%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS217+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.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 : Tue May 5 04:36:51 PM UTC 2026
% Result : Theorem 222.41s 160.00s
% Output : CNFRefutation 223.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 96 ( 23 unt; 0 def)
% Number of atoms : 259 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 267 ( 104 ~; 104 |; 42 &)
% ( 10 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 214 ( 23 sgn 74 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nevera,axiom,
! [X7,X8] :
( ! [X1,X2] :
( status(X1,X2,X7)
=> ~ status(X1,X2,X8) )
<=> nevera(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',nevera) ).
fof(completeness,axiom,
! [X9,X10] :
( model(X9,X10)
<~> model(X9,not(X10)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',completeness) ).
fof(csa,axiom,
! [X1,X2] :
( ? [X3] :
( model(X3,X1)
& model(X3,not(X2)) )
<=> status(X1,X2,csa) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',csa) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(nota,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& ~ status(X1,X2,X8) )
<=> nota(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(noc,axiom,
! [X1,X2] :
( ( ? [X3] :
( model(X3,X1)
& model(X3,X2) )
& ? [X4] :
( model(X4,X1)
& model(X4,not(X2)) ) )
<=> status(X1,X2,noc) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',noc) ).
fof(mixed_pair,axiom,
? [X1,X2] :
( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( ~ model(X5,X1)
& model(X5,X2) )
& ? [X6] : ~ model(X6,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',mixed_pair) ).
fof(non_thm_spt,axiom,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(unp,axiom,
! [X1,X2] :
( ( ~ ? [X3] : model(X3,X1)
=> ~ ? [X4] : model(X4,X2) )
<=> status(X1,X2,unp) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',unp) ).
fof(sca,axiom,
! [X1,X2] :
( ( ~ ? [X3] : model(X3,X1)
& ? [X4] : model(X4,X2) )
<=> status(X1,X2,sca) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',sca) ).
fof(tautology,axiom,
? [X10] :
! [X9] : model(X9,X10),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(nota_noc_thm,conjecture,
nota(noc,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_noc_thm) ).
fof(c_0_12,plain,
! [X7,X8] :
( ! [X1,X2] :
( status(X1,X2,X7)
=> ~ status(X1,X2,X8) )
<=> nevera(X7,X8) ),
inference(fof_simplification,[status(thm)],[nevera]) ).
fof(c_0_13,plain,
! [X9,X10] :
~ ( model(X9,X10)
<=> model(X9,not(X10)) ),
inference(fof_simplification,[status(thm)],[completeness]) ).
fof(c_0_14,plain,
! [X273,X274,X275,X276,X277] :
( ( ~ model(X275,X273)
| ~ model(X275,not(X274))
| status(X273,X274,csa) )
& ( model(esk38_2(X276,X277),X276)
| ~ status(X276,X277,csa) )
& ( model(esk38_2(X276,X277),not(X277))
| ~ status(X276,X277,csa) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[csa])])])])])]) ).
fof(c_0_15,plain,
! [X319,X320,X323,X324,X325,X326] :
( ( status(esk49_2(X319,X320),esk50_2(X319,X320),X319)
| nevera(X319,X320) )
& ( status(esk49_2(X319,X320),esk50_2(X319,X320),X320)
| nevera(X319,X320) )
& ( ~ nevera(X323,X324)
| ~ status(X325,X326,X323)
| ~ status(X325,X326,X324) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])]) ).
fof(c_0_16,plain,
! [X167,X168,X170,X171,X172] :
( ( model(esk10_2(X167,X168),X167)
| status(X167,X168,thm) )
& ( ~ model(esk10_2(X167,X168),X168)
| status(X167,X168,thm) )
& ( ~ status(X170,X171,thm)
| ~ model(X172,X170)
| model(X172,X171) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm])])])])])]) ).
fof(c_0_17,plain,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& ~ status(X1,X2,X8) )
<=> nota(X7,X8) ),
inference(fof_simplification,[status(thm)],[nota]) ).
fof(c_0_18,plain,
! [X337,X338] :
( ( ~ model(X337,X338)
| ~ model(X337,not(X338)) )
& ( model(X337,X338)
| model(X337,not(X338)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_19,plain,
( model(esk38_2(X1,X2),not(X2))
| ~ status(X1,X2,csa) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( status(esk49_2(X1,X2),esk50_2(X1,X2),X1)
| nevera(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( model(X3,X2)
| ~ status(X1,X2,thm)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( status(esk49_2(X1,X2),esk50_2(X1,X2),X2)
| nevera(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( model(esk38_2(X1,X2),X1)
| ~ status(X1,X2,csa) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_24,plain,
! [X311,X312,X313,X314,X315,X316] :
( ( ~ status(X313,X314,X311)
| status(X313,X314,X312)
| nota(X311,X312) )
& ( status(esk47_2(X315,X316),esk48_2(X315,X316),X315)
| ~ nota(X315,X316) )
& ( ~ status(esk47_2(X315,X316),esk48_2(X315,X316),X316)
| ~ nota(X315,X316) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).
