%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV721-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 09:04:36 AM UTC 2026
% Result : Unsatisfiable 3.17s 23.20s
% Output : CNFRefutation 140.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 49 ( 19 unt; 0 nHn; 28 RR)
% Number of literals : 79 ( 6 equ; 32 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 134 ( 61 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_insert__absorb_0,axiom,
( ~ 'c$uin'(X0,X1,X2)
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ) ).
cnf(cls_analz_OInj_0,axiom,
( ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_parts__analz_0,axiom,
'c$uMessage$uOparts'('c$uMessage$uOanalz'(X0)) = 'c$uMessage$uOparts'(X0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)) ).
cnf(cls_analz_OSnd_0,axiom,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,X0),'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_parts__cut__eq_0,axiom,
( ~ 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| 'c$uMessage$uOparts'('c$uSet$uOinsert'(X0,X1,'tc$uMessage$uOmsg')) = 'c$uMessage$uOparts'(X1) ) ).
cnf(cls_parts_OSnd_0,axiom,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,X0),'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_parts_OInj_0,axiom,
( ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_Says__imp__spies_0,axiom,
( ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X2,X3,X0),'c$uList$uOset'(X1,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'c$uin'(X0,'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_parts_OBody_0,axiom,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X2,X0),'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X1,X0))
| 'c$uin'(X0,X1,X2) ) ).
cnf(cls_mem__def_0,axiom,
( ~ 'c$uin'(X1,X0,X2)
| hBOOL(hAPP(X0,X1)) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uS','v$uA','c$uMessage$uOmsg$uOCrypt'('v$uKA','c$uMessage$uOmsg$uOMPair'('v$uN','c$uMessage$uOmsg$uOMPair'('v$uB','c$uMessage$uOmsg$uOMPair'('v$uK','v$uX'))))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uin'('v$uX','c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg') ).
cnf(c180,plain,
( ~ 'c$uin'(X0,X1,X2)
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ),
inference(clausification,[status(esa)],[cls_insert__absorb_0]) ).
cnf(c181,plain,
( ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_analz_OInj_0]) ).
cnf(c196,plain,
'c$uMessage$uOparts'('c$uMessage$uOanalz'(X0)) = 'c$uMessage$uOparts'(X0),
inference(clausification,[status(esa)],[cls_parts__analz_0]) ).
cnf(c267,plain,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)),
inference(clausification,[status(esa)],[cls_insert__code_1]) ).
cnf(c370,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,X0),'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_analz_OSnd_0]) ).
cnf(c379,plain,
( ~ 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| 'c$uMessage$uOparts'('c$uSet$uOinsert'(X0,X1,'tc$uMessage$uOmsg')) = 'c$uMessage$uOparts'(X1) ),
inference(clausification,[status(esa)],[cls_parts__cut__eq_0]) ).
cnf(c398,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,X0),'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_parts_OSnd_0]) ).
cnf(c403,plain,
( ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_parts_OInj_0]) ).
cnf(c405,plain,
( ~ 'c$uin'('c$uEvent$uOevent$uOSays'(X2,X3,X0),'c$uList$uOset'(X1,'tc$uEvent$uOevent'),'tc$uEvent$uOevent')
| 'c$uin'(X0,'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Says__imp__spies_0]) ).
cnf(c407,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X2,X0),'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_parts_OBody_0]) ).
cnf(c410,plain,
( ~ hBOOL(hAPP(X1,X0))
| 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_mem__def_1]) ).
cnf(c411,plain,
( ~ 'c$uin'(X1,X0,X2)
| hBOOL(hAPP(X0,X1)) ),
inference(clausification,[status(esa)],[cls_mem__def_0]) ).
cnf(c417,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uS','v$uA','c$uMessage$uOmsg$uOCrypt'('v$uKA','c$uMessage$uOmsg$uOMPair'('v$uN','c$uMessage$uOmsg$uOMPair'('v$uB','c$uMessage$uOmsg$uOMPair'('v$uK','v$uX'))))),'c$uList$uOset'('v$uevs','tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c418,plain,
~ 'c$uin'('v$uX','c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(d0,plain,
( hBOOL(hAPP('c$uMessage$uOparts'(X1),X0))
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c403,c411]) ).
cnf(d1,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),X2)
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d0,c410]) ).
