%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV339-2 : 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 09:02:05 AM UTC 2026
% Result : Unsatisfiable 9.43s 1.65s
% Output : CNFRefutation 9.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 7 unt; 3 nHn; 6 RR)
% Number of literals : 13 ( 6 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 6 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_6,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_8,negated_conjecture,
( 'v$uK' = 'c$uPublic$uOshrK'('v$uA')
| 'v$uK' = 'c$uPublic$uOshrK'('v$uB') ) ).
cnf(cls_Public_OshrK__in__used_0,axiom,
'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'(X0)),'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg') ).
cnf(c0,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'('v$uevs3'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c1,plain,
( 'v$uK' = 'c$uPublic$uOshrK'('v$uA')
| 'v$uK' = 'c$uPublic$uOshrK'('v$uB') ),
inference(clausification,[status(esa)],[cls_conjecture_8]) ).
cnf(c2,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('c$uPublic$uOshrK'(X0)),'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_Public_OshrK__in__used_0]) ).
cnf(d0,plain,
( 'v$uK' = 'c$uPublic$uOshrK'('v$uA')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'(X0),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
'v$uK' = 'c$uPublic$uOshrK'('v$uA'),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK'),'c$uEvent$uOused'(X0),'tc$uMessage$uOmsg'),
inference(superposition,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV339-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 13:37:05 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.43/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 9.43/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------