%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : ALG400-1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 16:52:41 EDT 2022 % Result : Unsatisfiable 5.75s 1.15s % Output : CNFRefutation 5.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : ALG400-1 : TPTP v8.1.0. Released v4.1.0. % 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.12/0.33 % Computer : n018.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 9 02:16:07 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.43 # No SInE strategy applied % 0.19/0.43 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.19/0.43 # and selection function SelectComplexExceptUniqMaxHorn. % 0.19/0.43 # % 0.19/0.43 # Presaturation interreduction done % 0.19/0.43 # Number of axioms: 604 Number of unprocessed: 444 % 0.19/0.43 # Tableaux proof search. % 0.19/0.43 # APR header successfully linked. % 0.19/0.43 # Hello from C++ % 0.19/0.44 # The folding up rule is enabled... % 0.19/0.44 # Local unification is enabled... % 0.19/0.44 # Any saturation attempts will use folding labels... % 0.19/0.44 # 444 beginning clauses after preprocessing and clausification % 0.19/0.44 # Creating start rules for all 2 conjectures. % 0.19/0.44 # There are 2 start rule candidates: % 0.19/0.44 # Found 113 unit axioms. % 0.19/0.44 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.19/0.44 # 2 start rule tableaux created. % 0.19/0.44 # 331 extension rule candidate clauses % 0.19/0.44 # 113 unit axiom clauses % 0.19/0.44 % 0.19/0.44 # Requested 8, 32 cores available to the main process. % 0.19/0.44 # There are not enough tableaux to fork, creating more from the initial 2 % 0.19/0.44 # Returning from population with 41 new_tableaux and 0 remaining starting tableaux. % 0.19/0.44 # We now have 41 tableaux to operate on % 5.75/1.15 # There were 4 total branch saturation attempts. % 5.75/1.15 # There were 0 of these attempts blocked. % 5.75/1.15 # There were 0 deferred branch saturation attempts. % 5.75/1.15 # There were 0 free duplicated saturations. % 5.75/1.15 # There were 4 total successful branch saturations. % 5.75/1.15 # There were 0 successful branch saturations in interreduction. % 5.75/1.15 # There were 0 successful branch saturations on the branch. % 5.75/1.15 # There were 4 successful branch saturations after the branch. % 5.75/1.15 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.75/1.15 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.75/1.15 # Begin clausification derivation % 5.75/1.15 % 5.75/1.15 # End clausification derivation % 5.75/1.15 # Begin listing active clauses obtained from FOF to CNF conversion % 5.75/1.15 cnf(i_0_1156, plain, (class_Ring__and__Field_Ofield(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1178, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1139, plain, (class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1167, plain, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1162, plain, (class_Int_Onumber(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1181, plain, (class_Int_Onumber(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1158, plain, (class_Orderings_Olinorder(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1160, plain, (class_Int_Oring__char__0(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1179, plain, (class_Int_Oring__char__0(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1161, plain, (class_Int_Onumber__ring(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1180, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1128, plain, (class_Int_Onumber(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1147, plain, (class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1101, plain, (class_Int_Onumber(tc_nat))). % 5.75/1.15 cnf(i_0_1124, plain, (class_Orderings_Olinorder(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1099, plain, (class_Orderings_Olinorder(tc_nat))). % 5.75/1.15 cnf(i_0_1126, plain, (class_Int_Oring__char__0(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1133, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1131, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1142, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1169, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1141, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1127, plain, (class_Int_Onumber__ring(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1168, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1106, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1104, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1083, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat))). % 5.75/1.15 cnf(i_0_1112, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1145, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1172, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1155, plain, (class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1177, plain, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1151, plain, (class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1089, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_nat))). % 5.75/1.15 cnf(i_0_1157, plain, (class_Orderings_Opreorder(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1122, plain, (class_Divides_Osemiring__div(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1097, plain, (class_Divides_Osemiring__div(tc_nat))). % 5.75/1.15 cnf(i_0_1111, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1088, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))). % 5.75/1.15 cnf(i_0_1159, plain, (class_Orderings_Oorder(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1129, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1140, plain, (class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1148, plain, (class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1173, plain, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1114, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1134, plain, (class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1091, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat))). % 5.75/1.15 