TSTP Solution File: ALG340-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : ALG340-1 : 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 : n028.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 16:52:30 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG340-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 19:20:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.43 # No SInE strategy applied
% 0.19/0.43 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.19/0.43 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.43 #
% 0.19/0.43 # Presaturation interreduction done
% 0.19/0.43 # Number of axioms: 552 Number of unprocessed: 491
% 0.19/0.43 # Tableaux proof search.
% 0.19/0.43 # APR header successfully linked.
% 0.19/0.43 # Hello from C++
% 0.19/0.44 # The folding up rule is enabled...
% 0.19/0.44 # Local unification is enabled...
% 0.19/0.44 # Any saturation attempts will use folding labels...
% 0.19/0.44 # 491 beginning clauses after preprocessing and clausification
% 0.19/0.44 # Creating start rules for all 2 conjectures.
% 0.19/0.44 # There are 2 start rule candidates:
% 0.19/0.44 # Found 86 unit axioms.
% 0.19/0.44 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.44 # 2 start rule tableaux created.
% 0.19/0.44 # 405 extension rule candidate clauses
% 0.19/0.44 # 86 unit axiom clauses
% 0.19/0.44
% 0.19/0.44 # Requested 8, 32 cores available to the main process.
% 0.19/0.44 # There are not enough tableaux to fork, creating more from the initial 2
% 0.19/0.44 # Returning from population with 21 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.44 # We now have 21 tableaux to operate on
% 0.19/0.57 # There were 1 total branch saturation attempts.
% 0.19/0.57 # There were 0 of these attempts blocked.
% 0.19/0.57 # There were 0 deferred branch saturation attempts.
% 0.19/0.57 # There were 0 free duplicated saturations.
% 0.19/0.57 # There were 1 total successful branch saturations.
% 0.19/0.57 # There were 0 successful branch saturations in interreduction.
% 0.19/0.57 # There were 0 successful branch saturations on the branch.
% 0.19/0.57 # There were 1 successful branch saturations after the branch.
% 0.19/0.57 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.57 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.57 # Begin clausification derivation
% 0.19/0.57
% 0.19/0.57 # End clausification derivation
% 0.19/0.57 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.57 cnf(i_0_1016, plain, (class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1006, plain, (class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1043, plain, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_998, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1001, plain, (class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1007, plain, (class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_993, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1021, plain, (class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_995, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1010, plain, (class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1046, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_994, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_989, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1000, plain, (class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_988, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1008, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1044, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1019, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1053, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1031, plain, (class_Ring__and__Field_Oidom(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1061, plain, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1035, plain, (class_Int_Onumber__ring(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1062, plain, (class_Int_Onumber__ring(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1028, plain, (class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1059, plain, (class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1012, plain, (class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1048, plain, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1018, plain, (class_RealVector_Oreal__normed__field(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1052, plain, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1030, plain, (class_Ring__and__Field_Ofield(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1060, plain, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_990, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_991, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1003, plain, (class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1015, plain, (class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1025, plain, (class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1022, plain, (class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1005, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1042, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_996, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1038, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1020, plain, (class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1054, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1024, plain, (class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1056, plain, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1036, plain, (class_Power_Opower(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1063, plain, (class_Power_Opower(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_992, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1037, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1029, plain, (class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1027, plain, (class_Ring__and__Field_Osemiring(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1058, plain, (class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1014, plain, (class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1050, plain, (class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1023, plain, (class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1055, plain, (class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1013, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1049, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1011, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1047, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1017, plain, (class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1051, plain, (class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_997, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1039, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1002, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1041, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_999, plain, (class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1040, plain, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1026, plain, (class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1057, plain, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_1004, plain, (class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1034, plain, (class_Orderings_Oorder(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1033, plain, (class_Orderings_Olinorder(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1032, plain, (class_Orderings_Opreorder(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1009, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1045, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_986, plain, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_984, plain, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_987, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_985, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex))).
