%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYO689-1 : TPTP v9.3.1. Released v7.3.0.
% 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 09:48:05 AM UTC 2026
% Result : Unsatisfiable 38.98s 5.64s
% Output : CNFRefutation 38.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 92
% Number of leaves : 22
% Syntax : Number of clauses : 150 ( 5 unt; 120 nHn; 128 RR)
% Number of literals : 1435 ( 0 equ; 897 neg)
% Maximal clause size : 17 ( 9 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 547 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1581,axiom,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ) ).
cnf(clause_1218,axiom,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(X0)) ) ).
cnf(clause_327,axiom,
( ~ '\'E\''(s('\'0\''),f(X3))
| ~ '\'E\''(s('\'0\''),f(X5))
| ~ '\'E\''(s('\'0\''),f(X2))
| ~ '\'E\''(s('\'0\''),f(suc(X4)))
| ~ '\'E\''(s('\'0\''),f(suc(X5)))
| ~ iLEQ(suc(X1),suc(X4))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X0),suc(X3))
| ~ '\'E\''(s('\'0\''),f(suc(X3)))
| ~ '\'E\''(s('\'0\''),f(X0))
| ~ '\'E\''(s('\'0\''),f(X4))
| ~ iLEQ(suc(X3),suc(X2))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(X1))
| ~ '\'E\''(s('\'0\''),f(suc(X0))) ) ).
cnf(clause_583,axiom,
'\'LE\''(f(X0),s(s(s(s(s('\'0\'')))))) ).
cnf(clause_740,axiom,
( '\'LE\''(f(X0),s('\'0\''))
| '\'E\''(s('\'0\''),f(X0))
| ~ '\'LE\''(f(X0),s(s('\'0\''))) ) ).
cnf(clause_388,axiom,
( '\'LE\''(f(X0),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(suc(X0)))
| ~ '\'LE\''(f(suc(X0)),s(s(s('\'0\'')))) ) ).
cnf(clause_657,axiom,
( ~ '\'E\''(s(s(s('\'0\''))),f(suc(X4)))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X3),suc(X2))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X4))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X5)))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X1),suc(X0))
| ~ '\'E\''(s(s(s('\'0\''))),f(X5))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X3)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X1))
| ~ iLEQ(suc(X4),suc(X3))
| ~ '\'E\''(s(s(s('\'0\''))),f(X3))
| ~ '\'E\''(s(s(s('\'0\''))),f(X2))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0)) ) ).
cnf(clause_328,axiom,
( '\'LE\''(f(X0),'\'0\'')
| '\'E\''('\'0\'',f(X0))
| ~ '\'LE\''(f(X0),s('\'0\'')) ) ).
cnf(clause_1314,axiom,
( '\'LE\''(f(X0),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X0))
| ~ '\'LE\''(f(X0),s(s(s('\'0\'')))) ) ).
cnf(clause_2293,axiom,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''('\'0\'',f(suc(X0)))
| ~ '\'E\''('\'0\'',f(X0)) ) ).
cnf(clause_1092,axiom,
~ '\'LE\''(f(z),'\'0\'') ).
cnf(clause_1230,axiom,
( '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(X0))
| ~ '\'LE\''(f(X0),s(s(s(s('\'0\''))))) ) ).
cnf(clause_421,axiom,
( ~ '\'E\''('\'0\'',f(X2))
| ~ iLEQ(suc(X4),suc(X0))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(suc(X4)))
| ~ '\'E\''('\'0\'',f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X0),suc(X5))
| ~ '\'E\''('\'0\'',f(X5))
| ~ '\'E\''('\'0\'',f(suc(X5)))
| ~ '\'E\''('\'0\'',f(suc(X3)))
| ~ '\'E\''('\'0\'',f(X4))
| ~ '\'E\''('\'0\'',f(X1))
| ~ '\'E\''('\'0\'',f(X3))
| ~ iLEQ(suc(X3),suc(X1))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ '\'E\''('\'0\'',f(X0)) ) ).
cnf(clause_1514,axiom,
( ~ '\'E\''(s(s(s(s('\'0\'')))),f(X2))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X3)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X5))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ iLEQ(suc(X5),suc(X1))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X5)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X4)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X4))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X3))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ) ).
cnf(clause_1329,axiom,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s('\'0\''),f(suc(X0)))
| ~ '\'E\''(s('\'0\''),f(X0)) ) ).
cnf(clause_1935,axiom,
( '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(suc(X0)))
| ~ '\'LE\''(f(suc(X0)),s(s(s(s('\'0\''))))) ) ).
