%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV262-1 : 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 : n001.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 51.76s 7.99s
% Output : CNFRefutation 51.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 9 equ; 5 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 : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Oparts__insert_0,axiom,
'c$uMessage$uOparts'('c$uinsert'(X0,X1,'tc$uMessage$uOmsg')) = 'c$uunion'('c$uMessage$uOparts'('c$uinsert'(X0,'c$uemptyset','tc$uMessage$uOmsg')),'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ).
cnf(cls_Set_OUn__assoc_0,axiom,
'c$uunion'('c$uunion'(X0,X1,X2),X3,X2) = 'c$uunion'(X0,'c$uunion'(X1,X3,X2),X2) ).
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(c1,plain,
'c$uMessage$uOparts'('c$uinsert'(X0,X1,'tc$uMessage$uOmsg')) = 'c$uunion'('c$uMessage$uOparts'('c$uinsert'(X0,'c$uemptyset','tc$uMessage$uOmsg')),'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_Message_Oparts__insert_0]) ).
cnf(c2,plain,
'c$uunion'('c$uunion'(X0,X1,X2),X3,X2) = 'c$uunion'(X0,'c$uunion'(X1,X3,X2),X2),
inference(clausification,[status(esa)],[cls_Set_OUn__assoc_0]) ).
cnf(c3,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(d0,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$uinsert'('v$uX','c$uemptyset','tc$uMessage$uOmsg')),'c$uunion'('c$uMessage$uOparts'('c$uinsert'('v$uY','c$uemptyset','tc$uMessage$uOmsg')),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[c3,c2]) ).
cnf(d1,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$uinsert'('v$uX','c$uemptyset','tc$uMessage$uOmsg')),'c$uMessage$uOparts'('c$uinsert'('v$uY','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d0,c1]) ).
cnf(d2,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)],[d1,c1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV262-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 13:30:13 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 51.76/7.99 % SZS status Unsatisfiable for theBenchmark.p
% 51.76/7.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------