% 0.19/0.57 cnf(i_0_930, plain, (c_lessequals(X1,X1,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_765, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_843, 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))).
% 0.19/0.57 cnf(i_0_818, plain, (c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_764, 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))).
% 0.19/0.57 cnf(i_0_939, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1074, plain, (class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_940, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.57 cnf(i_0_941, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.57 cnf(i_0_938, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.57 cnf(i_0_1080, plain, (class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_980, negated_conjecture, (c_lessequals(c_RealVector_Onorm__class_Onorm(v_x(X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_969, plain, (~class_RealVector_Oreal__normed__vector(X1)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_965, plain, (~class_RealVector_Oreal__normed__vector(X1)|~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))).
% 0.19/0.57 cnf(i_0_1069, plain, (class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1090, plain, (class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1071, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1070, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1065, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1075, plain, (class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1064, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_981, negated_conjecture, (~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_1081, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.57 cnf(i_0_1088, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.57 cnf(i_0_1099, plain, (class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.57 cnf(i_0_1103, plain, (class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 0.19/0.57 cnf(i_0_1097, plain, (class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.57 cnf(i_0_1066, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1067, plain, (class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1077, plain, (class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1086, plain, (class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1094, plain, (class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1091, plain, (class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1079, plain, (class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.57 cnf(i_0_1072, plain, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.57 cnf(i_0_1089, plain, (class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.57 cnf(i_0_1093, plain, (class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.57 cnf(i_0_1104, plain, (class_Power_Opower(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.57 cnf(i_0_1068, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.57 cnf(i_0_1098, plain, (class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1096, plain, (class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.57 cnf(i_0_1085, plain, (class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.57 cnf(i_0_1092, plain, (class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.19/0.57 cnf(i_0_1084, plain, (class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.57 cnf(i_0_1083, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.57 cnf(i_0_1087, plain, (class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.57 cnf(i_0_1073, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1))).
% 0.19/0.57 cnf(i_0_1076, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1))).
% 0.19/0.57 cnf(i_0_1095, plain, (class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.57 cnf(i_0_1078, plain, (class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1102, plain, (class_Orderings_Oorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1101, plain, (class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1100, plain, (class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_1082, plain, (class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.57 cnf(i_0_982, plain, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1))).
% 0.19/0.57 cnf(i_0_983, plain, (class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1))).
% 0.19/0.57 cnf(i_0_935, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_945, 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))).
% 0.19/0.57 cnf(i_0_942, 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))).
% 0.19/0.57 cnf(i_0_800, 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))).
% 0.19/0.57 cnf(i_0_979, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.57 cnf(i_0_972, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.57 cnf(i_0_932, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.19/0.57 cnf(i_0_967, 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))).
% 0.19/0.57 cnf(i_0_912, 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))).
% 0.19/0.57 cnf(i_0_770, 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))).
% 0.19/0.57 cnf(i_0_968, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2)|~c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_798, 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))).
% 0.19/0.57 cnf(i_0_933, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 0.19/0.57 cnf(i_0_584, 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))).
% 0.19/0.57 cnf(i_0_918, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.57 cnf(i_0_919, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.57 cnf(i_0_922, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.57 cnf(i_0_762, 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))).
% 0.19/0.57 cnf(i_0_966, 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))).
% 0.19/0.57 cnf(i_0_952, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_964, plain, (X1=X2|~c_lessequals(X2,X1,tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_763, 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))).
% 0.19/0.57 cnf(i_0_799, 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))).
% 0.19/0.57 cnf(i_0_920, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|c_lessequals(X2,X1,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_673, 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))).
% 0.19/0.57 cnf(i_0_672, 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))).
% 0.19/0.57 cnf(i_0_835, plain, (c_HOL_Otimes__class_Otimes(X1,X1,X2)=X1|~class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 0.19/0.57 cnf(i_0_771, 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))).
% 0.19/0.57 cnf(i_0_955, 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))).