fof(c_0_25,plain,
! [X287,X288,X289,X290,X291,X292] :
( ( ~ model(X289,X287)
| ~ model(X289,X288)
| ~ model(X290,X287)
| ~ model(X290,not(X288))
| status(X287,X288,noc) )
& ( model(esk41_2(X291,X292),X291)
| ~ status(X291,X292,noc) )
& ( model(esk41_2(X291,X292),X292)
| ~ status(X291,X292,noc) )
& ( model(esk42_2(X291,X292),X291)
| ~ status(X291,X292,noc) )
& ( model(esk42_2(X291,X292),not(X292))
| ~ status(X291,X292,noc) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[noc])])])])])]) ).
cnf(c_0_26,plain,
( status(X1,X2,thm)
| ~ model(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
( model(esk10_2(X1,X2),X1)
| status(X1,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( ~ model(X1,X2)
| ~ model(X1,not(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( nevera(csa,X1)
| model(esk38_2(esk49_2(csa,X1),esk50_2(csa,X1)),not(esk50_2(csa,X1))) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_30,plain,
( nevera(X1,thm)
| model(X2,esk50_2(X1,thm))
| ~ model(X2,esk49_2(X1,thm)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
( nevera(csa,X1)
| model(esk38_2(esk49_2(csa,X1),esk50_2(csa,X1)),esk49_2(csa,X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
fof(c_0_32,plain,
? [X1,X2] :
( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( ~ model(X5,X1)
& model(X5,X2) )
& ? [X6] : ~ model(X6,X2) ),
inference(fof_simplification,[status(thm)],[mixed_pair]) ).
cnf(c_0_33,plain,
( status(X1,X2,X4)
| nota(X3,X4)
| ~ status(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( model(esk42_2(X1,X2),not(X2))
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( model(esk42_2(X1,X2),X1)
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,plain,
( ~ nevera(X1,X2)
| ~ status(X3,X4,X1)
| ~ status(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_37,plain,
status(X1,X1,thm),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_38,plain,
( nevera(csa,X1)
| ~ model(esk38_2(esk49_2(csa,X1),esk50_2(csa,X1)),esk50_2(csa,X1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
( nevera(csa,thm)
| model(esk38_2(esk49_2(csa,thm),esk50_2(csa,thm)),esk50_2(csa,thm)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_40,plain,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
inference(fof_simplification,[status(thm)],[non_thm_spt]) ).
fof(c_0_41,plain,
! [X133,X134,X135,X137,X138,X140] :
( ( ~ model(X135,X133)
| status(X133,X134,unp) )
& ( model(esk1_2(X133,X134),X134)
| status(X133,X134,unp) )
& ( ~ status(X137,X138,unp)
| model(esk2_2(X137,X138),X137)
| ~ model(X140,X138) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[unp])])])])])]) ).
fof(c_0_42,plain,
! [X355] :
( model(esk64_0,esk62_0)
& ( ~ model(X355,esk62_0)
| model(X355,esk63_0) )
& ~ model(esk65_0,esk62_0)
& model(esk65_0,esk63_0)
& ~ model(esk66_0,esk63_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
fof(c_0_43,plain,
! [X247,X248,X250,X251,X252,X253] :
( ( model(esk31_2(X247,X248),X247)
| ~ model(X250,X248)
| status(X247,X248,sca) )
& ( ~ model(X253,X251)
| ~ status(X251,X252,sca) )
& ( model(esk32_2(X251,X252),X252)
| ~ status(X251,X252,sca) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sca])])])])])]) ).
cnf(c_0_44,plain,
( model(esk41_2(X1,X2),X1)
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_45,plain,
( nevera(X1,X2)
| nota(X2,X3)
| status(esk49_2(X1,X2),esk50_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_22]) ).
cnf(c_0_46,plain,
( status(X2,X3,csa)
| ~ model(X1,X2)
| ~ model(X1,not(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,plain,
( nevera(noc,X1)
| model(esk42_2(esk49_2(noc,X1),esk50_2(noc,X1)),not(esk50_2(noc,X1))) ),
inference(spm,[status(thm)],[c_0_34,c_0_20]) ).
cnf(c_0_48,plain,
( nevera(noc,X1)
| model(esk42_2(esk49_2(noc,X1),esk50_2(noc,X1)),esk49_2(noc,X1)) ),
inference(spm,[status(thm)],[c_0_35,c_0_20]) ).
cnf(c_0_49,plain,
( ~ nevera(X1,thm)
| ~ status(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_50,plain,
nevera(csa,thm),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_51,plain,
( model(esk67_0,esk68_0)
& ~ model(esk67_0,esk69_0)
& model(esk70_0,esk69_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_40])]) ).
cnf(c_0_52,plain,
( status(X2,X3,unp)
| ~ model(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,plain,
model(esk64_0,esk62_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,plain,
( model(esk2_2(X1,X2),X1)
| ~ status(X1,X2,unp)
| ~ model(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,plain,
( model(esk32_2(X1,X2),X2)
| ~ status(X1,X2,sca) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_56,plain,
( ~ model(X1,X2)
| ~ status(X2,X3,sca) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_57,plain,
! [X342] : model(X342,esk53_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).
