%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW952+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 : n005.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 35.86s 4.99s
% Output : CNFRefutation 35.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 71 ( 40 unt; 0 def)
% Number of atoms : 115 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 36 ~; 34 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 65 ( 3 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax91,axiom,
! [X0] : 'constr$uxor'(X0,X0) = 'constr$uZERO' ).
fof(ax92,axiom,
! [X0] : 'constr$uxor'(X0,'constr$uZERO') = X0 ).
fof(ax93,axiom,
! [X0,X1] : 'constr$uxor'(X0,X1) = 'constr$uxor'(X1,X0) ).
fof(ax94,axiom,
! [X0,X1,X2] : 'constr$uxor'(X0,'constr$uxor'(X1,X2)) = 'constr$uxor'('constr$uxor'(X0,X1),X2) ).
fof(ax95,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('constr$uxor'(X0,X1)) ) ).
fof(ax102,axiom,
! [X0,X1] :
( 'pred$uattacker'('tuple$usess$u1$uout$u2'(X0,X1))
=> 'pred$uattacker'(X0) ) ).
fof(ax103,axiom,
! [X0,X1] :
( 'pred$uattacker'('tuple$usess$u1$uout$u2'(X0,X1))
=> 'pred$uattacker'(X1) ) ).
fof(ax105,axiom,
! [X0] :
( 'pred$uattacker'('tuple$usess$u1$uout$u1'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax111,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uR$uout$u4'(X0))
=> 'pred$uattacker'(X0) ) ).
fof(ax116,axiom,
! [X0,X1] :
( 'pred$uattacker'('tuple$uR$uout$u1'(X0,X1))
=> 'pred$uattacker'(X1) ) ).
fof(ax117,axiom,
! [X0,X1] :
( ( 'pred$uattacker'(X1)
& 'pred$uattacker'(X0) )
=> 'pred$uattacker'('tuple$uR$uin$u2'(X0,X1)) ) ).
fof(ax131,axiom,
'pred$uattacker'('tuple$usess$u1$uout$u1'('name$ur1$us1')) ).
fof(ax132,axiom,
'pred$uattacker'('tuple$usess$u1$uout$u2'('name$ur2$us1','constr$usplit$uL'('constr$uxor'('constr$urotate'('name$uID','constr$uh'('constr$uxor'('constr$uxor'('name$ur1$us1','name$ur2$us1'),'name$uk'))),'constr$uh'('constr$uxor'('constr$uxor'('name$ur1$us1','name$ur2$us1'),'name$uk')))))) ).
fof(ax134,axiom,
'pred$uattacker'('tuple$uR$uout$u1'('constr$uQUERY','name$ur1')) ).
fof(ax136,axiom,
! [X0] :
( 'pred$uattacker'('tuple$uR$uin$u2'(X0,'constr$usplit$uL'('constr$uxor'('constr$urotate'('name$uID','constr$uh'('constr$uxor'('constr$uxor'('name$ur1',X0),'name$uk'))),'constr$uh'('constr$uxor'('constr$uxor'('name$ur1',X0),'name$uk'))))))
=> 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective')) ) ).
fof(co0,conjecture,
'pred$uattacker'('name$uobjective') ).
fof(negated_conjecture,negated_conjecture,
~ 'pred$uattacker'('name$uobjective'),
inference(negate_conjecture,[status(cth)],[co0]) ).
cnf(c91,plain,
'constr$uxor'(X0,X0) = 'constr$uZERO',
inference(clausification,[status(esa)],[ax91]) ).
cnf(c92,plain,
'constr$uxor'(X0,'constr$uZERO') = X0,
inference(clausification,[status(esa)],[ax92]) ).
cnf(c93,plain,
'constr$uxor'(X0,X1) = 'constr$uxor'(X1,X0),
inference(clausification,[status(esa)],[ax93]) ).
