TSTP Solution File: SWW207+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW207+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:16:31 EDT 2023
% Result : Theorem 1.66s 1.74s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 221
% Syntax : Number of formulae : 266 ( 33 unt; 206 typ; 0 def)
% Number of atoms : 101 ( 30 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 76 ( 35 ~; 27 |; 7 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 312 ( 187 >; 125 *; 0 +; 0 <<)
% Number of predicates : 80 ( 78 usr; 1 prp; 0-3 aty)
% Number of functors : 128 ( 128 usr; 19 con; 0-5 aty)
% Number of variables : 56 ( 4 sgn; 30 !; 2 ?; 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,
v_ga____: $i ).
tff(decl_26,type,
tc_RealDef_Oreal: $i ).
tff(decl_27,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_28,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i ) > $i ).
tff(decl_29,type,
v_r: $i ).
tff(decl_30,type,
hBOOL: $i > $o ).
tff(decl_31,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
tff(decl_32,type,
c_Groups_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_33,type,
c_Orderings_Oord__class_Oless: ( $i * $i ) > $i ).
tff(decl_34,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_35,type,
tc_Complex_Ocomplex: $i ).
tff(decl_36,type,
v_s: $i ).
tff(decl_37,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_38,type,
tc_Nat_Onat: $i ).
tff(decl_39,type,
class_Groups_Ozero: $i > $o ).
tff(decl_40,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_41,type,
class_Orderings_Oord: $i > $o ).
tff(decl_42,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_43,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_44,type,
c_Complex_OIm: $i ).
tff(decl_45,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_46,type,
c_Groups_Oplus__class_Oplus: $i > $i ).
tff(decl_47,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_48,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
c_SEQ_Omonoseq: ( $i * $i ) > $o ).
tff(decl_50,type,
c_Complex_ORe: $i ).
tff(decl_51,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_52,type,
class_Groups_Oone: $i > $o ).
tff(decl_53,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_54,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_55,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_56,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_57,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_58,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_59,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_60,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_61,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_62,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_63,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_64,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_65,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_66,type,
c_SEQ_Oconvergent: ( $i * $i ) > $o ).
tff(decl_67,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_68,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_69,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_70,type,
c_SEQ_OBseq: ( $i * $i ) > $o ).
tff(decl_71,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(decl_72,type,
class_RealVector_Ometric__space: $i > $o ).
tff(decl_73,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
c_COMBS: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
c_Complex_Oexpi: $i > $i ).
tff(decl_77,type,
c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_78,type,
class_Groups_Osgn__if: $i > $o ).
tff(decl_79,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_80,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_81,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_82,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_83,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_84,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_85,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_86,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_87,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_88,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_89,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_90,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_91,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_92,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_93,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_94,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_95,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_96,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_97,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_98,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_99,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_100,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_101,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_102,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_103,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_104,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_105,type,
class_Rings_Oordered__ring__abs: $i > $o ).
tff(decl_106,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_107,type,
tc_Int_Oint: $i ).
tff(decl_108,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_109,type,
class_Power_Opower: $i > $o ).
tff(decl_110,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_111,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_112,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_113,type,
c_Complex_Orcis: ( $i * $i ) > $i ).
tff(decl_114,type,
c_Nat_OSuc: $i > $i ).
tff(decl_115,type,
c_Complex_Ocis: $i > $i ).
tff(decl_116,type,
c_Transcendental_Oln: $i > $i ).
tff(decl_117,type,
c_Transcendental_Ocos: $i > $i ).
tff(decl_118,type,
c_Transcendental_Osin: $i > $i ).
tff(decl_119,type,
c_Transcendental_Oarccos: $i > $i ).
tff(decl_120,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_122,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_123,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_124,type,
class_Rings_Oring: $i > $o ).
tff(decl_125,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_126,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_127,type,
c_Complex_Oii: $i ).
tff(decl_128,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(decl_129,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_131,type,
c_Complex_Ocomplex_OComplex: ( $i * $i ) > $i ).
tff(decl_132,type,
c_Complex_Ocomplex_Ocomplex__size: $i > $i ).
tff(decl_133,type,
c_Complex_Oarg: $i > $i ).
tff(decl_134,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(decl_135,type,
c_Complex_Ocomplex_Ocomplex__rec: ( $i * $i * $i ) > $i ).