cnf(d2,plain,
( ~ 'c$uin'(X1,'c$uMessage$uOanalz'(X0),'tc$uMessage$uOmsg')
| 'c$uin'(X1,'c$uMessage$uOparts'(X0),X2) ),
inference(superposition,[status(thm)],[c196,d1]) ).
cnf(d3,plain,
'c$uin'(X0,'c$uSet$uOinsert'(X0,X1,X2),X3),
inference(resolution,[status(thm)],[c410,c267]) ).
cnf(d4,plain,
( hBOOL(hAPP('c$uMessage$uOanalz'(X1),X0))
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c181,c411]) ).
cnf(d5,plain,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),X2)
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d4,c410]) ).
cnf(d6,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,X0),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c370,d5]) ).
cnf(d7,plain,
'c$uin'(X0,'c$uMessage$uOanalz'('c$uSet$uOinsert'('c$uMessage$uOmsg$uOMPair'(X1,X0),X2,X3)),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
'c$uin'(X0,'c$uMessage$uOanalz'('c$uSet$uOinsert'('c$uMessage$uOmsg$uOMPair'(X1,'c$uMessage$uOmsg$uOMPair'(X2,X0)),X3,X4)),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d7,c370]) ).
cnf(d9,plain,
'c$uin'(X0,'c$uMessage$uOparts'('c$uSet$uOinsert'('c$uMessage$uOmsg$uOMPair'(X1,'c$uMessage$uOmsg$uOMPair'(X2,X0)),X3,X4)),X5),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,'c$uMessage$uOmsg$uOMPair'(X1,X2)),'c$uMessage$uOparts'(X3),'tc$uMessage$uOmsg')
| 'c$uin'(X2,'c$uMessage$uOparts'(X3),X4) ),
inference(superposition,[status(thm)],[c379,d9]) ).
cnf(d11,plain,
( ~ 'c$uin'(X0,X1,X2)
| 'c$uin'(X0,X1,X3) ),
inference(superposition,[status(thm)],[c180,d3]) ).
cnf(d12,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X2,X0),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c407,d1]) ).
cnf(d13,plain,
'c$uin'(X0,'c$uMessage$uOparts'('c$uSet$uOinsert'('c$uMessage$uOmsg$uOCrypt'(X1,X0),X2,X3)),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d12,d3]) ).
cnf(d14,plain,
'c$uin'(X0,'c$uMessage$uOparts'('c$uSet$uOinsert'('c$uMessage$uOmsg$uOCrypt'(X1,'c$uMessage$uOmsg$uOMPair'(X2,X0)),X3,X4)),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d13,c398]) ).
cnf(d15,plain,
'c$uin'(X0,'c$uMessage$uOparts'('c$uSet$uOinsert'('c$uMessage$uOmsg$uOCrypt'(X1,'c$uMessage$uOmsg$uOMPair'(X2,X0)),X3,X4)),X5),
inference(resolution,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,'c$uMessage$uOmsg$uOMPair'(X1,X2)),X3,X4)
| 'c$uin'(X2,'c$uMessage$uOparts'(X3),X5) ),
inference(superposition,[status(thm)],[c180,d15]) ).
cnf(d17,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uKA','c$uMessage$uOmsg$uOMPair'('v$uN','c$uMessage$uOmsg$uOMPair'('v$uB','c$uMessage$uOmsg$uOMPair'('v$uK','v$uX')))),'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c417,c405]) ).
cnf(d18,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uB','c$uMessage$uOmsg$uOMPair'('v$uK','v$uX')),'c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),X0),
inference(resolution,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
'c$uin'('v$uX','c$uMessage$uOparts'('c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','v$uevs')),X0),
inference(resolution,[status(thm)],[d18,d10]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,c418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV721-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.38 % Computer : n016.cluster.edu
% 0.08/5.38 % Model : x86_64 x86_64
% 0.08/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.38 % Memory : 8046.5625MB
% 0.08/5.38 % OS : Linux 6.8.0-71-generic
% 0.08/5.38 % CPULimit : 300
% 0.08/5.38 % WCLimit : 300
% 0.08/5.38 % DateTime : Sat Sep 26 14:55:50 UTC 2026
% 0.08/5.38 % CPUTime :
% 0.08/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.17/23.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.17/23.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------