%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS125+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 9.09s 1.69s
% Output : CNFRefutation 9.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 1 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 1 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cf(X0)
& ce3(X0) ) ) ).
fof(axiom_3,axiom,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ) ).
fof(axiom_6,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : 'ra$uPx1'(X0,X1) ) ).
fof(axiom_7,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : 'ra$uPx1'(X0,X1) ) ).
fof(axiom_10,axiom,
! [X0] :
( ce3(X0)
=> cc(X0) ) ).
fof(axiom_11,axiom,
! [X0] :
( cf(X0)
=> cd(X0) ) ).
fof(axiom_12,axiom,
cUnsatisfiable('i2003$u11$u14$u17$u22$u17947') ).
cnf(c4,plain,
( ce3(X0)
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c5,plain,
( cf(X0)
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c7,plain,
( cdxcomp(X0)
| ~ cc(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c10,plain,
( ~ 'ra$uPx1'(X0,X1)
| ~ cd(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c12,plain,
( 'ra$uPx1'(X0,sK10(X0))
| ~ cdxcomp(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c18,plain,
( cc(X0)
| ~ ce3(X0) ),
inference(clausification,[status(esa)],[axiom_10]) ).
cnf(c19,plain,
( cd(X0)
| ~ cf(X0) ),
inference(clausification,[status(esa)],[axiom_11]) ).
cnf(c20,plain,
cUnsatisfiable('i2003$u11$u14$u17$u22$u17947'),
inference(clausification,[status(esa)],[axiom_12]) ).
cnf(d0,plain,
cf('i2003$u11$u14$u17$u22$u17947'),
inference(resolution,[status(thm)],[c5,c20]) ).
cnf(d1,plain,
cd('i2003$u11$u14$u17$u22$u17947'),
inference(resolution,[status(thm)],[c19,d0]) ).
cnf(d2,plain,
( ~ cd(X0)
| ~ cdxcomp(X0) ),
inference(resolution,[status(thm)],[c12,c10]) ).
cnf(d3,plain,
~ cdxcomp('i2003$u11$u14$u17$u22$u17947'),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
ce3('i2003$u11$u14$u17$u22$u17947'),
inference(resolution,[status(thm)],[c4,c20]) ).
cnf(d5,plain,
cc('i2003$u11$u14$u17$u22$u17947'),
inference(resolution,[status(thm)],[c18,d4]) ).
cnf(d6,plain,
cdxcomp('i2003$u11$u14$u17$u22$u17947'),
inference(resolution,[status(thm)],[d5,c7]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS125+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n011.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 25 19:40:28 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.09/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 9.09/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------