TSTP Solution File: SWW222+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW222+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 : n019.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 00:16:35 EDT 2023
% Result : Theorem 10.91s 11.20s
% Output : CNFRefutation 10.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 178
% Syntax : Number of formulae : 257 ( 71 unt; 150 typ; 0 def)
% Number of atoms : 172 ( 72 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 116 ( 51 ~; 45 |; 7 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 177 ( 130 >; 47 *; 0 +; 0 <<)
% Number of predicates : 75 ( 73 usr; 1 prp; 0-3 aty)
% Number of functors : 77 ( 77 usr; 20 con; 0-3 aty)
% Number of variables : 104 ( 1 sgn; 60 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
v_f____: $i ).
tff(decl_24,type,
c_SEQ_Osubseq: $i > $o ).
tff(decl_25,type,
tc_RealDef_Oreal: $i ).
tff(decl_26,type,
tc_Complex_Ocomplex: $i ).
tff(decl_27,type,
v_wa____: $i ).
tff(decl_28,type,
v_z____: $i ).
tff(decl_29,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_31,type,
v_d____: $i ).
tff(decl_32,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_34,type,
v_p: $i ).
tff(decl_35,type,
c_Polynomial_Opoly: ( $i * $i ) > $i ).
tff(decl_36,type,
v_s____: $i ).
tff(decl_37,type,
c_Groups_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_38,type,
c_Groups_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_39,type,
c_Int_OPls: $i ).
tff(decl_40,type,
c_Int_OBit1: $i > $i ).
tff(decl_41,type,
c_Int_OBit0: $i > $i ).
tff(decl_42,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(decl_43,type,
c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_45,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_46,type,
class_Fields_Ofield: $i > $o ).
tff(decl_47,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_48,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_49,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_50,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_51,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_52,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_53,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_54,type,
tc_Int_Oint: $i ).
tff(decl_55,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_56,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_57,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_58,type,
class_Int_Onumber: $i > $o ).
tff(decl_59,type,
class_Rings_Oidom: $i > $o ).
tff(decl_60,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_61,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
tff(decl_62,type,
class_Groups_Oabs__if: $i > $o ).
tff(decl_63,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_64,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_65,type,
tc_Nat_Onat: $i ).
tff(decl_66,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_67,type,
class_Groups_Ozero: $i > $o ).
tff(decl_68,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_69,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_70,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
v_g____: $i > $i ).
tff(decl_72,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
c_Transcendental_Opi: $i ).
tff(decl_75,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_76,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_77,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_78,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_79,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_80,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_81,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_82,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_83,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_84,type,
class_Groups_Oone: $i > $o ).
tff(decl_85,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_86,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_87,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_88,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_89,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_90,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_91,type,
c_Nat_OSuc: $i > $i ).
tff(decl_92,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_93,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_94,type,
v_r: $i ).
tff(decl_95,type,
hBOOL: $i > $o ).
tff(decl_96,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_97,type,
v_w____: $i ).
tff(decl_98,type,
c_Int_Oiszero: ( $i * $i ) > $o ).
tff(decl_99,type,
c_Transcendental_Oarctan: $i > $i ).
tff(decl_100,type,
class_Rings_Osemiring__1: $i > $o ).
tff(decl_101,type,
c_Transcendental_Otan: $i > $i ).
tff(decl_102,type,
c_Groups_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
class_Rings_Oring: $i > $o ).
tff(decl_104,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_105,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_106,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_107,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_108,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_109,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_110,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_111,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_112,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_113,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_114,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_115,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_116,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_117,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_118,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_119,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_120,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_121,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_122,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_123,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_124,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_125,type,
class_Rings_Oordered__ring__abs: $i > $o ).
tff(decl_126,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_127,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_128,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_129,type,
c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_130,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_131,type,
c_Transcendental_Ocos: $i > $i ).
tff(decl_132,type,
class_Groups_Osgn__if: $i > $o ).
tff(decl_133,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_134,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk2_0: $i ).
tff(decl_136,type,
esk3_0: $i ).
tff(decl_137,type,
esk4_1: $i > $i ).
tff(decl_138,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_139,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_140,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_141,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_142,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_143,type,
esk10_1: $i > $i ).
tff(decl_144,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_145,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_146,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_147,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_149,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_150,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_151,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk21_1: $i > $i ).
tff(decl_155,type,
esk22_1: $i > $i ).
tff(decl_156,type,
esk23_1: $i > $i ).
tff(decl_157,type,
esk24_1: $i > $i ).
tff(decl_158,type,
esk25_1: $i > $i ).
tff(decl_159,type,
esk26_1: $i > $i ).
