TSTP Solution File: ALG359-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG359-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 : 300s
% DateTime : Wed Aug 30 16:07:28 EDT 2023
% Result : Unsatisfiable 114.13s 114.20s
% Output : CNFRefutation 114.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 126
% Syntax : Number of formulae : 196 ( 59 unt; 97 typ; 0 def)
% Number of atoms : 155 ( 96 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 112 ( 56 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 118 ( 91 >; 27 *; 0 +; 0 <<)
% Number of predicates : 75 ( 73 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 6 con; 0-3 aty)
% Number of variables : 134 ( 5 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_23,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
tc_RealDef_Oreal: $i ).
tff(decl_26,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_27,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_28,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_29,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_31,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(decl_32,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_33,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_34,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_35,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_37,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_38,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_39,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_40,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_41,type,
class_RealVector_Oreal__algebra__1: $i > $o ).
tff(decl_42,type,
c_RealVector_Oof__real: ( $i * $i ) > $i ).
tff(decl_43,type,
c_RealVector_OscaleR__class_OscaleR: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
class_Ring__and__Field_Odvd: $i > $o ).
tff(decl_45,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_46,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_50,type,
c_Complex_ORe: $i > $i ).
tff(decl_51,type,
tc_Complex_Ocomplex: $i ).
tff(decl_52,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_53,type,
c_Complex_Ocomplex_OComplex: ( $i * $i ) > $i ).
tff(decl_54,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_55,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
tc_nat: $i ).
tff(decl_57,type,
c_Parity_Oeven__odd__class_Oeven: ( $i * $i ) > $o ).
tff(decl_58,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_59,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_60,type,
c_HOL_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_61,type,
class_RealVector_Oreal__vector: $i > $o ).
tff(decl_62,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_63,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_64,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_65,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_66,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_67,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_68,type,
c_Complex_Ocnj: $i > $i ).
tff(decl_69,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_70,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_71,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_72,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_73,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_74,type,
class_Power_Opower: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_76,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_77,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_78,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_79,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_80,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(decl_81,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_82,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_83,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_84,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_85,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_86,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_87,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_88,type,
c_NthRoot_Oroot: ( $i * $i ) > $i ).
tff(decl_89,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_90,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_91,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_92,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_93,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_94,type,
class_Ring__and__Field_Osgn__if: $i > $o ).
tff(decl_95,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_96,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_97,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_98,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_99,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_100,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_101,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_102,type,
class_RealVector_Oreal__algebra: $i > $o ).
tff(decl_103,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_104,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_105,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_106,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_107,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_108,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_109,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_110,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_111,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_112,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_113,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_114,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_115,type,
v_b: $i ).
tff(decl_116,type,
v_na____: $i ).
tff(decl_117,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_118,type,
v_v____: $i ).
cnf(cls_inverse__zero__imp__zero_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Odivision__ring(X1)
| c_HOL_Oinverse__class_Oinverse(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__zero__imp__zero_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) ).
cnf(cls_inverse__minus__eq_0,axiom,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__minus__eq_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
cnf(cls_inverse__inverse__eq_0,axiom,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = X2
| ~ class_Ring__and__Field_Odivision__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__inverse__eq_0) ).
cnf(cls_norm__minus__cancel_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_RealVector_Onorm__class_Onorm(X2,X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__minus__cancel_0) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(cls_norm__zero_0,axiom,
( 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__zero_0) ).
cnf(cls_o_0,axiom,
~ c_Parity_Oeven__odd__class_Oeven(v_na____,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o_0) ).
cnf(cls_odd__real__root__pow_0,axiom,
( c_Power_Opower__class_Opower(c_NthRoot_Oroot(X1,X2),X1,tc_RealDef_Oreal) = X2
| c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_odd__real__root__pow_0) ).
cnf(cls_equation__minus__iff_1,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equation__minus__iff_1) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
cnf(cls_complex__of__real__power_0,axiom,
c_Power_Opower__class_Opower(c_RealVector_Oof__real(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_RealVector_Oof__real(c_Power_Opower__class_Opower(X1,X2,tc_RealDef_Oreal),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__of__real__power_0) ).
