrite(981543),rewrite([1079251(5),1079251(10)])]. 1080165 a(x,y,L(z,a(u,w,v5),v6)) = a(x,y,z). [back_rewrite(981120),rewrite([1079251(5),1079251(10),1024688(11),983275(4),1079373(3)])]. 1080179 L(x \ L(x,y,z),u,w) * L(L(x,y,z) \ x,v5,v6) = a(a(z,y,x),u,w) * a(v6,v5,a(z,y,x)). [back_rewrite(981024),rewrite([1079251(7)])]. 1080185 (x * L(L(y,z,u) \ y,w,v5)) * L(L(y \ L(y,z,u),v6,v7),w,v5) = x * a(a(u,z,y),v6,v7). [back_rewrite(980992),rewrite([1079251(4)])]. 1080253 L(x,y,z) * L(L(x,u,w) \ x,y,z) = L(1 / L(x,y,z),u,w) \ 1. [back_rewrite(980637),rewrite([1079251(5)])]. 1080254 R(x,y,z) * L(L(x,u,w) \ x,y,z) = L(1 / R(x,y,z),u,w) \ 1. [back_rewrite(980636),rewrite([1079251(5)])]. 1080317 x * L(y \ (L(y,z,u) \ 1),w,v5) = x / L(y * L(y,z,u),w,v5). [back_rewrite(769808),rewrite([1079251(6),72092(6),25944(5),309161(4)])]. 1080580 L(L(x,y,z) \ x,u,w) * L(L(x,y,z) \ x,u,w) = x * (L(x,y,z) \ (L(x,y,z) \ x)). [back_rewrite(459848),rewrite([1079251(7)])]. 1080676 x / L(y \ L(y,z,u),w,v5) = x * L(L(y,z,u) \ y,w,v5). [back_rewrite(293077),rewrite([1079251(8)])]. 1080702 L(x,y,z) / (x * (L(x \ L(x,y,z),u,w) * L(x,y,z))) = L(x,y,z) \ a(a(z,y,x),u,w). [back_rewrite(992555),rewrite([1079275(6)])]. 1080710 (x / L(y,z,u)) * (y * L(y \ L(y,z,u),w,v5)) = a(v5,w,a(u,z,y)) * x. [back_rewrite(992449),rewrite([1079275(6),188110(6)])]. 1080939 L(x \ L(x,y,z),u,w) * L(x \ L(x,y,z),u,w) = L(x,y,z) * L(x \ 1,y,z). [back_rewrite(997073),rewrite([1079275(7)])]. 1080945 (x * L(x \ L(x,y,z),u,w)) \ v5 = (L(x,y,z) \ v5) * a(a(z,y,x),u,w). [back_rewrite(992544),rewrite([1079275(4),188110(4)])]. 1081016 (x * L(x \ L(x,y,z),u,w)) \ (L(x,y,z) * v5) = v5 * a(a(z,y,x),u,w). [back_rewrite(991728),rewrite([1079275(4),188110(4)])]. 1081117 L(x,L(L(y,z,u) \ y,w,v5) * v6,v7) = L(x,L(y \ L(y,z,u),w,v5) * v6,v7). [back_rewrite(987831),rewrite([1079275(4)]),flip(a)]. 1081195 L(a(x,y,a(z,u,w)) * w,u,z) = w * L(w \ L(w,u,z),y,x). [back_rewrite(986890),rewrite([1079275(8),188110(8)])]. 1081305 x / L(L(y,z,u) \ y,w,v5) = L(y \ L(y,z,u),w,v5) * x. [back_rewrite(118292),rewrite([1079275(8)])]. 1081321 L(L(x,y,z),y,z) \ (x \ L(x,y,z)) = L(L(L(x,y,z),y,z) \ 1,y,z). [back_rewrite(653618),rewrite([1079289(6)])]. 1081323 (x \ L(x,y,z)) / L(L(L(x,y,z),y,z) \ 1,y,z) = L(L(x,y,z),y,z). [back_rewrite(653614),rewrite([1079289(4)])]. 1081454 x / L(L(a(y,z,u) \ 1,w,v5),v6,v7) = x * a(y,z,L(L(u,w,v5),v6,v7)). [back_rewrite(1077848),rewrite([1079373(9),1079373(9)])]. 1081476 a(x,y,L(z,u,w)) \ (u * w) = (a(x,y,z) \ u) * w. [back_rewrite(1077509),rewrite([1079373(2)])]. 1081528 a(x,y,L(z,u,w)) \ (a(x,y,z) \ 1) = a(x,y,z) \ L(a(x,y,z) \ 1,u,w). [back_rewrite(1077425),rewrite([1079373(2)])]. 1081548 L(L(a(x,y,z) \ 1,u,w),v5,v6) * v7 = a(x,y,L(L(z,v5,v6),u,w)) \ v7. [back_rewrite(1077368),rewrite([1079373(9),1079373(9)])]. 1081632 L(L(a(x,y,z) \ 1,u,w),v5,v6) \ v7 = v7 * a(x,y,L(L(z,u,w),v5,v6)). [back_rewrite(1076706),rewrite([1079373(9),1079373(9)])]. 1081642 a(x,y,L(z,u,w)) \ L(a(x,y,z) \ 1,v5,v6) = a(x,y,z) \ L(L(a(x,y,z) \ 1,u,w),v5,v6). [back_rewrite(1076548),rewrite([1079373(2)])]. 1081676 L(a(x,y,z) \ 1,u,w) * v5 = a(x,y,L(z,u,w)) \ v5. [back_rewrite(1076413),rewrite([1079373(7)])]. 1081688 x * (a(y,z,u) \ L(a(y,z,u) \ 1,w,v5)) = a(y,z,L(u,w,v5)) \ (a(y,z,u) \ x). [back_rewrite(1076393),rewrite([1079373(9)])]. 1081796 a(a(x,y,z),u,w) * (a(x,y,L(z,v5,v6)) \ v7) = a(x,y,L(L(z,v5,v6),u,w)) \ v7. [back_rewrite(1076210),rewrite([1079373(9)])]. 1081802 x * L(L(a(y,z,u) \ 1,w,v5),v6,v7) = a(y,z,L(L(u,w,v5),v6,v7)) \ x. [back_rewrite(1076202),rewrite([1079373(9),1079373(9)])]. 1081850 a(x,y,z) * (u * a(w,v5,a(x,y,z))) = u * a(x,y,L(z,v5,w)). [back_rewrite(1076006),rewrite([1079373(7)])]. 1081890 L(a(x,y,z) \ K(u,w),v5,v6) \ v7 = a(x,y,L(z,v5,v6)) * (K(w,u) * v7). [back_rewrite(1075928),rewrite([1079373(7)])]. 1081895 x \ ((x * y) * a(z,u,w)) = y * a(z,u,L(w,y,x)). [back_rewrite(1075909),rewrite([1079373(6)])]. 1082077 a(x,y,L(z,u,w)) \ 1 = L(a(x,y,z) \ 1,u,w). [back_rewrite(1075565),rewrite([1079373(2)])]. 1082159 a(x,y,L(z,u,w)) \ a(v5,v6,a(v7,v8,v9)) = L(a(x,y,z) \ a(v5,v6,a(v7,v8,v9)),u,w). [back_rewrite(1075428),rewrite([1079373(2)])]. 1082315 a(x,y,a(z,u,w)) * (a(z,u,L(w,v5,v6)) * v7) = v7 * a(z,u,L(L(w,y,x),v5,v6)). [back_rewrite(1075205),rewrite([1079373(4),1079373(9),1079373(9)])]. 1082318 a(x,y,L(z,u,w)) * (v5 * a(v6,v7,a(x,y,z))) = v5 * a(x,y,L(L(z,v7,v6),u,w)). [back_rewrite(1075197),rewrite([1079373(2),1079373(9),1079373(9)])]. 1082366 a(x,y,a(z,u,w)) * a(z,u,w) = a(z,u,L(w,y,x)). [back_rewrite(1075124),rewrite([1079373(6)])]. 1082367 a(x,y,z) * a(u,w,a(x,y,z)) = a(x,y,L(z,w,u)). [back_rewrite(1075123),rewrite([1079373(6)])]. 1082368 x * L(a(y,z,u) \ 1,w,v5) = a(y,z,L(u,w,v5)) \ x. [back_rewrite(1075119),rewrite([1079373(7)])]. 1082433 x \ (y \ ((y * x) * a(z,u,w))) = a(z,u,L(w,x,y)). [back_rewrite(1075015),rewrite([1079373(7)])]. 1082629 L(a(x,y,z) \ 1,u,w) \ v5 = v5 * a(x,y,L(z,u,w)). [back_rewrite(1074671),rewrite([1079373(7)])]. 1082637 a(x,y,L(L(z,u,w),u,w)) = a(x,y,z). [back_rewrite(1074425),rewrite([1079373(3),1079373(3)])]. 1082662 L(x,R(y,z,u),L(y,z,u)) = L(x,y,y). [back_rewrite(1072609),rewrite([1079373(3),797702(3),1024267(3),85130(2)]),flip(a)]. 1082681 a(x,y,L(L(L(z,u,w),v5,v6),u,w)) = a(x,y,L(z,v5,v6)). [back_rewrite(1071857),rewrite([1079373(4),1079373(4),1079373(4),1079373(6)])]. 1082741 a(x * (y \ z),u,L(w,y * z,y * z)) = a((y \ z) \ x,u,w). [back_rewrite(1070851),rewrite([1079373(6)])]. 1082897 a(x,y,a(z,u,w)) * a(v5,v6,L(v7,v8,v9)) = L(a(x,y,a(z,u,w)) * a(v5,v6,v7),v8,v9). [back_rewrite(1061752),rewrite([1079373(4)])]. 1083007 (x \ (a(x,y,L(z,u,w)) \ v5)) * a(x,y,z) = (x \ v5) * a(w,u,a(x,y,z)). [back_rewrite(1059434),rewrite([1079373(2)])]. 1083021 (R(x,y,z) \ x) * a(x,u,L(w,y,z)) = x * (R(x,y,z) \ a(x,u,L(w,y,z))). [back_rewrite(1059266),rewrite([1079373(4),1079373(8)])]. 1083045 a(x * y,z,L(u,y,y)) = a(y \ x,z,u). [back_rewrite(1051154),rewrite([1079373(5),12598(5)])]. 1083052 (x \ 1) * a(y,z,L(u,x,x)) = x \ a(y,z,u). [back_rewrite(1039936),rewrite([1079373(4)])]. 1083084 a(x,y,x \ z) = a(x,y,z * x). [back_rewrite(1038160),rewrite([1079373(3),73074(3)]),flip(a)]. 1083262 x * a(y,z,L(u,x,x)) = (1 / x) \ a(y,z,u). [back_rewrite(1033390),rewrite([1079373(2)])]. 1083356 a(x,y,L(z,a(u,w,v5) * v6,a(u,w,v5) * v6)) = a(x,y,L(z,v6,v6)). [back_rewrite(1031045),rewrite([1079373(6),1079373(8)])]. 1083360 a(a(x,y,z) * (u * w),v5,L(v6,u,u)) = a((a(x,y,z) * u) \ w,v5,v6). [back_rewrite(1031041),rewrite([1079373(5),20253(5)])]. 1083371 a(a(x,y,z) * (z \ u),w,v5) = a(L(z,y,x) \ u,w,v5). [back_rewrite(1030883),rewrite([1079373(7),966852(7),1082741(7),440389(4)])]. 1083439 (x * y) * a(z,u,L(w,y,x)) = x * (y * a(z,u,w)). [back_rewrite(1030486),rewrite([1079373(3)])]. 1083499 a(L(x,y,z) \ u,w,L(v5,x,u)) = a(u * L(x,y,z),w,v5). [back_rewrite(1028295),rewrite([1079373(4)])]. 1083509 a(a(x,y,z) * (u \ w),v5,L(v6,u,w * a(x,y,z))) = a(a(x,y,z) * (w * u),v5,v6). [back_rewrite(1028173),rewrite([1079373(7)])]. 1083511 a(a(x,y,z) * (u \ w),v5,L(v6,u,a(x,y,z) * w)) = a(a(x,y,z) * (w * u),v5,v6). [back_rewrite(1028170),rewrite([1079373(7)])]. 1083517 a((x \ y) \ z,u,L(w,y * x,z)) = a(z * (x \ y),u,w). [back_rewrite(1028159),rewrite([1079373(5)])]. 1083524 a(x \ L(y,z,u),w,L(v5,x,y)) = a(L(y,z,u) * x,w,v5). [back_rewrite(1028148),rewrite([1079373(4)])]. 1083625 a(x,y,L(z,u,w)) * a(v5,v6,a(v7,v8,v9)) = L(a(v5,v6,a(v7,v8,v9)) * a(x,y,z),u,w). [back_rewrite(1027372),rewrite([1079373(2)])]. 1083983 a(x * R(y,z,u),w,L(v5,y,y)) = a(R(y,z,u) \ x,w,v5). [back_rewrite(1025783),rewrite([1079373(4)])]. 1084374 a(x,y,L(z,u,w)) * (w * u) = w * (u * a(x,y,z)). [back_rewrite(1024705),rewrite([1079373(2)])]. 1084411 a(x,y,L(z,u,w)) * (w * (u \ 1)) = w * ((u \ 1) * a(x,y,z)). [back_rewrite(1024667),rewrite([1079373(2)])]. 1084412 a(x,y,L(z,u,w)) * (w * (u \ K(v5,v6))) = w * ((u \ K(v5,v6)) * a(x,y,z)). [back_rewrite(1024666),rewrite([1079373(2)])]. 1084615 R(a(x,y,z),u,w) = a(x,y,L(z,u,w)). [back_rewrite(1024430),rewrite([1079373(4)])]. 1084616 a(x,y,z) * (u * a(a(x,y,z),w,v5)) = u * a(x,y,L(z,w,v5)). [back_rewrite(1024429),rewrite([1079373(7)])]. 1084626 a(x,y,z) * a(a(x,y,z),u,w) = a(x,y,L(z,u,w)). [back_rewrite(1024415),rewrite([1079373(6)])]. 1084640 a(x,y,L(z,u,w)) * (u * w) = (a(x,y,z) * u) * w. [back_rewrite(1024393),rewrite([1079373(2)])]. 1084681 a(x,y,L(z,u,w)) * (a(x,y,z) \ v5) = v5 * a(a(x,y,z),u,w). [back_rewrite(1024345),rewrite([1079373(2)])]. 1084687 a(a(x,y,z),u,w) * (v5 * a(x,y,z)) = v5 * a(x,y,L(z,u,w)). [back_rewrite(1024338),rewrite([1079373(7)])]. 1084694 a(x,y,L(z,u,a(w,v5,v6) * a(v7,v8,v9))) = a(x,y,z). [back_rewrite(1024326),rewrite([1079373(5)])]. 1084710 (a(x,y,L(z,u,w)) \ v5) * (a(x,y,z) * a(v6,v7,v8)) = a(v6,v7,v8) * (v5 * a(w,u,a(x,y,z))). [back_rewrite(1024309),rewrite([1079373(2)])]. 1084837 a(x * (y * (z * a(u,w,L(v5,v6,v7)))),v8,v9) = a(x * (z * (y * a(u,w,v5))),v8,v9). [back_rewrite(1024123),rewrite([1079373(2)])]. 1084867 a(x * (a(y,z,L(u,w,v5)) * v6),v7,v8) = a(v6 * (x * a(y,z,u)),v7,v8). [back_rewrite(1024085),rewrite([1079373(2)])]. 1084872 a(x * (y * a(z,u,L(w,v5,v6))),v7,v8) = a(y * (x * a(z,u,w)),v7,v8). [back_rewrite(1024079),rewrite([1079373(2)])]. 1084882 (a(x,y,z) / u) \ a(x,y,L(z,w,v5)) = a(a(x,y,z),w,v5) * u. [back_rewrite(1024068),rewrite([1079373(4)])]. 1084905 L(x,a(y,z,L(u,w,v5)) * v6,v7) = L(x,a(y,z,u) * v6,v7). [back_rewrite(1024044),rewrite([1079373(2)])]. 1084978 a(x,y,z) \ a(x,y,L(L(z,u,w),v5,v6)) = a(a(x,y,z),v5,v6) * a(a(x,y,z),u,w). [back_rewrite(1023952),rewrite([1079373(4),1079373(4)])]. 1084986 a(x,y,L(z,u,w)) * a(x,y,L(z,v5,v6)) = a(x,y,z) * a(x,y,L(L(z,v5,v6),u,w)). [back_rewrite(1023901),rewrite([1079373(2),1079373(4),1079373(9),1079373(9)])]. 1084996 a(x,y,a(z,u,L(w,v5,v6)) * v7) = a(x,y,v7 * a(z,u,w)). [back_rewrite(1023889),rewrite([1079373(2)])]. 1085011 a(x,y,L(z,u,u)) \ u = (1 / u) \ (a(x,y,z) \ 1). [back_rewrite(1023864),rewrite([1079373(2)])]. 1085454 a(x,y * a(z,u,L(w,v5,v6)),v7) = a(x,y * a(z,u,w),v7). [back_rewrite(1023252),rewrite([1079373(2)])]. 1085475 (x \ (a(y,z,u) \ w)) * a(v5,v6,a(y,z,u)) = x \ (a(y,z,L(u,v6,v5)) \ w). [back_rewrite(1023227),rewrite([1079373(8)])]. 1085709 K(x,y) * a(z,u,L(w,v5,v6)) = L(a(z,u,w) * K(x,y),v5,v6). [back_rewrite(1022899),rewrite([1079373(3)])]. 1085793 x * a(y,z,L(u,w,v5 * v6)) = x * a(y,z,L(u,w,v6 * v5)). [back_rewrite(1022747),rewrite([1079373(3),1079373(7)])]. 1085849 L(x,y * a(z,u,L(w,v5,v6)),v7) = L(x,y * a(z,u,w),v7). [back_rewrite(1022635),rewrite([1079373(2)])]. 1085970 x * a(y,z,L(u,x * w,w)) = w * ((w \ x) * a(y,z,u)). [back_rewrite(1022285),rewrite([1079373(3)])]. 1085982 a(x,y,L(z,u \ w,v5)) = a(x,y,L(z,w * u,v5)). [back_rewrite(1022268),rewrite([1079373(3),1079373(6)])]. 1086045 a(x,y,L(z,L(u,w,v5),v6)) = a(x,y,L(z,u,v6)). [back_rewrite(1022171),rewrite([1079373(3),1079373(5)])]. 1086081 a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)) = a(w,u,a(x,y,z)) * a(a(x,y,z),v5,v6). [back_rewrite(1022119),rewrite([1079373(2),1079373(4)])]. 1086088 a(x,y,L(z,u,L(w,v5,v6))) = a(x,y,L(z,u,w)). [back_rewrite(1022100),rewrite([1079373(3),1079373(5)])]. 1086118 a(x,y,L(z,u,w \ v5)) = a(x,y,L(z,u,w * v5)). [back_rewrite(1022066),rewrite([1079373(3),1079373(6)])]. 1086123 a(x,y,L(z,u,(w * v5) * v6)) = a(x,y,L(z,u,v5 * (w \ v6))). [back_rewrite(1022056),rewrite([1079373(4),1079373(8)])]. 1086282 a(x,y,L(L(z,u,w),v5,v6)) \ a(x,y,z) = a(w,u,a(x,y,z)) * a(v6,v5,a(x,y,z)). [back_rewrite(1021860),rewrite([1079373(3),1079373(3)])]. 1086459 a(x,y,z * a(u,w,L(v5,v6,v7))) = a(x,y,z * a(u,w,v5)). [back_rewrite(1021615),rewrite([1079373(2)])]. 1086461 a(x,y,L(z,u,w)) * (v5 \ (a(x,y,L(z,u,w)) \ v6)) = a(x,y,z) \ (v5 \ (v6 * a(x,y,z))). [back_rewrite(1021611),rewrite([1079373(2),1079373(4)])]. 1086549 T(a(x,y,L(z,u,u)) \ u,u \ 1) = (a(x,y,z) \ 1) / (1 / u). [back_rewrite(1021479),rewrite([1079373(2)])]. 1086557 a(x,y,z) \ a(x,y,L(z,u,w)) = a(a(x,y,z),u,w). [back_rewrite(1021453),rewrite([1079373(3)])]. 1086612 (a(x,y,z) * z) * (z \ u) = u * a(x,y,L(z,z,u)). [back_rewrite(1021332),rewrite([1079373(6)])]. 1086619 a(x,y,L(z,u,w)) \ a(x,y,z) = a(w,u,a(x,y,z)). [back_rewrite(1021323),rewrite([1079373(2)])]. 1087026 a(x,y,L(z,u,w)) \ L(x \ R(x,y,z),u,w) = a(y,x,a(z,y,x)). [back_rewrite(1020704),rewrite([1079373(2)])]. 1087030 a(x,y,L(z,(u \ w) * v5,v6)) = a(x,y,L(z,w * (u * v5),v6)). [back_rewrite(1020689),rewrite([1079373(4),1079373(8)])]. 1087032 a(x,y,L(z,u,w)) * a(a(x,y,z),v5,v6) = a(x,y,L(L(z,u,w),v5,v6)). [back_rewrite(1020687),rewrite([1079373(8)])]. 1087034 a(x,y,L(z,u,L(w,v5,v6) * v7)) = a(x,y,L(z,u,w * L(v7,v5,v6))). [back_rewrite(1020685),rewrite([1079373(4),1079373(8)])]. 1087056 L(a(x,y,z),u,w) = a(x,y,L(z,u,w)). [back_rewrite(1020514),rewrite([1079373(4)])]. 1087203 a(x,y,L(z,u,w)) * (x \ R(1 / x,u,w)) = R(x \ 1,u,w) * (x \ a(x,y,L(z,u,w))). [back_rewrite(1005579),rewrite([1079373(7),339179(9),1079373(9)]),flip(a)]. 1087308 a(x * y,z,L(u,y,x)) = a(y \ x,z,u). [back_rewrite(997954),rewrite([1079373(3)])]. 1087420 a(x \ y,z,L(u,x,x)) = a(x * y,z,u). [back_rewrite(971722),rewrite([1079373(6),134372(6),269492(4),96449(6)])]. 1087425 a((x * y) \ (z * x),u,w) = a(y \ z,u,L(w,y,x)). [back_rewrite(971579),rewrite([1079373(6),967453(6),389268(4),12346(6)]),flip(a)]. 1087427 a((x * y) \ (z * y),u,w) = a(x \ z,u,L(w,x,y)). [back_rewrite(971576),rewrite([1079373(6),1030700(6),20152(6)]),flip(a)]. 1087973 a((a(x,y,z) * u) \ w,v5,v6) = a(a(x,y,z) * (u \ w),v5,v6). [back_rewrite(966869),rewrite([1079373(5),46528(5),1083360(5)])]. 1087989 a(x * y,z,L(u,x,x)) = a(x \ y,z,u). [back_rewrite(966692),rewrite([1079373(4),464076(4)])]. 1088348 ((K(x,y) / L(y,z,u)) * w) \ (L(T(y,x),z,u) \ w) = a(y,y,L(y,z,u) * w). [back_rewrite(801662),rewrite([1079373(5),1024267(5)]),flip(a)]. 1088424 a((x * y) \ ((x * z) * y),u,w) = a(z,u,L(w,x,y)). [back_rewrite(797684),rewrite([1079373(7)])]. 1088742 a(((a(x,y,z) \ u) * w) \ ((u * (a(x,y,z) \ v5)) * w),v6,v7) = a(v5,v6,L(v7,a(x,y,z) * u,w)). [back_rewrite(796819),rewrite([1079373(13)])]. 1088849 a(R(x,y,z),u,w) = a(x,u,L(w,y,z)). [back_rewrite(796320),rewrite([1079373(4)])]. 1089739 a(x,y,L(z,u,x)) = a(x,y,z). [back_rewrite(464056),rewrite([1079373(2)])]. 1089836 a(x,L(x,y,z),u) = a(x,x,L(u,y,z)). [back_rewrite(150511),rewrite([1079373(2)]),flip(a)]. 1089856 a(x \ y,z,L(u,x,y)) = a(y * x,z,u). [back_rewrite(46635),rewrite([1079373(3)])]. 1089919 L(L(x,y,z) \ x,x,z * y) = a(z,y,x). [back_rewrite(1018095),rewrite([1079501(5)])]. 1089927 L(L(x,y,z) \ x,x,a(z,y,x) * u) = (u * x) \ (x * (L(x,y,z) \ (u * x))). [back_rewrite(994405),rewrite([1079501(6)])]. 1089944 L(L(x,y,z) \ x,R(u,w,v5),v6) = L(L(x,y,z) \ x,u,v6). [back_rewrite(413235),rewrite([1079501(8)])]. 1089983 L(x,L(x,y,z),u) = L(x,x,L(u,y,z)). [back_rewrite(1076296),rewrite([1079897(4),1072522(3)])]. 1090011 (x * L(x,y,z)) * (L(x * L(x,y,z),u,w) \ v5) = a(a(z,y,x),u,w) * v5. [back_rewrite(978398),rewrite([1080317(9),379420(7)])]. 1090014 x / L(x * L(x,y,z),u,w) = x \ L(L(x,y,z) \ x,u,w). [back_rewrite(166136),rewrite([1080317(6)])]. 1090197 L(x,y * L(y * L(y,z,u),w,v5),v6) = L(x,L(y,z,u),v6). [back_rewrite(1064417),rewrite([1081117(5),188110(4),629422(5)])]. 1090501 R(x,y,z) * (u * (R(x,y,z) \ 1)) = x * (u * (x \ 1)). [back_rewrite(447422),rewrite([1082662(6),61614(4)]),flip(a)]. 1090545 R(x,y,z) * (x \ ((R(x,y,z) \ 1) * u)) = (x \ 1) * u. [back_rewrite(209880),rewrite([1082662(10),28098(9)])]. 1090619 a(x,y \ (x \ y),y * x) = ((x \ y) / y) * x. [back_rewrite(981769),rewrite([1083084(4)])]. 1090796 a(x,y,z * a(u,w,z)) = a(x,y,L(z,w,u)). [back_rewrite(1053892),rewrite([1084996(4)])]. 1091004 a(x,y,L(z \ u,u * z,z)) = a(x,y,u \ z). [back_rewrite(164080),rewrite([1085982(4)])]. 1091024 a(x,y,L(z,R(u,w,v5),v6)) = a(x,y,L(z,u,v6)). [back_rewrite(996514),rewrite([1086045(6)])]. 1091045 a(x,R(y,z,u),L(w,w,y)) = L(w,R(y,z,u),x) \ w. [back_rewrite(1014248),rewrite([1086088(4)])]. 1091064 a(x,x,x * (L(x,y,z) * u)) = a(x,x,u). [back_rewrite(607794),rewrite([1086088(3),740788(2)]),flip(a)]. 1091246 a(x,y,L(z,z,a(u,w,z) * v5)) = a(x,y,L(z,z,v5)). [back_rewrite(995950),rewrite([1087034(4),666523(4),1086088(3)]),flip(a)]. 1091331 a(x \ (y * (z * a(u,w,v5))),v6,v7) = a(a(u,w,v5) * (x \ (y * z)),v6,v7). [back_rewrite(969200),rewrite([1087973(5)]),flip(a)]. 1091336 a((x * a(y,z,u)) \ w,v5,v6) = a(a(y,z,u) * (x \ w),v5,v6). [back_rewrite(164969),rewrite([1087973(4)]),flip(a)]. 1091978 a(x,y,L(L(z,z,L(y,u,w)),u,w)) = L(L(z,y,x) \ z,u,w). [back_rewrite(1079422),rewrite([1089983(2)])]. 1093191 a((a(x,y,z) \ u) \ w,v5,v6) = a(a(x,y,z) * (u \ w),v5,v6). [back_rewrite(398389),rewrite([1091336(8)])]. 1093548 L(L(x,y,z) \ x,u,w) * (v5 * L(L(x \ L(x,y,z),v6,v7),u,w)) = v5 * a(a(z,y,x),v6,v7). [hyper(5083,a,1079251,a,b,504398,a(flip)),rewrite([1079191(14),1079251(16),58(17),6174(13),408211(12),323(10),408(11),1079191(18),1080185(18)])]. 1093657 L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)) = L(x,y,L(L(z \ L(z,u,w),v5,v6),v7,v8)). [para(1079251(a,1),83591(a,1,3,1)),rewrite([48(5)])]. 1093676 R(x,L(L(y,z,u) \ y,w,v5),v6) = L(x,a(u,z,y),v6). [para(1079251(a,2),212781(a,1,1,1)),rewrite([1079251(4),1080066(10),6619(10),6174(4),408211(3),323(1),408(2),983275(4),6159(6),378475(5),323(3),15(4),49(4)]),flip(a)]. 1093693 L(x,y \ L(L(z,u,w) \ z,v5,v6),v7) = L(x,y \ L(z \ L(z,u,w),v5,v6),v7). [para(1079251(a,1),455829(a,1,2,2)),rewrite([48(5)])]. 1094028 a(x,y,(x * z) \ u) = a(x,y,z \ (x \ u)). [para(11892(a,1),1089739(a,1,3))]. 1094034 a(x,y,L(x \ z,u,w)) = a(x,y,L(x * z,u,w)). [para(65410(a,1),1089739(a,1,3)),rewrite([990045(5),466371(5),990045(6)]),flip(a)]. 1094037 a(x,y,L(x,z,u) * (x \ w)) = a(x,y,x * (L(x,z,u) * w)). [para(159652(a,1),1089739(a,1,3)),rewrite([158303(6),401180(3),162252(4)]),flip(a)]. 1094336 a((x \ (y \ z)) \ u,w,L(v5,z * (y * x),u)) = a(u * (x \ (y \ z)),w,v5). [hyper(5081,a,239471,a,b,1083517,a),rewrite([239471(4),1087030(11)]),flip(a)]. 1094412 a(x * ((R(y,z,u) * a(w,v5,v6)) \ v7),v8,v9) = a(x * (R(y,z,u) \ (a(w,v5,v6) \ v7)),v8,v9). [para(132440(a,1),1083517(a,1,3,2)),rewrite([967447(11),1094336(11)]),flip(a)]. 1094549 a(x * y,z,L(u,x,y)) = a(x \ y,z,u). [para(709812(a,1),1083517(a,2,1)),rewrite([25365(4),48(6),1086088(7),12467(6),1079373(8),12592(8),46639(8),1087989(6)])]. 1094591 a(x * (y * a(x,z,u)),w,v5) = a(y * R(x,z,u),w,v5). [para(1006530(a,1),1083517(a,1,1)),rewrite([48(7),69042(9),1083509(7),1074700(4),1003545(8),47239(9),1002286(6)]),flip(a)]. 1094605 a(x * (y * a(y,z,u)),w,v5) = a(x * R(y,z,u),w,v5). [para(1005362(a,1),1083517(a,2,1)),rewrite([1007476(5),48(7),69042(9),1083511(7),1074700(4),13808(9),338014(7),1030545(7)]),flip(a)]. 1094613 a(x * ((a(y,z,u) * R(w,v5,v6)) \ v7),v8,v9) = a(x * (R(w,v5,v6) \ (a(y,z,u) \ v7)),v8,v9). [back_rewrite(106631),rewrite([1094412(6)]),flip(a)]. 1094664 a(x * ((a(y,z,u) * w) \ v5),v6,v7) = a(x * (w \ (a(y,z,u) \ v5)),v6,v7). [back_rewrite(1073773),rewrite([1094613(6),107902(6)]),flip(a)]. 1094679 a(x * ((y * a(z,u,w)) \ v5),v6,v7) = a(x * (y \ (a(z,u,w) \ v5)),v6,v7). [back_rewrite(15559),rewrite([1094664(5)]),flip(a)]. 1094712 a(x,y,L(L(z,z,y),u,w)) = L(z,y,L(x,u,w)) \ z. [hyper(295,a,1009056,a(flip),b,1079373,a),flip(a)]. 1094736 L(x,L(y,z,u),L(y,z,u)) = L(x,y,y). [para(1079373(a,1),85130(a,1,1)),rewrite([1089836(3),1082637(3),85130(2)]),flip(a)]. 1094740 a(x,y,L(z * R(z,u,w),v5,v6)) = a(x,y,a(z,u,w)). [para(272623(a,2),1079373(a,2,3)),rewrite([1014598(4),1079373(3),1087056(2),974609(3),272623(6),1064025(6)]),flip(a)]. 1094775 a(x,y,L(z,u,w)) \ (z \ v5) = z \ (a(x,y,L(z,u,w)) \ v5). [para(1079373(a,1),646032(a,1,1)),rewrite([1079373(6)])]. 1094818 a(x,y,L(L(z \ R(z,u,w),v5,v6),z,v7)) = a(x,y,a(z,u,w)). [para(1027734(a,1),1079373(a,2,3)),rewrite([1064025(6),1094740(6),1079373(4),1087056(3),1086045(3),974609(3)]),flip(a)]. 1094822 a(x \ L(y,z,L(u,w,v5)),v6,v7) = a(x \ L(y,z,u),v6,v7). [para(1079373(a,1),1065901(a,1,1,1)),rewrite([1018539(5),1074418(4)]),flip(a)]. 1095290 L(x,y,z) \ L(u,x,x) = (L(x,y,z) \ 1) * u. [back_rewrite(432556),rewrite([1094736(9),621473(7)])]. 1095303 (1 / L(x,y,z)) * (x \ u) = (1 / x) * (L(x,y,z) \ u). [back_rewrite(354641),rewrite([1094736(6),60426(4)]),flip(a)]. 1095585 L(L((x \ 1) \ 1,y,z) \ u,x,x) = (L(x,y,z) \ 1) * u. [back_rewrite(621473),rewrite([1095290(10)])]. 1095589 x \ ((L(x,y,z) \ 1) * u) = (1 / x) * (L(x,y,z) \ u). [back_rewrite(354734),rewrite([1095290(3)])]. 1095607 (1 / x) * (L(x,y,z) \ (L(x,y,z) \ u)) = (L(x,y,z) * L(x,y,z)) \ (x \ u). [back_rewrite(354630),rewrite([1095303(7)])]. 1095700 T(x,y * y) * (1 / L(y,z,u)) = (1 / y) * (L(y,z,u) \ (x * y)). [back_rewrite(497154),rewrite([1095589(5),504567(6)]),flip(a)]. 1095835 a(x \ (R(x,y,z) \ u),w,v5) = a(x * (R(x,y,z) * u),w,v5). [para(63041(a,1),1087420(a,2,1)),rewrite([776371(3),209136(6),1082662(6),1087989(5)])]. 1095949 a(L(x,y,z) \ u,w,x) = a(L(x,y,z) * u,w,x). [para(381372(a,1),1087420(a,1,3)),rewrite([1089983(4),381372(4),464171(4)])]. 1096565 a(x * (y * R(y,z,u)),w,v5) = a(x * a(y,z,u),w,v5). [para(820952(a,1),1089856(a,2,1)),rewrite([1066180(10),26536(8),454288(8),1074505(6),385056(3),12463(4),12463(9),1071775(8)]),flip(a)]. 1096689 a(x * (R(y,z,u) \ y),w,v5) = a(x * a(y,z,u),w,v5). [back_rewrite(358260),rewrite([1096565(8)])]. 1096698 a(x * (y \ R(y \ 1,z,u)),w,v5) = a(x * a(y,z,u),w,v5). [back_rewrite(272450),rewrite([1096565(10)])]. 1096699 a(x * (y \ R(y,z,u)),w,v5) = a(x * a(y,z,u),w,v5). [back_rewrite(174144),rewrite([1096565(8)])]. 1096719 a(x * (y \ z),u,L(w,z * y,x)) = a((y \ z) \ x,u,w). [hyper(295,a,1083517,a(flip),b,1082637,a)]. 1096895 a(x,y,L(L(z,u \ w,v5),v6,v7)) = a(x,y,L(L(z,w * u,v5),v6,v7)). [hyper(295,a,1079373,a(flip),b,1085982,a),rewrite([1079373(8)])]. 1097438 L(L(x,y,z) \ u,x,x) = (1 / L(x,y,z)) * u. [hyper(5083,a,1095290,a,b,90188,a),rewrite([337(5),337(7),69930(6),50(7),432002(11),6174(12),405411(11),324(8),49(8),65026(7)])]. 1097521 R(x / L(y,z,u),y,y) = x * (L(y,z,u) \ 1). [hyper(5081,a,406330,a(flip),b,1095290,a),rewrite([61614(9),162681(10),505580(10)]),flip(a)]. 1097647 (L(x,y,z) \ 1) * ((x \ 1) \ u) = x * (L(x,y,z) \ u). [para(60809(a,1),1095290(a,1,2)),rewrite([162681(3)]),flip(a)]. 1097758 (L(x \ R(x,y,z),u,w) \ 1) * v5 = L(x \ R(x,y,z),u,w) \ v5. [para(272623(a,2),1095290(a,1,1)),rewrite([272623(4),1000535(8),784482(7),11009(5),784548(7)]),flip(a)]. 1097849 (x * (L(x,y,z) \ x)) * u = x * (x * (L(x,y,z) \ u)). [para(26163(a,1),1095290(a,1,2)),rewrite([162681(4),162681(3),57375(10),162681(7)]),flip(a)]. 1097868 (L(R(x,y,z) \ x,u,w) \ 1) * v5 = L(R(x,y,z) \ x,u,w) \ v5. [para(667746(a,1),1095290(a,1,1)),rewrite([1066175(10),784027(8),784482(7),784548(7),667746(9)]),flip(a)]. 1098026 (1 / x) * (L(x,y,z) \ (u * x)) = (1 / L(x,y,z)) * T(u,x). [back_rewrite(567394),rewrite([1097438(4)]),flip(a)]. 1098055 (x * (L(y,z,u) \ 1)) \ (y * (L(y,z,u) \ x)) = L(y,y,L(y,z,u) * x). [back_rewrite(1065230),rewrite([1097521(3)])]. 1098089 (L(x,y,z) \ u) * (x \ 1) = (x \ u) * (L(x,y,z) \ 1). [back_rewrite(497830),rewrite([1097521(4)]),flip(a)]. 1098114 ((L(x,y,z) \ x) * x) * u = x * (x * (L(x,y,z) \ u)). [back_rewrite(305235),rewrite([1097647(7)]),flip(a)]. 1098117 x * (L(y \ R(y,z,u),w,v5) \ 1) = L(y \ R(y,z,u),w,v5) \ x. [back_rewrite(825180),rewrite([1097758(6)]),flip(a)]. 1098190 x * (L(R(y,z,u) \ y,w,v5) \ 1) = L(R(y,z,u) \ y,w,v5) \ x. [back_rewrite(427849),rewrite([1097868(6)]),flip(a)]. 1098212 T(x,y * y) * (1 / L(y,z,u)) = (1 / L(y,z,u)) * T(x,y). [back_rewrite(1095700),rewrite([1098026(12)])]. 1098217 L(x,x,x * (y * L(x,z,u))) = L(x,x,a(u,z,x) * y). [back_rewrite(1078910),rewrite([1098055(10),158793(3)])]. 1098364 a((x * y) \ (L(L(x,z,u),w,v5) * y),v6,v7) = a(x * L(L(x,z,u),w,v5),v6,L(v7,x,y)). [hyper(5081,a,149475,a(flip),b,1087427,a),flip(a)]. 1098689 a(L(L(x \ 1,y,z),u,w) \ (v5 * L(x \ L(x,u,w),y,z)),v6,v7) = a(L(x,y,z) \ v5,v6,v7). [para(307866(a,1),1087427(a,1,1,1)),rewrite([985546(21),784027(19),784482(18),48(16),454288(17),70583(15)])]. 1099566 a(L(x,y,z) \ L(L(L(x \ 1,y,z),u,w),v5,v6),v7,v8) = a(x * L(L(x,v5,v6),u,w),v7,v8). [para(307866(a,1),1098364(a,1,1,1)),rewrite([1098689(15),985546(24),784027(22),784482(21),48(19),454288(20),1071739(18),158137(16),148178(13),1029550(14)])]. 1099628 a(a(x,y,z) * (u \ L(z,w,v5)),v6,v7) = a(u \ L(L(z,y,x),w,v5),v6,v7). [hyper(295,a,1089856,a,b,1074469,a),rewrite([635963(8),1087034(9),1080165(9),398307(5)])]. 1100083 x * a(y,x,a(x,z,u)) = L(x,a(x,z,u),y). [para(1076086(a,1),339095(a,2,2)),rewrite([339095(5),386985(3)]),flip(a)]. 1100248 x * a(y,z,a(x,x,u)) = L(x,a(x,z,y),u). [back_rewrite(1076231),rewrite([1100083(6)])]. 1100258 L(x,y,z) * ((u * L(x,y,z)) \ (u * x)) = L(x,a(x,y,z),u). [back_rewrite(980674),rewrite([1100083(9)])]. 1100398 a(x * R(y,z,u),w,L(v5,x,y)) = a(x \ R(y,z,u),w,v5). [hyper(5081,a,281549,a,b,1094549,a),rewrite([281549(5),209136(7),1086088(8)]),flip(a)]. 1100404 a(x * L(y,z,u),w,L(v5,y,x)) = a(L(y,z,u) \ x,w,v5). [hyper(5081,a,70583,a(flip),b,1094549,a),rewrite([70578(11),1086045(10),158137(9)]),flip(a)]. 1100413 a(x * (y * z),u,L(w,x,z * y)) = a(x \ (z * y),u,w). [hyper(295,a,46791,a,b,1094549,a)]. 1100502 a(x * (y * z),u,L(w,y,z * x)) = a(R(y,z,x) \ (z * x),u,w). [para(205680(a,1),1094549(a,1,1)),rewrite([46365(7),1091024(7),18162(6),134484(10)])]. 1100510 a(R(R(x,y,z),u,w) \ x,v5,v6) = a(x * R(R(x,y,z),u,w),v5,v6). [para(283609(a,1),1094549(a,1,1)),rewrite([1091024(7),209874(5),1086088(6),1087989(5),283998(4)]),flip(a)]. 1100642 a(x * ((y * R(y,z,u)) * w),v5,L(v6,x,a(y,z,u) * w)) = a(x \ (w * (y \ R(y,z,u))),v5,v6). [para(820895(a,2),1094549(a,1,1)),rewrite([1000416(8),853000(8)])]. 