Drodi-SAT---4.1.1.UNS-Ass.s

%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYO682-1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 : Thu Sep 24 03:44:46 PM UTC 2026

% Result   : Unsatisfiable 48.07s 6.72s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYO682-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.53  % Computer : n008.cluster.edu
% 0.12/0.53  % Model    : x86_64 x86_64
% 0.12/0.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.53  % Memory   : 8046.5625MB
% 0.12/0.53  % OS       : Linux 6.8.0-71-generic
% 0.12/0.53  % CPULimit : 300
% 0.12/0.53  % WCLimit  : 300
% 0.12/0.53  % DateTime : Mon Sep 21 12:09:39 UTC 2026
% 0.12/0.53  % CPUTime  : 
% 0.14/0.56  % Drodi V4.1.1
% 48.07/6.72  % Refutation found
% 48.07/6.72  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 48.07/6.72  % SZS output start CNFRefutation for theBenchmark
% 48.07/6.72  fof(f4,axiom,(
% 48.07/6.72    (![LE,B_149,E]: (( ~ 'LE'(f(suc(suc(B_149))),s('0'))| 'E'('0',f(suc(suc(B_149))))| 'LE'(f(B_149),'0') ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f7,axiom,(
% 48.07/6.72    (![E,B_140,B_138,B_139,A_3]: (( ~ 'E'(s('0'),f(suc(B_140)))| ~ 'E'(s('0'),f(B_140))| ~ 'E'(s('0'),f(suc(B_138)))| ~ 'E'(s('0'),f(B_138))| ~ 'E'(s('0'),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(A_3)))| ~ iLEQ(suc(B_139),suc(B_140))| ~ 'E'(f(B_138),f(suc(B_138)))| ~ 'E'(s('0'),f(suc(suc(B_140))))| ~ 'E'(f(B_140),f(suc(B_140)))| ~ 'E'(f(A_3),f(suc(A_3)))| ~ 'E'(f(B_139),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(suc(B_139))))| ~ 'E'(s('0'),f(B_139))| ~ iLEQ(suc(A_3),suc(B_138))| ~ 'E'(s('0'),f(A_3))| ~ 'E'(s('0'),f(suc(suc(B_138))))| ~ iLEQ(suc(B_138),suc(B_139))| ~ 'E'(s('0'),f(suc(suc(A_3)))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f8,axiom,(
% 48.07/6.72    (![E,A_1]: (( ~ 'E'(s(s(s('0'))),f(suc(suc(A_1))))| ~ 'E'(s(s(s('0'))),f(suc(A_1)))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ 'E'(s(s(s('0'))),f(A_1))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f9,axiom,(
% 48.07/6.72    (![A_2,B_113,E,B_114,B_115]: (( ~ iLEQ(suc(A_2),suc(B_113))| ~ 'E'(f(B_113),f(suc(B_113)))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(B_114),suc(B_115))| ~ 'E'(s(s('0')),f(suc(suc(B_113))))| ~ 'E'(s(s('0')),f(B_115))| ~ 'E'(s(s('0')),f(suc(B_114)))| ~ 'E'(s(s('0')),f(suc(suc(B_115))))| ~ 'E'(s(s('0')),f(B_114))| ~ 'E'(s(s('0')),f(B_113))| ~ iLEQ(suc(B_113),suc(B_114))| ~ 'E'(s(s('0')),f(suc(B_115)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(B_113)))| ~ 'E'(f(B_115),f(suc(B_115)))| 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_114),f(suc(B_114))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f10,axiom,(
% 48.07/6.72    (![E,A_4]: (( ~ 'E'('0',f(suc(suc(A_4))))| ~ 'E'('0',f(suc(A_4)))| ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'('0',f(A_4))| iLEQ(suc(A_4),suc(A_4)) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f11,axiom,(
% 48.07/6.72    (![LE,B_68,E]: (( ~ 'LE'(f(suc(suc(B_68))),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(suc(suc(B_68))))| 'LE'(f(B_68),s(s(s('0')))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f13,axiom,(
% 48.07/6.72    (![LE,B_137,E]: (( ~ 'LE'(f(suc(B_137)),s(s('0')))| 'E'(s('0'),f(suc(B_137)))| 'LE'(f(B_137),s('0')) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f17,axiom,(
% 48.07/6.72    (![E,B_140,B_138,B_139,A_3]: (( ~ 'E'(s('0'),f(suc(B_140)))| ~ 'E'(s('0'),f(B_140))| ~ 'E'(s('0'),f(suc(B_138)))| ~ 'E'(s('0'),f(B_138))| ~ 'E'(s('0'),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(A_3)))| ~ iLEQ(suc(B_139),suc(B_140))| ~ 'E'(f(B_138),f(suc(B_138)))| ~ 'E'(f(A_3),f(suc(A_3)))| ~ 'E'(f(B_139),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(suc(B_139))))| ~ 'E'(s('0'),f(B_139))| ~ iLEQ(suc(A_3),suc(B_138))| ~ 'E'(s('0'),f(A_3))| ~ 'E'(s('0'),f(suc(suc(B_138))))| ~ iLEQ(suc(B_138),suc(B_139))| ~ 'E'(s('0'),f(suc(suc(A_3))))| 'E'(f(B_140),f(suc(B_140))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f22,axiom,(
% 48.07/6.72    (![LE,B_137,E]: (( ~ 'LE'(f(B_137),s(s('0')))| 'E'(s('0'),f(B_137))| 'LE'(f(B_137),s('0')) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f23,axiom,(
% 48.07/6.72    (![LE,A]: ('LE'(f(A),s(s(s(s('0'))))) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f26,axiom,(
% 48.07/6.72    (![E,B_140,B_138,B_139,A_3]: (( ~ 'E'(s('0'),f(suc(B_140)))| ~ 'E'(s('0'),f(B_140))| ~ 'E'(s('0'),f(suc(B_138)))| ~ 'E'(s('0'),f(B_138))| ~ 'E'(s('0'),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(A_3)))| ~ iLEQ(suc(B_139),suc(B_140))| ~ 'E'(f(B_138),f(suc(B_138)))| ~ 'E'(s('0'),f(suc(suc(B_140))))| ~ 'E'(f(B_140),f(suc(B_140)))| ~ 'E'(f(B_139),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(suc(B_139))))| ~ 'E'(s('0'),f(B_139))| ~ iLEQ(suc(A_3),suc(B_138))| ~ 'E'(s('0'),f(A_3))| ~ 'E'(s('0'),f(suc(suc(B_138))))| ~ iLEQ(suc(B_138),suc(B_139))| 'E'(f(A_3),f(suc(A_3))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f27,axiom,(
% 48.07/6.72    (![E,A_2]: (( ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(A_2)))| 'E'(f(A_2),f(suc(A_2)))| iLEQ(suc(A_2),suc(A_2)) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f28,axiom,(
% 48.07/6.72    (![LE,B_137,E]: (( ~ 'LE'(f(suc(suc(B_137))),s(s('0')))| 'E'(s('0'),f(suc(suc(B_137))))| 'LE'(f(B_137),s('0')) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f36,axiom,(
% 48.07/6.72    (![E,B_140,B_138,B_139,A_3]: (( ~ 'E'(s('0'),f(suc(B_140)))| ~ 'E'(s('0'),f(B_140))| ~ 'E'(s('0'),f(suc(B_138)))| ~ 'E'(s('0'),f(B_138))| ~ 'E'(s('0'),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(A_3)))| ~ iLEQ(suc(B_139),suc(B_140))| ~ 'E'(f(B_139),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(suc(B_139))))| ~ 'E'(s('0'),f(B_139))| ~ iLEQ(suc(A_3),suc(B_138))| ~ 'E'(s('0'),f(A_3))| ~ iLEQ(suc(B_138),suc(B_139))| 'E'(f(A_3),f(suc(A_3)))| 'E'(f(B_138),f(suc(B_138)))| 'E'(f(B_140),f(suc(B_140))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f38,axiom,(
% 48.07/6.72    (![E,B_69,B_70,B_71,A_1]: (( ~ 'E'(s(s(s('0'))),f(B_69))| ~ 'E'(s(s(s('0'))),f(suc(B_70)))| ~ 'E'(s(s(s('0'))),f(suc(B_71)))| ~ 'E'(s(s(s('0'))),f(B_70))| ~ 'E'(s(s(s('0'))),f(suc(B_69)))| ~ iLEQ(suc(B_70),suc(B_71))| ~ 'E'(f(B_69),f(suc(B_69)))| ~ iLEQ(suc(B_69),suc(B_70))| ~ 'E'(s(s(s('0'))),f(A_1))| ~ 'E'(f(B_70),f(suc(B_70)))| ~ 'E'(s(s(s('0'))),f(suc(suc(A_1))))| ~ 'E'(s(s(s('0'))),f(suc(suc(B_69))))| ~ 'E'(s(s(s('0'))),f(suc(suc(B_70))))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ iLEQ(suc(A_1),suc(B_69))| ~ 'E'(s(s(s('0'))),f(B_71))| ~ 'E'(s(s(s('0'))),f(suc(A_1)))| 'E'(f(B_71),f(suc(B_71))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f40,axiom,(
% 48.07/6.72    (![E,A_3]: (( ~ 'E'(s('0'),f(suc(suc(A_3))))| ~ 'E'(s('0'),f(suc(A_3)))| ~ 'E'(f(A_3),f(suc(A_3)))| ~ 'E'(s('0'),f(A_3))| iLEQ(suc(A_3),suc(A_3)) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f41,axiom,(
% 48.07/6.72    (![A_2,B_113,E,B_114,B_115]: (( ~ iLEQ(suc(A_2),suc(B_113))| ~ 'E'(f(B_113),f(suc(B_113)))| ~ 'E'(s(s('0')),f(suc(suc(B_114))))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(B_114),suc(B_115))| ~ 'E'(s(s('0')),f(suc(suc(B_113))))| ~ 'E'(s(s('0')),f(B_115))| ~ 'E'(s(s('0')),f(suc(B_114)))| ~ 'E'(s(s('0')),f(suc(suc(B_115))))| ~ 'E'(s(s('0')),f(B_114))| ~ 'E'(s(s('0')),f(B_113))| ~ iLEQ(suc(B_113),suc(B_114))| ~ 'E'(s(s('0')),f(suc(B_115)))| ~ 'E'(f(B_114),f(suc(B_114)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(B_113)))| ~ 'E'(f(B_115),f(suc(B_115)))| 'E'(f(A_2),f(suc(A_2))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f43,axiom,(
% 48.07/6.72    (![LE,B_149,E]: (( ~ 'LE'(f(B_149),s('0'))| 'E'('0',f(B_149))| 'LE'(f(B_149),'0') ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f44,axiom,(
% 48.07/6.72    (![E,B_71,B_69,B_70,A_1]: (( ~ 'E'(s(s(s('0'))),f(suc(suc(B_71))))| ~ 'E'(s(s(s('0'))),f(B_69))| ~ 'E'(s(s(s('0'))),f(suc(B_70)))| ~ 'E'(s(s(s('0'))),f(suc(B_71)))| ~ 'E'(s(s(s('0'))),f(B_70))| ~ 'E'(s(s(s('0'))),f(suc(B_69)))| ~ iLEQ(suc(B_70),suc(B_71))| ~ 'E'(f(B_69),f(suc(B_69)))| ~ iLEQ(suc(B_69),suc(B_70))| ~ 'E'(s(s(s('0'))),f(A_1))| ~ 'E'(f(B_70),f(suc(B_70)))| ~ 'E'(s(s(s('0'))),f(suc(suc(A_1))))| ~ 'E'(s(s(s('0'))),f(suc(suc(B_69))))| ~ 'E'(s(s(s('0'))),f(suc(suc(B_70))))| ~ 'E'(f(A_1),f(suc(A_1)))| ~ iLEQ(suc(A_1),suc(B_69))| ~ 'E'(f(B_71),f(suc(B_71)))| ~ 'E'(s(s(s('0'))),f(B_71))| ~ 'E'(s(s(s('0'))),f(suc(A_1))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f46,axiom,(
