%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV811-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 09:04:45 AM UTC 2026
% Result : Unsatisfiable 27.25s 7.42s
% Output : CNFRefutation 27.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 8 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_emptyE_0,axiom,
~ 'c$uin'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1) ).
cnf(cls_set__empty2_1,axiom,
'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')) = 'c$uList$uOset'('c$uList$uOlist$uONil'(X0),X0) ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uA','v$uB','c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uONonce'('v$uNB')))),'c$uList$uOset'('c$uList$uOlist$uONil'('tc$uEvent$uOevent'),'tc$uEvent$uOevent'),'tc$uEvent$uOevent') ).
cnf(c185,plain,
~ 'c$uin'(X0,'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X1,'tc$ubool')),X1),
inference(clausification,[status(esa)],[cls_emptyE_0]) ).
cnf(c272,plain,
'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')) = 'c$uList$uOset'('c$uList$uOlist$uONil'(X0),X0),
inference(clausification,[status(esa)],[cls_set__empty2_1]) ).
cnf(c529,plain,
'c$uin'('c$uEvent$uOevent$uOSays'('v$uA','v$uB','c$uMessage$uOmsg$uOCrypt'('v$uK','c$uMessage$uOmsg$uOMPair'('c$uMessage$uOmsg$uONonce'('v$uNB'),'c$uMessage$uOmsg$uONonce'('v$uNB')))),'c$uList$uOset'('c$uList$uOlist$uONil'('tc$uEvent$uOevent'),'tc$uEvent$uOevent'),'tc$uEvent$uOevent'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(d0,plain,
~ 'c$uin'(X1,'c$uList$uOset'('c$uList$uOlist$uONil'(X0),X0),X0),
inference(superposition,[status(thm)],[c272,c185]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c529]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV811-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n007.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sat Sep 26 14:57:54 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.25/7.42 % SZS status Unsatisfiable for theBenchmark.p
% 27.25/7.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------