%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS257+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 : n006.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 07:45:25 AM UTC 2026
% Result : Theorem 22.26s 5.97s
% Output : CNFRefutation 22.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 9 ~; 9 |; 2 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 2 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sat,axiom,
! [X0,X1] :
( ? [X2] :
( model(X2,X1)
& model(X2,X0) )
<=> status(X0,X1,sat) ) ).
fof(thm,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ) ).
fof(mighta,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ) ).
fof(tautology,axiom,
? [X0] :
! [X1] : model(X1,X0) ).
fof(mighta_sat_thm,conjecture,
mighta(sat,thm) ).
fof(negated_conjecture,negated_conjecture,
~ mighta(sat,thm),
inference(negate_conjecture,[status(cth)],[mighta_sat_thm]) ).
cnf(c12,plain,
( status(X1,X2,sat)
| ~ model(X0,X2)
| ~ model(X0,X1) ),
inference(clausification,[status(esa)],[sat]) ).
cnf(c15,plain,
( status(X0,X1,thm)
| model(sK28(X0,X1),X0) ),
inference(clausification,[status(esa)],[thm]) ).
cnf(c16,plain,
( status(X0,X1,thm)
| ~ model(sK28(X0,X1),X1) ),
inference(clausification,[status(esa)],[thm]) ).
cnf(c89,plain,
( mighta(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[mighta]) ).
cnf(c113,plain,
model(X0,sK159),
inference(clausification,[status(esa)],[tautology]) ).
cnf(c128,plain,
~ mighta(sat,thm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( status(X1,sK159,sat)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[c12,c113]) ).
cnf(d1,plain,
status(sK159,sK159,sat),
inference(resolution,[status(thm)],[d0,c113]) ).
cnf(d2,plain,
( status(X0,X0,thm)
| status(X0,X0,thm) ),
inference(resolution,[status(thm)],[c16,c15]) ).
cnf(d3,plain,
( mighta(X1,thm)
| ~ status(X0,X0,X1) ),
inference(resolution,[status(thm)],[c89,d2]) ).
cnf(d4,plain,
mighta(sat,thm),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c128,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS257+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n006.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Fri Sep 25 19:50:10 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.26/5.97 % SZS status Theorem for theBenchmark.p
% 22.26/5.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------