% 48.07/6.72    (![E,A_4]: (( ~ 'E'('0',f(A_4))| ~ 'E'('0',f(suc(A_4)))| 'E'(f(A_4),f(suc(A_4)))| iLEQ(suc(A_4),suc(A_4)) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f47,axiom,(
% 48.07/6.72    (![A_2,B_113,E,B_114,B_115]: (( ~ iLEQ(suc(A_2),suc(B_113))| ~ 'E'(f(B_113),f(suc(B_113)))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(B_114),suc(B_115))| ~ 'E'(s(s('0')),f(suc(suc(B_113))))| ~ 'E'(s(s('0')),f(B_115))| ~ 'E'(s(s('0')),f(suc(B_114)))| ~ 'E'(s(s('0')),f(B_114))| ~ 'E'(s(s('0')),f(B_113))| ~ iLEQ(suc(B_113),suc(B_114))| ~ 'E'(s(s('0')),f(suc(B_115)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(B_113)))| 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_114),f(suc(B_114)))| 'E'(f(B_115),f(suc(B_115))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f48,axiom,(
% 48.07/6.72    (![LE,B_68,E]: (( ~ 'LE'(f(B_68),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(B_68))| 'LE'(f(B_68),s(s(s('0')))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f49,axiom,(
% 48.07/6.72    (![E,B_152,B_151,A_4,B_150]: (( ~ 'E'('0',f(B_152))| ~ 'E'('0',f(B_151))| ~ iLEQ(suc(B_151),suc(B_152))| ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'('0',f(suc(suc(B_150))))| ~ 'E'(f(B_150),f(suc(B_150)))| ~ 'E'('0',f(suc(B_150)))| ~ 'E'('0',f(suc(suc(B_152))))| ~ 'E'('0',f(B_150))| ~ 'E'('0',f(suc(suc(B_151))))| ~ 'E'('0',f(suc(suc(A_4))))| ~ 'E'('0',f(suc(B_152)))| ~ iLEQ(suc(B_150),suc(B_151))| ~ 'E'('0',f(suc(A_4)))| ~ 'E'(f(B_151),f(suc(B_151)))| ~ iLEQ(suc(A_4),suc(B_150))| ~ 'E'(f(B_152),f(suc(B_152)))| ~ 'E'('0',f(A_4))| ~ 'E'('0',f(suc(B_151))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f50,axiom,(
% 48.07/6.72    (![A_2,B_113,E,B_114,B_115]: (( ~ iLEQ(suc(A_2),suc(B_113))| ~ 'E'(s(s('0')),f(suc(suc(B_114))))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(B_114),suc(B_115))| ~ 'E'(s(s('0')),f(B_115))| ~ 'E'(s(s('0')),f(suc(B_114)))| ~ 'E'(s(s('0')),f(suc(suc(B_115))))| ~ 'E'(s(s('0')),f(B_114))| ~ 'E'(s(s('0')),f(B_113))| ~ iLEQ(suc(B_113),suc(B_114))| ~ 'E'(s(s('0')),f(suc(B_115)))| ~ 'E'(f(B_114),f(suc(B_114)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(B_113)))| ~ 'E'(f(B_115),f(suc(B_115)))| 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_113),f(suc(B_113))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f51,axiom,(
% 48.07/6.72    (![A_2,B_113,E,B_114,B_115]: (( ~ iLEQ(suc(A_2),suc(B_113))| ~ 'E'(s(s('0')),f(suc(suc(B_114))))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(B_114),suc(B_115))| ~ 'E'(s(s('0')),f(B_115))| ~ 'E'(s(s('0')),f(suc(B_114)))| ~ 'E'(s(s('0')),f(B_114))| ~ 'E'(s(s('0')),f(B_113))| ~ iLEQ(suc(B_113),suc(B_114))| ~ 'E'(s(s('0')),f(suc(B_115)))| ~ 'E'(s(s('0')),f(suc(suc(A_2))))| ~ 'E'(f(B_114),f(suc(B_114)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(B_113)))| ~ 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_113),f(suc(B_113)))| 'E'(f(B_115),f(suc(B_115))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f52,axiom,(
% 48.07/6.72    (![E,A_3]: (( ~ 'E'(s('0'),f(A_3))| ~ 'E'(s('0'),f(suc(A_3)))| 'E'(f(A_3),f(suc(A_3)))| iLEQ(suc(A_3),suc(A_3)) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f53,axiom,(
% 48.07/6.72    (![LE]: (~ 'LE'(f(z),'0') ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f56,axiom,(
% 48.07/6.72    (![A_2,B_113,E,B_114,B_115]: (( ~ iLEQ(suc(A_2),suc(B_113))| ~ 'E'(s(s('0')),f(suc(suc(B_114))))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(B_114),suc(B_115))| ~ 'E'(s(s('0')),f(B_115))| ~ 'E'(s(s('0')),f(suc(B_114)))| ~ 'E'(s(s('0')),f(B_114))| ~ 'E'(s(s('0')),f(B_113))| ~ iLEQ(suc(B_113),suc(B_114))| ~ 'E'(s(s('0')),f(suc(B_115)))| ~ 'E'(f(B_114),f(suc(B_114)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(B_113)))| 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_113),f(suc(B_113)))| 'E'(f(B_115),f(suc(B_115))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f60,axiom,(
% 48.07/6.72    (![LE,B_112,E]: (( ~ 'LE'(f(B_112),s(s(s('0'))))| 'E'(s(s('0')),f(B_112))| 'LE'(f(B_112),s(s('0'))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f62,axiom,(
% 48.07/6.72    (![E,B_152,B_151,A_4,B_150]: (( ~ 'E'('0',f(B_152))| ~ 'E'('0',f(B_151))| ~ iLEQ(suc(B_151),suc(B_152))| ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'('0',f(suc(B_150)))| ~ 'E'('0',f(B_150))| ~ 'E'('0',f(suc(suc(A_4))))| ~ 'E'('0',f(suc(B_152)))| ~ iLEQ(suc(B_150),suc(B_151))| ~ 'E'('0',f(suc(A_4)))| ~ iLEQ(suc(A_4),suc(B_150))| ~ 'E'('0',f(A_4))| ~ 'E'('0',f(suc(B_151)))| 'E'(f(B_150),f(suc(B_150)))| 'E'(f(B_151),f(suc(B_151)))| 'E'(f(B_152),f(suc(B_152))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f66,axiom,(
% 48.07/6.72    (![A_2,B_113,E,B_114,B_115]: (( ~ iLEQ(suc(A_2),suc(B_113))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(B_114),suc(B_115))| ~ 'E'(s(s('0')),f(B_115))| ~ 'E'(s(s('0')),f(suc(B_114)))| ~ 'E'(s(s('0')),f(suc(suc(B_115))))| ~ 'E'(s(s('0')),f(B_114))| ~ 'E'(s(s('0')),f(B_113))| ~ iLEQ(suc(B_113),suc(B_114))| ~ 'E'(s(s('0')),f(suc(B_115)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(B_113)))| ~ 'E'(f(B_115),f(suc(B_115)))| 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_113),f(suc(B_113)))| 'E'(f(B_114),f(suc(B_114))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f67,axiom,(
% 48.07/6.72    (![E,B_69,B_70,B_71,A_1]: (( ~ 'E'(s(s(s('0'))),f(B_69))| ~ 'E'(s(s(s('0'))),f(suc(B_70)))| ~ 'E'(s(s(s('0'))),f(suc(B_71)))| ~ 'E'(s(s(s('0'))),f(B_70))| ~ 'E'(s(s(s('0'))),f(suc(B_69)))| ~ iLEQ(suc(B_70),suc(B_71))| ~ iLEQ(suc(B_69),suc(B_70))| ~ 'E'(s(s(s('0'))),f(A_1))| ~ iLEQ(suc(A_1),suc(B_69))| ~ 'E'(s(s(s('0'))),f(B_71))| ~ 'E'(s(s(s('0'))),f(suc(A_1)))| 'E'(f(A_1),f(suc(A_1)))| 'E'(f(B_69),f(suc(B_69)))| 'E'(f(B_70),f(suc(B_70)))| 'E'(f(B_71),f(suc(B_71))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f68,axiom,(
% 48.07/6.72    (![LE,B_112,E]: (( ~ 'LE'(f(suc(suc(B_112))),s(s(s('0'))))| 'E'(s(s('0')),f(suc(suc(B_112))))| 'LE'(f(B_112),s(s('0'))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f69,axiom,(
% 48.07/6.72    (![A_2,B_113,E,B_114,B_115]: (( ~ iLEQ(suc(A_2),suc(B_113))| ~ 'E'(s(s('0')),f(suc(suc(B_114))))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(B_114),suc(B_115))| ~ 'E'(s(s('0')),f(B_115))| ~ 'E'(s(s('0')),f(suc(B_114)))| ~ 'E'(s(s('0')),f(suc(suc(B_115))))| ~ 'E'(s(s('0')),f(B_114))| ~ 'E'(s(s('0')),f(B_113))| ~ iLEQ(suc(B_113),suc(B_114))| ~ 'E'(s(s('0')),f(suc(B_115)))| ~ 'E'(s(s('0')),f(suc(suc(A_2))))| ~ 'E'(f(B_114),f(suc(B_114)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(B_113)))| ~ 'E'(f(A_2),f(suc(A_2)))| ~ 'E'(f(B_115),f(suc(B_115)))| 'E'(f(B_113),f(suc(B_113))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f70,axiom,(
% 48.07/6.72    (![LE,B_68,E]: (( ~ 'LE'(f(suc(B_68)),s(s(s(s('0')))))| 'E'(s(s(s('0'))),f(suc(B_68)))| 'LE'(f(B_68),s(s(s('0')))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f71,axiom,(
% 48.07/6.72    (![A_2,B_113,E,B_114,B_115]: (( ~ iLEQ(suc(A_2),suc(B_113))| ~ 'E'(f(B_113),f(suc(B_113)))| ~ 'E'(s(s('0')),f(suc(suc(B_114))))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(B_114),suc(B_115))| ~ 'E'(s(s('0')),f(suc(suc(B_113))))| ~ 'E'(s(s('0')),f(B_115))| ~ 'E'(s(s('0')),f(suc(B_114)))| ~ 'E'(s(s('0')),f(suc(suc(B_115))))| ~ 'E'(s(s('0')),f(B_114))| ~ 'E'(s(s('0')),f(B_113))| ~ iLEQ(suc(B_113),suc(B_114))| ~ 'E'(s(s('0')),f(suc(B_115)))| ~ 'E'(s(s('0')),f(suc(suc(A_2))))| ~ 'E'(f(B_114),f(suc(B_114)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(B_113)))| ~ 'E'(f(A_2),f(suc(A_2)))| ~ 'E'(f(B_115),f(suc(B_115))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f73,axiom,(
% 48.07/6.72    (![A_2,B_113,E,B_114,B_115]: (( ~ iLEQ(suc(A_2),suc(B_113))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ iLEQ(suc(B_114),suc(B_115))| ~ 'E'(s(s('0')),f(B_115))| ~ 'E'(s(s('0')),f(suc(B_114)))| ~ 'E'(s(s('0')),f(B_114))| ~ 'E'(s(s('0')),f(B_113))| ~ iLEQ(suc(B_113),suc(B_114))| ~ 'E'(s(s('0')),f(suc(B_115)))| ~ 'E'(s(s('0')),f(A_2))| ~ 'E'(s(s('0')),f(suc(B_113)))| 'E'(f(A_2),f(suc(A_2)))| 'E'(f(B_113),f(suc(B_113)))| 'E'(f(B_114),f(suc(B_114)))| 'E'(f(B_115),f(suc(B_115))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f74,axiom,(
% 48.07/6.72    (![E,B_140,B_138,B_139,A_3]: (( ~ 'E'(s('0'),f(suc(B_140)))| ~ 'E'(s('0'),f(B_140))| ~ 'E'(s('0'),f(suc(B_138)))| ~ 'E'(s('0'),f(B_138))| ~ 'E'(s('0'),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(A_3)))| ~ iLEQ(suc(B_139),suc(B_140))| ~ 'E'(f(B_138),f(suc(B_138)))| ~ 'E'(f(B_139),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(suc(B_139))))| ~ 'E'(s('0'),f(B_139))| ~ iLEQ(suc(A_3),suc(B_138))| ~ 'E'(s('0'),f(A_3))| ~ 'E'(s('0'),f(suc(suc(B_138))))| ~ iLEQ(suc(B_138),suc(B_139))| 'E'(f(A_3),f(suc(A_3)))| 'E'(f(B_140),f(suc(B_140))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f75,axiom,(