1100659 a(x * (y * (L(y,z,u) \ w)),v5,L(v6,x,a(u,z,y) * w)) = a(x \ (y * (L(y,z,u) \ w)),v5,v6). [para(994279(a,1),1094549(a,1,3))]. 1101255 a(x * R(y \ z,u,w),v5,L(v6,x,y * z)) = a(x \ R(y \ z,u,w),v5,v6). [para(83147(a,2),1100398(a,1,3)),rewrite([83147(7),1086118(6)])]. 1101265 a(x \ R(y / z,u,w),v5,v6) = a(x \ R(z \ y,u,w),v5,v6). [para(26402(a,1),1100398(a,1,3)),rewrite([1086118(6),134372(6),1101255(6)]),flip(a)]. 1101309 a(L(x,y,z) \ R(x,u,w),v5,v6) = a(L(x,y,z) * R(x,u,w),v5,v6). [para(150510(a,1),1100398(a,1,3)),rewrite([1086088(6),1083983(5),1074510(4)]),flip(a)]. 1101521 a(x,y,L(L(z,u,L(w,v5,v6)),v7,v8)) = a(x,y,L(L(z,v7,v8),u,w)). [hyper(295,a,164061,a,b,1086088,a)]. 1101522 a(x,L(y,z,u),L(w,w,y)) = L(w,L(y,z,u),x) \ w. [hyper(295,a,1009056,a(flip),b,1086088,a),flip(a)]. 1101540 a(x,y,z * (u * a(w,v5,z))) = a(x,y,L(z,v5,w) * u). [para(60809(a,1),1086088(a,1,3)),rewrite([150510(9),976313(9),1019325(8)]),flip(a)]. 1101592 a(x,y,L(L(z,u,w),z,y)) = L(L(z,y,x) \ z,u,w). [back_rewrite(1091978),rewrite([1101521(4)])]. 1101638 a(x,y,z * (u * a(w,v5,u))) = a(x,y,L(u,v5,w) * z). [back_rewrite(628045),rewrite([1101540(8)])]. 1101815 a(x,y,L(z,u,w)) \ a(a(v5,v6,v7),v8,v9) = L(a(x,y,z) \ a(a(v5,v6,v7),v8,v9),u,w). [hyper(5083,a,1082077,a,b,395254,a),rewrite([1082077(6),386756(7),81685(7),397148(6),1082368(12)]),flip(a)]. 1101827 a(x,y,L(L(z,u,w),v5,v6)) \ a(x,y,L(z,v5,v6)) = a(w,u,a(x,y,z)). [para(1082077(a,1),207(a,2,2,1)),rewrite([6706(4),1082077(4),1081548(8),1081802(14),1086619(12),974609(9)])]. 1101838 a(x,y,L(z,u,w)) \ (v5 * v5) = L(a(x,y,z) \ (v5 * v5),u,w). [para(1082077(a,2),25954(a,1,2)),rewrite([1082077(5),1082368(6),397148(9)])]. 1101915 x \ L(x,y,L(z,u,w)) = L(x \ L(x,y,z),u,w). [para(1009056(a,1),1082077(a,2,1,1)),rewrite([1094712(3),975095(5),49(5),975095(7),49(7)])]. 1102103 a(x,y,L(z,u,w)) * a(x,y,L(L(z,v5,v6),u,w)) = a(x,y,z) * a(x,y,L(z,v5,v6)). [para(1101827(a,1),68073(a,1,2)),rewrite([1084986(7),1082637(6),1084986(5),1082637(4),626373(6),1082367(5),1082077(9),1082077(8),1081632(12)]),flip(a)]. 1102118 a(x,y,L(z,u,w)) * a(x,y,L(L(z,u,w),v5,v6)) = a(x,y,z) * a(x,y,L(z,v5,v6)). [para(1101827(a,1),116975(a,1,1,1)),rewrite([1082897(6),1082897(5),1082366(4),1087056(3),1082637(3),1087056(2),1102103(6),6706(14),1101827(14),6706(11),386756(11),1087032(11)]),flip(a)]. 1102207 a(x,y,a(z,u,w)) * (v5 * a(x,y,a(z,u,w))) = v5. [para(1102118(a,2),8362(a,2,2)),rewrite([1087056(4),974609(5),1087056(8),974609(9),1087056(10),1087056(11),974609(12),974609(11),1076485(11),49(8)])]. 1102746 (x * y) * a(z,u,L(L(w,y,x),v5,v6)) = x * (y * a(z,u,L(w,v5,v6))). [para(64(a,1),1083439(a,1,2,3))]. 1102824 a(x,y,(z * u) * a(w,v5,v6)) = a(x,y,z * (u * a(w,v5,v6))). [para(1083439(a,1),72848(a,2,3)),rewrite([1086459(7),72848(6)])]. 1102914 (1 / (x * y)) * (x * (y * a(z,u,w))) = a(z,u,(x * y) * (x * (y * w))). [para(1083439(a,1),22934(a,1,2)),rewrite([1087056(12),72774(12)])]. 1103271 a(x,y,a(x,y,z) * (u * (a(x,y,z) * (u * z)))) = u * ((a(x,y,z) \ u) \ 1). [back_rewrite(831471),rewrite([1102914(9),22409(7)])]. 1103390 a(x,y,a(z,u,w) * (v5 * (a(z,u,w) * v6))) = a(x,y,v6 * v5). [para(14227(a,2),1102824(a,2,3,2)),rewrite([499092(5),547(10),394568(10),164822(12),400178(9)])]. 1103534 a(x,y,z * (u * (L(w,v5,v6) \ w))) = a(x,y,a(v6,v5,w) * (z * u)). [para(1009056(a,1),1102824(a,1,3,2)),rewrite([1029768(5),1009056(6)]),flip(a)]. 1103543 x * ((a(y,z,u) \ x) \ 1) = a(y,z,L(u,x,x)). [back_rewrite(1103271),rewrite([1103390(7),136128(3)]),flip(a)]. 1103559 a(x,y,((z * L(z,u,w)) * v5) * v6) = a(x,y,a(w,u,z) * (v6 * v5)). [back_rewrite(442881),rewrite([1103534(10)])]. 1103601 x * ((x * a(y,z,u)) \ 1) = L(a(y,z,u) \ 1,x,x). [back_rewrite(1076100),rewrite([1103543(5),1082077(4)]),flip(a)]. 1103605 a(a(x,y,z),u,a(x,y,z) * u) = a(a(x,y,z),u,u). [back_rewrite(1033471),rewrite([1103543(6),1086557(4)]),flip(a)]. 1103613 a(x,y,L(z,u,u)) \ (u * ((a(x,y,z) / u) \ 1)) = (u \ a(x,y,z)) \ (a(x,y,z) \ u). [back_rewrite(831463),rewrite([1103543(5)])]. 1103616 ((a(x,y,z) \ 1) / u) \ 1 = (1 / u) \ a(x,y,z). [back_rewrite(748807),rewrite([1103543(5),1083262(3)]),flip(a)]. 1103641 a(x,y,z * (u * (w \ L(w,v5,v6)))) = a(x,y,a(v6,v5,w) * (z * u)). [back_rewrite(309499),rewrite([1103559(5)]),flip(a)]. 1103645 a(x,y,z * ((u \ L(u,w,v5)) * v6)) = a(x,y,a(v5,w,u) * (z * v6)). [back_rewrite(306140),rewrite([1103559(5)]),flip(a)]. 1103716 a(x,y,L(z,u,u)) \ u = (a(x,y,z) / u) \ 1. [back_rewrite(785619),rewrite([1103601(5),1082368(5)])]. 1103727 1 / (a(x,y,z) \ u) = a(x,y,z) * (1 / u). [back_rewrite(1077317),rewrite([1103605(6),831990(5)]),flip(a)]. 1103765 ((x \ L(x,y,z)) * u) * (u \ (L(x,y,z) \ x)) = a(a(z,y,x),u,u). [back_rewrite(992658),rewrite([1103605(11)])]. 1103842 (a(x,y,z) / u) * (a(x,y,z) \ u) = a(a(x,y,z),u,u). [back_rewrite(605035),rewrite([1103605(9)])]. 1103861 L((1 / x) \ a(y,z,u),x,a(y,z,u)) = x * a(y,z,u). [back_rewrite(1077563),rewrite([1103616(6)])]. 1103890 a(x,y,z) \ ((1 / u) \ a(x,y,z)) = a(x,y,z) * ((a(x,y,z) / u) \ 1). [back_rewrite(832558),rewrite([1103616(7)])]. 1103936 (x \ (a(y,z,u) \ 1)) \ 1 = (x \ 1) \ a(y,z,u). [back_rewrite(440521),rewrite([1103616(6),679314(9)]),flip(a)]. 1103977 ((1 / x) \ a(y,z,u)) \ 1 = x \ (a(y,z,u) \ 1). [back_rewrite(433539),rewrite([1103616(6)])]. 1103997 a(x,y,a(z,u,w) * (v5 * w)) = a(x,y,L(w,u,z) * v5). [back_rewrite(1019324),rewrite([1103645(5),626704(3),1101540(4)]),flip(a)]. 1104043 (a(x,y,z) \ 1) / (1 / u) = (u \ a(x,y,z)) \ 1. [back_rewrite(1086549),rewrite([1103716(3),413530(7)]),flip(a)]. 1104047 (1 / x) \ (a(y,z,u) \ 1) = (a(y,z,u) / x) \ 1. [back_rewrite(1085011),rewrite([1103716(3)]),flip(a)]. 1104067 x / ((x \ a(y,z,u)) \ 1) = x * (a(y,z,u) * (1 / x)). [back_rewrite(1078267),rewrite([1103727(9)])]. 1104084 (a(x,y,z) \ u) \ 1 = a(x,y,z) * (u \ 1). [back_rewrite(1077529),rewrite([1103727(4),500662(6),1816(4),65123(5)]),flip(a)]. 1104218 (a(x,y,z) \ u) \ (u * u) = u * a(x,y,z). [back_rewrite(1077528),rewrite([1103861(6)]),flip(a)]. 1104382 ((x \ 1) \ a(y,z,u)) \ 1 = (a(y,z,u) \ 1) / x. [back_rewrite(433577),rewrite([1103936(6)])]. 1104425 (x \ 1) \ (a(y,z,u) \ 1) = (x \ a(y,z,u)) \ 1. [back_rewrite(485202),rewrite([1104043(6),413649(5)]),flip(a)]. 1104429 x \ ((a(y,z,u) / x) \ 1) = L(a(y,z,u) \ 1,x,x). [back_rewrite(1076575),rewrite([1104047(6)])]. 1104455 x * ((a(y,z,u) / x) \ 1) = a(y,z,u) \ (x * x). [back_rewrite(508925),rewrite([1104047(6),654044(5)])]. 1104570 (a(x,y,z) \ u) * (a(x,y,z) / u) = u * (a(x,y,z) \ (a(x,y,z) / u)). [back_rewrite(642893),rewrite([1104084(4),808135(7)]),flip(a)]. 1104640 (a(x,y,z) \ u) * (a(x,y,z) \ u) = u * (a(x,y,z) \ (a(x,y,z) \ u)). [back_rewrite(68035),rewrite([1104084(5),397178(6),69869(5),413070(4),398206(5)]),flip(a)]. 1104668 L(a(x,y,z) * u,a(x,y,z),u) = u * a(x,y,z). [back_rewrite(397246),rewrite([1104218(8)])]. 1104696 1 / (x * a(y,z,u)) = a(y,z,u) \ (1 / x). [back_rewrite(1077564),rewrite([1104382(6),716659(6)])]. 1104749 a(x,y,L(z,u,u)) \ (a(x,y,z) \ (u * u)) = (u \ a(x,y,z)) \ (a(x,y,z) \ u). [back_rewrite(1103613),rewrite([1104455(7)])]. 1104807 (x \ a(y,z,u)) * (a(y,z,u) \ x) = x * (a(y,z,u) \ (a(y,z,u) / x)). [back_rewrite(869254),rewrite([1104570(5),495266(6)]),flip(a)]. 1104855 (x * a(y,z,u)) \ 1 = a(y,z,u) \ (x \ 1). [back_rewrite(397259),rewrite([1104668(4)])]. 1104895 (a(x,y,z) * u) \ 1 = a(x,y,z) \ (u \ 1). [back_rewrite(891881),rewrite([1104696(4),431120(9),30824(8),432889(5)]),flip(a)]. 1105034 1 / (a(x,y,z) * u) = a(x,y,z) \ (1 / u). [back_rewrite(474971),rewrite([1104895(4),475077(6)]),flip(a)]. 1105098 x \ L(a(y,x,x) \ 1,z,u) = L(x \ 1,L(x,z,u),y). [back_rewrite(1027392),rewrite([1104855(5),1094775(5),1082077(4)])]. 1105420 ((x * y) \ x) \ L(y \ 1,L(y,z,u),x) = a(x,y,a(y,z,u)). [back_rewrite(1076235),rewrite([1105098(7)])]. 1105856 T(x * a(y,z,u),w) \ 1 = a(y,z,u) \ (T(x,w) \ 1). [para(9113(a,2),1104895(a,2,2)),rewrite([385056(3),9113(10)])]. 1105858 a(x * ((a(y,z,u) \ (w \ 1)) \ v5),v6,v7) = a((w \ (a(y,z,u) * v5)) * x,v6,v7). [para(1104895(a,1),13826(a,2,1,2,1)),rewrite([1105034(4),501661(7),967858(5)]),flip(a)]. 1105897 a(x,y,z) * (u \ a(a(x,y,z),w,v5)) = a(x,y,L(z,w,v5)) * (u \ 1). [para(1104895(a,2),62761(a,1,2,2)),rewrite([1084615(3),1104895(7),1084681(8),66271(6),1084615(7)])]. 1105910 L(x,y \ (a(z,u,w) \ v5),v6) = L(x,(y \ v5) * a(z,u,w),v6). [para(1104895(a,1),68875(a,1,2,1)),rewrite([501695(6),697510(4),394463(8)]),flip(a)]. 1105920 L(x,L(a(y,z,u) \ (w \ 1),v5,v6),v7) = L(x,L(a(y,z,u) * w,v5,v6),v7). [para(1104895(a,1),70578(a,1,2,1))]. 1105972 R(x,y,(a(z,u,w) \ v5) * v6) = R(x,y,a(z,u,w) * (v5 * v6)). [para(1104895(a,1),217015(a,1,3,1)),rewrite([839843(6),842077(8)])]. 1106237 L(x,(y * a(z,u,w)) \ v5,v6) = L(x,(y \ v5) * a(z,u,w),v6). [back_rewrite(394505),rewrite([1105910(8)])]. 1106599 (x * y) * a(z,u,L(L(w,x,y),v5,v6)) = (x * a(z,u,L(w,v5,v6))) * y. [hyper(5081,a,32795,a,b,1102746,a),rewrite([385571(6),410(6),26536(7)]),flip(a)]. 1106861 L(x,y * (z * a(u,w,L(v5,v6,v7))),v8) = L(x,a(u,w,v5) * (z * y),v8). [para(1102746(a,1),26534(a,1,2)),rewrite([1106599(10),384828(10),1084905(10)])]. 1108210 L(L(x,y,a(z,u,w) * v5) \ x,x,a(z,u,w) * (v5 * y)) = a(a(z,u,w) * v5,y,x). [hyper(5081,a,1016299,a,b,1089919,a),rewrite([1016299(4),20235(11)]),flip(a)]. 1108247 L(L(x,y * a(z,u,w),v5) \ x,x,a(z,u,w) * (y * v5)) = a(v5,y * a(z,u,w),x). [hyper(295,a,301373,a,b,1089919,a)]. 1108350 a(x * L(y,z,u),y,y) = a(y * x,y,y). [para(441980(a,1),1089919(a,1,1,1)),rewrite([979560(11),401180(9),163669(10),28115(10),1087056(7),1098217(6),1091246(6),1100404(4),1095949(3),1077068(3),72881(8)]),flip(a)]. 1108428 L(x \ K(y * x,z),x,y * L(x,u,w)) = (x * a(x * y,x,x)) \ K(y * x,z). [back_rewrite(810439),rewrite([1108350(3)]),flip(a)]. 1108491 a(a(x,y,z \ u) * w,v5,v6) = a(a(x,y,z * u) * w,v5,v6). [para(13992(a,1),1108210(a,1,1,1,3,1)),rewrite([995483(4),13992(8),995483(10),1108210(10),13992(7)]),flip(a)]. 1108608 a(a(x,y,z * u) * ((u * z) * w),v5,v6) = a(w * L((1 / z) * u,y,x),v5,v6). [back_rewrite(1071722),rewrite([1108491(6)])]. 1108619 a((x \ y) * L(L(x \ y,z,u),w,v5),v6,v7) = a((x * y) * L(L(x * y,z,u),w,v5),v6,v7). [back_rewrite(1029551),rewrite([1108491(6),1027181(6)]),flip(a)]. 1108639 a(a(x,y,z * (u \ z)) * w,v5,v6) = a(a(x,y,u) * w,v5,v6). [back_rewrite(1018709),rewrite([1108491(5)])]. 1109933 (L(x,y,z) \ u) \ (x \ u) = u \ (L(x,y,z) * (x \ u)). [hyper(295,a,21093,a,b,1079086,a),rewrite([381611(6),323(4),408(5),304768(4)]),flip(a)]. 1109994 (L(x,y,z) \ u) * L(x \ L(x,y,z),x,u) = x \ u. [hyper(5457,a,1079086,a(flip))]. 1110016 (L(x / y,z,u) \ x) \ y = x \ (y * L(y \ x,z,u)). [para(340(a,1),1079086(a,2,2)),rewrite([304580(4),28057(6),441758(6)]),flip(a)]. 1110125 L(x,L(y \ L(y,z,u),y,w) * v5,v6) = L(x,(w \ (L(y,z,u) * (y \ w))) * v5,v6). [para(1079086(a,2),97862(a,2,2,1)),rewrite([97862(7),1109933(4)]),flip(a)]. 1110158 (L(x,y,z) \ (L(x,u,w) * v5)) \ ((v5 / x) * L(x,u,w)) = L(x \ L(x,y,z),x,a(w,u,x) * v5). [para(158527(a,1),1079086(a,2,2)),rewrite([994029(5)]),flip(a)]. 1110324 (x * L(y,z,u)) \ (x * y) = (y \ x) \ (L(y,z,u) \ x). [para(1079086(a,2),437273(a,1,2)),rewrite([1109933(5),980585(6),48(6),983268(9),635963(7),983106(7)])]. 1110593 L(x,(y \ (L(z,u,w) * (z \ y))) * (z \ y),v5) = L(x,L(z,u,w) * (z \ (z \ y)),v5). [para(1079086(a,2),991010(a,2,2,1)),rewrite([991010(13),1109933(4),460130(12)])]. 1110629 (x \ y) \ (L(x,z,u) \ y) = y \ (x * (L(x,z,u) \ y)). [back_rewrite(836346),rewrite([1109933(4),51(5),979375(4),1110324(4)])]. 1110646 (x * (L(x,y,z) \ u)) \ u = u \ (L(x,y,z) * (x \ u)). [back_rewrite(304809),rewrite([1109933(8)])]. 1110702 L(x,y,z) * (u \ (x * (L(x,y,z) \ u))) = L(x,a(x,y,z),u). [back_rewrite(1100258),rewrite([1110324(5),1110629(5)])]. 1110798 R(x,y,z * (u \ (w * (L(w,v5,v6) \ u)))) = R(x,y,a(v6,v5,w) * z). [back_rewrite(1018141),rewrite([1110324(4),1110629(4)])]. 1110827 (x \ (y * (L(y,z,u) \ x))) \ w = (x \ (L(y,z,u) * (y \ x))) * w. [back_rewrite(989353),rewrite([1110324(4),1110629(4),314140(5)])]. 1110958 R(x \ (y * (L(y,z,u) \ x)),w,v5) = L(x \ (y * (L(y,z,u) \ x)),w,v5). [back_rewrite(979729),rewrite([1110324(4),1110629(4),1110324(9),1110629(9)])]. 1110989 L(x \ y,z,u) \ (x \ y) = y \ (L(x / y,z,u) \ x). [back_rewrite(978535),rewrite([1110324(6),1110629(6),162842(5),162923(5)]),flip(a)]. 1111111 (T(x,y) * z) / (x * L(z,u,w)) = x \ T(z * (L(z,u,w) \ x),y). [back_rewrite(314274),rewrite([1110324(5),1110629(5),378516(6)]),flip(a)]. 1111212 (L(x,y,z) * u) \ (x * u) = u \ (x * (L(x,y,z) \ u)). [back_rewrite(92696),rewrite([1110324(8),1110629(8)])]. 1111261 x / (y \ (z * (L(z,u,w) \ y))) = (y \ (L(z,u,w) * (z \ y))) * x. [back_rewrite(314140),rewrite([1110827(10)])]. 1111270 L(x,y,z) * (u * L(u \ (x * (L(x,y,z) \ u)),w,v5)) = a(a(z,y,x),w,v5) * (x * u). [back_rewrite(973990),rewrite([1110958(6)])]. 1111522 ((x / y) * z) \ (L(x / ((x / y) * z),u,w) \ x) = ((x / y) * (z * L(z \ y,u,w))) \ x. [back_rewrite(979810),rewrite([1110989(8)])]. 1111696 R(x,y,z) \ (L(R(x,y,z) \ x,u,w) \ x) = a(w,u,a(x,y,z)). [back_rewrite(779416),rewrite([1110989(6),287722(3)])]. 1111935 L(x / y,z,u) \ (x / y) = x \ (L(y / x,z,u) \ y). [back_rewrite(306668),rewrite([1110989(8)])]. 1111956 (L(x,y,z) * u) \ (u * x) = u \ (L(x,y,z) \ (u * x)). [back_rewrite(313470),rewrite([1111111(5),380418(4)]),flip(a)]. 1112455 a(x,a(y,z,x),z) = a(x,x,a(y,z,z)). [para(256868(a,1),1110989(a,1,1)),rewrite([1059281(4),1072211(3),394194(3),287722(5),1027909(7),397087(7),776371(6),1030361(6)]),flip(a)]. 1112529 (x * y) \ (x * (x * (L(x,z,u) \ y))) = L(L(x,z,u) \ x,x,y). [para(22926(a,1),1110989(a,2,2,1,1)),rewrite([1016742(3),724172(2),61(2),1016742(6),724172(5),61(5),1079750(6),96716(4),190771(9)]),flip(a)]. 1112745 a(x,y,z) * (R(x,y,z) \ x) = a(x,x,a(z,y,y)). [back_rewrite(1030364),rewrite([1112455(6)])]. 1112782 (x * y) \ (y * (L(y,z,u) \ (x * y))) = L(L(y,z,u) \ y,y,x). [back_rewrite(427928),rewrite([1112529(12)])]. 1112856 L(L(x,y,z) \ x,x,a(z,y,x) * u) = L(L(x,y,z) \ x,x,u). [back_rewrite(1089927),rewrite([1112782(11)])]. 1113179 L(x \ L(x,y,z),x,a(u,w,x) * v5) = L(x \ L(x,y,z),x,v5 * L(x,w,u)). [para(407301(a,1),1110016(a,2,2,2,1)),rewrite([315898(6),27446(6),426859(6),1110158(8),426711(12),670729(13)])]. 1115080 L(x \ 1,L(x,y,z),u) = L(x \ 1,x,L(u,y,z)). [hyper(295,a,70578,a(flip),b,1089983,a),rewrite([28083(10)])]. 1115093 L(R(x,y,z),L(x,u,w),v5) = L(R(x,y,z),x,L(v5,u,w)). [para(1089983(a,1),63(a,1,1)),rewrite([63(3)]),flip(a)]. 1115161 L(x \ R(x,y,z),x,L(u,w,v5)) = L(x \ R(x,y,z),x,u). [para(1089983(a,1),272623(a,1,1)),rewrite([1115093(5),272623(6),1020344(8)])]. 1115170 L(x,y,z) * L(L(x \ L(x,x,u),w,v5),y,z) = L(L(x,y,z),L(x,w,v5),u). [para(1089983(a,1),304637(a,1,2,1,2)),rewrite([1101915(4)])]. 1115171 L(L(x,y,z),L(x,u,w),v5) = L(L(x,y,z),x,L(v5,u,w)). [para(1089983(a,2),304637(a,1,2,1,2)),rewrite([1089983(3),1101915(4),1115170(6)])]. 1115290 a(x,y,a(z,u,u)) = a(z,u,a(u,y,x)). [back_rewrite(1105420),rewrite([1115080(6),991720(7)])]. 1115813 L(x \ R(x,y,z),x,u \ w) = L(x \ R(x,y,z),x,u * w). [hyper(295,a,758652,a(flip),b,1115161,a)]. 1115833 L(x \ R(x,y,z),x,(u \ w) * v5) = L(x \ R(x,y,z),x,w * (u * v5)). [para(60487(a,1),1115161(a,1,3)),rewrite([1115813(5),1115813(10)]),flip(a)]. 1115855 a((x * R(x,y,z)) * u,w,v5) = a(u * a(x,y,z),w,v5). [para(1115161(a,2),394213(a,1,1,2)),rewrite([1087056(4),985426(5),395884(4),1096699(4),151919(7)]),flip(a)]. 1115925 L(x \ R(x,y,z \ (u \ w)),x,w * (u * (z * y))) = a(x,y,z \ ((u \ 1) \ w)). [back_rewrite(934101),rewrite([1115833(9),865098(9),1115833(8)])]. 1115931 a(x,y,z \ ((u \ 1) \ w)) = a(x,y,z \ (u \ w)). [back_rewrite(699106),rewrite([1115833(12),68332(11),83104(12),51(9),1115833(8),1115925(8)])]. 1115971 a((x \ R(x,y,z)) * u,w,v5) = a(u * a(x,y,z),w,v5). [back_rewrite(151919),rewrite([1115855(8)])]. 1115978 a(x,y,z \ ((u \ K(w,v5)) \ v6)) = a(x,y,z \ (u \ v6)). [back_rewrite(614892),rewrite([1115931(10)])]. 1116084 L(x,y \ z,y \ z) = L(x,y * z,y * z). [hyper(295,a,758652,a(flip),b,1094736,a),rewrite([1006999(4)])]. 1116128 L(x,(y \ z) * u,(y \ z) * u) = L(x,z * (y * u),z * (y * u)). [para(60487(a,1),1094736(a,1,2)),rewrite([60487(6),1116084(5),1116084(10)]),flip(a)]. 1118218 L(x,y * (z \ y),(z \ y) * y) = L(x,z,z). [para(95525(a,1),1116084(a,1,2)),rewrite([95525(8),73507(9),77943(7),49(9),49(11),209136(10),209817(10),95750(10),1116128(10),83149(10),82837(9),1094736(8)])]. 1120143 L(T(x,y),z,u) * (y \ (L(x,z,u) \ (y * x))) = L(x,a(x,z,u),y * L(x,z,u)). [hyper(295,a,221277,a,b,1110702,a),rewrite([60(2),58(8),6174(6),410(6),1111956(6)])]. 1120147 L(x,a(x,y,z),u * L(x,y,z)) = L(x,a(x,y,z),u). [hyper(295,a,50010,a,b,1110702,a),rewrite([60(2),6174(5),505645(6),380418(6),1120143(7),6174(7),25262(7)])]. 1120264 L(x,y,z) \ L(x,a(x,y,z),u) = L(L(x,y,z) \ x,x,u). [para(1110702(a,1),79608(a,2,1)),rewrite([58(4),6174(2),410(2),50(2),91483(2),1079501(4),1120147(7),401781(7)]),flip(a)]. 1120771 R(x,L(L(y,z,u),w,v5),L(R(y,z,u),w,v5)) = R(x,y,y). [para(777030(a,2),1078052(a,1,2)),rewrite([777030(8),777090(7),216122(6),214143(6),204271(10),215709(9),204558(9),1078616(8)])]. 1121336 R(R(x,y,z) \ 1,x,x) = 1 / R(x,y,z). [back_rewrite(335608),rewrite([1120771(8)])]. 1122578 a(L(x,y,z) * R(x,u,w),v5,v6) = a(a(z,y,x) * a(x,u,w),v5,v6). [para(173697(a,2),1083371(a,1,1,2)),rewrite([173697(7),936315(7),1096698(7),1101265(10),281549(10),1101309(8)]),flip(a)]. 1122598 a(a(x,y,z * u) * ((u * z) \ w),v5,v6) = a(L(u * (z \ 1),y,x) \ w,v5,v6). [para(277868(a,2),1083371(a,1,1,2)),rewrite([78011(4),277868(6),277809(8)])]. 1122619 a((L(x,y,z) \ u) * a(w,v5,x),v6,v7) = a(L(L(x,y,z),v5,w) \ u,v6,v7). [para(406330(a,2),1083371(a,1,1)),rewrite([547(6),1018527(6)])]. 1122781 a(L(L(x,y,z),y,z) \ u,w,v5) = a(x \ u,w,v5). [back_rewrite(1019831),rewrite([1122619(5)])]. 1124092 a(L(x,y,L(z,u,w)) * v5,v6,v7) = a(L(x,y,z) * v5,v6,v7). [hyper(5081,a,1089856,a(flip),b,1094822,a),rewrite([1086088(9),1083524(8)]),flip(a)]. 1124093 a(x * L(y,z,L(u,w,v5)),v6,v7) = a(x * L(y,z,u),v6,v7). [hyper(5081,a,1087420,a(flip),b,1094822,a),rewrite([1087420(8)]),flip(a)]. 1124336 a(x,y,a(z,u,u)) = a(z,u,a(x,y,u)). [hyper(5081,a,763274,a,b,1115290,a),rewrite([397258(4),386756(4),973951(3),48(4),44(7),386929(4),628106(3),48(4)]),flip(a)]. 1125033 L(x,y,a(y,z,u)) * a(u,z,y) = (x / y) * (y * a(u,z,y)). [para(1124336(a,2),628637(a,1,1,1)),rewrite([1038119(2),386756(4),1025161(3),855142(3),394232(3)])]. 1125097 a(x,y,a(z,u,w)) * (a(v5,v6,a(z,u,w)) * v7) = a(z,u,w) * (a(z,u,L(L(w,y,x),v6,v5)) \ v7). [para(1086282(a,1),400273(a,1,1)),rewrite([7732(6)])]. 1125103 a(a(x,y,z),u,w) * (a(a(x,y,z),v5,v6) * v7) = a(v6,v5,a(x,y,z)) * (v7 * a(w,u,a(x,y,z))). [para(1086282(a,1),499817(a,1,1,1)),rewrite([1104855(7),386756(6),48(6),386756(5),1084978(10),1086282(15),1104855(17),386756(16),48(16),386756(15),389268(16),388135(13),7735(16),16924(17),16927(14),389268(11),388135(8),7735(11),7735(14),7735(13),1076485(12),49(9),7735(11),1102207(11),7730(6),1084978(11),389268(12),388135(9),7735(12)])]. 1125107 a(x,y,a(z,u,w)) * (v5 * a(v6,v7,a(z,u,w))) = a(z,u,w) * (a(z,u,L(L(w,y,x),v7,v6)) \ v5). [para(1086282(a,2),626472(a,2,1)),rewrite([44(9),49(6),1086282(11),561(14),7732(12),1125097(12)])]. 1125123 a(a(x,y,z),u,w) * (a(a(x,y,z),v5,v6) * v7) = a(x,y,z) * (a(x,y,L(L(z,v5,v6),u,w)) \ v7). [back_rewrite(1125103),rewrite([1125107(12)])]. 1125954 a(x,y,L((z \ 1) \ u,w,v5)) = a(x,y,L(z \ u,w,v5)). [para(1072217(a,2),1115931(a,1,3)),rewrite([784482(8),77943(8),454297(8),68874(9),398396(10),1065639(10)])]. 1126339 a(x,y,a(z,u,w)) * (L(v5 \ L(v5,v6,v7),v8,v9) * v10) = v10 * L(a(x,y,a(z,u,w)) * (v5 \ L(v5,v6,v7)),v8,v9). [hyper(5083,a,1079845,a,b,783763,a),rewrite([158527(8),395197(8),7735(14),17022(13)])]. 1126929 L(x \ L(x,y,z),u,w) * (a(v5,v6,a(v7,v8,v9)) * v10) = v10 * L(a(v5,v6,a(v7,v8,v9)) * (x \ L(x,y,z)),u,w). [hyper(295,a,7729,a,b,1126339,a),rewrite([17060(6),17086(7)])]. 1127037 x * ((L(x,y,z) * (x \ L(x,y,z))) \ u) = (L(x,y,z) * L(x \ 1,y,z)) \ u. [para(1126929(a,2),66988(a,2,1)),rewrite([388127(14),1079251(11),48(11),81685(12),113591(13),388127(12),1079251(9),1080580(9),7733(10),163060(9),113605(8),7727(12),227483(11),226188(10),406968(8),188068(6),350965(8),1125123(12),1082637(4),51(10),17060(18),1125097(17),1082637(13),51(15),1080939(13)])]. 1127053 L(x,y \ L(z \ L(z,u,w),v5,v6),v7) = L(x,y * L(z * L(z,u,w),v5,v6),v7). [para(1126929(a,1),28126(a,2,2)),rewrite([388187(7),985546(14),21156(12),394205(10),28818(8),21258(13),629422(10)])]. 1127067 L(x,y \ L(L(z,u,w) \ z,v5,v6),v7) = L(x,y * L(z * L(z,u,w),v5,v6),v7). [back_rewrite(1093693),rewrite([1127053(10)])]. 1127174 a(x,y,L(z,u,u)) \ (u \ 1) = u \ (a(x,y,z) \ 1). [para(1104429(a,1),219(a,1,2,1)),rewrite([26414(10),28083(8),60(7),293938(6),1082368(7),403185(9),1103977(11),51(10),293938(9)])]. 1127305 (x \ (1 / x)) / (x \ a(y,z,u)) = x \ (a(y,z,u) \ 1). [para(1104429(a,1),333066(a,2,2)),rewrite([413529(9),1082368(13),1127174(11)])]. 1127640 (x * x) / ((x \ 1) \ a(y,z,u)) = (x \ a(y,z,u)) \ 1. [hyper(5081,a,68073,a,b,1127305,a),rewrite([68073(6),1104425(6),337(10),61612(7)]),flip(a)]. 1127701 (x \ K(y,z)) \ (a(u,w,v5) \ 1) = K(z,y) / (a(u,w,v5) / x). [para(1127305(a,2),31968(a,1,2)),rewrite([337(7),61612(4),1127640(7),413651(6)]),flip(a)]. 1127727 L(x \ 1,y,z) * ((x \ a(u,w,v5)) \ 1) = x \ (a(u,w,v5) \ L(x,y,z)). [para(1127305(a,2),158007(a,1,2)),rewrite([337(9),61612(6),1127640(9),400695(14)])]. 1127835 a(x,y,L(L(z,u,w),v5,v6)) \ (a(x,y,z) \ 1) = a(x,y,z) \ L(L(a(x,y,z) \ 1,u,w),v5,v6). [para(1086282(a,1),1127305(a,1,2)),rewrite([6706(8),1082077(8),1082077(7),388790(15),6706(12),386756(12),400742(12),1101815(11),1101815(10),398601(9),1076542(10),1082368(10),400742(11),1101815(10),398601(9),1076542(10),397148(9)]),flip(a)]. 1128090 a(a(x,y,z),u,w) * (v5 * v6) = v5 * (a(w,u,a(x,y,z)) * v6). [para(1127174(a,2),91529(a,1,1,1)),rewrite([83591(9),1087056(6),985426(7),626561(6),1082629(7),48(5),1086557(4),7727(4),1110989(12),336(8),1087056(7),1086619(9),324(8),7732(8)])]. 1128319 x * L(x \ L(x,y,z),u,w) = L(x,y,L(z,u,w)). [hyper(5457,a,1101915,a)]. 1128349 L(L(x \ L(x,y,z),u,w),v5,L(v6,v7,v8)) = L(L(x \ L(x,y,z),v5,v6),u,w). [hyper(7088,a,1101915,a(flip),b,1079251,a(flip)),rewrite([6174(9),408211(8),323(6),408(7),305327(16),304101(14),974415(13),58(12),547(11),1087056(11),395250(11),1087056(11),395250(11),1079275(11),81685(11),973881(10)])]. 1128376 x \ L(x \ L(x,y,z),u,w) = L(x \ 1,y,L(z,u,w)). [hyper(5083,a,1101915,a(flip),b,740843,a),rewrite([304580(6),324(3),48(3),1086088(13),251008(12),1094034(12),49(10),591909(10),501960(10),464114(8),476971(7),214198(7),48(8)])]. 1128381 L(x,y,z) \ L(x \ L(x,u,w),v5,v6) = x \ (L(x,y,z) \ L(x,u,L(w,v5,v6))). [hyper(5083,a,1101915,a(flip),b,159410,a)]. 1128440 x * L(x,y,L(z,u,w)) = L(x * L(x,y,z),u,w). [para(1101915(a,1),68073(a,1,2)),rewrite([25954(5),68073(4),81670(4),81670(8)]),flip(a)]. 1128496 L(x \ L(x,y,z),u,z) = x \ L(x,y,z). [para(101893(a,1),1101915(a,1,2,3)),rewrite([209136(4),209344(4)]),flip(a)]. 1128521 L(x,y,L(z,u,w)) \ x = L(L(x,y,z) \ x,u,w). [para(1101915(a,1),346450(a,1,1,2)),rewrite([629496(7),1128381(6),323(5),51(3),324(5),1101915(7),1080676(8),48(8)])]. 1128526 L(x \ L(x,y,z),u,w) * L(x,v5,v6) = L(x,y,L(z,u,w)) * (x \ L(x,v5,v6)). [para(1101915(a,1),350965(a,1,1))]. 1128545 x * L(L(y \ L(y,z,u),w,v5),y,x) = L(y,z,L(u,w,v5)) * (y \ x). [para(1101915(a,1),406028(a,1,2,1))]. 1128547 L(x \ L(x,y,z),u,w) * a(v5,v6,v7) = L(x,y,L(z,u,w)) * (x \ a(v5,v6,v7)). [para(1101915(a,1),457477(a,1,1))]. 1128549 L(x \ L(x,y,z),u,w) * R(x,v5,v6) = L(x,y,L(z,u,w)) * (x \ R(x,v5,v6)). [para(1101915(a,1),460099(a,1,1))]. 1128687 L(a(x,y,a(z,u,w)) * w,u,z) = L(w,u,L(z,y,x)). [back_rewrite(1081195),rewrite([1128319(8)])]. 1128703 L(x,y,L(z,u,w)) \ (L(x,y,z) * v5) = v5 * a(a(z,y,x),u,w). [back_rewrite(1081016),rewrite([1128319(4)])]. 1128748 (L(x,y,z) \ u) * a(a(z,y,x),w,v5) = L(x,y,L(z,w,v5)) \ u. [back_rewrite(1080945),rewrite([1128319(4)]),flip(a)]. 1128763 (x / L(y,z,u)) * L(y,z,L(u,w,v5)) = a(v5,w,a(u,z,y)) * x. [back_rewrite(1080710),rewrite([1128319(6)])]. 1128794 x \ L(L(x,y,z) \ x,u,w) = L(x,y,L(z,u,w)) \ 1. [back_rewrite(1079657),rewrite([1128319(4)]),flip(a)]. 1128814 L(a(a(x,y,z),u,w) * z,y,x) = L(z,y,L(x,u,w)). [back_rewrite(974123),rewrite([1128319(8)])]. 1128895 x * L(L(y \ L(y,z,u),y,x),w,v5) = L(y,z,L(u,w,v5)) * (y \ x). [back_rewrite(671267),rewrite([1128319(4)]),flip(a)]. 1129014 L(x \ L(x,y,z),u,w) * x = L(x,y,L(z,u,w)). [back_rewrite(188110),rewrite([1128319(8)])]. 1129110 L(x \ a(a(y,z,x),u,w),z,y) = L(x \ 1,z,L(y,u,w)). [back_rewrite(974037),rewrite([1128376(8)])]. 1129244 (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6) = L(x,y,z) \ L(x,u,L(w,v5,v6)). [back_rewrite(629496),rewrite([1128381(11),51(12)])]. 1129333 a(x,y,L(L(z,z,y),u,w)) = L(L(z,y,x) \ z,u,w). [back_rewrite(1094712),rewrite([1128521(6)])]. 1129374 L(x,y,z) \ a(a(z,y,x),u,w) = L(x,y,L(z,u,w)) \ 1. [back_rewrite(1080702),rewrite([1128526(6),158113(7),309986(6)]),flip(a)]. 1129422 L(x,y,z) \ L(x,u,L(w,y,z)) = x * L(L(x,y,z) \ 1,u,w). [back_rewrite(1015301),rewrite([1128547(7),1015581(6),310397(6)])]. 1129546 x / L(x * L(x,y,z),u,w) = L(x,y,L(z,u,w)) \ 1. [back_rewrite(1090014),rewrite([1128794(8)])]. 1129581 (x \ 1) * L(L(x,y,z) \ x,u,w) = L(x,y,L(z,u,w)) \ 1. [back_rewrite(340958),rewrite([1128794(10)])]. 1129706 x \ (L(x,y,L(z,u,w)) \ 1) = L(x \ (L(x,y,z) \ 1),u,w). [back_rewrite(974367),rewrite([1129374(4)])]. 1129829 (L(x,y,z) \ 1) * L(L(x,u,w) \ x,y,z) = L(L(x,u,w),y,z) \ 1. [hyper(295,a,1095290,a(flip),b,1128794,a),rewrite([1079749(7),1038595(10)])]. 1129867 x \ L(L(L(x,y,z) \ x,u,w),v5,v6) = L(x,y,L(L(z,u,w),v5,v6)) \ 1. [para(63(a,2),1128794(a,2,1,3)),rewrite([209136(2),1128521(3),63(7),209955(8)])]. 