cnf(i_0_1121, plain, (class_OrderedGroup_Omonoid__mult(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1096, plain, (class_OrderedGroup_Omonoid__mult(tc_nat))). % 5.75/1.15 cnf(i_0_1117, plain, (class_Ring__and__Field_Oordered__idom(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1164, plain, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1137, plain, (class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1138, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1166, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1132, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1123, plain, (class_Orderings_Opreorder(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1163, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1098, plain, (class_Orderings_Opreorder(tc_nat))). % 5.75/1.15 cnf(i_0_1125, plain, (class_Orderings_Oorder(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1100, plain, (class_Orderings_Oorder(tc_nat))). % 5.75/1.15 cnf(i_0_1102, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1143, plain, (class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1170, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1153, plain, (class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1176, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1152, plain, (class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1081, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat))). % 5.75/1.15 cnf(i_0_1154, plain, (class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1110, plain, (class_Ring__and__Field_Oordered__semidom(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1087, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))). % 5.75/1.15 cnf(i_0_1108, plain, (class_Ring__and__Field_Oordered__semiring(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1085, plain, (class_Ring__and__Field_Oordered__semiring(tc_nat))). % 5.75/1.15 cnf(i_0_1146, plain, (class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1130, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1144, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1171, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1135, plain, (class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1109, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1150, plain, (class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1086, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))). % 5.75/1.15 cnf(i_0_1105, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1119, plain, (class_Ring__and__Field_Omult__zero(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1094, plain, (class_Ring__and__Field_Omult__zero(tc_nat))). % 5.75/1.15 cnf(i_0_1175, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1136, plain, (class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1165, plain, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1149, plain, (class_RealVector_Oreal__normed__field(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1174, plain, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1118, plain, (class_Ring__and__Field_Omult__mono1(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1077, plain, (class_Ring__and__Field_Oidom(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1093, plain, (class_Ring__and__Field_Omult__mono1(tc_nat))). % 5.75/1.15 cnf(i_0_1120, plain, (class_Ring__and__Field_Omult__mono(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1095, plain, (class_Ring__and__Field_Omult__mono(tc_nat))). % 5.75/1.15 cnf(i_0_1115, plain, (class_Ring__and__Field_Opordered__ring(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1075, plain, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1078, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1076, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_978, plain, (c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1103, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1082, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_nat))). % 5.75/1.15 cnf(i_0_1113, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1090, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))). % 5.75/1.15 cnf(i_0_1107, plain, (class_Ring__and__Field_Opordered__semiring(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1084, plain, (class_Ring__and__Field_Opordered__semiring(tc_nat))). % 5.75/1.15 cnf(i_0_1116, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1092, plain, (class_Ring__and__Field_Ozero__neq__one(tc_nat))). % 5.75/1.15 cnf(i_0_1079, plain, (class_Ring__and__Field_Oidom(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_1080, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint))). % 5.75/1.15 cnf(i_0_976, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v_q____,tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_977, plain, (c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_q____,X1,tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_824, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1019, plain, (c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))). % 5.75/1.15 cnf(i_0_1001, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1012, plain, (c_HOL_Oone__class_Oone(X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1))). % 5.75/1.15 cnf(i_0_1071, negated_conjecture, (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1208, plain, (class_Int_Onumber(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1))). % 5.75/1.15 cnf(i_0_1204, plain, (class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1003, plain, (~c_HOL_Oord__class_Oless(X1,X1,X2)|~class_Orderings_Olinorder(X2))). % 5.75/1.15 cnf(i_0_1000, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 5.75/1.15 cnf(i_0_1002, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))). % 5.75/1.15 cnf(i_0_1206, plain, (class_Int_Oring__char__0(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1207, plain, (class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1))). % 5.75/1.15 cnf(i_0_1072, negated_conjecture, (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))). % 5.75/1.15 cnf(i_0_1013, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra__1(X1))). % 