TSTP Solution File: SWW220+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW220+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 : n025.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 196.17s 196.20s
% Output : CNFRefutation 196.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 205
% Syntax : Number of formulae : 220 ( 6 unt; 202 typ; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 51 ( 21 ~; 20 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 331 ( 191 >; 140 *; 0 +; 0 <<)
% Number of predicates : 83 ( 82 usr; 2 prp; 0-5 aty)
% Number of functors : 120 ( 120 usr; 10 con; 0-5 aty)
% Number of variables : 34 ( 7 sgn; 10 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_24,type,
tc_RealDef_Oreal: $i ).
tff(decl_25,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_26,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_27,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
c_SEQ_Osubseq: $i > $o ).
tff(decl_29,type,
tc_Nat_Onat: $i ).
tff(decl_30,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i ) > $i ).
tff(decl_31,type,
hBOOL: $i > $o ).
tff(decl_32,type,
tc_Complex_Ocomplex: $i ).
tff(decl_33,type,
v_g____: $i > $i ).
tff(decl_34,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_36,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_37,type,
v_r: $i ).
tff(decl_38,type,
class_Groups_Ozero: $i > $o ).
tff(decl_39,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_40,type,
class_Orderings_Oord: $i > $o ).
tff(decl_41,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_42,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_43,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_44,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_45,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_46,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(decl_47,type,
c_SEQ_OBseq: ( $i * $i ) > $o ).
tff(decl_48,type,
c_SEQ_Omonoseq: ( $i * $i ) > $o ).
tff(decl_49,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_50,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_51,type,
c_HOL_Oequal__class_Oequal: ( $i * $i * $i ) > $o ).
tff(decl_52,type,
c_Groups_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_53,type,
c_RealDef_Opositive: $i > $o ).
tff(decl_54,type,
c_RealDef_Oreal: $i > $i ).
tff(decl_55,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_56,type,
c_Nat_Osemiring__1__class_Oof__nat: $i > $i ).
tff(decl_57,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_58,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_59,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_60,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
tff(decl_61,type,
class_Rings_Osemiring__1: $i > $o ).
tff(decl_62,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_63,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_64,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_65,type,
class_Power_Opower: $i > $o ).
tff(decl_66,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_67,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_68,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_69,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_70,type,
tc_Int_Oint: $i ).
tff(decl_71,type,
c_Nat_OSuc: $i > $i ).
tff(decl_72,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_73,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(decl_74,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_76,type,
c_Int_Onat: $i ).
tff(decl_77,type,
c_Polynomial_Odegree: ( $i * $i ) > $i ).
tff(decl_78,type,
c_Polynomial_Opoly__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
class_Fields_Ofield: $i > $o ).
tff(decl_80,type,
c_Nat__Transfer_Otransfer__morphism: ( $i * $i * $i * $i ) > $o ).
tff(decl_81,type,
class_Rings_Oidom: $i > $o ).
tff(decl_82,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_84,type,
c_Polynomial_Osynthetic__div: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_86,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_87,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_88,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_89,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_90,type,
class_Groups_Oone: $i > $o ).
tff(decl_91,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_92,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_93,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_94,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_95,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_96,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_97,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_98,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_99,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_100,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_101,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_102,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_103,type,
class_Rings_Oordered__ring__abs: $i > $o ).
tff(decl_104,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
c_Polynomial_Opcompose: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_108,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_109,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_110,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_111,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_112,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_113,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_114,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_115,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_116,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_117,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_118,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_119,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_120,type,
class_Rings_Oring: $i > $o ).
tff(decl_121,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_122,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_123,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_124,type,
c_Int_Onat__aux: ( $i * $i ) > $i ).
tff(decl_125,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_126,type,
c_Complex_Oii: $i ).
tff(decl_127,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_128,type,
c_Polynomial_Opdivmod__rel: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_129,type,
c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
c_Complex_Orcis: ( $i * $i ) > $i ).
tff(decl_131,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_132,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_133,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_134,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_135,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_136,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_137,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_138,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_139,type,
tc_HOL_Obool: $i ).
tff(decl_140,type,
v_thesis____: $o ).
tff(decl_141,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_142,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_143,type,
esk2_0: $i ).
tff(decl_144,type,
esk3_0: $i ).
tff(decl_145,type,
esk4_1: $i > $i ).
tff(decl_146,type,
esk5_1: $i > $i ).
tff(decl_147,type,
esk6_1: $i > $i ).
tff(decl_148,type,
esk7_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_149,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_150,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_153,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_155,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_156,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_159,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_161,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_162,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_163,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_166,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_167,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_172,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_173,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_174,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_175,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_176,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_178,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_180,type,
esk39_1: $i > $i ).
tff(decl_181,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk42_1: $i > $i ).
tff(decl_184,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_185,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_186,type,
esk45_1: $i > $i ).
tff(decl_187,type,
esk46_1: $i > $i ).