% 48.07/6.72    (![E,B_140,B_138,B_139,A_3]: (( ~ 'E'(s('0'),f(suc(B_140)))| ~ 'E'(s('0'),f(B_140))| ~ 'E'(s('0'),f(suc(B_138)))| ~ 'E'(s('0'),f(B_138))| ~ 'E'(s('0'),f(suc(B_139)))| ~ 'E'(s('0'),f(suc(A_3)))| ~ iLEQ(suc(B_139),suc(B_140))| ~ 'E'(s('0'),f(B_139))| ~ iLEQ(suc(A_3),suc(B_138))| ~ 'E'(s('0'),f(A_3))| ~ iLEQ(suc(B_138),suc(B_139))| 'E'(f(A_3),f(suc(A_3)))| 'E'(f(B_138),f(suc(B_138)))| 'E'(f(B_139),f(suc(B_139)))| 'E'(f(B_140),f(suc(B_140))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f76,axiom,(
% 48.07/6.72    (![LE,B_149,E]: (( ~ 'LE'(f(suc(B_149)),s('0'))| 'E'('0',f(suc(B_149)))| 'LE'(f(B_149),'0') ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f78,axiom,(
% 48.07/6.72    (![E,B_152,B_151,A_4,B_150]: (( ~ 'E'('0',f(B_152))| ~ 'E'('0',f(B_151))| ~ iLEQ(suc(B_151),suc(B_152))| ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'('0',f(suc(B_150)))| ~ 'E'('0',f(suc(suc(B_152))))| ~ 'E'('0',f(B_150))| ~ 'E'('0',f(suc(suc(A_4))))| ~ 'E'('0',f(suc(B_152)))| ~ iLEQ(suc(B_150),suc(B_151))| ~ 'E'('0',f(suc(A_4)))| ~ iLEQ(suc(A_4),suc(B_150))| ~ 'E'(f(B_152),f(suc(B_152)))| ~ 'E'('0',f(A_4))| ~ 'E'('0',f(suc(B_151)))| 'E'(f(B_150),f(suc(B_150)))| 'E'(f(B_151),f(suc(B_151))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f79,axiom,(
% 48.07/6.72    (![E,A_2]: (( ~ 'E'(s(s('0')),f(suc(suc(A_2))))| ~ 'E'(s(s('0')),f(suc(A_2)))| ~ 'E'(f(A_2),f(suc(A_2)))| ~ 'E'(s(s('0')),f(A_2))| iLEQ(suc(A_2),suc(A_2)) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f80,axiom,(
% 48.07/6.72    (![E,B_152,B_151,B_150,A_4]: (( ~ 'E'('0',f(B_152))| ~ 'E'('0',f(B_151))| ~ iLEQ(suc(B_151),suc(B_152))| ~ 'E'('0',f(suc(B_150)))| ~ 'E'('0',f(B_150))| ~ 'E'('0',f(suc(B_152)))| ~ iLEQ(suc(B_150),suc(B_151))| ~ 'E'('0',f(suc(A_4)))| ~ iLEQ(suc(A_4),suc(B_150))| ~ 'E'('0',f(A_4))| ~ 'E'('0',f(suc(B_151)))| 'E'(f(A_4),f(suc(A_4)))| 'E'(f(B_150),f(suc(B_150)))| 'E'(f(B_151),f(suc(B_151)))| 'E'(f(B_152),f(suc(B_152))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f82,axiom,(
% 48.07/6.72    (![E,B_152,B_151,A_4,B_150]: (( ~ 'E'('0',f(B_152))| ~ 'E'('0',f(B_151))| ~ iLEQ(suc(B_151),suc(B_152))| ~ 'E'(f(A_4),f(suc(A_4)))| ~ 'E'('0',f(suc(B_150)))| ~ 'E'('0',f(suc(suc(B_152))))| ~ 'E'('0',f(B_150))| ~ 'E'('0',f(suc(suc(B_151))))| ~ 'E'('0',f(suc(suc(A_4))))| ~ 'E'('0',f(suc(B_152)))| ~ iLEQ(suc(B_150),suc(B_151))| ~ 'E'('0',f(suc(A_4)))| ~ 'E'(f(B_151),f(suc(B_151)))| ~ iLEQ(suc(A_4),suc(B_150))| ~ 'E'(f(B_152),f(suc(B_152)))| ~ 'E'('0',f(A_4))| ~ 'E'('0',f(suc(B_151)))| 'E'(f(B_150),f(suc(B_150))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f83,axiom,(
% 48.07/6.72    (![LE,B_112,E]: (( ~ 'LE'(f(suc(B_112)),s(s(s('0'))))| 'E'(s(s('0')),f(suc(B_112)))| 'LE'(f(B_112),s(s('0'))) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f86,axiom,(
% 48.07/6.72    (![E,A_1]: (( ~ 'E'(s(s(s('0'))),f(A_1))| ~ 'E'(s(s(s('0'))),f(suc(A_1)))| 'E'(f(A_1),f(suc(A_1)))| iLEQ(suc(A_1),suc(A_1)) ) ))),
% 48.07/6.72    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 48.07/6.72  fof(f93,plain,(
% 48.07/6.72    ![B_149]: ((~'LE'(f(suc(suc(B_149))),s('0'))|'E'('0',f(suc(suc(B_149)))))|'LE'(f(B_149),'0'))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f4])).
% 48.07/6.72  fof(f94,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s('0'))|'E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f93])).
% 48.07/6.72  fof(f99,plain,(
% 48.07/6.72    ![A_3]: ((![B_138,B_139]: (((((((((![B_140]: (((((((((~'E'(s('0'),f(suc(B_140)))|~'E'(s('0'),f(B_140)))|~'E'(s('0'),f(suc(B_138))))|~'E'(s('0'),f(B_138)))|~'E'(s('0'),f(suc(B_139))))|~'E'(s('0'),f(suc(A_3))))|~iLEQ(suc(B_139),suc(B_140)))|~'E'(f(B_138),f(suc(B_138))))|~'E'(s('0'),f(suc(suc(B_140)))))|~'E'(f(B_140),f(suc(B_140)))))|~'E'(f(A_3),f(suc(A_3))))|~'E'(f(B_139),f(suc(B_139))))|~'E'(s('0'),f(suc(suc(B_139)))))|~'E'(s('0'),f(B_139)))|~iLEQ(suc(A_3),suc(B_138)))|~'E'(s('0'),f(A_3)))|~'E'(s('0'),f(suc(suc(B_138)))))|~iLEQ(suc(B_138),suc(B_139))))|~'E'(s('0'),f(suc(suc(A_3)))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f7])).
% 48.07/6.72  fof(f100,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(f(X0),f(suc(X0)))|~'E'(f(X3),f(suc(X3)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(suc(suc(X3)))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f99])).
% 48.07/6.72  fof(f101,plain,(
% 48.07/6.72    ![A_1]: ((((~'E'(s(s(s('0'))),f(suc(suc(A_1))))|~'E'(s(s(s('0'))),f(suc(A_1))))|~'E'(f(A_1),f(suc(A_1))))|~'E'(s(s(s('0'))),f(A_1)))|iLEQ(suc(A_1),suc(A_1)))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f8])).
% 48.07/6.72  fof(f102,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f101])).
% 48.07/6.72  fof(f103,plain,(
% 48.07/6.72    ![B_114]: ((![A_2]: ((![B_115]: ((![B_113]: (((((((((((((~iLEQ(suc(A_2),suc(B_113))|~'E'(f(B_113),f(suc(B_113))))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(B_114),suc(B_115)))|~'E'(s(s('0')),f(suc(suc(B_113)))))|~'E'(s(s('0')),f(B_115)))|~'E'(s(s('0')),f(suc(B_114))))|~'E'(s(s('0')),f(suc(suc(B_115)))))|~'E'(s(s('0')),f(B_114)))|~'E'(s(s('0')),f(B_113)))|~iLEQ(suc(B_113),suc(B_114)))|~'E'(s(s('0')),f(suc(B_115))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(B_113)))))|~'E'(f(B_115),f(suc(B_115)))))|'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_114),f(suc(B_114))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f9])).
% 48.07/6.72  fof(f104,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X3),f(suc(X3)))|'E'(f(X0),f(suc(X0)))|'E'(f(X2),f(suc(X2))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f103])).
% 48.07/6.72  fof(f105,plain,(
% 48.07/6.72    ![A_4]: ((((~'E'('0',f(suc(suc(A_4))))|~'E'('0',f(suc(A_4))))|~'E'(f(A_4),f(suc(A_4))))|~'E'('0',f(A_4)))|iLEQ(suc(A_4),suc(A_4)))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f10])).
% 48.07/6.72  fof(f106,plain,(
% 48.07/6.72    ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f105])).
% 48.07/6.72  fof(f107,plain,(
% 48.07/6.72    ![B_68]: ((~'LE'(f(suc(suc(B_68))),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(suc(B_68)))))|'LE'(f(B_68),s(s(s('0')))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f11])).
% 48.07/6.72  fof(f108,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(suc(X0))))|'LE'(f(X0),s(s(s('0')))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f107])).
% 48.07/6.72  fof(f111,plain,(
% 48.07/6.72    ![B_137]: ((~'LE'(f(suc(B_137)),s(s('0')))|'E'(s('0'),f(suc(B_137))))|'LE'(f(B_137),s('0')))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f13])).
% 48.07/6.72  fof(f112,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s('0')))|'E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f111])).
% 48.07/6.72  fof(f119,plain,(
% 48.07/6.72    ![B_140]: ((![A_3]: ((![B_138,B_139]: (((((((((((((((~'E'(s('0'),f(suc(B_140)))|~'E'(s('0'),f(B_140)))|~'E'(s('0'),f(suc(B_138))))|~'E'(s('0'),f(B_138)))|~'E'(s('0'),f(suc(B_139))))|~'E'(s('0'),f(suc(A_3))))|~iLEQ(suc(B_139),suc(B_140)))|~'E'(f(B_138),f(suc(B_138))))|~'E'(f(A_3),f(suc(A_3))))|~'E'(f(B_139),f(suc(B_139))))|~'E'(s('0'),f(suc(suc(B_139)))))|~'E'(s('0'),f(B_139)))|~iLEQ(suc(A_3),suc(B_138)))|~'E'(s('0'),f(A_3)))|~'E'(s('0'),f(suc(suc(B_138)))))|~iLEQ(suc(B_138),suc(B_139))))|~'E'(s('0'),f(suc(suc(A_3))))))|'E'(f(B_140),f(suc(B_140))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f17])).
% 48.07/6.72  fof(f120,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(f(X3),f(suc(X3)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(suc(suc(X3))))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f119])).
% 48.07/6.72  fof(f129,plain,(
% 48.07/6.72    ![B_137]: ((~'LE'(f(B_137),s(s('0')))|'E'(s('0'),f(B_137)))|'LE'(f(B_137),s('0')))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f22])).
% 48.07/6.72  fof(f130,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(X0),s(s('0')))|'E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f129])).
% 48.07/6.72  fof(f131,plain,(
% 48.07/6.72    ![A]: 'LE'(f(A),s(s(s(s('0')))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f23])).
% 48.07/6.72  fof(f132,plain,(
% 48.07/6.72    ![LE,X0]: ('LE'(f(X0),s(s(s(s('0'))))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f131])).
