%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV273-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 09:01:51 AM UTC 2026
% Result : Unsatisfiable 8.85s 1.48s
% Output : CNFRefutation 8.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 26 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 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; 2 con; 0-3 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$ulessequals'('c$uunion'('c$uMessage$uOparts'('v$uH'),'c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'c$uMessage$uOparts'('c$uMessage$uOsynth'('v$uH')),'tc$uset'('tc$uMessage$uOmsg')) ).
cnf(cls_Message_Oparts__mono_0,axiom,
( 'c$ulessequals'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,X1,'tc$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_Osynth__increasing_0,axiom,
'c$ulessequals'(X0,'c$uMessage$uOsynth'(X0),'tc$uset'('tc$uMessage$uOmsg')) ).
cnf(cls_Set_OUn__subset__iff_2,axiom,
( 'c$ulessequals'('c$uunion'(X3,X0,X2),X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ) ).
cnf(cls_Set_Osubset__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uset'(X1)) ).
cnf(c0,plain,
~ 'c$ulessequals'('c$uunion'('c$uMessage$uOparts'('v$uH'),'c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'c$uMessage$uOparts'('c$uMessage$uOsynth'('v$uH')),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
( 'c$ulessequals'('c$uMessage$uOparts'(X0),'c$uMessage$uOparts'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_Message_Oparts__mono_0]) ).
cnf(c2,plain,
( 'c$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$uOmsg')) ),
inference(clausification,[status(esa)],[cls_Message_Oparts__subset__iff_0]) ).
cnf(c3,plain,
'c$ulessequals'(X0,'c$uMessage$uOsynth'(X0),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_Message_Osynth__increasing_0]) ).
cnf(c4,plain,
( 'c$ulessequals'('c$uunion'(X3,X0,X2),X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_OUn__subset__iff_2]) ).
cnf(c5,plain,
'c$ulessequals'(X0,X0,'tc$uset'(X1)),
inference(clausification,[status(esa)],[cls_Set_Osubset__refl_0]) ).
cnf(d0,plain,
( ~ 'c$ulessequals'('c$uMessage$uOsynth'('v$uH'),'c$uMessage$uOparts'('c$uMessage$uOsynth'('v$uH')),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('c$uMessage$uOparts'('v$uH'),'c$uMessage$uOparts'('c$uMessage$uOsynth'('v$uH')),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d1,plain,
'c$ulessequals'(X0,'c$uMessage$uOparts'(X0),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c2,c5]) ).
cnf(d2,plain,
~ 'c$ulessequals'('c$uMessage$uOparts'('v$uH'),'c$uMessage$uOparts'('c$uMessage$uOsynth'('v$uH')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
~ 'c$ulessequals'('v$uH','c$uMessage$uOsynth'('v$uH'),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c3,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV273-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 26 13:26:26 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.85/1.48 % SZS status Unsatisfiable for theBenchmark.p
% 8.85/1.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------