TSTP Solution File: SWW212+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW212+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 : n032.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 00:16:33 EDT 2023
% Result : Theorem 194.14s 194.14s
% Output : CNFRefutation 194.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 186
% Syntax : Number of formulae : 200 ( 6 unt; 182 typ; 0 def)
% Number of atoms : 42 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 19 ~; 14 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 280 ( 159 >; 121 *; 0 +; 0 <<)
% Number of predicates : 85 ( 83 usr; 1 prp; 0-5 aty)
% Number of functors : 99 ( 99 usr; 23 con; 0-5 aty)
% Number of variables : 33 ( 5 sgn; 11 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
v_ga____: $i ).
tff(decl_24,type,
c_SEQ_Osubseq: $i > $o ).
tff(decl_25,type,
v_f____: $i ).
tff(decl_26,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_27,type,
tc_RealDef_Oreal: $i ).
tff(decl_28,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_29,type,
c_RealVector_Onorm__class_Onorm: $i > $i ).
tff(decl_30,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_32,type,
c_Groups_Ominus__class_Ominus: $i > $i ).
tff(decl_33,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
tc_Complex_Ocomplex: $i ).
tff(decl_35,type,
v_s: $i ).
tff(decl_36,type,
v_r: $i ).
tff(decl_37,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_38,type,
tc_Nat_Onat: $i ).
tff(decl_39,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
class_Groups_Ozero: $i > $o ).
tff(decl_41,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_42,type,
class_Orderings_Oord: $i > $o ).
tff(decl_43,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_44,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_45,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_46,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_47,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_48,type,
c_SEQ_OBseq: ( $i * $i ) > $o ).
tff(decl_49,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(decl_50,type,
c_Complex_Ocomplex_OComplex: $i ).
tff(decl_51,type,
v_x____: $i ).
tff(decl_52,type,
v_y____: $i ).
tff(decl_53,type,
c_SEQ_Omonoseq: ( $i * $i ) > $o ).
tff(decl_54,type,
hBOOL: $i > $o ).
tff(decl_55,type,
c_Groups_Oabs__class_Oabs: $i > $i ).
tff(decl_56,type,
c_Complex_OIm: $i ).
tff(decl_57,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_58,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_59,type,
c_Complex_Ocomplex_Ocomplex__size: $i > $i ).
tff(decl_60,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
tff(decl_61,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(decl_62,type,
c_Complex_ORe: $i ).
tff(decl_63,type,
c_Complex_Ocomplex_Ocomplex__rec: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
c_Complex_Ocomplex_Ocomplex__case: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Groups_Oplus__class_Oplus: $i > $i ).
tff(decl_67,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_68,type,
class_Groups_Oone: $i > $o ).
tff(decl_69,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_70,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_71,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_72,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_73,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_74,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_75,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_76,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_77,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_78,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_79,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_80,type,
c_SEQ_Oconvergent: ( $i * $i ) > $o ).
tff(decl_81,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_82,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_83,type,
c_Limits_Osequentially: $i ).
tff(decl_84,type,
c_Limits_Otendsto: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_85,type,
class_RealVector_Ometric__space: $i > $o ).
tff(decl_86,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
class_RealVector_Otopological__space: $i > $o ).
tff(decl_88,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
c_COMBS: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
class_SEQ_Ocomplete__space: $i > $o ).
tff(decl_91,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_92,type,
tc_Limits_Onet: $i > $i ).
tff(decl_93,type,
c_Complex_Oii: $i ).
tff(decl_94,type,
c_SEQ_Olim: ( $i * $i ) > $i ).
tff(decl_95,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_96,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_97,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_98,type,
class_Power_Opower: $i > $o ).
tff(decl_99,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_100,type,
tc_Int_Oint: $i ).
tff(decl_101,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_102,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_103,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_104,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_105,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_106,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_107,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_108,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_109,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_110,type,
c_Rings_Oinverse__class_Odivide: $i > $i ).
tff(decl_111,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_112,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_113,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_114,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_115,type,
class_Fields_Ofield: $i > $o ).
tff(decl_116,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_117,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_118,type,
c_Series_Osums: ( $i * $i * $i ) > $o ).
tff(decl_119,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(decl_120,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_122,type,
c_Rings_Oinverse__class_Oinverse: $i > $i ).
tff(decl_123,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_124,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_125,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_126,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_127,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_128,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_129,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_130,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_131,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_132,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_133,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_134,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_135,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_136,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_137,type,
class_Rings_Oring: $i > $o ).
tff(decl_138,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_139,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_140,type,
class_Rings_Oordered__ring__abs: $i > $o ).