% 48.07/6.72  fof(f137,plain,(
% 48.07/6.72    ![A_3]: ((![B_138,B_139]: ((((((((![B_140]: (((((((((~'E'(s('0'),f(suc(B_140)))|~'E'(s('0'),f(B_140)))|~'E'(s('0'),f(suc(B_138))))|~'E'(s('0'),f(B_138)))|~'E'(s('0'),f(suc(B_139))))|~'E'(s('0'),f(suc(A_3))))|~iLEQ(suc(B_139),suc(B_140)))|~'E'(f(B_138),f(suc(B_138))))|~'E'(s('0'),f(suc(suc(B_140)))))|~'E'(f(B_140),f(suc(B_140)))))|~'E'(f(B_139),f(suc(B_139))))|~'E'(s('0'),f(suc(suc(B_139)))))|~'E'(s('0'),f(B_139)))|~iLEQ(suc(A_3),suc(B_138)))|~'E'(s('0'),f(A_3)))|~'E'(s('0'),f(suc(suc(B_138)))))|~iLEQ(suc(B_138),suc(B_139))))|'E'(f(A_3),f(suc(A_3))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f26])).
% 48.07/6.72  fof(f138,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(f(X0),f(suc(X0)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f137])).
% 48.07/6.72  fof(f139,plain,(
% 48.07/6.72    ![A_2]: (((~'E'(s(s('0')),f(A_2))|~'E'(s(s('0')),f(suc(A_2))))|'E'(f(A_2),f(suc(A_2))))|iLEQ(suc(A_2),suc(A_2)))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f27])).
% 48.07/6.72  fof(f140,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f139])).
% 48.07/6.72  fof(f141,plain,(
% 48.07/6.72    ![B_137]: ((~'LE'(f(suc(suc(B_137))),s(s('0')))|'E'(s('0'),f(suc(suc(B_137)))))|'LE'(f(B_137),s('0')))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f28])).
% 48.07/6.72  fof(f142,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s(s('0')))|'E'(s('0'),f(suc(suc(X0))))|'LE'(f(X0),s('0')))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f141])).
% 48.07/6.72  fof(f157,plain,(
% 48.07/6.72    ![B_140]: ((![B_138]: ((![A_3]: ((![B_139]: ((((((((((((~'E'(s('0'),f(suc(B_140)))|~'E'(s('0'),f(B_140)))|~'E'(s('0'),f(suc(B_138))))|~'E'(s('0'),f(B_138)))|~'E'(s('0'),f(suc(B_139))))|~'E'(s('0'),f(suc(A_3))))|~iLEQ(suc(B_139),suc(B_140)))|~'E'(f(B_139),f(suc(B_139))))|~'E'(s('0'),f(suc(suc(B_139)))))|~'E'(s('0'),f(B_139)))|~iLEQ(suc(A_3),suc(B_138)))|~'E'(s('0'),f(A_3)))|~iLEQ(suc(B_138),suc(B_139))))|'E'(f(A_3),f(suc(A_3)))))|'E'(f(B_138),f(suc(B_138)))))|'E'(f(B_140),f(suc(B_140))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f36])).
% 48.07/6.72  fof(f158,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~iLEQ(suc(X1),suc(X2))|'E'(f(X3),f(suc(X3)))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f157])).
% 48.07/6.72  fof(f161,plain,(
% 48.07/6.72    ![B_71]: ((![A_1]: (((![B_69]: (((![B_70]: ((((((((((((~'E'(s(s(s('0'))),f(B_69))|~'E'(s(s(s('0'))),f(suc(B_70))))|~'E'(s(s(s('0'))),f(suc(B_71))))|~'E'(s(s(s('0'))),f(B_70)))|~'E'(s(s(s('0'))),f(suc(B_69))))|~iLEQ(suc(B_70),suc(B_71)))|~'E'(f(B_69),f(suc(B_69))))|~iLEQ(suc(B_69),suc(B_70)))|~'E'(s(s(s('0'))),f(A_1)))|~'E'(f(B_70),f(suc(B_70))))|~'E'(s(s(s('0'))),f(suc(suc(A_1)))))|~'E'(s(s(s('0'))),f(suc(suc(B_69)))))|~'E'(s(s(s('0'))),f(suc(suc(B_70))))))|~'E'(f(A_1),f(suc(A_1))))|~iLEQ(suc(A_1),suc(B_69))))|~'E'(s(s(s('0'))),f(B_71)))|~'E'(s(s(s('0'))),f(suc(A_1)))))|'E'(f(B_71),f(suc(B_71))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f38])).
% 48.07/6.72  fof(f162,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X1),suc(X2))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|~'E'(s(s(s('0'))),f(X3))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(suc(X3))))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(f(X3),f(suc(X3)))|~iLEQ(suc(X3),suc(X0))|~'E'(s(s(s('0'))),f(X2))|~'E'(s(s(s('0'))),f(suc(X3)))|'E'(f(X2),f(suc(X2))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f161])).
% 48.07/6.72  fof(f165,plain,(
% 48.07/6.72    ![A_3]: ((((~'E'(s('0'),f(suc(suc(A_3))))|~'E'(s('0'),f(suc(A_3))))|~'E'(f(A_3),f(suc(A_3))))|~'E'(s('0'),f(A_3)))|iLEQ(suc(A_3),suc(A_3)))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f40])).
% 48.07/6.72  fof(f166,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f165])).
% 48.07/6.72  fof(f167,plain,(
% 48.07/6.72    ![A_2]: ((![B_115]: ((![B_113]: (((![B_114]: (((((((((((((~iLEQ(suc(A_2),suc(B_113))|~'E'(f(B_113),f(suc(B_113))))|~'E'(s(s('0')),f(suc(suc(B_114)))))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(B_114),suc(B_115)))|~'E'(s(s('0')),f(suc(suc(B_113)))))|~'E'(s(s('0')),f(B_115)))|~'E'(s(s('0')),f(suc(B_114))))|~'E'(s(s('0')),f(suc(suc(B_115)))))|~'E'(s(s('0')),f(B_114)))|~'E'(s(s('0')),f(B_113)))|~iLEQ(suc(B_113),suc(B_114)))|~'E'(s(s('0')),f(suc(B_115))))|~'E'(f(B_114),f(suc(B_114)))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(B_113)))))|~'E'(f(B_115),f(suc(B_115)))))|'E'(f(A_2),f(suc(A_2))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f41])).
% 48.07/6.72  fof(f168,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X3),f(suc(X3)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f167])).
% 48.07/6.72  fof(f171,plain,(
% 48.07/6.72    ![B_149]: ((~'LE'(f(B_149),s('0'))|'E'('0',f(B_149)))|'LE'(f(B_149),'0'))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f43])).
% 48.07/6.72  fof(f172,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(X0),s('0'))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f171])).
% 48.07/6.72  fof(f173,plain,(
% 48.07/6.72    ![A_1]: ((![B_71]: (((![B_69]: (((![B_70]: (((((((((((((~'E'(s(s(s('0'))),f(suc(suc(B_71))))|~'E'(s(s(s('0'))),f(B_69)))|~'E'(s(s(s('0'))),f(suc(B_70))))|~'E'(s(s(s('0'))),f(suc(B_71))))|~'E'(s(s(s('0'))),f(B_70)))|~'E'(s(s(s('0'))),f(suc(B_69))))|~iLEQ(suc(B_70),suc(B_71)))|~'E'(f(B_69),f(suc(B_69))))|~iLEQ(suc(B_69),suc(B_70)))|~'E'(s(s(s('0'))),f(A_1)))|~'E'(f(B_70),f(suc(B_70))))|~'E'(s(s(s('0'))),f(suc(suc(A_1)))))|~'E'(s(s(s('0'))),f(suc(suc(B_69)))))|~'E'(s(s(s('0'))),f(suc(suc(B_70))))))|~'E'(f(A_1),f(suc(A_1))))|~iLEQ(suc(A_1),suc(B_69))))|~'E'(f(B_71),f(suc(B_71))))|~'E'(s(s(s('0'))),f(B_71))))|~'E'(s(s(s('0'))),f(suc(A_1))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f44])).
% 48.07/6.72  fof(f174,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X2))|~'E'(s(s(s('0'))),f(suc(X1)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s(s('0'))),f(X3))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(suc(X3))))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(suc(X2))))|~'E'(f(X3),f(suc(X3)))|~iLEQ(suc(X3),suc(X1))|~'E'(f(X0),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X3))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f173])).
% 48.07/6.72  fof(f177,plain,(
% 48.07/6.72    ![A_4]: (((~'E'('0',f(A_4))|~'E'('0',f(suc(A_4))))|'E'(f(A_4),f(suc(A_4))))|iLEQ(suc(A_4),suc(A_4)))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f46])).
% 48.07/6.72  fof(f178,plain,(
% 48.07/6.72    ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f177])).
% 48.07/6.72  fof(f179,plain,(
% 48.07/6.72    ![B_115]: ((![B_114]: ((![A_2]: ((![B_113]: ((((((((((((~iLEQ(suc(A_2),suc(B_113))|~'E'(f(B_113),f(suc(B_113))))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(B_114),suc(B_115)))|~'E'(s(s('0')),f(suc(suc(B_113)))))|~'E'(s(s('0')),f(B_115)))|~'E'(s(s('0')),f(suc(B_114))))|~'E'(s(s('0')),f(B_114)))|~'E'(s(s('0')),f(B_113)))|~iLEQ(suc(B_113),suc(B_114)))|~'E'(s(s('0')),f(suc(B_115))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(B_113)))))|'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_114),f(suc(B_114)))))|'E'(f(B_115),f(suc(B_115))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f47])).
% 48.07/6.72  fof(f180,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X2),f(suc(X2)))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f179])).
% 48.07/6.72  fof(f181,plain,(
% 48.07/6.72    ![B_68]: ((~'LE'(f(B_68),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(B_68)))|'LE'(f(B_68),s(s(s('0')))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f48])).
% 48.07/6.72  fof(f182,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(X0),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(X0))|'LE'(f(X0),s(s(s('0')))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f181])).
% 48.07/6.72  fof(f183,plain,(
% 48.07/6.72    ![B_151]: ((![A_4]: ((![B_152]: ((![B_150]: (((((((((((((((~'E'('0',f(B_152))|~'E'('0',f(B_151)))|~iLEQ(suc(B_151),suc(B_152)))|~'E'(f(A_4),f(suc(A_4))))|~'E'('0',f(suc(suc(B_150)))))|~'E'(f(B_150),f(suc(B_150))))|~'E'('0',f(suc(B_150))))|~'E'('0',f(suc(suc(B_152)))))|~'E'('0',f(B_150)))|~'E'('0',f(suc(suc(B_151)))))|~'E'('0',f(suc(suc(A_4)))))|~'E'('0',f(suc(B_152))))|~iLEQ(suc(B_150),suc(B_151)))|~'E'('0',f(suc(A_4))))|~'E'(f(B_151),f(suc(B_151))))|~iLEQ(suc(A_4),suc(B_150))))|~'E'(f(B_152),f(suc(B_152)))))|~'E'('0',f(A_4))))|~'E'('0',f(suc(B_151))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f49])).
% 48.07/6.72  fof(f184,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X2),f(suc(X2)))|~'E'('0',f(suc(suc(X3))))|~'E'(f(X3),f(suc(X3)))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X3))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X3),suc(X1))|~'E'('0',f(suc(X2)))|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X2),suc(X3))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X2))|~'E'('0',f(suc(X1))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f183])).
% 48.07/6.72  fof(f185,plain,(
% 48.07/6.72    ![B_113]: ((![A_2]: ((![B_115]: ((((![B_114]: (((((((((((~iLEQ(suc(A_2),suc(B_113))|~'E'(s(s('0')),f(suc(suc(B_114)))))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(B_114),suc(B_115)))|~'E'(s(s('0')),f(B_115)))|~'E'(s(s('0')),f(suc(B_114))))|~'E'(s(s('0')),f(suc(suc(B_115)))))|~'E'(s(s('0')),f(B_114)))|~'E'(s(s('0')),f(B_113)))|~iLEQ(suc(B_113),suc(B_114)))|~'E'(s(s('0')),f(suc(B_115))))|~'E'(f(B_114),f(suc(B_114)))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(B_113))))|~'E'(f(B_115),f(suc(B_115)))))|'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_113),f(suc(B_113))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f50])).
% 48.07/6.72  fof(f186,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X3),f(suc(X3)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f185])).