cnf(clause_2115,axiom,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(X0))
| ~ '\'LE\''(f(X0),s(s(s(s(s('\'0\'')))))) ) ).
cnf(clause_2227,axiom,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0)) ) ).
cnf(clause_1440,axiom,
( '\'LE\''(f(X0),s('\'0\''))
| '\'E\''(s('\'0\''),f(suc(X0)))
| ~ '\'LE\''(f(suc(X0)),s(s('\'0\''))) ) ).
cnf(clause_2050,axiom,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0)))
| ~ '\'LE\''(f(suc(X0)),s(s(s(s(s('\'0\'')))))) ) ).
cnf(clause_1712,axiom,
( ~ iLEQ(suc(X2),suc(X5))
| ~ '\'E\''(s(s('\'0\'')),f(X4))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X5)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0)))
| ~ iLEQ(suc(X4),suc(X1))
| ~ '\'E\''(s(s('\'0\'')),f(X5))
| ~ iLEQ(suc(X3),suc(X0))
| ~ '\'E\''(s(s('\'0\'')),f(X1))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X4)))
| ~ iLEQ(suc(X1),suc(X3))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X3)))
| ~ '\'E\''(s(s('\'0\'')),f(X3))
| ~ '\'E\''(s(s('\'0\'')),f(X2))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(X0)) ) ).
cnf(clause_113,axiom,
( '\'LE\''(f(X0),'\'0\'')
| '\'E\''('\'0\'',f(suc(X0)))
| ~ '\'LE\''(f(suc(X0)),s('\'0\'')) ) ).
cnf(c0,plain,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0))) ),
inference(clausification,[status(esa)],[clause_1581]) ).
cnf(c1,plain,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s(s('\'0\'')),f(X0))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0))) ),
inference(clausification,[status(esa)],[clause_1218]) ).
cnf(c2,plain,
( ~ iLEQ(suc(X4),suc(X5))
| ~ '\'E\''(s('\'0\''),f(X5))
| ~ '\'E\''(s('\'0\''),f(suc(X5)))
| ~ '\'E\''(s('\'0\''),f(suc(X4)))
| ~ iLEQ(suc(X0),suc(X4))
| ~ '\'E\''(s('\'0\''),f(suc(X0)))
| ~ '\'E\''(s('\'0\''),f(X3))
| ~ iLEQ(suc(X5),suc(X3))
| ~ iLEQ(suc(X1),suc(X0))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(X4))
| ~ '\'E\''(s('\'0\''),f(suc(X3)))
| ~ '\'E\''(s('\'0\''),f(X1))
| ~ iLEQ(suc(X2),suc(X1))
| ~ '\'E\''(s('\'0\''),f(X2))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(X0)) ),
inference(clausification,[status(esa)],[clause_327]) ).
cnf(c3,plain,
'\'LE\''(f(X0),s(s(s(s(s('\'0\'')))))),
inference(clausification,[status(esa)],[clause_583]) ).
cnf(c4,plain,
( '\'LE\''(f(X0),s('\'0\''))
| ~ '\'LE\''(f(X0),s(s('\'0\'')))
| '\'E\''(s('\'0\''),f(X0)) ),
inference(clausification,[status(esa)],[clause_740]) ).
cnf(c5,plain,
( '\'LE\''(f(X0),s(s('\'0\'')))
| ~ '\'LE\''(f(suc(X0)),s(s(s('\'0\''))))
| '\'E\''(s(s('\'0\'')),f(suc(X0))) ),
inference(clausification,[status(esa)],[clause_388]) ).
cnf(c6,plain,
( ~ iLEQ(suc(X4),suc(X1))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X4)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X3)))
| ~ iLEQ(suc(X5),suc(X0))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X4))
| ~ '\'E\''(s(s(s('\'0\''))),f(X2))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X5)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X3))
| ~ '\'E\''(s(s(s('\'0\''))),f(X5))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X2),suc(X3))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ '\'E\''(s(s(s('\'0\''))),f(X1))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0)) ),
inference(clausification,[status(esa)],[clause_657]) ).
cnf(c7,plain,
( '\'LE\''(f(X0),'\'0\'')
| ~ '\'LE\''(f(X0),s('\'0\''))
| '\'E\''('\'0\'',f(X0)) ),
inference(clausification,[status(esa)],[clause_328]) ).
cnf(c8,plain,
( '\'LE\''(f(X0),s(s('\'0\'')))
| ~ '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'E\''(s(s('\'0\'')),f(X0)) ),
inference(clausification,[status(esa)],[clause_1314]) ).
