TSTP Solution File: SWW206+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW206+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 : n028.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 79.37s 79.46s
% Output : CNFRefutation 79.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 209
% Syntax : Number of formulae : 224 ( 19 unt; 202 typ; 0 def)
% Number of atoms : 32 ( 8 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 6 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 312 ( 177 >; 135 *; 0 +; 0 <<)
% Number of predicates : 78 ( 76 usr; 1 prp; 0-3 aty)
% Number of functors : 126 ( 126 usr; 25 con; 0-5 aty)
% Number of variables : 40 ( 7 sgn; 25 !; 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,
v_ga____: $i ).
tff(decl_26,type,
tc_RealDef_Oreal: $i ).
tff(decl_27,type,
tc_Complex_Ocomplex: $i ).
tff(decl_28,type,
tc_Nat_Onat: $i ).
tff(decl_29,type,
c_Complex_OIm: $i ).
tff(decl_30,type,
v_s: $i ).
tff(decl_31,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
c_SEQ_Omonoseq: ( $i * $i ) > $o ).
tff(decl_33,type,
c_Complex_ORe: $i ).
tff(decl_34,type,
c_SEQ_Oconvergent: ( $i * $i ) > $o ).
tff(decl_35,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_36,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i ) > $i ).
tff(decl_37,type,
v_r: $i ).
tff(decl_38,type,
hBOOL: $i > $o ).
tff(decl_39,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Lim_OisUCont: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_42,type,
c_SEQ_OBseq: ( $i * $i ) > $o ).
tff(decl_43,type,
c_Groups_Oplus__class_Oplus: $i > $i ).
tff(decl_44,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Groups_Ouminus__class_Ouminus: $i > $i ).
tff(decl_46,type,
c_SEQ_OCauchy: ( $i * $i ) > $o ).
tff(decl_47,type,
c_Groups_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_48,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_49,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_50,type,
class_RealVector_Ometric__space: $i > $o ).
tff(decl_51,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
class_SEQ_Ocomplete__space: $i > $o ).
tff(decl_53,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_54,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_55,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_56,type,
c_COMBS: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
tff(decl_58,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_59,type,
class_Groups_Ozero: $i > $o ).
tff(decl_60,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_61,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_62,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_63,type,
class_Groups_Oone: $i > $o ).
tff(decl_64,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_65,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_66,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_67,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_68,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_69,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_70,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_71,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_72,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_73,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_74,type,
class_Orderings_Oord: $i > $o ).
tff(decl_75,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_76,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_77,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_78,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_79,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_80,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_81,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_82,type,
class_Groups_Ouminus: $i > $o ).
tff(decl_83,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(decl_84,type,
c_Complex_Oexpi: $i > $i ).
tff(decl_85,type,
c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_86,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_87,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_88,type,
class_Groups_Osgn__if: $i > $o ).
tff(decl_89,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_90,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_91,type,
c_Complex_Ocomplex_OComplex: ( $i * $i ) > $i ).
tff(decl_92,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_93,type,
c_Complex_Ocomplex_Ocomplex__size: $i > $i ).
tff(decl_94,type,
class_Power_Opower: $i > $o ).
tff(decl_95,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_96,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_97,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_98,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_99,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_100,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(decl_101,type,
c_Complex_Ocomplex_Ocomplex__case: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
c_Complex_Ocomplex_Ocomplex__rec: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_104,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_105,type,
c_Orderings_Oord__class_Oless: ( $i * $i ) > $i ).
tff(decl_106,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_107,type,
c_Complex_Ocnj: $i ).
tff(decl_108,type,
class_Lattices_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_109,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_110,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_111,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_112,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_113,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_114,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_115,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_116,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_117,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_118,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_119,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_120,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_121,type,
class_Rings_Oring: $i > $o ).
tff(decl_122,type,
class_Rings_Oidom: $i > $o ).
tff(decl_123,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_124,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_125,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_126,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_127,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_128,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_129,type,
class_Rings_Oordered__ring__abs: $i > $o ).
tff(decl_130,type,
class_Groups_Oabs__if: $i > $o ).
tff(decl_131,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_132,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_133,type,
tc_Int_Oint: $i ).
tff(decl_134,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_135,type,
c_Complex_Orcis: ( $i * $i ) > $i ).
tff(decl_136,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_137,type,
class_Groups_Ominus: $i > $o ).
tff(decl_138,type,
c_Complex_Oii: $i ).
tff(decl_139,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(decl_140,type,
c_Transcendental_Oln: $i > $i ).
tff(decl_141,type,
c_SEQ_Olim: ( $i * $i ) > $i ).
tff(decl_142,type,
c_Nat_OSuc: $i > $i ).
tff(decl_143,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_144,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_145,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_146,type,
tc_HOL_Obool: $i ).
tff(decl_147,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk2_0: $i ).