% 48.07/6.72  fof(f187,plain,(
% 48.07/6.72    ![B_115]: ((![B_113]: ((![A_2]: ((((![B_114]: (((((((((((~iLEQ(suc(A_2),suc(B_113))|~'E'(s(s('0')),f(suc(suc(B_114)))))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(B_114),suc(B_115)))|~'E'(s(s('0')),f(B_115)))|~'E'(s(s('0')),f(suc(B_114))))|~'E'(s(s('0')),f(B_114)))|~'E'(s(s('0')),f(B_113)))|~iLEQ(suc(B_113),suc(B_114)))|~'E'(s(s('0')),f(suc(B_115))))|~'E'(s(s('0')),f(suc(suc(A_2)))))|~'E'(f(B_114),f(suc(B_114)))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(B_113))))|~'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_113),f(suc(B_113)))))|'E'(f(B_115),f(suc(B_115))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f51])).
% 48.07/6.72  fof(f188,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f187])).
% 48.07/6.72  fof(f189,plain,(
% 48.07/6.72    ![A_3]: (((~'E'(s('0'),f(A_3))|~'E'(s('0'),f(suc(A_3))))|'E'(f(A_3),f(suc(A_3))))|iLEQ(suc(A_3),suc(A_3)))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f52])).
% 48.07/6.72  fof(f190,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f189])).
% 48.07/6.72  fof(f191,plain,(
% 48.07/6.72    ![LE]: (~'LE'(f(z),'0'))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f53])).
% 48.07/6.72  fof(f196,plain,(
% 48.07/6.72    ![B_115]: ((![B_113]: ((![A_2]: ((((![B_114]: ((((((((((~iLEQ(suc(A_2),suc(B_113))|~'E'(s(s('0')),f(suc(suc(B_114)))))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(B_114),suc(B_115)))|~'E'(s(s('0')),f(B_115)))|~'E'(s(s('0')),f(suc(B_114))))|~'E'(s(s('0')),f(B_114)))|~'E'(s(s('0')),f(B_113)))|~iLEQ(suc(B_113),suc(B_114)))|~'E'(s(s('0')),f(suc(B_115))))|~'E'(f(B_114),f(suc(B_114)))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(B_113))))|'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_113),f(suc(B_113)))))|'E'(f(B_115),f(suc(B_115))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f56])).
% 48.07/6.72  fof(f197,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f196])).
% 48.07/6.72  fof(f204,plain,(
% 48.07/6.72    ![B_112]: ((~'LE'(f(B_112),s(s(s('0'))))|'E'(s(s('0')),f(B_112)))|'LE'(f(B_112),s(s('0'))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f60])).
% 48.07/6.72  fof(f205,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(X0),s(s(s('0'))))|'E'(s(s('0')),f(X0))|'LE'(f(X0),s(s('0'))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f204])).
% 48.07/6.72  fof(f208,plain,(
% 48.07/6.72    ![B_152]: ((![B_151]: ((![B_150]: (((![A_4]: (((((((((((~'E'('0',f(B_152))|~'E'('0',f(B_151)))|~iLEQ(suc(B_151),suc(B_152)))|~'E'(f(A_4),f(suc(A_4))))|~'E'('0',f(suc(B_150))))|~'E'('0',f(B_150)))|~'E'('0',f(suc(suc(A_4)))))|~'E'('0',f(suc(B_152))))|~iLEQ(suc(B_150),suc(B_151)))|~'E'('0',f(suc(A_4))))|~iLEQ(suc(A_4),suc(B_150)))|~'E'('0',f(A_4))))|~'E'('0',f(suc(B_151))))|'E'(f(B_150),f(suc(B_150)))))|'E'(f(B_151),f(suc(B_151)))))|'E'(f(B_152),f(suc(B_152))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f62])).
% 48.07/6.72  fof(f209,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X2),f(suc(X2)))|~'E'('0',f(suc(X3)))|~'E'('0',f(X3))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X3),suc(X1))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X2),suc(X3))|~'E'('0',f(X2))|~'E'('0',f(suc(X1)))|'E'(f(X3),f(suc(X3)))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f208])).
% 48.07/6.72  fof(f216,plain,(
% 48.07/6.72    ![B_114]: ((![B_113]: ((![A_2]: ((![B_115]: ((((((((((((~iLEQ(suc(A_2),suc(B_113))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(B_114),suc(B_115)))|~'E'(s(s('0')),f(B_115)))|~'E'(s(s('0')),f(suc(B_114))))|~'E'(s(s('0')),f(suc(suc(B_115)))))|~'E'(s(s('0')),f(B_114)))|~'E'(s(s('0')),f(B_113)))|~iLEQ(suc(B_113),suc(B_114)))|~'E'(s(s('0')),f(suc(B_115))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(B_113))))|~'E'(f(B_115),f(suc(B_115)))))|'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_113),f(suc(B_113)))))|'E'(f(B_114),f(suc(B_114))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f66])).
% 48.07/6.72  fof(f217,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X3),f(suc(X3)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f216])).
% 48.07/6.72  fof(f218,plain,(
% 48.07/6.72    ![B_71]: ((![B_70]: ((![B_69]: ((![A_1]: (((((((((((~'E'(s(s(s('0'))),f(B_69))|~'E'(s(s(s('0'))),f(suc(B_70))))|~'E'(s(s(s('0'))),f(suc(B_71))))|~'E'(s(s(s('0'))),f(B_70)))|~'E'(s(s(s('0'))),f(suc(B_69))))|~iLEQ(suc(B_70),suc(B_71)))|~iLEQ(suc(B_69),suc(B_70)))|~'E'(s(s(s('0'))),f(A_1)))|~iLEQ(suc(A_1),suc(B_69)))|~'E'(s(s(s('0'))),f(B_71)))|~'E'(s(s(s('0'))),f(suc(A_1))))|'E'(f(A_1),f(suc(A_1)))))|'E'(f(B_69),f(suc(B_69)))))|'E'(f(B_70),f(suc(B_70)))))|'E'(f(B_71),f(suc(B_71))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f67])).
% 48.07/6.72  fof(f219,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X1),suc(X2))|~iLEQ(suc(X0),suc(X1))|~'E'(s(s(s('0'))),f(X3))|~iLEQ(suc(X3),suc(X0))|~'E'(s(s(s('0'))),f(X2))|~'E'(s(s(s('0'))),f(suc(X3)))|'E'(f(X3),f(suc(X3)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f218])).
% 48.07/6.72  fof(f220,plain,(
% 48.07/6.72    ![B_112]: ((~'LE'(f(suc(suc(B_112))),s(s(s('0'))))|'E'(s(s('0')),f(suc(suc(B_112)))))|'LE'(f(B_112),s(s('0'))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f68])).
% 48.07/6.72  fof(f221,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(suc(suc(X0))),s(s(s('0'))))|'E'(s(s('0')),f(suc(suc(X0))))|'LE'(f(X0),s(s('0'))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f220])).
% 48.07/6.72  fof(f222,plain,(
% 48.07/6.72    ![B_113]: ((![B_115]: ((![A_2]: ((((![B_114]: ((((((((((((~iLEQ(suc(A_2),suc(B_113))|~'E'(s(s('0')),f(suc(suc(B_114)))))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(B_114),suc(B_115)))|~'E'(s(s('0')),f(B_115)))|~'E'(s(s('0')),f(suc(B_114))))|~'E'(s(s('0')),f(suc(suc(B_115)))))|~'E'(s(s('0')),f(B_114)))|~'E'(s(s('0')),f(B_113)))|~iLEQ(suc(B_113),suc(B_114)))|~'E'(s(s('0')),f(suc(B_115))))|~'E'(s(s('0')),f(suc(suc(A_2)))))|~'E'(f(B_114),f(suc(B_114)))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(B_113))))|~'E'(f(A_2),f(suc(A_2)))))|~'E'(f(B_115),f(suc(B_115)))))|'E'(f(B_113),f(suc(B_113))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f69])).
% 48.07/6.72  fof(f223,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~'E'(f(X3),f(suc(X3)))|'E'(f(X1),f(suc(X1))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f222])).
% 48.07/6.72  fof(f224,plain,(
% 48.07/6.72    ![B_68]: ((~'LE'(f(suc(B_68)),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(B_68))))|'LE'(f(B_68),s(s(s('0')))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f70])).
% 48.07/6.72  fof(f225,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s(s(s('0')))))|'E'(s(s(s('0'))),f(suc(X0)))|'LE'(f(X0),s(s(s('0')))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f224])).
% 48.07/6.72  fof(f226,plain,(
% 48.07/6.72    ![B_115]: ((![A_2]: ((![B_113]: (((![B_114]: ((((((((((((((~iLEQ(suc(A_2),suc(B_113))|~'E'(f(B_113),f(suc(B_113))))|~'E'(s(s('0')),f(suc(suc(B_114)))))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(B_114),suc(B_115)))|~'E'(s(s('0')),f(suc(suc(B_113)))))|~'E'(s(s('0')),f(B_115)))|~'E'(s(s('0')),f(suc(B_114))))|~'E'(s(s('0')),f(suc(suc(B_115)))))|~'E'(s(s('0')),f(B_114)))|~'E'(s(s('0')),f(B_113)))|~iLEQ(suc(B_113),suc(B_114)))|~'E'(s(s('0')),f(suc(B_115))))|~'E'(s(s('0')),f(suc(suc(A_2)))))|~'E'(f(B_114),f(suc(B_114)))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(B_113)))))|~'E'(f(A_2),f(suc(A_2)))))|~'E'(f(B_115),f(suc(B_115))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f71])).
% 48.07/6.72  fof(f227,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f226])).
% 48.07/6.72  fof(f230,plain,(
% 48.07/6.72    ![B_115]: ((![B_114]: ((![B_113]: ((![A_2]: (((((((((((~iLEQ(suc(A_2),suc(B_113))|~'E'(s(s('0')),f(suc(A_2))))|~iLEQ(suc(B_114),suc(B_115)))|~'E'(s(s('0')),f(B_115)))|~'E'(s(s('0')),f(suc(B_114))))|~'E'(s(s('0')),f(B_114)))|~'E'(s(s('0')),f(B_113)))|~iLEQ(suc(B_113),suc(B_114)))|~'E'(s(s('0')),f(suc(B_115))))|~'E'(s(s('0')),f(A_2)))|~'E'(s(s('0')),f(suc(B_113))))|'E'(f(A_2),f(suc(A_2)))))|'E'(f(B_113),f(suc(B_113)))))|'E'(f(B_114),f(suc(B_114)))))|'E'(f(B_115),f(suc(B_115))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f73])).
% 48.07/6.72  fof(f231,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2)))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f230])).
% 48.07/6.72  fof(f232,plain,(
% 48.07/6.72    ![B_140]: ((![A_3]: ((![B_138,B_139]: ((((((((((((((~'E'(s('0'),f(suc(B_140)))|~'E'(s('0'),f(B_140)))|~'E'(s('0'),f(suc(B_138))))|~'E'(s('0'),f(B_138)))|~'E'(s('0'),f(suc(B_139))))|~'E'(s('0'),f(suc(A_3))))|~iLEQ(suc(B_139),suc(B_140)))|~'E'(f(B_138),f(suc(B_138))))|~'E'(f(B_139),f(suc(B_139))))|~'E'(s('0'),f(suc(suc(B_139)))))|~'E'(s('0'),f(B_139)))|~iLEQ(suc(A_3),suc(B_138)))|~'E'(s('0'),f(A_3)))|~'E'(s('0'),f(suc(suc(B_138)))))|~iLEQ(suc(B_138),suc(B_139))))|'E'(f(A_3),f(suc(A_3)))))|'E'(f(B_140),f(suc(B_140))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f74])).
% 48.07/6.72  fof(f233,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|'E'(f(X3),f(suc(X3)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f232])).
