%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW948+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 43.31s 10.85s
% Output : CNFRefutation 43.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 58 ( 32 unt; 0 def)
% Number of atoms : 94 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 28 ~; 26 |; 2 &)
% ( 0 <=>; 8 =>; 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 : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 53 ( 2 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax66,axiom,
! [X0] : 'constr$uxor'(X0,X0) = 'constr$uZERO' ).
fof(ax67,axiom,
! [X0] : 'constr$uxor'(X0,'constr$uZERO') = X0 ).
fof(ax68,axiom,
! [X0,X1] : 'constr$uxor'(X0,X1) = 'constr$uxor'(X1,X0) ).
fof(ax69,axiom,
! [X0,X1,X2] : 'constr$uxor'(X0,'constr$uxor'(X1,X2)) = 'constr$uxor'('constr$uxor'(X0,X1),X2) ).
fof(ax70,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('constr$uxor'(X0,X1)) ) ).
fof(ax75,axiom,
! [X0,X1] :
( 'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u2'(X0,X1))
=> 'pred$uattacker'(X0) ) ).
fof(ax76,axiom,
! [X0,X1] :
( 'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u2'(X0,X1))
=> 'pred$uattacker'(X1) ) ).
fof(ax78,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u1'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax83,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uR$uout$u4'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax87,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uR$uout$u1'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax88,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('tuple$uR$uin$u2'(X0,X1)) ) ).
fof(ax101,axiom,
'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u1'('name$ur0x30$ufrom$u1st')) ).
fof(ax102,axiom,
'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u2'('name$ur1$ufrom$u1st','constr$uh'('constr$uxor'('constr$uxor'('name$ur0x30$ufrom$u1st','name$ur1$ufrom$u1st'),'name$uk')))) ).
fof(ax104,axiom,
'pred$uattacker'('tuple$uR$uout$u1'('name$ur0x30')) ).
fof(ax106,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uR$uin$u2'(X0,'constr$uh'('constr$uxor'('constr$uxor'('name$ur0x30',X0),'name$uk'))))
=> 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR')) ) ).
fof(co0,conjecture,
'pred$uattacker'('name$uobjective$uR') ).
fof(negated_conjecture,negated_conjecture,
~ 'pred$uattacker'('name$uobjective$uR'),
inference(negate_conjecture,[status(cth)],[co0]) ).
cnf(c66,plain,
'constr$uxor'(X0,X0) = 'constr$uZERO',
inference(clausification,[status(esa)],[ax66]) ).
cnf(c67,plain,
'constr$uxor'(X0,'constr$uZERO') = X0,
inference(clausification,[status(esa)],[ax67]) ).
cnf(c68,plain,
'constr$uxor'(X0,X1) = 'constr$uxor'(X1,X0),
inference(clausification,[status(esa)],[ax68]) ).
cnf(c69,plain,
'constr$uxor'(X0,'constr$uxor'(X1,X2)) = 'constr$uxor'('constr$uxor'(X0,X1),X2),
inference(clausification,[status(esa)],[ax69]) ).
cnf(c70,plain,
( 'pred$uattacker'('constr$uxor'(X0,X1))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax70]) ).
cnf(c75,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u2'(X0,X1)) ),
inference(clausification,[status(esa)],[ax75]) ).
cnf(c76,plain,
( 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u2'(X0,X1)) ),
inference(clausification,[status(esa)],[ax76]) ).
cnf(c78,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u1'(X0)) ),
inference(clausification,[status(esa)],[ax78]) ).
cnf(c83,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uR$uout$u4'(X0)) ),
inference(clausification,[status(esa)],[ax83]) ).
cnf(c87,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uR$uout$u1'(X0)) ),
inference(clausification,[status(esa)],[ax87]) ).
cnf(c88,plain,
( 'pred$uattacker'('tuple$uR$uin$u2'(X0,X1))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax88]) ).
cnf(c101,plain,
'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u1'('name$ur0x30$ufrom$u1st')),
inference(clausification,[status(esa)],[ax101]) ).
cnf(c102,plain,
'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u2'('name$ur1$ufrom$u1st','constr$uh'('constr$uxor'('constr$uxor'('name$ur0x30$ufrom$u1st','name$ur1$ufrom$u1st'),'name$uk')))),
inference(clausification,[status(esa)],[ax102]) ).
cnf(c104,plain,
'pred$uattacker'('tuple$uR$uout$u1'('name$ur0x30')),
inference(clausification,[status(esa)],[ax104]) ).
cnf(c106,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR'))
| ~ 'pred$uattacker'('tuple$uR$uin$u2'(X0,'constr$uh'('constr$uxor'('constr$uxor'('name$ur0x30',X0),'name$uk')))) ),
inference(clausification,[status(esa)],[ax106]) ).
cnf(c107,plain,
~ 'pred$uattacker'('name$uobjective$uR'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'pred$uattacker'('constr$uxor'(X0,X1))
| ~ 'pred$uattacker'(X2)
| 'pred$uattacker'('constr$uxor'(X0,'constr$uxor'(X1,X2))) ),
inference(superposition,[status(thm)],[c69,c70]) ).
