%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV246-1 : 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 : 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 09:01:45 AM UTC 2026
% Result : Unsatisfiable 167.16s 29.71s
% Output : CNFRefutation 167.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 10 unt; 7 nHn; 22 RR)
% Number of literals : 48 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 48 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uunion'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('v$uY','c$uunion'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') ).
cnf(cls_Set_OUnCI_0,axiom,
( 'c$uin'(X0,'c$uunion'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OUnCI_1,axiom,
( 'c$uin'(X0,'c$uunion'(X1,X3,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OUnE_0,axiom,
( 'c$uin'(X0,X1,X3)
| 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uunion'(X1,X2,X3),X3) ) ).
cnf(cls_Message_OMPair__analz_0,axiom,
( 'c$uin'(X1,'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_OMPair__synth_0,axiom,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),X2,'tc$uMessage$uOmsg')
| 'c$uin'(X1,'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOsynth'(X2),'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(c4,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uunion'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c5,plain,
~ 'c$uin'('v$uY','c$uunion'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c1331,plain,
( 'c$uin'(X0,'c$uunion'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUnCI_0]) ).
cnf(c1332,plain,
( 'c$uin'(X0,'c$uunion'(X1,X3,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUnCI_1]) ).
cnf(c1333,plain,
( 'c$uin'(X0,X1,X3)
| 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uunion'(X1,X2,X3),X3) ),
inference(clausification,[status(esa)],[cls_Set_OUnE_0]) ).
cnf(c1367,plain,
( 'c$uin'(X1,'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__analz_0]) ).
cnf(c1371,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),X2,'tc$uMessage$uOmsg')
| 'c$uin'(X1,'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__synth_0]) ).
cnf(c1382,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(d0,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1333,c4]) ).
cnf(d1,plain,
( 'c$uin'('v$uY','c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d0,c1367]) ).
cnf(d2,plain,
~ 'c$uin'('v$uY','c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c1332,c5]) ).
cnf(d3,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'v$uG','tc$uMessage$uOmsg')
| 'c$uin'('v$uY','c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d3,c1371]) ).
cnf(d5,plain,
~ 'c$uin'('v$uY','c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c1331,c5]) ).
cnf(d6,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'v$uG','tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,X0),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1367,c1382]) ).
cnf(d8,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X3,X0),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d7,c1332]) ).
cnf(d9,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,'v$uY'),'v$uG','tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV246-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 13:18:03 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 167.16/29.71 % SZS status Unsatisfiable for theBenchmark.p
% 167.16/29.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------