%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS234+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 : n012.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 07:45:24 AM UTC 2026
% Result : Theorem 8.95s 23.70s
% Output : CNFRefutation 8.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 57 ( 25 ~; 23 |; 2 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 8 sgn 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ) ).
fof(uns,axiom,
! [X0,X1] :
( ( ! [X3] : model(X3,not(X1))
& ! [X2] : model(X2,X0) )
<=> status(X0,X1,uns) ) ).
fof(mighta,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ) ).
fof(nevera,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> ~ status(X2,X3,X1) )
<=> nevera(X0,X1) ) ).
fof(completeness,axiom,
! [X0,X1] :
~ ( model(X0,X1)
<=> model(X0,not(X1)) ) ).
fof(nevera_uns_thm,conjecture,
nevera(uns,thm) ).
fof(negated_conjecture,negated_conjecture,
~ nevera(uns,thm),
inference(negate_conjecture,[status(cth)],[nevera_uns_thm]) ).
cnf(c17,plain,
( ~ status(X1,X2,thm)
| model(X0,X2)
| ~ model(X0,X1) ),
inference(clausification,[status(esa)],[thm]) ).
cnf(c80,plain,
( ~ status(X1,X2,uns)
| model(X0,X1) ),
inference(clausification,[status(esa)],[uns]) ).
cnf(c81,plain,
( ~ status(X2,X1,uns)
| model(X0,not(X1)) ),
inference(clausification,[status(esa)],[uns]) ).
cnf(c89,plain,
( mighta(X2,X3)
| ~ status(X0,X1,X3)
| ~ status(X0,X1,X2) ),
inference(clausification,[status(esa)],[mighta]) ).
cnf(c90,plain,
( ~ mighta(X0,X1)
| status(sK129(X0,X1),sK130(X0,X1),X0) ),
inference(clausification,[status(esa)],[mighta]) ).
cnf(c91,plain,
( ~ mighta(X0,X1)
| status(sK129(X0,X1),sK130(X0,X1),X1) ),
inference(clausification,[status(esa)],[mighta]) ).
cnf(c98,plain,
( nevera(X0,X1)
| status(sK145(X0,X1),sK146(X0,X1),X0) ),
inference(clausification,[status(esa)],[nevera]) ).
cnf(c99,plain,
( nevera(X0,X1)
| status(sK145(X0,X1),sK146(X0,X1),X1) ),
inference(clausification,[status(esa)],[nevera]) ).
cnf(c109,plain,
( ~ model(X0,X1)
| ~ model(X0,not(X1)) ),
inference(clausification,[status(esa)],[completeness]) ).
cnf(c128,plain,
~ nevera(uns,thm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( mighta(X2,X0)
| ~ status(sK145(X0,X1),sK146(X0,X1),X2)
| nevera(X0,X1) ),
inference(resolution,[status(thm)],[c98,c89]) ).
cnf(d1,plain,
( nevera(X1,X0)
| nevera(X1,X0)
| mighta(X0,X1) ),
inference(resolution,[status(thm)],[d0,c99]) ).
cnf(d2,plain,
mighta(thm,uns),
inference(resolution,[status(thm)],[d1,c128]) ).
cnf(d3,plain,
( model(X1,not(sK130(X0,uns)))
| ~ mighta(X0,uns) ),
inference(resolution,[status(thm)],[c91,c81]) ).
cnf(d4,plain,
( ~ model(X1,sK130(X0,uns))
| ~ mighta(X0,uns) ),
inference(resolution,[status(thm)],[d3,c109]) ).
cnf(d5,plain,
( model(X1,sK129(X0,uns))
| ~ mighta(X0,uns) ),
inference(resolution,[status(thm)],[c91,c80]) ).
cnf(d6,plain,
( ~ model(X1,sK129(thm,X0))
| model(X1,sK130(thm,X0))
| ~ mighta(thm,X0) ),
inference(resolution,[status(thm)],[c90,c17]) ).
cnf(d7,plain,
( ~ mighta(thm,uns)
| ~ mighta(thm,uns)
| model(X0,sK130(thm,uns)) ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( ~ mighta(thm,uns)
| ~ mighta(thm,uns) ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS234+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/15.96 % Computer : n012.cluster.edu
% 0.07/15.96 % Model : x86_64 x86_64
% 0.07/15.96 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/15.96 % Memory : 8046.5625MB
% 0.07/15.96 % OS : Linux 6.8.0-71-generic
% 0.07/15.96 % CPULimit : 300
% 0.07/15.96 % WCLimit : 300
% 0.07/15.96 % DateTime : Fri Sep 25 19:47:53 UTC 2026
% 0.07/15.96 % CPUTime :
% 0.07/15.96 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.95/23.70 % SZS status Theorem for theBenchmark.p
% 8.95/23.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------