%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV327-2 : 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 : n019.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 09:02:02 AM UTC 2026
% Result : Unsatisfiable 11.92s 3.60s
% Output : CNFRefutation 11.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of clauses : 57 ( 18 unt; 13 nHn; 57 RR)
% Number of literals : 117 ( 4 equ; 48 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 16 con; 0-3 aty)
% Number of variables : 64 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('v$uevs4','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ).
cnf(cls_conjecture_4,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOGets'('v$uBa','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'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_5,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_6,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_7,negated_conjecture,
'v$uB' != 'v$uC' ).
cnf(cls_conjecture_8,negated_conjecture,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'v$uB' = 'v$uC' ) ).
cnf(cls_Message_OCrypt__synth_0,axiom,
( 'c$uin'('c$uMessage$uOmsg$uOKey'(X0),X2,'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),X2,'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
( 'c$uin'(X0,'c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'(X2)),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X1,'c$uMessage$uOsynth'('c$uMessage$uOanalz'(X2)),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOparts'('c$uinsert'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_OMPair__analz_0,axiom,
( 'c$uin'(X1,'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_OMPair__synth__analz__iff1_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOsynth'('c$uMessage$uOanalz'(X2)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOsynth'('c$uMessage$uOanalz'(X2)),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Osynth_OInj_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$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$uOevent')) ) ).
cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
( 'c$uin'(X1,'c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'(X1)),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ) ).
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_Set_OUnE_0,axiom,
( 'c$uin'(X0,X1,X3)
| 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uunion'(X1,X2,X3),X3) ) ).
cnf(c0,plain,
~ 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uin'('v$uevs4','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
'c$uin'('c$uEvent$uOevent$uOGets'('v$uBa','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'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_4]) ).
cnf(c3,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'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_5]) ).
cnf(c4,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'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_6]) ).
cnf(c5,plain,
'v$uB' != 'v$uC',
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(c6,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'v$uB' = 'v$uC' ),
inference(clausification,[status(esa)],[cls_conjecture_8]) ).
cnf(c7,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'(X0),X2,'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),X2,'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OCrypt__synth_0]) ).
cnf(c8,plain,
( 'c$uin'(X0,'c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'(X2)),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X1,'c$uMessage$uOsynth'('c$uMessage$uOanalz'(X2)),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOparts'('c$uinsert'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OFake__parts__insert__in__Un__dest_0]) ).
cnf(c9,plain,
( 'c$uin'(X1,'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__analz_0]) ).
cnf(c10,plain,
( 'c$uin'(X0,'c$uMessage$uOsynth'('c$uMessage$uOanalz'(X2)),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOsynth'('c$uMessage$uOanalz'(X2)),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__synth__analz__iff1_0]) ).
cnf(c11,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz__into__parts__dest_0]) ).
cnf(c12,plain,
( 'c$uin'(X0,'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Osynth_OInj_0]) ).
cnf(c13,plain,
( 'c$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$uOevent')) ),
inference(clausification,[status(esa)],[cls_OtwayRees_OGets__imp__Says__dest_0]) ).
cnf(c14,plain,
( 'c$uin'(X1,'c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'(X1)),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X0)),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(clausification,[status(esa)],[cls_OtwayRees_OSpy__see__shrK__D__dest_0]) ).
cnf(c15,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(c16,plain,
( 'c$uin'(X0,X1,X3)
| 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uunion'(X1,X2,X3),X3) ),
inference(clausification,[status(esa)],[cls_Set_OUnE_0]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c5,c6]) ).
cnf(d1,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c8,c4]) ).
cnf(d2,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d1,c16]) ).
cnf(d3,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X2),'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOsynth'('c$uMessage$uOanalz'(X1)),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c10,c12]) ).
cnf(d5,plain,
( ~ 'c$uin'('c$uEvent$uOevent$uOGets'(X2,X0),'c$uList$uOset'(X1,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| ~ 'c$uin'(X1,'c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent'))
| 'c$uin'(X0,'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c15,c13]) ).
cnf(d6,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'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$uOmsg')
| ~ 'c$uin'('v$uevs4','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(resolution,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$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)],[c1,d6]) ).
cnf(d8,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uBa'),'c$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)],[d7,c9]) ).
cnf(d9,plain,
'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d10,c11]) ).
cnf(d12,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d11,d0]) ).
cnf(d13,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c8,c3]) ).
cnf(d14,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d13,c16]) ).
cnf(d15,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4'))),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d9,d14]) ).
cnf(d16,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d15,c7]) ).
cnf(d17,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uC')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d16,c11]) ).
cnf(d18,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'('v$uA')),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs4')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d17,d12]) ).
cnf(d19,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$uOmsg'),
inference(resolution,[status(thm)],[d18,c11]) ).
cnf(d20,plain,
( 'c$uin'('v$uA','c$uEvent$uObad','tc$uMessage$uOagent')
| ~ 'c$uin'('v$uevs4','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(resolution,[status(thm)],[d19,c14]) ).
cnf(d21,plain,
~ 'c$uin'('v$uevs4','c$uOtwayRees$uOotway','tc$uList$uOlist'('tc$uEvent$uOevent')),
inference(resolution,[status(thm)],[c0,d20]) ).
cnf(d22,plain,
$false,
inference(resolution,[status(thm)],[c1,d21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV327-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n019.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 13:33:03 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.92/3.60 % SZS status Unsatisfiable for theBenchmark.p
% 11.92/3.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------