tff(decl_141,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_142,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_143,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_144,type,
class_Rings_Oidom: $i > $o ).
tff(decl_145,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_146,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_147,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_148,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_149,type,
tc_HOL_Obool: $i ).
tff(decl_150,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_151,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk2_1: $i > $i ).
tff(decl_153,type,
esk3_1: $i > $i ).
tff(decl_154,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_155,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_156,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_159,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_161,type,
esk11_1: $i > $i ).
tff(decl_162,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_166,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_167,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_169,type,
esk19_1: $i > $i ).
tff(decl_170,type,
esk20_1: $i > $i ).
tff(decl_171,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_172,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_173,type,
esk23_0: $i ).
tff(decl_174,type,
esk24_0: $i ).
tff(decl_175,type,
esk25_0: $i ).
tff(decl_176,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_177,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_178,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_179,type,
esk29_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_180,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_181,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_182,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_183,type,
esk33_0: $i ).
tff(decl_184,type,
esk34_0: $i ).
tff(decl_185,type,
esk35_0: $i ).
tff(decl_186,type,
esk36_0: $i ).
tff(decl_187,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_188,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_189,type,
esk39_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_190,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_191,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_192,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_193,type,
esk43_1: $i > $i ).
tff(decl_194,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_195,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_196,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_197,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_198,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_199,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_200,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_201,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_202,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_203,type,
esk53_3: ( $i * $i * $i ) > $i ).
fof(conj_0,conjecture,
? [X59] :
( c_SEQ_Osubseq(X59)
& ? [X106] :
! [X113] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X113)
=> ? [X25] :
! [X9] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25,X9)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X59,X9))),X106)),X113) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact__096_B_Be_O_A0_A_060_Ae_A_061_061_062_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Is_A_I_If_Ao_Ag_J_An_J_A_N_AComplex_Ax_Ay_J_A_060_Ae_096,axiom,
! [X24] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X24)
=> ? [X25] :
! [X9] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25,X9)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X9))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_B_Be_O_A0_A_060_Ae_A_061_061_062_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Is_A_I_If_Ao_Ag_J_An_J_A_N_AComplex_Ax_Ay_J_A_060_Ae_096) ).
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_hs,axiom,
c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_hs) ).
fof(c_0_4,negated_conjecture,
~ ? [X59] :
( c_SEQ_Osubseq(X59)
& ? [X106] :
! [X113] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X113)
=> ? [X25] :
! [X9] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25,X9)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X59,X9))),X106)),X113) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_5,plain,
! [X399,X401] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X399)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk11_1(X399),X401)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X401))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X399) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_B_Be_O_A0_A_060_Ae_A_061_061_062_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Is_A_I_If_Ao_Ag_J_An_J_A_N_AComplex_Ax_Ay_J_A_060_Ae_096])])])]) ).
fof(c_0_6,negated_conjecture,
! [X3083,X3084,X3086] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk48_2(X3083,X3084))
| ~ c_SEQ_Osubseq(X3083) )
& ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3086,esk49_3(X3083,X3084,X3086))
| ~ c_SEQ_Osubseq(X3083) )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X3083,esk49_3(X3083,X3084,X3086)))),X3084)),esk48_2(X3083,X3084))
| ~ c_SEQ_Osubseq(X3083) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
cnf(c_0_7,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk11_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,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]) ).
cnf(c_0_9,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X1,esk49_3(X1,X2,X3)))),X2)),esk48_2(X1,X2))
| ~ c_SEQ_Osubseq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X1))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk11_1(X2),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii),X2) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)),
inference(split_conjunct,[status(thm)],[fact_hs]) ).
cnf(c_0_12,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk11_1(esk48_2(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),esk49_3(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____),X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii),esk48_2(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_13,negated_conjecture,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk49_3(X2,X3,X1))
| ~ c_SEQ_Osubseq(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk48_2(X1,X2))
| ~ c_SEQ_Osubseq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii),esk48_2(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_11])]) ).
cnf(c_0_16,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii),esk48_2(X1,X2))
| ~ c_SEQ_Osubseq(X1) ),
inference(rw,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWW212+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Aug 27 22:46:15 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.13/0.47 start to proof: theBenchmark
% 194.14/194.14 % Version : CSE_E---1.5
% 194.14/194.14 % Problem : theBenchmark.p
% 194.14/194.14 % Proof found
% 194.14/194.14 % SZS status Theorem for theBenchmark.p
% 194.14/194.14 % SZS output start Proof
% See solution above
% 194.14/194.15 % Total time : 193.643000 s
% 194.14/194.15 % SZS output end Proof
% 194.14/194.15 % Total time : 193.687000 s
%------------------------------------------------------------------------------