TSTP Solution File: ALG384-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : ALG384-1 : 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 : n029.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 16:52:38 EDT 2022
% Result : Unsatisfiable 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG384-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % 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 : n029.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 : Wed Jun 8 12:08:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # No SInE strategy applied
% 0.18/0.43 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.18/0.43 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.18/0.43 #
% 0.18/0.43 # Presaturation interreduction done
% 0.18/0.43 # Number of axioms: 574 Number of unprocessed: 507
% 0.18/0.43 # Tableaux proof search.
% 0.18/0.43 # APR header successfully linked.
% 0.18/0.43 # Hello from C++
% 0.18/0.44 # The folding up rule is enabled...
% 0.18/0.44 # Local unification is enabled...
% 0.18/0.44 # Any saturation attempts will use folding labels...
% 0.18/0.44 # 507 beginning clauses after preprocessing and clausification
% 0.18/0.44 # Creating start rules for all 1 conjectures.
% 0.18/0.44 # There are 1 start rule candidates:
% 0.18/0.44 # Found 107 unit axioms.
% 0.18/0.44 # 1 start rule tableaux created.
% 0.18/0.44 # 400 extension rule candidate clauses
% 0.18/0.44 # 107 unit axiom clauses
% 0.18/0.44
% 0.18/0.44 # Requested 8, 32 cores available to the main process.
% 0.18/0.44 # There are not enough tableaux to fork, creating more from the initial 1
% 0.18/0.44 # Closed tableau found in foldup close cycle with 0 folds and 2 closures done.
% 0.18/0.44 # There were 0 total branch saturation attempts.
% 0.18/0.44 # There were 0 of these attempts blocked.
% 0.18/0.44 # There were 0 deferred branch saturation attempts.
% 0.18/0.44 # There were 0 free duplicated saturations.
% 0.18/0.44 # There were 0 total successful branch saturations.
% 0.18/0.44 # There were 0 successful branch saturations in interreduction.
% 0.18/0.44 # There were 0 successful branch saturations on the branch.
% 0.18/0.44 # There were 0 successful branch saturations after the branch.
% 0.18/0.44 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 # Begin clausification derivation
% 0.18/0.44
% 0.18/0.44 # End clausification derivation
% 0.18/0.44 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.44 cnf(i_0_1119, plain, (class_RealVector_Oreal__vector(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1144, plain, (class_RealVector_Oreal__vector(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1091, plain, (class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1110, plain, (class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1138, plain, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1101, plain, (class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1133, plain, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1112, plain, (class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1120, plain, (class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1106, plain, (class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1137, plain, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1093, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1129, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1115, plain, (class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1082, plain, (class_Ring__and__Field_Omult__zero(tc_nat))).
% 0.18/0.44 cnf(i_0_1141, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1103, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1079, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.18/0.44 cnf(i_0_1134, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1104, plain, (class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1135, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1122, plain, (class_Ring__and__Field_Ofield(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1145, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1100, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1132, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1077, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_nat))).
% 0.18/0.44 cnf(i_0_1111, plain, (class_RealVector_Oreal__normed__field(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1139, plain, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1128, plain, (class_SEQ_Obanach(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1148, plain, (class_SEQ_Obanach(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1090, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1108, plain, (class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1099, plain, (class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1094, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1074, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat))).
% 0.18/0.44 cnf(i_0_1126, plain, (class_Orderings_Oorder(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1076, plain, (class_Ring__and__Field_Oordered__semiring(tc_nat))).
% 0.18/0.44 cnf(i_0_1087, plain, (class_Orderings_Oorder(tc_nat))).
% 0.18/0.44 cnf(i_0_1124, plain, (class_Orderings_Opreorder(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1085, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.18/0.44 cnf(i_0_1114, plain, (class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1140, plain, (class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1102, plain, (class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1118, plain, (class_RealVector_Ometric__space(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1143, plain, (class_RealVector_Ometric__space(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1078, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 0.18/0.44 cnf(i_0_1109, plain, (class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1123, plain, (class_Nat_Osemiring__char__0(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1084, plain, (class_Nat_Osemiring__char__0(tc_nat))).