% 48.07/6.72  fof(f234,plain,(
% 48.07/6.72    ![B_140]: ((![B_139]: ((![B_138]: ((![A_3]: (((((((((((~'E'(s('0'),f(suc(B_140)))|~'E'(s('0'),f(B_140)))|~'E'(s('0'),f(suc(B_138))))|~'E'(s('0'),f(B_138)))|~'E'(s('0'),f(suc(B_139))))|~'E'(s('0'),f(suc(A_3))))|~iLEQ(suc(B_139),suc(B_140)))|~'E'(s('0'),f(B_139)))|~iLEQ(suc(A_3),suc(B_138)))|~'E'(s('0'),f(A_3)))|~iLEQ(suc(B_138),suc(B_139)))|'E'(f(A_3),f(suc(A_3)))))|'E'(f(B_138),f(suc(B_138)))))|'E'(f(B_139),f(suc(B_139)))))|'E'(f(B_140),f(suc(B_140))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f75])).
% 48.07/6.72  fof(f235,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~iLEQ(suc(X1),suc(X2))|'E'(f(X3),f(suc(X3)))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f234])).
% 48.07/6.72  fof(f236,plain,(
% 48.07/6.72    ![B_149]: ((~'LE'(f(suc(B_149)),s('0'))|'E'('0',f(suc(B_149))))|'LE'(f(B_149),'0'))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f76])).
% 48.07/6.72  fof(f237,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(suc(X0)),s('0'))|'E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f236])).
% 48.07/6.72  fof(f240,plain,(
% 48.07/6.72    ![B_151]: ((![B_150]: (((![A_4]: ((![B_152]: ((((((((((((~'E'('0',f(B_152))|~'E'('0',f(B_151)))|~iLEQ(suc(B_151),suc(B_152)))|~'E'(f(A_4),f(suc(A_4))))|~'E'('0',f(suc(B_150))))|~'E'('0',f(suc(suc(B_152)))))|~'E'('0',f(B_150)))|~'E'('0',f(suc(suc(A_4)))))|~'E'('0',f(suc(B_152))))|~iLEQ(suc(B_150),suc(B_151)))|~'E'('0',f(suc(A_4))))|~iLEQ(suc(A_4),suc(B_150)))|~'E'(f(B_152),f(suc(B_152)))))|~'E'('0',f(A_4))))|~'E'('0',f(suc(B_151))))|'E'(f(B_150),f(suc(B_150)))))|'E'(f(B_151),f(suc(B_151))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f78])).
% 48.07/6.72  fof(f241,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X2),f(suc(X2)))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X3))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X3),suc(X1))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X2),suc(X3))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X2))|~'E'('0',f(suc(X1)))|'E'(f(X3),f(suc(X3)))|'E'(f(X1),f(suc(X1))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f240])).
% 48.07/6.72  fof(f242,plain,(
% 48.07/6.72    ![A_2]: ((((~'E'(s(s('0')),f(suc(suc(A_2))))|~'E'(s(s('0')),f(suc(A_2))))|~'E'(f(A_2),f(suc(A_2))))|~'E'(s(s('0')),f(A_2)))|iLEQ(suc(A_2),suc(A_2)))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f79])).
% 48.07/6.72  fof(f243,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s(s('0')),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f242])).
% 48.07/6.72  fof(f244,plain,(
% 48.07/6.72    ![B_152]: ((![B_151]: ((![B_150]: ((![A_4]: (((((((((((~'E'('0',f(B_152))|~'E'('0',f(B_151)))|~iLEQ(suc(B_151),suc(B_152)))|~'E'('0',f(suc(B_150))))|~'E'('0',f(B_150)))|~'E'('0',f(suc(B_152))))|~iLEQ(suc(B_150),suc(B_151)))|~'E'('0',f(suc(A_4))))|~iLEQ(suc(A_4),suc(B_150)))|~'E'('0',f(A_4)))|~'E'('0',f(suc(B_151))))|'E'(f(A_4),f(suc(A_4)))))|'E'(f(B_150),f(suc(B_150)))))|'E'(f(B_151),f(suc(B_151)))))|'E'(f(B_152),f(suc(B_152))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f80])).
% 48.07/6.72  fof(f245,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X2)))|~'E'('0',f(X2))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X2),suc(X1))|~'E'('0',f(suc(X3)))|~iLEQ(suc(X3),suc(X2))|~'E'('0',f(X3))|~'E'('0',f(suc(X1)))|'E'(f(X3),f(suc(X3)))|'E'(f(X2),f(suc(X2)))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f244])).
% 48.07/6.72  fof(f248,plain,(
% 48.07/6.72    ![B_150]: ((![B_151]: ((![A_4]: ((![B_152]: ((((((((((((((~'E'('0',f(B_152))|~'E'('0',f(B_151)))|~iLEQ(suc(B_151),suc(B_152)))|~'E'(f(A_4),f(suc(A_4))))|~'E'('0',f(suc(B_150))))|~'E'('0',f(suc(suc(B_152)))))|~'E'('0',f(B_150)))|~'E'('0',f(suc(suc(B_151)))))|~'E'('0',f(suc(suc(A_4)))))|~'E'('0',f(suc(B_152))))|~iLEQ(suc(B_150),suc(B_151)))|~'E'('0',f(suc(A_4))))|~'E'(f(B_151),f(suc(B_151))))|~iLEQ(suc(A_4),suc(B_150)))|~'E'(f(B_152),f(suc(B_152)))))|~'E'('0',f(A_4))))|~'E'('0',f(suc(B_151)))))|'E'(f(B_150),f(suc(B_150))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f82])).
% 48.07/6.72  fof(f249,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X2),f(suc(X2)))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X3))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X3),suc(X1))|~'E'('0',f(suc(X2)))|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X2),suc(X3))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X2))|~'E'('0',f(suc(X1)))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f248])).
% 48.07/6.72  fof(f250,plain,(
% 48.07/6.72    ![B_112]: ((~'LE'(f(suc(B_112)),s(s(s('0'))))|'E'(s(s('0')),f(suc(B_112))))|'LE'(f(B_112),s(s('0'))))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f83])).
% 48.07/6.72  fof(f251,plain,(
% 48.07/6.72    ![LE,X0,E]: (~'LE'(f(suc(X0)),s(s(s('0'))))|'E'(s(s('0')),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f250])).
% 48.07/6.72  fof(f256,plain,(
% 48.07/6.72    ![A_1]: (((~'E'(s(s(s('0'))),f(A_1))|~'E'(s(s(s('0'))),f(suc(A_1))))|'E'(f(A_1),f(suc(A_1))))|iLEQ(suc(A_1),suc(A_1)))),
% 48.07/6.72    inference(miniscoping,[status(thm)],[f86])).
% 48.07/6.72  fof(f257,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(cnf_transformation,[status(thm)],[f256])).
% 48.07/6.72  fof(f281,plain,(
% 48.07/6.72    ![E,X0,LE]: ('E'(s(s(s('0'))),f(X0))|'LE'(f(X0),s(s(s('0')))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f182,f132])).
% 48.07/6.72  fof(f288,plain,(
% 48.07/6.72    ![E,X0]: (~'E'('0',f(suc(suc(X0))))|~'E'('0',f(suc(X0)))|~'E'('0',f(X0))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f106,f178])).
% 48.07/6.72  fof(f289,plain,(
% 48.07/6.72    ![E,X0,LE]: ('E'(s(s(s('0'))),f(suc(X0)))|'LE'(f(X0),s(s(s('0')))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f225,f132])).
% 48.07/6.72  fof(f292,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f102,f257])).
% 48.07/6.72  fof(f293,plain,(
% 48.07/6.72    ![E,X0,LE]: ('E'(s(s(s('0'))),f(suc(suc(X0))))|'LE'(f(X0),s(s(s('0')))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f108,f132])).
% 48.07/6.72  fof(f296,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f166,f190])).
% 48.07/6.72  fof(f297,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f243,f140])).
% 48.07/6.72  fof(f301,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|~'E'('0',f(suc(X2)))|~'E'('0',f(X2))|~'E'('0',f(suc(suc(X3))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X2),suc(X1))|~'E'('0',f(suc(X3)))|~iLEQ(suc(X3),suc(X2))|~'E'('0',f(X3))|~'E'('0',f(suc(X1)))|'E'(f(X2),f(suc(X2)))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f209,f245])).
% 48.07/6.72  fof(f311,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X2),f(suc(X2)))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X3))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X3),suc(X1))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X2),suc(X3))|~'E'('0',f(X2))|~'E'('0',f(suc(X1)))|'E'(f(X3),f(suc(X3)))|'E'(f(X1),f(suc(X1))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f241,f301])).
% 48.07/6.72  fof(f314,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(f(X3),f(suc(X3)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(suc(suc(X3)))))),
% 48.07/6.72    inference(backward_subsumption_resolution,[status(thm)],[f100,f120])).
% 48.07/6.72  fof(f315,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~iLEQ(suc(X1),suc(X2))|'E'(f(X3),f(suc(X3)))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f158,f235])).
% 48.07/6.72  fof(f321,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X2),f(suc(X2)))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X3))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X3),suc(X1))|~'E'('0',f(suc(X2)))|~iLEQ(suc(X2),suc(X3))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X2))|~'E'('0',f(suc(X1)))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f249,f311])).
% 48.07/6.72  fof(f334,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|'E'(f(X3),f(suc(X3)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f233,f315])).
% 48.07/6.72  fof(f340,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'('0',f(X0))|~'E'('0',f(X1))|~iLEQ(suc(X1),suc(X0))|~'E'(f(X2),f(suc(X2)))|~'E'('0',f(suc(suc(X3))))|~'E'('0',f(suc(X3)))|~'E'('0',f(suc(suc(X0))))|~'E'('0',f(X3))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X0)))|~iLEQ(suc(X3),suc(X1))|~'E'('0',f(suc(X2)))|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X2),suc(X3))|~'E'(f(X0),f(suc(X0)))|~'E'('0',f(X2))|~'E'('0',f(suc(X1))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f184,f321])).
% 48.07/6.72  fof(f342,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X2),f(suc(X2))))),
% 48.07/6.72    inference(backward_subsumption_resolution,[status(thm)],[f104,f343])).
% 48.07/6.72  fof(f343,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X2),f(suc(X2)))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f180,f231])).
% 48.07/6.72  fof(f344,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f138,f334])).
% 48.07/6.72  fof(f345,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f197,f231])).
% 48.07/6.72  fof(f346,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f217,f231])).
% 48.07/6.72  fof(f349,plain,(
% 48.07/6.72    ![E,X0,X1,X2]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X1),suc(X2))|~iLEQ(suc(X0),suc(X1))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(X2))|~'E'(s(s(s('0'))),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0)))),
% 48.07/6.72    inference(resolution,[status(thm)],[f219,f292])).
% 48.07/6.72  fof(f353,plain,(
% 48.07/6.72    ![E,X0,X1,X2]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X1),suc(X2))|~iLEQ(suc(X0),suc(X1))|~'E'(s(s(s('0'))),f(X2))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(suc(X0)))))),
% 48.07/6.72    inference(duplicate_literals_removal,[status(thm)],[f349])).
% 48.07/6.72  fof(f368,plain,(
% 48.07/6.72    ![E,X0,X1]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|~'E'(s(s(s('0'))),f(X1))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|'E'(f(X1),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(X1)))),
% 48.07/6.72    inference(resolution,[status(thm)],[f353,f292])).
% 48.07/6.72  fof(f372,plain,(
% 48.07/6.72    ![E,X0,X1]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(suc(X1)))))),
% 48.07/6.72    inference(duplicate_literals_removal,[status(thm)],[f368])).
% 48.07/6.72  fof(f376,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0)))),
% 48.07/6.72    inference(resolution,[status(thm)],[f372,f292])).
% 48.07/6.72  fof(f380,plain,(
% 48.07/6.72    ![E,X0]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|~'E'(s(s(s('0'))),f(suc(suc(X0)))))),
% 48.07/6.72    inference(duplicate_literals_removal,[status(thm)],[f376])).
% 48.07/6.72  fof(f395,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~iLEQ(suc(X1),suc(X2))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|~'E'(s(s(s('0'))),f(X3))|~'E'(s(s(s('0'))),f(suc(suc(X3))))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(f(X3),f(suc(X3)))|~iLEQ(suc(X3),suc(X0))|~'E'(s(s(s('0'))),f(X2))|~'E'(s(s(s('0'))),f(suc(X3)))|'E'(f(X2),f(suc(X2))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f162,f380])).
