%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV242-1 : 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 : n015.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 09:01:44 AM UTC 2026
% Result : Unsatisfiable 86.47s 22.22s
% Output : CNFRefutation 86.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 44 ( 14 unt; 8 nHn; 31 RR)
% Number of literals : 78 ( 5 equ; 32 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 77 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
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__analzD__dest_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'('c$uMessage$uOanalz'(X1)),'tc$uMessage$uOmsg') ) ).
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__upper1_0,axiom,
'c$ulessequals'(X0,'c$uunion'(X0,X1,X2),'tc$uset'(X2)) ).
cnf(cls_Set_OUn__upper2_0,axiom,
'c$ulessequals'(X0,'c$uunion'(X1,X0,X2),'tc$uset'(X2)) ).
cnf(cls_Set_Osubset__trans_0,axiom,
( 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X3,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$ulessequals'('v$uG','c$uMessage$uOanalz'('v$uG$uH'),'tc$uset'('tc$uMessage$uOmsg')) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$ulessequals'('v$uH','c$uMessage$uOanalz'('v$uH$uH'),'tc$uset'('tc$uMessage$uOmsg')) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ 'c$ulessequals'('v$uG','c$uMessage$uOanalz'('c$uunion'('v$uG$uH','v$uH$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('v$uH','c$uMessage$uOanalz'('c$uunion'('v$uG$uH','v$uH$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')) ) ).
cnf(cls_Set_OpsubsetE_0,axiom,
( ~ 'c$ulessequals'(X1,X0,'tc$uset'(X2))
| ~ 'c$uless'(X0,X1,'tc$uset'(X2)) ) ).
cnf(cls_Set_OpsubsetI_0,axiom,
( X0 = X1
| 'c$uless'(X0,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ) ).
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(c12,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(c13,plain,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'('c$uMessage$uOanalz'(X1)),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz__analzD__dest_0]) ).
cnf(c14,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(c29,plain,
'c$ulessequals'(X0,'c$uunion'(X0,X1,X2),'tc$uset'(X2)),
inference(clausification,[status(esa)],[cls_Set_OUn__upper1_0]) ).
cnf(c30,plain,
'c$ulessequals'(X0,'c$uunion'(X1,X0,X2),'tc$uset'(X2)),
inference(clausification,[status(esa)],[cls_Set_OUn__upper2_0]) ).
cnf(c31,plain,
( 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X3,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_Osubset__trans_0]) ).
cnf(c32,plain,
'c$ulessequals'('v$uG','c$uMessage$uOanalz'('v$uG$uH'),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c33,plain,
'c$ulessequals'('v$uH','c$uMessage$uOanalz'('v$uH$uH'),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c34,plain,
( ~ 'c$ulessequals'('v$uG','c$uMessage$uOanalz'('c$uunion'('v$uG$uH','v$uH$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('v$uH','c$uMessage$uOanalz'('c$uunion'('v$uG$uH','v$uH$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c136,plain,
( ~ 'c$ulessequals'(X1,X0,'tc$uset'(X2))
| ~ 'c$uless'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_OpsubsetE_0]) ).
cnf(c138,plain,
( X0 = X1
| 'c$uless'(X0,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_OpsubsetI_0]) ).
cnf(c143,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(c144,plain,
( 'c$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(d0,plain,
( 'c$ulessequals'('v$uH',X0,'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('c$uMessage$uOanalz'('v$uH$uH'),X0,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c33,c31]) ).
cnf(d1,plain,
( ~ 'c$ulessequals'('v$uH$uH',X0,'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'('v$uH','c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d0,c14]) ).
cnf(d2,plain,
( 'c$ulessequals'(X0,X3,'tc$uset'(X2))
| ~ 'c$ulessequals'('c$uunion'(X0,X1,X2),X3,'tc$uset'(X2)) ),
inference(resolution,[status(thm)],[c31,c29]) ).
cnf(d3,plain,
( ~ 'c$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)],[c144,c12]) ).
cnf(d4,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)],[d3,c143]) ).
cnf(d5,plain,
'c$ulessequals'(X0,'c$uMessage$uOanalz'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( 'c$ulessequals'('v$uG',X0,'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('c$uMessage$uOanalz'('v$uG$uH'),X0,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c32,c31]) ).
cnf(d7,plain,
( ~ 'c$ulessequals'('v$uG$uH',X0,'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'('v$uG','c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d6,c14]) ).
cnf(d8,plain,
( 'c$uless'(X0,'c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg'))
| X0 = 'c$uMessage$uOanalz'(X0) ),
inference(resolution,[status(thm)],[d4,c138]) ).
cnf(d9,plain,
( ~ 'c$ulessequals'('c$uMessage$uOanalz'(X0),X0,'tc$uset'('tc$uMessage$uOmsg'))
| X0 = 'c$uMessage$uOanalz'(X0) ),
inference(resolution,[status(thm)],[d8,c136]) ).
cnf(d10,plain,
( 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)),X1,'tc$uMessage$uOmsg'),'c$uMessage$uOanalz'(X0),'tc$uMessage$uOmsg')
| 'c$ulessequals'('c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)),X1,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c143,c13]) ).
cnf(d11,plain,
( 'c$ulessequals'('c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)),'c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'('c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)),'c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d10,c144]) ).
cnf(d12,plain,
'c$uMessage$uOanalz'(X0) = 'c$uMessage$uOanalz'('c$uMessage$uOanalz'(X0)),
inference(resolution,[status(thm)],[d11,d9]) ).
cnf(d13,plain,
( ~ 'c$ulessequals'('v$uG$uH','c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'('v$uG','c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(superposition,[status(thm)],[d12,d7]) ).
cnf(d14,plain,
'c$ulessequals'('v$uG','c$uMessage$uOanalz'('c$uunion'('v$uG$uH',X0,'tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d13,d5]) ).
cnf(d15,plain,
~ 'c$ulessequals'('v$uH','c$uMessage$uOanalz'('c$uunion'('v$uG$uH','v$uH$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d14,c34]) ).
cnf(d16,plain,
~ 'c$ulessequals'('v$uH$uH','c$uunion'('v$uG$uH','v$uH$uH','tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[c30,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n015.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 26 13:24:44 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.47/22.22 % SZS status Unsatisfiable for theBenchmark.p
% 86.47/22.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------