% 0.19/0.57 cnf(i_0_944, plain, (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1))).
% 0.19/0.57 cnf(i_0_943, plain, (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1))).
% 0.19/0.57 cnf(i_0_853, 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))).
% 0.19/0.57 cnf(i_0_907, 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))).
% 0.19/0.57 cnf(i_0_780, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.57 cnf(i_0_785, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X2))).
% 0.19/0.57 cnf(i_0_936, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.57 cnf(i_0_934, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.57 cnf(i_0_665, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.57 cnf(i_0_931, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(X3,X2,tc_RealDef_Oreal)|~c_lessequals(X1,X3,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_769, 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))).
% 0.19/0.57 cnf(i_0_768, 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))).
% 0.19/0.57 cnf(i_0_909, 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))).
% 0.19/0.57 cnf(i_0_669, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 0.19/0.57 cnf(i_0_671, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Omonoid__add(X2))).
% 0.19/0.57 cnf(i_0_679, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=X3|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.57 cnf(i_0_960, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.57 cnf(i_0_664, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.57 cnf(i_0_911, plain, (c_HOL_Oord__class_Oless(X1,c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(X1,X2),tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_910, plain, (c_HOL_Oord__class_Oless(c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(X1,X2),X2,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.57 cnf(i_0_666, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.57 cnf(i_0_670, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.57 cnf(i_0_791, 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))).
% 0.19/0.57 cnf(i_0_858, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X4))).
% 0.19/0.57 cnf(i_0_859, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 0.19/0.57 cnf(i_0_860, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)!=c_HOL_Oplus__class_Oplus(X2,X3,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 0.19/0.57 cnf(i_0_946, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.57 cnf(i_0_788, 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))).
% 0.19/0.57 cnf(i_0_797, 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))).
% 0.19/0.57 cnf(i_0_795, 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))).
% 0.19/0.57 cnf(i_0_674, 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))).
% 0.19/0.57 cnf(i_0_677, 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))).
% 0.19/0.57 cnf(i_0_789, 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))).
% 0.19/0.57 cnf(i_0_787, 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))).
% 0.19/0.57 cnf(i_0_796, 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))).
% 0.19/0.57 cnf(i_0_794, 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))).
% 0.19/0.57 cnf(i_0_668, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.57 cnf(i_0_678, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.57 cnf(i_0_948, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.57 cnf(i_0_580, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.57 cnf(i_0_977, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.57 cnf(i_0_615, 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))).
% 0.19/0.57 cnf(i_0_616, 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))).
% 0.19/0.57 cnf(i_0_774, 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))).
% 0.19/0.57 cnf(i_0_914, 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))).
% 0.19/0.57 cnf(i_0_801, 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))).
% 0.19/0.57 cnf(i_0_682, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1))).
% 0.19/0.57 cnf(i_0_857, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_Int_Onumber__ring(X4)|~class_Ring__and__Field_Oidom(X4))).
% 0.19/0.57 cnf(i_0_732, 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))).
% 0.19/0.57 cnf(i_0_916, 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))).
% 0.19/0.57 cnf(i_0_767, 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))).
% 0.19/0.57 cnf(i_0_908, 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))).
% 0.19/0.57 cnf(i_0_642, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.19/0.57 cnf(i_0_579, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.57 cnf(i_0_683, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.57 cnf(i_0_784, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Power_Opower__class_Opower(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Ring__and__Field_Omult__zero(X2)|~class_Ring__and__Field_Ozero__neq__one(X2)|~class_Ring__and__Field_Ono__zero__divisors(X2))).
% 0.19/0.57 cnf(i_0_921, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.57 cnf(i_0_781, 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))).
% 0.19/0.57 cnf(i_0_783, 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))).
% 0.19/0.57 cnf(i_0_917, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(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))).
% 0.19/0.57 cnf(i_0_817, 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))).
