TSTP Solution File: SWW269+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW269+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 : n027.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 00:16:50 EDT 2023
% Result : Theorem 24.53s 24.66s
% Output : CNFRefutation 24.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 167
% Syntax : Number of formulae : 199 ( 19 unt; 155 typ; 0 def)
% Number of atoms : 84 ( 61 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 67 ( 27 ~; 29 |; 3 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 240 ( 142 >; 98 *; 0 +; 0 <<)
% Number of predicates : 84 ( 82 usr; 1 prp; 0-5 aty)
% Number of functors : 73 ( 73 usr; 13 con; 0-5 aty)
% Number of variables : 38 ( 0 sgn; 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
v_d____: $i ).
tff(decl_24,type,
tc_Complex_Ocomplex: $i ).
tff(decl_25,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_26,type,
v_ds____: $i ).
tff(decl_27,type,
c_Polynomial_OpCons: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
c_Polynomial_Opoly: ( $i * $i ) > $i ).
tff(decl_29,type,
class_Groups_Ozero: $i > $o ).
tff(decl_30,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_31,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_32,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
v_p: $i ).
tff(decl_34,type,
c_Polynomial_Opoly__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
c_fequal: $i ).
tff(decl_36,type,
c_If: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
v_c____: $i ).
tff(decl_38,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_39,type,
class_Rings_Oidom: $i > $o ).
tff(decl_40,type,
v_cs____: $i ).
tff(decl_41,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
tc_Nat_Onat: $i ).
tff(decl_43,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant: ( $i * $i * $i ) > $o ).
tff(decl_44,type,
c_Polynomial_Osynthetic__div: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Polynomial_Opcompose: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
c_Polynomial_Omonom: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
hBOOL: $i > $o ).
tff(decl_48,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_49,type,
c_Nat_OSuc: $i > $i ).
tff(decl_50,type,
c_Polynomial_Odegree: ( $i * $i ) > $i ).
tff(decl_51,type,
class_HOL_Oequal: $i > $o ).
tff(decl_52,type,
c_HOL_Oequal__class_Oequal: $i > $i ).
tff(decl_53,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_Polynomial_Ocoeff: ( $i * $i ) > $i ).
tff(decl_55,type,
c_Polynomial_Osmult: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_57,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_58,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_59,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_60,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_61,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_62,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_63,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_64,type,
c_Groups_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Nat_Onat_Onat__size: $i > $i ).
tff(decl_66,type,
c_Nat_Onat_Onat__case: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(decl_68,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_70,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_71,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_72,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_73,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_74,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
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_Omult__zero: $i > $o ).
tff(decl_79,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_80,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_81,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_82,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_83,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_84,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_85,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_86,type,
class_Orderings_Oord: $i > $o ).
tff(decl_87,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_88,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_89,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_90,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_91,type,
c_Polynomial_OAbs__poly: ( $i * $i ) > $i ).
tff(decl_92,type,
c_fFalse: $i ).
tff(decl_93,type,
c_HOL_Obool_Obool__size: $i > $i ).
tff(decl_94,type,
c_fTrue: $i ).
tff(decl_95,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_96,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_97,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_98,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_99,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_100,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_101,type,
class_Fields_Ofield: $i > $o ).
tff(decl_102,type,
c_Polynomial_Opdivmod__rel: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_103,type,
c_Polynomial_Opos__poly: ( $i * $i ) > $o ).
tff(decl_104,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_105,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_106,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_108,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_109,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_110,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_111,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_112,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_113,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_114,type,
class_Groups_Oone: $i > $o ).
tff(decl_115,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_116,type,
class_Rings_Oring: $i > $o ).
tff(decl_117,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_118,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_119,type,
c_Groups_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_120,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_121,type,
c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_123,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_124,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_125,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_126,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_127,type,
class_Lattices_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_128,type,
class_Groups_Ominus: $i > $o ).
tff(decl_129,type,
class_Groups_Ouminus: $i > $o ).
tff(decl_130,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_131,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_132,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_133,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_134,type,
c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_135,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_136,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_137,type,
class_Groups_Osgn__if: $i > $o ).
tff(decl_138,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_139,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_140,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_141,type,
c_Polynomial_Opoly__gcd: ( $i * $i * $i ) > $i ).
tff(decl_142,type,
c_Rings_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_143,type,
c_Rings_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_144,type,
class_Rings_Odvd: $i > $o ).
tff(decl_145,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_146,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_147,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_148,type,
tc_HOL_Obool: $i ).
tff(decl_149,type,
class_Enum_Oenum: $i > $o ).
tff(decl_150,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk2_0: $i ).
tff(decl_152,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_154,type,
esk5_1: $i > $i ).
tff(decl_155,type,
esk6_1: $i > $i ).
tff(decl_156,type,
esk7_0: $i ).
tff(decl_157,type,
esk8_1: $i > $i ).
tff(decl_158,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_159,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_161,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_162,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk14_1: $i > $i ).
tff(decl_164,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_167,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_172,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_174,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_175,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_176,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
fof(fact_pCons_Oprems,axiom,
! [X4] :
( X4 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X4) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pCons_Oprems) ).
fof(fact_add__0,axiom,
! [X9,X5] :
( class_Groups_Ocomm__monoid__add(X5)
=> c_Groups_Oplus__class_Oplus(X5,c_Groups_Ozero__class_Ozero(X5),X9) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__0) ).
fof(fact_pCons_Ohyps,axiom,
( ! [X4] :
( X4 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_ds____),X4) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
=> v_ds____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pCons_Ohyps) ).
fof(fact__096d_A_061_A0_096,axiom,
v_d____ = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096d_A_061_A0_096) ).
