%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV328-2 : 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 : n017.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 09:02:03 AM UTC 2026
% Result : Unsatisfiable 10.40s 6.76s
% Output : CNFRefutation 10.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 13 unt; 6 nHn; 24 RR)
% Number of literals : 41 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_6,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg') ).
cnf(cls_Message_OCrypt__synth__eq_0,axiom,
( 'c$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_Oanalz__conj__parts_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_Set_OUn__iff_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$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c1,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c2,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c3,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c4,plain,
( 'c$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$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OCrypt__synth__eq_0]) ).
cnf(c5,plain,
( 'c$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(c6,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__conj__parts_0]) ).
cnf(c7,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_OUn__iff_0]) ).
cnf(d0,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c5,c2]) ).
cnf(d1,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOsynth'('c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c3,d2]) ).
cnf(d4,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOanalz'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d5,c6]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c3,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV328-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n017.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 13:28:54 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.40/6.76 % SZS status Unsatisfiable for theBenchmark.p
% 10.40/6.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------