%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW958+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 : n009.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 64.88s 14.40s
% Output : CNFRefutation 64.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 112 ( 37 unt; 0 def)
% Number of atoms : 239 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 242 ( 115 ~; 105 |; 8 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-2 aty)
% Number of variables : 157 ( 11 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax190,axiom,
! [X0,X1] : 'constr$uadec'('constr$uaenc'(X1,'constr$upkey'(X0)),X0) = X1 ).
fof(ax191,axiom,
! [X0] : 'constr$uadd'(X0,'constr$uneg'(X0)) = 'constr$uZERO' ).
fof(ax192,axiom,
! [X0] : 'constr$uadd'(X0,'constr$uZERO') = X0 ).
fof(ax193,axiom,
! [X0,X1] : 'constr$uadd'(X0,X1) = 'constr$uadd'(X1,X0) ).
fof(ax194,axiom,
! [X0,X1,X2] : 'constr$uadd'(X0,'constr$uadd'(X1,X2)) = 'constr$uadd'('constr$uadd'(X0,X1),X2) ).
fof(ax196,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('constr$upkey'(X0)) ) ).
fof(ax204,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uout$u1'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax205,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('constr$uneg'(X0)) ) ).
fof(ax207,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('tuple$uclient$uD$uout$u4'(X0,X1)) ) ).
fof(ax238,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uclient$uA$uout$u5'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax241,axiom,
! [X0,X1] :
( 'pred$uattacker'('tuple$uclient$uA$uout$u3'(X0,X1))
=> 'pred$uattacker'(X1) ) ).
fof(ax242,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X0,X1)) ) ).
fof(ax245,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X0)) ) ).
fof(ax247,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uclient$uA$uin$u1'(X0)) ) ).
fof(ax249,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('constr$uaenc'(X0,X1)) ) ).
fof(ax250,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('constr$uadec'(X0,X1)) ) ).
fof(ax251,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('constr$uadd'(X0,X1)) ) ).
fof(ax252,axiom,
'pred$uattacker'('constr$uZERO') ).
fof(ax267,axiom,
'pred$uattacker'('tuple$uout$u1'('constr$upkey'('name$uskA'))) ).
fof(ax269,axiom,
'pred$uattacker'('tuple$uout$u3'('constr$upkey'('name$uskC'))) ).
fof(ax271,axiom,
! [X0,X1] :
( ( 'pred$uattacker'('tuple$uclient$uA$uin$u1'(X1))
& 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X0)) )
=> 'pred$uattacker'('tuple$uclient$uA$uout$u3'('name$uA','constr$uaenc'('constr$uadd'('name$uNa','name$uSa'),X1))) ) ).
fof(ax272,axiom,
! [X0,X1,X2] :
( ( 'pred$uattacker'('tuple$uclient$uA$uin$u1'(X2))
& 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X1))
& 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X1,X0)) )
=> 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uadec'(X0,'name$uskA'),'constr$uneg'('name$uNa')))) ) ).
fof(co0,conjecture,
'pred$uattacker'('name$uSa') ).
fof(negated_conjecture,negated_conjecture,
~ 'pred$uattacker'('name$uSa'),
inference(negate_conjecture,[status(cth)],[co0]) ).
cnf(c190,plain,
'constr$uadec'('constr$uaenc'(X0,'constr$upkey'(X1)),X1) = X0,
inference(clausification,[status(esa)],[ax190]) ).
cnf(c191,plain,
'constr$uadd'(X0,'constr$uneg'(X0)) = 'constr$uZERO',
inference(clausification,[status(esa)],[ax191]) ).
cnf(c192,plain,
'constr$uadd'(X0,'constr$uZERO') = X0,
inference(clausification,[status(esa)],[ax192]) ).
cnf(c193,plain,
'constr$uadd'(X0,X1) = 'constr$uadd'(X1,X0),
inference(clausification,[status(esa)],[ax193]) ).
cnf(c194,plain,
'constr$uadd'('constr$uadd'(X0,X1),X2) = 'constr$uadd'(X0,'constr$uadd'(X1,X2)),
inference(clausification,[status(esa)],[ax194]) ).
cnf(c196,plain,
( 'pred$uattacker'('constr$upkey'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax196]) ).
cnf(c204,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uout$u1'(X0)) ),
inference(clausification,[status(esa)],[ax204]) ).
cnf(c205,plain,
( 'pred$uattacker'('constr$uneg'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax205]) ).
cnf(c207,plain,
( 'pred$uattacker'('tuple$uclient$uD$uout$u4'(X1,X0))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax207]) ).
cnf(c238,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uclient$uA$uout$u5'(X0)) ),
inference(clausification,[status(esa)],[ax238]) ).
