%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET858-2 : 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 : n002.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 08:33:26 AM UTC 2026
% Result : Unsatisfiable 30.24s 4.41s
% Output : CNFRefutation 30.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 11
% Syntax : Number of clauses : 89 ( 17 unt; 66 nHn; 87 RR)
% Number of literals : 311 ( 36 equ; 110 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 117 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$um','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('v$un','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$ulessequals'('v$un','v$um','tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_conjecture_3,negated_conjecture,
~ 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua'))) ).
cnf(cls_Set_Osubset__trans_0,axiom,
( 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X3,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ) ).
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
'c$ulessequals'(X0,'c$uZorn$uOsucc'(X1,X0,X2),'tc$uset'('tc$uset'(X2))) ).
cnf(cls_Zorn_OTFin__linear__lemma1_0,axiom,
( 'c$ulessequals'('c$uZorn$uOsucc'(X1,X0,X2),X3,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'(X3,X0,'tc$uset'('tc$uset'(X2)))
| 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X1,X0,X2),'c$uZorn$uOTFin'(X1,X2),'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_Zorn_OTFin__linear__lemma1_1,axiom,
( 'c$ulessequals'('c$uZorn$uOsucc'(X1,X0,X2),X3,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X1,X0,X2),X0,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'(X3,X0,'tc$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$uset'(X2))) ) ).
cnf(cls_Zorn_OTFin__linear__lemma1_2,axiom,
( 'c$ulessequals'('c$uZorn$uOsucc'(X1,X0,X2),X3,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'(X3,X0,'tc$uset'('tc$uset'(X2)))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X1,X0,X2) != X0
| ~ 'c$uin'(X3,'c$uZorn$uOTFin'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'(X1,X2),'tc$uset'('tc$uset'(X2))) ) ).
cnf(cls_Zorn_OTFin__linear__lemma1_3,axiom,
( 'c$ulessequals'('c$uZorn$uOsucc'(X1,X0,X2),X3,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'(X3,X0,'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'('c$uZorn$uOsucc'(X1,'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X1,X0,X2),X2),X0,'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_Zorn_OTFin__linear__lemma2_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(c0,plain,
'c$uin'('v$um','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uin'('v$un','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
~ 'c$ulessequals'('v$un','v$um','tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
~ 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua'))),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c4,plain,
( 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$ulessequals'(X3,X0,'tc$uset'(X2))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'(X2)) ),
inference(clausification,[status(esa)],[cls_Set_Osubset__trans_0]) ).
cnf(c5,plain,
'c$ulessequals'(X0,'c$uZorn$uOsucc'(X1,X0,X2),'tc$uset'('tc$uset'(X2))),
inference(clausification,[status(esa)],[cls_Zorn_OAbrial__axiom1_0]) ).
cnf(c6,plain,
( ~ 'c$uin'(X1,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'(X3,X1,'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X3,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'('c$uZorn$uOsucc'(X0,X1,X2),X3,'tc$uset'('tc$uset'(X2)))
| 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X0,X1,X2),'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2))) ),
inference(clausification,[status(esa)],[cls_Zorn_OTFin__linear__lemma1_0]) ).
cnf(c7,plain,
( 'c$ulessequals'(X3,X1,'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X1,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X3,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'('c$uZorn$uOsucc'(X0,X1,X2),X3,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X0,X1,X2),X1,'tc$uset'('tc$uset'(X2))) ),
inference(clausification,[status(esa)],[cls_Zorn_OTFin__linear__lemma1_1]) ).
cnf(c8,plain,
( 'c$ulessequals'(X3,X1,'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X3,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X1,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X0,X1,X2) != X1
| 'c$ulessequals'('c$uZorn$uOsucc'(X0,X1,X2),X3,'tc$uset'('tc$uset'(X2))) ),
inference(clausification,[status(esa)],[cls_Zorn_OTFin__linear__lemma1_2]) ).
cnf(c9,plain,
( ~ 'c$uin'(X1,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'('c$uZorn$uOsucc'(X0,'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X0,X1,X2),X2),X1,'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X3,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'(X3,X1,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'('c$uZorn$uOsucc'(X0,X1,X2),X3,'tc$uset'('tc$uset'(X2))) ),
inference(clausification,[status(esa)],[cls_Zorn_OTFin__linear__lemma1_3]) ).