5.75/1.15 cnf(i_0_1004, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_1186, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1184, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1192, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))). % 5.75/1.15 cnf(i_0_1202, plain, (class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1))). % 5.75/1.15 cnf(i_0_1191, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 5.75/1.15 cnf(i_0_1194, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 5.75/1.15 cnf(i_0_1201, plain, (class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 5.75/1.15 cnf(i_0_1032, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_1197, plain, (class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1203, plain, (class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1205, plain, (class_Orderings_Oorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1182, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1190, plain, (class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1188, plain, (class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1189, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))). % 5.75/1.15 cnf(i_0_1185, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))). % 5.75/1.15 cnf(i_0_1199, plain, (class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))). % 5.75/1.15 cnf(i_0_1198, plain, (class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1200, plain, (class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1195, plain, (class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1183, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1193, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))). % 5.75/1.15 cnf(i_0_1187, plain, (class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))). % 5.75/1.15 cnf(i_0_1196, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 5.75/1.15 cnf(i_0_1073, plain, (class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))). % 5.75/1.15 cnf(i_0_1074, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1))). % 5.75/1.15 cnf(i_0_782, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_731, plain, (~c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 5.75/1.15 cnf(i_0_1016, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_994, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1))). % 5.75/1.15 cnf(i_0_991, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 5.75/1.15 cnf(i_0_993, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))). % 5.75/1.15 cnf(i_0_1021, plain, (c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 5.75/1.15 cnf(i_0_735, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_lessequals(X3,X2,X1))). % 5.75/1.15 cnf(i_0_964, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))). % 5.75/1.15 cnf(i_0_996, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))). % 5.75/1.15 cnf(i_0_1057, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1))). % 5.75/1.15 cnf(i_0_1060, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1))). % 5.75/1.15 cnf(i_0_965, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))). % 5.75/1.15 cnf(i_0_717, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Divides_Osemiring__div(X2))). % 5.75/1.15 cnf(i_0_980, plain, (~c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 5.75/1.15 cnf(i_0_981, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 5.75/1.15 cnf(i_0_979, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))). % 5.75/1.15 cnf(i_0_934, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))). % 5.75/1.15 cnf(i_0_1049, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oinverse__class_Oinverse(X2,X1)|~class_Ring__and__Field_Ofield(X1))). % 5.75/1.15 cnf(i_0_688, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_783, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))). % 5.75/1.15 cnf(i_0_1061, plain, (X1=c_HOL_Oone__class_Oone(X2)|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_1014, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 5.75/1.15 cnf(i_0_719, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 5.75/1.15 cnf(i_0_876, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))). % 5.75/1.15 cnf(i_0_875, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))). % 5.75/1.15 cnf(i_0_918, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))). % 5.75/1.15 cnf(i_0_723, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2)=X1|~class_OrderedGroup_Omonoid__mult(X2))). % 5.75/1.15 cnf(i_0_718, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 5.75/1.15 cnf(i_0_721, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1))). % 5.75/1.15 cnf(i_0_722, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__mult(X1))). % 5.75/1.15 cnf(i_0_1051, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|~class_Ring__and__Field_Odivision__ring(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_901, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2))). % 5.75/1.15 cnf(i_0_613, plain, (X1=X2|c_Int_Onumber__class_Onumber__of(X1,X3)!=c_Int_Onumber__class_Onumber__of(X2,X3)|~class_Int_Onumber__ring(X3)|~class_Int_Oring__char__0(X3))). % 5.75/1.15 cnf(i_0_1035, plain, (X1=X2|c_HOL_Oinverse__class_Oinverse(X1,X3)!=c_HOL_Oinverse__class_Oinverse(X2,X3)|~class_Ring__and__Field_Odivision__ring(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_740, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3))). % 5.75/1.15 cnf(i_0_910, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))). % 5.75/1.15 cnf(i_0_904, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__algebra(X2))). % 5.75/1.15 cnf(i_0_908, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Omult__zero(X2))). % 5.75/1.15 cnf(i_0_896, plain, (c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))). % 5.75/1.15 cnf(i_0_1034, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=X3|c_HOL_Oinverse__class_Oinverse(X1,X2)!