%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS233+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 : n009.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 04:36:52 PM UTC 2026
% Result : Theorem 20.03s 12.57s
% Output : CNFRefutation 20.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 68 ( 25 ~; 26 |; 8 &)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 35 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nevera,axiom,
! [X7,X8] :
( ! [X1,X2] :
( status(X1,X2,X7)
=> ~ status(X1,X2,X8) )
<=> nevera(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nevera) ).
fof(completeness,axiom,
! [X9,X10] :
( model(X9,X10)
<~> model(X9,not(X10)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(nevera_csa_thm,conjecture,
nevera(csa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nevera_csa_thm) ).
fof(c_0_5,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_6,plain,
! [X9,X10] :
~ ( model(X9,X10)
<=> model(X9,not(X10)) ),
inference(fof_simplification,[status(thm)],[completeness]) ).
fof(c_0_7,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_8,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_5])])])])])]) ).
fof(c_0_9,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_10,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_6])]) ).
cnf(c_0_11,plain,
( model(esk38_2(X1,X2),not(X2))
| ~ status(X1,X2,csa) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( status(esk49_2(X1,X2),esk50_2(X1,X2),X1)
| nevera(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( model(X3,X2)
| ~ status(X1,X2,thm)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( status(esk49_2(X1,X2),esk50_2(X1,X2),X2)
| nevera(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( model(esk38_2(X1,X2),X1)
| ~ status(X1,X2,csa) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,negated_conjecture,
~ nevera(csa,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nevera_csa_thm])]) ).
cnf(c_0_17,plain,
( ~ model(X1,X2)
| ~ model(X1,not(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,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_11,c_0_12]) ).
cnf(c_0_19,plain,
( nevera(X1,thm)
| model(X2,esk50_2(X1,thm))
| ~ model(X2,esk49_2(X1,thm)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,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_15,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
~ nevera(csa,thm),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,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_17,c_0_18]) ).
cnf(c_0_23,plain,
model(esk38_2(esk49_2(csa,thm),esk50_2(csa,thm)),esk50_2(csa,thm)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_24,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS233+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
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:42:26 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 20.03/12.57 % Version : CSE_E---1.7
% 20.03/12.57 % Problem : theBenchmark.p
% 20.03/12.57 % SZS status Theorem for theBenchmark.p
% 20.03/12.57 % SZS output start CNFRefutation
% See solution above
% 20.13/12.65 % Total time : 9.386s
%------------------------------------------------------------------------------