%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV243-2 : 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 : n003.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 09:01:44 AM UTC 2026
% Result : Unsatisfiable 15.96s 2.56s
% Output : CNFRefutation 15.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 9 ( 8 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uMessage$uOanalz'('c$uMessage$uOsynth'('v$uH')) != 'c$uunion'('c$uMessage$uOanalz'('v$uH'),'c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg') ).
cnf(cls_Message_Oanalz__synth__Un_0,axiom,
'c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'(X0),X1,'tc$uMessage$uOmsg')) = 'c$uunion'('c$uMessage$uOanalz'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')),'c$uMessage$uOsynth'(X0),'tc$uMessage$uOmsg') ).
cnf(cls_Set_OUn__empty__right_0,axiom,
'c$uunion'(X0,'c$uemptyset',X1) = X0 ).
cnf(c0,plain,
'c$uMessage$uOanalz'('c$uMessage$uOsynth'('v$uH')) != 'c$uunion'('c$uMessage$uOanalz'('v$uH'),'c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'(X0),X1,'tc$uMessage$uOmsg')) = 'c$uunion'('c$uMessage$uOanalz'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')),'c$uMessage$uOsynth'(X0),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_Message_Oanalz__synth__Un_0]) ).
cnf(c2,plain,
'c$uunion'(X0,'c$uemptyset',X1) = X0,
inference(clausification,[status(esa)],[cls_Set_OUn__empty__right_0]) ).
cnf(d0,plain,
'c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'(X0),'c$uemptyset','tc$uMessage$uOmsg')) = 'c$uunion'('c$uMessage$uOanalz'(X0),'c$uMessage$uOsynth'(X0),'tc$uMessage$uOmsg'),
inference(superposition,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
'c$uMessage$uOanalz'('c$uMessage$uOsynth'(X0)) = 'c$uunion'('c$uMessage$uOanalz'(X0),'c$uMessage$uOsynth'(X0),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV243-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n003.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sat Sep 26 13:23:54 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.96/2.56 % SZS status Unsatisfiable for theBenchmark.p
% 15.96/2.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------