tff(decl_149,type,
esk3_0: $i ).
tff(decl_150,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_153,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk8_0: $i ).
tff(decl_155,type,
esk9_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_156,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_159,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk14_1: $i > $i ).
tff(decl_161,type,
esk15_1: $i > $i ).
tff(decl_162,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_165,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_166,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_167,type,
esk21_1: $i > $i ).
tff(decl_168,type,
esk22_1: $i > $i ).
tff(decl_169,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk24_0: $i ).
tff(decl_171,type,
esk25_0: $i ).
tff(decl_172,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_174,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_175,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_176,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_177,type,
esk31_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_178,type,
esk32_0: $i ).
tff(decl_179,type,
esk33_0: $i ).
tff(decl_180,type,
esk34_0: $i ).
tff(decl_181,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk37_1: $i > $i ).
tff(decl_184,type,
esk38_0: $i ).
tff(decl_185,type,
esk39_0: $i ).
tff(decl_186,type,
esk40_0: $i ).
tff(decl_187,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_188,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_189,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_190,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_191,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_192,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_193,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_194,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_195,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_196,type,
esk50_1: $i > $i ).
tff(decl_197,type,
esk51_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_198,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_199,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_200,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_201,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_202,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_203,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_204,type,
esk58_1: $i > $i ).
tff(decl_205,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_206,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_207,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_208,type,
esk62_3: ( $i * $i * $i ) > $i ).
tff(decl_209,type,
esk63_3: ( $i * $i * $i ) > $i ).
tff(decl_210,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_211,type,
esk65_0: $i ).
tff(decl_212,type,
esk66_3: ( $i * $i * $i ) > $i ).
tff(decl_213,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_214,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_215,type,
esk69_3: ( $i * $i * $i ) > $i ).
tff(decl_216,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_217,type,
esk71_3: ( $i * $i * $i ) > $i ).
tff(decl_218,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_219,type,
esk73_3: ( $i * $i * $i ) > $i ).
tff(decl_220,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_221,type,
esk75_1: $i > $i ).
tff(decl_222,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_223,type,
esk77_2: ( $i * $i ) > $i ).
fof(conj_0,conjecture,
c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_BseqI2_H,axiom,
! [X45,X8,X46,X9] :
( class_RealVector_Oreal__normed__vector(X9)
=> ( ! [X5] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X46),X5))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X9,hAPP(X8,X5))),X45)) )
=> c_SEQ_OBseq(X9,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_BseqI2_H) ).
fof(help_c__COMBB__1,axiom,
! [X114,X115,X80,X38,X9,X34] : hAPP(c_COMBB(X34,X9,X38,X80,X115),X114) = hAPP(X80,hAPP(X115,X114)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
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_th,axiom,
! [X5] : 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,X5)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_th) ).
fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
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(c_0_7,negated_conjecture,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_8,plain,
! [X660,X661,X662,X663] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X662),esk18_4(X660,X661,X662,X663)))
| c_SEQ_OBseq(X663,X661)
| ~ class_RealVector_Oreal__normed__vector(X663) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X663,hAPP(X661,esk18_4(X660,X661,X662,X663)))),X660))
| c_SEQ_OBseq(X663,X661)
| ~ class_RealVector_Oreal__normed__vector(X663) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_BseqI2_H])])])]) ).
fof(c_0_9,plain,
! [X2846,X2847,X2848,X2849,X2850,X2851] : hAPP(c_COMBB(X2851,X2850,X2849,X2848,X2847),X2846) = hAPP(X2848,hAPP(X2847,X2846)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
fof(c_0_10,plain,
! [X204] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X204) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X204),
inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).
fof(c_0_11,plain,
! [X132] : 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,X132)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(variable_rename,[status(thm)],[fact_th]) ).
cnf(c_0_12,negated_conjecture,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( c_SEQ_OBseq(X1,X2)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk18_4(X3,X2,X4,X1)))),X3))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).
cnf(c_0_15,plain,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,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_10]) ).
cnf(c_0_17,plain,
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,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,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_19,negated_conjecture,
~ 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____,esk18_4(X1,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X2,tc_RealDef_Oreal))))))),X1)),
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(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_15]),c_0_15]),c_0_16])]) ).
cnf(c_0_20,plain,
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,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii)))),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW206+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 19:29:24 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.60 start to proof: theBenchmark
% 79.37/79.46 % Version : CSE_E---1.5
% 79.37/79.46 % Problem : theBenchmark.p
% 79.37/79.46 % Proof found
% 79.37/79.46 % SZS status Theorem for theBenchmark.p
% 79.37/79.46 % SZS output start Proof
% See solution above
% 79.37/79.47 % Total time : 78.804000 s
% 79.37/79.47 % SZS output end Proof
% 79.37/79.47 % Total time : 78.851000 s
%------------------------------------------------------------------------------