cnf(c9,plain,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''('\'0\'',f(X0))
| ~ '\'E\''('\'0\'',f(suc(X0))) ),
inference(clausification,[status(esa)],[clause_2293]) ).
cnf(c10,plain,
~ '\'LE\''(f(z),'\'0\''),
inference(clausification,[status(esa)],[clause_1092]) ).
cnf(c11,plain,
( '\'LE\''(f(X0),s(s(s('\'0\''))))
| ~ '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s('\'0\''))),f(X0)) ),
inference(clausification,[status(esa)],[clause_1230]) ).
cnf(c12,plain,
( ~ '\'E\''('\'0\'',f(X3))
| ~ '\'E\''('\'0\'',f(suc(X5)))
| ~ iLEQ(suc(X2),suc(X5))
| ~ '\'E\''('\'0\'',f(suc(X4)))
| ~ iLEQ(suc(X4),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X3),suc(X4))
| ~ '\'E\''('\'0\'',f(X1))
| ~ '\'E\''('\'0\'',f(X5))
| ~ iLEQ(suc(X1),suc(X2))
| ~ '\'E\''('\'0\'',f(X4))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ '\'E\''('\'0\'',f(suc(X0)))
| ~ '\'E\''('\'0\'',f(suc(X3)))
| ~ '\'E\''('\'0\'',f(X2))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(X0)) ),
inference(clausification,[status(esa)],[clause_421]) ).
cnf(c13,plain,
( ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X5),suc(X4))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X3))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X4))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X5))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X5)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X4)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X4),suc(X3))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X3)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X2))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X1))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(clausification,[status(esa)],[clause_1514]) ).
cnf(c14,plain,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s('\'0\''),f(X0))
| ~ '\'E\''(s('\'0\''),f(suc(X0))) ),
inference(clausification,[status(esa)],[clause_1329]) ).
cnf(c15,plain,
( '\'LE\''(f(X0),s(s(s('\'0\''))))
| ~ '\'LE\''(f(suc(X0)),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s('\'0\''))),f(suc(X0))) ),
inference(clausification,[status(esa)],[clause_1935]) ).
cnf(c16,plain,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| ~ '\'LE\''(f(X0),s(s(s(s(s('\'0\''))))))
| '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(clausification,[status(esa)],[clause_2115]) ).
cnf(c17,plain,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0))) ),
inference(clausification,[status(esa)],[clause_2227]) ).
cnf(c18,plain,
( '\'LE\''(f(X0),s('\'0\''))
| ~ '\'LE\''(f(suc(X0)),s(s('\'0\'')))
| '\'E\''(s('\'0\''),f(suc(X0))) ),
inference(clausification,[status(esa)],[clause_1440]) ).
cnf(c19,plain,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| ~ '\'LE\''(f(suc(X0)),s(s(s(s(s('\'0\''))))))
| '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0))) ),
inference(clausification,[status(esa)],[clause_2050]) ).
cnf(c20,plain,
( ~ '\'E\''(s(s('\'0\'')),f(X1))
| ~ '\'E\''(s(s('\'0\'')),f(X5))
| ~ iLEQ(suc(X1),suc(X5))
| ~ iLEQ(suc(X2),suc(X1))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X5)))
| ~ iLEQ(suc(X3),suc(X0))
| ~ iLEQ(suc(X4),suc(X3))
| ~ '\'E\''(s(s('\'0\'')),f(X4))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X4)))
| ~ '\'E\''(s(s('\'0\'')),f(X3))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(X2))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(X0)) ),
inference(clausification,[status(esa)],[clause_1712]) ).
cnf(c21,plain,
( '\'LE\''(f(X0),'\'0\'')
| ~ '\'LE\''(f(suc(X0)),s('\'0\''))
| '\'E\''('\'0\'',f(suc(X0))) ),
inference(clausification,[status(esa)],[clause_113]) ).
cnf(d0,plain,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(resolution,[status(thm)],[c3,c16]) ).
cnf(d1,plain,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0)))
| '\'LE\''(f(X0),s(s(s(s('\'0\''))))) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0))) ),
inference(resolution,[status(thm)],[c3,c19]) ).
cnf(d3,plain,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| iLEQ(suc(X0),suc(X0))
| '\'LE\''(f(X0),s(s(s(s('\'0\''))))) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X4),suc(X0))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X5),suc(X3))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X4)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X3)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X5)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X4))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X3))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X2))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X1))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(resolution,[status(thm)],[c13,d0]) ).
