%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV280-2 : 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 : n013.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 09:01:52 AM UTC 2026
% Result : Unsatisfiable 8.88s 1.58s
% Output : CNFRefutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs'),'tc$uMessage$uOmsg') ).
cnf(cls_Nat_Ole__add1_0,axiom,
'c$ulessequals'(X0,'c$uplus'(X0,X1,'tc$unat'),'tc$unat') ).
cnf(cls_Public_ONonce__supply__lemma_0,axiom,
( ~ 'c$ulessequals'('v$usko$u$uurX'(X1),X0,'tc$unat')
| ~ 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg') ) ).
cnf(c0,plain,
'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$ulessequals'(X0,'c$uplus'(X0,X1,'tc$unat'),'tc$unat'),
inference(clausification,[status(esa)],[cls_Nat_Ole__add1_0]) ).
cnf(c2,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'(X1),X0,'tc$unat')
| ~ 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Public_ONonce__supply__lemma_0]) ).
cnf(d0,plain,
~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs'),X0,'tc$unat'),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV280-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 13:26:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.88/1.58 % SZS status Unsatisfiable for theBenchmark.p
% 8.88/1.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------