%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS126+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:45:12 AM UTC 2026
% Result : Unsatisfiable 9.27s 1.55s
% Output : CNFRefutation 9.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 5 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 1 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cd1xcomp(X0) ) ).
fof(axiom_3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cd1(X0) ) ).
fof(axiom_7,axiom,
! [X0] :
( cd1(X0)
<=> ? [X1] : 'ra$uPx2'(X0,X1) ) ).
fof(axiom_8,axiom,
! [X0] :
( cd1xcomp(X0)
<=> ~ ? [X1] : 'ra$uPx2'(X0,X1) ) ).
fof(axiom_11,axiom,
cUnsatisfiable('i2003$u11$u14$u17$u22$u23554') ).
cnf(c4,plain,
( cd1xcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c5,plain,
( cd1(X0)
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c11,plain,
( 'ra$uPx2'(X0,sK12(X0))
| ~ cd1(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c13,plain,
( ~ 'ra$uPx2'(X0,X1)
| ~ cd1xcomp(X0) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c17,plain,
cUnsatisfiable('i2003$u11$u14$u17$u22$u23554'),
inference(clausification,[status(esa)],[axiom_11]) ).
cnf(d0,plain,
cd1('i2003$u11$u14$u17$u22$u23554'),
inference(resolution,[status(thm)],[c5,c17]) ).
cnf(d1,plain,
( ~ cd1xcomp(X0)
| ~ cd1(X0) ),
inference(resolution,[status(thm)],[c11,c13]) ).
cnf(d2,plain,
~ cd1xcomp('i2003$u11$u14$u17$u22$u23554'),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
cd1xcomp('i2003$u11$u14$u17$u22$u23554'),
inference(resolution,[status(thm)],[c4,c17]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS126+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.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 19:42:23 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.27/1.55 % SZS status Unsatisfiable for theBenchmark.p
% 9.27/1.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------