%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL432-2 : 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 : n019.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 07:54:35 AM UTC 2026
% Result : Unsatisfiable 9.10s 2.78s
% Output : CNFRefutation 9.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uPropLog$uOsat'('c$uemptyset','v$ux','t$ua') ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$uin'('v$ux','c$uPropLog$uOthms'('c$uemptyset','t$ua'),'tc$uPropLog$uOpl'('t$ua')) ).
cnf(cls_PropLog_Ocompleteness__0_0,axiom,
( 'c$uin'(X0,'c$uPropLog$uOthms'('c$uemptyset',X1),'tc$uPropLog$uOpl'(X1))
| ~ 'c$uPropLog$uOsat'('c$uemptyset',X0,X1) ) ).
cnf(c0,plain,
'c$uPropLog$uOsat'('c$uemptyset','v$ux','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
~ 'c$uin'('v$ux','c$uPropLog$uOthms'('c$uemptyset','t$ua'),'tc$uPropLog$uOpl'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
( 'c$uin'(X0,'c$uPropLog$uOthms'('c$uemptyset',X1),'tc$uPropLog$uOpl'(X1))
| ~ 'c$uPropLog$uOsat'('c$uemptyset',X0,X1) ),
inference(clausification,[status(esa)],[cls_PropLog_Ocompleteness__0_0]) ).
cnf(d0,plain,
~ 'c$uPropLog$uOsat'('c$uemptyset','v$ux','t$ua'),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c0,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL432-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 22:32:33 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.10/2.78 % SZS status Unsatisfiable for theBenchmark.p
% 9.10/2.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------