TSTP Solution File: SWW287+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW287+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 00:16:55 EDT 2023
% Result : Theorem 0.63s 1.20s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 138
% Syntax : Number of formulae : 171 ( 15 unt; 131 typ; 0 def)
% Number of atoms : 102 ( 75 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 105 ( 43 ~; 45 |; 8 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 193 ( 119 >; 74 *; 0 +; 0 <<)
% Number of predicates : 77 ( 75 usr; 1 prp; 0-5 aty)
% Number of functors : 56 ( 56 usr; 12 con; 0-5 aty)
% Number of variables : 14 ( 0 sgn; 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
v_p: $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,
c_Polynomial_Odegree: ( $i * $i ) > $i ).
tff(decl_28,type,
tc_Nat_Onat: $i ).
tff(decl_29,type,
v_n____: $i ).
tff(decl_30,type,
c_Nat_OSuc: $i > $i ).
tff(decl_31,type,
c_Polynomial_Opoly: ( $i * $i ) > $i ).
tff(decl_32,type,
v_q: $i ).
tff(decl_33,type,
c_Rings_Odvd__class_Odvd: $i > $i ).
tff(decl_34,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_35,type,
hBOOL: $i > $o ).
tff(decl_36,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_37,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_38,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_39,type,
class_Rings_Oidom: $i > $o ).
tff(decl_40,type,
class_Power_Opower: $i > $o ).
tff(decl_41,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_42,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_43,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_44,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_45,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_47,type,
class_Groups_Ozero: $i > $o ).
tff(decl_48,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_49,type,
c_Polynomial_Osynthetic__div: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
c_Polynomial_Opoly__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
c_Polynomial_OpCons: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_53,type,
tc_Int_Oint: $i ).
tff(decl_54,type,
class_Fields_Ofield: $i > $o ).
tff(decl_55,type,
c_Polynomial_Osmult: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
c_fequal: ( $i * $i ) > $i ).
tff(decl_57,type,
c_If: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_59,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_60,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_61,type,
c_Orderings_Oorder_Omono: ( $i * $i * $i * $i ) > $o ).
tff(decl_62,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_64,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Polynomial_Omonom: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_67,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_68,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_69,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_70,type,
class_Orderings_Oord: $i > $o ).
tff(decl_71,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_72,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_73,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_74,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_75,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_76,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_77,type,
class_Groups_Oone: $i > $o ).
tff(decl_78,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_79,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_80,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_81,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_82,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_83,type,
c_Groups_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_84,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_85,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_86,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_87,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_88,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_89,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_90,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_91,type,
c_Polynomial_Opos__poly: ( $i * $i ) > $o ).
tff(decl_92,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_93,type,
class_Rings_Oring: $i > $o ).
tff(decl_94,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_95,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_96,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_97,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_98,type,
class_Rings_Odvd: $i > $o ).
tff(decl_99,type,
class_Lattices_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_100,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_101,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_102,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_103,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_104,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_105,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_106,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_107,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_108,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_109,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_110,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_111,type,
class_Groups_Ouminus: $i > $o ).
tff(decl_112,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_113,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_114,type,
c_Polynomial_Opcompose: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
c_Polynomial_Opdivmod__rel: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_117,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_118,type,
c_Polynomial_Ocoeff: ( $i * $i ) > $i ).
tff(decl_119,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_120,type,
class_Groups_Ominus: $i > $o ).
tff(decl_121,type,
c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_123,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_124,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_125,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_126,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_127,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_128,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_129,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_131,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_132,type,
tc_HOL_Obool: $i ).
tff(decl_133,type,
esk1_0: $i ).
tff(decl_134,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk3_1: $i > $i ).
tff(decl_136,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_137,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_138,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_139,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_140,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_141,type,
esk9_0: $i ).
tff(decl_142,type,
esk10_0: $i ).
tff(decl_143,type,
esk11_0: $i ).
tff(decl_144,type,
esk12_0: $i ).
tff(decl_145,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_146,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_150,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_151,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_152,type,
esk20_3: ( $i * $i * $i ) > $i ).
fof(conj_0,conjecture,
( ! [X3] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
<=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_Suc__eq__plus1,axiom,
! [X8] : c_Nat_OSuc(X8) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X8,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).
fof(fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096,axiom,
( ! [X3] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
=> ( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096) ).
fof(fact_n,axiom,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Nat_OSuc(v_n____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n) ).
fof(fact_dp,axiom,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dp) ).
fof(fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096,axiom,
! [X4] :
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
=> ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X4) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X4) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096) ).
fof(fact_pe,axiom,
v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pe) ).
fof(c_0_7,negated_conjecture,
~ ( ! [X3] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
<=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_8,plain,
! [X1190] : c_Nat_OSuc(X1190) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1190,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).
fof(c_0_9,plain,
( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk11_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) )
& ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk11_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096])])])]) ).
fof(c_0_10,negated_conjecture,
! [X90] :
( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X90) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X90) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X90) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X90) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
cnf(c_0_11,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Nat_OSuc(v_n____),
inference(split_conjunct,[status(thm)],[fact_n]) ).
cnf(c_0_12,plain,
c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk11_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[fact_dp]) ).
fof(c_0_15,plain,
! [X454] :
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X454) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X454) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096])]) ).
cnf(c_0_16,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk11_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(sr,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[fact_pe]) ).
cnf(c_0_22,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk11_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk11_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(rw,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_25,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
inference(rw,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_26,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_17]),c_0_21]) ).
cnf(c_0_27,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk11_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
inference(sr,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_28,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk11_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(csr,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk11_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
inference(rw,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_32,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk11_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
inference(rw,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_34,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_31]),c_0_32]) ).
cnf(c_0_35,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk11_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_33,c_0_24]) ).
cnf(c_0_36,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_34,c_0_29]) ).
cnf(c_0_37,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk11_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_29]),c_0_36]) ).
cnf(c_0_38,plain,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(sr,[status(thm)],[c_0_31,c_0_37]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_38])]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW287+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.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 22:05:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.63/1.20 % Version : CSE_E---1.5
% 0.63/1.20 % Problem : theBenchmark.p
% 0.63/1.20 % Proof found
% 0.63/1.20 % SZS status Theorem for theBenchmark.p
% 0.63/1.20 % SZS output start Proof
% See solution above
% 0.63/1.21 % Total time : 0.591000 s
% 0.63/1.21 % SZS output end Proof
% 0.63/1.21 % Total time : 0.633000 s
%------------------------------------------------------------------------------