%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL442-2 : 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 : n006.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 07:54:38 AM UTC 2026
% Result : Unsatisfiable 8.18s 2.03s
% Output : CNFRefutation 8.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 40 ( 5 unt; 7 nHn; 29 RR)
% Number of literals : 83 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 43 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( ~ 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua')
| 'c$uin'('v$upl1','c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ) ).
cnf(cls_conjecture_1,negated_conjecture,
( 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua')
| 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl1','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua')
| 'c$uin'('v$upl2','c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ) ).
cnf(cls_conjecture_3,negated_conjecture,
( 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua')
| 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl2','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl1','v$upl2','t$ua'),'c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua') ) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl1','v$upl2','t$ua'),'c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua') ) ).
cnf(cls_conjecture_9,negated_conjecture,
( ~ 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua')
| 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua')
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl1','v$upl2','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ) ).
cnf(cls_PropLog_Ofalse__imp_0,axiom,
( 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X3,X1),'c$uPropLog$uOthms'(X2,X1),'tc$uPropLog$uOpl'(X1))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,'c$uPropLog$uOpl$uOfalse',X1),'c$uPropLog$uOthms'(X2,X1),'tc$uPropLog$uOpl'(X1)) ) ).
cnf(cls_PropLog_Oimp__false_0,axiom,
( 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X3,X2),'c$uPropLog$uOpl$uOfalse',X2),'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X3,'c$uPropLog$uOpl$uOfalse',X2),'c$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__Un1_0,axiom,
( 'c$uin'(X0,'c$uPropLog$uOthms'('c$uunion'(X1,X3,'tc$uPropLog$uOpl'(X2)),X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2)) ) ).
cnf(cls_PropLog_Oweaken__left__Un2_0,axiom,
( 'c$uin'(X0,'c$uPropLog$uOthms'('c$uunion'(X3,X1,'tc$uPropLog$uOpl'(X2)),X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2)) ) ).
cnf(cls_PropLog_Oweaken__right_0,axiom,
( 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X3,X0,X2),'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2)) ) ).
cnf(c0,plain,
( ~ 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua')
| 'c$uin'('v$upl1','c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
( 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua')
| 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl1','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
( ~ 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua')
| 'c$uin'('v$upl2','c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
( 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua')
| 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl2','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c4,plain,
( ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl1','v$upl2','t$ua'),'c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua') ),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c5,plain,
( ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl1','v$upl2','t$ua'),'c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua') ),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c6,plain,
( ~ 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua')
| 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua')
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl1','v$upl2','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_9]) ).
cnf(c7,plain,
( 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X3,X1),'c$uPropLog$uOthms'(X2,X1),'tc$uPropLog$uOpl'(X1))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,'c$uPropLog$uOpl$uOfalse',X1),'c$uPropLog$uOthms'(X2,X1),'tc$uPropLog$uOpl'(X1)) ),
inference(clausification,[status(esa)],[cls_PropLog_Ofalse__imp_0]) ).
cnf(c8,plain,
( 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,X3,X2),'c$uPropLog$uOpl$uOfalse',X2),'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X3,'c$uPropLog$uOpl$uOfalse',X2),'c$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_Oimp__false_0]) ).
cnf(c9,plain,
( 'c$uin'(X0,'c$uPropLog$uOthms'('c$uunion'(X1,X3,'tc$uPropLog$uOpl'(X2)),X2),'tc$uPropLog$uOpl'(X2))
| ~ 'c$uin'(X0,'c$uPropLog$uOthms'(X1,X2),'tc$uPropLog$uOpl'(X2)) ),
inference(clausification,[status(esa)],[cls_PropLog_Oweaken__left__Un1_0]) ).
cnf(c10,plain,
( 'c$uin'(X0,'c$uPropLog$uOthms'('c$uunion'(X3,X1,'tc$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__Un2_0]) ).
cnf(c11,plain,
( 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X3,X0,X2),'c$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_Oweaken__right_0]) ).
cnf(d0,plain,
( 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua')
| ~ 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua')
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl2','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uin'('v$upl1','c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(resolution,[status(thm)],[c8,c6]) ).
cnf(d1,plain,
( 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua')
| ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl1','v$upl2','t$ua'),'c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(resolution,[status(thm)],[c9,c4]) ).
cnf(d2,plain,
( 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua')
| 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl1',X0,'t$ua'),'c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(resolution,[status(thm)],[c7,c1]) ).
cnf(d3,plain,
( 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua')
| 'c$uPropLog$uOeval'('v$utt','v$upl1','t$ua') ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl2','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uin'('v$upl1','c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua') ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl2','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uin'('v$upl1','c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua') ),
inference(resolution,[status(thm)],[d4,c10]) ).
cnf(d6,plain,
( ~ 'c$uin'('v$upl2','c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua') ),
inference(resolution,[status(thm)],[c5,c11]) ).
cnf(d7,plain,
( ~ 'c$uin'('v$upl2','c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua') ),
inference(resolution,[status(thm)],[d6,c10]) ).
cnf(d8,plain,
( ~ 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua')
| ~ 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua') ),
inference(resolution,[status(thm)],[d7,c2]) ).
cnf(d9,plain,
( ~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl2','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua'))
| ~ 'c$uin'('v$upl1','c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
( 'c$uPropLog$uOeval'('v$utt','v$upl2','t$ua')
| 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl2',X0,'t$ua'),'c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')) ),
inference(resolution,[status(thm)],[c7,c3]) ).
cnf(d11,plain,
'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upl2',X0,'t$ua'),'c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')),
inference(resolution,[status(thm)],[d8,d10]) ).
cnf(d12,plain,
~ 'c$uin'('v$upl1','c$uPropLog$uOthms'('c$uunion'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'c$uPropLog$uOhyps'('v$upl2','v$utt','t$ua'),'tc$uPropLog$uOpl'('t$ua')),'t$ua'),'tc$uPropLog$uOpl'('t$ua')),
inference(resolution,[status(thm)],[d11,d9]) ).
cnf(d13,plain,
~ 'c$uin'('v$upl1','c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')),
inference(resolution,[status(thm)],[d12,c9]) ).
cnf(d14,plain,
'c$uin'('v$upl1','c$uPropLog$uOthms'('c$uPropLog$uOhyps'('v$upl1','v$utt','t$ua'),'t$ua'),'tc$uPropLog$uOpl'('t$ua')),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[d14,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL442-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 22:33:57 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.18/2.03 % SZS status Unsatisfiable for theBenchmark.p
% 8.18/2.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------