%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS267+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:45:26 AM UTC 2026
% Result : Theorem 14.73s 12.26s
% Output : CNFRefutation 14.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 20 ~; 15 |; 2 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 11 sgn 13 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ) ).
fof(cax,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ) ).
fof(tca,axiom,
! [X0,X1] :
( ( ! [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,tca) ) ).
fof(mighta,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ) ).
fof(completeness,axiom,
! [X0,X1] :
~ ( model(X0,X1)
<=> model(X0,not(X1)) ) ).
fof(tautology,axiom,
? [X0] :
! [X1] : model(X1,X0) ).
fof(mighta_tca_thm,conjecture,
mighta(tca,thm) ).
fof(negated_conjecture,negated_conjecture,
~ mighta(tca,thm),
inference(negate_conjecture,[status(cth)],[mighta_tca_thm]) ).
cnf(c16,plain,
( status(X0,X1,thm)
| ~ model(sK28(X0,X1),X1) ),
inference(clausification,[status(esa)],[thm]) ).
cnf(c64,plain,
( status(X0,X1,cax)
| model(sK86(X0),X0) ),
inference(clausification,[status(esa)],[cax]) ).
cnf(c65,plain,
( ~ status(X1,X2,cax)
| ~ model(X0,X1) ),
inference(clausification,[status(esa)],[cax]) ).
cnf(c69,plain,
( status(X0,X1,tca)
| ~ model(sK97(X1),X1)
| model(sK96(X0),X0) ),
inference(clausification,[status(esa)],[tca]) ).
cnf(c89,plain,
( mighta(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[mighta]) ).
cnf(c108,plain,
( model(X0,not(X1))
| model(X0,X1) ),
inference(clausification,[status(esa)],[completeness]) ).
cnf(c109,plain,
( ~ model(X0,X1)
| ~ model(X0,not(X1)) ),
inference(clausification,[status(esa)],[completeness]) ).
cnf(c113,plain,
model(X0,sK159),
inference(clausification,[status(esa)],[tautology]) ).
cnf(c128,plain,
~ mighta(tca,thm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ model(X1,X0)
| model(sK86(X0),X0) ),
inference(resolution,[status(thm)],[c64,c65]) ).
cnf(d1,plain,
( ~ model(sK86(not(X1)),X1)
| ~ model(X0,not(X1)) ),
inference(resolution,[status(thm)],[d0,c109]) ).
cnf(d2,plain,
~ model(X0,not(sK159)),
inference(resolution,[status(thm)],[d1,c113]) ).
cnf(d3,plain,
( model(sK86(not(not(X1))),X1)
| ~ model(X0,not(not(X1))) ),
inference(resolution,[status(thm)],[d1,c108]) ).
cnf(d4,plain,
~ model(X0,not(not(not(sK159)))),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( status(X0,sK159,tca)
| model(sK96(X0),X0) ),
inference(resolution,[status(thm)],[c69,c113]) ).
cnf(d6,plain,
status(X0,sK159,thm),
inference(resolution,[status(thm)],[c16,c113]) ).
cnf(d7,plain,
( mighta(X1,thm)
| ~ status(X0,sK159,X1) ),
inference(resolution,[status(thm)],[c89,d6]) ).
cnf(d8,plain,
( model(sK96(X0),X0)
| mighta(tca,thm) ),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
model(sK96(X0),X0),
inference(resolution,[status(thm)],[c128,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS267+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n009.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Fri Sep 25 19:50:49 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.73/12.26 % SZS status Theorem for theBenchmark.p
% 14.73/12.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------