%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW956+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 : n019.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 09:12:35 AM UTC 2026
% Result : Theorem 11.98s 7.00s
% Output : CNFRefutation 11.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 50 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 13 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax55,axiom,
! [X0,X1] : 'constr$udec'('constr$uenc'(X1,X0),X0) = X1 ).
fof(ax62,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('constr$udec'(X0,X1)) ) ).
fof(ax76,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uA$uout$u4'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax78,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uA$uout$u2'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax81,axiom,
! [X0,X1] :
( 'pred$uattacker'('tuple$uA$uout$u1'(X0,X1))
=> 'pred$uattacker'(X1) ) ).
fof(ax82,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uA$uin$u3'(X0)) ) ).
fof(ax89,axiom,
'pred$uattacker'('tuple$uA$uout$u1'('name$uP$u7','name$uG$u8')) ).
fof(ax90,axiom,
'pred$uattacker'('tuple$uA$uout$u2'('constr$umod'('constr$uexp'('name$uG$u8','name$uNa'),'name$uP$u7'))) ).
fof(ax91,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uA$uin$u3'(X0))
=> 'pred$uattacker'('tuple$uA$uout$u4'('constr$uenc'('name$uobjective','constr$umod'('constr$uexp'(X0,'name$uNa'),'name$uP$u7')))) ) ).
fof(co0,conjecture,
'pred$uattacker'('name$uobjective') ).
fof(negated_conjecture,negated_conjecture,
~ 'pred$uattacker'('name$uobjective'),
inference(negate_conjecture,[status(cth)],[co0]) ).
cnf(c55,plain,
'constr$udec'('constr$uenc'(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[ax55]) ).
cnf(c62,plain,
( 'pred$uattacker'('constr$udec'(X0,X1))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax62]) ).
cnf(c76,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uA$uout$u4'(X0)) ),
inference(clausification,[status(esa)],[ax76]) ).
cnf(c78,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uA$uout$u2'(X0)) ),
inference(clausification,[status(esa)],[ax78]) ).
cnf(c81,plain,
( 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('tuple$uA$uout$u1'(X0,X1)) ),
inference(clausification,[status(esa)],[ax81]) ).
cnf(c82,plain,
( 'pred$uattacker'('tuple$uA$uin$u3'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax82]) ).
cnf(c89,plain,
'pred$uattacker'('tuple$uA$uout$u1'('name$uP$u7','name$uG$u8')),
inference(clausification,[status(esa)],[ax89]) ).
cnf(c90,plain,
'pred$uattacker'('tuple$uA$uout$u2'('constr$umod'('constr$uexp'('name$uG$u8','name$uNa'),'name$uP$u7'))),
inference(clausification,[status(esa)],[ax90]) ).
cnf(c91,plain,
( 'pred$uattacker'('tuple$uA$uout$u4'('constr$uenc'('name$uobjective','constr$umod'('constr$uexp'(X0,'name$uNa'),'name$uP$u7'))))
| ~ 'pred$uattacker'('tuple$uA$uin$u3'(X0)) ),
inference(clausification,[status(esa)],[ax91]) ).
cnf(c93,plain,
~ 'pred$uattacker'('name$uobjective'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'pred$uattacker'('constr$umod'('constr$uexp'('name$uG$u8','name$uNa'),'name$uP$u7')),
inference(resolution,[status(thm)],[c90,c78]) ).
cnf(d1,plain,
( ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('constr$uenc'(X0,X1))
| 'pred$uattacker'(X0) ),
inference(superposition,[status(thm)],[c55,c62]) ).
cnf(d2,plain,
( 'pred$uattacker'('constr$uenc'('name$uobjective','constr$umod'('constr$uexp'(X0,'name$uNa'),'name$uP$u7')))
| ~ 'pred$uattacker'('tuple$uA$uin$u3'(X0)) ),
inference(resolution,[status(thm)],[c91,c76]) ).
cnf(d3,plain,
( 'pred$uattacker'('name$uobjective')
| ~ 'pred$uattacker'('constr$umod'('constr$uexp'(X0,'name$uNa'),'name$uP$u7'))
| ~ 'pred$uattacker'('tuple$uA$uin$u3'(X0)) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'pred$uattacker'('tuple$uA$uin$u3'(X0))
| ~ 'pred$uattacker'('constr$umod'('constr$uexp'(X0,'name$uNa'),'name$uP$u7')) ),
inference(resolution,[status(thm)],[c93,d3]) ).
cnf(d5,plain,
~ 'pred$uattacker'('tuple$uA$uin$u3'('name$uG$u8')),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
~ 'pred$uattacker'('name$uG$u8'),
inference(resolution,[status(thm)],[d5,c82]) ).
cnf(d7,plain,
'pred$uattacker'('name$uG$u8'),
inference(resolution,[status(thm)],[c81,c89]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW956+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
% 0.09/5.37 % Computer : n019.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 16:38:14 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.98/7.00 % SZS status Theorem for theBenchmark.p
% 11.98/7.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------