=c_HOL_Oinverse__class_Oinverse(X3,X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 5.75/1.15 cnf(i_0_900, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1))). % 5.75/1.15 cnf(i_0_736, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))). % 5.75/1.15 cnf(i_0_909, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__no__zero__divisors(X1))). % 5.75/1.15 cnf(i_0_902, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__algebra(X1))). % 5.75/1.15 cnf(i_0_907, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Omult__zero(X1))). % 5.75/1.15 cnf(i_0_1054, plain, (c_HOL_Oinverse__class_Odivide(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_895, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). % 5.75/1.15 cnf(i_0_729, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 5.75/1.15 cnf(i_0_983, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_822, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__div__algebra(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_1031, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X1|c_HOL_Oinverse__class_Odivide(X3,X1,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_784, plain, (c_Divides_Odiv__class_Odiv(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))). % 5.75/1.15 cnf(i_0_1062, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 5.75/1.15 cnf(i_0_997, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))). % 5.75/1.15 cnf(i_0_1020, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_821, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X2,X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_817, plain, (c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oone__class_Oone(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_816, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_999, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_813, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_969, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__div__algebra(X2))). % 5.75/1.15 cnf(i_0_1064, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_1042, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_897, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))). % 5.75/1.15 cnf(i_0_864, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 5.75/1.15 cnf(i_0_866, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_974, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_922, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X1,X6)|~c_Polynomial_Opdivmod__rel(X3,X4,X7,X2,X6)|~class_Ring__and__Field_Ofield(X6))). % 5.75/1.15 cnf(i_0_921, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X2,X5,X6)|~c_Polynomial_Opdivmod__rel(X3,X4,X1,X7,X6)|~class_Ring__and__Field_Ofield(X6))). % 5.75/1.15 cnf(i_0_938, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))). % 5.75/1.15 cnf(i_0_899, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__no__zero__divisors(X2))). % 5.75/1.15 cnf(i_0_1041, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 5.75/1.15 cnf(i_0_1011, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2))). % 5.75/1.15 cnf(i_0_865, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2)=c_HOL_Oone__class_Oone(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 5.75/1.15 cnf(i_0_911, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 5.75/1.15 cnf(i_0_968, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 5.75/1.15 cnf(i_0_966, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))). % 5.75/1.15 cnf(i_0_967, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))). % 5.75/1.15 cnf(i_0_878, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(X4,X2,X3))). % 5.75/1.15 cnf(i_0_984, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_1006, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_990, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_819, plain, (c_HOL_Oinverse__class_Oinverse(X1,X2)=X3|c_HOL_Otimes__class_Otimes(X1,X3,X2)!=c_HOL_Oone__class_Oone(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 5.75/1.15 cnf(i_0_800, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_877, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_lessequals(X1,X4,X3))). % 5.75/1.15 cnf(i_0_1053, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 5.75/1.15 cnf(i_0_879, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(X4,X2,X3))). % 5.75/1.15 cnf(i_0_880, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_lessequals(X1,X4,X3))). % 5.75/1.15 cnf(i_0_973, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_1008, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))). % 5.75/1.15 cnf(i_0_1010, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 5.75/1.15 cnf(i_0_1040, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_1044, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))). % 5.75/1.15 cnf(i_0_914, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))). % 5.75/1.15 cnf(i_0_1052, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 5.75/1.15 cnf(i_0_861, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3))). % 5.75/1.15 cnf(i_0_863, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3))). % 5.75/1.15 cnf(i_0_874, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X2,X3))). % 5.75/1.15 cnf(i_0_913, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)=X2|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))). % 5.75/1.15 cnf(i_0_989, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_1005, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_793, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Ofield(X1))). % 5.75/1.15 cnf(i_0_857, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_859, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_881, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3))). % 5.75/1.15 cnf(i_0_781, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))). % 5.75/1.15 cnf(i_0_812, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_815, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_867, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_818, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_1043, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))). % 5.75/1.15 cnf(i_0_883, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))). % 5.75/1.15 cnf(i_0_779, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 5.75/1.15 cnf(i_0_608, plain, (c_Int_Onumber__class_Onumber__of(X1,X2)=c_HOL_Ozero__class_Ozero(X2)|c_Int_Onumber__class_Onumber__of(X1,X2)!