cnf(c94,plain,
'constr$uxor'(X0,'constr$uxor'(X1,X2)) = 'constr$uxor'('constr$uxor'(X0,X1),X2),
inference(clausification,[status(esa)],[ax94]) ).
cnf(c95,plain,
( 'pred$uattacker'('constr$uxor'(X0,X1))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax95]) ).
cnf(c102,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$usess$u1$uout$u2'(X0,X1)) ),
inference(clausification,[status(esa)],[ax102]) ).
cnf(c103,plain,
( 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('tuple$usess$u1$uout$u2'(X0,X1)) ),
inference(clausification,[status(esa)],[ax103]) ).
cnf(c105,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$usess$u1$uout$u1'(X0)) ),
inference(clausification,[status(esa)],[ax105]) ).
cnf(c111,plain,
( 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('tuple$uR$uout$u4'(X0)) ),
inference(clausification,[status(esa)],[ax111]) ).
cnf(c116,plain,
( 'pred$uattacker'(X1)
| ~ 'pred$uattacker'('tuple$uR$uout$u1'(X0,X1)) ),
inference(clausification,[status(esa)],[ax116]) ).
cnf(c117,plain,
( 'pred$uattacker'('tuple$uR$uin$u2'(X0,X1))
| ~ 'pred$uattacker'(X1)
| ~ 'pred$uattacker'(X0) ),
inference(clausification,[status(esa)],[ax117]) ).
cnf(c131,plain,
'pred$uattacker'('tuple$usess$u1$uout$u1'('name$ur1$us1')),
inference(clausification,[status(esa)],[ax131]) ).
cnf(c132,plain,
'pred$uattacker'('tuple$usess$u1$uout$u2'('name$ur2$us1','constr$usplit$uL'('constr$uxor'('constr$urotate'('name$uID','constr$uh'('constr$uxor'('constr$uxor'('name$ur1$us1','name$ur2$us1'),'name$uk'))),'constr$uh'('constr$uxor'('constr$uxor'('name$ur1$us1','name$ur2$us1'),'name$uk')))))),
inference(clausification,[status(esa)],[ax132]) ).
cnf(c134,plain,
'pred$uattacker'('tuple$uR$uout$u1'('constr$uQUERY','name$ur1')),
inference(clausification,[status(esa)],[ax134]) ).
cnf(c136,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('tuple$uR$uin$u2'(X0,'constr$usplit$uL'('constr$uxor'('constr$urotate'('name$uID','constr$uh'('constr$uxor'('constr$uxor'('name$ur1',X0),'name$uk'))),'constr$uh'('constr$uxor'('constr$uxor'('name$ur1',X0),'name$uk')))))) ),
inference(clausification,[status(esa)],[ax136]) ).
cnf(c137,plain,
~ 'pred$uattacker'('name$uobjective'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'constr$uxor'(X0,'constr$uxor'(X1,X2)) = 'constr$uxor'(X2,'constr$uxor'(X0,X1)),
inference(superposition,[status(thm)],[c94,c93]) ).
cnf(d1,plain,
( ~ 'pred$uattacker'(X0)
| ~ 'pred$uattacker'('constr$uxor'(X1,X2))
| 'pred$uattacker'('constr$uxor'(X2,'constr$uxor'(X0,X1))) ),
inference(superposition,[status(thm)],[d0,c95]) ).
cnf(d2,plain,
'pred$uattacker'('tuple$usess$u1$uout$u2'('name$ur2$us1','constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('constr$uxor'('name$ur1$us1','name$ur2$us1'),'name$uk')),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('constr$uxor'('name$ur1$us1','name$ur2$us1'),'name$uk'))))))),
inference(demodulation,[status(thm)],[c132,c93]) ).
cnf(d3,plain,
'pred$uattacker'('tuple$usess$u1$uout$u2'('name$ur2$us1','constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$ur1$us1','constr$uxor'('name$ur2$us1','name$uk'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('constr$uxor'('name$ur1$us1','name$ur2$us1'),'name$uk'))))))),
inference(demodulation,[status(thm)],[d2,c94]) ).