cnf(d5,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X2),suc(X5))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X5),suc(X3))
| ~ iLEQ(suc(X4),suc(X0))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X3)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X5)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X4)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X3))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X2))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X1))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X3),suc(X5))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X5)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X4)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X3)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X2))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X1))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X3),suc(X5))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X5)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X4)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X3)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X1))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X5),suc(X2))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X1),suc(X0))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X5)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X4)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X3)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X0),suc(X3))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X5)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X4)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X3)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X5),suc(X4))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X4)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X3)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X5),suc(X2))
| ~ iLEQ(suc(X4),suc(X5))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X3)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d10,d2]) ).
cnf(d12,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X1),suc(X5))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X0))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X2)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X1),suc(X5))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X2),suc(X3))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X1)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d12,d2]) ).
cnf(d14,plain,
( '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X0),suc(X4))
| ~ iLEQ(suc(X2),suc(X5))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X1),suc(X2))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d13,d2]) ).
cnf(d15,plain,
( '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X5),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d14,d2]) ).
cnf(d16,plain,
( '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X4),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d15,d3]) ).
cnf(d17,plain,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X3),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d16,d3]) ).
cnf(d18,plain,
( '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X2),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d17,d3]) ).
cnf(d19,plain,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d18,d3]) ).
cnf(d20,plain,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'LE\''(f(X0),s(s(s(s('\'0\''))))) ),
inference(resolution,[status(thm)],[d19,d3]) ).
cnf(d21,plain,
( '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d20,c15]) ).
cnf(d22,plain,
( '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(X0)) ),
inference(resolution,[status(thm)],[d20,c11]) ).
cnf(d23,plain,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0)))
| '\'LE\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[d22,c17]) ).
cnf(d24,plain,
( '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| iLEQ(suc(X0),suc(X0)) ),
inference(resolution,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
( ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X3),suc(X5))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X0),suc(X2))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X5)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X4)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X3)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X5))
| ~ '\'E\''(s(s(s('\'0\''))),f(X4))
| ~ '\'E\''(s(s(s('\'0\''))),f(X3))
| ~ '\'E\''(s(s(s('\'0\''))),f(X2))
| ~ '\'E\''(s(s(s('\'0\''))),f(X1))
| '\'LE\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[d22,c6]) ).
cnf(d26,plain,
( '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X5),s(s(s('\'0\''))))
| ~ iLEQ(suc(X5),suc(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X4),suc(X0))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X5)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X3)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X4)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X3))
| ~ '\'E\''(s(s(s('\'0\''))),f(X2))
| ~ '\'E\''(s(s(s('\'0\''))),f(X1))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0)) ),
inference(resolution,[status(thm)],[d25,d22]) ).
cnf(d27,plain,
( '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| ~ iLEQ(suc(X2),suc(X5))
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X3),suc(X0))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X5)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X4)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X3)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X2))
| ~ '\'E\''(s(s(s('\'0\''))),f(X1))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0)) ),
inference(resolution,[status(thm)],[d26,d22]) ).
cnf(d28,plain,
( '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X5),suc(X2))
| ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X3),suc(X5))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X5)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X4)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X3)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X1))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0)) ),
inference(resolution,[status(thm)],[d27,d22]) ).
cnf(d29,plain,
( '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X2),suc(X5))
| ~ iLEQ(suc(X1),suc(X4))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X5)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X4)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X3)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0)) ),
inference(resolution,[status(thm)],[d28,d22]) ).
cnf(d30,plain,
( '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| ~ iLEQ(suc(X5),suc(X2))
| ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X3),suc(X0))
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X0),suc(X5))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X5)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X4)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X3)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d29,d22]) ).
cnf(d31,plain,
( '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X5),s(s(s('\'0\''))))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X5),suc(X2))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X4)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X3)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d30,d21]) ).
cnf(d32,plain,
( '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| ~ iLEQ(suc(X3),suc(X0))
| ~ iLEQ(suc(X2),suc(X5))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X1))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X3)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d31,d21]) ).
cnf(d33,plain,
( '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| ~ iLEQ(suc(X1),suc(X5))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X5),suc(X2))
| ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X3),suc(X4))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X2)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d32,d21]) ).
cnf(d34,plain,
( '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| ~ iLEQ(suc(X1),suc(X5))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X0))
| ~ iLEQ(suc(X2),suc(X3))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X1)))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d33,d21]) ).
