%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 09:46:48 AM UTC 2026
% Result : Unsatisfiable 13.87s 2.28s
% Output : CNFRefutation 13.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 16
% Syntax : Number of clauses : 175 ( 10 unt; 141 nHn; 96 RR)
% Number of literals : 810 ( 0 equ; 130 neg)
% Maximal clause size : 8 ( 4 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 229 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_8_01,axiom,
( '\'LE\''(f(X0),s(s(s(s(s('\'0\''))))))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ) ).
cnf(clause_13_02,axiom,
iLEQ(X0,g(X0)) ).
cnf(clause_18_04,axiom,
iLEQ(X0,X0) ).
cnf(clause_31_05,axiom,
~ '\'E\''(f(X0),f(g(X0))) ).
cnf(clause_1_06,axiom,
( '\'LE\''(f(X1),'\'0\'')
| '\'E\''('\'0\'',f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s('\'0\'')) ) ).
cnf(clause_6_07,axiom,
~ '\'LE\''(f(X0),'\'0\'') ).
cnf(clause_3_10,axiom,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s(s(s(s(s('\'0\''))))),f(g(X0)))
| ~ '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ) ).
cnf(clause_21_11,axiom,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(g(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0)) ) ).
cnf(clause_27_12,axiom,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(g(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(X0)) ) ).
cnf(clause_30_13,axiom,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s('\'0\''),f(g(X0)))
| ~ '\'E\''(s('\'0\''),f(X0)) ) ).
cnf(clause_16_15,axiom,
( '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s(s(s('\'0\'')))) ) ).
cnf(clause_7_16,axiom,
( '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s(s(s(s(s('\'0\'')))))) ) ).
cnf(clause_26_17,axiom,
( '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s(s(s(s('\'0\''))))) ) ).
cnf(clause_29_24,axiom,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''('\'0\'',f(g(X0)))
| ~ '\'E\''('\'0\'',f(X0)) ) ).
cnf(clause_12_30,axiom,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ) ).
cnf(clause_17_32,axiom,
( '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s(s('\'0\''))) ) ).
cnf(c0,plain,
( '\'LE\''(f(X0),s(s(s(s(s('\'0\''))))))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(clausification,[status(esa)],[clause_8_01]) ).
cnf(c1,plain,
iLEQ(X0,g(X0)),
inference(clausification,[status(esa)],[clause_13_02]) ).
cnf(c3,plain,
iLEQ(X0,X0),
inference(clausification,[status(esa)],[clause_18_04]) ).
cnf(c4,plain,
~ '\'E\''(f(X0),f(g(X0))),
inference(clausification,[status(esa)],[clause_31_05]) ).
cnf(c5,plain,
( '\'LE\''(f(X1),'\'0\'')
| '\'E\''('\'0\'',f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s('\'0\'')) ),
inference(clausification,[status(esa)],[clause_1_06]) ).
cnf(c6,plain,
~ '\'LE\''(f(X0),'\'0\''),
inference(clausification,[status(esa)],[clause_6_07]) ).
cnf(c9,plain,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s(s(s(s(s('\'0\''))))),f(g(X0)))
| ~ '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(clausification,[status(esa)],[clause_3_10]) ).
cnf(c10,plain,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(g(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0)) ),
inference(clausification,[status(esa)],[clause_21_11]) ).
cnf(c11,plain,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(g(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(X0)) ),
inference(clausification,[status(esa)],[clause_27_12]) ).
cnf(c12,plain,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s('\'0\''),f(g(X0)))
| ~ '\'E\''(s('\'0\''),f(X0)) ),
inference(clausification,[status(esa)],[clause_30_13]) ).
cnf(c14,plain,
( '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s(s(s('\'0\'')))) ),
inference(clausification,[status(esa)],[clause_16_15]) ).
cnf(c15,plain,
( '\'LE\''(f(X1),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s(s(s(s(s('\'0\'')))))) ),
inference(clausification,[status(esa)],[clause_7_16]) ).