cnf(c241,plain,
( 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('tuple$uclient$uA$uout$u3'(X0,X1)) ),
inference(clausification,[status(esa)],[ax241]) ).
cnf(c242,plain,
( 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X1,X0))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax242]) ).
cnf(c245,plain,
( 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax245]) ).
cnf(c247,plain,
( 'pred$uattacker'('tuple$uclient$uA$uin$u1'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax247]) ).
cnf(c249,plain,
( 'pred$uattacker'('constr$uaenc'(X1,X0))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax249]) ).
cnf(c250,plain,
( 'pred$uattacker'('constr$uadec'(X1,X0))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax250]) ).
cnf(c251,plain,
( 'pred$uattacker'('constr$uadd'(X1,X0))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax251]) ).
cnf(c252,plain,
'pred$uattacker'('constr$uZERO'),
inference(clausification,[status(esa)],[ax252]) ).
cnf(c267,plain,
'pred$uattacker'('tuple$uout$u1'('constr$upkey'('name$uskA'))),
inference(clausification,[status(esa)],[ax267]) ).
cnf(c269,plain,
'pred$uattacker'('tuple$uout$u3'('constr$upkey'('name$uskC'))),
inference(clausification,[status(esa)],[ax269]) ).
cnf(c271,plain,
( 'pred$uattacker'('tuple$uclient$uA$uout$u3'('name$uA','constr$uaenc'('constr$uadd'('name$uNa','name$uSa'),X0)))
| ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X1))
| ~ 'pred$uattacker'('tuple$uclient$uA$uin$u1'(X0)) ),
inference(clausification,[status(esa)],[ax271]) ).
cnf(c272,plain,
( 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uadec'(X2,'name$uskA'),'constr$uneg'('name$uNa'))))
| ~ 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X0,X2))
| ~ 'pred$uattacker'('tuple$uclient$uA$uin$u1'(X1))
| ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X0)) ),
inference(clausification,[status(esa)],[ax272]) ).
cnf(c276,plain,
~ 'pred$uattacker'('name$uSa'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'constr$uadd'('constr$uZERO',X0) = X0,
inference(superposition,[status(thm)],[c193,c192]) ).
cnf(d1,plain,
'constr$uadd'('constr$uZERO',X1) = 'constr$uadd'(X0,'constr$uadd'('constr$uneg'(X0),X1)),
inference(superposition,[status(thm)],[c191,c194]) ).
cnf(d2,plain,
X0 = 'constr$uadd'(X1,'constr$uadd'('constr$uneg'(X1),X0)),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
'constr$uneg'('constr$uneg'(X0)) = 'constr$uadd'(X0,'constr$uZERO'),
inference(superposition,[status(thm)],[c191,d2]) ).
cnf(d4,plain,
'constr$uneg'('constr$uneg'(X0)) = X0,
inference(demodulation,[status(thm)],[d3,c192]) ).
cnf(d5,plain,
( ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('constr$uadd'('constr$uneg'(X0),X1))
| 'pred$uattacker'(X1) ),
inference(superposition,[status(thm)],[d2,c251]) ).
cnf(d6,plain,
'constr$uadd'(X0,'constr$uadd'(X1,'constr$uZERO')) = 'constr$uadd'(X0,X1),
inference(superposition,[status(thm)],[c194,c192]) ).
cnf(d7,plain,
'constr$uadd'(X1,X0) = 'constr$uadd'(X1,X0),
inference(demodulation,[status(thm)],[d6,c192]) ).
cnf(d8,plain,
'constr$uZERO' = 'constr$uadd'(X0,'constr$uneg'(X0)),
inference(superposition,[status(thm)],[c191,d7]) ).
cnf(d9,plain,
( ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('constr$uneg'('constr$uneg'(X0)))
| ~ 'pred$uattacker'('constr$uZERO') ),
inference(superposition,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('constr$uZERO')
| ~ 'pred$uattacker'(X0) ),
inference(demodulation,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[c252,d10]) ).
cnf(d12,plain,
( ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'(X1)
| 'pred$uattacker'('constr$uaenc'(X0,X1)) ),
inference(resolution,[status(thm)],[d11,c249]) ).
cnf(d13,plain,
( ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'(X1)
| 'pred$uattacker'('constr$uaenc'(X0,X1)) ),
inference(resolution,[status(thm)],[d11,d12]) ).
cnf(d14,plain,
( ~ 'pred$uattacker'('tuple$uclient$uA$uout$u5'(X0))
| 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d11,c238]) ).
cnf(d15,plain,
( ~ 'pred$uattacker'('tuple$uclient$uA$uout$u5'(X0))
| 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d11,d14]) ).
