%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS180+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 04:36:48 PM UTC 2026
% Result : Theorem 0.30s 1.62s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 103 ( 37 unt; 0 def)
% Number of atoms : 255 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 263 ( 111 ~; 84 |; 47 &)
% ( 12 <=>; 7 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 20 con; 0-2 aty)
% Number of variables : 232 ( 22 sgn 84 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(xora,axiom,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
<~> status(X3,X4,X2) )
<=> xora(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',xora) ).
fof(nevera,axiom,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
=> ~ status(X3,X4,X2) )
<=> nevera(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nevera) ).
fof(nota,axiom,
! [X1,X2] :
( ? [X3,X4] :
( status(X3,X4,X1)
& ~ status(X3,X4,X2) )
<=> nota(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(not,axiom,
! [X5,X6] :
( model(X5,X6)
<=> ~ model(X5,not(X6)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',not) ).
fof(completeness,axiom,
! [X5,X6] :
( model(X5,X6)
<~> model(X5,not(X6)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',completeness) ).
fof(isa_exclusive,conjecture,
! [X1,X2] :
? [X3,X4] :
( status(X3,X4,X1)
=> ~ ( isa(X1,X2)
& ( nota(X1,X2)
| nevera(X1,X2)
| xora(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_exclusive) ).
fof(sat_non_taut_pair,axiom,
? [X3,X4] :
( ? [X7] :
( model(X7,X3)
& model(X7,X4) )
& ? [X8] :
( ~ model(X8,X3)
| ~ model(X8,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',sat_non_taut_pair) ).
fof(mixed_pair,axiom,
? [X3,X4] :
( ? [X7] : model(X7,X3)
& ! [X8] :
( model(X8,X3)
=> model(X8,X4) )
& ? [X9] :
( ~ model(X9,X3)
& model(X9,X4) )
& ? [X10] : ~ model(X10,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mixed_pair) ).
fof(contradiction,axiom,
? [X6] :
! [X5] : ~ model(X5,X6),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',contradiction) ).
fof(non_thm_spt,axiom,
? [X7,X3,X4] :
( model(X7,X3)
& ~ model(X7,X4)
& ? [X8] : model(X8,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(satisfiable,axiom,
? [X6] :
( ? [X7] : model(X7,X6)
& ? [X8] : ~ model(X8,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',satisfiable) ).
fof(mighta,axiom,
! [X1,X2] :
( ? [X3,X4] :
( status(X3,X4,X1)
& status(X3,X4,X2) )
<=> mighta(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(isa,axiom,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
=> status(X3,X4,X2) )
<=> isa(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).
fof(tautology,axiom,
? [X6] :
! [X5] : model(X5,X6),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(i_0_14,plain,
! [X1,X2] :
( ! [X3,X4] :
~ ( status(X3,X4,X1)
<=> status(X3,X4,X2) )
<=> xora(X1,X2) ),
inference(fof_simplification,[status(thm)],[xora]) ).
fof(i_0_15,plain,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
=> ~ status(X3,X4,X2) )
<=> nevera(X1,X2) ),
inference(fof_simplification,[status(thm)],[nevera]) ).
fof(i_0_16,plain,
! [X1,X2] :
( ? [X3,X4] :
( status(X3,X4,X1)
& ~ status(X3,X4,X2) )
<=> nota(X1,X2) ),
inference(fof_simplification,[status(thm)],[nota]) ).
fof(i_0_17,plain,
! [X5,X6] :
( model(X5,X6)
<=> ~ model(X5,not(X6)) ),
inference(fof_simplification,[status(thm)],[not]) ).
fof(i_0_18,plain,
! [X5,X6] :
~ ( model(X5,X6)
<=> model(X5,not(X6)) ),
inference(fof_simplification,[status(thm)],[completeness]) ).
fof(i_0_19,negated_conjecture,
~ ! [X1,X2] :
? [X3,X4] :
( status(X3,X4,X1)
=> ~ ( isa(X1,X2)
& ( nota(X1,X2)
| nevera(X1,X2)
| xora(X1,X2) ) ) ),
inference(assume_negation,[status(cth)],[isa_exclusive]) ).
fof(i_0_20,plain,
? [X3,X4] :
( ? [X7] :
( model(X7,X3)
& model(X7,X4) )
& ? [X8] :
( ~ model(X8,X3)
| ~ model(X8,X4) ) ),
inference(fof_simplification,[status(thm)],[sat_non_taut_pair]) ).