% 0.19/0.57 cnf(i_0_578, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.57 cnf(i_0_704, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.57 cnf(i_0_564, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1))).
% 0.19/0.57 cnf(i_0_714, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.57 cnf(i_0_681, plain, (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)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.57 cnf(i_0_581, plain, (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)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.57 cnf(i_0_753, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1))).
% 0.19/0.57 cnf(i_0_773, 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))).
% 0.19/0.57 cnf(i_0_862, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.57 cnf(i_0_628, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.57 cnf(i_0_631, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.57 cnf(i_0_619, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.57 cnf(i_0_621, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.57 cnf(i_0_864, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.57 cnf(i_0_772, 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))).
% 0.19/0.57 cnf(i_0_915, 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))).
% 0.19/0.57 cnf(i_0_913, 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))).
% 0.19/0.57 cnf(i_0_712, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.19/0.57 cnf(i_0_956, 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))).
% 0.19/0.57 cnf(i_0_828, 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))).
% 0.19/0.57 cnf(i_0_834, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.57 cnf(i_0_833, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.57 cnf(i_0_970, 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))).
% 0.19/0.57 cnf(i_0_925, 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))).
% 0.19/0.57 cnf(i_0_680, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.57 cnf(i_0_759, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_Power_Opower__class_Opower(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.57 cnf(i_0_937, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.57 cnf(i_0_926, 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))).
% 0.19/0.57 cnf(i_0_957, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.57 cnf(i_0_971, 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))).
% 0.19/0.57 cnf(i_0_929, 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))).
% 0.19/0.57 cnf(i_0_928, 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))).
% 0.19/0.57 cnf(i_0_924, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_927, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_563, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.57 cnf(i_0_585, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.57 cnf(i_0_867, 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))).
% 0.19/0.57 cnf(i_0_649, plain, (~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1))).
% 0.19/0.57 cnf(i_0_574, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.57 cnf(i_0_573, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.57 cnf(i_0_701, 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))).
% 0.19/0.57 cnf(i_0_713, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.57 cnf(i_0_711, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__semidom(X1))).
% 0.19/0.57 cnf(i_0_577, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.19/0.57 cnf(i_0_703, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.57 cnf(i_0_871, 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))).
% 0.19/0.57 cnf(i_0_865, 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))).
% 0.19/0.57 cnf(i_0_902, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.57 cnf(i_0_699, 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))).
% 0.19/0.57 cnf(i_0_889, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__semidom(X3)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3))).
% 0.19/0.57 cnf(i_0_900, 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)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.57 cnf(i_0_831, 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))).
% 0.19/0.57 cnf(i_0_744, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.57 cnf(i_0_727, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~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))).
% 0.19/0.57 cnf(i_0_726, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.57 cnf(i_0_725, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.57 cnf(i_0_637, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.57 cnf(i_0_636, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.57 cnf(i_0_891, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3))).
% 0.19/0.57 cnf(i_0_890, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3))).
% 0.19/0.57 cnf(i_0_811, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.57 cnf(i_0_728, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~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))).
% 0.19/0.57 cnf(i_0_743, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.57 cnf(i_0_746, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.57 cnf(i_0_745, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.57 cnf(i_0_878, 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))).
% 0.19/0.57 cnf(i_0_893, 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))).
% 0.19/0.57 cnf(i_0_892, 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))).
% 0.19/0.57 cnf(i_0_898, 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)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.57 cnf(i_0_897, 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)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3))).
% 0.19/0.57 cnf(i_0_556, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),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))).
% 0.19/0.57 cnf(i_0_576, 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))).
% 0.19/0.57 cnf(i_0_881, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_730, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),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_Oordered__ring__strict(X1))).
% 0.19/0.57 cnf(i_0_877, 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))).
% 0.19/0.57 cnf(i_0_841, 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))).
% 0.19/0.57 cnf(i_0_861, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=X4|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3)!=c_HOL_Oplus__class_Oplus(X5,X4,X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.57 cnf(i_0_569, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.57 cnf(i_0_625, 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))).