% 0.18/0.44 cnf(i_0_1146, plain, (class_Nat_Osemiring__char__0(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1097, plain, (class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1113, plain, (class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1116, plain, (class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1107, plain, (class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1125, plain, (class_Orderings_Olinorder(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1121, plain, (class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1081, plain, (class_Ring__and__Field_Omult__mono1(tc_nat))).
% 0.18/0.44 cnf(i_0_1092, plain, (class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1083, plain, (class_Ring__and__Field_Omult__mono(tc_nat))).
% 0.18/0.44 cnf(i_0_1086, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.18/0.44 cnf(i_0_1089, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1073, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_nat))).
% 0.18/0.44 cnf(i_0_1105, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1136, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1096, plain, (class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1117, plain, (class_RealVector_Oreal__algebra(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1142, plain, (class_RealVector_Oreal__algebra(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1080, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 0.18/0.44 cnf(i_0_1098, plain, (class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1075, plain, (class_Ring__and__Field_Opordered__semiring(tc_nat))).
% 0.18/0.44 cnf(i_0_1131, plain, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1095, plain, (class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1130, plain, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1127, plain, (class_Int_Onumber__ring(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1147, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))).
% 0.18/0.44 cnf(i_0_1088, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_797, plain, (c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1072, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat))).
% 0.18/0.44 cnf(i_0_998, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1002, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1027, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1039, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_798, plain, (c_NthRoot_Oroot(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_575, plain, (c_RealVector_Onorm__class_Onorm(X1,tc_RealDef_Oreal)=c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_955, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1006, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1044, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_904, plain, (c_Transcendental_Oln(c_Transcendental_Oexp(X1,tc_RealDef_Oreal))=X1)).
% 0.18/0.44 cnf(i_0_959, plain, (c_lessequals(X1,X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_701, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1018, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_941, plain, (c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Oexp(X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_687, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(X1,tc_nat),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_950, plain, (c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal))=c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_763, plain, (c_HOL_Oabs__class_Oabs(c_RealDef_Oreal(X1,tc_nat),tc_RealDef_Oreal)=c_RealDef_Oreal(X1,tc_nat))).
% 0.18/0.44 cnf(i_0_686, plain, (c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)=c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)))).
% 0.18/0.44 cnf(i_0_881, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_697, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1070, plain, (c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)!=v_c____)).
% 0.18/0.44 cnf(i_0_1071, negated_conjecture, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_796, plain, (c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_Transcendental_Opi)).
% 0.18/0.44 cnf(i_0_1037, plain, (~c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1004, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1055, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1029, plain, (~c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1034, plain, (~c_HOL_Oord__class_Oless(c_RealDef_Oreal(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_694, plain, (~c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1056, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.18/0.44 cnf(i_0_1054, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.18/0.44 cnf(i_0_1057, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.18/0.44 cnf(i_0_1028, plain, (c_NthRoot_Osqrt(X1)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_795, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_NthRoot_Osqrt(X1)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_754, plain, (X1=X2|c_NthRoot_Osqrt(X1)!=c_NthRoot_Osqrt(X2))).
% 0.18/0.44 cnf(i_0_611, plain, (c_Transcendental_Oexp(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_SEQ_Obanach(X2)|~class_RealVector_Oreal__normed__field(X2))).
% 0.18/0.44 cnf(i_0_1067, plain, (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_973, plain, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.18/0.44 cnf(i_0_783, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.18/0.44 cnf(i_0_790, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.18/0.44 cnf(i_0_1035, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1014, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1065, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X1))).
% 0.18/0.44 cnf(i_0_1036, plain, (c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_993, plain, (c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__algebra__1(X1))).
% 0.18/0.44 cnf(i_0_830, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.18/0.44 cnf(i_0_1033, plain, (~class_RealVector_Ometric__space(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X2,X2,X1),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1013, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1009, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1(X1),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1058, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X1))).
% 0.18/0.44 cnf(i_0_1026, plain, (~class_RealVector_Ometric__space(X1)|~c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(X2,X3,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_755, plain, (X1=X2|c_Transcendental_Oexp(X1,tc_RealDef_Oreal)!=c_Transcendental_Oexp(X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_720, plain, (X1=X2|c_RealDef_Oreal(X1,tc_nat)!=c_RealDef_Oreal(X2,tc_nat))).
