TSTP Solution File: SWW258+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW258+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 : Fri Sep 1 00:16:45 EDT 2023
% Result : Theorem 10.83s 10.99s
% Output : CNFRefutation 10.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 161
% Syntax : Number of formulae : 181 ( 16 unt; 151 typ; 0 def)
% Number of atoms : 63 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 61 ( 28 ~; 23 |; 2 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 186 ( 123 >; 63 *; 0 +; 0 <<)
% Number of predicates : 79 ( 77 usr; 1 prp; 0-3 aty)
% Number of functors : 74 ( 74 usr; 28 con; 0-4 aty)
% Number of variables : 30 ( 1 sgn; 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
tc_RealDef_Oreal: $i ).
tff(decl_24,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_25,type,
v_m____: $i ).
tff(decl_26,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
v_w____: $i ).
tff(decl_28,type,
tc_Complex_Ocomplex: $i ).
tff(decl_29,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_30,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
v_k____: $i ).
tff(decl_32,type,
tc_Nat_Onat: $i ).
tff(decl_33,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_34,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_35,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_36,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_37,type,
c_Rings_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_38,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_39,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_40,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_41,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_42,type,
class_Fields_Ofield: $i > $o ).
tff(decl_43,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_44,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_45,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
v_a____: $i ).
tff(decl_47,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_48,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_49,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_50,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_51,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_52,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_53,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_54,type,
class_Power_Opower: $i > $o ).
tff(decl_55,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_56,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_57,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_58,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_59,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_60,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_61,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_62,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_63,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_64,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_65,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_66,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_67,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_68,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_69,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_70,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_71,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_72,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_73,type,
v_s____: $i ).
tff(decl_74,type,
c_Polynomial_Opoly: ( $i * $i ) > $i ).
tff(decl_75,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_76,type,
v_p: $i ).
tff(decl_77,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
class_Groups_Ozero: $i > $o ).
tff(decl_79,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_80,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_81,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_82,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_83,type,
class_Groups_Oone: $i > $o ).
tff(decl_84,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_85,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_86,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_87,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_88,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_89,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_90,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
c_Groups_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_92,type,
v_pa____: $i ).
tff(decl_93,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_94,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_95,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_96,type,
class_Rings_Oidom: $i > $o ).
tff(decl_97,type,
class_Rings_Oring: $i > $o ).
tff(decl_98,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_99,type,
hBOOL: $i > $o ).
tff(decl_100,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_101,type,
v_c____: $i ).
tff(decl_102,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_103,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_104,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_105,type,
v_q____: $i ).
tff(decl_106,type,
c_Polynomial_Osmult: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_108,type,
tc_Int_Oint: $i ).
tff(decl_109,type,
c_Polynomial_OpCons: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_111,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_112,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_113,type,
c_Polynomial_Omonom: ( $i * $i * $i ) > $i ).
tff(decl_114,type,
c_Polynomial_Osynthetic__div: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
c_Polynomial_Opcompose: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
c_Complex_Oii: $i ).
tff(decl_117,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_118,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_119,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_120,type,
class_Orderings_Oord: $i > $o ).
tff(decl_121,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_122,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_123,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_124,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(decl_125,type,
c_Polynomial_Opos__poly: ( $i * $i ) > $o ).
tff(decl_126,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_127,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_128,type,
class_Lattices_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_129,type,
class_Groups_Ominus: $i > $o ).
tff(decl_130,type,
class_Groups_Ouminus: $i > $o ).
tff(decl_131,type,
c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_132,type,
c_Rings_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_133,type,
class_Groups_Osgn__if: $i > $o ).
tff(decl_134,type,
class_Rings_Odvd: $i > $o ).
tff(decl_135,type,
c_Nat_OSuc: $i > $i ).
tff(decl_136,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_137,type,
tc_HOL_Obool: $i ).
tff(decl_138,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_139,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_140,type,
esk3_0: $i ).
tff(decl_141,type,
esk4_0: $i ).
tff(decl_142,type,
esk5_1: $i > $i ).
tff(decl_143,type,
esk6_1: $i > $i ).
tff(decl_144,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_145,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_146,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_147,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
esk11_0: $i ).
tff(decl_149,type,
esk12_1: $i > $i ).
tff(decl_150,type,
esk13_0: $i ).
tff(decl_151,type,
esk14_0: $i ).
tff(decl_152,type,
esk15_0: $i ).
tff(decl_153,type,
esk16_0: $i ).
tff(decl_154,type,
esk17_0: $i ).