fof(i_0_21,plain,
? [X3,X4] :
( ? [X7] : model(X7,X3)
& ! [X8] :
( model(X8,X3)
=> model(X8,X4) )
& ? [X9] :
( ~ model(X9,X3)
& model(X9,X4) )
& ? [X10] : ~ model(X10,X4) ),
inference(fof_simplification,[status(thm)],[mixed_pair]) ).
fof(i_0_22,plain,
? [X6] :
! [X5] : ~ model(X5,X6),
inference(fof_simplification,[status(thm)],[contradiction]) ).
fof(i_0_23,plain,
? [X7,X3,X4] :
( model(X7,X3)
& ~ model(X7,X4)
& ? [X8] : model(X8,X4) ),
inference(fof_simplification,[status(thm)],[non_thm_spt]) ).
fof(i_0_24,plain,
? [X6] :
( ? [X7] : model(X7,X6)
& ? [X8] : ~ model(X8,X6) ),
inference(fof_simplification,[status(thm)],[satisfiable]) ).
fof(i_0_25,plain,
! [X92,X93,X96,X97,X98,X99,X100,X101] :
( ( ~ status(esk9_2(X92,X93),esk10_2(X92,X93),X92)
| status(esk9_2(X92,X93),esk10_2(X92,X93),X93)
| xora(X92,X93) )
& ( ~ status(esk9_2(X92,X93),esk10_2(X92,X93),X93)
| status(esk9_2(X92,X93),esk10_2(X92,X93),X92)
| xora(X92,X93) )
& ( ~ status(X98,X99,X96)
| ~ status(X98,X99,X97)
| ~ xora(X96,X97) )
& ( status(X100,X101,X96)
| status(X100,X101,X97)
| ~ xora(X96,X97) ) ),
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)],[i_0_14])])])])])]) ).
fof(i_0_26,plain,
! [X84,X85,X88,X89,X90,X91] :
( ( status(esk7_2(X84,X85),esk8_2(X84,X85),X84)
| nevera(X84,X85) )
& ( status(esk7_2(X84,X85),esk8_2(X84,X85),X85)
| nevera(X84,X85) )
& ( ~ nevera(X88,X89)
| ~ status(X90,X91,X88)
| ~ status(X90,X91,X89) ) ),
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)],[i_0_15])])])])])]) ).
fof(i_0_27,plain,
! [X76,X77,X78,X79,X80,X81] :
( ( ~ status(X78,X79,X76)
| status(X78,X79,X77)
| nota(X76,X77) )
& ( status(esk5_2(X80,X81),esk6_2(X80,X81),X80)
| ~ nota(X80,X81) )
& ( ~ status(esk5_2(X80,X81),esk6_2(X80,X81),X81)
| ~ nota(X80,X81) ) ),
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)],[i_0_16])])])])])]) ).
fof(i_0_28,plain,
! [X60,X61,X62,X63,X64,X65] :
( ( ~ status(X62,X63,X60)
| ~ status(X62,X63,X61)
| mighta(X60,X61) )
& ( status(esk1_2(X64,X65),esk2_2(X64,X65),X64)
| ~ mighta(X64,X65) )
& ( status(esk1_2(X64,X65),esk2_2(X64,X65),X65)
| ~ mighta(X64,X65) ) ),
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)],[mighta])])])])])]) ).
fof(i_0_29,plain,
! [X68,X69,X72,X73,X74,X75] :
( ( status(esk3_2(X68,X69),esk4_2(X68,X69),X68)
| isa(X68,X69) )
& ( ~ status(esk3_2(X68,X69),esk4_2(X68,X69),X69)
| isa(X68,X69) )
& ( ~ isa(X72,X73)
| ~ status(X74,X75,X72)
| status(X74,X75,X73) ) ),
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)],[isa])])])])])]) ).
fof(i_0_30,plain,
! [X104,X105] :
( ( ~ model(X104,X105)
| ~ model(X104,not(X105)) )
& ( model(X104,not(X105))
| model(X104,X105) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_17])]) ).
fof(i_0_31,plain,
! [X102,X103] :
( ( ~ model(X102,X103)
| ~ model(X102,not(X103)) )
& ( model(X102,X103)
| model(X102,not(X103)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_18])]) ).
fof(i_0_32,negated_conjecture,
! [X129,X130] :
( status(X129,X130,esk29_0)
& isa(esk29_0,esk30_0)
& ( nota(esk29_0,esk30_0)
| nevera(esk29_0,esk30_0)
| xora(esk29_0,esk30_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_19])])]) ).
fof(i_0_33,plain,
( model(esk18_0,esk16_0)
& model(esk18_0,esk17_0)
& ( ~ model(esk19_0,esk16_0)
| ~ model(esk19_0,esk17_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_20])]) ).
