%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV242-2 : 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 : n013.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 13.93s 2.44s
% Output : CNFRefutation 13.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 34 ( 0 equ; 18 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 : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 29 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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_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(c0,plain,
'c$ulessequals'('v$uG','c$uMessage$uOanalz'('v$uG$uH'),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$ulessequals'('v$uH','c$uMessage$uOanalz'('v$uH$uH'),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,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(c3,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(c4,plain,
'c$ulessequals'(X0,'c$uunion'(X0,X1,X2),'tc$uset'(X2)),
inference(clausification,[status(esa)],[cls_Set_OUn__upper1_0]) ).
cnf(c5,plain,
'c$ulessequals'(X0,'c$uunion'(X1,X0,X2),'tc$uset'(X2)),
inference(clausification,[status(esa)],[cls_Set_OUn__upper2_0]) ).
cnf(c6,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(d0,plain,
( ~ 'c$ulessequals'(X2,X1,'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'(X0,'c$uMessage$uOanalz'(X2),'tc$uset'('tc$uMessage$uOmsg'))
| 'c$ulessequals'(X0,'c$uMessage$uOanalz'(X1),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[c6,c3]) ).
cnf(d1,plain,
( 'c$ulessequals'('v$uG','c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('v$uG$uH',X0,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( 'c$ulessequals'('v$uH','c$uMessage$uOanalz'(X0),'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$ulessequals'('v$uH$uH',X0,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d3,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$uH','c$uunion'('v$uG$uH','v$uH$uH','tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
~ 'c$ulessequals'('v$uG','c$uMessage$uOanalz'('c$uunion'('v$uG$uH','v$uH$uH','tc$uMessage$uOmsg')),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[c5,d3]) ).
cnf(d5,plain,
~ 'c$ulessequals'('v$uG$uH','c$uunion'('v$uG$uH','v$uH$uH','tc$uMessage$uOmsg'),'tc$uset'('tc$uMessage$uOmsg')),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c4,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV242-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n013.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 26 13:20:51 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.93/2.44 % SZS status Unsatisfiable for theBenchmark.p
% 13.93/2.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------