1129927 R(x,y,z) * L(L(x,u,w) \ x,v5,v6) = x * (L(x,u,L(w,v5,v6)) \ R(x,y,z)). [para(1128794(a,1),62761(a,1,2,2)),rewrite([283189(6)]),flip(a)]. 1129938 L(x,L(y,z,L(u,w,v5)),v6) = L(x,L(y,z,u),v6). [para(1128794(a,1),28032(a,2,2)),rewrite([1127067(7),27294(7),1090197(5),28083(7)]),flip(a)]. 1129972 L(x,y,z) * L(L(x,u,w) \ x,v5,v6) = x * (L(x,u,L(w,v5,v6)) \ L(x,y,z)). [para(1128794(a,1),158113(a,1,2,2)),rewrite([310397(6)]),flip(a)]. 1130251 x * (L(x,y,L(z,u,w)) \ R(x,u,w)) = L(1 / R(x,u,w),y,z) \ 1. [back_rewrite(1080254),rewrite([1129927(5)])]. 1130310 x * (L(x,y,L(z,u,w)) \ L(x,u,w)) = L(1 / L(x,u,w),y,z) \ 1. [back_rewrite(1080253),rewrite([1129972(5)])]. 1130496 L(L(x,y,z) \ x,u,w) * L(x,v5,v6) = x * (L(x,y,L(z,u,w)) \ L(x,v5,v6)). [para(1128521(a,1),310694(a,1,1))]. 1130757 L(R(x,y,z) \ x,u,L(w,v5,v6)) = L(R(x,y,z) \ x,u,w). [hyper(5081,a,820764,a,b,1128319,a),rewrite([820764(4),304101(12),776371(12),779077(11),51(10),1087056(9),395250(9),778098(9),779403(9)])]. 1130758 L(x \ R(x,y,z),u,L(w,v5,v6)) = L(x \ R(x,y,z),u,w). [hyper(5081,a,820042,a,b,1128319,a),rewrite([820042(4),304101(12),779198(11),50(10),1087056(9),395250(9),301724(9),779400(9)])]. 1130763 L(x * L(x,y,z),u,L(w,v5,v6)) = L(x * L(x,y,z),u,w). [hyper(5081,a,629611,a,b,1128319,a),rewrite([629611(4),974395(12),1087056(9),395250(9),7733(9),81685(8),1128814(8),1128440(7)])]. 1130774 x * L(L(x \ L(x,y,z),u,w),v5,v6) = L(x,y,L(L(z,u,w),v5,v6)). [hyper(5081,a,210014,a,b,1128319,a),rewrite([210014(4),1101915(6)]),flip(a)]. 1130786 L(x,L(y,z,u),L(L(y,z,u),w,v5)) = L(x,y,L(y,w,v5)). [hyper(5081,a,150510,a(flip),b,1128319,a),rewrite([391450(7),1101915(8),1101915(7),1079242(9),1128319(8)])]. 1130971 L(x,y,L(z,u \ w,v5)) = L(x,y,L(z,w * u,v5)). [para(26514(a,1),1128319(a,1,2)),rewrite([1014396(4),1128319(5),26514(6)]),flip(a)]. 1130984 a(x * L((1 / y) * z,u,w),v5,v6) = a(x * L(y * z,u,w),v5,v6). [para(1128319(a,1),46695(a,2,1,2)),rewrite([1018336(10),47051(7),1108608(6),1124093(11)])]. 1131155 L(x,y,L(L(z \ L(z,u,w),v5,v6),v7,v8)) = L(x,y,a(w,u,z)). [para(305737(a,2),1128319(a,2,3)),rewrite([985546(4),394194(3),1087056(3),1087056(2),974609(3),394232(3),305737(8)]),flip(a)]. 1131171 L(x,L(y,z,u),L(y,w,v5)) = L(x,y,L(L(y,z,u),w,v5)). [para(150510(a,1),1128319(a,1,2,1,2)),rewrite([1101915(3),1130774(5)]),flip(a)]. 1131235 L(x,y,L(z,x,y)) = a(z,y,x) \ x. [para(1016215(a,1),1128319(a,1,2)),rewrite([397148(4)]),flip(a)]. 1131526 L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)) = L(x,y,a(w,u,z)). [back_rewrite(1093657),rewrite([1131155(10)])]. 1132055 K(x * x,y) * ((x \ T(L(x,z,u) * L(x,z,u),y)) \ (x \ w)) = L(x,z,u) \ (L(x,z,u) \ w). [hyper(5083,a,8936,a,b,1095607,a),rewrite([376474(6),13654(4),376474(5),571754(12),487442(11),407339(7)])]. 1132148 a(x * (y * (L(y,z,u) \ (L(y,z,u) \ w))),v5,v6) = a((y \ w) * x,v5,v6). [para(1095607(a,1),24885(a,2,1,2)),rewrite([28057(7),28083(7),46992(10),46976(10),24258(7),13786(8),22966(14)])]. 1132286 L(x,y * L((z \ 1) * u,z,z),a(w,v5,v6)) = L(x,y * (z \ u),a(w,v5,v6)). [para(1095607(a,1),784525(a,2,2,2)),rewrite([1019612(10),1131171(6),994702(6),784525(7),173801(4),25862(15)])]. 1132765 (L(1 / x,y,z) \ 1) * (x \ u) = x * (L(x,y,z) \ u). [hyper(5081,a,76705,a,b,1097647,a),rewrite([576990(8),5784(7),340(12)]),flip(a)]. 1132809 (L(x,y,z) * (x \ L(x,y,z))) \ u = x * (L(x,y,z) \ (L(x,y,z) \ u)). [hyper(5083,a,1097647,a(flip),b,69321,a),rewrite([162681(5),66364(12),158527(9),188068(7),350965(9)]),flip(a)]. 1132866 L(x,L(y,z,u) * (y \ w),v5) = L(x,y * (L(y,z,u) \ w),v5). [para(1097647(a,1),25672(a,2,2)),rewrite([57375(9),68878(8),70109(6)])]. 1133188 x * L(x \ (y * (L(y,z,u) \ x)),w,v5) = y * (L(y,z,L(u,w,v5)) \ x). [para(1097647(a,1),781133(a,2,2,1,2)),rewrite([1110629(8),159097(7),324(6),382630(5),1129581(6),1097647(8),1110958(9)]),flip(a)]. 1133265 L(x,y,z) * (L(L(x,y,z),u,w) \ x) = x * L(L(x,u,w) \ x,y,z). [back_rewrite(1080024),rewrite([1132765(9)])]. 1133267 x * (x * (L(x,y,z) \ (L(x,y,z) \ u))) = (L(x,y,z) * L(x \ 1,y,z)) \ u. [back_rewrite(1127037),rewrite([1132809(5)])]. 1133280 T(x / (L(y,z,u) * (y \ L(y,z,u))),y) = y * (L(y,z,u) \ (L(y,z,u) \ x)). [back_rewrite(861289),rewrite([1132809(11)])]. 1133323 L(x,(y \ (L(z,u,w) * (z \ y))) * (z \ y),v5) = L(x,L(z,u,w) \ y,v5). [back_rewrite(1110593),rewrite([1132866(12),354134(10),51(11)])]. 1133604 x * (L(x,y,z) * (L(x,y,L(z,u,w)) \ v5)) = a(a(z,y,x),u,w) * (x * v5). [back_rewrite(1111270),rewrite([1133188(7),158808(6)])]. 1133609 L(x \ (y * (L(y,z,u) \ x)),w,v5) * x = y * (L(y,z,L(u,w,v5)) \ x). [back_rewrite(314041),rewrite([1133188(12)])]. 1133737 (x * a(y,z,u)) \ K(w,v5) = a(y,z,u) \ (x \ K(w,v5)). [hyper(5142,a,1104855,a(flip),b,31701,a),rewrite([9510(6),95645(6)]),flip(a)]. 1133870 (x * (L(y,z,u) \ y)) \ 1 = (y \ L(y,z,u)) * (x \ 1). [para(1009056(a,1),1104855(a,1,1,2)),rewrite([1009056(7),975095(10)])]. 1133882 L(x \ K(y * x,z),x,y * L(x,u,w)) = L(K(x * y,z) / x,x,y). [back_rewrite(1108428),rewrite([1133737(12),646032(12),809555(12),760886(11)])]. 1133953 1 / (x * (L(y,z,u) \ y)) = (1 / x) * (y \ L(y,z,u)). [back_rewrite(475082),rewrite([1133870(5),950466(7)]),flip(a)]. 1133964 ((x * y) * L(y,z,u)) \ T(x * L(y,z,u),w) = L(K(y * x,w) / y,y,x). [back_rewrite(441980),rewrite([1133882(6)]),flip(a)]. 1134178 L(x \ L(x,y,z),x,u * L(x,w,v5)) = L(x \ L(x,y,z),x,u). [para(1133964(a,1),304101(a,1,1)),rewrite([1133964(11),305327(10),304580(8),5754(5),40223(5),26458(7),38453(6),77(5),49(2),401975(16),402675(14),402098(11)]),flip(a)]. 1134417 L(x \ L(x,y,z),x,a(u,w,x) * v5) = L(x \ L(x,y,z),x,v5). [back_rewrite(1113179),rewrite([1134178(10)])]. 1134458 L(x \ L(x,y,z),x,L(x,u,w) \ v5) = L(x \ L(x,y,z),x,v5). [back_rewrite(994085),rewrite([1134417(10)])]. 1134512 T(x * a(y,z,u),w) \ K(v5,v6) = a(y,z,u) \ (T(x,w) \ K(v5,v6)). [hyper(5083,a,1133737,a(flip),b,8936,a),rewrite([384540(3),5754(6),397223(6)]),flip(a)]. 1134546 (a(x,y,z) \ u) \ K(w,v5) = (u \ K(w,v5)) * a(x,y,z). [para(50481(a,2),1133737(a,1,1)),rewrite([385118(4),561(2),6706(3),397148(4),413070(9),398895(11),50(12)])]. 1134730 T(T(x * a(y,z,u),w),v5) \ 1 = a(y,z,u) \ (T(T(x,w),v5) \ 1). [back_rewrite(386136),rewrite([1134512(6),225(5,R)]),flip(a)]. 1134775 1 / T(x * a(y,z,u),w) = a(y,z,u) \ (1 / T(x,w)). [back_rewrite(388215),rewrite([1134730(8),682974(5),71379(7)]),flip(a)]. 1135037 (x * x) / (y * a(z,u,w)) = a(z,u,w) \ ((x * x) / y). [para(1104696(a,1),231281(a,2,2)),rewrite([49(3),397639(10)])]. 1135193 a(x,y,L(z,u,w)) \ (a(x,y,z) \ (v5 * v5)) = a(x,y,z) \ L(a(x,y,z) \ (v5 * v5),u,w). [para(11009(a,1),1135037(a,1,2)),rewrite([1084615(4),413100(6),1084615(10),6706(11),1101838(11)])]. 1135359 ((x * x) / y) * (a(z,u,w) * (1 / ((x * x) / y))) = (a(z,u,w) / y) / (y \ 1). [para(1135037(a,2),813646(a,1,1,2)),rewrite([1135037(8),1104807(9),495560(9),808137(11),508455(9),1104067(14)]),flip(a)]. 1135364 (a(x,y,z) / u) / (u \ 1) = u * ((1 / u) * a(x,y,z)). [para(1135037(a,2),831488(a,1,1,2)),rewrite([1135037(8),1104807(9),495560(9),831968(11),66419(8),818416(7),73648(5),385521(5),1103727(13),1135359(14)]),flip(a)]. 1135410 (x \ a(y,z,u)) \ (a(y,z,u) \ x) = a(y,z,u) \ (x * (a(y,z,u) \ x)). [back_rewrite(1104749),rewrite([1135193(6),621503(5)]),flip(a)]. 1135426 ((x \ 1) \ a(y,z,u)) / x = x * ((1 / x) * a(y,z,u)). [back_rewrite(508591),rewrite([1135364(10)])]. 1136070 L(R(x,y,z) \ x,u,a(w,v5,v6)) = R(x,y,z) \ x. [para(272623(a,2),1076483(a,1,2)),rewrite([272623(7),395884(5),812653(4),48(4),812653(6),48(6)]),flip(a)]. 1136284 (L(x,y,z) \ x) * a(u,w,v5) = x * (L(x,y,z) \ a(u,w,v5)). [hyper(7088,a,1079468,a,b,397148,a),rewrite([385657(8),408(6),395874(11),397087(10)]),flip(a)]. 1136455 L(L(x * (y \ x),z,u) \ (x * (y \ x)),y,y) = L((y \ x) * x,z,u) \ ((y \ x) * x). [hyper(295,a,1118218,a(flip),b,1079468,a),rewrite([505168(18),340811(17)])]. 1136457 a(x,y,a(y,z,u)) * (L(y,z,u) \ y) = L(L(y,z,u) \ y,y,x). [hyper(295,a,1038564,a(flip),b,1079468,a),rewrite([984035(6),1112856(5),975095(6),975095(10),855084(11),855056(10),51(8),975799(9)]),flip(a)]. 1136503 x * L(L(L(y,z,u) \ y,y,x),w,v5) = y * (L(y,z,L(u,w,v5)) \ x). [para(1079468(a,2),207(a,2,2,1)),rewrite([313682(4),1133609(6)]),flip(a)]. 1136535 (x * y) * (x \ (y * (L(y,z,u) \ x))) = x * (y * (L(y,z,u) \ y)). [para(1079468(a,1),380(a,1,2))]. 1136539 (x * y) * (y \ (x * (L(x,z,u) \ y))) = x * (x * (L(x,z,u) \ y)). [para(1079468(a,1),24258(a,1,2)),rewrite([443019(10),410(11),1098114(10)])]. 1136578 L((x \ (L(y,z,u) * (y \ x))) * w,a(u,z,y),x) = (y * (L(y,z,u) \ x)) \ (x * w). [para(1079468(a,2),60487(a,1,2)),rewrite([1110827(5),983275(9)])]. 1136653 L(L(x,y,z) \ x,x,u) * u = x * (L(x,y,z) \ u). [para(1079468(a,2),2412(a,2,1)),rewrite([372457(8),427858(8),375084(7),418326(7),801(5),73(5),948(4),319(5),49(5)]),flip(a)]. 1136673 L(L(x,y,z) \ x,x,u) * (L(u \ (x * (L(x,y,z) \ u)),w,v5) \ v6) = v6 * a(a(z,y,x),w,v5). [para(1079468(a,1),162924(a,2,2,1,1)),rewrite([162924(9),1079191(8),1093548(9)]),flip(a)]. 1136699 (x * y) / (z * (L(z,u,w) \ y)) = (z * (L(z,u,w) \ y)) \ (y * x). [para(1079468(a,2),204224(a,1,2)),rewrite([313682(4),1111261(5),1093676(9),1136578(7)]),flip(a)]. 1136758 L(x \ (y * (L(y,z,u) \ x)),w,v5) \ (y * (L(y,z,u) \ x)) = x * a(a(u,z,y),w,v5). [para(1079468(a,2),162923(a,1,1)),rewrite([1136673(10),313682(7)]),flip(a)]. 1136801 (x \ L(y,z,u)) \ (y * (L(y,z,u) \ (x \ L(y,z,u)))) = L(L(y,z,u) \ y,y,x). [para(437052(a,2),1079468(a,2,2,2)),rewrite([26402(7),439778(7),1079505(7),83149(7),1131171(5),994702(5),1014397(4),800239(15),1111212(11)]),flip(a)]. 1136821 L(L(x,y,z) \ x,x,u * L(x,y,z)) = L(L(x,y,z) \ x,x,u). [para(402372(a,1),1079468(a,2,2,2)),rewrite([25262(8),26402(5),1014398(5),800278(16),1136801(13)])]. 1136832 x * ((L(x,y,z) \ u) * L(L(x \ L(x,y,z),w,v5),x,u)) = u * a(a(z,y,x),w,v5). [para(1079468(a,2),504347(a,1,2,1)),rewrite([1079873(8),626172(8),313682(12),1136758(17)])]. 1137589 x \ T(((y \ L(y,z,u)) * w) * x,v5) = (y \ L(y,z,u)) * (x \ T(w * x,v5)). [para(562240(a,1),1136699(a,2,2)),rewrite([565384(6),976304(8),964190(7),353165(7),976314(13),458608(12),552890(13),950111(13)]),flip(a)]. 1138089 (L(x,y,z) \ x) * (L(u,w,v5) \ u) = x * (L(x,y,z) \ (L(u,w,v5) \ u)). [para(1009056(a,1),1136284(a,1,2)),rewrite([1009056(8)])]. 1138668 L((x * (L(x,y,z) \ x)) \ u,w,v5) = L(((x \ u) / x) * L(x,y,z),w,v5). [hyper(5083,a,1136535,a,b,207,a(flip)),rewrite([1136535(24),207(12),24474(12),975095(9),56(13),983866(8),627098(7),984479(7)]),flip(a)]. 1138808 (x * y) * (K(z,u) * (x \ (y * (L(y,w,v5) \ x)))) = x * (L(1 / y,w,v5) \ K(z,u)). [hyper(295,a,9566,a(flip),b,1136535,a),rewrite([27446(8),7725(9),5784(8),41109(16),27446(14),7726(16),162956(15),32394(16),159097(14),91472(14),989842(13),837932(13)])]. 1139141 L(x,y,z) * (L(x,y,z) * (L(L(x,y,z),u,w) \ v5)) = (L(1 / L(x,y,z),u,w) \ 1) * v5. [para(2195(a,1),1136535(a,1,1)),rewrite([163614(9),1136539(9),1079749(15),96716(13),987626(13),1130496(12),1130310(12),410(15)])]. 1139155 x * (L(L(x,y,z),u,w) \ 1) = L(L(x,u,w),y,z) \ x. [para(159097(a,1),1136535(a,1,1)),rewrite([162882(11),1133265(7),50(7),1080028(6),1110989(14),336(10),1079749(11),324(11),1129829(10)]),flip(a)]. 1139205 R(x,y,z * (u * (L(u,w,v5) \ u))) = R(x,y,a(v5,w,u) * (z * u)). [para(1136535(a,1),217015(a,2,3)),rewrite([1110798(9),217065(6)]),flip(a)]. 1139492 R(x,y,a(z,u,w) * (v5 * w)) = R(x,y,v5 * L(w,u,z)). [para(1136535(a,1),216863(a,2,3)),rewrite([1138808(8),848229(7),848591(5),1139205(8)]),flip(a)]. 1140034 L(L(L(x,y,z) \ x,u,w),x,v5) * v5 = x * (L(x,y,L(z,u,w)) \ v5). [hyper(5083,a,1136653,a(flip),b,643472,a),rewrite([975332(3),386756(6),7733(6),1128748(5),975332(10),386756(10),988146(11)]),flip(a)]. 1140049 L(x,y,z) * (L(L(x,y,z),u,w) \ v5) = x * (L(x,u,L(w,y,z)) \ v5). [hyper(295,a,1095290,a,b,1136653,a(flip)),rewrite([1095290(8),162882(9),1110989(13),336(9),1079749(10),324(10),28083(12),1079446(10),1140034(10)])]. 1140114 L(x,y,z) * (L(L(T(x,u),y,z),w,v5) \ v6) = x * (L(T(x,u),w,L(v5,y,z)) \ v6). [para(1136653(a,2),49057(a,1,2)),rewrite([1079749(7),96716(5),27485(7),1079446(6),1140034(6),9138(6),11208(5)]),flip(a)]. 1140115 (L(L(x,y,z),u,w) \ v5) * L(x,y,z) = (L(x,u,L(w,y,z)) \ v5) * x. [para(1136653(a,2),13542(a,1,2)),rewrite([378475(4),378475(3),1079749(6),1079446(7),1140034(7),9138(7),11208(6),408557(5),410(5)]),flip(a)]. 1140128 a(x,y,L(z,u,w) * (z \ v5)) = a(x,y,z * (L(z,u,w) \ v5)). [para(1136653(a,1),72848(a,2,3)),rewrite([1079275(5),49(5),457478(4)])]. 1140199 L(L(x,y,z) \ x,x,u) * (L(x,y,L(z,w,v5)) * (x \ u)) = u * a(a(z,y,x),w,v5). [para(1136653(a,1),162681(a,1,2)),rewrite([1079191(8),626172(8),1136832(8),1079191(11),1128545(11)]),flip(a)]. 1140201 a(a(x,y,z),u,w) * (z * v5) = z * (v5 * a(a(w,u,z),y,x)). [para(162924(a,1),1136653(a,2,2)),rewrite([1079749(4),1079446(7),1140034(9),1128703(5),1140049(10),158808(10),1133604(10)]),flip(a)]. 1140262 (L(x,y,z) \ x) * L(L(x,u,w),y,z) = L(x,u,L(w,y,z)). [para(305594(a,1),1136653(a,2,2)),rewrite([1014397(5),1014397(4),975458(3),1128319(9)])]. 1140287 (L(x,y,z) \ x) * (a(u,w,v5) \ L(x,y,z)) = a(u,w,v5) \ x. [para(397070(a,1),1136653(a,2,2)),rewrite([83407(6),1136821(6),395874(4),397148(10)])]. 1140308 L(L(x,y,z),u,w) \ (v5 * L(x,y,z)) = L(x,u,L(w,y,z)) \ (v5 * x). [para(1136653(a,2),376708(a,2,1)),rewrite([372987(7),416438(7),416438(6),506336(7),1079749(9),1079446(10),1140034(10),380418(10)])]. 1140387 a(x * (L(y,z,u) * (y \ w)),v5,v6) = a(x * (y * (L(y,z,u) \ w)),v5,v6). [para(1136653(a,1),758229(a,1,1,2,1)),rewrite([985549(10),784027(8),784482(7),981999(7),400178(6),1079275(9),457478(9)]),flip(a)]. 1140475 x * (L(x,y,z) * (L(x,u,L(w,y,z)) \ v5)) = (L(1 / L(x,y,z),u,w) \ 1) * v5. [back_rewrite(1139141),rewrite([1140049(6),158808(6)])]. 1140561 L(L(x,y,z),u,w) \ (x \ L(x,y,z)) = L(x,u,L(w,y,z)) \ 1. [back_rewrite(163050),rewrite([1140049(7),354134(5),1129706(5),1080317(6),1129546(4)]),flip(a)]. 1140619 L(L(T(x,y),z,u),w,v5) \ (L(x,z,u) * v6) = x * (L(T(x,y),w,L(v5,z,u)) \ v6). [back_rewrite(662092),rewrite([1140114(12)])]. 1140625 a(x,y,x * (L(x,z,u) \ w)) = a(x,y,x * (L(x,z,u) * w)). [back_rewrite(1094037),rewrite([1140128(4)])]. 1140701 a(x * (y * (L(y,z,u) \ R(y,w,v5))),v6,v7) = a(a(u,z,y) * (x * R(y,w,v5)),v6,v7). [back_rewrite(1019787),rewrite([1140387(6)])]. 1140777 L(L(L(x,y,z),y,z) \ 1,y,z) = L(x,y,z) \ 1. [back_rewrite(1081321),rewrite([1140561(5),209344(2)]),flip(a)]. 1140829 L(x,y,z) * (x \ L(x,y,z)) = L(L(x,y,z),y,z). [back_rewrite(1081323),rewrite([1140777(7),487119(6),91483(2),975095(4),350965(4)])]. 1140839 x * (L(x,y,z) \ (L(x,y,z) \ u)) = L(L(x,y,z),y,z) \ u. [back_rewrite(1133280),rewrite([1140829(4),118295(4)]),flip(a)]. 1140900 x * (L(x,y,z) * L(1 / x,y,z)) = L(L(L(x,x,x),y,z),y,z). [back_rewrite(861236),rewrite([1140829(4),139949(5),139949(4),706(3),60(4),60(3),413(2)]),flip(a)]. 1140911 L(x,y,z) \ (L(x,y,z) \ x) = L(L(x,y,z),y,z) \ 1. [back_rewrite(861191),rewrite([1140829(5),996817(4)]),flip(a)]. 1140932 L(x,y,z) * L(x,y,z) = x * L(L(x,y,z),y,z). [back_rewrite(406935),rewrite([1140829(4),412589(5)]),flip(a)]. 1140961 (L(x,y,z) * L(x \ 1,y,z)) \ u = x * (L(L(x,y,z),y,z) \ u). [back_rewrite(1133267),rewrite([1140839(5)]),flip(a)]. 1140966 a(x * (L(L(y,z,u),z,u) \ w),v5,v6) = a((y \ w) * x,v5,v6). [back_rewrite(1132148),rewrite([1140839(5)])]. 1140997 x * (L(y,z,u) * L(y \ 1,z,u)) = (L(L(y,z,u),z,u) \ y) \ x. [back_rewrite(380355),rewrite([1140911(4),1139155(5),989519(4)]),flip(a)]. 1140998 (L(x,y,z) * L(x \ 1,y,z)) * u = (L(L(x,y,z),y,z) \ x) \ u. [back_rewrite(380350),rewrite([1140911(4),1139155(5)]),flip(a)]. 1140999 x * (L(L(y,z,u),z,u) \ y) = y * (L(L(y,z,u),z,u) \ x). [back_rewrite(380347),rewrite([1140911(4),1139155(5),1140961(10)])]. 1141124 L(x,L(L(y,z,u),z,u),w) = L(x,y,w). [back_rewrite(502780),rewrite([1140900(6),737804(4)])]. 1141163 x * ((x * L(L(x,y,z),y,z)) \ u) = (L(L(x,y,z),y,z) \ 1) * u. [back_rewrite(163060),rewrite([1140911(4),1140932(8)]),flip(a)]. 1141165 L(L(L(L(x,y,z),y,z) \ 1,u,w),y,z) = L(L(x,y,z) \ 1,u,w). [back_rewrite(149183),rewrite([1140911(4)])]. 1141322 L(L(x,y,z),y,z) \ (x \ u) = L(x,y,z) \ (L(x,y,z) \ u). [back_rewrite(1132055),rewrite([1140932(5),664075(7),664075(6),158091(6),148208(9),5784(10)])]. 1141525 x \ (L(y,z,u) * (y \ L(1 / y,z,u))) = (x \ y) * (y \ L(L(1 / y,z,u),z,u)). [back_rewrite(705390),rewrite([1140932(8),63914(8)]),flip(a)]. 1141866 (L(x,y,z) \ x) * ((L(x,y,z) \ x) * u) = x * (L(L(x,y,z),y,z) \ u). [back_rewrite(977001),rewrite([1140961(12)])]. 1141878 x / ((L(L(y,z,u),z,u) \ y) \ w) = y * (L(L(y,z,u),z,u) \ (x / w)). [back_rewrite(769742),rewrite([1140998(6),1140961(12)])]. 1141890 (x * (y * (L(L(y,z,u),z,u) \ w))) \ v5 = (L(L(y,z,u),z,u) \ y) \ ((x * w) \ v5). [back_rewrite(462098),rewrite([1140961(6),1140998(14)])]. 1141905 x \ (y * (L(L(y,z,u),z,u) \ w)) = y * (L(L(y,z,u),z,u) \ (x \ w)). [back_rewrite(363216),rewrite([1140961(7),1140961(11)]),flip(a)]. 1141918 (x * (L(L(x,y,z),y,z) \ u)) * w = u * (x * (L(L(x,y,z),y,z) \ w)). [back_rewrite(342906),rewrite([1140961(6),1140961(11)])]. 1141920 x * (L(L(x,y,z),y,z) \ L(u,w,v5)) = L(x * (L(L(x,y,z),y,z) \ u),w,v5). [back_rewrite(342826),rewrite([1140961(7),1140961(11)])]. 1141961 ((L(L(x,y,z),y,z) \ x) \ u) / w = (L(L(x,y,z),y,z) \ x) \ (u / w). [back_rewrite(769971),rewrite([1140997(6),1140997(12)])]. 1141979 ((L(L(x,y,z),y,z) \ x) \ u) * w = u * ((L(L(x,y,z),y,z) \ x) \ w). [back_rewrite(342564),rewrite([1140997(6),1140998(11)])]. 1142116 L(x,y,z) * L(x \ 1,y,z) = x \ L(L(x,y,z),y,z). [back_rewrite(861058),rewrite([1141525(9),66480(9),354827(8),149203(7),149317(7),148803(4),148803(3),323(1),149084(5)]),flip(a)]. 1142194 (L(L(x,y,z),y,z) \ x) \ u = (x \ L(L(x,y,z),y,z)) * u. [back_rewrite(1140998),rewrite([1142116(5)]),flip(a)]. 1142269 ((x \ L(L(x,y,z),y,z)) * u) * w = u * ((x \ L(L(x,y,z),y,z)) * w). [back_rewrite(1141979),rewrite([1142194(4),1142194(9)])]. 1142281 ((x \ L(L(x,y,z),y,z)) * u) / w = (x \ L(L(x,y,z),y,z)) * (u / w). [back_rewrite(1141961),rewrite([1142194(4),1142194(10)])]. 1142306 (x * (y * (L(L(y,z,u),z,u) \ w))) \ v5 = (y \ L(L(y,z,u),z,u)) * ((x * w) \ v5). [back_rewrite(1141890),rewrite([1142194(12)])]. 1142309 x / ((y \ L(L(y,z,u),z,u)) * w) = y * (L(L(y,z,u),z,u) \ (x / w)). [back_rewrite(1141878),rewrite([1142194(4)])]. 1142553 L(L(x,y,z) \ 1,y,z) = x \ 1. [hyper(5083,a,65058,a(flip),b,1140262,a),rewrite([1111935(8),336(4),1079749(5),1014229(4),324(4),975095(6),343905(6),323(3),150510(7),622089(7),82013(4),296598(6)]),flip(a)]. 1142688 (L(L(x,y,z),y,z) \ x) * L(L(x,u,w),y,z) = L(x * (L(x,y,z) \ x),u,w). [para(1140262(a,1),67715(a,1,2)),rewrite([975095(4),49(4),975147(5),310694(5),1129422(4),25976(6),159097(4),1138089(9),1140911(8),1139155(9)]),flip(a)]. 1143236 (x * L(L(x,y,z),y,z)) \ (u * w) = ((x * L(L(x,y,z),y,z)) \ u) * w. [para(1140932(a,1),22473(a,1,1)),rewrite([1140932(8)])]. 1143240 (x * L(L(x,y,z),y,z)) * L(u,x,x) = L(x,y,z) * (L(x,y,z) * u). [para(1140932(a,1),380(a,1,1)),rewrite([1131171(6),994702(6)])]. 1143242 L(x,y,z) * (L(x,y,z) * u) = x * (L(L(x,y,z),y,z) * u). [para(1140932(a,2),380(a,1,1)),rewrite([1140932(3),1141124(6),1143240(5)])]. 1143422 R(x,y,z) * (x \ a(x,y,L(z,x,y * z))) = a(x,y,z) * a(x,y,z). [para(256868(a,1),1140932(a,1,1)),rewrite([256868(5),256868(9),1087056(8),1007414(9)]),flip(a)]. 1143471 (L(L(x,y,z),y,z) \ x) * u = x * (L(L(x,y,z),y,z) \ u). [para(1140932(a,2),413274(a,2,1)),rewrite([1079604(6),983866(5),399611(4),1079604(6),1141866(6),1140932(11),1079604(10),1138089(9),1140911(8),1139155(9)]),flip(a)]. 1143635 L(L(x,y,z),y,z) \ x = a(z,y,x) * a(z,y,x). [para(1030260(a,1),1140932(a,1,1)),rewrite([1030260(4),1030260(8),1087056(7),1009056(7),1138089(8),1140911(7),1139155(8)]),flip(a)]. 1143649 a(L(L(x,y,z),y,z) * u,w,v5) = a(x * u,w,v5). [para(1140932(a,2),1087425(a,1,1,1)),rewrite([1140932(3),1143236(5),221409(6),148178(3),1141163(5),46633(6),1141124(10),1122781(9),1087420(7)])]. 1144118 L(L(a(x,y,z) * (a(x,y,z) * z),u,w),y,x) = L(z * (L(z,y,x) \ z),u,w). [back_rewrite(1142688),rewrite([1143635(3),25954(6),25954(5),626374(4)])]. 1144162 a(x,y,z) * (a(x,y,z) * u) = z * (L(L(z,y,x),y,x) \ u). [back_rewrite(1143471),rewrite([1143635(3),400179(4)])]. 1144166 a(x,y,z) \ (a(x,y,z) \ u) = (z \ L(L(z,y,x),y,x)) * u. [back_rewrite(1142194),rewrite([1143635(3),413070(4)])]. 1144176 x * (L(L(x,y,z),y,z) \ u) = u * (a(z,y,x) * a(z,y,x)). [back_rewrite(1140999),rewrite([1143635(3)]),flip(a)]. 1144284 L(L(x * (a(y,z,x) * a(y,z,x)),u,w),z,y) = L(x * (L(x,z,y) \ x),u,w). [back_rewrite(1144118),rewrite([1144162(4),1143635(3)])]. 1144414 x * (L(L(x,y,z),y,z) \ ((a(z,y,x) * u) \ w)) = (a(z,y,x) \ u) \ w. [back_rewrite(507469),rewrite([1144162(7)])]. 1144462 a(x,y,z * (u * (w * (L(L(w,v5,v6),v5,v6) \ v7)))) = a(x,y,(v7 * u) * z). [back_rewrite(499213),rewrite([1144162(4)])]. 1144712 (a(x,y,z) \ u) * (a(x,y,z) \ u) = u * ((z \ L(L(z,y,x),y,x)) * u). [back_rewrite(1104640),rewrite([1144166(9)])]. 1145173 x / (y * (a(z,u,w) * a(z,u,w))) = (w \ L(L(w,u,z),u,z)) * (x / y). [back_rewrite(398201),rewrite([1144166(10)])]. 1145888 a(x,y,L(z,x,y * z)) = x \ R(x,y,z). [para(256868(a,1),1140900(a,1,2,1)),rewrite([812653(7),48(7),1027909(7),51(7),49(4),1000535(9),784482(8),11009(6),784548(8),256868(6),1087056(5)]),flip(a)]. 1146301 R(x,y,z) * R(x \ 1,y,z) = a(x,y,z) * a(x,y,z). [back_rewrite(1143422),rewrite([1145888(4),281680(4),323(2)])]. 1146401 L(L(x * (L(x,y,z) \ x),u,w),y,z) = L(x,u,w). [hyper(7088,a,639825,a,b,1144176,a),rewrite([408211(6),408211(5),411(4),975095(3),377886(3),323(1),48(2),639825(11),1084986(10),1082637(9),70971(10),432002(6),432002(5),975095(4),377886(4),323(2),48(3),25958(8),25958(7),25958(6),1144284(7)]),flip(a)]. 1146536 L(x * (L(x,y,z) \ x),y,z) = x. [hyper(5142,a,685371,a(flip),b,1144176,a),rewrite([150375(9),400179(10),1144162(10),171722(9),150375(18),171722(19),1145173(20),180025(19),413100(18),1144166(18),1142309(19),52(17),1143635(6),511080(8),349543(7),443869(6),1018837(5),1082367(4),1009056(2)])]. 1146600 a(x,y,z) * (z \ a(x,y,z)) = L(L(z,y,x),y,x) \ 1. [hyper(5083,a,757978,a,b,1144176,a),rewrite([34218(6),50(5),626380(4),397443(4),350(10)])]. 1146683 a(x,y,z) * (u * a(x,y,z)) = z * (L(L(z,y,x),y,x) \ u). [hyper(5081,a,1083439,a,b,1144176,a),rewrite([1080165(5),394568(4)])]. 1146876 L(L(L(x,y,z) \ 1,u,w),y,z) = L(x \ 1,u,w). [hyper(5142,a,1144176,a(flip),b,158018,a),rewrite([158460(4),158460(6),1084986(5),1082637(4),231319(13),179795(11),413100(10),1144166(10),1142309(11),337(9),1141920(9),1141920(8),1141920(7),1141322(5),1140839(6),26653(9),26653(8),26653(7),31701(6),1141165(6)])]. 1147163 a(x,y,z * (u * (L(L(u,w,v5),w,v5) \ v6))) = a(x,y,v6 * z). [para(1144176(a,1),72932(a,1,3,1)),rewrite([72569(3),72569(4),6(5),400179(4),1144162(4),182632(11),1141918(13),5(13),1144462(14),7(9),72835(10)])]. 1148173 L(L(R(x * (L(x,y,z) \ x),u,w),v5,v6),y,z) = L(R(x,u,w),v5,v6). [para(1146401(a,1),63(a,1,1)),rewrite([63(2),63(7)]),flip(a)]. 1148258 L(L(L(x \ R(x,y,z),u,w),v5,v6),u,w) = L(x \ R(x,y,z),v5,v6). [para(1146401(a,1),272623(a,1,1)),rewrite([63(6),1148173(7),272623(4),63(12),272623(13),1138668(12),281867(8),165661(6),251554(9),159097(7),407317(6),323(4),151395(9),272385(9),63(6),272623(7)]),flip(a)]. 1150061 L(T(L(x,y,z) \ 1,u),y,z) = T(x \ 1,u). [hyper(5081,a,12990,a,b,1146536,a),rewrite([12990(4),96716(14),1110989(12),336(9),324(10),443019(9),1098089(8),323(4),48(8)]),flip(a)]. 1150311 x * L(y,x,a(z,u,x)) = L(x * y,x,a(x,u,z)). [para(1146536(a,1),349543(a,1,1,2)),rewrite([1110646(4),323(2),49(3),1097849(6),349543(7),303495(6),987490(6),1146536(13),1110646(10),323(8),49(9),1097849(10),854894(8),855056(7),51(5),855056(6)])]. 1150451 L(x * (L(x,y,z) \ x),y,L(z,u,w)) = x * a(w,u,a(z,y,x)). [para(1146536(a,1),1128319(a,1,2,1,2)),rewrite([1110646(7),323(5),49(6),626171(7),1129244(6),1020762(4)]),flip(a)]. 1150454 (L(x * (L(x,y,z) \ x),u,w) \ (x * (L(x,y,z) \ x))) * L(x,u,w) = x * a(w,u,a(z,y,x)). [para(1146536(a,1),1140262(a,1,2,1)),rewrite([1150451(15)])]. 1150479 L(x,y,z) * (u * (L(x,y,z) \ x)) = L(x * u,x,a(x,y,z)). [back_rewrite(984464),rewrite([1150311(8)])]. 1150950 L(R(x,y,z),x,L(L(x,u,w),v5,v6)) = L(R(x,y,z),x,x). [hyper(295,a,738290,a,b,1115093,a),rewrite([209136(5),699295(5),391450(4),381372(8),209136(7),699295(7)])]. 1151021 L(L(x \ L(x,y,z),u,w),L(x,v5,v6),v7) = L(L(x \ L(x,y,z),x,v7),u,w). [para(1115093(a,1),305327(a,1,1)),rewrite([1115093(6),305327(8),304458(4),1128349(5),304458(8)]),flip(a)]. 1151119 L(L(x \ L(x,y,z),x,u),u,u) = (u \ x) \ (u \ L(x,y,z)). [back_rewrite(1079894),rewrite([1151021(6),738913(4)])]. 1151127 L(L(x \ L(x,y,z),x,u),w,v5) * u = L(L(x,w,v5),y,z) * (L(x,w,v5) \ u). [back_rewrite(459870),rewrite([1151021(5)])]. 1151128 L(L(x,y,z),u,w) * (L(x,y,z) \ v5) = L(x,u,L(w,y,z)) * (x \ v5). [back_rewrite(457449),rewrite([1151021(5),1128895(5)]),flip(a)]. 1151139 x * (L(y,z,u) * (y \ (x \ 1))) = (x \ y) \ (x \ L(y,z,u)). [back_rewrite(457771),rewrite([1151119(4)]),flip(a)]. 1151140 L(L(x \ L(x,y,z),x,u),w,v5) * u = L(x,y,L(z,w,v5)) * (x \ u). [back_rewrite(1151127),rewrite([1151128(10)])]. 1151150 T((x / L(y,z,u)) * L(L(y,w,v5),z,u),v6) = T(L(y,w,L(v5,z,u)) * (y \ x),v6). [back_rewrite(872285),rewrite([1151128(5)]),flip(a)]. 1151213 L(L(x,y,z) \ x,x * u,u) = (u \ L(x,y,z)) \ (u \ x). [back_rewrite(1079465),rewrite([1151139(10),980449(10),48(10)])]. 1151260 (x / L(y,z,u)) * L(L(y,w,v5),z,u) = L(y,w,L(v5,z,u)) * (y \ x). [back_rewrite(866773),rewrite([1151150(6),457844(5)]),flip(a)]. 1151298 L((x \ y) * y,z,u) \ ((x \ y) * y) = (y \ L(x,z,u)) \ (y \ x). [back_rewrite(1079461),rewrite([1151213(4)]),flip(a)]. 1151317 L(x,y,z) * (L(x,u,L(w,y,z)) * (x \ v5)) = L(L(x,y,z),u,w) * v5. [back_rewrite(158804),rewrite([1151260(6)])]. 