% 0.18/0.44 cnf(i_0_957, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.18/0.44 cnf(i_0_1000, plain, (c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)=X1|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_805, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal)!=X1)).
% 0.18/0.44 cnf(i_0_683, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_752, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1020, plain, (c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_602, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.18/0.44 cnf(i_0_956, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 0.18/0.44 cnf(i_0_827, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.18/0.44 cnf(i_0_1050, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.18/0.44 cnf(i_0_1052, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.18/0.44 cnf(i_0_1011, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1(X1,X2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_810, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_997, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(X1,c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_596, 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))).
% 0.18/0.44 cnf(i_0_582, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1))).
% 0.18/0.44 cnf(i_0_1051, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.18/0.44 cnf(i_0_840, 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))).
% 0.18/0.44 cnf(i_0_800, plain, (X1=X2|c_RealVector_Odist__class_Odist(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X3))).
% 0.18/0.44 cnf(i_0_1066, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_RealVector_Onorm__class_Onorm(X1,X2)!=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_803, plain, (c_HOL_Oord__class_Oless(X1,c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_814, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_999, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_580, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.18/0.44 cnf(i_0_799, plain, (c_RealVector_Odist__class_Odist(X1,X1,X2)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X2))).
% 0.18/0.44 cnf(i_0_610, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_992, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_RealVector_Oof__real(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__algebra__1(X2))).
% 0.18/0.44 cnf(i_0_577, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oabs__class_Oabs(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.18/0.44 cnf(i_0_578, 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))).
% 0.18/0.44 cnf(i_0_804, plain, (c_Transcendental_Oexp(c_Transcendental_Oln(X1),tc_RealDef_Oreal)=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1022, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_1045, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_1003, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra(X2))).
% 0.18/0.44 cnf(i_0_1005, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__field(X2))).
% 0.18/0.44 cnf(i_0_581, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osgn__if(X1))).
% 0.18/0.44 cnf(i_0_609, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Osgn__class_Osgn(X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_924, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_735, plain, (X1=X2|~c_lessequals(X2,X1,tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_704, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1040, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra(X2))).
% 0.18/0.44 cnf(i_0_1001, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra(X2))).
% 0.18/0.44 cnf(i_0_1046, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_682, plain, (c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_751, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_764, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 0.18/0.44 cnf(i_0_707, plain, (X1=X2|c_RealVector_Oof__real(X1,X3)!=c_RealVector_Oof__real(X2,X3)|~class_RealVector_Oreal__algebra__1(X3))).
% 0.18/0.44 cnf(i_0_712, plain, (X1=X2|c_Nat_Osemiring__1__class_Oof__nat(X1,X3)!=c_Nat_Osemiring__1__class_Oof__nat(X2,X3)|~class_Nat_Osemiring__char__0(X3))).
% 0.18/0.44 cnf(i_0_813, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1048, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X1))).
% 0.18/0.44 cnf(i_0_811, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1049, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_594, 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))).
% 0.18/0.44 cnf(i_0_817, plain, (c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(X1,X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_770, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.18/0.44 cnf(i_0_666, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.18/0.44 cnf(i_0_676, plain, (X1=X2|~class_RealVector_Ometric__space(X3)|~c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_765, plain, (X1=X2|c_HOL_Oinverse__class_Oinverse(X1,X3)!=c_HOL_Oinverse__class_Oinverse(X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Odivision__ring(X3))).
% 0.18/0.44 cnf(i_0_1047, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1),X1)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X1))).
% 0.18/0.44 cnf(i_0_1010, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1030, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1059, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_1021, plain, (c_NthRoot_Oroot(X1,X2)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_699, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)=X1|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Odivision__ring(X2))).
% 0.18/0.44 cnf(i_0_996, plain, (c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__vector(X2))).
% 0.18/0.44 cnf(i_0_736, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 0.18/0.44 cnf(i_0_772, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.18/0.44 cnf(i_0_995, plain, (c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_1038, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X2,X3),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_815, plain, (c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1025, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1(X1,X2),tc_RealDef_Oreal)|~class_RealVector_Oreal__algebra__1(X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_1019, plain, (X1=X2|c_Transcendental_Oln(X1)!=c_Transcendental_Oln(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_929, plain, (c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra__1(X2))).