% 0.19/0.57 cnf(i_0_626, 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))).
% 0.19/0.57 cnf(i_0_555, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(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__field(X1))).
% 0.19/0.57 cnf(i_0_882, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~c_lessequals(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))).
% 0.19/0.57 cnf(i_0_731, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),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_Oordered__ring__strict(X1))).
% 0.19/0.57 cnf(i_0_588, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(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__field(X3))).
% 0.19/0.57 cnf(i_0_747, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2))).
% 0.19/0.57 cnf(i_0_748, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2))).
% 0.19/0.57 cnf(i_0_643, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_597, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_645, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_838, 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))).
% 0.19/0.57 cnf(i_0_587, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(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__field(X3))).
% 0.19/0.57 cnf(i_0_886, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_885, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(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__field(X3))).
% 0.19/0.57 cnf(i_0_722, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),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_Oordered__ring__strict(X3))).
% 0.19/0.57 cnf(i_0_876, 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))).
% 0.19/0.57 cnf(i_0_866, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3)=c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)|~class_OrderedGroup_Omonoid__mult(X3))).
% 0.19/0.57 cnf(i_0_599, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_896, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.57 cnf(i_0_778, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(X1,X3,X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4))).
% 0.19/0.57 cnf(i_0_752, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4))).
% 0.19/0.57 cnf(i_0_815, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.57 cnf(i_0_721, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),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_Oordered__ring__strict(X3))).
% 0.19/0.57 cnf(i_0_686, 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)|~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)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.57 cnf(i_0_708, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),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)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.57 cnf(i_0_567, 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(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_875, 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))).
% 0.19/0.57 cnf(i_0_812, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__add(X3))).
% 0.19/0.57 cnf(i_0_751, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.57 cnf(i_0_648, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_602, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_647, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_874, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.57 cnf(i_0_566, 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(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_565, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_568, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_756, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_842, 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))).
% 0.19/0.57 cnf(i_0_632, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_601, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_594, 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))).
% 0.19/0.57 cnf(i_0_592, 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))).
% 0.19/0.57 cnf(i_0_591, 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))).
% 0.19/0.57 cnf(i_0_633, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_755, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_754, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_757, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_685, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_809, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 0.19/0.57 cnf(i_0_629, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.57 cnf(i_0_593, 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))).
% 0.19/0.57 cnf(i_0_688, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_707, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_710, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_630, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.57 cnf(i_0_687, 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(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_709, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_733, 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))).
% 0.19/0.57 cnf(i_0_816, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 0.19/0.57 cnf(i_0_618, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_804, 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))).
% 0.19/0.57 cnf(i_0_622, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_617, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.57 cnf(i_0_620, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.57 cnf(i_0_614, 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))).
% 0.19/0.57 cnf(i_0_575, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.57 cnf(i_0_586, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(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))).
% 0.19/0.57 cnf(i_0_880, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.19/0.57 cnf(i_0_779, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.19/0.57 cnf(i_0_813, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 0.19/0.57 cnf(i_0_638, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.57 cnf(i_0_729, 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))).
% 0.19/0.57 cnf(i_0_735, 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))).
% 0.19/0.57 cnf(i_0_715, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1))).
% 0.19/0.57 cnf(i_0_684, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.57 cnf(i_0_887, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.57 cnf(i_0_888, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.57 cnf(i_0_702, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3))).
% 0.19/0.57 cnf(i_0_571, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.57 cnf(i_0_570, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3))).
% 0.19/0.57 cnf(i_0_839, 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))).
% 0.19/0.57 cnf(i_0_718, 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))).
% 0.19/0.57 cnf(i_0_716, 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))).
% 0.19/0.57 cnf(i_0_705, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_706, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),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)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_810, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.57 cnf(i_0_750, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_749, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_557, 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))).
% 0.19/0.57 cnf(i_0_558, 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))).