cnf(d4,plain,
'pred$uattacker'('tuple$usess$u1$uout$u2'('name$ur2$us1','constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$ur1$us1','constr$uxor'('name$uk','name$ur2$us1'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('constr$uxor'('name$ur1$us1','name$ur2$us1'),'name$uk'))))))),
inference(demodulation,[status(thm)],[d3,c93]) ).
cnf(d5,plain,
'pred$uattacker'('tuple$usess$u1$uout$u2'('name$ur2$us1','constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$ur1$us1','constr$uxor'('name$uk','name$ur2$us1'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$ur1$us1','constr$uxor'('name$ur2$us1','name$uk')))))))),
inference(demodulation,[status(thm)],[d4,c94]) ).
cnf(d6,plain,
'pred$uattacker'('tuple$usess$u1$uout$u2'('name$ur2$us1','constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$ur1$us1','constr$uxor'('name$uk','name$ur2$us1'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$ur1$us1','constr$uxor'('name$uk','name$ur2$us1')))))))),
inference(demodulation,[status(thm)],[d5,c93]) ).
cnf(d7,plain,
'pred$uattacker'('constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$ur1$us1','constr$uxor'('name$uk','name$ur2$us1'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$ur1$us1','constr$uxor'('name$uk','name$ur2$us1'))))))),
inference(resolution,[status(thm)],[d6,c103]) ).
cnf(d8,plain,
'pred$uattacker'('constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur2$us1','name$ur1$us1'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$ur1$us1','constr$uxor'('name$uk','name$ur2$us1'))))))),
inference(demodulation,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
'pred$uattacker'('constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur1$us1','name$ur2$us1'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$ur1$us1','constr$uxor'('name$uk','name$ur2$us1'))))))),
inference(demodulation,[status(thm)],[d8,c93]) ).
cnf(d10,plain,
'pred$uattacker'('constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur1$us1','name$ur2$us1'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur2$us1','name$ur1$us1'))))))),
inference(demodulation,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
'pred$uattacker'('constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur1$us1','name$ur2$us1'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur1$us1','name$ur2$us1'))))))),
inference(demodulation,[status(thm)],[d10,c93]) ).
cnf(d12,plain,
'constr$uxor'(X0,'constr$uxor'(X1,'constr$uZERO')) = 'constr$uxor'(X0,X1),
inference(superposition,[status(thm)],[c94,c92]) ).
cnf(d13,plain,
'constr$uxor'(X1,X0) = 'constr$uxor'(X1,X0),
inference(demodulation,[status(thm)],[d12,c92]) ).
cnf(d14,plain,
'constr$uxor'('constr$uZERO',X0) = X0,
inference(superposition,[status(thm)],[c93,c92]) ).
cnf(d15,plain,
'constr$uxor'(X0,'constr$uxor'(X0,X1)) = 'constr$uxor'('constr$uZERO',X1),
inference(superposition,[status(thm)],[c91,c94]) ).
cnf(d16,plain,
'constr$uxor'(X1,'constr$uxor'(X1,X0)) = X0,
inference(demodulation,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
X1 = 'constr$uxor'(X0,'constr$uxor'(X0,X1)),
inference(superposition,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
( ~ 'pred$uattacker'('tuple$uR$uin$u2'(X0,'constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('constr$uxor'('name$ur1',X0),'name$uk')),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('constr$uxor'('name$ur1',X0),'name$uk')))))))
| 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective')) ),
inference(demodulation,[status(thm)],[c136,c93]) ).
cnf(d19,plain,
( ~ 'pred$uattacker'('tuple$uR$uin$u2'(X0,'constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$ur1','constr$uxor'(X0,'name$uk'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('constr$uxor'('name$ur1',X0),'name$uk')))))))
| 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective')) ),
inference(demodulation,[status(thm)],[d18,c94]) ).
