%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW955+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 11.87s 7.06s
% Output : CNFRefutation 11.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 17 unt; 0 def)
% Number of atoms : 60 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 18 ~; 15 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 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 : 30 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax45,axiom,
! [X0,X1] : 'constr$udec'('constr$uenc'(X1,X0),X0) = X1 ).
fof(ax46,axiom,
! [X0,X1] : 'constr$ucomm$udec'('constr$ucomm$uenc'(X1,X0),X0) = X1 ).
fof(ax50,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('constr$udec'(X0,X1)) ) ).
fof(ax56,axiom,
'pred$uattacker'('constr$uCONST$u1') ).
fof(ax65,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uA$uout$u4'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax67,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uA$uout$u3'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax69,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uA$uout$u1'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax70,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uA$uin$u2'(X0)) ) ).
fof(ax77,axiom,
'pred$uattacker'('tuple$uA$uout$u1'('constr$ucomm$uenc'('name$um$u9','name$uKa'))) ).
fof(ax78,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uA$uin$u2'(X0))
=> 'pred$uattacker'('tuple$uA$uout$u3'('constr$ucomm$udec'(X0,'name$uKa'))) ) ).
fof(ax79,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uA$uin$u2'(X0))
=> 'pred$uattacker'('tuple$uA$uout$u4'('constr$uenc'('name$uobjective','name$um$u9'))) ) ).
fof(co0,conjecture,
'pred$uattacker'('name$uobjective') ).
fof(negated_conjecture,negated_conjecture,
~ 'pred$uattacker'('name$uobjective'),
inference(negate_conjecture,[status(cth)],[co0]) ).
cnf(c45,plain,
'constr$udec'('constr$uenc'(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[ax45]) ).
cnf(c46,plain,
'constr$ucomm$udec'('constr$ucomm$uenc'(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[ax46]) ).
cnf(c50,plain,
( 'pred$uattacker'('constr$udec'(X0,X1))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax50]) ).
cnf(c56,plain,
'pred$uattacker'('constr$uCONST$u1'),
inference(clausification,[status(esa)],[ax56]) ).
cnf(c65,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uA$uout$u4'(X0)) ),
inference(clausification,[status(esa)],[ax65]) ).
cnf(c67,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uA$uout$u3'(X0)) ),
inference(clausification,[status(esa)],[ax67]) ).
cnf(c69,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uA$uout$u1'(X0)) ),
inference(clausification,[status(esa)],[ax69]) ).
cnf(c70,plain,
( 'pred$uattacker'('tuple$uA$uin$u2'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax70]) ).
cnf(c77,plain,
'pred$uattacker'('tuple$uA$uout$u1'('constr$ucomm$uenc'('name$um$u9','name$uKa'))),
inference(clausification,[status(esa)],[ax77]) ).
cnf(c78,plain,
( 'pred$uattacker'('tuple$uA$uout$u3'('constr$ucomm$udec'(X0,'name$uKa')))
| ~ 'pred$uattacker'('tuple$uA$uin$u2'(X0)) ),
inference(clausification,[status(esa)],[ax78]) ).
cnf(c79,plain,
( 'pred$uattacker'('tuple$uA$uout$u4'('constr$uenc'('name$uobjective','name$um$u9')))
| ~ 'pred$uattacker'('tuple$uA$uin$u2'(X0)) ),
inference(clausification,[status(esa)],[ax79]) ).
cnf(c81,plain,
~ 'pred$uattacker'('name$uobjective'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'pred$uattacker'('constr$ucomm$uenc'('name$um$u9','name$uKa')),
inference(resolution,[status(thm)],[c69,c77]) ).
cnf(d1,plain,
( 'pred$uattacker'('constr$ucomm$udec'(X0,'name$uKa'))
| ~ 'pred$uattacker'('tuple$uA$uin$u2'(X0)) ),
inference(resolution,[status(thm)],[c78,c67]) ).
cnf(d2,plain,
( ~ 'pred$uattacker'('tuple$uA$uin$u2'('constr$ucomm$uenc'(X0,'name$uKa')))
| 'pred$uattacker'(X0) ),
inference(superposition,[status(thm)],[c46,d1]) ).
cnf(d3,plain,
( ~ 'pred$uattacker'('constr$ucomm$uenc'(X0,'name$uKa'))
| 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d2,c70]) ).
cnf(d4,plain,
'pred$uattacker'('name$um$u9'),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('constr$uenc'(X0,X1))
| 'pred$uattacker'(X0) ),
inference(superposition,[status(thm)],[c45,c50]) ).
cnf(d6,plain,
( ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('tuple$uA$uout$u4'('constr$uenc'('name$uobjective','name$um$u9'))) ),
inference(resolution,[status(thm)],[c79,c70]) ).
cnf(d7,plain,
'pred$uattacker'('tuple$uA$uout$u4'('constr$uenc'('name$uobjective','name$um$u9'))),
inference(resolution,[status(thm)],[d6,c56]) ).
cnf(d8,plain,
'pred$uattacker'('constr$uenc'('name$uobjective','name$um$u9')),
inference(resolution,[status(thm)],[d7,c65]) ).
cnf(d9,plain,
( 'pred$uattacker'('name$uobjective')
| ~ 'pred$uattacker'('name$um$u9') ),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
~ 'pred$uattacker'('name$um$u9'),
inference(resolution,[status(thm)],[c81,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW955+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n019.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.39 % DateTime : Sat Sep 26 16:37:56 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.87/7.06 % SZS status Theorem for theBenchmark.p
% 11.87/7.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------