%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV251-2 : 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 : n017.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 09:01:46 AM UTC 2026
% Result : Unsatisfiable 10.38s 3.57s
% Output : CNFRefutation 10.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 17 unt; 0 nHn; 16 RR)
% Number of literals : 40 ( 7 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 49 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Oanalz__mono_0,axiom,
( 'c$ulessequals'('c$uMessage$uOanalz'(X0),'c$uMessage$uOanalz'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$uMessage$uOmsg')) ) ).
cnf(cls_Set_OUn__Diff__cancel_0,axiom,
'c$uunion'(X0,'c$uminus'(X1,X0,'tc$uset'(X2)),X2) = 'c$uunion'(X0,X1,X2) ).
cnf(cls_Set_OUn__subset__iff_1,axiom,
( 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$ulessequals'('c$uunion'(X0,X1,X2),X3,'tc$uset'(X2)) ) ).
cnf(cls_Set_Oinsert__Diff1_0,axiom,
( 'c$uminus'('c$uinsert'(X0,X3,X2),X1,'tc$uset'(X2)) = 'c$uminus'(X3,X1,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OsubsetD_0,axiom,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_Osubset__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uset'(X1)) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('v$ux','c$uMessage$uOanalz'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('v$ux','c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ).
cnf(c0,plain,
( 'c$ulessequals'('c$uMessage$uOanalz'(X0),'c$uMessage$uOanalz'(X1),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_Message_Oanalz__mono_0]) ).
cnf(c2,plain,
'c$uunion'(X0,'c$uminus'(X1,X0,'tc$uset'(X2)),X2) = 'c$uunion'(X0,X1,X2),
inference(clausification,[status(esa)],[cls_Set_OUn__Diff__cancel_0]) ).
cnf(c4,plain,
( 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$ulessequals'('c$uunion'(X0,X1,X2),X3,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_OUn__subset__iff_1]) ).
cnf(c6,plain,
( 'c$uminus'('c$uinsert'(X0,X3,X2),X1,'tc$uset'(X2)) = 'c$uminus'(X3,X1,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_Oinsert__Diff1_0]) ).
cnf(c7,plain,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetD_0]) ).
cnf(c9,plain,
'c$ulessequals'(X0,X0,'tc$uset'(X1)),
inference(clausification,[status(esa)],[cls_Set_Osubset__refl_0]) ).
cnf(c10,plain,
'c$uin'('v$uX','c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c11,plain,
'c$uin'('v$ux','c$uMessage$uOanalz'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c12,plain,
~ 'c$uin'('v$ux','c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(d0,plain,
'c$ulessequals'(X0,'c$uunion'(X1,X0,X2),'tc$uset'(X2)),
inference(resolution,[status(thm)],[c4,c9]) ).
cnf(d1,plain,
( ~ 'c$ulessequals'(X2,X1,'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(d2,plain,
( 'c$uin'('v$ux','c$uMessage$uOanalz'(X0),'tc$uMessage$uOmsg')
| ~ 'c$ulessequals'('c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg'),X0,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d1,c11]) ).
cnf(d3,plain,
'c$uin'('v$ux','c$uMessage$uOanalz'('c$uunion'(X0,'c$uinsert'('v$uX','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
'c$uminus'('c$uinsert'('v$uX',X0,'tc$uMessage$uOmsg'),'c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'tc$uset'('tc$uMessage$uOmsg')) = 'c$uminus'(X0,'c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c6,c10]) ).
cnf(d5,plain,
'c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'c$uminus'(X0,'c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'tc$uset'('tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') = 'c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'c$uinsert'('v$uX',X0,'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(superposition,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
'c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),X0,'tc$uMessage$uOmsg') = 'c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'c$uinsert'('v$uX',X0,'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
'c$uin'('v$ux','c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(superposition,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c12,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV251-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n017.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 13:18:19 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.38/3.57 % SZS status Unsatisfiable for theBenchmark.p
% 10.38/3.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------