%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS105+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 : 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 07:45:10 AM UTC 2026
% Result : Unsatisfiable 10.52s 2.95s
% Output : CNFRefutation 10.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 15 ~; 14 |; 0 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 24 ( 1 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cdxcomp(X0) ) ).
fof(axiom_3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cc(X0) ) ).
fof(axiom_4,axiom,
! [X0] :
( cc(X0)
=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ) ).
fof(axiom_5,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : 'ra$uPx1'(X0,X1) ) ).
fof(axiom_6,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : 'ra$uPx1'(X0,X1) ) ).
fof(axiom_7,axiom,
! [X0] :
( 'ca$uAx2'(X0)
<=> ! [X1] :
( rr(X0,X1)
=> cc(X1) ) ) ).
fof(axiom_8,axiom,
! [X0] :
( 'ca$uAx2'(X0)
=> cd(X0) ) ).
fof(axiom_9,axiom,
cUnsatisfiable('i2003$u11$u14$u17$u20$u53634') ).
cnf(c4,plain,
( cdxcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c5,plain,
( cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c6,plain,
( cc(X1)
| ~ rr(X0,X1)
| ~ cc(X0) ),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c7,plain,
( ~ 'ra$uPx1'(X0,X1)
| ~ cd(X0) ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c9,plain,
( 'ra$uPx1'(X0,sK10(X0))
| ~ cdxcomp(X0) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c12,plain,
( rr(X0,sK14(X0))
| 'ca$uAx2'(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c13,plain,
( ~ cc(sK14(X0))
| 'ca$uAx2'(X0) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c14,plain,
( cd(X0)
| ~ 'ca$uAx2'(X0) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c15,plain,
cUnsatisfiable('i2003$u11$u14$u17$u20$u53634'),
inference(clausification,[status(esa)],[axiom_9]) ).
cnf(d0,plain,
( ~ cd(X0)
| ~ cdxcomp(X0) ),
inference(resolution,[status(thm)],[c9,c7]) ).
cnf(d1,plain,
cc('i2003$u11$u14$u17$u20$u53634'),
inference(resolution,[status(thm)],[c5,c15]) ).
cnf(d2,plain,
( ~ cc(X0)
| cc(sK14(X0))
| 'ca$uAx2'(X0) ),
inference(resolution,[status(thm)],[c12,c6]) ).
cnf(d3,plain,
( 'ca$uAx2'(X0)
| 'ca$uAx2'(X0)
| ~ cc(X0) ),
inference(resolution,[status(thm)],[d2,c13]) ).
cnf(d4,plain,
'ca$uAx2'('i2003$u11$u14$u17$u20$u53634'),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
cd('i2003$u11$u14$u17$u20$u53634'),
inference(resolution,[status(thm)],[d4,c14]) ).
cnf(d6,plain,
~ cdxcomp('i2003$u11$u14$u17$u20$u53634'),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
cdxcomp('i2003$u11$u14$u17$u20$u53634'),
inference(resolution,[status(thm)],[c4,c15]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS105+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
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 19:40:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.52/2.95 % SZS status Unsatisfiable for theBenchmark.p
% 10.52/2.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------