tff(decl_160,type,
esk27_0: $i ).
tff(decl_161,type,
esk28_1: $i > $i ).
tff(decl_162,type,
esk29_1: $i > $i ).
tff(decl_163,type,
esk30_1: $i > $i ).
tff(decl_164,type,
esk31_0: $i ).
tff(decl_165,type,
esk32_0: $i ).
tff(decl_166,type,
esk33_0: $i ).
tff(decl_167,type,
esk34_1: $i > $i ).
tff(decl_168,type,
esk35_1: $i > $i ).
tff(decl_169,type,
esk36_1: $i > $i ).
tff(decl_170,type,
esk37_1: $i > $i ).
tff(decl_171,type,
esk38_1: $i > $i ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_Bit0__def,axiom,
! [X16] : c_Int_OBit0(X16) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit0__def) ).
fof(fact_Bit1__def,axiom,
! [X16] : c_Int_OBit1(X16) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X16),X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit1__def) ).
fof(fact__0960_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_061_061_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096,axiom,
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____) )
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__0960_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_061_061_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096) ).
fof(fact_abs__minus__add__cancel,axiom,
! [X23,X9] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X23))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X23,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X9))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__minus__add__cancel) ).
fof(fact_minus__real__def,axiom,
! [X23,X9] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X9,X23) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__real__def) ).
fof(fact_add__Pls__right,axiom,
! [X16] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X16,c_Int_OPls) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Pls__right) ).
fof(fact_add__Pls,axiom,
! [X16] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X16) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Pls) ).
fof(fact_diff__int__def,axiom,
! [X6,X33] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,X33,X6) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X33,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__int__def) ).
fof(fact_minus__le__self__iff,axiom,
! [X12,X7] :
( class_Groups_Olinordered__ab__group__add(X7)
=> ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ouminus__class_Ouminus(X7,X12),X12)
<=> c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__le__self__iff) ).
fof(fact_complex__mod__minus__le__complex__mod,axiom,
! [X9] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X9)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__mod__minus__le__complex__mod) ).
fof(fact_minus__minus,axiom,
! [X8,X7] :
( class_Groups_Ogroup__add(X7)
=> c_Groups_Ouminus__class_Ouminus(X7,c_Groups_Ouminus__class_Ouminus(X7,X8)) = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__minus) ).
fof(fact_arith__simps_I30_J,axiom,
! [X6,X7] :
( class_Int_Onumber__ring(X7)
=> c_Groups_Ouminus__class_Ouminus(X7,c_Int_Onumber__class_Onumber__of(X7,X6)) = c_Int_Onumber__class_Onumber__of(X7,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_arith__simps_I30_J) ).
fof(fact_w,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_w) ).
fof(fact_real__less__def,axiom,
! [X24,X15] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X15,X24)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X24)
& X15 != X24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom,
class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Olinordered__ab__group__add) ).
fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
fof(fact_one__add__one__is__two,axiom,
! [X7] :
( class_Int_Onumber__ring(X7)
=> c_Groups_Oplus__class_Oplus(X7,c_Groups_Oone__class_Oone(X7),c_Groups_Oone__class_Oone(X7)) = c_Int_Onumber__class_Onumber__of(X7,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__add__one__is__two) ).
fof(arity_RealDef__Oreal__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber__ring) ).
fof(fact_norm__le__zero__iff,axiom,
! [X15,X7] :
( class_RealVector_Oreal__normed__vector(X7)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X7,X15),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
<=> X15 = c_Groups_Ozero__class_Ozero(X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__le__zero__iff) ).
fof(fact_real__le__refl,axiom,
! [X6] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__refl) ).
fof(fact_zminus__zminus,axiom,
! [X33] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X33)) = X33,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zminus__zminus) ).
fof(fact_e2,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_e2) ).
fof(fact_right__minus__eq,axiom,
! [X11,X12,X7] :
( class_Groups_Ogroup__add(X7)
=> ( c_Groups_Ominus__class_Ominus(X7,X12,X11) = c_Groups_Ozero__class_Ozero(X7)
<=> X12 = X11 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_right__minus__eq) ).