cnf(d35,plain,
( '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X5),suc(X1))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X2))
| ~ '\'E\''(s(s(s('\'0\''))),f(suc(X0))) ),
inference(resolution,[status(thm)],[d34,d21]) ).
cnf(d36,plain,
( '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X5),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| ~ iLEQ(suc(X5),suc(X2))
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d35,d21]) ).
cnf(d37,plain,
( '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X4),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X0))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d36,d24]) ).
cnf(d38,plain,
( '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| '\'LE\''(f(X3),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d37,d24]) ).
cnf(d39,plain,
( '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X2),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d38,d24]) ).
cnf(d40,plain,
( '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d39,d24]) ).
cnf(d41,plain,
( '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\''))))
| '\'LE\''(f(X0),s(s(s('\'0\'')))) ),
inference(resolution,[status(thm)],[d40,d24]) ).
cnf(d42,plain,
( '\'LE\''(f(X0),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(suc(X0))) ),
inference(resolution,[status(thm)],[d41,c5]) ).
cnf(d43,plain,
( '\'LE\''(f(X0),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X0)) ),
inference(resolution,[status(thm)],[d41,c8]) ).
cnf(d44,plain,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0)))
| '\'LE\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d43,c1]) ).
cnf(d45,plain,
( '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| iLEQ(suc(X0),suc(X0)) ),
inference(resolution,[status(thm)],[d44,d42]) ).
cnf(d46,plain,
( ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(X3))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X5)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X4)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X3)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(X5))
| ~ '\'E\''(s(s('\'0\'')),f(X4))
| ~ '\'E\''(s(s('\'0\'')),f(X3))
| ~ '\'E\''(s(s('\'0\'')),f(X2))
| ~ '\'E\''(s(s('\'0\'')),f(X1))
| '\'LE\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d43,c20]) ).
cnf(d47,plain,
( '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X5),s(s('\'0\'')))
| ~ iLEQ(suc(X5),suc(X1))
| ~ iLEQ(suc(X3),suc(X5))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X4),suc(X0))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X5)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X3)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X4)))
| ~ '\'E\''(s(s('\'0\'')),f(X3))
| ~ '\'E\''(s(s('\'0\'')),f(X2))
| ~ '\'E\''(s(s('\'0\'')),f(X1))
| ~ '\'E\''(s(s('\'0\'')),f(X0)) ),
inference(resolution,[status(thm)],[d46,d43]) ).
cnf(d48,plain,
( '\'LE\''(f(X5),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X5),suc(X3))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X3),suc(X1))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X5)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X4)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X3)))
| ~ '\'E\''(s(s('\'0\'')),f(X2))
| ~ '\'E\''(s(s('\'0\'')),f(X1))
| ~ '\'E\''(s(s('\'0\'')),f(X0)) ),
inference(resolution,[status(thm)],[d47,d43]) ).
cnf(d49,plain,
( '\'LE\''(f(X5),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X5),suc(X1))
| ~ iLEQ(suc(X4),suc(X0))
| ~ iLEQ(suc(X3),suc(X5))
| ~ iLEQ(suc(X2),suc(X4))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X5)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X4)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X3)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(X1))
| ~ '\'E\''(s(s('\'0\'')),f(X0)) ),
inference(resolution,[status(thm)],[d48,d43]) ).
cnf(d50,plain,
( '\'LE\''(f(X5),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X5))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X5)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X4)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X3)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(X0)) ),
inference(resolution,[status(thm)],[d49,d43]) ).
cnf(d51,plain,
( '\'LE\''(f(X5),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| ~ iLEQ(suc(X4),suc(X0))
| ~ iLEQ(suc(X3),suc(X5))
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X0),suc(X1))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X5)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X4)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X3)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0))) ),
inference(resolution,[status(thm)],[d50,d43]) ).
cnf(d52,plain,
( '\'LE\''(f(X5),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X5),s(s('\'0\'')))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X5))
| ~ iLEQ(suc(X0),suc(X4))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X4)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X3)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0))) ),
inference(resolution,[status(thm)],[d51,d42]) ).
cnf(d53,plain,
( '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X5),s(s('\'0\'')))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X2),suc(X5))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X4),suc(X0))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X3)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0))) ),
inference(resolution,[status(thm)],[d52,d42]) ).
cnf(d54,plain,
( '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X5),s(s('\'0\'')))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X2)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0))) ),
inference(resolution,[status(thm)],[d53,d42]) ).
cnf(d55,plain,
( '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X5),s(s('\'0\'')))
| ~ iLEQ(suc(X1),suc(X5))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X2),suc(X3))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X1)))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0))) ),
inference(resolution,[status(thm)],[d54,d42]) ).