% 0.19/0.57 cnf(i_0_806, 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))).
% 0.19/0.57 cnf(i_0_850, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.57 cnf(i_0_832, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|X3=X4|c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)!=c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.57 cnf(i_0_624, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__group__add(X4)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)|~c_lessequals(X5,X3,X4))).
% 0.19/0.57 cnf(i_0_627, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_761, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))).
% 0.19/0.57 cnf(i_0_803, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.57 cnf(i_0_613, 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)|~class_RealVector_Oreal__normed__algebra(X3)|~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))).
% 0.19/0.57 cnf(i_0_560, 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)|~c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_904, 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)|~c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)|~class_Ring__and__Field_Odivision__by__zero(X2)|~class_Ring__and__Field_Oordered__field(X2))).
% 0.19/0.57 cnf(i_0_562, 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)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_805, 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))).
% 0.19/0.57 cnf(i_0_845, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.57 cnf(i_0_760, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_623, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_583, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X4,X1,X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_690, 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))).
% 0.19/0.57 cnf(i_0_836, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.57 cnf(i_0_906, 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)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~class_Ring__and__Field_Oordered__field(X1))).
% 0.19/0.57 cnf(i_0_694, 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))).
% 0.19/0.57 cnf(i_0_559, 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)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_837, plain, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)|~class_OrderedGroup_Ocomm__monoid__mult(X3))).
% 0.19/0.57 cnf(i_0_901, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~c_lessequals(X4,X2,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.57 cnf(i_0_582, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(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__field(X3))).
% 0.19/0.57 cnf(i_0_691, 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))).
% 0.19/0.57 cnf(i_0_695, 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))).
% 0.19/0.57 cnf(i_0_899, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~c_lessequals(X2,X4,X3)|~class_Ring__and__Field_Oordered__ring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3))).
% 0.19/0.57 cnf(i_0_758, plain, (c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_lessequals(X1,X4,X3)|~class_Ring__and__Field_Oordered__semidom(X3))).
% 0.19/0.57 cnf(i_0_903, 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)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_641, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.57 cnf(i_0_738, 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))).
% 0.19/0.57 cnf(i_0_739, 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))).
% 0.19/0.57 cnf(i_0_692, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_696, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.57 cnf(i_0_640, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)|~class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.19/0.57 cnf(i_0_689, 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))).
% 0.19/0.57 cnf(i_0_740, 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))).
% 0.19/0.57 cnf(i_0_741, 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))).
% 0.19/0.57 cnf(i_0_742, 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))).
% 0.19/0.57 cnf(i_0_561, 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)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_639, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1))).
% 0.19/0.57 cnf(i_0_736, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X4,X1,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_737, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_lessequals(X1,X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_658, 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)|~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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_611, 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)|~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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_846, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.19/0.57 cnf(i_0_654, 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)|~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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_609, 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)|~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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_905, 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)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~class_Ring__and__Field_Odivision__by__zero(X3)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_661, 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)|~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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_802, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_RealVector_Oreal__normed__field(X3))).
% 0.19/0.57 cnf(i_0_652, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_653, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_604, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_635, plain, (c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)|~class_Ring__and__Field_Odivision__by__zero(X4)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_848, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_RealVector_Oreal__normed__algebra(X3))).
% 0.19/0.57 cnf(i_0_608, 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)|~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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_657, 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)|~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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_606, 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)|~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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_659, 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(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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_851, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring(X3))).
% 0.19/0.57 cnf(i_0_650, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_603, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_651, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_634, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_829, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ofield(X3)|~class_Ring__and__Field_Odivision__by__zero(X3))).
% 0.19/0.57 cnf(i_0_660, 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(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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_612, 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_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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_607, 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_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)|~class_Ring__and__Field_Oordered__field(X4))).