cnf(d16,plain,
( ~ 'pred$uattacker'('tuple$uclient$uA$uin$u1'(X2))
| ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X1))
| ~ 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X1,X0))
| 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X0,'name$uskA')))) ),
inference(demodulation,[status(thm)],[c272,c193]) ).
cnf(d17,plain,
( ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X2))
| ~ 'pred$uattacker'('tuple$uclient$uA$uin$u4'(X2,X1))
| 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X1,'name$uskA'))))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[c247,d16]) ).
cnf(d18,plain,
( ~ 'pred$uattacker'(X2)
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X2))
| 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X1,'name$uskA'))))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d17,c242]) ).
cnf(d19,plain,
( ~ 'pred$uattacker'('tuple$uclient$uA$uin$u2'(X0))
| 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X1,'name$uskA'))))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(factoring,[status(thm)],[d18]) ).
cnf(d20,plain,
( 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X1,'name$uskA'))))
| ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[c245,d19]) ).
cnf(d21,plain,
( ~ 'pred$uattacker'(X2)
| ~ 'pred$uattacker'(X1)
| 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X0,'name$uskA'))))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d20,c207]) ).
cnf(d22,plain,
( 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X1,'name$uskA'))))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(factoring,[status(thm)],[d21]) ).
cnf(d23,plain,
( 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X0,'name$uskA'))))
| ~ 'pred$uattacker'(X0) ),
inference(factoring,[status(thm)],[d22]) ).
cnf(d24,plain,
( ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('tuple$uclient$uA$uout$u5'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X0,'name$uskA')))) ),
inference(resolution,[status(thm)],[d11,d23]) ).
cnf(d25,plain,
( 'pred$uattacker'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X0,'name$uskA')))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d24,d15]) ).
cnf(d26,plain,
( ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('constr$uadd'('constr$uneg'('name$uNa'),'constr$uadec'(X0,'name$uskA'))) ),
inference(resolution,[status(thm)],[d11,d25]) ).
cnf(d27,plain,
( ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('constr$uneg'(X0)) ),
inference(resolution,[status(thm)],[d11,c205]) ).
cnf(d28,plain,
( ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('constr$uneg'(X0)) ),
inference(resolution,[status(thm)],[d11,d27]) ).
cnf(d29,plain,
( ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'(X1)
| 'pred$uattacker'('constr$uadd'(X0,X1)) ),
inference(resolution,[status(thm)],[d11,c251]) ).
cnf(d30,plain,
( ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'(X1)
| 'pred$uattacker'('constr$uadd'(X0,X1)) ),
inference(resolution,[status(thm)],[d11,d29]) ).
cnf(d31,plain,
'constr$uadd'(X0,'constr$uadd'(X1,'constr$uneg'('constr$uadd'(X0,X1)))) = 'constr$uZERO',
inference(superposition,[status(thm)],[c194,c191]) ).
cnf(d32,plain,
'constr$uadd'(X1,'constr$uneg'('constr$uadd'('constr$uneg'(X0),X1))) = 'constr$uadd'(X0,'constr$uZERO'),
inference(superposition,[status(thm)],[d31,d2]) ).
cnf(d33,plain,
'constr$uadd'(X1,'constr$uneg'('constr$uadd'('constr$uneg'(X0),X1))) = X0,
inference(demodulation,[status(thm)],[d32,c192]) ).
cnf(d34,plain,
( ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('constr$uneg'('constr$uadd'('constr$uneg'(X1),X0)))
| 'pred$uattacker'(X1) ),
inference(superposition,[status(thm)],[d33,d30]) ).
cnf(d35,plain,
( ~ 'pred$uattacker'('constr$uneg'('constr$uadd'('constr$uneg'(X0),X1)))
| ~ 'pred$uattacker'(X1)
| 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d11,d34]) ).
cnf(d36,plain,
( ~ 'pred$uattacker'('constr$uadd'('constr$uneg'(X1),X0))
| 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d35,d28]) ).
cnf(d37,plain,
( ~ 'pred$uattacker'('constr$uadd'('constr$uneg'(X0),X1))
| ~ 'pred$uattacker'(X1)
| 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d11,d36]) ).
cnf(d38,plain,
( ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('name$uNa')
| ~ 'pred$uattacker'('constr$uadec'(X0,'name$uskA')) ),
inference(resolution,[status(thm)],[d37,d26]) ).
cnf(d39,plain,
( ~ 'pred$uattacker'('constr$uadd'(X0,X1))
| ~ 'pred$uattacker'(X2)
| 'pred$uattacker'('constr$uadd'(X0,'constr$uadd'(X1,X2))) ),
inference(superposition,[status(thm)],[c194,c251]) ).
cnf(d40,plain,
X1 = 'constr$uadd'(X0,'constr$uadd'(X1,'constr$uneg'(X0))),
inference(superposition,[status(thm)],[c193,d2]) ).
