%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV250-2 : 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 : n006.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 6.62s 6.72s
% Output : CNFRefutation 6.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 12 unt; 5 nHn; 13 RR)
% Number of literals : 33 ( 4 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 35 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
'c$uin'('v$ux','c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_3,negated_conjecture,
~ 'c$uin'('v$ux','c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') ).
cnf(cls_Message_Oanalz__analz__Un_0,axiom,
'c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOanalz'(X0),X1,'tc$uMessage$uOmsg')) = 'c$uMessage$uOanalz'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')) ).
cnf(cls_Message_Oanalz__synth__Un_0,axiom,
'c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'(X0),X1,'tc$uMessage$uOmsg')) = 'c$uunion'('c$uMessage$uOanalz'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')),'c$uMessage$uOsynth'(X0),'tc$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'('v$ux','c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c1,plain,
~ 'c$uin'('v$ux','c$uunion'('c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c2,plain,
'c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOanalz'(X0),X1,'tc$uMessage$uOmsg')) = 'c$uMessage$uOanalz'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_Message_Oanalz__analz__Un_0]) ).
cnf(c3,plain,
'c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'(X0),X1,'tc$uMessage$uOmsg')) = 'c$uunion'('c$uMessage$uOanalz'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')),'c$uMessage$uOsynth'(X0),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_Message_Oanalz__synth__Un_0]) ).
cnf(c4,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(c5,plain,
( 'c$uin'(X0,'c$uunion'(X1,X3,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUn__iff_1]) ).
cnf(c6,plain,
( 'c$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$uin'(X2,'c$uMessage$uOanalz'('c$uunion'(X0,X1,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$uin'(X2,'c$uMessage$uOsynth'(X0),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X2,'c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOsynth'(X0),X1,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(superposition,[status(thm)],[c3,c4]) ).
cnf(d1,plain,
( 'c$uin'('v$ux','c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'tc$uMessage$uOmsg')
| 'c$uin'('v$ux','c$uMessage$uOanalz'('c$uunion'('c$uMessage$uOanalz'('v$uG'),'v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( 'c$uin'('v$ux','c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'tc$uMessage$uOmsg')
| 'c$uin'('v$ux','c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(demodulation,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
~ 'c$uin'('v$ux','c$uMessage$uOsynth'('c$uMessage$uOanalz'('v$uG')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(d4,plain,
'c$uin'('v$ux','c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
~ 'c$uin'('v$ux','c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV250-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n006.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 13:22:46 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.62/6.72 % SZS status Unsatisfiable for theBenchmark.p
% 6.62/6.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------