% 0.19/0.57 cnf(i_0_655, 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(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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_873, plain, (c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X4,X3),X2,X3)|X4=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.57 cnf(i_0_868, plain, (X1=X2|X3=X4|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)|~class_Int_Onumber__ring(X5)|~class_Ring__and__Field_Oidom(X5))).
% 0.19/0.57 cnf(i_0_610, 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_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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_656, 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(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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_855, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X1,X3,X4),X4)|X3=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Ofield(X4)|~class_Ring__and__Field_Odivision__by__zero(X4))).
% 0.19/0.57 cnf(i_0_605, 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_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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_663, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_662, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_595, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_822, 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))).
% 0.19/0.57 cnf(i_0_854, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)|X3=c_HOL_Ozero__class_Ozero(X4)|~class_Ring__and__Field_Ofield(X4)|~class_Ring__and__Field_Odivision__by__zero(X4))).
% 0.19/0.57 cnf(i_0_895, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_883, plain, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_777, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_830, 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))).
% 0.19/0.57 cnf(i_0_856, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.57 cnf(i_0_894, plain, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)|~c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_884, 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)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_776, 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)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3))).
% 0.19/0.57 cnf(i_0_775, 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)|~class_Ring__and__Field_Oordered__semiring__strict(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.57 cnf(i_0_820, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.57 cnf(i_0_724, 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))).
% 0.19/0.57 cnf(i_0_723, 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))).
% 0.19/0.57 cnf(i_0_596, plain, (c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),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)|~class_Ring__and__Field_Oordered__field(X3))).
% 0.19/0.57 cnf(i_0_807, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3)|~class_Ring__and__Field_Osemiring(X3))).
% 0.19/0.57 cnf(i_0_870, plain, (c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),c_HOL_Otimes__class_Otimes(X5,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X5,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)|X5=c_HOL_Ozero__class_Ozero(X3)|X2=c_HOL_Ozero__class_Ozero(X3)|~class_Ring__and__Field_Ofield(X3))).
% 0.19/0.57 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.57 # Begin printing tableau
% 0.19/0.57 # Found 7 steps
% 0.19/0.57 cnf(i_0_981, negated_conjecture, (~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(c_RealDef_Oreal__of__preal(X9)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealDef_Oreal__of__preal(X9),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X9),tc_RealDef_Oreal)), inference(start_rule)).
% 0.19/0.57 cnf(i_0_1106, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X9),tc_RealDef_Oreal)), inference(closure_rule, [i_0_765])).
% 0.19/0.57 cnf(i_0_1105, plain, (~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(c_RealDef_Oreal__of__preal(X9)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealDef_Oreal__of__preal(X9),tc_RealDef_Oreal)), inference(extension_rule, [i_0_924])).
% 0.19/0.57 cnf(i_0_1556, plain, (~class_Orderings_Oorder(tc_RealDef_Oreal)), inference(closure_rule, [i_0_1034])).
% 0.19/0.57 cnf(i_0_1557, plain, (~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(c_RealDef_Oreal__of__preal(X9)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealDef_Oreal__of__preal(X9),tc_RealDef_Oreal)), inference(extension_rule, [i_0_935])).
% 0.19/0.57 cnf(i_0_1558, plain, (~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(c_RealDef_Oreal__of__preal(X9)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(c_RealDef_Oreal__of__preal(X9)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)), inference(closure_rule, [i_0_930])).
% 0.19/0.57 cnf(i_0_2620, plain, (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(c_RealDef_Oreal__of__preal(X9)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealDef_Oreal__of__preal(X9),tc_RealDef_Oreal)), inference(etableau_closure_rule, [i_0_2620, ...])).
% 0.19/0.57 # End printing tableau
% 0.19/0.57 # SZS output end
% 0.19/0.57 # Branches closed with saturation will be marked with an "s"
% 0.19/0.58 # Child (780) has found a proof.
% 0.19/0.58
% 0.19/0.58 # Proof search is over...
% 0.19/0.58 # Freeing feature tree
%------------------------------------------------------------------------------