TSTP Solution File: SWW253+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW253+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 : n024.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 00:16:44 EDT 2023
% Result : Theorem 10.14s 10.19s
% Output : CNFRefutation 10.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 175
% Syntax : Number of formulae : 194 ( 13 unt; 168 typ; 0 def)
% Number of atoms : 41 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 10 |; 1 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 260 ( 153 >; 107 *; 0 +; 0 <<)
% Number of predicates : 81 ( 79 usr; 1 prp; 0-3 aty)
% Number of functors : 89 ( 89 usr; 15 con; 0-4 aty)
% Number of variables : 29 ( 0 sgn; 18 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
tc_Complex_Ocomplex: $i ).
tff(decl_24,type,
v_q____: $i ).
tff(decl_25,type,
c_Polynomial_Opoly: ( $i * $i ) > $i ).
tff(decl_26,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_27,type,
v_p: $i ).
tff(decl_28,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
v_w____: $i ).
tff(decl_30,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_31,type,
c_Rings_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_32,type,
c_Polynomial_Osmult: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_34,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_35,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_36,type,
c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_38,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_40,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_41,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_42,type,
tc_RealDef_Oreal: $i ).
tff(decl_43,type,
class_Fields_Ofield: $i > $o ).
tff(decl_44,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_45,type,
v_pa____: $i ).
tff(decl_46,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_47,type,
class_Groups_Ozero: $i > $o ).
tff(decl_48,type,
tc_Nat_Onat: $i ).
tff(decl_49,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_50,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_51,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_52,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_53,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_54,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_55,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_56,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_57,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_58,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_59,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_60,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_61,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_62,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_63,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_64,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_65,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_66,type,
class_Rings_Oidom: $i > $o ).
tff(decl_67,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_68,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_69,type,
v_c____: $i ).
tff(decl_70,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_71,type,
class_Groups_Oone: $i > $o ).
tff(decl_72,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_73,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_76,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_77,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_78,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_79,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_80,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_82,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_83,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_84,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_85,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_86,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_87,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_88,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_89,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_90,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_91,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_92,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_93,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_94,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_95,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_96,type,
class_Orderings_Oord: $i > $o ).
tff(decl_97,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_98,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_99,type,
hBOOL: $i > $o ).
tff(decl_100,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_101,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_102,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_103,type,
c_SEQ_OBseq: ( $i * $i ) > $o ).
tff(decl_104,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(decl_105,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_106,type,
c_Complex_Oexpi: $i > $i ).
tff(decl_107,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_108,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_109,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_111,type,
tc_Int_Oint: $i ).
tff(decl_112,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_113,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_114,type,
class_Power_Opower: $i > $o ).
tff(decl_115,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_116,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_117,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_118,type,
c_Polynomial_Omonom: ( $i * $i * $i ) > $i ).
tff(decl_119,type,
c_Complex_Orcis: ( $i * $i ) > $i ).
tff(decl_120,type,
c_Transcendental_Oln: $i > $i ).
tff(decl_121,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
c_Rings_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_123,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_124,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_125,type,
class_Rings_Odvd: $i > $o ).
tff(decl_126,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_127,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_128,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_129,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_130,type,
class_Rings_Oring: $i > $o ).
tff(decl_131,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_132,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_133,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_134,type,
tc_HOL_Obool: $i ).
tff(decl_135,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_136,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_137,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_138,type,
esk2_0: $i ).
tff(decl_139,type,
esk3_0: $i ).
tff(decl_140,type,
esk4_1: $i > $i ).
tff(decl_141,type,
esk5_1: $i > $i ).
tff(decl_142,type,
esk6_1: $i > $i ).
tff(decl_143,type,
esk7_0: $i ).
tff(decl_144,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_145,type,
esk9_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_146,type,
esk10_0: $i ).
tff(decl_147,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk13_0: $i ).
tff(decl_150,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk16_1: $i > $i ).
tff(decl_153,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_155,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_156,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk22_1: $i > $i ).
tff(decl_159,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_161,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_162,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_164,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_166,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_167,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk32_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_169,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_170,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_172,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_174,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_175,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_176,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_177,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_178,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_180,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_181,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_182,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_183,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_184,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_185,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_186,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_187,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_188,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_189,type,
esk53_3: ( $i * $i * $i ) > $i ).
fof(conj_0,conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X11,X6,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),X11) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X11),X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(fact_pqc0,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pqc0) ).
fof(fact_poly__smult,axiom,
! [X10,X31,X6,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> hAPP(c_Polynomial_Opoly(X7,c_Polynomial_Osmult(X7,X6,X31)),X10) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X6),hAPP(c_Polynomial_Opoly(X7,X31),X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__smult) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(fact_complex__divide__def,axiom,
! [X9,X10] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X10,X9) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X10),c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__divide__def) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(c_0_7,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_8,negated_conjecture,
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )
& ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
fof(c_0_9,plain,
! [X116,X117,X118] :
( ~ class_Rings_Ocomm__semiring__1(X118)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X118),X117),X116) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X118),X116),X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J])]) ).
cnf(c_0_10,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[fact_pqc0]) ).
fof(c_0_12,plain,
! [X481,X482,X483,X484] :
( ~ class_Rings_Ocomm__semiring__0(X484)
| hAPP(c_Polynomial_Opoly(X484,c_Polynomial_Osmult(X484,X483,X482)),X481) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X484),X483),hAPP(c_Polynomial_Opoly(X484,X482),X481)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__smult])]) ).
cnf(c_0_13,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
fof(c_0_15,plain,
! [X479,X480] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X480,X479) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X480),c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X479)),
inference(variable_rename,[status(thm)],[fact_complex__divide__def]) ).
cnf(c_0_16,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_18,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Polynomial_Osmult(X1,X2,X3)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Polynomial_Opoly(X1,X3),X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
cnf(c_0_20,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X2)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_11]),c_0_11]) ).
cnf(c_0_23,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20]),c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)),v_w____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(sr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_18]),c_0_20]),c_0_21]),c_0_19])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW253+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 20:22:23 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 10.14/10.19 % Version : CSE_E---1.5
% 10.14/10.19 % Problem : theBenchmark.p
% 10.14/10.19 % Proof found
% 10.14/10.19 % SZS status Theorem for theBenchmark.p
% 10.14/10.19 % SZS output start Proof
% See solution above
% 10.14/10.20 % Total time : 9.583000 s
% 10.14/10.20 % SZS output end Proof
% 10.14/10.20 % Total time : 9.626000 s
%------------------------------------------------------------------------------