cnf(d1,plain,
'constr$uxor'(X2,'constr$uxor'(X0,X1)) = 'constr$uxor'(X0,'constr$uxor'(X1,X2)),
inference(superposition,[status(thm)],[c69,c68]) ).
cnf(d2,plain,
'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u2'('name$ur1$ufrom$u1st','constr$uh'('constr$uxor'('name$ur0x30$ufrom$u1st','constr$uxor'('name$ur1$ufrom$u1st','name$uk'))))),
inference(demodulation,[status(thm)],[c102,c69]) ).
cnf(d3,plain,
'pred$uattacker'('tuple$uknowledge$ufrom$u1st$uround$uout$u2'('name$ur1$ufrom$u1st','constr$uh'('constr$uxor'('name$ur0x30$ufrom$u1st','constr$uxor'('name$uk','name$ur1$ufrom$u1st'))))),
inference(demodulation,[status(thm)],[d2,c68]) ).
cnf(d4,plain,
'pred$uattacker'('constr$uh'('constr$uxor'('name$ur0x30$ufrom$u1st','constr$uxor'('name$uk','name$ur1$ufrom$u1st')))),
inference(resolution,[status(thm)],[d3,c76]) ).
cnf(d5,plain,
'pred$uattacker'('constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur1$ufrom$u1st','name$ur0x30$ufrom$u1st')))),
inference(demodulation,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
'pred$uattacker'('constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur0x30$ufrom$u1st','name$ur1$ufrom$u1st')))),
inference(demodulation,[status(thm)],[d5,c68]) ).
cnf(d7,plain,
( ~ 'pred$uattacker'('tuple$uR$uin$u2'(X0,'constr$uh'('constr$uxor'('name$ur0x30','constr$uxor'(X0,'name$uk')))))
| 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR')) ),
inference(demodulation,[status(thm)],[c106,c69]) ).
cnf(d8,plain,
( ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('constr$uh'('constr$uxor'('name$ur0x30','constr$uxor'(X0,'name$uk'))))
| 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR')) ),
inference(resolution,[status(thm)],[d7,c88]) ).
cnf(d9,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR'))
| ~ 'pred$uattacker'('constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur0x30',X0))))
| ~ 'pred$uattacker'(X0) ),
inference(demodulation,[status(thm)],[d8,d1]) ).
cnf(d10,plain,
'constr$uxor'('constr$uZERO',X0) = X0,
inference(superposition,[status(thm)],[c68,c67]) ).
cnf(d11,plain,
'constr$uxor'(X0,'constr$uxor'(X0,X1)) = 'constr$uxor'('constr$uZERO',X1),
inference(superposition,[status(thm)],[c66,c69]) ).
cnf(d12,plain,
'constr$uxor'(X1,'constr$uxor'(X1,X0)) = X0,
inference(demodulation,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR'))
| ~ 'pred$uattacker'('constr$uxor'('name$ur0x30',X0))
| ~ 'pred$uattacker'('constr$uh'('constr$uxor'('name$uk',X0))) ),
inference(superposition,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR'))
| ~ 'pred$uattacker'('constr$uxor'('name$ur0x30','constr$uxor'('name$ur0x30$ufrom$u1st','name$ur1$ufrom$u1st'))) ),
inference(resolution,[status(thm)],[d13,d6]) ).
cnf(d15,plain,
( ~ 'pred$uattacker'('constr$uxor'('name$ur0x30','name$ur0x30$ufrom$u1st'))
| ~ 'pred$uattacker'('name$ur1$ufrom$u1st')
| 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR')) ),
inference(resolution,[status(thm)],[d14,d0]) ).
cnf(d16,plain,
'pred$uattacker'('name$ur1$ufrom$u1st'),
inference(resolution,[status(thm)],[d3,c75]) ).
cnf(d17,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR'))
| ~ 'pred$uattacker'('constr$uxor'('name$ur0x30','name$ur0x30$ufrom$u1st')) ),
inference(resolution,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
( ~ 'pred$uattacker'('name$ur0x30')
| ~ 'pred$uattacker'('name$ur0x30$ufrom$u1st')
| 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR')) ),
inference(resolution,[status(thm)],[d17,c70]) ).
cnf(d19,plain,
'pred$uattacker'('name$ur0x30$ufrom$u1st'),
inference(resolution,[status(thm)],[c78,c101]) ).
cnf(d20,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR'))
| ~ 'pred$uattacker'('name$ur0x30') ),
inference(resolution,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
'pred$uattacker'('name$ur0x30'),
inference(resolution,[status(thm)],[c87,c104]) ).
cnf(d22,plain,
'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective$uR')),
inference(resolution,[status(thm)],[d21,d20]) ).
cnf(d23,plain,
'pred$uattacker'('name$uobjective$uR'),
inference(resolution,[status(thm)],[d22,c83]) ).
cnf(d24,plain,
$false,
inference(resolution,[status(thm)],[c107,d23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW948+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n004.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 16:36:51 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.31/10.85 % SZS status Theorem for theBenchmark.p
% 43.31/10.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------