=c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Int_Onumber(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_711, plain, (c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X4),X4)=c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)|~class_Ring__and__Field_Ocomm__semiring__0(X4))). % 5.75/1.15 cnf(i_0_995, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_1007, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))). % 5.75/1.15 cnf(i_0_1009, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))). % 5.75/1.15 cnf(i_0_681, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))). % 5.75/1.15 cnf(i_0_609, plain, (c_Int_Onumber__class_Onumber__of(X1,X2)=c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)|c_Int_Onumber__class_Onumber__of(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Int_Onumber(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_823, plain, (c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__0(X3))). % 5.75/1.15 cnf(i_0_963, plain, (c_Divides_Odiv__class_Odiv(X1,X2,tc_Polynomial_Opoly(X3))=X4|~c_Polynomial_Opdivmod__rel(X1,X2,X4,X5,X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_682, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))). % 5.75/1.15 cnf(i_0_885, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))). % 5.75/1.15 cnf(i_0_886, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))). % 5.75/1.15 cnf(i_0_1025, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_1024, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 5.75/1.15 cnf(i_0_987, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 5.75/1.15 cnf(i_0_988, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 5.75/1.15 cnf(i_0_792, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X2,X3)=X1|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_890, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 5.75/1.15 cnf(i_0_891, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 5.75/1.15 cnf(i_0_888, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 5.75/1.15 cnf(i_0_889, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3))). % 5.75/1.15 cnf(i_0_975, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_1066, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_1038, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_610, plain, (c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3)=c_HOL_Ozero__class_Ozero(X3)|c_Int_Onumber__class_Onumber__of(X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Int_Onumber(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_923, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(X1,X2,X3)|~class_OrderedGroup_Oab__semigroup__idem__mult(X3))). % 5.75/1.15 cnf(i_0_872, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3))). % 5.75/1.15 cnf(i_0_873, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3))). % 5.75/1.15 cnf(i_0_695, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_924, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))). % 5.75/1.15 cnf(i_0_1037, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_1036, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_1039, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_1065, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_714, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_850, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_697, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_848, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_700, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4))). % 5.75/1.15 cnf(i_0_715, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_1068, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_1067, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_858, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_856, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_622, plain, (X1=c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3)|X4=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Oinverse__class_Odivide(X1,X4,X3)!=c_Int_Onumber__class_Onumber__of(X2,X3)|~class_Int_Onumber(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_945, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 5.75/1.15 cnf(i_0_845, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4))). % 5.75/1.15 cnf(i_0_699, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))). % 5.75/1.15 cnf(i_0_846, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 5.75/1.15 cnf(i_0_692, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2))). % 5.75/1.15 cnf(i_0_690, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(X3,X4,X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2))). % 5.75/1.15 cnf(i_0_689, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))). % 5.75/1.15 cnf(i_0_691, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,X4,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))). % 5.75/1.15 cnf(i_0_860, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(X3,X1,X2))). % 5.75/1.15 cnf(i_0_942, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__mult(X3))). % 5.75/1.15 cnf(i_0_972, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_862, plain, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(X3,X1,X2))). % 5.75/1.15 cnf(i_0_836, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_837, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 5.75/1.15 cnf(i_0_712, plain, (c_Divides_Odiv__class_Odiv(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))=c_Polynomial_Osmult(X1,c_Divides_Odiv__class_Odiv(X2,X4,tc_Polynomial_Opoly(X3)),X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_868, plain, (c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_927, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))). % 5.75/1.15 cnf(i_0_949, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))). % 5.75/1.15 cnf(i_0_950, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))). % 5.75/1.15 cnf(i_0_843, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3))). % 5.75/1.15 