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_diff__self,axiom,
! [X8,X7] :
( class_Groups_Ogroup__add(X7)
=> c_Groups_Ominus__class_Ominus(X7,X8,X8) = c_Groups_Ozero__class_Ozero(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__self) ).
fof(fact_norm__zero,axiom,
! [X7] :
( class_RealVector_Oreal__normed__vector(X7)
=> c_RealVector_Onorm__class_Onorm(X7,c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__zero) ).
fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add) ).
fof(c_0_28,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_29,plain,
! [X1108] : c_Int_OBit0(X1108) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1108,X1108),
inference(variable_rename,[status(thm)],[fact_Bit0__def]) ).
fof(c_0_30,plain,
! [X1102] : c_Int_OBit1(X1102) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1102),X1102),
inference(variable_rename,[status(thm)],[fact_Bit1__def]) ).
fof(c_0_31,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(fof_nnf,[status(thm)],[fact__0960_A_060_Acmod_A_Iw_A_N_Az_J_A_G_Acmod_A_Iw_A_N_Az_J_A_060_Ad_061_061_062_Acmod_A_Ipoly_Ap_Aw_A_N_Apoly_Ap_Az_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096]) ).
fof(c_0_32,plain,
! [X797,X798] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X798,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X797))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X797,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X798))),
inference(variable_rename,[status(thm)],[fact_abs__minus__add__cancel]) ).
fof(c_0_33,plain,
! [X793,X794] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X794,X793) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X794,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X793)),
inference(variable_rename,[status(thm)],[fact_minus__real__def]) ).
cnf(c_0_34,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
c_Int_OBit0(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
c_Int_OBit1(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_37,plain,
! [X1107] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1107,c_Int_OPls) = X1107,
inference(variable_rename,[status(thm)],[fact_add__Pls__right]) ).
fof(c_0_38,plain,
! [X1106] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X1106) = X1106,
inference(variable_rename,[status(thm)],[fact_add__Pls]) ).
fof(c_0_39,plain,
! [X1231,X1232] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1232,X1231) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1232,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1231)),
inference(variable_rename,[status(thm)],[fact_diff__int__def]) ).
cnf(c_0_40,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_36]) ).
cnf(c_0_44,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls) = X1,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_45,plain,
! [X740,X741] :
( ( ~ c_Orderings_Oord__class_Oless__eq(X741,c_Groups_Ouminus__class_Ouminus(X741,X740),X740)
| c_Orderings_Oord__class_Oless__eq(X741,c_Groups_Ozero__class_Ozero(X741),X740)
| ~ class_Groups_Olinordered__ab__group__add(X741) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X741,c_Groups_Ozero__class_Ozero(X741),X740)
| c_Orderings_Oord__class_Oless__eq(X741,c_Groups_Ouminus__class_Ouminus(X741,X740),X740)
| ~ class_Groups_Olinordered__ab__group__add(X741) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__le__self__iff])])]) ).
fof(c_0_46,plain,
! [X1527] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1527)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1527)),
inference(variable_rename,[status(thm)],[fact_complex__mod__minus__le__complex__mod]) ).
fof(c_0_47,plain,
! [X285,X286] :
( ~ class_Groups_Ogroup__add(X286)
| c_Groups_Ouminus__class_Ouminus(X286,c_Groups_Ouminus__class_Ouminus(X286,X285)) = X285 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__minus])]) ).
fof(c_0_48,plain,
! [X203,X204] :
( ~ class_Int_Onumber__ring(X204)
| c_Groups_Ouminus__class_Ouminus(X204,c_Int_Onumber__class_Onumber__of(X204,X203)) = c_Int_Onumber__class_Onumber__of(X204,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X203)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_arith__simps_I30_J])]) ).
cnf(c_0_49,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,plain,
c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_35]),c_0_36]),c_0_36]) ).
cnf(c_0_52,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_42]) ).
cnf(c_0_53,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____),
inference(split_conjunct,[status(thm)],[fact_w]) ).
cnf(c_0_54,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_44]),c_0_44]),c_0_44]) ).
fof(c_0_55,plain,
! [X1131,X1132] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1132,X1131)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1132,X1131) )
& ( X1132 != X1131
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1132,X1131) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1132,X1131)
| X1132 = X1131
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1132,X1131) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__less__def])])]) ).
cnf(c_0_56,plain,
( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_Groups_Olinordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Olinordered__ab__group__add]) ).
cnf(c_0_59,plain,
( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ogroup__add]) ).
cnf(c_0_61,plain,
( c_Groups_Ouminus__class_Ouminus(X1,c_Int_Onumber__class_Onumber__of(X1,X2)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_62,plain,
c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X1),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_63,plain,
! [X681] :
( ~ class_Int_Onumber__ring(X681)
| c_Groups_Oplus__class_Oplus(X681,c_Groups_Oone__class_Oone(X681),c_Groups_Oone__class_Oone(X681)) = c_Int_Onumber__class_Onumber__of(X681,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__add__one__is__two])]) ).
cnf(c_0_64,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_44]),c_0_44]),c_0_44]),c_0_44]),c_0_53])]) ).
cnf(c_0_65,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
inference(rw,[status(thm)],[c_0_54,c_0_52]) ).