1151318 L(L(x * (y \ x),z,u) \ (x * (y \ x)),y,y) = (x \ L(y,z,u)) \ (x \ y). [back_rewrite(1136455),rewrite([1151298(13)])]. 1153463 a(L(x,y,z) * ((x * R(x,u,w)) * v5),v6,v7) = a(L(x,y,z) * (v5 * a(x,u,w)),v6,v7). [para(1128549(a,2),24885(a,1,1,2)),rewrite([1000535(5),784027(4),1128549(7),1140387(9),1140701(9),1079373(2),825042(6),789997(8),639751(7),1084867(8),1019798(7),853000(6),1115971(13),1008249(11),1124092(12)])]. 1153491 L(a(x,x,a(y,z,z)) * (x \ R(x,z,y)),u,w) = a(x,z,L(y,u,w)). [para(256868(a,1),1128549(a,1,1,1,2)),rewrite([812086(4),1112745(4),1087056(3),1087056(2),974609(3),820042(5),17060(6),1130758(11),256868(10),820042(12),304101(13),779198(12),50(11),1084626(10)])]. 1153570 a(L(x,y,z) * (u * a(x,w,v5)),v6,v7) = a(u * L(R(x,w,v5),y,z),v6,v7). [para(1128549(a,2),12619(a,1,1,2)),rewrite([1065725(5),174146(4),1128549(9),1140387(11),1140701(11),1079373(2),1018539(10),13808(9),1071749(9),1124092(8),825007(3),394190(6),853000(11),1153463(11),1124092(10)]),flip(a)]. 1153636 (x / y) \ L(x,z,y) = y * (x \ L(x,z,y)). [hyper(5083,a,1128496,a(flip),b,22934,a),rewrite([304742(5)])]. 1153712 R(a(x,x,y) \ x,x,y) = x. [back_rewrite(716648),rewrite([1153636(3),396958(3)])]. 1154217 L(x,y * (z * (y \ L(y,u,w))),v5) = L(x,L(y,u,w) * z,v5). [para(60809(a,1),1129938(a,1,2)),rewrite([150510(9),976313(9)]),flip(a)]. 1154424 L(x,(y * L(y,z,u)) * (w * y),v5) = L(x,L(y,z,u) * w,v5). [back_rewrite(694964),rewrite([1154217(10)])]. 1155091 L(L(x,y,z),u,L(w,x,u)) = L(a(w,u,x) \ x,y,z). [para(1131235(a,1),64(a,1,1)),flip(a)]. 1155171 (a(x,y,z) \ z) \ (z * u) = z * ((a(x,y,z) \ z) \ u). [para(1131235(a,1),162681(a,1,1)),rewrite([1131235(6)])]. 1155177 x * (a(y,z,x \ u) \ (x \ u)) = a(y,z,u \ x) \ u. [para(1131235(a,2),168799(a,1,1,2)),rewrite([1131235(6),829329(7),1072475(7),1084615(5),1089983(4),1086088(5),1085982(4),1091004(4),420975(8)]),flip(a)]. 1155221 (x \ 1) * ((x \ (a(y,z,x) \ 1)) \ u) = x * ((a(y,z,x) \ x) \ u). [para(1131235(a,1),162882(a,1,2,1)),rewrite([72770(5),646032(6),28083(11),1131235(10)])]. 1155231 (a(x,y,z) \ z) \ (z \ u) = z \ ((a(x,y,z) \ z) \ u). [para(1131235(a,1),354134(a,1,1)),rewrite([1131235(6)])]. 1155234 x * ((a(y,z,x) \ x) \ L(L(x,z,y),z,y)) = a(y,z,x) \ x. [para(1131235(a,2),357450(a,1,1)),rewrite([1131235(2),1135410(7),626730(7),1144166(6),377886(6),377886(5),323(3),48(4),1155171(6),413503(10),898646(10)])]. 1155266 L(x * y,z,L(u,y * x,z)) = x * (a(u,z,y \ x) \ y). [para(1131235(a,1),61616(a,1,1)),rewrite([68874(4),445553(7),1155177(5),68875(9),1130971(8)]),flip(a)]. 1155287 a(x,y,z * u) \ (z * u) = z * (a(x,y,u \ z) \ u). [para(27307(a,1),1131235(a,1,3)),rewrite([1155266(4)]),flip(a)]. 1155354 (a(x,y,z) * z) * (z \ u) = z * ((a(x,y,z) \ z) \ u). [para(1131235(a,1),1097647(a,1,1,1)),rewrite([1104084(4),627502(4),652133(6),1131235(6)])]. 1155359 a(x,y,L(z,z,u)) * u = z * ((a(x,y,z) \ z) \ u). [para(1131235(a,1),1136653(a,1,1,1,1)),rewrite([6743(3),1087056(2),1131235(5)])]. 1155360 a(x,y,z) * L(a(x,y,z) \ z,u,w) = L(z,u,L(w,y,x)). [para(1131235(a,1),1140262(a,1,1,1)),rewrite([6743(3),1155091(4),1065725(8)])]. 1155369 L(x,a(y,z,u) * u,w) = L(x,L(u,z,y),w). [para(1131235(a,1),1129938(a,1,2)),rewrite([394477(3)])]. 1155472 x * a(y,z,L(u,u,x)) = u * ((a(y,z,u) \ u) \ x). [back_rewrite(1086612),rewrite([1155354(4)]),flip(a)]. 1156537 a(x * (y * ((a(z,u,y) \ y) \ w)),v5,v6) = a(w * (x * a(z,u,y)),v5,v6). [para(1155472(a,1),13792(a,2,1,2)),rewrite([1085709(4),47219(7),1087056(2),1084867(5)]),flip(a)]. 1156578 L(x,y * ((a(z,u,y) \ y) \ w),v5) = L(x,w * a(z,u,y),v5). [para(1155472(a,1),25426(a,1,2)),rewrite([694297(7),25316(8),1085849(9)])]. 1156636 a(((x * (a(y,z,u \ x) \ u)) \ w) * (x * u),v5,v6) = a(w * a(y,z,x * u),v5,v6). [para(1155472(a,2),46299(a,1,1)),rewrite([26518(5),1018527(7),13988(3),13988(8),242174(13),1155287(8)]),flip(a)]. 1156695 a(x,y,z * ((a(u,w,z) \ z) \ v5)) = a(x,y,v5 * a(u,w,z)). [para(1155472(a,1),72848(a,2,3)),rewrite([1086459(6),72848(5)]),flip(a)]. 1156752 ((a(x,y,z) \ z) \ u) / (u * a(x,y,L(z,z,u))) = R(z \ 1,z,u * a(x,y,z)). [para(1155472(a,2),94500(a,2,2)),rewrite([841989(6),627353(5),780474(6)]),flip(a)]. 1157359 x * ((a(y,z,x) \ x) \ (u * x)) = u * (x * a(y,z,x)). [para(170542(a,2),1155472(a,1,2,3)),rewrite([65068(6),7726(7),149(6),776371(7),717654(7),407806(4),60(5),403097(5),623455(4),1083439(4)]),flip(a)]. 1157442 L(x,x,y) * (L(a(z,y,x) \ x,x,y) \ u) = x * (L(x,y,z) \ u). [para(1009056(a,1),1155472(a,2,2,1,1)),rewrite([1115171(3),1086088(4),1129333(3),1065131(4),975095(8),350965(8),809849(8),1072658(7)]),flip(a)]. 1157448 a(x,x,(x \ y) * a(z,u,x)) = a(x,x,L(x,u,z) * y). [para(1155472(a,2),763333(a,1,1,2)),rewrite([1156752(7),151517(6),724474(6),626374(3),1103997(4),454322(7),627353(6)]),flip(a)]. 1157753 (x * a(y,z,x)) * (x \ u) = x * ((a(y,z,x) \ x) \ u). [hyper(5081,a,7732,a(flip),b,1155354,a),rewrite([72925(6),16922(7),400742(7),399298(8),388747(9),72925(8),626704(9),388186(13),8385(14),387613(14)]),flip(a)]. 1157967 a(x * (y * (L(y,z,u) \ w)),v5,v6) = a(w * (x * a(u,z,y)),v5,v6). [para(1155354(a,1),24885(a,2,1,2)),rewrite([1155369(4),970344(8),1071849(8),380(6),1140387(5),1156537(11)])]. 1157975 a(x,y,z * (L(z,u,w) \ v5)) = a(x,y,v5 * a(w,u,z)). [para(1155354(a,1),135952(a,2,3)),rewrite([397122(5),453440(5),1101638(5),1140128(4),1156695(9)])]. 1158270 K(x,x \ y) * (((a(z,u,x) \ x) \ y) * x) = x * ((a(z,u,x) \ x) \ y). [para(3851(a,1),1155354(a,1,2)),rewrite([13983(3),385056(4),385855(7),9138(7),7763(6),385017(5),410(6),1157753(4),13983(9),394737(10),936598(11),8513(11)]),flip(a)]. 1158406 a(x \ (y * (L(y,z,u) \ w)),v5,v6) = a(a(u,z,y) * (x \ w),v5,v6). [back_rewrite(1100659),rewrite([1157967(8),1100502(7),385866(2),966855(6),677533(6)]),flip(a)]. 1158424 a(x,y,x * (L(x,z,u) * w)) = a(x,y,w * a(u,z,x)). [back_rewrite(1140625),rewrite([1157975(4)]),flip(a)]. 1158525 a(x,x,y * a(z,u,x)) = a(x,x,y). [back_rewrite(1091064),rewrite([1158424(4)])]. 1158535 a(x,x,L(x,y,z) * u) = a(x,x,u * x). [back_rewrite(1157448),rewrite([1158525(4),1083084(2)]),flip(a)]. 1158602 ((K(x,y) / L(y,z,u)) * w) \ (L(T(y,x),z,u) \ w) = a(y,y,w * y). [back_rewrite(1088348),rewrite([1158535(11)])]. 1160942 (x / y) * (y * a(z,u,y)) = y * ((a(z,u,y) \ y) \ x). [hyper(5081,a,13287,a(flip),b,1157359,a),rewrite([13983(4),13983(9),394737(10),410(14),51(12),936598(11),8513(11),1158270(11)])]. 1161065 a(x * (y * (z * a(u,w,y * z))),v5,v6) = a(L(y * z,w,u) * x,v5,v6). [para(1157359(a,2),46302(a,1,1)),rewrite([13988(5),242174(13),1155287(4),13786(12),1156636(11),13808(7),968089(7),13786(7),13988(10),1019798(12)])]. 1161139 (a(x,y,z) \ z) \ L(L(z,u,w),v5,v6) = L(L(z,u,w),v5,v6) * (z \ a(x,y,z)). [para(149409(a,1),1157359(a,1,2,2)),rewrite([72770(5),646032(6),1155221(11),1155231(6),51(7),72770(12),626536(11)])]. 1161521 L(x,y,a(y,z,u)) * a(u,z,y) = y * ((a(u,z,y) \ y) \ x). [back_rewrite(1125033),rewrite([1160942(8)])]. 1161564 x * (L(L(x,y,z),y,z) * (x \ a(z,y,x))) = a(z,y,x) \ x. [back_rewrite(1155234),rewrite([1161139(5)])]. 1162038 (x / y) * ((y \ L(L(y,z,u),z,u)) * (y * a(u,z,y))) = y * ((y * a(u,z,y)) \ x). [para(68847(a,1),1160942(a,2,2)),rewrite([413070(4),1144166(4),1142281(5),1142269(8),397087(12)])]. 1162135 (x \ L(L(x,y,z),u,w)) * (x * a(v5,v6,x)) = x * (L(L(x,y,z),u,w) * (x \ a(v5,v6,x))). [para(407240(a,1),1160942(a,1,1)),rewrite([1161139(11)])]. 1162280 (x / y) * (a(z,u,y) \ y) = y * ((y * a(z,u,y)) \ x). [back_rewrite(1162038),rewrite([1162135(7),1161564(7)])]. 1162388 L(x,y,L(z,u,w)) * (x \ a(w,u,x)) = x * L(x \ a(w,u,x),y,z). [hyper(7088,a,102113,a,b,1162280,a),rewrite([423145(4),385657(7),443208(5),173205(4),398785(12),1072765(12),1129014(10),458244(9)]),flip(a)]. 1164064 L(x,y * a(z,u,y),w) = L(x,L(y,u,z),w). [hyper(5081,a,27485,a(flip),b,1155369,a),rewrite([13983(4),385056(5),26536(6)]),flip(a)]. 1164195 L(x,y * R(y,z,u),w) = L(x,a(y,z,u),w). [para(256868(a,1),1155369(a,2,2)),rewrite([1014598(4),1018852(3),789962(6),21156(6)])]. 1164214 L(x,L(y \ (z \ 1),u,w),v5) = L(x,L(y \ z,u,w),v5). [para(403612(a,1),1155369(a,1,2,1)),rewrite([807878(7),1155369(5)]),flip(a)]. 1164432 R(x,y \ R(y,z,u),w) = L(x,a(y,z,u),w). [back_rewrite(821531),rewrite([1164195(6)])]. 1164511 L(x,R(y,z,u) \ y,w) = L(x,a(y,z,u),w). [back_rewrite(358233),rewrite([1164195(6)])]. 1164525 (x * R(y,z,u)) / L(y,a(y,z,u),x) = x * (y \ R(y,z,u)). [back_rewrite(268737),rewrite([1164195(5)])]. 1164532 L(x,L(a(y,z,u) \ w,v5,v6),v7) = L(x,L(a(y,z,u) * w,v5,v6),v7). [back_rewrite(1105920),rewrite([1164214(6)])]. 1164602 L(x,L(y,z,u) * (L(a(w,v5,y) \ y,z,u) \ v6),v7) = L(x,v6 * a(w,v5,y),v7). [para(49057(a,2),1156578(a,1,2)),rewrite([1072374(7),49057(9),1085849(11)])]. 1164662 L(x,y * (L(y,z,u) \ w),v5) = L(x,w * (y * L(y,z,u)),v5). [para(1009056(a,1),1156578(a,1,2,2,1,1)),rewrite([975095(5),350965(5),809849(5),1072658(4),1157442(6),1009056(6),681418(8)])]. 1164839 L(x,L(y * R(y,z,u),w,v5),v6) = L(x,a(y,z,u),v6). [para(667746(a,2),1164064(a,2,2)),rewrite([1014596(5),635024(5),77969(6),11009(2),1164195(3),667746(7),1064072(6)]),flip(a)]. 1164905 R(x,L(R(y,z,u),w,v5) \ L(y,w,v5),v6) = L(x,a(y,z,u),v6). [back_rewrite(1064067),rewrite([1164839(9)])]. 1164939 L(x,y,a(z,u,w)) \ a(v5,v6,a(v7,v8,v9)) = L(x \ a(v5,v6,a(v7,v8,v9)),y,a(z,u,w)). [hyper(5083,a,1076481,a(flip),b,388689,a),rewrite([388135(7),17060(7),12981(5)]),flip(a)]. 1165009 L(x \ 1,y,a(z,u,w)) * a(x,v5,v6) = L(x,y,a(z,u,w)) \ a(x,v5,v6). [para(1076481(a,1),338014(a,1,1)),rewrite([1079373(7),454288(7),1079373(11),454288(11)])]. 1165010 a(x,y,z) * L(x \ 1,u,a(w,v5,v6)) = L(x,u,a(w,v5,v6)) \ a(x,y,z). [para(1076481(a,1),339031(a,1,2)),rewrite([1079373(3),454288(3),1079373(11),454288(11)])]. 1165062 L(a(x,y,z) * (u \ 1),u,a(x,y,z)) = u \ a(x,y,z). [para(831720(a,1),1076481(a,1,1)),rewrite([413529(6),1104084(6)]),flip(a)]. 1165232 a(x,y,z) * (x \ a(x,u,a(w,v5,v6))) = L(x,u,a(w,v5,v6)) \ a(x,y,z). [back_rewrite(1062297),rewrite([1165009(6)]),flip(a)]. 1166824 L(x,y,z) * L(L(L(x,u,w) \ x,v5,v6),v7,v8) = x * (L(x,u,L(L(w,v5,v6),v7,v8)) \ L(x,y,z)). [para(63(a,2),1129972(a,2,2,1,3)),rewrite([209136(3),1128521(4),63(8),209955(9)])]. 1166877 L(L(x \ R(x,y,z),u,w),x,y) = a(x,y,L(z,u,w)). [para(256868(a,1),1129972(a,1,2,1,1)),rewrite([1059281(7),1072211(6),394194(6),1087056(6),1087056(5),974609(6),17022(6),1153491(6),1130758(9),256868(8),1019554(10),17022(8),1064055(8)]),flip(a)]. 1167013 a(x,R(y,z,u),L(w,v5,v6)) = a(x,L(y,z,u),L(w,v5,v6)). [hyper(5081,a,14826,a,b,1166877,a),rewrite([14826(4),215709(5),209136(9),1166877(9)])]. 1167015 L(x \ R(x,y,z),x,y) = a(x,y,z). [hyper(5081,a,1089739,a(flip),b,1166877,a),rewrite([273251(4)]),flip(a)]. 1167036 a(x,y,L(L(z,x,y),u,w)) = L(x \ R(x,y,z),u,w). [hyper(273,a,1146536,a,b,1166877,a),rewrite([1087056(5),1086619(8),974609(5),1083625(5),1082366(4),1087056(3)])]. 1167077 a(x,y,L(z \ (u / w),v5,v6)) = a(x,y,L(z \ (w \ u),v5,v6)). [para(239766(a,1),1166877(a,1,1,1,2)),rewrite([1166877(6)]),flip(a)]. 1167079 a(x,y,L(z,x,y)) = x \ R(x,y,z). [para(256868(a,1),1166877(a,1,1)),rewrite([1087056(2),1145888(5)])]. 1167114 a(x,y,L((z / u) \ w,v5,v6)) = a(x,y,L((u \ z) \ w,v5,v6)). [para(216887(a,1),1166877(a,1,1,1,2)),rewrite([1166877(6)]),flip(a)]. 1167144 x \ R(x,y,L(z,u,w)) = L(x \ R(x,y,z),u,w). [para(1166877(a,1),1146536(a,1,1,2,1)),rewrite([1087026(9),17022(6),1064055(6),1166877(4),1087056(3),1167079(3)])]. 1167152 L(x,R(y,z,u),w) \ x = L(x,L(y,z,u),w) \ x. [back_rewrite(1091045),rewrite([1167013(3),1101522(3)]),flip(a)]. 1167379 a(x,R(y,z,u),w) = a(x,L(y,z,u),w). [back_rewrite(1030450),rewrite([1167152(3),1079387(4)]),flip(a)]. 1167882 R(x,y,z) * (u * a(x,x,u)) = (1 / R(x,y,z)) \ u. [para(1167379(a,1),740843(a,1,2,2)),rewrite([1088849(4),1089836(4),1082637(4)])]. 1167939 R(x,y,z) * (x \ ((1 / x) \ u)) = (1 / R(x,y,z)) \ u. [back_rewrite(761846),rewrite([1167882(10)])]. 1167940 R(x,y,z) * ((1 / x) \ u) = x * ((1 / R(x,y,z)) \ u). [back_rewrite(758253),rewrite([1167882(4)]),flip(a)]. 1167961 R(x,y,z * ((1 / R(z,u,w)) \ v5)) = R(x,y,R(z,u,w) * (z \ v5)). [back_rewrite(840731),rewrite([1167940(5)])]. 1167976 (x \ 1) \ (R(x,y,z) * u) = x * ((1 / R(x,y,z)) \ u). [back_rewrite(597383),rewrite([1167940(10)])]. 1167980 x * (x * ((1 / R(x,y,z)) \ u)) = R(x,y,z) * ((x * x) * u). [back_rewrite(81667),rewrite([1167940(5)])]. 1168032 L(x \ R(x,L(y,z,u),w),x,y) = a(x,L(y,z,u),w). [hyper(295,a,1140262,a,b,1167015,a),rewrite([1110989(8),287722(5),1111696(8),17060(9),17060(8),822323(7),1146876(8),812085(5),48(5)])]. 1168154 L(a(x,y,z) \ 1,x,y) = R(x,y,z) \ x. [para(1167015(a,1),1150061(a,1,1,1,1)),rewrite([293938(4),812086(8),48(8),287703(7)])]. 1168413 a(x,y * R(y,z,u),w) = a(x,a(y,z,u),w). [para(451734(a,1),1168032(a,1,1,2,2)),rewrite([1164432(3),386956(3),1000535(5),1087056(4),1167079(4),385866(2),386956(3),451734(6),135845(5)]),flip(a)]. 1168730 a(x,y \ R(y,z,u),w) = a(x,a(y,z,u),w). [back_rewrite(135845),rewrite([1168413(6)])]. 1168802 a(x,y,L(z \ ((u * u) * w),v5,v6)) = a(x,y,L(z \ w,v5,v6)). [para(67094(a,1),1167077(a,2,3,1,2)),rewrite([67315(4),70971(3),87879(5)]),flip(a)]. 1171284 R(a(x,x,y) \ (a(x,x,z) \ x),L(x,x,z),y) = 1 / ((x \ z) / z). [hyper(5081,a,743526,a(flip),b,1153712,a),rewrite([398359(9),632855(8),1167379(8),398307(8),724172(6),1088849(7),1089836(7),1082637(7),829329(11),632855(10),215709(10)]),flip(a)]. 1172149 R(x,y,((z * L(z,u,w)) * v5) * v6) = R(x,y,a(w,u,z) * (v5 * v6)). [para(1009056(a,1),1105972(a,1,3,1,1)),rewrite([975095(3),840302(5),1009056(7),1018272(10)])]. 1172213 R(x,y,z * (u * (w \ L(w,v5,v6)))) = R(x,y,a(v6,v5,w) * (u * z)). [back_rewrite(840313),rewrite([1172149(5)]),flip(a)]. 1172228 R(x,y,z * (u * a(w,v5,z))) = R(x,y,u * L(z,v5,w)). [back_rewrite(1018245),rewrite([1172213(5),1139492(4)]),flip(a)]. 1173420 R(x,y,z) * (x \ R(x,y,z)) = x * (a(x,y,z) * a(x,y,z)). [para(1146301(a,1),63041(a,2,2)),rewrite([272385(5)])]. 1173574 T(x * (L(L(x,y,z),y,z) \ (R(z,y,x) \ u)),z \ u) = a(z,z,u) * (R(z \ 1,y,x) * u). [para(1146301(a,1),595594(a,1,1,2,1)),rewrite([400179(5),1144162(5),1141905(6),446086(11),92038(10),1167379(13),70585(13),1088849(11),1089836(11),1082637(11)])]. 1173822 a(x * ((a(y,z,u) \ w) \ v5),v6,v7) = a(x * (w \ (a(y,z,u) * v5)),v6,v7). [para(1105856(a,1),13826(a,2,1,2,1)),rewrite([1134775(5),501661(8),394737(3),13812(6),1105858(13),13812(11)])]. 1173846 a(x * (y \ (a(z,u,w) \ v5)),v6,v7) = a(x * (y \ (a(z,u,w) * v5)),v6,v7). [para(1105856(a,1),68916(a,1,1,2,1)),rewrite([1173822(8),68916(8),13791(6),13791(11),1094679(10)]),flip(a)]. 1174232 L(x * (y \ x),z,u) \ (x * (y \ x)) = (x \ L(y,z,u)) \ (x \ y). [hyper(5083,a,1118218,a(flip),b,1136457,a),rewrite([785953(8),1001136(6),1151318(8),324(6)]),flip(a)]. 1174239 L(L(x,y,z) \ x,x,L(u,w,v5) * v6) = L(L(x,y,z) \ x,x,u * L(v6,w,v5)). [hyper(5081,a,994223,a,b,1136457,a),rewrite([994223(6),991909(9),1136457(12)])]. 1174353 x * a(a(y,z,x),u,w) = x * a(y,z,a(w,u,x)). [back_rewrite(1150454),rewrite([1174232(8),1079514(6),1130496(5),1020749(4)])]. 1174733 a(L(x,R(y,z,u),w) * v5,v6,v7) = a(L(x,L(y,z,u),w) * v5,v6,v7). [para(28056(a,1),1019400(a,2,1,1)),rewrite([1167379(3),14785(3),1019400(5)]),flip(a)]. 1174744 a(a(x,y,z) * a(z,u,w),v5,v6) = a(z * L(R(z,u,w),y,x),v5,v6). [para(63041(a,1),1019400(a,1,1)),rewrite([990045(3),1084872(6),63041(4),1019400(5),1122578(4),103085(7)])]. 1174775 a(L(x \ R(x,y,z),u,w) * v5,v6,v7) = a(v5 * a(x,y,z),v6,v7). [para(272623(a,2),1019400(a,2,1,1)),rewrite([1014598(5),12541(7),1115971(4),272623(7)]),flip(a)]. 1174826 a(x * (L(y,z,u) * a(y,w,v5)),v6,v7) = a(x * L(R(y,w,v5),z,u),v6,v7). [para(1002238(a,2),1019400(a,2,1)),rewrite([1079373(2),400742(5),431108(7),1084837(7),1019987(6),1153570(5),1079373(6),1008593(9),398387(10),1084872(10)]),flip(a)]. 1174860 a((x * y) * (R(z,y,x) * u),w,v5) = a((x * y) * (L(z,y,x) * u),w,v5). [back_rewrite(205920),rewrite([1174733(7),133779(7)]),flip(a)]. 1174905 a((x * y) * (z * a(x,u,w)),v5,v6) = a(z * (y * R(x,u,w)),v5,v6). [back_rewrite(1061919),rewrite([1174860(6),1174826(6),380(4)]),flip(a)]. 1174912 a(x * (y * (a(y,z,u) * w)),v5,v6) = a(x * (w * R(y,z,u)),v5,v6). [back_rewrite(1062497),rewrite([1174905(5)]),flip(a)]. 1174920 a(x * (y * (z * a(z,u,w))),v5,v6) = a(x * (y * R(z,u,w)),v5,v6). [back_rewrite(1005541),rewrite([1174912(5)]),flip(a)]. 1174926 a(x * (y * (z * a(y,u,w))),v5,v6) = a(x * (z * R(y,u,w)),v5,v6). [back_rewrite(1002974),rewrite([1174920(5)]),flip(a)]. 1175052 a(a(x,y,z) * a(u,w,x),v5,v6) = a(x * L(R(x,y,z),w,u),v5,v6). [hyper(295,a,1087420,a,b,1174744,a),rewrite([400178(6),440389(4)])]. 1175130 L(x,y,a(z,u,w) * a(w,v5,v6)) = L(x,y,w * L(R(w,v5,v6),u,z)). [para(1174744(a,1),1017517(a,1,1,2)),rewrite([1017517(7)]),flip(a)]. 1175195 L(x,y,a(z,u,w) * a(v5,v6,z)) = L(x,y,z * L(R(z,u,w),v6,v5)). [para(1175052(a,1),1017517(a,1,1,2)),rewrite([1017517(7)]),flip(a)]. 1175473 a(x * ((y * z) * u),w,L(v5,u * (z * y),u * (z * y))) = a((u * (z * y)) \ x,w,v5). [hyper(295,a,46819,a,b,1083045,a)]. 1175508 a(x * (y * (z * a(u,w,v5))),v6,L(v7,y * z,y * z)) = a(((a(u,w,v5) * y) * z) \ x,v6,v7). [para(20235(a,1),1083045(a,1,3)),rewrite([392857(11),1083356(12),970344(8)])]. 1175562 a(((a(x,y,z) \ u) * w) \ v5,v6,v7) = a(((a(x,y,z) * u) * w) \ v5,v6,v7). [para(454456(a,1),1083045(a,1,3)),rewrite([444432(11),1083356(12),972029(8),1175508(8)]),flip(a)]. 1175582 a((x \ y) * a(x,z,u),w,v5) = a(R(x,z,u) \ y,w,v5). [para(783404(a,1),1083045(a,1,1)),rewrite([1096699(6),13808(5),1094605(5),1083983(4),857518(7),1115971(8)]),flip(a)]. 1175677 a(((a(x,y,z) * u) * w) \ ((u * (a(x,y,z) \ v5)) * w),v6,v7) = a(v5,v6,L(v7,a(x,y,z) * u,w)). [back_rewrite(1088742),rewrite([1175562(9)])]. 1175842 a(R(x,y,z) * R(x,u,L(w,y,z)),v5,v6) = a(x * R(R(x,y,z),u,w),v5,v6). [para(287722(a,2),1175582(a,1,1,1)),rewrite([287722(2),1088849(4),1083021(5),1030545(6),1094591(6),1100510(9)])]. 1175917 a(x * a(y,z,u),w,L(v5,y,y)) = a(y * (R(y,z,u) * x),w,v5). [para(757978(a,1),1175582(a,1,1,1)),rewrite([394565(4),626704(4),1019400(5),1006690(3),1079373(4),96369(10),851986(9),852875(10),1095835(8)])]. 1175949 a(x * R(y,z,L(u,w,v5)),v6,v7) = a(x * R(y,z,u),v6,v7). [para(1002890(a,1),1175582(a,1,1,1)),rewrite([7733(6),20197(7),398888(4),1074700(4),1084615(5),1002890(7),398888(8),1074700(8)]),flip(a)]. 1176035 a(R(x,y,z) * R(x,u,w),v5,v6) = a(x * R(R(x,y,z),u,w),v5,v6). [back_rewrite(1175842),rewrite([1175949(5)])]. 1176441 a(x \ ((y * a(z,u,w)) * v5),v6,v7) = a(a(z,u,w) * (x \ (v5 * y)),v6,v7). [para(15112(a,1),134524(a,1,1,2)),rewrite([96539(7),385975(11),12491(12),1091331(10)])]. 1177452 a(x,(y * L(z / y,u,w)) * v5,v6) = a(x,(y * L(y \ z,u,w)) * v5,v6). [para(207(a,1),13933(a,1,2,1)),flip(a)]. 1177573 a(x,(L(y \ (y \ z),u,w) * y) * v5,v6) = a(x,(y \ L(z,u,w)) * v5,v6). [para(28563(a,1),13933(a,1,2,1)),flip(a)]. 1177640 a(x,(R(y \ (y \ z),u,w) * y) * v5,v6) = a(x,(y \ R(z,u,w)) * v5,v6). [para(280576(a,1),13933(a,1,2,1)),flip(a)]. 1177988 a(x,y * (z \ L(z,u,w)),v5) = a(x,y * (z * L(z,u,w)),v5). [back_rewrite(683197),rewrite([1177452(6),70355(4),64176(5)])]. 1178041 a(x,y * a(z,u,u \ (w \ u)),v5) = a(x,y * (w * L(w,u,z)),v5). [back_rewrite(1015274),rewrite([1177988(9)])]. 1178050 a(x,y * (L(z,u,w) \ z),v5) = a(x,y * (z * L(z,u,w)),v5). [back_rewrite(306138),rewrite([1177988(8)])]. 1180033 1 / ((x \ y) / y) = (y / (x * y)) \ 1. [hyper(295,a,1153712,a,b,1034043,a),rewrite([398359(5),632855(4),1167379(4),398307(4),724172(2),1088849(3),1089836(3),1082637(3),829329(7),632855(6),215709(6),1171284(6)])]. 1180381 R(x \ 1,x,R(x,y,z) * u) \ 1 = a(x,x,x * (u * R(x,y,z))) \ x. [para(62761(a,1),1034043(a,2,1,2)),rewrite([1037006(4),269239(11)]),flip(a)]. 1181106 (T(x,y) / T(x * L(z \ R(z,u,w),v5,v6),y)) \ 1 = L(z \ R(z,u,w),v5,v6). [para(820952(a,1),1034043(a,2,1,2)),rewrite([13983(8),1064016(7),1079373(7),821068(7),395250(6),784553(5),1168413(4),397055(3),324(5)]),flip(a)]. 1181774 (((x \ y) / y) \ 1) \ 1 = y / (x * y). [hyper(271,a,69340,a,b,1180033,a(flip))]. 1181853 a(x,L(y \ (y / z),u,w),v5) = a(x,L(y \ (z \ y),u,w),v5). [para(1180033(a,1),70632(a,1,2,1)),rewrite([70585(6),70632(4),493683(4),70585(10),70632(8)])]. 1182209 1 / (T(L(x \ R(x,y,z),u,w) \ v5,v6) / T(v5,v6)) = L(x \ R(x,y,z),u,w). [para(820952(a,1),1180033(a,2,1,2)),rewrite([825219(6),1181106(18)])]. 1182348 a(a(x,L(y \ (x \ y),z,u),w),v5,v6) = a(w,x,a(x,v5,v6)). [back_rewrite(1072073),rewrite([1181853(4)])]. 1182641 (x / y) / (z * (x / y)) = (y \ x) / (z * (y \ x)). [hyper(5081,a,237391,a,b,1181774,a),rewrite([237391(7),818853(8),1181774(12)])]. 1182645 (x \ 1) / (y * (x \ 1)) = x / (y * x). [hyper(5081,a,1181774,a,b,493036,a),rewrite([818853(6),818821(6),1181774(6),493036(8),1182641(8)]),flip(a)]. 1186342 a(x,y,z * (u * (w / v5))) = a(x,y,z * (u * (v5 \ w))). [para(1004137(a,1),136497(a,1,3)),rewrite([136445(5),14988(7),1004137(10),136445(9)])]. 1186987 a(x,y,z \ (a(u,w,v5) * v6)) = a(x,y,a(u,w,v5) * (z \ v6)). [para(11892(a,1),1080165(a,1,3)),rewrite([454304(4),398396(8)])]. 1187085 a(x,y,z \ (a(u,w,v5) \ v6)) = a(x,y,a(u,w,v5) * (z \ v6)). [back_rewrite(454321),rewrite([1186987(8)])]. 1187611 ((x \ y) / y) * x = x * (y / (x * y)). [hyper(267,a,598731,a(flip),b,1084411,a),rewrite([1182645(6),1089739(14),78011(13),269749(11),77961(9),439010(7),1090619(7)]),flip(a)]. 1187736 L(x,y,z * (u * ((w \ K(v5,v6)) * a(v7,v8,v9)))) = L(x,y,z * (u * ((w \ 1) * a(v7,v8,v9)))). [para(1084411(a,1),85452(a,2,3,2)),rewrite([7726(7),31850(6),1084412(6)])]. 1187929 L(x,y,z * (u * ((w \ 1) * a(v5,v6,v7)))) = L(x,y,z * (u * (w * a(v5,v6,v7)))). [para(1084411(a,1),85459(a,2,3,2)),rewrite([7733(8),66271(7),1005125(9),1084374(4)]),flip(a)]. 1187949 a(x,y,L(z,u,u)) * (R(u,w,v5) \ u) = u * ((R(u,w,v5) \ 1) * a(x,y,z)). [para(776371(a,2),1084411(a,1,2)),rewrite([209874(2),1086088(3),49(5)])]. 1188431 L(x,y,z * (u * ((w \ K(v5,v6)) * a(v7,v8,v9)))) = L(x,y,z * (u * (w * a(v7,v8,v9)))). [back_rewrite(1187736),rewrite([1187929(14)])]. 1189824 a(x,y,z) \ L(a(x,y,z) \ 1,u,w) = z \ L(L(z,y,L(x,u,w)),y,x). [para(1086619(a,1),1127305(a,1,2)),rewrite([6706(6),1082077(6),1081642(7),1076542(6),1144166(5),49(5),6706(6),386756(6),149447(6),1129110(4),149084(6),1081528(10)]),flip(a)]. 1189836 a(x,y,L(z,u,w)) \ (a(x,y,z) \ v5) = v5 * (z \ L(L(z,y,L(x,u,w)),y,x)). [back_rewrite(1081688),rewrite([1189824(6)]),flip(a)]. 1189890 R(x,y,z) \ R(R(x,y,z),u,w) = L(x \ R(x,u,w),y,z). [hyper(5081,a,291003,a(flip),b,1167079,a),rewrite([282758(7),273772(7),273661(8),22655(8),152866(6),291306(11),1091024(10),1088849(9),13798(9),1167036(7)])]. 1189994 R(x,y,z * R(z,u,w)) = L(x,y,a(z,u,w)). [para(1167079(a,1),393579(a,1,3)),rewrite([840736(3),1167079(5),1000535(6)])]. 1190012 a(a(x,y,z),u,w) = a(x,y,a(w,u,z)). [para(381213(a,1),1167079(a,2,2)),rewrite([983870(5),1080165(5),974453(3),304101(8),1129972(7),1020749(6),1174353(5),50(6)])]. 1190013 T((x / y) * (R(z,u,w) \ z),y) = (y \ x) * (R(z,u,w) \ z). [para(1167079(a,1),432889(a,1,1,1)),rewrite([812086(4),1167079(7),812086(9)])]. 1190018 a(x,y,a(z,u,w)) * (v5 * a(z,u,a(x,y,w))) = v5. [para(1167079(a,1),388747(a,1,1,3)),rewrite([1014598(3),1167079(4),821068(5),1190012(4)])]. 1190019 a(x,y,a(z,u,w)) * (R(x,y,w) \ x) = L(R(x,y,w) \ x,u,z). [para(1167079(a,1),398601(a,1,1)),rewrite([1167079(4),821068(5),1190012(4),812086(5),1167079(7),812086(9),48(9)])]. 1190020 a(x,y,z) \ a(x,y,a(u,w,z)) = L(a(x,y,z) \ 1,w,u). [para(1167079(a,1),398601(a,1,2)),rewrite([1084615(4),1086557(5),1190012(3),698893(10)])]. 1190042 (x \ (y \ R(y,z,u))) * x = x * ((y \ R(y,z,u)) / x). [para(1167079(a,1),399773(a,1,1,2)),rewrite([1167079(6)])]. 1190049 L(x,y,a(z,x,y)) \ (z \ (x * (T(z,x) * y))) = L(y,z,x) * (z \ R(z,x,y)). [para(1167079(a,1),594514(a,1,1,3)),rewrite([1000535(4),784027(3),24258(5),1167079(10)])]. 1190108 L(x,y,z * (u * (w \ R(w,v5,v6)))) = L(x,y,a(w,v5,v6) * (u * z)). [para(1167079(a,1),301373(a,1,3,1)),rewrite([1000353(5),1167079(6)]),flip(a)]. 1190146 a(x * ((y * R(y,z,u)) * w),v5,v6) = a(x * (w * a(y,z,u)),v5,v6). [para(1167079(a,1),967855(a,1,1,1)),rewrite([1115971(5),13808(4),1167079(6),853000(9)]),flip(a)]. 1190151 (x * y) * (R(x,z,u) \ x) = x * (y * (R(x,z,u) \ x)). [para(1167079(a,1),1002238(a,1,1)),rewrite([812086(4),1167079(6),812086(7)])]. 1190178 L(x,y,z) * (R(y,z,x) \ y) = L(a(y,z,x) \ x,y,z). [para(1167079(a,1),1072217(a,2,1)),rewrite([784027(4),1072384(4),812086(7)]),flip(a)]. 1190182 L(x \ R(x,y,z),u,w) \ 1 = L(R(x,y,z) \ x,u,w). [para(1167079(a,1),1082077(a,2,1,1)),rewrite([1167036(3),812086(9),48(9)])]. 1190189 ((x \ R(x,y,z)) * u) \ 1 = (u \ 1) * (R(x,y,z) \ x). [para(1167079(a,1),1104895(a,1,1,1)),rewrite([1167079(7),812086(10)])]. 1190194 (x \ (1 / x)) / (x \ (y \ R(y,z,u))) = x \ (R(y,z,u) \ y). [para(1167079(a,1),1127305(a,1,2,2)),rewrite([1167079(9),812086(11),48(11)])]. 1190198 (x * (y \ R(y,z,u))) \ 1 = (x \ 1) * (R(y,z,u) \ y). [para(1167079(a,1),1104855(a,1,1,2)),rewrite([1167079(7),812086(10)])]. 1190215 L(x,y * (z * R(z,u,w)),v5) = L(x,y * a(z,u,w),v5). [para(1167079(a,1),1156578(a,1,2,2,1,1)),rewrite([812086(5),1190178(5),1164602(7),1167079(5),789962(7)]),flip(a)]. 1190280 R(x,y,z) * R(R(x,y,z) \ K(u,w),v5,v6) = L(K(u,w) * (x \ R(x,v5,v6)),y,z). [back_rewrite(776882),rewrite([1189890(11),26458(11)])]. 1190297 L(L(x \ R(x,y,z),u,w),v5,x) = L(x \ R(x,y,z),u,w). [back_rewrite(273256),rewrite([1189890(6),272839(4),1189890(8)])]. 1190382 R(x,y,R(z,u,w) \ z) = L(x,y,a(z,u,w)). [back_rewrite(840907),rewrite([1189994(6)])]. 1190418 R(x,y,z \ R(z,u,w)) = L(x,y,a(z,u,w)). [back_rewrite(840736),rewrite([1189994(6)])]. 1190492 a(x,y,a(y,z,u)) = a(y,y,a(u,z,x)). [back_rewrite(1182348),rewrite([1190012(5),784550(5),785946(4),785953(4)]),flip(a)]. 1190777 a(x,y,a(z,u,w)) * (w * v5) = w * (v5 * a(z,u,a(x,y,w))). [back_rewrite(1140201),rewrite([1190012(2),1190012(6)])]. 