tff(decl_155,type,
esk18_0: $i ).
tff(decl_156,type,
esk19_0: $i ).
tff(decl_157,type,
esk20_0: $i ).
tff(decl_158,type,
esk21_0: $i ).
tff(decl_159,type,
esk22_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_160,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_161,type,
esk24_0: $i ).
tff(decl_162,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk26_1: $i > $i ).
tff(decl_164,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_167,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_170,type,
esk33_1: $i > $i ).
tff(decl_171,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_172,type,
esk35_2: ( $i * $i ) > $i ).
fof(fact_inverse__positive__iff__positive,axiom,
! [X25,X6] :
( class_Fields_Olinordered__field__inverse__zero(X6)
=> ( c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),c_Rings_Oinverse__class_Oinverse(X6,X25))
<=> c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_inverse__positive__iff__positive) ).
fof(fact_real__mult__order,axiom,
! [X8,X10] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X10)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X8)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X10),X8)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__order) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).
fof(fact_m_I1_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_m_I1_J) ).
fof(fact_zero__less__power,axiom,
! [X4,X5,X6] :
( class_Rings_Olinordered__semidom(X6)
=> ( c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X5)
=> c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),hAPP(hAPP(c_Power_Opower__class_Opower(X6),X5),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__power) ).
fof(fact_zero__less__norm__iff,axiom,
! [X13,X6] :
( class_RealVector_Oreal__normed__vector(X6)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X13))
<=> X13 != c_Groups_Ozero__class_Ozero(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__norm__iff) ).
fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(fact_w0,axiom,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_w0) ).
fof(c_0_10,plain,
! [X560,X561] :
( ( ~ c_Orderings_Oord__class_Oless(X561,c_Groups_Ozero__class_Ozero(X561),c_Rings_Oinverse__class_Oinverse(X561,X560))
| c_Orderings_Oord__class_Oless(X561,c_Groups_Ozero__class_Ozero(X561),X560)
| ~ class_Fields_Olinordered__field__inverse__zero(X561) )
& ( ~ c_Orderings_Oord__class_Oless(X561,c_Groups_Ozero__class_Ozero(X561),X560)
| c_Orderings_Oord__class_Oless(X561,c_Groups_Ozero__class_Ozero(X561),c_Rings_Oinverse__class_Oinverse(X561,X560))
| ~ class_Fields_Olinordered__field__inverse__zero(X561) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__positive__iff__positive])])]) ).
fof(c_0_11,plain,
! [X836,X837] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X837)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X836)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X837),X836)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__order])]) ).
fof(c_0_12,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_13,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
| ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]) ).
cnf(c_0_16,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(split_conjunct,[status(thm)],[fact_m_I1_J]) ).
fof(c_0_19,plain,
! [X515,X516,X517] :
( ~ class_Rings_Olinordered__semidom(X517)
| ~ c_Orderings_Oord__class_Oless(X517,c_Groups_Ozero__class_Ozero(X517),X516)
| c_Orderings_Oord__class_Oless(X517,c_Groups_Ozero__class_Ozero(X517),hAPP(hAPP(c_Power_Opower__class_Opower(X517),X516),X515)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power])]) ).
fof(c_0_20,plain,
! [X111,X112] :
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X112,X111))
| X111 != c_Groups_Ozero__class_Ozero(X112)
| ~ class_RealVector_Oreal__normed__vector(X112) )
& ( X111 = c_Groups_Ozero__class_Ozero(X112)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X112,X111))
| ~ class_RealVector_Oreal__normed__vector(X112) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__norm__iff])])]) ).
cnf(c_0_21,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_22,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
| ~ class_Rings_Olinordered__semidom(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semidom]) ).
cnf(c_0_24,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(c_0_26,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_27,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[fact_w0]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW258+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.30 % Computer : n008.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Sun Aug 27 17:53:02 EDT 2023
% 0.12/0.30 % CPUTime :
% 0.15/0.56 start to proof: theBenchmark
% 10.83/10.99 % Version : CSE_E---1.5
% 10.83/10.99 % Problem : theBenchmark.p
% 10.83/10.99 % Proof found
% 10.83/10.99 % SZS status Theorem for theBenchmark.p
% 10.83/10.99 % SZS output start Proof
% See solution above
% 10.96/11.01 % Total time : 10.394000 s
% 10.96/11.01 % SZS output end Proof
% 10.96/11.01 % Total time : 10.431000 s
%------------------------------------------------------------------------------