fof(fact_poly__pCons,axiom,
! [X16,X20,X9,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> hAPP(c_Polynomial_Opoly(X5,c_Polynomial_OpCons(X5,X9,X20)),X16) = c_Groups_Oplus__class_Oplus(X5,X9,c_Groups_Otimes__class_Otimes(X5,X16,hAPP(c_Polynomial_Opoly(X5,X20),X16))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__pCons) ).
fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ocomm__monoid__add) ).
fof(fact_pCons__0__0,axiom,
! [X5] :
( class_Groups_Ozero(X5)
=> c_Polynomial_OpCons(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pCons__0__0) ).
fof(fact_mult__eq__0__iff,axiom,
! [X12,X7,X5] :
( class_Rings_Oring__no__zero__divisors(X5)
=> ( c_Groups_Otimes__class_Otimes(X5,X7,X12) = c_Groups_Ozero__class_Ozero(X5)
<=> ( X7 = c_Groups_Ozero__class_Ozero(X5)
| X12 = c_Groups_Ozero__class_Ozero(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__eq__0__iff) ).
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(conj_0,conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom,
class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors) ).
fof(c_0_12,plain,
! [X92] :
( X92 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X92) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons_Oprems])]) ).
fof(c_0_13,plain,
! [X303,X304] :
( ~ class_Groups_Ocomm__monoid__add(X304)
| c_Groups_Oplus__class_Oplus(X304,c_Groups_Ozero__class_Ozero(X304),X303) = X303 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0])]) ).
fof(c_0_14,plain,
( ( esk2_0 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_ds____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
& ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_ds____),esk2_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_ds____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons_Ohyps])])])]) ).
cnf(c_0_15,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
v_d____ = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[fact__096d_A_061_A0_096]) ).
fof(c_0_17,plain,
! [X708,X709,X710,X711] :
( ~ class_Rings_Ocomm__semiring__0(X711)
| hAPP(c_Polynomial_Opoly(X711,c_Polynomial_OpCons(X711,X710,X709)),X708) = c_Groups_Oplus__class_Oplus(X711,X710,c_Groups_Otimes__class_Otimes(X711,X708,hAPP(c_Polynomial_Opoly(X711,X709),X708))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__pCons])]) ).
cnf(c_0_18,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocomm__monoid__add]) ).
fof(c_0_20,plain,
! [X93] :
( ~ class_Groups_Ozero(X93)
| c_Polynomial_OpCons(X93,c_Groups_Ozero__class_Ozero(X93),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X93))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X93)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons__0__0])]) ).
cnf(c_0_21,plain,
( v_ds____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| esk2_0 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,plain,
! [X795,X796,X797] :
( ( c_Groups_Otimes__class_Otimes(X797,X796,X795) != c_Groups_Ozero__class_Ozero(X797)
| X796 = c_Groups_Ozero__class_Ozero(X797)
| X795 = c_Groups_Ozero__class_Ozero(X797)
| ~ class_Rings_Oring__no__zero__divisors(X797) )
& ( X796 != c_Groups_Ozero__class_Ozero(X797)
| c_Groups_Otimes__class_Otimes(X797,X796,X795) = c_Groups_Ozero__class_Ozero(X797)
| ~ class_Rings_Oring__no__zero__divisors(X797) )
& ( X795 != c_Groups_Ozero__class_Ozero(X797)
| c_Groups_Otimes__class_Otimes(X797,X796,X795) = c_Groups_Ozero__class_Ozero(X797)
| ~ class_Rings_Oring__no__zero__divisors(X797) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__0__iff])])]) ).
cnf(c_0_23,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X1) = v_d____
| X1 = v_d____ ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16]) ).
cnf(c_0_24,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X2,X3)),X4) = c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Otimes__class_Otimes(X1,X4,hAPP(c_Polynomial_Opoly(X1,X3),X4)))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_d____,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]) ).
cnf(c_0_26,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
fof(c_0_27,negated_conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_28,plain,
( c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_ds____
| esk2_0 != v_d____ ),
inference(rw,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_30,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
cnf(c_0_31,plain,
( v_ds____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_ds____),esk2_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_32,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| X3 = c_Groups_Ozero__class_Ozero(X1)
| c_Groups_Otimes__class_Otimes(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Oring__no__zero__divisors(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
( c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X1,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_ds____),X1)) = v_d____
| X1 = v_d____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_34,plain,
class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors]) ).
cnf(c_0_35,negated_conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
( c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) = v_ds____
| esk2_0 != v_d____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_16]),c_0_30])]) ).
cnf(c_0_37,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_ds____
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_ds____),esk2_0) != v_d____ ),
inference(rw,[status(thm)],[c_0_31,c_0_16]) ).
cnf(c_0_38,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_ds____),X1) = v_d____
| X1 = v_d____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_16]),c_0_16]),c_0_16]),c_0_34])]) ).
cnf(c_0_39,negated_conjecture,
esk2_0 != v_d____,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_29]) ).
cnf(c_0_40,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_ds____,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_41,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_16]),c_0_30])]) ).
cnf(c_0_42,negated_conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) != v_ds____,
inference(rw,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_43,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_40]),c_0_40]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW269+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
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 20:20:21 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 24.53/24.66 % Version : CSE_E---1.5
% 24.53/24.66 % Problem : theBenchmark.p
% 24.53/24.66 % Proof found
% 24.53/24.66 % SZS status Theorem for theBenchmark.p
% 24.53/24.66 % SZS output start Proof
% See solution above
% 24.65/24.67 % Total time : 24.071000 s
% 24.65/24.67 % SZS output end Proof
% 24.65/24.67 % Total time : 24.111000 s
%------------------------------------------------------------------------------