%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV353-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 09:02:08 AM UTC 2026
% Result : Unsatisfiable 145.00s 36.24s
% Output : CNFRefutation 145.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 20 unt; 4 nHn; 23 RR)
% Number of literals : 55 ( 17 equ; 25 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 17 con; 0-3 aty)
% Number of variables : 69 ( 38 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
'c$uin'('v$uevso','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uAa','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uONonce'('v$uNB'))))),'v$uX')),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_5,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uB','c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_6,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_8,negated_conjecture,
( 'v$uNA' != 'v$uNAa'
| X0 != 'c$uMessage$uOmsg$uOKey'('v$uK') ) ).
cnf(cls_Nat_OlessI_0,axiom,
'c$uless'(X0,'c$uSuc'(X0),'tc$unat') ).
cnf(cls_Nat_Ozero__less__Suc_0,axiom,
'c$uless'('c$u0','c$uSuc'(X0),'tc$unat') ).
cnf(cls_Divides_Odiv__mult__self1__is__m_0,axiom,
( 'c$udiv'('c$utimes'(X0,X1,'tc$unat'),X0,'tc$unat') = X1
| ~ 'c$uless'('c$u0',X0,'tc$unat') ) ).
cnf(cls_Yahalom_OSays__Server__imp__YM2_0,axiom,
( 'c$uin'('c$uEvent$uOevent$uOGets'('c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X2),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X1),'c$uMessage$uOmsg$uOMPair'(X4,X5))))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X1,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'(X4,X5)))),X6)),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ) ).
cnf(cls_Yahalom_OSays__unique__NB_0,axiom,
( X5 = X12
| 'c$uin'(X6,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X7,X8,'c$uMessage$uOmsg$uOMPair'(X9,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X10),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X11),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X12),X6))))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X4),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X5),X6))))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ) ).
cnf(c2,plain,
'c$uin'('v$uevso','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uAa','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uONonce'('v$uNB'))))),'v$uX')),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c5,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uB','c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c6,plain,
~ 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c7,plain,
( 'v$uNA' != 'v$uNAa'
| X0 != 'c$uMessage$uOmsg$uOKey'('v$uK') ),
inference(clausification,[status(esa)],[cls_conjecture_8]) ).
cnf(c72,plain,
'c$uless'(X0,'c$uSuc'(X0),'tc$unat'),
inference(clausification,[status(esa)],[cls_Nat_OlessI_0]) ).
cnf(c74,plain,
'c$uless'('c$u0','c$uSuc'(X0),'tc$unat'),
inference(clausification,[status(esa)],[cls_Nat_Ozero__less__Suc_0]) ).
cnf(c1228,plain,
( 'c$udiv'('c$utimes'(X0,X1,'tc$unat'),X0,'tc$unat') = X1
| ~ 'c$uless'('c$u0',X0,'tc$unat') ),
inference(clausification,[status(esa)],[cls_Divides_Odiv__mult__self1__is__m_0]) ).
cnf(c2962,plain,
( 'c$uin'('c$uEvent$uOevent$uOGets'('c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X2),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X1),'c$uMessage$uOmsg$uOMPair'(X4,X5))))),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer',X1,'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X1),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X2),'c$uMessage$uOmsg$uOMPair'(X3,'c$uMessage$uOmsg$uOMPair'(X4,X5)))),X6)),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(clausification,[status(esa)],[cls_Yahalom_OSays__Server__imp__YM2_0]) ).
cnf(c2963,plain,
( 'c$uin'(X6,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X7)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X9,'c$uMessage$uOmsg$uOMPair'(X10,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X11),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X12),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X8),X6))))),'c$uList$uOset'(X7,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X7,'c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent'))
| X8 = X5
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X0,X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X4),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X5),X6))))),'c$uList$uOset'(X7,'tc$uEvent$uOevent'),'tc$uEvent$uOevent') ),
inference(clausification,[status(esa)],[cls_Yahalom_OSays__unique__NB_0]) ).
cnf(d0,plain,
( 'c$uin'('c$uEvent$uOevent$uOGets'('c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('v$uevso','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(resolution,[status(thm)],[c2962,c3]) ).
cnf(d1,plain,
'c$uin'('c$uEvent$uOevent$uOGets'('c$uMessage$uOagent$uOServer','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uBa'),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
( ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X4),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X0),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uevso','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent'))
| X0 = 'v$uNA' ),
inference(resolution,[status(thm)],[c2963,c5]) ).
cnf(d3,plain,
( ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X4),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X0),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevso')),'tc$uMessage$uOmsg')
| X0 = 'v$uNA' ),
inference(resolution,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
( ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,'c$uMessage$uOmsg$uOMPair'(X2,'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'(X3),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'(X4),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'(X0),'c$uMessage$uOmsg$uONonce'('v$uNB')))))),'c$uList$uOset'('v$uevso','tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| X0 = 'v$uNA' ),
inference(resolution,[status(thm)],[c6,d3]) ).
cnf(d5,plain,
'v$uNAa' = 'v$uNA',
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
'v$uNA' != 'v$uNAa',
inference(equality_resolution,[status(thm)],[c7]) ).
cnf(d7,plain,
'v$uNA' != 'v$uNA',
inference(demodulation,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
'c$udiv'('c$utimes'('c$uSuc'(X0),X1,'tc$unat'),'c$uSuc'(X0),'tc$unat') = X1,
inference(resolution,[status(thm)],[c1228,c74]) ).
cnf(d9,plain,
'c$udiv'('c$utimes'('c$uSuc'('c$u0'),X0,'tc$unat'),'c$uSuc'('c$u0'),'tc$unat') = X0,
inference(resolution,[status(thm)],[c1228,c72]) ).
cnf(d10,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV353-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 13:34:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 145.00/36.24 % SZS status Unsatisfiable for theBenchmark.p
% 145.00/36.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------