1190779 L(L(x,y,z) \ x,x,u) * (L(x,y,L(z,w,v5)) * (x \ u)) = u * a(z,y,a(v5,w,x)). [back_rewrite(1140199),rewrite([1190012(10)])]. 1190919 L(a(x,y,a(z,u,w)) * w,y,x) = L(w,y,L(x,u,z)). [back_rewrite(1128814),rewrite([1190012(2)])]. 1190981 a(x,y,a(z,u,w)) * (v5 * v6) = v5 * (a(z,u,a(x,y,w)) * v6). [back_rewrite(1128090),rewrite([1190012(2)])]. 1191022 a(x,y,a(z,u,w)) * (a(x,y,a(v5,v6,w)) * v7) = a(x,y,w) * (a(x,y,L(L(w,v6,v5),u,z)) \ v7). [back_rewrite(1125123),rewrite([1190012(2),1190012(4)])]. 1191328 a(x,y,z) * (u \ a(x,y,a(w,v5,z))) = a(x,y,L(z,v5,w)) * (u \ 1). [back_rewrite(1105897),rewrite([1190012(3)])]. 1191356 (a(x,y,z) / u) * (a(x,y,z) \ u) = a(x,y,a(u,u,z)). [back_rewrite(1103842),rewrite([1190012(7)])]. 1191425 ((x \ L(x,y,z)) * u) * (u \ (L(x,y,z) \ x)) = a(z,y,a(u,u,x)). [back_rewrite(1103765),rewrite([1190012(9)])]. 1191657 (x * L(x,y,z)) * (L(x * L(x,y,z),u,w) \ v5) = a(z,y,a(w,u,x)) * v5. [back_rewrite(1090011),rewrite([1190012(9)])]. 1191706 a(x,y,z) \ a(x,y,L(z,u,w)) = a(x,y,a(w,u,z)). [back_rewrite(1086557),rewrite([1190012(6)])]. 1191740 a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)) = a(w,u,a(x,y,z)) * a(x,y,a(v6,v5,z)). [back_rewrite(1086081),rewrite([1190012(9)])]. 1191832 a(x,y,z) \ a(x,y,L(L(z,u,w),v5,v6)) = a(x,y,a(v6,v5,z)) * a(x,y,a(w,u,z)). [back_rewrite(1084978),rewrite([1190012(7),1190012(9)])]. 1191876 (a(x,y,z) / u) \ a(x,y,L(z,w,v5)) = a(x,y,a(v5,w,z)) * u. [back_rewrite(1084882),rewrite([1190012(7)])]. 1191930 a(x,y,a(z,u,w)) * (v5 * a(x,y,w)) = v5 * a(x,y,L(w,u,z)). [back_rewrite(1084687),rewrite([1190012(2)])]. 1191931 a(x,y,L(z,u,w)) * (a(x,y,z) \ v5) = v5 * a(x,y,a(w,u,z)). [back_rewrite(1084681),rewrite([1190012(7)])]. 1191938 a(x,y,z) * a(x,y,a(u,w,z)) = a(x,y,L(z,w,u)). [back_rewrite(1084626),rewrite([1190012(3)])]. 1191943 a(x,y,z) * (u * a(x,y,a(w,v5,z))) = u * a(x,y,L(z,v5,w)). [back_rewrite(1084616),rewrite([1190012(3)])]. 1192002 a(x,y,a(z,u,w)) * (a(x,y,L(w,v5,v6)) \ v7) = a(x,y,L(L(w,v5,v6),u,z)) \ v7. [back_rewrite(1081796),rewrite([1190012(2)])]. 1192056 L(x \ L(x,y,z),u,w) * L(L(x,y,z) \ x,v5,v6) = a(z,y,a(w,u,x)) * a(v6,v5,a(z,y,x)). [back_rewrite(1080179),rewrite([1190012(9)])]. 1192150 a(x,y,a(z,u,w)) * a(v5,v6,a(z,u,w)) = a(z,u,a(v5,v6,w)) * a(z,u,a(x,y,w)). [back_rewrite(1076707),rewrite([1190012(2),1190012(4)]),flip(a)]. 1192162 x * a(y,z,a(x,u,w)) = L(x,u,a(y,z,w)). [back_rewrite(1076114),rewrite([1190012(2)])]. 1192167 a(x,y,a(z,u,w)) * z = L(z,u,a(x,y,w)). [back_rewrite(1075268),rewrite([1190012(2)])]. 1192174 a(x,y,a(L(z,u,w) * v5,v6,v7)) = a(x,y,a(z * L(v5,u,w),v6,v7)). [back_rewrite(1074415),rewrite([1190012(5),1065901(4),979501(4),1190012(8)])]. 1192358 a(x,y,a(z * L(L(z,u,w),v5,v6),v7,v8)) = 1. [back_rewrite(1029540),rewrite([1190012(5)])]. 1192434 L(x,y,L(z,u,w)) \ L(x,y,z) = a(z,y,a(w,u,x)). [back_rewrite(1020749),rewrite([1190012(6)])]. 1193062 (L(x,y,z) \ x) * (u * a(z,y,a(w,v5,x))) = L(L(x,y,z) \ x,v5,w) * u. [back_rewrite(974044),rewrite([1190012(4)])]. 1193081 a(x,a(y,z,x),u) = a(x,z,a(u,x,y)). [back_rewrite(973951),rewrite([1190012(2)]),flip(a)]. 1193107 a(x * L(x,y,z),u,w) = a(z,y,a(w,u,x)). [back_rewrite(973812),rewrite([1190012(5)])]. 1193483 x * ((a(y,z,a(u,w,v5)) / x) \ (a(v6,v7,v8) / x)) = (a(y,z,a(u,w,v5)) / x) \ a(v6,v7,v8). [back_rewrite(971204),rewrite([1190012(2),227821(7),1190012(9)])]. 1193900 (a(x,y,a(z,u,w)) / v5) \ a(z,u,a(v6,v7,w)) = a(z,u,a(v6,v7,w)) * (v5 * a(z,u,a(x,y,w))). [back_rewrite(941350),rewrite([1190012(5),1190012(8),1190012(10)])]. 1193962 (x * L(y \ R(y,z,u),w,v5)) * (R(y,z,u) \ y) = x * a(y,z,a(v5,w,u)). [back_rewrite(865508),rewrite([1190012(9)])]. 1194053 a(x,y,a(z,u,w)) * (z \ v5) = L(z,u,a(x,y,w)) \ v5. [back_rewrite(835302),rewrite([1190012(2)])]. 1194102 x \ L(R(x,y,z),y,a(u,w,z)) = L(x \ R(x,y,z),w,u). [back_rewrite(825144),rewrite([1190012(2),200485(9),825224(6),1007414(5),273476(5),395182(5)])]. 1194421 (x * x) * (y * a(z,u,a(w,v5,v6))) = x * ((a(w,v5,a(z,u,v6)) / x) \ y). [back_rewrite(787863),rewrite([1190012(7)])]. 1194602 L(x \ R(x,y,z),u,w) \ a(x,y,a(w,u,z)) = R(x,y,z) \ x. [back_rewrite(779408),rewrite([1190012(5)])]. 1194607 a(x,y,a(z,u,w)) * (x \ R(x,y,w)) = L(x \ R(x,y,w),u,z). [back_rewrite(779399),rewrite([1190012(2)])]. 1194632 L(R(x,y,z),y,a(u,w,z)) = x * L(x \ R(x,y,z),w,u). [back_rewrite(779316),rewrite([1190012(2),394232(3),63(3)])]. 1194695 R(x,y,z) * L(R(x,y,z) \ x,u,w) = L(x,y,a(w,u,z)). [back_rewrite(779198),rewrite([1190012(7),394232(8)])]. 1196037 (x * a(y,z,u)) * L(a(y,z,u) \ K(w,v5),v6,v7) = x * (a(y,z,a(v7,v6,u)) * K(w,v5)). [back_rewrite(430535),rewrite([1190012(9)])]. 1196303 a(x,y,a(z,a(x,y,u) * w,u)) = a(z,w,a(x,y,u)). [back_rewrite(413119),rewrite([1190012(4)])]. 1196345 a(x,a(y,z,u) * w,a(y,z,u)) = a(y,z,a(x,w,u)). [back_rewrite(398069),rewrite([1190012(6)])]. 1196412 L(x,y,a(z,u,w)) \ x = a(z,u,a(x,y,w)). [back_rewrite(395220),rewrite([1190012(5)])]. 1196414 x * (L(x,y,a(z,u,w)) \ v5) = v5 * a(z,u,a(x,y,w)). [back_rewrite(395178),rewrite([1190012(6)])]. 1196418 (x \ y) * a(z,u,a(x,w,v5)) = L(x,w,a(z,u,v5)) \ y. [back_rewrite(394153),rewrite([1190012(3)])]. 1196512 (x * x) * (a(y,z,a(u,w,v5)) * v6) = x * ((a(u,w,a(y,z,v5)) / x) \ v6). [back_rewrite(389084),rewrite([1190012(7)])]. 1196556 x / (y * a(z,u,a(w,v5,v6))) = (x / y) * a(w,v5,a(z,u,v6)). [back_rewrite(388790),rewrite([1190012(7)])]. 1196576 (x * a(y,z,a(u,w,v5))) \ v6 = (x \ v6) * a(u,w,a(y,z,v5)). [back_rewrite(388186),rewrite([1190012(7)])]. 1196868 a(x,y,a(z,u,w)) \ v5 = v5 * a(z,u,a(x,y,w)). [back_rewrite(386756),rewrite([1190012(5)])]. 1196987 x \ (y * (z * (u * a(w,v5,a(v6,v7,v8))))) = a(w,v5,a(v6,v7,v8)) * (x \ (y * (z * u))). [back_rewrite(172872),rewrite([1190012(2),1190012(8)])]. 1197044 a(c1,c2,a(c5,c4,c3)) != 1. [back_rewrite(296),rewrite([1190012(7)])]. 1197477 a(x \ (y * (z \ R(z,u,w))),v5,v6) = a(a(z,u,w) * (x \ y),v5,v6). [back_rewrite(1100642),rewrite([1190146(8),1100413(7),966855(4)]),flip(a)]. 1197573 L(x \ R(x,y,z),u,w) \ v5 = v5 * L(R(x,y,z) \ x,u,w). [back_rewrite(1098117),rewrite([1190182(5)]),flip(a)]. 1197590 L(x \ (R(y,z,u) \ y),x,a(y,z,u)) = (x \ 1) * (R(y,z,u) \ y). [back_rewrite(1000517),rewrite([1190189(10)])]. 1197631 L(x,(R(R(y,z,y),u,w) \ y) \ v5,v6) = L(x,v5 * a(y,u,w),v6). [back_rewrite(829121),rewrite([1190215(9)])]. 1197663 L(x,y * (R(z,u,w) \ z),v5) = L(x,y * a(z,u,w),v5). [back_rewrite(812244),rewrite([1190215(8)])]. 1197673 R(T(x,y),z,u) \ R(R(x,z,u),w,v5) = L(T(x,y) \ R(x,w,v5),z,u). [back_rewrite(776887),rewrite([1190280(6),9113(4)]),flip(a)]. 1197744 L(x,a(x,y,z),u) = L(x,x,a(z,y,u)). [back_rewrite(1100248),rewrite([1192162(3)]),flip(a)]. 1198272 a(x,a(x,y,z),u) = a(x,y,a(u,x,z)). [back_rewrite(1014194),rewrite([1193081(4),979002(4)]),flip(a)]. 1198827 (x \ (a(x,y,L(z,u,w)) \ v5)) * a(x,y,z) = L(x,y,a(w,u,z)) \ v5. [back_rewrite(1083007),rewrite([1196418(10)])]. 1198953 L(L(R(x,y,z) \ x,u,w),u,w) = R(x,y,z) \ x. [back_rewrite(1194602),rewrite([1197573(6),17060(6),1190019(5)])]. 1198957 L(R(x,y,z) \ x,u,w) \ 1 = L(x \ R(x,y,z),u,w). [back_rewrite(1182209),rewrite([1197573(5),884384(8),1055711(7),287698(5)])]. 1199047 x / L(y \ R(y,z,u),w,v5) = x * L(R(y,z,u) \ y,w,v5). [back_rewrite(259245),rewrite([1197573(8)])]. 1199226 (x * R(y,z,u)) / L(y,y,a(u,z,x)) = x * (y \ R(y,z,u)). [back_rewrite(1164525),rewrite([1197744(4)])]. 1199364 L(x,y,z) \ L(x,x,a(z,y,u)) = L(L(x,y,z) \ x,x,u). [back_rewrite(1120264),rewrite([1197744(3)])]. 1199434 L(x,a(y,z,x),u) = L(x,x,a(y,z,u)). [back_rewrite(1014059),rewrite([1197744(4)])]. 1199789 L(R(x,y,z) \ x,u,w) \ v5 = v5 * L(x \ R(x,y,z),u,w). [back_rewrite(1098190),rewrite([1198957(5)]),flip(a)]. 1199935 L(L(x,x,a(y,y,z)),y,z) = a(z,y,x) \ x. [back_rewrite(984740),rewrite([1199434(3),660979(3)])]. 1200424 x * a(y,y,a(z,u,x)) = L(x,y,a(y,u,z)). [para(1190492(a,1),339095(a,2,2)),rewrite([339095(5),394232(3)]),flip(a)]. 1200947 x \ (R(R(y,z,u),w,v5) \ R(y,w,v5)) = (x \ (1 / x)) / (x \ L(y \ R(y,z,u),w,v5)). [para(65(a,1),1190194(a,2,2,1)),rewrite([1189890(7)]),flip(a)]. 1201016 1 / (x \ (R(y,z,u) \ y)) = ((R(y,z,u) \ y) / x) \ 1. [para(1190194(a,2),115269(a,1,1,1)),rewrite([1190194(7),812085(6),901290(7),323(4),49(5),648035(4)]),flip(a)]. 1201043 (x \ (1 / x)) / (x \ L(y \ R(y,z,u),w,v5)) = x \ (R(y,z,L(u,w,v5)) \ y). [para(206639(a,1),1190194(a,1,2,2,2)),rewrite([1167144(6),206639(12)])]. 1201064 x \ (L(R(y,z,u),w,v5) \ L(y,w,v5)) = x \ (R(y,z,L(u,w,v5)) \ y). [para(173671(a,2),1190194(a,1,2,2)),rewrite([63(9),277132(10),25954(10),68073(9),272488(9),324(6),48(6),1201043(8),63(8),647902(12)]),flip(a)]. 1201065 x \ (R(R(y,z,u),w,v5) \ R(y,z,u)) = x \ (R(y,w,L(v5,z,u)) \ y). [para(280576(a,2),1190194(a,2,2)),rewrite([1189890(7),1201043(8),280576(14)]),flip(a)]. 1201069 (x * x) \ (R(y,z,L(u,w,v5)) \ y) = L((x * x) \ (R(y,z,u) \ y),w,v5). [para(291003(a,2),1190194(a,1,2)),rewrite([67502(4),226168(5),291003(11),1189890(10),25944(10),304054(11),1199047(9),939219(9),25944(6),25944(7),25958(9),72002(8),287703(5),1201065(11)]),flip(a)]. 1201080 (x * (y \ R(y,z,u))) * (x \ (R(y,z,u) \ y)) = a(x,x,a(y,z,u)). [para(1190194(a,2),345579(a,1,2)),rewrite([812085(3),1190198(5),1190194(12),356769(9),592635(9),1014596(3),812085(5)]),flip(a)]. 1201082 x * L(y \ R(y,z,u),x,x) = ((R(y,z,u) \ y) / x) \ 1. [para(1190194(a,2),346450(a,1,1,2)),rewrite([812085(3),1190194(10),1201080(7),812085(5),1002238(6),1196868(5),1007414(5),273476(5),395182(5),1194102(4),1201016(9)])]. 1201087 (x \ (R(y,z,u) \ y)) \ (R(y,z,u) \ y) = (x \ 1) \ 1. [para(1190194(a,2),359041(a,1,1)),rewrite([1190194(7),287703(7),922671(11),323(7),7275(10)])]. 1201107 (x \ L(x,y,z)) * (R(u,w,v5) \ u) = L(x,y,z) * (x \ (R(u,w,v5) \ u)). [para(1190194(a,2),457478(a,2,2)),rewrite([1000516(5),395248(4),1190194(13)])]. 1201145 L(x,(y * R(y,z,u)) * w,v5) = L(x,w * a(y,z,u),v5). [para(1190194(a,2),28126(a,1,2,1)),rewrite([1190194(7),1000516(6),1197590(5),1197663(6),25716(5),680884(7)]),flip(a)]. 1201277 x \ (R(R(y,z,u),w,v5) \ R(y,w,v5)) = x \ (R(y,z,L(u,w,v5)) \ y). [back_rewrite(1200947),rewrite([1201043(13)])]. 1201305 L(x,(y \ R(y,z,u)) * w,v5) = L(x,w * a(y,z,u),v5). [back_rewrite(681351),rewrite([1201145(8)])]. 1201341 R(R(x,y,z),u,w) \ R(x / (v5 * v5),y,z) = L((v5 * v5) \ (R(x,u,w) \ x),y,z). [back_rewrite(828916),rewrite([1201277(12),1201069(11)])]. 1201354 R(R(x,y,z),u,w) \ R(x,y,z) = L(R(x,u,w) \ x,y,z). [back_rewrite(828930),rewrite([1201341(7),25954(7),51(6)]),flip(a)]. 1201357 x \ (R(y,z,L(u,w,v5)) \ y) = x \ L(R(y,z,u) \ y,w,v5). [back_rewrite(1201065),rewrite([1201354(4)]),flip(a)]. 1201380 x \ (L(R(y,z,u),w,v5) \ L(y,w,v5)) = x \ L(R(y,z,u) \ y,w,v5). [back_rewrite(1201064),rewrite([1201357(9)])]. 1203211 x \ (y \ ((y * a(z,u,w)) * x)) = a(z,u,L(L(w,x,y),y,x)). [para(5534(a,1),1190049(a,1,1)),rewrite([385017(3),410(4),1087056(7),393579(9),394194(10),1083625(10),1082366(9),1087056(8)])]. 1203345 a(x \ (y \ (z \ (y * (z * u)))),w,v5) = a(x \ L(L(u,y,z),z,y),w,v5). [para(1190049(a,1),236030(a,1,1,2)),rewrite([25262(2),204513(3),1197477(6),1099628(5),13927(7),236578(15),788782(13),96322(11)]),flip(a)]. 1203413 L(a(x,a(y,z,u),w) * w,x,a(y,z,u)) = a(y,z,u) * (x \ (a(y,z,u) \ (x * w))). [para(397122(a,1),1190049(a,1,2,2)),rewrite([50864(7),5535(6),385657(8),408(6),397087(8),101346(6),26414(10),206751(12),385866(10),386956(11),195716(11)]),flip(a)]. 1203415 x \ (y \ ((a(z,u,w) \ y) * x)) = L(L(a(z,u,w) \ 1,x,y),y,x). [para(397148(a,1),1190049(a,1,2,2,2)),rewrite([72770(7),5534(6),394737(3),410(4),206104(13),393579(11),394194(12),17022(12),397148(11),1076543(9)])]. 1203797 a(x,y,a(z,u,w)) * a(x,y,a(u,z,w)) = a(u,a(x,y,w),z). [back_rewrite(1036580),rewrite([1203211(6),397258(6),1082077(6),1082077(5),1081632(8),48(6),1191832(5)])]. 1203954 a(x,a(y,z,u),w) * a(x,a(y,z,u),w) = 1. [back_rewrite(634056),rewrite([1203415(5),1081632(10),400742(8),1191832(7),1203797(7)])]. 1204027 a(x \ L((y * z) \ u,y,z),w,v5) = a(x \ (y \ (z \ u)),w,v5). [para(255(a,2),1203345(a,1,1,2,2,2)),rewrite([255(5),21384(6),96521(8),50(5),96449(5),134529(4),96597(11),11892(7)]),flip(a)]. 1204159 a(x \ (y \ (z \ ((z * u) * y))),w,v5) = a(x \ L(L(u,z,y),y,z),w,v5). [para(565641(a,1),1203345(a,2,1,2,1)),rewrite([171980(6),104859(6),105429(7),41109(8),12491(9),1203345(6),1204027(11)]),flip(a)]. 1204316 x * a(y,z,L(L(u,x,w),w,x)) = w \ ((w * a(y,z,u)) * x). [hyper(5457,a,1203211,a)]. 1205284 T((x \ R(x,y,z)) / (1 / u),u) = (u \ 1) \ (x \ R(x,y,z)). [hyper(5083,a,1199226,a,b,81194,a),rewrite([217392(4),350(6),377(6),780982(5),273661(6),485215(6)])]. 1205292 ((x \ y) * R(z,u,w)) / L(z,z,a(w,u,x * y)) = (x \ y) * (z \ R(z,u,w)). [hyper(5083,a,1199226,a,b,43723,a),rewrite([14980(11),985627(10),5754(12),1039(2),235385(12),5784(4)])]. 1205365 (x \ R(x,y,z)) * R(x,u,w) = R(x,y,z) * (x \ R(x,u,w)). [hyper(5081,a,151404,a,b,1199226,a),rewrite([411(6,R),287528(5),323(3),408(4),990045(9),985426(10),626561(9),828993(8)])]. 1205420 (x \ R(x,y,z)) * a(u,w,v5) = R(x,y,z) * (x \ a(u,w,v5)). [hyper(5081,a,1143,a(flip),b,1199226,a),rewrite([5534(10),828993(8)])]. 1205520 L(x,y,z * ((u \ R(u,w,v5)) * v6)) = L(x,y,a(u,w,v5) * (v6 * z)). [para(1199226(a,2),85452(a,2,3,2)),rewrite([273818(4),822593(7),1199226(10),1190108(10)])]. 1205765 a(x,y * (z * (u \ R(u,w,v5))),a(v6,v7,v8)) = a(x,y * (z * (u * R(u,w,v5))),a(v6,v7,v8)). [para(1199226(a,2),785983(a,1,2)),rewrite([985627(6),1205292(7),854658(6),785983(6)]),flip(a)]. 1205982 a(x,y * (R(y,z,u) * (w \ v5)),a(v6,v7,v8)) = a(x,w * (v5 * (y * R(y,z,u))),a(v6,v7,v8)). [back_rewrite(823065),rewrite([1205765(12)])]. 1206043 a(x,(y * R(y,z,u)) * w,v5) = a(x,w * a(y,z,u),v5). [hyper(295,a,1089919,a(flip),b,1205520,a),rewrite([174245(4),1201305(8),1108247(12)])]. 1206047 L(x \ R(x,y,(z \ R(z,u,w)) * v5),x,a(z,u,w) * (v5 * y)) = a(x,y,(z * R(z,u,w)) * v5). [hyper(295,a,256868,a(flip),b,1205520,a),rewrite([341427(4)]),flip(a)]. 1206048 L(x,y,z * (a(z,u,w) * v5)) = L(x,y,v5 * R(z,u,w)). [hyper(295,a,145169,a(flip),b,1205520,a),rewrite([1002176(6)]),flip(a)]. 1206076 L(x,y,z * ((z \ R(z \ 1,u,w)) * v5)) = L(x,y,a(z,u,w) * (v5 * z)). [para(134854(a,1),1205520(a,1,3)),rewrite([46610(10),85484(13)])]. 1206131 L(x,y,a(z,u,w) * (v5 * z)) = L(x,y,v5 * R(z,u,w)). [para(626243(a,2),1205520(a,1,3)),rewrite([1168730(3),1198272(2),1196868(4),17777(4),1192167(3),63(3),788753(5)]),flip(a)]. 1206187 a(x,y * (z \ R(z,u,w)),v5) = a(x,y * a(z,u,w),v5). [back_rewrite(268709),rewrite([1206043(4)]),flip(a)]. 1206242 L(x,y,z * ((z \ R(z \ 1,u,w)) * v5)) = L(x,y,v5 * R(z,u,w)). [back_rewrite(1206076),rewrite([1206131(11)])]. 1206295 a(x,y * (z * R(z,u,w)),a(v5,v6,v7)) = a(x,y * a(z,u,w),a(v5,v6,v7)). [back_rewrite(854658),rewrite([1206187(5)]),flip(a)]. 1206319 a(x,y * (R(y,z,u) * w),a(v5,v6,v7)) = a(x,w * a(y,z,u),a(v5,v6,v7)). [back_rewrite(786382),rewrite([1206295(10)])]. 1206320 a(x,y * (z * (u * R(u,w,v5))),a(v6,v7,v8)) = a(x,z * (y * a(u,w,v5)),a(v6,v7,v8)). [back_rewrite(1205982),rewrite([1206319(6),785983(5)]),flip(a)]. 1206324 a(x,y * (z * (u \ R(u,w,v5))),a(v6,v7,v8)) = a(x,z * (y * a(u,w,v5)),a(v6,v7,v8)). [back_rewrite(1205765),rewrite([1206320(12)])]. 1206361 L(x,y,z * R(u,w,L(v5,v6,v7))) = L(x,y,z * R(u,w,v5)). [hyper(295,a,993400,a,b,1206131,a),rewrite([1206131(5)])]. 1206379 L(x,y,z * (u * a(z,w,v5))) = L(x,y,u * R(z,w,v5)). [hyper(295,a,301373,a(flip),b,1206131,a)]. 1206412 L(x,y,R(z,u,w) * R(z,v5,v6)) = L(x,y,z * R(R(z,u,w),v5,v6)). [para(11009(a,2),1206131(a,1,3,2)),rewrite([1088849(2),11009(4),1002176(5),1206048(6),1206361(5)])]. 1206488 L(x,y,z \ R(R(z,u,w),v5,v6)) = L(x,y,z * R(R(z,u,w),v5,v6)). [para(173697(a,1),1206131(a,1,3,2)),rewrite([1088849(4),46610(4),1087203(7),1012742(8),336273(7),1206379(8),1206361(7),698665(6),698846(6),1206412(4),283370(11),283722(10)]),flip(a)]. 1206494 L(x,y,a(z,u,w) * R(z,v5,v6)) = L(x,y,L(L(z,u,w),v5,v6)). [para(201268(a,1),1206131(a,1,3,2)),rewrite([1088849(2),208533(7),993400(5),201268(8),201268(7),209136(9),209955(9),28434(9)])]. 1206507 L(x,y,L(L(z \ 1,u,w) \ v5,v6,v7)) = L(x,y,L(L(z,u,w) \ v5,v6,v7)). [para(173671(a,1),1206131(a,1,3,2)),rewrite([277393(9),1007789(7),217392(9),173671(8),209136(10)]),flip(a)]. 1206623 L(x,y,a(z,u,w) * a(z,v5,v6)) = L(x,y,z * R(R(z,u,w),v5,v6)). [para(62944(a,1),1206131(a,1,3,2)),rewrite([46610(3),1000416(5),357420(10),1206412(8)])]. 1206797 L(x,y,R(R((z \ 1) \ 1,u,w),v5,v6) * z) = L(x,y,z * R(R(z,v5,v6),u,w)). [back_rewrite(283472),rewrite([1206488(12)])]. 1206923 x / (L(y \ R(y,z,u),w,v5) * x) = L(R(y,z,u) \ y,w,v5). [hyper(5142,a,1199789,a,b,278051,a),rewrite([1199047(8),48(8),50(8),6174(8),287528(7),323(5),408(6),1199047(10),48(10)])]. 1207044 L(L(R(x,y,z) \ x,u,w),v5,v6) \ v7 = v7 * L(L(x \ R(x,y,z),v5,v6),u,w). [hyper(7088,a,354134,a,b,1199789,a(flip)),rewrite([6174(9),287528(8),323(6),408(7),1199789(16),1197573(18),1140115(18),1130757(9),1199789(13),1193962(16),7735(12),17022(11),1194607(10)])]. 1207185 L(x,y * L(R(z,u,w) \ z,v5,v6),v7) = L(x,y * L(z \ R(z,u,w),v5,v6),v7). [para(1199789(a,1),68875(a,1,2,1)),rewrite([48(5),1197573(4),1199789(9)])]. 1207245 R(x,L(R(y,z,u) \ y,w,v5),v6) = R(x,L(y \ R(y,z,u),w,v5),v6). [para(1199789(a,1),206751(a,1,2)),rewrite([48(5)]),flip(a)]. 1207327 L(x,L(R(y,z,u) \ y,w,v5) * v6,v7) = L(x,L(y \ R(y,z,u),w,v5) * v6,v7). [para(1199789(a,1),25716(a,1,2,1)),rewrite([48(5)]),flip(a)]. 1209134 a(x * y,z,a(u,w,v5)) = a(u,w,a(y * x,z,v5)). [hyper(5083,a,1190981,a(flip),b,15119,a(flip)),rewrite([16926(7),323(3),48(5)]),flip(a)]. 1209197 L(x,y * (z * ((a(u,w,a(v5,v6,v7)) / z) \ v8)),v9) = L(x,y * v8,v9). [para(1190981(a,2),25672(a,2,2)),rewrite([1196512(5),21156(12)])]. 1209563 a(x * L(y,z,u),w,a(v5,v6,v7)) = a(v5,v6,a(y * L(x,z,u),w,v7)). [hyper(5081,a,1192174,a,b,1209134,a),rewrite([1192174(4),991909(8)]),flip(a)]. 1210024 a(x * L((x * L(L(x,y,z),y,z)) \ u,y,z),w,a(v5,v6,v7)) = a(v5,v6,a(x * L(u,y,z),w,v7)). [para(50481(a,2),1209563(a,2,3,1)),rewrite([1140932(3),1140932(11),380545(12),380545(11),1098212(14),12539(14),12534(13),46633(13),1192174(12)])]. 1210380 a(x,y,a(z,u,w)) * (v5 \ x) = v5 \ L(x,y,a(z,u,w)). [hyper(5081,a,268782,a(flip),b,395304,a),rewrite([789049(10),268782(9)]),flip(a)]. 1210820 x * L(L(1 / y,y,x),z,a(u,w,v5)) = a(y,z,a(u,w,v5)) * (x / y). [para(401857(a,1),395304(a,1,2)),rewrite([1079373(5),1087056(4),974609(5),12554(4),395104(4),48(2)]),flip(a)]. 1211237 L(x,y,a(z,u,w)) \ R(x,v5,v6) = x \ L(R(x,v5,v6),y,a(z,u,w)). [hyper(5083,a,272623,a(flip),b,1210380,a),rewrite([1088849(3),1087056(2),974609(3),395884(6),1059281(5),1196868(4),17777(4),1192167(3),63(3)]),flip(a)]. 1211447 a(x,y,a(z,u,w)) * (v5 \ z) = v5 \ L(z,u,a(x,y,w)). [para(381(a,2),1210380(a,2,2)),rewrite([785946(4),1196345(4),381(10),784482(8),1076471(8)])]. 1212455 (x \ y) * a(z,u,a(y,w,v5)) = x \ L(y,w,a(z,u,v5)). [hyper(295,a,225398,a,b,1211447,a),rewrite([6706(3),1196868(3),385866(7),635963(7),5531(7),1196576(4)])]. 1212559 L(x,y,a(z,u,w)) \ L(L(x,v5,v6),v7,v8) = x \ L(L(L(x,v5,v6),v7,v8),y,a(z,u,w)). [para(149084(a,2),1211447(a,1,2)),rewrite([1079373(3),1079373(3),974609(4),974609(3),149084(7),1194053(6)])]. 1212602 x * L(x \ (y \ x),z,a(u,w,v5)) = L(y,z,a(u,w,v5)) \ x. [para(1211447(a,2),307607(a,1,1)),rewrite([323(3),49(4),1194053(4)]),flip(a)]. 1212790 a(x,y,a(z,u,w)) * (x \ v5) = L(x,y,a(z,u,w)) \ v5. [back_rewrite(395255),rewrite([1212602(9)])]. 1213200 (x \ y) * a(z,u,a(w,y,y)) = x \ L(y,y,a(z,u,w)). [hyper(295,a,1211447,a(flip),b,811505,a),flip(a)]. 1214081 a(x,y,R(z,u,w) * (z \ v5)) = a(x,y,z * (R(z,u,w) \ v5)). [para(62943(a,1),72751(a,1,3,2)),rewrite([209136(10),1082662(10),60426(8),136497(10),72848(10)])]. 1214243 a(x,x,x * (R(x,y,z) \ u)) = a(x,x,x * (u * R(x,y,z))). [back_rewrite(1037006),rewrite([1214081(4)])]. 1214431 a(x,y,z \ ((u / w) \ v5)) = a(x,y,z \ ((w \ u) \ v5)). [para(3361(a,1),266547(a,2,3,2,1)),rewrite([1115978(9),1115931(6),1115931(10)])]. 1217048 (a(x,y,z) \ u) * (w * (v5 * a(x,y,z))) = (u * a(x,y,z)) * (w * (a(x,y,z) \ v5)). [para(1075855(a,1),190596(a,1,2)),rewrite([6706(3),397148(4),397122(15),1077825(13)])]. 1218221 a(x,y,z) * (R(u,w,v5) * (u \ a(x,y,z))) = z * (L(L(z,y,x),y,x) \ (u \ R(u,w,v5))). [hyper(295,a,820895,a,b,1144162,a),rewrite([1205420(5)])]. 1218254 a(x,y,z) * (a(x,y,z) / z) = 1 / L(L(z,y,x),y,x). [hyper(266,a,409886,a(flip),b,1144162,a(flip)),rewrite([626603(4),1146600(10),378054(11),378054(10),163644(10)])]. 1218404 x * a(y,z,L(u,w,a(y,z,u) * (w * x))) = w * ((a(y,z,u) \ w) \ x). [para(1144162(a,1),598732(a,2,1)),rewrite([1094028(8),1187085(8),1190012(8),1196303(8),451620(6),1081850(8),1141918(14),1144414(13)])]. 1218891 x * a(y,z,L(L(u,x,w),w,x * a(y,z,u))) = (a(y,z,u) \ w) \ (w * x). [hyper(266,a,594482,a,b,1218404,a(flip)),rewrite([85268(5),788863(4),1086088(5),85268(10),788863(9),1086088(10),974609(10),7735(8),1083625(7),1082366(4),1087056(5)])]. 1218904 (a(x,y,z) \ u) \ R(u,w,v5) = R(u,w,v5) * (u \ a(x,y,z)). [hyper(266,a,62761,a,b,1218404,a(flip)),rewrite([1000248(6),1084694(6)]),flip(a)]. 1219491 a(x,y * (z * ((a(u,w,v5) \ z) \ v6)),a(v7,v8,v9)) = a(x,y * (v6 * a(u,w,v5)),a(v7,v8,v9)). [para(1218404(a,1),785983(a,2,2,2)),rewrite([1085454(9),785983(5)]),flip(a)]. 1223139 (1 / L(L(x,y,z),y,z)) * L(a(z,y,x) \ x,u,w) = x * L(x \ a(z,y,x),u,w). [para(1155360(a,1),160170(a,2,2)),rewrite([561(5),933138(4),1218254(4),458244(13),1162388(13)])]. 1223208 a(x,y,z) * L(z,u,L(w,y,x)) = L(z * a(x,y,z),u,w). [para(1155360(a,1),26163(a,2,2)),rewrite([25954(7),68073(6),397087(4),400178(6)]),flip(a)]. 1223594 (x \ L(L(a(x,y,z) \ 1,u,w),v5,v6)) * a(x,y,z) = L(x \ a(x,y,a(v6,v5,z)),y,a(w,u,z)). [para(1223139(a,2),1005362(a,1,1)),rewrite([1087056(3),1087056(4),1082637(4),6706(3),1196868(7),1191938(7),1087056(6),400742(7),1191832(6),48(7),1003545(8),339031(7),1165232(6),1164939(5),1076543(9),1081548(13),1059281(11),1082077(10),1082077(9)]),flip(a)]. 1225254 a(x,y,z) \ a(u,w,L(v5,x,x)) = L(a(x,y,z) \ a(u,w,v5),x,x). [para(413529(a,2),1002925(a,2,1)),rewrite([1087056(3),6706(7),1104084(9),397148(9),1104084(9),397148(9)])]. 1229329 x * a(y,a(z,u,w),x) = L(x,a(z,u,w),y). [para(396724(a,1),211789(a,1,2,1)),rewrite([396724(7),1203954(7),49(4),396724(6),6706(6),386929(6),48(6),6706(5),386929(5)]),flip(a)]. 1229818 (L(x,a(y,z,u),w) * a(y,z,u)) * w = x * (a(y,z,u) * w). [back_rewrite(1029899),rewrite([1229329(5),380(5)]),flip(a)]. 1229925 (x \ ((a(y,z,u) \ x) * w)) * a(y,z,u) = L(w,a(y,z,u),x). [back_rewrite(597912),rewrite([1229329(9)])]. 1229933 L(x,x,a(y,z,u)) \ (((1 / x) \ a(y,z,u)) * w) = a(y,z,u) * L(w,a(y,z,u),x). [back_rewrite(596140),rewrite([1229329(12)])]. 1230047 a(x,a(y,z,u),w) * w = L(w,a(y,z,u),x). [back_rewrite(1029934),rewrite([1229818(5),143704(7),70(2),48(2)]),flip(a)]. 1230055 (x \ y) * a(z,a(u,w,v5),x * y) = L(x \ y,a(u,w,v5),z). [back_rewrite(790827),rewrite([1229925(7)]),flip(a)]. 1230056 x * (a(y,z,u) * a(w,a(y,z,u),x)) = a(y,z,u) * L(x,a(y,z,u),w). [back_rewrite(611445),rewrite([1229933(8)]),flip(a)]. 1230078 a(x,y,z) * (u \ (a(x,y,z) \ (u * w))) = L(L(w,a(x,y,z),u),u,a(x,y,z)). [back_rewrite(1203413),rewrite([1230047(3)]),flip(a)]. 1230115 a(x,y,z) * L(u \ w,a(x,y,z),u * a(x,y,z)) = (a(x,y,z) \ u) \ w. [back_rewrite(677552),rewrite([1230055(8)])]. 1230129 a(x,y,z) * L(u,a(x,y,z),w * a(x,y,z)) = L(a(x,y,z) * u,a(x,y,z),w). [back_rewrite(862029),rewrite([1230056(7)])]. 1230156 L(x * a(y,z,u),a(y,z,u),a(y,z,u) * w) = a(y,z,u) * L(x,a(y,z,u),w). [back_rewrite(617196),rewrite([1230056(11)])]. 1230304 L(a(x,y,z) * (u \ w),a(x,y,z),u) = (a(x,y,z) \ u) \ w. [back_rewrite(1230115),rewrite([1230129(7)])]. 1230343 a(x,a(y,z,u),w) * (v5 * w) = v5 * L(w,a(y,z,u),x). [hyper(5142,a,1229329,a,b,738280,a),rewrite([136128(6),396754(5),7734(5),428945(6),52(5)])]. 1231703 a(x,y,L(z,u,u)) * (u \ 1) = u \ a(x,y,z). [para(833082(a,2),1230078(a,1,2,2)),rewrite([1104084(6),490936(7),403185(6),1103890(7),768519(8),1191356(6),1191328(5),1104084(9),1230304(11),1104084(9),1165062(11)])]. 1231943 a(x,y,L(z,u,u)) * (1 / u) = a(x,y,z) / u. [hyper(5142,a,1231703,a,b,120122,a(flip)),rewrite([385459(5),69015(5),385459(9),69015(9),26414(9),27381(7),28083(5),28115(3),385459(7),69015(7),57871(8),71342(8),9510(9),7726(9),7726(8),77(7),49(6),413546(8)])]. 1231995 a(x,y,L(z,u,u)) * (a(w,v5,v6) \ (u \ 1)) = (a(w,v5,v6) * u) \ a(x,y,z). [hyper(5081,a,385453,a,b,1231703,a),rewrite([385453(5),1083356(10),1104895(10)]),flip(a)]. 1232333 (a(x,y,z) * L(u,a(x,y,z),w)) * w = u * (a(x,y,z) * w). [para(1231703(a,2),1003370(a,1,1,1)),rewrite([5535(5),386929(5),48(5),626374(5),1230343(5),547(7)])]. 1232478 L((x \ 1) * a(y,z,u),x,x) = a(y,z,u) / x. [hyper(295,a,1005239,a,b,1231943,a),rewrite([12554(3),46610(3),12554(4),46610(4),1225254(5),710176(8),400273(7),1059281(6),1062502(9),454501(8),1072907(6),978447(4)])]. 1233043 L(a(x,y,z) * (u \ 1),u,u) = a(x,y,z) / u. [hyper(5142,a,1232478,a,b,42302,a(flip)),rewrite([12023(4),11959(4),26403(9),26505(7),9510(7),26653(7),7726(6),399655(6),94649(3),394727(5)])]. 1233300 a(x,y,a(a(z,u,w) * (v5 \ v6),v7,v8)) = a(x,y,a(a(z,u,w) * (v5 * v6),v7,v8)). [para(1232478(a,1),1192174(a,1,3,1,1)),rewrite([12534(4),672264(4),46528(12),190653(10),1130984(12),758229(10)]),flip(a)]. 1233579 L(L(a(x,y,z) * (u \ 1),w,v5),u,u) = L(a(x,y,z) / u,w,v5). [para(1233043(a,1),64(a,1,1)),flip(a)]. 1239430 a(x * (y * R(z,y,x \ (y \ x))),u,a(w,v5,v6)) = a(z * (x * y),u,a(w,v5,v6)). [para(343413(a,2),396351(a,1,1)),rewrite([1019438(9),438652(4),1094591(8),396183(7),396183(13),396183(13),492063(13)])]. 1239915 T(x / (y * (z \ L(z,u,w))),y) = ((z \ L(z,u,w)) * y) \ x. [hyper(7088,a,53,a(flip),b,309325,a),rewrite([414399(8),323(5),48(6)])]. 