%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV244-2 : 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 : n011.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 12.66s 2.09s
% Output : CNFRefutation 12.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 10 unt; 3 nHn; 15 RR)
% Number of literals : 30 ( 0 equ; 14 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 : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uX','c$uunion'('c$uMessage$uOsynth'('v$uG'),'v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uin'('v$uX','c$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_Message_Oanalz_OInj_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'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(c0,plain,
'c$uin'('v$uX','c$uunion'('c$uMessage$uOsynth'('v$uG'),'v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
~ 'c$uin'('v$uX','c$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(c2,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(c3,plain,
( 'c$uin'(X0,'c$uunion'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUnCI_0]) ).
cnf(c4,plain,
( 'c$uin'(X0,'c$uunion'(X1,X3,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUnCI_1]) ).
cnf(c5,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(d0,plain,
~ 'c$uin'('v$uX','c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(d1,plain,
~ 'c$uin'('v$uX','c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
~ 'c$uin'('v$uX','v$uH','tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( 'c$uin'('v$uX','c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg')
| 'c$uin'('v$uX','v$uH','tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d4,plain,
~ 'c$uin'('v$uX','c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d5,plain,
'c$uin'('v$uX','v$uH','tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV244-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 13:21:59 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.66/2.09 % SZS status Unsatisfiable for theBenchmark.p
% 12.66/2.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------