%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET841-2 : 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 : n018.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 08:33:22 AM UTC 2026
% Result : Unsatisfiable 9.55s 6.63s
% Output : CNFRefutation 9.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 16 unt; 2 nHn; 19 RR)
% Number of literals : 35 ( 8 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uset'(X1)) ).
cnf(cls_Zorn_OTFin__subsetD_0,axiom,
( X0 = X3
| 'c$ulessequals'('c$uZorn$uOsucc'(X1,X0,X2),X3,'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'(X0,X3,'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X3,'c$uZorn$uOTFin'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'(X1,X2),'tc$uset'('tc$uset'(X2))) ) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$um','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_1,negated_conjecture,
'v$um' = 'c$uZorn$uOsucc'('v$uS','v$um','t$ua') ).
cnf(cls_conjecture_2,negated_conjecture,
'c$uin'('v$ux','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_3,negated_conjecture,
'c$ulessequals'('v$ux','v$um','tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_4,negated_conjecture,
~ 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$ux','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua'))) ).
cnf(c0,plain,
'c$ulessequals'(X0,X0,'tc$uset'(X1)),
inference(clausification,[status(esa)],[cls_Set_Osubset__refl_0]) ).
cnf(c1,plain,
( ~ 'c$uin'(X1,'c$uZorn$uOTFin'(X3,X2),'tc$uset'('tc$uset'(X2)))
| X0 = X1
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'(X3,X2),'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'('c$uZorn$uOsucc'(X3,X0,X2),X1,'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$uset'(X2))) ),
inference(clausification,[status(esa)],[cls_Zorn_OTFin__subsetD_0]) ).
cnf(c2,plain,
'c$uin'('v$um','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c3,plain,
'v$um' = 'c$uZorn$uOsucc'('v$uS','v$um','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c4,plain,
'c$uin'('v$ux','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c5,plain,
'c$ulessequals'('v$ux','v$um','tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c6,plain,
~ 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$ux','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(d0,plain,
( ~ 'c$uin'('v$ux','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$um','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$ux','v$um','tc$uset'('tc$uset'('t$ua')))
| 'v$ux' = 'v$um' ),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d1,plain,
( ~ 'c$uin'('v$ux','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$ux','v$um','tc$uset'('tc$uset'('t$ua')))
| 'v$ux' = 'v$um' ),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
( ~ 'c$uin'('v$ux','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'v$ux' = 'v$um' ),
inference(resolution,[status(thm)],[c5,d1]) ).
cnf(d3,plain,
'v$ux' = 'v$um',
inference(resolution,[status(thm)],[c4,d2]) ).
cnf(d4,plain,
~ 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua'))),
inference(demodulation,[status(thm)],[c6,d3]) ).
cnf(d5,plain,
~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua'))),
inference(demodulation,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c0,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET841-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n018.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.38 % DateTime : Sat Sep 26 08:22:57 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.55/6.63 % SZS status Unsatisfiable for theBenchmark.p
% 9.55/6.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------