1241482 T(((x \ L(x,y,z)) * u) \ K(w,u \ 1),w) = ((x \ L(x,y,z)) * u) \ 1. [hyper(5081,a,31873,a,b,1239915,a),rewrite([12016(9),975147(7),49(7),378058(7),323(4),1239915(14)])]. 1244212 L(x,x,a(y,z,u)) \ (L(u,z,y) \ u) = (x \ 1) * (L(u,z,y) \ u). [hyper(5083,a,382630,a(flip),b,335460,a),rewrite([28098(4),982873(8)]),flip(a)]. 1245955 L(R(x,y,z),u,w) \ L(x,u,w) = L(R(x,y,z) \ x,u,w). [hyper(295,a,49326,a(flip),b,298396,a),rewrite([63(6),291260(8),51(9),647897(6),63(8),95757(12),291260(10),1201380(10),25944(9),25958(11),648011(10),172565(9),212016(10),287703(10)])]. 1246313 x * ((R(x,y,z) \ 1) * (x \ L(x,u,w))) = L(x,u,w) * (R(x,y,z) \ 1). [para(298396(a,1),349543(a,1,2)),rewrite([1201107(5),63663(4)]),flip(a)]. 1246358 (x * (1 / R(x,y,z))) \ u = (x * R(1 / x,y,z)) * u. [para(298396(a,1),21004(a,1,2,1)),rewrite([519622(4),64714(3),812085(6),823114(7),265768(5),446432(9),63438(12),648318(10)]),flip(a)]. 1246389 (a(x,y,L(z,u,w)) * z) * (R(z,u,w) \ 1) = a(x,y,L(z,u,w)) * (R(z,u,w) \ z). [para(298396(a,1),629630(a,2,2)),rewrite([72770(4),990045(2),72770(11),990045(9)])]. 1246544 R(x,L(y \ R(y,z,u),w,v5),v6) = L(x,a(y,z,u),v6). [back_rewrite(1164905),rewrite([1245955(4),1207245(4)])]. 1249212 x * ((T(y,z) / x) * a(u,w,v5)) = T(x * (a(u,w,v5) * (y / x)),z). [para(41696(a,1),1083439(a,1,1)),rewrite([28057(6),96853(6),1085982(6),385017(7),382469(6),1085970(4),428393(5)]),flip(a)]. 1249213 a(x,y,z * (a(u,w,v5) * (z \ v6))) = a(x,y,v6 * a(u,w,v5)). [para(41696(a,1),1102824(a,1,3,1)),rewrite([385017(5),382469(4),13983(6),77732(5),51(4),1249212(8),13983(9),1186342(8)]),flip(a)]. 1249908 (x \ 1) * L(y,x,a(x,z,u)) = x \ L(y,x,L(x,z,u)). [para(605391(a,1),1155177(a,1,2,1,3)),rewrite([72770(5),605391(8),646032(7),1196868(6),48(6),1190020(5),1082368(6),1059281(4),1076266(3),356769(8),592635(8),1196868(9),7735(9),1200424(8)]),flip(a)]. 1262976 ((x \ (y \ z)) * y) * (u / ((x \ (y \ z)) * y)) = (x \ T(z,y)) * (u / (x \ T(z,y))). [para(11972(a,2),520555(a,1,2,1)),rewrite([11972(3),380561(8),377524(8),423944(8),372457(7),417863(7),524383(7),447119(7),35985(6),532132(6),520555(7),411397(14),434203(14)]),flip(a)]. 1263298 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(406823(a,2),520555(a,1,2,2)),rewrite([406823(11),10756(12),27834(9),36703(9),26959(9),373052(8),418326(8),109417(7),96205(6),208379(5),360842(5),411838(15),1262976(15),236889(12),99855(11)])]. 1266255 L(x,y,L(z,u,w) * L(v5,v6 \ L(z \ 1,u,w),v6)) = L(x,y,v6 * ((v6 \ L(z \ 1,u,w)) * v5)). [para(24263(a,1),158259(a,1,3)),flip(a)]. 1267140 L(x,y,a(z,x,y)) \ (z \ ((z * x) * R(y,u,w))) = a(z,x,L(y,u,w)) * R(y,u,w). [para(594514(a,2),4085(a,2,1)),rewrite([990045(2),990045(4),547(5),561(5),990045(7),985426(8),784411(7),990045(13),11(14),408(13)]),flip(a)]. 1267555 x \ (y \ ((y * x) * R(z,u,w))) = L(1 / R(z,u,w),x,y) \ 1. [para(1267140(a,1),159410(a,1,2,2)),rewrite([413447(8),1082315(7),1129333(4),1129927(5),1130251(5)]),flip(a)]. 1267573 a(x * R(a(y,z,u) \ u,w,v5),v6,v7) = a(x * L(R(u,w,v5),z,y),v6,v7). [para(1267140(a,2),758229(a,1,1,2,1)),rewrite([985426(12),400178(11),788781(9),1267555(5),46639(8),70655(6),158137(6),1072390(8)]),flip(a)]. 1267668 a(R(x \ a(y,z,x),u,w) * v5,v6,v7) = a(v5 * L(R(x,u,w),z,y),v6,v7). [back_rewrite(970033),rewrite([1267573(10)])]. 1267682 a(R(a(x,y,z) \ z,u,w) * v5,v6,v7) = a(v5 * L(R(z,u,w),y,x),v6,v7). [back_rewrite(970032),rewrite([1267668(10)])]. 1273420 x * (R(x,y,z) \ a(u,w,L(x,y,z))) = R(a(u,w,x) \ x,y,z) \ x. [hyper(6638,a,297511,a,b,1155359,a(flip)),rewrite([209874(4),699295(4),996507(4),466373(4),6492(7),298052(6),635123(5),990045(7),1072390(9)])]. 1273676 (x \ K(x \ y,x)) \ y = (x * x) * (y / x). [hyper(6638,a,95550,a,b,68069,a(flip)),rewrite([44462(7),36595(6),50954(7),262473(6)])]. 1274782 x * ((y * y) * (x \ R(x,z,u))) = R(x * (y * y),z,u). [hyper(6638,a,62761,a(flip),b,5,a(flip)),rewrite([61(5),6609(4),11965(10),323(9),267654(9),62944(8)]),flip(a)]. 1277416 a(x,y * (z * a(z,u,w)),a(v5,v6,v7)) = a(x,y * R(z,u,w),a(v5,v6,v7)). [para(1274782(a,1),785983(a,2,2,2)),rewrite([1206324(8),13777(7),785983(5),291406(11)])]. 1278290 (x * y) \ ((y * y) * x) = x \ ((y * y) * (x / y)). [para(1273676(a,2),565641(a,2,2)),rewrite([226081(3),277754(3),26402(6),1064787(6),703078(6),318455(6),777692(5),455430(5),41141(3),565641(4),53(6),1273676(8)])]. 1278739 T(x,y * y) \ (x / (y \ 1)) = x \ ((y * y) * (x / y)). [hyper(5081,a,236275,a,b,1278290,a),rewrite([179795(7),61746(6),236275(9),20865(8),112514(8),6(9),70953(14),25463(12),299374(12),50481(11),26221(10),1278290(10)])]. 1278778 (x / y) \ ((z * z) * ((x / y) / z)) = (y \ x) \ ((z * z) * ((y \ x) / z)). [hyper(5081,a,1278290,a,b,658129,a),rewrite([6(4),70953(10),25463(8),334585(6),299374(8),50481(6),26221(6),1278290(6),179795(13),61746(12),1278739(14),320(15)]),flip(a)]. 1278834 (x \ y) \ (((x \ 1) \ y) / x) = y \ ((x * x) * (y / x)). [para(53(a,1),1278290(a,1,1)),rewrite([1278778(10),231534(9)]),flip(a)]. 1278848 (x * y) * L(x \ ((y * y) * (x / y)),z,u) = (y * L(y,z,u)) * x. [para(1278290(a,1),207(a,2,2,1)),rewrite([231281(4),233940(4),205590(5),86904(3),14160(5)]),flip(a)]. 1279437 L(1 / x,x,a(y,z,u)) \ ((a(y,z,u) / x) * w) = a(y,z,u) * L(w,a(y,z,u),x). [para(1278290(a,2),398858(a,2,1)),rewrite([320(4),420371(7),612199(8),83661(8),73507(8),1230156(6),172433(10),493554(8),397641(10),444074(10),658539(12)]),flip(a)]. 1283808 x / R((y * y) \ z,u,w) = (x / R(z,u,w)) * (y * y). [para(280564(a,1),303918(a,1,2))]. 1290763 L(x,x,x * y) = y \ (y / (1 / x)). [hyper(18716,a,1047067,a),rewrite([495354(4)]),flip(a)]. 1293963 x * a(y,z,L(u,u,w)) = x * a(y,z,w \ (u \ w)). [para(1290763(a,1),1085793(a,1,2,3)),rewrite([239473(5),1214431(5),1115931(5),623455(7)]),flip(a)]. 1295256 a(x,y * a(z,u,w \ (v5 \ w)),v6) = a(x,y * a(z,u,v5),v6). [para(1293963(a,1),13932(a,1,2)),rewrite([385017(5),13927(6),1085454(9)])]. 1295257 a(x,a(y,z,u \ (w \ u)) * v5,v6) = a(x,v5 * a(y,z,w),v6). [para(1293963(a,2),14794(a,1,2)),rewrite([1085454(4)]),flip(a)]. 1295289 L(x,y * a(z,u,w \ (v5 \ w)),v6) = L(x,y * a(z,u,v5),v6). [para(1293963(a,1),25426(a,1,2)),rewrite([25426(7),1085849(9)])]. 1295735 L(x,a(y,z,u \ (w \ u)) * v5,v6) = L(x,v5 * a(y,z,w),v6). [para(1293963(a,2),28126(a,2,2)),rewrite([983843(8),990510(8),492655(7),394477(5),1085849(9)])]. 1295850 a((x * (y \ x)) * L(L(x * (y \ x),z,u),w,v5),v6,v7) = a(y * L(L(y,z,u),w,v5),v6,v7). [para(1293963(a,2),1027181(a,1,1)),rewrite([1018527(7),1108491(6),1108639(6),1027181(4),1108619(12)]),flip(a)]. 1295946 a(x,y * (z * L(z,u,w)),v5) = a(x,y * a(w,u,z),v5). [back_rewrite(1178041),rewrite([1295256(5)]),flip(a)]. 1295947 a(x,(y * L(y,z,u)) * w,v5) = a(x,w * a(u,z,y),v5). [back_rewrite(1015390),rewrite([1295256(9)])]. 1295948 a(x,y * (L(y,z,u) * w),a(v5,v6,v7)) = a(x,w * a(u,z,y),a(v5,v6,v7)). [back_rewrite(1015158),rewrite([1295257(6)]),flip(a)]. 1295949 L(x,y * (z * L(z,u,w)),v5) = L(x,y * a(w,u,z),v5). [back_rewrite(1015405),rewrite([1295289(5)]),flip(a)]. 1295967 L(x,(y * L(y,z,u)) * w,v5) = L(x,w * a(u,z,y),v5). [back_rewrite(1015388),rewrite([1295735(5)]),flip(a)]. 1295992 a(x,y * (L(z,u,w) \ z),v5) = a(x,y * a(w,u,z),v5). [back_rewrite(1178050),rewrite([1295946(8)])]. 1296137 a(x,(y \ L(y,z,u)) * w,v5) = a(x,w * a(u,z,y),v5). [back_rewrite(169742),rewrite([1295947(8)])]. 1296169 L(x,y * (L(y,z,u) \ w),v5) = L(x,w * a(u,z,y),v5). [back_rewrite(1164662),rewrite([1295949(8)])]. 1296257 L(x,y * (z * a(u,w,z)),v5) = L(x,L(z,w,u) * y,v5). [back_rewrite(1154424),rewrite([1295967(5),21238(4)])]. 1296351 L(x,(L(y,z,u) \ y) * w,v5) = L(x,w * a(u,z,y),v5). [back_rewrite(313501),rewrite([1295967(8)])]. 1296538 L(x,L(y,z,u) \ (w * y),v5) = L(x,w * a(u,z,y),v5). [back_rewrite(504411),rewrite([1296169(8)])]. 1296652 L(x,y * (z \ a(u,w,z)),v5) = L(x,L(z,w,u) * y,v5). [back_rewrite(635388),rewrite([1296257(8)])]. 1296922 a(x * L(L(x,y,z),u,w),v5,L(v6,v7,v8)) = a(x * L(L(x,y,z),u,w),v5,v6). [hyper(5081,a,1146536,a,b,1295850,a),rewrite([1087056(9),1086619(14),1192358(9),49(6),1087056(5),1295850(13)])]. 1297129 L(L(x,y,z * L(L(z,u,w),v5,v6)) \ x,v7,v8) = L(x,y,z * L(L(z,u,w),v5,v6)) \ x. [hyper(5081,a,1009056,a(flip),b,1296922,a),rewrite([1129333(11)]),flip(a)]. 1297130 L(x,y,z * L(L(z,u,w),v5,v6)) \ x = a(z * L(L(z,u,w),v5,v6),y,x). [hyper(295,a,1089919,a,b,1296922,a),rewrite([1079749(7),1297129(6),1079496(11),1079501(11),1174239(10),1174239(10),1297129(10)])]. 1305165 (x \ L(L(x,y,z),y,z)) * u = L(L(x,y,z),y,z) * (x \ u). [para(459818(a,1),50256(a,2,1)),rewrite([1138089(5),1140911(4),1139155(5),1143635(3),413070(4),1144166(4),377886(4),377886(3),323(1),48(2),354832(4),408211(9),323(7),408(8),1138089(9),1140911(8),1139155(9),1143635(7),413070(8),1144166(8)]),flip(a)]. 1306151 (a(x,y,z) \ u) * (a(x,y,z) \ u) = u * (L(L(z,y,x),y,x) * (z \ u)). [back_rewrite(1144712),rewrite([1305165(9)])]. 1306226 a(x,y,z) \ (a(x,y,z) \ u) = L(L(z,y,x),y,x) * (z \ u). [back_rewrite(1144166),rewrite([1305165(8)])]. 1306232 (x * (y * (L(L(y,z,u),z,u) \ w))) \ v5 = L(L(y,z,u),z,u) * (y \ ((x * w) \ v5)). [back_rewrite(1142306),rewrite([1305165(12)])]. 1307403 x \ (L(x,y,z) \ ((x * x) * u)) = L(x,y,z) \ ((1 / x) \ u). [hyper(5083,a,30965,a(flip),b,159410,a),flip(a)]. 1307694 R(x,y,((1 / z) \ u) \ w) = R(x,y,(z \ u) \ w). [para(30965(a,1),216887(a,2,3,1)),rewrite([231281(3),11965(4),226322(5),216887(3)]),flip(a)]. 1307697 R(x,y,z * ((1 / u) \ w)) = R(x,y,z * (u \ w)). [para(30965(a,1),216904(a,2,3,2)),rewrite([231281(3),848238(5),68073(3),934025(5)]),flip(a)]. 1307732 (L(x,y,z) \ 1) * (x \ u) = (x \ 1) * (L(x,y,z) \ u). [para(30965(a,1),1097647(a,1,2)),rewrite([337(7),62160(11),68101(10),277144(11),354134(10),61780(11),69321(10)])]. 1307744 a(x,y,L(z \ ((1 / u) \ w),v5,v6)) = a(x,y,L(z \ (u \ w),v5,v6)). [para(30965(a,1),1167077(a,2,3,1,2)),rewrite([231281(3),1168802(6),1167077(4)]),flip(a)]. 1307898 (x \ 1) * ((y / x) \ z) = x * ((y / (1 / x)) \ z). [back_rewrite(807920),rewrite([1307694(9),807921(8)])]. 1307903 R(x,y,R(z,u,w) * (z \ v5)) = R(x,y,z * (R(z,u,w) \ v5)). [back_rewrite(1167961),rewrite([1307697(6)]),flip(a)]. 1308028 R(x \ 1,x,R(x,y,z) \ u) = R(x \ 1,x,R(x,y,z) * u). [back_rewrite(269889),rewrite([1307903(6),269225(6)])]. 1308065 (x \ (R(x,y,z) \ u)) / (R(x,y,z) \ u) = R(x \ 1,x,R(x,y,z) * u). [back_rewrite(858124),rewrite([1308028(11)])]. 1309723 a(a(x,y,z) * L(u,w,v5),v6,v7) = a(u * a(x,y,z),v6,L(v7,w,v5)). [para(1081895(a,1),1087427(a,2,1)),rewrite([1176441(7),143267(5),26470(6),1018527(9)])]. 1313669 (x \ y) * a(x,z,a(u,w,v5)) = L(x,z,a(u,w,v5)) \ y. [para(159652(a,2),1002645(a,1,2)),rewrite([1087056(2),1191931(5),400178(6),1006451(4),1081676(9),1198827(10)])]. 1313712 a(x * ((y \ z) * a(y,u,w)),v5,a(v6,v7,v8)) = a(z * (x * R(y,u,w)),v5,a(v6,v7,v8)). [para(1002645(a,1),396158(a,1,1,2)),rewrite([395380(12),1002238(9),431108(12),1174926(12)])]. 1313750 ((a(x,y,L(z,u,w)) \ v5) \ (v5 * v6)) * a(x,y,a(w,u,z)) = L(v6 * a(x,y,z),a(x,y,z),v5). [para(1002645(a,1),398858(a,2,1)),rewrite([1190012(2),5534(3),1190012(5),12121(7),1190012(8),400742(9),1190020(8),1082368(9),1190012(9),16927(12)]),flip(a)]. 1313845 L(x \ a(y,z,a(x,u,w)),u,a(v5,v6,w)) = L(x \ a(x,u,a(v5,v6,w)),u,a(y,z,w)). [para(1129422(a,2),1002645(a,1,2)),rewrite([1087056(2),1087056(5),1086088(5),1191740(5),1006451(6),1313669(6),1164939(5),1087056(7),1082077(9),1223594(13)])]. 1315821 (x \ 1) * (y * (L(y,z,u) \ K(w,v5))) = (L(y,z,u) \ y) * (x \ K(w,v5)). [para(172127(a,1),173698(a,1,2,2)),rewrite([904793(14),323(9),31850(12),201172(12),201163(12),442610(10),706(9)]),flip(a)]. 1315846 ((x \ L(x,y,z)) * u) \ K(w,v5) = (L(x,y,z) \ x) * (u \ K(w,v5)). [para(172127(a,1),345769(a,1,1,2)),rewrite([976314(5),7724(11),9533(11),1191425(7),562(4),547(4),172127(7),41109(8),1196868(6),1313669(6),1244212(5),7726(7),162956(6),1315821(7),976314(10),11961(12),49(11)]),flip(a)]. 1316010 ((x \ L(x,y,z)) * u) \ 1 = (L(x,y,z) \ x) * (u \ 1). [back_rewrite(1241482),rewrite([1315846(7),900287(8)]),flip(a)]. 1316097 (x * (y \ L(y,z,u))) \ 1 = (L(y,z,u) \ y) * (x \ 1). [back_rewrite(309423),rewrite([1316010(5)]),flip(a)]. 1322073 L((x \ 1) * y,x,a(x,z,u)) = x \ L(y,x,L(x,z,u)). [hyper(295,a,62148,a(flip),b,854879,a),rewrite([1249908(5),28098(5)]),flip(a)]. 1323367 x * L(x \ R(x,y,z),u,w) = R(x,y,L(z,u,w)). [hyper(5457,a,1167144,a)]. 1323419 x \ R(T(x,y),z,L(u,w,v5)) = L(x \ R(T(x,y),z,u),w,v5). [hyper(5142,a,1167144,a(flip),b,60348,a),rewrite([5679(6),9510(5),26653(5),273818(4),273814(4),61(7)]),flip(a)]. 1323471 L(x,L(y \ R(T(y,z),u,w),v5,v6) \ v7,v8) = L(x,v7 * L(y \ R(y,u,w),v5,v6),v8). [para(1167144(a,1),34030(a,1,2,1)),rewrite([169853(4),1197573(4),1207185(5),1323419(9)]),flip(a)]. 1323473 K(x,y) * (z * L(R(y,u,w) \ y,v5,v6)) = L(y \ R(T(y,x),u,w),v5,v6) \ z. [para(1167144(a,1),33918(a,1,1)),rewrite([169853(4),1197573(6),7724(6),1323419(10)])]. 1323578 (R(x,y,L(z,u,w)) \ x) * L(x \ R(x,y,z),u,w) = 1. [para(1167144(a,1),345579(a,1,2)),rewrite([812085(5),1167144(4),48(5),323(7),1167144(7)]),flip(a)]. 1323579 R(x,y,L(z,u,w)) \ x = L(R(x,y,z) \ x,u,w). [para(1167144(a,1),347968(a,1,1,2,2)),rewrite([1323578(7),49(2),1167144(3),1206923(5),1167144(9),1246544(10),667823(8)]),flip(a)]. 1323782 L(R(x,y,z),y,a(u,w,z)) = R(x,y,L(z,w,u)). [back_rewrite(1194632),rewrite([1323367(7)])]. 1324364 R(T(x,y),z,L(u,w,v5)) \ x = L(R(T(x,y),z,u) \ x,w,v5). [hyper(7088,a,1323579,a(flip),b,95539,a),rewrite([893423(6),287958(4),287987(5),287905(9),5754(9),26458(9),11209(8)])]. 1324424 L(x \ R(T(x,y),z,u),w,v5) \ v6 = L(R(T(x,y),z,u) \ x,w,v5) * v6. [para(1323579(a,1),47565(a,1,2,2)),rewrite([61(3),1324364(4),6174(8),446432(7),323(5),408(6),5679(8),1323579(9),1323473(11)]),flip(a)]. 1324457 L(x,L(R(T(y,z),u,w) \ y,v5,v6) * v7,v8) = L(x,L(y \ R(y,u,w),v5,v6) * v7,v8). [para(1323579(a,1),97862(a,1,2,1)),rewrite([287905(4),1207327(5),1324364(9)]),flip(a)]. 1324495 L(R(x,y,z) \ x,u,z) = R(x,y,z) \ x. [para(101893(a,1),1323579(a,1,1,3)),rewrite([204284(4)]),flip(a)]. 1324525 L(x,y * L(z \ R(z,u,w),v5,v6),v7) = L(x,y * a(z,u,w),v7). [para(1323579(a,1),489121(a,1,2,1)),rewrite([1201354(4),1207044(5),1190297(4),1197631(11),1085849(9)])]. 1324716 L(x,L(y \ R(y,z,u),w,v5) * v6,v7) = L(x,v6 * a(y,z,u),v7). [back_rewrite(1323471),rewrite([1324424(5),1324457(6),1324525(10)])]. 1324813 (x \ 1) * (R(y,z,x) \ y) = x \ (R(y,z,x) \ y). [hyper(5083,a,1324495,a(flip),b,61613,a),flip(a)]. 1325435 ((x * (R(y,z,u) \ y)) / (u \ (R(y,z,u) \ y))) * (u \ 1) = L(x,u,a(u,z,y)). [para(1324813(a,1),754364(a,1,1,2)),rewrite([1190382(20),784482(19),48(17),70217(18),1150311(14),51(12)])]. 1325440 (x \ 1) * L(y,x,a(z,u,x)) = x \ L(y,x,L(x,u,z)). [para(1324813(a,1),763511(a,1,1,2)),rewrite([1325435(13),1322073(5),1190382(10),784482(9),48(7)]),flip(a)]. 1325714 (R(x \ 1,y,z) * u) * (R(x,y,z) \ x) = x \ L(u,x,L(x,y,z)). [back_rewrite(977885),rewrite([1325440(12)])]. 1325926 a(x * (((y \ L(y,z,u)) * w) * v5),v6,v7) = a(a(u,z,y) * ((v5 * w) * x),v6,v7). [para(1137589(a,2),102431(a,2,1,2,1)),rewrite([204535(10),58(8),204513(8),381213(7),1018336(10),100033(8),58(3),46695(6),1137589(11),97893(14),58(9),458608(9),13786(12)]),flip(a)]. 1332335 (x * y) \ T(x,y \ 1) = T((x / y) / x,y). [para(12004(a,2),96715(a,2,1,2)),rewrite([12024(4),323(2),403502(9),1069226(10)])]. 1338367 (x \ a(y,z,u)) \ (x * ((1 / x) * w)) = (a(y,z,u) / x) \ L(w,x,x). [para(399659(a,1),31103(a,2,1)),rewrite([1076483(4),436886(6),339647(7),150510(5),339647(5),1143242(14),1075287(12),356871(11),66975(10)]),flip(a)]. 1339978 ((K(x,y) / R(y,z,u)) * w) \ (R(T(y,x),z,u) \ w) = a(y,y,R(y,z,u) * w). [hyper(5081,a,1167379,a(flip),b,800825,a),rewrite([1088849(5),1089836(5),1082637(5),5679(5),61(9)]),flip(a)]. 1340088 a(x,x,(y * z) * x) = a(x,x,(x * z) * y). [para(11786(a,2),800825(a,2,3)),rewrite([5537(2),60(7),1158602(10),11786(9),136415(9),1079373(8),1089836(8),1082637(8)])]. 1340619 a(x,x,(y * z) * x) = a(x,x,z * (y * x)). [para(1004137(a,2),800825(a,2,3)),rewrite([5537(2),60(7),1158602(10),1004137(9),136445(9),1079373(8),1089836(8),1082637(8)])]. 1340811 a(x,x,(x * y) * z) = a(x,x,y * (z * x)). [back_rewrite(1340088),rewrite([1340619(3)]),flip(a)]. 1348307 (a(x,y,z) \ u) \ a(w,v5,v6) = a(x,y,z) * (u \ a(w,v5,v6)). [hyper(5081,a,1231703,a(flip),b,388651,a),rewrite([1104084(8),83407(13),682384(13),83407(13),1083356(14),547(13),394565(11),1083052(10)])]. 1348715 L(x,y,z * (u * (a(w,v5,v6) \ v7))) = L(x,y,z * (u * (v7 * a(w,v5,v6)))). [para(388651(a,2),85799(a,1,3,2)),rewrite([1134546(4),384693(8),1188431(7)]),flip(a)]. 1350284 x \ ((x * a(y,z,u)) * (K(w,v5) * v6)) = K(w,v5) * (x \ ((x * a(y,z,u)) * v6)). [hyper(295,a,231453,a,b,398883,a),rewrite([385118(3),961236(10),398883(6)]),flip(a)]. 1350310 (x * (y * a(z,u,w))) / T(y,x) = y \ (x * (y * a(z,u,w))). [hyper(5083,a,398883,a(flip),b,242321,a),rewrite([384540(3),5754(6),9113(6),657514(5)]),flip(a)]. 1350315 K(x,y) * (x \ (y * (x * a(z,u,w)))) = x \ ((x * a(z,u,w)) * y). [hyper(5081,a,242321,a,b,398883,a(flip)),rewrite([384540(3),1350310(6)])]. 1350331 (x * (y * a(z,u,w))) / y = y \ ((y * a(z,u,w)) * x). [para(235(a,1),398883(a,1,2)),rewrite([7725(4),11135(5),384820(5),7725(10),11135(11),384820(11),12023(10),1350315(10)])]. 1351374 a(x \ ((a(y,z,u) * w) * v5),v6,v7) = a(a(y,z,u) * (x \ (v5 * w)),v6,v7). [para(1350331(a,2),69589(a,1,1,2,1)),rewrite([72446(6),72446(5),66558(4),51(5),1176441(5),5(9),5(10),69477(12)]),flip(a)]. 1353510 (x * (y * L(z,x,y))) \ (x * (y * z)) = y \ R(y,x,z). [hyper(5081,a,1167079,a(flip),b,19501,a),rewrite([380(5),24549(8),314228(8)]),flip(a)]. 1354485 (x \ R(x,y,z)) * L(u,x,a(x,y,z)) = R(x,y,z) * (x \ u). [para(1353510(a,2),594859(a,1,1,1)),rewrite([1353510(6),1168730(6),1198272(5),7735(6),1192162(5),62852(8)])]. 1355525 (x * (L(x,y,L(z,u,w)) \ v5)) * L(x,u,w) = L(x,u,w) * (L(x,y,L(z,u,w)) \ (v5 * x)). [para(27491(a,2),504398(a,1,1)),rewrite([163588(5),118328(5),1140049(5),1140308(12)])]. 1355700 L(L(L(x,y,z) \ x,x,u),w,v5) * u = x * (L(x,y,L(z,w,v5)) \ u). [para(1136653(a,1),27491(a,1,1,1)),rewrite([1081305(7),626170(7),1109994(6),51(2),1136503(5)]),flip(a)]. 1356347 x * ((L(x,y,L(z,u,w)) \ v5) * L(x \ L(x,y,z),x,v5)) = v5 * a(z,y,a(w,u,x)). [para(1355700(a,1),135559(a,1,2)),rewrite([1081305(5),49(5),626170(8),1079275(16),49(16),1151140(16),1190779(16)])]. 1364839 L(x \ R(x,y,z * a(y,u,w)),x,z * R(y,u,w)) = a(x,y,z * a(y,u,w)). [para(1006554(a,2),256868(a,1,3)),rewrite([206751(5),1006554(9),83104(10),1206379(8),50864(12)])]. 1364869 a(a(x,y,z) * (u * (x \ w)),v5,a(v6,v7,v8)) = a(w * (u * R(x,y,z)),v5,a(v6,v7,v8)). [para(1006554(a,1),395380(a,1,1,1)),rewrite([395380(8),68916(8),395380(6),451620(6),396243(14),1173846(12),1002645(9),1313712(12)])]. 1365464 L(x,y,z) \ ((x * x) * u) = L(1 / x,y,z) \ u. [para(352197(a,2),23536(a,1,1)),rewrite([65068(3),5754(7),64714(3),26458(7),2045(6),147(6,R),51(3)]),flip(a)]. 1365874 L(x,y,z) \ ((1 / x) \ u) = x \ (L(1 / x,y,z) \ u). [back_rewrite(1307403),rewrite([1365464(4)]),flip(a)]. 1385932 L(1 / x,y,z) * (x \ (L(x \ 1,u,w) \ v5)) = L(x,y,z) * (x \ (L(x,u,w) \ v5)). [para(277235(a,1),158007(a,2,2)),rewrite([340(4),340(5)]),flip(a)]. 1386054 (L(x,y,z) \ u) * L(x \ L(x,w,v5),x,u) = L(x,w,v5) * (x \ (L(x,y,z) \ u)). [para(277235(a,1),406028(a,2,2)),rewrite([304580(8),324(5),48(5),28057(9),28083(9),1134458(7),1385932(15)])]. 1386398 L(x,y,z) * (L(x,y,L(z,u,w)) \ v5) = v5 * a(z,y,a(w,u,x)). [back_rewrite(1356347),rewrite([1386054(7),158113(7)])]. 1386966 (1 / x) \ (R(x,y,z) * u) = R(x,y,z) * ((x \ 1) \ u). [para(62761(a,1),61634(a,1,2)),rewrite([1167976(11),1167980(12),68073(9)])]. 1388647 ((R(x,y,z) \ x) / u) \ 1 = (x / u) \ R(x,y,z). [hyper(295,a,740843,a,b,590818,a),rewrite([1014598(5),1196418(5),1211237(4),1323782(3),1167144(3),1201082(4)])]. 1388668 (x / (1 / y)) \ R(x,z,u) = (x \ R(x,z,u)) / y. [para(160(a,1),590818(a,1,1)),rewrite([64714(3),149(4),783919(6)]),flip(a)]. 1388786 (x \ R(x,y,z)) / (1 / u) = (u \ 1) \ (x \ R(x,y,z)). [para(590818(a,1),31412(a,1,2)),rewrite([287528(9),340(7),1205284(6)]),flip(a)]. 1389161 a(x,y,L((z \ u) \ R(u,w,v5),v6,v7)) = a(x,y,L(z \ (u \ R(u,w,v5)),v6,v7)). [para(590818(a,1),251008(a,2,3,1)),rewrite([1388786(5),1125954(7),1167114(10)]),flip(a)]. 1389302 1 / (x \ (R(y,z,u) \ y)) = (y / x) \ R(y,z,u). [back_rewrite(1201016),rewrite([1388647(10)])]. 1394343 a(x,y,L(z,u,w)) \ L(a(x,y,z) \ v5,v6,v7) = a(x,y,z) \ L(a(x,y,L(z,u,w)) \ v5,v6,v7). [hyper(7088,a,397483,a,b,159344,a),rewrite([1087056(2),6706(6),1087056(8),561(9),1087056(8),1087056(11),1087056(16),1087056(18),6174(21),385657(20),547(17),400742(17),1191706(16),17022(15),1192002(14),1082637(11)]),flip(a)]. 1397973 L(x,y,a(y,z,u)) * (L(y,z,u) \ y) = y * (L(y,z,u) \ x). [para(457478(a,1),688671(a,1,1)),rewrite([975147(4),989864(5),1150479(6),51(2),977398(6),49(6),977398(9),49(9),975147(10),984035(11),1112856(10),1065131(9)])]. 1398898 x * (L(y,z,x) \ y) = y * (L(y,z,x) \ x). [para(626561(a,1),1397973(a,1,1))]. 1398933 a(x,y * (z * (L(z,u,w) \ v5)),a(v6,v7,v8)) = a(x,y * (v5 * a(w,u,z)),a(v6,v7,v8)). [para(1397973(a,1),785983(a,2,2,2)),rewrite([1295992(8),785983(7),1161521(4),1219491(7)]),flip(a)]. 1399687 (L(x,y,z) \ x) * z = x * (L(x,y,z) \ z). [hyper(295,a,1146536,a,b,1398898,a),rewrite([355048(12),1133953(5),1142553(9),1316097(7),340(6)])]. 1400749 R(x,y,z) \ (u * (L(u,w,x) \ x)) = x * (R(x,y,z) \ (L(u,w,x) \ u)). [para(1398898(a,1),776371(a,1,2))]. 1401131 L(x * L(x,y,z),u,w) \ L(x * L(x,y,z),v5,v6) = a(z,y,a(w,u,x)) * a(z,y,a(v6,v5,x)). [hyper(5081,a,1278848,a,b,1400749,a),rewrite([629611(3),981917(6),1196412(6),629611(10),981917(13),1196412(13),629611(17),981917(20),1196412(20),1278848(25),1191657(9),629611(8),981917(11),1196414(14),7735(13),17022(12),1190919(12),1128440(11)]),flip(a)]. 1401357 a(a(x,y,z) * a(x,u,w),v5,v6) = a(x * R(R(x,u,w),y,z),v5,v6). [para(1400749(a,2),394190(a,1,1)),rewrite([63(3),339647(6),1158406(10),1245955(7),1136070(5),1096689(5),63(7),339647(10),1030688(12),1094591(11),394190(10),1176035(8)])]. 1402032 L(x,y,a(z,u,w) * (v5 * (v6 * ((v5 * v6) * a(z,u,w))))) = L(x,y,a(v6,v6,v5 * a(z,u,w))). [para(399228(a,1),27370(a,1,3)),rewrite([398396(6),1029344(7),1348715(14),1217048(13),1348715(14),788756(14),83339(12)]),flip(a)]. 1402675 L(x,R(y,z,u) \ (w * y),v5) = L(x,y * (R(y,z,u) \ w),v5). [para(776723(a,1),28033(a,1,2,1)),rewrite([777692(4),777703(4)])]. 1407787 T((x * a(y,z,u)) \ a(w,v5,v6),K(x,v7)) = (x * a(y,z,u)) \ a(w,v5,v6). [para(394565(a,2),53468(a,1,2,2)),rewrite([394565(8),382549(9),381153(7),562(6)])]. 1408564 a(L(x * (y \ 1),z,u) \ w,v5,v6) = a(L(x * y,z,u) \ w,v5,v6). [para(55076(a,1),1083371(a,1,1,1)),rewrite([1122598(6)])]. 1418754 L(x \ K(y,z),u,w) * (K(z,y) / v5) = L(x \ 1,u,w) * (1 / v5). [para(75719(a,1),158018(a,1,2)),flip(a)]. 1426026 a(x,y,z) * (a(u,w,v5) * (a(x,y,L(z,v6,v7)) \ v8)) = a(u,w,v5) * (v8 * a(v7,v6,a(x,y,z))). [hyper(5081,a,400198,a,b,408513,a),rewrite([1087056(4),6706(5),1087056(9),385657(14),547(12),1084710(14)])]. 1430634 L(x,L(y \ L(y,z,u),w,v5) * v6,v7) = L(x,v6 * a(u,z,y),v7). [para(1193062(a,1),25672(a,2,2)),rewrite([1194421(7),1209197(9),1296351(4),1081117(8)]),flip(a)]. 1430837 L(x,(y \ (L(z,u,w) * (z \ y))) * v5,v6) = L(x,v5 * a(w,u,z),v6). [back_rewrite(1110125),rewrite([1430634(5)]),flip(a)]. 1430904 L(x,(y \ z) * a(u,w,y),v5) = L(x,L(y,w,u) \ z,v5). [back_rewrite(1133323),rewrite([1430837(7)])]. 1431316 a(x,y * (z \ a(y,u,w)),a(v5,v6,v7)) = a(x,z * R(y,u,w),a(v5,v6,v7)). [para(1399687(a,1),785983(a,2,2,2)),rewrite([975095(3),1014422(4),785983(6),158808(4),1295948(6),785948(5),1398933(11),1277416(10)])]. 1432608 T(R(x,y,z) * (x \ u),w) / u = u \ T(R(x,y,z) * (x \ u),w). [hyper(5142,a,287646,a(flip),b,42661,a),rewrite([287039(5),590750(6),9510(6),590800(6),287039(9)]),flip(a)]. 1435721 (x * R(1 / x,y,z)) \ u = (x * (1 / R(x,y,z))) * u. [para(298743(a,2),617181(a,2,1)),rewrite([1283808(5),11968(8),1246358(7),7(7),280522(6),288255(8),22473(6),7(8),280522(7),290112(8),287423(6),1283808(10),1283808(16),6(17),83097(18),893715(15),298396(15),1000516(14),26007(13),77774(11),298396(9),784482(9),1164195(9),400178(8),280655(10),49(9),191383(11),298743(9)])]. 1436606 R(x,y,z * (u \ R(u,w,v5))) = R(x,y,z * (u * R(u,w,v5))). [para(440364(a,1),216904(a,2,3,2)),rewrite([403169(4),1307697(6)])]. 1436653 a(x,y,L(z \ (u \ R(u,w,v5)),v6,v7)) = a(x,y,L(z \ (u * R(u,w,v5)),v6,v7)). [para(440364(a,1),1167077(a,2,3,1,2)),rewrite([403169(4),1307744(7)])]. 1436767 a(x,y,L((z \ u) \ R(u,w,v5),v6,v7)) = a(x,y,L(z \ (u * R(u,w,v5)),v6,v7)). [back_rewrite(1389161),rewrite([1436653(10)])]. 1436872 T((x / y) * (z \ R(z,u,w)),y) = (y \ x) * (z \ R(z,u,w)). [hyper(6638,a,1263298,a(flip),b,825455,a),rewrite([812085(4),446432(7),323(5),408(6),812085(8)]),flip(a)]. 1437297 ((R(x,y,z) \ x) * u) \ w = (u * (R(x,y,z) \ x)) \ w. [para(825455(a,2),52447(a,2,1)),rewrite([287703(3),519622(6),323(4),15(5),48(5),519622(9),323(7),15(8),408(8)]),flip(a)]. 1438020 T(x / (y * (R(z,u,w) \ z)),y) = ((R(z,u,w) \ z) * y) \ x. [hyper(5081,a,412,a,b,1437297,a),rewrite([447882(8),323(5),49(6)])]. 1438080 ((x \ (R(y,z,u) \ y)) * (R(y,z,u) \ y)) \ (R(y,z,u) \ y) = ((x \ 1) * (R(y,z,u) \ y)) \ 1. [hyper(295,a,834879,a,b,1437297,a),rewrite([812085(3),1190198(5)]),flip(a)]. 1443389 (T(x,y) * z) \ (L(x,u,w) * y) = (x * z) \ (y * L(x,u,w)). [para(158354(a,1),60134(a,1,2)),rewrite([380545(4),53(2),401180(10),53(8)])]. 1444374 (x * y) \ (y * L(x,z,u)) = y \ (x \ (y * L(x,z,u))). [back_rewrite(580921),rewrite([1443389(5)])]. 1448415 (T(x,y) \ 1) * L(x * R(T(x,y),z,u),w,v5) = R(x,z,L(u,w,v5)). [hyper(5081,a,1199789,a,b,962328,a),rewrite([287905(4),1199789(4),1323367(4),341387(10)]),flip(a)]. 1449019 R(x,y,L(z,x,y)) = x * a(x,y,z). [para(1167015(a,1),962328(a,2,2)),rewrite([341387(8),26536(8),1448415(8),12463(4)])]. 