tff(decl_136,type,
c_Complex_Ocomplex_Ocomplex__case: ( $i * $i * $i ) > $i ).
tff(decl_137,type,
c_Rings_Oinverse__class_Odivide: $i > $i ).
tff(decl_138,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_139,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_140,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_141,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_142,type,
class_Fields_Ofield: $i > $o ).
tff(decl_143,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_144,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_145,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_146,type,
class_Rings_Oidom: $i > $o ).
tff(decl_147,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_148,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_149,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_150,type,
tc_HOL_Obool: $i ).
tff(decl_151,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_152,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_153,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_154,type,
esk3_1: $i > $i ).
tff(decl_155,type,
esk4_1: $i > $i ).
tff(decl_156,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_159,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk9_0: $i ).
tff(decl_161,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_162,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_167,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_169,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_172,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk22_1: $i > $i ).
tff(decl_174,type,
esk23_1: $i > $i ).
tff(decl_175,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_176,type,
esk25_0: $i ).
tff(decl_177,type,
esk26_0: $i ).
tff(decl_178,type,
esk27_0: $i ).
tff(decl_179,type,
esk28_0: $i ).
tff(decl_180,type,
esk29_1: $i > $i ).
tff(decl_181,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk32_0: $i ).
tff(decl_184,type,
esk33_0: $i ).
tff(decl_185,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_186,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_187,type,
esk36_1: $i > $i ).
tff(decl_188,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_189,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_190,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_191,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_192,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_193,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_194,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_195,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_196,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_197,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_198,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_199,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_200,type,
esk49_1: $i > $i ).
tff(decl_201,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_202,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_203,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_204,type,
esk53_1: $i > $i ).
tff(decl_205,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_206,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_207,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_208,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_209,type,
esk58_1: $i > $i ).
tff(decl_210,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_211,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_212,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_213,type,
esk62_1: $i > $i ).
tff(decl_214,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_215,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_216,type,
esk65_3: ( $i * $i * $i ) > $i ).
tff(decl_217,type,
esk66_1: $i > $i ).
tff(decl_218,type,
esk67_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_219,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_220,type,
esk69_3: ( $i * $i * $i ) > $i ).
tff(decl_221,type,
esk70_3: ( $i * $i * $i ) > $i ).
tff(decl_222,type,
esk71_3: ( $i * $i * $i ) > $i ).
tff(decl_223,type,
esk72_1: $i > $i ).
tff(decl_224,type,
esk73_3: ( $i * $i * $i ) > $i ).
tff(decl_225,type,
esk74_3: ( $i * $i * $i ) > $i ).
tff(decl_226,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_227,type,
esk76_3: ( $i * $i * $i ) > $i ).
fof(fact_not__real__square__gt__zero,axiom,
! [X10] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X10),X10)))
<=> X10 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__real__square__gt__zero) ).
fof(conj_0,conjecture,
? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X8)))))),X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_real__le__trans,axiom,
! [X17,X18,X19] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19),X18))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X18),X17))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19),X17)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).
fof(fact_assms,axiom,
! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X8))),v_r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_assms) ).
fof(fact_abs__Im__le__cmod,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X7))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__Im__le__cmod) ).
fof(fact_real__norm__def,axiom,
! [X23] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X23) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(fact_natceiling__le__eq__one,axiom,
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X10)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__le__eq__one) ).
fof(fact_natceiling__neg,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
=> c_RComplete_Onatceiling(X7) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__neg) ).
fof(fact_real__mult__1,axiom,
! [X14] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X14) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__1) ).
fof(fact_complex__Im__i,axiom,
hAPP(c_Complex_OIm,c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__Im__i) ).
fof(fact_complex__Re__i,axiom,
hAPP(c_Complex_ORe,c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__Re__i) ).
fof(fact_le0,axiom,
! [X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le0) ).
fof(fact_real__zero__not__eq__one,axiom,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__zero__not__eq__one) ).
fof(fact_real__less__def,axiom,
! [X9,X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10),X9))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9))
& X10 != X9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(fact_rp,axiom,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rp) ).
fof(c_0_15,plain,
! [X10] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X10),X10)))
<=> X10 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[fact_not__real__square__gt__zero]) ).
