%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW950+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 23.73s 3.81s
% Output : CNFRefutation 23.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 23 ~; 21 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 7 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax55,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uT$uout$u4'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax57,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uT$uout$u2'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax58,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('tuple$uT$uin$u3'(X0,X1)) ) ).
fof(ax61,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uT$uin$u1'(X0)) ) ).
fof(ax66,axiom,
'pred$uattacker'('constr$uCONST$u1') ).
fof(ax73,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uT$uin$u1'(X0))
=> 'pred$uattacker'('tuple$uT$uout$u2'('constr$uh'('constr$uxor'(X0,'constr$uxor'('name$uk0x30','name$uki'))))) ) ).
fof(ax74,axiom,
! [X0,X1] :
( ( 'pred$uattacker'('tuple$uT$uin$u1'(X1))
& 'pred$uattacker'('tuple$uT$uin$u3'(X0,'constr$uh'('constr$uxor'(X0,'constr$uxor'('name$uk0x30','name$uki'))))) )
=> 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective')) ) ).
fof(co0,conjecture,
'pred$uattacker'('name$uobjective') ).
fof(negated_conjecture,negated_conjecture,
~ 'pred$uattacker'('name$uobjective'),
inference(negate_conjecture,[status(cth)],[co0]) ).
cnf(c55,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uT$uout$u4'(X0)) ),
inference(clausification,[status(esa)],[ax55]) ).
cnf(c57,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uT$uout$u2'(X0)) ),
inference(clausification,[status(esa)],[ax57]) ).
cnf(c58,plain,
( 'pred$uattacker'('tuple$uT$uin$u3'(X0,X1))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax58]) ).
cnf(c61,plain,
( 'pred$uattacker'('tuple$uT$uin$u1'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax61]) ).
cnf(c66,plain,
'pred$uattacker'('constr$uCONST$u1'),
inference(clausification,[status(esa)],[ax66]) ).
cnf(c73,plain,
( 'pred$uattacker'('tuple$uT$uout$u2'('constr$uh'('constr$uxor'(X0,'constr$uxor'('name$uk0x30','name$uki')))))
| ~ 'pred$uattacker'('tuple$uT$uin$u1'(X0)) ),
inference(clausification,[status(esa)],[ax73]) ).
cnf(c74,plain,
( 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('tuple$uT$uin$u1'(X1))
| ~ 'pred$uattacker'('tuple$uT$uin$u3'(X0,'constr$uh'('constr$uxor'(X0,'constr$uxor'('name$uk0x30','name$uki'))))) ),
inference(clausification,[status(esa)],[ax74]) ).
cnf(c75,plain,
~ 'pred$uattacker'('name$uobjective'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'pred$uattacker'('constr$uh'('constr$uxor'(X0,'constr$uxor'('name$uk0x30','name$uki'))))
| ~ 'pred$uattacker'('tuple$uT$uin$u1'(X0)) ),
inference(resolution,[status(thm)],[c73,c57]) ).
cnf(d1,plain,
( ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('constr$uh'('constr$uxor'(X1,'constr$uxor'('name$uk0x30','name$uki'))))
| ~ 'pred$uattacker'('tuple$uT$uin$u1'(X0))
| 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective')) ),
inference(resolution,[status(thm)],[c74,c58]) ).
cnf(d2,plain,
( ~ 'pred$uattacker'('tuple$uT$uin$u1'(X0))
| ~ 'pred$uattacker'('tuple$uT$uin$u1'(X1))
| 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uT$uin$u1'(X1))
| 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d2,c61]) ).
cnf(d4,plain,
( ~ 'pred$uattacker'(X1)
| 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d3,c61]) ).
cnf(d5,plain,
( 'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d4,c66]) ).
cnf(d6,plain,
'pred$uattacker'('tuple$uT$uout$u4'('name$uobjective')),
inference(resolution,[status(thm)],[d5,c66]) ).
cnf(d7,plain,
'pred$uattacker'('name$uobjective'),
inference(resolution,[status(thm)],[d6,c55]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c75,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW950+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
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 16:36:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.73/3.81 % SZS status Theorem for theBenchmark.p
% 23.73/3.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------