tff(decl_188,type,
esk47_1: $i > $i ).
tff(decl_189,type,
esk48_1: $i > $i ).
tff(decl_190,type,
esk49_1: $i > $i ).
tff(decl_191,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_192,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_193,type,
esk52_1: $i > $i ).
tff(decl_194,type,
esk53_1: $i > $i ).
tff(decl_195,type,
esk54_1: $i > $i ).
tff(decl_196,type,
esk55_1: $i > $i ).
tff(decl_197,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_198,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_199,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_200,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_201,type,
esk60_1: $i > $i ).
tff(decl_202,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_203,type,
esk62_3: ( $i * $i * $i ) > $i ).
tff(decl_204,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_205,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_206,type,
esk65_3: ( $i * $i * $i ) > $i ).
tff(decl_207,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_208,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_209,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_211,type,
esk70_3: ( $i * $i * $i ) > $i ).
tff(decl_212,type,
esk71_3: ( $i * $i * $i ) > $i ).
tff(decl_213,type,
esk72_3: ( $i * $i * $i ) > $i ).
tff(decl_214,type,
esk73_3: ( $i * $i * $i ) > $i ).
tff(decl_215,type,
esk74_1: $i > $i ).
tff(decl_216,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_217,type,
esk76_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_218,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_219,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_220,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_221,type,
esk80_3: ( $i * $i * $i ) > $i ).
tff(decl_222,type,
esk81_3: ( $i * $i * $i ) > $i ).
tff(decl_223,type,
esk82_3: ( $i * $i * $i ) > $i ).
fof(conj_0,hypothesis,
! [X6] :
( c_SEQ_Osubseq(X6)
=> ( ? [X7] :
! [X8] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X8)
=> ? [X9] :
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9),X10))
=> 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_g____(hAPP(X6,X10)),X7)),X8) ) )
=> v_thesis____ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096,axiom,
? [X6] :
( c_SEQ_Osubseq(X6)
& ? [X7] :
! [X8] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X8)
=> ? [X9] :
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X9),X10))
=> 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_g____(hAPP(X6,X10)),X7)),X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096) ).
fof(c_0_3,hypothesis,
! [X2919,X2920,X2922] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk77_2(X2919,X2920))
| v_thesis____
| ~ c_SEQ_Osubseq(X2919) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2922),esk78_3(X2919,X2920,X2922)))
| v_thesis____
| ~ c_SEQ_Osubseq(X2919) )
& ( ~ 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_g____(hAPP(X2919,esk78_3(X2919,X2920,X2922))),X2920)),esk77_2(X2919,X2920))
| v_thesis____
| ~ c_SEQ_Osubseq(X2919) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])])]) ).
fof(c_0_4,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
cnf(c_0_5,hypothesis,
( v_thesis____
| ~ 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_g____(hAPP(X1,esk78_3(X1,X2,X3))),X2)),esk77_2(X1,X2))
| ~ c_SEQ_Osubseq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X108,X110] :
( c_SEQ_Osubseq(esk2_0)
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X108)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk4_1(X108)),X110))
| 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_g____(hAPP(esk2_0,X110)),esk3_0)),X108) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096])])])]) ).
cnf(c_0_8,hypothesis,
( ~ c_SEQ_Osubseq(X1)
| ~ 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_g____(hAPP(X1,esk78_3(X1,X2,X3))),X2)),esk77_2(X1,X2)) ),
inference(sr,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,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_g____(hAPP(esk2_0,X2)),esk3_0)),X1)
| ~ 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_Nat_Onat,esk4_1(X1)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
c_SEQ_Osubseq(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),esk78_3(X2,X3,X1)))
| v_thesis____
| ~ c_SEQ_Osubseq(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,hypothesis,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk4_1(esk77_2(esk2_0,esk3_0))),esk78_3(esk2_0,esk3_0,X1)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk77_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_13,hypothesis,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),esk78_3(X2,X3,X1)))
| ~ c_SEQ_Osubseq(X2) ),
inference(sr,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_14,hypothesis,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk77_2(X1,X2))
| v_thesis____
| ~ c_SEQ_Osubseq(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,hypothesis,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk77_2(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_10])]) ).
cnf(c_0_16,hypothesis,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk77_2(X1,X2))
| ~ c_SEQ_Osubseq(X1) ),
inference(sr,[status(thm)],[c_0_14,c_0_6]) ).
cnf(c_0_17,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW220+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 17:45:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.60 start to proof: theBenchmark
% 196.17/196.20 % Version : CSE_E---1.5
% 196.17/196.20 % Problem : theBenchmark.p
% 196.17/196.20 % Proof found
% 196.17/196.20 % SZS status Theorem for theBenchmark.p
% 196.17/196.20 % SZS output start Proof
% See solution above
% 196.17/196.21 % Total time : 195.537000 s
% 196.17/196.21 % SZS output end Proof
% 196.17/196.21 % Total time : 195.591000 s
%------------------------------------------------------------------------------