% 0.18/0.44 cnf(i_0_969, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|c_lessequals(X2,X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_705, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.18/0.44 cnf(i_0_733, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_727, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.18/0.44 cnf(i_0_939, plain, (c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.18/0.44 cnf(i_0_604, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__vector(X2))).
% 0.18/0.44 cnf(i_0_1008, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1(X1,X2,X3),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))).
% 0.18/0.44 cnf(i_0_812, plain, (c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1031, plain, (c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1032, plain, (c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_930, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.18/0.44 cnf(i_0_603, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_923, plain, (c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_775, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.18/0.44 cnf(i_0_583, 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))).
% 0.18/0.44 cnf(i_0_1017, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_585, 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))).
% 0.18/0.44 cnf(i_0_592, 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))).
% 0.18/0.44 cnf(i_0_588, 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))).
% 0.18/0.44 cnf(i_0_893, plain, (c_HOL_Oabs__class_Oabs(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)=c_Nat_Osemiring__1__class_Oof__nat(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_777, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.18/0.44 cnf(i_0_584, 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))).
% 0.18/0.44 cnf(i_0_586, 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))).
% 0.18/0.44 cnf(i_0_587, 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))).
% 0.18/0.44 cnf(i_0_590, 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))).
% 0.18/0.44 cnf(i_0_889, plain, (c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Osgn__class_Osgn(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_605, 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))).
% 0.18/0.44 cnf(i_0_608, 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))).
% 0.18/0.44 cnf(i_0_869, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.18/0.44 cnf(i_0_674, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.18/0.44 cnf(i_0_794, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_793, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=X3|c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)!=c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_762, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X3))).
% 0.18/0.44 cnf(i_0_723, plain, (c_lessequals(c_RealVector_Odist__class_Odist(X1,X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X2))).
% 0.18/0.44 cnf(i_0_598, 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))).
% 0.18/0.44 cnf(i_0_739, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.18/0.44 cnf(i_0_844, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_868, 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),c_HOL_Osgn__class_Osgn(X2,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.18/0.44 cnf(i_0_788, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.18/0.44 cnf(i_0_1043, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1012, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Deriv_Osko__Deriv__Xlemma__interval__1__1(X1,X2,X3),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X3,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X3,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1023, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1(X1,X2,X3),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X3,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X3,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1016, plain, (c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_671, plain, (c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.18/0.44 cnf(i_0_966, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.18/0.44 cnf(i_0_958, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(X3,X2,tc_RealDef_Oreal)|~c_lessequals(X1,X3,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_1024, plain, (X1=X2|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X1,X2,X3),tc_RealDef_Oreal)|~class_RealVector_Ometric__space(X3))).
% 0.18/0.44 cnf(i_0_991, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=c_HOL_Ozero__class_Ozero(X3)|c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_RealVector_Oreal__vector(X3))).
% 0.18/0.44 cnf(i_0_734, plain, (c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_926, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_802, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_833, 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))).
% 0.18/0.44 cnf(i_0_684, 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))).
% 0.18/0.44 cnf(i_0_972, 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))).
% 0.18/0.44 cnf(i_0_927, 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))).
% 0.18/0.44 cnf(i_0_872, 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))).
% 0.18/0.44 cnf(i_0_599, 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))).
% 0.18/0.44 cnf(i_0_600, 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))).
% 0.18/0.44 cnf(i_0_828, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oabs__if(X2))).
% 0.18/0.44 cnf(i_0_890, plain, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_903, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1))).
% 0.18/0.44 cnf(i_0_968, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.18/0.44 cnf(i_0_1068, 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))).
% 0.18/0.44 cnf(i_0_662, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.18/0.44 cnf(i_0_911, plain, (c_RealVector_Odist__class_Odist(X1,X2,X3)=c_RealVector_Odist__class_Odist(X2,X1,X3)|~class_RealVector_Ometric__space(X3))).
% 0.18/0.44 cnf(i_0_970, 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))).
% 0.18/0.44 cnf(i_0_867, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.18/0.44 cnf(i_0_831, 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))).
% 0.18/0.44 cnf(i_0_843, plain, (c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_829, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=X1|c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add__abs(X2)|~class_Orderings_Olinorder(X2))).