cnf(i_0_844, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 5.75/1.15 cnf(i_0_679, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_680, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 5.75/1.15 cnf(i_0_785, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1))). % 5.75/1.15 cnf(i_0_814, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)=c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Odivision__ring(X2))). % 5.75/1.15 cnf(i_0_684, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 5.75/1.15 cnf(i_0_951, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1))). % 5.75/1.15 cnf(i_0_948, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1))). % 5.75/1.15 cnf(i_0_928, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_925, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_683, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 5.75/1.15 cnf(i_0_1017, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3))). % 5.75/1.15 cnf(i_0_1018, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 5.75/1.15 cnf(i_0_955, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_Divides_Odiv__class_Odiv(X1,X4,X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))). % 5.75/1.15 cnf(i_0_926, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_954, plain, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_Divides_Odiv__class_Odiv(X2,X4,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Divides_Osemiring__div(X3))). % 5.75/1.15 cnf(i_0_687, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1))). % 5.75/1.15 cnf(i_0_686, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1))). % 5.75/1.15 cnf(i_0_795, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_808, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_946, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))). % 5.75/1.15 cnf(i_0_807, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_806, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_809, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_794, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_943, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 5.75/1.15 cnf(i_0_797, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_796, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_789, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_790, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_810, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(X1,X4,X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_940, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_936, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))). % 5.75/1.15 cnf(i_0_939, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 5.75/1.15 cnf(i_0_811, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oinverse__class_Odivide(X2,X4,X3)|X1=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_805, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_804, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_1027, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_1029, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_935, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 5.75/1.15 cnf(i_0_941, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))). % 5.75/1.15 cnf(i_0_956, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 5.75/1.15 cnf(i_0_957, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 5.75/1.15 cnf(i_0_958, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Opordered__cancel__semiring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 5.75/1.15 cnf(i_0_959, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Opordered__cancel__semiring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 5.75/1.15 cnf(i_0_1026, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_629, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2)=c_Int_Onumber__class_Onumber__of(X1,X2)|c_Int_Onumber__class_Onumber__of(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Int_Onumber(X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_770, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3))). % 5.75/1.15 cnf(i_0_882, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X2,X3))). % 5.75/1.15 cnf(i_0_774, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))). % 5.75/1.15 cnf(i_0_1028, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_771, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 5.75/1.15 cnf(i_0_775, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 5.75/1.15 cnf(i_0_970, plain, (c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(X1,X2),c_Divides_Odiv__class_Odiv(X3,X4,tc_Polynomial_Opoly(X2)),X2)=c_Divides_Odiv__class_Odiv(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_884, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))). % 5.75/1.15 cnf(i_0_726, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(X1,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 5.75/1.15 cnf(i_0_727, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 5.75/1.15 cnf(i_0_933, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3))). % 5.75/1.15 cnf(i_0_772, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))). % 5.75/1.15 cnf(i_0_853, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_855, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_831, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_835, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_776, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 5.75/1.15 cnf(i_0_932, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Opordered__ring(X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X2,X3))). % 5.75/1.15 cnf(i_0_931, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Omult__mono(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3))). % 5.75/1.15 cnf(i_0_929, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Omult__mono1(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))). % 5.75/1.15 cnf(i_0_930, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Omult__mono(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X4,X3))). % 5.75/1.15 