cnf(c10,plain,
( X0 = X1
| 'c$ulessequals'('c$uZorn$uOsucc'(X3,X0,X2),X1,'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'(X3,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X1,'c$uZorn$uOTFin'(X3,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'(X0,X1,'tc$uset'('tc$uset'(X2))) ),
inference(clausification,[status(esa)],[cls_Zorn_OTFin__linear__lemma2_0]) ).
cnf(d0,plain,
( 'c$ulessequals'(X1,X3,'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'('c$uZorn$uOsucc'(X0,X1,X2),X3,'tc$uset'('tc$uset'(X2))) ),
inference(resolution,[status(thm)],[c4,c5]) ).
cnf(d1,plain,
( 'c$ulessequals'(X3,X0,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X1,X3,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$uset'(X2))) ),
inference(resolution,[status(thm)],[c7,d0]) ).
cnf(d2,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS',X0,'t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( 'c$ulessequals'('c$uZorn$uOsucc'(X0,X1,X2),X3,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'(X3,X1,'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X3,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X1,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X0,X1,X2),X1,'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X0,X1,X2),'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$uin'(X1,'c$uZorn$uOTFin'(X0,X2),'tc$uset'('tc$uset'(X2)))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X0,X1,X2) = X1 ),
inference(resolution,[status(thm)],[c10,c9]) ).
cnf(d4,plain,
( 'c$ulessequals'(X0,X3,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'(X3,X0,'tc$uset'('tc$uset'(X2)))
| 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X1,X0,X2),'c$uZorn$uOTFin'(X1,X2),'tc$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$uset'(X2))) ),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d5,plain,
( 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
( 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
( ~ 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$um','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um'
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( ~ 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[c0,d7]) ).
cnf(d9,plain,
( 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$um','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
( 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[c0,d9]) ).
cnf(d11,plain,
( 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[d10,d0]) ).
cnf(d12,plain,
( 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
( 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$un','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d14,plain,
( 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[c2,d13]) ).
cnf(d15,plain,
'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(resolution,[status(thm)],[c3,d14]) ).
cnf(d16,plain,
( ~ 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$um','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[d15,d3]) ).
cnf(d17,plain,
( ~ 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[c0,d16]) ).
cnf(d18,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X1,X3,X2),X4,'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'(X3,X4,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'('c$uZorn$uOsucc'(X1,X3,X2),X0,'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$uset'(X2))) ),
inference(resolution,[status(thm)],[c7,c4]) ).
cnf(d19,plain,
( 'c$ulessequals'(X0,X3,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X1,X0,X2),X4,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'(X3,X0,'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'(X0,X4,'tc$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$uset'(X2))) ),
inference(resolution,[status(thm)],[d18,d0]) ).
cnf(d20,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),X1,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um',X1,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d19,c0]) ).
cnf(d21,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$un','v$um','tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d20,c1]) ).
cnf(d22,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[c2,d21]) ).
cnf(d23,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[c3,d22]) ).
cnf(d24,plain,
( 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um'
| ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d23,d17]) ).
cnf(d25,plain,
( 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[d24,d0]) ).
cnf(d26,plain,
( ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$un','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[d25,c1]) ).
cnf(d27,plain,
( 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[c2,d26]) ).
cnf(d28,plain,
( ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[c3,d27]) ).
cnf(d29,plain,
( 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um'
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[d28,d12]) ).
cnf(d30,plain,
( 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$um','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'v$um' != 'v$um' ),
inference(superposition,[status(thm)],[d29,c8]) ).
cnf(d31,plain,
( 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'v$um' != 'v$um' ),
inference(resolution,[status(thm)],[c0,d30]) ).
cnf(d32,plain,
( 'c$ulessequals'('v$un',X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d4,c1]) ).
cnf(d33,plain,
( 'c$ulessequals'('v$un','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d32,c0]) ).
cnf(d34,plain,
( 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[c2,d33]) ).
cnf(d35,plain,
'c$uin'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))),
inference(resolution,[status(thm)],[c3,d34]) ).
cnf(d36,plain,
( ~ 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$un','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$un','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua') = 'v$un' ),
inference(resolution,[status(thm)],[d35,d3]) ).
cnf(d37,plain,
( ~ 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$un','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua') = 'v$un' ),
inference(resolution,[status(thm)],[c1,d36]) ).