% 0.18/0.44 cnf(i_0_663, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.18/0.44 cnf(i_0_1069, 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))).
% 0.18/0.44 cnf(i_0_665, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.18/0.44 cnf(i_0_664, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.18/0.44 cnf(i_0_711, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=X1|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_807, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_809, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_792, plain, (c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,X2)|~class_RealVector_Oreal__vector(X2))).
% 0.18/0.44 cnf(i_0_801, plain, (c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_728, plain, (c_Transcendental_Oexp(c_RealVector_Oof__real(X1,X2),X2)=c_RealVector_Oof__real(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),X2)|~class_SEQ_Obanach(X2)|~class_RealVector_Oreal__normed__field(X2))).
% 0.18/0.44 cnf(i_0_948, 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))).
% 0.18/0.44 cnf(i_0_961, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.18/0.44 cnf(i_0_960, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.18/0.44 cnf(i_0_836, 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))).
% 0.18/0.44 cnf(i_0_626, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(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))).
% 0.18/0.44 cnf(i_0_693, plain, (c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X2),X3,X2)=c_RealVector_OscaleR__class_OscaleR(X1,X3,X2)|~class_RealVector_Oreal__algebra__1(X2))).
% 0.18/0.44 cnf(i_0_859, 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))).
% 0.18/0.44 cnf(i_0_839, 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))).
% 0.18/0.44 cnf(i_0_834, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.18/0.44 cnf(i_0_1042, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X3,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_920, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|X1=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.18/0.44 cnf(i_0_696, 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))).
% 0.18/0.44 cnf(i_0_838, 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))).
% 0.18/0.44 cnf(i_0_628, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(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))).
% 0.18/0.44 cnf(i_0_791, plain, (X1=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)|X2=X3|c_RealVector_OscaleR__class_OscaleR(X1,X2,X4)!=c_RealVector_OscaleR__class_OscaleR(X1,X3,X4)|~class_RealVector_Oreal__vector(X4))).
% 0.18/0.44 cnf(i_0_670, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X4|c_RealVector_OscaleR__class_OscaleR(X3,X1,X2)!=c_RealVector_OscaleR__class_OscaleR(X4,X1,X2)|~class_RealVector_Oreal__vector(X2))).
% 0.18/0.44 cnf(i_0_1041, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_818, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Otimes__class_Otimes(X3,c_RealVector_Onorm__class_Onorm(X4,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_681, plain, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.18/0.44 cnf(i_0_1060, 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))).
% 0.18/0.44 cnf(i_0_771, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.18/0.44 cnf(i_0_756, 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_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_928, 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))).
% 0.18/0.44 cnf(i_0_685, 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))).
% 0.18/0.44 cnf(i_0_1061, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.18/0.44 cnf(i_0_864, 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),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 0.18/0.44 cnf(i_0_576, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2)=c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_RealVector_Oreal__vector(X2))).
% 0.18/0.44 cnf(i_0_732, 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))).
% 0.18/0.44 cnf(i_0_863, 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),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 0.18/0.44 cnf(i_0_990, 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))).
% 0.18/0.44 cnf(i_0_657, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(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))).
% 0.18/0.44 cnf(i_0_988, 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))).
% 0.18/0.44 cnf(i_0_808, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X1,X3,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_806, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X2,X3,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.18/0.44 cnf(i_0_938, plain, (c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_RealVector_Oreal__normed__div__algebra(X2))).
% 0.18/0.44 cnf(i_0_848, 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))).
% 0.18/0.44 cnf(i_0_746, 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))).
% 0.18/0.44 cnf(i_0_655, plain, (c_lessequals(X1,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_lessequals(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))).
% 0.18/0.44 cnf(i_0_647, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_646, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_649, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))).
% 0.18/0.44 cnf(i_0_942, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Otimes__class_Otimes(X1,X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_847, 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))).
% 0.18/0.44 cnf(i_0_825, 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))).
% 0.18/0.44 cnf(i_0_826, 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))).
% 0.18/0.44 cnf(i_0_940, 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_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 0.18/0.44 cnf(i_0_943, 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_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_648, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__semiring(X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))).
