%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS254+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 : n008.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 20.69s 5.91s
% Output : CNFRefutation 20.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 9 ~; 9 |; 1 &)
% ( 3 <=>; 2 =>; 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; 2 con; 0-2 aty)
% Number of variables : 31 ( 5 sgn 7 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unp,axiom,
! [X0,X1] :
( ( ~ ? [X2] : model(X2,X0)
=> ~ ? [X3] : model(X3,X1) )
<=> status(X0,X1,unp) ) ).
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(mighta_unp_thm,conjecture,
mighta(unp,thm) ).
fof(negated_conjecture,negated_conjecture,
~ mighta(unp,thm),
inference(negate_conjecture,[status(cth)],[mighta_unp_thm]) ).
cnf(c0,plain,
( status(X1,X2,unp)
| ~ model(X0,X1) ),
inference(clausification,[status(esa)],[unp]) ).
cnf(c1,plain,
( status(X1,X0,unp)
| model(sK3(X0),X0) ),
inference(clausification,[status(esa)],[unp]) ).
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(c128,plain,
~ mighta(unp,thm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( status(X1,X2,unp)
| status(X0,X1,unp) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
status(X0,X0,unp),
inference(factoring,[status(thm)],[d0]) ).
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(unp,thm),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c128,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS254+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n008.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Fri Sep 25 19:50:39 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.69/5.91 % SZS status Theorem for theBenchmark.p
% 20.69/5.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------