%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV338-2 : 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 : n004.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 09:02:05 AM UTC 2026
% Result : Unsatisfiable 9.55s 6.67s
% Output : CNFRefutation 9.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 15 unt; 6 nHn; 25 RR)
% Number of literals : 46 ( 5 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 20 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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$uOmsg') ) ).
cnf(cls_Event_OkeysFor__parts__insert__dest_0,axiom,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'(X0)),'c$uMessage$uOparts'(X3),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uunion'(X2,X3,'tc$uMessage$uOmsg'))),'tc$unat')
| ~ 'c$uin'(X1,'c$uMessage$uOsynth'('c$uMessage$uOanalz'(X3)),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uinsert'(X1,X2,'tc$uMessage$uOmsg'))),'tc$unat') ) ).
cnf(cls_Public_OinvKey__K_0,axiom,
( 'c$uMessage$uOinvKey'(X0) = X0
| ~ 'c$uin'(X0,'c$uMessage$uOsymKeys','tc$unat') ) ).
cnf(cls_Set_OUn__absorb_0,axiom,
'c$uunion'(X0,X0,X1) = X0 ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uK','c$uMessage$uOsymKeys','tc$unat') ).
cnf(cls_conjecture_2,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_4,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevsf'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_5,negated_conjecture,
'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'),'tc$uMessage$uOmsg'))),'tc$unat') ).
cnf(cls_conjecture_6,negated_conjecture,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevsf'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'tc$unat') ) ).
cnf(c0,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$uOmsg') ),
inference(clausification,[status(esa)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]) ).
cnf(c1,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'(X0)),'c$uMessage$uOparts'(X3),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uunion'(X2,X3,'tc$uMessage$uOmsg'))),'tc$unat')
| ~ 'c$uin'(X1,'c$uMessage$uOsynth'('c$uMessage$uOanalz'(X3)),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uinsert'(X1,X2,'tc$uMessage$uOmsg'))),'tc$unat') ),
inference(clausification,[status(esa)],[cls_Event_OkeysFor__parts__insert__dest_0]) ).
cnf(c2,plain,
( 'c$uMessage$uOinvKey'(X0) = X0
| ~ 'c$uin'(X0,'c$uMessage$uOsymKeys','tc$unat') ),
inference(clausification,[status(esa)],[cls_Public_OinvKey__K_0]) ).
cnf(c3,plain,
'c$uunion'(X0,X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Set_OUn__absorb_0]) ).
cnf(c4,plain,
'c$uin'('v$uK','c$uMessage$uOsymKeys','tc$unat'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c5,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_2]) ).
cnf(c6,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevsf'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c7,plain,
'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uinsert'('v$uX','c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'),'tc$uMessage$uOmsg'))),'tc$unat'),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c8,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevsf'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'tc$unat') ),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(d0,plain,
'c$uMessage$uOinvKey'('v$uK') = 'v$uK',
inference(resolution,[status(thm)],[c2,c4]) ).
cnf(d1,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uMessage$uOparts'(X0),'tc$uMessage$uOmsg')
| 'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uunion'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'),X0,'tc$uMessage$uOmsg'))),'tc$unat')
| ~ 'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'(X0)),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c7,c1]) ).
cnf(d2,plain,
( ~ 'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'(X0)),'tc$uMessage$uOmsg')
| 'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uunion'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'),X0,'tc$uMessage$uOmsg'))),'tc$unat')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOparts'(X0),'tc$uMessage$uOmsg') ),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ 'c$uin'('v$uX','c$uMessage$uOsynth'('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$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg')
| 'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'tc$unat') ),
inference(superposition,[status(thm)],[c3,d2]) ).
cnf(d4,plain,
( 'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'tc$unat')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c5,d3]) ).
cnf(d5,plain,
~ 'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf'))),'tc$unat'),
inference(resolution,[status(thm)],[c6,c8]) ).
cnf(d6,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevsf')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevsf'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c6,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV338-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n004.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 13:34:27 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.55/6.67 % SZS status Unsatisfiable for theBenchmark.p
% 9.55/6.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------