%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV278-2 : 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 : n013.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 7.85s 1.51s
% Output : CNFRefutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 2 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('c$uMessage$uOinvKey'('v$uK$uH'))),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK$uH'),'c$uMessage$uOanalz'('v$uH'),'tc$uMessage$uOmsg') ).
cnf(cls_Message_Oanalz__conj__parts_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,
'c$uMessage$uOinvKey'('c$uMessage$uOinvKey'(X0)) = X0 ).
cnf(c0,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('c$uMessage$uOinvKey'('v$uK$uH'))),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c1,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK$uH'),'c$uMessage$uOanalz'('v$uH'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c2,plain,
( 'c$uin'(X0,'c$uMessage$uOparts'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz__conj__parts_0]) ).
cnf(c3,plain,
'c$uMessage$uOinvKey'('c$uMessage$uOinvKey'(X0)) = X0,
inference(clausification,[status(esa)],[cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0]) ).
cnf(d0,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK$uH'),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOKey'('v$uK$uH'),'c$uMessage$uOparts'('v$uH'),'tc$uMessage$uOmsg'),
inference(demodulation,[status(thm)],[c0,c3]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV278-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n013.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 26 13:26:23 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.85/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 7.85/1.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------