% 48.07/6.72  fof(f398,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X3),f(suc(X3)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.72    inference(backward_subsumption_resolution,[status(thm)],[f168,f399])).
% 48.07/6.72  fof(f399,plain,(
% 48.07/6.72    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X2),f(suc(X2))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f342,f346])).
% 48.07/6.72  fof(f400,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(X2))|~iLEQ(suc(X3),suc(X1))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(suc(suc(X3)))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f314,f344])).
% 48.07/6.72  fof(f401,plain,(
% 48.07/6.72    ![E,X0,X1,X2,X3]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X2))|~'E'(s(s(s('0'))),f(suc(X1)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s(s('0'))),f(X3))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(suc(X3))))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(suc(X2))))|~'E'(f(X3),f(suc(X3)))|~iLEQ(suc(X3),suc(X1))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X3))))),
% 48.07/6.72    inference(forward_subsumption_resolution,[status(thm)],[f174,f395])).
% 48.07/6.72  fof(f404,plain,(
% 48.07/6.72    ![E,X0,X1,X2]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X2))|~'E'(s(s(s('0'))),f(suc(X1)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s(s('0'))),f(X1))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(suc(X2))))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(X1)))|~'E'(s(s(s('0'))),f(X1)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f401,f292])).
% 48.07/6.73  fof(f410,plain,(
% 48.07/6.73    ![E,X0,X1,X2]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X2))|~'E'(s(s(s('0'))),f(suc(X1)))|~iLEQ(suc(X2),suc(X0))|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X1),suc(X2))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(suc(X2))))|~'E'(s(s(s('0'))),f(X0)))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f404])).
% 48.07/6.73  fof(f411,plain,(
% 48.07/6.73    ![E,X0,X1,X2]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X2))|~'E'(s(s(s('0'))),f(suc(X1)))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X1),suc(X2))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(suc(X2))))|~'E'(s(s(s('0'))),f(X0)))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f410,f380])).
% 48.07/6.73  fof(f414,plain,(
% 48.07/6.73    ![E,X0,X1,X2]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X2)))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X2))|~'E'(s(s(s('0'))),f(suc(X1)))|~iLEQ(suc(X2),suc(X0))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(suc(X2))))|~'E'(s(s(s('0'))),f(X0)))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f411,f380])).
% 48.07/6.73  fof(f417,plain,(
% 48.07/6.73    ![E,X0,X1]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s('0'))),f(suc(suc(X1))))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f414,f292])).
% 48.07/6.73  fof(f421,plain,(
% 48.07/6.73    ![E,X0,X1]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X1))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X1)))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s(s('0'))),f(suc(suc(X1)))))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f417])).
% 48.07/6.73  fof(f425,plain,(
% 48.07/6.73    ![E,X0]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(suc(X0)))|~'E'(s(s(s('0'))),f(X0)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f421,f292])).
% 48.07/6.73  fof(f429,plain,(
% 48.07/6.73    ![E,X0]: (~'E'(s(s(s('0'))),f(suc(suc(X0))))|~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X0))))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f425])).
% 48.07/6.73  fof(f431,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(s(s(s('0'))),f(X0))|~'E'(s(s(s('0'))),f(suc(X0)))|'LE'(f(X0),s(s(s('0')))))),
% 48.07/6.73    inference(resolution,[status(thm)],[f429,f293])).
% 48.07/6.73  fof(f436,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(s(s(s('0'))),f(suc(X0)))|'LE'(f(X0),s(s(s('0')))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f431,f281])).
% 48.07/6.73  fof(f438,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'(s(s('0')),f(suc(suc(X0))))|'LE'(f(X0),s(s('0'))))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f221,f441])).
% 48.07/6.73  fof(f439,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'(s(s('0')),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f251,f441])).
% 48.07/6.73  fof(f440,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'(s(s('0')),f(X0))|'LE'(f(X0),s(s('0'))))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f205,f441])).
% 48.07/6.73  fof(f441,plain,(
% 48.07/6.73    ![LE,X0]: ('LE'(f(X0),s(s(s('0')))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f436,f289])).
% 48.07/6.73  fof(f501,plain,(
% 48.07/6.73    ![LE,X0,X1,E]: ('LE'(f(X0),s(s('0')))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X0),suc(X0))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(X0))|~iLEQ(suc(X0),suc(X0))|~'E'(s(s('0')),f(X1))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.73    inference(resolution,[status(thm)],[f439,f231])).
% 48.07/6.73  fof(f507,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(X0))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f439,f140])).
% 48.07/6.73  fof(f589,plain,(
% 48.07/6.73    ![LE,X0,X1,E]: ('LE'(f(X0),s(s('0')))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X0),suc(X0))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(X1))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f501])).
% 48.07/6.73  fof(f590,plain,(
% 48.07/6.73    ![LE,X0,X1,E]: ('LE'(f(X0),s(s('0')))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X1)))|~iLEQ(suc(X0),suc(X0))|~'E'(s(s('0')),f(X1))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f589,f440])).
% 48.07/6.73  fof(f598,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f507,f440])).
% 48.07/6.73  fof(f599,plain,(
% 48.07/6.73    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X3),f(suc(X3)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f186,f346])).
% 48.07/6.73  fof(f853,plain,(
% 48.07/6.73    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|'E'(f(X1),f(suc(X1)))|'E'(f(X3),f(suc(X3))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f188,f345])).
% 48.07/6.73  fof(f1063,plain,(
% 48.07/6.73    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f223,f853])).
% 48.07/6.73  fof(f1065,plain,(
% 48.07/6.73    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X0),f(suc(X0)))|~'E'(f(X3),f(suc(X3))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f227,f1063])).
% 48.07/6.73  fof(f1098,plain,(
% 48.07/6.73    ![LE,X0,X1,E]: ('LE'(f(X0),s(s('0')))|~iLEQ(suc(X1),suc(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X1))|'E'(f(X1),f(suc(X1)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f590,f598])).
% 48.07/6.73  fof(f1099,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f1098,f297])).
% 48.07/6.73  fof(f1102,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|'E'(f(X0),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f1099])).
% 48.07/6.73  fof(f1103,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f1102,f440])).
% 48.07/6.73  fof(f1108,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|'E'(f(X0),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f1103,f439])).
% 48.07/6.73  fof(f1111,plain,(
% 48.07/6.73    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(f(X2),f(suc(X2)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X3),f(suc(X3))))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f1065,f1112])).
% 48.07/6.73  fof(f1112,plain,(
% 48.07/6.73    ![X0,X1,E,X2,X3]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X0)))|~iLEQ(suc(X2),suc(X3))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X3))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(suc(X3))))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X3)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X3),f(suc(X3)))|'E'(f(X0),f(suc(X0))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f398,f599])).
% 48.07/6.73  fof(f1113,plain,(
% 48.07/6.73    ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X1)))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X1)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f1111,f297])).
% 48.07/6.73  fof(f1122,plain,(
% 48.07/6.73    ![X0,X1,E]: (~iLEQ(suc(X0),suc(X1))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(X0)))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f1113])).
% 48.07/6.73  fof(f1163,plain,(
% 48.07/6.73    ![E,X0]: (~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(f(X0),f(suc(X0)))|~'E'(s(s('0')),f(X0))|~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f1122,f297])).
% 48.07/6.73  fof(f1166,plain,(
% 48.07/6.73    ![E,X0]: (~'E'(s(s('0')),f(suc(suc(X0))))|~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|~'E'(f(X0),f(suc(X0))))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f1163])).
% 48.07/6.73  fof(f1171,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(s(s('0')),f(suc(X0)))|~'E'(s(s('0')),f(X0))|~'E'(f(X0),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 48.07/6.73    inference(resolution,[status(thm)],[f1166,f438])).
% 48.07/6.73  fof(f1175,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(s(s('0')),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f1171,f440])).
% 48.07/6.73  fof(f1181,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s(s('0')))|~'E'(s(s('0')),f(suc(suc(X0)))))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f1108,f1183])).
% 48.07/6.73  fof(f1183,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(f(X0),f(suc(X0)))|'LE'(f(X0),s(s('0'))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f1175,f439])).
% 48.07/6.73  fof(f1187,plain,(
% 48.07/6.73    ![LE,X0]: ('LE'(f(X0),s(s('0'))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f1181,f438])).
% 48.07/6.73  fof(f1188,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'(s('0'),f(suc(suc(X0))))|'LE'(f(X0),s('0')))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f142,f1187])).
% 48.07/6.73  fof(f1189,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'(s('0'),f(suc(X0)))|'LE'(f(X0),s('0')))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f112,f1187])).
% 48.07/6.73  fof(f1190,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f130,f1187])).
% 48.07/6.73  fof(f1192,plain,(
% 48.07/6.73    ![LE,X0,E,X1,X2,X3]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X3)))|~'E'(s('0'),f(suc(X0)))|~iLEQ(suc(X3),suc(X1))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X3),f(suc(X3)))|~'E'(s('0'),f(suc(suc(X3))))|~'E'(s('0'),f(X3))|~iLEQ(suc(X0),suc(X2))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(suc(X2))))|~iLEQ(suc(X2),suc(X3)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f1188,f400])).
% 48.07/6.73  fof(f1196,plain,(
% 48.07/6.73    ![LE,X0,E,X1,X2,X3]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X0),suc(X1))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(X0))|~iLEQ(suc(X3),suc(X2))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(suc(X2))))|~iLEQ(suc(X2),suc(X0))|~'E'(s('0'),f(suc(suc(X3)))))),
% 48.07/6.73    inference(resolution,[status(thm)],[f1188,f400])).
% 48.07/6.73  fof(f1411,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'(s('0'),f(X0))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 48.07/6.73    inference(resolution,[status(thm)],[f1190,f172])).
% 48.07/6.73  fof(f1567,plain,(
% 48.07/6.73    ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X1))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X0))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X0))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 48.07/6.73    inference(resolution,[status(thm)],[f1189,f235])).
% 48.07/6.73  fof(f1573,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(X0))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f1189,f190])).
% 48.07/6.73  fof(f1742,plain,(
% 48.07/6.73    ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X1))|~iLEQ(suc(X0),suc(X0))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f1567])).
% 48.07/6.73  fof(f1743,plain,(
% 48.07/6.73    ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~iLEQ(suc(X0),suc(X1))|~iLEQ(suc(X0),suc(X0))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f1742,f1190])).
% 48.07/6.73  fof(f1751,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|'E'(f(X0),f(suc(X0)))|iLEQ(suc(X0),suc(X0)))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f1573,f1190])).
% 48.07/6.73  fof(f2405,plain,(
% 48.07/6.73    ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~iLEQ(suc(X0),suc(X1))|'E'(f(X0),f(suc(X0)))|'E'(f(X1),f(suc(X1))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f1743,f1751])).
% 48.07/6.73  fof(f2407,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|'E'(f(X0),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2405,f296])).
% 48.07/6.73  fof(f2411,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f2407])).
% 48.07/6.73  fof(f2412,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2411,f1190])).
% 48.07/6.73  fof(f2415,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2412,f1189])).
% 48.07/6.73  fof(f2490,plain,(
% 48.07/6.73    ![LE,X0,E,X1,X2,X3]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X3)))|~'E'(s('0'),f(suc(X0)))|~iLEQ(suc(X3),suc(X1))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X3),f(suc(X3)))|~'E'(s('0'),f(suc(suc(X3))))|~'E'(s('0'),f(X3))|~iLEQ(suc(X0),suc(X2))|~'E'(s('0'),f(suc(suc(X2))))|~iLEQ(suc(X2),suc(X3)))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f1192,f1190])).
% 48.07/6.73  fof(f2492,plain,(
% 48.07/6.73    ![LE,X0,E,X1,X2]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X0)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(X1))|~iLEQ(suc(X0),suc(X2))|~'E'(s('0'),f(suc(suc(X2))))|~iLEQ(suc(X2),suc(X1))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2490,f296])).