% 0.18/0.44 cnf(i_0_653, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(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)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_652, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_774, 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))).
% 0.18/0.44 cnf(i_0_688, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)=c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,X4)|~class_RealVector_Oreal__vector(X4))).
% 0.18/0.44 cnf(i_0_975, 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))).
% 0.18/0.44 cnf(i_0_857, 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))).
% 0.18/0.44 cnf(i_0_856, 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))).
% 0.18/0.44 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)|~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))).
% 0.18/0.44 cnf(i_0_773, 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))).
% 0.18/0.44 cnf(i_0_644, 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))).
% 0.18/0.44 cnf(i_0_713, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(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))).
% 0.18/0.44 cnf(i_0_642, 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))).
% 0.18/0.44 cnf(i_0_858, 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))).
% 0.18/0.44 cnf(i_0_974, 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))).
% 0.18/0.44 cnf(i_0_977, 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))).
% 0.18/0.44 cnf(i_0_976, 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))).
% 0.18/0.44 cnf(i_0_919, plain, (c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))).
% 0.18/0.44 cnf(i_0_766, plain, (c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X2),c_RealVector_Oof__real(X3,X2),X2)=c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),X2)|~class_RealVector_Oreal__algebra__1(X2))).
% 0.18/0.44 cnf(i_0_715, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_lessequals(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))).
% 0.18/0.44 cnf(i_0_749, 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))).
% 0.18/0.44 cnf(i_0_884, 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))).
% 0.18/0.44 cnf(i_0_885, 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))).
% 0.18/0.44 cnf(i_0_740, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_866, 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))).
% 0.18/0.44 cnf(i_0_865, plain, (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)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1))).
% 0.18/0.44 cnf(i_0_861, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),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)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_860, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),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)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_965, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_964, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Osgn__class_Osgn(X3,X2),X2)=c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_RealVector_Oreal__normed__div__algebra(X2))).
% 0.18/0.44 cnf(i_0_886, 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))).
% 0.18/0.44 cnf(i_0_883, 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))).
% 0.18/0.44 cnf(i_0_750, 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))).
% 0.18/0.44 cnf(i_0_747, 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))).
% 0.18/0.44 cnf(i_0_915, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)|~class_RealVector_Oreal__normed__algebra(X4))).
% 0.18/0.44 cnf(i_0_835, 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))).
% 0.18/0.44 cnf(i_0_837, 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))).
% 0.18/0.44 cnf(i_0_921, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|X3=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.18/0.44 cnf(i_0_748, 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))).
% 0.18/0.44 cnf(i_0_625, 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_lessequals(X3,X1,X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.18/0.44 cnf(i_0_627, 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_lessequals(X3,X1,X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.18/0.44 cnf(i_0_639, 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))).
% 0.18/0.44 cnf(i_0_918, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)|~class_RealVector_Oreal__algebra(X4))).
% 0.18/0.44 cnf(i_0_640, 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))).
% 0.18/0.44 cnf(i_0_680, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.18/0.44 cnf(i_0_879, 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))).
% 0.18/0.44 cnf(i_0_718, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__field(X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4))).
% 0.18/0.44 cnf(i_0_717, 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.18/0.44 cnf(i_0_819, 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))).
% 0.18/0.44 cnf(i_0_821, 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))).
% 0.18/0.44 cnf(i_0_822, 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))).
% 0.18/0.44 cnf(i_0_820, 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))).
% 0.18/0.44 cnf(i_0_849, 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))).
% 0.18/0.44 cnf(i_0_850, 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))).
% 0.18/0.44 cnf(i_0_901, 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_Ofield(X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.18/0.44 cnf(i_0_913, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),X3,X4)|~class_RealVector_Oreal__normed__algebra(X4))).
% 0.18/0.44 cnf(i_0_917, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),X3,X4)|~class_RealVector_Oreal__algebra(X4))).
% 0.18/0.44 cnf(i_0_876, 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))).
% 0.18/0.44 cnf(i_0_925, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)=c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),X3,X4)|~class_RealVector_Oreal__normed__field(X4))).
% 0.18/0.44 cnf(i_0_629, 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(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.18/0.44 cnf(i_0_630, 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),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.18/0.44 cnf(i_0_638, 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(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.18/0.44 cnf(i_0_637, 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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.18/0.44 cnf(i_0_902, 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))).
