%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL433-2 : 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 : n011.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 12.03s 2.00s
% Output : CNFRefutation 12.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 9 unt; 0 nHn; 19 RR)
% Number of literals : 42 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 53 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
'c$uPropLog$uOsat'('c$uinsert'('v$ux','v$uF','tc$uPropLog$uOpl'('t$ua')),'v$uxa','t$ua') ).
cnf(cls_conjecture_3,negated_conjecture,
~ 'c$uin'('v$uxa','c$uPropLog$uOthms'('c$uinsert'('v$ux','v$uF','tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ 'c$uPropLog$uOsat'('v$uF',X0,'t$ua')
| 'c$uin'(X0,'c$uPropLog$uOthms'('v$uF','t$ua'),'tc$uPropLog$uOpl'('t$ua')) ) ).
cnf(cls_PropLog_Osat__imp_0,axiom,
( 'c$uPropLog$uOsat'(X1,'c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X3,X2),X2)
| ~ 'c$uPropLog$uOsat'('c$uinsert'(X0,X1,'tc$uPropLog$uOpl'(X2)),X3,X2) ) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
( 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,X1,'tc$uPropLog$uOpl'(X2)) ) ).
cnf(cls_PropLog_Othms_OMP_0,axiom,
( 'c$uin'(X3,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X3,X2),'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2)) ) ).
cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
( 'c$uin'(X0,'c$uPropLog$uOthms'('c$uinsert'(X3,X1,'tc$uPropLog$uOpl'(X2)),X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2)) ) ).
cnf(cls_Set_OinsertCI_1,axiom,
'c$uin'(X0,'c$uinsert'(X0,X1,X2),X2) ).
cnf(c0,plain,
'c$uPropLog$uOsat'('c$uinsert'('v$ux','v$uF','tc$uPropLog$uOpl'('t$ua')),'v$uxa','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c1,plain,
~ 'c$uin'('v$uxa','c$uPropLog$uOthms'('c$uinsert'('v$ux','v$uF','tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c2,plain,
( ~ 'c$uPropLog$uOsat'('v$uF',X0,'t$ua')
| 'c$uin'(X0,'c$uPropLog$uOthms'('v$uF','t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c3,plain,
( 'c$uPropLog$uOsat'(X1,'c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X3,X2),X2)
| ~ 'c$uPropLog$uOsat'('c$uinsert'(X0,X1,'tc$uPropLog$uOpl'(X2)),X3,X2) ),
inference(clausification,[status(esa)],[cls_PropLog_Osat__imp_0]) ).
cnf(c4,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(c5,plain,
( 'c$uin'(X3,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X3,X2),'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2)) ),
inference(clausification,[status(esa)],[cls_PropLog_Othms_OMP_0]) ).
cnf(c6,plain,
( 'c$uin'(X0,'c$uPropLog$uOthms'('c$uinsert'(X3,X1,'tc$uPropLog$uOpl'(X2)),X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2)) ),
inference(clausification,[status(esa)],[cls_PropLog_Oweaken__left__insert_0]) ).
cnf(c7,plain,
'c$uin'(X0,'c$uinsert'(X0,X1,X2),X2),
inference(clausification,[status(esa)],[cls_Set_OinsertCI_1]) ).
cnf(d0,plain,
( ~ 'c$uin'(X0,'c$uPropLog$uOthms'('c$uinsert'(X4,X3,'tc$uPropLog$uOpl'(X2)),X2),'tc$uPropLog$uOpl'(X2))
| 'c$uin'(X1,'c$uPropLog$uOthms'('c$uinsert'(X4,X3,'tc$uPropLog$uOpl'(X2)),X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X1,X2),'c$uPropLog$uOthms'(X3,X2),'tc$uPropLog$uOpl'(X2)) ),
inference(resolution,[status(thm)],[c6,c5]) ).
cnf(d1,plain,
( ~ 'c$uin'(X4,'c$uinsert'(X1,X2,'tc$uPropLog$uOpl'(X3)),'tc$uPropLog$uOpl'(X3))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X4,X0,X3),'c$uPropLog$uOthms'(X2,X3),'tc$uPropLog$uOpl'(X3))
| 'c$uin'(X0,'c$uPropLog$uOthms'('c$uinsert'(X1,X2,'tc$uPropLog$uOpl'(X3)),X3),'tc$uPropLog$uOpl'(X3)) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ 'c$uPropLog$uOsat'('v$uF','c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X2,'t$ua'),'t$ua')
| 'c$uin'(X2,'c$uPropLog$uOthms'('c$uinsert'(X1,'v$uF','tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uin'(X0,'c$uinsert'(X1,'v$uF','tc$uPropLog$uOpl'('t$ua')),'tc$uPropLog$uOpl'('t$ua')) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( 'c$uin'(X1,'c$uPropLog$uOthms'('c$uinsert'(X0,'v$uF','tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uPropLog$uOsat'('v$uF','c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X1,'t$ua'),'t$ua') ),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
~ 'c$uPropLog$uOsat'('v$uF','c$uPropLog$uOpl$uOop$uA$uN$u62'('v$ux','v$uxa','t$ua'),'t$ua'),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
'c$uPropLog$uOsat'('v$uF','c$uPropLog$uOpl$uOop$uA$uN$u62'('v$ux','v$uxa','t$ua'),'t$ua'),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL433-2 : 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 : n011.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 22:32:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.03/2.00 % SZS status Unsatisfiable for theBenchmark.p
% 12.03/2.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------