cnf(d38,plain,
( 'c$ulessequals'('c$uZorn$uOsucc'(X1,X3,X2),X4,'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'(X0,X4,'tc$uset'('tc$uset'(X2)))
| 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'(X1,X3,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$uset'(X2))) ),
inference(resolution,[status(thm)],[c7,c4]) ).
cnf(d39,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS',X0,'t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOsucc'('v$uS',X0,'t$ua'),X1,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um',X1,'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d38,c0]) ).
cnf(d40,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS',X0,'t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um',X1,'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d39,d0]) ).
cnf(d41,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$un',X0,'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d40,c1]) ).
cnf(d42,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$un',X0,'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[c3,d41]) ).
cnf(d43,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS',X0,'t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d15,d1]) ).
cnf(d44,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'('v$um','c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(factoring,[status(thm)],[d43]) ).
cnf(d45,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[c0,d44]) ).
cnf(d46,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua'))) ),
inference(demodulation,[status(thm)],[d45,d29]) ).
cnf(d47,plain,
( 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua'))) ),
inference(demodulation,[status(thm)],[d46,d29]) ).
cnf(d48,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$un','v$um','tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d47,d42]) ).
cnf(d49,plain,
'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'v$un','tc$uset'('tc$uset'('t$ua'))),
inference(resolution,[status(thm)],[c2,d48]) ).
cnf(d50,plain,
( 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$un','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua') = 'v$un' ),
inference(resolution,[status(thm)],[d49,d37]) ).
cnf(d51,plain,
( 'c$ulessequals'('v$un',X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua') = 'v$un' ),
inference(resolution,[status(thm)],[d50,d0]) ).
cnf(d52,plain,
( 'c$ulessequals'('v$un','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua') = 'v$un' ),
inference(resolution,[status(thm)],[d51,c0]) ).
cnf(d53,plain,
( 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua') = 'v$un' ),
inference(resolution,[status(thm)],[c2,d52]) ).
cnf(d54,plain,
'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua') = 'v$un',
inference(resolution,[status(thm)],[c3,d53]) ).
cnf(d55,plain,
( ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$um','t$ua') = 'v$um' ),
inference(resolution,[status(thm)],[d25,d35]) ).
cnf(d56,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'v$um' = 'v$um' ),
inference(demodulation,[status(thm)],[d55,d29]) ).
cnf(d57,plain,
( 'c$ulessequals'('c$uZorn$uOTFin$u$ulinear$u$ulemma1$u$u1'('v$uS','v$un','t$ua'),'v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'v$um' = 'v$um' ),
inference(demodulation,[status(thm)],[d56,d54]) ).
cnf(d58,plain,
( 'c$ulessequals'('v$un','v$um','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'v$um' = 'v$um' ),
inference(demodulation,[status(thm)],[d57,d54]) ).
cnf(d59,plain,
( 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'v$um' = 'v$um' ),
inference(resolution,[status(thm)],[c2,d58]) ).
cnf(d60,plain,
( ~ 'c$ulessequals'('v$um','v$um','tc$uset'('tc$uset'('t$ua')))
| 'v$um' = 'v$um' ),
inference(resolution,[status(thm)],[c3,d59]) ).
cnf(d61,plain,
'v$um' = 'v$um',
inference(resolution,[status(thm)],[d47,d60]) ).
cnf(d62,plain,
( 'c$ulessequals'('c$uZorn$uOsucc'('v$uS','v$um','t$ua'),X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d61,d31]) ).
cnf(d63,plain,
( 'c$ulessequals'('v$um',X0,'tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'(X0,'v$um','tc$uset'('tc$uset'('t$ua')))
| ~ 'c$uin'(X0,'c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d62,d0]) ).
cnf(d64,plain,
( 'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua')))
| 'c$ulessequals'('v$un','v$um','tc$uset'('tc$uset'('t$ua'))) ),
inference(resolution,[status(thm)],[d63,c1]) ).
cnf(d65,plain,
'c$ulessequals'('v$um','v$un','tc$uset'('tc$uset'('t$ua'))),
inference(resolution,[status(thm)],[c2,d64]) ).
cnf(d66,plain,
$false,
inference(resolution,[status(thm)],[c3,d65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET858-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 08:25:22 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.24/4.41 % SZS status Unsatisfiable for theBenchmark.p
% 30.24/4.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------