%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV318-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 09:02:00 AM UTC 2026
% Result : Unsatisfiable 13.97s 2.43s
% Output : CNFRefutation 13.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 43 ( 15 unt; 2 nHn; 37 RR)
% Number of literals : 74 ( 5 equ; 35 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 13 con; 0-3 aty)
% Number of variables : 54 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
( 'c$uin'(X2,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X3)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X0,X1,X2),'c$uList$uOset'(X3,'tc$uEvent$uOevent'),'tc$uEvent$uOevent') ) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_OMPair__parts_1,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Oparts__analz_0,axiom,
'c$uMessage$uOparts'('c$uMessage$uOanalz'(X0)) = 'c$uMessage$uOparts'(X0) ).
cnf(cls_Message_Oparts__cut__eq_0,axiom,
( 'c$uMessage$uOparts'('c$uinsert'(X0,X1,'tc$uMessage$uOmsg')) = 'c$uMessage$uOparts'(X1)
| ~ 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
( 'c$uin'('c$uEvent$uOevent$uOSays'('v$usko$u$uusf'(X1,X2,X0),X1,X2),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,X2),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ) ).
cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'(X0)),'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uEvent$uObad','tc$uMessage$uOagent') ) ).
cnf(cls_Set_Oinsert__iff_2,axiom,
( 'c$uin'(X0,'c$uinsert'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uevs4','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOGets'('v$uB','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ) ).
cnf(cls_conjecture_7,negated_conjecture,
( 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ) ).
cnf(c0,plain,
( 'c$uin'(X2,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X3)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X0,X1,X2),'c$uList$uOset'(X3,'tc$uEvent$uOevent'),'tc$uEvent$uOevent') ),
inference(clausification,[status(esa)],[cls_Event_OSays__imp__analz__Spy__dest_0]) ).
cnf(c1,plain,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_0]) ).
cnf(c2,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_1]) ).
cnf(c3,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts_OInj_0]) ).
cnf(c4,plain,
'c$uMessage$uOparts'('c$uMessage$uOanalz'(X0)) = 'c$uMessage$uOparts'(X0),
inference(clausification,[status(esa)],[cls_Message_Oparts__analz_0]) ).
cnf(c5,plain,
( 'c$uMessage$uOparts'('c$uinsert'(X0,X1,'tc$uMessage$uOmsg')) = 'c$uMessage$uOparts'(X1)
| ~ 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts__cut__eq_0]) ).
cnf(c6,plain,
( 'c$uin'('c$uEvent$uOevent$uOSays'('v$usko$u$uusf'(X1,X2,X0),X1,X2),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,X2),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(clausification,[status(esa)],[cls_OtwayRees_OGets__imp__Says__dest_0]) ).
cnf(c7,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'(X0)),'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uEvent$uObad','tc$uMessage$uOagent') ),
inference(clausification,[status(esa)],[cls_Public_OSpy__spies__bad__shrK_0]) ).
cnf(c8,plain,
( 'c$uin'(X0,'c$uinsert'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_Oinsert__iff_2]) ).
cnf(c9,plain,
'c$uin'('v$uevs4','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c10,plain,
'c$uin'('c$uEvent$uOevent$uOGets'('v$uB','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK')))))),'c$uList$uOset'('v$uevs4','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c11,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c12,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c13,plain,
( 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(d0,plain,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),X2,'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
( 'c$uin'(X2,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X1,X2),'c$uList$uOset'(X0,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(d2,plain,
( ~ 'c$uin'('v$uevs4','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| 'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK'))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d1,c10]) ).
cnf(d3,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNA'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK'))))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c9,d2]) ).
cnf(d4,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK')))),'c$uMessage$uOparts'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uOKey'('v$uK')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
'c$uin'('v$uX','c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'tc$uMessage$uOmsg')) = 'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),
inference(resolution,[status(thm)],[d6,c5]) ).
cnf(d8,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ),
inference(resolution,[status(thm)],[c12,c3]) ).
cnf(d9,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ),
inference(resolution,[status(thm)],[d8,c8]) ).
cnf(d10,plain,
( ~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ),
inference(resolution,[status(thm)],[d9,c7]) ).
cnf(d11,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d10,c13]) ).
cnf(d12,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d11,d7]) ).
cnf(d13,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d10,c11]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV318-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 13:34:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.97/2.43 % SZS status Unsatisfiable for theBenchmark.p
% 13.97/2.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------