cnf(c16,plain,
( '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s(s(s(s('\'0\''))))) ),
inference(clausification,[status(esa)],[clause_26_17]) ).
cnf(c23,plain,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''('\'0\'',f(g(X0)))
| ~ '\'E\''('\'0\'',f(X0)) ),
inference(clausification,[status(esa)],[clause_29_24]) ).
cnf(c29,plain,
( '\'E\''(f(X0),f(g(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(clausification,[status(esa)],[clause_12_30]) ).
cnf(c31,plain,
( '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| ~ iLEQ(X0,X1)
| ~ '\'LE\''(f(X0),s(s('\'0\''))) ),
inference(clausification,[status(esa)],[clause_17_32]) ).
cnf(d0,plain,
( ~ '\'E\''(s('\'0\''),f(g(X0)))
| ~ '\'E\''(s('\'0\''),f(X0)) ),
inference(resolution,[status(thm)],[c4,c12]) ).
cnf(d1,plain,
( ~ iLEQ(X1,X0)
| ~ '\'LE\''(f(X1),s('\'0\''))
| '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[c6,c5]) ).
cnf(d2,plain,
( ~ '\'E\''(s(s('\'0\'')),f(g(X0)))
| ~ '\'E\''(s(s('\'0\'')),f(X0)) ),
inference(resolution,[status(thm)],[c4,c11]) ).
cnf(d3,plain,
( ~ '\'E\''(s(s(s('\'0\''))),f(g(X0)))
| ~ '\'E\''(s(s(s('\'0\''))),f(X0)) ),
inference(resolution,[status(thm)],[c4,c10]) ).
cnf(d4,plain,
( ~ '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(resolution,[status(thm)],[c4,c29]) ).
cnf(d5,plain,
( ~ '\'E\''(s(s(s(s(s('\'0\''))))),f(g(X0)))
| ~ '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[c4,c9]) ).
cnf(d6,plain,
( '\'E\''(s(s(s(s(s('\'0\''))))),f(X1))
| ~ iLEQ(X1,X0)
| '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(X0)) ),
inference(resolution,[status(thm)],[c15,c0]) ).
cnf(d7,plain,
( '\'LE\''(f(X0),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(X0))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
( ~ '\'E\''(s(s(s(s(s('\'0\''))))),f(X0))
| '\'LE\''(f(g(X0)),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
( '\'LE\''(f(g(X0)),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d6,c1]) ).
cnf(d10,plain,
( ~ iLEQ(g(X0),X1)
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(X1))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d9,c16]) ).
cnf(d11,plain,
( '\'LE\''(f(g(X0)),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(g(X0)))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d10,c3]) ).
cnf(d12,plain,
( '\'LE\''(f(g(X0)),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'LE\''(f(g(X0)),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(g(X0)))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
( ~ iLEQ(g(X0),X1)
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(X1))
| '\'LE\''(f(g(X0)),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(g(X0)))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d12,c16]) ).
cnf(d14,plain,
( '\'LE\''(f(g(X0)),s(s(s('\'0\''))))
| '\'LE\''(f(g(X0)),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(g(X0)))
| '\'E\''(s(s(s('\'0\''))),f(g(X0)))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d13,c3]) ).
cnf(d15,plain,
( ~ '\'E\''(s(s(s(s('\'0\'')))),f(X0))
| '\'LE\''(f(g(X0)),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(g(X0))) ),
inference(resolution,[status(thm)],[d14,d4]) ).
cnf(d16,plain,
( '\'LE\''(f(g(g(X0))),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d10,c1]) ).
cnf(d17,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d16,c14]) ).
cnf(d18,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d17,c3]) ).
cnf(d19,plain,
( '\'LE\''(f(g(X0)),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d18,d8]) ).
cnf(d20,plain,
( ~ iLEQ(g(X0),X1)
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(X1))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d19,c16]) ).
cnf(d21,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'LE\''(f(g(g(X0))),s(s(s('\'0\''))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d20,c1]) ).
cnf(d22,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d21,c14]) ).
cnf(d23,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d22,c3]) ).
