%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS268+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 07:45:27 AM UTC 2026
% Result : Theorem 15.33s 7.59s
% Output : CNFRefutation 15.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 13 |; 7 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 12 sgn 9 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ) ).
fof(wca,axiom,
! [X0,X1] :
( ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,wca) ) ).
fof(mighta,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ) ).
fof(contradiction,axiom,
? [X0] :
! [X1] : ~ model(X1,X0) ).
fof(mixed_pair,axiom,
? [X0,X1] :
( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0) ) ).
fof(mighta_wca_thm,conjecture,
mighta(wca,thm) ).
fof(negated_conjecture,negated_conjecture,
~ mighta(wca,thm),
inference(negate_conjecture,[status(cth)],[mighta_wca_thm]) ).
cnf(c15,plain,
( status(X0,X1,thm)
| model(sK28(X0,X1),X0) ),
inference(clausification,[status(esa)],[thm]) ).
cnf(c72,plain,
( status(X0,X2,wca)
| model(X3,X2)
| ~ model(X1,X2)
| model(sK102(X0),X0) ),
inference(clausification,[status(esa)],[wca]) ).
cnf(c89,plain,
( mighta(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[mighta]) ).
cnf(c116,plain,
~ model(X0,sK164),
inference(clausification,[status(esa)],[contradiction]) ).
cnf(c123,plain,
model(sK174,sK171),
inference(clausification,[status(esa)],[mixed_pair]) ).
cnf(c124,plain,
~ model(sK175,sK171),
inference(clausification,[status(esa)],[mixed_pair]) ).
cnf(c128,plain,
~ mighta(wca,thm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
status(sK164,X0,thm),
inference(resolution,[status(thm)],[c15,c116]) ).
cnf(d1,plain,
( mighta(X1,thm)
| ~ status(sK164,X0,X1) ),
inference(resolution,[status(thm)],[c89,d0]) ).
cnf(d2,plain,
( model(sK102(sK164),sK164)
| ~ model(X2,X1)
| model(X0,X1)
| mighta(wca,thm) ),
inference(resolution,[status(thm)],[d1,c72]) ).
cnf(d3,plain,
( model(sK102(sK164),sK164)
| model(X2,X1)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[c128,d2]) ).
cnf(d4,plain,
( ~ model(X2,X1)
| model(X0,X1) ),
inference(resolution,[status(thm)],[c116,d3]) ).
cnf(d5,plain,
model(X0,sK171),
inference(resolution,[status(thm)],[d4,c123]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,c124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS268+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 19:56:42 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.33/7.59 % SZS status Theorem for theBenchmark.p
% 15.33/7.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------