%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV306-1 : 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 : n010.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 09:01:57 AM UTC 2026
% Result : Unsatisfiable 144.80s 21.59s
% Output : CNFRefutation 144.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 17 unt; 0 nHn; 25 RR)
% Number of literals : 33 ( 4 equ; 11 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 22 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uEvent$uOused'('v$uevs1'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_3,negated_conjecture,
'v$uA' = 'v$uAa' ).
cnf(cls_conjecture_4,negated_conjecture,
'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa') ).
cnf(cls_conjecture_7,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('v$uNA$uH','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA$uH'),'c$uMessage$uOmsg$uOAgent'('v$uAa'))))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg') ).
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$uOmsg') ) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( 'c$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$uOmsg') ) ).
cnf(cls_Message_Oparts_OBody__dest_0,axiom,
( 'c$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(c3,plain,
~ 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uEvent$uOused'('v$uevs1'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c4,plain,
'v$uA' = 'v$uAa',
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c5,plain,
'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c8,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('v$uNA$uH','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA$uH'),'c$uMessage$uOmsg$uOAgent'('v$uAa'))))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(c1369,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$uOmsg') ),
inference(clausification,[status(esa)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]) ).
cnf(c1409,plain,
( 'c$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(c1410,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$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_1]) ).
cnf(c1450,plain,
( 'c$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(d0,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA$uH','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA$uH'),'c$uMessage$uOmsg$uOAgent'('v$uAa'))))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[c8,c4]) ).
cnf(d1,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA$uH','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA$uH'),'c$uMessage$uOmsg$uOAgent'('v$uAa'))))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('v$uNA$uH','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA$uH'),'c$uMessage$uOmsg$uOAgent'('v$uA'))))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA$uH','c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA$uH'),'c$uMessage$uOmsg$uOAgent'('v$uA')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c1450,d2]) ).
cnf(d4,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uNA','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA$uH'),'c$uMessage$uOmsg$uOAgent'('v$uA'))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d3,c1409]) ).
cnf(d5,plain,
'c$uin'('v$uNA','c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d4,c1410]) ).
cnf(d6,plain,
'c$uin'('v$uNA','c$uEvent$uOused'('v$uevs1'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d5,c1369]) ).
cnf(d7,plain,
~ 'c$uin'('v$uNA','c$uEvent$uOused'('v$uevs1'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[c3,c5]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV306-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 13:31:16 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.80/21.59 % SZS status Unsatisfiable for theBenchmark.p
% 144.80/21.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------