fof(i_0_34,plain,
! [X120] :
( model(esk22_0,esk20_0)
& ( ~ model(X120,esk20_0)
| model(X120,esk21_0) )
& ~ model(esk23_0,esk20_0)
& model(esk23_0,esk21_0)
& ~ model(esk24_0,esk21_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_21])])])]) ).
fof(i_0_35,plain,
! [X112] : ~ model(X112,esk15_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_22])]) ).
fof(i_0_36,plain,
( model(esk25_0,esk26_0)
& ~ model(esk25_0,esk27_0)
& model(esk28_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_23])]) ).
fof(i_0_37,plain,
( model(esk13_0,esk12_0)
& ~ model(esk14_0,esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_24])]) ).
fof(i_0_38,plain,
! [X107] : model(X107,esk11_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).
cnf(i_0_39,plain,
( status(esk9_2(X1,X2),esk10_2(X1,X2),X1)
| xora(X1,X2)
| ~ status(esk9_2(X1,X2),esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_40,plain,
( status(esk9_2(X1,X2),esk10_2(X1,X2),X2)
| xora(X1,X2)
| ~ status(esk9_2(X1,X2),esk10_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_41,plain,
( ~ status(X1,X2,X3)
| ~ status(X1,X2,X4)
| ~ xora(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_42,plain,
( ~ nevera(X1,X2)
| ~ status(X3,X4,X1)
| ~ status(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_26]),
[final] ).
cnf(i_0_43,plain,
( ~ status(esk5_2(X1,X2),esk6_2(X1,X2),X2)
| ~ nota(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_27]),
[final] ).
cnf(i_0_44,plain,
( mighta(X3,X4)
| ~ status(X1,X2,X3)
| ~ status(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_28]),
[final] ).
cnf(i_0_45,plain,
( isa(X1,X2)
| ~ status(esk3_2(X1,X2),esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_46,plain,
( status(X3,X4,X2)
| ~ isa(X1,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_47,plain,
( status(X1,X2,X4)
| nota(X3,X4)
| ~ status(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_27]),
[final] ).
cnf(i_0_48,plain,
( status(X1,X2,X3)
| status(X1,X2,X4)
| ~ xora(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_49,plain,
( status(esk5_2(X1,X2),esk6_2(X1,X2),X1)
| ~ nota(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_27]),
[final] ).
cnf(i_0_50,plain,
( status(esk1_2(X1,X2),esk2_2(X1,X2),X1)
| ~ mighta(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_28]),
[final] ).
cnf(i_0_51,plain,
( status(esk1_2(X1,X2),esk2_2(X1,X2),X2)
| ~ mighta(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_28]),
[final] ).
cnf(i_0_52,plain,
( status(esk7_2(X1,X2),esk8_2(X1,X2),X1)
| nevera(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_26]),
[final] ).
cnf(i_0_53,plain,
( status(esk7_2(X1,X2),esk8_2(X1,X2),X2)
| nevera(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_26]),
[final] ).
cnf(i_0_54,plain,
( status(esk3_2(X1,X2),esk4_2(X1,X2),X1)
| isa(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_29]),
[final] ).
cnf(i_0_55,plain,
( ~ model(X1,X2)
| ~ model(X1,not(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_56,plain,
( ~ model(X1,X2)
| ~ model(X1,not(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_57,negated_conjecture,
status(X1,X2,esk29_0),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_58,plain,
( ~ model(esk19_0,esk16_0)
| ~ model(esk19_0,esk17_0) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_59,plain,
( model(X1,not(X2))
| model(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_30]),
[final] ).
cnf(i_0_60,plain,
( model(X1,X2)
| model(X1,not(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_31]),
[final] ).
cnf(i_0_61,negated_conjecture,
( nota(esk29_0,esk30_0)
| nevera(esk29_0,esk30_0)
| xora(esk29_0,esk30_0) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_62,plain,
( model(X1,esk21_0)
| ~ model(X1,esk20_0) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_63,plain,
~ model(X1,esk15_0),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_64,plain,
~ model(esk25_0,esk27_0),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_65,plain,
~ model(esk24_0,esk21_0),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_66,plain,
~ model(esk23_0,esk20_0),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_67,plain,
~ model(esk14_0,esk12_0),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_68,plain,
model(X1,esk11_0),
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_69,plain,
model(esk28_0,esk27_0),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_70,plain,
model(esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_71,plain,
model(esk23_0,esk21_0),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_72,plain,
model(esk22_0,esk20_0),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_73,plain,
model(esk18_0,esk17_0),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_74,plain,
model(esk18_0,esk16_0),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_75,plain,
model(esk13_0,esk12_0),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_76,negated_conjecture,
isa(esk29_0,esk30_0),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_77,plain,
~ nota(X1,esk29_0),
inference(scs_inference,[],[i_0_57,i_0_43]) ).