cnf(d24,plain,
( '\'LE\''(f(g(g(X0))),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d23,d15]) ).
cnf(d25,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d24,c14]) ).
cnf(d26,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d25,c3]) ).
cnf(d27,plain,
( ~ '\'E\''(s(s(s('\'0\''))),f(g(X0)))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d26,d3]) ).
cnf(d28,plain,
( '\'LE\''(f(g(g(g(X0)))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d17,c1]) ).
cnf(d29,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d28,c31]) ).
cnf(d30,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d29,c3]) ).
cnf(d31,plain,
( '\'LE\''(f(g(X0)),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d30,d8]) ).
cnf(d32,plain,
( ~ iLEQ(g(X0),X1)
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(X1))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d31,c16]) ).
cnf(d33,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'LE\''(f(g(g(X0))),s(s(s('\'0\''))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d32,c1]) ).
cnf(d34,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d33,c14]) ).
cnf(d35,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'LE\''(f(g(g(g(X0)))),s(s('\'0\'')))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d34,c1]) ).
cnf(d36,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d35,c31]) ).
cnf(d37,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d36,c3]) ).
cnf(d38,plain,
( '\'LE\''(f(g(g(X0))),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d37,d15]) ).
cnf(d39,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d38,c14]) ).
cnf(d40,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'LE\''(f(g(g(g(X0)))),s(s('\'0\'')))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d39,c1]) ).
cnf(d41,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d40,c31]) ).
cnf(d42,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d41,c3]) ).
cnf(d43,plain,
( '\'LE\''(f(g(g(g(X0)))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d42,d27]) ).
cnf(d44,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d43,c31]) ).
cnf(d45,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d44,c3]) ).
cnf(d46,plain,
( ~ '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d45,d2]) ).
cnf(d47,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'LE\''(f(g(g(g(g(X0))))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[d46,d45]) ).
cnf(d48,plain,
( ~ iLEQ(g(g(g(g(X0)))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d47,d1]) ).
cnf(d49,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d48,c1]) ).
cnf(d50,plain,
( '\'LE\''(f(g(g(g(g(X0))))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d29,c1]) ).
cnf(d51,plain,
( ~ iLEQ(g(g(g(g(X0)))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d50,d1]) ).
cnf(d52,plain,
( '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d51,c3]) ).
cnf(d53,plain,
( '\'LE\''(f(g(X0)),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d52,d8]) ).
cnf(d54,plain,
( ~ iLEQ(g(X0),X1)
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d53,c16]) ).
cnf(d55,plain,
( '\'LE\''(f(g(g(X0))),s(s(s('\'0\''))))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d54,c1]) ).
cnf(d56,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d55,c14]) ).
cnf(d57,plain,
( '\'LE\''(f(g(g(g(X0)))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d56,c1]) ).
cnf(d58,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d57,c31]) ).
cnf(d59,plain,
( '\'LE\''(f(g(g(g(g(X0))))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d58,c1]) ).
cnf(d60,plain,
( ~ iLEQ(g(g(g(g(X0)))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d59,d1]) ).
cnf(d61,plain,
( '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d60,c3]) ).
cnf(d62,plain,
( '\'LE\''(f(g(g(X0))),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d61,d15]) ).
cnf(d63,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d62,c14]) ).
cnf(d64,plain,
( '\'LE\''(f(g(g(g(X0)))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d63,c1]) ).
cnf(d65,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d64,c31]) ).
cnf(d66,plain,
( '\'LE\''(f(g(g(g(g(X0))))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d65,c1]) ).
cnf(d67,plain,
( ~ iLEQ(g(g(g(g(X0)))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d66,d1]) ).
cnf(d68,plain,
( '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d67,c3]) ).
cnf(d69,plain,
( '\'LE\''(f(g(g(g(X0)))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d68,d27]) ).
cnf(d70,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d69,c31]) ).
cnf(d71,plain,
( '\'LE\''(f(g(g(g(g(X0))))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d70,c1]) ).