cnf(c_0_58,plain,
( nevera(noc,X1)
| model(esk41_2(esk49_2(noc,X1),esk50_2(noc,X1)),esk49_2(noc,X1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_20]) ).
cnf(c_0_59,plain,
( nevera(X1,X2)
| nota(X2,X3)
| ~ nevera(X4,X3)
| ~ status(esk49_2(X1,X2),esk50_2(X1,X2),X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_45]) ).
cnf(c_0_60,plain,
( nevera(noc,X1)
| status(X2,esk50_2(noc,X1),csa)
| ~ model(esk42_2(esk49_2(noc,X1),esk50_2(noc,X1)),X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_61,plain,
( nevera(noc,thm)
| model(esk42_2(esk49_2(noc,thm),esk50_2(noc,thm)),esk50_2(noc,thm)) ),
inference(spm,[status(thm)],[c_0_30,c_0_48]) ).
cnf(c_0_62,plain,
~ status(X1,X1,csa),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_63,negated_conjecture,
~ nota(noc,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nota_noc_thm])]) ).
cnf(c_0_64,plain,
( model(esk31_2(X1,X2),X1)
| status(X1,X2,sca)
| ~ model(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_65,plain,
model(esk70_0,esk69_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_66,plain,
status(esk62_0,X1,unp),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_67,plain,
( nevera(X1,unp)
| model(esk2_2(esk49_2(X1,unp),esk50_2(X1,unp)),esk49_2(X1,unp))
| ~ model(X2,esk50_2(X1,unp)) ),
inference(spm,[status(thm)],[c_0_54,c_0_22]) ).
cnf(c_0_68,plain,
( nevera(sca,X1)
| model(esk32_2(esk49_2(sca,X1),esk50_2(sca,X1)),esk50_2(sca,X1)) ),
inference(spm,[status(thm)],[c_0_55,c_0_20]) ).
cnf(c_0_69,plain,
( nevera(sca,X1)
| ~ model(X2,esk49_2(sca,X1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_20]) ).
cnf(c_0_70,plain,
model(X1,esk53_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_71,plain,
( nevera(X1,X2)
| ~ nevera(X3,X1)
| ~ status(esk49_2(X1,X2),esk50_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_20]) ).
cnf(c_0_72,plain,
( nevera(noc,X1)
| status(esk49_2(noc,X1),X2,unp) ),
inference(spm,[status(thm)],[c_0_52,c_0_58]) ).
cnf(c_0_73,plain,
( nevera(X1,X2)
| nota(X2,X3)
| ~ nevera(X2,X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_22]) ).
cnf(c_0_74,plain,
nevera(noc,thm),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_75,negated_conjecture,
~ nota(noc,thm),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_76,plain,
( status(X2,X3,noc)
| ~ model(X1,X2)
| ~ model(X1,X3)
| ~ model(X4,X2)
| ~ model(X4,not(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_77,plain,
( model(X1,X2)
| model(X1,not(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_78,plain,
( model(X1,esk63_0)
| ~ model(X1,esk62_0) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_79,plain,
( status(X1,esk69_0,sca)
| model(esk31_2(X1,esk69_0),X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_80,plain,
( ~ nevera(X1,unp)
| ~ status(esk62_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_66]) ).
cnf(c_0_81,plain,
nevera(sca,unp),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_82,plain,
status(esk53_0,X1,unp),
inference(spm,[status(thm)],[c_0_52,c_0_70]) ).
cnf(c_0_83,plain,
( nevera(noc,X1)
| ~ nevera(unp,noc) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_84,plain,
nevera(X1,noc),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_85,plain,
( status(X1,X2,noc)
| model(X3,X2)
| ~ model(X3,X1)
| ~ model(X4,X2)
| ~ model(X4,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_86,plain,
( status(esk62_0,esk69_0,sca)
| model(esk31_2(esk62_0,esk69_0),esk63_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_87,plain,
~ status(esk62_0,X1,sca),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,plain,
( ~ nevera(X1,unp)
| ~ status(esk53_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_82]) ).
cnf(c_0_89,plain,
nevera(noc,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_90,plain,
( status(esk53_0,X1,noc)
| model(X2,X1)
| ~ model(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_70]),c_0_70])]) ).
cnf(c_0_91,plain,
model(esk31_2(esk62_0,esk69_0),esk63_0),
inference(sr,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,plain,
~ status(esk53_0,X1,noc),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_93,plain,
~ model(esk66_0,esk63_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_94,plain,
model(X1,esk63_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_95,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS217+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n002.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 20:41:01 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 222.41/160.00 % Version : CSE_E---1.7
% 222.41/160.00 % Problem : theBenchmark.p
% 222.41/160.00 % SZS status Theorem for theBenchmark.p
% 222.41/160.00 % SZS output start CNFRefutation
% See solution above
% 223.72/161.25 % Total time : 113.227s
%------------------------------------------------------------------------------