cnf(cls_complex__zero__def_0,axiom,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__zero__def_0) ).
cnf(cls_complex__of__real__def_0,axiom,
c_RealVector_Oof__real(X1,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__of__real__def_0) ).
cnf(cls_divide__inverse_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__inverse_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
cnf(cls_class__semiring_Omul__c_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__c_0) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_eq__divide__eq_2,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_2) ).
cnf(cls_real__root__zero_0,axiom,
c_NthRoot_Oroot(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__root__zero_0) ).
cnf(cls_right__inverse__eq_1,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__inverse__eq_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(v_v____,c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_class__semiring_Omul__1_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__1_0) ).
cnf(cls_mult__frac__num_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__frac__num_0) ).
cnf(cls_inverse__divide_0,axiom,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X3,X2,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__divide_0) ).
cnf(cls_inverse__eq__divide_0,axiom,
( c_HOL_Oinverse__class_Oinverse(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
cnf(cls_sgn__eq_0,axiom,
c_HOL_Osgn__class_Osgn(X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__eq_0) ).
cnf(cls_power__divide_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__divide_0) ).
cnf(c_0_29,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Odivision__ring(X1)
| c_HOL_Oinverse__class_Oinverse(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_inverse__zero__imp__zero_0 ).
cnf(c_0_30,axiom,
class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring ).
cnf(c_0_31,axiom,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_inverse__minus__eq_0 ).
cnf(c_0_32,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero ).
cnf(c_0_33,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_32])]) ).
cnf(c_0_35,axiom,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = X2
| ~ class_Ring__and__Field_Odivision__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_inverse__inverse__eq_0 ).
cnf(c_0_36,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_RealVector_Onorm__class_Onorm(X2,X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__minus__cancel_0 ).
cnf(c_0_37,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector ).
cnf(c_0_38,plain,
( c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_30]),c_0_32])]) ).
cnf(c_0_40,axiom,
( 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) ),
cls_norm__zero_0 ).
cnf(c_0_41,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_44,axiom,
~ c_Parity_Oeven__odd__class_Oeven(v_na____,tc_nat),
cls_o_0 ).
cnf(c_0_45,axiom,
( c_Power_Opower__class_Opower(c_NthRoot_Oroot(X1,X2),X1,tc_RealDef_Oreal) = X2
| c_Parity_Oeven__odd__class_Oeven(X1,tc_nat) ),
cls_odd__real__root__pow_0 ).
cnf(c_0_46,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_47,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_equation__minus__iff_1 ).
cnf(c_0_48,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add ).
cnf(c_0_49,axiom,
c_Power_Opower__class_Opower(c_RealVector_Oof__real(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_RealVector_Oof__real(c_Power_Opower__class_Opower(X1,X2,tc_RealDef_Oreal),tc_Complex_Ocomplex),
cls_complex__of__real__power_0 ).
cnf(c_0_50,plain,
c_Power_Opower__class_Opower(c_NthRoot_Oroot(v_na____,X1),v_na____,tc_RealDef_Oreal) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,axiom,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
cls_complex__zero__def_0 ).
cnf(c_0_52,axiom,
c_RealVector_Oof__real(X1,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
cls_complex__of__real__def_0 ).
cnf(c_0_53,axiom,
( c_HOL_Oinverse__class_Odivide(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_divide__inverse_0 ).
cnf(c_0_54,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ofield ).
cnf(c_0_55,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__c_0 ).
cnf(c_0_56,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_57,plain,
( c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_46,c_0_39]) ).
cnf(c_0_58,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_eq__divide__eq_2 ).
cnf(c_0_60,plain,
c_Power_Opower__class_Opower(c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,X1),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) = c_RealVector_Oof__real(X1,tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_61,axiom,
c_NthRoot_Oroot(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_real__root__zero_0 ).