cnf(d72,plain,
( ~ iLEQ(g(g(g(g(X0)))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d71,d1]) ).
cnf(d73,plain,
( '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d72,c3]) ).
cnf(d74,plain,
( '\'LE\''(f(g(g(g(g(X0))))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[d73,d46]) ).
cnf(d75,plain,
( ~ iLEQ(g(g(g(g(X0)))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[d74,d1]) ).
cnf(d76,plain,
( '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[d75,c3]) ).
cnf(d77,plain,
( ~ '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''('\'0\'',f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[d76,d0]) ).
cnf(d78,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[d77,d49]) ).
cnf(d79,plain,
( ~ '\'E\''('\'0\'',f(g(X0)))
| ~ '\'E\''('\'0\'',f(X0)) ),
inference(resolution,[status(thm)],[c4,c23]) ).
cnf(d80,plain,
( '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''(s(s(s(s(s('\'0\''))))),f(X0)) ),
inference(resolution,[status(thm)],[d51,c1]) ).
cnf(d81,plain,
( '\'LE\''(f(g(X0)),s(s(s(s('\'0\'')))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0)))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d80,d8]) ).
cnf(d82,plain,
( ~ iLEQ(g(X0),X1)
| '\'LE\''(f(X1),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d81,c16]) ).
cnf(d83,plain,
( '\'LE\''(f(g(g(X0))),s(s(s('\'0\''))))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d82,c1]) ).
cnf(d84,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d83,c14]) ).
cnf(d85,plain,
( '\'LE\''(f(g(g(g(X0)))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d84,c1]) ).
cnf(d86,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d85,c31]) ).
cnf(d87,plain,
( '\'LE\''(f(g(g(g(g(X0))))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d86,c1]) ).
cnf(d88,plain,
( ~ iLEQ(g(g(g(g(X0)))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d87,d1]) ).
cnf(d89,plain,
( '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''(s(s(s(s('\'0\'')))),f(g(X0))) ),
inference(resolution,[status(thm)],[d88,c1]) ).
cnf(d90,plain,
( '\'LE\''(f(g(g(X0))),s(s(s('\'0\''))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0))))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d89,d15]) ).
cnf(d91,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d90,c14]) ).
cnf(d92,plain,
( '\'LE\''(f(g(g(g(X0)))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d91,c1]) ).
cnf(d93,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d92,c31]) ).
cnf(d94,plain,
( '\'LE\''(f(g(g(g(g(X0))))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d93,c1]) ).
cnf(d95,plain,
( ~ iLEQ(g(g(g(g(X0)))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d94,d1]) ).
cnf(d96,plain,
( '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d95,c1]) ).
cnf(d97,plain,
( ~ '\'E\''(s(s(s('\'0\''))),f(g(X0)))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d96,d3]) ).
cnf(d98,plain,
( ~ '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| ~ '\'E\''(s(s(s('\'0\''))),f(g(X0))) ),
inference(resolution,[status(thm)],[d97,d2]) ).
cnf(d99,plain,
( '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| ~ '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| ~ '\'E\''(s(s(s('\'0\''))),f(g(X0))) ),
inference(resolution,[status(thm)],[d98,d77]) ).
cnf(d100,plain,
( ~ '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| ~ '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| ~ '\'E\''(s(s(s('\'0\''))),f(g(X0))) ),
inference(resolution,[status(thm)],[d99,d79]) ).
cnf(d101,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| ~ '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| ~ '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d100,d78]) ).
cnf(d102,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| ~ '\'E\''(s(s(s('\'0\''))),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d101,d45]) ).
cnf(d103,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d102,d26]) ).
cnf(d104,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d103,d1]) ).
cnf(d105,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d104,c3]) ).
cnf(d106,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d105,c31]) ).
cnf(d107,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d106,c1]) ).
cnf(d108,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d107,d1]) ).
cnf(d109,plain,
( '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d108,c3]) ).
cnf(d110,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d109,d46]) ).
cnf(d111,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d110,d1]) ).
cnf(d112,plain,
( '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d111,c3]) ).