% 0.18/0.44 cnf(i_0_669, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))).
% 0.18/0.44 cnf(i_0_874, 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))).
% 0.18/0.44 cnf(i_0_873, 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))).
% 0.18/0.44 cnf(i_0_894, 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))).
% 0.18/0.44 cnf(i_0_895, 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))).
% 0.18/0.44 cnf(i_0_710, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.18/0.44 cnf(i_0_936, 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))).
% 0.18/0.44 cnf(i_0_690, 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))).
% 0.18/0.44 cnf(i_0_691, 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))).
% 0.18/0.44 cnf(i_0_692, 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))).
% 0.18/0.44 cnf(i_0_962, 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))).
% 0.18/0.44 cnf(i_0_945, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.18/0.44 cnf(i_0_689, 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))).
% 0.18/0.44 cnf(i_0_937, 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))).
% 0.18/0.44 cnf(i_0_934, 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))).
% 0.18/0.44 cnf(i_0_935, 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))).
% 0.18/0.44 cnf(i_0_932, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)=c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)|~class_RealVector_Oreal__vector(X4))).
% 0.18/0.44 cnf(i_0_870, 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))).
% 0.18/0.44 cnf(i_0_963, 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))).
% 0.18/0.44 cnf(i_0_931, plain, (c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)=c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)|~class_RealVector_Oreal__normed__vector(X4))).
% 0.18/0.44 cnf(i_0_769, 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))).
% 0.18/0.44 cnf(i_0_875, 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))).
% 0.18/0.44 cnf(i_0_896, 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))).
% 0.18/0.44 cnf(i_0_897, 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))).
% 0.18/0.44 cnf(i_0_816, plain, (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X3),X5,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X3),X4,tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.18/0.44 cnf(i_0_645, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)|~class_Ring__and__Field_Oordered__field(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_677, 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_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_947, 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))).
% 0.18/0.44 cnf(i_0_946, 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))).
% 0.18/0.44 cnf(i_0_892, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1(X1,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.18/0.44 cnf(i_0_667, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1(X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__algebra__1(X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.18/0.44 cnf(i_0_852, 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))).
% 0.18/0.44 cnf(i_0_854, 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))).
% 0.18/0.44 cnf(i_0_708, 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))).
% 0.18/0.44 cnf(i_0_880, 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))).
% 0.18/0.44 cnf(i_0_695, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.18/0.44 cnf(i_0_709, 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))).
% 0.18/0.44 cnf(i_0_979, 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))).
% 0.18/0.44 cnf(i_0_983, 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))).
% 0.18/0.44 cnf(i_0_719, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__field(X3))).
% 0.18/0.44 cnf(i_0_841, 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))).
% 0.18/0.44 cnf(i_0_980, 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))).
% 0.18/0.44 cnf(i_0_877, 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))).
% 0.18/0.44 cnf(i_0_984, 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))).
% 0.18/0.44 cnf(i_0_656, 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_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.18/0.44 cnf(i_0_842, 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))).
% 0.18/0.44 cnf(i_0_654, 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_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.18/0.44 cnf(i_0_912, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1(X4,X1,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))).
% 0.18/0.44 cnf(i_0_981, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_985, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_978, 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))).
% 0.18/0.44 cnf(i_0_659, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__field(X2)|~c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2))).
% 0.18/0.44 cnf(i_0_679, 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_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_678, 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_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_761, 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))).
% 0.18/0.44 cnf(i_0_760, 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))).
% 0.18/0.44 cnf(i_0_759, 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))).
% 0.18/0.44 cnf(i_0_757, 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))).
% 0.18/0.44 cnf(i_0_706, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_Ring__and__Field_Olordered__ring(X3))).
% 0.18/0.44 cnf(i_0_661, plain, (c_lessequals(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_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1))).
% 0.18/0.44 cnf(i_0_620, 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))).
% 0.18/0.44 cnf(i_0_624, 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))).
% 0.18/0.44 cnf(i_0_851, 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))).
% 0.18/0.44 cnf(i_0_658, plain, (c_lessequals(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_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))).
% 0.18/0.44 cnf(i_0_853, 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))).