1449755 a(x,y,z * a(z,u,w)) = a(x,y,L(z,u,w)). [para(1449019(a,1),990045(a,1,3)),rewrite([1131235(5),398396(6),1065639(6)])]. 1449805 a(x,y,a(z,u,w) * z) = a(x,y,L(z,u,w)). [para(1449019(a,2),55076(a,1,3)),rewrite([1449019(2),1449755(3)]),flip(a)]. 1457668 ((a(x,y,z) * u) \ a(w,v5,v6)) * K(u \ 1,v7) = T((u * a(x,y,z)) \ a(w,v5,v6),v7). [hyper(5083,a,407906,a,b,7460,a),rewrite([1104855(7),384632(8),41109(8)])]. 1471799 (x * (L(x,y,z) \ u)) * L(x,w,v5) = u * (x * (L(x,y,z) \ L(x,w,v5))). [para(310694(a,1),1002521(a,2,2)),rewrite([987449(4),396754(3),628106(2),1196868(5),1213200(5),1199364(4),1065131(4)])]. 1472102 a(x * (y * (z \ a(u,w,v5))),v6,v7) = a(x * (y * (a(u,w,v5) * z)),v6,v7). [para(1002521(a,1),1030545(a,1,1)),rewrite([454312(8),971949(14),394568(12),1161065(14),12619(11)])]. 1472347 L(x,y,z) * (L(x,u,L(w,y,z)) \ (v5 * x)) = v5 * (L(1 / L(x,y,z),u,w) \ 1). [back_rewrite(1355525),rewrite([1471799(6),1130310(5)]),flip(a)]. 1472682 a(R(a(x,y,z) \ u,w,v5) * v6,v7,v8) = a(R(u * a(x,y,z),w,v5) * v6,v7,v8). [para(397269(a,1),337521(a,1,1,2,1)),rewrite([1104084(5),208463(9),782337(7),430557(11),12546(12)]),flip(a)]. 1472760 a(L(x * (a(y,z,u) \ K(w,v5)),v6,v7) \ v8,v9,v10) = a(L(a(y,z,u) * x,v6,v7) \ v8,v9,v10). [para(397269(a,1),70583(a,1,1,1,1)),rewrite([1104084(5),27503(8),18893(9),1408564(7)]),flip(a)]. 1472811 a(R(x * a(y,z,x),u,w) * v5,v6,v7) = a(v5 * L(R(x,u,w),z,y),v6,v7). [back_rewrite(1267682),rewrite([1472682(5)])]. 1472981 L(x,y,a(z,u,w) * (v5 * (v6 * (a(z,u,w) \ v7)))) = L(x,y,v5 * (v6 * v7)). [para(398058(a,1),218612(a,2,3)),rewrite([13063(8),385017(6),19228(5),83724(8),431386(7)]),flip(a)]. 1473003 L(x,y,a(z,u,w) * (v5 * (v6 * (v7 * a(z,u,w))))) = L(x,y,v5 * (v6 * v7)). [para(398058(a,2),454456(a,2,3)),rewrite([1348715(7),1217048(6),1348715(7),83339(7),398058(13),1472981(14)])]. 1473071 L(x,y,a(z,z,u * a(w,v5,v6))) = L(x,y,a(z,z,u)). [back_rewrite(1402032),rewrite([1473003(8),660987(4),981917(3)]),flip(a)]. 1484319 L(x \ R(x,y,z * (y * R(y,u,w))),x,z * R(y,u,w)) = a(x,y,z * (y \ R(y,u,w))). [para(789744(a,1),265975(a,1,3)),rewrite([1436606(6),206751(6),1000414(12),1206131(9),50864(14)])]. 1527939 a(x,x,x * (y * R(x,z,u))) = a(x,x,y). [para(62761(a,1),592635(a,1,1)),rewrite([1386966(8),354827(7),1167939(8),592635(7),1167379(3),1088849(3),1089836(3),1082637(3),1214081(5),1214243(5)]),flip(a)]. 1528507 R(x \ 1,x,R(x,y,z) * u) \ 1 = a(x,x,u) \ x. [back_rewrite(1180381),rewrite([1527939(11)])]. 1532967 (x * (R(y,z,u) \ y)) \ (R(y,z,u) \ y) = (x \ (y \ R(y,z,u))) * (R(y,z,u) \ y). [hyper(295,a,1437297,a(flip),b,1332335,a),rewrite([287703(8),812253(12),1436872(13),502665(12)])]. 1533685 ((x \ R(x,y,z)) * u) \ (x \ R(x,y,z)) = (u \ (x \ R(x,y,z))) * (R(x,y,z) \ x). [para(152866(a,1),1332335(a,1,2)),rewrite([812653(12),1190013(13)])]. 1533908 ((x \ (R(y,z,u) \ y)) \ (y \ R(y,z,u))) * (R(y,z,u) \ y) = ((x \ 1) * (R(y,z,u) \ y)) \ 1. [back_rewrite(1438080),rewrite([1532967(9)])]. 1533999 (x * (y \ R(y,z,u))) \ (y \ R(y,z,u)) = (x \ (y \ R(y,z,u))) * (R(y,z,u) \ y). [back_rewrite(900895),rewrite([1533685(6)]),flip(a)]. 1543442 R(1 / x,x,R(x,y,z) \ u) = x \ a(x,x,u). [para(893715(a,2),1181774(a,2,2)),rewrite([1308065(6),1528507(7),1104084(4),339031(4),893715(7),777860(8)]),flip(a)]. 1543443 a(x,x,y * (x * R(x,z,u))) = a(x,x,y). [para(893715(a,2),1187611(a,2,2,2)),rewrite([1308065(6),151517(6),724474(6),287508(3),1340811(4),11009(2),893715(9),777860(10),1543442(9),51(7)])]. 1581247 a(x,y,z) \ (u \ (w * a(x,y,z))) = a(x,y,z) * (u \ (a(x,y,z) \ w)). [hyper(295,a,1005239,a,b,101346,a),rewrite([1190012(2),1190012(4),1196868(8),1085475(8),1191930(9),101346(7),1086461(7)])]. 1588164 x * (x * ((y \ R(y,z,u)) / x)) = L((y / x) \ R(y,z,u),x,x). [para(1190042(a,2),61613(a,1,2)),rewrite([1190042(8),781606(7),1307898(6),1388668(5),781606(10)])]. 1588207 a(x,y,z * (u \ R(u,w,v5))) = a(x,y,z * (u * R(u,w,v5))). [para(1190042(a,1),75452(a,1,3,2)),rewrite([1588164(5),1167114(5),1436767(5),60426(4),136497(6),72848(6),60426(8),136497(10),72848(10)]),flip(a)]. 1588672 L(x \ R(x,y,z * (y * R(y,u,w))),x,z * R(y,u,w)) = a(x,y,z * (y * R(y,u,w))). [back_rewrite(1484319),rewrite([1588207(12)])]. 1612938 (x * a(y,z,u)) \ L(x,w,v5) = a(y,z,u) \ (x \ L(x,w,v5)). [hyper(7088,a,222572,a,b,398342,a),rewrite([58(6),561(4),561(6),397148(12),58(14),561(12),458244(12),457942(13),6706(10),400695(12),457529(11)])]. 1612943 (a(x,y,z) * u) \ L(u,w,v5) = a(x,y,z) \ (u \ L(u,w,v5)). [hyper(7088,a,80640,a(flip),b,398342,a),rewrite([50(6),561(6),50(12),1612938(10),51(11)])]. 1616592 L(x \ R(x,y,z),u,w) * L(v5,x,L(x,y,z)) = x * (R(x \ 1,y,L(z,u,w)) * v5). [para(28010(a,1),273516(a,1,2,3)),rewrite([206639(4),1167144(3),1065725(6),206639(12)])]. 1616707 a(L(x,y,z) * (L(R(x,u,w),y,z) * v5),v6,v7) = a(x * (R(x,u,L(w,y,z)) * v5),v6,v7). [para(273516(a,2),12518(a,2,1)),rewrite([852508(9),63(4),12518(7),63(9),272623(10),1130786(13),1616592(12),852508(13)])]. 1617045 a(R(x,y,z) * (R(R(x \ 1,y,z),u,w) * v5),v6,v7) = a(x * (R(x,u,w) * v5),v6,v7). [para(273516(a,2),273921(a,1,1)),rewrite([1189890(8),272488(6),324(3),48(3),209955(11),210057(11),273593(9),1124093(9),1082662(6),1174775(6),1006690(3),1079373(4),1175917(4),852508(14)]),flip(a)]. 1617270 a(R(R(x,y,y),z,u) * (L(x,y,y) * w),v5,v6) = a(x * (R(x,z,L(u,y,y)) * w),v5,v6). [back_rewrite(131184),rewrite([1616707(12)])]. 1617705 (R(x,y,z) * (x \ R(x,u,w))) * v5 = R(x,y,z) * (R(x,u,w) * (x \ v5)). [para(1205365(a,2),594482(a,2,1)),rewrite([1168730(8),1088849(7),1198272(7),1079373(6),974609(7),7735(7),1192162(6),1354485(6),1205365(9)]),flip(a)]. 1617761 L(x,R(y,z,u),L(L(y,z,u),w,v5)) = L(x,y,L(y,w,v5)). [para(1205365(a,1),170542(a,1,2,1)),rewrite([215709(5),1078616(5),820042(3),60426(3),169922(4),1617705(11),1090545(10),268783(7),812086(8),1190151(8),1325714(7),51(4),1205365(7),1000416(8),1206494(7)]),flip(a)]. 1618279 (x \ (y \ R(y,z,u))) * (R(y,z,u) \ y) = (y \ R(y,z,u)) * (x \ (R(y,z,u) \ y)). [hyper(5081,a,418992,a(flip),b,256821,a),rewrite([812086(7),48(7),812653(12),48(12)])]. 1618309 (x \ R(x,y,z)) * (u \ R(u,w,v5)) = R(x,y,z) * (x \ (u \ R(u,w,v5))). [hyper(295,a,1199226,a,b,256821,a),rewrite([1014598(7),5534(7),828993(5)]),flip(a)]. 1618951 (((x \ 1) \ 1) * (R(y,z,u) \ y)) \ 1 = 1 / (x * (R(y,z,u) \ y)). [para(256821(a,1),515685(a,1,1,1)),rewrite([1533999(9),900919(6),812086(13)])]. 1619050 ((x \ 1) * (R(y,z,u) \ y)) \ 1 = (y \ R(y,z,u)) * ((x \ 1) \ 1). [back_rewrite(1533908),rewrite([1618279(9),1201087(8)]),flip(a)]. 1619188 1 / (x * (R(y,z,u) \ y)) = (y \ R(y,z,u)) * (1 / x). [back_rewrite(1618951),rewrite([1619050(9),69340(8)]),flip(a)]. 1658523 a(x,y,z) \ (R(u,w,v5) * (u \ a(v6,v7,v8))) = (u \ R(u,w,v5)) * (a(x,y,z) \ a(v6,v7,v8)). [para(400273(a,1),1619188(a,1,2)),rewrite([1105034(8),1389302(7),6706(3),1218904(5),430269(13),397148(13)])]. 1754948 R(x,y,z) * (R(R(x,y,z) \ 1,u,w) * v5) = x * (R(x \ 1,u,L(w,y,z)) * v5). [para(49981(a,2),273516(a,1,1)),rewrite([1197673(6),26458(6),8936(5),209955(7),1617761(7),1616592(6)]),flip(a)]. 1767171 a(x * (R(x,y,L(z,u,w)) * v5),v6,v7) = a(x * (R(x,y,z) * v5),v6,v7). [para(885502(a,2),273921(a,1,1)),rewrite([1754948(12),151794(11),275593(7),885502(8),853039(7),853039(15),1617045(13)])]. 1767313 a(R(R(x,y,y),z,u) * (L(x,y,y) * w),v5,v6) = a(x * (R(x,z,u) * w),v5,v6). [back_rewrite(1617270),rewrite([1767171(11)])]. 1776429 a(x * L(y * z,z,y),u,w) = a(x * (z \ y),u,w). [para(997989(a,1),70606(a,2,1,2)),rewrite([337(5),46639(11),269916(9)])]. 1782183 a(x,y,L(L(z,u,w),v5,v6)) \ L(L(a(x,y,z) \ 1,u,w),v5,v6) = z \ L(L(z,y,x),y,x). [para(1076461(a,1),181559(a,1,2)),rewrite([1081454(7),48(5),1087056(4),1082681(4),1394343(7),1082077(5),1076542(6),1306226(5),149409(5),1081454(10),48(8)]),flip(a)]. 1807825 x * L(L(y \ L(y,z,u),w,v5),R(v6,v7,v8),v9) = x * L(L(y \ L(y,z,u),w,v5),v6,v9). [para(28056(a,1),1079191(a,1,1,1)),rewrite([1089944(4),1079191(5),28056(11)]),flip(a)]. 1807949 L(R(x,y,z),u,w) * (R(x,y,z) \ v5) = L(x,u,L(w,y,z)) * (x \ v5). [back_rewrite(457452),rewrite([1807825(6),1128545(5)]),flip(a)]. 1808611 L(x,y,L(L(L(z \ 1,u,w),v5,v6) \ v7,z,z)) = L(x,y,L(L(z,u,w),v5,v6) * v7). [para(163040(a,2),158259(a,1,3)),rewrite([83591(14),70578(12),1131171(10),994702(10),1206507(9),1140049(17),162882(16),158808(13),1140475(13),83104(15),698676(13),158259(13)])]. 1808616 L(L(x,y,z) * (L(x,u,w) \ v5),x,x) = L(x,y,z) * ((L(x,u,w) \ 1) * v5). [para(163040(a,2),150405(a,1,2)),rewrite([26414(12),28083(10),1095585(8),162882(16),150599(13),160992(14)]),flip(a)]. 1809442 a(x * L(L(x,y,z),u,w),v5,v6) \ v6 = L(v6,v5,x * L(L(x,y,z),u,w)). [para(1027181(a,1),1199935(a,2,1)),rewrite([1473071(5),5534(3),995902(4)]),flip(a)]. 1810011 a(x,y,L(z,u,w)) * (a(x,y,L(z,v5,v6)) \ v7) = a(x,y,z) * (a(x,y,L(L(z,v5,v6),u,w)) \ v7). [para(1808616(a,1),1230078(a,2,1)),rewrite([1087056(6),1087056(8),1426026(11),1082318(9),400780(8),1191832(7),16924(9),16922(6),400742(6),1190020(5),1082368(6),400742(7),1082159(6),1190020(5),1081802(7),1087056(8),1087056(10),1082077(12),1081676(13),400178(15)]),flip(a)]. 1813159 L(L(L(x \ 1,y,z),u,w) \ v5,x,x) = (L(L(1 / x,y,z),u,w) \ 1) * v5. [hyper(295,a,83591,a(flip),b,1097438,a),rewrite([70578(10),1131171(8),994702(8),622053(12)])]. 1813706 L(x,y,L(L(1 / z,u,w),v5,v6) * v7) = L(x,y,L(L(z,u,w),v5,v6) * v7). [back_rewrite(1808611),rewrite([1813159(6),83104(8)])]. 1813847 a(x,y,z) * (a(x,y,L(L(z,u,w),v5,v6)) \ z) = z * (L(z,y,L(L(x,v5,v6),u,w)) \ L(z,y,x)). [hyper(5142,a,1130496,a,b,1278848,a),rewrite([975273(6),1087056(3),1087056(2),974609(3),17060(6),1190777(5),17022(4),1190919(4),1128440(3),1130763(8),1401131(11),1130763(14),1401131(17),17628(16),449689(16),1196512(17),1193483(17),1193900(15),1190777(15),16924(16),16922(13),1196576(10),1196868(7),7735(10),7735(13),7735(12),1190018(12),7735(10),1076485(9),49(6),443539(6),1166824(6),1130763(10),1401131(13),7732(12),1191022(12)]),flip(a)]. 1818352 x * (L(L(x,y,z),y,z) \ (R(z,y,x) \ u)) = (z * (R(z,y,x) \ z)) \ u. [para(256863(a,2),279868(a,1,1,1)),rewrite([256863(2),1618309(5),281680(4),323(2),1146301(5),400179(6),1144162(6),812086(10),48(10)])]. 1818732 (x * L(L(x,y,z),y,z)) * (x \ u) = (L(L(x,y,z),y,z) \ 1) \ u. [para(898646(a,2),279868(a,1,1,1)),rewrite([898646(4),1306151(5),323(3),49(4),1104084(10),627502(10),1146600(9)])]. 1819191 T((x * (R(x,y,z) \ x)) \ u,x \ u) = a(x,x,u) * (R(x \ 1,y,z) * u). [back_rewrite(1173574),rewrite([1818352(6)])]. 1824844 (x / y) * K(z \ y,z) = x / (z * (y / z)). [hyper(5142,a,7776,a,b,809773,a(flip)),rewrite([77732(9),51(8),14887(7),51(6),382469(6),43201(8),396021(5),51(4),809773(4),77774(8),51(7),422012(7)])]. 1826382 L(x,y,((z * (u / z)) \ w) * v5) = L(x,y,(u \ w) * v5). [para(1824844(a,1),218612(a,2,3,1)),rewrite([2598(4),7725(6),83105(7),84993(3),84993(8)]),flip(a)]. 1830242 L(a(x,y,z) * u,a(x,y,z),a(x,y,z) * w) = a(x,y,z) * L(u,a(x,y,z),w). [para(1278834(a,2),652652(a,2,1)),rewrite([320(5),420371(7),612199(8),83661(8),73507(8),1135426(13),1338367(14),1087056(10),1191876(11),1192167(9),1365464(14),1279437(14)])]. 1835741 L(x * (a(y,z,u) \ K(w,v5)),v6,v7) \ v8 = K(v5,w) * (L(a(y,z,u) \ x,v6,v7) \ v8). [para(397682(a,1),27446(a,1,1,1))]. 1835895 a(L(a(x,y,z) \ u,w,v5) \ v6,v7,v8) = a(L(a(x,y,z) * u,w,v5) \ v6,v7,v8). [back_rewrite(1472760),rewrite([1835741(6),12077(7)])]. 1840296 L(L(a(x,y,z) * u,a(x,y,z),w),w * a(x,y,z),v5) = (v5 * (a(x,y,z) \ w)) \ (v5 * (w * u)). [para(652652(a,2),60540(a,1,1)),rewrite([5539(3),12075(6),15121(8),443999(9),26562(9),15121(12),7760(13)])]. 1840673 (x \ ((x * a(y,z,L(u,w,v5))) * v6)) * a(v5,w,a(y,z,u)) = a(y,z,u) * L(v6,a(y,z,u),x). [para(401733(a,1),1840296(a,2,1)),rewrite([5539(5),1087056(7),995099(9),26562(8),1830242(6),1196037(11),1087056(11),12013(16),1196576(15),1350284(12),7735(15),5784(16)]),flip(a)]. 1853813 L(x,y,z) \ (((L(x,y,z) / u) * R(u,w,v5)) * x) = R(u,w,v5) * (u \ x). [para(437700(a,2),353771(a,2,2)),rewrite([147(10),369630(5),53(3),6159(2),948(1),49(2),1130758(11),821123(11)])]. 1853871 (R(x,y,z) * (x \ u)) * u = u * (R(x,y,z) * (x \ u)). [para(437700(a,2),504398(a,1,1,2)),rewrite([1130758(4),821123(4),1853813(11)])]. 1853901 L(x \ ((x / y) * R(y,z,u)),y,y) = L(y \ R(y,z,u),y,x). [para(437700(a,1),61616(a,1,1)),rewrite([829003(7),272385(9),28083(10)])]. 1854045 a(x,y,z \ ((z / L(u,w,v5)) * L(R(u,v6,v7),w,v5))) = a(x,y,a(u,v6,v7)). [para(437700(a,1),1086045(a,1,3)),rewrite([63(4),63(10),272623(11),1094818(12)])]. 1854389 L(x \ ((x / L(y,z,u)) * L(R(y,w,v5),z,u)),y,L(y,z,u)) = L(L(y \ R(y,w,v5),z,u),y,x). [hyper(295,a,1155360,a,b,1853901,a),rewrite([63(4),1854045(7),63(6),1854045(9),63(8),1196868(11),150510(13),17060(14),1190018(12),63(11),272623(12),1027734(13)])]. 1854413 a(x,y,a(z,u,w)) = a(w,u,a(x,y,z)). [hyper(7088,a,1853901,a(flip),b,1140262,a),rewrite([63(4),63(11),1110989(14),1111522(14),1245955(8),1198953(8),1807949(7),323(5),49(6),1128763(5),397262(4),1196868(4),48(4),63(6),150510(10),1854389(10),1148258(7),6174(6),287528(5),323(3),408(4),63(6),150510(10),1854389(10),1148258(7),63(8),272623(9),1027734(10),305594(10),304101(8),1194695(7),394194(5),1087056(5),1087056(4),974609(5)])]. 1854727 a(x * y,z,a(u,w,v5)) = a(u,w,a(v5,z,y * x)). [hyper(5081,a,1087420,a,b,1854413,a),rewrite([1087056(3),974609(4),395104(3)])]. 1854753 a(x,y,a(z,u,w)) = a(w,y,a(x,u,z)). [hyper(5081,a,1854413,a(flip),b,1854413,a)]. 1854774 a(x,y,a(z,u,w * (L(v5,v5,w) * v6))) = a(v5 * (w \ v6),u,a(x,y,z)). [hyper(5081,a,419302,a(flip),b,1854413,a),flip(a)]. 1854943 L(x,y,a(z,u,w)) = L(x,y,a(w,u,z)). [para(1854413(a,1),339095(a,1,2)),rewrite([13028(5),1192167(3),394232(5)])]. 1854944 a(x,y,a(z,u,w)) * w = L(w,u,a(x,y,z)). [para(1854413(a,2),339095(a,1,2)),rewrite([13028(5),394232(6)])]. 1854945 x * a(y,z,a(u,w,x)) = L(x,w,a(y,z,u)). [para(1854413(a,2),339095(a,2,2)),rewrite([339095(5),394232(3)]),flip(a)]. 1854982 a(x,y,z) * a(x,y,a(z,u,w)) = a(x,y,L(z,u,w)). [para(1854413(a,2),594514(a,2,2)),rewrite([5534(4),1082433(5)]),flip(a)]. 1855030 x * (y * a(z,u,a(w,v5,x))) = L(x,v5,a(z,u,w)) * y. [para(1854413(a,2),783763(a,1,2,2))]. 1855060 (x \ y) * a(z,u,a(w,v5,x)) = L(x,v5,a(z,u,w)) \ y. [para(1854413(a,2),1006451(a,1,2,2)),rewrite([16922(4),1313669(8)])]. 1855092 a(c5,c4,a(c3,c2,c1)) != 1. [para(1854413(a,2),1197044(a,1))]. 1855163 (x \ y) * a(z,u,a(w,v5,y)) = x \ L(y,u,a(w,v5,z)). [para(1854413(a,1),1212455(a,1,2))]. 1855299 L(L(x,y,a(z,u,w)),y,w) = L(x,y,L(w,u,z)). [back_rewrite(1128687),rewrite([1854944(3)])]. 1855921 a(x * y,z,a(u,w,v5)) = a(v5,w,a(u,z,y * x)). [hyper(295,a,1209134,a,b,1854753,a)]. 1855932 a(x,y,a(z,u,w)) = a(w,u,a(z,y,x)). [hyper(295,a,401843,a,b,1854753,a),rewrite([1087056(3),1087056(2),974609(3),1087056(9),1087056(8),974609(9),7735(9),1076485(8),49(5),397257(4),1196868(4),48(4)])]. 1855945 a(x * y,z,a(u,x,y)) = a(u,z,a(x,x,y)). [hyper(295,a,419508,a(flip),b,1854753,a),flip(a)]. 1855946 a(x * y,z,a(u,y,x)) = a(u,z,a(y,y,x)). [hyper(295,a,398395,a(flip),b,1854753,a),flip(a)]. 1856065 L(x,y,a(z,u,w)) = L(x,u,a(z,y,w)). [para(1854753(a,2),339095(a,1,2)),rewrite([13028(5),1854944(3),394232(5)])]. 1856110 a(x,y,z) * (u * a(z,w,a(v5,y,x))) = u * a(x,y,L(z,w,v5)). [para(1854753(a,1),626373(a,1,2)),rewrite([7735(5),1081850(10)])]. 1856115 a(x,y,z) \ a(x,u,a(z,y,w)) = L(a(x,y,z) \ 1,u,w). [para(1854753(a,2),626673(a,1,2)),rewrite([6706(3),12999(6),6706(8),1076543(8)])]. 1856408 a(x,y,a(z,u,w)) * v5 = v5 * a(w,u,a(z,y,x)). [para(1855932(a,1),1143(a,1,1))]. 1856506 a(c1,c2,a(c3,c4,c5)) != 1. [para(1855932(a,1),1855092(a,1))]. 1856987 a(x * (y * (a(z,u,w) * x)),v5,a(v6,v7,v8)) = a(v6,v7,a(v8,v5,y * a(z,u,w))). [para(385515(a,1),1854727(a,1,1)),rewrite([752758(6),1472102(6),1186342(11),1249213(11)])]. 1859166 x * (a(y,z,a(u,w,x)) * v5) = L(x,w,a(y,z,u)) * v5. [para(1854945(a,1),7732(a,1,1)),flip(a)]. 1859279 (x / y) * a(z,u,a(w,v5,y)) = x / L(y,u,a(w,v5,z)). [para(1854945(a,1),314974(a,2,2)),rewrite([6706(3),1196868(3),17628(4),393579(7),5534(7)])]. 1859371 (x / y) * a(y,z,a(u,w,v5)) = x / L(y,w,a(v5,z,u)). [para(1854945(a,2),497446(a,2,2)),rewrite([394194(4),251008(11),158417(11),974609(10),17022(10),198567(9),437268(9),1859279(8)])]. 1860597 a(a(x,y,z) * (u * w),v5,a(v6,v7,v8)) = a(v8,v7,a(v6,v5,w * (u * a(x,y,z)))). [para(15112(a,2),1855921(a,1,1)),rewrite([15112(5),12546(7),395380(5),451620(5),7724(10),13929(11)])]. 1860880 a(a(x,y,z) * (u * w),v5,a(v6,v7,v8)) = a(u * (w * a(x,y,z)),v5,a(v8,v7,v6)). [hyper(5081,a,1854774,a(flip),b,1860597,a),rewrite([1030545(5),403700(11),451620(10)]),flip(a)]. 1861208 a(a(x,y,z) * ((u * w) * v5),v6,a(v7,v8,v9)) = a(a(x,y,z) * (u * (w \ v5)),v6,a(v9,v8,v7)). [para(11786(a,1),1860880(a,1,1,2)),rewrite([47180(7),968089(14),385017(10),11786(12),991909(13),1776429(13),395380(12),451620(12)])]. 1862095 a(x,y,a(z,u,w)) * (w \ v5) = L(w,u,a(z,y,x)) \ v5. [hyper(5081,a,1006451,a,b,1856408,a),rewrite([1006451(4),1313669(4)]),flip(a)]. 1862789 L(x,y,a(z,u,w)) * a(v5,v6,v7) = a(v5,v6,v7) * L(x,y,a(w,u,z)). [para(1854943(a,1),15040(a,1,1))]. 1862916 a(x,y,a(z,u,w)) * (v5 / x) = v5 / L(x,u,a(z,y,w)). [para(1854943(a,1),497446(a,1,2,2)),rewrite([394194(4),1859371(4),1210820(9)]),flip(a)]. 1863008 L(a(x,y,z) \ (u \ a(x,y,z)),w,a(v5,v6,v7)) * a(x,y,z) = L(u,w,a(v7,v6,v5)) \ a(x,y,z). [hyper(5081,a,307607,a,b,1862789,a),rewrite([394194(3),1212790(5)]),flip(a)]. 1866098 a(x,y,a(z,u,a(w,v5,v6) * v7)) * (a(w,v5,v6) / v7) = L(a(w,v5,v6) / v7,u,a(x,y,z)). [hyper(5081,a,1233579,a,b,1854944,a),rewrite([1233579(7),14988(7),454312(7)]),flip(a)]. 1866130 L(x,y,a(z,u,w)) \ a(x,v5,v6) = L(x \ a(x,v5,v6),y,a(w,u,z)). [hyper(295,a,339104,a,b,1854944,a),rewrite([454312(3),1449805(3),974609(3),339104(5),1862095(5)])]. 1866358 a(x,y,z) * L(x \ 1,u,a(w,v5,v6)) = L(x \ a(x,y,z),u,a(v6,v5,w)). [back_rewrite(1165010),rewrite([1866130(10)])]. 1866550 L(x,y,a(z,z,u)) \ (z * ((a(u,y,z) \ z) \ x)) = a(u,y,z). [hyper(7088,a,1155472,a(flip),b,1856110,a),rewrite([1192162(4),6174(4),547(2),1192162(4)]),flip(a)]. 1866789 L(L(x,y,a(z,u,w)),y,z) = L(x,y,L(z,u,w)). [hyper(5083,a,626663,a,b,1856110,a),rewrite([626663(7),400780(6),1191706(5),17022(4),1854944(3),1855299(3),17022(6),394386(5)]),flip(a)]. 1866883 L(x,y,z) * a(u,w,L(x,y,z)) = L(x * a(u,w,x),y,z). [hyper(5081,a,626663,a,b,1856110,a),rewrite([626663(6),17022(9),394386(8),1866789(8),1223208(8)])]. 1866885 L(x,y,a(z,x,y)) \ (z \ ((z * x) * L(y,u,w))) = L(y * a(z,x,y),u,w). [hyper(5081,a,594514,a,b,1856110,a),rewrite([985426(4),784027(3),17022(12),394386(11),1866789(11),1223208(11)])]. 1869719 L(x,y,a(z,z,u)) * a(u,y,z) = z * ((a(u,y,z) \ z) \ x). [hyper(5457,a,1866550,a)]. 1870876 L(L(x,y,a(z,u,w)),v5,v6) = L(L(x,v5,v6),u,a(w,y,z)) # label(flip_matches_hint). [hyper(7088,a,25958,a(flip),b,1855030,a(flip)),rewrite([974609(6),561(6),974609(6),974609(8),974609(10),1076485(10),49(7),1196868(7),17022(7),1854944(6)]),flip(a)]. 1871027 L(L(x,y,z),u,a(w,v5,v6)) * (x \ v7) = L(x,y,z) * (L(x,u,a(w,v5,v6)) \ v7). [hyper(5083,a,1855030,a(flip),b,158113,a),rewrite([354832(5),974609(9),16922(10),1855060(10)])]. 1873200 L(L(x,a(y,z,u),w),w,a(y,z,u)) = L(L(x,z,a(u,w,y)),a(y,z,u),w). [hyper(5081,a,1230078,a,b,1870876,a),rewrite([1230078(6)])]. 1873481 a(x,y,a(z,u,w)) * (L(x,v5,v6) \ v7) = L(L(x,v5,v6),u,a(w,y,z)) \ v7. [para(1870876(a,2),307607(a,1,1,2)),rewrite([305594(5),394194(3),1087056(3),1087056(2),974609(3),1212602(11)])]. 1873914 a(x,y,z) * (u \ (a(x,y,z) \ (u * w))) = L(L(w,y,a(z,u,x)),a(x,y,z),u). [back_rewrite(1230078),rewrite([1873200(10)])]. 1874898 L(L(x,y,z),u,a(z,y,w)) = L(x,y,L(z,u,w)). [hyper(295,a,1870876,a(flip),b,1855299,a)]. 1875715 L(L(x,y,L(z,u,w)),v5,a(z,y,v6)) = L(x,y,L(L(z,u,w),v5,v6)). [hyper(5081,a,210014,a,b,1874898,a),rewrite([210014(4),1079373(7),985426(8)]),flip(a)]. 1875859 a(x,y,a(z,u,w)) * a(x,y,z) = a(x,y,L(z,u,w)). [para(1874898(a,1),1399687(a,1,1,1)),rewrite([1192434(4),1874898(8),1386398(10),1854982(8)])]. 1875993 a(x * y,z,u) * a(y,y,a(u,z,x)) = a(y \ x,z,u). [hyper(5083,a,1089856,a(flip),b,1875859,a),rewrite([395104(3),1855946(3),1196868(5)])]. 1876158 L(x,y,z) \ L(x,u,a(z,y,w)) = L(L(x,y,z) \ x,u,w). [para(1009056(a,1),1875859(a,1,2)),rewrite([1079373(2),974609(3),1211447(5),1129333(7)])]. 1876273 a(R(x,y,z) \ u,w,v5) * a(v5,w,a(x,x,u)) = a(u * R(x,y,z),w,v5). [hyper(7088,a,1175582,a,b,1875993,a),rewrite([1167379(7),784550(7),1088849(6),1087056(5),974609(6),561(6),1167379(7),784550(7),1088849(6),1087056(5),974609(6),1175582(9),1196868(9)]),flip(a)]. 1876284 a(L(x,y,z) \ u,w,v5) * a(v5,w,a(x,x,u)) = a(u * L(x,y,z),w,v5). [hyper(7088,a,1083371,a,b,1875993,a),rewrite([784550(7),1079373(6),1087056(5),974609(6),561(6),784550(7),1079373(6),1087056(5),974609(6),1083371(9),1196868(9)]),flip(a)]. 1876530 a(L(x,y,z) * u,w,v5) * a(x,x,a(v5,w,u)) = a(L(x,y,z) \ u,w,v5). [para(2195(a,1),1875993(a,1,1,1)),rewrite([784550(9),13927(8),1079373(7),1087056(6),974609(7),12463(6),20060(10)])]. 1876535 a(R(x,y,z) * u,w,v5) * a(x,x,a(v5,w,u)) = a(R(x,y,z) \ u,w,v5). [para(6623(a,1),1875993(a,1,1,1)),rewrite([1167379(9),784550(9),13927(8),1088849(7),1087056(6),974609(7),12463(6),21369(10)])]. 1876602 a(((a(x,y,z) * u) * w) \ v5,v6,v7) = a((u * (w * a(x,y,z))) \ v5,v6,v7). [para(391739(a,1),1875993(a,1,1,1)),rewrite([971950(5),785948(13),419486(13),395380(13),398387(13),1875993(14)]),flip(a)]. 1876913 a((x * (y * a(z,u,w))) \ ((x * (a(z,u,w) \ v5)) * y),v6,v7) = a(v5,v6,L(v7,a(z,u,w) * x,y)). [back_rewrite(1175677),rewrite([1876602(9)])]. 1878873 L(L(x * a(y,z,x),u,w),a(v5,v6,v7),x) = L(x * a(y,z,x),u,w). [hyper(5081,a,5524,a,b,1866885,a),rewrite([1072474(8),635974(7),635974(6),1866885(12)])]. 1878944 L(x * a(y,z,x),a(u,w,v5),x) = x * a(y,z,x). [para(5524(a,1),1866885(a,1,2,2,2)),rewrite([594514(6)]),flip(a)]. 1879108 L(x,L(y * a(z,u,y),w,v5) * v6,a(v7,v8,v9)) = L(x,L(y,w,v5) * L(v6,u,z),a(v7,v8,v9)). [para(1866885(a,1),784525(a,1,2,1)),rewrite([788800(16),784525(14),784538(14),56(11)])]. 1879179 a(L(x * a(y,z,x),u,w) * v5,v6,v7) = a(v5 * L(L(x,u,w),z,y),v6,v7). [para(1866885(a,2),1019400(a,2,1,1)),rewrite([1090796(5),1084872(7),626373(4),1071849(6),20253(5),1019802(5),1866885(11)]),flip(a)]. 1879538 L(x,y,z) * (x \ a(u,w,L(x,y,z))) = x * L(x \ a(u,w,x),y,z). [hyper(5083,a,1878944,a,b,158354,a),rewrite([1866883(4),635974(6),1878873(5),69930(4),458586(9),597860(9)]),flip(a)]. 1880999 x * (L(x,y,L(L(z,u,w),v5,v6)) \ L(x,y,z)) = L(L(x,y,a(w,u,z)),v5,a(z,y,v6)). [para(1879538(a,2),629630(a,1,1)),rewrite([1087056(2),1087056(5),974609(6),1076543(6),1082368(7),1191740(5),7732(6),1854944(5),17060(5),1854944(3),1076543(9),1081548(11),1813847(10)]),flip(a)]. 1881039 L(x \ a(x,y,a(z,u,w)),y,a(v5,v6,w)) = L(x \ a(x,y,a(v5,v6,w)),y,a(w,u,z)). [para(1879538(a,2),1005362(a,1,1)),rewrite([1087056(2),1087056(5),974609(6),1076543(6),1082368(7),1191740(5),1003545(8),1194053(7),1076481(6),1866358(7),1076543(9),1081548(13),1059281(11),1082077(10),1082077(9),1223594(13)]),flip(a)]. 1881182 a(x,y,z) * (a(x,y,L(L(z,u,w),v5,v6)) \ z) = L(L(z,y,a(v6,v5,x)),u,a(x,y,w)). [back_rewrite(1813847),rewrite([1880999(12)])]. 1892609 L(x,R(y,z,u) \ w,v5) = L(x,L(y,z,u) \ w,v5). [para(203(a,2),219636(a,1,2,1,2)),rewrite([794611(9),252854(8),143267(4),27503(4),28031(5),204273(8),50(7)]),flip(a)]. 1892645 L(x,y * (R(y,z,u) \ (w * (y \ 1))),v5) = L(x,R(y,z,u) * w,v5). [para(2467(a,1),219636(a,2,2)),rewrite([1090501(10),96853(11),219636(10),776371(6),77943(13),27291(11)])]. 1892854 a(x,y * ((z * u) \ ((z * y) * w)),a(v5,v6,v7)) = a(x,w * R(u,z,y),a(v5,v6,v7)). [para(219636(a,1),394194(a,1,2)),rewrite([784482(4),394194(5),785946(11),785983(11),785948(11)]),flip(a)]. 1892980 L(x,a(y,z,u),w) = L(x,a(u,z,y),w). [para(647829(a,1),219636(a,2,2)),rewrite([455829(10),219636(8),1892609(5),277310(5),983866(3),1164511(5)])]. 1893031 a(x,y * R(z,u,w),a(v5,v6,v7)) = a(x,y * L(z,u,w),a(v5,v6,v7)). [para(219636(a,1),1101827(a,1,1,3,1)),rewrite([1892609(3),1096895(5),1101827(8),785946(11),785983(11),785948(11),1892854(11)]),flip(a)]. 1893127 L(x,R(y,z,u),w) = L(x,L(y,z,u),w). [para(581256(a,1),219636(a,1,2)),rewrite([28083(7),566795(5),28115(6)]),flip(a)]. 1893328 L(x,y * (R(y,z,u) \ w),v5) = L(x,w * a(u,z,y),v5). [back_rewrite(1402675),rewrite([1892609(4),1296538(4)]),flip(a)]. 1893542 a(x,y * (z \ a(y,u,w)),a(v5,v6,v7)) = a(x,z * L(y,u,w),a(v5,v6,v7)). [back_rewrite(1431316),rewrite([1893031(9)])]. 1894552 L(x,R(y,z,u) * w,v5) = L(x,L(y,z,u) * w,v5). [back_rewrite(1892645),rewrite([1893328(7),21238(6),626536(4),1296652(4)]),flip(a)]. 1895019 L(x,y \ R(z,u,w),v5) = L(x,y \ L(z,u,w),v5). [back_rewrite(694916),rewrite([1894552(5),694866(5)]),flip(a)]. 1895032 L(x,((y * z) \ ((y * u) * z)) * w,v5) = L(x,L(u,y,z) * w,v5). [back_rewrite(681126),rewrite([1894552(9)])]. 1895412 a(x,a(y,z,u),w) = a(w,a(u,z,y),x). [hyper(7088,a,1892980,a,b,1230047,a),rewrite([547(3),386956(5)])]. 1895869 a(x,a(y,z,u),w) * v5 = a(w,a(u,z,y),x) * v5. [hyper(289,a,1895412,a)]. 1897074 L(x,(y \ z) * a(y,u,w),v5) = L(x,L(y,u,w) \ z,v5). [para(1131235(a,1),1892609(a,2,2,1)),rewrite([1449019(2),1106237(4),697510(8),1430904(8)])]. 1897458 L(x,a(y,z,u) * w,v5) = L(x,w * a(u,z,y),v5). [para(49318(a,1),1897074(a,1,2,1)),rewrite([1079373(5),12463(5),7724(5),1106861(6),27293(5),1140619(9),694245(9),1296169(8),1079373(5),1085849(7)])]. 1898017 L(x,a(y,z,u) * (u \ w),v5) = L(x,L(u,z,y) \ w,v5). [hyper(5081,a,1897074,a(flip),b,1897458,a),flip(a)]. 1908213 a(x * (L(L(y,y,z),u,w) * z),v5,v6) = a((y \ z) * (x * a(w,u,y)),v5,v6). [para(482685(a,1),46819(a,2,1,2)),rewrite([1325926(7),403575(6),13808(5)]),flip(a)]. 1908354 a(a(x,y,z) * (u * (L(z,z,u) \ w)),v5,a(v6,v7,v8)) = a(z * L(w \ u,y,x),v5,a(v6,v7,v8)). [para(482685(a,1),396158(a,2,1,2)),rewrite([395380(8),396183(8),158808(6),991681(8),451620(7),1908213(13),396183(13),1071849(13),395380(12),991909(12)])]. 