%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV271-2 : 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 : n012.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 09:01:50 AM UTC 2026
% Result : Unsatisfiable 9.34s 17.80s
% Output : CNFRefutation 9.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 9 unt; 8 nHn; 22 RR)
% Number of literals : 48 ( 0 equ; 17 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; 4 con; 0-3 aty)
% Number of variables : 43 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uunion'('c$uMessage$uOparts'('v$uH'),'c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('v$uY','c$uunion'('c$uMessage$uOparts'('v$uH'),'c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') ).
cnf(cls_Message_OMPair__parts_0,axiom,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$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_Oparts_OInj_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ) ).
cnf(cls_Set_OUn__iff_0,axiom,
( 'c$uin'(X0,X1,X3)
| 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uunion'(X1,X2,X3),X3) ) ).
cnf(cls_Set_OUn__iff_1,axiom,
( 'c$uin'(X0,'c$uunion'(X1,X3,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OUn__iff_2,axiom,
( 'c$uin'(X0,'c$uunion'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(c0,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uunion'('c$uMessage$uOparts'('v$uH'),'c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c1,plain,
~ 'c$uin'('v$uY','c$uunion'('c$uMessage$uOparts'('v$uH'),'c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c2,plain,
( 'c$uin'(X1,'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X0,X1),'c$uMessage$uOparts'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OMPair__parts_0]) ).
cnf(c3,plain,
( 'c$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(c4,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oparts_OInj_0]) ).
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_OUn__iff_0]) ).
cnf(c6,plain,
( 'c$uin'(X0,'c$uunion'(X1,X3,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUn__iff_1]) ).
cnf(c7,plain,
( 'c$uin'(X0,'c$uunion'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUn__iff_2]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOMPair'(X2,X0),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c2,c4]) ).
cnf(d1,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d2,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'v$uH','tc$uMessage$uOmsg')
| 'c$uin'('v$uY','c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
~ 'c$uin'('v$uY','c$uMessage$uOsynth'('v$uH'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c7,c1]) ).
cnf(d4,plain,
( 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'v$uH','tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( 'c$uin'('v$uY','c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'v$uH','tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
~ 'c$uin'('v$uY','c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d7,plain,
'c$uin'('c$uMessage$uOmsg$uOMPair'('v$uX','v$uY'),'v$uH','tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
'c$uin'('v$uY','c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d6,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV271-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/15.33 % Computer : n012.cluster.edu
% 0.04/15.33 % Model : x86_64 x86_64
% 0.04/15.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/15.33 % Memory : 8046.5625MB
% 0.04/15.33 % OS : Linux 6.8.0-71-generic
% 0.04/15.33 % CPULimit : 300
% 0.04/15.33 % WCLimit : 300
% 0.04/15.33 % DateTime : Sat Sep 26 13:25:57 UTC 2026
% 0.04/15.33 % CPUTime :
% 0.04/15.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.34/17.80 % SZS status Unsatisfiable for theBenchmark.p
% 9.34/17.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------