fof(c_0_16,negated_conjecture,
~ ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X8)))))),X37)) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_17,plain,
! [X270,X271,X272] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X272),X271))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X271),X270))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X272),X270)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])]) ).
fof(c_0_18,plain,
! [X127] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X127))),v_r)),
inference(variable_rename,[status(thm)],[fact_assms]) ).
fof(c_0_19,plain,
! [X348] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X348))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X348))),
inference(variable_rename,[status(thm)],[fact_abs__Im__le__cmod]) ).
fof(c_0_20,plain,
! [X400] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X400) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X400),
inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).
fof(c_0_21,plain,
! [X1343] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1343)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1343),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1343),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1343)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__le__eq__one])]) ).
fof(c_0_22,plain,
! [X1260] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1260),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| c_RComplete_Onatceiling(X1260) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__neg])]) ).
fof(c_0_23,plain,
! [X1630] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1630),X1630)))
| X1630 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
& ( X1630 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1630),X1630))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
fof(c_0_24,plain,
! [X1060] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1060) = X1060,
inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).
fof(c_0_25,negated_conjecture,
! [X2833] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X2833))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(X2833))))))),X2833)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_26,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),v_r)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
hAPP(c_Complex_OIm,c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_complex__Im__i]) ).
cnf(c_0_32,plain,
( c_RComplete_Onatceiling(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
hAPP(c_Complex_ORe,c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_complex__Re__i]) ).
fof(c_0_34,plain,
! [X576] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X576)),
inference(variable_rename,[status(thm)],[fact_le0]) ).
cnf(c_0_35,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)))
| X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,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_24]) ).
cnf(c_0_37,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_real__zero__not__eq__one]) ).
fof(c_0_38,plain,
! [X128,X129] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X129),X128))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X129),X128)) )
& ( X129 != X128
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X129),X128)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X129),X128))
| X129 = X128
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X129),X128)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__less__def])])]) ).
cnf(c_0_39,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(split_conjunct,[status(thm)],[fact_rp]) ).
cnf(c_0_40,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(X1))))))),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),v_r))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X2)))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_42,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X1))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_43,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(c_Complex_OIm,c_Complex_Oii)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_44,plain,
( c_RComplete_Onatceiling(X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(c_Complex_ORe,c_Complex_Oii))) ),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_45,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,plain,
( X1 = hAPP(c_Complex_ORe,c_Complex_Oii)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_33]),c_0_33]) ).
cnf(c_0_47,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,c_Complex_Oii)),X1) = X1,
inference(rw,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_48,plain,
hAPP(c_Complex_OIm,c_Complex_Oii) != hAPP(c_Complex_ORe,c_Complex_Oii),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_33]),c_0_31]) ).
cnf(c_0_49,plain,
( X1 = X2
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),v_r)),
inference(rw,[status(thm)],[c_0_39,c_0_33]) ).
cnf(c_0_51,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(X1))))))),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_33]),c_0_29]) ).
cnf(c_0_52,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),v_r)),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_53,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(c_Complex_OIm,c_Complex_Oii)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(c_Complex_ORe,c_Complex_Oii))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_54,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(c_Complex_OIm,c_Complex_Oii))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_55,plain,
( hAPP(c_Complex_ORe,c_Complex_Oii) = v_r
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),v_r)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),v_r)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(hAPP(c_Complex_OIm,c_Complex_Oii)))))))),hAPP(c_Complex_ORe,c_Complex_Oii))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_53]),c_0_54])]) ).
cnf(c_0_58,plain,
hAPP(c_Complex_ORe,c_Complex_Oii) = v_r,
inference(sr,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : SWW207+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.17 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.37 % Computer : n021.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sun Aug 27 20:08:58 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.23/0.61 start to proof: theBenchmark
% 1.66/1.74 % Version : CSE_E---1.5
% 1.66/1.74 % Problem : theBenchmark.p
% 1.66/1.74 % Proof found
% 1.66/1.74 % SZS status Theorem for theBenchmark.p
% 1.66/1.74 % SZS output start Proof
% See solution above
% 1.66/1.76 % Total time : 1.086000 s
% 1.66/1.76 % SZS output end Proof
% 1.66/1.76 % Total time : 1.131000 s
%------------------------------------------------------------------------------