cnf(i_0_769, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__comm__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 5.75/1.15 cnf(i_0_828, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_832, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_830, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_829, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_716, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_798, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_799, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_834, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_833, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_825, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))). % 5.75/1.15 cnf(i_0_826, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))). % 5.75/1.15 cnf(i_0_852, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_709, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_707, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_854, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_839, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_838, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_841, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_840, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_787, plain, (c_HOL_Oinverse__class_Odivide(X1,X2,X3)=c_HOL_Oinverse__class_Odivide(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Otimes__class_Otimes(X1,X5,X3)!=c_HOL_Otimes__class_Otimes(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_725, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_702, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~class_Ring__and__Field_Odivision__by__zero(X4))). % 5.75/1.15 cnf(i_0_701, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_724, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_713, plain, (c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(X1,X2,X3),X4,c_Polynomial_Osmult(X1,X5,X3),c_Polynomial_Osmult(X1,X6,X3),X3)|~c_Polynomial_Opdivmod__rel(X2,X4,X5,X6,X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_851, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X5,X2,X3)|~c_lessequals(X1,X4,X3))). % 5.75/1.15 cnf(i_0_710, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_708, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),X3,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_842, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X5,X2,X3))). % 5.75/1.15 cnf(i_0_788, plain, (c_HOL_Otimes__class_Otimes(X1,X2,X3)=c_HOL_Otimes__class_Otimes(X4,X5,X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|c_HOL_Oinverse__class_Odivide(X1,X5,X3)!=c_HOL_Oinverse__class_Odivide(X4,X2,X3)|~class_Ring__and__Field_Ofield(X3))). % 5.75/1.15 cnf(i_0_971, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Polynomial_Opdivmod__rel(X3,c_Polynomial_Osmult(X1,X4,X2),c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(X1,X2),X5,X2),X6,X2)|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X6,X2)|~class_Ring__and__Field_Ofield(X2))). % 5.75/1.15 cnf(i_0_706, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_704, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X4,X2)|~class_Ring__and__Field_Odivision__by__zero(X2))). % 5.75/1.15 cnf(i_0_705, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X4,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_703, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))). % 5.75/1.15 cnf(i_0_693, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X4,X2,X3))). % 5.75/1.15 cnf(i_0_827, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X5,X2,X3)|~c_lessequals(X1,X4,X3))). % 5.75/1.15 cnf(i_0_915, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))). % 5.75/1.15 cnf(i_0_952, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Opordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))). % 5.75/1.15 cnf(i_0_953, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Opordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))). % 5.75/1.15 cnf(i_0_694, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X2,X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))). % 5.75/1.15 cnf(i_0_887, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3))). % 5.75/1.15 cnf(i_0_894, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3))). % 5.75/1.15 cnf(i_0_893, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3))). % 5.75/1.15 cnf(i_0_892, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3))). % 5.75/1.15 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 5.75/1.15 # Begin printing tableau % 5.75/1.15 # Found 10 steps % 5.75/1.15 cnf(i_0_1072, negated_conjecture, (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(start_rule)). % 5.75/1.15 cnf(i_0_1209, plain, (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(extension_rule, [i_0_887])). % 5.75/1.15 cnf(i_0_2441, plain, (~class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)), inference(closure_rule, [i_0_1131])). % 5.75/1.15 cnf(i_0_2444, plain, (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(closure_rule, [i_0_1209])). % 5.75/1.15 cnf(i_0_2440, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(extension_rule, [i_0_731])). % 5.75/1.15 cnf(i_0_2544, plain, (~class_Orderings_Olinorder(tc_RealDef_Oreal)), inference(closure_rule, [i_0_1158])). % 5.75/1.15 cnf(i_0_1210, plain, (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(etableau_closure_rule, [i_0_1210, ...])). % 5.75/1.15 cnf(i_0_2442, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(etableau_closure_rule, [i_0_2442, ...])). % 5.75/1.15 cnf(i_0_2445, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)), inference(etableau_closure_rule, [i_0_2445, ...])). % 5.75/1.15 cnf(i_0_2543, plain, (~c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(etableau_closure_rule, [i_0_2543, ...])). % 5.75/1.15 # End printing tableau % 5.75/1.15 # SZS output end % 5.75/1.15 # Branches closed with saturation will be marked with an "s" % 5.75/1.15 # Child (4317) has found a proof. % 5.75/1.15 % 5.75/1.15 # Proof search is over... % 5.75/1.15 # Freeing feature tree %------------------------------------------------------------------------------