TSTP Solution File: SWW254+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW254+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 : n011.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 1.15s 1.41s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 182
% Syntax : Number of formulae : 212 ( 25 unt; 170 typ; 0 def)
% Number of atoms : 156 ( 15 equ)
% Maximal formula atoms : 62 ( 3 avg)
% Number of connectives : 184 ( 70 ~; 72 |; 22 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 273 ( 155 >; 118 *; 0 +; 0 <<)
% Number of predicates : 76 ( 74 usr; 1 prp; 0-3 aty)
% Number of functors : 96 ( 96 usr; 15 con; 0-4 aty)
% Number of variables : 47 ( 4 sgn; 31 !; 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,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_30,type,
c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_32,type,
tc_RealDef_Oreal: $i ).
tff(decl_33,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_34,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_35,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_36,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_37,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_39,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_40,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_41,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_42,type,
v_pa____: $i ).
tff(decl_43,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_44,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_45,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_46,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_47,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_48,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_49,type,
c_Rings_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_50,type,
c_Polynomial_Osmult: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
v_w____: $i ).
tff(decl_52,type,
c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_53,type,
v_c____: $i ).
tff(decl_54,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_55,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_56,type,
class_Rings_Oidom: $i > $o ).
tff(decl_57,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_58,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_60,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_61,type,
class_Fields_Ofield: $i > $o ).
tff(decl_62,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_63,type,
class_Groups_Osgn__if: $i > $o ).
tff(decl_64,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
tc_Nat_Onat: $i ).
tff(decl_66,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_67,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_68,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_69,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_70,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_71,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_72,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_73,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_74,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_75,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_76,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_77,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_78,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_79,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_80,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_81,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_82,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_83,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_84,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_85,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_86,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_87,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_88,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_89,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_90,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_91,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_92,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_93,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_94,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_95,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_96,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_97,type,
class_Groups_Ozero: $i > $o ).
tff(decl_98,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_99,type,
class_Orderings_Oord: $i > $o ).
tff(decl_100,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_101,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_102,type,
class_Groups_Oone: $i > $o ).
tff(decl_103,type,
hBOOL: $i > $o ).
tff(decl_104,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_105,type,
c_SEQ_OBseq: ( $i * $i ) > $o ).
tff(decl_106,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(decl_107,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_108,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_109,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_110,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_111,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_112,type,
tc_Int_Oint: $i ).
tff(decl_113,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_114,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_115,type,
class_Power_Opower: $i > $o ).
tff(decl_116,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_117,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_118,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_119,type,
c_Polynomial_Omonom: ( $i * $i * $i ) > $i ).
tff(decl_120,type,
c_Complex_Orcis: ( $i * $i ) > $i ).
tff(decl_121,type,
c_Transcendental_Oln: $i > $i ).
tff(decl_122,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
c_Complex_Oexpi: $i > $i ).
tff(decl_124,type,
c_Rings_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_125,type,
class_Rings_Odvd: $i > $o ).
tff(decl_126,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_127,type,
c_Nat_OSuc: $i > $i ).
tff(decl_128,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_129,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_130,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_131,type,
tc_HOL_Obool: $i ).
tff(decl_132,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_133,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_134,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk2_1: $i > $i ).
tff(decl_136,type,
esk3_1: $i > $i ).
tff(decl_137,type,
esk4_0: $i ).
tff(decl_138,type,
esk5_0: $i ).
tff(decl_139,type,
esk6_0: $i ).
tff(decl_140,type,
esk7_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_141,type,
esk8_0: $i ).
tff(decl_142,type,
esk9_1: $i > $i ).
tff(decl_143,type,
esk10_0: $i ).
tff(decl_144,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_145,type,
esk12_1: $i > $i ).
tff(decl_146,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_150,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_153,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_155,type,
esk22_1: $i > $i ).
tff(decl_156,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_159,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_161,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_162,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_165,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_167,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_169,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_172,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_174,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_175,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_176,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_178,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_179,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_180,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_181,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_182,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_183,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_184,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_185,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_186,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_187,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_188,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_189,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_190,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_191,type,
esk58_3: ( $i * $i * $i ) > $i ).
