TSTP Solution File: SWW232+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW232+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 : n021.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 00:16:39 EDT 2023
% Result : Theorem 138.41s 138.51s
% Output : CNFRefutation 138.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 151
% Syntax : Number of formulae : 164 ( 9 unt; 147 typ; 0 def)
% Number of atoms : 31 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 9 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 225 ( 135 >; 90 *; 0 +; 0 <<)
% Number of predicates : 70 ( 68 usr; 2 prp; 0-3 aty)
% Number of functors : 79 ( 79 usr; 11 con; 0-5 aty)
% Number of variables : 22 ( 2 sgn; 8 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
v_cs____: $i ).
tff(decl_24,type,
tc_Complex_Ocomplex: $i ).
tff(decl_25,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_26,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_27,type,
v_c____: $i ).
tff(decl_28,type,
c_Polynomial_OpCons: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
tc_RealDef_Oreal: $i ).
tff(decl_30,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_31,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
c_Polynomial_Opoly: ( $i * $i ) > $i ).
tff(decl_33,type,
v_p: $i ).
tff(decl_34,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_35,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_37,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_38,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_39,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_40,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_41,type,
class_Groups_Ozero: $i > $o ).
tff(decl_42,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_43,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_44,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_45,type,
class_Rings_Oidom: $i > $o ).
tff(decl_46,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_47,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_48,type,
class_Orderings_Oord: $i > $o ).
tff(decl_49,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_50,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_51,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_52,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_53,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_54,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
tc_Nat_Onat: $i ).
tff(decl_56,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_57,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_58,type,
c_Polynomial_Opoly__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
c_fequal: ( $i * $i ) > $i ).
tff(decl_60,type,
c_If: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
c_Polynomial_Osynthetic__div: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_64,type,
c_Polynomial_Osmult: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Polynomial_Omonom: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_68,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_69,type,
class_Rings_Oring: $i > $o ).
tff(decl_70,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_71,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_72,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_73,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_74,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_75,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_76,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_77,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_78,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_79,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_80,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_81,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_82,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_83,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_84,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_85,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_86,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_87,type,
c_Polynomial_Opcompose: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_89,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_90,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_91,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_92,type,
class_Groups_Oone: $i > $o ).
tff(decl_93,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_94,type,
hBOOL: $i > $o ).
tff(decl_95,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_96,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_97,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_98,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_99,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_100,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_101,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_102,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_103,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_104,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_105,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_106,type,
c_Groups_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_107,type,
c_Polynomial_Opos__poly: ( $i * $i ) > $o ).
tff(decl_108,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_109,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_110,type,
c_Nat_OSuc: $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_Power_Opower: $i > $o ).
tff(decl_114,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_115,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_116,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_117,type,
c_Complex_Oii: $i ).
tff(decl_118,type,
c_Rings_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_119,type,
class_Rings_Odvd: $i > $o ).
tff(decl_120,type,
class_Fields_Ofield: $i > $o ).
tff(decl_121,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(decl_122,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_123,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_124,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_125,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_126,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_127,type,
tc_HOL_Obool: $i ).
tff(decl_128,type,
v_da____: $i ).
tff(decl_129,type,
v_aa____: $i ).
tff(decl_130,type,
v_thesis____: $o ).
tff(decl_131,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_132,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_133,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_134,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_136,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_137,type,
esk7_1: $i > $i ).
tff(decl_138,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_139,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_140,type,
esk10_1: $i > $i ).
tff(decl_141,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_142,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_143,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_145,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_146,type,
esk16_1: $i > $i ).
tff(decl_147,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_150,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_151,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk22_1: $i > $i ).
tff(decl_153,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_155,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_156,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_157,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_159,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_161,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_162,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_163,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk34_1: $i > $i ).
tff(decl_165,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_166,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_167,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk38_1: $i > $i ).
fof(fact_pCons_Ohyps,axiom,
! [X4,X5] :
( v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
=> ? [X6] :
! [X7] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7))
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X4,v_cs____)),X7))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pCons_Ohyps) ).
fof(conj_0,hypothesis,
( ? [X6] :
! [X7] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7))
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X7))) )
=> v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(fact_H,axiom,
v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_H) ).
fof(c_0_4,plain,
! [X93,X94,X96] :
( v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk2_2(X93,X94),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X96))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X94,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X93,v_cs____)),X96))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons_Ohyps])])])])]) ).
fof(c_0_5,hypothesis,
! [X2958] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2958,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk38_1(X2958)))
| v_thesis____ )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),esk38_1(X2958))))
| v_thesis____ ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])])]) ).
fof(c_0_6,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
cnf(c_0_7,plain,
( v_cs____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,v_cs____)),X3)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk2_2(X1,X2),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
v_cs____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[fact_H]) ).
cnf(c_0_9,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk38_1(X1)))
| v_thesis____ ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
( v_thesis____
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),esk38_1(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,v_cs____)),X3)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk2_2(X2,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)) ),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk38_1(X1))),
inference(sr,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,hypothesis,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),esk38_1(X1)))),
inference(sr,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,v_cs____)),esk38_1(esk2_2(X2,X1))))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,hypothesis,
$false,
inference(spm,[status(thm)],[c_0_14,c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW232+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.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 : Sun Aug 27 18:13:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 138.41/138.51 % Version : CSE_E---1.5
% 138.41/138.51 % Problem : theBenchmark.p
% 138.41/138.51 % Proof found
% 138.41/138.51 % SZS status Theorem for theBenchmark.p
% 138.41/138.51 % SZS output start Proof
% See solution above
% 138.41/138.52 % Total time : 137.835000 s
% 138.41/138.52 % SZS output end Proof
% 138.41/138.52 % Total time : 137.882000 s
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