%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV277-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:01:52 AM UTC 2026
% Result : Unsatisfiable 8.77s 17.61s
% Output : CNFRefutation 8.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 23 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Oanalz__subset__parts_0,axiom,
'c$ulessequals'('c$uMessage$uOanalz'(X0),'c$uMessage$uOparts'(X0),'tc$uset'('tc$uMessage$uOmsg')) ).
cnf(cls_Message_OkeysFor__mono_0,axiom,
( 'c$ulessequals'('c$uMessage$uOkeysFor'(X0),'c$uMessage$uOkeysFor'(X1),'tc$uset'('tc$unat'))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$uMessage$uOmsg')) ) ).
cnf(cls_Set_OsubsetD_0,axiom,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('v$uH')),'tc$unat') ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOanalz'('v$uH')),'tc$unat') ).
cnf(c0,plain,
'c$ulessequals'('c$uMessage$uOanalz'(X0),'c$uMessage$uOparts'(X0),'tc$uset'('tc$uMessage$uOmsg')),
inference(clausification,[status(esa)],[cls_Message_Oanalz__subset__parts_0]) ).
cnf(c1,plain,
( 'c$ulessequals'('c$uMessage$uOkeysFor'(X0),'c$uMessage$uOkeysFor'(X1),'tc$uset'('tc$unat'))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(clausification,[status(esa)],[cls_Message_OkeysFor__mono_0]) ).
cnf(c2,plain,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetD_0]) ).
cnf(c3,plain,
~ 'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('v$uH')),'tc$unat'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c4,plain,
'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOanalz'('v$uH')),'tc$unat'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(d0,plain,
( ~ 'c$ulessequals'(X2,X1,'tc$uset'('tc$uMessage$uOmsg'))
| ~ 'c$uin'(X0,'c$uMessage$uOkeysFor'(X2),'tc$unat')
| 'c$uin'(X0,'c$uMessage$uOkeysFor'(X1),'tc$unat') ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
( 'c$uin'('v$uK','c$uMessage$uOkeysFor'(X0),'tc$unat')
| ~ 'c$ulessequals'('c$uMessage$uOanalz'('v$uH'),X0,'tc$uset'('tc$uMessage$uOmsg')) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
'c$uin'('v$uK','c$uMessage$uOkeysFor'('c$uMessage$uOparts'('v$uH')),'tc$unat'),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV277-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.02/15.22 % CPULimit : 300
% 0.02/15.22 % WCLimit : 300
% 0.02/15.22 % DateTime : Sat Sep 26 13:25:57 UTC 2026
% 0.02/15.22 % CPUTime :
% 0.02/15.22 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.77/17.61 % SZS status Unsatisfiable for theBenchmark.p
% 8.77/17.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------