%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS256+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 : n014.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 9.62s 4.48s
% Output : CNFRefutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 11 ~; 10 |; 3 &)
% ( 4 <=>; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 3 sgn 7 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(esa,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
<=> ? [X3] : model(X3,X1) )
<=> status(X0,X1,esa) ) ).
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(sat_non_taut_pair,axiom,
? [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) )
& ? [X2] :
( model(X2,X1)
& model(X2,X0) ) ) ).
fof(mighta_esa_thm,conjecture,
mighta(esa,thm) ).
fof(negated_conjecture,negated_conjecture,
~ mighta(esa,thm),
inference(negate_conjecture,[status(cth)],[mighta_esa_thm]) ).
cnf(c8,plain,
( status(X3,X1,esa)
| ~ model(X2,X3)
| ~ model(X0,X1) ),
inference(clausification,[status(esa)],[esa]) ).
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(c118,plain,
model(sK168,sK167),
inference(clausification,[status(esa)],[sat_non_taut_pair]) ).
cnf(c128,plain,
~ mighta(esa,thm),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( status(sK167,X1,esa)
| ~ model(X0,X1) ),
inference(resolution,[status(thm)],[c8,c118]) ).
cnf(d1,plain,
status(sK167,sK167,esa),
inference(resolution,[status(thm)],[d0,c118]) ).
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(esa,thm),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c128,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS256+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
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 19:50:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.62/4.48 % SZS status Theorem for theBenchmark.p
% 9.62/4.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------