%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV280-1 : 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 : n017.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 42.39s 9.90s
% Output : CNFRefutation 42.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 6 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 14 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Nat_Oless__Suc__eq__le_0,axiom,
( 'c$ulessequals'(X0,X1,'tc$unat')
| ~ 'c$uless'(X0,'c$uSuc'(X1),'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(cls_conjecture_0,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs'),'tc$uMessage$uOmsg') ).
cnf(cls_Nat_OlessI_0,axiom,
'c$uless'(X0,'c$uSuc'(X0),'tc$unat') ).
cnf(c2,plain,
( 'c$ulessequals'(X0,X1,'tc$unat')
| ~ 'c$uless'(X0,'c$uSuc'(X1),'tc$unat') ),
inference(clausification,[status(esa)],[cls_Nat_Oless__Suc__eq__le_0]) ).
cnf(c4,plain,
( ~ 'c$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(c5,plain,
'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c70,plain,
'c$uless'(X0,'c$uSuc'(X0),'tc$unat'),
inference(clausification,[status(esa)],[cls_Nat_OlessI_0]) ).
cnf(d0,plain,
'c$ulessequals'(X0,X0,'tc$unat'),
inference(resolution,[status(thm)],[c70,c2]) ).
cnf(d1,plain,
~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs'),X0,'tc$unat'),
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV280-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n017.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sat Sep 26 13:22:48 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.39/9.90 % SZS status Unsatisfiable for theBenchmark.p
% 42.39/9.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------