cnf(d56,plain,
( '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X5),s(s('\'0\'')))
| ~ iLEQ(suc(X0),suc(X4))
| ~ iLEQ(suc(X2),suc(X5))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X1),suc(X2))
| ~ '\'E\''(s(s('\'0\'')),f(suc(X0))) ),
inference(resolution,[status(thm)],[d55,d42]) ).
cnf(d57,plain,
( '\'LE\''(f(X5),s(s('\'0\'')))
| '\'LE\''(f(X5),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d56,d42]) ).
cnf(d58,plain,
( '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X4),s(s('\'0\'')))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d57,d45]) ).
cnf(d59,plain,
( '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X3),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d58,d45]) ).
cnf(d60,plain,
( '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X2),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d59,d45]) ).
cnf(d61,plain,
( '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d60,d45]) ).
cnf(d62,plain,
( '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\'')))
| '\'LE\''(f(X0),s(s('\'0\''))) ),
inference(resolution,[status(thm)],[d61,d45]) ).
cnf(d63,plain,
( '\'LE\''(f(X0),s('\'0\''))
| '\'E\''(s('\'0\''),f(suc(X0))) ),
inference(resolution,[status(thm)],[d62,c18]) ).
cnf(d64,plain,
( '\'LE\''(f(X0),s('\'0\''))
| '\'E\''(s('\'0\''),f(X0)) ),
inference(resolution,[status(thm)],[d62,c4]) ).
cnf(d65,plain,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''(s('\'0\''),f(suc(X0)))
| '\'LE\''(f(X0),s('\'0\'')) ),
inference(resolution,[status(thm)],[d64,c14]) ).
cnf(d66,plain,
( '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| iLEQ(suc(X0),suc(X0)) ),
inference(resolution,[status(thm)],[d65,d63]) ).
cnf(d67,plain,
( ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(X5))
| ~ '\'E\''(s('\'0\''),f(suc(X5)))
| ~ '\'E\''(s('\'0\''),f(suc(X4)))
| ~ '\'E\''(s('\'0\''),f(suc(X3)))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(suc(X0)))
| ~ '\'E\''(s('\'0\''),f(X5))
| ~ '\'E\''(s('\'0\''),f(X4))
| ~ '\'E\''(s('\'0\''),f(X3))
| ~ '\'E\''(s('\'0\''),f(X2))
| ~ '\'E\''(s('\'0\''),f(X1))
| '\'LE\''(f(X0),s('\'0\'')) ),
inference(resolution,[status(thm)],[d64,c2]) ).
cnf(d68,plain,
( '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X5),s('\'0\''))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X3),suc(X5))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ '\'E\''(s('\'0\''),f(suc(X5)))
| ~ '\'E\''(s('\'0\''),f(suc(X3)))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(suc(X0)))
| ~ '\'E\''(s('\'0\''),f(suc(X4)))
| ~ '\'E\''(s('\'0\''),f(X3))
| ~ '\'E\''(s('\'0\''),f(X2))
| ~ '\'E\''(s('\'0\''),f(X1))
| ~ '\'E\''(s('\'0\''),f(X0)) ),
inference(resolution,[status(thm)],[d67,d64]) ).
cnf(d69,plain,
( '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X5),suc(X3))
| ~ iLEQ(suc(X3),suc(X4))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(suc(X0)))
| ~ '\'E\''(s('\'0\''),f(suc(X5)))
| ~ '\'E\''(s('\'0\''),f(suc(X4)))
| ~ '\'E\''(s('\'0\''),f(suc(X3)))
| ~ '\'E\''(s('\'0\''),f(X2))
| ~ '\'E\''(s('\'0\''),f(X1))
| ~ '\'E\''(s('\'0\''),f(X0)) ),
inference(resolution,[status(thm)],[d68,d64]) ).
cnf(d70,plain,
( '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X2),suc(X4))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(suc(X0)))
| ~ '\'E\''(s('\'0\''),f(suc(X5)))
| ~ '\'E\''(s('\'0\''),f(suc(X4)))
| ~ '\'E\''(s('\'0\''),f(suc(X3)))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(X1))
| ~ '\'E\''(s('\'0\''),f(X0)) ),
inference(resolution,[status(thm)],[d69,d64]) ).
