%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV262-2 : 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 : n010.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 09:01:48 AM UTC 2026
% Result : Unsatisfiable 9.61s 6.66s
% Output : CNFRefutation 9.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 14 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uinsert'('v$uY','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')) != 'c$uunion'('c$uunion'('c$uMessage$uOparts'('c$uinsert'('v$uX','c$uemptyset','tc$uMessage$uOmsg')),'c$uMessage$uOparts'('c$uinsert'('v$uY','c$uemptyset','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg') ).
cnf(cls_Message_Oparts__Un_0,axiom,
'c$uMessage$uOparts'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')) = 'c$uunion'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ).
cnf(cls_Set_OUn__empty__left_0,axiom,
'c$uunion'('c$uemptyset',X0,X1) = X0 ).
cnf(cls_Set_OUn__insert__left_0,axiom,
'c$uunion'('c$uinsert'(X0,X1,X2),X3,X2) = 'c$uinsert'(X0,'c$uunion'(X1,X3,X2),X2) ).
cnf(c0,plain,
'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uinsert'('v$uY','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')) != 'c$uunion'('c$uunion'('c$uMessage$uOparts'('c$uinsert'('v$uX','c$uemptyset','tc$uMessage$uOmsg')),'c$uMessage$uOparts'('c$uinsert'('v$uY','c$uemptyset','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uMessage$uOparts'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')) = 'c$uunion'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_Message_Oparts__Un_0]) ).
cnf(c2,plain,
'c$uunion'('c$uemptyset',X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Set_OUn__empty__left_0]) ).
cnf(c3,plain,
'c$uunion'('c$uinsert'(X0,X1,X2),X3,X2) = 'c$uinsert'(X0,'c$uunion'(X1,X3,X2),X2),
inference(clausification,[status(esa)],[cls_Set_OUn__insert__left_0]) ).
cnf(d0,plain,
'c$uunion'('c$uinsert'(X2,'c$uemptyset',X1),X0,X1) = 'c$uinsert'(X2,X0,X1),
inference(superposition,[status(thm)],[c2,c3]) ).
cnf(d1,plain,
'c$uunion'('c$uinsert'(X3,'c$uinsert'(X0,'c$uemptyset',X1),X1),X2,X1) = 'c$uinsert'(X3,'c$uinsert'(X0,X2,X1),X1),
inference(superposition,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uinsert'('v$uY','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')) != 'c$uunion'('c$uMessage$uOparts'('c$uunion'('c$uinsert'('v$uX','c$uemptyset','tc$uMessage$uOmsg'),'c$uinsert'('v$uY','c$uemptyset','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[c0,c1]) ).
cnf(d3,plain,
'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uinsert'('v$uY','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')) != 'c$uMessage$uOparts'('c$uunion'('c$uunion'('c$uinsert'('v$uX','c$uemptyset','tc$uMessage$uOmsg'),'c$uinsert'('v$uY','c$uemptyset','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'v$uH','tc$uMessage$uOmsg')),
inference(demodulation,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uinsert'('v$uY','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')) != 'c$uMessage$uOparts'('c$uunion'('c$uinsert'('v$uX','c$uinsert'('v$uY','c$uemptyset','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),'v$uH','tc$uMessage$uOmsg')),
inference(demodulation,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uinsert'('v$uY','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')) != 'c$uMessage$uOparts'('c$uinsert'('v$uX','c$uinsert'('v$uY','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')),
inference(demodulation,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n010.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 13:24:53 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.61/6.66 % SZS status Unsatisfiable for theBenchmark.p
% 9.61/6.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------