cnf(d113,plain,
( ~ '\'E\''(s('\'0\''),f(g(g(X0))))
| '\'E\''('\'0\'',f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d112,d0]) ).
cnf(d114,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'LE\''(f(g(g(g(X0)))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d27,d26]) ).
cnf(d115,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d114,c31]) ).
cnf(d116,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'LE\''(f(g(g(g(g(X0))))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d115,c1]) ).
cnf(d117,plain,
( ~ iLEQ(g(g(g(g(X0)))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d116,d1]) ).
cnf(d118,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d117,c1]) ).
cnf(d119,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'LE\''(f(g(g(g(g(X0))))),s('\'0\''))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0)))))) ),
inference(resolution,[status(thm)],[d46,d118]) ).
cnf(d120,plain,
( ~ iLEQ(g(g(g(g(X0)))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d119,d1]) ).
cnf(d121,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s('\'0\''),f(g(g(g(g(X0))))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d120,c1]) ).
cnf(d122,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0)))))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''('\'0\'',f(g(g(g(g(g(X0))))))) ),
inference(resolution,[status(thm)],[d77,d121]) ).
cnf(d123,plain,
( ~ '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d122,d79]) ).
cnf(d124,plain,
( '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''('\'0\'',f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d112,d77]) ).
cnf(d125,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''(s(s('\'0\'')),f(g(g(X0))))
| '\'E\''('\'0\'',f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d124,d123]) ).
cnf(d126,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d125,c31]) ).
cnf(d127,plain,
( '\'LE\''(f(g(g(X0))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(X0))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d126,c3]) ).
cnf(d128,plain,
( '\'LE\''(f(g(g(X0))),s(s('\'0\'')))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d104,c1]) ).
cnf(d129,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'LE\''(f(X1),s('\'0\''))
| '\'E\''(s('\'0\''),f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d128,c31]) ).
cnf(d130,plain,
( '\'LE\''(f(g(g(g(X0)))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d129,c1]) ).
cnf(d131,plain,
( ~ iLEQ(g(g(g(X0))),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d130,d1]) ).
cnf(d132,plain,
( '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(X0)))))
| '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d131,c1]) ).
cnf(d133,plain,
( ~ '\'E\''(s(s('\'0\'')),f(g(X0)))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''(s('\'0\''),f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d132,d2]) ).
cnf(d134,plain,
( '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| '\'E\''('\'0\'',f(g(g(g(g(X0))))))
| ~ '\'E\''(s(s('\'0\'')),f(g(X0))) ),
inference(resolution,[status(thm)],[d133,d113]) ).
cnf(d135,plain,
( ~ '\'E\''('\'0\'',f(g(g(g(X0)))))
| ~ '\'E\''(s(s('\'0\'')),f(g(X0))) ),
inference(resolution,[status(thm)],[d134,d79]) ).
cnf(d136,plain,
( '\'E\''('\'0\'',f(g(g(g(X0)))))
| ~ '\'E\''(s(s('\'0\'')),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d135,d124]) ).
cnf(d137,plain,
( '\'LE\''(f(g(g(X0))),s('\'0\''))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(X0))))
| '\'E\''('\'0\'',f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d136,d127]) ).
cnf(d138,plain,
( ~ iLEQ(g(g(X0)),X1)
| '\'E\''('\'0\'',f(X1))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d137,d1]) ).
cnf(d139,plain,
( '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''(s('\'0\''),f(g(g(X0)))) ),
inference(resolution,[status(thm)],[d138,c1]) ).
cnf(d140,plain,
( '\'E\''('\'0\'',f(g(g(g(X0)))))
| '\'E\''('\'0\'',f(g(g(g(X0))))) ),
inference(resolution,[status(thm)],[d139,d113]) ).
cnf(d141,plain,
~ '\'E\''('\'0\'',f(g(g(X0)))),
inference(resolution,[status(thm)],[d140,d79]) ).
cnf(d142,plain,
$false,
inference(resolution,[status(thm)],[d141,d140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.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 19:40:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.87/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 13.87/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------