% 48.07/6.73  fof(f2495,plain,(
% 48.07/6.73    ![LE,X0,E,X1,X2]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X0)))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X0),suc(X2))|~'E'(s('0'),f(suc(suc(X2))))|~iLEQ(suc(X2),suc(X1)))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f2492])).
% 48.07/6.73  fof(f2496,plain,(
% 48.07/6.73    ![LE,X0,E,X1,X2]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X2))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X1),f(suc(X1)))|~iLEQ(suc(X0),suc(X2))|~'E'(s('0'),f(suc(suc(X2))))|~iLEQ(suc(X2),suc(X1)))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2495,f1189])).
% 48.07/6.73  fof(f2501,plain,(
% 48.07/6.73    ![E,X0,X1,X2,LE]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X2),suc(X1))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0))|'E'('0',f(X2))|'LE'(f(X2),'0'))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2496,f172])).
% 48.07/6.73  fof(f2503,plain,(
% 48.07/6.73    ![E,X0,X1,LE]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0))|'E'('0',f(X1))|'LE'(f(X1),'0')|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2501,f296])).
% 48.07/6.73  fof(f2505,plain,(
% 48.07/6.73    ![E,X0,X1,LE]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0))|'E'('0',f(X1))|'LE'(f(X1),'0'))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f2503])).
% 48.07/6.73  fof(f2506,plain,(
% 48.07/6.73    ![E,X0,X1,LE]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X1)))|~'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X0))|'E'('0',f(X1))|'LE'(f(X1),'0'))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2505,f1411])).
% 48.07/6.73  fof(f2508,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|'E'('0',f(X0))|'LE'(f(X0),'0')|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2506,f296])).
% 48.07/6.73  fof(f2511,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f2508])).
% 48.07/6.73  fof(f2512,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(s('0'),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2511,f1411])).
% 48.07/6.73  fof(f2524,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(s('0'),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|'E'('0',f(X0))|'LE'(f(X0),'0')|'LE'(f(X0),s('0')))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2512,f1188])).
% 48.07/6.73  fof(f2529,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(f(X0),f(suc(X0)))|'E'('0',f(X0))|'LE'(f(X0),'0')|'LE'(f(X0),s('0')))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2524,f1189])).
% 48.07/6.73  fof(f2531,plain,(
% 48.07/6.73    ![E,X0,LE]: (~'E'(f(X0),f(suc(X0)))|'E'('0',f(X0))|'LE'(f(X0),'0'))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2529,f172])).
% 48.07/6.73  fof(f2545,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0')|'LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2531,f2415])).
% 48.07/6.73  fof(f2566,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0')|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2545,f172])).
% 48.07/6.73  fof(f2596,plain,(
% 48.07/6.73    ![LE,X0,E,X1,X2,X3]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(X3)))|~iLEQ(suc(X0),suc(X1))|~'E'(f(X2),f(suc(X2)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X0),f(suc(X0)))|~iLEQ(suc(X3),suc(X2))|~'E'(s('0'),f(X3))|~'E'(s('0'),f(suc(suc(X2))))|~iLEQ(suc(X2),suc(X0))|~'E'(s('0'),f(suc(suc(X3)))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f1196,f1190])).
% 48.07/6.73  fof(f2601,plain,(
% 48.07/6.73    ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2596,f296])).
% 48.07/6.73  fof(f2613,plain,(
% 48.07/6.73    ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~iLEQ(suc(X0),suc(X1))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f2601])).
% 48.07/6.73  fof(f2614,plain,(
% 48.07/6.73    ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(suc(X0)))|~iLEQ(suc(X0),suc(X1))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2613,f1190])).
% 48.07/6.73  fof(f2628,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0')|'LE'(f(X0),s('0')))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2566,f1188])).
% 48.07/6.73  fof(f2633,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'('0',f(X0))|'LE'(f(X0),'0'))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2628,f172])).
% 48.07/6.73  fof(f2634,plain,(
% 48.07/6.73    ![E]: ('E'('0',f(z)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2633,f191])).
% 48.07/6.73  fof(f2735,definition,(
% 48.07/6.73    ![E]: (sQ1_spl <=> ('E'(f(z),f(suc(z)))))),
% 48.07/6.73    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 48.07/6.73  fof(f2738,definition,(
% 48.07/6.73    ![E]: (sQ2_spl <=> ('E'('0',f(suc(suc(z))))))),
% 48.07/6.73    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 48.07/6.73  fof(f2740,plain,(
% 48.07/6.73    ![E]: (~'E'('0',f(suc(suc(z))))|sQ2_spl)),
% 48.07/6.73    inference(component_clause,[status(thm)],[f2738])).
% 48.07/6.73  fof(f2741,definition,(
% 48.07/6.73    ![E]: (sQ3_spl <=> ('E'('0',f(suc(z)))))),
% 48.07/6.73    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 48.07/6.73  fof(f2742,plain,(
% 48.07/6.73    ![E]: ('E'('0',f(suc(z)))|~sQ3_spl)),
% 48.07/6.73    inference(component_clause,[status(thm)],[f2741])).
% 48.07/6.73  fof(f2743,plain,(
% 48.07/6.73    ![E]: (~'E'('0',f(suc(z)))|sQ3_spl)),
% 48.07/6.73    inference(component_clause,[status(thm)],[f2741])).
% 48.07/6.73  fof(f2748,definition,(
% 48.07/6.73    sQ5_spl <=> (iLEQ(suc(z),suc(z)))),
% 48.07/6.73    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 48.07/6.73  fof(f2750,plain,(
% 48.07/6.73    ~iLEQ(suc(z),suc(z))|sQ5_spl),
% 48.07/6.73    inference(component_clause,[status(thm)],[f2748])).
% 48.07/6.73  fof(f2952,plain,(
% 48.07/6.73    ![LE,X0,E,X1]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1))|~iLEQ(suc(X0),suc(X1))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2614,f1189])).
% 48.07/6.73  fof(f2954,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(suc(X0))))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0)))),
% 48.07/6.73    inference(resolution,[status(thm)],[f2952,f296])).
% 48.07/6.73  fof(f2957,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~'E'(s('0'),f(X0))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(duplicate_literals_removal,[status(thm)],[f2954])).
% 48.07/6.73  fof(f2958,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(X0)))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2957,f1190])).
% 48.07/6.73  fof(f2968,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f2415,f2969])).
% 48.07/6.73  fof(f2969,plain,(
% 48.07/6.73    ![LE,X0,E]: ('LE'(f(X0),s('0'))|~'E'(f(X0),f(suc(X0)))|~'E'(s('0'),f(suc(suc(X0)))))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2958,f1189])).
% 48.07/6.73  fof(f2974,plain,(
% 48.07/6.73    ![LE,X0]: ('LE'(f(X0),s('0')))),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2968,f1188])).
% 48.07/6.73  fof(f2976,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'('0',f(suc(suc(X0))))|'LE'(f(X0),'0'))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f94,f2974])).
% 48.07/6.73  fof(f2977,plain,(
% 48.07/6.73    ![E,X0,LE]: ('E'('0',f(suc(X0)))|'LE'(f(X0),'0'))),
% 48.07/6.73    inference(backward_subsumption_resolution,[status(thm)],[f237,f2974])).
% 48.07/6.73  fof(f2978,plain,(
% 48.07/6.73    ![LE]: ('LE'(f(z),'0')|sQ3_spl)),
% 48.07/6.73    inference(resolution,[status(thm)],[f2977,f2743])).
% 48.07/6.73  fof(f3269,plain,(
% 48.07/6.73    $false|sQ3_spl),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f2978,f191])).
% 48.07/6.73  fof(f3270,plain,(
% 48.07/6.73    sQ3_spl),
% 48.07/6.73    inference(contradiction_clause,[status(thm)],[f3269])).
% 48.07/6.73  fof(f4261,plain,(
% 48.07/6.73    ![E]: (~'E'('0',f(z))|~'E'('0',f(z))|~iLEQ(suc(z),suc(z))|~'E'(f(z),f(suc(z)))|~'E'('0',f(suc(suc(z))))|~'E'('0',f(suc(suc(z))))|~'E'('0',f(z))|~'E'('0',f(suc(suc(z))))|~'E'('0',f(suc(suc(z))))|~iLEQ(suc(z),suc(z))|~'E'(f(z),f(suc(z)))|~iLEQ(suc(z),suc(z))|~'E'(f(z),f(suc(z)))|~'E'('0',f(z))|~sQ3_spl)),
% 48.07/6.73    inference(resolution,[status(thm)],[f2742,f340])).
% 48.07/6.73  fof(f4381,plain,(
% 48.07/6.73    ![E]: (~'E'('0',f(z))|~'E'('0',f(z))|~iLEQ(suc(z),suc(z))|~'E'('0',f(z))|~iLEQ(suc(z),suc(z))|~iLEQ(suc(z),suc(z))|~'E'('0',f(z))|'E'(f(z),f(suc(z)))|'E'(f(z),f(suc(z)))|'E'(f(z),f(suc(z)))|'E'(f(z),f(suc(z)))|~sQ3_spl)),
% 48.07/6.73    inference(resolution,[status(thm)],[f2742,f245])).
% 48.07/6.73  fof(f4486,definition,(
% 48.07/6.73    ![E]: (sQ35_spl <=> ('E'('0',f(z))))),
% 48.07/6.73    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 48.07/6.73  fof(f4488,plain,(
% 48.07/6.73    ![E]: (~'E'('0',f(z))|sQ35_spl)),
% 48.07/6.73    inference(component_clause,[status(thm)],[f4486])).
% 48.07/6.73  fof(f4489,plain,(
% 48.07/6.73    ~sQ35_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 48.07/6.73    inference(split_clause,[status(thm)],[f4261,f4486,f2748,f2735,f2738,f2741])).
% 48.07/6.73  fof(f4657,plain,(
% 48.07/6.73    ~sQ35_spl|~sQ5_spl|sQ1_spl|~sQ3_spl),
% 48.07/6.73    inference(split_clause,[status(thm)],[f4381,f4486,f2748,f2735,f2741])).
% 48.07/6.73  fof(f4855,plain,(
% 48.07/6.73    ![LE]: ('LE'(f(z),'0')|sQ2_spl)),
% 48.07/6.73    inference(resolution,[status(thm)],[f2740,f2976])).
% 48.07/6.73  fof(f4857,plain,(
% 48.07/6.73    $false|sQ2_spl),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f4855,f191])).
% 48.07/6.73  fof(f4858,plain,(
% 48.07/6.73    sQ2_spl),
% 48.07/6.73    inference(contradiction_clause,[status(thm)],[f4857])).
% 48.07/6.73  fof(f4859,plain,(
% 48.07/6.73    $false|sQ35_spl),
% 48.07/6.73    inference(forward_subsumption_resolution,[status(thm)],[f4488,f2634])).
% 48.07/6.73  fof(f4860,plain,(
% 48.07/6.73    sQ35_spl),
% 48.07/6.73    inference(contradiction_clause,[status(thm)],[f4859])).
% 48.07/6.73  fof(f4863,plain,(
% 48.07/6.73    ![E]: (~'E'('0',f(suc(suc(z))))|~'E'('0',f(suc(z)))|~'E'('0',f(z))|sQ5_spl)),
% 48.07/6.73    inference(resolution,[status(thm)],[f2750,f288])).
% 48.07/6.73  fof(f4884,plain,(
% 48.07/6.73    ~sQ2_spl|~sQ3_spl|~sQ35_spl|sQ5_spl),
% 48.07/6.73    inference(split_clause,[status(thm)],[f4863,f2738,f2741,f4486,f2748])).
% 48.07/6.73  fof(f4885,plain,(
% 48.07/6.73    $false),
% 48.07/6.73    inference(sat_refutation,[status(thm)],[f3270,f4489,f4657,f4858,f4860,f4884])).
% 48.07/6.73  % SZS output end CNFRefutation for theBenchmark.p
% 48.07/6.73  % Elapsed time: 6.195265 seconds
% 48.07/6.73  % CPU time: 48.887887 seconds
% 48.07/6.73  % Total memory used: 98.769 MB
% 48.07/6.73  % Net memory used: 87.170 MB
%------------------------------------------------------------------------------