fof(fact_less__le__not__le,axiom,
! [X24,X7,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X7,X24)
<=> ( c_Orderings_Oord__class_Oless__eq(X6,X7,X24)
& ~ c_Orderings_Oord__class_Oless__eq(X6,X24,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__le__not__le) ).
fof(fact_cq0,axiom,
! [X15] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X15))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cq0) ).
fof(conj_0,conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
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(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(fact_q_I2_J,axiom,
! [X3] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X3) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_q_I2_J) ).
fof(fact_divide__less__eq,axiom,
! [X8,X33,X9,X6] :
( class_Fields_Olinordered__field__inverse__zero(X6)
=> ( c_Orderings_Oord__class_Oless(X6,c_Rings_Oinverse__class_Odivide(X6,X9,X33),X8)
<=> ( ( c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X33)
=> c_Orderings_Oord__class_Oless(X6,X9,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X33)) )
& ( ~ c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X33)
=> ( ( c_Orderings_Oord__class_Oless(X6,X33,c_Groups_Ozero__class_Ozero(X6))
=> c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X33),X9) )
& ( ~ c_Orderings_Oord__class_Oless(X6,X33,c_Groups_Ozero__class_Ozero(X6))
=> c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X8) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__less__eq) ).
fof(fact_real__mult__1,axiom,
! [X19] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X19) = X19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__1) ).
fof(fact_zero__less__norm__iff,axiom,
! [X7,X6] :
( class_RealVector_Oreal__normed__vector(X6)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X7))
<=> X7 != c_Groups_Ozero__class_Ozero(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__norm__iff) ).
fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(fact_pc0,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pc0) ).
fof(c_0_12,plain,
! [X24,X7,X6] :
( class_Orderings_Opreorder(X6)
=> ( c_Orderings_Oord__class_Oless(X6,X7,X24)
<=> ( c_Orderings_Oord__class_Oless__eq(X6,X7,X24)
& ~ c_Orderings_Oord__class_Oless__eq(X6,X24,X7) ) ) ),
inference(fof_simplification,[status(thm)],[fact_less__le__not__le]) ).
fof(c_0_13,plain,
! [X173] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X173))),
inference(variable_rename,[status(thm)],[fact_cq0]) ).
fof(c_0_14,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_15,plain,
! [X1311,X1312,X1313] :
( ( c_Orderings_Oord__class_Oless__eq(X1313,X1312,X1311)
| ~ c_Orderings_Oord__class_Oless(X1313,X1312,X1311)
| ~ class_Orderings_Opreorder(X1313) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X1313,X1311,X1312)
| ~ c_Orderings_Oord__class_Oless(X1313,X1312,X1311)
| ~ class_Orderings_Opreorder(X1313) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X1313,X1312,X1311)
| c_Orderings_Oord__class_Oless__eq(X1313,X1311,X1312)
| c_Orderings_Oord__class_Oless(X1313,X1312,X1311)
| ~ class_Orderings_Opreorder(X1313) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
cnf(c_0_16,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X1))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,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_18,negated_conjecture,
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) )
& ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ) ),
inference(fof_nnf,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X1))),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
fof(c_0_22,plain,
! [X182] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X182) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,X182)),
inference(variable_rename,[status(thm)],[fact_q_I2_J]) ).
fof(c_0_23,plain,
! [X8,X33,X9,X6] :
( class_Fields_Olinordered__field__inverse__zero(X6)
=> ( c_Orderings_Oord__class_Oless(X6,c_Rings_Oinverse__class_Odivide(X6,X9,X33),X8)
<=> ( ( c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X33)
=> c_Orderings_Oord__class_Oless(X6,X9,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X33)) )
& ( ~ c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X33)
=> ( ( c_Orderings_Oord__class_Oless(X6,X33,c_Groups_Ozero__class_Ozero(X6))
=> c_Orderings_Oord__class_Oless(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X8),X33),X9) )
& ( ~ c_Orderings_Oord__class_Oless(X6,X33,c_Groups_Ozero__class_Ozero(X6))
=> c_Orderings_Oord__class_Oless(X6,c_Groups_Ozero__class_Ozero(X6),X8) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_divide__less__eq]) ).