cnf(d71,plain,
( '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X1),suc(X0))
| ~ '\'E\''(s('\'0\''),f(suc(X0)))
| ~ '\'E\''(s('\'0\''),f(suc(X5)))
| ~ '\'E\''(s('\'0\''),f(suc(X4)))
| ~ '\'E\''(s('\'0\''),f(suc(X3)))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(X0)) ),
inference(resolution,[status(thm)],[d70,d64]) ).
cnf(d72,plain,
( '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X0),suc(X1))
| ~ '\'E\''(s('\'0\''),f(suc(X5)))
| ~ '\'E\''(s('\'0\''),f(suc(X4)))
| ~ '\'E\''(s('\'0\''),f(suc(X3)))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(suc(X0))) ),
inference(resolution,[status(thm)],[d71,d64]) ).
cnf(d73,plain,
( '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X5),s('\'0\''))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X5),suc(X4))
| ~ '\'E\''(s('\'0\''),f(suc(X4)))
| ~ '\'E\''(s('\'0\''),f(suc(X3)))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(suc(X0))) ),
inference(resolution,[status(thm)],[d72,d63]) ).
cnf(d74,plain,
( '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X4),suc(X5))
| ~ '\'E\''(s('\'0\''),f(suc(X3)))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(suc(X0))) ),
inference(resolution,[status(thm)],[d73,d63]) ).
cnf(d75,plain,
( '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ '\'E\''(s('\'0\''),f(suc(X2)))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(suc(X0))) ),
inference(resolution,[status(thm)],[d74,d63]) ).
cnf(d76,plain,
( '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X5),suc(X1))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X2),suc(X3))
| ~ '\'E\''(s('\'0\''),f(suc(X1)))
| ~ '\'E\''(s('\'0\''),f(suc(X0))) ),
inference(resolution,[status(thm)],[d75,d63]) ).
cnf(d77,plain,
( '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X1),suc(X2))
| ~ '\'E\''(s('\'0\''),f(suc(X0))) ),
inference(resolution,[status(thm)],[d76,d63]) ).
cnf(d78,plain,
( '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X5),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d77,d63]) ).
cnf(d79,plain,
( '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X4),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d78,d66]) ).
cnf(d80,plain,
( '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X3),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d79,d66]) ).
cnf(d81,plain,
( '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X2),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d80,d66]) ).
cnf(d82,plain,
( '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X1),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d81,d66]) ).
cnf(d83,plain,
( '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\''))
| '\'LE\''(f(X0),s('\'0\'')) ),
inference(resolution,[status(thm)],[d82,d66]) ).
cnf(d84,plain,
( '\'LE\''(f(X0),'\'0\'')
| '\'E\''('\'0\'',f(suc(X0))) ),
inference(resolution,[status(thm)],[d83,c21]) ).
cnf(d85,plain,
( '\'LE\''(f(X0),'\'0\'')
| '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[d83,c7]) ).
cnf(d86,plain,
( iLEQ(suc(X0),suc(X0))
| ~ '\'E\''('\'0\'',f(suc(X0)))
| '\'LE\''(f(X0),'\'0\'') ),
inference(resolution,[status(thm)],[d85,c9]) ).
cnf(d87,plain,
( '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| iLEQ(suc(X0),suc(X0)) ),
inference(resolution,[status(thm)],[d86,d84]) ).
cnf(d88,plain,
( ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X3),suc(X5))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X0),suc(X2))
| ~ '\'E\''('\'0\'',f(suc(X5)))
| ~ '\'E\''('\'0\'',f(suc(X4)))
| ~ '\'E\''('\'0\'',f(suc(X3)))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(suc(X0)))
| ~ '\'E\''('\'0\'',f(X5))
| ~ '\'E\''('\'0\'',f(X4))
| ~ '\'E\''('\'0\'',f(X3))
| ~ '\'E\''('\'0\'',f(X2))
| ~ '\'E\''('\'0\'',f(X1))
| '\'LE\''(f(X0),'\'0\'') ),
inference(resolution,[status(thm)],[d85,c12]) ).
cnf(d89,plain,
( '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X5),'\'0\'')
| ~ iLEQ(suc(X5),suc(X2))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X4),suc(X0))
| ~ '\'E\''('\'0\'',f(suc(X5)))
| ~ '\'E\''('\'0\'',f(suc(X3)))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(suc(X0)))
| ~ '\'E\''('\'0\'',f(suc(X4)))
| ~ '\'E\''('\'0\'',f(X3))
| ~ '\'E\''('\'0\'',f(X2))
| ~ '\'E\''('\'0\'',f(X1))
| ~ '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[d88,d85]) ).
