%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV342-2 : 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 09:02:06 AM UTC 2026
% Result : Unsatisfiable 16.93s 7.68s
% Output : CNFRefutation 16.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 13 unt; 0 nHn; 24 RR)
% Number of literals : 39 ( 2 equ; 15 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-3 aty)
% Number of variables : 39 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_9,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'('v$una','v$unb')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOKey'('v$uK'))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'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_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
( 'c$uin'(X0,'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$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__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$uOmsg') ) ).
cnf(cls_Message_Oparts_OBody__dest_0,axiom,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(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(c0,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c1,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('c$uMessage$uOagent$uOServer','v$uA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'('v$una','v$unb')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOKey'('v$uK'))))),'c$uList$uOset'('v$uevs3','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_9]) ).
cnf(c2,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(c3,plain,
( 'c$uin'(X0,'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1)),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]) ).
cnf(c4,plain,
( 'c$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(c5,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$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_0]) ).
cnf(c6,plain,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts_OBody__dest_0]) ).
cnf(c7,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(c8,plain,
'c$uMessage$uOparts'('c$uMessage$uOanalz'(X0)) = 'c$uMessage$uOparts'(X0),
inference(clausification,[status(esa)],[cls_Message_Oparts__analz_0]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X2,X0),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c6,c7]) ).
cnf(d1,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOmsg$uOMPair'('v$una','v$unb')))),'c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOKey'('v$uK')))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d2,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uB'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOKey'('v$uK'))),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOKey'('v$uK')),'c$uMessage$uOparts'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3'))),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOKey'('v$uK')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d3,c8]) ).
cnf(d5,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d5,c3]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c0,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV342-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.44 % Computer : n007.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Sat Sep 26 13:32:59 UTC 2026
% 0.16/5.45 % CPUTime :
% 0.16/5.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.93/7.68 % SZS status Unsatisfiable for theBenchmark.p
% 16.93/7.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------