%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS260+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 : n022.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 04:36:54 PM UTC 2026
% Result : Theorem 18.47s 11.42s
% Output : CNFRefutation 18.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 95 ( 34 ~; 32 |; 22 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 65 ( 8 sgn 31 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(wec,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) ) )
<=> status(X1,X2,wec) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',wec) ).
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(tautology,axiom,
? [X10] :
! [X9] : model(X9,X10),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(non_thm_spt,axiom,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(mighta,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& status(X1,X2,X8) )
<=> mighta(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(mighta_wec_thm,conjecture,
mighta(wec,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_wec_thm) ).
fof(c_0_6,plain,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) ) )
<=> status(X1,X2,wec) ),
inference(fof_simplification,[status(thm)],[wec]) ).
fof(c_0_7,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_8,plain,
! [X342] : model(X342,esk53_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).
fof(c_0_9,plain,
! [X190,X191,X192,X194,X195,X196,X198] :
( ( model(esk15_2(X190,X191),X190)
| ~ model(X192,X190)
| ~ model(X194,X191)
| model(X194,X190)
| status(X190,X191,wec) )
& ( ~ model(esk15_2(X190,X191),X191)
| ~ model(X192,X190)
| ~ model(X194,X191)
| model(X194,X190)
| status(X190,X191,wec) )
& ( model(esk16_2(X195,X196),X195)
| ~ status(X195,X196,wec) )
& ( ~ model(X198,X195)
| model(X198,X196)
| ~ status(X195,X196,wec) )
& ( model(esk17_2(X195,X196),X196)
| ~ status(X195,X196,wec) )
& ( ~ model(esk17_2(X195,X196),X195)
| ~ status(X195,X196,wec) ) ),
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_6])])])])])]) ).
fof(c_0_10,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_11,plain,
! [X295,X296,X297,X298,X299,X300] :
( ( ~ status(X297,X298,X295)
| ~ status(X297,X298,X296)
| mighta(X295,X296) )
& ( status(esk43_2(X299,X300),esk44_2(X299,X300),X299)
| ~ mighta(X299,X300) )
& ( status(esk43_2(X299,X300),esk44_2(X299,X300),X300)
| ~ mighta(X299,X300) ) ),
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])])])])])]) ).
cnf(c_0_12,plain,
( status(X1,X2,thm)
| ~ model(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
model(X1,esk53_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( model(X4,X1)
| status(X1,X2,wec)
| ~ model(esk15_2(X1,X2),X2)
| ~ model(X3,X1)
| ~ model(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,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_10])]) ).
cnf(c_0_16,plain,
( mighta(X3,X4)
| ~ status(X1,X2,X3)
| ~ status(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
status(X1,esk53_0,thm),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( status(X1,esk53_0,wec)
| model(X2,X1)
| ~ model(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_13]),c_0_13])]) ).
cnf(c_0_19,plain,
model(esk70_0,esk69_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,negated_conjecture,
~ mighta(wec,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[mighta_wec_thm])]) ).
cnf(c_0_21,plain,
( mighta(X1,thm)
| ~ status(X2,esk53_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( status(esk69_0,esk53_0,wec)
| model(X1,esk69_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ mighta(wec,thm),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
~ model(esk67_0,esk69_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,plain,
model(X1,esk69_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_26,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KRS260+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% 0.11/0.13 % 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
% 0.17/0.34 % Computer : n022.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 20:44:06 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 18.47/11.42 % Version : CSE_E---1.7
% 18.47/11.42 % Problem : theBenchmark.p
% 18.47/11.42 % SZS status Theorem for theBenchmark.p
% 18.47/11.42 % SZS output start CNFRefutation
% See solution above
% 18.47/11.49 % Total time : 8.383s
%------------------------------------------------------------------------------