%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV240-2 : 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 : n003.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 09:01:43 AM UTC 2026
% Result : Unsatisfiable 11.91s 2.15s
% Output : CNFRefutation 11.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 6 unt; 3 nHn; 12 RR)
% Number of literals : 30 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 31 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$ulessequals'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOanalz'('v$uG'),'v$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')) ).
cnf(cls_Message_Oanalz_OInj_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Oanalz__subset__cong_0,axiom,
( 'c$ulessequals'('c$uMessage$uOanalz'('c$uunion'(X2,X0,'tc$uMessage$uOmsg')),'c$uMessage$uOanalz'('c$uunion'(X3,X1,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('c$uMessage$uOanalz'(X2),'c$uMessage$uOanalz'(X3),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('c$uMessage$uOanalz'(X0),'c$uMessage$uOanalz'(X1),'tc$uset'('tc$uMessage$uOmsg')) ) ).
cnf(cls_Set_OsubsetI_0,axiom,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ) ).
cnf(cls_Set_OsubsetI_1,axiom,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X1,X2) ) ).
cnf(cls_Set_Osubset__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uset'(X1)) ).
cnf(c0,plain,
~ 'c$ulessequals'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOanalz'('v$uG'),'v$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz_OInj_0]) ).
cnf(c2,plain,
( 'c$ulessequals'('c$uMessage$uOanalz'('c$uunion'(X2,X0,'tc$uMessage$uOmsg')),'c$uMessage$uOanalz'('c$uunion'(X3,X1,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('c$uMessage$uOanalz'(X2),'c$uMessage$uOanalz'(X3),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('c$uMessage$uOanalz'(X0),'c$uMessage$uOanalz'(X1),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_Message_Oanalz__subset__cong_0]) ).
cnf(c3,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(c4,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_1]) ).
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$uOanalz'('v$uH'),'c$uMessage$uOanalz'('v$uH'),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('c$uMessage$uOanalz'('v$uG'),'c$uMessage$uOanalz'('c$uMessage$uOanalz'('v$uG')),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
~ 'c$ulessequals'('c$uMessage$uOanalz'('v$uG'),'c$uMessage$uOanalz'('c$uMessage$uOanalz'('v$uG')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c5,d0]) ).
cnf(d2,plain,
( ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg'),X1,'tc$uMessage$uOmsg')
| 'c$ulessequals'(X0,'c$uMessage$uOanalz'(X1),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(d3,plain,
( 'c$ulessequals'(X0,'c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'(X0,'c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV240-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 13:23:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.91/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 11.91/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------