1910341 L(x,L(L(y / z,u,w),v5,v6) * v7,v8) = L(x,L(L(z \ y,u,w),v5,v6) * v7,v8). [para(504398(a,1),250987(a,1,2)),rewrite([1140308(9),1472347(9),77943(9),681135(7),158172(7),1140049(12),162842(11),1471799(14),1130310(13),77943(14),681135(12),158172(12)])]. 1910573 L(x,y \ L(z \ 1,u,w),v5) = L(x,y \ L(z,u,w),v5). [para(268782(a,1),694871(a,1,2)),rewrite([217672(12),269492(11),60(9),99488(11)])]. 1910718 L(x,y,z * ((z \ L(u \ 1,w,v5)) * v6)) = L(x,y,z * ((z \ L(u,w,v5)) * v6)). [back_rewrite(1266255),rewrite([1910573(6),24263(5)]),flip(a)]. 1913792 L(x,y,L((z * u) \ ((z * w) * u),v5,v6) * v7) = L(x,y,L(R(w,z,u),v5,v6) * v7). [hyper(295,a,994223,a(flip),b,698671,a),rewrite([990395(13),995450(13),1065692(12)])]. 1913805 L(x,y,R(z,u,w) * v5) = L(x,y,L(z,u,w) * v5). [para(203(a,1),698671(a,1,3,1,1)),rewrite([1826382(9),597360(5),699888(6),204513(5)]),flip(a)]. 1913959 L(x,y,L(R(z,u,w),v5,v6) * v7) = L(x,y,L(L(z,u,w),v5,v6) * v7). [para(158113(a,1),698671(a,2,3)),rewrite([1807949(9),698671(10),1913805(7),1151317(6)]),flip(a)]. 1914014 L(x,y,z * R(R(z,u,w),v5,v6)) = L(x,y,z * L(R(z,v5,v6),u,w)). [para(283609(a,1),698671(a,2,3)),rewrite([251792(5),1913805(7),1913792(7),103085(3)]),flip(a)]. 1914237 a(R(x,y,z) * u,w,v5) = a(L(x,y,z) * u,w,v5). [para(698671(a,1),1030260(a,1,1,1)),rewrite([1913805(3),1030260(5),208662(9)]),flip(a)]. 1914238 a(x,R(y,z,u) * w,v5) = a(x,L(y,z,u) * w,v5). [para(698671(a,1),1030260(a,1)),rewrite([1895032(6),1913805(7),1030260(7),797930(9)]),flip(a)]. 1914321 L(x,y,z * ((z \ R(u,w,v5)) * v6)) = L(x,y,z * ((z \ L(u,w,v5)) * v6)). [para(24263(a,1),698671(a,2,3)),rewrite([1895019(7),698671(9),1913805(6),24263(5)]),flip(a)]. 1914724 L(x,y,z * L(R(z,u,w),v5,v6)) = L(x,y,z * L(L(z,u,w),v5,v6)). [back_rewrite(1206797),rewrite([1913805(8),1913959(8),699843(8),148363(5),251026(6),149084(5),149760(4),1914014(8)]),flip(a)]. 1914998 L(x,y,a(z,u,w) * a(z,v5,v6)) = L(x,y,z * L(L(z,v5,v6),u,w)). [back_rewrite(1206623),rewrite([1914014(8),1914724(8)])]. 1915556 a(R(x,y,z) \ u,w,v5) = a(L(x,y,z) \ u,w,v5). [back_rewrite(1876535),rewrite([1914237(3),1876530(6)]),flip(a)]. 1915581 a(x * (R(x,y,z) * u),w,v5) = a(x * (L(x,y,z) * u),w,v5). [back_rewrite(1767313),rewrite([1914237(6),1071836(6)]),flip(a)]. 1915609 a(x * L(R(y,z,u),w,v5),v6,v7) = a(x * L(L(y,z,u),w,v5),v6,v7). [back_rewrite(1472811),rewrite([1914237(5),1879179(5)]),flip(a)]. 1915745 a(x * (y * R(z,u,w)),v5,v6) = a(x * (y * L(z,u,w)),v5,v6). [back_rewrite(1060568),rewrite([1914237(6),1060295(6)]),flip(a)]. 1916038 a(x,y * R(z,u,w),v5) = a(x,y * L(z,u,w),v5). [back_rewrite(852991),rewrite([1914238(5),667266(5)]),flip(a)]. 1916139 L(x,y,z * R(u,w,v5)) = L(x,y,z * L(u,w,v5)). [back_rewrite(1206242),rewrite([1914321(7),1910718(7),993907(5),994930(4)]),flip(a)]. 1916393 L(x,y,a(z,u,w) * a(v5,v6,z)) = L(x,y,z * L(L(z,u,w),v6,v5)). [back_rewrite(1175195),rewrite([1914724(8)])]. 1916395 L(x,y,a(z,u,w) * a(w,v5,v6)) = L(x,y,w * L(L(w,v5,v6),u,z)). [back_rewrite(1175130),rewrite([1914724(8)])]. 1916660 a(x * R(y,z,u),w,v5) = a(x * L(y,z,u),w,v5). [back_rewrite(1876273),rewrite([1915556(3),1876284(6)]),flip(a)]. 1917250 a(x * a(y,z,u),w,L(v5,y,y)) = a(y * (L(y,z,u) * x),w,v5). [back_rewrite(1175917),rewrite([1915581(8)])]. 1917489 a(a(x,y,z) * a(x,u,w),v5,v6) = a(x * L(L(x,u,w),y,z),v5,v6). [back_rewrite(1401357),rewrite([1916660(8),1915609(8)])]. 1917626 a(a(x,y,z) * (u * (x \ w)),v5,a(v6,v7,v8)) = a(w * (u * L(x,y,z)),v5,a(v6,v7,v8)). [back_rewrite(1364869),rewrite([1915745(11)])]. 1917638 a(x * (y * L(z,y,x \ (y \ x))),u,a(w,v5,v6)) = a(z * (x * y),u,a(w,v5,v6)). [back_rewrite(1239430),rewrite([1915745(7)])]. 1917907 a(x,(R(y,z,u) * w) * v5,v6) = a(x,(L(y,z,u) * w) * v5,v6). [back_rewrite(219282),rewrite([1916038(5),654907(5)]),flip(a)]. 1918122 L(x \ R(x,y,z * (y * R(y,u,w))),x,z * L(y,u,w)) = a(x,y,z * (y * R(y,u,w))). [back_rewrite(1588672),rewrite([1916139(8)])]. 1918212 L(x \ R(x,y,z * a(y,u,w)),x,z * L(y,u,w)) = a(x,y,z * a(y,u,w)). [back_rewrite(1364839),rewrite([1916139(7)])]. 1918790 a(x * (y * a(x,z,u)),w,v5) = a(y * L(x,z,u),w,v5). [back_rewrite(1094591),rewrite([1916660(7)])]. 1918835 a(x * ((y * z) \ ((y * u) * z)),w,v5) = a(x * L(u,y,z),w,v5). [back_rewrite(134384),rewrite([1916660(9)])]. 1919663 a(x,(y \ R(z,u,w)) * v5,v6) = a(x,(y \ L(z,u,w)) * v5,v6). [back_rewrite(1177640),rewrite([1917907(6),1177573(6)]),flip(a)]. 1932449 (a(x,y,z) * u) \ a(w,v5,v6) = a(x,y,z) \ (u \ a(w,v5,v6)). [para(1231703(a,1),397513(a,2,2)),rewrite([784482(6),48(4),1087056(4),454288(4),1231995(7)])]. 1932753 T((x * a(y,z,u)) \ a(w,v5,v6),v7) = T(a(y,z,u) \ (x \ a(w,v5,v6)),v7). [back_rewrite(1457668),rewrite([1932449(4),513167(8),394737(5)]),flip(a)]. 1932846 (x * a(y,z,u)) \ a(w,v5,v6) = a(y,z,u) \ (x \ a(w,v5,v6)). [back_rewrite(1407787),rewrite([1932753(6),531963(6)]),flip(a)]. 1933098 (x * a(y,z,u)) \ (w \ R(w,v5,v6)) = a(y,z,u) \ (x \ (w \ R(w,v5,v6))). [para(1167079(a,1),1932846(a,1,2)),rewrite([1167079(8)])]. 1942268 a((x * (y * (z \ 1))) \ u,w,v5) = a((x * (y * z)) \ u,w,v5). [para(85484(a,1),1083045(a,1,3)),rewrite([277861(12),70150(11),1175473(9)]),flip(a)]. 1945924 L(x,y,a(z,u,w)) * (L(x,v5,v6) \ v7) = x * (L(L(x,v5,v6),u,a(w,y,z)) \ v7). [hyper(5081,a,395304,a,b,118332,a),rewrite([118328(5),1002176(6),1873481(5)]),flip(a)]. 1947562 (x \ 1) \ (a(y,z,u) \ L(x \ K(w,v5),v6,v7)) = K(w,v5) * (x \ (a(y,z,u) \ L(x,v6,v7))). [hyper(5083,a,400695,a,b,31968,a),rewrite([1127701(10),1418754(9),413575(8),1127727(9),5754(6)]),flip(a)]. 1951397 L(x,L(y,z,u) * L(w,v5,v6),a(v7,v8,v9)) = L(x,w * L(L(y,z,u),v5,v6),a(v7,v8,v9)). [para(1866883(a,1),784538(a,1,2,1)),rewrite([1879108(6),1898017(12),784482(10)])]. 1954052 (x \ ((x * a(y,z,L(u,w,v5))) * v6)) * a(y,z,a(v5,w,u)) = a(y,z,u) * L(v6,a(y,z,u),x). [para(1365874(a,2),823978(a,1,2)),rewrite([6706(3),1082629(5),1087056(6),6706(9),397087(10),400780(9),1086619(8),1196556(8),1350331(5),6706(12),1082629(14),400780(13),1191706(12),6706(14),1082629(16),1196576(16),1840673(16)])]. 1954299 a(x,y,z) \ L(L(a(x,y,z) \ 1,u,w),v5,v6) = z \ L(L(z,y,L(x,u,w)),y,L(x,v5,v6)). [hyper(5083,a,354772,a,b,1140287,a),rewrite([1087056(3),6706(4),1082077(4),1087056(8),6706(9),1082077(9),1079749(10),1110989(8),336(4),1087056(3),1086619(5),324(4),1087056(3),1087056(2),974609(3),1087056(4),6706(7),1189836(8),48(8),1196868(7),1855060(7),1212559(6),1874898(5),1087056(9),6706(10),1082077(10)]),flip(a)]. 1954648 a(x,y,L(L(z,u,w),v5,v6)) \ (a(x,y,z) \ 1) = z \ L(L(z,y,L(x,u,w)),y,L(x,v5,v6)). [back_rewrite(1127835),rewrite([1954299(14)])]. 1956210 L(x,y,a(z,u,a(w,v5,v6) * (((v6 \ v7) * v8) * v7))) = L(x,y,a(z,u,v8 * L(v6,v5,w))). [para(854894(a,1),991383(a,1,3,3,2,2)),rewrite([788481(9),1103641(7)])]. 1960378 L(x \ 1,y,z) / (x \ a(x,u,w)) = x \ (a(x,u,w) \ L(x,y,z)). [para(339031(a,1),716890(a,2,2)),rewrite([304101(6),324(3),48(3),6706(4),1059281(4),206104(8),385866(6),1003487(6),11892(6),1612943(4),1059281(4)]),flip(a)]. 1960957 L((x \ K(y,z)) \ 1,u,w) / ((x \ K(y,z)) \ a(x,v5,v6)) = x \ (a(x,v5,v6) \ L(x,u,w)). [hyper(5081,a,31968,a,b,1960378,a),rewrite([46613(6),1947562(9),5784(8),46613(14)]),flip(a)]. 1971691 a(x * L(a(y,z,u) \ w,v5,v6),v7,v8) = a(x * L(a(y,z,u) * w,v5,v6),v7,v8). [para(449358(a,2),1089856(a,2,1)),rewrite([1893127(8),1164532(8),1086045(9),1915556(8),1835895(8),1083499(8),449358(10),1916660(10)]),flip(a)]. 1987176 L(x \ 1,y,z) * R(L(1 / x,y,z) \ 1,u,w) = L(x * R(1 / x,u,w),y,z). [hyper(5081,a,158018,a,b,151517,a),rewrite([201268(11),75459(10),504347(8),353732(8),151517(20),273567(20),71386(16),208497(16),265719(14)])]. 1988438 L(x,L(y * R(1 / y,z,u),w,v5) * v6,v7) = L(x,v6 * a(y,z,u),v7). [para(1987176(a,1),26534(a,1,2,1)),rewrite([828519(17),1324716(12)])]. 1988442 L(x,y,L(z * R(1 / z,u,w),v5,v6) * v7) = L(x,y,v7 * a(z,u,w)). [para(1987176(a,2),158259(a,2,3,1)),rewrite([1435721(6),49(6),1066256(7),298396(4),1000354(5),1987176(13)]),flip(a)]. 1988462 L(x,L(L(y \ 1,z,u),w,v5) * (L(y,z,u) \ v6),a(v7,v8,v9)) = L(x,v6 * a(y,w,v5),a(v7,v8,v9)). [para(1987176(a,1),784538(a,1,2,1)),rewrite([1988438(8),277315(17),1894552(15),158172(15),1910341(13)]),flip(a)]. 1988495 a(x,y,L(z,u,a(w,v5,v6) * v7)) = a(x,y,L(z,u,v7 * a(v6,v5,w))). [para(1987176(a,1),1086123(a,1,3,3,1)),rewrite([1988442(7),277393(16),1913805(14),158259(14),1813706(12),1151128(9),993865(9),1079373(6),993400(8)]),flip(a)]. 2015836 R(x,y,(z \ R(z,u,w)) * v5) = R(x,y,v5 * a(z,u,w)). [para(256868(a,1),1172228(a,2,3,2)),rewrite([1014598(6),1855945(5),388758(7)])]. 2015852 R(x,y,z * (u * R(u,w,v5))) = R(x,y,z * a(u,w,v5)). [para(451734(a,1),1172228(a,2,3,2)),rewrite([1014598(6),399531(5),49(4),2015836(4),1436606(7)]),flip(a)]. 2016089 a(x,y,(z * R(z,u,w)) * v5) = a(x,y,v5 * a(z,u,w)). [back_rewrite(1206047),rewrite([2015836(4),266412(8)]),flip(a)]. 2016184 a(x,y,z * (y * R(y,u,w))) = a(x,y,z * a(y,u,w)). [back_rewrite(1918122),rewrite([2015852(4),1918212(7)]),flip(a)]. 2016350 a(x,y,(z \ R(z,u,w)) * v5) = a(x,y,v5 * a(z,u,w)). [back_rewrite(341427),rewrite([2016089(8)])]. 2016353 a(x,x,y * a(x,z,u)) = a(x,x,y). [back_rewrite(1543443),rewrite([2016184(4)])]. 2022122 a(x,x,(y * x) * z) = a(x,x,y * (z * x)). [para(853428(a,1),800825(a,2,3)),rewrite([5679(2),61(9),1339978(14),853428(5),1340811(5),72880(5),136487(10),1167379(8),1088849(8),1089836(8),1082637(8)]),flip(a)]. 2025213 x \ ((R(x,y,z) \ x) * u) = (R(x,y,z) \ x) * (x \ u). [para(1173420(a,1),17843(a,1,1,2)),rewrite([385927(7),385118(5),19564(3),1190418(6),1893127(5),784027(5),1000487(4),1173420(8),20865(12),857518(11),22473(12),1933098(10),1059281(9),1072211(8),394194(8),1856115(8),1168154(8)])]. 2055297 a(x,y,z * (u * R(u,w,v5))) = a(x,y,z * a(u,w,v5)). [para(1432608(a,2),453440(a,1,3,2)),rewrite([856101(5),6706(6),1658523(6),323(5),49(4),1588207(4),856101(9),1853871(10),1218221(10),1147163(12),2016350(8)])]. 2078043 a(x,a(y,z,u) * w,v5) = a(x,w * a(u,z,y),v5). [para(469074(a,2),50788(a,1,2)),rewrite([469074(8),1206187(6),50788(5),1919663(7),1296137(7)])]. 2078400 a(x,a(y,z,u) * (w * v5),a(v6,v7,v8)) = a(x,v5 * (w \ a(u,z,y)),a(v6,v7,v8)). [hyper(295,a,785983,a,b,2078043,a),rewrite([785983(5),785948(10)])]. 2100751 T((x * (R(y,z,u) \ y)) \ w,x \ w) = (x * (R(y,z,u) \ y)) \ w. [para(1438020(a,1),52279(a,1,2)),rewrite([12024(9),812085(7),403603(9),901290(9),323(6),49(7)])]. 2100948 a(x,x,y) * (R(x \ 1,z,u) * y) = (x * (R(x,z,u) \ x)) \ y. [back_rewrite(1819191),rewrite([2100751(6)]),flip(a)]. 2128107 R(R(x,y,z) \ 1,L(x,y,z),L(x,u,w)) = L(R(x,u,w),x,x) \ (R(x,y,z) \ R(x,u,w)). [hyper(5083,a,778051,a(flip),b,298825,a),rewrite([26414(8),209136(6),28083(6),1893127(4),1131171(4),994702(4),724440(14),206751(14),215709(12)]),flip(a)]. 2136506 L(R(x,y,z),x,x) \ (R(x,u,w) \ R(x,y,z)) = 1 / R(x,u,w). [hyper(5083,a,778051,a(flip),b,455743,a),rewrite([26414(6),209136(4),1893127(4),1131171(4),1150950(4),215709(12),1078616(12),1121336(10)])]. 2138145 R(R(x,y,z) \ 1,L(x,y,z),L(x,u,w)) = 1 / R(x,y,z). [back_rewrite(2128107),rewrite([2136506(12)])]. 2233959 a((x * (a(y,z,u) * w)) \ v5,v6,v7) = a((x * (w * a(y,z,u))) \ v5,v6,v7). [para(397483(a,2),279929(a,2,1,1)),rewrite([1104084(4),1942268(7),397483(9),1071149(10)])]. 2236397 a((x * (y * a(z,u,w))) \ v5,v6,v7) = a(a(z,u,w) * ((x * y) \ v5),v6,v7). [para(398776(a,2),1096719(a,1,3,2)),rewrite([398776(9),21238(8),398387(9),968089(9),1087308(9),1093191(10)])]. 2236499 a((x * (a(y,z,u) * w)) \ v5,v6,v7) = a(a(y,z,u) * ((x * w) \ v5),v6,v7). [back_rewrite(2233959),rewrite([2236397(10)])]. 2236530 a(x,y,L(z,a(u,w,v5) * v6,v7)) = a(x,y,L(z,v6,v7)). [back_rewrite(1876913),rewrite([2236397(9),1918835(9),1971691(6),1309723(6),394565(4),1146683(4),1140966(6),12556(4)]),flip(a)]. 2237674 a(x,a(y,z,u) * w,a(v5,v6,v7)) = a(x,w,a(v5,v6,v7)). [para(2236530(a,1),1086619(a,1,1)),rewrite([1086619(4)]),flip(a)]. 2237773 a(x,y * (z \ a(u,w,v5)),a(v6,v7,v8)) = a(x,z * y,a(v6,v7,v8)). [back_rewrite(2078400),rewrite([2237674(5)]),flip(a)]. 2238129 a(x,y * L(z,u,w),a(v5,v6,v7)) = a(x,y * z,a(v5,v6,v7)). [back_rewrite(1893542),rewrite([2237773(5)]),flip(a)]. 2238462 L(x,y * L(z,u,w),a(v5,v6,v7)) = L(x,y * z,a(v5,v6,v7)). [para(2238129(a,1),1449019(a,2,2)),rewrite([1087056(6),393579(7),985426(7),394232(8)])]. 2239037 L(x,L(y,z,u) * w,a(v5,v6,v7)) = L(x,w * y,a(v5,v6,v7)). [back_rewrite(1951397),rewrite([2238462(5),2238462(9),2238462(8)])]. 2239076 L(x,y * (z \ u),a(w,v5,v6)) = L(x,y * (z * u),a(w,v5,v6)). [back_rewrite(1132286),rewrite([2238462(7),191274(6)]),flip(a)]. 2239497 L(x,y * a(z,u,w),a(v5,v6,v7)) = L(x,y,a(v5,v6,v7)). [back_rewrite(1988462),rewrite([2239076(9),2239037(9),2238462(8),2239076(7),49(4),377027(3),2238462(5),143985(4),784027(3)]),flip(a)]. 2240415 L(L(x,y,a(z,u,w)),y,a(v5,v6,v7)) = L(x,y,a(v5,v6,v7) * a(z,u,w)). [back_rewrite(400427),rewrite([2239497(6)])]. 2242577 L(L(x,y,a(z,u,w)),u,a(v5,v6,v7)) = L(x,u,a(w,y,z) * a(v5,v6,v7)). [hyper(295,a,1870876,a,b,2240415,a)]. 2242578 L(L(x,y,a(z,u,w)),v5,a(v6,y,v7)) = L(x,y,a(v6,v5,v7) * a(z,u,w)). [hyper(295,a,1856065,a,b,2240415,a)]. 2242592 L(L(L(x,y,a(z,u,w)),v5,v6),y,a(v7,v8,v9)) = L(L(x,v5,v6),y,a(z,u,w) * a(v7,v8,v9)). [hyper(295,a,417,a(flip),b,2240415,a)]. 2242710 L(x,y,a(z,u,w) * a(v5,v6,v7)) \ L(x,y,a(v5,v6,v7)) = a(z,u,a(x,y,w)). [para(2240415(a,1),1009056(a,2,1)),rewrite([394205(6),1101592(5),1196412(3),1087056(4),1087056(3),454288(3)]),flip(a)]. 2242724 L(x \ a(y,z,a(x,u,w)),u,a(v5,v6,v7)) = L(x,u,a(y,z,w) * a(v5,v6,v7)) \ 1. [para(2240415(a,1),1128794(a,1,2,1,1)),rewrite([2242710(9),1087056(5),1087056(4),974609(5),1164939(5),1087056(9),985426(10),2240415(9)])]. 2242739 L(x,y,a(z,u,w) * a(v5,v6,v7)) \ 1 = L(x \ 1,y,a(z,u,w) * a(v5,v6,v7)). [para(2240415(a,1),1076481(a,1,1)),rewrite([1076481(10),2240415(12)])]. 2242866 a(x,y,z) * (a(x,y,L(L(z,u,w),v5,v6)) \ z) = L(z,y,x * L(L(x,u,w),v5,v6)). [back_rewrite(1881182),rewrite([2242578(10),1916393(10)])]. 2242890 L(x \ a(x,y,a(z,u,w)),y,a(v5,v6,w)) = L(x,y,w * L(L(w,u,z),v6,v5)) \ 1. [back_rewrite(1313845),rewrite([2242724(5),995902(4)]),flip(a)]. 2242897 L(x \ a(y,z,a(x,u,w)),u,a(v5,v6,v7)) = L(x \ 1,u,a(y,z,w) * a(v5,v6,v7)). [back_rewrite(2242724),rewrite([2242739(11)])]. 2242919 L(x \ a(x,y,a(z,u,w)),y,a(w,v5,v6)) = L(x,y,w * L(L(w,v5,v6),u,z)) \ 1. [back_rewrite(1881039),rewrite([2242890(5)]),flip(a)]. 2242921 (x \ L(L(a(x,y,z) \ 1,u,w),v5,v6)) * a(x,y,z) = L(x,y,z * L(L(z,v5,v6),u,w)) \ 1. [back_rewrite(1223594),rewrite([2242890(13)])]. 2243094 a(a(x,y,z) * ((u * (a(x,y,z) * w)) \ v5),v6,v7) = a((u * w) \ v5,v6,v7). [para(241(a,2),2236499(a,1,1,1,2)),rewrite([547(2),1144162(4),1306232(6),1143649(7),51(4),547(6)]),flip(a)]. 2243129 a(a(x,y,z) * ((u * w) \ ((a(x,y,z) * w) * v5)),v6,v7) = a((u * w) \ (v5 * w),v6,v7). [para(112107(a,2),2236499(a,1,1)),rewrite([112107(9),1351374(8),2243094(8)]),flip(a)]. 2243137 a(x,y,L(z,u,a(w,v5,v6) * v7)) = a(x,y,L(z,u,v7)). [para(143267(a,1),2236499(a,1,1)),rewrite([384019(3),1079373(6),12077(6),2243129(13),1088424(9)])]. 2243227 L(x,y,(z * (a(u,w,v5) * v6)) \ v7) = L(x,y,a(u,w,v5) * ((z * v6) \ v7)). [para(2236499(a,1),1017517(a,1,1,2)),rewrite([1017517(8)]),flip(a)]. 2243236 a(a(x,y,z) * (u * (w \ v5)),v6,a(v7,v8,v9)) = a(w * (u \ v5),v6,a(v9,v8,v7)). [para(2236499(a,1),1086619(a,2)),rewrite([2243227(5),2243137(6),1086118(4),1086123(4),1086619(6),451620(10),1861208(10)]),flip(a)]. 2243237 a(x * (y * (a(z,u,w) * v5)),v6,a(v7,v8,v9)) = a(v5 * (y \ x),v6,a(v7,v8,v9)). [para(2236499(a,2),1086619(a,2)),rewrite([2243137(6),1086118(4),1086123(4),1086619(6),395104(10)]),flip(a)]. 2243291 a(x,y,a(a(z,u,w) * ((v5 * v6) * v7),v8,v9)) = a(v6 * (v5 \ v7),v8,a(v9,y,x)). [para(2236499(a,1),1854413(a,1)),rewrite([451620(6),1861208(6),2243236(6),2236499(9),1233300(10)]),flip(a)]. 2243298 L(x,y,a(z,u,a(w,v5,v6) * ((v7 * v8) * v9))) = L(x,u,a(v8 * (v7 \ v9),y,z)). [para(2236499(a,2),1854945(a,1,2,3)),rewrite([2236499(5),1233300(6),2243291(6),1192162(5),991078(10)]),flip(a)]. 2243358 a(x,y,L(z,u,w * a(v5,v6,v7))) = a(x,y,L(z,u,w)). [back_rewrite(1988495),rewrite([2243137(4)]),flip(a)]. 2243830 a(x * (y * L(z,u,w)),v5,a(v6,v7,v8)) = a(z * (y \ x),v5,a(v8,v7,v6)). [back_rewrite(1917626),rewrite([2243236(6)]),flip(a)]. 2243831 a(x * L(y \ z,u,w),v5,a(v6,v7,v8)) = a(y * (x \ z),v5,a(v8,v7,v6)). [back_rewrite(1908354),rewrite([2243236(7),991909(5),992133(5)]),flip(a)]. 2243869 a(x,y,a(z,u,w * a(v5,v6,v7))) = a(w,u,a(x,y,z)). [back_rewrite(1856987),rewrite([2243237(6),395149(4)]),flip(a)]. 2243873 a(a(x,y,z) * u,w,a(v5,v6,v7)) = a(u,w,a(v5,v6,v7)). [back_rewrite(453109),rewrite([2243237(8),12556(6)]),flip(a)]. 2243930 L(x,y,a(z,u,w * L(v5,v6,v7))) = L(x,u,a(w * v5,y,z)). [back_rewrite(1956210),rewrite([2243298(7),12598(4)]),flip(a)]. 2244134 (a(x,y,z) \ u) \ (u * w) = u \ ((u * a(x,y,z)) * w). [back_rewrite(1218891),rewrite([2243358(5),1204316(4)]),flip(a)]. 2244941 a(x * (y \ z),u,a(w,v5,v6)) = a(x * (z * y),u,a(v6,v5,w)). [back_rewrite(1917638),rewrite([2243830(7)])]. 2245103 a(x,y,a(z * L(u,w,v5),v6,v7)) = a(z * u,v6,a(x,y,v7)). [back_rewrite(1210024),rewrite([2243831(8),1818732(5),395104(7),2244941(7),48(4),1019445(5)]),flip(a)]. 2245361 a(x,y,a(z,u,a(w,v5,v6) * v7)) = a(v7,u,a(x,y,z)). [back_rewrite(979001),rewrite([2243869(8)])]. 2245416 L(x,y,a(z,u,w)) * a(v5,v6,v7) = L(a(v5,v6,v7) * x,y,a(z,u,w)). [back_rewrite(1028261),rewrite([2243873(4),394208(5)])]. 2246844 a(x,y,z) * L(u,a(x,y,z),w) = L(u * a(x,y,z),a(x,y,z),w). [back_rewrite(1313750),rewrite([2244134(5),1954052(8)])]. 2249520 L(x,y,a(z,u,w)) \ a(v5,v6,v7) = L(x \ a(v5,v6,v7),y,a(w,u,z)). [back_rewrite(1863008),rewrite([2245416(8),51(6)]),flip(a)]. 2249794 a(x,y,z) / L(u,w,a(v5,v6,v7)) = L(a(x,y,z) / u,v6,a(v5,w,v7)). [back_rewrite(1866098),rewrite([2245361(4),1862916(5)])]. 2249988 L(a(x,y,z) * u,y,a(z,z,x)) = z * ((a(x,y,z) \ z) \ u). [back_rewrite(1869719),rewrite([2245416(4)])]. 2251522 L(x * a(y,z,u),a(y,z,u),w) * w = x * (a(y,z,u) * w). [back_rewrite(1232333),rewrite([2246844(4)])]. 2256700 x * (L(x,y,z * L(L(z,u,w),v5,v6)) \ v7) = a(z * L(L(z,u,w),v5,v6),y,x) * v7. [para(149475(a,1),2249988(a,1,1,1)),rewrite([149748(9),2243930(10),1193107(8),5534(8),149475(9),1809442(10)]),flip(a)]. 2257922 (x \ L(L(x,y,L(z,u,w)),y,z)) * (a(z,y,x) * v5) = a(z,y,L(x,u,w)) \ v5. [para(355479(a,1),2251522(a,1,1,1)),rewrite([1087056(2),1082077(4),420473(6),1081676(5),1087056(7),6706(8),1082077(8),1189824(9)]),flip(a)]. 2279070 (x * (R(x,y,z) \ x)) \ u = R(x,y,z) * (x \ (x \ u)). [para(62852(a,1),724754(a,2,2)),rewrite([852512(6),297487(3),2022122(4),11009(2),2055297(4),2016353(3),2100948(6),275510(11),62852(8)])]. 2281009 (R(x,y,z) \ 1) * (x \ L(x,u,w)) = x \ (R(x,y,z) \ L(x,u,w)). [hyper(5083,a,1444374,a(flip),b,2279070,a(flip)),rewrite([2025213(8),50(9),63590(4),2025213(9),606520(10),63663(7)]),flip(a)]. 2282022 L(x,y,z) * (R(x,u,w) \ 1) = R(x,u,w) \ L(x,y,z). [back_rewrite(1246313),rewrite([2281009(6),51(5)]),flip(a)]. 2282905 L(x,y,z) \ (R(x,u,w) \ L(x,y,z)) = R(x,u,w) \ 1. [hyper(7088,a,2282022,a,b,268782,a),rewrite([215709(6),2138145(6),6174(5),19564(4),2282022(9)]),flip(a)]. 2283243 L(x \ L(x,y,z),u,w) * (R(x,u,w) \ L(x,v5,v6)) = L(x,v5,v6) * L(R(x,u,w) \ 1,y,z). [para(2282022(a,2),307607(a,1,2)),rewrite([304458(4),2282022(8),2282905(13)])]. 2283639 L(x,y,L(L(z,u,w),v5,v6)) \ L(x,y,z) = a(x,v5,a(z,y,v6)) * a(w,u,a(z,y,x)). [hyper(5081,a,457478,a(flip),b,2283243,a),rewrite([381213(4),1079251(6),48(6),1129867(6),310397(7),304101(11),1129972(10),1192434(9),1854945(8),394194(8),1087056(8),1087056(7),974609(8),381213(10),381213(15),1079251(17),48(17),1131526(17),395248(14),1110989(13),91483(10),1079275(12),1129014(12),1020762(11)])]. 2303529 (a(x,y,z) * u) * (R(u,w,v5) \ 1) = u * ((R(u,w,v5) \ 1) * a(x,y,z)). [para(298396(a,1),1084640(a,1,2)),rewrite([26414(4),209136(2),1086088(3),1187949(5)]),flip(a)]. 2303914 a(x,y,L(z,u,w)) * (R(z,u,w) \ z) = R(a(x,y,z) \ z,u,w) \ z. [back_rewrite(1246389),rewrite([2303529(7),996539(6),1273420(5)]),flip(a)]. 2304409 x \ L(L(x,y,L(z,u,w)),y,L(z,v5,v6)) = x \ L(L(x,y,z),y,L(L(z,u,w),v5,v6)). [para(2303914(a,2),1127305(a,1,2)),rewrite([1196868(4),1191938(4),1084615(3),1196868(8),1191938(8),1084615(7),6706(8),1082077(8),1082077(7),1782183(9),1087056(5),974609(6),1084615(7),1086619(9),1196556(9),6706(6),1196868(6),1855060(6),1212559(5),1874898(4),1855060(7),1212559(6),1875715(5),1196868(9),1191938(9),1084615(8),1954648(12)]),flip(a)]. 2304626 a(x,y,L(L(z,u,w),v5,v6)) \ (a(x,y,z) \ 1) = z \ L(L(z,y,x),y,L(L(x,u,w),v5,v6)). [back_rewrite(1954648),rewrite([2304409(12)])]. 2305537 a(x,y,z) \ (a(x,y,L(L(z,u,w),v5,v6)) \ v7) = (z \ L(L(z,y,x),y,L(L(x,u,w),v5,v6))) * v7. [para(283370(a,2),1081476(a,2,1)),rewrite([6706(3),398795(4),63(5),398795(4),681530(6),1087056(2),1087056(3),983274(4),983274(3),1199434(2),454288(3),6706(4),398795(5),63(6),398795(5),1081548(7),398795(13),63(14),398795(13),1081802(15),2304626(13)])]. 2325608 a(x,y,z) * ((z \ L(L(z,y,x),y,L(L(x,u,w),v5,v6))) * v7) = a(x,y,L(L(z,u,w),v5,v6)) \ v7. [para(149084(a,2),397635(a,1,2,1)),rewrite([149084(8),1087056(4),1087056(5),1191832(6),1196576(7),1196868(4),7735(7),16924(8),626380(5),400742(5),1076543(4),1082368(5),400742(6),1082159(5),1076543(4),1081802(6),1087056(7),1087056(8),413070(11),2305537(11)]),flip(a)]. 2329650 L(x,y,z * L(L(z,u,w),v5,v6)) \ 1 = L(x \ 1,y,z * L(L(z,v5,v6),u,w)). [para(1960957(a,2),1059281(a,2,2)),rewrite([1190012(3),1087056(5),1196868(6),1083625(6),1082366(5),1087056(4),1059281(6),1191832(5),1006451(6),1313669(6),2249520(5),2242919(5),1104084(11),5754(10),49(10),1190012(15),1348307(16),5754(15),1191943(16),1085709(14),1076774(15),27438(15),1087056(8),26458(14),32036(13),293938(13),1082368(13),1191740(11),1006451(12),1313669(12),2249520(11),2242897(11),1916395(12)])]. 2329872 (x \ L(L(a(x,y,z) \ 1,u,w),v5,v6)) * a(x,y,z) = L(x \ 1,y,z * L(L(z,u,w),v5,v6)). [back_rewrite(2242921),rewrite([2329650(14)])]. 2332753 a(x,y,a(z,u,w)) * (v5 * a(x,y,a(v6,v7,w))) = a(x,y,w) * (a(x,y,L(L(w,v7,v6),u,z)) \ v5). [hyper(5081,a,397180,a(flip),b,350960,a),rewrite([1081890(7),304101(15),5754(12),26458(14),5784(13),1087056(10),1191706(11),7735(10),7735(9),1196987(11),400789(10),1191706(9),7735(8),9542(10),547(4),1104084(17),5754(16),49(16),95634(17),1087056(14),1348307(15),5754(14),1085709(14),7726(17),26653(16),7726(15),1104084(22),5754(21),49(21),27446(22),1087056(20),49458(23),1087056(12),81422(22),335(17),324(19),400179(19),248470(20),6706(10),32244(19),547(14),1810011(16),66975(17),6706(11),397122(16),2305537(14),2325608(15)])]. 2332939 (a(x,y,a(z,u,w)) / v5) \ a(z,u,a(v6,v7,w)) = a(z,u,w) * (a(z,u,L(L(w,y,x),v7,v6)) \ v5). [back_rewrite(1193900),rewrite([2332753(12)])]. 2333117 L(L(x,y,z * L(L(z,u,w),v5,v6)),y,z * L(L(z,v5,v6),u,w)) = x. [hyper(5142,a,1879538,a,b,350553,a),rewrite([974622(9),975147(8),1855163(8),1876158(7),1192056(7),975353(10),975147(10),1855163(10),1876158(9),1129867(10),1307732(13),2283639(12),69927(13),1313669(11),2249520(10),17628(11),2249794(8),426134(6),2332939(6),2242866(6),17022(9),17060(7),1854944(3),2242592(8),995902(8)])]. 2336999 a(x,y,a(z,u,w)) * a(x,y,a(v5,v6,w)) = x \ L(x,y,w * L(L(w,v6,v5),u,z)). [hyper(5081,a,1223139,a,b,1005275,a),rewrite([1087056(3),1087056(4),1082637(4),6706(3),1196868(7),1191938(7),1087056(6),400742(7),1191832(6),48(7),1076543(9),2329872(13),69933(12)])]. 2337264 L(a(x,y,z) * a(x,u,w),x,x) = a(x,u,w) * a(x,y,z). [para(339095(a,1),1005275(a,1,2,1)),rewrite([12554(7),46610(7),1002286(6),22934(7),12554(7),46610(7)])]. 2337726 x \ L(x,y,z * L(L(z,u,w),w,u)) = a(w,a(x,y,z),u). [back_rewrite(1203797),rewrite([2336999(5)])]. 2337727 a(x,y,a(z,u,w)) * a(v5,v6,a(z,u,w)) = z \ L(z,u,w * L(L(w,y,x),v6,v5)). [back_rewrite(1192150),rewrite([2336999(10)])]. 2338257 a(x * L(L(x,y,z),u,w),v5,v6) \ v7 = a(x * L(L(x,y,z),u,w),v5,v6) * v7. [para(2337264(a,1),2257922(a,1,1,2,1,3)),rewrite([1914998(4),1914998(8),2333117(8),323(1),1917489(5),48(7),1917250(10),1918790(10),987071(9)]),flip(a)]. 2338329 x \ L(x,y,z * L(L(z,u,w),v5,v6)) = a(z * L(L(z,u,w),v5,v6),y,x). [hyper(5081,a,763274,a,b,2337727,a),rewrite([977002(7),1297130(5),987467(15),396643(14),13654(9),1193107(14),628106(12),2245103(12),1193107(11),1190012(9),47(10),36(9),2338257(6),49(6),2337727(9)]),flip(a)]. 2339052 a(x * L(L(x,y,z),z,y),u,w) = a(z,a(w,u,x),y). [back_rewrite(2337726),rewrite([2338329(5)])]. 2365447 a(x,y,a(z,u,w)) * (v5 * a(w,v6,a(v7,v8,v9))) = w * (L(L(w,v6,a(v7,v8,v9)),y,a(z,u,x)) \ v5). [hyper(5083,a,783763,a(flip),b,1859166,a),rewrite([354832(6),1871027(6),1945924(6),1079373(12),1087056(11),454288(11)]),flip(a)]. 2446310 x \ ((y \ ((y * x) * z)) / z) = a(y,x,z). [hyper(5083,a,44289,a,b,632593,a(flip)),rewrite([9760(4),9760(11),634247(14),542989(13),168(8),1017107(11),905536(12),38428(10),2921(10),1046998(10),13983(8)])]. 2447867 a(x,a(y,z,u),w) = a(x,u,a(y,z,w)). [para(2446310(a,1),70583(a,1,1)),rewrite([70585(4),1190012(3),784550(3),96321(12),1204159(12),1099566(10),2339052(6)]),flip(a)]. 2447960 L(x,a(y,z,u),w) = L(x,z,a(w,u,y)). [para(2446310(a,2),1229329(a,1,2,2)),rewrite([2446310(5),2447867(2),1854945(3)]),flip(a)]. 2448233 a(c5,c3,a(c2,c4,c1)) != 1. [para(2446310(a,2),1856506(a,1)),rewrite([6706(16),1581247(16),1873914(16),2447960(14),2240415(14),995902(13),2338329(14),2339052(12),2447867(7)])]. 2448274 a(x,y,a(z,u,w)) = 1. [para(1895869(a,1),2446310(a,1,2,1,2,1)),rewrite([2447867(2),2447867(4),7729(6),16927(7),1196868(4),7735(4),7735(7),7735(6),243810(8),1350331(5),7732(4),50(5),7735(6),2365447(6),2242577(4),1914998(4),2256700(6),2339052(4),2447867(2),58(4),547(3),2447867(4),1190012(5),47(5)])]. 2448275 $F. [resolve(2448274,a,2448233,a)]. ============================== end of proof ==========================