%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 09:12:34 AM UTC 2026
% Result : Theorem 15.94s 2.45s
% Output : CNFRefutation 15.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 10 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 7 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax46,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uT$uout$u4'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax49,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uT$uin$u3'(X0)) ) ).
fof(ax51,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uT$uin$u1'(X0)) ) ).
fof(ax56,axiom,
'pred$uattacker'('constr$uCONST$u1') ).
fof(ax64,axiom,
! [X0,X1] :
( ( 'pred$uattacker'('tuple$uT$uin$u1'(X1))
& 'pred$uattacker'('tuple$uT$uin$u3'(X0)) )
=> 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective')) ) ).
fof(co0,conjecture,
'pred$uattacker'('name$uobjective') ).
fof(negated_conjecture,negated_conjecture,
~ 'pred$uattacker'('name$uobjective'),
inference(negate_conjecture,[status(cth)],[co0]) ).
cnf(c46,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uT$uout$u4'(X0)) ),
inference(clausification,[status(esa)],[ax46]) ).
cnf(c49,plain,
( 'pred$uattacker'('tuple$uT$uin$u3'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax49]) ).
cnf(c51,plain,
( 'pred$uattacker'('tuple$uT$uin$u1'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax51]) ).
cnf(c56,plain,
'pred$uattacker'('constr$uCONST$u1'),
inference(clausification,[status(esa)],[ax56]) ).
cnf(c64,plain,
( 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('tuple$uT$uin$u1'(X1))
| ~ 'pred$uattacker'('tuple$uT$uin$u3'(X0)) ),
inference(clausification,[status(esa)],[ax64]) ).
cnf(c65,plain,
~ 'pred$uattacker'('name$uobjective'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('tuple$uT$uin$u3'(X0))
| 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective')) ),
inference(resolution,[status(thm)],[c64,c51]) ).
cnf(d1,plain,
( ~ 'pred$uattacker'(X1)
| 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d0,c49]) ).
cnf(d2,plain,
( 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d1,c56]) ).
cnf(d3,plain,
'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective')),
inference(resolution,[status(thm)],[d2,c56]) ).
cnf(d4,plain,
'pred$uattacker'('name$uobjective'),
inference(resolution,[status(thm)],[d3,c46]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c65,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.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 : Sat Sep 26 16:36:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.94/2.45 % SZS status Theorem for theBenchmark.p
% 15.94/2.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------