cnf(d20,plain,
( ~ 'pred$uattacker'('tuple$uR$uin$u2'(X0,'constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$ur1','constr$uxor'(X0,'name$uk'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$ur1','constr$uxor'(X0,'name$uk'))))))))
| 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective')) ),
inference(demodulation,[status(thm)],[d19,c94]) ).
cnf(d21,plain,
( ~ 'pred$uattacker'('constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$ur1','constr$uxor'(X0,'name$uk'))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$ur1','constr$uxor'(X0,'name$uk')))))))
| ~ 'pred$uattacker'(X0)
| 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective')) ),
inference(resolution,[status(thm)],[d20,c117]) ).
cnf(d22,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur1',X0))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$ur1','constr$uxor'(X0,'name$uk')))))))
| ~ 'pred$uattacker'(X0) ),
inference(demodulation,[status(thm)],[d21,d0]) ).
cnf(d23,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur1',X0))),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur1',X0)))))))
| ~ 'pred$uattacker'(X0) ),
inference(demodulation,[status(thm)],[d22,d0]) ).
cnf(d24,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('constr$uxor'('name$ur1',X0))
| ~ 'pred$uattacker'('constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$uk',X0)),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$uk','constr$uxor'('name$ur1','constr$uxor'('name$ur1',X0)))))))) ),
inference(superposition,[status(thm)],[d16,d23]) ).
cnf(d25,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('constr$usplit$uL'('constr$uxor'('constr$uh'('constr$uxor'('name$uk',X0)),'constr$urotate'('name$uID','constr$uh'('constr$uxor'('name$uk',X0))))))
| ~ 'pred$uattacker'('constr$uxor'('name$ur1',X0)) ),
inference(demodulation,[status(thm)],[d24,d17]) ).
cnf(d26,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('constr$uxor'('name$ur1','constr$uxor'('name$ur1$us1','name$ur2$us1'))) ),
inference(resolution,[status(thm)],[d25,d11]) ).
cnf(d27,plain,
( ~ 'pred$uattacker'('constr$uxor'('name$ur2$us1','name$ur1'))
| ~ 'pred$uattacker'('name$ur1$us1')
| 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective')) ),
inference(resolution,[status(thm)],[d26,d1]) ).
cnf(d28,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('constr$uxor'('name$ur1','name$ur2$us1'))
| ~ 'pred$uattacker'('name$ur1$us1') ),
inference(demodulation,[status(thm)],[d27,c93]) ).
cnf(d29,plain,
'pred$uattacker'('name$ur1$us1'),
inference(resolution,[status(thm)],[c105,c131]) ).
cnf(d30,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('constr$uxor'('name$ur1','name$ur2$us1')) ),
inference(resolution,[status(thm)],[d29,d28]) ).
cnf(d31,plain,
( ~ 'pred$uattacker'('name$ur1')
| ~ 'pred$uattacker'('name$ur2$us1')
| 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective')) ),
inference(resolution,[status(thm)],[d30,c95]) ).
cnf(d32,plain,
'pred$uattacker'('name$ur1'),
inference(resolution,[status(thm)],[c116,c134]) ).
cnf(d33,plain,
( 'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective'))
| ~ 'pred$uattacker'('name$ur2$us1') ),
inference(resolution,[status(thm)],[d32,d31]) ).
cnf(d34,plain,
'pred$uattacker'('name$ur2$us1'),
inference(resolution,[status(thm)],[d6,c102]) ).
cnf(d35,plain,
'pred$uattacker'('tuple$uR$uout$u4'('name$uobjective')),
inference(resolution,[status(thm)],[d34,d33]) ).
cnf(d36,plain,
'pred$uattacker'('name$uobjective'),
inference(resolution,[status(thm)],[d35,c111]) ).
cnf(d37,plain,
$false,
inference(resolution,[status(thm)],[c137,d36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW952+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
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 16:37:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.86/4.99 % SZS status Theorem for theBenchmark.p
% 35.86/4.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------