%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV326-1 : 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 : n011.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 24.67s 13.55s
% Output : CNFRefutation 24.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 12 unt; 14 nHn; 35 RR)
% Number of literals : 59 ( 29 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 16 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_15,negated_conjecture,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uB' = 'v$uBa' ) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uEvent$uOused'('v$uevs1'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_21,negated_conjecture,
( 'v$uC' = 'v$uBa'
| 'c$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$uevs1')),'tc$uMessage$uOmsg') ) ).
cnf(cls_conjecture_3,negated_conjecture,
'v$uA' = 'v$uAa' ).
cnf(cls_conjecture_31,negated_conjecture,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg')
| 'v$uB' = 'v$uBa' ) ).
cnf(cls_conjecture_38,negated_conjecture,
( 'v$uB' != 'v$uBa'
| 'v$uBa' != 'v$uC' ) ).
cnf(cls_conjecture_5,negated_conjecture,
'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa') ).
cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
( 'c$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_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(c8,plain,
( 'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa')
| 'v$uB' = 'v$uBa' ),
inference(clausification,[status(esa)],[cls_conjecture_15]) ).
cnf(c13,plain,
~ 'c$uin'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uEvent$uOused'('v$uevs1'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c15,plain,
( 'v$uC' = 'v$uBa'
| 'c$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$uevs1')),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_conjecture_21]) ).
cnf(c24,plain,
'v$uA' = 'v$uAa',
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c26,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg')
| 'v$uB' = 'v$uBa' ),
inference(clausification,[status(esa)],[cls_conjecture_31]) ).
cnf(c33,plain,
( 'v$uB' != 'v$uBa'
| 'v$uBa' != 'v$uC' ),
inference(clausification,[status(esa)],[cls_conjecture_38]) ).
cnf(c36,plain,
'v$uNA' = 'c$uMessage$uOmsg$uONonce'('v$uNAa'),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c1400,plain,
( 'c$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(c1441,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$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_1]) ).
cnf(c1481,plain,
( 'c$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'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uAa'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg')
| 'v$uB' = 'v$uBa' ),
inference(demodulation,[status(thm)],[c26,c24]) ).
cnf(d1,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('c$uPublic$uOshrK'('v$uA'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNAa'),'c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uOAgent'('v$uA'),'c$uMessage$uOmsg$uOAgent'('v$uB')))),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg')
| 'v$uB' = 'v$uBa' ),
inference(demodulation,[status(thm)],[d0,c24]) ).
cnf(d2,plain,
( 'v$uB' = 'v$uBa'
| 'v$uB' = 'v$uBa'
| '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$uOSpy','v$uevs1')),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[c8,d1]) ).
cnf(d3,plain,
( 'c$uin'('c$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$uOSpy','v$uevs1')),'tc$uMessage$uOmsg')
| 'v$uB' = 'v$uBa' ),
inference(resolution,[status(thm)],[d2,c1481]) ).
cnf(d4,plain,
( 'c$uin'('v$uNA','c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg')
| 'v$uB' = 'v$uBa' ),
inference(resolution,[status(thm)],[d3,c1441]) ).
cnf(d5,plain,
( 'v$uC' = 'v$uBa'
| 'c$uin'('c$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$uOSpy','v$uevs1')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1481,c15]) ).
cnf(d6,plain,
( 'c$uin'('v$uNA','c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg')
| 'v$uC' = 'v$uBa' ),
inference(resolution,[status(thm)],[d5,c1441]) ).
cnf(d7,plain,
( 'c$uin'('v$uNA','c$uEvent$uOused'('v$uevs1'),'tc$uMessage$uOmsg')
| 'v$uC' = 'v$uBa' ),
inference(resolution,[status(thm)],[d6,c1400]) ).
cnf(d8,plain,
~ 'c$uin'('v$uNA','c$uEvent$uOused'('v$uevs1'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[c13,c36]) ).
cnf(d9,plain,
'v$uC' = 'v$uBa',
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( 'v$uBa' != 'v$uBa'
| 'v$uB' != 'v$uBa' ),
inference(demodulation,[status(thm)],[c33,d9]) ).
cnf(d11,plain,
'v$uB' != 'v$uBa',
inference(equality_resolution,[status(thm)],[d10]) ).
cnf(d12,plain,
'c$uin'('v$uNA','c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs1')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
'c$uin'('v$uNA','c$uEvent$uOused'('v$uevs1'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d12,c1400]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d8,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV326-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 13:32:59 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.67/13.55 % SZS status Unsatisfiable for theBenchmark.p
% 24.67/13.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------