cnf(c_0_66,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_68,plain,
c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = X1,
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,plain,
( c_Groups_Ouminus__class_Ouminus(X1,c_Int_Onumber__class_Onumber__of(X1,X2)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X2))
| ~ class_Int_Onumber__ring(X1) ),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Int_Onumber__ring]) ).
cnf(c_0_71,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_72,plain,
! [X1243,X1244] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1244,X1243),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| X1243 = c_Groups_Ozero__class_Ozero(X1244)
| ~ class_RealVector_Oreal__normed__vector(X1244) )
& ( X1243 != c_Groups_Ozero__class_Ozero(X1244)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1244,X1243),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_RealVector_Oreal__normed__vector(X1244) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__le__zero__iff])])]) ).
cnf(c_0_73,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))),
inference(sr,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| 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_66,c_0_67]) ).
fof(c_0_75,plain,
! [X1469] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1469,X1469),
inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).
cnf(c_0_76,plain,
c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X1))) = c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_77,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))
| ~ class_Int_Onumber__ring(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_35]),c_0_36]),c_0_36]) ).
fof(c_0_78,plain,
! [X258] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X258)) = X258,
inference(variable_rename,[status(thm)],[fact_zminus__zminus]) ).
cnf(c_0_79,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(split_conjunct,[status(thm)],[fact_e2]) ).
fof(c_0_80,plain,
! [X307,X308,X309] :
( ( c_Groups_Ominus__class_Ominus(X309,X308,X307) != c_Groups_Ozero__class_Ozero(X309)
| X308 = X307
| ~ class_Groups_Ogroup__add(X309) )
& ( X308 != X307
| c_Groups_Ominus__class_Ominus(X309,X308,X307) = c_Groups_Ozero__class_Ozero(X309)
| ~ class_Groups_Ogroup__add(X309) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__minus__eq])])]) ).
cnf(c_0_81,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_84,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
fof(c_0_85,plain,
! [X302,X303] :
( ~ class_Groups_Ogroup__add(X303)
| c_Groups_Ominus__class_Ominus(X303,X302,X302) = c_Groups_Ozero__class_Ozero(X303) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__self])]) ).
fof(c_0_86,plain,
! [X115] :
( ~ class_RealVector_Oreal__normed__vector(X115)
| c_RealVector_Onorm__class_Onorm(X115,c_Groups_Ozero__class_Ozero(X115)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__zero])]) ).
cnf(c_0_87,plain,
c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X1)) = c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X1)),
inference(spm,[status(thm)],[c_0_68,c_0_76]) ).
cnf(c_0_88,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))
| ~ class_Int_Onumber__ring(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_44]),c_0_44]),c_0_44]),c_0_44]) ).
cnf(c_0_89,plain,
c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_90,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_35]),c_0_36]),c_0_36]) ).
cnf(c_0_91,plain,
( X2 = X3
| c_Groups_Ominus__class_Ominus(X1,X2,X3) != c_Groups_Ozero__class_Ozero(X1)
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_92,plain,
c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84])]) ).
cnf(c_0_93,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ogroup__add]) ).
cnf(c_0_94,plain,
( c_Groups_Ominus__class_Ominus(X1,X2,X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_95,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_96,plain,
c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_70])]) ).
cnf(c_0_97,plain,
c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Int_OPls,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_62]),c_0_62]) ).
cnf(c_0_98,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_44]),c_0_44]),c_0_44]),c_0_44]) ).
cnf(c_0_99,plain,
v_wa____ = v_z____,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_100,plain,
c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_94,c_0_93]) ).
cnf(c_0_101,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_95,c_0_84]) ).
cnf(c_0_102,plain,
c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_96]),c_0_68]),c_0_97]),c_0_70])]) ).
cnf(c_0_103,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
inference(rw,[status(thm)],[c_0_98,c_0_52]) ).
cnf(c_0_104,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_99]),c_0_100]),c_0_101]),c_0_102]) ).
cnf(c_0_105,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_88]),c_0_70])]) ).
cnf(c_0_106,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_104,c_0_105]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW222+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 : n019.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 18:05:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.62 start to proof: theBenchmark
% 10.91/11.20 % Version : CSE_E---1.5
% 10.91/11.20 % Problem : theBenchmark.p
% 10.91/11.20 % Proof found
% 10.91/11.20 % SZS status Theorem for theBenchmark.p
% 10.91/11.20 % SZS output start Proof
% See solution above
% 10.91/11.22 % Total time : 10.516000 s
% 10.91/11.22 % SZS output end Proof
% 10.91/11.22 % Total time : 10.556000 s
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