%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV331-2 : 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 : n002.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 13.81s 2.36s
% Output : CNFRefutation 13.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 11 unt; 0 nHn; 18 RR)
% Number of literals : 32 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uevs3','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_2,negated_conjecture,
'c$uin'('v$uK','c$uMessage$uOsymKeys','tc$unat') ).
cnf(cls_conjecture_5,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg') ).
cnf(cls_Public_OCrypt__imp__keysFor_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOkeysFor'(X2),'tc$unat')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),X2,'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOsymKeys','tc$unat') ) ).
cnf(cls_Yahalom_Onew__keys__not__used_0,axiom,
( 'c$uin'('c$uMessage$uOmsg$uOKey'(X0),'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X1,'c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent'))
| ~ 'c$uin'(X0,'c$uMessage$uOsymKeys','tc$unat')
| ~ 'c$uin'(X0,'c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1))),'tc$unat') ) ).
cnf(c0,plain,
'c$uin'('v$uevs3','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
'c$uin'('v$uK','c$uMessage$uOsymKeys','tc$unat'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uONonce'('v$uNB')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c4,plain,
( 'c$uin'(X0,'c$uMessage$uOkeysFor'(X2),'tc$unat')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),X2,'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOsymKeys','tc$unat') ),
inference(clausification,[status(esa)],[cls_Public_OCrypt__imp__keysFor_0]) ).
cnf(c5,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'(X0),'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X1,'c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent'))
| ~ 'c$uin'(X0,'c$uMessage$uOsymKeys','tc$unat')
| ~ 'c$uin'(X0,'c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1))),'tc$unat') ),
inference(clausification,[status(esa)],[cls_Yahalom_Onew__keys__not__used_0]) ).
cnf(d0,plain,
( 'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3'))),'tc$unat')
| ~ 'c$uin'('v$uK','c$uMessage$uOsymKeys','tc$unat') ),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(d1,plain,
'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs3'))),'tc$unat'),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uevs3','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent'))
| ~ 'c$uin'('v$uK','c$uMessage$uOsymKeys','tc$unat') ),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('v$uevs3','c$uYahalom$uOyahalom','tc$uList$uOlist'('tc$uEvent$uOevent')) ),
inference(resolution,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c0,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c1,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV331-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n002.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 13:35:51 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.81/2.36 % SZS status Unsatisfiable for theBenchmark.p
% 13.81/2.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------