cnf(i_0_78,plain,
status(X1,X2,esk29_0),
inference(rename_variables,[],[i_0_57]) ).
cnf(i_0_79,plain,
( ~ status(esk5_2(X1,X2),esk6_2(X1,X2),X2)
| ~ nota(X1,X2) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_80,plain,
isa(X1,esk29_0),
inference(scs_inference,[],[i_0_57,i_0_78,i_0_43,i_0_45]) ).
cnf(i_0_81,plain,
status(X1,X2,esk29_0),
inference(rename_variables,[],[i_0_57]) ).
cnf(i_0_82,plain,
( ~ status(esk3_2(X1,X2),esk4_2(X1,X2),X2)
| isa(X1,X2) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_83,plain,
~ nevera(esk29_0,esk29_0),
inference(scs_inference,[],[i_0_57,i_0_78,i_0_81,i_0_43,i_0_45,i_0_42]) ).
cnf(i_0_84,plain,
( ~ status(X1,X2,X3)
| ~ nevera(X4,X3)
| ~ status(X1,X2,X4) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_85,plain,
mighta(esk29_0,esk29_0),
inference(scs_inference,[],[i_0_57,i_0_78,i_0_81,i_0_43,i_0_45,i_0_42,i_0_44]) ).
cnf(i_0_86,plain,
( ~ status(X1,X2,X3)
| mighta(X4,X3)
| ~ status(X1,X2,X4) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_87,plain,
status(X1,X2,esk30_0),
inference(scs_inference,[],[i_0_57,i_0_78,i_0_81,i_0_76,i_0_43,i_0_45,i_0_42,i_0_44,i_0_46]) ).
cnf(i_0_88,plain,
( ~ status(X1,X2,X3)
| status(X1,X2,X4)
| ~ isa(X3,X4) ),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_89,plain,
~ nota(X1,esk30_0),
inference(scs_inference,[],[i_0_87,i_0_43]) ).
cnf(i_0_90,plain,
status(X1,X2,esk30_0),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_91,plain,
( ~ status(esk5_2(X1,X2),esk6_2(X1,X2),X2)
| ~ nota(X1,X2) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_92,plain,
isa(X1,esk30_0),
inference(scs_inference,[],[i_0_87,i_0_90,i_0_43,i_0_45]) ).
cnf(i_0_93,plain,
status(X1,X2,esk30_0),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_94,plain,
( ~ status(esk3_2(X1,X2),esk4_2(X1,X2),X2)
| isa(X1,X2) ),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_95,plain,
~ nevera(esk29_0,esk30_0),
inference(scs_inference,[],[i_0_57,i_0_87,i_0_90,i_0_93,i_0_43,i_0_45,i_0_42]) ).
cnf(i_0_96,plain,
status(X1,X2,esk30_0),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_97,plain,
( ~ status(X1,X2,X3)
| ~ nevera(X4,X3)
| ~ status(X1,X2,X4) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_98,plain,
mighta(esk29_0,esk30_0),
inference(scs_inference,[],[i_0_57,i_0_87,i_0_90,i_0_93,i_0_96,i_0_43,i_0_45,i_0_42,i_0_44]) ).
cnf(i_0_99,plain,
status(X1,X2,esk30_0),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_100,plain,
( ~ status(X1,X2,X3)
| mighta(X4,X3)
| ~ status(X1,X2,X4) ),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_101,plain,
xora(esk29_0,esk30_0),
inference(scs_inference,[],[i_0_57,i_0_87,i_0_90,i_0_93,i_0_96,i_0_43,i_0_45,i_0_42,i_0_44,i_0_61]) ).
cnf(i_0_102,plain,
$false,
inference(scs_inference,[],[i_0_57,i_0_87,i_0_90,i_0_93,i_0_96,i_0_99,i_0_43,i_0_45,i_0_42,i_0_44,i_0_61,i_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS180+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n016.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:40:36 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.30/1.62 % Version : CSE_E---1.7
% 0.30/1.62 % Problem : theBenchmark.p
% 0.30/1.62 % SZS status Theorem for theBenchmark.p
% 0.30/1.62 % SZS output start CNFRefutation
% See solution above
% 0.30/1.68 % Total time : 1.270s
%------------------------------------------------------------------------------