%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL441-2 : 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 : 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 07:54:37 AM UTC 2026
% Result : Unsatisfiable 9.68s 1.65s
% Output : CNFRefutation 9.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 15 ( 0 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
( ~ 'c$uin'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uPropLog$uOthms'('c$uinsert'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uemptyset','tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uinsert'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'c$uemptyset','tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
( 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,X1,'tc$uPropLog$uOpl'(X2)) ) ).
cnf(cls_Set_OinsertCI_1,axiom,
'c$uin'(X0,'c$uinsert'(X0,X1,X2),X2) ).
cnf(c0,plain,
( ~ 'c$uin'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uPropLog$uOthms'('c$uinsert'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uemptyset','tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uinsert'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'c$uemptyset','tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c1,plain,
( 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,X1,'tc$uPropLog$uOpl'(X2)) ),
inference(clausification,[status(esa)],[cls_PropLog_Othms_OH_0]) ).
cnf(c2,plain,
'c$uin'(X0,'c$uinsert'(X0,X1,X2),X2),
inference(clausification,[status(esa)],[cls_Set_OinsertCI_1]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uPropLog$uOthms'('c$uinsert'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uemptyset','tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'c$uinsert'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'c$uemptyset','tc$uPropLog$uOpl'('t$ua')),'tc$uPropLog$uOpl'('t$ua')) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
~ 'c$uin'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uPropLog$uOthms'('c$uinsert'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uemptyset','tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua')),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
~ 'c$uin'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uinsert'('c$uPropLog$uOpl$uOvar'('v$ua','t$ua'),'c$uemptyset','tc$uPropLog$uOpl'('t$ua')),'tc$uPropLog$uOpl'('t$ua')),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c2,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL441-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 22:38:45 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.68/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 9.68/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------