%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL437-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 07:54:36 AM UTC 2026
% Result : Unsatisfiable 9.02s 1.94s
% Output : CNFRefutation 9.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 0 equ; 5 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 : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 14 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$up','c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upa','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'v$upa','t$ua'),'t$ua'),'c$uPropLog$uOthms'('v$uH','t$ua'),'tc$uPropLog$uOpl'('t$ua')) ).
cnf(cls_PropLog_Othms_ODN_0,axiom,
'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,'c$uPropLog$uOpl$uOfalse',X1),'c$uPropLog$uOpl$uOfalse',X1),X0,X1),'c$uPropLog$uOthms'(X2,X1),'tc$uPropLog$uOpl'(X1)) ).
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$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$up','c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upa','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'v$upa','t$ua'),'t$ua'),'c$uPropLog$uOthms'('v$uH','t$ua'),'tc$uPropLog$uOpl'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'(X0,'c$uPropLog$uOpl$uOfalse',X1),'c$uPropLog$uOpl$uOfalse',X1),X0,X1),'c$uPropLog$uOthms'(X2,X1),'tc$uPropLog$uOpl'(X1)),
inference(clausification,[status(esa)],[cls_PropLog_Othms_ODN_0]) ).
cnf(c2,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$uin'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'('c$uPropLog$uOpl$uOop$uA$uN$u62'('v$upa','c$uPropLog$uOpl$uOfalse','t$ua'),'c$uPropLog$uOpl$uOfalse','t$ua'),'v$upa','t$ua'),'c$uPropLog$uOthms'('v$uH','t$ua'),'tc$uPropLog$uOpl'('t$ua')),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL437-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.78 % Computer : n010.cluster.edu
% 0.10/0.78 % Model : x86_64 x86_64
% 0.10/0.78 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.78 % Memory : 8046.5625MB
% 0.10/0.78 % OS : Linux 6.8.0-71-generic
% 0.10/0.78 % CPULimit : 300
% 0.10/0.78 % WCLimit : 300
% 0.10/0.78 % DateTime : Fri Sep 25 22:33:47 UTC 2026
% 0.10/0.78 % CPUTime :
% 0.10/0.78 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.02/1.94 % SZS status Unsatisfiable for theBenchmark.p
% 9.02/1.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------