%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV259-2 : 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 : n026.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 7.39s 1.98s
% Output : CNFRefutation 7.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 23 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$ulessequals'('c$uMessage$uOparts'('v$uH'),'c$uMessage$uOparts'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')) ).
cnf(cls_Message_Oparts__subset__iff_0,axiom,
( 'c$ulessequals'(X0,'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg')) ) ).
cnf(cls_Message_Oparts__subset__iff_1,axiom,
( 'c$ulessequals'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg')) ) ).
cnf(cls_Set_Oinsert__subset_1,axiom,
( 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$ulessequals'('c$uinsert'(X0,X1,X2),X3,'tc$uset'(X2)) ) ).
cnf(cls_Set_Osubset__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uset'(X1)) ).
cnf(c0,plain,
~ 'c$ulessequals'('c$uMessage$uOparts'('v$uH'),'c$uMessage$uOparts'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c1,plain,
( 'c$ulessequals'(X0,'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_Message_Oparts__subset__iff_0]) ).
cnf(c2,plain,
( 'c$ulessequals'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_Message_Oparts__subset__iff_1]) ).
cnf(c3,plain,
( 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$ulessequals'('c$uinsert'(X0,X1,X2),X3,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_Oinsert__subset_1]) ).
cnf(c4,plain,
'c$ulessequals'(X0,X0,'tc$uset'(X1)),
inference(clausification,[status(esa)],[cls_Set_Osubset__refl_0]) ).
cnf(d0,plain,
~ 'c$ulessequals'('v$uH','c$uMessage$uOparts'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
'c$ulessequals'(X0,'c$uMessage$uOparts'(X0),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c1,c4]) ).
cnf(d2,plain,
'c$ulessequals'(X0,'c$uMessage$uOparts'('c$uinsert'(X1,X0,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV259-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % Computer : n026.cluster.edu
% 0.10/0.45 % Model : x86_64 x86_64
% 0.10/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.45 % Memory : 8046.5625MB
% 0.10/0.45 % OS : Linux 6.8.0-71-generic
% 0.10/0.45 % CPULimit : 300
% 0.10/0.45 % WCLimit : 300
% 0.10/0.45 % DateTime : Sat Sep 26 13:26:25 UTC 2026
% 0.10/0.45 % CPUTime :
% 0.10/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.39/1.98 % SZS status Unsatisfiable for theBenchmark.p
% 7.39/1.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------