% 0.18/0.44 cnf(i_0_758, 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))).
% 0.18/0.44 cnf(i_0_768, 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))).
% 0.18/0.44 cnf(i_0_767, 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))).
% 0.18/0.44 cnf(i_0_953, plain, (c_lessequals(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_lessequals(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))).
% 0.18/0.44 cnf(i_0_617, 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))).
% 0.18/0.44 cnf(i_0_621, 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))).
% 0.18/0.44 cnf(i_0_619, 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))).
% 0.18/0.44 cnf(i_0_618, 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))).
% 0.18/0.44 cnf(i_0_660, plain, (c_lessequals(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_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_668, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))).
% 0.18/0.44 cnf(i_0_951, plain, (c_lessequals(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_lessequals(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))).
% 0.18/0.44 cnf(i_0_632, 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))).
% 0.18/0.44 cnf(i_0_631, 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))).
% 0.18/0.44 cnf(i_0_722, 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_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))).
% 0.18/0.44 cnf(i_0_745, 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_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_623, 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))).
% 0.18/0.44 cnf(i_0_622, 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))).
% 0.18/0.44 cnf(i_0_634, 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))).
% 0.18/0.44 cnf(i_0_633, 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))).
% 0.18/0.44 cnf(i_0_744, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.18/0.44 cnf(i_0_891, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X3),c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.18/0.44 cnf(i_0_673, 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))).
% 0.18/0.44 cnf(i_0_721, 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_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_672, 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))).
% 0.18/0.44 cnf(i_0_910, plain, (c_lessequals(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_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))).
% 0.18/0.44 cnf(i_0_742, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.18/0.44 cnf(i_0_954, plain, (c_lessequals(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_lessequals(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))).
% 0.18/0.44 cnf(i_0_952, plain, (c_lessequals(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_lessequals(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))).
% 0.18/0.44 cnf(i_0_614, 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))).
% 0.18/0.44 cnf(i_0_615, 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))).
% 0.18/0.44 cnf(i_0_743, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.18/0.44 cnf(i_0_741, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)|~class_Ring__and__Field_Opordered__ring__abs(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.18/0.44 cnf(i_0_908, plain, (c_lessequals(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_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_909, plain, (c_lessequals(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_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4))).
% 0.18/0.44 cnf(i_0_907, plain, (c_lessequals(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_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))).
% 0.18/0.44 cnf(i_0_702, 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_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))).
% 0.18/0.44 cnf(i_0_724, 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))).
% 0.18/0.44 cnf(i_0_651, 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_lessequals(X1,X4,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))).
% 0.18/0.44 cnf(i_0_635, 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_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X5,X2,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.18/0.44 cnf(i_0_650, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,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)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_636, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_700, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Otimes__class_Otimes(X4,X5,X2),X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X2),X5,X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X4,X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.18/0.44 cnf(i_0_616, 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_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X5,X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X5,X3))).
% 0.18/0.44 cnf(i_0_613, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_612, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3))).
% 0.18/0.44 cnf(i_0_887, 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))).
% 0.18/0.44 cnf(i_0_703, 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_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.18/0.44 cnf(i_0_888, 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))).
% 0.18/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.18/0.44 # Begin printing tableau
% 0.18/0.44 # Found 4 steps
% 0.18/0.44 cnf(i_0_1071, negated_conjecture, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal)), inference(start_rule)).
% 0.18/0.44 cnf(i_0_1149, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal)), inference(extension_rule, [i_0_1059])).
% 0.18/0.44 cnf(i_0_1344, plain, (v_c____=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(closure_rule, [i_0_1070])).
% 0.18/0.44 cnf(i_0_1346, plain, (~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), inference(closure_rule, [i_0_1137])).
% 0.18/0.44 # End printing tableau
% 0.18/0.44 # SZS output end
% 0.18/0.44 # Branches closed with saturation will be marked with an "s"
% 0.18/0.44 # Returning from population with 7 new_tableaux and 0 remaining starting tableaux.
% 0.18/0.44 # We now have 7 tableaux to operate on
% 0.18/0.44 # Found closed tableau during pool population.
% 0.18/0.44 # Proof search is over...
% 0.18/0.44 # Freeing feature tree
%------------------------------------------------------------------------------