cnf(c_0_62,plain,
c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_right__inverse__eq_1 ).
cnf(c_0_64,plain,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,plain,
c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_66,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(v_v____,c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
cls_conjecture_0 ).
cnf(c_0_67,plain,
( c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_34]),c_0_41]),c_0_58]) ).
cnf(c_0_68,plain,
c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_54]),c_0_32])]) ).
cnf(c_0_69,plain,
c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_62]) ).
cnf(c_0_70,plain,
( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_63,c_0_54]) ).
cnf(c_0_71,plain,
c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Oinverse(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_64,c_0_39]) ).
cnf(c_0_72,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_65,c_0_64]) ).
cnf(c_0_73,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__1_0 ).
cnf(c_0_74,negated_conjecture,
c_HOL_Oinverse__class_Oinverse(v_b,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_61]),c_0_62]),c_0_68]),c_0_69]),c_0_62]),c_0_68])]) ).
cnf(c_0_75,plain,
( c_HOL_Oinverse__class_Odivide(X1,X1,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)
| c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_76,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_mult__frac__num_0 ).
cnf(c_0_77,axiom,
( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X3,X2,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_inverse__divide_0 ).
cnf(c_0_78,axiom,
( c_HOL_Oinverse__class_Oinverse(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_inverse__eq__divide_0 ).
cnf(c_0_79,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X1,
inference(spm,[status(thm)],[c_0_73,c_0_56]) ).
cnf(c_0_80,negated_conjecture,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(v_b,v_b,tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_54]),c_0_32])]) ).
cnf(c_0_82,plain,
c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_54]),c_0_32])]) ).
cnf(c_0_83,axiom,
c_HOL_Osgn__class_Osgn(X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
cls_sgn__eq_0 ).
cnf(c_0_84,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_78,c_0_54]) ).
cnf(c_0_85,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(v_b,v_b,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X1,
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_65]),c_0_81]) ).
cnf(c_0_87,plain,
c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Oinverse(c_HOL_Osgn__class_Osgn(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,plain,
c_HOL_Oinverse__class_Oinverse(X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(v_b,v_b,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(rw,[status(thm)],[c_0_84,c_0_80]) ).
cnf(c_0_89,plain,
c_HOL_Otimes__class_Otimes(v_b,c_HOL_Oinverse__class_Odivide(X1,v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_65]) ).
cnf(c_0_90,plain,
c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(v_b,v_b,tc_Complex_Ocomplex),c_HOL_Osgn__class_Osgn(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_91,plain,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(v_b,v_b,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_Complex_Ocomplex),
inference(rw,[status(thm)],[c_0_64,c_0_88]) ).
cnf(c_0_92,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_power__divide_0 ).
cnf(c_0_93,plain,
c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(v_b,c_HOL_Osgn__class_Osgn(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_94,plain,
c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_64,c_0_82]) ).
cnf(c_0_95,plain,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X3,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_54]),c_0_32])]) ).
cnf(c_0_96,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(v_v____,c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Osgn__class_Osgn(v_b,tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_93]),c_0_94]) ).
cnf(c_0_97,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,X2),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,v_na____,tc_Complex_Ocomplex),c_RealVector_Oof__real(X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_95,c_0_60]) ).
cnf(c_0_98,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97]),c_0_93]),c_0_94])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG359-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.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 : 300
% 0.13/0.34 % DateTime : Mon Aug 28 03:31:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.51/0.58 start to proof: theBenchmark
% 114.13/114.20 % Version : CSE_E---1.5
% 114.13/114.20 % Problem : theBenchmark.p
% 114.13/114.20 % Proof found
% 114.13/114.20 % SZS status Theorem for theBenchmark.p
% 114.13/114.20 % SZS output start Proof
% See solution above
% 114.13/114.21 % Total time : 113.590000 s
% 114.13/114.21 % SZS output end Proof
% 114.13/114.21 % Total time : 113.624000 s
%------------------------------------------------------------------------------