cnf(c_0_24,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_26,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X1) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,plain,
! [X1072,X1073,X1074,X1075] :
( ( ~ c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1073)
| c_Orderings_Oord__class_Oless(X1075,X1074,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073))
| ~ c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,X1073,c_Groups_Ozero__class_Ozero(X1075))
| c_Orderings_Oord__class_Oless(X1075,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073),X1074)
| c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1073)
| ~ c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( c_Orderings_Oord__class_Oless(X1075,X1073,c_Groups_Ozero__class_Ozero(X1075))
| c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1072)
| c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1073)
| ~ c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1073)
| c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1073)
| c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,X1073,c_Groups_Ozero__class_Ozero(X1075))
| c_Orderings_Oord__class_Oless(X1075,X1073,c_Groups_Ozero__class_Ozero(X1075))
| c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1073)
| c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1072)
| c_Orderings_Oord__class_Oless(X1075,X1073,c_Groups_Ozero__class_Ozero(X1075))
| c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1073)
| c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,X1073,c_Groups_Ozero__class_Ozero(X1075))
| ~ c_Orderings_Oord__class_Oless(X1075,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073),X1074)
| c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1073)
| c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1072)
| ~ c_Orderings_Oord__class_Oless(X1075,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073),X1074)
| c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1073)
| c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1073)
| ~ c_Orderings_Oord__class_Oless(X1075,X1074,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073))
| c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,X1073,c_Groups_Ozero__class_Ozero(X1075))
| c_Orderings_Oord__class_Oless(X1075,X1073,c_Groups_Ozero__class_Ozero(X1075))
| ~ c_Orderings_Oord__class_Oless(X1075,X1074,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073))
| c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1072)
| c_Orderings_Oord__class_Oless(X1075,X1073,c_Groups_Ozero__class_Ozero(X1075))
| ~ c_Orderings_Oord__class_Oless(X1075,X1074,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073))
| c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,X1073,c_Groups_Ozero__class_Ozero(X1075))
| ~ c_Orderings_Oord__class_Oless(X1075,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073),X1074)
| ~ c_Orderings_Oord__class_Oless(X1075,X1074,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073))
| c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) )
& ( ~ c_Orderings_Oord__class_Oless(X1075,c_Groups_Ozero__class_Ozero(X1075),X1072)
| ~ c_Orderings_Oord__class_Oless(X1075,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073),X1074)
| ~ c_Orderings_Oord__class_Oless(X1075,X1074,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1075),X1072),X1073))
| c_Orderings_Oord__class_Oless(X1075,c_Rings_Oinverse__class_Odivide(X1075,X1074,X1073),X1072)
| ~ class_Fields_Olinordered__field__inverse__zero(X1075) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_28,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),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,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_17]),c_0_17]) ).
cnf(c_0_29,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_30,plain,
! [X1377] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1377) = X1377,
inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).
fof(c_0_31,plain,
! [X102,X103] :
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X103,X102))
| X102 != c_Groups_Ozero__class_Ozero(X103)
| ~ class_RealVector_Oreal__normed__vector(X103) )
& ( X102 = c_Groups_Ozero__class_Ozero(X103)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X103,X102))
| ~ class_RealVector_Oreal__normed__vector(X103) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__norm__iff])])]) ).
cnf(c_0_32,plain,
( c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
| ~ c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4)
| ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(sr,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]) ).
cnf(c_0_36,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(c_0_38,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]),c_0_29]) ).
cnf(c_0_39,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[fact_pc0]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW254+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
% 0.13/0.33 % Computer : n011.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 20:31:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 1.15/1.41 % Version : CSE_E---1.5
% 1.15/1.41 % Problem : theBenchmark.p
% 1.15/1.41 % Proof found
% 1.15/1.41 % SZS status Theorem for theBenchmark.p
% 1.15/1.41 % SZS output start Proof
% See solution above
% 1.15/1.42 % Total time : 0.805000 s
% 1.15/1.42 % SZS output end Proof
% 1.15/1.42 % Total time : 0.847000 s
%------------------------------------------------------------------------------