%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW965+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 : n014.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 09:12:36 AM UTC 2026
% Result : Theorem 35.07s 5.22s
% Output : CNFRefutation 35.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 87 ( 39 ~; 37 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 21 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax103,axiom,
! [X0,X1] : 'pred$ueq$ubitstring$ubitstring'(X0,X1) ).
fof(ax114,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uout$u2'(X0)) ) ).
fof(ax131,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uclient$uB$uout$u6'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax137,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uclient$uB$uin$u5'(X0)) ) ).
fof(ax139,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uclient$uB$uin$u3'(X0)) ) ).
fof(ax141,axiom,
! [X0] :
( 'pred$uattacker'(X0)
=> 'pred$uattacker'('tuple$uclient$uB$uin$u2'(X0)) ) ).
fof(ax177,axiom,
'pred$uattacker'('tuple$uout$u2'('constr$upkey'('name$uskB'))) ).
fof(ax184,axiom,
! [X0,X1,X2,X3] :
( ( 'pred$uattacker'('tuple$uclient$uB$uin$u2'(X3))
& 'pred$ueq$ubitstring$ubitstring'('name$uA','constr$utuple$u2$uget$u0x30'('constr$uchecksign'(X3,'constr$upkey'('name$uskS'))))
& 'pred$uattacker'('tuple$uclient$uB$uin$u3'(X1))
& 'pred$ueq$ubitstring$ubitstring'('name$uA','constr$utuple$u2$uget$u1'('constr$uadec'(X1,'name$uskB')))
& 'pred$uattacker'('tuple$uclient$uB$uin$u5'(X2))
& 'pred$ueq$ubitstring$ubitstring'('name$uNb'(X0),'constr$uadec'(X2,'name$uskB')) )
=> 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective')) ) ).
fof(co0,conjecture,
'pred$uattacker'('name$uobjective') ).
fof(negated_conjecture,negated_conjecture,
~ 'pred$uattacker'('name$uobjective'),
inference(negate_conjecture,[status(cth)],[co0]) ).
cnf(c103,plain,
'pred$ueq$ubitstring$ubitstring'(X0,X1),
inference(clausification,[status(esa)],[ax103]) ).
cnf(c114,plain,
( 'pred$uattacker'('tuple$uout$u2'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax114]) ).
cnf(c131,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uclient$uB$uout$u6'(X0)) ),
inference(clausification,[status(esa)],[ax131]) ).
cnf(c137,plain,
( 'pred$uattacker'('tuple$uclient$uB$uin$u5'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax137]) ).
cnf(c139,plain,
( 'pred$uattacker'('tuple$uclient$uB$uin$u3'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax139]) ).
cnf(c141,plain,
( 'pred$uattacker'('tuple$uclient$uB$uin$u2'(X0))
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax141]) ).
cnf(c177,plain,
'pred$uattacker'('tuple$uout$u2'('constr$upkey'('name$uskB'))),
inference(clausification,[status(esa)],[ax177]) ).
cnf(c184,plain,
( ~ 'pred$uattacker'('tuple$uclient$uB$uin$u2'(X3))
| ~ 'pred$ueq$ubitstring$ubitstring'('name$uA','constr$utuple$u2$uget$u1'('constr$uadec'(X0,'name$uskB')))
| ~ 'pred$ueq$ubitstring$ubitstring'('name$uA','constr$utuple$u2$uget$u0x30'('constr$uchecksign'(X3,'constr$upkey'('name$uskS'))))
| ~ 'pred$ueq$ubitstring$ubitstring'('name$uNb'(X2),'constr$uadec'(X1,'name$uskB'))
| ~ 'pred$uattacker'('tuple$uclient$uB$uin$u5'(X1))
| 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective'))
| ~ 'pred$uattacker'('tuple$uclient$uB$uin$u3'(X0)) ),
inference(clausification,[status(esa)],[ax184]) ).
cnf(c187,plain,
~ 'pred$uattacker'('name$uobjective'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'pred$uattacker'('tuple$uclient$uB$uin$u2'(X0))
| ~ 'pred$uattacker'('tuple$uclient$uB$uin$u3'(X3))
| ~ 'pred$uattacker'('tuple$uclient$uB$uin$u5'(X2))
| 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective'))
| ~ 'pred$ueq$ubitstring$ubitstring'('name$uNb'(X1),'constr$uadec'(X2,'name$uskB'))
| ~ 'pred$ueq$ubitstring$ubitstring'('name$uA','constr$utuple$u2$uget$u0x30'('constr$uchecksign'(X0,'constr$upkey'('name$uskS')))) ),
inference(resolution,[status(thm)],[c103,c184]) ).
cnf(d1,plain,
( ~ 'pred$uattacker'('tuple$uclient$uB$uin$u2'(X1))
| ~ 'pred$uattacker'('tuple$uclient$uB$uin$u5'(X3))
| 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective'))
| ~ 'pred$ueq$ubitstring$ubitstring'('name$uNb'(X2),'constr$uadec'(X3,'name$uskB'))
| ~ 'pred$ueq$ubitstring$ubitstring'('name$uA','constr$utuple$u2$uget$u0x30'('constr$uchecksign'(X1,'constr$upkey'('name$uskS'))))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[c139,d0]) ).
cnf(d2,plain,
( ~ 'pred$uattacker'('tuple$uclient$uB$uin$u2'(X3))
| ~ 'pred$uattacker'('tuple$uclient$uB$uin$u5'(X1))
| 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective'))
| ~ 'pred$uattacker'(X2)
| ~ 'pred$ueq$ubitstring$ubitstring'('name$uNb'(X0),'constr$uadec'(X1,'name$uskB')) ),
inference(resolution,[status(thm)],[d1,c103]) ).
cnf(d3,plain,
( ~ 'pred$uattacker'('tuple$uclient$uB$uin$u2'(X2))
| 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective'))
| ~ 'pred$uattacker'('tuple$uclient$uB$uin$u5'(X1))
| ~ 'pred$ueq$ubitstring$ubitstring'('name$uNb'(X0),'constr$uadec'(X1,'name$uskB')) ),
inference(factoring,[status(thm)],[d2]) ).
cnf(d4,plain,
( ~ 'pred$uattacker'('tuple$uclient$uB$uin$u2'(X1))
| ~ 'pred$uattacker'('tuple$uclient$uB$uin$u5'(X0))
| 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective')) ),
inference(resolution,[status(thm)],[c103,d3]) ).
cnf(d5,plain,
( ~ 'pred$uattacker'('tuple$uclient$uB$uin$u2'(X1))
| 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[c137,d4]) ).
cnf(d6,plain,
( 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective'))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[c141,d5]) ).
cnf(d7,plain,
( ~ 'pred$uattacker'(X1)
| 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective'))
| ~ 'pred$uattacker'(X0) ),
inference(resolution,[status(thm)],[d6,c114]) ).
cnf(d8,plain,
( 'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective'))
| ~ 'pred$uattacker'(X0) ),
inference(factoring,[status(thm)],[d7]) ).
cnf(d9,plain,
'pred$uattacker'('tuple$uclient$uB$uout$u6'('name$uobjective')),
inference(resolution,[status(thm)],[d8,c177]) ).
cnf(d10,plain,
'pred$uattacker'('name$uobjective'),
inference(resolution,[status(thm)],[d9,c131]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c187,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW965+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 16:38:47 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.07/5.22 % SZS status Theorem for theBenchmark.p
% 35.07/5.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------