cnf(d41,plain,
( ~ 'pred$uattacker'('constr$uadd'(X0,X1))
| ~ 'pred$uattacker'('constr$uneg'(X0))
| 'pred$uattacker'(X1) ),
inference(superposition,[status(thm)],[d40,d39]) ).
cnf(d42,plain,
( ~ 'pred$uattacker'('constr$uneg'(X1))
| ~ 'pred$uattacker'('constr$uadd'(X1,X0))
| 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d11,d41]) ).
cnf(d43,plain,
( ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('constr$uaenc'(X0,'constr$upkey'(X1)))
| 'pred$uattacker'(X0) ),
inference(superposition,[status(thm)],[c190,c250]) ).
cnf(d44,plain,
( ~ 'pred$uattacker'('tuple$uclient$uA$uin$u1'(X1))
| 'pred$uattacker'('tuple$uclient$uA$uout$u3'('name$uA','constr$uaenc'('constr$uadd'('name$uNa','name$uSa'),X1)))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[c245,c271]) ).
cnf(d45,plain,
( ~ 'pred$uattacker'(X1)
| 'pred$uattacker'('tuple$uclient$uA$uout$u3'('name$uA','constr$uaenc'('constr$uadd'('name$uNa','name$uSa'),X1)))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d44,c247]) ).
cnf(d46,plain,
( 'pred$uattacker'('tuple$uclient$uA$uout$u3'('name$uA','constr$uaenc'('constr$uadd'('name$uNa','name$uSa'),X0)))
| ~ 'pred$uattacker'(X0) ),
inference(factoring,[status(thm)],[d45]) ).
cnf(d47,plain,
( 'pred$uattacker'('constr$uaenc'('constr$uadd'('name$uNa','name$uSa'),X0))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d46,c241]) ).
cnf(d48,plain,
( 'pred$uattacker'('constr$uadd'('name$uNa','name$uSa'))
| ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('constr$upkey'(X0)) ),
inference(resolution,[status(thm)],[d47,d43]) ).
cnf(d49,plain,
( ~ 'pred$uattacker'('constr$upkey'(X0))
| ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('constr$uadd'('name$uNa','name$uSa')) ),
inference(resolution,[status(thm)],[d11,d48]) ).
cnf(d50,plain,
( ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('constr$upkey'(X0)) ),
inference(resolution,[status(thm)],[d11,c196]) ).
cnf(d51,plain,
( ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('constr$upkey'(X0)) ),
inference(resolution,[status(thm)],[d11,d50]) ).
cnf(d52,plain,
( 'pred$uattacker'('constr$uadd'('name$uNa','name$uSa'))
| ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d51,d49]) ).
cnf(d53,plain,
'pred$uattacker'('constr$uadd'('name$uNa','name$uSa')),
inference(resolution,[status(thm)],[d52,c269]) ).
cnf(d54,plain,
( ~ 'pred$uattacker'('constr$uneg'('name$uNa'))
| 'pred$uattacker'('name$uSa') ),
inference(resolution,[status(thm)],[d53,d42]) ).
cnf(d55,plain,
~ 'pred$uattacker'('constr$uneg'('name$uNa')),
inference(resolution,[status(thm)],[c276,d54]) ).
cnf(d56,plain,
~ 'pred$uattacker'('name$uNa'),
inference(resolution,[status(thm)],[d55,d28]) ).
cnf(d57,plain,
( ~ 'pred$uattacker'('constr$uadec'(X0,'name$uskA'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d56,d38]) ).
cnf(d58,plain,
( ~ 'pred$uattacker'('constr$uadec'(X0,'name$uskA'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d11,d57]) ).
cnf(d59,plain,
( ~ 'pred$uattacker'('constr$uaenc'(X0,'constr$upkey'('name$uskA')))
| ~ 'pred$uattacker'(X0) ),
inference(superposition,[status(thm)],[c190,d58]) ).
cnf(d60,plain,
( ~ 'pred$uattacker'('constr$uaenc'(X0,'constr$upkey'('name$uskA')))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d11,d59]) ).
cnf(d61,plain,
( ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('constr$upkey'('name$uskA'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d60,d13]) ).
cnf(d62,plain,
~ 'pred$uattacker'('constr$upkey'('name$uskA')),
inference(factoring,[status(thm)],[d61]) ).
cnf(d63,plain,
'pred$uattacker'('constr$upkey'('name$uskA')),
inference(resolution,[status(thm)],[c204,c267]) ).
cnf(d64,plain,
$false,
inference(resolution,[status(thm)],[d63,d62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW958+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 16:38:14 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.88/14.40 % SZS status Theorem for theBenchmark.p
% 64.88/14.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------