cnf(d90,plain,
( '\'LE\''(f(X5),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X5),suc(X1))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X3),suc(X0))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(suc(X0)))
| ~ '\'E\''('\'0\'',f(suc(X5)))
| ~ '\'E\''('\'0\'',f(suc(X4)))
| ~ '\'E\''('\'0\'',f(suc(X3)))
| ~ '\'E\''('\'0\'',f(X2))
| ~ '\'E\''('\'0\'',f(X1))
| ~ '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[d89,d85]) ).
cnf(d91,plain,
( '\'LE\''(f(X5),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X3),suc(X5))
| ~ iLEQ(suc(X2),suc(X0))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(suc(X0)))
| ~ '\'E\''('\'0\'',f(suc(X5)))
| ~ '\'E\''('\'0\'',f(suc(X4)))
| ~ '\'E\''('\'0\'',f(suc(X3)))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ '\'E\''('\'0\'',f(X1))
| ~ '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[d90,d85]) ).
cnf(d92,plain,
( '\'LE\''(f(X5),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X0))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X2),suc(X5))
| ~ '\'E\''('\'0\'',f(suc(X0)))
| ~ '\'E\''('\'0\'',f(suc(X5)))
| ~ '\'E\''('\'0\'',f(suc(X4)))
| ~ '\'E\''('\'0\'',f(suc(X3)))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[d91,d85]) ).
cnf(d93,plain,
( '\'LE\''(f(X5),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| ~ iLEQ(suc(X5),suc(X2))
| ~ iLEQ(suc(X3),suc(X0))
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X1),suc(X5))
| ~ iLEQ(suc(X0),suc(X1))
| ~ '\'E\''('\'0\'',f(suc(X5)))
| ~ '\'E\''('\'0\'',f(suc(X4)))
| ~ '\'E\''('\'0\'',f(suc(X3)))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(suc(X0))) ),
inference(resolution,[status(thm)],[d92,d85]) ).
cnf(d94,plain,
( '\'LE\''(f(X5),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X5),'\'0\'')
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X5))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X5),suc(X2))
| ~ '\'E\''('\'0\'',f(suc(X4)))
| ~ '\'E\''('\'0\'',f(suc(X3)))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(suc(X0))) ),
inference(resolution,[status(thm)],[d93,d84]) ).
cnf(d95,plain,
( '\'LE\''(f(X5),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X5),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| ~ iLEQ(suc(X2),suc(X5))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X0),suc(X4))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X4),suc(X1))
| ~ '\'E\''('\'0\'',f(suc(X3)))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(suc(X0))) ),
inference(resolution,[status(thm)],[d94,d84]) ).
cnf(d96,plain,
( '\'LE\''(f(X5),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X5),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| ~ iLEQ(suc(X2),suc(X4))
| ~ iLEQ(suc(X1),suc(X5))
| ~ iLEQ(suc(X0),suc(X3))
| ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X3),suc(X2))
| ~ '\'E\''('\'0\'',f(suc(X2)))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(suc(X0))) ),
inference(resolution,[status(thm)],[d95,d84]) ).
cnf(d97,plain,
( '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X5),'\'0\'')
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X4),suc(X2))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X2),suc(X0))
| ~ '\'E\''('\'0\'',f(suc(X1)))
| ~ '\'E\''('\'0\'',f(suc(X0))) ),
inference(resolution,[status(thm)],[d96,d84]) ).
cnf(d98,plain,
( '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X5),'\'0\'')
| ~ iLEQ(suc(X0),suc(X5))
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X3),suc(X1))
| ~ iLEQ(suc(X1),suc(X2))
| ~ '\'E\''('\'0\'',f(suc(X0))) ),
inference(resolution,[status(thm)],[d97,d84]) ).
cnf(d99,plain,
( '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X5),'\'0\'')
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d98,d84]) ).
cnf(d100,plain,
( '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X4),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| ~ iLEQ(suc(X4),suc(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d99,d87]) ).
cnf(d101,plain,
( '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X3),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d100,d87]) ).
cnf(d102,plain,
( '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X2),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d101,d87]) ).
cnf(d103,plain,
( '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X1),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(resolution,[status(thm)],[d102,d87]) ).
cnf(d104,plain,
( '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X0),'\'0\'')
| '\'LE\''(f(X0),'\'0\'') ),
inference(resolution,[status(thm)],[d103,d87]) ).
cnf(d105,plain,
$false,
inference(resolution,[status(thm)],[d104,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO689-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 19:45:41 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.98/5.64 % SZS status Unsatisfiable for theBenchmark.p
% 38.98/5.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------